{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Today, we're going to represent a guitar chord on a circular diagram. Let's start with a basic circle that gets annotated with the different note names relative to the fundamental tone." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import pylab as pl\n", "import matplotlib as mpl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import cos, sin\n", "\n", "def plot_circle():\n", " circle = mpl.patches.Circle((0, 0), radius=1, fill=False)\n", " a = pl.gca()\n", " a.add_patch(circle)\n", " pl.xlim(-1.1, 1.1)\n", " pl.ylim(-1.1, 1.1)\n", " a.set_aspect('equal')\n", " a.set_axis_off()\n", "\n", "def annotate_and_label():\n", " note_labels = ['1', 'b2', '2', 'b3', '3', '4', 'b5', '5', 'b6', '6', 'b7', '7']\n", " \n", " for i in range(12):\n", " theta = pl.pi/2 - 2 * pl.pi / 12. * i\n", " x, y = cos(theta), sin(theta)\n", " #pl.plot((0, x), (0, y))\n", " pl.plot((x), (y), 'ok', )\n", " pl.annotate(note_labels[i], (x, y), (1.15 * x, 1.15 * y))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 70 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_note(note, with_line=False):\n", " note = note % 12\n", " theta = pl.pi/2 - 2 * pl.pi / 12. * note\n", " x, y = cos(theta), sin(theta)\n", " # plot line before point\n", " if with_line:\n", " pl.plot((0, x), (0, y), '-k')\n", " # plot point\n", " pl.plot((x), (y), 'o', markeredgecolor='blue', markeredgewidth=10)\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 71 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_circle()\n", "annotate_and_label()\n", "plot_note(2)\n", "plot_note(7, with_line=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZRyGtpCk/vxpbMBMmTKjxj/Piw9nZmXU03hw5coQzMzPjKioqWEchraQpP7+C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\noYIhhPCGCoa0WlZWFiwtLWs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"text": [ "" ] } ], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, now that we know how to plot these things, let's go live with a plot that shows us a major chord." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# setup diagram\n", "plot_circle()\n", "annotate_and_label()\n", "\n", "# plot chord\n", "major7_chord = [0, 4, 7, 11]\n", "for note in major7_chord:\n", " plot_note(note, with_line=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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btw9fffUV8vPzOWu3rKwMY8eOhbu7e42HDLgmyAKTnZ2Ny5cvAwBCQkJgb28PAAgLC4OT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\n0UcIDw/H1q1b8e2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"text": [ "" ] } ], "prompt_number": 73 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hey, how about we just shift the notes and plot all the different inversions of the major 7 chord ?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pl.figure(figsize=(10, 10))\n", "for i in range(4):\n", " pl.subplot(2, 2, i + 1)\n", " plot_circle()\n", " annotate_and_label()\n", " \n", " chord = map(lambda note: (note - major7_chord[i]) % 12, major7_chord) \n", " for note in chord:\n", " plot_note(note, with_line=True)\n", " pl.title('Inversion %s' % (i + 1))\n", "#pl.tight_layout(pad=0.8)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jER4ejqSkJIwfPx5TpkxB+/btZRNUhoRS3Mo9evQIGzZswIYNG2BkZAQvLy8MGTKEihwh\n1ZCWlobw8HD8/vvv6NOnD7y8vGBnZ/ef647xjdDqV1FREfbu3Ys1a9YgMzMTU6ZMwaRJk6Ctrc06\nGvkHas4Yqs0UbVNTS9Srp4rp06fD3d1d0MtACK24lSsuLsbBgwexevVqPH/+HMHBwRg6dChdl0bI\nZzx48AALFizA0aNHMXnyZHz77bdo06YN61g1JtT6BQDJyckIDw/Hvn37MHXqVMyaNYsWuuUJYe2i\nKJi9e2v+Wnv79YiPj8fo0aMF3ZgJWd26dfHNN9/g7NmzWLVqFYKDg9G9e3ecOnWKdTRCeOf58+fw\n9fWtWBD2zp07CAoKEnRjJnTm5ub47bffkJycjKdPn6Jjx44ICQlBQUEB62hKj5ozhiIja/7amzdp\nejRfiEQiDBgwAAkJCZg5cyamTJmCAQMGIDExETExMbC3t0e/fv1gb2+PmJgY1nEJkal/v+f37NmD\nwMBAGBsbQyKR4NatWwgMDISWlhbrqOT/a926NTZu3IjTp0/jwoULMDQ0xMaNG1FaWko1jBE6rcmQ\njs7/zcr8SI8XAAfgUrNPvvbJE5lFkyshnxaoTElJCSIiIvDDDz+guLgY7969q/iegYEBwsLC4OTk\nxDAhIbIRExMDHx8f3Lt3r+IxFRUV2NjYYOPGjYK8Jva/KFr9AoCLFy9izpw5uHfvHkpKSpD9j/+o\nqIbJBzVnDH3ywFf3F8Av19//eY7pJxs0RfmXU8TiBgB2dnY4efLkR4/b29vj6NGjDBIRIlv29vY4\nfvx4pY8r6nteUesXx3EQi8VISkr66HuK/O/JF3RakxAZKS0trfRxup6DKKqcnJxKHy8sLJRzElJb\nIpEIDRs2rPR79O8pezT3nyFt7U+c1rzU7P0Rs/I/V0LOd14iNVCvXr1KH7969SpSU1NhZGQk50SE\nyEZxcTGCg4Nx/fr1Sr9Pk5aE6VM17MWLF+A4jq57liE6csaQpeVnvnmp2ScbM+D9rUIIv02fPh0G\nBgYfPNa+fXuMHDkSvXv3xrJly1BWVsYoHSHSceXKFVhbWyMxMREREREfvecNDAzg7e3NKB2pjcpq\nWKtWrfD27Vu4uroiKyuLUTLFR0fOGBo48BmOHKnZTbXHjpVyGCJ15RfMrl69GoWFhVBXV4e3tzec\nnJwQEBCACRMmYN++fdiyZQsdRSOCU360bO3atQgJCcHo0aMhEonQrFmzSt/zRHg+VcP69++P4OBg\nmJubf/BvT6SHJgQwIJFIsG7dOvz4YyBevvzUdM3PKylhe3NdaVLUC2r/S/n7YP78+Zg9ezb8/PwE\nc8stotyuXLmCcePGoXXr1vjtt9+gp6fHOhIzylq/gPfvg7Fjx6Jt27ZYv369Ur8PpI1Oa8pZeno6\n7OzsEBkZib//Po2aHBXOylKcxkyZqaiowMvLC/Hx8YiNjUXv3r2RmprKOhYhn1RcXIwFCxbA3t4e\nM2fOxOHDh+k/ZCVmYWGBhIQEWFhYwNzcHNu2bVPaRlXaqDmTo02bNsHa2hoODg44f/48jI2NoauL\najVold34nAhb+/btcfLkSXh4eKB3794ICwujAkd4JzU1teLasuTkZIwZM4ZOZRHUrVsXCxcuxNGj\nR7Fs2TIMGjQIL1++ZB1L8Kg5k4OSkhJ4e3tj6dKlOHv2LAICAj44faWr+/405c6dgIPDhzMxdXTe\nPxYYmIaWLfWhpfWukhGI0KmoqGDatGmIj4/Hli1bMH78eJquTngjNjYWNjY2+O677+hoGamUpaUl\nEhIS0KFDB3Tv3h0pKSmsIwkaXXMmYy9evMA333yDevXqYceOHbW6qeyIESNgaGiIwMBAKSZkT5mv\n2ajMu3fvMH78eDx69Aj79++HLh0qJYxwHIeQkBCsWLECe/fuRa9evVhH4h2qXx/bunUr/P39sXnz\nZjg7O7OOI0h05EyGbty4gW7dukEsFuPw4cO1aswAYMmSJVizZg0yMjKklJDwkaamJnbt2gUnJyd0\n69YNly9fZh2JKKGCggKMGTMGO3fuxKVLl6gxI1U2duxYHD58GFOmTMGSJUuoea0Bas5kJCoqCl9+\n+SUCAwOxZMkSqczCa9OmDby9vTFr1iwpJCR8JhKJMG/ePKxatQqOjo7Yvn0760hEiTx+/Bh9+/ZF\nSUkJzp07h9atW7OORASmR48euHTpEvbs2QMPDw+6M0o1UXMmZRzHITg4GF5eXoiJiYGHh4dUtx8Q\nEIC4uDicO3dOqtsl/DRkyBCcOnUK8+bNw5w5c2jRWiJzly5dQvfu3TF48GDs2LEDGhoarCMRgWrV\nqhXOnTsHjuPQp08fZGZmso4kGNScSVF+fj5GjBiBQ4cOIT4+Ht26dZP6GBoaGli6dCl8fHzoP2ol\nYWpqivj4eFy8eBGDBg3C69evWUciCioyMhLOzs5Ys2YN5s6dS7MxSa3Vr18ff/zxB9zd3dG9e3dc\nvHiRdSRBoOZMSjIzM9G7d2+oqanhzJkzMp3N9M0330BTUxObN2+W2RiEX/73v//hxIkTaNu2LXr0\n6IF79+6xjkQUiEQiQUBAAAIDA/HXX39h0KBBrCMRBSISiTB79mysX78erq6uiIyMZB2J92i2phSk\np6fD1tYWkydPxpw5c+Syt5mYmAhnZ2ekpqbWeqIBazTbqXrWrFmDxYsX4/jx4zAxMWEdhwhcWVkZ\nJk2ahDt37uDQoUNo1uzT9/QlH6P6VT0pKSlwcHCAv78/3XP1M6g5q6U7d+7Azs4Os2bNwrRp0+Q6\n9qRJk9CkSRMsW7ZMruNKGxW36tu2bRtmzZqFY8eOwczMjHUcIlAlJSUYO3YssrOzERUVBU1NTdaR\nBIfqV/U9ePAAtra2mDp1KgICAljH4SVqzmohJSUFAwYMwE8//YRJkybJffzs7Gx06dIF58+fh6Gh\nodzHlxYqbjWze/duTJ8+HTExMbCysmIdhwhMcXExRowYgYKCAuzbtw/169dnHUmQqH7VzOPHj2Fr\na4tRo0Zh3rx5dH3jv1BzVkPXrl3DwIEDsXTpUqnPyKyOkJAQnDlzBocPH2aWobaouNXcoUOHMHny\nZBw6dAg9e/ZkHYcIRFFREdzc3KCqqopdu3ahXr16rCMJFtWvmnv69Cns7Ozg6uqK4OBgatD+gZqz\nGkhJSYGtrS1WrlyJYcOGMc1SXFyMzp0749dff4W9vT3TLDVFxa12jhw5grFjxyI2NhZisZh1HMJz\nxcXFcHNzQ926dbFjxw6oqamxjiRoVL9qJycnB7a2thg8eLDC3f2mNmi2ZjXduXMHAwYMwLJly5g3\nZsD7m86GhoZixowZKCkpYR2HMODg4ICIiAg4OTnh6tWrrOMQHistLcWoUaMgEomoMSO8UD4Tfc+e\nPVi8eDHrOLxBzVk1pKenw87ODoGBgUxPZf6bs7MzWrdujbVr17KOQhhxdXXFr7/+ioEDB9INh0ml\nysrKMG7cOLx9+xa7d++mxozwRosWLfDnn39i06ZNWLFiBes4vECnNasoMzMTNjY2mDlzptxnZVZF\nSkoK+vXrh5SUFPzvf/9jHada6LSA9Pz++++YPXs2Tp8+jY4dO7KOQ3iC4zhMnjwZ9+/fR3R0NK36\nL0VUv6QnIyMDffv2xaxZs+Dp6ck6DlPUnFXBu3fv8MUXX2DEiBGYPXs26zif5OPjg5KSEoSHh7OO\nUi1U3KRr/fr1CAkJQXx8PJo0acI6DuGBn3/+GTExMfjzzz/RoEED1nEUCtUv6bp//z769OmD3377\nDU5OTqzjMEPN2X+QSCT45ptv0LBhQ2zatInXs0levnwJY2NjnDhxQlBrX1Fxk74ZM2bg5s2biI2N\nRZ06dVjHIQwdOHAA06dPR3x8PHR1dVnHUThUv6QvLi4OgwYNwpkzZ2BsbMw6DhN0zdl/CAoKQlZW\nFtatW8frxgwAmjZtigULFsDX15eKhZIrX5h41qxZjJMQlq5du4Zvv/0WBw4coMaMCEbPnj2xZMkS\nuLq6Ijc3l3UcJqg5+4z9+/cjIiIC+/fvF8w6QN9++y2eP3+OgwcPso5CGKpTpw527dqF6Ohouger\nksrJycGgQYOwatUqWmKFCM748ePh4uKCYcOGobS0lHUcuRNsc/bgwQOYmpp+9LiNjQ0sLCxgYWGB\nli1bYsiQITXa/rVr1zBlyhQcOHAAOjo6tY0rN3Xq1MHKlSsxc+ZMFBYWso5DGGrSpAkOHTqE2bNn\n48KFCzIf79GjR/jyyy/RuXNndOnSBatWrZL5mEIl6/pVUlICNzc3DB8+HCNGjKhtXEKYWLp0KQDI\n7RZPvKphnEClp6dzXbp0+exzvv76a27btm3V3vazZ884fX19bvv27TWNx9zgwYO5RYsWsY5RJQJ+\nGwpCdHQ0p6ury2VkZMh0nCdPnnBXrlzhOI7j3r59yxkaGnIpKSkyHVOoZFm/OI7jPD09OWdnZ660\ntLRGrydVR/VLtl6+fMl17NiR27hxo8zH4lMNE+yRM+D9gooeHh4wMTGBu7s7CgoKKr735s0bnDp1\nCoMHD67WNstXzx4xYoSg9zhDQkKwfPlyZGVlsY5CGHNycoKvry8GDx6M/Px8mY2jo6MDc3NzAECD\nBg1gbGxM77/PkEX9AoC1a9fi9OnT+OOPP6CqqirNyITIXfkZgDlz5sj8DACfapigm7O0tDRMmzYN\nKSkp0NLS+mAJiYMHD8LOzq7a08Z9fHzQqFEjBAUFSTuuXBkYGGDy5MmYO3cu6yiEBwICAmBsbIyJ\nEyfKZbLIgwcPcOXKFXTv3l3mYwmVLOrX6dOn8dNPPyEqKgpaWlrSjkwIE8bGxtiyZQvc3d3x6NEj\nuYzJvIYxOV4nBenp6VybNm0qvj516hQ3ePDgiq8HDhzI7d+/v1rbXLduHWdiYsK9fv1aajlZevPm\nDaenp8ddunSJdZTPEvDbUFDy8/M5sVjMLV68WKbjvH37lrOysuIOHDgg03GETBb168GDB5y2tjZ3\n4sQJqeUk/43ql/wsWbKEs7S05AoKCmQ6Dh9qmKCPnP1zaQuO4yq+zsnJweXLl6u1gN2dO3fwww8/\n4MCBAwqzx9mwYUMsWrQI06dPh0QiYR2HMFa/fn0cOHAAoaGhuHLlikzGKCkpwddffw0PD48anZJT\nJtKsXxKJBBMmTICvry/s7OyknpUQPggICIC+vj4WLFggszH4UsME3ZxlZGTg4sWLAIDt27ejT58+\nAIC9e/fCxcUFdevWrdJ2ysrKMH78eMyfPx+GhoYyy8vC6NGjIZFIsH37dtZRCA+0atUKISEhGDdu\nHIqLi6W6bY7jMHHiRJiYmMDX11eq21ZE0qpfwPu7Qrx7905us9oIYUEkEmHt2rXYunVrxWdHmnhV\nw5gds6ulBw8ecEZGRpyHhwdnbGzMubm5VRzq7NevH3fs2LEqbys0NJTr06cPV1ZWJqu4TF24cIFr\n2bIl9/btW9ZRKiXgt6EgSSQSztnZmZs/f75Ut3vu3DlOJBJxXbt25czNzTlzc3PuyJEjUh1DUUiz\nft2/f59r1qwZzYxlhOqX/O3atYszMjKS+ulNPtUwpb990507d9CzZ09cvHgRHTp0YB1HZjw8PKCv\nr8/LiQ50+xP5y8rKgrm5OY4dOwYLCwvWcUgNSSQS2NnZYeDAgXQ3CEaofskfx3Fwd3eHgYEBlixZ\nwjqOTCh1c1ZWVoa+ffvim2++wfTp01nHkanMzEyYm5sjISEB+vr6rON8gIobG5GRkVi+fDkuX75c\nrVNohD/KT/GcP3+els1ghOoXG8+ePYOZmRkOHjyIHj16sI4jdYK+5qy2Vq1aBVVVVXz33Xeso8hc\nq1at4OvrS9ekkAqjR49GmzZtEBwczDoKqYH09HTMnz8fW7ZsocaMKJ0WLVpg1apVGD9+vELeDUdp\nj5zdvn0bvXr1wqVLl2BgYMA6jlwUFBRUrBfTr18/1nEq0J4nO3R6U5jKT2c6ODjQDhdjVL/Ycnd3\nR7t27Spu9aQolPLIWVlZGSZMmID58+crTWMGvF9KYdmyZfDx8UFZWRnrOIQH9PT0ZDZ7k8jO+vXr\nkZ+fDz8/P9ZRCGFqzZo1iIyMlMnsTZaUqjmLiYmBvb09DA0NcfPmTbRr1451JLlzc3ND48aNERER\nwToK4YmbdXXfAAAgAElEQVTRo0ejbt26MDY2Rr9+/WBvb4+YmBjWsci/lNev7t27w8fHB+PGjaPT\nmUTplZ/edHd3R//+/RWmhtVhHUBeYmJi4OPjg3v37lU8NmPGDKioqFRrsUehE4lECAsLw8CBAzFs\n2DA0btyYdSTCWGxsLJ4/f46HDx/i/v37AFDxOVGmzwafVVa/QkJC0Lp1a/o3IkpPU1MTubm5+PPP\nPyseE3oNU5przuzt7XH8+PFKHz969CiDRGxNmTIFmpqaCA0NZR2FrtlgjD4b/Ef/RvxF9Ys9Rfx8\nKM1pzaKiokofV8RZHlXx888/Y9u2bUhNTWUdhTBGnw3+o38jQj5NET8fStOc1atXr9LH1dXV5ZyE\nH1q0aIHvv/+eLigm9NkQAPo3IuTTFPHzoTTNmYODw0cXzxoYGMDb25tRIva+++473Lt3D7Gxsayj\nEIamT5/+0axlXV1dpf5s8M20adOgpqb2wWPKXr8IKVdZDRP650OpJgR8++23uH//PgoLC6Gurg5v\nb2/BXiwoDXXr1sWKFSvg5+cHOzs7WiVeSZV/BlavXo3CwkLk5uYiPz8fjo6OjJORcq9evUKHDh3Q\npk0bql+E/Ms/a1heXh7i4+MxY8YMQX8+lGJCwJ9//glPT0+kpKR8tPdJAEdHR/Tv3x8zZsxgMj5d\nUMsvEokEYrEYc+fOhZubG+s4Sq+oqAidOnXC77//jt69e7OOQ/6F6hf/hIaG4syZMzh06BDrKDWm\n8M0Zx3GwtrZGQEAAhg0bxjoOL6WmpqJPnz64efMmWrRoIffxqbjxz/Hjx+Ht7Y2bN2+iTh2lOcDO\nS2FhYThx4gSio6NZRyGVoPrFP4WFhejUqRN27NiBXr16sY5TIwp/zdnevXsr7mBPKmdkZAQPDw/8\n+OOPrKMQnujfvz9atWqFzZs3s46i1N68eYNFixZh8eLFrKMQIhjq6uoIDAzEnDlzBNs4K/SRs5KS\nEnTu3Blr1qxB//79WcfhtdzcXBgZGeHYsWMwNzeX69i058lPly9fxpAhQ3D79m1oaGiwjqOUFixY\ngPT0dERGRrKOQj6B6hc/lZWVwczMDEuXLhXktWcKfeRsz5490NPTg52dHesovNekSRMsXLgQvr6+\nVGgIAMDa2hrW1tZ09IyRvLw8/PrrrwgMDGQdhRDBUVVVxc8//4yff/6ZdZQaUejmLDw8HD4+PhCJ\nRKyjCMKkSZOQm5uLffv2sY5CeMLHxwfh4eHUsDPwxx9/oG/fvkp5D2BCpGHQoEF48uQJEhMTWUep\nNoVtzq5evYqHDx/CxcWFdRTBUFVVRVhYGPz9/VFQUMA6DuGBvn37guM4nD17lnUUpcJxHMLDw+Hl\n5cU6CiGCpaqqiqlTp2Lt2rWso1SbwjZna9euxbfffkszzaqpX79+EIvFWL58OesohAdEIhG8vLwQ\nHh7OOopSuXDhAgoLC/HVV1+xjkKIoE2cOBH79u1Dbm4u6yjVopATAl6/fg19fX2kpKRAV1eXdRzB\nSU9Ph1gsxtWrV9GqVSuZj0cX1PIbfZ7kb9SoUbC2toavry/rKOQ/UP3iPyF+nhTyyNm2bdswYMAA\n+o+khtq1awdPT0/MmTOHdRTCA40aNcKwYcMQERHBOopSePbsGWJjYzF27FjWUQhRCOVH/yUSCeso\nVaZwzRldqyEdc+bMwenTpxEXF8c6CuEBT09PrF+/HqWlpayjKLyNGzfi66+/RpMmTVhHIUQh9OrV\nC/Xr18epU6dYR6kyhWvOzpw5A5FIBBsbG9ZRBK1BgwZYvHgxfHx8BLW3QWSja9eu0NfXx+HDh1lH\nUWhlZWVYt24d7VwSIkVCvHZW4Zqz8qNmtHxG7Y0aNQoqKirYtm0b6yiEB4RW3IQoNjYWurq6sLS0\nZB2FEIUyatQonD59GpmZmayjVIlCTQjIyspC586d8fDhQ2hpabGOoxAuXbqEoUOHIjU1FQ0bNpTJ\nGHRBrTAUFRWhTZs2OHv2LDp16sQ6jkJycHDAiBEjMGbMGNZRSBVR/RIOb2/vigXX+U6hmrOgoCBk\nZmZi3bp1rKMolLFjx0JPT09m9/ej4iYcc+fORVFRES21IgPp6eno1q0bHj16BHV1ddZxSBVR/RKO\nlJQU2NraIjMzE6qqqqzjfJZCndbcv38/Ro4cyTqGwlm8eDE2bNiA+/fvs45CGBsxYgT2799P/xnJ\nwMGDBzF48GBqzAiRERMTE2hrawtiopvCNGePHj1CRkYGevXqxTqKwtHT04Ofnx/8/f1ZRyGMdenS\nBQBw8+ZNxkkUT1RUFFxdXVnHIEShubq6CmJik8I0Z9HR0XB0dKQ7AsiIn58frly5gpMnT7KOQhgS\niURwdXVFVFQU6ygKJTc3F4mJibC1tWUdhRCFJpT6pTDNGe11ypa6ujqWL18OX19fWutKyQmluAnJ\nkSNH8OWXX0JDQ4N1FEIUmqWlJd68eYPbt2+zjvJZCtGcvX37FufPn4e9vT3rKAptyJAhaN68OX77\n7TfWUQhDNjY2SEtLw9OnT1lHURi0c0mIfKioqMDFxYX3pzYVojk7fvw4evbsKbOlHsh7IpEIK1eu\nRGBgIF6+fMk6DmFETU0N9vb2iI6OZh1FIRQXF+PYsWNwcnJiHYUQpeDi4sL7o/8K0ZzRXqf8mJmZ\nYejQoQgMDGQdhTAklItqhaB83TgdHR3WUQhRCl999RWSk5Px4sUL1lE+SfDNWWlpKWJiYuDi4sI6\nitJYuHAhtm/fjpSUFNZRCCMODg7466+/kJ+fzzqK4NHOJSHyVb9+fXz11Vc4cuQI6yifJPjmLC4u\nDq1bt0abNm1YR1EazZs3x7x58+Dr60vrXSmpJk2aQCwW0+zdWuI4jpozQhjg+8QmwTdnVNjY8PLy\nwqNHj+i6IyXG9+ImBNevX4eKigo6d+7MOgohSsXJyQnHjx9HUVER6yiVEnxzduTIEbqQlgE1NTWs\nXLkSfn5+KC4uZh2HMODs7Mzr0wJCUF6/RCIR6yiEKJUWLVrA2NgYFy5cYB2lUoJuzvLy8pCeng4L\nCwvWUZSSvb09OnXqhFWrVrGOQhgwMDBAYWEhnjx5wjqKYF2+fBk9e/ZkHYMQpdSjRw9cvnyZdYxK\nCbo5S05ORufOnaGmpsY6itIKDQ3FL7/8guzsbNZRiJyJRCJYWVkhMTGRdRTBSkxMhJWVFesYhCgl\nPtcvQTdnVNjYMzQ0xLhx4/DDDz+wjkIY4HNx47sXL17gxYsX6NixI+sohCglPtcvas5Irf3444+I\njo7m7ZucyA6fixvfJSUlwcLCAioqgi7DhAiWoaEhsrOzkZubyzrKRwRdFRISEiAWi1nHUHqNGjVC\nUFAQfHx8aGkNJWNlZYWEhATWMQSJ6hchbKmqqsLc3BxJSUmso3xEsM1ZXl4eHj58SFPQeWL8+PF4\n9+4ddu/ezToKkaO2bduiqKiIJgXUAB35J4Q9vh79F2xzRpMB+EVVVRVhYWGYNWsWrRqvRGhSQM1R\nc0YIe3ytX4Jtzqiw8Y+NjQ169OiBZcuWsY5C5EgsFvOyuPEZTQYghB/4Wr+oOSNStXTpUqxatQoZ\nGRmsoxA54eueJ5/RZABC+IGvkwIEWxnoYlp+atu2Lb777jvMnj2bdRQiJzQpoPqofhHCD3ydFCDI\n5qywsBDp6ek0GYCnZs2ahb///ht///036yhEDtq2bYvCwkI8e/aMdRTBuHr1Kt3ZhBCesLS0RHJy\nMusYHxBkc5aVlQUdHR2aDMBTmpqaWLJkCXx8fCCRSFjHITImEonQtm1bZGZmso4iGI8ePYK+vj7r\nGIQQgJf1S7DNma6uLusY5DNGjBgBdXV1bNmyhXUUIge6urrIyspiHUMwqIYRwh98rF+CbM6ePHlC\nhY3nRCIRwsLC8MMPP+DNmzes4xAZ09PTo7XOqojjOKphhPAIH+uXIJuzrKws6OnpsY5B/oNYLIaD\ngwOCgoJYRyEyxsc9T77Kzc2Furo6NDQ0WEchhICf9UuQzRntdQrHokWLsGnTJty5c4d1FCJDfNzz\n5CuqX4Twi66uLp48ecKr2w9Sc0ZkSkdHBwEBAfD392cdhchQeXEj/43qFyH80rBhQ6ioqODt27es\no1QQZHNGpzWFxdfXFzdv3sTx48dZRyEywsfTAnxF9YsQ/uFbDRNkc0Z7nsJSr149LF++HDNmzEBJ\nSQnrOEQG6LRm1VH9IoR/+FbDBNmc0Z6n8Li6ukJPTw/r1q1jHYXIgLa2Np49e4aysjLWUXiP6hch\n/ENHzgC8evUKbm5uMDY2homJCS5evFjl1xYWFuLdu3do1qyZDBMSaROJRFixYgV+/vlnvHjxgnUc\nImV169ZF48aNkZOTU+ttPXjwAKamph89PnHiRJibm8PMzAxDhgzB69evaz1WTdSmfgF05IwQPigt\nBXbuBBwdAR0dYOfOHfDwGAUdnfeP7dz5/jnVJa36xaQ58/HxgaOjI27duoVr167B2Ni4yq99+vQp\ntLW1IRKJZJiQyEKXLl3wzTffYMGCBayjEBmQ9Z7nypUrkZycjGvXrqF9+/ZYvXq1zMb6nNrUL4Ca\nM0JYy8oC1NSAESOAI0eA7Oz/+1529vvHRox4/xxpnemsbv2Se3P2+vVrnDt3DhMmTAAA1KlTB40a\nNary6/Py8qClpSWreETGAgMDsXv3bly/fp11FCJlWlpaePfunVS2VVpaCg8PD5iYmMDd3R0FBQVo\n2LAhgPeLuBYUFOB///ufVMaqjtrWL4BqGCEsZWUBLVtW/fl6etVv0KRRv+TenKWnp6N58+YYP348\nLC0tMXnyZOTn51f59aWlpahTp44MExJZatasGebPnw9fX19erSlDaq9OnTpSm/CRlpaGadOmISUl\nBVpaWggPDwcAjB8/Hrq6urh27RomTZoklbGqo7b1C6AaRggrpaXVa8zK6elV7xSnNOqX3Juz0tJS\nJCUlwcvLC0lJSdDU1MQvv/xS5deXlJRQYRO4qVOnIjs7G4cOHWIdhUhRnTp1UFqTizQq0bp1a/Ts\n2RMA4OHhgb///hsAsHnzZmRlZcHMzAzBwcFSGas6alu/AKphhLCyd2/NX7tvX9WfK436JffmrFWr\nVmjVqhWsra0BAG5ubkhKSqrSa2NiYvDdd9/h9u3bsLe3R0xMjCyjEhmpU6cOVqxYgZkzZ6KoqIh1\nHCIFMTExuHLlCvz8/KTy2fznNaUcx33wtYqKCoYPH47Lly/XaoyaqE39At7/nDIyMjB27FiqYYTI\nWWRkzV+7dWvVnyuN+iX33TcdHR20bt0at2/fhqGhIf7880907tz5P18XExMDHx8f3Lt3DwBw/Pjx\nij87OTnJNDORvv79+6NLly4IDQ1lHYXUUvln88WLF3jx4gVu3LhR689mRkYGLl68iB49emD79u3o\n06cP7t27BwMDA3Ach6ioKFhYWEjzr1ElNa1fwP/9nAoKCioKM9UwYaOlY4Tlc/tRTogGBxFiUfln\n8cqVqo8jlfrFMZCcnMyJxWLOzMyMGzJkCPfq1av/fM2AAQM4AB/9sre3l0NiIgtxcXEV/46lpaWs\n45AakvZn88GDB5yRkRHn4eHBGRsbc25ublx+fj73xRdfcKamppypqSk3fvx4Lj8/X8p/k6qpSf3i\nOKphiub69eucnp4ex+i/UVIDQOW/HBFd8YUDYj75vKqQVv1icuFD165dq31K4lOnvwoLC6URiTCw\ne/duODg44MiRI7C0tMTKlSvx5Zdfso5Fqknan822bdvi1q1bHz1eft0GazWpXwDVMEXx4sULLFiw\nAH/88QckEgkA0NJOgiH7SWjSql+CuUNAvXr1Kn1cXV1dzkmINKSmpmLbtm3YsmULJBIJfvzxR4wf\nPx5ubm5IT09nHY9UA302q4Z+TsJWUlKC1atXw9jYGBzHwdDQEKGhoeA4jn4J5Je2duX/trFwghOi\n4YgYHIFjpc/R0ZHhm6sSgmnOpk+fDgMDgw8eMzAwgLe3N6NEpDb8/Pzw/fffo0WLFhCJRHBzc8Ot\nW7dgbm4OsViMH374AXl5eaxjkiqgz2bV0M9JuE6cOAFzc3McOnQIp06dQu/evVFaWopx48axjkaq\nwdLy09+LhdMnGzMAkPslrpWf7eSn6OhormfPnpympiZnb2/PRUdHs45EaiAmJoYzNDTkioqKKv3+\no0ePuFGjRnEtW7bkIiMjubKyMjknJNUVHR3NNW3alDMzM6PP5mdER0dzmpqanFgspp+TANy5c4dz\ndXXl2rdvzx08eJCTSCRcXl4e16pVK+7s2bOs45Fq2rHj09ed/devnTvlm1XEcZygVgK9fv06Ro4c\nSSvMC1RxcTHMzMywfPny/5yhFhcXBx8fH6ioqCAsLAzdu3eXU0pSEzY2NggODkafPn1YR+E1c3Nz\nbNmyBebm5qyjkE948+YNgoODsXHjRgQEBMDX17fitPRPP/2E1NRU7Ny5k3FKUl2lpe9vyVQTJSWA\nPJcnFMxpzXLq6urVXpGb8MeaNWvQrl07ODp++vBxuZ49e+LixYvw9PTE0KFDMWbMGJneu5HUTn5+\n/ievqyL/h2oYf0kkEmzatAmdOnXC8+fPcf36dcyePbvifZ2RkYHVq1dj6dKljJOSmqhT5/3tm6or\nK0u+jRkgwOZMR0cHT58+hcAO+BEAz549w6JFixAaGlrl2U0qKioYO3YsUlNT0bJlS5iammLRokU0\nw42Hnj59Sjf0roLyGkb45fz58+jWrRsiIiIQFRWFTZs2ffR+njVrFry9vdGmTRtGKUlt6epWr0HL\nynr/GnkTXHPWsGFDiEQivH37lnUUUk0//vgjPDw8YGxsXO3XNmzYEIsXL8bly5eRkJAAExMT7Nu3\nj5p0npBIJHj27Bm0PzUdilTQ1dXFk+reSZnITEZGBkaMGIHhw4fDz88P58+fr7gDxD+dO3cOFy5c\nwKxZsxikJNKkq/v+NOXOnYCDw4czMXV03j+2c+f757Da3xRccwYAenp6dHpLYJKTk3Hw4EHMnz+/\nVttp37499u/fjw0bNuCnn37CV199hWvXrkkpJamp58+fo3Hjxqhbty7rKLxH9Ysf8vPzERgYCAsL\nCxgaGiI1NRUjR46s9Kh+WVkZfHx8sGTJEmhoaDBIS6StTh1g2DAgNhZ48gTo338Ajh49hidP3j82\nbJj8T2X+kyCbM9rzFBaO4+Dr64vAwEA0adJEKtu0tbXFlStX4O7ujv79+8PT0xM5OTlS2TapvidP\nntApzSqi+sUWx3HYtWsXjI2NkZKSgqSkJAQGBkJTU/OTr9myZQs0NDQwfPhwOSYl8sS3GibI5oz2\nPIVl3759yM3NxeTJk6W63Tp16sDLywu3bt1C3bp1YWxsjLCwMJSUlEh1HPLfsrKyoKenxzqGIFD9\nYicxMRE2Njb45ZdfsG3bNuzatQtt27b97Gtev36NefPmISwsjO4EoMD4VsME2ZzRnqdwFBQUwN/f\nHytXroSqqqpMxmjatCnCwsJw5swZxMbGwszMDEePHpXJWKRyfNvr5DOqX/KXnZ2NSZMmwcnJCWPG\njEFCQgJsbGyq9NqgoCA4OjrCyspKxikJK0VFRcjLy0OzZs1YR6lAzRmRqeXLl0MsFsvlnpkmJiY4\nevQoli1bBm9vbzg7O+P27dsyH5e83+uk5qxqqH7JT1FREZYtW4bOnTujcePGSEtLw+TJk6u8o3j7\n9m1s3rwZwcHBMk5KWHry5Am0tbV5dWRUkM0ZnRYQhsePH2PFihVYtmyZ3MYUiURwdnbGjRs30K9f\nP/Tq1Qv+/v54/fq13DIooydPnvDqlACfNW/eHLm5uSguLmYdRWFxHIfDhw+jS5cuOHPmDM6fP4+Q\nkBA0atSoWtuZOXMmZs2aBR1531iRyBUf65cgmzPa8xSGOXPmYOrUqWjXrp3cx65Xrx78/f1x8+ZN\nvHr1CkZGRtiwYQPKysrknkUZ0JGzqlNVVUWLFi2QnZ3NOopCSklJwcCBAzFr1iysXr0a0dHR6NSp\nU7W3c+zYMdy6dQs+Pj4ySEn4hI/1S5DNmZ6eHjVnPBcXF4dTp07h+++/Z5pDW1sbERERiImJQWRk\nJMRiMc6ePcs0kyLi454nn1ENk76XL19i+vTp6Nu3LxwdHXHt2jUMHDiwRtsqKSnBjBkzEBoaSne9\nUAJ8rF+Cbc4eP34MiUTCOgqphEQigY+PD3755Rc0aNCAdRwAgKWlJc6ePYs5c+Zg9OjRGDZsGB4+\nfMg6lsLIzMzkXXHjMz09PTx69Ih1DIVQWlqK8PBwGBsbo6SkBCkpKfDx8YFaTW+iCGDt2rVo1aoV\nXFxcpJiU8BUf65cgmzMtLS00bdoU9+/fZx2FVGLbtm1QUVHBqFGjWEf5gEgkwrBhw3Dr1i2YmJjA\n0tISCxYswLt371hHE7ScnBy8e/cOrVq1Yh1FMLp06UKLJ0vByZMnYWFhgT179uDEiRNYu3Ytmjdv\nXqtt5uTk4Oeff8aKFSt4dYE4kZ2rV6+iS5curGN8QJDNGQCIxWIkJiayjkH+5e3bt5g7dy7CwsKg\nosLPt5eGhgYWLFiAK1eu4Pbt2zAyMsL27dvpVlA1lJiYCEtLS97+e/MR1a/auX//PoYOHYrJkycj\nMDAQp06dgpmZmVS2PX/+fAwfPhydO3eWyvYIv3Ech8TERIjFYtZRPiDYamplZYWEhATWMci/LF68\nGLa2tujevTvrKP+pTZs22LFjB3bs2IHly5ejd+/e9J6qgcTERFoDqprK6xftEFTP27dv8f3336Nb\nt26wtrZGSkoKhg4dKrUjXNevX8fevXsRGBgole0R/svMzISKigqd1pQWKysr2vPkmfv372P9+vVY\nvHgx6yjV0rt3b1y+fBkTJ06Ei4sLxo8fTxdrVwM1Z9XXunVrlJWV0ZJAVSSRSLB161YYGRkhKysL\n165dw/fffw91dXWpjcFxHHx8fLBgwQI0bdpUatsl/FZev/h2ClvQzVlSUhLtefKIv78/Zs6ciZYt\nW7KOUm0qKiqYMGEC0tLS0Lx5c5iammLJkiUoKipiHY33EhISqDmrJpFIRDuYVRQXF4cePXpg7dq1\n2L9/P7Zu3SqToxwHDx7Es2fPMGXKFKlvm/AXX+uXYJuz5s2bQ0tLC/fu3WMdhQA4deoUrly5Aj8/\nP9ZRakVLSwtLly5FXFwcLly4gM6dO+PQoUO0E/AJOTk5eP36NQwMDFhHERxqzj4vMzMTHh4ecHNz\ng7e3Ny5cuCCzyyUKCwsxc+ZMhIWFoU6dOjIZg/ATX4/8C7Y5A6i48UVpaSl8fX2xfPlyqZ5mYKlj\nx444dOgQwsPDMXfuXPTv3x83btxgHYt3EhMTYWFhQZMBaoDqV+UKCgoQFBSErl27Ql9fH2lpaRg9\nerRM32MrV66EmZkZbG1tZTYG4Z/yyQDUnEmZWCymC7h5YMOGDWjWrBmGDBnCOorUDRgwAMnJyRg0\naBC++uorfPfdd3jx4gXrWLzBx1lOQlFev+io7Hscx2HPnj0wNjZGcnIyEhISEBQUJPO1ErOyshAS\nEoKQkBCZjkP4p3wyAB8vxRF0c0Z7nuy9fPkSP/30E1auXMm7CyqlRU1NDd7e3rh16xYAwNjYGKtX\nr0ZJSQnjZOzxda9TCGhSwP9JTk5Gv379EBQUhC1btmDv3r1yu+3b3LlzMWnSJHTo0EEu4xH+4Otk\nAEABmjOaFMBWYGAghg4diq5du7KOInPNmjXDr7/+ipMnT+LQoUMwNzfHiRMnWMdiipqzmqNJAcDz\n588xZcoU2NvbY+TIkUhKSkK/fv3kNn58fDyOHz+OH374QW5jEv7gc/0SdHPWvHlzNGrUCLdv32Yd\nRSmlpKRg+/btWLhwIesocmVqaooTJ05g0aJFmDp1KgYNGoS7d++yjiV3z549w6tXr2gyQC2IxWLE\nx8ezjiF3xcXFCA0NhYmJCTQ0NJCamoopU6ZAVVVVbhnKl85YtGgRGjZsKLdxCX9cvnyZmjNZsbOz\nw9GjR1nHUDocx2HGjBmYN29erW+XIkQikQiDBg1CSkoKevXqhR49emD27Nl48+YN62hyc/ToUdja\n2tJkgFpQxvoVGxtbsYNz7tw5rFixAk2aNJF7ju3bt6O0tBRjxoyR+9iEvXfv3uHChQvo27cv6yiV\nEnxVdXV1RVRUFOsYSicmJgYZGRnw8vJiHYWpevXqYfbs2bh+/TqePXuGTp06YdOmTZBIJKyjyVxU\nVBTdGLqWvvjiC6SnpyMzM5N1FJlLTU2Fo6MjZsyYgRUrVuDIkSMwMjJikiUvLw+zZ8/m9W3miGz9\n+eefsLa2RuPGjVlHqZTg35V2dna4fPkyXr16xTqK0iguLq4osGpqaqzj8IKuri42b96MqKgoRERE\noFu3bjh//jzrWDJTVFSEEydOwMnJiXUUQVNTU4ODgwOio6NZR5GZV69eYcaMGejTpw/s7Oxw/fp1\nODo6Ms20ZMkS9O3bF7169WKag7ATFRUFV1dX1jE+SfDNmaamJmxsbJTu1ABLq1atQqdOnTBw4EDW\nUXjH2toa58+fh5+fH4YPH46RI0fi0aNHrGNJ3enTp2FqaqqUp7SlzcXFBYcPH2YdQ+rKysqwfv16\nGBkZIT8/Hzdv3oSfnx/q1q3LNNeDBw8QHh6OJUuWMM1B2JFIJIiJieH1kX/BN2cAndqUp+zsbPzy\nyy8IDQ1lHYW3RCIRRo4cidTUVHTo0AHm5uYIDAxEfn4+62hSw/e9TiEZOHAgzp07h7y8PNZRpOb0\n6dOwtLTE9u3bceTIEaxfvx4tWrRgHQsAEBAQAF9fX7Rq1Yp1FMJIfHw8mjdvjvbt27OO8kkK0Zw5\nOzvj6NGjtO6UHMybNw/jxo2DoaEh6yi8p6mpiYULFyIpKQkpKSkwNjbGrl27BL/0C8dx1JxJUaNG\njdC9e3eFWJYlPT0dbm5uGDduHObNm4fTp0/DwsKCdawKZ86cQXx8PPz9/VlHIQwJoX4pRHOmp6eH\nDq6tCcwAACAASURBVB064Ny5c6yjKLSkpCRER0fjxx9/ZB1FUNq2bYtdu3Zh27Zt+OWXX2BjY4Ok\npCTWsWosOTkZ6urq6NSpE+soCkPoR//z8vIwb948iMVimJub49atW3B3d+fV4p5lZWXw8fHBsmXL\nUL9+fdZxCENCmMykEM0ZIPzixnflawItXLgQjRo1Yh1HkGxsbJCQkIAxY8bA0dERkyZNQnZ2NutY\n1Va+18mn/3iFzsXFBdHR0SgrK2MdpVokEgl+//13GBkZ4cGDB7h69SrmzZvHy+Zn48aN0NLSgru7\nO+sohKF79+4hJycH3bp1Yx3lsxSuORP6KSO+2r17N/Ly8jBhwgTWUQRNVVUVkydPRmpqKho1aoTO\nnTsjJCQExcXFrKNVmRBOCQiNvr4+9PT0cPHiRdZRquzSpUvo1asXwsLCsHv3bvz++++8vY7r1atX\nmD9/PsLCwminQskdPnwYzs7OvF9Chd/pqsHU1BQSiQQ3b95kHUXh5OfnY9asWQgLC5PrCt6KrHHj\nxli+fDnOnz+P06dPo0uXLoiOjub9zkVmZiYePHiAL774gnUUhSOUo/9ZWVkYO3Yshg4dCk9Pz4om\njc8WLlwIV1dXXl3/RtgQys6lwjRn5Su27927l3UUhRMSEoIePXrAxsaGdRSF06lTJ0RHRyMsLAz+\n/v4YOHAgUlJSWMf6pH379sHR0RF16tRhHUXhDBo0CPv27ePtAsaFhYVYvHgxzMzMoKenh9TUVIwd\nO5b3RyDS0tIQGRmJoKAg1lEIY9nZ2UhMTISdnR3rKP+J35+qapowYQIiIiJo1qYUPXr0CKtWrcLS\npUtZR1FoDg4OuH79OhwcHNC3b1/4+PggNzeXdawPcByHdevWYdKkSayjKCQrKytoamri5MmTrKN8\ngOM47N+/HyYmJoiPj8elS5ewePFiwdyP0s/PD99//z1vlvIg7GzcuBHu7u7Q0NBgHeU/KVRz1rVr\nV+jr6yvkgo6szJ49G15eXmjbti3rKApPTU0Nvr6+SElJQXFxMYyMjBAeHo7S0lLW0QC8X7tKVVWV\njqDKiEgkgpeXF8LDw1lHqXDt2jXY2tpiwYIF2LBhAw4cOCCoG93Hxsbizp078Pb2Zh2FMFZWVoZ1\n69YJ5paDCtWcAcC0adN4VdyE7O+//8a5c+cwe/Zs1lGUSvPmzbF27VocP34ce/bsgYWFBU6dOsU6\nFsLDw+Hl5UUXVMvQqFGjcPbsWeZ3lcjJyYGnpyfs7Ozg5uaGK1euwNbWlmmm6iouLoafnx9WrFjB\n/K4EhL2YmBi0bNkSlpaWrKNUicI1Z0OHDsWNGzeQmprKOoqgSSQS+Pr6YsmSJdDU1GQdRyl17doV\np06dwk8//YSJEydi6NChuH//PpMsWVlZOHnyJDw8PJiMrywaNGiAUaNG4bfffmMyfklJCcLCwmBs\nbAw1NTWkpqbCy8tLkNcYrlmzBu3atWN+H0/CD+U7l0KhcM1ZvXr1MHHiRKxbt451FEHbunUr6tWr\nhxEjRrCOotREIhG+/vpr3Lp1C2KxGNbW1pg7dy7evn0r1xwbNmzA8OHDoaWlJddxlZGnpyciIiLk\nvrzKsWPHYGZmhpiYGJw5cwarVq1C06ZN5ZpBWp4/f45FixYhNDSUjvQS3L17F0lJSYJa407E8X3u\nfg08fPgQlpaWyMjIoKM+NfDmzRsYGRkhKioKYrGYdRzyD48fP8b333+PkydPYtGiRRg9erTMZ8uV\nlJRAX18fR48ehampqUzHIu999dVXmDJlCoYNGybzsW7fvo2ZM2ciNTUVoaGhcHZ2FnxDM3XqVKir\nq2PlypWsoxAe8Pf3h6qqqqBudq9wR86A97fL6d27N3bs2ME6iiAFBwfD3t6eGjMeatmyJSIjI7F/\n/36Eh4ejR48eiIuLk+mYUVFRMDAwoMZMjuQxMeD169fw9/dHr169YGNjgxs3bsDFxUXwjVlycjIO\nHDiABQsWsI5CeKCgoABbt27FlClTWEepFoVszoD3xW3NmjW8X9STb+7cuYONGzdi0aJFrKOQz+je\nvTvi4uLg7e0NNzc3jB49Go8fP5bJWEK7VkMRDBo0CHfv3sWNGzekvu2ysjJERETAyMgIr169ws2b\nNxEQEIB69epJfSx54zgOvr6+CAwMRJMmTVjHITywa9cudOvWDe3bt2cdpVoUtjnr378/3r59i0uX\nLrGOIij+/v4ICAiArq4u6yjkP6ioqGD06NFIS0tDmzZtYGZmhqCgIBQUFEhtjFu3buHmzZsYOnSo\n1LZJ/puamhomT56MtWvXSnW7Z8+ehVgsxpYtWxAdHY2IiAhoa2tLdQyW9u3bh9zcXEyePJl1FMIT\nQt25VNjmTEVFBZ6envj1119ZRxGMEydO4ObNm/D19WUdhVRDgwYNEBwcjISEBCQnJ8PExAR79+6V\nylHj8PBwTJo0iZYiYGDy5MnYsWMHXr9+XettPXz4EMOGDYOHhwfmzJmDc+fOwcrKSgop+aOgoAAB\nAQFYuXIl3WaOAADi4+Px/PlzDBw4kHWUalPICQHlXr16BUNDQ5w5cwbGxsas4/BaaWkpunbtikWL\nFmHQoEGs45Ba+Ouvv+Dr64smTZpg5cqVMDc3r/R5paXA3r1AZCSQlARkZ79/XFsbsLQEnJxy8OOP\nJrh58yodSWVkzJgJyMsbiMLCbyr9NxozBnBzAz610sW7d++wdOlS/Prrr5g+fToCAgIEsTp6TQQH\nByMpKQn79u1jHYXwhMP/Y+/O42rK/z+Av4oSsjYojTVbRaSoJhlbpbRQ9opC06gp2cY6X/sXYxnL\nCFNEGRq7lDa7ZtBqJ2RJSkRk6Va3e35/+HW/0yhTufd+zr33/Xw8PNRdznndbvfd+3zO55xjZwcH\nBwf4+fmxjlJjCt2cAcCaNWtw8eJFHD58mHUUXvv1119x9OhRJCQkyP2EYPKx2Q4JCcGiRYswfPhw\nLF++HC1atBDfn5MD6OpWb1k5OQD1ZrL3Je8Rx3HYt28f5s6dC0tLS6xevRpt27aVTlAeePr0KYyM\njJCcnCx3c4uIdJw9exaTJ0/G7du35XLkX+Gbs6KiInTp0gUHDhyAubk56zi89PLlS+jr6+P06dPo\n3r076zhEggoKCrB06VLs2bMH8+fPh5+fH/Lz1av9R78cNWiyVZPG7O/P0dEBUlJSMG3aNAgEAmzc\nuBH9+vWTTkge8fDwQNu2bbFixQrWUQgPcBwHc3NzBAYGyu25OhW+OQOAkJAQ7NmzB2fOnKFRoUr8\n8MMPAEDz8xTY7du3MX36dDx8+AR3796s1TJKS6vefUYkRygE1NRq99yJE6cgLi4aK1aswMSJE5Vi\n7tWlS5fg6uqKjIwMaGpqso5DeODw4cNYtmwZUlNTpX4eSGmRz9Q15OnpiWfPniEuLo51FN65ceMG\n9u/fjyVLlrCOQqRIX18fMTExcHYOr/UyaCqPbBw8WPvnvno1EBkZGZg0aZJSNGYikQjTpk3DypUr\nqTEjAD5O6ViwYAFWrlwpt40ZoCTNWd26dbFixQr4+vrC1tYWAwYMgK2tLaKjo1lHY6r8nED/+c9/\noKWlxToOkTIVFRXcuFH7i/7u3i3BMKRKYWG1f65Q6KZUl9jas2cPANA1Xwmio6Nha2sLQ0ND5OXl\nQSgUso70RZRmJ0W9evWQk5ODhw8fim/LzMwEAAwbNoxVLKYiIyPx7NkzfP/996yjEBlJS/vMnZ2j\nAKgA9yr/PKSnSyUS+YfPvkf/Qpneo7dv32LevHk4dOiQXI+QkC8XHR2NadOmif+mA0BgYCBUVFTk\n9u+7Usw5AwBbW1vEx8dXentsbCyDRGwVFxfDwMAA27Ztg7W1Nes4REaqnHLZORpwc/j49Z5o4L59\npQ9TjmrB1pdOi1WW92j+/PnIzs5G2JcMNRKFoIh/35Vm5Ky4uLjS2wUCgYyT8MOGDRvQvXt3aswI\nIXLnwYMH2L59O65du8Y6CuEBRfz7LrdjwY8eParyQswLFixA165dYWBggM2bNwNAldeN09DQkFpG\nvnr27BnWrFmDdevWsY5CZKzKK/XcGwb8HvXZUTNt7c8vWyAQwMzMDL169YKBgQHmzZv3ZWEV2Ofq\nV8OGCwB0BWAAYHONlvtv75GimD17NmbMmAHdmp5vhCgkSf1951MNU7iRs9DQUDx9+hQZGRkAgBcv\nXgAAAgICkJmZWWGftJ6eHvz9/ZnkZGn+/PmYPHkyOnXqxDoKkbHevYGYmCrurGKuWTlj488vW0ND\nA2fOnEGDBg0gFArRr18/JCYmKsV5tiQlNDQUTZs+xfv3Gf9/y4saPf/f3iNFcPr0aaSlpYkPBiDE\nzs4OJ0+ehEgkEt9Wm7/vfKphct2cCYVCuLu7Iy0tDYaGhggLC8O2bduwb98+8WPKz4pePilw8+bN\nePfuHVJTUzFhwgS5nSxYW8nJyYiNjcWdO3dYRyEMTJjwmebsX0yc+O+PKb80UElJCcrKytC8efPa\nrUwJVFW/Zs/eh/9d3rbF5xbxieq8R/JMKBQiMDAQa9euRf369VnHITxQUlKCHTt2YPr06bhx4wYE\nAgE0NDTg7+9fq7/vvKlhnJx6+PAhp6Kiwv31118cx3HcpEmTuDVr1nBaWlrcihUrOFNTU87Ozo67\nd+9epc+Pj4/n2rRpw71+/VqWsZkSiUSchYUFt2PHDtZRCCOlpRz3ccp4zf+Vlv778svKyriePXty\nmpqa3OzZs6X/guTU5+rXsmUrOMCUA+w44J7E3yN5FhQUxA0YMIATiUSsoxCeWLhwIefo6Cix3wm+\n1DC5nXMGAG3atIGFhQWAj+e5SUxMRHFxMerXr4/k5GR4e3tj0qRJlT7X2toadnZ2mDVrliwjM7Vv\n3z6UlJTA09OTdRTCSN26Hy/zU1M5OdW7OoCqqiquXLmC7OxsnD9/HmfPnq35ypREVfWrYcP6yMlJ\nBuANoPL6VZnqvkfyqqCgAIsXL8aGDRvoSi8EAJCamort27dj+/btEvud4EsNk+vm7O9vBsdxUFVV\nRZs2beDi4gIAGD58+GeP5lmzZg0SEhKU4soB79+/x5w5c7Bx40Y6J5CS09GpWYNWm+tqNmnSBMOG\nDUNKSkrNnqhEPle/dHSAp0+HA6je0YjKcO3TJUuWYMSIEejZsyfrKIQHygca1q9fDx0p/PKzrmFy\n/Vc6KysLly5dAgDs3bsXVlZWcHZ2xunTpwEA586dQ9euXat8fuPGjREcHAxvb2+8efNGJplZ+fnn\nn2FlZQVLS0vWUQgPNG1ahC5dDBEYeAl2dhWP8tPWBuzsgIiIj9fTrG7dy8/Px+vXrwEARUVFSEhI\ngLEyzFCvpX+rX3fvnkOfPl0REYEq36NduwTo2LErkpMjWbwEmbl16xZ+//13LFu2jHUUwhPLli1D\nhw4d4ObmJrFl8qmGye1JaB8/foyhQ4fC1NQUqampMDQ0RHh4OIqLi+Hm5oasrCw0atQI27Ztq/KQ\n9XI+Pj4QiUQIDg6WUXrZevz4MUxMTJCeno42bdqwjkN4YPbs2Xj8+DH2798vsWVev34dEydOhEgk\ngkgkgoeHB2bPni2x5SsSSdav8+fPY9y4cbh+/bpCHoDBcRyGDh0KOzs7BP7vSAmixFJTU2FnZ4er\nV69KdNSMTzVMbpszSSosLISRkRG2b98OW1tb1nEkbsyYMTAwMMCiRYtYRyE8cPHiRbi4uODatWvi\no5mJfJs2bRpevXqF8PDaX9ier6KiojB79mxcu3YNampqrOMQxkpKSmBiYoI5c+Yo9DVVqTn7fwkJ\nCZg8eTKuX7+OJk2asI4jMefPn4eHhwdu374tPkSYKK+ioiIYGxtj+fLlGDlyJOs4RELev3+Pnj17\nYv369XBycmIdR2JKSkrQvXt3bNq0CUOHDmUdh/DATz/9hKtXr+LYsWMKfWAINWd/4+fnh6dPn+Lw\n4cMKMWm+rKwMffr0wZw5czBmzBjWcQhjHMfB09MTpaWl2Lt3L+s4RMISExMxcuRI/PXXX+jYsSPr\nOBKxbt06nD59GtHR0ayjEB6Ii4uDp6cn0tLSpHIQAJ9Qc/Y3JSUlGDx4MAYOHIilS5eyjvPFQkJC\nsHv3bpw/f16htzBI9axfvx7h4eFITExEw4YNWcchUrBlyxZs27YNf/31Fxo1asQ6zhfJy8uDoaEh\n/vzzz88e2EWUw927d2FlZYVDhw4pxVVHqDn7h+fPn6Nv3774+eefMXr0aNZxau3Nmzfo1q0boqOj\n0bt3b9ZxCGOxsbGYNGkSLl26hLZt27KOQ6SE4zj4+Pjg+fPncr8HwNvbG40bN6ZrABO8fv0a5ubm\nmDVrFqZMmcI6jkxQc1aJK1euwNraGvHx8XJ7KoBZs2bh9evXCAkJYR2FMJaRkQErKyscPnxYKbY4\nlV35HoABAwbI7akn0tLSYG9vjzt37qBp06as4xCGysrK4ODggM6dO2PTpk2s48gMNWdVOHDgAGbN\nmoWkpCS0atWKdZwauXv3Lr755hvcvHlT7rITyXr9+jXMzMwwe/ZspdniJP/bA7B69Wq5m2/KcRz6\n9++PCRMmwNvbm3Ucwtjs2bORlpaG2NhYpTpaV4Ev9vFlRo0ahRs3bsDFxQWnT59GvXr1WEeqtpkz\nZ2Lu3LnUmCm5srIyjB07Fra2ttSYKZmWLVvi6NGjsLa2RufOneVqasOBAwfw9u3bKi+9R5RHWFgY\nDh8+jKSkJKVqzAAaOfsskUiEkSNHolmzZggJCZGLSfWxsbEICAjAjRs3oK6uzjoOYWjWrFm4cuUK\nYmNjUVeRL7pIqnTo0CHMmDFDbvYAfPjwAfr6+ggLC8O3337LOg5h6NKlS3B0dMTZs2dhaGjIOo7M\nye9sURlQVVVFWFgYkpOTsXnzZtZx/lVpaSmmT5+O9evXU2Om5MLCwnD06FH88ccf1JgpMVdXV3h6\nesLFxQXFxcWs4/yrtWvXwszMjBozJff06VO4urpix44dStmYATRyVi0PHz6EhYUFwsLCYGNjwzpO\nlTZu3IiYmBjExMTIxSgfkY6LFy/CyclJabc4SUXlewCaNm2KHTt28LY2PHnyBL169UJqairat2/P\nOg5h5P379xg4cCCGDx+O+fPns47DDDVn1XThwgW4uLjgyJEjvDziLT8/H/r6+jh37hwMDAxYxyGM\npKenw9bWFrt27YK9vT3rOIQn3r17h0GDBqFfv35Yt24dLxu08ePHo1OnTgpxjklSOwKBAI6OjtDV\n1UVoaCgvf09lhZqzGkhISICbmxuioqLQt29f1nEq8PX1hZqaGjZu3Mg6CmHkxo0bGDJkCLZs2QJX\nV1fWcQjPFBQUYNCgQbC3t8eKFStYx6ngzz//xNixY3Hnzh06QbKSKikpwYgRI9CoUSPs2bNH6adj\nUHNWQ1FRUZg8eTJiY2N5cw60a9euwdraGnfu3EGzZs1YxyEMZGRkYODAgVi3bh3GjRvHOg7hqRcv\nXmDgwIEYO3YsFi5cyDoOgI+7Xfv27Yvp06fDzc2NdRzCQGlpKcaMGQOO47B//36lOzKzMnRAQA05\nODhg69atsLe3x/Xr11nHAcdxCAwMxOLFi6kxU1KZmZkYMmQI/vvf/1JjRj6rRYsWOHnyJMLDw7Fm\nzRrWcQAAu3fvhrq6OsaPH886CmFAKBRi4sSJKC4uRkREBDVm/0+5xw1rycXFBSUlJbCxsUFMTAx6\n9erFLMuRI0eQn59PJ2tUUhkZGbC2tsbChQvh6enJOg6RA9ra2jh9+jQGDBgAoVCIefPmMctSWFiI\nBQsW4NixY0o9v0hZlZaWwt3dHQUFBYiMjJSr84lKGzVntTR27FioqanB1tYWUVFR6NOnj8wzCAQC\nzJo1CyEhIUq/f14Z3bhxA7a2tli+fDm8vLxYxyFyRFdXF+fOncPgwYMhEAiwePFiJs3RihUrYGtr\ny6R+EraKi4sxZswYlJWVITIyEhoaGqwj8Qr9Rf8Crq6uUFdXx7Bhw3DkyBFYWlrKdP2//PILevXq\nhUGDBsl0vYS99PR02NnZYf369bQ7iNRK69atce7cOQwZMgQCgQCrVq2SaYN2//597NixgxfTQ4hs\nFRUVwdXVFfXr18f+/fvpvJyVoAMCJCA+Ph7u7u6IiIiQWaOUk5MDIyMjJCUloWPHjjJZJ+GHy5cv\nw8nJCUFBQXRUJvliL1++hI2NDSwtLbFhwwaoqspmKvLw4cNhbm6OuXPnymR9hB/evn2LESNGoGXL\nlggLC6O9PlWgAwIkwMbGBgcOHMC4cePw22+/yWSd8+bNw3fffUeNmZLZu3cvHBwcsHPnTmrMiERo\naWnh1KlTuHr1KoYPH47CwkKprzMhIQHXr19HYGCg1NdF+OPhw4f45ptv0KlTJ4SHh1Nj9hnUnEnI\nt99+i8TERGzYsAF+fn4oLS2V2rouX76MkydPMp3IS2SrrKwMc+fOxcKFC3H69GkMGzaMdSSiQJo2\nbYqEhAS0bt0a33zzDTIzM6W2LqFQiMDAQKxbt47mGSmRM2fOwMLCAj4+Pti6dSvq1KnDOhKvUXMm\nQZ07d8bFixfx+PFj2NjYID8/X+LrEIlEmDZtGv773/+iUaNGEl8+4Z/CwkI4Ozvj8uXLSEpKQo8e\nPVhHIgpIXV0d27Ztg5+fHywtLXHq1CmprGfbtm3Q0dGBs7OzVJZP+CcoKAjjxo3D77//jh9++IGO\nzK0Gas4krEmTJjh27BjMzMzQt29fiU923bt3L0QiETw8PCS6XMJP9+7dg7m5Odq1a4f4+Hh89dVX\nrCMRBTd16lTs27cPbm5u+PXXXyHJackvX77E0qVL8csvv9AfaCVQUlKC77//Hlu2bMGff/6JwYMH\ns44kN+iAACn6/fffERgYiODgYAwfPvyLl/fu3Tt069YNBw4cgIWFhQQSEj5LSEiAu7s7li5dCh8f\nH9ZxiJJ58OABnJ2dYWFhgV9//VUiR9T5+/tDJBJhy5YtEkhI+OzFixcYOXIkmjRpgj179qBx48as\nI8kVas6kLDk5GS4uLvDx8cGCBQu+aGtx4cKFePz4McLDwyWYkPANx3HYvHkzVq5ciT/++AP9+/dn\nHYkoqbdv38LDwwMvX77EoUOH0LJly1ov68aNGxg0aBBu374NLS0tCaYkfHPt2jU4Oztj/PjxWLZs\nmcyOAFYk1JzJQG5uLkaMGIF27dph586dlV7YVygEDh4EwsKAtDQgL+/j7a1aAb17A0OHPseSJT1w\n7VoadHV1ZfwKiKwUFxfD19cXKSkpOHbsGNq3b886ElFyIpEIixYtQnh4OI4ePVrpFVH+rX55eHAI\nDrbFiBGO8Pf3l/ErILJ0+PBh+Pj4YNOmTXQ5uS9AzZmMCAQC+Pr6IjExETt37kS/fv3E9+XkANXt\nt3JyAB0dKYUkTKWmpsLT0xPdunVDaGgoNDU1WUciRGz//v3w8/PDrFmzMHPmTPFpEGpSvx4/LkXb\ntnTtREVUWFiImTNnIiEhAYcOHYKJiQnrSHKNxhplRENDAzt37sTPP/+M0aNHY/r06fjw4UONChsA\ntG4N5OZKLyeRveLiYvz000+wt7fH3LlzsX//fmrMCO+MHj0aycnJSEhIgKWlJW7dulXj+tWunRrV\nLwUUHx+PHj16QFVVFdeuXaPGTAJo5IyBly9fIiAgAElJabh//3atllFaCtD5++Rf+WiZnp4etm3b\nBm1tbdaRCPksjuPw22+/YcGCRXj58lmtlkH1SzGUj5bFx8cjJCQE1tbWrCMpDBo5Y0BLSwu///47\nnJzCar2MQ4ckGIjI3D9Hy44cOUKNGZELKioq8PHxwaJFtT9NENUv+ff30bLr169TYyZhtO3C0O3b\nfWr93N27gTFjJBiGSEV0dDQ2bdqE4uJi1KtXDwEBAdDW1oanpyc6duyIK1euQIcmERI5FBPTotbP\npfolP/5ZwyZPnoyEhAQaLZMy2q3JkLb2/45q+qdhiAIHFZxA5Zfp0damuWd8Fx0djWnTplW4FE6z\nZs3E53kaP348nYiTyK3P1S+YvwQ4AJcrP2UG1S/5UFkNq1OnDoYMGYL9+/fTucukiHZrMlRVYbNH\nNKLgiGg4wA4nKn3Ms9pN9SAytGnTpk+uUVhQUABjY2O4ublRY0bkWpWNmdlLYOV1YNX1j19XguqX\nfKishpWVlQEANWZSRs0ZIVJSXFxc6e00WE0IkQdv376t9HaBQCDjJMqH5pwx1KpV5VufJzBMvFsz\nBvaVPpfmjvPb1atXcePGjUrv09DQkHEaQiSvqvqFy1rA3B7/+7oSVL/47c2bN1izZg2Sk5MrvZ9q\nmPTRyBlDvXtXfd8JDKuyMQMAY2MpBCJf7MGDB3B3d4etrS1cXV3RsWPHCvfr6enRGdKJQvhc/cJl\nrSobM4DqF18JBAKsW7cOnTt3xtOnT/Hbb79BT0+vwmOohskGjZwxNGECEBNTu+cOG5YP4CuJ5iG1\nl5eXh+XLl2Pfvn0ICAjA1q1b0ahRI0RHR2Pz5s0QCATQ0NCAv78/hg2r/CAPQuTJl9SvXr2uguOM\naN4lTwiFQoSFhWHx4sXo3bs3zpw5A0NDQwBAy5YtqYYxQEdrMiQUAmq1vJJJs2YtMWHCePzwww/o\n1KmTZIORasvKykJQUBCCg4Ph4eGBBQsWoEWL2p9igBB58SX1q1MnfbRt2xqzZs2Cra0tXRibEYFA\ngP3792PVqlX46quvsGrVKnzzzTesYxHQbk2m6tb9eF26msrJAW7cuAJ1dXV88803GDp0KCIjI8VH\n0RDpEolEiIuLg7OzM4yNjSEQCJCamooNGzZQY0aUxpfUr1u3rsHd3R0LFy5E586dsWbNGrx8WfmR\nnUTyMjMz8eOPP6JNmzaIiIjA+vXrce7cOWrMeIRGznggN/fjNTOr458XPhcIBDhw4ACCgoKQk5MD\nHx8fTJ48Ga1atZJOWCX26tUrhIaGindZ+vn5Ydy4cWjYsCHraIQw8yX1i+M4JCUlISgoCJGRJQWJ\nNgAAIABJREFUkXB2doavry/69OlDuzwlrKysDDExMQgKCkJycjK8vLzg4+PzyZwywg/UnPGEUPjx\nkia7dwPp6f87D5C29sfJsxMnAq6un78eXVpaGrZu3YqDBw/Czs4Ovr6+sLS0pCL3hZKTkxEUFISj\nR4/C0dERvr6+MDMzo58rIf9PEvUrPz9fvPHTvHlz+Pr6YuzYsWjQoIFsXoSCev78OXbu3Cm+dq+v\nry9GjRqF+vXrs45GPoOaM4bat2+Pxo0bo06dOlBTU0NSUpJElltQUICwsDAEBQWhXr16mDp1KkaO\nHEm73GqgoKAAR44cwdatW5Gfn4+pU6fCy8tLJj/DsrIymJqa4uuvv8bx48elvj5CaksaNax82kBQ\nUBAuXrwIDw8PeHl5oUePHrRBVE1CoRCJiYkICQlBdHQ0XFxc4OvrCxMTE6mvm+qXZFBzxlCHDh2Q\nmpqK5s2bS2X5HMfh9OnT2L59O+Li4mBkZARHR0c4OTmha9euVOj+ITMzE8ePH0dkZCRSUlIwaNAg\nfPfdd7C1tUWdOnVklmP9+vVITU3F27dvERkZKbP1ElJT0q5hjx49wvbt2xEREQGO4+Dk5AQnJyf0\n798f6urqUlmnvHr79i3i4uIQGRmJEydOoE2bNpgwYQI8PT3RrFkzmeWg+iUZdEAAY9LsjVVUVDB4\n8GDs378feXl5mD9/Ph49eoQhQ4aga9eumDVrFs6fPw+hUCi1DHxWVlaGixcvYt68eTA0NISlpSVu\n3ryJ6dOn49mzZzh69Cjs7e1l2phlZ2fjxIkTmDJlCl1JgMgFaf6etm/fHitXrsSDBw8QFRUFbW1t\nLFy4EK1atcLYsWOxd+9eFBQUSG39fPfkyRMEBQVh6NCh0NXVRUhICMzNzZGeno709HRMnz5dpo0Z\n1S/JoZEzhjp27IgmTZqgTp068PHxgbe3t0zWy3Ec0tPTERkZicjISGRlZcHe3h6Ojo6wtbVV6Gum\nvX//HidPnkRkZCSioqLQsmVL8dZ4nz59mB/SP2rUKMyfPx+FhYVYu3Yt7RYgvMaqhj179gxRUVGI\njIzE2bNnYWJiIv4cK/IEd47jkJaWJq7dT548wbBhw+Dk5AQbGxs0atSIaT6qX5JDJ6Fl6M8//4SO\njg5evHgBa2trdOvWDVZWVlJfr4qKCnr37o3evXtj8eLFePLkCY4fP46dO3fC09MTHTt2hKmpKUxM\nTGBiYoKePXvK5aRcgUCAa9euITU1Vfzv7t27sLCwgKOjIxYsWPDJGfxZKm8WjY2NcfbsWdZxCPlX\nrGqYtrY2pkyZgilTpuDDhw84deoUIiMjsXr1atSpU0dcu8r/6fz9EFE5wXEcHjx4IK5dKSkpSEtL\nE29Qbtq0CRYWFqj7uaMsZIjql2TRyBlPLFmyBJqampg5cybTHMXFxbhx4wZSUlLEReH27dvQ09OT\neMMWHR2NTZs2obi4GPXq1UNAQECtzzxdWSOWkZGBLl26VCjSRkZGvD1Kaf78+QgPD0fdunUhEAhQ\nWFgIV1dXhIWFsY5GyL/iQw3jOA6PHj2qUAdSUlJQv359iTdskqxfVTVimpqaMDExqVB7W7Zs+UW5\npYXql2RRc8bIhw8fUFZWhkaNGuH9+/ewsbHBokWLYGNjwzraJ8obtvKiUd6wdejQAW3btoWOjg50\ndHTQunXrCv9ra2ujXr16lS4zOjoa06ZNQ2Zmpvg2PT09bNy48ZMCV1paimfPniEnJwe5ubnIzc0V\nf52Tk4Ps7Gzcv3+/QiNmamoKIyMjub1A77lz52i3AOE1ealhlTVsqamp0NDQQKdOnT6pW3//unHj\nxpUeOFWT+sVxHF6+fFlp/Sr/+vbt23LViP0bql9fjpozRh4+fIgRI0YA+HjYs5ubG+bNm8c4VfUV\nFxfjzp07ePr0aYVG6e//5+XloXHjxuKCp6mpibp160JNTQ1nzpxBbm7uJ8tt1aoVvvnmG3z48EG8\nrNevX6Nly5ZVFlFdXV3o6+vLbSNWmXPnzmHdunV0tBPhLXmuYRzH4fHjx3j48OEndav865ycHHAc\nJ641WlpaUFNTQ926dXHu3LlK65e2tjYsLS1RUlKC58+fIzc3F8+ePUPDhg0rbf7K/+/cubNCnTic\n6teXo+aMSI1IJEJ+fr642H348AFCoRBCoRDLli1DRkbGJ8/R19fHsmXLUL9+fXHx+uqrr2R6xCQh\nhAAfT09R3rC9evVKXL+WLFlSaf3q1q0bli1bhrp166Jly5biZkyRNhyJbFBzRpiwtbVFfHx8pbfH\nxsYySEQIIdVD9YtIG53njDAREBDwySHvenp68Pf3Z5SIEEKqh+oXkTZ+HINLlE75pNnNmzdDIBBA\nQ0MD/v7+tT7aiRBCZIXqF5E22q1JCCGEEMIjtFuTEEIIIYRHqDkjhBBCCOERas4IIYQQQniEmjNC\nCCGEEB6h5owQQgghhEeoOSPMPXr0CD169Pjkdk9PT3Ts2BHGxsYwNjbGtWvXGKQjhJCqUf0i0kDn\nOSO8paKigrVr18LFxYV1FEIIqRGqX+RL0MgZ4QWhUAh3d3cYGBhg1KhRKCoqAvDxAsWEEMJnVL+I\npFFzRnghIyMDfn5+uHXrFho3boygoCAAwLx589CzZ0/MmDEDJSUljFMSQsinqH4RSaPmjPBCmzZt\nYGFhAQBwd3dHYmIiVq1ahbt37yI5ORmvXr3C6tWrGackhJBPUf0ikkbNGeEFFRUV8dccx0FFRQWt\nWrUCAKirq8PLywtJSUms4hFCSJWofhFJo+aM8EJWVhYuXboEANi7dy+srKzw7NkzAB+L3ZEjRyo9\nIooQQlij+kUkjS58Tph7/Pgxhg4dClNTU6SmpsLQ0BBhYWFwcHDAixcvwHEcjI2NsW3bNjRo0IB1\nXEIIEaP6RaSBmjNCCCGEEB6h3ZqEEEIIITxCzRkhhBBCCI9Qc0YIIYQQwiPUnBFCCCGE8Ag1Z4QQ\nQgghPELNGSGEEEIIj1BzRgghhBDCI9ScEUIIIYTwCDVnhBBCCCE8Qs0ZIYQQQgiPUHNGCCGEEMIj\n1JwRQgghhPAINWeEEEIIITxCzRkhhBBCCI9Qc0YIIYQQwiPUnBFCCCGE8Ag1Z4QQQgghPELNGSGE\nEEIIj1BzRgghhBDCI9ScEUIIIYTwCDVnhBBCCCE8Qs0ZIYQQQgiPUHNGCCGEEMIj1JwRQgghhPAI\nNWeEEEIIITxCzRkhhBBCCI9Qc0YIIYQQwiPUnBFCCCGE8Ag1Z4QQQgghPELNGeGl7t274/z586xj\nEEJIjVH9Il+KmjOC9u3b49SpU8zWP2nSJLRq1Qo9evQQ33bjxg30799f4uv68ccf0bZtWzRu3Bhf\nf/01ZsyYAaFQKPH1EEJkQ5nqV7lXr16hRYsWsLKykto6CFvUnBGoqKhARUVFpuv8e0Pk5eWF2NhY\nmax38uTJuHXrFgoLC5GUlIT4+HiEhITIZN2EEMlTpvpVbs6cOTAwMJD56yayQ80ZqWDXrl3o168f\nZs+ejebNm6Njx47iwvPHH3+gT58+FR7/yy+/wNnZGQBQXFyMWbNmoV27dtDW1sbUqVMhEAgAAGfP\nnsXXX3+Nn3/+GTo6Opg8eTJevnwJBwcHODk5YdCgQXjw4IF4uX/fGi4uLkZgYCB0dXWhq6uL6dOn\no6SkpMJy169fj1atWqF169bYtWtXla+va9eu0NTUBABwHAdVVVXo6OhI5odHCGFK0esXAPz111+4\nefMmvLy8wHGcRH5uhH+oOSOfSEpKQrdu3fDy5Uv8+OOPmDx5MgDA0dERGRkZuH//vvixe/fuhZub\nGwBg7ty5uH//Pq5evYr79+/j6dOnWLp0qfixeXl5KCgoQFZWFrZv3461a9eiTZs2yM/PR0pKClq1\naiV+7N+3hlesWIGkpCRcvXoVV69eRVJSEpYvX15huYWFhcjJycGOHTvg5+eHN2/eVPn6Vq1ahUaN\nGqFNmzZwcHAQF2dCiPxT5PpVVlYGf39/bNmyRXI/MMJPHFF67du3506dOsVxHMeFhoZynTp1Et/3\n/v17TkVFhcvLy+M4juPc3d25pUuXchzHcXfv3uUaNWrEFRUVcSKRiGvYsCGXmZkpfu5ff/3FdejQ\ngeM4jjtz5gynrq7OFRcXi+//z3/+wzk7O3P379/nHj58yHXv3r3STHp6elxMTIz4vri4OK59+/bi\n5davX58rKysT39+yZUvu8uXL//q609LSuLZt23KHDh2q5k+KEMI3ylS/1q9fz/n6+opfa79+/Wr6\n4yJygkbOyCe0tbXFXzdo0AAA8O7dOwDA+PHjsW/fPgAftzpHjBgBDQ0NvHjxAh8+fICJiQmaNWuG\nZs2awc7ODvn5+eJltWjRAurq6uLvZ8+ejU6dOsHGxgbffvstXrx4UWmenJwctGvXTvx927ZtkZOT\nI/5eS0sLqqr/+1Vu0KCBOO/nGBsbw9fXF+Hh4f/6WEKIfFDU+pWTk4PNmzdXGHUjiouaM1IjQ4YM\nwYsXL3D16lVERERg/PjxAICvvvoK9evXx61bt1BQUICCggK8fv0ahYWF4uf+c/KqpqYm1q5di8zM\nTAQHByM/Px9nzpz5ZJ2tW7fGo0ePxN9nZWWhdevWEnk9paWlaNiwoUSWRQjhN3muX0lJScjNzYWB\ngQF0dHQQGBiIpKQktG7dmuaeKSBqzkiNqKmpYdSoUZg1axYKCgpgbW0NAFBVVYW3tzcCAwPFW5BP\nnz5FfHx8lcuKjo7G/fv3MXbsWHh4eKCsrAxjxoxBaGhohceNGzcOy5cvR35+PvLz87F06VJ4eHjU\nODvHcdi+fTtev34NjuOQlJSEoKAguLi41HhZhBD5I8/1y97eHo8fPxbPXVu6dCmMjY1x5coVOmpT\nAVFzRiqo7LD0f34/fvx4nDp1CqNGjaowHL969Wp06tQJ5ubmaNKkCaytrXH37t0ql3Pv3j1YW1sj\nKioK6urqWL58OZ4/fw4vL68Kj1u4cCFMTU1hZGQEIyMjmJqaYuHChVUu93OOHj0KPT09NGnSBJMn\nT8by5cupOSNEQShy/VJXV0fLli3F/5o0aSK+jSgeFY7GQwkhhBBCeINGzgghhBBCeISaM0IIIYQQ\nHqHmjBBCCCGER6g5I4QQQgjhEWrOCCGEEEJ4hJozQgghhBAeoeaMEEIIIYRHqDkjMiUUAhERgL09\noK0NqKh8/Ket/fG2iIiPjyGEEL6h+kVkhU5Cy0hGRgbGjh0r/v7BgwdYtmwZAgICGKaSrpwcQFe3\n+o/V0ZFuHr559OgRHB0dcf369Qq3u7m5ITU1FWpqaujbty+2b9+OunXrMkpJyEfKVsOofn0e1S/J\nopEzRrp27Yr09HSkp6cjNTUVDRo0wIgRI1jHkpqaFDYAaN0ayM2VXh554u7ujjt37uD69esoKipC\nSEgI60iEKFUNo/pVe1S/aoeaMx44efIk9PT00KZNG9ZRpEIorFlhK9e6tfLtIhAKhXB3d4eBgQFG\njRqFoqIi2NnZie/v06cPsrOzGSYk5FOKXMOoflUf1S/JoeaMByIiIjB+/HjWMaTm4MHaP/fQIcnl\nkAcZGRnw8/PDrVu30LhxYwQFBYnvKy0txZ49eyoUO0L4QJFrGNWv6qP6JTnUnDFWUlKC48ePY9So\nUayjSE1YWO2fu3u35HLIgzZt2sDCwgLAx90BiYmJ4vt8fX3x7bffwtLSklU8Qj6h6DWM6lf1Uf2S\nHJqVx1hMTAxMTEzQokUL1lGkJi2t6vuGIQocVHACwyq9Pz1dSqF4SkVFRfw1x3Hi75csWYKXL18i\nODiYVTRCKqXoNexz9QvmLwEOwGWtSu+m+kX1q7aoOWNs3759GDduHOsYEiESifDixQvk5OQgNzcX\nubm5yMnJQV7eT5U+3h7RiIKj+OsY2H/ymGfPgODgYOjo6KB169bQ0dFBy5YtUadOHam+FlaysrJw\n6dIlmJubY+/evbCyskJISAji4+Nx6tQp1vEI+YSi1DCO4/D27Vtx3fpf/ZpV+RPMXgIr///IxLk9\nKm3Qnj0DNm3aVKF+6ejooH79+lJ8JexQ/ZIcas4Yev/+PU6ePClXWxPFxcW4fv06UlNTcfXqVWRn\nZ4sbsefPn6Np06YVClHr1q2/eJ2XL1+uUCwLCgrw1VdfiZevq6sLIyMjmJiYwMjISG4Ln4qKCrp2\n7YotW7Zg0qRJMDQ0xPfff4/GjRujffv24t0Frq6uWLhwIeO0hMhfDeM4Do8ePUJqairS0tLw4MGD\nCrVFRUWlQu3SkcD5MO7du4fz589X2GitX79+hXV06dIFJiYmMDExQatWrSTwSmWP6pdk0XnOSJX+\n3oiV/7t9+zY6deoEExMTGBsbo23btuIi06pVK6irq3+yHG1tIC+v8nXYIxocVCodNSt/7j8PSS8t\nLUVeXp64oD558gRXr15FSkoKMjIy0LlzZ5iamoqLnTw3bISQ2vl7I5aSkiJuyOrXry+uDZ07d67Q\nJDVq1OiT5XyufsHs5cf/q9itWVn94jgOBQUF4mbt6dOnuH37trjGampqivPJe8NGao+aMyL2+PFj\nxMXFiQtZeSP290anZ8+eNW507O2BmJjaZbKzA06cqP7jBQLBJw3lnTt30LlzZ5iYmMDU1BQ2Njbo\n1KlT7QIRQnipfBTv4sWLlTZi5f+0tbVrtFxZ1i+O4/Dw4cNPGsqGDRuK81tZWaFfv350IlcFR82Z\nEhOJREhNTUVkZCQiIyORk5MDOzs7mJmZ1boRq0xEBFDbKSkREcCYMV+2/vIRwJSUFCQlJSEmJgbN\nmjWDk5MTnJycYGZmprBz2AhRZDk5OTh+/DgiIyNx4cIF9O3bF/379xdvUEpixIl1/fp7w5aamopT\np07hwYMHsLOzg5OTE2xtbdGkSZMvWwnhHWrOlExRURFOnTqFyMhIREVFoWnTpnBycoKjoyPMzc2l\n0qQIhYCaWu2eW1oKSHoD8Z9NaW5uLoYNGwYnJydYW1tDU1NTsiskhEgEx3G4evWquCHLzMwUNylD\nhw6VSpPCt/oFAE+fPkVUVJS4KTUzMxPX8fbt20t+hUTmqDlTAs+fPxd/kE+fPo3evXuLP8idO3eW\nSYbc3I9nzK4JWV2f7tGjR+Jif/nyZVhZWcHR0RGOjo7Qrc2pwQkhElNSUoKzZ8+KN6bU1NTg7OwM\nJycnWFpaQq22nVMN8Ll+vXv3DidPnhRvcGtra4v3CvTp06fC6S2I/KDmTEFxHIczZ84gKCgIp06d\ngo2NDZycnGBnZ4fmzZszyVSTAsfqwsFv3rxBXFwcIiMjceLECfTr1w++vr6wsbGBqiqds5kQWcnK\nysL27duxY8cOdOjQQdyQ6evrM2k45KF+lZWV4fLly4iMjMTRo0cBAFOnTsXEiRPRtGlT2QcitccR\nhfL69Wtu06ZNXLdu3ThDQ0Nuy5Yt3Js3b1jHEist5biICI6zs+M4bW2OAz7+09b+eFtExMfH8MG7\nd++4kJAQztjYmOvYsSO3Zs0aLj8/n3UsQhRWWVkZFxsbyzk5OXHNmzfnAgICuNu3b7OOJSZP9Usk\nEnEXLlzgxo0bxzVt2pSbMmUKl5aWVq3nlpZy3L59H19Tq1b/e52tWn28bd8+/rxORUUjZwriypUr\n2Lp1K/bv3w9bW1v4+vrCyspKLoa0VVRUwOdfQ47jkJSUhKCgIERGRsLZ2Rm+vr60y4AQCXn16hVC\nQ0OxdetWNGrUCH5+fhg3bhwaNmzIOtq/4nv9AoC8vDzs2LED27Ztg66uLvz8/DBy5EhoaGh88tic\nnOpf6J3VCKEyoOZMjhUXF+PgwYMICgpCVlYWfHx8MGXKlBofKs6aPBS3cvn5+eI/Is2bN4evry/G\njh2LBg0asI5GiNxJTk5GUFAQjh49CkdHR/j6+sLMzEyuNnrkqX4JhUKcOHECQUFBSEtLw6RJk+Dj\n44MOHToAqFljVo4aNOmg5kwOFRUVYfPmzVi3bh169uwJX19fODg4yO15b+SpuJUTiUSIi4tDUFAQ\nLl68CH9/f8yYMaPSk1gSQio6efIkFi5ciLy8PEydOhVeXl5ye21OeaxfwMcrF2zfvh27du2ClZUV\nFi9ejl69DGu1LGkdlarMqDmTI0KhEKGhoViyZAnMzc2xdOlSGBgYsI71xeS1uJXLzMzE4sWLkZCQ\ngPnz58PHxwf16tVjHYsQ3klJScHcuXORlZWF5cuXw9XVVe7PMSjv9evDhw/Yvn07Fi++g8LC7bVa\nhiTO50YqouaMh6Kjo7Fp0yYUFxejXr168Pf3h0AgwIIFC6Crq4tVq1ahb9++rGNKjLwXt3LXrl3D\nvHnzcOvWLSxduhTjx49HbGxshfcyICAAw4YNYx2VEKn5Z/0KCAhA586dsWDBAvz111/4z3/+g0mT\nJsnkFBiyoCj1y8amFAkJtXtPanolBPLvqDnjmejoaEybNg2ZmZni2+rVqwddXV1s3boV1tbWcjUf\nozoUpbiVO3/+PObOnYucnBwUFxfj2bNn4vv09PSwceNGatCIQqqsfpXv6p8/fz4CAgIUbn6motSv\nz15DtBrP/ec1RMmXoeaMZ2xtbREfH1/p7bGxsQwSSZ+iFLe/4zgOvXv3xpUrVz65T5HfS6Lcqqpf\ngwYNwqlTpxgkkj5FqV9fus2vAD8CXqGzavJMYWFhpbcLBAIZJyFfQkVFpcpLydB7SRRVVb/bZWVl\nMk5CiHyj5ownOI7Dzp07kZqaWun9lZ2PhvBbVQcF5OXlQSQSyTgNIdJ18+bNSkeKAapf8uBLrhEv\nZ2dvkgvUnPFAdnY27O3t8euvv2L9+vXQ09OrcL+enh78/f0ZpSO1FRAQ8Ml72aZNGwDAwIEDK8zL\nIUReCYVCrFy5EgMGDICHhwfVLznVu3ftn2tsLLkc5CM6MwlDHMchNDQUc+bMQUBAAObOnQs1NTV0\n6NABmzdvhkAggIaGBvz9/WkCuRwqf8/++V4OHToUGzduhJmZGRYtWgQ/Pz+6bieRSzdv3oSnpyea\nNm2KlJQUtGvXDtHR0VS/5NCECUBMTO2eO3GiZLMQOiCAmezsbHh7eyMvLw+7du2CkZER60jMKMqE\n2prKyMjApEmTULduXezcufOTEQdC+EooFGLNmjVYv349VqxYAW9vb4U7iry6FKV+CYVAbc9usnfv\nAYwbN0qygZQcba7LWPncMmNjY3zzzTe4fPmyUjdmyqxr1644f/48nJ2dYWZmhs2bN9NcNMJ7N2/e\nhIWFBU6fPo2UlBR89913StuYKZK6dT9eiqmmjh9PxdKl/8GoUaPw/PlzyQdTUtScydDf55adOnUK\nP/30k8KciJHUTp06dTBjxgz8+eefiIiIwMCBA/HgwQPWsQj5xN/nlnl7eyM+Ph7t2rVjHYtIkI5O\nzRq0nBzAwcEE6enp6NixI4yMjHDgwAHpBVQi1JzJSGJiIvr06QNzc3MaLSOfKB9Fc3JygoWFBeLi\n4lhHIkSsoKAAw4YNQ3x8PI2WKbj09BPo1Ekfe/YIYWdX8UhMbe2PVwOIiPh4Pc3yC55raGhg9erV\nOHr0KObPn4/AwEAIhUI2L0BB0JwzGQgODsbChQsRFhYGW1tb1nF4R1HmbEjKhQsXMHr0aMyePRvT\np0+nP4KEqTt37sDJyQnDhg3DmjVrUJeucF2BItWvkpISGBkZYd26dbU+iKOgoABjx46FSCTCH3/8\ngebNm0s4pXKgkTMpKi0thb+/P9atW4cLFy5QY0aqxcrKCpcuXUJYWBi8vLzopLWEmZiYGPTv3x9z\n587FL7/8Qo2ZgtuyZQs6dOgAe3v7Wi+jWbNmiI6OhpGREczMzHD79m0JJlQeNHImJS9fvsTo0aOh\nrq6Offv2oWnTpqwj8ZYibXlK0vv37+Hp6Yns7GwcPnwYOuX7EAiRMo7jsHbtWvzyyy84cOAALC0t\nWUfiLUWpX8+fP4ehoSHOnz8PfX19iSxz165d+PHHH7Fz5044ODhIZJnKgkbOpODmzZvo27cvTExM\nEBUVRY0ZqZWGDRti//79sLe3R9++fZGSksI6ElECAoEAEyZMwL59+3Dp0iVqzJTETz/9BHd3d4k1\nZgDg6emJY8eOwcfHB6tXr1aIJlZWaORMwiIjIzFlyhSsW7cOHh4erOPIBUXZ8pSmI0eO4LvvvsPG\njRsxfvx41nGIgsrJycGIESPQvn17hIaGokGDBqwj8Z4i1K8rV67A1tYWd+7cQbNmzSS+/OzsbAwf\nPhxdu3ZFSEgI6tevL/F1KBoaOZMQjuOwYsUK+Pr6IioqihozIlEjRozA6dOnsXDhQsydO5cuJE0k\n7vLly+jbty+cnJwQERFBjZmS4DgOgYGBWLJkiVQaMwD4+uuvceHCBXAch/79+yM7O1sq61Ek1JxJ\nQFlZGby9vXHs2DEkJSWhb9++rCMRBdSjRw8kJSXh0qVLGDduHEpLS1lHIgrixIkTcHBwwJYtW7Bg\nwQI6QliJHDp0CAUFBfD29pbqeurXr4/ff/8drq6usLCwQEZGhlTXJ+9ot+YXEgqF8PT0xNOnT3H8\n+HFoamqyjiR3FGG3gCwJBAKMHj0aqqqq+OOPP1CvXj3WkYgcO3LkCHx8fBAZGQlzc3PWceSOPNev\noqIi6OvrIzQ0FAMHDpTZenft2oUFCxYgLi4O3bt3l9l65QmNnH2B0tJSjBs3Di9evEB0dDQ1ZkQm\nNDQ0cPDgQdStWxfDhw9HUVER60hETv3xxx+YOnUqYmJiqDFTQuvWrYOpqalMGzPg44ECa9euxZAh\nQ5CWlibTdcsLGjmrpeLiYowePRocx+HAgQM0evEF5HnLkyWhUIiJEyciNzcXkZGRtHFAamT37t2Y\nN28eYmNj6YolX0Be69fTp09hZGSElJQUdOjQgUmGw4cPY+rUqYiMjISZmRmTDHxFzVktlJSUwMXF\nBRoaGti7dy/U1dVZR5Jr8lrc+KCsrAzfffcd7t+/j5iYGJrETapl9+7dWLBgARISEiTC2c+ZAAAg\nAElEQVR66gRlJK/1y8PDA23btsWKFSuY5oiOjoaXlxeioqJovvbfUHNWQ0KhEGPGjIFIJML+/fvp\nwuUSIK/FjS9EIhG8vLyQk5OD48ePQ0NDg3UkwmN//PEHpk+fjtOnT6Nbt26s48g9eaxfFy9exMiR\nI5GRkcGLEfeoqChMnjwZsbGxMDY2Zh2HF2jOWQ2UlZVhwoQJKCoqQkREBDVmhBdUVVWxY8cOaGlp\nYeTIkSgpKWEdifDUkSNHMG3aNMTFxVFjpqREIhGmTZuGVatW8aIxAwAHBwcEBQXB3t4eN27cYB2H\nF6g5qyaRSIQpU6bg+fPnOHToEM0xI7xSt25dhIeHQ01NDWPHjqXTbJBPnDhxAt9//z1OnDiBHj16\nsI5DGAkPD4eqqirc3NxYR6nA1dUV69atg62tLZ1mA7Rbs9pmzpyJ5ORkxMTEoGHDhqzjKBR53C3A\nV8XFxRgxYgS0tbWxY8cOOl8VAQBcunQJTk5OOH78OE28ljB5ql9v375Ft27dcPjwYd7+HoSGhmLR\nokW4fPmyUl9PmEbOqmHXrl04fvw4jh07Ro0Z4bV69erhwIEDSEtLw8aNG1nHITyQnZ0NV1dXhIaG\n8vYPMpGNlStXYvDgwbz+PfDy8sKUKVPg4uKC4uJi1nGYoZGzf3Hx4kU4Ozvj3LlzdFSTlMjTlqe8\nePz4MczNzbF7927Y2NiwjkMYKSoqgpWVFUaPHo0ff/yRdRyFJC/168GDB+jTpw+uXbsGXV1d1nE+\nSyQSYcyYMdDU1MTOnTuVcg8ANWefkZ2dDTMzMwQHB8Pe3p51HIUlL8VN3ly4cAEjR45EYmIiOnfu\nzDoOkTGO4+Dm5gZVVVWEh4cr5R84WZCX+uXi4gJTU1PMnz+fdZRqef/+PSwtLTFx4kRMnz6ddRyZ\nk9vdmo8ePap0Umv//v1hbGwMY2Nj6OrqYsSIEbVa/ocPHzB8+HBMmzaNGjMil6ysrLBs2TI4OTnh\nzZs3Ul/fkydPMHDgQBgaGqJ79+7YtGmT1Ncpr6RdvwBg9erVuHfvHoKDg6kxU3KnT59Geno6ZsyY\nwTpKtTVs2BDHjh3Dzz//jPj4eJmsk1c1jJNTDx8+5Lp37/7Zx7i6unLh4eE1XrZIJOLGjh3Lubm5\ncSKRqLYRSTXJ8a+hXPDz8+Ps7e05oVAo1fXk5uZy6enpHMdx3Nu3b7kuXbpwt27dkuo65ZU06xfH\ncVxkZCSnq6vLZWdn1+r5pPr4Xr9KS0u5Hj16cAcPHmQdpVbOnz/PtWzZksvIyJD6uvhUw+R25Az4\neEJYd3d3GBgYYNSoURWuMVhYWIjTp09j+PDhNV7u6tWrkZmZSVucRCH88ssvKCoqkvruDG1tbfTq\n1QsAoKmpCX19feTk5Eh1nfJMWvXr1q1bmDx5Mg4dOsT7uUVE+oKDg6GlpQUXFxfWUWrFysoKy5cv\nl8keAD7VMLluzjIyMuDn54dbt26hcePGCAoKEt939OhRDBkypMYn2Tt+/Dh+/fVXHDlyBPXr15d0\nZEJkTk1NDQcOHMCBAwfw+++/y2Sdjx49Qnp6Oq+PCmNNGvXr1atXcHJywtq1a+lnT/Dq1SssXrwY\nGzZskOuBBm9vbwwZMgTjx49HWVmZTNbJuobJdXPWpk0bWFhYAADc3d2RmJgovm/fvn0YN25cjZZ3\n8+ZN2uIkCklLSwuRkZEIDAxEcnKyVNf17t07jBw5Ehs3buTNGcj5SNL1SygUYvTo0Rg+fDgmTJgg\n0axEPi1ZsgQuLi7o2bMn6yhfTFZ7AAB+1LC6TNYqIX/fEuA4Tvx9fn4+kpOTcezYsWovSyAQYNSo\nUfj5559pi5MopO7duyM4OBijRo3CtWvX0LhxY4mvo7S0FK6urnB3d6/VLjllIsn6BQDLly+Hqqoq\nVq9eLdGcRD7dunULe/fuxa1bt1hHkYjyPQCmpqawsrKCg4ODVNbDlxom1yNnWVlZuHTpEgBg7969\nsLKyAgAcPHgQjo6OUFdXr/ayFi9eDAMDA0ycOFEqWQnhg+HDh2PIkCGYPXu2xJfNcRwmT54MAwMD\nBAYGSnz5ikaS9evKlSsICgrCrl27UKdOHankJfKD4zhMnz4dCxYsQIsWLVjHkRgtLS2Ehobi+++/\nR0FBgcSXz6saxuQwBAl49OgR161bN87d3Z3T19fnRo4cyRUVFXEcx3EDBgzg4uLiqr2sy5cvc61a\nteLy8vKkFZd8hhz/Gsql169fc23atOESEhIkutwLFy5wKioqXM+ePblevXpxvXr14mJiYiS6DkUh\nyfpVXFzM9ezZk9u9e7e04pLP4GP9On78ONetWzeupKSEdRSp8PPz4yZOnCjx5fKphin9SWgFAgF6\n9+6NRYsWYcyYMazjKCV5OYmjIomLi4OPj4/Udm8S2Vm8eDFSUlJw/PhxuZ70La/4Vr9KSkpgaGiI\nzZs3Y+jQoazjSMW7d+9gZGSEzZs3Y9iwYazjSIXSN2dz587F/fv3ceDAASpsjPCtuCmLKVOmoE6d\nOti+fTvrKKSWrly5AhsbG1y5cgWtW7dmHUcp8a1+rV27FmfPnkVUVBTrKFJ19uxZuLu74/r162jW\nrBnrOBKn1M3Z5cuX4ezsjGvXrqFly5as4ygtvhU3ZfHmzRv06NEDO3fuxJAhQ1jHITVUUlKCPn36\nYObMmXR0JkN8ql95eXkwNDTEX3/9hS5durCOI3U//PAD3r59i927d7OOInFyfUDAlxAIBPD09MSm\nTZuoMSNKqUmTJggODsaUKVNQWFjIOg6poRUrVqBt27bw8PBgHYXwxIIFCzBx4kSlaMwAYNWqVbhw\n4QKOHz/OOorEKe3IGe3O5A8+bXkqI9q9KX/S09Nha2tLuzN5gC/1Ky0tDfb29rhz5w6aNm3KOo7M\nKOruTaVqzqKjo7Fp0ya8ePECN2/exM6dO+Hm5sY6ltLjS3FTVm/evEGnTp3Qrl07aGpqol69eggI\nCFDYibbyqrx+FRUVIT09Hd7e3li/fj3rWEqPD/WL4zj0798fEyZMgLe3N9MsLPzwww+4desW1NTU\nUFxcrBA1TK5PQlsT0dHRmDZtGjIzM8W3LVq0CE2bNpXrN5CQL5WYmAg1NTWkpqaKbyv/nNBngx8q\nq1+RkZEYPHgwvUcE+/fvx7t37zBp0iTWUZgYMGAAtm/fDqFQKL5N3muY0oyc2draIj4+vtLbY2Nj\nGSQi5fiw5anM6LPBf/Qe8Rfr+vXhwwfo6+sjPDwc/fv3Z5aDJUX8fCjNAQHFxcWV3i4QCGSchBB+\noc8G/9F7RKqyZs0amJmZKW1jBijm50NpdmvWq1ev0ts1NDRknIQQfqHPBv/Re0Qq8+TJE2zatKnC\nlARlpIifD6UZOfPy8oKqasWXq6enB39/f0aJCOGHgIAA6OnpVbitXbt29NngkYCAAGhqala4jeoX\nmTNnDvz8/NC+fXvWUZiqrIbJ++dDaUbO0tLSYG1tDeDjUKeGhgb8/f3ldrIgIZJS/hnYvHkzBAIB\nsrKy0KVLF/ps8MjXX3+NOnXqYPDgwRAKhVS/CBITE3HhwgUEBwezjsLc32tYfn4+rl+/jpUrV8r1\n50MpDgjIzs5Gz549ce3aNejq6rKOQ/6B9YRaUlFBQQG6dOmCxMREdO3alXUcgo9/fGxtbREQEMA6\nCvkHFvVLJBKJrw4xfvx4ma5bHnh4eKBTp05YtGgR6yi1phTNmbe3N7S0tLBq1SrWUUglqDnjn1Wr\nViE1NRUHDhxgHUXpnT9/HhMnTsSdO3eqnFtD2GFRv3bu3ImQkBD8+eefdBL1Sjx8+BCmpqa4ffu2\n3F4BSOGbszt37sDKygp3795VqLMHKxJqzvjnw4cP6NKlC44cOYI+ffqwjqO0OI6DpaUlpk6dSpdp\n4ilZ16/CwkJ069YNx44do8/mZwQEBEBVVRUbNmxgHaVWFL45GzlyJPr06YM5c+awjkKqQM0ZP/32\n22/Yv38/Tp48yTqK0jp27Bh++uknpKeno06dOqzjkErIun7NmTMHz58/R2hoqMzWKY+eP38OAwMD\npKSkyOUBEwrdnKWnp8PBwQH37t1DgwYNWMchVaDmjJ+EQiEMDQ2xbds2DBw4kHUcpcNxHIyMjLBy\n5Uo4ODiwjkOqIMv6de/ePVhYWOD69evQ0dGRyTrl2eLFi5GVlYWdO3eyjlJjCn0qjV9//RUBAQHU\nmBFSC3Xr1sXMmTOxefNm1lGU0rlz58BxnFwfcUYka9asWZg9ezY1ZtXk7++PI0eOID8/n3WUGlPY\nkbOCggJ07NgRd+/eRYsWLVjHIZ9BI2f89e7dO7Rr1w5Xr17F119/zTqOUhk9ejQGDBgAX19f1lHI\nZ8iqfiUkJGDq1Km4efMmHRhSA15eXjAwMMDs2bNZR6kRhR0527VrFxwcHKgxI+QLaGpqws3NDb/9\n9hvrKEolJycHJ0+ehLu7O+sohAeEQiECAwOxdu1aasxqyNfXF1u3boVIJGIdpUYUsjkTiUQICgqi\nLU5CJGDq1KkIDg5GSUkJ6yhKIzg4GGPHjkXjxo1ZRyE8sG3bNujo6MDZ2Zl1FLnTp08faGlpyd0F\n0BWyOTt58iQ0NTVhbm7OOgohck9fXx/6+vo4cuQI6yhKobS0FL/99humTp3KOgrhgZcvX2Lp0qXY\nsGEDndOslnx9fREUFMQ6Ro0oZHNWPmpGv8iESIY8Fjd5FRkZCT09PfTo0YN1FMIDixYtwujRo9G9\ne3fWUeTWmDFjcOnSJTx8+JB1lGpTuAMCsrKyYGxsjKysLDRs2JB1HFINdEAA/5WWlqJ9+/aIi4uj\nPxJSNnjwYHh7e2Ps2LGso5BqkGb9unHjBgYNGoTbt29DS0tLKutQFjNnzoSamprcXClI4ZqzhQsX\n4u3bt9i4cSPrKKSaqDmTD4sXL8aLFy+wZcsW1lEU1u3btzFw4EBkZWVBXV2ddRxSDdKqXxzHwdra\nGs7OzvD395f48pXNvXv3YGlpiaysLGhoaLCO868UardmSUkJQkJCaK4GIVLg7e2Nffv24e3bt6yj\nKKxt27ZhypQp1JgRREZGIjc3F99//z3rKAqhc+fOMDY2xsGDB1lHqRaFas4OHz4MQ0NDdOvWjXUU\nQhSOrq4uBg0ahPDwcNZRFNL79++xZ88efPfdd6yjEMaKi4sxY8YMbNiwAWpqaqzjKAxfX1+5GflX\nqOZs37598PLyYh2DEIU1adIkREREsI6hkGJiYmBqaoq2bduyjkIY27BhA7p37w5ra2vWURTKsGHD\nkJmZiUePHrGO8q8UZs7Zh/9r787jakzfP4B/Wsm+t1gyslTayxJCtlRkn7GUaRqJLEWyZ42xq4wY\nwzAoNGG0aBCyh1K0o0FDyd6ivfP8/jD6jp+i5ZxzP+ec6/16eX3nezrneT516jrXs9z3XVAANTU1\nPHnyBM2bN2cdh9QA3XMmOYqKiqCqqor09HS0atWKdRypMnXqVJibm9NtGRJG2PUrKysL+vr6iI6O\nRufOnYW2XfKBk5MTjI2NeX8fn9ScOTt//jzMzMyoMSNEhOrXr48hQ4bg9OnTrKNIlbKyMpw+fRoj\nR45kHYUwtmzZMjg5OVFjJiJ2dnYICQlhHeOrpKY5CwkJgZ2dHesYhEg9SSlukuT69evQ1NSk9Utl\n3O3btxEREYHly5ezjiK1hg4dips3byInJ4d1lC+SiuZMIBAgNDSUjjoJEQMbGxucO3cOxcXFrKNI\njZCQEKpfMo7jOLi5uWHdunW0bJcINWzYEBYWFrxfzkkqmrPbt2+jZcuW0NLSYh2FEKnXunVr6Ovr\nIyoqinUUqcBxHE6dOkVn/mXckSNHUFJSAkdHR9ZRpJ6dnR1CQ0NZx/giqWjO6JImIeJFlzaFJy0t\nDYWFhTA2NmYdhTDy/v17LFq0CL6+vpCXl4qPZV4bMWIEIiIiUFpayjpKlaTit4CaM0LE62NzRqNs\n6+5j/aK1gGXXpk2b0K9fP/Tt25d1FJnQtm1bdOrUCdeuXWMdpUoS35w9evQIL168QM+ePVlHIURm\ndOvWDSoqKoiPj2cdReKFhobSwaUMe/LkCX7++Wds3LiRdRSZwvez/xLfnIWGhmLEiBFQUFBgHYUQ\nmSEnJ8f74iYJXr58iYSEBFhaWrKOQhhZuHAh5s6dS5MPixnfz/5LRXNGo5wIEb+RI0fy/qZavouI\niMDgwYNRr1491lEIA5cvX0Z0dDQ8PT1ZR5E5BgYGKC0tRWpqKusolZLo5qy8vBzR0dEYMGAA6yiE\nyBxzc3OkpKSgoKCAdRSJde3aNQwcOJB1DMJAeXk53NzcsGnTJjRo0IB1HJkjJyeHAQMG4Pr166yj\nVEqim7P79++jTZs2tCoAIQwoKytDR0cHd+/eZR1FYsXGxsLU1JR1DMLAb7/9hkaNGuHbb79lHUVm\nmZqaIjY2lnWMSkl0cxYTEwMzMzPWMQiRWaampoiJiWEdQyIVFxcjOTkZRkZGrKMQMcvJyYGXlxd8\nfHxolC5DfK5fEt2c0VEnIWyZmZnx9siT7xITE6GlpUWXtGTQ2rVrMWLECPr8YszIyAhJSUm8nO+M\nmjNCSK3x+bIA31H9kk1paWk4cOAA1q1bxzqKzGvUqBE6duyIpKQk1lE+I7HNWXl5OeLj42FiYsI6\nCiEyS09PD3///TcNCqgFas5kk4eHBxYvXgxVVVXWUQj4e4Apsc0ZDQYghD0aFFB71JzJnr/++gtp\naWmYO3cu6yjkX9ScCVlsbCwNBiCEB/ha3PiMBgPIntLSUsybNw/btm2DsrIy6zjkX3ytXxLbnMXE\nxNBRJyE8wOcRT3xFgwFkj7+/Pzp06IARI0awjkL+w8jICImJibwbFCCxzRldEiCEH/h65MlnVL9k\ny8uXL+Ht7Y3t27fT1Bk806hRI2hqavJuUIBENmcCgYAGAxDCE3p6ekhPT6dBATVAzZlsWbFiBSZP\nngxdXV3WUUgl+HiAqcg6QG1kZ2ejQYMGNBiAEB6oV68e2rdvjydPnkBHR4d1HImQnp6OcePGsY5B\nxODevXs4fvw4b9dwJEC3bt2Qnp7OOsYnJPLMWVZWFjQ0NFjHIIT8S0NDA1lZWaxjSAyqYbKB4zi4\nu7tj1apVaNGiBes4pAp8rF8S2ZxlZmZCXV2ddQxCyL/U1dWRmZnJOobEoBomG06ePImXL19i+vTp\nrKOQL+Bj/ZLIy5pZWVlU2AjhET4eefJVYWEhCgoK6EyKlCsqKoKHhwf27t0LRUWJ/KiVGXysXxJ7\n5owuCRDCH3w88uSrjweXNGpPum3btg3GxsYYPHgw6yjkK/hYvySync/KyoKBgQHrGISQf2loaOD2\n7dusY0gEOvMv/TIzM7F161b6m5AQrVq1Qm5uLoqLi1GvXj3WcQDQmTNCiBDw8ciTr6h+Sb8lS5Zg\n+vTp6NSpE+sopBrk5eWhqqqK58+fs45SQWLPnNGRJyH8wcd7NviK6pd0u3nzJiIjI2nqDAnzsYZp\namqyjgJAQs+cUXEjhF/U1dWRlZUFjuNYR+E9ql/SSyAQwM3NDevXr0fjxo1ZxyE18LGG8QWT5uzd\nu3cYP348dHR0oKuri+jo6CqfW1YGHD0K2NgAamqAnBzw7NlT9OzZHjY2H75WVibG8ISQzzRu3Bhy\ncnLIy8ur87YeP34MfX39zx7/8ccfYWRkBAMDA4wZMwY5OTl13ldt1KR+VYYua0qvgIAACAQCODg4\nsI5CakhDQ0Mot2YIq34xac7c3NxgY2ODlJQU3Lt3r8pZxTMzASUlYNIkICICyM7+39eys+UQEfHh\na0pKAI8aXkJkkqiPPH18fBAfH4979+6hU6dO2LFjh8j29SXVrV9VoTNn0ik/Px+LFy+Gr68v5OUl\n8qKUTONb/RL7b1BOTg6uXLkCJycnAICioiKaNm362fMyM4G2bau/XQ0NatAIYalVq1Z49eqVULZV\nVlYGe3t76OrqYsKECSgsLKy4TMRxHAoLC9GqVSuh7Ksmqlu/vuT169dMshPR2rBhAywtLWFubs46\nCqkFvtUvsTdnjx49QuvWrfHDDz/AxMQEzs7Ony2YXFZWs8bsIw0NusRJCCtKSkooE9IfYFpaGmbN\nmoXk5GQ0adIE/v7+AIAffvgB6urquHfvHqZNmyaUfdVEderX15SWlkJJSUlECQkLjx49wq5du7Bh\nwwbWUUgt8a1+ib05Kysrw507d+Dq6oo7d+6gYcOGn/1CBwfXfvvHj9cxICGkVpSUlFBaWiqUbbVv\n377iDIS9vT2uXr0KANi/fz8yMzNhYGCAdevWCWVfNVGd+lWdbVBzJl08PT0xb948tGvXjnUUUkt8\nq19ib87atWuHdu3aoUePHgCA8ePH486dO5885+DB2m//99/rko4QUhvh4eGIj4/H/PnzYWVlhfDw\n8Dpt77+z53Mc98n/l5eXx8SJE5lM8Fmd+vUl4eHhePLkCRwdHYXycyL8EBMTAw8PD9YxSC2Fh4dj\n69atiIiI4E39Evs8Z2pqamjfvj3u37+Prl27IjIyEt27d//kOV+sdV3CAMgBD2wr/XJcnPCyEkK+\nLjw8HG5ubnj9+jVev36NhIQEpKenAwBsbSv/O/2ajIwMREdHo3fv3ggMDISFhQXS09OhpaUFjuMQ\nEhICY2NjYX4b1VKd+lWVjz+ngoKCisJc158TYau8vBwAsGXLFqioqDBOQ2rj49/lx7/Fs2fP8qN+\ncQzEx8dzZmZmnIGBATdmzBju3bt3n3wdqOJflzAOq/DhX+fwKp9HJENhYSE3ePBgjtGvIRGSYcOG\ncQA++2dlZVWr7T1+/JjT1tbm7O3tOR0dHW78+PFcQUEB17dvX05fX5/T19fnfvjhB66goEDI30n1\nfK1+VUXYPyfCVnl5OTdgwAAOACcQCFjHIbXE1/rFZIUAQ0NDkV6SoAWFJc/GjRvh7u7Om3XNSPUV\nFxdX+nhRUVGttqepqYmUlJTPHv943wZrta1fwv45EXZu3LgBNzc3ZGRksI5C6oiv9YuXk7Goqlbx\nhQe2QEAYcDgceGhT6VPU1D5c46V/kvEvPj4eLVq0QFRUFLp3745Tp07RLPMSpqqGun79+mJOwm/0\nc5J8z549g4ODA8aPH485c+bg6dOnMDU1xZEjR1hHI7XE179LXjZnJiZf+OID2yobMwBgcBsKqQND\nQ0N8++236Nq1K/z9/bF06VIMGzYMiYmJrKORapo7dy60tLQ+eUxLSwtz5sxhlIif6OckuQoLC+Ht\n7Q0DAwNoamoiLS0NDg4OUFRUhK+vLxYtWoT379+zjklqgbd/l5Vf7WTryJEv3Hf2lX9Hj7JOT2rq\nxYsXXKtWrbikpCSupKSE8/Pz41q3bs3NmjWLe/XqFet4pBrCwsK4Fi1acAYGBpyVlRUXFhbGOhIv\nhYWFcQ0bNuTMzMzo5yQBBAIB98cff3AdO3bkxo0bx/3999+VPm/SpEmcl5eXmNMRYQkLC+P09PQ4\nVVVV3vxdynEc/64hlZV9WJKpNkpLAUUmd9KRuvD19cXp06fx119/QU5ODq9fv8bKlSsRFBSEFStW\nYMaMGVCkN5bXBgwYgDVr1mDAgAGso/CagYEBDh06BENDQ9ZRyBfEx8fD3d0db9++hY+PDywtLat8\n7j///AMjIyPcuXMHmpqaYkxJhGXv3r2Ijo7G3r17WUcBwNPLmoqKH5ZvqqnMTGrMJJWrqysyMjIq\n5pdp2bIlfv75Z5w/fx4nT56EkZERIiMjGackX1JaWkoNdDUoKSmhpKSEdQxShZcvX8LFxQVWVlaY\nOHEiYmNjv9iYAR8mHZ07dy4WLlwoppRE2PhWv3jZnAGAunrNGrTMzA+vIZJJSUkJ27dvx7x58z75\n4NLX10dkZCS8vb3h4uKCUaNG4eHDhwyTkqq8fPkSrVu3Zh2D94S5hh8RnpKSEmzfvh26urpo0KAB\nUlNTa3TG3tPTE9HR0bh8+bKIkxJR4Fv94m1zBnxotkpLgaNHAWvrDyMxP1JT42Bt/eFrpaXUmEmD\n4cOHo1u3bvDz8/vkcTk5OYwePRrJycno06cPevfujUWLFiE3N5dRUvL/cRyHrKwsqNMf4lepq6sj\nKyuLdQzyHxERETAwMMCZM2dw+fJlbN++Hc2bN6/RNho0aIBNmzbBzc2tYnJaIjn4Vr943ZwBHy5T\nfvcdcPo0kJX14bb/tm3bITo6A6dPf/gaj85Ekjratm0bNmzYgOzs7M++Vq9ePSxatAgJCQl48eIF\ntLW18dtvv0EgEDBISv4rLy8PANC4cWPGSfhPXV0dmbW5b4MIXWpqKmxsbODm5laxfI+Ojk6tt/ft\nt9+iUaNG+O2334SYkohDZmYmNWd1paGhQUeeUqpr165wdHTEsmXLqnyOuro69u/fj1OnTmHv3r3o\n2bMnrl27JsaU5P/LysqChoYG6xgSgeoXe+/evcP8+fNhYWGBIUOGIDExEba2tnWewFxOTg6+vr7w\n8vJCTk6OkNISceBbDZPI5owuC0g3Ly8vhIWFfXVB6R49euDatWuYP38+Jk6ciMmTJ+Off/4RU0ry\nX3w76uQzql/slJeXY8+ePdDW1kZ+fj6SkpIwf/58KCsrC20fJiYmGDFiBNauXSu0bRLR41sNk8jm\nTENDgy4LSLGmTZti7dq1cHNz++pqAXJycpg8eTJSU1PRuXNnGBkZYc2aNSgoKBBTWgLw76iTz6h+\nsREVFQVTU1MEBAQgIiICe/bsQZs2bUSyr3Xr1uHAgQNIS0sTyfaJcAkEArx48QJq/72xnTGJbM7o\nyFP6OTk5IT8/H0FBQdV6fsOGDbFmzRrExsYiMTEROjo6OHbsGC0FJSZ8O+rkM6pf4vX48WNMmDCh\n4naJqKgoGIt4KRlVVVUsXrwYHh4eIt0PEY6XL1+iadOmQj2DWlcS2ZzRPRvST0FBAb6+vli4cGGN\nzoJ17NgRQUFBOHToEDZs2ID+/ft/9fIoqTs6c1Z96urqeP78OR04iFh+fj6WL3p2wMAAACAASURB\nVF8OMzMzGBgYICUlBRMmTKjzfWXVNXfuXNy/fx8RERFi2R+pPT7WL4lszmi0k2zo378/evfujc2b\nN9fqtTExMZg6dSpsbGzg7Oxc6QhQIhx05qz66tevj4YNG+L169eso0glgUCAw4cPQ1tbG48fP0Z8\nfDy8vLygoqIi1hzKysrYtm0b5s+fj9LSUrHum9QMH+uXxDZndOZMNmzatAl+fn61utFfQUEBzs7O\nSE1NRZMmTaCnp4ctW7bQ7OwiwLc5gviOapho3Lp1C3379oWvry+CgoJw+PBhtGvXjlkeW1tbdOjQ\nAf7+/swykK/jY/2SyOaMbqiVHZqampg1axYWLVpU6200a9YMW7duxdWrVxEVFQU9PT2EhYXRZSUh\nyszM5N1lAT6jGiZcmZmZcHR0xOjRo+Hi4oKbN2+iT58+rGNBTk4O27dvh7e3N16+fMk6DqkCH+uX\nRDZnbdq0QVFREV0WkBGLFi3ClStXcPXq1Tptp1u3bggLC4Ovry8WLFgAa2trpKSkCCml7CoqKsLT\np09pweca6Ny5M1JTU1nHkHhFRUX46aefYGBgAHV1daSlpcHR0RHy8vz5aNPV1cXkyZOxYsUK1lFI\nFdLS0tC5c2fWMT7Bn9/gGpCXl4exsTHd6C0jGjZsiI0bN8LNzU0oqwFYW1sjISEBw4cPR//+/eHu\n7o63b98KIalsSkhIQJcuXcR+T48kMzU1RWxsLOsYEovjOJw8eRK6urq4desWbt68iZ9++om3K1Ss\nWrUKJ06cwN27d1lHIZWIiYmBqakp6xifkMjmDKDiJmsmTZqE+vXr48CBA0LZnpKSEtzd3ZGcnIzi\n4mJoa2tj165dKCsrE8r2ZUlsbCzvChvfUf2qvYSEBAwZMgReXl7Ys2cPTp48CS0tLdaxvqh58+ZY\ntWoV3N3d6XYKnsnLy8M///wDXV1d1lE+Qc0ZkQhycnLw8fHB8uXLhbrgeevWrbFr1y6cPXsWQUFB\nMDExwYULF4S2fVlAzVnNde/eHY8ePcL79+9ZR5EYr169gqurKwYPHoxx48YhPj4eQ4YMYR2r2pyd\nnfHq1SucPHmSdRTyH3FxcdDX14cizxbpltjmzMzMjJozGdOjRw9YWVlh3bp1Qt+2oaEhLly4gJUr\nV+LHH3/EuHHj8Pfffwt9P9IoNjYWZmZmrGNIFGVlZejp6SE+Pp51FN4rLS2Fn58fdHV1oaioiNTU\nVLi6uvLuw/RrFBUV4ePjAw8PDxQVFbGOQ/7F1/olsc1Zly5d8OrVKxoUIGPWr1+Pffv24cGDB0Lf\ntpycHMaNG4fk5GSYmJigZ8+eWLp0KfLy8oS+L2lRXFyM1NRUGBgYsI4icUxNTRETE8M6Bq+dOXMG\nhoaGCAsLw8WLF+Hn54cWLVqwjlVrgwcPhrGxMbZt28Y6CvkXX8/8S2xzRoMCZJO6ujo8PT2xYMEC\nke1DRUUFy5Ytw927d/H06VNoa2vj4MGDQhmMIG1oMEDt0a0ZVXvw4AFGjhyJ2bNnY8OGDThz5gy6\nd+/OOpZQbNmyBVu3bsWzZ89YRyGg5kwkqLjJJnd3dyQlJeHcuXMi3U/btm1x8OBBHD9+HDt37oS5\nuTmio6NFuk9Jw9fCJgmofn0uJycHnp6eMDc3R//+/ZGYmAg7OzuxLbkkDp06dYKLiwuWLFnCOorM\ny8vLQ0ZGBu8GAwDUnBEJVK9ePWzZsgXu7u5iGV3Zu3dv3LhxA7Nnz8a4cePg4OBAR73/4uMQdElB\ngwL+p7y8HPv27YO2tjbevHmDxMREeHp6ol69eqyjicSSJUtw/vx53Lx5k3UUmcbXwQAANWdEQo0a\nNQrq6urYvXu3WPYnLy8PBwcHpKWloUOHDjAwMMC6detQWFgolv3zFZ05qz1lZWV0795d5gcFXLly\nBT169MD+/fsRFhaGffv2QU1NjXUskWrcuDHWr18vtLkbSe3wuX5JdHPWtWtXGhQgoz5OrbFmzRqx\nvv+NGjXCunXrcPv2bdy5cwe6uro4fvy4TM5d9HEwgKGhIesoEsvMzExmBwVkZGRg4sSJmDJlChYu\nXIgrV67w9oNSFBwcHCAQCBAQEMA6iszi60hNQMKbM3l5eZibmyMqKop1FMKAnp4evv32W6xcuVLs\n++7UqROOHz+O3377DatXr4alpaXMzf597do16Onp0WCAOujbty8uXrzIOoZYFRQUYNWqVTAxMYG2\ntjZSU1MxceJEqbqvrDrk5eXh6+uLxYsXIz8/n3UcmcNxHKKionixBmtlJLo5A4CRI0ciNDSUdQzC\nyOrVqxEUFITExEQm+7e0tMSdO3cwceJEDBs2DDNmzJCZBY5DQ0NhZ2fHOoZEs7a2xoULF2Ti8jjH\ncThy5Ai0tbWRlpaGO3fuYNWqVWjQoAHraMyYm5vD0tISP/30E+soMicuLg4NGzZEt27dWEeplFQ0\nZ+Hh4SgvL2cdhTDQsmVLeHl5MV0WRVFRETNmzEBqaipUVFSgq6uL7du3o6SkhEkeceA4DqdOnaLm\nrI5atmwJY2NjqV+VIjY2FhYWFtiyZQsCAgJw5MgRdOjQgXUsXtiwYQN2796NR48esY4iU0JCQnhd\nvyS+OdPU1ETbtm1x48YN1lEIIzNmzEBWVhZCQkKY5mjevDm2b9+Oy5cv48yZMzAwMEBERATTTKKS\nnJwMgUAAfX191lEknp2dHfPfXVF5/vw5fvzxR4wYMQJOTk64desWLCwsWMfilXbt2mHevHnw9PRk\nHUWmUHMmBtJc3MjXKSkpwcfHB/Pnz0dxcTHrONDR0UFERAS2bt0KNzc32NraIi0tjXUsofpY2GTt\nPiFRsLOzQ2hoqFSN2isuLsamTZugp6eHli1bIi0tDU5OTlBQUGAdjZc8PDwQExMjc/cfsvLPP/8g\nIyMD5ubmrKNUiZozIhWGDh0KPT09+Pj4sI4C4MNoUltbWyQmJmLQoEHo168fPDw88O7dO9bRhCIk\nJAQjR45kHUMqdOnSBU2bNpWKaYE4jkNISAi6d++Oq1ev4saNG9i0aROaNGnCOhqvqaioiHXuRlkX\nGhoKGxsbXs5v9pFUNGcmJibIy8uTurMTpGa2bNmCzZs3Iysri3WUCsrKyvDw8EBSUhLy8vKgra2N\nPXv2SPQ9ks+fP0dKSgoGDBjAOorUkIYDzKSkJFhZWWHx4sXw9/dHSEgIunTpwjqWxBg3bhyaNWuG\nvXv3so4i9fh+SROQkuZMXl6eRm0SdOnSBU5OTli2bBnrKJ9p06YN9uzZg4iICBw+fBimpqa4dOkS\n61i1Eh4eDisrKygrK7OOIjUkuTl78+YN5syZA0tLS4wcORJ3797FsGHDWMeSOHJycvD19cXKlSvx\n9u1b1nGkVl5eHq5fvw4rKyvWUb5IKpoz4H/3bRDZtnz5ckREROD27duso1TK2NgYly5dwtKlSzF1\n6lR8++23ePz4MetYNUJTaAhf7969kZWVhSdPnrCOUm1lZWXYuXMntLW1IRAIkJycjDlz5kBJSYl1\nNIllZGSE0aNHY82aNayjSK2zZ8+iT58+aNy4MesoXyQ1zdmgQYMQHx9PqwXIuCZNmmDdunVwc3Pj\n7az9cnJy+Pbbb5Gamgp9fX2YmZnBy8tLItZYLCwsxMWLF2Ftbc06ilRRUFCAjY2NxBxgRkZGwsjI\nCCdOnMD58+exc+dOtGrVinUsqeDt7Y3Dhw8jJSWFdRSpJAmXNAEpas7q16+PQYMGISwsjHUUwpij\noyNKSkpw5MgR1lG+SEVFBV5eXoiLi8Pff/8NbW1tBAQE8LapBD58KBsbG6NFixaso0gdOzs7/Pnn\nn6xjfFF6ejpGjx4NFxcXeHt7IzIykqZTEbLWrVtj6dKlmDdvHq9rgSQqLS1FeHg4RowYwTrKV0lN\ncwYAU6ZMwW+//cY6BmFMXl4ePj4+WLRokUScjWrfvj0CAgJw7Ngx+Pj4oG/fvry9LLtv3z5MnjyZ\ndQypZG1tjfj4eF5ORpqXl4fFixejV69e6N27N5KSkjB69GiaSkVEZs2ahUePHuH06dOso0iVkJAQ\n6OjoSMQEyFLVnI0aNQoPHz5ktpQP4Y9+/fqhX79+2LRpE+so1danTx/cvHkT06dPx6hRo/DDDz/w\nauRpRkYGrly5gilTprCOIpVUVFTw/fff45dffmEdpYJAIMCBAwfQrVs3ZGdnIyEhAYsXL0b9+vVZ\nR5NqysrK2L59O+bPny/VK42Im7+/P2bNmsU6RrXIcVJ23nTVqlV4+fIldu7cyToKYSwjIwPGxsa4\nc+cONDU1WcepkdzcXKxfvx579+7FggUL4O7uzvwDcfny5cjLy4Ovry/THNLswYMH6Nu3LzIyMpi/\n39evX4ebmxsUFRXh5+eHHj16MM0ji2xsbDBkyBDMnz+fdRSJl5KSAktLS2RkZEjESHOpa86ePXsG\nfX19PHnyhPejMYjorV69GsnJyTh27BjrKLXy8OFDLFiwAAkJCdi6dStGjRrF5FJSSUkJOnTogKio\nKGhra4t9/7LEysoKDg4OsLe3Z7L/p0+fYtGiRbh06RI2btyIyZMn0+VLRlJTU2FhYYGkpCS0adOG\ndRyJ5ubmhsaNG8Pb25t1lGqRqsuaANC2bVsMGjQIhw8fZh2F8ICnpyeio6Nx+fJl1lFqpXPnzvjz\nzz/xyy+/YPny5Rg6dCiTy/YnTpxA9+7dqTETA1dXV/j7+4t9v4WFhVi7di2MjIzQqVMnpKamYsqU\nKdSYMaStrQ0HBwcsX76cdRSJ9v79exw+fBjTp09nHaXapK45A/5X3KTspCCphQYNGmDjxo1wc3OT\n6Fn5hwwZgvj4eIwZMwaDBg3CrFmzxDptjL+/P1xdXcW2P1lma2uLp0+fIi4uTiz74zgOf/zxB3R0\ndJCQkICYmBisXbsWjRo1Esv+yZetWLECp06dEtvvgzQKDAyEhYWFRAwE+EgqmzNLS0uUlpbi6tWr\nrKMQHvjuu+/QsGFD7N+/n3WUOlFUVMSsWbOQmpoKBQUF6OjoYMeOHSgtLRXpfhMSEpCeni4RcwNJ\nA0VFRbi4uGDXrl0i31dcXBwGDBiAdevW4ffff0dQUBA6duwo8v2S6mvWrBnWrFkDd3d3OuFQCxzH\nSeTBpVQ2Z3JycnB1daVBAQTA/5ZFWb58OXJycljHqbMWLVrAz88PFy9eREhICIyMjHDu3DmR7c/f\n3x/Tp0+nmd/F6Mcff8Qff/yBd+/eiWT7L168wPTp02FtbQ0HBwfExsbSWqk8Nm3aNLx79w7BwcGs\no0icGzduID8/H0OGDGEdpUakbkDAR+/evcM333yDlJQUqKmpsY5DeGDatGlo1qwZtmzZwjqK0HAc\nh9DQUMyfPx+6urrYunWrUBebzs3NhaamJpKSkqChoSG07ZKvmzRpEnr37g03NzehbbOkpAQ7duzA\nhg0bMHXqVHh5eaFZs2ZC2z4RnaioKDg6OiIlJQUqKiqs40gMe3t7mJiYSNyIV6k8cwZ8OBU8YcIE\n7N27l3UUwhPr1q3DgQMHkJaWxjqK0MjJycHOzg5JSUmwsLCAubk5Fi5ciNzcXKFs/9ChQxgyZAg1\nZgwI895ZjuMQHh4OPT09XLx4EVevXsXWrVupMZMgAwcORI8ePaTq4FLUXrx4gbCwMDg6OrKOUnOc\nFLt37x6npqbG5eXlsY5CeGLTpk2cra0t6xgik5WVxTk5OXHq6urc3r17ubKyslpvq7i4mOvUqRN3\n+fJlISYk1SUQCDhjY2PuxIkTddpOcnIyN3z4cK5bt27c6dOnhZSOsPDo0SOuRYsW3D///MM6ikRY\nsmQJ5+zszDpGrUjtZc2PJk2ahO7du9NQZAIAKC4uhp6eHnbs2IHhw4ezjiMyMTExcHNzQ1FREXx9\nfdGvX7/PnlNWBgQHAwcPAnfuANnZHx5XVQVMTABV1TPIzPTDmTPhYk5PPgoNjcCMGZEwMNiMuDj5\nz96jqVOB8eMBRcXPX/v27VusXr0aAQEBWLZsGWbNmkX3DUqB5cuX4/HjxzRd1FdkZWVBT08P8fHx\naN++Pes4NSb1zdnDhw/Ru3dvpKamolWrVqzjEB4IDQ3FwoULce/ePan+sOI4DkePHsWiRYvQt29f\nbNy4sWIoeWYm0LZt9baTmQmoq4swKKlUbd+j8vJy/Prrr1i5ciXGjBmDtWvXonXr1qILSsQqPz8f\n2traCAoKQp8+fVjH4a2ZM2eiUaNG2Lx5M+sotSL1zRnw4d4NFRUVbN26lXUUwgMcx2H48OGwsbER\n6s3WfPX+/Xts3rwZP//8M2bPng0Hh0Xo3LlmNxRTgyZeNWnM/vua1NSLcHd3R4sWLeDj4wNDQ0PR\nBCRMHT58GL6+vrh58ybk5aX21vFae/DgAczNzZGWloaWLVuyjlMrMtGcPX/+HN27d0dcXJxETUJH\nRCc5ORkDBgxAcnKyzJxVyMjIwIIFi/HHH4G1en1paeWXz4hwlZUBtT2hq6nZGVu3bsTYsWNpZn8p\nJhAI0LdvX7i4uEjmze4i9t1338HQ0BBLly5lHaXWZKI5Az5cp3/27JnET0RKhGfu3LkoLS0Vy2Sf\nfHH0KDBpUu1f+913ws1DPleX9+jgwRI4OPB/UWdSd7du3cLo0aORlpZG60j/R2xsLEaOHIkHDx6g\nYcOGrOPUmsycD/X09MSJEyfQt29fDBw4EFZWVggPpxudZdmqVatw4sQJ3Lt3j3UUsTl4sPav/f13\n4eUgVavLe3TkCDVmsqJnz54YOnQo1q9fzzoKL4SHh8PKygpDhgxBs2bNEBUVxTpSncjMmbPw8HB8\n//33n6xHqKWlBV9fX9ja2jJMRljy9/dHcHAwzp8/LxOXgdTU/jcq8zO9XwMcgJuV36OhpgZkZYks\nGvnXl94jW4SBgxxOo/KaRe+RbMnMzISBgQFu3rwJLS0t1nGYCQ8Ph5ubG9LT0ysek/TPd5k5c+bn\n5/fZQtHp6enYsWMHo0SED6ZPn46XL1/i5MmTrKOIRZWNWa/XwE8JwIaED/9diefPRZeL/E9V75EN\nwhGGkQjHCFjjdKXPofdItmhoaMDDwwMLFixgHYUpPz+/TxozQPI/32WmOSsuLq708aKiIjEnIXyi\nqKgIHx8feHh40O8CIUTizJs3D3fv3kVkZCTrKMxI4+e7xDZnjx8/hr6+fqVfW7ZsGbp16wZdXd2K\nzrlevXqVPrd+/foiy0gkw+DBg2FkZIRt27axjiJyqqpVfOFmS2Cx/od/X7is+SVFRUXo1asXjIyM\noKuriyVLltQtrBT7Uv1q2HAZgG4AdAH878j/NGxhizDYIBwRsKn0tbSMsOypX78+tmzZAnd3d5SV\nlbGOw4SCgkKlj9f0851PNUxim7Oq7N+/H8+ePUNaWhqSk5MxceJEAB9G5v3/a/KampqYM2cOi5iE\nZ7Zs2YJt27YhMzOTdRSRMjH5whdvtqyyMQMAY+Mvb7t+/fq4ePEi4uPjce/evYo1HEn17d+/H82a\nPQOQBiAZwMRPvn4atlU2ZsDX3yMincaMGYM2bdpgz549rKMwoaSk9NmIVS0trRp/vvOphkl0c1ZW\nVgZ7e3vo6upiwoQJKCwsxO7du7FixYqK53ycw8rW1ha+vr6wsrLCgAEDoKWlhdatW8PGpupCR2SH\nlpYWnJ2dpf5sz9SptX/t999//TkNGjQAAJSUlKC8vBwtWrSo/Q6lXFX1y9NzxX+eVbM5+KrzHhHp\nIycnBx8fH6xatQpv3rxhHUeszp49i5SUFOzdu7fi893KyqrWgwF4U8NYLOgpDI8ePeLk5OS469ev\ncxzHcU5OTtzmzZu5li1bcuvWrePMzMw4a2tr7sGDB5W+vri4mDMwMOAOHjwoztiEx3JzczkNDQ0u\nOjqadRSRKS3lOKB2/0pLv7798vJyztDQkGvUqBHn6ekp+m9IQn2pfq1du44DzDjAmgMeCP09ItJr\n5syZ3Jw5c1jHEJt3795xHTp04M6cOSO0bfKlhkn0mbP27dvD3NwcAGBvb4+rV6+iuLgYKioquH37\nNpydneHk5FTpa5WVlXHgwAF4eHhI/aUsUj2NGzfG+vXr4ebmBoFAwDqOSCgqfljmp6YyM6u3OoC8\nvDzi4+Px9OlTXL58WeLnGhKlqupXw4YqyMy8DcAZQOX1qzLVfY+I9FqzZg2OHDmCpKQk1lHEwtPT\nE1ZWVhg2bJjQtsmXGibRzdl/56XiOA7y8vJo3749xo4dCwAYPXr0FycYNTY2xowZM+Di4gJONqZ7\nI1/h4OAAgUCAgIAA1lFERl29Zg1abdbVbNq0KWxtbRETE1OzF8qQL9UvdXXg2bPRAKo3QfKtW09p\n7VOCVq1aYfny5Zg3b57Uf6adPXsWZ86cwZYtW0SyfdY1TKKbs4yMDERHRwMAAgMDYWFhgVGjRuHC\nhQsAgEuXLqFbt25f3Mby5cuRkZGBw4cPizwv4T95eXn4+vpiyZIlyM/PZx1HZGJiQvHNN11x4EAR\nrK0/HeWnpgZYW39YRqi0tPqN2atXr/Du3TsAQGFhIc6dOwdjukO9Sl+rX/fvX0KPHt1w9Ci++B6t\nWfMTli1zkvoPY1I9rq6u+OeffxAWFsY6isjk5OTA2dkZv/76K5o0aSK07fKphknsCgFPnjzB8OHD\nYWZmhtjYWHTv3h2HDh1CcXExpkyZgoyMDDRu3Bi7d++ucsj6R3FxcbCyskJ8fDw0NDTE9B0QPrO3\nt0fHjh3h7e3NOorQvXnzBvr6+ggMDMSAAQOEtt2EhAR8//33EAgEEAgEcHBwgKenp9C2L02EWb/K\nysrQu3dvuLi4wNnZWUzfAeGzM2fOYPbs2UhMTKxyGilJNn36dAAQ+uhUPtUwiW3OhG3FihWIi4tD\nSEiITCzjQ77s6dOnMDQ0RExMDL755hvWcYRq6tSpaNasGfz8/FhHIUKSmJgIS0tLxMbGokOHDqzj\nEB4YOXIk+vfvL3UHSGfPnoWzszMSEhKEetaMb6g5+1dJSQl69OgBV1dXuLi4sI5DeMDb2xvx8fEI\nDg5mHUVojh07hqVLl+LevXto2LAh6zhEiNavX4+zZ8/i3LlzUFJSYh2HMHb//n306dMHiYmJUJOS\n2YlfvHgBMzMz7N27V6iDAPiImrP/uH//PiwsLBAcHAwLCwvWcQhjhYWF0NHRwYEDBzBw4EDWceos\nLi4Ow4YNw7lz52BkZMQ6DhGy8vJy2NnZoVOnThK9piARngULFuDt27fYt28f6yh1VlJSgkGDBmHQ\noEFYs2YN6zgiR83Z/3PmzBk4OjoiOjoampqarOMQxv744w94e3vjzp07VS4RIgmys7PRs2dPbNmy\nBRMmTGAdh4hITk4OevXqhfnz51fcl0NkV05ODrp164bw8HCYmpqyjlNrHMfB2dkZr1+/xvHjxyEv\nL9FjGatF+r/DGrKyssLChQsxatQovH//nnUcwtj48ePRrFkz7N27l3WUWisuLsa4cePg6OhIjZmU\na9q0KUJCQuDl5YUrV66wjkMYa9q0Kby9veHm5ibRo3l//vln3Lp1C4cOHZKJxgygM2eV4jgOTk5O\nyM/PR1BQEA0QkHHx8fGwsrJCamoqmjdvzjpOjXw84nzz5g2Cg4NlprDJurNnz8LR0RE3btygKwAy\nrry8HD169MDChQsr1pqWJOfPn8eUKVNw48YNqRuc9SXUnFWhuLgYlpaWsLa2hpeXF+s4hDEXFxc0\naNAA27dvZx2lRnbs2IFff/0V169fR6NGjVjHIWLk4+ODAwcO4Nq1azT4Q8ZduXIFU6ZMQWpqasXa\nkZIgPT0dffr0wbFjx6Tivt+aoObsC54/f46ePXvC19cXY8aMYR2HMPTixQvo6uri6tWr0NbWZh2n\nWiIjI2Fvby9zR5zkg49XAPLy8hAUFERnTWXcd999Bx0dHaxatYp1lGrJzc2Fubk5Zs+ejZkzZ7KO\nI3bUnH1FTEwMrK2tceHCha9OBkmk27Zt2xAZGYnTp0+zjvJVDx8+RN++fWXyiJP8z8crAMOHD8eK\nFStYxyEMPXnyBCYmJoiLi+P9XHgCgQCjR4+GhoYGdu/ezToOE3Qo9RVmZmbw8/PDqFGj8OrVK9Zx\nCEOzZ89Geno675uz3NxcjBo1CqtWraLGTMbVq1cPJ06cwN69e3Hy5EnWcQhDmpqamD17NhYtWsQ6\nyld5eXkhJydHpifKpjNn1bRs2TJERkbi3LlzUj0rMfmy06dPY968eUhISICysjLrOJ8pLCzEiBEj\n0K1bN/j7+7OOQ3giNjYW1tbWCA4ORv/+/VnHIYy8f/8e2traFWu58tGuXbuwefNm3Lx5E61bt2Yd\nhxk6c1ZN3t7eMDU1ha2tLU2xIcNsbGygpaWFn3/+mXWUzxQXF2Ps2LFQVVWlSUjJJ0xNTXHkyBGM\nHz++YrF1InsaNmyITZs2wc3NDeXl5azjfOa3337DTz/9hMjISJluzAA6c1YjAoEA06ZNw5MnTxAW\nFgYVFRXWkQgDqamp6NevH5KTk9GmTRvWcQAApaWlmDBhAhQVFXH06FEoKiqyjkR4KCIiAt9//z0i\nIiIkelJSUnscx6Ffv35wcnLCjz/+yDpOhcDAQHh6euLixYvo2rUr6zjMUXNWQ+Xl5Zg6dSrevHmD\nP//8E/Xq1WMdiTAwb948FBQU4JdffmEdBWVlZZg8eTIKCwtx/PhxXl5uJfxx6tQpuLi44OzZszAw\nMGAdhzAQExODkSNHIi0tjRe36QQHB2POnDmIjIxE9+7dWcfhBWrOaqGsrAwTJ05EUVERgoODUb9+\nfdaRiJi9ffsW2traOHPmDNN1KktLS/H999/j1atXCAkJod9FUi1BQUFwc3PDX3/9BUNDQ9ZxCANO\nTk5o1aoVNm3axDTH8ePH4erqyryW8g01Z7VUWloKe3t7vH37Fn/++adETexHhOOXX35BYGAgoqKi\nmKwiUVJSgkmTJlUcJNBldlITf/zxB2bPno3w8HCYmZmxjkPE7Pnz59DTYHSEZAAAEflJREFU08ON\nGzfQpUsXJhkCAwPh4eGBiIgIasz+HxoQUEtKSkoICAiAmpoabGxskJ+fzzoSEbNp06bh3bt3CA4O\nFvu+i4qKMHbsWAgEApw4cYIaM1JjEyZMwJ49e2BjY4MbN26wjkPETE1NDQsXLoSHhweT/e/fvx+e\nnp6IjIykxqwSdOasjgQCAVxcXJCUlISIiAg0bdqUdSQiRlFRUXB0dERKSorYGqSCggKMHj0aLVq0\nwKFDh6CkpCSW/RLp9Ndff8HBwQHBwcEYMGAA6zhEjIqLi9G9e3f4+/tj2LBhYtvvrl27KkZl0s3/\nlaMzZ3UkLy+PX375BWZmZujfvz+ePHnCOhIRo4EDB8LMzAxbt24Vy/6ysrIwePBgqKurIyAggBoz\nUmfDhw/HsWPHMH78eBw9epR1HCJG9erVw9atWzFv3jyUlpaKfH8CgQArVqzA5s2bERUVRY3ZF1Bz\nJgTy8vLw9fWFk5MTevfujStXrrCORMRo8+bN2L59O54+fSrS/cTExKBXr16wtbXFgQMHoKCgINL9\nEdkxaNAgREZGYvHixVi2bBkEAgHrSERM7OzsxLJMUn5+PsaNG4cLFy4gOjoanTp1Eun+JB1d1hSy\ns2fPwsHBAWvXrsX06dNZxyFisnz5cjx+/BiHDx8WyfYDAwPh5uaGPXv2YMyYMSLZByEvXrzA+PHj\n0bx5cxw+fBiNGzdmHYmIQWJiIgYNGoTk5GS0atVK6Nt/9OgRRo0ahZ49e8Lf35+m+6kGas5E4MGD\nB7Czs8PgwYOxfft2uvQkA/Lz86GtrY2goCD06dNHaNstLy/H8uXLcezYMZw6dQr6+vpC2zYhlSkp\nKcGcOXNw7do1nDp1ClpaWqwjETGYM2cOBAIBdu7cKdTtRkVFYeLEiVi2bBlmz57NZGS7JKLmTERy\ncnIqJgYNCgoSydEI4ZdDhw7Bz88PN2/ehLx83e8YyM3NxeTJk5Gfn4/g4GD6HSJiw3Ecdu3ahTVr\n1iAwMBCDBg1iHYmI2OvXr6Gjo4Pz588L7SBw165dWLVqFQIDAzF48GChbFNW0D1nItK0aVOEhISg\nZ8+e6NmzJxITE1lHIiI2ZcoUKCgo4NChQ3Xe1sOHD9G7d29oamri3Llz1JgRsZKTk4OrqysCAwMx\nefJk7Ny5E3QcL91atmyJFStWwN3dvc7vdUlJCWbOnImff/4Z169fp8asFujMmRgEBATA3d0de/fu\nxahRo1jHISJ08+ZNjB07FqmpqbW+XycyMhJTpkzB6tWrMWPGDCEnJKRm/v77b4waNQp9+vTBjh07\n6H4hKVZWVgYjIyN4e3tj9OjRtdrGy5cvMWHCBDRu3BgBAQG8WB5KEtGZMzGYMmUKTp8+jdmzZ2Px\n4sUoLi5mHYmISK9evTBo0DDY24fBxgZQUwPk5D78U1MDbGyAo0eBsrLPX1taWgpvb284ODggKCiI\nGjPCC506dcL169fx/PlzDBw4EA8fPmQdiYiIoqIifHx8MH/+Qhw8WFLjGhYVFYUePXqgT58++PPP\nP6kxqwM6cyZG2dnZcHV1RWpqKg4cOIAePXqwjkSELDMTaNu2+s9VV//w3wkJCXB0dETr1q3x66+/\non379qILSUgtCAQC7NixA2vXroWXlxfmzJkjlHsrCb/Upobl5+djyZIlOHnyJHbv3o0RI0aINqQM\noL8sMVJVVUVwcDC8vLwwYsQILFmyhM6iSZGaFDUA0NAAMjI+nC0bNGgQXF1dERERQY0Z4SV5eXm4\nubnhxo0bFasJ0Fk06VKbGnb8+HUYGhoiNzcXCQkJ1JgJCZ05YyQ7OxszZ85EWloanUWTAmVlQG1n\nTBk61Ab79v1CTRmRGHQWTfrUpYb9+Wc4Ro2yFW4gGUd/TYyoqqri+PHjdBZNStRl7XMnp3BqzIhE\nobNo0qcuNayoiBozYaPmjCE5OTlMnDgR9+7dQ1paGkxMTHD79m2Eh4fDysoKAwcOhJWVFcLDw1lH\nJV9x8GBdXkuTMhLJ1KVLF1y6dAnjx49H79694evri9DQUKpfEqguNez334WXg3xAlzV5guM4HDt2\nDDNmzICcnBzevXtX8TUtLS34+vrC1paOTvhKTQ3Izq79a7OyhJuHEHF78OABRo8ejb///htFRUUV\nj1P9kgxfrGFdwgDIAQ8qfw+phgkfNWc8M3DgQFy6dOmzx62srPDXX38xSESqo64rktBfIZEGVlZW\nOHv2bKWPU/3ityprWJdwYMq/N/kfDgce2lT6NKphwkWXNSVEYWEh6wiEEPJFVd03m5ubK+YkhEg2\nas54pl69epU+Hhsbi5MnT9ISKjylqlr716qpCS8HISxVVb9u376NFStWUJPGY1XWsAe2QEDYF8+a\nUQ0TPmrOeGbu3LnQ0tL65DEtLS0sWLAAq1atQp8+fSq97EnYMjGp/WuNjYWXgxCWqqpfv/zyC548\neYIuXbpg+/btn9yTRvhBT6+k6i8+sK2yM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