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stringclasses
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answer
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'U': (1.0, 0.5), 'C': (0.75, 0.93), 'K': (0.25, 0.93), 'D': (0.0, 0.5), 'R': (0.25, 0.07), 'F': (0.75, 0.07), 'H': (0.67, 0.07), 'Q': (0.5, 0.5)} radius = 0.0 connection_dict = {'U': ['C', 'F'], 'C': ['U', 'K'], 'K': ['C', 'D', 'Q', 'F'], 'D': ['K', 'R', 'H'], 'R': ['D', 'F', 'H'], 'F': ['R', 'U', 'H', 'Q', 'K'], 'H': ['R', 'F', 'D'], 'Q': ['K', 'F', 'H']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.01), 'C': (1.0, 0.01), 'H': (0.17, 0.99)} radius = 0.0 connection_dict = {'K': ['C', 'H'], 'C': ['K', 'H'], 'H': ['K', 'C']}
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", 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<image>
# 顶点坐标 coordinates = {'A': (1.0, 0.5), 'H': (0.75, 0.93), 'P': (0.25, 0.93), 'S': (0.0, 0.5), 'Y': (0.25, 0.07), 'D': (0.75, 0.07), 'E': (0.25, 0.36), 'X': (0.5, 0.64), 'L': (0.57, 0.73)} radius = 0.0 connection_dict = {'A': ['H', 'D'], 'H': ['A', 'P', 'X', 'E'], 'P': ['H', 'S', 'E'], 'S': ['P', 'Y'], 'Y': ['S', 'D', 'E'], 'D': ['Y', 'A', 'E', 'L'], 'E': ['D', 'P', 'Y', 'X', 'H', 'L'], 'X': ['E', 'H', 'Y', 'L'], 'L': ['D', 'X', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'E': (0.0, 0.07), 'D': (1.0, 0.07), 'L': (0.5, 0.93), 'J': (0.25, 0.5)} radius = 0.0 connection_dict = {'E': ['D', 'L', 'J'], 'D': ['E', 'L', 'J'], 'L': ['E', 'D', 'J'], 'J': ['E', 'L', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'W': (1.0, 0.5), 'K': (0.75, 0.93), 'D': (0.25, 0.93), 'P': (0.0, 0.5), 'I': (0.25, 0.07), 'O': (0.75, 0.07), 'S': (0.57, 0.62), 'E': (0.7, 0.22), 'Z': (0.32, 0.82)} radius = 0.0 connection_dict = {'W': ['K', 'O', 'D'], 'K': ['W', 'D', 'S', 'I'], 'D': ['K', 'P', 'S', 'W', 'O', 'Z'], 'P': ['D', 'I', 'Z'], 'I': ['P', 'O', 'S', 'K', 'E'], 'O': ['I', 'W', 'D', 'E', 'S'], 'S': ['D', 'I', 'K', 'E', 'O'], 'E': ['S', 'O', 'I', 'Z'], 'Z': ['P', 'E', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.52, 0.63), 'F': (0.41, 0.09), 'A': (0.0, 0.81), 'U': (0.21, 0.45), 'Q': (1.0, 0.91)} radius = 0.5513143051259363 # 连接关系 connection_dict = {'O': ['U'], 'F': ['A', 'U'], 'A': ['F', 'U'], 'U': ['A', 'F', 'O', 'Q'], 'Q': ['U']}
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wj+rr60NCQjiOO336NH8YjFNjNkpwd3efNm0aYToBAJzZ5s2biSg6OloCfUAMK4EwwwwATk6v1+/evZuIdDod6yz2gUoAABimbdu2mc3mhQsXhoWFsc5iH6gEAIDhMBqNhYWFJKEhAomhEurr63GWDgA4naKiIqPRGBwcHBUVxTqL3bCshEmTJimVyuvXr589e5ZhDACAoerr68vJySGizMxMmYzlB6l9sfw/kclkISEhhHtHAOBsSktL29rafH194+LiWGexJ8blhl2yAcDp2Gw2/utpqampCoWCdRx7YlwJmGEGAKdz4MCB48ePq1SqpKQk1lnsDJUAADA0/BAhMTHRy8uLdRY7Y7ahBc9gMEyYMIGIurq6VCoVwyQAAINRXV09f/58uVze1NQUEBDAOo6dMR4ljB8/3tfXl3CWDgA4CX6IEBsbK70+IOaVQNglGwCcR1NT0969e0laX0+7lVgqAdMJACB+OTk5Vqs1MjKSXy0pPewrAetQAcApGAyG4uJiku4QgcRQCThLBwCcQkFBgclkmjt3bkREBOssjsJ4xRERmUwmlUpltVr1er2fnx/bMAAAd2QymQIDAw0Gw549e2JjY1nHcRT2o4RRo0bxR0/g3hEAiNbOnTsNBoNGo4mJiWGdxYHYVwJhhhkAxM1isWzZsoWI0tPT5XI56zgOJKJKwDpUABCn8vLyxsZGtVqdkJDAOotjiagSMEoAABGy2WzZ2dlElJycrFQqWcdxLPbTy0TU2Ng4depUhULR3d0t7UEZADidL7/88uGHH1YoFOfOnfP29mYdx7FEMUroP0unoaGBdRYAgB/hd7CIj4+XfB+QSCoBZ+kAgDjV19dXVFRwHJeRkcE6ixBEUQmE6QQAEKXNmzcTUXR0NL9WXvJQCQAAd6bX63fv3k2S3sHiNuKqBKxDBQDx2LZtm9lsDg8PDwsLY51FIKJYcUREHR0d/NQNztIBADEwGo0BAQFGo/GDDz544oknWMcRiFhGCRMmTMBZOgAgHkVFRUajMTg4OCoqinUW4YilEgjTCQAgGn19fbm5uUSUmZkpk4noc9LRRPS/ikoAAJEoLS1tbW319fWNi4tjnUVQqAQAgB+x2Wz82tPU1FSFQsE6jqDEWAkimfEGANd08ODBuro6lUqVlJTEOovQRFQJM2bMkMlkBoOhvb2ddRYAcF38JneJiYleXl6sswhNRJUwatSoqVOnEr6dAADs1NTUHD58WC6Xp6Wlsc7CgIgqgTCdAACs8ZvcxcbGBgQEsM7CgLgqYfbs2YRKAABGmpqaysrKyJV2sLiNuCoBowQAYCgnJ8dqtUZGRvL/PHVBYtnQgtfQ0KDVat3d3bu7u93c3FjHAQAXYjAYAgMDTSbTp59++sgjj7COw4a4RgmTJ0/28PC4du0aztIBAIEVFBSYTKa5c+dGRESwzsKMuCoBZ+kAABMmk+m1114jIp1Ox3Ec6zjMiKsSCLtkAwALJSUlHR0dGo0mJiaGdRaWRFoJGCUAgGAsFgu/g0V6erpcLmcdhyXRVQLWoQKAwMrLyxsbG9VqdUJCAussjImuEvhRQlNTU09PD+ssACB9NpuN38EiOTlZqVSyjsOY6CphwoQJPj4+NpsNZ+kAgAAqKyurqqoUCsXzzz/POgt7oqsEwnQCAAiI38EiPj6eP+vXxaESAMB11dfXV1RUcByXkZHBOosoiLcSsA4VAByNX2gUHR2t1WpZZxEFcW1owauurp4/f/748eMvXrzoyt8ZAQCH0uv1Go3GbDYfPXo0LCyMdRxREOMoAWfpAIAA8vLyzGZzeHg4+qCfGCvBw8ODP0sH0wkA4CBGo/GNN94goqysLNZZRESMlUCYYQYABysqKjIajcHBwVFRUayziAgqAQBcTl9fX25uLhFlZmbKZCL9GGRCpL8XqAQAcJzS0tLW1lZfX9+4uDjWWcRF1JVw4sQJi8XCOgsASIrNZuPXnqampioUCtZxxEWMi1CJyGKxeHp6mkymU6dO3X///azjAIB0HDhwYNmyZSqV6vz5815eXqzjiItIRwlubm4zZ84k3DsCAHvjN7lLTExEH/yUSCuBMJ0AAA5QU1Nz+PBhuVyelpbGOosYoRIAwIXwm9zFxsYGBASwziJGqAQAcBVNTU1lZWVEpNPpWGcRKbFXQmNjI87SAQC7yMnJsVqtkZGR/OmN8FPirQRvb29vb2+bzVZfX886CwA4PYPBUFxcTBgiDEi8lUDYJRsA7KegoMBkMs2dOzciIoJ1FvESdSXwgztMJwDAPTKZTK+99hoR6XQ6bLk/AFFXAmaYAcAuSkpKOjo6NBpNTEwM6yyihkoAAImzWCz8Dhbp6elyuZx1HFET6YYWvN7eXpVKZbPZLly44OPjwzoOADild999NyYmRq1Wnzt3TqlUso4jaqIeJeAsHQC4Rzabjd/BIjk5GX1wV6KuBMK9IwC4N5WVlVVVVQqF4vnnn2edxQk4RyVgHSoADA+/g0V8fLy3tzfrLE7AOSoBowQAGIb6+vqKigqO4zIyMlhncQ5irwT+qwk4SwcAhoFfaBQdHa3VallncQ6iXnFEt5ylc/r06WnTprGOAwBOQ6/XazQas9l89OjRsLAw1nGcg9hHCW5ubiEhIYR7RwAwRHl5eWazOTw8HH0weGKvBMJ0AgAMndFofOONN4goKyuLdRZngkoAAAkqKioyGo3BwcFRUVGsszgTp6kErEMFgEHq6+vLzc0loszMTJnMCT7lxMMJfrNwlg4ADElpaWlra6uvr29cXBzrLE6GQSWcPXs2NjZ24sSJHh4ewcHBL7/8cm9v7wDP9/HxwVk6ADBINpuNX3uampqqUChYx3EyQlfC+fPnFyxY8H//938pKSm5ubm/+MUvXnrppVWrVg38KkwnAMAgHTx4sK6uTqVSJSUlsc7ifITeJ3bXrl1Xr149cuQIv7Q0MTHRarX+9a9/vXLlytixY3/uVbNmzfrss89QCQBwV/wmd4mJiV5eXqyzOB+hRwlGo5GIbt3p2s/PTyaTjRw5coBXYZQAAINRU1Nz+PBhuVyelpbGOotTEroSFi9eTERr16797rvvzp8//9///d9vvPHGhg0bBt60FpUAAIPBb3IXGxsbEBDAOotTYrChxcaNG1999VWTycT/8g9/+MPGjRsHfgnO0gGAu2pqatJqtVar9fvvv+e3R4OhYnDmnEajWbRo0a9//etx48Z9+OGHr776qq+vb0pKygAv8fDwmDJlSkNDQ11dHSoBAO4oJyfHarVGRkaiD4ZN6EooLS1NTEw8c+bMxIkTieipp56yWq0vvvjiqlWrxo0bN8ALZ8+ezVfCo48+KlRYAHAaBoOhuLiYiHQ6HessTkzouYSCgoLQ0FC+D3grVqzo7e399ttvB34hphMAYAAFBQUmk2nu3LkRERGsszgxoSuhvb39tpMPzGYzEd24cWPgF6ISAODnmEym1157jYh0Oh3HcazjODGhK2HatGnffvvtmTNn+h/Zs2ePTCa7670/vhJwlg4A/FRJSUlHR4dGo4mJiWGdxbkJXQk6nc5isSxcuPBPf/pTQUHB448/Xl5enpCQ4O/vP/ALp0yZMmrUKJPJ1NTUJExUAHAKFouF38EiPT1dLmewZEZKhK6ERYsWffXVVw8++GBBQUFaWlpjY+Mrr7zCb2s+MDc3txkzZhDuHQHAj5WXlzc2NqrV6oSEBNZZnB6DRl2wYMFHH300jBfOmjWrpqamtrb2qaeesnsqAHBGNpuN38EiOTl54G+8wmA4webY/fj5BowSAKBfZWVlVVWVQqF4/vnnWWeRAmeqBCw6AoDb8DtYxMfHe3t7s84iBQw2tBi29vZ2X19fjuO6u7s9PDxYxwEAxurr60NCQjiOO336tFarZR1HCpxplODj4zNhwgScpQMAPH6hUXR0NPrAXpypEgj3jgDgH/R6/e7duwk7WNgVKgEAnFJeXp7ZbA4PDw8LC2OdRTqcshJqa2tZBwEAloxGI/99pqysLNZZJMUpKwGjBAAXV1RUZDQag4ODo6KiWGeRFCerBH51wcWLFy9evMg6CwCw0dfXl5ubS0SZmZkymZN9iImck/1uKpXKKVOmEAYKAC6stLS0tbXV19c3Li6OdRapcbJKINw7AnBtNpuNX3uampqqUChYx5EaVAIAOJODBw/W1dWpVKqkpCTWWSQIlQAAzoTf5C4xMdHLy4t1Fglypg0teKdPnw4ODh41alRXV5ebmxvrOAAgnJqamnnz5snl8qampoCAANZxJMj5RglTp051d3fHWToALojf5C42NhZ94CDOVwlubm4hISGEe0cALqapqamsrIywg4UjOV8lEKYTAFxSTk6O1WqNjIy861HtMGyoBABwAgaDobi4mDBEcDBUAgA4gYKCApPJNHfu3IiICNZZpMz5VhwR0YULF/z8/GQyWVdXF87SAZA8k8kUFBTU0dGxZ8+e2NhY1nGkzClHCT4+PuPHj7darThLB8AVlJSUdHR0aDSamJgY1lkkzikrgeM43DsCcBEWi4XfwSI9PV0ul7OOI3FOWQlExC85QCUASF55eXljY6NarU5ISGCdRfqctRIwSgBwBTabjd/BIjk5WalUso4jfagEABCvysrKqqoqhUKRkpLCOotLcNZK4M/SaW9v7+joYJ0FAByF38EiPj7ex8eHdRaX4KyVoFQqJ0+eTBgoAEhXfX19RUUFx3EZGRmss7gKZ60E+se9o9raWtZBAMAhtmzZQkQrV67UarWss7gKp68EjBIAJEmv1+/atYuIsrKyWGdxIU5cCViHCiBheXl5ZrM5PDw8LCyMdRYX4pQbWvD4s3Q8PDy6urpkMifuNgC4jdFoDAwM7Ozs3Ldv34oVK1jHcSFO/EnKn6XT29uLs3QAJKaoqKizszM4OHj58uWss7gWJ64ENze3GTNmEO4dAUiL2WzOzc0loszMTNwAEJhz/3ZjhhlAekpLS1tbW319fePi4lhncTmoBAAQEZvNxn89LTU1VaFQsI7jcqRQCfhqAoBkHDx4sK6uTqVSJSUlsc7iiqRQCQ0NDSaTiXUWALADfoiwbt06Ly8v1llckRMvQiUim83m7e1tMBiqq6sffPBB1nEA4J7U1NTMmzdPLpc3NjYGBgayjuOKnHuUgLN0AKSEHyLExsaiD1hx7kogzDADSEVzc3NZWRkRZWZmss7iulAJACAKW7dutVqtkZGRc+bMYZ3FdaESAIC9S5cubd++nYh0Oh3rLC7N6SshJCSEiC5cuICzdACcV0FBQW9vb2hoaEREBOssLs3pK0GlUuEsHQCnZjKZ8vPziSgrK4vjONZxXJrTVwJhl2wAJ1dSUtLR0aHRaGJiYlhncXVSqARMJwA4L4vFwp+e9sILL8jlctZxXB0qAQBYKi8vb2hoUKvVa9euZZ0FJFQJJ06csFqtrLMAwBD0b3KXnJysVCpZxwEn39CCd+PGDZVKdf369YaGhilTprCOAwCDVVlZuWjRIoVC0dLS4uPjwzoOSGKUIJfL+bN0sCUqgHPJzs4movj4ePSBSEihEgjTCQBOqL6+vqKiguO4jIwM1lngJolUAtahAjgdfqHRypUrtVot6yxwk0QqAaMEAOei1+t37dpFRFlZWayzwD9JqhLOnj2Ls3QAnEJeXp7ZbA4PDw8LC2OdBf5JIpXg6+s7btw4q9V68uRJ1lkA4C6MRmNhYSFhkzvxkUgl4CwdACdSVFTU2dkZHBy8fPly1lngRyRSCfSPe0dYhwogcmazOTc3l4gyMzNlMul8BEmDdP48MEoAcAqlpaWtra2+vr5xcXGss8DtpFMJWIcKIH79O1ikpqYqFArWceB2UtjQgtfd3e3p6UlEHR0d48ePZx0HAO7gwIEDy5YtU6lU58+f9/LyYh0HbiedUQLO0gEQP36IsG7dOvSBOEmnEgjTCQDiVlNTc+jQIblcnpaWxjoL3BkqAQAEwg8RYmNjAwMDWWeBO0MlAIAQmpuby8rKiCgzM5N1FvhZEqyE48eP4ywdALHZunWr1WqNjIycM2cO6yzws6Sz4ohwlg6AWF26dCkwMLC3t/fTTz995JFHWMeBnyWpUUL/WTq4dwQgKgUFBb29vaGhoREREayzwEAkVQmE6QQA8TGZTPn5+USUlZXFcRzrODAQVAIAOFZJSUlHR4dGo4mJiWGdBe4ClQAADmSxWPjT01544QW5XM46DtyFpKaXiUiv1993330ymaynp8fd3Z11HABX9+6778bExKjV6nPnzimVStZx4C6kNkrw8/NTq9VWq7W+vp51FgBX17/JXXJyMvrAKUitEnCWDoB4HDly5NixYwqFIiUlhXUWGBSpVQJhl2wA0cjOziai+Ph4Hx8f1llgUCRYCRglAIhBfX19RUUFx3EZGRmss8BgoRIAwCH4hUYrV67UarWss8BgSW3FERF1dXWNHj2aiAwGw7hx41jHAXBFer1eo9GYzeajR4+GhYWxjgODJcFRgqen56RJkwgDBQB28vLyzGZzeHg4+sC5SLAS6B/3jmpra1kHAXBFRqOxsLCQiHQ6HessMDRSrgSMEgCYKCoq6uzsDA4OXr58OessMDTSrASsQwVgxWw25+bmElFmZqZMJs1PGAmT5h8YztIBYKW0tLS1tdXX1zcuLo51FhgyaVaCVqtVKBQ9PT0//PAD6ywALqR/B4vU1FSFQsE6DgyZNCtBLpdPnz6dcO8IQFgHDx6sq6tTqVRJSUmss8BwSLMSCDPMACzwQ4R169Z5eXmxzgLDIfFKwDpUAMHU1NQcOnRILpenpaWxzgLDJPFKwCgBQDD8ECE2NjYwMJB1FhgmCW5owePP0nFzc+vu7sZZOgCO1tzcPHXqVKvV+t13382ZM4d1HBgmyY4S+LN0LBbLyZMnWWcBkL6tW7dardbIyEj0gVOTbCXgLB0AwVy6dGn79u2EHSycn2QrgTCdACCUgoKC3t7e0NDQiIgI1lngnqASAOCemEym/Px8IsrKyuI4jnUcuCeoBAC4JyUlJR0dHRqNJiYmhnUWuFdSroSZM2cSkV6vv3TpEussANJksVj409NeeOEFuVzOOg7cKylXAs7SAXC08vLyhoYGtVq9du1a1lnADqRcCYR7RwCO1L/JXXJyslKpZB0H7ACVAADDdOTIkWPHjikUipSUFNZZwD5QCQAwTNnZ2UQUHx/v4+PDOgvYh2Q3tODV19eHhISoVKrOzk4c8ARgR/xfLo7jTp8+rdVqWccB+5D4p6RWqx05cmR3d3dLSwvrLACSwi80WrlyJfpASiReCSNGjODP0sEu2QB2pNfrd+3aRURZWVmss4A9SbwSCNMJAA6Ql5dnNpvDw8PDwsJYZwF7kn4lzJ49m1AJAPZjNBoLCwsJm9xJkfQrAaMEAPsqKirq7OwMDg5evnw56yxgZ65SCWfOnLl+/TrrLABOz2w25+bmElFmZiZW8UmP9P9E/f39x44di7N0AOyitLS0tbXV19c3Li6OdRawP+lXAs7SAbCX/h0sUlNTFQoF6zhgf9KvBPrHvSNh1qF+2fLlE3ue8N/iz/0XV36qvP9xm832H4f/w2+L36hXRj3610fPXjrb/6PLpsur31s9+v+N9vqz19p9a7v7uvt/VFRTFJQbFPpm6LHWYwKEBxjYwYMH6+rqVCpVUlIS6yzgEC5UCcKMEnr6eub4zHn98ddvezz7f7PzjuUVRhUe+/0x5Uhl5O7Iazeu8T9a/d7qExdP/O13f6v414ovz32ZuD+Rf/xc57nsr7JLf136h4V/eHbfswKEBxgYP0RYt26dl5cX6yzgGDYX8NVXXxGRv7+/kBel/6T3T77P/7fVavXd7Lvpfzfxv7xquqr4k2JP3R6bzVZ/sZ7+k75u+5r/0cdnP+b+k2szttlstrr2unlvzeu+3t10uUmTqxEyPMBPVVdXE5FcLm9paWGdBRzFJUYJ/WfpXL58mUmA5qvNF7ovPDr5Uf6XY9zHPDTxoaPnjxLR0dajXu5e8/zn8T96dPKjMk7G3yaa6T1ztvfsMX8eE1IQsnHJRibJAfrxQ4TY2NjAwEDWWcBRXKISPD09NRoNsZthvtB9gYh8lP/cLdJH6XOh5wL/I2+ld//jcplcPUrNP5+Iip8sbs9sv5R1afXs1cJGBviR5ubmsrIyIsrMzGSdBRzIJSqBnPkLa+M8xo0aMYp1CnB1W7dutVqtkZGRc+bMYZ0FHAiVIARflS8Rtfe09z/S3tPuq/Tlf3Sx52L/4zesNy6bLvPPBxCJS5cubd++nbCDhQtwrUpgtR/qJK9Jvirfz5o+439pvG481nrsFwG/IKJfTPzF1WtXa/Q1/I8ONR+y2qwPTXyISU6AOyooKOjt7Q0NDY2IiGCdBRxLzjqAQPhKOH78uNVqdei38Lv7uhsuN/D/3Xyl+bsL36lHqQPHBKY9lLaxcqN2nHaS16Q/Hv6jv6f/yuCVRDR9wvSlU5eu27+ucHmh2WJO+Sgldmasv6e/4xICDInJZMrPzyeirKwsjuNYxwHHkvipav3MZrNKperr62tqapo0aZLjLvT5D58vKVly6yNr5qzZuXKnzWZ76fOX3qp56+q1q+GB4QVRBdPGTeOfcNl0OeWjlP1n9ss42a+n/zpvWZ5qpMpxCQGGpLCw8LnnntNoNGfPnpXLXeUfkS7LVSqBiB544IHvv/9+3759K1asYJ0FwDlYLJbg4OCGhoZt27Zt2LCBdRxwOFeZSyDWM8wAzmjfvn0NDQ1qtXrt2rWss4AQUAkAcGc2my07O5uIkpOTlUol6zggBFQCANzZkSNHjh07plAoUlJSWGcBgbhcJZw+fRpn6QAMBr+DRXx8vI+Pz12fDNLgQtPLNptNrVZfvXr122+/feCBB1jHARC1+vr6kJAQjuNOnz6t1WpZxwGBuNAogeO42bNnE+4dAQzCli1biGjlypXoA5fiQpVAmE4AGBy9Xr97924iysrKYp0FBIVKAIDb5eXl9fX1hYeHh4WFsc4CgkIlAMCPdHV1FRYWEja5c0muVQn8WTptbW1XrlxhnQVApIqKijo7O4ODg5cvX846CwjNtSph9OjRQUFBRFRTU9faSg0NdP489fayjgUgGmazOScnh4gyMzMdukEkiJPLbWKlUMwiannssVqiRf0PenvTAw/QokX0xBM0axZht0dwWaWlpa2trb6+vnFxcayzAAMu96+A8eNnERFRnVxOKhWNGEFEdPEiffIJ/fu/05w59MADtH079fUxTQnAgs1m47+elpqaqlAoWMcBBlyuEp5+ejYRzZ9f19dHXV10/TpdvUpVVfTaa7RiBSkUVFtLa9fS9On0wQesswII6+DBg3V1dSqVKikpiXUWYMPlKuGxx2YR0alTx4lsRMRxNGYMzZ9P69fTvn2k19OmTeTjQ01N9OST9LvfUXc368QAQuGHCOvWrfPy8mKdBdhwoQ0teGazWalUms3m5uZmjUZzx+d0d9PGjbRpE1mtNGsWffghBQQImxJAcDU1NfPmzZPL5Y2NjYGBgazjABsuN0oYMWLE9OnTacBvJ6hU9Oc/0xdfkK8v1dXRwoXU0iJgRAAW+CFCbGws+sCVuVwl0KC/sBYeTseOkVZLLS0UGUn4JgNIWHNzc1lZGRFlZmayzgIsuW4l1NbW3vWZgYF06BAFBNDp0/TMM+Ri99jAheTk5Fit1l/96ldz5sxhnQVYct1KGOS2FhMn0r59pFBQRQUVFzs4GQALly5dKi4uJmxyB65ZCfwW2YM/Syc0lF55hYjoxRdx+wgkqKCgoLe3NzQ0NCIignUWYMwVK+G+++7z8vKyWCynTp0a5EtSUykkhC5fpq1bHRoNQGgmkyk/P5+IdDodhy/uuzxXrASO44a6JapcTv/1X0REBQVkMjkuGoDQSkpKOjo6goKCnn76adZZgD1XrAQa1i7ZK1dSYCBdvkz79zssFoCwLBYLf3paenq6XO5yO57BT6ESBsvNjf71X4mI3n/fQaEAhLZv376GhoaxY8cmJCSwzgKi4NKVMJh1qLd6/HEiokOHsBoVpMBms2VnZxPR+vXrVSoV6zggCi63oQWvs7OT38Xl8uXLY8eOHeSrrl0jlYosFjp/niZOdGA8AAFUVlYuWrRIoVC0tLT4+PiwjgOi4KKjhDFjxvBn6Qzp3pG7O02eTER09qyDcgEIh9/BYs2aNegD6Oe6E0pBQUEtLS1FRUXNzc2DfxV/zNT//A+dO+eoYAAC6Orq2r9/P8dxGRkZrLOAiLjojSMiWrx48RdffME6BQBL0dHR7733HusUICKuO0qYP39+XV2dt7f3z22RfUdnz1JnJ2k0NH68w5IBCEKpVP75z39mnQLEReKjhMbGxuzs7L/97W96vX7kyJGzZs36zW9+k5iYOGrUKNbRAERn586dzz777E8fP3r0aFhYmPB5QHhSHiV8+OGHTz/9tEKheOaZZ2bOnNnX13fkyBGdTnfixIm33nqLdToAkXr55ZcnTZp06yNTp05lFQYEJtlKaG5ujo2NDQoKOnTokJ+fH//g+vXrGxoaPvzwQ7bZAMRs2bJl8+bNY50C2JDsItTs7Ozu7u7i4uL+PuBNnTo1NTWVVSoAADGT7Chh//79kydP/uUvf8k6CICT6ezsNBgM/b/kOG7cuHEM84CQpDlKMBqNbW1t/K4VIKRvvvlmxYoVarXaw8Nj5syZeXl5rBPBkD366KMTbnHfffexTgTCkeYowWg0EpGnpyfrIK7lk08+eeKJJ0JDQ//4xz+qVKrGxsbW1lbWoWDIXn/99WnTpvX/0s3NjWEYEJg0K2H06NFE1NXVxTqICzEajc8880xUVNTevXtlMmmOPl3EggULML3ssqT5V3f06NH+/v7Hjx9nHcSFvPPOO+3t7a+88opMJuvp6bFarawTAcCQSbMSiGj58uWNjY1Hjx5lHcRVfPrpp6NHj25ra7v//vtVKtXo0aOfe+65a9eusc4FAEMg2UrIyspSKpW///3v29vbb328sbFx27ZtrFJJ2NmzZ2/cuPHkk09GRka+++67CQkJhYWFd/wqLACIljTnEohoypQp77zzzm9/+9vp06f3f3v5q6++Kisri4+PZ51Ogrq7u3t7e5OSkvhVRk899VRfX9+bb7758ssva7Va1ulgCD7++ONTp07d+sgvf/nLyfy+8CB5Nkk7c+bMunXrNBrNyJEjPT09/+Vf/iU/P//atWusc0lQSEgIEX3xxRf9j/AbzZaUlDBMBUOyY8eOO35K7Nixg3U0EIhkRwk8rVaL7YyE4e/vf+LEiVsPY/H29iaiK1eusAsFQxMfH48xtIuT7FwCCOzBBx8kora2tv5H9Ho9EU2YMIFZJgAYIlQC2MdvfvMbIiouLu5/5O2335bL5YsXL2aWCQCGSOI3jkAwoaGhCQkJ27dvv3HjxsMPP/z555+XlZX927/9m7+/P+toADBYEj9CB4RkNptfffXVHTt26PX6oKCg9evXp6WlsQ4FAEOASgAAgJswlwAAADehEgAA4CZUAgAA3IRKAACAm1AJAABwEyoBAABuQiUAAMBNqAQAALgJlQAAADehEgAA4CZUAgAA3IRKAACAm/4/KZNVvszdyGgAAAAASUVORK5CYII=", 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<image>
# 顶点坐标 coordinates = {'C': (0.13, 0.14), 'E': (0.67, 0.14), 'K': (1.0, 0.86), 'G': (0.0, 0.86)} radius = 0.0 connection_dict = {'C': ['E', 'G'], 'E': ['C', 'K'], 'K': ['E', 'G'], 'G': ['C', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.46, 0.37), 'U': (1.0, 0.37), 'P': (0.0, 0.63), 'A': (0.73, 0.37)} radius = 0.5358983848622454 # 连接关系 connection_dict = {'O': ['U', 'P', 'A'], 'U': ['O', 'A'], 'P': ['O', 'A'], 'A': ['O', 'U', 'P']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (1.0, 0.5), 'M': (0.75, 0.93), 'Y': (0.25, 0.93), 'W': (0.0, 0.5), 'N': (0.25, 0.07), 'Q': (0.75, 0.07), 'T': (0.13, 0.72)} radius = 0.0 connection_dict = {'G': ['M', 'Q'], 'M': ['G', 'Y'], 'Y': ['M', 'W', 'T'], 'W': ['Y', 'N', 'T'], 'N': ['W', 'Q'], 'Q': ['N', 'G'], 'T': ['W', 'Y', 'Q']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.0, 0.36), 'L': (1.0, 0.36), 'G': (0.96, 0.64), 'K': (0.5, 0.36), 'E': (0.99, 0.43)} radius = 0.0 connection_dict = {'J': ['L', 'G', 'K'], 'L': ['J', 'G', 'K', 'E'], 'G': ['J', 'L', 'K', 'E'], 'K': ['J', 'L', 'G', 'E'], 'E': ['G', 'L', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Y': (0.86, 0.38), 'S': (0.58, 0.76), 'K': (0.14, 0.61), 'C': (0.14, 0.14), 'U': (0.58, 0.0), 'W': (0.29, 0.1), 'I': (0.58, 1.0), 'D': (0.5, 0.5)} radius = 0.0 connection_dict = {'Y': ['S', 'U', 'D', 'K'], 'S': ['Y', 'K', 'W', 'I'], 'K': ['S', 'C', 'D', 'Y'], 'C': ['K', 'U', 'W', 'I'], 'U': ['C', 'Y', 'W', 'I'], 'W': ['S', 'U', 'C', 'I', 'D'], 'I': ['W', 'U', 'S', 'C'], 'D': ['K', 'W', 'Y']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.25, 0.37), 'I': (0.5, 0.81), 'N': (0.17, 1.0), 'L': (0.83, 0.62), 'Z': (0.22, 0.54), 'G': (0.53, 0.58), 'F': (0.6, 0.0)} radius = 0.5092913803306343 # 连接关系 connection_dict = {'O': ['Z', 'N'], 'N': ['L', 'I', 'Z', 'O'], 'L': ['N', 'I', 'Z', 'G'], 'I': ['N', 'L'], 'Z': ['O', 'N', 'L', 'G'], 'F': ['G'], 'G': ['F', 'Z', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.08, 0.5), 'J': (0.5, 1.0), 'F': (0.92, 0.5), 'G': (0.5, 0.0), 'B': (0.5, 0.5), 'C': (0.75, 0.71), 'E': (0.5, 0.71)} radius = 0.0 connection_dict = {'D': ['J', 'G', 'F', 'B'], 'J': ['D', 'F', 'C'], 'F': ['J', 'G', 'D', 'B', 'C'], 'G': ['D', 'F', 'E'], 'B': ['D', 'F', 'C', 'E'], 'C': ['J', 'F', 'B', 'E'], 'E': ['G', 'B', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.37, 0.54), 'I': (0.9, 0.54), 'Q': (0.1, 1.0), 'E': (0.1, 0.54), 'P': (0.37, 0.0)} radius = 0.5358983848622454 # 连接关系 connection_dict = {'O': ['I', 'Q', 'E', 'P'], 'I': ['O', 'E'], 'Q': ['O', 'E'], 'E': ['O', 'I', 'Q'], 'P': ['O']}
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", 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<image>
# 顶点坐标 coordinates = {'H': (0.98, 0.5), 'N': (0.61, 1.0), 'Y': (0.02, 0.81), 'Q': (0.02, 0.19), 'S': (0.61, 0.0), 'A': (0.79, 0.25), 'M': (0.55, 0.23), 'C': (0.58, 0.12)} radius = 0.0 connection_dict = {'H': ['N', 'S', 'A'], 'N': ['H', 'Y'], 'Y': ['N', 'Q', 'A', 'M'], 'Q': ['Y', 'S', 'M'], 'S': ['Q', 'H', 'A', 'C', 'M'], 'A': ['S', 'H', 'Y', 'M'], 'M': ['Y', 'A', 'Q', 'C', 'S'], 'C': ['M', 'S', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.98, 0.5), 'Z': (0.61, 1.0), 'I': (0.02, 0.81), 'N': (0.02, 0.19), 'S': (0.61, 0.0), 'C': (0.32, 0.4), 'T': (0.11, 0.25), 'B': (0.77, 0.44)} radius = 0.0 connection_dict = {'D': ['Z', 'S', 'B', 'T'], 'Z': ['D', 'I', 'B'], 'I': ['Z', 'N', 'C', 'S'], 'N': ['I', 'S', 'C', 'T'], 'S': ['N', 'D', 'C', 'I', 'T'], 'C': ['I', 'S', 'N', 'T'], 'T': ['N', 'C', 'S', 'B', 'D'], 'B': ['D', 'T', 'Z']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'U': (0.98, 0.5), 'Q': (0.61, 1.0), 'P': (0.02, 0.81), 'L': (0.02, 0.19), 'I': (0.61, 0.0), 'J': (0.79, 0.56), 'E': (0.72, 0.75), 'Z': (0.46, 0.4)} radius = 0.0 connection_dict = {'U': ['Q', 'I', 'J', 'P'], 'Q': ['U', 'P', 'E', 'J'], 'P': ['Q', 'L', 'J', 'U'], 'L': ['P', 'I', 'E', 'Z', 'J'], 'I': ['L', 'U', 'J'], 'J': ['P', 'U', 'I', 'E', 'Q', 'Z', 'L'], 'E': ['Q', 'J', 'L', 'Z'], 'Z': ['L', 'E', 'J']}
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", 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<image>
# 顶点坐标 coordinates = {'K': (1.0, 0.5), 'J': (0.5, 1.0), 'B': (0.0, 0.5), 'M': (0.5, 0.0), 'Y': (0.8, 0.3), 'Z': (0.4, 0.4), 'C': (0.47, 0.11)} radius = 0.0 connection_dict = {'K': ['J', 'M', 'Y'], 'J': ['K', 'B', 'Y'], 'B': ['J', 'M', 'Z', 'Y', 'C'], 'M': ['B', 'K', 'Y', 'C', 'Z'], 'Y': ['M', 'K', 'J', 'Z', 'B'], 'Z': ['Y', 'B', 'K', 'C', 'M'], 'C': ['Z', 'M', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.0, 0.4), 'K': (1.0, 0.4), 'G': (0.82, 0.6), 'L': (0.18, 0.6), 'D': (0.41, 0.5), 'H': (0.42, 0.6), 'C': (0.38, 0.51)} radius = 0.0 connection_dict = {'I': ['K', 'L', 'G', 'D'], 'K': ['I', 'G'], 'G': ['K', 'L', 'I', 'D', 'H'], 'L': ['I', 'G', 'H', 'C'], 'D': ['I', 'G', 'H', 'C'], 'H': ['G', 'L', 'D', 'C'], 'C': ['L', 'D', 'H']}
[ { "bytes": 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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'A': (0.35, 0.5), 'J': (0.5, 1.0), 'L': (0.65, 0.5), 'H': (0.5, 0.0), 'K': (0.5, 0.5), 'D': (0.38, 0.62)} radius = 0.0 connection_dict = {'A': ['J', 'H', 'L', 'K', 'D'], 'J': ['A', 'L', 'D'], 'L': ['J', 'H', 'A', 'K'], 'H': ['A', 'L'], 'K': ['A', 'L', 'D'], 'D': ['A', 'J', 'K']}
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", 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<image>
# 顶点坐标 coordinates = {'Z': (0.96, 0.51), 'J': (0.61, 1.0), 'H': (0.04, 0.81), 'P': (0.04, 0.21), 'T': (0.61, 0.03), 'V': (0.61, 0.79), 'M': (0.04, 0.0)} radius = 0.0 connection_dict = {'Z': ['J', 'T'], 'J': ['Z', 'H', 'V'], 'H': ['J', 'P', 'M'], 'P': ['H', 'T', 'V', 'M'], 'T': ['P', 'Z', 'V'], 'V': ['P', 'T', 'J', 'M'], 'M': ['P', 'V', 'H']}
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3b15gYKCtrW1ERISWlhatGMnJYGHxowPy8vKqV68uEAjatGkjnnSGUKWUlJQ0bNgwNjZ23rx5y5Ytox0H4XwCxRAbG7tu3ToAWLduHcUyAPCTMgAAhoaGAQEBABASEkLWk0GosrS1tckNv3bt2jjxGDVED7YJFMLAgQPPnj3brVu369evUxk5WikikcjU1DQrK8vc3ByfEaGqYRime/fuwcHBAwcOJGurIIqwTUDfrVu3zp49q6amFhQUpPhlAADU1NT27t0LAKmpqWvWrKEdB7ESh8PZsGGDmpramTNnsHFJHbYJKBMIBM2bNw8LC5s6deqWLVtox6mEJk2ahIWFaWlp5eTkkMXFEKqsqVOnbtu2zdnZOTQ0lMvl0o6jurBNQNnu3bvDwsJMTExYt3f82bNnORxOaWnpypUraWdBbLV06VITE5OwsLDdu3fTzqLSsBLQlJ2dPX/+fABYunRp9erVacepHFtb25kzZwLAli1bsrKyaMdBrFS9enXyHWjevHnZ2dm046gurAQ0LVmyJDMz08nJiexSyTorVqxo2LBhZmYm6xo0SHFMnjzZyckpMzNz6dKltLOoLuwnoObt27fOzs4CgeDatWvdu3enHaeKgoOD3dzcOBzO+fPn+/btSzsOYqVr1665u7urq6uHh4c7OjrSjqOKsBLQwTBMz549//33Xw8Pj/Pnz9OOIxE7O7uYmJjq1aunpaWRjZcRqiwPD4+LFy/27NnzypUrtLOoIvy9pePKlSv//vuvhoYGmV/Dajt27ACAzMzMxYsX086C2GrdunUaGhr//PMPVgIqsBJQwOPxyOo9Pj4+dnZ2tONIqlu3bq1btwaAlStX4jIyqGrs7e29vb0BwMfHh8fj0Y6jcrASULB58+bo6OhatWqRdbiUAJkZx+fzhw4dSjsLYqv58+fXrFnz3bt37JpYoxywEshbWloaGSMRGBhoaGhIO46kIiIiRo4c2bJlS/LHy5cvs73bA9FiaGgYGBgIAEuWLElLS6MdR7VgJZC3+fPn5+XlNW/enOzXwWpnz551cXEJDg4eO3bs9u3b1dXVAWDAgAFYDFDVjBkzxsXFJS8vb8GCBbSzqBYcOyRXL168aN68OcMw9+/fb9euHe04EomJiXF2draysrp7966pqSkA7Ny5c9KkSQCgq6v7+vXrevXq0c6I2Of+/fsdOnTgcDihoaFNmzalHUdVYJtAfhiG8fLyYhhm2LBhbC8DALBmzZqioqKdO3eSMgAAEydOHDZsGAAUFRWtXr2aajrEVu3btx86dKj4l4V2HFWBbQL5OXny5JAhQ3R0dKKiourUqUM7jqQsLCw0NTXLLS6flJRUv379oqKiatWqZWZm0sqGWC0hIcHR0bG4uPjkyZODBw+mHUclYJtAToqLi/39/QFg1qxZSlAGcnNzU1JSmjRpUu51S0tLX19fAMjKyoqPj6eQDLGflZUV2Q3Jz8+vuLiYdhyVgJVATtauXZuQkFCnTh1SD9guPz8fAMju9uX4+PiQXRaGDx8u71hIWQQEBFhaWiYkJCjB1EtWwEogD4mJiStWrACANWvW6Orq0o4jBaQGkHpQTrVq1UhfcUhIyOPHj+WdDCkFXV1dsgnSihUrkpKSaMdRflgJ5GH27NnFxcXt27f39PSknUU6jIyMateuHRYW9s2fikQi0iwYMmSIfHMh5TFkyJB27doVFRXNnj2bdhblh5VA5h4+fHj06FEOh7Nx40ZWbE5ZQX379o2Li7t//3651+/duxcfH9+zZ08A+PDhw7Zt22ikQ6wn/pU5cuTIw4cPacdRdgySJaFQ2KJFCwAYP3487SxSFh0draur6+TklJGRIX6RbLdgaGgYGxtLlhfW1dXl8/kUcyJWGzduHAC0aNFCKBTSzqLMsBLI1r59+wDAwMDg48ePtLNI3+nTpzU0NMzNzefPn79nz54FCxbUrl1bR0fn/PnzDMO8fv2afNtYvHgx7aSIrVJTU0mn1P79+2lnUWZYCWQoNze3Vq1aALBmzRraWWQlPDx8+PDhZmZmZGcCbW3tiIgI8U/Hjx8PADVr1szNzaUYErEamaVoZmaWl5dHO4vSwkogQ7NmzQIAe3v70tJS2lnk4cCBAxwOZ9SoUeJXSktL7e3tASAgIIBiMMRqJSUlZPH22bNn086itLASyMr79+81NTUB4MKFC7SzyM/KlSsBYM6cOeJXLl26BABcLvfGjRsUgyFWu3DhAgBoamq+f/+edhblhKtNyMqAAQPOnTv3yy+/XL16VZmGDFUWwzCOjo7v3r0zMzNLTU398cEiEeD2l+hrDMO4u7tfv369f//+f//9N+04Sgh/7WTixo0b586d43K5GzZsUOUyAAAcDodME/348SOZXvdNIhEcOABOTvDpkxzDIZbgcDgbNmzgcrnnzp0LDg6mHUcJYSWQPoFAQPbhmzp1qpOTE+049PXp04csL7xkyZKSkpKvDwgJAVdXGDMGoqJgwwZ5x0Os0LBhwylTpgCAt7e3QCCgHUfpUH46pYzI3nvVq1fPysqinUVRxMbGkrbRoEGDyr6emMiMGMEAMACMgQGzZg1TUkIrI1J0mZmZ1apVA4CtW7fSzqJssJ9AyrKysuzt7bOysrZu3Uq+wiBi+PDhx44d43A4d+7cEQgElpb2J05YrlgBRUXA4cC4cbB8OdSqRTslUmzbtm2bOnVqtWrVoqOjSVVAUoGVQMpmzJixefPmRo0avXjxguzmiAgej2dkZFTm6ZAawE6A8e3awcaN0Lw5zWyILQQCQbNmzV6/fj19+vRNmzbRjqM8sJ9AmiIiIsgyO0FBQVgGytHU1PzvitwigElbtybdu4dlAFWUurp6UFAQAGzbtu3Nmze04ygPrARSwzCMj4+PUCgcMGBAt27daMdROBERafv3h/73NaGT03vVHlqFKq1bt279+/cXCoXe3t74SENa8OmQ1Fy4cKFfv36amppv3761sbGhHUeBFBTwRozYcuHCEoC8sq9zudz4+HhLS0tawRBLxcTEODk58Xi8Cxcu9O3bl3YcZYBtAukoLS2dOXMmAPj6+mIZKGvJkivVqjW+cGEmQJ6OjouWlo74R0FBQVgGUBXY2tqSTVJ9fX1LS0tpx1EGWAmkY9OmTe/fvzczM5s7dy7tLIri7VtwdFy7eHFvPv8dh1NzzJg9OTlPCgryTp06RQ64fPky3YSIvebOnWtmZvb+/XvsN5YOqmNYlQQunFtOVhbj7c2oqzMAiQDGLVv6Jyb+Zy3SiRMnktvv5cuXtEIitlPuJd/lDCuBFJDNNFq2bImbaQgEgr/++qtZs8lkspiHBxMa+o2VhPl8vp6eHgDY2dnJPyRSDkq8DZT8YSWQ1LNnz8js2YcPH9LOQtnNmzednZ3Jl/1mze7/+2/5AyZPnjxy5MiwsDCGYXbt2kWOxIYUqjKyqyWHw3n27BntLOyGlUAiIpGoXbt2ADBixAjaWWiKjY0dOHAg+WQ3NjbetGkTj8crd4xIJKpRowYAPHnyhLxCutb19fWxLYWqbMSIEQDQrl07kUhEOwuLYSWQyLFjxwBAV1c3MTGRdhY6CgsL586dq6WlBQBqampTpkxJT0//5pGJiYkAwOVyi4uLyStPnz4lxWPhwoVyjIyUSmJioq6uLgAcO3aMdhYWw0pQdYWFhWQQ5J9//kk7CzUFBQXk/4SuXbuSxz7fQzYbady4cdkXSUvCwsKioKBAxkmR0lq6dCkA1KlTp7CwkHYWtsJRpFW3evXqpKSkunXrkpkE7CIQAI9X9be/fPlSJBIBgJ6e3vbt2//+++8bN240btz4B2958eIFADRr1qzsi4cOHbK2tk5OTl61alXV0yDV5ufnZ2VllZiYuGbNGtpZWIt2KWKrDx8+aGtrA8CpU6doZ6k0X1+mVi1m2bKqvDc5OXnUqFEAsHfv3kq9sV+/fgAQFBRU7vXTp08DgKam5qNHj6oSCCGGOXnyJADo6Oh8+PCBdhZWwkpQRUOHDgWAjh07squfSihk3Nw+7wegrc0kJVXivcXFxcuXLyejPwHAz8+vUpe2srICgDt37pR7XSQSOTo6AkCdOnUqdUKExEQiUceOHQFg6NChtLOwElaCqrh79y4AcDicFy9e0M5SaV5enysBADNyZIXeIhKJzpw5Y21tTWqAq6urePxPBRUVFTk5OXG53Nzc3K9/Sr7QAcCmTZsqdVqExEJDQ8l47nv37tHOwj5YCSqNrJAOABMnTqSdpSqyshhj4y/FICTk52/x8vIin9S1a9c+fPhwlZtBRUVF3/sR2eZTR0entLS0aidH6PfffwcAFxcXHJdcWVgJKm337t0AYGRklJaWRjtLFW3f/qUStGjB/PS3JiQkREdHZ/78+fn5+TKKJF5rftSoUTK6BFJ6nz59MjQ0BIA9e/bQzsIyWAkqJzc3t2bNmgCwfv162lmqjs9nGjb8UgwOHCh/AI/HCwoKWrlypfiVjIwMSa5YkWZE//79yTM37PRDVbZu3ToAqFmz5jefQ6LvwUpQOWTXLQcHB7Y/xAgO/lIJatVi8sosDvTPP/+QLlwtLa34+HipXM7FxcXV1TUiIuIHxxQWFmpqagJA8+bNpXJRpIJKS0sdHBwAwN/fn3YWNsFKUAnv3r3T0NAAgMuXL9POIgUDBnwpBnPmMAzDREVF9e7dmzylMTU13blzp0AgkPxC+fn5pCvvp2tG/vnnnwCgpqYWGRkp+XWRarp06RIAaGhovHv3jnYW1sBKUAlkd6SePXvSDiIdMTGMhsbnSqChIRo/fjnZe1ldXd3X1zc7O1taF7p//z7pba7IwWTjz969e0vr6kjViESiHj16AICHhwftLKyBlaCirl69Sj4l3759W6k3jhgxQktLKyoqquyLK1asAICLFy9KNWOlzZ37pVmgpvY3+QiW+vfxzZs3V/zDPTIykhSkf/75R7oxkOp48+YNuYv+/XpFXPQtWAkqhMfjNWjQAAB8fHwq+95Pnz6ZmJh06dJF/EpsbKyOjs7AgQOlmrEqnj2LrFnzSzEIDJTJLF+yf8P8+fMreDzZmNDAwACXkUFV5u3tDQBku2PaWVgAK0GFkB3yatSoUbVnJjt37oQyC/H36NHD0NAwqVITfKUtPj7e09MTAObOjRRXgoYNGT5f+tci0y/OnDlTweNTUlJIv8KAAQOknwaphqysLLIKOk5XrAisBD+Xnp5ubGwMAH/99VfVzkC2MahRo0ZGRgZZyJri3VlQULBw4UKyaJKamtrKlatbtPjSLNi2TcqXKy0tJd3scXFxFX8XWdoIAN68eSPlQEhlbN++HQBMTEwkHAOtCrAS/NyUKVMAwNnZWZKBNK9fv9bQ0Bg8eLCZmVmLFi2ozIEUiURHjhyxsLAgH7KdO3cm2wiHhHypBCYmTFaWNC/66dMnDw+Pxo0bV2pmcmlpKalVTk5O0kyDVIlAICCb6E2dOpV2FkWHleAnwsLC1NTUAODWrVsSnmrOnDkAwOVynz9/Lo1olTZ48GBSA6ytrU+fPl32o3nkyC/FwMuLSrryNm7cSNKycbVXpCBu3rxJ2r4/3jwDYSX4EZFI1LVrVwAYNGiQ5Gcjsx/r1KlDa1baoUOH9PT0li9fLt41TCwpidHWFg8iYn44A0x+yB44xsbGuIwMqjKyG1LXrl3ZtWywnGEl+JG///6bTLWt1DPub0pISNDX12/UqBHIcY+zkpKSVatWiXf1EwqFqamp3zt42bIvzYLu3Rlp/dakp6dX+Tfw3r17pFmwYMEC6aRBqic2Npbsrvr333/TzqK4sBJ8V3FxMdlyfd68eZKfzcPDQ19fPzExcfDgwdra2jExMZKf8wdEItG5c+dsbW0BwMzMrCIrxxUVMXXqfCkGUpnqIBAI9PT0atSoUeWlhH755RcAqFu37tftGIQqaO7cuQBgY2NTUlJCO4uCwkrwXWTyV+3atSVfgPPs2bMAsGHDBoZhkpOTDQ0Ne/ToIYWI3xEeHu7m5ka+TZubmx88eLCCT1dOn/5SCWxtGckfYkVGRpK1pqvc2V5QUEC6uJcvXy5pGqSq8vPzzc3NAaDsooqoLKwE35acnEw25zp06JCEp8rLy7O0tGzWrJn405D0hZ48eVLimOVlZmZOmzaNy+WSh1pz586tVBkTiZiOHT9Xgvr1me8/SaooMmS2devWkpzk8OHDAKCrqxseHi5pIKSqDh48CAD6+vopKSm0sygirATfNnr0aLI5l+R9lTNmzFBTUyu7yZdAIHBxcaldu3Ze2SVApeHBgwekKfDrr79W7QHUy5eMhQUzZcrPNy2oCLJ06x9//CHJScTbW9rY2EghE1JJQqGwdevWADBmzBjaWRQRVoJvePLkCfk8ffz4sYSnevbsGZfLnTZt2teXUFNTmzFjhoTnJ8p2aC9YsCA4OFiSs0lj+dHPyEOqnTt3Snie/fv3k3+R3bt3SyUYUkGPHj0id1Fl915VBVgJyhOJRK6urgDw22+/0c7yc9HR0R4eHtra2tLaSECKRCJR9erVAeDp06eSn83Ozg4A9PT0+LJYEAOpBjJ3vU2bNjiitBw1QP919OjRR48e6enpkR5jhZWXlzdr1iwnJ6cLFy4IBIK7d+/STlReYmJiZmYml8slY2cldOrUKQAoLCycNm2a5GdDqmnFihV6enohISGkBwt9QbsUKZb8/PzatWsDQGBgIO0s3yUUCvfs2VOrVi3yL+ju7q6Yi/MkJib6+vqOHz9eWid0d3cHADU1tR/MiiBevJDWNZGyWb58OQBYWFgUFBTQzqJAsBL8x/z58wGgXr16Cjt6XSgUdujQgdQAe3v7S5cuqU47Nzs7myw6365du+8dExPD9O/PADA4XBB9U3FxsbW1NeB0xf/CSvBFXFwcWfWs4usnU7FgwQJDQ8O1a9eyfS/lKpg9ezZpFnw9Miovj5kzh1FX/zwK1tSUwXXp0TedOXMGALS1tSVfO0BpYCX4gizQ1qVLF0X7ll1YWLhkyZKHDx+SPxYUFHz69IlupIq4d++eFLfAJIRCYatWrQCg7D4/QiGzfz9javplWpyODrNihRRmxiGlJBKJOnfuDACDBw+mnUVRYCX47Pbt2+TL5qtXr2hnYRiGSUxMvHnzZkJCwvHjx+vUqQMAtNayrpr09HQA4HA4Up8zIV4d9ubNmwzDPHzING/+pQYAMKNHM8nJ0r0mUjYvX74kd9GdO3doZ1EIWAkYhmEEAkGTJk1A4jlQ0rJ7925ym4pZWVmdOHFC0RorP3Dt2jUAsLOzk8XJyY4R1ao1HjZMULYGtG7NSDwDBKmKyZMnA0DTpk0l2XdEaWAlYBiG2bFjBwAYGxunp6fTzsIkJiaWKwOTJk1i3TiHVatWya71HRubCjAfoFBcA8zMmMOHpbZ+KlIFaWlpZC9CyWc+KgGcTwA5OTlkyNDixYvJxqd0RUdHi0Sisq/s2LGjRo0aTk5Offr0mTFjxqVLl2hlq7gXL14AANnBWIoYBk6fho4dzQD+BNAFAE1NZv58iI6GESOAw5Hu1ZAyMzU1Xbx4MQDMmzcvJyeHchrqaJci+nx9fQHA0dGRR3WsiUgkImtjfd0mICvKic2cOZO85ePHj7Vq1Wrbtu3IkSMXLly4f//+u3fvJiUlKUJ3goODAwBcvXpViud88YLp0OE/XQIAJ5yceknxEkil8Hg8sqSVr68v7SyUqXoliIyMJEPUpfuZVVlv3rxxd3cXr4C9e/du8unP5XJ3797N5/NjYmKuX7++Y8eOWbNmiaM+fPjwm9VdXCqys7PXr19/7ty58PBweT5fys/P53A4ACCtMU5paczEif+pAY0bMxMmHCJ/30uXLknlKkgF/fPPPwCgrq4eGRlJOwtNql4JevXqBQB9+vShFSArK8vLy4t87mtqav7777/k9cTExFu3biUmJv7gvUVFRc+ePTt58uTKlSsnTpzo5uZmY2PD5XK3bNlCDggJCSlbIWrVqtWmTZsRI0ZcuXKFHCAUCmXRgLh//z4A1K5dW/JTlZYy69cz+vpfakC1asyOHZ+XySMTrWvUqCH5hZDK6t27NwD07t2bdhCaVLoSXLlyBQA0NDSioqLkf3U+n79t2zayRhsA9OvXLzo6WiqnFU+QfvHixeDBg5s3b25iYlK2JGzatIkc8OjRIy0tLUdHx169ek2bNo00IMLCwgoLCyXJkJycvG3bNvFVquzWLcbO7ksN4HIZX1+m7BQFMkIJAJYsWSLhtZDKioqKIg8GxN+QVJDqVgIej1e/fv2yz1LkqaCgwNnZmXyKNWzY8Pr167K+YlZWlrgBIZ4zcfTo0W8+X9q4cSM54P379wsWLNi3b9+dO3fk3wOxb9+XMtCzJ/PN5nubNm0AwM7OTgVnXCNpmTlzJgDUr1+fbmchRapbCTZs2AAApqamOTk5VAJ4enqamJhs2bKF4jLLfD4/Njb2xo0bO3funD17tqenJ2lAXPz/LsbHjx8vWyHEDQgyq4thmKKiIsl39/weoZBxcmLs7ZkffFfLzc2tWbMmAKxbt05GMZDSy8nJMTU1hf9vMauCOAzDfPNboXJLT0+3t7fPzc3dtWvXhAkT5HPR/Pz8VatWTZo0icwZ/vjxo4aGhvjpkEJhGIZ0+YaEhBw4cCAmJiY2NvbDhw9CoZAccP78eQ8PDwA4efLkkCFDatasaWNjY2NjY2tra2Vl9e7du969e3fs2JEj8bjOtDQwMQENjR8ds2fPngkTJhgYGISFhZHFxRCqrF27dk2cONHIyCg6OppUBdVCuxTRMWnSJAAou7ewTAmFwv3795uZmQHAsGHD5HBFWSjbgBBvBrt27dpv3ld6enpkRvT9+/fL9kDIogEhEAjIWEBHR0epnxypCIFA0LRpUwCYPHky7SwUqGIlEC85cvfuXTlcLiQkpGXLluTz0dbW9vz583K4qDxlZ2c/f/781KlTpMXj5OQEAC1btiQ/JZONy6pZs6arq6t4B8H09PTExEQJeyC2bt1KTn78+HFJ/z5IVd25cwcA1NTUXr58STuLvKlcJRAvQ+jp6VmR4yUZRJOUlDRy5EjyCWVgYLB69eqSkpKqn44lpk6dCmX64e/duzdnzhxPT88WLVpUq1ZNXA/Ev2yrV68GAE1Nzfr16/fs2XPq1KmkAVHZdUytrKwAwMjISBEm1iGW8vT0BIDOnTuzaI0vqVC5SnD69GkAqMjGv4cOMXXrMl26VH01G7KIBYfDGTdu3E+32VIabdu2BYDDhw9/86fZ2dmhoaGnT58uKioir8ybN4+M4SsnNDSUHHD06NHhw4fPnz9/7969t2/fTkhI+OZnvXienY+Pj4z+akjpxcfHk01KTp8+TTuLXKlWJSgqKiI9igsXLvzxkatWfRm/+PfflbiESCTKzMwk/52fnz9gwACp7OfOFgKBQE9PDwAiIiIq/i4+nx8XFxccHLxr1645c+YMGTKkZcuW4jFdZOXRskgD4v379+SA9+/fv3r1Kj8/v1OnTgDA5XLF/wQIVdaCBQsAwNraWmE3LpQF1aoEy5YtAwBLS8ufLr1w7tyXSlC3LlPBhzovXrzo1KlT69atVfYBxdu3bwFAR0dHil3x9+7dW7169eTJk7t3725raytuQIhLBXkeBQDiIR/W1tZ79+6V3fBWpMQKCgosLCwAYPny5bSzyI8KVYKkpCRdXV0AOHr06E8PFomYbt2+FIOfboqblpY2ceJE0hGtra2tINvdyB+Zqubq6iq7S5AGhHhCA8MwXl5e3xyMm5WVRQ5Yvnx5jx49pkyZsnbt2rNnz758+VLq++cgZXLkyBEy/i0pKYl2FjlRoUowatQoAGjbtm0F+4LCwxk1tS+7If5/2GR5paWl69evNzIyIp8+Q4YM+fDhgzRzs0pOTs61a9fEqyfJ+dIvXrw4efIkaRlYWlqKf0QWlinH1NQ0NzeXHBASEnLr1q0PHz7gpiWIYRiRSES6u0aNGkU7i5yoysyyR48ekWUJnj592qJFiwq+a9o0+P/oRBg9GvbvL39AUlKSm5tbVFQUADRr1mzjxo0dOnSQUmRURc+fPydjWB88eEB+nx8/fhweHh5bRmZmppGRUXZ2Npn71rdvX7Lrg6amprW1tc3/eXl5fbM3Gym9p0+fkh2zQ0JCXF1daceRPdqlSB7E26CPHTu2Um/MyGCMjL48I/r/CPj/nNnFxaVmzZq7d+/Gr5OKY/z48QBgZWX1vZU8cnJy3r59K/7jpEmT7Ozsyn3oGxgYiJuPo0ePbtWq1dChQ+fOnbtnzx5sQKiCMWPGAICKdPupRCU4cOAAAOjr61dhKOfmzf/ZJlckYrKzsxcsWCDuc3737p34IYOKS0lJmTVr1pkzZ2gHYZKTk0mfzfjx4yv+LoFAEB8ff/Pmzd27d8+dOzcgIED8o0aNGn39LapatWriUvH333+THgi8GZRGSkqKvr4+ABw8eJB2FplT/kqQn59vbm4OAKtWrarC2/l8pkGDL8Vg/PgbZIfLRYsWSTsp6507dw4AmjRpQjsIw/x/5wk1NbXk5GTJzxYWFnbmzJk1a9b88ccf7u7u9vb2GhoajRs3Fh/QuHFjcYWoUaMGaUD8+eef4gNUbaaScli5ciUAmJubK/04NAWqBGFhYQMHDrSystLS0qpdu7abm5vkC9wzDDN37lwAsLW1rfL83uvXy+6WlQyg26BBg2vXrkmeTcksWrQIAMaMGUM7CMMwTG5uroaGBshsIJNAIEhPTxf/cfz48a1atSq3D3ajRo3EB7Rs2dLe3t7d3f2PP/5Ys2YNNiBYoaSkxNbWFgDmzp1LO4tsKUqP8cOHD7t06WJlZTV69GgzM7PExMRHjx7FxMS8f/9ektPGxsY6OTmVlpaeO3euX79+VTtJfHx827bpqamf1w5yd3988aKLxo+Xx1RJHh4eFy9e3LRp0/Tp02lnAQBYsGABmUESHBzctWtX+Vw0Ly8vLi6O9Evr6elNnjwZABiGMTQ0LCgoKHewk5NTREQE+e/Nmzfr6uqSnmpLS8tym1cjWs6dOzdgwAAtLa23b9/Wq1ePdhyZoV2KPuvVq5epqWm5pWYk3wX3119/BQA3NzdJ2uZDhw4FsAXgkWaBpiYTFydhLuVkaWkJAPfu3aMd5DOhUEjmGZibm9NNIhKJPnz4cOvWrT179sybN2/YsGGtW7c2NTXt27ev+ABDQ0Pxb6WGhoadnZ27u3vZ50sSbiSHqkYkEnXr1g0ABg4cSDuLDClKm8DR0dHc3PzWrVtSPOfNmze7devG5XJfvnz5zR6/HxCJREVFRaS/KC4uburUqWZmB/bt+zyFddAgOHVKikmVQUZGhqmpKYfDyc3NNTAwoB3nswsXLpC24KpVqwICAmjHKY/P55PGJY/H8/HxiY2NjYmJiY+P5/P55IDevXuT4a0AYGJiwuVybW1tbcqwt7cnBRjJzuvXr5s0aSISiW7evNmlSxfacWSDdin67JdffjEwMAgPD5fWCfl8PunEmzZtWmXf+/jxY1dX15EjR5Z9MTeXMTX90mFw5460kioJsqWwvb097SDlNWnSBAAcHBwo7g1XKQKBQNyAEG8el5WV9c3f3549e4rf6O3tvXr16jNnzrx48QJ7IKSLrGji7OzMlruoshSlEly7do3L5XK53DZt2gQEBPz7778Sbii6fft2ADAxMcnIyKj4u5KTk3/77TfyO2ZgYPDx48eyP92790slcHZmcDR5WWTLmiFDhtAOUl5aWhpZDXvr1q20s0gkLy/v1atXf//999q1a6dMmdKjRw8HBwdfX1/y069LRfXq1Vu2bLlixQrxGUhrg1J8dsvIyDAxMQGA7du3084iE4pSCRiGefLkyYABA8jSQABgampa5U1dsrKyyAPizZs3V/AtxcXFgYGBZB1NABg9evTXow+FQqZZsy/FYOfOqqVTTiKRKDY2NioqinaQbyD72FSrVq3saB8lk5mZWbYHQlwPpkyZQg7Izs4GAHV1dTs7u19++WXy5MmrV68+ffr0u3fv6CZni02bNpH6Kl7PSpkoUCUgSktLnzx5MmfOHG1tbQ0NjUotbizm5eUFAA0bNqzgN6CwsDDxqABXV9fHjx9/78j7979UgmrVmEpupoLo4PP5Dg4OpHVPO4uciBsQ4kXRX79+ramp+fXzJfFmjXl5eUOGDJkzZ86uXbuCg4Pj4uKwAVEWj8cj+/F5eXnRziJ9ClcJxPbt2wcAixcvruwbIyIiyAi869evV/AteXl5tWrVql279uHDh386ymjYsC/F4P9Nc6ToyM5oAHDu3DnaWagRCAQJCQm3b9/eu3fv/PnzSQNi27Zt5KcvX74sVyTU1dVtbW2DgoLIASUlJaGhoeLFwFUQ6QxTV1d/8+YN7SxSpriVIDw8HAAmTZpUqXeJRCJ3d3cA6Nev34+PTE9PX716tfhz/9mzZxWcRpiQwGhrf64EXC4TGVmpgMrp6dOnAwcOVPAH8WSqebVq1VRhGZkqSE5OXrdu3dSpU3v27Fm/fn1xA0I8OT8sLIy8Uq1atZYtW4obEMr3sfgDHh4eAODu7q5kk8YVpRLcvHmz3P+zZCf09evXV+o8ZMidhoZGdHT0947h8XgbN240NjYGgCNHjlQh7ZIlnyuBri7z4EEVTqBsNm7cCADi0fGK6ebNm+SDbP78+bSzsIBQKCQNiNjYWPLK7du3a9as+fXzpZX/374jKiqqe/fukyZNWrVq1alTp5SyAREdHU0G/l66dIl2FmlSlErQsGHDevXq+fr67ty5c8uWLcOHD+dyudbW1pXa1ry0tNTe3h4Ayq4dVs7Vq1cbNGhA7uAmTZrcv3+/CmkLC5kGDZju3Rnl7YCsHLJq40/3BKWOLC+soaGBgyyrLD8/Pyws7Ny5c+IGxNWrV8mPzp8//3WdqFat2p49e8gBmZmZStAD4e/vDwD29valpaW0s0iNolSCf/75Z9y4cY6Ojvr6+pqamnZ2dtOnT6/sHGMykLFWrVrf/D2Piorq06cPuTtr1KixY8cOSVYVxiGkZZEx+39XasdnGsRrlPbq1Yt2FiWUkJCwb9+++fPnDx8+3NXVVdyAOH78ODng4sWLZXsgxA0Idj1fys3NJX+1tWvX0s4iNYpSCST38eNHMl9/7969X/9UJBK1bt2a3II+Pj6VamqgHyspKSEr+7NiszaydYG01ihFP0YaEJmZmeSP586dc3R01NLSKtduOHbsGDng+vXrLVq08PT0nD179s6dO2/cuKGYDYg9e/YAgKGhoeQr4igI5akEEyZMAIDmzZuX7Q8UCATiFtydO3d69eoViT280vbs2TP472L9iozP59epUwcquXUBkiKhUJiYmHjnzp19+/YtWLBgxIgRr1+/Jj8iY/a/HsIkbm6+f//+1KlTz58/p/tlTigUNm/eHAB+//13ijGkSEkqQWhoKNmGsOxz/7t37zZr1mzp0qUUg6mCXbt2AUC3bt1oB6mohw8fAgCHw3n27BntLOg/kpKSzp07t379+mnTpvXq1UvcgAgJCSEHbN68WVwhTExMmjdvPnjw4NmzZ/9ghIiM3L9/n9xFoaGhcr60LChDJRCJRGT34GHDhpFXPnz4MGTIEHK71K5du8o7E6CKCAwM1NTU9PPzox2kEkaMGAEADRo0wBGlCk4oFCYlJYl/hQ8dOtSmTZtatWqVazc8+P8Yvh07dtjY2Li5uU2cOHHlypUnT5589uyZjBoQQ4cOBYAOHTqwojX8Y8pQCU6cOAEAOjo6CQkJhYWFixYt0tbWJuV60qRJaWlptAMqPx6Px67ROAkJCaTrePr06bSzoKooKCgIDw8/f/78hg0bpk+fLl5HZObMmV8/XypbKkJCQnbs2HH9+vWYmBgJFzf78OGDjo4OAJw4cULSvw9tirIqdZUVFxc7OjomJCQsWbKkc+fOI0aMSEpKAoBOnToFBQU1bdqUdkCkoLp163bz5k0ul/vx48dye40h9kpPT4+MjCQ7BcXExJD/+PTpU0pKCpla6O/vTwYZAgCXy7WysiLrey9cuJCs7y0QCMgIiIpYsmTJ4sWLraysIiMjSVVgK9qlSFJLly4FACsrq8LCwpiYGE1Nzbp16546dUoJ2mtIpjIzM8mqJK6urjdv3kxMTKSdCMlKQUGB+ANh9+7dvXv3btCgQbkhTOKxZAEBAcbGxi4uLoMGDZo1a5a4AfHNQeeFhYVkAALb+yPZXQkSEhLIgyDxgOXg4OCioiK6qVTKiRMnmjRpEhgYSDtIVfj4+Ig/CNTU1Hbv3k07EZIfoVCYnJx89+7d/fv3L1q0SNxjNGjQoG9+aRZ/Vzh79uyKFStOnDjx9OnTzMzM48ePw/+fTtP720iK3U+H3NzcgoODAeDRo0dkugCSMz8/v3Xr1k2ZMoWs/MwuCQkJdevWFf+Ry+XGx8fjFmAqrrCwULwTtVhqampmZibpW/L09DxVZs9CY2NjPp9fWFjYuHHjp0+ffj1bghUq+jhMATEM8+DBAwCwsbH55nK7SA5evHgBAC4uLrSDVEVMTEzZPwqFwvfv32MlUHF6enqNGjUqt98twzBknDoAdO/eXUtLi1SIjx8/5uTkkNfDw8PPnTsnHrXILmq0A1Qdh8Mhy93o6+s7OzvTjqOKGIYhlaBZs2a0s1SFjY1N2T9yuVw7OztaYZAiE5cBAPj9998PHTr04MGD1NTUgoKCV69eWVtbA0C3bt0GDx5MLaJkWFwJAGDp0qXGxsZhYWFk8jeSs4SEhOzsbHV19YYNG9LOUhXXr18v+8dRo0ZhgwBVip6e3qNHj+Lj442NjY8fP04eH7ERW3MTpqamixcvBoD58+eL22hIbkJDQwGgUaNGbHw2mpubO3fuXABYuHDhH3/8AQBXrlzJy8ujnQuxSU5Ozrx58wBg8eLFrB6LzO5KAABTpkxxdHRMT0//888/aWdROax+NLRs2bL09PT69evPmzcvKCjIwcEhLS1t2bJltHMhNvnzzz8zMjIcHR2nTJlCO4tEWF8JNDQ0goKCAGDTpk1RUVG046gWAwMDBwcHshQXu7x7947srrNhwwZNTU1NTc0NGzYAQFBQUHR0NO10iB2ioqLIknlBQUFk+xoWozuIVVp69+4NuOg8JWycxEd2qih3w/To0QMUfuc1pDh69eoFAH369KEdRAqUpBJERUWRCeJXrlyhnQVRs2jRIgBI/2onuYYNG3bq1En8x3/++QcA1NXVyy1R/ubNG3IX/fvvv3JIi1jt8uXLAKChoREVFfXTg3/8dfzWrVuyz/sTLJ5PUJaDg4OXl9e6det8fHzc3NxY31Jjg5KSEk1NTdYNluDz+WRq8fTp0+vXr1/2Rw0aNJg2bVpQUJCPj8/Lly/xLkLfw+PxfH19AWDGjBkODg4/Pf7QoUPi/z548OD169fLviLeT5cm2qVIanJyckxNTQFgw4YNtLOohBUrVhgYGCxatIh2kC8q0iYg3QM1atT45krFWVlZZATIpk2bZBwWsdj69esBwNTUNCcnp7LvnTp1qgJ+8LLsC90PGBkZBQYGAsDixYvT09Npx1F+L168yM/PZ9f6ixkZGaRaLF++3NjY+OsDTExMyPChhQsXZmRkyDkeYoX09PQlS5YAQGBgoJGREe040qE8lQAAxo4d27Rp09zc3AULFtDOovzIZAJ2DSFduHBhTk5OkyZNyG7G3zRhwgRnZ+ecnBxSMxAqZ8GCBbm5uc2aNRs7diztLFKjVJWAy+WStv+uXbtevXpFO44yy8vLe//+PbCqEoSFhe3YsQMANm7cSNaj/iYul0vGJf/111/h4eFyi4dY4eXLlzt37oSf3UWso1SVAAA6duzo6ekpEom8vb0ZNi+zquBIobW0tCR9M6zg7e0tEokGDRrUqVOnHx/ZpUuXgQMH4l2EymEYhtwSnp6eZMdcpaFslQAAVq9era2tffv27bNnz9LOorRYN7s4MzPz1q1bWlpaa9asqcjxa9as0dLSunnz5vnz52WdDbHFmTNn7ty5o62tvXr1atpZpEwJK0HdunUDAgIAwM/Pr7i4mHYc5UQ6CRRtMWqybdHX/+hkPzsA8Pf3J8tG/lS9evX8/PwAYObMmSUlJVIOiliouLjY398fAAICAspua6EclLASAEBAQICFhUV8fDwZ7IWkrnXr1r169WrXrh3tIP9Bfj/LLTpSVFSUkJBQXFxsYWExe/bsip9t9uzZ5ubmsbGxpNsAqbj169eTjYzIF01lQ3cQq+wcOXIEAHR1dZOSkmhnQXLy6dMnTU3NX3/9VbwTIcMwZLVaADh06FBlT3jw4EEA0NPTS0lJkWpSxDJJSUm6uroAcPToUQlPpZjzCRQukLSIRKK2bdsCwKhRo2hnQfJDZgO0a9du1apVmzdvHjZsGCkDrVu3LlseKkgoFJJdUceMGSOLtIgtRo4cCQBt27aVfJUtrATy9vTpU/IpEBISQjuLUklMTExNTaWd4rsOHz7s6uqqp6enpaUl7hV4/Phx1c726NEjcoYnT55INydii5CQEHIPPH36VPKzYSWggGxv2apVqyp8H0TfQ/Z1Uah1Jr5J/I1+9OjRkpznt99+AwBXV1c2rrqKJCQUClu1agUAY8eOpZ1FhpS8EqSkpOjr6wPAgQMHaGdRHq6urlJ5YCprZJEvfX19CZ/yJycn6+npAcDhw4ellQ2xxYEDB8hdpMjtYMkpeSVgGGblypUAYG5unp+fTzuLMhAIBGStobdv39LO8iP5+fm1a9cGgMDAQMnPtnz5cgCwsLAoKCiQ/GyILfLy8szNzQFg1apVtLPIlvJXgpKSEltbWwCYO3cu7SzKICIiggynEQgEtLP8CNldtl69esXFxZKfrbi4mHQ5LFiwQPKzIbaYM2cOANja2paUlNDOIlvKXwkYhjl37hwAaGlpxcTE0M7CeocPHyaDKGgH+ZG4uDgtLS0AOHv2rLTOeebMGQDQ1taOi4uT1jmRIouJidHU1ASAc+fO0c4ic8o5s6wcDw+Pbt26lZaWkimCSBKsWGfC39+/tLS0a9eu/fv3l9Y5BwwY0KVLl5KSEuWcWIS+4u/vz+Px3NzcPDw8aGeRPdqlSE7Cw8PJ7lrBwcG0s7Bbly5dAGD37t20g3zXrVu3AEBNTS0sLEy6Z3716hW5i27fvi3dMyNFExwcDABcLjc8PJx2FnlQiTYBADRq1IiMffT29hYIBLTjsNgff/zh5eXVvn172kG+TSgUenl5AcCkSZMaN24s3ZM7OztPnDgRALy8vIRCoXRPjhSHQCDw9vYGgD/++KNRo0a048gF7VIkPxkZGSYmJgCwfft22lmQrPz1118AYGxs/PUellKRlpZGNjvbuXOnLM6PFMG2bdsAwMTEJCMjg3YWOVGhSsAwzObNmwGgevXqWVlZtLMg6cvOzia7EG/cuFF2VyEL0pmamn5zJ2TEdllZWdWrVweAzZs3084iP6pVCfh8vpOTEwB4eXnRzsJKISEh9+7dU9iZGT4+PgDQoEEDHo8nu6vweDxHR0cA8PX1ld1VEC3k6WLDhg35fD7tLPKjWpWAYZhr164BAJfLjYiIoJ2FfXr37g0AW7ZsoR3kG96+fauurg4AV69elfW1/vnnHwBQV1ePjIyU9bWQPEVERJA9Ka9fv047i1ypSo+xWPfu3T08PIRCIflCRzsOyyjyEFJfX1+BQNCnTx93d3dZX6tHjx69e/cWCAS+vr6yvhaSG4ZhfHx8hEJhv3793NzcaMeRL9qliILo6GgNDQ0AuHTpEu0sbPLp0ycA4HA4Cvh06PLlywCgoaERFRUlnytGRUWRJsiVK1fkc0UkaxcvXiR3UXR0NO0s8qZybQIAsLOzIw+UfXx8eDwe7TisQRoEDg4OZFE/xcHj8ch3cy8vLwcHB/lc1MHBgTxQ9vHx4fP58rkokh3xXeTj42NnZ0c7jrypYiUAgHnz5tWqVSs6OpqMJkIVoZh7FwPA1q1bo6KiatasOX/+fHled8GCBaamplFRUVu3bpXndZEsbN68OTo6ulatWmTFKlWjopXA0NAwMDAQAJYuXUoeeqCfUsxOgrS0tCVLlgBAYGCgkZGRPC9tZGRE1ihdvHhxenq6PC+NpOvTp09Lly4FgBUrVhgaGtKOQwPtx1PUCIXC5s2bA8CECRNoZ2EH0mRWtDEVZNJvs2bNqKyNKhAImjZtCgCTJk2S/9WRtEyYMAEAmjdvrrJbWnEYFR4/8+DBg/bt23M4nOfPnyvaV10F9ODBg9DQ0FGjRpFJtorg5cuXLi4uDMPcvXu3Q4cOVDLcvXu3U6dOampqoaGhTZo0oZIBSSI0NLRFixYMwzx48IBsfq6KKFci2siO5x06dMCNCVlHJBJ16tQJAIYMGUI3iaenJwB07twZ7yLWEYlEZBGtYcOG0c5Ck0q3CQAgMTGxfv36xcXFJ06cIL/PiC1Onz49ePBgbW3tqKgoKysrikk+fPjg6OhYUlJy+vTpgQMHUkyCKuvkyZNDhgzR0dGJioqqU6cO7TjUqGiPsVidOnVmzZoFAP7+/sXFxbTjKK4jR47s378/JSWFdpDPiouL/fz8AGDWrFl0ywAA1K1bl2x94efnh3cRixQVFZF/uNmzZ6tyGQBQ+adDDMMUFhaSm2Dp0qW0sygussLz+fPnaQf57M8//wQAS0vLwsJC2lkYhmEKCgosLCwAYNmyZbSzoIoio86srKwU5C6iCCsBwzDM8ePHAUBHRychIYF2FkVUXFxMFmNRkP9/kpKSdHV1AeDo0aO0s3xx5MgRANDT00tKSqKdBf1cQkKCjo4OAJw4cYJ2FvqwEjBMmV6j4cOH086iiJ48eQIANWrUUJAe0ZEjRwJAu3btFCQPIRKJyMiTUaNG0c6Cfg5Hi5SFleCz58+fczgcALh//z7tLApnx44dANC9e3faQRiGYR4+fAgAHA7n2bNntLOU9/TpU/LQNSQkhHYW9CP3798nd9Hz589pZ1EIqt5jLObi4jJu3DgA8PLyEolEtOMoFsWZXSwSichqP2PHjiUTAxVKixYtxowZA3gXKTbxXTR+/HgFXD2FDtqlSIF8/PjRwMAAAPbt20c7i2Jp3bo1ABw/fpx2EGb//v0AYGBgkJqaSjvLt6WkpJAV+g4cOEA7C/q2vXv3AoChoeHHjx9pZ1EUWAn+Y82aNQBQq1at3Nxc2lkUhUAgIB1rclvw+Xvy8vLMzMwAYNWqVXST/NjKlSsBwNzcXAGX70a5ubm1atUCgLVr19LOokCwEvxHaWmpvb09AMyaNYt2FgWSmpp65coV6kuyzJkzBwBsbW1LSkroJvmxkpISW1tbAJg7dy7tLKi8gIAAALC3ty8tLaWdRYGo+hzjr128eNHDw0NTUzMiIkIFlylXWLGxsWSD4vPnz3t4eNCO8xPnz5/v37+/lpbWmzdvbGxsaMdBn71//97JyYnP51+8eLFPnz604ygQ7DEur0+fPr/88guPxyNTWJGC8PPz4/F43bt379u3L+0sP+fh4dGtW7fS0lIyhRUpCD8/Pz6f7+7uTnbkRmLYJviGN2/eODs7C4XC69evq9x2pl+ZM2cOl8udMGGCtbU1rQzBwcFubm5cLvfVq1cNGzakFaNSXr9+3aRJE5FIdPPmzS5dutCOg+D69eu//PILl8sNDw9v0KAB7TgKhvbjKQU1Y8YMAGjYsCGfz6edhSaRSETWoH7x4gWtDHw+v1GjRgAwbdo0WhmqZurUqQDg7Oys4neRIuDz+U5OTgDg5eVFO4siwkrwbVlZWdWrVweALVu20M5CU2xsLABoaGhQ7F7btm0bAFSrVi0zM5NWhqrJyMgwMTEBgO3bt9POourIPrXVq1fPysqinUURYSX4LrI5rYmJSUZGBu0s1Jw+fRoAyG4wVGRmZrK6JOMHkCIQl+Rt27bRzqKgsMf4uyZOnNioUaPs7OzFixfTzkIN9dnFS5YsyczMbNiw4aRJk2hlkMTkyZOdnJwyMzPJspeIisWLF2dnZzdu3Pj333+nnUVR0S5FCu3GjRsAwOVyX79+TTsLHb169QJ638cjIiLIGqiKtnlypVy7do3cRW/evKGdRRWFh4eTuyg4OJh2FsWFbYIf6dat24ABA4RCoY+PD6OSg6wotgkYhvHx8REKhf369WP1CK7u3bt7eHio8l1EEcMw3t7eQqHw119/7dq1K+04CoxuIVJ8MTExmpqaoEibtMhNVlaWvr4+h8MpKCiQ/9UvXrwIAJqamtHR0fK/unRFR0draGgAwKVLl2hnUS3nzp0jd1FMTAztLAoN2wQ/YWNj4+vrCwC+vr6lpaW048iViYlJbm5ubGysnp6enC/N4/F8fHwAwMfHRwlmetvZ2Yn/Ojwej3YcVVFaWjpz5kwAmDlzJs70/gnapYgF2LLwmTIhSwGamZnl5eXRziIduPCZ/K1atQoAzM3NleYukh2sBBWi+IshKxPx8uB79+6lnUWa9uzZAwCGhoafPn2inUX5paam4vLgFYeVoEKEQmHLli0BYNy4cbSzyE/37t2HDBny4cMHOV93/PjxANC8eXPqq59Kl1AoJLvr/P7777SzKL+xY8cCQKtWrZTsLpIRXHeookJCQtq2bcvhcJ48edKiRQvacWQuNzeXrDORmZlZrVo1uV03NDS0RYsWDMM8ePCAbAusTB48eNC+fXuyaaIi7AGnrJ4+fdqqVSsACAkJcXV1pR2HBbDHuKLatGkzYsQIhmHIuiW048jcy5cvAcDKykqeZUD8f+/w4cOVrwwAQLt27YYNG6Y6dxEVDMN4e3sDwMiRI7EMVBSdpgg7JSYm6urqAsDRo0dpZ5G5DRs2AEC/fv3kedHjx48DgK6ubmJiojyvK08JCQlkD7gTJ07QzqKcjh49Su6ipKQk2llYA9sElWBpaUm2zQoICCgqKqIdR7ZCQ0MBQJ77fRcVFZHV/GfNmmVpaSm368pZnTp1Zs2aBQD+/v7FxcW04yibwsJCsivZ3LlzLSwsaMdhDawElTNz5sy6desmJSWtXr2adhbZkv/s4jVr1iQmJlpZWSn9HkH+/v516tRJSEhYu3Yt7SzKZvXq1UlJSdbW1mQaEKoo2o0S9jl16hQAaGtry39QjdwUFRWRpVrk9pRG1Z6ZkOdgOjo6CQkJtLMoj/j4eG1tbQA4deoU7Swsg5Wg0kQiUceOHQFgyJAhtLPISlxcXNOmTWvXri0SieRzxWHDhgFAhw4d5HZFukQiUfv27QFg+PDhtLMoD09PTwDo1KmTitxFUoSjSKvi5cuXZMn+u3fvdujQgXYcWREKhaRlIGv379/v0KGDqo2tFI+XvX//frt27WjHYb179+517NhRTU3t+fPnTZs2pR2HZbCfoCqaNm1KFjr38vISCoW048iKfMqASCTy8vICgPHjx6tOGQAAFxeXcePGAYCXl5dIJKIdh92EQiG5i37//XcsA1VBuU3CWmlpaUZGRgCwe/du2lmkTyAQyO1a4jUYPn78KLeLKgjxuhr79u2jnYXddu3aBQBGRkZpaWm0s7ASVoKqW79+PQDUrFkzJyeHdhZp4vP5xsbGzZs3l8MvFa7LRtbaq1WrVm5uLu0sbJWTk2NqagoA69evp52FrbASVF1paamDgwMA+Pn50c4iTeHh4QCgr68vhwVbyNBve3v70tJSWV9LMZWWltrb2wPArFmzaGdhK7L0dP369VX2LpIcVgKJXL58GQA0NDTevXtHO4vUHDx4EADat28v6wu9e/cO929hGObChQugLHvyyF9UVBS5i65cuUI7C4thj7FEevXq1bNnTz6fT76VKAe5zSnz8/Pj8/nu7u5kt2SV1adPn19++YXH41VkSh12LZczc+ZMPp9PfhNpZ2Ez2qWI9d6+fauurg4AV69epZ1FOjp37gyy3xsA93kvKyIigozUun79+veOEQqZffsYR0cGdzcQ++effwBAXV09MjKSdhZ2w0ogBWRjwgYNGvB4PNpZJCUSiciYqJcvX8ruKnw+38nJCQDIkpyIYZgZM2YAQMOGDfl8/tc/ffiQadGCAWAAmNmz5Z9OEfF4PEdHRwDw9fWlnYX1sBJIQXZ2do0aNQBg48aNtLNIKiYmBgA0NTVlWtU2b94MANWrV8/KypLdVdglKyurevXqALBly5ayrycmMiNGfK4BBgbMmjUMdosSQUFBAFCjRo3s7GzaWVgPK4F0/PXXXwBgbGycnp5OO4tEIiMjBw0a1L9/f9ldIiMjw8TEBAC2b98uu6uw0datWwHAxMQkIyODYZiiImbpUkZXlwFgOBxm/HhG9WZcfFd6ejrZSWnHjh20sygDrATSIRAInJ2dAWDKlCm0syi6qVOnAkDjxo2/+RhElfH5/EaNGgHA1KnTTp5k6tb93BRo3555/px2OAXzxx9/AECTJk3kOQtSiWElkJpbt24BgJqaWlhYGO0siis8PFxNTQ0AgoODaWdRRDdu3ABoCnCX1IA6dZjjxxlcTq2cV69ekbvo9u3btLMoCRxFKjWdO3ceNGgQWUWHYe26fvHx8bILzzCMt7e3SCT69ddfu3btKqOrsFdaGpw40Q3gOUAHNbWSRYuYyEgYMgQ4HNrJFIn4Lho8eHCnTp1ox1EWVOuQsomLi9PS0gKAs2fP0s5SFampqQBQvXp1Gc3VPHfuHABoaWnFxMTI4vzsVVrKrF3LGBp+fhykpnYMwPL8+fO0cymiM2fOkLsoLi6OdhblgW0CabK2tiaTg/z8/EpKSmjHqTQyp6xmzZqamppSP3lpaSnZRmrmzJk2NjZSPz9LMQxcvgyNGoGfH+TlgYsL3LsHAQGvAJJ8fX1LS0tpB1QsJSUlZBanv7+/tbU17ThKhHYpUjb5+fm1a9cGgBUrVtDOUmnLli0Dme2dsnLlSgAwNzfPz8+XxfnZ6M0bpkePz+2AWrWYPXsYstRTXl6emZkZAKxatYp2RsUSGBgIABYWFgUFBbSzKBWsBNJ36NAhANDT00tOTqadpXIGDhwIAGvWrJH6mVNSUvT19QHgwIEDUj85G2VlMV5eDJfLADAaGkxAAFNuKdL9+/cDgIGBQWpqKqWMCic5OVlPTw8ADh8+TDuLssFKIH1CodDV1RUARo8eTTtL5ZCHNjdu3JD6mceOHQsArVq1ksP6pqwwZ87npoCHB/PN1QuFQmHLli0BYNy4cXJPp6B+++03AGjTpg1uTil1WAlk4vHjx+Th2+PHj2lnqajs7GySOTMzU7pnfvLkCTlzSEiIdM/MXtnZTOfOzLVrPzrm4cOHAMDhcJ4+fSqvXIrr0aNH5C568uQJ7SxKCCuBrJDvL66urmz5/kLmQ9StW1e6pxWJRG3atAGAUaNGSffMqmDEiBEA0LZtW7bcRTIiFApbt27NxnY2W2AlkBXWPdOMjIycNWvWkiVLpHvaI0eOAICurm5SUpJ0z6wKEhMTdXV1AeDo0aO0s9BE+t709fVTUlJoZ1FOWAlkiIxzqF27tsqOlikoKLCwsACAZcuW0c7CVn/++ScAWFpaFhYW0s5CB6vH47EFzieQIR8fn3r16qWkpKxatYp2FjpWr16dnJxsbW1NZhKgKpg5c2bdunWTkpJWr15NOwsdK1euTElJsbGx8fb2pp1FedEuRUqOLfMhi4uLr127Jt2FVOPj47W1tQHg9OnTUjytCjp16hQAaGtrf/jwgXYWeYuNjWX1vH22wEogWyKRqEuXLgAwePBg2ll+hAx2qlmzphR7Jj09PQGgc+fOKt7bKTmRSNSxY0cAGDJkCO0s8kbmuHTt2hXvIpnCSiBzrFg3keyv4O7uLq0T3rlzBwDU1NRkuveZ6njx4gWHwwGAu3fv0s4iP7i+r9xgP4HMOTs7T5o0CQC8vLyEQiHtON8m3V3shUKhl5cXAPz+++9NmjSRyjlVXNOmTX///XdQ7LtIusR30eTJkxs3bkw7jrKjXYpUguLvr0Sms548eVIqZ9u1axcAGBkZpaWlSeWEiGGYtLQ0ssX07t27aWeRB9JOFe/ghmQKK4GcKPKeq3w+n3TtRkdHS362nJwcU1NTANiwYYPkZ0NlrV+/HgBq1qyZk5NDO4tsiXd1VoK9wVkBK4Gc8Hg8R0dHAPD19aWdpbzw8HAAMDAwkMqiQGTRYEdHRx6PJ/nZUFmlpaUODg4A4OfnRzuLbJEBow0aNMC7SD6wEsjP1atXAUBdXT0yMpJ2lv84ePAgAHTo0EHyU0VGRqqrqwPAlStXJD8b+trly5cBQEND4903F65TCm/fviV30dWrV2lnURVYCeSqT58+ANCrVy/aQf4jPj5+165dp06dkvxUvXv3VsC/oJLp2bMnAPTt25d2EFlR+r+gAuIwrN1xl43evXvXqFEjPp9/+fLlXr160Y4jZVevXu3Zs6e6uvrr16/r169PO47SioyMbNy4sUAguHr1qru7O+04UnblypXevXtraGhERETY29vTjqMqcBSpXDk4OMyYMQMAfH19+Xw+7TjSxOfzfXx8AGDGjBlYBmTK0dFx+vTpAODj46NkdxGPxyN3kZeXF5YBuaLdKFE5ija0JjU1ddu2bZKv+U4GR5mamirg4Cjlk52dXaNGDVC6oTXr1q0D1RgcpWiwElCgUMPtyZo2LVq0kOQk4qHuCjthQvmQ4fbGxsbSXS2Kok+fPqnUhAmFgk+HKBg7dmyzZs1yc3MXLFhAOwuEhoaCxLOLFy5cmJub26RJk/Hjx0spF/qJCRMmODs75+TkLFq0iHYW6ViwYEFubq6Li8uYMWNoZ1E9tEuRirp79y4AcDicFy9e0E3So0cPANi2bVuVz8CKhZWUkjItyyNeWOnevXu0s6gibBPQ0aFDB09PT4ZhvL29GXrDtxiGkbBNQP4KIpFo8ODBnTp1kmo69BOdO3ceNGiQSCTy8vKieBdJjmEY8lcYMmRI+/btacdRSdRqkMpThOX7k5OTAUBNTa3K+2GRDRi0tbUVfAMGZRUXF6cEy/efPHkSVHUDBgWBbQJq6tatGxAQAAB+fn7FxcVUMpAlSB0dHclmuZVVUlJC1pbw8/OztraWbjZUEdbW1n5+fgAwc+bMkpIS2nGqori42N/fHwBmzZplZWVFO46KwkpAU0BAgKWlZXx8PFlZTP4kXIx6/fr18fHxFhYWs2fPlmouVAmzZ8+uXbt2XFwcGcjLOuvWrfvw4YOlpSX5YoTooN0oUXVHjhwBAF1d3aSkJPlfPScn5/bt28+ePavCe5OTk/X09ADg8OHDUg+GKuXQoUMAoKenl5ycTDtL5SQmJpL26LFjx2hnUWlYCSgTiURt27YFgJEjR9LOUjm//fYbALRp0wa3FaROKBS6uroCwOjRo2lnqZwRI0YAQLt27fAuogvXHaLv2bNnZKOYkJAQ8vus+B4/fkyiPnnyhIRHdD158qR169YA8Pjx41atWtGOUyEhISFt27blcDhPnz5t3rw57TgqDfsJ6GvRosXYsWMBwMvLSyQSye26L1688PX1vXDhQmXfSIYtAsDo0aOxDCiIVq1akVYaW0aUiu+isWPHYhmgj3KbBDEMwzCpqan6+voAcODAAbldlKzxMmDAgMq+kexnoK+vn5KSIotgqGrY1XOzf/9+ADAwMEhNTaWdBeEoUsVgZmY2f/58AJg9e3Z+fr58Llq1OWUFBQVkpNC8efPMzc1lkgxVSe3atefNmwcAAQEBBQUFtOP8SH5+PrmLFixYYGZmRjsOwqdDCsPb29vW1jY1NXXFihXyuSIZQuri4lKpd61cuTIlJcXGxobsL4gUio+PT7169VJSUlatWkU7y48EBgZ+/PjRzs6OLNKO6KPdKEFfnDt3DgC0tLRiYmJkfa3CwkKyWFClxh3GxsaSGa1///23zKIhiZw9e5bcRQo76/v9+/eampoAcP78edpZ0GfYJlAgHh4ebm5upaWlZMqlTIWHh4tEopo1a1bqCY+/v39paWnXrl379esnu2xIEv379+/SpYt87qKq8ff35/F43bt379u3L+0s6P9olyL0H+Hh4VwuFwCCg4NleqFt27YBQI8ePSr+FmVa+VK5KfLqsDdu3AAALpf7+vVr2lnQF9gmUCyNGjWaPHkyAHh7ewsEAtldKCoqCirTXSwUCsmYv8mTJzdu3Fh2wZDknJ2dJ02aBABeXl5CoZB2nC8EAgHpXpoyZUrDhg1px0Fl0C5FqLyMjAwTExMA2L59u+yuIhKJEhMTKz4MlOyQZWJikpGRIbtUSFrS09ONjY1BwXaR27p1KwBUq1YtMzOTdhb0H1gJFNHmzZsBoHr16llZWbSzMAzDZGVlVa9eHQA2bdpEOwuqqI0bNwJAjRo1FGRn6czMzGrVqgHAli1baGdB5WElUER8Pp+0ncl8UepIi75BgwY8Ho92FlRRPB6vQYMGAODj40M7C8MwzPTp0wGgYcOGfD6fdhZUHlYCBXX9+nUA4HK5ERERUj/52bNnPTw89u/fX5GD3759q66uDgBXr16VehIkU1evXgUAdXX1yMhIukkiIiLIUIgbN27QTYK+CXuMFZSbm5uHh4dQKPT19WWkvYzMnTt3Lly4QGaW/ZSvr69AIOjbt6+7u7t0YyBZc3d379Onj0Ag8PX1pRiDYRhvb2+hUNi/f/9u3bpRTIK+i3YpQt8VHR2toaEBAJcuXZLumTt27AgAFWkTXL58GQA0NDTevXsn3QxIPqKioshddPnyZVoZyCqHmpqa79+/p5UB/Ri2CRSXnZ2dj48PAPj4+PB4PGmdViQSVXCrMh6PRwJ4e3vb29tLKwCSJwcHBzL819fXV4p3UcWVlpaSFomPj4+tra38A6AKoV2K0I/k5ubWqlULANauXSutc0ZHRwOAlpbWT7t/yWKlNWvWzM3NldbVkfzl5OSYmpoCwPr16+V/9dWrVwOAmZlZXl6e/K+OKggrgaLbu3cvABgaGn78+FEqJzx58iQAtGjR4seHffr0ydDQEAB2794tlesiinbt2gUARkZGaWlp8rzux48fDQwMAGDfvn3yvC6qLHw6pOhGjx7dvHnzvLw8smy15Cr4aGjBggV5eXkuLi5jxoyRynURRWPHjm3WrFlubu6CBQvked158+bl5+e3aNGC7KKDFBZWAkWnpqZGpgjt2bOngqN9fqy4uFhHR+fHi1G/fPmSfIvcuHEjGfyHWI3L5ZK7aOfOnS9fvpTPRZ8/f05atJs2bSLrICHFRbtRgipk2LBhANChQwepbPwtEAiKi4u/91ORSEQGFw0dOlTyayHFMWTIEADo1KmTHLaPF4lE7dq1A4Dhw4fL+lpIcrijPTskJibWr1+/uLj4xIkTnp6eMr3WqVOnPD09dXR0IiMjraysZHotJE8JCQn169cvKSk5derUoEGDZHqt48ePDxs2TFdXNyoqytLSUqbXQpLDJhs71KlTh+z25+/vX1RUJLsLFRcX+/n5AUBAQACWASVjZWUVEBAAAP7+/sXFxbK7UFFREbnQ7NmzsQywA+1GCaqowsLCOnXqAMCSJUuqfJLAwEAnJ6cfrHL6559/AoClpWVhYWGVr4IUVkFBAfloXrZsmeyusnjxYgCwsrIqKiqS3VWQFGElYJPjx48DgI6OTkJCQtXOMGDAAABYt27dN3+amJioq6sLAMeOHZMgJlJoR48eBQBdXd2kpCRZnP/Dhw86OjoAcPLkSVmcH8kCPh1iE09Pz/bt2xcXF5MnRVXw413sZ8+eXVRU1K5dO9K1iJTS0KFD27VrV1RUVOW76MdmzZpVXFzcoUMHWXdFICnCHmOWCQ0NJZPC7t+/T8ZmVFx2djZZID47O5tsY1LWw4cP27Vrx+Fwnj592rx5c2kFRgro2bNnLVu2BICQkBBXV1cpnvn+/fsdOnTgcDjPnz+v+I54iDpsE7CMi4vL+PHjAcDLy0skElXqvaRBUK9eva/LgEgkIqvTjB07FsuA0mvRosXYsWOhSnfRD4jvogkTJmAZYBesBOyzbNkyAwOD58+fHzhwoFJv/MHs4kOHDj179szAwGD58uXSSYkUW2BgoL6+/pMnTw4fPiytc+7fvz80NNTQ0HDZsmXSOieSD6wE7FOrVq2FCxcCwJw5c/Ly8ir+xu9Vgvz8fPLIeMGCBWZmZtJLihSXmZkZWXli9uzZ+fn5kp8wLy9vzpw5ALBo0aKaNWtKfkIkT1gJWGnGjBn29vafPn0KDAys+Lvq1q3bsGHDFi1alHs9MDDw48ePdnZ2M2bMkGpMpNC8vLxsbW1TU1NXrFgh+dmWLVuWlpbm4OAwbdo0yc+G5Ax7jNnq0qVLffv21dTUjIiIsLOzq/J5YmJinJyceDze+fPnPTw8pJgQKb7z58/3799fU1Pz7du3NjY2VT5PdHQ02aD40qVLvXv3lmJCJB/YJmCr3r17u7u783g8MiW4yvz8/Hg8Xvfu3fv27SutbIgtPDw83NzceDyev7+/JOfx8/Pj8/k9evTo1auXtLIhecI2AYu9efPG2dlZKBRev37dzc3txwfn5ubq6emRvenFgoOD3dzcuFzuq1evGjZsKMuwSEG9fv26adOmQqEwODi4a9euVTjDtWvX3N3d1dXVw8LCGjRoIPWESA6wTcBiTk5OU6dOBQBvb2+BQPDjg/39/Q0MDLZt2yZ+RSAQeHt7A8CUKVOwDKisRo0a/fHHH1Cxu+hrfD6fbHE6bdo0LAMsRneKM5JQVlZW9erVAWDLli0/PpLMEjh16pT4la1btwJAtWrVMjMzZRwTKbTMzEwy5XDbtm2Vfe+mTZsAoHr16llZWbLIhuQDKwHrka/5JiYmGRkZ3zuGx+NpamoCQExMDHlF/Mv/0xKCVMHmzZvJB3qlvhZkZGSYmJgAwA/WNESsgJWA9fh8fuPGjQFg2rRp3zvm1atXAGBkZCTeomT69OkAQMZ7yCspUlx8Pp88IZwxY0bF30UeTjo7OwsEAtllQ3KAlUAZBAcHAwCXy339+vU3D9i/fz8AdOrUifwxIiKC7El548YN+aVEiu369evkLoqIiKjI8WFhYWRPyps3b8o6G5I17DFWBl27dh0wYIBQKPTx8WG+NRgsNDQU/r8EKcMw3t7eQqGwf//+3bp1k3dWpKjc3Nz69ev3g7uoLHIXiUSigQMHdunSRT4JkQzRLURIWmJiYkhPwPnz57/+aYcOHQDg4MGDDMNcuHABADQ1Nd+/fy/3mEihRUdHk7vo4sWLPz7y77//BgAtLa3Y2Fj5ZEMyhW0CJWFjYzNz5kwA8PX1LS0tLffTfv369e/fv1WrVqWlpb6+vgDg4+Nja2tLIShSYHZ2dmRgsY+PD4/H+95hpaWl5GabOXNmvXr15BYPyRDtUoSkJi8vz9zcHABWrVr1vWNWr14NAGZmZnl5efLMhtgiNze3Vq1aALBmzZrvHbNy5UoAMDc3z8/Pl2c2JDtYCZQK6RnW19dPTU39+qcfP340MDAAgH379sk9GmKNvXv3AoChoeHHjx+//mlKSoq+vj78/2EjUg5YCZSKUCgke1GNGzdO/OKbN28SEhJEIhHZ4qZFixZCoZBiSKTghEIhmYc4YcKEr386ZswYAGjdujXeRcoEK4GyefjwIQCQTSjJK7/88gsAzJ8/n8PhAMDDhw/pJkSK78GDB+Quev78ednXnzx5Qp4qP3r0iFY2JAvYY6xs2rRpM3LkSIZhvLy8yL8x2aDmwoULDMMMHz68TZs2tDMiRde2bdthw4aJ7yLyIvkjAIwaNap169ZUAyIpw7VIlVBycrKDg0NRUdHRo0c7dOhQp04dNTU1kUikq6sbFRVlaWlJOyBigcTExPr16xcXFx8/fnzIkCEAcPTo0REjRujp6UVFRVlYWNAOiKQJ2wRKyMLCguwjGBAQ8OjRIwAgM4pnz56NZQBVUJ06dciepgEBAUVFRYWFhQEBAQAwd+5cLAPKB9sEyqm4uLhBgwYfPnzo3Lnz7du3AcDKyioyMlJHR4d2NMQaRUVFDRo0SEhIWLJkiUAg+PPPP62trd++fautrU07GpIyrARK6/Tp04MHDybPhQDg5MmTgwcPph0KsczJkyeHDBmira3NMExpaemZM2d+/fVX2qGQ9GElUFoMw3Tp0uXOnTsAUK1atcGDB5OxQwhVHMMwFy5cSE1NBYBOnTrdunUL7yKlhJVAmR05cmTkyJG0UyAlsX///tGjR9NOgWQCK4EyE4lEs2bNevLkCa45iqpMJBIdO3ZMTU3t5cuXWlpatOMgmcBKgBBCqg5HkSKEkKrDSoAQQqoOKwFCCKk6rAQIIaTqsBKwTERExMiRIy0sLLS0tGrXrj1ixIiIiAjaoRD6Yv/+/RwO59mzZ7SDoErASsAmZ8+edXFxCQ4OHjt27LZt28aPH3/r1i0XFxeyqSxCCFWNOu0AqKJiYmJGjRplY2Nz9+5dU1NT8qKXl1eHDh1GjRoVFhZmY2NDNyFCiKWwTcAaa9asKSoq2rlzp7gMAECNGjV27NhRWFhINihGCKEqwErAGhcvXrS2tu7QoUO51zt27GhtbX358mUqqRBCSgArATvk5uampKQ0adLkmz91dnZOSkrKz8+XcyqEkHLASsAO5FPewMDgmz8lr+fl5ck1E0JIWWAlYAfyWf+9b/0/rhMIIfRjWAnYwcjIyNzcPCws7Js/DQsLs7CwMDQ0lHMqhJBywErAGn369ImLi7t//3651+/duxcfH9+nTx8qqRBCSgArAWv4+/vr6OhMmjQpMzNT/GJWVtbkyZN1dXX9/f0pZkMIsRrOLGMNe3v7AwcOjBgxonHjxuPHj69Xr158fPyePXsyMjKOHTtma2tLOyBCiK2wErDJ4MGDHR0dV6xYQQpA9erVu3TpMnfu3EaNGtGOhhBiMdyzDCGEVB32EyCEkKrDSoAQQqoOKwFCCKk6rAQIIaTqsBIghJCqw0qAEEKqDisBQgipOqwECCGk6rASIISQqsNKgBBCqg4rAUIIqTqsBAghpOqwEiCEkKr7Hzifbr3reK+pAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'T': (1.0, 0.5), 'G': (0.75, 0.93), 'H': (0.25, 0.93), 'S': (0.0, 0.5), 'O': (0.25, 0.07), 'I': (0.75, 0.07), 'U': (0.5, 0.5), 'Q': (0.38, 0.72), 'X': (0.19, 0.61)} radius = 0.0 connection_dict = {'T': ['G', 'I'], 'G': ['T', 'H'], 'H': ['G', 'S', 'U', 'I', 'Q'], 'S': ['H', 'O', 'X', 'Q'], 'O': ['S', 'I'], 'I': ['O', 'T', 'U', 'H'], 'U': ['H', 'I', 'O', 'Q'], 'Q': ['H', 'U', 'O', 'X', 'S'], 'X': ['Q', 'S', 'T']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'P': (0.93, 0.5), 'D': (0.07, 1.0), 'I': (0.07, 0.0), 'K': (0.07, 0.5), 'N': (0.51, 0.5), 'M': (0.07, 0.25)} radius = 0.0 connection_dict = {'P': ['D', 'I', 'K', 'N'], 'D': ['P', 'I', 'K', 'N'], 'I': ['D', 'P', 'K', 'M'], 'K': ['D', 'I', 'P', 'N', 'M'], 'N': ['K', 'P', 'D'], 'M': ['K', 'I', 'N']}
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", 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<image>
# 顶点坐标 coordinates = {'F': (0.98, 0.5), 'W': (0.61, 1.0), 'U': (0.02, 0.81), 'G': (0.02, 0.19), 'D': (0.61, 0.0), 'P': (0.14, 0.65), 'T': (0.32, 0.1), 'B': (0.08, 0.74)} radius = 0.0 connection_dict = {'F': ['W', 'D'], 'W': ['F', 'U', 'P'], 'U': ['W', 'G', 'P', 'D', 'B'], 'G': ['U', 'D', 'T'], 'D': ['G', 'F', 'P', 'U', 'T'], 'P': ['U', 'D', 'W', 'B'], 'T': ['G', 'D', 'P', 'B'], 'B': ['U', 'P', 'T']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (0.98, 0.5), 'N': (0.61, 1.0), 'W': (0.02, 0.81), 'Y': (0.02, 0.19), 'O': (0.61, 0.0), 'J': (0.5, 0.65), 'R': (0.33, 0.39)} radius = 0.0 connection_dict = {'Q': ['N', 'O', 'J', 'W'], 'N': ['Q', 'W'], 'W': ['N', 'Y', 'J', 'Q', 'R', 'O'], 'Y': ['W', 'O'], 'O': ['Y', 'Q', 'R', 'W'], 'J': ['Q', 'W', 'O', 'R'], 'R': ['W', 'O', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'E': (0.93, 0.5), 'V': (0.07, 1.0), 'X': (0.07, 0.0), 'M': (0.07, 0.68), 'F': (0.2, 0.65)} radius = 0.0 connection_dict = {'E': ['V', 'X', 'M', 'F'], 'V': ['E', 'X', 'M'], 'X': ['V', 'E', 'M', 'F'], 'M': ['V', 'X', 'E', 'F'], 'F': ['M', 'E', 'X']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Z': (1.0, 0.5), 'L': (0.76, 0.82), 'D': (0.38, 0.7), 'Y': (0.38, 0.3), 'G': (0.76, 0.18), 'Q': (0.0, 0.82)} radius = 0.0 connection_dict = {'Z': ['L', 'G', 'Q'], 'L': ['Z', 'D', 'Q'], 'D': ['L', 'Y', 'Q'], 'Y': ['D', 'G'], 'G': ['Y', 'Z'], 'Q': ['L', 'Z', 'D']}
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awhKQwsgtAwK3xeDChQunTp0CH1xMomIJSEnkmQGBe2Lw9ddfAzAYDO3bt3f6TYqLiz/88MMhQ4aEhobqdLrly5eX/+oLL7yg+6OoqKh6jk0y5yn1AES1JecMCIQYCNcZJCQkuOI6g23btgGIjo6uz5vk5eV9/PHHLVq06Ny5c0pKyr0beHt7L1myxPHT4ODg+nwcyR9LQMog/wwIXB2DzMxMAMOHD6/PmzRp0uTatWsRERFHjx7t3r37vRt4enqOHTu2Ph9BysK9Q6QArsuAXq+PiYmJiYkR8Twc1+0mSklJKSsrAyD813Cat7d3RERE9dtYrdY7d+7U51NIQVgCkjuXrgZ8fX3T0tLS0tJ8fX1FfFsXxUDYYxMUFNS0aVNR3rAqJpMpKCgoODg4NDT0tddeKy4udunHkeRYApI1pewUupcrYiDs0+/atWv936oaTZo0efvttxMTE1evXv34449//fXXQ4YMEdYipFp2IrkSHsYCICQk5MaNG1KP44zi4uLY2FgAgYGBBw8erM9blZWVBQQEAEhMTBRpOntaWlqNbzh9+nQAq1evFutDSYa4JiCZcs9qwGQytWzZsmXLltU81L4+RFwZHD9+vLi4ODAw0M3Hct988029Xi9c2ExqxRKQHLltp5Ddbr98+fLly5ftLrs9u1gxSEpKAhAbG+vp6dZT/nx9fcPCwvLz8935oeRmLAHJjnKPDVRFlBisWLECUjy/vqioKC8vr2HDhm7+XHInloDkRX0ZENQzBnl5eRkZGQDqc2lxbVgslqKiovKvfPLJJ3a7fciQIS79XJIWrywjGVFrBgT1uehs0aJFADw8PMT6jjx37tzbt2/n5OQA2LRp09WrVwG8/vrrBQUFXbp0GT16tHCHiR07dmzdunXIkCEjRowQ5XNJpiQ+Yk30G0nOFHKcKV9cXOy2T3TibKKYmBgAbdu2FWuMyMjIe78bXLp0qaCgYOzYsW3atPHz8/P29u7YseNnn31WUlIi1ueSPPE5xiQLUq0GjEajcGpmcXGxv7+/2z60rs9A9vX1tVgskydPnjdvnhsmJK3hcQKSnoQ7hXQ6XXR0dHR0tE6nc9uH1vWYQXp6usViATBp0iS3DEiawzUBSUzdxwaqUfuVweuvvz537lwfHx+z2ezOCUk7uCYgKWk2A6jLymDXrl0AOnbs6MbpSFtYApKMljMgqE0M7Ha7cFrnlClT3D4gaQX3DpE0ZJIBk8kk3KA/LS3Nz89Pkhmq302UkZERFRVlMBgKCgqkmpBUj2sCkoBMMgDAbrefOXPmzJkzEv6TqPqVgXDDn759+zID5DosAbmbfDIgH9XEYObMmQA6deok3XSkfiwBuRUzUJVKY2CxWC5fvgygW7duUg9IasbjBOQ+MsyAJFeWVT9P+WMGp06dmjBhgk6ns1gsBoNB6ulItVgCchMZZgDyKwH+GIN27dodO3asWbNmwn2BiFyEe4fIHeSZAXkqv5vo2LFjAAYMGCD1UKRyLAG5nJwzoNPpIiMjIyMj3Xm3iRoJMXCcTlr7W5YSOYclINeScwYA+Pn5ZWVlZWVlye0cTX9/f8dS4L333qvPYy+JasQSkAvJPAMyl56eDsDPz6/+z0Amqh5LQK7CDNTThQsXAHz99df1fwYyUfV47hC5hFIyYDab+/fvD2Dfvn2+vr5Sj/O7nJycZs2a6XS6mzdv+vj41PV5BkR1wjUBiU8pGQBgs9mOHj169OhRm80m9Sx/8MMPPwDo2rVrWFhYPZ+BTFQjloBEpqAMyNm//vUvAA0bNhR+yhiQS7EEJCZmQBQ2my0rKwtAXFyc40XGgFyHJSDRMANi2bhxo7C3avz48eVfZwzIRVgCEgczIKIVK1YACAsLCwkJqfAlxoBcgSUgETAD4jpw4ACAXr16AUhPTx87dmyzZs28vb2bNm06duzYy5cvMwYkLp5FSvWl6AwYjcaWLVsCyMrKkskd6IqLiwMDAwF8//33Xl5eo0ePDg0NHT9+fKtWrbKyspYuXZqfn79mzZq4uDieWkqisRPVw4IFC4S/SCEhITdu3JB6HDWYPXs2AJ1Od+7cOT8/v6ioqNzcXMdXb968GRUVFRAQcPHixeLi4tjYWACBgYEHDx6UcGZSOu4dIucpejUgW8KlxQ8++OCsWbNMJtOiRYsc55ICCA8PX7hwYXFx8cyZM3nMgMTCvUPkJGbARXr37n348OGlS5f+v//3/wwGw6VLl+7dplWrVmVlZVeuXME9D7fhbiJyAtcE5AzVZMBsNg8cOHDgwIFms1nqWQDg9u3bqampAHr06JGTk9O5c+dKN3vwwQevXr1aVFQEnk1EYmAJqM5UkwEANptt7969e/fulcndJhYvXmyz2Vq1aiWcPyocOr6X8LpQAjAGVG8sAdWNmjIgQ9988w0Af3//Ct/rKygqKtLpdOHh4Y5XGAOqD5aA6oAZcLWMjAwAjz32WHBwcNOmTU+ePFnpZidPnmzevHmFZ9wzBuQ0loBqixlwtYMHD5aWlgKYNGkSgOHDh1+6dGn//v0VNvv555+zsrKefvrpe9+BMSAnSX0aKymDWq8bKC4uFn5fxcXFUs9if+GFFwAEBAQIP83MzPTz84uOjs7Ly3Nsc+vWrejo6KCgoIsXL1b1PrzOgOqKZ5FSzVS8GjAajQEBAQCKi4slv8Y4MjIyOzv74Ycf3rdvn/DK+vXrR48eHR4eXv4a44KCgu+///7xxx+v5q14ainVjdQpIrlT62pAUFxc7Ofn5+fnJ/maoLS0VKfTAZg9e3b510+dOvXnP/85IiJCr9cD8PHxSU9Pr80bcmVAtccSUHXUnQFZWb9+vfCfupomrVixQqfTPffcc7V8T8aAaolHjKlKKt4pJEPHjh0D0KVLl2p2Uj3//PP/+Mc/vv322/fee68278kDyFRLPE5AlWMG3GnJkiWvvPIKAJ1Ot3jx4goPqKknHjOgGrEEVAntZMBisYwaNQrA+vXrfXx83PzpOTk5ycnJGzdudOwaAuDh4ZGVldW8eXMRP4gxoOqxBFSRdjIAKc4dMpvNu3fvTkpKSk5OTk9Pr3SbPXv2DBw4UNzPZQyoGiwB/YGmMgB3laCsrCw/P1/4j3n58mXh2TgAdDpd165de/XqNW/ePMfGrlgTCBgDqgpLQL/TWgbgyhLY7fbMzMzk5OSkpKQ9e/Y8/PDDmzZtEr70yCOPtGrVKi4ubtCgQWFhYQAMBoNwdbFer1+0aJG4xwnKYwyoUiwB/Y8GMwDXlGD9+vVbt25NTk7Ozs52vNiiRYtLly4J1wRUkJmZ2a5dO+HHGRkZjh+7CGNA9+JZpARoNQNiMZvNBw8edPx07ty5y5Yty87ONhgMsbGx06dPT01NvXjxYqUZADB//nzHj5s1a+bqaXlqKd2LawLSdAacXhNYrdbjx48LO38OHDhw9+7d3Nxc4TGTiYmJ6enp8fHx/fr1q817dujQ4dy5c8KP3XbgmisD+gPpLmojWdD4VcRO3IFu165dTz31VGhoaPn/j5o1a3b48GEnBrBarZ6eno73cedNL3gFMjlw75CmaXk1IPD39xf+T6jmX+L5+fnr16+/fPmy8NPs7OwffvghPz8/MDDw8ccfnzNnztmzZ69cudKzZ08nBkhPTy8rKwMwePDgYcOGeXh4OPcbcQJ3E9HvpA0RSUjjq4HqWSyW3bt3v/vuu927dxduDPfll18KX8rJyZk2bdqBAwdKS0vr/0HCQYJ+/frV/62cw5UB2XkHOs1iBqqSnZ2dkJDg6+tb/h9M0dHRCxcudMXHCVc4f/zxx65481piDIhHjLWIO4UcLBbLU089dePGjddee014UIzZbG7QoMHdu3cjIiLi4uLi4+MHDx7solN6SkpKGjZseOfOnYMHD0p7zJYHkLVO6hSRu3E1YLfbCwsLf/rppylTpjhO3u/UqZPjq2vXrj116pTNZnP1GImJiQA8PDwKCgokf0wCVwZaxhJoCzNgt9tHjRp174HZt99+22q1unmS+Ph4AE2aNJHJQzQZA83iuUMaosGdQna7/cyZM7Nnzx49erTNZhNe9Pf3t1qtbdq0mTRp0qpVq4QXP/jgg6qu/HKdtLQ0AP369XPz51aFZxNpFo8TaIWmMnDt2rVdu3YJ9/vMyckRXvzll1+6dOkC4Pz5856ensJt4CR8jvHNmzeFP4Xt27f369dPPo9T5jEDLZJ6UULuoKmdQl9++WX5v+He3t5xcXEzZsz49ddf791Ywt0yn376KQAPDw+r1SqTvUMO3E2kNZ4gtVPxasBqtR49elT4t/+7776bkJAA4KGHHtLpdF26dImPj4+Li+vbt2+FU0Jl4scffwRw//33u3+vVI2E3UTCyiAhIYErA9VjCVROfRmw2+0XLlxISkoS7vZ8+/Zt4fWHHnpIKEG/fv1yc3PDw8OlnLIWhMfUDBkyROpBKscYaAqPE6iZmjJgtVqFE37K38MZQEhIyKBBg+Lj4xMSElq1alXXt7Xb7SaTCYCfn59wLbF73LhxIyIiAsDp06c7duxoNpuHDh0KYNu2bbJawfCYgUawBKqlggyYzeYDBw4IO3/atGmzZs0aAHa7vW3btvfdd59w2Ve3bt3cea8esaxatWrMmDEPPfTQ8ePHpZ6lBoyBFnDvkDopOgPHjx/fuXNncnLyzz//fPfuXeHFrKwsm82m1+t1Ot25c+fK379TiZKSkgDExcVJPUjNuJtIEyQ9Xk0uocQzha5du+b4ca9evRx/P5s2bTpu3LiVK1eW30BEFotl3Lhx48aNs1gsrnj/Slmt1uDgYABbt25124fWE88mUjfuHVIbBa0GCgoK9uzZIxz7zcrKunXrlvD9ccaMGQcOHBDO/ImKinLp7ntJrifYunXro48+CuDWrVvCcw6MRqNwfUNWVpbk1xNUhbuJ1EzqFJGYFLEaOHny5Pvvv9+jR4/yZ096eHikpKS4fxhJTuR/6qmnADRo0EDaMZzAlYFaye5EZnKabFcDdrv91KlTeXl5wk8PHDggPNrXZrNFRUW9/vrrGzduzM/PHzBggLRzus3+/fsB9OjRQ+pB6oy3o1AtqVNE4pDhauDq1avLly8fM2ZM48aNAXz99dfC6xcuXBgzZkxiYuKVK1ekndAuxT/GjUaj8InffPONhGPUB1cG6sMSqIGsMnD9+vW//OUvHTp0KP8PDl9fX2kfxlIV938LFv6wdDpdSUmJhGPUE2OgMjxirHiS7xQqLS1NTU29e/fuoEGDANy5cyc0NNRqter1+piYGOGs/969e3t7e7t5sNpw/xHj2NjYlJSU5s2bX7lyRcIx6o8HkFVF6hRpy5AhQ0JCQq5fv17+xdu3b0dERPTo0cOJ++NLtRqw2Wxnz56dPXv28OHDAwMDAfTo0cPx1RkzZgjPfHfbPE5z/z/GQ0JCAIwdO7bGMYTn2KSlpTleuX37dvfu3b29vbdt2+aeaavHlYFqsARudfHiRT8/v9GjR5d/cfLkyZ6enidOnKjru0mVgbfeeqt58+bl/z0RGhr67LPPuv9JL/Vns9lyc3Nzc3Pd8IQyu91eWFgonDFV/vu73W43mUwxMTExMTEmk8nxYoUSFBYW9ujRw9vbW1ZXITAG6sASuNuMGTMA7NixQ/hpamqqXq9/++236/o+bsuA0Wjctm3bBx984Phe+cwzzwDw9vYePHjwP//5z6NHjyqxAZLYuHEjgPvvv782G5cvwZ07d3r16mUwGDZv3uziGeuMMVABlsDdSktLH3zwwdatW5vN5rKysq5du7Zq1cpoNNbpTVydgbKysiNHjkyfPn3gwIEGg0H4rLNnzwpfPXLkyM6dO8v/65Vq6S9/+QuACRMm1GZjRwmKior69OljMBg2bdrk6gmdwxgoHUsggcOHD+v1+vfee++rr74CsH379jr9cldnIDExsUGDBuV3/rRo0WL8+PEZGRmif5bkLBbL5MmTJ0+e7J67TQhHgxcsWFCbjYUSpKSk9OvXz8vL66effnL1ePXBGCgaSyCNKVOmeHl5BQQEVDhmUCPRM5CXl7d27dpXXnnlwIEDwitbtmwBEBwcPHLkyHnz5v33v/91zz50SbjziHFqaqrwWRcuXKjwJaPRGBkZGRkZWX51KJQgMjLSy8trw4YNrh6v/hgD5WIJpFFYWBgREREUFFThPKLqiZUBs9mcnJz8zjvvdOvWzXFXn3feeUf4qtFoPHToUGlpqdPvryDuLMHLL78MwN/fv5ZjCCXw8fEJDAw8duyYq8cTBWOgUCyBZAYMGNCxY8faby9WBi5cuODj41N+50+nTp3eeOON/fv3O/2eyuXOEgj3mOvTp08txxBKsGLFirCwsIYNG547d87VE4qCMVAi3ndIGZy+fCw7O3vp0qXPPvvsX//6V+GVli1bBgUFNW3a9Pnnn//2229zcnJOnTo1a9asvn37ump6Amw2W3Z2NoBRo0bV6RdGR0dv3brVbDbHx8eXvxhNtnhvIkWSOkXaVfs1QV1XAwUFBT/++OPkyZPbtm3r+IOOiIhw7O7PyclR8a7/OnHbmmD9+vXCBxUWFtZyjPJnkSYnJ3t7e7dv3z43N9elc4qFKwNl4ZpA7mq5GrBarY4fDx48eOTIkV9//XVmZqaHh0fv3r0/+OCDdevW2X+7s0iTJk3c+cxeArBixQoAYWFhQUFBTvzywYMHr169+vz580OGDLlz547Y04mPKwNlYQlkrfoM2O3206dPz5o169FHH23cuLHwZHYAgwYNat++/WuvvbZhw4Zbt24dPHhw2rRp/fr1K/88AHKzCxcuAKjPzXlGjhy5ePHiX3755fHHH7dYLOKN5iqMgZJIvSjRrhr3DlW1U+jatWsrVqwYO3ZsRERE+T/KnTt3Chto5LQfUVit1kuXLl26dMmll0lbLBY/Pz8Av/zyS6UbGI3G6Ojo6Ojoe88irXBfii+++ALAY489ppQ/Ze4mUgTei1SmKqwGfH199Xq9cF3SV1999eabbwqb+fr69u/fX7jf5wMPPMB/9cvT3r17Bw4c2KhRo2vXrmnwz4h3LZU/zf2lVARHBgICAl599dVRo0aFhoauWbNG+Gp8fHxMTMy77767a9eu/Pz87du3T506tXPnzhr8FqMUP/zwA4DBgwdr88+Iu4nkj2sC2Sn/T/7yJk6cKOwZcDAYDF5eXgCsVmulO469vLyEuwbVuIHNZjObzU5s4OnpKTx4wG63Ow5U1GkDDw8Px/UNjud51WkDvV7v6+tbyw2E2yU5vlRSUvLRRx/pdLrPP/9c+J1W2ECg0+mE3TsAzGazzWa791MczxW4d4NGjRqZTKa33nrryy+/BGCxWMof4a+eS3/7gvK/O1f89h2ElYGXl9ebb74p3IqR5EK6HVNUiRMnTpT/0wkNDX366aenTJlS6Z/d3LlzhV+1Z8+eSjf4/PPPhQ0c9zmo4MMPPxQ2OH36dKUbTJ06Vdjg0qVLlW4wefJkYYPc3NxKNxg3bpywgeNEyQqeeuopx2+/0g2GDRvm2MDx/ai8AQMGODYIDw+/d4OYmBjHBpGRkZV+iuP0zejo6Hu/GhkZ6XiHmJiYezcIDw93bFDVA5kPHz4sbDBs2LBKN6iUG3770dHRjg1c9Nv38/MT/g44zmz+4osv7CQbWlyryln79u2Fp/4CGDduXG5u7tq1a4cMGSLtVCSKnj17Sj2CxJYtW5aZmQnAy8trzJgxUo9Dv+PeIdm5ffv2yJEjU1JSfH19t2/f3r9//7Kysrt37967JfcOCeqze8RoNArpdTw2UvTdI927dz979mzHjh0dCy9t7h1atmyZcFPu0NDQ9PT08me+ffTRR9OmTbt582aFNU2nTp3Cw8NTUlLufTcSl6fUA1BFISEh27Zte+KJJ3bs2DF06NBt27b179/f07O6PykPD4/qH35b4waOE5Oc3kCn09VzA5T7buK6DSrdwVKnDRzfVWu5wfnz5wGMGDHC8UqF+z7VnhJ/+4I5c+YIGQgLCzt//rzwCE+SD+4dkiMfH58NGzYkJCSYTKahQ4fu27dP6onISfv37y8tLQUwYcIEqWeRDDMgfyyBTDEG6rB48WIAgYGBLVq0kHoWaTADisASyBdjoAI3b94EMGjQIKkHkQYzoBQsgawxBq7m6+t7+vTp06dP17j72wk2m004f3fq1Kmiv7n8MQMKwhLIHWPgUnq9vmPHjh07dnTF1b8nTpy4detWQECABs8fZQaUhSVQAMZAoebOnQugT58+wsm+2iFiBnj7dPdgCZSBMXAR4W4TH330UUlJiehv/tNPPwEICAgQ/Z3lzIkMCKfV3nvBislkcvqMW6oTlkAxGANXKC0tnTZt2rRp04RzPUWUn5+fn58P4IUXXhD3neXMudWAcA+MjIyM8i+aTKYrV65UdXcQEhdLoCSMgYIsWbIEgF6vf/TRR6WexU2c3ik0ePBgg8Ewf/788hcnL1q0qKysbOjQoa4YlSqS8J5H5Byz2ZyQkADAz89v7969Uo+jbK57jnGPHj0AtG7dWty3la3Zs2cL/yXDwsIKCgrq+ss//fRTAH379p0xY8acOXNGjx4N4JFHHnHpE4TIgSVQJMZALK4rgXBa6sSJE8V9W3mqZwYEK1eu7NWrl7+/v7e3d1RU1LRp0ywWi6hjUpV4Bzqlslgswr2J/Pz8hHsTST2RIhmNRuGIruMOdKLIyMiIiooC8J///OfBBx8U623liSeMqgCPEygVjxnI2dKlSwF4e3szA6QILIGCMQayVVBQAODJJ5+UehDXYgZUgyVQNsagnnx8fFJTU1NTU0U8b91utyclJQEYO3asWO8pQ8yAmvA4gRrwmIGsnD9/vm3btl5eXgUFBSIee5AVZkBluCZQA64MZOXjjz8G0KZNG2aAlIIlUAnGwDklJSUzZ86cOXOmiHeb2LVrF4CmTZuK9YaywgyoEvcOqQp3E9WV6GeRlpSUCM9tXrJkyfjx4+v/hrLCDKgV1wSqwpWB5FauXCn8YMyYMdJOIjpmQMVYArVhDKS1evVqAE2aNFHZTTSZAXVjCVSIMZBQWloaAJXtl2MGVI8lUCfGQBI3btwoLCwEoKYjBMyAFrAEqsUYuN+2bdsAeHp6Dh48WOpZxMEMaARLoGaMgZudPHkSwPPPP++KpyK7HzOgHWr4+0rVYAyq5+Pjs2fPnj179ohygDc5ORnAI488Uv+3khwzoCm8nkATeJ2BG1y4cKFNmzYAcnNzGzZsKPU49cIMaA3XBJrAlYEbfPHFFwBCQkKYAVIclkArGINKlZaWzps3b968efV/or1w/9F27dqJMZdkmAFt4t4hbeFuogrEutuEzWbz8vKy2Wz//Oc/33nnHfEGdCtmQLO4JtAWrgxcZOvWrTabDcArr7wi9SxOYga0jCXQHMbAFRITEwGEhoaGhoZKPYszmAGNYwm0iDGoj8JC2GwVXzxw4ACAnj17SjBQvTEDxBJoFGPgtEmT0KQJ/vxnJCbiyhUAMJlMN27cgDLvP8oMEHjEWON4ALmuR4ztdrRpg4sXf3+lfXt06HBlw4YpBsMhozHH09PTddOKjhkgAUugdRqPgRPnDpWU4PBhJCUhKQlpab/vKdLprL16ecTHIz4ePXvCy8t1U4uDGSAHloA0HYOysrIdO3YASEhIcOKf87dvY88eTJ68/vr1B4DfryQICMDAgXjkEUyZAp1OzIHFwgxQeSwBAdqOQT1duXIlMjLSbrf//HN2RsZ9SUnYtQt5eQDw0EM4flzq+SrDDFAFLAH9D2PgnPfff/+zzz7z8vIqKSkRXrHZ8J//ICkJYWGQ4XMKmAG6F0tAv9NgDEpLS7/77jsAY8aM8XJq137nzp1PnjwZHR2dnp4u9nTiYwaoUiwB/YHWYlD/u014e3uXlJS8/fbbM2bMEHs6kTEDVBVeT0B/wOsM6iQtLU3YKTRp0iSpZ6kBM0DVYAmoIsag9hYsWADA39+/ZcuWUs9SHWaAqscSUCUYg1ravXs3gIceekjqQarDDFCNWAKqHGNQI5vNlp2dDeCpp56SepYqMQNUGywBVYkxqN7p06dtNpu3t/dLL70k9SyVYwaollgCqg5jUA3hIWWxsbFBQUFSz1IJZoBqjyWgGqg7Bt7e3mvXrl27dq23t3ddf61Qgvj4eBfMVV/MANUJryegWtHadQY1unPnTkhIiN1uP3z4sNweS8AMUF1xTUC1ou6VgROWLl1qt9v1en337t2lnuUPmAFyAktAtaXKGJSVla1bt27dunVlZWV1+oU//PADgBYtWuj1MvqfiBkg53DvENWNynYTOX23iYCAAKPROH78+CVLlrhsurphBshpMvrnDCmCKlcGdXXx4kWj0Qhg4sSJUs/yP8wA1QdLQHXGGMyfPx+AwWCIiYmRehaAGaB6YwnIGRqPwdatWwFERUVJPQjADJAYWAJykpZjcO3aNQCPP/641IMwAyQOHjGmelH6AWQnjhhfunTp/vvv1+v1t27dkvY7LzNAYuGagOpFgyuD5ORkAL1792YGSDVYAqovRcfAYDAkJiYmJiYaDIZa/pIff/wRUt9kghkgcXHvEIlD6buJaqm0tNTb29tut69atWr06NGSzMAMkOi4JiBxKHplUHtr1qwR/vE0YsQISQZgBsgVWAISjRJjUFZWtmXLli1bttTybhMrV64E0LhxYz8/PxePVglmgFyEe4dIZMraTVTXc4dCQ0MLCgpGjRol3HfInZgBch2uCUhkSlwZ1FJ+fn5BQQGAF1980c0fzQyQS7EEJD61xmDhwoUA9Hr90KFD3fm5zAC5GktALqHKGAjnjwqXlbntQ5kBcgOWgFxFfTEoLCwEMGrUKLd9IjNA7sEjxuRaMj+AXPsjxjdv3mzUqBGA69evN27c2A2zMQPkNlwTkGupZmWwa9cuAA888AAzQOrDEpDLyTkGBoNh7ty5c+fOrfFuEwsWLADgnjUNM0Buxr1D5CYy301UPZvNZjAYrFbrJ5988ve//92ln8UMkPtxTUBuIueVQY2Sk5OtViuAV1991aUfxAyQJFgCch8ZxsBqtaakpKSkpAjf6KuybNkyACEhIcJBYxdhBkgqLAG5ldxiYLFYYmNjY2NjLRZLNZsJc1bz1OL5afMfnP9g0D+Cgv4R1Htp722Z2/73/mWW17a8FvZ5WMBnAaPWjrpRfMPxSzZmbGw3p137ue03/3czmAGSFI8TkATkc8ygNmeRWiwWX19fAMuWLavqPhObMjZ56D3ahra1w77ixIqZB2cen3C8Y6OOkzZP2pK5ZfkTy4O9g6dsm6LX6Q+8dADA3bK7bea0SRyRaLfbX9r40lseb73117fADJBU7ERSMJvNCQkJAPz8/Pbu3SvVGMXFxcL/CMXFxVVts3jxYgA6ne7u3bu1fNsG/2yw5NiS2+bbXh97rUtfJ7x49uZZfIRDVw7Z7fZCS2HkrMibxps3jTdDPw6FAQDCwsIKCgrq/XsiqjPuHSJpyG03UTXWr18PoEmTJrV5rpnVZv3+9PfGUmPv+3ofu3as1FYad3+c8KWo8KgWwS0OXTkEIMg76MWHXmzyZZOImRH5O/JRwtUASYklIMkoJQYmkwnAyy+/XP1mp26cCvgswPtT74mbJ/74px+jG0ZfL75u8DCE+IQ4tmns3/h68XXhxx8O/HB60HTrZ1YcYAZIYiwBSUn+MSguLj506BCA5557rvot24e3PzHxxJGXj0yKmTRuw7gzN89Uv/2cOXPeeeMdrgZIDlgCkpjMY7B3797S0tKWLVu2bt26+i0NHoY2oW26Ne32j7h/dG7c+V+H/xUREFFiLbltue3Y5obxRkRABHimEMkMS0DSkzAGXl5en3/++eeff+7l5VXpBp988gmAjh076nS62r+tzW67a73brUk3L73Xrou7hBcz8jKyC7N739ebGSC54VmkJBfyObW0PB8fn7t3777xxhuzZs2qZrN3k98d2nZoi+AWRXeLVp1aNePAjB1jd8S3jp+0edLW81uXj1ge5B30+rbXAYw2jWYGSG5YApIRucXgxIkTXbp0AZCRkdGuXbtqthz/0/hdl3ZdK74W7B38YOMH3+n7TnzreACWMsvfdvxt9enVd613E1ondLve7e9v/B3MAMkMS0Dy4uYYWK3WX375BUDXrl09PDwqfHXixIkLFy708/MzGo31/yzuFCLZYglIdtwZg+qvMW7duvXFixd79ux5+PDhen4QM0ByxiPGJDsyOZvIZrNlZWVBjMdVMgMkcywByZEcYrB582abzQbglVdeqc/7MAMkfywByZTkMdizZw+A8PDw+nzvZgZIEVgCki9pY5CZmQngb3/7m9PvwAyQUrAEJGtSxaCkpCQlJQWAcMNUJzADpCAsAcmdJDHYsWOH0WgMDw/v3LmzE7+cGSBlYQlIAVwXAy8vrw8//PDDDz+scLeJmTNnAmjYsKFeX+f/R5gBUhxeT0CK4c7rDAIDA4uLi8eNG7d8+fI6/UJmgJSIawJSDLftJsrOzhaeZVbX80eZAVIoloCURPQY2Gy29PT09PR04dIBwfz58wF4eXn17du39m/FDJBysQSkMOLGwGw2d+rUqVOnTmaz2fHili1bALRv377278MMkKKxBKQ8rt5NdO7cOQDDhg2r5fbMACkdS0CK5LoYHD58uLS0FMDkyZNrsz0zQCrAEpBSuSgGR48eBdC0adPIyMgaN2YGSB1YAlIwV8Tg4MGDAF566aUat2QGSDVYAlI2cWNQVmbbvj0ZQHx8fPVbMgOkJiwBKZ6IMZg3b3NBwU3A95tveqWmVrkZM0AqwxKQGjgdAy8vr6lTp06dOlW428S33y4CAAQsXWro2RMPP4x734kZIPXh3SZIPep/O4rw8PBbt2716TOidesNa9agpAQAxozB7NkIDQWYAVIploBUpT4xuH37doMGDQD8+9//HjlyZE4OPv4YixfDZkPz5li/HkeOMAOkTiwBqU2dYmCz2bKzswG0aNFi1qxZU6dO1ev1paWljluQpqZi7FhkZsLLq6y0dCSwmRkg9eFxAlKbOh0zMJvNrVq1atWqldlsXr9+PYDIyMjyd6Lu0QNHj6Jjx0ulpZ7Av4OCHmMGSH1YAlIh5w4g/+c//wEQFxdX4fUVK+akp7cFVnt57cvI+JYZIPVhCUid6hqD7Oxsk8kEYMKECeVf/+0QsTU09I3s7G4RESGum5lIKiwBqVadYnDs2DEAkZGR3bp1c7xY/kyhCxcymAFSK5aA1Kz2Mdi9ezeAESNGOF7hCaOkHSwBqVwtYyCUwHGTCWaANIVnkZImVHVqqdFoDAgIEH6s0+kKCwsDAwOZAdIarglIE6paGXh6ek6ePLlt27YAAgMDmQHSJq4JSEOqWhk0b978119/jY2NHTlyJDNAGsQ1AWlIpSuDkpKSnJwcAA0bNmQGSJu4JiDNKb8y2Lp168mTJ4UACJgB0iCWgLTIEQNfX1+z2ex4nRkgbWIJSKMcMXC8wgyQZrEEpF0Wi6VLly7nzp0D4Ovrm5OTwwyQNvGIMWmXj4/PN998o9PpAHA1QFrGEpD6LV++XKfTHT169N4vde/ePScn59dff23atKn7ByOSCU+pByCSWEREhNQjEEmMawIiIq1jCYiItI4lICLSOpaAiEjrWAIiIq1jCYiItI4lICLSOpaAiEjrWAIiIq1jCYiItI4lIPUTbrjr4eEh9SBEMsUSkPoVFRUBCAoKknoQIpliCUj90tLS/P39IyMjpR6ESKZ4L1JSs/Xr16ekpHz33Xcvv/yypyf/thNVjs8sIzVr1apVUVHRyJEjv/rqK39/f6nHIZIploCISOt4nICISOtYAiIirWMJiIi0jiUgItI6loCISOtYAiIirWMJiIi0jiUgItI6loCISOv+Px2LpEPH3jvYAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'U': (0.87, 0.37), 'M': (0.5, 0.73), 'Y': (0.13, 0.37), 'J': (0.5, 0.0), 'B': (0.77, 1.0), 'Q': (0.63, 0.5), 'K': (0.63, 0.37)} radius = 0.0 connection_dict = {'U': ['M', 'J', 'K', 'Y'], 'M': ['U', 'Y', 'B', 'J'], 'Y': ['M', 'J', 'B', 'K', 'U'], 'J': ['Y', 'U', 'B', 'Q', 'M'], 'B': ['J', 'M', 'Y', 'Q'], 'Q': ['J', 'B', 'Y', 'K'], 'K': ['Y', 'Q', 'U']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.78, 0.58), 'Q': (0.66, 0.0), 'U': (0.22, 0.77), 'C': (0.34, 0.73), 'V': (0.28, 0.75), 'E': (0.36, 1.0)} radius = 0.5919845974358733 # 连接关系 connection_dict = {'O': ['C', 'U'], 'Q': ['U', 'C'], 'U': ['Q', 'C', 'O', 'V'], 'C': ['U', 'O', 'Q', 'V'], 'E': ['V'], 'V': ['E', 'C', 'U']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.0, 0.07), 'I': (1.0, 0.07), 'X': (0.5, 0.93), 'B': (0.5, 0.07), 'M': (0.88, 0.27)} radius = 1.0 # 连接关系 connection_dict = {'O': ['I', 'X', 'B'], 'I': ['O', 'B', 'M', 'X'], 'X': ['O', 'B', 'M', 'I'], 'B': ['I', 'O', 'X', 'M'], 'M': ['I', 'X', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.14, 0.24), 'F': (1.0, 0.24), 'D': (0.6, 0.76), 'E': (0.0, 0.76), 'I': (0.57, 0.24)} radius = 0.0 connection_dict = {'G': ['F', 'E', 'I'], 'F': ['G', 'D', 'I'], 'D': ['F', 'E'], 'E': ['G', 'D', 'I'], 'I': ['G', 'F', 'E']}
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", 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<image>
# 顶点坐标 coordinates = {'Z': (1.0, 0.5), 'N': (0.75, 0.93), 'F': (0.25, 0.93), 'S': (0.0, 0.5), 'G': (0.25, 0.07), 'D': (0.75, 0.07), 'I': (0.32, 0.5), 'K': (0.16, 0.5)} radius = 0.0 connection_dict = {'Z': ['N', 'D', 'I'], 'N': ['Z', 'F'], 'F': ['N', 'S'], 'S': ['F', 'G', 'I', 'K'], 'G': ['S', 'D'], 'D': ['G', 'Z', 'I'], 'I': ['D', 'Z', 'S', 'K'], 'K': ['S', 'I', 'G']}
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YMWP2799vYmJCO5TSqqmpMTY2rq2tvXPnjr29Pe048gJrAgBqGIYJDQ21sbG5fv26rq5uUFDQ6dOnUQNSpa2t/dlnnxFMEP03NAEAHW/evJkwYcLUqVMrKyvd3NyysrL8/f0xJyoD4gkinCr4M+wOAVBw4cKF6dOnFxQUqKqqrlu3btmyZSoqKrRDscXbt29NTU2FQmFubq6VlRXtOHIBawIAmaqpqVmwYIGXl1dBQUGPHj2Sk5NXrlyJGpAlIyMj8QgpNojeQxMAyE56erqDg0NgYCAhZMGCBenp6X369KEdio1wsfEHsDsEIAsCgWDjxo3r1q0TCAQWFhbBwcHi85ZAxcuXLy0tLTkcTkFBAW7lRLAmAJCBJ0+eDBw4cPXq1QKBYMKECXw+HzVAV/v27R0cHBiGiYqKop1FLqAJAKSIYZigoCA7O7tbt27p6+uHhob+8ccfrVu3pp0LMEH0X7A7BCAtxcXFs2bNEj9FfdCgQYcPH+7QoQPtUPBv9+7d6927t7q6emlpKR77gzUBgFRER0fzeLzIyEg1NbVNmzYlJCSgBuRKz549u3bt2tDQEBsbSzsLfWgCAAmrrq6ePXv2qFGjiouLe/funZqaumTJEsyJyhs8ruDP0AQAkpScnGxnZ7d//35CyPfff5+ammpra0s7FHyc+FTB+fPnGxoaaGehDE0AIBmNjY0//fRTv379cnNz27dvn5CQsHXrVk1NTdq54C+5uLiYm5tXVFRcuXKFdhbK0AQAEvD48eN+/fqtW7dOKBROmjQpOzt7yJAhtEPBP+ByuaNHjyaYIEITALQQwzB79+61s7NLTU01NDQ8duxYeHi4oaEh7VzwScSnCiIjI0UiEe0sNGGKFKD5CgsLZ8yYERMTQwgZOnRoSEhIu3btaIeCJmhoaDAxMamoqEhKSnJ1daUdhxqsCQCa6ezZszweLyYmRkNDY8eOHRcvXkQNKBx1dfURI0YQ1k8QoQkAmqyystLf33/s2LGlpaV2dnbp6ekLFy7kcvHTpJDeX2zM5g0S7A4BNM3NmzenTJmSl5fH4XCWLl26bt06DQ0N2qGg+SoqKkxMTBoaGu7du9ezZ0/acejAbzEAn6qhoWHlypWDBg3Ky8vr0KHDtWvXNm7ciBpQdPr6+h4eHoTdE0RoAoBP8uDBA1dX119//VUkEk2dOjU7O3vAgAG0Q4Fk4GJj7A4B/AORSBQYGLhs2bK6ujojI6P9+/ePHz+ediiQpKKiIgsLC4ZhXrx40b59e9pxKMCaAODv5Ofne3l5LVy4sK6uzsvL6+7du6gB5WNmZubm5kYIEd84loXQBAB/6fjx4zweLz4+XktLKzAwMCYmxsLCgnYokAqWP64Au0MAH1FeXv7NN9+EhYURQhwdHY8cOdK9e3faoUCKnjx50qVLFxUVleLiYiMjI9pxZA1rAoAPXbt2zcbGJiwsjMvlrlq1KikpCTWg9KysrHg8nlAojI6Opp2FAjQBwH/U19cvWbLE3d39xYsXVlZWN2/e/Pnnn9XU1GjnAlkQbxCxc4IIu0MA/8bn8319fbOzswkhM2fO3L59u66uLu1QIDsZGRl9+vTR0tIqLS3V1tamHUemsCYAICKRaNu2bY6OjtnZ2SYmJpGRkQcOHEANsI2dnV2HDh1qa2vj4+NpZ5E1NAGw3YsXLzw8PBYvXtzQ0DBy5Eg+n+/j40M7FFDw/nmWLJwgQhMAezEMEx4ebmNjc+XKFW1t7X379p07d87MzIx2LqBGfKogKipKIBDQziJTOE8ALPXu3bu5c+f+8ccfhBAXF5ewsLAuXbrQDgWUCQQCc3PzN2/eXL582d3dnXYc2cGaANjo0qVLPB7vjz/+UFFRCQgIuHnzJmoACCGqqqrivUG2TRChCYBdamtrv/vuu2HDhuXn51tbW9+6dWv16tWqqqq0c4G8eH83Olbtl2B3CFgkIyPD19f3/v37hJC5c+du3rxZR0eHdiiQL7W1tcbGxjU1Nenp6X369KEdR0awJgBWEAqFGzdudHFxuX//vrm5eUxMzO7du1ED8L+0tLS8vLwIyyaI0ASg/J49e+bu7r5ixYrGxsaxY8fy+fzhw4fTDgXyi4UXG6MJQAKqqqrWrl3r5eVlZGTE4XBCQkI++IYHDx54eXnp6uoaGRn5+fmVlJTIJhjDMCEhITY2Njdu3NDV1Q0ODj516pSxsbFsjg4KytvbW1VV9e7du7m5uc14+507d3x8fIyMjLS1tXv37r1z506JJ5Q4NAFIQGlpaUBAwIMHD2xtbf/3q69evRo4cGBubu6GDRt++OGH8+fPDxs2rKGhQQapPv/88+nTp1dWVvbr1y87O3vatGkcDkfaxwVF16pVq8GDB5NmLQsuXrzo6upaXFy8evXq33//feTIka9evZJ4QsljAFqsrq6uoKCAYZjU1FRCSHBw8J+/OnfuXC0trefPn4v/KL6Uf9++fVKNFBMTY25uTghRU1P79ddfBQKBVA8HSiYwMJAQ4ubm1qR3lZeXm5mZjR07VigUSimYlGBNABKgoaEh/mf3o06dOjVy5EhLS0vxHz08PKytrY8fPy6lMDU1NfPnzx8xYkRhYWGPHj2Sk5OXL1+uoqIipcOBUho9ejQh5NatW4WFhZ/+rqNHjxYVFf3yyy9cLre6ulokEkktoIShCUC68vPzi4uLHR0d//yis7NzRkaGNA6Xmppqb2+/e/duQsjChQvT09Pt7e2lcSBQbu3atXNycmIY5ty5c5/+rkuXLunr6+fn53fr1k1XV1dfX3/u3Ll1dXXSyykpaAKQroKCAkLIBw99tLCwePv2bX19vQQPJBAIfv75Zzc3t8ePH7dp0+bixYs7duzQ0tKS4CGAVZoxQZSTkyMQCEaPHv3ZZ5+dOnXK399/796906dPl1ZEyUETgHTV1tYSQjQ0NP78oqam5vsvSURubu6AAQPWrFkjEAi++OILPp8/bNgwSX04sJP4YuOEhISKiopPfEtVVVVNTc2UKVN27tw5bty4nTt3zp49OyIiIicnR4pBJQFNANIl/q38g1//xetlifzCzjDMgQMH7Ozsbt++bWBgEBYWFhERwcLn0ILE9ejRo1u3bg0NDbGxsZ/4FvFf6a+++ur9K5MmTSKE3Lp1SxoJJQhNANIl3hcS7xG9V1BQYGRk9MFCoRmKi4vHjBkza9as6urqwYMHZ2dnT548GXOiIClNfVxBmzZtCCF/vrG5qakpIeTdu3eSDydRaAKQrrZt25qYmKSlpf35xZSUFDs7uxZ+clRUVO/evc+dO6eurr5ly5aEhIT340kAEiE+VRATE/OJ57QcHBwIIfn5+e9fef36NSHExMREOgElBk0AUjd+/Pjo6OiXL1+K/5iQkPD48eMJEyY0+wOrqqpmzZrl4+NTUlLC4/FSU1MXL17M5eIvM0iYk5OThYVFZWXl5cuXP+X7v/jiC0JIUFDQ+1cOHjyoqqoqvk5NnuFmvCAZgYGBZWVl4t+AoqKixNdVLliwwMDAYOXKlSdOnHB3d1+4cGFVVdXmzZt5PF6zBypu3brl5+f35MkTDoezePHin3/+WXz+GUDiuFzumDFj9uzZc/bs2U+5V5W9vb2/v/+hQ4cEAsGgQYOuXr164sSJFStWiHeN5BrtS9tASXTo0OF//3bl5eWJv3r37l1PT09tbW1DQ8PJkycXFhY24xANDQ2rV68W/+7fvn37K1euSDA/wEdduHCBEGJmZvaJl6k3NDT89NNPHTp0UFNT69Kly/bt26UcUDLwfAJQDI8ePfL19RWfb5g8eXJgYKChoSHtUKD8GhoaTE1Ny8vLExMT3dzcaMeRFmytgrxjGGb37t329vZpaWmtWrWKiIgICwtDDYBsqKure3t7E2V/XAGaAORaQUHBiBEj5s+fX1tb6+HhwefzJ06cSDsUsIt4gujMmTNKvIOC3SGQX6dPn541a9abN280NTV/++23b775BgNCIHtVVVXGxsb19fV8Pr93796040gFfq5AHlVUVEyfPn38+PFv3ryxs7NLT0//9ttvUQNAha6urvjmJUq8QYQfLZA7N27csLW1DQkJ4XA4K1asSE5O7tmzJ+1QwGrii42V+HmW2B0COdLQ0LB27drffvuNYZiOHTseOXKkf//+tEMBkJKSEnNzc5FI9OzZs48OTCs6rAlAXty7d8/FxWXjxo0Mw0yfPj0rKws1AHLCxMSkX79+hJDIyEjaWaQCTQD0iUSi33//3cHBITMzs3Xr1qdOnTp06JC+vj7tXAD/8X6CiHYQqcDuEFD26tWr6dOnX7p0iRAyfPjwoKCgDx5rAyAP8vLyOnfuzOVyi4uLW7duTTuOhGFNADT98ccfPB7v0qVLWlpau3fvPn/+PGoA5FOnTp1sbW1FIlFUVBTtLJKHJgA6ysrKfH19v/zyy7KyMicnp4yMjLlz5+LRAiDPlHiCCLtDQMGVK1emTp368uVLLpe7atWqVatWqamp0Q4F8A+ysrLs7Ow0NTVLS0t1dHRox5EkrAlApurq6n744YehQ4e+fPnSysoqMTFx3bp1qAFQCDY2Nh07dqyrq7t48SLtLBKGJgDZyc7OdnZ23rp1K8Mws2bNyszM7Nu3L+1QAJ+Kw+Eo6wQRmgBkQSQSbdmyxcnJic/nm5qanjt3bt++fbq6urRzATSN+FRBdHR0Y2Mj7SyShPMEIHXPnz+fNm3a1atXCSGjRo06ePCg+DHfAApHKBSam5uXlpZeunRp6NChtONIDNYEIEUMw4SFhdnY2Fy9elVHR+fAgQORkZGoAVBcKioqPj4+ROkmiNAEIC1v376dOHGin59fRUVF3759MzMzZ86ciTlRUHTiUwVnz55Vpg0VNAFIRXx8PI/HO3HihKqq6s8//3zjxo0uXbrQDgUgAR4eHjo6Oq9evUpPT6edRWLQBCBhtbW1Cxcu9PT0fP36dbdu3W7durVq1SpVVVXauQAkQ1NTc/jw4US5JojQBCBJd+7ccXBw2LlzJyFk/vz5d+7ccXR0pB0KQMKU72JjzA6BZAiFwk2bNq1Zs0YgEJibmwcHB3t5edEOBSAVZWVlJiYmAoHg0aNH1tbWtONIANYEIAF5eXmDBg1auXKlQCAYN24cn89HDYASMzQ0dHd3J0q0LEATQIswDBMcHGxjY5OYmKinpxcSEnLy5EljY2PauQCkS8kuNsbuEDRfSUnJ7NmzxT8M/fv3P3LkSMeOHWmHApCF/Pz8du3aEUJev36tBLdSx5oAmikmJobH4505c0ZNTW3jxo1Xr15FDQB7tG3b1sXFhSjL8yzRBNBk1dXVc+fO9fb2Lioq6tmzZ3Jy8rJly1RUVGjnApApZZogwu4QNE1KSoqfn9/jx48JId99992vv/6qqalJOxQABY8ePerevbuamlpJSYmBgQHtOC2CNQF8KoFAEBAQ4Obm9vjx47Zt28bHx2/fvh01AKzVrVu37t27NzY2xsTE0M7SUmgC+CQ5OTn9+/dfu3atUCicOHFidna2h4cH7VAAlCnNBBGaAP4BwzD79++3s7NLTk42MDAIDw+PiIgwMjKinQuAPnETxMbG1tXV0c7SImgC+DtFRUU+Pj6zZ8+uqalxd3fn8/mTJk2iHQpAXjg4OLRt27aqqiohIYF2lhZBE8BfOnfuHI/Hi46OVldX37p166VLl9q3b087FIAc4XK5yjFBhCaAj6isrJw5c+bo0aNLSkpsbGzS0tK+//57Lhd/WwA+JG6CyMhIoVBIO0vz4WcbPpSUlGRnZxcUFMThcJYsWZKSksLj8WiHApBTgwYNMjQ0LCkpuXXrFu0szYcmgP9obGxctWrVgAEDnj59amlpeeXKlU2bNmloaNDOBSC/1NTURo4cSRR8gghNAP/28OFDV1fXX375RSQS+fn5ZWdnDxo0iHYoAAWgBM+zxDXGQBiG2bVr15IlS+rq6lq1arVv374JEybQDgWgMKqrq42Njevq6rKysmxsbGjHaQ6sCdju9evXw4cPX7BgQV1dnaenJ5/PRw0ANImOjo6npydR5AkiNAGrnTx5ksfjXbhwQVNTc+fOnbGxsW3btqUdCkDxiCeIFPdUAXaHWKq8vPzbb78NDQ0lhNjb24eHh/fo0YN2KABFVVpaamZmJhKJ8vLyFPH27FgTsNH169dtbW1DQ0O5XO7KlStv376NGgBoCWNj4wEDBhCF3SBCE7BLfX39smXLBg8e/Pz5806dOl2/fv2XX35RV1ennQtA4b2fIKIdpDmwO8Qi9+7dmzx5clZWFiHE399/x44denp6tEMBKIlnz5516tSJy+UWFhaamJjQjtM0WBOwgkgk2rFjh4ODQ1ZWlrGx8ZkzZ4KCglADABLUsWNHe3t7kUgUHR1NO0uToQmU36tXrzw9PRctWlRfXz9ixAg+ny+ecwAAyVLcCSLsDim5Y8eOzZs3r6ysTFtbe+vWrbNnz+ZwOLRDASgnPp9vY2OjoaFRWlqqq6tLO04TYE2gtN69ezdp0qRJkyaVlZU5OztnZGTMmTMHNQAgPb179+7cuXN9ff2FCxdoZ2kaNIFyunz5so2NzbFjx1RUVNauXXvz5k1ra2vaoQCUHIfDUdAJIuwOKZu6urqVK1du376dENKlS5ewsDAXFxfaoQDY4ubNmwMGDDA0NCwuLlZTU6Md51NhTaBUsrKyHB0dxTUwe/bszMxM1ACALLm6upqampaVlV27do12liZAEygJoVC4adMmJyene/fumZqaRkdH7927V0dHh3YuAHZRUVHx8fEhijZBhCZQBs+fPx8yZMiyZcsaGxtHjx599+5db29v2qEAWEp8qiAyMlIkEtHO8qnQBIqNYZjQ0FAbG5vr16/r6OgcPHjwzJkzCnd9I4AyGTJkiK6ubn5+flpaGu0snwpNoMDevHnzxRdfTJ06taKiws3NLSsra8aMGZgTBaBLU1NzxIgRRKEmiNAEiurChQs8Hu/kyZOqqqrr16+/du2alZUV7VAAQIgCXmyMKVLFU1NTs2zZssDAQEJI9+7dw8LCHBwcaIcCgP8oLy83MTFpbGx88OBB9+7dacf5Z1gTKJj09HQHBwdxDXzzzTfiP9IOBQD/xcDAYMiQIURxNojQBApDIBD88ssvffv2ffjwoYWFRVxc3L/+9S9tbW3auQDgIxTrYmPsDimGJ0+eTJkyJSkpiRDy+eef7927t3Xr1rRDAcBfKigoaNu2LcMwr169kv/Hg2NNIO8YhgkKCrKzs0tKStLX1w8NDT1+/DhqAEDOWVhY9O3blxASGRlJO8s/QxPItZKSknHjxs2cObOqqmrgwIHZ2dl+fn6YEwVQCOIJIoXYIMLukPw6f/68v7+/+D5W69evX7x4sYqKCu1QAPCpcnJyrK2tVVVVi4uLW7VqRTvO38GaQB5VV1fPmTNn5MiRxcXFvXr1Sk1NXbp0KWoAQLF07dq1Z8+eAoEgJiaGdpZ/gCaQO8nJyXZ2dvv27SOEfP/992lpaba2trRDAUBziCeI5P8SM+wOyZHGxsZffvll/fr1QqGwXbt2hw8fFo8kA4CCSktLc3Jy0tHRKSkp0dLSoh3nL2FNIC8eP37cv3//devWCYXCr776Kjs7GzUAoOgcHBzatWtXXV196dIl2ln+DpqAPoZh9u7da29vn5KSYmhoePTo0aNHj8r5+SUA+BQcDkchJoiwO0RZYWHhzJkzz58/TwgZMmRISEhI+/btaYcCAIm5fPny0KFDjY2NCwoKVFVVacf5OKwJaDp79iyPxzt//ryGhsa2bdvi4+NRAwBKZsCAAa1atSotLRXfI0A+oQnoqKysnDFjxtixY0tLS21tbdPS0hYtWsTl4n8HgLJRU1MbNWoUke8JIvzTQ0FiYqKtre2hQ4c4HM7SpUuTk5N79+5NOxQASMv7UwVyuxuP8wQy1dDQsG7duo0bN4pEog4dOoSGhg4cOJB2KACQrpqaGmNj49ra2oyMDDs7O9pxPgJrAtl58OCBq6vrhg0bRCLRlClTsrKyUAMAbKCtre3p6UnkeIIITSALIpHoX//6V58+fe7cuWNkZHTixInDhw8bGBjQzgUAMiLnFxtjd0jq8vPz/f39L168SAj57LPPDh061KZNG9qhAECm3rx5Y2ZmJhQKnzx50rlzZ9pxPoQ1gXSdOHGCx+NdvHhRU1MzMDAwNjYWNQDAQq1btxbvBsvnBhGaQFrKy8v9/Py++OKLd+/eOTg4ZGRkzJ8/H48WAGAteb7YGLtDUnHt2rUpU6a8ePGCy+WuWLFizZo16urqtEMBAE0vXrzo0KEDh8MpLCw0NTWlHee/YE0gYfX19UuXLnV3d3/x4kXnzp1v3Lixfv161AAAWFpa9unTh2GYqKgo2lk+hCaQJD6f7+zsvHnzZoZhZs6cmZmZ6ebmRjsUAMgLuZ0gwu6QZIhEoh07dqxYsaKhocHY2PjgwYOjR4+mHQoA5Mvdu3d5PJ6GhkZJSYmenh7tOP+BNYEEvHz50sPDY/HixQ0NDd7e3nfv3kUNAMD/6tWrV5cuXerr6+Pi4mhn+S9ogpY6evQoj8e7cuWKtrb2vn37oqKizMzMaIcCAHkkt48rwO5Q8717927evHkRERGEEBcXlyNHjnTt2pV2KACQa0lJSf369TMwMCguLpafWRKsCZopISGBx+NFRESoqKisW7fu5s2bqAEA+Ed9+/Y1MzMrLy+/evUq7Sz/gSZostra2kWLFnl4eOTn53ft2jUpKWnNmjVy+ygiAJArXC5XfB5RriaI0ARNk5mZ6ejouGPHDkLI3LlzMzIynJ2daYcCAEUiniWNjIwUiUS0s/wbmuBTCYXC3377zdnZ+f79+2ZmZufPn9+9e7eOjg7tXACgYNzd3fX09AoKClJSUmhn+Tc0wSd59uyZu7v78uXLGxsbx4wZw+fzR4wYQTsUACgkDQ0Nb29vIk8TRGiCf8AwzOHDh21sbG7cuKGrq3vo0KHTp0+bmJjQzgUACkw8S3rmzBk5md7EFOnfKS0tnTNnzqlTpwgh/fr1Cw0NlcMbiwOAwqmoqDAxMWloaLh//36PHj1ox8Ga4K/FxcXxeLxTp06pqqpu2LDh2rVrqAEAkAh9ff2hQ4cSuZkgQhN8RE1Nzfz584cPH15YWNijR4/k5OQVK1aoqKjQzgUAykM8QSQnpwqwO/ShtLQ0X1/fR48eEUK+/fbbjRs3amlp0Q4FAMqmqKjIwsKCYZiXL1+2a9eObhisCf5DIBCsX7/e1dX10aNHbdq0uXDhwu+//44aAABpMDMzE9+1PjIyknYWNMH/e/LkycCBA1evXi0QCCZMmMDn8z09PWmHAgBl9n6CiHYQ7A4RwjDMwYMHFy1aVF1dra+vv2vXrsmTJ+OBwwAgbbm5uV27dlVRUSkpKWnVqhXFJGxfExQXF48ZM2bWrFnV1dWDBg3Kzs729fVFDQCADHTp0qV3795CoTA6OppuElY3QVRUFI/HO3funLq6+ubNmxMSEjp06EA7FACwiJxMELF0d6iqqur7778/cOAAIaR3797h4eE2Nja0QwEA69y5c8fBwUFbW7u0tJTifAob1wS3b9+2t7c/cOAAh8NZvHhxamoqagAAqLC3t7e0tKypqYmPj6cYg11N0NjYuGbNmn79+uXm5rZv3z4hIWHLli2ampq0cwEAS71/niXdCSIW7Q49evTIz88vNTWVEDJ58uTAwEBDQ0PaoQCA7a5everu7t66devCwkJaz7xixZqAYZg9e/bY29unpqYaGhpGRESEhYWhBgBAHvTv379169Zv3ry5efMmrQzK3wQFBQXe3t7z5s2rra0dOnQon8+fOHEi7VAAAP+mqqo6atQoQnWCSMmb4MyZMzweLzY2VkNDY8eOHRcvXqR+fw8AgA9Qf1yB0p4nqKio+O6774KDgwkhdnZ2YWFhvXr1oh0KAOAjamtrjY2Na2pq7ty5Y29vL/sAyrkmuHnzpq2tbXBwMIfDWb58eXJyMmoAAOSWlpbWZ599RuhNEClbEzQ0NKxYsWLgwIHPnj3r2LHjtWvXfv31V3V1ddq5AAD+Dt2LjZVqd+j+/fu+vr4ZGRmEkGnTpv3+++/6+vq0QwEA/LO3b9+ampoKhcLc3FwrKysZH11J1gQikWjnzp0ODg4ZGRmtW7c+efJkcHAwagAAFIWRkdHgwYMJpWWBMjRBfn6+l5fXwoUL6+rqvLy8+Hz++PHjaYcCAGgaihcbK/zu0B9//DF37tx3795paWlt2bJl7ty5uKc0ACiily9fWlpacjicgoICMzMzWR5agdcEZWVlvr6+X3755bt37xwdHTMyMubNm4caAAAF1b59e0dHR4Zhzp07J+NDK2oTXL161cbGJjw8nMvlrl69OikpqVu3brRDAQC0CK0JIsXbHaqvr//xxx+3bdvGMIyVldWRI0dcXV1phwIAkID79+/36tVLXV29pKREljMvCrYmyM7OdnJy2rp1K8MwX3/9dWZmJmoAAJRGjx49rK2tGxoa4uLiZHlchWkCkUi0ZcsWJycnPp9vYmISGRm5f/9+XV1d2rkAACSG1uMKFGN36MWLF1OnTr169SohZNSoUQcPHjQ1NaUdCgBA8m7fvu3q6qqnp1dSUqKhoSGbg8r7moBhGPFDhq9evaqjo7N///7IyEjUAAAoK2dnZwsLi8rKyitXrsjsoHLdBG/fvv3yyy99fX3Ly8v79u2bmZn59ddfY04UAJQYl8sdPXo0ke0Gkfw2QXx8PI/HO378uIqKSkBAwI0bN7p06UI7FACA1IlPFURGRopEItkcUR7PE9TW1i5fvnznzp2EEGtr67CwMCcnJ9qhAABkpKGhwcTEpKKiIjEx0c3NTQZHlLs1QUZGhqOjo7gG5s2bl5GRgRoAAFZRV1f39vYmMrzETI6aQCgU/vrrry4uLvfv3zc3N4+Jidm1a5e2tjbtXAAAsia+2Fhmz7OUl92hvLw8Pz+/xMREQsi4ceP27dtnbGxMOxQAAB2VlZUmJib19fV3796VwSMX6a8JGIYJDg62sbFJTEzU09MLDg4+efIkagAA2ExPT8/Dw4PIaoKIchOUlpaOHz/e39+/qqqqf//+WVlZ06ZNw5woAIB4gkg2pwpo7g7FxMT4+/sXFRWpqakFBAQsWbJERUWFVhgAALlSXFxsbm7OMMzz588tLS2leiw6a4Lq6up58+Z5e3sXFRX17NkzOTl5+fLlqAEAgPdMTU379etHCImMjJT2sSg0QWpqap8+ffbs2UMIWbhwYVpamr29vexjAADIufcTRNI+kEx3hwQCwYYNGwICAoRCYZs2bUJCQoYNGyazowMAKJanT59aWVmpqKgUFRW1bt1aegeS3ZogJyenf//+a9euFQqFEydO5PP5qAEAgL/RuXNnGxsboVAYHR0t1QPJogkYhtm/f7+dnV1ycrKBgUF4ePixY8eMjIxkcGgAAIUmmwkiqe8OFRUVzZw5U1xogwcPPnz4sLRPggMAKI3MzEx7e3stLa3S0lLp3XNBuk0wf/78/fv3CwQCDofTpk0bU1NTXCsAAPDpGIbJyMgghJw+fVp8AlkaVKX0uWIZGRkCgYAQwjBMfn5+fn6+VA8HAKCsysvLpffh0l0T3Lt3b9u2baNHj1ZTU5PeUQAAlJuurq6bm5v0LrqSlzvQAQAALc2fHQoJCeFwOGlpae9fKS8vd3Z21tTUjIuLk0Q2AAD4OPG/wO+Zmpq6u7vHxsY279Mkdp6goqLC09MzOzv7zJkzXl5ekvpYAAD4KwEBAZ06dWIYpqioKCQkZMSIEVFRUSNHjmzq50imCSorKz/77LPMzMzTp08PHz5cIp8JAAB/b/jw4Y6OjuL/njFjhpmZ2bFjx5rRBBK4sqyqqsrLy+vOnTunTp0SP3ENAABkzNDQUEtLS1W1Ob/ft7QJqqurhw8fnpqaeuLEiWYUEUALVVVVrV271svLy8jIiMPhhISEfPANDx488PLy0tXVNTIy8vPzKykpoRETQCrKy8tLS0tLSkru3bs3d+7cqqoqX1/fZnxOS3eHpk6d+vr16xMnTvj4+LTwowCaobS0NCAgwNLS0tbW9urVqx989dWrVwMHDjQwMNiwYUNVVdWWLVv4fH5KSoq6ujqNsAASJn6umZiGhsahQ4eadz+3ljZBUVGRpqZm+/btW/g5AM1jYWFRUFBgbm6elpbm5OT0wVc3bNhQXV2dnp4uvseJs7PzsGHDQkJCZs2aRSMsgITt2rXL2tqaEFJUVBQWFjZz5kw9Pb1x48Y19XNauju0b98+dXV1Ly+vR48etfCjAJpBQ0PD3Nz8r7566tSpkSNHvr/VlYeHh7W19fHjx2WVDkC6nJ2dPTw8PDw8Jk+efP78+Z49e37zzTcNDQ1N/ZyWNkHPnj1jYmJqa2uHDRv28uXLFn4agATl5+cXFxe/n6wQc3Z2Ft/FBUDJcLlcd3f3goKCnJycJr+35Yd3dnY+e/ZscXHxsGHDcDoO5EdBQQEhxMLC4s8vWlhYvH37tr6+nlIoACkS3+etqqqqqW+UzPMJhg4deuzYsdzcXC8vr4qKCol8JkAL1dbWEkI0NDT+/KKmpub7LwEok8bGxosXL6qrq/fo0aOp75XYNcZjx449cOCAv7+/j49PXFyc+OcNgCItLS1CyAe//tfV1b3/EoCii42NffjwISGkuLj46NGjOTk5y5cv19fXb+rnSPKu1NOnT3/79u0PP/wwYcKEM2fONO8CBwBJEe8LifeI3isoKDAyMvpgoQCgoNasWSP+D01Nze7du+/Zs2f27NnN+BzcixSUhHiKNDg4eNq0ae9fNDU1HTx48J+Hhbp169auXbuEhAQKEQHkleyeaA8ge+PHj4+Ojn4/1ZaQkPD48eMJEybQTQUgb7AmAIUXGBhYVlb2+vXrPXv2jBs3zt7enhCyYMECAwODly9f2tvbGxoaLly4sKqqavPmze3atUtNTcXuEMCfoQlA4XXs2PH58+cfvJiXl9exY0dCyL17977//vubN2+qq6t7e3tv3brVzMyMQkoAOYYmAABgO5wnAABgOzQBAADboQkAANgOTQAAwHZoAgAAtkMTAACwHZoAAIDt0AQAAGyHJgAAYDs0AQAA26EJAADYDk0AAMB2aAIAALZDEwAAsB2aAACA7dAEAABshyYAAGA7NAEAANuhCQAA2A5NAADAdmgCAAC2QxMAALAdmgAAgO3QBAAAbIcmAABgOzQBAADboQkAANgOTQAAwHZoAgAAtkMTAACwHZoAAIDt0AQAAGyHJgAAYDs0AQAA26EJAADYDk0AAMB2aAIAALZDEwAAsB2aAACA7dAEAABshyYAAGA7NAEAANuhCQAA2A5NAADAdmgCAAC2+z9iTkAmd3jHnQAAAABJRU5ErkJggg==", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.21), 'B': (1.0, 0.21), 'A': (0.82, 0.79)} radius = 0.0 connection_dict = {'K': ['B', 'A'], 'B': ['K', 'A'], 'A': ['K', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'W': (0.98, 0.5), 'V': (0.61, 1.0), 'T': (0.02, 0.81), 'R': (0.02, 0.19), 'Q': (0.61, 0.0), 'B': (0.02, 0.43), 'D': (0.32, 0.9), 'F': (0.32, 0.21)} radius = 0.0 connection_dict = {'W': ['V', 'Q'], 'V': ['W', 'T', 'D'], 'T': ['V', 'R', 'B', 'D'], 'R': ['T', 'Q', 'B'], 'Q': ['R', 'W', 'B', 'F'], 'B': ['Q', 'T', 'R', 'F'], 'D': ['V', 'T', 'B'], 'F': ['B', 'Q', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.0, 0.33), 'J': (0.71, 0.33), 'B': (1.0, 0.67), 'G': (0.29, 0.67)} radius = 0.0 connection_dict = {'C': ['J', 'G'], 'J': ['C', 'B'], 'B': ['J', 'G'], 'G': ['C', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'N': (0.85, 0.5), 'Y': (0.52, 0.95), 'L': (0.0, 0.78), 'M': (0.0, 0.22), 'V': (0.52, 0.05), 'Z': (0.69, 0.55), 'B': (1.0, 0.29), 'A': (0.36, 0.6)} radius = 0.0 connection_dict = {'N': ['Y', 'V', 'Z', 'L', 'B'], 'Y': ['N', 'L', 'B', 'A'], 'L': ['Y', 'M', 'Z', 'N', 'A', 'B'], 'M': ['L', 'V', 'B', 'Z'], 'V': ['M', 'N', 'Z'], 'Z': ['N', 'L', 'V', 'M'], 'B': ['M', 'Y', 'N', 'A', 'L'], 'A': ['B', 'L', 'Y']}
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", 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<image>
# 顶点坐标 coordinates = {'X': (1.0, 0.5), 'M': (0.5, 1.0), 'G': (0.0, 0.5), 'V': (0.5, 0.0), 'T': (0.5, 0.5), 'W': (0.34, 0.16)} radius = 0.0 connection_dict = {'X': ['M', 'V', 'T'], 'M': ['X', 'G', 'T', 'V'], 'G': ['M', 'V', 'W'], 'V': ['G', 'X', 'T', 'M', 'W'], 'T': ['M', 'V', 'X', 'W'], 'W': ['V', 'G', 'T']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.56, 0.4), 'I': (1.0, 0.4), 'B': (0.0, 0.6), 'D': (0.0, 0.4)} radius = 0.0 connection_dict = {'H': ['I', 'B', 'D'], 'I': ['H', 'B', 'D'], 'B': ['H', 'I', 'D'], 'D': ['H', 'I', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.5, 0.38), 'P': (1.0, 0.38), 'C': (0.07, 0.62), 'X': (0.93, 0.38), 'F': (0.0, 0.38)} radius = 0.5 # 连接关系 connection_dict = {'O': ['P', 'C', 'X'], 'P': ['O', 'X'], 'C': ['O', 'X'], 'X': ['P', 'O', 'C', 'F'], 'F': ['X']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.28, 0.42), 'K': (0.72, 0.42), 'C': (1.0, 0.58), 'B': (0.0, 0.58), 'I': (0.64, 0.5)} radius = 0.0 connection_dict = {'L': ['K', 'B', 'C', 'I'], 'K': ['L', 'C'], 'C': ['K', 'B', 'L', 'I'], 'B': ['L', 'C'], 'I': ['L', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (0.75, 0.47), 'A': (0.46, 0.86), 'J': (0.0, 0.71), 'K': (0.0, 0.23), 'H': (0.46, 0.07), 'O': (0.31, 0.13), 'L': (0.38, 0.49), 'X': (1.0, 0.93)} radius = 0.0 connection_dict = {'Q': ['A', 'H'], 'A': ['Q', 'J', 'O', 'L'], 'J': ['A', 'K', 'X'], 'K': ['J', 'H', 'O', 'X'], 'H': ['K', 'Q', 'O'], 'O': ['K', 'H', 'A', 'L'], 'L': ['A', 'O', 'K', 'X'], 'X': ['J', 'L', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.0, 0.2), 'J': (0.9, 0.2), 'L': (1.0, 0.8), 'D': (0.1, 0.8), 'E': (0.5, 0.5), 'C': (0.95, 0.48)} radius = 0.0 connection_dict = {'G': ['J', 'D', 'L', 'E'], 'J': ['G', 'L', 'C'], 'L': ['J', 'D', 'G', 'E', 'C'], 'D': ['G', 'L'], 'E': ['G', 'L', 'C'], 'C': ['J', 'L', 'E']}
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", 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<image>
# 顶点坐标 coordinates = {'V': (0.98, 0.5), 'R': (0.61, 1.0), 'W': (0.02, 0.81), 'G': (0.02, 0.19), 'D': (0.61, 0.0), 'Q': (0.02, 0.5), 'T': (0.79, 0.75)} radius = 0.0 connection_dict = {'V': ['R', 'D', 'Q', 'T'], 'R': ['V', 'W', 'T'], 'W': ['R', 'G', 'Q'], 'G': ['W', 'D', 'Q'], 'D': ['G', 'V'], 'Q': ['V', 'W', 'G'], 'T': ['R', 'V', 'Q']}
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", 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<image>
# 顶点坐标 coordinates = {'C': (0.29, 0.5), 'G': (0.5, 1.0), 'F': (0.71, 0.5), 'K': (0.5, 0.0), 'A': (0.6, 0.75), 'I': (0.45, 0.62), 'E': (0.55, 0.88)} radius = 0.0 connection_dict = {'C': ['G', 'K', 'A', 'I'], 'G': ['C', 'F', 'A', 'E'], 'F': ['G', 'K', 'A'], 'K': ['C', 'F'], 'A': ['G', 'F', 'C', 'I', 'E'], 'E': ['I', 'G', 'A'], 'I': ['C', 'A', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'B': (0.45, 0.23), 'K': (1.0, 0.23), 'G': (0.55, 0.77), 'A': (0.0, 0.77), 'F': (0.56, 0.47)} radius = 0.0 connection_dict = {'B': ['K', 'A', 'F'], 'K': ['B', 'G', 'F'], 'G': ['K', 'A'], 'A': ['B', 'G', 'F'], 'F': ['A', 'K', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.0, 0.5), 'L': (0.5, 0.85), 'K': (1.0, 0.5), 'B': (0.5, 0.15), 'I': (0.5, 0.5)} radius = 0.0 connection_dict = {'C': ['L', 'B', 'K', 'I'], 'L': ['C', 'K', 'B', 'I'], 'K': ['L', 'B', 'C', 'I'], 'B': ['C', 'K', 'L', 'I'], 'I': ['C', 'K', 'L', 'B']}
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LWAmQJCQkJOTn5wOAtbW1iYkJ6ThMp6Gh4e/vDwBbtmx5/fo16ThI9uHoEJIETU1NenGh+vp6JSUl0nGkgEAgGDJkSHJysoODw/79+0nHQTIOewIkdps2bfrw4QMAuLu7Yxn4QiwWix4aio6OfvToEek4SMZhT4DEi8/nKykpCQQCdXV1uh6gLzd//vwjR45YWVndu3cPZ5Qi8cGeAInXjBkzBAIBAMTFxZHOIn38/f1VVVUTExN/+eUX0lmQLMOeAIlReXl5u3btBAJB7969MzMzSceRSlu3bvX09OzQoUNubi4+lY3EBHsCJEbTp08XCARsNvvOnTuks0grV1dXY2PjkpKSoKAg0lmQzMJKgMTlzJkzd+/eBQAnJyddXV3ScaQVh8MJDg4GgICAgOLiYtJxkGzC0SEkLqqqqvX19RwOp6amRs53JWsloVA4atSo27dvz5o1C28YIHHA308kFk5OTvX19QDg5eWFZaCVKIoKDw+nKCouLo5usxASLewJkOjV19erqakJhUJtbW16yTnUekuXLt2zZ4+lpWVycrKCggLpOEim4MUaEr3Ro0fTVxjnz58nnUV2bN26VUtL68mTJwcPHiSdBcka7AmQiGVmZvbp0wcAzM3NMzIySMeRKWFhYS4uLgYGBvn5+VpaWqTjINmBlQCJmKGhYVlZGQBUVVXhp5VocblcCwuLvLw8Nzc3nFSKRAhHh5AoXbp0iS4D8+fPxzIgckpKSqGhoQAQERFBr+2KkEhgT4BEqW3btuXl5Xp6em/fviWdRWbZ2NhcunTpu+++w03NkKhgT4BEZuvWreXl5YB70YhZaGgom80+f/78lStXSGdBMgJ7AiQa79+/19XVFQgEAwYMwFWUxc3FxSUsLKxnz55paWmKioqk4yCphz0BEo3hw4fTa44ePXqUdBbZt3HjRn19/ZycnN27d5POgmQBVgIkAomJifSE0a+++srMzIx0HNmnra29detWANi0aRPekkGth6NDSAR0dXUrKyspiqqtreVwOKTjyAU+n9+/f//09PTly5fv2rWLdBwk3bAnQK0VEhJCLymxatUqLAMSo6CgQG9vGRUVhU/woVbCngC1Cp/PV1FR4fF4HA6nrq6OdBy5M2PGjJMnT44aNer69eu4vSVqMewJUKvY2dnxeDwAiImJIZ1FHgUFBSkrK9+8efPMmTOksyAphj0Barmqqip9fX0+n9+lS5eioiLSceTUhg0bfHx8unTpkp2draKiQjoOkkrYE6CWmzlzJp/PZ7FYDx48IJ1Ffnl4eBgZGT179iwsLIx0FiStsBKgFrpx48a1a9cAYOnSpQYGBqTjyC91dfWAgAAA8PHxKS0tJR0HSSUcHUItpKGhUVNTo6KiUltbi7uSkSUQCIYNG/bgwYOFCxfi7gWoBfAXGLXE+vXra2pqAMDd3R3LAHEsFoueURoTE/Pw4UPScZD0wZ4ANRuXy+VwOAKBQENDo7q6mnQc9IeFCxceOnToq6++SkxMxPKMmgXfLqjZvv32W3qJofj4eNJZ0F/8/PzU1NSSkpJiY2NJZ0FSBnsC1DyFhYXdunUDAFNTU9wshWn8/PzWrVtnZGSUl5enrq5OOg6SGtgToOaxtramv7hz5w7RIOgTnJ2du3TpUlpaSs8mQugLYSVAzXD79u2SkhIAsLW1NTQ0JB0HfUxFRSUkJAQAgoKCnj9/TjoOkho4OoSaoUOHDi9fvtTQ0KisrFRQUCAdB32CUCgcM2bMzZs3p0+ffuLECdJxkHTAngB9qbCwsJcvXwJAdHQ0lgHGoigqPDycxWKdPHny9u3bpOMg6YA9Afoi9fX1GhoafD7f3Nwc10BmvhUrVuzevbtv376PHz/Gso0+C3sC9EVGjhzJ5/MB4JdffiGdBX2et7e3trZ2Wlra/v37SWdBUgArAfq8tLS05ORkAOjbt2/v3r1Jx0Gfp6+vv3nzZgBYv359VVUV6TiI6XB0CH2egYHBmzdvAKCqqkpLS4t0HPRFmpqa+vbtm5OT4+zsHBoaSjoOYjTsCdBnREZG0mXA3t4ey4AUUVRUpNep3r59e25uLuk4iNGwJ0CfoaSk1NTUpKSk1NjYSDoLarZJkyadP3/exsbmwoULpLMg5sKeAP2XefPmNTU1AUBUVBTpLKglQkJCFBUVL168ePHiRdJZEHNhT4D+VU1NjY6ODo/HMzIyop8kQNJozZo1wcHBZmZm6enpSkpKpOMgJsKeAP2ruXPn8ng8iqKSkpJIZ0Ett2HDhjZt2uTl5e3cuZN0FsRQWAnQpz169OjcuXMAsGDBgg4dOpCOg1pOS0vL19cXADZv3kzf/EfoIzg6hD5NR0enqqpKWVm5uroahxSkHZ/PHzRo0JMnT5YuXRoZGUk6DmIc7AnQJwQEBNCPI61YsQLLgAxQUFCgt7fcs2dPamoq6TiIcbAnQB/j8/nKysp8Pl9VVbW2tpZ0HCQys2fPjouLGzly5M2bNymKIh0HMQj2BOhjU6ZMoZcYOnLkCOksSJQCAwNVVFRu376N246ij2BPgP7Hy5cv6fvDxsbGuNWJ7Nm0aZO3t7exsXFOTg6HwyEdBzEF9gTofwwfPpz+AjenlEnu7u4dOnT4/fffcSUi9HdYCdBfHj58+OzZMwAYP358p06dSMdBoqemphYYGAgAvr6++LQg+hOODqG/dOnS5fnz5xwO58OHD7i9iawSCoXDhw//7bff5s2bd/jwYdJxECNgT4D+EBUVRd8Y2LNnD5YBGUZvbwkAR44cuX//Puk4iBGwJ0AAAFwuV11dvampqXv37nl5eaTjILFzcHCIjo4eNGjQgwcPWCy8IpR3+A5AAADffPMNveZoXFwc6SxIEnx9fdXV1ZOTk3GuMAKsBAgA8vPz6ZlCPXr06NevH+k4SBIMDQ09PT0BwMPD48OHD6TjIMKwEkiZlJSUyZMn6+rqqqqqmpubb9u2rfXHHDVqFP0FzhyVK46OjiYmJq9evfLz8xPJAcXx5kSSwSYdADXD1atXJ02aZGlp6enpqa6uXlhYWFJS0spjHjlypLS0FABmzJjRpk0bUcRE0kFZWTkkJGTq1KkhISGLFy/u2rVra44mjjcnkhi8Yyw1qquru3fvbmVldfLkSRHe4lNRUWlsbFRUVKyvr8cpQ/JGKBSOGzcuISHh+++/P3XqVIuPI6Y3J5IY/DeTGrGxsWVlZT4+PiwWq7a2ViAQtP6YS5YsoXcnDg0NxTIghyiKCgsLU1BQOH369I0bN1p8HHG8OZEkYSWQGgkJCZqami9fvjQzM1NXV9fU1Fy+fHlDQ0OLD9jQ0BATEwMAenp6q1atEl1SJE3Mzc2XL18OAE5OTjwer2UHEfmbE0kYVgKpUVBQwOPxpkyZMn78+Pj4+KFDh0ZGRk6ZMuWjb7O2tjY3N/+SA9rb23O5XIqiEhMTxZAXSY3Nmzfr6upmZGTs3bu3ZUf46M3p4OAQGRm5aNEi0eZEYiREUoK+obds2TL6j9HR0fS/YH5+/t+/beTIkb179/7s0fLz8+kV6mfOnCmWuEiqbN++HQD09PTevXvXgh//6M0pFAqXLl36zzcnYizsCaQGvYawnZ3dR6+3bMGAoUOHCoVCJSUleoAIyblly5b17t373bt3mzdvbsGP//PNOWfOHGjpmxNJHlYCqWFkZAQAbdu2/ej1ysrK5h5qx44d7969A4CFCxeqqKiIJB6Samw2m16MaOfOndnZ2c398X++OQ0MDKBFb05EBFYCqTFgwAAA+OdKwioqKm//hl404j/w+XxnZ2cAUFZW3rNnj5jSIqkzduxYers6Z2dnYTMnl//zzUk/pIJPqEgLrARSY+bMmQCwf//+j15ftmxZm7/57O3fOXPm0FNE9u3bJ6aoSEoFBwcrKSldvXr1woULzfrBf7459+3bx2azra2tRZsQiQk+WSZNfvjhhwMHDsycOXPkyJEHDx5MTk4eN27cmjVr/v49rq6ufD4/MzPzk0d48+YN3bYbGRnhRiXon37++efAwMBu3bplZWUpKSl9+Q/+/c1569atEydOrF271tfXV3xRkSgRvmONmoPL5Xp5eRkbGysqKtIf6MnJyR99z3/PHerSpQ/9756XlyfmsEgqvX//nh7uDwoKatYP/v3N2a1bt7CwMPEERGKBPYG0Onjw4KJFi5KTkwcOHPj3162trd++ffvJnuD69fSxYy0BBP36ffPkyVVJJUVSJjo62sHBQVNTMz8//58zFJBMwvsEcmThwiUAAoCOqakX7e3h1SvSgRAjLVy4cMCAAdXV1Rs2bCCdBUkIVgJ5ceTIkZcvkwBg6NDdAOyYGOjeHfz8AFcEQB9hsVj0gtL79+9PSUkhHQdJAlYCucDn85csWQIAnTt3TkycmJQEX30FNTWwbh306gWnTwOOEaK/s7KysrOzEwqFjo6OOIAsD7ASyIWJEyfW19fD/29OOXgwJCbC4cNgZATPnoGtLVhZQXw86ZSISQICAjgczr17944fP046CxI7vGMs+4qLi42NjQGgS5cuRUVFf/+rmhoICICgIGhsBACYPx8OHSKSETGRt7f3pk2bOnXqlJOTo6qqSjoOEiPsCWTfyJEj6S/u3r370V+pq8OWLbBjxx9/XLhQkrkQ07m5uXXq1Km4uDg4OJh0FiReWAlk3OnTp58/fw4AEydObN++/T+/gcuFwEAAgKVLYcwYyYZDzKaqqhoUFAQA/v7+L168IB0HiRGODsk4NpvN5/NZLBaXy/3krmQhIeDmBm3bQn4+aGpKPiBiNKFQOHLkyLt379rZ2cXGxpKOg8QFewJZtnDhQj6fDwDa2tq//vrrP6t+WRl4ewMA+PlhGUCfQFFUeHg4RVHHjh377bffSMdB4oKVQGYJBIIHDx4AAEVRFRUV33///dixYzMyMv7+PRs2QHU1DBiAdwjQv+rfv/8PP/wAAI6OjrhBsazCSiCzDh48mJ+fr6GhkZ6evn79emVl5Rs3bvTr12/lypX05gQpKUCvHbltG7DwjYD+3datWzU1NR8/foz7GsksckseITF6//49vURdSEgI/UpRUdG0adPof3QdHZ2IiG1WVlwA4Zw5ZJMi6UBPH2rbtu379+9JZ0Gih3eMZZOVldX9+/f/ubbwrVu3HB0d09PTAQCgl7Jy2NOn4zp0IBUTSQ0ul2tubl5QUODu7h4QEEA6DhIxHBSQQdeuXaP3j50/f/5HS8xbW1unpKTs3h2poKAHkN3YOH7FiskFBQWEkiKpoaSkFBoaCgBhYWFPnz4lHQeJGPYEMsjQ0LCsrExfX7+8vJyiqE9+z7NnlXZ23o8f7+DxeIqKik5OThs2bNDE+UPo3wmFwgkTJly5cmXKlClnzpwhHQeJEvYEssbPz6+srAwAoqOj/60MAECXLjoPHoRlZGR8++23TU1NQUFBpqam+/fvp2edIvRPFEWFhYUpKCicPXv22rVrpOMgUcKeQKbU1dXp6uo2NjZaWlp++XrCFy9edHZ2zs/PB4D+/ftHRER8/fXX4oyJpJiTk1NERESvXr3S0tLYbDbpOEg0sCeQKQsWLGhsbKQoKr45K4va2NhkZGSEhIRoamqmpKQMHz7czs6uuLhYfDmR9Nq0aZOenl52dnZkZCTpLEhksCeQHaWlpR06dBAKhXPmzDl69GgLjlBeXu7p6bl3716hUMjhcNzd3d3d3XERSvSR3bt3r1ixQkdHp6CgQE9Pj3QcJAoEZ7Ai0VqxYgUA6OvrNzY2tuY4KSkpI0aMoN8eHTt2PHbsmEAgEFVIJAOampr69OkDAKtWrSKdBYkG9gQyIiMjo1+/fgKB4MaNG6NGjWrl0YRC4cmTJ93c3OgxomHDhkVERAwYMEAUSZEsuHHjxpgxYxQUFFJTU83NzUnHQa2F9wlkgUAgWLx4sUAgmDZtWuvLAABQFDVjxozc3NwtW7aoqqr+9ttvgwYN+uGHH16/ft36gyMZMHr0aFtbWz6f7+TkhFeTsoBwT4JEwcPDAwBYLFZhYaHID/7ixYu5c+fS7xYNDY3AwMCGhgaRnwVJncLCQvq5xTNnzpDOgloLR4ek3vv37/X19Xk8npWVlfjWDU5MTHR0dHz06BEAdOvWLTQ09LvvvvuP5xWQPFi3bp2fn5+JiUlWVpaysjLpOKjlcHRI6s2ePZvH47FYrGbNHG0uKyurpKSkgwcPGhoaPn36dPLkyePHj8/KyhLfGRHzrV27tl27doWFhREREaSzoFbBSiDdUlNTL1++DAA//vijoaGhWM/FYrEWLlyYn5/v4eGhpKR07dq1vn37rl69uqKiQqznRYyloaHh7+8PAFu2bMF7SFINR4ekm6mp6dOnT9XU1KqqqiT5wGdhYaGbmxu9+Iyuru6WLVuWLFmCT5zKIYFAMHTo0IcPHy5atOjAgQOk46AWwp5AisXExNCrQkZEREj4U9jExOT06dMJCQnm5uYVFRUrV660tLS8fv26JDMgJmCxWPTQUHR0dHJyMuk4qIWwJ5BWQqGwZ8+eeXl5Xbt2LSwsJBWDx+Pt2bPH09OTHiOaOnVqcHCwiYkJqTyIiPnz5x85csTKyurevXs4j0AaYU8grWJjY/Py8lRVVc+ePUswBpvNXrFiRUFBwU8//aSgoHDmzJlevXp5eHh8+PCBYCokYf7+/qqqqomJib/88gvpLKhFyE5iRS1TU1PTvn17APDx8SGd5S+ZmZnffPMN/b4yNDSMjo7m8/mkQyEJ2bp1KwB06NChpqaGdBbUbDg6JJXGjx9/9epVY2Pj3NxcFRUV0nH+IhQKz58/7+LiQt/AGDhw4LZt24YOHUo6FxK7+vr6Xr16PX/+fOPGjZs3byYdBzUPjg5Jn3v37l29ehUAFi5cyKgyAAAURU2aNCkzMzMwMFBDQ+PRo0dWVlbz5s0rKSkhHQ2JF4fDCQoKAoDAwMDff/+ddBzUPNgTSJ+OHTuWlJRoa2u/e/eOxWJuLS8rK1u/fv2BAweEQqGqqqqHh4ebmxuHwyGdC4mLUCgcNWrU7du3Z86cGRcXRzoOagbmfo6gT4qIiKCvr/fu3cvkMgAAbdu23bdvX3Jy8rBhw+rq6jZu3NizZ88TJ07gxYesoigqPDycxWIdP3787t27pOOgZsCeQJpwuVwtLa2GhoZevXpJ0UoPQqEwLi5uzZo1dA0bPnx4RESEpaUl6VxILJYtWxYVFWVpaZmcnKygoEA6DvoijL6oRB9ZvHhxQ0MDRVEnT54knaUZKIqaPXt2Xl6el5cXh8O5e/fugAEDlixZUl5eTjoaEr0tW7ZoaWk9efIkOjqadBb0pbAnkBqvXr1q3769UCicOnXq6dOnScdpoeLi4p9//pmeda6pqblp06ZVq1bRixsjmREWFubi4tKmTZuCggItLS3ScdDnYU8gNYKDg4VCoYaGRsv2KGaITp06HTt27O7du/3796+urnZ1de3Tp8/FixdJ50KitHLlSjMzszdv3mzZsoV0FvRFsCeQDnl5eebm5jwe79KlS99++y3pOCLA5/NjYmLWrl1LjxF9++23oaGhPXv2JJ0LicalS5dsbGwUFRUzMzO7d+9OOg76DOwJpMPKlSt5PN7EiRNlowwAgIKCgoODQ0FBwZo1axQVFS9fvmxhYeHs7FxZWUk6GhKBCRMm2NjYNDU1ubq6ks6CvgCZR5tRc9BPbLJYrLy8PNJZxCI/P3/SpEn0G1JfXz8yMpLH45EOhVorNzeXXiL30qVLpLOgz8DRIaarq6vT0dHhcrkDBgygN4+UVVevXnV2ds7OzgYACwuL8PDwUaNGkQ6FWsXFxSUsLKxHjx7p6emKioqk46B/haNDTDd37lwul0tR1KlTp0hnEa9x48alpqZu27ZNW1s7PT199OjR06dPf/bsGelcqOU2btyor6+fm5u7a9cu0lnQfyLdlKD/Ql8gA8D8+fNJZ5GcN2/erFixgn6CWllZed26dR8+fCAdCrVQVFQUAGhra79584Z0FvSvcHSI0Xr16pWTk8PhcKqqquRt0n1GRoaTk9ONGzcAoF27dgEBAXPnzmX4Ahvon/h8/oABA9LS0pYvX46dAWPh7xVzHT9+PCcnBwACAgLkrQwAQJ8+fRISEk6fPt21a9dXr14tWLDAysoqKSmJdC7UPAoKCvT2llFRUenp6aTjoE/DnoChhP+/OWXHjh2Li4tJxyGpoaEhPDzcx8enpqYGAObPn+/v729kZEQ6F2qGGTNmnDx5ctSoUdevX8ftLRkIewKGOnXqVF5enpKS0vHjx0lnIUxFRcXDwyM/P9/e3h4ADh8+3L17d19f34aGBtLR0JcKCgpSVla+efOm9C6UIuMI36dAn1JXV9e5c2cA8PT0JJ2FWR4+fDhkyBD6rdu5c+eTJ08KBALSodAX2bBhAwB06dKlvr6edBb0MawETDR9+nQAaN++PW4J+08CgeDIkSP0Ns4AYG1tnZaWRjoU+rw/N9/29fUlnQV9DEeHGOfRo0f0otOLFy9WU1MjHYdxKIqaO3duXl6ep6eniorKrVu3LC0tly9f/vbtW9LR0H9RU1MLCAgAAB8fn9LSUtJx0P/AO8aMY2JiUlRUpKGhUVVVhZMm/9vz58/d3d1PnDgBANra2l5eXitWrMBnWRlLKBRaWVk9ePBgwYIFMTExpOOgv+AHDbPs27evqKgIALZv345l4LM6d+58/Pjx27dv9+vXr6qqysnJycLC4vLly6RzoU+jKIqeUXro0CGcEMwo2BMwCI/H09bWrq2t7datW0FBAek40oTP5x84cGDdunX0GNHEiRNDQ0NxMWRmsre3j4mJ+eqrrxITE/FyhyHwn4FBVq5cWVtbCwD0cAf6cgoKCj/++GNBQYGLiwubzb5w4ULv3r3d3Nzev39POhr6mJ+fn7q6elJSUmxsLOks6A/YEzDF69ev27dvLxAIvv3220uXLpGOI8Xy8vJcXV0vXLgAAG3atPHx8XFwcMCt1RnF399/7dq1RkZGeXl56urqpOMg7AkYIyIiQiAQqKioxMXFkc4i3czMzM6fP3/x4kV6A8UlS5YMHDjwzp07pHOhvzg5OXXp0qW0tNTf3590FgSAPQFDFBUV9erVq7Gx8fTp01OnTiUdR0Y0NTXt3LnTy8uLHiOaOXNmYGCgsbEx6VwIAOD06dO2trbKyso5OTldunQhHUfeYU/ACK6uro2NjWPGjJkyZQrpLLJDUVHRycmpoKBg6dKlLBbr+PHjPXr02LhxI30zBpE1derU0aNHNzY2uru7k86CsCdggNDQUFdXV4qi0tPTzc3NSceRTWlpaU5OTrdu3QKA9u3bBwYG2tnZ4VJoZGVkZPTr108gENy8edPa2pp0HLmGlYCwhoYGHR2dhoaGPn364Jq9YiUUCk+dOuXm5vb8+XMAsLKyioiIGDhwIOlccm3lypW7du2ysLBISUnBu/oE4egQYQ4ODg0NDRRFxcfHk84i4yiKmjZtWnZ29tatW9XU1BITEwcNGrRo0aJXr16Rjia/Nm/eTG9Wum/fPtJZ5Bu5JY+QsKioiB6gmD59Ouks8qWkpGT+/Pn0r4C6urq/v39DQwPpUHKKfupYX1+/srKSdBb5haNDJFlaWqampiorK1dWVnI4HNJx5M6DBw8cHR0fPnwIACYmJsHBwVOmTMGbBxLW1NTUt2/fnJwcZ2fn0NBQ0nHkFI4OEXP+/PnU1FQA8PLywjJAxJAhQ+7fvx8TE9OuXbvCwsLvv//+m2++yczMJJ1LvigqKoaFhQHA9u3bc3NzSceRU9gTkCEUCs3MzAoKCgwNDXGcmriamho/P7+QkJDGxkYWi7V8+fLNmzfr6emRziVHJk+e/Ouvv06YMOHixYuks8gj7AnIuHjxYkFBgYKCwpEjR0hnQaCuru7j45OdnW1raysQCHbu3Glqarp9+/ampibS0eRFSEiIoqLipUuXsBIQgZWAAC6X6+zsDACurq5jxowhHQf9oWvXrvHx8Tdu3OjTp09lZeXq1av79et37do10rnkgqmpqaOjIwA4OztzuVzSceQP4TvWcmnx4sUA0LZt2/fv35POgj6hqalp9+7df44OTZ48uaCggHQo2VdVVWVgYAAAoaGhpLPIHewJJC0rK4ueOr18+XJNTU3ScdAnsNnsZcuWFRQUODk5sdnsc+fO9erV6+eff66uriYdTZZpaWn5+voCwObNm8vLy0nHkS94x1jSevbsmZubq6qq+v79ezabTToO+gx6duOVK1cAoG3btr6+vvb29ri/ipjw+fzBgwenpKQsWbIkKiqKdBw5gm9oiTp27Bg9Ty44OBjLgFTo2bPnpUuXzp8/b2pqWlZW9sMPPwwePPi3334jnUs2KSgohIeHA8DevXvpOdZIMrAnkByBQKCjo1NdXW1sbEwvfYOkCJfL3b59u7e3Nz1GZGdnFxAQ0LFjR9K5ZNDs2bPj4uJGjBhx69YtfNBPMrAnkBxXV1f6QwT3opFGSkpKrq6uBQUFP/74I0VRx44dMzMz27x5c11dHelosiYwMFBFReXOnTu4GJfEYE8gIRUVFQYGBnw+39ra+ubNm6TjoFZ58uSJo6Pj3bt3AaBjx45BQUEzZ87Eq1cR8vLy2rx5s7GxcU5ODj6BLwHYE0hIWFgYn89ns9m4W70MsLS0vH37dlxcXKdOnV68eDF79uwRI0Y8fvyYdC7Z4e7u3qFDh99//z0kJIR0FrmAPYEkvHjxwszMrL6+/vDhw/PmzSMdB4lMfX19cHCwn59ffX09RVEODg4+Pj5t27YlnUsWHDt2bM6cOaqqqnl5eR06dCAdR9aRfZxBTtjZ2QHA119/LRAISGdBoldcXDxnzhz6F0pDQyMoKKixsZF0KKknEAiGDRsGAHPnziWdRfZhTyB2kZGRy5cvB4DHjx/379+fdBwkLomJiY6Ojo8ePQIAU1PTkJCQ7777Dm8etMbjx48HDRokFAoTExOHDh1KOo4sw0ogXjweT0tLq66urnv37nl5eaTjIPESCASHDh3y8PAoKysDgHHjxoWFhfXq1Yt0Lin2ww8/HDhwYNCgQQ8ePMAH+sQH/8+K17Jly+hZhjgfTh6wWCx7e/v8/Pyff/5ZSUnp6tWrFhYWjo6OFRUVpKNJKx8fHw0NjeTk5MOHD5POIsuwJxCjkpISY2NjgUAwceLE8+fPk46DJOrp06dubm5nz54FAF1d3S1btixZsgQfLG+BwMDAn3/+2dDQMD8/X0NDg3Qc2YSVQIyGDBmSlJSkqKj47t07fAfLp4SEBCcnp6ysLAAwNzePiIgYPXo06VBSprGxsXfv3oWFhR4eHn5+fqTjyCYcHRKX69evJyUlAcDPP/+MZUBujR07NjU1dceOHbq6upmZmWPGjLG1tS0qKiKdS5ooKyvT+xuHhobi/zoxwZ5AXLp161ZYWKinp1deXo53ulBFRYWXl9euXbv4fL6SkpKLi8u6devwEuELCYXC8ePHX7t27fvvvz916hTpODIIP6HEIiEhobCwkKKoAwcOYBlAAKCrq7tt27a0tLSxY8dyuVx/f//u3bvHxMQIBALS0aQARVFhYWEKCgqnT5++fv066TgyCD+kRI/H4zk5OQHATz/9NHnyZNJxEIP07t376tWrZ8+eNTExef36tb29/ZAhQ+7fv086lxTo3bs3/VyOk5MTj8cjHUfmEHyqTVatWbMGAPT09CoqKkhnQQzV0NAQGBj45+jQvHnzSkpKSIdiunfv3unq6gLAzp07SWeRNVgJRCw/P59+rNTLy4t0FsR0r169cnBwoN8wqqqqW7ZsqaurIx2K0Xbs2EFfZr179450FpmCd4xFzMLCIiMjQ1lZuaqqSkVFhXQcJAUePXrk6OiYmJgIAMbGxsHBwdOmTcNlKj6Jx+P169cvKytr9erVERERpOPIDrxPIEpnz57NyMgAgC1btmAZQF9o4MCB9+7di42NpddhnjFjhrW1Ne7d+ElsNpsuADt37szOziYdR3ZgTyAyAoGgTZs2FRUV7dq1Ky0tJR0HSZ/a2tqgoKCAgICGhgaKon788cetW7e2adOGdC7GmTp16tmzZ7/55psrV65g8yQS2BOIjKenJ728TGxsLOksSCqpqal5eXnl5eXNmjVLKBTu2bPH1NQ0LCyMy+WSjsYswcHBSkpK165dw0VcRAV7AtGorq7W19dvamrCSYFIJO7evevo6PjkyRMA6N69e1hYmI2NDelQDOLh4REQENCtW7esrCwlJSXScaQe9gSiERwc3NTUxGKxcM1RJBLDhw9PTk7et2+fgYFBfn7+xIkTbWxscnNzSediivXr1xsaGj59+nTbtm2ks8gEslOXZMOrV6/oieHbtm0jnQXJmqqqKjc3N0VFRQBgs9lOTk6VlZWkQzFCdHQ0AGhoaLx+/Zp0FqmHlUAEHBwcAGDQoEF8Pp90FiSb8vPzJ02aRF+96evrR0ZG8ng80qEI4/P5AwcOBIAffviBdBaph/cJWuvw4cMLFiwAANxgD4nblStXnJ2dc3JyAKBv377h4eHW1takQ5GUmJg4bNgwiqIePXqEW8O2BlaCVhEIBNra2h8+fDAxMXn69CnpOEj2NTU17d69e9OmTVVVVQAwffr0oKCgzp07E45Fzty5c2NjY7/++us7d+7gjNIWwzvGreLo6PjhwwcAOHbsGOksSC4oKiquXr26oKBgxYoVLBbr5MmTPXr02LBhQ01NDeloZAQEBKiqqt67d+/48eOks0gx7Ala7u3bt4aGhnw+f8yYMQkJCaTjILmTkZHh6Oh48+ZNADAyMgoICJgzZ44croK+ZcuWjRs3duzYMTc3V1VVlXQcqSR3bxoRmj59Op/PV1BQwIsRRESfPn2uX79+6tSpLl26lJaWzp8/f9iwYQ8fPiSdS9Lc3Nw6der04sWLoKAg0lmkFVaCFrp///7t27cBwNHRkV4pFyHJoyjq+++/z87O9vPzU1NTe/DgwVdffbVw4UK5Wu+Ew+HQNSAgIODFixek40glHB1qIRMTk6KiIi0trYqKCjnsxxEDlZaWrlu3LiYmBgDU1NTWr1/v7OwsJyshCoXCkSNH3r17187ODpd7aQH8CGuJu3fv0jtrR0VFYRlADGFkZHTw4MGkpKQhQ4bU1tauW7euV69ep0+floerPYqiIiIiKIo6duzYvXv3SMeRPvgp1mx8Pt/R0REAlixZMmvWLNJxEPofgwcP/u23344cOWJkZPTs2TNbW9sxY8akp6eTziV2lpaWixcvBgBHR0fcHbrZCD7VJqUCAgIAQEtLq7y8nHQWhP7Vhw8fNmzYoKysDAAsFmv58uVv3rwhHUq8ysrKNDU1AWD//v2ks0gZrATNU1xcjJtTIiny7Nmz6dOn05d92traERERXC6XdCgxCg4OBgADA4P379+TziJN8I5x8wwePDg5OVlRUbGiokJdXZ10HIS+yO3btx0dHdPS0gCgZ8+eYWFh48ePJx1KLLhcrrm5eUFBgbu7O92+oy+B9wma4dq1a8nJyQCwfv16LANIiowcOfLx48dRUVH6+vo5OTnffvvtpEmT8vPzSecSPSUlpbCwMAAICwsrKCggHUdqYE/QDIaGhmVlZW3atCkvLyedBaGWqKqq8vb23r59O4/Hoxeu8PT01NLSIp1LlIRCoY2NzeXLlydPnnz27FnScaQD9gRfysfHp6ysDAAOHjxIOgtCLaStrR0aGpqRkWFjY9PU1BQSEmJqarpv3z4+n086mshQFBUaGqqgoHDu3LmrV6+SjiMdsCf4InV1dTo6Olwu19LSMiUlhXQchETg4sWLLi4ueXl5AGBpaRkRETF8+HDSoUTGyckpIiKiV69eaWlpbDabdBymw57giwQGBnK5XIqiTp06RToLQqJhY2OTnp4eGhqqpaX15MmTESNGzJ49u7i4mHQu0di0aZOenl52dnZkZCTpLNKA7NQlqfDmzRttbW0A2LhxI+ksCIleeXn50qVL6enRKioqGzdurKmpIR1KBHbv3g0AOjo6b9++JZ2F6bASfN6KFSsAwMLCAvcLRDLsyZMnI0eOpC8QO3ToEBsbKxAISIdqFR6PZ2FhAQArV64knYXp8D7BZ8THx8+YMUMoFN68eVPOdwpEMk8oFMbHx7u5uf3+++8AYGVlFRERQe8VLKVu3rw5evRoFouVmprap08f0nGYCyvBfxEIBHp6elVVVbg5JZIf9fX1oaGhvr6+dXV1FEXZ29v7+voaGhqSztVC06ZNO3Xq1JgxY65du4bbW/4bvGP8X9auXUvvFoszR5H84HA469evz8/PnzdvnlAojI6O7t69e2BgYGNjI+loLREUFKSsrHz9+vVz586RzsJc2BP8q6qqqjZt2vB4vGHDhuE6t0g+PXjwwNHRkd4HzcTEJCQkZPLkyVJ3Zb1+/XpfX9+uXbtmZ2fTS/Khj2BP8K9mz57N4/HoTcNJZ0GIjCFDhty/fz8mJsbQ0LCwsHDq1Knjxo3LzMwknat51q5d265du6KiovDwcNJZGAorwac9efLkypUrAPDjjz9K7wgpQq3HYrEWLFiQn5+/du1aJSWlhISEfv36/fTTTxUVFaSjfSl1dXV/f38A2Lp166tXr0jHYSIcHfo0U1PTp0+fqqurV1ZW4gOKCNGKiorWrFlDP1+pq6vr7e29dOlSqfgFEQgEQ4cOffjwob29fXR0NOk4jIM9wSc8fPiQnikUEREhFe9yhCSja9eu8fHx169f79OnT0VFxapVq/r165eQkEA61+exWKyIiAgAOHjwIL2iMPo7rAQfEwqF9OaUCxYscHBwIB0HIcYZPXp0SkrKrl279PT0srKyvvnmm6lTpzJ/mvWQIUPmz58PAI6OjjgW8jFSj7Qx1r59+wBATU3t5cuXpLMgxGjv3r1bvXq1goICACgpKbm7uzN8p7CSkhI1NTUAOHr0KOkszII9wf94/fr10qVLAcDFxcXIyIh0HIQYTVdXNyIiIj09fdy4cVwuNzAwsHv37tHR0YzdUL59+/Zr164FAHd399raWtJxGATvGP+P4cOH37t3j81m/7nqHELos4RC4YULF5ydnekxogEDBmzbts3Kyop0rk+or6/v1avX8+fPPT09vb29ScdhCuwJ/nLv3j36CTIXFxcsAwh9OYqivvvuu6ysrKCgIE1NzcePHw8bNmzOnDkvXrwgHe1jHA6H3vU+KCiIXl4JAfYEf9exY8eSkhJtbe13796xWFgjEWqJsrKyDRs27N+/XygUcjgcDw8PNzc3VVVV0rn+IhQKR48efevWrZkzZ8bFxZGOwwj4efeHiIiIkpISANi7dy+WAYRarG3btnv37n306NHXX39dX1+/adOmnj17xsXFMeeik6Ko8PBwFot1/PjxO3fukI7DCNgTAABwuVwtLa2GhobevXtL3ZP0CDGTUCg8fvz4mjVr6DGir7/+OiIion///qRz/WHZsmVRUVH9+vV79OgRPf1JnuHFLwCAn59fQ0MDRVHx8fGksyAkIyiKmjVrVm5u7ubNmzkczr179wYOHPjjjz+Wl5eTjgYAsGXLFi0trdTU1AMHDpDOwgDkJrAyRWVlpb6+PgD89NNPpLMgJJuKi4vt7OzozxxNTc3g4ODGxkbSoYRhYWEA0KZNm6qqKtJZCMNKIHR2dgaAnj17crlc0lkQkmX37t0bMGAAXQ9MTU1//fVXshtkcrncHj16AICrqyvBGEwg7/cJLl++PHHiRIFAcPny5fHjx5OOg5CMEwgEMTExa9euLSsrA4Dx48eHhYX17NmTVJ7Lly9PmDCBzWZnZmaamZmRikGcvFcCAwODN2/edOvWraCggHQWhORFdXW1j49PWFhYU1OTgoLCqlWrNm3apKOjQyTMxIkTL168OHHixPPnzxMJwARyfcfY29v7zZs3ALBjxw7SWRCSI5qamgEBAdnZ2VOmTOHz+REREaamprt37+bxeJIPExoaymazL1y4cPnyZcmfnSHktyeora3V1dXlcrkDBw7EVWoRIuXatWtOTk7Z2dkA0KdPn/Dw8NGjR0s4g6ura2hoaI8ePdLT0xUVFSV8diaQ355g7ty5XC4XZ44iRNY333yTlpa2fft2HR2djIyMMWPGTJs2raioSJIZPD0927Rpk5ubu2vXLkmel0EI37EmhL4AAYAFCxaQzoIQEgqFwrdv365atYp+yEtZWXnt2rXV1dUSO/uePXsAQEtLq7y8XGInZQ45HR3q1atXTk4Oh8OpqqpSUlIiHQch9IfMzEwnJ6fr168DQLt27fz9/efNmyeBBWD4fP6AAQPS0tKWLVu2e/ducZ+OaeRxdCg1NTUnJwcAAgMDsQwgxCjm5ubXrl07c+ZM165dX716tXDhwqFDhz548EDc51VQUKC3t9yzZ096erq4T8c0clcJhEKhk5MTAMyYMWPVqlWk4yCEPkZR1JQpU7KzswMCAtTV1R8+fDh06ND58+e/fPlSrOcdOXLkjBkzBAKBk5OTvA2WyN3o0PHjx2fNmqWiopKXl9epUyfScRBC/+X169fr1q2Ljo4GAFVV1XXr1rm4uHA4HDGd7vnz5z179mxoaIiPj7e1tRXTWRhIvnqCioqKefPmAYCrqyuWAYSYz9DQ8MCBA3RbUFdXt2HDhl69ep08eVJMl7CdO3d2c3MDAFdX14aGBnGcgpnkqxLMmjWLfqZx9erVpLMghL7UoEGDfvvtt6NHj3bo0OH58+czZswYNWpUWlqaOM7l4eHRvn3758+fh4aGiuP4zCRHleDRo0cJCQkAsHz5cgMDA9JxEELNQFHUnDlzcnNzN27cqKKicvv27f79+y9btoxeJkCE1NTUAgICAMDX17e0tFS0B2csObpP0LVr12fPnmloaFRVVeGuZAhJr99//93d3f348eMAoKWltWnTppUrV4pwHqBQKBw2bNj9+/cXLFgQExMjqsMymbx8IO7bt+/Zs2cAsGPHDiwDCEk1Y2PjuLi4O3fuWFpavn//3sXFxcLC4tKlS6I6PkVR9IzSQ4cOJSUlieqwTCYXPQGPx9PW1q6trTU1Nc3PzycdByEkGnw+Pzo6et26dfQYkY2NTWhoqKgWl7a3t4+Jifnqq68SExNl/vJRxv/zaD4+PrW1tQBw8uRJ0lkQQiKjoKCwePHigoICV1dXRUXFixcvmpubu7i4VFVVtf7gfn5+6urqSUlJR48ebf3RmI7cQhcSUl1d3a5dOwCYN28e6SwIIXHJy8v77rvv6I81fX39qKgoHo/XymP6+fkBQLt27T58+CCSkIwl+z2Bn5/fq1evTExM9u3bRzoLQkhcunfv/uuvv166dKlHjx5v375dunTpgAEDbt++3ZpjOjk50Yte+Pv7iyonQ5EuReJ1584dNpsNAGfOnCGdBSEkCVwuNyIiQltbm/6ImzFjxrNnz1p8tNOnTwOAsrJyUVGR6DIyjozfMW7fvn1paamZmVlOTg5FUaTjIIQk5O3btxs3boyKihIIBMrKymvWrPHw8FBTU2vucYRC4dixY2/cuDFt2jQZvtEoy6NDISEh9IMhfn5+WAYQkiv6+vq7du168uTJqFGjGhsbt27damZmdvTo0eZe+1IUFR4ezmKx4uPjb968Kaa0xMlsT9DQ0KCjo9PQ0NCnTx85XGMWIUQTCoWnT592dXV9/vw5AAwdOjQiImLQoEHNOsjKlSt37dplYWGRkpJC76UjY2S2J1i0aFFDQwNFUadOnSKdBSFEDEVRtra2OTk5vr6+ampq9+/fHzx4sL29/atXr778IN7e3jo6Ounp6bI68UQ2e4KioqJu3boJhcLp06efOHGCdByEECOUlpauXbv20KFDAKCurr5+/XonJycVFZUv+dnt27evXr1aT0+voKBAR0dHzEklTTYrgaWlZWpqqrKyclVV1Rf+MyOE5ERSUpKjoyO9jETXrl2Dg4OnTp362VuJTU1Nffv2zcnJcXJyCgsLk0hSyZHB0aHs7Gx6uVpvb28sAwihj9ALSBw6dMjIyKioqMjW1nbs2LEZGRn//VOKiop0AdixY0dubq5EkkoQuQmsYiEQCMaNGwcANjY2pLMghBjtw4cP69evV1ZWBgAWi7VixYq3b9/+949MmjQJACZMmCCZhBIja6ND58+fnzRpkpKSUlZWVrdu3UjHQQgx3bNnz9asWRMfHw8AOjo6Xl5ey5cvV1RU/OQ3FxQU9O7du6mp6cKFCzY2NpJNKkYyNTpUU1Mza9YsAHB0dMQygBD6El26dDl58uTNmzctLCwqKysdHR379u179erVT36zqampk5MTADg7O3O5XIkGFSeZqgR2dnZ1dXUsFov+p0IIoS9kbW2dkpISGRmpr6+fk5Mzfvz4yZMnFxQU/PM7N2zYYGBgkJ+fv2PHDsnnFBPZqQSZmZnnz58HgIULFxoZGZGOgxCSMgoKCkuXLi0oKHB2dmaz2b/++mvv3r3XrFnz/v37v3+bpqamr68vAGzevLm8vJxQWBGTnfsEPXr0yMvLU1VVff/+Pb3qHEIItUxubq6zs/Ply5cBwMDAwNfX197e/s+ni/l8/uDBg1NSUpYsWRIVFUU0qWjISE8QGxubl5cHACEhIVgGEEKt1KNHj0uXLl24cKF79+7l5eWLFy8ePHjwvXv36L9VUFCgt7fcu3dvamoqyaAiIgs9gUAg0NHRqa6uNjY2ppcWQQghkeByuTt37vTy8qqurgaAWbNmBQYGdurUCQDs7Ox++eWXESNG3Lp1S9rXuJSFnuDPf6S4uDjSWRBCMkVJScnZ2bmgoGDJkiUURcXFxfXo0cPLy6uuri4gIIDD4dy5c0cGVquW+p6grq6uZ8+excXFkyZNOnfuHOk4CCGZlZqa6ujoeOfOHQDo0KFDUFBQTk6Ot7d3p06dcnNzORwO6YAtJ/U9QXBwcHFxcadOnX755RfSWRBCsqxfv363bt06ceKEsbFxSUmJnZ3dtWvXDAwMiouLQ0JCSKdrFenuCVJSUoYNG9bQ0BAXFzdz5kzScRBCcqG+vj4kJMTPz6+uro6iKKFQyOFw8vPzO3ToQDpaC0lxJWhqatLV1a2pqdHW1p41a5a037FBCEmXmpqapKSkP58+s7S0vH//Pr2KkdSR4kqQmJg4bNgw0ikQQugPaWlpFhYWpFO0hBRPvR84cKCtre2bN2/Gjh1LOgtCSH4JBIL09HQ1NTUpLQPA5J7g4MGDixYtSk5OHjhwIOksCCHUEs+ePQsJCbl69WpJSQkAdO7cedSoUUuXLmVazZDingAhhJjs/Pnzs2bNYrPZc+fO7du3L4vFys3NPXXq1O7du589e2ZsbEw64F+wEiCEkOgVFhbOnj3b2Nj4+vXr7dq1+/P1gICAXbt2sVjMmsGPlQAhhEQvMDCwtrY2Ojr672UAANhs9urVq0ml+jfMqksIISQbzp8/361bt6+++op0kC+ClQDJmpSUlMmTJ+vq6qqqqpqbm2/bto10IiR3qqurS0tLzc3N//5iVVXV2/9XX19PKtsnYSVAMuXq1atDhw4tLy/39PSMiIj47rvv6DkbCEkSvSamurr631+0trZu8/927txJKNqn4X0CJDuqq6sXLFgwceLEkydPMu2OHJIrGhoaAFBTU/P3F6Oioj58+FBWVjZv3jxCuf4VVgIkO2JjY8vKynx8fFgsVm1tLYfDwXqAiNDS0mrXrl1mZubfX6TvGTBzDxX8PUGyIyEhQVNT8+XLl2ZmZurq6pqamsuXL29oaCCdC8mjiRMnPn369OHDh6SDfBGsBEh2FBQU8Hi8KVOmjB8/Pj4+3sHBITIyctGiRaRzIXnk7u6uqqrq4OBQVlb299eZuawD00eHDhw4QG8q/SdHR0d6DA6hj9TU1NTV1S1btoyeL2Rra8vlcqOiory9vU1NTUmnQ/LF1NQ0NjbWzs7OzMyMfsZYKBQ+e/YsNjaWxWIxbf1qpleC3bt3f/SKvb09VgL0SfSmUXZ2dn++MmfOnKioqPv372MlQJI3ZcqUjIwMet2hAwcOUBRlbGw8ceLEZcuW9e3bl3S6/8HcSmBvb29vb086BZImRkZGWVlZbdu2/fMVAwMDAKisrCQXCsk1ExOTXbt2kU7xeXifAMmOAQMGAMDLly//fKW0tBQA2rRpQywTQtIAKwGSHfQOpvv37//zlX379rHZbGtra2KZEJIGzB0dQqi5LC0tHRwcDhw4wOPxRo4cSW8+vnbtWiMjI9LREGI05u5Ug1ALNDU1+fr6RkdHl5aWGhsbr1y50snJiXQohJgOKwFCCMk7vE+AEELyDisBQgjJO6wECCEk77ASIISQvMNKgBBC8g4rAUIIyTusBAghJO+wEiCEkLzDSoAQQvIOKwFCCMk7rAQIISTvsBIghJC8w0qAEELy7v8AHjAdmv7e7vkAAAAASUVORK5CYII=", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.0, 0.07), 'G': (1.0, 0.07), 'F': (0.5, 0.93), 'H': (0.25, 0.5)} radius = 0.0 connection_dict = {'L': ['G', 'F', 'H'], 'G': ['L', 'F', 'H'], 'F': ['L', 'G', 'H'], 'H': ['F', 'L', 'G']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.52, 0.63), 'I': (0.41, 0.09), 'B': (0.0, 0.81), 'D': (0.21, 0.45), 'C': (1.0, 0.91)} radius = 0.5513143051259363 # 连接关系 connection_dict = {'O': [], 'I': ['B', 'D'], 'B': ['I', 'D'], 'C': ['D'], 'D': ['C', 'B', 'I']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'E': (0.02, 0.0), 'G': (0.98, 0.0), 'J': (0.29, 1.0), 'D': (0.09, 0.24)} radius = 0.0 connection_dict = {'E': ['G', 'J', 'D'], 'G': ['E', 'J', 'D'], 'J': ['E', 'G', 'D'], 'D': ['J', 'E', 'G']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.76, 0.53), 'E': (0.65, 0.0), 'G': (0.24, 0.7), 'J': (0.49, 1.0), 'T': (0.36, 0.85)} radius = 0.54163453382386 # 连接关系 connection_dict = {'O': ['J'], 'E': ['G', 'T'], 'G': ['E', 'T', 'J'], 'J': ['O', 'T', 'G'], 'T': ['G', 'J', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Z': (1.0, 0.5), 'Y': (0.75, 0.93), 'V': (0.25, 0.93), 'R': (0.0, 0.5), 'G': (0.25, 0.07), 'U': (0.75, 0.07), 'F': (0.87, 0.28), 'I': (0.43, 0.74), 'A': (0.41, 0.66)} radius = 0.0 connection_dict = {'Z': ['Y', 'U', 'F', 'A'], 'Y': ['Z', 'V'], 'V': ['Y', 'R', 'I'], 'R': ['V', 'G'], 'G': ['R', 'U', 'I', 'A'], 'U': ['G', 'Z', 'F'], 'F': ['Z', 'U', 'Y', 'I'], 'I': ['G', 'F', 'V', 'A'], 'A': ['I', 'G', 'Z']}
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", 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<image>
# 顶点坐标 coordinates = {'J': (0.79, 0.28), 'U': (0.59, 0.55), 'W': (0.26, 0.45), 'F': (0.26, 0.11), 'Z': (0.59, 0.0), 'N': (0.26, 0.28), 'V': (0.21, 0.12), 'E': (0.26, 1.0)} radius = 0.0 connection_dict = {'J': ['U', 'Z', 'N'], 'U': ['J', 'W'], 'W': ['U', 'F', 'N', 'E'], 'F': ['W', 'Z', 'N', 'V'], 'Z': ['F', 'J', 'V', 'E'], 'N': ['J', 'W', 'F', 'V', 'E'], 'V': ['F', 'Z', 'N'], 'E': ['Z', 'N', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.0, 0.29), 'F': (1.0, 0.29), 'J': (0.91, 0.71)} radius = 0.0 connection_dict = {'I': ['F', 'J'], 'F': ['I', 'J'], 'J': ['I', 'F']}
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GBrxfnIqKiqenp7+///fv3+kuENWDUN8YV/fs2TMyP3zfvn1CPZFo4BtjoZLde4Jv376pqKiI82N0Dodz9+5d0gnu27dvZKO6urqbmxuTycROcOj3zM3Nt2/fPm/evCVLltjb25ubm9NdERJjdEcRDcg9wenTp5s1a9a8efM3b97QXdH/UV5eHhoaOmnSpOqvxbS0tCZMmBASElJWVkZ3gahRRHZPQFEUl8slTz47deokgtMhySW79wRdunS5ceNG//79nZ2d79+/T/vNQVlZWVhYGOkE9+PHD7JRV1eXdIJzcnLCTnCovhgMxsmTJ83MzN68ebNw4ULyfgKhn8luEgCAtbX1lStX3NzcnJ2dY2JiaFnoo6io6MaNGywWKzQ0tLS0lGxs2bKlp6enl5eXvb09doJDjaGrq+vv7z9gwAA/Pz9nZ+cRI0bQXRESS3TflNCgxhzjy5cvy8vL9+jRo7CwUGQ15Ofnnz59eujQocrKyrzfhaGh4cKFC2NjY6uqqkRWCRIxUT4d4lm1ahUAaGlpffz4UWQnRRIEP2+Cp6enn5/f5MmThw4dGhYWJoyZnzw5OTkhISEsFuv27dscDodsNDY2JtOAsRMcEpJ169ZFRkbGxcWNGTMmOjoabzRRDfgXAgBg0qRJ+fn5S5YsGTFiRHBwsMD/nXz58oXXCY7L5ZKNpqamJAC6deuGASA7lJWVr1+/Tv5DZCdVVFQkXSgePHiwfv369evXi+zUSCLg+gRClJ6efvnyZRaL9eDBA96fc/fu3UkAVJ8ejJAIXLhwYfTo0QwGIzIyUqgdL5DEwSQQPNIJLigo6MmTJ7yNNjY2pBEQdoJDNJoyZcqJEydat26dlJSEM9IRDyaBYFAURTrBsVis6p3g7O3tSQBUnx6MZBmbzT537hwAjB07VnjdJmpTUlLSs2fPt2/fenh4BAcH42NJRGASNApFUc+ePSN3AG/fviUb5eXlHR0dvby8hg0bpq+vT2+FSNwIafXKuktMTCSrFxw4cGDWrFmiLwCJIUyChuByubxOcGlpaWSjkpIS6QQ3dOhQvO9GtaE9CQBgz549CxYsUFZWjo+Px4UhEWAS1EtVVdX9+/dJAHz+/JlsbNKkiYuLC5PJHDJkiJaWFr0VIvEnDklAUZS7u3toaGiXLl3i4+NVVVVpKQOJD0wC/nJzc5cvX66oqBgcHJydnU02qqurDxkyhHSCo+vfM5JE4pAEAJCTk2NmZpaVlTVjxozDhw/TVQYSE5gEfHz69Kl9+/a85eC1tbWHDh3KZDIHDhwo1DloSFqJSRIAwJ07d5ydnSmKCgoKYjKZNFaCaIdJwAeXy1VRUWGz2QwG4/Tp06NGjcJOcKgxxCcJAGDlypX//vuvtrZ2UlKSoaEhvcUgGmES8NepUycyLqhNmzYfP36Uk5OjuyIkwcQqCdhstp2d3ePHj+3s7KKiorALhczCixp/vJuAjIwMsjwsQg2mrKx88eLFixcvirLbRG0UFRXPnz+voaERGxu7ceNGustBtMF7Av7MzMxevHhhaWlJ5gzfuHHD1dWV7qIQEpjz58+PGTNGTk4uKiqqb9++dJeDaID3BHW1YcOGpk2bAgCTyeStJIOQFPD29vbx8eFyuWPHjs3Pz6e7HEQDTIK6UlBQuH37NoPBKCsrw+5dqME4HM6lS5cuXbrEa0suDvbt22diYpKZmTl16lR8TiCDMAnqoUePHmvWrAGAxMTEdevW0V0OkkgVFRUjR44cOXJkRUUF3bX8j7q6emBgIJk0c+TIEbrLQaKGSVA/69ats7CwAID169c/e/aM5moQEpwePXr8+++/ALBw4cKXL1/SXQ4SKUyCeouOjm7SpAlFUU5OTmJ1g49QIy1YsMDFxaW8vHz06NFlZWV0l4NEB5Og3jQ1NYOCggCgoKDA3d2d7nIQEhg5OblTp07p6+snJycvXryY7nKQ6GASNMTgwYN9fHwAICws7Pjx43SXg5DA6OvrnzlzBgAOHToUHBxMdzlIRDAJGuj48eNt2rQBgJkzZ3769InuchASmIEDBy5duhQApkyZkpGRQXc5SBQwCRpITk4uJiZGQUGBw+H07duXt049QlJg48aNlpaWBQUFY8eO5bVfRFIMk6Dh2rZte+DAAQBIT0+fMWMG3eUgyaCkpHTy5MmTJ0+KcytDJSWl8+fPq6urx8TE/PPPP3SXg4QOu03wR7pNREREDBgw4OevDhw4MCIiAgDCwsIGDRok8uoQEhZ/f//x48fLyclFR0fb2dnRXQ4SIrwnaKzr169ra2sDgKenJ3ahQNJk3Lhx48eP53K5Y8aMKSgooLscJESYBI2lpKQUERFBulA4OTnRXQ4SdxwOJzQ0NDQ0VCImoxw4cMDY2DgjI2PatGn4/ECKYRIIgKWl5Z9//gkACQkJ69evp7scJNYqKiqGDBkyZMgQseo2URsNDY3z588rKCiwWCw/Pz+6y0HCgkkgGBs2bDAzMwOAdevWPX/+nO5yEBIYS0vLzZs3A8D8+fOTk5PpLgcJBSaBwERHR6uoqFAU5ejoKBE3/gjV0aJFiwYOHFheXu7t7Y1dKKQSJoHAaGtrX7p0CQDy8/M9PDzoLgchgZGTkzt9+rSent6LFy/IpDMkZTAJBGnIkCETJkwAgBs3bpw+fZruchASmBYtWpC/0gcOHAgJCaG7HCRgmAQCdvLkSQMDAwCYOnVqZmYm3eUgJDAuLi6kLd3kyZPx77aUwSQQMDk5udjYWHl5edKFgu5yEBKkTZs29ezZMz8/f9y4cdiFQppgEggerwtFWlrazJkz6S4HiRclJaX9+/fv379fnLtN1IZ0oVBTU4uOjiYDipB0wG4T/P2+20RtBgwYcOfOHQAIDw93dnYWWnUIidqZM2cmTpwoLy8fHR3dp08fustBAoD3BMJy48YNLS0tABg2bFhxcTHd5SAkMOPHjyc9SseMGfP9+3e6y0ECgEkgLLwuFKWlpY6OjnSXg8RFVVXV3bt37969K7nP2RkMxsGDB9u3b//p06fp06fjcwUpgEkgRFZWVitWrACAJ0+eYGtfRJSXlzs6Ojo6OpaXl9NdS8NpamqSLhSXLl3CZfukACaBcG3atKlbt24A8Ndff718+ZLuchASGGtra/L5Zt68ea9fv6a7HNQomARCd/fuXdKFol+/ftiFAkmTJUuWDBgwoKysbPTo0RJ9i4MwCYROR0fnwoULAJCXl+fp6Ul3OQgJjJyc3JkzZ5o3b/78+fNly5bRXQ5qOEwCURg6dOjYsWMB4Pr162fOnKG7HIQEpmXLlqdOnQKAffv2Xbt2je5yUANhEojImTNnWrduDQBTp0798uUL3eUgJDCDBw9euHAhAEyaNOnz5890l4MaApNAROTk5GJiYuTl5dlstr29Pd3lICRImzdv7t69e15e3vjx4yV3dKwswyQQHSMjo7179wJAamqqr68v3eUgeigqKm7dunXr1q2Kiop01yIwysrKgYGBampqUVFRW7ZsobscVG/YbYK/hnWbqI2Tk1NUVBQA3LlzB9c9RtLk1KlTkyZNkpeXj4mJ6d27N93loHrAewJRCwsLI10ohg4dil0okDSZOHGit7d3VVWVt7c3dqGQLJgEoqakpHTr1i0Gg1FSUtK/f3+6y0GiVlVVFR8fHx8fL33P0xkMxqFDh4yMjNLT02fOnInPGyQIJgENevXqRZYAfPz4Mbb2lTXl5eXW1tbW1tZSORVLS0uLdKG4cOHCyZMn6S4H1RUmAT22bNliamoKAKtXr05OTqa7HIQEplevXhs2bACAuXPnvnnzhu5yUJ1gEtDm3r17ysrKXC4Xu1AgKbNs2bL+/fuXlpZiFwpJgUlAGx0dnfPnzwNAbm6ul5cX3eUgJDCkC4Wurm5SUhJpx4vEHCYBnTw9Pb29vQEgJCTk3LlzdJeDkMC0atWKdKHYs2fP9evX6S4H8YFJQDN/f/+WLVsCwKRJk7KysuguByGBcXNzmz9/PgBMmjQJO6yIOUwCmmEXCiTFtmzZYmFhkZubi10oxBwmAf06dOiwa9cuAEhJSZk9ezbd5SDhUlRUXLt27dq1a6Wp20RtlJWVz58/r6qqGhkZuW3bNrrLQbXCbhP8CbbbRG369esXHR0NAFFRUf369RPeiRASsRMnTkyZMkVeXj42NtbGxobuctAv4D2BuAgLC9PU1ASAIUOGlJaW0l0OQgIzadKkUaNGVVVVjRkzprCwkO5y0C9gEogLFRWVsLAw7EIh9bhcbnJycnJyMpfLpbsWEWEwGIcPH27Xrl1aWhp2oRBPmARipHfv3osXLwaAuLi4rVu30l0OEoqysrKuXbt27dq1rKyM7lpER1tbOyAgQF5ePjAw8PTp03SXg2rCJBAv27Zt69y5MwCsXLny9evXdJeDkMD07t17/fr1ADBnzpy3b9/SXQ76PzAJxA6vC4WDg4PsPEBAsmD58uWOjo4lJSXe3t4VFRV0l4P+B5NA7Ojq6pL5xjk5OdiFAkkTeXn5s2fPNmvWLDExceXKlXSXg/4Hk0AcMZnMUaNGAUBwcDDpTYSQdGjdujXpVr1r164bN27QXQ76DyaBmAoICGjRogUATJw4EbtQIGni7u4+d+5cAPDx8fn69Svd5SAATAKxJScnd+/ePTk5OTab3bdvX7rLQUiQtm7damZmlpOTM2HCBHwZJg4wCcSXiYnJzp07AeD9+/fz5s2juxwkGIqKikuWLFmyZIksdJuojYqKSmBgYJMmTW7fvr19+3a6y0HYbaIORNNtojZ9+/aNiYkBgOjoaLw5QNLk2LFj06ZNU1BQuH//vrW1Nd3lyDS8JxB34eHhGhoaAODm5oZdKJA0mTJlyogRIzgcjre3948fP+guR6ZhEog7FRWVmzdvAkBxcbGzszPd5aDG4nK5Hz9+/PjxIz4fZzAYR48ebdu2bWpqqq+vLz6foBEmgQTo06fPwoULAeDBgwc7duyguxzUKGVlZUZGRkZGRjLVbaI2vC4UAQEBZ8+epbsc2YVJIBl27tzZsWNHAFi2bBnO1EfSxNbWdt26dQAwa9asd+/e0V2OjMIkkBgxMTFKSkpcLrdv3774YAFJk5UrVzo4OJAuFJWVlXSXI4swCSRG8+bNye1zdnb2yJEj6S4HIYGRl5f39/fX0dF5+vTpqlWr6C5HFmESSJKRI0eSTkQsFuvixYt0l4OQwBgYGJw4cQIAduzYERYWRnc5MgeTQMJcuHBBX18fAMaPH5+dnU13OQgJjIeHB1nHGzusiB4mgYSRk5OLjo6Wk5OrrKzEiWZIymzbtq1bt27Z2dkTJ07El2GihEkgeTp27EhWNHv79i0ZXYokiIKCwqxZs2bNmqWgoEB3LWKnSZMmpAtFeHg4abWCRAO7TfBHb7eJ2vTp0+fBgwcAEBMTY2dnR3c5CAnM0aNHZ8yYoaCg8ODBAysrK7rLkQl4TyCpIiIi1NXVAcDV1bW8vJzuchASmGnTpjGZTNKFoqioiO5yZAImgaRSVVUlC31gFwrJQlFUTk5OTk4O3o7XhsFg+Pn5tWnT5sOHD+QdMhI2TAIJZm9vT7pVx8bG7t69m+5yUJ2Ulpbq6enp6elhP8HfaNq0aUBAgJyc3NmzZ7ELhQhgEki2PXv2/PHHHwCwePFi7EKBpImdnd3atWsBYNasWSkpKXSXI+UwCSQerwtFv379cOAdkiZ//vln3759i4uLsQuFsGESSDw9Pb3Tp08DQFZW1ujRo+kuByGBIV0omjZt+uTJk9WrV9NdjjTDJJAGo0eP9vT0BIBLly4FBQXRXQ5CAtOmTZvjx48DwLZt28LDw+kuR2phEkiJoKAgPT09ABg7dmxubi7d5SAkMJ6enr6+vgAwYcKEb9++0V2OdMIkkBJycnJ3794lXSjs7e3pLgchQdqxY4epqem3b998fHzwZZgwYBJIj86dO//7778A8ObNm8WLF9NdDvo1BQWFiRMnTpw4EbtN1B3pQqGiohIWFoYDpoUBu03wJ57dJmpja2v78OFDBoMRExPTp08fustBSGAOHz7s6+urqKj48OHDnj170l2OVMF7Amlz+/ZtNTU1iqKwCwWSMjNmzPD09GSz2aNHj8YuFIKFSSBtVFVVQ0NDAaCoqGjQoEF0l4NqoiiqpKSkpKQEb8fri8FgHDt2zMDAICUlZe7cuXSXI1UwCaSQg4PDnDlzAODevXt79uyhuxz0f5SWlqqrq6urq2O3iQbQ0dE5d+6cnJzc6dOnz507R3c50gOTQDrt27fP2NgYABYvXvz+/Xu6y0FIYPr27fvXX38BgK+v74cPH+guR0pgEkitmJgYRUXFqqoqBwcHHHiHpMnq1avt7OyKioqwC4WgYBJIrRYtWpw6dQoAvn79OnbsWLrLQUhgFBQUzp07p62tHR8fv2bNGrrLkQaYBNJszJgxHh4eABAYGMhiseguByGBMTQ0PHbsGABs2bIlIiKC7nIkHiaBlGOxWM2bNwfsQoGkDpPJnDFjBgBMmDAhOzub7nIkGyaBlJOXl4+KipKTk6uoqHBwcKC7HIQEaefOnV26dMnKysIuFI2ESSD9TE1NN23aBACvXr1atmwZ3eXIOnl5eS8vLy8vL3l5ebprkXiqqqqBgYHKyso3b97cu3cv3eVIMOw2wZ9kdZuojY2NzaNHjxgMxv3793v37k13OQgJzMGDB2fPnq2oqBgXF9ejRw+6y5FIeE8gK+7cuUO6ULi4uGAXCiRNfH19PTw82Gy2t7d3cXEx3eVIJEwCWaGmpnb16lUA+PHjh6urK93lICQwDAbj+PHjrVu3fvfu3bx58+guRyJhEsgQJyenWbNmAcDdu3f3799PdzkyqqSkhMFgMBiMkpISumuRHs2aNTt37hyDwTh58uT58+fpLkfyYBLIlgMHDnTo0AEAFixYgDP1kTRxcHAgax3PnDkzNTWV7nIkDCaBzLl37x7pQtG3b18ceIekyZo1a2xtbX/8+DFmzBg2m013OZIEk0DmtGrV6sSJEwDw5cuX8ePH010OQgKjoKAQEBCgpaX16NGjtWvX0l2OJMEkkEXjxo1zd3cHgICAgJCQELrLQUhg2rZt6+fnBwD//vvvnTt36C5HYmASyKjLly/r6uoCwKhRo/Lz8+kuByGBGTFixLRp0yiKGj9+fE5ODt3lSAZMAhmloKCAXSiQtNq9e3fnzp2/fv06adIknDxbF5gEsqtr164bNmwAgJcvX65cuZLucmSFvLz84MGDBw8ejN0mhEdVVfX8+fPKysqhoaH79u2juxwJgN0m+JOObhO1sba2jo+PZzAYDx8+7NWrF93lICQwe/funT9/vpycXFhYmLOzM93liDW8J5B1kZGRqqqqFEUNGjQIl39CEoqiqC9fvkRHRx87dow3ZY+s28rlcl1dXb98+UJrgeJOge4CEM3U1dVDQkKcnZ0LCwtdXV1xuAWSFA8fPrx27dr79+/fv3+fkpLCC4Du3bv37NkTAHR0dMgWGxsbPT092gqVBJgECAYMGDBjxowjR45ERkYeOnTI19eX7oqkWUlJCbkqZWdnq6mp0V2OuCsoKHj37t37ak6ePNm1a1cAePjw4ebNm3l7ysvLt2vXzsTEhMFgAACHwwkPDwcAKyurqKgoBQW81v0O/ukgAIDDhw+Hh4enpaXNnTvXxcXFyMiI7oqkWWlpKd0liKOioqL3798bGRk1bdoUAM6ePbtw4cK8vLwau71+/Zokga2tra+vr4mJiYmJyR9//NGuXTslJSXebuvXr4+Li9PU1Lxw4YKioqIofxBJhEmA/hMTE2NkZMRms+3t7T99+iQnh++QkBB9+/YtNjaW90n/3bt33759AwAWizV8+HAA0NDQIDHQqlUrk2psbW3JEWxsbGxsbH558Lt3727cuBEAjh49ih9r6gKTAP2ndevWfn5+Pj4+nz9/9vHxOXPmDN0VIWlQUVGRmppKrvXv37+fMGFCnz59ACA2NtbLy6vGznp6erzH/f369UtMTDQ2NlZXV6/XGfPy8saNG0dR1OTJk0eNGiWQn0LqYRKIu7S0tObNm9f3H0PDTJw48dKlS6GhoWfPnvXy8ho6dKgIToqkBpvN5nA4TZo0AYDExMQVK1a8e/fu06dP1RsdmpiYkCTo3LmztbU1ebDD+7yvpaXF21NbW9vCwqK+NVAUNWXKlM+fP3fs2LHu61l++PBh69atERERX758UVJS6tat28iRI6dPn05+FlmASSDu3Nzc3r59O3LkyL179zZv3lzYp7ty5UqLFi3y8vJGjRr19etXbW1tYZ8RSaKqqqpPnz7xHuyQ/0hLS9u2bdvChQvJPuSFLQCoq6vzLvckBgCgS5cujx49Enhhhw4dCgkJUVJSOn/+fB1fyIeGho4YMUJZWXnChAldu3atrKyMjY1dunRpcnLy0aNHBV6hmKIQP926dQOAiIgI0Z86KyuLDIQAAGVl5SlTpjx//lzYJ01KSiIn7datm7DPJYN4yysWFxfTXUudVFVVZWRkREZGHjlyJCYmhmx8/PjxL68ns2fPJjsUFxcfP3783r17X79+5XK5oin1+fPnysrKALB79+46fktqaqq6unqnTp2+fPlSffv79+/rfhApgEnAH41JQAbJtW3bloyPJpycnK5evVpVVSW8865fv56ca9WqVcI7i2wqLS11cHBwcHAoLS2lu5Za5eTkrFixgslkduvWrfoTkjlz5pAdCgoKlJSUOnfuPHTo0CVLlpAhyBkZGUL9a/l7JSUlXbp0AQA3N7e6Z8/MmTMB4P79+0KtTfxhEvBHVxJUVlYaGBgAwKlTp7hcbmxs7IgRI3jNajp06LBnz54fP34I6ewkexgMRnx8vJBOgWjE5XJzcnIePHhw+vTp1atXjxo1qnv37rzgrzF2U15e3tjY2NXV9dChQ7wjcDgcmmr/tRkzZgBAixYtsrOz6/5drVu3bt++vfCqkhSYBPzRlQSBgYEAoKenV15eztuYnp6+bNky3uN7DQ0Nsg6lwM/+48cPVVVVANDW1q6oqBD48ZEoff/+PT4+/unTp7z/JWP2axg8eDDvWxYtWrRr167Q0NB3795VVlbSVHhdBQUFkQ8ut2/frvt3FRYWAoCHh4fQ6pIYmAT80ZUEvXv3BoC1a9f+/KXi4uJDhw516tSJ/ANmMBgeHh5RUVGCfSB769YtcvwBAwYI8LBI2DgczsWLF//55x8fH58+ffrwBhq4u7uTHbhcLhmlY2Bg4OjoOH369O3bt4eEhLx//57eyhsmPT2dfDZasWJFvb4xIyMDAMiQUxmHScAfLUkQFxcHAEpKSl+/fq1tn6qqqps3b7q4uPA+05mZmZ04caKsrExQZUybNo0c+fDhw4I6powrLi7W1dXV1dVt/Bvj0tLSFy9eXL58ecuWLVOnTl29ejXZzuVyfx52rK+vX/2S9+7du5KSkkYWIA7YbLadnR0AWFtb1/feBe8JeDAJ+BNUEri7uzdp0uSXT/bHjBmjqKiYm5vL2+Lt7Q0AEyZMqMuRX7165evrSx7mAICGRnN7+78SE7/w/05+qqqq2rVrR54Uf/z4sfEHRA0bO1RRUVF9cMvQoUMNDQ1548oIU1NT3g4+Pj4TJkzYsGFDYGBgQkJCYWGhIH8GcULWK9bQ0GjYM9JWrVp16NBB4FVJHEwC/gSVBOS5/+nTp2tsLykpUVNT4925UxSVmZlJGmYlJCTU/fj5+flbt25t06bN/3/Lpzhu3LgnT540suyMjAxSjIGBAY0jQ6RGXZIgLS0tLCxs7969pA1Uhw4d5OXlzczMeDuQv5MAoKWlZWlp6e3tvWbNmgsXLojkJxAj0dHRpC1KQEBAw44wffp0AHjw4IFgC5M4mAT8CSoJSktLNTQ0Bg0aVGN7QEAAAAQGBvK2rFq1CgD69u3bgLNcvcoGuCgv34f3UbFPnz6XLl1is9kNrvz48ePkUE5OExt8EERUT4Kqqqr09PSIiIiDBw9u27aNt4+pqenPr3P19PR474EiIyNjY2O/ffsmsqH6YigvL48MrvPx8WnwQVJSUtTU1Lp06ZKVlVVjO84nQP+HAN8TTJw4UUFB4du3b9U3DhkyRENDgze6vLS0tFmzZgDAYrEacIqBAykAatEiKj4+fty4cbwujIaGhlu3bs3Pz29Y5RYW/72NOHjwWsOOION4l2xeEnTu3FlFRYV3oVdXV+ft4+3tbWpqOmzYsKVLl/r5+d29e/fz58+yfNH/GZfL9fT0BAATE5OioqLGHCokJERFRaVp06bz58/38/M7cODA2LFjlZSUpk+fLqhqxR8mAX8CTAIy/37fvn28LXl5eYqKitXfB/j5+QFAu3btGjBeOzmZAqDk5KjU1P+2fP78efXq1bq6uuRyo6qq6uvr+/r167ofs6SEmj6dAmAD6ACAsrJKQUFBfQuTKVwuNzs7+/79+ydPnly1atWIESMsLCwMDAzIpZyXBISiomLHjh2HDBmycOHC6sOF0e8dOnSI/OnV6wlqbd69ezdt2jTS11pDQ6NPnz779u2TqV8HJgF/AkwCDofTsmXL3r1787YcPnwYAG7dukX+l8vlkicD27dvb8DxZ8ygAChPz5rby8rKjh8/bmZmxrsAubi4hIWF8f2Y+fw51aULBUABUD4+ieQVpbm5eQNqk1b5+fmPHj06f/48bwuTyfz52Q4AkBlPvCQIDg5OSUlpzFM7mfXixQtyO7Vz5066a5ESmAT8CXYUKenPlZaWRv63b9+++vr6vI//t2/fBgA1NbUGfO7OzaWaNKEAqOjoX+/A5XIjIyOHDh3KG3PSuXPnQ4cO/fLVJZdL7d9PKStTAFSLFhT56detW0e+kTdgUQZFR0dv2LBhwoQJNjY25DkekZeXR3aYN28eg8EwNDTs37//zJkzd+zYcfXq1devX5PfcmlpqaWlpaWlpTh3mxBnpaWl5NOSq6srDmEQFEwC/gSbBE+ePAGAf/75h6KojIwMBoMxf/583leHDBkC1bq71MvmzRQAZWFB8X2enJKSMn/+fA0NDXIJa9q06fLlyz99+sTbITeX8vD471Zg8GCq+uz97t27AwCDwRDIXbnYKikpSUpKCgoK2rx58+TJk+3t7b9//06+NHv27Bof9lu2bOng4JD6/x/JFRQUCHBKB6qBrK6qr69f430bagxMAv4EPrOsU6dOXbt2pShq69atAPD48WOy/d27d+TT+tu3b+t7zMpKysCAAqBOnarrtxQWFu7evbt9+/bkciYvLz9y5Mj79+9HRXFbt6YAKCUlavfumrlSWFhIWpJJTReK8vLyV69e8R4K79q1i4xIqYHXf+nSpUsTJ078559/Ll68mJiY2MjXlaheLl++TH4d4eHhdNciVTAJ+BN4EmzYsAEAkpKSLCwsTExMeNunTJkLAG5ubg04ZmAgBUDp6VH1fcvF4XBCQkIcHR2rXfSsAPxNTCr+f5eamm7cuEH2GzhwYANKpdfXr19DQ0N37949e/ZsZ2fndu3akQHpvJ48O3fuJD+dtra2tbX12LFj161bd+7cuZycHHorR58+fSLtkpYtW0Z3LdIGk4A/gSdBamoqAHh4eADAunXryMaPH78DqAPA33+HN+DhZ+/eFAD1qx5FdXXzZpKe3mQAZXIdbNGi5caNG2tr6zhp0iSym5+fX8NPKUwcDictLS08PHz//v3z58/nTUAl92E1qKurh4WFkR0yMjIePHiQk5MjpFGbJSUlbdu2bdu2rXQ0exAZDodjb28PAFZWVtJxMypWMAn4E0bfId6q3LyeX1OmkI+iXQC4HTpQe/ZQdW84/ejRfw9zau9RxMfFi5SWFgVAqatnjxixoUWLFqS82pbHqaqqMjQ0BAAFBYX09PQGnlVAqqqqeCNwyCvxzp07KykpVb/WBwUFkR1CQ0O7des2fPjw5cuXi34pFUoCV6oRE3///TcAaGhopKSk0F2LFMIk4E8YSXDgwAEAsLa2Jv/L4XBIe59Bg45qa//3qlZTk1qwgKpLM5UxYygAqm49imoqKaGmTfvvjDY2/01EqKio8Pf3t7S05F1Jf14eJz09nXShaNOmjciGcHC53KysrHv37h0/frz6UirBwcFkB9KdmOAtpbJ48eKntT3qEjlMggaIiYkhD/H8/f3prkU6YRLwJ4JepMHBwQCgo6NTUlJSXEwdPEh17Pjf1ZnBoDw8qKioWkcEZWZSCgoUANWAsTyXLlGtWv13llWrqBqdHHnL45B/hPDT8jhkEhwATJo0qd7nroPc3NyHDx+eOXOGNxXu0qVLPz/bAYCtW7eSHTIyMvbv33/r1q20tDRxW0qFwCSor/z8fNJNq44NGVEDYBLwJ4IkcHBwAICVK1fytlRVUTdvUoMG/ZcHAJS5OXXiBPXz6MQ//6QAKHv7ep80JOS/I+vqUnfu/G7PGsvjaGpq8pbHGThwINl448aNelfwk48fP65bt27s2LHW1tbVl1LhTSBKTExkMBjt2rVzdnaeNWuWBC2lwoNJUC9cLpfM1DM2NhbeCn0Ik4A/YSdBYmIiAMjLy2dkZPz81VevqJkzKVXV/67azZtTa9b8731AaSnVrBkFQDWgR1FVFUVGi7ZrV6d3Er9cHic8PJwkRJMmTerY+ri4uPjZs2fVl1I5fvw4+VJ8fHyND/tkKZVz586RHTgcjqQP1cckqJcjR44AgKKiYuO76qLfwCTgT9hJ4OPjAwCjR4/+zT55edSWLVSbNv/lgaIiNX489eQJ5edHAVBt21INexDy+fN/xxw/vq7f8vPyOCYmJuQ/unfvXmPnsrKyly9f8qZcvXr1qlWrVj8/25k9ezbZobCwcPLkyZs3bw4KCkpKSpLK0TWYBHX38uVL0lWiYc1XUN1hEvAn1CTIysoio1wePnzId2c2m7p4kbK1/d8jI3Kv8P8fkjdEbCwlJ0cBUGfO1O8bX716NXPmTN7yOETv3r137tzp6+vbv39/3lIq8+bNI9/CWyddR0fHxsZm/Pjx69evP3/+fANm0kmukpKSLl26dOnSRSpzToBKS0vJP71BgwZhVwlhwyTgT6hJQMbG9erVq17f9fgxNXbsf1dwAKqRi4mtX0/Gj1INWMU2Ly9vy5YtvOVxfqalpcVLAoqiHj16xOvPg9BvkK4eenp6NVYOQMKAScCf8JKgvLxcX18fAKp3sqy7xETKzo6ys2tsGRwO1bcvBUBZWlINmLJTUFDg5eVVIwBMTEw2bNiAXfVRw1y5coX8ReLN+ENChUnAn/CS4PTp0wDQunVr2oe+ZGRQOjoUALV0af2+8f79+23btgUABQWFmTNnkiddvFGnZHkcXM8A1UtGRoaOjg4ALFmyhO5aZAUmAX9CSgIul0v6em7atEmwR26Y4OD/njX9/7US+OBwOBs3bpSXlweA9u3bP3r0iKKoY8eOAYC8vPykSZN4y+PU5RWI7MD3BL/H4XDIoOqePXtiVwmRwSTgT0hJcO/ePQBQUVHJzc0V7JEbzNeXAqD09Sm+D2YzMzP79etHLvRjxozhjR/lcrkjR44EACMjo6ysrOPHj0+cOJH3XYcOHbp165aMPy/CsUO/R/ozqqurv3v3ju5aZAgmAX9CSgIyX2batGmCPWxjlJZSpqYUAOXiQv1msEZISAi5eVdTUzt9+nSNK3tBQQF5XuTt7V39S/n5+WSgUefOnQ8fPiyzn4gxCX4jNjaW3GWeqe9QNtQ4mAT8CSMJ0tLSyMP0ly9fCvCwjffiBaWiQgFQO3b84qtlZWVz5swhF7IePXrUNvrz/v375N/zqWqrJWRnZ/9+eRwZgUlQm4KCAtLWcNy4cXTXInMwCfgTRhIsXrwYAAYMGCDAYwrKoUP/TV578oRKTU2dPXu2iYlJkyZNVFRUlJX/61m9ePHi36/3vXHjRnLTUCMtfl4eJyAgQMg/kHjBJPglLpc7YsQIAOjQoUMdJ6sjAcIk4E/gSVBUVKSlpQUA169fF9QxBYjLpTw9KQCqZctrqqqqmpqaM2fOHDt2rKKiIhkXxGAwPvKbwsDhcMiLhO7du/+cGRwO58qVK46OjgoKCpmZmWTj58+fZeENISbBL5FuhgoKCrwl/JAoYRLwJ/Ak2L9/PxlxL7YzJ/PyqBYtUgDUtLQ6v3r1ijddwNnZOSMjY8+ePXV5qpOZmUleJyxatKi2faofZ9CgQa1atdq4caN0rw6GSfCzV69ekSVRtzZmujxqBEwC/gSbBFVVVX/88QcA7Nu3TyAHFBJ39+kAAHCkWbP/VqTZtm1bfaMrJCSEXPX4dir9/v17y5Ytyc4qKiq/XB5HOuCaZTWUlZWZmZmRzxli+9lI6mES8CfYJAgNDQUALS0tMV8JvVWrVk2a6ADIAYChYYcG37OTN8zNmzf/ym9BtYqKirNnz/bs2ZM3UdnJyenu3bsNOy+SFHPnzq3j3xAkPJgE/Ak2CZydnX//wEQcvHr1inc5NjIa9/nzD4qiCgoKcv6/0tLSOh6qrKyM/AHW8RNfjeVxeA2rkVS6evVqHe8akVBhEvAnwCR4+fIleenKa9QshoKDg8mSAwoKCn5+/xvWbW5uzouHbdu21f2AycnJDXgKnJ6evnr1at5qBCdOnOAtj4OkQ2ZmZrNmzcT/g5EswCTgT4BJMH36dADw9PRs/KGEobS0dNasWbzLvbOzc/WvxsXFRURE+Pv71zcJKIo6evRoY0aGVFVVkVUQyPI4UVFRkjtRubS01NLS0tLSsu73VVKJw+E4OjqSiSm/H5GMRACTgD9BJUFubi75aBwdHS2QwgTr5cuXXbt2JRmwZMmSli1bGhsb/7xbWlpaA5KAy+WSAUgNGy3O5XJv3rw5aNAgXkqZm5ufOHFCEtcvw7FDxD///PPLGSeIFpgE/AkqCTZv3kzG14vb51kul3v48GGyOJS+vj7pAzx16lQAIH3lqmtYElAUlZ+f3/gZpGR5HBKoADC+7mutiQ1MAoqiHjx48PMsdEQjTAL+BJIElZWVrVu3FsO/+nl5ecOHDyfXpkGDBvFWBXn37p2qqqqpqWmNdUJSU1MblgQURcXGxpL3wI3sKkOWxzEwMIiKiiJbMjMzJWWdW0wCXmeqMWPGiNunIpmFScCfQJIgMDAQAPT09MTqkei9e/fIcmOKioo7duyoMbbnypUrTZo00dLSmjVr1pEjRw4fPrx8+fI2bdrIyck1bGkdiqLWr18PAuo0yWazedeRRYsWAYCdnd2lS5fYbHYjjyxUMp4EXC531KhRAGBkZIRdJcQHJgF/AkkCGxsbAFi7dq2AimosNpu9bt068gnd2Ni4tg/UKSkpvr6+xsbGKioqTZo06dSp08yZM589e9bg83I4nL59+4Kgu8/PmjVLQUGBXGENDQ23bduWn58vqIMLlownwfHjx8nYgbi4OLprQf+DScBf45MgLi4OAJSUlMRk7synT5/s7e3J9WjixIk/fvwQ5dmFtCLV58+fV69ezVseR1VVdcWKFQI8vqDIchK8fv2adCb/999/6a4F/R+YBPw1Pgm8vb3JNVdwRTUci8Vq2rQpAGhoaPj7+9NSQ3BwMLkaCnyV2tLS0uPHj5NfGW+UOpfLFZ/n0cXFxbq6urq6urKWBGVlZWRKyoABA7CrhLjBJOCvkUmQmZlJHlw8ffpUsIXVV2lp6cyZM8kl2MrKKiUlhcZiyMQFPT29LL4LpNUfl8uNjIzktbeLiorq0qWLLC+PIw7mz58PALq6ul++fKG7FlQTJgF/jUyCVatWAUDfvn0FW1V9vXjxwtTUlMTA8uXLae//XFpaSqYvDBo0SNifEMkrSgDQ0dGRzeVxaHft2jXyKwgNDaW7FvQLmAT8NSYJSktLyXx6Fosl8MLqiMvlHjx4kEwXaNGiRXh4OF2V1PDy5UtS1fbt24V6op+Xxxk5cuSDBw/E55GRdPv8+TN5f7NgwQK6a0G/hknAX2OSgKy/0a5dOw6HI/DC6iIvL2/YsGHkCujq6vrt2zdayqjN4cOHyRjW+Ph4YZ+Lw+GEhISQDgdA3/oQpaWlDg4ODg4OMtJtgsPhODk5AYCFhYVYDaFG1WES8NfgJOByueSBzI5fLgosfHfv3jUwMCCX2l27donhazoul0vmtRkbG4tsCFNSUtLkyZOPHj1K/resrGzLli0iWx5H1sYOkan1qqqqb968obsWVCtMAv4anAS3b98GADU1tYKCAiHU9TtsNnvNmjVkusAff/yRkJAg4gLqLi8vj8xumzBhAi0FkBHuKioqU6dOffHihbBPJ1NJ8PDhQ9JV4sSJE3TXgn4Hk4C/BifBkCFDAGDOnDnCqOo3Pn782KdPH3K5mTRpkpgviUNR1L1790honT17VvRnv3HjRvXlcfr373/16lXh3T/JThJ8//7dyMgIAEaPHo2vZMQcJgF/DUuCd+/ekX/wIm61eOnSJbK6gIaGRkBAgChP3Rjr1q0DAHV1dVrGtpLlcby8vEggkbcIQkpQGUkCLpc7evRo8pLs+/fvdJeD+MAk4K9hSUDW5HNzcxNSVT8rKSkh6x8AQK9evSRrURc2m02mPVtZWdE4wvXjx49Lly7V1tYeNGgQb2Nubq4ATyEjSXDy5EkyTOvhw4d014L4wyTgrwFJ8P37d3V19UbOTK6XpKSkzp07AwCDwVi5cmVlZaVozitA6enpZPLzsmXL6K2kqKjo48eP5L8zMzOVlZWHDRt29+5dgTzikIUkePPmjZqaGgBs2rSJ7lpQnWAS8NeAJNi5cycAmJqaiuDxKJfL3b9/v7KyMgC0bNny9u3bwj6j8LBYLHKVvHXrFt21/Ie8TybMzc1PnjzZyOVxiouLVVVVVVVVpTUJysvLu3fvDgBOTk50DZ5G9YVJwF99k4DD4bRr1w4AeOMUhSc3N3fo0KHkOuXm5padnS3sMwob6Yehr68vPlMfaiyP07x58zVr1oh+PJikWLhwIQA0a9bs8+fPdNeC6gqTgL/6JsHly5cBQEdHR9hdbqKiosjqN0pKSnv27JGO4RmlpaVkEoaLi4tYTYDIy8v7999/yfwMVVVVse16Ta/Q0FCSl9euXaO7FlQPmAT81TcJHBwcAGDlypXCK4nNZq9evZrBYABAx44dExMThXcu0Xvx4gXpQrFz5066a6mpsrLywoULu3fv5m3x9fUNCgoS8+VxROPLly/NmzcHgHnz5tFdC6ofTAL+6pUEiYmJAKCgoJCRkSGketLS0nr37k0+eU2ZMkUqHzcfPHiQTI0W5zlxFEU9fPiQ/CLatm27bdu2ujwyKisrGzx48ODBgxv5vkHcVFVVDRgwgLxNkbIfTRZgEvBXryTw8fEhU2mEVMyFCxe0tLQAQFNTMzAwUEhnoR2XyyXtkoQ3rl8gsrKyqi+Po6amNmvWrN+3VZDWsUNbtmwhz81ev35Ndy2o3jAJ+Kt7EmRlZSkpKQGAMFbmKy4unjp1KrmI2NjYpKamCvwUYiUvL488lPfx8aG7Fj5KS0uPHTtG/p4Q9+7dq21nqUyCR48ekUU4jh07RnctqCEwCfirexKQibK9evUSeA3Pnj3r1KkTmS7w559/SuJ0gQa4e/cumfR77tw5umvhj8vl3rlzx93d3cjIiDd68unTpzUGDkhfEhQWFpKO3yNGjJCOYQsyCJOAvzomQXl5ub6+PgCcP39egGfncrl79+4ltxqtWrWKjIwU4MHF35o1awBAQ0NDgqZM8y7xFRUVLVu21NHRWbFiBe+9kZQlAZfLHTNmDHlTgiNrJRcmAX91TILTp08DQOvWrQX4gT0nJ4e0sQMAd3d3kXVOFh9sNpt007O2tpa4O6E3b96QFmyk78KoUaMePHhQVFQkTUlA/trLy8vfv3+f7lpQw2ES8FeXJOByuWRepQCn19+5c6dly5YAoKysvG/fPpm97/748SPpqbdixQq6a6k3Dodz5cqVfv368V4h8PqeivOb8Dp6+/Yt6SqxYcMGumtBjYJJwF9dkuDevXsAoKKiIpBuZZWVlatWrSLTBTp16vTs2bPGH1OiXbp0ibwjEVkfJ4HgcDhpaWnh4eEHDhwYO3asgYEB+Z0S4jOJumEqKip69OgBAA4ODthVQtIpABKE3bt3A8D48ePJqsWNkZaWNmbMmLi4OACYNm3arl27yMcuWebl5TV9+vSjR4+OHz/++fPnZPqSWKEo6suXL+/evXtfzYcPHyoqKmr7Fkn/ta5aterp06c6Ojr+/v5kORokuTAJBODjx49XrlwBgPnz5zfyUBcuXJg+ffqPHz+0tLT8/PxGjBghgPqkwq5du2JiYl6/fu3j43P9+vXqH65FjKKo7Oxscq3nXfpTUlJKS0t/3llRUbFDhw4mJiYmJiZ//PGHiYlJ69atyTAwiRYWFrZjxw4AOHHiBBnsiyQaJoEA7N+/n8vlOjs7k4Y5DVNSUjJv3rwTJ04AgK2tbUBAQNu2bQVXo8RTVVUNDAy0tra+cePG3r17Gx+6dZSXl1f9Yz659PPe+lYnLy9vZGRkUs0ff/xhaGhY4/NySUmJaCoXnqysrIkTJwLA7NmzPTw86C4HCQAmQWMVFxcfO3YMGndDkJiY6O3t/fbtWwaDsXr16jVr1pB5Oqg6MzOzHTt2zJkzZ9myZX379iWv6AXox48f1T/mE/n5+T/vyWAwDA0NeR/zCSMjI0VFRcGWJIa4XO7EiROzs7O7deu2bds2ustBgoGXm8Y6ffp0YWGhiYmJq6trA76doqi9e/cuW7assrKydevW/v7+1ceZoBpmzZoVHh5+9erV0aNHJyQkkOWAGqCkpCQlJaXGE57s7Oxf7ty6devqH/NNTEzat29PeuTJoJ07d4aHhzdp0iQwMJDXqRtJOkyCRuFyuXv27AGAefPm8ZbArbucnJxJkyaRRr4eHh7Hjx9v/Atn6cZgME6cOGFubv7u3bv58+dXX0amNuXl5R8+fKjxhOfLly+/3FlPT6/6x3wTExNjY2NJf7UrQPHx8StXrgSA3bt3d+nShe5ykMBgEjRKWFjY+/fvtbS0SOO5erlz5864ceOysrKUlZV37tzp6+tL41tQCdKsWTN/f38nJ6cTJ044OzuTZdMJNpudlpZW4wnPp0+fKIr6+Tg6Ojo1Hu+YmJhoamqK8EepVXJy8ubNm6OionJzc5s1a+bk5LRq1Srar7xFRUXe3t4cDofJZE6bNo3eYpBgYRI0Chk8OnXq1Ho9pmCz2WvWrNmyZQtFUV26dAkMDKzevAzx1a9fv5UrV27atGnKlClv377Nz88nl/6PHz9WVVX9vL+mpmaNxzsmJiY6Ojqir7wuLl++7O3traOjM2XKFCMjo48fPx4/fjwoKOjChQv0vp6dPXv2hw8f2rRp4+fnh59apAzjlx+XUHVmZmYvXryIiIgg7dd5kpOTu3btKicn9+HDB7JcZV2kpqZ6e3s/fvwYAGbMmLFz505VVVWB1yxNuFxuZmbm+//rw4cPbDb7551VVVWNjY1rfNLX09MTnytXSUkJ+dxQXFz883OnDx8+mJmZGRoa3rt3jzdtIjc3197ePjMz8/nz57z2FSJ29uzZCRMmyMnJRUdH29nZ0VIDEh68J2i4vXv3AsCwYcPqHgPnz5+fMWNGUVGRtrb2sWPHmEymEOuTQBRFZWVl1Xi8k5KSUl5e/vPOSkpKHA6Hy+Xa2NhMnjyZXPRbtWolPhf9Bti2bVtpaenRo0erz57T1dU9cuSIg4PDtm3byBo+IpaSkjJr1iwAWLt2LcaAVMJ7Av5+eU9AuueXl5dHR0f37duX70GKi4vnzp176tQpALCzszt37pyhoaHwahZ/FEXl5ubWGKefkpLCa9VZnYKCQvv27Ws84TEwMLh8+fLIkSMZDMadO3ccHR1F/1M0wO/vCVq3bq2kpJSWlvbzN5Jm1xkZGaKosprKyso+ffo8efKkb9++kZGROJ1YKuE9QQP5+fmVl5d3797d3t6e785Pnz4dPXr0+/fv5eTk/vrrr9WrV8vadIHv37//PFT/+/fvP+8pJyfXtm3bGo932rVr98s/sREjRkydOvXYsWPjxo1LSkrirR0moQoLC798+VLbywAzM7OrV68WFRVpaGiIsqrVq1c/efKkadOm2FVCisnW9UhQ2Gz2/v37AWDBggW/fxZBhpkuX76czWYbGBicO3euLjcQEq24uLjGOP3379/n5ub+cuc2bdrUeJFrZGSkrKxc99Pt3r07Njb2zZs3kydPDgkJkehHQ2Tqcm0XerJdxEkQHh5Opo8dP368TZs2IjsvEjFMgoa4fPny58+f9fX1R40a9ZvdsrOzfXx8bt68CQCenp7Hjh0T2/EqDVNWVsabn8W79GdlZf1y55YtW9boxNChQ4fGT01SU1MjXSiuXbt24MCBOXPmNPKANOJd63/51aKiIgaDIcr7nm/fvk2YMAEAfH19PT09RXZeJHqYBA1BBo/6+vr+5tNrRETE+PHjv337pqKismvXrhkzZkj0x9XKysrU1NQaj3dqe2atq6tbY6i+sbGx8D7Jmpubb9++fd68eUuWLLG3tzc3NxfSiYRNS0urVatWz58//+VXnz9/bmBgQFavEwEul+vj4/Pt2zdTU1PSbA5JMUyCenv06FFcXJySktLMmTN/uUNlZeVff/21detWADA1NQ0MDOzatatoa2wUDofz8ePHGk940tPTuVzuzztra2v/PFSfLCwjSnPmzAkPD79+/fro0aOfPHkiubOC3d3djxw5EhsbW2OITkxMzMePHxctWiSySnbv3h0WFqaiooJdJWQCbSsjSI4aK9V4e3sDwMSJE3+5c0pKipWVFfmz9fX1LS0tFV2h9Vd9KZUFCxa4ubmZmJjU9jZbTU2te/fuI0eO/PPPP0+dOnX//v2cnBzxWUktJyeHLPE2bdo0umv5nd+vY/z+/XtVVdUuXbpUX/IoLy+vS5cumpqaqampoinyyZMnpJveoUOHRHNGRC+8J6ifz58/k/Wzftl59Ny5czNnziwuLm7atOnx48fF6tEqRVFfvnyp8SK3tqVUVFRUjI2NazzhadGihTg/4NLV1fX39x8wYICfn5+zs7OELu1gbGx85swZb2/vbt26VZ9jXFBQEBgYKJppZUVFRaNHj2az2Z6enjNmzBDBGRHtMAnq5+DBgxwO5+eWyEVFRXPmzDlz5gwA2Nvbnzt3jsaBFlS1pVSqD9Wv41IqJiYmrVu3bkBDPdo5OTmRLhTTpk2ztraW0AUemEzm06dPN2/efOzYsezsbC6Xq6KikpCQILK+Q3Pnzk1JSTEwMDh27Jg4Zz8SJLpvSiQA7+lQSUkJ6RV6+fLl6jvEx8cbGxsDgJyc3N9//y3iNV3z8vIePnx45syZv/76a/To0T179qytjZq8vLyxsbGrq+u8efP27dsXFhaWmpoqZSvQVlZW2tjYAICtrS2bzaa7nF/4/dOhn50+fZrBYIwfP17YhRH+/v7kb3J0dLRozojEAd4T1MO5c+fy8vLatWs3dOhQsoXL5e7atWvlypVsNrtNmzYBAQFCnYuPS6nwpaioGBAQYGFh8eDBg/Xr169fv57uihprwoQJX79+XbFihYGBwaZNm4R6rg8fPvj6+gLAX3/9JfUTX1B12G2CP9JtIjw8fOHChcnJyTt27CBDOL59+zZx4sRbt24BAJPJ9PPza9q0qaBOWn0pFd7VH5dSqaMLFy6MHj2awWBERkaK28o/v+82QaPKyko7O7v4+Hg7O7uoqChZmwYv4/CXXVeJiYnJycnq6upTpkwBgFu3bk2YMCE7O7tJkya7d++eNm1ag5+olpeX/zxU//Pnz7/cGZdSqYtRo0aFh4efOHGCdKHA9X/qYs2aNfHx8dra2ufOncMYkDX4+66r4OBgAPDx8WnSpMnSpUu3b98OAN26dQsMDKz7qzzeUirVH/L8fimVGk94xGQpFfG3d+/e+/fvv337dsqUKcHBwfjm8/ciIiK2bNkCAMeOHZPx3oiyCZOgruLi4gBg6NChtra2CQkJADB79uxt27bVNummqqoqPT29xuOduiylwrv0S1lrChFTU1M7f/68jY1NSEjIoUOHSFNl9EvZ2dmkq8SMGTOwU7pswvcE/JH3BABgbm6ekpJSUlKio6Nz4sQJXs9ILpf7+fPnGo93JHcpFWmyZ8+eBQsWKCsrx8fHi8nCcOL2noDL5Q4ZMuTmzZtdunSJj4/HdZNkEyYBf6ampq9eveL9r42NzeLFiwsLC3mX/tqWUlFWVv55qL6kL6UiWSiKcnd3Dw0NFZ/LnLglwe7duxcuXChWYYlED5OAPw0NDd4YcCUlpcrKyp/3qW0pFeznTrucnBwzM7OsrKwZM2YcPnyY7nLEKwmePn1qY2PDZrMPHDiAD9BkGSYBH/n5+TVGnpClVGq8yK1tKRUkDu7cuePs7ExRVFBQEO3PwcUnCYqLi3v27Pnu3TsPDw98qS7jMAn4qKys/OOPP2oM7+nevbuXlxeTyezYsSONtaG6W7ly5b///qutrZ2UlETv2BjxSYLJkyefPHmydevWONAWYRLwR/6IsrKygoODWSzW3bt3ef2ZTU1NmUwmk8ns1q0bfqQSZ2w2287O7vHjx7RPmxKTJDh//vyYMWMYDEZUVJSDgwNdZSAxgUlQbzk5OSEhISwW686dO7zRQcbGxuQuoWfPnhgJ4ik1NdXCwqKoqGjt2rXr1q2jqwxxSILU1NTu3bv/+PHjr7/+koKGHKjxMAka7vv379euXWOxWGFhYbzezm3bth0+fLiXl5eNjY0ktvOUbuSDsJycXFRUFF19dWhPAjabbW9v/+jRI1tb2+joaHy/hQCTQCCKiopu3LjBYrFu3LhRUlJCNrZq1crT05PJZNrb2+M/NvExadKkU6dOGRgYJCUl0TJ3j/YkWLVq1ebNm7W0tJKSkiS0cTcSPBr6n9Ln5MmT5KeOiYmpvp3L5RoYGACAm5tbY45fWloaHBw8bty46j0hdHV1p06dSu4bGlc+EoCioiITExMA8PT0pGXBtfp2pRas27dvk6eXFy9eFP3ZkdiSxSRQUVHx9fWtvj0qKgoAlJWVG5kEPOXl5aGhoZMnT67+qVNbW3vChAkhISFlZWUCOQtqmISEBBqXZqQxCbKzsyVigU8kerKYBMOHD9fV1a2+jMm0adN69uzZtm1bQSUBD5vNvn379syZM/X19XmRoK6uPmrUqEuXLtHyqRBRFLVz507ymeDFixciPjVdScDlct3c3ACgc+fOJSUlojw1En+ymASXLl1iMBg3btwgGysqKpo2bbpjxw5hJAEPh8O5d+/e/PnzyWMookmTJp6env7+/t+/fxfSedEvVVVVubq6AoCpqWlpaakoT01XEuzZs4fc+D579kyU50USQRaTID4+3tbWlrcc4JUrV+Tk5D5//izUJODhcrmPHj1aunRp+/bteZGgpKQ0ePDgEydO5ObmCrsARHz79o3cqNV4VChstCRBYmKikpISAOzbt09kJ0USREaTYP/+/RoaGuTD4IgRIxwdHSmKEk0S8HC53MTExNWrV3fu3JkXCfLy8gMGDDh06FBWVpbIKpFZ4eHh5I+9xsLUQiX6JCguLiaT4d3d3Wl5SY7En4wmQXZ2toKCwsWLF3/8+NGkSRM/Pz9K5ElQXXJy8vr1683NzXmRwGAw7O3t9+zZk5GRQUtJMmLZsmUA0LRpU9JQRAREnwRklb1WrVrl5OSI5oxI4shoElAU5eLiMmzYsFOnTikpKRUUFFC0JgHP+/fvt2zZYm1tXX2kb69evbZu3frhwwd6a5NKFRUVVlZWAGBvb8/hcERwRhEnQWBgIPlgERkZKYLTIQklu0lw5swZZWVlGxsbDw8P8lVxSAKe9PT0Xbt22dnZVe9d0b17940bN75+/Zru6qRKSkqKhoYGAPz9998iOJ0okyA1NZVMbfnzzz+FfS4k0WQ3CYqKisjCkxcuXCBfFask4Pny5cuBAwecnJyqL3XQpUuXv/76KykpCR/7CoS/vz8AyMnJ1ZhyKAwiS4LKykobGxsA6N27d2VlpVDPhSSd7CYBRVGnTp1at24dbxCheCYBT05OzrFjx1xdXcmsKMLY2Hj58uWPHz/GSGgkspBvmzZt8vPzhXoikSXBn3/+CQCampppaWlCPRGSAjKdBDWIeRLwFBQUnDlzxsPDQ0VFhRcJhoaGCxYsiI2NraqqortAifTjxw9jY2MAYDKZQo1V0SRBZGQkea4YGBgovLMgqYHNMiWPtrb2+PHjr1y5kpOTc+HChZEjR6qpqX369Gn37t12dnYGBgazZ8+OjIzkcDh0VypJNDQ0AgMDFRUVWSyWn58f3eU0Sm5u7rhx4yiKmjJlyqhRo+guB0kA7EUqDcrKym7dusVisa5du1ZYWEg26urqenh4eHl5OTk5kVlFiK8dO3YsWbJERUXlyZMnpqamwjiFsHuRUhTl4eFx7dq1jh07JiQk0L5UMpIImARSpbKy8s6dOywW68qVK3l5eWSjlpbW0KFDmUzmwIEDyUtyVBsulzt48OBbt25169bt0aNHwvjjEnYS7N+/f+7cuUpKSo8ePbKwsBD48ZFUwiSQThwOJzo6msViBQcHZ2VlkY1qampubm5eXl6urq7kYoR+9u3bNzMzs+zs7NmzZ+/fv1/gxxdqEiQlJfXq1auiomLPnj3z5s0T7MGRFMMkkHJVVVUPHz5ksVgsFisjI4NsVFFRcXFxYTKZ7u7uWlpa9FYohm7duuXi4gIAV65c8fDwEOzBhZcEJSUllpaWb968cXNzu3btGq6iiuoOk0BWUBQVHx9PIuHDhw9ko6KiorOzM5PJ9PDwaNasGb0VipWlS5du375dR0cnKSmpevvYxhNeEkyfPt3Pz69ly5ZJSUnNmzcX4JGR1MMkkDkURT1//jwoKIjFYr1+/ZpslJeX79evH5PJ9PT0bNGiBb0VioPKykpbW9uEhAQHB4c7d+5Un9bXSEJKgkuXLo0cOZLBYERERPTv319Qh0UyApNApr1+/ZrcJTx79oxsYTAYdnZ2TCZz+PDhbdq0obU6mr1//75Hjx7FxcUbNmxYvXq1oA4rjCRIT083NzcvLCxcuXLlpk2bBHJMJFMwCRAAwIcPH0gkPH78mLfR2tqayWQymcwOHTrQWBuNzp49O2HCBHl5+ejo6D59+gjkmAJPAg6H4+Dg8ODBg169esXExFSfgo5QHWESoP8jIyPj8uXLLBYrNjaW93fDwsKCREL1pRRkxPjx4/39/Q0NDZOSkrS1tRt/QIEnwZo1azZs2KCpqfns2TMjI6PGHxDJIEwC9GtZWVnBwcEsFuvu3btVVVVkY+fOnZlMppeXl5mZmYwMTfnx40ePHj0+fPgwYsSICxcuNP6nFmwS3L1718nJiaKogIAAb2/vRh4NySxMAsRHbm7u1atXWSxWREQEm80mGzt06EDuEqysrKQ+EshypxwOx8/Pb+rUqY08mgCTIC8vz9zc/PPnz5MmTTpx4kQjC0OyDJMA1dX379+vX7/OYrHCwsLKy8vJxjZt2gwfPtzLy8vW1lZOTmrbWG3btm3ZsmVNmjRJSEho5CMyQSUBRVGenp4hISF//PFHQkICThVEjYFJgOqtuLj45s2bLBbr+vXrJSUlZGOLFi08PT2ZTKaDg4OCggK9FQocl8t1cXGJiIgwMzN79OhR9S6w9SWoJDh48ODs2bOVlJTi4uK6d+/e4OMgBJgEqDHKysrCw8NZLNbVq1d5ne+aNWs2bNgwJpPZv39/aep8l5WVZWZmlpOTM3fu3L179zb4OAJJghcvXlhZWVVUVOzatWvBggUNLgYhApMACUBlZWVkZGRQUFCNznfu7u5MJnPQoEHS0fnu5s2bgwcPBoCrV6+6u7s37CCNT4LS0lIrK6tXr14NHjz4+vXrUv+eBokAJgESJA6Hc+/ePRaLdfny5Rqd75hM5uDBgyX9cfbixYt37tzZrFmzpKSk1q1bN+AIjU+CmTNnHjlypEWLFklJSXp6eg04AkI1YBIgoeByuQ8fPgwKCrp8+fKnT5/IRhUVlUGDBpHOdwIZmy96FRUVtra2T58+dXR0jIiIaEAXikYmAYvF8vLyYjAY4eHhAwYMqO+3I/RLmARIuCiKevLkCZnAnJKSQjYqKioOGDCAdL7T1dWlt8L6evfuXY8ePUpKSv75559Vq1bV99sbkwSfPn0yNzf//v378uXL//333/qeGqHaYBIgEaEo6sWLF6Tz3atXr8hGeXl5BwcH0vmuZcuW9FZYd6dPn/bx8ZGXl4+Jiendu3e9vrfBScDhcBwdHWNjY62trWNjY7GrBBIgTAJEgzdv3pC7hMTERLKFwWD06dOHdL4zNDSktzy+KIoaN25cQEBA27Ztnz17Vq8nXQ1OgnXr1v39998aGhqJiYky2wkKCQkmAaJTamoqiYRHjx7xNlpZWZEJzMbGxjTW9ns/fvywsLBIS0sbNWrU+fPn6z6Ap2FJcO/ePUdHRy6Xe+7cuTFjxjSwaIRqgUmAxEJGRkZwcHBQUFD1znfm5uYkErp06UJveb/06NEjOzs7Dodz/PjxyZMn1/G7GpAE+fn55ubmmZmZEydOPHXqVIMLRqg2mARIvGRlZV25coXFYkVFRdXofMdkMs3NzcVq+PyWLVtWrFihqqqakJDQqVOnunxLfZOAoigmkxkcHGxiYpKQkKChodHYohH6CSYBElN5eXlXr14NCgqq3vmuffv2JBKsra3FIRK4XO6gQYNu375tbm4eFxdXly4U9U2Cw4cP+/r6KioqPnz4sGfPngIoGqGfYBIgcVdYWEg63928ebNG5zsmk2lrayvApSUb4OvXr2ZmZrm5ufPnz9+9ezff/euVBC9fvrSysiovL9+xY8eiRYsEUjBCP8MkQBKjpKTk5s2bQUFBoaGhxcXFZKO+vj7pfNevXz+6Ot/duHHDzc0NAK5duzZkyJDf71z3JCgrK7OyskpOTnZxcQkNDZXiVq+IdpgESPKUl5fzOt99//6dbGzWrJmHhwfpfKesrCzikhYuXLh7925dXd2kpKRWrVr9Zs+6J8GsWbMOHTqkr6+flJSkr68v4IoRqgaTAEmwysrKqKgo0vkuNzeXbNTU1CSd71xcXETW+a6iosLGxubZs2dOTk7h4eG/eWBVxyQIDg4ePnw4ANy6dWvgwIHCqBkhHkwCJA04HE5MTAzpfPf161eyUU1NbfDgwaTznQiG3Lx9+7ZHjx6lpaWbN29esWJFbbvVJQkyMjLMzc0LCgqWLl26detWYVWM0P+HSYCkCul8R2ar8TrfKSsrk853Q4cOFWrnu5MnT06ePFleXj42NtbGxuaX+/BNgqqqKkdHx5iYGEtLy/v370vTGg9IbGESIOlEUVRCQgKLxQoKCqre+a5///5MJnPYsGHC6HxHUdSYMWMCAwONjIwSExO1tLR+3odvEqxfv37t2rXq6uqJiYniPMsaSRNMAiTlSOc7cpeQnJxMNsrJyfXr108Yne8KCwstLCw+fvw4evTogICAnyc9/D4JYmNjHRwcuFzu2bNnx40bJ8DCEPoNTAIkQ96+fUvuEqp3vrO1tSWz1QTV+S4uLs7Ozq6qqurkyZM+Pj41vvqbJCgoKDA3N8/IyBg/fvyZM2cEUgxCdYFJgGRRamrq5cuXWSxWXFwcb6MAO99t3rx51apVampqCQkJHTt2rP6l2pKAoqgRI0awWCxjY+OnT59iVwkkSpgESKZlZmaSzncxMTG8fwtmZmZMJtPLy6vBne+qqqoGDhwYGRnZvXv3hw8fVp/fUFsSHD16dMaMGQoKCg8fPrS0tGzEz4RQvWESIAQA8O3bN9L5LjIyktf5rlOnTuQuwcLCor5tjr58+WJmZpaXl7dw4cKdO3fytv8yCZKTky0tLcvLy7dt27ZkyRIB/UwI1RUmAUL/R35+Pq/zXWVlJdnYvn374cOHe3l5WVlZ1b3rw/Xr193d3QEgNDR08ODBZOPPSVBWVtarV68XL14MHDjw5s2b2FUCiR4mAUK/VlhYGBoaSjrflZWVkY0GBgak812fPn3q0vlu/vz5e/fubd68eVJSEhmk9HMSzJkz58CBA3p6eklJSS1atBDmz4TQr2ESIMQH6XzHYrGuX79evfPdsGHDvLy8HBwcfrOkcHl5uY2NTVJS0oABA27duiUnJ1cjCUJCQoYNGwYAN2/edHFxEckPhFBNmAQI1VV5eXlERASLxQoJCeF1vtPR0SGd7wYMGPDLzndv3rzp2bNnaWnpli1bli1bVj0JyLDR/Pz8xYsXb9++XZQ/C0LVYRIgVG+k8x2Lxbpy5UpOTg7ZyOt8N2jQIFVV1er7Hz9+fOrUqQoKCvfv3zc1NSVJUFhYOHTo0Ojo6J49ez548AC7SiAaYRIg1HAcDic2NpZMYOZ1vlNVVSWd79zc3Mi0AIqiRo8effHixfbt28fGxpK21X/99deGDRvU1NQSExNNTEzo/DGQzMMkQEgAuFxuXFwciYT09HSykdf5zt3dncFgWFhYpKenjxw58uLFiwAgJyfH5XJPnz49YcIEWmtHCJMAIYGiKOrp06ekp8X79+/JRgUFhf79+1tYWGzfvp03WQEAxo4de/bsWXFYkBnJOEwChISCoqiXL1+Su4SXL1+SjQzG//7FtWvXLikpSVNTk74aEfoPJgFCQkc637FYrKdPn/I24mJkSHxgEiAkOmlpaevXrz916hQA/PjxA9vMITGBSYCQSFEU9fHjRx0dHU1NTXxDgMQEJgFCCMk67HWFEEKyDpMAIYRkHSYBQuLF1dW1adOm3759q76xsLCwZcuWvXr14nK5dBWGpBgmAULi5eDBg5WVlQsXLqy+cdWqVbm5uUePHsXVC5Aw4N8qhMSLkZHR2rVrz58/Hx4eTrbEx8cfPnx40aJF5ubm9NaGpBWOHUJI7HA4nJ49e5aUlLx8+VJRUdHa2rqgoODly5c1WpwiJCgKdBeAEKpJQUHh6NGjtra2GzZs0NPTe/r0aVhYGMYAEh68J0BITM2dO/fIkSPKysru7u4BAQF0l4OkGSYBQmLqx48fHTt2LC0tfffunb6+Pt3lIGmGT4cQElOampodO3bMzc3FGEDChmOHEEJI1mESIISQrMMkQAghWYdJgBBCsg6TACGEZB2OIkUIIVmH9wQIISTrMAkQQkjWYRIghJCswyRACCFZh0mAEEKyDpMAIYRkHSYBQgjJOkwChBCSdZgECCEk6zAJEEJI1mESIISQrMMkQAghWYdJgBBCsu7/AaFMZdRLR1aJAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.98, 0.5), 'S': (0.61, 1.0), 'K': (0.02, 0.81), 'M': (0.02, 0.19), 'Y': (0.61, 0.0), 'G': (0.32, 0.4), 'Q': (0.61, 0.28), 'V': (0.15, 0.48)} radius = 0.0 connection_dict = {'C': ['S', 'Y', 'G'], 'S': ['C', 'K', 'Q', 'Y'], 'K': ['S', 'M', 'G', 'Y'], 'M': ['K', 'Y', 'G', 'Q', 'V'], 'Y': ['M', 'C', 'G', 'K', 'Q', 'S'], 'G': ['K', 'Y', 'M', 'C', 'V', 'Q'], 'Q': ['Y', 'M', 'S', 'V', 'G'], 'V': ['G', 'Q', 'M']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.51, 0.53), 'W': (0.4, 0.01), 'Q': (0.0, 0.7), 'G': (0.24, 0.99), 'C': (1.0, 0.74)} radius = 0.5348866714211497 # 连接关系 connection_dict = {'O': ['G'], 'W': ['Q', 'C'], 'Q': ['W', 'G'], 'G': ['O', 'Q'], 'C': ['W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.32, 0.5), 'L': (0.5, 1.0), 'D': (0.68, 0.5), 'G': (0.5, 0.0), 'C': (0.59, 0.75), 'I': (0.55, 0.38), 'A': (0.64, 0.62)} radius = 0.0 connection_dict = {'J': ['L', 'G'], 'L': ['J', 'D', 'C'], 'D': ['L', 'G', 'C', 'A'], 'G': ['J', 'D', 'C', 'I'], 'C': ['D', 'L', 'G', 'I', 'A'], 'A': ['I', 'D', 'C'], 'I': ['G', 'C', 'A']}
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", 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<image>
# 顶点坐标 coordinates = {'F': (0.31, 0.34), 'H': (0.69, 0.34), 'D': (1.0, 0.66), 'C': (0.0, 0.66), 'K': (0.34, 0.5), 'J': (0.5, 0.34), 'E': (0.53, 0.42)} radius = 0.0 connection_dict = {'F': ['H', 'C', 'J'], 'H': ['F', 'D', 'C', 'K', 'J', 'E'], 'D': ['H', 'C'], 'C': ['F', 'D', 'H', 'K'], 'K': ['H', 'C', 'J', 'E'], 'J': ['F', 'H', 'K', 'E'], 'E': ['H', 'K', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.41, 0.29), 'A': (1.0, 0.29), 'G': (0.0, 0.71), 'K': (0.27, 0.44), 'E': (0.5, 0.5)} radius = 0.0 connection_dict = {'C': ['A', 'G', 'K'], 'A': ['C', 'G', 'K', 'E'], 'G': ['C', 'A', 'K', 'E'], 'K': ['G', 'C', 'A', 'E'], 'E': ['A', 'G', 'K']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.52, 0.63), 'C': (0.41, 0.09), 'M': (0.0, 0.81), 'A': (0.21, 0.45), 'X': (1.0, 0.91)} radius = 0.5513143051259362 # 连接关系 connection_dict = {'O': [], 'C': ['M', 'A'], 'M': ['C', 'A'], 'X': ['A'], 'A': ['X', 'M', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.86, 0.75), 'E': (0.71, 0.0), 'X': (0.14, 1.0), 'Z': (0.79, 0.38), 'C': (0.43, 0.49)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['Z', 'E'], 'E': ['X', 'Z', 'O', 'C'], 'X': ['E', 'Z', 'C'], 'Z': ['O', 'E', 'X', 'C'], 'C': ['X', 'E', 'Z']}
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w5syZrl271qtXz8jIqEePHleuXKERUzFhEyi7kpKSCxcujB079ptJcBMnTqzFJLjg4GAAOHHixDfLi4uLdXR0hgwZIr7g3yEQCMh1XgDAZrO3bdsmiWdZsmTJ8uXL8/PzJbHy2tm3bx8AqKurx8bG0s5SeykpKQBgaWlJrvf+pgn27NkDAK6urn5+fjt37iQnrXG5XEphFQ02gZIqLCw8c+bMyJEjdXR0RAVgZmY2ffr0mzdv1nQms0hJSYment6AAQO+WR4UFAQAwcHBdQ7+Q/Hx8Q0aNCAvxNTUND4+XhLPkpiYqKamBgAydZBWKBQOHToUAFq1alVUVEQ7Ti2VlZWRQ/rR0dH/boIWLVrY29uLLlDPz8/X1dUdOnSo9HMqJGwC5ZKbmxsQEDBs2DBNTU1RAVhYWMydOzcyMlIs4459fHxUVVW/GaM/ePBgPT09sd9sQGT79u2iywU4HI7k5jaTS5RdXFwktP5a+/LlS6NGjQBg4sSJtLPU1XeboEGDBq6urpWXmJmZeXh4SDWZ4sImUArZ2dn+/v4uLi7k91nCyspq8eLFT548Ee8goPDwcADYu3evaElOTo6ampq3t7cYn0WkuLiYXGNFdo9IdLPjyZMnAMBiseLi4iT3LLV2+/ZtcsRYom+CFHy3CTw8PFRUVPbs2ZOSkvLmzZvp06draWk9ePCAUkZFg02gyD59+rR///7evXtXngTXtm3blStXPn/+XEKT4Ph8vrm5+S+//CJaQm7reP36dbE/V2RkpOhEplatWkn0fl5CoZDc0EZClSYWK1asAAB9ff3k5GTaWWrvu02QmZnZp08f0bexiYkJ1oAYKWMTHDt2TPT9pKKi0rBhQx8fn/T0dNq5xCY1NXXnzp2//vpr5XMKbW1t169f/+bNGykEICfyp6SkkP/t0aNHgwYN+DUd5lCV2bNni17d3Llzxbvyf7ty5QoAaGhopKamSvq5ao3H4/3yyy8A0K1bN/mdQvHdJigsLJw+fbqPj8/Zs2ePHj3aoUMHMzOzd+/eUcqoaJS3CdauXRsYGHj48OGJEyeqqKhYWVmVlpbSjlYn7969++OPP+zt7aGSrl27btmyRcpzyp4+fQoAGzZsYBgmLS2NxWLNmTNHjOvPzMxs2bIleYG6urqR1b8yuLaEQqGdnR0ALFy4UNLPVUcpKSnkNLDly5fTzlJL320CFxeXwYMHi/43JyfHyMho1KhR0g6noJS3CaKjo0VLFi9eDABnzpyhmKrWXr16tXbt2o4dO4o+/VksVvfu3elOgmvdunX79u0ZhtmyZQsAPHnyRFxrDg4OFl0u4OTkJLX+fv/+/ZQpU75W8xJkqv766y/ybXDr1i3aWWrj302QlJQEAIcOHar8sKFDhzZq1Eja4RSUxO+yJBfIhDLy3SYXGIZ5/vw5mQTXrl27VatW/f333yoqKn379vXz8/v06dO/p0RImZeX18uXL//++++goCBy/l/d1ykUCjkczujRoysqKths9vbt2yMjIyufBCVRTZo0+fPPP8lFTzJu5MiRkyZNYhhm7NixX758oR1HDDIzMwFAIBBUXsjj8fh8PqVEigabAADg/fv3ACD7P+QMw5BJcNbW1p06ddqwYUN8fLyamtqgQYOOHDmSmZkZERExderUWt+TXYy8vLwAYNWqVc+fPyd/rqM3b96Ym5ufP38eAMzMzF6/fj1//vy6r7Y6srOzpfNEYrRr167WrVt/+vTJ19eXkf+JMtbW1mw2m2y1kyXp6emRkZGdOnWiG0xxUN0ioYPsHbpx40Z2dnZaWtq5c+fq16+voaEh/Snz1UQmwc2ePZvctpDQ1NR0c3M7efJkXl4e7YDf5+joSKLW/bDetm3bRJcLjBw5UnKXC/xbdna2gYHByJEjZfZ9/pHnz5+T3WiVz+iVcXv37l23bt20adMAYMSIEevWrVu3bh155ydNmgQAzs7Oe/fu3bhxY+PGjVVUVO7evUs7soJQ3iaorGnTppI4x7GOeDwe+R1fdOksAOjq6np4ePz111+FhYW0A1Zh//79AODg4FCXlRQXF5OTYQBAXV397Nmz4opXTXPnzgUAGxsbadaPuJAJDRoaGs+fP6edpVqaNGny799WyUloPB5v7969tra2urq6urq6zs7OcnoURDYpbxPs378/IiLi3LlzgwYN0tXVvXPnDu1c/ygrKwsNDZ0wYYKRkZHoh6FevXre3t4hISHyfoJTjdy9e1c0DKN169bSvxFCcnIyuRZPBn9RqA6hUDh48GDy7snvFAokBcrbBKJzh/h8frdu3Ro2bEj3t+ySkpLz5897eXnp6+uLCsDExGTSpElhYWE1nQSnAGbNmkXeBBaLNX/+/FqsQSBgVq9majtCiWEYZsyYMQDQt2/f2q+CtuzsbHNzcwCYPHky7SxIdmETMAzD3L59GwA2bdok/TAFBQXBwcEjR47U1tYWFYC5ufn06dNv3bpV60lwcu3z588tWrQgb4Wenl5UVFTt1rN0KQPA6Ogw167V5svJVREA8OzZs9oFkBE3b94k1xj+9ddftLMgGYVN8A8HB4cGDRpIbd/L169fT5w4MXToUDJZnrC0tJw3b15UVJQ87pIWl6CgINFwpB49etT6X4THY8zNGYB//uvXj6nR57lQKCSzDby8vGoXQKYsW7aM7GN8//497SxIFmET/IPcEtbPz0+iT52VlXX48GEXF5fKN7qytraWxCQ4uSMQCIYPH07eEzabvWvXrrqs7eBBBoAxNmamTmXU1P7pg7FjmWp+En769Mnc3FxdXV00M0OuVVRUdOvWDQAcHR2Vc0MT/Rw2wT8EAoGVlZWVlZXYx+MwDPPx48d9+/Y5OzuLToUEAHJFWFxcnJIXAMMwaWlpR48eFR0hNzMzS0hIqMsKi4oYMzMGgCF38UpKYjw9/ykDdXVmwQImJ6c6KymKiIioSwyZkpycTA5BrVy5knYWJHOUsQmk5v379zt27PhmElynTp2kNglOlpWVlWVnZyclJa1evbryKYMeHh513zm2di0DwDRvzlQ+0B4dzTg7/9MHBgbMli2MMp2HxTD/f0c5Fot1+/Zt2lmQbME72otfYmIil8s9d+6c6JAjAHTr1o3D4YwYMaJ58+YUs4kXwzBlZWUFBQWFhYWFhYU/+sN3l/N4vO+uMy0trfIFdLWQlQVWVlBUBMHB4OHxTWC4dg0WL4YXLwAALCxg/Xrw8oJKQ7uhrKwsJCTEzs5u586d4eHh6enpANC0aVNnZ+cpU6ZUnu8kjyZOnHj06NFGjRrFxcVVvmE1UnLYBOLBMMzr16+5XC6Xy/3777/JQjIJjhRAHT/dJIphmOLi4p98lP/kD9+Mgqm7fv36Xbp0qS7ThGbOhP37wc4OHj8G9vfGqQgEcPIkrFgB6ekAAB07wubNMGAAkC23rVu3Llq0SEVFRUdHx8vLy8bGhs1mx8fHnz9/PjU1NSUl5btXP8mL4uLiLl26vH37dtiwYRcuXKi8tYqUGTZBnTAM8/z5c7IF8PbtW7JQRUXF2dnZ3d19+PDhlS8PljShUFhUVFT9D3HR/5ILKery1Lq6unp6evr6+np6ev/+w3eX//7770eOHPnu2tTV1X/77bd169axv/tB/lPv3kHbtsDnw61b4Oz8s0eWlsLevbBxI+TnAwD06QNbtkDTpl+bNm1aWFjYsGHDp0+fkjPxCT6ff+DAATc3N4pz/cQiNjaW3L1g//7906dPpx0HyQRsgtoQCoVPnjwhWwApKSlkobq6er9+/TgcztChQ+uy3c3n82v6izn5Q3FxcV1eFJvN1vt/P/pM/+4fdHV1a/SR/enTpx49epDJr/r6+jNmzNiyZYtAIGCxWLa2tmQuAvmr7du3k2kz1TdqFJw9C4MGQWhotR6fkwMbN8K+fVBRAQDQuvVv8fHbAeD+/fuiuUmKZ/fu3XPnztXQ0IiOju7QoQPtOIg+bIIaEAgE9+/fJwXw8eNHslBLS8vFxYXD4QwePJjcIYSoqKio3f6W0tLSuoRUVVWt6Uc5+YO2trYU9hWcPHnS19eXHCTo1atXWFiYpqZmenp6YmKitbV148aNP3z4MHr06IcPH5LHN2rU6MiRIwMGDKjOyh8/hm7dgMWCuDio0efb+/ewYgWcOvUeoBVAhalpw8zMjzV+bfKDYZghQ4aEhoa2bds2Ojq68lWNSDlhE1Tt/fv3+/fvT0lJuXnzZl5eHlmorq7eokWLpk2b1q9fv6Sk5N+f6RXkl8za0tDQqMWv5/r6+hoaGrK585fP53M4nEuXLgGAiorKrl27Zs6c+aMHR0dHe3l5vXv3jvxv+/btT58+3b59+5+sn2GgVy+4dw8mTICjR2uT0NV13NWrJwFg2LDhFy9eEC3Py8sTzcHX0dHR0tKqzdplTHZ2dseOHTMyMqZMmUJuNI2UGTZBFfLz842MjIRCYe2+XEtLqxa/nuvp6Yluy6UYXr586ezsTO6aYm5uHhkZaWVlVeVXXbhwYerUqVlZWeR/e/Xqdfr06R/dfeHyZRg6FDQ14d07qMXh+djY2C5dupAfh7FjxwYGBor+ytbWNi4ujvx569atv/32W43XLpNu3rzZr18/hmHOnTvH4XBox0E0qVb9EOWmr69PfsVmsVjm5ubm5ub6+vrV/EzX1dWtfC2x0tq0adOKFStIm44ZMyYwMLCaxxXc3Nzc3Nx27969fPny4uLiO3fuNGrUyMPDw9/f/5sdGnw+LFkCADBnTm1qgLC3t7ewsOByuUVFRZWXHzx4sLCwMDMzc+zYsbVctUzq06fP4sWL//jjj0mTJtnb21taWtJOhOiR/iUMcqdNmzbkvfLw8MDrgWuksLBQdN9KDQ2Nixcv1m49AoFg3rx5olpVU1NbtGhR5QvQ/P0ZAMbIiMnNrX1aoVBYWFhobm5ubW39778lpwZs3bq19k8geyoqKhwcHADAyckJp1AoM2yCqpGTK1RUVADg6NGjtOPIjRs3boh+c2/fvn1OdSY8/FRhYaG7u7voKIienh6ZE1VczDRsyAAwO3aIITY5W+nx48ffLFfIJmAYJikpSU9PDwBWr15NOwuiBpugaqQJJk6cCADa2trx8fG0E8mBqVOnks9rFou1ZMkSMa45LS3NyclJtFFrbm7u7R0KwDRtypSV1WaFZ86cWblyZUFBAfnfhIQEbW3tdu3aZWRkVH5YcnKyQjYBwzBBQUEAwGaz8WaQSguboGqkCa5fv07GFNva2pbV7iNHOXz8+FE0UaNevXqPHj2SxLPExMS0bt260m7ONhs2xNZiPaWlpeSa4cof8RcvXtTS0qpXr9706dMPHjz4559/Ll682MLCgs1mnz59WmyvQZaMHz8eABo3blz3TTckj7AJqkaaICIi4uPHjyYmJgAwd+5c2qFk1IkTJ0R783v37i3pW61dunRJX/+/pxL16NHj48ePNVrD9u3bAaBRo0bFxcWVlycmJk6bNs3a2lpTU1NLS6t169ZTp06Vl7sB10JhYSG5O5CbmxseDFNC2ARVEzUBwzBXrlwhHzpXrlyhnUu28Hg8V1dX8uaoqKjs379fak89d+4+LS1d0c6oUaNGffOx/iNfv341NDQEgCNHjkg6pOyLiYkh9wiS9F06kAzCJqha5SZgGGbOnDkAYGJi8unTJ7rBZEflwZaNGjVKTk6WcgCBQPDbb7+JbnampqY2f/78KqdbL1q0CADatWsniZtSyCOyhaSpqfnixQvaWZBUYRNU7ZsmKCsrs7W1BYA+ffoo820mRdatWyc6n2fcuHEU35Pi4uLRo0eLwujq6u7Zs+dHD05NTSW3DsXNOxGBQODi4kLasaSkhHYcJD3YBFX7pgkYhnnz5g05P/KPP/6gGIy6wsLCLl26kI9dTU3NkJAQ2okYhmE+fvzYs2dP0cGDBg0afDeYr68vAPTs2RN3i1eWkZFBBuhOmzaNdhYkPdgEVft3EzAMQyYqq6qqSujcGNkXHh4uulygQ4cOuXW5pksC4uLi2rZtK+qDVq1axcTEVH5ASkrK2LFj/33dALp+/Tp5086fP087C5ISbIKqfbcJhEKhh4cHADRr1iwvL49WNioEAsHkyZNFR2iXLl1KO9EPXb16tfI9BhwdHT98+EA7lBxYuHAhABgaGuLbpSSwCar23SZgGCY3N7dp06YA4OnpqTx7GNLS0sirBgADA4MnT57QTlQ1Pz8/chktqa7hw4eTm/OgHykvL7ezswOA7t274+F0ZVDje0IhEQMDg6CgIBUVldOnTwcEBNCOUxs1nZx97NixZs2avX//HgD69u2bmZkpGisky6ZOnZqXl7dkyRJ1dXWGYS5evKivr0+ufKYdTUapq6ufPn1aV1c3MjJyw4YNtOMgyaNdRXLgR9sEBPk50dHRefv2rZSD1dGlS4yFBfPyZbUezOPxBg4cSL5nVFRU/vzzTwmnk4jS0lIvLy/RyUX29va3b9+mHUp2kdHcbDY7MjKSdhYkWdgEVft5E/D5fGdnZwDo1KmTHE2hEAqZgQMZAKZ9e6bK0wVjY2ONjIzIp2fjxo3fv38vlYySkpGR4evrq6v7z8Vorq6uePr8j4wbNw4ALCwsvn79SjsLkiBsgqr9vAkYhklPTyfXVc2fP1+aweooI4Np0IABYKZP/9nD1qxZI/ol2sfHR2EuocjIyJgxYwaZjcFmsydMmJCWlkY7lMwpKCiwtrYGAA6HozwHw5QQNkHVqmwChmHITRkB4OrVq1ILVnfXrzMADABz4cJ3/jY/P79z587kdWlqal6+fFna+SQvISHB3d1d9BqXLFmibGeCVSk6Opr05cGDB2lnQZKCTVC16jQBwzCzZs0CgPr163/+/Fk6wcRi4UIGgDE0ZL45XfDq1auiG/ba2NjI2uUC4vXw4cPu3buTF2tsbLxz50452tEnBVu3biVN+bKah5WQvMEmqFo1m6C0tLRjx44A0K9fPznahVJeztjZMQBMjx4MOV1QIBBMmDCBfCyyWKwVK1bQzigNQqHw0qVLovvTNWvWLCgoSI7+HSVKIBD0798fADp06IBTKBQSNkHVqtkEDMO8fv2a/B69ZcsWKQQTl3fvGF1dBoBZu5ZJTU0l8/oBwMDAIDo6mnY6qeLxeIcPHxZdjNalS5ebN2/SDiUTPn/+bGpqCgAzZsygnQWJHzZB1arfBAzDHD58GABUVVXl4pIrkcBABoBhsQQqKj3Ih2C/fv0kfXcBmVVUVLR+/XrRxWguLi5xcXG0Q9EXFhZG3pBa348aySxsgqrVqAmEQuHIkSMBwMrKKj8/X9LZxIXH45mbRwAwAO9VVEwOHz5MOxF9WVlZs2bNIgdLWSyWj49Pamoq7VCULViwAACMjIzwPCsFg01QtRo1AcMwubm5ZAfL2LFjJRpMXGJiYgwNDQF0ARIAmIEDi/F0QZF3796NGjWK/C6soaGxaNEiZT6zvry8nEyf7dmzJ06hUCTYBFWraRMwDHP//n0VFRUACAgIkFwwsVi5cqXocoHBg9eoqgoBmEOHaMeSMU+ePOnVqxd5lwwNDbdt21ZaWko7FB0JCQk6OjoAsG7dOtpZkNhgE1StFk3AMMy6desAQFdXNyEhQULB6ig/P9/GxoZ8umlpaZErIbZuZQAYLS3m1Sva+WSMUCgMDQ1t164deceaNGkSGBionCcXnThxggwdiYqKop0FiQc2QdVq1wR8Pp/cL6VLly4yeOg1NDRUdLmAra2t6JCGQMD0788AMB06VD2FQgnx+fyjR482atRI9NaFh4fTDiVtQqHQy8sLACwtLRX7QhPlgU1Qtdo1AcMwaWlpZFzPb7/9JolgtSMQCHx8fESXC6xevfqbB3z+zJiaMgAMni74I8XFxZs2bdLX1xedZ/Xs2TPaoaQqPz+/efPmADBy5EicQqEAsAmqVusmYBjm4sWL5MPi2rVrYg9WC+/fv7ewsBDt746Njf3uw8LC/plCgacL/kR2dvbcuXPV1NTI+zl27Fh5n81XI48fPyYnVuGZZgoAm6BqdWkChmFmzJgBAKamphkZGeINVlN//vknOY4NAAMGDODxeD958IIFDABjZMTg6YI/l5SU5OnpSd5VdXX1BQsW5OTk0A4lJZs3byYHmV6/fk07C6oTbIKq1bEJSkpKyBoGDBhA6wBjeXl53759yaeVqqqqv79/Nb6E6dKFAWBkac+W7Hr69Gnv3r1F12Zv2bJFGU4uEggE5PuqY8eOyvB6FRg2QdXq2AQMw7x69Uq0D6GyxYsXizHnj0RHRxsYGIjOeKn+5VEJCcyGDQyeNV5NQqEwLCyMzJ4CAAsLixMnTij8SfefPn2qX78+AMyaNYt2FlR72ARVq3sTMAxDDtKy2ezff/898P/9aDe9GK1YsUJ0ucDEiROV86xHaeLz+cePHxcdjOnYsWNYWJhiH1MNDQ0lL/bSpUu0s6Bawiaomlia4OjRo+SnxdrauqCgQFzZfiI3N5ckJ3tyZeSQtZIoKSnZsmVLvXr1yPvfu3fvp0+f0g4lQfPmzQMAY2Pj9PR02llQbeAd7aWE/GLeoEGDxMTEmTNnSvrprly5Ym5u/uLFCwDo0qVLRkbGgAEDJP2kSERLS2vhwoXJyckLFixQV1e/deuWnZ3dmDFjUlJSaEeTiE2bNnXq1CknJ2fcuHECgYB2HFRj2ARStWTJEhaLFRAQ4Ofn9+XLF0k8hVAo9Pb2HjJkSFlZGYvFWrNmzdOnT0VnviNpMjIy2rZt29u3b8eOHctisU6fPt2qVat58+bl5OTQjiZmGhoawcHBOjo6t2/fJicUITlDe6NEDohl79CxY8ek8OYnJyeLLn81MjKSwnEIVE3Pnj3r168f+afR19fftGmT4t3yhXyTq6ioPHjwgHYWVDO4TSBV+/fvv3btGqmWli1bVlRUiHHlBw8ebNGixcePHwFg0KBBmZmZtra2Ylw/qotOnTqFh4eHh4fb2toWFBQsXbq0RYsWx44dU6R9KT4+Pp6engKBwNPTMy8vj3YcVBO0q0gOiHGbgNwC7MOHD4aGhgCwaNEisSQsLy8Xncyuqqp69OhRsawWSYJAIAgMDBTdGK59+/ZXrlxRmJOL8vLymjVrBgAeHh4K86KUAW4TUGBhYXHkyBEA2LJlS3h4eB3XduVKtLGx6a1btwCgadOmKSkporsQIxnEZrPHjh0bHx+/bds2Q0PDly9fDh48uHfv3tHR0bSjiUG9evVOnz6tqqp65syZ7+4RRbIJm4AONze3adOmAYC3t3dWVlat1+Pjs3TIkK5FRfkAMGXKlJSUlMaNG4stJZIYTU3NBQsWJCUlLVy4UEND486dOw4ODh4eHklJSbSj1VXXrl3JSPZZs2bFx8fTjoOqh/ZGiRwQ+94hoqSkhAy7d3FxqcUFXzk5Oe3bt///f0btXr3CcVtcTqWmpvr4+JDzjNXU1GbNmpWVlUU7VJ0IBII+ffoAgI2NDU6hkAu4TUCNlpZWcHCwpqbmtWvXdu/eXaOvDQkJadiw4cuXLwGgTRs7Fivzzp1+gYGSCYokzNLS8vjx48+fP3dxceHxeHv37rWystqwYUNJSQntaLXEZrMDAgJMTEzi4uKWLFlCOw6qBtpVJAcktE1A+Pn5AYCamlpMTEx11iMQCMaMGUP+7Vgs1vr16xmG2bCBAWB0dJi3b+uSEdF348aNzp07k3/fhg0bHj58+OcjY2XZlStXyAu5fPky7SyoCtgEVRNLE/yIUCh0c3MDgBYtWhQWFv78wYmJiQ0bNiQ/XcbGxi9evCDL+XzG2ZkBYDp3ZmTv9mioZgQCQVBQUNOmTck/dNu2bUNCQuT0PJw5c+YAgImJycePH2lnQT+DTVA1iTYBwzA5OTnkMO/48eN/8rC9e/eK7i4wePDgb35VTE9njI0ZAGbBAgnFRFJVVla2c+dOcs87AOjevfujR49oh6qxsrIyclFL7969FX4sq1zDJqiapJuAYZi7d++y2WwAOHXq1L//trS0tFevXuQTQU1N7cSJE99dyaVL/9xoLCxMckmRVOXm5i5ZskRTU5P867u7uyckJNAOVTNv3rzR1tYGgE2bNtHOgn4Im6BqUmgChmFWr14NAHp6eklJSZWXP3r0SDQ1qHnz5j/fyp45kwFgTE2Zz58lGhZJVVpa2oQJE8jvCqqqqjNmzMjMzKQdqgbI1TMqKioPHz6knQV9HzZB1aTTBDwez8nJCQAcHBwqKirIwkWLFonuLjB16tQqV1JaynTowAAw/fszeCcCBfPixQtXV1fyzaCrq/v7779XeWBJRgiFQg8PDwBo1qxZXl4e7TjoO7AJqiadJmAYJjU1ldxcbMmSJTk5OW3btiU/9tra2jdu3KjmSl69YrS0GABm61aJhkV03L59297ennxjmJmZ/fnnn3JxclFubi45Bj569Gg5Pfqt2LAJqia1JmAY5ty5c6LjAeQPDg4ONf3V79AhBoBRVWWePJFQTESTUCg8c+ZM8+bNyXdI69atL1y4IPsfrw8ePCCnPBw7dox2FvQtbIKqSbMJGIb55ZdfRJcLbNy4sRZrEAoZd3cGgLGyYqRyezREQXl5+Z49e0xMTMh3i6Oj4/3792mHqsKGDRsAQEdHJz4+nnYW9D+wCaom5SZITU0lP9uGhoa1PvHu61fG0pIBYMaNE286JFvy8/OXL1+upaVFvmfc3Nxk+UOWz+c7OzsDQKdOncrKymjHQf+F0yZkjqWl5c6dOwEgNzfX3d29disxNISgIGCzITAQcAqFAtPX11+/fv27d+8mTZrEZrMvXLjQrl27adOmZWRk0I72HSoqKoGBgcbGxrGxsUuXLqUdB1VCu4rkgJS3CQhyrgUABAUF1Xola9cyAIy2NlPt481Ijr169Wro0KHk20ZHR2f16tUFMrlz8NKlSyRkaGgo7SzoH9gEVaPSBAKBwMzMDADU1NQ+1/bqAB6PadnynzKQkxMOUV3du3eva9eu5KPW1NT0wIEDopOSZcesWbMAoH79+p8+faKdBTEM7h2SWWw2+969e2w2m8fj9e3btxZrKCgAHx9ISAAAUFeHjx/FnBDJpu7duz98+PDs2bPW1tZZWVnTp09v3749l8tlGIZ2tP/asmVLx44ds7Ozvb29hUIh7TgI71Qjw1q0aLFjxw4AePXqVXBwcI2+9vFjsLWFoCBQUYE5cyAzE1q1kkxKJHtYLJa7u/vr16/37dtXv379hIQEd3d3R0fHyMhI2tH+oampGRwcrKWldePGjW3bttGOg/A4QTVQ2TsksnLlSgDQ19dPTk6uzuMFAuaPPxhVVQaAadKEkfkTC5FkFRQUrFq1ikz+AYChQ4e+fv2adqh/HD58GABUVVUfP35MO4uywyaoGt0m4PF4jo6OANCqVavi4uKfP/jTJ6Zv33/m0I0axeTmSiUiknmfPn2aMmUKubCLzWZPnjxZFsZEC4XCkSNHAkDz5s3z8/Npx1Fq2ARVo9sEDMO8f/9eXV0dABwdHX/ysNBQxsTkn+PD/v6MzF9ziqTtzZs3w4cPJxsH2traK1asoP75m5ub26RJEwAYM2aM7F8mrcCwCapGvQkYhpk3bx75Ad76vXFCZWXM3Ln/bArY2DAys/WPZFFUVJToOvb69evv2bOnnOrtje7fv082Vn40bh1JATZB1WShCRiGad26Ndm0f/PmTeXl8fGMre0/NTB7NoP3D0dVEgqF58+fb9myJekDKyurM2fOUPyVfN26dQCgo6PzFu+/Sgk2QdVkpAmys7PJPiJTU1OBQMAwjFDIHD3KaGszAIyxMYM3i0U1UlFR4efn16BBA9IHDg4Od+7coZKEz+f37NkTADp37kx3A0Vp4VmkcsPExCQwMBAAsrKyRo0alZ8PY8aAry+UlEDv3vD33zB4MO2ISK6oqalNnTo1MTFxzZo1Ojo6T5486dWr15AhQ169eiXlJCoqKidPnjQyMnr27NmyZcuk/OwIAM8irQYZ2SYgRJOIGjS4CcCoqDCbNjF4g1hURxkZGdOnT1dVVQUANpvt6+ubnp4u5QwXL14k39theP9VqcMmqJpMNYFAIDAxsQQAgNaWlkV4N0AkRm/fvuVwOOTjWEtLa+nSpVK+xdiMGTMAwNTUtNYTVlDt4N4hOcNms6OiYtjshgDxvXrN7daNdiCkQFq2bHnu3LkHDx44OTmVlpZu2rTJyspq9+7d5eXl0gmwdevWDh06ZGVl+fj44BQKacImkD+tWpn89ddJFosVEOC/fPly2nGQovnll1/u3bsXEhLSunXrnJycuXPntmnTJjg4WAofzVpaWmQKRXh4OBm1gqQDm0AucTjOEydOBICNGzdGRUXRjoMUDYvFGjp06IsXLw4dOmRmZpaSkuLp6eng4HDr1i1JP3Xbtm137doFAEuXLo2Ojpb00yECm0Be7d69W1dXFwAGDhxYVlZGOw5SQKqqqpMnT05MTFy3bp2enl5MTEyfPn0GDRr04sULiT7v5MmTORwOn8/39PQsLCyU6HMhAptAXmlra4eFhQFAUVFRv379aMdBCktHR2fFihVJSUmzZs1SVVUNCwuzsbGZMGFCWlqahJ6RxWIdPnzYwsIiKSmJHENGkoZNIMecnJxmz54NAFFRUWSDGiEJIXMp3rx5M2rUKIZhjh8/3rJlyyVLluTl5Uni6QwNDYOCgthsdmBgYCDef1UKaJ+8JAdk6izSfyMzA9hstizfyhwpksePH5NLggHAyMho+/btEro9/e+//w4Aurq67969k8T6kQhuE8i9yMhIdXV1oVA4ePBgRpbuS4UUlYODw+3bt69cudKuXbuvX78uWLCgVatWp06dEvvJRcuXL+/Ro0dRUZGnp2dFRYV4V44qwyaQe6ampgEBASoqKomJiQcOHKAdBykFFovl6uoaFxd35MiRhg0bpqamjh071s7O7saNG2J8FjKFwtDQ8OnTpytWrBDjmtE3sAkUgYeHBzn5esGCBX///TftOEhZqKio+Pr6vnv3buPGjfr6+rGxsf369RswYMDz58/F9RQWFhZHjhwBgK1bt4aHh4trtegb2AQKYtasWa6uruXl5f379//y5QvtOEiJaGtrL126NCkpac6cOWpqauHh4Z07d/b29k5NTRXL+t3c3KZNmwYA3t7emZmZYlkn+gY2gYJgsVjHjh3T1NTMzMzs3r077ThI6ZiYmOzatSs+Pt7T05NhmMDAwFatWi1cuDA3N7fuK9++fXu7du0yMzPHjx+PUygkAZtAcdSvX3/t2rUAEB8fv2DBAtpxkDJq3rx5UFBQdHS0s7NzeXn5tm3bmjdvvnXr1jpe/EimUGhqal67dg1PmJYI2icvyQEZP4v0G6IbE0ZFRdHOgpSXUCi8evUq+dkBAEtLyxMnTvDrNj/dz88PANTU1J4+fSqunIjAbQJFc+PGDR0dHcApFIgqFos1cODA2NjYY8eONW7c+MOHDz4+Pl26dLl+/TpT23Odp0yZ4ubmxuPxRo8ejVMoxAubQNFoa2tfvXoVAAoLC/v37087DlJqKioq48ePT0hI2Lx5c7169eLi4lxcXPr16/fs2bNarI3FYvn7+zdu3DgxMXHWrFliT6vMsAkUUI8ePWbOnAkAkZGRISEhtOMgZaelpbVo0aKkpKT58+erq6vfvHmzS5cuXl5eKSkpNV2VkZHRqVOn2Gz2iRMnTp06JYm0ygmbQDHt3bu3c+fOADBz5sycnBzacRACY2Pj7du3v3371svLCwCCgoJat249f/78mn5/9ujRY+XKlQAwbdq0pKQkiWRVPtgECuvu3bstW7ZMT0+fNGlSrffMIiReTZs2PXnyZExMTN++fSsqKnbu3GllZbV58+bS0tLqr2TFihVOTk6FhYU4hUJcsAkUlq6ubnBwsLq6+sWLFydMmEA7DkL/1blz54iIiOvXr9vY2OTn5y9ZsqRly5bHjh0TCATV+XJVVdVTp04ZGBhER0evWrVK0mmVATaBIuvUqRO5OPPEiRNcLpd2HIT+R//+/Z89exYQEGBpaZmenu7r62tra3v16tXqbMJaWlr6+/sDwObNmyMiIiQfVsFhEyi4HTt21K9fHwC8vLxwCgWSNWw2e9y4cW/fvt26dauhoeHLly9dXV379Onz9OnTKr+Ww+FMmTIFALy9vbOysiQfVpFhEyg4Npt9+/ZtNptdXl4umimPkEzR1NT87bffkpKSFi5cqKGhcfv2bXt7e09Pz+Tk5J9/4Y4dO9q2bZuRkYFTKOoIm0DxtWvXbtOmTQDw+vXrRYsW0Y6D0PcZGhpu2bIlISHB29ubxWIFBwe3bt16zpw5P9mW1dbWDg4O1tDQCAsL27NnjzTTKhrK1zjLA/maNvEjXbt2BQAWi/XgwQPaWRCqwvPnzwcMGEA+o/T19Tds2FBcXPyjB+/fvx8A1NTUYmJipBlSkeA2gbK4deuWjo4OwzCenp58Pp92HIR+xsbG5tq1axEREZ06dSooKFi+fHmLFi2OHDny3W/dadOmDRs2jMfjeXp6FhUVST+tAsAmUBba2tqXL1/W1NRMTU3dsGED7TgIVa1v375Pnz49depU06ZNP336NGnSJBsbmytXrjD/e3IRi8U6cuRIo0aNEhISZs+eTSutXMMmUCLOzs7k9k9r166NjIykHQehqrHZ7DFjxsTHx+/YscPIyOj169dDhgzp1avX48ePKz/M2Nj41KlT5C4dp0+fppVWfmETKJcxY8b4+PgIhcJBgwbhlfpIXmhoaMybNy8pKWnJkiWampr37t3r1q3bqFGjEhMTRY/p2bMnudfx1KlTqzzpCH0Dm0Dp7N27V1tbu6ioqEePHnjiHZIjBgYGmzZtSkhImDBhAovFOnv2bJs2bWbOnCm6mGDVqlWOjo4FBQVjxozh8Xh008oXbAKlo6end/DgQQD49OnTuHHjaMdBqGYsLCyOHj0aFxc3aNAgPp+/f/9+KyurdevWFRcXq6qqBgUF1atX7/Hjx6tXr6adVJ5gEyijsWPHDh06FACCgoJwbDWSRx06dAgNDb1165adnV1RUdGqVausra0PHTrUqFGjw4cPA8Aff/xx8+ZN2jHlBjaBkuJyuSYmJgDg4eHx9etX2nEQqg1nZ+fHjx8HBwc3b948IyNjypQpHTp0UFdXJ/N3x40bl52dTTujfMAmUFKqqqo4hQIpADab7eHh8ebNm927d5uYmMTHxw8fPvzVq1dNmjT5/PnzhAkTGBzJXg3YBMqrffv269atA4CXL1+ePHmSdhyEak9dXX327NmJiYnLli3T0tJ6+PBhamoqm80ODQ3du3cv7XRyAJtAqS1btmzQoEEAMHv27LS0NNpxEKqTevXqbdiw4d27dxMnTmSz2eTUuLlz5/7111+0o8k6bAJld+HCBTs7u9zc3LFjx1bzPiEIybJGjRr5+/v//fffQ4YMAQCGYTw8PN69e0c7l0zDJlB26urqp0+f1tXVvXfvHtk+QEgBtGvXjlw6AwANGzZs1qwZ7UQyDZsAgbW19Zw5cwAgPDzcz8+PdhyExIDP548ZM6akpMTOzi4+Pl5VVZV2IpmGTYAAANavX9+8eXMAmDVrVkpKCu04CNXV2rVrHzx4oK+v/9dff+np6dGOI+uwCdA/IiMj1dTUBAJB9+7dcQoFkmt37txZv349ABw6dAj3C1UHNgH6R8OGDcktwj9+/Dh+/HjacRCqpZycnLFjxzIM4+vr6+HhQTuOfMAmQP/l7e3t6uoKAIGBgZcuXaIdB6EaYxhm4sSJHz9+bNWqVTXvZ3n8+HEWi/X06VNJZ5Nl2ATof1y8eNHY2BgApk2bVlZWRjsOQjXj5+cXEhJCzojT0dGhHUduYBOg/0GmUBgaGn769GnhwoW04yBUAy9evJg/fz4AbNmypVOnTrTjyBNsAvStDh06BAUFAcC+fftwHxGSFyUlJaNHjy4vL3d1dcV7WNYUNgH6DhcXlwULFgCAu7t7dHQ07TgIVW3+/PmvX782MzM7duwYi8WiHUfOYBOg79u4caOuri6Px+vfv39FRQXtOAj9DJfLPXjwIIvFOnnyZP369WnHkT/YBOj71NXVuVwuAOTl5ZETihCSTR8+fJg0aRIALF68uE+fPrTjyCVsAvRD/fv3nzx5MgDcuHGD3PASIVnD5/O9vLzy8vIcHBzWrl1LO468wiZAP/Pnn382bdoUAGbMmJGamko7DkLfWr9+fVRUlJ6e3unTp9XU1GjHkVfYBOhn2Gx2ZGSkqqqqQCBwcnLCKRRIpty7d4/cbengwYNkcBaqHWwCVIXGjRsfOnQIANLT0w8cOEA7DkL/+Pr1q5eXl1AoHD9+vKenJ+048g0ntaKqTZgw4dGjR4cOHSJH5Nq0aUM7EVJ2DMNMmjQpPT29RYsWYrk/5dGjR69du1Z5yZw5c5RniCk2AaoWPz+/5OTkGzdueHp6Pnz4UEtLi3YipNQOHjx44cIFNTW14OBgXV3duq/w33fmGD9+vPI0Ae4dQtXCZrMDAgJMTEzi4uIcHR1px0FK7eXLl/PmzQOAzZs3d+7cuY5rGz9+PPM9jRs3FkdY+YBNgKrL3NycTCJ6/vz5ypUracdBSqq0tHT06NFlZWUDBw4k99pDdYdNgGpg0aJFZLDXhg0bnj17RjsOUkYLFix49epVgwYNjh8/zmbjJ5h44PuIaubOnTtaWloMw/Tp0wenUCApu3DhAtmhHxgYaGpqSjuO4sAmQDWjr69//vx5AMjLyxsyZAjtOEiJpKWlTZw4EQAWLVrUr18/2nEUCjYBqjEXFxdfX18ACA8PJze8REjSBAKBl5dXbm6uvb09uZoMiRE2AaqNw4cPW1paAsCyZcvy8/Npx0GKb8OGDZGRkWSqhLq6Ou04igabANUGmULRqFGj7OzsKVOmMAxDOxFSZFFRUb///jsA+Pn5WVlZ0Y6jgLAJUC1ZWlqeO3dORUXlzJkzR48epR0HKazc3NwxY8YIhUJvb28vLy/acRQTNgGqvW7dupE9tpMnTw4LC6MdBykghmEmT56clpZmbW29b98+2nEUFjYBqpOFCxcaGRkxDMPhcAoKCmjHQYrm8OHDXC6XTJVQntkP0odNgOpEVVU1IiKCxWKVlpb26tWLdhykUF69ekWuIt60aVOXLl1ox1Fk2ASorjp37kyGT8TGxq5Zs4Z2HKQgSktLPT09y8rKBgwYQKYMIcnBJkBi8Pvvv9va2gLA2rVrY2NjacdBimDhwoUvXrwwNTU9ceIETpWQNHx/kXjcuXNHU1OTTKHg8Xi04yD5FhISsn//fgAICAho0KAB7TiKD5sAiUe9evW4XC4A5Obm/vHHH7TjIDmWnp5OLmL/7bffBgwYQDuOUsAmQGIzaNCgDRs2AMDatWsfP35MOw6SSwKBYOzYsV+/fu3SpQv5dkJSgE2AxGnp0qWjRo3i8/menp5ZWVm04yD5s2nTprt37+rq6uJUCWnCJkDixGKxDh48aGFhkZKS4uDgIBQKaSdC8uT+/fvk9LMDBw60aNGCdhwlgk2AxMzAwICcVJqamjplyhTacZDcyMvLGzNmDNk7NG7cONpxlAs2ARK/yZMn9+3bFwD8/f2vX79OOw6SAwzD/Oc///nw4YOVlRU5awhJEzYBkojQ0FADAwMAcHNzwykUqEpHjhw5e/asqqrq6dOn9fX1acdROtgESCLU1dVFUyh69+5NOw6SaW/evJk9ezYAbNy40d7ennYcZYRNgCTFzs5u2bJlABATE7N27VracZCMKisrGz16dGlpab9+/RYsWEA7jpLCJkAStH79+o4dOwLAzp07MzIyaMdBsmjRokV///13/fr1AwICcKoELfi+I8m6e/du27Zt8/LyvL298aRS9I3Lly/v3bsXAE6cOGFmZkY7jvLCJkCSZWBgcPbsWS0trYiICLxkFFX28ePHCRMmAMD8+fMHDhxIO45SwyZAEte2bdtdu3YBwKpVq06cOEE7DpIJAoFg3LhxOTk5nTt33rhxI+04yg6bAEnDpEmTGjduTP6Qnp5OOw6ib/Pmzbdv39bR0Tl9+rSGhgbtOMoOmwBJA5vNjoyMVFFR4fP5PXr0oB0HUfbw4cNVq1YBwP79+1u2bEk7DsImQNLStGlTckfylJSUqVOn0o6DqMnLy/P09BQIBGPGjPH29qYdBwFgEyBpmjp1KrnK7ODBgzdu3KAdB1HAMMzUqVNTU1ObNWvm5+fHYrFoJ0IA2ARIysLCwurVqwcAw4YNKyoqoh0HSduxY8fOnDmDUyVkDTYBkirRFIqSkpLVq1fTjoOkKj4+ftasWQCwfv36rl270o6D/gubAEmbvb19YGAgAOzYsQMnlSoPMlWipKSkb9++CxcupB0H/Q9sAkSBl5fX9OnTAcDb2zs+Pp52HCQNS5YsiYuLMzExwakSMgj/PRAd27Zta9myZVZWlpOTE5/Ppx0HSdaVK1d2794NACdOnDA3N6cdB30LmwDRoaWltXXrVgDIyclxc3OjHQdJ0KdPn8hUiblz5w4aNIh2HPQd2ASImqFDh3p5eQHAlStXAgICaMdBEkGmSnz58sXW1vaPP/6gHQd9HzYBoikgIKBhw4YAMGnSpE+fPtGOg8Rv69att27d0tbWDg4OxqkSMgubANEkmkLB4/G6d+9OOw4Ss0ePHq1YsQIA9u3b16pVK9px0A9hEyDKmjdvTiaVJicnT5s2jXYcJDb5+fljxowRCASjR48eP3487TjoZ7AJEH0zZ87s1asXAAQGBiYlJdGOg8SATJVISUlp2rTpn3/+iVMlZBw2AZIJYWFhTk5OxcXFnp6eFRUVtOOgujpx4kRwcLCKisrp06fJfBEky7AJkEzQ1NQ8deqUoaFhdHQ0GUiA5Nfbt29nzpwJAOvWrevWrRvtOKhq2ARIVlhaWh4+fBgADh06tGnTJtpxUC2Vl5d7enoWFxf37t170aJFtOOgasEmQDKEw+G0bdsWAFasWPHq1SvacVBtLF26NDY21tjYODAwUEVFhXYcVC3YBEi2REZGamhoCIXCXr164RQKuXP16tWdO3cCwPHjx8mVIkguYBMg2WJkZHT69GkA+PLli7u7O+04qAY+f/5MzhadPXv24MGDacdBNYBNgGSOm5vb6NGjASAkJOTUqVO046BqEQqF3t7e2dnZNjY2mzdvph0H1Qw2AZJFp06dIhMrJ0yY8OXLF9pxUNW2bdt248YNMlVCU1OTdhxUM9gESBaRKRSqqqo8Hg/vaiL7njx5snz5cgDYs2dP69atacdBNYZNgGSUlZXV9evX2Wz28ePHg4KCaMdBP1RQUODp6cnn80eOHOnr60s7DqoNbAIku3r37k3ml02ZMiUqKop2HPQdDMNMmzYtOTm5SZMmhw4dwqkScgqbAMm0lStXduzYsaioyMXFpaSkhHYc9K3AwMCgoCAVFZWgoCADAwPacVAtYRMgmaaqqurn58disYqLi/v06UM7DvofCQkJ5H7Ua9ascXR0pB0H1R42AZJ1jo6O8+fPB4BHjx5t2bKFdhz0j4qKCjJVomfPnkuXLqUdB9UJNgGSA9u2bWvTpg0ALF269M2bN7TjIACAZcuWPXv2zMjI6OTJkzhVQt5hEyD5cO/ePXV1daFQ2LNnT6FQSDuOsrt27dr27dsB4OjRo40bN6YdB9UVNgGSDyYmJuR64+zsbE9PT9pxlFpGRoaPjw8AzJgxY9iwYbTjIDHAJkByw93dfeTIkQBw8eLF2NhY2nGUlFAo9PHxycrK6tChw9atW2nHQeKBTYDkSXBw8NChQysqKkaPHl1UVEQ7jjLasWNHeHi4lpZWcHCwlpYW7ThIPLAJkDxhs9lHjx5t1KhRQkLCqFGjaMdROtHR0eQ0oV27dpE7SSDFgE2A5IyxsXFAQAAAhIWFzZkzh3YcJVJYWEimSnA4nMmTJ9OOg8QJmwDJn969ezs5OQHAnj177t27RzuOspgxY0ZSUpKFhcXhw4dxqoSCwSZAcikiIkJPTw8AXF1dcQqFFAQGBgYGBrLZ7KCgIENDQ9pxkJhhEyC5pKmpefXqVQAoKirq378/7TgKLjExkUyVWL16NdkaQwoGmwDJKycnp3nz5gHA/fv3d+zYQTuOwiJTJYqKinr06EFuQoAUDzYBkmM7duxo1aoVACxatOjTp0+04yimFStWPH361NDQEKdKKDBsAiTf7t27p6OjIxAIpk6dyjAM7TiKJjw8nFw+duTIEQsLC9pxkKRgEyD5Zmpqev/+fXV19cuXL+/fv592HIWSmZnp7e0NANOmTXNzc6MdB0kQNgGSezY2Ntu2bQOABQsWcLlc2nEUhFAoHD9+fGZmZrt27ciwOaTAsAmQIpg5c2bXrl0rKirGjBmTlZVFO44i2LVr17Vr1zQ1NXGqhDLAJkCKgMVinThxgs1mV1RU9OjRg3YcuRcTE7NkyRIA2LlzZ/v27WnHQRKHTYAURKtWrcgdzd6+fUvOLkW1U1hYOHr0aB6P5+bmNmXKFNpxkDRgEyDFsWDBAnI33V27dkVFRdGOI69mzZqVmJjYuHFjf39/nCqhJLAJkEKJiIjQ1dUFgEGDBpWVldGOI39OnTpF9rOdOnXKyMiIdhwkJdgESKFoa2uHhoYCQGFhIYfDoR1HziQlJU2bNg0AVq5ciYdblAo2AVI0PXr0mD17NgCEhYXduXOHdhy5QaZKFBYWOjk5rVixgnYcJFXYBEgB7d6929fXl2GYsWPH5uTk0I4jH1atWhUdHW1gYHDq1ClVVVXacZBUYRMgxbRnz55WrVp9/Pixb9++QqGQdhxZFxERsXnzZgDw9/e3tLSkHQdJGzYBUkw6OjonT55ksVjPnz8fM2YM7TgyLSsri0yVmDJlCh5cUU7YBEhh2dnZDR8+HADOnDmDUyh+hEyVyMjIaNu2LQ73VlrYBEiRnTt3ztTUFAC8vLy+fPlCO44s2rNnT1hYmIaGRnBwsLa2Nu04iA5sguoqLCykHQHVGJvNvnPnDpvNLi8vx9Mi/+3Zs2eLFi0CgB07dnTo0IF2HEQNNkHVNDQ0AGDEiBG//PLLtm3bUlJSaCdCNdCmTZs//vgDAN68ebNw4ULacWRIUVGRp6cnj8cbNmwYuYwAKS0W3tyjSjdu3FizZs2DBw9E71WnTp3c3d05HA65YRaSfY6Ojg8fPmSz2QkJCVZWVrTjyARfX99jx441atQoLi7O2NiYdhxEEzZBdX3+/PnChQtcLvfOnTuisxLbtWvH4XA4HE6HDh1wQossKykpadasWVZWlpOT0+3bt/F8+dOnT48ZM4bFYt2+fbtnz5604yDKsAlqLDs7OyQkhMvl3rx5k8fjkYXW1tZkK6FLly5YCbIpOTnZ1ta2sLBw9erVa9asoR2HpuTk5E6dOhUUFKxcuXLt2rW04yD6sAlqLy8v7/Lly1wu99q1a+Xl5WRhkyZNRowY4e7u3q1bNzYbD8PIFvKLMJvN3rVr16xZs2jHoYPH43Xv3v3x48eOjo53797FzSME2ARiUVhYePXqVS6Xe/Xq1eLiYrKwYcOGbm5uHA6ne/fu+MMmO5ydne/cuaOiohIfH29tbU07DgXLli3btGlTvXr14uLimjRpQjsOkgnK2wQHDhyYMWOGg4PD48ePxbXO0tLS69evc7ncS5cuFRQUkIUmJibDhw93d3d3dnZWV1cX13Oh2snIyLC0tOTxeObm5unp6cq23Xbz5s1+/foxDPPXX3+NHDmSdhwkMxhl5ejo2LRpUwB49+6d2FdeVlYWGhrq6+tbecK7gYGBt7d3SEhIaWmp2J8RVd/JkyfJv8jo0aNpZ5GqrKwsc3NzAJg8eTLtLEi2KGkTJCcnA8D58+fr16+/Zs0ayT0Rj8e7cePG1KlTGzRoIKoEXV1dDw+Ps2fPFhUVSe6p0U8MGzaM/FtwuVzaWaREKBS6uroCQJs2bYqLi2nHQbJFSZtg3bp1hoaG5eXl06ZNa9GihRSekc/n37t3b86cOY0bNxZVgpaWlpub28mTJ/Py8qSQAYnweLz69esDgIaGxpcvX2jHkYbdu3eT1/v8+XPaWZDMUdImaN269cSJExmGuXfvHgA8efJEak8tFAofP368cOHC5s2biypBXV190KBBR48eVZJPJVnw8uVLcpCgd+/etLNIXGxsLDlGtXfvXtpZkCxSxiZ4+vQpAERERDAMIxQKGzduPGfOHOnHEAqFsbGxK1asaNOmjagSVFRU+vbt6+fnl5GRIf1IyoZMoSD7CWlnkaCioiJyMfyQIUOEQiHtOEgWKWMTzJs3r0GDBnw+n/zvggULKv8vFa9evVq7dq2NjY2oElgsVvfu3Xfv3p2WlkYxmMIj89cMDQ0/fPhAO4ukTJw4EQAaNmyYnZ1NOwuSUUp3FqlAILCwsOjZs+e6devIktjY2FGjRl2/fr1///50swFAYmLi+fPnuVzukydPRAu7du1KZlpU3qGExKKiosLJySk6OtrCwiIxMVHxTvM9c+bM6NGjWSzWzZs3nZ2dacdBsop2FUlbeHj4d98Hb29v2tH+R2pq6s6dO52cnCrPrujUqdP69evfvHlDO51CiY+PJwcMnJ2daWcRs+TkZH19fQBYvnw57SxIpindNsH48ePDwsL2799feeH58+evXLmSmZmppaVFK9iPiCbf3b17VyAQkIVt27blcDju7u44+U4spk+f7ufnBwD79++fPn067TjiwePxevTo8ejRo19++eXu3btqamq0EyEZRruKpKqkpERPT8/X1/eb5ffv3weA4OBgKqmqKTs729/ff+DAgZV/pK2trRcvXvzkyRM8ElhHZM+biopKcnIy7SzisXz5cgDQ19dPSUmhnQXJOuVqguDgYAC4ePHiN8sFAkH9+vWHDBlCJVVN5ebmBgQEDBs2TFNTU1QJlpaWc+fOjYqKEggEtAPKpY8fP5KKbdSokQK8h7du3SIbizL++w2SEcrVBEOGDNHU1PzuBZbjx49XU1OTr9P5CwsLz5w5M2rUKB0dHVElmJubT58+nUzMph1QzgQGBpL30MvLi3aWOsnOzm7YsCEAkItmEKqS0h0nUEiiyXeXL1/Oz88nC01MTIYNG+bu7t67d2/FOyVGQoYMGXLlyhUWixUbG1v5pF45wjDMsGHDLl++3KpVq5iYmMq/JSD0I9gECqWiouLmzZtcLvfixYs5OTlkYb169YYOHcrhcPr37y+Dh8RlCp/Pb9euXUJCQocOHR4/fiyPb9e+fftmzZqlrq7++PFjW1tb2nGQfMAmUEx8Pv/u3btcLvfChQsZGRlkoY6Ojqurq7u7+8CBA3V1dekmlFmZmZkdO3bMysqaMWPGvn37aMepmbi4uK5du5aXl+/evXv27Nm04yC5gU2g4AQCwcOHD7lcLpfLTUtLIws1NTVdXFw4HM6QIUPq1atHN6EMun79uouLCwAsXbp048aNtONUV3FxsZ2dXXx8vKur6+XLl/H0YlR92ATKgmGY6OhoUglJSUlkoZqaWr9+/TgczrBhw4yNjekmlCkDBw68du0ai8V69OiRg4MD7TjV8p///Ofw4cPm5uZxcXFk0ipC1YRNoHQYhvn777/PnTvH5XLfvHlDFqqoqPTq1YvD4bi5uZmZmdFNKAuKiooaNGhQUlJSr169rKws2T/kfvbs2VGjRrFYrIiIiD59+tCOg+QMNoFSe/PmDdlKeP78OVnCYrGcnJw4HM6IESMsLCyopqMsIiKCjKLq3bv3zZs3acf5mdTUVBsbm/z8fPnanYVkBzYBAgBISkoilVB58p2DgwOZfGdlZUUxG0VTp049ePAgABw4cGDatGm043wfn8/v2bPngwcPunbtGhkZiVMlUC1gE6D/kZaWRoahRkVFib43bG1tSSVUvpWCkmjevHlKSoqKikpiYiK58bWsWbVq1bp16/T19Z8/f96sWTPacZBcwiZA35eRkUEm3925c0c0+a5NmzZk8l3Hjh2V5NSU9PT0Zs2a8fl8R0fHqKgoWXvVd+7cIfdcCwoK8vT0pB0HyStsAlSFL1++XLp0icvlRkRE8Hg8stDKyopsJdjb28vah6PYBQQE+Pr6CgSCw4cPT5o0iXac/8rJybGxsfn48eOECROOHj1KOw6SY9gEqLry8vKuXLnC5XKvXbtWVlZGFlpYWIwYMcLd3d3R0ZFM+VdIW7duXbRokZaWVkxMjIzsImMYxs3NLSQkpGXLljExMXipIKoLbAJUY0VFRWFhYVwu98qVK8XFxWShmZmZm5sbh8Pp2bOnqqoq3YRiJxQKXVxcIiIiDAwMUlJSDAwMaCeCAwcOzJgxQ11d/dGjR506daIdB8k3bAJUe6WlpeHh4Vwu99KlS6LJd8bGxsOHD+dwOH369JH90/CrLy0trWnTpkKhsGPHjnFxcXTDvHjxwt7evry8fOfOnXPnzqUbBikAbAIkBhUVFbdu3Tp37tw3k++GDBnC4XAGDBggj6Pc/m3t2rWrV68GgBUrVojugy19JSUl9vb2r1+/HjRoEJmcSisJUhjYBEic+Hz+vXv3uFzu+fPnv5l8x+FwBg0aJO+7s+3s7GJiYlgs1pMnT+zs7KhkIFc5mJmZxcXFmZqaUsmAFAw2AZIIoVD48OHDc+fOnT9//sOHD2ShpqbmgAEDyOQ7WdjVXgsFBQVmZmalpaUGBgaZmZnS3/3F5XLd3d1ZLFZ4eHjfvn2l/OxIUWETIMliGObp06fkAubExESyUE1NrW/fvmTynYmJCd2ENSWaVNqvX7/w8HBpPvWHDx9sbGzy8vIWL178xx9/SPOpkWLDJkBSwjDMixcvyOS7169fk4UqKio9e/Ykk+/Mzc3pJqy+yZMn+/v7s1ise/fuOTk5SedJ+Xy+s7NzVFSUg4NDVFQUTpVAYoRNgCiIj48nWwmxsbFkCYvF+vXXX8nkO0tLS7rxqiQUCnv27BkVFdWkSZPnz59LZ0/XmjVrfv/9dz09vdjYWKWdBIUkBJsA0ZScnEwq4fHjx6KF9vb25AJma2tritl+rqCgwNbWNiUlxcPD4/Tp05I+gefevXvOzs5CofDUqVNjxoyR6HMhJYRNgGRCWlrahQsXzp07V3nynY2NDamEtm3b0o33XY8fP3ZycuLz+ePHjz927Jjknujr1682Njbp6ek+Pj7Hjx+X3BMhpYVNgGRLRkbGxYsXuVzu7du3v5l8x+FwbGxsZOr0eQ6Hc/78eQAIDQ0dNGiQJJ6CYRgOh3PhwoUWLVrExMTo6elJ4lmQksMmQDIqJyfn0qVL586dqzz5rnnz5qQSHBwcZKES+Hx+gwYNvn79qqmp+fnzZ0kcMPjzzz+nTZumpqb28OHDLl26iH39CAE2AZJ9+fn5ZPJdWFjYN5PvOByOo6OjiooKxXjPnz/v3LkzwzC2traiA+Di8vLlS3t7+7Kysu3bt8+fP1+8K0dIBJsAyY3i4uKwsLBz586FhoYWFRWRhQ0aNCCT73r16kVr8t3vv/++Zs0aAFi5cuXatWvFtdrS0lJ7e/tXr165uLiEhoYq8KhXRB02AZI/ZWVlosl3eXl5ZKGxsfGwYcPI5DsNDQ0pR+rcuXNsbCyLxXr69Gnnzp3Fss7p06f7+fk1aNAgLi6uQYMGYlknQt+FTYDkWEVFxe3bt8nkuy9fvpCF+vr6ZPKdi4uL1CbfiaZQdOrUKTo6uu47rC5cuDBixAgAuH79ev/+/cWREaEfwiZAioDP50dGRpLJd58/fyYLdXR0Bg0aRCbfSeGUm/Dw8OHDh5eWlm7atGnJkiV1WVVaWpqNjU1ubu7ChQu3bNkiroQI/Qg2AVIoZPIduVpNNPlOQ0ODTL4bOnSoRK8HPnbsmK+vr4qKSmRk5C+//FK7lQgEAmdn58jISDs7u/v37yvSPR6QzMImQIqJYZiYmBgul3vu3LnKk+/69OnD4XCGDx8uicl3DMOMGTMmODhYQ0MjISGhdmMzyF0QdHV1Y2NjZfkqa6RIsAmQgiOT78hWwqtXr8hCNpvdq1cvSUy+y87ObtiwIZ/Pt7S0TElJqekJP1FRUT179hQKhYGBgWPHjhVjMIR+ApsAKZG3b9+SrYTKk+8cHR3J1Wrimnzn7+8/efJkAJg4caK/v3/1vzA3N9fGxiYtLW3cuHEBAQFiCYNQdWATIGWUnJx8/vx5Lpf76NEj0UIxTr4bMGAAuXXB1atXBw4cWJ0vYRhm5MiRXC7X2tr62bNnOFUCSRM2AVJq6enpZPJdZGSk6GehY8eOHA7H3d291pPvKioqzMzMcnNztbS0MjIy9PX1q/ySQ4cOTZkyRVVV9eHDh7Tui4mUFjYBQgAAmZmZZPLdrVu3RJPvWrduTbYSbG1tazrm6NmzZ3Z2dgzDdO7cOSYm5ucPfvXqlZ2dXVlZ2datW3/77bdavgaEagubAKH/8fXrV9Hku4qKCrKwefPmI0aMcHd3t7e3r/5B4FWrVq1btw4ALl++PHjw4B89rLS0tGvXri9evOjfv39YWBhOlUDSh02A0Pfl5+eHhoaSyXelpaVkYePGjcnku19//bU6FxJ7enoGBwfXr18/Li7uRycpzZw5c//+/aampnFxcWZmZuJ8DQhVDzYBQlUgk++4XO6VK1cqT74bPny4u7t7z549f3JL4bKysm7dusXFxfXp0+fatWv/npEXEhIyfPhwAAgLC3NxcZHYi0DoZ7AJEKqusrKyiIgILpcbEhIimnxnZGREJt/17dv3u5Pv4uPjO3fuXFpaOnDgwKtXr1b+q/T0dBsbm69fvy5YsGDbtm1SeAkIfRc2AUI1RibfcbncixcvZmdnk4WiyXcDBgzQ1tau/HhfX19ye8sjR474+vqShQKBoE+fPnfv3u3SpcuDBw9wqgSiCJsAodrj8/lRUVHkAmbR5DttbW0y+c7V1ZVcFiAUCps2bZqWlqaqqpqcnGxhYQEA69evX7lypY6OTmxsbIsWLWi+DKT0sAkQEgOhUPjo0SNSCampqWShaPLdkCFDCgoKrKysBAJBkyZNkpOTHz582LNnT4FAcOLECW9vb7rhEcImQEicGIZ59uwZmWnx7t07slBVVbVPnz4mJianTp0CAB8fn9u3b3/48MHLyyswMFAWbsiMlBw2AUISwTDMy5cvyVbCy5cv//2A5s2bx8bGVufyY4QkDZsAIYkjk++4XO6zZ89EC+/du9e9e3eKqRASwSZASHpSUlJWrlx56tQpcrQALydGMgKbACFpy8rKMjIy+vdVZgjRgk2AEELKDjdOEUJI2WETIISQssMmQEi2HD9+nFWJqamps7NzWFgY7VxIkeExK4Rk0dq1a5s1a8YwTGZm5vHjxwcNGvTzmxwgVBfYBAjJooEDB4ruYTlx4sQGDRqcPn0amwBJCO4dQkjWGRgYaGlp4VmnSHLwewshWZSfn//lyxeGYbKysvbu3VtUVDR27FjaoZDCwiZASBb17dtX9GcNDY2jR4/269ePYh6k2LAJEJJF+/fvb9myJQBkZmaePHly0qRJenp6I0aMoJ0LKSa8xhgh2XL8+PEJEyZER0eLjhgLhcJOnTplZ2e/f/8eb22GJAGPGCMk69hstrOz8+fPn0U3PEBIvLAJEJIDfD4fAIqKimgHQYoJmwAhWcfj8cLDw9XV1du0aUM7C1JMeMQYIVkUFhYWHx8PAFlZWUFBQe/evVuyZAne4AxJCDYBQrJo1apV5A+ampqtW7f28/ObMmUK3UhIgeG5QwghpOzwOAFCCCk7bAKEEFJ22AQIIaTssAkQQkjZYRMghJCywyZACCFlh02AEELKDpsAIYSUHTYBQggpO2wChBBSdtgECCGk7LAJEEJI2WETIISQsvs/NFG4atj9JSgAAAAASUVORK5CYII=", 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<image>
# 顶点坐标 coordinates = {'L': (0.98, 0.5), 'S': (0.61, 1.0), 'R': (0.02, 0.81), 'A': (0.02, 0.19), 'B': (0.61, 0.0), 'F': (0.14, 0.65), 'V': (0.37, 0.83), 'G': (0.49, 0.77)} radius = 0.0 connection_dict = {'L': ['S', 'B', 'G', 'V'], 'S': ['L', 'R', 'F', 'V', 'G'], 'R': ['S', 'A', 'F', 'B'], 'A': ['R', 'B'], 'B': ['A', 'L', 'F', 'R'], 'F': ['B', 'R', 'S', 'V'], 'V': ['F', 'S', 'R', 'G', 'L'], 'G': ['V', 'L', 'S']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.0, 0.07), 'A': (1.0, 0.07), 'E': (0.5, 0.93), 'F': (0.5, 0.07)} radius = 0.0 connection_dict = {'J': ['A', 'E', 'F'], 'A': ['J', 'E', 'F'], 'E': ['J', 'A', 'F'], 'F': ['J', 'A', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.42, 0.47), 'C': (0.86, 0.47), 'F': (1.0, 0.68), 'E': (0.92, 0.56), 'J': (0.0, 0.32)} radius = 0.0 connection_dict = {'L': ['C', 'F', 'E', 'J'], 'C': ['L', 'F', 'E', 'J'], 'F': ['L', 'C', 'E', 'J'], 'E': ['F', 'C', 'L'], 'J': ['L', 'F', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (1.0, 0.5), 'Q': (0.75, 0.93), 'B': (0.25, 0.93), 'P': (0.0, 0.5), 'V': (0.25, 0.07), 'A': (0.75, 0.07), 'R': (0.25, 0.5), 'E': (0.5, 0.28), 'U': (0.48, 0.93)} radius = 0.0 connection_dict = {'K': ['Q', 'A'], 'Q': ['K', 'B', 'U'], 'B': ['Q', 'P', 'R', 'V', 'U'], 'P': ['B', 'V'], 'V': ['P', 'A', 'R', 'B'], 'A': ['V', 'K', 'E'], 'R': ['B', 'V', 'A', 'E'], 'E': ['A', 'R', 'Q', 'U'], 'U': ['Q', 'B', 'E']}
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", 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<image>
# 顶点坐标 coordinates = {'I': (0.98, 0.5), 'M': (0.61, 1.0), 'B': (0.02, 0.81), 'L': (0.02, 0.19), 'V': (0.61, 0.0), 'C': (0.61, 0.5), 'O': (0.61, 0.81)} radius = 0.0 connection_dict = {'I': ['M', 'V'], 'M': ['I', 'B', 'C', 'V'], 'B': ['M', 'L', 'O'], 'L': ['B', 'V'], 'V': ['L', 'I', 'C', 'M', 'O'], 'C': ['V', 'M', 'I', 'O'], 'O': ['C', 'V', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'X': (0.69, 0.71), 'Y': (0.37, 0.89), 'B': (1.0, 0.53), 'R': (0.0, 0.11), 'K': (0.89, 0.48)} radius = 0.4832939081642957 # 连接关系 connection_dict = {'O': [], 'Y': ['B', 'X'], 'B': ['Y', 'X', 'R'], 'X': ['Y', 'B'], 'R': ['B', 'K'], 'K': ['R']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'B': (0.69, 0.71), 'G': (0.37, 0.89), 'X': (1.0, 0.53), 'S': (0.0, 0.11), 'Q': (0.89, 0.48)} radius = 0.48329390816429557 # 连接关系 connection_dict = {'O': [], 'G': ['X', 'B'], 'X': ['G', 'B', 'S'], 'B': ['G', 'X'], 'S': ['X', 'Q'], 'Q': ['S']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'X': (1.0, 0.5), 'I': (0.75, 0.93), 'Q': (0.25, 0.93), 'O': (0.0, 0.5), 'W': (0.25, 0.07), 'N': (0.75, 0.07), 'J': (0.75, 0.31), 'E': (0.5, 0.19)} radius = 0.0 connection_dict = {'X': ['I', 'N'], 'I': ['X', 'Q', 'J', 'N'], 'Q': ['I', 'O', 'J'], 'O': ['Q', 'W'], 'W': ['O', 'N', 'E', 'J'], 'N': ['W', 'X', 'J', 'I'], 'J': ['I', 'N', 'Q', 'E', 'W'], 'E': ['J', 'W', 'N']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.17, 0.0), 'I': (0.83, 0.0), 'G': (0.17, 1.0), 'L': (0.63, 0.31)} radius = 0.0 connection_dict = {'K': ['I', 'G', 'L'], 'I': ['K', 'G', 'L'], 'G': ['K', 'I', 'L'], 'L': ['G', 'I', 'K']}
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<image>
# 顶点坐标 coordinates = {'O': (0.46, 0.44), 'V': (1.0, 0.44), 'Z': (0.0, 0.71), 'B': (0.5, 0.57), 'G': (0.98, 0.29)} radius = 0.5358983848622454 # 连接关系 connection_dict = {'O': ['V', 'Z', 'B'], 'V': ['O', 'B', 'Z'], 'Z': ['O', 'B', 'V'], 'B': ['V', 'Z', 'O', 'G'], 'G': ['B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.0, 0.11), 'D': (1.0, 0.11), 'H': (0.76, 0.89), 'L': (0.49, 0.61)} radius = 0.0 connection_dict = {'G': ['D', 'H', 'L'], 'D': ['G', 'H', 'L'], 'H': ['G', 'D', 'L'], 'L': ['H', 'G', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.0, 0.19), 'F': (1.0, 0.19), 'H': (0.93, 0.81), 'G': (0.32, 0.81), 'K': (0.66, 0.5)} radius = 0.0 connection_dict = {'J': ['F', 'G'], 'F': ['J', 'H', 'G', 'K'], 'H': ['F', 'G'], 'G': ['J', 'H', 'F', 'K'], 'K': ['F', 'G']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'T': (0.93, 0.5), 'C': (0.07, 1.0), 'V': (0.07, 0.0), 'W': (0.23, 0.91), 'L': (0.15, 0.45), 'A': (0.53, 0.48)} radius = 0.0 connection_dict = {'T': ['C', 'V', 'W', 'A'], 'C': ['T', 'V', 'W'], 'V': ['C', 'T', 'W', 'L'], 'W': ['T', 'C', 'V', 'L', 'A'], 'L': ['W', 'V', 'T', 'A'], 'A': ['W', 'L', 'T']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.0, 0.5), 'A': (0.5, 0.71), 'B': (1.0, 0.5), 'C': (0.5, 0.29), 'G': (0.75, 0.4)} radius = 0.0 connection_dict = {'H': ['A', 'C'], 'A': ['H', 'B', 'G'], 'B': ['A', 'C', 'G'], 'C': ['H', 'B', 'G'], 'G': ['B', 'C', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'L': (0.69, 0.71), 'C': (0.37, 0.89), 'K': (1.0, 0.53), 'Y': (0.0, 0.11), 'D': (0.71, 0.41)} radius = 0.4832939081642957 # 连接关系 connection_dict = {'O': [], 'C': ['K', 'L'], 'K': ['C', 'L', 'Y', 'D'], 'L': ['C', 'K', 'D'], 'Y': ['K', 'D'], 'D': ['Y', 'K', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (1.0, 0.5), 'B': (0.75, 0.93), 'I': (0.25, 0.93), 'W': (0.0, 0.5), 'J': (0.25, 0.07), 'G': (0.75, 0.07), 'Z': (0.5, 0.07), 'N': (0.1, 0.33)} radius = 0.0 connection_dict = {'Q': ['B', 'G'], 'B': ['Q', 'I'], 'I': ['B', 'W', 'N'], 'W': ['I', 'J', 'N'], 'J': ['W', 'G', 'Z', 'N'], 'G': ['J', 'Q', 'Z'], 'Z': ['G', 'J', 'B'], 'N': ['I', 'W', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.0, 0.14), 'L': (0.72, 0.14), 'D': (1.0, 0.86), 'E': (0.37, 0.86), 'I': (0.54, 0.5)} radius = 0.0 connection_dict = {'J': ['L', 'E'], 'L': ['J', 'D', 'E', 'I'], 'D': ['L', 'E'], 'E': ['J', 'D', 'L', 'I'], 'I': ['L', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.21, 0.5), 'L': (0.79, 0.5), 'E': (0.5, 1.0), 'N': (0.5, 0.5), 'Y': (0.5, 0.75), 'U': (0.5, 0.0)} radius = 0.5773502691896258 # 连接关系 connection_dict = {'O': ['L', 'E', 'N'], 'L': ['O', 'N'], 'E': ['O', 'N', 'Y'], 'N': ['O', 'L', 'E', 'Y'], 'U': ['Y'], 'Y': ['U', 'N', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.2), 'C': (0.73, 0.2), 'D': (1.0, 0.8), 'B': (0.16, 0.8), 'A': (0.45, 0.5), 'E': (0.37, 0.2), 'J': (0.56, 0.38)} radius = 0.0 connection_dict = {'K': ['C', 'B', 'E'], 'C': ['K', 'D', 'B', 'A', 'E', 'J'], 'D': ['C', 'B'], 'B': ['K', 'D', 'C', 'A'], 'A': ['C', 'B', 'E', 'J'], 'E': ['K', 'C', 'A', 'J'], 'J': ['C', 'A', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'M': (1.0, 0.5), 'W': (0.75, 0.93), 'R': (0.25, 0.93), 'F': (0.0, 0.5), 'T': (0.25, 0.07), 'U': (0.75, 0.07), 'L': (0.75, 0.5)} radius = 0.0 connection_dict = {'M': ['W', 'U', 'L'], 'W': ['M', 'R', 'L', 'U'], 'R': ['W', 'F'], 'F': ['R', 'T'], 'T': ['F', 'U'], 'U': ['T', 'M', 'L', 'W'], 'L': ['W', 'U', 'M']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'B': (0.06, 0.0), 'J': (0.94, 0.0), 'I': (0.5, 1.0), 'D': (0.74, 0.44), 'C': (0.83, 0.5)} radius = 0.0 connection_dict = {'B': ['J', 'I', 'D', 'C'], 'J': ['B', 'I', 'D'], 'I': ['B', 'J', 'D', 'C'], 'D': ['I', 'J', 'B', 'C'], 'C': ['B', 'D', 'I']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.0, 0.3), 'G': (1.0, 0.3), 'L': (1.0, 0.7), 'D': (0.0, 0.7)} radius = 0.0 connection_dict = {'C': ['G', 'D'], 'G': ['C', 'L'], 'L': ['G', 'D'], 'D': ['C', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'E': (0.3, 0.24), 'I': (1.0, 0.24), 'J': (0.49, 0.76), 'A': (0.0, 0.76), 'G': (0.39, 0.5)} radius = 0.0 connection_dict = {'E': ['I', 'A', 'J', 'G'], 'I': ['E', 'J'], 'J': ['I', 'A', 'E', 'G'], 'A': ['E', 'J'], 'G': ['E', 'J']}
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rVkdkpLX7CUajkeM4Iuro6LBaezghKCjIYDAQUWdnp+XHxWxxcfHTTz/d1tZmNBqvX78eFxfX/e0gOllXLunaiBEj2H+Cf/mXf3H3vampPBFfXCzGuHSksrKS/fzq0fz58x1nOn4cO5s2bZrjhOjo6O4nZGRkOK8iJep6kVGjRjmuMGrUqO5XSEpKcpyQkZHR/YQBAwb08S0QkdFodFxh/vz5PZ7jOCE3N7fHE8rLTexbWLbsxR5PqK+vZ1d44YUXejyhoqKCnfCLX/yij9FGRkYK+l8YXIXukGx+85vfsN98+OGH169fd+u97B9V2DPNS1evXuVVXhPbbDa1fwsOHMft2rVL7lHoFLpDsrHZbAMHDmxubiaiwYMHFxQUpKamuvJGnqeQEDKb6epVSksTeZSaVlVVNXjwYMeXBoPh8uXLgwYNYl+qojt0/fp153XJPj4+ly5dcnwLjJK7Q4WFhQsXLrTb7X5+fqWlpT2usQYpyFuS6BwrxlljYfDgwdeuXXPlXbW1PBHPcULeZnzsxrEntj0R/1Y8vUZ7L+9lBzutnf/0+T+N+dMY4/8zxr8Vv+bjNdX3qh1vuWO+s2rPqtA3QsP/M/yn+356v+O+46VNZZuG/H7Iw+8+fLLypGBDdNPmzZvZn/CioiLn43a7PTExkYgWLFhwzmkdro+Pz1/+8hfBhyH2Pca/d9p4pMdv4dq1a88//3xycnJAQEBoaGhWVtaGDRtY6rhOwHuMneXn5/v4+BCRv7//uXPnejzH8d/R2S9/+UshxwE87ytmykA/Hn/88d27d6ekpERHR1+5cmX69OmuVAbsx1dqKgm4Aru1s3Vc7LifPvzTxTsXOw6aLebTtad/lf2rcbHjmtubXz788sLtC8ueL2Ov5n2cV3O/5os1X1jslp/s/8nznzy/bck2IrrVcmv98fU7luyovl/9k/0/ufTiJcFG6b7AwMBt27Y539d97NixqqoqdtPfhx9+6Dh+6dKl4cOHyzBEL7S1tf3ud78jovXr10+cODEtLY2FnMOnn366dOnSgICAtWvXjhkzprOzs7i4eN26dd9+++2mTZtkGvUDR48enT17ts1m8/f3Ly0tHTt2bB8nv/7668nJyY4vx4wZI/4AdUbuKNK18vJyIvL19b169Wp6ejq5Vhm8+ipPxK9ZI8qQnGuCLk5VnaLX6ObdmzzPX6q/RK9RaXUpe+nQ1UPcaxyrGC7UXcjYlGHqMJU3lQ/dMFSUUbqA/Vty8eLF0dHRFovFcfy5556bMGFCUlLS/PnznZepqHHfIVYQDB06tKOjo/ur5eXlISEh6enpt2/fdj5+9erVDRs2uPVBgtcErlQDDPvvWFpaKswHQy8wYyyn5OTklJQUq9V65cqVgoKC9PT0ysrK6dOn9z2BzB5b9vjjEg3SoaWjhSMuIjCCiE5UnYgIjMhIeLCaZVbKLANn+LrqayIaEzNmbMzY8N+Gj/7T6N9M/43Uo/yxlStX3rlz54svvmBfdnZ27t69e9WqVUTU2NhYW1sbGRkp6wA95ygI/vVf/7XHB66tX7/eZDK9//778fHxzsfT0tJefvlliUbZE7eqAZAGkkBmjz/+OBF9+eWXcXFxroTB6dP07bfk709PPinpONut7b/88pcrH1oZFhBGRLWm2pjgH7Yd8DX4RgZF1ppq2ZfvP/V+3S/q7vzTnbyxeZKOspuhQ4dOnjx5+/bt7MtDhw61tLSsWLGCiNh9WL2tm1S+9957r7a2dujQoWvXru3xhE8++SQlJcXxkAyF8CwGWlpaGp2IPUgdQhLIbNasWUTE/tHqShhs2EBEtGQJRURIN0iLzbJs1zKe5/+84M8uviXKGBXkFyTqqFy0atWqffv2tbW1EdHWrVunTZuWkJDA83xtbS17VdRPNxrp/n2qq6P796mnexI81G9BcO/everq6oceekiQj4uOpro6qqujnu6acIPH1cCsWbMGOvFqENATzBjLbMaMGRzHXbp0qbq6etCgQSwMpk+f3uME8uXLtHUrERF7prE0LDbLst3LbrbcPLr2KCsIiCguJK6+td5xjtVubWprigtR4t2hy5Yt+8d//MeDBw/OnTv34MGDGzduJKLW1la73T58+PBJkyaxe538/PzE+HSOo5CQHzahE0q/BcG9e/eIKDQ0VJCPMxgE2HjOm6bQO++8o7r5fHVBEsgsMjIyIyOjtLQ0Pz+f/a3uLQx4nl56iex2euop6uluU1GwGLh652rBMwVRxijH8cmJk++23/3m9jcTEiYQ0dGKo3be/mjioxINyx0DBw6cNWvWtm3bzGazzWZj7SC2/H/t2rUBAQFvvvmm3GN0T78FARGFhYUR0f379yUdWe+8nBvIzMzs8RZrEAq6Q/JzbhAxPbaJ/vQnys+nwEB6+23hx2DqNJ2tPXu29iwRVTRXnK09e6vllsVmyd2VW3a7bOvirTbeVmuqrTXVdto6iWjkwJFz0+Y+98lzp6pPldwq+T+f/Z8VY1YkhCYIPzIhrFq16tChQ+++++68efMiIiJu3brFNjtbvXq13EPzRL8FARGFhYUlJCRcvHhRyoH1BlPEKiD34iXgjx49SkRxcXF2u935eE1NjWNp6UcfVfn780S8m8v/XFVQUUCvkfOvZ/Y+U9Fc0eUgvUYFFQXsLXfMd1buXhnyRkjYf4b9ZN9PnO8sUwLn1Yf3799nNwN/9NFHPM+/8cYb9Pctbmw2W0VFRUVFBdu2QfnMZjNb/Po///M/fZ/5/PPPE9Hx48elGVhvXF8w2iOsIpUGkkB+7e3t7OfUhQsXurz09zAYazA0E/GLF/M/DgvoVZefIB988MFrr71mNpvtdvvIkSOJaOzYsbz4zzEWXN/3EDi7du1acHDwqFGjamtruxx3934Cj3kZAzySQCqYJ5BfQEBAdnb2kSNHvvjiiy43T8bFxf32t8WLF/vY7RH+/t+89toAjkuRa5yq5tiruays7PLly0TUZZW9KrgyQ+CQmpq6bdu25cuXjxw50nGP8fHjx3ft2vXss89KMFo0hVQE8wSK4LirwPmg3U4bN9LSpVF2e0Rg4NnOzpkLFuS4u2spdPG3v/2NiIKDg3191ffPIFdmCJwtXLjw/Pnzubm5+/fvf/HFF//5n//5xo0bb7/9NltAJSrEgMrIXZQAz/P82bNniSg4ONhR8p8/z0+b9uAW/9xc/vr1Gte3o4DedHZ2sv3+PvvsM3ZERd0h12cIZOd9UwgkhiRQBJvNFhMTQ0SFhceOH+eXL+c5jifig4L4//7vB3MDzhPICAPPHDhwgIhiY2MdOxGpKAlcnyGQF2JAjZAESjF37koiGjDg/zo2LMvN5f/+oKcHEAZeYjcTvPLKK44jakkCtRQEiAGVwjyBUsTHP05Ezc1fGo307LN09izt2kVDh/7oHBf3JoIeNTc3s5rAxSa7org7QyALzA2omNxRBA+cOnWLiDjOUFnZ3PeZqAw889577xHRQw895Hywvb39hRdeeOGFF9rb2+UaWL9UURCgGlA1JIGCsGfcf/zxx/2eiTDwwJQpU4jozTfflHsgblP+DAFiQO3QHVKQHteS9ghtInddv369pKTEYDCIvfmo4Ny6h0AWaAppAJJAQbpvQNQHhIFbtmzZQkSzZs1KSPjR5kg8zzc0NDQ0NPDdniavEAqfIUAMaITcRQn84O7du6zEvnHjhotvQZvIFXa7PSUlhYi2bNnS5SWFrx1S+AwBmkKagZpAQcLDwzMzM8m1BhGDysAVx48fZw/1XbRokdxjcY+SCwJUA1qCJFAWNlXgYoOIQRj0i+0wsWTJkuDgYLnH4gYlzxAgBjQGSaAsLAny8/Ptdrvr70IY9KG9vX3nzp2kwtsIFFsQIAa0B0mgLI8++mhISEhjY+O5c+fceiPCoDcHDx68e/fu4MGDc3Jy5B6LGxRbECAGNAlJoCx+fn7sB5brUwUOCIMesdbQ6tWrDQY1/WlXZkGAGNAqNf3d0Am31pJ2gTDooqGh4dChQ0S0Zs0aucfiBmUWBIgBDUMSKA6bKigqKmLP2nUXwsDZjh07rFZrRkYGe05Zd76+vs8888wzzzyjqMcVKLAgQAxonNzLWKEru93O7n768ssvPb4I7jNgMjIyiGjjxo1yD8QNCryHAPcNaB5qAsXhOM6bBhGDyoCILl++XFZW5uvru2LFCrnH4galFQSoBvQASaBErm9A1AeEwYcffkhE8+bNGzhwYG/n8Dzf2tra2trKK2O3CaXNECAG9ELuogR6cPv2bSLiOK6xsdHLS+m2TWSz2RITE4lo165dfZymtN0mFLXtKJpC+oGaQIni4+PHjBnD83x+fr6Xl9JtZVBYWFhVVRUeHv7EE0/IPRZXKaogQDWgK0gChRKkQcToMwxYa2j58uWBgYFyj8VVypkhQAzoDZJAoRyTxrwQ/Wu9hUFra+vu3btJVTtMKKcgQAzoEJJAobKzs/38/G7cuFFeXi7IBXUVBvv27TOZTCkpKVlZWXKPxVUKKQgQA/qEJFCokJCQyZMnk3drSbvQTxiw1tCaNWs4jpN7LC5RSEGAGNAtJIFyebBDdb/0EAa3b99m/6epaIcJJRQEiAE9QxIoF0uCo0eP2mw2AS+r+TDYtm2b3W6fMmVKampqvyf7+Pjk5ubm5uay5ZKyUEJBgBjQO7mXsUKvLBZLeHg4EX399deCX1zD9xmwn2Lvvvuu3ANxlez3EOC+AUBNoFy+vr4zZswggdaSdqHVyuDcuXPnz5/39/dftmyZ3GNxiewFAaoBIHSHFM77DYj6oMkwYE8jWLhw4YABA+Qei0vknSFADMADchcl0Jfvv/+eiPz9/cXbC0FLbSKLxRIbG0tEBw4ccPEt8u42Ie+2o2gKgQNqAkVLS0tLSkrq7OwsKioS6SO0VBl8+eWXdXV10dHRc+fOlXssLpGxIEA1AM6QBIomyA7V/dJMGLDW0MqVK/38/OQeS/9knCFADEAXSAKlE3ADoj5oIAzu3bu3d+9eUs8OE3IVBIgB6A5JoHRs+dD58+fr6upE/SC1h8GePXva29vT09MnTJgg91j6J1dBgBiAHiEJlG7gwIHjx48nIu93qO6XqsOAtYbWrl2rih0mZCkIEAPQGySBCkgwVeCg0jC4efNmYWEhx3F5eXlyj6V/shQEiAHoA5JABRwbEPGSPGFRjWGwdetWIsrJyRkyZIhbb/Tx8Zk/f/78+fOl3G1C+oIAMQD9kHsZK/TPbDYHBAQQ0eXLlyX7UBXdZ2C320eMGEFEmzdvlnss/ZP+HgLcNwD9Qk2gAkFBQVOnTiWpGkSMiiqD0tLS7777LigoaMmSJXKPpX8SFwSoBsAVSAJ1kGYtaRdqCQM2V7x48eLQ0FC5x9IPiWcIEAPgKrmLEnBJWVkZEYWGhnZ2dkr80QpvE3V0dERFRRHR4cOHPXi7yWQyGo1Go1Ga3Sak3HYUTSFwHZJAHWw2G/t5V1xcLP2nKzkM9u3bR0Tx8fEWi8WDt0u575CUMwSIAXALukPqYDAYZs6cSZI3iBglt4lYaygvL8/X11fusfRDshkCNIXAXUgC1ZDyroLulBkGTU1NBw8eJDU8qFKyGQLEAHgASaAabNL45MmT9+7dk2UACgyDnTt3dnZ2jhs3Tvk/76QpCBAD4BkkgWoMHTo0NTXVZrMdO3ZMrjEoLQwcO0zIO4x+SVMQIAbAY0gCNXHcbCzjGJQTBteuXTtx4oTBYFi5cqVcY3CRBAUBYgC8gSRQE1nuKuhOIWHw4YcfEtHs2bPj4+NdOZ/nqbW166+2NsPUqXOmTp3T1mbo/qogu3tIUBAgBsBbci9eAjc0NTUZDAYiqqyslHssMi8ttdlsQ4cOJaJt27a5+BaTiSdy75cgK0vFvocAC0bBe6gJ1GTAgAEZGRkkyQ7V/ZK3MigpKblx40ZoaOhTTz0l5ee6S+yCANUACAJJoDLyriXtQsYwYK2h3Nxco9Ho4luMRjKZ3Pvl8rV7JeoMAWIABCN3UQLuKSgoIKLY2Fi73S73WB6Qvk1kNpvDw8OJqKCgwMtLmUym6Ojo6OhoMe4xFvWmYjSFQEBIApVpb29n/wo+f/683GP5gcRh8NFHHxHRkCFDbDabl5cSdbcJ8WYIEAMgLHSHVCYgICA7O5sU0yBiJG4TsdbQ6tWr2fy5Mok3Q4CmEAhOuX+RoDcKWUvahWRhUF9ff+jQIVL8DhMizRAgBkAMSAL1YZPGx44d6+jokHssPyJNGGzfvt1ms2VmZrJ+lDKJVBAgBkAkSAL1eeihh2JiYsxm88mTJ+UeS1cShAFrDSl8hwkxCgLEAIgHSaA+HMcpai1pF6KGwbfffvvNN9/4+vouX75cwMsKS4yCADEAokISqJISNiDqg3hhwAqCBQsWREdHC3JBg8GQkZGRkZEh4OSz4AUBYgBEJ/fiJfBEZWUlERkMhqamJrnH0ivBl5ZardZBgwYR0Z49e7y/mkgEv4cAC0ZBAqgJVCkxMTE9Pd1ut7MbzZRJ8MqgsLCwurp6wIABCxYsEGSEYhC2IEA1ANJAEqiVMteSdiFsGLCnESxfvjwgIECgAQpM2BkCxABIBkmgVkqeNHYmVBi0trbu2bOHhF41ZDabhw4dOnToULPZ7P3VBCwIEAMgKbnbU+ChlpYW1j6uqKiQeyz9837OgM0Vp6WlCbvhkoC7TQg4Q4C5AZAYagK1CgsLmzRpEim+QcR4Xxmw1tCaNWs4jhNhgAIQqiBANQDSQxKomFoaRIw3YVBdXc0Cb/Xq1aIN0CtCzRAgBkAWSAIVY5PG+fn5drtd7rG4xOMwYA8me+yxx1JSUkQdoccEKQgQAyAXJIGKZWZmhoaG3rlz5+zZs3KPxVUehAHP8//7v/9LCt5yTpCCADEAMkISqJifn19OTg6pp0HEuBsGZ8+e/fbbbwMCApYuXSrNCN3lfUGAGAB5IQnUTRV3FXTnVhiwueKnnnoqIiJC8JFwHDdq1KhRo0Z5PBHtfUGAGAD5yb14Cbxy6dIlIgoICDCbzXKPxW2uLC21WCwxMTFE9Mknn0g8PBd5+WAyLBgFJUBNoG7p6emDBg3q6OgoKSmReyxuc6Uy+Pzzz+vr6wcOHDhnzhzpR9gvLwsCVAOgEEgCdVP4DtX96jcMWGto1apVfn5+cgywH97MECAGQDmQBKqn8B2q+9VHGLS0tOzfv5/EXDVkNptHjx49evRoD3ab8KYgQAyAssjdngJv1dbWsv+UDQ0Nco/Fcz3OGfzlL38holGjRgm7w4Qzb3ab8HiGAHMDoDSoCVQvNjb2oYceIqL8/Hy5x+K5HisD1hpau3atAneY8LggQDUACoQk0AKVriXtoksYHDt27KuvvuI4Li8vT+6h9cCzGQLEACgTkkALHJPGPM/LPRavOIfBwoULiWjGjBmJiYlyj6srzwoCxAAoFpJAC7Kzs/39/W/evCns4+NlwcJgxIgR9+7dI6K5c+fKPaIeeFAQIAZAyZAEWhAcHJyVlUVqXkHkLC4u7u2332a/37Bhg9LizYOCADEACock0AhV31XQ3WeffUZEYWFh1dXVgjwDuTccxyUlJSUlJbk+Ke1uQYAYABWQe/ESCOPrr78movDwcKvVKvdYvNXe3h4ZGUlEO3bs8PJJZ4Jz98FkWDAKqoCaQCMmTJgQERHR0tJSVlYm91i89dlnnzU1NSUkJOTm5gryDGQBuVUQoBoAtUASaISPj8+MGTNI/WtJiYg9snj16tU+Pj7eP/ZSQG7NECAGQEWQBNqhjamCO3fuHDx4kJx2mBA1DNra2iZOnDhx4sS2trZ+T3a9IEAMgMrI3Z4CwVy9epWI/Pz87t+/L/dYPPfOO+8Q0fjx47scd2ULaw+4vtuE6zMEmBsA1UFNoB2pqalDhw61WCxFRUVyj8VzrDXU/R/dsreJXCwIUA2AGiEJtEPtO1QT0ffff3/y5EkfH5+VK1d2f1XGMHBxhgAxACqFJNAUtW9AxAqCOXPmxMbG9niCXGHgSkGAGAAVk7s9BUJqaGhgd0jV1NTIPRa32Wy2pKQkItqxY0ffZwo4Z+DKPIErMwSYGwBVQ02gKdHR0ePHjyd1lgXFxcU3b94MCwtje8/1QeLKoN+CANUAqB2SQGvU2yBiTyNYunRpUFBQvycLGAbR0dHR0dG9vdrvDAFiALRA7qIEBMamixMSEsR7zpcYzGZzWFgYER07dsz1d4m0tNRZ3w8mQ1MItAFJoDVtbW2BgYFEdOnSJbnH4oYdO3awH7g2m82tN4oaBn3PECAGQDPQHdKawMDAqVOnktrWkrLW0OrVqw0G9/5Mijpn0McMAZpCoCVIAg1iUwUqSoK6urojR46Q0w4TbvEmDNra2nJycnJycrrvNtHHDAFiALRG7qIEhHf69GkiCgkJ6ezslHssLmG9+EmTJnlzEc/aRH2sIu1thgBNIdAe1AQaNG7cuOjoaJPJxB5aoHysNeRZQeAgbJuot4IA1QBoEpJAgwwGw8yZM0kla0kvXLhw5swZPz+/5cuXe3kpAcOgxxkCxABoFZJAm1S0ARHbYeKJJ56Iiory/mqChEGPBQFiALRM7vYUiOLGjRtE5OPjc/fuXbnH0her1ZqQkEBEe/fuFfCyrs8Z9DhP0H2GAHMDoG2oCbQpKSlp2LBhNpvt2LFjco+lL0ePHr19+3ZkZOT8+fMFvKyXq4m6FASoBkDzkASapYoGEZsrXrFiRb8Pg3SX62FgNBqNRqPjyy4zBIgB0AW5ixIQy8cff0xE6enpcg+kV/fv32c/gk+ePCnSR7i7tLTLTcVoCoFOoCbQrOnTpxsMhitXrlRVVck9lp59/PHHZrN52LBhmZmZIn2Eu20i54IA1QDoB5JAsyIiIiZOnEgKXkvKWkNr165lz1QQieth4DxDUFxcjBgA/UASaJmSpwqqqqqOHj1KRKtXrxb7s/oIg/b29gULFixYsKC9vd1REAwePBgxAPoid3sKRFRYWEhEMTEx7m7wKYHf/va3RJSdnS3ZJ/Y4Z+BYRdrQ0MBmCF555RXMDYDeoCbQssmTJxuNxvr6+osXL8o9lh/hed7RGpLsQ/tuE/31r3+tra2Ni4vbsGEDqgHQGySBlvn7+0+bNo2U1yA6ffr0pUuXAgMDc3NzpfzcPsLgv/7rv4iorq7ObrcjBkBvkAQap8yHWbIdJhYtWhQeHi7xR3cJg/Lycna8rq6OiHieRwyADnE8z8s9BhDRhQsXxo4dGxQU1NzcHBAQIPdwiIgsFsugQYMaGho+/fRTYW8tdl1tbe306dOvXLkyaNCg6upqx3HEAOgTagKNGzNmTFxcXFtb2/Hjx+UeywNHjhxpaGiIiYmZPXu2XGNwVAbOMeDn54cYAH1CEmgcx3FsLalyGkSsNZSXl+fr6yvjMFgYxMTEsC85jisrK0MMgD4hCbRPUXcV3L17d//+/eT1c2kE0draarFY2O+3bt2KGADdQhJoH0uCsrKy5uZmucdCu3bt6ujoGDNmzMMPPyzvSK5fv56Tk9Pc3Dx48OCNGzeuXLlS3vEAyAhJoH2DBg0aOXIkz/Psnl55sdaQ2DtMMK+99hrHcY2NjV2Ojxkz5tFHH83JyamqqkpPTz916tRLL70k9mAAlAxJoAtsLansDaLy8vKioiKO41atWiXjMDo7O8+ePctioKCggN1aDKBnSAJdUMhdBVu2bCGiWbNmDRo0SK4xXL9+vaKiorOzEzEA4IAk0IVp06b5+vqyH4JyjYHneUdrSK4xsLkBq9UaFBSEGABwQBLoQmho6KRJk0jWsuDkyZPXrl0LDg5++umnZRkAi4Gqqip/f/+HH34YMQDggCTQC9nXkrIt55YsWRIcHCz9pztiID09PTk5WfCHZQKoGpJAL9hUQX5+vs1mk/7TOzo6PvroI5KpNeQcAwUFBfLe0QagQEgCvcjMzAwNDW1qajp79qz0n/7pp582NzcnJibm5ORI/NEVFRXOMcCaQhKsYQVQESSBXvj6+k6fPp1kahCx1lBeXh57CIw0AgMDiWjhwoVdYsBsNrOXAIBBEuiIXGtJGxsbP/30U5J8hwn24762trZLDFRWViYlJUk5EgCFQxLoCJs0Li4ubmtrk/JzP/roI6vVOmHChNGjR0v2odevX1+/fj0RhYSE5OfnO1YKbdq0yWq1zps3T7KRACgfps50ZMSIEYmJiVVVVcXFxaw+kIb0D6pkU8Q1NTXR0dGNjY3Lli1buHCh0Wg8fvz49u3bZ8+e/eSTT0o2GADlQ02gIxzHSb/txHfffXfq1CkfH58VK1ZI84nOK4UuXLiwZcsWm832+uuv/+IXvzhz5sy///u/HzhwwGDAn3yAH6Am0JdZs2Zt3rxZyiRg9xXPmzfP8SQAUXVZMBoXF5eXl5eXlyfBRwOoF/5lpC8zZ84korNnzzY0NEjwcXa7XcodJrrHgAQfCqABSAJ9iY2NZc9jyc/Pl+Djvvrqq1u3boWHh0vQl0cMAHgMSaA7Uq4lZXPFy5YtE3v9PmIAwBtIAt1xbEDE87yoH2Q2m3fv3k3it4YQAwBeQhLoTnZ2tr+//61bt65evSrqB+3fv//+/fvJyclTpkwR71MQAwDeQxLojtFoZD+axW4QsdbQmjVrxNvkBzEAIAgkgR5JsEN1bW3t559/TmLuMIEYABAKkkCP2KRxQUGB1WoV6SO2bdtmt9uzsrLS0tLEuD5iAEBASAI9euSRRwYMGNDS0lJWVibSRzhaQ2JcHDEAICwkgR75+PjMmDGDRGsQnT9//ty5c/7+/suWLRP84ogBAMEhCXRK1LsK2H3FTz75ZGRkpLBXRgwAiIETe1E5KNP169fT0tL8/PyamppCQkIEvLLVah08eHBtbe2+ffueeuopAa+MGAAQCWoCnUpNTU1OTrZYLF999ZWwV87Pz6+trY2KihL2GQCIAQDxIAn0S6S1pKw1tHLlSn9/f6GuiRgAEBWSQL/EeFbB/fv3P/74YxJ01RBiAEBsSAL9mjFjBsdx3377bU1NjVDX3LNnT1tb24gRIyZOnCjIBREDABJAEuhXVFTUI488QoKuIHI8jUCQHSYQAwDSQBLomrBrSW/dulVQUEBEq1ev9v5qiAEAySAJdE3YHaq3bt3K83xOTs6QIUO8vBRiAEBKSAJdmzJlSmBgYE1NzaVLl7y8FM/zQj2oEjEAIDEkga4FBgZmZ2eTEA2ib7755vLly0FBQUuWLPHmOogBAOkhCfROqLsK2JZzixYtCgsL8/giiAEAWSAJ9I5NGhcWFlosFo8vYrFYtm/fTt61hhADAHJBEujd2LFjBw4c2NraevLkSY8vcvjw4cbGxri4OFZheAAxACAjJIHeGQyGmTNnkndTBaw1lJeX5+vr68HbEQMA8kISgLdTBc3NzQcOHCBPd5hADADIDkkAD6YKTp061dLS4sHbd+3a1dnZOXbs2HHjxrn7XsQAgBIgCYCGDBkyfPhwm81WWFjowdtZa8iDuWLEAIBCIAmAyIsG0fXr10tKSgwGw6pVq9x9I2IAQCGQBEDkxQZEW7ZsYW+Pj493/V2IAQBFQRIAEVFOTo7BYPjuu+8qKytdfxfP8x60hhADAEqDJAAiooiIiMzMTHKzQXT8+PHy8vKQkJBFixa5+BbEAIACIQngAQ8aRKwgyM3NNRqNrpyPGABQJiQBPMAmjb/88ku73e7K+e3t7Tt37iSXW0OIAQDFQhLAA5MmTQoODm5oaLhw4YIr5x88ePDu3buDBw+eNm1avycjBgCUDEkAD/j7+7Of6S5OFbDW0OrVqw2Gfv4UIQYAFA5JAD9gUwWuJEFDQ8OhQ4fIhR0mEAMAyockgB+wJCgqKmpvb+/7zB07dlit1okTJ44cObKP0xADAKqAJIAfjBo1Kj4+vq2t7fjx432fyVpDfRcEiAEAtUASwA84jnOsIOrjtMuXL5eVlfn6+q5YsaK3cxADACqCJIAfcWUDIvbk+vnz5w8cOLDHExADAOrC8Twv9xhAQW7fvj1o0CCO4xoaGqKiorqfYLfbk5KSqqqqdu3alZub2/0ExACA6qAmgB9JSEgYPXo0z/MFBQU9nlBYWFhVVRUREfHEE090fxUxAKBGSALoqu8GEWsNLV++PDAwsMtLiAEAlUISQFd9bEDU2tq6e/du6mmHCcQAgHohCaCr7OxsX1/f8vLy8vLyLi/t27fPZDKlpqZOnjzZ+ThiAEDVkATQVWhoKPtB370sYK2hNWvWcBznOIgYAFA7JAH0oMdtJ27fvs2OON9QhhgA0AAkAfSATRrn5+fbbDbHwW3bttnt9ilTpqSkpLAjiAEAbUASQA8mTpwYFhbW3Nx85swZx0HWGnLMFSMGADQDSQA98PX1nT59Ojk1iM6dO3f+/PmAgIClS5cSYgBAW5AE0LMua0nZlnMLFy4cMGAAYgBAY7DbBPTsu+++S09P9/f3b25u9vf3T0xMrKurO3DgwKhRoxADABrjK/cAQKGGDx8+ePDgysrKoqIinufr6uqio6OHDRuGGADQHnSHoGccxzkaRKw1tGDBgscffxwxAKA96A5Br7Zv375q1aoxY8Zcu3atvb09Jiamvr4eMQCgPUgC6FV9fX1sbCz7va+vr9VqRQwAaBK6Q9CrmJiYcePGsd8jBgA0DEkAfUlPT2e/SU1NRQwAaBWSAPpSVVVFRBzHFRUVIQYAtApJAH05fPjwvHnz/vrXv8bHx8s9FgAQC2aMAQD0DjWBfs2bN2/AgAF1dXXOB1taWuLj4x999FG73S7XwABAYkgC/frTn/7U2dn585//3Pngq6++2tjYuGnTJoMBfzYA9AJ/2/UrOTn517/+9fbt2z///HN2pLS09N13333llVcci0cBQA8wT6BrVqt1woQJra2tFy9e9PPzy8zMbG5uvnjxotFolHtoACAd7ECna76+vps2bcrKyvqP//iPmJiY06dPHz58GDEAoDeoCYBeeuml9957LyAg4Mknn9y2bZvcwwEAqSEJgO7duzdixAiz2fz99987NhoCAP1AdwgoLCxsxIgRjY2NiAEAfcLaIQAAvUMSAADoHZIAAEDvkAQAAHqHJAAA0DusIgUA0DvUBAAAeockAADQOyQBAIDeIQkAAPQOSQAAoHdIAgAAvUMSAADoHZIAAEDvkAQAAHqHJAAA0DskAQCA3iEJAAD07v8DegkRxBClQ1MAAAAASUVORK5CYII=", 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<image>
# 顶点坐标 coordinates = {'F': (0.89, 0.61), 'E': (0.5, 1.0), 'W': (0.11, 0.61), 'U': (0.5, 0.22), 'Y': (0.28, 0.0), 'M': (0.5, 0.61), 'C': (0.69, 0.61)} radius = 0.0 connection_dict = {'F': ['E', 'U', 'Y', 'C', 'M'], 'E': ['F', 'W', 'M', 'U'], 'W': ['E', 'U', 'Y'], 'U': ['W', 'F', 'Y', 'M', 'E'], 'Y': ['W', 'U', 'F'], 'M': ['U', 'E', 'Y', 'C', 'F'], 'C': ['M', 'F', 'U']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (1.0, 0.5), 'C': (0.5, 1.0), 'T': (0.0, 0.5), 'U': (0.5, 0.0), 'R': (0.5, 0.5), 'Y': (0.25, 0.25)} radius = 0.0 connection_dict = {'J': ['C', 'U'], 'C': ['J', 'T', 'R', 'U'], 'T': ['C', 'U', 'Y'], 'U': ['T', 'J', 'R', 'C', 'Y'], 'R': ['U', 'C', 'J'], 'Y': ['T', 'U', 'R']}
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", 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<image>
# 顶点坐标 coordinates = {'J': (0.98, 0.5), 'Z': (0.61, 1.0), 'C': (0.02, 0.81), 'L': (0.02, 0.19), 'H': (0.61, 0.0), 'E': (0.5, 0.35), 'T': (0.57, 0.28), 'Y': (0.3, 0.24)} radius = 0.0 connection_dict = {'J': ['Z', 'H', 'E', 'L'], 'Z': ['J', 'C', 'H'], 'C': ['Z', 'L', 'H', 'T'], 'L': ['C', 'H', 'E', 'J', 'Y', 'T'], 'H': ['L', 'J', 'E', 'C', 'Z', 'T'], 'E': ['H', 'L', 'J', 'T'], 'T': ['H', 'E', 'C', 'Y', 'L'], 'Y': ['L', 'T', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.0, 0.12), 'H': (1.0, 0.12), 'C': (1.0, 0.88), 'I': (0.0, 0.88), 'B': (0.5, 0.5), 'D': (0.5, 0.88), 'K': (0.32, 0.64)} radius = 0.0 connection_dict = {'L': ['H', 'I'], 'H': ['L', 'C', 'I', 'B'], 'C': ['H', 'I', 'D'], 'I': ['L', 'C', 'H', 'B', 'D', 'K'], 'B': ['H', 'I', 'D', 'K'], 'D': ['C', 'I', 'B', 'K'], 'K': ['I', 'B', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'P': (0.87, 0.27), 'G': (0.4, 0.54), 'K': (0.4, 0.0), 'M': (0.63, 0.13), 'I': (0.63, 0.4), 'X': (0.13, 1.0)} radius = 0.0 connection_dict = {'P': ['G', 'K', 'M', 'I'], 'G': ['P', 'K', 'I', 'X'], 'K': ['G', 'P', 'M', 'X'], 'M': ['K', 'P', 'G', 'I', 'X'], 'I': ['M', 'P', 'G'], 'X': ['K', 'G', 'M']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'K': (0.69, 0.71), 'E': (0.37, 0.89), 'G': (1.0, 0.53), 'Y': (0.72, 0.41), 'V': (0.0, 0.11)} radius = 0.4832939081642957 # 连接关系 connection_dict = {'O': ['Y', 'G'], 'E': ['G', 'K'], 'G': ['E', 'K', 'Y', 'O'], 'K': ['E', 'G', 'Y'], 'Y': ['O', 'G', 'K', 'V'], 'V': ['Y']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.46, 0.4), 'P': (1.0, 0.4), 'J': (0.73, 0.87), 'Q': (0.87, 0.63), 'Z': (0.0, 0.13)} radius = 0.5358983848622453 # 连接关系 connection_dict = {'O': ['P', 'J'], 'P': ['O', 'Q', 'J'], 'J': ['O', 'Q', 'P'], 'Z': ['Q'], 'Q': ['Z', 'J', 'P']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.09, 0.0), 'E': (0.99, 0.0), 'J': (0.01, 1.0)} radius = 0.0 connection_dict = {'L': ['E', 'J'], 'E': ['L', 'J'], 'J': ['L', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.67, 0.51), 'H': (0.56, 0.0), 'D': (0.18, 0.67), 'I': (0.53, 0.07), 'V': (0.82, 1.0)} radius = 0.5174833246053502 # 连接关系 connection_dict = {'O': ['I'], 'H': ['D', 'I'], 'D': ['H', 'I'], 'I': ['H', 'D', 'O', 'V'], 'V': ['I']}
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", 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<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.19), 'F': (0.43, 0.19), 'E': (1.0, 0.81), 'I': (0.57, 0.81), 'J': (0.5, 0.5), 'D': (0.39, 0.61)} radius = 0.0 connection_dict = {'K': ['F', 'I', 'E', 'J', 'D'], 'F': ['K', 'E', 'I', 'J'], 'E': ['F', 'I', 'K', 'J'], 'I': ['K', 'E', 'F', 'J', 'D'], 'J': ['K', 'E', 'F', 'I', 'D'], 'D': ['I', 'K', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.0, 0.07), 'J': (1.0, 0.07), 'E': (0.5, 0.93), 'B': (0.5, 0.07)} radius = 0.0 connection_dict = {'G': ['J', 'E', 'B'], 'J': ['G', 'E', 'B'], 'E': ['G', 'J', 'B'], 'B': ['G', 'J', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'F': (0.0, 0.36), 'B': (1.0, 0.36), 'A': (0.23, 0.64)} radius = 0.0 connection_dict = {'F': ['B', 'A'], 'B': ['F', 'A'], 'A': ['F', 'B']}
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", 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<image>
# 顶点坐标 coordinates = {'J': (0.98, 0.5), 'B': (0.61, 1.0), 'A': (0.02, 0.81), 'C': (0.02, 0.19), 'V': (0.61, 0.0), 'W': (0.32, 0.6), 'U': (0.79, 0.25)} radius = 0.0 connection_dict = {'J': ['B', 'V', 'A', 'U'], 'B': ['J', 'A', 'W', 'C'], 'A': ['B', 'C', 'W', 'J', 'V'], 'C': ['A', 'V', 'W', 'B'], 'V': ['C', 'J', 'A', 'U'], 'W': ['A', 'C', 'B', 'U'], 'U': ['V', 'J', 'W']}
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", 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<image>
# 顶点坐标 coordinates = {'B': (0.0, 0.44), 'J': (0.7, 0.44), 'I': (1.0, 0.63), 'G': (0.74, 0.63), 'F': (0.5, 0.53), 'A': (0.6, 0.37)} radius = 0.0 connection_dict = {'B': ['J', 'G', 'I', 'F'], 'J': ['B', 'I', 'A'], 'I': ['J', 'G', 'B', 'F', 'A'], 'G': ['B', 'I'], 'F': ['B', 'I', 'A'], 'A': ['J', 'I', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (1.0, 0.5), 'M': (0.75, 0.93), 'N': (0.25, 0.93), 'W': (0.0, 0.5), 'C': (0.25, 0.07), 'H': (0.75, 0.07), 'S': (0.75, 0.5), 'G': (0.5, 0.5), 'Y': (0.58, 0.37)} radius = 0.0 connection_dict = {'J': ['M', 'H', 'G', 'W'], 'M': ['J', 'N', 'S', 'H'], 'N': ['M', 'W'], 'W': ['N', 'C', 'G', 'J', 'Y'], 'C': ['W', 'H'], 'H': ['C', 'J', 'S', 'M', 'Y', 'G'], 'S': ['M', 'H', 'J'], 'G': ['W', 'J', 'Y', 'H'], 'Y': ['G', 'H', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (0.98, 0.5), 'K': (0.61, 1.0), 'C': (0.02, 0.81), 'M': (0.02, 0.19), 'G': (0.61, 0.0), 'V': (0.02, 1.0)} radius = 0.0 connection_dict = {'Q': ['K', 'G'], 'K': ['Q', 'C', 'V'], 'C': ['K', 'M', 'V'], 'M': ['C', 'G', 'V'], 'G': ['M', 'Q'], 'V': ['K', 'C', 'M']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.76, 0.53), 'D': (0.65, 0.0), 'I': (0.24, 0.7), 'N': (0.49, 1.0), 'X': (0.36, 0.85)} radius = 0.54163453382386 # 连接关系 connection_dict = {'O': ['N', 'X'], 'D': ['I'], 'I': ['D', 'X', 'N'], 'N': ['O', 'X', 'I'], 'X': ['N', 'I', 'O']}