{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example graphs \n", "\n", "In this notebook, we show the available example graphs from the data module. \n", "\n", "## Reeb graphs \n", "\n", "These cells generate the examples from the [example Reeb graphs module](../modules/data/ex_reebgraphs.rst). \n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import cereeberus.data.ex_reebgraphs as ex_rg\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Torus graph')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = ex_rg.torus(seed = 6)\n", "R.draw(with_labels = False)\n", "plt.title('Torus graph')\n", "# plt.savefig('../images/torus.png', bbox_inches = 'tight')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Dancing Man')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = ex_rg.dancing_man(seed = 0)\n", "R.draw(with_labels = False)\n", "plt.title('Dancing Man')\n", "# plt.savefig('../images/dancing_man.png', bbox_inches = 'tight')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Juggling Man')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = ex_rg.juggling_man(seed = 0)\n", "R.draw(with_labels = False)\n", "plt.title('Juggling Man')\n", "\n", "# plt.savefig('../images/juggling_man.png', bbox_inches = 'tight')\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Simple loops')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = ex_rg.simple_loops(seed = 5)\n", "\n", "R.draw(with_labels = False, cpx= 1.1)\n", "plt.title('Simple loops')\n", "\n", "# plt.savefig('../images/simple_loops.png', bbox_inches = 'tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mapper Graphs\n", "\n", "These cells generate the examples from the [example mapper graphs module](../modules/data/ex_mappergraphs.rst). " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "import cereeberus.data.ex_mappergraphs as ex_mg\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta value is: 0.1\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MG = ex_mg.torus(seed = 2)\n", "print(f\"Delta value is: {MG.delta}\")\n", "\n", "MG.draw(with_labels = False)\n", "plt.title('Torus graph mapper')\n", "# plt.savefig('torus_mapper.png', bbox_inches = 'tight')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta value is: 0.1\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MG = ex_mg.dancing_man(seed = 2)\n", "print(f\"Delta value is: {MG.delta}\")\n", "MG.draw(with_labels = False)\n", "plt.title('Dancing Man Mapper')\n", "# plt.savefig('dancing_man_mapper.png', bbox_inches = 'tight')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta value is: 0.1\n" ] }, { "data": { "image/png": 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HyqOYBU/QBq7sSxukMCLSBpiFvwHzAq4IIlUMzIKfY5oXXdSetDZmxW4o/jvNDyLV7FC+ES6+3/CuIk5SGBFp5cyyzVC2hqZdmrkSBziyoPhVF7YprYlZ+DRVM6xcycAs+l+FWHE5hRGRVs4seYPqKbuu5cAseQPTrHRD2+JJZsU+qNiFawMsgAlmEVxc3fCuIk5QGBFpxUxHPpT9G9efVC5x5EL5N+5pWzzGvPgv3BNgASyYF99xU9vSUTUpjCxdupTevXvj5+dHfHw8GzduvOK+8+bNwzCMOo+4uLgmFy3SYVTsxnXjROrjhVm+w43ti0eUb8VtARYHVOzDNMvd1L50RE6HkRUrVrBgwQKefPJJ0tPTmTBhAlOnTiUjI6Pe/f/0pz+RlZVV88jMzKRr167cc889zS5epN2r2IP7vuEC2C8FHmkvTLMcKo+4+SiVLXAM6UicDiPPP/888+fP55FHHmHQoEEsWbKE6OhoXnzxxXr3DwkJITIysuaxbds28vPzeeihh654jLKyMgoLC2s9RDoi056D6wch1joC2M+4sX1pcY7zuK9X5FvsZ91/DOkwnAoj5eXlpKWlMWXKlFrbp0yZQnJycqPaWLZsGTfddBMxMTFX3Gfx4sWEhITUPKKjo50pU6QdaYGTSoscQ1qOOy/rfZv+bsR1nAojubm52O12IiIiam2PiIggOzu7wednZWXx2Wef8cgjj1x1v0WLFmGz2WoemZmZzpQp0n4YnVrgGEHuP4a0nJb4m2nJ40iH0KS79hpG7W5j0zTrbKvPq6++SufOnbnzzjuvup+vry++vr5NKU2kXTG8B2Dizqm3XuA9xI3tS0szLMGYlm7gOOfeA3kPcG/70qE41TMSFhaG1Wqt0wuSk5NTp7fkcqZpsnz5ch544AF8fHycr1SkI3J7UKjE8NbMtnbHezhuXbnBEoFh6eK+9qXDceqv1cfHh/j4eNauXVtr+9q1a0lKSrrqc9evX8+RI0eYP3++81WKdFTWvmCNxX2DWK3ge4Ob2hZPMfym4r6xI1bw+46b2paOyunovHDhQl5++WWWL1/O/v37eeKJJ8jIyOCxxx4DqsZ7zJ07t87zli1bxrhx4xgyRF3CIo1lGAZGQN33k2tYwe8WDGuYm9oXj/G7GYwQNzVuxwi4z01tS0fl9JiRWbNmkZeXxzPPPENWVhZDhgxh9erVNbNjsrKy6qw5YrPZWLlyJX/6059cU7VIR+I/HYr/VrVaqku/7ZoYgY+6sD1pLQzDBzp9H7PoORe3bAG/2zC8erm4XenoDLMN3A+6sLCQkJAQbDYbwcHBni5HpMWZZZsw86+8No/zDIxOP8Lo9GMXtimtiWnaMfNmQeVeXDMN1wAjBKPbGo0XkUZr7Plb96YRaQMM3/Hgsl4MC/iMgcDHXNSetEaGYcXo/PylqdvN/ag3ACtG5yUKIuIWCiMibYTRaSEEVPeONHVAqwHe8Rid/45heLuqNGmlDK9eGF3fvDR+pKm3FbBSFUT+guF79YkKIk2lMCLSRhiGgRH0C4yQ34IRgHMnFytggcBHMbq+gmEJdFOV0toY3v0xwj4En4TqLc48G6yxGKHvYfhp1pW4j8KISBtiGAaG/3SMsM/B/27Ah6qTS92x6A6HgcNhYJqAzwSM0PewBC2sGtwoHYphjcToshwj5PdV08WBqoBaXzC59Ldk6YbR6acYYR9qLRpxOw1gFWnDTEchlH6GWbETyndcmnFjgiWI7Lxwdu83MfxuYcpUVw5+lbbMNE2o2I5ZtqHqjs2VB8EsA8MbrDHgPQzDJwF8J2IYTVqkW6RGY8/f+ksTacMMSzAEzMJgVp3/d7HwKKm73iQoKJ/JtzTulg3S/hmGAT7xGD7xni5FpIYu04i0UzExMXh5eVFUVMS5c26+T4mISDMojIi0U15eXsTGxgJw5MgRzxYjInIVCiMi7VjfvlWDFY8ePerhSkRErkxhRKQdqw4jJ0+epKKiwsPViIjUT2FEpB0LCwsjJCQEu93OyZMnPV2OiEi9FEZE2jHDMGp6RzRuRERaK4URkXZO40ZEpLVTGBFp5/r06YNhGOTm5mKz2TxdjohIHQojIu2cn58fPXv2BHSpRkRaJ4URkQ5Al2pEpDVTGBHpAKrDyLFjx3A4HB6uRkSkNoURkQ6ge/fu+Pv7U1ZWxqlTpzxdjohILQojIh2AxWKhT58+gC7ViEjrozAi0kFo3IiItFYKIyIdRHUYOX36NCUlJR6uRkTkPxRGRDqI4OBgwsPDgaqBrCIirYXCiEgHoks1ItIaKYyIdCDfDiOmaXq4GhGRKgojIh1ITEwMXl5eFBUVkZOT4+lyREQAhRGRDsXLy4vY2FhAl2pEpPVQGBHpYDRuRERaG4URkQ6mX79+AJw8eZKKigoPVyMiojAi0uGEhoYSEhKC3W7nxIkTni5HRERhRKSjMQyj5lLNkSNHPFyNiIjCiEiHpHEjItKaKIyIdEB9+vTBMAzy8vIoKCjwdDki0sEpjIh0QH5+fvTs2RNQ74iIeJ7CiEgHpUs1ItJaKIyIdFDVU3yPHTuG3W73cDUi0pF5ebqAluYw7RSUnyKn9DAFFWdwmJV4Gb509Y0h3O8agrzCMQzD02WKuF1UVBT+/v6UmgVsO/kplpALVDhKsWAl2DuScL9r6Oobg8WwerpUEWmC4sp8ckoPkVd2nHJHCRasdPIOJ8LvGrr6xmI1Wk8EaD2VuFlRxTn2FHzKroKPKbXbALBgBQxMTEyqvhl29unJiC7TGRh8E77WQA9WLOI+FY5SDhauI3ByGr7+eaSWb8E4Z8HAApg4Lr0ffCyBDO38HYZ2/g4hPlGeLVpEGlTpKOdw0Xp25n/A2dKDABjUfW97G/7EdZ7KsM7T6OIb7cGKqxhmG7h1Z2FhISEhIdhsNoKDg516rsO0k35+JcnnlmPiwMTRwDMMwMTPGsxNkT+lb9D4Jtct0hplFKfxRdbvKK7MA9MA4+ofAcalq7ljQu9nbNhsrIZ3S5QpIk46U7KHNVnPUViRjYGlwfNd1T4mo7rOIDFsHl4WX5fX1Njzd7sOIxftNj7K/CXZpfuacNSqUBIXMpUbIheoq1raPNN08M25f7D9/HuN+qCqyyDUJ5Y7oxfTyTvMLTWKiPNM02RL3puk5r7W5Pd2iHcU06N/6/Ie0Maev9vtANZSeyH/OrmQs6UHmthCVUbba/uMz8/8PxymBvhJ22WaJuuy/8z28+9V/ez0h1XVs86XZ/DuycerelVExONM02TTuZdJzX2t6ucmvrcLK7J59+RPKCzPdm2BjdQuw4hpmnx2+n/JL89s4i+mtsNF69mc+6YLKhPxjJ35H7Db9kmz2zGxc6HyHB+d+qUCukgrsL9wLWnnVzS7HRMHF+02Pji1iEpHuQsqc067DCN7bZ+TUZLmkiBSbWveW+SUHnZZeyItpaD8NN+ce8ll7Zk4yCk9xPbz/3JZmyLivAsVuXyd/X8ua8/EQX75KbbktfyX73YXRiocF9mQs9Qtbbvyly7SUjbm/A2H6bpgXi3l3CuUVBa4vF0RaZzkc8uoNF3di2GyLe+dFr9c0+7CyMHCdVQ4Lrq8XRMHWaX7OFd6zOVti7hLYcVZjl1IrZm67koO7Oyzfe7ydkWkYRcrbRwsXOeW9zYY7LZ96oZ2r6zdhZHdBZ9QNRPG9Qys7LN95pa2Rdxhv20thpveD2CyK/9jN7UtIldzsPCrmjVDXM3EwZ78T2jJybZNCiNLly6ld+/e+Pn5ER8fz8aNG6+6f1lZGU8++SQxMTH4+vrSt29fli9f3qSCr6bSUc650iNUz4RxNRM7p0t2u6VtEXc4U7Ib003vB4CiyrNcrLS5rX0Rqd+Zi3vd+EUDSh1F2Cqy3Nb+5ZxegXXFihUsWLCApUuXMn78eP7+978zdepU9u3bR69evep9zsyZMzl79izLli2jX79+5OTkUFlZ2eziL5dbdsylg1brk1d2ArtZ2aqW0RWpj2mal1ZgdO+3m5zSQ8R0GuPWY4hIbdkX97n9fJdTeojOPt3deoxqTp9Rn3/+eebPn88jjzwCwJIlS1izZg0vvvgiixcvrrP/559/zvr16zl27Bhdu3YFIDY29qrHKCsro6ysrObnwsLCRtXWEmsfOKik1F5IoFdXtx9LpDkc2ClzXHD7cS5U5rr9GCJSW4k9363tG1ha9L3t1GWa8vJy0tLSmDJlSq3tU6ZMITk5ud7nfPTRR4wePZrf/e539OjRg/79+/Ozn/2MixevPMh08eLFhISE1Dyioxu3bn5LrXtgumFmgoirtdTfqbu/nYlIXS3x/m7Jc51TPSO5ubnY7XYiIiJqbY+IiCA7u/5pQMeOHeObb77Bz8+P999/n9zcXH7wgx9w/vz5K44bWbRoEQsXLqz5ubCwsFGBpKVubOdjCWiR44g0h9XwxoLVbYPcqun9INLyvC3+bu35NHHgY22593aTBj4YRu1BM6Zp1tlWzeFwYBgGb731FiEhIUDVpZ4ZM2bw17/+FX9//zrP8fX1xdfX+Rv2hPn2cfo5zurkFdaivyCRpjIMg66+MeSWuXc6ephvX7e2LyJ1hfn24fTFXW49RrcWfG87dZkmLCwMq9VapxckJyenTm9JtaioKHr06FETRAAGDRqEaZqcOnWqCSVfWYBXFwKs7hvLYWAh0m+Q29oXcbVI/8EYuO8mj16GL118erqtfRGpX6T/ILe+tw0sLfIFv5pTYcTHx4f4+HjWrl1ba/vatWtJSkqq9znjx4/nzJkzXLjwn+6kQ4cOYbFY6NnT9R9i/YMnue0XZOLgmuCJbmlbxB2uCZrgpkWRwHQYeJ/vxenTZ9zSvojUz+Fw4JUX7bb3toGF2E7j8LI4f4WiqZxeZ2ThwoW8/PLLLF++nP379/PEE0+QkZHBY489BlSN95g7d27N/rNnzyY0NJSHHnqIffv2sWHDBv7rv/6Lhx9+uN5LNM01rPM0t/2C/KzB9A261i1ti7hDdMBIgr1de0vwaobFJGdbAMuWLWPZsmXs27cPh0ODWUXcpbKykrS0NJYuXcqadzdTmR+IO8aYmjgY3uUO1zd8FU6PGZk1axZ5eXk888wzZGVlMWTIEFavXk1MTAwAWVlZZGRk1OzfqVMn1q5dy49//GNGjx5NaGgoM2fO5Nlnn3Xdq/iWLr7R9A+axOGiDS4f5T82dA5Ww9ulbYq4k2FYSAx7kDVZz7m2XayEew0kptcE9tj2cOrUKd577z06d+7MuHHjGDlyZJPGfYlIXRcvXmTbtm1s3ryZ4uJiAPz8/OjjmEqGxbU3rDSwEu7Xj14Bo1zaboPHNVtyvdcmKiwsJCQkBJvNRnBwcIP7X6y08fqxeZQ6LuCKBZ8MrET4DWBmzBIMo92toC/tnGmafHTqSU4Wb3NZQPcyfHmgz3KCvSO4cOECW7duZevWrTVT9n19fYmPj2fs2LG1xouJSOPZbDZSU1NJS0ujoqICgODgYBITE2sC/+en/x+Hir522Xvbghdzev+DLr6NW1KjIY09f7fLMAJwsjiNDzMXNfsXZGDB1xrEvTF/IcTHPd3dIu5WXHmef574IcWVeS750Lq1+y+5Jvi6WtsqKirYuXMnqamp5OVVLUBoGAZxcXEkJibSvXvLrOQo0tadPXuW5ORk9uzZU3PpMzw8nPHjxxMXF4fV+p9xkaX2Ilac/DG28iyXDFG4KfKnxHWe2ux2qnX4MAJwtGgTq08/g4nZpA9gAwt+1iDu7vVHQn1jnX6+SGtSWJ7NvzIWcqEyt8nvBxOTKVH/xaCQKVfczzRNDh8+TEpKCidOnKjZHhMTQ0JCAgMGDLjiUgAiHZVpmpw4cYLk5GSOHDlSsz02Npbx48fTt2/fK75vLlTksjLzZ9jKzzTjve1gUsSPXT5WRGHkkrOlh1hzZjH55ado/CUbAzCJCRzDTZE/pZN3mLMli7RKFyttrDv7Zw4XrcfAaPRN9AwMOnmFc3P3X9AjYGijj5eVlUVqamqtb3hdu3YlISGB4cOH4+Pj06TXIdJeOBwO9u/fT3JyMmfOVM1MMwyDwYMHk5SU1OgexTL7BTacfZF9hWtqwkVjGFgIsHZmcvefExM4usmv40oURr6l0lFOev5KdpxfRYk9/wqrUhqXfoF2uvrEMCZ0NgOCb9A3OGmXjhZtYkveW+SUHqrp8bg8rFe/T/wsQQzrcgejQ2fhbWnaDLjCwkK2bNlCWloapaWlAPj7+9eMKwkKCmruSxJpUyoqKtixYwcpKSnk51fdZ8bLy4sRI0aQmJhYcy83Z528sJXNuW+QVboPAwtcujbwbdXvbR9LIEM7f4cxoffha+3U3JdUL4WRejhMO8cvpHK6ZBfZF/dTUHEGh1mJ1fAhzK8PkX4DiAkcS5T/YIUQ6RDOlh7ieFEKZ0sPca7sKGUVxZSXVeJdGcKQ6Gvp4T+UPkFJLptFVl5ezo4dO0hNTa35ALZYLAwdOpSEhAQiIyNdchyR1qqkpIStW7eyZcsWSkpKgKpgPmbMGMaOHUtgoGtua5JbeoyjF5I5W3qQc6VHqHBcxDCsBHmFE+U/iCj/OPoFXev2tUQURkTEaYcPH+btt98mMjKSRx991G3HcTgcHDp0iJSUlFpLAfTu3ZvExET69eunLwTSrhQUFJCSkkJ6enrNzJiQkJCamTHt9ZJlY8/fTbo3jYi0TwEBVfddqv7G5i4Wi4WBAwcycOBATp8+TWpqKnv37uX48eMcP36csLAwEhISGDZsGN7eWttH2q6srCySk5PZu3cv1d/9IyMjGT9+PIMHD8Zi0XIRoDAiIt9S3UVcXFx81RtgulKPHj24++67ufHGG9myZQvbt28nNzeXTz75hK+++orRo0czZswYOnVyzzVtEVczTZNjx46RnJzMsWP/uVFlnz59GD9+PL1791bP32UURkSkRnXPiN1up7y8vEVXUe3cuTNTpkzhuuuuIz09ndTUVGw2Gxs2bGDTpk0MGzaMhIQEwsPDW6wmEWc4HA727t1LcnJyzQ1lq9faSUpKIipKa1VdicKIiNTw8fHBy8uLyspKSkpKPLKku6+vLwkJCYwdO5b9+/eTkpLC6dOnSU9PJz09nX79+pGQkECfPn307VJahfLy8poAXVBQAIC3tzcjR44kMTGRzp07e7S+tkBhRERqCQwMxGazUVxcTJcuXTxWh8ViIS4ujri4ODIzM0lJSeHAgQMcOXKEI0eOEB4eTkJCAkOHDsXLSx9l0vKKi4vZsmVLrVshBAQEMHbsWMaMGVPT0ygN0ztYRGoJCAjAZrO5fRCrM6Kjo4mOjiY/P5/U1FTS09PJycnho48+4ssvv2Ts2LGMHj1aH/7SIs6fP09KSgo7duygsrISgC5dupCYmMiIESM06LoJFEZEpJaWmlHTFF26dGHq1Klcf/31pKWlsWXLFgoLC1m3bh0bN25k+PDhJCQkEBamVZPF9U6fPk1ycjL79++vmRnTvXt3xo8fz8CBAzUzphkURkSklm/PqGmt/Pz8GD9+PAkJCezbt4+UlBSysrJIS0sjLS2N/v37k5CQQGxsrMaVSLOYpsnRo0fZtGlTrXst9evXj/HjxxMTE6O/MRdQGBGRWlpzz8jlrFYrQ4cOZciQIWRkZJCSksLBgwc5dOgQhw4dIjIyksTExDp3OhVpiN1uZ8+ePSQnJ5OTkwNUjWMaMmQISUlJREREeLjC9kVhRERqaUthpJphGMTExBATE0NeXh6pqans2LGD7Oxs3n//ff79738zduxY4uPj8fdv2v11pGMoKytj+/btpKamUlhYCFTNMhs1ahQJCQmEhIR4uML2SWFERGppi2Hk20JDQ7nttttqjSspKiriyy+/ZMOGDYwYMYKEhIQm34hM2qcLFy6wefNmtm3bVnMzx8DAQMaNG8fo0aMVYt1MYUREamkLY0YaIyAggAkTJpCYmMiePXtITU3l7NmzbN26la1btzJw4EASExOJjo7WNf8OLDc3l5SUFHbu3IndXnU399DQUBITExk+fLimjbcQ/SuLSC1tvWfkctW3ZR8+fDjHjx8nJSWFI0eOcODAAQ4cOECPHj1ISEjQfUI6mFOnTrFp0yYOHDhQs61nz54kJSUxYMAA/S20MIUREamlvfSMXM4wDPr06UOfPn04d+4cqamp7Ny5k9OnT7Ny5cqacSWjRo3Cz8/P0+WKG5imyaFDh0hOTq51t+j+/fszfvx49ZJ5kMKIiNRS3TNSXl5OZWVlu+ym7tatG9OmTeOGG26ouWxjs9lYu3Yt69evZ9SoUYwbN07LeLcTlZWV7N69m+TkZHJzc4GqmTHDhg0jKSmJbt26ebhCaX+fMiLSLH5+fhiGgWmalJSUEBwc7OmS3CYwMJBJkyZx7bXXsmvXLlJTU2t6TTZv3szgwYNJSEigZ8+eni5VmqC0tJS0tDQ2b95MUVERUHXvo/j4eMaNG9eu/7bbGoUREanFMAwCAgIoLi5u92GkmpeXF6NGjWLkyJEcPXqUlJQUjh07xt69e9m7dy/R0dEkJiZqLEEbUVRURGpqKmlpaZSVlQEQFBTEuHHjiI+P12W4VkhhRETqCAwMpLi4uN2NG2mIYRj069ePfv36cfbsWVJTU9m1axeZmZlkZmbSuXNnEhISGDlyJD4+Pp4uVy5z7tw5kpOT2bVrFw6HA4CwsDCSkpJ0Q8VWTr8ZEamjvc2oaYqIiAjuuOOOmnEl27Zto6CggM8//5x169apq7+VME2TzMxMNm3axKFDh2q29+rVi/Hjx3PNNddoUGoboDAiInVUz6jpyGGkWlBQEDfccAMTJkxg586dpKamkpeXR3JyMqmpqcTFxZGYmEhUVJSnS+1QTNPk4MGDbNq0iVOnTtVsHzhwIElJSURHR3uwOnGWwoiI1FG92mRHu0xzNd7e3owePZr4+HgOHTpEamoqJ06cYPfu3ezevZuYmBgSExPp37+/vom7UWVlJTt37iQlJYW8vDyg6h5Fw4cPJzExUXdsbqMURkSkDvWMXJlhGAwYMIABAwaQlZVFSkoKe/fu5eTJk5w8eZKuXbuSkJDAiBEj8Pb29nS57cbFixfZtm0bmzdvrgnJfn5+jB49mnHjxtGpUycPVyjNoTAiInVozEjjREVFcdddd3HTTTexZcsW0tLSOH/+PKtXr2bdunWMHj2aMWPGEBQU5OlS2yybzUZqairbt2+nvLwcgODgYBISEhg1ahS+vr4erlBcQWFEROpQz4hzgoODuemmm5g4cSLp6els3ryZ/Px8Nm7cyKZNmxg6dCgJCQlERkZ6utQ24+zZsyQnJ7Nnz56amTHh4eEkJSUxZMgQrFarhysUV1IYEZE6qntGNGbEOT4+PowbN44xY8Zw8OBBUlJSyMzMZOfOnezcuZM+ffqQkJBAv379NK6kHqZpcvLkSTZt2sSRI0dqtsfGxpKUlKR/t3ZMYURE6tBlmuaxWCwMGjSIQYMGcerUKVJTU9m3bx/Hjh3j2LFjhIWFkZiYyLBhw7T2BeBwODhw4ACbNm3izJkzQNXYnEGDBpGUlESPHj08XKG4m94FIlLHty/TOBwOrTraDD179mTGjBkUFBSwefNmtm/fTm5uLh9//DFffvklY8aMYcyYMTX/5h1JRUUFO3bsICUlhfz8fOA/d1lOTEyka9euHq5QWorCiIjUUT21F6pmMXTEE6Wrde7cmZtvvplJkyaxfft2Nm/ejM1mY/369XzzzTcMGzaMxMTEDnHTtpKSErZu3cqWLVtqet/8/f0ZM2YMY8eO1d9bB6QwIiJ1WK1W/Pz8KC0tpaSkRCcHF/L19SUxMZFx48axf/9+UlJSOH36NOnp6aSnp9OvXz8SExPp3bt3uxsfUVBQQEpKCunp6VRUVAAQEhJCYmKiltjv4BRGRKSWCkclxy7kcCYKcssrWXbia6KKwrkmKJKBwT3o6qv1HFzBYrEQFxfH4MGDyczMJDU1lf3793PkyBGOHDlCeHg4iYmJDBkyxOXjSkrtFRwuyuJg4RnyyoowgSAvf/oHRzEwuDtB3v4NtuGM7OzsmpkxpmkCEBkZSVJSEnFxcboM6AGVDjvHi3M4YDtD1sV87KYDf6sPfYMiGBTcgzC/lr3NgWFW/2W0YoWFhYSEhGCz2XQfCBE3OX4hh39lpPLJ6e1ctJeDCYYJFouBCTio+qgY2jmamb2SuCEyDm+Lvs+40vnz59m8eXOtnoNOnToxZswYRo8eXTOwuKn2FGTyr4wUvsjaTaVpxwCsRlUQcJgmDkwMYFzYNczslUhSt/5YjKYFBdM0OX78OJs2beLYsWM12/v06UNSUhJ9+vRpdz0/bcGpkjxWZWzh/VNbKK6suqOx16XfsQnYzapp1P2DopgVk8TkqGH4WZu+eF9jz98KIyIdXKm9nKWHvuCfJ5OxGpaaD6MrsWDgwCQ6IJSnh81kSGfdA8TVLl68WDOupKioCPjPwM6EhARCQ0Odaq+gvJjf7fuIf2fvbtTvuHqfuJCe/GbYTGICG7/EusPhYN++fWzatIns7GygamZMXFwcSUlJuoePh5Q7Kll25CteO7Ye+M+Xiyupfp9H+IXw66EzGB3at0nHVRgRkQZlFOfyk22vkHWxALOBD6fLWQwD0zT5Qf+bmdt7or7luoHdbmfv3r2kpKTUnNgB+vfvT2JiIjExMQ3+u+8uyOCJtNe4UFHa4AnoclbDggWDp4bexdTuI6+6b3l5Oenp6aSmplJQUABUBahRo0aRkJBAly5dnDq2uM7ZUhs/2fYKJy7kOPkX8J9Q8mDv6/hB/ylOv88VRkTkqjKKc3kk9W8UVZY2+E25IY/0vYHvXXOTiyqTy1UvBpaSksKhQ4dqtkdFRZGQkEBcXFy9K5Luyj/JD7cuo8JhdzqIXO6XQ+5mWs/4OtuLi4vZsmULW7du5eLFi0DVOjVjx45lzJgxzb60JM1zttTG/JS/kVde1Oz3+T29EvjZoGlOBRKFERG5olJ7Ofd982eySwua/QFV7dnhs5gSNdwlbcmV5ebmsnnzZnbs2EFlZSUAQUFBjBs3jlGjRtVMy84tK2LmxhcoqSxrdhABMDD4x7hHGdalF1A1viUlJaVWHV26dCExMVE3CWwlKh12HkxZyrELZ132Pv/54NuZ0Suh0fsrjIjIFS05sJp3Tmxy+tLMlRhAoJcf7014glBf3RSuJZSUlLBt2za2bt3KhQsXAPD29mbkyJGMGzeO/z3+Ccm5h1x2ErJg0N2/C3/sO5NtKZvZv39/zcyYqKgoxo8fz6BBgzQzphVZfnQdfzu81qVt+lq8+Oe1C+gR0LgF6RRGRKReGcW53LPxeRfFkP+wGhZu7zmaRXF3urhluZrKykr27NlDSkoKOTk5AJwLdrBlUIXrD2bCwEwrfbOqZlH169ePpKQkYmNjNWaolcktK2La1791WRitZjUsXBc+iOdG3t+o/Rt7/ta8PJEOZmXGZiyNmFHhLLvp4NPT2/lx/1vo5O3n0rblyqpn2QwfPpzjx4+TkpLCVss+DBNMN+SDE5F27ug2kmuTxhMREeH6A4hLfHhqK+7oa7CbDr4+u49zpYV0c+FaJOpPE+lA7KaDj05tc3kQqVbhqOSLrJ1uaVuuzjAM+vTpw9QZd3Cui+mWIIIBpT7Qc8JQBZFW7v2MLS4ZK3Qln57e7tL2mhRGli5dSu/evfHz8yM+Pp6NGzdecd+vv/4awzDqPA4cONDkokWkaU5cOEexvcxt7VsMC7sLMt3WvjRsry3Tjaegqm763QUZbjyCNFduaSE5ZYVua98EdhWcdGmbToeRFStWsGDBAp588knS09OZMGECU6dOJSPj6n+cBw8eJCsrq+ZxzTXXNLloEWma/YWn3dq+3XSwx6YTlSftt52uWVXVHRymyT6be/+OpHn2F55xa/smJnsKTrm0Taf/Yp9//nnmz5/PI488wqBBg1iyZAnR0dG8+OKLV31eeHg4kZGRNY/65sRXKysro7CwsNZDRJovt7TQrScqgHOlRW5tX67unBu/EUPViSj7YoFbjyHNc67U5vZjFFQUu3RMilOfSuXl5aSlpTFlypRa26dMmUJycvJVnzty5EiioqK48cYbWbdu3VX3Xbx4MSEhITWP6GgtNy3iCnYcuHvOgwP3jEeRxnG0wARJ/Y5bt+p7DLmbK8eeORVGcnNzsdvtdQYuRURE1Fqq+NuioqJ46aWXWLlyJatWrWLAgAHceOONbNiw4YrHWbRoETabreaRmalr0CKu0Mnqh93NJ6sAq69b25erC/TydfuJqJOXa+/qK67VycvPreOGALwtVrwsV77C4awmTe29fD65aZpXnGM+YMAABgwYUPNzYmIimZmZ/OEPf2DixIn1PsfX1xdfX32gibhav6BIly10Vh8Dg4HB3d3WvjTsmqAoKt00Wwqq7vCq33Hr1i8o0v3H6OTaYzjVMxIWFobVaq3TC5KTk+PUNK+EhAQOHz7szKFFxAUGhHR367dmi2EwOKSnG48gDRkY4t6gUGk6GBjSw63HkOaJDeyGtwt7LS5nNSwuv1u3U2HEx8eH+Ph41q6tvbzs2rVrSUpKanQ76enpuo20iAd08vJjTGg/LG5aLdNuOrg+Ms4tbUvj9O0UQQ//Lm4LnV6GhWu7DWh4R/EYL4uVSeFxbhusbjcd3Bg5xKVtOn2ZZuHChTzwwAOMHj2axMREXnrpJTIyMnjssceAqvEep0+f5vXXXwdgyZIlxMbGEhcXR3l5OW+++SYrV65k5cqVLn0hItI4M2MS2ZJ3xOXtWjCI69yTa4L0RcOTLIaFmTFJLDnwqcvbthoWpkQNo7NPoMvbFte6JyaBtdm7XN6uAUQHhDGyS2+Xtut0GJk1axZ5eXk888wzZGVlMWTIEFavXk1MTAwAWVlZtdYcKS8v52c/+xmnT5/G39+fuLg4Pv30U2699VbXvQoRabTx3QbQLyiS4xdyXDoa3oHJd/vd5LL2pOmm9YzntWPryS8vdvkYobl9rnNpe+IewzvHMKpLb3YWnHTp+9wEHr3mJpffi0g3yhPpgI4UZfNA8l9c9iFlmDC52xCeHT3bJe1J8yWfO8iCtNdc2ub3r5nCQ30nubRNcZ/TJee595sllDkqXdKe9dIlut+NnNPoMNLY87fuTSPSAfULiuSng77jkrYMEwIvGgSsP8Xp01qZs7UY5BXOoPMBLmnLgsGY0L480HuCS9qTltEjoCtPDbnbJW1ZDQvhfsEsipvuljs0K4yIdFAzeiXw+ICqy6WWJg53tGAQExjGHed7UnHhIq+99hqHDh1yZZnSBHl5ebz66qv0PlzJgILmBRIDGNW1D38Y+YBL15WQlnFz9+E8NeQuDIxmvc/D/YL5+9jv0dW3k4srrD6GiHRY9/e+ludHzSXEJ8CpD6rqfW/vOZrlST/gsQcepm/fvlRUVPDPf/6T7dtde0dPabxz587x6quvUlhYSLewbvz11p/wyyF342/1cWp2heXSyevhvtfzp9EP4u/l48aqxZ1u7zmapWPm080vuEnv85uihvJa4o+I9O/spgo1ZkREgMKKiyw/uo4PMrdQYi/Hy7DUWTjLggFG1XLjI7vEMr/fDYwN7Vfz/+12Ox9//DE7d+4EYNKkSUycONEtXbpSv+zsbN544w1KSkoIDw9n7ty5BAZWzXw5W2rjH4f/zWdZO6h02LEYljpjhqpPPiZwbbcBfLffjVpTpB0pqSzjtWPrWZmxmcLKi/W+zw0MLIaB3XQwOKQn8/tez4TwQU0+ZmPP3wojIlKj1F7OurN72Zl/kr0FmWSX2ii+WIKXHcb0GEBcl15MihhMn071L3Jomibr1q1j48aNAIwaNYrbbrsNi0WdsO52+vRp3nzzTUpLS4mKimLOnDkEBNS9RFNYcZEvs3ezpyCTPQUZnL804ybIy4/BIdEMDunBjZFD3fotWDyr3FHJ+rP72JF/gj0FmWRdzMduOvCz+jAgOIpBIT2ZGD6IAS5YaVdhRESazTRNnn32WRwOBwsWLCAkJKRRz9u6dSufffYZpmnSv39/7r77bnx81M3vLhkZGbz99tuUlZXRs2dP7r//fvz8/Dxdlohm04hI8xmGgb9/1U3RSktLG/28MWPGMHPmTLy8vDh06BCvv/46xcXF7iqzQztx4gRvvvkmZWVlxMTEMGfOHAURaXMURkTkqqpPbM6EEYCBAwcyd+5c/P39OX36NMuXL+f8+fPuKLHDOnLkCG+99RYVFRX06dOH+++/XzcZlTZJYURErqqpYQQgOjqahx9+mJCQEM6fP8/y5cs5c+aMq0vskA4ePMg///lPKisr6d+/P/fddx/e3t6eLkukSRRGROSqmhNGoOpu3/PnzycyMpLi4mJeffVV3bW7mfbu3cu7776L3W5n0KBBNZfERNoqhRERuarmhhGAoKAg5s2bR58+faioqOCdd95hx44dLqqwY9m1axcrV67E4XAwdOhQZsyYgdWqxcikbVMYEZGrckUYAfD19WX27NkMGzYM0zT58MMP2bBhA21gQl+rsX37dt5//31M02TEiBHceeedmjYt7YL+ikXkqlwVRgCsVit33nkn48ePB2DdunV8+umnOByuu6toe7VlyxY+/vhjAEaPHs3tt9+uICLthv6SReSqXBlGoGq68E033cTUqVMBSEtL491336WiosIl7bdHycnJfPbZZwAkJCRw6623amVbaVcURkTkqlwdRqqNHTuWmTNnYrVaOXjwIK+//jolJSUuPUZ7sGHDBtauXQvAtddey5QpUxREpN1RGBGRq3JXGAEYNGgQc+fOxc/Pj1OnTrFs2TLy8/Ndfpy2yDRNvvrqK9atWwfA9ddfz4033qggIu2SwoiIXJU7wwhAr169aq1FsmzZMrKystxyrLbCNE2++OKLmnv8TJ48mYkTJ3q4KhH3URgRkatydxgB6NatG/PnzyciIqJmLZIjR4647XitmWmarF69mtTUVACmTp1KUlKSh6sScS+FERG5qpYII/CftUh69+5NeXk577zzDjt37nTrMVsbh8PBRx99xLZt2wCYNm0aY8eO9XBVIu6nMCIiV/XtMOLuNUH8/Py4//77GTp0KA6Hgw8++ICNGzd2iLVIql/vjh07MAyD6dOnM2rUKE+XJdIiFEZE5Kq+fQfYsrIytx/ParUyffr0mksTX331FatXr27Xa5HY7Xb+9a9/sXv3biwWC3fffTfDhg3zdFkiLUZhRESuysvLq+a+J+6+VFPNMAwmT57MLbfcAsC2bdt477332uVaJJWVlbz77rvs378fq9XKzJkziYuL83RZIi1KYUREGtRS40YuN27cOO655x6sVisHDhzgjTfeaFdrkVTfp+fQoUN4eXlx7733MmDAAE+XJdLiFEZEpEGeCiMAgwcP5oEHHsDPz4/MzEyWL19OQUFBi9fhauXl5bz11lscO3YMb29vZs+eTb9+/TxdlohHKIyISIM8GUYAYmJieOihhwgODiYvL49ly5aRnZ3tkVpcobS0lDfeeIOTJ0/i4+PDnDlz6N27t6fLEvEYhRERaZCnwwhAeHg48+fPJzw8nAsXLvDKK69w9OhRj9XTVBcvXuSNN97g1KlT+Pn5MXfuXHr16uXpskQ8SmFERBpUHUYuXrzo0TqCg4N56KGHiI2Npby8nLfffptdu3Z5tCZnFBcX89prr3HmzBkCAgJ48MEH6dGjh6fLEvE4hRERaVBr6BmpVr0WSVxcHA6Hg/fff59vvvmm1a9FUlRUxKuvvsrZs2fp1KkTDz74IJGRkZ4uS6RVUBgRkQa1pjACVdON7777bhITEwH48ssv+eyzz1rtWiQ2m41XX32V3NxcgoODmTdvHuHh4Z4uS6TVUBgRkQZVh5GWWPSssQzDYMqUKUyZMgWArVu38q9//avVrUWSn5/PK6+8wvnz5+ncuTPz5s0jNDTU02WJtCoKIyLSoNbWM/JtiYmJ3H333VitVvbv38+bb77p8bEt1XJzc3nllVew2Wx07dqVefPm0aVLF0+XJdLqKIyISINaywDWKxkyZAhz5szB19eXjIyMVrEWSU5ODq+++ipFRUV069aNefPmERIS4tGaRForhRERaVBr7hmpFhsby8MPP0xQUBC5ubkeXYskKyuLV199leLiYiIiInjwwQcJCgrySC0ibYHCiIg0yN/fH2jdYQT+sxZJt27datYiOXbsWIvWcPr0aV5//XUuXrxI9+7defDBBwkMDGzRGkTaGoUREWlQW+gZqRYSEsLDDz9MTExMzZLru3fvbpFjZ2Rk8Prrr1NaWkp0dDQPPPBATZATkSvz8nQBItK65ZaUkHbuLLt9vakw4PmUb+gRFMyQ8AiuCQ3Dx2r1dIl1+Pn5MWfOHN5//3327dvHqlWrKCwsJCkpCcMwrvi8sspKDuSeY8+5HHKKL2CaEOTrw8CwbgwNj6Cz35WDxfHjx3nnnXeoqKggNjaW++67Dx8fH3e8PJF2xzBb+0pBQGFhISEhIdhsNoKDgz1djki7V2638/mRQ7y2M5307CwADNPEACxWK5WX1vMI8PJmxuA45gwbQb+urW+6qmmarFmzhs2bNwMwduxYbr75ZiyW2p3Ce3PO8sauHXx4cD9ldjsGYL20j8M0cVz6mEzsGc3c4SO5sXdfvL7VxpEjR1ixYgWVlZX07duXWbNm4e3t3TIvUqQVa+z5W2FERGrZkZ3FE2tWc9JWgMUwak7EV2K9tM+8EaP4WeK1+LfCk3BycjJr164Fqu4CPH36dLy8vCgsK+XZDV/zr/17sRoG9ka8VrtpMiisG8/ffCsDQsM4cOAA7733Hg6Hg/79+3PPPffg5aVOZxFQGBERJ5mmyd/StvCH5G+wNOLEfDmLYdAjKJhX77yb3p1b31oau3fv5oMPPsDhcBATE8OwG2/gsTWfcv7ixQYD1+Wsly71PDZgMCWbt+JwOBg8eDB33XUX1lZ42UrEUxRGRMQpL6Ru4v+2pDarDathEOLrx79m3kdsKwwkx48fZ8WKFZyprGBNcAD2RvT8NGRsSRmzBgzijjvuqHP5R6Sja+z5W+8cEeHjQweaHUQA7KaJrayUeR+spLSydS3LDtC7d2/uvn82XwYFUPmtsSDNsSXAl7BRIxRERJpB7x6RDu5cSTFPfbWWK88xcY7dNMksLOT5lE0uatG1Xty3hzKLgXmVWTXOsBgGP//3Gi6Ul7ukPZGOSGFEpIN7IWUTJRUVuPJ6rYnJsvQ0jhfku7DV5kvPOsMHB/e7pEekmsM0OVdSwktpW13WpkhHozAi0oEVlpWy6sA+pwerNobFMHh7906Xt9scr+/aUTP41JUcpsmbu3dQbre7vG2RjkBhRKQD++TQQSrcdAK1myYr9u7GfmlNEk8rKivj08MH3RK8AApKS/nqeMsuPS/SXjQpjCxdupTevXvj5+dHfHw8GzdubNTzNm3ahJeXFyNGjGjKYUXExbZnncHihp6CahfKyzmW3zou1ew9l1OzWJs7eFkspGefcVv7Iu2Z02FkxYoVLFiwgCeffJL09HQmTJjA1KlTycjIuOrzbDYbc+fO5cYbb2xysSLiWunZWW7rKai2J+esW9tvrD05Z90avCodDnZcWq1WRJzjdBh5/vnnmT9/Po888giDBg1iyZIlREdH8+KLL171eY8++iizZ88mMTGxwWOUlZVRWFhY6yEirpdTfMGt7VsNg+ziIrceo7GyL1xwaxgByLrQOl6rSFvjVBgpLy8nLS2NKVOm1No+ZcoUkpOTr/i8V155haNHj/LrX/+6UcdZvHgxISEhNY/o6GhnyhSRRnLlrJL6GDR/UTFXcZjuH7vicLSO1yrS1jgVRnJzc7Hb7URERNTaHhERQXZ2dr3POXz4ML/4xS946623Gn2/hkWLFmGz2WoemZmZzpQpIo0U4O3eu8raTQedWsmdazv5+LbAMVrHaxVpa5p0N6fLb8Ftmma9t+W22+3Mnj2bp59+mv79+ze6fV9fX3x93f/BIdLRDQkPZ8PJEy5dY+TbTGBQWLibWnfOwLBubh3AajUsDI2IdFv7Iu2ZU2EkLCwMq9VapxckJyenTm8JQFFREdu2bSM9PZ0f/ehHADgcDkzTxMvLiy+++IIbbrihGeWLSHMMi4jkm4yTbhvEagCDu7WOMDI0vO5nlCs5TAdDwlvHaxVpa5y6TOPj40N8fHzNrbirrV27lqSkpDr7BwcHs3v3bnbs2FHzeOyxxxgwYAA7duxg3LhxzateRJrllr7XuC2IWA2D8b1iWs2li57BwQwMC3PZsveXMwyDKX2ucVPrIu2b05dpFi5cyAMPPMDo0aNJTEzkpZdeIiMjg8ceewyoGu9x+vRpXn/9dSwWC0OGDKn1/PDwcPz8/OpsF5GWN6hbOCMio9h1NtvlA03tpsmDw0a6tM3mMAyDB4ePYtGXX7i8bathcEPvPkQFBbm8bZGOwOmpvbNmzWLJkiU888wzjBgxgg0bNrB69WpiYmIAyMrKanDNERFpPZ4Yl+TyIGI1DAaGdWNSbG+XtttcdwwYSI+gYJdP8XWYJj8ck+DSNkU6EsM0W8m8u6soLCwkJCQEm81GcHCwp8sRaXd+/u/PWbV/n8tCidUw+Pi+BxgY1s0l7bnSltOnuG/lCpcN2jWAR+PH8vPxE1zUokj70djzt+5NIyL8csL19O3S1WU3kfv1dTe0yiACMLZHTx4fV3eMW1NYDYMRkVE8Pq7hxRxF5MoURkSEIF9f3rzrHvp06drkSxjGpaGhT06YxJxhI1xYnev9eGwC3x89FqDJA1otGAyLiOSVO+7Gt5FrKIlI/RRGRASAbgGB/Oue+5g5uGpwuTOhxGoYdPX35+Vp05k/Mt5dJbqMYRj8V9IE/nTLbXTy8XGqR8hqVMWu+aPieeuuewjWmkgizaYxIyJSx6bMk/zf5lS2nDmF1TAwqbt0vJfFQqXDQaC3N/cNGcYPxyQQ4ufnmYKb4VxJMX/enMLK/XsprayseV3fZpgmhsWCaZpc2yuGBeOSGBnV3UMVi7QdjT1/K4yIyBUdzsvji2OH2XX2LHtyzlJcUY7VsBAVFMSIyChGR3Xn5r7X4O/t7elSm62orIzPjhwiPTuLHdlZ5BQX4zAdVJZcJMxu5+7xE5g2KI6Yzp09XapIm9HY87cudIrIFV0TGso1oaGeLqNFBPn6MjNuKDPjhtba/sILL1BYXMLtPaLppSAi4hYaMyIichVhYWEA5OXlebgSkfZLYURE5CpCL/UM5ebmergSkfZLYURE5Cqqw4h6RkTcR2FEROQqdJlGxP0URkRErqK6Z+T8+fM4LpvyKyKuoTAiInIVISEheHl54XA4yM/P93Q5Iu2SwoiIyFUYhqFxIyJupjAiItIAzagRcS+FERGRBqhnRMS9FEZERBqgGTUi7qUwIiLSAF2mEXEvhRERkQZU94wUFxdTWlrq4WpE2h+FERGRBvj6+tKpUydAl2pE3EFhRESkEap7R3SpRsT1FEZERBpBM2pE3EdhRESkERRGRNxHYUREpBF0mUbEfRRGREQa4ds3zDNN08PViLQvCiMiIo3QuXNnrFYrlZWV2Gw2T5cj0q4ojIiINILFYqFr166ALtWIuJrCiIhII2kQq4h7KIyIiDSSloUXcQ+FERGRRtIN80TcQ2FERKSRdJlGxD0URkREGqm6Z6SwsJDy8nIPVyPSfiiMiIg0kr+/PwEBAYB6R0RcSWFERMQJulQj4noKIyIiTtCMGhHXUxgREXGCZtSIuJ6XpwsQEWlLLL6BZJd6kbU3i2yvTVitFrqHBjOoVwS9I7viZdV3PBFnKYyIiDTgYnkFa7Ye5J116Rw+nQsEYBSUsz1nG5hQ6XAA0Mnfl7snDGXGhGH0CAvxbNEibYhhtoHbTxYWFhISEoLNZiM4ONjT5YhIB7J5/0l+9doaztmKMQxo6BPTYjEAmH/LWB6ZOg5vL2sLVCnSOjX2/K3+RBGRejgcJi+s3MD3/7yKvMISoOEgUv08h8Pk5dWbuX/xW5wruODmSkXaPoUREZHLmKbJ4n9+yRv/TgPA0YQOZBM4nn2eeb//J+dsCiQiV6MwIiJymRVf72Dlxt3NbsfuMMkpuMATSz+k0u5wQWUi7ZPCiIjIt2TkFPDCqo0ua8/uMNmXkcObX6a5rE2R9kZhRETkW15YuR6Hw/W9GEs/Sia/qMTl7Yq0BwojIiKXZJ0vZMPuY9gdrp9k6HCYfJi81+XtirQHCiMiIpd8kroPwzDc0rbDNHlv4y63tC3S1jUpjCxdupTevXvj5+dHfHw8Gzde+frqN998w/jx4wkNDcXf35+BAwfywgsvNLlgERF3ST9yGncuvZSVV6hLNSL1cDqMrFixggULFvDkk0+Snp7OhAkTmDp1KhkZGfXuHxgYyI9+9CM2bNjA/v37eeqpp3jqqad46aWXml28iIgr7Tt5tlFriTTrGBk57j2ASBvk9Aqs48aNY9SoUbz44os12wYNGsSdd97J4sWLG9XGXXfdRWBgIG+88Ua9/7+srIyysrKanwsLC4mOjtYKrCLiNhV2O+N+9Ge3H+dXD0zmzqQhbj+OSGvglhVYy8vLSUtLY8qUKbW2T5kyheTk5Ea1kZ6eTnJyMtddd90V91m8eDEhISE1j+joaGfKFBFxmsMNg1Y9eRyRtsSpMJKbm4vdbiciIqLW9oiICLKzs6/63J49e+Lr68vo0aP54Q9/yCOPPHLFfRctWoTNZqt5ZGZmOlOmiIjTfLyseFncP6Y/0NfH7ccQaWuadNfey0ebm6bZ4Aj0jRs3cuHCBVJTU/nFL35Bv379uO++++rd19fXF19f36aUJiLSJIZh0Ld7KAdPnXPrca7pGebW9kXaIqfCSFhYGFartU4vSE5OTp3eksv17t0bgKFDh3L27Fl+85vfXDGMiIh4wpDekRw5k4fdDYueAfh6exET0cUtbYu0ZU71Sfr4+BAfH8/atWtrbV+7di1JSUmNbsc0zVoDVEVEWoObRl7jtiBitRjcNOoarC1wKUikrXH6Ms3ChQt54IEHGD16NImJibz00ktkZGTw2GOPAVXjPU6fPs3rr78OwF//+ld69erFwIEDgap1R/7whz/w4x//2IUvQ0Sk+cYM6EWPsBDO5Npw9TBTu8Nk5nXDXdyqSPvgdBiZNWsWeXl5PPPMM2RlZTFkyBBWr15NTEwMAFlZWbXWHHE4HCxatIjjx4/j5eVF3759ee6553j00Udd9ypERFzAYjH4/rREnnrlc5e2a7UYxPePZkhspEvbFWkvnF5nxBMaO09ZRKS5TNPk8aUfkrLvhEvuUWMAvj5erPz1g0R11eeXdCxuWWdERKS9MwyDXz8wmW4hnbBamn+fGhN4eu7NCiIiV6EwIiJymdDgQF7+6T1069wJSxNvnGcxDAwDnnnwZibH93dxhSLti8KIiEg9uoeG8Nai+7kmtGqRMmciicUwiOjSiX88cQ/fSRjsngJF2pEmLXomItIRnDuTyUCvc3Tu4s15/x4cPnMeq8XAYZp1bqjnZbVQaXcQEujHzOuGM2/KGPx9vT1TuEgbozAiIlKPyspKPv+8albNXdePYfLkyew7eZYNu4+x7+RZDp06x8XyCrwsFrqHBjO0dxQj+/Vg0vC+eHtZPVy9SNuiMCIiUo9NmzaRn59PUFAQEydOBGBwTASDY66+2rSIOE9jRkRELpOfn88333wDVN2VXPfKEnEvhRERkcusWbOGyspKevfuTVxcnKfLEWn3FEZERL7l8OHDHDx4EIvFwtSpUxu8I7mINJ/CiIjIJZWVlXz22WcAjBs3jm7dunm4IpGOQWFEROSS5ORk8vPz6dSpE9ddd52nyxHpMBRGRESAgoICNm7cCGjQqkhLUxgREeE/g1ZjYmIYMmSIp8sR6VAURkSkwzty5AgHDhzAMAxuvfVWDVoVaWEKIyLSoV0+aDU8PNzDFYl0PAojItKhpaSkcP78eTp16sSkSZM8XY5Ih6QwIiIdls1mY8OGDQBMnjxZg1ZFPERhREQ6rOpBq7169WLo0KGeLkekw1IYEZEO6ejRo+zfv1+DVkVaAYUREelwvj1odezYsURE6E68Ip6kMCIiHU5qaip5eXkEBgZq0KpIK6AwIiIdyuWDVv38/DxckYgojIhIh/LFF19QUVFBr169GDZsmKfLEREURkSkAzl27Bj79u3DMAymTp2qQasirYTCiIh0CHa7ndWrVwMwZswYIiMjPVyRiFRTGBGRDuHbg1avv/56T5cjIt+iMCIi7V5hYSHr168H4KabbtKgVZFWRmFERNq96kGrPXv2ZPjw4Z4uR0QuozAiIu3a8ePH2bt3r1ZaFWnFFEZEpN369qDV0aNHExUV5eGKRKQ+CiMi0m5t3ryZ3NxcAgICNGhVpBVTGBGRdqmoqKjWoFV/f38PVyQiV6IwIiLt0hdffEF5eTk9evRgxIgRni5HRK5CYURE2p0TJ06wZ88eAA1aFWkDFEZEpF25fNBq9+7dPVyRiDTEy9MFiIg0Rnl5JceP5nD4YBZ5uRdw2B0EdvKjT79w+g+MIjgkAIAtW7Zw7tw5/P39ueGGGzxctYg0hsKIiLRqx46c5aNVaaxdvYvy8koArF4WDMDhMHE4TACGjujFzd8Zwrb0dYAGrYq0JQojItIqFReX8dJf/s3qD9OxWg3sdrPm/9krHXX237srk907MgjoZHLtjeGMHDmyJcsVkWbQmBERaXWOH81h/n0v8vnHOwBqBZErqe4hKSmGf398ng9XbnNniSLiQuoZEZFW5fjRHJ547DUuXiyvCRhOMQ0cpslfn19DRbmde2YnuL5IEXEp9YyISKtRfKGUXyx4m4ulTQwil3npL/9mc/IRF1QmIu6kMCIircbf/u/fFOQX42jEZZnGMAyDP/zvx1woKnVJeyLiHgojItIqHD6Yxecf73BJj0g10zQptJXwzuubXNamiLiewoiItAofrdyG1er6jySHw+STD7ZTVlbh8rZFxDUURkTE40pLK/hyzR7s9rpTdl2hpLiMTesPuqVtEWm+JoWRpUuX0rt3b/z8/IiPj2fjxo1X3HfVqlVMnjyZbt26ERwcTGJiImvWrGlywSLS/hw7fJaKCrvb2rd6Wdi/57Tb2heR5nE6jKxYsYIFCxbw5JNPkp6ezoQJE5g6dSoZGRn17r9hwwYmT57M6tWrSUtL4/rrr2fatGmkp6c3u3gRaR8OHczCnfeys1c62L9XYUSktTJM03RqtNi4ceMYNWoUL774Ys22QYMGceedd7J48eJGtREXF8esWbP41a9+Ve//Lysro6ysrObnwsJCoqOjsdlsBAcHO1OuiLQBy178in+9k0plPSurukpoWCf++dECt7UvInUVFhYSEhLS4PnbqZ6R8vJy0tLSmDJlSq3tU6ZMITk5uVFtOBwOioqK6Nq16xX3Wbx4MSEhITWP6OhoZ8oUkTbGlTNoPHkMEWkap8JIbm4udrudiIiIWtsjIiLIzs5uVBt//OMfKS4uZubMmVfcZ9GiRdhstppHZmamM2WKSBsTEOCDk520TvMP8HFr+yLSdE1aDt647OKuaZp1ttXnnXfe4Te/+Q0ffvgh4eHhV9zP19cXX1/fppQmIm1Qn2siGnX/maayWAz6D4xyW/si0jxOhZGwsDCsVmudXpCcnJw6vSWXW7FiBfPnz+e9997jpptucr5SEWm3rhng/qCgMCLSejl1mcbHx4f4+HjWrl1ba/vatWtJSkq64vPeeecd5s2bx9tvv81tt93WtEpFpN0K6xbEgEHdsVjcM6XG4TC59rqBbmlbRJrP6am9Cxcu5OWXX2b58uXs37+fJ554goyMDB577DGgarzH3Llza/Z/5513mDt3Ln/84x9JSEggOzub7OxsbDab616FiLR5d94zxi2DTC0Wg9Hj+hLVo4vL2xYR13A6jMyaNYslS5bwzDPPMGLECDZs2MDq1auJiYkBICsrq9aaI3//+9+prKzkhz/8IVFRUTWPxx9/3HWvQkTavIk3DKJ7zy4u7x1xOEzmPHytS9sUEddyep0RT2jsPGURadv27TnFgkdfxVWfSoZhcNfMsTz2+GTXNCgiTnHLOiMiIu40eEhPHn7sBpe0VTWDJpJ5j05ySXsi4j4KIyLSqsyak8gDD0+49FPTukgMw6Bf/0gWvzAbPz9v1xUnIm6hMCIirYphGMT2Nxg43I6Xt+HUGJLqfafPHMMfl84lKNjfXWWKiAs1adEzERF3OXXqFF9//TVhkXDv/VNI33Kezz/ZSVlpBVarBbu99v1rqgOIw2EyIj6WBx6ewJDhvTxRuog0kcKIiLQaZWVlrFy5EtM0GTJkCEnjxzD+WoOHH72ejV8fYP+eU+zbc5q83CJMh4l/oC/9B0YxYGAU114/iJ7RV77nlYi0XgojItJqrF69moKCAjp37sxtt91Wc5uJgEBfbr5tODffNtzDFYqIO2jMiIi0Crt372bXrl0YhsH06dPx8/PzdEki0kIURkTE4/Lz8/n0008BmDhxIr16acyHSEeiMCIiHuVwOHj//fcpKysjOjqaiRMnerokEWlhCiMi4lEbNmwgMzMTX19f7rrrLiwWfSyJdDR614uIx2RkZLBhwwYAbrvtNjp37uzZgkTEIxRGRMQjSktLWbVqFaZpMmzYMIYOHerpkkTEQxRGRKTFmabJp59+is1mo0uXLtx6662eLklEPEhhRERa3K5du9izZ0/VXXXvugtfX19PlyQiHqQwIiItKj8/n9WrVwMwadIkevbs6eGKRMTTFEZEpMXY7XZWrlxJeXk5vXr14tprr/V0SSLSCiiMiEiLWb9+PadPn9Y0XhGpRZ8EItIiTp48yTfffAPAtGnTCAkJ8XBFItJaKIyIiNtdvHixZhrviBEjiIuL83RJItKKKIyIiFtVT+MtLCyka9eu3HLLLZ4uSURaGYUREXGrnTt3snfvXiwWi6bxiki9FEZExG3Onz9faxpvjx49PFyRiLRGCiMi4hbV03grKiqIjY1l/Pjxni5JRFophRERcYuvv/6aM2fO4Ofnx/Tp0zWNV0SuSJ8OIuJyJ06cqDWNNzg42MMViUhrpjAiIi5VPY0XYOTIkQwePNjDFYlIa6cwIiIuY5omH3/8MUVFRYSGhmoar4g0isKIiLhMeno6+/fvr5nG6+Pj4+mSRKQNUBgREZfIzc3l888/B+CGG26ge/fuHq5IRNoKhRERaTa73c6qVauoqKigd+/eJCUlebokEWlDFEZEpNm++uorsrKy8Pf3584778QwDE+XJCJtiMKIiDTLsWPHSE5OBuD222/XNF4RcZrCiIg0WUlJCR988AEA8fHxDBw40LMFiUibpDAiIk3y7Wm8YWFh3HzzzZ4uSUTaKIUREWmStLQ0Dhw4gNVq5e6778bb29vTJYlIG+Xl6QJEpHUoLSnj6I4THN5+jIIcG5gQ1LUTfUfEcs2o3gSGBNbse+7cOdasWQPAjTfeSGRkpKfKFpF2QGFEpIPbm3yQj5Z+zvp3U7BX2jEMA4tXVaepw+7AdJhgwNipI7nzR1MZfkMcq1atorKykr59+5KQkODhVyAibZ3CiEgHlZ9j488/+AffrNqM1cuCvdIBVI0FsVfYa+9sQtoXO9myOp3ugyOIujGY0J5duOOOOzSNV0SaTWNGRDqg3Rv38/DAx0n+cCtATRC5mup9zhw4y/YXj9DTpw9BQUFurVNEOgaFEZEOZuf6vfz3lGcoKSzBYW84hNThALPSZPnCf/LV2xtdX6CIdDgKIyIdyLlTefxy2nPYK+w4HGbzGjPhtw/+hUNpR11TnIh0WAojIh2EaZo8/8iLlJeWNz+IfMtzD/wf5WUVLmtPRDoehRGRDmLzp9vZ9sXORo0PaSyH3cGpg2f45G9fuKxNEel4FEZEOogP/m81Fqvr3/ImJu//eTUOh+tCjoh0LAojIh3AuVN5pK3d1bQBqw0xIft4Dnu+OeD6tkWkQ2hSGFm6dCm9e/fGz8+P+Ph4Nm688oj6rKwsZs+ezYABA7BYLCxYsKCptYpIE+1PPeTW9i1WC/tS3HsMEWm/nA4jK1asYMGCBTz55JOkp6czYcIEpk6dSkZGRr37l5WV0a1bN5588kmGDx/e7IJFxHmHth3F6m116zEOa1aNiDSR02Hk+eefZ/78+TzyyCMMGjSIJUuWEB0dzYsvvljv/rGxsfzpT39i7ty5hISENOoYZWVlFBYW1nqISNPlZeVXLevuJg67g7MZuW5rX0TaN6fCSHl5OWlpaUyZMqXW9ilTppCcnOyyohYvXkxISEjNIzo62mVti3REbhkrcvkxXDhLR0Q6FqfCSG5uLna7nYiIiFrbIyIiyM7OdllRixYtwmaz1TwyMzNd1rZIRxQQ5I9hce89ZDp1CXBr+yLSfjXpRnmX3xjLNE2X3izL19cXX19fl7Un0tH1GRaDo9Le8I5NZPW20m9Eb7e1LyLtm1M9I2FhYVit1jq9IDk5OXV6S0Sk9eg/ui+m+4aMYK+wc018X/cdQETaNafCiI+PD/Hx8axdu7bW9rVr15KUlOTSwkTEdfqN6k1Yz1C3te/t582YW0a4rX0Rad+cnk2zcOFCXn75ZZYvX87+/ft54oknyMjI4LHHHgOqxnvMnTu31nN27NjBjh07uHDhAufOnWPHjh3s27fPNa9ARBpktVq544e3uGXciNXLwuQ5E+nUOdDlbYtIx+D0mJFZs2aRl5fHM888Q1ZWFkOGDGH16tXExMQAVYucXb7myMiRI2v+Oy0tjbfffpuYmBhOnDjRvOpFpNFu+95NvPeHjyjKv+DSab6GxcI9/3WHy9oTkY7HME13Xkl2jcLCQkJCQrDZbAQHB3u6HJE2a9MHW/jNXb93aZuP/mEuMxZOc2mbItI+NPb8rXvTiHQg4+8cyx0/usUlbRkWg7G3jmT647e6pD0R6bgURkQ6mB8seYjbvndTs9owDBh98wh+9d5PsVrdu8y8iLR/CiMiHYzFYuHxF7/Hgr99D19/H6xejf8YsFgtWLwszP3NLJ754Of4+ms9IBFpPoURkQ7IMAxu+95klu1bwo33T8TLxwvDMLB61e3lsFgtGBYDw2KQOG00L277HXN+OQMv7yatmSgiUocGsIoIhXlFrH8vhQNbDrM/9TC2c4WYDgedunZi4Nh+9I/vy3Uzk+jmxrVKRKT9aez5W2FERERE3EKzaURERKRNUBgRERERj2oTI9CqryQVFhZ6uBIRERFprOrzdkMjQtpEGCkqKgIgOjraw5WIiIiIs4qKiggJCbni/28TA1gdDgdnzpwhKCgIw3D9jb5ERETE9UzTpKioiO7du2OxXHlkSJsIIyIiItJ+aQCriIiIeJTCiIiIiHiUwoiIiIh4lMKIiIiIeJTCiIiIiHiUwoiIiIh4lMKIiIiIeNT/D9BIyrNWhxldAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MG = ex_mg.juggling_man(seed = 0)\n", "print(f\"Delta value is: {MG.delta}\")\n", "\n", "MG.draw(with_labels = False)\n", "plt.title('Juggling Man Mapper')\n", "\n", "# plt.savefig('juggling_man_mapper.png', bbox_inches = 'tight')\n" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta value is: 1\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MG = ex_mg.simple_loops(seed = 5)\n", "print(f\"Delta value is: {MG.delta}\")\n", "\n", "MG.draw(with_labels = False, cpx= 1.1)\n", "plt.title('Simple loops mapper')\n", "\n", "# plt.savefig('simple_loops_mapper.png', bbox_inches = 'tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Merge Trees \n", "\n", "TODO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Embedded Graphs \n", "TODO" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 2 }