{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load ../../preconfig.py\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(color_codes=True)\n", "plt.rcParams['axes.grid'] = False\n", "\n", "#import numpy as np\n", "#import pandas as pd\n", "\n", "#import sklearn\n", "\n", "#import itertools\n", "\n", "import logging\n", "logger = logging.getLogger()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "24 Single-Source Shortest Paths\n", "=================" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a **shortest-paths problem**, \n", "Given: a weighted, directed graph $G = (V, E)$, with weight function $w : E \\to \\mathcal{R}$. \n", "path $p = < v_0, v_1, \\dotsc, v_k >$, so \n", "$$w(p) = \\displaystyle \\sum_{i=1}^k w(v_{i-1}, v_i)$$.\n", "\n", "we define the **shortest-path weight** $\\delta(u, v)$ from $u$ to $v$ by \n", "\$$\n", " \\delta(u, v) = \\begin{cases}\n", " \\min{ w(p) : u \\overset{p}{\\to} v } & \\text{if p exist}\\\\\n", " \\infty & \\text{otherwise}\n", " \\end{cases}\n", "\$$\n", "\n", "**variants**:\n", "+ Single-destination shortest-paths problem\n", "+ Single-pair shortest-path problem\n", "+ All-pairs shortest-path problem\n", "\n", "**Optimal substructure of a shortest path**: \n", "subpath of $p$ is a shortest path between two of its internal nodes if $p$ is a shortest path.\n", "\n", "**Negative-weight edges**: whether a negative weight cycle exists?\n", "\n", "**Cycles**:\n", "+ negative-weight cycle: detect and remove\n", "+ positive-weight cycle: auto remove\n", "+ 0-weight cycle: detect and remove\n", "\n", "**Representing shortest paths**: \n", "a \"shortest-paths tree\": a rooted tree containing a shortest path from the source $s$ to every vertex that is reachable from $s$.\n", "\n", "**Relaxation**: \n", "modify the node's upper bound if detect a shorter path.\n", "\n", "\n", "INITIALIZE-SINGLE-SOURCE(G, s)\n", " for each vertex v in G.V\n", " v.d = infty\n", " v.pi = NIL\n", " s.d = 0\n", "\n", "RELAX(u, v, w)\n", " if v.d > u.d + w(u, v)\n", " v.d = u.d + w(u, v)\n", " v.pi = u\n", "\n", "\n", "**Properties of shortest paths and relaxtion**\n", "+ Triangle inequality\n", "+ Upper-bound property\n", "+ No-path property\n", "+ Convergence property\n", "+ Path-relaxation property\n", "+ Predecessor-subgraph property" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 24.1 The Bellman-Ford algorithm\n", "it returns a boolean valued indicating whether or not there is a negative-weight cycle that is reachable from the source.\n", "\n", "The algorithm relaxes edges, progressively decreasing an estimate $v.d$ on the weight of a shortest path from the source $s$ to each vertex $v \\in V$ until it achieves the actual shortest-path weight $\\delta(s, v)$.\n", "\n", "The Bellman-Fold algorithm runs in time $O(VE)$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o7zBHzOIEEWNIErfcN5cR/WOQJYna2lpaJThy1ZMKH2sQkVFRRERGHvGJiorG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P8WHhk6G8WRRLShZweNYfGEWTpeHUWx4nAAdce/lu3QXGxdsg6A6sIClv7nVfStQ6OmtlDeoCcx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\nLP5KXnzkz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Irh8eHo5aB03uZVr5eCHvWKpHR416NDJweX2jzl2636nePYpVMIiRvAOYlz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gcfztqWD90tnsWWtC6G/i//4mmPXsHIpKKvAASILUoeN58tlncH73Ke8tzSR/fyEOwG807czc\nrQsIMTlZ9+MSFn79DQfLXA2FC8b9aQa9yr/jn59uw+tTEJLMFx+s429PD+PLd+dxuKgUl1cAgg5p\nPRjWNZxl363lSI3LP78qyRgMBm585gv+dl33UwqdJElYgyNITk0gINCf3SigWy8GXdQfy9FPRwiE\nUIl072P/bOVE4fJWs+qLOdQqQPpSvt91O9NHJLVwMhmzLYi45O6kRPg7IHEJcfTt3ZWocPNppwBq\ns35kZf4ROo8eyuXjLiUl0gwkkNgplTDZw+OzNlLrFmCV0BnMhEXF0bNngv/H1jA6de9D//6dkKWj\nlyUQaj9sOXP4qEqvCbJGq+O0gUFGjx7N008/DUBRURHBwcHs2bOH/v37A3DJJZewYcMGMjMz6dev\nH3q9noCAABISEsjOzv51aw94aw+wankmgQk9SUts32ia1LiwsYX24IXnH6ZXnAGn04HT6aAwew+z\nXnyX/Ko6hOLF5/PhcReRX5ZPWf5WXvrzVD75bhtOEcS19z/Ny8/N4rE/jsPoPMKSD/+PVz/biBoU\nxRUPPcSovl0xHj2ZOYKhV9zGXx99hIf/MZQ+I27mH3+YRKTe5z+3w4nH7UISEgPu+ifvvvo4XfWO\nhno5cTpl/3ytLpTb73+YP1+X2lhnp9PJwhee4NlFuVgtCj6f3zTuqN+E1GkSL/ztFuKCpcZjs7du\n4csfs0jsM5Thg9LQK/7jnY56PnryPxR7T70K4RhNvhNvc+cqgcDlrCci7XKm3z0Oa7OdKuWZC1iy\nx0aHuHYY1Go++WAJFac579HPUpYk5DNy5oKynBwUoLygiH37CnB5FZAk9IYghlx5Jd2SfJTV+lq+\nLEVCUpqfRZIEdZW1dJv6L6Ze2+2CcNDTuLA4o0hdsizzyCOP8Mwzz3DFFVc082i02WzY7Xbq6+sJ\nDAxs3G61Wqmrqzv/NW6GSsnPi/m5wkD3vp1IaB9yQTjeaJwBkowlIIKgJu8ckpnOA8Yx/aE7GZ7a\njqDAAAKDYogPs7Du/XdYmOk/zJY0gOG9U5GQSO01Y+kKWAAAIABJREFUnC7B/u0LXn+VbLuJPsMu\noUds1DHzkd5GYtd+jBw1hnEXd8WoM9EhLZmImEBawhKdSoeYk9RbbyO2Xftmm2RjHBPv+zN3TL2c\nlMhgAgIDCQ7tRkJkABFRMQQHHsvTqw+OZfzUP/HCrFm8+Nxj9ApvUlDNZnLLjhOoM+E4O5nqdbBj\n3WI25zsZPrzHsY4JoHorWfDmHGy9r+YPk68gxqqjbM1cvt1R1oJp+5cR0SkNm0midN82PnzjZZau\n20F5dT1eRcUc3ZXfT7udpKCTfPEyzVo3IQSKt4qlsz9kK125ZEBiW3Cg0fgf44zfyeeff56Kigom\nTpyI2+1u3F5fX09QUBABAQHY7fYTtv+qKHX8OG8RXmsEXbv2IiJA86/+X0IIEE1UwBgcwYgrbuKm\niT0Y1iGVnzIOoFqi6d8tiOc/3dN4XGCwCUlxU1tbg8sHpkCgGnBksGZ3Gf0vsdBsvY4qEIrazMQp\nyTok6WT92dOslT/OFy3ioiu5f8pEzPZBJHboz/7SesI79KNnhAlXWfOqWKM6MmjIYCKtJny6BFLC\nYXP50b0llNW4oL2Rs8Fjr6Cg4CBHVwvWlx/g208+xnbJPVw6rE8TQVapyFrL5+srGffPGxnduZTV\n3y+jMPMQX72+hCv+cwsRxvMXjTek+5VMGj6PL9cUsGfT97xaUczqAROYNvUyuia2Z+ikKcjySQRZ\ncVNRVkRBgREZEChU5Kcz7+t5jBx5G6Pan2wSTEPjt+O0gvz1119z5MgR7rzzTkwmE7Is0717d9LT\n0xkwYABr1qxh0KBB9OjRg1deeQWPx4Pb7SY3N5fU1NRftfKe0p3MWVNKSFwvuvdJw6zNH/9Po7da\niYiLxiibSBo8htg+lyBkPe78lZT7PI3Hle9Yy9zZgcSGBVBdlsWW4mNl7C8oR3Aa79/zTGinJMKM\nElJoHMOvuZGLvQp6sxmDDK7jjtXpZAy6hnX4LcyCqucwM1qU/j6PPry8oTEQOKpLyc+3c9Ow5s2D\n8NWxav7XVAVfynWjUwg3RjGsW1c27DrMwZ1zWJN1Bdf0jDpvAfJlSwx/+NvTYH6dxSsyKN6fSUl+\nLtl71jLx5ru4blR/IgJPEpKvLof57z3P2vmBDbdKobq0iINFFYw5T/XT0DjfnFaQx44dy4wZM5g6\ndSo+n4+ZM2eSlJTEzJkz8Xq9JCcnM27cOCRJYtq0aUyZMqXR6ctoPLue+lkhFPat/ZZCj0TXmER6\npEZq5ur/cSQBktrwFkg6TBb/KKiiohif95hVRzZI5GXt4YjR72jUs/+gxn0WVxNnrv8ScmOdJfQG\nI/r/sqEnNDaJKX+4hQBAknwc3LaWLxZsoPnEssBeuJMFWw/Q786X6aDz4VGsDL2sH28uW0tZ3RGW\nLFrNqK4TCTacL0mWiE6+mIefTiQt9t989sMqMvIOk7t9Hf/cXkDpXx7jvjvHENzSZLDOxIBRYxjZ\nrzs6SUL12tm19kc+/3olWkOh0Vo5rSBbLBZmzZp1wvZPPvnkhG2TJk1i0qRJ56dmp0F1l7F86VaQ\ndSRddC2xNi1xlUbLGE0ByNKxEBDmuAE88vxMencMOeFYSdJhoOa/Wb3fnJAuN3LlmLGNTk7KsKEE\nmZ6jsEl/WihOtq1fQ+mRStLKNvP5p5moAoSjGFlvAF8dB7YtJiN/FMNSwjlX38qj43tJqLhdHvRm\nM+bgGK7922P0GjmMDz+dy7rv13HYWcBHLz5HSFoXpg/vwAmW66BO9B90FWNHpDTuGz28HxUHDqPT\nLGkarZQ2qmKCuvxMNuTWoDMGcsnY5o4nGhpNMdqsSLpjglybX8ihcjtGoxGTydT4RyeUlmd/JY6N\nqsS5GIVbN8KjNLMK6ExWBl0xhZGDOuOfEhY4Kw+xYd12wnteSkddPWXl5VRUlFPptnHluEFYgKKc\nA2zcnIFTOTf3LiEUaivLsbt9oNay6qvvOOQ4WjMTSReN4dGZj3HntCuJDTQA+Xz88QbcLRWmqChK\n8yels8Vw8x/u5uJYK676OqprHagX2sPUaNO0TUdD1UNW+iaKK6uwdZzKxSnBv3WNNFoLLQx+LKGR\nhJqN5B/d4NjHivUZjBuQhD+OjMDjqGHHqh8ojRzEhH6240oQCFRAoWL/XmpDEgjAvy742CES4ujJ\nhYK3mbOz2rob/uO75ZKe+OTuxONftyyEyqHsDLZvV7n6qdu56uLk5pfuPUzJsg0sLi9h9eoNXH/Z\nQFIij7+HDUWfohrumkI+ee0Nkm54hPEpdXzz3iz2RHTn3rGpHPUVs4QnMOH3k/k5ayeFa7KpLbfT\nol95005UIwY6jR6LEB7WzPuC3Z7O3Pq7YVi1EbNGK6FNjpAVVzmbMg9QaVcY9LvraHcePTs12i4q\nAkU9cXRmiOrG5F4dm2xx8uPb/+HrdbsoKiuntCiPtV+/zb0zXmTRmjx8x4unvY7yg/kcPrSLV267\nkefmZKKiIknHzlVfa6estApHfTW52zeRW960gEqKK50nFWXv8W7XTRHHCX8zWhCSk3p+H3dYk7XA\nQrhOmDeXJKkxDKdQnGxduRhnj57079WJwMAggoKO/QkO78KU+8diQmX/ytVszj588noKqTGyWpON\neByV/PT5a3yzvYLI0AAwhJBiLmfRv94i41A1jYNdScJkDsBs8/uEB8dHNAuEIh+9fklFlU60ZkjC\nR/nBDXz2xufYVRP6k3lpa2j8BrS9EbIQVB3KISsnC48unuvGdNV8NP4HURUnefv2UVxW37jNU1vN\nnvQN7O9oIjEuEoPsb5wlKYDx99/HN/mPk77rMF6vD1XZy99vmcqIa8Ziq9tH+rZcOvaZzOPTL8Eg\n1xEcasWol3D4BFDGih8+4EimxGZdF16+qhsBljyiwqPQU4kPKNyxnQ9eeY29Xc388N5nZPkAPciq\nDlkuZv7Hcwi4ahgJERa272ouWMXb1rMpsycpHeKICLE1vs/uunL27MmivMp57Brra8jNy6cuxUbV\nvn0cOm66O2t3NqUxaUQGW1r8LoQQeF12jhwuwunwG3vtezew99BoukWHYjHom8TDFvhctRzI+J55\n87YQf91ALEaJhrRLx56F10VU96HEs5Ac9QBfzFnEwOQ76BgdCl4XtZWHyCv3d15Ki0vYsT0TJTYA\nWRZ4nPVUHCmlYM86nnr1a/pOeJTkCBOSJJPUI4zir1fwr+djuOe2q+iWFINOrSdj5Y/s2ZOHKaoz\nf7x1MGYJhOLFUV/LobxCf6XspezN2EpmpNd/TULBXltF8eF81nz2ItsMiYzrnagFB9FoVej+8Y9/\n/OO3rsTZoXBg5waWLl2P1Hkyf731Yk6y8EHjAsZtP8gHL/6bjIJKjFYrVqsViwFqSgs4VBvMwH6d\nsRiOzRsbQjrSp3M0nno7tdW1CL0BkwlKDuZzxGnhopHX8eAjd9M53AySAZvJRe6OLCoVMBpNqC47\nLlsKN/3pEW4Y1BGzLZggSeHQnhzqZR1GI5QX57Iz18HAa8cR6szHbowgKaUL3Xr0JkT2Yg60cmTX\nJj5duAHVZMbaUG9DfSE5hyvAkkxaamSjE1Lx3lW8/t58CitcWI4eK7xUlTnp2qcja/79Oj8V2DE1\n7LNarZQUVxOdmEbn+NATHZ3Avzph8xI+/2oZOflH0BnM6A12qqrq0AdH0KFdJLrGH6oUblzAu+99\nyq5KBYMe7J4QevVIwNCk8KqctXy+8CcKCo+A1Yqj6BDVXi+Jad2p3bOFbxfMZ+WOYrBYUF1Oigry\nyd6TwY6tP7Nx3Vp+WPoda7bsxRoYyJBpdzMmLRpZ0qGUbuCnvTKRphr2ZO6hoDCfHT+vY9l3K3AE\nJHHVzfdx+7juGCRwVRxk2dJv+HbJCsrqBFaTSvmRwxzYn83OHdvYuiWdtat/ZPHSFeRWSCSkXsSk\nmyYQadHyPWm0HiRxLolEf0uEQsnBvaSnZ2FM7se4fom/dY00fgN87kq2b8xsiBd9HKYYBvRPaSbI\n4E9EUlWUy+6dezh4pByn24fJGkq7+A50TUsjNtx2LCuU187+bdvIPJBLtd2H0RZEYpfeDOibiqnh\nGMVVw76t29mTn0eVQ8UcEEx0bDK9eyVRvH0lhd4w2reLJDgwCJvVgtVqoCw/l0Pl1S0YoWVC2nej\nR2pEo5DWHDnAjr2FLVyghc49kyjN3E3V8bt0JmISupISF9KiIAtVpTg3g/3HD62ByIROdOoQ08SM\nq1Kxfxu7Dh8L+IM5hsEXpWLUHTON20uy2JpV0qwsSZLp3G8gctlB9h8swtvCVZyAJNOxxwASwvzm\n6Jrc1azNMpGaaKO0sJAjlXW4fQpmWxAdkjrRrWsyNqPfyOepK2NP1n5q6j2nOkMjAcGxpPVKwayZ\nrDVaEW1PkBGoqoqqCCSdjE7W5o81zgaBqqiNaRBlWYderz9JxCcVn9eLT/GHj9Ub9C3EShf4PB58\ngoaydEiAUBWEpEOWzyxus8aJCFVBUSX0etn//4rqTxgi69DpdOe8tEpDo7XSBgVZQ0NDQ0PjwkMb\nXmpoaGhoaLQCNEHW0NDQ0NBoBWiCrKGhoaGh0QrQBFlDQ0NDQ6MVoAmyhoaGhoZGK0ATZA0NDQ0N\njVaAJsgaGhoaGhqtAE2QNTQ0NDQ0WgFtL7kEgBDHhR6UtKg9GhoaGhptmjYnyKrixelw4HA48TYk\nQjdabATYbJgMek2YNTQ0NDTaJG1KkH2uOvKzM1mx4idyj9gxGWS8TjteYzBDx17N0P5phAcYm6SP\nu3BQPC7sLh8BAbYm2Xg0NDQ0NC4U2swcsuqtZ8fyT7n7/hl8tTabiM79GXv5ZfRJCmPrmu957tGZ\nfLxoC+4T89O3eYTq42DGGt6b8y0VdvdvXR0NDQ0NjV+BNpJcQlCdvYTLp8ygxhvGA699wO0jkpHx\nZ4RJX/wO9814hUp5CIt+epvuDenbLgiEoL4sh1lPPcqHW6NY9NWzdG8f/FvX6pdzgh/A+aUlK8mp\nXvWjx5/8GAnOocYXorVGQ0Pj16GNmKwV9q5djbu+HlvwUEYMTGoc2kuyji69hjAi7RMWpP9Een7d\nhSPIQsVdd4Sl77zO/MU/Q8yV6C6QZH6qz0nhwQJq6t2c0cS/kAiOiCfK5iGvqAyPT2lm3lFV0MkS\nBqOFoJAQgoMDsZhNzXICl+XtpaTeC6LJRp2BiKhY2kUGIQOK10lh7gFq3WqDmKoYzMHEJcQjqorI\nL66Epik/VUD2C7mAxvSMeoOVuKQkgkwXxvPS0ND49WkjgqzitDsQqsDrO0xBYRVJqWHoJBpGWmpD\no25A/W8O+IVAVRV8SnM7uSTr0OtkFK8bh9ONiozZYsFk0B0biakKbpcTt8eHkCT0eiNmiwl9Q2Mv\nhIKjspDv33+dN97/ljoAnYqiePF4PP6csDL4fErzcZukw6CXAYHP6ztun4ROp0cnSwhVwetTmtdb\n0qHXS/g8bhwuDwIJs9mCXgeq2vy+yjo9OlnG53HidHn8eWr1RqxWS5ME9ydHdRzhm7nvs257EcHh\nQZgMOlA8VFXX4vOp6C1BhAZZQCh4HHVU1+u4+Ip7mDrCxu4tq1mxNp3qGidIBoJDgzHodMiSiupT\nMZhtxPcYwtVXjCGhXQC6hnOW7N/O4rUbyT5QhtsnkC3BdOo/lCtGj6ZdZBAAPlc1239cwqrNuyh3\neQiOimbgyKsY174d9fnZrFq2kB17y3EqYLQFEmyxIuv9gqwCklBx1lZhiunMXX+ZQY9I02nvhYaG\nhga0GUGWsNpsSLKEvSaH+f9ZROL/t3fncVVVe+PHP3ufAc7hMCooCDIoiDimpqZpVg715CsrZzPz\nqplm97G6DWqW3rKbDbf71H2sJ+s2OGRWptaTlt4GNOcJFVBEBFFAZJDhHA5n2uv5A0RQFPVXAv3W\nmxevl+fstc9Z5+vmfPdae621nx5LVLAZBTcnjyZxNLUIn8AedIv0vYH18nD2dAZHM07h0XTVPZqC\ngIgo2rf25fj+7Wzfm0o5ZjrfPIg7+nfBYgS3o4K8k+ns37uLoxlnwduEf6u2dOt+Ewmx0fibdFQW\nZbP+vbd477MN5J1/O9tZ9u7eSYG/maCwDkQFVJBy7CROl0pVatVQfcLp3zsWl/UMBw6k4nCrUN2q\n1pktxCV0JizQhCP/CDuS89Fq2pkeTC060DlKT8qubWxNOoZbeNG1762E+kNZsQ2tpnUuCGnXgXAf\nD8l7drAvJYNyhwe/0Bj69utL59hofIxXHp4gPA5OZh0j45Q/j4waTqeIILRzybzy+v+QkV1MzG2z\nmP7QANSKEtJ2b+C9FVtp08+GuVUnBg3+D7zKUnnq71vAJ4HZ8ybQNzYEp62IpE0b+Gr9d2xO3EbK\n/jJefutBwryrDvOYm+9gsPCQvO119mbaaDn4WZ6/ZzBtW7es+WQGUyB977qLvOTDLP31MNPemc3g\n3h1pYTLi2+Em7vXTc3TqFLbmQvcR05g2djAmvVrdo63hqihh99olfJuejt39BxzQIEnS76aZJGQ9\nCQMHE7nsBw6dKuenr5di9jEwc+owTPZ0Vr7/LtmqLyP+PIWugTewRSI8pKfsZsk/3ud4Xgme6lZk\nj3tGcmcbK28u/R6ny4VAwfDJj7zxvysZHA6HE9fyxtsfcSgjj5DoBNq1tZCyegW2ypZMfnEB0+67\nhVO/JvL9z3sorKzVMi1L5eN33sJL702f22YzukcOn364jB3Hzl4o03IEmzYswJ6+lXf+8QmnT+dh\nrXQB4B3dk+cWvc7IQBO5O5fz1rs7OZVTyPm00fqmaYzpcobln37DWbcbIRT8/72Jtu1jsB7dT06h\nteZt+o0cR/uCX1mWmI3L7UYIUHQ6Vga04Nl/fsn9vcNqWqb1UgBMTFrwNFOGdkKvU3GeUfH1MQPF\n+IbG0qd3b4xC0KdfX+xH7uWEQ6DzMhPcJpoePeOADeAXQtfuPeiVEApC4+YendCfy+PtH/ayd/cn\nJKbexbgerVAAS1Br4jt1JbxNELszbbS5qScJMW3q9JjrDCbC2nXi5t6RrNxip//ttxBhqTq5MAa0\nxBLQiwh/IBci4uPpdfPNmA3nTz4EQhMkRKvseWkdqhwNL0nSNWgmo6wV/DrcxrMPDSY60IDw5LP+\n4zd5edGrvDR7Fj9mBTNu1jP8efRteOlu4EdSvRgwbAwvzByKEQcVFRVUVFTw65fLeeWjRPwsHjwu\nN26XC3tFModPl5C171tee3kBu1NO4jBEMPsfn/DO3xZyb5/2OK0ZvDvnT3yRmEmLnrcybe4sYr2M\nF94vMIEpjz/Ns/Oe4L4xCXQaPokFC6ZjrH7fiooKKvQehALRvUbz3ptz6RQVULPN43BiqG4LRt+3\nmHmP3Vdn3xPb3uHtlRuxGXS4XW7cbhdFBYIBdz7IE6N7XniPigr+veJT1mb40G/QQBJiwsDtxuVw\nUHy2kHUrvqfMc+VLB6rBh/jOd3Nn9wgM+uqufAVqmqoOQFFQVBWDlz9DHxpPbJBPzeaawVJuqq7j\nKqCoKkb/MLrfHIqXQcHldpBfbK/1rgoIBUWr2lf1KNR7SV4x0CoqDC+Tgk5cXODCPpqmXbJAjeYs\nw+59E88+PJ4IH8MVYyBJklRbM0nIAN70nbaApx8dRVwAQBnbvl/Hj6nltG47iPvuvYsgH2NDL/Lb\n03nRokVr9PoLnQ2KviW3j5vKX/7yEF1b++NrseAX0I72LWysfedD9p6qKhfYdzzD4v0xBYXRK649\nAQYQmsbXHy/HHhDFwEH9idDXameawuh7a38G3zmEnvHh6NAR1rE7HWrXx0lV17mi4h/cCt+g+kdk\nK0CL4Nb41XrOYA7g9lF/4rGHH6BtaDAWi4VWYSGEtgknNrpNnf1NkT15fN7L/Nc/3+bJySNoba7e\nIFyUFx2h0Fr3+vQlYbOEMX7qaOJCrm7EeEz/Bxk/tks9XTpKrZHMArfTRlGhhkcDnQq+xuvrBNIb\nDCjKtf15CM3D2aRvWPLBURIG3EoryxX7CCRJkupoJl3WVTSPkZjuvWllWUOeYsFZVord7SEncyMr\nVgYyZeIYokP8bvhUE02D2mPJ/Nr3YvKYMfSOMdHGJ5YDWUWYQzrQWz3Cazsya8oFt7ZQWVaGU7hR\nTaAaAZeguOAw6blWoqIvamW6NbSLG56KyuVOQ4S4qGKX1rzOI/+geMZPeYRe/lbatuvI0dPFhER1\nYkDXUGw/192zRefb+I++cXjrdbQKCaalGU5XAAgqXYVYK93gf6XDS4ePxXyF7XXpvX0JqG/wvOLG\n5azEbivHXmHlVPJW1iceoNKtIyIsjI7RgVf9HteqoriY09nZmKq7rF0VhWxc+jnf5oxiHrci28eS\nJF2L5pOQPQ5O7vmO559+k4KAXkyfdS+5G79m4+7dFJdmsfajf+JRLcyZOQZ/78ZtmVjCWtPCz4Si\nmul59wN0drjRGY2U7HyHwlrlsr75gKXB+RhcVpJ2HqCwoup5m93BmaJyRPSNrbeXIZiwYAsGbwt3\n3DOSfi43eoMXBoOOExeVNRr0NVN8Lp6fK/h95xjXUXSMHVt+oOCgxsGkA+zdfhi7qic67lamPPsU\nPcPMv9tEsV3fruKFgz9Wr5wmcNjOcTI9C3o3o44nSZKajGaSkAW2nL288J+LOFgOYyY+ysPjBuI9\n8g7iX36M//kuhZyicr58+y1ibhnEtL6hjTpbVxFKdY5SUHUGTOaqtlJB9tE65XTeCknbtyM0AUoA\nPW7uXbXBNwydy3njkloNtSZuqsGI2XCFSwBCXM86Gb89vYNtP6zly7Rj2DQBtGf6c08z+eE7CTFf\n7+EtqqfRXXyNuC5z+75MnDAIb6MKuCk8kcS6Lz4nTQ6uliTpOjSPhCycJG34hiPl5fj6d+G+Ubfg\nDWAIZuyCj/ANe5W3P1xHZmEh//3xzzzcd8Jlu3Ebk9kcXOexX7fxfPjeQ+gumR6joNPpULWsG1a3\n69IUBhEHdeepBY9x9LN/8P73u6l0FpORnYvd6USY9fVUsXaKvfwHsFdY8WDC6wp/If1u683gYUNr\njbIeRteAQmZ8Jq8dS5J07ZpH35pmIy0tH4dTQ+/bjbCgC1fnVJ2FO0dPY+gtndEDtpwinI1X0ysy\nBdYdwHRmzyHOOFS8vLxqfo1GI4rwIOpLFudHIQuBEJdpvSn17VDftt9AU2ghu8HoE870+fMZeUcX\nTIZz/LjmI9757BfO2V2XFFcQKNXXzp2XiyEeCk+fwWmOIsR4+aB5Ll6UBR1xQx7hyYd6orrslJaW\n1tyRTJIkqSENJmRN05g3bx7jx4/nwQcf5Pjx4xw5coSBAwcyadIkJk2axMaNGwH44osvGDlyJOPG\njeOXX3757WopBJomEAI0RykVrtpfcgom/xZERURhguqRUY3sMt/hfuHR+NaO+LlfWPtLBs6ajyOo\nLM1n27//zZFTJfUkCzcaAs3jIO9EJsXlDgRQZzyzQdSsDCm0qnmxFzR0bfcaz89+zxby1Val+pzD\nGJzAtMdmcWeX1hhcp/lu6at8smE/VmfdhKgzGDGYqgaTZaZmYK8nXwqPnfwzdggKxPsK9VDqCYCx\nRTwPjOxAwdGtLFv1OadLHE3ivEWSpKavwa+9n376CUVRWLVqFbNnz+att94iOTmZKVOmsGzZMpYt\nW8bdd99NYWEhy5cvZ/Xq1Xz44Yf8/e9/x+W6tIVSW4lWenW11FmIiwvBy0ul0rqTPckFuGu+5QQu\nh41zZYW4gLCu0VWJuRG5Na3e1GeKvp2xHYNqPVPKqgVvsOVQBgVFheRkpfDthwt4+tVP2JdeeOkr\n5OWQmZNPVuoWXpo9j037chGairt2GWsBWXkl2O3lnDiWxtmC4ppNTqudsqLSmgVMhKJQN13DZReX\nEhdNY6ozkr2eubrXka3r7GFs4NTh/JQkffUJiALhnQfwpz9NJj7IB3fJaVa+/iwb9mbhrDUn2jsw\nhDbRMRh1ULF5LTtPnqt7QiM0yk8d5+eUbGJv7VTPsaTULlpPL4FCZdkZNn6xkv0nbRgN9XWbS5Ik\nXUq3cOHChVcqEBMTw+23346iKOzevZuioiKKi4s5cOAAa9asYf/+/fTp04f9+/fjcrm44447MBqN\n7Nixg6ioKEJCQi772u9Zl9LV0AWDoq+3tVFD0RMQ4kfGkUNknCom55ST8KgwfL0VKm3F7Nu8ni/X\nfoO7dRcWvfhnogNuUCtZaFSUFbD/px/YtDOZyuqWu0vzJjY2mkB/fyw+XrUWszDTKtybvUkplJbb\n0QRUVmSyPXEn2aePs3Hl26zcdJp7xs5gyviBmNVK9q1bzeHiyurv/XyO5RaQ/PNaCsP78eCYIQT7\n6MhO/JYDhbaqKVG2LJJP2ak8m8zKT5exOyUHgwBNVdHsbjSXwBAWQaRPJbu2bGbzliQqz9fPKGiT\n0JVW/j6YvA2oioLQ3JSezWbrxvX8dCCr5qMbWkbSq0s8QRaV5F9/4ceteyipvlZgsATRvmsfYlr5\nodepDSYkIQSOijJyj+3n2w2JFJZW4NeiLf1v6YjJy4BeVS+sAe5xYi0r5tjOTaz9KRnwIqHnTcS0\nDsLLy0RoTDQ+zhJ2HU6j9Fwp2ccLaNO+A8FBvlVrieu9aKmUc3TfIc6UnWB/jos2LSzohAd7+Tky\n0w6ybtkK9qc7eOQ/J9E+xO98JXHYbRTnZ/HdilUcLwfF1IbY8CCsZaUUFxdxJieb1MN7+WX9cpas\n2EefoSO5o188RrlilyRJV6HBhAxVqyLNmTOHTz/9lCeeeAKLxcKIESN49NFHSU9PZ8uWLfj7+2O1\nWunXrx8AiYmJxMTEEBERcdnXfbLkL7TVRxCtj0KnXHkgjHdAGF3btwLh4dTRvSSnniQv5wQH9+1g\n06ZE1Oh+PDxjNkO7tKk1Hef35iZ93y989NE3FDo1TGYzZrMZo+scp3JzOetoyy09wussIenXuh1R\nISasRYWU213oDUY0l5WTJ7KwmmMZMXoSjzwg79OCAAAKVUlEQVQ6mtZmHagmAk2FHNqfjdNowMvL\nC3tBHmrk7UyZPpW+7Vuiqmai4n3Izsyh2OrCaPTCduY4qWnZRHbpjUXvQbggtF0nOndpT5AfVFgi\niS5LZMnH31Hk0WOurrdOdXMy8yTm0LbEtQ3FoCoIRymJP3zFx19tQ9MZasoKaxF5BToSOvqw9oOV\nHC9z431+m9tDgdVIzx4JBFm8GkzImruSpM2f8eU3P3PidCF6LxOq8yxFpVZMLVsTHhxU839aceYo\n69atY8N3iZQ4Vcx6O8XnyigpdBN7Uzxmg5l2Ce1xl53i+Olz2MtLyM3Nx9gmlo7hgYBKQFgkLX1M\n2GzlZKfs41DyMU6dzODQ/t38uHkTR8pNjJg+g7t6dsCor26JCzsHNnzHNxu+ZdeRQnRmM/b8s5zK\nPk7yoYPs37+XHVsT+X7DN2w9kIVPeBzD7hvNTTEtkPlYkqSrcU33Qy4qKmL06NF8/vnnNS3fjIwM\nFi1axKRJk9iyZQsLFiwA4PHHH2fmzJl06tTpsq/XIa8T3Qxdec7vGbobujWYlAFsRbkcTUsj50wx\nlU43HkUhoGUoMXEdiA5teeEL9EYQHgpysjiWnk19nfOKbxy39mpzyZrOHmcFp44f4WjacXKLStGE\nHot/EKHRsXTr2pEArwufQXMUs2/Ldo7l5lNRKTAHhZDQvQ+dY1vVLDwhhJOTKQc4kJpOcUkFem8/\nQiMiiI9vR256KgU2N6Gt2xAYYMHHx4TJxx8KUjiQWf8lg+CoOOIiw6oSsttORnoap8+cq6ekH527\nR5CZlILt4k3eLenaJY7Aq0nIHicnU3ZzsujSKIbFdqJdm2B01QnZUZLDgZQTVDrdF5X0p+fAm/DV\nVSfuwgx2H86u2RoY3ZluURdGuQtXBdkZxzmeeYqSsnKcHg1UA36BLYiIbke7yDb41B5irTnJPHiI\nkyXlDXyaKnqTH+3jO9EqwFt2WUuSdFUaTMjr168nPz+f6dOnY7VaGTFiBC1btuT555+na9eurFix\ngjNnzjB58mSmTJnCV199hcPhYOzYsaxbtw6j8fLdx3F5CejQMdj7Tp71/QsR+su3pmsTQqB5PDW3\nWlSrbynYvAg8bnf17ROrbouo16v1rjImhAeX0119i0MDRv2lJy5CCDxuF26PhqLqMOj1qGrVSGBU\nXTOMz40hNA8ej1Z1LNW6PaUkSdLvQSAue4m2wYRst9uZO3cuhYWFuN1upk+fTmhoKC+99BIGg4Hg\n4GBeeuklfHx8+PLLL1m9ejVCCGbOnMngwYOvWLG4vISqSqAw0TyBWb4zCVACb2CXsyRJkiT9/gQC\nTWiku9OJN8TXW+aauqx/a+cTMoAOHRN8xjHONJYofST6hgZ6SZIkSVIzIITAjp0DziT+u/xdVrVc\nUW+5JrNSlwcPq2yryfecZZx5DN0N3fBRfG74jSIkSZIk6beioVGoFZHo2MIq2+ekuo9ctmyTScgA\nbtz8VPkzWe4sRptHMsRrMCG6EPRKk6qmJEmSJDXIrtk57cnhs4rP2Vy5mQKt8IrLMzWZLuuLKSj0\n9+rHIz5TiTd0wF/1R20mK31KkiRJ//9yCzdntQK2On7lvfL3ydPy6iTiY6Gp9e7XZJueAsGvjm0c\ndiVzt/cwbvcaRIKhI/6qP3r06NDJ7mxJkiSpUQlE1SwXPLhxk+s+wyHXQTZUfs9Oxy4cOK76tZps\nC7k2BYUIXTg9jD1IMHQkTh9LpK4tFtVSlZwVHed/FEWRg8EkSZKk34VHeKj5ER5cuDinnSPdnUG6\n6xiHXMkkuZKuuDT05VrIzSIh1+av+BOiCyZMF0qMPoZQNZQgXSBBShBBuiDMipmGF2uUJEmSpKsn\nAA0PpVopxdq5mt9sz0ky3Vnke/I5qxVQKSobfK0/TEI+T0HBgB69okc93z5WdBgVA0alCdzxSZIk\nSfrD0ITAIRy4hbumhayh4RIu3Fy8cuCVNcmELEmSJElSFTlsWZIkSZKaAJmQJUmSJKkJkAlZkiRJ\nkpoAmZAlSZIkqQmQCVmSJEmSmgCZkCVJkiSpCZAJWZIkSZKagEZZy1oIwcKFC0lLS8NoNPLKK68Q\nERHRGFVpNg4ePMibb77J8uXLyc7OZs6cOaiqSmxsLAsWLADgiy++YPXq1RgMBmbMmMGgQYMat9JN\niNvtZt68eeTk5OByuZgxYwbt27eXcbwGmqYxf/58MjMzUVWVv/71rxiNRhnD61BUVMTIkSP5+OOP\n0el0MobX6IEHHsBisQAQHh7OjBkz/hgxFI1g06ZNYs6cOUIIIZKSksTMmTMboxrNxgcffCCGDx8u\nxo4dK4QQYsaMGWLPnj1CCCFefPFFsXnzZlFQUCCGDx8uXC6XKC8vF8OHDxdOp7Mxq92krFmzRvzt\nb38TQghRWloqBg0aJON4jTZv3izmzZsnhBBi165dYubMmTKG18HlcolZs2aJYcOGiRMnTsgYXiOH\nwyHuv//+Os/9UWLYKF3W+/btY8CAAQB069aN5OTkxqhGsxEZGcmSJUtqHqekpNCrVy8ABg4cyPbt\n2zl06BA9e/ZEr9djsViIiooiLS2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/bellman_ford.png'))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9G/b16lGqVCmOalGgVCoVvbr3YG9ySER2iKJIm3Zt6dy5C5f9rrJowcIcr/mc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GDp0qW0aNGC4OBgdDodRYoU4dSpUxQuXJhDhw5RpEgRPDw8mDRpEkajEYPBQGBgIG5ubu87Dx+V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\nK2hriWFsYqVGmsXgvu5w7zwcv83rCUeHjoi6fADtZxxA8etzWHguHRvmD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig24_4.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 24.2 Single-source shortest paths in directed acyclic graphs\n", "\n", "By relaxing the edges of a weighted dag (directed acyclic graph) $G = (V, E)$ according to a *topological sort* of its vertices, we can compute shortest paths from a single source in $O(V + E)$ time." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vra7geGERYc0SCLKcuc+6qit4/p7bSXxuBuMSw+uPa7Kd7ApBtK9G1vEsTP5N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bpkZGT+NUjZEZfAFjtb+YzfnoUQSFJuGESFUpmdgF5G5vXhX6mQJUlCqfzvT+6FEBi0GrR6IwqV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\nhhdainNjKaUYBXPj9IIZhVpWW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/dag.png'))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2rl9P4eGanWbxM/Pd3UkqldLhQ4fo+rVreX6I69euR3169SZry+p0MyJvvTSR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\nSAy7i8n+Y6F/OQIWVZgxfTaun9qPw5eVi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig24_5.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "interesting application: to determine critical paths in **PERT chart** analysis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 24.3 Dijkstra's algorithm (greedy strategy)\n", "weighted, directed graph $G = (V, E)$ and all $w(u, v) \\geq 0$.\n", "\n", "Dijkstra's algorithm maintains a set $S$ of vertices whose final shortest-path weights from the source $s$ have already been determined.\n", "\n", "we use a min-priority queue $Q$ of vertices, keyed by their $d$ values." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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titdN3oEV3DV0FHd9Not72lTdeUxx2yl1a/E1aXDabdjsDiSdCV8/S61L9Nyl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IanR3Z5/Jrfw4HiIupbNfQSKAKMNjNms/GYCAkf1aWlVDU0ogZv4SVJQ5J0WKP70DfVTnlJCdUt\nHmQhkA1WMrOziQ4zd+hzlJYqdu07jB8JSQg0AVHxmeRmxnW4SfM7jrB0+WpKG3VMmJxHWrTlhMdr\nxIChsoLfP/8Wny3bhjFxENfc9QBXTRrSqbPWGaPIu2gG6fPyOeD28Pmr87lr5qMkGtudGJ2FkZd+\nh4n/ns/Hc18maWgGP71qDOYuPIwhzj29RpC9tZv4x5tbMY6aSHVFMSVyEtGxMURFhGEyhBKynzoC\nTdNQVe2EFkvAStQACb1B37vvqjXQhEqdVtvhZaEpqMLMhVdeg84cFjhGCXQy1JXtpWDvPpp9AVFO\n6DucsUOHIMuBdQwmPc3Fa1he0IzJYqfv0KEMTeoLqkLZvi0sWLmfsIgwzCY9aAoOhwOvX0VvDCMq\n0gyahs/tpNmtZ/RF15IwOhzZU8u61ZtobPGAZCQmNgIdoGkKrY4WPIpK5shpzLx4HPERppN+JkKp\nZ9Piz3H3HU//rGSird1/jqrXSdHW1SxbsY5GzUpEmJ2cvv3ReevYv30f+V804QMicsYxaIhA03kp\nWPYJO51m7HY7Rr0O1efG0dyCX4A9KharQUJT/TibHGhGM1dmD+6xIAtA1usxygKvEPhaGyncVEi/\n1Dxs+s5WpttRw76CfST0G4KpopD9Tb4O4/EAQtVQNT+H92xi5/5qPIDJGsagvAsZmmRAVfx43A1s\nXrOB6rpmkCSGTZ7NdyaPwdyu2T6vl7qKYrYU7KNVMRDXZxDTp2V3bL9QKNuzjYOlh5EMGQwf0gd9\nNx+A3eNnzT8WsHz5NpD0XDjxVm6dORpzFxtJkkxEZASx4XDADa3VRTgVOL5olDEil5uuG86HT3/G\nqvn/ZtbEwQxLtPbu7/M3lN4hyJqb1a/9nWIBYtMaHtu0Bghj5PTpTJ86lckTx5GRGBma7tRjBM6a\ng+SvWU+lw489oi+TLx1LjPWYq00Ilaq9O1mzfhsuKYwrbplDTO+4Wk6IV3jxC6XdKwJ3zX7W7qgn\nb9pEbEf7d0lHVFI2M+akkLXqM+Yt2Y5TlTCbo8jumxkoEyn0REVHY7FFYzRbmTBjJuNHZGKSQShu\nkGQiE/oz84pLyEmJBncVc9/7gD0lNYRnT+Gum0aj87mpOrCdjz9bBUYJc0QCw8dfSoShlX/O3wRh\nOdx01xzizDp8rib2rlvDktUbKN60gi8xcsWsMYR1FzEsVKp3Lmdvq4CSQxyqbiI6I4aufeICv6uB\nDSsXsnjNXmzRcYwZfwmTxw7BEvzcvS015H+6kE37imkfCyoZTGQOncD0i8YSF2GhoWQHH777ARUe\nGH/dnUxINeFxNrLry8V8sbvslKPKbfFpjEgPY/OWAlp9fiqrijhUPZj+yWEdvWRCpWLPJkq8ccwc\nPJDykqIu308yWEjrO5i0vql4fvMCO9yQOXYal180An3Qchww4iIyUiJ58U/v0SoE25etJDw6kUnD\nUjEF5w7b4rO5+NJohN/JxuYM7rp9GuYO51aguh3sK6vA4QNr/xHEmE987Hoh49u+n0Ur1uMSYO0z\ngjsfupzobhRc1uvQBR2DQjTR4lbBetwXVZLIvehiwqXPOFBYwvqtxQyeMSTUX56H9I4hV83Brr0t\npGcmExUZgd1qBlrY+sWH/OGZX/P0s/9kZ3nLeRCO0ksQCmvffoY/vvACf3rhGR578Be89sWBDuOA\nQmll/Rfv8dzTv+F3f1+F51QDaIXA53XT0uKgpaXlNH8cOJzuMxK7K2QVr+JFURVUVUVVVfy+Vkq2\nrmXDpkI8ShcbSWb6TriUSSNz0es0SndtIX/XQfyaQPW72Ld5LSt3NTBm8gwuCIrxUXSGMIZfMIK+\nabEY9Tp0sg5JFxBPSQoEaxlMNvoMvIALByWhbzf9VmcKmjgGIyZZQpJkTPZohl08hRGpRsBDVUM5\nTa7u5+xqngbWrtyJXq8Hx2F2FpWd8DsiNC/F61ayeM0eDNZIhk+czpQxA9vEGMAUFs+kOVczbmh2\nwF0sBAgJkz2VoSNHkhBtR6eT0ell9EdHj2QZWdZjDY9jzMyLSbOcerFqIRlJGTiC1LBAfueWmsMU\nHSjDd9wgsNpaxYaNhcSmpdAnLRblpL2bhfDIwDOjUe4UzWeJjiVGDnqHpEZWLfyUzcXVKOqx/epM\nZsIjooiMCcN0fLsFOJtqqSk/AkD2oD4nrHisQ0cfEcXeT5ZTWOUF9Iz/7sMMSzqxezvwHfPT6j36\nryfo0eqMNXUIo8KBxkPs3LULpy/UW56P9A6bR45izlPPMtXjpqWumr271vPuvGXU11bjcNSwbsEb\nVHsj+c8rtxF/zuYY9iK0etYsLObynz1Fxfx/MG9tAcu/3M1DV/bl6Nff09xA4Y4tuIBBMy4n4VSH\n54WPgtWf8vGKbQj5dMf2Ffy2Ufzq0WuwnuY7BNqi0Vixj62bjRywHsAtu5GESv3h/WzcWQFknthm\n04cxcsp0qhvq2Hagnq3LFpCSHE9U8x7WbtxNTt40JuVlYm7f+euMZA0YjTCGdR1J26F+vUzO2IuJ\n8oZ3bsPxfabeQmxcOJTVoikaotugMY3aku3sbohk6IgUirbsomTLDiouHEZ6J3exwF1XxoaCgEUZ\nnZjD8EF9MXcxFCTrwxg4YhSHdhxGk0CnNzNyyhTMiWEnOIfH2ihbE7lkxnQsx1twJ0FooLcmMnF0\nNsWfb0fTXOzeVUje8FwSw4MCL1Qqd6yhxKFnRN4g4mx6uhrCPuE+unxRIFnD6d8/i9qi3VS3VJK/\n9AuirJfTPzUKnRS8WdIbTrivxroKyht9gExKYniX6xgwkKnPILW0iB9/uQ8AnWUEP7hmGIZujFiB\noLmxgYZg4L4sJRJ+onNrSmBgpoHl2z2s27KXeqeHSHOogMX5Ri8RZCOpuf1JFYFwnLxJU7n59vv5\n8NWn+L+3ltLY4uLAkud5d+0MfjQltZeY/ecQ2cyAsbOZcMko3vv8v0iA8HeMlK0v38mGFcWAictm\nDD71C0UoVJUdZN2S5bR+FRM3Ogz/o19hewDhZ++q13luXzS+MX40mwYIvO5W3B4fppOovSkinrFj\nJ1BRsYjqljo+ffcdog0tGDLGcen4wViPcylKkkx0fEKPm2eLTaPLrvG4CG9fawMHSwK9r8mgR687\n8ZWuKS3syN+PLn0Cky9IwFWyl6KGYlZsPszNF/XpmB1KaFSXlFDX3AKSREL/4STYT/CJSxCVksM0\nayKRJj3IMvEZGT08Uh2pg4f0cN3O22aOnUjKqgLK3Qruyp1sLh3PrKFpgUhvdw3LVu7HHBbDkEHZ\nGOTmM9IPCJ2JjGGTyBU+Ptmym+aKItasDCN69iwSw04+hu9zO/EJgFj6RHf0DkiARbKSrc8iV5/F\n9sXPUxtMGpc9+zuMjDnJjaymUH2khJqgo8QYOYwoy4laZKffqEzYvg9nRQMub1cuoRDnmt4hyEeR\nggkTdHqM9jiu/eGzGG1h/P5v86lzeFn8zip+MPkmbKGhke6RIrnpuZ/iOLiefXVVKEB8ZhxHv/5C\nc7Np0f/YK0CKHMMFWZGnvg+dhfGXXUfcwIko4jQ/EE0DazJfOZ2BJNP3wst5+N4bOGgspEp3BIRC\nzaEiNq/bQO1JsjVKko6kvgMZPraMZet24WuqxBGfyRVjR2DvMrJf6maebFfvf4KVVReO5ib8wk9z\ncwOlO9azvUVgtkUzoF86UWFdO0CF0GiqOEixw89F1w4mIhrSc3M4sGEP+z9fTtXoG0mxtY86VnA2\ne/D5AEkiKjKsmwhuCZ3RSkLC6fsshKahdpGPSAgpMGXoRNO+LMlcPKkf//1iN4oQrF+5mQv6JhNt\nElTu3kmFx0/qoItIizQgKZyRCeUCUDEx9rLpVLQ0s7W4kvLC3ayI7sPl00ZgO4lDzut0Bt5ESMiS\njA4Zg2TAKlmwS3YydRnE6+KRtSaWf7QxuJWFKRMHdzs1DMDXWs/GBUvxAEg6Rt5xCbEnjJ6WsNti\ngX3gd+BR1BOsF+Jc0rsE+TgMlghmXPNdNq/eyof5+1DqSnGo0MMAzm83QqOmrIT6w9WAgWnTBgcF\nWeAqWctbH64DCZLzRpJmOx2Xs0xUUiZjkzLPaLNPC9lAbPZ0xowYTh81lnXe9QgEaemphHtrmL9N\nPqmAyqYwhg3KJX/rXvwuL/h8OF1uVBFx0qlEp01LBetWLcfb1EBtbS1NLRaGjh1HSkoWgwbnYDlB\n5ytUDyX796OEZTEs2YYsa2RlZLBlVzH1rUVs2llJYl5Gu3YLfELlaKbKiIhTH+ftMUKlqmQPB6ua\nO0WwqKqdEROGE97N9zdl8AWkbznAgToPVG0nf08e03NldhUUo5DEBRNzTzhO+1WQLXHMvPI7+ObN\no+BADbvXr8QYHcmsUSmd1m1LjSpJ+BuawCXArSNR7kM/vRW7bCdCjiBCCkcnBRXd38jukqNvEEef\n2K7d28cQ1O5dxtIt1QAYk8Zx24zcnt2D1DbS5Pmm5wzvnfR66bLFZTF+QDKfbNiH5m1BCcUq9Aih\n+TlUeoiqOj+YxzN+YDQAms/B5y/8iYImkCx6xg7PxHJa08oEmqq2JcKHgCV4fKbWo9ZhV68LIQJz\nhb/qlCsBeAIu+UQ5kUg5kkatETCQPiKPiZESYd0eYiCIq3TPQTQMWM0arU1HWLV+C+nJU4+NY55p\nwlPom5PCms9209jqA6LJGT6Owemx3Y4tehx1HDx4gMi0CbjranEJgWS1YbSZodVPWUE+NUNSSbYf\nu9GSgt4nAbSexc5aqArlu/NZU1jfyYLVtERy8roXZHN4EgMGZVO6ajeq8LN3XT59lFjKjtSROuZq\nsqLOhhwHMEb2Ycolk3G3fMz+6nq2LfmYuLCrsSgSsqbDJJnQS3oskoUwOYww7FRVWRGbVfCbyZaH\nMNBgbCs40pF2aV4j44kJ7yaYC9B8TSx+/VUqAfQWLv3e7YyI7eF1qBP0noTJ3y56vSAj67FbAm4u\nQ3xfwkK5QXqE6nNzoKKIOhWsMy8j0yKDUDi8cQG/W1eMDJiNWQxJz8FwOkkEhEpl2V72Fx9GO205\n1cCYyKTJw86Y1aOX9Aw1DGatdx0KKoboXPKiQJZUHM0t6Mw2bMe5oYWmUbVvK2t27abPxCsZoS9i\n7qJtNO/LZ8WWTK6+aFAP8iufBpKd7AFjiKKFdz5eS6u3gvn/W03CDy8jyX7i8cv6wwc4eNiL1Lye\n/xZuDN7YgOoP3K021h6huLSGxEEpAde0pCfcasSoA48maG5uRSPqrMRiSLKe+OwhDDE2IsvtSw+q\neJRwLCe595P1ZnKy+5G8vYjyZoWmyi188LGEZEjk5guyu71RORPEpQ1mythmmj5ZRk1tHRven0eu\nOQZr5AjGGscQrYvCiLFtaldZeC407QV0GGUzuhN6UwzIJsALWO3YjN10ZMJP+er3+cPSw4BMxJDZ\n3Hn5mJ4fe2wKcfbjY8JDnA/0CkEW2lErSzoubaBA87kob/KgoiNjVD/sofHjHuF1NVK+Yzcgc/m0\noRjRaDq8gzde/YToKCsNTi+6lAz6pMfjcbZitts4JV0WXjYvnsdvX3qXnhc37ILE61m74swJMkCc\nHEeOPocDygH8kgIIPM2HWTz/UxIuuJqL+iceW1loNFeXsGr1ZtTk8Uwf259wkczIogo2HKil4MuF\npKYmkJcdc1bmdapIpPafwCXVDSzL343LsYmPFkYxZ2YesXZTJ0tLaB6Kt+4idsBYpkwYiulomyQJ\n4T7M3H/Po87ZSMm+IobmJBBp1oMkExEXg8VmxOHwUVlQSNOgBKLM+i5d+YHUohqSLJ90nPN4JJ2e\nrCEXkHVKsV2i7bckSUSnZpGRlUbl9oNoQqBpEn2GDyM13NTFVqfOsWKZMjqvhFXYiZVjMGLErLcw\nLC+bsD0Sf/nnYpqaqtkkqhl4wxwSdUkdBFcIgS0qIuh5aKXZ4wf7Ca5kcxJTx0eybnkTtDRS5/R0\nfSY0hdritfz+qX+haBCZkMP9d8whOyHsJEel0FRTFzg+gwmzHAp9PR85/wVZqEu+vaAAACAASURB\nVNRXVVDT2ILBFk1SUixWkxFZCuSSrSrcwJLNZZjSpnD7NcN6wQGdH7Q2H6Jwdx3IWVw0KB5HbSmf\nvP0PjiTmMiOimpfLW+if1YdYqZxX/raFW39y16lNfZJMjB4/nQcNyV9NkKMH073z7sS0nxUk9O2m\n3yCTq8/Bj48y3yFavc0U7dpC2WGVAfZ2bj+h4Wk6zIrPP6dGjWfGxFFEm41IRDFi4oUcaljM4YZG\nVn2xhKRrZ5EZ310wVDt6OgIgC2RAb7YxdOxEGqsbWL+3kpo9q1kTY+Xi8SMINxvaiaag9XABuw4p\njLx8OH1Sk47bVSwXD93EB9sOcaj4AJW1w4lMiwZkojP7MyBzB7U7yqmv3MWu3bmMHZbWabhCCA2v\ns5H9B2tIzMwkLuwsjjcDqs+Hoij4/ApHK3/I5giGDezLjsJyHF4F2RbH4NxMjO0ydwlN4A/6ZYU4\nWk6yo5dcQkZSAb9A1vTYJTt22RKsxGXBohkwFxlJcfVjtDEHC2aMshGMkHlTDI6SWt78dCMev8DX\nRYyUBIRFphCnk6hRy9h10MmU2OgTHKmFCTdcjWXtm7gd+1i3rZhLh6Zh1LUXeJW6Q4W8/epLrKqq\nJTwmnuvvu4/LLx6G6WR3y8LF3q2BKVXJ2QnYzCFX4vnIea9fwlvPm/98meXrCpDtsYy/6vt8d/po\nYu16GiqL+M/b73DQkciPn3mMkcmheXU9xdt4mMpWIDIVtXo/7/z7NdbURPGDH89myY8+BdmECYmP\n33iLHdax3HeqN9SSnrThedwwPO9sNL9bNEXB42jgiKORQPE+jVZHNZVV1dh1OiQ5ICxRXjvlda1s\nLfqStTt34YscTEK4GUSgOpK3pY41ny5kV1kTF197BdkpR/MnyyRm9GN0vwIWb9iHu6qQ/LVxhE+b\nQIzd1LkIgdBQ/X5EsFCD5m/Fr6iBaUtSu7xVQctTOdq7q15avX7CjDosUSlMmHYJ1dXz2d/YQkH+\nGqIjY8gbmoFRr0NC4Pc1sWnxcvzhiaRnxgTyYXfIZKWn35QLiNx2iIamCnbuOUhOUkQgcYkpkrxJ\nkygv/Ziylgbyly7BoJ/MkL6pmI2BYhqK4sftbKBg81q211uZnZbe8cQLgUDD71fa6pV73H5UTSBL\npxJ5HjgPfo+b8gPF+BoVjlTVkJNkx6TXIUs64nMHMzByI+urm4hPSyMzLR45GHegaQru2iqqg+fb\n0+ygsd6BiLZj1BvQyzIGYcDo88IBDVECYSPSGCGPJtxgwigZ0AkJb/0RWve7adrbgnG0DUM7wTdG\nZ3Pfo0/SWn8X760q7/owJEjNHMrQzDCWFDvYvLUcbUz0CYcC0if8gBsu3sA7Swr54h9vMnXcAMbn\nxmHSyyg+N/VV+3nnpd/xztIiTJHZ3PGrJ7huah7RPZjXLTxVbCsHJCtjR/cnOuSyPi/RPfnkk0+e\n60Z0h/A28eXCT1ixdis1hw+xfdUyCg/V4m8u4Y0/PstmTx9++NQTXD8hG8PZinb9BlJTup43P1yN\n6ilnyadfcliN5tYHn2DGABsfvPo/SlpbqCrfz5Ho8bzy1O3EW877e7cgGhXb1/DJvHeY9+kXNHgC\nVZ0O793I558tZdmyFSxbtphPP/4f//rbv1j49hKK1lfg1jRyxoxi2MAM9LLAUXeIdZ8tIr+oFIwR\n9B8ymGi7FYNBB0Lg8bioK91P8eF6FE2jvqoGl08mMiGRCEt760PgaqiiqHAXhYX7afVpCG8tpsg4\n7DYrFqOhze2sep0crjzI1rX5VDV5wFtHqyGSaJsVq82KxR5D36wwdhQW0+pqobToCObYKCIjItEp\nDvas/5KFW0vRm2yk9Ekj0m7tMFdZ9TioqqmhZPteWtCoO3QEU3wS8TGRGGQZoz2OwUMzcFQeoLah\nlqKC7ZQ5BAbJR3NdNUU7N7Lws+U0CjuTL55CVnx4B5e5UL1UVVaye8cW9pTWoQHVzZAYZ8dstmDU\nyz2KJhCqn9qqcratXsgXm8sRmpvy2gYMJhNmexRhZj2SzkJchIdte6rpN24aw7NikCUJze+iYs8e\nVi1YxaEjzQgPiEYHjiqNVF0qA2LHMs6ag6lccGTJSv7xxjZEo6CxxkTfzHSslgRijRqle7fx1otP\ns7ywEpe7haiEDPqkJWBs5wIx2mPIzU2jeOVKGlMv4Jbpw4+7GZMwmfSUFBewZXcZlc4MbrtuNKYT\nTesy2OnXP526kh3sK9rN4o/WEZWdjuSsZ+fqBTx9589YdshJ1MApPPnHF7h24mBsPUyE5CpewpNv\nLEUX04/rbrqFkTmxpzzcEOLsI4njw1vPO1QO71jJX978mMZmV6AcnCShN1lIGDqFW6+ZTlZCF1mO\nQnRL85EC/vrL/2O/H2xhA/j+Qz9gdFYUaI2888iv+bLWSXzOcL57280MSY3uRefXy+fPPcyiqlPc\nTLYxYvZ0+k+IxKnWsHXLAjYVHwnUEkZDGKMYOWYcOWmRoPk5uGcLm3eVdnCDCiB8wIXMHNZ+KozG\ngfxP2FLm6bRu9og8RuSmt2Xzch3Zy+drdqIo7SLTAXtkFpOmjcUe7HvLC9eSv7O87f36XziLdO0Q\n6zfvoimYRlEyJzBh4liSY21t+2yp2MmiNYVt2wX+SoydeRUZEUfHNgU+t4PCTRspKqui1esLrKfT\nYTAYScgezOhhA4mydnZ5ap5qPvtoOZ629w6+oyWa4WPz6JvUs++p5mtm04aNlFbWt1s/4EmIGTGN\nqf1ikZDQaa1sWbCOrMmzyIiwYZAMqE21rJu7ghqXgFYBLsBH24DytHufYkZaK/9+420K9lV22nfq\n1Pu4a7TCm/95jwOVze2WJHLvcw/T7/ioUdXNhk/m8m5tAv935/QuRM7P9rn/4pFnX+KgI5P/rH2f\ncUndFXYQNBzaw9y/v8FnC+eyt8lCcmoGKckx2CMiyc2bwU2zJ5McbWv3HgJNE0hS19P3hOZl5Z/v\n584/r2DwlFt4/veP0D/2dAeCQpxNeoEgB1H8tLhaURQFgYTRGobdEhoHOW2EhrulGadXEBETibFd\nkIfmbqbOqWKPCMdq7C2W8ZlBIHBqThq1Jpq1ZhzCgUNrwSM8qKhBef42zK3T8Hk8tLYGbyT0esxm\nK+azeD1IJ3joJT0mTJik9j9GTJIJc9vrZsySCYP09fcJms+Dyyew28xdJnnxNR/iH7/7OX99N5/Z\nv3iDX942EdsJs6wJFK+TfZsW88Ivn6I2+TJ+8P05DO+fSnRsDBHW44PCAuuXl9WRkJ2JtZPBLHBV\nbuWn37uXDU1mHnjidW66vD/G3nOH/a2i9/S2egNhERHnuhXfHCQZS3hUlwFTsiWC+G/pDbSERJgc\nhl2yk6xLwid8eIQXl3DRJJpoCoq0IvyoQkNF/YYKtIzRbMVo/kpZxDsRiF2WO/3VSYF5vBbJglky\nBwKrMGOWzRgwopd06NCjl3To0aNDF5w7fe6VRTaaOUHSNACMEal8974fU7p8H5s+/Q9bLxrIhJyY\nzta0EPi9zWz78g1eevUdtmgX8uRt1zKsfwphNgtGHWiaaJtpIoSGx9nAjmVv8c4ihZ+//EinnO+q\n30n+R/PZ0aBx6b2Pc/WluSExPo/pPRZyiBDniKNfERF8qKg4hIMGrZFGtYFGrRkFBUUoaGgoKIgz\nUqOq99FeaHXoAn8lOTCFCB02yYJFsmKVrViloz8WTJIJORjudFRk2/5+E8Y6hcB7eD13znmUiItu\n5NFHbiM1qmOEuuZtYd2H/+a5519iX4sKkh6jUYdki2LomIv4zswpDMpMJyLMitEg43HVsfqD//Hh\np1u5+U9/ZU5ebocof6EpHNi0iKeefxFt7L3849FrsHST/zzEuSckyCFCfEU0oeESrThFCw7NiVM4\ncQs3fuHDHxRqRfhRgtb0UbFuL9rnWsCPtzS7+l+HLpiPWYcuaNXK6NATiHzWo8MoGTERcB+bg25k\nU/C5QTKcFxbtuUIIQdnmhfz+6f+QMHk6N9x0LX2TjqXIrN70Nvc98BbG9ATMRhm/20ltVRXVNfV4\nVQ1V0xBCT0RkPElxNurKy4kdNJFrb72T62aOwtI+M4jionDdQt5+dy61KTN48oGbSDnLU9RCfHVC\nghwixBlGIFCFikd48OHDK3z4hQ8vPvzC32ZNK0Ih+F/b/0cfmtA6vOOx36dOJ3GVguKKHBTWgAtY\nj+7Yc0lH2yP43CAZ0Accx+il4A969BgwBJ/LUsgC6xbVR1nBWj6eNx9t1N38ZPagtkW1hUtZedDK\nqGGZ2M0y3pZGyoqLKSrcw/7Sg5SVV+Bo9WA0R5KcnkX//rmMv3gGg7OTO2eKaznAi796AeOoy5h9\n2VRSY2zf4luh3kNIkEOE+BrRhEaHh9CCdvOx/wNWdFt8d+B/IdoFlIlAhqrgOgLRNhorEUx4ESxu\nEHADByoNSUhIgmPPj7qXpYCTudPz9r/Pk/HabwYarsYaqj1WspJOXkRC8XlpbmqgqdmB1+dHZ7AQ\nFhlNbExUh8QhHfA7OVjaREJ6Mtazktc1xNmgW0FWFIXHH3+cyspK/H4/99xzD0lJSdx9991kBGug\n3njjjcycOZP333+f9957D4PBwD333MPkyZO/pkMIEeKbRwcX9hm+Zf5GjMmGCPENpFtBnjdvHkVF\nRfz85z+nubmZK6+8kvvvvx+n08n3v//9tvXq6uq47bbbmD9/Ph6PhxtvvJF58+ZhMISmJYUIESJE\niBA9odtpTzNnzmTGjBkAaJqGXq9n9+7dlJSUsGTJEjIyMvj5z3/Ozp07GTVqFHq9HrvdTkZGBkVF\nRQwePPhrOYgQIUKECBGit9OtIFssgcmoTqeTBx54gJ/85Cf4fD7mzJnDwIEDee2113j55ZcZMGAA\nYWHHqo1YrVZaWlrObstDhAgRIkSIbxAnHe2vqqrie9/7HldddRWzZs1i6tSpDBw4EICpU6eyd+9e\nwsLCcDqdbdu4XC7Cw08WrBAiRIgQIUKEOEq3FnJdXR133HEHTzzxBHl5gao9d9xxB7/61a8YMmQI\n+fn5DBo0iCFDhvDiiy/i8/nwer2UlJSQm5t71huvqSp+vxe3y0WL04VfSETHJhF5opqjIU6MEGia\niqe1hdojR2hscSNkPWarndi4WMJtZrzNdRx2Qm56Ulv+5d6IEBo+TysNddXU1TvwaxIGs5WomGhi\nIsKQhZ/DlYcJT8wg5jy8ljTVj9vlpLGhEWNMH+LDvlrCPaH6qK+pwSNMREdHBKo79eLPN0SI3kq3\nQV3PPvssixYtIisrCyEEkiTx4IMP8sILL2AwGIiLi+Ppp5/GZrMxd+5c3nvvPYQQ3HvvvUydOvWs\nNVpoKp5WJxUHClm3fjOHqmpwOVuxpuUye/YNDM+MPGv7/qaiKR7Kdm9g4edL2Ln7IA63H1lvwhoW\nQVxsFGm5/fFV7GC/aQQvPDAHaw+rzJx3CJXmqmK+WPgJazfvpbbRiZAMmGw2YqKjSc4ZQLLZwdpt\nFVx3/yNMzD1ZYQ2BqmqB6UI9FDERLLOIJAXLEvZc/BSPk6Ita1i1fCPVmoWpt97LxAx7j7fvCs3b\nzPov57NkyyFMxmxm3TiVvqmxGPW99DMOEaKX0uvmIWuKj/rD+1j039eZv7qIJmFnzKSpTLtgGInJ\nifRJTSOii0o0IbqnunAZv33oaZaW15M46kruvXkayWF6WmpL+exfr7HuUAtej4fxdz7Fiz+6BrO+\nd85t9Dn285fbHmLugYPISaP53vevY3ifKLyuetYv+IAFawtw+7xE9Z/I7178I8O6rcwDaC4Kdx7A\nFp9OalIEJ6sTD+D3uikr2osUn0ZGQgy6Hgqy6nOxYf6feeGfK0nuN4U5t1zOiKH9iDR/RQtZU2iq\nKWfP9nW88sQ/8Q0Zyp0/+glThqajD1nKIUJ8fYhehKr4ROn2L8UtV00V/bMyxaSZc8S8/H2i1ecX\nmqad6+b1Ynzi7fsni9z0DDH08kdEUa1DqJomhKYJTVWEp/WQ+O3VI0V2xmjxl3n5wt9rz7Ui8v98\nt+ibniH6j7lM/OPzAuFVVCGEJjRNFT5PrfjwkatFdnqO+O69vxdHPD04TtcOMbv/CHH/w/8SDf6e\nnZeGsl3ih3kDxAMvfyBafWrPmq75xf5lfxejBvYVF828SWyvaj3j17ymKqJ+x/tiZL8sMfvuJ0TR\nkZYz+v4hQoTont5j5giNw4Vref6pp1i3tQRr1ih+9tuXuSovF4tBH0p28FVQKlj2WSkaMO7CYaSE\n2wKVaCQJSdZhsqRxzcMPERvfh5TE+N5b2FxtYOWCfahASp8Ehg3KwqALZLKSJBmDKZYrH/s5GTYT\nEZlDiehJWRydDpu7Fbe3FbWHviZJ1sDoRhNKj5uuuSt581+f0ezyEZ47h34JljN+zUuyjsiBlzAj\nTWP34sWs3FVyRt8/RIgQ3dN7BNlTwZsvvMCSrRVAOt977DdcPjT+XLfqm4HXSW3w6f6CClp8nYUi\nIiqXMenxRMdF9t4EioqX2mCO6IYaBxUV9Z2SYMlRfZlmNRA/KJNTCeeSgj9nC29DDeXOJgSgOprx\nnqWRJqE001gPUENpbcNZ2UeIECG6plcIslBcLPnnE8xdvQd0RiZcfyM35mXi8/nw+fyoqkbvGgk/\nzzCEkWYJjEOWb5jP6x+tw+H2d1jFFpPG5TdcRmacvfcKss5MWrDAu6OyiPnz51Nac/x8eSuTfnAr\nFw9K4nxyBAQq/QQucnfVCqocaoflQlNpaahib0EBe/aVUNfkRuv0nVCp3FNAQcFuKqrru7TovUd2\nszGkwyFCnBN6hSC7K9bz5L834QSI7seFF/SlYvcWli9bxtKlK9iycx91jtZz3czei6EPl1w/LGAR\neo7w36fu4c+fbsLhOWYpW2ISueSKy0gN78UBc7oYLrpudKCIu+okf+5feOafH1Hb4m23kp5xd/yQ\n8WnnV3Uco9WK3mQCwOOvoabF126pwNtwgDd+cS833Xgd113xXX7z4kLqW5UOHgDhr+SFa6/nxutv\n5R/vf4m7s2LjrSmhKfg8NPUpRIivl68Wnvl1IDRKtqzF5Qp0mlJ9GfP+8gQfGiy4m+uorm3Cr4Qz\n5ebvc88tcxiWmxiKDD1VJJmLb3+cafkP8sX+cvx+L+8/9wBm7XfcNms8MXZToGSf7vSnwbiaq9hT\nWIIi609T6ASaLoz+A3KIsplOrxGSxPA5P+HOBQW8vqEQt+Jn1WtP8BiCX9xxJRmxYciyhKw//246\ndJZwkuyBiG+/X8HhaEUQjAAXGntXLSK/RmLGzKEsen8DC5Yv5Io5E5kyKCHgSxeC+h2rWdjaii4i\nkfg+Q7F08T2pKt4XeKKPJiM2NH0wRIivk14gyK3s23oIv08FSUfmoCHMvPZKRvRLw1N7kNWLFrB4\nWT7L336RqiN1PPvUIwxNtp9X7sbeQETKYO761U9ofP5lNhSW4G6q439/eQ5ZPMoPrpxMhOWriVT1\ngY384Yk/06wznrYgq7Zh/Oa3DzM2N+70G2KI5/Y/PkPdU7/j4yUbcfoV1vzrWf6otvLj228gNyni\nvAxa09niyEsJ50MJDCYrkfb2xeZV3N4ILvnuw3xvisrW9zfQ4vLgaxcLIFQnaz9eAQKi46MZMCiF\nru5bI5NTMcrgixxIVmIoRiNEiK+T81+QVS+HG7yoGhjCY5j2vQe484pRmA0yQoxmzJAc3M31fLR2\nD8WrF7Pgk6n0u3sS5vOvTz2vkXRGBoybweO/kPjV4y+wo7SK5soDvP3nZzGEJXLPZUM6F0E/BSIT\ncpj+nVk0a/LpCbIQYE4nIcJy+o0IYk0YzA8f/ilC/IH5X27A7fex/H9/w2i08ti9N5AQ9vVk5zqV\n+sKaouLRNAQyaYMvo39iu/nR0v+zd97hVVRpA//N3F7SewIhlU4ooXdQKQIiCGJvq65tdW0ru2Lb\nXde6WFcE2woqCgoi0qRJL6H3BAgJISE9N7m5/c7M90dCaIGE4rdE5vc893mSO/eeOTP3zHnPW877\naml3zfW01JuxZU2nANCYdOh1JywaCtXH9/Pz1kwUICysPalx9ccCRHQeRu/Yb1jl9uLx+er5hIqK\nym/FlS+QBQWNUOPrsgZa6NqtLUZdjWQQBA1BLbpw320DWLwlC6fHTn5eJk5/P4yN2bKichqizkSr\nnqP49FMzd935V/YfL8demMtHT79Kl65f0jf6Ik3FQEhsG+56pOWllfa9RLP5yWZEwhM7MfHliVTb\nnmfBxj14qytZMG06Hfv05Z4+SRfU3sVek17UNCo0W/K5Obp7Ld/vKCS8WSf+/MzthJ22OhIJjIwE\nJNau+BknkJgSTUxETQYvRfaya80yMo8eAyCs20CijPWvrrSBHfjjcw9z5KWp/PTLKjonjiU8wNyk\nU6WqqDQVmkRQ14lZS6CeQBNBJDGtG1qdDvBQ5SzA6ZHOakHlTBQcpfkczM7DJ8l17wqihqCUIXz4\nwYu0bx6CAPg9m/jk6y2N3mdbPwKiRoPmUl7ixWnXsuQhZ98uyqpPanyCIGKOTuON917l2rRmiIDs\nP8zU6avwXtB1ivhFBVnxI8sNfxpAUSQkScCgExvUkv1VuSz4YQYvv/0p3qj+vP/1f+kVZ67XJaP4\nilm++BCgp2V8CyKDaz7nLDzCkiVrKfAogEiffm3QnsMsLwgaug67kzdeeAT3in/z9BvTWLFhG1Xe\nRl6ciorKRdMENGQ9wcE6RBEkSaG62nMymKUWrTWEAEGkCgGNqCbGbxSKzJFNy1mYo+eR+8ejO0Px\njO0wmPsmbOAf78+izKtQuOUADqUPgRd5a73uSgryS5Aveg2ogGgkOjYKi/HC/Nk+VxFzP5pKn+fe\nJMx6+nd1UWk8//Jj5N79Nw7YZUoyDmCTFSIbkwMTQBNCUpTEYWcJVS4/EYaG++Z2lFBQYSFOb2kw\n1kF2FbJ1y1aK7G569W9HuEVAUqg3Rae7KJOV+TKCOZLY5I4EGARQ/OxZu4S1G/ZjsIDHkUavVufJ\nz60oyIpAaGJrEpKi+HnHNvYmR5PWpTNq/TYVld+WK18ga0y0ahWKTidQXe1i9748hrUOOW1CEo1m\nIgSBfPSYTWF1Jm2Vc6MofoqKC8nKD8Ffz/YXjcFCh87daB7xM2X5DjBoLynzRf7BjbzywhTsl9KI\nNY1Jf3+cLsnhF/Q1vz2P7UdsdHT7UDj7MsJbDqZ3uwgObCwC/QVepzaQ+AQDawuPcrSgnMSgqHqD\npU4icXTnFg55AhkeFIymgaGqj+zCUxNj2bFqLp989TnPbCvkH6/dR8sw0xndVDi+K4MiWcYaFkTL\ntCR0KDiKM5j58Q8UKhrkaglTn5tJsmqQZQVBPFs/V1A4tGEhk9/4jIrUQbzz5s20T4wlwKQ+Uyoq\nvzVN4CnT0mHozcSGWZDsVRzZnEHFGeYz1/EcciQ/ojGA6BZtsOhUDbkhFJ+b/LJctmVlUerw1vMB\nBbfHiddfY+YNiAy/pEA5g6DFXO3AUV198S9ZpgFpVy/2ozvYVlZO7tHjSPUsPmS/G7vLBYAlKhzL\nBUVZm+gxdjRV+7by8+JfKXedJx2mIlFVspuv3/kSITGVxKR4GvSICzqCwpvR78a7GJUSxK5l7/L8\nlMVU+88wISsudq/ZgSQphAWF0z4xDHdVPl+99ADZxra0Tw3B79cy+tY+SLZi8gtL60kcArKngplT\n3mTFsQDuuftWerdPIshibAoThYpKk+fK15AR0EV34aW7+/Lnt5exa+dKNu2+lus6NUenEZC91Wz8\nZSVur0xsuy4MH9EVgyqPG8TvcVOel0vVlr18OKMvE++9jvAAAxpRRJFlXLY8VixbTnaRD60ukQl3\n97igVJJnEtfhWqYs/+1Kcp4bhYLd23EXHmDBd1/RJelJ2jYPQaMRQZGRvA72rJzB0p12NJpIJtzX\nH8sFjR+BVgNu49rUdSz44jPCzQrD+nenRWwkJqMWURBQJD+OqnKyD+zm5y9fY7ndyIjx/UhvGdnI\nfNQComgkKEiPgJ/jv37GnnuG0bPZSS1Z8VawI9eBApisfdFUZDLrq3/z7fHOPPP0EL756xLQteKa\nNgrfTX2TsphBPH7nCExn2L7tB+bx1cZSiGmDxWS4opKjqKj83mkCAhlAS4+7X+GxfCNfzF3H9I8+\nQbx/PO2bh5C3fSWfzd6IIaI7dzz4BJ3izP/rzjYJPO4qCnILMVutrPxkMgbHYYZedy3JsUG4yvNY\n/u23zF28Dk1AIiMn/JXh7S7MTHzFoHjYl7EHncnKoXUreO/fEqPGjCEtJRpc5WxbupjvvvoElyWS\nHn3u5JY+bS74FJawltz74tPw8TR+nPIqG1f2oF3LeILMAVisOhxVNmxlhezM2EGx3cwNd97K7RPG\nE3qOSOd6L8NrZ3+RE0kGr8dPuc0JzU5uAVM8Lir8XhSguGQ9H72+hgJfMM/962USK5dTUAwYPSyc\n8g4FzjievXsAxnoc0UUHttX8YSuk0FZ9wfdCRUXl4mkiAhkwRjLu6b8Q2XoOn8/6hc8/PEZkkAlb\n4TG0Kb34x933MahnKldejqUrE4+zjApjG+57ZgQB5QdZvmweU/ftJMSqx1NdTm5WHuaU3jw24V7G\nDO+L9X/d4YvFX8GuI1oG3/c0fUPtrFr0M19OySMyxIzsdXDsYA5OQyLj7vwjt95wHS1CL3yfs6jR\n06HnMCbGJLJ96zbWrVnL9vWrqXR50etEvJJMcFwKvcbcTc/0rnTq3IaIQGPDDZ96GdUlHCiuQga0\nWhHLmdnKjIEkR8UQEVYM9hyqNEN47NHb6dc2jJytFqIiI3ELLo77knj8qdvpEBNQr/YbEBFb84cr\nh6z8YiDlgu+HiorKxSEoShMqy6AoyLIfZ3UlBfnFeGU/OlMw0VGRBFgMV2SGpSsVn9tFYWEJoXFx\nGJBwO+0U5uVSUGLD6fYSGBlPcnILwgJMNduNmuqtVWSO7tmHObU1IVoFA33DFAAAIABJREFUr9dF\n2fFj5B0rwu72obOGkdQyhehgK3qt5hKvU0GWJHw+H36/hFz3aNVs+dLpdGi1mosap86CLTzyp2dZ\nuzWH2JZdeeerr0iPPEUoKwreyiL2ZuZiCo0hrlk0FqMOURCQPNUcO5JLtT6QxNhoTEbdOU3RlXv/\nS68Rr+AFJrz2Ba/eOvCC+6qionJxNB0NGUAQEDU6rEHhtAxqoibUKwSd0UTzhPja/zRYg8JICQr7\n/elDgkh8h/Z1/5q0Opolt6VZctvf4mSIGi0GjZaLT6FSP36XG9lTE2BnDe9DQugZHn1BQB8cTece\n0Wd9V2Ow0qJ1u0adxxrfg7QA2GJHrTGuovL/jBo8qaLSBLBExBAZEYYAaGPjMf9Ge+0FYwSJUSBq\ng4gMCvhNzqGiolI/qkBWUWkCaCxxjL6uB6FWEceRXeTZPPVuW7okFD+VedvIKtIS22UQfdu0uMwn\nUFFROR+qQFZRaQpojPQe/0eeHNMa5/HVfPTlYvJKbHily5DSUpHxuqvJP7yd9//yJPnR6dz+wP20\njw+99LZVVFQaTdMK6lJRuepxs/y7aXw5ZwuRyen84ek/0ibswiK2z8LvZPe6xXz86Y849GbG/fE5\nhnVPbGIBJioqTR9VIKuoNDEU2U/Z8SNkbM6m3TWDiQ+8xM1+kptDO3dT7DPQqn1bwiyqKFZR+V+g\nCmQVFRUVFZUrANWHrKKioqKicgWgCmQVFRUVFZUrANVZpKKioqLSeBQZr9d7+rY7QYPBcO4McA00\niN/jxX+K91RRBAxGw8UUd2vSqAL5qkfB5/XgdnuQZAVBo8VoMGLQq0MDFCTJj8/PJUw2KlcTfl/N\ns+Tz+zmRuU2v16PTadGIIh6XE0FvwqC98oyTiizj9/tRBBGdVnPuTG1yFavn/0JZXQlQCQypjBnT\n/SIrwvnJXPkTO2xSnUDy+awMv2UkYVdZcYImMuvK2IuLsPnk89rYBQQCwiIIMF5lv+JFosh+bEV5\n7N6WwaaM3ZQ6PRiDo+iY3pse6e2JDg9ouF7v7xBFlnA7Hdgryyk4dpAjZVGMuD7tkspPqvy+kXwu\nyouLyNq7na1bd3A4vwSdwYI1JILE5JYkJcUTE2pmx9rVNOt7Ez1Twy7TmRVcthKKnFriY0Mv2Aep\nyH6qKsqwVVfjsts5np+PJqolPTukoK99+GW/l2q7A9FgxmI2IPhtzHznHTZV2AkMjSDAqAVxLNff\n2B39Ra1aJXIXfcX0vU5kr5PS8gq8vhTSbxpB2FVW275JCGTJfZyPnnuMhXn2806KRnM497w4mZu6\nxv6/9a2poigyZYd28M6zz/PDziwEo4V2HdtTvHwxX0/7kNQRjzH574/QOsx01WmGjqJ9fPPtPNb8\nspAtmccJ7vgyQ4anXeRkc+VRs7FCaLoFQ64gFNlPZXEeGeuW8s3HU1if5ycmIYWkuHAizVbsOQf4\nac3PHMw+htOnYGnegUntRtIDLv25UhT87nIWTH2Jf2W0YNWsiQRcqET2VpGxeDazF37P8nW5gJlb\n/vYaXdsno0cAxcuhDUv4dt6vmFO6c+ddNxGlhUCvB1lvZcxTrzGhexxgxnzRF2Tk+jf+S/sSOxX7\nl/PCP95hX54O8Src/3PlC2RFpmj7SmZnZOJRtOi04lkD2e924PD4CWlmwGpV6yE3BtljZ9WcGSza\nmYUfiIzswrN/e4gZr/yNgjI7R9bNZdHm0bQannLVCWS/twq7vZJiWzU+GTBrfz/Rj4qEs7IaXUAg\n+nrqIatcALKf4wcymPX5VL5ZvAGHbGDAuD8w7saR9OmYgEWnRfK5ObJjJdPff4tv1hwhPCSC5PjQ\ny/JMKcjk7VzDDwszqLI5KPQoBJgurGXBGESP4TcTGWRn+bppiKEptElujeHE2JCqWTlrDt/O/xVz\nzBa6DBtBVK2+I2p0BIfH0bxZ80u/HmMI8c1DMJVFYtRdvRbOK14gyz4by+evQmuM5baHH6JDi1BO\nnUdEwceO7z9i6uJdhEX2JS0x8H/X2SaE217M9s0rqar9X6cNJ0DrxudxAiDoDGjFy7CKb4IEt+jF\now+FcPzIfg4f3/u/7s5lRMZRspPP35vP4Kcm0i7sctekuopQJCqzN/HBxFdYtPcgHkMQox97iUcn\nDKFZmKXuudHojKR0G8KjT1Qwf+MkAgPbEBtyeZwfksvG0h+/ZXduGbCNfYUeUhMvNGubhoDQMHyF\nBQDEJDcjOSWGOrVH0BEZEkZEeBimiAishlOEpaJw+ROqX900KJBlWWbSpEkcOXIEURR55ZVX0Ov1\nTJw4EVEUSU1N5aWXXgJg1qxZfPfdd+h0Oh566CEGDhx4yR10Hc9mR0EFD77+H+4YkILujGAIxVvM\n3plGFBna3XQ9UYbfjS7zm+L3Oqgostf9rygSltjWDOzdk2OevYR0HceI7pdh5dskEdHoDWiNvy+v\nsddRyNcv38uPuan08F6GHNhNBUXG63ZSVVVFtcuF5D/9sMZoISoyAqNe0+jx7rFl8cbNjzKnvBJJ\nZ2bQnX/hxftvwKyvL+pCQ2SXodwR/wJb23Yi5LL4PhSKds7lszkZuAFwkJlnQ0mMvuBnVpFKWTxz\nO6AnIa4VCVHWk+4M0cqIp54lceR4dOHxtIrSg/98ralcCg0K5BUrViAIAjNnzmTz5s1MnjwZRVF4\n6qmn6Nq1Ky+99BLLli2jU6dOzJgxg7lz5+J2u7n11lvp06cPuks0P2isUYx+4AW6d0tGrztjsCsK\nlccOsLkwD78Yw8hBrX8/psXfDAWfy015SQ5H8k95V5Zwy4Hc+Mzb3DJRh6ARUBQZv9dJRUkxhaUV\n+GQQRR1BYZFERYZg1GkRa59cr7OKymoPSt3KGkzmAExaieKCPIptTvTmIJo1jyPApG+g1q6CooDk\n9+F2ufAhoEFBqzdh0OvQnLEXQpElvB4XdrsDr09GEEVMFisWsxGtRjzrXIos4/N6cDpdKKKALIHJ\nYsag1yEKYu1kdPrKX1EkvB4PTpcbWRHQ6Y2YTAY0otigL1aWfbicHk7fJaLFaDCgEQUUWcLjcuGv\n/YCoM2DS62raVWR8Ph8elxsJkBEwmUzotVrE2vugKAooNRHhLnsVYkAoRnxUVzvwSQLWoAAURylL\nvnqTtxZWEdNGxuvx4PGIaHX62vupIMsyfp8Xt8uDIggIohaj0XBKxK2C3+tFOkMpEkUNogCSJNVd\noyBqzh+pe8pvIckSks+HV9JgtRpOESgKfo8Lp0fGaDaj0zR8r09vXMHjtpN7YA+b169lzbrVbMvM\norrq9I8FpQzgrbf/Sd+2UY0wCSnIvmqWfv4BP1RUIqEhpusNPHLHCEz1CuMaBNFCs9hWOHqmor9k\n572CpzybD//5EVJwJNbKEqo9EpszspH6RaM9b/MKiqwgyTKKIoMg4jm2l1+qHYhGM807dCPUcMq4\nArQB4bTvEoqsCGjO03dFUVBkPy6XG78MBqMJg057xm+m4HE6cfv8iBotFovlqtvadD4aFMjXXnst\ngwcPBqCgoICgoCDWr19P165dAejfvz/r1q1DFEXS09PRarVYrVYSEhLIzMykffv252u+QYxhzenf\np3m9xxTFT/auvRTkFhOc/iTp0aoJrmH87P5qOnP3bqLwlHfttixmTPmQkIR0Hhg/iABRxF56jDWL\nF7Jq/SayCmwYtEZkyUNAdAKd0wcw8oaBxEcEohEFDq/9lm9WZOPy+GsmZa2Vbv2uI9S2m/nLl5OZ\nb8MSHEv/Wx7kT2N7n3fSUBSwl+Wz+ddV7M46ilsrIjucWGJb0n/QQNonx9b5PxXJS37Wdlb8soLs\nMhd+vwyKhMYQRnrf6xjcvz3WUyZK2eehKO8Aq5av4mixA0En4KyqJiA6kV79r6Fzm3iMujOsMIKX\n40d2s3H5KrJyivArYAxuRp+hw+nbIaFBX2x1RQ6zp/9EidNds7VMFAlN7cz1QwbTPNiAu6qUFbNn\nsqfEiV/REp86iJvGdcMk+6guPcqa5cvZm1uOgoTd5SMqri2Dhw4gtXkEWlHBWWWjorSIfVvXs2l7\nJgPvfwZ95q8sXbedKp+G1O7DCLct599fLEMB7KXF/Pz1F+ywaul1y4OkR+mRfG4KDu1h6YLVlHq9\nSJIPn6Ihvn0frh3YlZhgCxrRScb3M9lR7sTp8gIgCEaS23akQxysWb2FUreMVm8kvFUXRg7oRpDp\nfFOMQlleFrv37GV/1mHKxE48+/gQjMLJ43uWTGPeVpn+o8bQr0sC2kYLMxlPZT6Lv/uM735ay4Gj\nVbTsks71o3sRYNRTs7yoRYgmzNBI752iUHpwPTOXbEVSQBsQwahR19MmNrABWa6l97N/p39i7CVb\nnWS/nTWffsT8Y1rueuguds+dxoYsGzkZB3AovQk6xwkURcHvdVF6/BhZWdkU2ysxBURhLFiJx1GN\nyRxFl64p6ARAkagqLcXucmIrK+F4fi6F1RGMHjeQczkFFcnDoS0rWLIyg1IPxDTvx9hb+hNh0dZd\nsyK72Tx3FisOHCG0WTvu/MPNBJ9/BXFV0ahRKIoiEydOZNmyZbz33nusW7eu7pjFYqG6uhqHw0FA\nwMmC5mazGbvdXl9zlw3JY2fXnp3kV4mMvWcwgap63AhEFKmUHet24DzlXa+nmKwD+zBWBeAa0x+d\ns4jZn7/HF98sobDSQ9fxT/HQqLYcXjmNf8+Yy6ZV6zhckMOfHr6PpAgrwXEpKBXLWbhkM14A0cDm\nzRvRO4s5VlKBBMAhDnmSuOfGXoScZ1nstefx/Uev88PKUtJ6d6FFpMyyb+eR6RFYumgNj/79VYam\nhaFBoerQKp597i0Kyv1cf89j9EwNx3Z4NW++9TlLl2cS9Mk/GNA6GgDZ7+ZwxkJenvw5HjGIwSPH\nkBIusGb6u3wy+0eWLNrBc28/z+A20afeLhxZ3/HuGz9zILMEt9eLs6qCSo+GFftLmPb206SGW897\nx/WGQCICvMz5biaZhQ7MoVH84e9DCNDXDFitwURYiIY1X83mqNKLN6+NQIufsiPbeO+fk9lT4aZt\n94GE+fL4deFSyqrns3r3Pp584iF6JsLcj15lxe7jHM7cR36ZC19UPLkLfiAj+xheSaLFziqGdbeD\nVCNENYoZZ0URucV+khx+ZL/CwY3z+XDabDIPBzB8Qkeqdm1h+dqNOAOXs33LOB594h5So7SENWtB\n9Z7ZTP9+BS6vhN7Yn39/eQ3WwGqyfpjNrKPVdLl2PHf1DEbbYNCYn4Mbl/L5l3PZmZWLUzeA2/94\nHUl1Elkhc9UPzPihhMrQeLqltcDaSHOv31PO/Hde5P0f12JK7c0jLz1Dv/QOxESEYjxLkxXQas/U\n5OpH8TvZvHodWbmlAEQ0T6Rvv84ng6DOiZbmaV0b1ffzd0CiaN86PvtxLcnXPcTtQzsxee13kGVD\nOrKVUs89BJnqnwh9zgo2LJ7D7HnLKXEE0PW6ztjWrGDnti34nX5M4R1JS64NOJNtLHjjTTbaKyjI\nz6e0tAxL2mOMuhk4h7fDWX6MuZ+9w8rDNo7llEHIDjQJCfxhcFLdvfVX5vHj/Nn8tHE/7a5/gbtU\nWXwajRZhr7/+OkuWLGHSpEl4PJ669x0OB4GBgVitVqqrq896/7fEWVHM/q0b8Zu6MLZH/G96rt8P\nGjrd9zTvTp3EqXaHsKje/P2Dj/jopfuIMGvZvewzJn86j8JKBxja8OSzf2BA//7ccf+DBBqMeFzF\nLPrqM75avBGfDNGte9K7QxssJxqUPRQXHSMqvQsdYkLqziN7lXM9zwAokouF7z3KB3P30f/Ox3nu\n+Se57+EneeXtZ0g2ucjcsZRJ9/6HfK8Eipu1/51Kxq6D6CJiuW7k9fTv35/rb3mMWwfHUpy3kgVb\nDtc2LFOydwXPTHqLnUdd3Pu3t7j/tjFcO+xGHn32YbQeB4f3LuKzxTtPN1YHgqcsn3LaMOn9L5i3\n8Hueu2sABr+LvNVfszqzqME7brREMuL2exnZsws6ARS0BFsjCDLXJBvRGQOIi4/HJBiY8OzjXNe9\nBULlEaa89hbfbznCDU+9zaSnH+XRif9kysu3YvCVs23R13w861fckkCLtKHEhRsprnAB8NOsRUQN\nvoHuPToSHR1DSkpP7pn4CkNbtgQgJqEvT7/8Iq+89neubWGmNHcH/3lvMhlFSbw7930effhhnp/8\nKvcN64ij5AiLvpvJnB8zcMt6Uvtdy/0PPcKo3oloBFDYRZUYhE7xkavIxKWO49U3n2VYt9bn8Kee\nipb0UXfz8N1jidQI4DrE0cpTHZQirfpdgwEPPtlNo8OHFIns1T8wec56lNjOPPfPN7l7zBBaJsYR\naDWh1+vPeOnqzP8N4a0uY+++HVR4akZxs07jSIuznKX1Sn4vLrcbdz0vj9eHfFE1fRT8zmIWzPyB\ng64YJj57B1HhoQSERiIAkmszecXuer/pd1ey6vv3efylD9gvJ/LsG3/nsXvv5eYhvaCynEoZgvpc\nT3NLrUgQgxk9aSJ3j0rHU5jFscIy2g7qQdB5JEZ1RQE2OvPP/7xHF6sZd3UBuQeLTrqcFZnCA/vI\nyS9AAdIG9yVAtVefRoMCed68eUybNg0Ag8GAKIq0b9+ezZs3A7B69WrS09Pp0KEDW7duxev1Yrfb\nyc7OJjU19TftfEnuVjbtqKLFkL60tKrm6sai0RsxGw2n+zRFHSaTFavFhOLI4fMPvsDjq9FraXkN\nHSL1CAgYolLoG1gz0Uo+OzO++ZmCai+CAOJpUdkiKT1H89LL7zJtyvP06dmNzundufn2/gSf8yFU\nKNv3E89+toeI5gkMHtQKX3UlNlsVwc1b0rZjc0CmuvIrlu0uBcVLld2ATqfHaAjEoBEBGUXQYDDq\nAYl9mTWGeb+rhHnTvyc7u4j2D7zO8E6x6LUaRFFDUGpPRrVNJiIimqCAM7RdGwS2GMWLr73IgI7J\nhIY0Y8hdD9DZDMg+iuyuhm+4IKAxRTNq7ACCrHpc5RWs/3kF5Z6a+yv7HezatIUybzfG901AVPzs\nXrOMNdt3Yez/KCPbBmOvslFZVU1Mz7F0swCSn3VzlpPnC6XfiOHcPLg7zWu73uGaB5n03FNM/egj\npnzyKf9642YiDKf67SW0OhNmsxmdKLN52Xcs2mJjzB+GEYmTSpsNu9fEoJHda/onHWPTgfWUVnkR\nBIGQ+HbcOv4mmoWa8bntTH/lHT58awq5YhgvTn2KlGAjGlFohGlWQG8OpFWXTiS3DgXyOHC0+pRx\nKZDQ9Xo6mU/6MxuD7Cpk1qzllNmDGf+XtxjQMqJm8SDLyPW8avypSqMEvqOylPxDB+v+7zOsB5az\nxrNCceZmvpk5k2++msH0L7+se33z9Tf8/Mt6KhzeRl9PXauKzKFtv7Jo3W56P/YEPaP0aE2BxAeE\nYQD8ko+jBfYzox/wO8tZPvM9Hn55BsbYbjz99CN0SY7GZNBjNesxaEHByIgRXU/6twUN5sBgJK+M\nwwkIkVzXN/G8v6k5pAXDb7iepBAtDhQQQDjl3sh+B9s3buZoXiUI4QzoFa/6j8+gQZP1kCFD+Otf\n/8odd9yB3+9n0qRJJCUlMWnSJHw+H8nJyQwbNgxBELjzzju57bbb6oK+9PrfMEpVkdi/ZjHHxGDu\n694OQ4OrcZVTEUU4M9zuxOrMdWQ9y46ecuDURbc2hE4JIj8er/3/wErW5VWT0NZ0RmsGWia2JCrM\nSnD0TXzwQU/KXSJRURHn1kYUDxlzfgagsriSH/87BaMgoyAg+2wczK8gMDAQQaujosIFYiSDH/oD\nxYldiWyRRoTeQ3FeLrt3b2LDvlM95ArlRzLJ2L0DFzE8cEPH01aiRks8D/zrFboftpM2oPNZk46+\nRRotQk+OZa0umKhoILv+yzgXsV2vY0DLT/hhaxG7M9eyL2ck/VqG46zIZ+PWzbQZ9yDNrXpkj41t\nu3aSW+4jumwLUz8+iizVCG+dxkuWEEhgIOCvpMonU/PLnZyGewzrRYAIQnAUHYKjat70U5dUR+CU\nlbhcRcaPiwEj+1csYNr+VTXuBVGDt3BjnZXL6wOvv3aBho72g8YybngGH3y9gsw935O5J5a7X3ub\nQQnnN9/Xh8FkxmC2ACUcOloK3U5aVLSGICIjRWSx8f4ot62YvKpyJFrTJqSSPbtt5/m0giIYiU9o\nQUjgmWP4bDwuO7ayEw+EhsS4kHqElIzkk3BX29m7YSFL12fW/Dp6C6Nvv4e0gFgk6cKj3H2O4yyY\n+TX5xjQe75FAZYUNFA9BBh0GDVT5JA5k5iP1jKqL0VAkN3sWf8/L73yHzhjMjbfcTv8OcYhCjYB3\nVDtxukDQd+Ga9uGnXYvsc5J1cD8FTtC1GkV6zPmVnsDIFvQfFU/eqqlk+7zoTXqim4fWZfuzl+Sw\nbvNaKgBt8g2kRalK1Jk0KJBNJhPvvvvuWe/PmDHjrPfGjx/P+PHjL0/PGkD2HGXpD1vQxnWkQ+vk\nCwj2UGmI0pzDp79xSlAGCGhOW2fZKapyAWdOZgKioKlbAQdGxJ0zGKQOyc6+rEoAgkJS6d6rBwbl\n5MTVs++QmpYFkdTO0YBAVPvBPJzUlcJjOfz67Yds3JVNsSWU0lzHyXYVhaqKYsqKKoDmhAacvlAU\nNFoSO/UhsVP93VK8UuPNpedBNMfxwL0jWbD1M4qzdrN++156pgyg+NAGNuaZ+OMDaRi0Al67g7L8\nHCQgukNXenaLxH/K/N25a7+aP7ShpFp1nBkRHh1ubnTgkOIpYN8hNwjRtOvYmbTE0FOOdqXvqJq/\nAmMSiQ48OYEK5kjueOhBdi5bxbJCCYikc8rFBSzpzQEYrDWjo7LqdJOrz12JzRVNWlQ8+kYG/7jt\nNjyOKqCMj/71LwzndZKAIiTx2LOP0Te9WYNR1m5HFWV1UdrJxITWp3RoaNZpAI907Mf6GDeb1mdS\nCVh738tfnn6cKOtF7DxRfBxaOZM5vx6AKD9fvvNarUVIwXb0AG4FFL+fosO5uOmMFaFm3OcfYNbs\n7ymvchLZaTw3j+2NtfY+Kn4Ph7MzyXNCxHXDSAk4XanxVNs4tGM7fgR6jx5ASGMSyShuMrfsxuf1\nExQRROd2cbVzgMyhDYtZuSMPgLTRgwlVE9OcxRWfGORc2PYtY0mRh1ZDUmiVEKWmAbyMCNozrA3h\nYf8/eZwVP97a/bGBzdvS/7rrzhkxKtRqTH6XjYyl3/HOS59QFNWe+554mNG9U5krHOC173adaBhb\nRTnFVQBSrab3v7CoaEgadgfXBn/Dz7YSFi7ZzB9GdGPLjz8QlNyJTq2bIyCgKApyrbugWat0Bg9p\ne6bMrUEQas3Q0hkHLmD5oLjx+QBTCG2692VIl/p3NAiCwJkPmSWiDelpgSwrrAB2M23WUgZ0vK8u\nWK2xCKJQ93ue/qvIHN22kIMRKdzZsVXjtwvJtQkrNDIdevcj/HwbZxUFSRNGeETD2jGAOSCEyFDI\nzAcIwXTmVszTELCX5VET2ioy5o5bibRc3DZQT9lu3pn4OUpMWwb3645Orr1EEaKsHrLyCvE4fDgK\ns6jyKlgNAorsY9faX1iZcRgJM6MevY/EoJOLKndVKVvWLseNjptHn50a1lF2kB0ZRSCGc0Pf5EaZ\nl2V3Bdv2l+CTwBLaj5TYmsWh31nIT29/RgUg6I3cMKiVaq6uhyYpkBXZxeqv5uLXBpKS0p3YYNX0\ncTnRnLHth2NFOIG6GPrT5nsBzQWYE8+LIqDUTrq245vILZlAxyjTWfsYJW8VOUfKiIyPZOfsD7n7\nxc8Iiu/Hc6+8xNieiQheF6JyulZkNBix6ADvXn5aeZj0UaloT5sRFGSfg7w8O9EJMQ0UMbl4RG0C\n4x8fxrJ/zKVg5XLmzA9j1bxCOjw2mLgQIzVyT0CoTYCzcuEGqm9sS+CZW7EUBXdFPpllOtJSwy++\nQ4oGRQRch9h+MI8R6S3OmChr9paWHMvHbw4nNqzGJK1ILvYv+i9vr3SQlJhAcW4u+2a/yse9e/On\n0W0wXsBsK4o6LKL+tHuuyBK2/F1M/3QWnbo9TIfE8EYvugOi44iKjEbID2PULXeSHhVQt1/+UjGY\nLIRGBEJ+FXCAoyUuWlvPYZFQXOz5dWONfm5IZljXmItQHBQkdyWLpk1hjWTh7kf+xXNj25/2G/mL\nt7B72352OoqpsB+kxOYlJsqI7HNz6MAWSvwyhFzHhAHN676nyH4Ob57Dks0VCJaO9GsTB7V+9BN7\nzvP3rmOPX8GY0JdOcUGN6quzJI/M8iIkIGboAEI1IPuq2PTFO8ws8qLTAcED6RkfUHM+oTGxBlcP\nTXKjkLd8P98uP4oxJJS2vTthVt3Hl5XIlulEnioAjKcMFMWHreqkRNboE0iNsnA2F/GYaSykxtfk\nIj+et4fly7dg95yq/Sn4PQ52Lp3CtE/nk5+7k8+mLwQ0tO4ynOHdEutWmHWx3IIAgkhwWBgR4TUD\nZf7U/7DrWAV+ufYzioLkc3N4w3zen7wQx5kK5nlzmFz4dbYacBOdm1mALN762z85FJ1M32GdMdbe\nZI3BSGBkNCJQtXIG87bk4PGdNJsriozXXsT86R/z7qL9DRhkT16Ev/ZCZMVz0gSuCyelmQ6ws+S7\neRwociCdkg5RURRsxzP5durHbKgNkFMUieKsDXww+Vtiu4/mhUlP0atNLIIAX772Omszi5AuIAhL\nY7LSzBJYY4URBBTJT2nuLqa+9RYZmiGMu/U2ws+xlac+dIHNGNSlHYHONfzng6/JLT39mi4Fa1hz\n2qf3wiQKQCXLVu7Gcw5/sFy5lzU7arZHhXS8lvb1mHsURcbrceN0uevtoyL7yc1YyKfztpLQ52bu\nGtb2LM1StEaQbKhRSmxVLkrKa3a7+P1uirJr3E8BPTsTe6JykiJhz93K++/PwCYIRHZKJznEhKOs\nFLu39nlTXGxbthQQaNe3DeHmRig9ikJx9mHKC4oBPUP7tkSQ3BxWi14GAAAgAElEQVTc8B3vf3GA\n1kkheD0CsX06Ea2VqCivPCvJzNVOExTIMke3rOaA10NoWDt6tz+/NqNSPwpn5aKq+18f1YNbByWd\nNJ9U23D6aiYd2VPKjrwTE5CW1EGj6RFjqbdNWREvzPeqsdBr5AAsgMd2nDkff8LClTsor6rG5XJS\nWVZExqL/8vIb32Pu1J0ATwXF3hqfo8dRTZXThdfrxlaaQ97xmonQJ/nx+n3og2KIb5WKKIA7cwHv\nv/s+Ww8eo9JeRWVFKXs3LuKjadMxtk7AeiJa/IRQ0Z4+4Z56TeU21wX7l4OiW9H/mq51gTcx3W+g\na0JQndzXmgJo37oDUWYNkMcX/36dhZsPYKuqxu12UlF8jF++/ZIvZu/j+kHtzjK+e31nmrABNOhr\nJ+Rq1zEKKlxIXhfHCrx0GdITHVC0YxEvPPMxO7MLsTucOB12SvOzmfPFh6wqkElqFgaKgtdWwA9f\nz2SbM5Y/TXyGPv0HcfOEQURbNXhKN/DVZ99wrNLb+PsiimhqNSWPz0fBoW1MnfIfFm4N5dkXnqZP\natiFLe80FvqNv5khLeLY9sMnfDhlOntzCnG6vciXKJi15hAGXjuUdok1gWebf/qcLYeL8Z8llGWK\nti4hywWgodugDvVUQ1JwV5WwduGPzJg5jz3HzoiQVhQcpTnMnj2Xo84oHnrmAWItZ892ojGMti1q\nnEq2kioKCspr0kz7ndgKaxzePkCWaywP1UWH+OZfk1l1wAZGE106J6Bz5fDppDdZfqgKBZCqD7N8\ndT6I4XRtk3LeLGQn++vl6NFjFJW4QduLri0MHNm+nGmfzyHtsfvpEuIFIZCB6YlU7FvE5CkzqfSr\nEvlUmpzJWvHbWLNgOx6Xn4g+I0kKunorg1wcNekIy8vLOSXsCZ+vnILiCsKjrJj0wYx95HHWZExi\nR0UVcvZMFmb8gQnpEZTt2ECG0weIWAI7c9eE4YQYNPhcTiocTnx1LXooteVRVFaFOdyKTtOYZZNI\nbN8x3Nt8Oh/nFVGUt45Xn9nBsnH30i8liKylv7B8ywFMsTdz703dMWQtqi3RJrE742ve+9TIkDZm\nfvliMqsyayaiI1s3sXpTAMV5AYwcNohtOw9zqNzH+nlfs2PPTkYMTEcuyOKXtbsJ7TWejyf0QIdM\nla0CZ2WN908uLqDC5cFg0iOg4KqupLJ218r+PXm4fJ0xn9eXeDpaczC9e/Zl7k/rySrXM+7WIQSe\nErAkiAY69xlAeudfWLDuIEe3LufFJ44y5IbhdE8JIGP5T6zYmkfvO57jhjZhyD4PDudJrXdHxmHG\ntuqMQas5aSLVBNI6xQBroeB4LguWrkaJLODPb37P0089SHrQNjZVOti5dip/fmg5Q8eMJRYbSz/5\nikw5mjueep7WccFIfhfbl//IvFkbGPiX97ihfQSiAP1uvIuBP6xj5s4jbPhlAbO6dOehcT0J0Dc8\nxSgK+JWahc7Opd/y9qYD7JHa8q/Pn6RXy0guJvbHEt2J56e8wtH7/saK7z5kxcbNPHzfrfRsnUiA\n2YCoOXFuBUFnJCoiop6EIfUgaGnRbSiP3PErEycvpGDXct59K4Cnn3iMDkkxGHUifp8be8Uxfvry\nq5rnQd+MXu0Szl5UKHB42wpee/4f5EvwxSYNKz8ex4mCTT5XFesXzGbOou0EDfkLQ1LODIusSYPp\n90roam+zVFpETtZhqvslYdIHEdeqORzKwb3sF1buHECysZSfPvyEZQfsRCgKRW4dZo+NmX/9Cxvd\noxifXGOaLt21mq120DZLIDk5iTO9WPWhSD5slRVUS0CzGI6sn8/8z6cid7mPF29uyUP/rAZDAkLx\nfp6aNp+2T04muMlJoN8Wzcsvv/zy/7oTF4K78ABf/PgjOUVu7n9+EukxjQvGUDmBxMGl3/Deh59x\noMyNRqNBo9Hg8VSw79BxhMBIWsdHExyVQFJcAIV5RymurGLvujyMpirmT/maAyU2Ylv24K4//olx\nIzph0AjsW/oFH0//kUKHv7ZNgePHCygoLqdZWjdiGxlZKogBdB3Zhextuymz23B6fBzdncHa1evI\ntftJbj+Wt2Y8R7JFgzkogKIj2RzOysXrtZOVsZoNOw5jjZvAkIEWsvbm4C/N4pc1B0lsP5xxtw0h\nWikjr7iKsspqJFsJ+3fs5GBuOa16j+Cpxx+kY0IYVce2M3vmTFau2oJL1oD7IB5dFLEx4fiObeeH\nmdP5YeNRNBoNtmOFBMVFEh8fj7kxsxY1UeKBQQb27tjOce0IXn52KKcrPgKG4GhaRus4cuQYx0sr\nkdzlHNy5mV9/XUdepY5+Y+7kz/ePI8LiZf28H5k1fzF7j1YgaDRUHCnHEBxMZGQ4VpO+RigLAr6K\n/axZuR+Xt5p9qxfx644C+j72Jn8a0YXgIJG8w5mUOz04bOXs2riO9Zu24YtO5fqbHuL+P1yD1V/K\nLz/P5pMP3yXL3pz+g68lPS0erQBVpcXk719LRnYFor+KA7nHMJjCaNk6EUMD/mTZVc6SZUvYk11N\nbIiG5M6jeWnig3RoHnrxgT+CgD4skSFDu4KzmMpjOSybM4uZM79l9ux5/PjjbL6fPZvvvv2Wecuz\n6NC1J80iLI3y8Qqijhad+5KkLaagwkvOnq0sXL8Hn89HUf4htq5fxhdvv8H3u/00T2lFu2tGcvP1\n/YgIONvsW5K9i8U/raRSlqDD9Tw4tFWN5UR2sGrGVN57/XMKBRGNaCE8XE9kswQsteNMUWQKc/aw\n/Od5zP55M+VePxqNh0JbJXqdldS2qUjeCrZsP4jHncPSufNZvnoFJZZ0/vnOgxTM+ZEc2UdW1iE8\nYUN445M/08IiIigeVn70Fov2FJHcqQcTxo8kKkB/ckEh2Vjy+XdkKzp6Dr2JLrXWHUX2smfbOtZk\nHEBx7GfVr3uJ7zeOZx68lWhDJbOmzqZEtnM4+zixNz3La/f2wXDGDXcWHmThkpUcrwjm9kdvJvz3\nUoS8kTS59YmEjt79BxPXzsy1bUMb/oLKWUhumXYDxtFuwNnHBEFGEUDQGuk66lZeSkri56XrKCws\nZ++uXQhtO3N7v6H0uO5G+nROpDYPPRpTCANG30k9TV6wSVcT0ZmX3nmNRT8vIjPPjoSC1mAhvnUn\nhgwbRLPaxCQYY3j4L38hNjqFHKcHUWcguVMfBg/sjr9wDyGWBAodAtaWfZgwvCNarciQR/5OQvoq\nFq7ZitPlQRa0BIU2Z8jokbSs3VPqLM/HbWrBjfc8erJTnnLKKqpQirKRQtrw8KNt6g75inOp9MiE\nmRqvJRvDkxh74+20DutJeL1f05DU5xbeCE1k5k8rKa+qRpYF9MYA4tv14PohvYkMNICvhML8MpK7\nXUNyt2vqvl2Zl0e5vR0xYZa69tpd/xgT84LYUVmNoDWS0nUQo6/rgBa4ZsJ9RMRGsGRdJlUOH4JG\niykwiLR+I7imV2tMIvgqKjhU4KLXmEfpBeB21MYvK1SXFqFpOZiHEwbX9cFbWIxDgsCGZhmNkY59\nBmNqMYz+IwfQITmOy1W0LSCuEw//7W2G79/FhvXbKKl24peV04peKEo0gRecxyCAQQ++Tst+21iz\nbiPZx4opzNxOQaaARqcnofco0oZG0qlvHzq2SSLIXM8+BQGik9O4+fYJHHYLxA5vzwk3L7KbMoee\nIY+eHINlOdnYPYOINNWp91TZismvggG3nv7sOQoLcQp6el53BxOlUHZkHkNWRCLiWzJ46BBSYgzc\n/Oi9RBR6sDZvz5gxI0gKrI0xcB7jl1V5IBpJTOhI8zBTo1wGotZE915Dua9EQwV64hK6cv3oAcSF\nmECOZvw9d9DOr6FF+76MuaEvlqtL1jYKQbmQFDhXALLkx+P1IqPBbDKoEXr/D0g+N3a7A7+iIAha\nLNZAjBe4teWizuv14HC6kVHQaA2YzMYzIqNrUBQJr7emeoxWc8JMq+D3+2uE2JlmU0VBknx4vX4U\nQURvNDZQIee3QfJ5kURdg8UpJK8bR22VKa3OiMVyKeNewu3ygKhDr9eeFX3scdhxeSUEUURvMmNq\nhMn50lHweryIOh3ayxWxf47z1FWrOhHdqygoCGh12oveLSBLEh6XE6e7pqKXKGoxmEyYTIYG41sU\nRcLtcODyCQSGBPwmGpIi+XC5vSgIGIymuhzjst+D0+3HYDTUjgMBjUagfM9PjL3reUr8Qfzpzf/y\nwNDU090G3hye7DOWpZKZJyZ/w/0D40+OR9mP0+lCQoPFaj7t+v1uBy5JxFxbJa0+SnYs4NGnXmRb\ndgIL9n5Pq6tMajc5DVnUaDGdt4KMyuVGozMSHHqhhc8vw3n1BgL1DUd3CoIGg6G+ggHnMJMLAhqt\nHpP2f1vvWKPTN2o3tEZvJFB/ue6/BqPJfM6jBksAhvqC5n9TBPSG/4+tiwJaveGyT3qiRoPJGoDJ\nGtDwh8/skaDBZA08K63O5UTQ6DDXs/9Z1BqwWvW4K/LZm30cRRdIm7aJ7Nu0iiqng5AWAxncK+nC\n3AaiFvM57oPWaOHC79DVhSrZVFRUVK5aJHbNncyjb86F4FjenTGVJWuzcfujGPHgw6QGac5pjakp\n5+jG43YDGgxG3UVabhR8Hg+SAi6PE0k+TyKX3zmqQFZRUVG5itHqg7BarThlP8u+n8HOHC/Dbv0z\nT4xqd46EJyBrRBSng80Lv8G7NxDZ3I2HH+x3Si3rC8HHrm8/ZXWZF8fxvRRXuhEEsZH7639fqAJZ\nRUVF5apFQ+q1E3iSKHYfKsRoDua2J0YwaHAPws/l0dGYadmpHfnFdjyFB9iU58ATFcGD9LvoXtiL\nD7Biw3EC9Dqat2pPQEXKRQr3pk2TC+pSUVFRUbmcKEg+X02Od0FEp9Oh0YjnNj8rMq7qarwnotUV\nGUU0EhhgvHiTtcuBwyvVBpcpyJKGgGDrRe1Bb8qoAllFRUVFReUKQM06qaKioqKicgWgCmQVFRUV\nFZUrAFUgq6ioqKioXAE0SYGsKMppLxUVlYtDURR8HhfFxSU4Pb6Gv3BVomAvKaLY5sQvyRecClZF\npbE0qW1PiiLjdbtwOZy4fX4UQKs3YrFaMOl1p+WnVfk9ouBzOXH4ZbTn+K0FQUAQBDRaHVqtBlEQ\nL6Io/FWCIuO2F7Nh2QK2FOoZO240KZFq9bSzkTm6dSFzdlbS49qR9O6QgEWvVdP2qlx2mo5AVvyU\nFRxm3eIFrN9xGJ9Gj+x341QMdB44gjHX9iYqxKI+JL9r/Oxf9i3TdxcQ6Ds9bcCJxZhOp8MYGEjz\nhFa0TE2meWwMwdb//7SfVzyKjKM0m1mT/866Uh1D73icqEC1clr9iDRL60777Jl89P57HLnlHm67\npiNWVSirXGaayLYnherCTbz62KOszA1g0LhbGDe8D84jGXw1bSoZeW5ajHqSz1+4kxDjhVZtUWk6\nyBQf3s2qNUv44KOZFJdXAyBYwklpFoZWq8HtqMbltFNe5UavC2TovU/wxD031FRGUqlFwV2Zx9fP\nP8OHG/J44ZPvuaFjbF3RAZX6kbxOlsx4g398n80jf/0rt/Vrg0Y1v6hcRppEPWTZW86Up27hy80+\nrrntaf7257tJiouiReuOdGnXjB1rV7Nt1SLoMJY+KcHqqvV3i4AlNJq2aT1poctnycqd+GSZ8Bv/\nxc9fvMIdE8Yz9saRdEgOZ++ePeQV5LNnw1IOeKMZ2KM9plNKOimKgizLZ8UjnOtVYwoHRZaR5bOP\ng3CygtAFoMgSfklBFM+diKHmHPWfV0FAFITa42dfzwkT/qn4XJUsm/4W73+/mU5/nsqzw1uhuejC\nw1cPokZHs4RkXHt+4r2f99G9dy9ig02qq0zlstEkTNb+0kxmbvWhCwgitXsPgutyqonEte5MuxaJ\nZBwuY/WqvTw5tAX/2xo+Kr81giAQHptEGFAAJKUk1FTLEbWYgyLoMeRW/qFX+Mvzr3PwuJPN37zG\nstHDGJ8WVtuCgtdRweGsQ1R5TzF9y9SFOUqyfFJIyhqSOnYh0gzlRzM5mF8BmpOWGEGrJSwqgaTm\n4RcokGVsWWuZnx3I+GGdMJ1DKCp+D3lHDnK83HHKmwKComCKaU1aYjBeezlZh3Kwe/2IgIKAgpHW\n6WmEnuYWljmUsZhPvl2BLnUkL97aRV3AXgCmkBiuGzqSJS9M5sV/TOa9N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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/dijkstra.png'))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Vza7Ko4S4F3cY9asHw4YNpm/TmiSmOxNTRy6X4+vry+yZs6hQpiwd27Xnx9mzmTltGnJ5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\noZ31qLx0cU/86ezgykv+h9muSz/+0rcn3dp14qEt8+jq5MrINAWH9+7M9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xdSFJRc43WD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\n9OnTP5odPslyqJ+fH9WrVwegdOn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig24_6.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 24.4 Difference constraints and shortest paths\n", "#### Linear programming\n", "\n", "#### Systems of difference constraints\n", "In a system of difference constraints, each row of the linear-programming matrix $A$ contains one 1 and one -1, and all other entries of $A$ are 0. $\\to$ the form $x_j - x_i \\leq b_k$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+hP/fI6TrGL79dgnbt+/m0KGjjJj5FE+OHUmUQhydiyje+Oxbdu7YxeG9yfS6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Rf+aEXa09OD3+83Ou/IyAh5eXlUVVVZObe+T03Lu2PHDkKhEPfv3+fatWtcvHjR6P1dXV1lfn6e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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/inequ.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Constraint graphs" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ysmLtP/8wdcaMGNv5pUBhDu/eyegze+gyaBT5s9lFfqZWq2nYuHGCY0xKWbNmJXuO7Dx8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WAAAg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\n8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig24_8.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 24.5 Proofs of shortest-paths properties" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }