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answer
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", 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<image>
# 顶点坐标 coordinates = {'C': (0.1, 0.23), 'L': (0.9, 0.23), 'H': (1.0, 0.77), 'D': (0.0, 0.77), 'A': (0.45, 0.5), 'K': (0.95, 0.48), 'B': (0.27, 0.36)} radius = 0.0 connection_dict = {'C': ['L', 'D', 'B'], 'L': ['C', 'H', 'D', 'A', 'K'], 'H': ['L', 'D', 'K'], 'D': ['C', 'H', 'L', 'A'], 'A': ['L', 'D', 'K', 'B'], 'K': ['L', 'H', 'A', 'B'], 'B': ['C', 'A', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'N': (0.5, 0.69), 'K': (0.0, 0.98), 'D': (1.0, 0.4)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': [], 'K': ['D', 'N'], 'D': ['K', 'N'], 'N': ['K', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.46, 0.27), 'D': (1.0, 0.27), 'Q': (0.0, 0.54), 'R': (0.2, 0.73), 'Z': (0.07, 0.6)} radius = 0.5358983848622454 # 连接关系 connection_dict = {'O': ['D', 'Q', 'Z'], 'D': ['O', 'R'], 'Q': ['O', 'Z', 'R'], 'R': ['D', 'Z', 'Q'], 'Z': ['Q', 'R', 'O']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.2, 0.0), 'C': (0.8, 0.0), 'A': (0.8, 1.0), 'K': (0.2, 1.0)} radius = 0.0 connection_dict = {'I': ['C', 'K'], 'C': ['I', 'A'], 'A': ['C', 'K'], 'K': ['I', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.5, 0.67), 'F': (0.4, 0.16), 'P': (0.0, 0.84), 'J': (1.0, 0.51)} radius = 0.5275252316519466 # 连接关系 connection_dict = {'O': [], 'F': ['P'], 'P': ['F', 'J'], 'J': ['P']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.0, 0.18), 'E': (0.94, 0.18), 'C': (1.0, 0.82), 'L': (0.53, 0.82), 'B': (0.74, 0.5)} radius = 0.0 connection_dict = {'D': ['E', 'L'], 'E': ['D', 'C', 'L', 'B'], 'C': ['E', 'L'], 'L': ['D', 'C', 'E', 'B'], 'B': ['E', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Z': (1.0, 0.36), 'U': (0.5, 0.64), 'W': (0.5, 0.07), 'E': (0.5, 0.36), 'L': (0.0, 0.93), 'J': (0.75, 0.36)} radius = 0.0 connection_dict = {'Z': ['U', 'W', 'L', 'J'], 'U': ['Z', 'W', 'E', 'L'], 'W': ['U', 'Z', 'E', 'L'], 'E': ['W', 'U', 'Z', 'J'], 'L': ['W', 'U', 'Z'], 'J': ['Z', 'E', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.06, 0.21), 'C': (1.0, 0.21), 'E': (0.0, 0.79), 'G': (0.5, 0.5)} radius = 0.0 connection_dict = {'I': ['C', 'E', 'G'], 'C': ['I', 'E', 'G'], 'E': ['I', 'C', 'G'], 'G': ['E', 'C', 'I']}
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ERNq5AOB/0AQyQ0NDIyQkhBCybNmyzMxM2nF+AcMwgwcPTk1NXbhwobq6+uXLlx0cHP7555/c3Fza0QCAEDSBbBk4cGDbtm0/fvw4d+5c2ll+mYaGhp+fX2pq6pAhQ4RC4aZNm3g83ooVK6Tt9mkABYQmkCUMw4SHhzMMEx0dLaMTmJibm0dHR1+5csXBwaGwsHD27Nl2dnbHjx+nnQtAoaEJZIyDg8P48eMJIa6urrJ731abNm1u3bq1ZcsWExOT9PT0nj179ujRIzU1lXYuAAWFJpA9ixcv1tHRuXPnzo4dO2hn+X0cDmfcuHF8Pn/OnDnKysonT560s7Nzd3d///497WgACgdNIHuqVau2YMECQsi8efMKCwtpx/kjOjo6wcHBDx8+7NOnT0VFRXh4uKWl5YYNG76YxBEAxApNIJNmzJjB4/FycnKWLFlCO4sI8Hi8w4cPnzp1ysbG5u3bt5MnT3ZwcLhw4QLtXACKAk0gk1RUVFasWEEICQsLe/z4Me04otG1a9fExMSVK1fq6+snJSV16tRpwIABGRkZtHMByD80gazq2bNnt27dysvLPTw8aGcRGWVl5RkzZvD5/GnTpnE4nAMHDlhbW/v4+BQVFdGOBiDP0ASyimGYsLAwLpd7+PDhM2fO0I4jSoaGhqtXr05MTOzUqdOnT5+WLFliZWW1c+dO2b1WCkDKoQlkmLW19fTp0wkhbm5uFRUVtOOImJ2d3dmzZw8ePFivXr3s7OxRo0Y5OTnduHGDdi4AOYQmkG1+fn6GhoaPHj1av3497SyixzBMv379Hj16tGzZMi0trRs3brRs2XL06NHZ2dm0owHIFTSBbNPX11+0aBEhZMGCBXl5ebTjiIWqqurcuXPT09PHjBlDCImMjLS0tFy6dGlpaSntaAByAk0g8yZOnGhnZ/f+/fuFCxfSziJG1atX37Zt282bN1u1alVcXOzt7W1tbR0bG4sxrgH+HJpA5ikpKYWHhxNC1q1bl5ycTDuOeDVr1iwhIWH37t1mZmbPnj1zcXHp3LlzUlIS7VwAsg1NIA86derUv3//yspKNzc3uf+OzDDMsGHD0tLSfH191dTULly40KRJkylTprx9+5Z2NABZhSaQEyEhISoqKufOnTty5AjtLJKgqakZEBCQmpo6aNAggUCwfv16Ho8XERFRXl5OOxqA7EETyIl69erNnj2bEDJ79uxPnz7RjiMhtWvX3rt376VLlxo3bpyfn+/m5taoUaOTJ0/SzgUgY9AE8mPevHnVq1d/8uRJREQE7SwS1a5du9u3b2/cuNHY2Dg1NbVHjx69evVKT0+nnQtAZqAJ5Ie2tvayZcsIIYsWLXr9+jXtOBLF5XInTpyYnp4+a9YsJSWlY8eONWzY0MPDo6CggHY0ABmAJpArI0aMaN68eVFR0fz582lnoUBPTy80NDQ5Oblnz57l5eWhoaE8Hm/Tpk0Y4xrg+9AEcoXD4bCHhrZt23br1i3aceiwsrKKi4s7fvy4lZXVmzdv/vnnH0dHx8uXL9POBSC90ATypmXLliNGjCCEKMIVpd/Ro0ePBw8ehIWF6erqJiYmtm/ffvDgwc+fP6edC0AaoQnk0LJlyzQ0NK5evbpnzx7aWWhSVlZ2c3Pj8/mTJ0/mcDj79u1r0KCBn59fcXEx7WgA0gVNIIfMzMzY8wSenp741DM2Nl63bt3du3c7dOhQWloaEBBgZWUVFRWlyDtMAF9AE8inWbNm1alTJysrKzg4mHYWqWBvb3/+/PmYmJg6deq8fPly+PDhbdq0uX37Nu1cAFIBTSCf1NXVQ0JCCCHBwcE4OM5iGMbFxSUlJWXJkiWamppXr15t1qzZuHHjFO2KW4CvoQnklouLS/v27UtLSz09PWlnkSJqamrz589PS0sbOXIkIWTbtm08Hi8oKEhxbswG+BqaQG4xDBMeHs6eKb1y5QrtONLFzMwsMjLy+vXr7O0XXl5etra2hw8fxskDUExoAnnWuHHjiRMnEkJcXV1xd9XXWrRoce3atcjISHaUjn79+nXp0kXuR/YG+BqaQM4tWrRIV1f33r1727Zto51FGnE4nJEjR6anp8+fP19VVfXcuXP29vbTp0+X1wngAKqEJpBzxsbGfn5+hJD58+djEJ5v0dLSWrJkSUpKiouLi0AgWLNmDY/HW716dUVFBe1oAJKAJpB/06ZNY8ddYGc8hm+pW7duTEzM+fPnGzVq9P79+xkzZjRu3PjMmTO0cwGIHZpA/qmoqISFhRFCVq5cibGaf6hjx4537txZt26doaHhw4cPu3bt2rdv38ePH9POBSBGaAKF0KNHD2dn5/LycnY2G/g+JSWlyZMn8/l8Nzc3JSWlI0eO2NjYzJ07t7CwkHY0ALFAEyiKFStWKCkpxcXFYUqvn6Svrx8WFpaUlNStW7fy8vLg4GBLS8utW7cKBALa0QBEDE2gKKysrGbMmEEIcXd3x2S/P8/a2vrEiRNxcXE8Hi8nJ2f8+PHNmzdPSEignQtAlNAECmTBggVGRkapqalr166lnUWWMAzTs2fP5OTk0NBQHR2dO3futGnTZtiwYZmZmbSjAYgGmkCB6OnpLVmyhBCycOHCt2/f0o4jY1RUVGbNmsXn8ydOnMgwTHR0tJWVlb+/f0lJCe1oAH8KTaBYxo8fb29vn5+fv2DBAtpZZJKJicnGjRvv3LnTtm3bjx8/Lly4sEGDBnv37sUwFSDT0ASKhcvlstNbbtiwISkpiXYcWdWkSZNLly7t3bvX3Nw8MzNzyJAh7dq1u3v3Lu1cAL8JTaBw2rdvP2DAAIFAoODTW/4hhmEGDRqUmpoaEBCgrq4eHx/v6Og4ceLEnJwc2tEAfhmaQBGFhISoqqpeuHDh4MGDtLPINnV1dV9f37S0tGHDhgmFws2bN/N4vOXLl5eVldGOBvAL0ASKqE6dOnPmzCGEeHh4lJaW0o4j82rVqrV79+6EhARHR8cPHz7MmTOnYcOGcXFx2OUCWYEmUFBeXl5mZmYZGRnsQBTw55ycnG7cuLFt27Zq1arx+fzevXt379790aNHtHMB/BiaQEFpamoGBQURQpYsWZKdnU07jpzgcDhjxoxJT0+fO3euiorK6dOnGzVq5Orq+v79e9rRAL4HTaC4hg0b1rJly+Li4nnz5tHOIld0dHSWLVv26NGjfv36VVZWrly5ksfjrVu3DmNcg9RCEyguhmHYK0ojIyNv3LhBO468sbCwOHjw4JkzZ2xtbfPy8qZOnerg4HD+/HnauQCqgCZQaM2bNx89ejQhxNXVFQOricNff/2VmJi4Zs0aAwODBw8edO7cuX///k+fPqWdC+D/QBMousDAQC0trRs3bkRFRdHOIp+UlJSmTp3K5/NnzJjB5XIPHjxobW09f/78Dx8+0I4G8C80gaKrXr26t7c3IWTu3LlFRUW048gtAwODlStX3r9/v0uXLmVlZYGBgZaWljt27MCuGEgDNAEQNze3unXrZmdnL1u2jHYWOWdra3vq1KnDhw9bWFi8fv16zJgxLVu2vH79Ou1coOjQBEDU1NRCQ0MJIcuXL8/IyKAdR84xDNOnT5+HDx8GBwdra2vfunWrVatWI0eOfPnyJe1ooLjQBEAIIf369evUqdOnT588PT1pZ1EIqqqqc+bMSU9PHzduHMMwu3btsrS0XLx48cePH2lHA0WEJgBCCGEYJjw8nMPhxMTEXLx4kXYcRWFqarply5abN286OTmVlJT4+vpaW1vHxMRgmAqQMDQB/MvOzm7y5MmEEFdX18rKStpxFIijo2N8fHx0dHTNmjWfP38+cODAjh07JiYm0s4FCgRNAP/j7++vp6eXlJS0efNm2lkUC8MwQ4YMSUtL8/PzU1NTu3TpUtOmTSdNmvTmzRva0UAhoAngf4yMjPz9/QkhPj4++fn5tOMoHA0NjYULF6alpQ0ZMkQgEGzcuJHH44WFhWGMaxA3NAH8H1OmTLG2tn779m1AQADtLArK3Nw8Ojr68uXLTZo0KSgomDVrVqNGjU6cOEE7F8gzNAH8H8rKyuw41atWrUpNTaUdR3G1bdv21q1bmzdvNjExSUtLc3Z2dnZ2xp8IiAmaAL7UrVu33r17V1RUzJo1i3YWhcblcsePH5+enu7h4aGsrHzixAk7O7tZs2bhwB2IHJoAqhAaGsp+9Bw/fpx2FkWnq6sbEhLy8OFDtp7DwsJ4PN7GjRtxfReIEJoAqsDj8VxdXQkh7u7uOF0pDXg83pEjR06ePMmexZk0aVLTpk1x5weICpoAqubj42NiYpKenr5mzRraWeBf3bp1u3///sqVK/X09O7fv9+xY8eBAwc+e/aMdi6QeWgCqJquru7SpUsJIf7+/rm5ubTjwL+UlZVnzJjB5/OnTp3K3hPeoEEDHx8fjCMLfwJNAN80ZswYBweHgoICX19f2lng/zAyMlqzZk1iYiI7WtSSJUusrKx27dqFMa7h96AJ4Ju4XG54eDghZNOmTRj8QArZ2dmdPXv24MGD7KDiI0eObN269c2bN2nnAtmDJoDvadu27eDBg4VCoZubG4ZFk0IMw/Tr1+/Ro0eBgYGamprXr19v0aLFmDFjsrOzaUcDWYImgB8IDg5mR8I5cOAA7SxQNTU1NS8vr/T0dHZW6h07dlhaWgYGBpaWltKOBrIBTQA/YG5uPnfuXEKIh4cHRs+XZjVq1Ni+ffuNGzdatmxZXFw8f/58GxubgwcPYmcOfghNAD/m6enJDpjMTm0G0qx58+YJCQm7du2qUaNGRkZG//79//rrrwcPHtDOBVINTQA/pqGhERwcTAgJDAzEJIvSj8PhDB8+PC0tzcfHR1VV9fz5840bN546derbt29pRwMphSaAnzJkyJDWrVuXlJR4eXnRzgI/RUtLa9GiRampqQMHDhQIBOvWrePxeCtXriwvL6cdDaQOmgB+CsMwERER7Iy7165dox0HfladOnX27dt38eJFe3v7/Px8V1dXe3v7U6dO0c4F0gVNAD+radOmY8eOJYS4urriDibZ0r59+zt37mzYsMHIyCglJaV79+69e/dOT0+nnQukBZoAfsGSJUu0tbVv3bq1c+dO2lng13C53H/++YfP57u7uyspKcXFxTVs2HDOnDkFBQW0owF9aAL4Baampj4+PoQQLy+vDx8+0I4Dv0xPT2/FihXJycnOzs7l5eXLly+3tLTcsmULxrhWcGgC+DWurq4WFhavX78ODAyknQV+k5WV1bFjx44dO2ZlZZWbmzthwoRmzZpduXKFdi6gBk0Av0ZVVXXFihWEkNDQ0KdPn9KOA7/P2dn5wYMHYWFhurq69+7da9eu3ZAhQ168eEE7F1CAJoBf1rt37y5dupSVlXl4eNDOAn9EWVnZzc2Nz+dPmjSJYZi9e/daWVn5+fkVFxfTjgYShSaAX8YwTFhYGJfLPXjw4Llz52jHgT9lbGy8fv36u3fvtm/fvrS0NCAgoEGDBtHR0RimQnGgCeB32NraTpkyhRDi5uZWUVFBOw6IQOPGjS9cuBATE1O7du2srKxhw4a1bdv2zp07tHOBJKAJ4Df5+/sbGBgkJydv2rSJdhYQDYZhXFxcUlJSFi9erKGhkZCQ0KxZs3Hjxr1+/Zp2NBAvNAH8JgMDg4CAAEKIr6/vu3fvaMcBkVFXV/f29k5PTx85cqRQKNy2bZulpWVwcPCnT59oRwNxQRPA75s0aZKtrW1eXp6/vz/tLCBiZmZmkZGR165da968+YcPH+bOnWtra3v48GGcPJBLaAL4fUpKShEREYSQNWvWPHr0iHYcEL2WLVteu3Ztx44d1atXf/LkSb9+/bp27frw4UPauUDE0ATwRzp37ty3b9/Kykp3d3d8W5RLHA5n1KhRaWlp8+bNU1FROXv2rL29/YwZM3BIUJ6gCeBPLV++XEVF5fTp08eOHaOdBcRFW1t76dKlKSkp/fv3r6ysXL16NY/HW7NmDa4ckw9oAvhT9evXd3d3J4S4u7uXlZXRjgNiVK9evQMHDpw7d87Ozu7du3fTp09v3Ljx2bNnaeeCP4UmABHw9vY2NTV9/PjxypUraWcBsevUqdPdu3fXrl1raGj48OHDLl269OvX7/Hjx7Rzwe9DE4AIaGtrswPSBQQE5OTk0I4DYqekpDRlyhQ+n+/q6srlcg8fPmxra4sRamUXmgBEY9SoUY6Ojh8+fPD29qadBSREX18/PDw8KSmpa9euZWVlQUFBlpaW27dvx0RGMgdNAKLB4XDYK0q3bt169+5d2nFAcmxsbE6ePHn06FEej/f69euxY8e2aNHi6tWrtHPBL0ATgMg4OTkNGzZMKBS6urriilKFwjBMr169kpOTly9frqOjc/v27datWw8fPjwrK4t2NPgpaAIQpaCgIA0Njfj4+H379tHOApKmoqIye/bs9PT0CRMmMAwTFRVlZWUVEBBQUlJCOxr8AJoARKlmzZpeXl6EkDlz5uDfv2KqVq3apk2bbt++3aZNm5KSEj8/P2tr63379mE3UZqhCUDEPDw8zM3NMzMzQ0JCaGcBahwcHC5fvrx3795atWq9ePFi8ODB7du3v3fvHu1cUDU0AYiYuro62wFBQUGZmZm04wA1DMMMGjQoNTXV399fXV39ypUrTZs2nThxYm5uLu1o8CU0AYjewIED27Zt+/Hjx7lz59LOApRpaGgsWLAgLS2NvZpg8+bNPB4vNDQUt6NLFTQBiB7DMBEREQzDREdHx8fH044D9NWqVWv37t3x8fFNmzYtLCz08PBo2LBhXFwcTh5ICTQBiEWTJk0mTJhACHF1dcV9RsBq3br1zZs3t27dWq1aNT6f37t37x49eqSkpNDOBWgCEJvFixfr6OjcvXt3+/bttLOAtOBwOGPHjk1PT587d66KisqpU6fs7Ozc3Nzev39PO5pCQxOAuJiYmCxYsIAQMn/+/MLCQtpxQIro6OgsW7bs4cOH7OQWERERPB5v/fr1GOOaFjQBiNGMGTN4PF5OTs6SJUtoZwGpU79+/UOHDp0+fdrGxiYvL2/KlCkODg4XLlygnUsRoQlAjFRUVMLCwgghYWFhfD6fdhyQRl26dLl///6qVav09fUfPHjQqVMnFxeXp0+f0s6lWNAEIF7Ozs7dunUrLy/38PCgnQWklJKS0vTp0/l8/vTp07lcbmxsrI2Njbe3d1FREe1oigJNAOLFMExYWBiXyz1y5MiZM2doxwHpZWhouGrVqsTExM6dO3/69Gnp0qWWlpaRkZG49kwC0AQgdtbW1tOnTyeEuLm54ZQgfF/Dhg3PnDlz6NAhCwuLV69ejR49ulWrVtevX6edS86hCUAS/Pz8DA0NHz16tH79etpZQNoxDNO3b9+HDx8GBQVpaWndvHmzVatWo0aNevnyJe1ocgtNAJKgr6+/ePFiQsiCBQvy8vJoxwEZoKqq6unpyefzx44dSwjZuXOnpaXlkiVLPn78SDuaHEITgIRMmDDBzs7u/fv3fn5+tLOAzDA1Nd26deutW7ecnJxKSkp8fHxsbGwOHDiAYSpEC00AEqKkpBQeHk4IWbduXXJyMu04IEscHR3j4+OjoqJq1qz57NmzAQMGqKiosH+dQCTQBCA5nTp16t+/v0AgcHNzw3c6+CUMwwwdOjQ2NtbQ0JAQUlFRMW/ePNqh5AeaACQqJCREVVX13LlzR44coZ0FZElRUVHv3r2bN2/OnmfS1NSMioqiHUp+oAlAourVqzd79mxCyKxZsz59+kQ7DsgAgUCwYMECAwODuLg4QoiGhsbatWuLior+/vtv2tHkB5oAJG3evHnVq1d/+vQpjvPCD8XFxZmYmCxatKi8vJwdx7SgoGDKlCm0c8kbNAFImpaW1rJlywghixcvfvXqFe04IKUyMjKaNGnSu3dv9nBQixYtnj9/vnXrViUlJdrR5BCaACgYMWJE8+bNi4qKvL29aWcBqVNaWjp06FALC4vExERCiKmp6dmzZ69fv16zZk3a0eQWmgAo4HA4ERERhJBt27bdunWLdhyQIqGhofr6+nv27BEKhaqqqoGBga9evercuTPtXHIOTQB0tGzZcuTIkYQQV1dXXFEKhJCLFy+amZl5eHiUlpYyDDNgwID8/HwvL6+ff4d9+/YxDHPw4MH/LrS3t2cY5otpD8zNzZ2cnESTWy6gCYCawMBADQ2Na9euRUdH084CNL1+/bp169YdO3bMzs4mhNjZ2aWlpe3fv19NTe2X3qdNmzaEkPj4+M9LCgsLk5OTlZSUEhISPi/MzMzMzMxkVwYWmgCoMTMzmz9/PiHE09OzuLiYdhygoKKi4p9//jEzM7t69SohxMDAIDY2Nikpicfj/ca71ahRo27duv9tgmvXrgmFwoEDB/53IfszmuC/0ARA06xZs+rUqfPy5cvg4GDaWUDSNm/erKent2nTJoFAoKSkNH/+/Ddv3vzhXQJt2rS5d+/e51HqEhISbG1te/Tocf369c/zHCQkJDAM07p16z/9H5AjaAKgSV1dffny5YSQ4ODg58+f044DEnL79u169epNnDiR3Rfs0aNHXl7ekiVLOJw//URq06ZNeXn5jRs32IcJCQlOTk5OTk4FBQWfR7tKSEho0KABO2oFsNAEQFn//v07dOhQWlrq6elJOwuI3bt377p06dKsWbOMjAxCCI/Hu3///vHjx3V0dETy/v89VVBRUXHjxo3WrVtbWFhUq1aNXfjhw4cHDx7g0NAX0ARAGcMw4eHhHA5n3759ly9fph0HxEUgEMyZM6datWpnz54lhGhra+/YsSM9Pb1Ro0Yi3Iq1tbWhoSH7oX///v3i4mL2GiEnJyf2pPG1a9cqKyvRBF9AEwB99vb2EydOJIS4urpWVlbSjgOit2/fPgMDg+XLl1dUVHC53OnTp+fn548aNUrkG2IYxsnJiT0rkJCQYGJiUr9+ffKfJmD/iyb4ApoApMKiRYt0dXUTExO3bdtGOwuIUkpKio2NzeDBgwsKCggh7du3z87OXrVq1Z+fEviWNm3aFBQUPHjwgD1JwC50cnJ6/vz5y5cv4+Pja9SoUa9ePTFtXUahCUAqGBsbL1y4kBAyf/589iMDZF1RUVG/fv1sbGxSUlIIIbVq1YqPj7948aKJiYlYt/v5VEFCQsLnC4SaNm2qqqp68eJF9syBWAPIIjQBSItp06Y1aNDgzZs3ixYtop0F/lRAQIChoeHhw4cJIerq6qtWrXrx4oVkPoIdHR3V1NR279798uXLz/sEqqqqDg4Oa9asKS4uxqGhr6EJQFooKyuvWLGCEBIREZGWlkY7DvymEydOmJiY+Pn5lZWVMQwzatSo/Pz86dOnSyyAiopKs2bNrl27pqqq2rRp08/LnZycrl27RnCSoCpoApAiPXr0cHZ2rqioYGezAdny/PlzR0dHZ2fnN2/eEEIcHR2fPXu2Y8cOFRUVCSdhP+vZI0KfF7J7JNra2vb29hLOI/0YDP4lQu7u7uzsK0VFRZqamrTjyKS0tLSGDRtWVFScOHGie/futOPATykrKxs3blxUVBT7eWJiYhIZGdmtWzfaueBnYZ8ApIuVldXMmTMJIe7u7uXl5bTjwI9FRETo6uru3r1bKBSqqKgsWrQoJycHNSBb0AQgdXx9fY2NjVNTU9euXUs7C3xPfHx8rVq13Nzc2HGk+/fv//79ex8fH9q54JehCUDq6OnpLV68mBDi5+fHHnEGaZObm9u2bdu2bdtmZWURQmxtbVNSUg4cOKChoUE7GvwONAFIo/Hjx9vb2xcUFCxYsIB2Fvg/BALB1KlTq1evzo7ooKent3///uTkZCsrK9rR4PehCUAacblcdnrLjRs3JiUl0Y4D/9qxY4euru66devYcaQ9PT3z8vIGDBhAOxf8KTQBSKn27dsPHDhQIBC4ubnhCjfqEhMT69evP2bMmKKiIkJI165d37x5ExQUJL5BI0CS8KcI0is4OFhNTe3ChQtfzEwLkpSfn9+9e/cmTZo8efKEEFKvXr07d+6cOnVKT0+PdjQQGTQBSK86dep4eHgQQmbPnl1aWko7jsIRCATz5s0zNjY+deoUIURTU3Pr1q1PnjxxcHCgHQ1EDE0AUs3Ly8vMzOzZs2fsQBQgMQcOHDAyMlq2bFlFRQWHw5k8eXJ+fv7YsWNp5wKxQBOAVNPU1AwKCiKELF26NDs7m3YchcDn8+3s7AYMGPD+/XtCSJs2bV6+fLlu3TolJSXa0UBc0AQg7YYNG9aqVavi4uJ58+bRziLnSkpKXFxcrKys2Cl/zczMLl26dOXKFVNTU9rRQLzQBCDtGIZhryiNjIz8PFM5fO3jR7JoEbl58zdfHhgYqK+vHxsbKxQK1dTUwsLCsrKy2rVrJ9KMIKXQBCADmjVrNnr0aEKIq6urQCCgHUdKeXuTBQuIqyv51Wtuz5w5Y2pqOn/+fHYc6eHDhxcUFLi5uYklJUglNAHIhsDAQC0trRs3buzevZt2Finl4UE0Ncn16yQq6mdfkpWV1bx5865du+bk5BBCHBwcMjIydu3aJflxpIEuNAHIhurVq3t7exNCvLy82Jub4As1ahBvb0II8fQkP/wNlZWVjRkzxtzc/NatW4QQY2PjY8eO3blzp3bt2uJPClIHTQAyw83NrV69etnZ2cuWLaOdRUq5u5O6dUl2NgkK+t5qa9eu1dPT27Fjh1AoVFZWXrhwYW5urrOzs6RigtRBE4DMUFNTCw0NJYQsX748IyODdhxppKZGQkMJISQkhDx7VsUK165dMzc3nzZt2sePHwkhffv2fffunZ+fn0RTgvRBE4As6du3b6dOnT59+jRnzhzaWaRUv36kY0fy6RP54jf09u3bDh06ODk5ZWZmEkIaNGiQnJx86NAhLS0tOkFBmqAJQJYwDBMeHs7hcA4cOHDx4kXacaQRw5DwcMLhkJgYcukSIYQIBIKZM2eamppeunSJEKKrq7tnz56UlBRbW1vKWUFqoAlAxtjZ2U2ePJkQ4urqWllZSTuONGrUiEyaRAghrq4kMnK3np7eqlWrKisruVzurFmz3r17N3jwYNoZQbqgCUD2BAQE6OvrJyUlbd68mXYWKRUQQLS1K+7fJ6NHX/rw4QMhpHPnzrm5uaGhoRhHGr6GvxMgewwNDf39/Qkh3t7e7Ng48F+FhYWjR/f88GEWIYSQJebmjW7evHn27FkDAwPKyUBaoQlAJk2ePNna2jovLy8gIIB2FikiEAh8fX2NjIyOHz9OyDqGSSXE2MXlfrNmzWhHA6mGJgCZpKysHBYWRghZvXp1amoq7ThS4fDhw8bGxosXLy4vL+dwOBMmjImL4xFCVq0iaWm0w4F0QxOArOrWrVvv3r0rKipmzZpFOwtlT548sbe379ev37t37wghrVq1yszM3LRpk7Mzt1cvUlFBFP43BD+AJgAZFhoaqqysfOLEiePHj9POQkdpaemgQYN4PF5SUhIhpHr16hcuXLh69WqNGjXYFUJDibIyOX6cKOpvCH4KmgBkGI/HY4fMdHd3Lysrox1H0kJCQvT09Pbv3y8UClVVVYODg7Ozszt06PDfdSwtiasrIYTMmkUU7zcEPwtNALLNx8fHxMQkPT199erVtLNIzvnz52vUqOHp6fnp0yeGYYYMGZKfn/+t+659fIixMUlLI2vWSDgmyAw0Acg2HR2dpUuXEkL8/f1zc3NpxxG77Ozsli1bdu7c+dWrV4QQe3t7Pp8fHR2tpqb2rZfo6pKlSwkhxN+fvHkjsaQgS9AEIPPGjBnj4OBQWFjo6+tLO4sYVVRUTJgwoVatWuzEbYaGhocPH05MTLSwsPjha8eOJU2akIICIte/Ifh9aAKQeVwul53ectOmTYmJibTjiMWGDRt0dXW3bNkiEAiUlZV9fX1zc3P79Onzky/ncklEBCGE7NyJ3QKoApoA5EGbNm2GDBkiFApdXV2Fvzp5o3S7detWnTp1Jk+eXFJSQgjp2bPn27dvAwICfnXQiLZtSXg4SU4mxsbiCQqyDE0AciIoKEhdXf3y5csxMTG0s4jGu3fvOnfu3Lx58+fPnxNCLC0tHzx4EBcXp6Oj83tv6OpK6tYVaUSQF2gCkBPm5uaenp6EEA8PD3YaFtklEAhmzZplYmJy/vx5QoiOjs6uXbvS0tIaNmxIOxrIJzQByA9PT8+aNWu+ePGCndpMRkVHR+vr64eFhbHjSM+cOfP9+/fDhw+nnQvkGZoA5IeGhkZISAghJDAwMCsri3acX/bw4UNra+thw4YVFhYSQjp06PD69euIiAiMIw3ihr9hIFcGDx7cunXrkpISLy8v2ll+QVFRUd++fRs2bMiOple7du3r169fuHDByMiIdjRQCGgCkCsMw0RERDAMs3v37qtXr9KO81P8/f0NDAyOHDlCCFFXV1+zZs2zZ89atGhBOxcoEDQByJumTZuOHTuWEOLq6ioQCGjH+Z64uDhjY+OFCxey40iPGTOmsLBw6tSptHOBwkETgBxasmSJtrb27du3d+7cSTtL1TIyMhwcHHr37v327VtCCHup6LZt25SUlGhHA0WEJgA5ZGpqyo484eXlxc7iKz3KysqGDRtmYWFx7949Qoipqenp06dv3LhRs2ZN2tFAcaEJQD7NnDmzfv36r1+/ZsenkxIrVqzQ1dWNjo5mx5EODAx89epVly5daOcCRYcmAPmkqqrK3lWwYsWKJ0+e0I5DLl++bGZmNnv27NLSUoZhBgwYkJ+fL1sXOIEcQxOA3Ordu3eXLl3Kyso8PDwoxnj9+nXr1q3bt2+fnZ1NCLGzs0tLS9u/f/93xpEGkDA0AcgthmHCwsK4XO6hQ4fOnTsn+QAVFRWTJ082MzNjr2fV19ePjY1NSkri8XiSDwPwHWgCkGe2trbsRZlubm4VFRWS3PSWLVv09PQ2bNggEAiUlJTmzZv39u3bv//+W5IZAH4SmgDk3MKFCw0MDJKTkzdu3CiZLd69e9fCwmLChAnFxcWEkO7du+fl5S1duhSDRoDUwl9NkHMGBgYBAQGEEF9f33fv3ol1W/n5+V27dm3atOnTp08JITwe7969eydOnPjtcaQBJANNAPJv0qRJtra27969W7hwoZg2IRAI5syZY2xsfObMGUKIlpbW9u3b09PTGzduLKYtAogQmgDkn5KSEju95dq1ax89eiTy94+JiTE0NFy+fHlFRQWHw5k6dWpBQcHo0aNFviEAMUETgELo3Llzv379Kisr3dzcRDi9ZUpKiq2t7cCBA/Pz8wkh7dq1e/Xq1Zo1a3BKAGQL/r6Coli+fLmKisqZM2fi4uL+/N1KSkr69+9va2vL7mTUqlUrPj7+0qVLJiYmf/7mABKGJgBFYWFh4e7uTgiZNWvWp0+f/uStFi9erK+vf/DgQaFQqK6uvnLlyhcvXrRu3VpESQEkDU0ACsTb29vU1PTx48crV678vXc4depUtWrVfH19y8rKGIYZOXJkfn7+jBkzRJsTQMLQBKBAtLW1AwMDCSGLFi3Kycn5pde+ePHC0dGxe/fuubm5hJCmTZs+e/YsMjJSRUVFLFkBJAhNAIpl1KhRjo6OHz588Pb2/smXlJWVjRo1qk6dOnfu3CGEmJiYHD9+/Pbt2+bm5uJMCiA5aAJQLBwOhz00tHXrVvaT/ftWrVqlp6e3c+dOoVCooqLC7kz06NFD/EkBJAdNAAqnVatWw4YNEwqFrq6u37miNCEhoVatWjNnzvz48SMh5O+//37//r2Pj48EkwJICJoAFFFQUJCGhkZCQsLevXu/fjY3N7ddu3Zt2rTJysoihNjY2Dx69Cg2NlZDQ0PiSQEkAU0AiqhmzZrsLDGenp4lJSWflwsEgmnTplWvXv3KlSuEED09vf379z98+NDa2ppaVgDxQxOAgvLw8DA3N8/MzPT19b1w4UJWVtaOHTv09PTWrl3LjiM9Z86cvLy8AQMG0E4KIHaMCO+8Bzc3N3Z8m7y8PAMDA0JIZWVlaWnp12sqKyuzVx8KBAL2MLRQSNjvphoahGGqWOELSkpKqqqqhBChUPjfb7U/vwKXy/08bRY7fvKvrsDhcNTV1X9yhZKSkq//sjEM8/mQyw9X+Pjxo0Ag+HormpqaP7lCaWlpZWXl5+WxsbGjRo36ev2uXbvu3btXT0/v66cA5JMQRGfatGnsb3XBggXskps3b1b5a/fz82NXSE5OrnIFDw8PdoWMjIwqV5g6dSq7Ant5+9dGjx7NrlBUVFTlCgMGDPicvMoVnJ2dP69Q5SHy9u3bf17ByMjo6xUcHR0/r1C7du2vV7Cxsfm8go2Nzdcr1K5d+/MKjo6OX69gZGT0eYX27dt/vYKGhsbnFZydnav8P/3M3Nz8zp07v/4nDyDbcHQI4H927Njh4OBAOwWApOHokChNnz59zZo1hJDMzMyaNWuSXzk6VFxMqlUjhJCcHKKpiaNDVawgwqNDR44cmTp1KjuA6GdcLvfZs2fsHxyAQlGiHUA+fR6BgMvlfv4YqhKHw/liBU1N8t8FX6/wBYZh/nAF8p/PSvGt8MNLMH+4wudS+e0V1NTU+Hy+i4vLgwcP2CX169fPyMiorKzkcrkbNmxADYBiQhOAoigpKRk1alRsbCy752FmZhYVFdWuXbusrKzHjx/Xr18fNQAKC+cJQCEsW7bMwMDgwIEDQqFQTU0tNDQ0KyurXbt2hJCaNWt26NABNQCKDPsEIOfOnTs3YsSI169fE0IYhhk6dOi2bdswgCjAf6EJQG5lZWW5uLh8vpC3SZMmBw4cqFu3Lt1UAFIIR4e+JyMjY/r06ZaWlhoaGhoaGjY2NtOmTUtKSqKdC36goqJi7NixtWvXZmvAyMjo2LFjd+/e/b0a2L59O/MfJiYmHTt2PHHihKhTA1CDfYJviouLGzx4sJKS0vDhw+3t7TkcTmpqamxs7Lp16zIyMqq8Twqkwbp16zw8PNgLZ5WVlb29vf38/P78bQMCAurWrSsUCnNycrZv3+7s7Hz06NFevXr9+TsDUIcmqNqTJ0+GDBlSu3btc+fOVa9e/fPyoKCgtWvXcjjYl5JG165dGzJkyIsXL9iHffr02b17t5aWlkjevEePHp9vch4/fny1atWio6PRBCAf0ARVCw4OLi4u3rZt239rgBCipKQ0c+ZMWqngW96+fTtw4MCLFy+yDxs0aBATE2Nrayumzenp6amrqysp4Z8PyAl8t61aXFxc/fr1W7RoQTsI/IBAIHB1dTU1NWVrQFdXNyoqKiUlReQ1UFBQ8Pbt2zdv3jx8+HDKlClFRUUjRowQ7SYAaMGXmioUFhZmZ2f369fvvwvz8/MrKirYnzU1NX94OytIwK5du6ZNm1ZYWEgI4XK5M2fOXL58uZiO3f3111+ff1ZVVd26dWuXLl3EsSEAyUMTVIH9ZPni+HKHDh3u37/P/hwSEuLh4UEhGfx/ycnJLi4u6enp7MPOnTvv27ePHQlcTNasWWNpaUkIycnJ2bVr14QJE7S1tfv37y++LQJIDJqgCtra2oSQLwZz3rBhw4cPH3JycnBMgK7CwsKhQ4ceP36cfVinTp19+/Y1a9ZM3Ntt3rz55zPGQ4cObdKkyfTp03v16oWb1EAO4DxBFXR1datXr/7FzAEtWrT466+/WrduTSsVCAQCX19fIyMjtgY0NDTWr1+fkZEhgRr4AofD6dix46tXr/h8voQ3DSAOaIKq9ezZ8/Hjx9+aZwYk78iRIyYmJosXLy4vL+dwOBMmTCgoKJg0aRKtPOxJo2/NAgQgW9AEVfP09NTQ0Bg3blxOTs5/l2M6B8l78uRJ48aN+/btm5eXRwhp2bJlZmbmpk2bKF7EWV5efvr0aRUVFcx0D/IB5wmqxuPxoqKihg4damVlxd5jLBQKMzIyoqKiOBwOxq2UjNLS0jFjxuzbt48t4OrVq+/atatTp05Uwpw4cSI1NZUQkpubGxUVxefzvby8dHR0qIQBEC00wTf17dv3wYMHoaGhp0+f3rp1K8MwtWvX7tmz5+TJk+3t7at8yecdhuJiUtUUXt/zeX3sdbBCQkJ8fX0/ffpECFFVVQ0ICPD09KSYZ8GCBewPampqDRo0WLduHcVjUwCihdkrRWnSJLeNGyMIIYTkEGLye2+Sk0NMfvOlcuLixYvDhg179eoVIYRhmEGDBm3fvv3zPJoAIHLYJwApkp2d7eLicv36dfZho0aNYmNjLSws6KYCkHtoAlFSUvr3JuSnT3/5e71QSNhp542MRB1LFlRUVEyZMmXr1q3slPQGBgZbt27t27cv7VwACgFNIEoM8+8PX8xK/5NENGim7Nm4ceOsWbOKi4sJIcrKynPnzvX398eArwASgyYAmm7dujVo0KBnz56xD52dnaOjo3FBDoCEoQmAjnfv3g0aNOjcuXPsQx6PFxMT06hRI7qpABQTdsBB0gQCwezZs01MTNga0NbW3rlzZ3p6OmoAgBbsE4BE7d27d9KkSQUFBYQQLpc7derU8PBwnBIAoAtNABKSkpLSv39/9jZdQkiHDh32799vpJhXSgFIGXwXA7ErKirq27evjY0NWwPm5uZXr169cOECagBASqAJQLz8/f0NDAyOHDlCCFFXV1+1atXz589btWpFOxcA/A+ODoG4HD9+fMyYMW/evCGEMAwzevToDRs2YF4XACmEfQKo2u3bZN6833zt8+fPHRwcevbsydZAs2bNXrx4sW3bNtQAgHTCPgFU4c0b0qYN+fSJtG1LnJ1/4YVlZWVjx46Njo5mRzasVq3azp07MfM7gJTDPgFUwdiYzJhBCCGzZpGysp99VXh4uK6ublRUlFAoVFFRWbp06evXr1EDANIPTQBV8/EhJiYkLY2sWfPjlS9fvlyzZk13d/fS0lKGYVxcXN6/fz/vt48uAYBkoQmgarq6ZOlSQgjx9ye5ud9c7fXr123atGnfvv3Lly8JIQ0bNkxJSYmJidHQ0JBUUgD4U2gC+KYxY4iDAykoIL6+VTzLjiNtZmaWkJBACNHX14+JiXnw4IGVlZWkgwLAn0ETwDdxuSQ8nBBCNm0iiYn/56lt27bp6+uvX79eIBAoKSl5eXm9ffvWxcWFQkoA+GNoAvietm3J4MFEKCRubv9OsHz37l0LC4tx48YVFRURQrp16/bmzZvAwECMHQQgu/CvF34gOJioqZFLl0hkZHG3bt2aNm369OlTQkj9+vXv3bt38uRJPT092hkB4I+gCeAHzM2Jp6eQEDJmzJvTpy8TQrS0tLZv387n8xs3bkw5HACIApoAfiAmJiYiwoyQTELqMIzHlClTCgoKRo8eTTsXAIgM7jGGb0pLS3NxcXn48CEhhBBPQqLV1AK8vRmcEQCQM/g3DVUoKSnp37+/tbU1WwM1a9a8fHla69bk40fGy4t2OAAQNTQBfGnJkiX6+voHDx4UCoVqamrh4eGZmZlt27aJiCAMQ3btIteu0Y4IACKFJoD/OXXqVLVq1Xx8fMrKyhiGGTlyZEFBgaurK/ts06Zk7FhCCHF1JQIBzZwAIFpoAiCEkBcvXjg6Onbv3j03N5cQ0rRp04yMjMjIyC/GkV6yhGhrk1u3yM6dlIICgBigCRRdWVnZ6NGj69Spc+fOHUKIiYnJ8ePHb9++Xbt27a9XNjUlPj6EEOLlRT58kHBSABAXNIFCW716tZ6eXmRkJDuOtL+/f05OTo8ePb7zEldXYmFBXr8mgYESiwkA4oUmUFAJCQnm5uYzZsz4+PEjIaRfv37v379fsGDBD1+oqkpWrCCEkNBQ8vSpuGMCgCSgCRRObm5u+/bt27Rpk5mZSQixtrZ+9OjRwYMHf34c6d69SZcupKyMrFsnzqAAICm4s0yBCAQCV1fXdevWVVZWEkL09PQ2bNgwaNCgX30fhiHh4eT6dYIbjQHkA5pAUURGRk6fPv3Dhw+EECUlJTc3t6CgoN8eQNTGhtjYiDQfANCDJpB/SUlJAwYM4PP57MO//vpr7969BgYGdFMBgPTAeQJ5VlhY6OzsbG9vz9ZAvXr1bt26debMGdQAAPwXmkA+CQSC+fPnGxoanjhxghCiqam5adOmJ0+eODo60o4GAFIHR4fk0MGDBydMmPDu3TtCCIfDGT9+/Nq1a5WU8GcNAFXDp4NcefLkyd9///3gwQP2oZOT04EDB0xNTemmAgAph6NDcqK0tHTgwIE8Ho+tgRo1aly4cCEhIQE1AAA/hCaQB8HBwXp6ejExMew40qGhoS9fvuzQoQPtXAAgG3B0SLadO3duxIgRr1+/JoQwDDNkyJCtW7eqqanRzgUAsgRNIKuysrJcXFxu3rzJPmzcuHFsbGzdunXppgIAWYSjQ7KnoqJi3LhxtWvXZmvA0NDw6NGj9+7dQw0AwO9BE8iYdevW6erqbtu2TSAQKCsr+/n55ebm9urVi3YuAJBhODokM27cuDF48ODnz5+zD3v16hUdHa2lpUU3FQDIATSBDHj79u2gQYMuXLjAPmzQoEFMTIytrS3dVAAgN3B0SKqx40ibmpqyNaCjoxMVFZWSkoIaAAARwj6B9Nq9e/fUqVMLCwsJIVwud8aMGaGhob89jjQAwLegCaRRcnLygAED0tLS2IcdO3bct2+fkZER3VQAIK/wBVO6FBUV9erVy87Ojq2B2rVrX79+/fz586gBABAfNIG0EAgECxYsMDAwOHbsGCFEQ0Nj7dq1z549a9GiBe1oACDncHRIKsTFxY0ZMyYvL48QwuFwRo8evXHjRowjDQCSgc8ayjIyMvr375+YmMg+bNGiRUxMTM2aNamGAgDFgqND1JSWlg4dOtTCwoKtAVNT07Nnz16/fh01AAAShiagIzQ0VF9ff8+ePUKhUFVVNSgo6NWrV507d6adCwAUEY4OSdrFixeHDRv26tUrQgjDMAMGDIiMjMQ40gBAEZpAcrKzswcMGHDt2jX2oZ2d3YEDB3g8Ht1UAAA4OiQJFRUV//zzT61atdgaMDAwOHToUFJSEmoAAKQBmkDsNm/erKent2nTJoFAoKSkNH/+/Ddv3vTt25d2LgCAf+HokBjdvn170KBBGRkZ7ENnZ+fo6GgdHR26qQAAvoAmEIv3798PGzbs3Llz7EMejxcTE9OoUSO6qQAAqoQmEAtra2uhUEgI0dbWXr169ahRo2gnAgD4JpwnECU+n8/+IBQKuVzu9OnT8/PzUQMAIOUY9qsriISWllZxcTEhpFWrVocOHTIxMaGdCADgx7BPIEr+/v46OjoBAQHx8fGoAQCQFdgnAABQdNgnAABQdGgCAABFhyYAAFB0aAIAAEWHJviehw8fjhgxwszMTFVVtUaNGiNGjHj06BHtUAAAIoZrh74pNjZ26NChBgYG48ePr1u37rNnz7Zs2fLu3bu9e/di/DgAkCdogqo9efKkUaNG5ubmly9fNjY2Zhe+ffu2bdu2WVlZSUlJdevWpZsQAEBUcHSoaiEhISUlJRs3bvxcA4QQIyOjDRs2FBUVhYSEUMwGACBa2CeompmZmYqKyucBpf+rbt26FRUVmZmZkk8FACAO2CeoQkFBQXZ2tr29fZXPNmrUKCsr68OHDxJOBQAgJmiCKrCf8tra2lU+yy5HEwCA3EATVOH7n/UfPnxgGMbIyEiyoQAAxAXnCarG3kPw9OnTr5+qW7duZWXlixcvJJ8KAEAcsE9Qtd69e2dkZMTHx3+x/MqVK8+ePRs4cCCVVAAA4oB9gqo9fvzY3t6+Tp06ly9fNjQ0ZBe+e/eOvZ8gMTER9xMAgNxAE3zTgQMHhg4damRk9N97jN+/f79nz54+ffrQTgcAIDJogu9JTk4ODAw8f/58bm6uQCBQU1O7c+eOjY0N7VwAAKKEJvhZkZGRY8aMGTFiRGRkJO0sAACipEQ7gMwYNWrUq1evvLy8atasuXTpUtpxAABEBvsEAACKDleRAgAoOjQBAICiQxMAACg6NAEAgKJDEwAAKDo0AQCAokMTAAAoOjQBAICiQxMAACg6NAEAgKJDEwAAKLr/B237RreFp5mLAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'W': (0.93, 0.5), 'Z': (0.07, 1.0), 'Q': (0.07, 0.0), 'B': (0.5, 0.25), 'G': (0.07, 0.25)} radius = 0.0 connection_dict = {'W': ['Z', 'Q', 'B'], 'Z': ['W', 'Q', 'G'], 'Q': ['Z', 'W', 'B', 'G'], 'B': ['Q', 'W', 'Z', 'G'], 'G': ['Q', 'Z', 'B']}
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", 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<image>
# 顶点坐标 coordinates = {'E': (0.09, 0.15), 'K': (1.0, 0.15), 'L': (0.91, 0.85), 'B': (0.0, 0.85), 'J': (0.5, 0.5), 'C': (0.95, 0.52), 'A': (0.78, 0.73)} radius = 0.0 connection_dict = {'E': ['K', 'B', 'L', 'J', 'A'], 'K': ['E', 'L', 'B', 'J', 'C'], 'L': ['K', 'B', 'E', 'J', 'C'], 'B': ['E', 'L', 'K', 'J'], 'J': ['E', 'L', 'K', 'B', 'C', 'A'], 'C': ['K', 'L', 'J', 'A'], 'A': ['E', 'J', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'A': (1.0, 0.25), 'P': (0.86, 0.5), 'U': (0.57, 0.5), 'S': (0.43, 0.25), 'B': (0.57, 0.01), 'O': (0.86, 0.01), 'T': (0.0, 0.99), 'F': (0.93, 0.38), 'X': (0.2, 0.2)} radius = 0.0 connection_dict = {'A': ['P', 'O', 'F'], 'P': ['A', 'U', 'T', 'F'], 'U': ['P', 'S'], 'S': ['U', 'B', 'T', 'X', 'F'], 'B': ['S', 'O', 'T'], 'O': ['B', 'A'], 'T': ['P', 'B', 'S', 'X'], 'F': ['A', 'P', 'T', 'X', 'S'], 'X': ['F', 'S', 'T']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.31), 'I': (0.34, 0.31), 'B': (1.0, 0.69), 'E': (0.66, 0.69), 'D': (0.5, 0.5), 'G': (0.83, 0.69), 'A': (0.58, 0.6)} radius = 0.0 connection_dict = {'K': ['I', 'E', 'B', 'D'], 'I': ['K', 'B', 'E', 'D'], 'B': ['I', 'E', 'K', 'D', 'G'], 'E': ['K', 'B', 'I', 'D', 'G', 'A'], 'D': ['K', 'B', 'I', 'E', 'G', 'A'], 'G': ['B', 'E', 'D', 'A'], 'A': ['E', 'D', 'G']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.0, 0.31), 'F': (0.54, 0.31), 'G': (1.0, 0.69), 'D': (0.3, 0.69), 'L': (0.02, 0.34)} radius = 0.0 connection_dict = {'H': ['F', 'D', 'L'], 'F': ['H', 'G'], 'G': ['F', 'D', 'L'], 'D': ['H', 'G', 'L'], 'L': ['D', 'H', 'G']}
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jPj7e2tp6wYIFr1+/Zh0NlAuaAIAxHR2dwMDApKSkMWPGCIXCDRs2mJiYrF+/Hmtcg9SgCQBkgrGx8YEDB/78808rK6vs7OxFixbZ2NjExcWxzgVKAU0A4mG1Canp27dvQkLC5s2b9fX1ExMTBw0aNHLkyAcPHrDOBQoOTQAgW1RUVObOnZuamurm5qaqqnrkyJEOHTosW7YsLy+PdTRQWGgCAFmkp6cXERFx584de3v78vLy0NBQU1PTbdu24eY+qAtoAhAPq02w0r59++PHj//666+mpqaZmZkzZ87s3r37hQsXWOcCRYMmAPGw2gRbDg4Od+7ciYiIaNCgwfXr1/v06TNp0qSnT5+yzgWKA00AIAfU1dXd3NxSU1PnzJnD4/F+/PFHMzMzf3//oqIi1tFAEaAJAOTGF198ER0dnZCQ8NVXXxUXF69cubJ9+/b79u3DMhXwmdAEAHLGxsbm9OnT+/fvNzIyevr06YQJE7766quEhATWuUCOoQkA5A+Px3N0dExKSgoICNDS0jp//nzXrl1nzZqVmZnJOhrIJTQBgLyqV6+ej4/P/fv3J0+ezHHc1q1bTUxM1q5di0u8oKbQBADyrUWLFrt37xY9+iY/P3/p0qWWlpbHjh3D5AF8OlXWAUAOaGlpiTZKSkoKCgp0dHSIqKysLCcnh4g4jkQXsGhpEY9HWlpaoh0qKirevHlT7bt9fAdNTc0GDRoQkVAozMrKqsUO6urqenp6ou1Xr17VYgdVVdVGjRp94g5ZWVkfXl/L5/P19fU/cYc3b95UVFR8eJQvvvjiE3cwNzc/cuTI/v37AwICUlNThw8fbmdnt2TJkq+//rrqfx/Af+IAxHn37LODg4PoxR07dlT7E2VnZyfa4fDhw9Xu0LVrV9EO586dq3YHS0tL0Q6JiYnV7tC2bdsPg73L0NCwKny1OzRp0uTjO+jq6lbtwOPxPtxBS0uragcVFZUPd9DQ0KjaQUND48MdVFRUqnao9i9rHo9XtYOuru7/v3ycKJmos+iDqh2aNGnyX99pdnZ2Lf6ng1LB2SEgItqxYwfv/2lqajZv3nzw4MHr1q3Lz88nosLCQtYBoUprIjMinU/cOysrS01NjYicnJw0NTVTUlLe/WxwcDCPxzt27JjEU4J84XE4mQhEO3bsmD59+qpVq4yNjcvLy1++fHn69Om4uLhWrVodOXJEXV3d3NyciEJCQv73v/+9d3aosJDatCEievSItLVxduitOjo7NHhww5s31XbuzBkypOzdHXJycsrKynJzc8PDw2NiYqoOt2XLltmzZ4u+i/bt29vY2Jw6dUr0qbS0NAsLCwcHhwMHDnx4aFAurAclIBO2b99ORFevXn33xfj4+Hr16hkZGV27dk300/Ldd999+LUFBRwRR8QVFEgrrhIbM4Yj4iIi3n+9oqIiOjq6qlpEPTdt2rR399myZQsR7dixQ/ThkCFDGjRokJGRIZ3kIMtwdgj+U//+/VesWPH48WOcPZAdVlZERFeu/OvFM2fOdOnSZe7cuVlZWebm5u7u7jk5OTo6OkFBQe/uNmvWrN69e7u7u79+/Xrv3r0nT54MDAw0NDSUYnyQUWgC+Jhvv/2WiC5evMg6CLzVrx8R0e+/k+jRlunp6WPHju3bt++tW7f09PQEAsGFCxf27NlDRD4+Ps2aNXv3a3k8XnR0dG5urrOzs5ubW9euXefPn8/gewDZg6tI4WNatGihq6uLZS9lR69eZGBAL1/Svn0l9++vDgsLKy0t5fP58+bN8/f319fX9/b2fvHiRdu2bV1dXT/8cgsLC3d39zVr1qioqPz66698Pv4tCERoAhBLR0en6toh/MXBnKoqzZzJrV7NmzEjpbx8NRHXr18/gUDQsWNHInr06FF4eDgRhYeHV3vpKhGJ5hKaN29uaWkpzeQgy/CLDWIUFBTUr19ftC26HhEYunLlysmTDkT55eVW+voehw4dio+PF9UAES1durS0tPTrr78eMWJEtV/+9OlTPz8/S0vLp0+fhoaGSjE4yDQ0AXxMRkZGbm6ukZGR6MPSUpXCQvrwjwguSP58z/KeOR1yahzauN7qeh03dbz2/O1VWxzHuR1101qh1eNIj+sWJ9WauhNRaemaDh1G/ZXxl81mm9ZRrZfGLj106BCfz4+Kiqr2bjgiWrBgARGdOHFi7Nixq1evfvTokdS+NZBlaAL4mF27dhGRre0A0YcLFjjo6NB7f5o2fbszHprymbKLs3tv662monZi8onE/yWGDwpvqNmQiEpKSuxX20ddjCreX0zfU8umLQ2WnuzTtyQ/nzd0KE09NHPFVyt++OaHdTfWUQNydnb+r9M+P//885EjRwICAlq0aBEVFaWuro4ZY3iL9WWsIBM+cj+BsbHx9etJ///z8kh060C1fzIzWcVXEMvilvXZ1ufdV4RC4aFDh1obt6YlRF9Sz549L1++nFOcoxGgsfn8j8bGHBGn6t7q9yuPojZG0Wxq0LZBVlZWtW+el5fXokWLTp06VVRUiF4RCARE9NNPP9X5NwYyDzPG8I8TJ04kJydXVFRkZmaeOnUqLi7OyMjoyJEjWlpv5x6/++70tGnG731V1Qp0/39XE9TSkftHBrcdPHb/2DPpZwwbGI5oNuK84PypU6eoIVF9Wj1ztec0T9GkfY8WPRLzLsXHTxgwgB7F+w7SNCd+KWXQatfVjRs3rvbNfXx8nj9/fujQoapVkubPn79z505XV9chQ4ZUTQWBkmJdRSATRGMCEXV1dQMDg4EDBwoEgry8PI7jkpLejgk2btzIOqki0wjQ0AjQ8PrDKz4x3m6xHXkTWZOGhsZUn6m0kp7nPa/ac+xPY8ftH8dxXGYm168fR2r/I03S1e1QXl5e7Ttfu3ZNRUVlwYIF771+5coVPp+/aNGiuvumQC5gTABERNOmTZs2bdp/fbayslK08eHiOSBBQk7YpVkXg3sGYxzH5OTkkD01Gtzo+uHrz1We79y2s9ov+eILWrcuydo6WlhOnn5RqqrV/0Z36dKl2nWNunXrVvU/F5QZZowBZEVD1YZJ55JcXFxycnKsra3dnNw0m2q2bt3aQMeAiDIL/1mCO7Mw00DbgIg4jnN3dxMKK+3tR3h6DmQWHeQcmgCAPdGzZV5df5Wrkquvrx8dHX39+nWuEWeka0RExnrGBjoG8Y/iRTvnleZdzrjcq2UvIjp+/Phvv/2mpqa2bl04y28A5BzODgGwlJubGxgYKBAIysvLVVqqcDO4eXvm9e/af1/ivi0JW7YM20JEPB7PtYdr4LlAk8YmxnrGK/5c0bx+82/af1NWVubm5kZEbm5u7dq1Y/2tgBxDE4B4VYtM/Nf9SlALlZWVO3bsWL58uej5Bw4ODhEREam8VK94r7ArYcYNjaMGR022miza2aO3R2F54Zyjc3JKcvq06nPS6aSmqmZ4eHhqamrTpk29vb2Zfisg9/CkGhAvLS2tTZs2RBQTEzNr1izWcRTB+fPnXVxcEhISiMjMzCwiIsLBwaFG7/Dq1SsTE5O8vLytW7fOmDGjbmKCssA8AYBUPXnyZMKECba2tgkJCbq6uhEREbdv365pDRCRj49PXl5ely5dPnLRF8AnwtkhEK9evXqiDXV1dbZJ5FpRUVFoaGhISEhJSQmPx5szZ05AQMB/PYn+427cuPH9998TkUAgwAKx8PnQBCBecXGxaKOsrIxtEjnFcdy+ffuWLl2akZFBRHZ2dlFRUTY2NrV+NxcXF47jJk6c2Lt3b0kGBWWFJgCoW9evX3dxcblw4QIRGRkZhYeHjx49+nPm3vfv33/u3Ll69eqFhIRILiYoNYwrQbyqoUC196nCf3n58uXMmTO7det24cIFLS2twMDApKSkMWPGfE4NFBcXL126lIiWLVvWsmVLyYUFpYYxAYhXVQBYmeATlZaWCgSCwMDA/Px8InJycgoODpbIs+PXrl375MmTli1bivoAQCLQBACSxHHc0aNHFy9e/PDhQyLq3r27QCDo2bOnRN786dOna9asIaKwsDAtLS2JvCcA4ewQgATdu3dv8ODBI0eOfPjwYbNmzXbu3Hnp0iVJ1QAReXp6FhcX9+nTZ9y4cZJ6TwBCEwBIxJs3bxYuXGhtbR0XF6euru7l5XX//v0pU6ZI8BLPCxcuxMbG8ng8gUCAm71BsnB2CMTDahMfUVFRER0d7evr++bNGyIaPXp0WFiY6JZsCRIKhS4uLkQ0Y8aMzp07S/bNAdAEIJ6mpqZoA3eWveePP/5wdXW9d+8eEXXs2DEqKqp///51caAffvjh+vXr9evXX716dV28Pyg5nB0CqI2HDx9+8803AwcOvHfvXuPGjTdu3JiQkFBHNZCXl+fp6UlEvr6+TZs2rYtDgJLDmADEw2oT78rPz1+9enVkZGRZWZnokZB+fn4NGzasuyMGBQVlZmaamJgsWrSo7o4CygxNAOKVlJSINpR8tQmhUPjDDz94eXm9fPmSiAYNGhQZGdmhQ4c6PeiDBw8iIyOJKDw8HE0MdQRNAOJh6XIiunjxoouLy7Vr14jIxMQkIiJi6NChUphCd3d3LysrGzRo0LBhw+r6WKC0ME8A4in5ahMZGRmTJ0/u3bv3tWvXGjRosHbt2rt37w4bNkwKNfDHH3/88ssvKioqkZGRuHAL6g7GBCCe0q42UVxcvHbt2uDg4KKiIh6PN3PmzMDAQKnN2VZUVLi6uhLR/Pnz6/ocFCg5NAFANTiOO3DggLu7+5MnT4jI1tZWIBB06tRJmhmio6NFFyatXLlSmscFJYQmAHjfjRs3XFxczp07R0QtW7Zcu3bt2LFjpXxy5vXr1ytWrCCiVatW1emFSQCEeQKAd7169WrOnDldunQRPQDA398/OTl53Lhx0j9Hv3LlyuzsbEtLyzlz5kj50KCEMCYA8ZRhrrKsrGz9+vWrVq3Ky8sjokmTJgUHB7N6AMC9e/c2bdpERFFRUaqq+CWFOocfMhCv6s4yDQ0NtknqAsdxx48fd3NzS01NJaIuXboIBAKGT4XkOM7Nza2ysnLUqFFff/01qxigVHB2CJRaUlKSg4PDsGHDUlNTmzZtum3btitXrrB9OPDRo0dFC5quXbuWYQxQKmgCEE8hV6DLzs52dXW1srI6efKkurr6smXLUlJSpk+fLsF1pGuhtLR08eLFRLR48WKJL2gK8F9wdgjEKy0tFW0oxmoTlZWVMTExPj4+r1+/JqKRI0euXbu2Xbt2rHMREQkEgocPHxoYGCxfvpx1FlAiaAIQT5FWm/jzzz9dXV1v375NRB06dIiKiho4cCDrUG+9fPkyMDCQiIKDg+vXr886DigRnB0C8RRjtYm0tLQxY8b079//9u3bDRs2XL9+/a1bt2SnBojI29s7Pz+/W7du3377LessoFwwJgDx5H21iYKCgjVr1oSHh5eWlqqoqDg7O69cubJx48asc/3LtWvXtm/fTkQCgYDtXAUoITQBKDKhULh7925PT88XL14Q0YABAyIjIy0tLVnneh/HcS4uLhzHOTk59erVi3UcUDpoAlBYly9fXrRo0ZUrV4iobdu2ERERw4cPl8275Pbu3Xvx4kUtLa3g4GDWWUAZYRAKCujZs2dTpkzp2bPnlStXdHR0QkJC7t27N2LECNmsgaKiIg8PDyLy8vIyNDRkHQeUEcYEIJ5s/gVarZKSkoiIiKCgoMLCQh6PN23atKCgIAMDA9a5PiY0NDQjI8PIyGjJkiWss4CSQhOAeHKx2gTHcYcOHXJ3d09PTyeiL7/8UiAQdO3alXUuMZ48eRISEkJEa9eurfrvDCBlaAJQBLdu3XJ1dT19+jQRtWjRIjQ0dMKECXIxlPHw8CgpKbGzsxszZgzrLKC8ME8A4snyahN///23s7Nz586dT58+ramp6efnl5ycPHHiRLmogXPnzu3bt4/H40VFRclFYFBUGBOAeFV3lpWXl7NN8q7y8vINGzasXLkyNzeXiMaPHx8SEmJkZMQ616eqrKx0cXEhotmzZ9vY2LCOA0oNTQDiCYVC0YbsLDtx8uRJNze35ORkIurUqZNAILC1tWUdqmZ27Nhx48YNXV1d0QoTAAzh7BCIVzUUkIXVJlJSUoYNG2Zvb5+cnPzFF1/ExMRcvXpV7mogNzdXtMacn59fkyZNWMcBZYcxAYhX1QRsV5vIyckJCAhYt25dRUWFmpqai4uLj4+Prq4uw0i1FhgY+OrVKzMzs/nz57POAoAmAHlQWVm5bds2b2/vv//+m4iGDRsWHh5uamrKOlctpaamCgQCIoqIiJDBSXhQQmgCkHVnz551cXG5efMmEZmbm0dGRg4ePJh1qM+yZMmS8vJye3t7BwcH1lkAiDBPALLs8ePH48aNs7Ozu3nzpp6enkAguHXrlrzXwG+//Xb06FFVVdWIiAjWWQDewpgAZFFhYWFISEhYWFhJSQmfz587d+6qVav09fVZ5/pc5eXlbm5uRLRw4cL27duzjgPwFpoAxNPS0hJtSGG1CY7jYmNjly1b9uzZMyLq169fVFSUlZVVXR9XOjZt2pSUlKSvr+/r68s6C8A/0AQgQ65everi4nLp0iUiMjY2Dg8P/+abbxTm5tusrCw/Pz8iCgwM1NPTYx0H4B+YJwDxqoYCampqdXSIFy9eTJ8+vXv37pcuXdLW1g4KCkpMTBw1apTC1AAR+fn55eTkWFlZzZo1i3UWgH/BmADEq9M7y0pKSqKiolavXl1QUEBEU6dODQoKat68ucQPxNadO3c2b95MRAKBQEVFhXUcgH9BE4B4dbTaBMdxv/zyy5IlSx49ekREPXv2FAgE3bt3l+AhZITo4ZRCodDR0bFv376s4wC8D00A4tXFmODu3buurq7x8fFE1Lx589DQ0IkTJyrqk9wPHz78559/amhohIWFsc4CUA3F/MUDyZLsahOvX79esGCBtbV1fHy8hoaGj4/P/fv3J0+erKg1UFJSInoYmbu7e+vWrVnHAagGxgQgPeXl5Zs3b/bz88vOziYiR0fH0NBQY2Nj1rnqVlRUVFpaWvPmzT09PVlnAagemgCkJC4uztXVNTExkYisra0FAoGdnR3rUHXu+fPnokWnQ0JCdHR0WMcBqJ5ijsdBpjx48GDkyJGDBg1KTEzU19ePjo6+fv26MtQAES1fvrywsLBnz56TJk1inQXgP2FMAHUoLy8vMDAwKiqqvLxcVVV14cKFvr6+ynNT1ZUrV3bu3ElEAoFAUWdBQDGgCUC8Wqw2IRQKd+zY4eXl9erVKyKyt7ePiIhQqpV2RFeOEtGUKVMU8tJYUCRoApC88+fPu7i4JCQkEJGZmVlERIQSLr8cGxv7119/aWtrr1mzhnUWADEwYgXxPn21iSdPnkycONHW1jYhIUFXVzciIuL27dtKWAMFBQUeHh5E5O3trXj3S4PiwZgAxKu6oewj9xMUFRWFhYWFhIQUFxfzeLw5c+YEBAQo7RN6Q0JCnj9/bmxsLFqDGkDGoQlAvKoCqFp24l0cx+3bt8/Dw+Pp06dEZGdnFxUVZWNjI82EMiU9PV10L3F4eLimpibrOADioQlAvI+MCa5fv+7i4nLhwgUiMjIyWrt27ZgxYxRpAdFaWLp0aWlpab9+/b755hvWWQA+CeYJQLyysjLRxrvrDmVmZs6aNatbt24XLlzQ0tIKDAxMSkpydHRU8ho4c+bMgQMH+Hx+VFSUkv+nADmCMQHUWGlp6bp16wICAvLz84nIyckpODjY0NCQdS72KisrRVeOzp07V2GeswbKAE0ANXP06NHFixc/ePCAiLp16yYQCHr16sU6lKzYunXrrVu39PT0Vq1axToLQA2gCaAGvvvuu+TkZCIyMDAICQlxcnLCrbNVcnJyvL29icjf319fX591HIAaQBOAeKWlpaKN5ORkdXX1JUuWeHl51a9fn20qWRMQEJCVlWVubu7s7Mw6C0DN8CT7FCqQa2lpaeHh4b///ntGRgYRtW7dul+/fnPnztXR0Wnbti0R2djYHDx4sE2bNqyTypz79+9bWlpWVFScPHly8ODBrOMA1AyaAN46duzY+PHjVVVVJ0+ebG1tzefzk5OTDx069Pjx4zt37lhaWhJRWloanrVSraFDhx4/fnzYsGFHjx5lnQWgxtAEQET08OFDa2vrVq1axcfHN2vWrOr1ioqKjRs3Dhs27OzZs0Q0efJksQtOKKHjx48PHTpUTU3t7t27pqamrOMA1BiaAIiI5s6du2XLlr/++qtHjx6ss8iZ8vLyjh073r9/393dHY8pBjmFJgAiIkNDQy0trdTUVNZB5E9UVJSbm1uTJk1SU1N1dXVZxwGoDVw7BJSXl/f8+fP3lkbIycmpuqNYQ0NDdHZo8ODBqqr4mfnH33//vXLlSiIKCgpCDYD8wm81UF5eHhG995Tdvn373rp1S7S9evVq0ZXyBQUFaIJ3rVixIjc3t1OnTtOnT2edBaD28FsNJLozoKCg4N0Xo6Oj8/PzMzMznZycGOWSdTdv3tyyZQsRCQQCFRUV1nEAag9NAKSrq9usWbO7d++++6Jo6jg9PZ1NJpnHcZyrqyvHcePHj7e1tWUdB+CzYKkAICIaOnTogwcPrly5wjqI3Dh06NCZM2c0NTVDQ0NZZwH4XGgCICLy8PDQ0tKaMWNGZmbmu6/j0rJqFRcXu7u7E5GHh0erVq1YxwH4XDg7BEREJiYmsbGxEydONDMzE91jzHFcWlpabGwsn8/Hk3jfExERkZ6e3qJFC9HDigHkHe4ngH88fPgwPDw8Li4uIyODx+MZGRn17dt33rx57dq1E11ZVFBQoK2tzTomY8+ePTM1NS0qKhJ1J+s4ABKAJgDxysvLRRfJzJkzB6tNfPvtt7t37+7du/e5c+fwVDJQDGgCgBr466+/RE/muXr1ateuXVnHAZAMzBgDfCqhUCh6OOX06dNRA6BIMCYA8SorK8+dO0dEtra2ynwL1Q8//DB16lQdHZ3U1FQDAwPWcQAkBk0A4hUWFmLGOD8/38zM7MWLFyEhIbhkCBQMzg4BfJI1a9a8ePGibdu2ohNEAIoETQAg3qNHjyIiIogoPDxcQ0ODdRwACUMTAIi3dOnS0tLSAQMGjBgxgnUWAMlDEwCIcerUqUOHDqmoqERGRuIGAlBIaAKAj6moqHB1dSUiZ2dnS0tL1nEA6gSaAOBjYmJi7ty506hRI39/f9ZZAOoKVqAD8dTU1ERrLyvbUhPZ2dkrVqwgIn9//0aNGrGOA1BXcD8BwH9ydXUVCAQWFhY3b97EYztBgaEJAKqXmJhoZWVVWVkZFxc3YMAA1nEA6hD+mQPiVVZWJiQkEFHnzp2VZLUJjuPc3NwqKytHjhyJGgCFhzEBiKeEq00cO3Zs+PDh6urq9+7da9euHes4AHUL1w4BvK+srGzx4sVE5OrqihoAZYAmAHjf+vXrU1NTmzZt6u3tzToLgDSgCQD+JTMzc9WqVUS0Zs2aBg0asI4DIA1oAoB/8fHxycvL69Kly9SpU1lnAZASNAHAP27cuLF161YiWrduHZ+P3w5QFvhZB3iL4zgXFxeO4yZOnPjll1+yjgMgPbifAMRTU1Pz8/MjRV9tYv/+/efOnatXr15ISAjrLABShfsJAIiIioqKzM3Nnzx54u/v7+vryzoOgFTh7BAAEdHatWufPHnSqlUrd3d31lkApA1jAhBPKBQmJSURkbm5uULOoz59+tTMzKy4uHjfvn3jxo1jHQdA2jBPAOIVFxeLHtKiqKtNeHp6FhcX29rajh07lnUWAAYU8N93ADVy4cKF2NhYHo8XFRWFh1OCckITgFITCoUuLi5ENHPmzM6dO7OOA8AGmgCU2s6dO69fv96gQYPAwEDWWQCYQROA8srLy/Py8iIiX1/fpk2bso4DwAyaAJRXUFBQZmamiYnJwoULWWcBYAlNAErqwYMHkZGRRBQREaGurs46DgBLuIoUxFNTUxPdb6VIq024u7uXlZUNHjx46NChrLMAMIY7y0AZxcXFDRo0SEVF5c6dO+bm5qzjADCGs0OgdCoqKtzc3IhowYIFqAEAwpgAPoVQKHzy5AkRtWrVSgFWm9iwYcOCBQsaN26cmprasGFD1nEA2EMTgHiFhYU6OjqkEKtNvH792sTEJDs7e+PGjc7OzqzjAMgEuf/3HUCNrFy5Mjs7u2PHjrNnz2adBUBWoAlAidy9e3fTpk1EFBUVpaqKC+cA3kITgLLgOM7Nza2ysnL06NH9+/dnHQdAhqAJQFkcPXr0jz/+UFdXDwsLY50FQLagCUAplJaWLl68mIiWLFnSpk0b1nEAZAuaAJSCQCB4+PBhs2bNREvOAcC7MGkG4qmqqv7vf/8TbbDOUhsvX74MCAggouDg4Pr167OOAyBzcD8BKL4ZM2Zs3769e/fuly5dUoA74wAkDk0ACu7atWvdu3fnOO7SpUs9e/ZkHQdAFsnlYB+kjOO4rKwsItLX15evJ/1yHOfi4sJxnJOTE2oA4L9gTADiye9qEz/++OOkSZO0tLRSUlIMDQ1ZxwGQUThnCgqrsLDQw8ODiJYvX44aAPgINAEorNDQ0IyMjNatW4vuJACA/4ImAMX05MmT0NBQIgoLC6tXrx7rOAAyDU0AisnDw6OkpMTOzm7MmDGsswDIOjQBKKBz587t27ePz+dHRUXJ18VOAEygCUDRVFZWuri4ENHs2bNtbGxYxwGQA7ifAMRTVVWdOnUqyclqE9u3b79x44aurq5ohQkAEAv3E4BCyc3NNTU1ffXqVUREhOix9QAgFs4OgUIJDAx89eqVmZnZ/PnzWWcBkBsYE4B4HMcVFRURkZaWlixPwKakpFhaWpaXlx8/ftze3p51HAC5gTEBiFdUVKSjo6OjoyPqA5m1ZMmS8vJyBwcH1ABAjaAJQEH89ttvx44dU1VVjYiIYJ0FQM6gCUARlJeXi+aHFy5caGZmxjoOgJxBE4Ai2LRpU1JSkr6+vq+vL+ssAPIHTQByLysry8/Pj4hWr16tp6fHOg6A/EETgNzz9fXNycmxtraeOXMm6ywAcglNAPLt9u3b0dHRRCQQCFRUVFjHAZBLcrB4ADCnoqLi6Ogo2mCd5V84jnN1dRUKhY6OjnZ2dqzjAMgr3FkGcuznn38ePXq0hoZGcnJy69atWccBkFc4OwTyqqSkZMmSJUS0dOlS1ADA50ATgLyKjIxMS0szNDT09PRknQVAvqEJQLzCwkIej8fj8QoLC1lneev58+erV68mopCQEG1tbdZxAOQbmgDk0vLlywsLC3v27Dlp0iTWWQDkHpoA5M+VK1d27txJRAKBQJbXRgWQF2gCkDNCoXDRokVENHXq1O7du7OOA6AI0AQgZ2JjYy9fvqyjo7NmzRrWWQAUBJoA5ElBQcGyZcuIyNvbu1mzZqzjACgINAHIk5CQkOfPnxsbG7u6urLOAqA4sNoEiKeiouLg4ECsV5tIT08PCwsjovDwcE1NTYZJABQMVpsAuTF27NgDBw7079//jz/+wCVDABKEJgD5cPr06X79+vH5/Js3b3bs2JF1HACFgnkCkAOVlZWiiYF58+ahBgAkDk0A4hUWFmpra2tra7NabWLr1q23bt3S09Pz9/dnEgBAsWHGGD5JUVERq0Pn5OR4e3sTkb+/v76+PqsYAAoMYwKQdatWrcrKyjI3N3d2dmadBUAxoQlApiUnJ69fv56IIiMj1dTUWMcBUExoApBpixcvrqioGD58+ODBg1lnAVBYaAKQXcePHz9x4oSamlp4eDjrLACKDE0AMqqsrGzx4sVE5OLiYmJiwjoOgCLDtUMgHp/Pt7OzE21I7aAbNmy4f//+F1984ePjI7WDAign3GMMsujVq1empqa5ubnff//9zJkzWccBUHA4OwSyaMWKFbm5uZ07d542bRrrLACKD2MCkDk3b97s3Lkzx3Fnz561tbVlHQdA8WFMAOIVFhY2adKkSZMmUlhtguM4V1dXjuPGjx+PGgCQDswYwyfJysqSzoEOHjx45swZTU3N0NBQ6RwRADAmABlSXFzs7u5ORMuWLWvVqhXrOADKAk0AMiQ8PPzx48ctWrTw8PBgnQVAiaAJQFY8e/ZszZo1RBQaGqqlpcU6DoASQROArPD09CwqKurdu/eECRNYZwFQLmgCkAmXLl3avXs3j8cTCAR4RjGAlOHaIRCPz+d37dqV6my1CaFQ6OLiQkTTp0/v0qVLXRwCAD4Cd5YBezt37pw2bVr9+vVTUlIMDAxYxwFQOjg7BIzl5+d7eXkRkY+PD2oAgAk0ATC2Zs2aFy9etG3bVnSCCACkD2eHQLyioqIOHToQUWJiomSv73z06JG5uXlZWdkvv/wyYsQICb4zAHw6zBiDeBzHPX78WLQh2Xd2d3cvKysbOHDg8OHDJfvOAPDpcHYImDl16tTPP/+soqISGRmJK0cBGEITABsVFRWurq5E5OzsbGFhwToOgFJDEwAbMTExd+7cadSokb+/P+ssAMoOTQAMvHnzZsWKFUS0atWqRo0asY4DoOzQBMCAv7//69evLSws5s6dyzoLAODaIfgEPB5PdBWpROZ1ExMTN2zYQEQCgUBVFT+BAOzhfgKQKo7jhgwZ8vvvv48cOfLw4cOs4wAAEZoApOzYsWPDhw9XV1e/d+9eu3btWMcBACLME4A0lZWVubm5EZGbmxtqAEB2oAlAvKKiIgsLCwsLi6Kios95n3Xr1j148MDAwMDb21tS2QDg8+HsEIhXWFioo6NDRAUFBdra2rV7k8zMTBMTk/z8/O3bt0+bNk2S+QDg82BMAFLi4+OTn5/ftWvXKVOmsM4CAP+CJgBpSEhI2Lp1KxEJBII6evAZANQafiehznEc5+LiwnHcpEmTvvzyS9ZxAOB9aAKocz/99NP58+e1tLRCQkJYZwGAaqAJoG4VFRUtXbqUiDw9PVu0aME6DgBUA/f6g3g8Hs/IyIhqtdrE2rVrnz592qpVK3d39zqIBgASgKtIoQ49ffrUzMysuLh4375948aNYx0HAKqHs0NQh5YtW1ZcXGxrazt27FjWWQDgP2FMAHXl/Pnztra2PB7v+vXrnTp1Yh0HAP4TxgQgXnFxcbdu3bp161ZcXPyJXyIUCkUPp5w1axZqAEDGYUwA4tVitYnt27fPmDGjQYMGqampX3zxRR0HBIDPgjEBSF5eXp6XlxcR+fr6ogYAZB+aACRv9erVovXmFi5cyDoLAIiHJgAJS01NjYyMJKLIyEh1dXXWcQBAPDQBSJi7u3t5efmQIUMcHBxYZwGAT4ImAEmKi4s7cuSIiopKRERELW5IBgAmsNoEfBJ9fX2x+1RUVIiuHF2wYIG5uXmdZwIACcFVpCAx33333cKFCxs3bpyamtqwYUPWcQDgU6EJQDJev35tYmKSnZ29adOmefPmsY4DADWAeQKQDD8/v+zsbCsrq9mzZ7POAgA1gzEBiFdcXGxvb09EJ06cqFev3oc73L1718bGprKy8tSpU/369ZN6QAD4LJgxBvGEQuGZM2dEGx9+luM4V1fXysrK0aNHowYA5BHODsHnOnLkSHx8vIaGRlhYGOssAFAbaAL4LKWlpUuWLCGiJUuWtGnThnUcAKgNNAF8FoFA8PDhw2bNmomWnAMAeYQmgNp7+fJlQEAAEQUHB4uWrQYAeYQmgNpbvnx5QUFB9+7dnZycWGcBgNrDtUPwSbS0tN575erVq9u3bycigUDA5+OfFAByDE0A4mlraxcWFr77iujKUSL69ttve/bsySYWAEgI7iyD2vjxxx8nTZqkra19//59Q0ND1nEA4LNgUA81VlhY6OHhQUReXl6oAQAFgCYA8UpKSoYOHTp06NCSkhIiCg0NzcjIaN269eLFi1lHAwAJwNkhEK+wsFB0kWhBQUFWVlb79u1LSkoOHDgwZswY1tEAQAIwJoCa8fDwKCkp6du37+jRo1lnAQDJQBNADVy4cOGnn37i8/lRUVF4OCWAwkATQA2IJopnz55tbW3NOgsASAzmCUC8qnkCItLV1U1NTW3SpAnbSAAgQRgTQM2sXLkSNQCgYDAmAPGqxgSmpqZ3795VU1NjnQgAJAljAqAdO3bweDwej3f+/Pl3X+c4rmXLljwez9HRsUWLFkQkEAhQAwCKB00Ab2lqasbGxr77ypkzZzIyMjQ0NFRUVO7evRsTEzNkyBBW8QCg7qAJ4C0HB4f9+/dXVFRUvRIbG9ulSxcDAwMi0tXVnTVrFrt0AFCH0ATw1sSJE1+/fh0XFyf6sKys7MCBA5MmTWKbCgCkAE0Ab7Vu3bpXr14//vij6MMTJ07k5uZOmDCBbSoAkAI0Afxj0qRJhw8fLi4uJqI9e/bY2dk1b96cdSgAqHNoAvjHuHHjiouLjx07lp+ff+zYMZwaAlASeGYZ/KNJkyYDBgyIjY0tKiqqrKx0dHRknQgApAFNAP8yadKk2bNnv3z50t7eXk9Pj3UcAJAGnB2Cfxk1ahSfz//rr79waghAeWBMAP+io6OzadOm9PT04cOHs84CAFKCJoD3TZ06lXUEAJAqnB0CAFB2WIsUAEDZYUwAAKDs0AQAAMoOTQAAoOzQBAAAyg5NAACg7NAEAADKDk0AAKDs0AQAAMoOTQAAoOzQBAAAyg5NAACg7NAEAADKDk0AAKDs/g+3OUg2O0EzlQAAAABJRU5ErkJggg==", "path": null } ]
<image>
# 顶点坐标 coordinates = {'X': (0.72, 0.75), 'Q': (0.28, 1.0), 'G': (0.28, 0.5), 'D': (0.28, 0.75), 'M': (0.28, 0.0)} radius = 0.0 connection_dict = {'X': ['Q', 'G', 'D', 'M'], 'Q': ['X', 'G', 'D', 'M'], 'G': ['Q', 'X', 'D', 'M'], 'D': ['G', 'Q', 'X'], 'M': ['X', 'Q', 'G']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.86, 0.75), 'K': (0.71, 0.0), 'W': (0.14, 1.0), 'Q': (0.56, 0.26), 'C': (0.71, 0.51)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['Q', 'C'], 'K': ['W', 'Q'], 'W': ['K', 'Q', 'C'], 'Q': ['K', 'W', 'O', 'C'], 'C': ['O', 'Q', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'S': (0.98, 0.5), 'L': (0.61, 1.0), 'A': (0.02, 0.81), 'W': (0.02, 0.19), 'Q': (0.61, 0.0), 'J': (0.02, 1.0), 'G': (0.5, 0.75), 'X': (0.61, 0.78)} radius = 0.0 connection_dict = {'S': ['L', 'Q', 'G', 'J', 'W'], 'L': ['S', 'A', 'J', 'X', 'Q'], 'A': ['L', 'W', 'J'], 'W': ['A', 'Q', 'J', 'G', 'S'], 'Q': ['W', 'S', 'X', 'L'], 'J': ['L', 'A', 'W', 'G', 'S'], 'G': ['S', 'J', 'W', 'X'], 'X': ['Q', 'G', 'L']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.76, 0.53), 'J': (0.65, 0.0), 'D': (0.24, 0.7), 'W': (0.39, 0.46), 'S': (0.49, 1.0)} radius = 0.5416345338238601 # 连接关系 connection_dict = {'O': ['W', 'S'], 'J': ['D', 'W'], 'D': ['J', 'W'], 'W': ['J', 'D', 'O'], 'S': ['O']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'N': (0.91, 0.5), 'A': (0.62, 0.9), 'Z': (0.15, 0.75), 'U': (0.15, 0.25), 'F': (0.62, 0.1), 'Y': (1.0, 0.38), 'V': (0.0, 0.7)} radius = 0.0 connection_dict = {'N': ['A', 'F', 'Y'], 'A': ['N', 'Z', 'Y', 'V'], 'Z': ['A', 'U', 'V'], 'U': ['Z', 'F'], 'F': ['U', 'N', 'Y'], 'Y': ['N', 'A', 'F', 'V'], 'V': ['Z', 'Y', 'A']}
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", 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<image>
# 顶点坐标 coordinates = {'F': (0.0, 0.3), 'C': (0.53, 0.3), 'G': (1.0, 0.7), 'J': (0.47, 0.7), 'A': (0.26, 0.3), 'D': (0.13, 0.3)} radius = 0.0 connection_dict = {'F': ['C', 'J', 'A', 'D'], 'C': ['F', 'G', 'A'], 'G': ['C', 'J'], 'J': ['F', 'G', 'A', 'D'], 'A': ['F', 'C', 'J', 'D'], 'D': ['F', 'A', 'J']}
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<image>
# 顶点坐标 coordinates = {'U': (0.67, 0.5), 'C': (0.5, 0.79), 'A': (0.17, 0.79), 'V': (0.0, 0.5), 'W': (0.17, 0.21), 'P': (0.5, 0.21), 'H': (1.0, 0.5)} radius = 0.0 connection_dict = {'U': ['C', 'P', 'H'], 'C': ['U', 'A'], 'A': ['C', 'V'], 'V': ['A', 'W', 'H'], 'W': ['V', 'P'], 'P': ['W', 'U', 'H'], 'H': ['P', 'U', 'V']}
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", 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<image>
# 顶点坐标 coordinates = {'E': (0.0, 0.37), 'I': (0.61, 0.37), 'G': (1.0, 0.63), 'D': (0.44, 0.63), 'J': (0.05, 0.37), 'L': (0.22, 0.5)} radius = 0.0 connection_dict = {'E': ['I', 'D', 'J', 'L'], 'I': ['E', 'G', 'J'], 'G': ['I', 'D'], 'D': ['E', 'G', 'J', 'L'], 'J': ['E', 'I', 'D', 'L'], 'L': ['E', 'D', 'J']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'B': (0.25, 0.0), 'H': (0.7, 0.0), 'C': (0.7, 1.0), 'F': (0.25, 1.0), 'G': (0.7, 0.5), 'E': (0.75, 0.56)} radius = 0.0 connection_dict = {'B': ['H', 'F', 'G', 'E'], 'H': ['B', 'C', 'G'], 'C': ['H', 'F', 'G'], 'F': ['B', 'C', 'E'], 'G': ['H', 'C', 'B', 'E'], 'E': ['B', 'G', 'F']}
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1NDQuXrzo4+NDO46iQxNQtmXLlm3btnE4nEOHDnXo0IF2HADpsbOzO3ToEIfD2bZt27Zt22jHUWhoAprOnDnDHg2tXbsWN16CAhoyZMiaNWsIId7e3hcuXKAdR3HhjDE18fHxHTt2LCoqmjJlyq5du7AlPSgmhmEmTpx44MCBevXq3b59u0WLFrQTKSI0AR0FBQWdO3eOj493cnKKiIhQVlamnQiAGoFA0Lt37+vXr1tZWcXExGAHDunD7BAFDMNMmDAhPj7e2Nj46NGjqAFQcKqqqmFhYSYmJklJSRMnTsThqfShCShYu3bt8ePHVVRUwsLCcM0oACFEX18/NDRURUXl+PHj69evpx1H4WB2SNoiIiL69u0rFot37do1depU2nEAZMjOnTtnzpzJ5XIvXbrUo0cP2nEUCJpAql69etW2bdvs7OzJkyfv2bOHdhwA2cJOnB48eNDAwOD+/fvGxsa0EykKNIH0iESi3r17R0VFtW/f/tatW1hgDuBzfD7fwcEhNjbWycnp8uXLWJVdOnCeQHr++OOPqKgoTU3N4OBg1ABApTQ0NMLCwthlq9euXUs7jqLAmEBKbt265ejoKBKJ9u/fP378eNpxAGTagQMHJkyYwOPxbt682blzZ9px6j40gTS8e/euXbt26enpXl5egYGBuIkM4OsYhvHy8goODm7WrNmDBw+wWGltw+yQNMycOTM9Pb1Zs2Y7duxADQB8E4fD2bFjh5mZWUpKypw5c2jHqfvQBLUuNDQ0ODiYy+UGBQXh0Aagiho0aHDo0CEul/vPP/+EhITQjlPHoQlqV1ZW1qxZswghixYtwnQnQLV069Zt8eLFhJBZs2ZlZWXRjlOX4TxB7Ro5cmRISEjr1q1jYmJUVVVpxwGQM2VlZR06dHj06JGHh0dwcDDtOHUWxgS16OjRoyEhIUpKSvv370cNANSAiorKvn37eDzekSNHwsLCaMeps9AEtSUzM5OdF1qyZImdnR3tOADyyt7eftGiRYSQWbNmZWdn045TN2F2qLaMGzfun3/+adu27Z07d1RUVGjHAZBjAoHA3t7+yZMnXl5ehw4doh2nDkIT1IqoqCgXFxcOhxMdHd2pUyfacQDkXkxMTOfOnRmGuXTpUs+ePWnHqWswOyR5AoFg5syZhJCZM2eiBgAkomPHjux06+zZswUCAe04dQ2aQPLWrVuXkJBgZGT0+++/084CUHesWrXK0NAwISFhw4YNtLPUNZgdkrDk5ORWrVoJBILDhw97enrSjgNQpxw6dGjMmDFqampxcXFNmzalHafuwJhAwnx9fQUCgaurq4eHB+0sAHWNl5eXs7NzaWnpvHnzaGepUzAmkKSIiAhXV1clJaXHjx/b2NjQjgNQBz19+rRt27bl5eXnzp3r27cv7Th1BMYEEiMUCufPn08ImT17NmoAoJY0b96cXZPOz89PKBTSjlNHYEwgMQEBATNmzNDR0UlOTtbV1aUdB6DOys3NtbS0zMvLCwgImDZtGu04dQHGBJKRn5+/bNkyQshvv/2GGgCoVbq6ur/88gshZNmyZYWFhbTj1AVoAsn4/fffs7KybG1tZ8yYQTsLQN03a9YsS0vLzMxM7HApEZgdkoBXr15ZWFiUlpaeOnVq4MCBtOMAKIRjx44NGzZMTU0tKSmpSZMmtOPIN4wJJOD3338vLS11cHAYMGAA7SwAisLd3b1bt26lpaVr1qyhnUXuYUzwvdLS0qytrcvLyyMjI3v06EE7DoACuXLlSo8ePZSVlZOSkszMzGjHkWMYE3yvFStWlJeX9+zZEzUAIGXOzs4uLi7l5eWrVq2inUW+YUzwXRISElq0aCEWi6Ojo7E5JYD03bp1q1u3bjweLyEhwcLCgnYceYUxwXdZuXKlWCweOHAgagCAiq5du/bt21ckEq1cuZJ2FjmGMUHNpaamWllZiUSie/fuYVcyAFpiYmI6derE5XITExMxLKgZjAlqbv369SKRyNXVFTUAQFHHjh3d3NzEYjFWq64xjAlq6O3bt2ZmZgKBICoqytnZmXYcAIXGXkSkpqaWnp5uYGBAO478wZighvz9/QUCQefOnZ2cnGhnAVB0Tk5OnTp1Ki0t3bJlC+0scgljgprIz883NTUtKCg4ceLE4MGDaccBgP9uOdbR0Xn+/LmWlhbtOHJG0ccE+/fv53A4HA7nxo0bHz7OMIyJiQmHw6n0tuG9e/cWFBS0aNECa0sAyIjBgwdbWVnl5eXt3r2bdhb5o+hNwFJTUwsKCvrwkatXr2ZkZKiqqn7+ZJFItHXrVkKIj48Pl4t/QACZwOPxFi5cSAj566+/RCIR7ThyBj/ICCGkX79+ISEhH+56ERQUZG9vb2Rk9PmTz549m5qaqqOjM3r0aClmBIBvGDNmjK6ublpa2tmzZ2lnkTNoAkIIGTVqVE5OTkREBPufZWVloaGhXl5elT6ZPSU1efJkDQ0N6UUEgG9RV1efNGkSIWTbtm20s8gZNAEhhJibmzs4OBw+fJj9z3PnzuXn53t6en7+zPj4+IiICC6XO3v2bOlmBIBvmzlzJofDuXDhQlJSEu0s8gRN8B8vL68TJ06UlJQQQg4dOuTk5NS4cePPn8aeIRg4cKC5ubmUEwLANzVr1qxfv36EkO3bt9POIk/QBP8ZOXJkSUnJ6dOnCwsLT58+XenUEJ/P/+effwgh7IbaACCD2PH6vn37iouLaWeRG2iC/+jr6/fq1SsoKOjYsWMikWj48OGfP+fYsWMFBQVNmzZ1cXGRfkIAqIo+ffo0a9YsPz8/LCyMdha5gSZ4z8vL69y5czt37nRzc2vQoMHnT/j7778JIRMnTsTFowAyi8vlTpw4kRCyf/9+2lnkBn6ivefu7s7lcqOjoyudGkpJSYmKiuJwOOPHj5d+NgCounHjxnE4nKioqLS0NNpZ5AOa4D0tLa0dO3b8+uuvld45zB5f9OrVy9TUVNrJAKA6TE1N2SncgwcP0s4iH9AEHxk/fvzy5cvV1dU/eVwsFh84cIAQwl6tDAAybsKECYSQ/fv3i8Vi2lnkAJqgSm7cuPH8+fP69esPGTKEdhYA+DZ3d3dtbe3U1NRPlhSDSil6E0yYMIFhmA4dOlT6p2lpaadPnyaEHDlyhBDi7u6upqYm1XwAUCOampojRowghFTcMQpfoehNUBWlpaXsbKOHhwftLABQVSNHjiSEsNeF084i69AE3+br61tUVMTlcn/44QfaWQCgqlxcXHR1dTMzM69du0Y7i6xDE3wbuwSFWCzG/esAckRZWZk9sRcSEkI7i6zDnmXfUF5e3qhRo5ycHEKIlpZWUlJSpUtVA4AMOn/+vJubm6Gh4cuXL3k8Hu04sgtjgm+4efNmTk6Onp5ehw4dioqKlixZQjsRAFRVz549dXR03r59e/36ddpZZBqa4BvCw8MJIQMGDPjrr78IIfv27bt79y7tUABQJcrKyuxO46dOnaKdRaahCb6BvYp0wIABDg4OY8aMYRjG29sbU2oA8oLdivzMmTO0g8g0nCf4msTERBsbG2Vl5ezs7Hr16r18+dLa2prP5wcFBY0aNYp2OgD4toKCAj09PaFQmJSUZGlpSTuOjMKY4GvYAYGTk1O9evUIIcbGxj///DMh5Mcff8TS5wByoV69et27dyeEYHPjr0ATfE3F1FDFIwsWLDAzM8vIyFi/fj29XABQDf379ydogq/C7NAXFRcXN2jQ4PNBZWho6IgRI9TU1BISErAuKYDsi4+Pb968uaqqak5OjqamJu04sghjgi+6ceOGUCg0MzOzsLD48PFhw4Y5OTmVlpb++OOPtLIBQNXZ2NiYm5sLBALcbPwlaIIvioyMJIS4uLhwOJwPH+dwOP7+/hwO58iRI7hIGUD2cTgcdruCK1eu0M4io9AEX1TRBJ//Ubt27aZOnUoI8fb2xuJWALLP2dmZoAm+DOcJKpeXl9ewYUOxWJyRkWFsbPz5E7KysqysrPLz8/fs2TN58mTpJwSAqnvx4oWpqSmPx8vNzWUvBYQPYUxQuWvXronFYhsbm0prgBCir6+/fPlyQsjixYvz8/Olmw4AqsfExMTCwkIkEt28eZN2FlmEJqgce2apR48eX3nO7NmzbWxsMjMzV61aJa1cAFBD7ARRVFQU7SCyCE1QuejoaEJI165dv/IcFRWVjRs3EkI2b96cmJgopWQAUCNOTk6EEFzlUSk0QSXKysru3btHCOncufPXn9mvXz83N7fy8vIFCxZIJRoA1JCDgwMh5MGDB2VlZbSzyBw0QSViY2MFAoGOjo6VldU3n7xx40YlJaXTp09fuHBBCtkAoGYsLCx0dHQEAsGjR49oZ5E5aIJKsFNDnTt3/uROgkrZ2trOnTuXEOLr61teXl7r4QCgRjgcTqdOnQghd+7coZ1F5qAJKsE2QZcuXar4/F9++aVhw4ZPnz7dsWNHbeYCgO+CJvgSNEEl2A/KN08SVGjQoAF7+dDy5cuzs7NrMRkAfAc0wZfgzrJPFRcXa2trMwzz5s0bQ0PDKv4tkUhkZ2cXGxs7c+ZMbHwPIJvevn1rZGTE4XAKCgq0tLRox5EhGBN8Ki4ujmEYAwODqtcAIYTH423evJkQEhAQgPNRALLJ0NDQyMiIYZi4uDjaWWQLmuBTsbGxhJA2bdpU9y86OzsPHz5cLBZje0sAmdWqVStCyOPHj2kHkS1ogk+xR/Q1aAJCyPr161VVVaOiok6cOCHhWAAgCWiCSqEJPsWOCVq3bl2Dv2tubu7n50cIWbBgQWlpqYSTAcB3QxNUCk3wqe8ZExBCFi1a1Lhx49TU1E2bNkk0FwBIAJqgUrh26CO5ubl6enqEkKKiohrvchcYGDh27FhNTc3ExMTGjRtLNCAAfJfCwkJ2VeqcnBxdXV3acWQFxgQfefbsGSGkUaNG37PZqZeXV5cuXYqLixcvXiy5aAAgAdra2uxS88nJybSzyBA0wUfYD8eH+9fXAJfLZa8oPXDgAO5hAZA1zZo1I4SkpKTQDiJD0AQfYccE39kEhJBOnTqNHz+eEDJv3jyxWCyBZAAgIWiCz6EJPsKOCSwsLL7/pX7//XdNTc3/+7//CwoK+v5XAwBJQRN8Dk3wEYnMDrEaN268ZMkSQshPP/1UVFT0/S8IABKBJvgcmuAj6enphBBzc3OJvJqvr2/Tpk1fvXq1du1aibwgAHw/dtDPTgUDC1eRvicWi1VVVYVC4YsXL5o0aSKR1zx+/PjQoUNVVVXj4+MlVTAA8D1evXplbGzM5XLLysp4PB7tODIBY4L3srOzhUIhh8Op1tpzXzdkyBAXFxeBQLBw4UJJvSYAfA8DAwMOhyMWi7GGfAU0wXuvXr0ihBgYGCgrK0vqNTkcjr+/P5fLDQ0NvXr1qqReFgBqTElJSV9fnxDy5s0b2llkBZrgPbYJJH5XcOvWradPn04I8fb2FolEkn1xAKgBIyMjgib4AJrgvVpqAkLIihUrGjRo8O+//+7du1fiLw4A1dWoUSNCyOvXr2kHkRVogvfYAwT2YEGyGjZs+NtvvxFClixZ8u7dO4m/PgBUC8YEn0ATvJeXl0cIYVegk7iZM2c2b948Ozt7xYoVtfH6AFB17FUhb9++pR1EVqAJ3mOP1hs0aFAbL66srMyuU71ly5b4+PjaeAsAqCL22zw/P592EFmBJnivVpuAENKnT58BAwYIhcIFCxbU0lsAQFXUr1+foAk+gCZ4r7abgBCyYcMGZWXls2fPnj17tvbeBQC+jm2CgoIC2kFkBZrgPSk0gbW1tbe3NyFk/vz5ZWVltfdGAPAV7GY1GBNUQBO8xzYBe7BQe5YuXWpgYJCQkLBt27ZafSMA+BLMDn0CTfAen88nhHzPbmVVUb9+/dWrVxNCfvvtt8zMzFp9LwCoFMYEn0ATvMdO16ioqNT2G02cOLF9+/b5+fnLli2r7fcCgM+pq6sTQgQCAe0gsgJN8B7bBKqqqrX9Rjwej93ecvfu3Q8fPqzttwOAT7Bri5WXl9MOIivQBO+xBwhSGBMQQrp37+7h4cEwjI+PDxYGB5AyNMEn0AT/YRiG/VhIYUzAWrdunZqa2tWrV8PCwqTzjlCpjIyMqKiojIwM2kFAepSUlAghQqGQdhBZgSb4T8U1ndIZExBCTE1Nf/zxR0KIn59fSUmJdN4UPrF3714zMzMXFxczMzOsD6g42DGBWCwWi8W0s8gE7Fn2Hz6fz141VFhYqKWlJZ03LS4utrW1zcjIWLly5dKlS6XzplAhIyPDzMys4mcBj8dLS0uT1HZ1IMvevn3LLkKXl5dXq7cQyQuMCf5TsYmdNLcQ0NTUXLduHSFkzZo1L1++lNr7AispKenDQ0KRSJScnEwxD0gNh8Nhf4NTBSw0wX+oNAEhxNPTs1u3bnw+f9GiRdJ8X4Xy5MmTMWPGGBsbq6qqNm7cePTo0U+ePCGEWFlZcbnvvwV4PJ6lpSW9mCA9FacD2ctJAU3wn4omkPJJJA6Hs3nzZg6HExgYePv2bWm+tYI4duyYnZ3d5cuXJ06cuH379smTJ0dFRdnZ2R0/frxJkya7du1iv/Q8Hi8gIABTQwqiYiwotfOCMg7nCd7j8XhisfjVq1fsfkbSNGnSpH379nXs2DE6OvrDo1T4Ts+ePWvTpo2pqem1a9fYrWsJIdnZ2d27d3/x4kVsbGyzZs0yMjKSk5MtLS1RA4rjzZs3jRo14nK5QqGwYqZIkeGHznvssSGVrYZ///13LS2tmJiYf/75R/rvXoetX7+ez+fv2rWrogYIIQ0bNgwICCguLmZP0jRp0sTZ2Rk1oFBKS0sJIWpqaqgBFprgPfYSYypnkIyMjNiVJ37++efCwkLpB6irwsPDzc3Nu3fv/snjjo6O5ubmZ86coZIKqKtoAtpBZAWa4D324tGioiIq7+7t7W1hYfH69es1a9ZQCVD35Ofnv3r1qm3btpX+aZs2bTIyMtC7iom9gwdNUAFN8J62tjYhhNaPBlVV1Y0bNxJCNmzYkJKSQiVDHcN+Kdkv6+fYx7FXiWLCmOATaIL32DEBxYPEgQMH9urVq6yszM/Pj1aGuuTr1f71noC6DWOCT6AJ3qM7JiCEcDicTZs28Xi848ePR0ZG0opRZ9SvX79Ro0axsbGV/mlsbKyxsTG7Tj0oGulsSyVH0ATvUW8CQkirVq1mzpxJCPHx8cHyWN9vwIABqampN27c+OTx69evp6WlDRgwgEoqoC4vL48QoqurSzuIrEATvCcLTUAI+e2333R1dR89erR79266SeqAhQsXqqurT58+PScnp+LB3NzcGTNmaGhoLFy4kGI2oCg3N5egCT6AJnhPT0+PEJKdnU03hq6u7ooVKwghy5YtYz+vUGNWVlYHDhxISkpq3br1smXL/v77719++aV169bJycn//POPhYUF7YBAB5rgE2iC9wwMDAghsrC38PTp01u2bJmTk/Pbb7/RziL3RowYce/ePWdn5717986YMWP37t1OTk737t0bOnQo7WhADdsEOjo6tIPICiXaAWSIoaEhIeTt27e0gxAlJSV/f//evXtv27Zt+vTpLVq0oJ1IvrVu3TooKIh2CpAhGBN8AmOC99gmkIUxASGkV69egwcPFolEvr6+WBsKQLLYA74P1yBRcGiC99jZIVkYE7D+/PNPFRWVixcvYlEEAMliNyvFYlMV0ATvyc7sEMvS0tLX15cQ4uvrW7G5JgB8J4Zh2I2h0AQV0ATvsYtRFxUV5efn087ynyVLlhgaGiYnJ//111+0swDUEdnZ2eyhVePGjWlnkRVogve0tbXZC0nT09NpZ/mPtrY2uyDdihUrZGewAiDX2AGBgYEBtqmpgCb4iLm5OSEkLS2Nco4PjB8/3t7evrCwEFveA0gEpoY+hyb4SNOmTYmMNQGXy2Wnhvbu3Xv//n3acQDkHjvoRxN8CE3wEXZMkJqaSjvIR7p27erl5cUwjLe3N64oBfhOiYmJhBArKyvaQWQImuAjMjgmYP3xxx/q6uo3btw4evQo7SwA8i0pKYkQYm1tTTuIDEETfIRtgmfPntEO8ikTE5NFixYRQhYuXMjn82nHAZBjbBNgTPAhNMFHmjdvTghJSEiQwRWh/fz8TE1NX7x48eeff9LOAiCvysvL2T0B0QQfQhN8xNTUVENDo6ysTAb3j9TQ0Fi/fj0h5I8//njx4gXtOAByKS0tTSQSaWho4GaCD6EJPsLlctlhQVxcHO0slRgxYkT37t1LSkp++ukn2lkA5FJCQgIhxNLSksvFT7/38G/xKXbhT9lsAg6Hs3nzZg6Hc/jw4c/34QKAb/r3338JIa1bt6YdRLagCT7VsmVLQsiTJ09oB6lc+/btJ0+eTAjx8fERi8W04wDIGbYJ2rZtSzuIbEETfIodEzx+/Jh2kC9atWpVvXr17t27d+DAAdpZAOQMmqBSHNyp9IkXL16YmpoqKSkVFBSoq6vTjlO5DRs2+Pn5GRoaJiYm1qtXj3YcAPlQXFysra3NMMybN2/YtYeBhTHBp5o0aWJgYCAUCtljB9k0d+5cKyurt2/frl69mnYWALnx+PFjhmGMjIxQA59AE3yKw+F07NiREHL37l3aWb5IRUVl48aNhJBNmzaxt8kAwDc9fPiQYGqoMmiCSnTo0IEQEhMTQzvI1/Tv379Pnz7l5eV+fn60swDIh+joaPK/b3D4EJqgEuwHRZbHBIQQDoezadMmHo936tSpiIgI2nEA5MDt27cJIV27dqUdRObgjHEl3rx506hRIw6Hk5+fr62tTTvO1/j4+GzevLlFixb//vuvkpIS7TgAsisnJ6dhw4bsb3R1dWnHkS0YE1TCyMjIzMyMYRj2CEKWLV++XE9PLy4ubufOnbSzAMg0dmrIxsYGNfA5NEHlnJycCCHXrl2jHeQbdHR0Vq5cSQj55ZdfcnJyaMcBkF3sgZ2DgwPtILIITVA5R0dHQsjVq1dpB/m2qVOntm7dOi8vb/ny5bSzAMiuW7duEZwk+AKcJ6hcUlKStbW1iorKu3fvZPb+sgqRkZE9e/bk8XgPHz5s1aoV7TgAMqe0tFRHR6e0tDQuLo5dZRI+hDFB5SwtLRs1alRWVnbnzh3aWb7NxcVl6NChIpHIx8cH1Q7wuVu3bpWWljZq1MjW1pZ2FlmEJqgch8ORowkiQsj69etVVVUvX7586tQp2lkAZM6lS5cIIb169eJwOLSzyCI0wRf16NGDECIvl+o3a9ZswYIFhJD58+cLBALacQBky+XLlwkhPXv2pB1ERuE8wRelpaU1bdqUx+NlZ2c3aNCAdpxvKyoqsra2fv369R9//IGtbAAqvHv3Tk9PTywWv3jxokmTJrTjyCKMCb7I3Nzc1tZWJBLJy7BAS0vrjz/+IISsWrXqzZs3tOMAyIorV66IxWIbGxvUwJegCb7Gzc2NEHLu3DnaQapqzJgxnTp1KioqWrx4Me0sALLizJkzhJDevXvTDiK70ARfwzbB+fPn5WUOjcvlbt68mRCyb98+GV9BD0A6xGJxeHg4IWTQoEG0s8guNMHXODo6amhovH79Wpb3KvhEly5dxo4dSwjx9vaWlwIDqD0xMTFv377V1tZmFw6ASqEJvkZVVZW92ODkyZO0s1TDmjVrNDQ0bt++ffjwYdpZAChjr6t2c3NTUVGhnUV2oQm+YejQoYSQsLAw2kGqwdjYmD1P8NNPPxUXF9OOA0AT2wSYGvo6XEX6Dbm5uYaGhkKhMCEhwdramnacqiopKWnRokVaWtovv/zy22+/0Y4DQEdKSoqFhQWPx8vMzMQSpF+BMcE36Orquri4EHkbFqirq//555+EkHXr1qWnp9OOA0BHaGgoIcTR0RE18HVogm8bNmwYkbcmIIQMHTrU2dm5tLT0xx9/pJ0FgI7g4GBCiIeHB+0gsg6zQ9+WmZnZqFEjsVicmppqbm5OO041/Pvvv3Z2dmKx+OrVq+wySgCKIyEhwdbWVklJ6c2bN3p6erTjyDSMCb7NwMCAvf5M7i7Fadu27dSpUwkhPj4+IpGIdhwAqWK/YV1dXVED34QmqJIxY8YQQg4ePCh3Q6iVK1fWr1//wYMH+/bto50FQHoYhmGbYNSoUbSzyAHMDlVJQUGBkZFRSUnJnTt3OnbsSDtO9fj7+/v6+urr6yclJdWvX592HABpuH//vr29vZqaWmZmpra2Nu04sg5jgiqpV6+eu7s7IeTAgQO0s1Tb7NmzbW1ts7Ky2B2PARQB+606YMAA1EBVYExQVRcuXOjbt6+uru7r16/l7mbFc+fO9evXT0lJ6fHjxzY2NrTjANSu0tLSxo0b5+XlnTt3rm/fvrTjyAGMCaqqV69ejRo1ys3NZdc1lC9ubm79+vUTCoXsbjYAddvx48fz8vJMTEyw/mgVoQmqisfjsSu77d69m3aWmti4caOSktKZM2fOnz9POwtA7dqzZw8hZNKkSTwej3YW+YDZoWpITk62srLicDjJycnNmjWjHafaFixYsHHjRltb29jYWGVlZdpxAGoFu8IEh8NJTU01MzOjHUc+YExQDZaWln369GEYJiAggHaWmli2bJm+vn58fPz27dtpZwGoLXv37iWEuLq6ogaqDk1QPTNnziSE/P3336WlpbSzVFuDBg1WrVpFCFm+fHlWVhbtOACSV1pays7fTpkyhXYWeYImqJ7+/fubmJhkZ2ezK1vJncmTJ7dt2zY/P/+XX36hnQVA8oKDg7OyskxMTIYMGUI7izxBE1SPkpLStGnTCCFyOsHC4/HY7S137doVGxtLOw6AJDEMw368Z8+eraSkRDuOPMEZ42p78+aNmZlZWVnZ7du3u3TpQjtOTYwcOTIkJKRHjx6XL1/mcDi04wBIxvXr1x0dHdXV1TMyMrAMdbVgTFBtRkZGo0ePJoSsX7+edpYaWrdunZqaWlRU1PHjx2lnAZAYdkAwduxY1EB1YUxQE3FxcS1btuRwOAkJCVZWVrTj1MSyZctWrVplbm7+9OlTNTU12nEAvldaWpqFhYVYLH78+HHLli1px5EzGBPURIsWLfr3788wzMaNG2lnqaFFixYZGxunpaXJ7/8CwIfWrVsnFot79+6NGqgBjAlq6OrVq87Ozmpqaunp6QYGBrTj1MShQ4fGjBmjqamZmJjYuHFj2nEAau7169dNmzYVCARXrlxhdxOBasGYoIYcHR07dOhQWlq6ZcsW2llqyMvLy8HBobi4+Oeff6adBeC7bNy4USAQdOvWDXvz1QzGBDV37NixYcOGaWtrp6WlyekZqpiYmE6dOhFCoqOjO3fuTDsOQE3k5OSYmZkVFxefOXOmX79+tOPIJYwJam7IkCFt2rQpLCyU36n2jh07jh8/nhDi7e0tFotpxwGoib/++qu4uLh9+/Zubm60s8grjAm+Czss0NLSSktLk9O9Ul+/fm1tbV1UVHTw4EF2sVUAOZKXl9esWbN3796FhIQMHz6cdhx5hTHBdxkyZEjbtm2Liorkd1jQqFGjJUuWEEIWLVpUVFREOw5A9axfv/7du3etWrVidxWEmsGY4HudOHHC3d1dS0srNTW1YcOGtOPURGlpacuWLVNSUpYsWcIuUQcgF968eWNhYcHn80+ePDlo0CDaceQYxgTfa/Dgwe3bty8qKlqzZg3tLDWkpqa2YcMGQsiff/6ZmppKOw5AVa1atYrP53fp0mXgwIG0s8g3jAkk4Pz5825ubioqKvHx8U2bNqUdpyYYhunVq1dkZOSwYcPkdJlVUDSpqak2Njbl5eWRkZE9evSgHUe+YUwgAX369OnVq1dZWdnixYtpZ6khDofj7+/P5XLDwsKuXLlCOw7Aty1fvry8vLx3796oge+HMYFkPHz40M7OjmGYO3fudOzYkXacGpo9e/b27dvbtGlz//59bAALsuzu3bvsN1pMTEyHDh1ox5F7GBNIRrt27dhLMP38/OS3XFesWKGjoxMbG8tuCA4gmxiG8fHxIYSMGTMGNSARGBNIzIsXL6ytrUtLS48fPy6/+yVt2bJl3rx5enp6SUlJOjo6tOMAVCI4OHjUqFEaGhqJiYnGxsa049QFGBNIjImJyfz58wkhvr6+JSUltOPU0IwZM5o3b56Tk7NixQraWQAqwefzFy5cSP63ni7tOHUEmkCSFi9ebGJikpaW9scff9DOUkPKysqbNm0ihGzdujU+Pp52HIBPrV+/PiMjw9TU1M/Pj3aWugOzQxIWFhY2fPhwVVXVx48fW1pa0o5TQ4MGDQoPD3dzczt79iztLADvpaamtmzZsqSk5MiRIyNHjqQdp+7AmEDChg4d6urqKhAI5s2bJ78tu2HDBmVl5XPnzqEJQHYwDDNr1qySkhJnZ+cRI0bQjlOnoAkkjMPhbNmyhf0xevLkSdpxasjKyoq9NsPX17esrIx2HABCCDl69Oj58+dVVFR27tzJ4XBox6lT0ASSZ21tzc5gzp07t6CggHacGlq6dKmBgUFiYuLWrVtpZwEgeXl53t7ehJDFixfb2NjQjlPX4DxBreDz+W3atHn27Nn06dN37txJO04N7d27d8qUKfXq1UtKSpLTHTqhzpgxY0ZAQICtre3Dhw9VVVVpx6lr0AS15cqVK+xN8PK7KIpIJOrUqdP9+/enTZsWEBBAOw4orhs3bnTv3p0QcvXqVexPWRswO1RbnJ2dZ8yYQQiZMmVKcXEx7Tg1wePxNm/eTAjZvXv3w4cPaccBBVVcXDxhwgRCyOTJk1EDtQRNUIvWrl1rYmKSkpKydOlS2llq6IcffvD09GQYxtvbG8NHoOKnn3569uyZiYkJu3Y61AbMDtUudsFqDodz5coVOT2cef78ua2tbUlJydGjR3HpHkjZpUuXevfuTQiJiIjo1asX7Th1FsYEtatv376TJk1iGGbs2LHv3r2jHacmTE1Nf/zxR0KIn5+f/K6iAfIoPz9/4sSJhJDZs2ejBmoVmqDW+fv7W1hYPH/+fPbs2bSz1NCPP/7YpEmT58+fY3gO0uTt7Z2RkWFhYbF27VraWeo4NEGt09bWDgwM5PF4QUFBhw4doh2nJjQ0NNavX08IWbNmTUZGBu04oBCCg4MPHDjA4XAOHDigqalJO04dhyaQhi5duixfvpwQMmvWrLS0NNpxasLDw6Nbt258Pn/RokW0s0Ddl5ycPG3aNELI0qVLu3XrRjtO3YczxlIiFAqdnJxu3brVtWvXK1euKCsr005Ubffu3evYsSPDMDdv3uzatSvtOFBnCQSCbt263bt3r3v37pGRkUpKSrQT1X0YE0iJkpJSYGBg/fr1b926JaeH1fb29uzpO29vb7FYTDsO1Fk//fTTvXv39PT0goKCUAPSgTGBVJ04ccLd3Z0QEhYWNnToUNpxqu3NmzfW1taFhYX79+8fP3487ThQB506dWrw4MGEkPDw8AEDBtCOoygwJpCqIUOGsIvTTZw4MSkpiXacajMyMlq2bBkhZNGiRYWFhbTjQF2TnJw8btw4Qoivry9qQJowJpC28vLynj17Xr9+vXXr1tHR0RoaGrQTVY9AIGjVqlVycvKiRYvWrFlDOw7UHUVFRV26dHny5ImDg8OVK1dUVFRoJ1IgGBNIm7KycnBwsKGh4aNHj6ZPny53TayqqsreVbBx48Znz57RjgN1BMMwEydOfPLkSaNGjcLCwlADUoYmoKBx48aHDx/m8XiBgYHsdfryZeDAgb179y4rK8NGsiApa9euDQ0NVVZWDg0NbdSoEe04CgezQ9Rs27Ztzpw5HA7n5MmTAwcOpB2nep48edK2bVuRSHTp0qWePXvSjgPy7fz58/369WMYJiAggL2NAKQMYwJqZs2aNWPGDIZhvLy8Hj9+TDtO9bRs2XLWrFmEEB8fH6FQSDsOyLHHjx97eHgwDDN16lTUAC0YE9BUXl7ep0+fqKgoc3PzO3fu6Ovr005UDbm5uVZWVrm5udu2bWNbAaC6Xr9+3aVLl+fPnzs6Ol68eBGbkdGCJqAsJyenc+fOz54969atW0REhLq6Ou1E1bB9+/bZs2fr6uomJSXp6urSjgNypri42NnZ+e7du9bW1rdv38ZHiCLMDlGmp6cXHh7eoEGDmzdvenl5iUQi2omqYdq0aa1atcrNzf31119pZwE5IxKJRo8efffu3YYNG545cwY1QBeagL7mzZufPHlSVVX1xIkTc+bMkaNRmpKSkr+/PyFk+/btcXFxtOOA3GAYZsGCBezH/uTJk5aWlrQTKTo0gUxwdHQ8dOgQh8PZuXPn6tWracephp49ew4ZMkQkEvn4+MhRhwFdv//+O7tF9oEDB7CaoUxgQGZs2bKF/aLs2bOHdpZqSE5OZu8DOnXqFO0sIAe2bdvGfs79/f1pZ4H/oAlkC7tMKZfLPXLkCO0s1cDGtrS0LC0tpZ0FZBo79iWE/PLLL7SzwHtoAtkiFosnT55MCFFSUjpx4gTtOFVVUFBgZGRECFm3bh3tLCC7wsPDeTweIWTOnDlisZh2HHgPV5HKHJFING7cuKCgIBUVlVOnTvXp04d2oirZv3//xIkTtbW1k5KSDA0NaccBmXPp0qWBAweWlpaOHj364MGDXC5OUsoQfDFkDo/HO3DgwLBhw8rKyoYMGRIVFUU7UZWMGzeuQ4cOhYWFS5YsoZ0FZE5ERARbAwMHDty3bx9qQNZgTCCjysrKhg8fHh4erqmpee7cue7du9NO9G23b9/u2rUrh8OJiYmxt7enHQdkRURExKBBg9gaCAkJwY3EMgjNLKNUVFSOHj3q6upaXFzcp0+fS5cu0U70bQ4ODqNHj2YYxtvbG0cYwLp48SJqQPZhTCDTSkpKhg8ffvbsWVVV1dDQUNnfxSkjI8PGxobP5x8+fNjT05N2HKDswoULQ4YMYWsgNDQUuw7ILIwJZJq6uvrx48eHDh0qEAjc3d1DQkJoJ/qGJk2asFeU/vjjj3w+n3YcoOno0aPsuYFBgwahBmQcmkDWqaioHDlyxMvLSygUenp6Hjx4kHaib/Dz8zM1NX3x4oU8bsIDkhIQEODp6VleXj5y5MiQkBDUgKyjeQkrVJlQKJwyZQr7JVu/fr2MX4t99OhRQoi6unp6ejrtLCBtYrG4YsWU6dOnC4VC2ong29AEckMkEs2fP5/9Bps3b54sf4OJxWJHR0dCiKenJ+0sIFUffkqXLFki44csUAFNIGfY3eQJIcOHDy8pKaEd54vu37/PLipw7do12llASkpKSjw8PNjP58aNG2nHgWpAE8ifw4cPs7Ou3bt3z83NpR3ni6ZOnUoIsbOzE4lEtLNArcvMzHRwcCCEKCsrHzhwgHYcqB5cRSqXoqKihgwZUlBQYGNjc+rUKWtra9qJKpGZmWllZVVQULB3795JkybRjgO1KD4+vn///ikpKQ0aNDh27FiPHj1oJ4LqwbVDcqlHjx43btxo0qRJQkJC586dIyIiaCeqhIGBwfLlywkhP//8c0FBAe04UFsiIyMdHBxSUlKaNWt2+/Zt1IA8QhPIq9atW8fExDg4OLx7987Nze2vv/6SweHdnDlzrK2tMzMzV61aRTsLSB7DMFu3bu3Tp8+7d++6du0aHR1ta2tLOxTUCOXZKfg+paWl48ePZ7+UkydPFggEtBN96vTp04QQZWXlxMRE2llAkvh8/rhx49jP3qhRo2T5+gX4JjSB3BOLxX/++Se7uGOXLl1k7RJ+sVjct29fQsjAgQNpZwGJSUtLs7OzI4RwudwNGzbgalF5hzPGdcS5c+e8vLzevXunp6cXGBjI/vCVEU+fPm3Tpo1QKLxw4YKrqyvtOPC9Ll++7OHhkZOT07BhwyNHjri4uNBOBN8L5wnqCDc3t/v379vZ2eXk5PTr12/ZsmUikYh2qP80b958zpw5hBBfX9/y8nLacaDmhELhr7/+6urqmpOTY29vf+/ePdRAHUF7UAKSVFJSMmPGDPYr6+Li8ubNG9qJ/pObm9uwYUNCCHtmG+TRixcv2FvHCSGTJk3i8/m0E4HEoAnqoEOHDmlqahJC9PX1w8PDacf5z44dOwghDRo0yMrKop0Fqu3kyZO6urqEEC0trcDAQNpxQMLQBHVTXFxc69at2cO3GTNmFBcX007ECIXCNm3aEEJmzZpFOwtUA5/PnzdvHvtZsre3T0pKop0IJA9NUGeVlJRUrAVmY2Nz9+5d2omYyMhIQgiXy42NjaWdBark//7v/ypuEViwYIEMXqYMEoEmqOMuXbpkbGxMCFFSUlq5cmVZWRndPMOGDWPPYeC6QxlXWlq6ePFi9upkIyOjM2fO0E4EtQhNUPfl5OQMHz6cPaxr27btvXv3KIZJSUlhd7I9fvw4xRjwdQ8ePGCn8gghXl5eOTk5tBNB7UITKASxWBwYGKinp0cI4fF4P/30E8ULPxYvXkwIadasGe5KlUF8Pn/p0qVKSkqEkIYNG4aGhtJOBNKAJlAgb9++rVg+3tramtbOAYWFhY0aNSKErFmzhkoA+JKIiAhLS0v2E+Lu7v727VvaiUBK0AQK58SJE+wPYkLI+PHjqdxzwO7GrKWl9erVK+m/O3zu7du3o0ePZj8VxsbGYWFhOJGjUNAEiigvL4/dRoYQUr9+/c2bN5eXl0szgEgk6ty5MyFkwoQJ0nxf+JxQKNy5c6eOjg57Wde8efPy8/NphwJpQxMorujoaHt7e7YP2rRpI+XJoujoaPat79y5I833hQ9dvny54sywnZ1dTEwM7URAB5pAobHHg+y9o4QQDw+P5ORkqb372LFjCSFdunTBRIT0JSUlDRkyhP266+jo/PXXX1IeF4JMQRMAk52dPX36dHYDemVlZW9vb+ksCJGRkcGuioHVC6QpNzfXz89PWVmZvZBs7ty5uEgU0ATwn4cPH/bp04c9SKxXr96aNWukcKXp6tWr2VOURUVFtf1eUFhYuHr16vr167Nf5b59+8bFxdEOBTIBTQAfiYiIaN++fcU1JNu2bSstLa29tyspKTE3NyeELFu2rPbeBUpKSvz9/Q0MDNivbKtWrXDPMHwITQCfEolEgYGBpqamFX2wdevW2rsLLCwsjBCipqaWmppaS2+hyAQCwa5du0xMTNivpoWFxaFDh0QiEe1cIFvQBFC50tLSbdu2sWsWsX2wZcuW2ugDsVjs7OxMCBkxYoTEX1yRFRUVbdq06cOvYEBAAPWFp0A2oQnga0pLS7dv396kSRP2p4mhoeHq1aslfoLx4cOH7EpnV65ckewrK6bc3NwVK1awi4sQQho3brxp0yas7QFfgSaAb2P7oGKGQUNDY+7cuc+ePZPgW7BbrbVr104oFErwZRXNs2fP5s+fr6WlVTEXtGvXrlo90wN1A5oAqqqsrCwwMLBdu3bsTxkulzt8+PDr169L5G6AzMzMBg0aEEJ27dr1/a+maMRi8aVLlwYNGsReCkwIad26dVBQEG4RgCpCE0D1sD90+vbtS/6nZcuWW7Zseffu3Xe+sr+/PyFEX18/Ly9PEkkVQmFhYUBAQMuWLSu+HH369Dlz5gxu1oNqQRNADT169GjKlCkaGhoVU0ZTpkz5np3RysrK2O2x5s+fL8GcdZJYLL5169bkyZMrJoI0NTVnz5799OlT2tFALnEYhiEANfXu3bvAwMAdO3bExcWxj7Rp02bs2LFeXl6NGzeu7qudP3/ezc1NSUnp8ePHNjY2kg5bF2RmZh48ePDvv/9++vQp+4ilpeWsWbMmTZpUccsYQHWhCUACGIa5cePGzp07Q0NDy8rKCCFcLrdXr15jx451d3dnl5SoogEDBpw5c6Z///6nT5+utbzyp6Cg4OTJk8HBwRcvXhQKhYQQdXX1ESNGTJ48uXv37hWnBwBqBk0AkpSbmxsSEnLw4MFbt26xj2hqavbv33/o0KH9+vXT1tb+5iskJia2bNlSKBSePXvWzc2tlvPKOj6ff/r06eDg4LNnzwoEAvbBTp06TZ482dPTs169enTjQZ2BJoBa8ezZs8DAwH/++efZs2fsI6qqqq6ursOGDRs4cGDF6qeV8vPz27Bhg42NzaNHj9iF0hRNZmbm2bNnT506dfHixeLiYvZBGxubUaNGeXh4sGdTACQITQC1iGGYmJiYY8eOhYWFJScnsw/yeLxu3br17du3b9++bdu2Ze8p+1B+fr6VlVVWVtamTZt8fHykHZoShmGePHkSHh4eHh4eHR1d8Y1pbm7u6enp6enZpk0bzAJBLUETgDQwDPP48eOwsLBjx449evSo4nFDQ8M+ffr06dOnR48eFXtqEkJ27949bdq0+vXrJyUl6evr04gsJS9evLh8+fLly5cjIyNfvXpV8bidnd2AAQMGDhxob2+PAoDahiYAaUtJSblw4cL58+cvX75cMfVBCLG0tHR0dOzevbujo6OpqWnHjh0fPnw4Y8aMHTt2UEwrcQzDpKam3r59+/r165cvX64YKhFC1NTUXFxcBg4cOGDAgIoVPgCkAE0A1JSVld28efP8+fMXL178999/P/woNm7c2NLS8tq1a1wuNyoqytHRkWLO71dYWHjv3r3bt29HR0dHR0dnZmZW/BGXy+3YsWPPnj179uzZtWtXNTU1ijlBYaEJQCa8e/fu1q1b165du379ekxMTHl5+Yd/am5u3rFjx/bt2zdv3rx58+YWFhZKSkq0on6TWCxOSUmJjY2NjY39999/Y2NjU1JSPnyCsrKynZ2dg4NDjx49nJyccB8AUIcmAJnD5/Pv3LkTExNz7do1dkOVT56goqJiZWXVokULW1tbc3Nzc3NzMzMzExMTFRUVKUcVCoWvX79+9uxZUlJScnIy+2tycnJJScknz2zSpImDg0OXLl0cHBzat2+PY3+QKWgCoGn//v0TJ06MiYnp0KFDpU/IyMjQ0tK6f//+3bt3Hz169PTp06dPn/L5/M+fyeFwGjdubGZmZmRkZPA/+vr6BgYGOjo6WlpaWlpa2tra6urqVTkByzCMUCgsKCjI+1h2dvarV69evnzJ/vr27VuxWPz5X1dVVW3ZsmXbtm3btGnTtm3b1q1bN2zYsLr/OABSI7tDbABCCHvi1MXFxcXFhX1ELBa/ePEiLi7u6dOnCQkJ6enp6enpaWlppaWlL1++fPny5ddfkMPhaGlpqaur83g8Ho/H5XK5XC6Px+NwOGVlZQKBQCAQlJaWCgSCKh4kKSkpmZubW1lZWVpasr9aWlo2bdpUluevAD6BDyvIGS6Xa2ZmZmZm9uEdyAzDZGZmsq2Q+YGsrKy3b9/m5+cXFRWx1ykxDFNYWFhYWFjFt9PU1NT5gJ6eXuPGjY2NjY2NjdnfGBgYfH5LBIB8QRNAXcDhcAwNDQ0NDTt16vSl54jFYj6fX1RUVFRUxOfzxf8jEonY36ioqKh+TEtLS/rnHgCkD00AioLL5bJnC2gHAZA5GNUCACg6NAEAgKJDEwAAKDo0AQCAokMTAAAoOjQBAICiw1WkQN/ff/99/vz5Dx/x9vauylaXACARaAKg7/MdCCZMmIAmAJAarEAHAKDocJ4AAEDRoQkAABQdmgAAQNGhCQAAFB2aAABA0aEJAAAUHZoAAEDRoQkAABQdmgAAQNGhCQAAFB2aAABA0aEJAAAUHZoAAEDRoQkAABQdmgAAQNH9P1WxkwnKLtcsAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.86, 0.75), 'L': (0.71, 0.0), 'M': (0.14, 1.0)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': [], 'L': ['M'], 'M': ['L']}
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", 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<image>
# 顶点坐标 coordinates = {'R': (1.0, 0.5), 'C': (0.5, 1.0), 'O': (0.0, 0.5), 'L': (0.5, 0.0), 'H': (0.75, 0.25), 'Y': (0.6, 0.3), 'W': (0.2, 0.7)} radius = 0.0 connection_dict = {'R': ['C', 'L', 'H'], 'C': ['R', 'O', 'W'], 'O': ['C', 'L', 'Y', 'H', 'W'], 'L': ['O', 'R', 'H', 'Y'], 'H': ['R', 'L', 'O', 'Y', 'O'], 'Y': ['H', 'O', 'L', 'W'], 'W': ['O', 'C', 'Y']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.21, 0.59), 'A': (0.79, 0.59), 'U': (0.62, 1.0), 'V': (0.21, 0.0), 'I': (0.5, 0.29)} radius = 0.585786437626905 # 连接关系 connection_dict = {'O': ['A', 'U', 'I'], 'A': ['O', 'V', 'I'], 'U': ['O'], 'V': ['A', 'I'], 'I': ['V', 'A', 'O']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'N': (0.98, 0.5), 'A': (0.61, 1.0), 'S': (0.02, 0.81), 'P': (0.02, 0.19), 'F': (0.61, 0.0), 'K': (0.47, 0.66), 'V': (0.25, 0.5), 'M': (0.72, 0.85)} radius = 0.0 connection_dict = {'N': ['A', 'F', 'K', 'M'], 'A': ['N', 'S', 'M'], 'S': ['A', 'P', 'K', 'V', 'F'], 'P': ['S', 'F'], 'F': ['P', 'N', 'K', 'V', 'S'], 'K': ['F', 'N', 'S', 'V'], 'V': ['F', 'S', 'K', 'M'], 'M': ['N', 'A', 'V']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.29, 0.0), 'L': (0.71, 0.0), 'E': (0.71, 1.0), 'C': (0.29, 1.0), 'D': (0.5, 0.5), 'K': (0.29, 0.5), 'J': (0.47, 0.58)} radius = 0.0 connection_dict = {'G': ['L', 'C', 'E', 'D', 'K'], 'L': ['G', 'E', 'J'], 'E': ['L', 'C', 'G', 'D'], 'C': ['G', 'E', 'K'], 'D': ['G', 'E', 'K', 'J'], 'K': ['C', 'G', 'D', 'J'], 'J': ['L', 'D', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.94, 0.31), 'M': (0.72, 0.62), 'L': (0.35, 0.5), 'H': (0.35, 0.12), 'Q': (0.72, 0.0), 'W': (0.72, 1.0), 'T': (0.65, 0.21), 'B': (0.06, 0.4)} radius = 0.0 connection_dict = {'I': ['M', 'Q', 'W', 'T', 'H'], 'M': ['I', 'L', 'W', 'B'], 'L': ['M', 'H', 'B'], 'H': ['L', 'Q', 'T', 'I'], 'Q': ['H', 'I', 'W'], 'W': ['I', 'Q', 'M'], 'T': ['H', 'I', 'W', 'B'], 'B': ['L', 'T', 'M']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'P': (0.69, 0.71), 'Q': (0.37, 0.89), 'E': (1.0, 0.53), 'A': (0.86, 0.47), 'N': (0.0, 0.11)} radius = 0.4832939081642957 # 连接关系 connection_dict = {'O': ['A', 'E'], 'Q': ['E', 'P'], 'E': ['Q', 'P', 'A', 'O'], 'P': ['Q', 'E', 'A'], 'A': ['O', 'E', 'P', 'N'], 'N': ['A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (0.17, 0.0), 'I': (0.83, 0.0), 'G': (0.83, 1.0), 'L': (0.17, 1.0), 'K': (0.5, 0.5)} radius = 0.0 connection_dict = {'C': ['I', 'L', 'G', 'K'], 'I': ['C', 'G'], 'G': ['I', 'L', 'C', 'K'], 'L': ['C', 'G'], 'K': ['C', 'G']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'V': (0.88, 0.67), 'Q': (0.69, 1.0), 'Y': (0.31, 1.0), 'P': (0.12, 0.67), 'U': (0.31, 0.33), 'T': (0.69, 0.33), 'K': (0.88, 0.0)} radius = 0.0 connection_dict = {'V': ['Q', 'T', 'K'], 'Q': ['V', 'Y'], 'Y': ['Q', 'P', 'K'], 'P': ['Y', 'U'], 'U': ['P', 'T'], 'T': ['U', 'V', 'K'], 'K': ['V', 'T', 'Y']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.33, 0.21), 'U': (1.0, 0.21), 'M': (0.0, 0.79), 'K': (0.09, 0.74), 'G': (0.54, 0.48)} radius = 0.6666666666666667 # 连接关系 connection_dict = {'O': ['U', 'M', 'K', 'G'], 'U': ['O', 'K', 'M', 'G'], 'M': ['O', 'K', 'U'], 'K': ['U', 'M', 'O', 'G'], 'G': ['U', 'K', 'O']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.44, 0.3), 'R': (0.69, 0.71), 'H': (0.37, 0.89), 'P': (1.0, 0.53), 'Y': (0.0, 0.11)} radius = 0.4832939081642957 # 连接关系 connection_dict = {'O': [], 'H': ['P', 'R'], 'P': ['H', 'R', 'Y'], 'R': ['H', 'P'], 'Y': ['P']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'F': (0.0, 0.26), 'H': (1.0, 0.26), 'E': (0.88, 0.74), 'L': (0.44, 0.5), 'C': (0.5, 0.26)} radius = 0.0 connection_dict = {'F': ['H', 'E', 'L', 'C'], 'H': ['F', 'E', 'L', 'C'], 'E': ['F', 'H', 'L'], 'L': ['E', 'F', 'H', 'C'], 'C': ['H', 'F', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.17, 0.5), 'J': (0.5, 1.0), 'B': (0.83, 0.5), 'L': (0.5, 0.0), 'C': (0.5, 0.5), 'A': (0.7, 0.7)} radius = 0.0 connection_dict = {'I': ['J', 'L', 'B', 'C'], 'J': ['I', 'B', 'A'], 'B': ['J', 'L', 'I', 'C', 'A'], 'L': ['I', 'B'], 'C': ['I', 'B', 'A'], 'A': ['J', 'B', 'C']}
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", 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<image>
# 顶点坐标 coordinates = {'B': (0.0, 0.18), 'F': (0.76, 0.18), 'E': (1.0, 0.82), 'C': (0.24, 0.82), 'L': (0.47, 0.48), 'D': (0.47, 0.18)} radius = 0.0 connection_dict = {'B': ['F', 'C', 'L', 'D'], 'F': ['B', 'E', 'D'], 'E': ['F', 'C', 'L'], 'C': ['B', 'E', 'L'], 'L': ['E', 'B', 'C', 'D'], 'D': ['B', 'F', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'T': (0.5, 0.69), 'M': (0.0, 0.98), 'U': (1.0, 0.4), 'R': (0.56, 0.21), 'W': (0.75, 0.54)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['R', 'U'], 'M': ['U', 'T'], 'U': ['M', 'T', 'R', 'O', 'W'], 'T': ['M', 'U', 'R', 'W'], 'R': ['O', 'U', 'T', 'W'], 'W': ['T', 'U', 'R']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.22, 0.44), 'D': (1.0, 0.44), 'H': (0.78, 0.56), 'G': (0.45, 0.56), 'K': (0.0, 0.56)} radius = 0.0 connection_dict = {'J': ['D', 'G', 'K'], 'D': ['J', 'H'], 'H': ['D', 'G', 'K'], 'G': ['J', 'H', 'K'], 'K': ['G', 'H', 'J']}
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BASV2TYB3P9+8edP68srGxsaCggJHR0f+56mrq4uOjqbT6Tdv3mxsbMQLdXR0XF1d3d3dR48eDddKg65QV1cPCQmZMGHC2bNnJ06c6OHhQXYiIJDIPjzFbyUlJTIyMm5ubmw2m7vw0KFDCKHIyEi+xaisrAwKCpoxYwaeLI/16dNn3bp1cXFxrbMB0HW//PILQkhZWfnjx49kZwGCSByfWfbnn39u3bp11KhRM2bMkJeXj4+PDw0NdXR0jImJ6e4r0srKyqKiouh0+r1791gsFl5oZGSEbwO2tLQUkHMVQMS0tLSMGTMmMTHR1tb28ePHsKMJviCOTYAQunjx4rFjx169esVisfT19b28vDZv3tz613Pe+vz5M3cSHIfDwQsHDx6MC2DIkCFQAKC7ffjwwdzcvLa2dtu2bTt27CA7DhAsYtoE/JGXlxcREUGn0+Pj47nf52HDhuECGDhwILnxgLi5fPmyp6cnhUJ58ODBuHHjyI4DBAg0Ae/hSXDh4eHPnj3jLhwxYgQeBAST4ACJFi5ceP78+d69e6enp8Md6YALmoA3CILAk+DodHrrSXCjR4/GBaCrq0tuQgAQQg0NDRYWFm/evHF2dr569SoclgQYNEGXEATx4sULvAfw5s0bvBBPgnN3d3dxcflieiIApEtLS8NPLzh+/Pjy5cvJjgMEAjRBZ3A4HO4kuA8fPuCFMjIyeBLcjBkzYL8bCLLDhw+vXbtWVlY2JSVlyJAhZMcB5IMm6AA2m/306VNcANwBuXJycpMnT4ZJcECIEAQxffr0mzdvmpiYpKSkyMvLk50IkAyaoA0EQVy6dKmioiIzMzMyMrK0tBQvV1RUnDZtGo1Gc3JyEvxxLgB8oaysbOjQocXFxUuXLj116hTZcQDJoAna0NDQoKioyP2roqKim5sbTIIDIuD+/fsTJ04kCCI8PJxGo5EdB5AJHvLQhoqKitZ/ra+vp9Ppp06dio+PJysSADzh4OCwefNmhNCiRYvy8/PJjgPIBPsEbSgtLcXX/1hbW2dnZ3OnhCKEqFSqra3tmjVrZsyYQV5AADqvpaXFzs4uOTnZzs7u4cOHMIVCbME+QXv99NNPNTU16enpXl5eqqqqCCEGg/HgwQNnZ2dZWdnRo0dfvnyZO0kCAKEgLS0dGhrao0ePuLi4Xbt2kR0HkAaaoGOGDh2KTyC/fft23rx5GhoaCKHm5ua4uDhPT09ZWVlra+tz585BJQBhYWBgcPr0aYTQzp07nzx5QnYcQA5ogk4yNjb+559/SktL8/Ly/Pz8dHR0EEIsFislJWXRokUyMjLDhg07duxYc3Mz2UkBaIOXl9e8efM4HM7s2bO5j8kDYgWaoKv69Olz4sSJz58/FxUVrVu3Dj8Ah81mv3jxYtWqVXJycoMHD963bx+DwSA7KQDfdfToUWNj48LCwkWLFsG5QzEETdAGaWlp/AdJSckfv1JbW/vgwYP5+flVVVW//PILnjTH4XCysrI2b94sLy/fv3//7du319fXd3toADpIUVExLCxMWlr66tWr+GARECtw7VAbuPcTXLt2bfr06R363Pr6en9//5CQkLdv37b+Puvr68+aNWvjxo34zDMAAuLgwYMbNmygUqkpKSmmpqZkxwH8A03Qhq40AReDwThx4kRgYGBmZmbrk8m6urpubm5btmzR1tbmTVwAuoDD4UydOvXWrVuDBw9OSUmRk5MjOxHgEzg61AbuG3dXLgeiUqnr169/+fIlk8k8ceLE8OHD8bGmwsLCI0eO6Ojo6OjoLFu2LC8vjzehAegUCQmJwMBALS2tzMzMDRs2kB0H8A80QRuamprwH3hyFZCUlJSfn19qampzc3NgYOCIESPweYji4uLTp0/369dPQ0Nj7ty53AHXAPCZlpbWhQsXEEInT568evUq2XEAn0ATkENCQmLu3LkJCQkMBuPff/8dM2YMfopyeXn5hQsXBg4cqKqq6unp+eLFC7KTArHj6Oi4ceNGhNDChQsLCgrIjgP4AZqAZBISEu7u7o8fP2YwGDdv3pwwYQI+OFtVVXX58uVhw4YpKSm5uLgkJCSQnRSIkV27dllaWlZVVc2ePZvNZpMdB3Q7aAIBMmXKlLt37zY2Nj58+HDq1Kn4THVdXV1UVJStra2ioqKTk9P9+/fJjglEn4yMTGhoqKKiYmxs7J9//kl2HNDtoAkE0bhx427cuFFXV5ecnOzm5oYfgNPQ0HDr1i2802Bvb3/t2jWyYwJRZmRkdPLkSYTQ9u3b4+LiyI4Duhc0gUCzsrKi0+nV1dWvXr3y9vbmTr57+PAhnnxnZ2cXGhoKY45Ad5gzZ46Pjw+Hw/H29q6qqiI7DuhG0ATCwdTU9OLFi3jy3fz58zU1NRFCzc3NT58+9fb25k6+g0O6gLeOHz9uZGRUUFCwePFiuPdIhEETtKH90yb4w9jY+Pz58yUlJXl5ecuXL+/VqxdqNflOVlbW3Nz86NGjMPkO8ESPHj1CQ0OlpKTodPrZs2fJjgO6CzRBG2RkZPAfuJUgIPr06XP8+PFPnz6VlJSsX7++T58+CCE2m52enr569Wru5LvGxkaykwLhZmlp+ddffyGE1qxZk5mZSXYc0C1g2kQbeDJtgj+qq6sPHDgQFhaWm5vL/c9KoVCMjIy8vb3Xr1+vpKREbkIgpDgcjpOT0507d4YMGZKUlARTKEQP7BO0gSfTJvhDRUVl165d79+/r62t3bVr18CBAykUCkEQ79692759u7Kysr6+/ubNm8vLy8lOCoSMhIREUFCQpqbmq1ev8E1nQMRAE7SBt9Mm+ENRUfHXX399/fp1Y2Pj33//PWTIEAkJCYTQx48f9+3bp6Ghoauru3r16s+fP5OdFAgNbW3toKAghNDx48ejoqLIjgN4DJpAlLWefHfq1CkLCwt83vvTp09Hjx7t3bu3jo7OkiVLPnz4QHZSIAQmT56Mx9ItWLCgsLCQ7DiAl6AJxIKUlNTSpUufPXvW3NwcFBTUevLd2bNnDQwM1NXVfX19X79+TXZSINB2795tYWFRWVk5Z84cuGRZlEATiBcJCQlfX188+S48PHzs2LF48l1FRUVwcLCJiUnPnj1nzpz5/PlzspMCQYSnUCgoKDx+/BhfUAREAzSBmJKQkKDRaI8ePWIwGNHR0RMnTsQXhFRXV//7778WFhZKSkrOzs5Pnz4lOykQLMbGxidOnEAI/fHHH/DjITKgCQDCFwg2NjY+fvx42rRp3Ml3165ds7OzU1BQmDx58t27d8mOCQSFj48PnlHq7e1dXV1NdhzAA9AE4H/GjBlz/fp1PPmORqPhyXeNjY23b992dHTEk++ioqIE/4Ja0K0oFMqJEycMDAzy8/OXLFkC9ySJAGiCNkhJSeE/CMi0Cf6wsrIKDw/Hk+9mz56tpqaG/v/kOxcXFzk5uVGjRl28eBEqQWwpKSnhKRT//vvvuXPnyI4DugqaoA34hCoSvGkT/GFqahoSElJeXv7+/fuFCxdyJ9/Fx8fPmTNHVlbWysoqICCAxWKRnRTwm7W1NX50werVq+GqM2EHTQDaxdDQMCAgoKSkpKCgoPXku2fPni1evFhWVtbMzOzw4cNCdP8d6LqffvppwoQJTU1Nnp6eDAaD7Dig86AJ2sA9BgoHQzFdXV3u5Luffvqpb9++CCEOh/Py5cu1a9dSqVQTE5M9e/bA5DtxICEhceHCBQ0NjZcvX27atInsOKDzoAnawH1HYzKZ5CYRNJqamvv37//48WNVVdXWrVsNDQ3xmKPXr19v2bJFUVHR2Nj4t99+q62tJTsp6EY6OjqBgYEIoaNHj16/fp3sOKCToAlAV6moqOzcufP9+/f19fW7d+/mTr57//79zp07lZWV+/Xrt2nTJph8J6qmTJmybt06hND8+fM/ffpEdhzQGdAEgGfk5eW3bNny+vVrBoNx6NAh7uS7vLy8/fv348l3q1atgjcL0fPXX38NGzasoqLCx8cHplAII2gCwHsyMjJr167Fk+9Onz7devLdsWPHdHV1tbW1Fy9eDJPvRIasrGxYWJiCgsLDhw/37t1LdhzQYdAEoBtJSUktWbIET74LDg4eOXIkvhi3pKQkICAAT77z8fHJysoiOynoqv79+x87dgwh9NtvvyUkJJAdB3QMNAHgBwkJiTlz5sTHxzMYjIiIiNaT70JCQgYPHtyzZ08PDw+YfCfU5s6d6+XlxWazvby8YAqFcIEmAHwlISHh6uqKJ9/dunXL0dFRXl4eIVRdXR0eHs6dfBcXF0d2UtBhFArl5MmT+vr6eXl5y5YtgwuvhQg0QRvEc9oEf0yaNOn27dsNDQ1fT74bPXq0goICfgHZMUEHKCsr4ykUly9f/ueff8iOA9oLmqANYj5tgj+4k+9SUlLc3d25k+/u3LkzefJkOTm58ePHX716FcYcCQUbG5udO3cihFatWpWdnU12HNAu0ARAgFhaWv7777/V1dUZGRmtJ989evTIzc2NSqXa2tqGhIRAJQi4TZs2OTg4NDY2whQKYQFN0AaYNkGKwYMHcyffLVq0SEtLCyHU0tKSkJDg4+MjKytraWl55swZmHwnmPAUCnV19fT09J9//pnsOKBt0ARtgGkT5DI0NDx79mxxcXFBQcHKlSt79+6NEGKxWKmpqUuXLsWT7/z9/WHynaDp1asXnkJx+PDhGzdukB0HtAGaAAgHXV3do0ePFhYWlpWVbdy4sfXku3Xr1lGp1EGDBv31118w+U5wTJ06dc2aNQih+fPnf/78mew44EcocNDjx0pLS/GhiStXrnh4eJAdB/xPTU3N33//HRoampOTw/0xplAoBgYG3t7eGzZswGeeAYmYTOaIESNevHhhb29/584duABPYME+ARBWysrKO3bsePfuXX19/V9//TVo0CA8+S4nJ2fnzp0qKir9+vXbuHFjWVkZ2UnFl6ysbGhoqLy8/IMHD/bv3092HPBd0ARA6MnLy//8889ZWVkMBsPf33/o0KHcyXcHDhzQ1NTs3bv3qlWrCgsLyU4qjgYOHHj06FGE0NatWxMTE8mOA74NmgCIDhkZmTVr1qSnpzOZzDNnzlhaWuIbAz9//nzs2DE9PT0tLa1Fixbl5OSQnVS8zJ8/f9asWWw229vbu6amhuw44BugCYAIkpKSWrx4cUpKCpPJDAkJsbW1xTcGlpaWnjt3zsjISF1dfc6cOZmZmWQnFQsUCuXUqVP9+vX78OEDTKEQTNAEbeCe48IHHIBwkZCQmD179tOnTxkMxtWrV8eNG0elUhFCFRUVFy9eNDU1VVFRcXd3f/bsGdlJRZyKisqlS5ckJSXDwsKCgoLIjgO+BO9ubcBvHAghGRkZcpOArpCQkHBxcXn48GFTU9Pt27cnTZqEJ9/V1NTQ6XQrK6sePXpMnz4dJt91n5EjR+7YsQMhtHLlyjdv3pAdB/wf0ARA7Dg6Ot66dauhoSE2NnbGjBk9evRACNXX19+4cWP06NHy8vKTJk26desW2TFF0ObNm8ePH9/Q0ODl5QW3agoUaAIgvuzs7KKiompra1NTUz08PFRUVBBCTU1Nd+7ccXJyolKp48aNo9PpMOaIVyQlJYODg9XU1NLS0rZs2UJ2HPA/0ARtaGhowH+AQVoibPjw4VeuXKmqqsrMzPTx8cGT75hM5uPHj93d3fHku+DgYKiEruvduzeeVn3o0KHo6Giy44D/QBMA8D8mJiYXLlwoLy/Pzc1dvHhx68l3vr6+MjIylpaWp0+fhsl3XTF9+vRVq1YhhObNm1dUVER2HIAQNAEA36Svr3/mzJni4uJPnz6tWrUKT75js9mpqanLli2TlZUdOnTooUOH4GB35+zbt2/o0KFlZWW+vr6wpyUIoAkA+JFevXodOXIET77btGlTv379EEIcDufVq1fr16+Xk5MbNGjQn3/+CZPvOoRKpYaFhcnJyd27d+/AgQNkxwHQBAC0j7q6+t69ez98+FBTU/P7778bGxvjMUfZ2dlbt25VVFQ0MjLatm0bPMm9nQYNGnTkyBGE0K+//pqcnEx2HHEHTQBAxygpKf3xxx9v376tr6/fs2dP68l3u3bt6tmzZ9++fTds2FBaWkp2UkG3cOFCDw8PFovl5eVVW1tLdhyxBk0AQCfJy8tv3rwZT747cuSImZkZviM9Pz//4MGDWlpavXv3XrFiBUy++x4KhXLmzJm+ffvm5ub6+fnBFAoSQRO0AaZNgDbJyMisWrXqxYsXDAYjICCg9eS7EydO4Ml3CxcuhMl3X+NOobh06VJwcDDZccQXvLu1AaZNgPaTkpJauHAhnnx38eJFW1tb/GNTWlp6/vx5IyMjNTW12bNnZ2RkkJ1UgNja2v7xxx8IoeXLl799+5bsOGIKmgAA3pOQkPD29saT76KiosaPH49/paisrLx06dKQIUPw5LuUlBSyk/LGnDlzqFTqF+/je/bsoVAo7XmI8ZYtW8aOHYunUMAjqclBgB+qr6/H36hr166RnQUIt7t3706ePBlPvuNSVFScOnXq48ePyU7XJSUlJT179hw/fjx3SW5urpycHI1Ga+caCgoKVFVVEUIbNmzonozgR6AJ2lBSUoL/xV65coXsLEBExMXFOTs748l3XHJychMmTIiOjiY7XSedOXMGIRQYGIj/OnnyZCUlpcLCwvavITIyEn8rYmJiuicj+C5ogjZAE4Du8/z585kzZ+LJd1yysrJjxoz5999/2Ww22QE7gMPhjBo1Sl1dvby8PDQ0FCF05MiRjq5kxYoVCCFNTc2ioqLuCAm+B5qgDdAEgA+ysrJ8fX3V1dVbV4K0tPSIESOCgoKEpRIyMjKkpaU9PDy0tbUtLS07EbuxsXHIkCEIIUdHR2H5qkUDNEEboAkAP3348GHJkiXa2tqtK0FSUnL48OEnTpxoaWkhO2Ab8KxpSUnJ1NTUzq0hMzNTTk4OIbR//37eZgM/ANcOASBA+vXrd/r06aKiok+fPq1evVpXVxchxGaznz9/vnz5cjz57uDBgwI7Ix3v1vTq1cvU1LRzazAxMfH390cIbdmyRWSurRICZFeRoIN9AkCu8vLyzZs348l3XBQKZcCAAbt27aqrqyM74P/k5+crKiriDti5c2en18PhcGg0GkLI0NCwtraWhwnB90ATtAGaAAiI1pPvWleCgYHBL7/8UlVVRXZAYsaMGYqKigUFBR4eHlQqNScnp9Orqqys1NPTQwj5+PjwMCH4HmiCNpSVleF/cv/++y/ZWQAgCIJobGzcu3eviYnJFxNQ9PT01q9fX1JSQkqqiIgIhNChQ4cIgvj06ZOSktLkyZO7ssLY2Fj8BV64cIE3EcH3QRO0Ae4sAwKLyWQeOXLE3NycOx0L09HR8fPzy8vL41uS2tpaXV3dYcOGsVgsvOTw4cNd35Pevn07QkhRUfHdu3e8iAm+C5qgDdAEQPCxWKxz585ZWVnhyXdcGhoa8+fPf/v2bXcHWL16tYSERHJycutIw4cP79WrV1cO9LNYrDFjxiCELC0tmUwmL5KCb4MmaAM0ARAibDY7NDR01KhRXwxMVFVV9fLyevnyZXds9NmzZ5KSkitXrvxieXJysoSExOrVq7uy8vz8/J49eyKENm7c2JX1gB+jEDAT/IdKS0vxY82vXLni4eFBdhwA2uvatWuHDx+Oj49vfcmpkpKSg4PDzz//bG1tTWK2Drl69aqbmxtC6Pbt246OjmTHEU1wPwEAomnGjBn3799vamq6d++ek5OTgoICQqi2tvbq1as2NjZ48t2jR4/Ijtk2V1dXPz8/hJCvry/3Wj7AW9AEAIg4BweH6Ojo+vr6p0+fOjs7KykpIYQaGhqio6PHjx8vLy8/ceLE6OhosmP+yN9//z148OCSkpJ58+ZxOByy44ggaAIAxIWtrW1kZGRNTU1aWtqsWbPw8Xe80zB16lQqlYon3wngW62cnFxYWBiVSr116xa+AxnwFjQBAGLH3Nw8LCyssrLy9evX3Ml3TCYzNjZ25syZVCoVT74TqEowNTU9dOgQQujnn39OTU0lO46ogSYAQHwNHDgwKCiorKzs48ePS5cuxZPvWlpakpKS5s2bJyMjgyffsViswsLChw8fFhYWkph26dKlrq6uLS0tnp6edXV1JCYRPXDtUBvg2iEgVoqKivbu3Uun07/3ph8QELBw4UI+p+KqrKw0MzMrLCycO3duYGAgWTFED+wTtIF7Q3/rYS8AiCodHR1/f/+CgoLHjx+PGDFCVlb2ixcsXrw4ODiYrKcNq6qqXrx4UUJCIigo6OLFi6RkEEnQBG3Ao9IRQl//kwBAlFRWVp44cWL69Ol6enpSUlJjx45NTExkMplfvIwgCF9fX01NTV9f36ioqKamJj7nHDNmzLZt2xBCfn5+OTk5fN66qIKjQ21oaGhQVFRECF27dm369OlkxwGAZ1gs1t27dyMiIhISEnJzc79+T6dSqX379jU1NaXT6dyFFApFXV2dO5lRQUFh6tSp7u7uTk5O+F8Kf5KPHz8+Li7OysoqLi7uixuqQWeQe4uz4INpE0CUZGdn//7776NHj1ZTU/v6gKeEhISOjs6kSZP+/vvvT58+cT+Lu0MsKSkZEBDAYrFiY2PXrFmDB0djVCrVxcUlODi4urqaD19IXl4efv7z5s2b+bA5kQdN0IbS0lL8gw5TqYEwqqmpCQgIcHNz69u37xfz6TAlJSULC4t169bFx8d/89HBycnJ+JUBAQEFBQWtP8ThcJKSkjZt2mRoaMhdobS0tJOT07lz58rLy7v1SwsPD8dbvHPnTrduSBxAE7QBnlQDhAubzb5///7y5cs1Nc0kJBS+fuuXkZExNDT09PQMCQlpaGhoc4X48WFKSko/eA2Hw3nx4sXWrVsHDRrE3ZCkpKSDg8OJEyeKiop49/X9H0uXLkUIaWtrk/VUBpEB5wnaAFeRAsGXl5d36dKle/fuZWRklJWVffGPmkKhaGhomJqaTpgwwdvbu2/fvh1auYqKSk1NjbOzc2RkZHte//r1azqdTqfTX7x4wQ1gZ2dHo9Hc3NxaH1DqusbGRisrq6ysLCcnpxs3bnzx6B7QAWRXkaCDfQIggBoaGkJCQjw9PQ0NDb95vlRBQUFLywyh5WPHPvzmMZ92+vDhA15hbGxsRz/3/fv3e/fu/WLoqbW19d69e9+/f9/pSF94+fIlPo2BH5cGOgeaoA3QBEAQsNns+Pj4devWWVhY9OjR4+u3fikpqb59+9JotPPnz9fU1BAEER9PIEQoKxNdecTL2bNnEULGxsZdCZ+fn+/v7z969OjW56jNzc137tyZlZXVlTVjx48fRwhJS0unpqZ2fW3iCZqgDdAEgCyfPn36+++/HR0dtbW1vz7uQaFQ1NTURo8e/ccff2RnZ3/96SwWoa1NIERERXU+w5IlSxBCf/75Z+dX0UpRUdGJEyccHBxaP25z0KBBW7duffHiBYfD6dxqORyOs7MzQqh///51dXU8iSpuoAnaAE0A+IbJZIaHh/v4+PTv3/+bdzLKycmZmpouXrw4Ojq6paWlzRWuX08gREyf3sk8bDabw+FkZWXx/JRvWVnZuXPnpkyZIi0tzf3qDA0NN23alJSU1IlKKC8v7927N0Jo/vz5vI0qJqAJ2gBXkYJulZqaumnTJhsbG3x1/BckJSX19PRmzJhx4sSJioqKjq789WsCIYJCITr3JOOQkJD+/fsfOXKkM5/cPlVVVcHBwS4uLlQqlftV6+nprVmzJjY2tkNnOB49eoSPPl26dKn7AosqaII2wJ1lgLfKysqOHj06derU3r17tz5IwtWzZ8+RI0du2bIlPT2965ubOpVAiPD17cznurq6IoS2bt3a9Rhtqquru3LlysyZM/Gz1TBtbW0/P7979+61ZweIIAg8hUJJSSknJ6e7A4sYaII2QBOALmppabl+/frChQtNTEy4Y6xao1KpAwcOnDt3bkREBLMrp3e/JTn5v92CtLSOfSL3uOiTJ094G+nHGhsbIyMjfXx8lJWVud8iNTW1BQsWREdH//j709LSYmtrixCysbFpbm7mW2YRAE3QBmgC0AlZWVnbtm2zs7NTVVX9+q0fD3WYPHnyoUOHuu+uK65ZswiEiBEjCBarA5+1ceNGhJCUlFRXLkLtCiaTGRMTs3DhQjU1Ne63TllZec6cOVevXm1sbPzmZ338+BFXyJYtW/gcWKhBE7QBzhOA9qipqTl79qyrq+sPhjpYWlquX78+MTGRz++thYVEjx4EQsSePR34rH79+iGELCwsui1Xe7W0tOC7pvGDdDAFBYWZM2devnz564uFrly5ghCiUCj37t0jJbAwgiZoA1w7BL6JzWbfu3fPz89v6NChrQ9tc8nIyBgZGXl5eYWFhTU1NZGb9tw5AiFCSopo5/1hNTU1+Ks4depUN0frADabHRcXt3bt2j59+rQ+tubs7HzhwoWqqiruKxcvXowQ0tHRKS0tJS+vMIEmaAM0AeDKzc3dtWvX+PHjNTQ0vh7kSaFQNDU1HRwc9u7dm5eXR3bY/4PDITw9CYQIDQ2iPSdTt2/fjo9itfNULZ9xOJzk5OTNmzcbGRlxv/948l1AQEBZWVlDQwOegDR16tRO36YgVqAJ2gBNIM4aGhqCg4M9PDwMDAxaX/nOpaioaG5uvmrVqsePH5N1PL2d6uuJYcMIhAgDA+L/ThT9BnzVkCAcGvoxDoeTnp6+bds2ExMT7n8USUlJe3v7LVu24Dkchw8fJjumEIAJdG2ACXRihcPhJCQkXLlyJS4u7t27d18/Nl1aWrp3796WlpbTpk2j0Wh8ezYLTxQVITs7lJuLDAzQnTuo1STp/4PFYuno6JSXl9+/f9/e3p6/GTsvOzsbT75LS0vDSygUCkEQFAolODh49uzZ5MYTcNAEbYAmEHmFhYWHDx+OjIwsKyurq6vjcDitP0qhUFRVVU1NTe3t7b28vIyNjcnKyRN5ecjeHuXmIg0NFB6Oxoz5xmsaGxuPHDly//79mJiYb579FnC5ubm4EpKSkrgL8/LyWp9dAF+AJmgDNIHoqa+vP3HiBJ1Oz87Orq+v/+KtHyEkLy9vaGhoa2vr6uo6ceJEEZt1XFSEpk1Dz58jSUm0fTvavBl98W4fFRWlra1tZWUl7F94QkLC+PHjmUympqbmp0+fhLHV+Ifcg1OCD64iFQ0pKSlubm46OjrfvK0XL5SWlu7cUAeh09BAzJ5NIEQgRFhaEsnJ//sQm83GA3yio6PJC8gD3LvMrKysGAwG2XEEHTRBG+DOMiGVm5u7evXqwYMHf2+og5SUVO/evd3d3dPS0pqbm/Hcm28O9RRJHA4RFESoqPzXB7NmERkZBEEQoaGhCKEePXqQfuVrF3EnT+Tm5pKdRQhAE7QBmkBYMJnMo0ePDh7sKCPTF6FvvPVLS0urqKiMGjXqyJEjX9+hamdnhxAKDAwkJTxZiooIH5//ygAhYuJEwtBwC0Jyffr0ITtalzx8+BBf5hsWFkZ2FuEAB86AEHvy5MmtW7eePHny+vXrysrKr19ApVJtbGxcXV1nzZrV+g7Vr9nY2MTFxSUlJc2dO7fb8gocbW104QLasAHt3IkiItDduwih3Qj9OmLEObKjdV5FRcWcOXMIgliwYMGsWbPIjiMkyK4iQVdWVoa/UXCeQBAUFRVt2rTJ1NRUXl7+mz/PEhKyCFkrKq66efNmh9aMRxQMHz68m5ILvtxcwtU1E6EchBrfvy8mO04ncZ9aM2DAgPr6+vZ/4j///IMQSklJ6b5sggz2CdrAvbCEgIusyMDhcO7fvx8REXHr1q38/Pyvr/ORkpLS19e3trZ2cnJydnaur1fU0UENDcjOrmMbsrGxQQi9fPmyqanpmxNDAwMD58+fn5KSYmlp2dmvRqDp66OKCj+EnqirWxsaJrX9CQLp5MmTUVFRMjIyoaGh35wCAr4JmgAInGfPnh05cuTJkyefP39uaWn5+gUyMjJ9+vQZP3786tWrTU1NW39IURH17Yvy8lBKCnJw6MBG9fT0tLW1i4uLnz9/PmrUqC5+CUIqNTUVIeTqakZ2kE569erV+vXrEUL79u0bNmwY2XGECTQBIF99ff2FCxfOnj377t27hoaGr1+gqKhoaGioo6OzYMECNze3b14LxGVjg/LyUFJSx5qAQqGMGDEiMjIyMTFRPJvg7du3DQ0NkpKSv/76K9lZOqOxsdHT05PJZE6dOnX16tVkxxEy0ASABGw2m06nnz9//v379yUlJdwLtFpTVFQ0NjZ2d3dfvXp1h4Y62NigK1dQUscPb9jY2ERGRiZ14jNFwtOnTxFCDg4Offv2JTtLZ6xfvz4rK0tbW/uff/75ej4g+DFoAsAnGRkZhw8ffvjwYUFBQXNz8xcfpVAoMjIy2traY8eOXb16tYWFRac3ZGODEEJJSYggUIfeEPCpArFtgnnz5k2cOLG6uprsIJ1Bp9NPnz5NoVBCQkI0NDTIjiN8oAlAd8HHfJ4+fZqSkpKXl/f1u7+EhIS6urqbm5ubm5uDgwOvZhsMH46kpFBJCcrPRx367dbS0pJCoeTn5xcXF//4klNSfKr9tPne5pj3MY0tjUaqRv84/2PZyxIhRBDE749+P/v8bDWjepTeqJNTTxqr/TccKaEgwe+mXzWjetuYbQuHL/zByvPz80eOHEmj0Q4fPsyPL4an8vPzFy1ahBDavHmzQ4eOCYL/D5oA8NKNGzfOnj2bnJxcVlbGZrO/foG8vLyBgcGUKVPWrVvXTe+2cnLIzAylpqLExI41QY8ePQYPHpyRkZGUlISvRBQcVU1Vo86PGq8/PmZ2jIa8xrvKdz2pPfGH9j3ddyTpSJBLkH5P/W0Pt00KmZS1IosqRUUILby2cOf4nTo9dHyv+joaOuop631v/REREZ8/f05PTxe64yosFmv27NnV1dXW1tY7duwgO46wgiZoA/dCNDyNAHyhtLQ0NDT09u3bT548+ebJ3p49e5qYmIwfP97V1XX48OH8SWVjg1JTUVIS6uh9RSNGjMjIyEhMTBS0Jtj7dK+est4/zv/gv+r31Md/IAjCP8l/65itzgOdEUIXXC5oHdCKzI70NPVECDW0NAzXGa6poNlTrmdd85cTtlvDj6YZOXJk934Z3WDXrl1xcXE9evQIDQ395jMkQHtAE4COaW5uPn369OXLlzMzM2tqar6+zYJCoSgrK5uamnp6ei5evBg/LYTPbGzQiROdPGkcEBAggKcKrr25Nslwkse/Ho8/Pu6t1Hu55fLFFosRQh+qPxTXF08wmIBfpkxVttG1SShIwE3w25jfBh0fxOKw/Cz9TDRMvrfyjIwMfHpA0PqvTU+ePNm5cydC6PTp0wYGBmTHEWLQBKBtGRkZBw4cuHfvXklJCYvF+uKjkpKS2tra+vr6FhYWa9as0dfXJyVka/ik8fPnqKUFdejXRHzSOCUlhc1m//haVT7Lrco9+ezk+pHrf7H7JeVzyupbq2UkZeaazy2uL0YIaSlocV+ppaBV3FCM/7xw+EJPU89mdnNPuZ4/WPmePXsQQgoKCsK1T1BZWTl79mwOhzNv3jwvLy+y4wg3aII2NDU14T8wmUxyk/DTp0+fDh8+HBMTU1lZWVJS8vURf0lJSU1NTRsbm3Xr1o355uNOSGVsjFRUUHU1evkSdegqJBMTE0VFxfr6+tevX39xzxq5OATHspflbofdCKFhOsMySjNOpZ6aa972iCQFGQUF1Mattrdu3UII2XX0tmxSEQSxaNGiwsJCY2Pjo0ePkh1H6EETtEFMpk2wWKzAwMCQkJBXr15VV1d/PdRBWlpaTk5u0KBBHh4eS5cuFfCnNkpIIGtrdOcOSkzsWBNISEiamFgmJz+6eDHpr7++0QTnz5/H75tca9as6dGjRxcDt0mnh07rwzuD1AfRX9MRQtqK2gihkoYSnR46+EMlDSXmWubtX/OHDx8qKioQQuvWreNh4O52+vTpq1evSktLh4WFCfhPo1CAJhBfycnJERERCQkJmZmZ+L3gC7KyskOGDPH09Jw1a5auri7/E3bFiBHozh2UlIRWrGjjlRUVKCnpv/8lJ6OqKhuEHl29mvjXX9+47PLkyZNfLJk3bx4fmmCU3qg3FW+4f31b8bavcl+EkL6Kvrai9v3c++ba5gihWmZtUmGSn6Vf+9d88+ZNhJCiouKkSZN4HLrbZGRk4N7au3cvry5DmDdv3rx583iyKqFE5vg7YVBSUoK/UVeuXCE7S1dVVFRs3brVzMzse5O58DGfKVOmhIeHs1gssvN2yc2bBEJE//7f+BCTSSQlEUeOELNnE0ZG/5vOj/8nLX0VIaSjM4TvkX8kuTBZaofUn0/+fFfx7uLLi/J/yoekh+AP7Yndo7JHJSo76mXxS+dQZ31//aaWDjxkBp8l/u2337onOO81NjYOHjwYIeTk5MRms8mOIyJgn0CUcTicJ0+e0On0Bw8eZGdnf33MR0JCol+/flZWVlOnTp0xY4aysjIpObuDtTVCCL19i6qqkIoK+vDhf7/4P3+OvrjLrX9/NGIEsrFBNjZIQ8Omb19UUpJZX18vOIcdrHpbXZ11dcv9LTse79Dvqe8/yX/20Nn4Q5tGbWpoaVhyfUk1o9quj92tObfwzQTtNH369Pr6ejc3t+4JznsbNmzIzMzU0tIKDAwU9ictCxCyq0jQCd0+wcuXLxcsWGBgYPC9yzdlZGT69es3d+7c58+fkx22e/XuTSBEWFsTGhpf/uKvqko4ORHbtxO3bhGVlV9+op6eHkLo4cOHJITmr2fPnt25c6e5uZnsIO0VERGBf4zv3LlDdhaRAvsEQo/BYERERPj7+2dnZ9fVfePuIQUFBUNDQ11dXU9PT29vb4G6OLJb4etHk5P/+7O5ObKx+e93f0PDH40ksrGxKSgoSEpKGjduHH+ikuXAgQNhYWFbtmzZvXs32VnaVlBQsHDhQoTQpk2bJk6cSHYckQJNIHzYbPbNmzfPnj376tWrqqqq2trar18jLy9vaGg4bdq0TZs2qaio8D2jQJg8GUVHowkT0OLFyNwctf8mcRsbm/Dw8MTExO5MR76ampqrV68ihGbMmEF2lrax2ezZs2dXVVVZWVnhu8kAD0ETtEFApk3k5OQcOnTo7t27eXl537yzQU5OTl1dfdSoUStXrhTP8fpf++oyn/YaMWIEQigpKYkgCKGbw9N+hw4dYjKZkpKSVlZWZGdp259//hkbG4unSpBy47pogyYQUE1NTQEBAampqYmJiXl5eQwG44sXUCgUFRWV6dOnz5o1y9HRUUoK/lPyzPDhwyUlJYuKigoLC/E5A5F06dIlhJCJiYngHzCMi4vDk5FOnjxpaGhIdhwRBG8fAuT+/fsnTpxITEwsLS39eqgDQohKperr60+ePHnt2rV9+vThf0IxIS8vP3To0LS0tKSkJFFtAgaD8f79e4SQ4F9EX1VV5e3tzeFwfH19Z8+eTXYc0QRN0AbuL+Nfj9fvusrKyrCwsJiYmKdPn1ZVVX39AkVFRVNT03HjxtFoNFF9kLpgsrGxwU3g7u5OdpZucfz4cXzsa/ny5WRn+RGCIBYvXlxQUGBkZHTs2DGy44gsaII2cEfufH0xfic0NzcHBQVxhzoQ3xrk2aNHDxMTEw8PDz8/Pzk5ua5vFHSCjY3NqVOnRPikcWhoKELI2NhYwMetnz17lk6n46kSfLiXW2xBE3S7N2/eHD9+PDIysri4uKWl5YuPSkhIaGlpDRw4cMCAAWvXrh0wYAApIcEX8Enj1NTUlpYW0Zt6z+FwPn36hBDasGED2Vl+JDMzc82aNQihv/76qysPNAVtgibgvbKyMn9//xs3bpSWlpaXl39zjLO6urqFhYWfn9+UKVPgPkkB1L9/f2Vl5ZqamoyMjGHDhpEdh8eys7PLysqUlJTmzm17milZmpqavLy8GAzGpEmThGs6njCCJuABNpsdGhoaFBT04sWLysrKr48jycjIyMrK9u/f38XFZdWqVaI01EFUSUhIWFtb3717NykpSfSaYNCgQaWlpRkZGbKysmRn+a6NGze+evVKU1MzKCgIflvqbtAEnfTy5cvg4ODnz59nZGSUlZV9fcRfRkbG0NDQx8fH29u7b4cepwsEg42NDW6CZcuWkZ2FlwiCsLCwGDx48N69e8nO8l1RUVHHjx9HCF24cEFLS6vN14MugiZor/r6+l27dkVGRr59+/abQx0kJCRUVVWHDRs2b968WbNmCf412uDH8PPLRO+kcVpaWlpaWnZ29qlTp8jO8m2FhYULFixACP30009CNCtbqFG+/mUWtFZcXKyjo/O9j/bt29fCwmLatGmurq5iO9RBVJWVlWlqaiKEqqqqROk/7ujRo+Pi4kaMGJGQkEB2lm9gs9kODg6PHz+2sLCIj4+H24n5A/YJ2vDFhWvS0tLa2tqjR49euXKlcD30FXSUhoaGgYFBbm5uSkqKKM07S0lJQQgJ7MmPv/766/Hjx4qKijBVgp/gPEx7rVixgslkNjc35+fnX7x4EWpAHOADRElJSWQH4Zno6Gg8t2rz5s1kZ/mGp0+f/vHHHwihEydOGBsbkx1HjEATtNekSZPgNxRxI3pN4O/vjxBSV1cXwKsYqqurvb292Wz2nDlzfHx8yI4jXqAJAPgubhOIzOm0p0+fIoScnJzIDvIlgiCWLFmSn59vaGiIrxoC/ARNAMB3DRs2TEZGpqys7MOHD2Rn4YEPHz40NjYigTw0dO7cuX///VdKSio0NFRJSYnsOGIHmgCA75KVlTU3N0eicoAoMjISITR27Fj8RHjB8fr169WrVyOEdu/eLRQPSxA9YtoEgYGBlK/8/PPPZOcCAkeUThUMHjzYxcXF29ub7CD/B4PB8PT0bGpqmjhxooDPQRJhYn0V6Y4dO/T19bl/NTU1JTEMEEw2NjZHjx4VgSYoKyurq6sLCQnhPoZPQGzatOnly5caGhoXLlyAqRJkEesmcHJygqH/4MfwPkFaWhqTyRTkKT1totPpfn5+o0ePfvLkCdlZ/uf69etHjx5FCAUFBWlra5MdR3xBAwPwI4aGhmpqakwmMz09newsXXLixAmE0LRp08gO8j+fPn2aP38+Qmj9+vUCeDmTWBHrJqipqSlvhew4QBBRKBQROFWQk5Pz6tUr9P93cQQBm8328fGpqKgYPnz47t27yY4j7sS6CSZMmKDRCtlxgIASgSbYs2cPQohKpY4dO5bsLP/Zu3fvw4cPFRQUQkNDhfqwm2gQ6/MEx48f79+/P9kpgKATgSa4fv06+v8PYhMECQkJv/32G4J/gwJDrJvA2toazhiDNllbWyOE3r9/X1FRoaamRnacDvv8+XNJSQlCaOXKlWRnQQih6upqLy8vNpvt7e3t6+tLdhyAkJgfHQKgPXr27Il/bxXS3QJ8cY60tLSrqyvZWRBBEMuWLcvLy9PX1z958iSFQiE7EUAImgCA9sDHVYS0CXJzcxFCHh4egnC1/j///HP58mWYKiFoyP/JAEDwCe+pAjab/ejRI4TQmjVryM6CsrOzV61ahRDatWuX4FzFBJCYnycAoJ3w21ZycjJBEMJ1QENSUvLDhw/37t0jfZ4PnirR2Ng4YcKEjRs3khsGfAH2CQBo29ChQ6lUalVV1bt378jO0jF+fn5eXl5aWlqkF9jPP/+cnp6urq4OUyUEkJj+95g3bx5BEHDhEGgnaWnp4cOHI2F7wH1zc/Ply5evXbvGYDDITXLjxo3Dhw8jhIKCgn7wYHBAFjFtAgA6ShhPGvv7+1dVVSkqKtrZ2ZEY4/Pnz3iqxNq1a6dMmUJiEvA90AQAtIswnjQOCgpCCOnq6kpKSpKVAU+VKC8vNzc3x7c6AwEETQBAu+AmSE9Pb2pqIjtLu7S0tGRnZyOEZs+eTWKM/fv3P3jwQF5ePiwsDKZKCCxoAgDapU+fPlpaWiwWKy0tjews7RIQEMDhcBBCa9euJStDYmLi1q1bEULHjh0bMGAAWTFAm6AJAGgX7lBSYTlpHBAQgBDS19dXVFQkJUBNTY23tzebzfb09Jw3bx4pGUA7QRMA0F5CdNKYIIi8vDyE0KxZs8gKsGzZsg8fPvTr1+/UqVOkX8MKfgyaAID2EqKTxmlpaRUVFfLy8tu2bSMlQFBQUFhYmKSkZGhoqLKyMikZQPvBPcYAtJelpSWFQsnLyyspKdHS0iI7zo9QqVRfX19paWl5eXn+b/3Nmzd47unOnTsFZxQ2+AHYJwCgvZSUlExMTJAw7BZkZGQcPHgQnyrgMyaT6eXl1dDQYG9vv2nTJv4HAJ0ATQBABwjFSeOsrKxZs2b16dOHlAtet2zZkpaWpqamFhwcTOJ9DKBDoAkA6AChOFXw999/I4TGjRsnJyfH501HR0cfOnQIIRQYGNirVy8+bx10GjQBAB2Aj3qnpKSw2Wyys3xXaGgoQqh379583m5RURG+WnT16tXTpk3j89ZBV0ATANABgwcPVlBQqKurw7fvCqBHjx7hg0IbNmzg53Y5HI6vr29ZWZmZmdnevXv5uWnQddAEAHSApKQkHmErsAeI8KEhFRUVPt/Te+DAgXv37uGpElQqlZ+bBl0HTQBAxwj4SePHjx8jhCZOnMjPjSYnJ//6668IoSNHjgwcOJCfmwY8AU0AQMcI8knjjIyMuro6hBA/L9+sra318vJisVgeHh4LFizg23YBD0ETANAx+KRxRkZGfX092Vm+9OTJE4SQsbEx357CRBCEn59fbm5u3759z5w5A1MlhBQ0AQAd06tXL11dXQ6Hk5qaSnaWL925cwchtGTJEr5tMTg4+NKlS5KSkpcuXVJRUeHbdgFvQRMA0GECe4AoPDz83r173t7e/Nnc27dvly9fjhD6448/bG1t+bNR0B2gCQDoMME8aRwcHOzo6FhZWcmfW7qam5vxVImxY8du2bKFD1sE3QeaAIAOE8x9gitXrjx8+JBvNzr88ssvz58/V1VVDQkJgakSwg6aAIAOs7CwkJSU/Pz5c2FhIdlZ/lNYWHjz5k2EEH9u7r116xa+ceH8+fO6urp82CLoVtAEAHSYgoLCkCFDkCDtFuzbt48gCBkZGTMzs+7eVnFx8dy5cxFCK1ascHZ27u7NAT6AJgCgMwTtANHVq1cRQhYWFhIS3fuPmsPhzJ07t7S0dMiQIfv37+/WbQG+gSYAoDME6qRxZWUlPk61bNmy7t7WwYMH79y5IycnFxYWxv9Zp6CbQBMA0Bm4CVJTU1ksFtlZEP7dXFJScs6cOd26oZSUFHyZkL+/P35oDxAN0AQAdMbAgQOVlJQaGxszMjLIzoLwPW7m5ubdemiorq4OT5Wg0WiLFy/uvg0B/oMmAKAzJCQkrK2tkQCcKmhubk5JSUEI4UfEdJ8VK1bk5OTo6emdPXsWpkqIGGgCADpJQE4aNzQ0zJkzZ/jw4d16l29wcHBwcLCEhMSlS5d69uzZfRsCpJAiOwAAwkpAThqnpaVt2rRJT0+v+zbx/v17PFXi999/t7Oz674NAbLAPgEAnYSbIDs7u6amhqwMbDbby8urT58+8fHx3bQJPFWivr5+zJgx+CEEQPRAEwDQSZqamv369SMIAh+mJ8Xly5dLS0tVVFS6bwz11q1bnz171rNnT5gqIcKgCQDoPPysAhJPFeDrRzU1NWVkZLpj/Xfu3MGbOHfuXLcegALkgiYAoPPIPWnM4XBevXqFEKLRaN2x/pKSEl9fX4SQn5+fq6trd2wCCAhoAgA6j3vSmCAI/m89JCSEzWYjhH766Seer5zD4cybN6+kpGTw4MF42BwQYdAEAHTesGHDpKWly8rKPn78yP+tnzp1CiGkq6urqqrK85X7+/vfunWLSqXCVAlxAE0AQOdRqVQ8+5P/B4gIgsC3Fru5ufF85ampqT///DNC6NChQ6ampjxfPxA00AQAdAlZJ42zsrKam5slJSU3b97M2zXX1dV5enq2tLS4urouXbqUtysHggmaAIAuIeukcUxMDELIycmJ58+qXLVq1fv373V1dQMCAmCqhJiAe4wB6BLcBM+fP29ubu6mSzm/acOGDWPHjuX5O/XFixeDgoIkJCQuXrzYHacfgGCCfQIAusTIyEhVVZXJZKanp/Ntozk5OVZWVo8ePeLtDWU5OTl+fn4IoW3bto0ZM4aHawYCDpoAgC6hUCj8H0oaERGRmpp6+/ZtHq4TT5Woq6uzs7PbunUrD9cMBB80AQBdxf+Txrt370YIjRs3jofr/O2331JSUlRUVC5evCglBceNxQs0AQBdxeeTxikpKdXV1QihadOm8Wqdd+/e3bt3L0IoICCgT58+vFotEBbQBAB0FT469O7du4qKCj5sbt++fQihHj16mJub82SFpaWleKrE0qVLu2lwBRBw0AQAdJWqqqqxsTFCKDk5mQ+bu3fvHkJo/PjxPFkbnipRXFxsYmJy8OBBnqwTCB1oAgB4gG8HiF6/fo0PDW3YsIEnKzxy5EhMTIysrGxYWJi8vDxP1gmEDjRBe9XX15MdAQguvp00joqKQggpKiry5CrP58+fb9q0CSF08ODBIUOGdH2FQEhBE7SXt7f3yJEjDxw48OHDB7KzAIGD9wmSk5O7eyhpbGwsQognEybq6+u9vLxaWlqcnZ3xbQRAbEETdEBiYuLGjRsNDAyGDx++e/fuN2/ekJ0ICIqhQ4fKyspWVla+f/++WzdkbW3dv39/npzXXb169du3b3v37n3u3DmYKiHmKKTMVRciBEE0NjYihGpqaiIjI+l0+qNHjzgcDv7o4MGDaTQajUYbMmQI/FsSc7a2tgkJCRcuXPDx8emmTbx69UpSUnLgwIESEl39HS40NNTb25tCoTx8+HDs2LE8iQeEGAE6qLS09OzZs5MnT5aWluZ+G42MjH7++eeUlBQOh0N2QECOtWvXIoRWrFjRfZvAuwIHDhzo4npycnKUlJQQQtu2beNJMCDsYJ+g86qrq69fv06n02/dusVkMvHCvn37urm5ubu7jxgxouu/uAEhEhYW5uXlZWlp2U0PuC8vL9fV1WUymc+fPx82bFin19PS0jJ69OikpCRbW9vHjx/D7cQAwdEhnqirq4uOjqbT6dHR0Q0NDXhhr169XF1daTTa6NGj4R+bOPj48aO+vr60tHRtbS2VSuX5+jdv3rxv3z5paWkmk9mVQ5G//PLLX3/9paysnJ6e3rdvXx4mBEKM7J0SPrl8+TJCKCIiovXCoUOHIoQePHjQeqGent7IkSM7t5XGxsarV6/OmTMH73pj6urqixYtwvsNnf8CgMDjcDiampoIofj4+O5Yf79+/RBCFhYWXVnJvXv3cItcuXKFV8GACBCXwxd2dnYIobi4OO6S2trajIwMKSmpp0+fchcWFBQUFBTgF3eCnJyci4tLcHBwaWnpzZs3FyxYoKqqWl5eHhAQMHnyZC0trblz5167do3BYHTxywECiEKhcB9wz/OV19fX40clL168uNMrKSsr8/HxIQhi8eLFHh4ePAsHhJ+4NEGvXr309fVbN0FCQgJBEB4eHq0X4j93ugm4ZGVlp0yZcu7cuZKSknv37i1btkxLS6u6uvrChQvOzs4aGhqenp7h4eHcQ0lANHTfncb+/v4IIQkJiYULF3ZuDQRBzJ8/v6ioaNCgQXhtAPwPyfskfOTj4yMtLd3Y2Ij/um3bNlNT0wsXLigrK7PZbLxwxYoVFAqlvLyc51tnsVhPnjxZs2aNrq4u95svJyfn6uoaEhJSXV3N8y0C/rt79y5CqF+/fjxf86BBgxBCgwcP7vQaDh8+jBCSlZV98eIFD4MB0SBGTXD69GmE0MOHD/Ff7e3tlyxZgu8DSk9PxwvNzc0HDRrUrTE4HE5SUhK+Q41bCTIyMlOmTDl//nx3lBDgm+rqanwUvqSkhIerZbFYampqCKEzZ850bg1paWn4yZpHjx7lYTAgMsSoCTIzMxFCO3fuJAiipaVFQUEhKCiIIAgtLa3jx48TBFFbWyspKbl48WL+5OFwOGlpaVu3bsW/7mGSkpITJkw4efJkcXExf2IA3jIxMUEIXbt2jYfrjI+PRwipqqo2Nzd34tPr6+sHDBiAEJo+fTrc7wK+SVzOEyCEBg0apKamhs8EpKenNzQ02NraIoRsbW3xSeOEhAQ2m931kwTtRKFQzM3Nd+7cmZWVlZmZuWPHDjMzMzabfe/ePT8/Px0dnTFjxhw5cqSwsJA/eQBPdMdJ45EjR75+/TowMLD1zYztt2bNmjdv3vTq1ev8+fNwJzz4JjFqAgqFYmtrm5iYyOFwnj59qqmpaWRkhFo1Af5/vjVBayYmJtu2bXvx4sW7d+/27t1rbW1NEERsbOyaNWv09PRGjBixf//+3Nxc/gcDHcXzk8YcDmf8+PGBgYGd+8m8fPkyHisUEhKirq7Oq1RA1JC9U8JX+Pl8L168mDlzpouLC16IC6CwsNDe3r5Xr17kJuTKy8s7dOiQnZ1d61/ihg0btmvXrtevX5OdDnxXWloaQkhJSYl7GUIX4VJRVFRsamrq6Ofm5ubiW1t+/fVXnoQBokq8mgC/6R87dqx379779+/HCxkMhqysbEhIiIKCgoeHB7kJv/b58+fjx4/b29tLSkpyKwHvQ6Snp8NhX0HT0tKCn/eSmZnJkxWOGjUKIeTg4NDRT2xubsZPTRg5cmTnTjAA8SFeTcBkMqlU6siRIxFCT58+5S4fOXIkXnj48GES4/1YWVlZQECAk5PTF5PvNm/enJycDJUgOPAzZM6fP9/1VbHZbPyfe+3atR393F9//RXvnXz48KHrSYBoE68mIAhi9OjRCCFZWVkGg8FdyH0QYGpqKonZ2qmqqgrfodZ6uE2fPn3Wrl0bFxfHq4MSoNM2btyIEFqyZEnXVxUeHo7/+xYVFXXoEx88eICPK4aFhXU9BhB5YtcEW7ZsQQjZ2tq2XhgREYEQ6tGjB4vFIitYJ9TV1V2+fHnmzJkKCgrcStDR0Vm+fPn9+/dbWlrIDiim8Nu3mZlZ11eFnxygra3doc8qKyvr1asXQmjhwoVdzwDEAcwiFQVNTU23b9+m0+nXr1+vqanBC9XV1Z2dnd3d3e3t7fFdRYA/CgsL9fT0JCQkamtrW5d0J8jJyTEYjMWLF585c6adn0IQhLOz8/Xr1wcMGJCamtrFAEBMQBOIlObm5vv379Pp9MjIyIqKCrxQWVl5xowZNBrN0dFRTk6O3IRiQldX99OnT48fP+7Kc+czMzNNTU0RQjk5Oa3vSP+xY8eOrVq1SkZGJikpydzcvNNbB2JFjO4nEAcyMjJOTk4BAQHFxcX4DjVtbe2amprg4GAXFxcNDY1Zs2b9+++/9fX1ZCcVcTy5q+DGjRsIoQkTJrS/BtLT03/66SeE0P79+6EGQPtBE4gmKSkpBweHEydOFBYWxsbGrl27Vk9Pr6Gh4cqVKzNnztTQ0MCT77iHkgBv8eROY11dXSsrK3d393a+vqGhwdPTk8lkTp06ddWqVV3ZNBA3cHRIXBAEkZKSQqfT6XR6Tk4OXigtLT1x4kQajebs7IxnnAGeePz48bhx43r37t3pYSFlZWU5OTnW1tYUCqWdIyKWLFly9uxZHR2d9PR0DQ2Nzm0XiCdoArFDEMTLly/Dw8PpdPrr16/xQklJyXHjxtFoNFdXV21tbXITioD6+nplZWUOh1NYWNi7d+9OrOHIkSNr1qxxdXXFF7a16d9//505cyaFQrl7966Dg0MntgjEGonXLQHSZWVl7dy5s/UBZQqFMnr0aH9///z8fLLTCTczMzOEEJ1O79ynDxkyBCF06NCh9rz448ePysrKCKEtW7Z0bnNAzEETAIIgiPfv3+PJd61/S7C2tt67d+/79+/JTieUlixZghDatGlTJz731atX+D9Be251bGlpwVN1bWxsYKoE6BxoAvB/5Ofn+/v7jx49uvWxae70bLLTCZNz584hhMaMGdOJz/Xx8UEIycvLt+fF27ZtQwgpKSnl5uZ2YlsAEHBnGfie4uLiq1ev0un0R48esdlsvHDQoEE0Gs3d3X3o0KEw6f7H8N0A8vLyNTU1UlJSHfpcdXX1iooKR0fH27dv//iVjx49sre3Jwji0qVLXl5eXcgLxBo0AWhDeXn5tWvX6HT63bt3W1pa8EJDQ0MajUaj0aysrKASvonNZvfs2bOuru7Fixf4nEE75eXl9evXDyEUHR3t5OT0g1dWVFSYmZl9+vRp/vz558+f72JgINZI3icBwqOqqgrfodZ68p2ent6aNWtiY2Nh8t3X7O3tEUKnT5/u0GctX74cISQrK/vjl3E4HGdnZ4RQ//796+rquhATAHF6eiXoIhUVlTlz5ly9erWsrOzKlSuzZs1SUFAoKCg4fPjw6NGje/fujSffsVgsspMKCvx4gI7eafzp0yeEkJub249fdvLkyaioKBkZmbCwMEVFxU6HBADB0SHQFU1NTXfu3KHT6deuXePerqympubi4kKj0RwcHMR88t21a9ecnZ1NTEwyMzPb+SkMBkNNTa2xsTEtLe0H4yJevXplZWXFZDIPHTq0du1anqQF4gyaAPBAc3PzgwcPwsPDv5h8N336dBqNNmnSJPGcfFdSUqKtrU2hUKqrq/FTJNujsLDw1q1bCxcu/N4JmMbGRisrq6ysrClTpty4cQPO04CugyYAvMRisZ48eUKn0yMiIoqLi/FCBQWFqVOn0mi0KVOmiNtxjH79+uXl5d27d6+d9/2uX7+eyWSuXr16wIAB33vNsmXLTp8+ra2tnZ6erqmpybuwQIyRfJ4CiCg2mx0XF7d27do+ffpwf9ioVKqzs/OFCxeqqqrIDsgnM2fORAj9+eef7Xkxg8HAuw4JCQnfew1+DA6eKsG7mEDcQROA7sXhcJKTkzdv3mxkZMStBGlpaTw9u6ysjOyA3evgwYMIoRkzZrTnxTt37kQI9ezZ83sXYuXl5amoqCCENm/ezNOYQNzB0SHAJwRBvHr1Ck++y8rKwgslJSXHjh2LJ9/p6OiQm7A7xMfHjxo1SlNTs7i4uM0D+gMGDHj79u2QIUNevnz59UdZLNb48ePj4uKsra3j4uLwk+4B4AloAkCC7OxsPB87LS0NL6FQKKNGjaLRaG5ubq0PKAm7pqYmJSUlFov14cMHfL/Y9zAYDDxe4u+//16/fv3XL/jjjz+2b9/eo0ePtLQ0Q0PD7koMxBO5uyRAzOXk5Ozbtw8/14XLyspqz5497969Izsdb1hYWCCEwsLCfvyyAwcOIIQoFEpTU9PXH338+LGEhARC6OLFi90TE4g1aAIgEPLz8/Edaq0PoZiZme3YsSMzM5PsdF2C7xlet27dj1+Gx1AbGxt//aGKigpdXV2E0Ny5c7slIhB70ARAsBQVFZ08eXLChAmSkpLcShg0aNDWrVvT0tI4HA7ZATvswoULCCFbW9sfvIbNZvfo0QMh9Mcff3zxIQ6H4+rqikuitra2O5MC8QXnCYCAqqiouHbtWnh4eOvJdwYGBnjyHX6sI7kJ2+nt27cDBgyQlZWtra393k3XCQkJtra2ioqKpaWlX9yFd+rUKT8/P2lp6YSEBHygCQCegyYAgq6mpubGjRt0Oj0mJobBYOCFenp6bm5uNBrN1ta29d6DACIIQk1NraqqKiUlxdLS8puviY+P/+2333r16oV3ILgyMjKsrKwYDMb3TiMDwBPQBEBoNDQ0xMTEhIeH37x5s76+Hi/U0tJydXWl0Wjjxo3r6GMA+Gby5Mm3b98+duzYihUrvv4oQRCPHj2ys7OTkpJqvaPT1NRkZWWVmZk5efLkmzdv4jPGAHQH+NkCQkNBQcHd3T0sLKysrCwqKsrX11dFRaWkpOTUqVMTJ07U1tZeuHBhdHQ0k8kkO+mX8MVR3xtKmp6ebm9v369fP+4TgbANGzZkZmZqaWkFBgZCDYDuRepZCgC6hMlk3rp1a9GiRerq6twfaSUlpdmzZ0dERDQ2NpId8D/R0dEIof79+3/zowsXLkQIubi4tF4YERGBv5zbt2/zJSMQa3B0CIgCFosVGxuLJ98VFRXhhQoKClOmTMGT7/CVOWSpqKjAXVVRUaGqqvrFR6lUKpPJ3LBhA76lACFUUFBgZmZWVVW1cePGffv28TsuED/QBECkcDichIQEfANzfn4+XigrKztp0iQajTZjxgw8t4f/jI2N379/HxMTM3ny5NbLY2JipkyZghD6+PFj3759EUJsNnv8+PGxsbGWlpZPnz4V82c8AP6Ag49ApEhISIwaNergwYMfP35MSUn5+eefjYyMmEzmtWvX5s6dq6mpiSfflZeX8znY904V+Pv7I4TU1NRwDSCE/vzzz9jYWEVFxdDQUKgBwCdkH54CoHtxOJz09PTffvtt8ODB3B97CQkJe3v748ePf/78mT8xjhw5ghBycnL6Yrm8vDxCyMfHB/81NjYWnxwODg7mTzAACDhPAMTKmzdv6HR6eHh468l3tra2+G61bp18l5ycbGNjo6qqWl5ezr1UNDExceTIkQihjIyMwYMHV1VVmZmZFRQU+Pj4fHFjAQDdCpoAiKPc3NyIiAg6nZ6YmMhdaGVlhSuh9aMUeKW5uVlJSYnJZL59+9bY2BgvPHTo0Pr1642Njd++fUsQhIeHB51ONzIyev78ObmnuIHYIXmfBABSFRQUHDlyZMyYMa1v6Ro6dOj27dt5PvluxIgR6P8e9hk7dixC6PDhwwRBnD59GiEkJSWVkpLC2+0C0CbYJwAAIYRKSkoiIyPpdPqDBw+4d3gNHDgQ7yWYm5t3fczR2rVrDx8+vHLlyqNHj+IllZWVN27cmDBhQlVVlaWlJYPB2L9//08//dTFDQHQUdAEAPwflZWV3Ml3zc3NeKGBgYGbm5u7u7uVlVWnb/cNDQ319va2srJKTk5GCAUHB9++fXvx4sXW1tY2NjavXr1ydHSMiYmB24kB/0ETAPBtNTU1N2/exJPvmpqa8EJdXV08+W7UqFEdnXyXm5traGgoLS1dW1tLpVIdHR3v3r27Z8+egoKC48ePa2pqpqena2trd8OXAkAboAkAaAOefEen02/cuNF68p2Li4u7u/vYsWPb+UhhgiC0tLTKysri4+O1tLSMjIwIgjh69OiqVasQQl/fdAYA30ATANBeDAbj7t27dDo9KiqquroaL1RVVXV2dqbRaBMmTJCVlf3xGqZPn37jxo1Dhw5lZWWdPXtWRkZGUVGxsrKy9agJAPgPmgCADmtubn748CGdTo+MjCwrK8MLlZSUpk+fTqPRJk2ahO8X+9quXbu2bdvm6en56NGj4uJiZWXlmpoaCwuL+Ph4uJ0YkAiaAIDOY7FYcXFxeMwRd/KdvLw8nnw3derUL24LuHv3rqOjY58+fbgzkRQUFNLS0rh3GABACmgCAHiAw+EkJibiSsjLy8MLuZPvpk+f3rNnT4RQdXU1/gNXUFCQr68vCYkBaAWaAABeIgji+fPneKbFu3fv8EIpKSkHBwcajebi4jJ27NjXr1/j5bNnzw4ODhaWBzIDEQZNAEC3IAgiIyMD7yVkZGTghRISEhoaGiUlJQghHR2d7OxsJSUlUmMCgBA0AQB8gCff0en058+fcxfGx8fj8XMAkA6aAAD++fDhw7Zt2y5duqSpqVlcXEx2HAD+A00AAL81NjbKyMhISUmRHQSA/0ATAACAuINZVwAAIO6gCQAAQNxBEwAgWAIDAyn/n5SUVO/evefNm/fp0yeycwFRBuesABBEO3bs0NfXZzAYiYmJgYGBcXFxGRkZVCqV7FxANEETACCInJycLC0tEUKLFi1SV1ffu3fvtWvXZs6cSXYuIJrg6BAAgm706NEIoZycHLKDAJEFTQCAoPv48SNC6IvRdQDwEBwdAkAQ1dTUlJeXMxiMpKSk7du3y8rKTps2jexQQGRBEwAgiCZMmMD9c79+/UJCQnR1dUnMA0QbNAEAguj48eP9+/evqak5f/78kydP2nwuJgBdAU0AgCCytrbG1w65uLjY2dl5e3u/efNGUVGR7FxANMEZYwAEmqSk5F9//fX58+djx46RnQWILGgCAATduHHjrK2t/f39GQwG2VmAaIImAEAIbNy4saSkJDAwkOwgQDRBEwAgBNzc3AwNDQ8cOMBms8nOAkQQPJ8AAADEHewTAACAuIMmAAAAcQdNAAAA4g6aAAAAxB00AQAAiDtoAgAAEHfQBAAAIO6gCQAAQNxBEwAAgLiDJgAAAHEHTQAAAOIOmgAAAMQdNAEAAIi7/wcxOpfpZKkVtgAAAABJRU5ErkJggg==", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.98, 0.5), 'N': (0.61, 1.0), 'U': (0.02, 0.81), 'W': (0.02, 0.19), 'R': (0.61, 0.0), 'X': (0.79, 0.56), 'F': (0.02, 0.39), 'L': (0.5, 0.5)} radius = 0.0 connection_dict = {'I': ['N', 'R', 'X', 'U'], 'N': ['I', 'U'], 'U': ['N', 'W', 'X', 'I', 'F'], 'W': ['U', 'R', 'F'], 'R': ['W', 'I', 'X', 'L'], 'X': ['U', 'I', 'R', 'F', 'L'], 'F': ['X', 'U', 'W', 'L'], 'L': ['F', 'X', 'R']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'A': (0.0, 0.21), 'E': (1.0, 0.21), 'G': (0.0, 0.79)} radius = 0.0 connection_dict = {'A': ['E', 'G'], 'E': ['A', 'G'], 'G': ['A', 'E']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.0, 0.09), 'B': (0.53, 0.09), 'D': (1.0, 0.91), 'A': (0.47, 0.91), 'H': (0.74, 0.91)} radius = 0.0 connection_dict = {'K': ['B', 'A'], 'B': ['K', 'D', 'H'], 'D': ['B', 'A', 'H'], 'A': ['K', 'D', 'H'], 'H': ['D', 'A', 'B']}
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", 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<image>
# 顶点坐标 coordinates = {'N': (0.98, 0.5), 'A': (0.61, 1.0), 'Y': (0.02, 0.81), 'L': (0.02, 0.19), 'O': (0.61, 0.0), 'X': (0.61, 0.5), 'G': (0.88, 0.5), 'U': (0.33, 0.71)} radius = 0.0 connection_dict = {'N': ['A', 'O', 'G', 'X', 'U', 'Y'], 'A': ['N', 'Y', 'X', 'O', 'G'], 'Y': ['A', 'L', 'U', 'N'], 'L': ['Y', 'O'], 'O': ['L', 'N', 'X', 'A', 'U', 'G'], 'X': ['A', 'O', 'Y', 'G', 'N'], 'G': ['X', 'N', 'A', 'O'], 'U': ['O', 'Y', 'N']}
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", 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<image>
# 顶点坐标 coordinates = {'B': (0.16, 0.28), 'D': (0.84, 0.28), 'C': (1.0, 0.72), 'G': (0.0, 0.72), 'K': (0.58, 0.5), 'A': (0.08, 0.5)} radius = 0.0 connection_dict = {'B': ['D', 'G', 'C', 'K', 'A'], 'D': ['B', 'C'], 'C': ['D', 'G', 'B', 'K'], 'G': ['B', 'C', 'A'], 'K': ['B', 'C', 'A'], 'A': ['G', 'B', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.69, 0.5), 'Y': (0.59, 0.0), 'D': (0.21, 0.66), 'P': (0.62, 0.17), 'B': (0.79, 1.0)} radius = 0.5100802223284083 # 连接关系 connection_dict = {'O': ['P', 'Y'], 'Y': ['D', 'P', 'O'], 'D': ['Y', 'P'], 'P': ['O', 'Y', 'D', 'B'], 'B': ['P']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.0, 0.07), 'F': (1.0, 0.07), 'K': (0.5, 0.93)} radius = 0.0 connection_dict = {'I': ['F', 'K'], 'F': ['I', 'K'], 'K': ['I', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (0.93, 0.5), 'L': (0.07, 1.0), 'H': (0.07, 0.0), 'D': (0.5, 0.25), 'Y': (0.07, 0.25)} radius = 0.0 connection_dict = {'Q': ['L', 'H', 'D'], 'L': ['Q', 'H', 'Y'], 'H': ['L', 'Q', 'D', 'Y'], 'D': ['H', 'Q', 'L', 'Y'], 'Y': ['H', 'L', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.0, 0.04), 'I': (1.0, 0.04), 'K': (0.61, 0.96)} radius = 0.0 connection_dict = {'L': ['I', 'K'], 'I': ['L', 'K'], 'K': ['L', 'I']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'B': (0.37, 0.0), 'H': (0.63, 0.0), 'C': (0.37, 1.0)} radius = 0.0 connection_dict = {'B': ['H', 'C'], 'H': ['B', 'C'], 'C': ['B', 'H']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.98, 0.5), 'C': (0.61, 1.0), 'H': (0.02, 0.81), 'X': (0.02, 0.19), 'T': (0.61, 0.0), 'E': (0.79, 0.25), 'I': (0.5, 0.85)} radius = 0.0 connection_dict = {'K': ['C', 'T', 'E', 'I'], 'C': ['K', 'H', 'I', 'X'], 'H': ['C', 'X'], 'X': ['H', 'T', 'I', 'C'], 'T': ['X', 'K', 'E'], 'E': ['T', 'K', 'H'], 'I': ['C', 'K', 'X']}
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qCj8G6Srx7t27li1bHj9+HLtK/CW8OoQQ+lMxMTEcDsff319WVnbfvn3BwcFUygAAeHh4+Pn5ycjI+Pr6CrStqZTASoAQ+j0ul7t9+/Z+/fp9/PixTZs2MTExy5cvpzWB6+XLlwsWLACAbdu2CXSRA+mBV4cQQr+RmppqZ2cXHh4OAHZ2dkePHq1bty6tMGVlZTY2NkVFRf3791+5ciWtGBIGzwkQQr8SFBTE4XDCw8NVVFQ8PT29vLwolgEAWLNmTXx8fIMGDby8vAS08qUUwkqAEPqxkpKS+fPnjxw5Mjc318DAID4+ftKkSXQjXb9+ncwidnd319bWphtGkmC3CYTQDyQnJ0+YMOHp06cAsHz58h07dsjJydGNlJ6ezuFwsrOzFy1aRLoMIX7BSoAQ+h8Mw7i6ui5ZsqSkpERDQ8PDw2PQoEG0QwGPxxs0aNDt27c5HM69e/cUFBRoJ5IoeMcYIfSv3NzcmTNnXrhwAQAGDRrk4eGhoaFBOxQAgKOj4+3bt0lXCSwDfIf3CRBC/4iMjNTV1b1w4UKdOnUcHR2vX78uImXgwYMH69atAwBnZ+eOHTvSjiOBsBIgoSorK7t27dq0adP69u1LrkEjUcDlcrdu3Wpqavrp06e2bdvGxsY6ODiIyHov+fn5NjY2lZWV48aNmzZtGu04kgnvEyBhKC4uvnnzZmBg4JUrV/Lz88nGDh06xMXFKSsr082GPn36ZGdnFxERAQBTpkxxcXGhO060OoZh7OzsfHx8WrRokZCQoKamRjuRhGIQEpj8/HxfX98xY8YoKSlVveS0tLTmz5/fpEkTAJg+fTrtjNLuwoUL9evXBwAVFRVvb2/acb7n4eEBADIyMtHR0bSzSDKsBIj/cnNzPTw8rKysqveLb9GixbJly6Kjo7lcLsMwoaGhpGuYn58f7bxSqri4eO7cueS306NHj9evX9NO9L2XL1+SU8bt27fTziLhsBIgvsnKyjp58uSgQYNkZf8dk9auXbvVq1c/fPiQx+N993jSWV5VVfXt27dUAkuzJ0+edOnShfyOVq1aVVZWRjvR98rKyvT09ADA1NS0srKSdhwJh5UA/a20tLTDhw+bmZlVv8HYtWvXTZs2JSUl/bcAVKmoqDA2NgYAIyOj8vJyYWaWZjwe7+jRo2QgpqamZkhICO1EP+bg4AAA6urqqamptLNIPqwEqJbev3/v5OTUu3fv6q3h9fT0duzY8eLFiz/cybt370hL4XXr1gk0LSK+fPkyatQo8ssaPHhwZmYm7UQ/duPGDRIyKCiIdhapgJUA1UxKSsquXbsMDAyqjzswMjLat29f7S7ynD9/HgBYLNbdu3f5nhZVFx4e3rRpUwCoU6fOgQMHyA0bEZSent64cWMAWLBgAe0s0gIrAfo9Ho/39OnTLVu26OjoVL37s9lsExMTZ2fnT58+/eX+Z8yYAQDa2trZ2dl8CYy+U1FRsXHjRnL5rn379nFxcbQT/RSXy7WwsACAbt26lZSU0I4jLbASoJ/i8XhxcXFr166tvla4jIzMwIEDjx8/npGRwa8DFRYWkomjw4cP/8V9BVQ779+/7927N/n1TZ06taCggHaiX9m3bx8AKCoqJicn084iRbASoO9xudzY2Njly5e3atWqqgDIyckNGzbMzc3ty5cvgjhoQkICaXXp4uIiiP1LrYCAADIbq27duj4+PrTj/MaDBw/IwLOTJ0/SziJdsBKgf1RWVoaFhS1cuJDM+SIUFRVHjx599uzZvLw8QQdwdnYGAHl5+YSEBEEfSxoUFRXNmjWL/B579uz55s0b2ol+Iz8/v02bNgAwZswYPDUUMqwE0q68vDwkJGT27NnkHh1Rt25dGxubgICAwsJCoSXh8XjDhg0DgI4dOwrzuBIpMTGxc+fO5Fb8mjVrxGKQLlkGp3nz5rm5ubSzSB2sBFKqtLT06tWrU6dOVVdXryoA9evXnzJlyuXLl2ndqcvOztbS0gKAmTNnUgkgAXg83uHDh8nsbi0trdu3b9NO9Ec8PT3JMISoqCjaWaQRVgLpUlRUFBgYaGtrq6qqWlUAGjVqNGvWrJs3b4rCJ8c7d+6QCQr+/v60s4ifnJycESNGkF/r0KFDs7KyaCf6I69evVJRUQGArVu30s4ipbASSIUfdoLT1tZesGBBaGioqE3lX7t2LQCoqam9f/+edhZxEhoaSu7xyMnJHTp0SFwutZeVlZHpKf369RO1l6L0wEogyXJzc93d3YcPH/7fTnAxMTEiO7GovLzcyMgIAHr37l1RUUE7jhioqKhYv349OZfq0KFDfHw87UQ1sGLFCgBQV1f/+4kpqNawEkigH3aCa9++/Zo1ax49eiQWHxXfvn1Lrl9t3LiRdhZR9/79+169epHf8vTp08XrZvvNmzdJ8osXL9LOItWwEkiOtLQ0FxcXU1PT/3aCe/LkiVgUgOr8/PzILcSwsDDaWUTX+fPnSeMmVVVVsevvnZGRQVbHnDdvHu0s0g4rgdh7//79/v37qz4VEvr6+jt37nz58iXtdH+FLFXYtGnTnJwc2llETmFhIenSAQBGRkZi19mby+VaWlqSDyvFxcW040g7rATiinSC09fXr14AjI2NHR0dxe5N4WcKCwtJo4uRI0eK3TmNQCUkJJD+HCwWa926daIw6Kum9u/fDwAKCgpPnz6lnQVhJRArPB7vyZMnmzdv7tatW9W7P5vNNjU1dXFxkcg27o8fPyZdKI4ePUo7i0jg8XjOzs5kCIC2traYNnB99OhRnTp1AOD48eO0syCGwUogFqo6wbVv376qAMjKylpYWJw4cUJkW8zzy8GDBwFAXl4+KSmJdhbKsrOzhw8fTl4Aw4cPF9PWrfn5+W3btgWA0aNH46meiMBKILq4XG5MTIyDg0PLli2rCgDpBOfu7i6gTnAiiMfjDR06FAC6dOlSVFREOw41d+7c0dbWJkXRxcVFfN9Dp0yZAgDNmjWTntew6MNKIHJ+1gnO2trax8dHCJ3gRFBWVpampiYAzJkzh3YWCsrLy9euXUumC3Ts2FGsO/R5e3uTS5oRERG0s6B/YSUQFaQT3KxZs/7bCS4wMFCaPwsTt2/fJm+FgYGBtLMI1du3b8k8OwCYOXOmeE0X+M7r16/r1q0LAJs3b6adBf0PrASUlZaWXrlyxd7evn79+lUFoH79+vb29leuXME1m6pbvXo1AKipqX348IF2FiHx8/MjM+zq1at3/vx52nH+SllZWY8ePQCgb9++OHVc1GAloIN0grOxsSEfkYjGjRvPmjUrJCREHAcFCkF5ebmhoaEIvpU8ePBg/vz5nTt3VlJSatas2dixY384k6O8vLxTp04AsG/fvt/us7CwkEynAIBevXpJQAumVatWkU850lPIxQhWAqHKy8vz8fGxtrau3gmuSZMmCxcuDAsLw/Zbv/XmzRsRvLxgbW2tqam5cOFCV1fXbdu2aWhoKCsrP3ny5LuH7d+/X1lZ+U8qQXx8PJlIwWKxNmzYIFJlr3ZCQkLIq13aLu6JC6wEwkA6wQ0bNowMjSdatmzp4OAQGxsrsp3gRJOPj4+o3XKMjo4uKyur+mdKSoq8vPzEiROrPyYzM7NevXpbt279dSXg8XgHDx4kr5MmTZqEhoYKLrbQZGZmSvMNf7GAlUCAMjMzT5w4YWFh8V0nuLVr18bFxYnvKEDq7O3tRXwYop6enp6eXvUtU6dONTQ0fPv27S8qQVZWFhkvCwAjRoyQjB4bXC538ODBZBAwdpUQWVgJ+C81NdXFxcXExKR6J7hu3bpt3rxZHDvBiaCCgoJ27dqJ7NQkHo/XpEkTCwuLqi33799ns9kxMTHv3r37WSW4ffs2Wa9NXl7+yJEjIvhz1c6BAwcAQEFB4b+Xy5DoEKFKsGnTJgD477TJLl26mJiY0EhUM+/evXN0dDQ2NoZq9PX1d+3aJe6d4ERQXFycyLYr8PLyAoDTp0+Tf/J4PENDQxsbG4ZhflgJysvLV69eTcbIdu7cWZKmUlf9mrBZiIjDSvC3Xr58uXPnzu86wfXq1Wv//v3v3r2jnU6SOTk5gei1MHv+/LmqqqqxsXHV/f8zZ84oKip+/PiR+VElePPmDRkQBQCzZ8+WpIkjBQUFpD8KNhAUfVgJaoN0gtu0aVPXrl2r3v1JJ7jDhw+npaXRDigVqi5Ai05b4/T09NatWzdr1qzqNZCXl6ehoVG13s53lcDHx4cMhVJTUwsICKATWmCmTp0KAE2bNhXZ2zmoiiygP8YwzOPHjwMDAwMDA1NSUshGWVnZAQMGWFtbjxgxovr0YCRobDbb3d1dR0fn6dOny5cvP3LkCN08eXl5gwcP/vbtW2RkJGkQBACOjo7l5eXjx49///49AKSmpgLA169fk5OT9+zZQ64j9enT5+zZs82bN6eXnf98fX3d3NzYbLa3t7e6ujrtOOh3aJeif4nsOQHpBLds2bLqneDk5eWHDx/u4eGRm5tLMRuqGqhOd/nDkpKSvn37KikpxcTEVN9Ouq39DJvN3rRpkwRMF/jOmzdvcPFR8YLnBD/F5XIjIyMDAwMvXLjw+fNnslFJSWnIkCHW1tZDhw6tPj0Y0TJw4MCVK1fu3bt32rRp+vr6zZo1E34GLpc7fvz42NjYoKCg74YMLFq0aOTIkVX/zMzMnDNnDovFYhhGW1vb19e3X79+wo4rYBUVFba2tvn5+b17996wYQPtOOiPYCX4XkVFRWhoaGBg4MWLF7Ozs8nGunXrDh8+3Nra2tLSsvr0YCQKtm3bFhoa+vDhQzs7u7t378rIyAg5gIODw+XLl4cPH56bm0t6bRJ2dnZkYgH5Z1ZW1rhx4wCAYZhRo0adOnVKIi+bbNq06f79+2pqamfPnq0+kwaJNNonJf/6xdUhU1NTQR+9pKTk8uXLU6ZM+a4T3NSpU69evVpaWiroAOhvVDW53Lp1q/CPbmJi8ts/rpCQELJ6O4jqNAi+qGoZ6+/vTzsLqgERqgS7du0CADLYrrpWrVpZWloK6KCFhYUBAQH/7QQ3e/Zs7AQnXqoa30dFRdHO8j/KyspWrlxJXlpdunSR4AlWWVlZZHLcrFmzaGdBNSNClYD0k7l161b1jUVFRbKysrNnz+bvsfLy8s6ePTt69GhFRcWqAtCkSZNFixaFh4djJzgxNXnyZABo3ry56NzGf/36NWnFDABz584VkdGuglC1tFynTp0kaVaElBChSpCZmSknJzd69OjqHdnIVPVLly7x5RBfvnxxc3P7rhNcq1atli9fjp3gJEDVArnW1taicPnF29ubnGvWr1//woULtOMI1qFDhwBAXl4+MTGRdhZUYyJUCRiG2b59OwD07t17z549Li4uNjY2AGBhYfGX79EZGRnHjx8fOHBg9ftXHTp0WLdu3ePHj0XhLQPxy6NHj0h7g5MnT1KMkZ+fT05QAKBv377/veYpYeLj48mnq8OHD9POgmpDtCoBwzDe3t5GRkbKysry8vIdO3bcsmVLre/WpqamOjs7f9cJTkdHZ8uWLU+fPsUCIKkcHR0BQFFRMTk5mUqAR48ekVMTNpu9ZcsWib/YWFhYSFZTsLKywj8rMSVyleDvkU5wVUu/EgYGBrt3705JSaGdDgkcl8sdNGgQAHTr1k3Iy39yuVxHR0dyUtKsWbPIyEhhHp2W6dOnk9tsktFGWzpJTiV48eLFjh07qsZuE71793ZycpKAlf9QjWRkZJDOHwsWLBDmQUkFIjcqROeutUD5+fkBAIvFkoxFdaSWeFcCHo+XlJT0305wZmZm2AlOygUHB5PXQ1BQkHAOR2qPgoLCiRMnpOQiydu3b0lXifXr19POgv6KWFaC9+/fP3z4cPXq1WS5EkJWVtbS0tLV1TUrK4t2QCQSli9fDgDq6uqpqamCO0pZWRk5ELkeJVItsgWqvLycXIM1NjaWvNZJ0kb8KsH48eOrX/+Rl5e3srLCTnDov8rKysi6EaampgK6bZuSkmJgYEBeivPnz5fg6QL/tW7dOgCoV68ersMhAcSvEjRs2JD84Q0cONDPzy8/P592IiS6UlJSVFRUAGD79u1837mnpyfZubq6Or+mvIiLu3fvkq4S58+fp50F8YH4VYIFCxaQStCwYUM8J0W/5enpCQAyMjLR0dH82md+fr6dnR15HZqYmHz69IlfexYL2dnZZAGGGTNm0M6C+IMN4qaqP0ROTo61tTXdMEj0TZo0yc7Ojsvl2trafvv27e93+PDhw+7du3t7e8vIyGzbtu3OnTtNmzb9+92KC4Zhpk2b9vnz544dOx48eJB2HMQf4lcJiE6dOgHA5cuXqzcBRuiHjhw50qZNmw8fPpDOaLXeD4/H27dvX69evd68edO8efPw8PD169cLvwk2XUeOHLly5YqcnJyfn5+ysjLtOIg/xLUSWFpaNmnSBADIxxPacZBIU1VV9fX1lZWV9ff3P3PmTO12kpGRYWlpuXLlysrKyrFjxyYkJPTu3Zu/OUVfYmIiGSjl6OjI4XBox0F8I66VgM1mR0ZGysjIVFRUSN6qT4jvevTosXPnTgBYtGjR8+fPa/r0Gzdu6Ojo3Lp1S1FR0dXV9dy5c9XXsZASRUVFEyZMKCsrGzZsWNXtOiQZxLUSAECrVq2cnZ0B4M2bN/PmzaMdB4k6BweHgQMHFhcX29jYlJaW/uGzysrKHBwchgwZkp2draOjExcXN2PGDDJsRtosXbr0xYsXWlpabm5u0vl/QIKJcSUAgHnz5pmZmQHAsWPH7t69SzsOEmlsNtvT07NRo0aJiYmrVq36k6ekpKT06tXLyckJABYuXHj//n1yg0oK+fv7u7q6slgsb2/vqpHcSGKIdyUAgODg4Hr16gGAlZVVYWEh7ThIpGlqanp4eACAs7PzlStXfvFIhmE8PDz09PQeP37coEGDy5cvOzs7KygoCCupaPnw4cPMmTMBYM2aNf3796cdB/Gf2FcCOTm5mzdvslisoqIic3Nz2nGQqBs8ePCyZcsAYOrUqT8ba0CmC9jb2xcVFZmZmSUmJg4fPly4MUVIZWWlra1tXl6ekZHR5s2bacdBAiH2lQAAevbsuWLFCgC4f//+7t27acdBom7nzp16enpfvnwh8wy+++79+/e7d+/u4+MjIyOzY8eOW7dukVFqUmvr1q0xMTGqqqo+Pj6k4TaSQJRnttUcedN3cHD4bnuXLl0AgM1mS08LMFRrL1++JGPhd+7cWbWRy+Xu3r2bLGzXokWLmJgYiglFRGhoKLk57OfnRzsLEiBJOCcgIiIi5OXleTyemZlZZWUl7ThIpLVv3/7IkSMAsGHDhnv37gFAenr6oEGDVq9eXVlZOX78+ISEBGNjY9oxKSOnTQzDTJs27bvOj0jCSE4lUFdX9/X1BYDs7OyxY8fSjoNE3eTJk21tbblcro2Njb+/v46Ozu3bt5WUlE6fPu3r66umpkY7IGUMw0yfPj0tLa1Dhw5kuDaSYJJTCQBg1KhRNjY2AHDp0qWzZ8/SjoNEGovFOnbsWMuWLd+/fz9u3LicnBwOhxMXFzdt2jQcLA8Ax44dCwoKkpOT8/X1xa4SEk+iKgEAeHt7a2lpAcDUqVMzMjJox0EiLT09XU5Ojnxtbm5+7969jh070o0kIp48eUJGWO3du7d79+604yCBk7RKgF0o0J9gGMbNzU1PTy8lJYV84I2Jifnw4QPtXCKhuLiYdJUYOnTookWLaMdBwiBplQAA2rRpc+DAAQB49erVwoULacdBIicvL8/W1nbatGnFxcX9+/d/8eLFgAEDqt7+aKejb9myZc+ePdPU1MSuEtJDAisBACxcuNDExAQADh8+HBYWRjsOEiH37t3T1dX18/OTkZHZtWtXSEhI06ZNPT09GzZsmJCQsHr1atoBKQsMDDxx4gTpKtGoUSPacZCQSGYlAIDg4GBVVVUAGDZsWHFxMe04iD4ul7tr164+ffq8f/++VatWUVFRq1evJqsLaGtru7u7A8DBgwevXbtGOSg9Hz9+nDFjBgCsWrVqwIABtOMg4ZHYSqCgoBAcHIxdKBDx+fNnCwuLtWvXcrncCRMmxMfHGxkZVX/A0KFDFy9eDAD29vbp6emUYtJUWVk5ceLEb9++GRoabt26lXYcJFQSWwkAwNjYmIx/iI2N3bdvH+04iJqrV6/q6OjcvXtXWVnZzc3Nx8eHdC38zp49e3R1dXNyciZNmsTj8YSfk67t27dHRUXVrVvX19cXu0pIG0muBADg6OhIxgWuXr26FuuTIHFXWlq6ePHi4cOHf/nypXv37nFxcfb29j+7CyovL+/r66ukpHTnzh1p++gQERGxbds2ADhx4kTr1q1px0HCJuGVAAAiIyPl5OR4PJ6pqakUftCTZi9evDAyMiLzY5cuXRobG9uhQ4dfP6Vjx44uLi4AsH79+vv37wsjpQjIzc2dOHEij8ezt7cnczORtJH8StCwYUMy3zgrKwu7UEgJhmFOnz6tr6+fmJjYqFGja9euOTk5ycvL/8lzp06dOn78+MrKShsbm7y8PEFHpY5hmBkzZqSmprZr145UQSSFJL8SAMCYMWNIDbhw4cK5c+dox0GC9e3btwkTJsyYMaO4uNjc3DwxMXHIkCF//nQWi3X8+PGWLVu+e/du7ty5DMMILqooOHHixMWLF+vUqePn56eiokI7DqJDKioBAPj5+WlqagLA5MmTs7KyaMdBghITE6Orq3v+/HlZWdk9e/bcvHmTdB+pETU1NbI+ga+vr6enpyByioinT58uXboUAPbs2aOnp0c7DqJGWioBm82OiIhgs9nl5eV9+/alHQfxH5fL3bFjR79+/T58+NC6devo6OiVK1ey2bV8hRsbG5ORlPPnz09JSeFrUlFRUlIyYcKE0tLSwYMHkxG0SGpJSyUAgHbt2u3fvx8AUlJS8HUvYdLS0szNzdevX8/lcm1tbePj4w0NDf9yn6tWrTIzMysqKpLULhQODg7JyckaGhru7u61LplIMkjXr3/JkiV9+vQBAGdn54iICNpxEH9cvnxZR0cnLCxMWVnZw8PD29ubTC//SzIyMl5eXg0aNIiPj1+7du3f71CkXLx48dixYwDg5eXVuHFj2nEQZdJVCQDg1q1b5LbY0KFDsQuFuCstLV24cOGIESNyc3P19PTi4+MnT57Mx6ZpTZo0cXNzAwAnJ6cbN27wa7fUffr0afr06QCwcuXKgQMH0o6D6JO6SqCgoED+pAsLCy0sLGjHQbX37NkzQ0PDw4cPA4CDg0NsbGy7du34fpThw4eTjrZTpkyRjBUvuFzuxIkTv3792qNHDzKbDCGpqwQA0KdPHzJeIjo62snJiXYcVGMMw7i6uhoYGDx58qRx48Y3btxwdHSsWnOG7/bu3aujo5OdnT158mQJmJy4Y8eOyMhI0lVCcP/TkJj5s4XvRciKFSsAwMHB4S/3Q6abstnsFy9e8CUYEo7c3NwxY8aQV6+FhUV6eroQDvrs2TNFRUUA2Lt3rxAOJziRkZHk5rC3tzftLEiESOM5AREREUG6UJiYmEjABz0pER0draurGxAQICsru2/fvhs3bpBpIoLWqVMn0rVi7dq1Dx8+FMIRBeHr16+2trY8Hm/SpEkTJ06kHQeJEOmtBI0bN/by8gKAzMzM8ePH046DfoPL5W7btq1fv34fP35s06ZNTEzM8uXLhTn2cfr06WPHjiVdKPLz84V2XH5hGGbmzJmfPn1q27btkSNHaMdBokV6KwEAjBs3ztraGgACAgLOnz9POw76qdTU1P79+2/cuJF8no2Pj+/Ro4eQM7BYrJMnT7Zo0eLNmzfz588X8tH/nqura2BgoKysrK+vb926dWnHQaJFqisBAJw/f54Mpp40aRJ2oRBNly5d4nA4ERERKioqnp6enp6etN7IqrpQeHt7kxNKcZGcnExmU+7atcvAwIB2HCRypL0SVO9CQZY+RqKjpKRk/vz5o0aNys3NNTAwiI+PnzRpEt1IvXr12rx5MwDMmzfv1atXdMP8oZKSEhsbm9LSUgsLC7J2E0LfkfZKAAAdOnTYu3cvALx48QL/TkRHcnKyoaHh0aNHAWDFihXR0dFt27alHQoAYM2aNSYmJoWFhTY2NuXl5bTj/N6KFSvIcFsPDw/sKoF+CF8WAAAODg69evUCgAMHDkRHR9OOI+0Yhjlx4oSBgcHTp081NDRu3ry5d+9e0Rn5Tq4Oqaurx8XFrVu3jnac3wgKCiL3hz08PIQzzgqJI6wE/6jqQjF48ODS0lLacaQXmS4wZ86c0tJSS0vLxMREEZwK3rRp0zNnzgCAo6PjzZs3acf5qdTU1GnTpgGAg4ODpaUl7ThIdGEl+IeSktK1a9cAoKCgQATfeqREZGSkrq7uhQsX6tSps3///mvXrmloaNAO9WMjRowgI4gmT56cmZlJO84PcLlcOzu73NxcfX39nTt30o6DRBpWgn/169dv0aJFABAZGXnw4EHacaRLZWXlli1bTE1NyYD32NjYZcuWifhF7X379nXr1i0rK2vKlCkiODlx165d4eHhysrK2FUC/R7tSc41xq9uEz9Dupix2eyUlBQBHQJ958OHD1XLB02ZMiU/P592oj+VnJxMulA4OjrSzvI/oqKiZGRkAMDDw4N2FiQGRPozFxVRUVGkC0W/fv1E8IOe5Llw4YKuri7piebt7e3u7i5G8546d+5MTh/XrFnz6NEj2nH+8e3bN1tbW9JzlPq4WyQWsBJ8r3Hjxu7u7gCQkZFha2tLO44kKy4unjNnjrW19devXw0NDePj48WxGc7MmTOtra0rKipsbGwKCgpoxwGGYWbNmvXx48fWrVsfPXqUj6s1IAmGleAHbGxsRo0aBQDnzp0LDAykHUcyPX361NDQ8MSJEwCwatWqqKioNm3a0A5VGywWy9XVtVmzZq9fv16wYAHtOHD69Gl/f3/SVYIva7chaYCV4McCAgJIF4qJEyfm5OTQjvM/CsoKlgQvaXGwheIOxV6nez1M+6c1JsMwG0M3au3XUtyhaO5p/urLvzNgYz/F6h7XbXmw5enHpyml/hfDMMeOHevRo0dycrKmpmZISMju3bvr1KlDO1ft1a9f38fHh81me3p6ent7U0zy/PlzMuphx44df7+SM5IilO9T1Jyg7xhXefbsGRm70qlTJ0Efq0bG+Y/rfKRz+PvwV19ebQrdpLpLNTUvlWGY3ZG76+2qd+n5pcSMRCtfq1YHW5VUlJCndDrcKSA5IPpjdJtDbT5++0gxfE5OzsiRI8lrb8iQIZmZmRTD8NeWLVsAQEVF5fXr11QClJSU6OjoAIC5uTmXy6WSAYkprAS/QrpQAMDy5cuFcLg/UVxeLLNF5urLq1Vb9E7orbuzjsfjaTpq7oveRzZ+K/kmv03e94kv+WfzA83f5r4tLCs0OGmQnJVMITfDMAwTFhbWtGlTAKhTp86BAwd4PB6tJIJQWVnZr18/AOjRo0dZWZnwA5BVNhs1avT582fhHx2JNbw69CsrVqwwMjICgP3798fGxtKOAwBQyavkMlwFWYWqLYqyilEfo959e5dRmGHe2pxsrKdQr2fTnrGf/sm8sd/GTkc61dtdz6iJUedGnSnErqzctGlT//79U1NT27dvf+/evSVLlkjYzUzShaJ+/foPHz7csGGDkI9+5coVFxcXAHB3d9fS0hLy0ZG4w0rwG3fu3FFWVmYYxtLSUhS6UNSVr2vc1HhbxLbPBZ+5PK53kndsamx6YXpGYQYAaCj/OyNXQ1kjo+ifFdin603/svJL9opslyEuws/84cMHU1PTrVu38ni8qVOnxsXF6enpCT+GEDRr1uz06dMAsHfv3pCQEKEdNy0tberUqQCwdOnSIUOGCO24SGJgJfgNJSWlq1evAkB+fr6IdG7xGuXFANPEqYn8dnnn+842XW3YrN//HpXllOsr1hdCvO8EBATo6upGR0erqqr6+PicOXOG9HeSVKNGjZo7dy4ATJ48WTgrXnC53EmTJn358qV79+67du0SwhGR5MFK8HumpqZkdGB4eDg5AaerjXqbcPvwwjWFn5Z+ejDzQQWvonX91poqmgCQWfRvA5zMokxNZZq9J4uLi2fPnj127Nhv37717NkzPj7exsaGYh6h2b9/f5cuXTIzM4XThWLPnj2hoaHKysp+fn7y8vKCPhySSFgJ/oiLiwtpjr906dI3b97QjgMAoCynrFVX62vJ15uvb47oMKKVWitNFc07b++Q7+aX5d9PvW/czJhWvKSkJAMDg5MnT7JYrDVr1kRGRrZu3ZpWGCFTVFT08/NTUFAIDg4+dOiQQI8VGxu7ceNGADh8+HD79u0FeiwkyWjfsq4xYY4dqi49PZ2MedfS0qI7RC/4VfCNVzfe5r4NeR3COcbp6dqzvLKcYZjdkbvVdqsFvQhKykga4Tui+ihSYeLxeIcPHyYfTrW0tG7fvi38DKLg2LFjAFCnTp24uDgBHeLr168tWrQAABsbGwkbiIWEDCtBDVRNGrKxsRH+0auce3qu9aHWctvkNB0151+b/63kG9nO4/E23N2gsU9Dfpv8AI8BL3NeCj9bTk6OlZUV+b80dOjQrKws4WcQETwej8xUb9euXUFBgSD2P378eABo1arVt2/f+L5/JFWwEtTMiBEjyNvchQsXqAQQZaGhoU2aNAEAOTm5Q4cO4afUL1++kPkT9vb2fN85GaQkKyt77949vu8cSRu8T1AzAQEBjRo1AgAbG5vc3FzacURFZWXlhg0b+vfvn5aW1qFDh/v37y9atEjCpgvUgrq6+tmzZ9lstru7u4+PDx/3/OLFCzKPbNu2bT179uTjnpF0wkpQM7KysqGhoWw2u6ysjEwoRe/fv+/Xr9/27dsZhpk+fXpcXJyuri7tUKKiX79+ZJbZnDlz3r59y5d9lpaWTpgwobi4eMCAAStXruTLPpGUw0pQY126dNmxYwcAJCcnr1q1inYcys6fP6+rqxsbG6uqqurn53fq1CllZWXaoUTL+vXr+/TpU1BQYGNjU1FR8fc7XL16dWJiYsOGDT09PUV8WTckLvBlVBurV68mjR737dt3//592nHoKCoqmjlz5vjx4/Py8oyMjBITE8kNTPQdWVnZs2fPqqmpPXjwgIz4/BtXr14lI1Pd3d21tbX5ERAhrAS1VdWFwsLCory8nHYcYUtMTDQwMDh16hSLxVq3bl1ERETLli1phxJdzZs3P3XqFADs2bPn9u3btd7P58+fSVeJxYsXDx06lG/5kNTDSlBLKioqly9fBlHqQiEcDMM4OzsbGhq+ePFCW1v7zp0727dvF+vVBYTD2tp69uzZDMNMmjQpOzu7FnsgXSVycnJ0dXX37NnD94RImmElqL3+/fuTDjOhoaFHjx6lHUcYyHSBxYsXl5eXDx8+PDEx0czMjHYoseHk5NS5c+eMjAwyqLSmT9+3b9/du3eVlJR8fX2xqwTiL6wEf+Xo0aOkicKiRYvevXtHO45g3b17V0dH5+rVq/Ly8i4uLkFBQQ0bNqQdSpwoKSmR1kDXr193dnau0XPv3bu3fv16AHBxcenYsaNgAiLphZXgb0VGRtapU4fL5fbt21cI7caoqKioWLt2rbm5eXp6eqdOnR48eLBgwQKcLlAL3bp1c3JyAoCVK1fGx8f/4bPy8vJsbW25XO748ePJfQKE+Asrwd/S1tY+c+YMAKSlpU2ZMoV2HP579+5dv379du3axTDMzJkzHz58SJZIRLUzd+7cESNGlJeXT5gwobCw8LePZxhmzpw57969a9my5fHjx7EAI0HASsAHdnZ2w4YNAwBvb29yG1li+Pn56erq3rt3T01Nzd/f/+TJkzhd4C+xWKzTp083adIkJSVl8eLFv328h4eHn5+fjIyMj4+Pmpqa4AMiaYSVgD8uXrzYoEEDABg/fvzXr19px+GDoqKiadOm2djY5Ofn9+7dOyEhYcyYMbRDSYgGDRqcPXuWxWKdOXPGz8/vF498+fIlWRtj69atxsbUeowjiYeVgD9kZWXDwsJYLFZpaamJiQntOH8rPj5eX1/fzc2NxWJt2LAhLCyMdD9G/GJiYkLuAM+ePftnYw3KyspsbGyKiorMzMxwNjsSKKwEfNO1a9dt27YBwJMnT9atW0c7Ti0xDHPw4EEjI6OXL182adLk7t27W7dulZWVpZ1LAm3cuLFXr175+fm2trY/7EKxZs2a+Pj4Bg0aeHl5ycjICD8hkiL02qDWEt2u1L9lYGAAACwW68GDB7Sz1FhWVlbVeugjRozIycmhnUjCvX//vl69egCwdu3a77517do18ou4fPkylWxIquA5AZ+FhoYqKSkxDDNw4EDx6kJx584dHR2d69evy8vLHzlypOrOBxKcFi1auLq6AsCuXbvu3r1btT09Pd3e3h4AFi5cOHz4cFrxkPTASsBnKioqly5dAoC8vLyqz9cirqKiYvXq1QMHDszIyOjcufPDhw/nzZuHoxWFY+zYsTNnzmQYxs7OLicnBwB4PN7kyZOzs7N1dHT27t1LOyCSClgJ+G/gwIGzZ88GgDt37hw/fpx2nN94+/Ztnz599uzZwzDM7NmzHz582K1bN9qhpMvBgwc7deqUnp4+depUhmEcHR1v376tqKjo5+enoKBAOx2SClgJBOL48eOtWrUCgAULFnz48IF2nJ/y8fHR1dV98OCBmppaQEDA8ePHlZSUaIeSOlWthK5evbpixQoy3MDZ2blTp060oyFpgZVAUCIiImRlZblcbp8+fUSwC0VhYaG9vf3EiRMLCgr69OmTmJhobW1NO5T04nA4jo6OALB///7KysqxY8dOnz6ddigkRbASCErTpk1JS/rU1FRR6xXz+PFjPT09Dw8PNpu9adOm0NDQ5s2b0w4l7ebMmVM1VPTw4cN4nwYJE1YCAZoyZQq5aezp6Xn16lXacQAAeDyek5OTkZHRq1evmjVrFhYWtnnzZpwuIArMzc25XC4ATJw4sXHjxrTjIOmClUCwgoKC1NXVAWDs2LHfvn2jGyYzM3Po0KEODg4VFRWjRo1KSEjo27cv3UiIOH36dHh4OAC0bt3a29ubdhwkdbASCJasrGxoaCjpQmFqavrrBzMMZGRAYiJER0NMDDx5Ajk5UPMVTX7s1q1bHA4nODhYQUHh2LFjgYGBpEQh6nJzc2fOnAkAMjIyT58+/e677u7urP+noKCgra09aNAgZ2fngoICGmGRZMJKIHA6OjqbN28GgMTExA0bNnz3XR4PoqJgzRro0wdUVUFLC3R1oU8f6N0bdHSgUSNQV4cBA2DLFoiLq2VVKC8vX7lypYWFRWZmZteuXR8+fDhnzhy8DC06OnfuzDAMAFy6dElRUfGHj9m6dauXl9exY8cWLlwIAEuWLOnWrVtSUpJQgyIJRnWGc22IeLeJn9HX1wcAFov16NEjsiU7m9m6lWnWjAH49z82m9HQYNq0YVq3Zho2/J9vATAdOjAHDjAFBTU47qtXr0gDDACYN29ecXGxQH48VFuTJ08mvx1ra+sfPsDNzQ0AHj58WH3jnTt3FBUVW7Rogb9QxBdYCYQkLy+PfNxTU1P79q1s82ZGReWf9/d69ZiJExk3NyY5mSkr+59nlZQw8fHM8ePM6NGMouI/j2/YkDl0iKmo+P1Bvb29VVRUAKB+/foXLlwQ0I+Gau3OnTukDKirq//sMT+sBAzD7Ny5EwBOnjwp4IxIKmAlEJ7g4GAAAOitqJhG3tO7d2e8vZmSkj96en4+c/w407YtU/Xcp09/8eD8SZMmkXeZfv36ffz4kV8/BeKXsrKyOnXqkDPF1NTUnz3sZ5Xg06dPADBmzBgBx0RSAe8TCM+gQYNGjdoEEF5Sol2/fuG5cxAXBxMnwh82FKhbF2bPhufP4dgxqF8f4uOhRw84e/YHj3z06JGenp6Xlxebzd66devdu3ebNWvG358F/T0Oh0OaUTs7Ozdp0qSmT2/atGm9evXevHkjgGhI6mAlECp//41KSlcBPPLymvXs+aEWd21lZWHOHHj2DAYNgpISsLODXbv+/S6Px9u/f3+vXr1ev37drFmz8PDwDRs2YGt7EbRp06YXL14AgKGhIVmVrBZUVFRwBBHiC6wEQiUjw376VF9WdgaP961v37617kKhqQnXrwNZxmrtWti9GwAgIyNj8ODBy5cvr6iosLa2TkxM7NOnD/+yI75JSUnZunUrACgoKMTExNR6P4WFhXXr1uVfLiS9sBIIW6tWTUmD0k+fPs2YMaPW+2GzYffuf2rAmjWwevVNDocTEhKiqKh48uRJf3//+vXr8ysz4i8ykAwAYmNja33GlpqampeX17ZtW/7lQtILKwEF06dPt7S0BAA3N7cbN278za5WrQIHh3KA5Xv2WGZlZXXr1u3Ro0czZ87E6QIiq3///oWFhQCwdOlSXV3dWu/Hy8sLAAYNGsSvYEiaYSWg48qVK2SK7+jRo/Py8mq9n1evXoWF9QLYDwC9es2/f/9+586d+ZYS8Zunp2doaCgAtGzZ0snJqdb7uXv37rZt21q1ajVx4kT+pUPSC1uP0SErK3vnzh09PT3ShSI+Pr4WO/H09Jw3b15RUVH9+upz557ZsWME33MiPsrNzSVdaWVkZJ49e1aj5964cePFixeVlZWZmZl37969detWixYtLl++jEvZIL7ASkCNrq7upk2bNm/enJCQsGnTpi1btvz5c/Pz8+fNm3f27FkAMDEx8fb2btq0qcCSIv7o0qULGSNw4cKFn3WV+JmNGzcCgJycnLq6erdu3Q4ePDh16lS8XYz4hvaEhhoT35llP9S9e3cAYLFYjx8//sOn3L9/v3Xr1gAgIyOzbdu2yspKgSZEfFG1RsXIkSNpZ0Hoe3ifgLKwsDBFRUWGYQYMGEDmGf0Cj8fbu3dv7969375926JFi4iIiPXr1+N0AdEXFhZGpgrXr1//4sWLtOMg9D2sBJSpqqoGBgYCwNevX62srH7xyPT0dEtLy1WrVpHVDRMSEnr16iWsmKj2ysvLLSwsAIDFYj158oR2HIR+ACsBfYMHDyaXDoKDg0+fPv3Dx9y4cYPD4dy6dUtRUdHV1fXcuXNqampCTYlqS09Pj5ztOTk51aKrBEJCgJVAJJw6dYqsJDxnzpyPHz9W/1ZZWdmyZcuGDBmSnZ2to6MTFxc3Y8YMnC4gLrZt25acnAwABgYGS5YsoR0HoR/DSiAS2Gx2ZGSkrKxsZWVl9S4UKSkpxsbGBw4cAIBFixbdv3+/U6dOVJOiGkhJSSFjfuTl5e/du0c7DkI/hZVAVDRv3vzYsWMA8PHjx1mzZjEM4+7urqenFx8f36BBg8uXLx86dAgHj4uXqjWCoqOj8cY+EmVYCUTIjBkzyK3F06dP6+vrT506taioyMzMLDExcfjw4bTToZoxNzcnjUIXLVpU1WgIIdGElUC0XLlyhXzwj4+Pl5GR2bFjx61bt/A2o9jx9vYm65G1aNHi0KFDtOMg9Bs4x1iE8Hg8JyensrIy8k8tLa21a9fSjYRqITc3d8qUKQAgIyPz9OlT2nEQ+j08JxAVnz9/trCwWLNmDcMw2traAJCamlqjFhRIRHTt2pXc8/f39yfrSCMk4rASCJW7uzuLxXr06FHVlry8PENDQzk5uU6dOt25c0dJSen06dOpqakcDgcAtmzZkpCQQC0uqrnp06enp6cDgJWV1ahRo2jHQeiPYCWgKT8/f+DAgY8fP66oqMjPz9fV1Y2Li5s2bRqLxQoLC1NQUCBdKCorK2knRX8kMjLyzJkzAKCmphYUFEQ7DkJ/CisBNQUFBf369Xv06BGXywWAxYsX37t3r2PHjuS7ampqAQEBAJCbm/vrLhRIRFRUVJibmwMAi8VKTEykHQehGsBKQEdBQYGenl5iYiLDMA0bNrx69erBgwfl5eWrP2bo0KGTJ08GgBs3bpD+ZUiU6evrl5eXA4CjoyOZMY6QuMBKQEF6embr1q1fv34NAAMGDEhKSho6dOgPH+nm5kYWHpg1a1ZqaqpQU6Ka2LFjB+kup6ent2zZMtpxEKoZrAQUWFmNyMnJYbPZu3btCgkJ0dLS+tkj2Wx2VFSUjIxMZWVlnz59qrpQIJHy5s2b9evXA4C8vPyDBw9ox0GoxrASCA+Xy7169Sr5EoB1/PiZ1atXs9m/+RW0aNHiyJEjAPDhw4c5c+YIPiaqMT09PfJFREQEdpVA4ggrgZCkpaUNHDiQLEUgK2sEUH/x4hUvX778k+fOnj17wIABAODq6nrz5k3BBkU1NGjQoPz8fABYsGCBoaEh7TgI1QZWAmG4cuUKh8MJDQ2Vk5MDgP37nQFulJSU9Okz8NOnT3+yh+vXr9erVw8Ahg4dlZtbKNi46I/5+vqGhIQAQLNmzVxcXGjHQaiWsBIIVmlp6aJFi6ysrL58+dK9e3cyZ7hXL9by5YYAl3JysszMBmZnZ/92PzIycuPG3QJgcbkl3bqZCjw3+gN5eXl2dnYAwGaznz17RjsOQrWHlUCAnj9/3rNnT/JRcdmyZbGxsZqamuRbO3aAvv4AAN83b15bWlqSyws/8+kT9O8Prq49ANYAwOfPcdu3bxdCfvRrXbp0Iffwz58/j10lkFjDSiAQDMOcOnVKX18/KSmpUaNG165d279/f/XpAnJy4OsLKiqjAFwfP35sZWVVWlr6w11dvAgcDkREgIoKeHvv6NatGwBs3LgxKSlJSD8M+pHZs2enpaUBwNChQ62trWnHQeivYCXgv2/fvo0fP37mzJklJSXm5uaJiYlDhgz578PatYOjRwFgKovlGB4ePnbs2O+6SpSUwLx5MHo0fP0KPXpAQgJMnAjh4eGkC0X//v2xCwUtMTExJ0+eBIB69er9/3gwhMQZI25WrFgBAA4ODrSD/Fh0dHSLFi0AQFZWdu/evVwu99ePt7NjAJjmzZmvX/9n+5MnTJcuDAADwKxcyZSV/futqoY2Q4cO5f8PgH6nsrKS3PkHgA8fPtCOgxAf4DkB33C53O3bt/fr1+/Dhw+tW7eOjo5esWLFb6cLHDkCrVvDx48waxYwDAAAw8Dx49CjByQng4YG3LwJe/bA/7/zAABYWVmRG5XXrl3z8PAQ4I+EfqSqq8SePXuwqwSSELRLUY2J5jnBp0+fTExMyP/SiRMn5uXl/flz799nZGUZAMbVlfnyhRk16p9TAUtLJjPzx0/hcrlkITNZWdm0tDT+/AzoD+zZs4f8lnV1dWlnQYhv8JyAD4KCgjgcTnh4uLKysqenp7e3t6qq6p8/3dAQduwAAJg/H7p0gYsXoU4dcHKCa9egceMfP4XNZkdGRpIuFH379uXHD4F+7927d6tWrQIAOTm56otMICTusBL8lZKSkgULFowcOTI3N1dfXz8+Pn7SpEm12M/y5dClC5SXQ0YGtG0L9+7B0qXw6wtLrVq1cnZ2BoC3b99iFwrh0NXVJV+Eh4djVwkkSbAS1N6zZ8969uxJmgItX748JiamXbt2tdsVmw1nzwKLBW3bQlQU/H8bm9+YN2+emZkZAJw4cYKsn44EZ/DgwWTax9y5c42MjGjHQYifsBLUBsMwJ0+eNDAwePLkSePGjYODg/ft2ydX/a5uzXE4kJAAr16BhkYNnhUcHEy6UFhZWRUWYhcKQTl37lxwcDAANG3a9OjRo7TjIMRnWAlq7OvXr2PHjp09e3ZJScmgQYOSkpIGDRrElz3r6NT4KXJyciEhISwWq7i4uH///nyJgb6Tn59va2sLAGw2++nTp7TjIMR/WAlqJioqisPhBAYG1qlTx9HR8fr16xo1+gwvAIaGhitXrgSAhw8f7tq1i24YiVTVVcLPz4+cgSEkYbAS/Ckul7t161YTE5NPnz61bds2JibGwcHht9MFhGP37t1dunQBgPXr1+OHVv6aN28eWS3O0tJy7NixtOMgJBAi8UYm+j59+tS/f/9NmzbxeLzJkyc/fvzYwMCAdqj/ERERIS8vz+PxzMzMsAsFv9y7d+/YsWMAoKqqeuPGDdpxEBIUrAS/d/HiRQ6HExERoaKi4uXl5eHhUbduXdqhvqeuru7n5wcAOTk52BCNL7hcrqmpKfk6ISGBZhSEBAwrwa+UlJTMmzdv9OjRX79+NTAwiI+PJ20eRNPIkSPJjc3Lly97e3vTjiP2DAwMysrKAGD37t2tWrWiHQchAcJK8FNPnz7t0aMHuTiwcuXK6Ojotm3b0g71G15eXtra2gAwbdq09PR02nHE2L59+8h5gI6ODplXjJAEw0rwAwzDHD9+vEePHsnJyRoaGjdv3tyzZ89fThcQDjabTRZVr6iowC4Utfb+/XsyHEtOTu7x48e04yAkcFgJvpebm2ttbT137tzS0lJLS8ukpCQLCwvaoWqgTZs2Bw4cAIA3b97Mnz+fdhyx1L17d/LF3bt3sasEkgZYCf5HREQEh8O5ePFinTp19u/ff+3atcY/awInwhYuXEgaox49ejQ0NJR2HDEzbNiwb9++AcDMmTN79+5NOw5CwoCV4B+VlZWbN282MzNLTU1t167dvXv3li1bJiLTBWohODiY9EMdPnx4UVER7ThiIzAw8Nq1awDQpEkTsioZQtJAXN/p+Ovjx49mZmZbtmzh8Xj29vaPHz/W+8MmcKJKQUEhODiYxWIVFRWZm5vTjiMeCgsLx48fDwBsNjs5OZl2HISEBysBBAYGcjicqKiounXrnj171s3NTUVFhXYoPjA2NnZwcACAe/fuVa2vgn6hS5cuXC4XAHx8fLCrBJIqUl0JiouL58yZM2bMmG/fvhkaGiYkJJDx+BJj3759nTt3BoC1a9c+e/aMdhyRtmDBgo8fPwKAhYUFOTNASHpIbyV48uRJjx49Tpw4wWKxVq9eHRUV1bp1a9qh+K+qC4WpqSn5wIv+68GDB2SdCVVV1Zs3b9KOg5CwSWMlYBjmyJEjPXr0ePbsmaamZkhIyK5du+rUqUM7l0A0aNDAx8cHALKzs8eMGUM7jijicrn9+vUjX+PsASSdpK4SfPnyZdSoUQsWLCgrKxsyZEhSUpLE31AdPXo0udxx6dIlUhVQdT179iRdJXbu3NmmTRvacRCiQLoqQXh4OIfDCQoKkpOTO3jw4NWrVxs1akQ7lDD4+PhoamoCgL29fUZGBu04IsTJySkuLg4AunbtumbNGtpxEKJDWipBZWXlxo0bzczM0tLS2rdvf+/evcWLF7NYLNq5hITNZkdGRpIuFFVXQtDHjx+XL18OAHJycthtFEkzqagEHz58MDEx2bZtG8Mw06ZNi4uLq2onID3atm27f/9+AHj16tXChQtpxxEJHA6HYRgAuHXrFnaVQNJM8iuBv78/h8OJiYlRVVX19fU9ffq0ZEwXqIXFixeTtnSHDx8ODw+nHYeyESNGkK4SM2bMwPMkJOUkuRIUFRXNmjVr3LhxeXl5RkZGCQkJEyZMoB2KspCQELLMzrBhw4qLi2nHoebixYuXL18GAC0tLVdXV9pxEKJMYitBYmKigYGBq6sri8Vau3ZtREQELjYCAAoKCmQVxsLCwoEDB9KOQ0dhYSFZkZjNZj9//px2HITok8BKwDDM4cOHe/bs+eLFCy0trdu3b+/YsUNSpwvUQu/evZcuXQoAMTExjo6OtONQ0LVrVzLJzsPDA7tKIASSVwlycnJGjBixcOHCsrKyYcOGJSUl9e/fn3YokePk5NSxY0cAWLVq1YsXL2jHEaolS5Z8+PABAMzNzUV5LVKEhEmiKkFoaCiHw7ly5YqcnJyzs/Ply5cbNmxIO5SIioyMlJOT4/F4JiYmPB6PdhwhiYuLO3ToEACoqKjcunWLdhyERIWEVIKKior169cPGDDg8+fPHTt2fPDgwcKFC6VnukAtNGzY0MvLCwCysrLGjRtHO44wcLncPn36kK/JbDKEECEJleD9+/cmJiY7duxgGGbGjBmPHj3icDi0Q4mBcePGkU5EgYGB586dox1H4IyNjUtLSwFg69at7du3px0HIREi9pXg3LlzHA4nNja2Xr16586dc3V1VVZWph1KbJw7d05DQwMAJk+enJWVRTuOAB06dOjhw4cA0KlTpw0bNtCOg5BoEeNKUFRUNH369AkTJuTn5xsbGyckJEjJVQ4+YrPZ4eHhbDa7vLycTDqTSGlpaWS4VJ06dbCrBEL/Ja6VICsrS19f/8yZMywWa/369RERES1btqQdSix16NBh3759AJCSkrJkyRLacQSiW7dupKtESEiInJwc7TgIiRzxqwTkT9rHx+fly5fa2tp37tzZtm2brKws7VxibNmyZb179waAQ4cORUZG0o7DZ6NHj/769SsATJkyxdTUlHYchEQRi7yxipEuXbqQhRhbtmzp6OhoZWWFs8b+XnFxsYaGRmFhoYqKSlZWlqKiIu1E/HH58uURI0YAgIaGBrbjRuhnxO+cwMbGhnzx/v37MWPGaGpqTps27dq1a2SxEVQ7SkpKkteFoqSkZPTo0QDAZrNxGWeEfkH8zgkA4P379ykpKQEBAZcuXcrOziYbVVVVhw8fbm1tPWjQICUlJboJxdTixYudnZ0BwMnJidxiFWutW7d+9+4dALi5udnb29OOg5AIY0SPm5sbADx8+PC3j6yoqAgNDV2wYIGWllbVT6SkpDRmzBhfX9/8/HwhpJUwZKA9m81+8eIF7Sx/ZdmyZeT1YGZmRjsLQqJOFM8J3N3dp06d+vDhQwMDgz98Co/Hu3fvXmBgYGBgIOkqAwDy8vKDBg2ytrYePnx4/fr1BZZXomRlZTVr1qy8vFxDQ+Pz589stvhdPwSAhIQEshiRsrJyYWEh7TgIiTqx/Dv/Lzab3atXr/3797979+7Ro0dr1qxp165dWVnZ5cuXp0yZ0rhxY0tLS1dX16pLSehnGjdu7OnpCQCZmZliupwDl8s1NjYmX5PZZAihX5OQSlCFxWLp6+vv3Lnz5cuXSUlJmzZt6tq1a2Vl5c2bN2fNmqWpqdm/f/8jR458/vyZdlLRNX78eHKj1d/f39/fn3acGuvduzfpKrFx48ZOnTrRjoOQGJCQq0O/lpKSEhgYGBAQ8PjxY7KFxWIZGxtbW1tbW1u3aNGCL0eRJDweT0tLKysrS05OLjU1tVGjRrQT/anDhw+TVZo7duyIq9Ag9IekohJUeffu3YULFwIDA2NjY6s2GhgYkJLQrl07/h5OrD1//rxr1648Hk+M3lIzMjK0tbUZhpGVlS0qKsLpxAj9IUm7OvRrrVq1cnBwiImJSU1NdXFxMTExYbPZ5L5C+/btdXR0tm7dmpycLILVUfg6deq0e/duAHjx4oWDgwPtOH+ka9eu5Hd38+ZNLAMI1QDNgUs/8eejSP9eZmbmiRMnLCwsqver6NChw9q1a+Pi4ng8nhAyiLKqW69RUVG0s/wG6bANAHZ2drSzICRmpOvq0C/k5uZevnw5MDAwJCSkvLycbGzVqhW5cGRoaCim4yn/UnFxcePGjYuKiurWrZuVlaWgoEA70Y9dv3596NChANC4cePMzEzacRASM9L47vZD6urq9vb2V65cyc7O9vHxsba2VlRUfPfunaOjo7GxcfPmzRctWhQeHk5WQpceSkpK169fB4CCgoJBgwbRjvNjJSUlpLkQi8V6+vQp7TgIiR+sBN9TVVW1sbEJCAjIzs4OCAiwsbGpW7duWlqai4uLqamptrb2nDlzbt26VVFRQTupkPTr12/BggUAEBERQRYBFjXdunWrrKwEAFdXVzEa5oSQCKF9eeoHhHmf4E+UlJRcuXLF3t6++kTlqnOI0tJS2gGFgQyskpGRSUlJoZ3lf6xYsYL8Rvr160c7C0LiShTvE7i5uU2bNu3x48ekYYDoIG2OAgMDL168WL3z3bBhw6ytrS0tLSW4811GRkbz5s0rKiq0tLRSU1NF5K5JUlISWbNaSUkpPz9fRkaGdiKExJJI/D1/p6CgAABUVVVpB/lenTp1LCwsTpw4kZ6eHhYWtnDhQm1t7fz8fHJfoVGjRlWd72gn5T9NTU0PDw8ASE9PnzhxIu04AABcLtfIyIh8/ejRIywDCNUe7ZOSH7Czs1NWVq6oqKAd5Pe4XG5MTIyDg0P1tTPl5eWHDx/u7u6em5tLOyCfjRw5kvyMAQEBtLMwvXr1ImHWrl1LOwtC4k20rg4FBgaGhYUdOXJkxowZJ0+epB2nBhiGiY+PJz0tUlJSyEZZWdn+/fuPGTNm5MiRknEnk8fjaWpqZmdny8vLp6amNmzYkFaSY8eOzZs3DwDat2//8uVLWjEQkgyiVQlatWpVUFAwatSogwcPKisr045TGwzDJCcnk/7YT548IRvZbHa/fv2sra1Hjx6tra1NN+FfSk5O1tHR4fF4nTt3Tk5OppIBu0ogxF+iVQkkDOl8FxgYGBcXV7WxV69epCRUv6AkXvbu3btq1SoAWLFixd69e4UfoFGjRjk5OQAQEhIiMWttIkQRVgJheP/+Pel8FxMTU7VRX1+fTGAmy4SJFyMjo/v377NYrOjo6KqOFMIxfvz48+fPA4Ctre3Zs2eFeWiEJBVWAqFKS0u7ePFiYGBgREQEj8cjG7t160ZKQpcuXVgsFt2Ef6iqC4WqqmpmZqbQulDcvHnT0tISABo1apSVlSWcgyIk8bAS0JGVlRUUFBQYGHjnzh0yPxYA2rdvT0qCnp6e6JeEu3fvDhgwAABMTU1DQ0OFcMSSkhJVVdXKykoWi5WZmSkZN+EREgVYCSj7+vVrVee7srIysrFly5akJPTs2VNE5nD90Pz5848ePQoALi4upCOFQLVr1+7169cAcPLkyZkzZwr6cAhJD6wEoqKgoODatWuBgYHXr18vLi4mG5s0aTJq1Chra+u+ffuK5syptm3bvnnzRkZG5uXLl23atBHcgdasWUPWS+jTp09kZKTgDoSQFMJKIHKKi4uDg4MDAwOvXLlCplsDQOPGjUeOHGltbW1mZlanTh26Cav7/Plzy5YtKyoqtLW1P336JKAzmKdPn3br1g2wqwRCgoGVQHSVlZXdvn07ICAgKCjo69evZGP9+vWtrKysra0HDhwoIqsFeHt7T5o0CQQ2mIfL5datW7ekpAQAnjx50rVrV74fAiEph5VADFRUVISFhZHOd1UDZurWrUs63w0ePJh657sRI0ZcvnwZAC5dukSWCuCjvn37RkVFAcDq1at37drF350jhAArgXjhcrlRUVGBgYEXLlxIS0sjGxUVFYcMGWJtbT106FBabfsqKyu1tLRycnLk5eU/f/6srq7Orz27urrOmjULANq2bfvq1St+7RYhVB1WArHE4/EePHhAJjC/e/eObJSTk7OwsLC2traysuLje/Efevr0KYfD4fF4Xbt2rWqz8Zeys7M1NDRIV4n8/HxFRUW+7BYh9B2sBOKtqvNdYGBgVSM20vnO2tp65MiRjRs3FlqYXbt2rV27Fvh3Gadx48ZkHYjg4GCRXTsTIQmAlUBCMAzz7NkzUhKSkpLIRjab3bdvX9LmqEmTJkKIYWho+PDhQxaLFRsb27Nnz7/Zla2tra+vLwCMHz/ez8+PTwERQj+AlUACvXr1ipSER48eVW00NjYms9UE2vmusLBQQ0OjuLi4Xr16WVlZte4SeuvWLQsLCwBo2LBh1fJwCCEBwUogyT58+EA630VHR1dt1NPTIyWhQ4cOgjjonTt3zM3NAaB///537typxR7Ky8uVlZVJV4nPnz9ramryOyNC6H9gJZAKnz9/Jp3vwsPDqzrfde3alZSErl278rfN0dy5c48fPw4AR48enTt3bk2f3qFDB7Laz/Hjx2fPns3HYAihH8JKIF2ys7MvXbr0Xee7du3akZKgr6/Pr5LQpk2bt2/fysjIvHr1qlWrVn/+xHXr1u3cuRMAevXqVf1UBiEkOFgJpNTXr1+vXLkSGBh48+bNqs53LVq0ICXByMjoL/tGVHWhaNKkycePH/9wb1VdJRQVFQsKCrCrBELCgZVA2v2w8522tvbo0aP/svOdp6fnlClTAGDSpEmenp6/fTyXy1VVVSUZEhMTdXR0andchFBNYSVA/yguLr558ybpfJefn082NmrUiHS+69+/fy063w0bNuzatWsAEBQUZGVl9esHm5iYREREAL1FMRGSWlgJ0PdI57vAwMCgoKDc3FyyUU1NbcSIETXtfFdZWampqfnlyxcFBYX09HQ1NbWfPfL06dMzZswAgDZt2pBFCBBCQoOVAP1URUVFeHg46XyXmZlJNqqoqFR1vlNWVv7tTpKSknR1dRmG6datW9WUt+9gVwmE6MJKgH6Py+VGR0eTznepqalko6Ki4uDBg62trYcNG/brznfbt2/fsGEDAKxdu3bHjh3/fYCGhgbpsXrt2rUhQ4YI4CdACP0KVgJUAzwe7+HDh2QC89u3b8lGOTm5gQMHWltbjxgx4med7wwMDOLi4lgs1oMHDwwMDKp/a9KkSd7e3gAwZswYf39/Qf8ICKH/wkqAaoNhmISEBFISXrx4QTbKyMhUdb7T0NCo/viqLhRqamqZmZlVXSju3r07YMAAAGjQoEFOTo6QfwqEEIGVAP2tZ8+eBQQEVO98x2KxqjrfNW3alGysaiVkbm5+69YtwK4SCIkMrASIb16/fk3OEh4+fFi10cjIiMxWa9Wq1axZs1xdXeH/20h06tSJnE+4uLgsWLCAWm6EpB5WAsR/VZ3vYmJiql5g3bt3HzVq1IkTJ9LS0mRkZObPn+/s7AwARkZGsbGxVPMiJO2wEiABSk9PJ53vwsLCqjrfVaegoFBYWIhdJRCiCysBEobs7OygoCDS+a6ioqJqe3x8vK6uLr1cCCEArARIyL59+xYYGDhz5kyGYXA6MUIiAisBoqCysnLbtm0bNmyQlZWlnQUhBH/VeRih2pGVld2yZct3ZcDd3Z3FYlVfcZMwNTXt2rWrENMhJHWwEiCEkLTDSoAQQtIOKwFCCEk7vF+HREteXt53DYiqjzpFCAkCVgIkWszNzf+7sUuXLsJPgpD0wEqARMuRI0fat29ffYuDgwOXy6WVByFpgJUAiRZDQ8PvFjCoX78+NqxGSKDwjjFCCEk7rAQIISTtsBIghJC0w0qAEELSDisBQghJO+xFihBC0g7PCRBCSNphJUAIIWmHlQAhhKQdVgKEEJJ2WAkQQkjaYSVACCFph5UAIYSkHVYChBCSdlgJEEJI2mElQAghaYeVACGEpB1WAoQQknZYCRBCSNr9HwWoPcmdkVz/AAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.62, 0.4), 'T': (0.38, 0.72), 'U': (0.0, 0.6), 'J': (0.0, 0.2), 'H': (0.38, 0.07), 'K': (0.19, 0.34), 'Z': (1.0, 0.93)} radius = 0.0 connection_dict = {'D': ['T', 'H', 'Z'], 'T': ['D', 'U'], 'U': ['T', 'J', 'K', 'H'], 'J': ['U', 'H', 'K'], 'H': ['J', 'D', 'K', 'U', 'Z'], 'K': ['H', 'U', 'J', 'Z'], 'Z': ['K', 'H', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'J': (0.98, 0.5), 'B': (0.61, 1.0), 'D': (0.02, 0.81), 'X': (0.02, 0.19), 'V': (0.61, 0.0), 'U': (0.79, 0.56), 'N': (0.29, 0.72), 'M': (0.38, 0.32)} radius = 0.0 connection_dict = {'J': ['B', 'V', 'U', 'D'], 'B': ['J', 'D', 'M'], 'D': ['B', 'X', 'U', 'J', 'N', 'M'], 'X': ['D', 'V', 'N'], 'V': ['X', 'J', 'U', 'M'], 'U': ['D', 'J', 'V', 'N'], 'N': ['U', 'D', 'X'], 'M': ['B', 'V', 'D']}
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", 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<image>
# 顶点坐标 coordinates = {'N': (0.98, 0.5), 'C': (0.61, 1.0), 'J': (0.02, 0.81), 'Q': (0.02, 0.19), 'K': (0.61, 0.0), 'I': (0.61, 0.51)} radius = 0.0 connection_dict = {'N': ['C', 'K'], 'C': ['N', 'J', 'I', 'K'], 'J': ['C', 'Q'], 'Q': ['J', 'K', 'I'], 'K': ['Q', 'N', 'I', 'C'], 'I': ['C', 'K', 'Q']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (1.0, 0.5), 'V': (0.75, 0.93), 'K': (0.25, 0.93), 'F': (0.0, 0.5), 'O': (0.25, 0.07), 'B': (0.75, 0.07), 'E': (0.38, 0.72), 'L': (0.5, 0.5), 'I': (0.62, 0.72)} radius = 0.0 connection_dict = {'H': ['V', 'B', 'I', 'K'], 'V': ['H', 'K', 'E', 'F', 'L', 'O'], 'K': ['V', 'F', 'I', 'H'], 'F': ['K', 'O', 'E', 'V'], 'O': ['F', 'B', 'L', 'V'], 'B': ['O', 'H'], 'E': ['F', 'V', 'B'], 'L': ['O', 'V', 'E'], 'I': ['K', 'H', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.0, 0.07), 'I': (0.57, 0.07), 'F': (1.0, 0.93), 'B': (0.36, 0.93), 'H': (0.5, 0.5), 'J': (0.68, 0.93), 'C': (0.81, 0.77)} radius = 0.0 connection_dict = {'G': ['I', 'B', 'F', 'H'], 'I': ['G', 'F'], 'F': ['I', 'B', 'G', 'H', 'J', 'C'], 'B': ['G', 'F', 'J'], 'H': ['G', 'F', 'J', 'C'], 'J': ['F', 'B', 'H', 'C'], 'C': ['F', 'H', 'J']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.5, 0.67), 'W': (0.4, 0.16), 'B': (0.0, 0.84), 'Y': (1.0, 0.51), 'T': (0.56, 0.65)} radius = 0.5275252316519466 # 连接关系 connection_dict = {'O': ['T', 'Y'], 'W': ['B', 'T'], 'B': ['W', 'Y'], 'Y': ['B', 'T', 'O'], 'T': ['Y', 'O', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'X': (1.0, 0.5), 'C': (0.75, 0.93), 'N': (0.25, 0.93), 'L': (0.0, 0.5), 'R': (0.25, 0.07), 'K': (0.75, 0.07), 'A': (0.37, 0.28), 'W': (0.19, 0.39), 'I': (0.09, 0.9)} radius = 0.0 connection_dict = {'X': ['C', 'K'], 'C': ['X', 'N', 'A', 'R'], 'N': ['C', 'L', 'I'], 'L': ['N', 'R', 'W', 'A'], 'R': ['L', 'K', 'A', 'C', 'I', 'W'], 'K': ['R', 'X', 'A'], 'A': ['C', 'R', 'K', 'W', 'L'], 'W': ['L', 'A', 'I', 'R'], 'I': ['W', 'R', 'N']}
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/v79MJgsODra2tpa6QP3W3t5ubW3d0tLi7+9/4sQJqct5NuwJAMRy8+ZN3gxaVlbGV8aMGSOTyWJiYoYPHy5tbQZj/fr1LS0thJCdO3dKXUuXYE8AIISKioqkpCTG2NWrV/mKvb19VFQUpdTX1xfNoFqkUqmsrKwUCsXs2bNPnz4tdTldgj0BgCFTKBQZGRmMsaysLKVSSQgxNTUNCgqilAYGBpqZmUldoAHauHGjQqEghOzYsUPqWroKewIAA6RWq8+fP88Y2717d21tLV/08/OjlEZERDg6OkpanSFTqVQ2NjZPnjyZPn36999/L3U5XYU9AYBBKS4ujo+PZ4zduXOHr7i6uvJm0LFjx0pbmwgyMjL4cUzbt2+XupZuQBIAGIK6uro9e/Ywxk6dOsVXrKysQkNDKaXz5s0zNjaWtjxBqNXqv/71r4SQN954Y8KECVKX0w24OwSgx9rb248dOyaXy7/99lt+b9rIyGjBggWU0uDgYN1/oMnAHD9+PCAgwMLCoqioaMiQIVKX0w3YEwDopRs3bjDGEhMTHz16xFfGjRvHm0FdXFykrU1Y//Zv/0YI+fWvf61fMUCQBAD6pby8PCkpSS6XX79+na84ODhER0dTSqdNm4ZmUAl99tlnd+/eJYT8+te/lrqWbsPdIQA90NzcnJ6ezhg7fPgwbwY1MzNbvnw5pXTJkiVoBtUF9vb2jx8/Hj9+fF5entS1dBv2BAC6S61Wnz17ljGWkpJSV1fHF2fMmMGbQXX8oGOhbNu2jR/dum3bNqlr6QnsCUDvNTY2bt68+cKFCxcvXnz8+PHOnTvXrFmj+erXX3+dkJBw69at2traoUOHzps3749//KObm5tk5XZNUVERYyw+Pr6oqIivDB8+PC4ujlI6evRoaWuDn3Jycqqqqvrp+vnz52fMmNH39XQX9gSg96qqqjZt2jR8+HAvLy/NgZoaV69edXd3X7FihZ2dXXFx8ddff52ZmXn9+vWhQ4dKUewz1NbWpqamMsbOnDnDV6ytrcPCwiilc+bMQTOobpLL5ZoYePPNN319fTVf8vDwkKioblID6DmFQlFWVqZWqy9dukQI2blz51O+OScnhxDy0Ucf9VFxXdPW1nbgwIHw8HDNLDBjY+NFixYlJCQ0NjZKXR08w6BBgwghvF8oNTVV6nJ6AnsC0Hvm5uaDBw/u4jfz+0KaAxgkd+3aNcZYUlJSeXk5X5kwYYJMJouOjh42bJi0tUFXXL16lf+3W7du3R/+8AdCSENDg6WlZb9++nR11adaAXqsurpaqVTevXt306ZNhJAFCxZIW09ZWRk/GfTGjRt8xcnJiTeDent7oxlUL3zzzTcvvfTS/PnzCSHh4eHTp08nhLz00kuNjY2EkHnz5m3evNnHx0fiKrsGSQBCGDZsGD8v3sHB4X/+538WLlwoSRnNzc379++Xy+VHjhxRqVSEEDMzsxUrVshkssWLF5uamkpSFTwPPohm48aNdXV1ISEhgYGB//3f/11ZWZmbm/viiy+eO3fO29tb6hqfDUkAQsjKylIoFPn5+QkJCU1NTX387iqV6syZM4yx1NTU+vp6vjhz5kxKaXh4uJ2dXR/XA9oVHBzMTxmaOXMmIYQxplarv/3228mTJ69fv/7QoUNSF/hsSAIQgr+/PyFk6dKlK1eunDhxorW19euvv94H71tYWMibQUtKSviKm5sbPxnU09OzDwqA3qN5zDsyMvKnX/Xw8Fi5cuW+ffuUSqXuj4NGEoBYRo0a5e3tnZiY2KtJ8Pjx45SUFMbYuXPn+IqNjU14eDildPbs2WgGNQyJiYmEEDs7O39//44PE7S1tfHfuLq6tra2NjU1DRgwQJoSuwxJAMJpbm7mnxloXVtb2+HDhxlj6enp/C14MyildOXKlf379++NNwVJHD9+vLKykhDy+PFjJyenTl/lN4uKioosLCysra0lqK+bkARgyNrb2xsaGjreiL948WJubm50dLQW30WtVl+7dk0ulyclJfGrAyFk0qRJvBlU746lhK5Yu3Yt/80XX3zBn/qura0dOHAgIeStt95SKpXXr19PT09funSpXmwBkQRgCD7//PPa2tqHDx8SQjIyMu7fv08IeeONN9Rqtaura0RExIQJE6ysrHJzc3fu3Glra7thwwatvO/Dhw8TExMZYzdv3uQrzs7OMTExlFIvLy80gxqqM2fOFBQU8N/7+fnxVtH58+dbWlrOnDlToVBUV1fPnDmzf//+f/nLXySttMskfrINQBtGjBjx0z/bxcXFLS0t69atmzx58oABA0xNTUeMGPHyyy8XFxc/59s1NTUlJCQsWrRI8+Oeubl5eHh4ZmZma2urNv6BQKeNGzeOEMIHAV26dIkvfvbZZ35+fvxYwH79+sXGxhYUFEhbZ9fhBDqArlKpVKdOneLNoPzpIULI7NmzKaVhYWH8zgAYvHv37rm7uyuVypiYmMTExEuXLnV6fGzevHlVVVWabaJewN0hgGf78ccf4+Pj4+PjS0tL+Yq7uzulNC4ubtSoUdLWBn3sb3/7m1KpnDNnTkBAAG8fMgBIAoBfVFNTs3v3bsbY999/z1cGDBgQERFBKZ01axY+BhBQWVnZ119/TQjZuHHjvXv3pC5Ha5AEAJ21tbVlZWUxxjIyMlpbWwkhJiYmixcvppSuWLHC0tJS6gJBMiEhIS0tLX5+fvPnz5fL5VKXozX4nADgH9Rq9ZUrV/jJoJoHhby8vCil0dHRXT/uFAzV8ePHAwICCCHvv//+e++9J3U52oQ9AQC5f/8+bwb94Ycf+MrgwYNjYmLi4uK8vLykrQ10xPbt23/1q1/x3/OBBIYEewIQV1NTU1pamlwuP378OP8fwcLCYtWqVZTShQsX6tf58tBLWltbc3Nzjx49un79es2iiYlJSUmJi4uLhIVpF/6sg3BUKlV2djZjbM+ePZpzSefMmUMpDQ0NtbW1lbY8kFZbW1teXl5OTs7ly5dzcnJu3LjBPyvqSKlUFhYWIgkA9NLt27f5yaCaro9Ro0ZRSmNjY0eOHCltbSCV9vb2/Pz8nJwcfvW/du1ap2Op7OzsPD09L168qFkxMTHRmwHFXYMkAMNXXV2dnJzMGNP8z2xraxsRESGTyV544QU0g4pGqVTevn1bc+m/evVqc3Nzx2+wtbWdNm2aj48P/9Xd3b3jkDsTE5OvvvrKkDYEBJ8TgAFrbW09ePAgYywzM5MfFGxiYrJ06VJK6fLlyy0sLKQuEPqISqUqKCjI+T9Xr17tNK3I2tqaX/T51X/UqFEdj42rr693dXWtr69/+eWXY2NjPTw8DCwGCPYEYHjUanVOTo5cLk9OTq6uruaL3t7evBnU2dlZ2vKgD6jV6jt37mgu/VeuXGloaOj4Df379586darP//H09HzKiaFffPFFfX39mDFjvvrqK92fOdMz2BOA4bh3715CQgJj7NatW3xlyJAhsbGxcXFxkyZNkrY26FVqtbqkpERz6b98+XJdXV3Hb7C0tJwyZYrm0j9mzJguXtMbGxvd3d2rqqri4+NjY2N7p3zpIQlA7zU2Nu7bt08ul588eZL/eba0tFy9ejWlNCAgwFB/iBOcWq2+e/cub+/hl/6ampqO32Bubu7l5aW59I8bN65nbcErVqzIyMhwdXUtKioy4MZig/0HA4OnVCpPnjzJGNu7d++TJ0/44ty5c2UyWUhIiO7PC4RuUavVDx480Fz6c3JyOg6MJISYmpp6eXlpbvdPmDDB1NT0Od+0qqrqwIEDhJCAgAADjgGCPQHoo/z8fMZYQkICn0hDCPH09OTNoG5ubpKWBtpUVlam6evPyckpLy/v+NV+/fpNmjRJc+mfOHGiubm5dgsIDg5OS0szMTGpr6837OGjhpxyYGCqqqqSk5PlcnlOTg5fGThwYGRkpEwmmz59OppBDUBFRYXmbk9OTg4fQqdhYmIyYcIETXPn5MmTe7UBrLa2dv/+/YSQiIgIw44Bgj0B6L6WlpYDBw4wxg4cONDe3k4I6devX2BgIKU0KChI6z8GQl+qqqriF33+a6dzno2NjceNG6dp7vTy8urLK3JUVFRycrKJiUlNTY3B32zEngB0lFqtvnjxImMsOTlZ82HgtGnTKKVRUVFOTk7Slgc98/jx446X/pKSko5fNTIyGjNmjObSP2XKFGtra0nqbGxsTE1NJYSsXr3a4GOAIAlAB5WWlvJm0B9//JGvDB06NC4uLi4ubsKECdLWBt1VV1d35coVzT2fO3fudPoGT09PzaXf29tbRy67r7/+ulKpNDY25nNpDB6SAHRFQ0PD3r17GWMnT57kK/379w8ODqaUzp8/H82g+qKhoeHq1auaDp+CgoJO3zBy5EhNc6e3t7cOzn9ua2vLzs4mhISGhupgeb0BSQASUyqVJ06ckMvl+/bt0xz/4u/vL5PJgoODbWxspC0PnqmpqenatWuaS//t27c7ffo4YsQIzaV/6tSp9vb2UpXaRUlJSaWlpc7Ozjt37pS6lj6CJADJ5OXl8WZQTYvI6NGjZTJZTEzMiBEjpK0NnqK5ufn69euaS39+fr5Kper4Da6urh2P8XF0dJSq1B5oa2v74IMPCCFvvfWWwbcMaSAJoK9VVlbu2rVLLpdfuXKFr9jZ2UVFRVFK/fz80AyqgxQKxY0bNzR9/Xl5eUqlsuM3DB06tOOlX69Hev3ud78rLCy0trZeu3at1LX0HXSRQh9RKBSZmZmMsaysLE0zaFBQEKU0MDAQzaA6hQ/q0nT45Obm8v9kGs7Ozr6+vpqjm4cOHSpVqdrV3t5uZWXV2toaEBBw9OhRqcvpO9gTQO9Sq9Xff/89bwatra3li76+vpTSyMhI/bpvYMCeOajL0dFR80iXj4/PsGHDDHL39s4777S2thoZGW3fvl3qWvoU9gTQW0pKSuLj4xljhYWFfMXFxYU3g44bN07a2kAzqItf+n92UJfmbo+Pj8/w4cMN8tLfUXt7u42NjUKhmDt3Lu8dEgf2BKBl9fX1e/bsYYx99913fMXKyiokJIRSOm/ePDSDSqUHg7oM/tLfyYYNGxQKBSFEnJYhDewJQDuUSuWxY8cYY2lpafwSY2RkNH/+fEppcHCwVE+Kiuw5B3WJRqVSWVtbNzc3z5w58+zZs1KX09ewJ4DnlZubyxhLTEwsKyvjK2PHjuXNoK6urtLWJhTtDuoSzUcffcR/gtmxY4fUtUgASQA9VF5ezptBr127xlccHBx4M6iPj49oNxYk0WlQ15UrVzSfyXMWFhbe3t49GNQlGrVanZ6eTghZsGDBmDFjpC5HArg7BN2jUCjS09MZY4cOHeJN5aampkFBQTKZbOnSpWZmZlIXaMj6bFCXaI4cObJ48WILC4uSkhK9fhiix/CnBLpErVafO3eOMbZ7927NhNjp06dTSiMiIhwcHKQtz1BJMqhLNCqV6k9/+hMh5JVXXhEzBgj2BPBMRUVF/GRQzSmSrq6ucXFxlFIx99G9TfJBXaL59NNPf/e735mYmNy9e9dgHpHrLiQB/Ly6urrU1FTG2OnTp/mKtbV1aGgopXTu3Ln4pFGL+KAuzaVf2kFdArKzs6utrZ04cWJubq7UtUgGd4fgX7S3tx89elQul+/fv5/3VhsZGQUEBFBKV69ebWVlJXWBhqCLg7r4pb+PB3WJZsuWLfxj9m3btkldi5SwJ4B/uH79Om8G1dyOGD9+PG8GHTZsmLS16Tt9GdQlIEdHx+rq6rFjx+bn50tdi5SwJxDdo0ePkpKSGGPXr1/nK46OjtHR0ZTSqVOnohm0Z/R0UJdoduzYUV1dTQjZunWr1LVIDHsCQTU3N6enp8vl8iNHjvBmUDMzs+XLl8tksiVLlqD/pLsMYFCXgAYNGlRRUeHh4fHT/16iwZ5ALGq1+syZM4yxlJSU+vp6vvjCCy9QSsPDw3V/mJTuMLxBXaLJzMysqKgghGzZskXqWqSHJBDFnTt3+MmgxcXFfGXEiBG8GdTT01Pa2vSCYQ/qEhA/d9rX13fhwoVS1yI93B0ycLW1tSkpKYwxzaFaNjY2YWFhlNIXX3wRzaBPIdSgLtHcuHHDy8vLyMgoLy8PZ6QT7AkMVVtb25EjRxhj+/fv5+fOGxsbL1y4kFK6atUqdCX+LD6oS3PpF2dQl4A2bNhACAkLC0MMcNgTGBS1Wn39+nW5XJ6UlMTvgRJCJk6cKJPJoqOjceXqhA/q0lz6hR3UJZrMzMzly5cTQq5evTplyhSpy9EJSAIDUVZWlpiYyBjTPCfp5OQUExNDKZ0yZQquXxwGdYmmoIAMH046ncfh7u5eUlIyZMiQTo9ziwx3h/TbkydP9u/fzxg7cuQI/wDT3Nx8xYoVMpls0aJFaAbFoC6RKZVk+XLS1ETeeYf86leEH9Jx9OhR/mTf5s2bpS1Pp2BPoJdUKtXp06cZY6mpqZppJLNmzaKUhoWF2dnZSVuehDoO6rp8+fKVK1cwqEtYBQVk3jzCf+4fPJj8v/9HXnmFeHl5FhYWOjs7dzraT3BIAj1TUFAQHx8fHx+vObHAzc2NUhoXF+fh4SFpadLAoC54CoWC7NxJPvqI8LOd7OxaHz9+j5At//u/n7388stSV6dDkAT64fHjx7t372aMnT9/nq8MGDAgPDycUjpr1iyhLm0Y1AXd1dpKGCMffkj4szRGRtXvv+/w+uvE1lbqynQGkkCntbW1HTp0iDGWnp7O21qMjY0XL15MKV25cqWlpaXUBfYFDOoCrbh58/akSR8S8i4howkhAweSdevIunVE4Jup/4Qk0EVqtfrq1auMsaSkpMrKSr44efJkmUwWFRU1ZMgQacvrbRjUBb3htdde27Jly5gxEzZuvPnBB4SfPWpjQ954g7zzDhH8DEAkgW55+PAhHxCWl5fHVwYNGsSbQb28vKStrVeVlZV1vPRjUBdo14MHD0aOHNna2nry5Ml58+apVGTvXvL++yQ3l9jbk5ISYmMjdYmSwiZaJzQ1NX377beMsWPHjmmaQVetWkUpXbRokUHe6+jKoC7NpR+DuuA5vfvuu62trbNnz547dy4hxNiYhIWRkBCSnk7q6kSPAYI9gbRUKtV3333HGNuzZ09jYyNfnD17tkwmCw0NNbCDizGoC6TCTxkihOzZsyckJETqcnQRkkAat2/f5s2gd+/e5SsjR46klMbGxo4aNUra2rQFg7pAR/j6+ubk5FhZWdXX1wvVaNd1BnjbQZfV1NTs3r1bLpdfuHCBr9ja2kZERFBKZ86cqe9Pt2JQF+gg/pA5IeTtt99GDPwS7An6Qmtra1ZWFmMsIyOjra2NEGJiYrJkyRJK6fLly/W3GbTjoK7Lly//+OOPnb5BM6hr2rRpU6dONbD7XaAXZs2ade7cuf79+zc0NCAJfgn2BL1IrVZfvnyZMbZr1y5NH+SUKVMopdHR0fp4nD0GdYF+uXPnzrlz5wghb775JmLgKbAn6BX379/nzaD5vGmZkMGDB8fGxsbFxU2ePFna2roFg7pAr82bN++7776zsLBoaGgwyB48bcG/Gm1qbGxMS0tjjB0/fpxHrIWFxerVqymlAQEBevEHUaFQ5Obmai79GNQF+qu2tvbMmTOEkLVr1+rF/30Swr8dLVCpVNnZ2XK5fO/evZqTL+fOnUspDQ0N1fHPRbsyqEtzwweDukCPfPHFF0ql0sXF5W9/+5vUteg63B16Lrdu3WKMJSQkaLrjPTw8eDOou7u7tLX9EgzqAhE0NDS4ubnV1NQkJiZGR0dLXY6uw56gJ6qrq5OTkxljFy9e5CsDBw6MjIyklM6YMUPXrpsY1AUCeu+992pqajw9PSMiIqSuRQ8gCbqhtbX1wIEDjLEDBw5omkEDAwMppUFBQbpzHIJmUBe/9GNQF4imsrLy73//OyFkzZo1OJO8K3B36NnUavWlS5d4M6jmPOSpU6dSSqOiopydnaUtj2BQF8C/WrVq1f79+/v161dXV4djS7oCe4KnuXv3Lm8GvX37Nl8ZOnQobwadOHGihIV1a1DXtGnTRo8ejUs/CKKmpiYjI4MQEhUVhRjoIuwJfkZjY+PevXsZYydPnuT/fiwtLYODgymlCxYskGSziUFdAF0UFha2Z88eExOT2tpaHGbVRdgT/JNSqTx58iRjbO/evU+ePOGL/v7+lNKQkBCbvj24FoO6AHqgvr4+LS2NEBIaGooY6DpcOwgh5IcffuDNoA8ePOArnp6eMpksNjZ2xIgRfVNDVwZ1TZ48WXPpx6AugJ9au3atUqk0NjbeunWr1LXoE6GToLKykjeD8qMKCSF2dnaRkZEymczPz68P2mkwqAtAi9ra2tLT0wkhK1euxHGH3SJiErS0tBw4cEAulx88eJA/T9uvX79ly5ZRSpctW9arV1sM6gLoPfHx8Y2Njfb29l9//bXUtegZgZJArVZfuHCBMZacnPz48WO+6OPjQymNjIx0cnLqjTfFoC6AvtHe3v7hhx8SQtavX+/g4CB1OXpGiCQoLS3lzaCaA/SHDRsWFxcXFxc3fvx47b5XFwd18Us/BnUBaMuf//znO3fuODo6vvrqq1LXon8MOQkaGhr27NnDGMvOzuYr/fv3DwkJoZT6+/trq8lSM6iLX/oxqAug77W2tvINwbJly/DTVQ8YYBIolcrjx48zxvbt28dPWTAyMvL395fJZMHBwc//pwSDugB0zX/8x3+0trYaGRl98MEHUteilwzqybK8vDy5XJ6YmKj5JHbMmDEymSwmJmb48OE9flkM6gLQZe3t7dbW1i0tLf7+/idOnJC6HL1kCHuCioqKXbt2McauXLnCV+zt7aOiomQymY+PTw+aQTGoC0CPvPvuu/x43Z07d0pdi77S4z2BQqHIzMyUy+VZWVl8rpapqWlQUBClNDAw0MzMrFsvhUFdAPpIpVJZW1s3NzfPnj379OnTUpejr/RvT6BWq8+fP88Y2717t+bsHT8/P0ppREREF388x6AuAMPwpz/9iX8cuGPHDqlr0WP6tCcoLi7mzaCFhYV8xdXVlTeDjh079ul/LwZ1ARgetVrt7u5eWlo6ffr077//Xupy9Jge7Anq6+tTU1MZY6dOneIrVlZWoaGhlNJ58+b90mHLGNQFYPAOHz5cWlpqYWHBGJO6Fv2mu0nQ3t5+7NgxxlhaWppCoSCEGBkZLViwQCaTrV692srKqtP3Y1AXgFDUavWmTZsIIb/97W9Hjx4tdTn6TRfvDuXm5vJm0EePHvGVcePG8WZQFxcXzbd1fVAX/xWDugAMyZYtW1577TVzc/Pi4uIhQ4ZIXY5+06EkKC8vT0pKYoxdu3aNrzg4OERHR1NKp02bZmRkhEFdAKAxcODAurq6F198UXPfGHpM+rtDCoUiPT2dMXbo0CHeu2lmZrZ8+XJK6eLFix8+fJiTk5OamopBXQCg8fe//72uro4Q8vHHH0tdiyGQbE+gVqvPnj3LGEtJSeH/RQkh06dPX758uYuLi+aOPwZ1AcBPOTg41NTUjBs37ocffpC6FkMgwWW0qKgoPj6eMVZUVMRXHB0dx4wZY2xsnJ+f/95773X8ZgzqAoBOtm3bxn9G3LZtm9S1GIi+2xPU1dWlpqbK5fIzZ87wFRMTEzMzs04dPhjUBQBP5+zsXFlZ6enp+dPzH6Fnen1P0N7enpKSsnXr1vPnz3d6jlepVDY3N2NQFwB0HWOssrKSEPLll19KXYvh6N09waRJk27evPnTdVNTU3NzczMzM/4rOnwAoIsqKiqamppGjhz501kg0GO9uyfodKKDRltbW1tbW6++NQAYKnNz8127dkldhUHp+Z7gm2++eemll/jvzc3N7e3tJ02atGzZspdeesnGxoavHzx4MDMzc9WqVba2ttqpFwCEN2zYsI4PmWrwi9KlS5d8fHz6viq99rx7gk2bNrm7u7e1tT169Cg7O/vf//3fP/nkk/T09MmTJxNCAgMDAwMDtVEnAAD0ludNgqVLl2rid/369SdOnAgKClqxYkV+fr6lpeVzlwcAAL1Oyx/Vzp8/f8OGDaWlpQkJCdp9ZQAA6CXab9qJi4sjhBw5ckTrrwwAAL1B+0ng4uJia2uLBi8BNTY2/vGPf1yyZIm9vb2RkdE333zT6Rvy8/OXLFlibW1tb28fFxfHu8IBQHK90kVqbW3d6ZRQEEFVVdWmTZuGDx/u5eWVnZ3d6av379+fM2eOra3thx9+2NjY+F//9V+5ubkXL17s1sRpAOgNvZIEjY2Nzs7OvfHKoMuGDBlSVlY2ePDgnJwcX1/fTl/98MMPm5qaLl++PHz4cEKIn5/fwoULv/nmm9/85jdSFAsA/6T9u0P379+vq6vz8PDQ+iuDjjM3Nx88ePAvfXXv3r1BQUE8BgghAQEBo0ePTklJ6avqAOAXaT8J4uPjCSGLFy/W+iuD/nrw4EFFRUWn5338/PyuXr0qVUkAoKHlJDhx4sT777/v7u4eExOj3VcGvVZWVkYI6TRicMiQITU1NS0tLRIVBQD/8LyfE2RlZd26dau9vb28vPzEiRNHjx4dMWJEeno6zhOFjvjZ450OGOd/SJqbm3HwOIC0njcJNm7cSAgxMzPj5w59+umnHc8dAuD4A+edfvxXKBSaLwGAhHqeBGvWrFmzZo32KgFDxu8L8XtEGmVlZfb29tgQgLbgotRjGAwAfWHYsGFOTk45OTkdFy9evDhlyhSJKgKAf0ISQB8JCQnJzMy8d+8e/8vjx4//+OOPYWFh0lYFAKQv5xiDCD7//PPa2tqHDx9++eWXwcHB3t7ehJA33njD1tb23r173t7eAwcOXLduXWNj4+bNm11cXC5duoS7QwCSQxKANrm5uZWWlnZaLC4udnNzI4Tk5eX9/ve/P3PmjJmZ2bJlyz7++ONBgwZJUCUA/CskAQCA6PA5AQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAIDokAQCA6JAEAACiQxIAAIgOSQAAILr/D07VDgpZMjLcAAAAAElFTkSuQmCC", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.0, 0.32), 'I': (0.82, 0.32), 'A': (1.0, 0.68), 'H': (0.91, 0.5)} radius = 0.0 connection_dict = {'D': ['I', 'A', 'H'], 'I': ['D', 'A', 'H'], 'A': ['D', 'I', 'H'], 'H': ['A', 'I', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'D': (0.0, 0.36), 'K': (0.95, 0.36), 'G': (1.0, 0.64), 'C': (0.05, 0.64), 'I': (0.26, 0.58)} radius = 0.0 connection_dict = {'D': ['K', 'C', 'I'], 'K': ['D', 'G', 'I'], 'G': ['K', 'C'], 'C': ['D', 'G', 'I'], 'I': ['C', 'K', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'U': (0.5, 0.69), 'L': (0.0, 0.98), 'A': (1.0, 0.4), 'S': (0.08, 0.29)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['S', 'L'], 'L': ['A', 'U', 'S', 'O'], 'A': ['L', 'U', 'S'], 'U': ['L', 'A'], 'S': ['L', 'O', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'X': (0.98, 0.5), 'U': (0.61, 1.0), 'C': (0.02, 0.81), 'J': (0.02, 0.19), 'I': (0.61, 0.0), 'F': (0.14, 0.35), 'O': (0.88, 0.64), 'N': (0.89, 0.38)} radius = 0.0 connection_dict = {'X': ['U', 'I', 'O', 'N'], 'U': ['X', 'C', 'F', 'J', 'O'], 'C': ['U', 'J'], 'J': ['C', 'I', 'F', 'U'], 'I': ['J', 'X', 'F', 'N'], 'F': ['J', 'U', 'I', 'O'], 'O': ['X', 'U', 'F', 'N'], 'N': ['I', 'X', 'O']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.0, 0.15), 'C': (1.0, 0.15), 'F': (0.71, 0.85), 'A': (0.5, 0.15), 'M': (0.86, 0.49)} radius = 1.0 # 连接关系 connection_dict = {'O': ['C', 'F', 'A'], 'C': ['O', 'A', 'M', 'F'], 'F': ['O', 'A', 'M', 'C'], 'A': ['O', 'C', 'F', 'M'], 'M': ['C', 'F', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'F': (0.0, 0.15), 'C': (1.0, 0.15), 'L': (0.72, 0.85), 'E': (0.52, 0.65)} radius = 0.0 connection_dict = {'F': ['C', 'L', 'E'], 'C': ['F', 'L', 'E'], 'L': ['F', 'C', 'E'], 'E': ['F', 'L', 'C']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.32, 0.0), 'K': (0.68, 0.0), 'D': (0.68, 1.0), 'C': (0.32, 1.0), 'E': (0.5, 0.5), 'L': (0.5, 0.0)} radius = 0.0 connection_dict = {'G': ['K', 'C', 'D', 'E', 'L'], 'K': ['G', 'D', 'L'], 'D': ['K', 'C', 'G', 'E'], 'C': ['G', 'D'], 'E': ['G', 'D', 'L'], 'L': ['G', 'K', 'E']}
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", 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<image>
# 顶点坐标 coordinates = {'I': (0.25, 0.5), 'B': (0.5, 1.0), 'K': (0.75, 0.5), 'A': (0.5, 0.0), 'E': (0.5, 0.5)} radius = 0.0 connection_dict = {'I': ['B', 'A', 'K', 'E'], 'B': ['I', 'K', 'A', 'E'], 'K': ['B', 'A', 'I', 'E'], 'A': ['I', 'K', 'B', 'E'], 'E': ['I', 'K', 'B', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.15, 0.37), 'L': (1.0, 0.37), 'J': (0.85, 0.63), 'E': (0.0, 0.63), 'A': (0.5, 0.5), 'D': (0.92, 0.5), 'B': (0.67, 0.57)} radius = 0.0 connection_dict = {'H': ['L', 'E', 'J', 'A'], 'L': ['H', 'J', 'D'], 'J': ['L', 'E', 'H', 'A', 'D', 'B'], 'E': ['H', 'J'], 'A': ['H', 'J', 'D', 'B'], 'D': ['L', 'J', 'A', 'B'], 'B': ['J', 'A', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.1, 0.0), 'F': (0.9, 0.0), 'J': (0.37, 1.0)} radius = 0.0 connection_dict = {'L': ['F', 'J'], 'F': ['L', 'J'], 'J': ['L', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'B': (0.5, 0.69), 'N': (0.0, 0.98), 'U': (1.0, 0.4), 'W': (0.36, 0.13), 'X': (0.43, 0.41)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['W', 'U'], 'N': ['U', 'B', 'W', 'X'], 'U': ['N', 'B', 'W', 'O'], 'B': ['N', 'U', 'X', 'W'], 'W': ['O', 'U', 'N', 'X', 'B'], 'X': ['B', 'W', 'N']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.21, 0.5), 'G': (0.5, 1.0), 'C': (0.79, 0.5), 'E': (0.5, 0.0), 'A': (0.5, 0.5), 'F': (0.72, 0.62), 'B': (0.36, 0.5)} radius = 0.0 connection_dict = {'H': ['G', 'E', 'C', 'A', 'B'], 'G': ['H', 'C', 'F'], 'C': ['G', 'E', 'H', 'A', 'F'], 'E': ['H', 'C'], 'A': ['H', 'C', 'F', 'B'], 'F': ['G', 'C', 'A', 'B'], 'B': ['H', 'A', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'U': (1.0, 0.5), 'I': (0.75, 0.93), 'Q': (0.25, 0.93), 'B': (0.0, 0.5), 'N': (0.25, 0.07), 'F': (0.75, 0.07), 'R': (0.59, 0.66), 'A': (0.04, 0.56)} radius = 0.0 connection_dict = {'U': ['I', 'F'], 'I': ['U', 'Q', 'R'], 'Q': ['I', 'B', 'A'], 'B': ['Q', 'N', 'R', 'A'], 'N': ['B', 'F', 'R'], 'F': ['N', 'U'], 'R': ['B', 'I', 'N', 'A'], 'A': ['B', 'Q', 'R']}
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<image>
# 顶点坐标 coordinates = {'J': (0.0, 0.11), 'G': (1.0, 0.11), 'A': (1.0, 0.89), 'C': (0.0, 0.89)} radius = 0.0 connection_dict = {'J': ['G', 'C'], 'G': ['J', 'A'], 'A': ['G', 'C'], 'C': ['J', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'A': (0.0, 0.24), 'K': (1.0, 0.24), 'D': (0.85, 0.76), 'C': (0.5, 0.24)} radius = 0.0 connection_dict = {'A': ['K', 'D', 'C'], 'K': ['A', 'D', 'C'], 'D': ['A', 'K', 'C'], 'C': ['K', 'A', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'N': (1.0, 0.5), 'J': (0.75, 0.93), 'H': (0.25, 0.93), 'W': (0.0, 0.5), 'Y': (0.25, 0.07), 'P': (0.75, 0.07), 'Z': (0.37, 0.28), 'K': (0.11, 0.44)} radius = 0.0 connection_dict = {'N': ['J', 'P'], 'J': ['N', 'H'], 'H': ['J', 'W'], 'W': ['H', 'Y', 'Z', 'K'], 'Y': ['W', 'P', 'Z', 'K'], 'P': ['Y', 'N', 'Z'], 'Z': ['Y', 'P', 'W', 'K'], 'K': ['Z', 'W', 'Y']}
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", 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<image>
# 顶点坐标 coordinates = {'O': (0.28, 0.44), 'W': (0.5, 0.83), 'P': (0.21, 1.0), 'X': (0.79, 0.66), 'J': (0.24, 0.72), 'C': (0.33, 0.0)} radius = 0.4476584877806848 # 连接关系 connection_dict = {'O': ['J', 'P'], 'P': ['X', 'W', 'J', 'O'], 'X': ['P', 'W', 'J'], 'W': ['P', 'X'], 'J': ['P', 'O', 'X', 'C'], 'C': ['J']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'T': (0.98, 0.5), 'G': (0.61, 1.0), 'K': (0.02, 0.81), 'D': (0.02, 0.19), 'N': (0.61, 0.0), 'H': (0.61, 0.91)} radius = 0.0 connection_dict = {'T': ['G', 'N'], 'G': ['T', 'K', 'H', 'D'], 'K': ['G', 'D', 'N'], 'D': ['K', 'N', 'H', 'G'], 'N': ['D', 'T', 'H', 'K'], 'H': ['N', 'D', 'G']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'Q': (1.0, 0.5), 'K': (0.79, 0.87), 'A': (0.37, 0.87), 'I': (0.15, 0.5), 'D': (0.37, 0.13), 'F': (0.79, 0.13), 'O': (0.68, 0.68), 'H': (0.0, 0.23)} radius = 0.0 connection_dict = {'Q': ['K', 'F', 'O', 'A', 'H'], 'K': ['Q', 'A'], 'A': ['K', 'I', 'O', 'Q', 'H'], 'I': ['A', 'D', 'H'], 'D': ['I', 'F', 'O'], 'F': ['D', 'Q'], 'O': ['D', 'Q', 'A'], 'H': ['Q', 'A', 'I']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'B': (0.0, 0.13), 'G': (1.0, 0.13), 'F': (0.68, 0.87), 'A': (0.5, 0.13)} radius = 0.0 connection_dict = {'B': ['G', 'F', 'A'], 'G': ['B', 'F', 'A'], 'F': ['B', 'G', 'A'], 'A': ['B', 'G', 'F']}
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", 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<image>
# 顶点坐标 coordinates = {'N': (1.0, 0.36), 'K': (0.5, 0.64), 'O': (0.5, 0.07), 'L': (0.75, 0.5), 'Q': (0.0, 0.93)} radius = 0.0 connection_dict = {'N': ['K', 'O', 'L', 'Q'], 'K': ['N', 'O', 'L', 'Q'], 'O': ['K', 'N', 'L', 'Q'], 'L': ['K', 'N', 'O'], 'Q': ['O', 'N', 'K']}
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"path": null } ]
<image>
# 顶点坐标 coordinates = {'A': (0.0, 0.21), 'K': (1.0, 0.21), 'I': (0.0, 0.79)} radius = 0.0 connection_dict = {'A': ['K', 'I'], 'K': ['A', 'I'], 'I': ['A', 'K']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.5, 0.67), 'S': (0.4, 0.16), 'T': (0.0, 0.84), 'X': (1.0, 0.51), 'B': (0.7, 0.33)} radius = 0.5275252316519466 # 连接关系 connection_dict = {'O': ['B'], 'S': ['T', 'B', 'X'], 'T': ['S', 'X'], 'X': ['T', 'B', 'S'], 'B': ['S', 'X', 'O']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.5, 0.67), 'U': (0.4, 0.16), 'G': (0.0, 0.84), 'R': (1.0, 0.51), 'Z': (0.49, 0.61)} radius = 0.5275252316519466 # 连接关系 connection_dict = {'O': ['Z', 'U'], 'U': ['G', 'Z', 'O'], 'G': ['U', 'R'], 'R': ['G', 'Z'], 'Z': ['O', 'U', 'R']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'L': (0.0, 0.44), 'E': (1.0, 0.44), 'D': (0.93, 0.56), 'A': (0.07, 0.56)} radius = 0.0 connection_dict = {'L': ['E', 'A'], 'E': ['L', 'D'], 'D': ['E', 'A'], 'A': ['L', 'D']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'C': (1.0, 0.36), 'V': (0.85, 0.62), 'P': (0.54, 0.62), 'Q': (0.38, 0.36), 'U': (0.54, 0.09), 'W': (0.85, 0.09), 'F': (0.0, 0.93), 'Z': (0.5, 0.07)} radius = 0.0 connection_dict = {'C': ['V', 'W', 'F', 'P', 'Z', 'U'], 'V': ['C', 'P', 'W'], 'P': ['V', 'Q', 'F', 'C'], 'Q': ['P', 'U'], 'U': ['Q', 'W', 'Z', 'C'], 'W': ['U', 'C', 'F', 'V'], 'F': ['W', 'P', 'C', 'Z'], 'Z': ['C', 'U', 'F']}
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QCJiFj5B8wCaQH+fOnTt79qyysjIzDkhUDAwMmKuUOTk5Itws+qnHjx/fvHkTAFxdXXV0dEjH+U94eLiSktKZM2dwjk+5gU0gJ/h8PjOlhKOjo6WlpQi3zOFw9PX1AS8VSFxwcDAANGnShPlCelhaWjIXsZ2dnfl8Puk4SASwCeTE5s2bk5KSGjRowNw4JFp40VjyEhISjh8/zmaz4+LipHCmhJUrVxoZGb1+/XrLli2ksyARkLpPGKqDL1++MLf3BQcHi+M0Ag4uk7CKigrm1q9FixbVf2ygOOjo6DBHKn5+fvjBkAPYBPJg5cqVBQUFnTt3nj17tji2j8cEEjZ79uzXr1+rqamJZGygmMyZM6dTp04FBQW+vr6ks6D6wiaQeU+ePNmxYwcAREVFiWkOAGwCSfrw4QMz6fSoUaOYxSGkE4fDYZa33LFjx7Nnz0jHQfWCTSDbaJp2cnKiaXrq1Kn9+vUT016wCSTJxsaGpmlVVVVmDmpp1r9//ylTplAUxXwIScdBdYdNINtOnDhx7do1LpcbGhoqvr1gE0jM2bNnHz9+DAB+fn7q6uqk4/xcaGgol8u9evXqyZMnSWdBdYdNIMPKyspcXV0BwN3dvUmTJuLbES5WIzG//fYbABgbG69YsYJ0lhoxNzd3c3MDgOXLl5eXl5OOg+oIm0CGhYeHp6SkmJmZMYsViw8eE0jGqlWrmH/kAwcOkM5SCx4eHqampikpKeHh4aSzoDrCeYdkVXp6uqWlZWlpaXR09LRp08S6r2fPnnXs2NHIyAgPC8SnoqKiSZMmmZmZ3bt3v3fvHuk4tRMdHW1nZ6ehofHmzRtmWXkkW/CYQFZ5enqWlpb+8ssvtra24t5X5dRDFEWJe18Ka9OmTZmZmYaGhrK4ysq0adP69OlTUlIiKye10DfwmEAm3blzp3fv3iwW6/79+127dhX37vh8voqKCgB8+fJFJGseoG9kZWVZWloWFBTs2rVr7ty5pOPUxYMHD7p37w4Ad+7c6dmzJ+k4qHbwmED2UBTFzPry22+/SaAGAEBZWVlPTw/wUoHYjB07tqCgoEuXLswVY1nUrVs3JryjoyMeO8ocbALZc/DgwXv37mlqaq5evVpiO8WLxuJz5MgR5sKAs7Mz2fWB62n16tWampp37949dOgQ6SyodrAJZExRUZGnpycArFy5smHDhhLbLzaBmFAUtXDhQgBo0qSJvb096Tj1YmJiwkyA6OHhUVxcTDoOqgVsAhkTEhLy+fPnFi1aMCeIJAabQEzc3NyYNYGlZy2a+nBycmrRosXnz5/XrFlDOguqBWwCWfL+/Xvmlu3w8HBVVVVJ7hoHl4lDbm4uM3WPtbV17969SccRAVVVVWahpHXr1n348IF0HFRT2ASyxM3NjcfjDRkyZOzYsRLeNR4TiMOUKVOEQiGHw5GG1epFZdy4cYMHD+bxeMzYYyQTsAlkxpUrV06cOMHhcCIiIpjlJCUJm0DkHj16dPnyZQD4/fff5eneXBaLFRkZyWazjx8/fvXqVdJxUI1gE8gGgUDg5OQEAIsXL27Xrp3kA2ATiBxzos/Q0DAyMpJ0FhFr164ds9KOk5OTUCgkHQf9HDaBbNi5c2diYqK+vv6qVauIBMBly0Tr9u3bhw4dYrFY58+fl8LFKetv1apVenp6z54927VrF+ks6Ofk8CMof/Ly8lauXAkAAQEBzOLykofHBCIkEAgcHBwAYPbs2ZIZGyh5BgYGzIJr3t7eeXl5pOOgn8AmkAGrVq3Kyclp27Ytc+M5EUwTZGdn4/Qk9bd48eJHjx5xuVxmKWB5tWjRojZt2uTk5EjzGpyIgfMOSbuXL1926NBBKBTGx8cPGTKEVAwej8flcgEgNzeXmXkC1c2nT58aN25MUdSoUaPOnDlDOo54xcfHDxs2TElJ6dmzZ1ZWVqTjoCrhMYFUo2na2dlZKBSOHz+eYA0AgKqqqra2NuCQgnqzsbGhKEpZWZlZrFi+DR06dNy4cQKBwMXFhXQWVB1sAql25syZixcvqqiorFu3jnQWvFQgAlevXr1z5w4AeHh4MM0q99avX6+srHz+/PmzZ8+SzoKqhE0gvSoqKpjfpJydnVu2bEk6DjaBCNjZ2QGAgYEBqXvAJK9ly5bMDdDOzs4VFRWk46AfwyaQXhs3bkxOTjY2Nvb29iadBQCboN7CwsI+f/4MAHv27JHLO0er4uPj06BBgzdv3mzatIl0FvRjCvRxlC2ZmZnMHRchISFaWlqk4wDgkIL6EQgEzCm+jh07jhs3jnQcidLW1g4JCQGAVatW4XUm6YRNIKV8fHwKCwu7du06a9Ys0ln+hccE9bFjx46srCxtbe3jx4+TzkIAs6pSYWEhM201kjbYBNLo8ePHu3fvBoANGzZIz2kEbII6y83NZcYGhoSEtGjRgnQcAthsNjPr6q5du548eUI6DvqWtPyUQZVomnZ0dKRpevr06X369CEd5z/YBHU2derU3Nzcdu3aLViwgHQWYn755RdbW9vKjzfpOOh/YBNInaNHj964cUNNTU3a1vrAJqib06dPX7p0CQA8PDyUlJRIxyFp7dq1ampq169fl6dZuOUDNoF0KS0tZWZ19/T0bNy4Mek4/wMXq6kDiqJmz54NACYmJrK+OGX9NWnSxMPDAwBcXV3LyspIx0H/wSaQLuvWrUtNTW3SpImrqyvpLN+qPCbAQ/ua8/Pzy83NBYCDBw+SziIV3NzcGjdunJqaKg2DJVElnHdIinz8+LFVq1ZlZWVHjhyZMmUK6TjfKisrU1dXB4D8/HwdHR3ScWRAYWGhoaEhn8/v1avX7du3SceRFkeOHLG1tVVXV09KSjIzMyMdBwHgMYFU8fDwKCsr69ev36+//ko6yw+oqalpaGgAXiqosenTp/P5fGb1LtJZpMiUKVP69u1bWlrq6elJOgv6FzaBtLh58+bhw4dZLFZUVJTkF6esIRxcVnPPnz9nphqdPXt2o0aNSMeRIszyliwW69ChQ7du3SIdBwFgE0gJiqIcHR0BYO7cuZ07dyYdp0p4+1DNMefBtbS0tm3bRjqL1OnateucOXMAwNHRkaIo0nEQNoF02L9//8OHD7W1tYOCgkhnqQ42QQ09fPjwjz/+AIDz588r+J2jVQkODtbS0nrw4AHzD4XIwiYgr7CwcMWKFQDg6+trbGxMOk51sAlqgqKoZcuW0TRtZ2cnVWMDpYqxsbGvry8ArFixoqioiHQcRYdNQF5wcHBmZqaFhcXSpUtJZ/kJbIKacHZ2vnXrFpfLlbaxgdJm2bJlLVu2zMjIWL16Neksig6bgLC3b99GRkYCQHh4uIqKCuk4P4GDy34qOzt78+bNANCnTx+8RbJ6Kioq4eHhABAeHv7u3TvScRQaNgFhrq6uFRUVw4cPHz16NOksP4fHBD/166+/CoVCDodz9OhR0llkwJgxY4YNG1ZRUSGFQykVCjYBSfHx8adOneJwOBEREVJ75+jXsAmqd+fOnYSEBABYtmyZvr4+6TgygMViRUREcDic2NhYZnYmRAQ2ATECgYBZ1c/BwcHKyop0nBrBJqje1KlTAUBHRwenUqi5Nm3aLFmyBACcnJwEAgHpOAoKm4CYbdu2vXz50sDAwM/Pj3SWmqocWYaTlHxvy5YtqampALB9+3bpWVVCJvj5+enr67948WLHjh2ksygonHeIjJycHAsLi7y8vC1btixevJh0nJoqKSnR1NQEgKKiIuYLxKAoytjYODs7u3Xr1q9evSIdR/Zs2bJlyZIl+vr6ycnJeGJN8vA3FzL8/f3z8vLat28/f/580llqQUNDQ01NDfAE0Xf27duXnZ2tpqaGM+/XzYIFC9q1a5ebm+vv7086iyLCJiDg+fPnW7duBYDIyEiZG4CKlwq+Vzk2MCgoqG3btqTjyCQlJSXmduotW7a8ePGCdByFg00gaTRNOzk5CYXCSZMmDRo0iHScWsMm+N6cOXOysrIsLS0dHBxIZ5FhgwcPnjhxolAodHZ2xrPWEoZNIGmnT5++fPmyiopKWFgY6Sx1gYPLvhEfH89MOr1y5UrpHxso5datW6eiohIfHx8XF0c6i2LBJpAoHo+3fPlyAFi+fHnz5s1Jx6kLPCb4xsyZMwHA0NAQF6esv+bNm7u4uACAi4sLj8cjHUeBYBNIVFRU1Lt370xMTJjTyrIIm+BrISEhGRkZALBv3z7SWeSEl5dXw4YN3759u2HDBtJZFAg2geRkZGQEBgYCwJo1a7S0tEjHqSNsgkplZWWrVq0CgM6dO8vEZCEyQUtLi5m5LzAwkGlZJAHYBJLj5eVVXFzco0cPmT6NgMuWVZo5cyaPx2OxWLg4pWjNmDGje/fuRUVF3t7epLMoCmwCCXnw4MHevXsBICoqSqYHoOIxASM5OZkpgGnTpjVr1ox0HLnCZrOjoqIAYO/evQ8fPiQdRyHI8I8kGULTNLM4pb29fa9evUjHqRdsAgDYt2+fpaUlc6djdHQ0i8VisVi4PrsI9e7d287OjvnGwTtKJUDGhjXJqJiYmFu3bqmrq8vB0iXYBACQlpbGfOHq6tqxY0fm63bt2pFLJIfWrFlz8uTJmzdvHjlyxNbWlnQcOYfzDoldSUlJ69at09LSgoKC5OC8Z2FhoY6ODgCUlJSoq6uTjkMATdNt27Z99erVoEGDLl++TDqOPAsKClq5cqWZmVlSUpJiftgkBs8OiV1oaGhaWlrTpk2ZG6VlnZaWFjN+SmEPC7y8vJg55pYtW0Y6i5xbvny5ubl5WlpaaGgo6SxyDptAvP755x/mQxwWFsbM3SbrWCyWIp8gKiwsrFx7QFNTM/srZIPJJTU1NWYofmhoKDPjNxITbALx8vDwKC8vt7a2trGxIZ1FZBS5CaZOnSoQCJgF5oYMGWL0FdLR5NPkyZP79+9fVlbm4eFBOos8wyvGYnTjxo0jR46w2ezIyEiZWJyyhhR2SMGTJ0/Onz8PANbW1gkJCZs3b7a0tCQdSs6xWKyoqKguXbrExMT8/vvv/fr1I51IPmETiItQKGTuHJ0/f36nTp1IxxElhT0m+PXXXwFAQ0PD3t4+ISGhR48e3bp1Ix1K/nXq1Gn+/Pk7duxwdHS8f/8+h8MhnUgO4dkhcdm7d+/jx491dHSYGSbkiWI2wf79+9++fQsAUVFR+MNIwgIDA7W1tR8/fozzO4kJNoFYFBQUeHl5AYCfn5/8nUFWwCagaZq59at58+Zz584lHUfhNGjQgFnu28vLq7CwkHQcOYRNIBaBgYFfvnxp1arVkiVLSGcRPQVsgsOHD+fm5iorKx89epR0FgXl4OBgaWmZlZUVFBREOoscwiYQvTdv3jAT6kZERMjl0iWKtlhNSUmJu7s7APj7+3fp0oV0HAWloqISEREBAJGRkcnJyaTjyBtsAtFbvnw5n88fNWrUyJEjSWcRC0U7JnB2dk5PT5ebsYGyi/me4vP5zHJPSJRoRNPMLKGqqqppaWlfP25tbd22bdtabercuXMAoKSk9Pr1a5FmlCJJSUkAoKWlRTqIJNy4cYP5Ttm3bx/pLIh+9eqVkpISAFy4cIF0FrmCxwT/4fF49Zwhjs/nOzs7A8DSpUtbtWololxShzkmKCoqUoT1BadNmwYAurq6M2bMIJ0FQevWrR0cHADA2dmZz+eTjiM/sAn+06lTp507d3769KnOW9iyZcvr168NDQ19fX1FGEza6OrqMr+Xyf0Joo0bNzLTju7cuVOmV5WQJ76+voaGhi9fvty2bRvpLPIDP9z/8fLyEgqFdT4syM7O9vf3B4Dg4GBdXV0RBpM2CjL10Pv3711dXQGgTZs2kydPJh0H/UtPT4+5fcjX1xenexIVbIL/NGvWbObMmXU+LPD19c3Pz+/YsaMi3G8u902we/fuFi1aVFRUwP+fIELSY968eR06dMjPz2cGGaD6wyb4H97e3gKBYO3atbV947Nnz7Zv3w4KMwBVvpsgLS1t/vz5lX/09fVdt25dXFzc/fv3P378qAhXR6Qch8Nhlrfctm1bYmIi6TjyAOcd+h/NmzefMWPGjh07PD09TUxMavgumqadnJwoipo8ebK1tbVYE0oJ+W6C5ORk+qsVnGiadnNz+/oFurq6DRs2NDY2NjY2/v4LY2NjuRxHIlUGDBhgY2Nz/PhxJyenS5cuydMMj0RgE3zLx8fnwIEDa9asYX7pqImTJ09evXpVVVWVmUtdEcj34DILCwsW67/l/Fgs1sCBAwsKCjIzMzMzM/l8fn5+fn5+/uvXr6vagp6e3g9LgvmiQYMGWBX1FxYWFhcXd+XKlVOnTk2YMIF0HNmGTfCt5s2b29vbM4cFNXl9eXk5c13Rzc2tadOm4g0nNeT7mMDMzGznzp0LFy4UCoUcDmf79u2V135oms7Ly8vMzMzIyGCK4fsvBAJBXl5eXl5eNVWhr69f1SFFw4YNGzRooKysLKm/rqxq1qyZq6trcHDw8uXLR4wYweVySSeSYdgEP+Dj43Pw4MEaXi2IiIj48OGDqalpDZtDPshxE1y8ePH69euenp7Dhw9/+/Zty5YtzczMKp9lsVj6+vr6+vpWVlY/fDtFUUxVVNUWWVlZAoEgNzc3NzeXWQXzh/T19as5AYVVwfD09Ny7d+/79+8jIyMV6htQ5LAJfqBFixb29vbbt283NzdnbpyvyqdPn4KDgwFg7dq1GhoakgpInrw2AZ/PX7ZsWVJSEpvNDggI+LoDaojNZhsYGBgYGLRp0+aHL2CqoppDiszMTKFQyFTFy5cvq9qRgYFBNSegjIyMFKEqNDU116xZM3PmzKCgoFmzZtX82h76BjbBj3l7ex84cCApKalt27bVvGzFihUlJSW9evWaPn26xLJJA3ldtmzz5s1JSUlGRkbim9mmsiqq+mhRFJWbm1vNCaisrCyhUJiTk5OTk1NNVRgaGlZzAsrIyKj633JkhZ2d3ebNm+/evevl5cVMG4PqgPX1PRIKa9++fbNnz75///7XS1D99ttv+/fvb9u27fPnz3/4rrt37/bq1Yv5okePHhLKKh1ev35tZWWlq6ubl5dHOovIfPnyxcLCoqCgYOfOnfPmzSMdp0oUReXk5FRzAurLly9CobD6jbBYLAMDg2pOQMlQVVR+J967d6979+6k48gkbII6oiiqT58+d+/enTVrlgKuo5STk2NoaAgAFRUVcnMWYvHixdu2bevcubOsL5HIVEU1J6CysrIoiqp+IywWizmqqOYElPT8K82aNeuPP/7o1avXrVu38I7SOsAmqKODBw/OmDFDU1PzzZs3Cnh2kqIoFRUVoVD46dMn+fjrP336tEuXLhRFXb9+Xe6XTWdOLlVTFV++fKlJVRgZGVVzAsrQ0FBiVfHp0ydLS8uSkpKDBw/a2dlJZqfyBJugLoqLi1u1avXp06eQkBCFvWPB2Ng4KyvryZMnHTt2JJ1FBEaNGnXu3LkpU6YcOXKEdBbyhEJhdnZ2Ndcqvnz58tMfHWw2u/qqMDAwEGFVrF692tvb29TUNCkpSaFu3xAJbIK68PHxCQ4Obtas2cuXLxX2LuZ27dq9ePEiPj5+yJAhpLOIQGpqqre3d1BQkLm5OeksMkAgEDBVUVVbZGdn17AqqrlWYWhoWPMpYMvLy62srFJSUlauXBkQEFDvv6JiwSaotQ8fPlhZWfF4vBMnTkycOJF0HGIGDhyYkJAQHR2NE7Sh7zFVUc0JqJpUBYfDYY4qqmoLAwODr6vixIkTNjY2XC731atXijPMUyRk494AqeLu7s7j8QYNGqTgA9zlZkjB58+f5eNSh1RRUlJq2LBhw4YNq3qBQCD48uVLNSegsrOzhUJhRkZGRkbG06dPf7gRDofToEGDr8dmt2jR4t27d4MGDXr48KGenp7Y/n7yBpugdpKTk48dOwYALi4uCn6Lgnw0QXp6eqtWrcaMGbNr1y5NTU3ScRSIkpKSiYlJNR3M5/OZqqiqLXJycoRC4efPnz9//vzNez98+DB8+PB79+6J+S8hP7AJasfExERFRaWiomLWrFlPnz41NTUlnYgY+RhcxowN/PjxI15jlDbKysqNGjVq1KhRVS9gquKbkti7d29BQQEAzJ49W4JhZR+JxZNlW2hoKPNPZ2lpyePxSMchZvPmzQAwadIk0kHq7vbt28x/5f3790lnQSJw7do15j+0d+/epLPIGFypptZcXFyYKWXMzMwUeW5hWT87RFGUo6MjAPz2229fjy1Hsmv8+PEAwGKxLl++TDqLjMEmqDUOh7N161YASEhIqOpCliKQ9SY4ePDgvXv3NDU1V69eTToLEoG1a9fm5+cDgJOTk5qaGuk4MgaboC769+8/ZcoUiqKcnJw+ffo0Z86c4uJi0qEkTaYXqykuLmaGBPr4+OCNQ3JAKBR6e3sDgJqaWnh4+PcvGDdunLq6elFR0fdP2dnZqaio5OTkiD2lFMMmqKPQ0FAul5uQkGBtbb13795x48aVlZWRDiVRTBPk5uYKBALSWWrtzZs3LBarRYsWTk5OpLMgEZg4cSIz6d6hQ4d++AI7O7uysrKTJ09+83hpaempU6dGjBhhYGAg9pRSDJugjszNzd3d3QGgpKRES0vr6tWrkyZNUqi1zg0MDJj7aGXxl6kuXbokJSXFxsaqqqqSzoLqKzc39+zZswDQtGnTqgZ7jhs3TktLKzo6+pvHT506VVJSglMVYRPUnbu7u6mp6efPn21tbdXV1c+fPz916lQ+n086l4RwOBx9fX2Q2UsFmpqa7dq1I50CicCUKVOYdUbv379f1WvU1NQmTZp0+fLlb85nRkdHa2lpjRs3TvwxpRo2Qd1paGgwd5RGR0fv2bNHVVX11KlTM2bM+OnU8HJDFocU3LhxY//+/T+daBPJiuvXrzN3Cv3+++/MTOlVsbOzEwgEf/75Z+Ujubm5Fy5cmDhxIl5hxvEE9cKsUgAAM2bMOHPmDDNTv6enJ+lcEtK/f38AOHLkCOkgNcXn8zt06AAAa9asIZ0FiQYzJFBDQ0MoFFb/SoFAYGJi8vVQg23btgHAhQsXxJxRBuAxQb2wWKyoqCgAOHDggL6+fkxMTJs2bZYsWUI6l4TI3I2ku3btevbsmZ6enjQvSYZqzsPDo6SkBADc3d1/Omsph8OxtbW9fft2SkoK80h0dLSxsfHgwYPFnVP6YRPUV7du3Zhx7Y6OjhMmTHjy5EkdlkGXUbLVBHl5eT4+PgAQEBCg4DeKyIeKiop169YBgLa2tq+vb03ewlwZZq4bp6Wl3bhxw9bWVnpWXiMIm0AEVq9erampee/evUOHDlUu5XjkyBE/Pz+ywcRNtpogICAgJyenbdu2ixYtIp0FicCwYcOY6z3f3xtala5du7Zu3frw4cMAcPjwYZqm8a6hf5E+PSUn1qxZAwAmJiZFRUU0Tb9+/Zo5Vg0KCiIdTYw2bNgAAJMnTyYd5OdevnzJrM9+8eJF0lmQCCQlJTE/wVq3bl2rNwYGBgLA06dPO3XqZGFhIaZ4MgePCUTDycmpRYsWnz9/DgkJAYBWrVox3eDj4xMREUE6nbjI0DHB8uXLBQLBuHHjhg4dSjoLEoGBAwcyX1y/fr1Wb2QOAnx9fZ88eYIHBP8hXUXyIzY2FgBUVVXfvXvHPOLv78/8I2/dupVsNjG5dOkSALRp04Z0kJ/7+++/+/Tp8+bNG9JBkAgwHzyo6/Eoc78fACQnJ4s8m4zCJhAZiqKYFX0rJ2qmKMrDw4P5zO3bt49sPHFgJuAzMjIiHQQpFmaqKE1NTYFAUIe3MxOq9+jRQ+TBZBc2gSglJiYylweuXLnCPEJR1NKlSwGAzWbfvXuXbDyRY9aKYrPZP72Vm6CysjLSEZAoVS4QEhsbSzqL/MAV7UXMwcFh8+bNHTp0ePjwIXOJkqKohQsXamhoREREyNmCl3w+n1mh4cuXL9UP7yQlKyurQ4cOCxYs8Pb2ximG5EBxcbGenp5AIOjQoYMizwkvctgEIpaTk2NhYZGXl7d169bKuxUpimKxWHJWAwx9ff28vLyXL19aWVmRzvIDCxYs2LlzZ9euXe/du/fTkUdI+nXt2vXRo0cAkJyc3LJlS9Jx5Ad+b4iYgYFBQEAAAPj4+OTl5TEPstlspgZ4PN706dMTEhIIJhQtab596PHjx7t27QKAqKgorAE58PDhQ6YGOnfujDUgWvjtIXqLFi1q27ZtTk7OqlWrvnkqLCzs8OHDY8aMqVxBV9ZJ7Xo1NE07OjrSND1t2rRffvmFdBwkAiNGjAAAFotV2ztH0U9hE4iekpISM4Zg8+bNr169+vopV1fXIUOGlJSUjBgx4uHDh4QCipLUHhMcPXr0xo0bampqa9euJZ0FicCmTZuys7MBYN68eZqamqTjyBtsArEYOnTouHHjBAKBs7Pz11diuFxubGxsv379CgsLhw0blpiYSDCkSEhnE5SVlbm5uQGAp6dn48aNScdB9SUUCl1cXABAVVV1x44dpOPIIWwCcVm/fr2ysvKFCxeY1ZQqaWhoxMXF9ejRIzc3d8iQIZWD5mWUdDbB3bt3s7KyGjdu7OrqSjoLEgE7OztmDaidO3eSziKfsAnEpWXLls7OzgDg7OxcUVHx9VPa2trnz5/v1KlTVlYWc+hAKKMISGcTDBgw4NWrV9HR0erq6qSzoPoqLi4+fvw4AJiYmMyYMYN0HPmETSBG3t7exsbGycnJGzdu/OYpPT29ixcv9urVa/fu3cywAxkltcuWNW3atG/fvqRTIBGwtbUVCATM2EzSWeQWNoEYaWtrMxPSBQQEfH93jZGR0a1bt2T9p5W0HRM8evTo1q1bpFMgkXn27NmZM2cAYPbs2XjJR3ywCcRr1qxZXbt2LSwsZNZI+UblWLOnT58OHDhQen6e1pxUNQEznPuXX35hhhEgOcCskKqmpsasNInEBJtAvNhsNrO85a5dux4/fvzD11AUNWPGjISEhGHDhlUORpMVTBNkZ2dLwxrxf/zxx4MHD7S0tMaOHUs6CxKBoKCggoICAHBwcJDpk6jSD2ebkITp06cfPny4X79+165d++GcE69fv7a2ts7KyurZs2d8fLyWlpbkQ9YNj8fjcrkAkJOTo6+vTzBJYWGhpaVlZmZmWFgY3jIkB4RCoaqqqlAoVFdXZxYrRuKDxwSSsHbtWjU1tRs3bhw9evSHL2jduvWlS5f09fXv3r07evTo0tJSCSesM1VVVW1tbZCCE0SrV6/OzMy0sLBYtmwZ2SRIJMaMGSMUCgHgyJEjpLPIP2wCSWjcuLGnpycAuLm5lZWV/fA17du3v3jxora29o0bN8aPH19eXi7ZjHUnDZcK3r59y4zrXr9+PTM9KpJpqamp58+fB4BmzZqNGTOGdBz5h00gIa6uro0bN05NTV23bl1Vr+nateu5c+c0NDQuXbrETGMnE6ShCVxdXSsqKoYNG4Y/NeSDtbU188WNGzfIJlEQ2AQSoq6uHhYWBgAhISEfP36s6mV9+vSJi4sbNWqUl5eXBNPVC/EhBTRNT5w4sXHjxvK3AoRi+vvvv1NSUgBg1KhRpqampOMoBGwCyZkyZUrfvn3LysqYM0VVGTBgwJkzZyrn2JL+S/rEjwlYLNasWbPevXvXpk0bUhmQCNnb2wMAl8s9ffo06SyKAptAclgsVlRUFIvFio6OrsnoJ5qmAwMDFy5cKOVlQLYJKv9xlJWViQRAorVly5Z//vkHAPbs2cPhcEjHURTYBBLVpUuXuXPnAoCjo+NPb8B//vy5v7//zp07nZycpLkMCDZBbm5up06dDh48KM3/PqjmKioqmNm6WrduPW3aNNJxFAg2gaQFBQVpaWk9ePDgjz/+qP6V7du337NnDwBs2LBhxYoVUvvDjmAT+Pv7P3v2LDQ0lLndEMm6QYMGMdM1VnW/NRKXmi18j0SJuXRsbGxcUFDw0xdv3bqV+Z9atWqVBLLVwblz5wCgY8eOEt7v8+fPmbMHly9flvCukTi8fPmS+ahbWVmRzqJwsAkI4PF4FhYWAODh4VGT14eHhzPfIaGhoeLOVgcPHjwAgEaNGklypxRFDR06FAAmTpwoyf0i8TExMWE+5zk5OaSzKBxsAjL++usvAFBRUXn79m1NXh8cHMx8kzx58kTc2WqLub6nrKxMUZTEdnrq1CnmH/Ddu3cS2ykSn7179zKfcFtbW9JZFBHOO0QGTdMjR468cOHChAkTTp48WZO3rFy50tTUdNGiReLOVltlZWXMgjD5+fk6OjoS2COPx2vbtu27d+88PT2Zeb+RrONyuTweT1lZuaysDG8ZIoB0FSmuFy9eMJ/4+Pj42r5XKBRW82xsLD1nDi0Q1CNcLTGjH5KTkyWzu9jYWABo2LBhYWGhZPaIxGr27NnMj6MtW7aQzqKg8N4hYtq0abNkyRIAcHJyqtUCljk5Ob179z5x4sQPnz1yBCZPhj17YPdu0eSsCQnfPjR+/Pjr16/v3LlThiZtRVUpLy8/ePAgABgaGi5evJh0HAWFTUCSv7+/gYHBixcvtm/fXvN3bdy48d69e7a2tmfPnv3mqf37Yfp0EAjA3h7mzBFp1mpJ/kbSfv364RRD8mHGjBl8Pp/FYiUkJJDOoriwCUjS09MLDAwEAF9f39zc3Bq+a+XKlVOnTuXz+ZMmTbp8+XLl49u2wW+/AUXB/Pmwfz9IcmEPiTVBUlJSNbM2IZmTnJzMrFZva2vbtm1b0nEUFzYBYfPnz2/fvn1ubq6/v38N38LhcA4cODB+/Hgejzdu3DhmssbISGAOrJctg+3bgS3Z/1jJNAFN03PmzGnVqhVznQDJgT59+tA0zeVy9+3bRzqLQsMmIExJSSkyMhIAtmzZ8uLFixq+S1lZ+ciRIyNGjCgtLR09evTvv390dgYA8PCAyEiQ/HScTBNkZWWJdS8xMTG3bt1isVjdu3cX646QZERGRmZnZwPAnDlzcFUJwkhfskY0TdMTJ04EgKFDh9bqlvzS0tIBAwYCBALQAPSqVbQEb+j/H6GhoQBgb28vvl2UlJSYmZkBQGBgoPj2giRGIBAwSxNzuVzSWRDeOyQd1q1bp6KiEh8fz4w4qyEuV61du/MAPgAQGgq+vgSOBhgSODsUGhqalpZmbm6+fPly8e0FSczUqVOZW+Z2S/IuN1QV0lWE/rVixQoAaNGiRXl5eU1eLxTSixbRzNHAxo3/PlhRUSHGiFWLi4sDgC5duohp+//88w+XywWAo0ePimkXSJIqTySampqSzoJoGo8JpMeKFStMTEzevXu3YcOGn75YKIQ5c2DbNmCxYNcucHAAAIiLi2vXrh0z94OEiXvZMg8Pj/LycmtraxsbGzHtAklS3759mS/wzlEpgU0gLbS0tJiJEwIDAzMyMqp5JZ8Pdnawfz9wOHDwIMydCwAgFAq9vLzevHkzaNCg9PR0yWSuVHl2iBbD5CU0TTdv3lxNTS0yMhIXp5QDd+7cefPmDQAMGDCgZcuWpOMgAACcd0iKUBTVq1ev+/fvz5kzp6qTpzweTJ0Kp06BsjLExMCkSf89lZ6e3r9///fv37du3fratWvM7+mSUVJSwkw4UVRUVLnupmjl5ubq6+uLY8tIwiwtLZOTk5WVlYuLi/GWISmBxwRShM1mR0VFAcDevXuZqZ6/QdNgYwOnToGqKsTG/k8NAICpqenly5cbN278+vXrIUOG1HyoWv1paGioqamBOE8QYQ3Ih/379ycnJwPAli1bsAakBzaBdOnduzdzL+YPV6xkscDWFjQ14cwZGDXqB29v2rTp5cuXTUxMEhMThw0bVlBQIInQACCeIQUFBQVjx469e/euCLeJCBIKhb///jsANG/efN68eaTjoP9gE0idNWvWqKur37x588iRI98/a28P79/D4MFVvt3CwuLSpUuGhoYPHz7ctGmTGIP+L3HcSBoUFBQXFzdr1qyfrvmMZAIzFhIAfvjZRgRhE0gdU1NTLy8vAHBzc2O+bb5hZPSTLbRp0yY+Pt7JycnT01McCX9I5E2QnJzMnCsLDw9nS3j2DCQGHz58uHTpEgC0aNGiW7dupOOg/4HfYNLIxcXF3Nw8LS2NGbtbB506dYqIiGDWPxAKhcwq4WIl8iZYvnw5n88fOXLkqB+eCEOyZsCAAcwXzExZSKpgE0gjNTW1devWAcDatWtTU1PrsymBQDBr1ixm7lIRpfsx0TbBhQsX/vrrLyUlpco1nJFMO378OPNJHjduXOV6xUh6YBNIKRsbG2tr6/Lycnd39/psJzEx8dixY7GxsTNnzhQKhaKK9z0RDi7j8/nOzs4AsHTp0tatW9d/g4i4GTNmAICSklJVKywhsrAJpBSLxYqMjGSz2UeOHKnP0XTnzp2PHz+urKwcExMzb9488V16FeExQUxMzKtXrwwNDX19feu/NUSco6NjWVkZAAQHB+MaxVKK6FwX6CcWLlwIAJ07dxbUb1XiY8eOMd+BixcvrtV0pzV3+vRpAOjevXv9NyUQCHbv3n3w4MH6bwoRx+PxmHEDenp6pLOgKmETSLWsrCwdHR0A2LVrVz03dfDgQWaqBhcXF3GUwe3btwGgadOmIt8ykmkzZ85kfum8c+cO6SyoSnh2SKoZGRn5+fkBgJeXVz2HidnZ2e3cuRMANm3alJSUJJp8XxHJyLL09PQf3jiLZFRqauqBAwcAYMKECT179iQdB1UJ5x2SdhUVFR06dEhKSnJ1dQ0LC6vn1rZu3dqyZcuhQ4eKJNvXCgsLmcOXkpISdXX1OmyBpukhQ4a8efMmOjq6X79+og6ICGjcuHFaWpqKikpeXl7dPhVIMvCYQNqpqKhEREQAQFRUFDNhS30sXry4sgaKiorqG+4rWlpazOngOl80PnXq1JUrV758+dK4cWMRBkOk7Nq1Ky0tDQBmzJiBNSDlsAlkADO6is/ni3C5rqSkJCsrq+3bt4tqgywWqz63D5WXlzN/O1dX16ZNm4oqFSJoyZIlAKCiorJr1y7SWdBPYBPIhvDwcCUlpb/++uvChQsi2eCxY8fS09MXLVq0f/9+kWwQ6jekIDIy8v37940aNZLkDBlIfGbNmsWMbJfk5Feo7khfskY1xQy2srKyEskSlRRFLV26FACYIQv13yBN08OGDQOA/fv31/aN6enpGhoaAHDgwAGRJEFk5efnMz9eGjRoQDoLqhE8JpAZvr6+hoaGr1692rp1a/23xoxcY8aa2dnZMaMB6qnOZ4e8vLxKSkp69eo1ffr0+sdAxFVe8I+PjyebBNUQNoHM0NXVDQ4OBgA/P7/s7Oz6b5DNZm/bts3e3l4gEPz666/1P+9UtyYQCoXMnaNRUVE456gcuH//fmJiIgD07NmzQ4cOpOOgGsFvPFkyd+7cjh075ufnM4MM6o/D4ezdu9fGxqaioiIwMJCu3y3FdWsCDofz559/vnr1qkePHvXZO5ISv/32GwBwOJyrV6+SzoJqCptAlnA4HGbK/m3btjG/dtWfkpJSdHS0p6dnXFxcPdeLr8/gMpxpTj4cO3bs5cuXABAREcEsaIpkAjaBjLG2tp48eTJFUY6OjvX8Fb6SiopKSEiIrq4u88c6L4Bc22OC4uLipUuXpqen1213SNoIhUJmTUozMzPmfgQkK7AJZE9YWJiqqurVq1djY2NFvvHIyEhLS8vnz5/X4b21bYK1a9du2rRp5MiRoqo0RJaNjQ0zJ8rhw4dJZ0G1g00ge5o2berm5gYArq6u5eXlItwyn8+PiYnJyckZPHhwHeYmqlUTpKSkMJNnrFq1qp5npZA0yMjIOHXqFAA0bty4b9++pOOg2sEmkEmenp6mpqbv37+PjIwU4WaVlZXPnTvXqVOnrKyswYMHv3//vlZvZ0aWFRUV8Xi8n77Y3d2dx+MNGjRowoQJdUuLpErlnaPXrl0jmwTVBdnhDKjOmCkeNTQ00tPTRbvlrKysNm3aAEDTpk1TU1Nr/kaKopSVlQHg48eP1b8yISEBANhs9rNnz+oXFkmF8+fPMz9PBg8eTDoLqgs8JpBV06dP79WrV0lJiZeXl2i3bGRkdOnSpZYtW6akpAwePDgjI6OGb2SxWIaGhvCzE0RCodDR0REAFi5c2L59+/oHRsRNnjwZANhstqhmQ0EShk0gq9hsNnNH6f79++/duyfajZuYmFy+fNnc3Dw5OblW16Vrcqlg//79T58+1dXVDQgIqGdOJA28vb2Li4sBwMfHBxenlFG4PoFs++233/bv39+rV69bt26J/Lrr+/fvz58///vvv9f8LUOGDLl8+fKBAwfs7e2rek1hYeHq1avNzc0XL14sipiIJIFAoKGhUVFRoaWlVVhYSDoOqiM8JpBtISEhmpqad+7ciY6OFvnGmzdvXlkDJSUlNVnPoCbHBNra2mvWrMEakA8ODg7MnKMnTpwgnQXVHTaBbDMxMfH29gYAd3d35ghdHAoLC4cPHz569OifLi1ZfRMUFBTgMag8ycjIYJZEHT58+JAhQ0jHQXWHTSDznJycmjVr9unTp7Vr14ppFykpKYmJiTdu3JgwYUL1Ixiqb4Lp06f37duXmY0AyYF+/fpRFKWkpBQTE0M6C6oXbAKZx+Vy169fDwBhYWEpKSni2EWHDh3OnTunoaERHx//66+/MmcDfqiaJjh79uzZs2fv37+vpKQkjpBIwo4cOfL27VsAsLe3r5yqBMkobAJ5MGHChEGDBvF4PHd3dzHtok+fPnFxcVwuNy4uzs7OTiAQ/PBlVS1bVlFR4eLiAgDLli2ztLQUU0gkScyco0pKSrg4pRzAJpAHzLIzbDb76NGj4hvhOWDAgNjYWBUVlWPHjs2ePZuiqO9fU9UxwebNm5OSkoyMjFauXCmmeEiSHBwcmPOEYWFheOeoPCA9tA2JDHOfT8eOHQUCgfj2Ehsby+FwDA0NP3z48P2zr169AgBdXd2vH8zKytLR0QGAnTt3ii8YkpjS0lLmlmV9fX3SWZBo4DGB/Fi1apWuru7Tp093794tvr2MHz/+zz//vHbtWtOmTb9/ljkmyM/P//pawsqVKwsKCjp37jx79mzxBUMSY21tTdM0AJw7d450FiQaOLJMrmzYsMHR0dHQ0DA5OVkyF/FSUlLMzc0rB7VRFKWioiIUCtPT0xs1agQAFRUVvXv3fvTo0fXr1ysnKUOy6+nTp506dQKAjh07PnnyhHAaJCJ4TCBXFi9ebGVllZ2dHRgYKIHdXblypW3btkFBQZWPsNlsAwMD+OpSgYqKyr179y5evIg1IB+YC8UsFgvnHJUn2ARyRVlZOSIiAgA2bNhQhwUGauvFixelpaW+vr7r1q2rfPD7i8YcDmfo0KHiDoMk4OzZs8xxQHBwMHPtB8kHbAJ5M3z48LFjxwoEAuauTbFaunTp6tWrAcDNzW3z5s3Mg5VNUFZWFh4eXlZWJu4YSGJmzZoFAMbGxitWrCCdBYkSNoEcWr9+vbKyMjOSS9z7WrFihY+PDwA4ODjs2bMHvmqC8PDw5cuXDxs2TNwZkGTY2dllZ2cDALM2BpIn2ARyyMLCglkAwMXFhc/ni3t3AQEBzPHHvHnzoqOjmcFl7969CwkJAYBaTWWKpFZubi4zy2HDhg3xXJ/8wSaQTz4+Pg0aNEhKSqo8aSM+LBZr3bp1ixcvpmn6xIkTzGI1586dKykp6dOnj62trbgDIAno378/88Xly5fJJkHigE0gn3R0dJgz+P7+/jVcYr4+WCzWpk2btm/ffvjwYeaYIDk5GQCioqJwtXo5cP369RcvXgDAL7/8wqxsiuQMNoHc+u2337p06VJQUCCZCR7YbPaCBQuUlZWfPXtW+eDTp08lsGskbuPHjwcAFouFBwTyCptAbnE4nMjISADYsWOHxEYApaWlbd++vfKPCxcuTEtLk8yukZisXbs2Pz8fAJycnFRVVUnHQWKBTSDP+vXrN3XqVJqmnZycJDOYnDkpVEkoFDITFyMZRVGUn58fAKirq4eHh5OOg8QFm0DOhYaGcrnca9euSWZxQQsLCzb7fz5UPB5PAvtFYuLq6sr8Dx48eJB0FiRG2ARyrkmTJh4eHgDg6uoqgUFeZmZmO3bs+HqaYnt7e1ykTEbl5uZu2LABAAYMGDBx4kTScZAYYRPIP3d3dzMzs5SUlDof3bOqlZCQ8PWL586dm5KScvXq1RcvXnTt2jU7O3vw4MHfnDVCMmHQoEFCoZDD4Rw9epR0FiReOBepQjh8+PD06dPV1dXfvHljampa27d/fWbgjz/+iI+P/3qU6dChQ42NjX/4xpycnIEDB758+fLo0aP4S6VsiYuLGzt2LADY29vjoGK5h02gEGia7tev382bN+v/Xe3g4LB58+aaf2wyMzMfP348YsSI+uwUSZ6mpmZJSQmHw+HxeLgqmdzDs0MKgcViMYO8Dh48eOfOHUnu2tjYuLIG0tPTMzMzJbl3VDceHh4lJSUA4OfnhzWgCLAJFEXXrl2ZJcMcHR1/uASxuKWkpPTr12/o0KE5OTmS3zuquYqKCmaacW1tbVx3WkFgEyiQ4OBgLS2te/fuEbkjUCAQlJeXJyYmDh8+vKCgQPIBUA0NHTqU+V3h1KlTpLMgCcEmUCANGzZkZpD29PQsKiqS8N5btmx56dIlQ0PDhw8fjho1qri4WMIBUE28efPm+vXrANC6desBAwaQjoMkBJtAsTg6OrZo0eLz58/MlNES1qZNm/j4eF1d3Vu3bo0bNw4XsZFC9vb2zBdMHyAFgU2gWFRVVZlRBeHh4e/fv5d8gE6dOl24cEFLS+vq1auTJk3CEchS5cqVK/fv3wcAT09PZsUhpCCwCRTO2LFjhw4dyuPx3NzciATo0aPH2bNn1dXV//nnH7xgIFXs7OwAwMDAIDg4mHQWJFHYBAqHxWJFRERwOJwTJ05cuXKFSIa+ffteuHAhISGBWcwASYMFCxZkZGQAwJ49e76ZPArJPfz/VkRt27ZlFpV0cnISCAREMvTt27eyBm7dukXkxlZUqbi4eNeuXQBgYGAwbtw40nGQpGETKCh/f399ff3ExMSdO3eSTbJ79+6+ffs6ODjgcHeCrK2tmX//CxcukM6CCMAmUFD6+voBAQEAsHLlyry8vJq/cdOmTaL9kc3lcgFg69atrq6uWAZEPHz48NGjRwDQpUuXrl27ko6DCMB5hxSXQCDo1KnTixcvHB0dmdXNSNm9e/e8efMAwMfHJzAwkGASxWRkZJSdnc1isQoLCzU1NUnHQQTgMYHiUlJSioqKAoBNmzaRXUJg7ty5GzduBICgoKDVq1cTTKKANm3alJ2dDQDz5s3DGlBYeEyg6CZOnBgbGzts2LDz58+zWCyCScLCwtzd3QEgIiLCycmJYBLFQVGUuro6j8dTVVUtLy8nHQcRg8cEim7dunUqKioXL148c+YM2SRubm7+/v4AkJ6eTjaJ4vDz82MG9zE3DiGFhccECDw9PdeuXWthYfH8+XMVFRWCSWiajo+PHzp0KNmjEwVRWFhoaGjI5/N79ep1+/Zt0nEQSXhMgMDb27thw4bJycnMyXqCWCzWsGHDmBooLy+/du0a2TzybdSoUXw+n81mHz9+nHQWRBg2AQItLS1mQrqAgAApWUmmrKxs7NixQ4YMwYmRxSQhIeHmzZsA8OuvvzZq1Ih0HEQYNgECAJg5c2a3bt0KCwuZaauJU1FRMTY2FggEU6ZMwbFO4jB+/HgAYLPZf/zxB+ksiDxsAgQAwGazmTtKd+/e/fjxY9JxgMPh7Nu3z8bGpqKiYsKECQkJCaQTyZWgoKDCwkIAcHV1JXtlCEkJvGKM/mNnZxcdHd2vX79r165JwzXbioqKSZMmnTlzRkNDIz4+vnfv3qQTyQOhUKiqqioUCjU0NHC9IMTAYwL0n7Vr16qrq9+4cePo0aOkswAAqKioHDt2bMiQISUlJSNGjHj48CHpRPJgzJgxQqEQAGJiYkhnQdICmwD9x8zMzNPTEwDc3NxKS0tJxwEA4HK5sbGx/fr1Y7FYfD6fdByZl5qaev78eQBo1qzZmDFjSMdB0gLPDqH/UVZW1rp169TU1FWrVvn6+pKO86/CwsJ//vmnffv2pIPIvD59+jBDB9LS0kxNTUnHQdICjwnQ/1BTUwsLCwOANWvWfPz4kXScf2lra1fWwOPHj4msuykHbt++zdTAwoULsQbQ1/CYAH2Lpmlra+sbN25MnjxZSi4YVLp///7QoUP19PSuX7/euHFj0nFkjLm5eWpqqo6OTm5uLq5Khr6GTYB+4PHjx126dAEAXV1dTU1NabiPiCEUCrOysgQCgZKSUoMGDTgcDulEMiMvL4+5UygmJmbq1Kmk4yDpgk2AfoCmaTMzs0+fPpEOgkRMWVm5oqKCdAokdZRIB0DSiMVivX//3t/ff8uWLcwQpAEDBjg6OpqZmZGOBgCQlpa2YMGCL1++WFpabt26VVtbm3QiaXf69OnAwEBlZWUcUYx+jEaoatnZ2Q4ODsxJGBUVlRUrVhQWFpIORdM0/erVqwYNGgBAz549pSSS1CooKGD+rdavX086C5JSeNUIVcfAwGDjxo1PnjwZPHhwRUVFSEhIq1at9u/fT1EU2WCtW7e+dOmSvr6+lpYWXi2oXlBQUFZWlqWlpYODA+ksSFqRriJEwNu3bxcsWNCsWTNVVVUtLa0+ffpERkaWlpZW8xaKomJjY1u0aMF8bLp373779m2JBa7Ky5cvy8rKSKeQam/evFFWVgaAuLi4n7548+bNANCjRw8JBENSBZtA4cTFxampqenq6i5btmzHjh2bNm2ytbVVVlaeP3/+T99bXl6+du3aytVu7e3t09LSJJD5pyiKOnjwII/HIx1E6tjZ2QHAiBEjKIr66Yv79OnTtGlTAEhOTpZANiQ9sAkUy/v37zU1NVu3bv3p06evH09OTo6MjKzhRj5//jx79mzm1lJ1dfXAwMDqjyckwMvLCwAmT57M5/PJJpE2OTk5S5cuffny5U9fyYzXO3HihJGRkb+/vwSyIemBTaBYFi1aBAA3b96s/6bu37/fp08f5uDA3Nz86NGjNfmtU0zOnz/PzK5sb28vFApJxZBpgYGBenp6PB5v8eLFFhYWpOMgicImUCympqbNmzcX1dYoioqOjq68tdTa2vrx48ei2nhtxcbGKikpAcD8+fMJdpL0+PDhQ63+HVq3bj137lyapq9fvw4A9+7dE1s0JHWwCRRIQUEBAIwfP160my0uLvb19eVyuQDAZrMXLFiQlZUl2l3UUExMDDOJwrJly376Q7C8XDKhyMjOztbT0xs8eHAN/y8ePHgAAPHx8TRNUxRlZmbm6Ogo3ohImuBdpAqEGSOmpaUl2s1qaGisWrXq9evXU6dOpShqx44dFhYWERERkh/LOnXq1D179gDAhg0bmCsHP0TTEBAA/ftDYaEEw0mWn59fXl7ely9f9PX1a/L6Q4cOGRsbDxw4EABYLNbUqVNjYmKYZQyQQiBdRUhyxHRM8LXr16937tyZ+Wi1atXq7Nmz4ttXVbZt28Zms3fu3PnDZymK9vSkAWgA+o8/JBxNQp49e8YcG125cqUmrxcIBCYmJra2tsn/788//wSACxcuiDsqkhLYBIqlUaNGLVq0EOsuBALBzp07mUGtADBq1KjXr1+LdY/fq2qPFEUvW/ZvDYSHSziUhFAUNWjQIACwsbGp4VsuXrz4w18TZ86cKdaoSHpgEyiWBQsWAMCtW7fEvaP8/HxXV1dmTJOSkpKzs3NeXp64d/q9zMzMQ4cOMV8LhfT8+f/WwNatks8iISdPngQAVVXV9+/f1/Ats2bNatCgwdH/NW3aNC0tLeL3ByPJwCZQLG/fvtXQ0GjTpk1GRsY3j9d8PEHNJSUlVS6RaGhouH37doFAIPK9VCU/P9/KygoAdu3axefTM2bQADSbTe/bJ7EIklZWVta8eXMA8Pb2ruFbSktLtbS05syZ883jN2/eBICYmBhRZ0TSCJtA4Zw6dYrL5erp6Tk6Ou7cuXPz5s12dnYqKioLFiwQ0x7PnTvXunVrpg86duyYkJAgph19g6IoZ2dnAABQ6dEjBYDmcGj5/smWnJzcunXrRo0aFRUV1fAtzLr2sbGx3zwuFAqNjIzGjh0r6oxIGmETKKI3b97Mnz+/adOmKioqWlpav/zyy8aNG8vFeVtlRUVFVFSUrq4u0weTJ0/+8OGD+HZXiaKoefMcAE4B0EpKgu9+3MmhioqKmoworjR27Fgul1tSUvL9U7/99puysnJ2drbo0iEphSvVIMnJzs729fXdvn07RVGqqqpubm6enp4aGhri22NpKYwfT1+6xAIo43B+PXVq8ejRo8W3O4RkFI4nQJJjaGi4ZcuWx48fDxw4kMfjBQUFtWrV6uDBg2Ka47qoCEaOhEuXWBoa9IABYULhGRsbm6tXr4pjX8Q9ePBg/fr1uB4ZqiPSByVIEVEUdfz48WbNmjEfwl69et29e1e0u8jNpXv2pAFobW365k26oqJi/PjxzZs3l8xZKQmjKKp3794AsHz5ctJZkEzCs0OImPLy8oiIiODg4JKSEgCYNWtWSEiIiYlJ/bf85QsMGwZPnoC+Ply8CF27AgDweLy8vLyGDRvWf/vSJjo62s7OTkNDIykpydTUlHQcJHvw7BAihsvlrlix4s2bNzNnzgSA/fv3W1pahoSElJeX12eznz/DgAHw5Ak0aAAJCf/WAACoqqpW1sCpU6eePHlSr/RSo6SkxN3dHQC8vLywBlAdkT4oQYimafru3bs9e/ZkPpPNmjU7ceJE3eYTpSi6Rw8agDY1pasa2nzu3DkOh2NoaPjixYt6hZYOK1euBICmTZvi8m2ozrAJkLQQCoUHDhxo1KgR0weDBg169uxZHbZz5w7dvj397l2VL8jPz+/atSsAmJiYyPriXCkpKcwssMePHyedBckwbAIkXYqKiry9vVVVVQGAzWYvXrz4y5cvtd3IT9eqyc7Obt++PQA0btw4JSWljlmlgK2tLQAMHDgQl2RA9YFNgKTR+/fvJ0+ezBwc6OrqRkVFVVRUiHYXGRkZrVq1AoDmzZtLyWrMdfDixYuRI0c+ffqUdBAk2/DeISS9EhISHB0dnz17BgBWVlYRERHDhw8X4fbT09P79+///v37Vq1a3b59W09PT4QbR0iG4L1DSHoNGDDg0aNH27dvNzQ0fPXq1YgRI8aOHZucnCyq7Zuaml6+fNnMzGzgwIE6Ojqi2qxkFBcXk46A5AceEyAZkJ+fHxAQsHHjRoFAoKys7Ojo6OPjI6qf3ZmZmQ0aNGCxWCLZmmQw06xOmDAhNDRU5IvQIQWExwRIBujq6oaHhycmJo4cOZLP569bt87S0nL37t0iWV7R2NiYqQE+nx8QECATv2sHBgZmZGQkJCQwNw4hVF+kL1QgVDtnzpyxtLRkPr2dO3e+fv26qLY8a9YsABg4cKCUL8/y+vVrJSUlADh//jzpLEhO4DEBkjGjRo1KTEwMDw/X0dF5/Phx//79bW1tU1NT67/l33//XUtL6+rVq5MmTeLxePXfoJgsX75cIBCMHj1atNfPkUIjXUUI1VFmZuaCBQuYEztcLtfPz++Hk+zXyvXr19XU1ABgwoQJIr9vVSTOnTsHAEpKSklJSaSzIPmBTYBk2+PHj62trZlfa8zMzKKjo+s5xio+Pp4Z12ZrayvJtTZroqKigln9DeccRaKF9w4hmUfT9PHjx11dXf/55x8A+OWXX6KiorpWzjxXe3FxcRMnThQIBIsWLdq6davoktbXkydPBg4cqKysnJycLHO3vSJphtcJkMxjsViTJ09+9epVYGCgurr6zZs3u3fvPmfOnIyMjLptcMyYMTExMdra2r/++qtoo9ZTp06dkpOTT5w4gTWARAuPCZBcSUtLW7FixcGDBwFAS0vLx8fH0dGROdtTW7m5ufr6+qIOiJA0wmMCJFfMzMwOHDhw69at7t27FxUVeXh4tG3b9vTp03X4jaeyBl6+fBkWFibqpLXz/Pnzv/76C39vQ+JC9CoFQuIiFAr37dtXuTTN0KFDnz9/XoftZGdnGxoaAsDq1atFHrKGKIoaMGAAAAQHB5PKgOQbHhMg+cRms2fNmvXmzZsVK1aoqKjEx8d37Nhx6dKlubm5tdqOgYGBm5sbAHh5eUVGRool68+cPHmSGU5sZ2dHJACSf6SrCCGxe/fu3cSJE5kPvL6+/qZNm/h8fq224Ofnx7x927ZtYgpZlbKysqZNmwKAr6+vhHeNFAc2AVIUly5dateuHfMDvW3btvHx8TV/L0VRzFrBLBZr//794gv5veDgYAAwNTUtLi6W5H6RQsEmQAqEz+dv2bKl8lLw+PHj3759W8P3UhTl4OAAAGw2++zZs2LNWSktLU1DQwMADh06JJk9IsWEd5EihZObm7tq1arNmzcLhUIVFRVnZ2dvb++azO1MUdTChQtfvXp15syZWt3Rf/Mm9O4N7NpflZs5c+aBAwf69Onz999/y9a82Ui2YBMgBfXy5UtnZ+eLFy8CQMOGDUNCQmbOnMn+2U9roVDI4/HU1dVrvqMXL6BdOzAwgL/+gt69axfyzJkzrq6uBw4c6NatW+3eiVBtYBMgxUXT9JkzZ5ydnd++fQsA3bp1i4qK6tOnTw3fHh4e3rVr18pZj6oydChcugQAwOGAgwP4+UGtVsmkKOqn/YRQfZE9OYUQceXl5WFhYZVnh6ZPn/7x48efvis6OhoANDQ0bt26Vc3LHj2iWSwagO7XjwagAWgDA3rrVvqn9y4JhcJa/S0Qqg9sAoRomqYzMjLmzp3LnItXV1cPCAiofr2asrKyIUOGAICOjs7Dhw9/+BqKovv3pwHoadNomqbj4+m2bf/tg/bt6StXqtx4UVFRmzZtwsPDpXNmbCR/sAkQ+s/Dhw/79u3LHBw0adLkyJEj1cxxXVxczLxYX18/MTHx+xf8+ScNQKup0amp/z7C59ObNtF6ev/2waRJ9Lt3P9iyt7c3ALRo0aK8vFw0fzGEqoVNgND/oCgqJiamcePGTB/069fv0aNHVb24oKCgR48eAGBsbPz69euvnyotpZs0oQFof/9v35WdTTs40BwODUCrqtJeXnRR0X/Pvn//npky7+TJkyL8eyFUDWwChH6gpKTE39+fWb+MxWLNmzcvMzPzh6/Mzc3t1KkTAJiamubn51c+HhBAA9CNG9NVLaSWmEgPGfLvwYGJCb1/P81cGrCxsQGAwYMH13PJHYRqDpsAoSqlpqZOmzaNOTjQ1tZet24dj8f7/mVZWVlt2rSJiIj46o20mhoNQMfEVLd9iqJPnaJbtPi3D3r0oDdtugIAbDb7h6ebEBITbAKEfuLGjRtdunRh+sDCwiIuLu7739bLysq+/uP06TQA3bcvXZNf68vL6bVraU1NGoAP0AEA5sxZIsL8CP0UjidA6Ocoitq3b5+Xl1dmZiYAjBgxIjw83MrK6vtX5uXl2dk5nzu3jsUyfPAA/r9Bfi4jA+bMuXHu3AAWSycpKdnCwkCE+RGqHjYBQjVVWFgYHBwcERHB5/M5HI6Dg4Ofn5/e/44TGzNm7JkzcQCd7e2vHDigW9tdxMQ8f/r0fUjIOJGFRqgGsAkQqp3k5GRXV9fTp08DgIGBQVBQ0Lx585SUlJhnQ0Jee3lZA2R17drr6tWLNZnOCCHisAkQqov4+HgnJ6eXL18CQPv27aOiogYOHFhYCJaWkJmZqK4+oLQ0t3///ufOnavJJEVv377l8Xht27YVf3CEfgDnM0GoLoYOHfr06dONGzfq6eklJiYOGjTIxsbG3f19ZiZYWLS/fPmitrb29evXJ0yYUF5eXv2maJp2cHDo2LHjrl27JBMeoW8RvV6NkMzLzs5esmQJh8MBAABVAK8//yyiafrmzZvM0gJz5sypfgtxcXEAoKysnJycLJHICH0LjwkQqhcDA4NNmzY9efKkWbPBADyA1Y6Oln/88UevXr3i4uIsLCyYxc6qUlFR4eLiAgDOzs4tW7aUVGqE/gdeJ0BINCiK9vE5ffCgy8eP7wGgR48eUVFR3bp1q7yY/EPh4eHLly83NjZ+8+aNtra2pMIi9D/wmAAh0WCzWatXj09OfrlmzRpNTc179+717t17zpw56enpAHDx4sVly5Z984tXVlbWqlWrAGD16tVYA4ggPCZASPQ+f/7s7e29d+9eAFBXV1+2bFlUVFRZWdmyZcsiIyMr16FcsGDBzp07u3bteu/ePVyOBhGEHz6ERM/ExGTPnj3MYUFpaemaNWuYq8cbNmxYsWJF5a9f7dq109XVjYyMxBpAZOExAUJiRNP04cOH3d3dmXNEjICAgJUrVzJfFxUV4egzRBw2AUJiV1JSEhoaGhoaWjm2wM/Pz9/fn2gohP6DTYCQhPzzzz/u7u5//vkn88fhw4f/9ddfysrKZFMhBNgECEnY9evXp0yZkpmZyeVy09PT9fX1SSdCCJsAIYkTCAS7d+82NjaeMGEC6SwIAWATIIQQwnvXEEJI0WETICRF/P39WSxWdnb2N4+3a9duwIABJBIhhYBNgBBCig6bACGEFB02AUIIKTpsAoQQUnTYBAghpOiwCRBCSNFhEyAkGypXNUBI5LAJEJIiXC4XAMrKyr55vLS0lHkKIXHAJkBIipibmwNAUlLS1w+WlpZ+/PiReQohccAmQEiKDB48WEVFZevWrRRFVT64Y8cOgUAwcuRIgsGQfMMZ6BCSLsHBwT4+Pr/88su4cePU1dVv3bp1+PDhYcOGnTt3Dhe5RGKCTYCQ1Dl06NCmTZsSExMFAkGzZs2mTZvm4eGhqqpKOheSW9gECCGk6PBgEyGEFB02AUIIKTpsAoQQUnTYBAghpOiwCRBCSNFhEyCEkKLDJkAIIUWHTYAQQooOmwAhhBQdNgFCCCk6bAKEEFJ02AQIIaTosAkQQkjR/R+ggBjozHhloQAAAABJRU5ErkJggg==", "path": null } ]
<image>
# 顶点坐标 coordinates = {'V': (0.96, 0.6), 'G': (0.73, 1.0), 'P': (0.27, 1.0), 'N': (0.04, 0.6), 'C': (0.27, 0.2), 'A': (0.73, 0.2), 'U': (0.62, 0.0), 'T': (0.33, 0.3), 'F': (0.52, 0.64)} radius = 0.0 connection_dict = {'V': ['G', 'A', 'U', 'F'], 'G': ['V', 'P', 'F', 'T'], 'P': ['G', 'N'], 'N': ['P', 'C', 'T', 'U'], 'C': ['N', 'A', 'U'], 'A': ['C', 'V', 'U'], 'U': ['V', 'A', 'C', 'T', 'N'], 'T': ['U', 'N', 'P', 'F', 'G'], 'F': ['G', 'T', 'V']}
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", 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<image>
# 顶点坐标 coordinates = {'G': (0.93, 0.5), 'W': (0.07, 1.0), 'P': (0.07, 0.0), 'O': (0.57, 0.29), 'L': (0.32, 0.65), 'R': (0.35, 0.73)} radius = 0.0 connection_dict = {'G': ['W', 'P', 'O', 'R'], 'W': ['G', 'P', 'O', 'L'], 'P': ['W', 'G', 'O', 'R', 'L'], 'O': ['P', 'G', 'W', 'L'], 'L': ['O', 'W', 'G', 'R', 'P'], 'R': ['L', 'P', 'G']}
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", 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<image>
# 顶点坐标 coordinates = {'H': (0.17, 0.02), 'G': (1.0, 0.02), 'A': (0.0, 0.98), 'L': (0.51, 0.02)} radius = 0.0 connection_dict = {'H': ['G', 'A', 'L'], 'G': ['H', 'A', 'L'], 'A': ['H', 'G', 'L'], 'L': ['G', 'H', 'A']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'I': (0.5, 0.69), 'N': (0.0, 0.98), 'L': (1.0, 0.4), 'Z': (0.08, 0.29)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['Z', 'N'], 'N': ['L', 'I', 'Z', 'O'], 'L': ['N', 'I', 'Z'], 'I': ['N', 'L'], 'Z': ['O', 'N', 'L']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'E': (0.0, 0.32), 'K': (0.83, 0.32), 'F': (1.0, 0.68), 'L': (0.6, 0.32)} radius = 0.0 connection_dict = {'E': ['K', 'F', 'L'], 'K': ['E', 'F', 'L'], 'F': ['E', 'K', 'L'], 'L': ['E', 'K', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'K': (0.93, 0.62), 'J': (0.72, 1.0), 'F': (0.28, 1.0), 'A': (0.07, 0.63), 'I': (0.28, 0.25), 'L': (0.72, 0.25), 'H': (0.28, 0.0)} radius = 0.0 connection_dict = {'K': ['J', 'L'], 'J': ['K', 'F', 'A'], 'F': ['J', 'A', 'H', 'I'], 'A': ['F', 'I', 'J'], 'I': ['A', 'L', 'H', 'F'], 'L': ['I', 'K', 'H'], 'H': ['F', 'L', 'I']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.86, 0.75), 'I': (0.71, 0.0), 'V': (0.14, 1.0)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': [], 'I': ['V'], 'V': ['I']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.17, 0.5), 'D': (0.5, 1.0), 'E': (0.83, 0.5), 'I': (0.5, 0.0), 'J': (0.5, 0.5)} radius = 0.0 connection_dict = {'H': ['D', 'I', 'E', 'J'], 'D': ['H', 'E'], 'E': ['D', 'I', 'H', 'J'], 'I': ['H', 'E'], 'J': ['H', 'E']}
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OBZUlkUgCAwPXrVvHvdM3MDDYsmXLsGHDWOcCpYQm4KObN29OmjSJm2W2s7MLCQnp1q0b61DwOV6/fj1kyJALFy5wf7Szszt+/Li1tTXTUKB8MJzkl6KiooCAABcXl1u3bhkaGq5du/bOnTuoAeVVt27d6Ojo2NhYCwsLInrw4IGNjc24ceNEIhHraKBMMCbgkRMnTkyZMuX58+dENGLEiNWrV9evX591KKg2q1ev/uGHH7gOqFWr1vr168eMGaP4W4GCIkAT8EJeXp6/v//BgweJyNLSctOmTb169WIdCqpfYWHhsGHDTp8+zf3Rzs4uLCysfAsEgP+C2SHVd+bMGXt7+4MHDwqFwsDAwPv376MGVJW+vv6pU6diYmK4C8AePHjg4ODg6+vLXRcA8F/QBKqsqKho8uTJXl5eWVlZzZs3j4uLW758efkOuqCq3N3d09PTAwMDuamhnTt3Wlparlu3TiwWs44GCgqzQyrr+vXrI0aMePLkCRFNnTp16dKlurq6rEOBXN2+fXvgwIHcZjVEZGtru3bt2u7duzMNBYoIYwIVJJPJVq1a5ebm9uTJk0aNGp07dy4kJAQ1wENt2rR5+PDh9OnTuT8mJSX16NHD29v78ePHTHOBwsGYQNW8fv36m2++4XavHTJkyLZt27BwEJw/f37UqFFZWVncHzU0NAICAubMmfPhHtTAZ2gClXLlypXhw4enp6draWmtXr168uTJuIgQODk5OWPGjDlz5kz5ERMTkyVLlnzzzTdYpgLwE6AiZDLZxo0bu3Tpkp6ebm1tffXq1W+//RY1AOXq1at38uTJJUuWcD8Vmpqar1698vX1dXZ2jo2NZZ0OGMOYQBWIRKIpU6bs2LGDiL7++uvt27fr6+uzDgUKKiYmZvjw4VlZWdra2kKh8P3790Tk4+Pz66+/NmzYkHU6YANjAqWXkZHRpUuXHTt2CIXCZcuWhYWFoQbgEzp37nzr1i03N7eSkpLi4mJnZ2eBQHDw4EEbG5v58+dzxQB8gzGBcrtx40b//v1fvnxpaGgYFhbWs2dP1olAOYhEIn9//+3btxORl5fX27dvuTmihg0bLl++/Ouvv8bUIq9gTKDEwsPDu3Tp8vLlS3t7+5s3b6IGoPK0tLS2bt26fv16NTW106dPl5WVbdu2rVGjRunp6cOHD+/cuXNCQgLrjCBHTPbMhC8XEhLCvWvr1avX27dvWccBZRUdHW1kZEREVlZWd+/enT9/vo6ODhEJBAJfX9+XL1+yDgjygCZQPmVlZdOmTeOKfNKkSWKxmHUiUG4PHz60tLQkImNj47i4uOfPn48YMYL7AdPX11++fLlIJGKdEWoWmkDJlJSUDBkyhPst/fXXX6VSKetEoAqysrLatm1LRNra2seOHZPJZJcvX+aOEJG1tXVERAR+2FQYmkCZFBUV9ejRg4g0NTXDwsJYxwGVUlhY2Lt3byISCoW7d++WyWQSiWTnzp3l+1r36NEjMTGRdUyoEWgCpZGfn9+xY0ci0tXVPXv2LOs4oILEYvG4ceO41/2NGzdyBwsKCmbNmqWpqUlEampqU6dOzcvLY5sTqh2aQDm8fPmydevWRGRoaHjlyhXWcUBlSSSS//3vf1wZLFu2rPx4SkqKt7c3d7xu3bobNmzACSpVgiZQAi9fvrS1tSUiExOTO3fusI4DKk4qlc6ePZt70f/xxx8/PD3w559/tmzZkvuUvb39uXPnGOaEaoQmUHQvX760s7MjIgsLi+TkZNZxgC+WLl3KveLPmzfvw+NisXj9+vXchadENHDgwCdPnjDKCNUGTaDQXr16xb0FMzc3T0lJYR0H+GX16tXcy/2iRYs++lRubq6/v7+amhp3/UJwcDBualFqaALFlZ2dze1FbmZmhtEAMLFs2bLyS5b/+dn79+9369aNe4CpqWloaKhEIpF/SPhyaAIFVVBQ4OjoSEQNGjR49OgR6zjAX4sWLeJe61etWvXPz0ql0vDw8GbNmnGPad++Pa5oUEZoAkVUXFzcpUsXIqpXr15SUhLrOMB38+bN417oQ0ND//UBJSUly5YtK18Ed9SoUS9evJBzSPgSaAKFIxaLBwwYwN3on5CQwDoOgEwqlX7//ffc/QQnTpz4r4dlZWWNHz+eWw5LV1d34cKF79+/l2dO+GxoAsUilUp9fX2JSEtLKzo6mnUcgL9IJJLRo0cTkY6OTlxc3CceeePGDe4WSCJq3Ljx77//jmUqFB+aQLHMnTuXu92fW/sFQHGUlpZ6eXkRUZ06dR48ePCJR0ql0gMHDlhYWHB90KVLl1u3bskrJnwONIECCQ0N5X5ztm3bxjoLwL8oKipycXHh3uy/evWqwgfPmzdPW1ubW+N60qRJ2dnZ8skJVYUmUBQXLlzQ0NAgotmzZ7POAvCfcnNzraysiKhjx47FxcUVPv7Zs2fDhg3j3uIYGBisWrUKa1wrIDSBQnj06BF30+bQoUNxRTYouKSkJENDQ+4aoUqeA4iJieGuiiai5s2bnzx5sqZDQpWgCdjLy8uztrYmIhcXF1xrAUrhzz//5G4wXrx4cSW/pKysbPv27fXr1+f6wMvL6+HDhzUaEioPTcCYRCLhzsI1btwYOwWCEtm0aRP3ml6lqxvevHkTGBjITYSqq6sHBATk5+fXVESoNDQBYz/99BO3URQurgClw61fXbt27aquhpKcnNyvXz+uSIyNjTdv3lxWVlZDIaEy0AQs/fHHH9wvw969e1lnAaiy0tLSTp06cStUFxUVVfXLz5w506JFC+5XoHXr1riBhiE0ATPJyckGBgZE5O/vzzoLwGfKzMzktrccOXLkZ9xBVlpaGhISwp1/JqIhQ4Y8ffq0BmJCBdAEbBQXFzs4OBCRm5sbLqoDpXbx4kXu7PH69es/7xlycnK+++47oVDI3V0/Z86cwsLC6g0Jn4YmYIObYK1Xr15GRgbrLABfauXKldxGBV9yuuvu3bseHh7c4MDMzGzv3r24olpu0AQMhIeHcz/up06dYp0FoBpIpdL+/fsTka2t7bt3777keY4ePdqkSRPuF6RDhw7Xrl2rxpzwX9AE8vbixYs6deoQ0YwZM1hnAag2OTk5ZmZmROTn5/eFT1VcXLx06VI9PT2uD8aMGfPlQ+dDhw4R0dGjRz88yM3Qnj9//sODDRs2dHV1/cJvp3TQBHIlkUi6du1KRE5OTiUlJazjAFSnqKgobknqI0eOfPmzZWRkjB07lisDPT29JUuWVGZxi08820dvvwoKCoRCobq6+sKFC8sPPn/+nIiCgoK+KLoSEhLI0dq1ay9cuKCnpxcWFqalpcU6DkB1+uqrr2bOnElEEyZMyMzM/MJnMzMzCw0NvXbtWocOHd69ezd79mw7OzvuLrbPe7YmTZpcvny5/Ai3tvbQoUM/PMh9zF0ayy+Mm4hPHj16xK3LuHnzZtZZAGqESCRq27YtEfXt27e6tiWQSCT79u3jpp6IyMPD486dO5/xPKNHj9bQ0Chf0OXHH3+0t7ffs2ePgYFB+anpKVOmCASC3NzcakmuRDAmkBOJRPLNN9+UlJR069Zt0qRJrOMA1AhNTc3Q0FBNTc0TJ07s37+/Wp5TKBSOHDny0aNHc+fO5XZwcnR0/O6773Jzc6v0PJ06dRKLxdeuXeP+GBsb27Fjx44dOxYUFNy/f7/8oK2tbd26dasluRJBE8jJqlWr4uLi9PX1d+zYwc2lAqgke3t7bg2VqVOnvnz5srqetlatWgsXLkxKShoyZIhUKt20aZO1tfXatWvFYnEln4Gb8+Hmf8rKyq5du+bm5tasWTMTExPuYGFh4b179/g4NUSYHZKLpKQk7qzA9u3bWWcBqHGlpaVOTk5ENGDAgJrYuvLChQutW7fmXsFatGhx5syZynyVVCqtW7duz549ZTLZzZs3iSglJUUmkw0cOHDEiBEymSwyMpKIdu/eXe2BFR/GBDVOJpN9++23IpGoZ8+e48ePZx0HoMZpaGjs2rVLQ0Pj+PHjhw8frvbn79KlS3x8/JYtW4yNjR8+fNirV69+/folJyd/+qsEAkHHjh2vXr0qlUpjY2Pr169fvuVObGwsEXH/5eeYAE1Q4/bt2xcdHa2trb1x40bMCwFPODg4/PDDD0Q0ffr0wsLCan9+NTW1SZMmpaSkBAQEqKurnzhxwt7ePjAwsKCg4BNf1alTp4KCgnv37nEnCbiDHTt2fPbsWUZGxuXLl83MzJo2bVrtaZUA60GJinv9+nW9evWIaMmSJayzAMhVcXFxs2bNiCggIKBGv9HDhw979+7NvaDVq1dv27Zt/7XGNfeuf/369ebm5suXL+cOlpSUaGlp7du3T09Pb+jQoTUaVWGhCWrWxIkTicjOzg7LzAEPnT59mojU1NRu375d09/r5MmTNjY2XB84OjrGxMT88zEikUhbW9vV1ZWIYmNjy4+7urpyB0NCQmo6p2JCE9Sg8uvV/vWHEoAPhgwZQkQdO3aUw3JyIpFo1apV3GLvRDRs2LBnz5599Bh3d3ci0tLS+vAm/++//577kvj4+JoOqZhwnqCmyGSy6dOnE9GYMWO4Hz4AHlq9erWent6VK1f27dtX099LU1MzICAgJSXFz89PIBAcOnTIxsZm3rx57969K38Md0K4bdu2H97k7+bmRkT6+vrllyTxDusqUlkHDx4kIl1dXaw7DTy3dOlSIjI3N/+SZUqr6tatW126dOFe5SwsLA4cOFAT17OqDIwJakRxcfGsWbOIKDg4uPwueQB+mj59euPGjTMyMlatWiW3b9qmTZvo6Ojff/+9cePGL168GDFiRFhYmNy+u9IRyD5rOSf4tCVLlsyZM6dhw4ZJSUm6urqs4wAwdvDgwREjRujp6T1+/NjU1FSe37q4uHjVqlXh4eGxsbEaGhry/NZKBE1Q/XJycpo2bVpUVLR///4RI0awjgPAnkwm69Chw/Xr1ydOnLh161b5B5BKpdzumPCv8FdT/X755ZeioqK2bdv6+PiwzgKgEAQCATc1tGPHjqSkJPkHQA18Gv52qllGRsaGDRuIaPHixbijGKCcm5tb//79pVLpggULWGeBj6EJqtmiRYtEIpG7u3uPHj1YZwFQLPPnzyeisLCw8lWgQUGgCapTamrq9u3biWjRokUYEAB8pE2bNoMHD5bJZD///DPrLPB/oAmq0+LFi8vKynr06NG5c2fWWQAU0fz58wUCwZEjR27fvs06C/x/aIJqk56evnfvXvp7CAwA/9SyZcvhw4cT0cKFC1lngf8PTVBtVq1aJRaLu3bt2qFDB9ZZABTX3LlziejYsWOPHj1inQX+giaoHrm5udxV0tya7ADwX+zs7Pr16yeTyVasWME6C/wFTVA91q9f//79eycnp+7du7POAqDouLVY9uzZk5WVxToLEKEJqsW7d+/WrVtHRMHBwbhkCKBCbm5ubm5upaWla9asYZ0FiNAE1WL//v15eXlNmzYdNGgQ6ywAyoEbFmzevLkm9raEqkITfCmZTMYNCPz9/dXU1FjHAVAOffr0ad68+du3b+WwbwFUCE3wpS5evHj//n1dXd1x48axzgKgNIRC4XfffUdEGzZswDqYzKEJvhQ3IBgzZoyhoSHrLADKZOzYsbq6uomJiTExMayz8B2a4Is8f/78+PHjROTv7886C4CSMTQ0HDVqFBGtX7+edRa+QxN8kV27dkml0q5du7Zs2ZJ1FgDlM2XKFCI6duxYZmYm6yy8hib4fFKpNDQ0lIgmTJjAOguAUnJwcOjYsaNEIsF5Y7bQBJ/vwoULaWlpBgYGuHgU4LNxl1qEhobivDFDaILPt3PnTiIaPny4jo4O6ywAymro0KE6OjoPHz68ceMG6yz8hSb4TG/evDly5AgRjR8/nnUWACVWPqrm5lqBCTTBZzpy5EhJSYmdnV379u1ZZwFQbt988w0RHTx4sKSkhHUWnkITfKZDhw4R0YgRI7DQEMAX8vDwsLCwePPmzZkzZ1hn4Sk0wefIyck5f/48EQ0bNox1FgClp6amNnToUCL6/fffWWfhKTTB5zhy5IhEInFycrKysmKdBUAVcE0QERGBCSIm0ASfg5sawoAAoLq4uLg0bNiwsLAwMjKSdRY+QhNU2atXry5evEhEX3/9NessACpCKBQOGTKEiH777TfWWfgITVBlp06dkslkTk5OlpaWrLMAqI7yCaLS0lLWWXgHTVBlJ06cIKJ+/fqxDgKgUlxcXExMTAoLCy9fvsw6C++gCapGJBKdPXuWiPr27cs6C4BKEQqFXl5eRHTy5EnWWXgHTVA1MTExRUVFpqamTk5OrLMAqJo+ffoQ0alTp1gH4R00QdVwU0N9+/YVCvFXB1DNunfvrq6unpSUlJqayjoLv+DlrGq4qaHevXuzDgKgggwMDDp16kSYIJI7NEEVZGZmJiUlCQSCrl27ss4CoJp69epFROfOnWMdhF/QBFUQHR1NRE5OTkZGRqyzAKgmDw8PIoqJiZFKpayz8AiaoAq4tYY8PT1ZBwFQWU5OTrVq1crPz7979y7rLDyCJqgCNAFATVNXV3d3dyeiCxcusM7CI2iCynr27FlaWpq6ujp3RgsAagh3Hg5NIE9ogsqKi4sjIkdHx1q1arHOAqDKuCaIiYnBzsZygyaorGvXrhFRhw4dWAcBUHGOjo5aWlr5+fmPHz9mnYUv0ASVdfXqVSJycXFhHQRAxWloaHD38F+/fp11Fr5AE1SKSCRKSEggjAkA5MLZ2ZnQBHKEJqiUO3fulJaWGhsbN23alHUWANXXvn17QhPIEZqgUuLj44moffv22L8eQA64McGtW7ewV4F8oAkq5d69e0TUunVr1kEAeMHKysrAwEAkEj169Ih1Fl5AE1QKd7tjq1atWAcB4AWBQGBvb09E9+/fZ52FF9AEFZPJZNyYwMHBgXUWAL5AE8gTmqBiz58/f/v2rYaGho2NDessAHyBJpAnNEHFuAGBra2thoYG6ywAfIEmkCc0QcWSk5OJqEWLFqyDAPBIy5YtiSg1NfX9+/ess6g+NEHFnjx5QkTNmjVjHQSAR+rVq2doaEhET58+ZZ1F9aEJKsYtfmJlZcU6CAC/cDdyYk9jOUATVAxNAMAEmkBu0AQVEIvFz549IzQBgNyhCeQGTVCB9PR0iUSipaXVoEED1lkA+AVNIDdoggpkZmYSkbm5OVYcApAzS0tLIuIG5VCj0AQV4JrAzMyMdRAA3uEG4i9fvmQdRPWhCSqAJgBghWuCnJwcsVjMOouKQxNUAE0AwErdunXV1NSIKDs7m3UWFYcmqACaAIAVoVBoYmJCmCCqeWiCCuTm5hJRvXr1WAcB4CNTU1MiysrKYh1ExaEJKvDmzRsiMjIyYh0EgI+MjY2JKC8vj3UQFYcmqADXBNz6JwAgZwYGBkT09u1b1kFUHJqgAhgTADBUu3ZtIiooKGAdRMWhCT5FJpPl5+cTxgQAjHBjAjRBTUMTfIpIJCotLaW/fxwBQM64MQFmh2oamuBTSkpKuA90dHTYJgHgJzSBfKAJPkUkEnEfYN9KACa0tLSIiBuaQ81BE3wK9/OnqamJ5ecAmODehGG1iZqGJvgUrgm4dyWgpF68eBEdHf3ixQvWQeBzoAnkA03wKeVjAtZB4DPt2LGjcePGnp6ejRs33rFjB+s4UGVoAvlAE3xKWVkZEamrq7MOAp/jxYsXkyZNkkqlRCSVSv38/DAyUDqxsbFEFBUVxTqIikMTfIpQKCQiiUTCOghUIDExcdSoUebm5lpaWmZmZiNHjkxMTExJSeFqgCORSLgtqUGJ4E4C+UATfAq3Ii6aQMEdPXrUycnp3Llz48aN27hxo6+vb3R0tJOT0+PHj7ku56ipqWEzaqXj7OxMf/8mQs3BvMenoAkU35MnT0aPHt20adOYmJjyJWOnTZvm7u4eEBCwePHiuXPnSiQSNTW1LVu2WFhYsE0LVVW/fn0i6ty5M+sgKg5N8CloAsW3fPny9+/fb9269cOVw42Njbds2dKlS5e0tLS0tLTHjx9bWVmhBpQRd08Pbu2saZgd+hSuCbjzxqCYIiIiLC0t3d3dPzreuXNnS0vLkydPWlhYdO3aFTWgpLj7/LW1tVkHUXFogk/hfv5EItGHJx5BcRQUFGRmZrZu3fpfP+vg4PDixYvCwkI5p4JqhCaQDzTBp+jr63MfvHv3jm0S+Ffcq3z5P9NHuONYskapoQnkA03wKTo6OtzFJ3hfqZi41/r/+tf5dE+AUiguLiY0Qc1DE3yKQCD49GsNsGVgYNCgQYO7d+/+62fv3r1rbm7OLWYJSoq7nwDLwtc0NEEF0AQKrm/fvk+fPr18+fJHxy9dupSWlta3b18mqaC6cDsYY9PAmoYmqACWR1dwQUFBOjo6fn5+r1+/Lj+Yl5c3efJkXV3doKAghtngy3GbBtapU4d1EBWH+wkqYGxsTEQ5OTmsg8C/s7a23r1798iRI1u1auXr69ukSZO0tLQdO3bk5uYePHiwWbNmrAPCF+HGBGiCmoYmqAB3i2N2djbrIPCfhg4damtru3TpUq4A6tat6+HhMXv2bHt7e9bR4EuhCeQDTVABExMTInr16hXrIPAprVq1OnDgAOsUUP1yc3MJTVDzcJ6gAhgTALAiEom4JjAzM2OdRcWhCSqAMQEAK5mZmUSkra2NMUFNQxNUwNTUlP7+iQQAeeJ2FjI3N8dG4jUNTVABS0tLIkpLS2OcA4B/MjIyiAirB8oBmqACXBPk5uYWFRWxzgLAL+VjAtZBVB+aoAIGBgbc/Y0YFgDI2dOnT4moUaNGrIOoPjRBxTBBBMBESkoKEVlbW7MOovrQBBXjmoB7ewIAcsM1QfPmzVkHUX1ogopxb0kePXrEOggAj5SUlDx79owwJpALNEHF7OzsiCgxMZF1EAAeSU1Nlclk+vr63N2dUKPQBBVr2bIlET148IB1EAAe4Ubh1tbWuJlADtAEFbO1tSWi7Oxs7sZ3AJADbgMiLCMoH2iCitWqVatx48aEYQGAHN25c4eIWrduzToIL6AJKoWbILp37x7rIAB8gSaQJzRBpTg5ORFRfHw86yAAvPD27dvU1FRCE8gLmqBS2rVrR0Q3btxgHQSAF7jxt7m5ObdpINQ0NEGltG/fnogePHjw7t071lkAVN/NmzeJqE2bNqyD8AWaoFLMzMwaNGgglUpv377NOguA6ouLiyMiV1dX1kH4Ak1QWZggApCbK1euEJpAjtAEleXi4kJEsbGxrIMAqLiMjIz09HShUOjs7Mw6C1+gCSqrc+fORBQTEyOTyVhnAVBl3NSQg4NDrVq1WGfhCzRBZTk7O2tpaWVnZycnJ7POAqDKuJE3pobkCU1QWVpaWh06dCCiixcvss4CoMrOnz9Pf4/CQT7QBFXQpUsXIoqJiWEdBEBlZWdncysOeXp6ss7CI2iCKuDepERHR+NUAUAN4QYEDg4OWIxantAEVeDm5qajo5OZmYkFiABqyLlz54ioW7durIPwC5qgCrS1tT08PIjo9OnTrLMAqKaoqChCE8gdmqBqvLy8CE0AUDMePXqUlpamoaHh7u7OOgu/oAmqhmuC2NjYt2/fss4CoGrCw8OJyNPTE3cSyBmaoGqaNWtmbW1dVlbGjWEBoBr98ccfRNS/f3/WQXgHTVBlffv2JaJjx46xDgKgUnJycrjlhvr168c6C++gCaps8ODBRBQREVFaWso6C4DqOHnypEwmc3R0bNiwIessvIMmqDJXV9cGDRoUFBRwl7sBQLU4fvw4YWqIETRBlQmFwkGDBhHR4cOHWWcBUBFv3rzhLsnjxtwgZ2iCz8H9sB4/flwsFrPOAqAKjh07Vlpa2rJly1atWrHOwkdogs/h7u5er169vLw8XEEEUC0OHjxIRD4+PqyD8BSa4HOoq6sPHz6ciPbs2cM6C4DSe/XqFXfWbdiwYayz8BSa4DONHTuWiI4fP15QUMA6C4By+/3336VSafv27a2srFhn4Sk0wWdycnKys7MrKSnBeWOAL7Rr1y4iGjFiBOsg/IUm+EwCgWDMmDGECSKAL5OQkJCQkKCpqTlq1CjWWfgLTfD5Ro4cKRAIYmJiHj9+zDoLgLLasWMHEQ0cONDY2Jh1Fv5CE3w+CwuLXr16EdGWLVtYZwFQSsXFxfv37yciX19f1ll4DU3wRb799lsi2rlzZ3FxMessAMrnyJEjBQUFjRs3/uqrr1hn4TU0wRfp3bt3o0aN8vLyfv/9d9ZZAJTPxo0bicjX11coxGsRS/jb/yJqamqTJk0iok2bNrHOAqBkbty4ERcXp6GhMXHiRNZZ+A5N8KV8fX01NDSuXr2akJDAOguAMgkJCSGi4cOHm5qass7Cd2iCL2Vqajp06FAiWrlyJessAEojKyvrt99+I6Jp06axzgJogurw/fffE9GhQ4eePXvGOguActi0aZNYLHZzc2vbti3rLIAmqA5OTk6enp4SiYQb7QLAp7179447V4wBgYJAE1SPoKAgItq2bdubN29YZwFQdFu3bn39+nWzZs0GDhzIOgsQoQmqS8+ePVu1alVUVISLiAA+TSQSrVixgoiCg4PV1dVZxwEiNEF1EQgE3LBg1apVRUVFrOMAKK7du3dnZmZaWFhwK3eBIkATVBsfHx9ra+vc3Nz169ezzgKgoMrKyn799VciCgwM1NTUZB0H/iKQyWSsM6iOvXv3jhkzpk6dOmlpafr6+qzjACic0NDQcePGGRsbP3v2TFdXl3Uc+AvGBNXJx8enefPmeXl5GBYA/JNIJJo3bx4RzZw5EzWgUNAE1UldXf3HH38kohUrVmAvM4CPbN269fnz52ZmZv7+/qyzwP+BJqhmPj4+tra2eXl53GQoAHCKiooWLVpERD/99JOOjg7rOPB/oAmqmZqa2i+//EJEq1evTk9PZx0HQFGEhIRkZ2dbWVmNHz+edRb4GJqg+vXv39/d3b2kpISbKQKA7OzsZcuWEdGCBQs0NDRYx4GP4dqhGnH9+nUXFxeBQHDr1q3WrVuzjgPA2KRJk7Zt29a2bdvr169jKwIFhH+SGuHs7Dxs2DCZTBYYGIiuBZ67ffv29u3biSgkJAQ1oJjwr1JTli5dqqmpGRUVdezYMdZZAJiRyWTTpk2TyWTDhw93c3NjHQf+HZqgpjRp0mTWrFlENH369Hfv3rGOA8DGkSNHYmJidHR0cDWdIkMT1KDg4GBLS8v09PTFixezzgLAQGFh4YwZM4ho1qxZjRo1Yh0H/hPOGNesP/74w9vbW0ND4969ezY2NqzjAMhVQEDAmjVrmjRpcv/+fdxUrMjQBDVLJpP169fv5MmTnp6eUVFRAoGAdSIAOYmPj3d2dpZKpZGRkT169GAdBz4Fs0M1SyAQhISE6OjonD9/fufOnazjAMhJWVnZpEmTpFLpiBEjUAOKD01Q45o1a7Zw4UIimjFjRkZGBus4APKwbt26hIQEQ0PDVatWsc4CFcPskDxIJJKOHTtev369X79+4eHhmCMC1ZacnNymTZvi4uJt27ZNmDCBdRyoGJpAThITEx0dHcVi8YEDB3x8fFjHAagpZWVl7u7uV69e7d69e2RkJN73KAXMDslJy5YtuWWI/P39MUcEKmz58uVXr141MDDYsWMHakBZYEwgP2KxuEOHDgkJCd26dYuMjMRt96B67t69265dO7FYvHv3bmxTrETwYiQ/Ghoa+/fv19HRiYqKWrNmDes4ANWspKRk9OjRYrHY29t79OjRrONAFaAJ5MrW1nb16tVE9MMPP9y5c4d1HIDqFBgYePfuXWNj4y1btmBeSLlgdkjeZDLZgAED/vjjDzs7uxs3buDGS1ANR48eHTx4MBGdPn26V69erONA1WBMIG8CgWD79u2mpqYPHjyYMmUKmhhUQFpamq+vLxEFBQWhBpQRxgRsREdHd+vWTSqVbt++nfsVAlBSYrG4c+fOV69edXFxuXTpErYkU0YYE7Dh4eHB7e49ZcqUW7dusY4D8PkCAwO5y0bDwsJQA0oKYwJmpFKpt7f3iRMnmjZtGh8fb2hoyDoRQJXt2bNn7NixRHT8+HFvb2/WceAzYUzAjFAo3L17t6WlZWpq6siRIyUSCetEAFUTHx/v5+dHRD/++CNqQKlhTMBYfHx8p06dSkpKAgMDly9fzjoOQGXl5OS0a9fu+fPnffv2DQ8Px52SSg3/eIy1bds2NDSUiFasWMF9AKD4SktLhw4d+vz5c2tr671796IGlB3+/dgbNmwYtySRn59fbGws6zgAFZDJZBMnTrx48WKtWrWOHz+OU1wqAE2gEH7++efBgweXlpYOHDjw6dOnrOMAfMrChQv37NmjpqZ2+PBhOzs71nGgGuA8gaJ49+6du7v7rVu3rK2tY2Nj69WrxzoRwL/Yt28ft6bQ5s2budPFoALQBAokMzOzY8eOz549c3Z2Pn/+vJ6eHutEAP/HhQsXevToIRaLg4KCli1bxjoOVBs0gWJJSkpyc3PLy8vr06fP8ePH1dXVWScC+EtCQkLXrl0LCwsHDx7822+/4SyxKsG/pWKxtbU9ceKEjo7OyZMn/fz80NOgIJKSknr27FlYWNilSxdcLKR68M+pcFxdXcPCwoRC4c6dO6dPn44yAOaeP3/eo0eP3Nzctm3b/vHHHzo6OqwTQTVDEyii/v3779y5k4jWrl0bHByMMgCGsrOzu3fvnp6ebmtre/r06dq1a7NOBNUPTaCgxo4du3nzZiJatmzZ/PnzWccBnsrOzvbw8EhOTm7UqNHZs2dxSZuqQhMoLj8/P26Ty/nz5y9dupR1HOCdV69eeXh4PHjwwNzcPCoqqmHDhqwTQU1BEyi0adOmcR0we/bs+fPnY5oI5ObVq1eenp5cDVy4cMHa2pp1IqhBuIpUCSxZsmTOnDlENHPmzF9++QU7xEJNe/nypaen58OHDy0sLKKjo62srFgngpqFJlAOa9asCQgIICJ/f/+QkBBcwwc1JzU1tXv37qmpqRYWFhcuXGjWrBnrRFDj0ARKY8uWLZMnTyai8ePHb9myBTedQU24d+9ejx49Xr582bRp0z///LNp06asE4E8oAmUyZ49e8aNGyeVSvv16xcWFqarq8s6EaiUK1eu9OnT582bNw4ODpGRkaampqwTgZygCZTMsWPHRowYUVJS4uLiEhERgav6oLqcPHly6NChxcXFbm5uJ06cwFrTvILpZiUzcODAqKgoIyOja9euubm5paamsk4EqmD9+vX9+/cvLi728vI6e/YsaoBv0ATKx83NLTY2tnHjxikpKa6urlevXmWdCJSYRCKZNm3a//73P6lU6uvrGx4ejllHHkITKKUWLVrExcW1adMmOzu7a9eue/fuZZ0IlFJRUdGAAQPWrl1LRL/88su2bds0NDRYhwIG0ATKqkGDBjExMd7e3iKRaMyYMTNnzpRIJKxDgTJJTU3lTgloa2v/9ttvs2bNwq0qvIUzxspNKpX+9NNPixcvJqI+ffrs37/fwMCAdShQApGRkT4+Pvn5+fXr1w8PD+/QoQPrRMASxgTKTSgULlq06MCBA9ra2idPnmzfvv3du3dZhwKFJpPJli5d6uXllZ+f7+zsHB8fjxoANIEq8PHxuXTpUsOGDVNSUlxcXHbt2sU6ESiogoKCIUOGzJ49WyaTTZgwISYmxsLCgnUoYA9NoCLatWuXkJDQq1evkpKS8ePHjx8//v3796xDgWK5fv26o6Pj0aNHNTU1t27dum3bNi0tLdahQCGgCVSHsbHxyZMnFy1aJBQKd+3a1aFDh8TERNahQCFIpdLly5e7ubk9ffrU0tIyJiZm4sSJrEOBAsEZYxV0/vx5Hx+f7OxsLS2tZcuW+fv7Y8U6PsvOzh4zZkxkZCQRDR06dOvWrbhxDD6CFwgV5OnpeefOHS8vL5FING3atN69e2dlZbEOBWwcO3bM3t4+MjJSW1t769athw4dQg3AP6EJVJOpqenJkyc3bNigra0dGRnZqlWrw4cPsw4FcpWfnz9q1KhBgwbl5OTY29vfvHlz4sSJuGMA/hWaQGUJBILvvvsuISHB0dHx9evXQ4cOHTJkyMuXL1nnAnk4depUy5Yt9+/fLxQKf/jhh5s3b7Zs2ZJ1KFBcaAIV16JFi6tXr86dO1ddXf3IkSN2dnahoaE4OaTCcnJyxo4d26dPn6ysrObNm8fGxi5ZsgTXCMGn4YwxX9y5c8fX1zc+Pp6IevTosWnTJmxComJkMtmuXbuCgoLy8vIEAsG0adMWL16M5eSgMtAEPFJWVrZq1ap58+aVlJRoaWkFBwfPmjVLR0eHdS6oBg8fPpw8eXJMTAwROTg4bN261cXFhXUoUBpoAt5JTk6eMmVKVFQUETVp0mTNmjX9+vXDiUTlVVBQsGjRopCQELFYrKurO3/+/GnTpmFJUagSNAEfyWSyI0eOBAQEvHjxgoi8vLxWrlzZokUL1rmgaiQSyfbt23/88cecnBwi6tu37/r16xs3bsw6FygfnDHmI4FAMGTIkKSkpODgYA0NjdOnT7dq1Wry5Mm4skiJnD9/3tHRcfLkyTk5Oba2tqdOnYqIiEANwOfBmIDvkpOTZ86cGR4eTkR6enqBgYGBgYG1atVinQv+082bN+fMmXP27FkiMjIymj9//uTJkzEdBF8CTQBERJcvXw4KCuI2wqxfv35wcLCfnx8uO1E0iYmJP/7447Fjx4hIXV198uTJP//8c926dVnnAqWHJoC/yGSyo0ePBgcHP378mIhMTExmzZqFPlAQSUlJS5Ys2bdvn0wmEwgEo0ePnjdvHq4DhuqCJoD/QywW79mzZ9GiRWlpaURkYmISFBTk5+eH+SJWEhISli5deuTIEe5XddCgQQsWLMANw1C90ATwLz7qA0NDw2+//fZ///tfgwYNWEfjC5lMdunSpSVLlnBriBKRt7f33Llz27VrxzYYqCQ0Afwnrg9+/fXXlJQUItLQ0Bg1atSMGTPs7e1ZR1NlIpHo0KFDa9eu5W4IV1NT8/HxmTVrFv7aoeagCaACEokkIiJi5cqVly9f5o54enp+++233t7euF6lemVmZm7evHnLli3Z2dlEpK2tPXbs2JkzZ+J8ANQ0NAFU1tWrV1euXHn06FGpVEpEpqamEyZMmDhxYqNGjVhHU24SieTs2bM7duwIDw8vKysjIgsLiylTpkyYMMHY2Jh1OuAFNAFUzbNnz7Zv3759+3buNjShUNizZ8/Ro0d7e3vjKqOqSk1N3blzZ2hoaEZGBnekU6dOU6dOHTBgAMZbIE9oAvgcYrE4PDx88+bN586d447o6+sPGTJk9OjRXbp0wWaZn5aTk3P48OGwsDBuwTgiqlOnzqhRo3x9fR0cHNhmA35CE8AXSUlJ2bdv3969e58+fcodMTc3HzRo0ODBgzt16qSmpsY2nkJ58+bNsWPHwsLCzp07J5FIiEggEHTr1s3X19fb21tbW5t1QOAvNAFUA5lMFhsbu3fv3kOHDhUUFHAH69WrN2DAgEGDBnXt2pXPL3NPnz6NiIj4448/YmJixGIxd7Bt27bDhw//+uuvcZYFFAGaAKpTSUlJVFTUkSNHwsPD8/PzuYM6OjoeHh69evXq1auXlZUVH1bAFolEcXFxkZGRERERiYmJ5cdbtmzp4+MzbNgwKysrhvEAPoImgBohFosvXrx49OjR48ePZ2VllR9v2rRp9+7d3d3dO3fu3LBhQ4YJq51EIklISDh37tz58+cvX75cXFzMHVdTU3N3d+/Xr1+/fv2sra3ZhgT4V2gCqFkymezevXtnzpw5c+bM5cuXy6dHiMjS0tLd3d3d3d3Z2dnOzk4Zr5bJy8u7du1aXFxcXFzc9evX3759W/4pExMTT0/Pvn37enl5GRkZMQwJUCE0AchPYWFhdHT0xYsXY2Jibt26xZ015Whra7du3bpdu3Zt27Z1dHS0sbFRwG01ZTJZVlbWnTt37t69e+fOnYSEhEePHn34AAMDg65du3p6en711Vd2dnZ8mAcD1YAmADYKCwvj4uIuXbp0+fLlhISED99NE5FAIGjSpEmLFi3s7OxatGjRtGlTS0tLc3NzdXV1uSV8//79kydPHj9+nJKSwv333r17r1+//uhh1tbWrq6urq6uHTp0sLe3l2dCgOqCJgD2pFLp48eP4+Pjb968GR8ff+/evby8vH8+TE1NzcLConHjxo0aNar/gXr16hkZGdWqVatWrVp6enqVuZtBKpUWFha+efMm/2+vX7/OysrKyMjIyMjIzMzMyMjglnz4ZwYbGxsHBwcHB4fWrVu7uLhgewBQAWgCUDgymSwnJ+fBgwcP/5aWlvbs2bMPzzF8gp6enp6enrq6ulAoVFNT4/4rk8lEIlFJSYlIJBKJRKWlpZV5KkNDQ2tra2traysrKysrq5YtW9rZ2fH5ilhQVWgCUA5SqfTly5dpaWlpaWkvXrzIycnJ/kBBQUFRUVFVf5i1tLSMjIyMjIwMDQ3r1KnToEEDc3Nzc3NzMzMzc3Pzhg0b4v0+8ASaAFSETCYrLi4u+ptEIpFKpVKplPuAiLS0tLS1tbX+pq+vr4AnpQGYQBMAAPAdVgoDAOA7NAEAAN+hCQAA+A5NAADAd2gCAAC+QxMAAPAdmgAAgO/QBAAAfIcmAADgOzQBAADfoQkAAPgOTQAAwHdoAgAAvkMTAADwHZoAAIDv0AQAAHyHJgAA4Ds0AQAA36EJAAD4Dk0AAMB3aAIAAL5DEwAA8B2aAACA79AEAAB89/8Alver6ALkghEAAAAASUVORK5CYII=", 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<image>
# 顶点坐标 coordinates = {'O': (0.12, 0.02), 'R': (0.5, 0.69), 'B': (0.0, 0.98), 'W': (1.0, 0.4)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': [], 'B': ['W', 'R'], 'W': ['B', 'R'], 'R': ['B', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'I': (0.0, 0.07), 'L': (1.0, 0.07), 'B': (0.5, 0.93), 'J': (0.25, 0.5)} radius = 0.0 connection_dict = {'I': ['L', 'B', 'J'], 'L': ['I', 'B', 'J'], 'B': ['I', 'L', 'J'], 'J': ['I', 'B', 'L']}
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", 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<image>
# 顶点坐标 coordinates = {'Y': (1.0, 0.5), 'K': (0.75, 0.93), 'A': (0.25, 0.93), 'L': (0.0, 0.5), 'V': (0.25, 0.07), 'Q': (0.75, 0.07), 'H': (0.37, 0.28)} radius = 0.0 connection_dict = {'Y': ['K', 'Q'], 'K': ['Y', 'A'], 'A': ['K', 'L'], 'L': ['A', 'V', 'H', 'Q'], 'V': ['L', 'Q'], 'Q': ['V', 'Y', 'H', 'L'], 'H': ['Q', 'L', 'Y']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'X': (0.95, 0.39), 'J': (0.72, 0.77), 'K': (0.28, 0.77), 'H': (0.05, 0.39), 'U': (0.28, 0.0), 'V': (0.72, 0.0), 'R': (0.16, 0.21), 'Z': (0.28, 0.89), 'W': (0.41, 1.0)} radius = 0.0 connection_dict = {'X': ['J', 'V', 'W', 'Z'], 'J': ['X', 'K', 'R', 'V', 'Z'], 'K': ['J', 'H', 'Z', 'W'], 'H': ['K', 'U', 'R', 'W'], 'U': ['H', 'V', 'R', 'Z'], 'V': ['U', 'X', 'J'], 'R': ['J', 'H', 'U'], 'Z': ['J', 'K', 'U', 'X'], 'W': ['X', 'K', 'H']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.52, 0.63), 'F': (0.41, 0.09), 'U': (0.0, 0.81), 'P': (0.21, 0.45), 'Z': (1.0, 0.91)} radius = 0.5513143051259363 # 连接关系 connection_dict = {'O': [], 'F': ['U', 'P'], 'U': ['F', 'P'], 'Z': ['P'], 'P': ['Z', 'U', 'F']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'G': (0.0, 0.37), 'K': (1.0, 0.37), 'A': (0.0, 0.63), 'C': (0.07, 0.62), 'F': (0.21, 0.37)} radius = 0.0 connection_dict = {'G': ['K', 'A', 'C', 'F'], 'K': ['G', 'A', 'C', 'F'], 'A': ['G', 'K', 'C'], 'C': ['K', 'A', 'G', 'F'], 'F': ['G', 'K', 'C']}
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", 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<image>
# 顶点坐标 coordinates = {'B': (0.98, 0.5), 'T': (0.61, 1.0), 'A': (0.02, 0.81), 'Z': (0.02, 0.19), 'K': (0.61, 0.0), 'W': (0.61, 0.81), 'E': (0.74, 0.42)} radius = 0.0 connection_dict = {'B': ['T', 'K', 'E', 'Z'], 'T': ['B', 'A', 'W', 'K'], 'A': ['T', 'Z', 'W'], 'Z': ['A', 'K', 'E', 'B'], 'K': ['Z', 'B', 'W', 'T'], 'W': ['K', 'T', 'A', 'E'], 'E': ['Z', 'B', 'W']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.48, 0.42), 'W': (1.0, 0.42), 'K': (0.85, 0.78), 'B': (0.92, 0.6), 'E': (0.0, 0.22)} radius = 0.5197830649482901 # 连接关系 connection_dict = {'O': ['W', 'K', 'B'], 'W': ['O', 'B', 'K'], 'K': ['O', 'B', 'W'], 'B': ['W', 'K', 'O', 'E'], 'E': ['B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'H': (0.21, 0.5), 'L': (0.5, 1.0), 'B': (0.79, 0.5), 'J': (0.5, 0.0), 'C': (0.5, 0.5)} radius = 0.0 connection_dict = {'H': ['L', 'J', 'B', 'C'], 'L': ['H', 'B'], 'B': ['L', 'J', 'H', 'C'], 'J': ['H', 'B'], 'C': ['H', 'B']}
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", "path": null } ]
<image>
# 顶点坐标 coordinates = {'O': (0.87, 0.75), 'B': (0.72, 0.0), 'T': (0.14, 1.0), 'U': (0.89, 0.85), 'K': (0.11, 0.91)} radius = 0.769800358919501 # 连接关系 connection_dict = {'O': ['U', 'B', 'K'], 'B': ['T', 'U', 'O'], 'T': ['B', 'U'], 'U': ['O', 'B', 'T'], 'K': ['O']}