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@nicktimko
Created May 30, 2014 00:30
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{
"worksheets": [
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "<div style=\"text-align: center\"><img src=\"http://img2.wikia.nocookie.net/__cb20110515211858/half-life/en/images/6/6d/Super_button_p2_blue.jpg\" width=\"150\" style=\"display: inline;\"/><span style=\"font-size: 40px\"> + </span><img src=\"http://www.staples-3p.com/s7/is/image/Staples/s0105150_sc7?$splssku$\" width=\"100\" style=\"display: inline;\"></div>\n<center><h1>Designing an easy-to-use Heavy Duty Super-Colliding Super Button</h1></center>"
},
{
"metadata": {},
"cell_type": "code",
"input": "%load_ext autoreload\n%autoreload 2\n%matplotlib inline",
"prompt_number": 23,
"outputs": [
{
"output_type": "stream",
"text": "The autoreload extension is already loaded. To reload it, use:\n %reload_ext autoreload\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "from __future__ import print_function, absolute_import, unicode_literals, division\nimport six\nfrom six.moves import (zip, filter, map, reduce, input, range)\n\nimport pathcustomize\n\nimport sys\nimport os\nimport platform\nprint('Python {} ({}) [{}] on {}'.format(platform.python_version(), ', '.join(platform.python_build()), \n platform.python_compiler(), sys.platform))\n\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport networkx as nx\nfrom IPython.core.display import Image as display_image\n\nos.environ.setdefault('MULTIWORM_SETTINGS', 'multiworm_settings')\n\nimport multiworm\nimport where\nimport collider\nimport collider.viz",
"prompt_number": 24,
"outputs": [
{
"output_type": "stream",
"text": "Python 2.7.3 (default, Feb 27 2014 20:00:17) [GCC 4.6.3] on linux2\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Initial Experiment Graph",
"level": 1
},
{
"metadata": {},
"cell_type": "code",
"input": "#ex_id = '20130614_120518'\nex_id = '20130318_131111'\n#ex_id = '20130414_140704'\n\nexperiment = multiworm.Experiment(experiment_id=ex_id)\nexperiment.load_summary(graph=True)\ngraph = experiment.collision_graph\ncollider.viz.direct_degree_distribution(graph, (3, 4))\nplt.show()",
"prompt_number": 25,
"outputs": [
{
"png": 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s2RKAzp07k5iYWIG3qXy3uymRlZVVJef+KzF0toqhg6cXWVkmXFzacDk3F4Dc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\nSgEvImJSCngREZNSwIuImNQP6nZzF6RN/agAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x12071a4c>",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Note the extreme and fairly discontinuous size of the giant component below, this may be due to \"junk\" that's highly sensitive to noise or other vibration that is constantly joining and splitting. \n\n**For the rest of the analysis, the (initial) giant component will be excluded**."
},
{
"metadata": {},
"cell_type": "code",
"input": "def component_size_summary(graph):\n Gcc = nx.connected_component_subgraphs(graph.to_undirected())\n print(\"Component sizes and example nodes in descending order\")\n for n, G in enumerate(Gcc[:10], start=1):\n print(\"{:>2d}. {:>5d} nodes : {}...\".format(\n n, len(G), ', '.join([str(node) for node, _ in zip(G.nodes_iter(), range(5))])))\n\ncomponent_size_summary(graph)\n\nprint(\"\\nTotal nodes: {}\".format(len(graph)))\n\nGcc = nx.connected_component_subgraphs(graph.to_undirected())\nn_components = len(Gcc)\nprint(\"Number of components: {}\".format(n_components))\nprint(\"Removing giant component...\")\ngraph.remove_nodes_from(Gcc[0])\nn_components = n_components - 1\n\ncollider.viz.direct_degree_distribution(graph, (3, 4))\nprint(\"Total nodes: {}\".format(len(graph)))\nplt.show()\n\nprint(\"Fraction of components that are single, 0-degree nodes: {:0.1f}%\".format(\n sum(100 for node in graph if graph.degree(node) == 0) / n_components))",
"prompt_number": 26,
"outputs": [
{
"output_type": "stream",
"text": "Component sizes and example nodes in descending order\n 1. 44509 nodes : 4019, 4023, 4026, 4027, 4039...\n 2. 1913 nodes : 40966, 40967, 40372, 40973, 40977...\n 3. 1381 nodes : 49174, 49175, 49178, 24630, 24631...\n 4. 1278 nodes : 43008, 38913, 38914, 43013, 40846...\n 5. 1050 nodes : 63489, 60762, 47148, 60765, 53298...\n 6. 1003 nodes : 14337, 22504, 21163, 18437, 12295...\n 7. 922 nodes : 57345, 57347, 57348, 57351, 57354...\n 8. 816 nodes : 24576, 24577, 28674, 24579, 28676...\n 9. 593 nodes : 61440, 61441, 61442, 61443, 61448...\n10. 530 nodes : 34839, 34840, 34842, 34845, 34846...\n\nTotal nodes: 68081\nNumber of components: 2340",
"stream": "stdout"
},
{
"output_type": "stream",
"text": "\nRemoving giant component...\nTotal nodes: 23572",
"stream": "stdout"
},
{
"output_type": "stream",
"text": "\n",
"stream": "stdout"
},
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gIYSoCSo6muSlS5fYv38/ERERQHEvIwcHBzZv3szYsWMBGDt2LJs2bQIgLi6O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\n2ChJ8EIIYaMkwQshhI36f/Td/iOPBrZFAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0xff1608c>",
"output_type": "display_data",
"metadata": {}
},
{
"output_type": "stream",
"text": "Fraction of components that are single, 0-degree nodes: 86.7%\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Raw view centered on a target blob (node)",
"level": 2
},
{
"metadata": {},
"cell_type": "code",
"input": "#target = 4115\n#target = 913\ntarget = 575\n#target = 43804\nsubgraph = collider.subgraph.nearby(graph, target, 3)\ndisplay_image(collider.viz.render_nx_as_dot(subgraph))",
"prompt_number": 27,
"outputs": [
{
"png": 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UelGpcPcm0s4gTYCrF1EtsogXR+UYrb2q0ywwmQgKxeDhGJyIIUnw8bOEEwZC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\nHF7yf3V7C+FKzQe0AAAAAElFTkSuQmCC\n",
"text": "<IPython.core.display.Image at 0xf83832c>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 27
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Reduction Steps",
"level": 1
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Single descendents\n\nFirst we concatenate all simple paths into a single node. For the graph above centered on it would condense 567, 572, and 575 into a single node."
},
{
"metadata": {},
"cell_type": "code",
"input": "target = 577\ngraph_step1 = graph.copy()\ncollider.remove_single_descendents(graph_step1)\nsubgraph = collider.subgraph.nearby(graph_step1, target, 2)\ndisplay_image(collider.viz.render_nx_as_dot(subgraph, ref=False))",
"prompt_number": 28,
"outputs": [
{
"png": 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3FYmvX62ZYKE/m+lXAk2snJpxnb7wjPDbHvHMRU2z5vL8pnBopuVe0JCnCUJc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"text": "<IPython.core.display.Image at 0x10c741cc>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 28
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "This results in the simplification of the graph by a few thousand nodes"
},
{
"metadata": {},
"cell_type": "code",
"input": "print(\"Total nodes: {}\".format(len(graph_step1)))\ncollider.viz.direct_degree_distribution(graph_step1, (3, 4))\nplt.show()\nprint(\"Fraction of components that are single, 0-degree nodes: {:0.1f}%\".format(\n sum(100 for node in graph_step1 if graph_step1.degree(node) == 0) / n_components))",
"prompt_number": 29,
"outputs": [
{
"output_type": "stream",
"text": "Total nodes: 22818\n",
"stream": "stdout"
},
{
"png": 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q8EIIUZ1YUg1eErwQQhixpMHGJMELIYQRS7qvIgleCCGMWFB+lwQvhBDGpAYvhBAWyoLy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\nC0pmZibjx4+noKCAgoICxo4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Oq9JlZmbSp08fvLy88PPzY/Dgwfj7+xfZRpo2qxZ50EkI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\nbCUAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0xf21d88c>",
"output_type": "display_data",
"metadata": {}
},
{
"output_type": "stream",
"text": "Fraction of components that are single, 0-degree nodes: 87.0%\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Fission-fusion removal",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Nodes splitting for but a few (or one) frames is a common motif that we can remove"
},
{
"metadata": {},
"cell_type": "code",
"input": "target = 747\nsubgraph = collider.subgraph.nearby(graph_step1, target, 3)\ndisplay_image(collider.viz.render_nx_as_dot(subgraph, ref=False))",
"prompt_number": 30,
"outputs": [
{
"png": 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qqkJCQvr3779nz576jVu3bh0/fryvr+/NmzcDA826d87IyIiMjFQoFPn5+e7u7tRGuVyu\n0WjS09MjIiLqj7x//35kZKRcLq+pqbFOM21dDaGaZBMt8cKFC5cvX56amkq1tcZHjhw58sKFC7m5\nuXI58xPx8nHjJL6knVgnh9dT+LqpuamOzIOWmIT+EtbQHhGLRx/BR4w7GADV0A4fPrzhxk2bNgGY\nPn26mQ4GsG7dOpIkR40a1dBVjYJTNSQ0NNQqvU3WZT6pqalLliz58MMPTZzd8OHDy8rKdu3aZbVI\nEwSi82NYSnszU4vym/idjUrZ5oGJs3BejQLj3Z0wJh6vithZikf1KTt37txw44ULFwA8+uijy5cv\nj4qKkslkkZGRs2bNKi5ucubAr7/+CqPf9/nz5wOYMGHCiRMnKisrKysrjx8/TvVb3n77bas109Zl\nPtOmTYuNjZ0+fbqJY6hwRIcPH7auimZxhf9wfOiDNsa77uCgDrUs1csiVD/vKLl4PTmm0d9R8lOS\nNBh3CpmCsm9GRkbDjTKZDMBrr73WSGdkZGRBQYFxIadOnQIQFBSk0+ka7dqwYUOnTp0aFtKpU6dN\nmzZZLdhEXfU0vKqNWLt2LYDExETTR6anpwOIi4uzWqc5VJHFW8gXjT/0dPI4q/WygQgACdJ4VpoI\nLr3wGqvDh3l5eQC8vB4KwmAwGAAcOHDgjz/+KC0tLS0t3b59e2hoaHp6+sKFC40LoZwxefJksfih\nWxa9Xp+SkpKdnd1wY3Z29s2bN6kqrKCpusyhtLR03rx5kyZNaniHSou3tzf+vjjsoYRvHMYbby9A\n8/emjoYIQC3KjEPjhKC7En6s1l1eXg7A1fWhOwk3NzcAa9asGTVqlLe3t7e39+jRoyn3GHcTNRrN\nli1bQPf7vmjRoo8//jgmJiYxMVGlUlGjE9HR0f/9738XLVpkhVoTdZlDQkJCbW3t559/3uyR1AWh\nLg6rRGGocUeRkwWRNiICoKFbJ2OHGTxUG9wofxE1mNCzZ8+GG+Pj4wEUFjZ+jrpz587y8vKuXbs2\n6lgDWL16NYAtW7YMGjTIw8PDw8Nj0KBBVIavn3/+2Qq1Juoyh19++aWysjI4OLj+cQm13fiRB3VB\nqPaYVSSQG0/pZnVFIEuIANCuqTRzSpQtUGNMZWUPhZ6g/Hrx4sWGG6m7PePxf6qFpm0aS0tpZtxS\nHYlGNZqJibrMgTR78QElj9GHHfSQII1nd/ExGIAIgALexmPgObhkgI7Vunv37g0gJSWl4UYqsuqL\nL764c+fOsrKysrKyHTt2vPjiiwCeffbZhkcWFBQcOHBAIpFMmjTJuHDqyzB+/Pjjx49ToxPHjh2j\nRicaNfPmYLouczC+HWm4veGR1AXp06ePdRWZTz6uG4eWc2W5D8kGIgBiuPggstGOGpQm4Q9W6x4y\nZAiA69cfmqcxYMCA6dOnZ2Zmjho1ysfHx8fHZ/To0dnZ2Z06dWp0Y7dhwwadTjdixIhWrWgW3ixd\nulSpVF64cKG+OzF48OBLly4plcply5bVH0Y7gcEY03WhwRQL2v9aBHVBhg4dasV7zccA3WWsM97u\nj3as1ssGD8aJW6O38b4b2JqHq+zV/cwzz3h4eBgPiK5cuXLdunX9+/d3c3OTSqWxsbHvvvvu6dOn\nG41jmP5979Onz+XLl1955ZXIyEipVCqVSiMjI//9739fuXKF+gXA370Lc1J92diXsIjDhw97eXk9\n9dRTbFZCnsePxhPcCBChiGezXlZ48NhZg8odeMN4ba0EskF4OxBxdO9lgJkzZ/7www8lJSWNxijs\nw6lTpwYMGDB//vzPPqN/3m5/qqqqfH1933jjjeXLl7NUBQnDZaxNwR7jXSHoMRgLWKqXPR60xDK4\nt8OTxrt10BzBf5PwB0tT9d555x2xWEwNXdmfnTt3hoWFffDBB5zUTsvmzZslEoktzxRNo0HlUXxC\n62AC4m7gZSbgf2axdcIYDwQbH0FNOT2GpWyMVwQHByckJHz77beMl2wOO3fuXLlyJSc/Ak3x3Xff\nJSQksDQ0UYjkv5CQh2u0e9vjKZ6ujHxoPnEFcvZhQVM5AaRw7YKJMRjhNAsMWw61UF3Br/dwrKlf\n1AB0GIaFIn7GJmy8PKkASUfxiYlI1z5o0xWTg9CFfW0CDKCD5jYO3MQ2E4kavBE5HIv4OAmTgmaN\nXR6uncSXppNT+KBNRzzbGr1beOApR0aLqlTsTcUe0w/h/BA7GO/wOjYI/WrnSuQdw2cqZBvvaogH\ngqMwrA0GO1kwDr5Tint3cPA+Ttahmbn/URjWC6/yPWpjk3En6lBzFqsycbbZIkSQtEavaDwSiE68\nXjTLd+pQk4GTt3HQxCrJekRw6YmXYjDSDsLYppkIQFk4fwm/VKHInLLcEBCGvq3R2xcxQjfDbuhQ\nm4PLWTiXg0tmTmkPQY+eeNnNKSKnwJxYbDpokvD7LewyP+aXAj6hiG+NXkIEQfaoQVkurmbhXD6u\n6c3+aFwR0BMv8/GxnAnMjYpZgZxr2JSFs6QlTz3EcPFHu0DEBSLOB22E5tlGdKgtQFI+rufhukXx\nHQFI4dYWj3fEKOdrViyLT1yB3Fv4Ix0nrJjgJoN7ANr7IMoPMb6IEZK0mUkVioqRVozbpbhbjDQr\nMqgq4NMeT0bjEWe95tZEiq9GcTJ23cMxq7NOECA8EOKHGD/E+iLGEyF8v0FmEC3UZbhfhLQS3C7B\nbRMRT5rFC2GxeDQKQ5z78lqfs8OAuiycv4sj+bhuUR+DRgTE7gisz6TpjfCWk/qASnFQjkzq33Jk\nWRpA2xgXKCPQPwrDfBHNiEgHh4HsSVUoSseJLJw1Z2THTERwcUcrDwQ3zIHMRuwLe2KATo2C+pzV\nlcivRF4VSpiaXCWGNAhdqAEiCWSMlMkLmMxjV4WiLJzLwvkipLCRxE4Ml7/T1fsq4E0lrVfCVwYP\nGdxkcOc8LaEOGi0qNVDXoLTm7zx21SitQWkNympRbuNPFi0uUIage2v0Dkb3FuXdeljJKFoLVS6u\nFOBGPpKqrUqXYh0uUNYbWgZ3MWQuUIghcYGyPsEoAbG0QZo3F7jS9lv0qNP/PbvaAL0OtTpoDdBq\nUW2Avg7VVILR+hyM1Au7ZVcnIPJGRCt0CkTnQHRmKboNX2A9t3Ml8gpwMx8383GdjytpHQnCEyFU\nGpQAdODvfB3GsUeC8noqkUelKS9GWhnus70Q1QmQwo0akfRDjB9ipHDjWpEjYlcTN8SAujJkliOj\nHBllyChDuul5c7ZWpydFYgaGO5gqpwkINwR4I8IL4d4I90K4O1oJ01GahTMTG1ON4jJkqJBV8eDm\nPa8G1gSIMIY0kO/3PPLo7JgBL9iUxW3FuLPB7T3GftSBEVUiiN3Qihp48UCQF8K9EO6szyNYxYFu\nCJTwU8IvBD3qt+hQS+XyrkR+NYqqUVqDshqU1kBl0bDUxT9yM66p2sTbGlMntKPH/hV3n0yIlbtb\ncN1EcKHGUqjhlHrjusGf8+EU58CBWmLzMUBf+2AAq7wW5bWo0KBCg8oGrysaPp79oNcRr0D5nD/7\n2VivukQ7K3zv2I86PDYnpn6jBDIZPBXwlMFDBncZPBTwksFDDg8l/KjXNtYrYBoHaonNRwSxEr6m\nn33UocYAXR2qjx87ce/C7zuPr41HlzpUG6BrOF+xqY44AbFLg4BOUrgRELn4Ks6/5LHvq8NfT98t\nlypcoBBDKuQ+4xxetsQW8eSTT5aVlVGhhW0nPT09Njb2559/tk8gFQFzcHIT37x5My4u7vfffx89\nejRTZU6YMCEpKen69evWRakSYBwnN/HLL7987ty5pKQkBg137dq1bt267d69+/HHH2eqTAFbcGYT\nZ2ZmRkdHr1q1yjh5go0MHz5cr9c3zGMnwCHOHAZl5cqVfn5+bHReExISEhMTz55tfhWtgB1w2pa4\nvLw8LCxswYIFCxawEiGve/fuUVFRVOh5AW5x2pb4f//7n0gk+s9//sNS+XPnzt2+ffvt27dZKl/A\nfJzTxLW1tcuXL3/11Vc9PNh60PDcc8+1bt36q6++Yql8AfNxThNv2LChrKxs9uzZ7FUhkUhmz579\nyy+/5Ofns1eLgDk4oYkNBsOyZcsmTpxoIjMuI7z22muurq5cxaUVqMcJTbxr167bt2+zF6e6HqVS\nOW3atFWrVqnVVq76FmAEJxydGDBggJeX1+7du+1QV2FhYURExOLFi2fNmmWH6gRocTYTU2k4EhMT\nm80+yxTTpk3bs2fP3bt3XVyEmUDc4GwmHjVqVGFh4enTp+1W471792JjY9euXTt58mS7VSrQEKcy\n8a1btzp16rR169YxY8bYs95x48alpaVdvXpVmBLECU5l4tdee+348ePJyckikV1vWC9cuNCrV699\n+/aNHOkM4X55h/OYODc3t02bNitWrJg6dar9ax8yZIhYLD506JD9qxZwniG2lStX+vj4UFmg7U9C\nQsLhw4cvXbrESe0tHCdpiVUqVVhY2Ntvv/3uu+9ypaFbt25t27bdtGkTVwJaLE7SEv/4448kSU6b\nNo1DDbNnz962bdvdu3c51NAycQYTa7Xa5cuXv/baa97eti7KtwXqQTd7OZkFmsIZTPzbb78VFRWx\nOt3HHFxcXGbNmrV69eqiIrPy9AgwBe9NbDAYPvvsswkTJoSGhnKtBa+//rpCoVi1ahXXQloWvDfx\n3r17U1JSEhISuBYCAK6urlOnTl25cmVVFYtx5QQawfvRicGDB7u6uu7Zs4drIQ8oKCiIiIhYtmzZ\n9OnTudbSUuC3ic+cOdOvX7+jR48OHjyYay3/MHXq1EOHDqWlpUkkvAywxDv4beKxY8fm5OScOXOG\nayEPkZaW1r59+w0bNkyYMIFrLS0CHpv49u3b7dq127x589ixY7nW0phnn3323r17V65cEaYE2QEe\nm/iNN944cuRISkqKnaf7mMP58+d79+598ODB4cOHc63F+eGrifPz8yMiIpYvX/7GG29wrYWegQMH\nKhSK/fv3cy3E+XG4NsxMVq1a5e3t/fLLL3MtpEkSEhIOHDhw+fJlroU4P7xsidVqdVhY2Jw5c957\n7z2utTQJSZKdO3fu0qXLhg0buNbi5PCjJV66dGnDJu2nn37S6XTsRfdhBIIg5s6du3nzZmFKEOuQ\nfCAyMhLAoEGD9u7dq9FoQkNDZ8+ezbWo5tFqta1bt545cybXQpwcfphYqVQCoEYhIiIivLy8UlNT\nuRZlFkuXLlUqlUVFRdR/jx8//uSTTyYmJnKrysnggYkbhSYhCEIsFnt5eS1cuLDeHA5LRUWFl5fX\nhx9+uGPHjh49HiSG2rhxI9e6nAoemLipPqVYLFYoFHPnzs3Pz+daY5NUVVUNGzbMzc2NIAjql0Qq\nlX7xxRdc63IqeHBjl5eXR7tdr9fX1tYeOHBAKpXaWZI5lJSULFq0KDg4ODExUa1WkyRpMBgAEAQh\nxCBkFh7MUMnLyyMImqFAFxeXDh06HDt2zNPTkxNhJvj0008XL15cW1ur0zXOX63T6QQTMwsPWuL8\n/Hzj6WAuLi6RkZGHDh1yQAcDGDBgQF1dnfEXD4Ber8/Ozra/JCeGHyZuNDvCxcUlPDz8xIkTfn5+\nXKkyzcCBA48cOSKVSmnndQgmZhZ+mFiv/yfHrYuLS6tWrY4ePRoQEMChqmbp16/frl27JBKJsY8L\nCws5keSs8MDEOTk59T1LiUTi7+9/6tQpR1hR1yzDhg3btWuXWCxu5OOKigqtVsuVKueDBybOysqi\nXkgkEi8vr8TExLCwMG4lmc+IESO2bt1KEETDicUkSRYUFHCoysmw3wQgvV6vUqnUanV1dXVlZaVO\npzMYDFTtVFvl5uamVCpdXV29vLwajpr5+/sXFxeLxWI3N7cTJ0507tzZPoIZZPv27ePGjaMGNakt\n58+fj4+P51aV08C6ibVabWFhYVFRUWVlJUmSIpGo4Wf5kBSCoIbSSJJUKBS+vr4BAQGurq5SqdRg\nMCgUisOHD/fp04dVtezx66+/vvjii/Unvn3nlsFPd61EZi3KNFBpUaGByoA6Evo6VAPUYYQLlATE\nIrjI4CmFhxxeMnh5INwNIRIoODwdh4LFceLS0tKsrCyVStXQstSAPy0NzQ0n/PcAACAASURBVF1T\nU5OTk5OdnV1bW6vX62Uy2V9//cVfBwMY/cKwQv28hFc+J0lSLCEO5H9EorUtBcrh44Zgd4T5ooMP\n2rkhmCmpvIMVE6tUqjt37qjVatqHFGZCvTEnJ8fFxWXx4sXR0dEkSfJryVotSgtxpQCXCnFVg/LI\nlzClpO3ahBS9niwv0NheeC1Ki3EzHX8BkMErAN1aoUcAusnBZTgv+8Nwd0Kr1d67d6+goMAW+zbk\nxo0bBoOhS5cuAFxdXWNiYhzz6UZD1MjNQmIuTquQ/nfH4B9+/+TuxvfSRk4Lm/ptR3bqJzwRGYL+\nrTHYFUHsVOFYMGni0tLSlJQUvV5vos9gKQ1bX+pFWFhYeHi4AzbJemgzcfg+DpQh1fSRG99Ly76l\nnr+9O9uSfNA2Ao+GYagIzpwUhzETp6enZ2ZmMlKUaQiCcHd379Spk+NkK6pF6T3sScdfGqjMfMvJ\nTXkDJtipmZTBqw2eiMTjztrNYMDEJEkmJycXFxfbbbROJBJJpdK4uDiFguM7dA3KU7HlHvYYUGdj\nURLICUgIEC5wrd+ohRqAAXV62NqHFkPaBk/GYpwMjt4fsxRbTWwwGG7cuNFoCMIOEAQhkUi6dOni\n6ura/NEsoIc2FZvuYKcONRa9kYDYDcFuCHFDiDtCXBEsh48CvqaHzHSoqUFJLUrVyFEjpxLZVchV\nI5eEZT03CRTRGNUWz4nhiPNXrcMmE5MkeevWreLiYgYFmQ/l4x49eshkMjtXXYKky1hRiSwzj5dA\n7ofOPmjni47eiJVAzogMHWrKkFaCWyVILsFNHWrNfKM7WnfHLF90YEQG59hk4tu3b+fl5dm5DW4I\nQRByubx79+52C91Xh+okrEnHHtJo2MEYJVqFYmAr9PBFBxHLU7cNqCvBrQJcysaxajQf5ZsA0QZP\ndcSLTvDQxHoTFxQUpKSkMKvGCgiC8PHx6dSpkx3qUiPnDD5qtgF2gWsw+oVhmD86A/YeRSFBFuNG\nJg7l4kwdmgmT7IHwPnif7w9KrDRxdXX1pUuXGBxKs5Ho6OiQkBBWq8jHhQtYatoWbgiJxjNhGOYI\nzZsONRk4eBd/qpFr4jAXuPXC263Qw27CGMdKE1+5coWaC8G4IOsgCKJXr15yOTN9TWMycfgSvjJx\nF6WEfztMCsdwAmKWNFiHAbr72J+CjbUoa+oYAuKemNsag+2oi0msMXFeXl5aWhobaqyGIAhPT0/q\nwR7jpGPvVXzTVCdYAkUHPN8GTzryAwUdau5gRxq2NTWWQkDUDTMjMMLOwhjBYhMbDIazZ8/W1dk6\nLMoGXbp08fLyYrbMfJw/gw+bcnAg4rthugL+zFbKEtUovIKVBaBPe0qA6I33gtHXzqpsx+JJ8bm5\nucYreB0BgiDS09OZLbMSWRewlNbBBMSd8Eo/LOKLgwEoEdAfH3XESwTd506CvIjPzR83dBwsMzFJ\nkllZWY7TFW4ISZIVFRUVFRVMFahDzRl8WIdq411SeAzAJ7EYa//BB5sh2mJ8f3zsAjfjfTrUnMXH\n5o83OwiWmbi0tNSRF4cRBNFUpBUrSMJa2vt6BfwG4XN/xDFVkf0JQLfB+EIBX+Ndlci+hbX2l2QL\nlpk4Pz/fAaeP1UOSZGFhISMDfyrcuweatGJSeAzAp+7gwTJV07ijdX98IoWH8a572FOB+3ZXZD0W\nmNhgMJSUlDhmX6IekiRLS0ttL+cGfiKhb7RRBEkf/J+lDiaaoOES6KtXr86fP79Hjx5ubm4ymSw6\nOvo///lP/QpZisuXL8+ZM6dLly5KpVIul8fExLz55pu2zBz0QFhvLDAeEzRAdwOrrS7W/lgwOlFa\nWnrjxg1W1dgOQRCBgYGxsbG2FFKBjEOYZrw9Dq9FY7QVkmi3Dx48+OjRoyaO8fb2TkxMjIuLM3GM\np6fnkSNHune3fmpyGrbdpLEsMRzfeYAfq8otaInLy8sdME9RIxhpie9il/FGH7SNwijrJDWCSh05\nZcqU+mO6dev2+eefX7lypaqqSqVS7d69OzIysqys7K233qo/Jj4+/ptvvklJSdFoNCUlJfv37+/a\ntatKpWp4jBXEYLQXoo1V38WfthRrTyxoia9cucLgvT+r9OvXz+op8yQMezBRi8pG2wfhc0amfWVk\nZERGRioUivz8fHd396YOo5KIKRSK6mqa4RGKu3fvRkdHmz7GHIpx4zjebrRRCo8n8BvBh+EXC1pW\nG6+UPbFFajnuGjvYG7FMTVxct24dSZKjRo0y4WAAHTp0AGB6QSH1RW3VqpWNkvzQ2bgx1qJChXs2\nlmwfzDWxTqdzzGcctNTUWDZRvSFFuGa8MQzDbJDzEL/++ise7kvQsnnzZgDdunWj3atSqY4fP/7c\nc88BmDNnju2qaE+Q9lI4IOZOcnXk4eFGEASh0Vi/mEcNmpCVAehqg6J/OH369O3bt4OCgkxnGk1K\nSpo7dy5BEO+++26jXQ1v72JjY1evXs1IMj/aE+TL0ztzW+KGcSkdHIIgbFFbi/JGW0SQMDUwvHbt\nWgCTJ08Wi5uc7JaUlPTII4+oVKp33nlnwIABJkrLzc29fv06I+2LO8KMx9o0RpfCMXFCE5MkaYta\n4xXLUngw8nhZo9Fs2bIFJvsSZ86cGThwYF5e3tSpUz/55BPjA6jxDWp0IiYmZvny5QsWLLBdGwFC\nZvTgw9lMLGA7O3fuLC8v79q1a1MxEffs2TN8+PDS0tLXX3/9f//7n4mHoz4+PiNGjNi+fTuAjRs3\nsqWYJ5hrYhM/f44GlSPM6rcbr2jXosI4kI8VUH2JpprhNWvWjBo1qrq6+s033/zuu+/MebxPdSQq\nKxuPpVgBCVKDxuOnMjA8r5UlnNDEJEnasm5UbvTJGaCrgK1xYQoKCg4cOCCRSCZNmmS8d9myZS+/\n/LJOp5s5c+aqVatoHTxy5MidO3cWFhbqdLqioqLdu3ePGTMGgOl+s5lUIN34MTtfTGzuh237snjq\nMVViYqJFW6zDFrVudPdwRbjmgXAbFGHDhg06ne7xxx+nHdadP38+9WLFihUrVqx4qOqiIio1yYED\nBw4cONDojb6+vl9++aUtwh7UQjea5u5kj53FYrHjhI0yDRXe2Oq3+4NmjVMmjtqgCGiuL2EOp06d\neumll8LDwyUSiaura+fOnefNm3fjxg3qsYiNZOCQ8Ua+TDe14LHz1atXVSpzY41xS//+/a3uUTT1\n2HkglvrBHoEB7E8hrp5E4wFp53zs7OXl5fgTgAAoFApb+sQERCH4l/H26/je0phRvMAA3XX8YLw9\nBAN44WBYamLHCTTRFCKRyMfHx8ZCovCU8cZy3L2DHTaW7IDcwR90U+CJKDxtfzHWYYGJPTw8HHlZ\nBwVJkrYvePZAOO1j2CSsKYajz6i2iCJcv4Vfjbe3Qg++TCaGRSYWiUT+/v4O7mOxWOzrS7N0zFI6\n41XaJQ9n8Ukl3eQKPlKBjHP41IDG87pEkHTGK5xIsg7L+rgBAQGOvDyJIAg/Pz9GvmaeaBODZ423\na1GRiDnNxoJ3fEqRcgzztEYPOADEYIwHIuyuyHosM7GPj0/DDHOOBkmSQUGMhV9vhwm0kfbqoD6F\nhUW4zlRF9qcQV07hA9q4cu5o3RbP2V+SLVhmYoIgwsNtGvNnD4IgvLy8PDxolu9ahwSKvljoAqXx\nLi0qTuL/0rDNnACvDgUJMhWbT+H9OqiN97rArS8+YCp8st2weMgsMDDQMZ96kCTJ+BfMHa3jMb+J\neDn6m1h9HAl8mXQLQI3c45ifhLW0Y4UExL3wjhvYDS7KBtYEFCwsLExOTmZDjdUQBOHr69uxIytJ\ntbKQeBGfNzVILIJLW4yPwRhHbsB0qL2DP1KxpancHwTE8ZgfSjdA7vgIoV3NwrSPAcjh0x6TwjGC\n7YjwlmJAXQYOJmOD6dCu/HUwnCPINkEQUVFRbAfZLsDFC1hm/Di6IXL4UMm2HCFDkQbl9/BXOvaY\nsC8AKTziMb8VWE+qxx5CugMLqEL+OXxSjrumDxNDGopB4Rjuh05cpTvIwMFsHG82MZkXovvgPSUC\n7KONJfideEYkEslkMnsmntFDewM/WZh4prsvOrAdgtuAumIkFeJyNo5Xo7DZ46nEM53wihPkAmMg\nBRhXAdpEIpFEIunevTtHKcC+Nv/RnQRyX3TyRXvWUoDdKsZN8xM2CinAHqIlJ2O8iz9TsYV2wNUE\nfydjDHZDqDtCXBEkg5cUHjJ4NJXvg4RegwotKmpRVoW8BskY84yXY5hGAkUMRsdivBM0wPUwkxY3\nJSWlsLD5nzCmIAhCJpM5QlpcLSpTseUu/rQ9LS4AF7gChLRB+Gst1ADZbCYvcxBD2gZPtcU42nCu\nvEZIUM4AViQotydCgnILKC0tTUlJ0ev1LA29UTN7wsLCwsPDHXAynR7abBzPxOFiXG/qtq+iWKtw\nk7jImVlbUFdrqFHrPPzoOwYECH90DcOwUPzLkTM72Q6TJgag1Wrv3btXUFBAEAyXDMDV1TUmJsZ0\njD1HoBpFmTicgxMqNE6E89WkqxVF2oUHezFS0aLh571ayd7a0GhRIOGJyFAMDMNQBfwYqcjBYd5q\nAFQq1f3796l4xoy0yjKZLDw8PDAw0AEbYBPUorQAlwtxuQjXalF2+1z5gr5n3vmzR88nmRmXvbir\ncMkzlz670C+qh6cc3v7o2grdA9DdWbsNTcGKiSkqKioyMjLKysqsq4JqyxUKRXh4eEBAAL/sa0w1\nih5/9MkKdenXJ8dUIsv0UzRzkMPHHaEz+//u7eG7Z+8uHmUiYxwWTUyh1WoLCwuLioqouRaUF2kr\npTJZULHG5HK5n59fQECA6SC+POLo0aNDhw49ceIEFeukDtVq5NSipAbFGpTXoEQDlR4aEvqGScdc\noCQgFkMmg6cCvjJ4KeAnh68bQqg5oidOnBg4cOCRI0eGDBnC2blxDesmrkev16tUqqqqqpqaGrVa\nrdFoDAYDVbtYLJZIJG5ubgqFQqlUenp62v/5BauQJNmnTx9vb+99+/YxXvjIkSOrqqpOnjzJeMm8\nwTijhADj/PnnnwRBXLx4kY3CL168SBDErl272CicF9ivJW6xGAyGrl27tm3bduvWrSxVMXbs2LS0\ntKtXr/IiMAjzcP0tcn42bNggkUhSU1PZqyI1NVUikWzcuJG9KhwZoSVml7q6ug4dOgwcOPDnn39m\ntaJXXnnl5MmTSUlJjvMg0260yF8fO7J69eqsrKyFCxeyXdHChQszMzN/+eUXtityQISWmEWqq6uj\no6PHjx+/fPlyO1Q3a9asbdu23b59W6mkWaHtxAgtMYt8++23arX6vffes0917733XmVl5XfffWef\n6hwHwcRsoVKplixZMmvWLCpEth3w9/efOXPm4sWL+ZL4lSkEE7MFFcB93rx59qw0ISGhvuqWg2Bi\nVigoKPjyyy/nz59v5zl3np6eCQkJX3zxhT3XKHCOcGPHCrNnz6busdgLhdEUNTU1sbGx48aNa0Ht\nMcfj1M5IRkaGTCb79ttvuRKwatUquVyemZnJlQA7I7TEzPPqq68mJiYmJydz9dyhrq6uffv2Q4YM\n+fHHHzkRYG+4/hY5G7du3RKLxevXr+dWxq+//ioWi2/dusWtDPsgtMQM89xzz6Wmpl6+fJnbuTgG\ng6F79+7t2rXbtGkThzLsBNffIqfi0qVLBEHs3LmTayEkSZI7duwgCOLSpUtcC2EdoSVmkscff1yl\nUp06dYprIQ/o16+ft7f3nj17uBbCMlx/i5yHo0ePAjh+/DjXQv7h2LFjAI4ePcq1EHYRWmLGGDBg\ngFKpNE6/zC2PPPJITU2Nky9e4vpb5CTs3r2bvQVItnDhwgWCIPbs2cO1EBYRWmIGoBYgxcbGbtu2\njWstNIwZM+bOnTtXrlxx2sVLXH+LnIHffvtNIpGkpKRwLYSelJQUiUSyadMmroWwhdAS20pdXV3H\njh379+/vyKsqXnrppdOnT9+6dctu0cjtiZP+vtiRNWvWZGZmLlq0iGshpvjwww8zMzPXrFnDtRBW\nEFpim6iuro6JiRkzZsyKFSu41tIMM2bM2L59+507dzgP6sw4QktsE999911lZeX777/PtZDm+eCD\nD5x18ZJgYuupqKhYsmTJjBkz/P15EMzP399/+vTpTrl4STCx9Xz55ZcGg2H+/PlcCzGX+fPnGwyG\nr776imshDCOY2EoKCwu/+OKLhIQExw/6XY+Xl9e8efM+//xzJ1u8JJjYSj777DNPT89Zs2ZxLcQy\nZs6c6ebmtnTpUq6FMArXA9W8JDMzUy6Xr1q1imsh1vDNN9842eIlYYjNGqZOnXrkyBEOFyDZQl1d\nXbt27YYPH/79999zrYUhuP4W8Y/k5GSxWLxu3TquhVjP2rVrxWJxcnIy10KYQWiJmyEzM7Oqqqp9\n+/b1WyZOnJicnMz5AiRb0Ov1Xbp0iYuL27hxY/3G5ORkV1fXsLAwDoVZCdffIkfnl19+EYlEU6ZM\nuX//PkmSly9fJgjijz/+4FqXrWzfvp0giMuXL5Mkef/+/SlTpohEojVr1nCtyxqElrgZ3n333aVL\nl1L5cqZPn37z5s2qqqrTp09zrYsB+vbt6+7u3qFDh1WrVgEgSfLtt9/+5JNPuNZlMU44p4lZkpOT\n6xPkfPvttwaDYdy4cWVlZd7e/M4VV1ZWFhERsW3btmPHjul0OgAEQSQnJ3Otyyo4/iVweGJiYhpd\nMRcXF3d39yVLllRXV3Otzhqqq6uXLFni7u5uPLQSGxvLtTprELoTpjAYDAqFQqvVGu+SSCRBQUE/\n/vjjyJEj7S/Mavbt2zd16tS8vDyq9W2EVCqtqanh3Q0rz+TamaysLFoHAyAIwt/fPz4+3s6SbKRX\nr15+fn5NpWfVarXZ2dl2lmQ7golNkZKSQrtdLBZT6UF9fHzsLMlGfHx8Tp48OWTIELFYTHtAU6fs\nyAgmNkVaWppxx1EkEk2ePHn37t08TY2hVCr37NkzceJE426Di4tLWloaJ6psQTCxKW7fvt3ol5cg\niBkzZqxZs4bXi9UkEsm6detmzJhhfHa3b9/mSpXVCCY2RVJSUqM+8aeffrp8+fKm+pQ8giCI5cuX\nf/rppw03arXaW7ducSXJanjcnJhFSTFKi//5lzSgpgaaWuj1EIshEsHDEwDcPeAXAF9/+PjCxw9S\nKfXuhh1EgiBWrFgxffp0Ts6DJd555x1XV9dZs2bVD1I9NFSs1f5z9YoKoK4EgAoVDIYHF1Amh0IB\nQgRfP/j4/fOvfXEuE+dm4/xpZNzD3TTcScXdNJQUW1yIXIGoWETH1oa3ycvLA0AQBEEQa9euff75\n55nXzDUzZszw9vZ+8cUXqTHX3Nzc2g/flj+4hmnQ1Fpcoq8fotsiui2iYhERhfi+CAphQfg/8H+c\nOCMdR/fj1DGcP4WcLAYLTtKjUzkIQAz82qvzhLFjMXQkuvZEE/f1vESvx5ULOLL/t23bXrhw0wCQ\nQJIXOjB7iqFh6NUf/QdhyEiERTBaNMBXE+v1OH4Y+3fhyH7cY+tGZLsWYyqhJLDHHYPrhyi8fTBw\nGIY9hidGw9OLpapZp7wMe/7A4b04fhjlZdS2xDo8UYlqEtvdMVrKWtVRsRg6EiOfwr+GMtUc8M3E\nl89j63rs2IKiArar+qwGn9bgLw/0p+1zSWUY/hienYgnRoMvU+Pr6rB7O37fiCP7QPcQ56QOT1Tg\n/xSYb4fQFAGBGDUe419A1542lsQTE+v1+GsHvv8aZ0/Yrc73qzFJhvbNNhYhrfHqdLzwGrwceEpQ\nWSnW/YCfVyG3mQdyyXr8psFH9hwB7zcIr8/CY8/A2sfdDm/iujpsXI2vlyDzvp1rriahNH8kTemK\nF17F7HfhF8CiJisozMeXn2DDatRUm/kOy06cKcLb4K0FmPgSLB+Ad2ATGwz4fSM+W4T7d615u1SG\nqBhExSIsEkEh8A+AXwAIAlIplK4PjqmrQ5UaANSVyMtBcSGyMh4Ma/zdU7QMpSumzsT0BIdolctK\nsXIpflxpvn0fwtsHUbGIbovQMPgFIDgUrm4A4Or2T/epugpaLUgSxYUoKkReNjLv404q7t2BVmNN\npW1i8PYijJ5gUavsqCa+dQMzXsa1Sxa8xdUN3eLRuz/i+yKmPVqHW/3zBAAlRbidiisXcOE0zp9G\nfq4F7/ULwBf/wxOjra/ddn5bg/fnWPZVDApBr37o1R/d4hEVa9Nwr16P7AykJePCGZw7hSsXUF1l\nwdv7DsSKnxEZbebhjmdinQ4rl2LZh7R3Ho0Ri9GjN4aMxJAR6BbP4uBXxj0cPYAj+3HiCCrNCwP1\n9FgsWYmAQLYkNUV+LmZPxUHzks14eGLgMAwZgcEjEB7JliS9HpfP4+h+HD2Ay+eh1zf/FrkCCz7C\nG7PN+UwdzMQ5WXjxWVy92PyR7TpiwosYOxmBwezLaoCmFn/twOZfcXR/8x+Gpxe+34jhj9lFGQBg\n/y5MewEVqmYOk0gwZCSem4LHnobMvtmn83KwdT02r0OqGc+3e/TGmt+bf1Zi/3n4TXLmBNmuFekL\nU3/BcvKtV8nrl7nWSpKF+eTyxWTn0GYEB4jJr5eQBgPregwG8vOPSX9RM3q6hJErPiOLC1nX0yzX\nLpEzXyGD5c0I7hBEnj9tuiSHMfHW9WSQ1NTJhCjI9+c6xNVviFZLbljdvJWnvUDW1bEr47WJzWjo\nFkFuWsuuDCsoKiDfndXMRx8kJbebytXgGCb+9SdTTUgrCTn3DTI3m2uVTVNTTS5fTEZ5m/okXh5L\narWs1K6pJZ9/xlTV7QPJn74hNRpWameE+3fJ1yaSAWJTP2i/NRlOwAFMvG0D6Uc0qX5QV/IaTxK7\nlpWS018yZaYXnyX1eoYrNRjIl8Y0WaMfQc76N1lexnClLHHlAjkwrslz8ReRW36lfR/XJr56kQxR\nNPkBfPSOw/38Ncv+Xaaa5CUfMFzdZ4uarCvGlzy0l+Hq2EarJT+Y12SjFiwnr1wwfhOnJi7Mb7I3\nGeFB7t7OpTZbSL9DDuzS5Dfzrx2MVbR7e5Of95DuZEY6YxXZmR1byHB3+vOKa00WFTQ6nNMhtimj\n8dcOmu1+Afj9ADp2sbsg5qiuwuSnceIIzS4fX5xJYWDmeFEB+nVAWSnNriEjsO4PKHi5BPAB1y9j\n3Ej66eBPj8XqrQ03cLc8afd2ege3CsKfifx2MAClK37bjWGP0uwqLcFHbzNQxbtv0Tt4xJPY8Ce/\nHQwgrjt2HIV/K5pdf27Dob0PbeHi14IkNbX0HYkQBW2nxzRNXQeCIJp6y+TJk41P/8qVKwkJCd27\nd3d1dZVKpVFRUW+++aZNwair1OSgrvSdiotnrS+WJMmTR+l/bYf2IGssjkvE1AW8dOnS7Nmz4+Li\nFAqFTCaLjo6eNm1aRkaGNSdIcfEs/UByz+iGQz0cmfi3NfSfwdb1VhTW1GcwePBg2uMPHTpUv9Kz\n2XK8vb2vXbtmzTlSZGWQsX70IxW2MOEJmjLbBpDZ1nzlWL2Anp6ely7ZML7UlFW2//ZPvdaXbguD\nu9HIemkMY8UPHgxg9erVxrtqa2tjYmJeeOEF48+gW7dun3/++ZUrV6qqqlQq1e7duyMjIwEMGTLE\nJjWb19GcbICYvH/PygLvpNIPq5t8ImAR1l3A+Pj4b775JiUlRaPRlJSU7N+/v2vXrgD+9a9/2aRm\n0lM0Jzuid/1+Lkx88xp9RyI/l5Hi79+/TxCEUqmsqKgw3vvBBx94eHhQK0DRXG/q3LlzABQKha2a\nnh5Mc8qfLbKytMXv05T27HBbRf4Ngxfwzp07DFzA7Ez6TkXyTWo/Fzd2xw7SbBw3Ga2CGCmeSkQw\natQod3f3RrtSU1OXLFny4YcfBgaaNbmsQ4cOABhI8jWT7k6O9jqYQyLdG6cnWFmaEQxeQCp+UqtW\ndPdn5hPSGmMn0Wyvvw42fUWs47nHab5VzD2Wo4Kx7tu3z3jXkCFDOnXqVFdXR/7dgTNd1E8//QTg\nscces1WTwUB2j2x8yoEuZCVNU9cMqnKylaRxUT2iGJxjxMgFLC8vP3bsWJ8+fQCsWLHCVk2Xz9N4\nZuKT1E4uTGw8Va1tAFOfwalTpwAEBQXpdLpGu9auXQsgMTGR+m+zJr5586anpydBECdOnGBA2ZzX\naT6GM8ctLuf0MZpyEt5kQCFJkkxcwIZtZWxsLG3H2mL0epr74/aB1E67dyd0OpQUNd4Y3xcMBYai\nLvTkyZMbRX0sLS2dN2/epEmTBg0aZE45SUlJjzzyiEqleueddwYMGMCAsl79aDYW5FtcTn4ezcb4\nvhaX0wRMXUCK3Nzc69evNxUe1wJEIvTo03hjceGDKd0MfEssoiCPpiGZ+wYjZdfW1np5eQG4fv16\no12vvPKKu7t7bu4/947UdaAt5/Tp01TM1qlTpxqY+pk+eoDmxH9caXE5P6ygKefYIUY0MnUBSZKk\nRie6desGYM6cOQyImz2V5sQL80kOuhPpd2ikvD+XkbI3b94MoGvXrsa7TIcAbHhkfczW119/nTEH\nkyR5/jTNia/4zOJyvl5CU86FM4xoZOQCNiQ9PR1AYGAgA+Lem01z4vfvkhx0J7x9aTaWlTBSNvVT\nOGXKFONdpHlTRNasWTNq1Kjq6uo333zzu+++YzL6ZSndNADaq2Eab7qw3g5zARtBdSQqKyttFAYA\npXTn6O0LDuZOeHjWx5z8h3SrFuU/TEFBwYEDByQSyaRJNMMxxl/shtup18uWLXv55Zd1Ot3MmTNX\nrVrFcPxW2nP0tzxIBW1ci/v3LC7HCNsv4MiRI3fu3FlYWKjT6YqKinbv3j1mzBgAzNxUpN9pvEUm\nfxDUlIF23lJ6Rjf+UQiSWfHEvxFffPEFgMcff9zM440/GxMXsKioyEZ59Isvblr+QPv6ZZpybHyI\nTZIkaxfQ19c3KSnJVnFVapolTL0e5Hri4mFHH6PvpVaDw/tsLNXEHvdmCgAAIABJREFUTyH3VKhw\n/HDjjV7eaNfR4qLad37Q/DTk+GHLAjvQYfsFPHXq1EsvvRQeHi6RSFxdXTt37jxv3rwbN25Qz4xs\nYv8umhAOff/14IWtXxEr2PIrTVvyNP1cEyfh2y9pTnnKaCtLm/w0TWk/r2JUsYPxWD+aU/59I7WT\ni5Z46KM03eJTibY3xg5KeRlWfEaz/ZEnrCzw0adpNn71qblRXXjH3p04b5SHWCrFoEeol1yY2NcP\nT4+j2T7/P6itsbsa9vnvuzSBaL198OwEKwscM5Em1lteDha/b2WBjkx1Fd6dRbP9mfH1q2M4Wtnx\nKl3mi4x7SHjT7lJYZu9OrPuBZvsLr/0T19BSFEpMeoVm+0/fYP8uK8t0WBLeRFYGzfY33vrnNWe9\nHNppQL4gv/2SM0mMk3SdfsFjGy/j1Y6WkZ9LRnjQlBzhUT9B0RlYuZTeJJOfbngUdybOziTD3Gj0\n+RHkqi84U8UgF8+SbbzoP4N1PzBQ/i/f0Rce5U1ePs9A+Zyz9EP6EwxzI3OyGh7I6ZJ92ieolI+t\neB7rUFw4Q0b70J/dyD7MhFDR6chHetFXEevHex9/8V/6U/MFuXJpo2M5NbHBQP57fJNaJz3Fm9A1\njfh6Cc2UX+qvcyhZkMdYRfm5ZKcQ+opaScivlzBWkT0pK6VfQUj9vTbReNYu1xGAKlRk3/ZNKu7T\nztZVwXamuJB8ZVyTpxMkI8+dYrjGU4lkoIupj7ykmOEaWeXcKbJXbJOnMzCOVFcav4lrE5MkmZFO\ndg1vUneAmFw0n6xQca2yOQwGcvtvZNuAJk+klYTcsYWVqrdtMBWKr30guWOLPWLL2oiqnPxgnqkT\n6R7Z1FpuBzAxSZIZ6WS3iCbVU52877923LiOxw+Tw3qa0s+egylM+9gX5CO9yJNHWRRgCxoN+d1X\n9IEN/nFwGzKryfgVjmFikiQz0sn+HU2dhi/IbhHkDyvIKjXXWv/GYCAP7SWfGdKM7DA3cs8frIvZ\nsYUMVTaj5Nnh5JH9rCsxH3Ul+d1Xpn6H63sRTTuY5DgWWyPUlXhzCn1sq4b4+OKF1zD+BbS1eVqJ\n1ZSVYsdmrPkfkq43c2R4JNbtQMc4e6i6cQVTRtM/GmhIxy54ZRqeGc9liqeUJGxeh/U/0UfiasjT\nY7HylweJm5rAkUwMgCSxfDGWfWRWAqlu8XhuCh4fheBQ9pUBAKqrkHgQW9dj/26zFI58Cit/gY/l\nM9+tpqQI/3kJh/5q/kipDI89jXHPY+Aw658dWkpOFvb8gc3rzMqLJZPj7UWYMb/Z9ZcOZmKKtGTM\nfg3nTpl7fLuOGDICA4agZ18Gok02QqvBlYs4ewJHD+D8KbNyOgHwC8DiFRj9HMNizGT7b1gwi2ZB\nLi1SGXr3x9CR6D0AXXtAKmNYTEkRLp7FiSM4sh9pyea+q88AfPUjYtqZc6xDmhiAwYAfV2LJBxbP\nzIpph/i+iG6LqFjEtENEFM2MOROQJHKycDftwd+VC7h6ybK8ggSBZydi8Qq7NsDGlBRjwUz8sQkW\nfb5SGbr1fJDHjvoLaW1ZvVoN7t15cPVup+DCGdxJtawED0+88xFenW5+GkJHNTFFaQlWfIafvrF+\ndptYjIBA+PjBzx9+AXB1eyijqK4OajW0GpQUo7QYxUUoyLNpJt3wx/F//0XnbtaXwCzXLuHT92ya\n4ypXoFUQ/Pzh4wdfP0hlcHOD5OGMolVqFBeiuAilxSjMNytNHS1KV7w6HTPm068jbBrHNjFFfi6+\n/QLrf24+PRtXiEQY+RSmJ6B3f66l0HH2BFYsxaG/YDBwLaUJPL3w/Kt4c451ocz4YGIKdSV+W4N1\nPyD5pj2r1QOmUlr6+mHsZLw63fwcrpxx7zZ+XInfN9IvGwbQ7MmyQYfOePF1THjR9PiDafhj4nqu\nX8amtfj9N3NvXGxgbCW6SvCewmiHVIrhj2PCixj+uGV9bs7RanFwD35bg8N7UVfXaOfHNbimw7bG\nYQRZwC8AYydhwovo1NX2wnhoYoq6Olw4jaMHcPQArl9m6YfyvzX4rAa3vRBI3WOEtMaQERgyEoOG\ncznIyghlpUg8iMQDOHoAudkA8gyIKccCBf7P+EvLCCIRuvTAkBEYMgLx/SCRMFUwb03ckJIinD+N\ny+dx+TyuXoSqnKmCayQuseXE0x1iVyXMRY/eiG3PVMmOReotXDr35tIvdqWkpXlBoWvcQluPlze6\nxaNbPLr3Qnw/5gdAATiJiRui1yPrPu6k4U7qg1Ge0uIHgw9Gv54P4eMLX3/4+CK4Ndp3QlQsomMR\nFfv92nUzZsxISkqiAp46K8nJyXFxcatWrZr6wvO4m4Y7abibhpSbyM1+cPWa7kkDgIvLg+ELHz/E\ntEN0W0S3RXQsQsMhZr2b7XQmNkGVGnV1qK2BpvbBFkL0IIZD030DvV7fuXPnTp06bdmyxS4quWHc\nuHG3bt26fv262ITnyssAoEIF8u/Om0wOueKhUUtOYHWCh3Pw+++/EwRx+nQzud75y+nTpwFs387X\n7JctqSW2gQEDBojF4mPHjnEthBUGDRqk1+tPnjzJtRBr4fpbxA9OnDgB4K+//uJaCPPs2bMHADPR\n8DlCaInN5emnn75///7Vq1dFZj/Td3z0en23bt0iIyN37tzJtRbrcZ7Pg22WLl2anJy8fv16roUw\nyfr165OTk5cuXcq1EJsQWmIL+Pe//3348OGUlBS5XM61FgaoqamJiYl59NFHqSRR/EVoiS3g448/\nLioqWrVqFddCmGHVqlVlZWUfffQR10JshutOOc945513vL29S0pKuBZiKyUlJd7e3gsWLOBaCAMI\nLbFlvP322yKRaNmyZVwLsZWlS5eKRKK336ZLdco7uP4W8Y/PP/9cLpdnZlqTz95ByMzMlMvlX3zh\nFDHvhCE2K9Bqte3btx86dOiPP/7ItRYrefXVV48ePZqcnCzl1zzSpuD6W8RL1q5dKxaLb97kZRDV\nmzdvisViKgu5cyC0xNZgMBh69uwZFha2Y0dzUTIcj2eeeSY7O/vChQvO89SG628RX9m7dy94+LT2\n6NGjAPbt28e1ECYRWmLrGT58uFqtPnPmDMNpG1mDJMm+ffu6u7sfPHiQay2MwvW3iMdcuHCBIIg/\n/mA/zhpDbN++XSQSXblyhWshDCO0xDYxYcKEq1ev3rx5U8LcijGW0Ol0nTp16tat22+//ca1FoZx\nlq49RyxevDg9PX3NmjVcC2meX3755f79+59++inXQphHaIltZcaMGdu3b799+7ZSqeRaS5NUVVXF\nxMSMHTt2xYoVXGthHqEltpUPPvhArVZ//fXXXAsxxddff11VVfX++86YrVEwse34+/vPnTv3s88+\nKykxuR6YO4qLi5cuXTpv3jx/f3+utbCCYGIGmDt3rkKhcNju5qeffqpUKufMmcO1ENbgenjESfj2\n22+lUundu3e5FtKYO3fuSKXS7777jmshLCLc2DGDTqeLi4vr2bPnunXruNbyEC+88MKlS5du3Lhh\nKqAE3+H6W+Q8bN26VSQSXb58mWsh/3Dp0iWRSLRt2zauhbCL0BIzSb9+/Tw9PalpFY7Ao48+WllZ\neeqU2YkjeArX3yKngoqucujQIa6FkCRJUhMkjh8/zrUQ1hFaYoZ58sknCwoKzp8/z+2sIJIke/Xq\nFRgYuGvXLg5l2Amuv0XOBnULtXnzZm5lbNq0SSKRJCcncyvDPggtMfO8/PLLx44dS0lJ4Wrxj1ar\nbdeu3eDBg1evXs2JADsjPOxgnv/+978FBQUcrsD74YcfCgoKPv74Y64E2Buufwqck4SEBH9/f5VK\nVb8lIyPjwIEDbNS1f//+hkuvVSqVv7///Pnz2ajLMRFMzAplZWW+vr4LFy4kSbK4uHjOnDkuLi7j\nxo1jo64xY8a4uLjMnTuXCumycOFCX1/fsrIyNupyTAQTs8XSpUvd3NwWLFjg6upKTZmPjY1loyIq\nD4NEInF1dV2wYIGbm9uyZcvYqMhhcfT1CDyltrZWo9HU1dUtW7ZMp9NRG+/du6fT6ZhdA6LT6dLT\n06kXOp1u2bJlYrG4tra2trbWOaIemgXX3yJnQ6fTff/994GBgbQL4lNTU5mtLiUlxbgWkUgUGBj4\n/fff63Q6ZqtzTITRCSbJycnp3bv366+/XlhYaKBLrUfrOVugLdBgMBQWFr7++ut9+vTJyclhtkYH\nRDAxk4SEhIwZM4YgCFoHS6XS5ORkZmtsajTaYDAQBDFmzJiQkBBma3RABBMzzIIFC9avXy8Wi40f\nO+v1+lu3bjFbXVJSkt4oqz1BEGKxeP369e+88w6z1TkmgomZZ9KkSfv375fL5Y26xXq9/tq1a8zW\nde3atUYmFolEcrl8//79kyZNYrYuh0V47MwWFy5cGDFiRGVlZUOTKRSKqqoqpuYGkSTp6upaU1NT\nv0Uikbi5uR04cCA+Pp6RKniB0BKzRXx8/OnTpwMCAhqOqdXU1DB4p5Wdnd3Iwf7+/mfOnGlRDgYg\njBOzSPv27S9evDh06NC7d+/WjxYnJyeHhoaisgJ305B6C0UFKCp8kIBaUwudDupKUPeFIhHc3CGR\nQCZ/kDY5oBX8AtCuI6Ji4ebe8DZRIpFER0cfPnw4ODiYk5PlEMHE7BIcHHzmzJmRI0deuXxZp9e7\niETJs6c9YqhCYb6tRbcKSobCRSSqMxjEYnH37t337dvn7d1kkmonRjAxmxTkIfGg95H9h8rvPyXS\nn9ZDbzCk3L0LRrJ5F+SlVEFvgAToL9L/WX7fY8EMDB2JwY8gIPD/2TvvsCiur49/t7C0BREQBLvS\noqKoYFdEscYaW2JvPxOTmBBjS7PFFlvUaGyxgL2LXVREFBQ7Ih1UFOnS28LuzvvHGiS7s312Z5d3\nPk+eJ3Lmzr1nZs/cuXPuvedQ0YDRwHzY6YCXyTh9FBfPIO45/r29AgJflOJsFXqY4K41Ne30KEKk\nEKN4OMqHac23IouFNu0xbDRGf4HmrahpybBhjJg6BJU4HoRDe/HkAelxETCnDMFVyKbone9YgBE8\n7LCE3M34nbpg0iyMnwyeKTVNGiSMEVNBdib2/Y0Du/A+V2nZLZWYbApbrZ1s7wkcEuB7VRb52Dtg\nxhxM+6quDjMYI9aOvBxsXoN9O1AlUP0kAiCxYQtL8HhgsWBt81FYVAAAAgEqylWqRAGmZpj5Db5f\nBLu6FpGNMWJNEVRi40rs2oKyUvVO5HLRwgWt3NDKDS5uaOkKRyc4NYIlX9FZZaXIfIfsTKQmISUJ\nKYl4mYxXKZCZc1YC3wpfBeCHn2FadxZqMkasEffv4of/IVnlJWkWlujuC59u6NIDHTvDghL3BFBW\niicPEBWBR/cQGY7yMlVPdPXA5n/QpQc1atANY8RqUlKM33/CgZ0gW6cmTdPmGDkefQeicw/oeudz\nlQBREQi9hrPHkP5GeXk2GzO/wS+rwLfSrWK6hzFidUhNwqQRyjvgejYYMhKfT0V3X+g/hIpYjMjb\nOBaIy+dQXKSksEcbHDyHFi560UxXMEasMjcu48uJKCpUVKaVG2Z/h8+nKhng6ofSEhw9gN1b8SpF\nUTGb+th9FH0H6kst6mGMWDWOB+G7GYq+oho3xY+/4YtpMLQ0StXVOPQP1q9QNNHN5WJ7IEYb69JN\nxohVIGg35s+ROwjmW2HRcsz82qAnFMpKsXMztv4h15fC4WDTbkycoV+1qIExYmWEXMSkEXIt2H8I\nNu5Eoyb61UlT3qbhxy8Reo38KJuNA6cxZKR+daIAxogVkhSPgV1RUkxyiMvFr6vxzXwaPt20gSCw\nZS3W/EY+NOJbISQKbp/oXS2tYIxYPmWl8OuIl8kkh2ztsO8kevrpXSeKuH0DM8ehsIDkkIs7Qh9T\n5snWC8zODvms/Jncgp0b43KEEVswAF9/XImEE9lG6JRErPpF7wppBdMTyyE2Gv288e92jI/Y2ePS\nXbi406ET1STGYVhv5Muk3zMxwc3HaO1Jh06awPTEcvjtRxILNjHB/lPqWjBLDqQhgiRMmjRJUkbL\nepTg3hp7T5D4BKursWKRhnXSAWPEZMS/QPhNEvmSP9Ddl6pGfH3Jq7p58+aRI0e0r0clevXFL6vI\nlLiKRIpDZOgOxojJ2LudRNipC778XoPKZGOH9enTB8CUKVNkCwsEgjlz5kyaNEnLetRgzjy06yjb\nGHYbTypzyqO7GT1CIeFiS9hB+r/7dymp/vXr1ywWy8LCori4WPbokiVLrK2tMzMzlf46iutRj4gw\nkut1sydEIm1r1gtMTyxDzFMU5EsLO/hQtXAxKCiIIIiRI0daWUkvH0tMTFy7du3y5csbNlS+BUNB\nPWrT3RftO0kL3+chluJ4RTqCMWIZ7t4iEY7X7pVdi4MHD0LOGGDOnDlubm7ffvutlvVowrjJJMI7\nodRUrmMMbLWKIUC60rJ3P0rqjoyMTE5OdnJy8vf3lzoUFBR069atsLAwVaJwK6hHQ0gvMIniGJ46\ngumJZcjNkZaYmMDVg5K6AwMDAUycOFEqXXh+fv78+fMnTJigoqtBXj2a496axNcmeysMEsaIZciT\n+eVs7SlZICEQCE6cOAGyMcCCBQsqKys3bNigZT2aw2bD1l5aKHsrDBJmOKE/goODCwsLvby8PD2l\nJ8P2799PEIRsGDXJfAfx31lVBfX8/4TpiWWwd5CW5OeBisl5yRiAtPsk1KlfQT2aIxYjP09aKHsr\nDBLGiGVoIPPLVVcjIVbLWrOzs0NCQrhcLmnsa1nfZ2256vVoTnwMyTS7gyOVTegMxohlIP2GI/W7\nqcPhw4eFQuGAAQMcHbWyDKrqkSaczJvmahwLixkjloF0jeXJQ1rWStUYQCdjCQDHDpAIexnHclNm\nKaYMIhE8HEgm7S6Go2svOhTSPeE38ZmMv9nOHvHZ0HiJnB4xAhX1DYeDEeNI5D99r3bMKKOguhq/\n/kAiHzraKCwYjBGTM/MbEmHMU+zarHdVdM+OTYiLkRayWJj9HR3aaAIznJDDZ/4kS4pNTHD6OoVL\niunn7i2MHYjqamm5/2Acu0yHQprAGLEcXjyDv08d356UEIvhvsz2pLpLWy98/SOJ/H0eBnWTFwve\nmHh0H5/2JLFgAN8uMCILBtMTK+L/55Z9Vw/cfMRs2a8rWPJxKBhWZFli8t9jzAD8tU6lAK8GhViM\nP1dj3CByC7apj0PBxmXBYHpi5YRcxOSRcp1rXXrgzz1GEzLnVQrmTsf9u+RHuVwcvQS/AfrViQKY\nnlgZA4bi7yDIW7YbFYE+HbBumRpR2mmhvAwbV6J3e0UWvPOwMVowmJ5YVc4cxZzJiiY7HJ2wcCm+\nmK7ziPDqUiXAkf1Yt1xJaNedhzGSbIrHGGCMWGVuXMGcSSTT0bVxdMKMrzHtS4PIUJSXg/07sX+H\nkhS8tnbYdcRI+2AJjBGrQ9orTBuNmKdKipma4bPP8cU0dOtNW7qDowdw9rjyxGTtO+HAaTRpphfN\ndAVjxGpSWYEl89VLPOM3AF166DwEd5UA9+8i9BqCT+BtmvLyksQzy9bVgVxgjBFrxP27CJiFlERV\ny1tYontv+HTXVQqwh5GIDJdN2CgXJgUYAwAIKrHnL2xeQ+5wVYAkGWNLV7i4w8UNzVvB3gF29rC1\nl5vvQyhEfh7e5yE3G69TPyZjfJ1KMjGuGL4V5vyAgJ/qQAdcA2PE2lGQj81rsOcvtdLiyqWeDVgs\n1KuVv7yoAAShJGWTipiaYda3+G4R7GR2NRs5jBFTgToJymmASVDOoCqCSpw9juNBiAiT99n3SIi2\nHJhR5LGoJBArQid5YRfYbPTqi/FTMHKcQWd20hrGiHVA+hucOIjgE4h9XlucT8ClAD+ZY4E5Ne2s\nq8DaCqTWR/3aTwWLhdbtMGo8xk2Gc2NqWjJsGCPWJdmZuBWCWyG4E4qcrB/KcLoKiTYwp6gnriDg\nVoixPGyyBBwaonc/+A2A34C6OmyQB2PEeiI14k7rPn23De73P5YAyQlKZtFUwdEJLu67CdO5V27G\nh4e17FZH/GUawBixnpg8efKTJ0+eP3/+IQRgSTFSk5D5DhnpyMtB5ju8z0N5GYRClJZ8PI1vBS4X\nFpawb4CGzmjgCKdGcGqEVm6SNaIikahdu3adOnUKCgqi6coMAN3E7mb4D48fP2az2WfPntVF5WfO\nnGGz2Y8fP9ZF5UYB0xPrg0GDBpWWlt69K2cZpNb07NnTysrqypUrOqrf0KH7Kar7XL9+HcCdO3d0\n18SdO3cA3LhxQ3dNGDJMT6xbxGJxp06dmjZtGhwcrNOGhg8fnpmZ+eDBA5Zx5ZqmBLqfojrO0aNH\nuVxuQkKCrhuKj4/ncrnHjh3TdUMGCNMT65CqqioPD4++ffv+888/emhu5syZt27dSkhI4Bna7hId\nw+yx0yG7d+/Ozs5esWKFfppbsWJFdnb2nj179NOc4cD0xLqiuLjYxcVl5syZa9as0Vujixcv3rdv\nX0pKirU1WaSBOgrTE+uKjRs3isXiRYv0mul78eLFYrF406ZN+myUfugelNdNMjMzLS0tN2zYoP+m\n169fz+fzMzMz9d80XTDDCZ3wzTffXLp0KSEhwcxM3xsoKisr3d3dhw0btm3bNj03TRt0P0V1kLi4\nOC6XGxgYSJcCBw4cMDExSUpKoksBPcP0xNQzbty4lJSUR48esWmKtC6ZYXFzczt+/DgtCugbup+i\nukZkZCSLxbp06RK9aly8eJHFYt27d49eNfQD0xNTjK+vr4mJyY0bN+hWBP369ROJRGFhYXQronvo\nforqFJcuXWKxWA8ePKBbEYIgCMk6isuXL9OtiM5hemLKEIvFXl5eHh4ekuzhhsDYsWMTExOfPXtG\n1+hcT9D9FNUdAgMDDc0nkJiYaGJiEhQURLciuoXpiamhsrLSw8Pj008/3b59O926/Ievv/768uXL\niYmJpqZ1dtd+nX7L6JHt27fn5+cvXbqUbkWkWbZsWX5+vqE9WtTCGDEF5Ofnr1q16ocffnBwcKBb\nF2kcHBwCAgJWrlyZn68wsrIxwxgxBaxfv57H4y1YsIBuRchZuHAhj8fbsGED3YroDLoH5UbPmzdv\nzMzMtm7dSrciitiyZYu5ufmbN2/oVkQnMB922jJr1qzbt2/HxcWZmJjQrYtcqqurW7du3adPn7q5\nZJ7up8i4efHiBYfDOXr0KN2KKOfIkSMcDufFixd0K0I9TE+sFSNHjkxPT3/48KHh7zEmCMLHx6dJ\nkyZnz56lWxeqofspMmIk0R5u3bpFtyKqcuvWLeg4AgYtMD2xhhAE0a1bNxsbm6tXr9KtixoMHDiw\nqKjo3r17hv/qUAO6nyJj5ezZs2w2Ozo6mm5F1EOyjuLcuXN0K0IlTE+sCUKhsG3btt7e3ocOHaJb\nF7WZOHHi48ePX7x4wZWX58bYYCY7NGH//v2vX79euXIl3YpowqpVq16/fn3gwAG6FaEMpidWm/Ly\ncldX13Hjxv35559066IhAQEBJ0+eTE5OtrCwoFsXCmB6YuWMHj26dlTWLVu2lJWV/fLLLzSqpCW/\n/vprWVnZ1q1bayR3794dPXo0jSppBd2DckOnsPBDDrlBgwbFxMTk5eXVq1dv5cqVdOulLb///nu9\nevXy8vJiYmIGDRoEgMViFRUV0a2XJjDDCSVERUV17doVAIfDEYvF7du3T09Pf/XqFZ/Pp1s1rSgp\nKWnRokWTJk2io6PZbLZIJAIQFRXVuXNnulVTG2Y4oYS4uDhJlg2RSEQQRGxsbEFBwbx58zIzM+lW\nTXMyMjLmzZtXUFAQGxtLEITEgjkcTlxcHN2qaQJjxEpISEj4kCoGAFBdXS0Sifbv3+/i4rJq1aqy\nsjIaddOAsrKylStXuri47N+/XywWV1dX1xzicDgJCQk06qY5NA9nDJ4hQ4YomNwaMWKEWCymW0dV\nEYvFw4cPl3ctLBZr6NChdOuoCUxPrISYmBiC7LPBxMTE39//8OHDRjR/y2KxDh8+3K9fP9JVowRB\nPH/+XFZu+DBGrIiKior09HRZOZvNnjJlytWrVy0tLfWvlTbw+fxr165NmTKFdBP/27dvKyoq9K+V\nljBGrAjJ/ntZ+W+//bZnz57aY2UjgsPh7Nmz57fffpM9RBBEcnKy/lXSEsaIFREfHy81WmCxWFu3\nbl22bJkRjSJkYbFYy5Yt27Jli+zVxcfH06WVxtSRJSAqUV4EsRhVFaiuhFgENgcsNizqAYCFNdgk\n3Wp8fDyPxxMIBABYLBabzQ4MDJw4caKeFdcR3333na2t7bRp0wiCEIvFAHg8nlwjFglRUQIA5UUg\nxB9uoIkZeOZg/3sbaaLOGXG1AO/TkZGEjERkJOFdAkryUJyH4jyIqhWdaGUH6wawsoN9EzRtCyc3\nOLvFxURLnFAcDofH450/f97f319PF6IXJk2a1LBhw2HDhklch9XV1XEx0Xj1DJlJyEjC21jkvUVx\nHkryUPJeUUUcE1jbw9oeVvZo5IFG7nB2h7Mb7BqDq/NUTnVixq44F3F3kBCBpHtIfQxhFVUVu4cg\nqRQcNotvbhZy7EDnoeOoqtmgeHDx+IDPp5dWVIrEhDsfCQOoq9rEFC07wb0bPHrgk16wtqeu6o8Y\nrRGLqpEQiegQPAvByycgxNS3QMAiGNVi2PFwvRe86gH2TeE1AO0HoJ0/+PUpb1GvlObj+Q08C0F0\nCPLePi1E/7vIr4IJG+UjwNHFgJ/FRqtOaD8AHQbCrRs4lI0CjM2ICTESInDnCCJPKnnBaU1KKVxD\n0NQcob3RSsqTxjFBh4Ho+QU6j4CpUXnZKkvx4BzuHEX0danxVWoZ/MLxtgIpA2Wul3Ks7dF9HHp+\nAY8e0PoT2XiMuKIEtw7gwp/IeaWfBi9kYkkcrvRAQwW5Y0wt0W8GPv0ODV30o5XmZCbj0haE7oeg\nXF6RrEoMjsDvbTC0ob60cmyJYfPgNxVmmi+oMgYjzn+H85u5jmOYAAAgAElEQVRwcy/Ki/TZbOR7\ntLWGtSoRUVhs+AzDiAXw6KFztTQgLhzB6/H4siqDruJqxJagm60e1KqFpQ38Z2HYPNR30uBswzbi\n4jyc+wNXtqNK02kkNge2jWDXCPUcUM8BYIHLg9m/L0thNSpLAaCiBPnvUJSD3DTN2wLQcQi++B0t\nO2peA7WkPsKRX/HsmuY1mFrAvinqOcCu8YfO0owP7r9PdmUZhFUAgaIcFOXgfTryMyAWad7W4G8x\nciGs7NQ6z1CNmBDj8l84+tsH36SKsDlo0houneHsBmc3OLujYSv1XDwEgfdvkZGEjCRkJuPlE7x8\n8sHQVYTFQs8vMHOrur8ExRTnYe9cRByHWr+vuRVadkTLjnByhbMbnNxg30S9doVVyErBu8QP9zDl\nAdLj1TNrc2t88TuGfAuWqjNxBmnE6fHY8T8kRKhavkkbeA1Ex8Fw70b9Z5ZYhLexeHIF0SFIiEC1\nQKWz6jlg1l/oTpNL7u5R7AtAUY5KhU1M4dETXgPQYTCatCad9NGKylIk3sPTK3h6Dekqr1f+pCe+\n/gfO7qqUNTAjJgicWYOTK1SyFRcf9JmCLqNg20j3mgEABGWIvo7bB/H4kkoa+gzHN/v02iUX5+Kv\naXhyWXlJE1N4D4PvZLTzh6m+tou+T8f9M7gdhNTHygubmGH8MoxcqNR9YUhGXFGCrVPw4JySYvUc\n0G8mfCehcWu9qEVGaT4iTuDGHrx8oqSkQwssPodm7fSh1aun+GMUctOUFGvlDf9Z6D6OTlf321jc\nPoSbe1Gcq6RktzH4dr9i34XBGHHOa6weirexiso0bIXRv6DXBJgYTPqJuHCcXYsnVxSVMePjuyB0\nGaVbTSJPYts0Be4zAPAeipGL8ElP3WqiOtWVCD+MU6uUuE2btcPPF2DfVN5xwzDijCQs90feW7kF\nbBth7G/oNwMcg4wBHBOKgwsVvSI5XHy7H70n6UqB0P3Y8T9F309tfDFhlYF6AKsFuPo3Tq9SNHvV\noBmW3UTDVqQHDcCIM5Pxa28UZpEfZXMwYgHGLQHPXL9qqQlB4N5J7P8B+RnkBVhsfLsffaZQ3/TN\nvdjxP7leCJuG+HInOo+gvl1qKS/CmbU4vwEiIXkB20ZYGQ7HlrJH6DbiimIs7op0Ocv/Gn+Cb/fD\ntYt+ddKCskLs+x5hQeRHTUyxPBTu3alsMfY2lveXu0Cv1wTM+gt8PU9daMGrZ9gySe6ospknVkfK\njo9pNWJCjLUj8Ogi+dFeEzBnt5GtTJAQsgv7vid3X9g44o+Hajtf5ZHzGos6k38bmZhh9nb0nUFN\nQ/qkshTbZyJSTlbWziOx8LSUC5nWnR3BG8gtmMXC5D8QcNgoLRjAgC+xIoy8/yvMxsZx1Ky5E4uw\n6XNyC7ZugFV3jNKCAZjx8eNxTFhFfvTBOZzfKCWjz4gzEnFsCYmcw8V3BzFyod4VohS3rlgTSe7A\nTrqPy9soaOLSViRHkcjtm2DVXbTypqAJGhn9M77aTT5pd2wpslJrC+gz4gM/kr9wJ69Db/X2/7Dk\noCAr96RJkyRlpOQlJSW//PKLh4eHqalpvXr1fH19Nc827uyOXy/D3Irk0PGlqk6nyaMwCyeWk8jN\nrfHrFTi7qVWZijeQtIxsbWfPnu3Vq5eVlZWVlVWvXr3OnVPm+JdH//9h0hoSeVUFAn/8j0S/YS7+\nJSGS+Awk//01TYPK5N2EPn36kJa/ceNGzd2vLc/Pz2/dmmQC5eeff9bkGiVEnSNGs0mu9OAizesk\nCGL/PJI6R7OJh+c1qEzFG0haRqqqTZs2yZb5888/Nb/SLZPJTSXlUU0RmnriK2TvU2c3fLlDg8pk\nL7xPnz4Apkwh8WcJBII5c+ZMmkTisl22bFlcXFzTpk3Pnj2bn5+fn59/5syZxo0br1mz5skTZTNz\n8ug8AoO+JpFf3wOBpiGwBGUI3UciHxoA72Ea1KfWDZQqWfvQy5cvFy9eDECShTc/P18Sh3zRokWv\nXmm6CvzLnaRuNVzcrOgCdE5RLjGOR/JsxYRSUv3r169ZLJaFhUVxcbHs0SVLllhbW9eEA6x9qEmT\nJpDJhnTz5k0Ac+fO1Vyh8iLif41JrvfGPxpWeOMfktq+bEZUlmquZC3k3UClBiOJ2Txx4sTaQsnm\n8F9//VVzhZ5eJbnecTyiKFdynI6e+NlVkr2cbXzR1o+S6oOCggiCGDlypJWV9Hg0MTFx7dq1y5cv\nb9iQZOtCVlYWAG/v/3wS+fj4ALh//77mCplbYwRZ2ufHlzSs8OF5EuGIBVQ5cxTcQMVIUoxJ9d+S\nP8PCwjRXyGsgyVS5sArPr0v+SYcRP79JIhzyHVXVHzx4EHJehXPmzHFzc/v2229JT7S3twfw6NGj\n2sKHDx8CePnypVY69Z0Oc2tpYWyYJuvHRULE3pYWWtSD31QNdZNBwQ0E4OXlZWpq2rhx49mzZ0vF\nt01KSgLQvn372sJ27drVHNKcT78nEf5rSHQYcfxdaYmJGToOpqTuyMjI5ORkJycn2QARQUFBt27d\n2rZtm7ysQZ9++imAqVOnBgcHFxQUFBQUnDt3bvr06QBKStRZmy+LuRXa9ZMWlhYoWfBEypsYkm1a\n7ftrs0etNgpuoITo6Oiqqqp3797t2bPHx8cnI+PjNHtRUREAW9v/OMjt7OwA1ATc15COQ0hWfcXf\nkfxf70ZMEMh7Iy1060rV0ojAwEAAEydOlAqUlp+fP3/+/AkTJvj6+so7d8WKFU2aNHnz5s3IkSNt\nbW1tbW1HjRo1YMAAAAq8darSpg+JUOmySZJTZO6evMo1Qt4NBDB8+PDw8PCKioqsrKygoCAHB4d3\n794tXbqUqqYVYWoBF5kQ9v/eCr0bcVkhyYDYsQUldQsEAolbV/ZVuGDBgsrKyg0bNig43cnJ6eHD\nh998802zZs1MTEyaN2++fv36GTNmAHBwcNBWOdJP7MJstespIjtF9zcQQHBwcK9evczMzBwdHSdP\nnhwUFATg8uWPC/Dr1asHID8/v/ZZ79+/B2BjY6OtcrI3sLpS8lLSuxGX5pMIKVqhEhwcXFhY6OXl\n5enpKXVo//79JSUlzs7OUl56KY+9o6Pjtm3bXr9+XVVV9erVq/nz50uy3ko+77SCdH8H6d1QTGkB\niVD3N1CWbt26AcjN/Tjv7ebmBiA6Orp2MUnMY8khrbAiu8aS96DBiEmHbmrtBpWP5FUoz7upQYVZ\nWVnbt28HMGHCBC11QyXZNWowkDUjc0GotZVVPgpuoCyS/Oy1/Tx+fn4AJD10DZI/JY5nrSC9RnMr\n0GDEVnYkE+IFFCRxyc7ODgkJ4XK5pAYn63ysLa8p1rdv3+vXr5eXl5eUlFy4cMHX1/f9+/fdu3cf\nOXKktvqRrjOup/4oxboBiVD3N7Bfv36nTp3Kysqqrq5OT0/ftWuXxNZHjfq4Y2XGjBk8Hu/w4cOr\nV6+WfBmvWrXq8OHDPB5P8n2sFbI3kM2RvIL0HhWTw0W9BtJjwaT7IAgtwxkdPnxYKBQOGTLE0dFR\n40pu3bolcXbW4OHhceLECQo+7BIjSYQaxAohPSUxEr6T1a7qvyi+gaGhoaGhoVJCT0/PZcuW1fzZ\nsmXLtWvXzps375dffqmdrHLt2rUtW5J9EqgOIUbiPWlhPQfJ3mw6XGwtO0lLinPx6qmWtar1KpRH\nSEjI4MGDraysLCws2rVr9/vvvz9+/LhRI613UxNiPAuRFnJMNNlA2rw9SSi+6OvqxZcgQ/ENjIiI\nmDZtWrNmzbhcLp/P9/b2XrNmTVRUVP36/9lt+sMPP5w5c6ZHjx6WlpaWlpY9evQ4c+bMDz/8oKVu\nSH5A8v3Q6oMh0bEo/vxGBM6XFvb/H77arW9N9Maji1gjs6rBowdWybjMVeGnbkiSmUFcEoL2/TWp\nzSj4ayrJfpnpf2JoAOjpib0GkghvHyLxH9cNJME0ZNHY5khv4OnV2nfGBkpWKiKOk8j/vYF0GHHT\ntiTb5qoq8M9cGpTRA7cOkAyI2RzNN436TSOJ0xMbhjuHNazQwNk7l2TpuWsXNGkj+SdNSzGHkK1e\neHge4Yf0roqOyXuDg2S7VDqPgIOmMxQOzeE9lES+f56isAdGSlggeViPoQE1/6TJiLuNhUNzEvmO\n2Uh9RCI3UgTlWDsSxXnSchZL2/1Xw+eTOHOKc7FulFZRPQ2N5AfY+RWJvKELuo2u+YsmIzYxxcyt\nJPKqCqwZLncHv3FRVYH1o8m9Ln7TtY1D8ElPcp9a6mNsHIfqSq0qNxDSYrB2OPm1zNxaO4wOfXvs\nvIeRR3YqyMSSPngdTXLIiKgsxapP8fQqySErO0z+g4Impm4gn21+dBFrhiuJZ2X4pD7GUj/ytSXd\nxkiteaR1y/7sHbBrTCIvysGvvRF1Vu8KUURWKn7piRe3SA5J4gBRkkTIugG+/od8hij6On7thZzX\nFLRCC5EnsdSPPKpVg2aY/beUjFYjtnHEonPkizArirF+NA7MM74RXuRJLPKR+yaZsFKzbXDkdBmF\ncXJWQr58goXeuH+asrb0Q1UF9gVg03jy5TSmllgcLDvxTncYKwCRJ/HnF3L3ODR0wZzdVO1c0i3F\nefjnW3KPpoQ+U/Htfu2TBf0HgsDmibh7VG6Brp9h1jbNcmHom8R72DYdGYnkRzlczD+JziSLWAzA\niAHcOYKtU+TaMYuFXhPwxUpyh4YhUFWBS1tx7g/ydZISek/C3APUx2EHIBJiyyRFD4+lDUb/jCFz\nYaIgDxSt5LzCkV9x95jc2EgcLgIOy4u8bxhGDODuMfw1VVEyUBNTDPgKw3+kLJAZJVRV4NYBnF6N\n9+mKivWZgm/26cSCJYiE+Gsq7hxRVMa+Kcb8gj5TDMuUc9NwYROu7VT003N5+P4Quo+Vd9xgjBhA\n/F1sGKNkswPHBD0/x9AA+jMUFWbj+m5c2aYklg+bgwmrVInZry0EgdOrcGypkkBvNo4YMhf+/9Nk\nFSi1pD7Cxc2IOC43lquE+k5YcBru3RQUMSQjBpD3Fus+U2m+o0kb+E1Fr4mwdda9WrWorsSDYIQF\n4dk15XuVLW0QcISqPbAq8egCtkxWnvCPw4XXQPSZCp9h+u6Y89/h9iGEBamUhMa1CxaeVpqTxcCM\nGIBIiPMbcWK5Sn4JNgeuneE1EO0HwLWzDt/XWakf8kjH3FR1H0rX0fjfNtjoLTfnvxRkYs83qjoo\nza3Rrt+HfMsaT4MrRSREygM8vYboEKQ8VClQAc8cny/H0B9USQFteEYsITMZ22fW7MlWCTM+XDvD\nowfcuqGROxo008qmi3ORkYSUh0iMREKE3PjvpNRzwOwd6PqZ5q1rz71T2PONemELbRvBowc8usPF\nB05uWjmzxSLkpuFdAhLvISECyQ/Ui9n1SS98u0/1TMOGasQACDHuHMXxZchK0eR0E9MPGQXtm8La\nHtYNUM8BZnxweR8j5YiqUVmKagFK8lCch+Jc5GcgIwmZSYr8DAow4+PT7zB8Pp2JiWoozce59bj8\nl4ZB3/i2H3Ja1neCdQNY28PKHiamMON/nPIVlEFYhcpSFOWgOBfFech7g/QEZKeqmvBPCmc3jF+G\nHuNVz8QIgzZiCaJqhO7HmTWGPv9kagn/WRj9M/0fTFIUZuH0atzca+gT0Y4tMfpn9JmqyvhBCoM3\nYgliER6cw8Ut6g0w9IN9Ewz+Fv7/M4jeVx6l+bi+G1e2K3EF0kIbX3z6PTqPUKv3rY2RGHEN6fEI\nC0L4If38GHtfo4k5BpBuPOWZo8so9JmCdv46/KCkFpEQz28gLAgPzpF+N1/LRnoFZjbXizL2TeA7\nGb6T0chDy5qMzYglEGI8v4mHwXgWgsxk3bUzLgrRRXjhD5OaPoJfH+380XEIun5GEiPQWCgvwv3T\neHwZL0JrRv/VYrS9AS8bHJeJF0Ulzm5oPwBdRqKtn8ZdrxTGacS1yXmFp9eQcBfJD5CVQu0+s5dl\n+OQ6tnThf/Vpb7h1QfsBcPExmn5XFcQiJD9AdAiSo3ZcDA94UJbQHy2oTffDYsHJFS6d8UlPeA3U\nxdoB4zfi2pQWIOk+0qKRkYR3ichMItlVoRQTMzRyh7MbnNzQtM03+y6fvXozOTnZ0tI4UzmpRklJ\niYuLy9hPB2ybPhhvY5GR9OE/DdbXW9vD2R3O7nB2QwsvuHaBpdaB2BRSt4xYluK8D+6zkjyUFkBU\njaoKVP37w7DZsKgHAJb1YWUH6wawsoO1Pbi8mgpyc3NbtWq1cOHCX3/9lY4L0BO///77hg0bUlJS\nGjSotdBRWFXrBr5HWQEAlBdB/O/MNs8MPHNwebC0gZX9BzccJaul1ULzIPT/b1i6dCmfz8/KyqJb\nEV2RlZXF5/OXLVtGtyIaUtd7YiooLS11dXUdP3785s2blZc2Qr7//vsTJ04kJyfz+dRE6tY3dD9F\nxsG2bdt4PF5KSgrdilBPcnKyiYnJ9u3b6VZEc5ieWCWqq6vbtGnj4+Nz+HBdC1AyYcKEZ8+ePX/+\nXF4WCCOA7qfIaDh+/DiLxXr06JHyosbDo0ePWCzWiRMn6FZEK5ieWFUIgujRowefzw8JkYlvabT4\n+fkJBIKIiAjSBLdGA91PkTFx+/ZtACEhIXQrQg3Xrl0DcPv2bboV0RamJ1aPIUOGZGRkPHnyhIKw\n27QiFos7duzYqFGjS5c0zQlpMBj3L6F//vjjj5iYmOPH5W8tNhKOHTv24sWLtWvX0q0IBTA9sdpM\nnTo1PDw8ISHB1FQmPaCRIBAIPDw8fH19Dxw4QLcuFMD0xGqzevXq7OzsXbt20a2I5uzcuTMnJ2fV\nqlV0K0INTE+sCQsWLDhw4EBqaqq1tfGtxiwqKnJxcZk+ffq6devo1oUamJ5YE37++WexWKw4P6nB\nsmHDBrFY/PPPP9OtCHXQ7B0xWtauXWtpaZmRkUG3Iurx9u1bc3PzP/74g25FqIQZTmhIZWWlu7v7\nkCFDduzYQbcuavDVV19duXIlMTHRzMyQgllpCd1PkRGzb98+DocTFxdHtyKqEhcXx+Fw9u/fT7ci\nFMP0xJojEom8vLw8PDxOnjxJty4qMWbMmNTU1MePHxv7TI00dD9Fxs2FCxcARERE0K2IciIiIgBc\nvHiRbkWoh+mJtaVv375CoTA8PJxuRZTQu3dvExOTmzdv0q2IDqD7KTJ6oqKiWCyWgfdwFy5cYLFY\nUVFRdCuiE5iemALGjBmTlJT09OlTDscQd/MLhcJ27dq1adPGWMbu6lK3Bvg0sXr16oSEhIMHD9Kt\nCDkHDx5MSUmpM5PMsjA9MTXMmTPnwoULycnJ5uZkyaDoo7y83M3Nbfjw4X//LZ05q87A9MTUsHz5\n8uLi4u3bt9OtiDTbt28vLi5etmwZ3YroEMaIqcHBwSEgIGDVqlX5+fl06/KR/Pz81atX//DDDw4O\nBhZwllIYI6aMhQsXmpqaGtTSsD/++MPU1HTBggV0K6Jj6HaP1Cm2bt1qZmaWlpZGtyIEQRBpaWlm\nZmZ//fUX3YroHObDjkqqq6tbt27du3fvvXv30q0LZsyYcefOnbi4OBMTE+WljRq6n6K6xtGjRzkc\nzosXL+hVIyYmhsPhHDt2jF419APTE1MMQRCdO3d2cnI6f/48jWoMGzYsLy8vMjLSuANKqAjdT1Ed\nJCwsDEBoaChdCoSGhgIICwujSwE9w/TEOmHQoEEFBQX379+v6QgJgsjOzm7YkPrcjFlZWY6OjrUb\n6tq1q62t7ZUrVyhvy0Ch+SGqo0RHR7PZ7DNnzkj+DAkJ8fT0nDlzpi7amjlzpqenZ01cotOnT7PZ\n7OfPn+uiLcOEMWJdMWnSJDc3t4cPH/r5+Un6Cx8fH1005O3tLam/b9++Dx8+dHNzmzx5si4aMliY\n4YSuuHLlytixY8vKyrhcrlAoBMDn80tKVMsLrQ5WVlalpaUAJA1ZWVmdO3eub9++lDdksDAzdtST\nmZk5e/bsoUOHVlVVAZBYMIDS0tKsrCzK25JYcE1DFRUVAwYMmD17NuVtGSyMEVNJZWXlunXrXF1d\n9+3bJxaLq6urpQokJCRQ26JshUKhUCQS7du3z9XVdf369QKBRjmWjQrGiKmktLT0zJkzZWVlIpFI\n9iiXy42Pj6e2xfj4eNII7yKRSKJMTT9dh2GMmErs7e3Dw8PHjBlDalhsNjsuLo7aFuPi4kinM7hc\n7pgxY27fvm1nZ0dtiwYIY8QUw+Pxjh07NnPmTNlt8VVVVTExMdQ2FxMTIztoYbPZM2fOPHbsGI/H\nIz2rrkG3e6TOsmbNGtm7bW9vT20rpB3tmjVrqG3FwGGMWIds27aNxWJJve4LCwupql9qAb6kLaNO\n5qUZRpv1yRj45ptvnJ2dx48fLxKJxP+mkk1ISOjSpcuHElVlKMtFaQ7K81CWB2ElREJUlXzIO8tm\ng2cFDhdcM1jaw8IefEdY2oP3Ict0YmJiTVtsNpvD4Rw/fnzUqFH6vEZDgDFi3TJq1KirV68OGzZM\nIBCIRCIOmx13fmuXbDvkJSEvCQVpIMTKa6kNi436zWHvhgZu8ffzOBy2SCTmcDimpqYXL16smR38\nfwVjxDpGUNzXsTjkt0GDlwdXEgDEiaFHQOJ/UxlCjPyXyH+JpKsJYWATYLNhZoIrSwb3cCyGoASm\nVlTpbiww0866ISceL84g+RrS7kEsBJBaCL+jeFuMIS1xaSw1jQw+iasv0cQaYV+gpQ0AgGOCpt3g\nNhBtR6OBOzXNGDyMEVNKSSaeHsazw8h4JnvwdRH8joLNQuqX1LTWcifAwq0v0Iw06UKjjvCaAK+J\nsKJ+/adBwRgxRWQ+R8QWPDsCYaWCUrnlGHEGt76AqdbxriqF6HsMwZ+hgYXCclwzdJiEnt/Dsa22\nTRoqjBFrTVokri9BiqrRJsuqAcBS672bpVVgsVSuh8WCS3/0X46mXbVt2PBgjFgLMp4i5DckaJSR\nk8WCTVPYu8HeFVZOsG4EK0dweAAL5jYfi1UUAIBQgNIcFL9DSSZyk5CXhKK30OyH+2QYBvwOp/aa\nnGuoMEasEYISXF6AB7vVsCQ2B45t0KwHmnaDsxfsXGCiRdS26grkJSPzGdLuIS0C2bFquOpYbPSe\nD/9lWilgSDBGrD4pN3F6Fgpeq1TYtiXcBsJ1AFz6wlRnSe8qi5AaiqQQJF9D/iuVTrF3xeh/0KK3\nrlTSI4wRq4NYiEvzEblVeQdsYYv2n6PjFDTpoqQk5by5hycHEX3sw1BEASwWes7D4D/ANsSwyqrD\nGLHKlL/H4XFIDVVSrKUvenwP9yHg0pr5WShAwkVEbMGrO0pKuvbHF8dgYasXtXQCY8Sqkf8S//RH\n/ktFZVwHYOAqNPbWl06q8fYBri5G6i1FZexcMOs66jfXk0pUwxixCuQmYI8/it/JLdCsOwatMejx\nZeIVXP0JmdFyC9g0xawbsHfVo06UwRixMorSsc0HJXI2XZrbYPA6+MyC4UeLIgg82IXLiyAoJi9g\n7Yw5kajfTL9qUQBjxAqprsDOXnj3mPxos+6YeALWjfSrk3YUvcWhsXgbRX7UuQPmRBid643ZnqSQ\n07PkWnD3uZgdZmQWDKBeE3wVjq5zyI9mPMWZ2fpViAIYI5bPsyN4doREzmJh2GYM3wqOccb95fAw\n8m8MWU8+BHp6CM9P6F0nrWCGE3Iof4+Nn6AsV1rOYmHUTnQ2vu6KhHvbcX4uic/b2hk/xutwaoZq\nmJ5YDteXkFgwgH5L1LVglhyktkOTlqld4MmTJ/PmzWvfvr2FhYWZmZmrq+vXX3/95s0b9a/tX7p9\nA79fSOTFGbj5u+bV6h2mJyajLA9rm6K6QlreZiQmnVHXESEvzHWfPn1u3bqluFjtX4e0QL169UJD\nQzt27KiWSrUaECNoJOIvSMt5fPz09j9LkQwYpicm48FuEgu2tMdnuzVwpcnuzu3Tpw+AKVOmKC1c\n+5CPj8+2bdsSEhIEAsH79++vXbvm5eVVVFQUEBCgrkofYbHx2W6Y15eWV5Xi4T+aV6tfmJ6YjI0e\nyE2UFn62G53/p33daWlpLVq0MDc3z8rKsrL6uB9O0tGq9XOkpqa6uLiYm5uXl5drpdO9vxH8jbTQ\noTXmxWpVrb5gemIZCt+QWDDfER1JOk4NCAoKIghi5MiRtS1YMyRpkRwdHbXVyWcGLBtIC3PiFE1S\nGhKMEctAukfDezpVC3okecxJxxIAvLy8TE1NGzduPHv27MzMTHmVFBUVhYeHjx8/HsC8efO01Ylr\nBu/pJHKVt6vQC2PEMmQ8IRG6DaKk7sjIyOTkZCcnJ39/f9IC0dHRVVVV796927Nnj4+PT0ZGhlQB\nidfCxsbG19c3Pz9/3759c+fOpUAzt4EkwvRHFNSsexgjlqFYpv9jsajamhYYGAhg4sSJHI70Et7h\nw4eHh4dXVFRkZWUFBQU5ODi8e/du6dKlCmrLyMh4/vy5JJS3tjTtRvLNWiL3VWBQMMFTZCjNlpaY\n21IylhAIBCdOnICcsURwcLDkH2ZmZpMnT3ZwcBg0aNDly5elikm+/PLz8x89erR48eLNmzez2eyN\nGzdqq5yJOcxspNfRy94Kg4TpiWWolvnS/zf2mZYEBwcXFhZ6eXl5enoqLdytWzcAublkEy6Ara3t\ngAEDzpw5A+DIEbK5cQ3g8aUlVdo5PfQFY8QymMvscSh/T0nFkrGEvE86Ke7cuQNAcd47yUCCsmQ2\n5XnSEgvjCNDNGLEMfAdpSVWZ9i/W7OzskJAQLpc7YcIE2aP9+vU7depUVlZWdXV1enr6rl27JLZe\nO8TlwIEDg4ODc3JyhEJhbm7uxYsXR48eDaBnz55a6gYAxRkk8zuyt8IgYcbEMtg0JRG+DEO78drU\nevjwYaFQOGTIEFK3bmhoqCSXbW08PT2XLVtW82dISEhISIhUGTs7u02bNmmj2AdehpEIjWSBPNMT\ny9CcrGOLDdayVsVjiYiIiGnTpjVr1ozL5fL5fG9v7+c7o/0AACAASURBVDVr1kRFRdWvX5+0jKWl\npaen5/z582NiYlq3bq2lbgDw4jSJkPRWGB7MtLMMghKssIPov4kwODwsegVrZ5p00jGFb7CulSR6\n50c4PCzNp+qjVqcwPbEMplZoJZOOU1SF60vo0EYvXPtZ2oIBtOxjFBYMxojJId2982gfXt/Vuyq6\nJzWUfANLN5klQYYKY8RkeAwlCcJAEDg+mXylvPFSmoNTM0g2d9i54JOhdCikCYwRk8HmwJ9svrfg\nNQ6PhYiKaV5DQCjA4TEoSCM55L8ULKOxDaNRVN90mgaXfiTyl7exdwCqjD/XrKAEe/uTB7lyH4wO\nk/SukOYwRiyf4VvBNSORv7yNoJFyQ5AYBRWFCBxGbsEm5vhU65UY+oUxYvk4tMb4g+T7kVJuYlNb\nvH2gd52o4G0UNnvi5W2SQywWxh+Cwyd610krGCNWiOcY9Pie/FDRW+zpi8i/NIzYTguEGHc3Y7cf\nitLJC/ReiLaf6VcnCmAmO5QhFuHYRDw/LrdAyz4Y+bcR9F45cTj7laJIrx0mYlyQEX3P1cAYsQqI\nhTg+GdHH5BZgc9BpGvovN9CoVkXpuL4UTwIhlp8FssNEjA000mjbjBGrhliEs18p2cVuYgHv6eg1\nD7Yt9aWWMt6nIHwjngSSrFCrTZcvMWK7kVowGCNWj8htuDRPelmFFGwO2o5Gp6lwHUibWYiFSLqG\nxwfw4oyShDQcHoZvQZev9KWZTmCMWE1ehuHkdJWyzlg5ocNEtP8czh30NNAkxHj3GNHH8OyI3IDK\ntbFtgbGBaNFL95rpFsaI1aeqDNd+QeRfqmbdsmwA1/5w8Uez7jrJt5ybgLRIJF9Hyg2UyezOIIXN\nQffvMHAlTBSnIzUOGCPWlDf3cWomcuLUO8uyAZp1g1N72LmigTvs3dSOd1ZRgLwk5CYiLxmZ0Xhz\nT1XDrcGxDUb/U5dSizJGrAViEZ4dxo1lqqaOI8XCDnwHWNrDwh6W9gDrP5HRKgoAAmV5KM9DWR5K\ns1Ger3lbdq3gvwxeE4zRj6YAxoi1RlSFxwdw50/kJtCtinwcWqPXD+g41VgDgyuEMWKKIAgkX0Pk\nNiRdI1lg/i8iAhxKM9QoqZBjArdB6P4tXPobQWocTWGMmGpKs/HsCB4HyubbEhPofghzOmBqW2qa\nCnyBHU8ROQlsWft07oBOU9H+C2PZsawNjBHrjNxEJF1DcghehqGqDMD+GMy+ihcz4U5R9s6E9/Dc\nhz2DME0SjIXHR6s+cB0ItwGwd6OmDWOAMWLdIxTg7YPylAi38SsGu3D39KUo1gkAYFao1dVUYdKx\nJRYuPdC0Czg8Cis3Fpi4E7qHa4oWvbadvFcgYC0/l4B6JshJQF4S8pKQE4eSbJTloCxP0lvLhWcJ\nS3vwHcF3gENr2LuhgTsauK/4rvqoq+v2Z5wF/Y1+zkJjmJ5YH7x//97FxWXOnDmrV6+WW0hUhaoy\niIUQ1OqqTa3A5oJnqaCL/emnn3bu3Jmammpra8RJxrVCNqMEA+UsWLDAzs6usLBQF5UXFBTY2dkt\nXLhQF5UbBYwR65y0tDQzM7NNmzbpromNGzeamZmlpaXprglDhhlO6Jzp06eHh4fHx8fzeLr66qqq\nqvrkk098fX337dunoyYMGrqfojrO06dP2Wz2wYMHdd1QUFAQh8OJiYnRdUMGCNMT65Zhw4ZlZGQ8\nfPhQKn8o5YjFYm9v78aNG58/f16nDRkidD9FdZmbN28CuHr1qn6au3LlCoDQ0FD9NGc4MD2xriAI\nomvXrtbW1tevX9dbo/379y8uLr5//768XLx1E7qfojrLqVOn2Gz2s2fP9Nnow4cPWSzW6dOn9dko\n7TA9sU6orq5u27Ztx44djx49quemP//886dPn7548UKSb/T/A3VqcbThsHfv3rS0NEXzczpjzZo1\nr1+//n/la2N6YuopKytzdXUdM2bM1q1baVFg7ty5p0+fTk5OtrQ0jijZWsL0xNTz559/lpWVLVlC\nW2T5JUuWlJWVbd68mS4F9A3dg/K6RlZWFp/PX7FiBb1qLF++3MrKKjs7m1419AMznKCYgICAEydO\n0P4qlwxpxo8f/+eff9Kohp6g+ymqU6SkpPB4vB07dtCtCEEQxN9//83j8VJSUuhWROcwPTGVTJw4\n8enTpzExMRwO/XHNhEJhu3btOnbseOjQIbp10TF0P0V1h0ePHrFYrFOnTtGtyEdOnjzJYrEeP35M\ntyK6hemJKWPAgAFlZWURERF0K/IfevTowefzr127RrciuoTup6iOIMm6HB4eTrci0oSHhwO4fv06\n3YroEKYnpgCxWNyxY8cmTZpcuHCBbl1IGDp0aHp6+pMnT3S9HJQu6uZV6Znjx4/HxsauX7+ebkXI\nWb9+fWxs7IkTJ+hWRFcwPbG2CAQCDw+Pvn377t27l25d5DJjxoywsLD4+HhTU1O6daEepifWll27\nduXk5KxYsYJuRRTx+++/Z2dn7969m25FdALTE2tFcXFxq1atZs6cuXbtWrp1UcKiRYv27duXmppq\nbW1Nty4Uw/TEWrFhwwaCIBYvXky3Isr56aefCILYuNHIsoWqBK2+EeMmIyPD0tJy/fr1dCuiKuvW\nrbO0tMzIyKBbEYphhhOaM2fOnCtXriQkJJiZkaWANjwqKyvd3d0//fTTv//+m25dKIXup8hYiYuL\n43A4gYGBdCuiHgcOHOByuXFxcXQrQiVMT6whY8aMefny5aNHj4xrBkEsFnfq1MnFxeXkyZN060Id\ndD9FRolkgcTly5fpVkQTLl26BCAyMpJuRSiD6Yk1oXfv3jwe78aNG3QroiH9+vUTCoW3b9+mWxGK\noPspMgIOHjxYWVlZ8+fFixdZLNaDBw9oVElLHjx4wGKxLl26VCOprKzUQ8A4HcEYsRKqqqq4XK6z\ns3NQUJBIJBIKhW3bth03bhzdemnL2LFjPT09hUKhSCQKDAx0cnLicrlVVVV066UJjBErITY2VvLK\nYrFYrq6uAQEBPB7v5cuXdOulLampqTweLyAgwNXVtSbmlZF6LYzpy5oW4uLiJL8xQRCpqalbtmxx\ncHB49UqLFKKGwatXrxwcHLZs2SLZhAeAxWLFxamZ5dcwYIxYCfHx8TXxoMRiMUEQmZmZ/fr18/Pz\ne/LkCb26acaTJ0/8/Pz8/f0zMzMlPZlEbmJiEh8fT69umsEYsRISEhJEIlFtieTPiIgIHx+f77//\nnjAe9w5BEN9//72Pj4/ERSh7XQkJBpzZVz6MESshOjpa6seWQBCEtbX1xIkTjSiIKovFmjBhgrxV\nbCKRKDpaOguqUcD4iRUhFovNzc2rqqqk5Fwut1GjRrdu3WrRogUtimnDq1ev/Pz83r17JxRK56A2\nNTUtLy83rjlIMD2xYtLS0kgt2MPDIyoqyhgtGECLFi2ioqI8PDy4XOlUnAKB4M2bN7RopQ2MEStC\n9kOHw+H07Nnz3r17jo6OtKhECY6Ojvfu3evZs6dskBdj/LZjjFgRUnm72Gz2iBEjrl69yufzadSK\nEvh8/tWrV0eMGFF78MDj8YzRiOtsbucyFBQiuwBZlSitQEklSitQChBCVAlRTUDMApsFliksAJjA\nzALWZuCbgW8FW1s0soY9G5z4+HixWCypkMVizZo16++//zaEEFWUYGpqeuLEiTlz5vzzzz+STyOC\nID4YsbgaZS9RFIvytxDkQZCHymxUlwBAdREgBiECiwO2GTjmYLFhav/xP2sPWLnD3FlvF1JHjFgE\nYR7eZCE1EynFyCtEVjUE2lTIBsca9uHPr9d8/axevdootiGpBYfD2b17d8uWLX/66ScA1dXVz++e\nxKXbKH0FQvqzTz24VrB2A78V7LrBvhvqdwRbV+kXjNo7QeQh/Q1i3+JFJlJFqKa8gfn1DlYWV4GF\nkWs7j1s4qCnaNEUbJ7hyoavcoHpFVIGccGSFIOvaHwfjfjpKEEA9CxTqIvQAxxz23eE0EA0HwKYd\nQKVf0viMmADxDonJiHqN5+Uo0l1DJTkVPzkeYXFYE/f07DrdrUbOBa8R3F3h0wIdeDDXnQK6oroI\n6Wfx5jhywiCqrBHvC8PsPRCJkbMLDXS6IdqsIRoNQ7MJaNAbLAq+yozJiEuR/xw3kxBVhkI9NJd8\nO+vvQVdnHO/rObwpaQEueM3g2Q7+znDVgz4UkHMbyX8h41Jt263N+ccYvxXXFqP3J3rRx7wRmk+E\n23cwb6RNNcZhxNl4GY3rqXgshlhvjT499cquuVVTb3ulJR3QvD38W8GbY5jfGOIqvDmGxC0oUL7Y\n49FLpOVhdGc9qPUvbBM0GQO3ANhp2KqhG3E2Xt7H2XRQ4PeROCI44HLxIZSTGKJqVAKohkAM6bll\ngoBaM8pWsOuM4e7oxjIcxyUhxKtAvFiBcjWmMMgvnG0CLh8AuPyPn2jCMoirAAJVVLwbGw5Au5Ww\n9VH3PMM14kJkR+LkKzxT90QezG3gaANHGzS0gaM17C1R3xxWirvJchRXoLgE+YXIKkSWxD2nwZi7\nPhp2xeiW6KDuidSTfgbRP6EkSe0TzRvByg3WbrByg5U7LJrCzAFmCid3xFWozEFFOspeozgRJYko\nSUJxEoQlarbNQuMR8FoPvosa5xigERMQP8fNKJxT3U3Gh20jeDRESye42MKZqr6wFAVZSMlCagaS\n8/CGgKr3yhWde+ELc1hRoobaVObgyXd4c1zV8iw26ndEg56w7w77HpS5eAkRil4gNwLv7yPnFsrT\nVT2Ra4l2q+A6V8XPPoMz4vdIv4WgbLxUoSzLGa4t0aEp2taHk64Vq0DJW8Sl4flLPBVCekGFLGbg\n98Tn7uiqa8WkeXUAz+ZD8F55Sa4lGo+C86dw9Iep8qG/thTFIisE6WeQGwFVugO7rui8B/XaKi1o\nWEaciPthCFJqIjZwdEMXd3SzRgP9KFabalSm4nEi7r1DotK+uTV69cZEPX3wiSrx8Eu8DlJSjMWG\ngx+aT0aT0R+GuXqmNBWvD+L1YZSmKCnJsUCXvWj6ueJShmLEBMSROPUMIQpLsZqhbXv4N0Frar3l\nmlGI7Oe4mYAIxcOehmg1GF9boJ5utal4h7uf4f0DRWW4Vmg5HW7fgd9Kt8qoBIHMa0jajMwQhR0z\nC58sRLtVYMmd7TcIIxZDdB17UvBIQZnG+KQrRjmipd60UpFyFD3EhTiEK3D/WcN+BOZbQ2ev7NIU\nhPZT5IJgm8LlK7T+GWYOutJBY3LvInoR8iIVlWn2BboGgUX+QqPfiEUQXsWO15C7p8AWjXrhi8bw\n0KdW6lKIrPs4m4rH8grwYTsCP9pABws4i+Nxyx8VGXILNJ+Mdqtg0YT6pikk/Sye/4pi+TtVG49C\n92Ngk0z402/EN7E/AeRpszjgdsKnHTHYQCcRZEhDTBgOliKf9CgftuPwG8UuC0EeQnxQ9pr8qGVz\neO+E00AqW9Qd4irErkL8GojlLINpPgldD8qKaTbiaFy/C3JPkCXqD8JXDWEIozc1qERpCPa8RSzp\nUWe4j8A8NihazCmuRlh/5MiJRuU8BF0PgmdLTVt6I/cuIsehIpP8aIc/4R4gJaPTiDOQGIyNpENJ\nZ7gOxBwLGGVgfgLiKJx7jMukR9ujf0+Mp6alJwFI2kJ+qM0StF1KyfIaGqjIRMQY8lEyi4u+oWjQ\nq7aMtoushuAG9pFacEt0HI4fjdSCAbDA7orP+mAKi8yFEo0b75BIQTM5t5C0lax5Nnz2wHO5sVow\nAHMn9A1F45EkhwghoqZDVFFbRtt1PsW1EpA45JvBcwBmG8sgWAFt0LsnSB2cRASOE1quZCKEeBJA\n7pnqtB2tZmlVuSHANkW3o2jYn+RQaSoSNvynrJ50+i9lKHyCK7Ly+nDSwIJZcpDaek5aRoN6VKcd\n+nmir6w8F28ScU+zOj+QuheFz0nkbt/D5St1K6PqBgJ49+7djz/+2L59exsbGzMzMxcXly+//PLl\nS1XmX2XgmKH7CVi5kxyKW4vKnJq/6DHiWNyW3YjBBW8IvqVwmbmvry/t9fTE56S+7We4rtLUKzkE\n+UCiQU902EAi1xR1L1wSCWDTpk3Pnz8vKioSCASpqam7d+9u3779gwcKZ2HkwbNBr7PgyKREEZUj\ndWfNXzQYsRiiWITLyjtjuGZuVNkwiX369AEwZcoUpYU1rkdF2GD7YYqsO+I90tM1Hhln3yLxp7JN\n4bNH3nSAYqi6gQEBAaWlpV26dLl9+3ZxcXFRUVFYWJi3t3dpaWlAgLRLQVWsP0HrX0jkyTsg/rA8\ngQbvxFvEnccmKaEVbCdhLZuKhyotLa1Fixbm5uZZWVlWVh+dsjXBLbWsRwPCcTgGt6SEbdHHF5M0\nqe7hbKTukRa6fYeOcjwVaqLxDTQzMxMIBK9evWrevHmN8PXr1y1atDAzM6uoqJB3ohLEVbjYimQR\nnN8NOPYDLT1xOkhmZdqiLyUWDCAoKIggiJEjR2ppeVTVA6Ad/GU9FW/J7oNKZMmkWWCx4fadhrXJ\noPGFN2okd5dR48aNNVeIzYPrNyTy7JsfjmtetaakQzb0IssD3aiq/+DBg5A/BvDy8jI1NW3cuPHs\n2bMzM+V41FWoRy1s4Cg7Mi5Cjry5PUWUvUaZTHRk+x4UrunR+AYuXLgQwOeff37nzp2SkpKSkpLw\n8PBx48YBWLRokVY6NZ9MIswOlfyfBiMuQJaUxBbOVC3yioyMTE5OdnJy8vf3Jy0QHR1dVVX17t27\nPXv2+Pj4ZGSQLzlQWo+6NAbJ3ssCKHqKyCkmi77q2E99jcjR5gZ++eWXhw8fLisr6927t7W1tbW1\nta+vb0VFxbFjx2bN0s7rZ94I1jI3sPjDpjV9G7EQVZJtbbWxg1abXWsTGBgIYOLEibJxeoYPHx4e\nHl5RUZGVlRUUFOTg4PDu3bulS5eqW49m2INk/U05itWuSJBDIrTxVF8jcrS5gZIIx+np/xm8pqen\nv3jxoiaQkubIXmN1sWTbtr7nFCpQKiukak2MQCA4ceIE5LwKg4ODJf8wMzObPHmyg4PDoEGDLl8m\nmRxWXI9mkF5jBdTdggZU5pIITalZYKnlDVy2bNnKlSt9fHzWr1/foUMHAE+fPp0/f/7KlStZLNaK\nFSu0Uo70GgW5sGhitDOTZAQHBxcWFnp5eXl6Ku+ZunXrBiA3l8Qm1KqnLqHlDdy3bx+AEydO+Pr6\n1gwnJKlL9+7VRVihD+jbiM1Bsh9Gkw6JDMmrUMXu886dOwAaNmyoZT0qQnqN5hqsDzEj25FFOsZQ\nHy1vYH4+yXeqZCBRUFCgrXKk12jaAPo3Yi54JpCegMnDW+1rzs7ODgkJ4XK5EyZMkD3ar1+/U6dO\nZWVlVVdXp6en79q1S/JTjRo1Sq16NCYXJNsuNFnkRPpWLVA7sIEs2t9AHx8fAOPGjQsPD5d4J27f\nvi3xTnh7e2urn+w18mwkk3k0rLOpj4Y5eF1bIonwoKWD4vDhw0KhcMiQIaThr0NDQ0NDQ6WEnp6e\ny5YtU6sejSGN/1IfJO8BJViT7XDJkZ5J0QDtb+C6dev69ev38OFDqflqCwuL9evXa6Vc+VuSABpW\nH24FDWNiso1GhLYLYpS9CiMiIqZNm9asWTMul8vn8729vdesWRMVFVW/fn216tGMAmRmQ9q5Ww8O\nfKi/Yt2yOSxl0izkRaJUo0U2tdD+Bnbt2vXJkyczZsxo0aIFj8fj8XgtWrSYOXPm06dPu3TpopVy\nrwJJhI5+kv8bzrSz3USsqgMrMEkJw8FYSO+/oHraeS46kq0KqgOIKnDRhWQTIY3Tzo3gLjtyKMH7\np7iqf2X0QC7exOGOrLwVNB0mNvuCRJiyE4UxGlZo4MStIbFgs4Y1+ztoMGI2OG1AssbvES4Vykzm\nGTtiiG/jkOwSeDs0bgyylbKq4NAH9drItFSNR19pG97dACmOR/w6ErnrnJqdz/T4idvClwPp4Pci\nVF/G9ipoutbJIInAcdKQXF7or0X8Fxb5cp+8SDydr2mdBklVIe6MglgmNg3HAq0+rv2nx4gtUK8j\nBsnKC5AZgt0i1JHu5DluPsdNWXkDNHXXcsFTyxmwaUciT9qClB1a1Ww4iCoROQ4lZKuuWy+uHQWG\nthm7TviUNApgGmLOY5Ps+gqj4wHO38FRWTkLbD9M1TZuJ4uLznvJIzs9+hqxv2tVuSFQXYyw/si6\nTnLIph1a/1RbQJsRc8Dtg0mka4gzkHQRWzRZHGMYEBDfx5mHOE96tD38G6AZBc3YepOvsgUQswQx\nS0DoL6o+xVRk4vZg5N4lOcQ2QadtUhtYDDp4ykB86QQ1gi0bAhUouY5/5AVPaYLWQxFA1fJ/5cFT\nugTqI2YrteSGI/JzucFTOm2H69dSMvrDWIXiQDzInjmABVY79OuCUSb/JigwcFLx+DYOyVsKYgPH\n0fjZDJZUNinIQ0hnkmXyEswc0HGL0tCohoKoAjG/IfFPue8Ql6/gTTLip9+IxRDfwJ5kPJRXwAr2\nvfB5C3jpUyt1KUTWPZx5CbmZXazRYCQWWGkwRaeUslcI9UNZmtwCzkPRYROsDDvFU/o5RC8m/4yT\n0GwiugaSfgbQb8T4YMf/JEPRrm4nuHbDaAMcXZSh8BEuKgvtqjML/qCEMjtmm6DV/9D6V5jrPKS+\n2uTeQfRPyCMPKvmB5pPQ5YC8EMUGYcQACIjv4cxTXFMcjcERLdujfyt0omxYqQU5eB2NG6l4pNgn\n6ATXQfhK50G2y9MRMRbv7ysqw+ah6Xi4B6B+R90qowriarw9haTNSgKDg4XWi+H5u6EH2a4hFY9v\nYr9S/xoftq3R0x3ddRi2Wj6SdAdxuJMJZdH6gfbw746xlIXBVIy4Ck9/QPLfyks26IWWM2lOd/By\nr/JUNCb10DUQjUYoLmVYRgygAFk3sVd2zRcZHxLPNEEbW+g8p3tN4plXeKZKWicz8H0x0QVqZ2XT\nlrQjeDwXVSrso+by0XgknIagob9kdbluKXqBrBCkn1Uj8UzXQFi5KS1ocEaMf1OA3cdZVZIUSeCj\nfiN4NEQrJ7jYohFpOEoNKENBJlKzkGJsKcCy8eQ7vDmhavmPKcB6wL47pSnAYpEXgbx7yA5FxTtV\nT+RawnMl3OYqGELUxhCNWEIJ3kfhbBKiVDcdCTyY14ODDRzrw8kGjlawMwPfHFaSjKKkCFFVgdJK\nlJShsBDZkmSMhcjWIIl0AzTthjFN0FrdE6nn/9o7s9imrjSOf/fmeomzOgnEIQlpSAwthggKozBp\nizIUUVRUhqIJhYpAGmIQajuPVGVGrYZBajUP81CVh+A6BKUsFUsQUyg0DKEgJmyi7JuhWUkMSezg\nOI73Mw+3pG6W1stdzvG9v0fHOuf7+/xz7j3nnvt91u/h+kfRvPTxq2KM00GdA+pJoMqChAl/QPDa\nwdMLnj5wdYDjHgw+iKEY4wqY8y/iizGG0ged/4MD0SfLCYGGBAWoxpbFDYA//Cn/N0iBrAWwQg+l\nXF0HOAAFoX0P3Ph7RGVxJyRBAwmqccri+p0TFiiIiJw3YPZ2yIj4hCruJmYRpUB5+MRTgXIRiPsC\n5aE4wXYXzt+Hlmfw+y/3DvV7NFolRUczKTp73cmTxqQTHYMSEoth/ovwCoa71+PTew5a66HzIPjw\nOJeSoocXKmFaNSTGlD2HJBM/B/XAw3vQ0gbXfuOQ0I43TqTlJq2te22iL0zErWOd5r/895+dq5Oz\nxvcxA8pcmDEdFkyDuQyMU5EKdwIu6DwM7Xvg6Rk2g47QqHWQ92d4YR1klXHSHokmHgH1QVcH3O6E\nW1b4KfS+tvehY9v0A5v+s2TWsoiLt/ncgb/l7lvyUcniLb8c2KWA0sKUqWDIB8MU0BPp3bEEXPD0\nLFi/B+v34LjL76m3BA1k/RFy3gDdEkgv4bYgLNEm/oUgBG3w+Am0PoFHfdBVv/XIhT0PtrWuiu52\n4sBfW+4c7/q35YNMKjcbpmVD4WQoGJsuI67wOcB2BWyXoP8iPLsNztZY33RiUiB1OqTPgcwFkPkH\nSDNElwA8HOLExKH4fL78/PzqTes/+McGJ9iHwTEEAy545oahIAT84PU/r7RAAcXuu6khKRFSEyE1\nGdITIfXxzf5XSv7U3NzMJkyXIkEfDP0Ezp/A/QSGH4P7CbifgMcGAOB7BiPLa1oNCYmQoARlJqiz\nITEX1JNBkwfJxZxtNodBHJq4sbGxoqKitbU1Pz/6QrALFiwoKiras2cPh4HJ8EQcmvjNN99ECH33\n3TjVmcLHbDa///77XV1dWVmkHSqXHuKfBeOW9vb2kydPGo3GGNtZvXq1SqWSZ2IiiDcT79q1S6fT\nLV++PMZ2kpKS1qxZU1tby0lUMrwSVyYOBAJms3ndunUMw8FC2Gg03r17t6Ul1iRxMnwTVyY+efJk\nd3d37PcSLPPmzXv55ZdNpjFZz2QwI65MbDKZysvLp00bp4JndNTU1Ozfv39gIOKzbDJCEj8m7u7u\n/vbbb7mahlneffddmqb379/PYZsynBM/Jt69e7dWq125ciWHbaalpVVUVMh3FJgTJyYOBoMmk2nt\n2rVKJcenGoxG49WrV69exfIQowwAxI2Jm5ub29raNm7cyHnLZWVlBoNBnoxxJk5MbDKZysrKXnxx\nvHoWMVNTU7N3796hoSE+GpeJnXgwcW9vb2NjI7dLulAqKyu9Xi9bpVAGQ+LBxA0NDUlJSWypKT7I\nzMx8++235TsKbCHexAihnTt3rlmzJjExkb9ejEZjS0vLrVu3+OtCJmqIN/H58+fv37+/adMmXnsp\nLy/X6/VfffUVr73IRAfxJjaZTPPnzy8pGS/3P3dQFLVhw4aGhga3m/gU9vEH2Sa22+0HDhzgb0kX\nSlVV1eDg4OHDhwXoSyYiyDbx3r17OS/CPBHZ2dlvvfWWvLzDELJNvHPnzlWrViUnC5Ta0Wg0/vDD\nDw8ejCkyLCMqBJv48uXLN27cEOZegmXJkiVTqkhWpQAACaNJREFUp041m82C9SgTDgSb2GQyzZkz\nJ9bK15FA03R1dfXu3bt9Pi5Sj8lwBKkmHhwc3LdvX3V1tcD9VldX9/X1HT06fnkvGVEg1cTffPNN\nMBisrKwUuN+8vLylS5fKyzusINXEJpNp5cqV6enpwndtNBqbmpra2tqE71pmXIg08bVr1y5duiTk\nki6UZcuW6XS6uro6UXqXGQuRJjabzS+99NLChQtF6Z1hmKqqqrq6ukAgIEoAMqMgz8Qul6uhoUH4\nJV0oNTU1PT09MSYZkuEK8kx86NAht9tdVVUlYgyFhYWLFi2Sl3eYQJ6JTSbT8uXLRU+RZjQajx8/\n/vhx2BWBZHiDMBPfuXPn3LlzYi3pQlmxYkVGRkZ9fb3Ygchgb+JRi6e6urqioqLFixeLFc8ISqWy\nsrLSbDYHg79KsC6v9oQHaxO7XK6CgoJPPvmkvb0dADweT319/XvvvUdRWNTYMhqNbW1tp06dAgCX\ny7Vr166ysrKvv/5a7LgkB9b5ifv6+iZNmsRadvHixSUlJV988UVHR4dOpxM7tJ9ZuHChWq3W6/X1\n9fXDw8MAsGPHjs2bN4sdl7TAsu7ac9i35Nl/s9OnT586dUqhUHz66acffvjhrFmzxI3NZrOZTKaH\nDx/29PScOXOGPRKkVCrlN/uFB+vbCXZuYwkEAgghr9drNptLSkpef/31xsZGUU6T/fjjj5s3b87P\nz//444+tVisAjIRBUVRozDLCgPVM7HK5xn7Irpyam5tv3bp1+fLlqVOnChlSMBjctm3bkSNHJvrC\nuDHL8ArWM/FEl+aEhASNRnP69GmBHQwANE3v27evtLR03KRvCCHZxMKDtYnHNQS7zjt48KDBYBA8\nIgAAtVp97Nix3NxchUIx6k/BYFA2sfCQZ2KEUG1t7dKlS4WPZ4TMzMympqbk5OSEhITQz2UTiwLu\nJh61JUzT9JYtWzZs2CBWSCMUFRUdPXqUpunQCIPBoLw7ITy4mzh0qlMoFO+8887nn38uYkihvPrq\nq2NrhA0ODooSjJTB3cQ0/XOECoVi7ty5dXV1mDyuY6moqNi+fXtoSE6nU8R4pAnuJmb9wTBMXl7e\n8ePH1WrsqoRv3bp148aNI1cM+XZCeATdJ0YIud1ul8s1NDTk9/vZ5xcAwDAMTdOa54zMvuyDA5qm\nk5OTm5qaMjMzhYw2fL788kuLxXLu3Dmfzxe6sItUr0x0CGFit9tts9lsNtvAwAD7qIIdtpFjG+x0\nyx4HoygqJSUlIyNDq9W6XC6Px8MwzKFDh4qKigQINToYhjl48GBpaanFYhkeHo5ab2pqqngiCIZH\nEyOEnj592t3d7XA42GEbGcVRxxdDDyEhhBwOh9PpbGtra21tBYDa2tpFixbxFycnaLXaEydOzJs3\nb2ho6OLFi9HpValUOp1u3B1omd+AlwtZMBjs6uq6cOHCvXv3HA4HACCEIjoux466y+Vav359cXGx\nxWLBOacqq/fJkyefffbZyKQbhV6Px9PR0dHS0oK5Xtzg/ihmf3+/xWLxer2xt3z27NnXXnuNoiia\nphFCBQUF+fn5uN1BjtI7EnMsbeKsF0O4NLHf779//35fXx9XDY6CoiiVSjVz5syUlBSeuogIqenF\nFs5M7HA4bt++7fP5eD1lz85wRUVFubm5/PUSDlLTizPcmLi3t/fu3bvw6yULr+Tk5Oj1erEefEhN\nL+ZwYOLu7m6LxcJJNOFDUZRWqzUYDMLfMkpNL/7E+otYrVbhRxQAEEJ2u/3OnTsCvyMoNb1EEJOJ\n+/v7Rcz9jxCy2WxCWkpqekkhehO7XC7RJwaEkNVqFSYNj9T0EkSUJg4EAjdv3sTh0oYQevTo0bNn\nz3jtRWp6ySJKE7e2tno8HhwGleXevXujHu1yi9T0kkU0JnY4HI8fP8ZnRBFC7ANbntqXml7iiMbE\njx49wm3DEiHU0dHh8Xj4aFxqeokjYhPb7XaHw4HPtBQKH5OT1PSSSMQmbmtrw21aYkEI9fT0cD45\nSU0viURm4qGhIWynJRY2rxRXSE0voURmYqvVivNjT3Zy4rBBqekllMhG6OnTp5jv7Hg8HvYYPidI\nTS+hRGBip9Pp9Xr5C4UTKIqy2WycNCU1veQSgYntdjueS5xQ2AMGnDQlNb3kEoGJBwYG+IuDQ5xO\nJyf3AFLTSy6R3U7gvE4fgav8qlLTSy7hmjgYDOJ/g8jCSbp2qeklmnBNTNameuzvu0tNL9GEa2KC\nyrNRFOX3+2NsRGp6iSZcExP0MyGEYreg1PQSTbgmJmKJM0Lsq3Wp6SWacE08Kq8/zlAUFXu0UtNL\nNHFoYgBgmFgTJUpNL9GEa+LY8zSWl5eXl5dH+kkUIIRiH1Sp6SWacE2sVCpxPs8VCkJIo9HE2IjU\n9BJNBBmArly5Qkou/9LS0tgLI0hNL7lEMNmkpqbifyAGABiG4WREpaaXXCIwcXp6Ov4bT2zOMk6a\nkppeconMxPzFwRUIIa7ilJpeconAxEqlEv/KKBRFZWVlcdKU1PSSS2QLcJ1Ox1McnEBRVHp6ulKp\n5KpBqekllMhMnJWVhfNaByGUnZ3NYYNS00sokZlYoVBMmTIF23FVq9WTJ0/msEGp6SWUiPfz8/Ly\n+IgjdiiKys/P59xwUtNLIhGbWK1W5+Tk4PbbsYWG+LiFlZpeEonmyWphYSFuD+sRQnq9nqcHxVLT\nSxzR/AoMwxQXF3MeStSw20wZGRk8tS81vcQR5b/y5MmTdTodDhdZmqaVSuWMGTN47UVqeski+uuR\nXq/XaDTiXtEoikIIGQwGAS73UtNLENEPCU3Ts2fPVigU4s5PglWNlZpegohpXlGpVCUlJQkJCWKN\nq16vF/Khq9T0kgIHFUVdLtf169f9fr+QrytSFDV9+nRR9pikphd/uKnt7PF4bty4MTw8LMDZRYqi\nKIqaOXNmZmYm331NhNT0Yg43JgaAYDD48OFDvnM+UxSl0WgMBkNiYiKvHf0uUtOLM5yZmKW3t9di\nsfj9fs6nKJqmEUK5ubmFhYX4bPJLTS+ecGxiAPD7/e3t7WzpVk4aZ/eV0tPTi4uLk5KSYm+QW6Sm\nF0O4NzGL1+vt7Ozs7u6OZfXDDmdGRkZBQQHm59Olphcr+DIxi8/n6+3ttVqtg4OD8HyQfieg599R\nKBQ6nS47O5ug2UhqejGBXxOP4PP57Ha73W4fHBx0u93jJsBjT2YlJyenpaVptVqix1JqesVFIBOP\nwu/3e71ev98fCARommYYhmEYlUolfCTCIDW9AiOOiWVkOETeu5EhHtnEMsQjm1iGeP4PMUoMKECb\nxs0AAAAASUVORK5CYII=\n",
"text": "<IPython.core.display.Image at 0x9d630ac>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 30
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "From the above, the serial fission-fusion pairs from node 723 to 753 are combined into a single node."
},
{
"metadata": {},
"cell_type": "code",
"input": "graph_step2 = graph_step1.copy()\ncollider.remove_fission_fusion(graph_step2, max_split_frames=20)\ntarget = (723, 753)\ndisplay_image(collider.viz.render_nx_as_dot(collider.subgraph.nearby(graph_step2, target, 1), ref=False))",
"prompt_number": 31,
"outputs": [
{
"png": 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msW2LayDC6+Y8+eST33//fUFBQViYb+eRvffee0+fPp2Xl9c9Jpxkqtmd+fnn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\n",
"text": "<IPython.core.display.Image at 0x9cdf10c>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 31
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "This was a very productive step that reduced the number of nodes by about 80%. Most nodes are now degree 0, so no more simplification can be done with the limited graph data (topology and node age)."
},
{
"metadata": {},
"cell_type": "code",
"input": "print(\"Total nodes: {}\".format(len(graph_step2)))\ncollider.viz.direct_degree_distribution(graph_step2, (3, 4))\nplt.show()\nprint(\"Fraction of components that are single, 0-degree nodes: {:0.1f}%\".format(\n sum(100 for node in graph_step2 if graph_step2.degree(node) == 0) / n_components))",
"prompt_number": 32,
"outputs": [
{
"output_type": "stream",
"text": "Total nodes: 4194\n",
"stream": "stdout"
},
{
"png": 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5vLw8pkyZUm8BCSGEkmyt/tsSd/1AkE6ns/pI90IIYS0qLJDXnMjNB5goKysj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\nCKFyksiFEELl/j/hOMdX6xZyBwAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x1082caac>",
"output_type": "display_data",
"metadata": {}
},
{
"output_type": "stream",
"text": "Fraction of components that are single, 0-degree nodes: 91.5%\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Picking the threshold",
"level": 3
},
{
"metadata": {},
"cell_type": "markdown",
"source": "As an aside, the threshold used determines how long the blobs can remain apart before they are not combined. In theory, worms could touch, drift apart for a minute, then touch again. We shouldn't combine all the intervening nodes (the search is recursive, so it likely would), hence the threshold\n\nWhat to pick then? Well, at various threshold, the number of nodes remaining rapidly converge around 20-30 frames (about 2-3 seconds)."
},
{
"metadata": {},
"cell_type": "code",
"input": "split_frame_thresholds = [2**x for x in range(-1, 10)]\nnodes_after_removal = []\nfor ft in split_frame_thresholds:\n print(ft, '... ', end='')\n test_graph = graph_step1.copy()\n collider.remove_fission_fusion(test_graph, max_split_frames=ft)\n nodes_after_removal.append(len(test_graph))\n\nf, ax = plt.subplots()\nax.semilogx(split_frame_thresholds, nodes_after_removal)\nax.set_xlabel('Fission-fusion join threshold (frames)')\nax.set_ylabel('Nodes')\nax.set_xlim(0.5, 500)\nax.set_ylim(bottom=0)\nplt.show()",
"prompt_number": 33,
"outputs": [
{
"output_type": "stream",
"text": "0.5 ... 1",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 2",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 4",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 8",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 16",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 32",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 64",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 128",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 256",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... 512",
"stream": "stdout"
},
{
"output_type": "stream",
"text": " ... ",
"stream": "stdout"
},
{
"png": 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o33zz4+vQIes8SlgYhIfXbKmEhlpXe4m0JLoBUMEhl6m8HPLyfgyS6sGSmwtd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\n",
"text": "<matplotlib.figure.Figure at 0x10c666cc>",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Small dead-ends",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "It also seems to be fairly common for blobs to split, with one of the pieces quickly disappearing into the aether and the other carrying on. Pruning these leaves is another fairly easy and conservative next step."
},
{
"metadata": {},
"cell_type": "code",
"input": "target = (723, 753)\ndisplay_image(collider.viz.render_nx_as_dot(collider.subgraph.nearby(graph_step2, target, 5), ref=False))",
"prompt_number": 34,
"outputs": [
{
"png": 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EEGJn165dS0xM3LBhw6hRo5zZ7rPPPnvlypXMzEz3mvmU8hAhhNjZyy+/vH//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bYsQVn8/IA+PLs+x2ocBcpwElujnaEJHsaGels4eXMzOLT/WLWPGZbEY9++6rT+A0oHqcHoD77A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\n84G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NnA5zMMVTGDWGErOGWFLxDfXvUf0xB0MJZwSU0ucXTEk6i2s7hTl6kjmBOJMjohTU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\nAABJRU5ErkJggg==\n",
"text": "<IPython.core.display.Image at 0x100c340c>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 34
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "graph_step3 = graph_step2.copy()\nmax_dead_end_frames = 10\ncollider.remove_offshoots(graph_step3, threshold=max_dead_end_frames)\ncollider.remove_single_descendents(graph_step3)\ntarget = 512, 801\ndisplay_image(collider.viz.render_nx_as_dot(collider.subgraph.nearby(graph_step3, target, 1), ref=False))",
"prompt_number": 35,
"outputs": [
{
"png": 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+tg1xFK7f5RFUVVUlJyf36dNny5YtbNviZP7zn/8cP348JycnJCSEbVvsh+t3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\n5871XpEA4PF48+bN27RpU1ZWljHll19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b/H943tYdnzpcLsNAk0Qx/hWGdXbb5sQH2NCe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\nDMtfEb/0EgwbkNIAAAAASUVORK5CYII=\n",
"text": "<IPython.core.display.Image at 0xb720914c>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 35
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "print(\"Total nodes: {}\".format(len(graph_step3)))\n\ncollider.viz.direct_degree_distribution(graph_step3, (3, 4))\nplt.show()\n\nprint(\"Fraction of components that are single, 0-degree nodes: {:0.1f}%\".format(\n sum(100 for node in graph_step3 if graph_step3.degree(node) == 0) / n_components))",
"prompt_number": 36,
"outputs": [
{
"output_type": "stream",
"text": "Total nodes: 2984\n",
"stream": "stdout"
},
{
"png": 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AxMfHk56ezunTp/Hz82P27NlMnz6duLg4li5dir+/v3nBeq1WS1xcHFqtFjc3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\nSeRCCOHk/h84ZJK9TT5vjwAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x100a1aac>",
"output_type": "display_data",
"metadata": {}
},
{
"output_type": "stream",
"text": "Fraction of components that are single, 0-degree nodes: 96.5%\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Next?",
"level": 1
},
{
"metadata": {},
"cell_type": "markdown",
"source": "There is some unexpected connectivity that could be resolved from remaining non-1 components. Nodes splitting into 3 children is probably a tractable problem that can be addressed through modification of the \"fusion-fission\" joining functionality.\n\nPerhaps most productive, however, would be removing the junk around the plate boundary."
},
{
"metadata": {},
"cell_type": "code",
"input": "component_size_summary(graph_step3)",
"prompt_number": 37,
"outputs": [
{
"output_type": "stream",
"text": "Component sizes and example nodes in descending order\n 1. 89 nodes : (64893, 65193), 64525, 56335, 56336, 55831...\n 2. 43 nodes : (42727, 46005), (12151, 12154), (31978, 42704), (21997, 29200), 29201...\n 3. 40 nodes : 54274, (50175, 50631), (66594, 67832), 63639, (47148, 49766)...\n 4. 38 nodes : (28799, 28838), (29157, 29163), 28557, 28558, 28559...\n 5. 27 nodes : 41220, 41221, (22859, 24613), 42272, (47040, 51515)...\n 6. 24 nodes : (55122, 66957), (27631, 37497), (37574, 41652), (23011, 24768), 49454...\n 7. 20 nodes : 1473, (808, 1288), (1555, 1628), (1500, 3038), 1309...\n 8. 19 nodes : (52621, 53270), (53273, 53277), 54046, (53274, 53275), 55397...\n 9. 19 nodes : 5217, (5218, 5757), 4356, 4357, 4423...\n10. 18 nodes : (38413, 40769), 40772, (21157, 26832), 35398, 35399...\n",
"stream": "stdout"
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "target = 55833\ndisplay_image(collider.viz.render_nx_as_dot(collider.subgraph.nearby(graph_step3, target, 2), ref=False))",
"prompt_number": 38,
"outputs": [
{
"png": 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JRxbr2LFjM2fOnDdvHnmQvMkKDw8fOnTozJkzS0pKuI7FJJB8ZJlSUlKGDBnS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\nFZcJTlu/fv2qVavWrVvXtWtXt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jIy0rl9kny5wxX51omLyRP1iYyM5OD8VYqi/P39AwIC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\nQmCC\n",
"text": "<IPython.core.display.Image at 0x12071b2c>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 38
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "target = 63639\ndisplay_image(collider.viz.render_nx_as_dot(collider.subgraph.nearby(graph_step3, target, 4), ref=False))",
"prompt_number": 39,
"outputs": [
{
"png": 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X+IiogeIKQyL/8uabb547d+7LL7+02+0ASkoKFeQDAGQZhb8/1zkQIJQ/JCLcmeWXlPx2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\nU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FIkWQ6Q5XiFIEaECMY3o1eZoFejpR317ahrQ42lo4EaTZ6caeFIHYY5qbhsoA1p0KhB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\ngg==\n",
"text": "<IPython.core.display.Image at 0x9d5cbcc>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 39
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "",
"prompt_number": 39,
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
}
],
"metadata": {}
}
],
"metadata": {
"gist_id": "f42c056821c8ebe5cddf",
"name": "",
"signature": "sha256:61668c422804e50c444fd1e50ae95daca51ead756adf45f873b52d4c1cc56fd2"
},
"nbformat": 3
}
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