{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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U9Oe4dOt21TrVZ1nVnVoEno6ODrZs2YLr16/j6tWryh6OylOVNL2GzLK+y7ytCbqYmULw9L/vqJr0MLTa/AYTJkyAo6Mj1qxZoxFHPHlzc3NDSEgITt+4BbvpnjgbGSX20RigIlPjbGQU7KZ74vSNWzLN1JB2lvVdL1+9xtOcXJhXm2zRpIehVXpWszoWi4Vt27bhww8/xKlTp/D555/XeF9baog0hCpkalTOsha8LsTj/8+IAWrOsBq3bIGvD4XgE5fBMG9rjMeZ2fhy/xG0bdUKk/7/e6DGPQzNMExTXgo3duxYpnv37kxMTAzj5eXFcO3tGX19fQYAo6+vz3Dt7RkvLy+Gz+crY3gqi8/nM15eXkzLFi0YHQ6n6t/LgcuV67/X5cuXGQDMN/OmM6iYjKvxmjlmOFMU8SszcqA9065NK0ZXR4fpbGbKzBwznHnyy3FGFH2ZEUVfZk77rGcAqMP/V6liRy1mNau7dOkSJowfD6FIRK2+GsHMzAyenp5Yv369XK8QiouLsXv3bnz33XcoKyuFuYkxEkMOKH2WVQGkmtVUm0tN4L/s9o7t2+H7RR5aWUOkKYqLi5GdnY3OnTvLLegYhsEvv/yCFStWID09HQsXLsT06dPxwQcfwNPXr1EPQ1fOsobJ8Hk4ZVObwJNVdrs2S09PBwB06dJFLttPTEzEkiVLEB4ejlGjRuHixYvo3bsi/UzVnodTOmmvSSW8FCIlJYUxNDRkpo8expT/+VvVdX/pzUvMulmfM13N2zMGenpMtw5mzNdzp9dYp/zP35jpo4cxhoaGjEAgUNSQVdLVq1cZAExaWppMt5ubm8t88cUXDJvNZnr06MFcvHiREYlEtdY7ceIEY2hoyFhadGBO+6xnSm9eqvr/VP1VevMSc9pnPWNp0YExNDRkQkNDZTpeOdOc73iSWn19d+RH7P7pHI5sWA4byy6IvSfA7O++xyaPmVg8ZWLVemr2HUFugoKCMG/ePBQXF0NPr/6y+fUpKyvD/v37sXHjRohEImzcuBFeXl51bvvdJ9Drm2U9KKfn4eRIM77jVWa3n/HZUOvyJCbxHsZ/MAhjBw8EAHQ1N8NPVyPBv59SY73Kbi+T125GXFycRiTZNkZ6ejrMzc1lEnRhYWFYunQp7t+/j3nz5mHTpk0wNTWt93Oq8jycsql84NXV7WWwnQ0OnruElPRn6NG5IxIEDxGVkIxdS+bXWlfTstsb48mTJ+jcuXOTtpGSkoLly5fj4sWLGDp0KEJDQ/H+++83eDvKfh5O2VQ+8OrKbl89/TO8KixC78/ngcNmQygSYfP8mXAb6VJrXU3Lbm+Mx48fN3pi5dWrV9i0aRP27NmDDh064Oeff8Ynn3wC1ruPsDeSNgUdoAaBV1cNkZPXbuBEWDhOfLMaNt26IF6QhqW7D6JDWxPMHDui1vqyrCGiDsQ1KtHR0YEDlyt1oxKhUIjDhw/jyy+/RFFRETZu3Ihly5bB0NBQQb+FZlLpwKsvu32V/yGsnv4ZPh/hDADoY9UNT7JysPXYSbGBpy2tvmRVQu+PP/7A4sWLER8fj+nTp8PHxwcWFhZK+I00j0oHXn3Z7W+KS2oFEIfNhkjCTK0mZbdLIosSeo8fP8aqVavw888/Y8CAAYiOjpZLuQVtptKBB9Sd3T5uyEBsOfITOrdvBxvLLvj7QRp2/XQOvI9Hil1fk7LbxWlqkkFxcTEePnyI7du3w9jYGMeOHcO0adM0+kClLCofeHW1+tqzzBMbAo5h4Y69yMkrQId2JvCY+BG+mj2t1nY0Lrv9HU0toccAmDd3Ljg6Oli5ciXWrFmD5s2by3fQWkzlb6DHxcWBy+VK7PYirQZ0e1FLri4ueJCciL7duyEh9aHYEnrZeflYszcIV27HoeDfInz4vi32LPeEdScLFL0thu20+ejQpRtuafHMrwxoRukHe3t7uDg7Y6V/kNRPUr+r6G0xVvkfhouzs0YGnTQl9BiGwaTV3+BhRhZ+2bYRcUf90dnMFCMWrUXR2+KKEnqL5iE6JkZujUrIf1Q+8ADVqSGiqqqX0Ns8f1ZVE5LqBE+fIybpPvat9EL/93qiZ5dO2LfSC4Vv3uLHqxVpdNWTDIh8qUXgqUoNEVUlTQm9ktIyAIBBtXQxDocDPV0d/JmQDEA2SQZUlkM6ahF4QONqiNi4eeB05J8a3+orKTkZdtbd61ynV9dO6GJminX7g5H/+l+UlpVh67GTyHqZj8yXeVXr2VlbIjEpSep9y7rPnbZQ+VnN6hpaQ0RfTw/jJ0zQ6KCTtoSero4OTvtswNwtu2Ay6lNwOGwMd+hXq3+etEkGsu5zp23UKvCAhmW3R0dHw9vbG3fu3EH//uIbNKq7hpTQ4/ayxt/H9uFVYRFKy8rQrk1rDJqzGNxe/5XGlybJQJZ97rSV2gVeJWmy2/v27YuAgAB4eXkhOjpaY28EN7SEXqvmRgAqJlxi7wvwrceMqvcqkgzEN3cEqBKArGjMX6K4oNLR0YGfnx9u376No0c1Nzl6kKMjrt75GwWvCxGfkob4lIogrCyhl56VAwD4+fofiIxLwMPnmfj1j2iMXLQWEz90xMiBFT3mysuFCPsrFg9SBFi/fj0ePHhQYz/v3qSXtnBR5U1691GumDt3LlJTU2X426spaR9Vl/BSC25uboypqSlTUFCg7KHI3O3bt5l+/frVW0JPFH2Z2b10AdPRtG1VCb0vZ7kxxX9cqFVCb+LEiUyrVq0YAMyAAQMYPz8/Jjc3l3Fxdma6d+zA/Bv+S41SDV3MTMXu94v/fVxjvX/Df2EsLTowLs7Oyv5nkyfNKf3QVM+fP0fPnj0xb9487Nq1S9nDkYnHjx/jyy+/RGhoKGxsbKCjo4N/X+TKrFFJcXExLly4gOPHj+P3338HwzAQCoViM4hy8wsgrHYbISntMUYuXofwvdvgbF+zRbKmZxBBUzJXZMHCwgLr16+Hn58fkpOTlT2cJikoKMDq1avRq1cvhIeHIzAwEPHx8Th9+rRMkwwMDAzw6aef4vz588jIyMDgwYNhZmIsthJAuzatYWZiXPW6+OdtdLcwx9B+fWutSzfpK2hF4AHA0qVLYWlpiUWLFqGJZ3mlKC0thZ+fH6ysrODv7481a9ZUfefS0dGRa5JBu3btUFRYiFED7evtc1daVoYTYeHgfTxK7NPpVAmggtYEnr6+Pnbv3o3w8HCcOXNG2cORGsMwOHfuHGxtbbFkyRJMmjQJAoEAX3/9da2nB+TZqESam/QA8MuNaBQUFmKWmAeRKzX0Jr0mUtvbCY0xZswYfPzxx1i+fDnGjBmDZs3q79umTH/99ReWL1+OP//8E6NHj8aZM2fQp0+fOj8jj0YlDelzd/jiZXw0qD86tDORuI62VAKoi9b91rt27UJWVha2bt2q7KFI9OjRI3z++ecYNGgQ/v33X4SFheH333+vN+gqVSYZ8Pl8TPpsCv7Jyce6g0cxd8surDt4FP/k5GPSZ1PA5/NxPTy83owSaW/SP8nMxrU78ZgzfnSd62lDJYD6aNUZD6j4o1yxYgV8fX0xa9YsWFpaKntIVfLz8/Hdd9/Bz88Pbdu2xeHDhzFjxgxwOPX3DxdHliX0pLlJH3zpCkzbtMJYpwF1rqfplQCkofKHHHlku69btw7t2rXDsmXLZL7txigpKcGuXbvQvXt3HDhwAOvXr0dKSgp4PF6jg06cppxhHJ2ccC02QeJ3RpFIhCOXrmLGmBF1TsBUVgIY5OjY6LFoApULPEVkuxsZGWHHjh349ddfERYWJoNRNw7DMPj555/x3nvvYcWKFfj000+RmpqKDRs2wMjISGnjEofH4+F5Ti4uRMWIff/anb+RnpWD2RLq3VQ6HxWN5zm54PF48him2lCZG+jist3l2feOYRi4uroiIyMDiYmJMilr3hC3bt3CihUrEB0djbFjx2Lbtm2wsZGcI6kKXF1c8ESQIrOb9BpKqhvoKhF41bPdt3vNkSrbPTMvv8nZ7omJiejXrx98fHywcuXKpvwKUktLS8OaNWtw+vRpvP/++9ixYweGDRumkH03VWpqKvr27YvJQ50a1eeOt2knTt+4hbt372ryI0LqkblSme0+eagTEo7vwyTnwRK/I1Rmuycc34fJQ50wbdo0hIaGNnrfffr0gaenJ7799ltkZGQ0ejvSePnyJZYuXYrevXsjJiYGR48eBZ/PV5ugA6gSgCwp9YwnEAhgZ2en1CNofn4+evTogdGjR+P48eNi99OUSYmSkhL4+/tj8+bNEAqFWLt2LZYsWaLWJdCrX6H4es3G+CGOEq9QzkdFY5X/YZlcoagJ6ZpJSJtNLeHVJC7OzkyHdibM6EEOjHlbYwYAc3brVzUy2l9fP8d4fjKOsWjXljHQ02N6denE7F3pJdNs98DAQAYAExUVxfD5fMbLy4vh2tsz+vr6DABGX1+f4drbM15eXgyfz5dqmyKRiPnxxx+Zrl27MhwOh/niiy+Y7OzsJo1TlQgEAsbF2ZkBwFiYtmNmfDSc2bnIgzm0bimzc5EHM+Oj4YyFaTsGAOPq4qJNTUGlih2lBV5sbCwDgPlylhuzbtbnVY+kvBt4c8aPZrpbmDPhe7cxD88eYQ6sXsRwOGzm3LaNNR5lkTYgxBEKhYytrS3TsmWLqj+kmWOGM98vns8cWreU+X7xfGbmmP/+kFycnev8Q/rjjz+YAQMGMACY8ePHM/fu3Wv02FRd5YHKgcutcaBy4HIbdKDSIFLFjtJuoFcvSVfXfZ+YpHuYMWZ41eMlHhPHIOCX3xB7LwUTPnSUSd+7n376CakCAUxbt0Tw2iWNLmWQkpKCNWvW4Ny5c+ByuYiIiICzs3OjxqQutL3PXWMp7V9ImpJ0ADC4rw0uRMXgec4LMAyDCH4CUp4+x6hBFU9NNzXbvXJy51OXIUj+MbBRkzsvXrzAokWLYGNjAz6fj5CQENy+fVvjg04cCjrpKO2MV1ffu+r2LPsCHj4/oNMEd+hwOGCz2QhcuxhD7P5LOWps3ztZ9BvgzZoFvf/PO9y8eTMWLVqk1hMnRDGUEngNyXbfc+pXxCTfw6++X6OLuSn++DsJC3fshbmJMYYPqLjEaWy2+3wPD3QwaYN9q7xrfO7rQ8fxbdCJGuu2N26DzEs/Vv3MZrOxf5U3/vg7EYyeHvj8OLRr107qfRPtppTAkzbb/W1xCb48cARnt27A2MEDAQB9rSwRL0jDztAzVYH3qrAIbDYb48aNQ48ePdCjRw9YW1ujR48e6Nixo9hgrOw3cMZng9gsDBvLLri6x6fqZ46YbRgZGuD7JR6YvHYznj59SoFHpKa0S01pst3LhOUoKy+vt/lkguAh2puags1m47fffoO/vz/Ky8sBVJQwsLa2rgrEyqAMDg5Gx/amYksZAIAOhwMzE+N6fw9ZTO4Q7aO0wKvse1fwuhCPs7KrlleWpDNu2QKdzUwxtF8frPI/BEN9PXQxa48bf9/F8d+vY+diDwD/Zbt/8tkU+Pn5AQDKysrw5MkTpKSkICUlBQKBACkpKQgNDUV6ejqAisCaNspF4kSK4OlzWIybCn1dXQy06YXvFsyCpYV5rfWolAFpDKVlrlT2vftm3nRsDKydMTJzzHAEb1iBrJd5WLc/GFf+ikPe63/RxcwU8yZ+hKWf/w8sFqvBVavevn2LtLQ0cO3tsdVzNpZ8PqnWOr9H38Gb4hL06GSB7Lx8fHfkR9x/8gxJoQdh0qplrfV3/XgW6w4eRXFx49qIEY2i+knSysp2F4lE4HA4OLRuKWaPGyXVfqwm87DSfTKWuX1S6/3DF8Iwd8suCIVCmk4nqp8kray+dw3pNwBUTKL06d4VgqfiE6mplAFpKKX+pSgz270h/QZKSktx7/FTmEuYbKFSBqShlH6IlmdJurrUVcpgxZ5A3Ii7i0cZWfgr+T4+XfcdXhe9wcwxw8WOiUoZkIZSiQdhgdpPoNdXku5gPSXp6lM5uSOuJLnbBh/8EZ+IFwWv0a51Kwyy7YVvPWbgvW5dam1HC0qSk4ZR/ckVcar3vUtMSqrR926QoyN4PJ7M/sCplAGRA/UMvHfJM9udShkQOVD9WU1pyHOmkEoZEGVR+TOeIlApAyJDmnGpqSjVJ3faG7fBqIFcuU7uEI1FgdcYsbGxcHR0hJ6uLoT///iSvCZ3iEaSKvC0rnfCuypnUaNv3UJScjJKSkrAZrFg2LIl3KZOxcyZM+Hg4KDsYRINo7VnPEVXriZagy41JVFW5WqiFSjwxKksbuQ+yhX7VnlLdeO86G0xPH39EBIWjpCQEEydOlUBIyVqigLvXapQuZpoPAq8d7m6uCA9NQXxx/5LEdt/9iIOnL2Ix5k5AAAby87YMHsaPnLsX+vzlCJGpECBVx2fz4eDg0OtpOgLN2PA4bBh1bEDAODob9ew48RpxB31h41l11rboaRoUg/NSBmTlcrK1e8WNxr3wSCMcRqAHp07okfnjvhuwSw0NzRATNJ9sdupXtyIkMbSmvt40lSuFgqF+Dn8JoqKS+DYp7fYdai4EZEFrQm8uipXJ6Y+gpPHUhSXlqK5oSHObt0g9tm7So2tXE1IJa241KyvcnXPLh3x99F9iA7cjQWTxmLWpp3459ETidurXrmakMbQisCrr7iRnq4urDp1gEPvHvDxnA07q2744eQvErdHxY1IU2nNX05DihsxDFBaVibxfSpuRJpKawJPUnGjdfuDcTM+CY8zs5CY+ghfHjiCyL/vYuooV7HboeJGRBa0JvB4PB6e5+TiQlRMjeXZefmY8Y0vek2Zh+GL1uB28n38vmszRgwQf4/ufFQ0nufkgsfjKWLYRENpzQ10gIobEYWgG+jvUlblakLepVWBR8WNiKrQqkvNSlTciMgRJUnXpfoT6GYmbTByABU3IjJBgSeN27dvw9HREZ06dkRWdjYVNyJNRcWOpKGvrw+RSISQEycwZMgQuVauJqSS1v+FxcbGgsVi4f333wcg38rVhFTS+r8yPp+P3r17o3nz5soeCtEiFHh8PrhcrrKHQbSMVgdeWVkZEhISKPCIwml14CX/f+VoqhRNFE2rA4/P54PNZldNrBCiKFodeLGxsejVqxeMjIyUPRSiZbQ68CpL/hGiaFobeKWlpbh79y5NrBCl0NrAq5xYocAjyqC1gUcTK0SZtDrwevfuTRMrRCm0NvBiY2PpMpMojVYGXnFxMe7evUszmkRptCLw4uLi4O3tDQcuFwYGBjA0NER5WRn27d0Lb29vxMXFKXuIRMto9IOw1OecKIF2P4FOfc6Jkmhv4FGfc6JE2hl41OecKJl2Bp64PucA8DznBdbsC8Lv0bF4W1KKHp0tcGjdUnB7Wdf4PFWLJk2kfZWk+Xw+IiIj4btwTo2gy3/9L4bMXwZdHR389v1mJP94EDu856F189o3z40MDeDrNRsRkZE020nkRqOqjEnqc74t5Gd0at8Oh9cvr1rW1dxM4naq9zmn0n5EHjTqjCepz/mFmzHg9uqBz9ZtRvsxU2A/YyECf/1d4naozzmRN40KvKTkZNhZd6+1/GFGJg6cuwirTha4vOs7zJ80Bou/349jv12TuC07a0skJiXJc7hEi2nMpWZdfc5FIgYOvayx5YuKnnb9eloh+dETHDh3ETPGDBe7vep9zqnWJpE1pf1FNbRNVn3q6nNu3tYYvbt1rrGsd9fOSM/Klbg96nNO5Elhf1Xv5ktyOBwYGBjAgcuVWb5kd0tLsX3OB/d5Dynpz2osS0l/ji5mphK3RX3OiTzJPfBSU1Ph6uICLpeLc6dOwtbMGD4LZuHQuqXwWTALtmbGOHfqJLhcLlxdXJCamtqg7efl5cHf3x9cLhf/3LuHyzH8Wn3Ol3w+CTFJ97HlyE9IfZqB0LAIBP76GzwnjxO7TepzTuRNrjfQ5ZUvKRQKcf36dRw+fBjnzp2DSCTCxx9/jA8//BDLli3DGZ8NmOQ8uMZnLkb9hXX7gyF49hzdzM2w1O1/mDfhI7HbPxsZhclrN4PP59PtBNJQys1ckUe+5MOHDxEcHIyjR4/i6dOneO+99zB79my4u7ujffv2AKjPOVE65QWeLPMlO3TogDNnzuDw4cOIjIxEy5Yt4ebmBh6PhwEDBoDFqvl7pqamom/fvpSrSZRFeSlj8z080KZ5M+QWvEKnCe5gO47GLzduSV5/6w9gO47G7p/Ogc1mY98qb5gZt4aLszPMzMwwY8YMsFgsHD9+HJmZmThw4AAGDhxYK+gA6nNO1IPMA68yX5I3diTse1nBb7lnnev/cuMWbv/zAB3amlQtMzI0wHavOXj2/DmmTJmCtLQ0hIeHw93dHc2a1b5P9y43NzeEhITg9I1bsJvuibORUbUmXCqVlwtxNjIKdtM9cfrGLZw4cYKexyNyJ/Mb6JX5khvnuIudSKnuec4LeO/ch8u7N+Pj5V/VeK8yX9LAwACWlpYNHsfUqVMxYMAAeMybh8lrN8PCtB2Gce1q9TkP+ysW2XkFcHVxQRj1OScKIvPAk5Qv+S6RSIQZ327HimmTYWPZtfbAZJAvaWVlhfCICMTFxSE4OBgx0dE4GX60Rp/zUoaF4cOH4+rVq43eDyENJfPAS0pOxrQPZtW73rbjp6DD4WDRZxMkrmNnbYmT4UebPCZ7e/satwWqp4H5+/tj6dKlyMjIQIcOHZq8L0KkIdPveHXlS1bHvy/AnlO/Inj9crETJJWq50vKUvWZzunTp0NfXx+BgYEy3QchdZFp4NWVL1ndzfgk5OQXoMuk6dAdMga6Q8bgSVYOVvgFotukGVXrKSJfslWrVnB3d0dAQADKysrkth9CqpP5paatjY3YfMnqpn80DMP796uxbPSSL+H+0TDwxo6oWqaofMkvvvgCBw8exPnz5/HJJ5/IfX+EyDzwHJ2ccO7USRS8LsTjrOyq5Y8yshCfkgbjli3Q2cwUJq1a1vicrg4HZsZt0LNLJwD/5UtO+myKrIdYi52dHQYPHox9+/ZR4BGFkPk1HI/Hw/OcXPid/hX2MxfCfuZCAMDyPQGwn7kQGwOPSbWd81HReJ6TCx6PJ+shirVw4UKEh4fj3r17Ctkf0W5ySRlTx3zJkpISdO7cGVOmTMGePXsUsk+ikZSXMhYQGIjMvHx4+vo1eEZSJBLB09cPmXn5CFDgTKO+vj7mzp2Lo0ePorCwUGH7JdpJLoGnrvmS8+fPR2FhIUJDQxW6X6J9FPY8nq/XbIwf4ijxebzzUdFY5X9Y6f0LJk6ciEePHiE+Pr7Oe4yESKAalaTf7dgjLl/yOr+iY4+riwsOKjlf8sqVKxg1ahSioqIwePDg+j9ASE2qEXiVqudLJiYl1ciXHOToCB6PpxJPe4tEIvTs2RMDBgzAiRMnlD0con5UK/Depcpl877//nusWbMGz549g6mp5IJIhIih2r0TVDXoAGDWrFngcDg4dOiQsodCNJTGdQuSlTlz5uDq1at49OgROJy6H3EipBrVPuOpOk9PTzx9+hSXLl1S9lCIBqIzXh0GDhyINm3a4PLly8oeClEfdMZrKk9PT4SFhTW4yC4h9aHAq8Nnn30GY2Nj7N+/X9lDIRqGAq8OhoaGmDNnDoKDg/HmTd0P9xLSEBR49Zg/fz4KCgpw8uRJZQ+FaBCaXJHCmDFjkJubizt37ih7KET10eSKrHh6eiI2Nha3b99W9lCIhqAznhSEQiGsrKwwdOhQHDlyRNnDIaqNzniywuFwsGDBAvz00094+fKlsodDNAAFnpRmz54NhmEQHBys7KEQDUCXmg0wffp03Lp1CwKBQKWTvIlS0aWmrHl6euLhw4cICwtT9lCImqMzXgMwDAMulwsLCwtcuHBB2cMhqonOeLLGYrHg6emJS5cu4fHjxzXek3V/B6LZ6IzXQEVFRbCwsMDEiRPRokULRN+6haTk5KpSFrY2NnB0clKZUhZE4VS79IO6Sk1NxTBXV6Q/fQoL03YY7mAHO+vuaGnUDK+L3iBBkIZrsRXFm1ycnREQGEjNLrULBZ6sVZYrNDNujR1eczFuyCCJ5QovRMVgpX+Q0ssVEoWjwJOl0NBQuLu7w32UK/at8paqNH3R22J4+vohJCwcISEhmDp1qgJGSpSMAk9WBAIB7OzsMHmoE4I3LG/QPTyRSATepp04feMW7t69S5edmo8CT1ZcXVzwIDkRfbt3Q0LqQ2S+yMPZrV9h4lAnAEBZeTnWHzyK32/dwcOMTLRqboThDv3g4zkbHdqZKKUJC1Eaup0gC3w+HxGRkeCNHQn7XlbwW+5Za503xSX4+0Eq1vOmgn/EH2d8NiDl6XNMWPU1AMDI0AC+XrMRERmJuLg4Bf8GRBXJvDGlpjly5Ag6tjfFxjnuYidSgIpe7Vf2+NRYtmfZFxg4ZzHSs3LQ2cwU44c4wsK0HYKDg+k2A6EzXn2ib93CMG5fiUEnyavCIrBYLLRuYQQA0NHhYBjXDjHR0fIYJlEzFHj1SEpOhp119wZ9prikFGv3B2PqSGe0NDKqWm5nbYnEpCRZD5GoIQq8OohEIpSUlKClUTOpP1NWXg63r3wgEomwd6VXjfdaNTdCSUkJpZcR+o5XFzabDX19fbwukq7CWFl5OaZ8uQWPMrJw3X9bjbMdUHH5qa+vT48UEQq8+tja2CBBkFbvepVBJ3j2HOH+22DSqmWtdRIED9HH1lYewyRqhgKvHo5OTjh36iQKXhficVZ21fJHGVmIT0mDccsW6NDWBJ+u24y4B6m4sONbCEUiZL3MAwAYt2wBPV1dlJcLcZ2fgEmfTVHWr0JUCcMwTXlpPD6fzwBgvpk3nUFFwkCN18wxw5mHZ4+IfQ8AE753GyOKvsyc9lnPAGD4fL6yfyUiX1LFDmWuSMHVxQVPBClIOL5PqhzNd1HmilahzBVZCQgMRGZePjx9/Ro8IykSieDp64fMvHwEBAbKaYRE3VDgScHKygpBQUEICQsHb9NOFL0tlupzRW+Lwdu0EyFh4QgKCqIEaVKFLjUboPJ5PHPjNvD1mo3xQxwlPo93PioaK/2DkJVXQM/jaRd6OkEeUlNT4TFvHiIiI2Fh2g7DuHaws7ZEq+ZGeFVYhATBQ1znVzyBbmpqij///JPOdNqFAk+e4uLiEBwcjJjoaCQmJVXVXOlja4tBjo5o3749NmzYgJs3b2LIkCHKHi5RHAo8RRKJRDUyUkQiEfr37w89PT3cunULLJZU/z+I+qNZTUV6Nw2MzWZj+/btiImJwdmzZ5U0KqKq6IwnZ2PGjIFAIMA///wDXV1dZQ+HyB+d8VTBtm3bkJaWhoCAAGUPhagQOuMpwOzZs3Hx4kWkpqaiZcvaydNEo9AZT1V8++23+Pfff7F9+3ZlD4WoCAo8BejYsSOWLl2KnTt34vnz58oeDlEBdKmpIK9evUL37t0xceJEHDp0SNnDIfJDl5qqpFWrVvjqq68QHByMJKq7ovXojKdApaWleO+999CrVy9cvHhR2cMh8kFnPFWjp6cHHx8fXLp0CRH0XJ5WozOegjEMg0GDBkEkEuGvv/6iwkeah854qojFYmH79u2IjY3FqVOnlD0coiR0xlOSCRMmIDExEffu3YO+vr6yh0Nkh854qmzr1q148uQJ9u/fr+yhECWgM54SzZ8/H6dPn0ZaWhpat26t7OEQ2aAznqr7+uuvUVxcDB8fn/pXJhqFAk+JzM3NsWLFCvzwww9IT09X9nCIAtGlppL9+++/sLKywujRo3H06FFlD4c0HV1qqoMWLVrgm2++wfHjxxEfH6/s4RAFoTOeCigrK0OfPn3QpUsXhIWFKXs4pGnojKcudHV1sXXrVly5cgVXrlxR9nCIAtAZT0UwDIMPPvgAhYWFiIuLo1Qy9UVnPHVSmUqWkJCAkJAQZQ+HyBmd8VTM5MmTcfv2bTx48ACGhobKHg5pODrjqaMtW7YgMzMTfn5+yh4KkSM646kgLy8vhISEIC0tDSYmJsoeDmkYOuOpq6+++gpCoRDfffddrfca2p+PqCYKPBVkamqK1atXw9/fHxcuXIC3tzccuFwYGBiAw+HAwMAADlwuvL29ERcXp+zhkkagS00VlZiYiIEDBuBtcTEsTNthuIMd7Ky7o6VRM7wueoMEQRquxVa0A3NxdkZAYCC1A1MN1C1IXVU2wGzfphV2es/DuCGDJDbAvBAVg5X+QcjMy6cGmKqBAk8dhYaGwt3dHe6jXLFvlTeMDA3q/UzR22J4+vohJCwcISEhmDp1qgJGSiSgwFM3AoEAdnZ2mDzUCcEblldlr/zxdyJ2nDgN/gMBMl/k4ezWrzBxqFONz4pEIvA27cTpG7dw9+5duuxUHprVVDfzPTzQwaQN9q3yrpEyVlRcjL7W3eC33FPiZ9lsNvat8oa5cRt4zJuniOGSJtBR9gBIBT6fj4jISJzx2VDr8vIjx/74yLF/vdswMjSAr9dsTF67GXFxcbC3t5fXcEkT0RlPRRw5cgQd25ti3JBBTdrO+CGOsDBth+DgYBmNjMgDBZ6KiL51C8O4fcXOXjaEjg4Hw7h2iImOltHIiDxQ4KmIpORk2Fl3l8m27KwtkUiNUVQaBZ4KEIlEKCkpQUujZjLZXqvmRigpKaH0MhVGgacC2Gw29PX18brojUy296qwCPr6+vQwrQqjWU0VYWtjgwRBmtj3Ct+8ReqzjKqfH2VkIT4lDcYtW6CzmWmt9RMED9HH1lZuYyVNR4GnIhydnHDu1EmUlwtrTbDE3k+B68LVVT8v3xMAAJg5ZjiCN6yosW55uRDX+QmY9NkU+Q+aNBplrqiIuLg4cLlcnPHZgEnOgxu9nbORUZi8djP4fD7dx1MOShlTN64uLngiSEHC8X1S5Wi+q+htMeyme6KLdQ+EU+NLZaGUMXUTEBiIzLx8ePr6NXhGUiQSYcG2Pch4mYeAwEA5jZDICgWeCrGyskJQUBBCwsIxa9MOFL0tlupzRW+LMWvTTpwIC4e+vj6EQqGcR0qaigJPxbi5uWHlypUIvRKBPu4LcDYyCuXl4gOpvFyIs5FRsJvuiTM3bmH//v2wsLCAi4sLUlJSFDxy0hD0HU/FvH79Gra2tujUqRP09fQQERkJC9N2GMa1g521JVo1N8KrwiIkCB7iOr/iCXRXFxccDAiAlZUVsrOz4eLiglevXiEyMhLW1tbK/pW0jVTf8cAwTFNeRMbmz5/PGBkZMY8ePWIYhmH4fD7j5eXFOHC5jL6+PgOA0dfXZxy4XMbLy4vh8/m1tpGZmcn06tWLsbCwYAQCgYJ/A60nVezQGU+FhIeHY9iwYdi7dy88PcU/eycSiaTKSMnMzISLiwuKiooQGRmJ7t1lkwdK6kW3E1SVuOApLCxEnz590LVrV1y/fl0m6V6ZmZlwdnbG27dvERkZCUtLyyZvk9SLbieoiri4uHpL9K1duxbZ2dk4dOiQzHIszc3NER5eMdPp4uKCx48fy2S7pOnojCdHqamp8Jg3r2qCpK4SfRw2G6vXrBFbxLapnj17BmdnZ5SXl+PGjRvo0qWLzPdBqtClpjJVlugzN26D7V5z6i3Rt+yHg8h59a/cSvQ9ffoUzs7OEIlEuHHjBjp37izzfRAAFHjKo6ol+tLT0+Hs7AwWi4XIyEh06tRJ5vsgFHhKIalEnzQUUaLvyZMncHZ2BofDQWRkJDp27CjzfWg5CjxlcHVxQXpqCvyXL8Te0+cl1sJkO44W+/lNHjMRfOmqXBOdHz9+DGdnZ+jq6iIyMhIWFhZy2Y+WollNRass0ee7cA5EjKjOWpgZF0NrvIK+XAYWiwW3kc7w9ZqNiMhIuTUk6dq1KyIiIlBaWgoXFxdkZGTU/yEiU/QgrAxVL9Gno8OpsxammYlxjZ/P34yGi70dLC3M0bm9aVWJPnk9U9etWzdERERg6NChcHFxQWRkJMzNzeWyL1IbnfFkqLEl+rLz8nHpz9uYPW4UAMWV6LO0tERkZCSKiorg6uqKrKwsue6P/IcCT4YaW6Lv6G/X0KKZIf5X7clzRZXo6969OyIjI/H69Wu4uroiOztb7vskFHgy05QSfcEXwjB1lCsM9PWqlimyRJ+VlRUiIyNRUFAAV1dX5OTkyH2f2o4CT0YaW6LvZnwSHqQ/w9zxNWc5FV2iz9raGhEREcjLy4Orqytyc3MVsl9tRYEnQ3WV6JPk8IXL4Payhp11zQRmZZTo69mzJyIiIvDixQsMGzYML168kOpzVDi34SjwZMjRyQnXYhNQXi5E4Zu3iE9JQ3xKRSBW1sJMz/rvMu51URF+Dr+JOeNqnu0qS/QNcnRU6PgBoFevXoiIiEB2djaGDRuGly9f1lpHmqRvUje6gS5D1Uv0tWnZvEYtzErVa2EG/PIblu4+iIyLoWjV3KhqHVUo0ffPP//A2dkZFhYWuHbtGkxMTBqU9K3Ffdkpc0UZNKlEX1JSElxdXdGxY0csWLAAS5YskTrpW4v7slPgKUNqair69u2rsrmaDZWYmAgnJycUFhbCffQw7FehpG8VJVXgUeaKjFWW6Js2bRoANOrphBMnTqhE0AGAgYEBysvLMG2UK4404EBiZGiA4A3LAQBz587FgAEDVOZ3UgV0xpOT6s/j+XrNxvghjhIvzc5HRWOV/2GVvDSrTPqOP1bz0vnfojfYEHAMv/xxCzl5BejXozt2L12A/u/1rPF5Vbp0VhC61FS2dycjpC3Rpyr4fD4cHBzE9nP4fP0WJD18jH0rvdGhrQlCwq5j90/nkBwaAAvTtjXWVYXJIgWiwFMVcXFxCA4ORkx0NBKTklBSUgJ9fX30sbXFIEdH8Hg8lfyD9Pb2xi8/n8LD08E1ztZvi0vQcvgk/LJtI8YOHli1vN8MT4wdPACb58+qsZ3yciG6fTILkz6bAj8/P0UNX1noO56qsLe3rxFY0pboUzZJSd/lQiGEQhEM9PRqLDfU18OfCcm1tkN92WtT/f/7Gkgdgg6QnPTdwqgZHG17Y3NwKDJyX0IoFCLk8nX8lfwAmS/zxG6L+rLXpB5/AUTh6kv6PrZxJRgG6Dh+GgyGjoPfqV8xdaQzOGzxj0RRX/aa6FKTiFVf0nf3jh0QuX87it4W43VREczbmuDz9VvQrUN7setTX/aa6F+BSCRN0reRoQHM25og//W/CPuLj/EfiM8vpb7sNdEZj0hUV1/2sJhYMAzQs0tHpD7LwCr/Q+jZuSN4H4+stR3qy14bnfGIRDweD89zcnEhKqbWe68K38Br5170/nweZn67HYP72iDshy3Q1al9LD8fFY3nObng8XiKGLZaoPt4pE6alPStIFTejzRdU/uyf+Hrh8y8fOrL/g4KPFKn6n3ZeZt2Nqgv+8xvd+DE5evw9/dXqVQ4VUCXmkQqjUn6znjxEiw2G++//z4uX76Mli1bKmHkCke5mkS2GpP0nZ+fjxEjRuC9997TluCjwCPy0dCk7zt37mDEiBHo3bs3wsLCND34KPCIYkiT9K1FwUeBR1RLbGwshg8fjt69e+Py5cto1aqVsockD3Q7gagWBwcHXLt2Dffv38fo0aPx6tUrZQ9JaSjwiEI5ODjg6tWruH//PkaNGqW1wUeBRxSu8sz34MEDrQ0+CjyiFFwuV6uDjwKPKI02Bx8FHlGqyuBLSUnByJEjtSb4KPCI0lUGn0AgwMiRI1FQUKDsIckdBR5RCfb29lXBN2rUKI0PPgo8ojK0Kfgo8IhKqR580l52qmPlMgo8onLs7e1x/fp1pKamig0+TWiMSbmaRGX9/fffGD58OLp3744rV67gxYsX6tAYk5KkifqrDL7WrVsjMyMD5ibGqt4YkwKPaIYtW7bgyy+/xLTRrjiwapGqN8akwCPqTyAQwM7ODkP69Iaerg7iHqQi80Uezm79ChOHOlWt9/Wh4zh59Qae5uRCT1cX3J5W+NZjBg6cvaToDrv0WBBRf/M9PNDBpA0WTBoLO2tL+C33FLtej04d4bfcE3dDDuDmgR3oYt4eHy1dj288ZsDcuA085s1T8MjrRmc8orIkNcZkO46udcZ71+uiIrQe/gmu7vHBq6IiRTbGpP54RL0dOXIEHdubYtyQQQ36XGlZGQJ++R2tmhvBztoSrZs3h4VpOwQHB6tMA1AKPKKyJDXGlORi1F9w+8oHb4pLYG5ijCs/bEHb1hXlJVStMSZ9xyMqS1JjTElcuHb4++g+/BnwPUYN4mLK+i3IySsAoHqNMSnwiEqqrzGmOEaGBrDq1AGDbHsj6Mtl0OFwEHThMgDVa4xJgUdUUn2NMaXBMAxKysoAyK8xZmMDmQKPqKzqjTEL37xFfEoa4lMqfn6UkYX4lDSkZ+Wg6G0x1u0PRkzSPTzJzEbcAwHmbtmFZ7kv8KnrBwBk1xizvjxRFosl1ewNTa4QlVW9MWbs/RS4Llxd9d7yPQEAgJljhmP/qkV48OQpJv92DS9evYZJqxbo37sH/ti/AzaWXVFeLkTYX7EoZVjw8/PD9OnT0bp16waN5d3y9cMd7DDtg1k18kTPnToJAHxdHZ0/yoXCOQzDpEraHt3HIyorLi4OXC631n28hjobGYXJazdj2LBhuHHjBnR1deHm5oYFCxagf//+9X6+esMWafJEl/1wsPxpTq5QJGJ4DMP8KG6bFHhEpcm6MWZmZiaCgoIQEBCAp0+fgsvlYsGCBXBzc4ORkVGtz4eGhsLd3R3uo1yxb5W31HmiX/j6MSGXrwOAO8Mwoe+uQ4FHVFpqair69u2LyUOdELxheYMmR0QiEXibdorN1RQKhfj9999x4MAB/Pbbb2jRogWmT5+OBQsWwPb/vwtW5ok2dt+zNu1kQq+El4pEjO27l50UeETl/fjjj5g2bVqDzzqVTyecOHGizkeDHj9+jEOHDuHQoUPIzs7G4MGDsWDBAhwKDMSzh6mIP/bf2dbn6E84d+NP3H/yDIb6enDq8x62es5Gzy6dxI7BdqpH+fPcl7fKysuHVn+PAo+ohcY0xmzo83ilpaX49ddfceDAAYSHhwNAre+XHy35ElNGDEX/3j1QLhRh/YEjSHz4GMmhAWIPCJXfLwFwGYapejSeAo+oDWkaY1698zcyX7ysaozZ2EeB3N3dERF2GY/PHaszZS03vwDtx3yOyH3b8WG/PrXeLy8XotME9/LsvPwDDMN4Vy6n2wlEbVhZWSE8IqJGY8yT4UerGmMaGhigdZs24IddaXIy9P179zBiQL9680RfFVbc4Ddu2ULs+zo6HIwayNX58UrEkOrL6QY6UTv29vbw8/PDndhYFBcXQygUori4GKtWr8aLFy/Qp0/tM09DSZMnyjAMlu85iCF2NrDt3lXienbWlhCKRDbVl1HgEbVXOds4YsQIFBYWIiYmpknbkzZP1GvHXtxNfYTQb9fUuV6r5kYQMYwui8WqijcKPKIx+vXrB2NjY1y9erVJ25EmT9R75z5ciIpB+F5fdDRtV+f2XhUWgc1ilTEMU5XYSYFHNAaHw8Hw4cNx5cqVJm+rep5odQzDwGvHXpyL/BPX/behWwezereVIHgIDpudXH0ZBR7RKCNGjMCdO3eQn5/fpO04OjnhWmwCysuFNZYv3LEXJ8LCceKb1WjRzBBZL/OQ9TIPb4tLxG6nIk+UX14mFEZVX06BRzTKiBEjIBKJEBER0aTt8Hg8PM/JxYWomt8XD5y9iFeFRXBZuAodPp5a9Tp5/YbY7ZyPikZ2Xr4OgODqy+k+HtE4PXr0wLBhw7B///4mbUcWeaKSMlfojEc0zsiRI5s8wQIAAYGByMzLh6evX4MfeBWJRPjC1495mpMrLBcK57z7PgUe0TgjRoxAWloaHj582KTtWFlZISgoCCFh4eBt2omit8VSfa7obTFmbdrJhFy+jv9/NKjWc3kUeETjODs7g8PhyOSs5+bmhpCQEJy+cQt20z1xNjKq1oRLpfJyIc5GRsF2qkd56JXwUgDT6Hk8olUGDx4Mc3NznD59GkDFpV9T6q1Ikyd6nV/RqUiHw7lRLhTOresJdDAM05QXISrJw8OD0dPTY7j2/Rh9fX0GAKOvr89w7e0ZLy8vhs/nN2q7fD6f8fLyYhy43BrbdeByGS8vLwaAPSNF7NAZj2iU6mem9satMXqQg1x76Ik5k1K3IKJdGlobRU499CjwiPZobG0UOfTQo8Aj2qGptVEk1WVpJOqPR7TDfA8PtGneDLkFr9BpgjvYjqPxy41btda79zgdE1ZuROvh/0PLYZPgOHcJnuW8wL5V3grvoUeBR9Qan89HRGQkeGNHwr6XlcTGlWnPMvDB/OXo2aUTIvb6Iv7YPqznucFATw9Ghgbw9ZqNiMhIxMXFif28rFHpB6LWKnvobZzjXmeZhvUHj2KMU3/4es2tWmZpYV713+OHOCq0hx6d8Yhak6aHnkgkwqVbt2HdyQKjl6xD+zFTMGjO4hqXozo6HIX20KPAI2pNmtooOfkFKHzzFtuOn8KogQ4I270FE4c64ZO1m3Aj7m7VeorsoUeXmkRtSVsbRSSqmHyf8IEjlrr9DwDwfo/uiE78Bwd/uYSh9n0B1OyhJ+t2Xu+iMx5RW9L20GvbuiV0OBz07ta5xvJeXTsjPSu36md59dAThwKPqDVJtVGq09PVRf/ePZCS/qzGckH6c3QxM636WVY99KRBgUfUWmVtlILXhRIbVwLAimmTcfLaHwj89XekPs2A/8/nceHPGHzxyccAKtLIrvMTMMjRUTEDlyaTuo4XIUrF5/MZAMw386YzqMikqvGaOWY4I4q+zIiiLzOH1i1lrDp2YAz09Bg7a0vm3LaNVe+d9lnPAGj0UwvVSBU7lDJG1J6se+g1EaWMEe3Q1Noonr5+yMzLR0BgoJxGWFtTz3iEqAQWi+UG4IT76GHYv8qb1YjOrRLLNMgDBR7RGCwWayqbzTrcybQdZ+diD536eugt/yGg3l7lchsrBR7RJCwWy0qHwwkqFwo/bG/cpnzUQK7Ou7VRwv7il2fn5etIVRtFXuOkwCOaiMVi2QPg6epwhgiFIhsRw+iyWawyDpud/P/l1IOZah1aFT4+CjyiDVgsFpup1q1H2SjwCFECup1AiBJQ4BGiBBR4hCgBBR4hSvB/ZvFeYNJi00kAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 40 graphics primitives" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = graphs.RandomTree(20)\n", "G.plot()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 41 graphics primitives" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.add_edge(G.complement().random_edge())\n", "G.plot()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "H1 = graphs.RandomRegular(2, 20)\n", "H2 = graphs.RandomRegular(2, 20)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Graphics object consisting of 41 graphics primitives" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H1.plot()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 41 graphics primitives" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2.plot()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 61 graphics primitives" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H = H1.union(H2)\n", "H.plot()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: {0: 0,\n", " 1: 6,\n", " 2: 9,\n", " 3: 4,\n", " 4: 5,\n", " 5: 3,\n", " 6: 4,\n", " 7: 3,\n", " 8: 4,\n", " 9: 7,\n", " 10: 3,\n", " 11: 6,\n", " 12: 5,\n", " 13: 8,\n", " 14: 5,\n", " 15: 1,\n", " 16: 9,\n", " 17: 7,\n", " 18: 4,\n", " 19: 2},\n", " 1: {0: 6,\n", " 1: 0,\n", " 2: 3,\n", " 3: 4,\n", " 4: 5,\n", " 5: 3,\n", " 6: 2,\n", " 7: 5,\n", " 8: 4,\n", " 9: 1,\n", " 10: 5,\n", " 11: 6,\n", " 12: 1,\n", " 13: 2,\n", " 14: 3,\n", " 15: 5,\n", " 16: 3,\n", " 17: 1,\n", " 18: 4,\n", " 19: 4},\n", " 2: {0: 9,\n", " 1: 3,\n", " 2: 0,\n", " 3: 7,\n", " 4: 8,\n", " 5: 6,\n", " 6: 5,\n", " 7: 8,\n", " 8: 7,\n", " 9: 2,\n", " 10: 8,\n", " 11: 9,\n", " 12: 4,\n", " 13: 1,\n", " 14: 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4,\n", " 10: 4,\n", " 11: 5,\n", " 12: 2,\n", " 13: 5,\n", " 14: 0,\n", " 15: 4,\n", " 16: 6,\n", " 17: 4,\n", " 18: 3,\n", " 19: 3},\n", " 15: {0: 1,\n", " 1: 5,\n", " 2: 8,\n", " 3: 3,\n", " 4: 4,\n", " 5: 2,\n", " 6: 3,\n", " 7: 2,\n", " 8: 3,\n", " 9: 6,\n", " 10: 2,\n", " 11: 5,\n", " 12: 4,\n", " 13: 7,\n", " 14: 4,\n", " 15: 0,\n", " 16: 8,\n", " 17: 6,\n", " 18: 3,\n", " 19: 1},\n", " 16: {0: 9,\n", " 1: 3,\n", " 2: 2,\n", " 3: 7,\n", " 4: 8,\n", " 5: 6,\n", " 6: 5,\n", " 7: 8,\n", " 8: 7,\n", " 9: 2,\n", " 10: 8,\n", " 11: 9,\n", " 12: 4,\n", " 13: 1,\n", " 14: 6,\n", " 15: 8,\n", " 16: 0,\n", " 17: 4,\n", " 18: 7,\n", " 19: 7},\n", " 17: {0: 7,\n", " 1: 1,\n", " 2: 4,\n", " 3: 5,\n", " 4: 6,\n", " 5: 4,\n", " 6: 3,\n", " 7: 6,\n", " 8: 5,\n", " 9: 2,\n", " 10: 6,\n", " 11: 7,\n", " 12: 2,\n", " 13: 3,\n", " 14: 4,\n", " 15: 6,\n", " 16: 4,\n", " 17: 0,\n", " 18: 5,\n", " 19: 5},\n", " 18: {0: 4,\n", " 1: 4,\n", " 2: 7,\n", " 3: 2,\n", " 4: 3,\n", " 5: 1,\n", " 6: 2,\n", " 7: 3,\n", " 8: 2,\n", " 9: 5,\n", " 10: 3,\n", " 11: 4,\n", " 12: 3,\n", " 13: 6,\n", " 14: 3,\n", " 15: 3,\n", " 16: 7,\n", " 17: 5,\n", " 18: 0,\n", " 19: 2},\n", " 19: {0: 2,\n", " 1: 4,\n", " 2: 7,\n", " 3: 2,\n", " 4: 3,\n", " 5: 1,\n", " 6: 2,\n", " 7: 1,\n", " 8: 2,\n", " 9: 5,\n", " 10: 1,\n", " 11: 4,\n", " 12: 3,\n", " 13: 6,\n", " 14: 3,\n", " 15: 1,\n", " 16: 7,\n", " 17: 5,\n", " 18: 2,\n", " 19: 0}}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = G.distance_all_pairs()\n", "d" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d[2][7]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import matplotlib" ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.2.rc2", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }