{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Intuition for Second Order Partial Derivatives and the Hessian Matrix\n", "> But what is a Hessian, really? \n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", " Unable to load WebIO. Please make sure WebIO works for your Jupyter client.\n", " For troubleshooting, please see \n", " the WebIO/IJulia documentation.\n", " \n", "

\n" ], "text/plain": [ "HTML{String}(\"\\n\\n Unable to load WebIO. Please make sure WebIO works for your Jupyter client.\\n For troubleshooting, please see \\n the WebIO/IJulia documentation.\\n \\n

\\n\")" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#collapse\n", "# imports\n", "# using Plots; plotlyjs()\n", "using PlotlyJS\n", "\n", "# from IPython.display import HTML\n", "# HTML(fig.to_html()) # where fig = plotly.plot(...)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Hessian matrix appears in the optimization literature, but the intuition for how the Hessian and its inverse transform vectors is opaque to me. Let's review second order partial derivatives, and then try to build intuition for the Hessian matrix. \n", "\n", "For the purpose of this intuition-building exercise, we'll work with functions $\\Reals^2 \\mapsto \\Reals^1$. I'll also use partial derivative notations $\\frac{\\partial}{\\partial y} f(x, y) = \\frac{\\partial f}{\\partial y} = f_y$ interchangeably. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Partial Derivatives\n", "\n", "Take the $\\Reals^2 \\mapsto \\Reals^1$ function $f(x, y) = x^2 + 2y^2$.\n", "\n", "A partial derivative is the change in an \"output\" variable (in our case, $f$) with respect to infinitesimal changes in an \"input\" variable (in our case, $x$ or $y$). For example, $\\frac{\\partial}{\\partial y} f(x, y) = 4y$, which is to say, for any point in the domain, moving infinitsimally in the y direction changes f propotional to 4 times the y coordinate of the starting point point. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "f_y (generic function with 1 method)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f(x, y) = x^2 + 2y^2\n", "\n", "x = 6\n", "\n", "xlim=[-10, x]\n", "ylim=[-10, 10]\n", "\n", "xs = LinRange(xlim..., 101)\n", "ys = LinRange(ylim..., 101)\n", "zs = [f(x, y) for x in xs, y in ys]\n", "\n", "y = 4\n", "dy = 4\n", "f_y(y) = 4y" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "visible": true, "x": [ -10, -9.84, -9.680000000000001, -9.52, -9.36, -9.2, -9.04, -8.879999999999999, -8.72, -8.559999999999999, -8.4, -8.24, -8.08, -7.919999999999999, -7.76, -7.6, -7.44, -7.279999999999999, -7.120000000000001, -6.960000000000001, -6.8, -6.640000000000001, -6.48, -6.32, -6.16, -6, -5.84, -5.68, 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"hover": { "id": "13210028165078827776", "sync": false, "value": {} }, "image": { "id": "157792073107263538", "sync": true, "value": "" }, "relayout": { "id": "8664851016632277855", "sync": false, "value": {} }, "selected": { "id": "6403476091998603941", "sync": false, "value": {} } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" }, "image/png": 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showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin, scene, and sliders\"\n", "\n" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#collapse\n", "# built interactive plot\n", "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=zs,\n", " showscale=false, opacity=0.8))\n", "push!(traces, PlotlyJS.surface(x=[x, x+0.001], y=ylim, z=[[maximum(zs), minimum(zs)] [maximum(zs), minimum(zs)]],\n", " showscale=false, colorscale=\"Greys\", opacity=0.2))\n", "push!(traces, PlotlyJS.scatter3d(x=fill(x, size(ys)), y=ys, z=[x^2 + 2y^2 for y in ys],\n", " showlegend=false, mode=\"lines\", line=attr(color=\"red\", width=2)))\n", "\n", "for y in ys[1:5:end]\n", " push!(traces, PlotlyJS.scatter3d(x=fill(x, 2),y=[y-dy, y+dy], z=[f(x,y)-f_y(y)*dy, f(x,y)+f_y(y)*dy],\n", " visible=false, showlegend=false, mode=\"lines\", line=attr(color=\"orange\", width=5)))\n", "end\n", "\n", "scene = attr(\n", " xaxis = attr(range=[-10,10]),\n", " yaxis = attr(range=[-10,10]),\n", " zaxis = attr(range=[-50,300]),\n", " aspectratio = attr(x=1, y=1, z=1)\n", " )\n", "\n", "layout = Layout(\n", " sliders=[attr(\n", " steps=[\n", " attr(\n", " label=round(y, digits=2),\n", " method=\"update\",\n", " args=[attr(visible=[fill(true, 3); fill(false, i-1); true; fill(false, 101-i)])]\n", " )\n", " for (i, y) in enumerate(ys[1:5:end])\n", " ],\n", " active = y,\n", " currentvalue_prefix=\"x = 6, y = \",\n", " # pad_t=40\n", " )],\n", " scene = scene,\n", ")\n", "\n", "p = PlotlyJS.plot(traces, layout)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the function $f_y$ for every starting point:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "x": [ -10, -9.84, -9.680000000000001, -9.52, -9.36, -9.2, -9.04, -8.879999999999999, -8.72, -8.559999999999999, -8.4, -8.24, -8.08, -7.919999999999999, -7.76, -7.6, -7.44, -7.279999999999999, -7.120000000000001, 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"image/svg+xml": [ "" ], "text/html": [ "\n", " \n", "\n" ], "text/plain": [ "data: [\n", " \"surface with fields opacity, showscale, type, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, x, y, and z\",\n", " \"surface with fields showscale, type, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin and scene\"\n", "\n" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#collapse\n", "# plot partial derivative of f with respect to y, f_y\n", "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=zs,\n", " showscale=false, opacity=0.8))\n", "push!(traces, PlotlyJS.surface(x=ylim, y=ylim, z=[[0, 0] [0, 0]],\n", " showscale=false, colorscale=\"Greys\", opacity=0.3))\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=[f_y(y) for x in xs, y in ys],\n", " showscale=false))\n", "\n", "plot(traces, Layout(scene=scene))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can do the exact same exercise with $f_x$:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "f_x (generic function with 1 method)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f_x(x) = 2x" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "x": [ -10, -9.84, -9.680000000000001, -9.52, -9.36, -9.2, -9.04, -8.879999999999999, -8.72, -8.559999999999999, -8.4, -8.24, -8.08, -7.919999999999999, -7.76, -7.6, -7.44, -7.279999999999999, -7.120000000000001, -6.960000000000001, -6.8, -6.640000000000001, -6.48, -6.32, -6.16, -6, -5.84, -5.68, -5.52, -5.359999999999999, -5.2, -5.039999999999999, -4.879999999999999, -4.719999999999999, -4.56, -4.4, -4.24, -4.08, -3.92, -3.76, -3.5999999999999996, -3.4400000000000004, -3.2800000000000007, 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6JaD5vM3aSe3atUuWLVvW7Sm6Ou67f/peeeyOOyLHGgFtcp7LQc4zfvWSD/+FLDnllK7Ok8VBjz76qCxdujQyFPOksyDLMUiABEiABIaJAMXzMF0tzpUESIAESKAtAhqODcGM3sYo+NWsndTDDz8sK1asaGvsLHZ67PY75D/f9z47lCpmb+BSOSwYhl+fdP755t9Mba34xCuSsw3WTF0pnpcESIAESKCXBCiee0mXY5MACZAACfSFQLyHcaftpFqJw6wX8d33v192+66zH7MtIuViScbn2GrbqrDPuenmrKfR9nid8tE2WLguk5OTMnfu3NS9sNueLHckARIgARIggR4RoHjuEVgOSwIkQAIk0FsCfv7y2NiYyV+Gy9zNlhSW3M047RyDUO3//MD7w9LaQY3t8OhyqSgThUJkuJdc+SE56lkzE7rdqXj2J+7nSeM6LVq0iEK6nRuF+5AACZAACQwcAYrngbsknBAJkAAJkEAjAqiKDTHWLH+5G3ppxGGn57vpnLPrIrVzuaj1XEoQz8/8rTfJM897U6eny2T/rPjE22CleeCRycI4CAmQAAmQAAl0QIDiuQNY3JUESIAESKD/BDR/GWeeN2+ecZib5S93M8OsxGGrc//iS/8s+Ge2WKi2/zu/2rbutvjkZ8mLP/ihVqfoyeu94BMPtWeedE8uHQclARIgARLIkADFc4YwORQJkAAJkEB6AvHiU53mL3czg6mpqZZFxboZN37MLeedUzdMREO7H6x4LsQEdk7O+uJXsphGR2Po9UAf7F5umieNc7ANVi9Jc2wSIAESIIFuCVA8d0uOx5EACZAACWRGQPOX8RWucr/DeSGecc45c+Zktqb4QN+74gMydded7tdOJQfKOfqzCdueKNSFd5947nmCf/3c9Nr0Wjz7a8I5p6enza+QJ41q6b28Nv3kyXORAAmQAAkMLwGK5+G9dpw5CZAACQw1AeQvQ7RCLMNp7LV4bQZr7969JiS8VwJt9113yvevvDziJMd1s/9isVSSQsGrtu12XnzSyXLq+67o63WfCfHsLzCeJ42icLhXuJEACZAACZBAvwlQPPebOM9HAiRAAiNMIJ6/vHDhwoGggXlhQ95tL7bvf+hymbobrnPccXZni+U/l4olmVDx7KlsfPu6G77Uiyk2HBMPOSqVSs/YdLIYCOmDBw+Kf73YBqsTgtyXBEiABEggDQGK5zT0eCwJkAAJkEBTAn47KezYj/zlbi5JL8XzPTd+Se65+cuNp2XEcS5SP6xYLsmcCb/Pc6i7f+NPL5fFz3xWN8vs6phesulqQt5B2gYL9xkqli9fvjzzYnJp58jjSYAESIAEZg8BiufZcy25EhIgARIYCAIQMvv27QvaSd18883ye7/3ewMxt0aT6JVA3H33nbLpLz7oDGdPIOcSim177nOxVJZCYbxOVGP+x7/ht+SEN7yxbzzBBnnH3fbQ7tdEv/jFL8orXvEK45IzT7pf1HkeEiABEhgtAhTPo3W9uVoSIAES6AkBDcdGWK3mpGr+8A033CAXXnhhT86b1aC9yuv9wYc/KFO/uMtOM96aygjoxF+KyXlu4DxjqNd8+otZLb3lOP0optZyEm3scNNNN8k559hq5vGK7WyD1QZA7kICJEACJNCSAMVzS0TcgQRIgARIIE4g3qO3WTj2bbfdJmvXrjUhtYO69UI8T/3iTvnBX11RL5BzCQ2e4znPKp7rtLX9xa9f9gFZfOLJfcE5DOL5kUcekS1btsiGDRvqmPh50vh+cnJSmCfdl1uHJyEBEiCBWUeA4nnWXVIuiARIgAR6QyCev4z2Qe2E8m7evNlMaN26db2ZWAaj9qKX8dfedn50ZjEh7FKdg31qIibkuFar2dDj8THjVo+PT0T96VxOjn/dueZfP7Z+9cBOs5atW7fK/v3727rHNE9aw7sXLVrEPOk08HksCZAACYwQAYrnEbrYXCoJkAAJdEoAlZYhNiAuEYbdTTspCJtHH31U1q9f3+np+7r/ww8/LCtWrMjknD/8yJUydc9ddX2aJeY618QK5Vq1Jrl8zuTq5vJ5KReLMl4oOCFdllpNTEEs+7pV4Wf+n89nMtdWg2TJpdW5un1906ZNcuyxx3Yc3RBvg9Xv/uLdrpfHkQAJkAAJzAwBiueZ4c6zkgAJkMDAEoi3k4KgQC/mbjeIb4Ruaz5qt+P0+risRCJE839d9aFwugmh1xBttVpVcrm8jOXzRjCbze1bLpVk3OU8q96GI12uVMxuY2M5edEll8viE3ofup0Vl15eP9xfeDiTpv8z86R7eYU4NgmQAAnMDgIUz7PjOnIVJEACJNA1AV804Hv0Xs663/EwFA2DO7506dKuOeqB//b2N8MmrhunWq1KtVoRhGfjYQScZIjlpLTmUqkkE0Y8x/tC258x1rKXvkpWnnaGuVZpRGOrBWfFpdV50rzei/sLD320CnuhUBCkKaR5iJRmfTyWBEiABEhgMAhQPA/GdeAsSIAESKCvBDR/GV8hCHodrtoLcZM1sCwc1h9e/SGZvvfuQPOqYMZcEXKdh8scUctx9WxfLJWLMjFesEv09g++dYOc/okbTFi932orayGdBZesr1V8vF7fX0hfQPs1vY4Q0lpNvtdr4/gkQAIkQAKDQ4DieXCuBWdCAiRAAj0lAAGA4k8Qy3DSuslf7naC119/vWzcuLHbw/tyXFqROH3vXfJfH/tzqdaqUqlUJSc1J5ht4a86JRz7lS+MS8WiTBSceG4ioDf87fURNiqktS9zFkI6LZd+XLxei2d/DfE8aW3N1o918hwkQAIkQAIzS4DieWb58+wkQAIk0FMC8fxlhGTPxHbjjTfKuef2pzp0t+vbtWuXLFu2rKvD4eDf9gcXCgqA5XN5UyE7skWir5NitaPSulQqy0QhNkZ8ZjmR4844W4579dl1c/bbM0FIp6konYZLVzC7OKif4jkupA8ePBhx/tkGq4sLyENIgARIYEgIUDwPyYXiNEmABEigHQLxdlLN+i+3M15W+8yUuOlk/jt37pSVK1e2fYgf+n7XJ/9GSo88FFTCtm2oknpTqQmdIKC9M5fKmvPsfpnQGhqvTB7/THnB77+36ZzjTmmnQrpTLm0DzHDHQbm/tA0W7g040syTzvAicygSIAESGAACFM8DcBE4BRIgARJIQwAf1JGPCZGEkOxBzMccFHHTjHM7ItEvrqah7/sf2C4//viH7dDx/OSEwmHx/ZJ+ts7zuDdcKLbtKcITvfJjn2n79vGFdLtFsOg8t403sqO+L7Wf9CC+L7tbGY8iARIggdElQPE8uteeKycBEhhiAhqODTGkOZeDXMAoi1ZCvb5czapK7927Vw4cOGCmAOfWZ33bH16YWF27ThTXldX2JbBfeTsnxVJJCqi2nXBMyMG+eOyGs+TYDW/oGI8v7ppV7B70nOdHHnlEtmzZIhs2bOiYQb8O0IcuqDuAB1y9rpDer3XxPCRAAiQwagQonkftinO9JEACQ0kAH74REqoCblDCsduFuWnTJtMGas2aNe0e0vf94iLRzxeHa4iHFPHtx3/7Ydmz9RdRkesL3oRc54hz3EAcF0tlK56xxbtVxSax8LgT5fkX/UkqXs0qdg+6eN66davgwQf6PA/D5uejY74Q0syTHoYrxzmSAAmQgAjFM+8CEiABEhhQAn7+MhwrFPtavHjxgM62+bQ2b95sdli3bt3Azh8CDA8ltCVRqwcU275+s+BfvcCNusj+69Hvo6rY19HFYkkKKBiWlOtsE6ojHH/zI5/OjGu8YjfuvSz6X2c2wdhAw/Bgptnacd9py7i0xd16xZjjkgAJkAAJuP/c12q1GmGQAAmQAAkMBgEIFYgXuFMIDdZ2UpqrOsgiphnBQQ6t1fBlhGaDbzsVyfdsvVt+8vd/ZTRsQyfZF7mN3ONEcZyTQDw7nVy3W+wXz/jNs+QZrzwr05tYHdIHHnhAjjrqqIHMpceCkRKwdu1aWb58eabr79dgEM9axM3PScf5G0U89GtuPA8JkAAJkECUAJ1n3hEkQAIkMMMEEB4M4YZcyHnz5hnBjO/j26CHz7bCOEhFw/xK2XhIAZHy2GOPyYoVK1otw7z+zUv+R7if38O5XZHsFxKLF97OSZjzHJlNUoVue8KFzzhRnvf2y9qae6c74b5bsmSJTE9Pixa/6rRid6fn7GT/QbqvOpm37tvofe0Xp8O+zJPuhi6PIQESIIFsCVA8Z8uTo5EACZBASwJ+/jK+h9OJD8attnaqQbcaYyZfn2mRo2IEwtl39ZVJs4JhPrf/vvavZM+2ezzX2Xu1Lt85VNMRszix9VQojkulokxMzEkQ6PZXSUW8T/vzT/Xk8sa5pG19lfUkZ/q+Sruedh+K+Xnp7VZKTzs3Hk8CJEACJBAlQPHMO4IESIAE+kDAdzrhKsNdTipA1Wwq7X7I7sNyujrFTIkcrZSNfNJm7YKmpqaCMPlGC9yz7Rfy0+s+klAFu12RnGAzGzUc1cmlMsRzwQrl2OtOPtfN4ZjTXifHnPb6rq5No4P0vm2Ua68h7/g6OTk5I4WvZuq+ygp0N+9rpHdobj7zpLO6EhyHBEiABFoToHhuzYh7kAAJkEBXBPABF4IMYll7AqdpJ+XnRnY1oRk+6Prrr5eNGzf2ZRbtVMqOT6SVeDbC+R8+EijdiPtbVzW7YcltK4hjYjleGKxULMnEHCueG25uEB1qwTEnyHPedmmmfFuJZ/9kcEZxzyO0u58hxjfeeKOce+65ma67X4NlUcsgHgmgrev6tQaehwRIgARGiQDF8yhdba6VBEig5wR80dYsf7mbiWBsbO2EeHczfq+P6bVD6LtxrSplJ60VfOHiNYoI+Naf/I49rKFQrk94jojkpgI7OiMTtl2YE54qMcy7fi7r3nqJLDzmxMwuJcQz2qO1U0QtLqT9+xXXo1dbr++rXs0b4+KeLRaLHfNtNCct8rZnz56gnzTbYPXyCnJsEiCBUSNA8TxqV5zrJQESyJSAOnP4EKzh2L0St1l/0M4URBuD3XTTTXLOOee0sWf7u4A/Cllhw8OKTkWef6ZmDyd++smPyN7tyHNWFRtrM+U7yfHk5obCNxfV4d5+pVJJJtCqyt9i4yTlUK9+6etk9cte1z7AFntm8cDGb33VLGy+20kPs3huFe3QLRM9TtlDVOOhEPgnFSNMex4eTwIkQAKjQoDieVSuNNdJAiSQGQHN88QHUnwQ7YUgaDTZbvIjM1t4yoEgnjds2GDyitNs/gOLLAVBI6H4009eJXt/ZQuEYWvoJidV8XIH+AW5g7Untqmyr5ZKZSlMuIrr8aTnxMFCoi99/3Vp8EaOzUI864B+9eis8nQhDtGqKuuHMpkBbDFQP9/P+ndLK6b38+9Wv3jyPCRAAiTQawIUz70mzPFJgARmBQE/HDuL/OVuofTzw3a3c2x03KZNm+TYY4/tqh9vvLWU9r/Oco5+vq6OC9H8s3+8Kiaak1pGWVXdlkiOR3fHD8pZ8TwxEXOejRCPrzg6F7y89i3vkgWrT8gEDYqtwdFPk6ufNJGsKnYPcv/wdi7ATL2f9UGGRsz0M0e9HS7chwRIgAQGlQDF86BeGc6LBEhgRgn47aQwkW5yaHuxgJn6sJ3FWjZv3myGWbduXdvDIawVOaGtKmW3PWCTHePFsSCcf/7pq5L7QqlQTqgLFpwiUST7v0ywnt2vyqWSjKPadn0addPf4dxHv/g1cvSLX5sFElPwrhcPKvzJ+UIaIq6THN1u7qlMwGQ0yCC8nzVP2o8y6OQaZISCw5AACZDAUBCgeB6Ky8RJkgAJ9IOAiieINXygRHueTttJ9Xqeg/Bhu9s1bt26VVAxfP369U2H6KZSdrdz8o+Li+fv/Nnb7cuthHKnIrlBTrRvQKPadkFznhPDuxslUtspv/g912SBpC/i2Z+oVuzW1letQvwRsr127dquohkyAZRykEF8P/tV07MKr0+JiYeTAOXhi9UAACAASURBVAmQwMAQoHgemEvBiZAACcwEAYQt4sMixDJCU3vtsqVdI8JoETY+aKK+nXU1y0/1BfNMuvwQ90uXLpWff+Zq2XffvU48e6trJJTjeclGdPvH2R98gZxU8EuPKCLnOV4wzA3QUDZ7L5xy/rtkwarj27ksTfdRHqkH6mIALXaFQxuFFWeVR9/F9FIf0kkbsNQn63IAP08aQyBPehj/9nS5fB5GAiRAAnUEKJ55U5AACYwcAQg1iFDtvzxMFWiHveK2XxnZr5Q9k4LZfwPACdx12+ciwjmakqw5xo1KX9vXE0VyXPUmFRhzxxZLJSn4Oc8JedH1yt6qc+y66jfOlFXrz0z93h4UZ9Sv2O33Me5FBffU0NocYNgehPkF35o90Ghz+dyNBEiABIaSAMXzUF42TpoESKATAn7+Mr5HO6NetZPqZF7d7Kv5oXBHh3H71Kc+JWeffbbJY4aDjtD4Qdq++3d/JrLnEad+1Wb2VG8TNznexSpYV1wkJ9Ubc+NWKlWpVKtSrVZkbHxMxvLjks/no4JcB24euS3r//cnUqOdSec5afJxAff1r39d3va2t6Ve50wMALaLFi0a2tZRfmQA3svD9BByJq43z0kCJDA7CFA8z47ryFWQAAnECPjVmbX/8mwJNxwUN7Ddm86/Ft/4xjfk/PPPz7x6c7tzabbf/f/xVdn6rVuiVa5jFrL+mCiU2xbJ0djvWq0maB9Uk5oRUvlcXool+3ChWq2a1zD02Ni45Br2yXIr8wT1qhe9Wla9KJ37PMj3GoT0t7/9bTnllFNMQblhE6KDzLbT95MvpIfxWnS6Xu5PAiQwugQonkf32nPlJDArCeAD9YMPPhjkSGbdYmcQoO3cuVNWrlw5CFNpOAffIfRbe/lh24O0gL333ytbPvsxKZVKVjzH2k7VpTS3Esp1cduhYNaXypWyVGtVI5Yhmv2tVCrKRGFO8CsIa4hoqdUkPzYWuNEJvauCY458+ho55dw/SoV50AWehm3jfnvsscfMWofFBR10tt3eOBodg4dmK1asGFpnvdv18zgSIIHZTYDieXZfX66OBIaGAKrm4h/6tp5zzjnmX7fbbP1QqjwGeX3I4zxw4ICZKpzA+MOLQRTPRjh/7q9NrnCp7OUaBzYzVhMN3a4v9lWf6JxUEAwuM8QFNgjmHEKydfMOKBWLMjEnFM/+ewFudLVSNVMKhHTkzRIOtP6P/qbbt5E5btDCtuOLScp51iKAeNgwyP2LB/l9nOqmcQffe+s35YTTX5nFUByDBEiABAaGAMXzwFwKToQERpcAPgBff/318s53vlN27dplvt+4caNceOGFXUEZBme2q4W5gwYtV7KTStmDJp73PXCv3P65vw60cREtouYUIoK2I6HcIA+5jLDsalVyYzGXOaloGER8sSQTcyZiJbujIr5WExPWjfxoI6Jz+TCs281j1QtPl1W/fkbXtxvej8uWLev6+F4f2Op+aqdid6/nmDT+MFTaTsPl/v/7ecm/8iWyatWqNMPwWBIgARIYOAIUzwN3STghEpi9BDZv3iybNm0yC0TRqOXLl5vvL7roIjn11FMDsYwPxDfeeKN89rOfNa2jOt3g6CxZsmTWhgtCrGKbyaJncPempqYM404qZQ9SX14jnD8P4Rwq3mK5JHPqqlx7FbZjBnPdvemNhVDrhi6zHlgfD25eCattN6rq7Q2QcyIaYd2Sk/xYXvL5sWBq6//go52+hYL9B/lBFKJUtmzZIhs2bGhrfY0qdrd1cMY7YS7Yuvn7lvFUMh9u389vN/d95einmbZv3EiABEhgNhGgeJ5NV5NrIYEBJnDttdfK97//fTnuuOOMu4wPj1dffbUR0BdccEEkVBsfiuE6X3bZZW1/MPaXPgjispeXYqYqbmvPV3xF8bVuKmXjAQq2devW9RJRy7GNcP7C39S1lSqWy16LKK/tVJKjHCne5U6ZEymXncuc91zmiMNc17MqOt+ciudCQkpz4kTMfjWMUqtJtVqTKoR0Lmcebpxy9sWy4GnHtWSStMMgh21v3brVhJWvX7++o7Xh/XPw4EHB34mZKm6FB0+zsTr1vs23ywOf+bw840Pvm7UPBzq62bgzCZDArCNA8TzrLikXRAIzS0DdIDgq+qEWQhlO80c/+lFZu3atEc5wmyGgIJAvvfRSmT9/vlxxxRXB5PE7hIvi9U43LR6EYjWzdetXvqRfKRv5y7iuaYqwQfDs379/RsUzhPMdX7TCOVTPViiXyyWZGEfBsNid00Ao645aFRtHjY9PSC4fSZgOlbUOm9DyKjxjLuo8qzCuu5mbudI5MVW8yxVZdPJ6ecZvnNGVy9mv+6yb9ymiWOBsrlmzppvDzTH6IAr50f0U0oPMtWuYInLHJe+VVRe+WQ6tXDZ01c/TrJvHkgAJjA4BiufRudZcKQn0lABE8wc/+EHZtm2bEb1wl1H06+KLLxYIJnxFOLaGamueM0KzEcqLPOdbbrklmCNex++vu+66ruY9yOGmXS0odlAv16eVshGaDYc5rWD2p44HJxA97YbaZsHKH2Pfjl/KHf+MIlqeq+w0NL741bbNcU1Erq2AXZVatWYKf4UVs6PFxez5482dIwNLLaaDbdh2NPc6GKchlAYJ13D6N36gK6d1kEVe1ikAvpDudcXuQeba7XvujsveJ1KtySkf/bDs2LGD+c7dguRxJEACA02A4nmgLw8nRwLDQ+Dyyy83Igvh1hDImrcMQazOM5xldaM1NBuh2xDb8TBtfDC+5pprIoK6Exqz8cOpv/5ehNO2qpTdCf9m+7Yq8pTVeeLjQDjf+aWPJ2tQ5yyXKyXjHAeutD+I2wdh0ab3suRkDBWz1ZWua09Vp77rRHK8irdOzvR59sVznRXujZ2gmWuxQmRH/9pvytG/9sqI09pOJWqEF3cTnt+ra+iP28v7yE9RmJyclLlz52ZaQ2G2/X3at+UOufOy98n6W//FXKLZtr5+3M88BwmQwHAQoHgejuvEWZLAwBOAGFZXGZNFjjNcaIhjbAjTRr6zH4aNXOfTTz/dCOerrrpKkA8LpxkiHD/DvdbjOwUAIQj3CM7pbNyyqrjtV8pGDmY/eCW1F+r1NTLC+ctOOBvdGfZdNud2IdzlUknGTZ9nX/jmpIpc4krV9GVGeC/+BSrcF826kFzO5iAHW9yNbpC77PYvlotSGJ9TFz4eF8X13JJcb5EFK54hz3792yO7+wW00FYs3mt60EVQL8WzDyrrit0zVbOgV++xx2+/Q+589/vl6b99vqy68HxBxAra1Q3qQ5deceC4JEACo0GA4nk0rjNXSQJ9I4APmgjfhhCGy4yWUxDN+KB76623mgrauqlbDUEN8Y08Z78KrRYU62bys70VTJqHA/hwu2/fPoO1k0rZ3VyHpGNQSf3cc8/NariW4xjh/JW/DbSu+SZe5dr9bMO2NVw6J5VqVSpoBZVDFetxySfkMtcLWl+YNxfJ8XBuI7hzOTEtswpoVeVvMcEfvNQoXDv6+2e/7ndlwcpn1PHyw5XjbvQgO4gz8RAmCyGN91+xWJSFCxe2vHeHYYf/eu055sHSb/w/m3aT1YO9YVg750gCJDB6BCieR++ac8Uk0HMCcJ0hmCGgUWFb85bhMCP3GbnQ2HznGT/jg+n27dtNoaMsqjHP5ry7Tj+Aaxgqwo3nzZs3ox/ctY93z29EFDD6ysfl8Qe3OuHcyP0Ni3tBSKLVk+mfXBMZGx+TsXzeS37OxUKvmwnlaF6zH3md7CCHY0XFc131sgi60OEOj4+63nb31c8/TVY//xVNseM9uGfPHuNCw43Gz4PqIPbLeU4CphW7d+/ebaI1ELXRbiE9hMJnWUegH++jRue4+30fkMc33ylPe/N58vS3nG92G+QHLjPJiucmARKYHQQonmfHdeQqSGAgCcRznfFhF8IJjjRCurFpmHYvFjCbxXM7H1LVfdfCX4PSGqdfoueOr/ytPP6QE84AFuQBJ1TCzolUqujLXDI9kpHLDLc50VWOu9bm5k0WyuokR+/vJAc5eryK57gwjhcWc08F2n77vPQdV7a1r1asx72DmgSD2I+4X/dRK2CdVuyeLeLy7g9cLk9suV0OP/lZcvJffijANFvW1+q683USIIHRJEDxPJrXnasmgb4QSOrXvGXLFuNI4wM5RHQvP5TPJocn6YIlfUjVStkQzlm0lurFjdIP0XPHjSqc40I56hRXxfZENi6zy2PO5fKu1VQ7rnJYRdsK2wSXOPKrmMhGa+YAsh0LP5eLRRkvhOHjza9DvJK3N4/YdFY/7+WCf+1s+vAF9xHcaHxtlBvdznhZ79OP+6jTObcjpGeDuHzizjsF4rlWqcpJf36lHPnsUwyq2ZbP3en15/4kQAKznwDF8+y/xlwhCfSVAKpkQxBDOCMnEVsv3eVmi+s0tLmvoDI4mf8hHA8KsF4InE5CSDOYRsdD4L5Aq6pePDjZ9+BWufOmv4uEWZsJBhrafgOX2VTMzueNaLYVs22OM/Ydy2tBsMjBwTgNHeVArDYXyfUOclTlBoXLdOLxcRsK8vjliArrBctXy7rXvLWta4b7CYyQB+0LI/1dL65fWxNzKR4z2fKsnXk2qtg97OIZwvmeD14h1XJVjjjpJDnpw6HrjL9DSAvpR+HBdq4B9yEBEiCBrAlQPGdNlOORwIgTQNEv9HVG5W0IJLjLfhXufuMZ9g+qzXjdd999RizD7UFe6rB8YIXoWbp0qaxZsybT28EK50+EStno4dB5RsXsSrlicpYhmBGeHQprFdVV8ysrnn1XuV1H2e5n3eTQSQ4XGh9HX/FFbs6Ej5uq3+EEPVZJYd9JKGPncj+uffVGWbhidUv2qMSOTcWzf0A7lbpbniDFDng4hyiWmeoX3unUwUsfRuD9umrVqk6HGJj9//tN50mtYqvPP/PKKwLXGROczX9vB+YCcCIkQAIzSoDieUbx8+QkQAK9JrBz505ZuXJlr0/Tt/H91lI4ab/aS2W5QITtY8uiKJzO644bPyGP77R59PHcZlMxu1I1odhhxex6ZxhiF62oIHzzQSsqPUNU3LoTmS/JQrk9kRxGeUf3L5XKMlFXbdubS923Tc4XCQ0XWf3cl8gxz31py0uKew0PGZo9lGlWqbvlCVLsgHto/vz5mT+ASTGltg6FG41q1NoWrJ1e220N3Ked7v3QlfLEHXdIrVyT+SefJCd9KJpDP9vrTPQJM09DAiQwwAQongf44nBqJEAC6QnACVmyZEliD9v0o/dnBP8Dt18pu5kz2J+ZdXcWuIaoqo6ohLTbvoe2yo4f3SqPP+SEs1GjOYEEhrCrSU7Gx+Ey+xWzjcJOdJbhTteqNZv/XBeCHXWVo6HXzZzpJOHt5pCoeXNiW2bF+037tOJ9pBNIBq57/Wsve9t7W6LvtGZAP91opIesXbt2RqNaWgJM2CHeYs5nhjD4QY4euffDH5Inb7/TVKKHeH7BjV+OrJD5zt3cETyGBEhg2AhQPA/bFeN8SYAEOiIwrAKznUrZw/xhNYsevRDNO350m7kftCo2mEAAQyyPjY27XGYVy6Fgrc9ZtgIXxyIc1TqDKlAbtKeKaNkwPDzZTW5V1KveeQ7DtmO3fJIorhPhjZxoy2D1c14sxzznxU3fS52KZx2sH250FvdPR39IMtq5UQ9kLfSH/s/YBu2B35N33yUQz1KuGfG88tw3ysrzzotQwYMAbDOZC5/RZeIwJEACJNCQAMUzbw4SIIFZTUBb7qxYsWLg16mCuZNK2fgwjvzhYdvSVEre99A2I5r3uTBtCN5yuWLEL0RvPgeXWQVzo7zl5DBsZDxXKmUZG9d8Y194K2U9toGjnOj4esd4FwvOeP2Wk1KlKBPjrtp2S2Ec5kBH+zs3E9AiL3/re1qK57TtzXxnNctCdmnun5l8r7STE9xOxe5+ruHJX9wtW//yQ1JFSfpyVarlmvzal79UN4VGDwb6OVeeiwRIgAR6TYDiudeEOT4JkMCMExj0vGc4fHCcECrcqcAY9LU1uvjdOocP/Og22fFj6zaXTYupquRzY15YfhiOHXWX/SJbnkvs5SxrGHa5VPaKdTnxbA5JEsANHGXdPwCQFGYdO9YLEy+VijIx4bWqci2swocCcbLR9UVFtL9vOI/nbniTTC5vXLiqHaHX7pvbF4RIPYA7qXm/7Y7h7zebxbO/Tn34h98VCgXz9yENt25Yb/7dC6QG0Vytma8nvP/P5IhnPatuKOY7d0OXx5AACQwbAYrnYbtinC8JkEDHBLIUAR2fvMEBfuGvNEW/BnFt7TC6/vrrZePGje3savaB2/zAj2+TvQ9uk3KlbISsyWXOaUspV9k64vomu8ta4CvMWY46tBAsNmQ6QSzXucrJgrpOvPrH1eVSh8JcjysV4wXDtHJ3dK7JzrUbrwFdPWZy2dPleadHQ2/9Q3p1b6HqtB/i202eb6f3T9s3Wo93TMNUK3YjMmVycrIv4dHbrv6wIGQbbamQ53z4ic+UE/7s8kRKadbWY+wcngRIgAQyI0DxnBlKDkQCJDCoBOJFemZqnr5ghvOW1AKo07kNa6hkJ87h7bdcJ9MP3GNzmXN5GQ9CqtsRzGGRL82Ltoxj1bY9ZxntrMZMzrNfuVuvTFwsJzjKKpQjOjeaEx1U6I5ccJd3XZWwYJgpdOZv9aHY9QI6IVy7zgm3Yz5vwxsFIjppQ0QEWqD1asNDCgjCAwcOmKiLRYsWte2qdnL/9Gr+nY6bZY0CDYfHHHpVsXv7xyCc7zaiGXUAapWqHP++D8gRJ9e7znggguvYy/ulU97cnwRIgAR6QYDiuRdUOSYJkMBAEdBc4pn4YIcPlfv27TM8shLMPtxhLYjWjvi5/0e3yvYffN0sF4I5b0RpM8EcCtRW7rJtZ5XgTOe8StfmzC3EclNH2e/zXC/WfdGL79FOCyIFLbUQIpvH15r2pPbzuN0d4J07cLqbVNiOPjCwYyxc9jT5tVedm/h+7aeTqG50pVJpSwy2c/8M1B8hEdPnGcW2si6oBSG9Z88e0/MdLn4W4z/6tVtk11dvMv2cTcg2WlPBdX7/nyViHdaHeIN2j3A+JEACg0+A4nnwrxFnSAIkkAGBfubjQaxDMEMIIE+xl6I9SzcrA8xtD9Eo5xnr2fHjb8h9P7rVy2XOQjDHi3wlVce2YrlURpsom29c5+rWucqtHGVU6g6Fc3Q8+/sSWmpFRHJOiqWiuXcwH9unumIqhxvXPcHRjoSJJ4nqxMJk9nJteMsfzLh49ifQTsurbnPm275Be7Bjt9XL251KVhW79//yF3Lf3/yVDdWu1sxX/HveDV9oOJV+Pmhplwf3IwESIIFeEKB47gVVjkkCJDBwBHotnruplJ0VpGH84Brv0wtX7oEff0N2bf4P22LKhSvbvOS40G3XYXaCORCTWlSrQci2uSA5KUI8a2h4E7EcnZs9Nlko14vnmqsQjjHUVfcLnKGAnIpnFcb4CoGEDWHluaCquN5JCeHaXkG0Rvfbcc9+gaxZ+4K6l3fv3i1HHXVUVrdpx+M0anmFPuFbtmyRDRs2dDzmTB7Qz/dptxW792/9hdz38Y8Eotk6zxVZdta5suLs5AgFMO3n2mbyGvLcJEACJEDxzHuABEhgJAj0wvVRpwfCT8MlETrZ720YK25v3rxZ8MBh9eL58si2O+TxX/7E5L36ucDB95ECW0m9lxPEsIZlO0Fc59Z6ojziBiNsuxyrdO3GaCaWwzGSXOawEjbCsVElHMLXCuBQ+PrrLZZC99vu4Y0L4V2pxNxq3SVZQIc9q+N3p93/jN/+n3W37SDdV74bjRDlgwcPyrp16/r9Vkt1vpkSmJ1U7L7rXb9jcpxrVRuqjZDt+WtOlDV/+oGGax/W6JdUF5MHkwAJjCwBiueRvfRcOAmMFgEIXLh5CxcuTL1wFCBDcRx8aESP5V4J5ifuu0eOOObElvOdqQ/lLSfWYAfkaf/861+U3fffI0vnj4UOqmnHlCw+m+cww2Guz02uF8x27LrQac/YNmHbpk3UHElyvfXYuFgORX8olAPBmsuZewX5rnDV82OuQngufBAQF8ilUknGg1ZVDmRCpW/kSSOsGw8e8nXFxULR3bh1lR17zbOfL8c/+/mRK7Zr1y5ZtmxZt5e5J8eB43e/+11ZtWqVoHd7Fvm9PZlowqCD8D6N55bPnTs3KNL2wDVXyZO/tAXCTJ6zy3c+7t3vlcOfeXJDTHgwifZj3VRN7xd7nocESIAEsiJA8ZwVSY5DAiQw8ATSfHjtRaXsdoD99xUXmd1Wvvy1cvjqE+SIY06oOyzNutqZQxb7mDzwh7bKQ/fcLgd+9TOpSk0ef/wJWTiJhxkqav3q1lFhCfGXKHobOsxRMR13l82a4o62c6PLRrgitxhziAvu5J/tvtHq3Cj2hVxlk888EQ+zbpAH7QQyxDPyrkPRG3eUo1W+NS8a8xhH2HtdIbNGjrQKc5Ezz/+9yKVGESg8HBq0DSH/69evN9PSgnlLlixpu1L3TKxnEN1Zv2L3oVtukINb7zUPeALxXK7KYXCd3/P+psiG4e/PTFxznpMESGB2EqB4np3XlasiARJIINBpGCpcGrgq4+PjPamU3c5FuvefPiZP3v9LK/TMv5wcvvp4OWL1CXL40fbroLTiSlrPjh/dJgcOHpTHbv9P47haUZeTak5kempaFi1epAszhyc5z0Y4+7nPqQWzlzPtj+tylqOub7tiORSzVZObbAt8mfxtJ2SjAj5U70kh3yhaNj5ui5bp1uj4YAc49zXrcoOZdaMjtnqDW87uc/wpz5ETTnlusM+giqJ4pW0Vpni/Ikd7EN3oLCNf2vm70ck+O/7hanni3rulUiyZ6tq5Wh43kgnbXvfJG1oO1et6Ei0nwB1IgARIoI8EKJ77CJunIgESmFkCEAOtHCqtlI2vCEPsZaXsdmg8/N1/lYe/+zUvLNkd5YQ0xHRh2So5fNXxMmfuXFlx6pntDNuzfR76yTcFxbD2PPhLefyh7UYw58fynoMLgWyF4/T0HtPbN3Sew5DnqItrhWkgHiPhy+06zE4ER4Q3RLkV876ALZXK1nl287Rf4s5y+LOuB64dwqiNaA56UTd203V8P6Ra5+FX/A6n4Tn0/twi8wwvrQ3prthQ8cSQ7vhtkJPXvumtwS8H1Xlu1qaqnUrdPbv5mwzci5oLWazjqe33yoOfvNrmN5s856pUixUpHSrKgle+Rp5+7nlN01IG0VHPggvHIAESIIFGBCieeW+QAAmMDIFGPZFnslJ2O/B/9uF3BjouZ9xRK8h8DVmqlGXChBpbYXr4qjVGUGto8vIXvbqdU7W9zxM7t8kTO7eb/Z94eLvs27nd9CZGn2LJ52QsP26+6haEP6sIreVkes+0LFq0OFibL2Dj4hlubrDFqmfXhWQ3CMfWE2lF7LrzOXsfggDiOUnAByI6CAWwLnO1VrNO7xj6Masgt9cizgA/J4aRm92tKLdh2xDwnnPsRV7XtdAyJ/HO5e0LUY85QkBjjkGP64Srvf7lG+SopTbPeRjFsy5Ji2Th6+Tk5Iy70YPo4h/41b2y41MfE9HiYJWqcZ4hoOcde4Ks/uN3y/T0tEk9wH2DB12IwvE3PKzANohuf9t/zLgjCZAACXRAgOK5A1jclQRIYLgJ6AdqFBoalErZ7RB95Htfk0e+929WHGn4tmolzZE1FaLnRHVRZF/3Q/C7nCx/4ekuHFpnoS5u+DOEHITykw9boRxWbbYivlYVKVdtXm8+j2JYEI92C13daCXoqhN5e/fslYWTk67FkzcHPY8TgBCKfhXuQCS6BwVW5PrHuwcMnvDEXOJFvSLh0p6zDOcZwlXFc/1xJqpVyhW0jULv5XGRoG2UFxKuHHQesdDz+nzm0Hk/VCpLIXC/wwXa8PUoq2QhHYFir0cwZ3F50fX7LF66TE59+SvN/oMo+DCvZs5z0vtpENzoQWN54L575aFP/7UpCiaVsDgYHn6hWNgxf/wncviJJwU4G7W+wgOWJFGddB34OxIgARKYDQQonmfDVeQaSIAE2iaA/DxsEDz40NerStltT6iNHZ984Jey7Qsfj5iQge3sXGhTIbpQiO5jjEzngqp2risk5cKKTaXraGi0itxQrIYCFAWqrJsJt3XMc5lt5eu4MAwLb4Wieu/ePbJwoRXP+P9GlbZt/2QX7p1Qcdp3iCNucgeC2YhLJ3JL5YoL2/bDpO331ZqGZqPVlIZ2h8cmFyar5xGuOS5g7Vptn2fb9qxeHEcUtLuD4iHdUYEd3GYmLxqFzFD9u2beB0FItxP3p77sFXLUkqVD7Twnva0a9Y1u4y2YepdBEs8H7v+l7PzMX1uXGZEi7iscZxQLg+t87Lv+tOGaNbUFedxwpFH5nBsJkAAJjAoBiudRudJcJwnMEgKPPPKICRHsNkxwkD7EdnJJtn3x47L/wa32EHUwvYjeUkXDfDXH1nORgzZO0SjgwMlWZ9cTmyZMOhIenTOhyaa/sClG5URXTsSKbE/QxQpkxcOjNWwaIaFB2LY3B12kXyTMhm3H21FFxX7QzirmVNvzO3FpWMTcYa+qNvYrlcthoS+3Lx4UVGpVGR+bMGKzrgq3jpnw4CDp4YA+EAjWGl5Y812xWJZCIRTnoeMfE8W+m+1equ9HnXSnuYcBJk/bhuWagm4isnjJEnnBr68XOLYznfOfNPNOneekMfrtRg/S353tf/4HUlO32YRqV6VWskK6WqrKKX//mbb/NA3SutqeNHckARIggRQEKJ5TwOOhJEAC/SOwadMmueaaawS9Z+fPny8bN26Uc845p+MJDHJl6maL2bXp32TXD74eimenI23+M9IWUagqb4WdakXkRTvNGTjBESHtXGkn3HzR5YdKIzwZBtXYWD6omO0X7wod6kDZR4p7+SHXgQgWkcefeFzmzz/C5eH6DqsWWa2UrAAAIABJREFU47LjNSoWpqK4qWhWIR8TzBpSHohqT5xbRx2h2HBo0VQL+cy21VRd0bI6sVzvotcLZd85jn6v10lDx+20wn2ShXFj1zm5v3MYHq73XA356tWKORdaXb3wRb8h6AE8aOIZD8+2bNkiGzZs6Pi9n3RAP9xorakwCCwf/tzH5cCvfhkVzygS5lznoza8Xpa+5g1tsR3kCuJtLYA7kQAJkEAXBCieu4DGQ0iABPpDAO4QHGZ8veCCC+Tcc8+VV73qVfKNb3xDrr/+epP7uHz58o4mM0gfZDuauIjc/rE/CnOaA/PUCmCEE0PsIYw6TPX1RJK3fyBGnbKuC5fOWZe5VKmYKYbVmsNc4kCwRsKtPYdXxaiGHQf6D22q7A8HDhww850zF+HJ0dBmdaexX134uGsphbZM2GwrK8+Gj/RndgK8WQh3xCnPifZMNg8jtNVUnbPsn6+Z8E8WytFQ7FjF8JxIqViWicB5jvZ0buhCh88uopEAwY3mRwfoL/35aUh3xRTZWrdu7cD1eYZ43r59e9DnudP3ULP9fTd6wYIFmaV0DMoDu0e+8LeCXGeEa9vCYDWT32xcaBQJO+YEOeaP3tM2UuY7t42KO5IACcwiAhTPs+hicikkMBsIbN26VW6++WbZvHmzcZbxD67z5ZdfbkSzbpdeeqlxoK+44oqOlz2soYa/+srfyVMPaei2FVQ2pRnf25BqW6HZbYEDHQrIJDEauJk5hCzbytEQjmMTqKwbCmIjVOt6Fsec4Xj+ciCuXZiwJ3IhnjH+vMPmORGsYjgqONET2oY+hy2lVHxGQ8ajhcKse+63oVIOqjKjhcgq1Zpp7QRRPjaOHsm2MnU0fzvuLOs5VUB7otpdhro+zoEbHlG7kQcIpWJJxpHDbjbfKY6K3Xoh7V/8Zm+NuPscjovvkA99yiknCUTkEUcc0XWaRMdvzhYH4G/B0qVLZc2aNVkPHYznu9Hz5s0za49Xme7k5IMgMnf98yfkwP0QzraithXMVjyb9lSlqqz+/XfL/OOf2fbShvXvaNsL5I4kQAIkkECA4pm3BQmQwEAQ8MOyEZKJf+vWrTNzg5CGWPad5ttuu02uuuqqrtznYf3Qh5zn+2/6RBCWbYKyvUJa5bLLew5+ZwuGxfNzg8rTWkwMLnMZIbtiimCFRcai4jLulmrYtBW3sfBiFd1xZzrIkUY7prJxn4888kg7RxXJRqRb0eiL42jV7dDBDkOvQ2GbVKHbr5od9Gau1UxoNoKz1WHHwwMcbwtpdSqWY2I7USjHXPbgHRgy8FtVRUOv4y60td7j+0Tf1PWCu06T+znrpjBaRXB//dYb32AiP/bs2WMEZKs+6b3+Y4L3/dq1azuOOOl2Xr4bDRGN3u+dbjP992bXlz8hB+/fagVzFeXxbTsqPCCplSom33nuMcfLMX/YvusMBjO9rk6vA/cnARIggSwIUDxnQZFjkAAJpCaAD8XIab7uuuvqPhjjA+zZZ58tl112WZDrmPS7dicxNTVl3KRhqLQdX9Ndn3iXE6qeWHXmsAn1neP6sDph7OfbqmusgtQU/1KX2bRb8p1fCFcrYP0wcCNyIdY8BznowRyc0x6nAtjPeQ5ErTveFA1bvDjSisrs44VZR8W/c7q9c9XnPkfDqOvm4sLSkduM18bGkc/sP2SAeEQIvBXP2grLLzzmQYm20fJaXumFUmHbyIGO74efi65dlnktIo7dNYqoZX1aYkcKW3fFRHNdpXJ3fSNB3vZ6o4gY1n/KySfKs04+wYyrjiy+n6n2RFkUC2v374S/n7a2QxX0Rj2PG407kyLz0Rv/Xg4+gBxnF6qt1bWDPGfrOp/0sX/sCIveC4gC4EYCJEACo0SA4nmUrjbXSgIzTAD5ivjwCycZhb/gLMNRRt4yXrvwwgvl6quvlmXLlpm8RghcuEzYsB82vK4bfod9Iao72Ya50M1jP7pVdv/kVi9k260cebJl9CcuBP2J1ckNxBuEHXr9llExO2fCsgOXWatRew5wEC5tTmEVup/rbM/si+wwZNkXzGHos7acCkXd1PS0KUrlh1fHv48c78/Bn7P7XvOpwzBvO0edj81nRn44+jNPeGHZ4YMDDYHH63WC16/k7dzxeKE15RJnoPdoXY45XnAXSa9V8VA057neXW7dwireLiwamO2/Y6Ih3NDYuEfG8mOSy+fkTW88M/L26keRrUbv55tuuqmrQoGd/H1otS/+fuDhHR4wtBPSPlPi+dBDW+XRG6/xQrWt4yxVCGbnPpeqsviVr5Ulp5/VatmR14f5AWRHC+XOJEACJBAjQPHMW4IESKBvBFD0C9s73/lO8xVOMwS0il+IYYhoCGvdjjvuOONGJ4VpIw8aArtT8YyxZ+oDbRawf3Ht//ZSkcNQX1TFRth14AoHoc8iFThNkILIZR4f99xSry9z4DxbYRZWpLYCNNR4+looTCMh3RoOruLSHKk5z+H3+B3Es3We4/nJnlBX4a4h4IHzra6wHqtj++Hb9ncQfKZiuOYyx8Kx/YrdcJ2raN8ENz7hoUJSX+mIyPbDz71w6GCfmJOMBxoWbhiSXSxp6zGfu1tfXZi2z1TvsGjeeP1950UUeC+6+uxi7iX08Dbu8xo55VnJOcYa1lwoFEx+dJrc4HbeG4MgnnWeuKewfqQeNHKjZ8qhPfTQNnnslr+XWkWseEZ+M0Szl+eMfOe5Rx8vR1/c2cPHYf/72c59xn1IgARIoBEBimfeGyRAAn0jcO211xp3WXs04+dt27YFbjIEMlxphGijIBBa0lxyySWmKNj69etNxW1s7373u43Ihvi+8sorA3e6k4Xs3LlTVq5c2ckhA7Pvjq9eK089vM3Ox4Vs4xu4qnBBcyh0ZSpwo4iYDapWl1XDsE3odiT0WQuPRd3jaGumUNwFIcwmhzmoXOYYOcHniXE/d9gXmrun9gRh2+G50BLKLi4MNcfPCKMOC3P54dR+SLWOAxFsQ9NdLnc+gBXLA4+3w7LOq3GeE4RwKLTdBYj3jda528kG+chaHdysywu7jo5nj0HO8/iEFgzTW8/Ld3aVxqM3ZTy3WW+Q8PhoanNyWDd+a6IYvIcHv31e89ZQqGK/b98+c6JehnTfeOONpur+oG2N3PiZiHI5tHObTP3LtSa/2RfP5meI51JFKu7rqndcKocdd2LHOIf54WPHi+UBJEACJOARoHjm7UACJDBjBFDwC85Ns4rZEMynn366Ed0QzAjbhsCGI41K3N32ex2ECrjdgn9q5zZ58GvXWvHrFeSCiDV5vLmcVGo1yefGjBMY5B7H8oTrhGHgFDuX2InASH6viknvvKFL7Yu1hLZWEeFr3eI9e/fIwslFYai5Vx07dKNDkeo7xEabJrSlMqK5XDYuey4/bkKPI4W/Ys51pM2VWzPE4/gEwrbDNcULlulLQR54IJY9txiQfQEdcfCjbrO9H6xALhWLMjGBFl52i4dgh7/38p0DLdzMdW4hsM0tBae+ZB+4mOciOVm2ZFJeedrzW96yKiIhptHuSh+UtTywzR1mKue5zemZ3fwiY/g5y7ZXreZRfHib7P7X/yNiCoLFxLO2pSrZCtuLXv4aOepVr281ZN3rM+WmdzxRHkACJEACPSBA8dwDqBySBEigNQHt3bxx48aGOYwQyxdddJEJ8+5WJDeayRNPPGFeQs7iMG73/iNCLcNq26icW0ZYZrVmWhxBOMYLgEWFtjrPRh7ViUQj2DxhGh/LF97G5Y4IN288J7L9MHDTl9mJyD1798mChZMRcasuclCwzEq4IIxcj48LWzw4MG228ghNd8I3VgTNPyboHx134AUtu8pOPPoFyuw8DBv3PxHhrBwhlp0tHi8WFjrOMYEdEcgixUNOPGM3r591eK+GIjiSW+1YRe/pJMHs1hIEGmjAtj0SAgkPD8IV52TDac+VZUtxrdrbVES2kxfc3ogigxS23WrOYHj//febCt1ZMmh03uLD22X6365DSnMonstiwrW1JRWc50qpInOfvkbgOnez4bpiy/rBSDdz4TEkQAIk0G8CFM/9Js7zkQAJGAJwkBCC+dnPfjbyIQyh28h5Rr9nOMzIie6ml3M7mIc59HDqZ9+Q3T+9zYRqQzDmxyZMfmqxXJbCRMG2eIqHHHs9l+PC1IpTK5XCNlEqsKKh3NFiXC4/WuOBg9ZMKg79XGa/4Jg6z3tNq6r8mM3DrrnQ7EDYBk60nwMdim+4zCZcvVazVbPzCPmOt+eKh5F7vZ9jfatV1JuCWSY33BepvotsQ68jIddGNEdzlK3IDllEC4O5sd04tapdS7Vm15MXG76u1cDDhxyhpI3e5/E2VnHRbH8Of5vgULtflVHtuxDmfOPXEM6nv+I57by1IvtoqytUt08T0o1x8PcBESfDsunfGN+NTsOgoXB+ZLvs+fo/uHZUvnhGL2dXHAzOc7kilWJNnv6775LDju08XBvnx5pmumXZsFx/zpMESGD2EaB4nn3XlCsigYEnoK6z7yhDLCPPGf2e4S6hirbf67kXixrWvGe45nvuu0ue/K+vmEJFYe5yTg4Z0eOqRAfiOVZ8S3stq6vpCUi/GJatpB0V4b5LHbaiUsHtxLfLp9Yw57CVlA2ftpHMdk779z8lhcJcFyKt4eIaZh2t7g1hqvOD0CxVbIg6+jMjNNsXzXaenmh1LMKHBt5rnhOux1nnORTPvpOs7nHgOgeVshPc5JgDbbS0iml3nMlNL1esY4589VzO5DxPwD131dFxnKmOHplrXESHYjxUyMkCOvJ+8h6yqLzWPtOB3HaX5IxXrJPlSxd29Xb084IhIDttFYdIFNRByDoKpavFtHlQ/AGdMkAu9FFHHZWJe1vctV323vYpV1Ub0SdOPKNQWAXCGQK6YlpS4d8cuM5vv6TNFdTvNswPHbteNA8kARIgAUeA4pm3AgmQQN8JwHX+/ve/LxdffLFxkuAwIwQQVbX7uQ3Th0DkkOKhA/rMghXCQHd8/ZNyYNevXNi1VTdwnidcrq5f1Mt87+UpB8LY6C/PiXXh2ioiIyHBul+g0UJHN9zPiVjTSzksJBYKaCv4tNf0UwcOmp/nHjYv/L0Tc2F4d1hNW4UmXHY/NNuIYiNKverhsbZW8TDvkIdjA3HuBK0Rz2M29Dtwl9VpjjnMKqKDBwvxatpmbgmh3CgM5nKzx53zrvd/qRSGTWvOdMW0GKvZhwUIy69XwF5udANhrc5zXc9nT2SjVZXfZ9qcx4V150Te9uaXpHqb+j2TOwlnxt8JbIhGGYatVW6wOvJ4SNOtk1t69Fey5xufNFX7TFXtSlWqQYVtfI8CYTbH2fw7VJHj/zzd39lh+rs5DPcJ50gCJDBcBCieh+t6cbYkMCsIII8ZVbbhLp966qmmujZ6Pfd727t3r6DFDnISB3WDy4wP2ZgnRLPv1k39/N9lasu3o32MUV07nzMVt8O85NCxtTou1topEKtRNxaiOqmSthbYUlFpeytH3e260GknvP2iW/ge4vFQsSjz5x/uXO5wDr5zXIJwDEKzUU08YR3BHDAdv2K3C/P2CoWFxztR67WJwnnxkML2zHaC2gjiMGw7FMya/+xXIrdi0whxPc7dYHa8mhGnxjV3RbncgqIFwwq2YJhfmRvj2T7dCNUfN6H60S0hFDvYIe5C68MN3SHwmW3BMFftOzSm7esrli6QM195SiZvmU7CmfGgDX3fZ+JvRTeLxQMvtLFauLC5Uw+R/dhjj5k8806KrBUf/ZU8/q1Pm7ZqEfHs2lJpuLbmOdeKFVnx1nfJYc84oZvlmGNmonp415PlgSRAAiTQAwIUzz2AyiFJgASaE8CHYAjnmXaQtL3O0qVLB+qSJbnMjSZ47/UfiOYp12rG8c2PQTyrWArFrTrQ1v21Ik//xXOeVRD74/hh3aEIV+daXeewnZS62jhO3eZAaKMqeKUqjz/xpBxpBEY01Bp9qa1QzJniXaj6HIpyb/4q/utEvDcPDXeG/nVC2YrbqOjV14pF9FkuOAHs7xOrnu3nOPvjxqpqm3FNeDaqgCPU3BbjirjhWl3MVNv2W1XFc5ntdQM7VFTGtQ5FdBth2pF+VW5/Ne3da3h4gAc2WiguuJMc69f85rNkxbIjM3vfqEuLARvlBCOdAyHbw1Koampqqu6BVytgeJiwe/du80CvWW508dH7ZO93/q/kkSOv4hk5zdrLGfeG9nQu2ZDtwtPWyNPf9q5WU2j6+jB3KUi1cB5MAiRAAo4AxTNvBRIggZEmMEghiHDC4TTjg3PcZW50keA8T235TlCNGvpLQ36t6NV/YZGtIBdZX6/rxxyKWFtFOxThQfi1X0XbncPqyHwoyo3YtUXAfKFuNWI+yH1GxW24czo22mzZ/tRwZhGiHBXnONq63aH4N2tKCPf2i2ypixx3hDXk28zViWEjXsfhPMcqa6sI1yJfmtOcmPdsmVer6KtbMaHW6jTbQmJ2/n4FbtXPxWJZCoVowbL4vnpPQECDF/Lfk0V0gqD2NLNfQkyZQsxOTKBgWOhOB750TmTlsiPlta88KfO/Hc1c2GGqtA0waf62NOobjXGLj90ve7/zGZTRbiieEaJtKmy7POdqsSLHXX5N6uuVZk2pT84BSIAESGAACFA8D8BF4BRIgARmjsBMfxiEyzw9PW0AaC5zJzSe2nWfPPjNfzKH2NZSIsWSV3E7EJj2dS3YFclpDgSytoPyqllHqmjb133H2WpAJ25NmLcf+u3tGwkND8PGceyevXtl4cJJIwBNf+p8XvLjWuk5GmJuzWLPLXfrC0LIXc6zzkvzha3zGzrNmk8dFP/yhCx+F+Qcu7BrFbtBGLdf+MtdsPA1605DAEHYmhxlFHZTga3n8i60hqhrmDec74IWfovvFzjUUVGMNmWVSsU40abwWGSLCegmOc94CetH7rzRzuZ/nHQOhsnJr61dKc9f+7RObteO9tWQ7nnz5pmHK8PQ49lfYFZ/W/zQ9iOqT8oT3/+82MTmevFcRd6zqa5dsc5zqSqVYllWvOWPZd4x3Ydr67qyWlNHNwJ3JgESIIEBIkDxPEAXg1MhARLoP4FuQiuzmCXOi/zBTlzmRufd8c1/kgOP3h84t4fQrgqVmp2Y1mrcQeErv7q21+M4qZK27/Badxci1Hd5kXPrHOZYWHUgUNX9Vie6pn2hbVGxfXsfl8OOONxUt4Y7G/SXdjnKfu6zDTsPBXqwpkjItyeSNSzbFflSJ9mveB3kMnv5yUVT7do5z36+c53DHHOOnWiuVV3rLKwnOMZK0TA6Ozw2EM8ux9kXr/FjzH3gCWgv2tsWXcNDiKqt3o1CZHbzxLMXTRD+NmJFm2rfaHkWr9qt7rPeNq9/1Qmycllve6WreEQl/rPOOsvcJ8OwZS00DzzyK5n+7g1Sq1ZkPGdKG3jOs21HFeY5hwXCCiuPk5Ub/1dqZIOa5pJ6YRyABEiABDogQPHcASzuSgIkMPsI9LMADj58ImcQH/4XLFiQWaGyqdu/K1N3fDfIcS6VKjI+MR7mGEd6GYfCN5L3HMkb9pznII/YFuDyXea4qPXzka25Cic6bwRYfF+IZhQBQ0g2cp4nFy0K2lcFOdgNKn/7YwXC3XO8Tf9lzT/GPFCJWAW+7zBrATBPNGvoNgp6aZ/neJi3H95tdKwbE8XPjGg2rbN80axiP5pjbY/1HWEnrA2bULxreLe++3yhHb4jvXMoCxP+XjHCGSLa3ga+iI5JZ8+NxnETEZGa02cWTorbY5+2/HA5a8PxffnD8OUvf1le9rKXGXc9y/dPryafpXgu7n5A9nzvC5JDH6oaXOWS+ZeD+4xK6KgZFuQ54/WqVItwnSty7Hs/kckSZ+pBYyaT5yAkQAIkkBEBiueMQHIYEiCB4SWQ5YfcJAq+y4wP/b1wzu794l8EBbcq+ICdy1sB50RsvBiXi8WVMKc5HtKtYeChaLZi2w+ZtmJPBXIQCu4Ed1IIN+aG8Gzjijp3fGpqWiYXLw4EdhhSHs7Jikzf8Xb9om3T6KAqtgrbIMw6EnZtnd5I7rM6wbExTNi267McOL8xkY3zAjXEHFpooQiYzc8ORaovtHVOKmDtz76wDo8rllDt21XbDm6qeoHsO9BmOO/c/r1oHlSgzdX4hOQjIduxcG7XksqI94jzjGchQdazHTpn21e9YN1yeeG6ZT3/A+DnPOM9haJmnbS66vkEvRNo0b/FixenPu2T9/xAnvzF94xQVvGsYdu5akVKB4tGLOdw8Ss5266qiH8VWXb+H8q81dk83Oj138nUoDgACZAACfSBAMVzHyDzFCRAAoNNYMeOHbJq1apMJ+nnMqNqrt9iKtMTucGm7vhPmbrz+1bMVmtG5ObHIHyd2FX3N+ZCRwqCBWHXtsiXurVWPIYFvsIK2n71a+cuuzFUZKtLCvFmq4CPm5xcK/Ts8VPTe4zzbESlmWco+lWAh+Jfi5DlkPIZiEWMHQjVuPPs8p0DYe2HXkMAxwQ0BgrEs9cqKggRx/hGNKMeuEge+cURrmF7Kd9ZDsLD46I5Vpkba7Vh48g5biyY6x3oZFc5GAMh5ZWSdaIRIu944+d4+Dac9/GJCX3G4i5NNLRbj8dvz95wrDxt+fxe3NrBmEkFw7RXMt5fzapT93RiCYNn1QZv96avSHn3A8ZthnjG05pczdjM5vt8tWIcZwjmcrEs5YNlUyQMTvSclceZXOesNornrEhyHBIggWEmQPE8zFePcycBEsiEQJbtV+CIQTjjw3wWrlO7C3zq0Qfkwe98wbmqNSlXq4GzG3FCgzBsK1STxKkVkza32K9i7QvioGhYpD2UFdi6H1xZhP9iX4QN10xPYq9ythP0+x5/QuYddpgpUBUWI0tud6Uh2UEhMFetWguCBc6yE6hWMIduc9SlDsOk1QW2+9peygjb9vfHkFgTwrMhHPEgIHCaYw63fTjg9Xmuy5W2V1YFddyNNuLZFewK9jNHRMO8/fvDLzpmfx/Pc3a/q9VM9W/klgfh3J4bbR7AVCqRCIlAXpvbxt47ZjQ9LpeTP9p4cru3a8f7PfLII7JlyxbTqippa6fVVccnTXFAFn9Tdv/wJkG4NtzmnFSs6xwRz/hdxeQ5m8raprp2xYRqF/cXZf7vfMBUYM/ioYLyHbS2fikuEQ8lARIgga4IUDx3hY0HkQAJzCYCaA+FDSGg3Wz9dpkbzXHHd74gTz32oBG9qLgN8VXX0inukLoiYDYk2grbUCTjTGEBL5vz7Fxh7Bepeq3HWucbrqzkw9ZMuq864X7+9IGDB43QmztvXqyStwvTds4x3GXtyxyEXgfiOcxzrhPIxom2wtEX034lbl+MY89yyVat1mPMg4BS2bCFaxu6yKEAj4Z3x3tIR/OecY6IE+0uauDUa7VrJ+YjQtgLHw/vhUaiOuH33q8gisAEa8rn8HAD86oZN9O0CbMKOTiNH7htL7+T1TmRpy+bL+eecXQ3b6GWx2zdutXUC1i/fn3TfVXk4T05OTk5Yz2hMdc0QnP3D2+R4tQO6zg3EM8QznCgIy2pIJ4PVWXZb/2+zD36eIEzj7oOSC1IE+KOcbANS4/tljcUdyABEiCBLglQPHcJjoeRAAnMLgKdhiTiQ/q+fftmxGVuRH7qrk0yddcPjPur4tkW7dI8ZQ2tDkOsA6GsVbR9Me1cYptWHIaA+8LXiGsnBG1ots2rzY2FLnNEjHs9m83vcyKHDhWlXK3JvHmHxULFnSDWMGwngNGXOXCg3fdVzR0Oqmu7fGzTxFlDvV2Brjon2ito5s5lxb/dHy40JGLQo9nPfXZzMuLbc5fdtxGR7ZRpEGqu+7hY9TBfuYbrp85zKFzr85mjlbuj90UHYhoPC1BYzORtjxk3GbnpNrTb8vPM5lAw60sqoEXkRc85Sl70nPR5vvF7HJW2jz32WFm+fHnbf3i0SnehUOhrFAgm2K14PjS9U57Y+mMp7n7Q5gaYPGfcf05EG/cZ16rsXGd1nuE4W+d5Yumxsvz8P4xwwt8r8Dhw4EBXbjT+Pi5ZsqQn9RravqDckQRIgAQGgADF8wBcBE6BBEhg5gns3LlTVq5c2XIicHEgmvFhFM5Sr3OZW04otsO9N37MiGfbp7hgWxdZ+9BpNFd4y3Oa/SrZVtBGezmHbrEW7MoHjrYJY3ah2UY0m1ZTKlh9F9s5r87d9AV1pVKTJ/bvlyOPXBBW5XYC1YhiJ0xNOLkKVM1jDqpqh/sZ99wq+rBCeFBYzBfQ4eu+C41DS0XbozmXHwsKhwXiVd1gL5faF+hxMeyLar1cQS50zFlWQV0qlmS8gOvntqCwWL0ojojwyP2g+9YXBfNbUPmvaq9oCGgTNh686GS0u7beLRWEh8OJxnFvPONpsmr5vE5v3ab733bbbbJ27dqOxLMOqO/ZrEKY21lYN+L50PTDsvsnX/VCsxuJ57IR0CZkG++9EkSzraxdOVSR1f/7b5pOETwgpDtxozt9uNgOI+5DAiRAAsNIgOJ5GK8a50wCJJA5gWYfDrVyrvZl7mcuc6cLnbr7h7L77h8aQWvCbv3ey56oRYi2qZLtFe6KhGR7RcI0pFvzlSFi4TCXy7aqtwlvdvnMYfh3mPusx6kIN2ZwLK96anpaJidRcdtrM+U5zuHvXcVs134qmL8T2EHucxCi7UR7guANej1750SbL4hmzA+FwLA226oqdHn1HCE7t57AeY63pPJ6QccrdvsFwbzQcojnCYjnWIh2ozZVSa509N6Jie4gbbn+96blEdxNuO1jYzLmogiCPGc/5znmSms+9HmvXpGpgL7hhhvkwgsv7PTtENlfQ7o7EY3dnLCb/OCDeyCcvxYtCqYFwiLOM4Qz3Oey5CCcTa5zxbalOliWJef8vsxdtabtaas73+rBAsVz20i5IwmQwCwnQPE8yy8wl0cCJNAegaTquMiFxodLiOcVK1YMnMuctLKndj8oD36uolyXAAAgAElEQVTvJhN2C4EMAahiNXSU88HvrOtsezGHrrMNxY60pXIiHKHZiGi2rabGpQan2e//7ERxcKwL+TZCMwght2HgKj7hLu/Zs0cWLpwM+jOr44yvmqdsBCyqY3vtnSJi2a+yrUI0cHYRARtW6jZtpjwnG049tArEMtZWrSDzF06qVxk85mab+XuC1xe65tee261rtV+t2Fa3u86pFpFisSQIN65zlTVMvFFbqljf6OAe8dtTRVpV2bn4uc0IWcdDl7zpVV01xcNwH0Fg6dSDQmGxomGaILBqxVx506vbD7Fu9S7NQjz758D7HSHMafKAG825097xu356mxza85DkXQ/naEsqF7btqm3nqmWUebfOc8VW1kaodvVQRcaXPkOW/dYftEKZ+HqzBwudrqerCfAgEiABEhgSAhTPQ3KhOE0SIIHeEoBARjg2+jBrkR18sF64cGFvT9yD0Xd8/ybZv3uncVCNc+pVuNZK2hCythhY2DLKCGHNB47kJtu2TBXTampC8nnXukpzorX4lQkFd2Laq+qtLa+C8G/tA+25xXv27JUFEM/qAjtnOd6X2YhlJ0xt7rNXMdsT2rpPMF6sj7MW64JohmYxvbfd+jG8LWxcs+2+4uHZXm6zFdChux352SnNQADH3GtfSIf7WDEb5DwHYtgrOKYKNlTG5rvm7nNC6HYYcB2GZ+eQ412WcZP7bB9wGJ1frZp7IJfXCt2aB+3lQ8cqcR+9fK6cf+bSTO7wpDZVWQysra5w/bPK6UXFfRTWaiel4+Gf/rsc2rtT8rWK+WeraVvBjGJh5mcIZVM4zP4zrnO1LDVUTIfjjHDtg2VZ9cd/nQUS8/cPDw7VjZ6ens6kYncmk+MgJEACJDDDBCieZ/gC8PQkQAKDQ2Dbtm1y2GGHmQ+K7XzwHZyZR2fy1O6HZMemW0xLJeQ9x/OYIz2YXfi2usc2nBo5zWGxLOxv2jYZMRVW5faLkfk9oe35Qkfa5F27omVGrPv5yk7UTk1Ny8LJxUYB2p7N6sx6bnOQB61toJyTrEI7JmR90RtW57aOcCPRrGK8Vq1JqVK1LbY0tDoecu3WYQWzVZkqgqOVtL1cbT9M23efPccYx5a8VlWJ7awSWlbV5z43qrQd/X1UVlvxPDY+ZpxnVc+a4wwuCHuG8zw+bgV2kP+s+dBuQOyzavkcefOZR6V+q2TtPMcn5Le6wgO0NO//dkKcD+x9THb+/FtGKOdrZcm7r63FM5xnVyysVLZFwg6WZfFZF8vcp7cfrt3OBVEmcOlPOOGEdg7hPiRAAiQw6wlQPM/6S8wFksBoEUA/2E4q8vp02vnQOyw07/nqNVIsV2TCiWe/L3PoAGt4dlgZGwIMYdkI+7b5zBDNTvw6QeznPkfEtIpk41qHfZr94mBx4ayh07t3T8uixYttgWFtP2W+uhznuHNsfu9ecxelXpSrq27FLZYE9xQh2dZpdmP4x6ubXUOvZ4jICfNqxOE2v/AcZ180eyHlkTxpFbueU+6LbTukfWCAzTrPtmBYUFwsIrytWA+36Pf1Qtrur0I3+VjrIleM82z5hOnN0d7O4FmplM3pJ1xuvRnf1puz53KHHL0CAnpRqrdOr8WzTi6LvOhWf0ee2rtbHtr8H8ZphqOsrnPOVND2nGfnPufdV+Q427Bt5DvbkG04zvOf85uy4NfPSMW32cGt1tOzE3NgEiABEhhAAhTPA3hROCUSIIHOCaAa7/XXXy+7du2S+fPny0c/+lE57rjjOhqok3DLjgaegZ133/sTefjOH8pYYU5QnMuIUiNsQ1fYFg2zYhdOK1zfPHr+5hHureLT9XYOio9Fc6YbV+f2QsKdCDQ5zC53WIUzxGHgPEcKhuWM4MXm72sEZRWC3m7atqouRFvPWa2Zvs3YxpwoVIFuxvbbW3kh2UbAjk/EekR7jrh3/kAIq8g3r3l5zV7Itpmz56zr7RGGf9ekWCxLoYBq11odXU/mh28niGcvJ9pTyvbgSK5zowJiYiIWUGnbSW13Yi8vOtTR5h6BE41NRXS8/zOOfMnz5suLnzu/63dCr8K2m02o3WJa8TGaic0Hbt8kB/c8JhDKeBchDNuKaLjPvnjWwmAazl0WI6KN61yWGtINDlVkbPFqWfKGd3bNtdWBms6Spmd1q3PwdRIgARIYJgIUz8N0tThXEiCBRAJbtmyRSy65RC6++GJZv3693HzzzXLrrbfKdddd15ELPdsK49z+L9fJ2MSECzt24dhO1BnRjH6+NdtqylRWhstqikQ50evCtLUfcyi6nZj2RLgR5XBdVWCrq+sV8QqKfyGfWMVjDZW7UTBsrxxxxJG2wFmkyrYWDPMc6KA9lQ3B1jBvvyo2fod/5RLc0bwLv4672l74tyea7fpduy/feY7toyLYz682eP1w7kg17WjFbqdog1BvM99y2YhWVDM3jaalJuNjaAGmormR29zoj4OW8PJe9/oy14tqOwfb5sx51QmVuU0+tNe2KhTRmC8evtjX1X3GN285c4GsXmGd/E42iFj0ed6wYUMnh2W2LwQk8n5bVaTWEya1qdq/b1ruv/2HgWA2jrNUjCBuLp4hql2+M5z+akly5bJUTZ5zSRa95qLMw7V9cLPpgWJmNwQHIgESGGkCFM8jffm5eBIYPgIIy96+fbvp+YqiPNjgSuHfZz/72WBBF1xwgaxbt04uu+yyjhY5m0IUt2/6V3lq+lHJmaJhttq1VteuwI1FfHbehmZDDGkxMRuKbStiB+HeRsZZl9oX0xrSbXWl72ib8t3meCuGbfhxWD072nJq//79phjZRGGOFftOYKuQD3o9B8W5rBANKm97ec9mbSXk5eZlLI+c5Wj4dn2RsYR2VgIRWTFOtYrpuFusTrfRy7HK2oZhUo50cDeGhc7Ax1RHr9as023CtstSwIMPJ6hxmIaaB0OEsdkt73ErvpsJ7zCkG+senxj39g+Lg0XDvm1otqpkNbbNfVWtmTz5MYjofDg2xPMFZx7Rcr7+Dvqex4Oxmdw0pBtienJyMvj7489J29r57ex27dguu3dstUW/XG5zmOtshbHNe3bOsysQpr2c4TSbYmGVknGepVyS6sGKTJ7xDpnztM6iazrlN5v+Hna6du5PAiRAAkkEKJ55X5AACQwNgWuvvdaIZIRlY3vnO99p3Cj8DiHbt9xyS7AWhHFfc801kd+1s9AdO3bIqlWr2tl14PfZt2uHPPCTb9qK264wGIQRxJrJZ4ar6vWBtrnJoWgOhHHcUQ6Kf1khHXGcTaXqMFwZ4ra+7ZS6yKHAfOqpg2Zec+fNi+U9xwqMOcc6qLStwlxyUqnggUAFHZrrRK8V72Eets2ttsIvFMfONXah4CgqNj5u20X5BcGC7134eVBQLNZ+yjrSes5okTPjmKP4luspDZGJStaqh02f54nQpa2Zvtpw0VGoa9yTwfEq3In/qQ+FsBbzigtpT1dj3QXnPNucZ7We7U5hTrMehD3cPuaLa31Wqwl6RqP4mG1zBbGdk9UrxuWCM9sP4d68ebN5z69Zk21BrDRvYA3pjre68p3aJx/fK7sevE/2750yjnOY44y8ZusoW1fZCueIeA6qatuQbuQ4QzzjX/VQWcYmV8tRr784zRLaOpbiuS1M3IkESGCECFA8j9DF5lJJYJgJqBjWUGwUELrxxhtNaDa2Cy+8UK6++mrjNmODW4XfwXnuJNwTIZeotm1cvlmwbf7XTxuRXK7UjDhFGLethK0utPdV82udoLZi2uvj7PKlrSa0x9nw7zAcOhTOCAlPCLX2ejWrCDWh46WyHDpUlMPmHW5zmb22Uyq+Axfbd3prOSlXq9YlzqNHs3OKIwXGtNp1OB/NUY44216xMK14Pe7cXxXZwddY6LjT0YEYV0aBePZDvgPRDOM/H4RkB7cbeBRLMo6cZ28z58CxZZe/HRTqauNG1bZTwa6hWlbhq7/BtZgoeGHbegzCvYPDomHbeCE0oVVMW7e7anpFq4iG8M/J6pVjbQtovPcRadJtIcA26HS9i7a6QnVu/N1AeDfygx9+aIfsevB+12IK75KybUFVK8uY+6oVtuvFs3Wa4TznUSAM4hqOc6WIN4oRzovP/J9dz7ndA9VpZ75zu8S4HwmQwCgQoHgehavMNZLAkBHAh2UU/oIQxodmbHCd0UoKAlk3PzQ7KUz70ksvNUXDkAvd7ob+ptjgKA37hhDSX/zoO1LZ94iMTRRMGLMN37biOWwf5USwimLnUgcC0PVvtgW6wtDvaDi0C8mOhGprKyl3TBC6HbrAmt+Mkaen98mChQuDytZBITCvRZXmE8Ptxod7CGeEVudzY9YFj7Wt8t1fLVTmV/M2a4zlWNt1iynaNa45z16OtrrDQfh3rACYfSgQPgCwP1jViRZUEI/oH21CqQNR7Q5xJzfOM8Rzg9BsrXaNl5FjrDnRze9ZbT2le3mVv7xiYpVSRcYLVuQGc1cHOjjUushhOW47lm1cZf9Zve4ENyLxqzXTexzzhRO9eiUc6MNavs1molhYy0nFdlChCec5V6vJ/if3Be2nbIi269UcVNcO21OpeB5DeLbLbzbh2U48m7BthGyXi1I9WJLJDW+XOSt7G66N5eHBADZNj+mUCfcnARIggdlIgOJ5Nl5VrokEhpSAVszW6UNAX3HFFaYIGJxmFAHz85r9cG0ce9VVV5n91KGCeF62bNnI5T3jAQB6s6JnNT7U79r8HecO2yJhmtuc2L7KBJi6UONIZW51oLXydt4r1BXPa1YnWqtlh72ag9xn3+V1bvSevXtlwYLJIEwaFbWtyA9Dt4MezbWajI25sHOEQLsK3EZ7ehWvgyJikd9ZURgId1cgLOznbOdbNAK24KqDa/utaIsq6yx77aTqqmpbJV4ul4xr7Octq7AP3q6eUIbIhuud9Jr/9q5JPJzbi7/2U5yDg6yA9n3n4CVX3auMhwYFRF5A4LuwbT0qUjzMhXHnvXxqF7atYt58NS9rP2jcE1WpVm2kANZ4wZnzZPUKhHUnb/1qU5X2z+Zdd98re6anZCyPanUVmRgTGcPyXVEw4z7je1MozDrRYybP2YZsG/Fs/iFnXL8vS65ctOK5WJR5J71cjnh+fwqnIWR7yZIlsyYKJ+315fEkQAIkYP77WUMiFTcSIAESmGECcDnOPvts2bhxowm3xnb55ZcLCknBbd66datxkJNCs1Vgw33GhlxohG3DrUbLKnWv213izp07ZeXKle3uPjD7wfUqFovGKVLnHB+A8wemZdf2u4OCYWHfZW1d5YdweyLZaKO8VLWStu9ae26tFgFDyLa6saY4mLGqVTi74l4qdIOQbiu8sU1P75WFCxcFQlhDobV/M1ooYUwjmtUBj7jGYT/moIBXXEhrATNXlMx3zwNX2wlFiGfrPHvOuXtN86RdZbWIQeyL4nKpJPjPLIpnQUiGrnR420T+I+x+gHiO5Dw3u8vMGq2IhltszhXJafYM4sAZ1gG9/s2BO45WVa7Ps5fvbDSwOtSa2+x4BCLZXHIn0E0ot+ZJa/XtoBG0Cc2vQDjm8nLaC+fJS59nQ8Xj26CL5/t37JIdDz4sY/mqVMpFmTNnTPKmAFxJauWScZ0n8jkZy7niYIK2U6F4xvf5Wsn+DoXBtJczfo/fQTyXizK2YJUsevU7+vb3hvnOfUPNE5EACQwRAYrnIbpYnCoJzHYCKAykOctYa9xtTgrNvuiii+TUU081ghuCGeJax0Gucyf5zsp3mD40ahsdzB05l8i99Dc40LnyQbl/86ZABGvVbRWF1om2odzGmXaiOcxrts6itqPyW0lpwTCI2iAc2gln/Vl7O/vCWsWnEdwuJHr31LRMLlpsejhDQ9rz1KRUqhhRrlXBcWzQ9zkI0w77R5vzuoJgdg3Rlla2cneCk6wVs53ghlg37bsCd9kow2C8+LNn/1E0RDPaTSGk3A/PNlPRCxRTzf6PEO6otl23BTsl2spGnJfKJROij77LTtu6YTyH2HshqJjt9oIIt8I9GratCc9WRGPnUCTb4TTv2cuHDtpiuTBvkzetVcvgRlvxjl7Rx6wck9NeMLfOhUYxQDxUG7Rt+/2Pyf0P7JJ8vir5XE3yuYoRzHMKYyb8WouEwUWulg4Zx3kiLzLmnGeT86zCGeIZRcEQtm1CtpHnjAJhEM+HpHbgkCx761/2FcEw/R3sKxiejARIYKQJUDyP9OXn4klgsAnEw66TQrMhqM855xzzL6sNgrNQKJiw50HdEJoNtx7zhNMcF806b83hfvSXP5cn9k7bYlwQysh7Nh2htCiYikn8Pl5MzO6rbrIKTyuKrVANxKz2XXavBT2YI72d3f5OJBsxbHo975EFCyeD80C85nJjrnqzc8Td+KFLrH2gvXBtL+/ZVLX2wqqD/Ga/gnZMNKsbbcK2TcEwrYLtqogbAWtJ+oJZ20rVXB626YXspHJdiLZ5JZbwrBetJnKo5MRz4i7JwtlXyrUaiqiBXz4SdmvlrYpXo3jDtGV1no14hnvtcqQ9ARxqbiuCwyrbvtcdCmUV3HmXH20dai08ZtMIzP8Bbc4WQzt1Xd6IaC3aN2jO8y9/NSUQzmO5quTzEM34imJgCEWvCp5ZmMZv+NnlOlunuSLV4kEjjAtjIuM57fNc8kK2XWVtk+dclHy5KFI8KAtP+x0prOh9nrPegrOt5/2g/h3nvEiABIaPAMXz8F0zzpgERoIAhCGE8ZVXXhkJu4bTjNfgRMFhxj9U3M6yqM0gV5lFaDY+2ELY+71kG90UupbDJvKy9ec/kKoLqdWCYcZxdk4gvkeItl8UTIuEBW5z1eZMR9xnPwTbub6BaPb6O6uDa0S3X1jMtbvaM71XjjxyoUA0m1Za+TEnXDVHub7FlR8+bdxqJ8hD0WwFYkQ0e8W/jAx2czFiWPOrUdwLub/qwNZqnlCuBt+reEaFaohm00YqYOwsa3dxrA6O/i74MfbreNi2HhpeZ8ukUd6VSllUukYlcohXm2/tBHMkrDvqMOOeKQR9nsM2VWHLKs2DRoWwIDA71sJKC4WFx0cFNHSz7RseanknohGCXqnIuS+vyInPOEy+9KUvBakcM/nH757t07L1V1OSy9WMSLZusxXQ+LlaLkqhkJMxuMs5bUeFYmE2jxk5z8ZpFvRqLkqtfEjGc1UpYJyqdZlNdW3TlqponefSQVn48rdKYdmxfV36bOs60Fd4PBkJkMCsJkDxPKsvLxdHAsNLAG4ThLFfXRurgXC++eabzWsoBoZw7V60sBmkkEWEZmPdyGdOCs1udZV1LT/7ztc8V9l4Y2E4dqR1ldeeyglbiGFtGRW2oHIVtp0zq6LYd6HVVQ56KUeEs7rGOalWarJ33+Myf/7hJqdZC4CpmLXtq7yez0F/5rigjuY9W5PYhYEHotkKyOABgIrboD2WFZNGwI7DeQ4lKhxdMxUndstGNKMQ2FhQzdy3o8MQ7dBCVhc6Ufi6XxZjOc9NlXI8vzm4IUKH2fSUNmHoY7Y9VuAqq5jWg2wVcy1sZt1lb5/g52gRsMDBDtxo9bhdjrPnOAeZ0K7QWFjo2xPSxoquyeTh++XAvnvl4gufk+kDslbvGX39semDgn8QzlYsh4IZwnncc56rlZLMLeChD4S1rbAdFAfzxbPr6YxiYRDQudIh4zybsYx4Rv5zSfKlQzKxYIVMvur32p1uZvsN0t+/zBbFgUiABEggAwIUzxlA5BAkQALZEvBdZ/QY3bJli6Cy9gc/+MGeCOWk2f//7L0LsKxleef79HWt1Wvvdd83FDYKBq8gmIiCUZNRSAwawRnFCFTNJJODVp2cmYpm6pRTx3gmZ0wpTpWpHLEyUzkJYDSJoplcgTEowtYkaLirERA2sgH3ut9XX089t/d93q+/Xt29rr3WfrvcrNXd3/X5utv16///+T+98Mej9jPjWJ/h4eGW1ux21dcAtOee/iE89/STkqYtPc7ay6wzmyUUzI19ItuzgCaqzmZ+sqq8ZOfGx0WV9qOfdHkPvTQHGjJAk4oRyOsIqXgvAyura1Ao9lFIFy/HwO7UYNurjFZrk5jtErbN8dkAsKDf2qZ3WwiXY1J1mG3b3DfM56RKbx08NGuwlsrAYsY2jc1+RFbiShl6ToaGUc+zzHluguw06naKspGj7WNi1saka+wvpvFe2ZxRolUAzlDPtA8rM0FfPHjKKMV21rOxgmOytut/9n3QzrLteqa5Hj5sTO3cfh8I8isryzA4OAivu6BMdu6tdJm0eu88/C/z8NgP50hlVmt2LtOADKrMCMb0eN1Zt31YWJbU5GwO+5m92myVZ03YzlFIGAaKYb9zBeprqwTOeahBvl6FvtGjMPJz/7bd23tbnu+Fz79tObG40ViBWIFYgU1WIMLzJgsYV48ViBXY+gqg6vzlL3+ZwsNOnDhBo6quvPJK+rlTN7RHr9dLvJ3HgT3X2KvcqTW73bHYP4S/c8+dHA6mfc0yjsr1QosCraqs/2mt2pykHQSCad+zjIxixdmMrBK4Jms1wnMV7cS41yylQyPcLi+vEij39Q0Y+7Qqy82KcpDoLaDNNuhEYBjRt/Q+y3PMybJtB82qbjOd0rgoOjZvj6b0bLFnaz8v7zNh0ebGaWOrTijPetEsZJvjoDnPAu6CmLJGK7t22AfdlLYdvEjwWtahVq/RzGWCaMZY+h8FhlHYmIdj+3wQGEbCsu+jZl7nXma8sVVbLNo2LEwA2vI9/257ogHWymUabVUaKNFTeNxnTdTgZcf74dyz8uuOuGr3vrDPP3e6DM9PVeChHyx4dVkAmUGZFWcEaBcQ5kC6zrbtepnCwhCuydZNyrMkZmMfPI2qqtJ4KoXmXB37ndGyzSCN8FxfXYbM2jIMXPpeGDuf59zv5E2dLp20hezkccV9xQrECsQK9EIFIjz3wlWIxxArECsQVABHTN13333U14xjprbDlt2u5DsdmIPAMjc31zRqqt1xdvK87V/8wUPfgYX5WUBNDCFHYRaBmqzM+A/BOLBiMzhrarYLCnOPhYq0CxYzY6p03FS5WoMajpvCILBMzkEyYvTqahkq5RqUBgfZIq6KLynaMntaoVzDymyfcgDOOhbKH1uQsq1gq5ZsUZYJgwVosY85m8PAMlTIa6Q2+xFOBo4T2wiFYd6RYWQ+Lz25lNAwfA77rQvFPCeRM342X+pgR2khYgmgDu5yGBh+EVCjgDO0c2OPeYPOlcO6BGRdU7LdQJYZ2Y2i8sozWcJ1vrOEgWkfuIN6B92+7dnbt1WNzsDS8iL09fU7JZws31mG6HoNe8xzDqJx/XOOZulfq9uPf1KFUz+pkaKMV+G731t2dmxSmVOs2enwLL3OBMoNyGRqAJi03ZdNhecszXdGeK5QiBiCMoEzqc5l7nnGlHT8vbIKYz/7K7BWOgSTk5P0JRq2a2iAWifv+c0ss5tfHG7muOO6sQKxArECO1GBCM87UeW4j1iBWIGuKoC27Z2wZrY7qJ2wLrYbNdXuGDt5XhO3cfbzwtwM/OCRh2gclY6i0jFVrj9ZYFUh2anMqi5LD7HrfU7YtZvCxAgGa1Br4IxmhjK1ZRNoC2RXqw2Ym5+XxG2xSWsitwNxHUmVTNH2vc/aH63btcncWC+dK23mWQnEczVRRabk7EqFDoLmNOcQFrOOgpMp23zf9kbL/aQ124E2P6FPJ23bCOocVmZu8oVC2jX367dQoJvY2qvFNJ6sjsppTZLNAQp4nUQFxv2xXdt0P6vanJHuaYFlBmcTKCa70fFUzaFjyuiqUAdOcpifn4eDQwcJ7ulmFW1qi8bjrpP6jXZ/vESa5k2Z8WSxxocYjGkoG6nI+BzH5iH88n0EYlTL+XdSmSVJWwFaE7b5J9u3UWXOoJqcrUMxD3Q/qTzzSCr5R+ozw3O2vgY5HUlVW4NcdQ0OnP96GHz1z7nLrKF/+MBOQPROfO518rkVl4kViBWIFejFCkR47sWrEo8pViBWoCcqsJ1/RNpRU9ttj0RAX1lZgZGREarr9x95kKBEoZnnPKuyzJZnBWOvMocJ282hYQy7gToNGepnrtV53jGNyKI+Z5ntDH4/Ott5amoGRsfG3HI6V9kCOaviarmWnwnIdj3QTUnaKgPTNwEMzYZzKRwMj7FWg2q1woosgptAr4PmYPZzwpJtA8aUkKXx2cOy0KylcH3V46xmUbnT2ptpbhiTZIv3SfJx30NsV0gLDcN+aEy6xp5nDRbzdmrBaPVaaziY6YVGhdnNjQ7CxfwhtwRpx+fc+4y7mZmbhdGREemLDnuidcQV5cAhRDcYojHkLSMp4ATIBqCpbxmTsDEoHBVjhGfpZSZQVshGKNYkbVpeErbVvm3AGZfD+c74XUc+x8vlE7ZtC8+5epkCwrL1MuTrmKpdJsUZ5zn3Dx+G0bekz7RWiMb38+jo6LZ9wbidn3s98cEeDyJWIFYgVmATFYjwvInixVVjBWIF9ncFtmNcC1oiEZwRZBVmd6KKeC4Yvoa3+bk5+N5jj/CsZ2PTVvBlMGYoJdDFn9pH3MgwWLuRVL5vmNO2UcVsQKWGiiCqfKhgoh1Y5kTrTxPaxeDM25mcnIKx8YlwFJamZOs+zagpB+y2h1mOnRRnOmNWkl1qtvxu+5RZjW5Ao6bzkdEezHOds1m1gGtPdNjLrIFgfB1NYJhnannGkHoLu7YuiPCcx57nVHoOETgdolMAWnHbic5GfRZ7NV4zvbGdG3uiMZ1bg7+So6vM48TWDM+qMAc2bd2wYf9gVrQNJJNtTE9PwcT4uA8psz3RCRWa7zagVkNABqof9ly3AmhUmQmsSY02o6cUrEl99rOcWaFWpVrUZel7rtfWoL8vJ6pzzcOzUZsxGIzVZrZr58muvSYjqdZgYOQQjP7sBzr6OEB3Dn6O4Jx3DBPcKkt3L4/p66gwcaFYgViBWIFtrkCE520ucNx8rECswN6tgAX6g7EAACAASURBVLU7b+YsdsKa3e74XnjhBRrtpbd/+Pa3GZwN1CL8MixLj7OquXSfwRhzsR0Iu9AwWb4GUEP4FKW50WA4dyCuQG7nLpsRWIhtp6dmYGwUlWfZp4XslORtZj0P+NzX7IRiCfvyMrFvT+aFNAwMx01VK2UaN4XjnDgJvEbPIzzaZRVwLXw7E7YJCkv2OXPzc2jXdgydgGRVnu11TVeh+fybAdpYrE1Ctt+eX8daqRGeWZXlvmG02qMajXAWQrSOqjIwTbuUfmNRp13rs6Zqy+E6tA/c44LoBr4RnsfHJ6yDnJXtQOFmWNecMp5yha9l7G3OQL6QE+s2W7h13BQmZ3ulWcPAaNq5s3Zzoraxbwss85xnBmkKC1sPnsmmjaDMdm1UnBGi82jZrqLqvAbZ8gr0X/QOGHnJq9u9lYPnFaLRIbEVlm7cHt56oW2mq0LEhWMFYgViBXaoAhGed6jQcTexArECe7MCm7EwKjSjOrRbyd1a9eR5/PjHz8LJZ571oKyqscCqhoZxgJgHaqtIU4gXKtGoNFcQNDOQFXu2qtgOtCWFm/uQTX+yGwHFj03PzMHI8CgHhOloKgXsRN9zMH5KwsKYT+0sZgnsclCr9+ts2UZorlYJPzH1Wz3crGijHRdh0qi4iaAx3+rsg8aC9mdVtBNKc5pbG6+VrktJ38meZ7eAXtU0aFaYlmXUYm3v0u8eVD14M3ASJBP1MgjjkjVM55aALgfRru9ZE7d5J75epm4mIMwp03ZkVQuIxuR5tCjrOCtaTDZLqrXMitY+awvQdOQZ/kKHleishHtxw4IPAjM9zm5us53p7AGaoJl6mtXWzRZthWd8Lp9V5Zlh2SZso2U7T2Fh2OuMqjMGhK3A+Bv+NRQPnbPhD8mtsnRvh9tmwycVV4wViBWIFejBCkR47sGLEg8pViBWoHcqoDOSuzkitGYjOPf19cF29zN3elxpXwKcOHG/m+GMgGzHUmkPsut9Vmu1Cw1jVRJToUkFzBYERtmC7eFbkrs1MTsBxASwYhPH/U/PzFJgmIZ8aX+0wqaHct+nzWnWJDeKNVtt2uHoKbVtc6K02LMBg6Y49dsLw7I+LlOr0jgnC7ZJa7bvmw592l6NTs5+5qtme63tdZyfm4dCdhEauVEoDQw0X+JAgu4eoP0GNdyLERlv2O+cx4RxAWMXFCZqMNYD64fhXJksJ5Fb5dqJ3JabFbJ1xwLSrnVaVkqq0XgMc7OzMILwrMuQDTsEaA0Io58JBZqOjgAbIbpKqnIBx0llMfFdQ8I4PAyfI2u2s3Abm3ZiprMbRyX9zfVaGfoxaVvAGX9iQBiPpaoCQjPZtmsMzqg656trkKmsQv7oBXD4p6/s9K3cdjn8wgEzDjAgsFsFeTNfFrY9sLhArECsQKzAPqhAhOd9cBHjKcQKxApsXwU6/WNSZ6OWy2X6gxX/cO2lG/5BjQo4jr3R28lnnoOnTj7ngr4UVNmizeFf4XgqeUyVZsiS0qw276BPmizhPsxLVWoKJpM+6uScaLw/OTUNo2PjPJfZgnbC6q3rcl8zz69ipsTgKAPCwQzmBo1lqlUQ+DHcCUdBuVlXkrhtFGRUW6tVo0h7OzgDu4Xi5EgqBfnwVcBfFpjHzO8IPNXyFEyMIKyjIl6DucUMZPNjMJAG0S6t23UkJ15ytu85VIEZlwW8jTqN+0TbOqm6FqBpy2yNZhCtG4h2A6t8hFnzpnkLFqTT1GjvAqdrNDM9w19A2T5q8YLToShIq407FaCzQQo3gi40alAs5AAd+j59285x1uRt7m3m+c61QHF2qdqAKeVV6CtmSHXmxwWeZSQVgjMqztjjnK/hv1XIVldhebkML3vPf9yWjwq0YOOoK/wS79ChQx31RXf6ebctBxw3GisQKxArsAcqEOF5D1ykeIixArECu1eBNOi0R6PWbLRNYiAX/qHai7e0udWzcwvw4CNPSH+oD/Ty0Gx6n7H3tV4nezYAJlAXgn5ppx5Ln3TzuCrpSxYwt/3WDr4hA3Nz8zA4eIBnQAc90s2jqFgpVmi1oWACwAacVWlGKHVKsgrFCsKWbFHFJoBl5dmGgvFinnrDIDJH4/Qy0KVsSnfy9YEW7crqaTgwUHOvH1RJOaEcyMUwt5iF4sBhSpJufUvON1Z/s1CmrOgx2qrWrOiS8kwzntUfrb3TCtM6l5lVa6wPnj/Ov9ZZzn5UVTh2KuBmZ4V3HmynKKvKjNteWVmGoeEhhnmnUGPjshjPBZ653VqSvlsCtKrWrC4jQDdqOLsb3QccLBaMoiJgVvVZw8MEpmUcFYIyNKpQyDWgkG+IZVsAmvqbUWmWfmdVnGurkK+sQv/wBIy/8T3b/nFhR11huFirz6idnm2/7ScedxArECsQK7ANFYjwvA1FjZuMFYgV2D8VaJU+i2FiCNao5PaKNbtd1dNUpQcefgKmZ5YkPMzYrV2QWAbKlSolZ2eyechAzlm9OZSJ7dPud03m1vWD0DHsMbZjsdhu7eZINwCWl1cpnbtY7HOBZqQuq12ciNT3MSO4OZjV/mJJjOaeZgT+KpWGoVn0Ytdr7QFcUZdBl+dYoS1dYdKztRiyDWx7lmbZO1CYA5u1Kt04jqoCS0vTMHJgBQYGvCMA907QrhArFxbhZn5pEEoHxiCbFau5u+hioA68z/qky7w2LxE7t1lXykCliiOXCn7cVODD9iOkhK7d9lCxxkULeMxGUXYM7tK6Fb59xlmoRntbNtaAnByDgy4TLUtNzSbN29i41wdohn8aYUXr+/nOCL8NBOB8BvK5DPc0Ezj7Oc78mE/Yxj5nVJcRnhu1MvQVs5DP1SGfw37nGuQyNZesTeOoqNdZVecVKM+8AOOXXg0jx1/R7m27Zc/rZxkGwKVZumO/85aVOm4oViBWYB9XIMLzPr648dRiBWIFtqYCFjqxnxkhBsdM9Zo1u93ZpsHz7NwifPfBpxiIkRddorbMaMaxPzmBZjfH2Y+xUjs2Kc3U19ycru3GSamSbOY0W/hGAF9dLUO1Voe+gQEfGOZmOLsUMZeorfDsgZrDwhD2cU4zwjn28PpUaw/PbO9eR0FucF80Bom5lG4f18091qboDUArM+Fi6M02Cjc+S0pzeQEK2SUYHkp3KtB+RXm21xXPa36hDGuVAegvjdIcapdwHbwA0lVnOTq2YKeov1WZL+1oVeDUz4oKX2UuvEtKico17hnHRLl5ziZwjRVkC87pEI2Qu7y0RCDf19/n19F+aatErwfQ9jkHzxkKC6MxVRT8xeoyQI3nNedxVjQuE46l0mRtDgUL4Vn7nQsIz7k6BYXRv1oFso0QnCvTz8PEz7wTRs59Zbu37LY9n5bSHS3b21buuOFYgViBfVSBCM/76GLGU4kViBXYngrgH5V6w3EwvWrNbnf2rcLPEJ4nZ5edfbtSqVOCNs9ozpI9281wtonXCNvSF81Wbw3/CudC07qkAiOe8Oxkr1qHdm5UuZdWVuHgwSG2bbMALL3J0kcsI6YIk1WFlkZnb8/O8MgpZmnWgiWJ246y8mqz6VkWqMZ1aN6ypHC70VRqB5eC67grT9Jy0IbNFbJXlmegmFuCwYGcgK/0ZycuXqA8N2zvMi+ISeBz82Wo1AahNDiWAtDJdSxMK71yg7HrWM7gFyZoY8brrn3UicRs7Wpu1U6Njze4Xxu3zHZubWQ2SdyyXxcaZhzkqkTPL8zDYKkEhWKBg8B0nzSfWZTklCAxP8qK94uznuknutozWZn9zDOeeXazjqJitTmDSnQd7foNKBazBNfa36xp2xaeMWm7hDOec1UoIFjnsN8Ze5xxJJX8q5WhUFuG6swpOPS6X9pVcLYvNfwicG5ujl6LqEgfO3as3cdIfD5WIFYgVuCMrkCE5zP68seTjxWIFeikAqg2Y9jWXlOak+fWSll64qnT8PhTU9TPjNCcy2FydvOIKk3eZvAVy7VCs1OdFbT98wSXpGj7vmWGYg/OzL6sXE9haNjoeKAuE/66HucGh4IJPHO4WQ3qtRqxcAYpCYGJ6drMemb4toFd2jPNmzL90wLb5TLbmNWHbXRqNyPaNzYT1nqVmndPN+zl7i/MwPDBIoFK6qgqI2MrPCcd36xq+yuLwIMQXcscbrJ+CxnTwmnGba9YC9xmMlCtiG3bJXH5fQUju/RhY6F2SzqwbkBNIBoTzfG62DFTcmA6NMuEfzEcz87OkcODrNYSNtYE0KqgO0WaL70bY9XU/+zt21Z9zqMSbWY6IyRnMtgTXQYU9/sKGTfTOYf27EB5XoOBPrRto+pcgwLatsmqLbOcya69CsXqEsy88Dxc9IH/s5OPnR1dBiEaA+v2SgvKjhYn7ixWIFYgVsBUIMJzfDnECsQKnBEVeP755+Ghhx6Co0ePwoUXXtjVOe+XIB38EgADg2wvrQae3f/wFIWAUTeojI6iGc6u91lTssMEbpfMbe3aDoxFjU6Cs1OoJZAM15VRVgjQ0zMzMDIySjOWGTIFekVFRtVVARKBuVZnaM7KzF8N9yKDtrFmo+XZ+7etmq3qr6Zn8/ZxaYTJPH2ZoN7rUAlngFeXNs+O1sfw58ryClQrkzAxmvdKc2IZ2UTwmkT7tLtOTQTtZV99SkPFMjlM5tb+6YQ83BS4zf3DaslGREWru86XtrDs4DshaCeB2t33bdQuOZzs3HlWot3cZuP7duqytGPrjGelary8dt4z8T2Bdbg9HWXF/c28Md6ngjWmb3NyOFqzEaI1KIz7nH3CNinNGUxwL0M+U4cihYthMBjPc0bAzkIF+osACNXFbBVymSrkG2XIIXhjr3NtBYq1JVhbXIQL3vXBrj57dmph/GzY7Vn0O3WucT+xArECsQKbqUCE581UL64bKxArsCcqcPPNN8Ptt98OR44cgRdeeAFuuOEGuP7667s69v3QD4ghZ3hDBV2hGVVQBOqTpxbhX56cgjpkxS6NKrCOpjJ9zDIPWnub3XxoAmCaGMXrO+ValGjZFluxWXFGY69L1BZgR/qcnJqCsdFRN0aK1GJRkeviucbHMNwKwQlDpBCOmI09+AZKMq3vPNzhtu04K0nZVgAuV8pQyBcFps1oKqdSKysbq7b0NVfXTsPBUt3b/G1/tX31ORUdg8IasLBYhfmFGowM52HooCRfm+RuXrXZyo2Prq2VKZk7WzgE/f3aT62J2bpTMyjZatLWti2LBntxwdg+gTt5GAFw24ZoEsxZiV4Pom1P9OzcLIyOjvjxVgLPasN2lm+BZJfGncXXhFTJJHATMBtVGvdFlm0TEKZBYTyeCnuidfYzhoBh30EZcvka9BWyUMjhu6BCP4sFTHHH1O0a9TqjZRtHUuXqq1CsrUBlYRYueOf/1tVnzk4uvB8+33ayXnFfsQKxAmduBSI8n7nXPp55rMAZUYETJ07AJz/5Sfjc5z5HqvOtt94Kt9xyC/3E+53e9sMfl2gFxvNA9Q9t6EkV+i+/9ngCnBmkyaLtZj6LWqzhX0127TBNW2dHu9AwCf9iC7jpd1Zht95geB4bdYouKtCEviIpoxqMvc0YqKWKKD1Hs55t7zLfZ/BWdVng2qVti8Ts1vPP4yqVShny+aLrufYqc2LGs6jcCPTLizOUoE0ztY0UnVSlrf16dbUOi0tVWFjErxRUyUawy8ChQ0Xo78dgsNbQnHwORzzNzJfgwMFDlMxtIZch089m5s0ybWKYGdnULZ6ncLp7yCZfu2RuOZpEUJgeQyOThOismx/tleUMeHjWw+NRXC4xW88h0QPtn0/Yt0V9dr3PAtNWaSbl2SRrc68zA3Y+w2FgOO8ZIRot2pi43V/MQjFfg0Iek7ar0uvMydrY5zz16Al4+VW/DiPnXNDpx82OL7cfPt92vGhxh7ECsQJnZAUiPJ+Rlz2edKzA/q3AnXfeSXD8kY98BC666CKC5AcffBBuuukmd9I33ngjnHfeebRMp7e9PsZFlWb8ee6556ae9g+enIbvPz4rirOCs46iwuAwVpe199nbu0WhDmA4ESCmijNmGifAWWGRILnRgOnZGRgZHnY9z/gLPoWWYoTmfDZHaqRasllUVnBWqJW+aLF9M/SybduHkHlwtvZwn8wN4JVn3yvtgsNMkFm5UoFqeYHCwIYP+gRtu6yFZRWh5xdrsLBQJcU52K6xauOypVIORkYKUCwkZznbSxlSLtZqfqECa5US9JfGjG3cpHPZIC61qbtRVbptH/jloLrJAh6mZqsKzFzuF7bhYU0QLSqxLj89PQ0T4+M809mp3hagzegsC9BJm3YL9ZmVaB5NRdZtmd3s4RkfQ0AO4Rkf457nKtTRkp1vkG27r1CHQqYKOTOSaubRb8IrfunXehqcW43j6/SzMS4XKxArECtwJlUgwvOZdLXjucYK7NMKYD/zXXfdBXfccQedIdqyr7jiCvodYfqzn/0s3HbbbdTTp4996lOf6kp9tpbnvVRGPG4cS4NKM4YBtUrcxnOanF6Be+5/DhqNEJzrcp97oFUxVjgWW7YFa+qblpnOQQo3hoaFjzM4C5jWadgTzExjz/OIC/BCNZegGUc3CXVqYjYBJ4EzW7aVldneLVdKtk9bV3e1hWqXxM3LN8x2UInN5zEwzEM5LWOStFeWpqEv7xO0ddOucdpBNq9XqzVgbr4GS0s110vtHN1GCNf1rWKNED06VoR8Ps223fwYPuIhehAGD0wI5SqNhq9mmvOM5+tuJuXaC9RmWHPQNk1r+TZqb5PWzQXjq+QQLETTjGnxXGMK9MjoCGQ1UVu+N8hgs7Io0IGFm3qYZQ60jKXiPmkfIqe9zwrOuC8HzoFNm0PBUGXOKzzT7wzOPNMZU7kxLCwD2cYa5HMV6MvUoAgVyNeWYfbhe+CVv/TvehqcsY74+YA3/XzcS59v8VhjBWIFYgV2ugIRnne64nF/sQKxAltegQ9/+MPw+OOPw4c+9CEHzboTBGvsb0aVWYEan7vuuuvgyiuv7Kr3eS9ZGxGa8R+O1bIJuqigHz58uOU1uOefnoefTK2Bzl924OxCvxieWXUO7dw+XExHTMlyYvv2Pc5sBWdQZbWZXddMjjMz0zA8NMJKcwPTv3MEZGq/Jrh1ydtmDBVq5rgdZ9Nm4HW9zwaKNYXb2rD1eFihZk7HtO1iIe97pI2leh4TtPPTPkGbVvKkbPictre8XIel5RqsrslCASirMp4YEZ3YiN4dGy8G/dD+gqZJwvwsJnPPz1dgrTrRDEpCvFXs8S4UZXPpgM0zonkRPyra9FUnVzOzmfU4myCaRmM3oF6rAsJxNpel1+/o6CiPmUoDaNMDzeOp1NItIWKux5nhOex3xoA5tIuHfc9Wfbbw7NVmtm4TROdqAPVVKPVn2LadrUC2ugKZ8iIsPfZNKI0dgUve9x+3/PNuqze41101W12PuL1YgViBWIH1KhDhOb4+YgViBfZ8BdCWjQCtfcwIzKimnH/++XRuH/vYx+CJJ54g9Vlv+BgqLd1Yt9dTbXuliJiai9CBwJw2WqvdH8qnp1fh7m//hBiwPThnabQUjaEiEJTU7EQvc6hYs1LNwKzgrBZrhuiFhXnIZXPQR4FXsqwbO4XLCnUaNVjVawVftWmzMk0DpIKByrScz/gyI6xk1JTIvajEouIdKM3Ly1CrTMKh0TxBngdmTfAWoBeOXliowfIKzj5mqvcqs+2b9n3OTSq0Qrnq1HJsqJ6ilduGirnm5vQ8Mdo/Wvdn53MAuXEoDQwEL91arQo5TMS2j5pZ0Onb90nWlqiNW9up0S5pW8dn2RAy5yZvQKVchrVymfry1erdCqBRfVZFmS3eel9t2WHvMy0vyzFAA9uzNTxM7NsWnllxrlGiNv6kYDCa57wGA/0ARQwLA07Wnn/oazAwPA5nveX99B7sdUV3L30p2Cufs/E4YgViBc7cCkR4PnOvfTzzWIE9WQHsV77mmmuaFGZUkjEADMEZE7Xxhj3PCNV4Q/X5gx/8IK2LN3wc+57xsU5vvfxHJkJzuVyGsbExn+6ccmKd2M8Rnp+fKrvwMJ7PHCrOTVZuWUb7op06DRmoifIsvMqh15JqjX3OCsMaBIbngTJhf3+/n68sSrOmbbPTWsLB1JatPc1CuqpOS9yYHynlONrMdXbriOostauU2baN+8Lfq2s/gaHBGhT7+ph2NejMusTxi4capmbXYWmFTt4p107xFiBmJTkdouX0rPvb/K47xNFJGZiYsKFifPDr8LOD6Jn5HCVzo0MBbzrnWV86AQDrBpMwnSBtHQmlc6bbQrQs4PqhMwCrqytkwc7mcpDLZTnELKFAs3qND3K6tkvqFvu2znr2o6tYaeY+Z16eR1bh+mrTljFVNIoKf8eeZ1Gaya5tZjlnMWm7Cv1FHFHFM50XHrwDBkcn4JL3/gcqIX6JNzk5SRDdqzOUe/lzrdPP5rhcrECsQKzATlUgwvNOVTruJ1YgVmDTFcBxUzh2CqHYBoDhhjUo7PLLL4e3v/3tgLOZMWUbYRn/aco2/o6AjWq1JnB3emA4dxZ7hylFuUdunUKzHm4nM6vRtv2/vjXJirKFYqcoyzgr7YEOwFkgWx8j1VfhG8O61BLNv1MQWKVMv6M9G2/YZ7y6ugqDg4MCvNbWLWq1QqeK0DLD2fVPuz5nT7fevs3VoGXNdtQX7pzSDT4WvL+yOAUjB5ZhQK89qdYm2VtU5pXVBiyv1KFctqndPmwsgH7aN/9H1eZQddZjD0K7fe6Yf5oWKA3mYLRtqJh54Qr04mtieq4EgwcPQQN7yyVt277EDTd78dmqxrSwDRazajQ/bidXucVpzBgZwWV1ImSYn5+H0uAAFAsFwPnc1PNeYKWfFGgJEVOAZgAWO7m1bysgB4+x2uzBmUPDWGm28Mz9zfgYKc2kOPPv2O+MqnN/XwP6C1UoNMqw+ODfQXlhCl73vv8Aoy9m14t93+F7FZPuDx06FMxa382Pkk4+D3bz+OK+YwViBWIFeq0CEZ577YrE44kViBVIrQAqOKgWY98yAjTCM0K0vSEU2/FTaM1eWlpyoI2AjdCMyyBgdzOqCvfTK6m0mpyNx9ROaU4rZru+Z1znrhOT8NxkJRhRxX3J64MzKs8IyxCMtmLrtZ/RzOBaqWDgEsIKk5DauJGDZ2dmYGRo2PUsM3NzQ7OFW4ZlBXJvubZg7BVc6ZU2fdDaby0I61Rg3CSCc62yCIXMPAwP9TXtV2uLyjoCM/YyU2q2JnxpEJruT04hqTbrfXo6AcS6j/RAMX42meiNoWJjGCqWW0d7TvQlI5zOLZRhtTII/QOjZJsPpGsrHxtVW8PBfA+0SfKWJ1sp0X5dVoPxpj/n5ufg4NBB+kKF88Mw9V0gOp/j43MAzSFhbMeWEVwEx4jZoiyrnVsSxBCc+WWXJYi28KzArOFgCs0IzPhcIc/znDP1FRgsZaAvW4alh/4WyvNT8NPv/Y0mcLbvQf0M0fcuwvRu3tq1cezmscV9xwrECsQK9GIFIjz34lWJxxQrECuwbgUQoo8cOdK2XxmXQ/Xy4x//+JZVdDctjgrNCBTYC6pW225PrpNzePAHi/DA9xeDcLBmcMbxVTY9m8GZZ0Mj7PDvxLymvxmhuV6rQS5f4CAwicC2fcuz0zMwPMLjqnS+M/co+4Axb8tW+7aZ4azErPZuesrDs4NmBW8FWwkVW1magb7cIvT11aFYYEuzJnxrvas1IFv2ClqzTZCYuMdTFGUBaxcUZiziifAwp1AHwK2wrIq13G8RKjY+luyHNq+UFK7G2mKoGM6aXimX4AAmcysA66pOgvYbSD7kwrtoZVWjQyVal2Es5uQxhFj+NQPo8qCwMEnYpqdEpaZgsQZaqNnSzencar8W9TnNui1ArfvCY9DQMLZms8qsvc4FVKFNOBjCdFHAGeE521iG/vLzUDn5XSjPT8JPv/d/h7GE4tzqvdkrEN3JZ0G3ny9x+ViBWIFYgf1cgQjP+/nqxnOLFdinFUAFOW3UlPY7Y88zLoP3UaHuVmFer2y78cfmVkGznlen5/BHX33BpWorOJOyjPZt8HOfcbQVK86Svk3gjAo1EyU7qutQq9UpNEuVZmdZRjXZ2q8bPK6K4DmRyM3srGnbpnda9uHakJv6njWgTIBT7eMOThls5+dmJUG7QP22dQz5kvFH6pdGhXmJAsBU8eaNKDQHdu5AfZYroHZxBW6nNoc91Hq9WFln9d5D+jrgbOzkCKSjwwUYGmJLvL+F9ExfYoiyi6purV6D2fkyLK+NwvDQsFehLUy3AOlAjXb90SkQrTZrM95KR03hjGfsESYlGgFaf5hRVAzRNcijEo2WfwRwVZ9bWrc1YZtDw1rBs6ZpE1TnMEkb91ODoli2+/IVaMz+CGo/uAMgl4ef/jcIzud1/YlrIXozX4h1vWNZodPPgo1uP64XKxArECuw3yoQ4Xm/XdF4PrECZ0gFMCAMbds2LVvHUqEqjc9hSNhWgjOWFvsWMT13o6pvN5dHoVlnNHez7lZ8AfDP31uC735vKcWqnQbOPLqKFWcDznUgEKtVawwqGXzOy6zY66y2a1KxWWqGyakpGBsbdQCuIM7qr9qz7Sgqk8KtQCyWbgvg9JQdkyVwvry8AvXKaZgY5TFJInBTry1ZhhsZWCFoTgZ8pUCzDTOTY2HoTcBvalCY2b6eh9tGIljMkrQJLHOQrS+CBkB/fxZQiS4WRcpNeYGoyk9fbsgNx4VNzQBAdgwGSpjMLbZo5842903Ps3laRkThBtlejTeXjo2wSw/4+dD4Gpmbm4HR0TFelqzWMq9ZFGabwI2OArxOmBKey6PNO6E+25AwN54qHZ5pVBUCsp3nnGWbNv3LV6EvX4Xc0kmoPPpXAPkCjJ37cviZq399U29PhOjTp09Tawgq7juR0I2fL9gO06tBZpsqaFw5ViBWIFZgmyoQ4XmbChs3GysQK7C9FdCAMITnEydOdJWavZkj2n+atAAAIABJREFU24mAne2CZj3vboLP/vuXJ13Sdq2V4kyPIzhnxaqtM3vrUK5UCGZyOO4pYbv246o0gFvHRzVganISRsfG3Bgo7W1WeFZbc6BuK/GSlVyUVNdELNZqB85MpDjHGRO0Dw6Woa/Y52FdnNGVChA0r5VFmyUSD5O+HcMaGPZO6oSabFRnux3LwU2PO3hOhJQlwsb8NtKDxnBtDBXD8VbFggdkhVf+ogDHNiVVah1vhfIvQjQH5mnIl9Cwg2C9L0xsxlRpT7MnZeZ0E/QlK83NzRFEul7oFgCtEI4qMinREiyGlm5kdVSyNXWbepwJpEV9TlGeEZqzGAomc5ypxxl7nXNs2Sbb9vIzUP3eX0Iml4excy/YNDgnP4903NzERMo87s18eCXW3ckvArfwsOOmYgViBWIFdrUCEZ53tfxx57ECsQIbrcAdd9xBlmxVmXHk1E6oNXi822V1xDFS+Aftdo+16eYLgO88tgz3P7oKDM5o2c4ymKpVOwWcEWAq1SpkGpignWdLdhM4e+u19i57IG5QHcZQeeQWZwYjap7GK6Draq+z7YXGFG+mTRcyJtvQ8Vi4GQwDW16cguEDi1AaKJmxV8zra2WA5VWAWo23tZ4lO5gtLQRrQ810vlRLoKY3QVritleag1AxB9MmnMyGksnzmlvmks58uDdB9OHDxWCgFYa34RcdGovt07G9xXtldQUmZ/qgNDgGhTyOj5J+Y0PKSai2EI2QyyqzqtDaC23VZYDZuVm+/jqCiiO5dTIVWemp1RnDvkiNFoWau+i5Jxrt3PmcjKTCYDCd9xzCsw8MwxRtGUuFPyUgjGY4o2U7X4H8D78CjcXnAHI5GDv+U3DpNZtTnNf7/ENVGD8TtmtW9HZ9jm30Mz2uFysQKxArsBcqEOF5L1yleIyxArECQQVw7BTC8w033NA073knSrXVf3QiKCLQjoyM0B/KO3HrJHFbj+Ozfzbjwr/Ilt0CnHGkEEIp3lD504CtJnCWxGz3vNi4ERVVYZ6enHbKM/e2Gqu3Li9QzeKyrCu9zBwyJiqx2X6lXIbK2gIUcgswPFTwydj1Bs2jXkWleZWTnRXcQ3gWW3WKNTuA6IRFOw2whbP5MBMqst53SeGmj9nHfidHWNmobp2C5RDa7IdLg9A4MpKDoSFOfMbrR6FdJs3LdkZbmJ6eXYXV8gAMYDK39BszJHvI9RCtY6isNVtUaJOyzbtlmJ6bnYWR0RGy+tN26XEzosrYt1lZFlu3qsqY3o52boJob+fW8VSZLMM0bh8fI6t2Bq3fPJ6qkEW1mVVnUpsRnh//MmSWEZzzUBw9Cm/5wG/syMip7YLorf4c24nPrbiPWIFYgViB3a5AhOfdvgJx/7ECsQJdVwD/mNwplTnt4LZqvIvOaMZz2Slo1vPpBp7/8dFV+MdH1jgorM6BYXXpa0arNrp9UWnGG1t+WRHlHmhHsAzGbs6zV5Td/GVcjxqfAXBU0UB/ifpY/Xxmk2ptFGlWlFHdZk+17ILHTsn+8VhWlqegmF2EUilLx4lwhbdyGY8fYK1ijskfdjC+yo+9MqpwAMpepW5Wk/1caNfDLfuxy+r5aECZA28D2R6qjY3cbSsxvkouun6fYJCbfkUr8/h4AUr9QCFpwYiqIDHb5IZlGLbn5suwUh6AkoNoRWiFaNsjLWnazMjyzydyqwUbX0urqyswPDTEyrKCs+l/1vRthn0dU6WQzUBM+8hmqOcea9jXV3Tp3AE85zKmxxnhWcFZepxXnobik18itRnr0ygU4CWXvwte+drXd/3ZtZkVFKK3IgOhV8bubaYecd1YgViBWIHdqECE592oetxnrECswJ6uAFop8bZR4FVo3siM5q0q3KlTp+Css87qeHO/98V5A84coFWrZaBSqREFofqo8OrBWZXQpCoswIdhYUKBqBAyATPArqwsEwT39/U7VZnYkCK9ybgtyyqs8vxnB4hkLef9Y/9sX34Shg9wgrYuU640aDYzQqAK286erenfGmJmkrG9JdsEgAX9zlYl5xI7a3oaAJtEbgfOCu+GkpvVaH/CekyyN18HvcKu9domi+nSXNO+vgxMjBehWLQjpqyz24CueeVgnWdnV2EJk7mHh9zoKRcuRg5tmwjmHNiiGIcAXS6XSTEulQYY3SXwaz31mVO2NVyMx16RBV37mjM4Pq1GQF0oFuj1SmnbOVagOV1bkrUpHIxDwvpXnoK+p74EGfxSAWcy5wvwhqt/FSqZIhw7dqzj989WLqgQjeeAnyEbmRWN28Dbbn4JuZU1iduKFYgViBXYqQpEeN6pSsf9xArECuyrCnRredRkWwSD3YRmvQjdHv+3Hy7Dtx4q0xxnUprLCM2oxLEy3A04c6K2V0eT4IzPr66u0czhgYF+sXJ7sPap1Tp+yqrNAs0C4NWyJGgjIcnM6LVyAxCcfR+zgVvp4XaW8qSlWq3iArdheBg/6BzjQbCYo+EmS7jC9Xq90W4/fjOOysPe5g5V59DhHYjRpVIORkfyUCyEwEs7dD5u0xstLypUM6dmGpDJjcHAAIMv2bCdlTtUoTWRmy3XHqCxhaGvvw+KxQLvkpRl7pHW8C9Wm/E+9y8H1m20YuvcaAPP3NuMSnSdIbqvAPlcFgVlgWdO2SZwztdh6OQXILfyYwFnJOwivPHqfwcTZx3fttyDbj4k7Qi7biF6q9wz3RxvXDZWIFYgVmA/VCDC8364ivEcYgViBXa8Ap0qt/gHLiqfCIK9AM1aqI388fzp2xahUsGwrixk89wvzOCMW/UBYKjk0k1HRbk+ZB1FxYCn/c0M0r4/GfuV69UaLC4tkrpPMFoP1WZWqFm5TqrN2HddWXsBDpYqUCz20YZxvjQCc622nsrs7eY8nkqg2hxbEAS2Trp2cw+zWrZt+rZNxfaWbi2GVZObrdut7NomFcwq8fYdojbz4DG943ukDxzIwaFxDBWTm50pZSFa4Fgfwi+IZuYyBNGlgQEBboz10mlVoaWb1WXfAz0/Pw8Hhw6yOqyLtlKfJTgsBGixbeM6KfCMlu1MDl0MNcDf+4pZKKLqTP3ONSiVfwQHpu+D3MozBM6ZfA4a+SJcdvW/hYmzzqFxUvie7pURT3ZWdKcQ3e2XZzv+ARt3GCsQKxAr0KMViPDcoxcmHlasQKxAb1eg3R+fqgrhWfQSNGtVu7Ge67k8+HgRHn6qJHOfmcy4p3lrwBmh2fY3T09Pw+gIJ26va9MWkK6WK7C0NAnDg0tQKpVoW2grR3DG41Rbt0Kx7c1GGzrDOEOzuqWb1Wn5UkCB2vz0vds+VIy/QzBfJsjygWItXzToU8leZ7+6Cf9SVdut5L+AUBk5tHLzlbcQzg+0ep9xTzcqtaPDeQoVs+FhnmotWftgMFx4bWUVJmf7oVQahUKBk7lJe7Y2bpnzbAF6emYGxsbGXTq2znhOqs/cN42AzP+cdduNohJ4NvezOXyM4Rp/p57pepmStQf6MjA6dw+Upu/FE4cMzvsWcL7gDW+HV7zujXSyaHnGoDF8jfXSrRuIbvf51UvnFY8lViBWIFaglyoQ4bmXrkY8lliBWIE9U4FWs5K3e0bzVhWok8CgtHP55C2rFBiWBs5hqrYPB6MMMGPVblac2Xbtw8SYdBGiRoZHjc3Z28N9KBhayCtQXpuDQhYTtIu0r2qlCpWq6YN2AWMeop167fqbeV619l1rH3TqfdcDLWFlno+dXC0d0Q7GQ0u3VZ3TgNwHkgn2hn3MxhIeQndiu/qCSVObk+BtX1wJLzhC5vhYAVCNbgvRAsS4OQTcmdk1TuYuYTI3QngLgBYnOH5pMj4x4RK2xbGd2vtM1m0EXbFps4Kto6hC5TnXBM5ZAmi0aQ+uPQFDM3dDf/lZyOSzmHxHc5zr+SKMH385vPmqf+2qg5kFw8PDG+o13qr373rbwff26dOnSSE/fPgw9PWh+8LfuhlVtxPHG/cRKxArECuwlyoQ4XkvXa14rLECsQI9U4EkfO4VaLYFbKU+raea3/tAFe59oCajo8ys5mCOc+fgzCDtk7K98qzwPOLTriVgTNVghNrFhdPQV1iCwQG0BaM9uwY4Z1oV5DTlWJVcTQIn1dkGgpmwMAfOxgLtVWoJKGvqbdbHTaCYtZeLAmx7o4N+Zw1Ds3DrFuYHk6qyCxOTC+ys7HTfWMIdTIdvpVCAbg4V06X7+7MwPsahYutDtPQoE0GjOaEBs/NlWCOIHufxVmkKNI6pmpuFUZrxjMqwH19Fvc8Cyjq2yvY9k/KMYeFp8IzjqFChpoAwCRTLZSGfa8DE/N/D8Nw3vNqM+8jnoJ7vh/HjL4O3GHDG09krqq1+RiEsT0xMuHCwjbRs9MwHbzyQWIFYgViBXa5AhOddvgBx97ECsQJ7twL4RzSm1aIShb25vdID2WlFk33bCM3Wzp1UrHS7n/j/Vl2/MoOvhlQpCPMIqHaKcxo427Tr6ekZGBkZFuU2VJEpQTs3CQdKOQqOqlWrLlgMwZmQ0ajByQAw3rdfzlu5NTwssb5LzMZzReU9LUHbh5U5BdsBsO+1VsXbcawB407GUlkFm88z4b227GueSwaL2deJquStbdzhq4pDxQptIJqlZG2Vxq838IuN2blVWC6PwfDQsAFoGTkF+KXJNExMjMvMZ7Flp/U+S08zwjKPpmLYJiVaAFl7nnmeM6dr4/OoQg9Wn4bx+bthoPyUB2eEekxkz/fD8IuOw4WX/XxTovVegWd7xdAps7KyQp9T+B7fraTwTj+b4nKxArECsQK9WoEIz716ZeJxxQrECvR8BZ555hnqe9xr0KyFRejHY9dQMwQM/OO6FTTret/85wrc892KD9QS8mSQ3iQ4m2CwmekZGB5B5bnOE5kbAEuLS1CvTMLYUAOyUIdatSKqsYBwEpoVdC38+klSKaFgiZCwYD1UqHVEloFoBVi7XTleVrRTwsCUZFNHXCm4J63dvNFAdba9z2af7s2ThOfUHmcJXcMStuyBDt+OuBgujlZu7IfGm88QU9KVR42Nm8ZHAUC1WoGpWQTdMRgYHCR7t4L2zPQUjB8ahwxJ0wLEkhymkOx7nbnvWRXpJDzT8qQ6ow2bl0Or9vHpP4L+8tPc10zLcH8zZNGq3QcTx8+Hn7vqGrI+o40cbxrGtRfhWa8e9mvPzMzA2Wef3fOfr/EAYwViBWIFerECEZ578arEY4oViBXYExVA+ETluR1s9urJoH0TwRnnxHYbavY7/2PZjX7iVG2Umlkdpn5ksWKnpWq3VJwTidpY37HRUdoeJmivLT8HQ/2rUMjirsQyLsVV67UL+kqAJPNrWoK2V5ptSJgNFwseT6jZLpU7gOXWoWI6UJoBWEBY17UKNJ1Xwm7t9p0wWVtJOc1xLbTdUnlOAniXL1gKFRtpESqGtmu6YV+y/Ca/4N218hrMLuQgkxuHgRImc2dgbhYDw0Z5fBWCt4aCSU+0s26T2syznZPwrNZsB8wSEHZ46R6YWGKLNvY1u2AwUpwLUM8V4dDx8+Dnrro6qIKFaHwCe4n34k1H5u3VL/z2Ys3jMccKxArsrwpEeN5f1zOeTaxArECXFbjzzjvh9ttvpwTda665hv51etvLwTsIpmjfxD+iUW3u9obK89fvLwvfYRy26X/eAnDG8DCyZvf3weL8PAzmF6C/kDVKMVunC4Vlb6O2AJuAWQbH1r3NrXqjnf06qVa77Xsgp4eS463kQasWOzFYv3SwyyTHSyUAmxf18Ox/NSOw9GIaxnaY3kJZbuqR7vYFAQD5fAYmJgow0G9CxahRWTaGvcjyqyrQauleXVuDqdl+6CuNQnl1FYZHhjkJe4vg+ejqPXBoGaEZ1WWGZgoFw/to084VoEHg/FL4+ave3fLs8T2D7x10nHQ6FmoDpdy2Vfb6F37bVpi44ViBWIFYgQ4rEOG5w0LFxWIFYgX2XwUQmm+55Ra44YYbYGlpCb785S/De97zHrj++us7Ptm9ZuHEP55xDi/+4Y+zp/H3EbRGb+D2f//BEqunGOSlwV+SrK1W5To2RLsxUc3hYKxYJ0ZR1XHEVBmWFuYhW52HoQFjl6bxSRXIZqt+nFQCZOWuiryynOlvlnN1oLtOb3Rr1TncXhK+LUjr74GSbGA8eN7Cs7F0Ox5uBc5J6NYieKP3+pbs1IywgL6NL3v9F0uplIexkTz1Q9MtBaDZhc3PM0Czijw1uwxLK/0wPHIE8nmc82ys26g00/XnnmZWpBPKswSG6RiqY2vfhCMr9wgwCziT4qy/5x04V/tK8LarfhmOHj3S8gQVPjHwDBOt8Xbo0KGeTd5Onshe+7zawMdSXCVWIFYgVmBbKxDheVvLGzceKxAr0MsVuO666+DKK690sIwwffPNN8Ott94KR48e7ejQ98ofoxaarc18M8f/jfvL8PX713jEFIrP64AzP+9HTSlsp4FzdWUBMuUVqNdrouQyxGUzVcjlKrwfgUO1V+MDxeKKDwlTi7YFZVrHjKPSFl89dt1mUj1uUp0lMCxNaXbLqsodWq+96mznMpse5+DcEj3PSvLmuN1M56SinNILbV/QweIt+5y1s9kUO4jYXuctkgEYLOVgfLRAirQHaB8iRvDr4Jl7l9FWjEC8vApQrg7CwCAnc/te5xCWLTxzfzPAUP0ZGG6chKOr3/QqM8Zwk9qMP1FtzkIjl4dGtkDjqGqFAXj7O9+1Ljjj2WKrg7Vs4/HiY/ie2gtW7s283zv6QIwLxQrECsQK7PMKRHje5xc4nl6sQKwAwPPPPw8PPfQQPPjggwTLF154IZXlxhtvhMsvvzxQmhGoL7roIvjIRz7SUel6fexLK2jWk9vsH9O//dl52pSb0ywATRFfmPIlINoWnGtVqK8tQ315zgWAqT3ZK8RoPmabNOFcg1XoXA6Ttj2M4rH0FVd5GRsgZoGbnhXLtYFgqzQ3j6lK6Zm267p94XKJNG+zbz0wHS/VBNTWmu34OZSGdV23rVQybh5ppYu17H92VeP6hHK1uW+5uumdIooy/WhwqNjBfCpAh/btDKysLpNVH1Xner0B8/NrsFKdoLnKrDbjNfc9zhaeEZhfXLkXDtZPEig3OGobadtAM4eCMTjnoSbgfOU7r2oLzng2SXjWU98Lo+o6me3e0YdeXChWIFYgVuAMrkCE5zP44sdTjxU4EyrwxBNPwMc+9jGnJCNAo00brdmf+tSnCKhvu+02VwrsgcbHO1Wf7WinXqpnO2jWY90sPH/9n9bg7n9cc7OaXUCYyMMMvg2ZC42/c2+0Ks6N1SVoIDSXWTVmRZlt2tZW7e8zmGVzFciRdZsBEZdFiCY7NyGbgWwLzQ5Gw+ctkFsQD45Jjq/peWv71uM3rMvbVlAPk7db9kInKFdTvmnzSfK1XJ1Qke16yddn2OcsRWoC5o2+qjlx2/U4Y6jYKIeKsdzM/c9q39beZ8wRGDw46MZboRqN0Dczn4FsYYJ6jS08D8PTMNJ4Bl5cu5ch2QJzNgcNmu2MP1VxLkAd4ZkU5wIpzle+8x1wbB2rtq1AK3i2EI3L9GIKP+Y64A1DDuMtViBWIFYgVmBjFYjwvLG6xbViBWIF9kgFEITxj8aPf/zjdMQIxdjnjD/x8Q9+8IOkMl9xxRXujN7+9rfT8pdddllHZ7lZAO1oJx0u1Ck06+a24tj/r9+fN3Ofuf+Z+pxTwNkp0agwry5CAxVnDc6ycOqAlCGaErwJQD0sq0qcE/XZL2MV5wz0FVfodAmy6RcfHKas6eBZ4dQdS6hOO3g11m7b7+y2LTtk0A5t3m4bRmEOQDbZD60Hn0zfdo+7AVZNfc0tg8BSe5zNBtu+3trMtTKJ2nZT+YKEig2wEk09zGbZpZVlOHBAR1f58VUI0Zi4PreYg1cM/ois3GfXv0k90agw46ipQGkmtVl7mzEQjIEZ1eZ6Dv+xVfsX3/mLcOxo58nZ7eBZzxU/WyYnJylPYKOZAm0vQZcL9LpLpsvTiYvHCsQKxArsSgUiPO9K2eNOYwViBbajAvgHa1JV+fCHPwznnXceQbLerDUbVWlUp636jM+jOm2Ber3jPXXqFJx11lnbcUodb7NbaNYNz87OQrFYJKVso7e//4dVwH/c1xwGhBHQUqBYHQBBeWkO6iuLDqzd3OQU+7MLIdPnLNg6wGywOzxQd/k+WreTtu3+vlWvcCcs4C0BO9nznAgYYxhO9FILqZMCriCdAPMQoqX6Ztt6PdorzeHIK3sd14PndFRu2QAtm1Vots3PKevoXCrT06zHhWuWBvMwMlqAviKPsEKMxscXlhZgaGiIVWtpiD4G36M7R+Ax2hpe73x5BfICzS78izaECnOGlWaBZ4JmBOZskeE5X4Rqvh/ecdWVcNaxzsF5I2Oe8DMJ3SmYaL/biu9WfFG20c+IuF6sQKxArMB+qUCE5/1yJeN5xArscgXQ/px2w/7hnbhhXzNasZN2awwAu++++1pas/HYsPcZe6GvvvpqOHHiBIWGffrTn3a90e2Ofzf/KNWRU8eOHdvQvGm0yWLq9kbGVdm6/OfPzEKrPuf6ygI0VhahXmZw1bnQasV2uqmquRo8lhbI5R7z9merSqN1G/8pmKry299voLmlpZrPKGn5dsqyUcZddldSxZZzsEBtLeEemL2ibXLAnHJsoddbuxlSkyq10Z1TE7WD/uiArNcL4O4Eov3GfnHsqwS/P1x9OT8obD1dmQD8p/cdcgtcDw7m4Pj4HIzmJ11gWP9APxyBR4M5zwjPDRlbJcOdybWQq9UgjyFgZNemhmhJ0ka1Ge3aYtFGm7aEgyE4X3XV27sCZzylzXzR1AsQvZufU+0+Q+PzsQKxArECe6UCEZ73ypWKxxkr0OMVQLUW/0DEkU/2dtddd+3IkasdG9ViG/alUG1t2HiceLwf+tCHSF1GYP7kJz9Jx37kyJGuVOfN/lG90eLgH/L4b6Nzmu1+O7WirnesX/v2CnztWysuIAxV4+rCDDSWF6BerQQw6/uUBQaFCH0vMfZIe0jUx9UGnhwfhVvpE0XZPpfPM0i36n9WEOWjMDOgRUmm523gWAoYNwWMGZWcLNyux1rOJ2Hj1l5o3ZeukNoLLQsFWCsL2uWD6xTYs1OAuKV9W7fSCqK98nzp0L0wXpziKurDLCfLffu7a3QWOOZl8vks5PI4LrwBuTzNm/L/dEPuMR5fxRvPQqNeg1yjzhDt1GYOBENgxhnOtWyRrNrVXD+886p/BS8661DXb72tsD3vFkTv5Zn0XV+ouEKsQKxArMA2ViDC8zYWN246VuBMrQAmW//mb/6mC+ba7jqg6o3wjOCLgV9J9Rmt23i76aab3KHgY6iK60xn/KMW/3U6osqe006m2KIFVG2gm1WL9RxQvUYI3+ztv//5PDz5o1WoLcxAdXFexhr7xGdNz8YeZ4ZOo6TqfdPTHEIzkyMDtPxLgq3cV2u2Amm9Ec5kHlAV2oFtYmYzrSh2a9cn3dwv7eC7jSKtywWgbPdt15eL4NTlBNwmQ760pu7aGVgPH0tA8Pp3U14KdgUPzuOFSXjDyH28vPYu+yQweZzHULkAMQfWkigmM55xGXRb5ws5lq4tQKuHmx7D/mbxdLuQMIBGvQ4F3FZe7Nk5UZuzRUrVrmb74Jev+vkNgTOeyFYqtzsN0VsB/pv9fIjrxwrECsQK7IcKRHjeD1cxnkOsQA9VAJVetEGff/75Aazu1CGmjZpS9VlTtvUY8f4111yzJYe2lX9Ypx0QAjNC7nYEEG1Fz/byP34dvv/Nh+HzP34jQ7GzXuMvmp7N8GshmMFSIVpBWyDZgquEigVALXTsH/NWbuqNdUoxqplo7w1HWqEiPTCAdm5RnXV7DmAFqt3jIWQnFXA+l7DHmevgt+Mt3H5bsvkQ2C0Ep/RBy/cO7gsIva+vnWYlOl11Tr7W1jdrNwP0Lx3+CwJdZlmBauFa/3hSgQ6hmaGabdm4DUzTRiUaLdgI1Pq42rU9WBsFGoE6m4U6KtGQgVyuCA0cQ5Xtg3q+D6pQhHe/863w4hd1rzhrjbbjPb5TEL0dx74lH5xxI7ECsQKxAnusAhGe99gFi4cbK9DLFcA/BFHRxZ+f+9zndiUgp9WoKbV1Y3gYwjPOd+50lnMnNd+uP04xpAi3jSrzVqjDaeey0WOvTL4AS9++Gxa+/tc0bgqh588z74eTjbO96uzAj1O4Feo8YIsCLcpz2B+sSrNXqPF5DIwKwdVDczI4DO3cDLV85vgT7dz5fE3St00SdhM84wOqQCeCvxLgbhO80/qhPSCHCrY7D1ogBbztBUtarJMqc5qa3OzxDl4CSSVbNeX1IZo38YbREzDeN8lRX86una4yKyDrfCoVjgOFOaE2Z3NZyOUylKRtbdoOohGssc9ZErcxJKyRwX9o185BDQoAxUGoQh9c8663wNkvmujkrdxymY2+TzrZ6XZD9HYeeyfnF5eJFYgViBXYLxWI8LxfrmQ8j1iBHqgABm3dcccdBM4bsT9v1Smkqc+4bbSTIzhfeOGFW358qApjmm5fX9+WnAZC8/T0NCVhbxc064F2a+lc/f7DMH/v12DxW38PGYQbtMriz1wGfpw5B/4c3i+J1qpAs7rM4JwcNcXyMPcWqzKtgJmiRBuLswdis15yRrQB4v7+NQ/drjfZw/PAgH+eD9UozylBYgrjbhSVA/QWECz9zk190AacvWKc2EYC7K3SrPtPi/8Kk7oT46XSLN7yomgziArGi5PwxvFv8dKiHDMYt1CZBbBDhdpEarse5oTSjCoy9UNnqb/ZQbSFZgRmBWea7cyznGvZAlRqOThQAnjXL/2rTb3nsTVjbm5u29+L2wHRG0kJ35IPsbiRWIFYgViBfViBCM/78KLGU4oV2I0K3H777ZRSnZyZvBvHouozhoQhzOuM5+08lq0K5NlJaNZ6oCUcb+16qOe/fhdMffnzUJ3+CcMy2mqRZ9zoIKhiAAAgAElEQVTvDNB/Bu+HZ0DVZ4ViC7hMgi4AzPQyyzOBvdsCt1OurVKtQK1zoFWhTelFZkj3SjTZufM1On9rqS6VcMxVs7U6DaiD0LC08VfB8ZgQMTqZMFQs6LUWeLfHJgyd4GS/Df8a9zJ1uoocknMrpdkq0RaorzrrL73inADmVJWZTtUt6OZQOUu2VZ3TAsKyrELnctLvTGozgrL8zGBAGKdrIzQjPFeqeXjTG18JhyeG4Dvf+Q7k83l429vetiFHDL6/8baZkW7dfP5oiv7ExMSGjtfua6u/2OvmPOKysQKxArEC+60CEZ732xWN5xMrsAsV0J5i3HVyNNVv//Zvb/qPv25PSUF+I8nZ3e7LLr8Za+RuQLMe+3qBZ+UXnoe5v78Tpv7sVu5BJVCWfym/47igZ3PH4U/h/X4kVarqnFSVLVz7HmgPpn6WsYdfEyBmUq4Jgi2w0v49CKPtewBVaJuMjbOD8zUoFNjOHUKsZ1WnMtPaNlTM2L+T+xfVmvufuerevq7rWVBPU50TAWZuIwaXHQEnzNfrJmqHT6ZBtI8H4329ceJbMN4/xRU1fc4aCqbJYEmVGWvHixt1OQ2a7fP07Qxbs+knQnQ+BxmCaLRoY6+zJGuTXTsPtUwBKtUcvPmyVxA46211dRXuv/9++pKoW4hGAB0eHiYA38nbZkfR4bFu5nNpJ8817itWIFYgVmAvVCDC8164SvEYYwV6vAIIz61GUuHsZLQz79QNVedbbrml63FTW3F8G/kjdTeh2Z5z8tiXHnoAZu68A2a/dgfDchMoh6ozQrNd5lvZN8EJuFys2GlgLEFhNl1bsJLhV0PDTD8zAWMI3fIQwSjNe25SnXXffhRVqF4DkF07YdPW8Va47GBpTWzoDH66zyZ4Tkn/5uNJqs0CkO5YWweTuf3RXkOFuSl5mw7MXlWjFa8L0ObAZfUkRAvz0kiqyw5/m5eSkDB9DuHW/s7LYN2tPVuBOxxF5dOz9fFEGJgAdJ2tDpDJ5iCLqdwEzjmCZhxLVa3nyar9lsteAUcOHUx9WyNEP/DAA4Cz0d/61rd29NbfyHu7ow13uBBCdLlchrGxsa5bQ3b72Ds8xbhYrECsQKzAnqhAhOc9cZniQcYKxAp0WgHsGdxJWLfH1U3vcK9Asx6/Jm5P/+3fwgt/9IdQ/skLpO6xyoy8or83q86gYE3LoEjIIH0T/CdKg3YwrIyWAGBOy/Zqc5jIjY9zWrcbbyVJ3sqKzSOt1Jot2xTodPtpYJpzFfKoMhtKtJCLzxVcqJgnSqdgp1i6A5hOpGwnQ8QUqj2IM2T7FO20cVkWssN+bL2OSaAO3jetepwtKWdSFjIM/s5z/pqA2EGy7WXW4DAC5gQk+2ZoZ9kmsA5GUBmFWZYnZVnGUfHv1qqdg0y+AJk8K84EztU8/NybLmgJzrYeOCcdx9xdcskllIOw3q1XABSPA50ihw8f7giid3KMXqef0XG5WIFYgViBvVyBCM97+erFY48ViBXoqQp00jvca9CMBVw7dQqe/n9vhsX/9TWC3qSKHNq00brNgMzLGahOqNMnMm+C++DyREiYVY5NeJgGhrkxVwzUNhSMQVMhmy+9LmOt2nYZqyD78VlGoU6MlxoolSW8TLcPBNFo505VmoXg+agSNu5EH7UH5WZbtuulNtZrb/FOQLXuR1Rt+yboBJ4daKe9e/i7Ci9hu/sAlx35Nkz0T2tCmHNsy5wqdLrbxLAAktmq3QKog5nN3tLdBM0Kz2TV1lTtPNQaeagD/ivAz//sBXD0UHdOlx/96Edw8uTJdSG6V+AZK4xAfPr0abp6hw4dWtdKjl8m4m23vlDsqQ/oeDCxArECsQJbUIEIz1tQxLiJWIFYgVgBrUCrP7J7EZpPf/WvYPbub8DsN+5xwV8ExBQElmbVFmDuwsb9p5lraXSVt0o3z3puUpWDALHQvh0AtAv/skBtZkQHo59UAWdx1420AoZjVaGVXfH50mDZ28BVaZYLHcxudjTaDM/rB4IJoNtUbwPE9hj5vH33scK6U7QTx5ec+0x7Smtobv1w8Mx4/zRcfvQfEsBsbNnEzUHcdiIUDBfAxGw/49kvryFgbNlu4KzmQG1uVpyxz7meyZHaXK3n4PRkEZ57tg9+/s2H4Reu2NgsZ4ToJ598Eq666qogmbtX1Vs9Lqws2rnT+rG7ccPET/FYgViBWIFYgfYViPDcvkZxiViBWIFYgY4roPZnXUGhGe+3U4k63skmF3zm9z4Hp7/yV1B+7rkAkpsV51Yqc6c27gw8kz0OX4Rrmd10FBX9TFGdjarsRlsFanOr/udwVrTtM/ZWbQvNDKIWlNX6jQqzDw1LzGTGULFCDYoUKpYS4OUUYbVUW2t18/gqVaqTCrNnXJvEbdVngWgL2lThMB285cukS4jGcLA3HfsHHw6mKnKyl9lYswM7tpthleiBdmFgITRzAreEgekMZzuOKpOHGuSgVs9BpZ6HyakiPPSdHH0hUq83oDSQgw+8/xi8+WfHNvRO+cY3vgEjIyMuVGyrkvQ3dDAdrLQeRPeSYt7BqcRFYgViBWIFer4CEZ57/hLFA4wViBXYSxXQP1YRmtHGXalUNhTys9XnXJ2bhyc//kn4yZf/p0nL5lAmDvpKALGZ39wE1Xa2MyVwr2/j/mL2/aI+69xnqw439zJ7ZThUqd3IKqccN9u6XTp3qiotvdBE8ikBYlJ0O7KKFsURRUaFVnBGyGaQNuAqAMvrWaU4ETRmW4tT1Gb+soG36yDf9UT7x2zvtF3WK9ItXkktAFrP1651+Vn/ABP9M8227FRYlloYFZpTtk1wWNNMZ1aeSW0W1ZlGUEHY30zBYAjNDQHnWh6mZvrg0Qfz0KjzFzJYNARo/PXlFwzCdb9yFhw/Z6Drt5NN5r744otJid6qGe5dH0yHK6RBdITnDosXF4sViBWIFeiwAhGeOyxUXCxWIFYgVqCTCmAI0crKChQKBRqJ00t/cJ/8bzfD0//tsx6esW+5aV5z8/xmtnJv3MZN6nPm/T552/U3S++xyL7cvxzOg262dCtUJsDa9kcHvcbaYx3CqO2l9kFhuM1QLS6VynTZ1XaOY64GByv+MQPiAbwa6LUg7XqjHTwnFGWXip2e6h2M0AoCxuxAKa9yp8Fw0+t4HSX6gtHH4YKxJ0TUVlt2CMjN4WD43YS1cJtkbXmc1WWB5lSbto6iQoBGFRrBOUsWbVKca3mYnumHf3mMwbmu6ewC0QrT+PjrXjsE11x9dMMQ/eijjwLOW+40mbuTz4ntXEYhGr/Aw88gVNHjLVYgViBWIFZgayoQ4Xlr6hi3EisQKxArQBXo1f5IvTxz37ofHvvV34AaBgkpFNufNvTLwbXCs0nTzmYFvNdP41bV+kT2TXAvXMYjn1zatgZ+GUU6Ab60hEjRrPiG6d1Kta6n2tq8iRwtPCes2oEl3MOqZUlVfyl9u5gyA1oAFp8rFhGttbXYz312UI0PBX3Luk+jUCf6n9OVZ6NqJ0LDArW7qUd6nTepnrQeSgNgfGAaLnvR/b5PWezXLYPBknbuRJK2jqxihZmV5qC3GSEaFWcbDIbQjP8QmhsIzziKKg8zs/3w5L8gOGs7gCrODVGh8fG6ex7VaFShN9IPPT09DdlsFu677z5485vf3DaZu1c+CmO/c69ciXgcsQKxAvupAhGe99PVjOcSKxAr0BMV6HWr5Oozz8Jjv/p/wNL3/sWPoiL7NUMyAm9WU7fTVOcmqGZbLq+fYuOW5z6Z/S2nLDePsPJW7uZZztbmzXhqx1lpqpfavSU+LBxtZfqB3Wgr8jbrGKy0BGx+OdF2BZK9hZqt36UDrEK7YLAMQKFQh6KCtj7nXpkK8Im+aLFo2wAw/UIgVLRTANyq2HZ/Cdu3B/v13iaent95/l06zNlYtvlcXdiX1sZZscPgMKtAExTTugrIEhSmVm3tcyaAzpFtG9VmVJrxH6rO2OM8MzcAzzxZcFZttmnzFzD1ep2/oFEFGr88ERs39UOXcnD1L3cXKoZuElVvO0nm7okPIQDo9c+hXqlTPI5YgViBWIFuKhDhuZtqxWVjBWIFYgU6qEAv/9H6/PPPw9133w0HCkV46T89AtOf/xJDrwBumLaNnGNHUfH91FFWBrzTLd5ZeCZ7DvxJ5n0S1sX9qVaJDsZQ2VnQrn9ZwTmRri1UyPAcPmd7f0N12oaMWZVY7d2+P5rX83ZuVJkRkB00y2+DCNKtQrwEasN1QoB2cGvCzGxadzhHurmfOux/DtXpUMFu9yLOwBtf9B2YKM2IQizArEnZ5ACQ1OwgNMzbuhWanT2bAFnAWVTnEKKNTTuTJWhWtdmBc60ATz91AJaXsh6O6yCWba8yW8s2KtPaB80/+TUyMV6AX/+1c+AVLx9sVwyw8KwLt0rmbruxHVyglz+HdrAMcVexArECsQJbWoEIz1tazrixWIFYgb1cAQTLr3zlK3QKV1xxBZx33nkbOp2pqSmaq9pL/c54bnfccQcd06WXXurOa+4v/g5W/uBWsnH72c1i026lOus4K2fxFqi29+38Z9Mv/SfZa+FpOMepxxryFKjGksZNMEkQjanTPlisWXX2dm4GXdWeWVlmKE0mdZv0bddn7HubWW32wWL4KyVxJ6zZZNcWkHb9zFJdvd8OmD3Ymn7rZFhYit07FZabVGgL0SZozNnLm1/i4wOz8Mazv+tUZxbtGYzXm+WstmxeziZoKzSbYDBVn9WqreFgFAiG4JyVYDC2apdrBTj14wOwguAsajL2M1MNRGVWBTpQntfph8blLrn4IFzz7tb90NiGgWnbQ0NDqZ8FyWTuDX1gbMNK2O+MM57Hx8e3Yetxk7ECsQKxAmduBSI8n7nXPp55rECsgKnAiRMn4GMf+xhcdtllsLS0BI8//jj81m/9Ft3v9tZro22++MUvEjSfe+65qeFBtSefhpmPfgLWnn1O+qBbj6JqFR4W9E8HfdPNNu7fzXwksF1rSJiCb1pfs6rKSXB2ajJxVGvV2adwe4g2nO3nUCct2has1VqNIF2sUw80gznfvLU7AwcOYNBYukU7gGnqCzbr06/dhoWZdXT9Vr3QbazcDM4PBAFhvIocZyIIzMK0V5tNT7OzaSfStAPrNlq0RW1uoE1bwTkH1VoO1mpFOP38AVhdQXBGWBZrtkvWRmu27312lu3Ufujm5RC6X3fxEFz3gRfBoYli8HbHzwKcn7zeF2E2mfttb3sbfXG227de/AJvt2sS9x8rECsQK7AVFYjwvBVVjNuIFYgV2PMV+PCHPwwXXXQRXH/99XQun/rUp+DBBx+Em266icbUdHvrBcvk17/+dXjyyScBR+20S9ytLa/AzEd/F1a/8wCPrXKqc8o4KzveSmzdnNpt/lkbd+K5+3Jvgm9ieJgqy0HCtgZ8Nadue/U5EQRmlWU/NNlAbRKYFXeNRZvpV+Y3J1K3WwGnnRUtLxBM4vahXQycZOcW+ExXoz382nCxIFm7U+U5CeItIZpt164S8iXBG89+EMZLs2LLTgIzH2eYpI3ivsIyflnAr5egvzktHMwozzh+qt7IBGqzznBeXhmAubkSVNZ45rUHY+5zrqc8ZpcL+6Elzd31QzOI220kQ8XQso2qMwaGtbshRN97773wspe9bNeTuXvh86ddveLzsQKxArECe7ECEZ734lWLxxwrECuw6QrceeedgP8QjvF23XXXwTXXXEP/8IY2ZwXqj3zkI13vbzf/eMXzwp7M17/+9W2hOXliP/kfn4fyH/9p63FWzoLtk7f9uCszM1p7owmom5Xsz+euhZNwdnPPsyjIQcI2Wbc1kZsp1/Y2+15mOzMawc8kbZvfhZOZHBUguQXbA7ezP4f9zsG6oixTD7TYuZ1qDKg+60irxBgpd7e559muz9fGWq0ZIJseD3qk0+dLWxBvNVLrDWc/BGOl2TAQTCzb3pLNKnRTcrazanMoWMtEbQoN48Aw6msWizb+VMUZg8GqtTwsrw3A/MyBttBsZzurpZt/pvRDJwLEqO9ebd8C4qWBHFz9bg4Vw6TtsbGxrt7/CNy7ncy9m58/XRUrLhwrECsQK7DHKhDheY9dsHi4sQKxApurAILlLbfcQhu54YYbqLcZbwjKg4OD8PGPf9zt4NZbb6U+4dtuu63rne7GmBgE/i984Qvw2te+lizaG7khLPQ/9jjMf+IzHY2zah8e5m3brEzz/ZPZc+DzWZ39rP3FPjVZrdthCJiFY9OzbGc8e7oMreGuGKpoM1wTDBtQtr83h395ddpCtFWTEaKbRla5RGpoDdTEyUrVSajuAKDpgMwoLrF+83HKdpsUdL/8WGkeLj3nYeFyCf5q6nFm1dmBs1qynRrt5zY79Vlg2YaDMTSz0kzwbMG5honaBVhZK8HK4oEgNRtVZErUNsCbbtfmuc9t+6FTbN/JULF//6uH4JWvmNjIW4m+wDp58iRccsklOzreqtfH5W2omHGlWIFYgViBHqlAhOceuRDxMGIFYgW2vwKoLuPtyiuvdPZs3StCNVq1EZjVpo0wijZuBOpue58XFhZo0wcPHtz2E9MEbezLRIv2Zm5OaTs9Bad+46NQf/Y5P87KhIDROKvkyCpj2+7Exn1v9nK4J3OZTpryoWAu8ItBiSDIpWgng7+MzVuI1luR+TnXJ+2IN7Qr+27ppI3bwqhUVQA1tDvL6CarVmvfskAxqtAWshFADxzkvmghVvphLd9Br3EnCnQCoFO3R3sJFeyx0hy8/vij/lgMIPMmJSxME7ObYFnHTyVt22aOM/U0ZxwsMzTzfTuKCoPBVpbHoFbN+7FmZuyUCwULrNdix+6mHzo1aMzMiDbbbxcq1u79hhD90EMPwbXXXruhFpB2208+j0FheOuF3utujz0uHysQKxAr0OsViPDc61coHl+sQKzAllUA4fiFF15wVm38IxP/KSwjXGPfs7Vp33jjjXD55Zc3wXYnB7Xd1slWCdqdHFurZWyPJ/ZBL/3+H8L8X97hZkC7RG4dYZXT/mgZaZUDCR3T+2Lb1t7ohI0b7dtPwdkOkC0kOxu1jrQyidn8q6jIibFWbEs2fc76fBKukwncgq9pinPDjKqizTTZp00DMcEn0KxntnOHoWAHDvrZ0BZwg/FPCZD24rGHbXsMcmpyWcPRW61s2qpUv/74YzA2uMBwr4FgAsiByizw3GTZlvnNZNWmc/dznCGAZoR2DAPzdu1ag+c3479ytQCVyhg0agLOMp+ZepsVZi00t1CgWaHeYD+03aZYv3X/rULFOn2/YTI3ho+9+93v3law3Q3XS6c1iMvFCsQKxArs9QpEeN7rVzAef6xArEDHFVAl+YMf/CA88cQT1POMNwRm7H3WxG20c6PijMsjPG80dfvUqVNw1llndXx83SzYLkG7m23ZZVdWVujuwMCAe3j5q38H05/+rOuDTrVqay80wtd6adti29ZwsZO543Bb9tpAdVbwpUnKSXA2c5xdOrc0PTdbrhO2bCsXu1FUVnf2o6r45I1dWvqhfbI2P59UcZsgVqpY6LN2bgPAQsUK1E55dr3Gup/Q1u1PJWHpDi58ix5pc14/c/z7As5iFQ/Cv3Q8Ff7UXubECCoFareegLMsbxVm7m8WtTlQnPNQqQ1CvYYzlwtuFrP2I7NN26Rkt7FttwsR035oDhxrng/dLpgsGSrWzXttJ5K5t/tLu27ONy4bKxArECuw3yoQ4Xm/XdF4PrECsQLrVgDVZ4Rm7HXGfwjRN998M6nNeB9t29gTfeTIEVKpMUAMYXsjt+34I7abBO2NHHO9Xic1PjnXtvzw92D+v37GjLPScDBO2CYbt03YNjCdyfHz+DPjkrr9evfm3kT2bR5ZJcCLcIvAxJ5tl8ztRk4FwBwmc6sPnCzbCuAh1frHpfU5wdVUOmkR9rby4MFkMJeBXKMatwwNgwwU+2rUH822aL9+kMhtnnOPuxbmTlRo+RIgJWjsvEPPwUsPnxKruE/RdonZBNkeljUoLFSYU6zazp6N8K7W7JT+ZgkGq9UHIJcbDwDZz2w2VmoT9uVSt40qTf3QxuLNy+DLJwTkpn5oa/dOsYgHvdMpoWIbeZ9pMvexY8fgqquu2sgmWq6zHZ87W3qAcWOxArECsQJ7uAIRnvfwxYuHHisQK9B9BVBNRlvjhRde6FbG+c44z1WTt7E/EZfDZTYypko3jBboYrEIpVKp+wNNrLGZBO1ud94qYbgyOQVT/+l3oPrDJ30fNEFxi3FW9BzaurNi5Q6B21vAM3Bb/lp4mtK3LQgr/DAGO2VZeqCTYOywW1Vio1JrDYS5fRK36YkO7dWyhoF5q0TrTGefjq170LCv8D5zNyu5ZOfu83ZutWu3snM7sCY3dgjaDLR+X+tauV1EWgZGS4twybk/dMnZafZsHUtFNmyFaIJ5Gwzmf8ceZrRlc2+zDQSTXmc3vzkL1TqqzXkoFA5DJlM0IWDJOcxmPJWF57bQLK+dFnZvbwOXfnprDU+MvyLlO6l+C5i//IJBQCX6+DneqdHN+w0/IzCU8B3veMeWhIr12oz5bmoRl40ViBWIFdgLFYjwvBeuUjzGWIFYgW2tQFrS9lbscCtSb7ciQbvbc2k3nmf5c7fA9Oe/5JVkFxzmx1eRymwDxMzcaJ0jTWq0Sd++NXetqLwKzX6eM8949gFgoWVbl5PxVNIPrSq10mUTXBPRevT0cGwfa56F3DxOiivswdakchuV+MDBqrkU2hddJwU6bURVWp8zbcABs53DrMdp+51tr7UH7JHSIlz8kieDmc08Xkpt2jK3uVWKtrFq03qiLvNPGwpmfq9nodrI0TgqHENVqWVhYOAIZHN9oSU7NQgMe5495CZHS6ljwavRzfOg8TJrSncn/dDa59yc7m3DyXTWdANe99ohuObqoxuG6K1K5o79zt1+2sXlYwViBWIFuqtAhOfu6hWXjhWIFdgnFUBrMoLpV77yFbJxf/rTn94S5SdZno1aKLcyQbvbS4Zq2MjIyLqrPfv5L0HuT77S+TgrNx/a27WTNu57cpfDN9G+LUzrVWhVnT1Uh6qzUaUFiHUbTOOqziZ6oI1m60A7cdYWo22fMcOyB9K0+xaok4oxqcwpfc2qTnMSN5GyzKJOKs7pKrQ/DtvvLNuRY37tS56CkcFlk6Lte5tZYTb9zUFImM5oFmDG5wSYFaA9PKepzRwMlskMwMGhYw6Ig9nMxnrNPc9eifaW7KQanVSrBWo7HW1llWYbEhb0VjdDsz9uD+ZvftMY/Pqvnd3tW84tv9lk7o1+3mz4gOOKsQKxArECZ1gFIjyfYRc8nm6sQKwAUE/v1VdfTaXAsDBUnjdjz16vpt3+MbsdCdrdXvP14Hl+fh5QUccRXNlnTsEL//kT0Pjxc2LLBrJwq+LMyrI85nqdjY07oU7jereKfRu5R63aTapzq37nVHBWyEwBZ0PGgQAtBaM076B4XsnVhwO1Oak+azAXwruAst9cos85g+ncqEJTTFpgz24GbQ/DgW07rT/aHD+e40UvOQnDB1bCWc3S22yVZ9vrzI8LUKf0M+OyATTL/GZK1VbFuZaHaj0D/QNjUBocbbJBe1XYg7Gf59yFlVuAV8ebrZ/SHfZD67Jh7zQeT116p7X/mudIo9Kd2g9dysHVv3wYfuGKQ92+9dzyG03m7vbzZsMHGFeMFYgViBU4QysQ4fkMvfDxtGMFzvQKPP744zQuZrugWes7NTVF+8EZzO1uX/3qVwkqzj333LbKb7ttbeZ5TNzOZrPBMVcqFZibmyNotueC46xmPvq7sPqdBxiUxZ7tLNmu71ks2rIMP8/90ryOjLjKZeF38h8hMElTl1lR1jFUOgOaz9aOp9LgMasoB9vjFWStEIp1O24RV8wUeNaHZJSVX0fVblZ1U2FbYDdI2s4AvPLcMkH046fyoRW8UxXagLpVx1/zkmdg+MCqpIjbgLBkgjY/xyOnuI/Z27PVps3KcrNVW0ZRUX8zz3BGtblWbcDoxNlQ7CvxtXV9xF7RDcO+0tTkUHEOrNymH7o5NMz3zre1dgfH1uYY6gLRRq0mS7io5aWBHHzg/cfgzT87tqG3Y7fJ3Gtra/TF4Pj4+Ib2F1eKFYgViBWIFWhfgQjP7WsUl4gViBWIFdhwBToJ8NnuBO1uDx7/CEd1eXBwEBCaFxYWaD5tMoHbbnfxT26H2Zv/KOxzVmU5JWE72RNN4WGy/MncOXALja/SXuZ1wsKEDi0YK1wbPvZwHbQ563Yt3Hrc9OFicqYIu/q04ehQnfbBYPy4BW7+/VXnLMGrjq/An37zELzvzZNkk9Zwrr/57kEzb7nZmt1ShQ6Ama3efOPfh0or8OrzTgk4MxRzj7dCtH3MqswMywTJpr+Zw8HC/mbsZ+bRVBgIhv3N+A+gUBiAiaPnyPXERGyFUlV1E+FeGghn+p+9Krw5K3cw8kq2H4y2Sg0GSx5fq2MwyeDm2DcbKtZpMnc3X9R1+5kQl48ViBWIFYgVkP9Xbbiv52NJYgViBWIFYgW2owIY4nP48OGmTe9kgna354WhYQjMOFqqv78fCoVC200s3/uPMP+Jz7Tsg9ZxVk51NoFiFp7xd+x//kYWx1f5Wc/Oxq3qc6BC8+GxKK3KtG9MDh6TBZt7mBPg3OaMcWmOKDOQjHztVGhRnwVsr73sOQr7CqBVLNEI0u99yzQ/j2ovS/EEuT88VRAV2u8HHz9IfdFG4TbATMckyvbQgVV41Uufl6AxD+raXx2qzALUppfZQbKDZ1WdeW4z2bPlHwI0Q3MGarUGDI+Ow/D4IeldlutD8Kz/vBU6mWhtbdQ+JCwcXZU+nioFxluMoOpW7Vb49pZyfq2lq90esnH5zYaKtUvmjpbtth9RcYFYgViBWIFNVyAqz5suYdxArECsQKzA+hVI/lGLlnG0aF9++eXbbhvfyLXBsaUQVTwAACAASURBVF0Izwj8ndjNg32cnoJTv/FRqD/7XPo4qyYbN4+zIqDOZDnBW2zct+TfD09lzuaUbZO0rf2sqjYrNPNPtXsrRDNRaveynSMtT9gfQuCUMWYTwZqXaXZwSxmsXRvg1S+eh1efveCAWeH4Vecsk+L8yDMHCJSdAo1hXdkcQTOq0NzTjBDNajCDNBZMQDoIHfPArNLz0IE1eMX5P3Eg7sdPSR8z2bIVmDH4yqrMCMXept0cCsbPY19zTZK0SX2uN6C/fwBGJyagvzQIpOxSKJeB5qbfbcjX5qzc7vWymdFWdvZz27FY8rprkRSO4G/V7a0IFTt58iRccsklQchhhOeNfNrFdWIFYgViBbqrQITn7uoVl44ViBWIFei6Ajo+ZnJyEu6++24C0osvvrjr7Wz3CmrRxuMbGBgAVLqwx7kT1dkeG/ZBL/3+H8L8X97hx1nlMhIqljLOChXSZHiYLP9fsP85CA8zynJyjrOozlZ9ZmXWe7tdz7QesMyEVhb1PdLen91s317nSsgYqVe/aA5e8+I50abFGp3JAKrPX/jWi+HaN6ESzOnVkGU4pvuZHPz1A8NefRal+m++O9jU/+wUb6s4G/v2wQNleMX5bAtnddmkajtg5rAv7WkO0rOblGY7eop/51CwnPQ3N6Beq8Phw+MwcfgQQXmNFGyGZrRws5NArdvJ+6oYY0DX+uoxjZ4SWE2mcjOsrm+1TiZ8h33YzQnfzepyJz3Z/CVAaqjYQA6ufvfmQsVsMvfExIT7wmu7Pyfi9mMFYgViBc7kCkR4PpOvfjz3WIFYgR2pAPYMo9KMEHrppZfuyD672QlCM/ZV4h/6yb5mBGgMD1uv37nVvub+4u9g4abPJkLEzPxnA8w+QAwVaBlnlcsA9j//Mc1/NjOeHTQbe7aqzsrJGp9t4Vjh2oAz/hr0LKvtW5Zp7ltucbYCsK8+a5YWeM2LZgWAM6Q+v+bsBXj42VF49TkLBMjOmk1gq+AcgjRK8n/1wBCpxrx8Bv7s6zpCLAOFYs2lc6tFm5VlPsaXvwy//Cizcq39zQLEzHQJVdk9J0BNVuzk72zR1iRt/glQrzVgcLAPjh4bgwMHBgmaCcSpDxp/oqrt/62rRNsRUS3GVYVAGoLyulZuq0bbcLAWvc5b2w/tZ1VvVagYXmdM5i4Wi/Cud72LwgnjLVYgViBWIFZg+yoQ4Xn7ahu3HCsQKxAr4Crw5JNPEhT22s2OnmqlMGP6NoaItZv9nHZu5Ye/B/P/9TOw9myH46zE1m3Tup/GALHc+6SfeZ207SbLNh+RwrG1dDt+TqZ9mfFUxN+q5KYEhaWd76uPzQABdAbgwhfPQgOD0DJZAmirMJMaLPZsiSmHBuTc8vo8Q3MOHjlZgkefLhFo/813SiaIjG3imM6tY67wuH7qgnk4cKAqgOxB2SrMNgSMf8fapgGzVZwFngmKWf1FtfnFZw3Di148RrDsE7hZeaZt1nWclQFoY91GmGQ7vrV4+5FQblxZU39xewWYQT2Z8M3rBSOnjD2bl2+37bTthhbtTnuyNxsqVi6X4YILLui1j5d4PLECsQKxAvuuAhGe990ljScUKxAr0IsVOHXqFIyOjgLOce6FG8IwKuLDw8Md2bJ1VNXY2Bgp0d3cKpNTMPf//N4646xwFrRRpBE4gzCxLHwjfxl8I3t5GAjmRlYJJDt4Nunchp4dPDtyTrY1MyFLRpk5RTePKpGeLXQtT7/vosdd4Bf2bb/mRTPwmhfPQkZs2QrSas/Gc/QqtKrR5qd5nlTofx4igH705IAcZwZ0zJUqz3hEL3vZIgwerAa9zIEt2yjMOqM5tGsz7HqQZqBWizYCJ0NzA4YPFuH4OUMwPFQSizaqzHZdBW9+XJVsBm8G6TQrt++P3iIrtwNjCaBrmbTt+60Da7dLCJfnDVynz4cOg81SR2TZ8Vry++suHoJrrj4Kx8/ha9zJDcftoUPk2LFjnSwel4kViBWIFYgV2EQFIjxvonhx1ViBWIFYgU4roGE+qOLiH7pok96NW6ejp9KOrV6vU19lp8Cd3Mby526B6c9/qfNxVqRCi407l4E/zl8LT2Vw5JFAbjDvmXubbX80gbCP1HbKNZOngrIBY2PxDgVpHVHVCCdPmRP8N695nJwFj/xkDF5zbAaufd2T5jzRec2WbAZn/N2DM4Jxw/U9o1KNgWHcp/zIyYMUKqYp3RQy9nQJnp7O07F4WzmPpLrglYswOlYGyGAtEr3MBM3Ndm2CZFB7toFdTdEm6BV7NkJjvQG1Wh3OO/cAvPQlwwLLDNfU5yzLOwUaVWrcvsAz7o+XWcfG3RQwlq4ck3rsep+9EpzseW5SgBNhYmkjrJLp3xaA10/bbqdYtzpmf/zX/cpZ8AtXHFr3IwJT8NENgvkEMSxsNz5N4z5jBWIFzsQKRHg+E696POdYgViBHa8Aqry5XA5KJbTcAv2xu9MAjdCOAIzq8WZuuB0NFet2Owt3fgOWPvMHnY2zcvOhkTkZOG8pXAs/grOFf6XnWQPFCIo5UEzVTDt8SlhbiFMB3FrpZT0aN9XmzAxzv/LwFDx2ehxeeWQaXn1kBt538ePBFwQ0hssp6WjX1j5nAWUL1WTn1nFSqELzsl+89zA8cvIAPPrMoByYmeUsIWWvv3wGSoN1smprSjZCdCYB0vqcLsf3bbK2jp4S2zWCrkAzvn5Gh/PwUy89AGOj/bQvBmHTG62wTb3OHsZ9gJgq22rrFogORlj5UDECX7weov6G4BrapNcD3vVDwqxNO7Rj+zFUiVRtm669gfnQPtjMj7TCF572WZfWCRVDcFaluZNZ8t2+T+PysQKxArECsQLpFYjwHF8ZsQKxArECO1CBarXalIa7UwDdSV9ztyXAbSJIbaQPuvbk0/DCRz8BDdsHTSozB2PRqCriRvzdp3MrgP5xgUdYIXwQL0tzslWkNSE7qTwLX/PwKlrIWrI9NLdj52S9EKBfdWQa3osKtCrmAszJMDRMFnd9zglw5l5nHyKG979w3zGqyxfvPcK71d55+YnW7QteswIDBpxzuZr07LL67ICZepsZlm1vslOfqZeZ+5ldojVatFFtrtbhrW8chvGxorFge+gO+5s1KEzBOoTzrgPFAiU6MRs66GlO9CGvl8pNqrUP8fKzpMNtdBZApnZuVZ077IduCkdrThmfGC/Ar//aOfCKl/MXJxac8b6m+eNc9niLFYgViBWIFdjeCkR43t76xq3HCsQK7MEKYF/yXXfdBQ8++CCcd955cP31129Jim2atXI7ARot2lNTUzA+Pt5RX3O3l0ot4AjQ3fZB4zirmY/+ru+DFpU57HX2fdD0uPRFY4DYH+ffz9FeEurkoBhhyIGxKtF8Zm55Jm55TJqcQ/e2T+DW0DBL04nct1dOTMIrD03Dq45MEdiiCv2+i55wXwBY1ZmDtnU0l8xvlrRtBWdVm3GkFYMyLgfwp/cddeBcKNah2I8pWwDnv3oNBgbZpp3LSa+zg2Q/xzkAaAPRrBqjGoxALX3IdRwX5QPBXnNBEV51QSkR/hWqyn7ms6Z426AwPxN6I4FiTencqSFgXj3u1ModqL9N2zT26wByk2CcPtoqaSn3CnaH/dCBmg1wycUH4QPXvgQuvfQlwVs1Wra7/eSKy8cKxArECmy8AhGeN167uGasQKzAPqzA4uIi3HjjjQTLV1xxBdx+++10ljfddBNgMM9mbq3+yJ2ZmaE+6K26baavudtj2Gwf9OKf3A6zN/9R63FWBpo9hAI8nTsOqEC7FGahZw778oFhwdxm6WlmVdrCMwKquW/HV60nQctq73n59+GxqQl41QTD83tf80OeW+1s54kwtEQ4mhtVZVToh58dgUd+PEJ9zzyeOQtfJAUaD17oPQPwsosqMDRahWwG7b6qKnt4RVDN5yuiNCMYc/8xA6xJ1naWaenHFbX58FgGfvGtg4FK7cZPOej26rIFY4VpB+di7U4mcrvjSASKdTUb2sAtWZ+bAr7SQDhhw07Cc6BaJxXtdVRrC9rrHYe1fZs08GQCuCZ/T00XYXKyCL9w5QT8l99+GZxzNoeKofJ8+PDhbt+6cflYgf+/vXMBrqu+7/zvPiTZki3ZlizbIFCCzcM8bKBsu7FJ0iSLme1jE5u+SDHJdqddzLTpI3Zg19k1zMQlg01nyGawm+0w1HbYziaYZDKzA2a2TTKFznY3D0y7ZMGmUWPAxpaEJFvW60o73/85/3P+59xz7z2v+9C93zPjwZbO83POFfqe3+/3/ZIACZBADAIUzzGgcRMSIIHmJXDixAl56qmn5NixY0pAowq9e/du2bx5s+zZsyfRhaMKjH1iXti/wEgsDSduiHDMVnd1dUWuBie5OBiJwbgIf6IuiLMaefhL7hy0GgVGu7ad96z+a80966+hggsB/UweGdD+qrI594x6sy02dVZ0kXj2nrHT8h3hQjb2ovp8QW7qH1FC2hLRb3jPGaPMSlRnDXdxbSZmtXJDSL/2zkr5h7dXWuetxHNG/tvfXWmdjRF3tn5TQbp6IIiDzb7a8rN2u7YWyVlpb5txhLNVWfaaWykX7fkFWbtK5PaNOVnX36YEvIrRyugKtbcV2xLJJQS0znnWM9Xztmu3zoHWWdBlDMWcaniRiZgRbeVvf47Syu0TzZ5Wbnu/Vhu72y6uc6YtYzJ/q7XZVm6K7spi3TElw32w941jvf1Op0xO5iyXc3v+HAL6Mzv7BS/80F3ChQRIgARIoPoEKJ6rz5hHIAESWEQEXnnlFXn88cflW9/6lnPWENQHDhyQo0ePJqo+VzL2SSKgqzHXHPW2Qbijfbu7uzvqpiLnh+Xcw/tl9s3TtkC2Zp7dvGd7BlpXbe3W56IWbiWMveLZ0spGddlx1bbbvv1na1aoQ17Jjmtfl+NvbhRUoVFxvrF/RG7qH3ZEsqcd3VeVNtu6T76zSolniOTXzqyQf3i7x3D4dk3CBm8W6ey2HKvdeeWMZLMwCNOmYe6ccXubFtKoOrsGVZaAnhe4TeO/61bNyx03ZOSK/qwsSFbmlaC3hDP+rf6uK8i+yrM2HSvOdjbEtj/GqoKhmPViIFo2tCVmfQI2git3yVZuf/ZzwDFKRlIVGYoVO3JrozCrmwLXbF3DO2e75LItnPX+CwXrGv/dZ1fIf957Y+ALuZCPLlcjARIgARKIQIDiOQIsrkoCJND8BFD9xYwzqsxo29YLWrnXrFkjjz76aCIIlVosowpo3aIdt+qb6GICNkZ+NK4BAjrOHPT0kW9YcVZaYEJAG4LZzIPWonMob89AOxFW1omZ7ds6wsr6hjJu9gxEF3VnlxLQZWafscd7rvuJErvKQKx/RL75+vXKSOymtSNO1Rwz0f/wXq89zmwJ4qxuz85m5Nn/fY2XrNbMmYws7c7IwI0Qtma12T97bJl+ZbPzks3MW23ajlM1KqHWPPPStilHoMEM7J475+SK1WLHZFniWUVm6f/alXG3Co2Ks9v6rduvdVyVmxPtF8/+7GejfdwW5F5DMQh7tKTHyYZ2DcFit3IHzDtD2Op5e1cw+1q5fYLZM4ftE/OeeWhju3fPLpPLl62Ks5qhtkUzjvnfn90kH7j6MvOd0/4hxv2RAAmQQBkCFM98PEiABEjARwBVZpiFoXVbL7r6DCOxJEsYc58wArqWc81RrxfnhjZuRGK1tbVF3VzGvv2CTBx8yqg8+2aGdRs3Wrttd24loNt+y4mYUtrGbtPW7l+mgHZjq3zGYThbu0itdbJu4/YZc1vX5TMP27jqgmzsuyDH37hBVaGVe3gmI79+8xtKSFtt2JZpGFrRrb8jhkvkr3643rtP33zzkuVZWbexzTb1st2yVbuzX8Bqcy5vm7Bu913SPmW1/xbgoF2QHf/ystx8zaynPdsVzG7VGVVo3Vo+X6YK7Vams2JWoSvGWtkt3IGGYk5reIRs6CIna3PuuYIrd5RWbruvXL+s8UdboXSuhG9FQzJvNfrsexDOeVc42+3aP39Htxz40w1y1cAS5jtH/unCDUiABEggGQGK52T8uDUJkEATEtDV5127dsmOHTvUFaKde9++fYlbt6PEypRy4tYxUZhrjiNOa3XL0MaNinjQjHelc0Cc1ejex2Q6QpwVWri/m79TfipXOW7ZxdVnHFlHXLmz0s5XjfZud01PNLQjrp1r8Alo89ruuf4n8twbN9hfskS0ZQBmiep/fG+V/OO5VYYHmJnfrDfLSPcVeele1yZKtKLFGv8tMuyy27iNOWYtmHPZOclnZ1UbcKEwLxvXTcnGK6bllmumjEqzJZQhkOfRno2KtVNtLlWFtr7uNQczMp9989Da8Tsw1iogF9pjNhZgKIZqskosc6K1bC84+99uxd36gr+t2pwrdqOqvDPMusLsEcV2lpfVWl3GjCx0a7f7ouPyVF7eu9At84V5pzNA38dP/OIKOfTk9erBCIq/q/S54vdJgARIgASSEaB4TsaPW5MACTQpAcw3HzlyRLVpX3PNNXLo0CG5dOmSct1OskxMTKjNly9fHmo3poDG8dEWjW0bWTSbF6ZdxOPkQc9eGJax/V9x46z8ucn2v73GYhn5y/Z7XQFtzj+7JttGznOQgPbeGk8FWitqbzx0UQXaX5F2hbZPaet/Oq3ZWNMroFdd2ynty3I+8y9t3qVNs1wRp2dlteDCLLPKaS7My41rJ+WTt4/KhnUzIlk4b+uZZlsES04mphdkIeuahBW3bVuz0KoK7cxFQ8ybFXCrIm5Wob3GZtb3nfZsva1vBtoyIvPu1zmOLZz1THRwnJXBR1V+0bJuu7EnceUOjK4qnmMONhMrLbanpvJy7kK3I/Lde7gg+/d9QLb/ap/zKMEoDAtMCLmQAAmQAAnUhgDFc2048ygkQAKLkAAEs46qwvwzZqGTxlUBQ5jWbRPXz372MxVHk8/n45lx1Zk92tAh+uMIaJz65OEj1hx0CfGM2edszjYXs+OhSgtoKCgIQ0sF22PS1r/1P7x/dejZBc7wNP0VabMN29bIameGVnaiqDIibcvy0rlmieSX5ZWAtISoZX6m44u0UHZFmiWUlekVBDOE89yC3LhmQn7p1hG5ZWDaas9W4ldXlnMyLzkZn1lIrwqtcqOtSCynylzOlVu7bisXbldUFwyDMb0vh4VTiQ42FKuYDV1UNY7eyq2q2YZBmXbltty4XaFuZT6789eeCrg9/zw9nZfzIz0eR22st3ZNm3zpi4Nyx+1ekVzJPyH8g8o1SYAESIAEwhKgeA5LiuuRAAm0JAFUd/AnDdGsAb7zzjtyxRVXVOSJtkxUblE5LBQKMjU1VXGbRl0Bc9BjY2PS09MTq2o++j/+p1z6yn+VzOXLlgO3GWdlO29bxVDMEiPSClFWV8szbffa7tv+/GcdYeU6bgcLaHsA2jXrdlvCw8AuI5gd/eyIbJ3pLNLRv1SW9nfaYtkXyeSINeuanHZiWzCrdl8I57l5uff2d+XeO86rKrOeV3b+m83KVCEj06gQqyo02ratSrQS0qhK42uqCh3Qtm1/zV+FVm3fQdViT9u16wSuK9J6dtsUz6Uqz0pUO/PeOq6rvKGYMoqD65g9D+/mKbtxU6ZxV7k4qqBWbt0WHtTKXZw97RXq09NtSjg7reP2C5DbN3fKIw9fJVesay962qK+hAvzuHIdEiABEiCB8gQonvmEkAAJkECNCYT5pReZ0DMzM8p0S88MhzESq/GlRDocXgLgZQBmtaPMQesYru7pWXnvT/bJgm8OulScFRT2P+evlu/mtspPM1fb1WUjxqpkG3dQFRrC1rDa1nFXboS0yyJoBtrIZ3YqzeZ6Rvv20sEeyXXCGMyevXVahL3tvrrCrF2YdWv2zavfl0/f/q5suvIiArM9VWYtnMfnckbl2ZpzhoiGmC6edy49Cw2nMxVnVeTI7c5Cq4q5x9SsOC/aG3/lft+Z69bxWJ5WcF/etBLnCQzFcHtVvrK//TrMTLNpzhbw9xLxWRDLw++vkOmZtqKK829uXyV//ODakp+xMD9HIn1AuTIJkAAJkEBFAhTPFRFxBRIgARJIlwDmnnO5nHR2dhbtGO3N+pfiIIG52AU0LhhiGEulPOigGK7C5GUZ3/+kXPr+30EXOm7bleKsVBt35ipPFdrKg/YkVpVv5VZn7R92tm5hUdRVKRMxLaIDZp3zvZ3S1rvUbQMuEnHayAqVZast2GrNXpBbVo/ILf3vy323v+2tMKPirIy/XLHsr0KPzeZUNd/KcsbfvbPQUarQRQZjqEJDYNst3B4DMNWinRGzNdupQhtt354qtn8mWpumeVrCdXu7VWm2nNeNP/6v2W7Ybvt1TFfuEjnQxa3c7v6Hx1YKqs5mxRn39PF9fXLN1TPK3yBoprlSZny6P7G4NxIgARIgAU2A4pnPAgmQAAnUmECQSy5EM+Kd2tvbpbe3t+wZNYOArjQHDYENN+pSxmoXnz0u7x96JmKc1VXy3dydpUW0R0i7jtxecez9undgGd8rYQjm/F/X/ovq0LZjq5bmJbeyQzJL8rbIM+ZojXgjvwHYLb0XZFP/qOzcPGSLX29rNkSwFrOqj107Z9vzzta/tXA2xHUmK1OoQqNajAwt7b6dycr4NEbGgx25Q1ehfZVobQBWKtaq2FVct3xDlKNYHN5QTLduazHt/ttb5XdnmSHA3fthrW/OOes5ZlcQW98vnm92Ktr29qPjq2Rmtk0KRnZzf19O9v/HdbLhgx3qQUGnBj4rZgcKvh7Ftb/GP954OBIgARJoagIUz019e3lxJEACjUrAbLnEL8KYaV63bl3o020GAY3K8ujoqPT19UlWVUhF9NdWrlxZcTZ65rXXZeThL0kBrsN2brKaec5ZZljW3/UctBUNhQr19/J3yvdyWzyZ0Eog+3OhnbvhzkU7QlqXmlUrd5msKmxgVJmNTCrJLMlJZkWHSEfOM4fraR2G6RQEopp7XxAlmPtGZOfNpyWTc6/JEse2EVjQfDOEsmJsCWp37tmtSuNrThVaCXtrm8uFnEwXIJqNuecQs9BBVWg1p2xXlT1V5hJVaI/hmM95u1zV2moV123dyVq5tTmbaQzm5IgHRVEFtdnrOCtbWI9eXCUzM1bFGfcW+7tlY4f82aPFPwP0yzY8ShDRMA5ky3boH5VckQRIgARSJUDxnCpO7owESIAEwhHAL7+oMvvnmsNtba0FAY3K1GI2EtNz0KgwI4oLSxRXbsRZjTy0X2bfPG2bhVli2ZqDLv5jfv17+a3y3exWp3Xb677tOnHrnuyi1my4dZe6YYHzzKrWLAtLciLL2mW+I4vAZrUXj1GULb7Qjj0/Ny+fvvb/yabeYdm8elRpZNWinoEpmv1yQBum2WJXO2mblWVv1TlcFXps1rueaSiG6vM4Iq1sIe6fe65UhfbOOJdu67actfHywKwu25XneTh5m3FYbr50KUMx7Ktgt22b2dD6765Dt9dF2yOWjW4APZeuq9FWxdowA/O1cs/Mtsvk1DKZgnA23L7/5PdWyV0f7Sr78dfdKchOx8+N/v7+KD8uuC4JkAAJkEAKBCieU4DIXZAACZBAVAIQvZh9vuqqq6JuWrS+mQWdeGd12AGqzTBIW7JkSSThrE8Vc9DTR75hxVnZ1Vi/gC6Ks7KFJ77+/dydylRMSWF7NlbtW1ei9UyzHWXlCmbDglufjKcI7c1rXmjLSqErL4W2rBLLyoHZjjTSLdk3db8nN/WcVwLstze8YXdbWy8B1DXoFwPmdeLvRoyX2aJtzTJbLdneNm03p1lXmK3KdfC6lkjOyeUC2rmt9VRlWRmG5WRiZr6sI7eep3aq0WpbuzLsMxNzc5xdQ7DShmKGqLYr04HrOpVoqwqtBLmegy6agfZnQ5tt25Y4jtPKPTvXLmOX+myHdHQULMjSJRn54h/2yi03FLtpl/oo/vSnP1XdGsx3rsMPKx6SBEig5QlQPLf8I0AAJEACaRF45ZVXnFirTZs2VdwtBCPatdOoIC1GAY2qM2ab0bIN8zBEgqFFNUrl2YQ89u0XZOLgU27l2c58VsKyRJyVWYlGtNVQ9mr5bnaLayzmuIoZpmBmudkQy04nt/G1uXxGCrmMzC7JWS26huvyxs5zctOy95Q0/82B/2sJf8+5ekVxUSVdtaTbLeqOgEZntlWVduedVa6X1bZtCGRdNS6ehS5ed2zWEt96/hmz0NPzGZkqoJXbjbKyvu913/ZWobXwtszJ1DlqJ21t/uUxF7PbvO227sqxVkHr2wLbiMrS4tl6eVHBUMzTmm1Wlk1XbWNmOqCVe3auQ8Yne41YMZEbr83LH/zbblnTl6/4s0KvgBEPdKzE/YyEPhBXJAESIAESCCRA8cwHgwRIgAQSEoDoO3TokLz66qtqT+fOnZP7779fdu7cWXHPaL1GBbrVBLSOn0K7dltbm8NJO2xDHOg56IoQjRUKbw3J6N7HZLpSnJVRqbXany2BrSu8iLiCO/dQBoL6KqsVVx3H+Yt1VF9G82xmQWbsdu7L2QW5oeOsbFxyVm8pN3Wdk5uWv+ccC8cNajH3f839N3Swbtu2W7h97enmts58s2cO2i+mS1ehx+fsOWktvCUj47O2YIYgt528HQGNmWoYlZXJhfZWobWI9lahPbPOnvnl4jZtCGpVrS6aiQ5hKIZ0KmU6ZgnoIEMxTyu3x5nbaxKms5/9rdxzc+0yMbXaEs52FvdHf6FDfv8zy6M82sokDJ8XtG1zIQESIAESqA8Biuf6cOdRSYAEmojA8ePHBX8OHjwoa9eulaNHj8qRI0fk0UcflS1btlS8UghozPuiFTPp0ugVaC2OEcOFvOegBRXpCxcuSBjTsKDt0cY9uvfLMvWDH9s+WrYoNiq7TpUXbdBOhRpVW1uYeiq5bgX4n7OWmFbb2NutXRiSG9rfVVVgtzpsCFt7PWvf2sjMbsN2KuL6GPY5sag94AAAIABJREFUhN2X0bJdPOutq9Ba7Foi2W3T1uZhttFYkSO3uW7GMhPTpmSGczdmoa0qtI67ck3JPFVo27kbgh6VayWiVfu3rlznfFVoUxSHaeF2q85mhTqojTuSoZinOu3GhXkctUu0cs8VOpRwVlnctnh+4NOdAvEcZcHnAcI5Sj56lP1zXRIgARIggXAEKJ7DceJaJEACJOAhcOrUKTVzCLGMqvPp06eVeNbLgQMHVCX62LFjochpM6AojtuldtyoTtyV4qf814O5cIiFuJW2sT8/IhPHvumZBzZbn60KrXbjhvAtNhtT6xhVaVeg2tvl7O0ggvW6HkHub722Wq29QtdwBA8wO3MqyUVt3e6+is89q5zGHddxO7bKmoH2RVppJ24liO3ZaC10fc7d3vnorIzPWvszzcQgopU7d9kqdIBwNtq/nTzooBZuVJhR8TayoBFzZVWg/W7eOtZKi29ru3KGYrGyoT0mYpZh2KWZfpktdDjt+r0rRP7os50yeAVuTPgFL8T8UVXltsbPnc2bN4c/ANckARIgARIITYDiOTQqrkgCJEACImfPnlWVZfyC+sgjj8iGDRvkxIkTqtJsCmWsh7btPXv2yLZt20Kh0wJ69erVKo4mydJIAjpK/JT/miG4sWAmOs4yceJ7cunJr5WPs1JeWHZ12jcnrUSuUYWGy7X1b+hSX0W7ZPu0PZvsEetlHMHNCrk+vhG9ZYlpV+wXVZyDzMRscY95aLN6rLOgnegqu6JsGYzZVWFbbJsVa8uJWwtxS3CPzeh5Z78w1rPSup3batW2jgkhbB1Hn4NVlUZ7tit8nQxoQyQrAWxkPBfHWtlCWYvqMoZiOvYK7duVDMV0a7fVpj2v2r4t8zdtOLcgl2bXyGyh3XFRv/4DWXnod6O1W2P+//z585GEM0ZIHnjgAfVSD6MjYbwX4nyuuA0JkAAJtCoBiudWvfO8bhIggUgE8Evp888/r0TymjVrnBZt7EQLZf+cM6rPqEgfPnw49LEgoFFpGhgYaAoBPTIyoq4dlbO4C5igrT3uHLScH5Z3PrdXFgLnoMvFWZVooS4zY2xVtsu0XmsRXCSKbTGtNCSqxto8zJxrzipN64p5d0Y7yEzM24JuiX0tvF3zMF8V2q5Qe+KuIHTLVKx19dmJrdJGYJmsauUuXYW2RbZ/btrMk0ZV2xG/ZlyVW2V2hDXENBy8DWMwlSntE8+6pdtt53YNxdyvGdnQfkOxoDZuI9t5cm6NFOY7VJs2/nziF3LyW7/kzvWH+RxAOA8NDamfA1FbtfXPqueee062bt2qXuJBTJdbsA3du8PcGa5DAiTQ6gQonlv9CeD1kwAJhCKAmWa0Z+sF1WfzF1L8+8UXX/SIalSkIaBfeumlUMfQK+EX5zNnzghauKP+4uw/UL0q0Kg2j42NSU9Pj8cQLBIIY+Wk+8Mc9KWvPi3j33mxbJyVlcgEkeqfQTbar+O2cRtt3UXu305FG3PRRiW8QlZ1UPu3E2nlm/F22r/tOWt/pFVx9dky/4Irmo6wchy6dRu4U6m255ztaKyxGVSUXXdubDddwFw0dmetq+eexRHb1uwz5qTVOsbfsS5EcZHg9Qhjq2U7VKyVMiGzM6SN6rVjPqa+r2K4iwzFrKgqN87KyYieF7lcWCtz8x3OjPMf78zLdYOe/LKKHwG8LMLnf3BwMNELNAhi/XPpnnvuke3bt3sEMn4+4ecaRDNeAIYdMal4AVyBBEiABJqYAMVzE99cXhoJkEC6BO677z4lmFF5Rtv2+vXr1S+eurKD7+PfmH3Gf7UDd5TKsymgUYGGC3dSAY191spIDGZfqBLDICluq3W5u5Z0DnryWy/IyBNGnJUpTp25ZWMG2TT0KmrTRjVXt3G7ojfIPdsvciu2XhvnZTptu9sZ4r5sm7ee6876XL1LRVq5Zl+6pdutQsNd29pPqblpXYXWkVgQvar6DKGqZ5oDZ6HNKrTdtq3bt43oK3eu2Z1tLimodQSWnSNttnir6nOFNm63gm1UoYuyoS0DscL8Epmav8IWzSIrly/I5+7NSO+K6MIZrtp4cZZ0dEN/jk6ePKk6ZjAH7U8A0OaGu3btkh07dqT7A5N7IwESIIEmJEDx3IQ3lZdEAiRQHQK6kgzxjDgqiGdUbCCUUbXB33fv3q3yinULJBy3sV7cJapZULnjVFtAl4qfinvtpbaDgMYSN+t25rXXZfxPn4weZ6UKokEi1Nv6XSye/W3cJYzJAtvBDUMzZXYdYExWsqJtV9DVeHHxjHVgpBVeBtjVY6sE7oppqwod4NBdogrttnPnjOxna765dBUa+3cduEtVob1u2b6Ks9O2XSnWKjhDuqyhmBFrpd22CwtLZGrhCicv+uZrRH7nk9Gf+jRNA8Mefd++fepnWZwXfGGPwfVIgARIoJkIUDw3093ktZAACVSdAH7ZhEkYBPLLL7+sDMEgmHUsFb7+yiuvqPMIaxRW6aRRiUL7c6NWoHX8FCpl1ag2B/GB0EBLelwBPXthWEYe2i+zb5623LiVTjTMwWyRmtU5zKZhlzG37OQ0mxFU6u9l3Lid2WPbyduOsLLcuu3zUPuwHLP98VbW+brbOo7aMHGuZCZWsqJtOYAroy7LDc02DLPEdKB5mL2eWYWeXsjK9LxpNOZWqWEMNj6z4I2nKlmFLpEVbVShve3Z/rbuYGGs2roNcW3OP2sDslLRVtb33Sq0ZS62RGYy66zW7nmR3/yEyB03VvpEF38fzzPy3tOIqwt7dFSkP//5z8sTTzzhMRbTpojwa9DVas5Dh6XK9UiABJqdAMVzs99hXh8JkEBVCOgqMwx5MOt89913C1ofq7VAQCPnNW5sk3leaVagUW1GqzZEc1ZVJmu3QLTDkAxmZG1t0QyZ9FlOHj4iI1+PFmflryybbdWeyrQ9u1yyjdufL+130DYFcjYj2ZKZ0K77dulzM6vjWmS7Ar0o0got1p6YKq+YVoI5UhVabGGec2ahMRftZjy7xmXuLHTpKrQW+cogzI6s0i3dHmduWyir+Wl7Zroo1gpz0/MZCXL0diKz7DZv01CsIEtkOrNOCeqeLpFf+5jINVdEf/7xEgjCGSMatVzw0g+LGbGn3brxdbRxYzxFx/BVMh2r5bnzWCRAAiRQLwIUz/Uiz+OSAAksGgJo10blZcuWLZ5z1m3c+CKqzKhCV3OBgO7s7EzFFXd0dFR0+3Occ9bVZgj6uMI1znH920C4Q8DjpULcyvzYt1+Qy187asVZGVVoGIe5otI28TKrxnYV1ytYTWFayg3bJ15L5UuXbeMO3nd5YW+1bmd1C3eUSCsnCzrAPMxjGua2eltVaHt+2W4BB09EWinx63fZrmoVOlysla5EWzPRwYZiSqxnVspsZqUUFkQG14h86iOYc47+ROMzODMzUzPhjJd+EMHaANFvfAifBrwMRBu3FsvwcoCQ5kx09PvLLUiABJqPAMVz891TXhEJkEBKBMxM5wcffNARz+bXcSjzeykduuRuIKBzuZz09vYmPlRcJ25Ue1FljtsynfjEA3agK+Bxz6nw1pCM7n2sxBy0t01atXf7q8ZGm7UlwO1KL9q+y7VxBwlwW9RaQjh4XllHUxVVvT1O4EaslWl25mk7t4V8xhePZbd/qwpzGYMwMzNamYlpIa0YufPSU/NaSLtfx2wzZpqx3fgMKtOW27bZBh69Cm2J3iJjMW0epty57Sq0L9ZKzTqHcO8u5K+QeekUtHHfcUNG7vr5eE/08PCwEs4wB6vVgrETGPqdOnVK4MBtGojpNm5/Nj3Fc63uDo9DAiSwGAhQPC+Gu8RzJAESqCkBiGNkOqM6g+zmu+66qygnFb+EomV706ZNFTNU0z55/NJdKBRSqVZFEdCoNqNivXLlyrpWm0vxxLXgT9xMacRZje79skz94MeWaNWCs2hO2M5iLiFuS1Z/g9q4y84uu6K9SJA7FXItekOaiRlz1XAKx0y1GWHlzHDrOWwl/q0KfOmYKuN7OqPZmZsu7d6N/Y3P6sgq3aKdlak5Oxva2Jclqu2ZbO3Cbbpxl5yFDqg4q/ZtNzPaPztdaiZaCfL8WpnPQDhn5df/VZtcFbPTGqMT7e3tqbwEi/rzBZ4MTz31lPq5hdZtXWEOauMuNRcd9ZhcnwRIgASahQDFc7PcSV4HCZBAKgTQim3GujTqnF+a7Z5hBDRmMqsVP5XKjbN3ovOgIaDjzmBffPa4vH/omUCHatft2o2zcg273IqzZf5lGZFVnkMubuMO3sYV7a7grZAJHWGuuriabVW+EVmF63ZnoL1VZVVhduaj7e8VVaEtEzGs661C2xFVmayoGWhHEIevQlst4Lo93G0Jd+aVPfnQOivarTJbQhrmX/74K6/AXmhbKwuZpdK1NCe/tLVD+iLGUOnnHN0jEM5xuyTS+LxgthkvCLu6upx27E996lPqZaHZnh0kqNM4PvdBAiRAAouVAMXzYr1zPG8SIIGqEMAvi5hfTsspuyonae80TaMh7AuCfGpqynPKuppb79nmKBwxB41rgTCIOwc9+bd/L+OPPWnNQRtt10Fu1oEZzkq0wsHadM+2BHWcNm7P7HVA7FRQG7crwI3zCHTbLmUmVjxX7cl39rVme7OfzfZs7d5tVZct925L5FpC2uvI7ZiB4fuxqtAQ3hDrblQVqsuBhmAhYq0ks0Qkv0LmM0tkTW+7/MqHO6M8jp510zT+i30SARtCTG/fvl2Zh8FhG4uei8b8c5K4vTTPk/siARIggXoToHiu9x3g8UmABEggAQGIW8wwphVxo5246xE/lQBD4KYQ0Kg+x47POj8s73xur8y//a4bZ+WLrlIGXP44K1WtdQVpkNu2Y0ymt9Xr25Vib5u2r7VaR2oZs8vmfLSOuHIFdyVzsfBz1aoKXRRpVbo1W4lkXYVW1Wk39qooQ1q1ZUP05uT9aVHxWGomWu0jJ9MFkel5y7VbzUKLV6A71eeA6rU7A23NO5eaifa3cEM45zpWK0fvW67tks3XL439mF64cEE55sd9oRP7wCE31JnPqD5jdAXmYfi7ORcdcldcjQRIgASalgDFc9PeWl4YCZBAqxBARixMvNIyHvrJT36iZodRua2nk3Ya9w/XAT5xW2QxB33pq0/L+HdetNuwLcdqXel1q85uG7dq7UbLtmEcVr02brSGZ+3jGZnQnsxqq91bnZMjuKOYiQVFWrnVYqtlu4Qo9s0+B2dI6yp0Rrlza1FtmYXBTMyItAqccy49C43z0vvRc85FM87aTMxXhc7kOiTfsVpy+ZxsuW2V9K+KF4eG5xgvpTBK0KjCGeeI6jPct1FxxkLhnMZPIO6DBEig2QhQPDfbHeX1kAAJtCQBCES0hEJA5/P5WAy0CMcv+RDj/hbuWDttgI200Rmq83HnoIf+8q8k9xfPunPQquhpmXX5W6oD27jtiq0lulFVtWeidQu22p/R6u2LxArOkjbmrn2V7qJMaMxea0GvzcD0XLbn326buYq08r8EMP6tW9i1kZcroC2Hbi2CXcFsVZCV+ZiRIQ3BbLZuY3/4t465sqrMbuSV6ertzDur2CtdpTbXtdu3DSfvoqqzbyYaVWYI5/YlfdKWm5VfuHWdrFwRr1V7bm5OCWdkODeycDY/phDRiObjQgIkQAIkUEyA4plPBQmQAAk0CQGIX/yiPjAwEFlAQ3hjwS/5etEt3M2AB3PQeCHQ09MTuZr++uuvK5fxm9uWysyf/XmoOKuituuiFuvS1WtPZTuojRvi28xodszJ/K3iweLamY8OYybmCGy7em2IftcMzW7bLoq08hqLKcGsWq0t8zDHvduIt5qez8mUMwNdPAvtibQqU4UWQRazFt3uMSHEIerxX7Rve6vQlgs3hHPH0lWybk2PbLqhT72U8n82wnwmIJyHhobU53GxCOcw18V1SIAESKCVCVA8t/Ld57WTAAk0HQH8wn7mzBlVgQ7zCzsEN37BHxwcDFw/jBP3YoKIOWhU5sNW1n784x8rl/HbbrtNXebshWEZeWi/zL55OkScld3ubM5Am3nLdtyUI5Y9+c5lTLzMtvASVWM99+y2aZvt5nqG2ppfDsqSdmeoK61jtYJDzBdFWjku3CUEM4RsCME9XcgoYzE966xnocdnFtx5arPqXLIKreOwDFdvI/8ZFefOrpWSyXbI9deuk3X93c6jrbsy0P6/dGnluWesj88hPldxO0EW0+eK50oCJEACrUKA4rlV7jSvkwRIoGUIQECfP3++4owlDIxQkTWrzUGQmk1Aj4+Pq+suNwcNkY083C1btgSuN3n4iIx8/Zvh4qw8Ldh2BdczNx1gMGa0hevM6WATMlMI++Kz7BZrx5zMbjMvvz+/uVhpMzHv7Ld9HoZgLnbftlqoHcFsV449GdLG9m4VWgtzuHNnZKpQ3MYdFFWl27iLq9CmELfNxxYy0rUMwniZXH/doHR1dgT+vNBVaIw2lBLFaYxQtMwPK14oCZAACSwyAhTPi+yG8XRJgARIICyBUiZFmGlEbnMUA6NmE9DaTRwC2j8H/Td/8zcK8cc+9rGyqMe+/YJc/trR8HFWZpu0v43bY+alq8QBwjVsG3eQqZkqAPvEcYj9eWe4dUW8fH61K5xt4Zt1Hbn1DLSnbbtkFdoS3NMLqD6r0Gx7ttl24lb/zsn4zHyMKrQ7I728Z4WsWLFKrrtuQ8WPlx6PwAy9v4MhbfO+iifDFUiABEiABGpKgOK5prh5MBIgARKoLQFUl+GajVZT/Yt9e3u79Pb2Rj6RZhPQqD6Dz8qVK9UcdKVqcxCwwltDcm7vY7Lw9ru2C7cheHWLtm6NRu6zPzPaFK+mmZiqElvu2cVRVz7hWq6NO3D74uqyf8462FzMPR9lJuabtTZNzcxIK8s4zDv/7MRU6bbtClVo/5y0zoieKmijMNsYTLIyPr3gmoepuWfXTMwR32om2jqn7u4eWTNwtVw5cHWkzwSeF3wmVq9erarQ+HzhpVRasXGRToYrkwAJkAAJ1IQAxXNNMPMgJEACJFA/ArrVtFAoRKo2B50xxAJEQ7M4ceMaYST29ttvK+GDNu2oC+KsRvd+WaZ+8OOQc9CGQ3fgnHPlNu7SGc5l2rjtarQ3E7pyBrR21bbSqOz1deVc/dtt2bYcw203cft4nvZtw4XbzXkOMA8zDMX8xmKqCl0w3bxzMlUQq53bFuphHLnzbW2ytHOpXHfLHdK5vCfqbVfr6xGJXA4X7TXci7VDbkQCJEACJNDQBCieG/r28ORIgARIIB0CENCoOMfNO/afRTM5cWO2ubu7W66++mr137jLxWePy/uHnvHGWaHarASj2+7suF07rdVafNrrwHzLyIj2Z0l7q8QQtNYcsSfD2RddZZmCWZVvq6ockAltV8UdsVzRTMzKmFZiWR8v0BDNYuDMIAdVoe2saEdo267YumKNSvbYrJsBbc1JW3FWMBRTZmKWivcI6FKz0Og0QIV44MY7pL2jsgFYuWcCL5NmZmYqegfEfa64HQmQAAmQQOMQoHhunHvBMyEBEiCBqhKAgEaFLE7LdtCJLXYB7W/TRtstKusQ0HHzoGdee11GHv5SiTlo25k6m5FskUAOqDaXaOMunkH2beupCrvHLOWqHZgJbbRk+9vGvZnT/rbySpFWdsXYFsu6HdutQrst3kFf0+J6fM4yDbPMx7yz0KhKu+3clrO2mTndls/LlYPXyNob7kj8eRseHlbCGe72XEiABEiABJqfAMVz899jXiEJkAAJOATwyz7atys5bIdFtlgFdClTMBiJoY0bZmqoTsZazg/LuYd1nBXEa7Hxl791WlWm7ZZoXUH2zhD7Mpx9btyV27jtynSFqnawOZi3cl6UMe0zJ3PauD1t4m6kFarVgTnPaj7bNBazhbYhfhXMEuZj0/NWJVpHWqm56EJWpudFCWj8aWvLy7U/92FZ1h9tvrnUy6O4/gGxnituRAIkQAIkUHcCFM91vwU8ARIgARIIT+DEiROyadMmWbt2bfiNfGvCbXtycjI1AT06OqrmoBfDEtYUDOvBZC1MVnbQdWMO+tJXn5bx77xoZyn7KrSOkZc9R+yLs3LasFXbt6+tW5t1qYKqf7925dfj3h1U1ba3VVVq15ysZEu50ZYdaCYWdC5+8awr6arF3BbJlXKerf5yp3IcZD42PmvsS6x1VaQVhLQtmiGku5d1yuAdn5COnv7Ej2raYxCJT4g7IAESIAESqAkBiueaYOZBSIAESCAZgbNnz8rRo0fl1VdflQcffDCWsZV5BmhPhkFWWhXoxeDE/aMf/Ui1ZYc1BdMvBJLMiSPOauLgU8bcc+ncZP9sdMlcZ1WltkR1cZXaMPDS4tXXxu2fvy46jq5qB5h/ecW6YU5mm4n5Z7X95mF+sR8YW2VnQZut1o6ANqvQAeZj47PafEz/NyfzkpVVa6+S7o0flvzSZck+iCIC4bx8+XL1coULCZAACZBAaxGgeG6t+82rJQESWIQEjh8/LkeOHJGtW7fKzp07E1WdzcvHjO/Y2FhLCGiYgkHs3HbbbZGeAD0HnURAI85qdO9jMh0mzkoJXqPabBiBVaWNGwI0KGPabjVHK7lrBuavaldoR4eZGKrmZdvRLROzBb9hWGDF2VuF1sLbnI1Wf/fta8ngbdJ1XXQX9aAHBdFmEM5xOxIiPXxcmQRIgARIoOEIUDw33C3hCZEACZCASwAVZwjmbdu2yZ49e1JHo7Of0zI8arQKdNg27XJg05iDnr0wLGP7v1I6zsp0wbYFc7FYtlyrk7VxlxG8JTKh/e7eZr5zsJmYdQynkq7Fc+hIK6v12hTC3pzngFnoElXo1Vt+Xbr6rkzlc4P5fszCUzingpM7IQESIIFFSYDieVHeNp40CZBAKxE4dOiQvPzyy3Ls2DFBFRpzzxDVd999t+zatSsxCghoCIOBgQHJ5/OJ99coArqUKVicC5yfn1dz3V1dXYnE0+ThIzLy9W+WibNyhaenjduXnexxvIbQ9MVPeUWtN0rK8z1Ulu2IKo/gtd22/d8LMhQz28DLm4kZwt2MtHIistxIq6DZZk8uNKrLar45Z5iPubPR2a4VsuyO7ZJbvjrO7fZsgyxnfD4w4pCGcMZnGMuOHTsSnxt3QAIkQAIkUFsCFM+15c2jkQAJkEBkAjD4euCBBwT/XbZsmfql+9KlS6qVG9VoVKWTLmkLaJxPvZy4IXL/+q//Wj7+8Y+nlmut+Y6PjwuEdJI27okT35NLT36tYpwV5oV1NrMnZkoLTydOKsAQrJIbt+Pu7TUjKxlLpdu4PW3e5nHRfm20aHuq56XnvAOr2spN2zQJK+2w7VSo1Sy01f6d7/uALNvy6aQfCbU9hPOZM2dUFFUawhn7PH36tOzbt0+NX+Dl1/r160ueq/7Mp3Ix3AkJkAAJkEBiAhTPiRFyByRAAiRQfQKoNsMszJx5PnDggPpF/PDhw6mcAITC0NCQqkCnJRRqLaBhCoYZ2ltvvTUVJkE7QWUdf9DCG3s5PyzvfG6vLOg56LBxVnbbNkR1Ud6yNgar4MZttV1bs8ZF2c+6dRvC3dfGje28mdDB63hay/XMdkBEVtlIK3v224208jpuO1Vo7dZtG4l1bPxF6bjhI7Fvi7khXihBOA8ODqbSkWHuG6L4+eefVy/A7r//ftm+fbt6MeZfdu/ercQ1PvdB30/lQrkTEiABEiCB0AQonkOj4ookQAIk0FgEzHbutM4MAvr8+fOpznbWQkBPTU3JD3/4Q1m5cqVs3LgxLRwl94M5aER09fX1SVa1EEdfEGc1vv9JufT9V6yMZ//MsRlnVRT7hK5lX/azkbfs5EibVWrn+6XauG1DMEegG3PLnuMbM81GhJVq6Y4QkZXVIt/YxjQns/alc59dUzHdqm22cUt7p0zf+MvStyGdlybaC2D16tWpC2fzScH4xcGDB9UYxhe+8AUVQ6cXbRS4YcMGOXXqlPp+WKf46E8jtyABEiABEghDgOI5DCWuQwIkQAJ1IIBfqF966SVVdfIv+MUa4hltn9WYnUzbHKmaAhpt2qg4w0k7STt11Fus56DhvtzW1hZ1c2f9i88el/cPPRMqzsobBeVruXZcrWO2cetoqiKHb1ssB8xWB0dXBbwI8FXDvfPctgma8TLA3C+u2c7lEsth2zYTs1u7Z3sGZP7mX5begWti3wNzw7RN9MKcFD7P6Cx59NFH1er47GNUA1VpfL5NIQ2xzYUESIAESKA+BCie68OdRyUBEiCBsgTQpo2Wzs2bNyuBrFs20aoN8zD8G79YpzHvXOpEEMsDg6y08myrYSQGU7AlS5bIhz70obo9URDvqD53d3fHPoeZ116XkYe/JIWJi3Y7doC5VlBF2IiBKjIJi9LGreKxijOi3Wp4CZduZxY6i4KwpxpelFtdVGE2Zrqxrb+K7a+U6yq0btXOZGW271rpuPMzqT6j8BNAR0E9F8xEI17NfDmGVu+TJ0+y+lzPG8NjkwAJtDwBiueWfwQIgARIoJEIoOJ09OhRVYUKEsf4Pn6BRnsnDIeqvbz33nsq17bRBHQ1TcHiMIWwQct7kso34qxGHtovs2+etgutdtu0ISqteWVdCTYymJX5dPpt3JagtfKanWqw/zj+TGjHPVufjy+3uqKZmK6o24LeJ8p1vvPkjb8iXRs/nOqzOTExkVrueZznSG+jZ6Kfe+651Fz1k5wPtyUBEiABErAIUDzzSSABEiCBBiFgVptNY7B6nx4EdC6Xk97e3lROJWkFuhamYHEuFHPQY2Njal48yRz09JFvxIuz0jnK/vlouGD756HDuHHrSnRgxVhHXLmCvSjGKui4/up2UWSV3p/Rku4xGxPJdvfJyMZPysoP3pSacB4eHpZCoVB34YyXY+ZLMZ3zjnZuzjvH+VRyGxIgARJIlwDFc7o8uTcSIAESiEUALZpPPfVUkWlQrJ3UfWORAAAfyklEQVRVYaNGENC1NgWLgxFz0Gh3h3FZkjnosW+/IBMHnyo9B11kJuar7hYZhQVVpgMipDyCN0TF2Im8CsiLNtuwi9y2AwS9Spsyq+nFlfS5VVfL6O33KoGZVjdEowhnHUmHmWYtoPE1OHFXy9sgzjPObUiABEiglQlQPLfy3ee1kwAJkEAEAhAZMzMzKvM2jQUVaLRfQxRXWuplClbpvEp9H+eLuK8kAq/w1pCM7n1MpsPGWXmEZ0B+cwlX66KKsVnBDtqnaSjmcde2ha+ZCR3k8K0MwIIq1oaLt+f71rUsXH+nTN64TbXGJ+Fq3jMY2bW3t6fWVRH3edHbIZpKO2/39/erEQ54HCCOrhZjGknPn9uTAAmQQLMToHhu9jvM6yMBEiCBFAmgEjY5OZlqe2slJ+5GMAWLg3B8fFxQiU46Bz22/ysy9YMfO3PQHmOwoDgrLTx9s8KeGKgkbdwlIrH8reH+TOgiwWyeZxmHb8xbT9x5v+SuuC61Fze4n+im6OzsbLj8ZAhmmAViWbNmTdWNAeM829yGBEiABFqVAMVzq955XjcJkAAJxCSAinHaxkpBArrRTMHi4ELsEdybIaDjzkHjuGN/fkQmjn3TMO3ytVxDROcy4mQn+027yrVxo6XaXt9ThS4y/rIjqLTDt6eCbJ9PCYdv7351y3Zlh+/citVy8SP3qznntDoewDNtJ/k4z0a5bfCSChVouOqz4pw2Xe6PBEiABOIToHiOz45bkgAJkEDLEoAohDkWWkvTWkwB3aimYHGuFdXnkZER6enpSTQHPXHie3Lpya9J4eLFYrHrEcdB7c+mAZcxy+wX1XbLtbe6LUqYqyirMm3c1jZ2/JSZ6xzkAq5nq+22b/d47iz0wuBNcvFDv6GiyNIUzqg4416grZ4LCZAACZAACUQhQPEchRbXJQESIAEScAhAQEMUpils/umf/knl28Jwa+PGjU1FG6wwq5toXvf8sLzzub2yUGoOOqiN25w7LidkTZduiOicURn2zyg7//bmM1siu9j4S4ljYxbaP2dtfd912h6745flf43OK4fpD37wg6k9B3hBAzd0CufUkHJHJEACJNBSBCieW+p282JJgARIIF0CENAQJAMDA5LP5xPtHG2qL730knz4wx+WhYWFRPtq1I3Rio4lyRx0YfKyXPrq0zL+nRfdNm6z4mu0YBdnMwcYifnjo5x27OLWcAhjz2yzM7dsZ1L7jx0xEzrbuUymPv5pKaz5gMoX/8Y3viHbtm2T9evXJ7qlyOAeGhpSzymFcyKU3JgESIAEWpoAxXNL335ePAmQAAkkJ5CGgD5+/Lg6kR07dqj/Js2CTn5V1dsDeOH6uru7Y89BQ4RnTnxfJv7LXwTHWYVo485ks4YQ9opqV3SXibMq1XIdcGxrpjormZxVlQ7KhJ4fWC8Ln/gtmV263BNFhWcDs78Q0XEW/XyiQ4LCOQ5BbkMCJEACJKAJUDzzWSABEiABEkhMIG5lD9VmuAvv3LmzyBipmQX07OysanlHC3GUPGhsB7Orvr4+td3Ma6/LyMNfksLERUsIB8wsu7PIATPLQW3cqC4HVYzjtHE7c9De/GbToAxCOrvpQzL1ke3qOQzKcMZz8vzzz6vM4ygGWhDOZ86ckcHBwcSdEYk/JNwBCZAACZDAoidA8bzobyEvgARIgAQagwAE9Pnz50PPlJ44cUK1Z999990lL6CZBTQuGhVkzECHqYjqirW/5Xv2wrCMPLRfZt88HT3OSrdhB7lxm5FUId24XdFtGYeZwt071+xmQs//xoMyf+U1JYWz+XDgRQtauDELXWmpxkx+pWPy+yRAAiRAAs1NgOK5ue8vr44ESIAEak6gkikTYnggnDds2CCbNm0KdX6VsqBD7aRBVwozB4114NqNSnXQgjno6SPfkJGvV4izMirByj3bccUu4aRdYma5yI27KPvZMg4zBbNHSGcy0rZ6jRQ++Vkp9K6N5Kh98uRJOXXqlGrjRjt30FINN/gGfXx4WiRAAiRAAjUkQPFcQ9g8FAmQAAm0CoFSObraFOyuu+6K1H4Lbs0soFFhx58gcYxM7fb29lDV6bFvvyCXv3Y0fJyVP3oqhTZuv3O2I7RNJ/APXCsLv/376uMQJ4oKL2BQhd66dWvRCxhwRLY2Wtu5kAAJkAAJkECaBCie06TJfZEACZAACTgEkKcLx2QdzeQ3BYuDqpkFNOaZkZ2t86D9881heRXeGpLRvY/JdJQ4q6DoKU9VOshlO4Ibt+HS3fmv75Gpn//F2MLZ5OA3E4NwxsuGNPPHw3LneiRAAiRAAs1PgOK5+e8xr5AESIAE6kYAAhqC5umnn5Zdu3ZFrjYHnXgzC2i0ZqNFGzPQEM9xHbnRxj2698sy9YMfKXdrj2kYZpFLxln5cpuNdmzVhp2gjTu3bJlk7v1dkQ9sSEU462dDm4l99KMfVfngaeaO1+2DwwOTAAmQAAk0JAGK54a8LTwpEiABEmgeAhDQuVxOent7U7uo0dFRJTKbccF1TU1NSWdnpxLPSZaLzx6X9w89Ez7Oyt/GrRy8/dFSASLayJkOEtnZ9ddJx72/I4XlPepyYHoGoZvWgmcMCyvOaRHlfkiABEiABIIIUDzzuSABEiABEqg6geHhYZmZmUm1KtiMTtxoOYZYhRFWuTnoKDds8m//XsYfezLdOKtM+Dbu/K0/J7n7/71zykFRVFGux78uOhEwE57my5kk58NtSYAESIAEmpcAxXPz3lteGQmQAAk0FAGYPE1OTqZaHWwWAe2fd9Y3Dl9HlR3mV1m0W8ddzg/LO5/bK/NvvxsYZ+WNmLIrzf456DAVaF/OdOdnf08Wbv8XVRPO/rn6uHi4HQmQAAmQAAmEIUDxHIYS1yEBEiABEkiFQDUMnRa7gNbCGU7bQQIZc9AjIyOOkVjcG4E56EtffVrGv/OiG1HlE7vF89FYwRLTwdFT9td9s9Ad69ZK7tOfkey111dNOJdydI/Lh9uRAAmQAAmQQCUCFM+VCPH7JEACJEACqRJABi/EYJrGThDQelY41ZOt8s5QjZ+bm1MzwJUWXB/EddI56MlvvSAjTzwVfw46KM7KaOPO37BRlu5+yLkcRFHh+rTreqXrDPN9VJzhSg5jNS4kQAIkQAIkUCsCFM+1Is3jkAAJkAAJOASqIaCx88XkxB1HDI+Pjwsq0WHEdrnHbea112X8T59MFmcV0Ma9/Ff/jWTu+TWPcE7zJYm+x6jSUzjzBwoJkAAJkECtCVA815o4j0cCJEACJKAIQECfOXNGBgcHJZ/Pp0al0QV00jbsSm3eYUHOXhiWkYf2y+ybp62WbCO+qiiSSqVb+Vy3faZhy7/4RcndcEPVhDMq9ENDQzIwMEDhHPYmcz0SIAESIIFUCVA8p4qTOyMBEiABEohCAIIIAhqCqBUEtDYAQ0xTW1tbFFSedSHAMfObdD/Y6eThIzLy9W/GbuPuuPIKWf6fvyjzRvQUWrXTrDjjRQteimCfrDjHfmy4IQmQAAmQQEICFM8JAXJzEiABEmg2AmfPnpW33npLXdaWLVuqfnnVqig2WgUa880LCwuyfPny1JhidhyzxEnnice+/YJc/tpRKVy86Fagzcxn5+9im4dZRmJLt/6CdO3+Y8/1VEM4V6NDodRNePXVV+XcuXPq2UdkGBcSIAESIAES0AQonvkskAAJkAAJOAROnjwpjz/+uPo3xB4yeR955BH132ovELtpz7I2ihM3RC7MvpLOKgfdg7TmoAtvDcm5vY/JwtvvisBd2+fEbbZ1w3171e4/lNxHtnpOKe0M52rNxpd6lg8dOiTHjx+XNWvWqFUeffRRWb9+fbUffe6fBEiABEhgkRCgeF4kN4qnSQIkQAK1IPCpT31K7r77btm1a5egAr1792512GPHjtXi8Ko1t5kENNqrIW67uroStWlXgg+ReenSJSXOk+RBI85qdO+XZer//KhknFW+u1t6/tMeabvlxqoL57GxsVRzwctx3Ldvn6DqfPDgQdmwYYMcPXpUXnzxRTl8+DAr0JUeQH6fBEiABFqEAMVzi9xoXiYJkAAJVCKASvP27duVeNi8ebNaXQvorVu3KkFdiwUxRGhtTtqKbJ5rPSrQmG/GXHJfX19VhbO+Tm0khginJPPU2N/FZ4/L+4eeKZqD7rj1Fun9D38kC72rqiqccb/wMgDsarGg2oyq8xNPPCGbNm1ynv2dO3eqr0NMcyEBEiABEiABimc+AyRAAiRAAg6B++67T/xC+cSJE3LgwIGaiggI6M7OzlQrfrUU0KgE43jVaNOu9LgiAgumWklfPkz+7d/L+GNPSmHiomrj7vnVbbLs8w8WHT7tVm1wm5iYqFnFGS+N8Nzrjgt9gVpQP//886k+h5XuH79PAiRAAiTQuAQonhv33vDMSIAESKDmBLRQRsuqOef8wAMPqNnPPXv21Oyc0MLd3t4uvb29qR0TwgzicmpqKrV9+ndUzfnmsCeNa8SSWLyfH5ZzD++XlX/wO9J+682ew8MYDPtPKtLNnQ4PD8vMzEyqTt2VmEEkHzlyRI0maIMwCGo88+jAqOUzX+lc+X0SIAESIIH6EqB4ri9/Hp0ESIAEGo4AqnBYzFlPiGk9D1rLE4aYKhQKqVchq+XEDdEKMdkIcUrVrH6n7aiNZwrdBlj6+/tr+YiprgospkhGq/bLL7/Meeea3gkejARIgAQanwDFc+PfI54hCZAACdSUAOacUXVD5Rnzz6jCwXEb7dyYAa31Uq1qZJoCutbzzWHvAc4LlXCYsCWdg9bHrIZwrkaXQVhG6LZA5Vm/LMKLIvzbnH8Ouy+uRwIkQAIk0NwEKJ6b+/7y6kiABEggFoHTp08L3IeRd4tl27ZtyjCsXrm31ZqDTUNAV7PCG+vm+TbSjt9pVMSrIZyrYRAXlRuqz6g0Y4FRGarQeOa5kAAJkAAJkIBJgOKZzwMJkAAJkEAgAVScUYWGmNDu2/VEVS0H5tHRUTUHHWfBdhCnqOw2+pI0DxrzzStXrkz1MuFGjhivNOem454gMs7xvMNtuxa55nHPk9uRAAmQAAnUjwDFc/3Y88gkQAIkQAIRCaDKizbkdevWRdyy/OpxnLjhCJ3P5xtC+IWFgevEn6hiP21HbZwvKs6I1WqE+fCw/LgeCZAACZBAaxOgeG7t+8+rJwESIIFFR0AL6NWrVyvxmtYSVkA36nxzWA44f1TbkaGczWYrblYN4Yx2eQh4CueK+LkCCZAACZBAAxGgeG6gm8FTIQESIAESCEcAAvrMmTMyODhYUwEN4YmKM1qYwwjPcFdT+7XQao6Wc7RMlxOwaQvnubk5GRoakoGBAQrn2t92HpEESIAESCAhAYrnhAC5OQmQAAmQQH0IQIhBQKOFO80KZqkKdGrZyfXBFXhUXBNeAnR3dxd9P23hjBceqDinfb8aCCdPhQRIgARIoMkJUDw3+Q3m5ZEACZBAMxOoloAGM9OJGyITLeL1chuv5j2EMRw4opqOpRqO2tXqFKgmF+6bBEiABEiABPwEKJ75TJAACZAACSx6AtWaof3Zz36mHJhhbJVWTnIjwtZz0GinvvLKK1M9xWqZvKV6ktwZCZAACZAACYQgQPEcAhJXIQESIAESaHwCabs3Q/Rhn2hrnpmZaXwACc+wvb1dIKLTbKsGw7GxMenv7094dtycBEiABEiABOpPgOK5/veAZ0ACJEACJJASAYjd5cuXJ46PQps2BLMWfWYLd0qn2lC7MVu1wRBCWrdxxz1RzI7DXI3COS5BbkcCJEACJNBoBCieG+2O8HxIgARIgAQSEYD46+zsjD2fjO2x+EVf2CirRCdfh42DjMGGh4elUCjEFr6Yo56cnIy9fR0w8JAkQAIkQAIkUJEAxXNFRFyBBEiABEhgsRFApRjV097e3tCnDtOs8+fPl80fbjYBXc5RG9eKCnzUPG0Ib1Tt0f7NhQRIgARIgASaiQDFczPdTV4LCZAACZCAQyBK9TRKjFKzCOgwUVRR3cxLVe35WJIACZAACZBAMxCgeG6Gu8hrIAESIAESCCQQRkCjxXhqakr6+vpCU1zsAjqMcDZhoJKPWfJyUV1xqv2hgXNFEiABEiABEmgAAhTPDXATeAokQAIkoAmcOHFC1q9fr/6YC76+adMmgejhEo1AOeMqCL5cLhdrNle3NUN4L5YFxmAwAlu6dGnkU0ZVGayCWuHTMmqLfFLcgARIgARIgARqSIDiuYaweSgSIAESqETgvvvuU6scO3bMWfXkyZPy+c9/Xp544gkloLlEJwChe+nSJU91OS3Bt1icuE1H7egErS2C5qAvXLggXV1dsQR53PPgdiRAAiRAAiRQDwIUz/WgzmOSAAmQQAkCqDAfOHBADh48KJs3b1Zr7d69W/0XX+MSnwDmmkdGRpQh2JkzZ2RgYEA6Ojri79DYstEFdBrCWV+uOR+ueabFMZWbsch2grEBvDTbsGGD5zO+b98+efXVV9WLtHLt8ovscnm6JEACJLCoCVA8L+rbx5MnARJoRgL4RRrCec+ePXLq1CnZtWuX+rNjx45mvNyaXhOEH4Tz4OCg5PP5VI/dqAI6TeGsgcFI7I033lDjBRTOyR8j/dLs/vvvl507d8rx48fl0KFD7DZJjpZ7IAESIIFUCVA8p4qTOyMBEiCB5ARQecYv00ePHpWXXnpJnnvuOVafkmN19tBKArpawnloaCjVyn2Kt3fR7gqf9yNHjqiXZBDPfGG2aG8lT5wESKCJCVA8N/HN5aWRAAksTgJnz55V1adt27bJyy+/LPfcc4/6N5f0CESNYIpy5EZx4o7qqB3mGqv54iHM8Zt9HXSdnDt3Tn320XnChQRIgARIoLEIUDw31v3g2ZAACZCAIqCrz/g7KlJ02U7/wWhmAV0t4YzWdMyKp93ynv7dXXx7xOwz/A1Onz6t2uEPHz68+C6CZ0wCJEACTU6A4rnJbzAvjwRIYHESgFEQfpHG7DONwqp7DyEIYSKW9uxuvSrQ1RLOMAdbt25ddW9GC+8dM84vvvii6jRB+7aef25hJLx0EiABEmg4AhTPDXdLeEIkQAIkIMJ4qto+BYit6unpWfQCulrCeWxsLFYWdm3v4uI9mjYIQ6s2Wrb1/LP+9+K9Mp45CZAACTQXAYrn5rqfvBoSIIEmIYCqM2afzbznJrm0hr2MtHKfgy6w2k7c1TAGw3Wgej4xMUHhXMWnFu3ajzzyiOoyMb0NMLqB70FAM6qqijeAuyYBEiCBCAQoniPA4qokQAIkUAsCuurMts1a0PYeAwK6vb1dVqxYkfrBqyWgqyWc33//fZmZmaFwTv1J4A5JgARIgAQWKwGK58V653jeJEACTUsA1SZtGsSKU+1vM0QuBHRvb2/qB09bQFdLOA8PDyvhzBnn1B8B7pAESIAESGARE6B4XsQ3j6dOAiRAAq1CAC8UavkiAeKxUChUpeqaloCulnCu5suDVnleeZ0kQAIkQALNSYDiuTnvK6+KBEiABJqGAKrw+/btU9E9zSKgR0dHBW3RcRe0la9cuTLu5iW3q2bbermThWHWhg0bZNOmTalfE3dIAiRAAiRAAmkRoHhOiyT3QwIkQAIkkDoB7Tpcr/nvahpmxY2yqoajNm5cNQ3TKglnxDRh2bVrl+zYsSP154g7JAESIAESIIE0CFA8p0GR+yABEiABEkidgM69/cIXviBbtmxJff9hd9hIArpawvnChQuyfPny1KO6KjFGV8EDDzygMo3Xr18vjz/+uNx9993KdbqWXQaVzpPfJwESIAESIAEQoHjmc0ACJEACJNBwBIIcx0+cOCGvvvqqivRBFm4tl+npaRkZGamKgVbYCnS1hDNmnFetWlVz4Yz7d99996nbqFvyEc+G2CYIaUQ0cSEBEiABEiCBRiJA8dxId4PnQgIkQAIk4BDQLdsHDx4UnXmLauS5c+dUpdLMxK0FNghotDbDgTqfz6d6SAhozEBPTU0V7RfGYJhxXrp0aarHnJubEwjn/v7+ughnXIyeZ8d9xX3Gf2EOhz94WcCFBEiABEiABBqJAMVzI90NngsJkAAJkICHAIzCXnnlFdW2jXlYCCotqp9//vmat/ZCQJ85c0YGBwdTF9C4cL8Td7UctSGch4aGZGBgoObCGdVlLFoc49+7d+9WHQWsNvMHAAmQAAmQQCMToHhu5LvDcyMBEiCBFieACiREslllPnXqlBLSmImGQ3OtFwhPCGhUoDs6OlI/vBbQ1RLO1X4BUAkIhPKaNWs8QhmdBWjJP3bsWKXN+X0SIAESIAESqBsBiue6oeeBSYAESIAE4hDQRmIQWvUylaq2gEaUVTWiqKrZeh72XqKTAB0FuvUelWeYhsEoDC9FuJAACZAACZBAoxKgeG7UO8PzIgESIAES8BCA6Hr55ZfVn3o7cOsTq6fZVtTHo5qmZ1HPBfcSztpYLl26pCrRmHnmnHNUklyfBEiABEiglgQonmtJm8ciARIgARKIRcCci0ULdyOJrHrlI0cBCeE8MTEhfX19UTar6rpoyYeIRvdAPaPIqnqR3DkJkAAJkEBTEaB4bqrbyYshARIgARKoB4FGFtDVzKmuB2sekwRIgARIgATqRYDiuV7keVwSIAESIIGmIgABncvlpLe3t2GuC/FXMzMzKo6KCwmQAAmQAAmQQDICFM/J+HFrEiABEiABEnAIYAa6vb29IQT08PCwEs5wBedCAiRAAiRAAiSQnADFc3KG3AMJkAAJkAAJOAQaQbQ2kojno0ECJEACJEACzUKA4rlZ7iSvgwRIgARIoGEI1LNdGu3jqH6vWLGiYXjwREiABEiABEigGQhQPDfDXeQ1kAAJkAAJNByBehh1NbJxWcPdIJ4QCZAACZAACUQkQPEcERhXJwESIAESIIGwBGopoCGce3p6pKOjI+zpcT0SIAESIAESIIEIBCieI8DiqiRAAiRAAiQQlQAylkdGRqpq3IUZ51WrVlE4R705XJ8ESIAESIAEIhCgeI4Ai6uSAAmQAAmQQBwCENAQuAMDA5LP5+PsInCbubk5OXPmjBLmrDinhpU7IgESIAESIIFAAhTPfDBIgARIgARIgARIgARIgARIgARIoAIBimc+IiRAAiRAAiRAAiRAAiRAAiRAAiRA8cxngARIgARIgARIgARIgARIgARIgASSEWDlORk/bk0CJEACJEACJEACJEACJEACJNACBCieW+Am8xJJgARIgARIgARIgARIgARIgASSEaB4TsaPW5MACZAACZAACZAACZAACZAACbQAAYrnFrjJvEQSIAESIAESIAESIAESIAESIIFkBCiek/Hj1iRAAiRAAiRAAiRAAiRAAiRAAi1AgOK5BW4yL5EESIAESIAESIAESIAESIAESCAZAYrnZPy4NQmQAAmQAAmQAAmQAAmQAAmQQAsQoHhugZvMSyQBEiABEiABEiABEiABEiABEkhGgOI5GT9uTQIkQAIkQAIkQAIkQAIkQAIk0AIEKJ5b4CbzEkmABEiABEiABEiABEiABEiABJIRoHhOxo9bkwAJkAAJkAAJkAAJkAAJkAAJtAABiucWuMm8RBIgARIgARIgARIgARIgARIggWQEKJ6T8ePWJEACJEACJEACJEACJEACJEACLUCA4rkFbjIvkQRIgARIgARIgARIgARIgARIIBkBiudk/Lg1CZAACZAACZAACZAACZAACZBACxCgeG6Bm8xLJAESIAESIAESIAESIAESIAESSEaA4jkZP25NAiRAAiRAAiRAAiRAAiRAAiTQAgQonlvgJvMSSYAESIAESIAESIAESIAESIAEkhGgeE7Gj1uTAAmQAAmQAAmQAAmQAAmQAAm0AAGK5xa4ybxEEiABEiABEiABEiABEiABEiCBZAQonpPx49YkQAIkQAIkQAIkQAIkQAIkQAItQIDiuQVuMi+RBEiABEiABEiABEiABEiABEggGQGK52T8uDUJkAAJkAAJkAAJkAAJkAAJkEALEKB4boGbzEskARIgARIgARIgARIgARIgARJIRoDiORk/bk0CJEACJEACJEACJEACJEACJNACBCieW+Am8xJJgARIgARIgARIgARIgARIgASSEaB4TsaPW5MACZAACZAACZAACZAACZAACbQAAYrnFrjJvEQSIAESIAESIAESIAESIAESIIFkBCiek/Hj1iRAAiRAAiRAAiRAAiRAAiRAAi1AgOK5BW4yL5EESIAESIAESIAESIAESIAESCAZAYrnZPy4NQmQAAmQAAmQAAmQAAmQAAmQQAsQoHhugZvMSyQBEiABEiABEiABEiABEiABEkhGgOI5GT9uTQIkQAIkQAIkQAIkQAIkQAIk0AIEKJ5b4CbzEkmABEiABEiABEiABEiABEiABJIRoHhOxo9bkwAJkAAJkAAJkAAJkAAJkAAJtAABiucWuMm8RBIgARIgARIgARIgARIgARIggWQEKJ6T8ePWJEACJEACJEACJEACJEACJEACLUCA4rkFbjIvkQRIgARIgARIgARIgARIgARIIBkBiudk/Lg1CZAACZAACZAACZAACZAACZBACxCgeG6Bm8xLJAESIAESIAESIAESIAESIAESSEaA4jkZP25NAiRAAiRAAiRAAiRAAiRAAiTQAgQonlvgJvMSSYAESIAESIAESIAESIAESIAEkhGgeE7Gj1uTAAmQAAmQAAmQAAmQAAmQAAm0AAGK5xa4ybxEEiABEiABEiABEiABEiABEiCBZAQonpPx49YkQAIkQAIkQAIkQAIkQAIkQAItQIDiuQVuMi+RBEiABEiABEiABEiABEiABEggGQGK52T8uDUJkAAJkAAJkAAJkAAJkAAJkEALEPj/mOx4ZboGmacAAAAASUVORK5CYII=", "image/svg+xml": [ "" ], "text/html": [ "\n", " \n", "\n" ], "text/plain": [ "data: [\n", " \"surface with fields opacity, showscale, type, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, x, y, and z\",\n", " \"surface with fields showscale, type, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin and scene\"\n", "\n" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=zs,\n", " showscale=false, opacity=0.8))\n", "push!(traces, PlotlyJS.surface(x=ylim, y=ylim, z=[[0, 0] [0, 0]],\n", " showscale=false, colorscale=\"Greys\", opacity=0.3))\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=[f_x(x) for x in xs, y in ys],\n", " showscale=false))\n", "\n", "plot(traces, Layout(scene=scene))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So the way the second order partial derivative is defined is as a composition, e.g. $f_{xx} = \\frac{\\partial}{\\partial x} \\left( \\frac{\\partial}{\\partial x}\\left( f(x, y) \\right) \\right) $. As second derivatives do, it captures the [change in the [change in the [output variable]]] with respect to infinitesimal changes in the input variable. This notion coincides with the curvature of the function: a positive second derivative at a particular point indicates that the output variable is concave up at a that point, and a negative second derivative indicates the output variable is concave down at that point. \n", "\n", "In the case of the function we've chosen, $f_{xx} = 2$ and $f_{yy} = 4$ which informs us that $f$ is concave up everywhere in the domain, which makes sense from looking at the plot. \n", "\n", "However, we've omitted the \"mixed\" partial derivatives here: $f_{xy}$ and $f_{yx}$. We can compute them to both be zero for this particular function. What does that tell us? 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"image/svg+xml": [ "" ], "text/html": [ "\n", " \n", "\n" ], "text/plain": [ "data: [\n", " \"surface with fields colorscale, opacity, showscale, type, x, y, and z\",\n", " \"surface with fields showscale, type, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin and scene\"\n", "\n" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#collapse\n", "# plot partial derivative of f with respect to y, f_y\n", "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=ylim, y=ylim, z=[[0, 0] [0, 0]],\n", " showscale=false, colorscale=\"Greys\", opacity=0.3))\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=[f_y(y) for x in xs, y in ys],\n", " showscale=false))\n", "push!(traces, PlotlyJS.scatter3d(x=[-7, 4], y=[5, 5], z=[f_y(5), f_y(5)],\n", " showlegend=false, mode=\"lines\", line=attr(color=\"orange\", width=5)))\n", "\n", "p = plot(traces, Layout(scene=scene))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's clear from the graph above that infinitesimal changes in $x$ do not influence the value of $f_y$. Interpreting $f_{yx} = \\frac{\\partial}{\\partial x} \\left( \\frac{\\partial}{\\partial y}\\left( f(x, y) \\right) \\right)$ as $\\frac{\\partial}{\\partial x} f_y $, it's clear $f_{yx} = 0$. But how can we interpret that in terms of the original function f? " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "visible": true, "x": [ -10, -9.84, -9.680000000000001, -9.52, -9.36, -9.2, -9.04, -8.879999999999999, -8.72, -8.559999999999999, -8.4, -8.24, -8.08, -7.919999999999999, -7.76, -7.6, -7.44, -7.279999999999999, -7.120000000000001, -6.960000000000001, -6.8, -6.640000000000001, -6.48, -6.32, -6.16, -6, -5.84, -5.68, -5.52, -5.359999999999999, -5.2, -5.039999999999999, -4.879999999999999, -4.719999999999999, -4.56, -4.4, -4.24, -4.08, -3.92, -3.76, -3.5999999999999996, -3.4400000000000004, -3.2800000000000007, -3.120000000000001, -2.9600000000000004, -2.8, -2.64, -2.480000000000001, -2.3200000000000003, -2.1599999999999997, -2, -1.8400000000000003, -1.6799999999999997, -1.5199999999999991, -1.3599999999999994, -1.1999999999999997, -1.0399999999999991, -0.8800000000000008, -0.7200000000000006, 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gd.on(\"plotly_hover\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"hover\"); return !(filtered_data.isnil) ? (WebIO.setval({\"name\":\"hover\",\"scope\":\"16829103426640138550\",\"id\":\"7649334318714083748\",\"type\":\"observable\"},filtered_data.out)) : undefined})); gd.on(\"plotly_unhover\",(function (){return WebIO.setval({\"name\":\"hover\",\"scope\":\"16829103426640138550\",\"id\":\"7649334318714083748\",\"type\":\"observable\"},{})})); gd.on(\"plotly_selected\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"selected\"); return !(filtered_data.isnil) ? (WebIO.setval({\"name\":\"selected\",\"scope\":\"16829103426640138550\",\"id\":\"2905771234912338901\",\"type\":\"observable\"},filtered_data.out)) : undefined})); gd.on(\"plotly_deselect\",(function (){return WebIO.setval({\"name\":\"selected\",\"scope\":\"16829103426640138550\",\"id\":\"2905771234912338901\",\"type\":\"observable\"},{})})); gd.on(\"plotly_relayout\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"relayout\"); return !(filtered_data.isnil) ? (WebIO.setval({\"name\":\"relayout\",\"scope\":\"16829103426640138550\",\"id\":\"12236292883262004761\",\"type\":\"observable\"},filtered_data.out)) : undefined})); return gd.on(\"plotly_click\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"click\"); return !(filtered_data.isnil) ? (WebIO.setval({\"name\":\"click\",\"scope\":\"16829103426640138550\",\"id\":\"7421057661523889926\",\"type\":\"observable\"},filtered_data.out)) : undefined}))}));\n (WebIO.importBlock({\"data\":[{\"name\":\"Plotly\",\"type\":\"js\",\"url\":\"/assetserver/84c1e03baf09768a07465e87ed7f24a78ced8c45-plotly.min.js\"},{\"name\":null,\"type\":\"js\",\"url\":\"/assetserver/6238880510831bae0a2ff766ee5273994e8f1d86-plotly_webio.bundle.js\"}],\"type\":\"async_block\"})).then((imports) => handler.apply(this, imports));\n}\n" ], "observables": { "__gd_contents": { "id": "18251473794045398814", "sync": false, "value": {} }, "__get_gd_contents": { "id": "13644084843155021109", "sync": false, "value": "" }, "_commands": { "id": "17587172200643635907", "sync": false, "value": [] }, "_downloadImage": { "id": "15930521849012809096", "sync": false, "value": {} }, "_toImage": { "id": "5101003661009329142", "sync": false, "value": {} }, "click": { "id": "7421057661523889926", "sync": false, "value": {} }, "hover": { "id": "7649334318714083748", "sync": false, "value": {} }, "image": { "id": "5100558019497457704", "sync": true, "value": "" }, "relayout": { "id": "12236292883262004761", "sync": false, "value": {} }, "selected": { "id": "2905771234912338901", "sync": false, "value": {} } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" }, "image/png": 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type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin, scene, and sliders\"\n", "\n" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#collapse\n", "# built interactive plot\n", "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=zs,\n", " showscale=false, opacity=0.8))\n", "\n", "for x in xs[1:5:end]\n", " push!(traces, PlotlyJS.surface(x=[x, x+0.001], y=ylim, z=[[maximum(zs), minimum(zs)] [maximum(zs), minimum(zs)]],\n", " visible=false, showscale=false, colorscale=\"Greys\", opacity=0.2))\n", "\n", " push!(traces, PlotlyJS.scatter3d(x=fill(x, size(ys)), y=ys, z=[x^2 + 2y^2 for y in ys],\n", " visible=false, showlegend=false, mode=\"lines\", line=attr(color=\"red\", width=2)))\n", "\n", " push!(traces, PlotlyJS.scatter3d(x=fill(x, 2),y=[y-dy, y+dy], z=[f(x,y)-f_y(y)*dy, f(x,y)+f_y(y)*dy],\n", " visible=false, showlegend=false, mode=\"lines\", line=attr(color=\"orange\", width=5)))\n", "end\n", "\n", "layout = Layout(\n", " sliders=[attr(\n", " steps=[\n", " attr(\n", " label=round(x, digits=2),\n", " method=\"update\",\n", " args=[attr(visible=[fill(true, 1); fill(false, 3*(i-1)); fill(true, 3); fill(false, 3*(101-i))])]\n", " )\n", " for (i, x) in enumerate(xs[1:5:end])\n", " ],\n", " active = x,\n", " currentvalue_prefix=\"x = 6, y = \",\n", " # pad_t=40\n", " )],\n", " scene = scene,\n", ")\n", "\n", "p = PlotlyJS.plot(traces, layout)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is where we find the intuition. The mixed second order partial derivatives tell us how the slope along one coordinate axis changes as we move infinitesimally along an orthogonal coordinate axis. In the function we've chosen, the slice of the graph at any x coordinate is the same parabola (just vertically offset by $x^2$) and thus has the same slope for any y. The mixed second order partial derivatives could thus be said to relay information about the \"pucker\" of the graph of the function (I made that name up) which is the concavity of the graph with respect to two coordinate axes. \n", "\n", "In order to see this more clearly, let's add a mixed term to our function, to produce non-zero mixed second order partial derivatives:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "g_y (generic function with 1 method)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g(x, y) = x^2 + 2y^2 - x*y\n", "\n", "zs = [g(x, y) for x in xs, y in ys]\n", "\n", "g_x(x, y) = 2x - y\n", "g_y(x, y) = 4y - x" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "visible": true, "x": [ -10, -9.84, -9.680000000000001, 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gd.on(\"plotly_hover\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"hover\"); return !(filtered_data.isnil) ? 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(WebIO.setval({\"name\":\"relayout\",\"scope\":\"17466317739144280991\",\"id\":\"5977558554612666694\",\"type\":\"observable\"},filtered_data.out)) : undefined})); return gd.on(\"plotly_click\",(function (data){var filtered_data=WebIO.PlotlyCommands.filterEventData(gd,data,\"click\"); return !(filtered_data.isnil) ? 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"hover": { "id": "5234776015911988521", "sync": false, "value": {} }, "image": { "id": "6874275491527563537", "sync": true, "value": "" }, "relayout": { "id": "5977558554612666694", "sync": false, "value": {} }, "selected": { "id": "15394856151747850698", "sync": false, "value": {} } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" }, "image/png": 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mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"surface with fields colorscale, opacity, showscale, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\",\n", " \"scatter3d with fields line, mode, showlegend, type, visible, x, y, and z\"\n", "]\n", "\n", "layout: \"layout with fields margin, scene, and sliders\"\n", "\n" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#collapse\n", "# built interactive plot\n", "traces = GenericTrace[]\n", "\n", "push!(traces, PlotlyJS.surface(x=xs, y=ys, z=zs,\n", " showscale=false, opacity=0.8))\n", "\n", "for x in xs\n", " push!(traces, PlotlyJS.surface(x=[x, x+0.001], y=ylim, z=[[maximum(zs), minimum(zs)] [maximum(zs), minimum(zs)]],\n", " visible=false, showscale=false, colorscale=\"Greys\", opacity=0.2))\n", "\n", " push!(traces, PlotlyJS.scatter3d(x=fill(x, size(ys)), y=ys, z=[g(x, y) for y in ys],\n", " visible=false, showlegend=false, mode=\"lines\", line=attr(color=\"red\", width=2)))\n", "\n", " push!(traces, PlotlyJS.scatter3d(x=fill(x, 2),y=[y-dy, y+dy], z=[g(x,y)-g_y(x, y)*dy, g(x,y)+g_y(x, y)*dy],\n", " visible=false, showlegend=false, mode=\"lines\", line=attr(color=\"orange\", width=5)))\n", "end\n", "\n", "layout = Layout(\n", " sliders=[attr(\n", " steps=[\n", " attr(\n", " label=round(x, digits=2),\n", " method=\"update\",\n", " args=[attr(visible=[fill(true, 1); fill(false, 3*(i-1)); fill(true, 3); fill(false, 3*(101-i))])]\n", " )\n", " for (i, x) in enumerate(xs)\n", " ],\n", " active = x,\n", " currentvalue_prefix=\"x = 6, y = \",\n", " # pad_t=40\n", " )],\n", " scene = scene,\n", ")\n", "\n", "p = PlotlyJS.plot(traces, layout)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope along the y coordinate changes as we vary x. This function is \"puckered\" up. \n", "\n", "- Note: For twice-continuously differentiable functions, $f_{xy}$ = $f_{yx}$. This is called the [symmetry property of second derivatives](https://en.wikipedia.org/wiki/Symmetry_of_second_derivatives). And leads to a symmetric Hessian matrix. We'll assume that property of our functions throughout. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Hessian Matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having now built intuition for each of the entries in the Hessian Matrix, we can begin to build intuition for the matrix itself: \n", "\n", "$$ \\bold{H}_f = \\begin{bmatrix}\n", "\\frac{\\partial^2 f}{\\partial x^2} & \\frac{\\partial^2 f}{\\partial x \\partial y} \\\\\n", "\\\\\n", "\\frac{\\partial^2 f}{\\partial y \\partial x} & \\frac{\\partial^2 f}{\\partial y^2}\n", "\\end{bmatrix} = \\begin{bmatrix}\n", "f_{xx} & f_{yx} \\\\\n", "\\\\\n", "f_{xy} & f_{yy}\n", "\\end{bmatrix}$$\n", "\n", "In some sense, the Hessian is a matrix-valued function we can evaluate for any point $\\bold{v_0} = \\begin{bmatrix} x_0 \\\\ y_0 \\end{bmatrix}$ in the domain of $f$:\n", "\n", "$$ \\bold{H}_f(\\bold{v_0}) = \\begin{bmatrix}\n", "f_{xx}(\\bold{v_0}) & f_{yx}(\\bold{v_0}) \\\\\n", "\\\\\n", "f_{xy}(\\bold{v_0}) & f_{yy}(\\bold{v_0})\n", "\\end{bmatrix}$$\n", "\n", "The Hessian shows up in the quadratic approximation (second order Taylor expansion) of multivariate functions around a particular point $\\bold{v_0}$:\n", "\n", "$$ Q_f(\\bold{v_0}) = \\color{green} f(\\bold{v_0}) \\color{black} + \\color{blue} \\nabla_f(\\bold{v_0}) \\cdot (\\bold{v} - \\bold{v_0}) \\color{black} + \\color{indigo} {1 \\over 2}(\\bold{v} - \\bold{v_0})^\\intercal \\left[ \\bold{H}_f(\\bold{v_0}) \\right] (\\bold{v} - \\bold{v_0})$$\n", "\n", "And we might ask: how does this matrix scale $(\\bold{v} - \\bold{v_0})$? Let's try to build some intuition: \n", "\n", "Suppose we multiply some vector against that Hessian Matrix: \n", "\n", "$$\\begin{bmatrix}\n", "f_{xx}(\\bold{v_0}) & f_{yx}(\\bold{v_0}) \\\\\n", "\\\\\n", "f_{xy}(\\bold{v_0}) & f_{yy}(\\bold{v_0})\n", "\\end{bmatrix} \\cdot \\begin{bmatrix} x \\\\ y \\end{bmatrix} = \n", "\\begin{bmatrix} \n", "f_{xx} \\cdot x + f_{xy} \\cdot y \\\\ \n", "f_{yy} \\cdot y + f_{yx} \\cdot x \\end{bmatrix} = \n", "$$\n", "\n", "$$\n", "\\begin{bmatrix} \n", "( \\text{the rate of change of the slope in the x direction as you move in the x direction} ) ( \\text{a distance in the x direction} ) + \\\\ ( \\text{the rate of change of the slope in the x direction as you move in the y direction} ) ( \\text{a distance in the y direction} ) \\\\ \\\\\n", "( \\text{the rate of change of the slope in the y direction as you move in the y direction} ) ( \\text{a distance in the y direction} ) + \\\\( \\text{the rate of change of the slope in the y direction as you move in the x direction} ) ( \\text{a distance in the x direction} )\n", "\\end{bmatrix} = $$\n", "\n", "$$ \n", "\\begin{bmatrix} \n", "\\text{the approximate slope in the x direction at the distance x from }x_0 \\\\\n", "\\text{the approximate slope in the y direction at the distance y from }y_0\n", "\\end{bmatrix} = \n", "$$\n", "\n", "$$ \\text{what a second-order approximation of } f \\text{ suggests the gradient is at } \\bold{v_0} + \\begin{bmatrix} x \\\\ y \\end{bmatrix} $$\n", "\n", "However, let's note that the quadratic approximation of $f$ includes as [quadratic form](https://en.wikipedia.org/wiki/Quadratic_form) $(\\bold{v} - \\bold{v_0})^\\intercal \\left[ \\bold{H}_f(\\bold{v_0}) \\right] (\\bold{v} - \\bold{v_0})$, not just a matrix-vector product. Applying this second product operation results in a scalar, which is the change in the value of the function as a result of extrapolating the (second-order) curvature of the function at $\\bold{v_0}$ out towards $\\bold{v} - \\bold{v_0}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Newton Method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Newton's method for optimization is an iteration of \n", "- forming the quadratic approximation $Q_f(\\bold{v_0})$ of a function around the current point. \n", "- jumping to the min/max of the paraboloid approximation for the next iteration. \n", "\n", "This requires us to identify the min/max of the second-order approximation of $f$. Recall, the quadratic approximation (second order taylor expansion) of $f$ at a particular point $\\bold{v_0}$ is \n", "\n", "$$ Q_f(\\bold{v_0}) = \\color{green} f(\\bold{v_0}) \\color{black} + \\color{blue} \\nabla_f(\\bold{v_0}) \\cdot (\\bold{v} - \\bold{v_0}) \\color{black} + \\color{indigo} {1 \\over 2}(\\bold{v} - \\bold{v_0})^\\intercal \\left[ \\bold{H}_f(\\bold{v_0}) \\right] (\\bold{v} - \\bold{v_0})$$\n", "\n", "Searching for the extrema of this approximation, we can take $\\nabla \\left[ Q_f(v_0) \\right] = 0$. \n", "\n", "- $ \\nabla \\left[ \\color{green} f(\\bold{v_0}) \\color{black} \\right] = 0$\n", "- $ \\nabla \\left[ \\color{blue} \\nabla_f(\\bold{v_0}) \\cdot (\\bold{v} - \\bold{v_0}) \\color{black} \\right] = \\nabla_f(\\bold{v_0})$\n", "- $ \\nabla \\left[ \\color{indigo} {1 \\over 2}(\\bold{v} - \\bold{v_0})^\\intercal \\left[ \\bold{H}_f(\\bold{v_0}) \\right] (\\bold{v}- \\bold{v_0}) \\color{black} \\right] = {1 \\over 2} \\left( \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v}+ \\left[ \\bold{H}_f(\\bold{v_0}) \\right]^\\intercal \\right) \\bold{v}$ \n", "\n", "We can simplify ${1 \\over 2} \\left( \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v}+ \\left[ \\bold{H}_f(\\bold{v_0}) \\right]^\\intercal \\right) \\bold{v}$ further, because $\\left[ \\bold{H}_f(\\bold{v_0}) \\color{black} \\right] = \\left[ \\bold{H}_f(\\bold{v_0}) \\right]^\\intercal$, because of the symmetry property of second derivatives, so this expression simplifies to ${1 \\over 2} \\left( 2 \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\right) \\bold{v} = \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v}$. \n", "\n", "So all together, $\\nabla \\left[ Q_f(\\bold{v_0}) \\right] = \\color{blue} \\nabla_f(\\bold{v_0}) \\color{black} + \\color{indigo} \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v}$. \n", "\n", "Well, $\\nabla_f(\\bold{v_0}) + \\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v} = 0$ when:\n", "\n", "$$\n", "\\begin{aligned}\n", "\\left[ \\bold{H}_f(\\bold{v_0}) \\right] \\bold{v} &= -\\nabla_f(\\bold{v_0}) \\\\\n", "\\bold{v} &= - \\left[ \\bold{H}_f(\\bold{v_0}) \\right]^{-1} \\cdot \\nabla_f(\\bold{v_0})\n", "\\end{aligned}\n", "$$\n", "\n", "So $\\bold{v}$ is the vector which denotes the extremum of the quadratic approximation of $f$ around $\\bold{v_0}$. The familiar Newton method expression pops out of our above derivation: \n", "\n", "$$\\bold{v_{k+1}} = \\bold{v_k} - \\left[ \\bold{H}_f(\\bold{v_k}) \\right]^{-1} \\nabla_f(\\bold{v_k})$$\n", "\n", "And now we know that this expression which seemed to come out of nowhere $\\left[ \\bold{H}_f(\\bold{v_k}) \\right]^{-1} \\nabla_f(\\bold{v_k})$ including an inverse Hessian (!!) is really just the $\\bold{v}$ which solves $\\nabla \\left[ Q_f(v_0) \\right] = 0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "- [Khan Academy: Second-Order Partial Derivatives](https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives/partial-derivative-and-gradient-articles/a/second-partial-derivatives)\n", "- [Walter Schreiner's course notes](http://facstaff.cbu.edu/wschrein/media/M232%20Notes/M232L73.pdf): intuition for second order partial derivatives\n", "- [Khan Academy: The Hessian](https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives/quadratic-approximations/a/the-hessian)\n", "- [Khan Academy: Quadratic Approximations](https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives#quadratic-approximations)\n", "- [Kris Hauser's course notes](http://people.duke.edu/~kh269/teaching/b553/newtons_method.pdf): derivation of Newton's Method (especially page 4)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.6.0", "language": "julia", "name": "julia-1.6" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.6.0" } }, "nbformat": 4, "nbformat_minor": 4 }