{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Performing Quantum Measurements in QuTiP\n", "\n", "* EuroSciPy 2019\n", "* Simon Cross" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Outline\n", "\n", "* Why this weird quantum mechanics anyway?\n", "* Simulating a simple classical system.\n", "* What is a classical bit?\n", "* What is a qubit?\n", "* Measuring a qubit.\n", "* Simulating a simple quantum experiment in QuTiP." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Meta goals\n", "\n", "* Use QuTiP to try things out.\n", "* Try understand what we're doing!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Imports: Our tools" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from collections import namedtuple\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import qutip\n", "from qutip import Qobj, Bloch, basis, ket, tensor" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "QuTiP: Quantum Toolbox in Python\n", "================================\n", "Copyright (c) QuTiP team 2011 and later.\n", "Original developers: R. J. Johansson & P. D. Nation.\n", "Current admin team: Alexander Pitchford, Paul D. Nation, Nathan Shammah, Shahnawaz Ahmed, Neill Lambert, and Eric GiguĂ¨re.\n", "Project Manager: Franco Nori.\n", "Currently developed through wide collaboration. See https://github.com/qutip for details.\n", "\n", "QuTiP Version: 4.4.1\n", "Numpy Version: 1.17.1\n", "Scipy Version: 1.2.0\n", "Cython Version: 0.29.13\n", "Matplotlib Version: 3.1.1\n", "Python Version: 3.6.8\n", "Number of CPUs: 2\n", "BLAS Info: OPENBLAS\n", "OPENMP Installed: False\n", "INTEL MKL Ext: False\n", "Platform Info: Linux (x86_64)\n", "Installation path: /home/simon/venvs/qutip-measurements-euroscipy-2019/lib/python3.6/site-packages/qutip\n", "==============================================================================\n", "Please cite QuTiP in your publication.\n", "==============================================================================\n", "For your convenience a bibtex reference can be easily generated using qutip.cite()\n" ] } ], "source": [ "qutip.about()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Define LaTeX commands:\n", "* $\\newcommand{\\ket}[1]{\\left|{#1}\\right\\rangle}$ $\\ket{0}$\n", "* $\\newcommand{\\bra}[1]{\\left\\langle{#1}\\right|}$ $\\bra{1}$\n", "* $\\newcommand{\\abs}[1]{\\lvert{#1}\\rvert}$ $\\abs{x}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Stern-Gerlach Experiment\n", "\n", "Why this weird quantum mechanics anyway?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Apparatus\n", "\n", "
\n", "\n", "Great drawing from: http://hyperphysics.phy-astr.gsu.edu/hbase/spin.html" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "See also:\n", " \n", "* https://plato.stanford.edu/entries/physics-experiment/app5.html.\n", "* https://en.wikipedia.org/wiki/Stern%E2%80%93Gerlach_experiment#History\n", " \n", "for more on the history of the Stern-Gerlach experiment." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Why did they decide to do this?\n", "\n", "It had become generally accepted that atoms could behave as tiny magnets.\n", "\n", "In the classical model of the atom, electrons orbit the nucleus. A charge orbiting in a circle generates a magnetic field -- so atoms should act like tiny magnets and be deflected by an inhomogenous magnetic field.\n", "\n", "Stern had the idea that this deflection would help better measure and understand the magnetic moment of the atoms & Gerlach brought the experimental expertise." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\\begin{align}\n", "F_z & = \\mu_z \\frac{\\partial B}{\\partial z} \\\\\n", " & = ( \\hat{\\mu} \\cdot \\hat{z} ) |\\mu| \\frac{\\partial B}{\\partial z} \\\\\n", " & \\propto \\hat{\\mu} \\cdot \\hat{z}\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Here $\\hat \\mu$ is the magnetic moment (strength and direction of the atom's magnetic field) and $\\hat z$ is the direction in which the magnetic field varies (and which the measurement is made in).\n", "\n", "The assumptions that the magnitude of the the atoms magnetic moment $\\abs{\\mu}$ and the inhomogeneity of the magnetic field are constant allow us to make the last statement that $F_z$ is proportional to the dot product of $\\hat \\mu$ and $\\hat z$.\n", "\n", "Now for fun, let's display the $\\hat \\mu$ and $\\hat z$ vectors using QuTiP's Bloch class. For now consider this class just a handy way to plot vectors -- we will be learning more about what it is later on." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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PS6sL8T2N42JCAJjhmc593wuiLxMvV85UKxW88sor+OUvf4kffP/7AzbBZakl0N8MXtI09FwX7b095q4ZRTAMA41GQ26yngBIYn8CQClFr9dDq9VCp9NBFIZQswxV00S9Xu9HpVOO0fU8UEpRq1TmrnYU0r6ylS6AgQgx4yqXNE2ZZLJESJqqFqsETdcPklz/RMXf0zSF7/vI8hwKIbh3/z62Njbwgx/8AACKKN00DBAAHr++5cVFkOXlYrPYDwL4vg8QAtuy2EalsDoQeX5+7nJOfvg7wCWTpdcBpecWPjhhiJhPZmEUAbxm4ADRo78CevrcOTx48AC//vhjvPHGG+MVOPw1VRQFjXodnuehu7sLmmWo1GrY29uD4zhz751IPF6QOfYTjiiKsLW1hd3dXcRRBItvgDZqNZiWNVmuJwiYkILkHMeBYRhzj4MCyNJ0gIyFF3simmkIe14uW9Q0jZHZcFpixDjLm6xZlsHzfVa4w9NLn3z6KVzXxbe//W2YhoHP71/F//ze/4TvJ9/H+bfO441TbxSafYDZIQhPlizLEHG5ZBAEiOIYbhCgWa1iYWFhYKKjpTGN2nilwMg9hLLGXdgYi78XrxH/Ehgm+ixN8f/+l/+CF158EU+dOTPb+0IpkiSBH4ZQVBW1RgO1RgOapqHRaMgN1scbMsf+pCHPc9y7dw+bGxtIogiOYWCtXke9Xoeh6wMt4YYh9NIiv54kCYIggK7r85F6OVXDUwzl1Eo5etQ0DQb/rnJVisgtj8r7jor6M66/j+MYhE9gqqriF7/4BVRFwW9+73vMsyXP8XeX/xZhHgIA/t2v/x1eP8Vscuu1GrquC9d1UeGTmFAD2ZYFClbR+uDBA2RZhr29Pey3WqjXamjUan2DrmEDsiHrg5GvOfoRuNisJYrCujJxrfow0Q9H9K+88gree+89LDQaqIjN3ZIFw/B7TgjztncIQRhF2HvwAO29PSwsLyNLEliOwzx0pFXBVwqS2E8gNjc3cevWLaRhiIppYn11FbVarcgHj4oYhxtQlInJ5WmIypC8rwxBQoT9Ujw/4/LCiG9KAij6hQqHR0EaeZb1Cb0Y2EE6LJOfuJ4wCBjJ8XSJZVmI4xg///nPsbi4iNdee614/L32fdzv3UcKFv3uB/v47MGneHn1ZRBVRaNWQ8914XoeHEphiZwzP2fFtrG4sMBkkYqCTqeDbreLTreLWrWKBR7xDuw/lKWTM6p+BiShJeLXuI2DeN3LRG9ZFp46dw7vffABvv71rzP55rBySRihlc6jaRpsQqBrGlzPw96DB/C7XeiWBc/zsLS0NPH9l3i8IIn9BCFNU3z++efY396Gpes4e+YMy5WW8rk57XcqmhYVAyyVk6UpnDF2tuWJoEy0gshFRaWu6zC5X7qoNh12ORxW4AxgSA0ifkrSFC7PjVuc0FVFQa/Xw7/81/+KCxcu4Pnnn+9HwITg/7z6fyFHjpz0N2P/9vO/xUurLzPLAkVBnZO7X6pWHdDSE4Isz1Hnm6pRHKPd6bCcda+HSqWCZqMBq7TCEc9XFIVtaPL3pbz6oGNWUsWVD71PhFLWX7VE9I7j4Cc//SlarRYqPE1k8oYkhXulIPeydQGfYCuVCjzPgx8EqKkqNu/cQXt/H2fPnUNzYUEqZ74CkMR+QrC/v4+rV64g8X2sLSxgfX0dqqYV+m6gr/cuIt5JeWuOIAwBQg6mYIaiPlDmqhhFEZKSt4rjOGxzkm8MZmNsaw/IAEvHPRDFg5FrEAQIwxCqoqBaSoO4rot//vnP8Rsvv4xzTz894OGy6W7h15u/RkoT5BBdnCiu7F4ponZxfdVKBX4YstcAKCpNRS9WsfkKsA3YtZUVpjzq9dDr9XDP9+GYJprNJpySVlzk0sWxxPtR9s6ZhIFXgk+S5QnaMk0899xz2Lx3D6+98QYryAqCIp1m8tTOcCpLJcwgTdc0VBwHru/D9TxUKxVEnoerly/jqXPncOrMGbmx+phDEvtXHGma4osvvsDm3bvQAFw4exbNZhMAClIvF9gMm0pNQhzHSNOUbaANSRsBsKpGXsZfpFl4KsQwjAN5WUEGsxYgCVOsYYMw0Vw6y3NYpskIlxCWkglD/PPPf46XXnoJ555+uniOaN7xnz77O5AcSNDfhBSrmf9w+T/gxeUX+aWxycSxbVBK4QcBQEjh70541J2XlDEAoBkG80xvNNDtdtF1XWxub8PQdSw0Gv1q1fIKZETKZdZ0TTHW0nEogEsXLuDalSuI4xi1ahVZniOOIrbx63kg3GbBLL1PFCxNRrMMOm/o7fk+PN9n5B7HuHn9OjrtNp594YUBjxqJxwuS2L/CaLfbuHPrFtxOBzXbxulTp4oqQkE6CnBAYjgLKKXwebQuyEwg452BoigqSFqYbk272RVFKUy8ALBINc+R8zEXaQoxCYjx8O9hGCIIAhBCUK1WYZTOlyYJ3nn7bZw/fx7nz58fPDEh2Opt4r1778GCjQwHI+Oru1fx2c5neElE7RyC3APfh6IoMEqVqQNadVHGz6+z2Wyi0WigyyP47d1d7LZaaNbrqDhO36udR9tpmg6kXEZtds4CApb6uvjMM7j6+ed44xvfgKoosHkfVmG3EPJiM03TivdP1AekvPMVBeD7Pnzfh8N97XcfPIDb6+G5F19Ec2Fh7vFJPHxIYv8KIk1TbGxsYGdzE1kYYnVxEStLS0VfzJy3YVNK6grRAHoaxCaoUK7Ytl1MDBGP+Iq8uabBMc2BZf0sE4hGCFJBWLTfBq9QboxY5oviqCzLYOg6nEplYPWRU4p3330XzYUFvPjCCweeTyjF/37lP4FQBRQUGRmd8viPn/9HvLTy0mA+nxBUHIfJKD0PSrVaXGO5SImKCbR8XkLQqNdRr9XgeR46vR729vex12qhJorCCEFabtgxdG6gv+qYJ7v9zKVL+L//839GwElZpKMMXYeh60wzz03TPN+HHwQwDIO1FeTHEMVKQs9fcRzUazW4noeP338f5y9dwplz52Rq5jGDJPavGLrdLr64cwdZEMAgBLWVFSw0m0U+HThY1j9KTz2MAVUL2I1MwCope65bdElSVRW2bcPkvjED5yjnzidFmjxHnaZp8ZxJk0EcRfCCAKAUFd5qb2jweP/996GoKl5/7bWRUsMH/gO8ffdtOKiOjNYFru5exeXdy3hp+cUD5F6rVtHr9eB6HmvaAb43wImdoK9+GSUrrFarqFar8IOgUNK02m1UazXUq9X+KmD4uRjMxYuV2DSYhoHzFy7g2rVrePXVVwdy+QD6XkClKF6sxBRFKfLxlmmyDfEwZEZijsNeC9fFnVu34Lkunr5wAbZUzTw2kNPsVwQil37z2jWQKEK9WmXa6UaDdRxCSX8+9NyJRWgiR1xSS6RpCj8IEKcpeq5byOga9ToaIypVy0U55XTE+FOy/wuFzLjH0zyHy10JNVVFs9E4SOoAPrt8GW6vh29+85ujlTWE4Mb+DeQ5hQq1kDmOw/X96yM3lBVFQbVaHahSHfXaFgQ65viObWN9fR2rq6swDQPdTgcbW1vFJu0wRFFT2Ys+p8zDnqIfzY/Cs888g3t37yISx+afj+GJVNc0VCoVNBqNQgHl+z66vR6SNIXD+8cKewZFUVCtVEApxd7uLq5dvoztzc0xVyzxZUMS+1cAYRjiyuefY39rC03bxtLiIhSeHijyvTxXParScRhiIxHAgbRHmiR4sLtbkKlj22jym13VtH7Ti9KxCaavCIpz801JkSoSvi7DSJME7W4XSZLAtm3UShFtGbdu3sS9e/fw7bfeOqjX5tcKSvHa+mt4afllGKoBTdWgKf3HqooKUzNhaibON8/jrbNv9Z87BFVVUa3VWDWu5w3415QxijzLyNMUuq5jbW0NK8vLUBQFD3Z38WB3d6C6dBJEikw0Ksk44ZffG8uycO7pp3Ht+vXhF6Z438raeoWrapqNBiqOA0opXK7pN7lHvVA+qaraT1H5Ph5sbOD65csIg2Cm8Us8PEhLgcccvu/j1vXryMMQ66urIIoCz3VhOw4qjtO/ucfIBfNSVCnSLaOQpikC30cQRfA8D9V6HQuiIcO4IqE5MCkdJKxqKfrVoyIdUC2V9g9jc3MTH3zwAX7rt34L1Wp16nlD7mbYqNfxk1s/wb//6N/jD7I/gHvJxb999d/OdT1JkuD+5iYcy8Ly8vJYEh+2GCjshEX0XcrVdzoddF0XOYBmrYbGIRpiDLhcgkVuQRjipz/9KX74wx9O3dwu3/AZd6eM4hhhGIJyzXzC/fTrfIKLogh+EBRpHaIoOHvhAhpcnSXx0DD2NpQR+2MM3/dx89o1IIpw5tQpmKYJz/dhmGZB6sDk2bdYpo/JY6dpim6vh06ngzTLoIklOb9pDxTEYD5SH1gdTAI/j+95iKKoSP2MI/X9Vgu/+tWv8O233hpP6kNpoUw0DJmxPH5SikPIARNuNDb2sthAmMFZyUZheF9BURQsLCxgfW0Njq6j0+ng/uYmwjHpmbHnKx1XqHUsy8LiwgI2NzenvhfllYZwyLRME/VajaVikgRplhWKGgJmY2waBmtozq2Jv7hxA7tbW3ONXeL4IIn9MYXrurh19SpIHOPU+jp0w2C5TQC1SmVAhTIuWi9cA8vVhhxpmqLHCT1JEjjcE0T4tojqUIF5Cb04P0+7jHuuOEOe5+h2u0izDPVaDVVeMSlUPWW4rot33n4b33jzTSwsLk4cAxm65mGb3YnP5eMfB9M0YZom4jhmOvfydfG0SCpseGeUm5qGgbX1dSwvLYFQiu2dHezs7Q2oZmYae3nfBMDpM2ewsbFR+NiLVQMwIjAQaZrSpKxwv5x6rQbbspClKfZaLfg8kndsG0RRisgeADbu3cO9O3cm7/FIPBRIVcxjiG63i3s3bgBZhjOnTxdWrzGPZJUSOY2SwBUKFdrvjymQpmnhUKgoCmzeUENRlMJtUXijDKtrZkU59z4LCldFSlGr1YoGHqJISClpvYMgwL/8y7/g5Zdfxqn19ZnHJKpejTm9xiddA1GUohArCkMohMA0jGKjkwwdY1iVUrbuHUa1WoXNe7L2XBdBEKDZaAx0bZqKkoR0fX0dH330ETLeUIX9e2jzt6SK4gOEgpLUkquZqpUKDF3Hzu4uM0DjY7VME0EQIMkyGLxheYu7ij598eKAT7zEw4WM2B8ztNtt3L1+nZH6qVOFRlyU9tul0vThVAPANicH/Fv4/1OucGl3Okzl4DhsU5Q3jwCYPzmlFDr3Jz8UqZfSALMgiiL0XJflbOv1ka32SCnqf/9Xv8LZs2dx4cKFgU3CA+MYipCF9n6eiL10sJF/Jvy4YrLtui4i/hqOu/5yqmNaHKtqGpYWF3FqbQ2mYaDN1TMRr/KdFQSAbdtoNBrY3dkZ+RgKDEbz6K+UCrll6fU0DAPLS0swdb2oZk3iuJBFsoOyicPtdnHjyhVE3IVS4uFDEvtjhHa7jY2bN6EAOHXqFCsUIYRVekYRbNPsR+ti841jXJSc8PL7tki5CJVLidDZ4SjiKIJCyKHIT5AsmaOIJgxDuL0eVEJQq9UGViKjcPXaNaRZhpdfeglAPz1UJngx2Q3nx4XSZF772aKfKn+9Reu7NE37kkNKUXEcqLwf7Kx57FntHUzTxKn1dSwtLIDmOTa3t7G3vz934+szp09j8/79mapZReWykFSKvYLyiE3ThG1Z0FUVpmki49WzPddlJC5qFACEQYCbn3+OZM5JSeJwkMT+mKDdbuP+9esglOL0+jorlec3vrCjtUpND3KUStlFNFX2HKHM36Tb7RY9PIVscVg2KEgwTdO5UxUFoWMOySMAz/fh+j40w0Bthm49rf19XLlyBW+++eYBZU/53EWBEIcg4yRNi65LZbIuml8LqWBJLy5IW6h1xGP4iQZSKURRmK0tpfAmbKYOjLm0opoFtVoNp9fX0ahW4fk+7m1uwvW8mZ9/+vRpbG1v9z1lZqw3KNr3lSJ4cQzHcQqpbaNWQ61SQZbn2Gu1CpM08RlNkgS3b9yYyehM4miQxP4YoNVq4e6NG1AJwZnTpwdK9AEmrdP5hibAbzjurzKq0jNNU7S7XVYiXtIkjyJ0gN2oSZKAAgPeK6wHCO8AACAASURBVNMwby5dPMd1XQRhCNuyUOGWBZOQJgne/cUv8Prrr4+1Dx5AaW9ApBDyPIc64JE+NBWJSL+U3pp6XTzvLwhQ13XmxcLL9Kc+XYx1Qq59GKqmYWlpCeurqzA0Dfv7+9jZ25speq9UqzAtC61Wa6YVw7BZW6GXz3OAF0qJ6tWEe8I7joOFeh05Ly4Tm8piIvM9D/du357pWiUOD0nsjxh7e3v44uZN6ITg9JkzB+R9eZ4jz7LCB6YoEOIbWwU4OfhBgE6vB+Q56rxUfTj9MMp3RLgzjpMXDjyf0rmjdIARRbfbRRTHqDhOoaSYcjJ88MEHWFlZwZk52r0N/55lWd+L/BAYNfmMmlQty4KmafCDYKBn69jj8jEpZHyl6ihYloX1tTU06nUEQYCNra3iPZyE06dP4/79++ICDqz0BEbt35RRXuEYvBI58H32u2HAcRzouo4oiuB63oDMs9tuY/PevTmuVmJeSGJ/hHBdF/du3YKtqnjq9OmRuW2RG9a5F8yATeyQlK+I0g0DjWaziL4HpJHshwGiopQiimPoM7S9o8BB9cQMSLOs0MrXqlVYvM3cNHzxxRdotdt49dVXZzrPKEISS/+jtHcbdb3i5hmQhRLm464QMnO+nT+RHW+O1IzQvq8sLQEANnd2pqaBTp8+jc3NzYHzlMcwsFcxK/IctvCTieOie5Su60VlarfXQ5wkxbl2t7exu709+zkk5oIk9keENE1x59YtaABOra+P3ThMeZ5SRNLDm5OjovTakPOhwnOgwOhSd5ELndbPtEi9zKlLTrhmngKo12oz9011XRcfffQRvvWtb81FysPXVxD7EeV2w8cdp25ReKk9zbKx/i+lgwz8fJjuRJVKhSlnNA273DlyXGqm2WyCUopurzc0DG7zwK9nltVGGZquQ1VVBEHQ7zCVZTAMo7CDEF2ZxKSxdf8+ekPjkDgeSGJ/RLj3xRfIowjra2vjSYtS5snB8+vDN/2kKL1/CBalK1xXPApJkgCUjpQaFsfB4YqUojgubt76hErSYeR5jl+8+y5eeOkl1A9RWl9GynupHiUVMxITNiF1w4BpmojCsOgoNesxD0Puuq5jfW0N9UoFnuti68GDsZ4zZ3ix0rjzz1pMNQxh8ZskCRRVZfs2lEJVVdSqVfZ68NRMlmWglOLOtWvodjpzn0tiMiSxPwLsbm8j2N9HkzsljgMFy8GWvb8BRiTelChdPB+lSGzczZomCbSSB/eBY+BwmvYwiuC6LlRVRaNeP0isEyL/Tz/9FJZt49KFCzOfb9zRjppfFxie2MgEYgcAmzem8DxvbNeosXr3QxSHKYqCpaUlLC8tIU9TbGxtHaiIBYDl5WW0Wq2RxxCKIAIUKqJZofPgIY6iYuxCMgkwV8tKpYKMS3BF3cRtSe7HDknsXzJ818X+5iZUXcfSiO4z5dtfKBfKFYIiSg8mROnl44wiooHHUYo0y0auGo5SCB4lCTzPg65pqNVq0zdJS9je3sbdu3fx9a9/fS5iGffIPMseStXjNO954cFOwWx+D3GCQ02o1WoVa2trMDQNO7u7aA2RZqPRQLvdPvA8SinyISliuQPX9OGyytuU++KUC8vyPEeWZezzwDf0i9QMgJtXr6IzYkwSh4Mk9i8RaRxj+84dJGmKtZWVgf+VXQCBvkxP3FR5ns8WpU9QrBDgAMGmY/LPR4nU4zSF57rQNA3VWm2uZX0Uhnjvvffw5je+MXMuXmAU+Qj99VE2TgdQ1q7zP03q4SqsbdM0ZfUIQ5hKl4dIiQAsLbK2uoqq46DX67HUDI+cK5VKYVExMJYJq4pZVzwGr1qO43jgfSeKUii6AKDiOP3UDPf8v3n1KtpjVhIS80ES+5eEPEmw88UXCMMQK8vL0HV9QIFAxPfhHCshSNIUrXZ7epReVsyMwXBKJktTUPRL7Sm4LQEOR+ppmsLt9aAoCmqlFnKjMMp86r1f/hLnz5/H8tDENw1la2JRUJPlOStzz3NQXqSUJAniOAbNKHTK34OMIE4S5lzIWwJmWca+yj7ndLBJxazWAKZpwjBNBGF4wL99ltf4sO+FqmlYWVnBYrOJJEmwubVVuEU2m82BqF0Uck0cxwz5f9ETVmzIF6CDjdQppbAtC47jIM9z+L6PKIpw8+pVtPb25rxSiWFIV54vAXmSoPvgAbrdLiqVStGpfqBakg62phOIowi9Xq/omzmugKicT58GhRDWPJqnYQilUHlEBcyvehFIuayNcIuAaemX4Qjx+vXrSLIML77wwoBneVENyjfcckoLXxOBAyoOvgkYxzFCnvMtjycLM1iwmFooIcyEDKVqXnEY9DeOi4kY/D3jRThJmiKx7aJxCFGU/nf+c8W2kfL0VL1eHzQG4xPyWExJ+UxDvV6HYRjY3d/H1s4OFptNNBsNtDsdrK6t9TszTUFZFpnn+ViSF02wk2Fyx+C+hOgXW+PtAqM4Bihl/QfyHEtzTu4SfUhif8jI4hhRp4Pd3V0QRcHi4uLIphMH+pRSCs/zmC5YVWHzbknDOGzKRJB7lqZQSmmYwy38gTTP0eOkXp9gEVBE1FmGJEkK4g6CAJ989hnefPPNgZzwAUMtTpSKovQ3fAmBJh4nVhtluaeisJRQ6f+qpcAFU+vkel54uheTTUnzX7a3pQAgqi81rWhLmGcZa9A9jnwJQcZbDiZJAqs0EVAwiaTKO2GNwzwVqsOwLAunVlexu7eHdrsNwqtWxYQ5D0RqZlIKSiEEKZ+IxxV3la/Ftm2AN8ymlOLOzZsApVhaXZ1rbBIMktgfIrI4Ruq62NnZQZKmOHXq1IHl6KjlbZ7nRQPpWrUKTdOYnn3Ix+UoeXCgrzVWeS77sMfJ8hy9brfQqSuKAsrNsgSJi7SGIBFajhIVBZ999hnOnT3LJoVy1MtJfJTcs4xxhCcKZoYnRaIQUPBWgspsFbcHzkcpkiiCYZpwyj4+dLA3qUgF5ZqGTGjbSb8lYDlaFteqKgoje074YrVB0PcJmhciNdPrdhGGIXb29hBH0dzXXoxVbOwP/T1OksLOOEnT8TYVpZUIAWvYkeU5wigqyD2nFCtra4ca35MMSewPCVkUIfM8tNtt+EGAxcVF5tXNl7DjSD3LMvR6PaRZhmqlAl3XkfH2ZOXo56ikDqBQLpiHvLEpP0a73UbKfUK8kka5DEVVoRICw7IYaQmiUhRsb2/D8zy89dZbh9rkHBc3CisBc05js7kwYrJRCBlbcGZZFrrdLhSeghBukVmWIReTH98PKKdphEJK1bRi4hPkP8/mtKIoqDcaIKqKjz7+GBtbWzi9vn5ochcrzayUmonjGJZpFhu044i92HzmPyuKwjzdObkTQnD31i3keY61U6cONb4nFZLYHwIEqSdJgna7Dcu20ajXC2IeR+qiTR2lFPVaDbquI89z1nYsihAlCcwjRtcCFKWNU01jESGlE5f6aZ4j5a3RUr7R6Pk+sjRFpVJByoupdF2HylvQFSmGUa8Tj+A/+PBDvPrqq4dXrowZs5CJHnthEnjkzEl3nvSIqiiwbRu+7yOOYxiGAU0UTw0RYOE8KdwVs4xtSnIr3Zx/jhRCoGka+1LVidJOsYJwbBvNeh2B52FrZwerS0tzq5DKEB23hJ2xZRigeY4gitiqcMJ7K1axopjJsm0Evg+fb/Tev3MHoBRrp08fenxPGiSxHzMEqQNAp9tFTimWefu2IsoeQepRHKPnulAIKXp9ihymIMooDGFyOdlRIMYh5G9F1EcIIw2+vBYKEfEllCEiN5wmCXRdx8rSEkzTPFS14pWrV1Gv1bA+RzekwYsZT6rCSmCaz/uhMGfxThmmYRQNoHVdH3sNKo/Kh0HBcvpZliHhkX7M1T5Af8Wg6Tojev7+DqS/ACwsLEBRVSiEYHt3F2vLy4cmd7F/IVYahq6zvZMoYtXTs7wHpf0R23EGyf2LL1gnKEnuM0ES+zEiT1Nkvs9IMUnguS6q1Wq/M3yej1SKBGEIz/OYQqBWK26CciRoirZjSTKXte4wxIag2MxTee46580jUi4JTHg0L6xZdRERcnuDXq8HVdPQrFYPTQae5+H6tWv4V7/924e+HqF+GQWhlHkYETvACHRYRTMLCCFwbBs910UYhjAtay7FCwHTx6uqCh0o0ns5LwzK0pQ1nA4CtqLg/1dFRM+/mgsL2N3ZwYULF/BgZwcPdnawvLQEa0I19CRkWYY4jlnwwYMXlQcAw/tD466Lkr6lge04CIOgIPeNu3dhOw4azeahxvckQRL7MSHPc6SeV6g4ur0e0jxHs9EoHjNM6pSypgxhGBZmSQPVjCU1hm3biOOYTQCNxszddwbOVwyEbZp6vs9+brVAS51yVE2DY1lQNW1g464Ys+chThLW+/KQpE4B/PrDD/Hc88/P5rE+7jgTCFEQ3rQmHkfChIllEnRdh2GaCKMImq4f6v0E+rnpPM+ZhtwwAP6e5Hne1+ZnGaIogihJUgiBYRhotVpQFQVrKyvY2dnBg91drCwvT7S6GAVKKXzfh0JY+0aFEOSUQuPWvePUMQeuhwcS4r2zLAvU9+EJtcyNG3jhlVeOlDZ6EiALlI4Jme+D8qV/kiRwe72BaH34I00pRa/XQxiGsCzrQDHPgGaaf4mKQX+GDj3DyClFmiTwfR/tdhv7+/vwPQ80z6FpGmzHQb1Ww0KzyTrROw5TNvDNOgHf9xFyP/WjbEpubmzA9Tw888wzhz4GxWRin5bbPTJmKNiZBJu3JzzM+zkwDLBVSVmqKXLpmqbBsixUKxU0G42iSbaqabAtC67rotvrIQgC1Lifz87u7kiPmUmIeC7dLrVcJIS3WeTSx9kuhss/+Z4PURQ4lQp07nHvuS5uXbt2aNnnkwIZsR8DsigC5flNQsiBaH341h9Wvoxa+uYlawABXdNg2TbCIIBpmhPdGMUxkiQp8q9iNaHym51Silq1Ot2HnTCvcC8IEAQBnDFjnhVpluHDDz/Ea2+8ceRoehKxigKYh4lCuXIIqDy69YKASQSPkGIDeNk+32gd1vILaKoKTVVhgpX1K6VVmVA2tdtt3N/awnKziUajMfU9yrIMQRSxVUjpGgiYxYDv+0jTdOrntQxhgCcIXKwgPN8Hdnexcfcuzpw7N/PxnjRIYj8i8jRFyiMuQgiSOO5H6wOt2BiE8iWnFLVarVC5lCE00qMoy7FtxNxfozEiJZNzaWTCS+TFElg3DBi6Dp0v++MkYZKyGYk1SRKEYQjbceA4TuHvfhhcvXIFi0tLWH2IlYVC6nhUspyGw+TYyzANA2EcIwgCtn9xmBQb7TfvPlDQNQU2lyXWuVlZmqbQdR07u7vY3t2FF4Zo1GrQhdppuBsXZU6jYt9gGAoh0HQdSZLMlt4ZmiRFD1vC1UQACzDu3LqFaq2GxggjPQmZijkSRF69HB21Ox2keY7FhYWDypckQbvbBQA06/WJpD4OBMy9L+epnJwyz3Y/CNDudNBqt+H7fqHfFumVWqUC0zAK4hAbi7NEzFmew/U8aIqCquMUeV1RNDQPsbmui5s3buCVV16Z41kHUXa8HAWh/nioqRgwwplUgTn1+dxugFKKaIRJ2DgIuWO5Rd1hYNt24R9DwFaF1UoF58+dQ6NWQ8iN54IwRLfXQ4f7/ydpyozpuNzV4e3xRkHXtCI9NBVjqlTF+GzbLtIyn3/22UztAJ9EyIj9CMg8D5Q3cQCAJI7hex6q1eqBFEAUx3C73QPKlzIKnTv7Zex5dU1D1XGw12qh2+3C4jdVYT3AS92B8Xp3KpoRT4sQKYXLux9Va7UDN55QPpTb7k3CBx98gOdffBG2ZR2JEIHJWv55Jq6j4qjyU1VVC6dDY0RUXIZ4xcZ5u0zziB+GZVkjXScJIVhfW8Pu/j6CIGDad8cpVnphFCHiHjyNRmPiZqauaQjBUjZkxCp24PrGjFvhEyihtLAf6HW7uPLpp3j51Ve/lPf5qwT5ahwSaRgiT5KBqLzd6SDJ8wM+63GawnVd6LqORqMxntT7v4w9b5wk6LkuXK5AyLmapVGvo95oMEUCj5Am3UCiuGWaFtvj+dFqpTLx5hGFMsIGYBTu3buHOIrwzKVLE885E6aM+6Fq2Occy9Sng+WQFUUZ2bNUeNSUC5YmD4cUBUPTYJomk0WOOc7y4iIqtg3P9+EHAWrVKuq1Wt9AjtdX9Fy32McZhtDRp2k6tWn32Cpi8EImIYW0bSiqigfb27h7587U63zSICP2QyBLEuS+P0BgSRzDc100eBMBgZT3+1QUhbV4G/HBL0hdFJEMPSbPc4RxjDAMWaRNCCzDQKNWY2kS14XreaiLiHoGaRnlN+UkiMjMtu2+Fn8ayKAJV1HsFMdF/9LDSgQHL2Dy84X877AywlkhNk9nlfONPY6iwLYspjqKIpiGMVX1Mw2Kqk7dC7EtC+4EVQ4hBIuLiyDtNlzPY5XQpglw0td1HVEcI45jJL4PRVFg6nrhFSOOoWla0apPeMwMgwITx1veUBU5fdfzcOvGDdTqdSzypt4SMmKfG3meI+P67zLanQ5ysGo+gSzP0XXdvuPhiAhZeKgf+DtYTr7b6zEvdt+HqiioVipYaDbhVCpQNQ2GYaBarSLLMnR6vYl2qmVkeT6R9NI0hc87INkjNsVmhYjkr924gdXV1eLmO1IaZobnZln25SzP+UR2lKhdpLB0w2DyxyBAxiuAjzS0GcZllXLsY49DCBYXFlCrVNBqt7G7twfHsmCaJhQ+IdVrNaayURQEUYRurzcQxWuaNmC1PG61OPWKS89RVRW2ZSFNU1z59NOp1/EkQRL7nMg8DxiKKhKuD6+VovWcUnS7Xeb7Uq0W1Y8HtOpk0K43yzK2Edpuw+31kGUZLMtiqZZ6HcaI0n3DMFAR5N7pIBrhgz0MyiPacf9z+YQk7GyPgjiOcfPGDbz00ksD6ZrCWmHODdhZSDTP84e+cVrGPNH68MansC4GpbBsG4TSY9sUnLZisXiR1DSkaQqNF66B0gMkSgiBruuoViqo12owuVOj5/vodrtIkoRZIJQabA9PPLMqrcp9gA3DgK7r8HwfVz/7bCZf+ScBktjnQBqGoMOd3ymF73lI8xwNrlunQKFYqddqA8555aV7OQ+epim63S72Wy0EQcA8xKtVNBoNOI4z0diJUgpD09Co16GoKkvN+P7k4p1xG6eUwnVdZDnzKD9KekHg2rVrOH3mDCq8wQgwSIQE6OfmyUFf+oNDnJKG4WT5ZW6ojXqVChkiSmQ+IkdeTokJ6wZhXXscmJTXNi1rbI4dYOMOo6jo2bq+toZGrYau647cDwC4SyOP4p1KBYqmIUlTBGGITrdbpGSA/usmXp9ZIO4h8RkS+xM7Ozv44ubNmY5x0iGJfUbkeY58xA1ACGEt6zQNuqYVpC42HEcWZfAPsNhQ6vV66HQ6rAGDZaHZaBRdb6bmykvH0lQVDR4tRVGEDi+COnAtfEIZ51sTJQkqjnNoK9cyoijCjRs38MLzz8/0eBHFiWhe4V2lyv1fy40vRkF4vn8ZEXuhH8dgFF5upzcgzZyhWtW2beAYo3bwVdLIc1nWWJmlsI8Iw5BF47w3wOLiIixuRzAt/aFrGiq8qtmybVaV7XlwPa8g+OJ9nfFyisfRvkuqwyWjd27fhn+YxuEnDJLYZ8RIUgcv3InjIhp1eYOMCteNjwJRFORZhp7rot3pIOaEvtBswnGcmZUcw02VAXaTVB2HeX1nGTrd7oGltlDSDEe0SRzDCwJYPH96HLhy9SrOnj17JD+Y8nK97Iw5rjgo4xvMSqkjkYia+79T5KCsRSD6BT5F/l4QMjAwkVDK2vKJ74Vx1fA4MUd6ZihS1Xgx0HFG7eNy2hp3YUyHVqIJDziyLINj23Acp/+6E4LlpSVomobdvb2D/U1HQOTibcuCaRhIkwS9MsHPWVhFSu8tAZvELctCkqa4fvXqHEc6mZDEPgOyNEU+FD2JG8UvaXw97rFt2zasMcSYZRlc32eEHkWwLQsLPN0yaxUoMJrUyzC4tFLTNHi+jzbPcwJ9DftAU2tehKQrCipH2CwtIwxD3Ll1Cy+88MKoCziWc4y6/pwTrqqq/dWReGzxOyncGQnt/70cgZfHOUD6I4gcON6bSVRpzlO0NA2jXithtCXOk2UZPM+D53kgPB04SqOuqipWlpehqCp29/Zmym0L6wJD11kEbxhsxeq6RfrvMP12CVdZmYYBXdPwYHsbezs7cx/nJEES+wwYjtbLN4jP1Sp5njML1qE2aQJZmqLrumhxQnccp4jQ5yH0ceMYBVVRUK9WCwuAruuylnvckreI2CmFx4uQKiOKkA6Lz69cwdnz54/kKzOMWSJYoQx6uELHY8SoSFrTYGgaoig6tg1BQkjRUKUMyzThcx+gnusizTLYloVqadN/FHRNw/LCAmieY3tnZ+o4y60ACSGwTJMJDjQNaZbBc10WKM1gGEaHfhb3kDAhu3L58hO9kSqJfQqyJDm4YcqRpilr/cWNjnTDGNggBPqR8H6ng4S3DGvyCF0pRZTA7JrlefxACCGw+Tlty0KcJOh0OkwTz8/n+T4SvidwXN7lQRDgizt38Pxzz42+hkNMHrPGcnmePzQP9ok4Zs28ZdsAIcdaNk8AEFXtp5co61rU63aZlzq3oTBNc6bPmEgh5mmKVrs98bGjerxSSmFzgjcMA0mawvO8whZjrmvjaTrRoerOrVtzPf8kQRYoTUFe3hwaqtYMfB9hkkDVdWiaxqx3xUPBLW6DgPmp8/xiOX9OCAGG7FanYdjxcVaIDSbTNFkf1nYb3W63aDjszFOENAM+v3IFFy5cGJuSOhRmnPi+bKnjAA5RfDVuQtdUFQb3Mze4xv04IPL/URSxCR4s4q3xRuTzolqpIEtTdLgIoFHqQVDGMLGXN5VFBC+6S0XcxE43DNiWNXK/Qmy6DkNTVVimibt37mB1ff1AsPUkQEbsE5DF8UC0PrwB5bouoiiCY9uo1WoF4SY8egmCALphYKHZRKVSGbspWp4MJoFSekBDPy9URYHjOKhwKWOr3UYQhkzJcUxLV9/3cffuXTz77LPjH3RMOfYDh8WjJfbD3FCTNllFGis6pqhdpAxd3r1JdMc66sTRaDRQse2JMkhCmP2zKL4aFZGLnH+tUoGh60jiGL1er9gfKmMUqQv1j8ldK2/dvDnyuScdMmKfgHK0PlxMIRpVC1IXWmHf95kOnXehNwxj4hJ9FtMv9u9+ZHNk8OW3KqJ4y0LMTZ10XYdlmkeK3i9fvoyLFy9OVNaMU7RMHvYMKxph/vWQrQTG4jjsEkrQVBUGl6+aRyDfNE0RxzFTsFDW2ci27aJN3lFsmAUWFxeR7uwUXZlG7a0oilJ43ky6L4SKRtd1+L5fpDotXu0KoKh5KH8uKPqRvG1Z2N/ZQWttDaurq0e+vq8SZMQ+BnmSTNzEae/vI81zrK6sQFUUxGmKdrvNOiKZJhq1GgzuqTENYiUwrkBjmgJmXlCwCDDJMtTrddRrNTR4Dl6oFNpDefhZ4XkeNjY28OyUzkhzk/qMjytcHR9VKuYwmPIaWzzfPa9ChnItfK/XK2S4hmGgVquxGgtdn8swbBpmkUESRUHK5bazHE/jNsKGriPhfQimRuD8WoS19Nbm5hNnNyCJfQwy3+9XuAEDBB1FEVzPg2EYcBwHrueh1+0W1raVKU6Io6AI3fXQDXbcpA4w8gvDELqmFVG1whsZLDQahZOjsDbwfJ81JJ7h5v/s8mVcunTp+HtSzrqx/KgjdhzvewWwqN00TURxPJPSI01TBEGAbq8HnzdXtx0H9XodDo/Si7GOiHqPgokySH4v0Syb+XwEbJK2TBMVXgshIvg8zwvp7uCT+gVZhq6jxVcRTxJkKmYEsigqCGI4r55nGXzezLlSrTLzL+7nUi7imBfFpihvbzZc7HKcCHwfNM/hjNpUIqzJscE1xlEUFWkaQggM7tyna9qB1Uiv18PW1hb++x/+8HgHzCPPMAxZZSzf9EuShNUY8HZweZYh5ptuKl8BZVlW/K/4Oc+RpAl+RP8NYqRwbjj4+zv/BxRVhaKqUBUFKv9ZIYSlKxSl+L8mfuZpBYUQNJtNVtjFC3BENDwLZnmcaZrF+zBsyiYsdJMkQZokRZpD1zQYjjO1JZ2iace2vwL0ZZA7e3vY3tnB2spK0dxaXOs8+yDivlAAVB0HcRwj4k26LctiQcRwQAQ2uedg0tGtjQ00m80jGdp9lSCJfQh5nvdz68J5UYBSeL6PMAz7eUIA9Xr96IqScmReKrE+blKP+E1h2fZUSaDGfUsqjoMkTZk9a5IgimPWbUeQPCexzy5fxrPPPDOzFUGapghLRB2ViDsKQ4Tii7fwsyyrqIo1+eSj6zojW060SZqCUlo0MxGErPJlucp7fP701v+D/+3Tv8Hv0d+Hd9HDv375DwcmgfJkcWBiKH0X49/e2iqslcMgQBTHMAyjGLNlmrBE5aW4Dv73WV4vkWsPo4hJEbkdRZIk7JpLZG5ZFmuzN+OqcZKH/mEhZJCtVgutdhvNRgOU0gFlzDwb3MJPiIJNcpqmIQhDBEGAlFduD1+vyLcbhoHW3h5arRasMQqbkwZJ7EOgcVyUjA9/UMIwRMJv3jhJ0KjXUalU+h+U4YlgnvOWIg7CI43DVOFNQk4pXM+DynOXM4Mw5z5d1wHKWvGJBtlxkoCAvTZbW1v42te+NvDUlDcZ6bkuut0u3F4P3W4XPdctvL2HyU9Ev4LEDdOcObXS44VW9Vpt8iUpQFFfStC/vjnhcWJp1OsHrltMShH/HoYhOr0e4p2dfhci7rFv2TaqtRpq/Kteq7G+uaUxGdzFsNVuF1W1wlVR2BAchrQUvkocJx88LKqVClKuEFNVtUjxEUIOVTxUOIHySaHCo/cwjpGmKSqVysHJgl+PoevYvH+fqXeeAPmjJPYS5FHO+AAAIABJREFUKKXI+QbVMJFkWVZYBmR5jka1Omhpe8wkrIAX8RzjcT3fR04pnErl8EUvJZKv2DbSLEMcx/jkk0+wvLyMa9euwQ8ChEEAz/MQhSEcbuVarVZx6tQpPPfcczB5VDkLEeXlcv4pyPL8WMzLZsaYcSmKAttxYM/gkZMkCZv8ul10eTrr6pUrcD0PpmHAqVaZXws3lVM1DSvLy0XketQIlChKEd0Kg7jjQq1WQxAE6HS7A6uTQ1eFiuCJT2riNfCCAK7nHazH4HsIuq6j02oxJdsRUqZfFUhiL4FyMyJQCpSjdUrRabdZa7BKBVEUsarA0v8BHFvloWi+UaRlxAbREY4fJwnLz1rWXJWrw0izDK39fXS7XRZ58wbHURii3mhAIQQObwZi2/ZAP1aR2tE07cj9TkdBFLx86f0vRxXPiL2SGaBrGmq1GhzHwdLyMtI0ZXsHAEtPBQHbMOSeKl3XBaUUjXod1VoN9WoV9UYDCwsLh9q0JkARsY/rbjQMmqdIuw8QdzaQdDaRdDYQPbiJpLsFoqpY++/+R+grF0EIwcLCAh7s7GBvfx8ry8tHWhkIX5hy0KOqKqrcq8n3/ZEmdkopJVOv11GbsqL7qkMSewk5V34Mz+atdhu9Xg91nnpptdswhqPCo5J6yYRq+FiiHdhho3dKmce6oihwbLvw1p4FQRBgb2+v+Or1emg0GmjU66jV6zh95gy2NjeRpCneeP31gefmec7ywGnKUhNRBPAVkfCqERuVKs+RjyJlQTrTkIsG3V8msU94T0a1y6NDufssz5Hx10dAVVXohgFN09Co1Q5IN3uuyzbA+fva7XaxubmJVruNiuNgcWkJy8vLWFpchFNOFY6Bwr2OgMl1Fe6Nt+HdehdJZwNJ9wGAERMXZYV97Y//Aau//WcAWLTcqNfR4u31inMcEkLJk5UCFEVVUalUitaCOaVMJloybNMUBZ7rwvO8QynXvkqQxM6R5zloHB/YLO12u+h2OqhUq1hoNhFwbbcuIqMjRtLFqUrnHBkBzljINApeELCmHyXLA4z6UFOKTrc7QORJmmJ5cRELS0v42te+hubCArTSczNK8ctf/ALf+c53DhxOUZRCYcMOz+xhCwVHmiISq6TSdaoldYqw3i3koBMgyOmR+MSUIPrWZnzDtSDxLBtYqRCwsap8FVOe4CbBNE0kSQLHtrG8vDxw3k6ng729PWxsbODjTz4BKMXy8jIWFxextLSEZrN54PgDTU94dejwiipp38POP/8vk6+7VHhUe+FfDfyvWq0i4E2vLa4cOiqUoVURIQSO4yCMIsRxjDzLirQLAdfQxzGTK7su60F8QiGJnaNIw5Q2QkWawbZtLC8uMkOmJEHGLUKPM/9NwOOfKVWq86ZmxCaeaZqF7E2obURaZZcvk1utFkzTxOLiIpZXVvDCCy+wLkoTjn//3j1UeYHT1Gss5ecNXS8ms1GSxCSOEdPRTSpEZF804uDEnyQJs37lm3Nl7/bDomzhK1ZNeZ6zJhq8HiDNskLOJzbeARSNNgghUHnpfllOWbR4m9POQeeTQMgrhcuvb7PZRLPZxKVLlwD0V1y7e3v44s4duJ6HhWYTSzyiX1xagqooAw1Zyk1Nir8ZVbCdn4PjpABoniGnnFzPvQH7zCsHHrfYbGLrwQN0u10sLS7OfL3jQHBwH4oQwpqHcAL3PK+fU+cV11EQwOOGfY/MU+ghQxI7h4jWCSHIswxur1dsXi1yUgfYRpdCyMRWdYc6/xyR/6ypGbFUFwZgALC3v487t29ja3sbQRCg0WhgcXERFy9eZJ1x5jTtunb9Op6fsTvS4EUM5khVVQWGVCkZT+XkvKClIFQeDYtmFwJhHCOOoqLrUvlcw6348pCiCpZnJbGCTq/Xfz0pHSD0SSj3l9VUFUTTmHyQk7YosJmEefPNhBBYhgEvCJBl2URysm0bTz31FJ566ikAbKLf39/H3t4erl67htYvflE8dnl5GcvLy8VkidJroDlNNF//Edof/O3g2EXTEQiproLFN/+HkWNRNQ0LzSb8jQ30XBe1Y+inW0yopUkUALNfIKy7med5sG27eD8C30et0UCv10Oz2TzyGB5HSGIHT8MkCSvrzzJ0ez3EUQSt1A5MIEmSQvZ3XJulh0ERvU8geNHmLgpD3L51C5ubm9B1HUtLS3j2uedw9uzZgbTKvNhrtRCFIdbX1g59jElQFQVE04Ap/V5FM2jiedC4yRn/Z5+g6WA3JJBBuaPGUz7l7kzlDeziO18dEEWBwlcgeZ6PJCmRkpkKRQHmtKjVDQNKEBSNXWaFpmlYXV0tvFM+/uQT3Lp5E7Zt45NPPoHneVhfX8ep06exuro6kNZqvvoH8G/+N8SdjQFCL6P23PehN9bHnt9xHDiWBTcImP3GMXj1i0lo+H7UdR1EUeD7Pjzfh21ZUFUVgedBVVX4vn/g/j4pOHlXdAgIUgcA1/OQpSkUVYWhabCHIlhhJXp8J+ebpiPsBGbBKIKPkwQb9+/j9p072N/fx8LCAk6tr+M3f/M3Ua1W4XkegjA8EqkDwPXr13Hx0qWHtgk1HIWNgsjJAyzyV0xzplWHYhJ4cNl59Pzw2uYJCiNCyGzv6SHed0VRWMESJ8d5U05ZluFXv/oVwjDE2XPnUK1UcOmZZxAEATY3N3Hr5k28/957WFxawvqpU1hfXUbw8d8hbt9nG8A4WDxHVB3N1/7N1HPX6nWEUYRWu4211dXj+fyQ0dYIGt9U9TwPnu8XWvrI96FbFrrdLluRnzBIYgcndgA+77+ocF2vU60ORAFpmiLLMlR0/fij9SPm60N+Q969fx/7u7toLixgaWkJb7755oGI7jgKUYIwxOaIgqTjxjyE9SjsekepmMqY5bU+7CfJNAyWS+YNXGZFHMd455134FQq+O53v4sPP/ywSC3ato2LFy/i4sWLSJIEW1tbuHvrGj56/5fQ4wAN/RKa8SZM6h44bv3lH0KrLEw9v6ooqDcaCIIArU4HSwvTnzMJIsUybnWkch8k13Xh+z5Ttu3t4cJzzxV9XU9arv2JJ/Y8z0HTFFEYIopj6LqOOI7hOM4BdUXCfTiOzeDqiOTa7XRwf2MDWxsbcH0f6+vreObiRTRefx1+GKLqODBHLHVFG7GjWBbcunULT505cyzqhnGYd/KZFt0/CsxiT3zYT4FQ08RzELvrunj77bfx1FNP4aWXXgLAVnijqm51VUW98ynWrv6vWMxyuNoKuvopXGv+ABqAenATzWQTdrYPzaig+Rv/eqYxEEJgGgY0VUWXk+2Rmp1zKIQgG0fuqgrbshDwCuDyhBsEwWCx4QnAE0/sNEmQxjGCMIRpGKxyUVFgjSCsJI5BeV716CemB3+fgZSyNMXdu3dx8+ZNRFGE06dP4zdeeQVLS0tFP8tWuw1dVQtSHyY8wr8O20IuzXPcuHED3/ve9+Z+bjGGYy5fFxupj1rqeCgc4XUQ0sdkDDmXsff/s/dmvZFlW3rYd+YYySAZwSCZZCaZ81g5VOW9lVWVU91CG92SLDTsNiQLUsuQLHdf27/AMPzSfjEgA35wdxuSAMFo+cUtCBDU7e57b91bI3Oqyok5Vc4DMxlBMkjGeOaz/XD2PjwRPBFxYmAOvPUBicyMiDPvs/baa33rW4UCLl++jAMHDmB6etr73LasDUJhVm0Vy1/+OaovbwLgIMDBAFnFzuN/B4m951BYyuHBV6/wVDoBgMPU6ADGOBGhp3lCMJBMQtU0rJVKkClvvxcQSgkOeoscx4EkSbAdB7ppghcErBUKiCYSPxr2rQhLVVGlDaklSYJerbryoAFGlumi9LOFnIc2Rr1ULOLx48d48eIF0uk0Dh46hOzo6IbtNNr8OJlMbiyOoQaeceK7NayvXr7EwOBgTzzgUNWNHXjg/gKb14p250jpqS1/00XylKEZ9bER8/PzuHnzJj744IMNTSdMy/KMKiEEtWffY/HrfwVHL4OZSSU9jfTZn0McnAAAjGQnkPz091G48G+hRqewEhnH3/zt32JiYgI7Z2YwNDzc/JqZAeZ5DA8NYWl5GWvFItIjI13dAw+EeI3l6z7GurGPKApsKt6Wz+Vw4MgRlEolWL57sBWwda6kC5i6jkqxCI7jkEgkUKlUXBW9JuEFs18Pv8GoNTNxtm3j1fw8Hj15glqthpkdO/DZZ5/Vyxn49+M4UGs1TxCKwWN6UC+ZxSS78RQJgAcPHmDf/v0db+tHO4+907AKe5lfdzUh01hpBr8qYfOddO+xh6E+3r9/H48fP8Ynn3wSOBmbpglBFGEbGgqX/h3KP3xedwWDR34PQyf+AA5X35BDHtmB8b/7vwAAdgIwdB3Pnz3Dle++gyAI2Dkzg6nt24MnHLofWZYxkEhgjdKLEz0IdLGnsGFsNdzfWDSKSrWK1dVVlIpFgNIit5LMwG+tYSeEoLS8DIe4Eq+WbcOy7XVvnbFMfFQqyzDcrki9HXjDR41moVwu4+njx3j6/DmGh4awd88ejI2NebHxZtA0DTYhSLSIV/qLeroxJyurq9B1fdMojh46NHaex/42hmLCsmO6RDPqIyEE169fx9raGs6dO7eRWkhczRVN02AVF/DyF/8aZvGV97UYHUL67B8hMnEIAMAT0jSGDQCyomD33r3YvWcPlpeX8eTJE9y+cwfbJiYws3MnhliSlDK5GBKJBFRd3yAU1hU4DlwDDbMxqcpxHOJUW+bRgwfYd/Dgj4Z9q6C8tgZb15FIJFxOa7Va7637vTDqAdiEILIZ2XMaH3756hWePH6MUqmEHTt24Pz586FpeMRxoGpaqFilv3lInYEPYXwePnyIXf2gOLY7VofGkHlorzvG3ksCul8Ioj5aloVLly6B53mcPn16PdQCgCMEDuiqyHFgGRoKv/rfIDjr7eNi0yeR/uifgY/4Ys+MUtjuhDgO6UwG6UzGraF49gyXLl2CLMvYuXOnK4PgrxbleQynUq5Q2OoqsplM1/eCVaPytPq4mQwH66laq9WQz+Uwkk6HylO8K/itNOy2bUMvl92mzbLs6pb4vfVG0EKTdsvutggYYKZp4sGDB3jw8CEGBgYwPTODiYmJjg2nqmmuJG+Igo9Gehi3/kVLPRpGcTx69GhH59bkJNoKaHUCx3HWS/RfN9ocM5Qx7BGsdZ5O+wnMzs5iZGQEx44dA+CTRvB5s05tFYtf/l+w7D3gHVecjRMVjHz4T5DYcybwuljXqNDnFYlg37592LdnD/KLi3jy5Anmbt1CNpvF4cOHPTaPKEkYGBjAarHYE0umsa9BK4VNURShSBIWczkkBwagquqPhv1dRnltDTwhXqxaU9WWsfW60Ey3HmGDobJsG48ePcL9+/cxxoqHulwKOo4DVVURkeVQUgd1jUEav3N/QL+u//7JkyeY2rYN8msY/J16wv3WEQ+NEGwmjuOAhnaH/YZAZZELy8u4efMmdu/ejd179jTVPa8+/Q7Ls/8Glq6CT+4EBwIlvROZsz+H2KJyFMwb7jS0xPPIjo0hOzaGtdVVPHz4EL/65S8xPT2NfXv3QpJlxGn/4GKpFNgRKQz88fVW3HYGWZZRqdWwvLSEaDQaSDp4F/FbZ9hN04RerSKmKOB4HqZhwLJtN2nT4oF6TZJ7PL7tOHj65Anu/fADhkdGcPbsWSQTiToRpk5RU1UQQkKXlnNNDHez3wGuiiOjOG42X5w4TsdG2nGctposm4KwE0qr+9WH+DshBGurq7h27RoOHT6MHdu3B3qrjqlj5dJfoHL/CwCAzUfAwULqvb+P1InfB/gQJqHHiUpWFOzduxcHDx7E3Xv38Le//CV279qF3bt3Y3BgAMuFAqq1WldaMnVjmtsoZtYIxqmvlEpQaZ6iUcv9XcRvnWEvF4sQiavVDEKgaRpEQQhegvnCBaxkvyuDRkvjnz1/jrt37iA5MICPTp3qiwARo25FotHQhi2sYfdjaXERMdrpnoF51d0Y+la/7qZzlPO6OydRhD3LzeDt+/H40SPcvXcPR48eRapJJae+/ARLX/4prGLO+4yPpaHEkkh98HdDH5sl4LttlsIE76LRKE4cP47q3r24c+cO/vYXv8C+PXuQGBhAuVJBPBbr2Gtn99mv09Nu9SeJIirVKkrFIgYHB3807O8aDMOAUathgCq9Ga28dbbEpkbGi0d3ONAIXGnb23fuQIlE8MHJk8F83S69H1VVwQGIdiqmRGUTwuLF8+eYmpqq+8xPLwN8hh6dhVE2oIuK0zdWnBTSY+85zk7WuwY1GvW5uTnkcjmcPXsWPM97+RavvSMhWJv7T1i7+peup00R23kKwqHfh3TzTsen00t4iThOncGOx+M4efIkSuUy7t65g/sPH2JsfBxR2hC7o33780b02TTqtgddS0RRsLa2hoHBQaRSqXc+HPNbZdhLa2uQOLdPou331jsoiw/7uAmAfC6HW7duARyHo0ePYnR0tLlgFDp/8S3L8tr0derZ8EDo1m2WZWH+1Sv8zqFDLX/HNfztxwZj38cX501RHT252h6vZcNzb6DreYa8waAzIS9d03Du3DlIkuR1qjJN062krhaw+OWfQ8/d87bjpChGPvpDJHZ9jOXl5e5WOhwHXhC66l3arH3hQDKJn/70p1hdXcWNmzdxcWEBB/bvx/bt20M3M2ceuz/By8FVkW+6B0LcnqjlMtZWV5HNZjtSzHwb8Vtj2DVNg6WqGKQPzPJ760FooDuig5e4UChgbm4OhmHg4IEDmNi2rf2E0EX4Qa1WwQEda6gDCN3bEgAWFhYwMjzck8Sq//pZ1aufgeMPD3Ua2mHX8Ta3OgtUevQZbBbqCzsCmJBXPB7Hx5984l27KIoQeN5djb68huVv/w2IoXrbyaN7MHr2jyEmXUqh0YNaabfTWbvnOzQ0hI8/+ggPHz92/zx4gEOHDmF8fDzUvoNCRC29dvpsYpEIlhcXkRkdxbZt20Jfz9uI3xrDXi4WIVO+LwFae+sBTAfSYICCYNk2bt+6hZcvX+LwoUPYNjkZ2tPoFKZpwrAsxLqIQwIAJwiwfX02W+HZixcbwjC9gIN7H4M6RnlqiT4j187Iv8mqU6D5+flDU+4H9d2Y2FasUURYVMplzF64gKmpKRw4cGDD9xLn4OXl/xfkyRfwAm4ch9Sx30fq2N8HuPX7pFKd8q7AYu2deO30HrR7LyRJwlg2i0QiAce2cXNuDs+fP8exY8faxsCDDHjbFTGVFClXq8jlchgfH3+rHYV2eHfPvANYlgWbKuBxcEufLdtuWpofFCZgCZ9mL3GhUMDnv/oVdMPAz372M0x1sHwEOvd+1FrNzeh3megReB5OCCaObhhYXlrCxMREV8fpFBzWKZf+Fm0EqPvDvFz/stufOOs3Go/vX22wGgfiOyeHeeCMJkuIJ9IWmkkTgEKhgK+//hr79u0LNOr64kMs/c2fQH95AzbvOi1CMoPxv/M/I3X89+uMOoCelRW95xUS3oQW4t0YSCbB8zyUSASffvopItEofvX553j16lXTbVpNMmFCdZFIBGsrKx01fH8b8Vvhseu6Ds62vViipuvNmTBt0GjYbdvG7du38eLFCxw/dgzjzABugnFhMAwDhmUhwXo5dgGmOd8u0Tn/8iWyY2OvjXESdNcCr5Hp3WB90m1MnjYz8OthHwc26wREk5OcbxvPI292rnQ7PiDM0qmxC4P5Fy9wc24OJ0+eRKaxOpM4WLvxH7F2/T8AjgNBSMLmZKT2/AQjH/5j8FKwE1NVVYz3ws7i3G5SYfM1nRT6CYKAZCKBYqkE0zRx5MgRTIyP4+rVq3i1sID3jhypqz0J284wEPQZKJKEtXIZ1Wr1nZYY+K3w2A3DgMjzEAXB66PZqafL4naCr9PRysoKPv/Vr1Cr1fDZZ5+tG/VuENZAE4IaVaPsRbeGLTPtNl77s2fP+hqGqUOTKt9O0Yz3zvm8fv+f9e/5ulUVF2CcW9Iy2e97CLeFvdoffvgBt+/cwenTpzcYdau8hIW//hOsXf33HutFEgWkfvKPMPzxP29q1AG3OK/rUAxFNx572NVsIpFwddvLZQDASDqNTz/9FDzP41eff45cLuft12FN3lucZ9MJhb3fNERZpsd7V/Hb4bGrKmLU49QNA0Dn0rv+l5gQgtu3b+Pp06c4euwYJvuQaAn7cuhU/iCRSPTExmANn1txkSvVKsrlMrKbJPgVFPfshhPfjGXxtiGICtruSgkhuHbtGorFIs6ePbshgV15NIvC7L8FMdcTpJGxfUif/u9Qtt2mMa0Md61a7b3JRQexdkL1W8I+Y57jMJBMYmVtzQsbCaKIY8eOYWlpCdeuXcPI/DwOHz7sVkS3ISE0rSfwnY8kilgpFOBsYtvHzca7edYdwDRNwLK8MniTdknaEG9r5ynSQVsqlfD5r3+NSqWCzz77bKNRZzHVTYKuqhB4vufORSxs0SrO/uLFC0xuYgJ4g158wGdhwHRiXjfCJNQb0fjLViPFMk3Mzs5C1zScOXOmzqg7hoqlL/4Uy1/+2bpR53mk3v8DjP3u/wQxmYEkijBo28cgOIRA0/WePXYgfKzdYz118LyisRgkUUSpXK6bPDKZDD799FM4hODzzz9HfnEx1LvX7nnJkoRKuQxd10Of49uGLe+x67oOjhAIkgTLtmE7TvBAbvOwNcPA/fv3oWsajh49isnJyfXmua+pmMGyLJiUCdMrmGBWM4+dAHj+/DmOnzjR87FCo8sJ0SEE4hsoKOnmbBvj0c3OWlVVzM7OIp1O4+h779WNMS1/H8tf/imsSsH7TBzMYvTMzyFndnqfybIMwzSbNpHQNM2lyvarmXQICu0G4bkQ4DkOg4ODG6QGCNz7eeL4cSwuLuLq998jOzaGI0eOtMwJtfTaCYFI2TG1Wu2d5bNveY/d0HVIPA+B4zzvZQPFsY2XbVuWp2ttWxYWFhbw/PlzaLpeP/tvoqcOuElfAH3pucpxHDhBaOqxr62twXIcjLwDHdxbhWICnwhNsq0zV5rvO8gT9f7vM1Khn3wQvbMBa2tr+OKLL7Bjxw5XSdOrILWx9v1fIvfXf1Jn1BN7z2Hbf/6/1hl1wPU8ed+4b4Tap16jDIFc/UYQsiHXEQbRSMTVdKlUvFi6Y9ve8UZHR/HpZ5/Bsix89fXX0DSt9Q5bHF+kcfZisdjROb5N2NIeOyEEuqoiycIwpglBEDYOqhYPWdd1zH7zDRKJBKZnZjA8NITV1VXkFhZw8+ZNJBIJjGazGMtmkUqlug5bsBLoZudCHAe6pkFRlL7F/YQWHvvz58+xfbOSpk1AWpSoexRH+jd7hg5ltXirp2bbbviQgCPr3zUzR0Gf+7no8P/bn4hFE8ZRG8OXW1jA1WvXcPz48bqCHKuUx9KXfwp96bH3Ga/Ekf74nyE2fTJ4ZxwHWZah6zoI1Wn3o1arNaf8doMQGjK9qHAODg5iaWkJpVIJAwGMFUkUcfKDD3D77l18+eWX+Pijj5oqpgYqVPoK3QRBwEqhgB07dgR2pXrbsaUNu2VZ4Kg4lGXbcGx749KqBbOhUqngm2++wfapKczMzGAhn4coipiensb09DQcx0GhUEAun8f3338PTdMwPjaGbDaL0Wy25zi4H7qug6C7KtNm4AUBVkAc0SEEz1+86KlZdRg0Gkg/N7wZGjnQ3cS5+wX/sYPyBf6/GTi4Spn+9oSs8cmjhw/xw717OHXq1Hq3IQCVB1+hcPH/BjHXn1Vk/CAyZ/8IQixY8ItBliRoug7LsjYQBmqq2vdQQzuv3elBFVKRZUSjUZRrNcTj8WAHh+Nw4MABRCIRfPX11/jwww8x3GzV2eRcOY6DJIooU5rlj4b9LQRHPSnWiFpspuLYgNWVFcxeuIBDBw9ienra295PD+R5HplMBplMBocPHYJarWIhl8P8/DyuXb+OgYEBjGWzGBsbw2Aq1dZTadqujhComuY2Lu4jn7yZd7W0vIxIJNKVbGoQ6qotG++1z9vulhEDvBk5gbCVsXXwTQIEAOE4OLaNW7duIbewgNNnz3oyF8SoYembf43a08vwfH9ewND7/xUGD/9uKAPpSQwEdAeqVatd9wBoijaxduI4XRtKgvV+pe1kfWdmZhCNRjE7O4sP3n8fYwFyBK105QWeR61W6+o83wZsfcMOAIS4XHYac6x7lAEvRy6Xw3dXruD999/3lsOiKG4w7B7o4IjG49i5axd27toFy7Jcbz6Xw+UrV2BaFrI0ZDOazUIOMtBNPAjDNN2kbx/joYCPGUNIXQiplzAMq8AMMnaNnzXGprtlxABvyLB3mVPxGz7LsnD50iWYhoGz58977C114Q6Wv/xz2LVVABwIAaTUGEbP/Q9Q0tPePW57DjQcs0HxEW5HrNFNoLLyAIIyN8Rx4BACqYtnReC+e7KiQJZl1FS1reMxNjaGUx99hIsXL+KgpmFmZmbDPpuBFwRotVrbOo+3FVvasBPHAU8ILMsCcRxIkUhbre+ntAHvRx9/jGHfcpjnOIDnQzfEEAUB2dFRZEdHAbic8Fw+j2fPnuHq1atIpVJubH5sDIMDA17xRNCLqqsqeI7re+cijnHZbRs8nWgs28bLly9x8LPPWm7biQEPg27Tzv0oEuoZHR6bTWiapuHb2Vkk4nGc/MlPIPA8iGNh9fu/RGnur+q2SR74FCM/+UfgRHk9dMWS/vQ5ep81QKLhGKb4yLBprA9uY0NpAJ70QyeTsF+qgY2reCyG1bU1r8dr3e8brn9oaAhnTp/G7OwsVE3Dgf37vf2wsF6deib9TuB5wHFQLpdD9x1+m7ClDTurJGRhFEmW6webP+FFCO7evYtnz5/j7JkzSAR4A5IgBM7ggUapYQJJxOPYvXMndu/cCcu2sby0hFw+j4sXLoA4DrJjYxjNZpFOp+uoWpZtw7AsRHuQD2gGgeeBhuVoLpdDKpUKVHJ0GgxyMJpHAAAgAElEQVT526BZ7XnsbzjG3hE4DqViEbOzs5icnMSB/fsBjoNZXMDSF38Ko/DU+ykfSSL9yT9HbHsT2ikdZxvGIBt/HFen+Fhn2PtRnNTknIJkBhgDq5NOV6ygyY9oNIpiqYSqqm407AH7iCcSOHPmDGYvXoRaq+H48ePrkwvPA+yd9j1HFi4qFYsYG2vRKvAtxZY27KCDwjIMV7McbuLKg8+oX7t2DaurqzgXUN3HwPM8rEZFxJZcufWXy/87URAwNjaGsbExkKNHUalUkFtYwJNHj3Dl8mUMDQ97sXl2jv1MxPqvh2O0MUkCAfBqYQHjExPhNVv6hG7DGo7jdEWf6wu6yAkAwPLSEi5cvIjDhw5hamoKhBCU7/0ahUt/Adjr1MTItiPInPkXEKJdaLn4vVDAC8cwpo5pmm5YZJP61waxvNgkHKYhCkFzQS+e5xGPxVCuVJpy9BuhRCI488knuHz5Mi5evIgPP/xwffw3OV+O41Auldru+23E1jbstg3btkEIacn9vn//PlZXV3HmzJmWg0QURU+SgKGtOWIDpVkGHkAykUByzx7s2bMHmmFgaXERuVwODx48gOM4SI+OYvvUFDLpdF+Tp4yNYTkOHLjGdWFhAXv37u3bMdoenyKQGhgC3Var9gN+6d2weP7sGebm5nDygw8wms1Cr6yh8O2/gvr82vqPBAFDH/xDDB78nb6FmERRBCEElmlCFEXUVNWlOm7WvWNeu2/MW7bd9lkxZlS7tnsx2vi6Wqth0NeusRUEUcSHH36IS5cu4caNGzh+/DiAda32xjHI8zyqlUqofb9t2NKGnaPxdVEU1z0TZmDp7JzP5/Hw0SOcP3eu7czPC0J9jN23n3An1L6AQ5IkjE9MYHxiAqqqYnFxEdVqFffv38fly5cxMjLievvZLOLdNvtlcUXaAJpd09raGiRJCgxDbSa6NeoAbWL9hvQ8OimNJ4Tgh3v38PTpU5w+fRqJRALV+ZvI/ebPQLT1QhgxtQ2j5/57yMP9rSEQBQE8x8GktMdSsehywel46KjIKiR4jqtbITttGDEEwaGXIEiSVJdEDTsGOJ7HBydP4osvvsDjJ0+wc2am6bVzHPfOyvduacNObBuWaSIaiWyoFgTHoVIu48qVKzh16lSoJBIblMSvTdJFfDVUhSoh0HUdg4OD2L59Ow4cOADDMLCYzyO/uIh79+65zQhoSCc9MtI0drmBJ+67B4KPy57P5V5/PDHs/WgC4jh9XcV0dOywv7NtXL12DaVyGefOn4ci8li+9BdYm/v/6jza5MHfwfAH/wCcuAnhEY6DJMveirNYLK43JvfH6DmfHHIfjsmMJqGFZEFhmLBeeiPi8Th0XYemaYjRHFSYkJ5IPfevv/oKA8kk0ul04MqP5ziv/eS71uB6yxp2x7a9qsQgg2eZJi5cuIDDhw6FLpsX6X5My4LcmIjtBC2MGRucJlNx9GXkZVnG5NQUJmlcdm1tDblcDndu30a5UkE6ncYYLZCKxWIem6AV2GTlOA4WFhZw8ODBbq+qa/TSGKNTQal+IkwYyDQMXLx0CZIo4vTp0yClHF59+X9CX37mGT0+OoDM6X+B6OTRTT1fSRSh6zps20axXA6mtDYkYv0tC7sJ2/A8D9tx1hkxvneRHaebvqmAW6wnCAKqquomgTsYR4lEAu+fOIFLly/j/PnziEYi6ywjjnNtB1zjXioWkaHstncFW9awgxp2QRBAfOETAjdEc+XKFaQzGUxPT4fepSAI4Hi+P9xWX+K27mP6t6ZpLsWxSW6A4zgMDQ1haGgIBw4cgK5pyC8uYiGXw9zcHKLRKLLZLLLZLEZGRpouVdlkVavVUCyVMDIy0vu1dYCmRVkh4H/53gjaGLtatYrZ2VmMZjI4cuQIyvc+x8qV/wfEdhPwBEB08hjSp/9bCNFwceJeIIoiOOqFltbWMNCmOTlQP+n24sk7NNfFxiHBulZPt2BJ1GK5DINROTvY3+jYGHbv3ImLFy/i7JkzXs4JcPMBPMd5cfYfDfvbAtuGTeOJDiGwCYFAPeXbd+7ANE385Kc/7WiXvCCAh/vQ+9Z+LcDA27YNwzQRiUbbJ5vodpIsY3JyEpOTkyCOg9W1NeRzOdyam0OlVkM2k/EolX51S+ax5/N5ZDKZjqhofUOX9/JNygmw4zdjeKyuruLChQvYu3cvZralkf/8f4f64ob3PSfJGHn/HyCx9/xr4+DztNlMrVaDbhgd87PrjLyverYlOM6NtVP2Eqt27tf7E4/HUS6XUa3VuhLH27N3L9ZKJVz9/nscf/99r8m7ZVmuUwig+g423diyhp04DizHcUMmlA3AyzIWXr3Ci+fPce78+VC0Kz8EVtBjWZ0lTcOATjocx0HXNBBCEGkxUL24eYD2BsfzGB4exvDwMA4cPAhN05DP55HP53Fzbg6JWMytgh0fx1AqBZ7n3Qa+b4Cvyzz2rhgxzLC/weRp0BhYePUKV69exYkTJ5Cy83j5H/4lbHXdOMjD2zF67ucgiWxPHms3kCQJS4UCEvF4TxNiY3FUy6vgOHeVS0Mc/YQgCIhGo6ipKpxksvOxwHE4cfw4vvrqKzx68AB79u71VuSiKMK0rHdSWmDLGnZGdZRlGaZpwrQsqKqK769exelPPulKTIsXBFd3hg7SvoN6CxotJGkcpOzlIf4lbIjziEQi2LFjB3bs2AHHcbCysoJcPo9r165BVVWkhoaQz+cDmyNvNnpR+2PJtjcZimk88sOHD3H//n189NOfwHn418jd+VXd96kjv4fUiT8AJ0qwLau+ruI1QBRFVyMmJEWwJRqKowK9eHp9JvWANwOxeBw1TUNNVbuqEmU0yN/85jcYSKUwODjorsaoYVdrtdB8+bcF786ZdgDHcdyYno9eZRgGrl67hsOHDyPVZfNennNV38wGLns/YVHtbNbPtE4atgdlPAae55FOp5FOp13hMlXFvXv3QAB8/dVXSCaTbgJ2bAypVGrTwxzNdEXawXEcWLSJhOVLlDN4jY3p3/7JkABwdIIEXFonb3KoVirrpea+WKu//Jx9zkrRTcuCIIpeheXczZvILy3ho/d2o/rVv4Sx9tI7HyGWQub0HyE6eXj9HLu47l7BQjGJTSiT94fG2L8dQlxpD47z8jn9RkRRIAlC14YdcLs0nTx5EpevXMHp06fd+Dp99g7cfMnA4GAfz3pzsSUNO/PWAXepxnMc5l++hG1Z2LFjR0+7VhQFxU2sRtOZ/AFNdDGjQYBNWSVEo1HwPI+pyUkcfe89rK6uIr+4iO+++w6GYawLl42O9tQ8uxn8C3NCKW+sMTETjWJG2/8Z4Pav1XUdPM+35DEzQ+zdPY7bYFWZAaqbCFqAEAJVVeHYNnRNw507d2DZNvanDOR/83+As0yAj4ADQXzyPWRO/SHE2ECd5skbyQ1wHGrVKoa6dG7agj5D1q6QA2Cx8MsmXm88HsdasQi9QTahE2RGRzGYSuH5ixfYuXNnXf6rUi7/aNjfOBzHK7oRBAGE5/Ho4UMcOHCg52W7JElw4K4A+tHJyA9CCHRNg0jL++FsbKFG1n/ctxdlcXER0zMzIABGqfrkkSNHUKlUsJjP4/mLF7h67RoGBwddQz82hsHBwe7EvqiEAWtTaJkmDMPwjHoQmGQAz/MQRBEcz0Pw/RkcGAjUsGklNcBHOFTgVhU6EkGyiXytXyDKL77lOA5s2wYH4MaNG4hFZWyrXEP16X0QjgfhJEBUMHj4dxHd8QGqFgDqEHhJRF9CURAET7tnU0GIJ2xl23b/wiP0/tSFZej/LcsCgeusbBZi8birH1Ot9iS/sX//fly8eBEz09PgfPembUemtwxb07BjvcqN4zjMv3gBSZKQ6sOMq0QiEDgOuq733bBbNOYapRLBQfAMvJ9N04MxUDXNLctOpTyuMUMikUAikcDOXbtgWxaWlpeRz+Vw6dIlOLbt0inHxjA6OrpBc6TRgLN/ByXPONq6kHnezNj5/w6CZduQCNnU2Kd3bL/HD4Czbei6jrmbNzGRkjH46N/B0StgaxplZBqZcz+HkMx6qwGHrUgcx1t96A3aQwK9B4IgbIrBZwZKiUT6FvdulxC1Lct9voJQnx/qIwSeRzQScZOoPVQjx6NRDKVSePr0Kfbs2QPAHcvvmnzv1jTshMC2LPCCAMdxcPvOHRw5cgQOITBMs2v5WwLXY+d4HpquN/XyutkvcRy3pykhkBSlzkMMQp0H34NxX8znkc1mIfA87EaBMx8EUfSqXN8jBNVKBblcDk+ePMF3332HVCqFdDqNkZERRCKRDd43o9rxsgyB/Zs+H5uGQDoG6U6Eqx9YWlrC1atXsSNSRPLO36yHlDggdeTvIXXivwAnuK9XkIlhE59t27B9/2b5IS2Mwe/CKJdoSEEUBJim2V1HrpDhKmDdKIqiWCfCF6T+2BMIcdkxlMoZ2LC+DWzaLH7v3r2YnZ3FjK/GpW/05teELWnYCX1JJFnGs6dPEU8kMDExgVKpBLVWg9SwdA+/Y7dRgSJJ0ANaynW+O1LHKtB13Z04WNFOiMHUKKTVKRZevcLY+Lj7orcw7P5ztm0boiRhbHwc6UwGpmVhdWUFhUIBT54+BcdxLm/eF5tvdr8Z1bGropc3ZNifP32Km3M3sc34AfGl297nQnwYo2f/GJHx9uwiL0zEcRA4DgLP1696aO1FK4PP0YSkKIoQBMFNTra5H0wjRpIkmKpaL4/RCsyY03+Hhc2kBGjOiCVWCQ1Dubvr3Wg6hEBRFHA8D13XuzLszLEaTqUwPj6O+w8eYMf0tBd6e5ewJQ275XsId+/exYenTgFwFeFKpRI0Teu8wYBv8CmRCKqrq+Ffig27InV/Ay4dzCEEURre6aYi0/9Kh9nWcRzkFxdx9Ngx2LYN3TTrknvsHG3bhmlZLgPFsrzz5jlX6zsaiWA4lfKWrqVSCflcDk+fPcO169cxPDzseft+gTGvCXWH1+lt/5oFwAghuHvnDp49vo/plS/AY32lkZj5KUY++m/AR0IKqAUwSOrQxuDblgXbtmFZFlQaXuHgrqyYsQ8y9MVyGalUCqIkgVNVtxdqm3qJXgyvTePrjBHD8bxXCe6xaIC2DXDCgOPWm3d3CtM0Ydu2NzkcOHAAv/71rzE+Po6Iovxo2N8GMMrg82fPMDQy4jUGFkURsixD0zTIitJRgZJ/yMmyDHAcdMNoqt3edB9NXhTDMABC+tYlKYyRL9BCFUVRYBiG1/qPVd6Z1Hj4+4pKkgRJFD0vMQiDg4MYHBzE3n37YJomFhcXkc/lcP/+fbezFI3NZ9JpN3YdUrypEd30SO0WxLbx3eULWM09w+61XwOEwBTi4CUZmVP/BPHdn3R2Lj4aZUdXzgy+zxiz52VZFmzLcr16atz8Rl4QRRTX1rBjasoN7dBVWp1h9zkd/Qg+mKbpleYDwYVo7L3wJ1y7RURRoNLm3WFzL4QQaJoGjuchSxIIxyEaiWBqchJPnz1zw7g/xtjfPCzaROD+gwc4c+ZM3XfRaBSGYUDTNMS77B4TURQIcEMnYQx7kIfeCEPXXS/KN9l0a/Aa0czI5/N5jI2Pw3EcmKaJSrUK3TA8D1EQBMiyvG4YuojpSpKEbdu2Ydu2bSCEoFgsIpfL4d69e7i4tob0yAhGs1lkMpmuStxfR9WpaRj49otfwFl7gd2Vi+CIDZNXIA1NYtuZP4Sc6rxit66lXx88VUmSvOdGqEdvUY9eYx6s46BULkOORNxWkaIIjTKSOKzTTfs1WbLVnn/FwaH5ZMZWB3yDjns7+N8TRVHAwSUFhG3GbhgGHEIQo+8y67y2b/9+/OrXv8buXbt+9NjfBjiOg+LaGlIDA67mtA+8IECJRKBpGhRF6apoQhRFCKIIXdOANkwbf6FMMzA2TLzRW+/DS98I9spato35+Xns278fq2trXgJWEEUk4nE32dVno8lxHFKpFFKpFPbv3+9KHeRyWMjlcOvWLUQiEc+bHxkZabmiYvd1sz328loB3375ayRqjzFRm/M48YOHfhfy7vOQBsMpg75OcBwHUZIgsvFECCzbxsrqKpRIBJZpomSacBwHmqZBEkVPlraf99Nfml93fi0Sp14Mnuazwox+/yQgSRIkQYCu66EMu+M40HXdS+j73zdZkpBJp7G4uIipLpu7vylsOcPOdGHWVleRzmQ2fM/BndV1XYdaq3XNbFEiEagtNCTCeOkMLLbdSJ/sd/MDy7ZhGgZ004Su66jSarqIokCihsCiSefNoKQ1wpMhnpyEZdtucVQ+78oQl8vIZDKeDHFjTuR1yAnkH93Eleu3MareQ0Z/BAAQkyPInPk5yOB26LrevSH0xdg3HTQXUioWMTI0hEQi4emMW5aFUrmMiGFApF5/vypELdsGATas9MJcs6chFII90/iOyYqCWq0Wivao6zoIIRvYQRzPwzZNDA0NobC8/KPH/qbBZvvCygqON5Hk5Xneo0aFoT8GmThFklCmjIXGgduJUQfcMIxEC2/q0IeX3rIsGLQIiPHURVGESQftkG/FIUkSTNOsi7P6E1v9NkKNaoGecNmBA9B1HblcDvnFRdy6dcuTIR4bH8fw0NCmGkbi2Hg4+x9xN69he/UqBs0FAEBi10dIf/RPwckx1Gq13kS0+nWyrY7hf44ch5VCASPpNHiehyzLkGXZLRKzbfA8D0PXYei6mxRnRr6HGgHTsgKrgtmqJ4zzwIx6s7Bk0OfRSAQ1GlZsxY6xbBumaXoUZv/5sNDUUCqFH+7dq++c9g5gSxp20zBQrdValk3Lsgxd01CrViEMDLROpAYMKCUSAU/57P5YfacsAlbAE2vC0umG72vZNnTDgEmNOQfXmEciEUiSBIHn8erlyw3a63697sa4KOMt99PQe8nPgP0oilIvXLa6itzCAm7cuIFarYZMOo2BwUHs2L69r4ViZmkRc7/5S7w0B7GrcgExew28HMXIqX+KxO6P6869l9UCo/v1c1ryj72gStzlQgF79+2r20aWJBBCEI/HQRwHpmXBpI6AYRjrRl6WO/LkCSFwWjBueI7rqGMS877D6CUxZovWgvboOA7UWg2EECiyHFhr4NBVtKIoWCkUQp/r24AtadhXVlcxPDTUdBnGPIZEIoFyuYxyqYRkM+PeZPDJdDDo1LB36qUzsHL6Xsqg2XENy4KuaTAty9ObiUQi7rk2vAyFlRVs37697jP24jYadqDBUADrnGa4ySbS5LetzrfR+DS7dzzPIz0ygvTICA4DUFUVL1+9wsKrV3j44AGSyaQXm2cyxN2g/PBb3Pj+Msr8EPZWvoTs1BAZ3Yv0uT+GlKwP63XbUYhtG/baAzb2VECBBkYJmt/7GlUobOyTK9BqUEbdZZ48cRyXGeU38oIARZa9WotWsJrE171rDne1679n18y178/KaI9GE9ojIQQ1VYXtOIg363nAres0jYyMYHFxscMzfrPYkoZ9tVBAukUnIDYoeEFAIplEqVRCtVJBMpnc8JCbDSDGL2Yxum7ZK4auQ6KdmQLR5gVyiKsvo1PvXOB5xCIRd0XRrCiIECwvL+PYsWN1n7OKRtOy0I7lX3effJ5nndcIeOJl/fRMo9EopiYnMTIygkQigTUam7929So0TfPi8qOjo6F6VQq2idxv/gy3Fx04XBR7yl9C4GwMnfgvMfje36vTDGHohWrZWKPQlCVCv2MUWS9Z3BAyCDPBFFZWMDQ8vOE5CILgCnXZNiQ/I4vnIckyJNrPwDQM6IYBVVVdurAsQ5akpo1ZGvnrjeBCGOhmcHzMmWbvXURRoOn6hlArIQRqrQbbthGLRNbDqI33lTKEeJ7H6Ogo5l++bDzEW40tadgLKyvYs3s3+2DDwPd7SIIgIBGPo1qtolqpIJ5IhH5hFUXBWrkMm8qSdgrbtmG1CMMA7ovrYKOHw2hshmF4AkvRWAwyDae0QqVSgSxJgctUSZKg0kYf3Riuxm38Br/umnyqla0ocM3A9icKAjKZDDKZDA4fPoxqtYp8Po/5+Xlcu3YNA4ODGGsjXHbkzve4rpxA1ClhqnYN8kAGmbN/DGV0d6sT6J5q6fe2fdfSGBP3/6bXyXF5eTnQ2WHtHq0GWqIfHMdBVhTIiuLmbHQdOv0jiSJkRdngmZum6TamaTGGWD/UTuF/f5sZdjah67peZ9g1TYNl21Aa8wdBMX/6HDKZDK5fv96TBs3rxpYz7JVKBYZhYJDF10MYJ0mWESME1VoNnKqG4rcTuHF20ErWVsa5GTw2TJvkLYstEuJq3WiUzcDBZQBEOqRtMu8tCJIoQgM8fY9+YYPB98VYHUJAfEvfhh96Rt+/B7Zt437j8Th27tyJnTt3wrZtLC8vI5fL4fKVK7BM0wvZ7Brc5W3zPPIhRoynGNV+QHLvGaR/+o/Bya2fp0Noq8Ug+Ax3naYP/c7ji/uu0X/tm5EQLhQKOPreexs+Z7IEYeQkADe0IooiHNq+0TAMmNWqG6ahsXgQtwS/be6j1+v0b99glD3ao4/Prus6TNP0ChXrEDBBOHBzAYosIxqN4tWrV5icnOztnF8Ttpxhf/78OYZTqbYedKNHKisKbMrrFXi+ZeERSyRGo1EIPI9qtdqVYTcNAyKtAGwFx3Ggqip0XXcNCs8jHo1CVpSuVgrLhQJGmhh2Zsw3u2NMY0yeIyS44YYvfu8vnnFoUrix0IeFJlihC5MhBiGoVKuu1MGTJygUCviv4/8QRb2EIe0xxjGP9Pn/EfGZn9DDrldCAr6EsXdaDR6j35j7nskGc8Fi4Q2MoM2EaZooUymBIAiiGCgn0Qq8ICAiCFAUBaZpumEaTfMqOG3HaTt+er5qQrw/QRIckUgE5WrVk1jWdB0iz4cWPiOOA45eQzqdxqNHj3407G8KlUoFkWi0pTfAIfhlikajcBwHNVUFLwhNl6aet8jziMVi7uDpkCVB4NLBWvY1dRzvZbEdB7IoQolEepYdKCwvY7pJwxGeTjRWSA+ua3STk+C4urgzx/N1/wdo4w7/vn3/9nvzT548wa3bt0EAFIdOYJV7H2OrIsaUV8hkMpBEccOk4Q+dNLJiOunduuHKu8zPhMXKygpSg4NNwwgijbPbjtMxh50lKmVZ9sI0lWoVumm6bJN2TVC6rK6u28Z37/17UhQFlUoF1VrN6+LU1GFrOAe2omLPOBaNolKpdHyebwpbzrAztPM8mg2oWCwG4jioViqIxeP1iRfQ2LBv37FYDOVKBZqueyXJYcAkcsUAI00Iga7rqKkqQClXsqJA7EN8zzBN1Go1DLaomJUEAfomtv8DNho3LznY6reMEQLUUeU6NQt37tzB/Pw8zp87h//0V3+F/+x3fw/lchn5xUU8evQI3125guHhYWRpEjaZSHjPnABeWIyt3DacA12BsM83MIroasP/+83E8vLyBmqrH6Ioguc42JbVU3ES0w8yqWS2YVkwKxUoiuL28A24Tr8oWCcIen8bx4GiKCCOg1KphGQigVgTBgzH83VNbQD6jNl37gE3rWfrZmDLGXYWu+32VeE4DvF4HOVyGdVyGUgmXa4vqDFpGBheOKZS6ciwm1QlsfFFMqhBd+hSNhaLQaTeYz/0q1dWVpBqQwkUqYZIXzvsULDlvqeM2cBsaGmk/SGOLpK7jm3j+6tXUa1UcPbsWTdHQvebHBhAcmAAu3fvhmVZWFpcRC6fx4MHDyDwPLJUnTKdTnv7a7pCa6B/Nl4fCyF5PVQDYvL9xMrKCmZ27mz6PWtoYlsW0GP7QyYjkEwmIQgCNE1zk/y67q026ya6Pq9WPP0gQjy5Y5MSFJqOl6D4Ov2scVX2rmDLGXYg/Evf7HcczyOZTKJSqbihHcoFD2JBcLSKtdJCXiAIlmV5CnuAGwetURqWwPNIJBJ1CR5vwupxcK0UChhu4b0BtFCJnWOXhp34JtdG9ofHiGmYqDphxnRaIGQaBi5evAhZlnH69GkILeK/oihifGIC4xMTACEolUrI5XL44YcfcPnSJQwPD2NwaAjbJydbSt42O29GAWUcdKD+Hm2g3Pbw3B3HQWFlBSdPnmz5O1EU+7JKM6myKuvZG4/FYNk2NE2DqmkwqHBeszBnGLDxE/juUqfBsizUajUINNHbCiTAEWSrKu8Ymxwu6ze2pGEPg2Zx9vUfuAVMNVVFrVqFZZqIxeOBxj0Wi6FSraKmaaG9dpadty0LNVWFaZrgeB7xWKxpY4pOVe+CsLyygp0zMy1/w4y5ZVmheOAA6gtniK8pQycIopw1PVx4Y1epVHDhwgWMjY3hyOHDnYU+OA4Dg4MYYDLEhoFXCwt4tbCAb77+GnIkguzoKMaocFm7RHjb0viAJGBdboEirHdfLBYRi0bbGlJBFEF0HY5tt72GZmCsLbGBcitSSrFpmtA0DVVVhUglr0XavrKTcS3wfNOqVUJcCV6dnkcymcRaqQTLcSAHOWZNxpznsdNtGkNqbzu2nGH3klghHkKYAaVEIuA4DqqqolwuI5FIbBj40WgUAseFDsewBgmO47g67ByHaDSKCD1WU/A80INmhUPc4q2RDz5o+TuOc0WjmiVQ6+4ZIes8+9fo1YSV7F1ZWcGlixexb/9+t/N8j5BkGeOUEz9Ai9ty+Tzu3LmDEhMuy2Zd4bIuZaGboe7uNoQFmxn6QqHQlNrqBytUsnsw7JZtA4Q0nUSY9oxhmtA1DZVq1VWWpP0NwqJZUw5CKcsmTdxGIhEYpulel2UBQau0Zvtq4Kz3smp6E9hyhh1A3wwMi9Uzed9ypYJSuezK2voGLy8IiMZiocMxVVVFuVJBPB5HPBZz439h25P1MMBK5TIkRQmlrSJLEqp08vE0Tbh1SVU/+jXcQ3tuTTjsjXg5P4/r16/jxAcfYHysc830poenf3M8j9TQEFJDQ9i/fz8MXUc+n0d+cRG3b99GJBLB2Pg4xrJZDA8Pu1aiXQYAACAASURBVInCJtfXMTukwbPnGg09HSdLy8sYC3HtAs+vFyqFP4s6WLRYrhXNkaO8cFmSoBuGxy1nzJp2YOOxEbZto1atwnYcRKNRj/TAVgSWaQJBTleTe+6FPZnh/9Gwv0UISHZu/ElwTLMx/iuIIgYGBlCtVFAplxGNxdaTbwgXjnEIQa1aRblUAs/zGB4a6ogrznG003uXSdSV5eWm/PVGsPNi6nf+eHCvaGrAOgjDAC0mFELw4OFDPHz4EB9/8klT/na3YMyoxnEjKwqmtm/H1PbtIIRgbXUVC7kcbs7NoVqtYjSTcXn1mYxLyfWhZ0G1oO0JQWF5GYcPHWq7PUdZH60amrc8PiFuN6YQlc/seBFFgSxJUFUVqqbBNE1Eo9GWif2gcKRpmlBrNThwKa3+vBDP8+A5rqk6Y2B8nSZeZVmuE8D7kRXzFiDogTWiaZydBLfn4nkeyYEBVKvVdb2JWMwLpQgch1q1GmjYTctCpVJxC4wEAUO0mUXH6MEAFFZWMNzGsPsHMYd1w/460Cze2Yg6fnnjd46DGzduoFAo4NzZs30Ph7Djt1tfcRyHoeFhDA0P4+DBg9B1HflcDq8WFnDzxg3E43GPTtnumXQFjsPq2prLrIrH61Zcze6xRMMk3awKLdqzt1VdRhB4nkec5q40TUOlUkE0RE4AWKcFa1RqOBGPBybUBVGEGWDYm403T8DMZ8h/jLG/YSQSCTx98SK0OFLjEjiMoFc8HocmCFBVFTZVzOMFARGq8Q4f64QAqFHhJIHnkYzHUSqXA/nrYcD5Y9odYnl5Gbt2b9Q/aXbNoiiGLjXvBL0mgNn2jS+xZVm4cvkybMfBmbNnN21CChvf90NRFGzfsQOTU1NwHAerKytYyOVw7fp1aKqK7Ogo0tSjD52wboPcwgKyNAxTt+Li6kXbGARBAI/u5CRMw/DkCbpBhOrN1Go11FQVkmUh2pBz8p8rKyS06CqhVX5KFEXoVD+/sbApyLCzVYsgCB6DSdO0rpvyvAlsOcM+NTWFC19+6aq6dUFFcxqLR5ogQpXhqtUqSqUSlEgE0VgM1VoNmqYhEonAtm1UqlVYto2ILCMai8GiqndSt+X6HOe2DOvQOFqW5XaMoroZYSYwSZJg0O7t/VyG9srX9mLcvhdZ0zTMzs4ilUrh2LFjmyrW1ItkL+B6qSPpNEbSaRw+fBg1VcViLof5V69w/cYNJBMJjFHefCqV6vpY+Xwe+/bvD74G9g+fkWdslk4NuxeGCSHn2wyMSx+Px12BMcOAbVmIxWLe2ON5HrZtuz2LfZ2P2r3nEqXvmqbpVhSvn3jg7y063plHT4grBd6P5PvrwpYz7JFIBLFkEouLi6F1HRpV9cLGkyVJwuDgoCtlqqpeVWGlWgU4zhUVo7RJhXqPlmUBhPSkw9JNGXa5XPa0uMO2+ZIlCTVQpb5+xhdbGMYwDRgaQzHFYhEXZmcxMzODffv2bXolJ9Oh6WLDwI9j0SimZ2YwOTUF27ZRKBSQz+fx3XffwTAMjGazGB8bQyaTgRzSm9d1HWu0WXjb06J/czSB2kkDDMBtHg+gtxUSfWYc55b9i6KImqqiUq16lau2bbu68rTWIxqLhXoOou/dE0QRPNZDjo0jxXEcOI7jrZoIx6FYKiGeTGJoaKj763vN2HKGXRAEpLNZLORyoQw7i7N3m5DkOA6xWAyKLLt9FgnB/MICto2NQYlEEI/F6hp4mKYJsY2caYiDdqZLQgiKxSLiHS4lPX1202wpitYJ+hGr9CdPF/N5XLlyBe8dPfraGg4TxwnUaG+LdjkEzm0mzoTLjgCoVirI5XJ49vw5rl69isHBQbcKNpt1ZSGa3MvFxUWkM5mOqYuCIMC2be8ZhaniZkVJPTkrDf8XaVN1TdOgqioq5TJ4OvFEOyxwYl66aVnwRrGv4tcPOyC+vpTPb+g89bZjSxr2yclJ3L56FSfb8LUZvGrA9Q86P64oIpZIQC4WYa2soFKtupx3PxcW7uDqtVsSgJbhGGb0/Z5XuVzGQIiu7Y2QKGvBkwDoFW3ubZgEKpuEnz9/jrt37+KnH35YV+q/2XCwOYm0oNVKPJHArt27sWv3btiW5ckQX7x0CY5tu31gx8YwOjpal7fJ5/MYy2Y7PgeB52GaZl24i42lQB0f2k6v0wrcIDSuRHmehyiKUDUNuq5DFEUMDQ11vHoUBAECpXICrQvnLDqpsfeWA7CytoZTZ850ejlvFFvSsI+MjKBYLqNarSIej7ffqEd+OOAq41UrFSQTCVjptLds1DUN8UQCEq0yBXrzbDwEFCv5y9IbB2+pVMJEF5KjsiS5zQn69PL2A4QQPHr0CMtLSzhz9iwSXUxYvRy7W05z2/BZm0lNEEWXSTM2hqOEoFKpIJ/P4/GTJ/j+++8xNDTkdY7KLSxgf5P4eivwDa3ygPqcRmOYkiXX+5Go5jkONt23bdtQfcnR+MgIVE1DtVZzV8EdGnexQbG02dNjMhrs+Vq2jbViEdPT091c0hvDljPsgGs4hzIZ5PP5tgkPB25skadqbt1467bjoFIuAwAGaHu9ldVVt+OMabrJVVl2l++EdJ849cGvq8LOu5WWTKlcxr4usvosodYvr6zd3W33vWPbuHb9Omq1Gs6dO1dXS/A6wFYLvTSy7gs4DolkEolk0vPmFxcXkc/n8c0338A0Tdy/fx9j2Swyo6OhDSFPw4S249Spidbpnfu8eIPqy/SiCumH4zhe8hSAp9PEKLiVahXVWg2xaLQjB0kQRRiatn4t7F1pYNo0CvMVCgWMj4/3LRT5urAlDbsgCJjYtg2vcrm2hp11i/e8pZBcagbbstxkKVyqpSAISA4MoFgqQa3VkEmnvQKMmqp6L07PoOfoX7o3269DE7rderYSrRLsCyO8XSimxXeGruPixYsQJQnHjx9/7UYdCGbkhN62QfK5nxB8wmUyzffEYzE8ePgQl69cQXpkxIvNNza0rtuPIAAc1zbBzpwJu0VLvU5A6CRRrdXgOA4kSYKiKHWhTJ7n3TaWtRpqtVpovjtAV8mOA8txIFHD3WjcmUfvF4hbXFzEgRAFXm8btq5hn5jAl7dv4+MWXqw/VsoSqIEVfE1g0aIjnucRTyS8JClTZ1wrFjFkWW4vUkWBSsW+VtfWEIlEEFGUrnQ5Ol1ZVKtVT164G0hU+a8ftMduGeyVSgUXZmcxPj6O6ZmZtop9mwVvIu30XoagSPbL5OfzeRw6dAjpTAZ79u6FaRhYWlryFCpFQXClDsbGkG4QLmMxdTvE/WVetaIoHTtEDI7juC32aHcwQsiG6tHGuHs8HketWnVzP0CoxjOyJAE876mqBt1rFl/3vyera2vYHVD78bZjyxr2aDQKJRrF/Px8U7aE561TcLS3aBiYpolqtep6EQ1JUsANyVRKJZTKZQwPD0MQBI/7zvG868WrKiKK4n4eclnprxxkLeXavU7lUqmn4grGT+477bEJGpNoK4UCLl68iAMHDmBm505UKpX+JHK7QbehmDCGrw/evK5pKJfLdY01JFnGxLZtmNi2DYQypPK5HO7dvYu1YhGZdBpjNHbPeONtPXZCYOi6W9RE9c87geM4rlaMYYA4DgSe9zSTSMMqtDE3wXMcYvE41FoNqqoCaG/c2bi1bbteJdOXFG7k7y+vrMB2HGzbtq2ja3sbsGUNOyEEH374IW5dvYqJbds2eKvN4tFhaISGaaJWrUIQBCQSicD9SJKESCyGSqWCoVTKk7GVqeoc68Goaho0w4Asy4hS/u7GkyJe557GY4WZjMrlck+Gned5CDwPox+0xxAGwJ8/mJ+fx43r1/H+Bx/UiVm9qQh3UAOGtwn5fB6Z0dGmEx/HcUilUkilUti3fz9Mw0A+n0cun8fdu3chKwqGR0YwODCAWCTSlNZpUumBwCpZdm+C6IQ0hm6YJggNucjRqBfXdoC6jkrNJhie0oyZg0R83PMgSJK0rvIYcL42bXzDJgAC4NbcHD7+5JNNLXbbLGxZww4AE9u348WDB3j86BH27NlT95sgFgwXoqrTpEZdFEVX46LFCz4wMAC1VkOpUkGcapawcxMEAfFYDNFIBJquQ9M0GIYBiUoTyLTbu9+gN9O1aYdSudy2uUY7sLhtr7THMBMnx3GA4+DBgwd4+OgRPvnkEwz6hLzepIQq66LV6T0IU1DGofdry+VyHdEcJVnG5NQUJqemQBwHa2trmJ+fx8NHj3Bzbg6jmYwXm/cLl+m67tERN8C3omTXbdm2Z9A5QiBRNccN4cEOPH+OajSBdmniOK51FWqTehVCCCz6OZtgXi0swDBNHDt2LPT5vE3Y0obdsW0cPnIEX331FXZMT3vLtVbsEb+32AjbcdyuLNRTb4doJAJFUVAulVxPN6BikadLUM/AU913QRC8culWLzrHceCBltWCpVIJO3qka0miCFB2TKdSDXUIEWt2HAfXrl/H6soKzp87t0EJMcw+NgvEcdoKgAVvGM5g9SS14DjI5/M4fPhwV9tzPI+h4WEkEglsm5qCJAgeb/7W3BxisRjGslmkaQVstM3qjRACyzShG4Zr0DkOiiRBVpSmKx421sNWVnMc554HcRtsCILQNFzIcwFNTCgs0/Qab9uEYG5uDseOHt0UEbnXga1t2AnBwOAgxsfH8cO9ezhy5Mh6KXEXhqFG2S+huPEUA8kk8svLHh2yWQKTDdCoorjhGVVFuVqFUKshEo16Hd8Dt0VzT5gQt7XbwMBA6HMOAmt43IthD3PfLcvCpUuXYNk2zpw507TZ95sKhXQjANYJuBbGpx1WVlYQjcU2ToQdgqfKnqIkYWrHDkzt2AHiOFhZWUE+l8Pc3BxqqopMJoNxqlDpD4OwoiXdMLwkdyQSCVWYV8eZ78C4R6JRVCsVVGs1N+fVMD78nb0a4TgOLNv2ruHpkyeIxWIYzWZDSzi8bdiShp1Vjtm2DXAcDh44gF99/jl27tqFWCzW1rgEDSrWjzQej3cUc4vF41CKRRSLRTec0OrYlIseiUTc7i+GAVVVUaXcXebtNDYEBsdBQLDXrqoqREnqC3dekiQYhrFpoRBVVTE7O4vh4WEcOXKkqQF9o6GYLkNRoY11l+wSoPMwTDP4uexsWuWocNnQ0BC2TU7CoWGbhYUF3LhxA4l4HJlsFiPDw4hFoyA0dNjY37RdTshTnez0nGnMvUrZMo3Nq3mOA5ocm0kiyLIM07Jw9949fHTqFOQWztTbji1p2AHXa7csC1wkgkg0ip07d+LOnTv4oJ3MQADTRDcMGIYBpYsmvEwEbK1U8sSSgkB8cUkG1lXGsiwYtNuMTpe0siS537dR1KvQdn79gCzL0A3DrQbsgrvc6mUtFou4cOECZnbuxF6aD2na1xJvThubEIK3st0CIXgxP9+2aXUYMMcoKHFpULmBgYEBpAYHMTk5CZ3SKZeXlnBzbs4VLstkMD4+DqVhovEMa5MJzHuq3ch60PyUqqrQadPswH37z4es92nlOQ5379/H6OgoUsPDvYUc3zC2rGFnyT7QZenePXvwi1/+Equrq+076vgGnW3bUGs1iKLYNqbYDIlkEjznqj1mAr5vV7giiqLbMCEWg8lilpQqxgGe+h1Hl9B+lMtlDPRJR1qWJDcc02XzjWb5ixxVMjx29Gi9cFuLl/tNsmI2NRSD7rj+q6ur4IC+dYsSBAFGgyPCKI48x8FgzBbKPc+k05gYH/c01fOLi3gxP49r165hYHDQ1bTJZtfPr1UxYA+rFlmSYNEwEHtvgHVnoHElblE2DOvk9PjJE5w/d857r95VbFnDrigKqtUqTNuGCDdeeGDfPty8eROnT59u6/HxdClarVY9BcduIfA8YpEIqqoKyzTX48ZsZdCB9ylJktuqjhp5pk2t6To4rHv5bEAXe+SwBx1fNwxEuwmHBLysT548wZ07d3Dqww/ruNdt9/EGPPZudWJ6bSwSBi9evMDk5GTfVjJ8g3yvY9uoVquolMuQIxFXckAQIMnyhjBfLBbDzPQ0ZqanYTsOCsvLyOXzuHzlCmzLwqhPuEySpDouOcsV9XLHopEIHNtGTVWRoMVO7BiNaxCDJk1FUcSNGzewfft2N1wLQH7HZAT82LKGnbFJmEwuCMGOmRk8fvIE9+/fd3W726BGy5uTAQVIncB2HMTiceiGgWK5jJHh4Z5fdkbtkmUZcVqObZimK3OqaRB5HpKioFgqYXxioqdj+aH0EI7xXzEhBLfv3MGrly9xtgMhr7b9TjcRXevEdPKsu/BWieNgfn4eH3/8cWfn1QKCIACOA5Xqn9vUsHO0rJ9pCLXdD89jdHQUo6OjeO/IEU+47OnTp7hKhctGs1lks1kMDAyE7nzWCswRY7oyCUZL5rg6jrxNr0tRFMzPz2NxaQk/+9nPQIA6TfZ3EVvWsPM873qXpomoooCD+0J+eOoUvvjiCyTicWwLUjukS0TDNN3muh1UhTYDcRyXIplMeqGRvig8UnAc54ZjFAWxaNTlC+s6VFXF6toaHMdBtVaDRJemvUxSEg3HGIbRtUaI7Tj4/rvvoKoqzp4715GMcat+p5sN5sF2zGHfjJPxoVAoQJZlJHtkPhHHgWVZHue8WqnApCJcrHI6Hov1pA2TSCSQSCSwa9cuWD4Z4tnZWQBANptFdnQUwyMjPb0jPM8jEol49SGKorihGN+4YaGmcrmM69ev45PTp9fj6oS8ES2ifmHLGnbADceUi0UQSfIMQSwaxUenTuGbb79FLB5v2hVF0zSIotiXh2tTT29gYAC1Ws3tbLNJ+uE8z3tG3rIsWJaFWDQKwxeuEeikx9gynS7fZVn2WpN1uq1uGLh44QKi0Sg+OX26Y/2aoCTz60I3x+70LLu5qufPn3fVZIRQmh8bJ0wfhlC9FFlREI1GEY1GUaHyGf3sIyuKotcC8BiAcqWChYUFPHj0CIXLlzEyPOzpzbcrBgyCJIqwqM4RW8Fz9F0khMCkztulS5dw4v33MTAw4NYp8DwI3D6s7yq2vmGnwj+SLMO0bQi0pPr4iROYnZ3Fp+fP1xchUG+UURt7jfcBtN0WIVBkGclk0ot7b8ZSj6NVkYxLHJFld8BSJT7LsmBaFjRNA9E0T/SIxUrDLLEVatjNDvvKlisVzH77LSa2bcOhgwdD5TkamTEezzn0UfuHbkIxm+2tO7aNV69e4fz58+3PhRDPgDNjzs5REATItKE0q760LMtjx9iWFUpsqxckEgns3bMHe/bsgaqqrnBZPo8HDx5AEARXzyabRTqdDqVZxPM8FFn2clEcx4EFYkzThGXbuHr1Kvbs2ePJVRC4jhjPcVB6rAd4k9jShl2SJPA8D9O2IaH+hdw2Po5qpYJvvv0W586d85I4gCukJAiCN5B7jYfbluXFDlOpFKqVCgorK5gYH+9pv83Asv+6pnkrDo7jPJZABPAMvWlZMA0DmqZBo2EoURDqPPpGsHBOJw3DC4UCvv32Wxw8eBAzMzOhr6NZvPlNeOzdhmI6QofXtbi4iEQiEVghWTeZm6arNw5aPdtoyAOOy3Gcp48ObDJLhFtvVcfBZbeMj49jYmLCK7LL5/P44YcfcOnyZaTTaYzR2HxQwSB7ZwVBgEi9dgDeMXTDwO1btzAyMoJdu3bVXTP78yPd8S0Fiz0blUqglviePXtQKpVw+fJlfHTqlFsybxiwqLfOBjvT8OgGDiGwLcuTRuV5HoOpFAqsfV4HVaxhwQHgBAG6rjcNJfkNfTQS8bw507JgGQZUTQNoY4L/n703C5LjOs9Ev9wza+9Gr2js+04QXARCJLiMpPHD3PCL7szceXE4HJbijm3dCT94iXlThEdexsvcaz+MH+UYyRFyxJ2wIxy65kiiRFFcQYobCIDE2gB6X2rJfTn3Ic85nVWdVZVVXSBIdn0RHUBXV508mZX5n//8//d/vyxJkGQZEmUPSJIETVUzt8y7e/cu3n33XTz22GNNQl594WGzYtpp9nT6TA/oVS9m9u5d7Nq1CySKENJGzMyYs8YRBBs5J04BzDC+IIoI6XhZk6X9II2GKAgCJMpMEwQB5XIZ5XIZR44cgef7WFpcxPz8PK5cuQJFUWI9m6kpjI2NQaQ8fDampqowLYvvUPwgwNWrVwFC8MiZM80Kr3Qun7fGGq34Qht2IPYy3Fptk1wnED9Ejz76KH7xyit47/33cebMGa43kdx29huOYfrSYRQ1JYJKxSIajQbWVleRM4wHUt0mALAdJ3OcUBAETqWEYcQxyCBA4PtxgZTrxvr19P0kimDZNiAI8TnQvpLJh4QQgo+vXcONmzfx9NNP9yTF0A5dWTFJfnQGQ9RqRDn1LkWzhNAteo8T7u396LwbIYQgCkOEUQTf8zA3N4d9e/eiWqs1j5Ew5EwquleIghBXLksS9AeomZK6+AlC2wVOVRTMzMxghsoQr6+vY2FhAZc//BD1eh1j4+OYorF5g3ZakiUJpu8jAvDJ9etYXVvDxWeeabouyQXm8yolwLAtDDsEAUGbohpJFPHkl76En/70pzAMA2NjY03eOgBA6C601Qq27QUhm8vQBQEjIyNYWFxErVYbWFFJEgItIul3+8yrWxPXLKQGJaIeoWXbaDQa3DMURRGSIECkVXyXL19GrVrFs88+C13Xu2p8dwQ11G07GFHPVGDvTf7b5TxbDQv73lrBxOP4kVOMTtNCQDq3K2w7JzqHMAy5B578P5OAXpyfR6FYhEabqDBt9H6at6RPJL6HjErlwZXWdylSSjbTTv94/CyNjIzg2LFjcF03bhE4P4/Lly9D13XuyUeEYGV1FXdu38b58+c7hloKA6z9eBj4wht2SZIgaVpTtWSrYJamqrjw1FP40U9+ghPHj2MkzdCmSA20Q5R8H0nX7zYMAzldx3q9jmKhsGVKZRoYzWtQ4Mp59DqKkgSThpMIgCgIEEQRXMfBe++/D0IITj/yCBwm14qNcnWBarwLogiRhjdaveVNBprETZZJG8P9oIMzLDbd+t22A6PYxr8IvMCJ/T+i55P8NyKEhwPZeRIAIuLrr1DqoSSK+GhlBftoQc2DgO95IEBPdNSe0c5gY2OXzKpGo0QhUztomoZdu3Zh9+7dIIRgbW0N89TI1xsNRABOnzy5SRSPOSbsOxoZHd3iiT1cfD4VbnqEZhjxg4KN5Mim9+g6Hj17FleuXsXVa9faexFdwMIvDJ0e/crICERCsLa+nuEseofrusg9wMy+SpPTYRRBVRTo1HN85513UC4W8cyXv4xisci15T3fh+26MC0LDdNEtVbD+vo6VtfWsLq2hvVaDdVGA3VaWGK7bhwKot4qybiwPihEZLPschoI9ayZwqHjOLAsC6Zpot5ooFaroVqroVGvo95owDRNWLYNx3Hgex4iQnjuI5/LoVQsolQqIZ/Pw9B1qIqCMAyxtLSEnQMsPms61zCMq6RZh6QHgI7hoZRnTUrZXW3+2MbzLQgCRkdHceLECRw8eBCCIKBSLqOcsgNh1alATA4olcuZz+Mv/uIvIAgC/vzP/zz171evXoWmabh48WLmMbeKL7zHDsSruCXEXVLENl677/soFYt44bnn8Nrrr6Neq+HRc+eaaFXdtKJJh7+l3ajqA6Y/Oo4DXdczNbfoBzJNqPqeB13TsL6+jldffRWHDh6MG5sIAr/BiKbxnUwYRbGHSo11SP+NaAKQ6XcI1LtNhnCYDgjTzm5NfLFdAVjIJJEAb33o2d+CINgIvyQW5uT3SaIIjuPEc2ZhNvp39h5Ga+XeJv0bcyhEYCMXkZi/yHYt9PcgihAFQUdH4v79+xgbH4f8gLxpx3EgSBJU2iZv4Madfq8dcyWtLwGd2/axMVtyJpcvX8bs7CxOHD8O1/e7hqqK5XJP58sqfl977bXUv//O7/wOwjDEX//1X2cec6vYFoZdVVUQSeLhmLSbKQxDSLIMI5/HxYsX8dabb+LnP/85zp8/32Rwmd5E2hhpN1zbmDBFpVKBaZoPhP5oU8PerSvUVqDpOkzTxNzcHN5+5x2cfeQRzOzc2WSUCCGI0NJWrkNDBPYZVtod+j7fCVm2DREbVLzWmDb9z4ah7rLLighBnWrlp0yCfz6KopgLLUkQGH0ViPMvdBGRJAlKi5FO/mQBX9AAvjAlQzgMs7Oz2L9vX6Yxe0VIk+a6qsILgninMuiDdAurtLlenfI0rXIEQRDg0ltvwXFdXLx4EQsLC1A0jV9f/rmWPqu9hmHOnTsHwzDw+uuvb/rbD37wA7z44ov41re+hTNnzvQ07lawLQw746T6tFFGKwjim1nVNIBug790/jw+/PBD/PgnP8HTFy5slGtTz6vVULaVmO1iUEVRRKVcfiD0R8e2HzhtS1UUXLt3D7du3cL58+djHRygb3U+BuZ9i5LUnJ+g4ZBM2jJJ75sa+ybjTw0mS5YLaDYOSYMchiFEUUQ+n89cfRl28ki7gC8EbAdAFxAAsGwba2trOH/+fJ+jd4btOHFsXdPgB8GWv8tNaJcwTb6lQ7I07Zlqfd22bbz66qsolkr48uOPw3FdRITEAmF0d9jOK++1jaSiKHjiiSfws5/9DHNzc5imDpppmvjd3/1dTExM4Nvf/nZPY24V2yLGDgBGPo+QEC6qL7Ss7ARooiQKgoBTp07h+LFjeOmnP8XCwsLG39AcO2+Nq6eh0wPO4tBrq6tbY44kwLjMCtNrfwAcZEIIPvjgA9y9exfnzp3DKDPqae/dwnFat9Y9fDD2nClThBWryLIcF1/RMIZCC7FkWY75+vS9YsLrZt9LL3THQV5xxm8nhOD27dvYNTMTy0EAAzW8QRAgCgJomhaHLFpCYQNBhvmSDtdZEDb3Jk7+f21tDS+99BKmd+7EY+fOxQlp34dE5TYAcPkEAQAS56fT/g29goVjXn31Vf7at7/9bdy9exd/8id/gnIPMftBYPsYdsOAIMtwaNENbg7HYAAAIABJREFUgKYYK4DUIoy9e/fi/PnzePPNN3H9+nX+OfaAd4yrA9keOkrZikhcYTcIeFQfg3klW2m5lgSj2nm+j9deew2rq6t4+umnoRtG7N21/WD/R2/9Th6mnMADrTrNgIgQ3Lp5E/sPHGgK8/HdxhaNvGPbAGImDLvHe6H5dkPm69flmCzeDjTfH/fv38crr7yC06dPcwVXx3FACIGU0EYKmGEXxSanp9xGO6obmGFn4ZgrV67gL//yL/HUU0/h137t1/oacyvYNoZdEATkikWuXgeAx2KDIIg9tDZewtjYGJ599llcv34d77zzTlxtSf/WzZvJ6mEm6Y9hJwOZEW4Lh72Jetcj2OLFKhtt28bPf/5zCKKIp595hgs0NS2aLdhS1WJGltGDBM8PfBqGvcO1WlxYgKppbWsfWJK2n6sd+H4sY6vrzbmBARr2Tm3xmpCFgcbGojuZK1ev4pfvvosLFy5g58wMAHDdJyVB0ZUkKfbYU3ba7UQBu+HChQsQBIEnUH/7t38bYRjib/7mbx5YxW4nbBvDDgD5UgkQBK59weOnQdBVIrRQKODZZ59Fo9HAK6+8Atu2s3syJFuRyujoKEQAy2tr2cbtAKeHqtM0MGMeUWPOzrVer+OnL72E8bExPP744zxcoWsawiDgSpabBxyQcch4LQeNXnudbiVZ3ensbty40VVrhx2ZGfisV8t2HAii2FSUlibE1jcGHMZiC4/r+7j01lu4f/cunnv2WVSocSZU54a1vYMg8EKuKKVrmSAIqPTJXx8ZGcHx48dx6dIlfO9738OPfvQjfPOb38Sjjz7a13hbxbYy7KIoQs3l4lWcGqCIFoJkUYtTVRUXLlzAyOgo/r8XX8SN69ezG6wMN7WsKCiXSrAtC41GI9u4beAkBMA2ptCdncHiuMyYJ89ueXkZL//sZzhy9ChOnDzZNBar8PWo2NKmcfs+E8TXLhH6ehhgBSy9vH/QMC0LK6urze0DO80h8X/G3GkH3/NAwhA6lbdlSOYXtowHcE1mZ2fxv/7lXyDKMp6+eLEpPu7ShKlOOz6xxLskSQAhPM7OUNxin4Snn34apmnim9/8JsbGxvBHf/RHfY+1VWwrww4ARqEQF8tQr52t3HIGww7Ei8OJEyfw7MWLmJ2dxUs//Smq1Wrb9/f6gFfKZRi6juW1NZ7o7QdpzXw7gRt0+tOK2dlZvP7663j8iSewL4VmJ4oiFFmG57oP3Pg+jBg7k3J9mLh54wb27N6dyQlpBbsPeZgm+R0TEvPWRXFTmb1Iu4992uj23DBl1itXruBL58/j7COPNBnlMAzheh40WqnLjLhIK55FUdxk2PuNrzOwOHuj0cB3vvOdvsM6g8C2M+yKYUBWFLi0UQRHgl7W7aaKCEGxWMTFixexb98+vPyzn+GDDz7YdKMkkTl8IAgY27EDMoDFpaVsn0mB67qpWhhJr51zxTsYdEIIrl65gg8//BDPPPMMJiYm2h5T1zSwBgaDBrtRSXwSAx+/G0gHetyngTCKcPvOHew/cGBL4yQTriKNn3uehyiKUkN3Aw3F9IB2z0sURbh29Sp+/JOfYMfoKF54/nmM7tixKUzm0F4DLM8UUboqW6jSzmirMgIsRPbEE0/gN37jN7Y01lax7Qy7JEkw8nkQQjY0mgHulWQxwMlOOvv37cNXv/pVWKaJF//lX7CYoEUCGyySXiArCiojIwiCoG+5AVZw1Q7cmLcU+SRBogjvvP027t2/j+eee26TvkbavEUqF/zA0K2w5QGgH6rjoHH/3j0Ui8XMvWGzgPH4WSVvKj//IZ1z2h25urqKH//4x1hYWsJzzz2Ho8eOQaC7l+Q97FNFUl3TuMEPw5B/f7zyNHFuqqr2JCOQhj/7sz+DKIoPLWGaxLYoUGqFahiQGw24rguDhSsoHbDb18GrABPQdR1fevJJzC0s4NLbb2Nsxw6cOXOmKcbd6xddLBbhOA6q1SpyhtGz3EC7cm1WDs9ip+3m5fs+3njjDQiCgIsXL2aKPTIPybaseGFJhAwG6vN9yg9Nr1THLXu4Ked34+ZNHNyit54Gx/NAaLN10M5byaNvlULZr5xFq9zHh5cv4+7sLE6fPo1du3dvpsDSHEJEpR8kSWrasYa07zAEIZWZU9qiwur3vvc9/NM//RN+67d+C0888cSWxhoEtqVhF1QVqqrCoh3Y+evoboDaPrSCgKnJSXz1K1/B5Y8+wosvvohTp09jmjaW6Ofm3rFjB5chnZmZ6SkU0CpYRVpCTALQ1IwgCduy8ItXX8WOHTviRgQ9HFdXVTi2DdfzmgXIBmXsMsgEDBrMDGS6DikLf69oPbtqrQaz0eAVjYMC09lXVZUv3AKLqaeFKfvAVr+p+/fv45e//CUmxsfxla98BZqmdSyCc2lYqVV6O4wiKKoKEUDIKosTn53s49reuXMH3/ve93D9+nV897vfxcmTJ/Gnf/qnPY/zILAtDbsky9DyediOA5dxrxmNroPhICSWV23n5bKuRKdPn8ae3bvx9ttv4+bNmzh06FBfmuuiKGLHjh1YXFzE6upqbw2wCeEaGO1CLWkLGRPyOnzoEA4eOtTzToMl4FzPi4vC+B+2zodm8/20t7kRS7xlefMAzrP1+7px/Tr27ts30OIogrjsPhmH5mAspK0solu8DrZl4dLbb6NWq+Gxxx/H+Pg4n3c7RGEIz3V5gxGGMMF8S5O7KBaLfSU6f/jDH+IP//APUalU8Ku/+qv4q7/6qwcmodwrtqVhBwBJ16FpGhr1+qabt13nlqwtywQA5UoFzz33HK5du4ZLly7h3r17OHbsWNc4dSsMw0CpVMJ6tQojl0M+443DErmdNKzZ9pUZkvn5eVy6dAmPnj3LCzz6gappcF031oNn2+FB8tgHM1IPh6SMkkE1sOgCViUsIG7jdvfuXbzwla8M9Bie6yKKIuRyufYLBitS6nHsrNrpaWiYJq5du4Y7d+5g3759eOLxxyHKcteQDhOIYzUVSbCew5vYRHTx2ZmRPtqKb3zjG/jGN77R12cfNLavYVdVqLkcBNOE53lNCdF2N1AW05RknAiiiH3792N0dDTmgL/8MkZGR3H82LGePISRSgWO42B5ZQW6qnZtysH6rALdt8KM9XD9+nVcuXoVTz31FEa3yA5guiuu63LD3m+sNYksobIHAdZ3s5fE+lbBjjQ7O4uxsbGNXNAAkIxDyxkEzdi5Zz030odRr9XruHr1Kubm57Fv71786699DVKimXy3a+84DsIwRC6X27QAu64L1hEsCQFxr4axDkyvzyu2rWEHAFnXoaoqTNOMY3D0dVHYaKLLQAiJxYIybk2ZwZREEZIs49ChQzh0+DBu376N1159FcViEUePHcP42Fj3MQUBO3bswNz8PBaXl3ncvhVcyTAM+bG7gRCC9z/4AHNzc3ju2WfjJNoAoGkaTNNEQKt6B+ZlPwyPvQeq4yAXHkIIbty4gVOnTg1wVPBetUYWsSu6e2AFWt2KlXpZAABgbX0dV69exfLSEg4cPIh//dWvQlFVLmEBxM9SpxF9z4u1kTQNiqJsOr5L5ZZZeCb51+mZmYfOYHkQ2NaGXdF16LkchLU1NBqN5i2ckNJMt9d4M8Dj9mEUQVVVHDhwAPv27cPs7CzeuXQJiqbh2LFjsbHuML6qqhipVLC6toZqrYZySmuviCW92Fa+izEKggBvvfUWPM/D8889l8l7ywpVUWAKAhzPQ35Qbf9Y7PfTjrFHUaZFEsDAQk6CIGBldRVBGHasHegVPtODYeqN3eaR+D9BnPfh91nKnLMYdQJgZXkZV65cQbVWw+HDh/HYY4+lFl4J2Og1m4YoDGHbNiRJ4s9vch4kiuD7flOxHlucVFXF1IAT0p8VbGvDDgB6oQDdMHhMmFGkWr2EfrbYXEgpHoC/Looi9u7diz27d+P+3Bwuf/ghPvjwQxw7ehS7d+1qa7hKpRIc28ba6ip0TdsovqBJ3SQ6dqdBvHV99dVXUSgUcOHLX4Ykit2VKnuAIIrQNQ2O67bXj+l37IGO1h1RFA100csCAuCT69cxyGYahBDYjgNREPruY8pDapQa2Tp+t88uzM/jypUrcB0Hh48exfmnnkrdDbGROoVhCCEwLQuCICCfy/H3JUN2vu8DhMS9FihYzH16584tSQh8lvHFPKseIGoajFwOfrUK07LiIpvkDbJFeh3LxKfRJAVRxMzMDGZ27sTC4mJc4Xn5Mo4dOYI9e/em3vA7duyA5/tYXFrCzunpmPmSYjgj2ng5DfV6Ha+88gr27NmD48ePNz04nbjtvULXdTiuC9dxBt7279MC8+6kT3mX0KjXsbS4iHNnzw5sTMd1NzjrPZxPMplLXwCATKEZIL7379+7hytXrwKE4MiRI5iZmem8oyQbDUbano9tc2pj6lhUKoGguSF3QNUed+3d23Xun1cMDbsoQisUoNo2giCAZVko5PO8BR4LyfTryQqC0LlPIz3G5OQkJicn4y3q1au4/NFHOHToEHbv3t0UC5VkGaMjI1hYWsLK2hp2tEnCtqNlLi0t4Y033sCJkyc3eYOMOTAo0SdRFKGpKhzHiTnEAzKOn2YCtZfipEGW3l+9dg379+/vmijPiiRnvacxO3xnLNyXVrQHxLHtu7Oz+OT6daiKguPHj2Nqaiobs6yLlIHnuvB8H7qmbfK62ecEUYTnebG6I/3+WM/a8enpVMmNLwq2vWEHAL1YRH15GQJtzOypKs+gD8IUJTugd8OOsTF8eWwM6+vruHHjBv7Xiy+iXKlg7969mNm5E7KiIJfLoZDPo16vQ5ZllIvFTeOkxSXv3LmD9957D088+SQmPyUmQNJrz5Ssy4BPU7OFJ/CyFicNAJZl4f79+/ja1742kPEIqCSvIPTcKrFb5anQUskZhCHm5+ZwZ3YWS8vLmJqcxNmzZzE2NpZ5JyjQcdotKmEQwHYcKLK8ScGUzUlE/N15QQAjQRFm3dL2PYAq3s8ShoYdceckyTBAXBeiKMKyLCilEjfqvKihT4+T3fy90PUqlQrOnTuHs488gvn5edyZncW7776LyclJzOzahcmJCQRBgPW1NSiy3FzlCcrkSFAvr1y5glu3buGZZ57p2KaLVaQOymuXJAkKFV3TaGPtzxNIL4Z9QLh27Rr27t2bubdqN3DOumH0fQ+nOiZUlgKCgOWlJdy+cwf37t1DpVLBnj178Nhjj/V8DixZ2rZIMIrihuai2NFRIIhDTwCgsTmQWKq3XKmgvEUJgc86hoadQisWYdo2jFwOtmXBZh4m83xFsSe6YxJcIlQQILRRlmv7WUnCzpkZ7JyZgee6mJ2dxbWrV/HWW29h18wM8vk8lpeWMDU11bS1jCiPPowivPPOO6hVq3ju+ecz8aEZm2dQiVTDMOC4LrwepYTb4lNcHD7VzkmIjdHs7Cyef/75gYwXRREc14WckbPeinb9cgkhqNdquHP7NmZnZ6GqKmZ27cJX/tW/6qtnKBuTH7ONcbdpXL3QJq5OCOHa80zBNflcBEGAXXv29DW/zxOGhp3CMAyYNGSiqCpcx4FK1Qo50iiQGSBSAyskxugZhECSZezfvx/79+9HwzQxOzuL6zdvIgwC3Jubw4njxzkNkkQRwjDEL155BZIsZxbyYhhkMZAsy1CZ165pnyvecNbOSYNaBD/++GPM7NoFTdcHMqZtWRCALYfB2Ewc28adO3dwZ3YWnudh165deOrChY37jtFte5x7Fmqx6zjwgwCGrrfNE0iMd4/YsCuKwhflMAxh5HIDpY9+VjE07BSKokBUVfi+D8Mw4Ps+LNtulknto7w6/tjGzZbktme99VlHo+SxC/k8jh87hmPHjmFxcRFXr13Dj378Y5RLJezftw9+EOCtN9/E1PQ0zpw+3bPHyfS6BxKSIXEXG8/3Y5mBzxFDJhOHfQvJ9SR8z8OtW7fwwgsvbHksIDZsQRhC1/Ut6cyEQYC7d+7g7t27WF1bw86dO3H69GmMj49veh6EhPPTyzXpttgHQQDHdaEqShN1MQkxccwoDBGEYSzBIQhAFMEPAkzv2vW5uv/6xdCwUwiCgFyphMbKCnRCoGsabNuOe4cmwwd9iBsJohjHDqmUba+ee6uUatPYACYnJlAsFrGwsADTsjC/sADLNKHRytrV1VWMjI5mL7JJjD2oRguyLEORpPjhbGm/1gvYTAYZKuqEKIq673QGIPwFAB9/8gmmp6aQM4wm1dF+EAQBHNuGJMttDWFbRBHWq1UsLS1hfn4eyysrGBkdxb59+3D+/PmuHZy4cUf3XR+raE1+l63faxSGsC0Loii2DeUJLZ/j8XVNi6WqowiaYWBnjyqpn1cMDXsChUIBVqMB23FQyOfh+z5cx4kTQFsIHySTmK2vpzXVTSKrx5wzDIyOjkIQBExOTKBWq2H//v2wLAvvvPsuzEYDY2NjmJyYwMTEBEqlUjbjOiCjBcQMmbppwvP9vgtkNqbV3bCzxCfrFMXfTz1s9mnP83gsWQD4wsuSbT0bxj7gBwFu3LyJZy9e3PJYhBDYVDYgk9ogITBNE0uLi1hcWsLiwgI0TcP4+Dj27t2LI0ePolwqQZblzIspu55RGHa8z9pJR/OpRRFMywIhJC5CSjHKaaOzJjoydaT8KML+PXtQTGGQfRExNOwJiKKIQqmE2upqHJLJ5VCv1WCaJvItIRkgu9gRuxnTbmBeop2CiDbgzYpyqYQgCFCr1yFJEgrFIm/O4LoulpaXsbiwgI+vX0cYBJicmMD4xAQmJybaGoBBeu2KqkK2bZ6/2EqsPSIkpq5FEUJaeRuxn7TQCPudHTNh2G3LSj1GSAgsy4ppc54HURAgiiIEUYQkCPFOTBTjPqJb9AJv3riB8bExHvrbyo7EsixEYYhcodB2Xq7j8PthcXERURjG98LkJE6dOsVj8p7nwTTN/hQbCelYF9HtHEkUoWGavKiqF/69a9tx7QRleI2Nj2N0dPQLW2naiu1xlj0gn8/DNE04noeiosTGvV6H1BqSQYLj28VAsSx9UmisaZw2N3g/KnkjtKUeIQSNeh2TVMda0zTsmpnBLirHa5omFhcXMT8/j/fffx+aqmKCevNj4+NNHjXjBQ/CuOuGAdM04ft+pgIRJgbFYqaWZcGjvPgmrj5lAbGCMNbfkl0/rs7I8iSJ74wZU0ZrZd687/sIfR8GpWkS6sGTIICfuBbMbEmiCEmS+PElScq0eIVhiE8++QQXLlzo+t5ucF0XQRBA0/UmIxYEAVaWl7GwsIClpSWYloXxHTswPjGBg4cOoVgopM6V73bQZx/NNiGZTkadgBp1y+JGPdUgtyEy2I6DgBAU6f2lahrGJycH2lbws46hYW+BIAgoFotYp167SouVrEYDsihCThqjpOfe4QEWqKfX1nOhYyVv9CgM+0rUioKA8fFxaLqO9fX1Jv2bJPL5PGfYEEJQrdWwuLiI6zdu4M0330SpWMT45CRGR0ZQLpfjsu0BxLVVVeW5i7R5RVGEIAjgBwHCINjUIDwKQ8iaFhtb2uqMedL9oq0XR6lyOcPYFFdmuwNCCIIwREh/fN+Hl2jmLSKuFpbpT9o8b926hUq53LG+IAvCMITjOBCplzw/N4e1tTUsLS1hbW0NlUoFE+PjOHv2LEZGRrLLEJNsSqFt0RLO69aWMQrDOPwShu2NOtokXAUBjUYjZgLpOgiAyZkZFAqFrrmBLxKGhj0FhmHA1DTYvg+ZEOQLBQRRhHq9jlK53LwlZJ5gl+o8URQR+D7QhnaWLIbaKhNFFASUSyU4joP5xUVMT01B6bAFFQQBlXIZlXIZRw4fRhhFWF1ZwdLSEm7euoVqtQrf81AqlVCiBqhcLsdx1z640Yauw7QseL4PWZYRBEH84/uIwhAR4ushyzI0TYPMPHCqu6NrWkwHBAYW/08Db2KdYtTYjoAAm0IEURgioLuMMAwRRhF82qmLnZcsy/w7uXbtGp588sm+5hiGIWq1WpzsXF5Go15Ho16HKIoo0+/ryJEj2LFjR89hCK4YukV6aqvj0smokyiC2Wgg7OSpA+nPnCDA8zzellEURYyOj8MwjLhV3jbC0LCngHntq6ur8AmBKoooFIuora+jVquhVCr1rOGhKApM2+7s3bObfxAhD03jXv/i4iKmp6czV31Koojx8XHejgwAPN9HrVpFtVrFyuoqbt2+jdr6OjTD4N5mpVxGKeHdt4MoSfA8Dw3LQi4R3pJpibgiywPTSNkKQsph77luQZKgShKQWPTCMNxYwOiOxAIwPzeHXC6HUqu3nnIP2JaF9VoNtfV1rFerqK2vw7RtFItF5PN55HI5zBw5gtHR0S1T+vh92kc4MA3ccelw/7NEaUA7O7VzRlJlDuiz02g04qSxYUDP5VAZHUWxWNwWTJgkHv7T8xmFTqmCtu9DEUXIooh8oYBGo4GGafZ8s7BmE2EYtvdCkFCT3KJxV1QVxLIwPjaGxaUlLCwuYnJiou+SflVRMDY2hrGxMRyg82QP4vr6OqrVKm7evo0qDf+USyVUKhWUy2UUS6VY/1sQ4FKvnAAA5YgbuVzmeHQSgyyiSkM3DjvzaLPMm8XemcENwxCu4+DWrVs4fvw4T1CqsoyIEH5dmQFfr1YhSRL3wqenpnDs2DEUCgX4lNqoJaSctwqRqoaSKBrMNe5yjUgUwbRtBLQLUjspgtRREvkP23GgKQoUVcUkleX9rPQh/TQxNOwdUCqVsLKyAisIkKOaJ/lcDg3ThNloIFcoxHKu7Id52yk3MTPsrKNQGnhoYQAeu6aq8DwPuVwOO0ZHsby6ioWFBUxOTm5Zr4V/WhRRKBRQKBSwK9E30vd9rFerqK6vY3l5GVc//himbcP3PKiKAiOfR94w4nCEqmKkXIaRy0E3DBgtSb/0CbRUKD6gcEwUhs05lU3T6K1gLaIxcIvmGG7fvg0BwNz9+7hx/Tos24bnuvEiIMsolUoYqVQwfewYyuVyqtFmcfXkorFVJIW9snbi6jIgT3RyLZgECCEwbTuuDE3JZzS9F5uNOwvxWKbJaZGj4+OQJAnFYvFzVek8KAwNeweoqopSqYRqtQqJEKiSBEVVkaM0OMGy4h6L7MZJGvgWCIIAWZIQ0F6kafjOf/kveP+DD/Ctb30LTzzxRPwiZSX897/9W7z88sv43/7Nv8G//3f/ruvcZVmGT7m8jLu7vLqK+fl5TE1NbV2Mq4NBFUURuVwOsixjZHQUBwFIigJZkuB7HmzHgW3baDQaqNbruHv/PjzX5a/LkgRD12HQ7XRO06BTwx8EASKaUJVEERKlHA764e0UXwdiAxMmkqZRGMaeMz0H27bh2DZM24Zr27Bsm5fDG4YBRVWxuLiIgwcPolwux6EDXY93WlEE23Hg0/NkPWQ3zYHyzwE0KRhuBQLQpNa45SIwdp8kvp9kOIYwSmkYIkcT4u2OmPYN84YclEUjyzLyhQJK5TIKhcLAFEU/bxga9i7I5/MIggBmvQ6REIjUMwrDEC71rlRN2/DcGVI8d0lR4NIkWisIgP/jP/wHfPif/zP+4R/+AY8//jin533vf/wPvPzyy3jh+eczGXUgDsV4iUWEeS4rKyuYm5/H1MTEllgC7MySoYiAGjbP97nmTk7TIIsiAmosZOqxMzTqdQRBgFKpxCmFnu9zw2jbNmzHwerqKmzLgmnbcYKVauEE1KiyUIckihBlOU640j6XoiDECp40CSvLcvw3ev7vv/8+HyeMIoRBAJ8yXEDDEQE9XkiPHQQBIAiQaVKXHd8wjHhB0jSUKxVMTk3B0HXohhHr5NDzfueXv8SB/fvb9jOVFQV+EMCj/Tz9IODt35iRt2nOpsm56BO8AjSlK1Lfi2bS4Um8xrjtzKgH1Kgrqsqv66ahUsZuqjR1HERhiEI+j/GpKRiGsW2KkdIwNOwZUKKFP6ZpwogiSIoCwzBiCVHLih8qKjbE1fBSPFpZluEg9vRajSqJIuzevRtffvppvPzyy/j5yy/jmYsX8Y//+I/453/+Z5z/0pfw67/+65nnrKkqAuqxMxQKBUAQsLK8jPmFBUxNTm7NuFN+u+f7sYdJaX6aqsYSvawwq8MYrAjMcRzkDAOCELdt01QVSKH/ra2vQ9e0Jk8sJARhEMQGlxnoIIiNNDXUTX9L/BBCoCgKdOotsgWBEALf91HI56GoKqTEgsAWkH5Rq9dx9949fO2rX237HgLwhULXNLjUwJuWFRdH0d2PltJoolcwRcTUTlyEQOnxHuGLRJf32CymznYqGRg4vAFHy7NVp0nTsfFxFIpFVCqVbRmCYRga9gwQBAEjIyNYDkNY9ToK1PPL5fOIGg2YloUCLfBgD0naDcqMaJBi2Jm0wNe//nW89tpr+H//5/+E47r4wQ9+gLOPPIL/8z/+x55uVEWW4bUYdiAWDxMFAUtLS5hbWMD0Fox7SPnGLi3J13UdmqpurnbssJ1nOx6XasjIfcxFEgQI1Lj1KlTw3nvv4ciRI5tedxwHjuOgXC635UunGcIseP/993Hs6NHMHXwEqpGiaxo8z4Nl22jU65AlKW5ztxW08dSBZl2ezMMBmYy6kwhNKfQ6bCpiavol/i2tSM5z3bhhdS6HqZkZjI6ObjsWTCu299n3AFEU46IOTUOj0eBcXGYozUaDF9OEdJvJQW9KmXp6rXH2JFd4dHQUv/Irv4KlpSV897vfxeHDh/F//af/FCdfBSEzQ0FWVfi0ArUVuVwO4xMTIIRgbmEBfoe4fxoiQmDZNqq1GnzfR84wUC6V+lYR1HUdAmJJ2G540EwYBibX26mRcj9YWFxEo9HAgW4dfNLGpyElQRDi8I6uw7YsWLbdV1UwV2Fss0D1U/nc2gS+FWEYwjRNBNSoJxe35DVt+p6Fzu0pa40G3CDA/gMH+uLrfxExNOw9QFEUjI6NIRJFri8iUBokAJiNBu/hG122AAAgAElEQVQ1SghByG7ExA0pSRLCFkPaersmY4O/+Zu/2XTzZ/WeZFpO31q5yZAzDEyOj4NEEeYXFngYpRs8z0O1Wo2TnJS5oet618rbTl67KIrQDWMjrt0Jn9L2OoqijonTfpg4BLG3furUqb48ShJFPFlaqVRQKZeh6zqCIECjXofredkVQ1n4pYtWS+YYO92ldjo6C2eGtKK0dcfSusAkE6ztEIYhGo0GSqUS9u3fvy0kebNgaNh7hK7rKI+NwQ+CWEEPsbHOFwqICIlFi+iNyKhdSW9KlmUELR598oZ+9Re/wPe//31eXv7DH/5w8yQyGjdVVZvK29POZXJiAiKAucXFju8Nowi1eh110wRBHK/P5/PcQDH99n6ph7qmxW0J2ySXk0g7wsBZMR1ofv0e6datW1BkGTt37uz63k3nSBkwESHI5/Nx+IyGv4qFAmTayKSR2Dm2HZtk00vn93G3RSjDtXddFyaNgxcKhc1eNd21CkhUqmbg0K+uriIIApw6eXLbVZd2wtCw94FSuQyjWIRj27Co5y7TvqNBEMShmpaHK6S0RUVRmjzp5I377rvv4r//7d9i165d+M53voPp6Wm89NJLmJub2zyJDA+TYRhtlQsZdF3HxMQEJABz8/OpcXnP92NZASqIxSRc0yCKYtswQkfQ8AKJIi65+rBACEEUhu099j4WkSAIcPmjj3DmkUeyTqLpV6YymaP8/yQkSUIhn4+bSiAWeOu0SKdWbqYgovdsR8ZNN6+fMl8cusMr0EWJi7IlxhFaPtftnmk0GqhWqxifmPjCN6fuFUPD3idGJiehGwZcx0Gj0QAhBKqmoZDPIwxD1Fs8J1ZVypputMbZr127hv/7v/03jI6O4vd+7/dQLBbxv3/964iiCH//93+fPok2SVqGUrkcswW6QNM0TExMQJYkzC8scONOaCydjVEsFjNtdVM1tjMYElXTIIkibMdpbyweYEESA+ewt0vk9nH8q9euYWJ8HJWsTZQT3ytLNOqJRGMaFEVBqViErCi8EKpTA4tuiMKQJ1fTpygAncS8aOjI9zxouo5cYocHtOx86NyYkmQnEEJgWxaWV1Ygqyq+9NRT25oBk4ahYe8TkiShMjaGfD4P3/NQr9cRhSEUVeUx8ka9Hgt/JcA8Fdd1OW3rzp07+PP/+l9h5HL4gz/4A/7wP/Hkkziwfz/efvttXL16tf1k2sQ2S8UiavV6pvPRNA2TlNs+v7DADbrtOFBoLL0X9kyrMcj64Bn5PEAI74CTFYN8rJlhTwvFEPRuIC3bxo2bN3HixIlM70+O77ouXKrQmWVRFUQRhVwOuqZt7B6prn+3XEcr2HVI++54KKeN0WfHZn1GU/Mw9HdREBAwmYkuYDuAWq0GAcCRw4cxMjKS+Zy2C4aGfQuQaTVkoVBAFEXcS5ckietbN0wTXouR0g0DIS1yuTc3hz/+4z8GBAG///u/v6nR7r+lBUnf//73O84ljTFTKpVQr9Uyn4+qqnHMXRRx6/Zt1BsNGLreVdQrdT7osoVvA1mW43ix42wkn1vG7aUysR+wnVaap9qrjAAAfPjhh9i/b1/PmiU+rQ+QZBlGm5ZwqaCx90IuBwKgYZpxq70eF6Q0Wi6Pz9PjpMH1vDiejphem0brZGJ3AuIwZZbQIksee64Lz/eRLxRwKmtoa5thyAvaAkRRhEqNekEQYFoWGvU68vk8ZEVBsViEaZowLQtRFEGnRTWqosASBHi+j8nJSfw/f/3XcTOOlJv75MmT+Lu/+7tM82n1yIrFYk+GHYjDD7lcDqZpwrZtGLreN9OgKUnXg7eYMwzUfB+ObfO4MUencQYUpomiCGIfomRpWF1bw+LiIr72ta/19LkgCGBbVhw/Zw2Ze4RMQzMN04Rl23F8PuOui8lHN8Xz6T3a7goTQuLKY9eFLMswcrnOzCJk3wGFYQjLNGNpXt+HJEk4cfLkkAXTBkOPfYtQDANqLgdZUXiREvPSGRVSVVXYjgOTMmYEUYSqqvBdN45hgmqPtPLf+wGjiCGWQ2AddbKAUccAYO/evSjk87ypcT8a8YIgQGBc6B7OS5Qk6LoOr6VpBdDZKx8Uxz1skzhlxi7zOFGES5cu4cyZMz1xq5kREwShb6POIAoCivk8RIBrsmQBozqyfEk3Fk0URbDofa9q2qZ4evJ9SX48IaTrNfWDIN4B0MR8GEXYvWcPDh4+nOlctiOGhn0A0IpFyDTxVywWIcsyTMoEEAQB+Xwehq7HJeGU666patx+zfM4I6Cp/dpWDDz1rERBQLFQQD1DnJ0nfIMABboYTUxMYKRSge04mJufz8x13zQX9B4m0XUdkij2XHwjDcDLDtvI9fZ6HleuXNmkfNkNzEAC8cLcby9VvtsQ4t6shUIBoihyFcVuCJjQGq2yJkiPtQNASOPpQRBAz+VgUGkIgMo70/MiHRKt7eC5LizTjBd7TUPDNFEoFvHo44/3NM52w9CwDwhaqQRRlgFBQD6Xa/bSaRgml8shoAZUoB143DbJ1UEZ+GKlglqXcAzLDwRBgHwLx7hcLmNifJxXqVpd6JPt5tEuydbpMzmaSLVbue0PkBXDYr9pjJhejrpereLmzZs4e/ZsT8c2LQshEHu8W9Dxab1vREqJFGnIsJuXHCU99g7vc10XDboQFQoF3iu3qYiLJW5TjHq7RZtpybDkfSGfR61WgyjL+NJTT7XVax8ixtCwDwiiKMKoVOLYrCjGXnouB9/3UavV4LkuNEqHJFGERqMBRZa5QNUmJDyerRj4SrEYe+wdPm/ZNgLqqaeFDAzDwNTkJBRJwtLKCtar1Z7n0U8ylbXG8z2P7xYeNKktaJM47aXaNCIEb1+6hFMnT25qgN4OTII3DMNUrvogIEpSXMRDjXvbWDk2VDvb7RhY2M6hMsuFQgGSLG/QFamn3hFtZAIYo8bzPOg0eW/bNjzfx5lHHslOGd3GGBr2AUKUZRilEv9d17SY+kgfJLPRgEjb7AEbHeVbi4IY8yJZ1clikVGPHW1K5XLsUbXxmFzPg+s40Ls0uFAUBdPT08jncqhWq1joMe7OjtxrdapBe1eaCU52t09vJenJzmlTkrGHMa9duwZVVbF3375M72dGnemndOpP2w5Zz1mSJOQNAwTYxNZi4wiCgDAI0nctNEHaqNcRhiH0XA75hAAe2E8GtBZ6kSiKpZlNEyAExUIBhq4jCkNUq1Xs2rMH+/bvzzT2dsfQsA8YkqZBKxS4EZIkCaVSCYauww8C1Kn+OCsD9z0PtVqtc0FOygMQhiGvDOz0IHFmDDOoiSRYGIawLYvHL7tBEASMj41hpFKB22PcPTlDURQhZDXuLSGZLKXwW0EUhpurIpF9p1Cr1/HJJ5/g0XPnsh2PNm8OggAG1WzvCRnlAZJQVDWWkPa85iI6IZbEJYQgSEkgM0/adRzItF5DU9X+mq8TgiiR1Pd9P/bSfR+aqqJULnNHY71aRWnHDpw6fXrbqzZmxfAqPQCo+TyUBE2PSdoWi0VIkgTLsmBZFvL5PArFIhzHwdraWip7hSXsWh9eRm0kURTLFbR5sAuFAizbjoXHqLESKNOBNznokXnRFHefn4eZIe7erjglC2RZhkola4OMRqRf0x+miH+x/q5Zjvn2pUs4duxYJs561NK8mRn1zHNvWah7Qd4wIApCnJzGRh1E8j5jHnsURbBsO078EwIjl+Pa+a0iYVlFwwhij53QZLFlWRBEEcVCAblcji+kpmlCkGWcOHFiW/Yu7RdDw/6AoBeLkJIJHkHgrJlcLhezUOp16LTU2qPVq3ZLGXgSbUu7sUEbY0mvjcPGdLdGi7RASENAuq73pcduGAamp6agKgqWV1awtr7e8f2tjzoXDct6PCoJ7DhOVw+x3+IogDawbrkeWcMcn3zyCURRxMGDBzMdp2GaiOjCmlWbvdc5tf08bV/IGook77iQFjNJogjP89Co1+G5LhRVRaFQaJu4zCouxt7ruS7q9TqXSygUCk0hMMdxYLsu9h88iMnJyS2d73bD0LA/IAiCAL1SiZkyGy+CIC7fLxSLUGQZDg0vyLIMVVXhOA5q9XrbEEcmb4gmXNm2ulQqbZIWcFyX7yT6hSzLmJqaQj6XQ71ex/zCQlsqXdtq0YyVnIIoxsVKhMDtUW4gK9qJf2UR/WqYJq5cvYpzGUIwEU2eE2bUWwxlN8PYVPS1BbDGJq3XM4oi+LT1o2VZIIyym6AxtptXFjCnxrJtiLLMY+nJBjWu66Jumth38CAOHTo0DMH0iOHVeoAQRRHGyAhAW60lIVOp3zxt+mzZdty0gkqPNhoNWG1oaWkx4LT3MNZBsVTC8vIyT2xFVPdcow0umExqP0jG3X3fx9z8PKyUhhntRmdhpiwJN1lRoKgqXM/j7JW2SEm0kpQf3uSExpcB8IbK/LNddggEwDtvv42jR45wbf52YGwSAiDfwftte06DyDEkGFcs/MMcCRaisywrjndrWpwP6pDQzXrnkCiC4zhxnikMueyB1DK267qo1uvYe+AADh8+PGyc0QeGhv0BQxRF5EdH47h24nX2f1VVMVqpIKfrqNfrMBsN7r27rot6o9HRe8/iJU1PT2NxYYFrw1uOgzCKmht4bNFYlEolTIyP87Z7yysrmascAXDVy24wdB0i0KR7D9A4OD2/iBBE2OBis9dIyk/ys0EQ8F6jyXFZkU880c2zvHnzJoIgwKFDhzrOnRt1QviCnooHIZmQjH0nxpAVBYIgwHFdntyvmyY36N2aqAAZ1BgTBt1xHIg0lq5RDf7k6L7vo1avY9fevTh8+HDPIaohYgwN+6cAZtyB9G22KEnYQZUiWTWqT/UwGOe9W1FJp4evVCohSBgVlxZ9AHGyMCLtk6+9QNd17Ny5E5VSCbZlxYlVWrzSdYeBhPfeAaIkQTMMIIpgOw4iEneqYj9JI97rLiQMQ0AQmrf9Ce+2aTxadGVZFj788EOce+yxjnNn1ZlALIzVyQtt+i4GwQCic920ECaonTZVTPSCAJqqotxGzbOXdnnMoNfq9ZhJQwuN8rT4qjUP4vs+1qpV7Ny9G8ePH99SmHC7Y2jYPyWIsoz8jh2bRY/ozS3LcszZpvFMldLImDfpOE5b750ZFBZSaTXSgiBgemoKCwsLCGhBlEK34Lz0GxsJ2GQHqF4hCAIqIyOYnJyELElYWV3FwtIS/CzeO5Mf6GKQZVmGIEmwHQdet3ZwPRjGMAwhJ416J88ZQBQEeP2NN3Ds6NH2Ta9BaYK0loAV8rSfbmIBaVN70AuYZjphP4lFPKIUUtfz4AUBREGArmmxwmbLHJlBz9J3l0QRHNvmBl2RZRQo26WdxEQYhlhbX8f0zAyODY36ljE07J8iJFlGfmws9ipbvG9REOLklCTBsW3kcjmUSiW+XQXAvR/TNNtWq7LCplYjMzU9jblEcrOdyl9S44PPsyWUkQWapmFqagqVchme42Bubi6TZg2ADeEwhkRugFDmj0HZPKZlbepWlXY+WRCGYbPR7fLZ995/H7lcDocTYlSt4bEgCGBaFgSAdw/qCnaN+/TW2eLArhUfhS1IUQTbtlGv1+G6LjRFiWUwNC3mr7coW/Zl0F0XClU4zeXzcVUqIanNrsMwxOrqKiZ27sSx48eHtMYBYGjYP2XIsozCjh1xsi5JTaTMmLxhIKDt4URKSWMFTqqiwPd91Ot1rK+vd6X+JR/OifFxrC0vw/e8thLB7cZISqwySmVrzLrdZ8vlMqanp6EqCtbW17MVNSWZMlGEkP60ClHlDAMCYtXCdkYw60LEtVEShrfTNbp9+zaWFhfx2LlzqQuAgI3mzQBQoDUM3UB68dITOQKw3Rb7UxRtGofx0eu08bVCGSm5fB4KLZaLwnCzt95tGi0GXWUGPZfj1zNNw53dOyurqxidnMSxY8dQ6JJ8HiIbhunmhwBZVZEfHYW5vIyQ8oUZ7U/TNLiuC8e2ocoyQMXCcrQLjeu6sGwbjuPAcRyoqop8Pt/k2SfBHihFUTA6Ooql5WXs2LGj5znzx5Eeg6n2cTAvO2GUmWFUFAXTU1NYX1/nxr1cKqFYLHbU6071xBOhI1mWY+14y4q149M8vYxGkh0rqeqYZhwBoFqt4oMPPsDFZ56BnMZqoaEz1/MgSxJyvTQqabdQtzBieCFQwjEQhXTGTBSGcGhzCiDuB6BrWtMiJkkSbNuGKIqZNduDIIDveVwSg3V5So7LFUvZzg+Je4kQLK+uYnRsDMePH+cN3IfYOoaG/SFBVlUYo6OwVldjr5s+mMyIV2s1OK4bd86hRkEURV527roubNuG67pYWVmJ9eDz+dhLam1Lh9gQTk5PY2FxERNbKPZIGu3WfMEm8aeWkEqxWISu61hZXUW1VoNpWRgbHYWaKKNnSb2k6p8IgJm7ZKgIiMvjNcq5lj0vtSdolqKZpExt4oOb3uf7Pl5//XWcOXMGxYQuUHL+pmUhDAKoqtrE/U7bXTV1JEr5G0GzIUyeE5sjK1BrRRaDziCLIoIwhCqKnRO7UQTP8+D5frwYCkKqQWeOCqsw5QsWifsRhEGAlbU1lEdGcPT48WF7uwFjaNgfIlRdhzg6CnN9nUsDiPTB0qnxVjVtk8Y4M/C6rvP2aZZpYpUazEI+HyfpWh606clJXL16dWAKiXycDoYz+WqEmNUyNjYGyzSxtraG+3NzKJVKqJTLEEQRQRBs4tUz49bq7THouh6HPWwbRUlKbefGPN52CLN0TSIEb731FiYmJrB79+7NY4RhnCQlZHM1KdmoykyKmQnUi2Xn08pQSpsNk9Nl/0+LWbuOA49eS1VVoatqexlgypoJgiBdM4jE1ame53HZC4km+xVFaVKATMbj2bzCMIRAz0sA4DoO1qtVjI6P4/DRoxgbG0uf1xB9Y2jYHzJkXUdxbAxWtYrAdeNmBACMXA6e78OmjQU4qHFgD5CqqlBVFcVCIVbdazRQrVZRq9VgGAaKxSJUVY2lBYpFCIiLn3RanMQewH6NfdJzBDrHtEUAIf1MvlCAYRhYXVtDvVbjDRRYn052HXhoJ8mYocYweR3y+XxcB2Cacb/Z1l1LC92vFVEYboRh2iwCV69dg+s4ePLJJzf9zXVd2K4LEbGWuizLfCeW5JAnWUhgMfEWGmI7EIBXZ6a9r9Wga8yTTusGlVgcACDwPESENBVMsVCL7/v8/RrN9aQtEizs0rSYJ75HIL73HNfFrv37cfDgQZRSdj1DbB1Dw/4ZgEgTqk6tBodWJRJCoOs6LMuC7/sbD1wbHjEL4eRyuVh3ptGARfutalSJTzcMjI+PY3FpCWNjY/wBHIQHn/Te2Ty7Jd2Y924aBlZWVrC2uop6tYpyudzEjGgyftSoh0EAQvW/2d8Mw4gLbBqNuE0h+7wgNBdgJQw3470HVK+E0w2pl88+u7i0hI+vXcPzL7zA28XFQ8UNIXzf5/H0pNxy8pqwsEuTcW9Bp0Q0UhLVTOvF832+29E0DZqqts1fiIKAqJVDHgQAzfc4jgM/GWqhFb/tQjR8bolzZefHXguDAOtra1B0HUdOnMDevXuHxUcPEEPD/hmCXipBVlWY6+uQCIGqKHAEAaZpolQqZdbLUFUVO0ZHUalU4uKmRiOOw8sy8rkc7s/N4djRo+nJVmxw2vsRmkoa+ORY7LVWRCQua5+anoZlWaitr/MYfKVU2pwQZUY3+S8Fa6DsOA5c1+VhBSFhEFurLwXEiwSADYNNNjr+CABs28abb76JJ558smnBiaKIU081TWtbpdlq0NlxRUnalCBuuu70+BELJSXew71pWi3LOOhqG4PeFPNG82LOVCY92g1JAA215HJQZLlts43kmGnfLaHnlgy9HDh0CJOTk0PtlweMoWH/jCEZmoHjIJ/Po1qtxoauQxEMsPmBlUQxZp8UCnGbvkYDqqahVq3i/v37KBaLUFQViizzHQH34hNe5VY8+uQ2vFX9j4mVCYgNE0v+WqaJWrWK5dVVyPU6KuVynESm8xJFEaC66a3+ra5pCMMQjuNAkiReYduxKjSROG19XxiGeP3NN3Ho0CFMTEzw15NUxnbqjGkGvfXaCKLIK0CTBpLH47Fx/cMwjHVyfD/ucISYcaR286bZfBLzCqleEGv0wgS59A6hFvrh5h1L+rs49bJerw9DLw8BQ8P+GQQPzdTrQK0WN8uo1+OGA5QimGYshDaxYZEqIxq0S9LE5CTu3buH3Xv2AJYFWZa5cVdkGbKi8ASkgA0vvl80efG0cIZx4ltnKwpxdWYun0ejXkej0cDy0hIUTUOlVOK5gU6yXDldR50WBhULhdTG1EkEdJFghj258Lz33ntQVRVHjhzh73ddl6ty5lPkAboZ9NbzDViuAHEeIrnLicIQHg21MFaNIsvQ6YKceoykJ00RhiECasiZJg5Aq3iFuIaiRLVh0sCToil89ORxWd4gGIZeHiqGhv0zDL1YhKyqwOoqQrrtNy0rpjRSw9H0YLf+nzEREnTJYrGIw4cP49XXXsOJkydBqOHwPQ++50GgrBxRFLmRZ7+z0ZvYKT2AGy5RjKtIO7xXFASUSiUUikU06nXU6nUsLS9z75SFB5qYOTRZyXrO1hsNNBqNmC/fxWOXWb/OKOLX66OPPsLqygouPvssN/iWZSEIAs6hbxf26OWayJK0odmDeMELWNw8USms6zpkRUkPY1AaIUMURdyI+0HAdwWiKELRNCiyHGsREcKLitKUJvmOq1POhCX06Xtsx0F1fR0jY2PD0MtDwtCwf8YhaxpK4+MQFSVO1FkWXFGEruuICEk38MBGDDnhJYN6ZjnDwMT4OBbm53Ho0KG46UYQwHddBGEYJ+EEAYHvQ/Q87s3K1KOXJCmVjpgVAp1fU5gGGyyXJJIGvl6roV6vo1arQVYUaJQRxM43GZqRJAmFfB4N00SDJlO53ndLAjIKQ6iK0jSfjz/+GHfv3sWzFy/GVZm+H8sR06T2VrRMNsX5qWH0PA8uVVkEYiOs6zpUWU4NjbSGWYIg4OEVFl5i3rhMNWBaqaBMnldOhOPY5wSaPEbiurQeP6IGXUBMGa3VavA8DzP79g1DLw8RQ8P+OYAoyyiNjcXJtoWFuPenKEJTVTBNF5F6qu14z0gYf0VRsGfPHrz77rs4cOBAnCiTZRi6jjAI4Po+p7+x7X8YhnGMl82JViiK9EeWZUiC0N2bF4TUhtycypicc/IaCLE8QbFUwtLiItarVSwsLkJXVRTL5Q3+NfVcSRRxNUGWQM4XCrERahOuYrubWzdv4vr167h48SIUVeWNpkVJQs4w+tIHbyqsop5tSD3qgMa7Pd+HIAh8wdrUySlx/YIwBAlDBPR7SRY/yTRWzgx5ux1EFEW8yYZMF49kNWu7BiPMoLPFmSWR16tV5ItFHD5+fBh6ecgYGvbPEQojIxBlGQuzs7AtCxINmwiIDQbr/tNqJBmS1ZqMM37v3r2mYhtJlpGTZcAw4sQaDdOwz7IFBIhj01FC94V59pIkQZJlLpWQ3IZnqQJNvjc5b3b8UqkEhRqiRqOBpaUlHhop5POQ2C6FeqvMc7dME/l8PtVrZ7Hme/fu4fLly3jm4kVIksSFy3Rdh6ZpfP5Zwi1NRpIyWdhPGIb8vCRJgqqqUKgxT44dscblURQvBInPAXHyVRbFmA0jSfFimzHs4dFm1qIoxjuWDt45O59Wg27bNmrVKjzfx+TOnTh15sxQGuAzgKFh/5whVyxieu9e3L91i8ePk4lOkvCGhYQGTRIqDans2rMH165dS62iBLAh38qMPC1WiRLbfIkuLDz+TmO2SLRbY0aeGZ4shr2JGpg0dNQjF0QRpXIZpWIRpmWhQZk0tVoNuqahkM/H4RK6+DG2jcmMe2JcQYjlHBYWFvDOO+/gwoULAGI1TVmSYORyTde4neHjYya48dyQtyQsNZorYAtKFEWwXRe+78fxdhoSS0Kk4TBZFCHRvEevsWumsAiAd6KSJSlVioGdT5M+DX3dtCzU19e5GuSjjz+O/Rl6vQ7x6WBo2D+H0PN5zBw4gLs3b6LeaKBYKsWedMv7SBTxDvRiwogJQtzrdGxsDJ9cv47FxUVMTkxsdKkHeCKMIanRHYYh9x5DGg5gYElXQRQ3ioBoqIFQz59pl4iJhUeiBo41YBBEMTXhKdJzESgDQ5QkFItFFItFeL4ftxQ0TSy7bly0ZRjI0249BIBtWbBsG3nDAL0gkGUZK6urePPNN3Hu3Lk45BVFXJen6ZqmfB8sh5E05OyasHNTKIWQnREhBK7vw3Hd2Jun14iNJ0lSLCeRCHn1U1fA55iYKwA4ngef9r1VU6pTk955EqZloV6tIogiyIKAHWNjOPPooyhVKn3PbYjBY2jYP6fQDAO7DhzAvRs3UKf6MGmxX5aoZIwLFqrRVBWuLGPvnj24eu0aJicmmpOawAanGs3hEBZuYT4e40WHiTBDlPA2JeoRssVHVVVO34uoRo7vOM0TZ3kBUeQhHRamCMMw9mjDEHIit6CpKtTRUVTKZTi2zROnDdPkImksEWrSWDYAmKaJN954AydPneL0xXwut6kwh+m8sHxDFIZx56YEhZB5xBLdVQCUTgkAYdiUMGUeN1sMFVWFJIrZNNs7gKCzHjdBvBtxPI+HmOikmkJHyWXEsqy4Vynt7DVaqaBcqeDQUD/9M4mhYf8cQ9N1zBw8iLlbt9AwTeiaBo0V8qS8vylUI8SNPSYnJvDJJ59gvVpFpSU22qkPapIJw5kXsgzm37LYcEANvpcIzURRhCCKIFEPXUlJ+jIjyXTSGeMDhMAPAli2jQibG4Ykwyu6YUBVVdi2Dcs00ajX49AMXSw06rW//vrrOHDgAHKGwY+1SoXZIqYHnzDKSSkGke0yWG6BGuYmw03fI2CjCKrV+w6iCGJL6KVXJKmJneD7ftwIg1IoW1k6DBHrVdpoIPA8SJKEysgI8kbutckAAA+aSURBVPk8cvk8Dh49OkyQfkYhdIl3bqUuZYhPCWEYYvHePTTW1uJ4cj7PwxjdqIiNRgMff/wxqvU6nr5wIfN2P3ljCNjQY+kkKsY83SAIYDsOZ/SQNpx2VpnJC7Koxx9GEcxGA5qmNVH0IkL7eDI+eOL3CIBHpY6Zt9poNHBvbg4z09OYnpqCQsXS2HEFAELCWIt01yDSfIHEFiRqqLmufo8hEwLAS3DNO6Fp5ET8O+sRCSFYW19HvV5HLp/fREeMaC9ZpvdPogiyKKJYKnH9ndGJCczs2dMXO2iIgaLt1z407F8g1NbXsXz/PsIgaBuaaTW6BECtWsXPf/ELHNi3DwcPH4638YkwTK/YJEtAt/XJm6m1V2kEbLRyS3jqEe3VGZHmfqz1eh2qovAdSjfw2DbiytHFxUV88vHH8HwfR48dg6HrUDQNhq7zpiaSJHX1fgeBiHLYmaHmuYUM3ndWEDpWo17H6vo6VFVFuVKBJIpcgsF2HLiOw8Nguq4jZxjI5XJxCE3XsefAgVQd+iEeCto+nsMl9wuEUqUCPZfD/L17aNTr0Kkw1SYIG5WEAuK2bWcfeQSvvfYaxicnUSoWNxU4AdmNPH9fizfJjTv1fIMo4kUwEiEglCbZJPLVCrKh6y2yWHgi/NJ03BbP2fE8eK6Ler2OO3fu4PSZM6iMjHCdcUEQuFyACNoMhcagmbgWZ4mkhS/YnFtzE60ePFvo6C4nStAnm+bcp1EniWvHY+U0ab1eq8USE4UCLNOEbdsxf56yjZghbwrRCALGJyexc/fuYQXp5wRDj/0LiCiKsLK8jNrSEgQA+URoJomk9x4EAa589BHu3L2L5194oa2+SrIIqn+OBvVSqVRsP2CqisWkVn0SNKQSRRFc2qaOEILZ2Vncv38fTzzxRFymT+PqpmnGCom5HHzP4x4soykKlOutaxp0w+CJ10EgqQPTD9j32K56F4iv9/35edQpHZR9RpIkGIYBI5dLbbKhGwZ279/f3BNgiM8KhqGY7QjTNLE0N4fAtpHP5Tq3PEMcg/75K68gXyjg0bNnO8aKWZFOU/FRj/PzadFNP7BtG57noVwub5ImYAbdcRwe4pAlCR999BFM08RTTz0VUzCDADnKaedqjYQgXyjwaxUEAVxq5D3HQcCaXgsC1yhv+knp4NQJESFwPa+na5dckFuNeUQIlxVI/ru6vg6b3geFfB6GYSBnGE1tCZMQBAETO3diaufOoZf+2cXQsG9X+L6P5aUlWNUqhCiCrutcyjYN1VoNL/3kJzhx6hT27N69wWvPeLy0kEK7z4aUOpjVW+VzEQQ4tg3btlEul5sMD4sX+1TjRtU0CADeeOMN6IaBxx9/HJIkoVarQZKkOEZPF6kwDNFoNBBG0WajR5+TIAzh2HbcS9TzYo+eaaokqnNFKhksyjIUGmJiKppsvqxhSBimNO1mh2XXko7N5HoZ791PFED59N/Wa+bQ2HmxVMLE5GTXZtWFYhEz+/YNaYyffQwN+3ZGFEW8iYVdr4ME/3979/rbxJWGAfzx2OPxZWacxAFSwrVa2CVst+2q1fYPr/ZTv7G06lbdZlFpWRWRoFZqQ0kc23O/7oc552TsOE6AtIXD85MQhMS3EJ45Ppf3zY76VS74+p9++gn/2d7Gxx9/jBWxwFY3E/Rz8/XzXye/pgGowlIQf5Z72HMR7PM7PoCTpxbSJIEnG5A0GkizDHEcI88yVUfHsix4vo8vPv8cV65exdbWVnWfolhVr9eDIef05fMtS3iiNoycdpl9Ucf/S+Ri9K9qv9T282dim2T9VmquXty2FO8C5MWhfpFY9JiFWExW/yriHUmrVna5LXqR+r6P8XgMy7IwHA4XfCehXrszGGBjc/Pk6S163TDYqQrJMAwxHo0QTCYo07RaGLSsY3PwX3/9NfwgwB1xAGVRSddXIRcWCxFk8vDPSTXl56VpitFoNNPhxzCMmYXOZ3t7+PdXX+Fv772Ha9eviwduIIkiBEEA13VnGklLJaBG5bLWDObegZQLbncSWTFTdj2So+1SXNRUuWHx/Bap//vI0sqyhv6iKbY8z1WbwJZpYm11dXHvUwCDwQCXLl+Gzd0ubxoGO82Kogjj0Qje4SEKGfDi5CNQBcNnn32G4YULuHb16kwRrPNUr/QotzXKj425MM2LQrWDy0T5gE63C8e2q+P3YoqhyHN8/+gRdnd28I9PPsH6+np1/2LKJRAjcncwUCNqYPbgEVBtiwxEsbXuCdtHpUV70NWiZu1iJas6yovDsmmYl5UkCXzfRxCGaLVaVaes+Qtzo2puvnHlChdG31wMdlosSRKMDw8x2d9HkSTVCFCMAtMkwb/u30ev28Wfbt2C0WyiXyuIdR7kqF19DMz0AZUt3JI0rcoU1KYdwjCE1elURb1EeD7b28M329tYGQzw/vvvo9PrzUz/lEWB8WSCtmmi2+8jE6Vy57cqyimgNE0RBAHyoqhuU9teKb5QBbiqr3ICeRir/vGr7IaZlxcFAt9HmqYIowgt00S/15upd1M2Ghi4Li5tbjLQ33wMdlouyzJMDg8xHo2QhqHa+dEA8N8HD5DnOba2tqoSr5aFzjmN3tUhJFSBLo/vZ3mOJI7V4mFLlLZtmaZ6V+FNpyjKEq7rIo5jPHjwAM/39/HhBx9gY2Nj5nHkCDnLMnji1GW73T7TiLksS9UgG8Cp2x3Vgqe4rbpYzV3Azmu0Lpt0hGGovndNw0BP1MaRdXYGq6sYXryIvm2fy+PSH47BTmeXJAn86RT+eIzI85DlOf736BFG4zHubm2ppgyObaMlgmP+J+zE5g5lVTRLFgCT88+5OPpfv31TzCPLsr/zZHmAw8NDPPzuO1y/dg137tw5sQcpIDoGJUlVF0fshFlkUc31LM+r0XuWqcNRy/qplqimmtTrqi2OymqQr3pxlKN0VYSsevJVOWfDQN91sba+jsHq6rm+06LXAoOdXk6eZQg9D97hIb7/9ls82d3F3bt30Ww2kWYZTNM86vaz4GepYRiQXY2KBeFt1BpDyJrt8633UJaQFSrrQbh/cIDtb74BAHz00UcnNnhQp0XLEmPRVq8vtvK9zKg5ThKEQYCyrNrkWaLBtnq6gFoMPolaNK2eoHqd5dxFQD1/HL3rkFsz4yhCJErvtlotZGmKAsDa6iqGly5hbTg8c8kFeiMx2OnVpXGMb7e38dWXX+LvH34Ix3EQxzGKoqj2hIsFzHJuygGYPdCkKiDONV8+9YdN3G8cx/jhhx+ws7OD69ev49atW2fqQSqnYfq2rRYTlwb7klotRVk1tk6TRO3GabXbgNjhsvRlnPa4SxRin34idtXI6opJmsIZDHDz3XdZG/3twWCn8/PkyRP889NPMXQc/Pn2baysriKOIuRFcazj0JmVJfJlP4tliV+fPcPO7i72fvkFG5cv46937yJOElU//fhNZkf4QRAgTVMMXFeF79LDQWIxddH/HjnlkWYZfHGoCahqzbcta+khILkP/UXMB7o8g1A2GnAGA1x65x2sDYfnvmuJXmsMdjpfeZ7j4cOH+OL+fbQNA3du38aFCxeQJMnMCN40zTPtSwcWj9qjMMTu06d4uruLZrOJGzdv4trVq2qk6nke8jyfnYYR0zayQbX8u/FkAtM0Z05UnmXkLE97AlDz2PMHp9I0RZIkVXco0dmpbVmwxEGho6d2dCDrNGVZIkvTqn56kgDA0alhw8DKcIj1ixfhOA7ror+dGOz02yjLEo8fP8b9e/cQ+z7+cvs23tnYqBpdF0V1rL/dPpqHX3ZfEIuNRYFf9vaws7uL57/+is3NTdy8cQMrq6vHKzZGUVVawHVh1O+/rGqwG2J+Oolj+EEApzYNU5Yl0jxf2G1I9fkUH8vXcur3oyiQiEYW8qJhttuwRGs8uUtmmSLPEYuSBfJx5RRX27IwEIFu12ra0FuJwU6/vR9//BH3793Ds59/xnBtDf1ut+rq1G6jI3qP1vdVx0kC3/PgeR6mngff9zGdTDCZTuG4Lm7euIErV64sDa88zzGZTNDtdtU8+6Kf6clkUp2ynDtdmYrDQqeRF50XmerIROcoOX0i68kbsnGH7LAkmnjEohFIJnYNQVwUrU4HZruNwdoahuvrsG2bO1wIYLDT72k8HuP58+c4ODjAwf4+RgcHOByN4E2nVTs2y0IcxzAaDdi2DddxYDsObNuGY9vo9Hpov0AJg+l0ilLsZweOB7usK9MXe9dnPnfGYJfyFwx3oBrFp3Jfvih8Jk/RZrLtHoCWacKyLPRsG47rotfvV4uyooBYp9NhpUWqY7DTH68sSxX6pmmiSBLEUYQsSaoyuKJ4lWEYVROOExYu50VxjDAI4Ljuwn3lcrTuOs6xUH7RYH+ZkTsAVcVS1ospUHUksjod9ERJhK5ociGbhROdgsFOr5+iKBDHMeI4hu95CD0PSRShyPOq9K2YpmiJ349VkJSnO8V0jAzHOjla7/X7C0+LvmiwA0eLp/USBOpzYlFVHsTK8hxZmlY7htptdHs99B0HzmAAy7LUFlGil8Bgp9dfKhYd4zhG4PtI4hhpHCPyfdXtp9lsotVswmg2Vdu+oqw6IGVZVp24FJ/LswxTz0Oj0YDrukd1zWsHgtLa6U95kEluI2wsWOhUH4s5cLnLpRCNumV99aIs0XNdmKaJTr+Pfr+vCqnJY/5Er4jBTm8eWQAs9H1Mx+OqI5BoI1eIMJW1zBsA/CBQ8/aNRgNhGAJAVbNd1ECfly3a7igCvX56VD1mreE2xIWl2WyiIRZDm6KmjbuyAtt11fw40W+AwU56KIpCtXwrxMJjLrYHhr6Pg4ODqquRCOx+v1/tZ5dhXNvG2EC1c2W+FnrDMKqSwSK4DcOAISpeygVO2RZPvYsQtdG5uEm/IwY7vR3iOEYURTPbCtWedDECr/8CoKZ06lMy9V/yfuQWRaLXBIOdiEgzJwY7hx9ERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmGOxERJphsBMRaYbBTkSkGQY7EZFmWqd8vvG7PAsiIjo3HLETEWmGwU5EpBkGOxGRZhjsRESaYbATEWmGwU5EpJn/A6X4Jc0qPZeMAAAAAElFTkSuQmCC\n", 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