{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Ještě než začnene ujistěte se že víte, jak to funguje s \n", "[importem knihoven](http://hroch.spseol.cz/~nozka/python/matplotlib/#knihovnyazvislosti).\n", "\n", "Matplotlib -- základy pro tvorbu grafů\n", "=======================================\n", "\n", "Nejprve si spojíme několik bodů\n", "-------------------------------\n", "\n", "Mám dvě řady čísel. Jedna představuje hodnoty na ose `x`, druhá představuje hodnoty na ose `y`." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Hp1DBE1pbpdraznud3nzTrDJdfbU0Zox0xx1mFap/f9uJAQBuct11\n5hfwI0cSc2WCQgXXOXKk8+W6P/9Zet/7Tk4TX7BAevhhs+qUmWk7MQDA7fr2la69Vtq+XfrYx+L/\n+BQqWNPaKtXVdV51OnTIrDq1XbL75CfNqpPfbzsxAMDL2vZRUajgWW+/3Xmv0wsvSLm5J4vT/PnS\nypVSXh6rTgCA+AuFzAzBRKBQIa5aW6X6+s7TxP/+d3PSd9tQzHnzTJHKybGdGACQLvLzpVdfNVdC\nLroovo9NoULM3nnn5KpTW3F64QWzIbytON12m/Td70qXXcaqEwDArl69pMmTpa1bpblz4/zY8X04\npKJo9OSq06l7nQ4ePLnqNHq0NGeO+Xduru3EAACcWds+KlcVqurqalVWVioSiWjPnj1asWKFhg8f\nHq9ssKCpyawynVqcXnhBuvDCk8Vp9mwzx+Oyy0zbBwDAK6ZNk773vfg/bsw/DhsbG1VZWalF/9zd\nFQ6HVVBQoP3798ctHBInGpVeeaVjcdq3T3rtNenKK09uFJ81y/x5wADbiQEAcG7kSOnoUenAASme\na0AxF6ra2lqtWLGivVDl5+errq5OR44cUTZnebhKU5OZHn5qcdq3T8rKOlmcioqkb31LuvxyVp0A\nAKnL5zOrVOGwOfg+XmL+0Tlu3DiVl5e3366srFROTg5lyqJo1Hx64fRP2L36qilKbRvFb73VFKmB\nA20nBgAg+UIhqbzcJYVKkoYNG9b+58cee0zFxcWdviYSiWjZsmXtt4PBoILBoJOnxWm2b5e++U1T\noPr0OVmcbrnF3H/55dJ559lOCQCAO4RC0te+ZhYitm+vUEVFhSSpvr5e/hinSPui0WjUabDi4mIN\nGDBAM2fO7HB/W3FqC4rE+L//k/76V7PqFO+5GgAApKK8POlXvzInc7Rx0lsc75YJh8PKy8vTtGnT\nnD4UYvSBD5h/AABA97SNTzi1UDmR4eSbq6qqlJub216mSktL4xIKAAAgkdoKVbzEvEJVV1en8ePH\nd7gvLy9Ps2bNchwKAAAgkaZOle6+WzpxIj6fbo/5IQKBgFpbW50nAAAASLKLLjLbZSorpYkTnT+e\no0t+AAAAXhXPy34UKgAAkJYoVAAAAA5Nniz98Y/SsWPOH4tCBQAA0lJ2tpnhuHOn88eiUAEAgLQV\nr8t+FCoAAJC2KFQAAAAOTZwo1dRIkYizx6FQAQCAtNWnjylV27c7exwKFQAASGvxuOxHoQIAAGmN\nQgUAAODQuHHSwYNSc3Psj0GhAgAAaS0zUwoGnW1Mp1ABAIC0FwpJ//hH7N9PoQIAAGmPQgUAAODQ\nFVdI0Wjs30+hAgAAac/nk/z+2L+fQgUAACApJyf276VQAQAAiEIFAADg2Pnnx/69FCoAAACHKFQA\nAAAOUagAAAAcolABAAA4RKECAABwiEIFAADgEIUKAADAIQoVAACAQxQqAAAAhyhUAAAADlGoAAAA\nHKJQAQAAOEShAgAAcIhCBQAA4BCFCgAAwCEKFQAAgEMUKgAAAIcoVAAAAA5RqAAAAByiUAEAADjk\nqFDV1dVp1apVCofDWrVqlRobGzt9TSQScfIUsKiiosJ2BDjA6+dtvH7exWvnbbH2FkeFas6cObr/\n/vsVCoW0ePFiLVq0KG7BYB9vCt7G6+dtvH7exWvnbUkvVFVVVcrNzW2/3b9/f5WXl8f6cAAAAJ7V\nK9ZvrKurk9/v73Bfbm6unn/+eY0ZM0aStH//fr355psKBoOOQsKO+vp6ftPyMF4/b+P18y5eO+96\n/vnn1draGtP3xlyoGhoazvk1AwcO1DvvvKP6+vr2+/x+f6ciBnfidfI2Xj9v4/XzLl47b4lEIu2X\n+VpbW5WdnR3T48RcqAYMGNDpOuPpJau6ujrWhwcAAPCMmPdQBQKBM65StV3uAwAASBcxF6qxY8d2\nuF1XV6eCggLHgQAAALzG0diE4uJirVq1SmVlZXrsscdUXFwcr1wAkDbO9Mtod+b8wR3O9Po9+OCD\nysjIUG5ursaPH88WmDTgi0ajUdsh4D51dXUqKyvTuHHjVFVVpcWLF6t///62Y6EbHnzwQa1atUp+\nv1+BQEDFxcWdVpThDuFwWLW1tbrnnns6fbJo/PjxqqyslCQ1NjZq0aJFeuqpp2zExFl09foVFxef\ncTYj3KW6ulqVlZWKRCLas2ePVqxYoeHDh0uK4edgNIkeeOCBqM/ni+bk5ETz8/OjVVVVyXx69EB+\nfn77nyORSHT27NkW06AnHnvsMdsR0EM+n6/D7T/96U/RgoKCDvfl5OQkMxJ64PTXLxrlv0MviEQi\nHV6n8vLyaF5eXvvtnv4cTOpZfiNGjFBra6saGhpUWVnJb80uxdBWwK6u5vzBO8rKyhQOh7VkyRIu\n2bpQbW2tVqxY0X47Pz9fdXV1OnLkSEw/B2Mem4DU1Z2hrXC3srIy+f1+bdmyRUuXLuVyrcd0Z84f\n3G38+PHtiwa5ubkKhULtl3DhDuPGjetQkiorK5WTk6Ps7OyYfg4mvVDxRu9+vJl7G2/k3tedOX9w\nt1OvwIwdO1ZVVVU6cuRIzEMjkRjDhg1r//OpH66L5b+3pBYq3ui9gTdzb+ON3PuY8+dtbRuYT//5\nxn+D7lVcXKy5c+dq5syZkmL7Oei4UBUXF6u2tvasf19QUKBQKCSJN3qv4M3cu3gjTw3M+fO2vLw8\nLV26tP12eXm5Zs+ebTERuhIOh5WXl6dp06a13xfLz0HHhaq7Hwvljd47eDP3Lt7IvaW6ulpbtmyR\nz+fTkiVLOvwC2jbnLxAIaM+ePcz5c6GzvX79+/eX3+9vf81qa2t5/VyqbfN528+90tJSzZo1K6af\ng0mbQ9XY2Kjy8nIVFRVJMm/0xcXFevLJJ5Px9Oih6upqlZeXt7+Zf+1rX6P8ekQ4HFZdXZ0k80bO\nawcAndXV1WnEiBEd7svLy9PLL78sqec/B5M62JM3egAAkIqYlA4AAOBQUgd7AgAApCIKFQAAgEMU\nKgAAAIcoVAAAAA5RqAAAAByiUAEAADj0/wGYkJKvj0GeOQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x=[-1,5,10,18,20]\n", "y=[ 2,3,15,8,1]\n", "plot(x,y,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Funkci plot můžeme předat další parametr, který určuje:\n", "\n", "* styl čáry: `- -- -. :`\n", "* barvu: `b g r c m y k w`\n", "* styl vykreslení bodu: `. , o v ^ < > s p h H * d D _ | + x`\n", "* [chci vědět víc](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,y,'g<')" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HS8uXm04BoJhMnCgtXGg6xdExQgUAAOAQhQrAsPzqV9I3v2k6BYBi1NUlffaz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\nSg16nVpaWjIVFRUDxyP9HMz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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,y,'b+:')" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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m42coVACMsSxLkyfPMx0DQJh4PBQqAACAoKSnr1Bn5+9l237TUUKOQgUAAMLC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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,y,'r*', markersize=15)\n", "plot(x,y,'y--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Příklad s exponenciální funkcí\n", "-------------------------------\n", "\n", "Nejprve vytvoříme hodnoty na hodnoty pro osu x:..." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x=linspace(-10,2,200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... a poté pro osu y:..." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [], "source": [ "y=exp(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...závyslot si můžeme vykreslit:..." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UxxxjOhnyGYUJAJD39uyRHnlE+vWvpaeekq69Vvrd76TPftZ0MhQKChMAIC/1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\nf9d2cVoo9wWfAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Můžeme si zobrazit mřížku, popsat osy a upravit rozsah os:..." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-1, 10)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gpr78ZWnHDul//oeGq1hwetGAXTh3ZGdDfjbkZ0N+7kaa3W23SbfeKv3859Kp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\nAU0XAABACGi6AAAAQkDTBQAAEIL/A1MP+ZJiVs0rAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,y)\n", "grid(True)\n", "\n", "xlabel('x')\n", "ylabel('y')\n", "\n", "xlim( [-11,3] )\n", "ylim( [-1,10] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Příklad s funkcí sinus, f=50 Hz\n", "--------------------------------\n", "\n", "Nejpve si vytvoříme časovou osu:.." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f=50\n", "t=linspace(0,0.08,200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... vypočítáme hodnoty napětí:.." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [], "source": [ "u=1.2*cos(2*pi*f*t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... a proudu:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [], "source": [ "i=0.7*sin(2*pi*f*t-pi/4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... a vyneseme do grafu:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6+xxXfOQp9k9z03ea/WZlsOVW5eLhjx/GRw9+hK2zto7RO8A7AH/e/Gc8OO9B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0OGeJ+z5o32NpmAESNyvNJZ80Z7i0IKh40gCIIgCMKboZQoQRAEQRAEJ7w6JUoQBEEQBOHNSOGw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\nG0EQBEEQhM4hh40gCIIgCELn/H/DdFly/wpQLgAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(t,u,t,i)\n", "grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vypočítáme výkon:.." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [], "source": [ "p=u*i" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vyneseme vše do grafu, popíšeme osy, uděláme nadpis a legendu:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Q6GuewIcfBni++UZR1FyLsX8/d20OV06iooDf/U7dl/vUfKx01v0LJFdebryR\n7gBV+/EyezbwzDNdn/OVk7NngS+/FD4muVL7sfLMM+yNZmJQ7SDQl9/8BhgxQuooiBQ0GuDSSwN/\n/YQJ/i/tkMi1bRvwxhvB7cMwwLp1goRDFCAqKvAbhY4fB156ia05Jerz978D99wjTl9UE0hIGBiG\nLd4dM0bqSIiYdu1i/91+e+D7tLUBv/41UF4O6HTCxUbkZc8ewGoFcnOljoQoGdUEiqyxUeoIiJhC\nnSLoxAmgoIC9lZ+ox6hRwQ0AAaBvX6CqigaAanPqFH0+kMAcPAisXClun6odBPpbO7ilBZg6VZ2/\nuGo8O9rcDCQnszd7cPGXk5gYYP36rtPIqIUajxWg54JttealJ2rNy5VXsmeAufSUk2+/BZ59lv+Y\n5E6tx8rRo+zMFGJS7SDQn0GD2JtD1PiHXY3i4tj3m5b7Ij1pb2e/MDQ3h97G558D773HX0wkciUm\n0t3CanL11cAjj4jbJ9UEEsKDDRvYSaanTpU6EiK0xsauk0IH6/vv2UHkhAn8xUTkp6MDyMpiB/yD\nB0sdDVE6qgnkmdPpRHFxsd+Erl/P3gVIIldjIzs1TLh696Yzx2oRzgAQYC8P0gAw8kVFsas9XHBB\n+G2dPRt+G0TeHnkE2L2be1ttbS0aGhr8lrGFSrWDQAAoLi72jK65NDay1+jVRG1nRzdsAKqr/b8m\nkJxccw37rV9N1HasHDsGNDX1/LpA86K2azBqO14A4Kqr/M8PGUhOOjrY2Qd+/pm/uOROjcfK9Om+\nv2BmZGRg+PDh0Gq1vPdLs5z5cffdUkdAhDZzptQREKVYs4a9lPvXv4bf1tmzQGoq8MUXQGxs+O0R\neTl7ll0mjo9VYqKigI0b6TiJdJMmSdMv1QQSwpN9+9jF3/2tI0uI2/797Dd/ta8kEok2bmQ/C2pq\npI6EKEFHR883JlJNoES+/x4oKZE6CiKEpUuBw4f5a2/YMCA/n7/2SGS75BIaAEaqa64BPv2U3zaP\nHAF++onfNon0Dh0Cxo2TrjxEtYPAQAssBw8Gxo4VOBgZUdPZ0ZaWwJZ9CzQnvXqpq+BfTcfKxo2A\nwxHYa4PJy4kT6in6V9PxArA3i/UkmJxUVLDTC6mBmo6VCy8ELBbpvhCqdhAYqMGDgVtukToKIoTH\nHwfOP5//dn1NOk2Uy2YD6uv5b/e224DvvuO/XSKdxkbgwAH+233mGaphjlR83EEeKtnXBGZlZaEm\nwMIKu92+hwTPAAAgAElEQVQOk8mElJQUWK1W5OfnI5ajmpZqAolQGAa4/HL2rmMhBpgksrS3A9HR\nUkdB+PTOO+ysEvPnSx0JkTv3lYBAbvoRatwi27uDLRYL6uvrYbFYAt4nNzcXdXV1AIC0tDTk5eWh\nsrIy7FiamoC77gJqa6mGJ1I88gjw/PP8r+Oq0QBff03rw5LA0AAw8syaJVzbu3axaxFffbVwfRDx\nbNgAvP028Oab0sUg28vBBoMB+UFU2VutVug6/eWNjY2F2Wz2+fpgJl2MiwNefjnglyuaGs6OMgxw\n/fVAoFMuBZsTtQwA1XCsAOwNRIHWAwLB56WhQR0F/2o5XoIRbE5++IH9F+nUcqxMmQL897/SxiDb\nQWCw7Ha710SKOp0OW7ZsCbttjYa9OYTOAkYGjQa4915h1wpuamLnCSORoV8/4dp+/XVg0ybh2ifi\nWb8e2LlTuPanT2c/u0jkkHpcETGDwKZApvLvJJSZt9vbg95FcfytoKJWoeQkO5u9dBPJ1HKszJ3L\n3sEXqGDz8qc/qWPNaTUcL3Z7cNNOqSEnoVBDXg4fBn78UeooZFwTGKz4+HivS7z+BoaNjY2YM2cO\nhg8fDoAdFI4bN86r+NL9ePXqWvz618DBgxno3dt7Oz1WxuPrrsvAlCnAs8/Wolcv4fp79tna/y3z\nJK+fnx7TY3os3OP77xe+v61bgeXLazFhgvQ/Lz0O/fGmTUBbWwaeftr3693/39DQgJ07d2Lo0KHg\nm+zvDo6KikJHAHNu2Gw25OXleW4MAdjLwVwDwYyMDDidzqAvFbe0AIMGBbWL4tTW1noOxEjU3g5s\n28ZOzhmoSM9JqNSQlz/8gb2J6LLLAt8nlLzU1QExMeyd5ZFKDcdLsELJydatwO7dwIwZwsQkB3Ss\neOMaIPIhitfWRGK3272eS05O9npNVlYWr/1G+gBQDaKjgxsAhuO774CTJ8XpiwgjI0OcqX5++AHY\nu1f4fohwPvxQnNrOq6+O7AEgEZdszwTabDbU1NRg4cKFWLBgAbKysmAwGACwU8HodDosWbLEax+z\n2Qy9Xo9NmzbhqaeewiCOkVs4I+qffmInkCbKxDDiFeLefz9QVASMHi1Of4QQ6axcyS4d2e18BCFe\ntm8HXC52lopACXUmULaDwJ5YLBbPoDBYoSbz7Fn2cs2WLeylG6Isra3AmDFs8TbNz0YIUaoNG9h1\n7QsKpI6EhMJiYdeCDuZOb7oczLNg5gl069WLrcWI5AEg3weYnMTEAFZr8APASM5JOCI9L7NnAzt2\nBL9fqHlZuZJdni5SRfrxEopQczJ0KHDFFfzGIieRfqwYDPKZ6keRg0CbzYa0tDRJ+pZ6Th8Snvh4\ncfv79FMghO8bRAaeeAL43+QBojhzhr3aQJSnvBz4/HPx+ktMBG68Ubz+SORS7OXgcIRzWvXsWfY0\nvFg3FxD+nDgBDBggbp9PP82eURoxQtx+CSHi+fZb9gaixESpIyFyt2ULW5I0fXpw+9HlYJk4exZ4\n+GF1TBwdSdrbgaQkdiAopr/8hQaASqS+r8YkHNdeK/4AcNky9SxnGkk0GmFXqwqWjEIRVyg1gQC7\nfNT69ZF7Y0Gk1mJERwONjaGdCYzUnIQrkvNy222hT/cRTl5eew345puQd5e1SD5eQhVOTlJTgZtv\n5i8WOYnkY+Xqq4E775Q6inNUOwgk6iPVwP2VV2i+QKV56y12vXCxJSSIX7dKwrNkCfD22+L3e9ll\ndJWBhI9qAkPQ2gps3AhMnsxfTERYDQ3ApZdKcxr+b38D8vPFmXSYECKuvXvZ8gExbyIiyrRzJ7Bi\nBbsSUbCoJlBGfvlFmm9+JHR33w0cPSpN3089RQNAJTl9WuoIiJJcdpl0A8BXXgFefFGavknwYmLY\nuWrlRLWDwMbGRhQXF4c0qh48GHj9df5jkoNIrcX45htgyJDQ9o3UnIQrUvMydy5QXR36/uHm5ckn\n2WXkIk2kHi/hCDcnOTnAAw/wE4ucROqxcvHFwC23BL9fbW0tGhoaQr6XwZ9evLeoEDExMSguLpY6\nDKICJ0+ydwn/9a9SR0IC8cYb0t79f8cd7GTARP7ef5+dMuwvf5Gm/1C/2BJlycjIwHCBTjdTTWCI\nDh4E6uqA22/nJyYinK1b2YJ7jmWkRcEwwEsvsVML9VLt1y5CIs+JE+xk8BddJG0cYq6JTkJz4ADw\n3HPA0qWh7U81gTJz8iRb5Enk79//BhwO6frXaID582kAqAQuF9UEksANGCD9ALCggD0jSeRt0CB2\n4QC5Ue0gMNxr64mJbO1OpInEWowlS9i5mUIViTnhQyTm5Y03gJKS8NoINy8Mw64t2tISXhxyE2nH\nC8OEP6k4HzkpLQVmzgy7GVmJtGMFAAYOBCZMkDoKb6odBBIipv37I/NLQ6R57DF2qT8paTTA4sXA\needJGwfx78svgWnTpI4CiI2V1woURFmoJjAMmzax047cemv4MRFhbNnCnobX66WN45dfgNWrgbvu\nkjYOQgg/GAY4fly6WuPO2tqA3r1pMChX7e3AjTcCn38O9OkTWhtUEyhDDAN0dEgdBfFn0yZgxw6p\nowD696cBoNw5nezSgoQEQqORxwAQAK67Dti9W+ooiD+vvBL6AFBIqh0E8jHfzjXXsGuMRpJIq8XI\nywOmTg2vjUjLCV8iLS91deHXAwL85OXnn4Hk5PBrzuQk0o4XPpaC5CsnmzYBo0bx0pQsRNqxEh3N\n/j7LkWoHgYSIbd064M9/ljoK4ktmJvDyy1JHwYqPBz7+WOooiC9NTcDIkfIZpNPMAyRUVBMYprfe\nYj8Mrr027KYIz3buBA4fBv73dkvu8GHgp5+AsWOljoQQEq72dvYMjxwwDHDkCE0yLlfTprETiocz\nSwXVBMrU0KHyqQshXR07BuzbJ3UU5wwdSgNAuWprA9avlzoKb1RzLF9yGQACwKlTwK9+Je1KN8Q3\noxG4/HKpo+Cm2kEgX2vwZWUBV1zBS1OyEEm1GL/6FXD//eG3E0k54VMk5eWnn4Dycn7a4isvn3/O\nLiEXKSLpeDlyhJ8BOl85Oe88oL5eXgPTcETSsQKwJwD69pU6Cm6qHQS2traiuLg44g42Im9lZcC7\n70odBenukkvY0g45+dWvAJNJ6igIl5wcYM8eqaMgSsDXl4WGhgbeTl51RjWBPJg/HygqonoMOTl6\nlP0DOm+e1JF0tXcvEBPDFv4TQghfTp5kJ6UfOVLqSEhnv/89MGYMMHdueO1QTaCM3XQT0K+f1FGQ\nztra5HPnXmeXXUYDQDlatQpobZU6Cm8dHWy9FyE92bWLZh+Qo7IyYNYsqaPwTbWDQD5Pq95yC6DV\n8tacpCLl8vjFFwMPPshPW5GSE75FUl6qqoCzZ/lpi8+8PPss8O9/89acpCLleNm3D3C5+GmLz5yM\nGye/koZQRcqxArDT98h5CUjVDgIJkcqttwLbtkkdBens9dfl+UXu+efZy0lEPv7zH3YJSEJ60tbG\n35dLoVBNIA9aWoA5c4Bly3hpjvCguJj94xkbK3Uk3g4cAIYMoQleCSH82rePHXRIvVY6YVVVAStX\nAm+8EX5bQtUE0p8hHgwcCDz0EFuDptFIHQ1hGCAuDhgwQOpIuF10kdQRkM7WrmXLB+RaUN/czB7L\nclx3lMiLxcL+lwaB8pCTA2RnSx2Ff6q9HMxnTaBGwy45FQkDwEioxdBogMce4+9MmxA5iYTz75Fw\nrACAw8FOLM4XvvNy993ADz/w2qQkIuF4OXSIvQGDL3zn5IEH2H9KFwnHiluUzEdZMg+PkMjT2sqe\nDaTVIOTht78Frr9e6ih8W71avovPq8133wHV1VJHQZTAvZSf3FFNIE/WrGFn+H/hBd6aJCFasoS9\nU+6666SOxLfjx9kyAkII4VNtLbs8pU4ndSTq1tTEfrncuZOfq4Q0T6DMpaQAeXlSR0EAdo3GwYOl\njsI/GgDKw3ffAStWSB2Ff+3t/F6CJJFt9Wrg8GGpoyA6Hft7K/cyMb9VUyaTCXa7PaSGExMTMX36\n9JD2FQPfy6+cfz77T+lqa2s93ziUiu/whcpJW5t815MMRCQcK6dPsyst8InvvJw5A9xzD1BXJ//6\nIn+UfrycPctOKj5tGn9tCpGTSLgapfRjRUn8DgJrampQWFgYdKMMw6C0tFTWg0D32sEZGRmKP9hc\np1w4+stRJGgTEB0VISuIR7hly9jaIinXEf7lzC9gGAYD+sj0NmoRpKWx/+SsXz/AapWm71NnT2HD\nvg04v//5GHX+KPTrpd6lkVwu4MMP+R0EksjlcADDhvHzRd+9drBWgMlM/dYEGo1G5IV4jTOcfYUm\n1LX1J58ErrkGmDGD12Z92n1sN55Y8wTWOtZiSMwQbMrbBN156i4EMZuB7duBRx+VOhL/2tvZszpS\nXir4aOdH+O3y3+KJ65/A/Ovmo3/v/tIFQ2RlXcM6lG8ux6e7P8UVF1yBlrYW1DfVY8NvNiB1WKrU\n4RE/Tp1i100Xa6myM+1n8MEPH2DWVbOg6faBduL0Cfxy5hdcMOACcYKRkdxc4Kmn2Pp0PkhSE5iX\nl4elS5eG1LBcB4BCmj+fXQ1CaGfaz6DQXIjrX7seN1x6A449eQz1j9arfgAIsHO9/epXUkfRs+ho\n8QaAjS2N6GC8b0W+8/I78c1vv8GWw1sw8uWR+GTXJ+IEJBO//MJOKq4ETU3Ajh3i9edwOjDh0gnY\n9fAufP3br/HDQz/AVeTC1UOvFi8IEpJevYB168SZfWD3sd244T834O3v3saJMye8tq/cvRLpxnRs\nPrhZ+GBkprKSvwGgkHqsMHnyySexdu1aMWIRFd81gQB76re/CCdTVtevxtbDW/H9Q9/jyV89ib69\nfJ9vXrZjGU6c9v7l9EXp8zNdeimQyvOJCqFycvIkOxARku2QDenGdGw6sIlz+4j4EajMqcT7M97H\n3E/mBjUQVPqxcuYMu3IL34TIy9atwNtv896sT3PGzcGD6Q9iSMy5BPXt1Re9okKffFPpx8vKlcBP\nP/HbphA56dULqKgQvn60pr4G418fj/vG3odVs1Yhpk+M12tyx+TiHzf9Aze/czP+u+W/Abet9GNF\nSXo8TBISEpCQkACTyQSTyQSLe0pyIpnbRt6GlfeuxNCYoX5fxzAMVvy4AplvZeJ423GRoiOBeuQR\n4NNPhWv/6/1f4+Z3bsYrt7yCay++1u9rb7j0Bqy4ZwW+3PelcAHJTGws8OCDUkcRmEmTgL/+Veoo\n1G3TJuBE4N+nI9r2o9sxa9ksmHJNePiah70uA3c2/YrpWDdnHZ7+/GnVXG3Yt49dHlQJepwn0OFw\nICEhwfPY5XLBbDYDALRaLQwGg7ARCkCoa+sMA4wYAXz7LRAfz2vTIWMYBr9Z/hswDIM37nxD6nAE\n1dwMzJ4NLF8udSSBEXKZwSOtRzCufBxeu/013DpChBoFokqrdq/Cit0r8Motr/gdCBBx/fgjOz2J\nUDex3PfhfchMyMTscbMD3uebxm9w+3u349u53yIhLqHnHRTs9dfZKw0FBfy1KdS4JazJol0uFwoL\nC9Hc3IyCggJMnjyZz9gEI1QyAXb5KZ1OXnMDnTh9AikVKfhTxp8w88qZUocjmFOngC1b5D1JtBgY\nhsHt79+OKwdfiRcMETBfhEBKStibuBITpY4kMFu2ABdcwP/a0980foPT7adx42U3Br3v8bbjmPCf\nCfhN8m/w6LUyvxtLRb77Dti8Wbgl5No72kOaieLLvV/i2ouvRZ9oWgg7WLKaLNpisWDevHlISEhA\nRUUFmpubUV9fz2tgQhOiJhBgzwDKaQAIAAP6DMC709/FI6sewV7nXr+vVXItRr9+wgwAhcoJw7DT\nCPC9Zk/r6VZcFnsZns94nt+Gu1HysQKwg79Bg/hvV6i8rFnDnuHh08+//Izcqly4TrlC2n9g34Ew\n5Zrwp3V/iujPlo0bga++4r9doXIydqywawiHOhXZhMsmBDQAVPKxojQ9DgIXLlwI4NzAT6fTISsr\nC3a7HSUlJWhubsaaNWtUeTewL+3t/LZXsr4EGw9sDKuN1GGp+MdN/8DZjrM8RUX4cNdd7PxjfBrY\ndyBeufUV+rbdgxkz2DNrSvHkk2xtIJ+eXvs07rj8DkwbFfp1w0RdIh679jE8+lnkngl0OtlyE0J6\n0tICbNggdRSB6/FycFSnW4wyMzORk5ODnJwcQSYtFIuQl4Pr6tipYtav56e9TQc2Ydp707DtwW2q\nnGspGLNnA7//vTJuy1eCn3/5GQ98/ACqc6r93oFOlGnbkW0wvGnAzod3hj29VNvZNoxdMhZlWWW4\nfdTtPEVIwlFZCVxxBXDVVVJHoi67dgGvvgq89BK/7Up2OTghIQFVVVVYs2YN8vPzodPpugwMSVfJ\nyewC3nxgGAYPr3oYZVllNAAMwNNPszfmEH7EnxeP9o52GK1GqUPh3ccfS7taSygYBnj/fX7KBxiG\nwRNrnsDTNz7Ny/yifXv1xbvT38VVg2nEIRfRPC4etfXwVhw6foi/Bv8njFsSZGvUKP4HgELqcTRX\nVFSE7OxsZGZmYsaMGcjOzsamTZs8U8a0tLSIESfvhKoJjI5m52niw6e7P8XJMycxa6xIU79D2bUY\nI0YAAwRYAU3InJw4AezcKVjzYdFoNPjL5L/ghfUv4OQZ7wV2lXysjBwJjB4tTNtC5UWjAWpq+Jlb\n8qcT7IR3D6bxN0dO6rBUv3d9KvV4OXoUeOUVYdoWMifZ2fycBexgOjBr2Sx80/hN+I110tLWgute\nu45z+jKlHitK1OMgkKvWz2AweAaGc+fORXp6esgri0Si9nb2TtVwMAyD4nXFeG7ic4jS0JnXSLVz\nJ1BaGn47Gw9sxJ6mPeE31E3KhSm45qJrsKRuCe9tS+mKK5RZNvDaa/x80RkSMwRr7luD3tG9w28s\nwp09y98XeyVatmMZYvrE4M7L7+S13UF9B2FU/CiUfVXGa7tS+/RTti5QKXocXbi6Va27XC4YjUZM\nmTIFcXFxMJvNSE1N7TKXoFIUFxcL8o2jsJCdJygcP534CYlxibjrirv4CaqbAy0H8NHOj7yed9cd\nKI3RCPztb8K0LWROUlPDP1baO9rx2+W/xY6jwqwr9nzG8yj9qtRr5RmlHitCo7xwU2peLrwQmDdP\nmLaFzEl7O/CHP4RXPsAwDP725d/w1ISnBJkH8tmJz+Lfdf9G6+nWLs8r9VgBgBUrgNOn+W2ztrYW\nDQ0NglzB7HEQuGjRIrS0tHQZ+BUWFkKv16OmpgZNTU1YsmSJ4iaN1mq1KC4uFuRgKy0FHnoovDaG\nxAzB+zPeF+ws4KmzpzB3+VyvXz6luuceYO5cqaOQRvX2agzsMxC3jbxNkPbHDhmL+8behwZngyDt\ni+3gQWGnzxDS/v3s8mWE9CQ6GkhIYCctDtXq+tU403FGsM+WJF0SJg2fhKXWyLmS+OqrwPnn89tm\nRkYGhg8fLsgNuT2OMEpKSqDVaiNi4NeZUDWBgPBrNvIhUZeIGy+7EW9ufbPL80qtxYiJAQYPFqZt\noXOyezfQ2Bj6/i9++yIWjF8g6IoNpVmlGDN4TJfnlHqsDBok7CBQyLy0trLHi9zt+nkXVu9Z3eU5\npR4vpaXA4cPCtC10Tn73O6BPGDNFLVq/CAtvWChoSdKC8Qvwz2/+iTPt50arSj1WlCigu4M3b94c\nEQM/Mf30E9DRIXUU/s2/bj5e+vYldDAyDzTCffIJO7VQKDYe2IjDrYdpWo4gxMQANwa/OIYsXHEF\nOwVVqNo7eJ7E1IfmU83IX5GP0+08XxeTgE4HnHee1FFIY+ntS5E7JlfQPtIvSsddl9+Fw60CjbRF\ntHEju7KPkvQ4T2B1dTVmzJghVjyiEHKeQLerrmJn+L/wQsG6CBvDMEgzpuHPk/6s6PVlDxwAbrmF\nXSpJbe7/8H5cPeRqPDH+CalDITK3/eh2zPloDr6d+60o6/xmvJGBh9IfEnwQQXyzWtk5ax+N3Hm8\nZWXZMnblqlsF+HMqyTyBCxcuDHkA+OCD/E09oETbtoU2ABTzrJxGo8H8a+fjX9/+S7Q+hTBsGPD5\n51JHIY2SzBLkp+ZLHYaizJ6tjEuqvqxaFdoXnr9//XdMGzlNlAEgAMxLm4fyzeWi9EW4nX8+e/aY\niGP6dGEGgELye+P7nj17UFYW2u3bx44dC2k/sQhZExiq1tOtSClPga3AhgF9BJjwjsPMK2diUsK5\ntahqa2sVd2eWRsOu2SwUoXPCMOwdZVOnBl9PeuFA8U81dzAdiNJEKfJYAYDHHgMuuki49oXOy4kT\nwU9B1XyyGabtJux5lP9phHy56/K78Nhnj+HHYz9iZPxIRR4vy5ezv5933CFM+0Ln5NJL2X9Ko8Rj\nRan8DgJLSkpC/tbIxyVku90Ok8mElJQUWK1W5OfnIzY21u8+hYWFKCsrg1arhV6vh9FoRHJyctix\nBKutDThyJLhfwHe+ewdXDr5StAEgAPSJ7oOLB10sWn9CaG/nd3Z8sWk0wAcfsHVqPRzekjvbcRZX\nvnol1s1ZJ3UoIUtJkTqC8ITy0fre9+/h5qSbcX5/nm9b9KNvr76YM24OjFYjyrKUORfcxRfLv7ab\nyMOxY2x995w5UkcSnB5rAqWUlpaGuv9VzLtcLuTl5aGystLvPkajkXOC687EqAncuBH45z+B994L\n7PUMw+DqJVfjHzf9A5n6TMHiikQTJrC5TkuTOhJ1yPskD8Njh+OPN/5R6lBIgFIrUrHIsAhZiVmi\n9vvzLz9DAw3i+wt4qp749eKL7HKmEycG9nrbIRuio6IxdshYYQPzgWEY0UoW+NTYyK7X/PjjwrQv\n2drBUrFardDpzq1pGRsbC7PZLGFEwbnmmsAHgADw1f6v0NbeBkMC3X0drLVr2Q85Io4H0x7EUttS\nRd5V/vrr7BcGJevoAJ57LvAzVMfbjiMxLhGTEyYLGxiH8/ufTwNAiY0fz84XGKjnap9D3cEQpysI\nU31TPca/Pl6RawpffLFwA0AhyXYQaLfbvSZG1Ol02BLA/dcmkwkWiwVFRUVeK564ya0m8M3v3sQD\n4x6Q/BuQEudn6t1b2MvBYuTk4MHAb245euIoahtqBY3Hn+ShyRjQewBeqRRoQVUB3XEHkJMjbB9C\nHy9RUew0N4GuSjCw70BU5lQiOkramgmlfbb89BM7z56QxMjJNdcEXpbU2NKI9fvWY+aYmcIG5YM+\nTo9jvxzDq1WvStK/Gsl2ENjU1BTSfmlpacjOzobBYMDMmTMlndewsZGtCwzEidMncO9V9wobUA/W\n71uP5pPNksYQrLa2yKjZ+fln4NtvA3vtW9+9hTe2vCFoPP5oNBrcN/Y+1NhrJIshVPHx7Dd2pVuw\ngJ2KgginXz/gNmEWypCtN7a8gbuvvFvUuvTONBoNfpv8W3y6+1NJ+g/HK6+wXxyURrbLYsfHx3ud\nrQtkYNj5JpDk5GRYrVa0tLRg0KBBXV7X2tqKOXPmYPjw4QDYZeTGjRvndd09nMfvvANMmZKBnJye\nXz9XNxd2mx2XZlzKW//BPl781WJMuHGCZP2H8njPngxs3QpkZwvXX0ZGhuA/T1NTLa67DgB6fv1/\nt/4Xc2LndLmDTuz86116fHb6M7jJ5XiQw2MxjhelPnaTSzw9Pb7lFnnFE8rjtjYgI6MWf/sbMGmS\n79czDIN3t7+L125/TdJ4Z4+bjb+89Rd8WvMpbs26VfT+Q328axfQuze/7bv/v6GhATt37sTQoUPB\nN9neGGKz2ZCXl+e5MQRgLwf7Gwi67yDuvE9UVBQ6up0q8vXBpHYb9m3A3E/mYvtD2yW/LB2Mjg5l\nLNXHhy2Ht+DO9++E/TG7oEs5RaKjR9lJxUNdnUVObDZ2ZQKlrIHcwXRgrWMtDAkGRX22RAqzGZg0\nyX/ZzNbDW3HnB3fC/qhd8vfotndvwz1X3oNZY2dJGoecCDVuke1fke7TutjtdmRlZXV53F1iYiIW\nLlzoeWw2m5HjowBIbjWBcjD+kvE4vus4Nh7YKHUoQRF6ACjWlwWLBfjxR/+v+e/W/+K+q++TxQBQ\naV+idDp2Rn+hiZGXgQOFWytbKLP+MQvbftomdRgBe+wxYOdOYfsQ63coM7PnuulLYi/BO9PfkXwA\nCACpbanY69ordRiqENJfkrKyMuh0OkRFRSE+Ph5Lly7lOy4A7HQvZWVlMJlMqKiogNFo9GwrKirC\nvHnzurw+NjYWWq0WRqMRRqMRZrO5yz5iYxigtpb9rxJoNBpk6jPx/g/vSx1KwGQ+J3lQ9u8H/FU8\ntHe0471t7+G+sfeJF1QEiY5W5sS5XJKS2MnF/Xlv23uo2FwhTkA9iNJEwZBgwLvb3pU6lIDl5rKr\nEamF7jwdxl8yXuowAACTEibhqQlPSR1GwMxmYOVKqaMITdCXg41GI2pqalBQUICEhATY7XZUVFRg\nypQpmDt3rlBxcrJYLCHd+CHm5eCpU9mJgGNiBO+KFz/89ANufudm7J2/VxZnm/xpbQVGjwb27mUn\nXI50p9tP45NdnyB7dLbUoRAFyHorCwWpBZgxWh5rv3935DtMe28aHI85ZP/ZEmlWrmTXEX7mGakj\niUzffgucOQPccINwfcjmcnB9fT0qKythMBig1+uRmZmJyspKNDcr665Ssaxc6XsA2NjSiEdXyWtl\n7zGDx6AkswTtHe1Sh9KjmBhg3z51DAABdnUXGgCG7s47gS+/lDoK/rz0ElsbyOWnEz9h04FNuHWE\nfBYyvWrwVRjYZyC+2v+V1KGoTloaMIvK6wRz7bXCDgCFFPQgMD09nfP5FJHXYrLZbEgLY4kIOdQE\nfrjjQ7S0tUgdRhe1tbW496p70Tu6t9ShyIZYdTtnzihrImN3Xh5d9SiOnjgqbTABePttds40oYl1\nvIwZw9Y5cjFtN+GWEbegf+/+osQSiHXr1uHeq+5VxCXhykp2pQ2hiXWsDBkC6PWidMULpdUbK1nQ\ngzBIYRYAACAASURBVEBfd+d2HlQJVSPYWXJyco/rCMvBoUPApk3c25btXIbpV0wXN6AIcugQcOqU\n1FHwp1cvdp6ps2eljiQ4R04cwce7PpY6jB7FxAB9+0odBX8yM4HLLuPeVrm9UrIJf/25b+x9ilgW\n88Yb1TNHoPOUE2c7FPahIyOtrcD8+VJHEbqgawJzc3NhtVqh7/S1wm63d3m8efNmHJNxxb6YNYHr\n1wNffAE81a3G9eiJo0h6OQmHnziM83qfJ3gckeihh4Bbb1XPh7VcffD9B3hj6xtYNWuV1KH41NHB\nlg2ooXTAecqJkS+PxL7f70O/XjSjNGHNmcN+ZnY/G/7QyoeQGJeIJ8Y/IUlc/hw6fghLrUvxzET5\nFjMePw6sWAHcc4+w/Qg1bgl6smi73Y6SkhLOtf00Gg0YhkFFhTzuSJODG27grhVYvms5bkq8iQaA\nYXhVJSsLdTAdONtxFn2i+0gdCqdbR9yKvE/y4DzlhLaftucdJPDOO2w9YCR9NB0/DjzyCPDGG12f\n1/bTYu/8vTQAJF088wxw4YVdn+tgOvDxro/x+ewA16wUmbafFou/Xox5afNwwYALpA6H08CBwg8A\nhRT05eBFixYhOzsbM2bM8Prnfr6kpESIWHkldU3gx7s+luWl4M7fMs60n1HkQt58E7M+ZdMmYPny\nrs992/gtJr4xUbQYAuXOy8C+A5ExPAMrflwhbUB+/PrXwL/+JU5fYh0vAwYA06ZxT0Elxy+XSqnz\nOnWKLfQX46NPzJwkJgL9u5WI1h2sQ2zfWIyMHylaHIFw5+W83uchU5+pyGXklCLoQWBmZs/1HN0n\nela72lrg4MGuz709/W3cefmdksQTqBvfuBGbD22WOgxOLhc7NUykiYrynvy6ekc1piROkSagAGVf\nkY0Pd34odRg+aTSRt9ZuVBSQna2OS9xi6tULeO01deT1o50fyf7v0B2j7pB1zfELLwBbt0odRehU\nO1mTViveZauNG4HDh7s+N6jvIFlernHXHQDADZfegE9+/ES6YPyw2YDSUnH66pwToaWmdq1xZBgG\nH+38CNMvl99Z4855yRmTg6XThL8hLFRtbeL1JebxoiTd8yLXqwy9egFXXilOX2IeK42NwPXXd33u\nw50fynIQ2DkvU0dMhcVhwckzJ6ULyI/rrmPvvlYq1Q4CnU4niouLRTkd/+STgMgz6PBi2shpWL5r\nec8vlEBGBvB//yd1FMLb8fMOnGk/g7FDxkodil/9e/dH3HlxUofBqb0dGDpU3IGgWEwmQMJFkUK2\n4+gOTPrvJKnDUJULL2SnvnFrPd2KsUPGIm1Y6FOtiSG+fzzGDR0Hi8MidSicJk1iP1+EVFtbi4aG\nBkHK2FQ7CASA4uJi+tbeTedB8fhLxmOfax/2u/ZLF5AMiF3LtHgxcOAA+/8rflyBaaOmyWI9z+6U\nUuMVHQ38/LN408OImZfkZHY6E4Ct4f1sz2ei9R2sznkZET8CPxz9AXud8qvpePhh4FORStDEPFai\no4FLLjn3OKZPDD6Y8YEsV2/pnpfXbn8NGcMzJIlFDjIyMjB8+HBBrmDK792PQCdOsHcnKk2vqF64\ndcStsiz4r6sDTp+WOgphXHjhubrA5lPNuOvyu6QNKAJER0sdgTD0emDUKPb/v9j7BZ79/FlpAwpQ\nr6heuG3kbfho50dSh+Ll2WeVu/pDpErSJSGmj/zWXl23TryyJKGodhAoZk1gVBTwzTfs/3//0/f4\n5cwvovUdrO5nRqdfPh0HWw9yv1hCTz8N/CJSGsU+Wzxr1rmpHF4wvCDbyXWVcha9pYW9JCwWqfKy\n/MfluGPUHZL0HYjueblj1B1YsVt+XzAHDwYGDRKnL7GPldJSYNEiUbsMiVI+W0aMAAwGqaMIj2oH\ngWI67zzg5ZfZQug73r8Du4/tljqkgN11xV3486Q/Sx2Gl88+A0Qcx5MAnTxzUnbH95//zN7tGalm\nzgQaGxks37Uct4+6XepwAmZIMOCbxm/QerpV6lBUY9484PHHpY4icgwbxt7Mp2S8DALNZjOioqJg\nsVhgMplg87WquYxIMU/grmO7cLr9tKyL/JVS5yUmsXOydy/w17+K2mVIuPJSd7AOM6vltVxZWRmQ\nlydef2IfLwsWAAfOboMGGlw5WKTbWkPQPS8D+w7E5ITJ+O7Id9IExMFiAe6+W7z+xD5WBg0C+shz\nzvku6O+QeHgZBOr1eixatAgGgwHZ2dmiXmpVio0bgVdWr8TUEVNlWeSvJHv2AA6H1FEIZ+BAYKS8\n5m4N2PWXXI+9rr040HJA6lC6iORfubQ0YO3+lZg6UnmfLR/N/AjjLxkvdRgeEycCr7widRTCajtz\nBr9b+Tu0d4hYI8GT1tOtOHH6hNRheNx6K1vzr2RBrx0cCcRcO9jNbAYe/24S/jr1cUwbNU20fiPR\nm2+ys/nPni11JITLvaZ7MWn4JOSlinj6zYe2NsDpVPY8XoFYtXsVBg8YjNRhCr82RQQ3OP0LXPjA\n77H1IXkuBODPfR/ehwmXTkB+ar7UoYBhgC++YO/OF+O7l1DjFqoJFEn6DS442uowOWGy1KEo3v33\nR/4A8P3v38e2I9ukDiMkU0dMxcrdK6UOAwDw44+Rf6zU1QHLSm+hASAP1HBK5L4/fYrbr7hV6jBC\nclPiTVi1Z5XUYQBgB34TJyr/KkMvfxtNJhPsdntIDScmJmL6dPmtcuAmdk2gq82FP074Iwb0GSBq\nv8Gqra3lvDNry+EtOHj8IG4docwPj3D4yomQnlj+Zyy8/A1cJd9fIZ95uTnpZjz06UM4dfaU5Kvi\nXHUVexORmMQ+XkaNYieklzspfo+CNXIkO+3HsGHi9CdFTmoaPkX5beWi9hksX3m5KfEmPPzpwzjd\nfhp9ohVQ3KgAfgeBNTU1KCwsDLpRhmFQWloq60Gg2C6NvRR9NhahdRwQI7/pjnp06PghLFq/SPJB\n4Nmz7B/1zkurRZr9rv04gSMwjFbgMjNgZ/h/5JpH0HSyCcMGivTXVMUGDmT/kfBt2cLO5hCpGlsa\ncfD4QYy74BqpQwnJBQMuwMj4kdiwbwMmJUi74sw//8lOJzRrlqRhhM3vIDA1NRUJCQkhNZwq8/um\npbp5pa1N3oNAX99KJw6fiNzqXLhOuRDbL1bcoDpxudilssQcBIr9TX11/WrcMioLV1wu7xmO/eXl\nL5P/Il4gftjtwEUXibdaCKCcOc7E5i8vH+74EJMSJkHbT9qbCgeIfKFG7GNl1e5VGNP3Jsy+P7rL\nEnJy4y8vt4y4Bav2rJJ8EJiTc25SfyXz+yPkBTGvgsvlCnlftXj8cSA+XuooQtO/d3+Mv2Q81jrW\nShpHfDzwn/9IGoLgPtvzGW5OvFnqMCLCE08A9fVSRyG8xx8Hlstzme+AvGZ7Dav3rJY0hrNnI78m\nMHt0Nv7z67/hgw+kjiR0t4+8Hb2i/J6/EsXFF4tXNiAk3saxRoWtYt7Y2Iji4mKaj6gbf/m4OfFm\nfFYv37VJhSLmMXK24ywsDgsMw6cgO1vclS6CpYTfnQ8/BEaPFrdPMfPy703/hnGzEU88If+VC/x+\ntiTdjDX2NeIFw2HxYuC558TtU+zfId15OujjL5P9zQz+8pI6LBV/M/xNvGBkoLa2Fg0NDYLcyxD2\nILChoQFlZWUh1Q5KKSYmBsXFxaKejt+5E3j9ddG6493NSTdj9Z7VkHJWoS++APbvl6x7wTEMg/ey\n38PF2gvxm98AHR1SR0TkrGp7FYbEDMFFF4l/KZNPWfosrKlfI+lnS2Eh8MwzknUvqlOnInftdTHs\n3w9kZYnXX0ZGBoYPHy5IGVtIg8CWlhYYjUakpaVBr9fjhRdeCLl2UCpi1QT+cuYX3GO6BwzDoE8f\n+X9Q+xsUX37+5Vg8ZTE6GOlGJnV1wOHD4vYp5heF3tG9cXMSeyl46lSgd2/Rug6a3GvfjhwB9u0T\nv1+x8nK87Tg2HdykmGmn/OVlZPxIRGmisOvYLvEC6kajEf/3TarfoZwc4KuvJOk6IHL/bBkyBHj1\nVamj4EdQg0CTyYTc3FxotVoUFBTA6XSipqYGTU1NeFIJcxRI4Iu9X+BAywFoNBro9ew6n0ql0Wgw\nY/QMREdJd8PC448D6emSdU+CcLr9NOZ8NEeylQnWrwfefluSrkWxbu86pA9LR0yfGBw/zk5votSa\nNo1GgymJU7CmXppLwgyj/JUfgrF8OSDzcZas9ekDjBghdRT86HEQaLPZMG/ePERFRSEnJwdOpxNV\nVVXo6OhAQUEBDP8rRMnPl34G72CINU/gmvo1mJI4RZS++KCEOi+xSZWT1auBkhJJug5IT3npE90H\nGw9shPWQVZyAusnOBp56Svx+xTpezHYzMvWZANgpYuT+q9tTXvJT8pE8NFmcYLpxOqVZqlGsY6Xt\nbBtOnT3leazkmkDCrx4Hge+//z4++OAD5Ofno7m5GWvWrEF2drYYsUWE1fWrcVPiTZ7HS5YA25S5\nEITkDhwAVqyQOgrxXHUVME3hKwzelHQTVtdLe9dnpFq3dx2y9OcKk4YNk/8fd3/SL0rHhMsmSNJ3\nXBzQ2ChJ16L45MdPkFuV63nc0cGWSyjZl3u/xMc7P5ak73vvZevTI0GPg8CSkhI0NzdjxowZeOGF\nF1BWVoaGhgYRQhOWGDWBjS2NONx6GCkXnpv095JL5F0XKOdaDKcT2LNH/H7Fykn3Wsthw8S/szUY\ngeTlpsSbJLvE9+WX0txdLdbxsuE3G7p8tgDyvhws588WQJoBtFg5qbHXdKkdbWyU9xfMQPJy7OQx\nvFonTWHeSy8BaWmSdM27gGsCMzMzsWjRIixYsACbN29GUVERampq0NLSAgBYtmyZYEEq1Zr6NcjU\nZ3apoZs6FdDrJQyKJ1LcxTdmDDB/vujdioJhGIx5dQz2uSS4k0FAN152I2yHbTjedlzUfs+eBZ5/\nXtlnxnrSv3f/Lp8t//d/wMKFEgakYM3NwJkzUkchDIZhsKZ+TZezxpdeCmzcKGFQPMgYnoGv9n+F\ntrNtovd9wQVA//6idyuIkO4Ozs7OxqJFi1BZWYkPPvgARUVFipscWoyawHuuvAcv3vSi4P3wKZBa\nDOshK25+Rz2TGYtRn2JvtqOlrQWXDLqky/Nz5wJbtwrefUgCyUv/3v2RNiwNX+77UviAOunVCzCb\npZnRX6p6pgceAP78Z0m6Doic67wWLgQ++kj8fsXISX1zPU63n8boC2R8WaGbQPKi7afF6AtG4+vG\nr4UPKIKF9RGp1WqRl5eHRYsWyX6ZOCmc1/s8XDjwwi7PHTvGrmKgZJeffzk27Nsg+tmd//yHzV8k\nMtvNMCQYoOl26ur3vwcSEyUKiiev3f4aJl42UeowIl7//vKeUkjOlixhp02JRO6zgN0/W5qbgZ9/\nligonhgSDDDbzaL2+cknwP33i9qloHj7nqy0yaKlWjs4JgZISen5dVIJpBajf+/+SL8oHV/sFbcy\ndv/+yK3bMTvO3enZ2Zgx8l1rOtC86OP0GNBH3ELYbduAvXtF7dJDytq3jg751gUGmpdnPn8Gy3cp\neA28IIhxrLS0teD2Ubd7PV9ezq6oI0eB5iVTnyn6IPDWW4F//UvULgXldxC4MIgCE0O3NYsefPDB\n0CKKcH37ArNmSR1F+AwJBlgcFlH7fPZZQKcTtUtRtHe0Y61jLQwJMl/3S0G+/BL47jupoxBGfVM9\nXKdcnNvGjlX+Wsnavlp8tke85SlPnhR/AnoxFd1QhOlXTPd+vghQWBWXl/GXjMdfJ/9V1D6jowGJ\nziEJwu8qzHv27EFZWVlIDR+T+XU799rBGRkZsr9rTUy1tbUB5cOQYMCDK9Ux0A80J6Ha69qLUfGj\ncNGgi7y27dnDXhL+5BPBug+Z0HkJx0MPSde30Hl5ZNUjeGDcA8gZ4339cvNm9oumHAWal8kJk7HU\ntlT4gP7n++/Z+Tirq0Xr0kPOv0NSCjQv/Xr1g0Ev7pfnjg7xa43dawcLcQXT7yCwpOT/2TvvsKiu\n9I9/hw4WpNgbxV4RUOwgWGMPxhhjuhpTdrO/ZE1MNsVs4kbjpu6mmmwSUzT2bizI2LACdlERUewK\nUqTDnN8fL4PDMO3ee24ZzOd5fJK5M/fc4+u9577nrQtqxRE4yqRJk0SdpxTG3sFyUGGoQF5JHgJ8\nAix+//vvdBM5cwxK75a9kV2cjbtld1HfQ35/5f79QEGBsv0alSLELwRJz1ju4dS6NfDxxwpP6E80\nS3llOfZc2oOfJ/5s8XutKoBC6NmsJ24W3sTVgqto0aCF7Nfr3VsdBVBtGKOks54963YWPW9CQ4F9\n+4BmzZS7prF3sBzomJodu1XCuMOQKzMrKSsJL2x6AanPplr8/sQJUgK1XAPOEQzMABedMluivXuB\n/Hxg1ChFLvcnMlBQWoAGng3kv04BuYMfeED2SymOvbUFIPemt7eCk5KB+GXxeLDTg3i0Rx2IndEw\ngweTl8HXV+2ZOA/FxYCXl/KKs1x6iwoFFOo+CRkJNuO7unVzfgUQgGIKIAAMGPCnAujMMMbQ7j/t\ncDlf/rYMOTlUHqYusuPCjhpFf83R64GJE5Wbj1zEBsUqVlbo3DmgVPlSc5pg164/FUCheHvXLcvp\nfasEylkncPuF7U4b5K/lWl5qobZM3nsPWLRI1SlYRIhcdDodBrUZhMQLifJNqIq2bdV1oct5vyRm\nJmJI0BCr3w8eDGzeLNvlJSFELk/3ehr/feC/8k3GhL//HbikUo12Oe+VU7dOYdO5TbKNLydi5GLe\ncUkOysq0m30vlvtWCZSLwrJCJF9NttsDc/Jkclv9iX0MBuAf/6h7D5+jzJpFvSqdHTUyyusaHQI6\nYFAb62uLi0vdsFJ4u3vDzcVmyDo31q4F2rdX5FKKsvTEUrvW1OxsIC1NoQnJyLKTyzB93XTZr/Px\nx9SJqC5x3yqBctUJ3HNpD3o172U3WWLWLG0WdtViplpZGRAYqN7LTU6ZbDi7AUXlRTZ/07ixNvtN\nC5VLbHAsdlzYIXvLwc2bgWvXZL2ETeS8X74a/RV8vWz774qKKG5Ja2hxbVEbOWXiSNmplBRgyRLZ\npiAaoXIJaxaGree3yr62zJkDvPWWrJdQnPtWCZSL/NJ8TO4y2e7vYmMpuNTZyS/Nx55Le2S9hpcX\nlUmpaxSVF2HKiimq9GFWgw4BHVDJKnH+jryF7FJTKYnofuWFF4AtW9SehXNw/bp6RcXl5G7ZXRy9\ncRT9W/e3+bthw+qGZau9f3u46FxwJvuM7NdydbX/G2eCmxL43XfK1XXigVwxgQ91fQh/ifqLLGMr\ngdBYjNtFt/HQ8ofqtCIjV9zO3kt7EdYszG43DYMBaNVKe8HrQuWi0+kwpdsUXMqTNwDrjTeAjh1l\nvYRN1I4h/eEHYMIEVadgEbXlYomkJHUtYXLJZPfF3YhsEQkfdx9ZxpcbMWvL0JChSMiQL9yEsboZ\nwmU36GLWrFmYNWsWwsLCkJqaarU9XHJyMqZPl98nX1fYuZMyGLXc8N0RQvxC4OXmhVO3TqFrk66y\nXOPnnylmp29fWYZXjcTMRAwJth7kb8TFBThyBPDwUGBSMvPR8I/UnsKfOBFX8q/A290b/t7ytAp6\nsHYjjTpBwoUEmwlEphw8CLRr5/zdmOKC47Di9Aq80OcFWcbPyaGWr3XNcmxXCWSMVXf/yM7ORqNG\njfDss89WW350Oh0YY/jwww/lnSlnFOkdfPQo/YmMJNOEiR25SxeK9dIaYmJUjAH/DiuBe/cCBw5Q\ntezWre3+vFkzdcsYyBW3k5iZWLPlUUICyea552rdHIGBskxBEorEeDEGbN1KJpuXX7Z7I6Sn05+R\nI+WfmjUUkYvBAGzbRi1CXnqpRtCowQBcueLQo6UoYuTyVuJbiGge4fiLvbCQKvmePw889ZTmd05y\n3StjO4y914GotJQ0l+vXgbt3gREjaryLli+nVqZaUgJFvYdC4jB/73wwxhxrcpGVBZw9CzRsSH/5\n0FCbPw8IADIzBU9L+zAB5ObmsoyMDIvfpaSkCBlKVaKjo1l0dLS8F9m9m7HAQMbi4xkLCWGsQQPG\nVq6U95oqseT4EjZuyTjHfvz994w1acLY448z5u/PWHQ0Y8nJss5Pi+SX5LN68+qxorIixoqKGPvr\nXxlr2ZKxp54iubz2GmM5OTXOMRhUmqxaJCczFhfHWPv2jE2bxlirVoytX2/zlMOH6Rara/xy9Be2\n99Je+vDxx4y1bctYeDhj48cz1rMnYybrcl4eY1261I375eejP7P43+Pt/7C8nNbaevUYGzCAsUGD\nGBs1ip4tGyQmMlZRwWeumiQvj7FOnRgLDWVs4EC6MWbNqhs3hwUMjv69MjIYa96c3j8REfSuXrhQ\n1rlJRS69RZASWFeIjo5mPXv2lO8CO3cy1rgxY1u33ju2fz8dy8yU77ocSExMFHzOjbs3mO8Hvqy8\nstz6jyorGfv73xlr146xtDQ6VlLC2H/+w1iHDnYXazURIxN73Lh7g322/zPGsrMZ69yZsSlT6P8Z\nY+ziRcYeeYSxkSOrF+uffmLs2We5T0MScsilmuPHGQsIYOzLLxkrK6NjO3bQhurtt+W7LgfkkEu/\n7/qx7ee3M7Z6NSnFxo2TwcDYp58y1rQpaTQaRoxcLuddZgELAlilodL2D997jzYMhYX0uayMsUcf\npZd8fr7FU8rKGBs+nJYmtZD1GTIYGJs4kbHnnrt3LC+PNg/vvCPfdTkgq1xu32asY0d69xi5eJGx\nZs0Y27LF5mnGpUgN/lQCORIdHc1CQ0PZO++8w+1mu1N8h31x8AvGUlNJ2UtIqP2jBQtol1pOytKs\nWYzt28fl8twQK49/6v/J7hTfsf6DH36gxef27drfTZpEli8LZGQw9u67oqbEDVkXpJdfZmz69NrH\nS0tJOVy9mjHGWHFx9W2jGWSTi8HAWGxszUXayI0bpByePSvPtTnAWy4FpQVkNb51jazFen3tH/3x\nB1k2jEqQBhErl47/6chSr6Va/8GBA+RdyMqqebyykrGZM+le0qjlS9a1ZcECxqKiaLNtyvXrtBn/\n4gvGGOmFpvYKLSCbXIqL6R08e3bt73bupPsoPd3iqTNnMrZqlTzTskdiYiJr27atLMar+1YJ5K1R\nr01by4YuHkrumc8/t/yjykrGhg5lbO5cxhgZxKxsUusWZWVkwdm50/L316/Tw3f4cK2vbtyw6wF0\nXi5cINfv1auWv09IILefhl/sYjAYDOyLg19YtxyvWMFYt27Wtd5588j1Z4H//pexggJOE9UIm89t\nZoN/GEy7xhkzrP8wPr7apZWdzdi1awpNUGae3/g8+yjpI8tf3r1LltFlyyx/X1FBVh9Lm/K6jF5P\nli1zxdjI+fOMNWrE2JUr7OrVmsbCOs3bb5N11Jr594svbK89KiKXJfDPOoGcSMxMxEOsC7B/P/DM\nM5Z/5OICLF4MfPEFcPYsOnYEGjRQdp6q8PPPQFAQ9bSyRNOmwEcfAU8/TZWhTWjSBBgzRv4pqsLb\nb1NRt+bNLX8fGwtERQEffAAAqKykoH9nR6fT4evDX+Pw1cO1vywqAl55Bfj8c8DNSt7a3/5GKY1J\nSbW+unZNm0XYpZCYmYgnCkKBdesAWwl4774LLFwIFBRg6VJg2TLl5ignEztNRD13K2WU3nmHygY8\n9JDl711dqcLvvHm1vjp6tO5lelbz9tvAJ59QbSlLhIQA06YB//0vmjcHvvxS2empQnEx8NVXtJ66\nWFF9nnsOaNQIWLNG2bmpCXe10gmQIyYw7OswdiN+FFkp7PHqq4y98grX6/OCuxm+rIyx4GBKlLGF\nwcBYTAxjv/zC9/ockMU1ceQIxXHZMwVnZZH78/x51rs3Y0eP8p+KWKTI5W9//I29v/P92l/MncvY\nQw/ZH+Cnnxjr10+Tbj7e90vvb3uz3F5dGFuyxP6PH3mEsfctyFUDcH+OCgvJkn7xou3flZUx1qZN\nrdibL75gbMMGvlMSCm+ZrEtbx/79zRMUNmAvgC09ndYWDZrOpcglKy+LHbx8sPYX337L2Jgx9gf4\n/XfGBg+ucaiwkLErV0RPiQt/WgI1TE5xDsrOn0PjxAPA88/bP2HmTGDxYlw8U4Jhw+Sfn6r8+COl\n3g8caPt3Oh3twn74ocbh114DMjLkm55qvP468Oab9k3BrVqRhfTbb5GUBPToocz05CY2KBaJmYk1\nD5aUkAVw/nz7A0ybRjv7tWvlmaCG+Crkr2h4IxeYNMn+j+fOBT79FJCpGL6mWL6crIBt2tj+nbs7\n8OqrtayBzz8PjB4t4/xUYFvGNsRuSgOefda+STw0FIiJAX74AYcOAadOKTJF2Tl6/SjmJMypeZAx\nsow60npq4kQqMXTsWPWh48fJQVEn4a5WOgG8NepVp1axNcPakIXPUYYNY+WLf2XnznGbhvaoqKCY\ntr17Hft9SQntTC9cqD60eTNjubmyzE41Zi+azCoC/Cn5wxGOH6edfR2qZZFbnMvq/6s+Kyk3CVpf\nsYKxIUMcH+SnnxgbO7b64/btmk+QFcfs2VYTpyzy5JOMvf8+S0nRZGgTP/r3Z2zNGsd+W1REMXJH\njsg7J5Xp9+/OrNy3geMBoUlJjAUHs59/rGB//CHv3JQirySP1ZtXjxWXF987uHkzlVJy1HPw3nuW\nE/ZURNOWwO3bt8PFxQUJCQlYuXIlUlNTeQzrNPRwb4XRB+5QrJKjPPss3L77Bu3ayTcvpUnPScfs\nbbPvHdi1i4pw9rfdv7IaT09g6tQa1sCRI9UtFM2bnOIceK1YA8THO17Itls3oGlTsB2JuHtX3vkp\nha+XLzoFdsKBKwfuHfzlF7LwOcqECdR6JycHAIX5OFIj1qmoqKCY2qeecvycGTOA337DP/4B3L4t\n39RU5cQJqtzrqCnP25vW508/BUC9pTdskG96anCr8BYG6y/AZdRoqrDvCP36Ac2aYVq91Rgxr4Ed\nEwAAIABJREFUQt75KUVDz4bo2qQr9l/ef+/gxx+TFdDRBWLGDGDFiuq1pS7DRQkMCQnB/PnzERcX\nh/j4eG7dODIyMrBw4UIkJCRg4cKFyMvL43YOz97BobtPwG3oMOsB/pYYN46qlWvMBi+ll2Vjn8b4\n+vDXKK2oanK7bBkwebKwQZ55hpTAykrR8+ANz/6eOzN34onTnnCd+qiwEx9/HLc/Xozx47lNRTJS\n5fL+kPfRskFVV4PsbCAx0TGXp5GGDYHhw4GVKwEAQ4YA0dGSpsQFrv1g//gDCA4W1gy5b18gPx+b\nFp50WBdQAq5yWbSIwiSsJQ9ZYto0Sq4pK8OdO7R/UBuua8uFRPzlsCtcXnxR2In/93+aywyRKpfY\nYJNwk7Q08udOmeL4AE2bUkbi//5XPYTWerfzgpsS+Oqrr1Z/Dg4O5jEsJk+ejNmzZyMuLg4zZ87E\njBkzZDlHMqtWCW9C6e4OPP00DjzzLb7+Wp5pKY2vly86B3amHVhFBcnFWtaeNXr2pJZpO3Zg82bg\nP/+RZ65qcWrXSjQp0tmPkTTnkUcQuG8dEtbWEVMggBHtRiDUv6pV07JlZPZt2FDYIFOnAr/9xn9y\nWuGHH4RZAQEyiU6eXHfSg6v48ciPSL2WSrGgv/xivQqDNVq2BDp0ABIT0bYtJVLXJW5tXA73+r6O\ne16MjBkDlpyMHz/KRlU3WKdnSNAQ7Liwgz6sWEHPg6ensEFeeIE2G6CQ0qtXOU9SI2g2MSQlJQX+\nJs0MfX19sX37dm7ncOsdXFBAW0oxEcYzZqD32V/w+NQKPnPhgNRelkOCh9AObNcuSmqw04/RIk8/\nDfzvf+jWTRuWHZ79PQPWbsXdiaNr9O50iCZNoBs4EFi9mttcpMK17+kvvwCPPSb8vFGjgKNHUZx+\nBW+9xW86UuAlF8Otm9RP+uGHhZ88eTIqlizD8WPaeatLlUva7TSsObOGnoHevanslFDi46stx1qA\n5zM0K6sJ/J56TnhMhLc3dEOHwm3LBs1Yu6TKZUDrARgeMpw+rFkDUS6UqCjqRX3mDNatI4N8XcSm\nLX3lypXIEJmaGRoaigeFWsdMyMjIqKWo+fv748iRIwgLC+N2jmQ2bSKrjhilMigILm1aw+fYfuGW\nIY0yJGgIPtjzAeYeuCHcCmhk6lTgjTfQ+tsCtG5ddwop3rp7E8MOZqPxO38VN8Djj6Pi60UoffAx\n1LNSNs0pOX8eSE8n165QvLyACROgW/Y7Wrd+mf/cVGTVO5PRc0AntBdqHQWAPn1QkV+EHZ+fQPfv\nuvOfnAoMCRqCebvn4d0/0oSHmRiJjweiorBxzFcI7+0qKIJH0zAG3foNcN+0Sdz5EyZg2qpVgNcT\nfOelEvU86uGt6LeAy5eBCxeAQYOED6LTAWPHUgjB7Nn2f++k2FQCt23bhtdee03woIwxfPjhh5KU\nwBwRAZlCzuEWE7hypXBXsCmjRwMbN2pGCdTr9ZJ2YQPbDMSRrMNgq9Kgs1DM1yH8/IA+fYAdO8Tt\n4DgjVSZGAk5nolHD1nDrEyVugHHjUPr4LOxceg0PPKP+24uXXPDrr2TtElvleepUeM2Zg5mHtaEE\n8pJLy8TDYLPfEXeyTgevxybjJa9lALShBEqVy4A2A3D0cjLYNk/oqhI8BBMcDLRqhdz1u3G3s/i5\n8ILbM3T8OHkXunQRd/7o0cCLL1Kxdh8f6fORCDe5rFsHPPCA+LVl7FiU/nM+rj00W5Th2RmwqQRG\nRESIju+LiIgQdZ6RgICAWoqaPSVPyDm3bt3Ck08+iaCqf9lGjRohLCys+sYzBqba+pyTew3DN6xC\n/f/+16HfW/o8eNRopMU8i6yYEfD0FH4+789GpIx3vNsX0Pv+C7qsLMRUuYOFjpfYrj32z/ger4wa\nDw8P9eTB9fOXXyLm0ccAnU78eGPj8IDbVuj1bVX/+xw5coTPeOvXQ//oo4DJwi/o/CFDoL9wAfjl\nF8RUZRdr4t9bwufVq5fAM70QveOnix+vXTvEfPQR8M9/Ql+VBeHs98u0uyEoaFGKlDNngDNnxI0X\nH4+WyZ/jyhWgfXv15GGK5PE+/xwIC0NMlStY8PnHjqGoRSiafbgN4XPHq37/HzlyhM94a9YAM2eK\nPz82Fi6THsGn767DhCcaqnJ/6PV6ZGZmIi0tDc3kyPSyV0MmJSWFe10aR0hJSWERERE1jvn5+XE5\nh1e9nZ2fv8KOdw6QNkhFBasMCGSGTDtV752JWbMY++ADSUNUHj/Jipu20WRHCNG0b8+Y1Odp0SLq\nClFHqLx5gxV4u7KCgmxJ45zu/zS79KqVnt1OyK4vXmNHukhcWwwGVtwimGXvSOUzKQ2w85H+LOHR\nAdIGOX2asRYtrPePdUb69mVs61ZJQ1x4+XOWEfMkpwlpgNxcxho0sN+VyR4TJjC2eDGfOUlAtTqB\nc+bMsfcTWejVq1eNzxkZGRhm0l7DUqyivXN447Z2PW6PlJi54OoKl1Ejodu0kc+k1IYxMsFLcZED\ncOnaGV6eoNz8usDFi9TFoWdPScMYhg5H5ZZtdaOJMACXHYk40tEXe68fkjROyeBh8E/exmlW6lOx\neSPyYvpJG0SnQ0rLcSheuZnPpDRA36M5CJn6gqQxzrp0QoFbI+DAAfs/dgIKss6j8tRJyVl0QS+N\nR/CJDVTZoS6weTPFAtrrymSPsWOB9ev5zEmD2FUCt23bhjlz5mClChlVixYtwsKFC7Fy5Up8++23\nWFSVrg2Qcjpr1ixB55giOSbQYECn/eloMpVDCZrRo8E2akMJNHdTCCYtjWp3tW8vbRydjkqGbFb/\nBSZZJgCwfTsQF2e9cbmDFAW2wcW7gWDJKdLnJBEuctmyBbmD+tRuISeQsJfjUO/QTqC8XPqcJMJD\nLh0OnkfjBwUUzrZC/7fi0DItQfI4PJAsl0uX4HHzNoJGiEwKqaKgALjQYzzFYqsMj3vlxA8LcKBz\nA8eLz1ujTRv6s3ev5DlJhcvasmYNTg3ogM/2fyZpmF0NRoNt3QqUlUmfkwax+0b6+uuvqwtBGxUs\npTqC9OrVC7Nnz0Z8fDzmz5+PhiZZcsuWLcNDFrJPbZ3Dk5t7tyHbB+gUMVzyWEvvjEDJ1l1U/8rZ\nSUggZUdi64YFC4A9DUdpQgnkQemWTWBDh0oep359IOS5EdBt28phVirDGLB1KxpPmCpZCUTjxlSO\nqC5Yd9LT0dLND52GiMyuNyU6mmRSF9aWzZuBESOEl1cyIyIC6PFSLBUnrwN4/rENhcOHcBnrUIvx\nKFxaB6xe5eXAli24O3wIfjr6k+hhSkuBBT82BTp31kZ1cRmwqwTOnDkTACVOzJgxA7Nnz0ZOTg4W\nLlyIRYsWOdTFQ4tIrRN4ff1vyAhrCxedNMsOAEx82g9efcM0sSgZA1NFs2MHEBsLALhbJr6w8dSp\nQPtn44D9+6F2rzTJMjEYcHfzWpwJa81lPhgxAtiyhc9YEpAsl9OnAXd39Bw0CSdvnkR+ab6oYU6e\nBD74AMCwYcA29V3CkuXyxx/AyJHQSbQaA0A+GuJO6+5AUpLksaQiWS6bNomrx2qJ/v2Bo0edf20p\nLUX71Eto+TCfpghXOsXBfW8deA8dPgy0bYuwXiORnpOOnGJx7d88PclgrKvDLmFRq0xcXBxmz56N\nyZMnY9myZXjuueeqs3mUIjU1FZGRkYpe05Qep7Ix5On3uIzl6QnojKVinJnKSkCvB2JjsefSHgxd\nLN7y1bo10LRdAyoKqwHlWAo3k7bjjhdDh3DplkAAyO4WDUNyCjVAdWa2bAGGD4eXuzf6tOxTs9en\nAPz96TbRihIomSolkAelpcA+nzgKR3BmSktpbRFTS9KMzz4DCpkPEBkJ7NkjfW4qcnP7OqQHuqBT\nFxF18CwwYV5veFw4S/HLzoxeD8TEwMPVA/1b98fOTIlWvKFDnf49ZA3RW80jR47gtddew7PPPotv\nvvkGS5cu5Tkvu/Tq1Qu+vr6iz5cUE1hRAezeDY846QtS9ZBxI8B27OA2nlgkxWKkplLj8hYtENki\nEidunkBBaYG0CY0cSS9FFZEan5K1+kecCw/iYjUGgJWbfXC5ZV/VFyXJcTtbt1a/1NdOWYthIeKS\nuJo3pzUaAwdSvTSVvROS5FJSQt12OIQOAOQlf+CjoRSmoTKS5LJ3L9XACwioPsRE9jjLzq4Kn4uN\nJc+Fikh9hq5uXIKsXiHc1hZ4eFDv6d27+YwnEslrS5USCFCRcbHhJikplNOH8HD6n9u3pc1Lg9i9\nc0zdvXl5eVi4cCHatWuH8PBwZGRkYPny5TAYDJg/f76sE9UUyclA27a0wnJi0PPdUXnlOnDzJrcx\nFccYDwjAy80LvVv2xu5LwheT9HTq3Q2AlMCtzh3/5pm4C4ahcdzGmzkTaDN9uCZcwqIpKaEXe9X9\n0sCzAXQS40jh5QX066e6ciyJPXuA7t2pYDov+valhK07d/iNqTS7dlW/1AFg2qppWH9WnHvun/+s\nqh08ZIjqSqBUmqecReBIaZUYTLl4EdjnNcS5n6Hycgp/GDwYgEkrUxHs2wecPQtKdhwwQHXlWA4c\nKhGzY8cOTJ48GX5+fvjggw8wadIknD9/Hlu3bkV8fLwS8+SOpJjAxERaQDiyZ58r3Aarf5NJisUw\nUQIB8TuwNm2A6oYA3brR1v36dfHzkogkmZSUIOjUVYRMeIrbfABQXKDKyrEkuezZQ/+2HHp4/+Uv\n1B0KgCZcwlLkcnPTCuT0lVZGyJxDxzxR0L0fWUdURNL9smtX9UsdALo27io9mSgqCjhzRlXlWJJM\nysrQ9ORF9J8qvKuXNTw9gTs9Y5z7Xjl8mJLE/P0BAOHNw7F2ylpRQ73wAi0pACjJqg4mh9hVAr/5\n5hsMHToUubm52LZtG3JycjB//nzRnUTqBCbJD7xwdQUtcrt2cR1XMUpLadtk8vAOCRqCxAvCF2oP\nD6Bdu6oPLi5OvQMr2rkdl1o3RKd2fbmOm1zWHSw3F7h6leu4ipGYWGPDIIXRo6vXe00ogVLI3roG\nSUE2GzkJ5vx54GqnOE24hEVRVgYcPEjJHFUMCR6CHReEW/G2bjXRbzw8aExnfbEfPkwLJYeNlJFm\nzYAH3o4kd4yzWo5NXMEA4ObihhC/EOnj3q9KYHh4OO7cuYOtW7cijtOirQXExgSy0lJUJu0FE9OQ\n2ta4DCiMVF8JFB2LsW8fpdGbLEhRraLg7uqO8kqJtdsGDVJVCZQSn+Kzax+6PPyidFenGf98T4fS\niAGq1vSSHOPFqV/2yJEm7U579ABycoArV7iMLQaxcmGlpWhz7iY6jX2S63ymTAE6vqB+XKDo+yU5\nGejQATCJAY9oHoHM3EzcLhIWo+XhQZ69amLVLRUj6RnauVNygWiLeHhQWIWK7yJJcjFTAsVy5w6w\nYYPJgchI2lE5q3JsBYfcwVISMOoa1xLW4ESjMr4xO6CNbvz74bQDc8bMrB07all2PFw9sO+ZfXB3\nFda8Oz7erNybykqgJPbsoflzZu1awGvoQOfMbiwrIytGv5odMQzMgLTbEjvEuLiQdUcDBW+Fcjlx\nLTIauyG0bS/7PxZKWBjFGzuj5djMFQwA7q7uGNhmoOCsz5gYs72HM8cFyqQELl4MXAqJUd0lLAqz\neEAp3LlDFcqqcXenEAJnXHNtYFMJfP311zFp0iRRAz/33HOizlOSuXPnCt5xXF+/BFkR7bhbdvr0\nAf7Y4UE3mYovMNGxGLt3c3nwAOCrr8igU01EBHDunGpZn6JlUl5OVoy+fF3B1QwYoOqCJFouKSnU\nUcaskHuloRJR30UJsu6sWgV8/bXZwQHqWkjFyuXKpqW4FhbKfW1hDPjiKxcwJ5WLJSUQAOKC43D6\n9mlpkwoPB7KygBs3pI0jEtEyqaggZUeGDWbLloAhOkZVJVC0XMziAaUQEgK8/77ZwehoVeSi1+uR\nmZkpvdOZBWwGn6Snp2PhwoWiBs7OzhZ1nlI0atQIc+fOFXye594DcH1GnGJsi+p1f9AgWvR4FUVV\ngvJyi5YdsTRpYnbAw4NM8UlJwKhRXK6hCKmptCDJYEm/fRu46h6BHmfOUB8sqf0xlWTPHlLUzHB3\ndceA1gOwM3Mn4rs4lnAWGQkUFpodHDAA+NvfOExUWdz2HYDH5Ancx9XpgAsXgIre/eGelARY6LSk\nWSor6bn/4YdaX/1f3/8TpDAXFFAnohovdmPW5969kvudK0mWfh28G9dDYGAg97Hj4gCURwIzz1No\nBQeFSjFsuIINzICC0gL4eklYj6Ojgf/7P/HniyQmJgZBQUGyjG1TCVywYIHoXalYC6JSiNGoWXk5\n2p69AW/OMTtG8vMB996D4f3eG7KM7wh6vV74LuzYMSqZwzFAuRZGl7AKSqAomQD0YrGg7PDg7Flg\n40ZP9AgPJ5/FMHE19qQgSS4PP2zxK2NGuaNKYJs2Fg5GRlI3krt3qc+ewoiSi8GArmdzkTdhuixz\n+ve/AezqD8yeLcv4jiBKLsePU7ZCrZ0hBL+bDAay7tSif39SNFVQAsU+QxfXLUZZRz/wTU80wd2d\n5LJrFzCB/8bEHqLXFr0esOKF/ObwNzh87TC+H/e9Q0OtXk0iaNrU5GCfPpRRnpcny+ZeDWy6g0NC\nQhAcHCz6T13jwu71uNbIDcHB4bKM/9prwNa8KFKqapk3NExSEjdlZ/lyqoNXCyeMC7y0aQnuhHeV\nZez+/YF580ABTs4Uo8IYzddKUkhMUIz00h9eXkDPnhRo6yycOgXvxs3RrL0M8YBGIiOBEyecq4+w\nFVewGHx9gaeftvBF//6U2OZEeO49AI9YPgXFzSkqAmbNgvPJxWCgDbGVd9HgtoMFVas4eZLKmdbA\n05PaEzlhzLE1OJUZdz7E1Al0O3AQJb17cY/ZMfLVV8D4R3woiHu/uBZaUhG1+0pKqlG+wZyLuRex\n6dwmh4aaOBH48EMLX/TrR7FktZ5K+REjk8rKCngcOIyyvjK3NlRRCRR1r5w9S6m8rVpZ/LpX8164\nkn8FN+7aj9GqqKC4foPBwpcqxr+JkotMCURGjh8HNul9gK5dKXRDBUTJZfduWeUCgF7qR45QmSuF\nEbW2VJSj3ekbaD/hGf4TAuDtTcst69tPNSVQ1L2SlgYEBlpt4tClcRcUlhciMzfToeHefJMcXLUY\nNOhPJfB+pc2pK+g+nk+jbpsY4wKdBTtK4I3CG3h126sODeXmZsWr3KABlaBR6QUmlNOHNsHFxRVN\nu/aR7Rr79gG32vUDDh2iuExnwE5pGDcXN7zQ5wWHk0P+9S9KCK6FykkQgtm9m1vJHEuUlpJ33Knk\nwhhXS+B//kO6Xi3q1wc6dqRNphOQtm8dCn3c0LQd36LiRnQ64IknAF3fKJKJs6wt+/dTYqUVdDqd\n6Nq1NejbVzUjjRzct0qgqCwbO8qOVCorKYAb/fqZ1UhRDsH1mS5fJv9BdXXn2oQ3D8fl/Mu4WWi/\nJZ5Fq44RlVzCYmpWXdz4Gy53b2uS8cOfLVuASwV+QFAQcPSobNexhqhaXjZcwUbmxc5D1yb23ehu\nbjZykfr3p4W6slL4HCUiSi4yW7wiI4HJk3Ev/k0FBMslI4OSwiwGft4jKSsJ2UX2ExHbt7eR49BP\nHauXmHvl0pbluN7VkomKMw0bAsHBzrO2HDhgUwkEgNjgWIfCTU6csNGVMyqKNt4qrC1ycN8qgYK5\neZMypTp1ku0SJSXA+PEA6xNF8UwiG6Qryr599GKxoey4ubhhYJuB0Gfq7Q7XqpWNMokDBzqPFSNp\nL1wH8rFgWGPuXKqe41RxgVYyg7nTpAn9OXlS/mtJJSuLHv727eW/Vr9+pAQ6w9riwEsdAD7Z/4lD\n4SYjR9rQJ1VUjoXS/5ob2g6fLOs11q0DfvwRZPVylrjAAwfsluOKDY5FucG+ZbOw0MZ7yN8faNHC\nOdYWB7hvlUDBMYH79tGCZNH3xId69SgnRNe8Gbk/z52T7VrWEByL4aB11NE+wufP20gyjoqiB13h\nF5hQmZRVlqHtqasIGj1VngmZo5ISKPheuXmT/nTlkywzdy6wZo2NH6jk+hQqlx1L/oWrXeW1GgMU\nc3zVpRUtNM6wtjioBA4JGoIdmRILPhstgRpfWwDA98hpNB4ibwmxjh2phKJaFlLBcikspHs6LMzm\nz9r5t8OS+CV2h4uKslrAgKhDLmFuGk2eSoV8FUNmV3AtoqKcI7vRUSUw2LFYDG9vG1+2akXuoQsX\nBExQeSpybqNjvgd8o2Ro6WRCQUFVWyNnWZD27aO5urpyGW76dDtGRSeJf8tO3IS8XvJ5GIx4elaF\nWwwY4BxWLwFKoL21JSXFSsKZkeBgcu9duiRwkgpTXEzlj3rJmEUOUgJ79IBqSqBgkpOBbt3oJlcC\nZ1lzHUCwEpifn1/rT15eHubMmSPH/GRDSExgcXkx0jf9AiZX5wcTbt+uanvap48qcYGCYjGKiyl4\nItJ+BmxYszC82OdFGJj1oL+yMgc24kZroIIIjU/xSTkO995RVGtLRkpLgc2bQS+w0lLF++UKjts5\neNChl7qjtGplNRGQUEnZESKX0opStDp9Ga2HyV/A+emnq5KyVWqrJ+h+KS2llOaICLs/7RTYCaWV\npbhwx/rmsGlTO7eeTqeKwiP4GUpJAbp0sbNb5kjHjlQT7/p1Za5XhWC5OLhhcJT58+0kizuLcuwA\ngpTA3NxcNGrUqNYfPz8//P7773LNUXWSMnaixbnr0CmgBK5eDaxcCVWUHcEcPky7LwcWJBedC17s\n8yJcdNZvuXnzqKK/TZxBLvv3c+ueYovAQOCLL0AvMGeQy4EDtLlxgMKyQryd+La063XsSHG8t25J\nG0dGDlzYg57XgfoDYpS7qDP0Vj56lGIk69Wz+1Nj1ueOC9Zdwi1bOtBm1xniAjkrO7Z44gng+k0X\nup7WrV4c5WIwUIiuh4eNH3XtSkmRd+5wuaaaCFICGzVqhPj4eBgMhhp/Dh8+jOXLl8s1R1kQEhN4\nOmEp8lsE1Op1KgczZgB//StoB2yxWqW8CIrF2LePq7Lz7rsONDRQQdkRHJ9y8KDDyg43tC4Xg4E2\nDQ7KxcfdB98kf2O1ptfRow40eHBxoRpwGpbLqcTfkd/cX5G15eJF4NNPQX6+S5cU78Ut6H4R+FJ/\nKuwptGpoufakw6hQHFmITAzMAKagEvjMM1XdKFWweskVP+oILi4Ub2wzRNfNjTxgzhCyZQfB7uDv\nvvuu1rHw8HBZGhvLSW5uLubOneuQ2blkVyIMfZV58Krx8QE6dLBS2EojyLAg2Q0Xi4yk7JmyMq7X\n5QZjiiqBBw6QODRvCTx7lrLqbPpv76HT6TA0ZCi2Z2y3+H2nTsAnnzgwkMblcnfPDlT2tu/y5IG3\nd1WJFDc3iinTcs1NgWvLsNBhGNFuhNXvn3rKAYNwRARw6hSVvNIguy7uws0d6xVTAgcPrjLEaj1D\n+MoVCk0KDXX4lJRrKdh1UWItXgXlotfrkZmZKYueJVgJ9LXSLy8nJ0fyZJRm7ty5dnccuSW5aJ12\nFY2HjFVmUjCp/atCcoigWAyOyo7BUFXM1h7169PDrmDtKkEyuXCB/AgtW8o2H1MuXgSuXgX9OyQn\nUxsNhRAkFxEbhqHBQ7EtY5vF7zw9rVTzN6dvX03HkD5f0QtNhoyTbzImNGkCPP541Yc+fbS9tnDe\nYE6e7EBrcy8virdLTeV2XXsIkcnBlPVoWGJQppSQKVHKF40Wda8IyK4/desUPjvwmcXv1qxxMFqi\nXz/F3OQxMTEICgoS1enMHoJjAiMjI2v9adeuHc6fP899clpAn6nHwOsecO+vQG2zKj74AMjOhmrJ\nIQ5x9Srtvix2ZBfOlSsC9EkNW3cWfBKPgl7y9Au2xOTJVP8MjRqR4qnV2lUiNgxDQ4YiISPBZjKR\nXYwbKZtVyNXDJ+W4omtLNSoogQ6TnU2lhDjWZB01ysE8LQ3LJVu/GYW9uslapsyUgweBl18GNV0O\nCqpyOWgQERuGIUFDoM/UW1xb6tWj/YBdjO8hja4tjiI4JpAxhtdffx3z58+v/rN161bMnz9frjnK\ngqMa9aB6XdCsUCdrkWhzVq0CmjWDtuO8jC91gbXNDlw+gFkbZtU63rq1AP1FYbk4KpOc4hzUSz0J\n7/7yloaxisJWL8ExXgKVwNa+rRHoE4gj12uHRMTGkufOLo0bkw/0zBlB15aCw3K5c4d2P5zqJjrC\nTz9V5T6oUHNT0NoSGcmtlJAgNLq25JfmI/B4OnwHD5d3Qia0b09udACKK8dyxo8CQMuGLRHgHYBj\nN2ortsOGOZSUTinnfn6Kri1yIHhL8eGHHyI+Ph5Dhw6t/hPCyRqkRQJOZsC1dx91FqROnSiQ5bZj\nfVQVRaQrONgvGEtPLEWFobbb0mF9UqOWQH2mHkNu1YNbX/kzg40wBnz+edVmVKNyQUkJaWzh4YJP\n/XHCjwhqFFTr+LJlArxiWpXLoUP0tnFzU+ySbdtWxQW2bUuhAwqXFXIIzq7gH3+s6n7hCBq1BOoz\n9Yi71QDu/ZSzGvv5Ad27V33Qat3aykoKgxHxLooNjkVCRoK062tVLgIQrATGxcXJMQ/FcTjAUoVM\nz9u3q3qZu7oqnoHkcCyGSLk0qdcEbRu1RfLV5BrHb90SEHLSpQvVrVIoDtVRmSSe24r2WUUO1U3k\nhU5H7/GSEiiu7Dh8rxw5QhsaEbXN+rbqC3/v2g1fAwMFlGHUqlzsNLyXg5iYKqeGTqe4wuOwXCQo\ngXP1c2utLTExAtoyd+igaFkhR2Vy5uZpdM0sUr7qgBGFQ5McvldOnqQWbn5+gq8xPHR4rZjjGzeo\nSoXDaHWDKYD7tm2cwyiYkm8kPb2qViCgzZ2GwHIf5sQFx9V6+F56Cdi928EBXF3JgqIxuVxJ2oLK\n1q0UKfdhyoIFlEyO7t2BzEwgP1/R69uF8zMk2IOpQnKIPXKKc2A4oLwSWAMtvsCM2fV4dbbMAAAg\nAElEQVQi5VJYXogNZzfUOBYUJCBx1MWFNnGHDom6vlzMDhgLj6YtHM6u58UrrwCJiaB6sCqUFbKL\nhLUlLjgOT4Y9WeOYqyuVF3UYjVqOhXDfKoEOxQQqXO7DSN++VDgZgDZjVM6cAQICyBwjgmEhw2op\ngb/9RnFeDqOgXByRSXZRNkLTs+HV31GTgwy4u1PvTIVKfwiOH+XEN984UE/SlLAwumcVKv3hiFxm\nb/07SpN2K64EFhdTLVIA2ozzSk+nCgDNmom6hqW1RTAaW1sAAAcOQKfChmHWrKooDuPakpxs9xwe\nCJELRDZx8PXyxZRuU2ocCwwEpkyxcoIlevWiNn7FxaLmoAXuWyXQHowxlJ8/p2i5D4sYF2qFG5vb\nROJLPTooGkevH0VRuYSXssasGAE+AZjf8EHoouTvKmPOsWNVPYQBzckFAHdL4MyZwDvvCDjBy4uS\nLxR6gdmDMYYzBzfDzae+4muLlxe5Rw0GUCHt5GSKq9IKEu+VQW0G4eiNo8gvJWv4nTvACOvlAy2j\nReuOCh4pgOJuq6vCabFahUpyqcbbm+IrtFzP1w73rRJoLybwbPZZvPavWNVusH37gGvXADRvTjnr\n6emKXNehWAyJPWB93H1w5eUr8HH3AUDeS8GtKY1ucgWUY0fjU1wPineRS6G83GQjqqAS6JBcjOU+\nBPlYalNpuKeouLiQsUgQGpJL2u00hF+qgFvf/orMxxSdDnj00aoqI/7+lOGYlqbItR26XyS+1L3d\nvRHVMgqJFxIB0NIpuHCFghtvJeIkuaGgcuyQXPLzgYwM6oDDiQ8+EPE4aHHjLYD7Vgm0x7aMbRiR\n3Ui1QNzERCArq+qD1m4yEeU+zKnnca8naFIS8P77Agdo0YJ2YVqpT1lQQIWiq9PplCMiAnjooaoP\nKpT+sMmhQ5LLfRiYAaGfh+Jm4U0AIutha+gZ2nJ+C8bnNVXFvVcLDckFABdlx9Ql7OFBHjtBNG9O\nQbYZGZLmwY2iIuq4Exam+KVv3DBJqtFafPrhwyQThzPE7NOjR1X2vBC0aDkWwH2rBNqLCfwj/Q+E\nZ1WopgS+8YbJpRV8+OzGYhjLfQheWa0zciTw3/+KOFGhF5hD8SnJyUDPnlwXJFG0aUMK4KVLsl/K\nIblweKm76FzQq3kvbDu/DaWlFLcj2IOpYHKIPblsPb8VYRfLVLPsrFsH/O9/VR8UfIE5tLacPCmq\nlJApMyNm4v1YobtKMzSytlzMvYjjm36kcAaHKhjzJTAQ+P77qg9BQdSu8/Jl2a+r1NpizujR1FlH\nEFrbSAnkvlUCbfUOLqkoQVLGTgSevaxouQ+raOkmk1DugztakovK7pqvvqqyHOt02pILp6SQkaEj\n8cf5P+DpSd5lwYbF0FCyqFy9KnkuUmCMoQE84J9+xcGKtPzp3JnCAQFoy4px5AiFDfj4SBrGz9sP\njbxok//CC1XZrULRiFx+O/4bzm9Zotra4upKVXMA3FtbNCAXANzW3M3nNuOFTS+IH6BjR6rrJmM9\nX031Dq5LWOsdvPvibowrD4GubVvFy30YKSykziEAaGd84gRQWir7de3GYsig7Bw7pm0Xnz2Z7L20\nFwYOLnIp1Ktn4gHWiFzAGLf7ZUS7EdiSvgUGZoCHh4gBjHXxVJaLTqfD7+3fgK5dOxGBjXxo394k\nakHBzGm794sMdRPnzBFpWFRICbQnk83pmxF1GerHAxrRiFyq1xaRmcGmdAzsiFWnV2HnToZPPxUx\ngIsL7apklItmegffL1zMu4ipxe1VfakbDMDWrVUf6tWjlVsLGUgcy32UVZYh5WoqnnuOvAyCiYhQ\nTDm2Rm5JLkb9Ogq6Q8qXEjLl8cfJEwxAO5bACxfIhdWiheShghoFIcAnAPsupIoPd9SKXLQQ5G/E\ny4uKr6emqj0TWeTSurVJdqsQIiOBo0cFVLDnT25JLlKvp6LpyUxV75ePPgI+/rjqg1YyhLOySBGs\nXvTEE+IXgnru9VDie1y8TqkRy7EY7lsl0JZGPT18OoZn+6r6Um/QAPj6a5MDGolR4akE5pfmY8ji\nGCTuKhPnAVJIObYlk4SMBIxtEAFdcQmglfaJvXuTTGR+gSl5rwDAhE4T8M5/0vDTTyIH0MozpAEl\n8IknTDrGKfQCcwa5VFO/Pj3Px2r3luWJLZlsO78N4xr0hkthEdCunazzsMVTTwHPPlv1oU8fRcoK\nOXyvCOxdb41R7Uch9e4m8UqgVjaYIrhvlUC7aGlBArQRi5GTQwFZnTpxGS7QJxAdAjogKStJ/CAq\nP3xbzm/BlMIQWhw5LUhiuHrVpBRGw4bUG/b4cdXmA4D7M/RB3AfY/smjePxxkQMo9AKziwbWlpkz\nTSxkWlhbbt2i9UViKSFTNm4twiPPSIjTUtm6szl9M6YWhaq+tvj70367+oOCZYWswvkZGt1+NDae\n2yh+AC3W83WQ+1YJtBlgqWK5D1OSk03WIC3EeR08SC5YCeU+zOnjPxLLUjeLH0ABuViTCWMMf6T/\ngX7XXFW1GgMUS9+8uckBBbJh7cbtyNRtx0XsquXvT0I6dYrrfMyxKZfsbKq70bmzrHOwx4ABJiGJ\nGoiVxIEDZMEW/Y9bm4NuH6Hh6H+JH0ABJdCWTIaHDseg6x6qbxhqocD9onRsenTbaBw+n44bOSJj\nY41lhbRSskwA960SaBONlPu4fp3eFwDI+nbzJr1E1EKGl7pP1hisS9tg/4fWUNESePzmcbi5uCHg\nRIbqSmCjRuTiq0Zt90R5ObmkOWbXl5VxaF0aFUUJCCrw+YHPcStxo+S6idzp0IGscLduqTcHGayj\nYzuNwq5rEjeYKloCp3SbgoappzShBIaE0C0CQHW5oLycYlirU9yl4+XmjRUDstDET0JmutpyEcl9\nqwTazLLRgLsGoJpFY8dWfXB1pZeHzDeZzVgMGZTABS/1Rrn7bWTcEVmYtVMnennJmJ5vSyZvDfwH\ndIcOqa4E1kIBJdDmvXL8OBAcTMGtnDh+3KQotlhUkktJRQne3PEm6qWe1MTacuQI9YUFQNa3yEgq\n7C0jNu8XGdbc8ObhyCnOwYU7F8QN0LUrcPEidaaQCZsyqaykgsgaWFuSkwE/v6oPClhI7a4tnCt3\n6HTA6FFu0rzuWkmaEch9qwRa4viN49iesV02N5Zk1LTucCz3YYqLzgVvDX4LxeUiG3ArpBxbokfT\nHnjKpz9VVA0MVPz65ixZYpJR3rUrFXWVoa6UQ8hwr0REmPz9xKLSM7Qzcye6N+0On9TjmlACQ0Ko\nhl41aq4tBgMpoJzl0rOHCwa3GInN6SKtge7uVELn8GGu83KYU6eAZs2AgAB1rm+Cn59JWKKCZYUs\nwqk0DHf+tAQ6F5ZiAv935H/Yf3m/ppTAL74wedb69pXdlWU1FiMzk3owcWx4X1QE6PXAi31eRNcm\nXcUPJPMLzG6cpEbuleBgk2osbm5UIE3GRUktuWzP2I6z2WfFndyjB8X7FhTwnZQJluSy8dxGjG73\ngOS+27xo2NAs5FnN+LezZymeQXCrBtvs3Ak82H2UeCUQkF0uduMkNXCvGDEYqv5HgbJCSsvliy+A\npUslDhIRQdnkouqdqcd9qwSawxjD2rS1mNgwCigu1ky5j9xc6qYE4N5Oo/ppVBAZXuq3bnF48ABF\nW4LVQiMvdYDE0K2byQE1rTsyFM++fJnCgbZnbMfio4vFDeLhQfG+Clp3GGPYeG4jJrr3oE47NTJ4\nNIKa2Y0yKTv+/sDIdiMQ4B0AJvbvpfYzpJG1ZdMms1AMNTOnZZDLAw8A/ftLHKR+fepMJHNZId7c\nt0qgeUzgqVunUMkq0eXCXdVT8k35xz9MGlo3bUp1Hc6dk+16VmMxZFB22rY1q4UoFqNyLNMLzG4s\nk0YsgbWQ+QVmVS65uVTMlXN2/TPPUPLduI7jsP7sevEDyZwcYi6XM9lnUFZZhk7n8zTzUgeAt94C\nVq+u+tC8OdUBkTG70er9IsNL3bhP9vP2w48TfoRO7Hous7JjSSbPbXwOiRcSNaUEDhsGLFtmckDm\n+Deba8vlyxTuwpHgYKo7XVZZhk3nNokfyAnjAu9bJdCcdWfWYVzHcdoM8jdFrZ2plpWdpk3JvyWj\ncmyR4mLg9GmgVy9lr2sFxoBp00y8EcZ7RWnrzoED5Bpxc+M67JYtlAcU1TIK1wqu4WLuRXEDKfwM\ntWzQEqsmr4JOQ1ZjAJg+HYiNNTmglnVHBmVn/nzgvfc4DBQURA9UdWVteSmtKMXSE0vRxbsNkJ5O\nVmsN4O5ultCuVvzboUMU5sJ5bTGigw7TVk3DlXyR/95OGBd43yqBly9fxty5c6tjD9adXYdxHcZp\nKsYLoHXg559NDshsxbAYi2Es98G54X1iIseqFDK+2M1lsuviLryV+Ba5FLt2JRefBtDpgEmTTHS+\nVq3I/XlBZHakHazG7ezfD/TrJ8s1AcDVxRWjO4wWbw2UWTk2l0sDzwbo3bK3piw7AFnia7RUk9mK\nYfF+kWkjNWcO8Pe/cxjI2HNaphe7uUz0mXp0adwFTdOyKH7V01OW64qhosKkCZHMZYWsri0yPEOZ\nmcCECfT/7q7uGN1hNNaeWStuMJnuFb1ej8zMTNv1jUVy3yqB9evXx9y5c6vNzq/2fxXRbQbRTkND\nSqCLi1kIoBrxb8eOkb1cVBNO62zfblJ7CsDrCa8j+WqyuMEUtO6sOr0Knq6ewL59sio7Ypgwwey9\noYbleN8+7tl7t25R3UwjYzuMxboz68QN1rYtKYBZWXwm5wilpdTnmvNGiiv9+9O/nZKkpFCSAeeN\nlIsLxyEVfIbWnFmD8R3HazID9uGHgW3bqj64uFCdPqWtXvv3c5dLs2bAvHn3Pk/sNBGr01ZbP8EW\nMlVliImJQVBQkO3SdiK5b5VAc2FO7DwRHucyNFPuw0hIiFkR4F69qGWPTOn5FmMxkpI4RM3WZt68\nml2idNBh2all1k+whYwLtalMGGNYk7YG4zqO06QSWAuF5FKNwSDLC2zbNmDRonufh4cOx7MRz1o/\nwRY6nfJyOXKE+lxX999Sn7Iycq9XbzIjIoCTJ5VdW2Sw7DDGOUFTRu+LqUwMzIC1aWsxodMEzVmN\nAWD5ckqgqEZGC6nFe0WmMmVeXjVDDEeEjsDBKweRU5xj/SRruLnRO1qtskIiuG+VQIvs3SuLssMV\n4x2bkqLcNZOSFFF24jvHY+WpleIy+cLDqa5WdSq1PCRfS4aHqwe6N+6mSSVw1y7ggw9MDihtCTxz\nhoqKNW3KddipUymRwUh9j/qI7xIvfkClO4do8KXu4QFs3mySA+ftTenlSr7AZJDL7duUpGlKXkke\nnt/4vLi1pW9fkkm1L1QezmWfQ9P6TdEhoIMm75daHf369FH2GbpwgdwcHMuUWaKeRz3EBsdiw1mR\nnazU7tYkkPtWCbToW09KoqaaGuOXX8x0PgXj3wDIYgk8dw7YvbvmsfDm4ahklTh2Q0SKvbc3mTVk\nqF1lKpOVp1diUpdJ0GVmUqR0mzbcryeFdu2AESNMDkRGyla7yuK9InM8IDcUeIZKKkruFUHX4Esd\noCiPGomzMrqELd4vMsilcePaYbANPRtiw9kNOHVLRN9oX19yyRw5wmeCJpjKpGNgRxyecZjciWVl\n9I+jIRirGb6Dfv3o36+ykvu1LN4rMoSZAEB8fO1/2lf6vULKuBjULJ8jgvtWCbTI3r2aVAL9/MgA\nWI0CRaOruXIFKCwkVxZHbtwgo5EpOp0OD3Z+ECtPrxQ3qAI7sE3nNiG+c/w9K6BGSgkZadGCjKLV\nGGtXHT2qzARkWqi553H07k0rv4zWnZWnVmLa6mn0QaNKYC369aNNnxLcuEHNoDmvLUDt5FGdTofx\nncaLD/gfMIDeDzLj6uJ6717R2NqSm2vWCrxJE/pz8qQyE9izBxg4kPuwn35aMywJAAa2GYi+rUSu\nY3370jqoRs1NEdy3SqAxJrC0opQO3LxJf7p0UXFWlhk92mxaCsWoAKCbuX9/7gvSwIFUosKcSZ0n\nac4MbyqTpKeTEN48XJOuYKvIdL9YjNuRwRJYXAy89hrXIamkUFAQ9SHljFEuq9NWY0z7MeSfvHWL\nLNUa49dfgZdeMjnQvz8pgTK8wGrdL8ayU7X8jNLIy7M8/fjO8VhxaoW4QY1y4YzFZ2jPHs0aIzLM\nW7wPHCiLcmxRLnv3yqIEtm7NOS/JOKDSJctEomklMCMjAwsXLkRCQgIWLlyIvLw8u+e89tprcHFx\ngb+/PyIjI5Fqwz1YUFqANp+2QVF50T0LRo1iSBolNJTcBZcuyX8tmZJCrBHVKgo7n9wp8mT5LYH1\nPOpR4VkNK4Gvvmq2LiuVUZ6fT2+JHj24DuvtTe0Fre1DyitFWvNkvF+Ky4uxLWMbxnYcS66hyEhN\nri3jx5vFkLZqRQKXsWh0NUlJsliNp083yWI1YVCbQbh+9zrO3D5T+0t7GC2BSlh39uwBBg2S/zo8\nUMhCitxc8vFrpG6iXQYOpH9HJ0DTSuDkyZMxe/ZsxMXFYebMmZgxY4bdc9q1aweDwYCcnBwcPnwY\nvazUn8rNzcWGsxsQ2SISPu4+mk4KKS0FXnzRZP3R6WiRMA+q40CtWAyZlMCvv7Ycpuaic0EDzwbi\nBu3QgRYL01oiHKglk8JCytCu4XfVDo89BnTubHJAJmWnllwOHqTMOA8P7teyRlF5Edp+2pY2ckKR\nyUKq1+ux5fwWhDcPR6BPoKZdwfXrAz4+ZgdlcgnXul927wYGD+Z+neXLqcOFOa4urnio60NYdlJE\nBYLgYIp947zxriWTu3cpwa2G31U7FBaSYbuaAQNkUXZqyWXfPgrhcHfnep3vvwdef53rkMTAgbK8\nn+VAs0pgSkoK/Kv7pQG+vr7Yvn0712ssO7UMD3Wpaoio0aQQgN6pYWFm9QIHDaJUUDkpLiZ3GecF\nqbKSdCjOzzO5lZR4+A4dImtXjUBN7dC9u0mrQYA0whs3gOxseS8sU1LI0aMUqWEJH3cfdGvSTVyr\nJxktgb8d/w2PdHuEPuzeLYsbixeMma0tMrk+a1BcTDGZMtXCs2Y1fnvw2/h7fxFVpHU62axe53PO\nY3tG1btt/37aSGl0bVm8uGapJnTsSIqr3B1VZIoHnDYNmD3b9m9EZZT/aQmUTkZGRq1afv7+/jji\nQIbWypUrkZCQgDlz5lh1ITfwbYCEjAQqzFlaSlmlGioSbYpORy6OGt4kmSyBNWIxkpOpHE0tU4E0\nXF0pGFeWuOfBg7krxxbjJDXqCraIqyu9bDkvSrXksnevLHJZv56MI9Z4qItI607XrvTyunNH/OQs\nEB0dDS83L0zqMonWloMHNbvBBIDhw80SgmXKEK5xvxw4QLsVznUTCwps1+kN8AmAt7vIADAZlOOY\nmBgsSll0TwncvVvTruDnnjOznMmkHFtcW2R4hjw9zTbMZmxJ34Kpq6YKH7hrV9p0c/ZKyYFmlcCc\nHBGFGgFERkYiPj4ecXFxePjhhxEXF2fxd9lF2RjcdjD8vP1I2enYEWgg0g2pBj170gushm2eMwrH\nA3Jh8GBgp8iYQiswxrDq9CpUGqpKIShUN1EsublAdLTZwZgY7nKpQXk5LdQyuPfefJOmb42JnSdi\ny/ktwl3Cbm5k5ebsEtbpdFg8cTH8vf2pvlzHjty77fBk7Vqz92vPnhQTmJ8v30VlUnZ27ADeeIP7\nsIQMyg5jDEtPLL1nNZbJ4iUrcscFlpXRcyTDmmvPyNenZR9sOrcJuSUCO4C4uNC7U4l4SYnI04XZ\nBosWLcJ5G0HHw4YNQ1xcHPz9/WvV8nNEMTSNAezVqxdSUlKQn5+Phg0b1vjd1cyraLKsCeaenQsk\nJaFRvXoI0+urdyDGmAStfP7kEz0uXwY++qjq+927gU6dELNnDzBhArfrGY/p9Xpg/XrE/OUv3P8+\nmzYBV6/q0a6d9d/vSNyBpKwkvPHYG3DRuTg+/oABQGYm9OvWAQ0bcpnvl8u/xIK9C+A3wQ9DBg8G\n9uyB/qmnAI3eL76+wGOP6ZGYCAwZUvV9w4bADz8g5uOPuV3vyJEj+Nvf/kafv/sOaNwYMQEBiv99\nA30C0bGgIz74+QO89/R7wsfT66GvSg/kMZ8az1JSEjB4sKbuD/PPPj5m33t4QB8SAnzzDWKqfGXc\n75e1a4GJExFTJSdef5/x42MwfrxM8iovR8y5c0BBAfTJyVzGP3nzJLzdvZFzOgf6E9sRc/Ag0L+/\npu4P88/p6cCFC3q4u1d9P2AArYcTJ3K73qeffoqwsDD6nJoKfbNmQEoK179PSQnwxBMxuHYN2LXL\n+u9jg2Pxr5//hQfaPyDsei1a0Ps5Pl70fI3/n5mZibS0NDRr1gzcYRolJSWFRURE1Djm5+dn85zk\n5ORa5+h0ulq/i46OZj179rx3YMIExn77TfxkFSA9nbH9+80OzpvH2Msvc71OYmIi/U9lJWOBgYxd\nvsx1fMYYW7mSsYMHbf/GYDCwbl92Yzszdwq/wLBhjK1dK25yFhj3wTg2b9c8+nDoEGOdO3MbWzFK\nSxmrX5+xO3e4DVl9rzDG2Pz5jP31r9zGNnL1KmN799r/3cpTK9mCPQuEX0CvZ6x3b+Hn2aCGXEaM\nYGz1aq7jy0FJidmBf/yDsTfe4HqNarmUlzPWoAFj2dlcx1eEgQMZ27aN23APLniQvat/lz4cOMBY\n9+7cxpaLCRMYS0szOVBSwli9eowVFHC7Ro1n6N//Zuz557mNbUp+vv3fLD+5nMX9FCd88N27GYuM\nFH6eFaKjo1l0dDS38Yxo1h1sntWbkZGBYSYpXxm1ChYBoaGheN0kYGH79u146KGHLI5fHW/ImGaL\nRJsSGmohwVCGuEDjTgTHjlGwhAwteh58kBK9bKHT6fBYj8fw87GfhV8gOppbXGBJRQn2uOzBtB5V\nRX8TE4HYWC5jK4qHB91AHO+X6nsFIFdzLR+0dLKyAJNNsVUe7PwgXh3wqvAL9O0LnD5NxeU4US2X\nigoKHdC4ey8ri7rF1SA2lnyrHKmWS2oq0Lat7WAskaSlmSW5WKGwrBD7skTEPQ4cyG1tqTBUIMk1\nCVO6TaEDTuIKXr3arLiypydlLnJMsqqxtsgoF0ciwEa3H43ka8m4WnBV2OCRkRTMfPeuuMmZIfj6\nDqJZJRAg1/HChQuxcuVKfPvtt1hkkpY0Z84czJo1q8bvfX190ahRIyxatAiLFi3C9u3ba5xjkRMn\n6E7QWPsvh+jdm+tNVoMdOwAr8ZRK8Wj3R7Hy1Mp7rbcchWNc4IazGxDWLAxtfKvuD/KxchlbThYv\nBt55x+xgdLQ8cYEVFbLFA/bpI2OMF0AvsD595MkoNyo7gYH8x+ZIq1akPNWgf39aG+WIC9y1S5Z7\npaICmDLFMSXwdtFtjFkyRvjaEhcHJCSIm6AZjDF8P+77e+3JnKk+oDkylYqR00jjaLMgb3dvPNHz\nCZy4eULYBby8KNObQ8wxYwxXCuTJwNa0EtirVy/Mnj0b8fHxmD9/fo24vmXLllm08sXFxWHGjBmY\nMWNGrXNMqY433L7dclEpDfLqq2Ydeow3GcdMvupYhIQEWSxeGRnAN9849tuWDVsiokUE1p9dL+wi\nvXuTdaegQPgEzVh8dDH6lFVljRuTH2SwePFmzBizThAA9+SQ6nslJcUplB2rVMUFSuXkzZN4cdOL\n9+Qik7LDG53OQh1rLy/uynG1XGRKCnFzo6oz5i3jLNG2UVv0btFbeIvKAQOoZhEH5djd1R0+V6oq\nLzDmNJbAoiILbZRjY+ldyonqe+XUKapOIYOR5okngJUO/vN/OvJTDA8dLvwigwZxUY4PXjkIA3Ng\ndyMCTSuBirB9OzB0qNqzcIgJE4BacaFylIopL6cbVwaLl05HHbsc5fEej+Onoz8Ju4iXFxARwaWc\nw8yImRjUtuqFlZxMrcacQNnx97fgbevTh7vrEwApUDIpxkuXAiUlsgx9jyFDyMIrka8Of4UAn4B7\nB2RykctBebmFPZMMLmEYDJopgzI9fDq+S/lO2Ene3hRWwbtGa1oaKTutW/MdVwZu3gQWLDA7OGgQ\naYYcNt412LoVGDGC75hV/PordcyRlehoLs/QD0d+QPP6zTlMqDZOqwSmpqYiUkIR40aNGlHq+e7d\nTuHeA8hDExBgdnDwYC5WDCMxMTFUDDkkxMLFpBMcDDzyiOO/f7Dzg5jey0KTYXtwqhc4psMYPDDs\nAfrgJK5gqxhdn5zKFlTH7ezcSdY0zjBGezTZu6316QOcPSupXuDdsrv47fhvmBE+g+RiMNBGygks\ngQDwySfAf/5jdpCzEhgTE0OWHV9fWWKN09OF1UMf13EcTt06hbPZZ4VdKC6Om9Wr+hnasoUKNjoB\nQUHAkiVmB318SDnm9C6qlsvWrbLJRadzzGosicGDKSxEguW4qLwIy04uQ9P6TTlO7B5OqwT26tUL\nvlJrbx04QK3GZFB2FMN4k/G07iQkqB4PaKSeRz1M7DxR+ImclWMATqcEDh9Ot0YNoqP5yqWiQjZl\nR6cDvvtOWGcZAzNgyoopyC8VsOh6eFCCiIRNw6/HfkV0UDRaNWxFB44fBxo3tmC61yazZ1uIvYyM\npPgNnrVIt26VLfzmt9+EGf89XD3weM/H8b/U/wm70NChXF2fAIA//gBGjuQ7ptIMG0b/vrwoLaUN\nqwxhSSUlNLzs+PhQfUMJm6nkq8kY3HYwPF09OU7sHk6rBEolNzfXqVzBAK3FE831IR8filPhtCjp\n9Xq6YWXKgH39ddsV/bkxYABlOHPoBqHX68lqvG+f01h2AHop1uq3zjE5RK/Xk5bZpg0pPBrARecC\nBib8xT5kiGjlmDGGLw9/iecinwNQJZft251qw2Cxe4+7O8Wocdo06PV6YNMm4IEHuIxnzttvA2PH\nCjvnxT4vYlS7UcJOioigQv0iu0Fk5WWhsKwQQJVMiotJ2dHIxtsR0tPpTw2GD5J7bwgAACAASURB\nVAe2beMyvl6vJ5l06QL4+XEZ05Rt24Cnn+Y+rGVGjCBLr0gGtR2E1Q+v5jihmty3SiAAp1MC/fyA\nV16x8MUDDwCbN/O5SEkJuYNlitkJDubeKcoyPj6k8Eh4+Gpw8CBZjWVYkOQiMJAK19egb1+KP+LV\nRzghQRZXMECG1+PHhZ/3ct+X8dmBz+51eHEECXGBF/MuwlXniqEhJmvJhg2UneNEXL1qIWOSp0u4\nqIi8LxpSdoIaBSE6SGDcpqsr3fMis4T/svkv+O34b/cO7NxJCX4a7ipjzp49FirC9OwJ5OQAly7x\nuYiMruCxY4FffhF+Xm5JLh5d9aiwJI0RI8jSK6YHcRU6WXqsEvetEtioQQOyFDlBNpYRV1cr0x01\nipRACTeZkRg3N3qYZWqhN3OmMPeeJEaPBjZuFHza9bvXkVN8rztNTEwMvQidyLJjpFa5DC8verFv\n2iR57JiYGGrsK5Oyc+OGuCiHqFZRaF6/OdakrXH8pMhIIDOTLiqQoEZBODzzMFx0tJzGhIVREpGT\n1ZN87DHy/taAoxIYU15Om5D69bmMZ8rt2xZCH+REpEs47XYa9l3eh6ndqR9tTEwMKQgyJT/IxZNP\nAo8+anbQxYXkwsEaGBMTI6sSCIjrXe/r6YuTN0/e6/XsCF270u7q3DnhF1SA+1YJRG4uLUheXmrP\nRDrt21PW2rFj0sfSUDygOXklecjKy3L8hNGjSTmuFGARAvCO/h18cfCLmgfXraPxnIiLF2n9qcW4\ncfT3kcqNG1SzSCZL4JQp4vdoL/d7GR/v/9jxE9zd6UUsUi5GBRAAvdSjo8ka7UQkJJgVAQZoQ3jr\nFlWUlsqmTbRhlYHz54Hly2UZ2jJGJVDgxvvDvR/ixd4vop6HiTtkyxbnjwc0MmwYH5fwrVu0I6nV\nIYEPly+Ls5nodDq8FPUSFuw1T4+2eZJkl7Cc3LdKYO71607lCjaydCnwr39Z+MJoDZSIfskS2Rak\nxYulPQc/H/sZf9n8F8dPaNMGaNFCUCX77KJsLDu5DDMjZlYf0//+O2lUGihrIYTWra1YR0aPpoVa\nYmS0/qOPaKfuKU/AshQmdJqAkooSXCu45vhJEycCawRYD62g//57p3MFW8XFhf4uUuXCGPSrV8sW\nDxgVZWVdlIsOHUiLOOt4ZnFWXhbWpK3BC31eqD6mX7qUQjPMOmQ5Axs2kIe/BsOGkXLsSMVuG+g/\n/5w2lzK4jcrLaeiKCnHnT+sxDRl3MrD3koAqC38qgdrjbkUF5mZm1mjU7AzExpIpvhYPPCDdxXfq\nFFBYSBZSGejcmWoKi+WZXs/g0NVDSL6a7PhJY8bQauUgHyZ9iMldJ9dMx9+zh4JIZK8nwBcXFyuG\n7iZNyEQo9d7fu1e2QluXLtGmQSxuLm44POMwmjcQUFtr1CgqGSWlEHBFBW06nMxqDNCewKJOM2kS\nsGKFtMFPnKB4llqmRu1w4+4NZOZmOvZjnY7WhFWrHB7/o30f4eleT8Pf26SA56FDpCDUCt7VPtu2\nWci7a9WK1peUFGmDHz4smyvY3Z2SWsTql+6u7nh94Ot4b9d7jp80dChVH3Bw451TnINHVj5SHXuo\n1+uRmZl5r8kFR5zvzuNEq549Mferr2r2KHQCmjQh41YtYmLI7CPlJlmxAjGPPirbgtS7N9Cpk/jz\nvd298Y9B/8CbiW86ftKYMQ7HBV4tuIrvUr7D24PfrnE85vhxC2nZzgFjVootS3UJFxWRXGSy7JSX\ni9+pGxEcTO3rS1nlUizq+/cjJjSUXoZOxuXLwN//buGLYcMo1EREvGQ1mzYhJj5eXCCWA6xbRwn8\nUlhyYglmb5vt+AkPPwz8/rvDPx/fcTxe7vdyjWMxGRlO6wr+7DMr5R7HjKEGw2KpqEBMaqqm4ySf\n6PkE8krzkF3kYIKdvz9tvB2s0frJ/k/g7eZ9L844JgZBAQFU35gz960SWOfw9qYAKinxGCtW0K5f\nw0wPn47Tt05jzyUHW/FERVE5Bwcy1t7f9T6eCnsKLRuarGy3blElfCdpLWjOJ58A71nasBqVQLHJ\nRNu2UTKFTNnSoaEKlnAwxUGX8LWCaxjz2xgwc/k5YVawkdBQK/sCLy9S9qW82Ddvlm3DYDBQ9wep\ne9fp4dOx++JuHLlu3hPNCoMGUfuMM2cc+vmQ4CFo0cBkB19URBnpTrq2WGXqVKpPJXZtSUggl1Fo\nKN95VXHxovTGJp5unkh6OqlmhyB7jBnjkOX4cv5lfHnoS7wb827NL27eFDhLx7hvlUA5zKpK8fDD\nVsLcxo1zvBmiOWfOALdvQy91O21jeItWBoF4uHrgneh38OYOB62Brq7k5nPAVf50r6cxZ+CcmgfX\nrYM+LMxpE4heegmYN8/CF5060d+pVhNQB1m3DnqLWSdOzrhxlNhhx22zYO8CtPNvV9vauGED9BZN\n9U6OFJfw7dtASgr0MnkYXFzIICc1WqO+R328G/Mu/rr5r7WVe0u4upJcBFgDa7B6NfQdO5J7xwm5\neRNYu9bCFz17UlKU2Ladv/wCvUwJIQB1xuHRaVWwp+HRR+lesbO2vLnjTcyKnIXWviYtBA2GP5XA\nP7nHRx9ZiSOeMoVeYGJqwK1YAcTHy+YKbtyYX/jYYz0fw/yh8x0/Yfx4YNkyuz+LbBGJQB+zvsCr\nVjlVgWhzrLZc0+nEu4QrK8ni1b+/pLnZYu5c4O5dfuMZmMGx2l7NmlGBWhtlUY7dOIZfj/9ae8Nw\n7hwpPBqOe7PHlSsWysQA5Jo7dEhc95DFi6nxuRNspKaHT0dBWQF+P+mgYifQJVyDn35yWlcwQLqM\nxdA/ne6eNVAohYW0tshYjuvf/5bNKG2boCCgWzeb4Ump11LxR/ofeG3AazW/2LNHvtpq7D4kOjqa\nRUdHqz0NeZg6lbHPPhN+Xs+ejO3cyX8+WqCkhLEmTRhLSxN2Xl4eYw0a0H+dmNxcxkpLLXyxezdj\nnToxZjAIGzAxkbEePXhMzSIGA2MLFzJWUcFvzJnrZ7IfUn9w7McLFzI2Y4bFryoqK1ifRX3Yt4e/\n/f/27j0uqjr9A/hnqMzUBMbMLE0ullt2EUUz3TYSsdsvMy/olpmV1y7+2spU2gp3axNp2zK7AGat\n7WaZZP3UcmVGySxdIcDWNC8MZF5SEwbvIszz++O7IDD3me+Zc3ver5evgDnnzDNPZ2ae8z3fi/uD\nTz1F9MwzoQepAe+/T5ST4+XBUaOIFiwI7oAuF9FVVxGtWxd2bN6sXUu0a5e8462rXEdxr8XRmfoz\n/jeuryfq0oXoP/8J7kl27yayWolOngwtSK1zOIg6diSqrQ1uv3/+k+j225WJSQsWLiQaOtTrw4v/\ns5gWlix0f2DqVLo5Pl6RuoVbAo3m4YfFgqvB9MfYuVN0+h44ULm41HT++aKDWU5OcPt99pno99O+\nvTJxRcioUV5W3hg4UKybG2w/0vnzxazfCrFYRNcBr62YIZiQNAEzbDMCm2dyxAjR/+34cbeH3ix6\nE63PbY2Hez/c/IGTJ0XLzuTJkiJWxwMP+PhfG8ot4W+/FbeyFJyUf/t20XVXlpu63YSvxn+Fc6MC\nuL8cFQWkp3tsDTxddxqzC2ejzuVhhNMHH4j9dNA6GpL4eKB79+DXEv7HP4CxY5WJCeImWRCz+gSs\ntr42sEEiI0eKFWK8nLBjrhmDB5MebP7HujrxvlOo24Bpi0A99wk8cMDHKNuUFPHlVVwc+AEXLRJf\nfOeco9iUOXfdJWUZ39BNmiRe58mTgW1PJO4bPP647qYRamn1arHcqRuLBZg2DZg3L/CDVVaKqWUe\neEBXeel7WV/8of8fcO+n93r+Um4qPl4U/++95/bQha0uRO7/5DafHBoQRUC/fkBCgq7yEpQ77hDL\nJ1ZUBL7PggXAhAmAxaJYXiZPlj+r1eXRlwe+ccMt4RYX3jPtM1F2oMy9mCQC3n8fGD9e9+fKhg0+\nBrzed58YsROoAwfERcPddyuWl//8B1gY5LLigcj9LhfjPx/vvy/phReKL8NgbpWvWSM+kxS6YDBt\nEahnF1/so89tVJRo9Xr33cAO5nQCb78NPPmk/21DRAQ88wygwOj2RrX1fga0xMeLL+kmfQM///Fz\n7wNMvvxS5FLD0xRIce+94os90CWN3ngDePBBRZb+avDuu8DGjfKP+8zAZ9D63NaBze81fTrw6qtu\n89Q8mPQgelzkoc/fW28BjzwiKVJ1ff21l+X62rUDpkwB5gTYH7emRrSmjxsnNT7N6dtXtKg3mVro\nvdL3sHLHSiwc6qHi2LBBNHP36xfBIJVx7JiPkbbp6aL/W6BDcT/+WPRTVnBx+ZSUwE/fYEzqMwn7\nju7DS197GoXXwrhxwU2C+vbbiraOcp9AI9qzhyg2lujYMf/bZmYSjR+vfEwKspXb6Ia8G8h50ul7\nw88/J7rhBiIiWv/Teuo4tyOt/2m9521/9zvRP8UA6uqIKip8bDBrFtG0af4PdOSI6MdUWSkrNI/s\ndqIdO5Q59v6j+6nzK51py4Et/jceOJDo44/9b7dpE1FcnNxOjCp68kmibdu8PHjokPhs2b3b/4He\neoto5EipsbW0c6d4W6suP5+oVy+i+nr6Zvc31HFuR9p6cKvnbR9+mGjOnMjGp5b77iN6/nn/2508\nSRQfr+t+6fuO7KO41+L89z2uqxP9SIuL/R9040ax7YkTitUtXATq2Blf/ZaHDiV69VXfB3A6iS66\nSHyS6pjL5aJHVz5K/Rf0p5pTPgZx1NURde1KxSsXUMe5HWnVzlWet9uwQXyp+0ywfhw8SNSvn48N\ndu8WX+z+BsDMm6f4l3ok/HjoR3IFMhjms8+I+vTxP3DmwQfN86VORPT000SPPeZ7m9paop49iVZ5\neY9JUlYm+torbfn25b4vMl0uoj596JeF86nzK51p5Y6VnrcrKxMDJg4eVCZQrfnpJ3Hh+PPPvrf7\ny1+Ihg1TNBSXi+iLL8RYHqVsO7SNOmV3oi93ful7w7ffpvob+9MD+ffTukovg6ZcLqKUFKK8PCJS\nrm4xbRF4/fXXqx1GWD74gGjCBB8b7Njhv8D705+Ixo1r9qe1a9dKia+pGTOIli+XfthmXC4XTV0x\nlW7Iu8HrFbjL5aLSGeNpQ9x5tGbHau8HGzaM6I03Gn9VIieak57uu5A5fZqoe3ei9WdbTo2el/Jf\nd9LxhMuJ1qzxvlFJiXifNflSN3peaP9+cdGwf7/3bTIziW67rVkBree8TPtyGnWf151K95d632jV\nKqrvcSUt37LM8+N1deJOxH+/1In0nZMG8+cT7d3rY4OMDKL77/f++L59RB06NBvirURejh0jGj48\n+MkQgrX+p/U0dcVUn9scOnqAtsS3o/lTk+lE7QnPG/3rX0Q9ejQ2RihVBHKfQJ0aPdrPYNcrrgCe\nfVb03/K0mLfTKQYEPPusYjE2eOwx4MYblX0Oi8WC+XfMR3rPdNz8/s2Y92/3wQ4Ewtw+J9Gjay/c\nsmid5wOtXi06XKqyXIWKXnxR9IFb5yEvRMDUqWLZIwXnBgREX8C//lXRp/Cq5lQN9hzZg417NmJ2\n4Wz0e7c//j32FuCJJzwvx+h0itF+8+eLiTAN4vhxP4uDXHIJcP/9XmYhhxiU9tZbonOnQsvERdrr\nt72O2SmzkfZBGp5Y9QRW7liJo6db9HUbMgRRnS7B/2zyMgIuJ0fM9Wawz5Y2bTx/xTSaOROw2bwP\nVszIELNaKLRCSIO2bcVaCkqfkgMvH4i37nzL7e9EhE17N2Hal9Nw9dvXwD59BB759GdccOSE+0Fc\nLpG3l15Sfs166WWlDjS0BL7wwguGuBLzqr6e6KabiP72t+Z/37tX9F95+ml14lJYzaka+rnGx+2H\nX34huvRSooKC5n+320WrztdfKxugCg4fDmAutdWriS65RMzx1dScOURJSURHjyoWX4Off27W2Bgx\nzpNOav9ye+r8Smfqm9uXxn82niqrK0WzweOPi/6BTfvYulyixfjRRyMfrMKOHvU6TeJZv/xCdOWV\nRH/8Y/OmlRMnxNyTixcrGiOR+HjLzFT29l5Luw7vohe/epFS3k+hmbaZ7husX0/UqRNRYWHzv+/d\nKz5bfvghMoFqTV4eUf/+RFVVzf++Zo34zNH5XKyBcLlcdOsHt1Lm2kzaefi/d+gef9z9lt6ZM+L2\nWd++je+ttWvXUrdu3RS5g2naItAIfQJPnw5grtGdO0VT+9NPE33zDdH33xNdfrnog6F0u7iW2WxE\nnTsTvfee6Ni/erX4kDboRcGyZeLuv1/z5om+XIWFRN9+K2YO7tJFDDYyq/p6ogceIBoyhGj7dnGu\nPPEEUXKymIjcrA4eFDmYNEkUhR9+KHKUnh6Rpz9xgigrKyJPFZxVq0QhOGcO0a+/iv927SoqVrOq\nqyOaOlV85v7zn+J8efhhkaeVXvpPSrZ6tXhaTXE6ia64guiWW8Tt38pKccGZlubW3YL7BEpkhD6B\nRERjx4ovd7+2biV67jmia64hatVKdCj0QnbL6LJlGm4s+egjMXqtVy/xYbTacz9BQ7cWt+RyidF8\nv/2t6L90442i35sHpsrLmTPiDdetm/jAnjBBdHr3wFR5OXKEaPBgonbtxGC0N9/02mJsqrzs3i1a\nvtq0ERcQXkaCGiEn1dVigoGAbNggVqdq00YMQ3d6HmyjRF5eeEFcw2lObS3RokXi4vuCC4jmzvXY\nvK1UEajwzWampEWLAuzfcNVVwJ/+JP6dPi1W0IiQ229Xvj9gyEaPFv/YWRYLMHu2+BdhtbXA8OFi\nOWOFlrAO3bnnilUeTGLbNrGO8ODBfja88ELRj7a+Xvm+S3rStauYcPHECd2vOORP27bi5Qakf3/R\nN7C6OuL9aDMzI/p0gTvvPNHH9r77RF46dIjo01uIgllfzBhSUlIAQPeztTMWjC1bxOdL585qR+JZ\nba1YfUDBteNZgDZuFPOH33+/2pF49+qrwN13Kz6egDFNUKpu0dr1NgsCEfBzAEuhqsl8lxja9X//\nJ1p4tKpVKy4AtaJ/f20XgABw2WWiIZIxf4qLlVmFyAhMWwTqee3gpm67zcsSTyGSeZVx7BjQpYuf\n6QN0wCgtxhkZwKBB8o5nlLzIxnnxTHZeRo8WS2jqmVHOla+/FqubySI7L7/+Chw6JPWQhmHaItAI\nLBbghx+A6Gi1I/GsXTvR8qS5/l1Mk8aOBbZuVTsK1uCzz4DNm9WOgunBZZcB11+vdhTe3XYbcNdd\nakehTdwnkDETWboUGDZMm334t24F4uLE5LNMfcuWif8fSUlqR+JuyRLRn/6ee9SOhLHI4D6BzKOT\nJ4EdO9SOwrNTp9SOgLVkt8vtPiDT1VdzAagl99yjzQIQAH7zG6B7d7WjYHpw4ACQm6t2FNpl2iLQ\nKH0Cd+2SO/Rd5lXGTTeJ29V6Z6QW47ffljcDgZHyIhPnxTOZebnuOuDaa6UdTjVGOlfeeANYvlzO\nsWTmpbZW//3SlWTaItAorr0W+PBDtaPw7N//FlMUMubP7NnAwoVqR8Faev55z8smM9bSLbdos+W4\na1dgyhS1o9Au0/YJdDqdGDZsGFJSUhrvtTNmdL/+CqxdC4wapXYkzdXUiPmGrVa1I2FNLVokOtTH\nxqodyVnffy/m7c7OVjsSxiKjsLAQ48ePR0xMDMrKyqQe27QtgTExMcjMzDREAbh3r/bmf6uqAs6c\nUTsK1lJ9vZg0Wmuio7kA1KJx47RVAAJi2qmRI9WOgukBEfDUU+KWsJ6lpKQgLi4OMTEx0o9t2iLQ\nKH0CATERZkGBnGPJ6ouRlWWcVbaM1G+nUyd5K8LJyovR7kUY6XyRSVZerFbghhukHEp1RjtXxowR\nK82ES1ZezpwRK8q0aiXlcIZk2iLQSO6+G5g2Te0omsvKAh56SO0omB6sWCGWzWTac+gQ8MQTakfB\n9OK550RLrVa0agU88ojaUWibafsEAsa7CmMsEN9/L0aVDx+udiQCEXD0KNC+vdqRsJZqa8V8gaNH\nqx2JcOIEcOutwLp1YrJ8xsyC5wlkPm3aBDgcakchVFUB+/erHQXzpb5e7QjOsli4ANSqVq20UwAC\nIp7587kAZIH54x+B8nK1o9A20xaBRuoTCAAlJcBPP4V/HBlXGV9/Dbz+evixaIXRWoyvu07O6GAZ\neSESE54bidHOF1lk5OXcc7W9PFmwjHauHD8O9OwZ/rx8svIyYIC8eVGNyrRFoNFMmSLmadKCu+8G\n5sxROwqmB3v3Ar16qR0F82XTJuDZZ9WOgulB27bAypXaaam94w5AgQG1hsJ9Ahkzoc8+E0u0DRmi\ndiRAXZ021zJmwq+/Art3A717qx0J0L+/WP9aS4MPGIsE7hPI/PrgA6C6Wt0Yjh8XLQdM2y6+GLjo\nIrWjELgA1LaLLtJGAQgA+fnApZeqHQXzRwvLtL36KvDFF2pHoX2mLQKN1icQAPbtA44dC+8Y4V5l\n7NkDLFgQXgxaY8QW4wEDwv9il5GXvXt5nkCzkJGXyy4Dogz0rWXEc6W0FLj55vCOISMvt99ujPWl\nlWagtxObMUOsk6imHj2A3Fx1Y2D6UF8PDBpkvIEhRvThh8DLL6sbg5ZGtDPvrr0WWL1a7SjEuvVq\nfx/qAfcJZMykXnwRuPNObS76zrTlwAHx306d1Ith+HBg8mQxTyBjZsN9AiVzOp3IzMw0VCHocokZ\n29W6Yna5gI8+Mt7tPaO6+WbgkkvUjoLpQadO6haAAPDxx9qZAYH5RgQcOaLe87/7rugTaBSFhYWo\nrKxUpBubaYtAAMjMzGysro0gKkqsq3nqVOjHCKcorqkx5kz+RrpQaOqmm4DOnUPfP9y8bNlizFvB\nRj1fwhVuXs47z3hrwBr1XFm2LLylTMPNy/DhQHp6WIfQlJSUFMTFxSFGgfluTF0EGtEf/iDmalJD\nbCzw1lvqPDfTnz//WQwkYvowa5Z6g76OHNHGiFMWmGHDgPffV+/5Y2N5GqFAcZ9Axkzs978XHf7j\n4tSOhGldVRVw4YWiRS7Snn1WTA3z6KORf26mL0TGuxsFcJ9AFqBjx4BHHlHnud98UyzwzvRj+nQx\nZyBj/lit6hSAAPDSS8DUqeo8NwvNkSPqrCG/eDFfLATDtEWgEecJBMSt4BtvDP3WSahXGS6XWFXg\n/PNDe14tM3KLce/eYuWQUISTl40bgYMHQ95d04x8vtTXA2fOhLZvuHkx0vyADYx8rixeLBYwCEU4\neRkzRlw0sMAY8G1lbhYLcP/9kf/AjIoCsrKAc86J7PMyfVq1Slw0MH0ZMwaw2SL7nPv2iVvRTF8m\nTwaeeSbyzxsVxesFB0MXfQLT0tJQUFAQ0LYOhwP5+fno3bs3SkpKMGnSJERHRzfbhvsEMnZWv35i\nLWFejov5U1sb+RG6b74p/su3+Jg/Z86IPoFGG0UOKFe3aHrVTrvdjvLyctjt9oD3SU9PR3FxMQAg\nOTkZEydOxJIlS5QKUZP27gVmzgy9KT4UL70ETJzI/cv06NNPeb5AFhg1vly5+NOvigrx3/j4yDzf\nN98Ar7wCrFgRmeczAk3fDk5NTcWkSZMC3r6kpARWq7Xx9+joaNi83Lswap9AQBRiEyaEtm+oVxlW\nK9C+fWjPqXVGbzHu0iW07gOh5mX5csDhCGlXXTD6+XLoEHD8ePD7GT0voTB6TgoKgA0bgt8v1Lyk\npACffx7Srqal6SIwWA6Hw20yRavVirKyMpUiUsd554W/gHewpk4FWreO7HMyeULt7B+KvXuNOUm0\nWTz1FFBUFJnnKi8HduyIzHMx+SZNAu69N7LPyf3Sg6Pp28HBqgqi97ASM28bgZFWUJHF6DlxucTt\nmi1bgutQHWpepkwJaTfdMPr5smhRaPuFkpfSUqC6GrjyytCeU+uMfq6EKpS8nDghzpXLLpMfj5FF\nvAjMy8tDeXm518fT0tKQmpoa0rE7dOjgdpvXW2G4Z88ejB8/HnH/nSU3JiYGvXr1cut8qdffP/64\nEH/5C7B5s/LPN348MGxYIWJitPP6+ffAf4+KAhYuLERZmTbi4d/594bfR47UVjz8e/C/l5QARUWF\n6NFD2efbtg346qsUfPSRtl5/OL83/FxZWYkff/wRlyjQeVsXo4OjoqLgCmDiu9LSUkycOLFxYAgg\nbge3LARTUlLgdDoNfZvY5QJ++in4DrmFhYWNJ2IgiIAvvgBuv92Y83gBwefELELJy3vvAX36ANdd\np0xMWmCG82XzZuDyy8XyXIEyQ16CZYacLF8uvo/uvjvwfcyQl2B5KhBl0O3XtsNDz/KkpCS3bdLS\n0iIVkqZERUVmRJbFAtx5p3ELQDPZvVsU9UqKjVVvbWsmzz/+AezcqexzFBWJScWZvt11V3AFIIss\nTbcElpaWoqCgALNmzcL06dOb3SpOT0+H1WrFO++847aPzWZDQkICioqKkJGRgfYthq0qVVFr0alT\nPGCD+UcE9O0LrFwJdOqkdjSMiQnFz5wRRQRjvuzfLwacJSerHYlylKpbNF0E+mO320PqP2iWItDp\nFLfdKiuVaakjAgYMELeDg7ktxBhjzDwKC8XAjTvuUOb433wDfPUVkJGhzPG1gG8HS2bkeQIbxMSI\nWzbBFIDBnmALFxq/ADT6xUKogs3L00+LEchGZ5bzxW4Htm8PfHuz5CUYZslJ69bABRcEvn2weRk4\n0NgFoJJ0WwSWlpYi2chtv5Kcf75yx7ZYgKuuUu74LPK++QY4ckSZY99zjxhMwIxhzx7g8GFljv33\nvwPffqvMsVnk9e8P3HKL2lEwT3R9OzhUZrkdDIhbtuXlQPfu8o/N/Q2N56mngIceAnr2VDsSZmZr\n1oj53nr0UDsSpnWbNwMHDwJGHwPKt4NZSOrqgJEjRcEm06FDwDXXKD+alEXWX/+qTAHI5wkLxqBB\nXAAaTVER8Nxz8o97/DhQUyP/uGZh2iLQDH0CAbGEXFlZ4C12gV5ldOwodrx5FwAADr5JREFU+ndZ\nLKHHphdmaDEORaB5qa8XhaVSt5m1xkzny9q1wOLFgW1rprwEykw5SUgAhg4NbNtg8jJggGjoYKEx\nbRHIwse3go1pxQpg61Z5xzvnHMBmA1rM1MQMoGNHoGtXucd87DFx4cqMpUMHMQ0V0xbuE2gSa9aI\n9Te7dAn/WFVVwNGjQLdu4R+Lac/ixcAVVxh7zi2mXWVlotWILxqMiUjeHaSXXxZ9Ac3wWcV9AllY\ntmwRE2rK8N13wPz5co7FtOf3v5f3oUokFnVnLFC9enEBaFTHjonGiDNn5Bxv4ED5LdFmY9oicM+e\nPcjMzDRNa+C0aYE1xQeSj7Q0IDs7/Jj0wiznSLACycv27eZb8cFs58uuXWL6H3/85YUIOHlSTkx6\nYbZzpV07MfXPeef53i7QvPzud+ZY4aiwsBCVlZWKjGUwbRHYrl07ZGZm8iLVjHmwfTvwyCPhH+c3\nvwHWrQv/OEy74uOBP/85/OOUlwM33RT+cZi2dewo5zhm6siWkpKCuLg4xMTESD829wk0kaIioLgY\nmDo19GN88oloUYyLkxYW06CTJ8Vt/9/+Vu1ImJnw3KPmcOAA0KpV6KtNHT0K9OsHfP+9/1ZFo+A+\ngSxsF18c/qTRBw4ALpeceJh2XXBB+AXgv/4lFnVn5nD0qJizLRxcAJpDdjawfn3o+194oRjsaJYC\nUEmmLQLNMk9gU926+Z9V3d9VxmOPiZF7ZmK2FuOmamu9F/3+8rJ5M2DCt5lpz5cnnxTrCXvjKy8/\n/AD88ov8mLTOrOfKK6/47iscSF46d5YXj5mZtgg0s7o6eaOzmLENHQps2hTavs88w8vPmUlubuCT\nAbdkswEbN8qNhxnT5s2i1ZnJwX0CTWjCBOCOO4DhwwPfJz9fzN8lowM404/jx4G2bdWOgjFmNKdP\ni3n+nntOTCgfqBkzgDvvFCODzUSpuuVcqUdjuvDaa2KofjBuvx3o3VuZeJh2hVIALlkipg3JyJAf\nD9O2+nogK0vcGub+fcyXhoEhp08DbdoEvl9WlnIxmZFpbwebsU9gA18FoLerjDZtxFQQZmTWFuOm\nXnvNvX+ft7zcdhuQnq58TFpl5vPlnHPE58upU+6PecrLvHnA3/+ufFxaZeZzxWIB/vd/PReAZs5L\npJm2CGTAu+8CDofvbbZtE5N7MnNr3Ro4cSKwbdu3D38UOtOvadOAQKczGz0aGDRI2XiY9jkc/uf9\ne/ll4NNPIxOPmXCfQBP78EOgf3/fo33tdrHc3NixkYuL6VNxsZhahgeDMEBMD9S5MxDFTQ3MByIg\nNRV47z3f69GXlwPR0cBFF0UuNi3heQKZdPfe63+6l9RULgDZWfv2AcuWeX6svNx/yzIzj0cfBUpK\n3P9++rQYnGbiHjmsCYtFNDb4KgABIDHRvAWgkkxbBJq5T2BLROK2TE2NuMr4/nvRsZsJZm8xbsrp\nBPbsET8XFhZi9+6zt3FGjzbfOsGe8PkiLFsGJCeLn6uqgKVLCwEA558vppJp31692LSCzxXBYhH/\nJRKjhVeuLAQgZqQYO9ZcS8RFmmmLwGPHjiEzM5PfhBBvsIceOvuhnJgIjBihbkxMm66+Gnj88bO/\nP/+8mLmfsZYavtgBYPlyoKDg7O9Dh/JtYuaurg649FLRrQQArrwSeOGF5ueSGRUWFqKyslKRxivu\nE8gYY4wxpmHcJ5AxxhhjjElj2iKQ+wR6xq2j7jgnnnFePOO8eMZ5ccc58YzzEjmmLQIZY4wxxsyM\n+wQyxhhjjGkY9wlkjDHGGGPSmLYI5D6BnnHrqDvOiWecF884L55xXtxxTjzjvESOaYvAY8eOqR2C\nJpWVlakdguZwTjzjvHjGefGM8+KOc+IZ58UzJRqvTFsE1tXVqR2CJnELqTvOiWecF884L55xXtxx\nTjzjvHjGRaAGhNpMrZf9IvlcetkvVHp5faHuV1lZGdHn08t+odLL6+PPFnn78XtILr28Pi3d7jZt\nEXjq1KmQ9tPLyRLJDyW9vDb+oJa7X6i3bPTy+vh8kbsff7a44/eQZ/weihxTThHTpUsXHD58GJ06\ndUJMTAxiYmIC3tfpdAa1vRn200OMvJ/8/fbs2YMuXbpE7Pl4P/Ptp4cYw9mP30O8X6Db//jjj2jd\nurX0W8KmLAKTkpJw6NAhdO/eXe1QGGOMMcZ82rVrFzp27IjS0lKpxzVlEcgYY4wxZnam7RPIGGOM\nMWZmXAQyxhhjjJnQOZmZmZlqByGDw+HAggULcOrUKeTn5+Oaa65B69atQ94nlONpkey8NEhLS8O4\nceOUDF0xsnNSWlqKFStWYM2aNXj99deRnJyM2NjYSLwUqWTnpaSkBFu3bkVpaSnmzZuHnj17cl5a\nGDVqFNLT05UKXVGy8zJjxgzceuuteP311/HJJ5+gb9++6Ny5cyReijRKnCv5+fnYtm1b47+rr75a\n6Zchney8xMbGIiMjA7Nnz27817ZtWwwYMCASL0capb6LKisrsXLlSlx66aX+P3PJIPr06dP4s9Pp\npFGjRgW9z8iRI8M6nhbJyEvTfWw2G+Xk5JDFYpEbaATJzEl1dTXl5uY2Pmaz2SgxMVFitJEj+z0U\nGxtLNTU1RESUm5vbbFs9kf0ealBQUMDvoyb7NH0f6ZXsnGRlZVF+fn7jY/weEj/b7fZm2+bl5UmK\nNLJkny9z585ttu3kyZP9Hs8Qt4NLSkpgtVobf4+OjobNZgt6H7vdHvLxtEhWXpruk5qaikmTJskP\nNkJk58ThcCArK6vxsT59+sDhcODIkSOSI1eW7PcQIOb6at++PQBx5W6xWCRHrTwl3kMAUFNTA6vV\nGtL0ElqgVF70THZOnE4n5syZg+HDhzc+VlxcrEDkylLiXBk0aFDjz0uXLkVqaqrEiCNDibzk5OSg\npqYmqDgMUQQ6HA63D1Or1epzIk5v+5SWloZ0PC2SmRe9vXZvZOekd+/ezd6ExcXFiI2NbSx+9EKJ\nc6VpDnJzc5sVy3qh1HvIZrOhd+/ecoONIKXykp+fD7vdjpkzZwb9ZaY22d9DxcXFSEhIaMxJdnY2\nKioqFIldSbLPlejo6Ma/OZ1OVFdXIz4+Xm7QEaDEe2jGjBmIj49HXl4e8vLyMHfuXL9xnBtC7JpT\nVVUldZ/q6upwwtEM2XkxAiVyEhcX1/hzbm4u8vLygn4OtSl1rlRUVGDp0qUYMmRIs6t3vVAiL3a7\nHWlpaaGGpAlK5CU5ORlJSUkAxBdbamqqrlq+ZObEYrHA4XCgpKQEaWlpaN++PZKTk9GnTx/s2rUr\n3FAjSsnvoTlz5iAjIyPo42uBEnmZOHEiysvLkZWVhZiYGAwePNhvg4QhWgI7dOjgNou2v2R528di\nscBqtQZ9PC2SmRejUDIneXl5GDNmTOPtGz1RKi/x8fGYPn064uPjMWTIEDnBRpDsvFRUVMBqtequ\npbglJc6XhgKw4eeSkhJddauQnZOEhAQkJCQ0nivR0dFwOBwhL6mmFiU/c202m27fS7Lz4nQ6MXPm\nTMyZMwe7du3C6NGjA7rYNEQRmJCQ4DF5vXr1Cmmf+Pj4oI+nRbLzYgRK5cRutyMxMVGXBSAgPy8O\nhwPZ2dmNf0tNTYXNZtPdF5jsvJSUlKC4uLjxdo3T6cSCBQt0d5tPibwkJye7PaanL3jZOUlISHD7\nux77kCr1mWuz2Zr1j9Mb2XlpeYdh+vTpGDx4sN8VRgxRBDa9ggTEffOmyXA4HEHt07KvTsvj6YXs\nvBiBEjlp6KzbcLtz6dKlMkOOCNl5qaiowOHDh5s9Fhsb2+zWuR7IzsuIESMwceLExn8AMGHCBN31\naZKdl8TERMyaNavxMZvNhlGjRskMWXGyc5KQkICYmJjGvpFOpxOJiYmmfw81KCkp0WVR3ECJ86Wk\npKTZ4zExMW77tGSYZeNKS0ths9mQkJCAoqIiZGRkNF5Fpqenw2q14p133gl4H1+P6YkSeSkoKMCs\nWbMwffp0pKWl6W5klsycOBwOtzWoExMTsXPnzoi9Hllknyv5+fmoqqqC1WpFQUEBpkyZossWZdl5\nAcTo4JycHMyaNQtZWVkYMWKE7gpB2Xmx2+2NX3zl5eW6/MyVnZOKigrk5OSgb9++KCoqwpQpU3RX\nBALKvIeys7NRVVWFl19+OaKvRSYlP3OrqqrQt29fv5+5hikC/bHb7borViKB8+KOc+IZ58Uzzotn\nnBd3nBPPOC+eRSIvhrgdzBhjjDHGgmOKlsDS0lIkJCQ0m1+IcV484Zx4xnnxjPPiGefFHefEM86L\nZ5HKiymKQMYYY4wx1hzfDmaMMcYYMyEuAhljjDHGTIiLQMYYY4wxE+IikDHGGGPMhLgIZIwxSRwO\nB0aNGtVs9YuW8vLyMGXKFOTn50cwMsYYc3eu2gEwxphRWCwW9OvXD9OnT/e6zcSJEzF48GBdLi/I\nGDMWbglkjDE/8vLy1A6BMcak4yKQMcb8+O6779QOgTHGpOMikDHGvHA6nZg8eTKqqqrUDoUxxqTj\nIpAxxryw2+2orq5GSUkJsrOzg74tnJ2dDbvdjvz8fEyZMgWlpaUKRcoYY8HjgSGMMebFiBEjGn/2\nNdjDk9zcXCQkJCA1NVV2WIwxJgUXgYwx5kOoy6snJiY23kpOTU3FiBEjUFNTIzk6xhgLHd8OZowx\nBaSmpiInJwcFBQXo3r07kpOT1Q6JMcaa4SKQMcZ8sFgsjT9XVFQE3K8vPz8fqampWLJkCVwuFwYP\nHozc3FylwmSMsaBxEcgYYz4kJCTA4XAAECuCJCUlBbSfw+GA3W5v/H306NHNCkrGGFMb9wlkjDEf\nkpKSkJycjLy8PFit1oD3i4mJgcPhgNPpBCCKwmAHlzDGmJK4CGSMMT/eeeedoPeZOHGiApEwxpg8\nfDuYMcYYY8yEuAhkjLEIC3XaGcYYk4mLQMYYk6ioqAhTp071+nheXh7mzp2LxMTECEbFGGPuLMSX\npIwxxhhjpsMtgYwxxhhjJsRFIGOMMcaYCXERyBhjjDFmQlwEMsYYY4yZEBeBjDHGGGMmxEUgY4wx\nxpgJ/T+qAt4xrWHm5gAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "plot(t,u,':',label=u'elektrické napětí')\n", "plot(t,i,'--',label=u'elektrický proud')\n", "plot(t,p,label=u'elektrický výkon')\n", "\n", "xlim([0,0.08])\n", "ylim([-1.3,1.8])\n", "\n", "title(u'Časový průběh napětí proudu a výkonu')\n", "minorticks_on()\n", "grid(True)\n", "xlabel('t [s]')\n", "ylabel('u [V], i [A], p [W]')\n", "legend(loc='upper right')\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 0 }