{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Epidemics on Networks\n", "\n", "**Mathematics of Epidemics on Networks** by Kiss, Miller, and Simon (Springer, 2017).\n", "\n", "Github: https://github.com/springer-math/Mathematics-of-Epidemics-on-Networks\n", "\n", "Documentation: https://epidemicsonnetworks.readthedocs.io/en/latest/GettingStarted.html#quickstart-guide" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:01:55.471562Z", "start_time": "2019-06-16T08:01:54.368207Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import EoN" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T07:40:19.707954Z", "start_time": "2019-03-25T07:40:03.302597Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting EoN\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/81/4a/765f1cfa8d3a59fa14c772b4577ab70804ddc13c7521fbad00fc35b21795/EoN-1.0.3.tar.gz (65kB)\n", "\u001b[K 100% |████████████████████████████████| 71kB 12kB/s ta 0:00:0121\n", "\u001b[?25hRequirement already satisfied: networkx in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from EoN) (2.1)\n", "Requirement already satisfied: scipy in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from EoN) (1.1.0)\n", "Requirement already satisfied: matplotlib in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from EoN) (3.0.1)\n", "Requirement already satisfied: decorator>=4.1.0 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from networkx->EoN) (4.2.1)\n", "Requirement already satisfied: python-dateutil>=2.1 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from matplotlib->EoN) (2.6.1)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from matplotlib->EoN) (2.1.4)\n", "Requirement already satisfied: cycler>=0.10 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from matplotlib->EoN) (0.10.0)\n", "Requirement already satisfied: numpy>=1.10.0 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from matplotlib->EoN) (1.14.3)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from matplotlib->EoN) (1.0.1)\n", "Requirement already satisfied: six>=1.5 in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from python-dateutil>=2.1->matplotlib->EoN) (1.11.0)\n", "Requirement already satisfied: setuptools in /Users/datalab/Applications/anaconda/lib/python3.5/site-packages (from kiwisolver>=1.0.1->matplotlib->EoN) (39.1.0)\n", "Building wheels for collected packages: EoN\n", " Building wheel for EoN (setup.py) ... \u001b[?25ldone\n", "\u001b[?25h Stored in directory: /Users/datalab/Library/Caches/pip/wheels/23/9c/10/a6c8cb69ac884c10f1074deb30d3eddc137a2fd659c8becc11\n", "Successfully built EoN\n", "Installing collected packages: EoN\n", "Successfully installed EoN-1.0.3\n", "\u001b[33mYou are using pip version 19.0.2, however version 19.0.3 is available.\n", "You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n" ] } ], "source": [ "!pip install EoN" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# SIR Model" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:02:18.014149Z", "start_time": "2019-06-16T08:02:15.131936Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "N=10**5\n", "G=nx.barabasi_albert_graph(N, 5) #create a barabasi-albert graph" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:02:59.131228Z", "start_time": "2019-06-16T08:02:59.127257Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "tmax = 20\n", "iterations = 5 #run 5 simulations\n", "tau = 0.1 #transmission rate\n", "gamma = 1.0 #recovery rate\n", "rho = 0.005 #random fraction initially infected" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:04:06.595079Z", "start_time": "2019-06-16T08:03:49.560722Z" }, "code_folding": [], "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simulations and Models\n", "for counter in range(iterations): #run simulations\n", " t, S, I, R = EoN.fast_SIR(G, tau, gamma, rho=rho, tmax = tmax)\n", " if counter == 0:\n", " plt.plot(t, I, color = 'k', alpha=0.3, label='Simulation')\n", " plt.plot(t, I, color = 'k', alpha=0.3)\n", "# plot the Pref mix EBCM\n", "t, S, I, R = EoN.EBCM_pref_mix_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, label = 'Pref mix EBCM', linewidth=5, dashes=[4, 2, 1, 2, 1, 2])\n", "plt.xlabel('$t$')\n", "plt.ylabel('Number infected')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now compare with ODE predictions. \n", "\n", "- Read in the degree distribution of G\n", "- use rho to initialize the various model equations.\n", "- There are versions of these functions that allow you to specify the initial conditions rather than starting from a graph.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:05:45.035641Z", "start_time": "2019-06-16T08:05:34.817697Z" }, "code_folding": [ 0 ], "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#we expect a homogeneous model to perform poorly because the degree\n", "#distribution is very heterogeneous\n", "t, S, I, R = EoN.SIR_homogeneous_pairwise_from_graph(G, tau, gamma, rho=rho, tmax = tmax)\n", "plt.plot(t, I, '-.', label = 'Homogeneous pairwise', linewidth = 5)\n", "#meanfield models will generally overestimate SIR growth because they\n", "#treat partnerships as constantly changing.\n", "t, S, I, R = EoN.SIR_heterogeneous_meanfield_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, ':', label = 'Heterogeneous meanfield', linewidth = 5)\n", "#The EBCM model does not account for degree correlations or clustering\n", "t, S, I, R = EoN.EBCM_from_graph(G, tau, gamma, rho=rho, tmax = tmax)\n", "plt.plot(t, I, '--', label = 'EBCM approximation', linewidth = 5)\n", "#the preferential mixing model captures degree correlations.\n", "t, S, I, R = EoN.EBCM_pref_mix_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, label = 'Pref mix EBCM', linewidth=5, dashes=[4, 2, 1, 2, 1, 2])\n", "plt.xlabel('$t$')\n", "plt.ylabel('Number infected')\n", "plt.legend();\n", "# plt.savefig('SIR_BA_model_vs_sim.png')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The preferential mixing version of the EBCM approach provides the best approximation to the (gray) simulated epidemics. \n", "\n", "We now move on to SIS epidemics:\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# SIS" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:06:20.177716Z", "start_time": "2019-06-16T08:06:19.779412Z" }, "code_folding": [], "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "#Now run for SIS. \n", "# Simulation is much slower so need smaller network\n", "N=10**4\n", "G=nx.barabasi_albert_graph(N, 5) #create a barabasi-albert graph" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:07:12.895362Z", "start_time": "2019-06-16T08:07:03.742862Z" }, "code_folding": [], "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulations\n", "for counter in range(iterations):\n", " t, S, I = EoN.fast_SIS(G, tau, gamma, rho=rho, tmax = tmax)\n", " if counter == 0:\n", " plt.plot(t, I, color = 'k', alpha=0.3, label='Simulation')\n", " plt.plot(t, I, color = 'r', alpha=0.3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now compare with ODE predictions. \n", "- Read in the degree distribution of G\n", "- and use rho to initialize the various model equations.\n", "- There are versions of these functions that allow you to specify the initial conditions rather than starting from a graph.\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T07:45:34.840469Z", "start_time": "2019-03-25T07:45:34.404697Z" }, "code_folding": [ 0 ], "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#we expect a homogeneous model to perform poorly because the degree\n", "#distribution is very heterogeneous\n", "\n", "t, S, I = EoN.SIS_homogeneous_pairwise_from_graph(G, tau, gamma, rho=rho, tmax = tmax)\n", "plt.plot(t, I, '-.', label = 'Homogeneous pairwise', linewidth = 5)\n", "\n", "t, S, I = EoN.SIS_heterogeneous_meanfield_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, ':', label = 'Heterogeneous meanfield', linewidth = 5)\n", "\n", "t, S, I = EoN.SIS_compact_pairwise_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, '--', label = 'Compact pairwise', linewidth = 5)\n", "\n", "plt.xlabel('$t$')\n", "plt.ylabel('Number infected')\n", "plt.legend();\n", "\n", "#plt.savefig('SIS_BA_model_vs_sim.png')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T07:58:09.932328Z", "start_time": "2019-03-25T07:57:59.713638Z" }, "code_folding": [ 0 ], "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Which model is better?\n", "for counter in range(iterations):\n", " t, S, I = EoN.fast_SIS(G, tau, gamma, rho=rho, tmax = tmax)\n", " if counter == 0:\n", " plt.plot(t, I, color = 'k', alpha=0.3, label='Simulation')\n", " plt.plot(t, I, color = 'k', alpha=0.3)\n", "t, S, I = EoN.SIS_heterogeneous_meanfield_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, ':', label = 'Heterogeneous meanfield', linewidth = 5)\n", "t, S, I = EoN.SIS_compact_pairwise_from_graph(G, tau, gamma, rho=rho, tmax=tmax)\n", "plt.plot(t, I, '--', label = 'Compact pairwise', linewidth = 5)\n", "plt.xlabel('$t$')\n", "plt.ylabel('Number infected')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Visualizing disease spread in a lattice network" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## SIS" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-06-16T08:08:24.221683Z", "start_time": "2019-06-16T08:08:23.907225Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "#each node is (u,v) where 0<=u,v<=99\n", "G = nx.grid_2d_graph(100,100) \n", "#we'll initially infect those near the middle\n", "initial_infections = [(u,v) for (u,v) in G if 45" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim.display(0, node_size = 4); #display time 6\n", "#plt.savefig('SIS_2dgrid.png')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T08:22:58.111842Z", "start_time": "2019-03-25T08:22:55.948692Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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3V+ZppOZTfnIaBoSx45mZ4zmf8pV5oqgomIHgUNWnOfo8mX0KYfO0ZZH1PDGfnICkvu4kNk8V+jxtWaz4RAg2lJZrBC5qoH7xMKT/AO14UL9+2vHAcPZhrxdPHMKi//sD8p7diYWv/C9ePadshOSlCAsKVo69CHUqi2IeL4IldhzqdGr517CgYDglCZ9+8CHeeuUf+Oijj/Dpp5/iH//4B+Lj4y3exYS+Kho7JAbfHDcF3rV3oPmm74Cu2wF57R24eOO/45PFt+D6kekAgJ37P/K5OE7oN9Dw9e4LZ7Dq9ecw8n9/hrxndyHisfsw9S+PYt5LT2HRK7/D6tefQ9Lv/hsxT9yPtN//HHftfg2dHs81+12FhIQuX9eQIAdARo+fBYZ2Q/wOHtcJskqyJIVkpY8EQBSSlcjI0uHjjHDZEGS4PcBpjoyevQAkDGd07sJFRtNcbqCxmRE/t4cRusiB7Oe0K8TPKwNdLkaCZRlwe4EQf8SvAwgJ8U+QL4WMJgxnP8fHp3hA4sgoCDu2IqNWPpkJspVPbg+gktFAffJ4uyHtNj4ZyKjJp6jByorEGXYuPBkNCgKO+CHI2jwdYTQUsPdJJe1uD/s7GRUPuN3sHHxIu595amljrwGvF2jrZL+XgSAH4FNbBxAa0jPSrhLk42eAod34ZPe64+dJJciyzHz1M08vZvsjyB72/ApBfvFMLe7b8wY6vV7tvSXU4cDtE2Zgflwye5yk0GSKgAjy//31Rfz1d3/A6y+/4vc9TBDk3lNvbTXtlVk+/r26k8iPiQOBMcv4Sf1Z7Gu8gE/qz+JoSyP6BwWjRmnkUJUdOQw1TfVo97h9fj4BcGL5rYiNYP8plCnF/sYLeOvscZQkpGq3C3051FcI8r333ounn37aZ0VsypQpeOedd67Ic/Tr1w+tra229zc2NuLpp5/Gxo0btduu5POrOnPmDG699VYcOnQIzc3NiI2Nxauvvmr52D5LkAeHhCLCGexDRudlTzQQ5BDl9uVFszTit7rYiiADW8qXMMoHjmQR4LalCvGTGBmVHE7AIRlJVvkSjowy4genhDXzVDJKsEIjowQVBQoZBVCSk8+OvbJORl0uFKSMZscdnZgQm6AQv1akRw/TCXL/wRwZVQhyXCKGKJRv8qg0DFQJ8liV+DHKqPnEkVGeIN881+ST4s0WnrRXLoMUbCKjEiOjjCBLRoJcXuXrkyRhzdyFuk8zOYKskHbwZNTrxcxM1Sc3CpI5n+IUMtrSxvnUjJEDLXyKHan7lMz7NE7zaUEu59OUGdqKxPLCOfo8zS1lPqEbgqzM063VK0GcDl+fKow+SZIEOJ3cPDmwuriEm6c52jwtVggyAKNPGSppdyGfI+3jVdLe3Ia0yBidIFv4NCFen6f8lHT0V15T13HztCB3ksknZZ6K5nDzZOPTYs6niqW6T1XLDa874pAU0q77tLmMe92VlDGf4I8g6xnQgeEReHjvB4aLYwDo9Hrx8N4PAMoTZBmhTqXv0oYghwcHwyk5kF9UiLrTp5GWloaNGzfi9ddfh5AQADgkCRIhmDI0HhIhPpnj8ZHDsDQ5Ez/Im43fzarEzhnX442Fq0HX7dD+fLR4A9pW34721bfjj7OXIHNwjPb9FEDc0z8F2XkXIh67D45dd2PsHx/GhrdeQNzTP0Xoo/+JmCfu1/qihYS607vvvosXXnjBckXsSl+c+lNjYyMefvhhw21X4/lvuOEGlJeX48MPP8SBAwfw4IMPXvHnAHqLIPMkqzuCrJKshGEsi3joODByBPs5dgS5phYYnchlIZOuMEFuZTSXJ6OyDHR0AREK8XN72O8UUAa5h9lafz71hLSbyWhaIqOYR0/5J8guhYxaEeSGJkYjfcjolSDInE/+CLLm06WQ0XjOp0RrnwIl7f584km7lU+yDHTa+AQEkNUOZa8XwzyZMsiX41NyPHuumlpTBjmRrdwc8j9PPSHIeS88Bqt3KQLgX4vWXhJBBiGQKEXz3oN49dVX8etf/xo//OEPsWrVKsNzCILce3r88ccBwOfv5MsqSim+uHges/72W8smjckxsXi/7pTP7R+Vr0d21HB4ZBkSIZDEhwT7lPoCQf7Tn/6Exx57DM8//7zPfSr1ra2txbx585Cfn4933nkHkyZNwurVq7Fjxw7U1dXhqaeeQkxMDEpLS/H5558DAB544AG0trbizjvvNPyssrIynDhxAp2dndi2bRvWr18PAFi6dCmee+45pKenY86cObj//vu17/nJT36CRx99FACwdu1abN++HbW1tZg/fz6mTZuGd955B7GxsXjuuecYyLGR1+tFSEgITp48iWHDhnXrzZeQIE/Ss7X50zUyuqxoFpeFXKCRrA1aFhLYvKhSo1pG4recHUsEt1Yt14jftorlHEHWyegGjiCvnqsTv+Ua8ePIKKBna71eFI1VMqNuN/JVMtpuJH7pMcPZ8UVrMjouNkHJjMrIT05XMsgyCjPGcQR5koEgaxnkmWq21uxTmebNZo60b+N9qlqh+XRb9QqOIC+F5HAADgej9GpWW/XJwfnkkLBipgUZpRTzOZ/0DLJLz9Z2dGCcDWk3+tQfkGVG2lWfUtL1rPZYYwY5VKHGRp+4bG1xqXGeNJ+qLEi7sgoR5Evat/JklPNpQ2mZRtq1rLZDwnLepwLOp2zVJxlFYyx8ajf6ZMggaysSwzA0vL82T0MM86RkkMdyGeTcydrrbvEU3acVM+do88QTZINPZdw8VahZbYLbqpazDDJhrztt5YabJ6NP5ZA0gqznOg0EOcJIkIeG6ZlkXkPD+gEyRViwTpBD/GaQqUKQ2dteeHAIioqKcNddd+Ghhx7CM888Y/k8Qr2jVatWfWUujgEW08gcEoNzK/8NnjXfx6MzrsdtWfl4S6HP7y1ai47V/4GfFczFxgz93+6cP/8PyM67EPTIPXDsulvU1PVhbX/3JRS98PgV/bP93Ze6fd7i4mKcOHGi2xWxQ4cO4Zvf/Cb279+P/fv34+mnn8Zbb72FBx54APfdd1/Av+ejjz6K3bt348MPP8SDDz6I+npWC/rDH/4QycnJ2LNnD+6//37t8bt378Zjjz2G999/H++99x527tyJjz/+GABw8OBBbNq0CV988QUGDRpkeB9esGABTp8+bXhuh8OB2bNnY/z48diwYQPefvvtgM+7p7rqBDnhf38KtyzbZ5C7I6PdZpBV4lfL6BWB3s4gU/bpe0uCfBoYlRBYttblZu0MZjLqUYjfQIWMdnIEuVviF0gG2dw6oGZrLyWD3E1W25b4cT6dPMd+pr8MshVBNmeQe+STTdtHIASZ9+noKSA2JvB5ukQyasggu9zAuXqbFYkWdm52We1LyiAHswYO2xUJm3myIsgBz9MRX9Ku+tSbGWSeGlsQ5NrDhxHscOL6vCkAgO9973tobGzEQw89ZHgPEwS593ThAuvljoqK6uUz6R15ZRn37XkTdyh1k6qS+g/CO9evwbBw6/84Cl1b8e8R2999Sdtu/UppQuQw/KxgXreP83q9ePPNN31WxHiCPGfOHBw8eBAAcOONN2Lu3LlYsWIFjhw5gsWLF+PZZ58NiCDfeeed+POf/wwAqK2txcsvv4z8/HzU1tYavl/9nnvvvRf19fW4++67AQDf//73ER0djeuvv95wTj/60Y/gdrvxve99z+/vSinF22+/jb/85S/45S9/iSeeeAJlZWWWj+3TBDnMwf5R51ss5k3QCXJZwXSNZPEEeZWhnWGRDRldqhG/W6sVkgX2aXqdZJmJn0MhWYsZyZIk3FysZ5B14ged+AGYnztZy9lqxM/lQkGqnq0dH6+2M7TpxO9is9Y6YGxnGIkhCjXWWyxkFI7J4gjyZI2MlhfM4No+ZukEmc9ql5RpNHRzWaV2vM2cGVXJKOfTNhPx40m76tPqud34RCnm8dlajrRPVts+2o0+pUbqZDShv5VPCbpPKWnor+RmCzOyEM6Rdr3tg8tqF/GkvdSi7QPYXF5pzLSr86S2MxDjPNn5tL5E8cnp4Ei7w3ae5mVP4lYk9Kz25BS9FUVbkWhpQyqXQU5QSXv0MAxVfYpTs9oyJqekcz7pKxLzcvRWlIophXpWmyPtqwzZf26eypfYzNMKbuVGWZGQJGzjXnebyvh5KtMIcmQABHlAeATmx6fg9vHTMCK8HwiAYWERuDt3JubHp7AMshVB9vIEOcjQYuGQJHS0tWHH5m3IyMjAuHHjsHfvXu0fAaG+ocrKSlRWVvb2afSaHJKE7+cU4uX5K3Fy+a2g63Zg5/SFONrSiOFP/Rjpf3gInR4PmlydvX2qQop+VjAPr5WuuqJ/Ark4BhhZ7W5FLERZiQcASZK0ryVJgsfjgdPphKzCKrBdAs167bXX8I9//APvvvsuPvnkE2RnZ1s+LlDx5+RwOOAJoO2FEIJp06bhv/7rv7B06VJ8+umnl/z8fp+n1zPI3bUzBCkkayRHshK7yyDzmdFjQFqSL/E7doblKC+FjFplkL0y0MURP77F4oq1M/hpHQioxYIj7YAvGTUTP7eHPVdyAiOjp+r8+2RH2v1lkLvNal/hDHKPyGgS86kHZNQwT34Jsl2LRTdZba/MaKiZtNsR5PpG9vOCnOxcBneTQe4pabfKal/hDLLfHmRKL4kggxAESRLGR/rPsAmC3HvqrRaLvq4bXv0znjxkvCBYmpyJX04twaCQ0F46q6+v+kIGuaamBpIkITU1FYBxRYwnyDzdXbVqFUpLS1FZWand9/HHH2P48OGoqalBv379UFhYiHnz5hkI8lNPPYVdu3bh+eefx/79+zFhwgS89NJLKCoqQn19PXJycnDs2DHt3Pr164c33ngDq1atwnvvvQdKKSZPnownnngCgwcP9kusrfTyyy9j5syZCA4ORl1dHQoLC/Hoo4+ioKDA8vF9miCHO9nFT+HYcQbiF2ZFkDkyqhFkGEnWpjI9g7yVJ1l8Brl6BaN8RMK2yuU68eNI1vqFembUTEYlEN/MKJ+tzeQzyGq2ttNA/IwEeRAgy0iJjNGytTxBzkvmyOhYnYzOzdZ9Kud6a5cVzbYh7bxPFXAE66TdoZF2ezKqET+VtDud2LBwsUZGV3FZ7WVFs7VrjnKejKo+ybJORruMPunZ2jakqVltnxYLxScugzyZz2qP5QmyTQa5yIaM8qS9vNLgkzpP23mCrPYg+/hUya1ILNJJ+7xS9kEahwPLCjmfDC0Wk/UMMtdiMdkwTyMt5qkJCf3ZPKVx8zRea7FgGWSeIIdzBDnEzicDaQ/xaY/ZVFbJ6DqMKze3Va80ve5Un5Zxr7tKS4IcSAZ5gNKDDEpZM4dyHKFSB9nYYuFLkKkhgxymtFgAFCEOB3pDhJBthJDPCSFfEEK2K7f9nhCyR/lTSwjZo9yeSAjp4O77FfdzcgkhnxFCDhFCHiRii7evhZ6YWY7Om//DcNvvDn+Owb/9kbal9l27X0Or29VLZyh0rdXa2oqbbrrpslfEgoKCcMcddyAvLw9z5szB6NGjfR4zb948eDwejBkzBt/5zneQn5+v3RcZGYmpU6ciMzMT3/rWt7Tbc3JysGrVKuTl5WHy5MlYu3YtsrOzuz0fqwzyH//4R4wZMwbjx49HaWkp7rnnHtuL48tV72SQbT9NH0g7wzEgKU4hWUeBlJHdED+FIMsyI2JpIxWCfJqRUX8E+fxFRtN8CDKXGeUzyAaCHEiLRVDPMqOBtA5oZJT3qTaAzKgdabfwya6dwUyQVdLu9QKtNj5daotFQG0fAbYzWK5I+MnWXm7bRyC92nYtFl5l+avbeVJaLHiC3JMMclAQ6xBPGB4AQVZfd7WsPcZA2r3AkatBkGX2uxp20jMRZMCXJvcyQSaEZAL4HYA8AC4ALwG4hVJ6iHvMjwE0UUrvJoQkAniBUppp8bP+BWArgPcB/A3Ag5TSF/09vyDIXz19eP40Jj270/K++IgBeGZOFXKjRuBiVweGhISJrbKvsPoCQRayV58myGGSE5BlzOCytXOzJ2nEryxfJ8hLOYJ8E0eQ13OZ0Y3lVRzxW8YRv5UcGeWJ33Klm5Vg8+Iqnfgt5LO1JYz4mbK15QXTdYLMZWuLVILs4nY+6+jEuFiu39enxUKBBvNKAAAgAElEQVRGatRQpXVARtaIeAwJ76eTUYX48T7xmdEyjvjxBPkmlYyCYn0JT5CXWPtUrWdGt1cbM6OWGeSFxgyypLYzFM1hw0OIgYzO5XwqHKvvEDeZ8ylL2yGOI6MNzUhQSfuQaCVbK2NcrJEgW2WQ5xkyyNONPoWZCLJpnjaVL9GODW0fnE8GMlqhZ5A38T6VcAS5uAQSYbcvK5qt+2TIIFvMk9uNPG1nxk5kcaRdyyBfbEbCADZPaVFDMVSZoazYBI0g52ktFjKKMicgXPFsXrZO2svzpyM4NETxiSPtc3SfNiwsN/pksSJheN1VW61ISNhYXqG/7krsMsg6NbYmyDARZGUp2WtHkGUEO1SCHGQgyA7lYjq4dwjyGADvU0rbKaUeAK8DWKzeqVDgKgD/6++HEEKGAxhAKX2PMsrxWwDWn1IR+kprYvQI0HU70HDjt3Fy+a1YNzpHu+9EWzPynt0Fx667EfXE/ZB23Q2y8y58Un8W/R//Aa574TdY/PffY+/F8/Bw2VMhIaG+kEE+VQdEW5EscwZZ6UE2kKyjjG46/GUheTJ6EkjlCbLSg6xma82ZUZUg25FRf+0MAWVr1cxoD3eIs8qMdkdG1d5aPoNsR9r5bO2xM0ByHMtUd9cXzZN2jwdo4nwKpO2jJ33Rgfo0LJJ5w2eQ1S5tfzsO+mTaR7FztCPIaqY9kF5tf33RBtLegwwyP09NrUCERQ9yTzPIh0zZ/6RY9vMP1FqQdigEuRvSrqxIXBOC3AczyISQMQCeA1AAoAPAPwF8SCndotw/A8BP1J+vEOQvABwA0Azge5TSNwkhEwH8kFI6W3ncdAD/TikttXjO9QDWA0BCQkIunw/sy/r9738PAKiuru7lM/lyyiPLGPbkA6jv6gj4e1alTcAvp5Yg/LF78Z0J05A5OAZliaPR5OrE8PD+3f+Ar6EEQe7b6tMEWcsgZ2QhQiFZxRNyNeK3qEAnWUsN2dr5GslaV7pI60HexGVGt1YsY8SUEJYZ5cioSrK2cmR0k9bHqrYzOLTWAUb8HAoZJQoZnc6OwbK1EgDIMmZmTmDHfDuDIYPcjlS135cjyGkGgswTv1Rl5zMZM8bqPs3NnqiTdrNPFqR9nYG061ntbRVLNZ/4dobtJtIuOdTWgQrNp/WlZYpPElYV66R9qZZBJijjSLvWYuHxGn3iSTuXrU21IMhpZtKuZbXTDVltg08qac83+RTCE2QuW6uSdj6DXKGSUWA71/axXc20m0j7Jq4VZX3pImVXPTufjCsSc3MmafNUmJFlQ9oTfDPIjc1aBjk1MkYn7XxWO4UjyNyOg/Ny/axIqKR9ru7T+tJFmk8by5VWFMJltcGvSEgGgryVJ+1llaZ5UjPI/E563RFkcwZZIcgBZJBD+AxykNqD3DsEmVK6D8CPALwCFq/YA4DfJnAZjPT4DIAESmk2gNsAPE0I6dFexJTS/6GUTqSUToyOjr6s87+Wqq6uFhfHlyGnJOHCjd/GqeW34ffXVYKu2wHPmu/jvknXaY/5TWEZSuJTta8fP7AHYY/dCwrgB3vewopX/4SIx+7DiKd+ArLzLlT8/Q94/UwtPjx/Gv+y2NTk66qegEaha6fL/XvpJYIcSLbWTw9yYiwQ1F22ViV+PSDIKvGLH8aOA8ogt7NOZzuCbJsZ5QnyFdohzm9m9HIyyPHs2JxBVn3qLoMcCGm388m2nYHzqSdkNMipkPbhRtLudFqTUUKAfUeBMSaCHAhp9+eTmkH2eIAmZZ7MBLk7n7pc7HcwZ5CbWtn3BdKDHORk7TE+8+QEDp/0Jcg+pJ2fp1pjBlnz6QR73bmVXu3keLyYPe/KEGR/LRaAL03uYy0WhJD7AJyklD5MCHECOAUgl1J60ubxrwH4N+Vxr1JKRyu3LwNQRCnd4O/5vkwZ5BMnTgCAtmWu0JWTTKnPjnzn2lsx7KkfAwCiQsNxobO9259Ts2Qz0gZFXpVz/LLo6NGj6N+/PyIjI0W+uw+JUor6+nq0tLQgKSnJcF+g7+FX9QK5y+tBzBMPoLmrAzNGJGL3hTNoc3VhbnwqXj97DJ1uFxYljcFLJw6hy+NGdXIW/lS7D26vBzemTcDThz+Dx+vFujET8eiBj+H1erFxbB5+vX83vF4vtmbm46G9H0D2erF93BQ8uPd95bgAD37+L8heL7Zl5ePnymM2Zebhl/s+hOz1YsOYSdh54GPIXg9Wpefgt4c+gez2YFn6ePz+yF7IbjfKkjPx3PH9oC435iWm45XTRyB3ulCUyM6fdnRickIyPjh/GnJbG7JiR+LzxvOgTS1Ii0/EweZ60PpGJCQk4HhLI1IHRaHZ3YVzbS3IGjIUpzpa0dDRhkkxcahpqkdzVwcKRyThwwunfXwqS8rA304chMvk06r0CXjy0OfweD1YlzERj9ZwPu3bDa9s9GnbuAL8fO+/jD6ZHrNpbB5+uZ/5tD5jEnbVfATZ48XqMTn4zcFPIXs8WJo2Dn848gVktwdlyWPxl+MHILtcmDdqNF45eRhyF/PpjTPHIHd0Ii9hFD44fxq0tR3j4hPx2cU60OZWpMUl4GBzg8GnlIGRaPG4cK6tBeMih+FEWzMudrYjb2gc9jVeQEtXJ2YoPrW7ujA3PgWvnz3u49PSlCw8U7sPbo8HN6Vl46nDnzGfbOZpW1Y+fv7FB7o3X/zL53hrVj4eUvzbmDkZv9q3G7LXi3UZuXikZg9krwc3jc7BEwaf2DyVp4zFc8eYT8Wj0vH3k0dAO12YkZiCN88eN85Taxuy4vR5So0fiUOKT/HxCTjR2ojUgZFocrtQ196CrMhhONnejIsd7cgbGo99jefR0tWJwhFJ+EDxaV5CKl47XYtOjxuLEsfgxZMH4fJ4mE9H1XnKwZOHPoXH68GG0ROx6yDzadPYPPyKm6df7PsAXrNPWcqxNk+KT1mT8au9ik9jJ+KR/R/jr+PnIH3MaNR3dgCUYkhoGBq6OgFKMSgkDI0udjwgJBTNri5GkIND0OJ2AbKMiOAQtHncgCwjLCgYHV4P4PUiJDgYXV4v20kvOBgu2YNQhxMeSuGRvQhzBMEle+GlMmYkpaG91f+uZFfjApkQEkMprSOEJICR5HxKaSMhZB6A71JKC7nHRgNooJR6CSGjALwJIItS2mDxIb2fU0r/5u+5v0wXyOJDer0vr8y2t5YpxT9PH8XcF5+0fNz5G76Fez9+Az/7/H0crt6KUQMGX+Mz7T253W6cPHnysrqAha6OQkNDERcXhyBlxVNVn7hAPtfeinjLFovLaR04BiQq7QwH/LVYKMTv4DF2u2WLhUpGz7LGB5eaGe2OIHNktLWd/S5eGejsBCLCe05GAyV+kYP0nfSsMsiH+WztMUYxnU7mU3ICey7VJwIjGQ3IJ67t48x5RqvNPtU3sdyv2Sdb0q70RQfczmDR78v7dOqcccdBW5+GK5l2bp5qjjKCrGXaFZ/225D2IyetfTLvzOhvRaKnWW07guwzT920WKjZ/yCnktWOsiDIJ/QViQPHFILMz5OVT6Z5Mq/cHD+ttFgESJA9XiDIiSEvvozYh3+N4Lo6uIbG4NQt69GwYN5lEeQZSam9dYH8JoBIAG4At1FK/6nc/jiA9yilfJVbBYC7lcfKAHZQSp9X7psI4HEAYQBeBLCFdvOGLi6Qha6Udux+FXd/9Ibfxxxbth0J/Qb6fYyQ0LVWn8ggDwoJRZiDtVhMH5OFcCVPOyd7IkLDQvUMspKFrOaykDfOWcCykKBYV8K1DpRVwRHKspBbK5ZpWchtVcu5bC2fGVWztRK+wfXWri8tZ7lIScKq4lKtdWDpzNls6YkQlE1RM6OykkEmSv6V2yEudTS7vbML4/gMMpcZjed6kGOUbG1mbLyWGc1LScMANYOcoftUnD2Jy2pPYz5RiqWFelb7RjVbC4q1paYWi9AQgABbKpdq+VEtgwxjtpZltU09yA4H1pWWaT7dpLZ9EIKlM+cwz/isNpUx1+STBAK4PZicovuUpWWQ25EabecTa2fIHBGPwUqedlIy59PYcZpPc7MnGbK1mk+Gtg9unkrL9Ux72RJ9npZwmfZq3adbbTPtVVy2lp8nzqei2ZpPZQW6T8VqBtnD++TGpJQ0PYPM+xQVo2eQVZ+ihmrzlBU3UvMpLzkN/bW+6PEmn7jXnZI1Xsq1WOitKMB6c4uFMk989v/Wan6elnPzpGeQN5bp2f/1Jco8AYgcEECLRUQEhrz0Ckb+4EcIOXcOhFKEnD2HxB/ejyEvvcJ20uMzyA7fFosQp1PrPuZbLHpLlNLplNIMSul49eJYuX0Vf3Gs3PYMpXQspXQCpTRHvThW7vuQUppJKU2mlG7u7uJYSOhK6q7cmaDrdmD0IH0r8OGm7a9H/u/PQHbehXs/fgOn2pqv9SkKCV2Weokg25AsS+JnIlnmHmSejKYlMjrkQ5AT9Z3PzMTPrRA/NVt7liejDUDsUP/Z2kvNINtla7trHTCTUTPx4wmyj09+yGhPfeKztVY++ZBRG596QkZtd4i7AAwe2DOCbDVP+zmCvO8oy9OCsNu1DPIxP73aaotFnXUGWfXJL0HmfLJrsbDyydBi0cJWMnwy7abXXdQgru0jyr9PB44Boyz6x/cdYTNkuyKhkPZLzSB7vMiqqELI2XM+7y9dw4bis+eeCYwgq8d9gCD3pgRBFrraOtp8ERRA9p9+jWZ3l+E+79o7fLLPQkLXWn2PIGfo/b5zJkw0klGFZFXP0HuQb5y7QCNZa/l2Bq7fd2vlMo2Mbq9aASmYtQ5sqzKTUScjWYuXmAiy0s4wl+utNZDRQr3FIseKjLo5Msq3M3AtFk0tGhlNHhKttzNwxG/SqDRth7jpXL9vMU/88qcZyaiBtDOf1nEEmfdpi7ntgyfITp6MOrUeZI34LbT2yUhGZ2g+zc2exI69nE8uN/JS0i19Son0JaOp0cN0n2LNZJQjyKpPOXm+KxKUsn7fMCuCbDFP1IIgW7RYbK1Yph3zBHmd1vbhwE3FC4w9yIpPiwpmsBecRpCJD0HOS9Z9yhoRr7VY8D7Fcz7FaD3IvE982wdH2idwpH0K59PMOZak3UiQq3SfKpbBobZYLOXmaam1T4wgsxnSViTgjyDrFGpARASCz9VZvr8En6vzJcgWPcghTiecDr3ForcJspDQV1lJAwZj1IDBaFr1HZxZ8U3DfY5dd+OzhnNY+eqf8N+fv4eLXR2glOLnn7+P2X/9Leo6/P+HVUjoWqr3CXKPs7V864BFBtmSjF5qtranBNkug0wZ2bPL1tplkHmCHAgZPXIcSLDJIPM+qaR9v5n4JRoJMkf8Am77sMsgX+kWC38+RQ/pfkXCkNXmyGgqR0bTLXzSCLKXtTxc7jx5lFYUqx7kS/WJJ8gGn3jSHuDKjerTAY60HzAT5ETopN30urNpjxEEuXf0ZSLIzz/P0iQLFy7s5TMRuly1uV3o9/gPAnrsS/NWYG58ylU+I6Gvs/oMQQ6VfAly8QSdjF7PkdEqjiDfwJGstdwOcRsXVerZ2sUcyeLJaJVFZlQjWb6Z0ZvmLtB6a5cV6QS5bIpORs0ZZDVbm6f11nZhXHwSM7S1HSlaBrkF8crOZywzapGtTUnTiJ8hg8ztEHc9R0YNBLnYlNXWfOIyo5xP23jSzpPRJRxpLzcTP4WMzlXIqKQSZHahsSh/mpKtpSjOnaT5NCNjHEdG0zSfskykXQJ8SLtVtnZScvc+LcqfgeCQEN0nlYzOtSbtmxbpGeQtlZxP1dY+bdHIKOeTQ8LaEj2rvYrbmZHPavOknSfImk9dvhlkSfEpJWooO25sRlz/gRY+JegEOSWd84kj7dxOeosKpln6tIrLIPusSKg+VSw1+hSk+rRce91tWaJntb/B9SAzn1j/ME+QB/shyKc23gKvQrJVyaGhOLXxlsAzyIIgf+m0cOFCcXH8FVFEUDC8a+/AtKEJ3T523ktPgey8C50eD1rdrmtwdkJC1rrqBDlO7UE2ZEZtiN/xs4w++svW8lnI/Rzx82ln8JOt5cko32Jx2QTZjvhZEOSAsrWXQEatWgfM7QwGgmwm7TZk1O1RMsgB+uTxAI2tLOfq0/bRjU9dik8OP20f/jLIVvPkzyereVKztYCFT4l+stpmn/hWFDWD7FZIe9TlZdoNWe12IDTEf4vF2QuMVPv16SQ7R/PKjdknQ1ab92kUQGX2eD8+XfMWC/VYEOQvDUGuqakBAKSnp/fymQhdK925+zXc9dHrhttunzAN906a1UtnJPRVVJ8gyAODQxHuDGIEmctCMuLHEWSFZFUVzuLaGbgMcski32wttSBZCkHeprYOaJ+m9yWjPEG+sbhEOzYQP44gF3PZ2hljOTJq1c7QqpJRopBRniCrLRYJhgyymq01+JQ90bjjIO9TmIVPXLb2G1zrwBZuJz2eIGsZZEnCFo60f4Mj7cZsbak1GTX4NFEno5njdNKemq77pO4Q19qOlEi9xSJO2SEuOTIaMREKaY8biUFKPttIkK3J6PX5uk+GVhSOjBp8Kqvk5okjyEu5HQc5n/istoGMcj7dyPlUVTSLyyCrLRZAMZdp10m7B5OSrX3S54lr++BWJLLiEjWf8lLStRYLg0/cTnr8PFXPNPvEZbWV1903+Kw2l2nfVq23x2xTWyyIhM0VSy19WlO6qGcEOTwcANAwdw6OvvQCdr//Fj579o/oul4hi34zyIwahzisCfLuE7U9eTsTusbasGEDNmzwu++J0FdMd+YWwb3m+4bb7tvzFh749B00uUTPsNC11bUjyIFka/0RZDvi54+MUmpPsmpPse8NhIyas7VNl0hGe7xDnE1m1F/rQCDEL70HPln2RbuVvmgrnxp9yWjA2VqVILsY/fQhyHw7gx/Srs2TlU9XirQH0Kvtd54sfAo4045uepA5ny40Mt8D9kklyFY+2WS1bUm74pO6k95lEOSAdtKzo8Y2BLkv7KR3rfVlIsiixeLrK48s40jzRbx65ihueeuvhvvOrfw3RIeGi13rhC5ZfYYghykEedoYrp3BJltbVaST0ZVcO8OaEhviV8mT0eVwaJlRJQtJJGypXKo0NTiwsZwjflo7g0r8WAewZTsDpToZlXky6kZeqpEgSyCmDHIz4nkyqmaQ4xJ0MjoqVSOj0zIyNZ/m5ORxPnGkncuMGrLapYssiZ/Bp2obnyp4n5Yo+VEJa0sUnyQJNxWrLRYOVHFZ7es1MkoNPcgaaXd5MCk5TW9niE3QfDJmkBXSHj3UQJD1DLKereXbPubwfdFT9B7kap+sthVpr+T6fXWftnLzZCDtFUq/r0QMPq3hMsg3qD5JBNXcPPE+FedO1nyazq1ITOJbLGK5eYoeqhFkNYNsyLTb+DQjcxzC+BUJlbRzr7tqrsXCSNrLTSsSLIO82bBywxHkquX6ys0S3advLOLnybrFgifIAy0IMihFv7Aw7Tg8JFQ71giy7IcgS74Emd0vJCTU1+SUJKQNisSGMROxPDnLcN/QJx+AtOtuhD16L463NkHUfwtdLfVOi4WZjEaZWiyCgoBjl7CjF0/8Ritk1ED8jrPHWBHkxDiWDe0JGfW385kdGbXd+ay7DLJFb22QQtrtCDJPRs1ZbeAys7VWZNQNNFhkkA0E2av4FM6ey2ND2h09yCDbZmvPAMMVn3iCfOiE0oRi4ZN5J71L8enkOUbv/WWQG+z6ovl56qYVxUDabTLIPEHuLoMcFATUmghyd/OktX0A2F8bsE9/nTAXMSOGs3PuowSZUor9+/cLgtxLEgRZiNfpthZsfPuveO5Yjc99716/BvlD47SvPTJbaev0ehDhDBK0WcigPkOQ1RaLaWN0Mjo7exJHsvQWiyVqthYUN8yZb58ZtcnWamR06QpIyoXo5kqO+Kl9rJKEdQvL2e1OB26cq2SQHQ5UGXpreeJnlxnlyKiJIJszyKP4nfQ4gjwxOVXLIE/jMqNzOJ8Wcj5VqWQUKmlnBHlNySKNGt/C+1TJEb+q5XBYZGt5gqztOChJWGPI1upktMqSjNpktQ0EuQtZcYnsuK0dyVExmk96BjkG0QoZHctntbke5OmcT8Z5mm4k7SEKadd8AiPtik88Qd5Sucy4IsFlax2B+MTPk0qQZ9r5NFHzaTo3TxOTU7V5ylR9auV9akacFWmPNbV9qL3afF907mQ9+2/wSX/d8QR5TWmZpU9bDW0fKmmXsLVaJ8j8yg3vk7oicai9GWHQL167yyADCIwgd7eTHk+QJXuCTClFfX09myshIaFe14iI/ni2eCnouh34eLExm17wl0dAdt6l/Ql65B4EPXIP+j/+A0i77sYbZ46hpvFCL5250JdV144gB9TOcAYYapMZ7a7FwpCFPMJ20lOztaMTFZJ1AkhNZBTz2ClGnz1eRq5V4ne6jj2XvxYLywyyF+h0McJpR0avdLbWQJC7IX6WrQNHlH5fP8RPJe1mn3qcreUJcjc+GQiymYwGQJCtfDp6EogbqhPkkaZMu8OcrT3MZigQn8ytKJfjk1WmPZB5am0HwrohyLbtMTY+Wc6TA6iptci0w4Igm7LanE+DqQN3JozT6+u8XnbuPscyex6A/SwlngFKGQk2H3cn7rEOSUJcxADbh4aGhiIuLg5Byn8GVAmCfG30j3/8AwAwe/bsXj4Tob6qDo8b4Y/d1+Pv+8XUBdj09t8wPz4FM4aNxOHmBmzMmITsqOFX4SyF+pr6DEEOkRwKGdV7a2dx7QwLC6YjWMk/VhXq2dqVHEHWyShlZFShWpsrqjWStbVqmUb8tlatgEMhyFuqOJJVVgVJqQ9bW6pna43Ebw6jyYTg+ikK8SMcGTVkRj2YpLUzuJCpZmvbrAlyclQMl63VyWguR0an+WRrFYKcr2dGl3AE2Ye0az5VGAmymq2t5sgolxndzJNRjrSvWVhm6RPfzsBna+fkcD4ZSHsqR5BH6gQ5UiGjjTpBHjUk2kBGedLeT5khQwY5ZxJCrLK16k56oLiB60FeU7pIW5G4ZVElt+MgN0/VKziCvMKGjCrZWqdK2lkGeaW6k56BtMPg0+zsSazpQvldtAxyit5ikRmnz9MoC5+So2IQHc5mKDM+EQND1baPVCNBVryZnT1R82kR/7rj56nY5JMyT3orCsFmfp7UlRsisYYUp7pys0xbubmlrFLzaW0JI+0X4cHuMIqFn/wd83f/DY+1nUbJJ3/H/A//ioebjrPjD/6KH9cfZsf/egH31R1gx+89j++d/pwdv/0s/u3EHnb8xp+w6fC/2PH//QFrD76L+R+/hK1HP8CNNW9h/scv4dsnPsHSva9j/scv4fsnP8WYMWNs/yQlJflcHAtdO82ePVtcHAv5VZgzCHTdDnSs/g/ckDIOTiJhddoEnFp+G+i6HWi48duW37fp7b8BAF48cQjf/eCf2FXzMXL+/D/Ye/H8tTx9oT6ua0iQTe0MQwYyYmXVzqCS0bihjFhZZpDtSBbRiR+lQM0xZVc9Uwa5JwSZJ34eD9DYwiiloXXAC3R0Af0CzYz2NINsQ/x4guyPjNr5pJJ2u3YGLauttDNcNhnlCLLBJy8bmivhkx1Bjh/Kfq7ZJ7t54tsZDJn2xB5kkBWfPB6g7ipk2q18amwB+oV134PM+zQ8mj3miB+fuiXtl5DVTvKT/Xe52WcXAu2LNpD27udpeFg/nF5p3Ao3EAmCfG20Z88eAMCECRN6+UyEvgr6/eHPsfT/ntG+zo0ajvrODtS2Nlo+PmtIDGoa6+GS2XtJYr9BOLJ0q8gzfwXU5wjy1Aw+gzwRoSGMZJXmT9VI1hIuC7lyznw4QxgpXlNSpuVHN2jZWsI+Ta+QrC1qFlJpIFDbGTYvqdY/TV/OkdESnYzeYEWQJYLr8znil6Nna6erO+l5+N5aFzLj1Qxyh078mlq0zGhy1FAuWxuPQQrxyx2VaiDIYRzxU0l7af40BCsfaDL4VDyfeUNZZlTziSOjtj5Vr9RIO5/V3lDGZ2vLNfqn+yQZMsgLuZ305uTmcWRUb2eYmJKm+xSXwGVrVdLeavIpQs9qh/oSZDufFhZYk/aVcxfAGaL6tEjzyUBGK6xJ+9bq5bpPHGm/hc8glyzSMsgrivUdB5eopB0ECwtM86T6pK5IeDyYOIrPIOs+jYqM1ghy7ACOIGukPQGDlBWJiSlp6BfK9SArjRZzcvM0grww35j9dyp1ayuLS3SfFpZZkvbNXKZ9K5fV3lqldERLBJsrq3Wfyqx9Wlm8QMv+LynUVyQ0nwCDT9M00u5BLpdpHxsb70vam1oRq65IRHI+xek+JfTTWzSE+p62b9+O7du39/ZpCH1FVJ2cCbpuB5pv+g72Vm7Eh+XrcXTZNtB1O0DX7fB5/GcNddrFMQDUtjZC2nU3PLIsmjO+Juq9nfSGDAiAIMcw8uOTQY5VSFatxafpiXUGWabWBNmO+LkV4hdnQfz4DDJPkC3JaCDtDDYZZH/tDHxvbdww9r0BEb8jgWWQ1d7a4ybSrrZYnLXwyUz8LtWnnma1u/PJKltr7tXuUQaZI+18v29KvMknExnlfbrYxPL2Pc4g25BRnwxyN6T95Dn2uvOX1Q7UJ3UHy/219qQ9dST7HY6dMfoU6IoE3/YRUK+22ScHOxYE+UtDkEWLhVBvqK6jDRvefAHPHtuv3fby/JWY++KT2tebMyZhZP9B2J6ZD6d0VTmj0FVQnyHIag/y1IwsjWTNzp6kEeSS/CkaGa0sNJFR5VP2N3MZ5A2LKuEIUYmfnhndUsWT0RUmMupUspA6QV5bordY3MARP2M7A0dGs03Ej6jEz4qMGglyLJetVcloxoh4jWTljkpjn9DXstrseFaOOaut+nQdI6AyxYo5CzT6d3PJIo4gV3AEmffJmNXmiZ+DJ35OJVu7oEzbYW/l3AWQHKxHekkRT/ymaVntObnd+zQ2thufOOI3liN+uclpGuuUNbEAACAASURBVEGeOiaLI6OTLH1aUmgiyFy21pa08/Ok+bRS94nrQd6wiPNJ3SHO4JMDSwr1eSpVfQJYVtuHjLqRm8KTUTWD3GEg7TpBHooodZ7iRnZP2idw8zRlumUrijmD7PQhyNTg09aqlVoGeUvVcsPrzneeHLi5hPOJe91VFs3Ssv/8isQsru1D88nlRm5yikbaNYLcaiTII5S+6OSoGERZ9I/HC4IsJCRkUkxYBP5cXK2RZbpuB4rjkvHSvBXaYx7a+wG+9f7fEfTIPSA770K7x92LZyx0tXRVCXJdRxtin/oxI8h2n6bnSdaxM8AIJQvJ7+jFk9GaWpZhdDiAmiOslcKK+Fm1WBw+YSTIKRxBToplOdsz59lzqcQvNoY93kCQuQyyIVvL9fu6PYxUeb0ABSNYPSV+Zy8AkWpWO5B2huNAopKnPVDLEb9am9aBozoZPVCrZLUp+znpib590Xxm9Mx5Paut+uT26ATZnNW2a/uw9cmX+LFsbQ93iOOztZY+mVYkNJ+OcGT0qCmrnXhl2z7sdmbs6GS/b48JcosyT07g/EX284KcrJM5cqD+uouxIu0n2IqEP5/21wKpnE+2GeRLzLTbrUhYZpC57L9fn9R50ltRRoT3x6kVtwX8fqbqcgkyIWQbgHVg07WTUvozQsidym3qp4Rup5T+TXn8dwGsAeAFsJVS+rJy+zwA/w3AAWAXpfSH3T23IMhCQpeuJlcn/nDkC6x/8wWf+95auBq5USMQqm5WJNRn1ScI8oCgEJ0gj80yZpD5bK1CsiqLlCykTLGCa2e4mSd+ZTrx28T1sW6p0lsHtnAEeZNGRiVsKK+EQyN+ZXCoBHluibbTV9XM2RzJmsoIF6UmMqpnkCeqrQNdLoxVdz5rb0dytEKymtsQN3CwNRnlMsgaGeXaGWbl6KS9dPJUy2ztCo6M3sy1WGwoW6KT9spqZYc9PoMsMdKuktElen50A0fab/bxiZHRSj6DXDBN8Qx6i4VXxjSu7SPXKoPc3oFkdYe4Zp2MjorUiV8Gl63NTUlDP3XHwbF8BjlXy9aW8D4V6vO00sanW8r0FYlNFbxPejuDYZ4q9Hm6xeSTStpXzDVlkJV5Kp2sk1E+WzuVy9ZO5Amy1vbRgVFRvtlaniDzpH1isp5BnpapZ5Bn5+ptHwunTLNeuZlr1YNMsaGsgvkEwl5TvE8aaV+uzxOfaV9UYTFPCmlXCTKXQS4tmMa8IeYMMjdP3IpEBu+THUGOUPvHR2ptH3ERevfytRIhJBPsQjgPwHgApYSQFOXun1JKJyh/1IvjDABLAYwFMA/Aw4QQByHEAeAXAOYDyACwTHmskJDQVdLA4FCsG52rkeXXS1dp9017/jGEPXYvfrTnLfxq74e40NmOuo623jtZocvWVSfIcU//xH8Psh3J4nf0CoiMmoifRka5DPKh434IchyjT3yLhS0ZtelB5kmW281IVSAEmSejVlltp5NltXmfDK0DXAZZ3SGuphZIjtOJX9pIQCL2ZLQ7n8zZ2itFkHnid6kEWc0gB1n4NCxKWZE4xfnkhyCncj6pZHQf14qiEmSZWpNRj5f1eSfFW2eQY2PY71xvM0/dtqLYkNFACDLv0+k6E2mPApxq2wfn08gR7OccNBFky3mqVTLIMnDwuE7a1ZUbbw9I+wiLlZtmLoPcEsA8qT51uoAgX59GhPXDqWucQSaELAEwj1K6Rvn6+wC6AIQDaKWUPmB6/HcBgFL6A+XrlwHcqdx9J6V0rtXj7PRlIsjvvPMOAGDKlCm9fCZCQvailCLl9z/HkZaLlve/c/3NKBgaf43PSsif+gxBDlF20psyxtw6oGaQp1qSLCNB1knWejWDDIKNauuAiYxu4UjWpspqjYx+o2yJJUFeoWZGJQlL7MhoLk9GLYhflwtj1RaL9g6kxAzTCbK6k17UUI0gZ8SZyahKkDMNPoUoO8EZfJqhklEZK4rnaxnk1XxWu3yJ7lOlmkEmjLRrZHQ5R9qXcgRZJ+08GTVka3mfpkzXfJqd3Q1B7nIhg+uL1rK1PEGOGqoT5BHxWmbU4NNYzqdcpS+aUqUVJURbkWDzBKwo5rLadmS0gvdJzyBvWWokyJpPKhl1GFtRVs4tgUMj7SYyqnygg29FmTo2S8tq56p90V0unSAbdtJrxYh+vmR0LEdGc5NTOYI8HmGhIcynHKUHmVLjyk3hLCXvL7MVCc4nfeXGRJB5n7R5Wqb45GAzp5L2cuV155CwmssgLy+er3VHVxbqKzel+dO0lZtZXPZ/yhg1g2xckRjLzVOSVYsFT5DjR2KgMk9x/ew3CbmK+hzAdEJIJCEkHMACAOq/npsJIZ8SQh4lhAxWbosFcIL7/pPKbXa3+4gQsp4Q8iEh5MPz5788Pa9TpkwRF8dCfV6EEBxeuhXetXdY3j/lL49CFq0XX0r1XgZZJaM8yVIzyE6n9c5nTicjyCoZrTkKpHDtDGOSAPhpseCztUdPsRwlT/w8FllIKzJ6sYXlpv1lkC+1dcBMRiMHWvs03IaMqsTPzqf9XAZ531Egw0TaVeJnziDzBNmOtHu87PyHd5PV7klm1IeMBkCQfdoZFJ/4DLKBjJr6oiWJzZBKRvcpKxJUBg4c51pRlBYLnoyq2VrVp+7IqN956oa025BR2xUJfp54n46d1lck1FYU88oNn/3ff0Rvsdh/xJhB1giymkHubuVGyf6fDcAnlbQHSpC78akXM8hrAGwE0AbgCzCC/AMAF8DO+h4AwymlNxNCHgLwHqX0SeV7HwHwovKj5lFK1yq33wBgMqV0s7/nFgRZSOjq60JnO14+eQjv153Cz7/4FwDAteZ7CPKzvb3QtVOfIcihDj2DrBK/Wdm5GhldMJnPIF+n0CsZy7V+X2M7w/oynSB/g+ut3Vy9HA6n2oNsTfzWL6rUiN/qhYv0zGixTpANWch8nSDzxG9aJtdbayCjehaSJ6Mq8RsVFaO3DsQmaMQvZ1SKlq3lfZqdoxPkUs6niqLrbMmoRvx4gmzwaZmRIKukfYmR+Gk+ldr4VDRb64teWKATv9lcVnsa1+9rIMhxI9lj2k2ZUYNPOmkfqHhjzmrrPiktFpSitIDv951t9ElZkVht6Iuu0NoZNqoZZGIko5s10u4wrEhopN0hYTWXreV9qijUM8glk/VMu4Egc/Ok9ft2uZAxIt6ajA7wJaNj40fqPqWkGto+dJ/y9HnKt8q0Ayu4DPJqbic9PftPsYnbSU8n7UpDikqQK6xXJFaXLNJXbooXsGOH8rrTfOIIco7eYjElQyfIOclpbIY6lRUJZZ54n0ZwfdFWPsX2QgYZACilj1BKcymlMwBcBHCAUnqOUuqllMoAdoJllAHgFHTCDABxym12t39ldPvtt+P222/v7dMQEuqxokLDsSJlHH6UN1u7LfiR/8S/v/93nBe55C+Neocg22VGzWTUtp3B3GJhykIayGit6dP0iYwu2RFkAxmt51oHmqzJaEsby1P7ZJC5dgbA76fpAyOjSr+vFWm3ytbyGeSao7pPe02k3V9Wm/fJ7QVO8j7ZtH3YEuQ2YNCAHrR9dEOQzdlanoyas9qB+rT/KMvWEq4v2oq0pyfq82TZ9qFmtblWFI+X7SAZO5T5d6GRnZvZJ7t2hm7nic9qNysE2U8GuaevOwNBPqpnkPdyPqnZf0rZ40cnKW0fJ9j8WWWQrUi7+rq7XNKu+sQTZL7FohcyyMr3x1BK6wghCQBeAZAPIIxSeka5/1YwGryUEDIWwNNgF8wjAPwTQCqY4wcAzAK7MP4AwHJK6Rf+nvvLRJBFi4XQV0FdXg9CH73XcNup5bdhRC/9B12oLxFkpcViythMhKsEmSN+JQXKp+llWSejFFiuZpApsLpEz4yu43prN2p9rASbl3DEj8sgb6xcyqiWQzIQv5sNBLmEyyDPgUMjo9PZMSGYMzEPDsIaCKbyO5+lpjN6pWZGVTIazZNRnfhFKmR0zAidjOaMSrUkyLOy9WxtiZoZlZVsrZIZXT6HyyBzxG9duSmrrfi0qUol7cDmJSs4n6p04lfO+2RNRvneWo2MgmJ2ru7TNK4HOTdF92kM3+8bPZTd3txmzCArxC8jbqTJp1BlnsYhLET3KSQkFJAZQQ4KYfNUWaivSNhltfkViU2Vy9jt6oqEBWlneW59ntT2k9V8pr24RCOjFUXXabnjkvxpbJ4Ag09TOZ+ytZ30jKRd86mpFcMV0p4Uqc9TRmy8lq3NTU7X2z4yOZ9yJukZZN4nNatNfUm7wSeVtHMZZN4n7XVHlNedsiKxfhFH2ku4to/i+Rxpv06fp/zpXAZ5IpfV1n3SCHKXCxnaTnpGgjycW5GI5FpRtBaL3skgA8AzhJC9AJ4HsIlS2gjgvwghnxFCPgUwE8CtAKBc8P4BwF4ALymP91JKPQA2A3gZwD4Af+ju4lhISOjaK8ThhHftHSgcPlK7Lfbpn+Bo80VMeOZXIDvvQsLTP7X83nPtrbjQ2X6tTlXIpN5psTh7HhgyyDczakdGDx5nWUUzyapRspAq8VPJ6L4jOvGrqWW3mz9NzxPk42dYDtXjtSfIgWSQA2qx6CYzeuEiI4hBTkbVIgfpBDkmUid+qk9HTjDyZklGucxomoVPWlbblK09dAxIS7IhyCoZtfCJb2fw6fflCLJdBrknPvkjyHy2dkSMRab9OGv7cKhZbd6nRK7Fwoq01xpXJC4pq20myDY+9SRba9v2YZqnqEHd+HQCiB9u87qzIe38605r+6jVM8j8DpaGlRveJ35Fopt58iqvO/POjDxp9ygE2elgKxZBTh+CHBveHyd7IYPcmxIEWUio90QphbTrbtv7X56/EnNiR2Hei0/hlVOHDfe9t2gNJsfEXe1T/FqoTxDk/kHBCJYcgCyjYPRYrY/1uuw8pY/VSEYXF15nSUZv4sjoei4z+o2KpUbip5BRvsVi4xKdZK1Td/RySFi9kO+tVYifiYyWcgTZ2DowjtE/jwc5XOuAIVvLkVG1jzVpSLRGRsfEJWjELydZIcheGVM4gnxdTp7SF02xIF8nfhVFuk/LuAzyanPbh+pTpbVPm5cs5zKj1Zpn68uW2BJknYxa+ASCWTmTdDKqZkY9HuQmp3PEzyIzyhHkpMhoE0G28MlMRhWCXFLAz5OJtCsrEjeXlLHWBsA4T5WmFQneJ7UJhSPI68q4TDtHRpdrZJSgomiWtiJRUjBN94kjyFM4n3gyOkbNILcbe5DVbO2oaBNBVkl7cioiVNKeMU5fkcjN43yaau1T8QI4g33naR2f/a+s1ueJX5HQstrK5wPUebq+QiPtq7iVm+VzOJ84gryAI+36PMkoyMjUWlFyeNLOE+ToGOZfSxvn0zATQWY+DQ/vdzXf/oSEhIQMIoTgi8qNtvfPffFJSLvu9rk4BoD85x7Bxa6Oq3l6QiZdO4Js185gR0Z54ueXZCX6Ej+ValEK1BxT6J9sQ0Y9Sh+rkq09VcfootvD2jbilCzkhYs68WvkCLJtBrkbgtzWDoSEsK/99ftaZWvtyOjB40AST0atfDqstA5wpF3NjGpk9LivT+asNu+T1Y6DAZN2iwyyTWb0ksiouS/ahyAf9c3WEkn3ydBiYbHjoE9W2zRPtm0fyjyZfepuhziejNpl2v1lkPnXnZZpt/HJZ55sViRGJ7FzqjkCjE7WffKX/dd8Mq3ceLzsdXdJ8+Rl93W3k57yuhMEuW9rz549AIAJEyb08pkICV1ZUUrR4fUg3Mk2Onvr7HFMf/4xn8fdlDoevzn4ieG2Uf0HI2NwNP5SvBSEkGtyvl819T2CPGasRvyuU/t9ZRnz86daklFG/EIsCDKXra3ks7XLTCQrSO9jVXb0Wle2RCPIN5fqn6ZfrmVrCSpnztaIn9ZbS6mB+E01tDOoZNSNDG2HuE4kRflma5MioxEVrhDkEfEYGM7IaDZH/AoyMi19WpA/RfPJjoyuKl0EZwjLj/LE7xYuM7ppyQpf0k4IvlGhk9H15YpPEsvW+rZYEFTMnGXtU3YgpF3fSS8pSifIKvFLiorWs9qxCRigEeQ0nSBzLRY6GZWxIF8noxVqOwOfrfXxydT2oZDRTVxf9GauL5rNk0JGyyv0FQmbeaoomq2tQpQUTNV8uo5bkZgyNkv3aRTnE0/ao3QyOry/VQaZa0VJTkOEmbR7edIuYwG3cmPwSW2xoMDNCznSbsgg8z4pGWRJwmatPUadOd+Vm1WcTyvmLtBWbharKxIAFhRMZZ6Z5mlKpj5P2aNSddIep/rUiaQh0Qppb8OwiAFaBnmI0jk+JlZfuRkeLj4k05c1YcIEcXEs9JUUIUS7OAaAacMSQNftQMON3/7/7L13eFxnmff/PTOj6hqr2Fazqq3mouIiuajYlmRLtnpzrynALgu8LAsvbBaWd4HdDe9veReyJJRQQidAEiCQ0FKAhAAhzXHvvcVFljQz55zfH0+7z5lzRnLAlg3nvi6unShKPP7mPr60n+cz3wefXdKCE+vfDXPnvXiotg3mzntxbuN75fceuHIRjx/ZA9/nPgLtwQ+Pxdv/m5mxI8ji0/THTgNTk5xvPnP9NL0LQY7orRUOMiXI2YzIHTzG/OVwmNwQR9zasM7e50gE2Y1khcKM6FlcyGi9tfzmM0pGT51jDnLAr24cHJH4jcJBLhwpJwcyane1j4ucXJzRCOLn1GIxipwspP0yMH6cs4NM2z7kiYQtpywnt/YgkJfFXu8iDvLrhIy+cZCfSIATZJoT70E+eCK6025psYhCkEfTF/0Xd9ptPciODrKdtDvkJAmywVtRHPaJutpHTrqQdgf3P6qrTfdJj+4gXxkAEuI9gnwbzFNPPQUAWLFixQjf6Y03fxvz/heewsf/9FzE1/Ud/8wggTejmluOIC8qKmHETzdQX16JuATmQlKC3L5UtVj0EzK6mbQO7CA3et3dSclovyPxu6erTxLkO9u6pI+8Vbi1fkb8lFu7QrUOCGfURpCrS6gzKoiflSDnCoJMXMgc4owWEjI6Ly9fEb/i2Zz46Zwgx0nSLp1R0jqwrnE1vwXNxOaWtSon6iB39kYSP5FTgLQzBFhOO9o6JTXeQnqQGRn1K4LsF27tUuWMllWynAwb8SP9vrLF4tqQcrXtOSWIto9M4mrPZKSdU9d4mlOCctotpF3k1LBKurVbWug+dcvXykEG3t5LyGhvPz+R4G5tQJxIdPJ98lvdWppTjdqn1YsIGRVurWElyPPy8lVOlLQnpUjSPn3CROm0S9KekWVxtcfxDCRp1w0sL18gc1rtktP6lc3OObV2cZpMnzu4EGQfd5BVToIgb25WOfUTV7uD9CBLB1kD6sk+UQe5LG8m+/pwCIVp5OSGOMjTJ3LSnjxVkfbMbEzk+5TmEeRbej760Y/iox/96Fi/DW+8uWXmYwtWwNx5L8yd9+KRFT3y635Ok6+GgmP47v765ub1ILsRPzsZFW4tbWdwciEl8RutMypIlnBrBUEmxE8Q5CxORqWDHAbO8R7kcBi4eJn5m64OsgsZtRO/eAcySkk7JX6UtI+mdeANfiuc3xdJ/Ir4zWe0dUC0fUTkJAhyGDji4oy6kfYR+6JHkdOVa0DiCC0Wdgc5wtX2c4I8jd+eF82tpTk5tDO47pNDTva2j9Pn2C11oTBza51ycmz7cCPthIy67pOLqy2euxjx3LmRdupqZ7Ffa9cBYNYoHGSZ09EoBJnsk3ju3Jx2t5v03Bxkt5v04j0H+XYYr8XCG2+iT/kjn8Ufz5+yfO38xn/ElPiEMXpHt8fcMgQ53h8AdANVJYpk1RHi10TIaDtxa/sJ8dvcrJzRHaJ1wLSTUeGMaoz+cZJ1dye/Ic7nY76pdCFpi4WVIPv9yhlVrQOUjM7lxE9HeT4hWU5k9OoA0iZOAnQDOaKPVTdQlM4dZN1AWd5MRvx0HVXFhLRXzFfEj/TWti0jLRYrVevA5pa18vWO9m5H4ve2nn5589nb5c1nPuaMipxaeU4+4oz6/ehvXEXI6HJJjVdL0g7UlyvSXlVcqggyyalIuLWDw8rVvkLIaBLJKSMTE3nrQFlePutB1nkPMs1JuLVVix1cbZPtU5yDg0xaLO7u7LPlxFztt/Uo0u64Tz4fNjWvVScSdJ9ETpqG1bIVBaivUG0fVUWcIIdYi4XKKVO5tRbSzvcpZap0awvTsyQZLbfsEyHtxEFurqY3M1LSbtsn6rSLnEiLxdvFzYw+H97erXK6q7NH5rSjtVPmRAkya/tg+9Res1w+d5S015dTglzCXgfDKLOTdpGTE2knDrLMSfdaLLzxxpvbe/7QcRd2db8d36zvkl9L+sq/49ULZ8bwXf31zK3hIAuSdcROkAXxO8wcYYtbayej+4GiPPYL79oPFHOS9cYh5dbuPcx6ayXxmxFJskQ7AyWjgvhNS2b/rCtBHmLkjhI/XWfvIxCIQpAdnNGAnxFs4SCLdoaoOUVzkElOhZwgv3HQ1hdtd7V5TvkzAN2BjEaQdk6QZU6jcbV10mLBc7I4o9ytdSOjAT/772RvsRgxpzTepX3IRtppv6+dtNvdWuq0uxDkE8TVFjkJt3ZqkkNO10OQncmoY4uFyGmkEwnXfRIE2cdOaGZlw9nVdspJuNqGs9Putk+j6R8P68AwcZAFQfYcZMfxCLI33vx1zkvnT6Hskc/Kv35y9UasSM8dw3d0684tQ5BjNR+g61hUVOpIkFeJPlbT2sfat5ISvzaLgyzI6F0dlIyuI2RUtTPcTVss2ruUM0p6a/sbmiTJop+mlw6ypjEy6vPJW9wEQZZkNMjIqF8jBBmCjDK3NjsphZEsXcestExMTEgAdB3zcvMJ8StlxM/grrZwkBdWO+bU36hy2ty81upqC+LX4eSManhbb7/M6a7OXuLWWnPyB5xcbUL8qkWLBVBfPt85p9x8C0EWOeUkE+I3cTKgG8gWzignyJMSnEg73yfDRF35fMTynFa75UQI8iZJRjXsJKTdeiLhQtodc/KxphUHp729tl662qst+1Qpc6qSDrJudWvTM1VO5ERCtlikpMp9Kky35SR7tefInOor5sv+8dVVS2Rm7eREgjnt/LlrdnGQu8hzRwgyc7V5Th0kp/ZOmdOm5rXkuVM5dZCTG5pT3TxCkC05FcjnrjBN5ZQtCPKVqyonenKTOUM+d9M8guyNN978lcy8pGkwd96LOL8fALDyR1/BH8+dBAAMhIL4tz8+g6eOHxjLt3jbzQ0lyGcHB5AuCbKNjDq1WLi2DhCCLN1aezsDJaMHrAS5MIdRLeGMGjpwgJKsE/zT9Dr7dH92eqRbe/Yid5B19x7ka0PAhFESZAsZJS0WlPhZcjoFTE12IX4jOMi7DhJndD8no1okGZ3Fc9p7hL12c7XdHGRK2sP69TnIFoJMyCghflYyeoGR1mg5HYrm1jrlxJtQIkg73yfDZCRV3D5oyYm7tXqUtg8n0m7fp5H6fcM6gNHkRNs+xrPvp6Q9KkGmz106+/fvOeTiINtObopGaLE4eIyfSERr+zhv7Yt22iea07VhYMIoCbLnIN82BHn37t0AgFmzZo3xO/HGm9traP3bwtR0PH/muPzri5veh8lcnftbnVuCII+PiUWs5gd0HQsFQTYM1JVVSJK1qmqxJFlty1SLRe/KJnWTHiFZ2wkZvauzl/mSmoZ7KBklBPnOrh5JtXa0dUU6oz4f+hvUTXrttU5urYn6ygXydRVpHbC4tZkz2OvBYWQnp7LXVwaQNoF9sGhGUookWYUZNoLMiV8VuUmvbl6lzKmJtA601yznzRUG+hpUTpsIQd5OSPvdXSqnt5Gbz6yudp98zUi7nxM/e+sAo4Jty+plTs3VhPgJgmyaqCp2yMlO/Cz9viKnZJLTDOmMUjJaVaJuiKsnOa2qWqpyIm5tn2WfaE6KjN5lcZAd9smn4a4uldP29k6S01r5uq9hlTy1oAR5VRV1a+c77BPbBdXOYCWjfpnTJEDXkZ2cjCmEjE6IF/s0E4mCtJeUIiE+IYK00/aYtpp6uU/9jatlNpua2yRptz93ykHmJzfgNJmSdp7B9rYOmc1meSJhzYnu06qF1TIbuk+LitQ+zaU5ZWTK527GlBSr067ryE5WpL2IOMgeQb61Z9asWd4Px9548xbG3HkvmjLyAcDywzEAPHp491i8pdtybjxBfvg+hGiLRYQzSvpYXYkfIVkRzmg2cZAFGd1vbWewEz9DZ/9+Rwf5NDAjPdKFPPcmIcguDrITQXYjfm79vq5ubbR+X+pq23NyIn7EraVktIj7yHsPuxBkTtpDOnDCJSfqal+4zPzyCLfWwdW25OTSznDxMsvXKSfq1jq1M+w/Bsy4XjJK9skpJ8debZtbe4I67WdZi4X9RMKtxWLEfYrWYsFJ+5kLbD+j5nScEeSIfRolabe7/3bSLgmyS04RpJ23fYT5c+dE2sVzF+b75JgTFEEOBNhrjyDfNgT5scceAwCsWbNmjN+JN97cfmOYJt7925/gv159HgCwMX8OvrLvZQDAd1Z0ozOneCzf3pjOrUOQeYvFopJSxMfHcYLsTLJaayhBXkXIaCshWV0uDrKtdSAmhrczUOLnQpAbV0d+mt7ujFZSMsrdWt3qIBc6EeSr1zgZNZCdbHeQGcmal1uARN40IF1tw0QtIX5NC0lfNMmJkdH4yJzaOy2tAxbSHsPaPu7p7ldktLNPNhBYyOjqVkLaqVvrkpMgfrqJqhKV07xcRdpnWRzkqQ45peIOkVM6ySl/pspJ3qRnoq7M5tYKB7mOEORGt32ytliwnLirHSC7JXPqlTntIA7yRrlPmiKj3EEWTvsq0e8LoK6CkFFC2uflFhAyqvZpRlLkPuUkT3XOKddK2sVzV18+ck79Dasdnfbt7eJEAhbSfo9wtcVrccsgOZHY1qoc5M3NrSQn5f5bSbvIyXoisUi0oug65lEHOSPLY/f+0AAAIABJREFU4bkbwLQJk1ROidzVJs+dR5Bv7bnvvvtw3333jfXb8Mab23J8mob/r6oJHypbhi0z5+HLde3y73U99W1oD35Y/s8b57mJDjJvsXAko1OAACd+6Q6fpt9zmJEmv89KkHcdYJ+mj0pGD/F+X5O0WBiKINN2BkqQ9WgOsgNBDuuMVAlnNBhmjrEb8bM4o9RBtrm1SZOcSbtTTsLVdswpx0ba7Tm5ubUuzuiocrpe4kdyciB+rjmdPMt+nYCbq+0fhdNu26fX97OGD4A1NZS47ZPdQQ4Dh/kNcbrIibi1Tm0flLS77dNIBJnuEyXtNCcLQY6Wk8M+SdJub7FwI+1uOR2LbEWJ1qt9/k3ntg/XnHRyk57DPpGcMsZNxNF17xr1n2diPIJ8c8ZrsfDGm7/sXA4OY9KXPu749x5v7MeSaayqdnxMLLS/4pv5bhmCHCMd5BJFRskNcY0LqxEbz0hWa02ddCF7ZYuFiY0trZIab2tTJOvOrr6RyWiXM/HbvKZVtjP0Uxeydjm73QvAqkWLOf0zLcSPklHZOhAirQODw8hJjSSj1EGelZElndG5xEFeWDxbEr/aeRWSIDcuqCbOKM3JTpAdciI9yHd398ucXN3aNuIgtyhnVOXks+TUtIg7oxE5ETKaT3KixC+JO8h2gpyoyKhbTpIgVyxQpJ242ionE30NVoIc6SADd3UpgnxPzzoEYri33buOkFH7PtkdZD/6GlfLk4q22uVyt5qIg1xHSPui0tmRZNS2T9mEtE/jrnZ2Uqp0kAszlFs7L6/AmbQTgkxd7bZlKifV9iEcZLZP21vpc9drI8gxPDMbaeevd9icdpFT78om5f7X1Em63kR6kGvLKlROpFd7LslpFmn7mJGUIts+ZE6UIGfMwIR4lk1qfOKN/OPPG2+88eaWmomxcfImvhPr343vktv4Wn7ydUz+0icw8Usfh+9zH8Hl4DAGw6ExfLdjP7dAi8UpRogsBNlGsgRBtrdY7NrPSZYPeM1G/IpzrT3IdjJ64BhrwAjr7NfNy2Svj51Wzqhrv+91OsimyX6vbr21FuLn1ltrJ34pnCA7ET8/I8L2nCxk1MHVtjjI2Yq0O+VkIcjErXUjo25uLSXtNKeAP4L4Rc0p4oY4nlP6VPY9+48yB9kfYO6wU06v72eNJz6N7NMocjIM5jjLnE4CeZS0j7RPoyGjDgR5cBiIdTqRcHGQT57jpN0fJSfiajud3Ph8rNVjxJMb+4lEdqSDPGJOxEG2P3euvdoipzB7T1FOJDwH+dYejyB7482Nn5U/+sqI9W9/bc7yLUGQx1kIsnKQa+apFouGhYs5QTbQVlsvSVYPIaMbWpQLuY3c6MXIaCwA4J7efgQEQe5VDvKd3c6tAxtbqAu5Wr7uqF+hiB8lo7Lfl7Qz6GHMo721NjLq1zRg4Bp3IVk7g3JGMyTxm0uI38JilVNtGWmxoDfp1dQjJj4+IqdNLa0ym23ErWWkPY5Rvt5+6dbe001yspBR0lvbohzkXpJTWw13RgE0SbfWhYyGdcy1uLUOzujANUybqFospozjpD09i7d92MmoLSdJkFWvtmpnMNEn+n0RJaduu1srcupXOXURV1ucSPisOfXZTiQiCDLYKYoTGaUEeVZapqODPE2Q9hTiamdkSTI6N7dAkvZFJYog11ZUIi4uNjKn2uUyp17SiqJObqBaUTRGkMU+3d29Tj13Fge5l5xIdBJXm+5Tk+VEQj136gbL2nKSUwndJ9ViMSs9Q+UkHeRB6SBnRzjILJupCeNu5B9/rqNp2js1TXtV07TXNE37B/61/9A07Q1N017WNO17mqZN5l/P1jRtUNO0l/j//of8eyo0TXtF07R9mqZ9SvtrPhP1xhtvbsj8dNUGnN/4j/jOim78bPUmnFr/nojv6Xrq2/j6vlfG4N2N7YwNQXbrYz10Aki3kVEL8XNxkC0EmXuRogc5op0hWxE/4SAfPulMRk+eBTKn8RaLi6w5IqwDFy8xHzhav68jGY3m1jrcpHfyLGs3iLGT0ZMqp4h2BhsZtRM/u1vrmhMh7QXcQXYj7afOsZzCYeDsCG0f0VxtkdMgd2sdCbJLO0OyGxnlrvb+o4xQjpiTnSDDeiLh1Ipib/uwkHbu1tJ9ikpGXW7Skzm5kNHRknZxInH0FPv1LU67f+TnbiSCLEj7G4fULY2ODrKT0+5A2s9eUM+dm9M+Glf7FnGQNU0rBfANAAsABAE8AeBuALkAfm6aZljTtE8AgGma79M0LRvA46Zpljr8u14A8PcAngfwIwCfMk3zx9F+/duJIB89ehQAkJmZOcbvxBtv/rbmjTfPISkuASeuXcE8cjufufPeMXxXf7m55QjygkLlINeUWx1kQUbXOpFRmNjYvFaSrEi3lhHku3r6JPG7W96CZm0d2N6uiN/GFu5C+vyE+PnQJlosNKCJ3uhVoXqQF5UqB3ku+TS9dCGHhpGdMtVGkA3MIG7tzDSrWyt6a6mrXUOc0cZF1YT4qZwo8dvQbCWjgvjdRQjy3b390q29R94+aHVrt7WRFguRk9/H3FqeU2ttvSJ+1UsiiZ9pYhFtsbA5oz6e04zkFEKQWU5ZySmKIBO3dm4eIaOlsxEv2z4qERsryGi1hYyqnFZLSkpzspNRf0wMYDKCrE4kFEHe2WUnoyybDavXEjJKXW1C2qsccjIIGdXtZJTnNDiM7BRB2gfJiUQKpowbR3KipD3OmbSLfaoiPcjk5Ea6/zCxsdmFIHcqgvy2HkKQu20nNw77tIH0RfdIB9lG2snJTQ1x2hcWlzg7yIS0Z0kHmZ7ciOeOudrKQR4TglwE4HnTNK+ZphkG8CsAHaZp/pT/NQD8FkBGtH+JpmnTAUw0TfO3JqMcXwbQdiPf+M2ezMxM74djb7wZgymcnIyUhHGYmzQNxo5/ll/P+Nonx/Bd3fy5eQQ5mjPqSpBHQ0ajET8wZ1mQrD2HgcJs5kLuP8ooWDQHWZJRO8lycZAHBoGJ4yOJn4mR3drxiex7IsioyIneEHd8BLfWZ+1Btri1+xg1lqSd5GRxtbNtbR/RXO1zzv2+bgR50MlBJjlFJcjXQ0Zdctrr1Iri5iDDStrpPo3a1b4eMnoVuGNSdDLqRNojnHY30u62Tw6kXTrIfvasFcxgz92uAywnTXM4kXDYpz2H2fdHOMgjkHb7zYwXr8dpj+YgxwKBwFgR5CIAPwBQBWAQwM8AvGia5t+R73kMwDdN0/wqJ8ivAdgD4DKAD5qm+YymaZUAPm6a5gr+zywF8D7TNFui/fq3E0H+5je/CQDo7e0d43fijTd/2/PE0X1Y9cTDAIDfte1EZUraGL+jP29uIYLsYwS5qBTxnFgtm1eJ2FhOkBdVkx7kOk78wAmyIKNr2WuY2NraIUnWzk5F/O7u6ZNk9O4eQfw0RgU5ydra1qFcyDVtklj1rnR2RhuraIsFIciiBzls7WOdJXqQh4IW4jeV3+hlIX6kt3ZuXgHGcfq3sGS2zKmmTOXUsLDa0hctiF93FNIuKOnOLprTOitpFzl1KzK6ze4gc+LXS9xaC0GmDrJjv6+OOXn5ivgRB1k6owOD3EEWBFmRUUnaCRldWFxiySmO36pHXW2aU0/DKsSInFpITq3U1aY5KYJ8d4+4cdC6T9tJK8qGlrUOrraPu9p+6016rmRUx1zSijIzLUMS5Bmk7WMqJ+0zUqxtH+NpTvGR+1RbRp+7xY5OOyPt6rmTJxLtXYogd6u2j7t7aU78tX2fOrocHeQeJ9JuO7mpIScSCwlpn5NDnju6T5bnTpF2SysKf+7GosXCNM1dAD4B4KdgesVLAHTx9zVN+98AwgAe5l86CSDLNM0yAO8G8DVN0yZez6+padqdmqa9qGnai2fPnv0L/C5uztx///24//77x/pteOPN3/w0Zebj/fOWAADmf/9BPHPy8Bi/o5szN+EmvU8iZBpRbvQ6Rfp9TwIZKYRkRSF+lCBbSFYUMrrnCCPIhgHsGyVBzpjGPGXh1uo6cMHFQR6xneEtOqOC+DmSUScH2ZaTIH4Wgow/j4weOw1kE1db5nTRmbRfvsqaSyIIcojlYCHtLq62W7+vpQeZnki45HS9ZPS1/UBJvsrJTkYtTvso98niIBOCPJqb9Ebcp0vspkL7iYRw2iVBJic3GZS0p7Fs9l5PTjb33+3kxrJPLi0W4uQm4gbL63SQJWkf4qQ9wPYwMQEI+JE5biKOjHEPsqZp/wbgmGman9E0bQuAuwAsN03zmsv3/xLA/wJwHMAvTNMs5F/vB1BrmuZd0X6924kgey0W3nhz68ywHkb8F/6P/Ov/U1mPD5QtHcN39NbnliHIsX7mIM8vLpXOKCV+jYvUjV5ra2qVg9ygXMgNhPhtbbMSZEmyevoRIGQ0QAhyQJCs9k7lIFOCTIkfdSGrl3B/VENtBXVGlVsrySgnWdIZTeYu5IAgfjqypigyOpMQv9l5ykFeUFwSmZNpoNGNjK5stJF2kZOzW3s36fdlBJnR0J1ddgc5oJxRQUZX2gkyJ34kp5pyZ4I8l/QgS+I3FEQWIcgyp6QU3u/LXG1FRomrXVxKCPJ8RUariNO+LFpOgoySnLpt+8RzuquXEOROsk8iJ83q1rqSdrpPZWqfLAQ5l+xTusppBnFrRU7UrZ2VnoUJ/BRibt5MfiKhY1GJcrWl0873STx3rbQ9pqGJ75CJ9S457eyiOfXJ5+4u4h3b9ykQiLGRdg09KxtVTjW2586JIBeVEtLu4LTbHGRJ2pNTcYfoH8+cIfcpeYx6kDVNS+X/NwtABxgVbgLwjwDW0h+ONU1L0TTNz1/nAigAcMA0zZMALmuatoi3V2wCUze88cYbb/7iE+cPWD6k979f/DmmfPkT8q8PXr6IVy6chvbgh3FmcGAs3uJffG6Og6zrjARZHGTSOiBI1sETQEZqdJK1+wD7FLyrW4tI4lecyygfdSGpg3zoBJAviN8pTkYN0jpAnFHR75tyB/ueS1fZbXeUjIZ1IORARiOcUeZC4uIl9s/5/e45HT0FTEti3+/WzuBERqPlZCHIpMN2zyFFRvcdZcTPMFhOI7naZy6wjmbR9pEyheXk5CCHdZaPo1vrZ78/J1dbEOQ7JjmTUZHTiGTUx9oWCkboQXYko7Z9Gk2v9qmzQMZ09ns+/6a1L1rs04i92i6k3elEwu9jrSj2m/ToiUSAk3aR076j7P3ae5DfOOi8T6/uY7cMXk9OBVnsNX3unNpjnJ47eeOgg6tt2adobR9xY+Yg83/+GQBJAEIA3m2a5s80TdsHIA7Aef5tvzVN825N0zoBfIR/rwHgXtM0H+P/nkoADwFIAPBjAH9njvAHukeQvfHGmz93Vj/xMH58dF/U7znQ+/fImXjHTXpH1ze3DEGO0XyAYWB+kSKjy6hbu4i2WNSB9iDHxAuStUaSrC3EGd3Z2cNIsY2M3tWrWix2dvUgEFAEWZGsVgQEyWpUxG+tIMgAaWcwUVuhepAXlsxmbnJYx5wCQbLCiowOBzFDtlgMIXXCRJtbq2NmmupBnpM3k/X7GgYjyJKMVhAyukTeOEjbPrpXqhviLDkRB3kHyekumpMgfpqGHYL4aRq2UjK6ppXlp/nQ00BbLKirvcTZrS2ZwztsdczJVQ7yzPQs2WIhid+A3a0dL0m7IqPc1TYMLCyZ40xGq1VOraTflznIbJ8oad/S1kFcbZJTdx97DU5GYyL3aSvZp/XNlIw2kX2qJzkt5dRdQ828Sss++fk+zSYnEjInCxlVbm0WdWszsiQZnZObjwS+QwuLZ1v2SeTUVM1PJEzDlpPd/eeudnsXo8b2nHrXyZzudMlpS6s6uVnfvEa+7iYO8lrSq033aals+zAwv6SEZRDWMcfJ1R6y5TSek/Yp1pyEg5wyRgTZNM2lpmkWm6Y51zTNn/Gv5ZummWma5jz+v7v5179rmmYJ/1q5+OGY/70XTdMsNU0zzzTNd4z0w7E33njjzV9iftS0Hv9aURf1e3K/+SloD374Jr2jGzM3lCCfG7qGtIfvi06Qj57mxM/vfKOXnfjtPsgJsuhBFi4kaWd4jVMtS4uFzRkVZNROsuwE2dFBHg1Bvs5+X0lGL7o4oyeBadzPPuzQOuDmjFLip0FRvtESv/0OOekGy2lGmjWnsL0vmuTk5CBHzYkT5MsDQCK9Ic6BjEYQ5OTInBzJKM3Jx4h6BBkFP5EQ++RE2k2WkyCjTgTZfiJx5jyQlqpc7eSRcuInEiFORh0JMiOjuHDJ6rTf4eBqH7UT5NHuE+/SLsxl+ySyAUbXHjNS24fbPgn3f9QnEvTkZgiIibllCPJYzu1EkM+dOwcASE5OHuN34o033jjNR//wND70+18AAJLjE9GTW4x/KF2Emd/6b/k9M8ZPwqH+fxirt+g4twRBTgzEWAmyaLEgZLRhUTViOQ1dW1PPqZaJrpWNkvitp25tq+pB3tHZI13Iu3oIyRJdvz4b8XMioz4fIcg+rK2xEWTh1lZUOhLkuQUzFUFOJwRZOsiDhCCr1oGC9EyM532ss/PykcjJ6IKSUtmDvIyQ0YYqRfwsfdGEjNoJcoDfPrijS+Sk4a7ufpnT3d39ivh1OpPRDS2tkvj1NHIyqgFrl9VH5qRpqC2n7Qwkp3yV00zhjA4PIyvC1TaQmZSiCHJGlsxpTo4iowuKS2WX9rIyK0F2yqm7UZHRdbQVhfRq7+zqka42I6PKQRb7tKOrh5D2Lvl6ffNalZOFjNbJnKykXbWizC8ulQR5Tn6BJSexT9LVvjZkIciTRa82aWeYk18g98nSilJeidjYeHkiIXOqddsnmhO/wdIEdkgHWcPdNKeefsectrR1WEi7OLnppqR9GcmJ7NOysvmSIC8gJxKzSSvKTHJykzklWRLkVNE/njJV5lRAchorguzN6CY5Odn74dgbb27h+WD5Mpzd+F680LYDZze+F59e3IyCSUmW7uTDVy8hbBhj+C7f+owNQabE7+hJRogCfu6MXo9bu4+RLHu/LyXIuw6w14a4LS4PMHROkLMZmTp0HMjLYq+PngJy0hmNOnkWyOTO6NmLxK11cEbD3BmdaCejdmfUgYyK3lq/fwQy6uDWUjK6+xAjchZn1McoX5Gd+ImcuKtNcxJkVBLkbJbZweOsGSOqq31Rkfbzl5gzGpET74t+K2R04vhIgnziDPt1JBkdwUHeI3IaJRmlTnu0nByddkqQzzAHWdetPchupH2knFzaGSwOMiXIJ84wAms/kaAEWeyTJSeXfbI7yJaTGwfSbj+REARZN9h/t5H6x0d1IuGUEz2RuLVaLG723E4E+aGHHgIAbNmyZUzfhzfeeHP9Y5omfJ/7iOVr5za+F0m3AJi4ZQhygBPkyqJi7owaWEraGVZWL0FsPKPGa2QPMiPIkvitdnBrTRPbOxXxu5OQ0TsJydreTXqQ27tY04DGPk0fCPg5GV3Nb9XzYW0dcWuriTNq6a0ttbi1PkH8MgQZDSoyem1I9iBnTlFktCBDEeQ5eflI4A7yfEJGaU4NixYr0l5bjxieTRdxRte1qJvPNhMyukP21mo8G+7W9qzjfjFzkAOBGN4XTdxakZPmQ3ej3Rm1k1FgWXmFJO0LSp0c5LCV+FnI6MQIMkqJ35y8AkWQi0rlPtVULCAnEovlDllyWknIaEtrpNNuAjs6e205EYLsmFMXf+1j/06eTVcjIaMWgrxUerbLCGlfQAlyXoFjTlnJ3Gm/pshoFmlnoKR9NnGQF5SonJZVLCAtFkslQabPXXejPSfhapN9IqT9TtIec6eFIKtGiy1in3w+rGtZK08qulaSEwniajfIvmhgWZlqsVhQUkoIssqpgJxIZCalkJz4PrnklBSfcOP+8PPmz56HHnpI/pDsjTfe3F6jaRoO9r3T8rXkr/yHfL37zXPo//l3MRgO3ey3Nuq58QT5q/chZOgOLuQU0s5AndFoxM9GsgTxcyTIosWCkKzdvMPWza21E78TZxRBtriQLg4yJcjBECPEf64zGkHaXYjfaAiyIH7FeVZKaiftew6xXHU9Mqe8TEaTjxDSTtsZRpPTdbu1Dq72mQuMIEqCnBS5T45k1MdOJEbapwgy6kaQaU7ZirSLEwlB2mlO+ihJu6OrbXdrA6Ttw2GfaE4n6U16J205TXM/kQj42e/7L0Ha6c2MrqR9FK6224mEcJDdCPKlq8A4jyDfDuO1WHjjze0/J69dwQd+93M8tOclAMAvWzZj1qRkTH/4Pvk9h/reiRkTJt+093TLEOQYv9+RjMbGxgKGgZVViyXJallaS4hfkyRZ60gP8mbROmDCQpB3EpK1s7efddVqGnZ09iiS1d4lySglWT2Nq6QXKXtrATQuVgRZEj/DSrJoi8XMDOKMihaLwSGkjOcEmbQOFKRlSDI6O6/A4iBL4kcJssWtJaSdEOT1lpwoQe5FIJYTv95+5SMTt3Y76a3d0tYpiXpETpwmr3FpZ1hG+n0XiHYG3erWFljc2ug5zaSudi51tWerE4mK+XKfGhYtdiSjXdKthY2MdtmcdkJGLScSkQTZkpPoQdZYO4M4nVhD+n0bqpZIgryUkPb5JKfZhLQXpNGc1IlEqnCQk1MxWfRFp2diPN2neJ5T6RzlapeTXu3qpTKbNTX1cocsrnbLWvnaSpCdSTt97rZ3q5w2E4K8fvUamVlXQ5Ok7msIaV9JCTI5uZlfpJ67UpqTxUHmOQ0OIUUS5BSVUyYlyGN/1OeNN95489c80xMn4Is1rfh58yYAQO3jX7L8cAwA2d/4L/zj80/iViviuYkOsrghLuBOkGkfqyTIhPjZSZajCwlbD7LdhRQE+Qgho5z4GTpr1XByRkW/r534XU8PssVBtjujDg6yIxn1M0KZeR3EL6ozOhoHmfcgCwdZNxjRFg7yCU78dBvxc+tBtri1hIwaJhAb49CDPFoy6ueudkrkPu07wt6vhbS7OMjRcorq1mZbySh1a6P1atN9GqntI6pbG89en7/ETjKc+qLlcyccZL+NIPOcLKSd79PM0ZxIjHKfhIOcm+nw3Lk47U590aNykAlpv3QVGMdy8gjyrT0eQfbGm7+usde+Pbd2GxY/+oWI77u29QNI4MDzhryPW4EgJ/gDssWisqgE8ZxqLS0nBJkQv5ZltZJYdcoeZCiSZZgWMrpdtDMAVpLV06dIVmePxa1l9EpjFJFTre6G1YqMEreWEr9lpAd5QSkhfoIgh+2tA1OlW2slo+MjWixKc/OkMzqfuLWUjK5cVK1c7dp6lo1porOhMZL4GSY2tXXwrwPbBfEDeDaUjMZIgkzJqCR+zWvZa+4gB7gzuqamnr0G0FC9ODIn08SCYhcySomfdEaHkMLJaEZSsiR+1EEulaTdxPzS2epEolz0+5qWto+Wmjq1TxGknb1m+6ROJAL0RMIpp07VzrC5zdqDLKhxd2OTzKmFtDOsXOTg1tr2qZS6tWkZxNVOUaR9gtonmRPp9y3NVzktKJlN2j7oyc0S2RhD96m7YbUk7ZQgb25X+7SN9CDf2av89p2WfXLIiZN28bprZZN87lrIPtGclpYR0l7sQpDJc5dB9ilV5pRqJcgJiR5B9sYbb7y5yWPuvBfB7R9EcPsHYe68F9VTM3Ft6wcivq/7qW/jwtCg9Z8dA7p8Ex1kQrIibogb4UYvN+LnRpBf3Q+UOpCsCAc5W7VYiHaGoyeBnAzeYnHOhYxe56fpTQcySonfBU78IlosCBk9esrW9hGFtI9E/EbljNrcWpqTbgBHTpK2D5KT242DI+UUceMgJcgObR8jOu2jIO3CQZ45A/C9VTKaS1pRHPqiLTkJ0m643Dios3aTUbdY2Hu14xRBnjQuMqcTZ3nbRzSC7OJq7zr41gny7kPs+6PlREn7iTPkuXNpj3HcpzAn7aNr+/AI8q09166xG7cTE73/R8Ybb/7aJ/bz/4qQrQ7u1c57UDIlFQ/vexkbfvE9ALBcd/1W59YhyH4/pz+KZC2ZV24ho5T4CZJF3dp+0e9rmtjU2mklWYIg9/YRF5IQ5G5FkKWD7CPtDD4fulaSdobaFdJHdiSjsDnIuQ5ubTCIzCTVzpA6cXIUMsqooWixqCwqUTmVKTK6sloRv+aaEUi7JH78FjSS085eRdrvtOREnNFWRdrXNTvkpGloqa1XOVWRnAgZpcTP3joQkdOAIu0ZyarFIi89gzjIeY5tH0sIGV1RRUh7XT0hyIq0r29eKynpptYO3hdtPZHY2WMnoyynbV18nzgZFd7xuuY1crc6GwhBpjlVL5E0eUm5amdQDrJhJciCtAdJ28egPSe2Q/nSadcxO5/sUzFtsagkrrbap5aaegtpF/u0vkXlRAmyNad+x5y20pzaO1ROLYQgi75oDWimpL16MX+tYWmFyqmSEmRH0h5SBHlwCMnjJzCCnJyKSQlsn/LTMzGO79OUOK/F4laexMRE74djb7z5G5ng9g9F/PBb+t37oT34YfnDMQAs+P6D0B788E25pW9sHOQT4kYvTvzSUhjtciKjduK36wAjmm+FZNHb4vYeYb21ugEcOgbkzeAuJOn3FS0Wrg6yzh3kyZHEj7ZYSIJsbx243nYG3u9LyejeI4xQ2km7E0HWNODVvSybqMSP9kUf4QR5pJwEGT0PTE+FvPnsz83p8gCQ6EZGhdN+BkjhOR2hvdqcjPq5W5sj3NpDzDl32yeRU2k+AL5bricSeXDs1R6JtI/mRELmFAZCunKQaU6BAMuKtDPg4iV242CEq33WenIjchL75PcD+w8D2Rmje+400n08Yk62kxvDAA4ec8nprHruRnMiYekfd3GQHXLKGjcJh9dd/w1PHkG+OfOZz3wGAPC2t71tjN+JN954c7PGNE1s+MX38LX9r4z4vc+t3YbqqZnX/WvcMgRZ9CBXFCoHeQlxRldULUFMbCQZ7VhB3FpK/IiDvM3u1kqg18dvAAAgAElEQVSS1Rfp1moaNnWom/TWrWklJGs177n1YU3tcvJpeto6QMhoqSJ+s8UNcWEb8UvhxG9oWBLkzORURUbTMiTJKs3Jk+0MlaTFYkm5cpBXLKpGbHwCI37EGe0irQP9qxVB3tjWTkh7t/Rpd/T2R+akiZwCgAZsbu+Ubui6llYL8XPKiZLRpeWVLDM7Gc0viJ7T4BCShTNqIX4ZGB8fSUbnF5cSp53kREh7S+1yTkM5GRVubbNqsaD7tFW4tSKnGNqKEkMIsspJklHSztAp+32tpH1lVbXaJ+JqVxaXELfWiSCHkJGUrFztiZPUPo1jJxL5mVlkn/KVq00c5CWyFcW09I/LfYKJzoZVthsHBUHutJ5IiGyI0y4z4w6yfO7alYPcL9s+NHQ00JzqZE4rqtVzt4Q4yJac8tQ+5adTVzs1giBnJKVg8jjeHkNyuiMu/i/0J503N2K+9a1v4Vvf+tZYvw1vvPHmJo6maXi4vgPh7R+SzRcA8O8LVli+ryE9D8WTU27se7lpBHlUzugJINPBrd19iJEmvx/Ytd+dII/UzuBKkCnxO0EcZAdn1Ilk3cGuksbANWDSBE5Gg8x1tDvIAT8jWW4OssjJL3KixC85kiBfrzP6yj6gdJQ5ybaPnEjiZ2mxoKSdk1GndgaR02hcbZGTaB3w+9UNcaMloyMS5Cj7RHN6dS9QWuBORg1TkXbDAA4cBfJ51+8xJ9Iu2hlGaLGwEOQR3FrhIDvmNBHwC9I+5Tpyok77fva8UFc7giBHyymPZbPvMNsnneyT/UTi+BkgS5D2C84nElcG2GcawjowMAhMsuUU5OXzsTGMMMeSE4mEOEaQx0/2CPItPF6LhTfeeEPn82/8AZ/f/Uc8t3YbNE17y/+eW48g29xaRUar5A1xLbWkdWBFo3Qh+8XNZ6bJiR8jo1tJ68CObkKyaItFl3KQN7Z3SgJKCXJ3A3VrlyviZyej0q0tsbq1Ph8jWRkzJPFTJGtYktGMpGRF/DIy5afpS8lNetIZNQ0sKa+0kHZFkOscndF+StqJg0xbLCxklBDkbSSnzcTV7m9ulcSva6VwazW0kLYPK2mnfdGqnaEkN5+9trUOZBJnVJBRltM42c4wPj4RMFi/bwKn65WEjC51cbUjCDLJyXGfBGk3gR29djLq5CB3ydf9zWs4ddfQ2bhKdkdbcpL7pFnJqNMNcZS029zaFAfSnpeW4ZjT/JLZjLSbrBXFMacaRZC7Glcpp524/5vbOqWrva2TO8iaeNYEaV9H9omc3EhXW2OnHNxv72psks8jdZBX0JzIiUQlPZHIUS0W+bJ/nDx3Q+q5y0whOaVnsOfOMDAl3iPI3njjjTe3y2wvLMevW7f/WT8cX8+MTYuFnfhJB9mBZI3oQuYwqvUKdUZdSBYlo/uOALNyuDN6jBM/4kJGfJreiWTZyKjFrXUiyG4OMu/3jdbOcEQQ5D+XjLrk9Dpv/rCQURtpFz3Ihs5zymB5nDhrJcgiJ4tbe4X999eFM8qJXzAc6SBf4zlRZ9TvYzepCbf27AVO2h3IqH2fInqQD47CQeZkVIuSk9wnk7m7M99iTvZ9ciLIIic7GZU5XeE58X2aOJ69tpN2uU/E1T54jL2viOfuoPM+Cd8/2j65kvbDzicS8rlzyEmcSFh6kK+6EGQHV9slp6wJk3G43yPIt+p4BNkbb7y5EXPLEOQYn0+SUdViQR3kxdJBpiSrQ7RYGKaVjJJ+X0ay+O1ehIzu6CHOaKdyRqkLuX5NqyRZnaKdAUBzrTPxW1o+34FkMfqrCLIifpnyJr1hSfwybJ+mHx+fIOlqfGx8dNJeVU1aLKw5qRaLVgvxi7G3WJjAdkL8tltaB5SDzIgfI3v91EEmxK9F3BCnaVhBWiyWkJyspH0mz0lXxC8YIg6yIn7pySnEreWtA4aBktx8RUaLCRktn++6T5a2D75P61paLfskcyJkdKdwtWElyFulgyxOJBh176f9vo3K1W4WBJnmZFpzovtUkpev3FrqIIse5KFh5SCnpGISJ+35mTMIQZ4p92l+SanjPlEHeQ0h7V2Nq+Rzt85G2mVO5GbGHaJ/HMB2mROwtbNb5qT2SUPfauIgr2yU2TTX1CHgD0TmRFpRKotKrCcSmgaEQsjPVPuUPiUp4kSC5lSQOQPj+GnNHTEeQfbGG2+88cZ5bihBPj90DdPtDrLfD5wirQPCrfX7bW7tEXWj12gc5FdEOwMhWeDEr8RORk1g72FCRoULaTBSG0GQDRe3lvfWRjjINmfUqQf5ygAQz1zISDLqQNqPnATSUx1yOkr6fV2InyDtmo+0WDgQv+I89po6o3sPM9LuSvxszujpCyonezuDJO0urQOupD1OkdEJ4yNzEv2+fj9zowVBtpHR8oR4ZFwbwuNGGEb+jOsgo6SdIYK0U7dW7JMLQT5+Bsgi7QzTHNzay5yMjsrVpu0MV8jNjPacHEj7EU7aA37gwHH23y/iJr1D0QmyIO3S1R6p7SNKTpZWFNvNjI4nEmKfdPZcjZQTbUX5G3aQNU07C+DwWL8Pb7zxxpsxnBmmaY74Cb8b+gPyQCiI5C//B4ZCwyhPzcDrb57FUHAYS9Ky8cKZ4wiGQ1iemY9nTh1BMBREc3YhfnJsH8KhMNrzSvD40T0IhULoL5iLbx98DeFQGJsKy/D1/a8iFApha1EFvrLvZYRDIWwvqcSX9vwJ4VAIO4or8dDelxAOhbClqBxf3fcKwqEQNhaW4+v7X0E4FEb/zLn49sHXEQ6F0JVfgu8f3oNwKISWnEL8+Ng+6MEQVmbPxM9PHIQeDGFJRg5+c+YY9OEgKtNm4I/nT0IfGkbptAzsevMs9MEh5KVMw6Grb0IfGERGcgpOXrsK/fIVJKek4Ny1q8iYMBlXQkFcGrqGvMnJOD04gKvDgyhJnoaDly/iWnAYlVMz8MqFMxgOBbF4+gy8eO4khkNBS04t2YV4gufUkVeMR4/s4b+nOfz3FMbGwnn4+v7XEA6FsI3nFAqHsLO4El/kObHMWE5biypllpsKy/C1/Syz/pnzZPadeSX4/pHd0ENhNGfPwhPH90MPhrAieyZ+eeIgwsEQlmbk4jdnjiIcDKJy+gg5XR1ERgrJKTUV5wauXH9Oadn4Hd+nFZn5eJrk9JPj+xEKhfDhCWl4/0f+L4bDIZzc0I/izLjo+1RciS/tfQnhUBjbiyvwpb1/4jmp79nI/9lwKIy+mXPwnYO7EA6F0Jlfih8c3o1wKITm7Fn4yfEDCIeCWDFD5bQ4PRvPnz2OcJR9yk+dhoNX3oR+9RrSk1NwanAgcp/CQVwatOZUmjwd+y9fwGBwGPOnZuKVi2fUc3f2BIKhIFZmFeBXJw9H7FNnXgkedXju2D6x3+vW4gp8dS/bpx3FlXhoD8tpR0klHuK7ta24Al/mmW2YVY5vHHhlhJwK8cRx9twtn1GAX548xJ679Bz89uwxhIeDqJiehZcunII+NIySael4481z0AeHkJsyDYevspwyUlJH/dzNTUnDS513j/rPM/mH5m38A7I33njjjTejmxtPkN0c5BQH4ufo1vqBPcQZff0AUJjNP02/j5EpN4Ic4YxySqpzglyY7UCQXYifq4NM3NqBQUWQgyFG9Nyc0ctXlYPsRJBFi8UoyKh0kCVpt7m1djI6Uk6jIu3UraUtFhed+6IpaXdytV1zugIkJrLfx8XL3K31RZ5IJBMymp4SQdrrn3oej72wC7Gahq/E+LDtH9ZF7tNocxLNH05tHyKnAgfSbm/7iLpPxugcZNnOwFtRRIuFaEWxt1ikJrGvHznpmJPs1fbzE4m/5D7ZW1EOuOV02pbTVE6Q6Y2DV4nTPghMnMCocdjp5MZG2rmDPGPCZBz6G3OQvfHGG2+8Gd3cUAc5njjI5UXKhVxcVoGY2FjANLCcOKOrltVKF7Kd3HzWKxxkE9jYrm4+29Jpc2tjqVsbE+nWdhBndK1yazsbmuQn7ltq6pULWb2UtTZAw9LySgT8PgD2G72UW5snndGwcpCHg9ytNZCekiJdSPpp+pLcfCRyt7aCtFgsLlc51VdVIzaOebbNxBmlDnJfC8lJuLUmWAaWnLgzKts+gC2k33djW4d83UduPutsXM1zYm6tckZVTovLykk7w2wE+OuS3DzpauelZ8IP1oOcIVoHhoNInsh+MExPVjnlZ2Sxm/QMA6V5+YjnDm1FcQni4tkNjIvLKmQTyopqtU+ra+qkT1vT2orEmBiYABp6up33yeJq2x1kvk/dvfL1RuK09zUrp72D9CCvriHtDBZXW+1TBdmnEksrSqbcp3ThIA8HkST6fZNTSDsDd9r5PsXHsmetoqRUutp0n2hOzbX1MqcO8tz1raH71Clfb7HsU79tn8RzR/eJ5qQc5PaGBpUTbbGoWqL2qXw+y8k0UVFUqvZJ5qQjLz1L+sjpSSlst0ivdvqUZExKpK42y2lSTNyN/OPPG2+88cab23jGzkFOdmgdcHMhXR1kTpAtN8TZ3dr9QLGd+BGCbJist7ZAtFicIAT5rCLIp88zBzhav69wkEPcQR7NDXF24ufkakcQZHLzmSNB9lt7ay3O6ChaLGRftGl1kC3Ej+Tk0s4w/tQ5tFwawPPTpuCg5mMkUzdwx/k30XTuEp6enoRhw0DDqQv4WTrTgZYfP4ufTktCrM+HmpPn8ETyZEwI+LD45Hn8cMpEJMUEsPD0BTw+aRymx8ai/OybeHR8HGbExWHOhUv4QXwMhrOmS9I+LyYWuVcHceXICfzgxd2I0TR8OcaHB7pXInUoiMdDQVSPS8SksI4fDQ6yHXrLpJ3ntP8oy8nRaY9yM2NY9Ps6uNpONw7aSXsCcZCdWixOEIJM9+nAMbbnfj/7feRm2Aiy0z7lKqfdbZ/spN1yImGOjrTLm/QMntMd0U8knBzka4NATIy1f9wjyN5444033kSZG06Q/eAEubCYEL9KSfyWVy1WZLROEb/2lYqM9pI+1g2kdWBLZw8jYuCfoKevBckSXcmaxmghJ8h9a9bKT9m3ixu9AKy2EGRF/BaXO/fWshu9OPHLzJLdrOmkdSBpPCdZSYr45aanS5JVTIlfUYklJ0mQF1Uz4meYaK6tcyHINKd2Sfm2dtOc7C0WvNOXEL8NFoLcSogfJaOUIFvJqJ+T0aO7zuKhJ36LPz7wAyzImiFzOvqr1/HFH/8Gf/if7+HIj17EF574LV68/7s4/J2n8cDjz+LID1/AwW/8DA8+9gyO/fJV7Hv4KTz4+LM48cIB7H74SXzu8Wdx6tVTeO3hn+Lzjz+Dsweu4OWvPYnPP/YsjlzQ5D69e3YFXvjWz/HlR5/GD6YVIIET5C1NzXjmu7/E137wKwwkpOEX33sa3/zeL/G73Lk8b2AbIe3bCGm35NSqcuq1kNEmSdrdCDLdpwqxT6aJ4rw8mVOeuCEuGCT7NIQkQUZTrKR9HL+NsSSvQO5TZclsxHHqvqS80nJyo547cpNek7pJr4+0WGxo62CNMZy0x/D2mO2kPUa1onAaz3drg+OJhH2famVOy+k+yb5oQ92kZ5gozlU55ZKc0qYkR9zMmJGcqghyeibGCYIc6xFkb7zxxhtvnOfmEWRBsvx+995aSrL2HWaE0olkObmQL+8BZhcA0IBX9gCzZ0ZxkEkPsrj5TBDkQ8dZ5/JoCHJYV721dhcyGGKuI3VGqQtJHWTLzWcXGWkV7QziJj3q1tKc9h8Gst9iTq7Ej+S09wh3tU3gIMnp8AlGGqPk9PrHHsIsnx8hAOmbV+M8//qJj30J0/1+DJkmhgwDk/1+DJomTNNEos+HN3UdCT4f4jQNZ3Qdk3w+xGoajuhhTPP5EQtgXyiErJgYxAB4PRRCfkwMYgE8axp4x9Y1KHzzKk6cPY8nn30FsZqGZ4aGsCAuDjGahl8MDqI6MQGx0PDUtWuoi49HQNPwifFx+NDbeqKfSLiS0UO8V1ucSDi52qPoQb50VZL2EcmofZ+ogxxxk5547pKit6K4OcivH2Dk9604yBH949nq5EY47YdPqn2SBNkgpN0Azr85iv7xUPS+aELaPYLsjTfeeOON29xQghznDyAADTAMlBWVIJ6T0WrijFKStapWkaw20YNsmhaCvL61XbqQm4kzuq2X9LHaSVbAwRltWStvPqMEubl+hSNBXuJEkE0TJfn5UP2+iiBnpKRGOKNpScqFzEvLUMSP9PtWlJQgLo4Rv+pylVN9dbUj8WtfqXLqaW6Rr9e1trOb9ExgS1e3S07KGaXEj+bUu0YRv44G0hddNzJpzy+vgC8QgG6ayJ81S+Y0NTcX4D8gT05LA/x+XDUMJCYlIcS/FjdxIkKmieTcXGzY0IwvluTiI+/ejrj4eIQBFJSXIy4uDjqA0qoqxMfGQgewbMlS/OEbT+GLjz2Dn46bjoS4OBgAaltbkciJcOm2Lfi35QvwmfJZGPjIB5DAv966cRPrSubZxDi4tZac2jotpF3m1LhK7lxzzXKZ0/KqxSwDAIsJaa8gJxKuBFm4tUPDiiBPIU57hiKjxbl5ZJ9KZUf04vL56rmrXiJPJFbV1MqTmzbq/reskacTG9o72Gubq72N5LTN4rR3K9IuT2586GleYzm5kU472aflVeoGS7VPBspJD3IxcdpzHUl7EFPIyc3ExEjSPinW60H2xhtvvPHGeW5ei8X1uJB2B/mNQ4zI+f3A6/sYqXMio6UFIxC/6yXIpMXiNCFZF9wI8lAkyQqFGS2Lc2pnSFDEz9I6QHPiLRYWgsxdbb+PEb/cDPb9uw6w34cTQS7K5TcOkpzspN2RIB8GCqORUQM4fprnZDCCzHN67eMPocjnRxCUIBs4+bGHMM3vx7BpYpASZACJmoaLhoFETUOcpuGUrmPRPZ1YcvIcnkuMxxvfeBIxmoa94RBm+AOI0TS8FgxiZiCAWE3D74eHMTs2FjGahueHh1HGXz87NITKhHjEgTnIO97ZD/h96PnOU/jC/hMIQMO/j4/DP9/TPQJB3sde21tR9rm42hbSfkbldOa8cmsdCbLtRCLk1Ipic2vFicQFvk+BKPt09CTrq7Y47WSf/D5GfsU+vb4/kiDbc3I9uSGkfc8htk/RCDI9kZD945QgUwd5FDkNDLL/ayPt2RMm46BHkL3xxhtvvHGYG0+QBf0pJmRUtFgYzK0VZHR1nfo0fduKRkms+lqUC7m+rVOS0c02Mmqhf5L4dUuqtcFCkNdIgizJqAY0L1cEeXn1EvYaGhZXVPJP1rsQZN1gxA8OxG/iREWQxwkHOctC/IQzWl5cgliSk8hmuWgdMEysrquTZK+9Ud042ENy2tBqJX7i+2lO23pdnFGa0xonMurD6trlNmeUEz+SU0F5BTROkPNmzpLELzWX/bA+aBiYnJ4O+Hy4qutYv6MTny/JxV1v65MEeVpODvZ+7Sl89ofP4eVXT2BTXyM+PzsPH/nnv8eOrhX4/Ow8fOmDf494TpPnL1+O+NhYGACqV61CQlwcTACl/T34l4Yq3F82E7//5IdlHvHvfw/+vW4+PlVZiDP/+VGVjQsZpQ7yenKTHiOj4kSiUZH22uUO+8QIssipvLiEUWNdt5xIqHaGMNKSaIuFuHEwVZLR3HR1IlGcbyXIYp8Wl1eqfapawp9BE6tq1D51NK0iTnur1f2PVyc3NBv5urefPHe9kqJTB7m3ZY38OiXtq+tUTvVV1eREolISZEnaDRNFkiDryE3LJO4/ObkRDnKqyikvPUM+dxM9B9kbb7zxxhuXufktFhaC7ONkNJW9triQ3EEO+BmBEi6kuBXOZyOj9NP010tGLW7tcSB3lARZN1ivqiNB5v2+oTAjZHGxVuJHb9JzIn5+n0MP8lT2ddr2IXKykHaeU2GOM0F2c5Ad+6IPWYmfo4NsI6P8Jr3XPvYQCrmDXNS3HIsHgng2LRm/vv+7jg5y3l3tWHHyHH6ecgf2f/5RxGkaTus6Jvt8iAVw2NCx4q5OLDp9Ho9OGocr01MAvw95rx3Aq48+g1gAfwgGURwbi1hNw2+HhlAWF4dYTcMjfqDvXeslaa9OSEDqUBA/CAdhFubynPayxhNJQ12c9oh9MtU+2U8kDp8EcsWNg6cdc3JusYhyIuHUYkFv0rtwCZhEWyy4g3ziLDCVPncO7TGWfRIE2cd+34U50VtR3AiyuFWP7pP9ubPczHja2j8eQZDt7TGD7PdLb7B0Jcieg+yNN954483Ic+MJsubjDnIxI1m6gSpJkE3UVVXJ16treA+yaaJtJSGjq9dIerW+g36avluR0Z4+7taa2Or2aXrq1pJP07c1NDGapwHNdU7ET8OSCifiZ5A+VoO5kOB9rMmpnCAHkTxxMiPIlPhNT1fEL085yOXFwtU2LQS5ftFixMTGsJxqqTPaZCHtIo/17Z2c/kUSZJHTtu4+0mLh5Ixq6BVurXBGo+YEVBMHuaCsXDrIr75yEp/76fP44wPfx/ScHIArFtRBPvjdp3H/D5/Dvid+j7gJExAyTUzNzkZcYiLCALJnFWLXwz/FZ3/4HI7uOsvbPkzMW7hQOshFK1fgXWuX4bNzC/DQpz6Cf2pegv+ZNxM//497ZWb/t2wRfvnIr/DVR5/GK1NnEjLaS5orSE49ioxujmhnEDmtsTjtIqfVtarFwpJTmUuLRW6+2qc0ciKRrE4kphCnXZJR4tYW5+eTEwniIFdUymdteZXVaZftMWSfeug+tVn7ogVp32p57vpITt2EtHcQ0q6eu1aS0yrS9lFPnrsq0mJRRp67InuLBTQgGGKknT93qu2DEmSVk0eQvfHGG2+8cZsbTpDTvnofgtRBtpNRSpCpgxyNZNkd5GjE77V97OuUjEoXMpf31h5hvq6FjDq4taLF4tybjMRZCDIhWaNpsbh0FRjndvMZz0kSPz/rHRatA6PJyUKQbWTU7iDDZFmKnJyIn2Gyft+ZdoJsAMdPAVlpETlRgnzC0JHtDyAIExd0QxLkQdPEHT4frpkmQFos4n0+xNsI8tFwGKncNX7d0NG1ow2VZy7iT3oYL/zoN4jVNDxtGnjX5mYUvXkVjwT8mJ0Qh7wr1/CID6hISEDmtSEM7zmEb7x2CDGahk/HB/Cuv+/jdH0f+32PlJOg7m775Eja7ft0DkifqggyvSFutPtkv5lRtFhEEGQnp/0E+/X9fvZ+s9LY9+w+DOQ5OO3U/X/F5h07Oe2v7QdmuxFkh5xkr7YDQXZytZ0IclRXO8BOb8hz5znI3njjjTfeuM0NJ8iU/jiS0apqSUZli4VponVlo+pBFiTLZB6xeL1JOMgAtvYSkkVdyG7ljK4jrQM9gvgBaG9YxWkosLq23kL8xOvq8gpGrEwT5dKFNFCSl89Jlo68DP5p+nAY6aLFIhiSzmga+TR9Tno6ErkLWZSbh4S4eEBnxE/mJHprDQP1pO1jdd1ySfzcclrf3uFKRqkzGohhRHNTNyF+HdEIMvueVZaclioyWqFyogT5I+/eji+UzcLatlr83Xu24gtls7Cqow7b3r4OX5w3Cw3tNUggLRbxgiDn5EiCnF5Sgk3rmvDg7Hx8+r134tWvPYnP/ug5PH0JuKejHp+dW4Cf/9M78OI3f4bPPf4s3rzix2+/8wt84fFncSU4Hs888ks89Ngz+HbBPCTGxsIE0NLXL08kNnd3EzKqcpInEgC2kJv01hO3tps4yK0rGxUZJTnVVy2G3yf2qZLlZLATiYDfD5gmiuQ+kXaGcBhppBXFSpATpYMs9ykv37JP4uTG+twtIfu0Qj537U1NLAPDRE/LGvbaNLG+zWWfevsdHWS6T+ssBNklpxprToIgV5epk5sy0YOsGyjKzVU5ZSgHOS05Mifmao+XbR8ipwneTXreeOONN964zE1usRB9rNStdehBdnWQ+afpC7MjHWQngmwnfk4kSzeAA5QgOznI1nYGRZBtLRYDtt5aO8kSBDngZ5/Cj0aQ7W0fIxHkgB/YdVC1fby2T7nadjI6Uk4WMkrc2v1uOZ3mBFnHuCOn0T4wiBdTp+Dbn/s+in1+BGGipGc5lgwM45m0ZByMi2E9vbqO1AtXsOrUOTyZloK9//OIJMhxnCCf0nVM8fkQA+CIoWPlXR2oOnkBLwR8eOn7v0KMpuFFQ8eOrWsw9/xl7B4YwNM/+z1zkIeHMY87yM8MDWJBfDxiwXqQlyTEIwAN98cH8K539I6OtIsTCfs+UYKs85v0Zjk57Sontk+pUZx2TkYnjmOvab+vaVqd9oCfucuyxcKBIPt9bJ+mJtsIsu3kZs9h0opy0Oq0y33ay9tjXJ470fZREuW5MwxgH83JyWm3uf/nLwFTo7n/YSAYduhBHlQ3WF4Z8FosvPHGG2+8GXFuWosFI8iMWFURklVHWixW1SoXsnVFo3zdvbpFkqx1re2S+G0iDvJW4oxu6VG3xW3q6pE+MnUhe8VNej4NbY2rCBldzqmWW+sAUFZaioCfO6PCQdYN5GVkyqaGNOEgD4dkD/L0KUmMIBsGcgXJ0q0EuUy0WOi2to9qh75o00QrdbVbVE7r2zssOQnit4U6o+RWvc3dvYzku5FRgDujnLTXqZzqq5QzevToVXzupy/gd194DJ9+7534Qnkhutpq8KdXT+KBJ1/AHx78AQqnTmf0LxTG4R//Dg/85AX87oHvIXHKFIRME5OmT0ff1lY8MDsf//DOTYhLTIQO5iC//vCTuP/Hz+H5o1ewtWclPju3AN9839vwx2/8jNHk8DjZfVy6dg3e27IUny6biW985mP4YFM1/rtiFr7/4H/iwysX4VOVhdj9yX8lJxK835d77JImUzLqtE+axhpExD41NTnuE8vJD0BDNdkn6rQXyR5knRNkHxAKIS0pme9TEEkTJ1mddoM1qCinvcCyT24nEk4nN22WVhTl/q+j+9StnPYtvVb3XznIap82dKi2D0rarTnVk5wWy5yqylKkDJIAACAASURBVMsVQS6hOSlXOyctnbv/YUtOirSnMIJsGMhLV8/deI8ge+ONN9544zI33kF++JMI6uEoZPQkcZAdPk1vJ6MWF3If61e19/u+vAeY40SQeQOBYbJbwop4o8X+I6zj1UL87G7tOdYiYejAWSeCbABXr/FP09sI8kjET9x8Johf0ggEef8xIJvfpGfJ6QBxkCldj0b8CgAT7mR09yH27zE4GS2YwXtrnUn78x9/CJXcO57XuhQLdBO/mZaEJx74HnJ8PgQBzNrYhNqLV/GL9BS89D+P4A6fz3KT3kVdx5R/2gwE/Bh37hLOP/A9xAI4Eg5jWiCAGABvEAf5JT2MF378W9ZiMTyMUt59/IRmouV/beRk9BB7vxE5EVfb7taOREbdHOR9dJ9cHORT57irbSPIb15h//0FGZ0wzv1EgpLRy5yMCoI8kRPk0+eB5MnEaZ9ie+7sDvIh1gPu97Pf30g5vbwHmMNzEs9dtJzEcycc5Hy+T4dOMPfZ8eQmlX3POdqDfNWBtIu2D/tzdw2IiY147jyC7I03N3c0TTsEYIdpmk+N9XvxxpuR5sY7yJoG6AbmFRWRFotySbJYiwUjWU21tRYHWRJkekMccSE3EoK8pafPQvwkGe3qlVSLOsjdFuK32oH4AXWS+HFnlDcNlJeWsp5W00QxcZBzM7MkQZ4uPk0fDBHil8KcUcNAznRF/IrEzWemgbKSEpecCEGuq2ek0zCxVjjIpqlaB0xgXVvHiKSdEb9YSUZlTpSMCtKuaWhtoG6tarGoIz3Ic6qq4AsEYJomfn/kCh588gW8+PlHkTtzJrRAACHTxK5f78EDP30Bf3jg+7hj2jTWYqHrkiBPTkvjbq2BzKxM6SDPKCpCXHw8dADFs+fg5a8/ift//Gv89oIhWywq6+pkD/KShkZCRldZ+qIpGaX9voIgbyakfUuPM0Fe18pJO6AIsqahtdGJjILlxB3kqopKmVlZcTH3kQ0UkV7t3HR6IpEinfYp4/iJRFKyJKO5GZlqn0QrimmgrLRUtn1Ukx7kessNlstVTrIH2bQ47TQnC2knrSiUtG/s7HbOaU2ryok6yHV1ap8WVaucysv5c8eeDfHcFeaq5y4nLUOeSNCc7pgg3P9UTOD7lJOWgcQEz0H2xhtvvPEm+txQgnxhaBDTH76PEeTTnIz6ORl16mPdfxTIZrVf0oW03wr32j5G6vw2Mvrybkb5NBvJoi0WlCBbWiwoGSXE79hpYIZwIc8rgnzuTUZ2KckKCxeSk6zhIDAu0Z0g24mfa2/tCMSP5vSGjSDTnCjxm13gkNNelt9IOYkWC0n8DODYKWAGc2t/84kvYz4nyAdDIcyKiUEQwIlwGNkB1mJxKawj1c9u2BswTUzx+TDAb9Ibr2m4YBhIet8mTpDfxPkHvs8Isq5jmt+PGAB7QyFkxcQgVtPwSiiIQn6rniDIsZwgf3hdE/KvXMN3fEBlQgKyBgbxHdNA9bhETB0M4hE9BEPcxmjZJ0GQwb5O98npRMJtn0ZDRs9edD6RuDYoXe0RyajbPp0+DyRNjnzuDp8AMvjtefuPsT13IsgzZ7A8xD6JE4nSfJbZn1wI8mhyogQ56nMXhbTT546S9uEg23F642DAz/Idl8Ad5DtwsP+do/7zTIxHkL3x5q2NR5C9uZ3mhhLkWL9fEeTiYnmj16Kycv7aRO3CKmcySuhft4VkdVpIlnIhlTO6pbfPSvxEO4MgyLC1DjQ08tdW4ldfTT5NTwlyiSLI0oU0DORkcJIVJJ+mJwR5epIiyNnkRq/CXNU6MK+oCHE8j6rycuVqE+LXRB3khkZJ17ua1zjn1NltIaMqJ0L8Im6IYzl1WXJSZLSpro7ktFTm9Kl/fTcerCxC39ql+Jd/eSceqChCR1sN/vH9d+NzFUVY016HlJwcaIEAhgwD29/ejwcrCrGysw59O7tw/9wCbH7HOplTZmaWIsizZiEuIQE6gNyKCmztWYn75xXgyx94B+Lj42EAmF9XJx3k5po6/Po7v8SDP3wOl4Pj8atHfoXP//A5DPiS8LPvPY2HHn8GL08tYJTefiIh9knTuGcbA2jARgtp75Q0tMttn+rqraTdx3xaCxklJxKFucpBzklX+zSduLWCjE4XZNQwkJuh9qkoNx/xwkEmN+lVlZP+8eolykGuI/vUtEruU3fzWtl9vF7sE5iDzL5uJe2bLTkRgiz6xzUNXc1rZTZrVzTI1021ap/qqpWDvKisQn4OYF6RA2k3DJYTPbnhjRZ3ENIucspJz0RiHMtpPD9l8sYbb7zxxhv73HCCPO2r/xnZYhFBRsmn6WdMj0KQ/Yx0Ure2RJAsSpB3A3NmMXol+n0FySoWJIu4kPt4O4NhAIeOM4Km68CxM5xk2ZzR86QHWTqjBjBwjbmfug4Mk95aSfx4b62d+J2/BEwWxI+S9tO8dcB3/Tm9upf42TYHubQA0AC8TMjoq/sYCTSi5ORGRo+d5gR5FDmFdRz7xJeR5vNhGCYmvqMLoYkTgGAI6ZcH0HjsDH6UloQ4zYf642fxizvG442v/gQxYD3IwkHeZego/afNgN+P3Ff3s5v0NA1/CAZRysnyb4aHURYfh1hoeHpoCNXcTf7Z4CCWxccjRtPw/+IDeLfsQab75EJG7ftkd9rt+0RdbZmTvZ2BnEhcuqrI6OAQIchBIDGRkVEg+onEeRtBTnYjyFMjnXb7iYQbQS6xkXb7PrkS5INAIdkn2avt1h4j3P8opF08d3aCLHIauMZIckD0jydwB9kjyN54czPHI8je3E5zwwmyaLGYV1wsyeiictViUUs+Td9YWycJ8pqVDQ4E2WRklLu1G0Q7g2licw8lyOvkJ+g3dSvit769kxEun2ZxIduaVsnXq8gNcfXVivhVV1RKklVWUqpIFnGQczIyCUFWDvIUSZApyVI36RXmKeJnJe0VirQvqiautsqp1ULaW+Xr/vYOmdPGTidXW+P0jxM/2hftkpPFQaZktHqJIqNuORHi9/b3bMUDFUVo7KhDyrTpsrf2wHefxv/78W9w6IcvYu83f47//vFvsOu53bLFYkZhoXSQZ86dJ/dp3qKFkhrPr6mRr2evacG71yzDf1UU4rV/eS8S4uJgAmjs7EQC95TX9PWTnCgZ7VUOcm8v2afeSIIM4rRb9snmalerFouq8gprToIg5+cpMppGCLI4kQiFccf4iRH7lJ2u3NrC/DzeGMPotCLI5OSmWvUgN9VZ90kR5DWSrksHGfYWi365T1v61D5tiiDt7OuMIFMHOTKn2kXquVskbtKLIO22586BILPnzsD05FRM4G0fOZmqB9kjyN5444033rjNzXOQZR+rIFkOBHn/UUbYorq1/NP00UjWn/YAc2c5k1FBst44yD9Z70aQqVtrI6Pn3iR9rFcVQaYtFkHuINuJn7hJ7/JVRrosrQM+RhaTeU7HzwDTHAhyNOLn1GLxMm342M0bPjh1n+tC2iUZPaRaLEbMibranPhNEwT5MnNhbc7otAuX0HzyPH6SloxdD/5AOsgJmoZ4TcNJ3oMcq2k4pIeR5vMjRtPwmqFj7vs4QX5tH1579FnEAvh9MIgS7iD/CCb+rb8R+VcGcOrYGTz2h92I0TQ8NTiIpYmJCAD47/gA/tc7eh2aUMSJBNxJ++skp72UjB4BCkRODq62wfeJOu2ONzOSEwna7ytOJAYG1U16hIy6O8in1c2MFgeZPHfUQd61n7VxiM5x6moL0v7SbmAu3ydxcgNTedsROR0awdWOsk/nLjqTdouD7JJTbCRpz5kwGQe8FgtvvLlp4xFkb26nuaEEOcbngw8aYBiYW1SMuLg4wDCwsEy5tTWLqhEbx6hnI3Fr1zQ0WN3aOEay+traJb3aSEjW5l5CRvv6bWSUve5vU5+m717bKimfhfjV1SPgEy6knYzy1oFScvNZPndGdR05mYJk6RbiN2UiI37TklIwYdw4wDCRk65aBwpz82RH9LzSEsTFU9Iey0m7yqmptk66pGtWrlQ5rVY5rWsTBNnExu5eSdc3k9aBLb0qp03d3Zz4wUJGlVsLrG1skjk1SYKMCDIqiN88C0EukGQ0W7i1YR0Hf/QiPvPk7/C7z/0AvXd24b/nFWDT361D1/Y2fHpeAe55zzb0bGrBp+fNxHv/6W6sW7cKny6biX/90DvYPpkG5i1YiPjYWIQBFC+vxz3tdfivill49f1/h2e/+0t89oe/xuPTcpHAb8+bvXkDPthYhfsWFGPPJz9CyKjNzxZktLdPEuSNXd1yn9a1d3DSDqtbS9oZmmQ7A9knk5JRfkOcyEmQUV1HdnqmbGeQDnIwKPdpegrZJ0JGi3LzER8bz09uSmVOi2j/ePUStU919YjlO9fauMp6IkEJMqfrGzvVyc2mXuogq/YYy3MnTyRs+9TQqPapts5xnxZSglys+sdn5eVZ3X9OkKdOSZI53TGBO8jJKRifkCi/V5D2xJjYG/nHnzfeeOONN7fx3GSCPJGQUUGyTnIX0vZpetFb6+TWUgfZ8dP0Lg7y6/vZ9zs5o6K31o2MnjrPCLJhsB5kQUYvXmaOZ1hnhFi4kOLms1DY2mLhRpAjbj6zEb8IgpzGXu85zMibjxJke06cjEa42jwzE+z7KfFzzOkw66B2zckATp1l7zOKg4yBQUnaz33iy0jiLRbj37MOiI+LcGvzh4OoOX4W30uejAvTkiJI+//P3ptHR52ed77fX0mIXYBUEotUQkglJLSwSIIGiUULIAlU2qUq0XTHJ5nYOR0n45k5N4k7M0nG13Z8kp4ly3GOk7k3mcTXjn2czMRO0smd7hvP2E4ybvfOIjaxN2sDDTQNWuq9f7zb8771/kqi3Qjh/j3n+KRQCyi+/RRd+byf+r4lh07h0He+jzmeh//Jktj9S88CGSFs/t7r+O4P3sIcePifH3yAbfPnYQ48/PGcEH7uXw6nutpviX1KS9pPkE5kQUbZNPfp/GX+7025tfk842s39YmEqxVF7hN12rPm8H/uIKO+BPniFfK6s1os5ImE0WJxipNwv33yZDZr3a87m7Qz20E+p29mNAiyaLFIJoFLU/RF+7VY2DnNSX3drVm8DKOBgxxMMDM2AUEO5kmamSPIFdpBfoo4yLu2UYLcTAhyu3o8QBzkYfJpeuogP0udUcOt1WR0uJcQ5M5udUNc1942RY39yWi9on/arZ3EujLt1pYUUoIcVregKYKcExbETzij8whBlsTPh7RTgtzW3Kx85NiePSqDfnXzmXCQVU5DJKeE2faRlSVaB+KE+PURgtylcyI3DrY3t/A8PKBJ5uSZ/b4bFRmdNBzkYpLTs59+Gl+ur0TrQAtylui2D+nWli9fgaNfewm/+3f/jHOvjGrSXlWt9mn57mb8zOBu/G5dBf74i7+sssl5egj/smsX/lN9Bb72B1/EL+3fgf+4uRI/+o//3twnQdoPDgwR0k56kBPDgiADB5XTDgz39ak9G+jUJxJde9tVjy/dp6ZG3au9bZPcJ0Ha5YlEic5pdUGBIu0rDac9G0gmsTJPk9HiggK9T6UmQc4S+7SNuv+kxaKNnkjsbVO3MQ7s73Luk3EikdAnEj81pEn7wQGTIMvM+vfH1K50kVaUtqZmsk8NmrTX1el9Ui0Wk6ggBJnmtDzHIu3JJFaG89Trbk1hRBHkhYGDHEwwMzqMseLgzXEwT8rMYA/yu7qdwZcgnyc9yGc0QbbJqHQh3/Iho5JqSTJKb0GrLgMmZTtDifAiz3KvOR0ZvXSNP0+bjN4Ubu2kD0GmN599cF8TZNsZlQ7y1RsPn1NphBNk2hd9iNwy+JZF/NbTnIgzSsmoQZBFTlORdkr8kgy4dsNya0VOhCA7cyJkdMG7t/DuV/47sjwPo8lJlInmiod3a08DpUWpvdqHhKud4ZMTwL/ul5OLIBtk1Icg+zrtd4irPcU+UTL6nu73xY1bwJLFjn26AqzIc/Qg+7zujpwCKoqJg5xmn2hOLtLuOpHwy4kS5MvXzZv00rnakiDP99+ngCAHE0wwwQQznZlBB7mKEORa9XhXg2hnYAx7Ccnq3K1JVv/+TkWy4j3ahTw4MKgeUzL6U4lhQUY9HBwcUpRvuLcfczK5C9nf2aVaBLrbKRmlJIv01tbTm88IGS0r45+sF3RKE+Q85UUuW7wYSCaxnBLkQu2MlhMHeUNllbPtY9c23WKRkpPIYKAzJnxk4WoLMvp0v7757NlEwqKknKI9PaBzShBXu7+zS5HArjY/4idyYsDWWk1GNxAyWlGqc1pdqB3kVXmpOa3IDWOxIKN5xcUY+KkYfre2HP/Hr3yKkNEq5dY+tcmvFUW7tV3Ere3vjGHOXN5ckejTN8QdJDfEPSudds8Tni3P6eAAIcjSrfWA/s6YosOxPW0GQVY5NeobBw0yauckyGgRcbXVPo1bOdF9mj9f/RqatNN9qtdOe4POqb25hTjtuhVlINalGj4Svdppf5reOJggOSVMgixzSvTSfYqlknYPaGvSpH3XNkKQN+mTG3oiUV5SSlxtklOuzmnposUppH21avtgWBAQ5GCCCSaYYHzm0fcg/z8vYHxi0upjJf2+fmR0Op+mf+u4cEZDpgv55giwoQIpxI92s46MihYLi4yevgBEi1IJ8jvXgIggyNdvWm5tGjI6PsHpl+xBtp3RDEGQl1Jn1NFiQXM6KXKyWweOnOSOMCWjLmfUSUaPAzXlqcRv5DQnh9PJyXZGr9/kz5+2WExOAnd9cnI5o9NpZ/Bza0+eB9YUCFf7jD9pp20fNa6cpIMMfzJq5DSFq22TdrpPlIwarSjpSbvviQR93RknEj6kfeQMECUEuVzk9LZFkGvI6246BLkqyv/cx8/oE4lTZ4G1IqfTF/nv+2O1x0yYbR80J8c+lWTn4FTiF6f995mcgCAHE0wwwfzkzyMnyBleSNBEm/hxGrVz2zZFkKkL2Un6WPv2xxS94mRUEuQhTgIB49P0z5JP0z9tOKPahRyIdWsySkhWe0urdkbpzWebdYuFQfyibjLK+1iFg7xkKSd+4TxFRlcXFAjil0R5qXaQN1TaLRZzFWnXDrImo52yBxkMA7FuRUMTloM8R5HRuCJ+lCAfHEwYZHSOyKY/1uXMqa2lRRF4TZC5Mypz2kBc7QrZFz1p5RQWOY2N+5NRStqz5uqc5D6RGwebGhqNnJSrvbeNuNr6Zkbq1j49SHPSZPSnEgeUq61IOzilz8zkj/tjMULa9YlE2y5NkHdZOSnS7kNGU3KyySjZp+JCy2lXrSja1d5aV2/k5Cbt7SZBljn19VsOsnjdEYL8TDyuiPrTA0PK206QXm1O2vnexKiD3EwJcqP6nq21dJ+q1OuuvJQQZHVyw19jdk50n3jbB3+tzRe/RzDBBBNMMMHY8/gd5DPvABHqQhLiV+IgWYdP8E/B2+0Mb4yIDlZYxM+PjFKCLEhW0iJZ0hlNJoGLNkEO868rMpoE7rwPLF3Mid+DMd06ALhdyPnzuJP87i1g2eIPT5CjhIyWi45o2jpgEz9F2v1c7TRkVOVECLLLrXU5yFMRZEraXW7tu7d4vilk1MetNXI6zZ/vlDk52hnoiQTtRJ5O24eLjKZ1tadBRlUrig9BVjfpyZyWTU3aiwlBLvNz2i3333DaYfWP/xhO+3TaPlwnN+MT7h5ke58WzAPmZH4sHeRwOMyKi4sf99MIJphggnls8+qrr15njOVN9X2P9A3ynbEHyP+z38b98TGsD6/CsdvX8WBsDE+tKMLr717G2PgYdhWU4J+uXsDY+Bj2FpXhu5fOYmx8DLHiCvz9xVGMjY+hv7Qa3zl3DGNj40isXY+/OHMU42PjeHrtBnzz9BGMj4/h2fJN+PrpwxgfG8Oz62rx9VOHMD42hoPlm/CN0cMYHx9DomwDvnXmKCbGxjBQVoP/fmYEExPjiJVU4sXzJzExPob24nK8dPE0JsbH0FRYiu9dPofJ8TFsK1iDV65dxMTYODYsL8ChG1cxOTaGirwVOPHeDUw+eIA14Xycu/seJj+4jxXLcnDt/j1M3r2HpUuX4tb9e1ixcAnenxjDnQcfoCh7Ga4/+AD3HtxHeU4+zt65hfvjY9gQXoWR967jwbiZ086CNfjnqxcxNj6GtqK1+IdLZ1ROL144iYnxCfRFq/Cds8cxPj6GeNkG/OVZntPB8o34xunDGB8bx7PrNuFrJw9hYjw1pz8fPYyJsTHE167HX5wZwcTYGPqi1fj22WOOnNbipYtneE6RUnz/8nlMjI1ha8FqvHL1HUyOj2HjigjevnEFkw/MnIpz83H+fZHT0hxcu/8+Ju/ew7KcHNz84H2sWJiN9yfHcef+Byhekour99/XOd19D/fHHmBj3iocvZWa067CEvzTFcc+rVmHF8+fIDkdw/i43KeR9DlV1OJrp/jjp8s38p0bG0N87Qb8xekjmBgbR19ZNb59JjWnvavX4v97h+e0s7AUP7h8DpPj43iqYDV+JHLasLwQh25exeSDMZTnrcDJ6ea0aAnujo/h7oMPULwkB1c/eB/3xh6YOeUX4OjNazynlUV4/foUORWvw4sXeE790Sp8+9xxjI+NI162Hn955ijGx8fw9NpN+OZp/pp6tqIWXx89hPGxcTxTsRFfP3VY5MRfdxNjY0iUr8e3Th/FxNg4+qPV+KtzxzEh/p387fmTmJwYx97Va/HyxdOYnBg39mnLqtV49VpqThV5K3Di9g1M3n+A1bl5uPD+7TQ5ZePuxDjuWvtUlbsChwafm/bfZ+ovzSf4DfLD/h3+OKepqQkA8N3vfvexPo9gggnmJ2um+3f4DBNkR+uATZBp60B0NSd7Bsk6AVRG3Q6y4Yw6HOQjJ4Eql4NMiZ+DjCZFi0UBuSFuKjIqCfJUZHRK4icIsh9pN1ztk5zw2jm9mY6MCtL+9nHdYZviakdTyejoBaAsXU5M55S02j6m02Jh99ZKgmyQ9qX8z2qQdrudQeZEWyxOAuWCGh86TvbpmCCjIZ7N+nJBRsU+MWadSJB9OjYqCLK9T4Qgn7vEneikcNoLp3DaH7bFYsEUJxIXrgAr81L36eQ5YE1h6j4dOclvvZOkXRFkR070dZdCkMU+pSPIfic3irSL/nG5T7IH2e9EYmyCv/6z5uib9AKCHLxBDiaYYD72M92/w2egxQJAMon1lZXKGd28UbdY7CRu7V7pQiYZOve0IVO4yb2qxQJGi8XTxEF+Rrm1wDPErT3QP0icUd1b2x/rQoZwHmN7O5Qnule2DsBsZ3iK9CCbDrJ2a4sLC/nteROT3IX0QsDYBJZlL+EtFrlhLBIu5GrijJaXlugWiyp989kW6iA3NqoGgr27mkW3LXGQGUN/Z7czpwOy7QO87YO62sqtHYzrnPp0OwN3tXlOnXu0g7y3pVX12e5q1M7oU0aLRaVqZEh1tUlOovlDOqPLc8NYtIDnVLSqgDujLInyaJQ4yHKfmJnTtgb1597b1Ky+HiNubf/+LuG9JxHvpvtE3Fp1kx7ZJw840E8cZNJi0depnXa6T22yFQVA0/btYm+Ap0hf9AYfp71oVYEjpwksWbRIubXGPgmnvSJaZuUk2mPqdIvFTsPVblU+srlPOqdEjzunZ2ROnmfmRFzteE+fcrV793eS1x3Zp+ZmvU8NjTqnTXXqdUf3STvIvJlC5rQ8J4yQ5wHj41gqnfZwntqn1YWFmC96kOdnBi0WwQQTTDBPzLz3HvC9783Yb/dICfLNBx9g+VdfwPjExPScUT8yStsZ3j4BVJVyevV2uhYLBxn1c2tPnOFE0c+tdRLkMJCcBG7c5sTXdiHpzWdA+naGd+0WiynIqE38okWc8hmtAySnt44JgmwRvzePARvTEOSkIKOStJ8QZDRdTu9c5c9zUuS0wkXa7/Ge3hRXmwFZNmm/AyxcIHIi/b6KtIfMfaJk9MQ5oMRBRlNIO81JdkSLHaIOMmNWTqe42z3dto/zl/h+2w7y1Rs6p1tWTksXp7q1D5PT5XeBvClyovs0coafDIRCVivKQ+Tk1x6TTIr+cXkicY6fDCXTtX2QmxmNto+7qQTZL6f3PwDmzuF0/b07/ERiTubHssUiIMjBBBPMEzMPHgB/+qfAF78IfOc7QCym/9lzzwG/+IuAgDUPM7OCIGd6ssWCYX1ltWpn2FJbT1osGhTV2rOrSTVadO5tQ5YgWX2xbvEYiPf180/iA5yMinAODsUxR5DRZywyKj9NT0kW72MVxK+9Q1FS3s6g+30zMzJh9vsy/mn6kAckGSrK1iripz5Nn0xiRZ6DjObkqk/Try4sxHzxafq1pWsc7QwMW2prNfGjOTW16Jz2tCnK19fZ6czp6cE4zxuU+AHPDuucDgzq1oG4vPksBPR1dqkO2y6S097mFtUusJOS9rrNmoxW69aBipJSTvkmeb9vyPP47YJ5+SSnbCDJsCJMCHJBROVUXhp1kHaGLZvqnGR0bwvNaa9qaujr7BKPgURPv9qhA6Tt4xnSinLQIqM6J93v29fZqR6bZLSFkFFNkLfUkhaLak2Q10ZLCWkn+5SbJ8joJJYtXiJyImSU5LS2lPRqV5Ocat0EeW9zi/G6U/sUIzn1ktfd4BQ5ARgmJzdx0mKh9skDbxaR+9SkSTvtQd5SS0h7pc6pvKRE7dPqwkKV0/LcsCLtep/ysGi+3CdNkOcFLRbBBBNMMLNvfvADYM0aoKKCvzkGzDfHAPDlLwOP+P/Zf+QEecVXbQfZIqMGyaKfpj/Nb8+TZFTd6GW7tYIgvyFJFvzJqHRGbTJK2xn83FpKRq/f4AR5Og6yH/GzWyxc7Qx+zuiJc6Lfl7RYpNx8Jp3RkJnTtMjoSU6c07V90JzOvcMJZIqDfEO3fdx4T5N2SkanIu237gjSni6ny8DKfJHTRSCy0u0gS6ddubWeIO1pHGS1Tz45SVebOsgnBEF+6BMJCBpRmAAAIABJREFUqy/6jh9BduTk5yBfvu6Tk0WQi137NI2c6OuOtsc8LGn3ddr9HOQperVtgiwd5Ft3gEULPrY9yE8SQf7yl78MAHjuuYf/IGUwwQTzhM7u3cCpU9P73tOnP9RvMWsIcqqDzLC5tlY93kEc5D3Nzbrft61dUa3ezk7Vg0yd0QODg4SMJrSDnPAjyJSMxgjx6+BkygPaWjUZ3dWgSZZBRqtqjD7WkCRZhIwuzxPEb0ITv+Vhy60VzujaqCaj68nNZ1vq6lVOlPjtkT3IYOhsa1OZGTn16JvPaE4HhxKKtB8cIq72gEmQNRnVPcide9pVTntJD/LOxu0qG+UgJ5OCtAtntKzMTUYJQV6iHGRJ2hlWRyIkJ3rjYDXJabM+kWgwXW25K7G9ep/6Yl3q6/Fe4tb2D6U6yB5wMJEmJ0GWe/eTnNo0Gd1DnHa9T4QgJ5mZU2lU71NE57Q8J1cR5FRXm6FYurW2q0326am6zYQg6xOJvU2tep/a28k+xXROPe6cnkkME/efnEgMxNOTdg/o3NumSPueFt2DvJP0RW+prSU5aQd5LXndqROJiQnk54ZVTkskQc7L1zlFNGmfK3Y2mNk5zz33XPDmOJhgPi7za7/GqTF9c/yFLwAjI8AnP6m/NjoKnDz5od8cP8zMnIN8lbRY+H6a/ry++WxE9NY6HWRXOwMho2+McOIHpm/3SqYho9StNUgWcUZl60AyCVwVN8QpB3mp7q1NIaMTAHO1WFjO6FJHO0O61gFF/GzSvoa0M/g4o9NxkF05HT/Lf31KRpNJ3tGs2hkoaaftDKQv2unWkpxcrQPS1XaSUZoTIcg0p5HTwFqbIAuPvcrKKeQBr4/wbNQ+yZyOAesr0uf0sK52Sk6W026cSIzxf3c2GTWc9lvmjYMuV/v0RaBoZaqrbZzc2DnJ1910crJObqqnyom2WNDXnV9O0+hB9iPI4kSiZElAkGfz3Lt3DwCwYMGCx/xMggkmmEc2ySRQWpr69S98AThwQP/49deB9ev5f9d+zJk1BFk6yDXrNMnaXKed0R3bthG3tklRqv0GGdUu5BAhWcOkneFp4iAr4seA4YEhRa+GDJJFiB91a31IFiejIU6yqqsQEg4yJ6P8eygZXR7OU1SLt1hwgrxwwQJBkKWDzFBGbohbv64Sc0UevJ1B5kQcZIMg26Q9C2BJDHX3EVdbO6MHhxIGGdXEbwiZc3g2lCD30pw6TAdZ0tAdjT4OMmlnKI9G+eNkEkU0p9zc1Jzy8nRO6sZBxkm7yKmmkpB20mKxw4e072+nOcV0Tr2OnBjD03GyT/GEQUZlTkM9fSQnfSLR2aZJ+27SYrFjGyHIJKeaSu1qr6VtH+pEYoI47UlCRmlOep/WlpZg3rz5xNXOSslpZyPJqaVF/bk797pyYu7XXbqcyA2WqTmJfdqrc9pDHOSdDY38FIfBcJDNnKJmK4rYp/xcQtrVyU2eIsirIxFF2gMHeXbPvn37sG/fvsf9NIIJJpiParZu5ZRY/u/CBfeb4+9/33xzDACbNn0kb44fZmbOQb4sndF0n6YXBDkUssjoSX3z2dsngGpHO8MbPiTrreP8cZLxW/iqxSfr/cio4db6kVHiIN+6IwgycUZtB5mBf4re6dbKFgtJkK9P44a4s8CaSBri51mu9oggyK6cBGmnt6A9LBn17fd92JwYIciZQOYcTtoXLUglo5evA3k5jn2yCPKaQr1P9ESiYg3P4xA9kRjhHceeN72caNfviHCQWZoTCcPVJm7t1Rv8RGI6Nw6m5ETaGShBNvZpWXpX22ixsPdJ5iQIsuocl6+7oyIbAG9M4f7brzu/nGiLhR9BduVknNykIe3C1S5dkoOTAUGetRO0WAQTzE/QXL8ObN6c/nsOHQLmz+f//XmEMysIcgZxkGsq1ymStXmTbmfYTgjy7qYm4coy7G9rV5Sqe3+nIIHAYF+vIn7DA0O6qSGeMAiyJFnDg5Qg9yuq1RsjxK+93SDIimQ1Niofect0HOTCiHaQZW/t5CSWZnPil5+bq0hWkeqtBdaWRjFPdB9XKzIKbKYEeavOqbVJEL8kw762NpUTJX6D1NXulzkJyme3DjCek5P4yZw8QUYzJfHTOVGCvMXo961Rj9dGS7QzSnJSZHRyEksWZyuCvGjBIoAxFBFndG1JqSKj66sJGSUtFtuttg+5T51tHYom93Z2qb0ZNPqiNWl/Oj6kcno6PuTMKd43oPepM6Z8ZCMn4mrvaNQtFpuJW7uetliUONzayUlNRid0TvnSaWcMRYURvU/RqM6pqlrtk9Fisa0RZisK3yf6uuvdH1M5xXsH9OtucEg77dI7BgyCPDygcxrs6dWuNiHt+9v06253S7PKabtB2h0EGfzUheakTiTSknamWywYQ1bgIAcTTDDBPNphjPvC8s1xezvQ0mJ+z1e+wr9n4cJH/ub4YWYGCPILGFM9yNPsY01H/ChBlrfnhTzgtaPAJkmyRoCN65BKRgXxSzLg6Ch3T1MI8nlO0PwIMr1Jz7ghLkn6fSc4GV20gJMs5hGCnDF9MkrdWuqM2gRZ5SRaLGwy+obwjg1nFBbxI24tJaO+OfmRduJqX6MEWfRFT0yaOdEWCxdpt93apYuBkEXafcmoD2k/fBJYJ/fJvo3RcSLxutgtBvO2OEraaU6+vdp+bu2HPJFIIe3kxsGl2aknEjQnY5+o0z7K2z4yMkROjhaLN4nT7kfajVv16M2Mp3gPsk3aT5/nv69N2g33n5B2mdNEGldbvu5SWizmAxkBQZ7tExDkYIJ5wufWLa5G0Bkd5f/tePFF3mX88stAScmMPq3ZQ5Clg1xZpYhfvUGQGwgZbVbEb9/edkX8egjJMgjyIHEhEwlkKZI1rIjfgcFBQka1W9tDemv3t7cj00X8GigZ3azoX01lFULCR+bOqHCQIxHhRTKsyBftDJNJLFm8WBDkHE1GCy0HWRC/auKMbq6tdbq1u5taCfFrI2RU5zTQ05tKRhnDgXhcEz9K2qlb26dJew8hyPslaQewhxA/SpA319aqbNZLBxnA2qggftJBzpCudpiQUZlTrkn8SE5zRTMHdZA3kxvitlMHmeS0r60dWeLn9sZ0TkOkL1qTUdNpf1rmBGB4ME7IqCbtPTHdzrC/rUN9ffeuFpXB9m2NPBvLQV4v+33BUFbqJu1GTosWKYK8UBLkSATz58kTiTJxImG1opD+8R3yZsYkw+5dxNWWpJ0x9HR2iu+33P9+7f4fICcSB+JxTdr7xckNEzmJFpDezm5Fk/e1tSnSvntXKzmR0KS9nuxTTZUjpyQl7RPID1OCvEg77fPFPhXKnAKCHEwwwQTzSOev/sr88V//NX9zDAAdHZwaz/Cb44eZmXGQJ8b9e2v9yOhRV+uAZ94Q5yR+4JRUET8fZ/ToKU7EbDJ66jz/fdOR0Ss3gJWEjFIX8qHcWkH8btwCllDit8zRYuHj1o6M8tvIUnKizugIJ+0pDvJRQtopGaWk3ScnSpDPvsNbEIycmCDINmm3crr/gJB2pHeQr9/SNw4apJ3u0wWgaJXjRGIUKCt2uLUO0u4RapyyT5SMWqS9UjjIx8/wfw90n5IipxQyOkVOKaTdzmlOaisKzenKdSDsyInu0/Gz/Ba7kCTtRQ6C7LNPr9snNy7STvbJcJDPaNLu2x5DT26sEwnVYnHf3T8uX3d3xU16Vg9yaXZAkGfz/Mmf/AkA4BOf+MRjfR7BBBPMFJNMpqoRzzzDP2wHcLfY84BZ0kgzawiy58GH+M1NIX67m1oU1aJubff+TvU9gz2aICcGLQdZklFyQ9zwoG5nGCRktLerW32afn+7cEYB7Glt1S0WjY2K8m2prRMkC1hfQ93aqKJdTuI3OYmlop3BIH6FhYr4lZVEVd9xTWWVoqGbyU1627c2aOJHSPv+9g6dEyF+g6SdYXgwTnISZJQxPD00zPNgVk6UjBptHySnZk1Gd2zXPchb6uo08XOSdiun/Hx+yjCZNNzahcStVQS5tETdxlhDbtLbTMjo9sbtzpz2tXXwEwZmnUhQMjqoyejBxLA6kXia9GofGCIEmfYgx7SDvL+9Q51I7G5tUbcx7jQcZJlTEjWVlSqnMrpPEU3a88NhlZNy2sOajEZs0i5zqiQ36RHSvmMbed21tpB90ic3vbEuQpDJTXpDZJ+GEySnhPt1R/ape78+udnXpvdpd3Oz8v13ENK+WTrIDKgxSLvOKbKqQLvahLTLnJbnu3PKypg9rlswqfOJT3wieHMcTDCzed55h7dRlJYCX/sacPgw8MEHQDyu3xwD3C2eJW+OH2ZmjiD7ubW+vbWj3BnNCPGbuCTJeus49xl9iZ/ljBpdvyc4+VIEuYz/fz4u4meT0YtXuSttu5A3rRvillCCvAAY9yN+d4GF8whBlv2+7wJ5DoJMyeiJs0BJxN32IXuQ3yJu7RsjwAZJkEnrACWjfp3INKdjZ/i/h3SutisnRUatm/TSknZKRqlbu9hBkH1cbdnvK0n7tPbJJqNynxykPe0+reGU1O9EgubkR0bTnUjIdoa5krTf5mTUdpAvX9M5nb8CrJpin+iJxOETPCe7MeZNn9ed34mEkZPttBfzx5IgJ0VOrv5xdePgpLVP7/MTGEnaF8wXrzvPcrUz9YlERgaiS8I4kfiFaf99JicgyDMz169fBwCEw+HH/EyCCSaYlLl8Gdi2bervm4ELPR52ZhlBBmqqqgW94l5hioOcZNi9q1nRq33KhQS6YzFFsgZ6exX5Sgzq1oEDiYQmo5RkSZfUAwb7+5ULyckoJ1b7SQ8yJ8iknUGRUU2y1lcTglxGyGikCCHRm7w8L49TsEnGb4hjgowqklVgEmTxZ62uqlI5aQeZe5nyz93a3KLy27e3TZFR1c7AON1UBHmIknbdOuCfk2hngOxBFjl1EDJKCbJPTjVVhCCXRlV3dKSwMJX4TU6qnPJycy3iJ3IqLVU5rSf7pNo+kgzbG/Q+tTY3q5z2t+t96o11CR9Zkva5iqIrSkr2iXu2nAInfE4knPsEYHeLvplxR0OjJsh0n/zIqCsnSUbBkJ9HHeQi4iBHMXfeXEXa1euurs65T3taWkhO7W7S3m+2WLhed2ZOgyqngf4+0h7TZZzcyJxam5rVn3v71gbiIOuTG34iwXcoWloqHgtXW/Ygh+XrLonsRYv0627BQvUalTllBgR5Vs/AwAAGBgYe99MIJphg7HnxxanfHP/mb/Jb8J7geaQE+daD+1jx1RfwQLVYLE3vQqYlfn6tA2t9nFFBsmhTwyFBsmTrgMsZpSTrDCHIF64CRQ4yeoMSZJdbS4jfPZtkLZzCrfUh7UZOxNWmzqgfaVcE2YeMggFv+RE/mpMgyPZNegZBfpe3ldg3xN19X5N2o8WC5uRya29a7Qwu0k4IsuHW2mS0lOSUbp884LUjQO06aKd9rXufpsyJOMjTIu0kpwciJ78TiVt2i4Ug7ZeuA/mSIF8GVvm87tY4Tm4OneSvETsneiKRQpAdJxI0p5FR3s+dTKa2x0RXa4I87fYY0WKRvci9T2lymm0E2fO8cgDfIF8qAfBrAJYC+FkA18TXn2eM/a34OZ8F8DMAJgH8ImPs79P9Hk8SQQ5aLIIJZhbOmjXmj0+e5P/t+Ku/Ao4cAf7wD4Evf5l/CG+WzqwgyCHPA4SDXL1unXIh65UzCkGQ+ddbmnUP8r62dkX8ekjrwABxaxODA/xWOPFpesMZJcRPkdFe2jpgOqPShWxt1iSLurWbNxPiV1XtdGsjtLc2L890kCnJAhAhbm20pESRUU38GOprN7nbPmhO7Zogd3d2KjLa39OrMo4PDumchnyIn7xJjwEDfX2KIPMWi1RXezfJaXtDg0lGQzKnGkJGSxX9KyoUpD3JkB/O1QQ5O1vkJJxRxgnyvHlzhYNMyGhlJcmJ9CA36H3a3dJCciKu9n56IkH2aWDQ2CeVE3GQE9JT9vjPNfbJkVOrJO2MEGSYBLmakPayEppTROeUF+Y+8iRD9qLF2tUmOWnSrk8kaqrJPtG2j22UtDfpk5t2v5Mb4rSTE4lhktPwED2RGFInFTSn7n2dKpt97W26B7m5RRH47Q26B7m+to44yMTVpqS9oFDllEf6onVOuc6cMmdR3yYAMMaOMcY2MsY2AqgDcA/AfxP/+D/Jf0beHFcCSACoAtAO4Mue5wXVHMEEE8xHP4wBzc3m106f1rfbdXcDn/0s/9osfnP8MPPICfLyr74gHGTi1vrdfObrQtLe2mOcjCqSNQUZfeOYoFqWC3nkFCdiSWa6tUbrACFZlCDLFosUgnyPE87xCe2Mjk+4SZYkoxkZwLs33W4tJX6+ZPS0aB2wSfsxfmtgunaG145yMgqYDQSU+NGcbFdbklHaW3vxCv/3mULab+t+X0na7ZySTDij94VbazqjvmTUz9W2CbI6kTip3Vqa0+tknyQ1VjlVkn3yc7UdOU2HINNWFOq0vy9aLGhOYxP8eWS5clpI9imb7NMyxz5N10H2I8hT5PTmMdEeY+2TKydm7dOZS0CJw0H2I+3v39M5SYL8YJzk9AF//c3J5CcZ4uQmuiQHJ+Kzs8XC87y9AH6dMdboed5vALjLGHvB+p7PAgBj7DfFj/8ewG8wxv7J79cNCHIwwQTzoea//lfgN36DPz54EPjc53Rl2xM2s4YgSwdZu7UM9Ru1g9y4VZPRFtI60EFv0iP9vv3ErY0PDaobvRS9YgzD8YSioXHiQvb39Woy2tWFDNmD3EHIaEuzolf0Ri9KkGuqqxSxWhstE94xECmIqG7W5Xn5CGVk6HYGxpAXDqt+30JJRsEQLSk1HGRF2us0GW0kZLSVOKMdbXvVLYO8xUKS9n5CkHVOBxIJTpkBHBjWPnJiSPcjD/T1auLXGeM5ecC+dnrzWYvykXc0ENJeT/qiq3ROZdGozkm6tckkJ+0ypyXZAAPy8/KUM1pYIHprAUSJg2yQUdIX3UhaUWhO6kQCQHesy50T2acDw8M6p8Sw3qchQpD7tNPevT+m9onm1Nqs94nmVF+nyWh1dZX6Os2psIDmJPYpmUT24sUAg9gnfSIh90mT9iSqqyqtfZqrnos+kbByEt/fRUk76R/XORG6buc0MOgkyF00J9liwYAWktP2Ruog16o8qsg+RUu0015YUKByyguH4XkekBQ3DjJgeV6+dtplTowh05tdBNmaBICvkx9/2vO8tzzP+789z1smvlYA4Dz5ngvia8EEE0wwH91cv67fHB848ES/OX6YmUGC7OPWjl4AVvuRLOrWTkGy/MgobWp4W3Qi22R05DRQWcIfnzzHCZokflO2WNzWxO/OXU7uJiaB+2PcdUwho37tDNk8A0ra/QgyzenoKaC8+EPk5AGvHwE2UTJKSPsGP4K8hn/PCZLTuemQUYsg0xsHpyTIgoxevwksc+Tk6kEOhXivtsppVOd06EQat7bcuplRUlIrJ5ATiXSk/aEJ8m1HK4qDjM7N4v987hwfgjyFg+y3T5Qg++X0ujit8azX2nROJFyuNksCJ31OJKZDkFNc7XkWaf8gNafMDJQtycXx+OxxkMmvnwXgHQBVjLErnuctB3AdPM3/E8BKxthPe573+wD+mTH2VfHz/i8ALzLGvmX9ep8E8EkAKCoqqjt79uyjeuof6XzjG1zHjsfjj/mZBBPMx3yodzwLWykedmYdQa4iBLlu0yYn8WshrQPtbe2KWHV1apLVT3qQhyQZZcAwJaOEasXJzXH9fcSFlM4ogH37OtTj1tZWdbvXdnpDXF29Ilk15IY4w62NFHHKxxjv9xVkNDtbEL88QZAZQ8GqAkJGtVtbXSmJH1BHCHJDAyHtzZq0t7d3uHPqJcRP5cSQkHkwhkRc9yAbpL23151TWzunf8zKibi19dStNchoKSHIBfBCFhmdTAoHWeYkCLIifklBkGVOVekJMkwy2tFBXW2dU1/P1DkNJ3ROQzInsYuKjHZqMtqh+n2ZQZDNnDQZranWLRZRsk80J0pGF8u2D9LOEKE50ROJapJTHTm5MZx20hdNWiy6YjHttNN9GoqL7/eM19owuXEwPkhed2SfuvZ3qpza5U16DGhtaVGnOI2k7aN+EyHIlW6CHCmMCLrOkJcX1qR90WJxIpGvWyxkTskkMmYvAekA8Bpj7AoAMMauMMYmGWNJAH8EYIv4vosAIuTnFYqvGcMY+0PGWD1jrD4vL+8RP/WPbuLxePDmOJhgHscwxv83OQls2aK/fuLE43tOj2FmqMVifHpu7Ymz5Ca9U0D5GrOPNST6WJUzepQ3L4QE5dskqfHRVDIKxinY+nL++LDtIMve2nP8xjWbIPu2WEgymjSJ34Mx7s5S4ufsY82cHvEbvQisXinI6BlgTVFqTpT4vXkcqHkI4jcVaWcMGKE5CeLHrLYPFxm1c7rzvqPfdyJNTi6CTPbp3GWgIN88kQiF+E1tpUUWac8QOYl9ojn5EeTX6W6RnPxc7WOnhdPO/F3tKffJ1astcmKCtN/9AJiXZd4QZ+fku08+OamTmwzzdffmMX4bnu1q+51IGPvkcyJBX3eUtFMH+eI1IOK4wdI+kVBOuyTI4/z3nksc5MwMoxUlujR3VjrInuf9OYC/Z4z9sfjxSsbYJfH4XwF4ijGW8DyvCsDXwN8wrwLwMoAyxtik36/9JDnI589zeyQSiUzxncEEE8yPPRMT/O/6ZBIoK0v95//iXwC/+qsz/7wewcwKgux5UC0WVX5kdNs2k4wKj7KjvUPRvJh0kBnQ16N7awcpQY5rgjwcp8RvQD3u7+tT9M8go+3tmiC3WARZkqx6R+sAk85oCGCi31dQrTzZYiFJVpIhnGuTUX7bWSlpsagixK+utk5l0NDYoChfS3OLlVOWyEm3WPQR4jcUH1LEj1I+g7QPUdLer/LojsUUNd7XoXNqaWlW9K+RkPb6ujqDjMqcOBnlDQSRSESRdurWLlY55ToIMrNIe5Xap/p6klODzqm1pVU77Yq0M9HOMM9B2kVOSXCCPIeQdpHNEHW1e3tVHl2dkozy30v1+8qcPE5GZTZ19cRBrrT3SZJ2nVOedLWTSWRnZwMA8vLzsGDBfCCZRKSwkORESHuVvU+CIDc2Wjnx9o72tjaVU9d+mpN+3Q1ZrzvVYkFfd6TFop/mJPcJDB3E1W4hPcgN1EGuq1WPq6qr+J5B7hP/egF1kClBXrwYACfICxYsUJnOn89PbjJmoYPsed5CAHsA/CX58m95nve253lvAWgG8K8AgDF2GMA3ARwB8HcAfj7dm+MnbZ555hk888wzj/tpBBPMT/Z8+9tcoSgr4zfiud4c79wJPP/8zD+3xzyPhyD79vvabq2DjKZzITetS6Wk03GQJcliDDghWizSkdHL7/IbyaYkfgvMPtZ7H3DaN2eOdpBlD/J0yeiUzuhUxE/SUFfbh2xnoMTvJG8NoWSU5pSOtFOC/O5tIM/PQZY5Ja22D5GT7PelOU1FRmWLRYk8kfBxkA3SfoTfBGe0M/i42vJEwrVPLlf7oUm7lZO8IW5sjO817Yu2yCiu3QJyHDn57RNt+6BOO+1BdpF2z6LrKQ7yOkzbaT91nvcgM8vVpj3INCfVg2ydSLhyev+eSZDFyU3Z0tnpID/KeZIIctBiEUwwj3hu3wY2bHD/s7/5G+B//S/g535uZp/TDMysI8iVpLe2dlOtkyA3N+l+3/b2dpOMKme0R5NR4kImEglBwYCEpKRMkNE51EHWZFQ+7mhvU5Q0hYySG70U8aupVvQqari1hPjJG70k8WOcjC5YKBzkggJOssSvIYlfVWWV+rPW1evWgYbGRqvtgxO/trY2KydB2nspaR9Q7QxxQvx4NoL4DQzqnAjxi3XSnDp0Tq3NqaQdnOZSB1nlVFYqsgFvHcgIadIuclqSvQQAkJeXp3IqLCjAvHkkJ/HnSCXtPq72PLlPOqcu0u9rkHa1T2KHHGR0kJxI9PX2GWRUPuZurdynVr1PpC+6ju5Ttd6n0qhPTuGw3ifSirJA3G9fWKDJaLTMzGmusU9+TnsWed3NU38mZ04Duu0jEdcnEglyOjE0OKQaY2yCLB+30ZyayOtum86pdpPOqaqqSmVTWlKivONCciIRztU5LRY36YVJThF1cpNECLPWQQ4mmGCC+ehncpL3Fa9Zw/9H3xyvXw/81m8BL7zAL/yorPyJfHP8MDNzLRYf6tP0q31IVpnpINvEj7YO0Fv1KPE7fJL/OinO6FnhIDNNslg6Mvoeb1OYnATu3CNu7QNBRiccZJQ4ozZBflhn9OgoUP5hcoKDtDtyogQ5pe1j9fRzUn3RaRxkF0G+ddudk0HaLwEFy6dBRsWJxNvHeZOCTdpfkycSafaJZiZzYoxnb+8TY7qdwSbIfg4yJe3GPknSTm/Suzd1Tu9c47fPTbVPBmmXOZ0AqqwTCZnNpnWpJxLG6+4YsKmc5/TmcX46kWTc/a+RTnuanFz75Ov+05sZx4AFNKc5Iqe5wJwM43XHCfLsc5Af5QQEOZhgPmZz6RJw7Rp/A2zfgidndPRjUdsmZ9YQZBk5b7HglLS2tpbfWMYYGhpsgizI6N42RaxSCbIgo4RkxeMJZElnNJHQxG9oUDvIvdqtjcW6hCdqOqMtza2q93d7Y6OiWvX1dYpemWQ0qr4eiYibzxhDXl6+eGyTUd5bWxgpxNz5nPaWlJZo4mfkRAiycmvBHeS5lIxOkRPpQaaUj5L2oaEhTUZ7KPHr0gS5o0M1ELS0tKicGhsaVQOBQZAJ8YtGyxTlM3IKh31yEgS5sBDzJBmNlqo/U1VlpSbtddpBbiSkvZmQ0Y62DvU41qV7kA3SPmTmxH1uJqi7IO3KTSYEmQFdXTqn9nbd9tHS3OwkyDSnqkqSEyXthTqnsEGQZYuFmZPcp2hU71N1je6LriM9yNpB5jsvO6INp53cYKkIxOIoAAAgAElEQVRyAs9AE+S4zom87oYGB3VO5OQmFhOuNuMNLDKnZiMn/bqrow4yyam0tETtk5ETIcjK1Q7n85zAX6Nyn0Kz0EEOJphggvnI5h/+AWho4NT4j/5If33ePGBkBDh1ite2fYzeHD/MPH6CTEnW8TNAtCiV+Pm6tUeADYJkvXoEqPMjyKIfWZIsJ/Er5cTKzxm9cIWT7skkcPVd7lBPCoKcn44gy0/TUwc5E3jvrnaQqTPq1/aRtp0hDfEzcoJJQF89AtRV8seUIFPiJwmyIn4yp7PA2jUOB1nk9NAtFsTVng5pp2TURZCn3CdJ2l0E2cpmOjlRMnr0NP/1ab8vS3Lffk1Eu7XKQSb7dNMvpwepTvv797hja+d07SaQs2R6DnJIntwU8q8fGQUqisk+RcVtjMd4Y4ekxsrVPixea9PdJ9KKQnM64TiRoDczMpKT02lfZO6T0R4jHeTMgCA/QQT5O9/5DgAgFos95mcSTDBP4Pz6rwN/+qepX/+FXwD+9b+e+eczi2b2EmQAtbXaQd5GyGizvPksxUHWn6bvNT5NT0jWsA/xGxoixK/XIn6ij7Wd3OhlOMjEGa0XPcggziiAsrVlhPgVEjKapx7zT9Mz5OZIB5l/8l6SrJJoifozVVYSglxHSTvJqVnn1CZzAiF+zCSjOifhakuCLG/SY8Dg4BC/FS6F+MU08aM3n0m3FpZbW6/7oquqKh2uNjNzystT3bbZDtJeQMhoKXWQa6qJq11vubWp+8QJMqfunZ37iVtLchrSbR+JYULaaU5D/jnx3WJo79A5mWR0u/K2a+v0iUQV2afS0hKVTYGRU756vHixIKN5+Zgv94mS9rKoJu1VlU4HubGxQWXDXW1Oits7iIPc1aVz6tMEedBwtYd9chpUOfVSp10RZJg5yRMJiBYLsVt1rpwYf83IrxcUFKgdUvvE6D7pFovCiM7JCwjyrJ5YLBa8OQ4mmA8zn/uc+80xAATNMNOex0OQ5c1noRC/+YySrNIIJ1ZHT4tP03vCrZVkNI1bK1ssDJJFOpHfJM4odZANt/asuCHOdmsJQb4iWiwmhVsrHeTb94BlDuKXZLyv1o/4+bm15y8Bq9K5tZ4gfmv4YxfxM3IC8OrRNKR9nZkTCGm3CTIlo6cvcodVEj9FkAnxowT59vvunJQzOh1X+xqQb7m1dJ8yQrydJFpEciomZHQqB/kw3xtF3X1yUgT5IfYphSCTfl+6Ty4y6pfTzTvA4ikIsisnJ2mfbk4gO2TvE3nd+bn/NCe//vGLDtI+pastCXL6fQoI8uyeY8eOAQDKy8sf8zMJJpgnaH7nd4D//J/54z/4A6C9HTh6FNi3j6sW8p99jGfWEeTKKt3OULuxVhGobaS3tknd6AXRzsAfdxoEuVf9OgMDZjuDbLGI00/Tx3VTQ19/H6daALq6tTPa1tGuHeTWVkWyGhsatAtJCHKVdJAhHGTZYlFE3VpN/LKXcJKVG/Yjow6CDKC2tk4R5G2kdaCpuUnn1NGuc4pp4tdDchoc1GQ0Pqz7feMkm8HBQZJTr6J/sa4uJ0E2yGjjdkX8auvqNfGrou0MmowWFmkyGiakffGiRTyn3LDT1S6NUlebEORavU+0naG5lewTcbW7pINsnUhQVzueGCaPEz45EYLscpDpPnlAA3G1a+tqSU6VmiCX6VYU+0TCEz3SMqdwmORUpMloaVQT5Opq7Worpx38uSjS3kpObtpsgpz6utOutod4fBhZc+Y69mnI2fZBc2ojOTU365v0tjU0qGxqN9W696msxJlTmBDkRYsdOQUO8hMzn/rUp/CpT33qcT+NYIJ5MubGDf4hPPkGeN8+/uYYANat465x8Ob4oeaREuT3xu5j+Z+JHmTDhbwEFC7nZMp2IVXrAGlnoGTUz619VdArRZCr+JOgXb9+ZPToKHchaTsDY5qMUoIse5AVGZXEz3JG7z/gpMqPIL9316ffl5BR6YymJe22gzyNdgYXaaeU1HC1T/BfJ6UH2YeMUmdU5sSstg/nDXF+OdF+Xz+3VjjIoRBw+jywukDkdBooXW05yGlIO83pVdFiYVBSuAkys/dJkFFXTulcbZsgu8jowzrIH8rVLp7+Pr162HrdPURORouFIMj2iYSLtNutKLTFYqqcyD6tXRbGsaGgB3m2TtBiEUww0xjGgPFxgJ60PP888LM/+/ie0yyfWUGQ6VRSB7muXriKDNtkiwUYmmi/b/te3c5AXMieHkKyBqgzSojfsOytZRgcJC5kHyGjMU1G20g7g3IhGadsIUWQ9Q1xVTXV/OugBJk7o564VS8vP189lgQ5LJ1RCAd5nnCQSx1kFJwymqSdZ9PcQghyW4fKqbNLtw6kkNEsTUO1t639UerW9vb1KFc71tVNyChpHSCkvaFBO6O19fWmM5opiR+9+UznFKZkNHuxOydCRqVPu062WIh9SiWjDE3N+oa4tjZK2mMqj96+XmdOQ4m4PpGIDyuPnbraNKdO4mq3kRaL5hadk0FGyY2DvgQ5oslobm6Y5MQdZPtEwpVTZTU5uSE3WNKTG8P9JwQ55kOQByhpHx5WOSWGh1WXNnWQe/xyatM5NTW1qBOJbaRXu3ZTrdNpLynVTvsq330irvYCuU86J32+FUwwwQTzBM43vwmUlJhvjv/LfwneHH9E83gIMnUhRy8AxelaB7w0JEt+mh7AjwS9somfTUbTEWR18xklyIWc/l2w3Fqng/w+J8ETk8D9MU6Ip9PO4CKjIeEgu0h7WuInyegIsL6cP37VRY0F/aur4nm8NiLaLRjPeGOF6Yw+DGm3WwcmLdJuOMhTtFjcvANkL0gl7QYZ9WtnIAT5yEnhaofEbYxlDoJM2hloK4p6DH8H+dAJ/uskGe/wVjmd1zcz0n1ytTNMJoGbjr7o8UlgTLjaD0RONmm/eRvIXshzchFkuU+SIJ86DxQXWPvk8ZaJipLU152zxcLeJ5rTFO4/Ezmts/bJdv8vXgEKZU4+pF26/+OiB3maDnJAkGf3BAQ5mGDSzPXrwObN5tdefpm/YQ4m7cwugsyAyirtQm7atIk/9oBtjbp1oKmFEuQ2k/gpMup2axMHNEEeUrfFAQNDcQdBZoZbu5eSUUqQt29HRganf3WbBRkFp3KK+EWj6nFBJKJJVl5YPdbEL+wkfiWynYEBlVXrVDaatEOQ9tSc9raRHuQuffNZbx8hyHGd0xC5IW6IuLUDpC+6l7QzmGRUk/YmktO2Rk3ajXaGKppTqcqjIKKJn4uM5uTm6pwihYS0ryE3xFUTMkpbUUhOKW0fIqduciLRR8nokCDIDEMJ4mon4urfwwA5keih7QzUaTdyajbIaEjsk19OJaUlOid5IgGGXElGwbB4Cc8pTMloJKJyMki7JMieRZAbGy2CPFc9d+frTuYE83Vn7lNcn0gQ0t4jX3f2PrXZOUnSvk3t06ZanVNl1TqdU1S7/6siNKeweiwdZMNpLyzEvPn8zxRMMMEE80TNK6/oW/Dom+PvfAd49dXgzfFHPDNPkG2SpYifx9sZJMk6OqrJqEH8BBn17WO1yagPQX7bIlm+ZNRB/C5f5y0ctoN8+y4nnOOinWFRGuLnIsgh4SDbxM92aylBPnLKp8WC5PTaUd4F7XnAjw7xbDwAPzoM1FfzPCjxe0MQZDDgLUFGaU5O0u4gyLarHV7GH7tc7XQ5LV6QSkYNV5vkNErJ6GkgSglySWpOr4/wnTCaK1xurWufjvF2EDD+ayqCTB3kNPtETyRWTJGTs993ihOJUAi4dBVYHk7dp1EXQU6TEyXIrx0Faiv0a03m5LdPxuvOQdqVgyxzegcoKXC87nz2SZ5I2ARZ7tNd0YNs5VS+LA8jQ5+e9t9ncgKCPDPz0ksvAQB27979mJ9JMMHM4Fy9CmRn88s85ExOAtGo+/tPnuT/fQxm2jO7CDKAdZIge8AmRbKApxTx87CrpVkQQg97CBntlA4yCPED0K9cSIahIUGyIG70ypJkdMh0IedkCoIcU1SLEr/mlmaEFEEmxK++HqGMECd+1TWKJptkVBBkD8jNk8QPyF6inVHtQtIeZEH8PJP4bZI3n3nAVuUgm2R0b3ub+jpv+5A5kd7aOHVGD2i3dnhY50TdWtn2wYBYTxfJibq1OqdUgsxzqqyuIjlF4WVwskdd7bB0tQHlINOcVhUWYt5cqy8aptO+SbraHgQZla52K8mJOMgkp95+ndMAuSGOu9qiCSWRUHkM0H7fPpKTQZDbjBMJIydKkEOSjFarnEqipSon6tbm5Oaqx4sWi5xyw3qfXCcSHt9VkyCn5tTUTE9uNEGOkdcdJcgDQwOEtCem3ifi/neSFou9dJ+aaU4NKqdNZJ/WkX0qIftECTLNSZH2/HwzJ/EfHobpw4FgZn52794dvDkO5uMx9+4BQ0OcDD/1FG+dWLOG17N98YvuN8f/7t8Bb78dvDl+hPN4CXLIE+0MDhfy6ChxkI8DVWWpJOv1dJ+mF8TPj4y+LdoZwHhHbpUgyCfOcnKdZPzmM0lGz18GilZpkpXiIBOC7Nti4SB+GRnAuzeBZRZBTtdikeKMutxaSpClgyzp+hSkneZ0SNykR3Ni4M9B5nT6IlDqIu1T5ESJn1+LxU1CkK9PhyC7nHbLrXU5yK6cXGTU12kX+2S72ifO8TYWRUZlr/ZlnlOSWX3RlIw69mkaZHTKFgsnabdPJEL89KDaIu2G0z7NfbJJu8zJdXKTZPoGy3QnEoarfRdYmm32alPSfvcD7iJLV3vxwsBBfgLmjTfeAABs3LjxMT+TYIL5COfWLWDTJv3jgweBr351ej/305/mt+AFV0P/WDMrCDJ9772OuLUbZW+t52HrNkpGZW+tJMicWO3v7FLuqS9B9iF+/aSPtae/3yRZc1wtFrp1YGtjI2kdqDfIqKSelCArksWgnVFCsnJycxXJWikJsgeUlDoIMoBNdZvU462q7QOi7UPk1N6OuYK07yfEr5vmpG6IYxiMxxVpHyQ3DvYPDir6193fq7LpjMXU4z0dbcofbSItFtu2226tzKlS5VRS6iLtxEEmOeXmEtIubz7zODXUBLkaKQQZwNZGsk8tOqdUt1bk1NtDyOiQQUbnyH3yIaM9vSSnzhjv0rZd7dZmRUm3NuoWi0111GmvdpL2lYS06xMJhkWStOflOcloCemLpvu00UnauU/OT2tkTuLkppucSPRrp31AOcjQDrLMTOTUT0h7d69JkDPm8GxoD3KTPJEAPy3ROdU6CfIauk+F2v2nrvZC6SCHw6arLRzkh2ADwTyG+cxnPoPPfOYzj/tpBBPMRzv0zTFgvjmurwd++EP3z/vCF4B/82+CN8czOI+cIOf/mbhJz/Vp+nQ3evm2DrjaGSzi98phYLOL+BGS9dZx/utI4udLkAv595y/AhSt4I8pGX33FifjNkH+gBBk5dZSgnwbWLQwlSBfnsqt9YBjZ4EylzNKSLsf8TMc5CNAvUX8GAPeGuH90n4OMiWjBmlnmoymuNq3gHCO7q2lDvJCK6eHIaOhEHD+HaBgheVqu3IS+2TcxkgdZJrTYd2K4sopnatN9+nkOd6DzBj/d1ga4QTeyMmvV5uQUdmKMhVBzsgArt8AcpY6HGSSE92nkbPA2g+bk4/T7peT6+SGMeA43ScHabdfdzffA3Lt/vEJno+d0517/P+mtFjk4VjgIM/aCVosgvmJmj//c+Czn9U//pVfAb70Jf3j06dTf863vw0sXQrs3Pnon9/HaGYNQZb/v866KurWEuK3Tfcg7yQ9yHva3GS0SxI/ZpFRSpAPEOIXH3QSv1h3N38MYG8HIVmtLYpkKReSSQc5M5WMlkU1QVYkCwgvz+ck0AMWZXOSZRJkQkZLtTO6jri1mrRLMsppaFMryYm4tfuJW9vVR3PSDvIg6a0dHKbEb0i5xj19hLR3a+K31yB+NCdJ2pkgfhmC+FULGgqURMtEHtRBFqRdfI8koznhsJOMriktVX+OddXaaVc9yB7EiYR22uk+STK6v5uQ9v4+RVv1PolsFEF25MS45y0f7+/ucu7TruZm4WczcSLB929Trc6pkuS0JqpbLFYWUIKs2xkUaScEmZ9IzBOkvUzlsU62fXicWusTCZKTsU/E/e+m7r92tWlOQ8PDKqdBQtr7SdtHd59+3e2Pxfg+MYY9HdpB3kVaLLY2bLNIe6bYJ3oiEVX7tCpSqPLLCeem5pRvkva50kFmSQQTTDDBPNJhjPvE9M3xV74CfOpT/E2x/J9rurqCN8ePcWbQQRZk1PfT9B5w7Az/JHvIAw6f4rdsUWfUEwTZj2TVVwEQ9K9e3KSneloZ/7kbBRl9mxC/I6f4p/UZ400a5cWC+F0QxI+ZDvKl65xkJZnljN4Bli4RJGuMOMhJYO7cVIIsXEhnO0PIEzmt4I9HL6TprXWQdr92BkVGPeCVQ5q0U2+b5uRHRiVpZzDJ6PnLvJ3B5SCrdgZBRmnbB3WQqTPqIqPTdmsfIqeUEwlBRo19mgYZpTmpFgu5TzSnS6LFglm92reEW8sIQSb7ZLi1hCDf9NknmtPZS6RX2yenwyd5N7Htavu2fXyInNTrzi+nC5bTvkLkZLXH2G0f46LtY9H81JxUK4rOaTa2WHiedwbAHQCTACYYY/We5+UA+AaAYgBnAAwxxm56nucB+B0A+wDcA/AJxthr6X79gCAHE8wMDmOp1Wt/8ifArl2P5ekEw2fWEGT59rui0m6xoO0MnGTtJH2sezraFdnb39WlCGt3nx/xG9ZubUJ2HzP0xynxs8go6UGWn6BvaiX9vtKtZcCmetLHWlMDT32avoTTK8ZQECkSVMtDjuxjZcDiJUsAz0NuXpjfEOcBK33IqM7J08TP8wy3dpci7RAE2eUgE+I3SEi7IqPMIu1xQvz6jJw0GdVu7S7VzsCwdft2TUbrKUGuMh3kDIu0A0ZOi5akEuRV1NWWZBSEIMMi7aTtY5dy2uF7IqFcbcbQp27Sk362vU9Anw8ZpW7tHknak/zflSTI24yc6pW3beQULeO75QlXW+zTslxNkBcuSnWQVxEyuiZKSTtx2utpTo1WTnKfOtTrq7OLtqL0mvs0RU6+BLlL9yDvIS0WBmknTjs/kZA5WaRd7lNBgW6xMHqQyT6J111BJKJySs5egtzMGNtI/gL/FQAvM8bKALwsfgwAHQDKxP8+CeAPZvyZBhNMMO65dQv41rf0j7/3PU6KgzfHT8zMHEF2Ej8PGL3o0zowqvt9XQTZRfxqq1KpFiXIrx/jfcB+DrJBkGGSrAuXCfEjJOvdW0BejumMTtoOsg9BXiSIn4uM2gRZtX14wMgZ/ol/P9Ke0mKRhvjVVQEeA149SnIit8X5kdHjZ3jLCG2xUGRUtn1cF24tEzkJMnqXurU+BDkdabf7os9JMurxG+LWFE6vxcLzgDeOci897YnEIaCumuf02hG+Z64TCSdBPivIKPi/wxJXTn6knZBR1WIxxl9c8xxkdKp9OncJKBT7dOoCsMbui5b75CLtJKdXj/BbFw0H2T6RODr1yQ29wVK+7mz3326xmJK0j4seZJGTJMjzCGlfRAhyfFYS5HrG2HXytWMAmhhjlzzPWwngu4yxcs/zviIef93+Pr9f/0kiyP/4j/8IgF9lH0wwT8T8/u8D/+E/pH790CFAXFYUzOOf2UeQqzTx20BaLJ5q2Kro1c7mJvV4d1ubIln7YjFFkLts4ifI6EBcOsj8caa43auPfpq+nzqjDgeZ2WSUkCyD+BG3tiyqXONVhRH19dz8PO0gL1kChDzkKILscYK8gJPRNaSdQeVkE2Tp1nrcGZXZ7G7XpH0fIX5dPT2EtMd9id+cuYKMxgcV5eNtH5L4aYK8h/T77mppVbcMGm5tfZ0gezIn0TpQFlVkVPX7gjvIkARZOMjLcnNVTqsI8VOk3TN7tXU7g4etpJ1hV5POaU/7j3MikVA5mQ6yPpEwc2rnO5QEdjXrfdpGctpYp3OqqNIEeQ3pQV4pyahH9inkqXaGZbl6nwoiEcxVDrLPPtXrfdpGTyRUrzZSWlFkNt19/TqnuJWTeN0NkhMJuk9d1NUmBHlvG8mppUXt01PEQd5YV+uTk96nlYXEQc4LK+q+MHsxEPIMB3lVJIJ5C3hOSfW306waBuD/9TzvVc/zPim+tpy86b0MYLl4XADgPPm5F8TXjPE875Oe5/3I87wfXbt27VE97498GhoagjfHwTwZ861vcc/Y9eb43//74M3xEzqPniB/9QU8GBv3udErjVvrR0apC+lHsn50SHyaHuKGvTTED4x7l1VlmoxWSDIqHGSbIF+6DhQIMnr9pmixYG6CPC4c5HlzNRnNcjijy7K5Z0tzOncJiCwHPNsZJcSPurVvHuN/JpuMGjkdBupFb63KaQqCLIkfzYm2fcicGPhzXi1yunwdWEVJ+xTtDGCctEu3NkuQ0YUWGQ2FgHeuAitkTu8IMmq3M5yxSLvVzuDq0q6j2chTCEGQp5vTkVNAJXHaK4ot0s60q61yIk676ou+Q/p9x0jbR9LMyUXa5T4ZOblIe7oTiWNAtdwn63VXt07nRF93LtLum5N1k97a1RZpZ6I9RhDkS+8Cq8JmThOTgrQTV3vhAt6vzcg+PTkEuYAxdtHzvHwA/wPALwD4NmNsKfmem4yxZZ7n/TWALzHGvi++/jKAX2aM+f4lHRDkYIL5CCeZBEpLU7+emwv81m8BmZnBh+xm4cwegswAeJz+SOJnEmRNsnY0Namb9AwySnprY729ihr3kXaGAeLWDqgeZIbeQUKySB/r/i7yafp9+5Q/uqu1VZFi1YMMiyCv12S0ZK10RrkHCkmQ88Lq8aJs0YMcFmQUwArijBaXliBr3jxBRqtNMprFH28hPcg7qTNK3Np9hIx29fbpnAjxG0joHuQB6tYapF2T0X3UGaU5tbSoPGiLxcbNdQ7SzgRpzxD+dUQ89gTxywBCnibt+Xkqp5UFhYKMetqt9cx2ho3EaX+qoUFk4GFnqw8Z7SY59euceoeGkDVH75DKKZ5w5tTll1NHh8ppZ2uzyuOpRtLOQPephpB22e8LhlWRIpVTbjiP7NMSTUYXLgBCJmk39qmm2pe0++ckTyS6U09uwDOQJxIDCXJyQ0h7HyHt9ORmX8xykGVOTc2KrtMeZIO0V1c6cuI+P8RpTU5YaFzQ+2QQ5MJCRdpnI0FmjF0U//cqgP8GYAuAK0KtgPi/V8W3XwQQIT+9UHztJ2Kef/55PP/884/7aQQTjDlXrnBavGaN+ea4vBz45je5Z/yjHwEtLcGb4yd8HilBvj32APlf/W08GJ9Oi4WPM+p5vN93ShfybUFDxeO6aqTcqvfaCP9+ME7H1gsf+TBpsThxhru1DMDoOaC0iBOr85fTkNEcIDkJvHeX9xlPTHCCnL2QEy3GBEEWzqiLIOdI4udyRq2cjp0mbR+idcATpN2PjNZW6pzqqoUzKjJLyYk0EEhXOyWns+4WC4MgXxM5MeJqW8Tv/hi/Ke/BGP/5yq2dw/938z1g8SKe09UbQO5Ubq1FRstX8z8rJaOStIc8/mf1I8jKrX1buLVI3/axwdHOcJzu0wU3QU5x2km/77JsYJzkdN/hIGeZZBTXaE70ROIdR05yn0QP8qGTnOqGvPSkXe6T2iHqIMO6VY++7sg++d7MSE9uSP84Jcj2icSyJVPkJPbpxntANt+nimV5ODqLWiw8z1sIIMQYuyMe/w8AnwPQCuBdxtiXPM/7FQA5jLFf8jxvP4BPg7dYPAXgdxljW9L9Hk8SQQ5aLIKZVXP7NrBhg/uf/cM/AMXFM/p0gvnwMysIcpIxdVsVbbHYULvJIH6STO1okg6ypx1kjxBkZpLRXkqQE9oZHZBeJAP6aTvDACFZXd2CIAN79nWkklHVziAI8mZN/CqqqzQZVTefAauKSItFvnBrPUGyPA85eZqMriigBLlUNVFQZ3RjfZ2VkyDtzc2KtCvi53GKKR/HCBntGxoycspSzugBlVOvIn4M3QOEjHa7c9rZTIgf7UGmBJmS0ah2tSnxyyU5LZStA7m5mL9wIQAPqyJFpJ1Bu7W6V9sjBFk6yISMZol9atdOe0cX2SebILvIqPSRGdAXH7LcWv64o6tTkdHd7W3CrWXY0Uz2idykt6GO5FSl90m72p6+SY/uU0i4tSDtDOCZKtJeRnNykXbT1d7Z0iLouoc9+3SLhR9pp/s0eOCA3qdheTMjf22qznG/1510tRnDzhZK2hvU625DXS3PgwHraqrUPhVHSU7qZkZ+IqFyMlosxD4V6X2amH0tFssBfN/zvDcB/BDA3zDG/g7AlwDs8TzvBIDd4scA8LcARgGcBPBHAJ6b+accTDA/gfNP/wRs3Qr88i9zUnz5cuqb4xUrgFdeAUZHgzfHP6EzcwT5HXlDnAecuzy1C3lEED9JRqunQUYlQfYjWcqFhCDIhIxWRznJOnaaO72KjBZx//EcIciXrgMFhPjlCzJ62yJ+9k16fmRUOqOZGcDFa8CK3DTEzxPEr5g/PnSSUzhvmmT0lUPAZuHW+pFRI6fj3BkFOK2WOR0/nUraKRllDHjHJ6f37vI2CiMnQtrv3OM9yFlzTNJ+9Qb/eZkZwEXp1k6TtLvIqCsn5z65coIg7TYZFTmpXu0zltMucqKk3bVPE5MmGTXcWqQloyZplwTZyunUOe75eiHg2Kjep8Mip7T7RJtQrLaP+nSvu3QnEmd0K4pssbBPbuweZJeDbJxIiH26/T4wf25KX/RsI8gzMQFBDiYYn/nVXwW+9rWpv+8HPwCWLQPmz3/0zymYRzKzjiCXV1Uiax6nVxuIC7mFuJA71I1egiBncUrVHuvUJGtAtw7YZFQTZDfJ6uqXxC+JffKGOMawZ5/8NH0Su1o18XuqsVH5j5Qgr1tfpajxGnmTHgQZDUkXMqwoqXSQl2oYZ1wAACAASURBVIUFGfU8rCg0nVH5uKKauNokp6doTi0t2tXuaMfcLE4C98l+X0FGZU691BkdTpikXZFRv5yEq51MYncHyamlleS03bj5TBG/9aS3tlTntKqoSFHjHOlqex4WLs4GPA/L8sIqp1URQtqjpdytBXVrvRQHWZ1IENK+u8PR9sGAWN909knnpPcpiS6DjHbpnChpJ0673ieGjfV1ioZW1JB9ikZVc8WqSETnJN1ajxDk3FzMkzkVuUl7hZO08+eSJV5fO1taMVe87va0t6vXnf8+DSFrjtinOHHa43HrdTdHZSx3S+XEYOS0gzjtvMWCP964uV7lVE5Ie3FpiXqtGQ5yflif3GTzfcpdnq9vHCTu/0Ry9jnIwQQTzCOac+eA3/s97Q+/+CLw13+tfzydN8enTgGrVgVvjj8mM3ME2UlGQ4KMFrjJqCJ+xzjF9ATJ2lQBIA0ZNXxkcrsXbSB48zj/VD4YcEgSZEL8/NxaJoifdJCvWwQ5RxLkB9wJHRvj9Gu+RUZvCII8JwO4ehPIzQZCosUiX7xpdOYUAkZGua/peebNZ3ZOkvjR5gqDIFPSLpsaIBoIHDmpGwfhIO0RQvxW8Wwu++Tkcmsl8VPtDIQgL1rIc7pyAwgvmSKncyZpX1vMKenhE6lk1POA149wj9juPlbU2MrJaEiRBBn819xACDI9kShfA3VDXDSSSkanlRPZJwbzJr0Up/0GJ89Gi4XHb9IrWsHzoDmNnNb7RE8k3jjGveqUjmhC2n8ocvKszBRBBj/1cZ3cTLVPqsViRSpp98tJknbaF22cSOiTm4pl+Tg69PPT/vtMTkCQZ2beeOMNAMDGjRsf8zMJZtYPY8Dx48D160BREVBYyP9OYgxYu5afLk1nnnmGXwEdDvP/Fsl58IB/3sPzHs3zD2ZGZ1YQ5EmWhPygeHm1dpDXE5K1uWEbIaOa+LUq4ueho7uLUy0m3FpBQ3vIzWf9RjuDJH5MOKOidWCQuLU9lGSRT9MbZJT01tYTMkoc5DVrS5V3vDJCCHKeaB3wQlgoSFZOfp4ifisiwhmFh+JoCXeQPUH85kmCbOYkH+9okW4tsLuN5NRl5qSIX9ydE388B2BJ9AwOKTIao+0M3SSnDuKMtjpyAgQZ5WvFHWRN2kEdZJmT4SBLgizIKISrLXLibi3PqZzklEJGpYNMcyJktKOb9Gr39yu3tifuR9pJTnGbIFsnEhZp39EqepABPLW9wcpJkNFqTZCLy8g+GTnlE9K+WNH3eQtTyWhxaalusagmpL2+jrSi6F7tHdTV7mhXO9TRHVOPu/r7+c9llvt/QPcga9LOTNKuerWTaJftMUmG3e0kJ+L+b2loVK815SDDIu2qf9zDCpWTh2WStCtXm9N3RdqJ0z6RnHUOcjBkNm7cGLw5Dib9JJOc/paUAO3twMGDvDmipER/3fXmWPx3wZjnngM+9zmgoMB8cwzwHwdvjj92M4MOsuvT9HZvrSB+1IWEx6kTdSE3CTL6Cm0aeAuoryEkq4Y/CUpG6a16lIwePskdZwbuY5aX+BA/QUYNknWTu9V2i8X9B5zopbRY+DmjhIzKnM6+A0SEg3zyPPcyJUG2c3KRUUn8/HL64VvAlhqYpB2EIAN4c4S3htjO6LEzgvgxdw/yVKR9me2Min7flJxu8zYQSUZzRE6031fl5CDI9omEzGm9D0GmzRWudoZXDgsCz8y2D2OfTqU6yAz8uUWtVhTb1bbJqO3W3h/jv4drnxYv5J7tFbFPhqudJqejgiCny4kS5FcOA5vTOe2e2bH9+lF+k+N0XG3G+C1/iiBfdu8TbUW5bbnadk533uf/gcvK5Pu0eAEwJzNwkGf5vPTSSwCA3bt3P+ZnEsysm5s3gdra6X9/ZyfQ1AT09z+ypxTMkzOzhiDL999rq3wI8jZCkFUfq4fWduEge+AEWTqjkiAzoIf2+w7rT9NzksWJXy8ho5QgdxhkdB8ho7sV8dtCbtLbuJmSUdo6UKb6aVcVRRTly8nPF1QrxMkoPCwlzuhK0lu7OlpqklGZUz1xtbc3aoJMemsV8QPQbrRY9KuceuNxd05PHyCknZJRTfw6SIvF7g5C2gkZ3dIoiR/DBklGGW37cBA/6Yzm5SpKuih7CQAPy8JhQZD592YpMhpVGRiudr1PDzJxtVs72jFXOPAdRjtDPyHtep/6hxOKLPcTgtyXICcSA377pHPaQZ327dvVPhk51bgJ8oqCAuLW6haLBYs5GV1G9mlFJIK58+dDkfYUVxuOVhSR027LaRc57aM5DZCcEuREgpD2fkqQyckNPZHQBDlp5LRdEWTxustMzamcnNwUR0lOkYiixstIi8UCSdrz8wVp5/skc5qFLRbBkPn85z+Pz3/+84/7aQQzW4Yx4H//b06G7TfHPT3AyAjvID59mn+Q7qWXgBdeAN56i7vHwZvjYB5yHj1B/rPfxoOJcU6yludyL9KPZFGCfOgEp0twkKxaFxmdimQhlYxurOBk79BJt4MsiR8Df87FqwTxu8Z7nP1I1sTE1A7yzfdEb22mJsgpN5/5uLXTzYkS5PqqVGfUIMg+tw++eRzYWM4zOHyCkHbijJ46T0j7JUHamXlDnC/xEzlJ0j5fEr8sk7RnEIL8MDm53Fqa06s+OfmdSKg9QypBVjmddLeiyJxUi4UjJ4O0++SkyKjltNOccsmNg/J1d+Yd7vOGQsDJs0BJZPoOsp2T67VGc6InEq8f0QTZJu3pXG3GzPYYV/94yutOtKJMtU+ZGViXk48jg4GDPFsnaLEIBgDw6qvAl77EL9+w52d+hqsROTkz/7yCeWJn9hBk8XhtdZXyIinx29xIXMhmi/gJgtxOSJZJRinxo25tgriQQwYZzaBkNNPROkBdyMbtmoxu1g5yhdXOoNxaSbIMZ1Q7yEvzCEEuFMQv5GF1mXZGy40WC53TFkJGd7RqV7ulvT2VtHtAzCB+Q4YzqsjoAULaSU6xgQGTjIqcWjs6VNcvdUafIqR9Q71uHeAEOQMAQ3FpaWpO4tY8/jiEhUtSXe2VkYjKZnXUndN6Kye6T9Ktbe1oUz5te5d2a/1y6h/WfdH9qhUlid5EHJmi0YIS5PbuGMmJ9vvSfWrQbi3JqZzmpFxtz8hpmXTaCRnVrjY5kfCA4qgm7eX0dbeZEOTt23VOLTQny9V25hQX328TZJITOZEwCDIh7a2kB5m62puNnNyu9uqo3id6IrEsjzjIap/ySduHPrkZm5z8sf+OCyaYYB7hvPwyMDBgvjn+zGeAP/5j3j/8b/9t8OY4mEc2j5wgL//qC7g/Pma6kE7iZ7UzSDKaQvyIg0zbGX74NrBFkCxKRpU/Sp1RELcWmiCDcZpWIR3k88QZvQSsLiAOsiB+125yQmeTrA8sB9kmWTdvc9KVmWmS0UtXRV+0RdpPnjMd5PJi/uc7THKyiV/tOmg67Ef8aFODy0E+pnOSzqid06nz/CY2Oyd6k550tf2IXwppzwTmZInWAR/Srk4kLgKRlak5HT3F6W0KGR3hHqyLtLvIKN2tdCcSytU+CVSV8cfK1QZ/bmUuB9nvRIK62mlI+xxxIuEk7VeAFXmpDrIrJ7pP8PifieZE9ynllkE7PxdpR2rbh9wnmpOfq33pYUj7A/57UNIucxKu9rqcPBwZDBzk2ToBQf4Yz0//NL+djs7v/R6wfz+CD8sF8+POrCHISeH5raVubW2tJsjbGhT13N7SrEhWM2kdaItpktXZ36u+v3toQLmQfQcS2os8cABzsjhB7iHOaKdNkIUL2SpbLBiwY3craR3YThzkzYpeVdRo4rdmbZkifisKCUFeLghyRggLsiXxy1PEb3lBgSbIlIxWUdJOctquc9rR2iyoMSF+gmLqnPpUzy1v++CUry+RMEm7kZMkowPiMdNuLXVGrZy27NAEeX19vcqpvLpak9EoJe2E+MmqNs9TOXHSvggICTIqciqWbq0nWlFUTvWaIKsTCf4c5T61UILsIu0e0JMY0mQ0ofdp4MCwzskg7Y59YsDujg71mLu1/BRiyw7iINfVqdOJctL2QcnoykgBIaPhFDKq9ilkkXbSYlFRXUOcdkLajX1qUfu0u6PDeSLRNdCv94n0RdN96kvEnftEc2onvdqt7WSfWpp1TuR1t17dpMewtrrSSdpXyH0KeViqcspQJzfL8sNGTnPnzwc8D2OTgYMcTDCzar77Xe4Y0zfHzc3cK+7sDN4cBzOjMzMEeWzM0TqwnLcRGCRrFKgohiJZlZKMjnDq9GGIH/0eJ/EDp9U1wq0dGeU3+CV9CDJLCuLnIKP0hrgHloM8by5w931Bsiwyaru1LjJKSbvM6WHIKHWQXaQ9hYyK3to3jnFXG4z/XjUuB5m62hd5K0mSAZfsnHKAyaRJ/FTbxwP+820yekv0+9pk9OIVYKWDjLocZNgnEmSfKGlP69ZWA8zjrSgprjZMgkxzovtkkHbbrXWRUdrvS8goA9mnLJOMZmYCV98VN+kJgrw87CDtxEE2WizoiYRPTvREwnitUQfZZ5/sEwnb1U4yd3sMS5oEeSr332+fAoL8xBDkY8eOAQDKy8sf8zMJ5iObf/xH4Od/Hqio4K9XuYt79gB1ddw1lvO97wH//M9Adzd/7QYTzEc0s4YgT7L/v70zD6+yvPP+5z6BENaAZBHIQggJkgUXAioEy76EJaCyRNvRLuN07Dutb/vOTDvTxeky41xqp4utl53WOkux7qK4Va1aFRcWkV3WQFgkEGSV5JyTc79/3M9yP2cJIIRE/H2uq5fHrM/59j5483m+53fHQAUNcuXIK7ypDVVjr/YNsmVGJ053300P0+b6JmuW1YWsXegbP7sXee0NlhlduMCzoZ5BjsX8LmQsxsSa6V5/dNxk/+Qze4qFZ0Y94+eaLH+KxYCCuHfT28Yv5Bo/Y0Zz8/JI794dFBQUD6Gr81xLypOb0YBpnzTBsXmKCdOn+qY9rqvt5mRP+7i2bpFl3VOZUf+EuOlzfTMayGmSZfzsKRajRvmdUTcnBYUlQ80mLW7qgG/a0yyD7Bu/3EGDknSQFcOs6QwjRlqm3eogV0/0zeikmhleNtOtudqzrrvWy8/MQXbW0EJnPWnNPNe0464nv6udsJ6cnEJpbk7WehqXZIoFUFpRZrJBU1hS7K2ni12DHFL087raTk7OGuvWo4djRvOsTvtQP6eKihSm3Z8XXT1pgrM+FBOtDvI0O6frrTsS1smM19b52RibbLIJrCevg6yZZr/upk/z+tnVEyd42Yyy5kWbOcjO66683MupoHiIl1NuoIPs59TdvXOTk+3l5E2xUIoWMcidmmHDhsnm+EKhtdVsgG+8EQ4fNhtf+y9qL77ob46nTjX94rw80z+WzbHQQbSrQT7mTLFo9uYgpzCjQ5xTb+x306+NM1mXOSZrxQYY6Ro/a1ZtwIyudcwocTOR3e8F3vvAOZHPMX4VbmfU7dbid0a1NhMAiuLMaKvTGU3WrY3vIMcb5ENHnPm+SQyyZ9rdnJRj2l3jt93v1q49CzOaYNorEnNKapA1bKqH4UUpTLsz7WNfig7ykeP+iYMt4WC3tq2cUprRZPOiHTPqmXbrjoTdrV1pr6e2TPsIZz1ZOa1an7yr7d2RcLra3h0JdzoDpodfaE9FOcV6iu8gZ3SDY8fNP09lkL0O8h4np7REg+zmlOp1t9J9rnEdZPsuROB1F59TEtMemD+e7I6Ejpv24ayn1hg0HYGcfsE7EilzOmFO1IszyGUX5bBeplh0Wp5++mkAZs+e3cFXInxitDZTJp5/3v9YbS0sWQKFhWb02siRcMstcOIE/Pd/w7hxHXe9wmeCTmGQozpGzFxN4N309tSBqquvdk73UlRPdAwyiokzfOM3ba5tsq6zjJ9vRufdsMgyfv7c2lrbZM2/zutFTp/nm1G7gxzojFZbJ3qNTmZGlWNG4+f7KvrlOiYrzTfImVl+t/bigvxABzlgkBOmMyhGjR3rTbGonjQpeU6W8ZtpmdFay/jNs8yoZ/90nBmdf61n3QNTB7wpFjBu8sTkpt3q1pZWuMYP37Qr89xJS4NQyO+MpinPjNo55caZUTenYeW+GfW7tSowFSVg2t2TGV2DnOHekbBystdT3aJgTk42tdZ0hlmWGU16R0JD9SQ/J386gw7kFFxPxV5OudZ66pvsjkROTsAgu3ckCq2udqD7P3Kkd+fGn6utqHY7yCgm1kxPbtq9150OdJDn3VDn38WpW+jntCCYk5vNNGs9TZg2nTTHtHsGWWtGWSfpeTlhddpDioKhQ7y1lSqn7s566puTFTDI6d27A9AsUyw6NXfffTd33313R1+G8EmIRuG558xJdvbmePNm+NnPTKf41Vfh7/4OxoyBdevMx2RzLHQi2t8gex3kFO+m9wxyXLd27RZnskQbBnmFY5Dj+7TvrIEr3SkWljFdud45SY9E41dRYh67nVENbNsJQwuNvdq1DwYPTOzWHvgIcp1u7ZFjxgQHDHLEn84Q6Iw6J3rFG+RAt9Y2yA2JXe34aR92Z3SFY/zcSQOeaY83fm5+62B0eWJOqz8w2UOcQd7h5+SZduLmRTea6QyeGb0IojFjPj3T3pyYUyoz2mZOpzKjm83/x/Fd7ZVWTnYe9hpKMKNuTpZpT2qQSd5pt3Oyzajd1Y46ZvQi6yS9pKbdWU+pTPueD52c0qB+NxQMPPUdiQpnPb1nd//jchqVJCf7sd1TTlhPyUx7fdt3JM4mJ3s9uTl17SJzkDs5MsXiU8Kdd8Kvf20e/+IX8PWvJ/+6++83b7gThA6m0xhkt4Nsm9HKQGfUNcgwZuJ4y/hNS2qQZ1rGb86CBb4ZdY0fmmtv9Lu1td7cWtNBTpjHGosxqWaG162tnjjJn1tbPc7vQo6y5tZWllud0aGeyRpQUOCZUdOtTYO0ED379nHeYe93IXPzBjnGT1FQPCRpt7bCMsjBrvZEq4M83bN/wc7o9cGutttHtszoPMsg1y5akDynuXNIcx7bBrnaOiFuVLXfQR5RZZvRSs/4GYOc5vWvPdOekyQny4zmemZUUVhsmfYKu9M+km6OGQ2advuORE0wJ88gW512q8fu3ZEgmUGOz0kzzZrOMKFmmm9GJ/nTPnwzqhlhraeSct+0e+sppMgtyHN62/Gm3V1PVle7IC/JXG3FsMpKzxpfOmpUijsScQbZ7SDPne3ndN113toKdP/dHrv72MnG3LlJNwbZm6sd7CBPmDHdOz2vOjAHeayXTaVlkEvL7dddcdKcMrP8nJKZ9ovz7Q6yGGRB+MQ8/7yZOOFujiFxc/z5z5s+8Y4dsjkWPnWcvw5ySjN6hiZrZZwZHZXMIK91TBZxHWTLZL23yekgY35XZSmQyoxq2GkZ5L0HIM+ZW2tPZ0hlkHUMMjJOY+pAyMyLHuB0kOv3WMavAYpd074tMacE0+48V+XYYdd6Jhi/EVZOtml3OqOrN1nGbzNUJMnJ7oy6OcXP902ZUzhFV/sUZnT3fjPRoK31tGG7sZLx66kt057MjL69Bq5KYpMTcoo37QTvSNhzkFPdkWgzpx6pTXtKg2y97ur3+CfpbdkFxUlyWrPZXDvO6+7yZOspRU6B+ePxr7tk68kyyBt3QFmq6TF2TsnWk9tpb3WmovQwJhkSO8hWTmX9c1k//9bT/vPMRQzy+UEMcifj4EHTJ16+HPr0gaNH/c898ADcfLN5/KtfQU1NR1yhIJwWp/tneLtukD9qOcnF/3s34WiUkr792Xn8COFohBH9L2bTkSbC0QhVOYNYe6iRlmiEsQMKWXFgLy3RCBMGDWHZ/gZaIhGmFZTw6of1tITDzBo8nBf3bqOlJcycIcN5fvdWwuEwc4eU8+zuLYRbwswrLmdpw2Yi4TC1xeU807CFaDjMrCFlPL97K9FwhGlFw3hpz3Zaw2EmFZbw6r6dtIYjVA8qYlnjbmKRCKMGFLDi4F50JMqI3IGsPdSIjkQp7Z/D5qOHIBJhcN8s6k8cgXCEizP78eHJ4xCO0K9XLz4Kt0BLmO49enAyGiEzPYPm1igtrVFyuvfkSLiFltYoBb37su/jY0SiUUr7ZlF/BjlNHFTMm/t30RIJM62wlFf3mpxqii7h5T3baQmHqR0ynOecnOY5eYTDYa4tLuepXZuJhsPMGVLOs7u3OjmZr29tCTNtyCUmp5YwEweX8OrencQiqXOqzBnIuo8a0ZEIw/pfzAdHmyASpbDvRew8cTQhp749e3E40gItLfTo0YuPo2H6duvOyWiEltYoud17cTjcTEtrlMLefdn38XHC0SjD+mWx49hhwtEIlf0v5gMnp1E5eaw5tJ+WaITqAYUs93Iawpv2etpncppZZJ5fSzjM3OIynm3wc3LX0LziCpbuMo/nOh+PhsPMdNZTIKdwhAkFQ3lt305i4TBj84t4a/8ek9PAAlYcSFxPJf1z2HL0UJs59evVm4/CzdASpkePHnwcjdCvW3c+dnPq0YuPWpoJR6MU9s5k78njRKJRhvXNZsfxw956+uBIEy3RCKNz8ng/WU55Tk7hMNMLS3nFWU8zB1/CS3vt9bTNvO6Ky3imYQuRljBzh5bzzK4tzuuuzHvd1Qwp4wU3pyLzc1pbwkx0XnexSISxeUW81bibWDj1eirtn+u87qIU9L2IXU5OOX0yaWz+OCGn7t27c7I1mrCePgqbnIZkXsS2RSluB7f1h2Y7bJCVUvnAfwO5mL9O/UZr/XOl1O3AXwMHnC/9J631s873fAf4MtAKfF1r/cKpfo9skIWUtLSY8WsA3/wm/PSnp/6ef/s380Y7mTThEYlE2L17N83NzR19KZ95MjIyyMvLM+9Js+gUG+SAQd79oW/86vcmN1mpDPLqJFMHTmlGk3SQV6x3epHAexvNlAeN6aeOKDWPN26DsmJjtbY2WN1aZ76v1rD7AOQ776Y/6J6kF2+y7G5tDLpnpDRZp2VGA8ZvBwwf7Bi/LVDpmvaNpgdrd7WTmlHHGqfq2a5c5xu/9zaZecrx830DOe2CErervTduDrJj/A4cSpFTi2VGrZzcEwcPHTYnxCU1o45p37HHWMa2DLKd06q40xiTmVF7ckVgikX8enK7tU5OGmPaK0sTzeg2Kyd72seeRnNHwl5PXlf7dM2oldP+g5DVr+2cUhnk+Ds37h2J5VZOy9c4driN9bR8DYxyPh7oIFs5ea+7FAY56bSPNu5IRJwOcrKckqynzmSQlVIDgAFa61VKqd7ASmAusAA4rrW+K+7ry4AHgdHAQOAloFRr3WZv5NO0QW5oaAAgPz+/g6/kU05zMzQ1waBB5t/ffhvq6uD73zeHb6xaBd/4hn/65Kno3t1spAsKzBvuhAA7duygd+/e9O/fHyUHm3QYWmuampo4duwYRUVFgc91ig5yJOZMsQgpSiornC6korLK7YwqqrwTvRRj7W6tNY916hy/C+l1kDXMWTjf+5pAZ9Sa71u70Oogz7feTT+31usdT5xZ482trXZPiNMEu7Ujq/xu7aX+1IHBpSXefF+vCxlS9M12u7WKnn0znW6t30HOybc6yO5835CitDLYrfU6yHZOk/3pDH5nVDFtbq2f0/xrrW7tAn+G7Q11dE03fdC51rzoWmuKhdcZjWlr2of2O6PxOY2rNpM/INCtHVZR7s2qLUyVU0621UH2c8ro5XRr8/Pp2j3Dy8ntIJdWlHvracSoKj+nMXZOE4M5OXlMm1drddr9bu2cBf4c5LmLFvo5LVpIl3QzFWWOPVd7vt/VnlprracZM/xu7WSrW1vt51RhT/sYUenlUVjqd5Bz8gZ5j/u5OXVJo3vvXl5O6V5X25qKUloS19VOktNYP6fqyX4H2Zv2QVz3f749f3xR4HXn5jTvhkV+B3nhQrOeYjFmWl3tQE41fk5jrakoVd60j5jfQfamopj1VDC02J9iYU9FSZZTdpa3ni4uKPByam6NnLM/684WrfU+rfUq5/ExYCMwqI1vqQX+qLVu0VrvALZiNssXDPn5+bI5Phu0hh//GIYPh+pqMyGiqMhsjgF++EMYPRq++lV/c9y/P7z5pv8zJk+GpUvhnnvMBIodO2DDBnj8cdkcp6C5uVk2x50ApRT9+/c/K5N/fqZYRMLGjAa6kJYZHZpvzFTKDvJG01uM74wmTK5IYrLsj9vvrH9vo2NGMSbL7SC7Jss2oxpzze4c5L0HIC+JQT58DPpnGuN3stkY4tM2o0mmM+zYC4Wuad9prFp8Tm5n1DPIw0ERN9831dSB9+HKS63MbONnmfakOW1Pbtrrd0NRnpNTEjOayvh5HeTTMcgh2N0IA7Pi1lMo9XqKz8ldTwEzejodZMsmB7q1G+Eyx7Sv3eKb0ZTTPuwTB61pH15O9smMtml3TmZMuCORwrTbdyTqd59ZTqusnDwLrILTPuxsEgyy87it9dRmTjpu/niqnE4kuSMRxjtxMEVXu7x/Lus6iUGO+/mDgb8AFcA3gZuBo8AK4Fta64+UUvcAb2ut/9f5nt8Bz2mtH03y824BbgEoKCgYuXPnzva69HPKQw89BMDChQs7+Eo+Jbj/LT94EH7zG/jtb1N/7Xe+Y+oRLl/+srHJl13Wvtf4GWDjxo0MHz68oy9DcEj2/0enMcit2pxWNdSaYlFRdYVnskZWj/FOOxsz0T9Jb7w7xQKYVlvrGasaa+rAnEWLfDNa55usufZ0hjrfZM2a776bPsY014zGYkyomeHZUM9kaRg1ttozWSOsOcilI8ot42eb0Xzf+FlTLLpn9vENci/XIOfHGeTuEApRUmGZ9lG2aR/rZTN24kTP/k2wzOjU2jl0y0h3TPs8a9qHY9qdbPwJBDf4ZnTRAj8n68TBqXNT5TTJymmsn9MoO6fK5DnlOzmlpZGZneXZP286g22QC4IG2Zj2ECWVlhmtqgrekfBy8tfTBPckPTCmPYkZnbNwgT9jdDtnJgAAH0hJREFU+wb/xMF5N/pmdM4iy4xelyQnrQNmdMzECZ4Braq2zGiVb9pLKyu8nAq8EwdD5OTbdySsnBzT3s8yyDnWtI+AabfvSARystaTNe3DzmnqvFpvcspMa/74HOvEQTunuZZBnmPduakJrCdrioV74qDWwZysedGV9rSPCisnbz2FyMn3Tbu9nlyDnJnt53RxgZ/TyWjnMcguSqlewGPAbVrro8C9QDFwGbAPOOPBwFrr32itq7TWVdnZ2ef0etuTe++9l3vvvbejL6Pzc/IkTJ9uZg4PGWKssL05vu02ePll+I//gL/8xVjgW24x/3T/993vyuZYEOI4f3OQA11I24zGmaxhRcYsJzNZobjO6DttmSy7P5pkNqtnsmzjh2NGHZO1ZSeUOp3RnZbJ2rPfzN1tjcHBw77Jsg1yqg5yt3RI7+KYrFN1RvdCYRLTnqozaue0PMVpZ6edk3MKWlLjR/IOcrxpd41fTDsd5CzH+FkG+WSLMXrNjkFuM6cmyHJMu22Qd+xxcgrB5p3GPsbnlLCehpu/HtoG2bbDCXckkuVkddo9g0yKOxLETUWxutp7GiH/FAbZvSPRHDY/NyPDmNFu3UxOTYchs7e1nhyD3LDfTMgIKWsqintHIsl6SmnaU6yn08rJWk+2aY/vtA8vNh9370ic6bSPhA6yk9NRxyDHrafOZpCVUl2BpcALWuuEd0g5Znmp1rrCeYMeWut/cz73AnC71vqttn7Hp6mDLG/SOwVf/jL8+c+pP//wwzBq1Pm7HgEQg9zZ6PwGWcHQ8vLkZnSsZZAnTXA6tKYLmeGarLnO3FriOqOLXOMXZ7LqFllmdJE/jzWpQbaMXyxG9eSJnr0adU21P4/VM1ma0ktH+GbUPvmsMN8yftne4x52B7lXDwiFfOPnWEO/M1oWyCnQQbZzSvdz6pYsp/nXB0y7Z0ZvtE7Pq7O7tQu9nGbOvz61QXZysg1ylW2QRycxfuCfOIjVGU1Lo69r2rukeSefZWZneTkFDHKJZdor7fVkmdFxlhl1u7VxBtkz7cQZ5EULSU/v6q0h/47EQm/dzLHmas90O+06xrTaFKZ9UjKDrKl050UT7CAHzahlkO2cevf252q7ORUWWDkN9XIqvbSS9G7pJqeqKs8mB9fTeOuORFxO6YnrycyL9k27fefGy6nOzsnttMeY6p2kF+y0j7U67V5OmLtNbk4lFWXeekraQU5LC3aQ+8TfuTHrye0gn+xEHWRlCou/Azbam2PnzXsu84B1zuOngEVKqW5KqSKgBHj3fF2v0IEsXWq6xPGb44ceClph2RwLwllxHqZYWB3kgdmOydrrdyE317dh/EpNn/a0zOj7cNWIxMenNKPxBtk1o5hT2UoKE7uQbrc23owePmq6n2dqRpN2RpU1daAN4/e+Y3UTcnInLCTrHY+wHjsdZNuepjLIa5zfFW9GU5n2QAf5sHPiYBtmVGsz3/foCcf42d3aNNh/KM4g2zk56+mDnVB6Ggb5csuMuncVUpr2+Mycx8vXO1NU2lpPzhxktLkL4OW0D4oGpsip/2msJzuntky71UHevgcGn0ZOFSUm11UbHNNurSflrKdkr7vAeoqfipJiPV3aRgc5YT0l6/7bHeRTGWRrPXXtQkX/XNZe3zkMslKqGngdWAvmvc3APwF1mHqFBuqBv9Fa73O+55+BLwFRTCXjuVP9HjHIn0LCYdOfVwq2bIGpU/3PLV5sPn7VVR13fUKAzmKQf/KTn7B48WLS0tIIhULcd999XHnllYwZM4Zly5adk9/Rq1cvjh8/nvLzhw8fZvHixdx6q//n7Ln8/S733Xcfq1at4r777kv4XKc2yDG0M8Wi3LOh5VX+SXp2B/nqSRM8kzV+xnS6dUsHFFPmziHDMaM1rvFTxvj5ZrTO6ozWWZ3RRQGTldCF1JrxcWbUN35jk3Yhvc4olhlVitzCAs9k9UtiRvtk9080oyFFvtUZLaks83Kq8AwyjKy+OmiQ3Zxm+jlNrY3Lye2M1vknxNUusk/PWxRnRp1urWXaAwZ5pmtGNWMt0141bmxy015Z4Z2kV1BafGozmtnHTCLIzSG9p+mMZnumPUS+ZZBNtzbdy8kzyNeMtXJyplgEzKhiinXiYI17R0K5BjmxgzzXOiFuTl2db9oXXOebUa9bqxlfY5vRib4ZHeffkagYNTKwnrycAnck/PWUGTCjvSEUIjMnm249E9dT0LT7nfaK0ZZpv6Y6aNrd9VQz3VlDiqnuVBQc0+6epGfndGOd30euq/PX08IF3rqpsbva9kl6M/0O8tiJExM7yECF3UGuLLdy8rva2V4HOURmdn+v+5/hmvacbG895eTneab9RKTzGGSt9Rtaa6W1HqG1vsz537Na6y9orSudj89xN8fO9/xEa12stR52Optj4VPIzp0wbJjpFhcV+ZvjBx4wlvjqq2VzLCTw1ltvsXTpUlatWsWaNWt46aWXvIkw53pz2haHDx/m1/ZJi+30+9euXcuIESPO+c/tmA6yPXVg8y4occ3oNmORlDI9zgrXjNomK974Jek/Jhhkd4btOmdKAanN6AZnOkOC8bM7yE5nNBaDA5bJOnzc6SDHGz+ng3zUMcjdnHfT9+4FXV0z6s73/TBu2sfAU5j2FPN97ZwCExlSmPbABIJkObVh2k9lkD3THj/tI+pMHUhi2tO7mpy8bm0bOQVMe70/7SOVQV65wTynpOvpVDlZpzTapn2VM1cb7ZjRYUm6tbtO447ER45pj+/WxueUyiDH5WTPHz+dnN7/wJk5TnA92TPHU3WQU1n3tjrtCVNRrPXk5uTOHw8Y5MN+Tq5pDzs5tWXa3fXUyQzy+eLTZJAPHjwIQFZWVgdfSTsRjUJjo7nrk5Pjf/zoUThwwIxYS8ZTT0Fl5fm5RuGMCRjLH/7QjMU7l5SVmRnWbfD444/z+9//nqeffjrhc671ra+vZ/r06Vx11VUsW7aMUaNG8cUvfpEf/OAHNDY28oc//IGcnBxmzZrFunWm2XXXXXdx/Phxbr/99sDPmjt3Lg0NDTQ3N/ONb3yDW265BYBFixaxZMkShg0bxpQpU7jzzju97/npT3/K/fffD8BXvvIVbrvtNurr65kxYwbV1dUsW7aMQYMGsWTJErp3797m873mmmv48Y9/zDXXXJPwuU5tkN0OcnG5260NUWG9m942o1dP8uexjp9uG+Raz4zOsIzfbK8zauyfP9+3Lm7qgLF8Nd7c2tRmdIzdhUxlRkf4c5Btk+V1kOO6kD369nUsYBbdevV0Osj5pPcwlq+gxDfIQ725tSEqqkYmNe1eBxkz7SPjVGa0zjfttTfUpTCjVmd0gW+QpySY0bRE027l5JtRTYll2o0ZNZlle3OQQ/TN8Q1yRp/ekBZyTHtPr1trG+Su3ZLkNKrKymlsYk6uGXVymjrPX081CevJzcnqals5za5b4K8nazrDlHlWTjNneDmNmeQb5JHWHYmKUSOdbDQlleVeTvlWTna3NtPttKeF6JHZx7PKtkF2cyqwcvK72iEqAzmNSXpHYsLMGf7rzl5P8+NNu+lw11qvu9obFlo5LbI67b5pn2IZ5PE1071sxkzyDfLIcWMCOakuiQY5v3SIn5Nr2ruY11jgjkR8ToUFdM3ofAZZSCQrK+vC2xy3tprucFERlJTA2LFw5ZXm8S9/aTbFl14a3BzfcQc8+yw88gi89ppsjoVTMnXqVBoaGigtLeXWW2/ltddeS/p1W7du5Vvf+habNm1i06ZNLF68mDfeeIO77rqLf/3Xfz3t33f//fezcuVKVqxYwS9+8QuampoAuOOOOyguLmb16tXceeed3tevXLmS3//+97zzzju8/fbb/Od//ifvvfceAFu2bOFrX/sa69evp2/fvjz22GPe99XU1LB3796E379u3bpPn0E+HgmT/T93Wgb5TDvIbmfUMX62GVWO2XM7jwnGL8l83+VrndmsmJ95RRme8RsxzHx8w7ZEg9yW8Ws8BBfb8337QiSS3CAfOwHplkE+1QlxAdO+08op3rRbOXmmfa2xdsrp0yaz62+thqsvJbFbe6qckhg/14zu3EPCHGQ7p6gzxSLQre1lzJ9t2jPSTVb2iYP2tI/dH8LAnLa72uu3mZ50m512ZxKFws9JAW/Z62k1XHVZ4npqyyC7OW3YDuUpzGjCeopB40d+TkePp1hPjmk/ety/I9F0BDLjp6KEgh3kVF3thJySmPbAqZXWWkn1unv3fRh9aZKcrPV0qukxbeV0wDHIXk6ZKQyy20F215M/L7o8K5d1YpA7LQ888AAAN998c4dex1lz+DC8+y78zd+c2fd9/vPGQCrVPtcltAudpYPc2trK66+/ziuvvMJ9993HHXfcwc033xwwyFOmTGHLli0A/NVf/RXTpk3jxhtvZPv27Vx77bU8+eSTp2WQb7/9dp544gkA6uvreeGFF7jqqquor68PfL/7PT/5yU9oamrihz/8IQDf+973yM7OZs6cOYFr+vd//3cikQjf/e53Uz7PhoYGxowZ4528GU+nNcjh1lbHICuGVpR5nVG7g3xFnMlyLd/4Gb7xmzK31nsHfY17kh4wu26RZ5DnBsxo/LvpXYNsdZCtKRbjXYMcizFmim+QR45L3kG2jZ/frVVOtzbk9Wg9g5yZ6Zss2yB7HeQhjvFTzrxo3yD7pn1MoFvbLVlOtX5ntOZ6f+rA7DrftHtmFE3tjTdYBtnvaifNSWvGz6wh5Dy2jV/VuLGe5auw5iCXVFg5DSvxrHFitzYUl1MW6T3NHOScgkHeKYO+QVYMtTrI5am62tYJcYFOe6CrfS3d0tNBw+xFC0xO2u0gO93aG2/w1tDsRadjkK2cJqc2o75BrvDWUIF3kl6IbGs9ZeZmJ5h2ez3lFuYHcvLnRVfEGWRnPVnTPgI5eXO1FVNs0251/2fXWVNRbvA7yLU3uB1kzWyr3x7MyX/dfa5mmtfVHuNN+4gFpn2Up8gpv2SIv55c0x5nkO2c/PWU5+X0cSR87v6wE845DzzwgLdJ7hBSyaNYzNQg1q83b5J7+WX41a/MyXJf/zr8wz/A00/D3/4tjBgBl1+euDn+x3/0p02sXg1f+hJcfz38+tf+x3/0I9kcC5+YtLQ0xo8fz7/8y79wzz33BEysi7tHAAiFQt6/h0IhotEoXbp0IRaLeV+T7FS6V199lZdeeom33nqL999/n8svv/ysTq+zryktLY1oNNrm17dX/xjaeYOcnpZGFxUCrdm6bj3hlhbQmvXLVxJuaQatWfXGMlrC5uPLXn6F5pYWQPPqc8/T3GLeif7ik0/R0mL+Y/bsI4/REjaPn37wYcLhCCh4cvGDhMNhQPHk4j8SjURAhXjqQedxKMSzjzxKayQKoRB/emKJ9/jVZ54jFo1CSLHsxZfMYwUr//IGOtoKSrF2+Qp0aysAW9auN+YKza7N28xts1iMxp0N5nFrjMP7G41Vjrby8ZGj0BrjSOMBWk6cgJimsaGB8MfNEIvRsGUbkRZjUE1OzaBjrFu+khYns5WBnP5sPo7m1Wee9zJLyMl5/PQfH/JyWrL4ISLhCKBYsvhBIpEIKOXnpBTPPvJYYk4qxKvPPEssEgWlWPbiy042sOL1N002CtalzGmLl9N+N6doK0caD3iPvZwOHCTs5rRrN+GT8Tlptq6119MKbz2tfP3NYE5hfz21eDktcdYWPPvwo+ZrlJuT+fiTi/9oMkPx5B8WE42EIRTi6QcfSrqeXnziKWs9WTm95Oe08vVl5jGKdctXOtkotqxdZx5rza4tW52cNAd27fbW05H9B7z11Hz0KLS2BtbT/l0NhJubIaZp2LLNe7xl7Tonpxhr7ZzeeMPP6aWX/Zyeec5ZN5oXn7ByiltPLeGw9boz62bJ4gdNTkrx9IMPe6/BVDm99szz/uvOy0mx4g0/p/XxObW2goaGLf7rbv8u93XXypEDB531FA3kFD5+wnmNuutJ07Nrejv8qSd8KjlyxByi8aUvwcSJpgLhvjGuqMhsaN3HxcWmBjFrFvzzP8NXvgJ33QU//7nZGD/yiNkoP/88HDtmfn5ZmTmu2d38fvWr/u/OzITvfQ/uvBNmzOiY5y9cUHzwwQeehQVYvXo1hYWFZ/xzcnNzaWxspKmpiZaWFpYuXZrwNUeOHKFfv3706NGDTZs28fbbb3uf6927N8fc14DFuHHjePLJJ/n44485ceIETzzxBOPGjTvj6wNYs2YNle1UO2p3gxyNGYNcXO53IcstMxpvkN3Hn7OM3+Ta2d5M5Bnzr/OM36xF8z3jV2vNY53jzWN1u5COybLmsU6ZW0uaY43Hz5zhG78pk32DfE21MaOagPErrawwb4aKM345VhfSGORQXLfWN1nZ+XleBzm/ZKhn/IZW2t1afw6yndPVE/35vtfUWB3kuXOczGCGZUZnLfTN6Jy6hVZOvl23c5oxP5nxi5lpH15OlmmvTmZGoWSEn1N+yVDLIOfH5ZQGXbv4xs/KKSt/UCCnoEH2O8ieaR/nT2ewO+2fmzGdjG4ZSXLyTfssy4za66nW7iDf4K+tGZZpnzx3dvL1NHlSsIPsmPbyQLfWzqnYm/CRY5nRPjlZ3nrq3qdPomnPtwxyadC0dw2YdveORLXXOx4zeZJ/56Zmhr+e5tVaOfmvu9nJ1lNMM8c6SW9W3XxrPV3vzYsO5GStp6snx60n746En9PQQFc73rSneZM9TGZd6J7kzk1uodv9VxyXDvJnC61hxQqoqjIb3YoKf9N72WVw003wyivQsyfEd58ffjjx533hC3D33eYNU/ffb06zy8iAvDzzs3/5S39D/MwzMHPm+Xmewmee48ePc9NNN1FWVsaIESPYsGGDV4s4E7p27cr3v/99Ro8ezZQpU7jkkksSvmb69OlEo1GGDx/Ot7/9ba6ypqr079+fsWPHUlFRwd///d97H7/iiiu4+eabGT16NFdeeSVf+cpXuPzyy095Pck6yO1pkNu9gzzwD3dz4uRJYvV7IO9i8x/5rbtgSB4qFEJv2g6lg81j51Q4BejVm+DSYSil0Cs3wBXDzWOnW6uUQr9tupBKKfRbq+GqS+Meh9Bvr/a/5t21MKrC/K4V6+CKMvP4vY3md4VC6DWbzTWEQuiN22BYkfk5W3fC0AJzbTv3QsFAlAK9txEG5qBiGt30EWRfRKi1ldjxjyGzN6FwhFi0FdWzO/rIMcjohuqWjj5wCPr2QXXtYn5Gbn9UWpr52fnOKYNeTgq9cQdcUmSeh9M79nK67BLzeOV685zs56oU+m0zoSIxJ9MfTfia08lp7WYod3LasM25tricdu2D/AFOTgdgYLbJ6dBhyOpHKNpK7MRJyOwVzOnwMeh+ipzq90KBm9NOGJIfzAnMeqosQaHQqzf6OTkn4CmIy8leT1Y2gZycrwmF0O+sObP15OWk0Nt2QfEnyKklQizWiuoRl1NjE/TLNDntaYSLk+VkracNZj5zMKf49bQBRpYlycleT2eR06qNcFmS9bRxOwwb7OTUAMX5zutuHxQMMI8/PAADkuT08Uno0wvVEkF7OR2F7hmB9RRK78rIAfm8O/evT/vPMxfpIJ8fks5BjsVMteF//scY3mPHjPXt1w8+/BAGDID6eli1CtasgT/9CXr0gO3bU/+i3r3NnOFDh0xl4uqr/c9pbX7fmjXgvkM+L+9cP1XhAqKzdJAFw9l0kNt1gwyw+XATyxobmDf4EvacOMbyA3u4dvBwdhw7zOqmD7l+SBmbDh9kw0cHuL6ojDWH9rP16CGuLypjxcG97Dp+hOuLyli2v4H9J49z7eDhvLZvJ4fDzcwdfAkv7dnOyWiE2QWlPL97GxrNjLyhLG3YQrdQGlPyinmyfhOZ6d2YMLCIx3ZsILd7L8bk5vPYjg3k98pkVPZAHtm+gaF9LuLS/rk8sn0DZf2yGd43i0d3bGDERbkU97mIx3ZsoCprIHm9+vBE/SauzskjO6MnS3Zu4poBhfTp2o2luzYzYWARGWldeLZhC1MHFaMUvLB7GzX5JbS0Rvnz3h3MKijlaKSFv+zbSW3hJRxs/jghp+uKyth+9KOEnOYPKeP9pjPPqbk1yqz8kjZz6puewecGFPJ4/UYvp0d3bKDgFDk9sn0Dl/W/mCF9+p12ThMHFtHtDHM60HyCtxp3n3FO84eUsfzA2eWUkdaFyYOGfOKcLumbxaNxOY3KHsSgnr3PKCeAP+3pPDk9t3srCsX0vOJOk9O0vGK0PnVOF2W0PT4oGbJBPj8ENsjhMLz66pm/0S2eW2819YhJk6Clxbxxs0uXs71UQfCQDXLnolNvkAVBEC4kZIPcDpw4AcuWQVMTNDfDkCF83LUrvPsuPX72s+DXVlVBbq6pMezZAy+8YOYGuwwcaDa+X/0qXHKJmTGckWEssyC0M7JB7lyczQZZ/uosCIIgnD9aWszkhi1bzJvTUtAj/gNVVTBmDNx2W3C6w49+1C6XKQifFK01SiaQdDhnIoCTIRtkQRAEITXbtpnRZX37wkUXmbncWVnwu9+Zz2dnm49rDZs3w6BBMHiwMcGxmDkEIxQyP2fVKjNlJBk33QTz5sHrr0N6Or/+7W9h5Ehuvece782ZgtDZycjIoKmpif79+8smuQPRWtPU1ERGRsYn/hmyQRYEQRBSs3Kl2dgmo18/U2/IyICGBrMZjsXgzTf9r3FOyPIYNMhUI770JfjmN00domtX//OXmgNmHl68GDZu5FbZHAufIvLy8ti9ezcH7NqP0CFkZGSQdxZvqpUNsiAIgpCaBQvMIRbRqBlZprXZGKenp+71RqNmqkRenn8Yxuc+B716me8ThAuUrl27UlRU1NGXIZwDZIMsCIIgtE0oZDa2w4ad3td36eKPQ3NnDQuCIHyKaNeDQgRBEARBEATh04ZskAVBEARBEATB4ozmICulDgA72+9yBEEQOj2FWuvsjr6IT8JZ/BmeBRw8x5fTWZHneuHxWXme8Nl5rmfzPE/rz/Az2iALgiAInz2UUis+rYejnCnyXC88PivPEz47z/V8PE+pWAiCIAiCIAiChWyQBUEQBEEQBMFCNsiCIAjCqfhNR1/AeUSe64XHZ+V5wmfnubb785QOsiAIgiAIgiBYiEEWBEEQBEEQBAvZIAuCIAiCIAiChWyQBUEQhJQopaYrpT5QSm1VSn27o6+nvVBK5SulXlFKbVBKrVdKfaOjr6k9UUqlKaXeU0ot7ehraU+UUn2VUo8qpTYppTYqpa7u6GtqD5RS/9dZt+uUUg8qpTI6+prOFUqp+5VSjUqpddbHLlJKvaiU2uL8s9+5/r2yQRYEQRCSopRKA34FzADKgDqlVFnHXlW7EQW+pbUuA64CvnYBP1eAbwAbO/oizgM/B57XWl8CXMoF+JyVUoOArwNVWusKIA1Y1LFXdU55AJge97FvAy9rrUuAl51/P6fIBlkQBEFIxWhgq9Z6u9Y6DPwRqO3ga2oXtNb7tNarnMfHMBupQR17Ve2DUioPmAn8tqOvpT1RSmUC1wC/A9Bah7XWhzv2qtqNLkB3pVQXoAewt4Ov55yhtf4LcCjuw7XAfzmP/wuYe65/r2yQBUEQhFQMAhqsf9/NBbpptFFKDQYuB97p2CtpN34G/AMQ6+gLaWeKgAPA7506yW+VUj07+qLONVrrPcBdwC5gH3BEa/2njr2qdidXa73PefwhkHuuf4FskAVBEATBQSnVC3gMuE1rfbSjr+dco5SaBTRqrVd29LWcB7oAVwD3aq0vB07QDrfiOxqnf1uL+QvBQKCnUurzHXtV5w9t5hWf85nFskEWBEEQUrEHyLf+Pc/52AWJUqorZnP8B6314x19Pe3EWGCOUqoeU5mZqJT63469pHZjN7Bba+3eCXgUs2G+0JgM7NBaH9BaR4DHgTEdfE3tzX6l1AAA55+N5/oXyAZZEARBSMVyoEQpVaSUSse88eepDr6mdkEppTBd1Y1a65929PW0F1rr72it87TWgzH/f/5Za31B2kat9YdAg1JqmPOhScCGDryk9mIXcJVSqoezjidxAb4ZMY6ngJucxzcBS871L+hyrn+gIAiCcGGgtY4qpf4P8ALmnfH3a63Xd/BltRdjgS8Aa5VSq52P/ZPW+tkOvCbh7Pk74A/OX/C2A1/s4Os552it31FKPQqswkxjeY8L6MhppdSDwHggSym1G/gBcAfwsFLqy8BOYME5/71y1LQgCIIgCIIg+EjFQhAEQRAEQRAsZIMsCIIgCIIgCBayQRYEQRAEQRAEC9kgC4IgCIIgCIKFbJAFQRAEQRAEwUI2yIIgCIIgCIJgIRtkQRAEQRAEQbCQDbIgCIIgCO2OUipPKbWwo69DEE4H2SALgiAIgnA+mARc0dEXIQing5ykJwiCIAhCu6KUqgaWAIeBY8C1WuvtHXtVgpAa2SALgiAIgtDuKKWeB/6f1npdR1+LIJwKqVgIgiAIgnA+GAZs6uiLEITTQTbIgiAIgiC0K0qpLOCI1jra0dciCKeDbJAFQRAEQWhvBgN7O/oiBOF0kQ2yIAiCIAjtzSYgSym1Tik1pqMvRhBOhbxJTxAEQRAEQRAsxCALgiAIgiAIgoVskAVBEARBEATBQjbIgiAIgiAIgmAhG2RBEARBEARBsJANsiAIgiAIgiBYyAZZEARBEARBECxkgywIgiAIgiAIFv8fDPFIiMLyAXUAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim.display(1, node_size = 4); #display time 6\n", "#plt.savefig('SIS_2dgrid.png')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T08:23:04.240706Z", "start_time": "2019-03-25T08:23:02.182581Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim.display(2, node_size = 4);" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T08:23:18.153956Z", "start_time": "2019-03-25T08:23:16.011104Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim.display(3, node_size = 4);" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T08:24:50.969137Z", "start_time": "2019-03-25T08:24:48.873458Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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4tNbwiVl8WjZ5mnjc50dp4fjwPrW0YjT1Sc5TQUoa0uKlT5m5hk8zLD6Nd/Sphvo0bxGi4mIBDptP1YZPO6vqzeuO+PRQ/VpoXi+gMTFbFp804VN1nXEN3lNZZRC45EHmzcPQxIHG8eAEk+ANihdL4U+fOIQV//cjTPvpHiz/7ffx/Lnj4gUBjrjoaHkcQKxXNk74A4jWxAJZrDfKyL/GR0fDq2l457XX8fJvn8Obb76Jd955B8899xyysrJCPsOUbh0VDU3F34yfhcCmR9By19+Bb96F4KZH0HTnJ/D2yntwe04BAGDP/jdDbo6zBwyy/PmNi2ew/sWfIef7/4RpP30cCd9+DLf9/FtY8sz3sOK3P8CGF3+GET/4Z6R+58sY/cN/xe43XkCn33/DflYlJaUPrxtIkF3I6JkLgp7FRAPHzwLDwpFRL/DBcZMgH2gE8rMAzSNIVkEOACZJVq4gS4cJGbWTLDsZ7fYB5y5JMuqTZNRGkH1+4KokyP6AIHcG8esW5C4YFM/pxI9D0LZeE7/LwGCdIJ8HkgZ/CJ+yxfc9QAjy/qPAGJ346T4FgKOnwvtkIcjEp24fcOWqoJFuPgWCQFdvfHIhyJeagYE9+BSOjOo+HTpuI6NZ0qdGGxnNNX0qyBXn3XgqlLT7fOIcHAlyDz5RghzOJyAC0h4ryKvFJ0qQz8uVm2hx7sOSwvtkn6e8LPG9QnwaIc7x0HF3gjwyC09PipwgP32mEY/t/T06AwHjsyXW48HDE+diaWaeeJ2mAeBihiIgyP/3q6fxqx/8CC/+JnyeVRHkvz4FgiIf/8r5k5iRmgkGax797Utn8f6Vi3j70lkcvXoFiVHROCAbOXRNSkrDgeZLaPf7Qr4+A3BizYPISBD/KAxyjv1XLuLls8dRkT3KeFxJSclZtwRBHhITiziPN4SMLpk01SBZK2fOQYx8fM18QkYXUzJaJckosLOaEL/aVdCiowEGPNQgiZ/GxLHHC3g0PGAjo5pO/JZLMqpp2LhEEj+Px0ZG55oEebIko4EA5hdNEMfd3ZiZP0Yct3dgQmaOQfwKktMM4pc7SBJkQvzGZ+RgaFyCJKOjTOJn+BS0ED/q09r5ZQbxs/pU7eKTJH7MRpAb1knSrgkvPR7A48HOlQ4EWdOwUZJ2aMzq00zpE4BlJVOlT0EsMHzyYWae9KmjExMysk2fCGnPcfBpQkaOSdrzCwgZNX1aRn2aRXwqNX26u9xGRnWfLARZnyeGB+ukTxpdkdBMguzxYCch7Vt1n7weQtqtPq2cRXzSCXIgiPkGQe7GjPwCZ58cSHtB8jDiUzaGWlYkxPH84vGWeYoj8xQdK1ckShe5kHbTp/uqbSsSMdKn+jXEJ0mQNeGTft3tqK41faqQPsFOkE1qPGSAlSB/Y99rlptjAOgMBPCNfa8BnCMuSifIQcR65a9VhCXIHswonYfzp09j9OjR2LZtG1588UUoKQGAR9OgMYZZw7KgMRaSOZ6QlIZVecX4wrQy/GBhLfbMvR2/X74BfPMu4783V25F24aH0b7hYfxPWR2Kh6Qa7+cAMp/6Gtie3Uj49mPwPP4oiv7nG9j68i+R+dTXEPutzyH1O182+qKVlJT6R9edIGc99VX4OQ9DRnvI1kZFAUf0LGQYMrr/qCBWNFsb5D2SLPj8wOlIyGiLyLOGJaN6ZjQoXhcTHSHxi5AgJw8JzWqHZGuHi6/jSNo1YH9jKGmnZDQS0h7Op6aWUNJuJ6Odela7t2SU+BSOIOs+9YWM2kk7YF2RMLLaLqTdTpAjIe0tbeIacM0gR0Da2zqA2JheZLXpioSDT/p11xNB1q87MOHZmBER+dQbgjztl9+G06cUA/Dnqk0kgxw5QQZj0DhHy74P8Pzzz+Ob3/wmvvjFL2L9+vWW76EIstK1Eucc7zVdwMJf/7fR/Uw1PTUDr54/FfL4m9VbMCl5OPzBIDTGoKlfElT6K9eTTz4JACGf15HqpiHICd5oG/HjWDJpipkZnTnbyEKunqcTP5KthSSjMYJkba+uNbKQ9xMy+kD9GpGFlFRLJ8j319oJsqB/WyurJPHTcHe5SfxWU+JHyahOkINBzC+SxM/nMwlyRyfJjLaZZLSpBTmJNIM80CR+BkEejYFx8SGk3U6Q9az2GotPFQbx21JRZVA+CxmtXW2Q0Yca1grPDOInyOj9NZT41YUSP4+GDcSntfPNbC0lo0tLdDIaINlaSkY7MCHL9MmSrTV8SpMZ5CAmZOZgaFx8iE+UjC6bTFck5pqZdkJG1xOfKGnfUeU8Tw+SeTKy2nKedNK+g6xIbK2ohiYJ8obFFQ4Emdnmaarh07wiB5/aOzA+g6xIpJgrEjppL0hJwzB9RYL4NCNvDBKlH/OLzAzyssnTESu9WTlzriTtQaydv8iYJ4Mgg2Nrhblys4OsSNxPCPJDDeuMeXqQ+GRZkaiqs5B2zSDIZq7TkkEmBHlgfAKGxQ1w/HwZFjdAZJB7QZDjogRBBjjio6NRWlqK3bt34+tf/zp+/OMfO34fJaVrIcYYioem4ty6v4V/46fxrbm346FxM/CypM+vrNiEjg1/j3+auRjbCs3/7578v/8Jtmc3op74LDyPP+p4c62k9Nek9evX9/nmuDe6CQhyD9laO8k6dBzISRfHbmT0QCMwJtf8bfrRI0JJ1jHx2/TWDLLMjDplkPV2hkiztZQgX6sMsiMZtZN2N4JsI+1AzwTZ5xdNECOzhU8nz4mvGc6nnrLadtLe62xtH8no0VNARi8I8v4j7mT0w5J2+zzpBDkk094Ln9o6gNho0ezg6pPbdReGIPc4T0dE7pjO0zUmyGEzyFl5zgSZUmMHgtx4+DCiPV7cPm0WAOBTn/oUrly5gq9//euWzzBFkJX6S4FgEI/tfQmPyLpJXSMSB+OPt29EWrzzPxyVlG51Xbx4EQCQnJzcp/ffNAQ53ituEt0yyFVGtjaI1fMJGV1MCHIFJX51xvH9tSQzaiGjZmb0/to1hPiZv02/dbkkWRohyB7NQkaNbC3NIAeDKB07nmSQzczoeCMz2oaC1OEmQZbEbxRtscjIlcQviGkGGQ1iXuE4xDtkkKsJGV1FWizWl9t8kpRve5Utq+1ARh+kPtWskq0DTPrkAbxek/hpGjYsMX1a4+LTUj1bGwyiVM8g+3yYbpDRTkwwWizaMCrJJMjZic5tHyJbG8SM/AIkytys2c4QxFJCRqtnzjXbPuYvIpn2SmeCTMlojenTQ/UOpF3TcB9ZkdhZRbK1+oqEplkzyPPNFYlq4tPiSYS06wS5m/jU1mHxiZL2bNL2MUxv+8jKlSsSQUzPs/qkz9MSy4oE8cmJtINjS6U5Tzuq68S1ZvPpQb3FglkJ8v2EIG+3EOSqHjPI9haLpVn5eHjCbKTHDwADkBaXgEdL5mNpVr4DQZYtFgFKkL0WguzRNHS0tWHXjvtRWFiI8ePHY9++ffjMZz7j+DmmpNQf8mgaPj15Hn6zdB1OrnkQfPMu7JmzHEevXsHw730FBT/6Ojr9fjR3d/b3qSop3VDV1taitrb2un+f/mmxoCTr1Hkg5cNkax3IqIX4ORBkOxmNqJ2BZJBbWgV9s5NRt2xtn9sZepEZjajtQ/cpQuLn8wuqn2fL1roR5BCfHMhob7Pabtna3maQe0uQr0UGOVwritOKRCQtFoGgoKGOpD1KEOTmVjGHdoJ87hIwZGBkPvVIkLNs112EGeRjp4G87F4R5LA9yJw7t1jon2t2mkwyyFGahglJaWE/wxRBVrrZdMfz/4vvHnrH8tiqvGL8+20VGBwT209npaR043TLtFjEal5JRk2StXjSVIP4VVl6kB3IqC1bu726Fh5Jsu6rbSAZZEKyGtaRLORqG0EWZJS2M9gzoxpYSGZ0KWmxKC00yegM2s6QRYifTkYdCXJQtFhIMjotr8AkyEUmGV1i9EULMmqQ9lLi0+IKx7aPbdU1hk8P1K4SxzppdyB+NDNKfdqyvMqSrdUkQV5tIaNzHH2aVziO+ERJe47pE22xSBwMBIMYlZRq+pRpkvYZhIzOK7KRdj1bO4NmkOmKhLNP26vrDJ/uJ6T9gTpC2utcMshV1qy2pmnCp3LdJw9Wl5aZPs2gpF33KWjJak/Pc16RMAhyk06Qg4QgBzE+IxtD4weEkPZ5pBVlyeRpiCEZZMMnQtqNeTKy//qKRK1JkC0rN9YMsk7a769ZZfHJzP6vFD4hTAY5wZpBBgBwiFy19C9BvxGwtVjE6BnkQADRHnsGWXQm6xnkGI8H/SHG2P2MsXcZY+8xxh6Qj/2QMbZX/tfIGNsrH89ljHWQ5/6DfJ0SxthfGGOHGGP/wtQWb38V+s78anTe/feWx35w+F0M+e8vge3ZDbZnN3a/8QJafd39dIZKSreG+okgEzJ6SvaxRppB/uCYoHNRXkGs8nNCs5AH9J3PgmYGORgU5HB0joVkwecT5zDCgSBfaBI0zZ6tpQS5rQMY1AMZdSXIUT1kRntJkA8dF+euk9FcktXusXWA+ESztU5Z7XDZWiefIm2xuNY9yG7Z2sMyx66T0VynTHsYMnot2j4iIe1OPgUkaXdssaAZZL0H+Yr4eo49yD2Q9kM2n3rKIOvZf4tPAeDIh8sgR76TXuQZ5P4iyIyxYgA/ADANQDeAZwDcwzk/RF7zFQDNnPNHGWO5AH7JOS92+Fp/BnAfgFcB/BrAv3DOnw73/RVBvvX0+oXTmPrTPY7PZSUMxI8X1aMkOR1NXR0YGhOntspW+sjrliHIcYQgJxCCHGdkkGcbZHQV2UnvrkXLSBbSRvz0blZLi8U6QpD1Hb003Fe7RnazMmwn/b4igyyI33qdjBoEGQBjqCY9yEtLpovHg0HMI9naGfnOZJRmkLMHhpLRcUaLhSTIOvEj/b4W0j5jjpUgSzK6flEFvLExgrSTbC316YHa1YIE2rLalLTfX7va9Im2WFSuMDLI68tNnyhBXkmytUsmk2xtsfSpy2cho+OMvug2jEpKNQnyoCHCp+RhGCZpqPApPiRbSwnyEtJi4Uba71rkTkYNn2pWE9K+zsWnVUYGeXt1rUFG76mssvhktqKUmfNESPsSktWeR1pRLAQ505ynUWRFInvgkFCCnJlrnSd5XFo8AfGx+oqEPdMeY7Z9WEi7mKety0kGucrWYqFfdy4rEqZPGrZV1xg+bdZ9ApDUK4LMnQlywI0gB2UGmSPGyCALguyRN9PR/UOQxwJ4lXPezjn3A3gRwEr9SUmB6wF8P9wXYYwNBzCQc/4KF5TjvwFUXb/TVrpZNSUlHXzzLly+8+M4ueZBbB4z2XjuRFsLpv30cXgefxTJ3/kytMcfBduzG29fOovEJ7+ABb/8L6x89ofY13QBfj3mpqSkBOBmIch6BjkcQTZ6kI8BIzIlyToqKLBBRkeQHeJGClpEM8hHTtoIcpY4NtoZbJlRnSDb+30jySD3lSC7kVELaY+E+FGfGsO0Mzj4FNL2kQn4Ar3ri/b7RRb2w5L2/sogO61IBINhsrWStPskQe6p7UPPIPv9QDPpQW4lPrkR5GuVQe6p7cO+IuG4g+URkv1vjMCna5xB/ugR5LEAfgZgJoAOAL8D8DrnfKd8fi6Ar+pfXxLk9wAcBNAC4FOc85cYY1MAfJFzXiZfNwfAJzjnlQ7fcwuALQCQnZ1dcuzYsb6cutJHTP5gEGnf/Udc6uqI+D3rR0/Ev99Wgfhvfx5/N3E2ioekoip3DJq7OzE8PrHnL6CkdAP0wx/+EADQ0NDQp/ffNAQ51kMIsiRZ5RPNHuQVM2cbJGtV6UKTjJJ2hs0VVZYeZDODvMogo0YGGUxQLb11oMbMjG5fSXqQdYIsM8ga02w76TFUzZwj8sgQ/b46QS4tmiCObcTPzCC3Y3RIi4UkfvGEIEtKammxKBpn+GQhyLOcCfJd5ZQgm1ntbVVWn7Qo8dv9D4QQZJkZJdnabdW1RtvHlsoVMo9sI8ilZUZWu5r4ZJBRfwDziyeaPlHSTlssSF+0SdopGTWz2tNJVru0eDzxaYqlFcWcJ5OMrl9caZJRS1bbxSeSaafzRH3aXm1ma7dUVskVCU2uSAj/aK929Yw5pMViquGT0WLRZfcpO7TF4kqLkUEelZQ7I+5jAAAgAElEQVSK1Hg9g2y2fUynGWSyIrGkZJr7ioQlg6z7VE18sma1PXIHyweMtg8ND9avI9cdabGwzJNJkCNpseiRIAcjI8h67lj0IPcfQeacvw/gSwB+CxGv2AuAbhO4GlZ6fAZANud8EoCHADzFGOvVXsSc8//knE/hnE9JSUn5UOev9NGRV9Nw8c6P49Sah/DDBbXgm3fBv/HTeGzqAuM1/zWvChVZo4w/P3lwL+K+/XlwAF/Y+zLWPv8TJHz7MaR/76tge3aj5tkf4cUzjXj9wmn82WFTEyWlG6GGhoY+3xz3Rv3Ug9wLguxE/HIzgKhIe2tptvYEMMpGkH1+M4Pc7QfOXhDUzOePjCC3tQODEt0JsltmNKIMsr3tYzAQHWmLhY0gGxnkRtIX3UPbByXIFtIuyWhWmvg5nTLIfpmt1XuQeyLIEWdr+0hGjQyyV/hkzyB7vaKtIi9LfC99nhgD3j8KjI2EjNpWJHTSbvfJTtpbHFosgkGgo4cMcle3+HnC+RQug5w02GyPcfTpJJATYQ8yg5gtmkE2fDoprjtfADgufHp60hLVYiG+1mMATnLOv8EY8wI4BaCEc37S5fUvAPhb+brnOedj5OOrAZRyzreG+34qg6wEAEHOQ3bkO9feirTvfQUAkBwbj4ud7T1+nQN1OzB6cNJ1OUclJTedOHECAJCVldWn9980BFnvQZ5Dfpu+nPQgr5g5GzE68Zu3kJDRZQbJ2ryMEL+qWnhinYifmRkVxE9kIQVBlv2+VaQHubJaklEP1i+uNIjfqvnl4oODMVTPMsno4slThVkBe7/vGPGazk6My8gOJaNXTDKaT4hfcXqWjSALP+baM8g6GZ1ltn000AwyIchWn0zid18NJe1rnH2ykNFa4lOVA2nXsKq0zPCpaiYho7pPftLO4PNhWv7o0GxtaztGJYf6NCp5mOHTuIxsDDGytaONHeLm0laUybRX2+z3XUUzyMaKBLDZTtpjYwAmyWiMJKMNa6B5owAw3L9qrTMZXWH6tLnCXJG4SyftjEmftBDSXm4QZPGzMADo9mFanvSp3TpP+aTFIsvwKc1C2p18mlc0HvFybhaTHuSqGXOET5wLnyzzJHzaSttj6IpEjQNph3UHS4tPVfXGtbZ5ubzuYM8g90CQAQzoU4sFR6yNIOsZ5Jk5eegPMcZS5f9mQ+SPn5JPlQHYT2+OGWMpjDGPPB4JYBSAI5zzMwBaGGMzZG75TojohpJSj3LarnpY/ADwzbvAN+/ChTs+ZhDn4KZH4N/4afxm6bqQ9xT8v6+D7dmNi53tePBPz4Dt2Y0jLU034kdQ+ivWHXfcgTvuuOO6f5/rSpDPtbciS88gu/X7WghyGOLnmIXUM8geh8yoJKMfHBOPR5JB9vmBM5QgXwYyhonjS81AmgNBbm0XlDcQBDo7gYT4D0dGe+pBdiV+sp3B8OmYIO1eL3DQ1vYxOldQtP2UjB4L0/aRJejfKTefSNuHxSfSztDmkq3ts08uZPTUOSBlqHic+kT7fQ8fl2RU90mS9oMk0/7+UUFDYfNJnye6IkHIaFiCbFmRaAaGJYdvRenJJ0qQ2ztk24eeQXZosaCkXb/u7D65zdPBY/K6s83T+0d68Eled7pPJ07LFosICbI/AER5MfTp3yDjG99E9Pnz6B6WilP3bMHlZUs+FEGeO2IU2lvDb9t7PQgyY+wlAEkAfAAe4pz/Tj7+JIBXOOe0yq0GwKPytUEAuzjnv5DPTQHwJIA4AE8D2Ml7+EBXBFnpWmnXG8/j0Td/H/Y1x1Y/gOwBg8K+Rkmpt7olWiwGx8QiTmaQ55Ad4iwEeZaZQW4gLRZ3WohftUtmdLVB/O6nmdF6ZzK6jRDkLXofq6bhrsWU+C0iZFRvZwhiyZRpgv7JFgsNDPD5MX2UTpC7MJ5kkN3IqE78ijOySQ+ymUGeWzTOIH7CJ3G8YsZsg/hRgnznIknawQUZ1VssquoNMhpC/KIpQaZZbbPFwto6IDPIS4hP84lPOmnnQSwuoT6Rdob8AsOnYhfSnuVA2scRMjp1pEna5xVNsPlECLIk6pZWlHLqU7WZaa+qEysSjM4Ts2S1LT7VEp/0fl+vB1sqXQjyPJMgV5EVifLJ0yytKGKefJim+0TbPq62O65IjEpJQ6pchShON0n71PzRSDQy7XafaP+47hMl7RWGT5ZWFH0HS/s8WXwiGeTaVbIVRZPXnSTIFVVGD7I7QTa30B2YkIChz/wWOV/4EmLOnQPjHDFnzyH3i1/G0Gd+G4YgBw2CbMkgkxaL/hLnfA7nvJBzPkG/OZaPr6c3x/KxH3POizjnEznnk/WbY/nc65zzYs55Hud8R083x0pK11K7S+aDb96FMYPN7X6H27a/zvn+P4Ht2Y3Pv/V7nGprudGnqKT0oXTdCXKmnkHuqbfWTkZDiJ9TZlSSLI8kWU4tFpT4uZLRsyKv2623MzgRP5cMsoUgXwMy6prVdiGjrtlamkEO1/ZBM8i5Zr9vXwgy9Slci0VP/b5hyahTBvkiMGSQtcWiJ4JMSTv1yYmM9nVFwp7VtvRqX3EmyNezB5n6pLei6Cs3acnhfTp4DBgpfdp/VGSQw80T9UnPIBOfekOQx9XUI+bsuZDPl660YfjLz34cGUHWj28CgtyfUgRZ6XrraEsTOIBJP/kmWnxdlucCmx5xjHcoKfVGtwxB1jPIlIwumljSIxmlxG8TyUJuW1FLSNZqeKKiAA7cX7/GbLGotxM/cby9ut7M1upZSK+G9eVmBnn1fOfM6JLJDgS520cIsgvxa75qkNG8oSlmiwUloyQzOqfQTpB10m4Sv4a5bqSd+mRmkHfW2Mgobfvw0qy2l+ykJ0k79Yn0RQuCrIW0fRgEOWD1aVr+aMOn8dSn5FRHMmq2fdiytaSdwViRmDyNzNMcRMfEhGRr6TxZerX1rDYn8wTgfjtB1n2qW+O4IrGZZLXvWryMtFiY87Ri5hxxwfGgJMhMXhsmQZ6aZ2a1LRnkpNSwpN2SQR5pEuS5RRNIVnu6lSDL6271/HLTp8XLnAlydb3pU+0a53mKYOXGWJFA5AQ5+tx5x8+X6HPnQwmyx4Uge0IzyEpKStdeIwYOwciBQ9C8/u9wZu3fWJ7zPP4o/nL5HNY9/xP887uvoKmrA5xz/Ou7r6LsV/+N8x3h/8GqpHQjdeMyyD21WPRERt2ytZSM6tnaEOKXG4aM2lssekmQI2qx4ILs9bq31kZGe8ogHzkOZLmQUSeCTNsZnEh7n7K1kRDkHrLabgTZtcUiAp8MMuowTxGT9qBYwdCztYd7mief2Rdtz7TTtg/dJ3sPMm376LHFol32RXuA5qvCX3tWO5IMst0nfUXioJ2006y2Q/bfyLSTDHJfCHIggHErFUG+VlIEWak/1ObrxoAnvxDRa59ZshaLs/Kv8xkpfZT1i1+IpNny5cv79P6bhiDHyp305owtNlssJppk9PYZsw3iV08zyItMMrqpwtbOIAnyTtrO0LDOzNZaSNYqg4xuM7K1mvnb9F4P7qTtDPPNdoYVM2cTgjzVIYMsMqOC+HVZ2xlS9N7aq8iSO5/lJw8jmdEsZ4I8lma1TTJ6OyXtpO2DZpA3LSNZ7RU2MurQF30/ydbuJKTdzIxq2LyckNFySUY1zZrVnjXb0s6ggRntDHpWm/o0LjNXDF6rIO0aYCHt+SlppMXCRtpjzbYPJ59W2NsZLNlaQtodCPLOlS6k3ZgnD1mRsM7TpooqY57uIr3aDaV0nvSsNrf4NEf3qcuHqfmUIOcIb662I29oitEXbfhE2z4yc4lPZg/ynELnFgtX0r64wqXtw8xq77RntWX2/37aYkHm6d4q6lO1mUEeaBLkIW4EOS4Bp7bdg4D8+9IVjI3FqW33RJ5BVgRZSanflBAVjcCmRzB7WHaPr13yzPfA9uxGp9+PVl/3DTg7pY+ali9f3ueb497oBmaQ3UhWpK0DhGSNdMiM0j7W948CY21ZSLcMsj8AnJQZZLcWi24fcLklghaLXhDkSNoZwvmUliyOwxE/mhkdRbK1er/vfrtPuVbSTgmysUNcGJ98fnH+acmCAl5pFTnXvpB2j7ihsvgUERklPh0/K/7OIp0nu086GdXbGXhQvP7DzpNPzpMjae9Fr7ZbDzJdkbh4RRDpiH06Kc6xpwxyRD7luq7c3PAWC/1YEWRFkJVuWn3mjRew+80XLY89PHE2Pj91YT+dkdLNqAMHDgAACgoK+vT+m4IgD4qORbw3KoRklU+eaiWjTgTZkkFeYSVZBvFbZc2MWsio15ZBZti2kvbWUjJaYRwLMqpna+eS1oGpJDNqJaN6O4ORGW1tN3trr7QgK1HPIJMe5MwcDJY50akjCUEusvsUSvzq5y1ElDy+s3ypSdrtxE/6tKOG+rTGIO0P6p4ZBFlQ0nspQa40yeid5ZWOGWQLGZ1MCHIx8SnP2SdBkBnQ3IJM6VP+0FSkJgwwfHIio3NJO8MisuMgnaeG+aTtg84T8elevd+XSzJKfdLJaIPMHTMNO2vMebqX9EVvIhnkO8mOgw0kg3y74ROZJ3/AMk9TiU/FlhUJ0ycrQR5gZNr1eaJZ7bnFZJ7IjoMrZpnzZGlFIS0WlLTfS7Patat69GlHzSoyT6ZPGytW9I4gJ4ge5MtLynH0mV/ijVdfxl9++j/oul3Sg7AEWVBjN4L8xsnGXn2eKSkpXV99pqQUvo2ftjz22N6X8Y/v/BHN3Z39dFZKN5u2bt2KrVvD7ol0TXQTEGTy2/SRtA64kayQft8Rghy5kazGUyJH2VsyGi6D3NEJDHDK1koyasnWuuykF46MJg/pXeuA3ltLM6MhGeQefHIio+GytU4+BSRpN8ioWwZZ90mS9g9NkM8Aw1NspL0Hn1zJaG8y7XSeaKY9knnqYw9yCEF2aLE4e1Hs2OfkkzFPOkHuYUWCZpBdVyQkaXfYwbK3BDminfTcqLELQb4ZdtK70VIEWemjIH8wiCMtTXj+zFHc8/KvLM+dW/e3SImNB1NtGH+1uiVaLAZFxyJOEuTZhCAvmkyI30wzW1tPsrV3lC+1tljoJKuaED9CRu+rXwOPJKOCZHkF8atdJRsIPLi3uk7+Zr2GTctX2sioFkL8VswwyejikukOBNmHaXQnvaxccSwJsiB+JIOcQjLIGVkG8ZsycpRB/GZb2hmoT3NIBrmsZ5/IDnH31ZpZbdr24eaTtXVghfDJ6PcV2dp6RzLKbe0M0qduSkY7ZQZZ+JTnQNpHJqX0SJDnkJ30ykm29nZK2kvLCGlf5j5PNNOuk9F6GxnVSXsN8YnOUwUl7RXmPJFWlNvJPC1y8km2WNBWFGOeUoYR0j4oNNMe0ooiWyzsPsl5WjHTRpCNlZtK6ROwuXKF0YRyr31FQp+nBtt159VXblYZpP2eFeY8baI9yJEQ5N7spBd0IcgeZ4IsnldSUrrZ5NU0jB6chK1jp2BN3jjLc8O++4/QHn8Ucd/6PI63NkPVfytdL/VPi4UbGY2k3zdSMjpGklG3DLJOkCPKjJLWAZ/MjPY1W+uUQe4TGU0WlO2aZpDDZGsjIu0kW+ua1Q4And3hferqFn+/IQSZZGt7Q9qj5Dy5tjO4EGTDpyOy7SNCn06eE967EmR7BpnuONiLebL4RFssCEEOl0F2XJGwEeRISHtBrrjuDjSGb48hmfZfTVyM1PTh4pxvUoLMOcf+/fsVQVZSugl0uu0qtv3hV/jZsQMhz/3p9o2YMSzT+LM/KFbaOgN+JHijFG2+xXTLEGS9xWL22GLESXpVRrKQywlBriMZ5DvKbC0Wkl5RMkp/m/7+ujXwGP2+a6BFEeJnySCLG9RNy6ttmVGdIDtnaxfTDHLxOIfMqJX4mZnRq8hMFAR55NAUI4NclGHufDYlr4D0IJvEbxHpQV5OsrV1pQsRFSN9Im0fGytWGD7dQ7K1O2yZUZP40Qyy6ZPIjAqfaAb5DqPFIoJsrS2rPdXIanejODPbgYyapD0vmWaQs20tFrEhpJ36ZCHt8xcJ0g6OOxbZstr6PFXXWnaIowRZ9+k+kmm3+FRdayXIHlsrisZQX7rQ8Gk59WnSFKMvek5hseHTFFsGmZJ2gyDTVpQEPYOca65I5I0yCPKcIitBjjFWJOZa+8djaQaZ+ORA2u8jWe376ldLnzSTumsadtSuNlduqqRPXg2bKlZA83hwqKMFcTBvXilBHmQhyPHGMSXI8REQ5KieCLLmTpA557h06ZIg7kpKSv2u9IRE/LR8FfjmXXhrpTV/OvPnT4Dt2W38F/XEZxH1xGeR+OQXoD3+KH5/5hgOXLnYT2eu9FHVjSPIrjt60XaGM2J3sagooDFCkuXUx6oTP86BA8fEjmgBmYUcnRuaQT6pk1Fbtvb8ZSBzWGgPMiXIvSGjru0MH5KMZqYKPw6dkLsMhiHtFp/CZGtH5Yif6dgp0Q3sDwjC7+STW4tFswtB7ugSWe1AULyuLwSZktGesrVRkoxmDTN9yrHPk0cQ0N765JTV7smnbp9YkXDKIPfYihIQ5xTOpytXhb8hLRa2685pno6eFDMf5eDTyEzx9SOeJ3fSPoR78Jns8TKKBPFz6ZEHy3FQfB9AfC0ZzwDnggTbj3sSea1H05CZMND1pbGxscjMzESU/MeALkWQlZRuDnX4fYj/9mO9ft+/3bYM2//wayzNysfctBwcbrmMbYVTMSl5+HU4S6Vrreeeew4AUFZW1qf33zQEOUbzSIJsEr+FE6cYWcjK6bMRLelVvZ6thY2MVq4wcpH3EIK8g2Rr76uXBJn2sTIN99XZMsiSjG5cTojfkgpoHr231iR+t+v9vgxYNMkko3OKCEEeZZLRIkpGSQaZEuQUmRktysw2iF9J3iiDIM8mO+mVTZpqEL/lpN+3rtT0ad2ipfDGxAAc2LRcJ8gc91TVENJOfGqgPq22klHqk5f21grP7ly8zPCJklGaQV6kE+SA2BXQyNZaCLIko22iL9r0Sc8gpxo+FWdkEzI6GgN0gkzIaBltRZk5x5wn4tMdi5eZPhEyavrELCsSlnnSs9qahh12n/QViUpzReIO4lND6SLxOPUJwKKSaaLpIkh6kC2kvQvFGU6kvdUkyCnDkBKfQHySpD2/wNEnQdodMu2lhLQvli0WHNhoJ8gyj7zdMk9rHX2ipH3rCrJyUymuuyb48Xocx/K3n8XSN36Nb7WeRsU7z2Lp67/Gv7ecQMXbz2Lpa7/CVy4fFsd//iUeO39QHL/yC3z69Lvi+I8/w8dO7BXHL/0E2w//WRz/34+w6YM/Yelbz2Dnkddwx/6XsPStZ/CxE29j1b4XsfStZ/Dpk+9g7Nixrv+NGDEi5OZYSUnp5lGcNwp88y50bPh73JE/Hl6mYcPoiTi15iHwzbtw+c6PO75v+x9+DQB4+sQhfPK13+HxA29h8v/+J/Y1XbiRp6/UR5WVlfX55rg36qcWC0n8oiJpHXAjyE7ELxcAC0+QR+UKQuVGkM9cEPnUcK0DzVcFfbseZPRSMzDQJavtREZptjYc8etttlYnyIZPtqz22d62fejtDL31yZ6t7SVB1ufpiI0g59qy2k5kVM/W7m/sOdPumkGWPvnlioTTTnqWvmiHHQcj8am1HYijO+nF9ZxB7om0O2XaQ+bpMDBmpLjgQ+Yp17oiofuUnxV+5eaatH0Q0t4p2z5s193wuAE4vc66FW4kUgRZSemjpx8efher/u/Hxp9LkofjUmcHGluvOL5+3NBUHLhyCd1B8VmSO2Awjqy6T+WZbwLt3bsXADBx4sQ+vf+mIch6i8VthCCXTZqK2BhJkGeYBLmO9PuuJZlRSpC3GgSZORDkKONYJ8g7KEGuqjfJ6PJqa2ZUk2SU9Pveru+kp5NRnfjpO+n5CfHrImS0vQMjk1JNMiqJHyWjRRlZGBxrZkZ14ndbYTHiZVPDoslmVlv4RHqQdYJcbpL2u+2kXRK/HTUNoZlRxnBfvZmt3VHTYLYOVNUaPm2srDLyo6ZPGurnkWztDGefjJ30/H5MGTnKJKNZJkF29UnPIGfkGGR0CiXtReMMn8pI28dy4lPdvAXGPK0jBHljpZnVvncFJaMNxjztNDLImpgtmWnfTn0iZHSjzNbC68E6suNgne4TaAaZo4xmkPUVCb8fU/J0nzotpH1ksvTpylVk6L3aySZBLsqkPo3GgFgzgxxH2mNiHHyi83TH4griU1Voph3ATss8maTduO40hh21DcZ1t1WfJ6+GuyttPsnrro6sSFSSeSqbPMWYp9mF5spNSV6+OO7oRFFGlkNWu9X0KYXMU6ZJ2rMHmC0aSkpKt7Ya8orBN+9Cy11/h3212/B69RYcXX0/+OZd4Jt3hbz+L5fPGzfHANDYegXa44/CHwyq5ox+1gMPPIAHHnjgun+ffsogh8nWUoKsZ2sjIlmyt5ZBHo80+33H5Aqqdfi4mUG2Z2t14nf6vEmQ9QyyzyfIbm+ytT6/IFWBAMAhzr0v7QxDB5qk3a11IDNNvDfEpwzpU2OEZFT3yaXtg/pEWyxoVvtyBD7RrHZ3H33qbTvDkXDZWuKTIxkN04piJ6PhMsiWTHuzyNtfqwyyhSD3scXCnkG2r9z0ep7CkXayIuGPoD2m16Td7pNHHCuCrAiyklIYne9ow9aXfomfHttvPPabpeuw+OnvGn/eUTgVOYmD8UDxDHi168oZlRx0C7VYeAz649RiUTndbLGo1QlykGZrOe6uuN3I1m6tqrESP0mydtavNlosdjasNYifyEJ6JRklmdEKSZA1DesWE+JXWmZmRvUMMmD2+9qytVPy9d5amq3tQJ6eGW1pReagISHErzA9y0JGTYJs+rRwYolB2mnbR+28hYIUBznWLloGr9xsYaPR9iF9irGRdhAyyjSRRzbIqLNPGyuJT+UuPs00s9plk0gGmfT7TiEZ5CIjW9uBPJ2MuvjkRtpnFznP0/IZpBWl1PRp3WKSaV9uW5GgPhnzRMgo8WmnnSBLMrpRb/vQ58mjk1HTp8qZ5jxR0j67cJw49vvJPHVZyKhBkJtbkTFQJ8gmGS3KyrH5JI5nFxOCPIlm/28z+8dpVructqJUWVckHObpvgZznnYS0r7T0oNskva7DdJOfLLN0/LpJkFeOLHEmKfZRaZPJSNN0l6U6bQi0Yp02Redl5SKlAR9B0sz056lCLKSkpJNqXEJ+N/yBoMs8827UJ6Zh2eWrDVe8/V9r+Fjrz6LqCc+C7ZnN9r9vn48Y6XrpetKkM93tCHje18JzSCfvSh6X6OiRA4x1SlbS1osDh0HcmXu+GCjLTOaI0nWEbMHef9RMwupE+SATrJyTYJsZJB14heQGWRC/DJSTZKlZyGvXAVShth6a8MQZCC0xSKE+DmRUZLVdvPJrXXgQCOQl+lA/I5YM6MGaW8U9E/3qSDXue3DIO0OPvkD4vyH95DV1glyWNIeSvzC+qS3M0TkE52nMNnacPMUlrSfAUZkhSfIlLS7kVF9Z8awZLQXLRZhs9rSpyMngKzh4r0hPkmCvL9R/NzhMsgHj8lO5B4y7ZGuSNh3ZrzqMk9OPnV2A1Gh85Qen4hTax+K+PNM14clyIyx+wFshpiuPZzzf2KMfUY+pv+W0MOc81/L138SwEYAAQD3cc5/Ix9fAuCfAXgAPM45/2JP31sRZCWlvqu5uxM/OvIetrz0y5DnXl6+ASXJ6YjVqyaVrptuCYI8MCrGzCCT3tqFk2kG+TYjC1lLWizWLqLZWkpGTZK1vWY1yYyuNclo/Tp4JA3dXtsgSKBHwz3VdfAQ4ueRWcg7yiuMPtt6svPZ8llzJNWSZFQnfsUkW6vvfNbVbZKs9nZCkNuMLOTIpBST+GWaxG/yyFEYIPO0txEyunDCFMOnCjefCBm9m5DRe6rrXAiy2Tqwk5DRHXWrLT6ZBJn4ZCftRgb5NnHMOcpKnLPaJRbSnm1ktSlpN8noMIP4FWZkGz6V5Jk+zSbZ2oUTpiBGtjNUzqQZZNL2oe84yDk2ENJ+zwq3FQkbGZXztK2uwSDtW6soGaUrEmYrSt0806fKmbOFNwwoI20fs4scsrWdXSjKIisSJFtrkNHkVCQbpN3M1k7JH40EJ9JOMsiV0+k8LRCrNUGOtYsryIpEtXndrZDXHUS+WPdphyWDvNa87uoaSItFjZFpv9uYJ+vKTS3JtIf4JOfpNn3lpttnmafC9GyDIOdR0i6vu/zUYUg2sv/ZGCTnKTMhETdajLFiiBvhaQAmAKhkjOXLp7/GOZ8o/9NvjgsBrAJQBGAJgG8wxjyMMQ+AfwOwFEAhgNXytUpKStdJg6JjsXlMiUGWX6xcbzw3+xffRty3P48v7X0Z/7HvdVzsbMf5jrb+O1mlD63rTpAzn/pqaAbZlSCflSTLa93Ri5KsA40iwxjSOiAzyLTFIhKCTImf3yGDbCejfkmQe2qxuBYZZJ34RXmBU+f7QJBtPmma8IaSUTtB1rPao8L45POJHeLCkfawGeQu58xoTwS5JzIa5RV/f/ZMu1fOU1aaSUZz0sXjHzi0WGiamTsGbKSdtqKcDCWjPWW1M1LFz3yJkNFe9WoTn1zIqGVnRjefTp0XqyCGT8mANwo4aiPIFp8IQR7lNE+NZg+yxacTof3jlqy2QytKurzuLO0xTjtYurWiuGSQycpNetwAnLrBGWTGWB2AJZzzjfLPnwbQBSAeQCvn/B9tr/8kAHDOvyD//BsAn5FPf4ZzvtjpdW5SBFlJ6dqKc478H/4rjlxtcnz+j7ffjZnDsm7wWd3a+uMf/wgAmDVrVp/ef9MQ5Bi5k96ssWa/78LJUxEjyegySrLmLhD0KhjEmrKlLgS5ThI/jm01DdZsrWyxoMRvR90qV4KsE7+15bYsJG1nkGR00ZRphPiZvbVGZrSL9CC3tSM/1STItJ1BJ36FhGSVjDSztbPGWolfbJxo+LAQ5Llm68Da8jjjS+cAACAASURBVKWhLRZcZmsNn+odSTvNjG4nWe2tK2oNnwzi59GwrpyQ0fm21gFJ2heVEDJKWwfyRzmQdmsGWSfII5NSkSwJsqUvOn+0I2k3+qI5F20fNKsdEw3woPBJJ6O07YMQ5B01thYLSkYNn8wVia1VNcInj2xn0Mg8aS5kVP5CByWjlmwtmadC0oNsaWfQSXuKMxktyRtlEuRCk7SXlUwTpJ1zQdotPsUInwhBvruyimS1awyC7Nj2wTTxewAOKze0B3lDhZnVXlO+FB6PaEWpm2dmkCvIdRdCkHWf8kyCTOdpRFJKaItFMvEpMweD5DxlDnDfJOQ66l0AcxhjSYyxeADLAOj/77mDMfYOY+xbjLEh8rEMACfI+0/Kx9weDxFjbAtj7HXG2OsXLqieVyWlaynGGA6vug+BTY84Pj/r599CULVeXFPNmjWrzzfHvdGNI8j236YfOlCQKUpGj50B0gnxs5NRr1eQTp2M7j8iyJTGwmSQG00yeui4ma09ekpQMNrH6kaQfZL4ORHkXpMsJ4LcS+Jn98mRjDaaZHT/UatPOml/n/RF02ztIdn2EUJGz0ifAu4+0cyoawaZEGSnrLZrBpn4REn7mQuCVDuR0TSyIpGZZq5IREJG6YrEmJEADwIfHI+s7WNEhsjZupHRi02CbocjyH0ko4K0yx7kC03i69GVG699nk6T9piTtgxyOuBxuO70rLbuDUDaPoJmi0XY7P+5UJ/8AZEpzxgmji9fMds+dJ8C0qdBEWaQ3Qhy/2WQNwLYBqANwHsQBPkLAC5CrA98FsBwzvndjLGvA3iFc/5d+d4nADwtv9QSzvkm+fgdAKZzzneE+96KICspXX9d7GzHb04ewqvnT+Ff3/szAKB746cQFWZ7e6XIdQsRZI/R70vbGWJiBMlappPRIEdtqUn81iwimVF7D7Iko/cYfax2kkUyo7VmZnSLTrI8Gu5ebmZr15YvNQhyLe1jnUkyyJbMKMnWUpKVlSMIl42Mpg8QmdERJIMsWix0gmzuEDeLtlhMmiraGWzEr6Z0geHTakJG77b7JInfNqOdgcnMqCTtq5wJ8j1VdQYZ3UBJ++IK4ZmmoZaSdrtPBhl1yCB3daMww/SJtjPoPo1MTjWIX2FGlkH8SshOenSeykqmOfpUZ/T7QpBRSdo3EDK6xUJGV1lJu/Rph0HaPdhWQ+epxpwn24qETt1r5y00WywoGS2ZHpqt9ZF56upGYWY28WmYOG62zpNB2rNMMipIe7wk7YQgT55mXHe0FcXcmREi0y7naUNllSDLtuvO6pNO2mWTjO5Trblys6XaXJHYUEGvO9OnGqMvGlg23fRpIcn+zzIyyH5MNlosujFWb/tos7Z9DB8wyCDISQZpz8EguQqR0Q8ZZADgnD/BOS/hnM8F0ATgIOf8HOc8wDkPAtgDkVEGgFMwCTMAZMrH3B5XUlLqZyXHxmNt/nh8aVqZ8Vj0E5/DJ159FhdULvlD6+GHH8bDDz983b/PjWuxcGodcCKjRgb5lJUgGzufNQIjKUHOAZjMII91yiA3hifIlIzqmdFwGWQ7Gb3aJrplQ8ioT+wA55atDdn5zIEgn7kgiJnXlq119cktqy2JH7NlRt8/ChSSrHZBrtk64OpThFntEILcBgx28qmHFgvXto8mQRDtPp06B6QmWXfScyLtFp8oaSfzNKYXPjlla/2k7cNCRv3WXu0m0ooSCUGOKIPsQpCdMu0WghzBPOk+aQzYR3zSV270THvBCPcVCfvKjSWrfalnn3paufFLguz1iHmL8t4UGWT5/lTO+XnGWDaA3wKYASCOc35GPv8gBA1exRgrAvAUxA1zOoDfARgF4fhBAAshboxfA7CGc/5euO+tCLKS0o1VV8CP2G993vLYqTUPIb2f/oF+K+iWabGIlS0WMwuLzQwyIaMVOskKctSUSuLHgdX6Tnoc2FCxwsggb77dzIxuq10ljhklo8COurWOBHlrVa3RVrFhuQMZdeqtZRoAkUH2MAZwjtuKSIvFqAJBuLq6UZROsrUpaeLxljYzW5tsZmsLM8xsLW2xmFVIstolJvEzsrVBQZB1n2jbxwaS1d5Cdj67t8b0aTsh7TsaKGmvF/TPo2GLi09GBlknyA4+lZVMNXyaXTSeZGtNn8bq2do2SZBDfDKJn8hqx0mf8o1s7SySrTV8CnJUTJ8tu7SDsp0hNINM5ymEtNN50lckGqwrErpPW6tNn+wEWfeppnSBkTuumDEbHppBlisStxGfJueNNnwqzDRJ+wja70syyEmUtBs+kbaP4vGIiyHZ/1gz0274NN+87taW9zRPXM6KXJEgPcg79JUbxnBvDb3uzKw2JchrFpkrNzXzFpB5miN84sDCyVOcfSIE2Ura9XkyfaLzVJRJWiz6J4MMAD9mjO0D8AsA2znnVwD8A2PsL4yxdwDMB/AgAMgb3h8B2AfgGfn6AOfcD2AHgN8AeB/Aj3q6OVZSUrrxivF4Edj0COYNzzEey3jqqzja0oSJP/4PsD27kf3U1xzfe669FRc722/UqSrZ1D8EOVy2lpJRC/GjWUiXbC0lozrJOtAoyLKRhcwRx0YGWZLRkTJbe+q8+F6UZNnbGSIhfj32+7YLwmwnyK6ZUdlbq2dG01MdstoR+LTPRtr1bK3RW2sjftSnk5EQZJmttff7uvrUR9LuSkYj9cmJjB5xJshG24eDT2590Xq29oz0yZ6ttbQzuGTanfqi/QFxTpFmkO2knWa1KUE2fCItFh8cB0Y4zVOjlSAb83QYGJsXunKjt6JY5slvtn34A9ZebbesNu1Bbo0g+2+QdmeCnBGfiJP9kEHuTymCrKTUf+KcQ3v8Udfnf7N0HRZljMSSp7+H3546bHnulRUbMT0183qf4kdCtwRBToyKRqwnCgjoBFlQrQV660CQY+mM2xwJ8ppFSwzit77idnhjBNXaQojfvfY+VkpGZbZ2G2mx2FJVaxybGWRbtnb+QkGvNEKyGMNCO/GzZ5Bp6wDN1ra0Gb21I5JSDZI1lpDRSTrxCwQxi/YgG20fNp/0HQd50EraSWZ0s2MGGRbSvr1ujTUzqhM/PTPq0bBh+QrDpzWLdDLKUFNq+lQx8zaDIC8sMds+jGytTkYN4kcyyCnDDIJMfTJIe2ZOKBl18knOU8UM24qE9GmNzSeTjNYYZNSVtJMM8r21DYZPm6vMTPuGSpdsbelCgyAvm2GS9oWTTdI+q9CcJwsZ1bO17R0YoZPRq21GtpbOk8UnfSe9gDWDvLBkmunTTJO015QuMH0qXwav9Obu5SuMeXK+7mwrN/V05YbM04paS6Y9xCdNQ41+3TGGiulmr/bCyfrKTRCzxhYbWW03guxE2keEEGTh0/D4Adfz409JSUnJIsYY3qvd5vr84qe/C+3xR0NujgFgxs+eQFNXx/U8PSWb+qfFghI/vQfZqZ0hIjLqkhmlWUi6Q1wIGdVJliSjlCCfuyTOwecXxE8nWVdcCHJ7J5CYII59gb4RZEr8XH0imdEjJ0V2s8dsbW5oZlTP1uqkvWCEzNbqBDnoktUmZNSeGb3o5hPJIPdE/Nx8utICDEhw9qkn0n7kRC99OiyocUgGudFG2u0rErZ5Ou3kEyHI4Xq1nbLaNFvr2hft4pMlq+3SYnFEZrWjvDaCfNSWQc6NnCA7rkgQ0k5bUShpt6/c6D4FZPbfyLTrpD0g3t8TQY6NAbyKICspKfWPOOfoCPgR7xXg6uWzxzHnF98Oed1doybgvz542/LYyMQhKBySgp+XrwJj7Iac782mvXv3AgAmTpzYp/ffNAQ5WrZYzBxbZGQhF0zSdz7jWGbPIFuIX4wkyCsMgrzZTrJ04keykNsb5K5wmshC6tR4U3WtsaPXBtJisaackNH5ZSYZnaUTZGBhCckgF48Xx34/JuWZ/b6FWbmCZHV0CeJnI8i5SSlIjk8kBFlkISeNMHtrZ44tjsCnMjOrXb7UIH50hzjq0z2E+DlmkGVm1Mwg1xmebVi+wrGdwSCjNDMK4pNsUPCEZGt9JkHuIMSvpQ3DnUh7epbh0+S80SSDPM7M1k4ye7WtKxJljmTUzSe6IrGd9EVvt7WiWEm7N/w8lZYZZHSZ3hettzNI0j7LQtpHmT6lmysSI1IIQY7EJ0mHLa0oRlY7iIqZtznOk9H2wUX/uEmQ6xxXJLZbViRMgnxPDSHtZCe99ZUrQNtjdIK8ct7C0Kw2g7NPPj8mkaz22PRM6VMnIchtGD5QtqKkpFlI+8A4nSCrX5JRUlK68WKMGTfHADA7LRt88y5cvvPj+ObsSpxe+xD45l14srQKfPMuXLzjY8Zrj1xtwi+PH4T2+KNge3b3x+n3uyZOnNjnm+Pe6AZmkF2In50g96adgfYg75PNFYC13/dAo2y0CAKHjhEyelI0O7iRUX9AnGfmMIdsrUs7g0FGA5L4xURI/OgOcXafBovHT54DhiU5ZEbDkXa3tg/q0whB2iw+uRA/Y4c4SvxsGWRKRptcCLJBRiMg7a5tHy6knbZYGD55rD3IIdnaLPGa9x0yyEBoO8MY6pPcSe/oaZO0Hz9j+uSUQbb3RbutSPQxWxu2B9nNJ6ce5LAE2cGnA0eAMXnWrLZ95catxcKJtIfzybHFwo0gk7YPRZAVQVZS+ojqk39+Dl98+w8hjwc2PSKAwV+JnnvuOQBAWVlZD6901k1DkM0MsiR+gYAgow7EbyVpZ6DZ2rtI68Amkhm9p8b8bfpt9auNPlZLBrl2laRUzJJB3lBZbZLRRSYZXUkyoxUzJcni3EJGZzllaykZbe8ye2tdiN+YjCwM1AnyyFEG8Qv1STy+dKbZOrBynnO2VpB2PYNMs7Umad9Gemu3168R/mka7q1rEDlRjWFTVY3hjZX4EYI8f6HYBU1jqJhxm+HTgklTTJ8spH20OO7yYYxBRjtN0n61jWRGCRnNzHb2aazsQQ4EsWDyVJO0k3aGmnk6QeZYo7d9cGC9JatdY8wW9WlHw2pBkDVNrE5YViQ8MoNcI+fJYyXtRiuKhhq97QNAxcw5FjKqr0jMLBpnWZHQfRqbQbO1KSZpN8joMGef8vKRQLPadJ7iQjPIK+fR7L9J2tdXrrBk2r36ioTFpzWGTzvIjoP3kp30tlSZBPmuCnOezBYLhpWkxWIZIcgLJpvzZPFppLlyM9bIIHdafUocaPRFW7Lasj0mXRFkJSWlj5C+MK0MfPMu8M278JOyeuNxj6TJrb7ufjy7G6fPfe5z+NznPnfdv8/NkUEe5kCyaLY2LPHLNTOjY/PEN37/iDVbO4YS5BFWMkqJn95ioZNRPYPs9wMXroh8dLge5N4QZEKyrJlRWw+y3jqgk/aoKOC4S7b2g+Mi0+mVlC8/W+zaZyd+BkGWnoWQ0WOEIOtk1A8cp60DPZD2cD3I7V1AYqSknWaQCWnvqcXC4pMnzDwdBfKyXVYkZLbWIO2ctFjoBLmHeTp9HsjWSTvJINMViR5bUVx8csnWoqlF+GsnyDSDTOfp2GmxAmD4lCZ3GSTzdID49P4R0d5BM+0AIchOpD03dGdGO2nP7s2KhFNWWxHknqQIspLSraPJP/km3rp01vLYpTs+jqGxcf10RjdGt0yLRTTTgEAAMwqLDJI1f2KJQbKWEuJXPZf0IJPM6F0kg7yJEL+tBkEGtjesJWR0tZGtFVlInfiZO8StrzSJ35rFy+SxzCB75G/Tz9J7axkWkAzyrEKTZE3OLzDJaIZJRo12hlaTIOcOlSQrIIjfoHixfD5Jz4wGAlYyWjI1NIPMuYUgr15kZpDvqlxhHG9yIX6UtG9vMImf1adag4waBNnjwZrFS02f5i00csfLZuoE2ZrVnjnWifj5MDYr28hqGz5dpcQvFUPjEgRpT8/GQEvbR6xBRmMdyOgyy46DJkGmWe27Km2ZdmNFwszWCp+ibKTdI3zyCs826fOkCTJqzFM5madSc56WTSekXW+xCIqfJTTT7sMYo8WiEyOIT+kDBwGBIEakDDN8GpuRhYF6r3b+aEvbh+FTyVSSQaY+LTRJ++JlwhsO3FVJV27qTJ9qyXVXT0h7vUnat66sN+ZpU9VKZ58WmysS1fMWGj4tnTGL+ERWJEimfSIhyHRFIneoA0FOTjHnKSPbyCCnxakWCyUlpY+u3ly5Fe/XbccPF9QajyV95x/w7uXz/XhWt46uP0H+3lfg49yh31dma/XfpnckozrJOiayipYMsp2MUoJ8GCiUJGt/o6B/TsQvPxsI2Mio3mLhREbTksV7m1oEpQzJIHcKEkyJXyAgzsPrDd35LCaaEGQb8fN6BME2SPtZYFhy70l7SAbZwSdL60AEPrlltX36zmdJ0idC/FxJO80gO/jkStplBtnrEd+ftjM47RDnRkb3H0XRoEQMCATx6tVWjB80ENGc4/UrzZg0ZBAA4K2mZknag8CBY+7zZCftPWXa05LFsWsrCiXtgdAWC+rT1TYgLjb8PFGf7AQ53c2ndPH1DzbaCHK4rHbQRtpPhLZ9OJF2J5/c+qJdSbuTT4S0E58UQVZSUrpVtPfSWUz6yTeNPz+77A6UZYzsxzO6frplCHKMxwsEgpih99YGAiidaGZrl0yfZZCs6nlmH+uq8qWEZJmtA5tWrHQho7Zsrd7OUGsSPztB9shl/DW0j5VkRpfN1FsHgIUlUwXVspCsACaNJJnRzBxxHJKtHQIEgshNlmQ0EEDB8EyRhQwEMTHPJH4zjX5fjvkWMjoH0U6knRDkOwlp31i1kpBR4hMh7duITxYySnpr11cQnwjxqyGtAwZBZkwQP92nYkJG80cTn0yCPCKZEj+RQc5NJqQ9I8vwyULaCyUZDQaxYPIUw5ul02cZxzRba5knkmn/1rR5ePP7z+J3T/0GLUPz8dr3n8UL33sGzalj8KcfPIeXvvsMfj15rknaa1c5+nRnxe0maSdZbdrOsHTGbcY8LdDnyZJBDmBSXj7xKUv61Gn6RDPtKanWFQnqk0GQxxvztKBkqumTnv3nHCvpDpbEJ7M9hllJey2dJ5rVXm1dkTCuOzP7f2fF7QZBXk1WJKrnLjBWJJbOMFck5uuZds4xs7DYQpBD56kTubQvmpB2w6esHEHaA6oHWUlJ6dbRxKQ08M27EOPxAAAW/fo7eOviGQBAm68bj731Ep47daQ/T/Ejp+tKkC90tCHDyCC7ED/XdoYT5Lfpjwni55EE2ZKtzbX21gKCmOrZWn0nvSAXX6cgN7TFoqcMsk/v99WJHyHIjmSU7BDnDwCQZJRma6/K1gGvS4tFCEG2ZZBdyWh6qE96ZtQgyCMhsrWHTTJ68JjoQeZB8XUKdDLq4JMvAJw+B+RkhPpkZEYD7hlk12xtTwTZoZ0h3Dw19kxG1/7kd9hz4CSiGMNzHR0ojY2FhzE829GBsjiR4/pE2hD8oXwmuhnw9pWr5jxZWlEiybRfFE0adp967IuOwCcLQXbIaus+OWXajQyyPdNOrjuDIDtcd3RFgs6TTpDt85Qvmz/cstrUp8vN4u/TviKh++SXGeQ+ZLUzEwbixJoHI/4806UIspKS0s0sWv82PTUDr54/Zfy56c5PYLAEaR9VHThwAABQUFDQp/ffFAR5QFQ0/j975x3eRpX27XskWZKdHtupduy4xiXFNU6vTnV6J6QXyi5tF3ZZYJeyCwtL+XZ5WVhKSID0XkkhhXRKQirpPU5zupvKSJrvjxnNjGQ5CbxA8rJ6rotrJ/LIkh6fo2v2Pvf8jlkwgttNS69b65HomKmRrB464tevvUaQh3Xtqe6kN0ZHsib0H6QS5AcGarm1D6kupEKTQ2QXcrJKsgQm6nJrx/Tur1LjETqCPFCXztDTm2IhCHTOzlWJnw9B9pJRp+wgG72pA5F15ePScupXrykT5HCNjDaJipZdSLebFnEJVFE80bzUdDW3tlNGlrbjoM4ZHdChc0DiN7qgr65POgd58HCZMgsCDw8dqXNr9Q7ycPV44gA9GdWc0RHe3FqjgYFeV9ugc7UFQXZrvWQ0tWnAFIuUKKVPNodG/ErLZYLsdhPjdUbdbpIbRFPNqutTBdIu78yojie9096pcyUEWetT91FjCQ0JQQJ6TJyINSQEAeg1eTJmoxEBeLVnPzbPWcu26auYm91OHU8TfMio1qfh3b35vgIDOnYOOJ46BeyTmxZxuvHUIFpdkYiN8I4nhSC73cRGRFBbR0a1PiUS5iXtaemEWi1qn7zjSe9qD+jYWR4rkkeeCxVWJAQm9Btc+bwzmQDksRWAIE/wG0/e4xG6HOQBHXR9ytP1KUNZkXB7yEvTE+QA887mICa8js79r670qa7Wp6hGap/qhlb5Ob/+ghWsYAXrrpQ06Xl6RCUA+FwcAyw9ffhuvKWftJKTk3/0xfEPqZ+fIPs7yLdyayslfjoHWU1nMMrESk9G1Z3PTmhu7eFTMslSyWisslucQkZ/lINciVvrs5NeAOJXaYpFJcTv0lXfHeIC5db+mD7pCbLaJ8UfDUTaAxE/nz5dlomff5+uFcuU8o7TPrxkNLAzeksHWSWjF5U+3Y6Myn0auWCtL0EODcUIrLHZ6BIaCoLAuvJyuoWG4gYejanDhyN66Aiyv6vtT9p/4Hi63c6MlfWpgqutOMhF1+S+q6S91q1zte+EIB88qXOQK3HaD5+U56OkT7G4xcqNj4PsHU/Kys3tXO07cZBNJvk4mGIRJMjBCtZ/QXkkid99tZp/7f8agFEJzfjs2F4A5ncdwqDGqXfz7f2vatmyZQD06dPnRz3/3iHIqoOc7uvWKsc9dHms/ToEIn6STHsVqjVhgJbv+4APGfXuECdobq1B4IHBw1SqpbqQBgOjdQ7yCF2KxYCOnX2cUZ/UAYMB3LIzagjg1jbxOsg2B7F6guwlo7oUiyYNfclomI4gWxXi1zEjy8cZ9fapf0CCLPm4tRP66/s0TO3TQ0O0nc8e8qZ9GAQeGDRcI6MDBvmQUY34aX3q31HvjLatpE8KaXe7aRGvEb/khjoy6pP2IZP2mPA6KvFrEuVPRr19auqzIqGR0XYByag8njQy6u1T91FjfAmyQkOjnnuamZlN+LRpAlHPPU2IyYQR6D1uvB9B1jnIyvFwHWkf0LFLwPHUyetquyXydCkWere2iZ60h0fqCLLcp8YRdamlkPYmDaJVt1bvILdKb6aOp86ZOZgt5orjqb0vQdb3qSJBhgcHeccTmvsP8tgy6lZulHk3oZ8vaffS9eHdNAe5fwdtPPVopaXH6Em72ie3m+ZxmqutH08x4ZGqg1yvWg2tT2HKikRDrU/1gg5ysIIVrF9pGQSBf7bqwZ8z2jM2qQWfdhqg/mzw2nkIH76o/vd/rd58803efPPNn/11fkEHWcn3DeTW1q0NpjsgfkZDAAc5JjAZ1e+k5yVZehfyxC0IckwD+ZwLlyG63p05yC4lxcJL/Jwu2TG+I+Knd2uvyW7lj3ZGA/Tp4An5c6vOqG4nvUDEz0vaKxDk8xAXrfTpkm6HuKt3QEZ/oFtrMlYgfrfsk+ogX6Sx2UJCaTnrgLgqVmLK7ax3u5Fi6vuSdqOBkQvX8cHhQswKQe5gtWISBF6sXZWXJ8lfKM98uJjnr5fgRuCxRpF8OLzHrV3t0xcgXj+e6ms76fmTUf9UFP14qtStvROCXOU2DvJF3xUJ73g6flZ+vwHSPrTxdFKXg+w3niqkfXhXJG7htFeaP66kWHgd5Bt3kmJRSZ+8BFm3IhF0kIMVrGD9N1Wx00GNT14N+LPl3UfQtp4cmVk1xIxwD+/M96tIsagaYiZEdZDTVJLVoUWWjiC3wWyViV9/HfEbmt9DJVmj1B3i9G4tTB44VCOjQxUyikJGlR3iHhisubV64jemoL9GkPUuZMfO8u5eQK/W7TQXMitblzqgkVGVIIv+BLmOH0H2EBNRRyV+yQ2jVDLaXOfW5qU11QhyZrZvn0K9feqk9mlYvkZGR/Xqq/ZpvOpqo9A8uTcPDlF6U4G06/sUmCAP17naAzp2UUlgT2+KBZJG/Ny+O8T5kFEv8bM5iPXuOFhaTj0vaQ+PpHaViqRd36eWqVqfOumc9olpGRyavpqF89ZzvdzC9zPWsHjueo5b6vmsSHj71P3+0YQpvekxcSKhynHfiZMwhchjy/36S8xs0YQpLZIIff4ZzdXuP0jtzahe/dTe+DrIWp8CklG3Lxlt4d1JTxRJbqDrU3gdlSDXU8ZTrI4g+7raOtKe5tsnzWn3knbo37EzIVa5NyPUHGRJpuK6FQl1PA3WOchD7lPHk3xsUubdMHVsySsScp/u1/cpX+tTf52r3UOXg9yxRZbWpxS9gxyYIMdGaPPOO55iw+to4ykqhmpKmk4da9jP+fUXrGAFK1j3VFU3W9Sd+M6P/B0LdLvxFayeRc1PXqP6J69i+Oglip0ObC7xLr7bu193P8XC361tEKmQUZ1be+S0TJoqkCzvjl4G+P64vHseyLt7pVXm1uoIcpKX+J2XM4NVMtrQlyC73DKJq38L4ncrkiVJ8uerxIWUdz4L4NZeuCwTWJ/cWpNMKBsG2iHOS0aN8ucO5CAf8PYpAGkP5CD79ElPRishyPo+BXKQ/Un7D+xTfSDj6k3WhVlxRNaqQEYzdhxg85pvsAoCOx0O0kNCsAoCi40Cz47uTX27kw1OB2nVqhLudBH17X4+OlLRQX6hdjW+6N0GEPj2RnHg8XTkFO3DwrhqDuH7khI6mS1csJo5VFauG0+6FQm9g3z5mrKTnr9bq99xMNCKhEse47dytfXjSU+QL1xRxpOfg3zqnLzDn/948s47/YqEwSCnxFRw2rnNisSdkHZvnwI4yP7j6Ye42jalT37jKUiQgxWsYP23V/7nn902/u1ec5Z/KYL8s14gl7tEIj99nXKnnZb1otl7rQib00mHqMZ8deksDlGkW3QiGy6cQnSJ9I9LZcXZo4iii6GJsNTHSAAAIABJREFU6Sw8eQiXS+T+5AxmHduH2+1ifJMsPj22F5dLZHJaDlMO7cLtdvFgWi4fHf4Ol8vFQ2m5fHD4O9yiiwfSc/jo8C7cLhcTUrKZdnQ3bpeLUckZzDy+D7coMjypOfNOHsAtuhgQn8rSM0dwO0V6xiaz5vwJ3E4nnRolsuniadwOJ62iGvPN5XO4bQ5aNGjEvuuXcJfZaFK/IUeLr+EuKSO2bn3OlhfjvlFMvXr1uVhaTEyNWpSKTq6Wl5FcK5ILtlKK7TaaR9bn6M1rFfrUMaox25U+9WiUxPoLp3CKTvo3TmX52aO4XCLDEpqx4NQBXN7P5O1TShafHNmD2+1iclouHx/ehcsl8lB6Lh8c/A63y8VDTXP54JB8PDkthym37JOLYYnNmH/qAG5RZEB8OkvPHMYtivSISeKL8yd9+2R3khcVy7dXzit9imbf9SLc5Taa1IviaPFVtU9nyovx+PWp2Onguq2MpNqRXCwvpdhup3XNSNa/8j5ieTmOlrlEdUnD7nTSMSqO7ZcKlT4lkLFoBRmnz3NhyEAe/ce/EUURU9++iKtX43S5kIYMxrJoEaLLjTB8KGFz5iG6XISMHAlz5iC6XEhjRiPNno3L5WLTs0/Rx3MZt+hicnouUw7LPdtTVoXkD6bgFl24hw4hZNEiPKKLN//+DC+WnFfGUwpLzxzF7RTpEav1qWOjBDZfPIPb4SSvobdPdmU8FeEus5FcryHHSpTxVK8+Z8uKcV8vpl79+lwsvUlM9dqUuJxcKy+jSe1IzpeXUGy30yKyPkeU8ZRXrxF7rl0KOJ7WnT8pz7vGKSw/e0wZT01ZcOqgOp5mHd+PyyUyISWLT47K8+6BtFymKOPpwbSWfHR4pzzvvGPL7WJyag5TjnjHUxbTju6Rx1NSC2ae2K+Mp6bMP3UQt+iif3wqy5R51z02ibXnT+J2inRsFC/3ye4kLzqWby/L46l5g2j2e/tUvyHHlHkXU7ceZ8tL8Fwvpl79elwsLSG2Rm1uOu1ct5XRpHYdzpUVU+Kwk1knip0DJ9/x95n6pfm/vEAWBOExYBLyLcUfSpL0T0EQXgf6AE7gODBOkqQbgiDEAgcB763nX0mS9KDye7KAaUAo8DnwmHSbL/RA3+GiKFJYWIjdbv+xHylYP1NZrVaioqIIUVZsghWsn7okSeK6w86GCyepZQ4lrVYk9WZU9HtndhrIiISmd+EdVqxfxQWynGLxFqLk8XVG9ekMAe+m/1+S0QPHtZ30AqUz+KdYnL6gEb/CS76pA6qDfF1H/HQEubhU9qnvyEHWubUVcmtv79ZqpN2fINeTd887FsBB9id+ap+QSbu+T/4OsrdPd0za/d3aAGkffm5t9ZJy2l++wdZ64Vy3mm9JkCPOF1E4dQUWQeCI202XhwfT9Foxa60hiN4xpBtPbbbsYs3G3VgEge0OB5lmMxZBYJPdTkuLBbMgsMFup63FgkkQWGez0T40FJMg8EV5OV1DQxGAP9Srxb/GFCg7M56kbdWqlIQYmTh3LQ/anIjAV3Y77UJDcQADs5JZk9/yzvrkR5BDr92k880yvq1TiyKDcGvSriejle2kd6sUC/2Og4EIciCnXR1P/k777VYkbpODHNDVvgVpv62r7UfaAzjIdyPFQhCEdGA2kIt8MbwKeBCIA9ZLkuQSBOE1AEmS/qhcIC+XJCk9wO/6BngU+Br5AvltSZJW3ur1A32Hnzx5kmrVqhEeHn5Pe4f/bSVJElevXqWkpITGjRvf7bcTrP+iOnTjCuGWUM6Xl9BCtzufNOn5u/iutDp79iwA0dHRP+r594SDXCXEjNloBLeHXJ0z2qFFlrqTXveWrX1SLGS3VmJI1+6qW3u/N3UAifG6dIbJg4dhMltAgAeHjfB1kE0mEAQe0OUgTwiUYmEwMry75tb217u1Pg6yloOcp8utbZ6QWNFBtjs0F7JMcyEbhUeoLmSyLo+1Mre2Q4a242D3vNY6B1nr0zBvigUSo3r3VT1R1UEW8O3T0PtUt/YhdfdBv9QBr4NsMDCqQHNGh+kc5P7e3FrBN3Wgo7qTnkSeuvOZmxYJerc2SvaO7Q7OrdzJvCWb+PadudRTdj6Liaijpg4k6RzkxOQULGFhuCSJpKwsjn+2irkLNlB4zq652rp0hla9ehNmNiMBbQcPJkxJq+h0333qcf6YMap33PjJ3zE1N51pTeOp/fwzWEwmBKDvhAmq0/51YhZrF2xg22ereKjfQEwmEybg4t+eZUF6PG+0Sqf2A+PVMdTP2yegu+pq6/okSbTU9en8ztPMX7KJfe/Op2m9KF2+b6Q2npQ+xUbW8Uln8Lq1zeMSCfM67boUi44Z2ZjNZiUvWjeedPNuWED3H8YP0MbTpEFD5X5I3rmm+O0691+fPz6+/0Cdg6ylfQzN7+HnICuudp7mtHfQ7TjYMjVNdZCb61ztJJ3THqM6yDYlxcJNTLi3Tx6aRDVS8sc9dysHOQX4WpKkckmSXMBGYKAkSWuUfwN8BUTd6pcIglAfqC5J0lcKNf4U6P9j3pDdbg9eHN+DJQgC4eHhQbIfrF+8mtSMIDK0Cs3D6+GZ+Bf18aiZb93Fd6VVdHT0j744/iH1CxJkvQt5WSZZt7qb/o7JqEKy/B3k1DiQkJ3lVK8zehqaxN45QfYhWXq39qb8nm9JkEWZVLlc8vu4lVt7owSqhMrn+BM/b+rA2YsycfTmRTeM1KUONLhFioVR2WVQ61NujeoAfHOzWCPIPn06JZ/vdZATFeKnJ8iFlyC2YQC39rqW9nFd16dKHOSbf/+E6gYDDknC+tT9YA6plPhFnCuicJpMkI+LIg1NJiyCwG6Ph8w/jlJXJOLMISSWlFN+roiVW/ZiFQS22+1kmM1YBYGNdjt5CkFeb7fTTiHIb1azMr9/Jyweiex1X/PapeuAwNN1ayoEGf7+3jx+X2LHDWyy2egUFoYTuD81hpKmiZwPtXKwrMyPtAcaTxoZtVy+TtcyO99F1OSrf8+jkcGAU5IIf3AApeE1KzrIgcZTBQc5AEHWz7uzF31XbvxTLIxK2kdcgJUb73gShIorN15X+5CycqPuqhd3G/e/kvSYq5WsSARytV1uuT9Wvz7Z7HL6i9+8i65SnTO/sIMsCEIKsARoBdiAdcAOSZIe0Z2zDJgjSdJ0hSB/DxwBioHnJEnaLAhCNvCqJEldlee0A/4oSVLBrV4/0Hf4wYMHSUlJ+TEfJ1i/QAX/PsG627Xq7DF6rpoBwLf9J5Ed2eCuvp85c+YAMGzYsB/1/HuOILdMTceqUL4O6t30HrrnaekM/dS76VFSLGQyer+OjI7rP1Ajo950Bgke0pFRjWQJ8h33XpI1YFBggtxNfze9RpC757VVMmwlOmbpyGh6cy11QJdikRzVSCajNqeWg1xmo261W5PRZo0TqKJQrZZpTbFadARZ1yefvGgldWCoLt/Xh/j100j7pMFanz7PaMPmeetYP2s1K1u0UXsTsE9GhSArxG+YjrT366gnyLoUC13aR0td2kfz+ARdn6KVPjmo1kj+PzvX3G7q1dCnWFTRSLvSm4ZNm/LYwM4sTIjijT8/ypN9O7AgIYqPXngCs1nuzYS0DA5OX8P8+RuYWTeOf3TJYU6TGA6+9DRVzGY8QOcRI1SC3G30aJUgP9l3INvmrmPN7DWMGD2WT7JSmdI8EeMrz2NSxlPvcePUTGT7355jTrNE/pmbxj/yOrJ80SZ2fLKCFzNaBVyR0Ei7Lxk9d/gK85dsYv9/FvDGE+NZmhzD/T1b0bBxvEpGG0VEauOpuo6M6vpU1bsiEZ+gEuSWaU0Dzrseup30+nfsoo6nYd4UCyT5b6+MIX2u9uQhw9Uc5AeHDldzteVjeQxNGjxUXZEYr0uPub+gr9qboT4rN7rxpNuZsUOGNu/0pF3NQXbK8867cqMSZLVPHmIjfXOQvX2KuAspFpIkHQReA9Yg6xW7Abf354IgPAu4gBnKQxeARpIkZQC/A2YKglD9h7ymIAiTBUHYIQjCjsuXL/8EnyJYwQrWf1P1iE7gTy3aApCz+EM2Xzh9V9/Pe++9x3vvvfezv87dSbG4cFl2eE1GX4J86gJE/VAH+Q4IskqyzsgE2e2RSVlybEWSpSejlaVY+KQzlEIthSCX26B61TsjyP7Er2qYfI7eQfYSP6+DfCuCbDTeEfF79JNlAcnoLQlyIOKnI+2m80V0c3o4UKsq5+128m0ie8NrcNnhoGuZg+8ianIeSSXIVW+W0OlqMdvrh3P8X3PumCD79ynaYKTZ1Zt8ERqCs14EmOQUi62rv5ZzjQXo8eT9YDKSv/ZrFn57CKsgsMlmC0iQ19psdLJaMSg5yOt6yV8IX98soU21qjgMBgYt2aAS5AmJUcwc1BncHqb+axajnG6cQP+sZEiI5nSVUI6W2+jmgaPVq3Dc6Qi44+Dhv39CktGIQ5JIHtmNZk4339SpTZnbpfZJdLnpcPkGm+uHc91qufNUlAoOciCnXecg61ck9CkWh07KKwkGJT2myR3MO/+Vm1utSOhd7UrTPnTu/20J8u1d7btBkAP8rleAQkmS3hUEYSzwANBFkqTySs7/EngSOAdskCSpifL4CKCjJEkP3Or1ggT5/14F/z7BuhfK4XZh/fhl9d8vZ3fmmYx2d+W9/CpykKuEmAkRDOB2k9MkzYdkeYlf9zyNZPXt0DGwg9yrr3yMxPh+AzUyOlBzIR8YOkIjyMNGqMRv8uBhmLwkS09G+/RXyZ7erdWT0e46Murj1qbrdvTy7hAnumgS7XWQ9QTZrjqjjSLqqGQ0qWG0SkabxXsJsltxkP2In+Shu/+OgypB7qVQY4mRvbU+jdX3achQlfiZXnmBadlpfORHRif5EGRt57NRvTXiN0yXWyu7tfLx2RsGFizdxN6PlnD5dBnzl25h3weLuHjgMvMUMtoqOlYlyOc2HmTu0s3seWce1aOiVIJcVyHIjWoHJsjN4xPVPnWPS+bYZ6uYvfBLCgtt6njK7NSZUIsFD5DXu7c6nsInjeOfHbKYmRLLhb89E5Ag95wwAWtICALwQu8BbJq3nnWz1lAansC6BRvYOGs1T/YdqBLk7qNHqX3KHybTU6MksSAmlSWLN7Nz2gpulJpZtGQTuz9exsS0TG1FQkdG43KywWhElCT2fn+JuUs3s/e9+ZzfeEDtU+HKHcxZupkd78zzIcg1w+Sb05IaaGS0WVwiYRaLloNs0TvI8nG3lvqVmy46B7mnzv3XOe0DBvus3JiUefegbt7Jc1CZd0N8VyRMphCNIJsqEmQfV9ubg4w8BzQHWZt3zRoHJsiNakequdpeghwTWYeaoXKf9KT9bhBkAEEQ6ij/2wgYiEyFewB/APrqL44FQYgUBMGoHMcBicAJSZIuAMWCIOQJsjw8GlndCFawghWsn7wsRpPPTXrP7lhP7U9fU/99svg6+65dQvjwRYpsZXfjLf7k9csQZLdbvmtfv6OXejf9RairJ6N1fEmWPxk9dEImUEaDTKxUF/KY7NMiwPfHIC3Bz631upCNNYKcFCMfnzoPCQrJOntR3j3Mm2IRVU/2lIuuyxnNLreSg1xLfq4+B7lMIcgu5W76UD+SdTtn1Gj069NliFBI+504yD7E7xQkBnJGj5FXvRog8FVxSQAHuZI+eZQ+KcTPeOYC3SSZjE6ZsoS2GHAgcdIp0iQkBBEodLmIM5kQgagxvbisUMFLf59GHaMRpyRhlySVIDf47RDaXbzKl3VqYzYItLp0jQ3h1aliNJJbdJ21NatSy2Qk88oNDnk87F3wJWZgj+Rh0OQBpN4o5dK1G2xauwOLQpC7KwSZY2dl4m000m/5JmbuO1GBIH9hs9ExLBQjSopFWCggsLa8nPywUDwIbCgvJz80FBcwMaEBF7PTuGI288SslYwSPTiAnXY7ra1WHMBeh4MciwUn0L5LFnVr1+RAzaqcczjoZhPZW7s6a95bQJLBgAgUud1EmUw4JYlij4cI5cLZpvTJLkk01PXpZrUw+fMVl0JYqHx87aYuB/mavMKhd9rVFYlw+fjUeWXl5hYrEuq8048nNGoMvqkolY2nSlckiuS/j9sNF4ogqr5Mg69WkoOsX7nxplhU6iA7IMQof76SMnlemkx3LQdZEITNQDggAr+TJGmdIAjHAAtwVTntK0mSHhQEYRDwknKuB3hekqRlyu/JRot5Wwk88mNi3u4VQvnyyy8zc+ZMjEYjBoOB999/n5YtW9K6dWu2bdv2k7xG1apVKS0trfTnN27cYObMmTz88MPqYz/l63vrwoULPPHEExw7dozi4mIaNmzIhg0bAp57r/x9ghUsb/VaNYOVZ4/d8pwTwx6lcfVaP8vr/7oIssdDbmqaSrLaZ2RpBLml5tb2bd9JI8jdehBi9ZLRPhoZ1e3oNWnwUJ0LeZ9MqYDJuhSLSYOHYjJpBFkjWf3kY4OBod21nfT6deqqOaOt2ypUS/C9mz6tqUwCXW6axetIlpcgO5zERCgkq6ycutWqKykWkTqCrJGsZvEJ8s5nHg85qam6PmnET0+Q+7bvGNBBvr9A72r7OsjePn3eoi0b529g3ew1rGze2ifFQuvTYL8+mUAwMETnap9yVWfhki3s+ng5W/74KAtT4/hd5xziO3bAYDTikSTic3IQlAvhhCYpKmmPSEgAg4ESj0clyNfdbs4u3ML0RRs59/m3nJm9nhkLv+T8lwc4Nf0LZiz8kovfnuT49DXMXLiRHYVlWK1WPEBGq9Ycmr6G2Qu/ZL2hJqFmM258CfLQbj3k/iHRZcQINd2i26hRKkGOe/JxPmrZlCnNE/h22jtMzUnjwxaJfDvtHT7NSuW9zGTinnycECW54qOc9ny+aBPbp69UnHb58XaDB6vHeQUFGE0mDMB6Q03mL93MnilLuXyqjHlLN7P3w8UkZ2aqfYpKTwejEbskqX0q9u/Tgs1MX7SRwpU71HSG5OgYbUUiIZGw0FDweGiZ1kxz2ltkaysSrdtqO1h26uIznkICrEiM6z9YHkM+40nwWbmZPFTZjdFv3o3tp7n/I9UVCYEhuhSLPh06qQS5R6t2yiqOQPsMZSc9j4ectDR5TrncNIvX3P9EXSpKdLiXINt8CHKtMCU9pmEjqoWGgdtD5F0iyJIktZMkKVWSpOaSJK1THkuQJClakqQWyn8PKo8vkCQpTXks03txrPxshyRJ6ZIkxUuS9NvbXRzfy7V9+3aWL1/Od999x969e1m7dq16l/pPfXF6q7px4wbvvvuuz2M/x+uPGjWKAQMGsGPHDo4cOcLbb7/9k79GsIL1c9XnPUby16xOtzwnbs7bCB+++Au9o5+nflaCfMVeToMZbwYmyD4kK0J+vMLd9P5k1I9keR1kH4KM7EWmxVfu1no8MlEMRJALLyoOskd2gAMS5JuyC6knyPp0BpcbxAAOcgUXUiZZqlvr3flMnzoQ6UeQVeJ3Gwc5IGmHRz5Zzj8UB/mPdWvy9pg+ladYeDwIR8+QH2LmXJiVA6VldDcYOVU1lP83dRn5koy12nfJom6tmnxfqyrzPlxMhiCnMJx1uUgICcEpSSTf140WThdf163Nnv+ZG5AgS5KEVbkgtAoCZkHgittNdYMBsyBwzuUiwmjEDJxQUizMgsAhUSROOd7rdJIUEqIS5B5PjpT75CXIJiP9lm1ixv6Tcg6yzeaTYrGwX0csHoktJaW0ql4VENh+s1hdkXjlP/P5fYkdEdhSXk6X0FBEYLvdTgeFGvsQZKeTHIsFBxKHHU6am83yThCiSIrZjFOSOCeKxIWE4ASuuN00NJkQJYkbHg+RSp9skkQNhSCj9Ommx0PNp8dUHE/XbsorGUaD7Dp7nfbzl6GO4rT7jKdzsvNb6cqNzkHWjycfB1nwzR+/lYNcaa52A2Xe3YIg+6/cVDbvRCUx7RbzLriTnlx6Qvn49lXsvnrxJ33NFuH1+GerHrc8Z+HChUydOpVly5ZV+JmX+p46dYoePXqQl5fHtm3byMnJYdy4cTz//PMUFRUxY8YM6tSpQ0FBAfv37wfgjTfeoLS0lBdeeMHnd/Xv35+zZ89it9t57LHHmDxZ3jBm+PDhLFmyhOTkZPLz83n99dfV57z11lt8/PHHAEycOJHHH3+cU6dO0bNnT9q2bcu2bdto2LAhS5YsITQ0tNLP6na7sVgsFBYWUq9evdv2L0iQg3Wv1t++28Sfd8orHxHWMIbGpfJ4eh5Jc99Rz4mpWoNTIx7/SV/3ypUr8mtGRPyo598TBDnMFKIS5Bw9QdaRrG6t2mBW6FVfnVs7WJfHOrIgAMmSJCYMHKKS0cm6FIsHhinHBoGJg4eqLuQ4bw6yYOD+Pv1UwjWku0ZG+3ZQUgfAhyB39CHIzeRjt44g61MsHA5ivA5yuV0lWY0itDxW2UGWSVazuASV+OWmpROqOMjtda52t1YKaZc89O2gEeQhPsSvj2+fVNKuET/j359nSm46H2QkYXjleR/iF6hPB2s3ZsmSzXz96ecUe2qwaMlmdkxbTvf8bhhNJgRJYp2hFvOWbWbvlKUs+sPDLEyN46FuLXnjz4+yMKUx43q0YvfBImYv28Le9xZQJyEBjEZKPR6qN2yoklFrnTq4JInqUVGYa9ZEVCiquWpVXJJEw/R0LGFhuIH4nBysoaF4gNS2bbFaLLiBFvn5hFksSECr3r00MtpdI+01nvgt/2qfyafpcdj++gyhZjMAT/YZyJZ561k15wvKaifw5fwNfDF7DSsz2qp9uvb6X5memcz/5KSQ9MhvMCnececRIwIS5O0vPMn89Hj+1DGLpJ49MZhMIEnMeuZRtU+NWrZEMJnkz5iWBgYD5R4PzzwymkUpsQwsaEP16GgwGrmh71N0NDWVdIZE/XhKSCJUmWu5uvSY9lnZmM1W3xUJyUOfDp3V3ugJsm96jLIiIfnmID84RPGOgQeGaCs3EwcNVY/H9R+orkiM7N0XkzLXBusIct/2ndR51721RpDb6Qhyblp6xZUb0UVSw2iVIDeK8M47G3W8KzcRkWqf9PPubhHkYFWsbt26cfbsWZKSknj44YfZuHFjwPOOHTvG73//ew4dOsShQ4eYOXMmW7Zs4Y033uCVV16549f7+OOP2blzJzt27ODtt9/m6lXZbHn11VeJj49n9+7dvP766+r5O3fuZOrUqXz99dd89dVXfPjhh+zatQuAo0eP8pvf/Ibvv/+emjVrsmDBAvV5vXr14vz58z6vbTQa6dq1K82bN+eBBx5g69atd/y+gxWse6mey2zP5VFP8U3/iVwe9RT/btObxBrhPtnJp0tv4vJ4ftLXjYiI+NEXxz+k7g5B1qcznL0g36VuMsHpc5UQ5FMQF30bknUMUuJlL/L74zLxQ5LvuE+Nr5jOcPwsJMXKZOrUOTnxwe2Rd/fSO8jeFIuiazJB9idZgXKQfRzkH5BicVuCrHdGAxC/I6dkIuffp++Py0keBgH2H6O1Qka3FZdorvbB43SqUoXiEBM7S0rl3FqPm4//OYv7RQ9OZDLaxmLBAexxOMhV3NqDTictFDLaok9bDjdNkHeFK7pKt1I7OyNrsfndecQaZBp6w+NRCbIPGQWsgkCJx4NZELAIApcVgmwRBApdLiIVgnxcFIkKCcEsCBwUReKMRiyCwB6nk2QdQX5ibAGxZTZWSx5Sw8JoaHOwRnQiKQkfIxasZcqRQtVB7my1YhQEVtlsdLNaEQSBp+rWZFeXXBwGA9/cLFGzft9+ezYP2UVEYJvdTkc/guwEurZrzra2LcDtYfM/PqE1BpxATu/WxIVa2RNeg9WKg+wELusc5NhxvWlZYmNbvXCO/M/cCn0q9nioURlB1qdY1FYc5PNFcnJFhfHkJcgmOHZGXkExGeUs7fho+fjgiYrjSZ1rysqNSpCRz0+rbN4FWrnx28EyyrvjoG4Hy0Duvz49Rj/vKhBkxUHWudr3QorFL133soPsdrvZvHkzGzZs4P333+fVV19l7NixPgQ5Pz+fo0ePAjB69Gi6d+/OyJEjOXHiBAMHDmTx4sV3RJBfeOEFFi1aBMCpU6dYvXo1eXl5nDp1yuf53ue8/PLLXL16lZdeegmAP//5z0RGRtK3b1+f9/Taa68hiiLPPffcLT+rJEls3bqVpUuX8t577/HZZ5/Rv3/gfV7ulb9PsIL1Q0qSJAwfveTz2JVRTxH+E4CJadOmATB27Ngf9fx7hiCbFIKcnZKqkCwP7TI0gpzfWkey2ncKSJDv0+X7jtE5yBMHayRr8pD7dF7kfTIdRmDi4GGKaywwrr/v3fQm5W56lSAL0Fefg6zm1kJ7XYpFblpTlSA3TUiU6ZWeZDmcNIqsIx+X21UHOTpcI1kJDaKoqux81lRHkHNU4uehfaa281l+np60dyJE6c2Qbj01V1vnIPv0aYhvDvKGBV+yZs4XrGzeRvGLBb5JyGTlok1smrGaj7PayEkDgoF9b73E7OZJvNKmOan3a5S0lc6tzczPl8ko0KxNG5W0Fx66yuxlW9j3/kJef3w8C1MaM7xXa556fCwLUxozoKANjzw0gkUpsfTp3RpLZCSiJFGtYUMsNWrgkiQiExKwKAQ5Ki1NJcgxLXN5vF9H5iQ3YsYzjxBqteIGMhSC7AG6dc1nz8wvmLvgS26K1flu9lrmL1jPoVqxKmnvMVJzkHuNHYtVOe4zYQIW5fj1bgV8seBL1s9cw7ystup46j1qlLqTXhc9QR4kO7cGSSKvVy+VjGZ26aoS5G3FBuYs26I5yApBjkpPB4MBu8fDkW1HmbVsC7vfnU+NqCiNIEdEyH2KigpIkJvqHOTc9GbaeMrKUcdTt7w26lzrq8tBHqIj7erKjeTr/k/UO8jD7tM5yCPUlZtJQ4arfRrrnXcGA/cV9FVXbgZ376G6/307dFLnXbdWbTQHWbfjYE5qujrv0uO0lZskb4rbILvEAAAgAElEQVSFw0l0eEQAgqw5yElRjdR5F26tfBk8WL98GY1GOnbsyIsvvsg777zjQ2K9ZVHGIIDBYFD/bTAYcLlcmEwmPDpaFWgXui+//JK1a9eyfft29uzZQ0ZGxv9qtzr9ezIajbi825zfogRBoG3btvzjH/9g+PDh7N2790e/frCCdS+WIAicHP6Yz2MRn2mrModvXGHE+gXYXOIP/t3Tpk1TL5J/zvpZL5DLXaKM1g0Gdhz4Xv4SMhjYvGsHDocDDAa+2L4V0eEAwcCyjRsQ7Q4QBOZ/sQqXwwkIzFy+BJfDAQh8sniBcgwfzZ+DWxRBgA/mzcQlOkGC9+fOxOUSQZL4aN4c+dgjMXXRfPnY7WH68qW4XG6QPMxbvRK32w0eiaUb18nHEqzevgW38mW76bsd8rEg8M33e+Vjo5F9R4/iUVIqjpw9Ix9bzJy5fEk+DrNyqaQYjEbOXr3MjfIyMBo5dr6QUrtN/h3Hj1Jut4HBwLcH9mN3yH3atGsnTqU3X2zfglPpzdKNGxAdThAE5q1ZKfcMgRnLl6q98e9T9qnzdDhzgZUffoRkd2Bye1j50Ye0PlFIy8Ii1kyZguB0IkkSX3zyKZ2PnqHF+cv8v/VrGN2jJa+0SmfDosW43G5EQeCr5ctxu1x4gJ1r1+Jxu5EE2LNtm9wbg0DRtu1YHE5CPRIrLp9nekosX8U2YLG9mOkpseyIbcAyg8j0lFh2xTbAcfkyIYJA8blzOG/exCQIXD52DGdpKSZBoPD773GWl2METuzYyap6tZiTHs+y73djczgwCgLfrV0rHwPfLF+O0+HA6vHw3ew5OBwOLB6JrdNnyGNLEFg14zNsojxBV0ybhl0UkYBlU6bgUI5Xf/AhgsOJ0eNh1ZSPaX/sNNmFl1nx2We4XC5cwLpZsxCV3mxcsAC3y4VbEPh2+Qp6HjpF0tWb7Fy3Fo/LBYLA2fUbMDucWDwSx3fsQHK55M+4fz94PFgNBmwHD2F1ioR7JIoLC8HtppbRiP3KFblPhYXqeDp67iwlNhsYDew7fkwdT998v0+dd5t2fovT6QSDgTVfbVXmmoGlX65X5928Nd55hzKe5D5N8xtPLqd8zvtztHn3wZxZuER5rn04b7Y676YtWiBfNHg8zFy+VD2ev3qVMu88LN24QZ2Da7Zv1c27nep4+vbAfnXe7T9+FLckQUgIR86dlY8tZs5evSwfh4VSpMy7M1cucb28DIwGjhSepdRuB6ORq3bbz/n1F6wfUIcPH1YpLMDu3buJiYn5wb+nbt26FBUVcfXqVRwOB8uXL69wzs2bN6lVqxZhYWEcOnSIr776Sv1ZtWrVKCkpqfCcdu3asXjxYsrLyykrK2PRokW0a/fjMmBXr14tz0OgqKiILVu2kJ+f/6N+V7CCdS9XbLWanB/5O8YmtVAf23jhFBfLS2ky79/MPr6fsKmvcLrkxt17k7eon99BNhpVMmrxOsh+ZNRLkAvad1TJ6OB8LXXgPp98X82FnDhIIVkoBNmbYjFsREAHeawuneE+L0FW0hm8XmRfb74vyCTLS5Arc5ATEzUXMlojWY0iNIJcp1oNlSB7d/RKbBClEb/4REKVFIvc1HQsZi3tQ3W1W7dVCXKfDp1UsjdEl84wso+etA9U+zQvsy2b5m9gxdx1vJHfG0tICAbg9W59WLNwI+tmryHztw/zaVYK/8xN49muvVi2eDNbZ6zmX5mtVeK37fW/MKdZIs+3b0HKgH4qJV31lyeYlx7PY11zqZffRSXt8dnZKhndt+8CM5dvYe9/FnBu4wFmLt/CnnfnU/j5DmYs38rOdxdgDQ9HlCSqN2yIuUYNRIUgm6tUQVQIslmJWEvOzOTIZ6uZvmgjG8pCeKqgHbOaxLDyz0+oKRZNBvTnb11bMj21MQvffZXXO2fzWVoc+956Se1fj5H3qw5y73HjsJrNCGgE2aAcm5Xs43fad+PzRZvZOHM1D/cdoBLk8399hlnNk3i5bXPSR2o0+fPqDZi3bCvfTV1Guw6dVNKe2qYNBpNJTvvQ9SkqLU1OsfB4iKzE1Z4wfgBzk6J55KERWg5yw2ifFQnVQU7TrUhk5WoEWee0+4ynfK+DDCP7aAR5nN+KhDcHefJQzUGeNGyEnDkuCEwYPFQlyGMGDFSzj/UEeUj3Hsq8M9BHl6vdLU837zKztJUbPUGO1+ZdQoMoZd45iPbupFdu1xHkulqfoqJ1BDnoIN8rVVpaypgxY0hNTaVZs2YcOHBA1SJ+SIWEhPCXv/yF3Nxc8vPzadKkSYVzevTogcvlIiUlhaeffpq8vDz1Z+Hh4bRp04b09HSeeuop9fHMzEzGjh1Lbm4uLVu2ZOLEiWRkZNz2/QRykOfPn09KSgrNmzenoKCAv/71r7Rq1eoHf9ZgBev/QtUPq8bUDv1Y33s0AB2Xf0L9GW/6nBM7+1/84esvuNeCeH5+B3n6m4geZUesWtVlD7CCg6zcTX/yPETX9c2t1buQt3FrVRfS6yBLUgAXMk5xIc/oXMhzEN8IPG44o8tB1u+k53Uh79RBdooQ5nc3vd0hfx7VhbTqUgeqKDnI+tQBf2dUSfu4XZ9MRtnPTpL7NH7mKv59+hIGQWC1zUa30FAEYLXNRnflRrffRkdyqnVzikNM3L9wPQ/aZLd2ZFosSwrag8eN4UQhPTFysloor09bTncEHECbrtnszk6Te1N0FRrUAZebA69+QhPFrS1yu4lW3Fq9g6xPsfAAoYLATSXFooKDLIpEmkyyg+xyEWUyYQF2SR6GThpA+vVizt0oVnOQ1wjQU81BVtxao0FOVVDG04gF61QHeY3NRpcADvLq8nK6VamCG/hSyUF2AxvtdrpYrYjA8PTGLC1oD243c9+cwUCPVCEH+ZBTS7E4IQbOiy5yuYhSkj8Cudo2SSLMu+NgJW4t129C1QAOcsBUFKPiINfz7ZP/vDt4Uh1PgeedX/54ZQ6yfic9r4Ps9sjvJ1ZJsThfBNH15XP8d7CMrCUfF5dp8+62DrJdSbHwnXdBB1muoON6b1fw7xOsX0v5x75t7TueNks/rnBe+bhnCFWAZ6D6VeQghxpNCkGWyE5titUqe5HtMnUpFq3bqHmsBR01kjWomy7Fondgt3b84KGYzDLJmjR0uOpC+pMs+W56GNt/kEKyBEbqcpAHd+up0uS+nXQOcut2ipss0D5D7yBrJKupjmQlNYzWCLI3xcKmkayo2hGKC6l3Rt0KQbYornaa5mrrnFHZQbYE6FN3nautpFh4JMYM0PpUMGaMRkbHj8eiUMw+48djVjzid9p1ZcXizWyYuYaGv3uUzzKb8FqrdKo9/rDam+PmusxftoVvP1nBwacfZU6zBP7QKYu6A/qqGbbtdKQ9ITtLJaPROjL69COjmZcWR/+CtlRr2FB2az0eJowfwJykRvz2weGagxwfrznI6elYlIvThKwsrBYLLiCzZR4HZ6xm+uKNbKCGSpBb9VL8bElisOpqI//tld7oHeTeioMsefukPF77+T8xJSeNd7JTiP39Y4Qo5Lz7/fdrKRbDhqtOe6eBA7Qc5N69VVc7o2vXwAQ5S+6T6JeDrO/Tbx4cwfzUOPoUtCGyurYiUdM7nnRubXqc10GWyE1vqq7ctNOv3KgEWaJAR5AHd/N3kJV5N2CgejxhsG7lRk+QhwSad74O8shefdQ+DerWXSbIAvJ78K7cqOkx0DZDI8g56rzz+My7RL2DHBEZgCDXUfuUFNWIqsq8CxLkYAUrWMH65Uqa9DzOCc/hnPAc0qTnaV03mvJxz1Q4b8jaeVzzU+DuBl3+hQmyl2RdkUlQhXzfQHmseuLnl+/7o0iWniDH+qZY+Ocgn1cIsh8Z5dpNeUcvtxtulsqZzhVIli6PVZIU4udPsrzET59i4deniJpan1TSfo40q4XGpTY+FyTSQ0OJstlZ6XIp6Qy+pN2HIJeX07VKGAICX5SVqWR0Q3k53ZSLz/Hx9bmWmcplq5ldpWX0NJk4F2rl2RkrGeABB9CtTVO2tcsAt4eQsxfp7XCxP7w6Z212etmc7A6vwYr/LAxIkOPG9CavpJwt9SM4/I6WzhCqkNGQ0nJK/jUnIEGuYzIRApxwuWhgMmERBA44nSQoOch7nE6aKOkWXwjw5Jjecp/wkB4WpvYpo2oVIh1Oan13iI+PagS5k7KT3hplJz0BgT/UqcH/jO0LksTf/jOfpwLkII9Ii0VMjaMw1Mpz01eqBHmP00mukvxxyOGgudmMCBwTRVLNZpxIFDpF4pUc5EseN42MSp/G9iavWO7TJYupkvEUcusUC/14qnRF4pw8zislyEqKhT9BFrxz7Tbz7vAp+XyP2y9//DYrN25vekwdv/zxygiySyHI/jnIunmnS48JEmS5goTy3q7g3ydY/w1lnvJXRL84uP2DHiKtdh1mHNvL/Rvk1Blp0vOUl5cDEBb24yDHPUmQvSSrbUamjmS11hzkjp004pffQyV+I3prLuTofoOUYy9BlknWJD3JGjq8EoI8UKFXguYgGwwMztd20uvTsYuvg2z0c5CRyE1vppGsRGVHL5eOZDmdRIfrXMjqNWXipyNZiTpnNL1xvEr8cnz65HWQJfJbaykWTzTPZtestcxatJFiRzV2zFnHnIVfcrhmjEb8+g1U+1QwZrSazhD1p6d4v1Uz/p3VhO2fvctHuWm8nZNC498/qpLRj7Pbs2TpFjbNWE2pqQ4Ll21l2/RVXH36CWY2T+K5jpmE3z9M7dPZGwKzVmxj15SlXDldyszl29jz0RJSdOkMeoJ8+KsjTF+xlT26dIabHo/qatePrKsR5Lg4LFWrqnTV6yA3ysnmkQGdmNkkhhnPPqLmIGd06UKokmLRvUtXpU9fUixWV/tUYozkq7nrmb9gA1Mz22g76f3+cd5t3Zz3MpLZ9sk7fJjXlH9nNYG/vyCPLUHg6ht/ZWp2Cm+1TCPptw+qBHlmk0wWLNvK9umrGNyjp0qQtz7/JLOaJ/JU52ySe/SQxyIw49lHmJsez6TuecTk5qp9euWJCcxNi2dIQRsObT/K9BVb2f3ufBrVjlRXJCK9TntEHdWt1a9IpMdrBDknrWnAFIv8VtqKRJ+OXQKu3KgrEpLE6AHaeJoweJhuro3wO1ayj3XzbrTXQRYM8v0EAVZuCjp1Vu8DyG/dRhlbAm0ztRWJHDU9xuPjICeqKzei5iDb7ERUrab2qUaokh7TMJoqyryrbQmmWHjrXnP/giVX8O8SrP+Wck74M9Kk530eS1/wHsKHL6oXxwC5iz+kyozXqTLjdf9f8ZPXL5eD7J/vG6EQ5MKLsttrNPrm+1bmIB88IZPfQCQr1S8H2Z9kqbt7eWRSlhSrkKxCiI+pSLLOX4ZG9eRz7iQHudwuu8SVOcg2xUEOCeAgByJ+emf0jJcgG2m1ZRfrNu3BLAhstdvJtFqxCALTQwz8e2g+kQ6RVQ4HudWqUEN0E719D/8+U4RBEHi+ZhVenTxQ7tO+Y3SqVhWHUaDnsk38ocQuu7U2G10VMrrVZqOjctw3O5m1+XmKM3pBJe0bX/uENoJBI6OKW3vW5SJecWsvuN3E+DnIDsVB9hLkRg8PouOFq2yKrMHpD5ZUIMhnXC7qGY2EAIc9Hno9OICMK8Uccdj5dvk2zILAbqeTJmYzFkHgG4eDZsrxVpuNLKVPG2028qxWzILA+vJyOlitmASB16taWNG3A1aPh/XFpbSvUQ0Q2HSzhM7VqmA3GthWXEp+WBg3zSZGzl/LQ3Y5xWKrkoMsAt84HLRRMpHz2zRle7sMcLnZ9I9PaSPIRL1Z37YcTZfzog+++gnJBrl/ySPyyXa42F6vNt+9M091kKs+NgyxalhFgmwyVRxPVxWnXXWQFff/fJGvg1w/0tdBNhrh+GmIjbpzB3nfMUhX3P/9xyE9EEE+KZ+vrtwou1meKJRXbgISZK+DfE3n/ldGkHXzTu8ge/tUrhDkEJO84lNF7lOjKjU4fd8P3+Hp10aQT548SbVq1QgPD0cQhLv0zoLlX5IkcfXqVUpKSmjcuPHdfjvBCtYvUpIkcf+GRcw8vq/yk778BoCtb/2H1nWjf/Br3Ol3+M96gVwmOon87HVsTgdZdaLYf70Ih+ikTYNYdlw+j0N00jU6gY0XTiO6RHrHJrO68Dgul4uBcWksPXMYl8vFfYnNmXfyAKJLZHRyBjOP78flEhmXkslnR/bicrmYmJbNtCN7cLlEJqVmM1U5Hp+SxadH9+ASRcY0yWT68X24RRf3JTdn7okDuESRwQlpLD59BJco0icuhZVnj+ISRbrFJLHu/EncTpF2UXFsKzqL2+Ekp0EM3129gNvuoGndhhy4eQV3uZ3EuvU5UXIdd1k5jSLrcq68BHdxKZERkVwuLyGqWk1KXSI3bGUk1Izgoq2MUoeN9Aj5eeUOO9l1o9h3Te5T2waxfFN0DqdL9OnTE9Ub8Nbzb+IURUoG9uet4vPEFF3D0qcP973xLg6XiGHwYEyLlyC6REzDhmOZNw9RFPnud4/QNqwcl0tko6c2ef96D1EUsQwdimn+fESXi5DBg2HxYpyiiLl/f1ixAqfLxWt/e5oX7UW4RRcFjZuwsvAYbqdI6Y5zVNm0CbvLhTU3F777DpsoEtqiBXz/PWWiyO+fGEendVuYEVOPxd+fw3D2LNedTmpFRUFREZecTmrUr4f7ylWEhg0Iu3ETV3ExhsaNGZXXhF67D7KpWyfe/2A2os1GSLNmiMeO4nQ4kFq1ouo33yI6nTg7d+IZq0iL0+fZMWYEYWvX0eTCZXaPG0WNFZ/T6PI1Dk0YS43Fi6hzrZi6vQoY+MY7iKKIYdgw3IsXI7pEDPfdh3HuPOV4JIZ5c3E5RQwjhmOYvwC3KGIZNAjjokVyz/r1U/s05dknCPv8c3bVrMqJYQNZWXgclyhS+m0hVTZtxi6KjHr1jywqu4Lb4cS5dj8h+/ZTJopIzZpiOnKEMlEkPCYWlD61eOVxztlLcd8oIbJuHS6XlRBdvRYlorPCeGoaUZ/jJdcpdzjIqRvFvutF2J0O2jVszDdF53CITvIbJfLl+VOILpGCxk1YXXgcURQZHJ/O4tOH1Hk39+QBXC6RMU0ymHFsv25O7a0w1yal5jD1yG5cLpEJKVl8cnQvLlFkdBNlzooiIxKbMffUAdyiy2feFcQ1YdXZY7hEka4xSWxQ5l3bqMZsLyrE7XCS3aARu65exG13kF4vioM3LuO22UmIrMfJ0hu4S8uJiqzDBVugPjm4YSsnsVYkF8pLKXXYaBHZgF2DHrzj7zP1S/NXdoEsiiKFhYX/qyzgYP08ZbVaiYqKIiSk8huWghWsX2O5PR42XTxN5xWfAvCP3K784Zu18g/fmEotSygnvt1FTYv1B//ue+IC2cdB9tnR67Kvg9zAS5D1JCsQQa7EhbxTB9lLsjweOHoGkhsrDnIAgux/N/0lxUH2kiyvg1xcKhNft+fOHGQf4qc4yPoUCy9pNxrhgj/xkx3kvM27WLtlLxZBYJEBhv5uJBgN9Fm+mTn7ThAiCKy122kXasWEwBfl5XRV0hn+UqsK27u1BgHyVm/jpWuleASBtUqihRvYYLPRJSwMEdhus9EhNBQn0D8rkbVdW8l9Oqu52hte/5R2yg5xx5xO0rxuragR5OQRXcmxy2T023cXUE9JrvASZJskgSQRajBQ7PFgUVIsLrndZP12MK0vXOMbawhHZn1BCMpOeop3fEAUSTCZCBEEtkoeHhzfl+SbZSw3Cbi8uwweO0OLUCtRNjsr3C6yqlQh0i5SY9dBPj52rkKKxUqlHwKwqrycHqGhap/yw8JwAZsVB9lLkL196peVxLquefL4OKuRUT1BzunVimSLhV0RNVn+vuZq63fSu+7xUFch7dUeHYpYrYo8rhA0t9akJ6Oh8ry4UVx5ikVErYoE2esgK32isX/ahxEOHofkWDDcwkHef+w2BFmSCbW6cqNPsbigc/+LfB3k+sq889lJT5l3LjeU2aCG10F23ybFwutqG2lUtWaQIAcrWMEK1v+RmnLoO6Yc3oX5/30G/GpSLDxk63aIa6umWEh0bdWWELP3bvrO6q5wg/K7q4kMI3rpXMj+AwM6yBOHDq/UQdbyWAcpO8cZuK9PPzWbVXYh5ccLOmo5yF11DnK77Bz5WJLISddcyKYJifKxy0W8LsVC70KqqQMRdahZRXaQE6KiqWoNVXcF8+YgZ6cqKRaSh7aZObo+aWkfkSOH8Xz3VkxNj2PTGy+ornbXYcMINZuRgOSHH+Cf7TJ5v0USIS/+SU1neKlnP9Ys3sSKuev4a89+mENCMCInXXgdZNtLzzItK4VX2jRnxftv8GlmE15o34JaD0zU+tRe69Osl//IrOaJ/CY/l3+9/AdmNUtgQs9WxOTmqOkM+/Zd4NPPt7H7/UX88dHRzE6Pp1/fdlRXHOQSj4fQiAhckkT1Bg2wKDnIdePjOTF9LVOXbmL//guYrVZcQEJmJlblgj69dWusViseoH37DuyZ9QWfLdnIKWcVdTy9mNGSb+auZ9aijZQaItk2bwNzF21ganZbLcVi9Gi1T33HjVPTPvqOH6/2yfzCn/g4J5XX89JJ/u2DhCj5yBf++jSfefs0ebya9VvQUXNrM7t0UXfS235TYMbn29g9ZQkpGRkBc5D/8NgYZqfH07dvO+rVq6+MJ4fq1kaFR1KzipKrHd1IHk8eD+mNEwlV5lpOmi7FIiNb57RrudoFHbV5N7i7zv3X7aQ3uv8gea5JMN6bPy74zruJw0aorvZ47w6WgiA/V5mDI3pr6TGDuik5yIJAb+9OekDX1m11DnK2Ou+yU9O0HOTGCVoOcpTmIEepO+npHOTwSM1BjoqWUyw8Hmpbfzh5CFawghWsYN2dmtAkk239Jvxir3f3HORAeay3JVmVOMgGAfYdlamxIMD+o5CeCEhw4DikKlRL70Ie8yPICcqd9afPQ1yU/Pg5r4PshqLrmoN81UuQPXCzRCZ0bg+UlUONahXvplcJsi631j91QEeQ4xHIuHKD5VUsNLJYaHqtmGUWEwlWC8nFZSwzGUgJtRJXYmO54MEdJ2cf91m2iTn7TmASBN6zmnjskeFgNDBu5irePX3ptmS0u5pi0YCbGU24bAlhR1k5BUYThWGh7LLbZGfU7YEz56FxxT5Zz12moNzBroiaLFPIqAhcdLnkFAsgYUxPWhfb2Fw/nIP/nn9bglzLYCAEOOd2E2k0YkZ2naNDQjADB0WROCW5YrfTSUpICBZBYDUSvZ+8H4xGuqz9isU7DmMRBL602Whrscik3WZTHeTVNptK2leWl8t9EgRWKTnIHuCRqAg+HtkTPBL//J85PGQX1RSLZQXtwePBeOwMBRg4UT2MfXaHuiKx4R+f0k4hyMedzgquthM5BzlayUEOf2AApRE1K1+RKLeD2eQ7noxKDnL1qroViWpgVBzkukqKxZkLlRDk0/Lf1WSU50t8I40gVzbv0hOQCbIy7+6YIJ/TjacLupWbAOkxPvPOLX/eWnfqINvktI8Qkzxfq4SC0UijajU5PSJIkIMVrGAF6/9S/WpykI0YwOMhKyVNS2dokaXeTd8lr3VAkjWoe0+fFAvv7l6jK+QgK7vqDRuh0eRhCkFGYJz3jnsfkiUTZG+ixSBvigVQ4M1BFgTy22gkq12mloOco89BTkhSCXJCdIySYiESHR5ZgSBHhUdoJKtBFFWtWuqA1SwTv66NEzg4YzXTlm7i8skS9s9cwydLN3H1kpvds9fy6ZJNXL9pYufsdUxfspHjpkiVtOcrBBmgYOT9as/6jB6lkdGxYzUyOmECZmW3OD1B/jirLQuXb+XLWV9Qaoxk3optbJmxkpeat1R7U9AhcJ8KC8v57PNt7JqyhJQWLVSC3Cg9HUFRBw5tO8qnn29j13sLqdGggUaQlZ30qjVowKgxffksJZY/PDoac5UquICo1FQsitKQmJ2tJlcktG/HE3078GlqY95//Vn+2Lst09LjWPraM+p4qjV5PK/kt2RKswTOv/QMoSEheIAeI0dqPRszRuvThAlYlOzo2s//iQ/y0vl/uamEvPiMSkZPvvUSU7NTebltc2o8/rCS1CBw3FyHOSu28dWnn/NE0yx1bM185Y/MbJ7Ew91akti+nZqDnBAg7cPh8dCoUYy6IhEVYDxFR/qmM1S1ymS0aXySOp7klZtQeUXCL8VCy0HWzTtvDrJH8k2P6T9YHU/6/PGJQ5VdK/XzToBxg4Yoqw1+BLmXlmIxML+HOoZ8CHKr1go1hra6/PFsXQ5yWpyXIIskNIzS9SlCS7FQcpCjI+pQQyXtMVRRVmtqhQQJcrCCFaxgBStw/awE+aq9nPr+OchGI1z0cyG9DnKgPFajQXaQvfm+FQhyYxAMMr3yJ8iVOsgSHD0tO5VuD5z03k3vCeAgKykWAR1kJcWiVvWKBNkpyo6xKIKERpC9KRY3vakDRh9ntOGJsxybvQ6zIPC900miQkm9ZNSspDO0MJsxCwKLjAJD/BxkL0GePaAzNVxu6n+1l3cKL2NEzkG+HUHeoKRY+Kcz9MlJVtxaD6ZThfx/9s47Oo7q/Pvf2dWuqm31LlvVqrasYjUbq9kqtnp1N4YAIYGQQABD8gsQkhASWigJHRsDphhw78a92zT3Ilfce9GWmd2Z9497587d1cqQ9xzIm/c3zz/M0VlAfriP0Pncz3yfBknB/n4B2C1JjCBvffpd5BmMEKHgBM33lQCckWX0p4kMV5xORHh5wa4osMoyAo1GWBUFiqLAz2DAVVlG+i/bMOLUBWzo549DMxbBDEJaI2kOcpfDgRiag/yl7MTQhyZ/73nK9fFBrMUGYd8RfLDrCCPIZZQgL7FaMcrHBwZKjav9/CAAeCAiCC/fWt/LeUoCZBmGg0dRJ3jhO38fTHt/CVpkBSKAqpIshEeEYl9gAKjl0bsAACAASURBVA5ZbWiwS9gZ3BcfvDEXQyhdPy5pfTrrdCLOaIQEIHHKGAy/egNro0Nx2ttMzosokeFyd9o5MorL17RUlN7c/+O0T73lIBsNJDc8ic7dnsNkXowG4hpnJNFZU1Msvs9BTqLpMcdcUyxS3Amy022T3iUgUnWQ3VIsgsgvwOi2aQ6y6OjZJxeCrM3d/0YHWRCE8wCO/ae/D7300kuv/2ANUBQl7Ps+9KOnWITPfAYW0Ya88FjsvnIeNtGO4dHx2EZTLCrjkrHuzHGIkojRA1Kx7GQXHJIDzUkZWHDiICRJwriUbMzmUixmde2CJEm4LSMPMw9+C8kh4WcZNMVCknBHJn2bXqJJF4fI2/ST0nIxq2snHJID4waSZAyHJKEtKRNzjtO36bl0hlHxA/EFe5s+EZvPnYBDFJEfNQBf0RQLl7fpwyNx5PoVOLutiA0NI2/TX7uB0NBQXLDcQExAIG44RVy1WpAUGIqzNHUgMzQSR65dhkW0Iz8iFpkbtqB07xHsG12Fp//xNiRRhGn4cGDrVvJcUQGsWwdRknCtpQnRmSGQJAn/8IvCr558DpIkwdjaCseCBZAcEvbffQeWfrsNJosVhWWjcMsL/4TocMA8dizw6ackraKjA/j8c/Lc2grMnUs+09AALFrUI8Xi5L5LCFmyHA5JxK///BCmd5+HQ5Qw1T8U5Z8vwqKYELx7ygLTzl2wSBLu+81tKFu1HrMGRGHezhM9UizOiSLCQ0PhuHQJXlFRsNtscFy7CiExEX6nTkPq7oYpNRU4dgySzQYMycYdyaEo3XsEa9sbMMt5o2cqyoBULKXn6fE+UXj0yRdgd0gwNjbCd/4CSJIEE/9n5XswdiwwezZEhwPrH/41qk3X4JAk3JaRz1JRJqWRs+iQHDhwxon+H86GUxLhW10DYflyiA4HHNXVMK5eDYckAmVl8NqwAZIkISAvH/jqK5L2kZ0N7NmDbkmCf1oa0NWF65IE48AUGI8fxxVRQuGT9+A7WzecV28gJDQEF63diO0TiOsOcp6Sg0Jx2nID3XYbskIi0XX9MqyiHfkRcdh58SzsDpqKcv4UREnEyLgUrDl9tEefWpMyMe/EATJ3A7Mx+zCfHkNmZ2p6Lt47tJObu6/hkBy4PSMfMw6SubstPR/vHurZp3EDB+PjIyTFoiUpA3OPH2CpKEu+64JDElHZn3xvDn7u7CLyo/rjq0skxSIzMgb7rlyA02pDUngkjl6/Ame3BbFhEThtuU76FBaKi5ZuxPUNxDXJ3mPussOi8fX/shQLvfTSSy+9flj9+AT5+3KQPaVYuJAs6kIme3IhDxEy9X0OcmYyzUE+TMiXUyEkK1UlWSc8E+STZ4H+Ua4bvdwdZJ4g8ykWfA6yJ2f0WjfgR51RPnXg/CUkQ0Du+SvYI0rYtnADzIKAr6iz6k6QPzMKNMXCiLoFa7UUC46M/i3AG8vqboGPU0HK2h34+7mrEAAs7e5GLSXIy61W1FBqvJojyOutVpTTHOTG3IEIGBCNw3398KeZi1CjCBABlJblIqFfAHaG9MU+p5OlDuz563SkGggNjZ1ciwuxEYDTiTNPzUAEpclWLgdZBuAnCLgiy/ClDvI5pxOB1EH+zuFgm/T2yzIypk1hG+LSDEYMunQN83y8kOzji7SrNzDPS4BEt8JVrNiC+Vv3wkwd5GE+PjDRP7cngrzYYkEN3dLz2/B+2F+aD7vRgLXXb6DW1xdXzV7YdKMbY0xmnPMx466Pl2OyJJMcZJsNw318IAL42m5Hgbc3RAB7RBE5ZjNJ+/CQFy0COMu52pdlGZHuKRa9kdFrN9iGOBcHudcUi9PkPBuN5AYlLsrVQb7Z3KkEube5U7i5U77v5sZTesxZjiBf1nKQXebuOk2PUR3kADJrDg/uv0sOskbaB/QJxNH/ZQ6yXnrppZdeP6x+VAfZh3OQc9MymIM8LCePeceVxcNYikXtiHLmPzaNrGb+Y2edlmIxsbGFupPAVM5Bvo1zkG9TN3oBmNraSV1IYHIL50KqKRaCgJaqWuaVuqRYlNxC3rKHgOHqJj1ZQX6G5iBnJSZrDnJsHIwgm/RiQ6kzarNTF1JGTKj2Nn1iTAxLHchMSIafj+ogp2DP+8vw9vx12HxZZp5tXkUFfM1myACKa2rgazbDCaC8QfNER3W0w4/2oJZza6eNbsTyz9fhs89WYeKESXh52BA8X5CB2EcehNlshgFA/eTJMNGkhtoJE9jzqM5Oti1ubsxAzFq0CRtnLsbeab/CuzmpuG/UUCw0B2Pm4s3Y/vYCtKZmwMtINg4m5+bB4OUFp6IgKS2d9smJsMREwGhEtywTB9lgwDWnE5Nvb8GMjHj8/O6x8O7bF5KiIDwxkTnIcdRBdgJIzs2BN/VpWwdm4NsPluPt+etw8awTX324HNPnrcVRuz87T6WNjfCjfvHIzk7mIPN9qp+sbRxspCkWAoDnRo7GgnnrsejjlbD2HYDP52/Asg9XoNs7GrMXbsSqWctwa20dvGjPSpubYaTpFsW1ZKuegf43NNB/ZlZJiUcHuX9mJnO1H/zVZLw3OAV1TaWIiIxknq3q1saGhqOfX890hsykFPiYyazlZWbB29xz7kYWD4fZW3X/K5mD3KI6yIqCsVyKxURuM+MUbu5u79Dm7nYuxWJqW4fm/je2Mh95bB3nIHPpMbUuDvJwNnclOXls7nI59z8zKYWdJ5YeI0mICQkjM2i1IbQveXk2NkzrU1KslvbRz+T9Y/zY00svvfTS6/+D+s8R5LBgQqZOnAGiQ2/iIPMky82F/LcJsrpJTyF+ZVrCD3CQVYLMv01/BQgPIaRY3aTHkyyHE7CLhFS5ED+OZKmbz1RnlKZYxHSdQNdHK2GCazrDV6KITJr765kgG1C3YB0+pgS5NzL6hyB/PH1nCwABD73+KZ6kOcg8QV5ltWKUB4K8xWbDLZSMVpdkISIiBPv6BeDld+azdIaC0cXIMJnxZVgg5r7+GdIoQU4dOxLFVhEbokKw9Z+fsnxf3kFOuLsFlacuYFVYEA6/ORc+NMUi0GBgDnIEzTveKzvRfEczcs9fwW7Jjq2LNsMsCPjSbkcW7dkyQcGjE0cj8YYV146fwrzt+2ESBKziCPIKqxUj/HzhBQHLLBYXglzl7w+AkPbRbqS9h6vNbRzk+6QSZAnAbo4gH5QkZFKC7OIgU4IsAQi+qwndoUG9p6L0diPBnSe2Sc/oRXK1w0Po3J3mXG1KkL2MJB88oZe5S4snOci7DpE5Ut1/TykWe+hWPX7uWHpMPLnFOfIdyUGWVQeZpqKcOu9h7mQ6d99zc/N9+ePqJj2dIOull1566XWT+ukIcnoGvL0J8SvJyYPJbAYUGRVFxYxkjSnrhSCPaSCESwEmNbVqJKuVI8gdYzWSpeYgA5ja2sEI8qTmFvY8tr7RjWSZAMHg9ja9loM8PJcjyJk0B1lRkJnsgWSJImLDI3oQv5jQUPY2fVJMHCNZGYnJjPhlDB4CbzWdYfgw/LK5HG8PSsL8//m1R4Jc1tCo5SB3dGhkdPx4+FJiWj95Mnxob5pvncpya1umTvVIkEdPmMASLXiCXNbYSMioomBJQBTeW7QZm99dhNJbRmj5vleAGUs2Ycdb85CeraVY7N55Cu8s2YyvX5uDCEqQLbKMwBjyy9gNWcax2evw+oL16FqyHT6UIEckJsKbEuSYrExM7azC9MxE/Ou3d2L3+8vw1oJ1WHPdiHuayvD2oCQs/MNvWJ9qyiux9eMv8O68tZgXlcIyokd1djLSnvaLu/BMWR5ezk2F6bFprE+x037LSHvcIw/06JMBrqR9ZC99UgmyoCguBHkQR5BTcnMZaVcJsl2WMUBNsRAdhIwKAmCzIYSdJy7fNyYW/uqNRJJ2nvIzsmj2MckfV+eusngYm7vRZRUw0blrrqpxIchs7ppb4GUmz7e2dZBbH3DUGJQm0xSLW7m5m9DUwmZNI8gCWqpq2NyNHlEBLyOhzJVFJWzuhrH0GELDVYKckZgMo0BubhLVFAtR1Ppk5foUEuZC2tU+9TPrBFkvvfTSSy/P9dOlWJy7TEmWhw1x0eGEUvWWg8xSLDy4kOmJ5Lm3PFYXkqU6yHSTXlq8RpBT1Bzkk0BiXM+36XtzkD3lIEuU+HlykH8AQT70EUmx2CE7UUDTGQZt34sty7bALAjYYrcjRyXIBgEdD2gO8g8hyDtGFgGCgNzlm/Dk5W7IAJZbraiiG+LWWCyMIK+zWlHu5wcRwDarlZHRL+12FNLn3aKIXNWtFUVGRo9JEpLp82mnEwO8vCBCwRWntiHOqigIVB1kmmJxxemEj8EAH0HAGZqDbBYEHJWdSJw2xaVPJppiofZp8Pa92OyhT+tsNhTQ7ONVViuGU4L8Tx8vzG4qRz/JgbCtu/Cv4+dgEAT8T5A/vvTQp2VWK6p76VMZ3T7o0idRRKHqINvtyDWbIQHY75CQZTL3SPvwSJAlByGjfr69p1i4O8h9ArgUC3Xu+PxxzkE+/B1x7W/mIO/p6pli8X0O8g8hyD1SLGTg5DnO/b+obdJz2WDZzRFkC9DXbe5udnND+6QTZL300ksvvXqrH5Ugexu94EXpT25GBnx8vAFFRklOvpuDTOjV6NIy5kI2VVUzMjqWy2Md39jMuZDtjHDd1jmW5bHe3q7lsd6qbtITBExu1nKQx9bzLmQNo8ajyyoZyeJdyOFcDjJPsjKTNZKVHNefbfeKDaUupM3OcmtjQsMYQU6M0UhWRmISI34RhQX4WdtIvDUoCa88cT/rU355KXy9vSEDKKmtZc/ljVpvKtvaNII8bhwjpvWTJjEy+qfqOiyctx5zZn+BP9fUw0xJsemxh/Fq0SD8edhgpP3iLrIhTlFw+slH8NbQDPyuLA9Z48cyt3bD47/F9Lw03FtVgFf//jvMyE3FHbXFGDh8OCOjA/M0B/nJ3/4MM7MHoqmxlDjIBgPRK6KimIPsR3OQ+0VHY8KtjXg7MxH33X8rJk4cg3cyE/HoQ3e59OnOtkq87danoWVlWp8oaZcBlDU2Mmpc1dHBnu8d3YCVn6/FR3PW4LWSCtanP1fXYeF82qdqrU/mx6axPqX/4k5G2k/9iWzY+11ZHrLGaX1az/UpvWoUDF5eUBQFMx+9FzNyUjF5zDDED83XCHJGBgSag8wIsuRAjLqZ0S4yMhrLkdHEmFj4+1KCnKht0tMIsoJhufzcaQ7y6PIKjw5y5xjN/Z/U1MJm7dY215sbE3P/+blr90iQOzmC3FSl5SCP5m5uKotLyHwBGJZDN+lBQa7q/ssKMhKTuA2W2txFqznINhHB6sbB0DD09dNubtQ+9TPrOch66aWXXnp5rp+QIPeSx+qJZP1QB5knWd8eAAalwCNBVt+mVwmyrJDtfGk0xaLrBCFZsgwcO0036akki89BDiPPlzwR5B/gILsQP3WTXi+5tUYDIX7hxNV2J8jZ3t7UQQbG/oY4yGMWrMNHu4/ABAErLBaUU4K82GpFFSXIiywW1NINcYssFtTQDXH3xIbinfG1gKLg+Zc+wi/ohrixGQOwoH4E4FTw4bPvoVVWIIHk+0aHBWNfYB/st9vQbJXwbUg/zHhzDnKpd3zM4UAKTWSImTIaF2MICTz11AxEGY2wUQc5yGiEhZ5DP0HAZVlG8MOTPZN2j/m+qltrwKDte7B12VaY3Pq03mpFkRtB9qKkvZQ6yEstFoz084MBwJLublTzDrKfHxQAP+8fhunjySa951+chV/aHHAA6MhKwAK6Se/D595DixMQAVQOH4wtw4cAThmrn57BXO1BDcNxKJPcZvBpHy4E+c5mdIfRTXqieHOCzOdq8w7y2UtACN8n6v4fPw3EuKdYGMjNSmIsed53hNysGA1kjtISOAc5qecmvZ0HgEEDeyfILMXCU3oM5yCfPO9KkG/qILulWHgi7d1W8le3FIv4PoE4ohNkvfTSSy+9PNRPSJAzNQd5SC4jWRVFw1xIluogN1ZqDnLHmHpGkyc2ayRrigvJUjd6Kbi9YyxM9A36Ke3tjGpNaOLepq+vJ5v0BAHN1ZyDrG7SAyVZ9HlYXj6lyZQgCypBTmHbvRJjYrUUizCO+AWQ/5FHc8QvITqGkaz0xCRG/HIzsuDtQ1I9SnLyWG94gpzZ2IBHRg/Da9kpWPX3x1hv+vz6bvxpZCFezk1F9x8fYQ5yA0eQm6ZOJekPAEL/52G8PCwbTxcPgtfjj7A+HXruj3itMAuPleag769/yYhfRVMj8WwBLA2IwrtLtmDju4tw6YwD05dswdZ3FiC/oFAjyDSdwakoSEpNZa626iDbFAVBdJNetyxjws9a8VZmIu745XiO+MW6kHa1T3mZWTDT8zRMdWtlBQVlZfCh1Jjv0+4/Pqw5yO3trDdpv7gTfysfihfz07Bq+ot4tjQXzxdkYO3MV/CP4UPwTGEmYqc9ADP1iBsnTGQ3EvXjxmsOclsrO09f/P0xvJWfgQcq8xEyoZOdofyKcuYgZxcVsfOUnJPrmSAP0FJRXAhygObWsj7FcgSZc5DzMjO1PnHnqbJkOOtZbWk5O0MtNdoGy7H1mt8+oamVzZpLikX7WG7uxrG5429uJjZp7n/HmDpt7piDLGB0qeYgVxR7dpBzM7S5y2DpMeQ2xhNpZwQ5PILrU392nvrqDrJeeumll1691E+fYsHIKCF+Hh1kLyMhTQnuJIu6kPzb9OmJ9JlzIXslWTxBPkpTLBRCsgYOIDTq2CnNQeZdyLOXCHFzOoELvAt5o6eDzBM/yUEImbe5Z26tBwe5J0FWyehebF6+FWZBwBJBQf0DE1375GUk28so8WufvRIzDn7nmSDTDXH3h/fD4RF5sBsM+KK7G/Xe3rhqNmFddzcavUw45+ONjVYbI+0fPvse2pyEIO+w21FE3VrVQZYA7JckZKkOMkeQ0ztHYpjFjvXRodj4r08ZQbYoCoINBlgUBcl3NWPk6QtYGhkCs8GAslMXsDisH/oYvTD89AUsCOmLEJMJRWcvYl4/f0Sbzcg7fxlzAnxgiY2gpH0PNi/fxvr02IRaJF3rxuUTZzBvB0mx+II6wl6CgFd8vPB5Yxn6SQ7Mt9tR4ecHH1nGou5uVAUEAIKA7GUb8acrFsiCgLt5gsyR9vHp/WEaGI8TAb7YarNxTvtpIJFsiFv99LsaQa4fjkODkgGnE7v+OgPpdPvgGYfmaofc0YTuMOogi1LPG4leyKgLaecJ8slzQASdu+NngBiaYnH4JLkpcT9P+3gH+RAhv0Y6axncrGWluM4dFLLlUp07daueUwEOcnN35ITHPrk6yJc8EGR3B1lNseDSPm7WJz9f3UHWSy+99NLrpvXjE2SB0J+cdNVBVrQUC1lBeVFxTwdZUdBUVcNIcQfnIE9obHZ9m54Srts5F3Jq5ziYzJQgt/IuZCt77qxrZGS0ubqG0asx5ZqDXFkynDxDwLA8LY81LyuLEC5FQSb/Nr2agyxJhGSBuJChfQMJQQ4NZySLd5DTOQc5JyOT9WlYjkZGwxrH4DcNI/BadgrmPv07Le1DTR2QFXTUaaR9DOcguxDkW2+Ft8kEKApeqKjFnAUbMG/2F7AGxGH2ok1Y9PFKWHyi8OHizVj20XI8n1PEiF9FQwNLZBjG5fvm03QGRVEwuLhYI8g5ORCMRjgVBbt2ncKby7bgq9fnICohAaAv6d31i7GYPmQgqppH4Mhn6/CvhRtwbOFWdH34BV5duB4nVu/GgVnL8eqiDTi55TD2vr8Mry3cgNO7z2LXB8vx+sINOHG8m5HR8KZ61qfdD9+LzZ98gXcWrMf8qGTmI1d1dLDs41/V1mPFnHWYNXctbAFxWDx/PT7+fA1sQUmYv2ADPvt0Ff5S28BSLBomTGRn6OBzT+DVoiz8oTQHz+WV4P0lm7Hqg6V4IruA0GEBGF2mkdH8cleCrJ6nv/z+XkzPSUVH/Qg8PO0uTB+SisamUkQkJmhk1OVGgpDRmLBwFzLqp6ZY8KQ9i5J2p4ySPG3uKotLtLnj02P48zSmTpu7plbOQe4kqRds1ugzlz/uMnfNLWzW3B1k1qdyjiBzc1fMcpDJLZTas/TEJNcUCwiAKCEqOJTNHUuxcOuTStp1gqyXXnrppVdv9aMT5Oj3noXoyUHu4UIaXB3kA8eIC+lCsqgLyUgWdSF7I1mKQrKSVR+5B8lK5BzkAdRBPsU5yOomPRk4ewGIiaAEmeYgO53E/QyhDnK3Dejn5kL2lsfKpw5c4gjyeXe3lu9TRM8+HTyGQrM34iw2fC47UeTni3C7BNPOA3i76xRza1WCvNBiwWhKkBdaLBhD832XUbLsBLDSakUVTWcYmzEA5hRCRn8zaylaZQUOuBLkbyUR+WbyfFAUGUE+4nBgoMkEEQpOO52IN9IUC4cTEV5esCsKkm6vR+W5K1geE4pD//qsR4qFxxxkAIccDgygz1/KTgyddivt0ylke3kh/coNnDh/Ccs37IRZELDWZmMO8hdWK0r8fJmrXebnBy/g5n1SHeTYUFwamoWrZhPWdnejyURI+9TZKzBZkuEAMCY/FatGFQFOGeauE2iRZOwNCsAL0xdghGCABGBobREGe5mwIzwIJ0URjVe6sTkyGBckCfUXr2NddCiOmry488SlMygAvN3JqJbvi0vcJr3zl1zzx9l5OkXPk5HcoPSPdp27mznIO91va6j77zJ3XcAgN4LsfnPTdQJIpQT5+CnqIHvYYBnlyf2/QdI5XNx/B2D3QNotVppiYXLpk+4g66WXXnrp1Vv96ARZpT85GZmMZBXn5FJ6JaOiuITQXllBbVmFRpCrOZI1up7Rq4nNGsma3NrOso+ndmgk67bOcZyDrG30mtjc6kayiBvaVF1DKSkhfqozWlE8jD2X5OUTYqUoyMsaRMiXSw6yjKRYmsfqcCCapVhoJIt3kBOjNWc0PYkSP4VQMkb8OGe0ongY1yeN+D0+uADrPl2N6fPX4YYQglWfr8XMeWvxeOlIPFVZgBeGpsP02MNcDrJGkJunTNHI6OTJMFE6PGbcOJbO8FFKNt5bshlfzFqKjqpqeFFqPKymhhHkBX+4H2/lpeO20SVIHT6MEeQXH/453slNQ3vDCEx7+Od4OycVDU1lLMXCJss4tPRLvL5sC7a/9jn8goMhKQoCo6Ph06cPyUGOj4c3jVXrn5EBbx8fOAEMzMlhedGDiorYebotIxvbP1qJNxesx/KAKEaNyxsbGVHPmjoFT44swkt5aVjy9vN4qnIo7ZOWg9w8ZYprn2hvXi+pwCeLN2HhJyth8Y7CrEWbsfSj5bitZgzzkcsaGhgZPSb6Y/rSLdjw7mKUDb+FkfbNlxW8tWwLtr09H6d3ncGby7Zgx5vzcHLLEbxBSXt6ZFTP82QXEdyHJ8h+LMVCJcjpScku58nb14fdSGgO8i1cDnIlm7vmau3mprNey0Ge0KTlIDMHGa7u/1QuB3kyl2IxnnOQeYLcXFNLqTFQW+o6dypBLsnR3P8clSA7ycyoc5cQrRHkaHWDJe/+h4ahr18AJchxrE999E16eumll1569VI/cYoFl8fqaaOXGxnt6da6u5Ccg8yTrG8PAIM9EWSaaOGkJCudZrMe5gjy0VNAkgeCfOYCdZBlbZOei4PsJESvL/kfMUmx8POcOuBlJA4lI37XgH4eHORT54EID6kDXJ/KVmzGgu37YQJJZxhBKenLPibMaSxFoORA0LZdeOW7izAAWNzdjRqazrCku5uR0SUWC0b7+sIhCFhptaKay/etoM8b7Tbc4kO2xX1FiawEoGDUUOzMzwCcMrb+dTryaCJDUkclTibHAU4ZgWcvoOHCNayLDsXGVz9DhMEAOwAbt0lPcctB9gZwTpY1gux0IsJoJARZkjDAZIIJwA7Zidtua0D2xWvY392NdSt3sBSLHLMZJpqDrBLkGSYDfvbr8aSXuw8Romk0YMoHi/HqsXMaQfb1Bai3rfZpqQfS7gSwlutTfc5AhMRFoKtvAB5/fxFqFAEigF2iiDyaF73f4WCk/agkaaTd4UQ8c5Cb0R1K/XZR4giy4uq0q+dJTbG4dJWQ5+9NsfB8I+HJaXe5uXEnyB5vbqiD3CM95qh2c6POnZO/ubmJg3yBOsgy7yC7EWTRE2m3kPnz8gKudzP3XyfIeumll1569VY/WYoFcWsJsSpmDrKM8qISRrJqy7gUC+YgK2gfU0+cRzcXcgrnIE/lSRZPkNs0gjyBJ8j1DYRqGQQXglxbVgEvA0eQDe4pFkBuZha8qIOckcSnWMQRyiw5EBNGN+mJEnNGo4JDiAspy0hUSRalYb7ePoBTRk4G52rnuhJkvk9qbwJ/NhWP1gzDy3mpOPnENJaD/KvaOiyfuw7vz12L++pb8HR5Pp4pyMCamS/j2dJcPF2chbhpD8BsMpF0hkmTYDKbYQRQN15LZ6hqa4MXpae7n3gYrxdk4r5RBchqrGc+cmFZGevToKJiRknTs7NJP2QZJ7YdxevLt+LLN+YiMj6ebItTFJaD3O10agQ5Kgo+AQFwAIhISNAIcmoqvOkvpDxBHlpQiK8+XInXFm3AWoc/S7EoqamBr7c3FADlDQ3ahr3WVi1Xm0tFaZww0ZW0m80QQGiy2qeGSZN6kHZBUVz6ND8qCTOWbsWaD5ZgTFkFI+1Dy8rIxkEAMx69B2/lpWNc/XA88fh9eDs3DW2NpXjo0bvwVm4a6pvLEJEQT8+TRPJ9KUEOobnazGmXZZcUi4ykFHaecjN/wI1EKTd3o6rZczu3wXJiE58e00kJsoJbO8ZqPnKH682N+h4AT5A76hpYkkzDKM1Bri2roM8CJcgkf7w4J5edoZzMTDJ3qoPsTpDVHGTWJ3XjYDghyLKMpBht7gJ0gqyXXnrppVcv9eM7yO8/B9Hp8ECQe8ljVTd69UaydvPJFb04yCpBhkI+Myilpwu50X+9eQAAIABJREFU/wiQTnJo0aVu93LbpPfdOWAAT5AjCL3qbZPeDQshdw6nax6rC/Hz0kgW23xGUwdUgtwjdUDtEyXtXd+R78vLSIhcYhzgZcTo+Wvw8e6jMEHAcs6tfTrAG+uqS+Ary5hvsaDW3x8QBGQu34Q/03SGpdS5dQJYwRHkNTYbKnwJNW4akoLQuAh09fXHH95fjFpKRgsZQXZi09PvYiglyMnt5TiZTDaldT31DuLp1684nQg3GiECsNAcZJ4gX3Y64SsI8BYEnHM6EUipseogmwUBBxwOJNCv7xZFpJhMZKue3Y5Mmn28yW5DrtmbOcgllCbPMAmY0ToS4TYRnzskyBnkPLkTZBfSTl3tpfTrDgCrLRaMotvzNlgsrE+bbTbc4uMDB4BtdjuK1Y2DNhvyqLddUFOIIV4mbA8Pwl6DwM5T0OkLaLhESPthbxM5F+7nCeDcWpOHGwnOQT53EQgJJM+nzgIRoR5SLDw5yEZCftncdQHpvTjI7nP377j/A90Jsgf3XyXIHvPHZXpz8wP7xM2dTpD10uunLUEQjgL4maIoK/7T34teen1f/fgOsiAAThlD0jMYQS7KyWUkq5wjozWl5YRMyQoaOJLFcpAV6jNSF3JSS5tHknVr51hCjQFMbtdcyHEcyWqv4whyzWjNheQ26ZWXDGPUuCSP5rEqCnmbnlKtjCQ1xcKJxLj+bLtXVEgY8yJV4hcVEsZIVkJMLPx8CclKS9Ac5ByO+BXn5nKkvVgjyOUaQeZJe8B9v8RjVcV4IT8di955Hn+uLMCzBRnIvfsuLFywAbPmrIUtMBFzFm7EJ5+txl9rtHSGxokTGQ2tGzeOEeTTjz+MV4uy8GBlPt5OysSMpVux+oOlqOPIaEFpGXNGX/7jA3iDktHwokLWpwFp6TB4eRGvODERgpcXbLLskoOsEuSgqCj49O3rQpCdAGIzMjBpfC1ezU7BCw/fpTnIxcXwoRnRGVWjcG9TGV7JGYh3XnwSv627BS/npmL34w8ymnxb9Ris/HwtZsxfh28jB7Lz1MAR5Lhp9+PZ0lw8VTwIcdPuZ30yPT4NLw7LxuMjhmDROy/g5ZLBeLQsF5lTp8CL9qy8oYG52usffxCvF2TirtpiZNBNegCw5ZKMN5dvxdZ3FmBkQhLr0/HtR/D68q3Y8cZcpEdEsfPE3FpRYvm+0SFhxEGWZcSrDrKTy9VWZORyedElXF50RQl/c1PJ3dxo+ePtbJMenR117traXVMs+GdKkCe3d7Ln8VyKRTvn/jdWVbO5qymtYLNWXlTCbiSKc/OZm5yjzh39M6pzlxAb67FPQf592Nz18fNjWeV+vrqDrJdeeuml183rRyXIl2xWRL73DHGQVRfSSF1IlzxWDykW+48CSXHk83u7COE1eCBZGUm9O8g9CDJ1kN1dSJcUC08E2Qmcufg9DrIbyRI5B5kRZBslyK4kq0fqQHA/D8SPI+1d3wHxbqTdnfjtOkS2lxkMmPzBYvzrxAXmIKvpDAssFoymm/SWdXdjtK8vnJyD7ATQmTEAvsn9cSLAF/d+uBxtNMViu92OYuog31KWg/QAf3wT2g/fKjIQHUFitE6eRfPlbmyKCsbi1+cgwUAygHmCbOUcZFlR4K8SZNVBpgTZDOCo7ETNnc0oPn0Jm70EfDN3HUwAdkkSBnp5EddYkXH/lDpkXL6O2WYDBvv4IPm6Bee/O4M5Xx2ECSTFotTbG16CgJd9vDC/oRSBkhP9tu/Cv46fh0EQ8LtAfzxzVwsAAb997VP8+Uo3ZJBNejNoDrJhTxdajF445+uNSZ+uxK00xWKjzYYRlCCPKs7CgNAg7Anqg+dmLMAtNMVivyhiEM2Ozm4agSJJxqaoYCx6Yw4SaCZy6B1N6A4NdCWjdpEMl/uNxNUbJL3B/TwxguzmtB87BcRGkq/zNxL83LmfJ+b70+157hsse0uP4bPI1Zsbmd7cDIzveXPDHGSZfP9R4eTzF654zh+3WDnSzjnIwE1Je3yfIBwZd98P/nmmlk6Q9dLr/650gqzXf1P9qATZbDRqDjK30aswJ5c+KygrLGYuZE1ZuUZGqzUy2lbXwDZ3jWtqhomSrImcg3xrRydzkG8d28kI8qS2jp5v0wNoH9PA8n0bq6o5B9mdINO36fPy6TNxkNUc5PQkjWQlxsZxJCtcc5D7qAQ5VCN+XIpFGpc6MCRD61Nxbp7WJ27jYE05R9pHVmnEr05zRse3tLI+GR57GE9VDMXfirIQ8rsHWTpD6O8fwnMjcvDk8MFI+c29MKsOMufWfpw0GO8u3YrlHy5H58hRjIwOpykWgqJgrRyAN5Zvw8YZi9A6MIOSdhkn9p7Dayu2Yvtb85GYmgpBJcjUQbbJMgJVgux0wj84GA5FQVBkJHz69CEEmUuxSBiYit0frMA/l2zEl8euwdtshhPA4MJC+Pj4QAZQNmw4tn5MfOTLV72wcfZqvLFwA95OyMIjtcPwj7w04mrTRIv7auqwdN56zJy7Fq8XlhKCrChonTKFnadW6iAbFAWN4yew87QzIgXvL9mCxR+vwO1VtaQ3ioIKjiAv84/A28u2Yv3MxSgrGQajlxegKMimedEKgK+OXmV9euI3t+PNvHTUtZQjPDHB9UaCZiIHMwc5DH1Upz1O2xDnkoqSmQVvbzJHxbnazU1FyXDNQeZuJJpqal0IMnOQW9rYrE1uVzfpKZjCz13HWOYdT27r0AhySyvbmNfOOciNVTUaQebyosuKVPdfQdGQXHaecjIz2dyl8QQ5RiPIkSEhWtqH6v6HhBKCLMtIjI2FnzfpUwD9GaGXXnrppZde7vWjE+So95/t6SCfcndrubfpB1AyyruQe7sIaerNhTQIwDf7Cb0SBODb/cDgVEKvdh3UqBZPkHmSdYiSrB4pFmeIm+kpxSIihDxfuUYInUN9m96/Z4oF7yDzOch0oxcuXgUCVeLH9enkOSCS9unYaSD2e/q07zBxOg1c6gDdMljl6wNfp4Ko9V/ihXNXAUHAb8L64uTwXNiNBhQv3YiHb9jhBLDKYmEEeY3Viko1xYIjoypBVtMZcs1mOAAU1BQhx2jE9vBgfPD2XGQZCCk+5XS45iB7cJBdCDJ1kM86nQjiHORImn18UJIwgPrIO0URqWYzzAB2iCIGUR95k92OPOodzzYIeKlzFPrfsKL78AnM2nMUXtTVrqRb9RZZLBjl7w8DgP8J9MMzd7QAAvDb1z7Dn690sxzka3mZuOJtwuj5a3CPzUHSPiwWjKQO8iYPfZIA7OT6tI8jyEclCSk00SKzoxIjum1YGx2GLh/qIDudNMXCk9PuIcXipufJw40E7yD3enNziNy4sLmjNzcqQRYAfHvQ1UH2eHNzBEhLQk8H2RNBpjdP0WE9b27U/HGHk6TDsD6JgJ8fmT9B4DbpUdLO9Sm+byCOjNUdZL30+qlKJ8h6/TfVj06QVQc5Oz0D3t6qg6y9TV/GvU1fXcaR0apqF4Js8lYdZJ4gtzOSdevYcZyDrG3Sc3UhWxlB7qhvZCSrqaaWPddW0BQLASgvGc5IFk+QczKzNAdZzUGWZeJCCgZAdCA6TCPIhPjJxIX096cOcpwLQfahqQNDuD4V52m5tWUlw1xIu9qnxlEaQW4bU896M76pmRG/TwYXY/6CjXh/7lq8VF7D0hleLKvGJ4s34dPPViPv7jvxj+FD8IfSHKTddQcjyNWtrSydQSWjgqIwgqymMxhZvq+M11dsw+bpC/DKQ3fhtfwMtDSV4sFHfo7XVTKakEAIMvWN1RQL/6Ag4iBHRjIHOZJzkAekpbEc5NQhQ+BDn7OLiuBDafLQ0lL2PLyqinnHnSNHYfVna/Dmog14IbsQf6guxnND02HhaHLyr+/BUxVD8deiLFz/+x/peRLQMmUyS7F4vagMs5ZuxrzZKxF73y/xUkk2HinPxaBbJzMHmSfIw6urCWmn35vaJ0aQFQWpQ4aw7OidO0/i1RXbsP3NuUiLiGLnKVJNZxBFdp4IQfZjZ091a9OSk+BjpqkoPc4TvZHg3X81FUVW0FhTq6XH1DUSZ1kBxqlpHyAEmd3cMAdZwBTV/Rd6v7lpG8MR5FHVnt1/LsWiKDfXde5UgpycpM1djDZ3USHhjLQzBzk0lJF2vk8BXrqDrJdeeumll+f68R3k95+B5HQCZ3t7m54jyF0ngPgY8uzxbXojIcLpvZCswaqDzBNkSrJUFzKTZrPuP0r+OT0I8klC0Jwy8N0ZYEA0IVOnLxCC606Qe0uxUB3kHs5oz7fpNWfUQFMsAjnS7iG3tusE+b48Eb+B8VqfVAf5/cX413fEQV5EExlAkxrq/PwgA7g7JgTX8zNx1WxC7fw1uNfmgBPAaqsVIylB3mCzoZSS0a12O0poOsMumw35lCYfEEVkUTKa2F6JU8mxWp8oaT/11xmIpDnIFllGsNEIi6JABhAgCLgoy/AXBHgDjCCbARxXc5AFAQccEhIMxh9MkNfabCimOcjTTQa811KBCKsI7D6Itw+fgReAvwZ44/G728mNxNf7UOfnBwBIXbkVf7lqgQwtL1oWBExJigIyk3HW1wfjPv8CUyWZEeRSHx9IAL6k/14JwLd2u9YnSWI5yF0OB9JMph6knTnIvRHkbnVDnFfvOchnLgKh/TzcSLg5yKrTvv8okBwHGGh6zEBu7jKSNO84KxkQDOTmJnug69xBIbOp3tzs4Qhybxss+Zub785q7v/Zi8xpx4XLngmyenPTW3pMtwUwm3s4yAl9g3B4rO4g66XXT1U6Qdbrv6l+VIJsMhgYaR2SkUlcSFlGYQ51axUFpUUlMFNHsrq8glHSBncySqnWOHWTHoBJHMki9Iq4kFM6NRdyEtukR7xcNRO5vV57m76hSstjrSmvdCHIKskqyR/K3rLPydAIcnoiTbFwOpEQpzrITo0gSw4E0U16kcGaCxkfrW0+S01MZAkfQzJpnxTV1dZIu9onRvwUBQ2cq91e38iexzerDrICw+PT8JfKAjxVnIWQ3z/ICHLLZEJGDQBeLy7DB0u3YM6nq/Dr6jGMINe0tcGLfqaST2d44rf4Z2EWfja6BJmjRsJAKengoiJGQzOyB7ONg+kcaY+Ij4dgNEKUZQRHRgIGA6yyjM472/DykBTcds945iBHDhjAHOTYtDSMH1+LV3IG4vmHf96DIDtACTJNtBheXc2yjyu4HOTbR9Vg+dx1eHvBejxeOhJ/rCrE04WZOP3sk+xGYsmgIny6aBM+nLMWT1eNYX1qmjiRJVrMHFyEmUu3YuEnK2B84B68XDIY948ciln//AteKRqEX9QUIatBy4suKC9nKRaDCwpYn16Y9nO8OjQDzc2leHDaz/FafgbGtJYjNCGe5WprqSgigmi+b2SoeiOhEDKqOsiJyYQgyzI9T/TmJk+7uSnnHOSa8nKWbtFQVc160FZXz52nFkqTFUxq6yQ3OgCmjNXyxye3a+kxk9o7XG9uTCbAALSNqWe+f8OoKjZ31eXl3NxpBLkwJ09zkDO0/PHUJI0gD4iJYX2K5PoUTPsUFRqOAF+OtFMH2c+oO8h66aWXXnp5rp+GIDucNJ1BdZD5t+k5t9ZTvu9NyKirg/zvEmTeQT5GfF1nbwRZJtnNKkG+cJkjyDzJopv0HE5t85nk6MVB/qHOqAcH2b1PSZT48Q7y7kMY6e2DQMmBT0U7qv384OuUEbHhK7xw/hpLsaj194cCkmIxhqoMyy0W1NBfSte4EeQySkZHFWUiMSQQe4L64qn3F6EMJJ3hgN3O3NrE9kqcSqG9vHKd9Mkp49RT0xlB7lYUhBgM6FYUpN3RiJqTF7A0MggH3prPHORAIyHFh2Un6n/WhJLTF7DJy4iv5mkpFmoO8nbRjsEmM8yCgI02G/J9vGGCgDU2G4rp8wqrBeXexDt+yccLi+tGeO4TdbUXWCyop5v0FtOtenxetBNAR/oA9EmKw/E+flhvs5HtfE4Z8//+LmoVgTjIdjtyvb3hAEmx8EzaufPUbeVuJCSSUqHeSJhNhJyae9mkp95InL0EhNIbiZNnezlPN7mRUB1kNXOcEeQUStr308QYkBSLmxFkRQH2HaFb9dxSLFzmjhJkmbr/0R7yx9Xz5N4nd4Lco0+a+5/QJwiH9RQLvfT6yUonyHr9N9VPQ5AVNweZe5u+tJgjyFyKRf0oNweZEeQWRkYntGoO8mTubXoXF7K9nZIsniCDJGNQR7KxulZ7m768gj2XcQ5ycf5QLY81axB5VhSk8y5kbBx7sz4qNIxtQVMJckRwKHOQ42NiOAc5SSN+fJ844ldWwpN2rU8NVTWsB62j65gz+lZ2ERYt2IDp89fD5h+LuQs3Yua8dXiprJqlWIQ8+iD+XpaHx0YMQdJ9v4SJerb1NAfZABCCTAloZb1GQ5f7R+KNFduw5v0l+OKhX+KfhVmYWD8cqcNKNII8eBAl7U6kJ2mkPWLAAEaQp94zHv/Mz0Blazm6PluHfyzZhIOLtzMHOTwhAe1T6vFyzkA8dv/t2DlrOV5ashk7jl1lOcgDS4pxe/tIvJiXhpef+T1+3lKOF/LS8NZLf8R9DaV4Pj8NH/zzz3hozC14bmgGTnPe8a+rRnN9inPtEyXtaooFFAVNdMugoCio6+xkpP2T5EF4Z/k2LPloOf44pICdoVtGVbGe8a42T9rTswez8+Ti1nI3ElFhYdyNRB9AlhEZEsbI6ICYGM1BTkpiNxI5WVnk3LBUFM1pZzcS5RUw08/3lh4zliPIE9VNeoqCKWNp/rgATO7QCPLENm3uxjW3sue2em6THp9iwc1daTHNQVYUjiArGJKewc5TWpLb3NE+RQSHuhJkWUZUWBhHkONYn/z1FAu99PpJS1GUeP2XY73+W+o/n2LRG8nqjSDvPsi9Te9GslQXUvUiFbimWPTIY02kXuQxRvx6JchqioWax6oS5Ms0xcJ5E4Isy4QgW21c6gCXYsE7o7252u59io+mKRae+mRA6+wVeO/gSRjVrXB+fjAAmG+xoI46yL8O7Yuzw4fAbjBi6LKNmNYtwgngC4sFVZQgr7NYUEkp6XpKkB0AttlsKKbPt5TlYJCfL74OC8Sr78xHPt2Yl9hRiVPJpJchp86h+cI1rIkJw+rXP0cUJch9722H1McfsIu4/sz78BcEXJFlloN8RpZRemczSk+dxyp/X+z6ZCVMgoD9koQEmmKxTXai+OEprE/5BiMyL1/DR95G5Hj7IPl6Nz4yCBBTyRmqXbAGn+w+Bi8AyywWjPLxgZGS4lpfXxgEgfSJ5kXP5wjyIkrdnQBWdnejmm7VU1MsHABq8lKxpqoIcMqY88xMjFYJMnW1JQB7JAnZKkHuqMBp9cxdvkaIr7tb634j4U5G+Rzki+p5MmibGRlBDqN94h3k73Pa3XOQ3RxklSB/ewDI5tJjBg8k89VbDvKh49oGy++bu5u5/90Wbe4kibj97n1irjZHkHUHWS+99NJLr17qRyfIBgiA7EqQC3Py2HNpcQlxIRUFVWXljGTVj6qGmZKsVo4gdzZqb9NPaOtgVGsy7yCPHUe+LgiY2KY5yOOatbfpW8fU02xWoLGWJ8jlhF4JILm1ah5rXj6jWpqD7ER6SjJ5s16WMUB9m97hJKkDlCAH9wskJCskDH0Y8eMdZI0gZ6fzDjLnapeUMGe0qkxzRl1Ju7b5bMzYTviYzVAUBU0TJsCHEtDWSZMYGX2pvAofLtmCj+esQf7dd+HZEbl4tCwXC955Ac8PH4KHKvKQNUXbsDeyvh5eJhMEALdUVxOyDGCdww+vrtyO9e8uRkH+UJbOkD5II8jHth/FKyu3Y9tb8xDNEeSI8AiWYesfFAQnQFIsAgLgABDVvz/2zFqBfyzZjG92ncTYCaPxYm4q/vDEfZg4rhr/yEvD80/ez9IZbksfhE2zv8A/F2/C5SteWPv5Gvxr0SYc8gphTrv/r+7Go7Ul+FthJiyPPwQfmnTRPGECfKhb2zppEiPtrZMmMYJs/sNDeHZELh4py8XC6f9w6RNL+6ivY+fps6d/j5eLBuG2MSXIGjWSJVrM+N09eKUwC+1NIxBRMFQjo5yr3V91ax3ENyZJDZJGRkO18xTPOcg8QXZ1kPPZeXJNRdEIcj23Sa+1TstBdnH/XRxklSALLu7/hLYOMl8AxjY3u84dvYmp5zbpVZdpc1fK8seBotw8dnMzhG2wdCJVzUF2Ot3mTutTUJ++lLRrNzcJsXGsT7qDrJdeeumlV2/10znIZy9qLuSpsxpBPnoKiIvsSUa/j2QZDb2/Tf/NfkKy3F1IfrvX/sOUZCmuJOvId0By/54k69R5IM5DigVPkG9YgMA+rsTPZaMXR7LcN5/9uwSZkfYjQGJ/8vk9XUBaPGAwouXTFXj30CkYQbbn1fIEmZLReRYLxlAH+e6YELw7YTR5qW/XIXQajTjr64POz1biNgfZnudCkO12lFAa+g1NZ3DfEJfYXsEI8v6nZyCZboi77HAi0miEHUDarWNQffYSlsSGY/frczSCLAgwUwc5mOYgH3U6UXdHE4advoDZQX1xJTaMI6OhgNGIzG17sHXlNphAHORCmmLxsQH4V8coDLhhxYdwYoSvHyJsdjh2d+HdrlOMIFf5+8MIYEF3N0b7+0MAsLC7G3V04+Dd0SGw5aXjitmEFRar1ieaYuEEUD8kGdExETjUzx9fWm0Ya3dgd3BfPD1zEUYIBjgAZNQNw+FBydRpv0KcfEZG6Xlyd5A9EWT382Q0kvMZ1KfneXJxkN0Ispoew88dd55c0mNY9rEAfLOPesegBLmXm5vMZEKN9x8l7xDIiquDfOQkSc/g506WSXpMTDj5/PnL39MnByB62qTn2UFO7BOELt1B1ksvvfTSy0P9dA4yl85QMIRzkDkXsrqsgpHROi7FonVMPSVc1IVUt3u1dWgkiyPIkzt5F7JDcyFb2thza10jc5Drq2oYvaqu4BzkYo0gFw/VUiyGZGa6Ej9KkOPj+hP656QOMiWjmjPKOcgcyeqNIBfl5rHeMIKsKKgu5YkfdUahoK2+gfrZMnwevg9/qC7GU8VZMP3hIY0gT5zIyGjYow/i6fJ8/E9pDvDEI6xnOyNTMH3ZNsybvRJ3VNUyajyyvp5R41uqqthWuELq1gJAdmEhI8gZg7OZW/vQtLvwSkEmatsq2CY9UVGwf+kOvLRyB7a+ORcBPEHu0wdOAFHx8fCmikdiaiq+/XAF/rF0C47vPcM57VpedGjjGNzVXIHn89Ox7rEH4EOTK8ZWjMQXc9bi1UUbcQPBWDJ/Pd5YuBHvDy5gpD3lvl/gT6MK8WTJYKye+Qr+UjkUjw/PxqqZr+DpMtKnX9c1YObSrfjss1WwmiO0Po2qYaR9QUQS3lixDctnLcflq0a8tnI7Vr+/FOXFJcxBziks1M5TVqbmICdxNxKxsew8sRsJUUJgQC/nydcXUGSkJafAx+ztmh6jyCjM9Tx3NWVaekx9NXcjwZ0nPgd5UkcnmVMomNwxjhHkyZ2dPW9uQGaWpFgIaK1vYDc3daOqtblzcZCHaQ5yXh59Jj9DbtonB+mJ0WDQ0mPUPqkOcozmIPt66QRZL7300ksvz/XTEeRzFzkXktvo1RvJOnAESOpP81jVt+l/YB6ri4N8ABhEvcg9h4BMSpD3HaZv0yuuOcg8yTpxhhBtpwycOU9yiGWZkizOhQwJpDnI3UA/SpDtIiF6LpvP3FIHfL1JqsXFK4Q8Gw2UtAfdnCAfOgEkeCDte2ifjAZK/EhG9MT3F+GNE+eZW1tLyej9YX3x6tSGHn165sVZ+BXNQV5ltWIUdWvX2Wwopc9bbTYMo4kW39psGEoJ8m5JwhBKkJPaynEqpX8P0n7yrzOYg2yRZQQZDLAAgKLAjxJkH26TnkqQj9NNemZBwE7ZiclT61Fw9hI+7uOLZG9v5Fy4ig/9zcj08UHmpWs4cOkqlm/aBZMgYLXVimE+PjAJApZbrSin3vESqxUVfn4wAvirvzee+EU7IaNf70OTry8AYI6lG62+frAbDchbtom52ispmXcAWGWzYqSvH8lBtlhQxvWphFJ3nrQXVhegwGDE1ogQnBDtaLt8AxuiQnFOktBy/ipWx4bhgLe5J0Hu7Ty5O8iBHm4kGGm/iYO87wiQws+dto2Rzd03B4BBN7m5UR1k/uZG3ar376THyDQ9JsbDzQ1LRXECNzyQdrsE4OZ9SuwbhK7/ZQ5yaGioEh8f/5/+NvTSSy+9/mO1Y8eOC4qihH3f537UX5Cvi3aEv/cMbKId2WHR2Hf1AuyiiMLI/vjq4hmIkogRMQnYdPY7SA4JVf1TsPr0MYiSiPr4NCz+7hAckgMtSZmYf/wAJEnE2JTB+PToPkiSiImpOfjoyG5IooRJaUMwq2s3HJKIyem5mNW1C5JIP3N4NyRJxLiBQzD7yB5Ikoi2lEGYc2QfHA4J9QkZWHTiIJwOCdUDUrHi5GE4HRLK45Kx7sxxOEQRRdEDsO38KTglEUMiYrHz8jk47SLSwiNx8MolOO12JISE4fiNa3BabYgMDsZ5mwXOGxYEBgXiitWCCP++sDgkXLdbMaBvMM7bLbDYbUgNDsexG1e1Pl25ALvUs0+bz52EKImo7j8QX5w6DMnhQEN8Ghaf7IIkSWhNysL84/shihI6Bw7GZ0f3QhIlfIogtDz/L4iiiG/uuQtz9n0NSRRxacokvHt0t9anI+T5wGknUmZ9Arsownv0aGD5ctglCa8+ci/EdevxTT8/CBUVyP58PrYG98E7VwD/TZthdzjw4MN3IWHtRqyICsHJYUXYdekcnKKItLAoHLx2EU6bHc6P18Fw8iSuSRL6RkUBFy7gkiQhOCgI0tWrMIWHAxYLHDduwCsuDrhwAZLVCkNyMpqKBqJ03xHsLRuO116ZCdEuQsjNgWnXboiiCENxMby2b4coSTCUlsJnwwY2/Ao5AAAgAElEQVRIogjTqFHAmjXkubYWWLECoijixOQJeOXCUfhfu4EzUyZgBj1nS5yBKH/5dUiiBHNbK5R58yCJIlbefy++2b4RZw3Ab2JTkTTrY9glCe9NuxcXNqzHfn9vPG0ORdiiJbA7HPAeMQLYuJE8FxcD27bB7nBAKRgKw9ffQJIkGAZlwbhvP0RJgtfAFBiPHIFFcqDwj/fgkK2bnKegYJy3dcN5w4Kg4GBctnYjMqAfbkgibtitGNAvGOet3bCIdqQGhePojSuwSyKGhEdj72X1PMXhq4tnIUoiymITseHMcUgOB6rjUrDqDJ27hHQsPnEQDsmB1uRMzDu2H5IkoTNlMD5T527gEHx0dA8kUcLktBx80LWLzF1qLj44TJ4n0LlziCLGpmZj9pG9cEgiWpIHYe7RfXDSuSMzTs70ilNH4HRIKI1Nwvozx+GURBRGx2PHhVNwiBKyI6Kx69J5OEURqWGROHSVzN2AkDB8x+YuhPapG4GBQbhisyAqoB+u0z7F9wvGOdqnzJBI7Gr/xQ/+ecZ+aP4X/4L87/4M10svvfT6f63KysoAAKtXr/6/+vt/6M/wny7Foodb25uD7MGFvClB9uRC7gey0wAowLf0bfoeBPmI5kLyJMuTgyzLJHkjNpLLQQ4lX1dTB3iSJTm03NqbvU3v60MI8qUrhDyz3FoPpN2lT8eB+FjapyNAMs0+dunTAdR4+yBQlGD+ah9eo5v0Hg30w7N3tYIQv31cnw6w7Oi/vzgL99kchIxarajy9YUEks6wdlQRJe1an1Y+PQOl1K0trCpAgdGIreHBOC6KaKdkdLfZyAjyd09NR5SBOMhWjiArigJ/QcBl6iD7CALOqJv0BAFdshPNtzVi2OkLWGc24qt562EC2CY9E4AddjsGm83wEgRsomTb6yYE+SUfLzzwq3GUjO5DnY8vfJ0KQjaSvGhQ6t5AUyzujAmGmJuBK2YTRi5cx0h7e3p/BCfG4liAP+78eDk6FPRKkB0AdjskDDaR5SZH7XYMpNT9pMOBeC8vSACC72yCJTTQg1urkM1w/Hm6ch0I8KMEWb2RUAkyPU/fnQWiwnqep4PH6dZK9TxxBJm5/weBDJo5/u1+OncGeoZSufOUSm4kdnJzp7r/sgIc4N1/fu6+x0F20pubSEqQr92gKRZucyepfXIAkEmfuq1k/lRX288HMHn9r8xB1n9B1ksvvf7b66f6BfknSLEAIMsYzLmQQ4fkMn90RMkw9mb9qLJy5kLWVWkpFs1j1HxfGR1NzSy5YnxrB+dCcnmsYzUHeXw750I2aTnIrXX1MFLnsaGqlnOQK9l2L+YgK0ARl4M8JDOLJQ2kpaj5vsQDVb+upQ44mDMaERyKAD/ijPaPjoGfnx+gyEhNSmapA9lc6kAh7yAP0/pUxTmjdaOq4UXd5JYx9axPbw0uwryFG/Hmwo14s2AEc5DbJ07SXG2+T20dNIEAaOrsZDnIo1tbtU16dWOYt11VXsH6VDhiBPORN12W8crKHdjw7iKc2n0GL3+xA5unL8DQ2AGsT1HxCTAYjZAUBcERERCMRthlmTnIwRER8KUpFhHx8Wi+tR7P5aXhsQdux9cfrsALy7Zgx9Gr8DabySa9ggLmGhfQTXoKiCetPo+sq2Ob9Gqbm5l3XN+uJaF8kl2CzxZvxjsL1pMcZG9vCADaJk5kKRZvFZZixrJtmP35avymajTzjj9NzMIbK3Zg0ccrMK5yJHO1R3BpH4WlpcyhffvRe/Fi8SC0NJciKTeXZSInpqbC4OUFh6IgTj1PTs6tdTgQGKC5tQGqgxzXH74+PjTFIpk5yMRpp+cpL5+dp7JhnPtfUcmdJy5Xm6XHkNlR+zShVUuxmMS5/5M6x1IHGZjQ3s7OU6eag2wAWuo0B7mem7uq8nJ2nkZwc1fIpVhkZ2Wx/qUmJLLzxBxkWUZESCgMgkDzx/uxWQzgXG1f3UHWSy+99Prvq6tXgXXrfrJ/3Y9KkC/brYh8jyfI35PHeoimWLjnse45REiT0UC35yUReuWex8pcSJ5kaWTUJcWCJ8gHjwKpiT3IKHOQZZpi4bJJL5Rs97p0jTjD7qkDvIPsifi5p1iwzWeqg2zo3dU+eBxIiKHO6FFC3twc5JbZK/Bu12kYQVIYavz9YQDw+0BfPHdn60379LeXPsSvKEFezTnItbkDsZbm+/oeOIrxNJ3hz+8tQqlghANkq53qIB8RRaSaTJAADGqrQOV1C1bFhmPlG58zgmyRZQQbDOgGSAQbR5C9BQGnZScqf9aE8pPnsbKvL3Z+sgomkLSMBJMJZkHAt6KINEqQt9vtyPb2hgnABrsdBZQmr7FaMczXF16AC0H+h48RX4y+BYGiA6av9uL1kxdZwoeaYrGouxv1vr5QaNLFGJqDvILbOLjWYmF92mC19nC1HQB2SCIKzMRBLqoqQJFgwJaIYMx8ex4yjSQ7+pTDgQGUIKePq0L15WtYHhsBuyyj/uR5LIqLwLFAf8/nyc/nJk67wXXujp4E4qLo3B0nNzeqg5zcX5u7tERCjXcdIvMiGAhBHjSQudqEIIPe3HggyHwOssvNDe/+93Jzc5rLHz9PHWT15uZm+eP83HVbAW8T6Q1HkBP7BqNr7K9+8M8ztXSCrJdeeun1E5TdDrz7LvCXvwDz5wP19QCAstOngZgYrN6zB6Cw5t+p/ycUi+uiHeEz/w6bJGJwaBT2X7sIuyiiILI/vlbd2uhEbD7/HURJxKi4FKyhLmRdfBqWneyCKEpoSc7EguMHIIoSxqYMxmfH9kEURUxIzcbHR/YwB/nDLuIaT0rLxYeHiYM8ITUHH1O3duzAbHx6ZC8kSURrUhbmHj8AhySiPjEdi090ERcyfiBWnjwChyShLC4J68+c0BzkC6fgFCVkR8Rg16WzcIoScSGvXYLTRlzIEzeuQrbZqTNKHOSgoCBctloQGdAH3Q4J123EGT1n7YZVtGNgcCiO37jew0EuiIyjfZJc+9Q/BWtOa31aerILkiihJSkTC06QPo1LHoTwz+fA/9oNnJ84Dv0+nwujxYqLkydi+jHig7r2aQjtpYjbEzIw4MPZOGEywtFQj+RPPsd+PzOuNDdi4XHiap/+9hxCvlgFSZTgV1jI3NrfPvRzxG/YjBVRwZi7/zzMe/fC6nBASEuF8cgRWCUJfWNigTNncF2S0Cc8HLh8GZdEUXOQw8IAqxXSjRswxcXBcekiJKsNQnISfI6fgGSzwZSRAXR1QbLbYcrJAXaT/8amoiLgyy/J84gRwKZNkCQJpspKYO1aiKIIc20t8MUXEEURXg0NcC5bClGUYG5shGnBAoiiiK//D3vnHR5Xda39d4+qLVsuKi4qttVsNRdJLpLcJNlW72UkGxLCRyAfgcBNh9BCQkKCSbi5Se7Dl3tDCqEXG9MxLdTginu3jOXem8qMNPv7Y++z9zpnzsiyg40ws57HT7ZGM9Lo1drK4bff866bb8DzWz+Fy+VCU8ZUTP9/j6DL7cYb370JK9f+C4cdgLuuFvFPPou9wQG4c2gs4p5/AV1uN0LmzwfeeUes58wBPvgAXd3duOu2mxD53vt4L3oY/nagA2Gr18DldiMsNRXYtg0dbjcGJCUBe/bgnNuNwLFj4TiwH2fdboSNGAl27BhOuN2YcM+3cKKzAyMHhSsPcnz4cBztlB7k4VHYc/a0TT+RfReTgI8Pi34yef/HpeK1tp1wuVwm778zeRKel/tuYcokPC29/F+bkIXHZQ/Rflo4fgqekh5kZ8okPNu6Cd0uN2oT07Fs7zZ0u80e5AVjUvDWfrHvZscm4oNDn6HH5ca00fFYdeQAetwuue+IB1nuu/jhUdh3zur9P4dhw4bLfWfW6Uin2HdpESOx0e9BhtvtRltbGzo7O7+gd+Uvo0JDQxEbGytOXPzlr69qffABcNVVPj8998ABAMA7b74J5Odf8JfvFxfIPgmyLy+kyVvbKr2QDpLH6gDW7xAEWd1Nn6xJ1mTqhfT21mIT8UKaUiz2ACnjzkOQpQdZpVhIgnzijPYgn5E5yNSD7CsHmU7SO0Y9yCQvmuq0ez8Qb+cZ7U0nG+KnvNoMWCd14tybtGfa6LRNThz0ePDs4r+jkjN0A1jd1YXpMp0hvSIPuzNEvu+aX/0VmXKqXltPNxICAtEF4ER3t8pBpikWHEAYYzju8SAMMHuQAezp7saowEAEMYYt3d1IkukW61wupAQHI5gxfOLqQlZgEAKZyEGeZuNBfq2jA0WSIL/S3o4FZHpeuVzfPiQUrXOmAQDi/7kS953qAAfwrdHD0TNF5CC/1tGBhSwAhwaGoG7J27i2m4uJgx0dKsXio64uzJQEefbsScgaMACro4biv/76IqZJbXa73UiRpH2vp0fpdKynB6MDAtAJjnMejgiHA+fAEf7dhTqdgXqQwwZogmzkIB88SvrpIDAq2psg037ashtIlp52Xyc367bKfWfnQbbZdxt3itQLO4Jslz++94Ag2rYnN9b0GMu+Ux5kl3hP1n1HvNp+gixq9+7dGDx4MCIiIsAY+4Lemb845zh27BjOnDmDcePGfdFvx1/++mJq3jxg585en/LH06cBADceO3ZR36JfeJADGfEgEy/ktOxs6UfmmJWXRzzIhcrnWLGgWOX+1lZUyDxWDmet9iA3NzQqD/JVTieCgoy19NZy4a01fLbOGj1Jz8sLKf2PC+YWyexjYE5eHsljnarWk9PTpeeRY0JiovA89ngwNo54kKOipWe0B0OkBzk6gnqQY5VnNIVMPpuYbq/TbOIZnV9or1OdSac6kXkLoKWhyaxTSDDAiE7om04VpaXKg/zsr+/Ab/In46qqWfjdg3fgt3kT4ayZg+iiAuUZvefum/HbvIkobyjEf9z2Lfw2NxPFjUUYOXas8tlGjBgh/MgeD2q/1YAHp6bi6psXKg/yqPh4hMoc5PgJ49FwdTkWT03Fgz/6lvIgT8idga87F+CBaWlYcud/KN/xbKsHWa7La2vV41VOp56et3ChWv96Xjkef/1f+OuL76Himm/gvsKp+HFBNv6jvBqPLF+Bp5a8g/bgEfjfN1fiuefexvXzihFkzYvmHO/f/T2l06tsCH7/1iq8++irmJGdI/KiAUyYOBGOgAB4OMed379O6fTNH1yLh3IzUOich6u+swgPzcjA3Kb5GCLzfUdEGv3EMcbw1nIPxicRD7Kpn3JIrvZMtV5g6qcS2U8e1FVUqfxxZ2296qeFJH/8amcL2XdO077THuRa0k8VqodoDvKCuYVq383Oyxd+ZA5My87RHuQ07UFOSUhQ+24M2XcjIg2vtkftu5GRUQgbKCdYxsapfRciv+5XvTo7O/0Xx/2gGGOIiIjwk3x/fTXrrruAcePMF8f33Qds2QJcf71+bNcu3Hj48EVfHF9IXXKCPOLRxXB3d/fNW7vjM2CcHcnaKcilQ/qO7UjWWgvJmky8tZPGC2K1cTuQkeKdg0zIKHa1iRxYXyTL4wEOnxDv39MjUyyGeeexKg+yTLEIsZl8NpCmWMjc2sMk7cNE/AhpNzyjAQEidcCL+AUA67eK6WV2OhmkfS3VaaskfrB4tX3o1Cfid1yQ9h4PcPK0yotuu/8vGC09yOekB7kdQMa1lShvO4yXR0Zgw99eRihj2N/TgwiHQ6ZYeNDwjUrMPHAE7wQHYfUL7wlq3NOD3NuuAQIcSFu5CaveWCE8yIQgv93RgVnSg/x6RwfmDByIQACvtLejZMAABEBMGSyTEweXyuQKBuA7UeE4OWMiugICMPGNj/CTcy54ALwmn98D4E2Z9tED4N3OThRIgrxgeirShoZjw/Ah+Nk/XsZcJqjxFpcLE6VXe5dM4XABGH11KU7EjfCd72v11hrpDNYUCzqZ0ZYg++gnIwfZ5P0PsOy7LSIz28GANb76iZ7cbAfSU2QOMumn7TLFwlf+uHXfHbGkx0T0MnGQntxYUyxUDrKfIAPA5s2bkZqa+gW9I39Zy//78NdXqjweIDHR+/H77gMWLtQfr1kDTJwIBASgvb0dAETQwUVUvyHIYpIeR6ZKseCYOiVLUeNZM3ItKRZiXe5FkGWKBSGjCxv13fRXOZsVGb26uUXdTb+wsUnRK2etTrGoK69Sj1eWlOh0BjJJb3YeneiVo6jxpIx0OBwM8HCMT0zSJCsmVq67MSIqSqy7uzE0PBzwcERHRCjiFx8bqyafJSckIjR0gCDIqRmE+E3VOuXlaYJcICfpgaOiuIToVKkm7DVR4tfYZNaJkHalU4Mk8MyiU4UPnYzJZwBm0dQBSvzSM3XqQFKSWHs8GBU/BiwgAC6PBxEkxWLbkvexePkn2PL6KlRdV4sHpqbiuh9ci5pvVOGBaWm463vfwJon38SDb3yCNbtPIjQ0FD0ApkybpnSaPnOWSrSYPX++IsXzKyoQGhQED+eYeNVCfL98Fn6el4kOOWWQc466lha1bly0CCFy/YeZRfj7Gyvw6Av/xN3zyxAs6XB1U5NKsSivqVEEefM9P8CDMyfj2op8PDs0Bn94azWWP/46imaISXoMwORp0+AICADnHKmTJqnpg4kpPvopIkL2Uw+GDh4CeDhGRkVpghxnkFFBV41+mpTuo59yzSc3qp9KSlQP1SqCzE37rqXBqRMtmp0++klPsGyq0SkWtRWVqp8qinU/zSuYSwiyPrmZmp2t9t3EdGPfeZCSpCfpxcfEKJ2iI40UC+PkhmMEJcgxsUqnUD9B9pe//OWvy1czZghKbPxra7O/OH7/ffPFMQBMmSJgDYCysjKUlZVd8rd7mQmyDcnavQ+IH2UmyA6Sx2qkM0wYJ4jV+u2CjFIPsoOZCfLaLcBk6YX8dJue7mX11qYmiscpyaIE+bMDIi3CRLI4cOSYLRnF2XY5Sc/iQTYmn9nlsRopFkOM3NqjmrT78mr7JO0kdcCkkx3xg9QpVehkZEd7LDptlsTvonQ6LlMHOHDilNJpz6/+hliHw8tbyzxceZBzr6vGgrbDeH7EcOwfGQEEBmDovkM4+LdXRYqF241x0o+8ghDk1BUbsPqNlQhiDO91dmIGIcgzpQf5fwMZllTPxYiOLpzbsht/37kfDsbwQns7KqQHeUl7O6olQV567hyqw8LAAbzY3o5KmYn8ivQs9zCGt2TaRw+AiklJGDcqCtuHDMJ3n3wN5RAZ0SvdLkyXKRYbXS6V9tFK0j5G+STILuFZd7kFoQ0JEukNQUY6AyHIR0+SSXpHgcjh3v20uw2IH21/ImHsu407gFRf/ZRiOZEAsHar/cmNL++/r36iJxIHbCZYejjZd748yDak3dBJerUThwzHDj9B9hPLflb+34e/rsg6ehSYOrX352zYAAwYIK5neqkrIgc5wIsgCxo1leT7zswj3tq5hWINjvLiEkW1aisqFbFqMOUgN+h1kyZZi4gHubmxkZAs7a2trahUlJSSrAWFxAuZL72QAKZlZ8MhfY5mMpqs1vGxcZJqCWolMmx7pGeUI1qRLI640TGSIAMpCUnC+8o9yExLQ4gke0InSpDFet4c6Rn1cJQVFysNasu1Tk01dWrdUq+zfhc5Jf0DcJWzRenU0tAkvMYAmmq0Z7S20qxTQGCAJH5mz6hBkM06pat1ikGQOcc3v38tHsydiELnfCy85So8mDsRc5rmIWzoUPQAiIiOxqan38Hi5Z9g5z83Sm8tkJScgpCQEHgApGZmIjQ0FBwGQRY9NH3WbITK58y1EGTDg3z9vGK88NJH+OOrH+OxjKnKd9xAPMhNCxcqgty4aBGCZc5zfUuLyESGzIsODgYDUFZTo2jyy9Hj8Me3RSZy1Sydfbz0zluweOZkNNbOwS9++UM8mD8JNfVzkTRpkvIgU4IcrwhyD6KNfN/uHnIiIT3InBJkD1KSNEGemJ6h+ylb77vZ+bM0QS4oMJ1IGNS4ppL2kzl/PFjqtMigxnQtCbLRT43VteZ9Jz3t5aZ+KlAnEjPz8qVmwNQso584JqbpfkpO0N7/eJI/Ht0baZd7VPQTR7CfIPvLX/7y16UtzoHdu/XFcUkJUFhofs7DD4vnhIWd9+L4ctZlTrEYapPH6oOMbt0NJPoiyIk6+3ii1VsLM8kyyKiVIG/eJb6Olwd5ryCyVjK675C4699Esjz2KRbWHGQTQQ4EAoMIyQqQHuTwvhNkI3XAIO0+CTLVKcWHZ9RIHdgKTJQ6bdguCCHvjSD70MnLM0pyayOHCW3O2ujU1YVTDz6OQYzhmMeDgYxhAGNo83hQem0lCtsO47Xwgfj02XcQzBg2dbuRFCAI8seeHsz60dcFQV65URBkAO93dmKq9B2/3dmB2cGCJr/W3o55AwciAMDL7e2YFxaGAAAvnjuHUpkXvezcOVQPGADGGJ4/dw61AweCy6SLCpmD/Hr7OZQNDEM3gLfa27FAZiJ/0NGBQplc8WFXF2aFhsINIGdeNjbnpHvptOr+v2KSIwAuADFXlWiCfMbuRMIFcCYIspe3NlT00LGTwNDz9BM9ubGmWJhykMeRzPHkvhPkdeTkhvYTPbnpk6fdOsHSkmJh9NN5dTL23WlB2gP8BNmo/kIs77vvPjz22GMICAiAw+HAww8/jOnTpyMvLw8ffvjh5/I9Bg0ahLNnz/r8/MmTJ/HYY4/hxht1/N/n+f2Nevjhh7F69Wo8/PDDXp/rL78Pf/nr366TJ4U1gtauXSJR65VXgBtvBN58E0hIuKAve8UQZJFiwZGRmqpJFvEgzyQe5HlzCsTaw1G2oNhEkAX5Ahpra7UXsrGRkCwngg0y2kxIVpNTEeRGcjd9jXE3PYDykhIESpI1v5B4aykZNSbpcUgvpKBaKYlmkmUQP+1B7sHQ8CGSIEdi0MBBkmTFKjKqCTK3EGSiU26uon/zCgpMpN0gezXlvnTSBHmhs8mWtLfUNyEwSPzcTXUNSrMaQtop8ZtfWKR0mp2fr3zHU7PtiB9HiuHV9ngQR8joiKgo5TGtubEJv5qejpbvLELVN2vxq+np+PatX8O6J9/CA2+uwNr1+1D3tQrcPyMdt99zC5yLSnH/jHQ8+LPv2XqQJ5eX4fq6QtyXm4kNd/9AEeQKMkkv/fpr8cPymbhr1iS8+rff4SelebhjzhRE3vZdhMjnOxctUr0Vcsf38bPCqfiPeVPxwp8fwn0F2bipeDqe+Z8HcP+cLFxflocpDfWmFItfz5qCRdWzEVlZLvTgZp3uues7eCB/EsoaixCZkWomo9Jnq3Tq9mDIoEHilCIqCmED9InEgFDZT4nJqp8mpqcrbShBnkVSUeYVFKgTifJi6kGuVD3UWKcn6bU0NsnHuU+C3NJEPMh19SohpbaiSvcT8bTPJykWM3Pzxc8qCbLRW5lp6XLNkWykWHjMOkWbUiykTpGRCFMEOV7q5CfI/ak++ugjvPjii1i9ejXWrVuH5cuXIy4uDgA+94vT3urkyZP44x//aHrsUnz/9evXY+LEiZ/71/WXv/pVLV1q/vjFF8XFMQCUlgpqfIEXx5ezLg9B7nabPci+JnpRMrplN5BCyagkWRsoGd0iyKhtOoPhQSYE2URGdwpPpYcD21olyeLAzr3i+3oR5MOC4Ho8wOHjIsXC8CArMnpOkODubqDLDQwySBZkbq30jFon6XmlDtgRP4tn1M6rvXEHkEp1StL+7InjLXnRMHuQ+6RTH9I+lE5cJHKMtHq1pbe2j6R94NETOPqnpQhhDNs9HjivKces/UfxeEQ4xgYFYcah4/jHkIEYHxyC7CMn8ElnF957dw2CGMOL8OAh5wKknDyLnYeOYumnO1WKxfyQEDFJLyQA75XOxFCXG4/2dMMzSfTTN/+8BP91+BQYY1hy7hxqpAf5mzHDwSZNwMmQILzc0YGrWQAODgzFKy6XIu1/ffBRNHuAbgCz8jOwelaW0GYPJe3WXG2bCXHnOu0nMxoeZF8pFj49yL5ykPcACXGSIO8CkseK3jJ5kLfpVJRPaT9tlnvN2k8+CDI9kdjWKk48+pQeQz3tfdGJ7Luz7XKSnkGQw4DAACSG+wky0D+I5XPPPYdHHnkEy5Yt8/qcQX1bW1tRUlKCGTNm4MMPP8TUqVPxjW98A3fffTcOHz6Mf/zjH4iOjkZFRQU2bNgAAFi8eDHOnj2Le+65x/S1ampqsHfvXnR2duKWW27B9TJGqrm5GUuXLsX48eMxf/58PPDAA+o1v/nNb/DnP/8ZAHDdddfh1ltvRWtrK0pLSzFz5kx8+OGHiImJwdKlSwX86KVmz56Nn//855g9e7bX5/rD78Nf/rqg8ni8rRFXXy1utgOEt5gx4CJTJ6z1l7/8BQBwzTXXXNTr+w1BZgy9e5BzNckqImS0rER7a6vLKzTJImS0WZEsYFGT5W56g4w2ajLaWFuvqFZtVbXO9y0pVet5RYWKWM3Om6lIlokgZ2Sq52gyyjEmLl57kKOj4GAOoIdrD3JEhIX4ibvpkxISECKpXWaaJn45WVma+OXNVHR93lwzQaaeUUMP7dU25yAvJB7kRb50qtM61VSSHGQ70s6AWbl5RKccTZCpTsqDDC+CbJB27dXWxC9i3FhUfaMav5iRjju/dy1WPSVo8r4NB/Cvp9/G4uWf4MDOk/jgWeFZft89QHmQq2fNwRtL38NDb/wLfxkzATfVzMW9+RNx4K7vK2/y9+aX4plXP8YfX/0IK8ek6z67apEiyE3Eg/zI1Fn4nzdX4bGl/0R70Ag8/NYqPP3cO3ho0jRFRl9/8G7cPzsLX6+cieEtjernVqSdA1ONtA8OZKalmUi71ilGe5AjtQfZIKPRkZG6n0g6Q3JCIumnDJUeY06xoAS5UPVWeXGpoOWco4ae3NTQVBSn6qdFzmZF10391NDo3U+wnEiUlIp+guFBlgQ5L1+T9qws5TumOiUTneJNOhn7zqP7KSpKE+S4eKVTcED/8br1m7r3XqC5+fP9d3muJ4wAACAASURBVO+95/22CxYswN69e5GSkoIbb7wR7777ru3zduzYge9973vYsmULtmzZgsceewzvv/8+Fi9ejF/84hd9/jH//Oc/Y9WqVVi5ciV+97vf4ZjMVL3//vuRmJiItWvX4oEHHlDPX7VqFR555BH861//wscff4w//elPWLNmDQBg+/bt+Pa3v42NGzdi6NChePbZZ9XrysrKsH//fq/vv2HDBj9B9teXv/bvF2kUiYnAY48BGzcCHR2A06kvjgHhLf6cLo4BcWF8sRfHF1KXnCCPevRBdPV0y4ledt5aQrJ27AHGxVm8kA4xicsgWeuIF5KS0TWbgSmSZK3ZItYcgowavsgN2wVx9hhkNFn8lw8lWSaCvF+QWivxowT5xClzDrJBRjslyXJLkhUsCTL1IF9I6oAd8evVg0yI39otwCSDtBPi9+/oRD3Ie/YL8u+LtHs8IqlD6WR4RnsEaac6WdM+CBkd2nYQB/72KoJhTrFY53IhLUhMz/ukqwuTQkMQBIb3urqQJx9/kgFX/eBqwOHA/GXv4oWNrQgA8FJ7O0qkH/lnYcH42bedAGO47pGl+M8jpwEGvHBWplgw4KWz51AjkytebW9HucxBbpgQh9FjYrBn8EC87nYLku/hffNqHz4BjIywIe3t+kTCmopipDOEWL21hgdZpqIcOApE2xBkeiJB+2nLLvF+1b6TJxLrtolpeNaTG7XvCE1W3n+7ftolTyQ89p52Stp7PMABH/vupDUH2WaCpR1pN7z/AQFIGhKJ7c039/nvmVFXNEG+915g06bP95umpYkhAOepnp4evPfee3j77bfx8MMP4/7778c111xjIsjz58/H9u3bAQBf+9rXUFxcjEWLFmHXrl2oq6vDkiVL+kSQ77nnHjz//PMAgNbWVrz22muYMWMGWltbTa83XnPffffh2LFjuFde7N95552IiopCVVWV6T396le/gtvtxh133OHz59y7dy/y8vKwd+9e28/7CbK/vhR18CCQm3v+5+3e/bl/66NHjwIAIiMjL+r1/YYgg0F4kNPSJL2CJKOGt1bn+86bq0mW8iBzoLpSk6yGmjr1/OZGPUlvUXOLJlkkB7mlSef7NtbWEw9ylaJXgmQFehHkWfkz1XpalkFGLQQ5OVmTLOpBjo4Sz+/hwoMMI8WC3E1vEOREgyDDRPxoisXMGXmEtBeqx8sWFGviV15h0Ul6kJ2EtFPP6AXrJD3IkCkWSiftQZ5GyWh6hiZ+SRadHAGK7hk6DRk0GOAWMhqryWhCUrKiw6kZGTrFYupUhISGwgNgYmEBrmlagJ/nZeKfd31XkeIF5WVKp/LqGuVBrmloUOuGlhbVT6777sAdJbn44dxsLP/bf+HuBdPx3cIcTLj5/6rkihqSg/z82DT84Z3VeO7Zt/HTSTlKv3kFhYqMziLpDDkqnQHITNfeWkqQhU4OSYsjzKQdHNFRmrTHxcYRD3KS7qcM2k85qj9m5ZknM6oTiZJSte/oiURjvSbILeTkZqGRq805FjYRD3Jjk+6nOp0eU11eoXqovLhYrYvmFqqfW+kEC2lPz1A6JSUmep9IeDyIiqA6efdTfIzWKdBPkL3rrruAJ574fP/14eIYAAICAjB37lz89Kc/xe9//3sTiTUqRN5zAgAOh0N97HA40N3djcDAQHg8HvUcu6l077zzDpYvX46PPvoIn376KaZMmfJvTa+j7ykgIADd3d29Pt/vP/bXl75eeeX8F8e//KWYgncJqqGhAQ0NDZfka9O6pP8P4eEcnANgwIaNm+DqcgEMWLl6tVwzvP/hh3B1dQGMYfk7b6vHX37tVbg6OwEGLF22DK4u8QfsmSXPyTXDE089DberCwDDP554HC6XS63dcpLW4089CbdbrJ9+/ln1x2vJshfU+qVXXxFrDix/8y30dPcAAN774H309Ij1JytXij+8DmDdhvXicQZs275drT9r2wsP50BAAA4dOQwP9wABDpw8fQpgDIePHsG59nbAwfDZvjZ0dHYADNixcye6OoUG6zdtRJfUY8XqlVqnjz5QOr35NtXpNfFzM4YlL72odXr+ObV+/KmnxGsB/OOJJ+C20+npPuj0yqtKm+VvEZ0+/EDrtGql0mP9xg1SM4btO3agp8cDMCZ08vQADqGJodOps2cAMBw+ehTnOoROe9va0NHZCTgYdu3Yjo6uLjDGsE7qxACsXrECXV1dcAD4+L33cJBxHA0bgDfefgvtbjc4Y3jllVekfsBLS5egU36dJc88g06XC4wxPPP446qf/vb0U/jtxET8YWoq/vfZp/HA5BQ8nD0BTz/xOFxSpyVPPQV3d7f4+kuWwONygwF4/aWX0E106rbqxICVq3Q/rd+wQerHsG3nDt1P+9qUNoePHIXHw4FAB06dOS376ajqJ6rTtp07dD9t3ED6aZXS4L0PdT+98dbbsj8YXnr1FbXvlixbpp7/9HPPqvXjT+t+euzJJ+B2i3392JOyt7h4jtstKO7Tzz2nemjpSy+qvnnpVdlPDHjzbZt+YsCKVatIP22Ua4YdO3eqftrb1ib2ncOBI8eOmXUCw+EjR1Q/fda2V+nU7em5oL9nl7oYY+MZY2vJv9OMsVsZY/cwxvaRx8vIa25jjO1gjG1ljBV/ke//36mtW7cqCgsAa9euxZgxYy7464wYMQKHDx/GsWPH0NXVhRdffNHrOadOncKwYcMwcOBAbNmyBR9//LH63ODBg3HmzBmv18yaNQtLlixBe3s7zp07h+effx6zZs264PcHAOvWrUNmZuZFvdZf/vrCa9w4kT5h1I4dghI/9JAeCf3HPwp7FfmPxy9jXdILZAdj0oMMZKRTgpytSJbIQRYEqnDuXO1BVt5aM8lqIBO9mpsIyWomJKu5BUFBgQAXzwmU6waSgyy8tTrFQpHRwkLls6UEeepUSrJIOgMho2ZvbbRaGxO9ogwPMueIjdGpA0mJSQgJFTQvIy1NET9vnWiKhSTIxSWKjFaX+9CpoVFMGQQ3Ez9ns9apgehUS4hfpc6tLSslpJ3oZMqtzc5RyR8TCUFOSUxS0wdNBNkgoz09GBIeLolflNIpLjYWoaEhQr/0dFRfU4mf52Zi8Y9vQEhwMDycI2vqVLUumj4Dby/5JxYv/wTPDxmN/9NQhHvzJ+LVB+9W/VReU63IspUg034KDpYJKS0tWpvmFuVHrmloUAT54F3fx30FObi2PA9Dv/l1236aqSbEmcloRoYmo9RbGzea5CBHRQt/ew9HuOwnRUa58CAbOiWTfsqkKRbK0w6Tp72I9FN5iXXfhaieUCc3pJ8WUZ1Iekxzo/Yg15Nc7SpCkMuKS8WaE51g1iknK0usPeZ9l5SYqPopNlYT5OjISKmTR/dTVLRtPwWy/kWQOedbOeeTOeeTAWQDaAfwvPz0b43Pcc5fBgDGWBqAZgDpAEoA/JEx9qWM5jh79iy+/vWvIy0tDRMnTsSmTZuULeJCKigoCHfddRemTZuG+fPnY8KECV7PKSkpQXd3N1JTU/HjH/8YM2bMUJ+LiIhAfn4+MjIy8IMf/EA9npWVhWuuuQbTpk3D9OnTcd1112GKNb7Kpuw8yH6C7K8vZXEOFBSYH9u9W023Q3U1cNtt4rHS0sv//i5BXVIP8smuTox8dDG6urt7yWOlXkgfKRY0nWH9BXiQAZnNKtMZ1m8Tz+dcZCtn0BQL6a3d8RmQMlasqQeZemsPHQdGGR7k08Rbe454aw0PcjfM6QzeXkiTZ/TgMSBK6rT3IDDaLnWA6kQ9oztExmxfvdqrNwNZaWL96RZ7z6gvnahntPUAkNBL2kevHmRfOgWaJ8RJnaZ0ujF7/xEsDwnCyhc/QBBj+NTlQnpwMAIBfNLVhSnBwQhiDC/Ag7offl3rlDJWeZCf37QHAQx4+Vw7ykJDEcCYyYNs8tau3gRkCU/gnb9/Enec7YKHMbzU0Y7ygSITuTZtDN6onC102toqPPNe3lof/UR1OnEaiCA6DbV4a7uMCXFBIr0hhOoUJnU6QfrpKBA13LufaA7ytj0yBznApBM2brf0k+Fp3ywSTxjVxtCMpqKcp5+sOiWN6X3fGV5ta4oF7SerTr30U3/2IDPGFgC4m3Oezxi7B8BZzvliy3NuAwDO+S/lx68BuIdz/pGvr9tfUyz8pcv/+/BXv6y//hUw/qP1qqvE/QpGZNtlrisiB9nBmPAgcw8yUtMUpcqeMkXRqPw8a4qFeE5p8QKVYlFVoVMs6hXJApyNDYo4U+K3kPhsnSSdoYHeTV9VhQA7glxUpIlfrpn4OeQ6UxE/kc6gyWi8mpo2IioajoAAoMcjiB/niIyIVJP0Yo3cWhgEOdRC2jlysrUHOX+GnqRXWGBD2gFUk9SB+pparVNDo9bJSXRqNsiopIJSs/oaHwSZ6FRoTNLjwMz8PKVHTna21ik9XZHi5KRk9TjVKdpGpyiVYgHEGp5RANkx8Vjx9Fv41Zsrsar1pPIgU4KcO3Om8ikXFhaRVBSdFx128w24pWYu7pw1GR136kSLBmezen6LkfbBOVqadT/VO4XXnQFw3fkD/LRoGr5VmouB37mBkHad72vSieRq52RnEZ0ytE6EtMfGxhBvbSQYY4CnB+GDBwMcWicIv3JoqHjvyYmJ2oOcnmHbTzPziKe9sFBljpeVlKjHq8opQSbpMU1OlT+utOFCM4O0O2k/kfxx84mE1qmooEAR5Hzq1c7O1qQ9PU3pJAiyJO2xceI58pTG0GnIYONEQveT8moDCHR8MX/c+1jNAB4nH9/EGFvHGPszY2yYfCwGAL3Tq00+5i9/+ctfn18dPaovjhcu/EIvji9nXXKCPOLRxSIHuS8ki95Nv3kXMH6sdx6riWRJ6skYsGaTpFeUZEHn/nIIgjxpvDfJ2rIbSEsw5yB7PGJ6nV06g0GQPR7geC8EedBAQbQ8XN9NHxJkQ/wMguzwTZB71UmS9g07xM+hUgeS9fQ8O50IGTUlWvgi7VtbdToDJe00xaLtCBA/wkxGvUi73eQzqpOZjGa2d2He3sN4JXwg1jz3DoIYwxaXC0mSGn/qciE1JBiBYPjY1YWpgUEIYgzL4EGtQZA370JJYCDGnmnHIw5gQWgoRnZ04fi2Pfhr60E4ANwXFoz7bmwSmq2yaiPI6O1/eAp3nHPBw4BF40ZhacO83k8kdhKCTFMs2g4D8b7SGXo5kXAZpN3op2CS9iFPJI6eBIaFy37yse927QPG2PQTJcgbtp+nnyBPIaRO6kSCm6fqrZcE2bafznMiYZceo/YdydU2+onqpEg70enEaWCwJMhDI7Dd2f9ykBljwQD2A0jnnB9ijI0AcBRCzZ8BGMU5v5Yx9nsAH3POH5Wv+18Ar3DOn7F8vesBXA8A8fHx2Xv27DF9Pz+x7F/l/334q9/VuHF6fQlSKS60nnzySQCA0+m8qNf3G4KsPMhp6dJbC2QTkpVHJsQVkHzfUpKDXEXSGepqNMlyNulJes1NZpIl8lhp0gVQX2dDRmF4a8W6qLBAUb5ZNLc2y0yQNfFLNBFkhyKjUYJk9fRgyJBwQfxUHisQaxA/7kFSQqKNB9mqEyHIRKeSkhKlR3VVJSHthCA3NRIyqnVaaKRYAGgm+cgNZPJZdWWlIu2C+An6V1RUpKbqmTyjOVk2qQNAcpLWKS42BswhyWhkpNYp3NBJE7/kkaOx5qm38Mu3VmLtur2KGqdnZiIkOBgcQNr06XAuLMVP8ydiyR23KII8t7BIaXZPZjaWvfQRfrP8E5zBMDz36r/w0Bv/ws/y5+C7VXNw29wsfLb4XtWLLSQVZSHJ99374E9x1/zpuGnBdAT96BaTTqqfjAlxRj8ZZDQ3T/VQTk62jU4cSQlJRKc40U8ejqjIKLn2EIIcJU4kuNBUnUgkUQ8yIcg0fzxf9xM9uSkrIZ72yvP1EzP1UEtzi9Kpiey7hro6rVOV1qmU6jS3QOmhTiQ4kD1Fk/aMNH0ikZSUpB6PiSH9FEV1Ev1EPcixlCD3Mw8yqVIAqznnhwCAc36Ic97DOfcA+BOAafJ5+wDEkdfFysdMxTn/f5zzHM55TlRUlO03vBBQ4q9LV/7fg7/6RXEu/vX0ANOm6cfJjbRfZDmdzou+OL6QukweZAtBph7kXW3AmNGCWG3fAyRSkmUhow6HyFfNSOkDyfJBRu0IsnWSXvIYgHuA3fuBRIOMHhIE10qyjp0GomxIVqdLTtKTJMs233cAEBBo9ozS3FoT8fOhkyLIAZL4Sc/op5T4Sc+ogwltvDzI3KLTdpGbzLnIVk5PlsRvtyB+nAM7fOjky1tLdTrTrvOiXS4gbKCNZ1SQ9gFkkt6Onm6MYQ5BkN1uJAQHIRAMH/EezPnh14EAByas2Ig1y1ciEMCL3IPaHwmCnPfGR3h99XYEAni1owPFcpLeb0MC8KNbFpr7ySHputeJhIWMbpCk3ctba6OTF2knBJl62r1ykC0nEl3GxMEg0W+hlIzKE4mjJ+wJ8mcHgRhLPxkeZNVPO0U2sSLIdv1kdyJh2Xd0qt462U++9h3nZtLu06tN8qJPUIJMTyS6pQfZJd5HSDBwrl3kRgcGCH3lJL1+TJCfAPAa5/wR+fEozvkBuf4PANM5582MsXQAj0FcMI8G8CaAZM65z3gOu7/hu3fvxuDBgxFh2FP89YUU5xzHjh3DmTNnMI4SO3/563JUd7f4u+/xAMnJ3p+/7jrgJz+5/O/LpowMcWMc/YVWX/+GX9IL5FMuYbHocrmQHjEC208fh8vtRlZ0LDacOAyX24W80WOw8sgBuNwuFMUl4b2De+Byu1EyJgVv7W+Fy+1C5dhUvLZvJ1wuF+oS0/Hi3u1wuVxoSs7Ekj1b4XK50JIyEc+2boHL1YWWlMl4pnUT3F0uOMdPwnOtm+HucqE+ORNL92xFt8uF6sQ0vLR3B7pdLpSNm4DX9u1Ej8uNojFJeOfAHvS43JgZOw4fHW5Dj8uNnFFxWHPsIHpcbmRGjcbGk4fhcXcjOSIaO0+fgMflQuyw4dh/7gw8nS5EDx2Ko10d8LR3YEj4EJzq7EDkwEHo6HHjXFcnYsOH4mhnOzpdbiQOHY629jPocrmRHjkC208dg8vtRnZ0DNafOAKX24X8UWOx4uh+uNwuFMYl4v2Dn0mdxuOt/bvhcrtQNS4Vr+7dCZfbhbrENLy4d4fUKQNL9myDq8uFlvET8UzrZrhdLqHT7k1wu1xwpkzCc3sMnTKkTm5UJaTh5TZvnQrHJOFdq05uN3JGEp2iR2PjCTudIrC//Qw8nV2ICh+KY13t8LR3IDx8CE53dZp0ihk8FEm7PsPsrbuxYVoWnvvDY+ju6gJPS0VlTgJydrXh0+JCvO46DZfbjWtChuGRX/433F1dOFdUiBH5CUqniDffwqgjx5E0PQ83PPQnuF0utC5sQkZiuNApJQNLWoVOzeMn4tndQqfm8ZPUuil5Ip7/bAvcXS40yP7rdrlQlZiGl/ZuR4/LhZJxE/DGvl2yn5LxzoFW9LjdmBmjdcoeGYe1Uqf06FHYcuIoetxuk05xwyKwT+oUGT4Ex2U/hQ8ZitNdHYgaOAjnul1o7+pC7OChONol+ilpaCT2tp9Cl8uFjIiR2H76OLrcbmSPiMH644fgcruRP3osVhzZB5fbjaK4RLyn+ilF9JPLjaqECXi1bRdcLhfqE9OxTO47Z3Imnt+z1aafJql1Y/JELGndArfLhfqkdCz9bHuvOhXGJ+Hdg6Kf8mPG4eMjYt9lj9I6ZUSPxuYTR9DjdiMpIgq7Tp8U/TR0OPZ3nIWnowtRQ4fiWGe71qmzA1Fhg3Cu2y10Chef73C7MH5YFLY03dTnv2fqj+YlvEBmjIUB+AxAAuf8lHzs7wAmQ/xnWSuAG8gF808AXAsx2fxWzvkrvX19u7/hbrcbbW1t/1YWsL8+nwoNDUVsbKy6V8Zf/rrk9cILwC239P6c2bOBv/yl3/iOL9dNel88QfblrbXzQiqCnHweD/ImYAolo72QLC49yKmGB/kzIHmsDfEjBNnLgzxUUK0z54Ch4cQLKT3I3GMhyEE6xSIwsG/Ez0j7sCXINjp9ulUQP+YQGkweb0kdgMWrLdM+wIXf1I60byU67SBe7fORUS+dzkqdesyk3Van08qrPaTtEA78/RUEMYa1nh5M/dHXvSbEjV+xEavfXIVAAEvhQdP3vyaeQ3Sat+xdLJOT9ARBbtFT4SbbpDNQzex0Mry16TZklJL2PnvapU6UjCpvrchg1pMZpaf9pPbWmjzIfTmR2NYqplZaT25oKsqnZJKeL53ovjMIMufagwwupvPZkna57ziZpNdbP6kUC2PfWb3aRKdz7aKvDII8OAwICETy0Ahsc/bPFItLVRf6N9xf/vLXFVynTwOTJtl/7qWXgH/+E/jWty7ve+pDXREpFoxBplhwpKXpPNasKVkWD3Kw9CDPFWtwFBcvUI9XGikWFg9yUyPxIJN8X2eT9ow2NTWptbibXvyXeVWF9EJyjtIS6kHW3lp6N322Kbc2Xfkf9d30HHFxcXAEOLRnVB5XDAkfAkB4kAeGCS9kTEwMQgeEAtyDxMQE5RlNT0tXXs/snGyRN8s58nLz1c9aaEzSUx5kqZPhGeVAHclBbqJebZLI0OKU/lEONDY2ap3q6rx1gtDJ8CMXFhVonYhXO5t4a710kv7s2Djt1Y6KipLPkZ5RiPGRhk6xsbFSGw8i0yeg/BuVuGfmJNxx980kFSVLeWsjKkuxqLkYd8+ajCcfuAPBoYZXu1hn/VZXIVT6bGsbGohOTWadZD+1tDTb61QrdeJAZUWF0qykuFjoxIHCggKV9ZtPJsRlZ2md0olOiYkJWqfYGN1Phk4ebkr7GDhwgNIpVCZXJCYmKj3S07X3X6RYiHV+fr7ypRcaXm1wlBQXKz3EvpOpKHW159XJSbzaSifIfRdk6FQpfcccxSUlRKcipVNebq5tP6WnE50SEpQ/O9bwanOzToPDBgGci34aOBAAEBcXL3XywIH+QUP85S9/+euyVE+PyCseN078oxfHEycCv/41sHixGDefltYvL44vZ30xKRYmL6S8m97hALa3AonxxAs5lniQe/HW2hI/gyATSkqJ34btQGaKfYqF8tbuE0Sbe4C9h4ExIwWxOkxI1rFTInXC6q3t6pIEmeT7tncIv6hBRsMGCqrlK3WAkFFTXvQFe0b7ohMl7YQgb9whvo6XTnskaefaM8qtZPSYOCkw5SAbZHQQIX59Ie0BwJGTwHAbMvrZASBmRO/e2k07BdV1OFC07F0s3bRHEeTbv9Oi/dkGGTVSLBjEOlvmRa/ZCkwZb+4nq06UtO/8THpruZm0+yLIJk+7NS96oPBscxBvLfW02/TT/iPAiIi+60T33frtgoo7mDyRSNE9NCXV+0TCy/tvZCJvk75tK0Fu1akoVCeDtPO+pFhYCLLLDQwcIHQCLASZknY/QfaXv/z1FagDB4AjR8QFsC9v+65d/cY+0Ze6YgiyIXmahYwa67z8PEWjCgrs0xkoyaqrqVHrpkYzyQq2IVlNTU5JuID6unpF/KqqqvXd9MaEOACFBXMVyZo5c6Za50zNVvTPREaTkyW9AmLj4hRNjoqK1mRUTvSKiogkBDkWIQME8UtITFA/kybIHFlTKEGmOchWnQT9M+lU60Mnpw/i16TJaF0tIchVeuJgaSkhyAVFYs2A/Lw8ldSQnZ2t9MhIz1DrpKRkMxl1BPSJtMfGxCB0gEgdSExOFDRU/g50P+XoE4l8PZnR1E+lWqewm6/Ht+sKcNvcLGz4zU/V12kkpL2lpVk+H2hpWagIclNTI+knq046ncFOpzxK2olOJoKcnKj7KUb3U2RkpNJp8OBBkiBHYWCYyEGOjY1TOiUlEZ0yMzRBpjrlWfuJnkiEqp9J91Od0qbJ6TTvO5ViQUg7ObmpM05uFGkX2pSUFBOdCtU6Lz9P7busLKJTWrpam0h7XKzupwiiUxjRySDtcbEyI5r7CbK//OWvK7vefhvIyxPU+E9/0o+HhgJbtgA7d4rYti/RxfHlrMvnQabEj5JRWy8kAzbtAiaM9U6xOC8ZhYX42ZAsW+KXKIjVdpnva/WMGh7kHg9wWJLRHklGoyQZPX0OGGbjhTSInyLIgcCps/Zk1Bdp39kGjD0P8VME2aGJn4mMAli1Gcg2iN8mPUmPTh+kxG9DX3SSpN1DSLsXQfZB/Ew6cR9pHwNtCPIRIDqij95aaz9tB9IsZNSqk6KhdqT9PDr5OpFopekMh8RkRIOMqsmMhLSbdOoipJ2b0xmCAoETZ4BwOw+yD5127gXGxnh7kBVpZ8D6HUC6PJFYu1X4iL10MrTp44nEph3iHgKlk+ynHT5Ie5vUiZ/Pqz2IEORQ3zqRfhIEuf+lWFzK8hNkf/nrK1J33w387W/ej998M/Dd717+9/M51rJlywAAlZWVF/X6fkOQOQBwIC09jZDRLEWmcvMIQS4sVGsTQTZ5a3Uea2NDoy3Jam7W3tqGpkblf6wjxK9S5ftylJSUKmJVWFSoPaM0jzVH5iADyDBykAEkJycryhcbTwhyJPGMDh4MQEzSE2QU0oMsyWhSovqZTKQ9W+uUN5OSUe3VLimmOlVZPMiSICvPKENzC9VpoYX4BXsRP0qQS4pLlDYFhVQnQkan6kl66YZOBvEzdIqNtdfJiyADMbGxSqeEpARFRtMzMlQ/ZWfRE4l8+34q1TpVkImDtJ9MOjU7e/HWBpv7yXIiUULyfb08yNK3rQgyiLcWwj9saBNDdVInEhyDpVc7KipaE+T4ODU9LzGR6JSudcoyeZBnqh4qLCSe9tISpVkFPZGo0/3USHKQnc4WHzrZEGQAVZWatJeUkn4iBDk3L0+R4uycHE2QqQc5KZH0U4wm7RER3v1ESXucJu2s/+Yg+8tf/vLXxde999pfHAPA1Vdf3vdyCaqydLf91wAAIABJREFUsvKiL44vpPrXJD0TGTVSB1gfiF8fvbWfSpIFK/HbJUiWhwM79sgJcRZvLfUgHzoGjLYhyKbJZ3bEzwcZ9Zk6cAAYPULosft8ubXM3jNqIu0QBNnWW2shfmqSniR+Ku3DB2mnubXxNgSZerVPtxPSTnWCnhBnq9MJYNgQ3zp5EeTdQNIYH6T9QglyL95aj/TWZspUlM2EjJ7vRMKag3zcl6fdeiLRi05HTgDDbXQyTiRoP5m8/wZpl/1ET25sCbKdB7kXgkxJu9LpfKSd9NNBue9sJ+kNMvdTl0yxsJ1gKUh78tBIvwfZX/7y15VV//mfwEMPifV//zdQUgJs3gyUlQmrhfG5L3Ft3boVADB+/PiLen2/Ich2HuSsrCzlrc3NnaHI6FxCRhcULyAkS3shaylBJt5ap1MTvyY1SU+QUYMg15K76auqKckiHuTCIkWy8vPzFeFSZBTC16mIX3KiDzJKiN+gwQCAiIhIRbJiYrUHOdEgo5KSGT9TlkFGYZB2XwRZ6lSpdaqpoToR4ke8tc0t5hSLQOpBlgkElRVVMmmA+ybIBhkFkJ2TRYgfIcjJevJZbLwPMjpoEAAgkhA/s05J2qudkaZ+7uxsq7dW+I4LSDpDMSHtVZU++okQZGezE8FBgrw2Nzt9nEjUkhOJCq1TiaETRwE5kcjLt5BRg7Snp+l+ohPiSD9FRkaCORzkRMJI+zDIaKzJq238TMqrDSArR/dTXh4h7QVW0i5eazq5oQSZpMc4m5sRHGysnd4pFpx42rnoUUOnYuLVLiDe/zziac/K1pP0TCcSSQlapxhCkE2kXegUFRmFATLFIiYmVpF2v+3OX/7y1xVTx4+Lm/CMC+CyMnFxDACpqcJrfAVcHAPADTfcgBtuuOGSf59LPyjk7zYeZIMgOyTxG2vN92WS+CV4k1ETydokslYNGpqVRshoungTlCZ/ulWQVINkTbQQZM6BbZ+JyXTWu+kp8TtoSWeIsvGMdnYJUuVyi68V6tsL6dtbK1MHHFYyugdIojqNI6kDiTbEz9CJJhBYdKLT4kzeWpu0D84lGR0j1r7IqKETtxBkr3SGARad+kJGbby1Dgewey8wJsabjG7eZU/afZLRjSLT16STzYmE1YNMc7U5Fz1NTyTOR5BP+PJq+yCjhk6nzuhUFF862aVY2HqQx8p+2iamKPrcd1Inw4O8aiM5kdisM5E/JQTZLu3DmoNspMd4ZIqFbV40TUU5591PpsmM9l7tlGGR2NrkJ8j+8pe/vsTFOeB2A5Sm3n478M1vfnHv6RLXFZFiQSstnRBkw4MMIJekWAiCLNbFxaW2ZLS2jpJRpyJ+zS0tmmq1tEh6xdHodBKCrMkoJcjFRjoDNzzI8m76mXlwGAQ5mxC/zAzxOCwEOY4Qv6goTfyGCC9kZFQ0BoRJkhUbY++tNTyjALKyciS55MjNyyXe2gKLTtJbW1Wp1rX1FjJqUD5ns61ODSTForaOpA5YvLWGTnMLC9XaTEYtHuRAks6giF+s0IZzREZqnQYPkTnIUVG2OiUmJdl4a8WJhJmMCmo8t4DqREl7pdLD3E+N6vEmpybtTc32aR9UpwrD084FrTa0KSAnEtRbm5WtdUpNIwTZ4kFWOkVFizU4BocbBJnoFGOjE6debeF7Nki7OpEAx9xCa6629LRXVfvQiZ7ckFSUFulHBtDYpGlybX2tPpGoqtT7jug0t0CT9tx8nRedlZXlTdq5SH5ROtF+MvYdOAYZBNnk1ZYE2V/+8pe/vuz11FNAQoL54vh//ueKvji+nPUFEWRfntFW+7vpfaYzWAhy9vlIFiHIG6kXknqQCRnd7YMgH7JLsbB4RilBtvMgnzgj8li9vLWU+BHP6C6SOuArL9oXGV1ll1tr0Wn1Fvk4F6+dMsGc9kE9o5Qge7hMsYgVa0Mn3gtpN6V9UDLqQ6fe0hkcNqR9rNVb6xBe6gn0RMKOtNO0j770E/Egb5DT4rw87XuBlHhJkPdJby339tZ66US82u4ewHU+nU4D4WLioIkgGznIXjr1lmIxlhDkJKnTFuFLtz2FsEux6AtB3iU87V460VztQ0CskWJxDBhpo5Ox79w9Iv/YKxXFcnIz2E+Q/eUvf33J6+hRYOpU82NvvikumK/wurIIMgdS01MVdZqSZeT7AjNIigUlWcUl9G56TUZrSA6yJlkMTjrRS63Nd9PX1hFvLfVCknzfgsICTUYJQabEz5Q6YJBRiDvkvUgWhyJZwyMitLeWeEYTEnVubZodGWWCqiniN1frtIBOPqvS6Qw1dTU2BNnwZ1uInySjirTXk7SPKhvPKDc8yEZubT4CAsQ6K4fm+2aopIbE5ESlTUycLzIabq9TqKGT9mqnGicSDDqdAcaJBCXIRj+VKiJcWVWlSTshow0Wr7bWyT7ft5Z6kOmJBJk4OLdwLiHI+XAYOlm9tVKnhCTdT0oncEREepPRiIhI7a2Ni1M6JZIc5LQMe51UKoqFIBebCDLVSecgNzr1yU0T2XdNhBo3NBLvf50myBUmguxLp1y176aQHOS0dBudODRpB8fwiAh9IhFuTGa0pFiECJ385S9/+etLVStW6Cl49OJ42TJg1aqvxMXx5awvhiB/RkgW9Ywqb62FjK7bJqZvWUnWGuKFXLXRxoPMzXfWGwQZxFtLCbKXB5mQUSO31kpGj50U6Ryef8ODbJdiYRC/WDsPcqsmfl462XhGKUFeKWmol06EIFOd1lNvLdGJepB3W3Ty5dWOHGajkwsYZPUgWzyjBmk3yKhDEmTrhDgTGWXA1j1AMiXI1KttkHbZT1adLrif+nIiQSYzmvJ9LScSdjpRby0/Tz/ZEWSrB3mnVac4C2l3AOu2y31H+snYd1PIKYSh08qNQE6GjU426THn1cmmnw75yIu2S4+hOp2Vk/QsOvkJsr/85a9+V4cPA+HhYpiHUT09QFKS/fN37BAnh1+hWr58OQBg3rx5F/X6/kWQYSHI2ZqMzlBeSJhSLOYTMlpRVYUQG5JVr4gfR1Oz9oxqby3QQFIsaurqEBgkaKiJIJdoD3JBkZmMGsRP5LE6vMloShJYgKBX1DOqiB/nCJfe2ogIcjc9yfcdR3JrlU4MmJKdrcjljLxcopM9Qa4wJp8BqKm1EGTiO7bz1jY0NhCdarVO1ZWK/lkJskOuc4lOWVmatKdlpGudkrROo2NjiE6Ram14kCMI8RtNSbuRYsGAtIwM237KVTnIDAVFRKeSEtVDFSbSTtIZnESnZqpTi9LG3E9EJ+pBNhHkAqKT5URC9lMaSbFIoDrFaJ0UGbXoZNdPCcSrnUpTLJQHmXr/GeYWFageKi4p0wS5mupUq75OQyM5kSA6OVsWIijYOz2mpq5G6US92gt86qT7aQoh7SadEhKUHqNjbPYdOAYZXu3oaItOfg+yv/zlr35U7e1AU5Mgw9Oni9SJceNEPNsvfmF/cXznncD69V+5i2NAXBhf7MXxhdQlJ8jRf5c5yLaeUSbzWK1eSCa9kIZnlN5NT72Qm4VXljFg5QYgJx2Cahm+SCvJ2gJMMrJZpWfUloyOFWRvV5vwsHIPsNfirbXLQT59FhgarkmWF0G2SR0IkB7k3oifyVtrJaPEM2oiyHaeUUmQc6i31oYgr90qvLgGac9IEWtK/LZbSbsNGbXqZJDR02cFMXcTnUxklKZYnAYGhZ3Hq+3Dg2zy1hIPsh1pt+qkfMeGZhadOAfW9eFEwkixsCOjcSPF+tBRMVnSYyGj59PJBxk1E+TDwIjIC/Ag7+h939mR9mxrP0H7kbkk7UY/rSc6mVJRSNqHNT0mbqR4jtWDTCcODrN4kH15tY9Lr3ZgAMYPi8KWppv6/PfMKD9B9pe//HXRdfIkMGWK/viqq4BHH+3ba2+6SUzB+4pnVK5duxYAMHny5It6fb8gyJzrHGTqGZ2svLUM070IsqBa84kHudyYfAagmpCs+qYGtW5Sd9BzNDU7FclqIJ7Rmrp6RbUqqqsQECQo1QJFRrkko/Ju+pn5OnUghxC/jHRJqYTfU3tr4wT9YzARZIP4DSee0VGjZeoAsxK/NG8yCmCGF/GTpL2kWJHRckqQKWknBLnJ8NZK6m7oVN/UqNY19XVap8oqRf9MxI+QdkH8pGc0214nExk1vNqMI0KlDkARv4hIrdPoGO2tTUhIVD9HWroNQVY62ZD2EkuKhdFPBmk3dJJktNFJdGrROjU4GxVRpycSFZVy4iDnpJ/MaR+5+XmEjOpJemkZmdpbm5hg7iep03BC2sOkTsOJTjGxsQiVR3LU055qkHZ5ImFok2vSqcBeJ7rvyGTGBtVPXHuQpWaBMhWlvpHoRPvJtO+KTTo5ZD/NIKkoSicvDzLtJ+rVJjoNFrnaJq92fJzSycM98Je//OWvy1r04hgwXxzn5ACffGL/uvvuA773va/8xTEA3Hrrrbj11lsv+fe5jB5kX8SPeCG3terJZybPqC+C3BdvbR8I8uZdItVATdIbRwhynLcH+cAxIEaSUV8e5A5LioVBRoOCgGCZOjA4zNtbe5CS9v1AzEgbr3br+cnomi3C99kbGbUjfnYE2darvUfkCnMPsGsfkBgLcAhKGT9KPOcgIaPHTwKRwyXxsyHtlPidlcTPl05e6QxUJ0mQmeVEYuNOIFX206fbhA+2N51WbhDa+OwniF7sjbSbTiS46PXEOKFT20HfpN1XrnaYpZ8oQTZ0CggAjh4Hhg+VXm0fBHnnZyIpwsGALXtEgkRvOq3dDEyc0EeC3ItX20SQrR7ksUKPVpr20cuJhNJJ9pNberUHWbzaZ9rF/3p5kKOw1U+Q/eUvf12OeuIJ4Lbb9Mc//jFw//364927vV/zwgvA0KHA7NmX/v19ieqKSLHgXFwLAMCENE1GJ2dZPciCjM4poGRUe0bLK6tsCXId8SA3Nptzaw1iVU8mxNXUmklWoEGySIrF3AJKkGeS1AFCsjIJGU1O1h5k5YUEIqOjFE0eNESnWBi5taNJ6sA4IweZWUl7to1Xm2PuXKITyfelBLm6vlZRROrVbjRSLEAzojnqqWe0vs7WMzrfIKMejrmFRRbSLp4zJSdHrgUZFdoACUlSJyYJstRGkVFwhBlpH5FaJ5HOECp10gRZkXYGZGXnaIKcm4fgYNEHc1QOMsOCUp3OUF5dpbSpqa9T6wYTaW8RSSs++4lLgiweL6+UZJSL34mh05yCAqkTxwyjnzgX3lrZT6mEtI9LIgSZetqjopSWyoMcFWVOsRgQKk8kkpU23gRZ9tPMmXrfzSuQGvjWSRNkbtp3lCA3OZ3kREKf3FTXaq92eZXed/PJJD2tEzAjz+JBVjqlaZ0S9cmN8iCDY3hkhE5FMXSKtpmkB4D7CbK//OWvS12cCz8xvTh++GHghhvERbHxz66qqvwXx19gXR4PstttIaPn84wyYNMunYNs5601SJaR6Uu9tcozCt9kdD0hyJskQVZkdKwkfgYZ5SKTeMwo4hmNEmtf3lprDnKoJKMhlglxlPiZyCgTE+JiRwgaSj3IW1rFHf9W4ueTIBtT4ShpN3zbGb3r5Iu0byc6Gd5aDkFz40dLgtwHD7JJJw8QEiJIe286UTJqOpFgwM42YJyRztAKJNvoZEeQ7dI+aD8ZpxOUjFr7KbMXnWgqiiLto23I6EnpreWEtHdLMmol7dSDTLzavlIs9tBUFOJB3rrbopPlRIJJnSaf5+Rm5Sbi1e5Fp9723fnSY3z1k9LJLT3ILtHXRg6yDWkfPywKW5z9iyAzxloBnAHQA6Cbc57DGBsO4EkAYwG0AmjinJ9gjDEA/wmgDEA7gGs456t7+/p+guwvf13G4tw7eu0vfwHmzPlC3s6VUlcMQWaAIFlp6YRkUYKs0xlmKzIKzCsuVvSq3OQZrTWTLMMz2kzIaLMPMko9o9VV5G76EnUHvfLWcpEVa9DQrKk5imoJMmp4RhMF2eMco2PjFOGKIAQ5LFx4IYdHRmgPcoz2II8z0hkATEg3yCgTOgXbkPaiQvX8+ZT4mQgyTfvQntHGlmZJRjmaWlpMOgXZpDOYSXuJtweZGxPiDII8VWlGyahJpzh7nQaFhwOMISKKepCpV5uSUZ3OMDlbe9pNXu1CohM9kaimXu3z91NTs1PldteTvGhTP1URby3RaU5RocqIVukMnGMKyYs26ZSULHqLcYyOjZXaMBNpVznIhCCPJmTUTNq1TlNy6L7LV3ttjvJqGzrpEwnjZKOm3uJpD7b2E9DYokl7XWOj0qZa9RNQXmVzImF4tQMMDzIhyFmaIE9ItxDkAIv3H0BEVKTSbNAQo5+ITkbaBwM86nyr31UB53wy+QP+YwBvcs6TAbwpPwaAUgDJ8t/1AP77sr9Tf/nLX/Z18iTwzDP64/feE6TYf3H8panL70F2MEmQR1pSLKgH2QdBZpIg23prNwBZ6WK9QpJRxol/FMJHOdnwIG8TJNonGQXxjNoR5GidgxwtvbWnzxBvrYukWBAyStMZ7DzIBywE2TbFolUTP5r2YaeTgwmyl2X11vrSiQtaOEXqdD4yatIJNh5kSdqPnZSeUQ6cJR5ku7xoStp9ebUPEA/yZz7IqK9UlL54tVfIVBSrTpSMrpETB3sjoyrFAqLXEyxe7fOdSNgR5N48yD692kzqJPfdrjbt/b/QE4lVtJ/sTiTOQ5CtHmRTrjbViesUCw8XKRZ2pP3sOT1JT+VFWwiyyos+BQwe1G9TLCRBzuGcHyWPbQUwl3N+gDE2CsA7nPPxjLGH5fpx6/N8fX0/QfaXvy5h/f73wIMPej++YQMgo0v99e/Xhx9+CADIy8u7qNf3G4Ls5UFmDJOVF5Jhem6eWmsPMjCvRBPksqpKRbLMKRbaM9qo8lg5Ghc2IyhEeiGdTZJeeVBNPaPV1bYe5Dkq35djRv5MRUOnEIKcmpGhiFViUpIiezFx8ZL+CeIHY5LekCGAg2lvLWPSgyyJX2KiIntmgqw9o9PzctXjsws18ZtXbE/8qigZbWrUOrVQnVqITk5N/Op12ofJM0rJqMqtpTpxZBEPstBJkPZxyUmEjGqCbNLJJp1hVCwho0SnVDIhbjIho9PJicQcciKxwKQTTUXRHmRTPy30oRM5kagm6QyUjKoTCY+gs4ZOlCBPzsnW/ZSernUyyCioV5thWITUCVQnMxm1I8imfsrJIaRd50XPKbISZJsTCbXvOOqcpJ8Mui7vA6AeZEObqtoaew9yMdFpLumnPGuKRaD6WbRXW/fTKCMvGsBwSpDDwwGHJMhy38XExSudevqnB5kDeJ0xtooxdr18bAS56D0IYIRcxwDYS17bJh8zFWPsesbYSsbYyiNHjlyq9+0vf31165lnhM/Y7uL4pz/1Xxx/zpWXl3fRF8cXUpeeID+6GF0ut5n42XqQLSRr006dYkFJ1urNgkYZxM/wIK+SZNTqQaZ31lMyahBkWIjf1lbxfU2eUS5oruEZPXAUGC0J8tGTQLTFM9pjpFgMAFzd4jWhITKdIVAkWZw6LTZNoPTWDhsifLY0dUCRUeqtNcionHxmIn5bRZKCnQc5i/qzjTUlfpsEgQeX6QyWtA9w8b0ykqRntFWmWMCGINvoZJD27h6ZzmDRqcstfl8GGQ0OEjqZvLXHgQgbrzYlozvbgIQY4dv28tba6bRZJCx4ZR9bSPtUqdOqzTpjW+kEYP1WIJP0E81BVqS9TXva9x7UBPngUUFGraT9jJW003zfEJ9kFEdOyMmMAUKnkVbSzsQkPZViQfbdxh1AaqJYU6/2auJBVtPzmDl/fOUGINs4kbDTyRdph9x3Y709yG0kf/zAMWB0pCbtUcPM/WSQ9rCBIg+ZwzvF4oTup37qQY7hnO9jjEUDeAPAzQBe4JwPJc85wTkfxhh7EcD9nPP35eNvAvgR59znH2k/QfaXvz7H8niAxETvxyMigF//GggM9N9kdwnqyiHIHBYyCkwiKRbTcwkZLdJ3088jJKusSt9NX6W8kBy1DQ0IDhLrBpJb2+BsUt7aOi/iJ0lWdbVMHRDUzGGkDhQVKWI1nZKsnBzpeQTSMjMU5UtIMUiWoHgwvJDRUerxsMFGDvJwDAgLAxxMkNEBoQBjgviFhsoUC506MIl4a6fnm73ahjY0B7mMpH1UETJa19iEYKKN1smptKk1eUa1TmVGbi0H5peWKq/2nIJCRUNFOoNIapicna100qSdi9xaSflGKZ241snBVG6tSPsQOo2Oi9M6JfvwahMyOj1fp1jMIicSZjJabdJJpaI4iU4qFUUQZKVTk9apqrZOnU6UVZF+Ki1RfuTZBQVKp+n55n5SBDmTkvZE1TdKJ8YlGZU6Wcmog2FUbJyZtBv9lEm9/9kmghyi9l2h6pX5paX65MbwanORimLSyUj+ICkWDc365KaO6kRObspMqSjFihrPLipUeiiCDOEv1/1kIe3WfmLyRCLAAYDpXG2LBzlEpn30Rw8y53yf/N/DAJ4HMA3AIWmtgPzfw/Lp+wDEkZfHysf85S9/Xao6dEjQ4nHjzBfH48cDTz0lfMYrVwKFhf6L40tUt99+O26//fZL/n0uKUE+7epC9KMPSIJ8IRO9evOMUuJHvJDUM7pyvSRZ8O2tpQR54w6Rs2wlfjv3ClLrkcTP8CAfPCLJKCc5yD3AqbOCBPf0AO2dYmJXl0t6RkMEyQoJFhT5pJykp8joEE387PJ9aV701t1A8litU2qC+LlNqQOEtPskfj50ov7RdduBSZL4UZ22tWrSvrvN24Ns1enoCe3VPiN1cncDnS5g8EDfOp2gk/SO60l6+48AIw3Svp8QZEJGqU4GGWVMEOTMlPPotF7SdQtp9+nV3qYJ8sadQLpB2vdoMqp0IgSZc0narQTZc34yapD24CAxgc8gyIcpaacnEoZO1hzkVpmD7AA27BD0mzFBxX2Rdl8E2UhFodMsezu56Y20e7jIi1Ze7WPSq03yx3t6zP1keLU7XeJ7qH6SOh0/BYQLnSYMi8LmfuRBZoyFAXBwzs/I9RsA7gVQBOAY5/x+xtiPAQznnP+QMVYO4CaIFIvpAH7HOZ/W2/fwE2R/+esi6/RpYNIk+8+9/TYwduxlfTtf5boiUiw8hgmZARMoGc2aQjyjeYpGzSqYowkySbEorapQJKuylhBk4q1taCHEr2WhSh0QBFmSrPpaTbKqSW5tWZkifnMo8TMm6cHiQSbET0/0AkbFxWkyOiJaXHAwJjzIjGF4dJTK9x05OoYQ5CSVRDGB5CBPIjnI0/JyNfErLJI/K8P84hKEBGudlAeZ5PvWOZ32xI/q5CSkvaGB6ESIH9FpNiHtM9QkPYu3lpJRRdoZRsfFywlxDMOjIpVOYTLFYnhUpNLJTNqTJBllSM2kpN1MRoOJTuYTCfH8sqpqta4kJxJ1TZSM6smM9U6nSvigJxJV9ZSMatI+jxJkSkbJxMFJ2VlCD+6LIDMLGY1QZFRN0jNIO4Sm2oOsSTs9kZhi5EUzCNJuIsihop/KSk06qX1Xp3O168gkPS+CrE5udNpHJUlFKasiJxIlxUqnWXakHcBkqwdZ7q+xxr5jYt/pfooS/eRgOhUlOkrpNCpOk/bu/udBHgHgfcbYpwA+AfAS5/xVAPcDmM8Y2w5gnvwYAF4GsAvADgB/AnDj5X/L/vLXFVgffQTMmAH86EeCFB886H1xPHIksGIFsGuX/+L4Cq3LQ5DdbjMZ7YsX0iDIBhnNPA8ZXbEBmGpHsuw8yBAUURFkSvxaBRlV3tp44X+kxG//USCGeJBHSG/t6XPA8HAbMgpC/ILtJ8QNCxdr6q3dc0DcwW9KHbB6awnx+7QXnQxvrZW052T2opONB9nQaXur8CArMhovHv/sgCDtiowaOp0QP5fhGR1GdBpkkFELQfaV9mEio1Qny4nElt26nwwy6mBisltmiren3eRBNug6A1aslx5kmFNRaHY01WmToRO0t9bUT9wmxcKHV3uYXT/ZkFHaT4ePC50CA4B9h+1J+469gtIyi06++slnYowk7VadVCYyRC/a9RPVadtu3U+t+4CEOLHvaHrMQdJPxyVB7qsH+UtAkC9H+Qmyv/zlo37yE+Cxx87/vA8+AIYNAwYMuPTvyV+2dWURZJjJ6MTsKYpeTTN5IQsUGVUEmQGlJMWiqqHOhmQB9S3NJm+tQbJqySS9qnriGaXe2rJSRbLmGmSUc0zPz1f+xynZOZr4TdQpFgkpSYpejYqLlTRUeJAVGZW5tcPIhLiRJLd2bGKCWmudGCZPJd5aE2m3eLWl55amfZi82iTfl5J2QUmlTibPaK2ZINuR0ULi1c7PU5m0wqtt5PtqncZRnWK1ToqMMk38hkdLgsyAkbFmnQwNxtvqZDmRoJ72Up1iUVZVRcio7qfaJpqDTFMsFore4kBtk05FqWqot9epRHq1PR7MKiyw6SfDqx2gfucGGR1neLXlz650MvWTJu2hYWEwUlFMBNnopwwfnvaZ+fJnBWYVFiDE2Hcl+kTC1E8N9UQnfSLRuHChTrGgOpH0mMr/396ZR1d13ff+u68GJCYh0MCgAdAEmsBIwkESNhpsJDFIgIQk7Kzk2eu5qfOa+LVvtU1fmteVuKtZddz21Y29VlaSuk2nJE7eS+LGTmonafwSj2DAIGbEYLAZjRnMJN39/tjT75x7zpXACMny77uWF4eLhnO//K68+ezv/W6aQV5LfWpxGeRGR9qXLltmSfvimmrnU3mZm6cCN08zLWkXSCcZZHsyY2aGIshCYHaeI+0D0bGXQWaxWCOkI0eAJ55w+eHnngOefdb9fjiL4wMHgNmzeXH8MdFtJMgnVQ9yQoIvC3kU7uQzX2bUkixfZvSOBQACyKghyJZkCd+pert06wXNQgLo2+9I1u5+TZClIn6Fhoy+G0JGTQ/yoOpBnj7NR0Z1D3JqeBZSkdGpQES3WGRluJPPcrNjfdrdr7qeIA4iAAAgAElEQVR1DRktIz5Vap/8ZNSS9u2KGlvipwmybbeAL4NMfNq5X7dYQP1dGdIelNWO51MgGR2GTyd1VjuSoOZpqAzy7n6VaxURYOe+kHnqUw0L/k7fIDIqtZfV8XYktE90R6JEzxPNaoeSdjpPFxUJ9s+TaUW5cElntXUGefJkICkBOEEz7cYnTdrzZio/aAaZvu7oPG3do/LnQqhWijsWBPtkXmu27cM3T2/uUic5xtuRiNm58WW1o9qnOVmxGWTqkyHIV2kG+ZJq/fDt3CxIz8KujZ8d9s8zIybILNYYk5TA3r3A6dNAXh6Qk6N+PkkJFBer3aXh6JOfVEdAZ2SonxlGV6+q3V8hRub+WTekrVu3AgAWL158U58/JgjyoIzCrL9LysrsO+sXkX7fGpKtXd7YaIlfEyFZLX4yqilfByGjG8jJZ529Oj8qpZdkdQZkkKNRNLcSktXcpK4B3FnvepAXB5JRiXlFhTYnOjsv31K+GZmZlmrZbG1WpiV+NAupyKjyZkFZGZJTNPEj/b7UJ9c6oMko9Sl5gqXlwVntTY4g9xqCHMU6024h4SGjrYb4+Xxa3tjoy2orzxZVu2ztAupTcYHtp40hyPqaZrWNTzOpT4UF1qcS2oNMe7VpBrmp0TZaUJ88OxIbCBml7Qy9AQQZZp50tpbsSPh9stnapkY7T0trvT3IxqcSSkaLCq1PM3Nz7TxNz8ywczZ5aprN23rmKVXliOcW0RaLcuvHouoqezLjUuITfd1Zn/RrxFyvITs3fp9sVrun2zNPiWaeNnSSeVqtfZKxPmlvltbWWW8WUdJeQXwqdD7NynM+pc/QOxIR+rrLQgrNtFuCPOYyyCwW60YUjSr6O38+0NIC3H+/ao6YP989HrQ41v9f8Ojhh4EvfxmYM8e7OAbU73lxPGa0ePHim14c34hGhyBbMurL1u4+SMjoPkWXKPHzZ0Y9XbV+4mfIKMkj28wogG271bvyIYEdpN93T7/KPkup7q2QEr/Z6gVJs5CndLZ2UGeQ03UW8spVRarCyOh75xURTEoMIX4R4PBxl0G2ZDQC7DlISPsBoHR+fILs9ymI+NkMchyfbA8ylE+BZPS4OhnR75OHjAb5RLK1tJ3hrCZ+lIwmJgBvnwRmxfNpCDJaSQgyPT3P031cFusTbbTwkNE4pN34ZHYkLGnX8xSPjKanaZ80aY9pZ6BtH2SeMghpz9aL60PHFUE2GeT5hrQfBIrnebPaZp4sQQ5ojPFn2l/bDiytUI/T153NIAPYvhuoHGKeDvraPoJI+9lzQAbZkTAZ5ECfCGk/+76ep0TOILNYH1W99x6wZMnwP371amDFCmDDhhG7Jdbt0wsvvAAAaG5uvqnPH3MEuZgS5GqXhVxqT4gD6hsIQW5ttfTKEmRN7QzJ6uh276bfQHprO3t7fCSLZkY18SM9yM0kg3xXc7MjfnWGZEksrqmy9GphOcmMlhQR4kdaB2xm1JHRdJMZhcDMOXMwITUVEAJziwoV1fKR0cpqR0Yd8QOWN5CT9FpXBhJk6tM60mJBs9obegnxsz3IUawJ8amJZEb9ZNT5VG19KiE+zSWkfZbHJ9P2EdF90SpHan0yLRaUjELRRJutrfYSZNf2EULa270EOVl7Rvt9w3xaT7qj126gpN3tSDTRHQnik5e0u3kqIWR0bmEB8SnXZWtN20dEYOKUKcqnzAxNRoXKtKemAjB90XpHotztSCxeSnyqpy0WTV6fUtTjXoJsfJJYt3GjL9Our+/bFLxzs2G9niHfPLWudFntpgY3T/V19npRIGmXyC9wPs3MCXjdxRDkSZY2G5/GYIsFi8UKk5TAq68qMuxfHHd0ALt3qw7i/n71RroXXgC+9jVg+3aVPebF8bjRo48+ikcffXTEv8/IE+TvPIarA9e976a3xC8C7D8STrLKAjKjW0JI1muajAp9vZQSZEpGzWlxexRhhVTfq7wogCAT4nfkHWDubPX48VOqx9lP/N6nWcirqr/32jX1+WHZ2gTd7zs9XrbW31vbH0va4SfIYcSPkHZK/CwxhTeDvG2vOkFNQuV4y4t0VvtgsE+U+FGfTr+ndhAoGaU+GYKcGkD8jE/mJL2IabEwOxJh82QyyH4ySk4Z3OwjyEE5dk8GeRg7Ep5sbT9QMoRPtAc5lLSTto/oMHyarnckjp1Q3cHmdReUQY7nU6X2actORcvpPMXsSPgz7abFos+R9m17ht6RMDs3Mf3jcbLaZp6ukQyyZ550BvnsedVPnpiAhdOz0NfFGWQWa0xr82bgq19Vh2/49eCDKhoxffrtvy/WqGlctFgMSndWFSWjFVUkW1tX6zLITa7ft9GQUenNIK8hxI+SrA2beh3J2kSytRtJFpL0+7Z2UILcFkyQTQYZwCKSQV5AWizmFZIMcn6uzT9Oz8rSj0csyUonrQM2WyuA/AKXrS0udycOVlbRHmTqUwMh7ZqMCqClfa3zqdP51EHaGTaEEb+ebuITIaPta1UPcjSKppZW24m8PCirDS/xW1BR4choUZGlobPzqE86qx2JYOLUKdonb7bW7DzkFxZYP0rK6Y5ElWeeXLa2QWeQdabdtKK0t3vIqGdHItnkaSlB7kGSfpy2WKzp3BBCRlu8fdGhBJmS0QQo0l5gfZqVO8fOVnqma/uYlObLtENgZo6bp7nkZMYFFRVe0q5nxbZ9aNJufTJtH0Ion+w8dbodiZ7gHYn1PW7npmNjJyHIbp5aggiylLEE2e8TvFlttyOhs9p6nqZlkAxymj+DrJpmTAb52uDgzf5oY7FYt0Mvvgh0dnoXx488Avz936v+4S9+kRfHrBHTiBPk7O88hisD/gyyj/gV6Hec7jmk+lj9JGs7IVn03fTDIllhxG+PoohAnHaGI7rFAsDhY8DcHJ0ZvQEyGkqQNcnyE78wgmzJqM5qU+IXlK3dMlwyGuTTTp9Pvqw2pO73DfDJk0EOOHEwJjMa5BMlo+dVpjQx0bVYGJ8sQT4G5M5S3uw7rPKrlIxC+1RufBoGQX7tLWBpeex1DGnX2dpte4eeJ9vOYHyaTchoZqxPYaTdk0FOApJ0i4WHtJsdiRPATEOQiU/7D6uu4UgE2H1A0VvqEwJI+5KF6nGaafd4Q9tjgl53Mtyn3f3AQjNPuhWFtscMhyDTebp6VX2PIJ90Bnnh9Ez0dXEGmcUac3rgAXU6HdUTTwCrVoHfLMcaNwTZpPxoi0UlbWeor9VUS6B+xQpLshpaVuosJNCy1mUhV3eus1Sro8dlRtf3hJGsrkDiR1ssmlpXWkrq7a2td9napUstvVpQQQhyCBlNN60DEWHJ6LTMGZb4ZefM8ZLRlFiCvGhJEGlX7/h3xI+QdpKttWTU+KQJ6PrubuJTd4hPnZomSy8ZbWux17TFgma1K6tpBrnckVGSGZ2VQ8hoVmYMGbUEGQIzc3RWOyKQT9oZvATZ9SAvXV7vCHJDo6brAk1trp2htZ3OU4hPvT0uZ7upVxFkKbGuZ2MgaW9pXxNnnpQ3NbW11ie7IwH1d258otnaWbnB82R3JLL0jkQkiLQbn1wPciX1yWa1geVNTbE+BZB205vcQfvHNzm6vt6QdinR0b0xINMe4pMhyManulpL120rCoCS8lJCkB1pzyYZ5HTTHhNJUFltn08zc3Nt9v/aIGeQWawxpV/9SmWM6eK4oUHlilev5sUx67Zq5AnyP30NV65dC8+M2iykn4ySFgs/GQ3L1vozox7ip3OUYRnkCpKtXThfESvbgwwv8XvnlG4dkMEEeWAAuHwFmDJZkSwJ3c5wSZOsZEeyhktGgzKjELrf17R9xCF+1QFk9NW3gDvj+QRFWxcvUNc7dAY5jCBHpfJp7pwQn6YDg1EvGbUtFtonS9oTlU9n39eZ0UTg5BmVQR6uT7v61Sl28M8T8WnLMHy6IdIO9XdSpn3afUiR0ahUZLQoLzZbS30KbbEgZDTIJ888UZ9O6BYL4xPdkQgg7TtDfBp2Vnu47THQtDpgR4L2INv2mGH4dP26ao2ZHJRBTvaSds4gs1i3X7/9LfDZzwILFqifa2YW77kHqKpSWWOjl14CXnkFaG9Xr10WS2vPnj0AgJKSkpv6/DFDkAdlFBBAUVmpI8gkg1y9bJklWfWNDZpSaYKsidVKkkFe3bnBUq32ri5L/NZ1dzv619PtI1nqWpFRTbI63El6jW0tjvg1uRPiKBmlxK+kotxeU4LsOdHLZJATEhQZjRgyOhmIKOpFyWiSpuXUJ0pGa5a5zGh9Q4Mlfo0trY60E+K3eoP2CVIRvwAyuv4+R0Y7epxPqzs7LeWzPkWjaDJtHxKob2y0xM+TGa2pcWS0okwtzCB1BjkBJldsyaghyAkJPtKufJppWgciAnOLiqxPxeUhPvmz2oaMtrbaGWrpWGs9W2N9gsendb096loa6q5Je5eftKuTCFe2e1ssLGlvJifEhWVrK8rsdb5psQAIGSU+RRKQGuRTLvVJn6QnhCLIduemWpNlgaX1rge5vtHnk237CCHt3S77v76n2/nU040k7U072ZFYbVosolG0EJ8aiU/1DY4gL62lBLnaM0/WpwLnk8sgRzAtcwbZuZlqvZswcaLyKSfHNqFc5Qwyi3V7NDioFsD33QecO6cWvvQfav/xH25xfO+9Kl+ck6Pyx7w4ZvlUUlJy04vjG9GIEuQL164iixJkT4tFNskg5yoy5Xk3PSGjW3erJgUhgDf6gKoA4vfqduDOCnJdqW7C0/Xbp0/egz4FLYgg9zvid/AIUJjvbbGIR0bfv+A9+Sym39dHsgzxi9c6YPp9KfHbdVDRNiGAt/YpCucnftSnsK7a17YDSwN8CiTI8XyifdGatNsWiyCfLqqTA/0+mQyyxyeSQT51Rp1UGOhTdiwZNQQ53o5EUL+vP1tLW1GGJO0+n4JOHPT75GmxIDsSgT6RHYkLF9Wv8eYpMIMsvD3I1Ke34hDkJUFZbTpP1CdClof0yUfah9P2ceYckJmudyR8vdqTJ4Xv3JgdiaREJsgs1khLStUy8fzz7rH2duBHPwLy81X1WlUV8NBDwKVLwD/+I7B8+ejdL+sjoZ/85CcAgDVr1tzU548JgjzgJ8iaQJVXLbEkq6auzmWQDcmCQCNpHVjZ4UjWqs71lnBRgrze5EQhsY60WHhIVtcGR7LWrfW0DkQSNEEmxK+mjrQz1FQHktH8wkJ9DczMy1PXkQjSzXHRCcIS5GmZGZZkZefkIFlnIfMKCizxKyb9vo60K58MGa03mVEINHpO0vMRP+MT6fddR3xa39triR/NIK/u3BBL/OL4tLTOZWsrzclnUjrSLuDzKcf6NI34NDFtiiXtzieSQS4kZLTCZWsrqpZgApkn51Oj3ZFo9Pcgp5gdCdcX7fGJEmRKRru7HGnfsCGWtEsoMqp9qm8MytZ6fSouK3XzRNoZsnNzyDw5gmx3JLKyrE+zcs086VYUk2kvKwtoRRFYSto+6pvIzk2be921tBPS3kXaPkhWe12P82ldr/Opo7ub+OR2JFYSnxpa9c6NBOpJX3QNIe0VVUusT0XEp7yCAjtP2TbTLjwZ5NSpU+zrLmZHQggmyCzWSGlgAHjuOXWSHV0c790L/M3fqEzxr34F/N7vAbW1wI4d6jFeHLOGoccffxyPP/74iH+fkSfI33kMV65fV8Rvpj8LmeDNIO866CVZYWTUkqyQTt8YqqVJ1mZDVeHNjO7YC5QXq2uTQZZQNLIoT/0r+DAhyMdPATlxCPLAAHCZnqRHyGhykjrmkmZrQwlyEPGLk9V+M4z4EZoXStrJx9BT9Qy9B4Kz2hKqEaFIk/bDx4F5cTLIA1FFPtP9PtEWi4u6tzYpvk9mng69DeTNHpqMlhOf7I6EzhEbamy6tGN8Mn3RJGcbOk/74pPRGyXttgc5wKcggkwzyG+fUNQ1Zp4Iae/rBxYO4dNm6hMh7cPaufHPk98n+No+jgAFAa87M0+D+iS9TD1P50N8Mjs31Kez53QGORGlM7Kwkwkyi/Xh9NhjwJNPquu//Vvgc58L/rhvf1u94Y7F+pAaFy0WA6bFQggUkdaBiqoq+y776lqXQa4jmdEGS/wEVvrJ6BDEbx15N317jyNZa7po6wDN1rbZDHJ9M2lnqK9zWUhKkCuDCfIsD0HOUtcJEUtGp2VmImWyIllZuZQgzw8ko+WE+FWTEwfrArPaAisJ8aM+rSX9vus29ZDrXkJGaQbZT0aTLEG2ZJT4VLO83npTubSGtA6UW28UGU3QeVmXraUEedI0TdqzspAyWbUOZOc5n/ILSFabzFNlTY0j7SSDTAlyQyvxqSN4njpIv+/6+3rd7sR9m9w8dXd7SHtQBtlm2iVQT/p9a0imvYIQ5KLyMudTYQEh7bk6tx3BtMxYnyhBzibz5FpRBEoqyYmDZJ5qaglpb6YEmWT/6c7NBpL9797oOpF9OzeJQRlkMk/Up4bWlXZHop60x9Qsc6+7SpLVLjY7Eno3wcxTttmREBGkmR5ksnOTbvqiIwKz8vKsT1eYILNYN6/nn1eNE2ZxDMQuju+/X+WJ+/t5ccz6yOn2EuRZOoN86JgjfvuOqFym8JFRD0HepegczdZS4hdDjUm2luYiN+8MyCDDnaQHxCHIpJ3BEORB3YOcPcNHsgaBD64o8nn1OiCjQEqKJsi63zeQ+EXUiYMen0xv7VHdFx1C2uHPauvnGuOTv8WCZms18XujD6jWZNS2fYCQdqnobKm/7UMCh/wEWfdFnzob4JOPtAdltcNaLGLIqG5noPO068AwstrEJ7MjEThPlCBT0m7maQ9wRwBp33VQ+UTbPmJ2JE4COdlqns6c85F2PU+Xr6osNvXJ0xftyGisT2ae9El6pi+6MC/Ap736tRAwT0uITzeyIxEzT36ffPPkafvwt1jQ/nF/pn1Qt6JMVCQZcD6lxGb/S2dkY2fXw8P+eWbEBJn1sdTp0ypP/PrrwNSpwPnz7s+efhr49KfV9de/DrS1jcYdsj4mGncEubi83OaOXR+rQHV9re1drWtcYUnWilZCskg7g80gS0NGNf2jBLmnx0dG/cQPWLmuXZNRqfp9DUFuImSUEORKQpBLKk22VmBucXEAyRJIz3YEOXWqyyBbMkpaLPIKDRkV+sRB5VMFaR2oqSM+0cxoi+utpcSvrdNH/KxP3Z7MqPFmrS+rbcloByWjrfrkMyiCbMhoLfFpKe33LbNNA/nFRY4gEzJKSbvLjGZ6yKhr+yAZ5EqaQa5yGeTlddYPL0GmOxJrYrPaEmjvcqS9gzahmI5tKb3ZWkqQO9ZY0t5Astp1zYSM1gWT0ZLKCkdGiwrcPOWSecrKdDsSZp6yMu08zSRkNL/QkXaVadevuxrqU73zqZH0Rbe2eds+7OuO7tx0e3chyO5EYsCOxKqu9cqnqJmnJJvVVt4Adc3eDLLdkTCkHdIzT3mEtNvXnX6NISEBSNStKNonmv0383R1cOBW/8i7aQkhcoUQvxRC9AkhdgohPq8f/zMhxDEhxFb9Xxv5nC8IIfYLIfYIIVaO3t2zxoWuXlVEeN48dSiHuTb/1dSoxTHgFsd/8RcqV3z33YoS9/fz4pg1bnSbCfIQxC+MIHuytcMlWQHvrKdZyDd3qV5XSPW9Kou9JEtKYN9RoDjPm62VUlHenJmajL4HZIe1WGjiF40CqSnDI34e0n5cE2QfaacEefteReGEUM/JkvadQHUAQb4Zn5YsVASUZkYDSTv0iYPUJ0NGTTtDCPELI+3D8an/mKKMMdnagyr/G9cnTTeFJupLqU+ahsaQ0QCftup58vhE5wmK2hbne8mozSBnD2+e/GR0QsCOxInTQEZ6LGm3OxJ6ngoCfPK87kLmyePTNu1NvKx2iE9v7XWvu939bp5or3aYTzGZ9qmxPkkEnMxIM8hjhyALIWYBmCWl3CKEmAJgM4AOABsBXJRSfs338aUA/hXAUgCzAbwAoFhKGTc3wgT5Y6grV4AzZ4A5c9TvX3kF6O0FvvQldfjGli3A5z/vTp8cSqmpqsc4L0+94Y7Fus06evQoACA3N/emPn9MEOTrUU2QIwLF5WWeFgtDsqrrHfGra1gRQPyAe0m2dlVIttYSZEq1pER7z8bgLOQ6c0KcROOqVkuy6u9pspS0ZnmdaiAAIchSoqSiQpMsqU/08rVYJEQwLdMQP4FJ09JiiF92Xq7LIFPi5yHIJDNKfWokPrW1Ep/anU9djoyu3Uj6oj0+9QT6tMrvU6LrrbVktKkhgLRLVFYRnyorLNmzGWRPO4PyxPhkSHtaRobHp6TUlLg+VdaQHQmSQa5rdmS0sa3Vzg3Naq/qcjsS7T1uR0J5o+hwR283EpOTYkj7qg00Wxvgk2lnIFltM0/ltMWCknbjE4BsQ9oTEjxkNHWKyrGnZWZgwqSJMT3I+cVFirRHBIoJaS8n81RdR7LazY32urG1xfnU4eZpNZmn9h63I7HO5LNtpt1ktfU8Rb3zdC/1qc297mobG6wfNXXudReb1dYEmWTaaduHnafEBKSa7H+Wd56MT1cGr9/Sn3cfRlLKd6SUW/T1BQC7AMyJ8yntAP5NSnlVStkPYD/UYpnFUpISePRRYOFCoL5eNUTMm6cWxwDw5S8DS5cCn/mMWxzPmAH85jfuazQ3A88+C/zd3ylS3N8P9PUBP/whL45Zo6bc3NybXhzfiG5PD/L1a4pkWeJ3HMj3E2Rf68B2TbIimmQtJiSrKohkUTLqp1qa/r2xU/cmw0eQ9wOVAZlR084goeibydbSzKjJIHuI36D6V7ttsQggyJb4JeiT9IYgo9QnDxndB1Ro4rdll8pVU9Iekzv2k9GA/KjN1ur892JC2it8GeSYFotjqpUkKoF3TmriJ8PJ6OVrwFRD/GQAaQ/KIEeAt08GtzN45on0RVOCTH16gzxXmjUOJe3kY/xkdLF/R4LOk1Q5cj9pj8kg0x7kSwGk3bRYhO1IJGif0rVPhCD3vw3kzxlinnyknb7u7M7Ndk2HfXn/MNJu6DNEnNfdAaC0wOdTnBYLk9W2JzPG8em8brHwEeSyGdnYMUYIsu/rzwXwawDlAH4fwKcBnAfwBoA/kFK+J4T4OwCvSCn/SX/OtwA8J6V8JuDrPQTgIQDIy8urOnz48EjdOms0Zf5ffvo08I1vAN/8ZvjHfuELKh5h9OCDiiYvXjyy98hi3QJ997vfBQB0d3ff1OePGYI8KKMAgKLyUkdGayhBrrWUr7ZxhSVZK9paFL2CJqOaWNFs7VrSx9rhaWdwrQNrTc426utB7tAEOSrR0ObNjFqSVa/bGWTU284QQkZttjYiMC0zy16nprnMaLImflm23zeCvKJCS0YLy6hPjoxW1S+zPlEyantrAdxrMqMA2taTvmhC/DooGd3ksrUen+wJcVGsND5JoIFkkOuaGp1PhIxWkpP0ijwtFiQzmkvIaLYjfhMJaTdkNDsvx0OQFRmNoKgiuN+3us7NU11TsE8r17lMexvpi14T0/YxATFklLSieMhoh9uRaDBkNBpV2VpNSavra+08VdCTGck85Zl2BhEJztZGIs6nzAxMmKznyRLkCPKLiqxPiiCbeaoJ9qmZ9I8T0n6vJ/tPd25cBrm9pzuQtK8xpD0axaquDTp3HMW9tgdZYkXbSuJTU4BPEhUkq23bPnRu38xTVs6c2B0J6lNWpvWJ7txcHhg7BNlICDEZwA8APCKlPA/gKQAFABYDeAfADZd/Sim/IaWsllJWZ2Zm3tL7ZY0BXb4MtLSozuH58xUVpovjRx4BXnwR+Ou/Bn79a0WBH3rIZYb7+4EvfpEXx6yPjJ566ik89dRTI/59bkMGWRPkY++6DHL/cXU6lsmMFgSQLJqFDCJ+cQlyyDU9ec+SLJAsJLzEb99hoHhuLBk1xC8qFf2dSU8+M2T0qiKfgWQ0UZNRmq01/b4nnU+HjrnWgb2HFVXzk1G/T4sXKF9f36HopvCTUULXX9kOfMK0fWzTJND4pBstLBmN49P+I460ezLItO3jnCbtgz7SfjVOVtvn04nTQIYm7UdPKJpoyWgAaQ8jyJSMvk7oJqWeHtK+DbhzkfYpJKvt98mQdputJT7FJe1niU+EIF++EjtPlIyeOQekBfhkSbvwtqLYFos4BJm+7l4nrx1KjV/ZDnwiYLbozNF5oidY0h0JmkGmWe0jpD2G9mp7fLoYktWWKtN+/qLKIicRn5ISUTZ9bBFkIUQSgGcB/ExK+VcBfz4XwLNSynIhxBcAQEr5F/rPfgbgz6SUL8f7HpxBHkd68EHgF78I//PvfU+9sY7FGmcaFy0WKoMsgYhAUTklWY74VdU5Mlrb5HqQV7SuRIqfjMpYgjxBU76OXtc64MnW9hriF8XqLkdG7zUZZJqF9BG/mruWk37fpZ4+VktGS4os8XMZ5ARvFlK/mz7NEr8IsnI1GY0I5BYWIDlF0b8imtWuJqTdtjPE+uQhyJq6r+rqdMSvt5sQ5E2WjHZs6nHZ2p5e69Oqrk5vZtT01oaS0bpYMioliivLCWkvsPnRrKAMMiHt1CdL/Gy2NpWQUd1iURNMkKlPHtLeTtoZuhxBVpn2JDJPhoz22rlZ290Vkq1d6/XJkPZG6pPri67wkHbXg5xX7OYpK9eR0bSsWNKenp3ldiQoaS8q9PmUrDPt1WTnpp745HZuGtpa3etundu5WdXZGeuT2YWwuzib3I5ETw8h7WSeOtYQgtxifaptcjs31aRXu5yQdneSHmlFERFkkR2JNEPaEyKYmOYIcvJE51NyaiqAsUWQhRACwLcA7KKLY/3mPaN1AHbo6x8D6BFCTBBCzANQBOC123W/rFHUs8+qLLF/cfzd73qpMC+OWawPpduTQb52jbRYCG8fKyWjMSSrGBAYHhl9ZZumoX4yGkaySBZyu86MQqp7KC1Q1/uOOJJFT4g7dhLIpRnkjAAy6s8gTwDOX2EBYH4AABY6SURBVNLEL4ggB/TW2gyyIX6GtB9QtE0IYJumusanoGztq28Bd5bH+uQho4QKBvoE9XdifArKIMfNahOCfO68er7XBzRBDvPJl609ccZHRgMy7XsOq+YRv0/bdb9vRABb+hTtNfNkyGhojt3vk2lq2AnUxGtFQUimXcbp1R7Cp7AdiTPngLQpmiBTn951GeSDx4C5s4bxursBgky9eWUb8Al9HdZi4Z+nRaTFYsF85R/NINNeberTmXMkq30heOcGUs0RnSdCkMtnZOOtzrFBkIUQ9QBeAvAWoN7bDOBPAPRCxSskgEMAfkdK+Y7+nP8J4AEAA1CRjOeG+j5MkD+CunZN7X4IAezbB9x7r/uzf/kX9fgnPjF698di3WaNG4I8KKMqW1teaikfJaNV9cHEb0VbCyZMSAYgcE/7GqRoMtrWtcH2tK7tcWR03X29hIx2237adkqyukIyo6sM8ZOoIy0W1cvrCPGrtn2sJYtob22hPRUum2SQPf2+aVOBSARpWeEE2WaQbVY7QjLI8GSQa5savVlt7RMlo20bXAZ5bS/JIFOfKBnt6SaZUULaOwhBpj5R4kcJcg3prSUnn+UZgiwEsvMJabdtHyYzGsE0SkbNCXE6q23JKOn3LSf9vtV31Xl8SibzpGZI4N6OdjtPHoLc2+16tTfF80mT9o26BzlKsrVRTUZJ20esTzRbK1FcUTakT2nEpxS6IzFJz1Nenp2nvCLfiYPGp6WEIC93BLmuqcFDkBVpF7jHQ9o7bYvK2p5uQtp7LWlv7+2xPq3ZuNHOTduG9fb6HkraV7XYho/axkb7uquqX2Z9KifzVER8yi2cH/u6S0hAWhZt+5gCRCIe0p6d71pRLl0fOwRZSvn/pJRCSlkppVys//uplPKTUsoK/fhaszjWn/PnUsoCKWXJcBbHrI+gDh8GSkpUtnjePLc4fvppRYmXLePFMYs1QrrNBDngRK+9R4CiADLqaWfwE79yRUxfDXkHPb0OJaN9wB2liCHIuw4CCzVB3nsEKAkgyDSDTLOQ5y6qLHFMBllna8/rE72SkxVBnjIJSEoATpwFMtICMqNhpN1HRi3xCyGjcYnfEB22wyHtN+rTsLLaSZr4vU+ytWeCffKQ9kPB2VpK2jfvApZQMmrmieSLPTsShIwOuSMBYPseoLIElrQvNGT0iCPIh467rHYMaZ8+PJ9CM8jUpxPA7KwhfPLvSBCCTHduLGmnOfat2hv/7oQ/+x/gE81q79LzRDPI8QjyqXPATJ9P1wZUXZWHtPt2bsg8jdUWi5EUE+QxpIEB4ORJ9ZrNynKPnz8PnDqlKtaC9OMfAxUVt+ceWawxqNOnTwMAMjIyburzxxxBLihzZLS82hG/quWOIC8zrQMQuLv1Xp2FFLiHED+VQU4GpGkdSAIAtJPMqGoaoMRPUb62oNaBqMQKSkabCUG+qz6QIBeRDLLtYxURb2+tJzM6zdKt5EmTNBmdjeSJhoy6DHJhRanNjIaTdufTitYWj08TPD75iZ+6tj6Rdoa1va6doW1jF/GJkNFVLdan2iF9AooqgrO1mbS31pw4mJigyGhCBFMzZ2ifIsjMI6S9eL7LaleUOZ9sBhnD2pGIzbSbeeoi8+Ry7B2bHEFeQwhymz1Jz09G3TzVNlEyStoZaqohEo1PjrTnmrYPEUFWnvOJZpCNTx7Snp+DJN19nFtEfSofhk9NjiCvovO01ve60/PU2+NIO+lB7rjPzdOaXq9PQQTZm0F2rShVyx1pL6up0jPkI8jFBbGvu8QETCUZ5NS0qbopJcuS9ux8l2n/YAz1ILM+JhocVNnhefOAoiKgrg648051/cQTalG8aJF3cfzVrwI//Snw/e8D//mfvDhmfeyVkZFx04vjG9GIEuSL168h8x8fcz3IHjI6Kz7x82SQ+xR1ollIoYnVUCSLXr++Q58oB0KQQYgfFE2zZPSwarGQcciobbGIejOjQQTZZkaTQ06IiwQQv+FkRgMyyK/tUPlY61MANX55K7BMe+bpsCU+benTfcpSZ5A1GfVntWm21p/VjkaBk+8pnwY08ZsxDbh+Xfs0WWVsPWRU+3RG+5SUALx7Bsg0J8SRbG2YTzv3q3sUAti2RxPkENIuBPByyNzQ2aI03jNPIWTUT9qLA3yy82RO0tM+nb8ITKc+BexITEhWtP3M+wE+hfUgR4C9h4hPB1RO2r8jsVn/3Qt4SfsrelYEgJdJ3j+GtAfs3NB5Cstq7zscPE+eHQndqx3XJzJPMT4xQWbdJp07B7z2GvA7v3Njn3f//eowDyFG5r5YrI+onn76aQDApz/96Zv6/DFBkK8NDtoWC0pGy6qXWJK1xNc6YOjV3YT4Nbe32waCtk6XrV3T20OytbSdgZDRTT2EjNJsbYcjWYb4RaOopRnku5ZbyhdKRkvICXE0M0oJclqafcwQ5MzcHCRrMppTOJ/0+zriV1ZDSXsdIe0NHoJMs9qGjLZ2ud7aNb09lozS1oH2+zb5CLIm7TSrTU4cXLGqFRF9XevPamufygnxsy0WQiDPtH1oKoyECCGjEX3y2VRFkAlpz8zLcaS9uBBJmnQW2gxyxJNBrqonGeTmZpunXbGq1ZHR9vbYTDuANZscGW2/r9d1bBOf1nRvDPQphowmBZH2YJ/sjoQgBDliSLv2KZsS5Kl2niZMnqQzyLken7zzZDLtNY4gk52b2mayI2HbPoRusUiOJe09psXCu3NjZ0hKTdrVa62ty2W17yE7N3eTrLYjyNGYeTKvu0L6uiM+ZVGfSAbZkHbqU3a+8YkJMmsIhcGjaFTFIHbuVG+Se/FF4OtfVyfLfe5zwB/+IfCTnwC/+7tAZSVwxx2xi+M/+iPXNrF1K/DAA0BnJ/Dkk+7xr3yFF8csVoCefvppu0geSY04Qc76zmO4fM30IA9FRkOytZt3AUsWKmL1ms7HWpJFWywC3k0/JBmFIsiLShS96jsAlAVkIft1b63UZDQnW5G8GDJqMqNXNBml2dqLXoI8RRO/E2eAjDAyavp9DzvSHkZGqU9BWW0BTUmH8CmQ+A3Tp0PHgLk53mytJ4McBc5diJ/VvnBJeWSIn6ffN30I0n5I0cd47QyUjL72lpoJIYZHRkPnSXtvSDv1yd+KMhyfYuZpGKQ9xqd4pJ34FDNPJTqrTX3SzzXwdRdA3Yfrk81qx8kg06z2HP26iyHtab62D+rTpUCfyjNm4q3O3x3ujzMrJsjjUO+/D2zbpt78duiQWqBSbdyoeoVvVqWlwMMPA6tWfZi7ZLFYGCctFtcGBzEQjQJCoKCsjJBRl61d4ssgW4Lc6stCasrX2tVpSdbqno2O+JET4jwkK4SM3kN6kFesavWc6GVIFs1CViytcZnRReWqdiyQjCbofGi2uk5KJNlaSpDnWOKXW+TIaAFpsSj39EUTn5qbLOW7u63V51Oy8okQv9XdhPhRnzb1WG/8WW1z3dzRjgRN1+8mPtU2NxKfaknrgPOJEj+XrRU+n7KsT6mGjGZmWOKXmZejaahATlGBh4wmBZL2+tgMst6RSJmQApvV1j61kb7oNb3d1qe1vRtJVtv5tIbMVqtnntY4MurzyWaQiU9lJIPsJaNunjJiMsgRb1bbT9ptBjmctCdb0l5vc8e1zc12hlbQeVrXbueprYsSZNce077JkXaaaV/d6wiyxydP24fbkVhm2z6iWFJf622xIFlt87rLIQQ5w/ZFR1wPcmKih7Tb7H9+rvXp4sDVW/9DjzV2JSXwxhtAdbXKAJeXq1/nzVOnyH3qU8AvfwlMmgT4841Bi+NPfhJ4/HHgS18Cvv1tdZpdSgqQk6O+9hNPOBr87//Oi2MW6yOmESfIs//5cVy6fBnRQ8eAnJnqf/L7jwDzcyAiEcjdB4HiuepanwonAMitu4FFJRBCQG7eCSwpVdea+AkhIHUGWQgB+bLKiXqvI5CvbHUfYz43EoF8Y4f6mpEI5Jt9wKIF6nr7XnUPkQjkroNAyVz1dfYrgisAyMPHgbzZEAKQx08Cs7MgohLyzHtA5nREBgcRvfgBkDYFkWvXER0YhJiUCvn+BSBlAsSEZMhTZ4FpUyGSEtXXyJ4BkZCgvnaubq6wPgnIXf3AgnnqebylOn2tT4sXqOsb9kkRv5iPCfVpl/o7iUTUPZRpn/oO6Hvz+XTkHSB3lvbpFDA70+vTwCCily4DaZO9Pp27AKQG+HTsJDAzyKfDwPxcr0+AmqeKIggIde93EJ+qytT1628B1eWxfoRda3oqIhHIV7cH+7RlF7C4JHaerE8C8sARoCDAp3dOAbO0T2fPARnpXp+uXkc0Oggx0efTyTNAelrsPNEmFDpPfQeBhfN9PgXMk/EpdJ7CfNIfM1yf6DzZ152APHAUKMj1+gRAvhvi0weXgal+n84DqSmeeYokJ6FqVi5e6/ivw/55ZsQEeRQVjapow3e+o6rPLlxQ8YT0dODdd4FZsxQB3rIF2L4d+PnPgYkTgYMHw7/mlCmqZ/jsWRWZWLbM/ZmU6vtt3w7cdZd6LCdnRJ8ii8WKr9tFkEd0gQwAe8+dwW9PHsW6uQtw7NIFvH7qGNbPXYj+C+ew9cy76Jxfit3nTqPvvVPonFeK7WdPYP/5s+icV4o3Th/HkYvvo3NeKX574ihOXL6I9XMX4j/fOYxz166gY+4CvHDsIC4PXMeavGI8//YBSEi05hTi2aP7MCGSgHtyCvB/D+1GWvIENMyehx/09yE7dTJqs3Pxg/4+5E5OQ03mbHz/YB8Kp07HohnZ+P7BPpSmZ2LhtAw809+HyunZKJg6HT/o70N1xmzkTJ6K/3NoN5Zl5SAzZRJ+dHg37pqVj6lJE/Dskb1omD0PKQmJ+OnRfbh3TgGEAH729gG05Rbh6uAAfnG8H6vzinH++lX8+p3DaM9fgNNXPojxacO8Uhw8/16MT13zS7HtzI37dGVwAKtzi+L6NC05BXfPyscPD+2yPj3T34e8IXz6/sE+LJ4xE/Onpg/bp8bZ8zDhBn06deUSXj759g371DW/FK+f+nA+pSQkonnO/Jv2acG0DDzj86kmcw7mTJpyQz4BwM+PjR2fnnt7PwQEWnIKxoxPK3MKIOXQPk1PSb2hn2cAL5BHRdeuAb/61Y2/0c2vhx9WLRFNTaoSMDlZxZJYLNZHRuNmgcxisVjjSbxAHgFdugT89rfAmTPqFNL584GpU4GXXwb+8i+9H1tdDWRnqxjDsWPAz36meoONZs9WC9/PfAZYsEB1DKekKMrMYrE+8vrggw8AABMnTrypzx/uz3D+pzOLxWKxbp+uXlXNDfv2AX/6p8P/vOpqoLYWeOQRb7vDV75y6++RxWKNWd3swvhGxQtkFovFYoXrwAFVXTZtGjB9uuqbzsgAvvUt9eeZmepxKYG9e4E5c4C5cxUJjkbVIRiRiPo6W7aowzKC9KlPAevWAS+9pAjwSy8B3d1Aa6t9EyuLxWI9+eSTAICHH77xHvsbES+QWSwWixWuzZvVwjZI6ekq3pCSAhw9qhbD0Sjwm9+4j3nzTe/nzJmjohEPPAD8/u+rxXBSkvvzRbpS8aGHbu3zYLFY40Lf060yvEBmsVgs1uhp40Z1iMXAgKosk1ItjJOTw3O9AwOqVSInxx2GcffdwOTJ6vNYLBZrjIsXyCwWi8WKr0hELWxLSob38YmJrg7NdA2zWCzWR0gjelAIi8VisVgsFov1URMvkFksFovFYrFYLKIb6kEWQpwCcHjkbofFYrHGvPKllJmjfRM3ow/xMzwDwOlbfDtjVfxcx58+Ls8T+Pg81w/zPIf1M/yGFsgsFovF+vhJCPHGR/VwlBsVP9fxp4/L8wQ+Ps/1djxPjliwWCwWi8VisVhEvEBmsVgsFovFYrGIeIHMYrFYrKH0jdG+gdsofq7jTx+X5wl8fJ7riD9PziCzWCwWi8VisVhETJBZLBaLxWKxWCwiXiCzWCwWi8VisVhEvEBmsVgsVqiEEC1CiD1CiP1CiD8e7fsZKQkhcoUQvxRC9AkhdgohPj/a9zSSEkIkCCHeFEI8O9r3MpISQkwTQjwjhNgthNglhFg22vc0EhJC/Hc9tzuEEP8qhEgZ7Xu6VRJCfFsIcVIIsYM8Nl0I8R9CiH361/Rb/X15gcxisVisQAkhEgB8HUArgFIAvUKI0tG9qxHTAIA/kFKWAvgEgM+O4+cKAJ8HsGu0b+I26H8DeF5KuQDAIozD5yyEmAPgcwCqpZTlABIA9IzuXd1SPQ2gxffYHwN4UUpZBOBF/ftbKl4gs1gsFitMSwHsl1IelFJeA/BvANpH+Z5GRFLKd6SUW/T1BaiF1JzRvauRkRAiB8AqAN8c7XsZSQkh0gDcBeBbACClvCalPDe6dzViSgSQKoRIBDARwPFRvp9bJinlrwGc9T3cDuAf9PU/AOi41d+XF8gsFovFCtMcAEfJ79/GOF00Ugkh5gK4A8Cro3snI6a/AfCHAKKjfSMjrHkATgH4ex0n+aYQYtJo39StlpTyGICvATgC4B0A70spfz66dzXiypZSvqOv3wWQfau/AS+QWSwWi8XSEkJMBvADAI9IKc+P9v3cagkhVgM4KaXcPNr3chuUCGAJgKeklHcAuIQR2Iofben8bTvUPwhmA5gkhLh/dO/q9kmqvuJb3lnMC2QWi8VihekYgFzy+xz92LiUECIJanH8z1LKH472/YyQ6gCsFUIcgorMNAoh/ml0b2nE9DaAt6WUZifgGagF83hTM4B+KeUpKeV1AD8EUDvK9zTSOiGEmAUA+teTt/ob8AKZxWKxWGF6HUCREGKeECIZ6o0/Px7lexoRCSEEVFZ1l5Tyr0b7fkZKUsovSClzpJRzof4+fyGlHJe0UUr5LoCjQogS/VATgL5RvKWR0hEAnxBCTNRz3IRx+GZEn34M4FP6+lMAfnSrv0Hirf6CLBaLxRofklIOCCH+G4CfQb0z/ttSyp2jfFsjpToAnwTwlhBiq37sT6SUPx3Fe2J9eP0egH/W/8A7COC/jPL93HJJKV8VQjwDYAtUG8ubGEdHTgsh/hXACgAZQoi3AfwvAF8F8D0hxIMADgPYeMu/Lx81zWKxWCwWi8ViOXHEgsVisVgsFovFIuIFMovFYrFYLBaLRcQLZBaLxWKxWCwWi4gXyCwWi8VisVgsFhEvkFksFovFYrFYLCJeILNYLBaLxWKxWES8QGaxWCwWi8VisYh4gcxisVgsFmvEJYTIEUJ0j/Z9sFjDES+QWSwWi8Vi3Q41AVgy2jfBYg1HfJIei8VisVisEZUQoh7AjwCcA3ABwHop5cHRvSsWK1y8QGaxWCwWizXiEkI8D+B/SCl3jPa9sFhDiSMWLBaLxWKxbodKAOwe7ZtgsYYjXiCzWCwWi8UaUQkhMgC8L6UcGO17YbGGI14gs1gsFovFGmnNBXB8tG+CxRqueIHMYrFYLBZrpLUbQIYQYocQona0b4bFGkr8Jj0Wi8VisVgsFouICTKLxWKxWCwWi0XEC2QWi8VisVgsFouIF8gsFovFYrFYLBYRL5BZLBaLxWKxWCwiXiCzWCwWi8VisVhEvEBmsVgsFovFYrGIeIHMYrFYLBaLxWIR/X+GDERQ7dbkcwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim.display(10, node_size = 4);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T12:38:13.603049Z", "start_time": "2019-03-25T12:38:11.524461Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ani_sis=sim.animate(ts_plots=['S', 'I'], node_size = 4)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# brew intall ffmpeg " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T12:37:37.786606Z", "start_time": "2019-03-25T12:36:29.577309Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, HTML\n", "display(HTML(ani_sis.to_html5_video()))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## SIR" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T10:05:42.533834Z", "start_time": "2019-03-25T10:04:22.379094Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import networkx as nx\n", "import EoN\n", "import matplotlib.pyplot as plt\n", "G = nx.grid_2d_graph(100,100) #each node is (u,v) where 0<=u,v<=99\n", "#we'll initially infect those near the middle\n", "initial_infections = [(u,v) for (u,v) in G if 45\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%HTML\n", "
\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T10:12:56.312178Z", "start_time": "2019-03-25T10:11:35.160800Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, HTML\n", "display(HTML(ani.to_html5_video()))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2019-03-25T09:01:17.370609Z", "start_time": "2019-03-25T09:01:06.300Z" }, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# from ipywidgets import interact, fixed\n", "# interact(sim.display, time=[0, 10], node_size = 4);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Play with many more examples.\n", "\n", "https://epidemicsonnetworks.readthedocs.io/en/latest/Examples.html" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python [conda env:anaconda]", "language": "python", "name": "conda-env-anaconda-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }