From 393aa561df81d1dbfe6887534f2000efc1d846f3 Mon Sep 17 00:00:00 2001 From: Gabriel Gehrke <g.gehrke@tu-bs.de> Date: Sun, 23 Apr 2023 15:05:03 +0200 Subject: [PATCH] redrew steiner tree example images --- .../steiner_tree/steiner.ipynb | 72 ++++++++----------- 1 file changed, 30 insertions(+), 42 deletions(-) diff --git a/sheets/01_setup_and_first_look/examples/mixed_integer_programming/steiner_tree/steiner.ipynb b/sheets/01_setup_and_first_look/examples/mixed_integer_programming/steiner_tree/steiner.ipynb index 93e425d..d68b71a 100644 --- a/sheets/01_setup_and_first_look/examples/mixed_integer_programming/steiner_tree/steiner.ipynb +++ b/sheets/01_setup_and_first_look/examples/mixed_integer_programming/steiner_tree/steiner.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, + "execution_count": 142, "metadata": {}, "outputs": [], "source": [ @@ -27,14 +27,14 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 143, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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i4uKMHV65lDnlMCQkhCeeeEKmHApRBNIyIMq9jIwMOnTogJWVFb6+vuVqdbvQ0FA++eQTli1bhq2tLQsWLGDOnDnY2toa/mJpsZAWB4oJWFTTV1esKA4dOoSnpyfTp09n2bJl5ervQIiSIi0DotL46aef8Pf355tvvil3NwAXFxeWLFnCzZs3GT9+PG+//Tb169dn8eLFJCQkFO/kGSlway0cGQNbXWGjPWxzg63OsMEG9nSA069A9EXDvBgj69u3L8uXL2fFihV8/vnnxg5HiHJFWgZEuRYTE4O7uzuDBw/ml19+MXY4xXb79m0+/PBDVq1ahaOjI//73/+YNWsWVlZWBT+JNgOufgUXP4LUB+hyfm3O+yqmoKZDjV7g8R04tDLEyzCqN998k48++ohNmzYxZswYY4cjhFFJy4CoFN5//30SExP5+OOPjR2KQdSpU4dly5Zx7do1hg0bxoIFC2jQoAFLliwhOTk5/xPEXof9XeDsa/8mApBrIgC6RAAg4hjsaQ8XPgQ1j/3Lgffff59x48YxadIkTpw4YexwhCgXJBkQ5db169dZsmQJCxcuxMXFxdjhGFT9+vVZuXIlV69exdPTk5dffplGjRrx/fffk5KSkvNBD87Bvs7w4CyFXspZzdAlBuffguPTdK0L5VTmlMN27doxbNgwAgMDjR2SEGWeJAOi3Jo/fz4uLi688sorxg6lxDRs2JDVq1dz+fJlHnvsMV588UXc3d1ZtmwZqamp/+2YEAQH++pKLavFvJEHesGZecU7h5FZWlqyfft2bG1tGTJkiKxyKEQ+JBkQ5ZKPjw87d+5k8eLFhetPL6caN27MmjVruHjxIj169GD27Nk0btyYn376ibTUVDg+VTdTIIdEYNqPoEzM/RGSrSCiCte+g9B9pfLaSkqNGjXYtWsXoaGhMuVQiHzIAEJR7qSnp9O2bVscHR05fPhwuZtBYAgXL17k3XffZePGjbw+tjqfjIrIdd/j1+HmvazbVBVm/Qz1qsPFz3I6SqNbwGn4TTC1Nmjspe2PP/5g4MCBMuVQVEoFvX8XfK1WIcqIZcuWcenSJU6fPl1pP9hbtGjBhg0bOO/vT02/bmhV0OTyq+jqrns87OhVSEyBid1zu4IWku9C0G/QcIYhQy91jz32GCtWrGD69Om4u7uzYMECY4ckRJkjyYAoV6Kionj77beZMWMG7dq1M3Y4Rte6VgTYJhb6uHW+oCjwVLe89tLA1SXlPhkAmDZtGjdu3OC1116jQYMGMuVQiEdIMiDKlXfffZe0tDQ+/PBDY4dSNoTuAcUM1IL3h6elw4a/oZs71KuR155aiPaH5HCwzHPHcuG9997jxo0bTJo0CTc3Nzp37mzskER5lJ4AqdGAAuZVwbRijFmSZECUG5cvX2bp0qV89NFH1KpVy9jhlA2RfoVKBAD2nYfI+Ly6CB4RdRpcBhU+tjImc8phv379GD58OH5+ftSrV8/YYYmyTtVC2H4IXAcRvhAfwH9TdzVg5w41ukP9KVCzl67JrRyS2QSiXFBVlZdffpl69eoxd+5cY4dTdsRcKvQh63zBzASeLMgXY8WkSNcoqywtLdm2bZt+ymF0dHS+x2RkZJCWlkYBxlqLikRVIWgD7GgAfw6GoPUQf5OsNTy0EHcVbv0KB/uAdzMI3WukgItHWgZEubB792727dvH1q1bsbCwMHY4ZUdGAaoSPiQ+GbafAc/WUM2uIEcokFH4MQllWeaUw65du/LEE0+we/duzMz+W7QpLi4Of39/goKCCAkJISkpCQBFUahWrRpubm40bdoUd3d3NBr5PlUhpUSB3zMQvBX495t+ZrXOnGQ+F3ddlzg0mA4dloBZCSw4VkIkGRBlXmpqKq+88gp9+/ZlxIgRxg6nbNGYQiFqDG07ld8sgqy0qpbY2ETsVbVCzdxo2rQpW7ZsYeDAgTz//PMsX76c2NhYfHx8uHRJ1xLyaEuAqqpEREQQFRXFuXPnsLOzo1evXnTo0KFC/W4qvaR7cKA3xN/4d0NhWoT+LeV961eIvgB9fcDc3tARlghJBkSZt3TpUm7cuMGmTZvkQ/dRNg0g+lyBd197DGwtYXj7gu2vQcvT8z5m36UlNGnShCZNmtC0aVP9w93dvdwWfXp4ymH9+vUBXQ2L/LoDtFrdB35cXBy7du3in3/+YdSoUTg4OJR0yKKkpSfBof66RKA4lTzVDHhwBg4PhX5/6JL2Mk6KDokyLTw8HHd3dyZMmMAPP/xg7HDKnhOz4eZPBRpEGB4LLnNgQlf4dXbBL/GH3SrOXn/AlStX9I/w8HBA13Rer149mjZtmi1RqFmzZplP3lRVZdGiRZiYmBT5HBqNBktLS6ZOnUrNmjUNGJ0odWfmw5WvyW1xr9O34M0N4HtN117QtRF8NgHa1svthAq0/Riav14i4RZEQe/fkgyIMm327NmsX7+e69evU6NG+Z/eZnBBv8Ox8QXa9bv98OIvsPd13ZiBArFyhZF3so2QjoyM5OrVq1y5ckX/3ytXrnDz5k0yMnTfqBwcHLIkB5nJQsOGDbP00RvT0aNHOXjwYLHPoygKVlZWzJw5E3v78tEsLB4ReVK30Fcu3QJnbkH3d6F2NXiuL2hV+P4ARMXDifegSW5rpSmmMOQSVHHPZYeSJRUIRbl3/vx5li9fzueffy6JQG7cRurmOuuXK87d2mNQswr0b1nQk2ug8Qs5TpWqVq0a3bp1o1u3rFWLUlNTuXnzZpZWhMuXL7NlyxZiY2MBMDU1pWHDhlkShcxkoWrVqgUNrthCQ0M5dOhQrs+npKTg6+tLcHAwISEhJCcnM2LEiByLXamqSnJyMtu2bWPKlCllvkVE5ODSYt3smVwGCv7fJrAyh+Pv/Df4dlJ3aPwqvLEBNs/L49zXvoWOSwwdsUFJMiDKpMyphI0aNeKFF14wdjhll4kFNH4RLnxAbk2bmY6/W8hza8yh4dOFOsTc3JxmzZrRrFmzLNtVVeXevXtZkoQrV67w+++/Z1liuGbNmtmShKZNm1KnTp1iNeU/SqvVsmXLljz3SUxM5PDhw9jb2+Pk5JTvUsharZbAwEDOnj1L+/YFHJQhyoakuxC8Jc9xAkeuwKA2WWfhOFeF3k3B+6xupo6tZQ4HqulwcxW0+ahMzy6QZECUSdu3b+fQoUN4e3tjbm5u7HDKtub/0y07nBBU/OWLH9b+c91iRQagKApOTk44OTnRp0+fLM8lJiZy/fr1LEnCiRMnWLNmjX5an4WFBY0bN86WJDRu3Bhb28J/wF67do3IyMg897Gzs2P+/PnY2dkREhLCihUrCnTuI0eO0K5dO2kdKE/uHsj3vZOSrmsZeJS1BaSmw4U70CW3noCMBIg4Ds4Dih9rCZFkQJQ5KSkpvPrqq3h6evL4448bO5yyz9QKuq6BA73QzYkuZnEcxQRq9AT3QowyLAZra2vatGlDmzZtsmzXarUEBwdna01YuXIlYWFh+v0y5/0/+nBxccn1hnzixAkURclz5oCpqSl2dgUqxpBFdHQ0AQEBNGzYsNDHCiOJOp1vWe8mzvD3DcjQgsm/5SVS08Hv3xmIIXn11CkmEHVKkgEhCuObb74hMDCQHTt2yLergqrRDbqtg2MT/t1QxIRAMQH7ltBrGyjGLaij0WioU6cOderUYeDAgVmei4mJ4dq1a1mShEOHDrFs2TLS0nQf6La2tjnOcqhTpw6BgYElVlFQo9Fw9epVSQbKk5iL+c7Ieb4/zP4Znl4Orw3VDSD8YBuEReueT0rN7xplu5KnJAOiTLl37x4ffPABzz//PM2bNzd2OOVL3SfB1AZ8J0F6XCG7DP5tUXAeBN3XgVnZnjVkb2+Ph4cHHh4eWbanp6dz69atLDMcrly5wp49e4iKigKgbt26TJ8+vcRi02q1hISElNj5RQlIj893l1n94U4ULPaGX47otnVsoEsMPtyey3iBTKoWMpIME2sJkWRAlClvvvkmZmZmvPPOO8YOpXxyHQLDrsLJ2XBnCyomKHmWKNQAWjCz1412rjep3C60ArqmfXd3d9zd3Rk6dGiW5yIiIrhy5QqnT5/mwYMHJdrqlFmHQZQTmrzu5P/58El4dQhcDAZ7K2hVB974XfdcY6c8DlQ0ugG5ZZgU1hZlxtmzZ1m1ahXvvvsujo6Oxg6n/LKsCT03w5BLnIzx4F5sLjc9xRSqdYTOq2BUKNSfXK4TgfxUr16dHj160KlTpxJfUyA9PY869qLssWukez8UQFUb6NFElwgAHLgAbo7QNLc6AwAoYNug2GGWJGkZEGWCqqrMnTuXZs2aMWvWLGOHUzHYN+OlX1Tc3Eazac1SiD6v6z5QTMHaTTc2wKRsf1spCSYmJiW+AqGMdSlnHDvAzZWFPuz343AyAD5/CvLML9V0cOxY9PhKgSQDokzYtGkTR44cYd++fZiayp+lIdy/f58TJ07okiurWmBVdkcyl6bSqBAolVrLj6SkJA6cjGNYPoNu/7oM722Fga10tQb+vg4//wWDWsPcQflcRDHRDfItw+RTVxhdUlISCxYsYOjQodlGjYui27NnDwCDBw82ciRli4tLnu25xaYoCrVr1y7Ra4jiUVWVM2fOsGrVKtatW0d0dDTnFlehlXM8GiXn4l2ujrophYt3QVwy1K8BHzwBrzwOpnnVw1JMofZog9XsKCmSDIiSp03TjaRVTMDEOlu/9JdffkloaCj79+83UoAVk7e3N506daJWrVrGDqVMsbOz09dqz4+fnx/JycnExcUBumJFmWWVO3fujKVl9oFnqqpSp04dwwYtDCIyMpK1a9fy008/cf78eVxcXHj++eeZNm0a7pYX4cioXI9tWAv2/a8IF1XToclLRQ+6lEgyIAxPmwGhu+DOFl3Vrbgb6EvlmtpBNQ9dUZuG0wmNMePjjz/mxRdfpHHjxkYNuyJJTU1l3759vPbaa8YOpUzy8PDg4MGD+Y4d8PX1zZI0XL58mcuXLwPQunXrHJOBtLQ05s2bx5w5cxgzZkyZWZSpssrIyODAgQOsWrWKbdu2odVqGT58OB9//DEDBw78r1tSbQQuQyFsb67rExSaYgINpkGN7oY5XwmSVQuF4ahauLECLrwHSaG65rHc3lSKCahazt53ZdbyRPb53pT14A3o4MGD9O/fn7Nnz9K2bVtjh1PmJCYm8tVXXxl81L+iKFSrVo0tW7Zw6NAhXF1def7555k5cybVq1c36LVE3gICAli9ejWrV6/mzp07tGjRgqeffppJkyblvvBZUhjsagFpscUv7a2YgJUzPH4BzI23kmVB798ytVAYRsJtOPgYnJylSwQg7+xazQBUWlYLxvfNWBzurYESHuFdmXh7e+Pq6pqtxK/Qsba2ZsAAww+otLKyYsaMGRw8eJDz588zePBg3n//fWrXrs0zzzzDP//8Y/Briv8kJSWxdu1a+vXrR8OGDfn6668ZPHgwfn5+/PPPP7z88st5r4Bq5Qx9D/zbnVmMhbEUUzB3hL6HjJoIFIYkA6L4Yq7AXg8I9y30oWYmoFHS4fRLcGqOJAQG4u3tzZAhQ2SKWx48PDyoW7euQX9Hw4cPx8rKCoBWrVqxYsUK7ty5w9tvv83evXtp3bo1ffv2Zfv27WRkGHBRqUpMVVVOnTrF888/j7OzM5MmTSIjI4Nff/2Vu3fvsmzZMjp16lTw/8+O7WHgMbCpS9FukQrYNwPPv6FKbisXlT2SDIjiSQyBA70hNbLI/Wz6t+j178H/TYOFVlldu3aNGzduZKvAJ7JSFIVx48ZRvXp1gyQEgwYNokmTJtm2V69enYULF3Lr1i1+++03kpOTGTlyJI0bN+arr74q0EBGkV1ERATffPMNbdu2xcPDg+3bt/PCCy9w/fp1/vzzTyZPnoy1tXXRTu7QSte83/Tlf1sICnKr1IDGDFq9C4NOl/kiQ4+SMQOi6FQV/hwMdw/mmAhcDIZ3NsPpW3A3BqzNobkrLBgKw/Ja7r3fn1Crd0lFXeF9+eWXvPnmm0RGRhb9w7ASSUpKYsOGDQQGBhb6WI1Gg6IoDBkyhHbt2hX4uJMnT/LNN9+wYcMGLCwsmDZtmgyiLYCMjAx8fHxYtWoV27dvR1VVhg8fzowZM/D09MTEpBhN+7lJCoMbK+HWaogPyGEHDVRpAg1nQIPpYFHN8DEUQ0Hv35IMiKK75QXHJ+f69O5zsGQfdG0ELlUhMRU2n4AjV2HZ0zCzb05HmYC1Kwy7BiYWJRV5hda3b1+srKzYtWuXsUMpN1RV5fTp0+zfv1+/6mFeNBoNWq0WNzc3Ro4cSbVqRbsBhIWF8cMPP/Djjz8SHh7O448/zty5cxkwYIB08TwkICCAn3/+mdWrVxMcHFywwYAlITUGov0hJVK33oBFdXBoA2a2pRdDIUkyIEqWqoJ3M4i7RmGWy83QQoc3ITkNrnyex45dvaD+xGKHWdlER0dTo0YNlixZwuzZs40dTrmTnJyMv78/J0+eJDIyMsd9TE1Nady4MZ06daJOnToGuWknJyfz22+/8c0333Du3DmaNWvGSy+9xOTJk7GxsSn2+cujpKQkNm/ezKpVq/jjjz+oUqUKEyZMYMaMGXh4eEiyVECSDIiSdf8v3ViBIhj2ua6e993vc9tDo6vjPcivyOFVVhs2bGDcuHEEBQVJ4ZtiSkpK4uOPP+bYsWN89tlnWFhYULNmTapXr15iCx2pqsqRI0f45ptv2LZtG1WqVOHZZ5/lhRdeoG7duiVyzYdlZGSQlKRbatfCwqLUayRkDgZctWoV69evJyYmhj59+jBjxgzGjBkj3V5FUND7txQdEkUT4p13HYGHJCRDUhrEJMKOM7DHH8Z1yesILUSd0DXFlbH+t7LO29ub1q1bSyJgAFZWVty7d4+YmBg6dOhQKtdUFIVevXrRq1cvAgMDWbp0KStWrOCLL75g1KhRzJ07lx49ehjsW7GqqoSEhHDu3Dnu3LlDeHh4lkJMVatWpXbt2rRs2ZJGjRqV2LfxiIgIvLy8WLVqFf/88w+urq7MmTOHadOm0ahRoxK5pshKkgFRNJF+BZ49MH8tLDuk+7dGgdEe8N20AhwYdQacZXGdgsrIyGD37t3MnDnT2KFUGOHh4dSsaZya8vXq1WPx4sUsWrSINWvWsGTJEnr16kW7du2YO3cu48ePx8Ki6ONqAgMD2bt3L/fu3dOPgXjUgwcPiI6O5vz589jb29OvXz9atmxpkKQgIyOD/fv36wcDAowYMYJPP/2UgQMHlsxgQJErmVooiib6QoF3nTcYfBbCL7NgcBvduIHUfPMIDcRcLFaIlc2JEyeIjIyUKYUGdP/+/dIdoJYDW1tbZs+ezcWLF9m7dy9OTk5MmzaNOnXqsGjRIu7evVuo86Wnp7N7925++eUX7t+/D5BjIpAps6UgJiaGLVu28Ntvv5GQkFDk13Pz5k3eeust6taty+OPP86VK1f47LPPCAkJYePGjQwePFgSASOQZEAUTUZigXdt6gL9W8KUnuC9AOKTdeMG8hytomggvegfOJWRt7c31apVo3PnzsYOpcK4f/++0VoGHqXRaPD09GT37t1cuXKFJ554gi+++II6deowefJkTp06le850tLS8PLy0u9bgCFj2Vy/fp2ffvpJv2BTQSQmJrJmzRoee+wxGjVqxLfffsuwYcM4ceIE58+fZ968eUZPuio7SQZE0ShF72Ea21k3gPBaWF57qboCHqLAvL29efzxx+VblQGVpWTgYU2aNOG7774jODiYjz/+mKNHj+Lh4UH37t3ZsGFDjmsuqKrKhg0buH37dpGSgIfPExMTw6+//kpKSkqe+508eZJZs2bh7OzMlClTUBSFNWvW6KdUyqyAskPGDIiisakHMQXvKnhYUqruvzFJeeykZoBt/SKdvzK6ffs258+f5803pYKjoaSmphITE1Omv7E6ODgwf/585s2bx44dO/jmm28YN24cbm5uvPDCCzz77LP6GggnT57kxo0bpKSk4OvrS3BwMCEhISQnJzNixIgciyZptVpOnz7NqVOniIyMxMzMjFq1ajFo0CBUVeXAgQMMGTIkyzHh4eH6wYAXLlzAzc2Nl156iWnTptGwYcNS+b2IwpOWAVE01bvk2zpwP4cqq2np8OsRsPq3GmGeHEtnBHdFsGvXLkxNTRk4cKCxQ6kwwsPDAcpky8CjTExMGDVqFH/++Sdnz55lwIABvPPOO9SuXZuZM2dy8uRJfHx8AF2T/eHDh4mIiMDJySnP827fvp09e/bg4uLC4MGD6d27N/b29iQkJOinAQYFBZGRkcGePXsYO3Ysrq6uvP766zRr1ow9e/YQGBjI+++/L4lAGSctA6JoavaGmyvz3OW5VRCbBL2agKsj3I2Gtb5wJRS+mAi22ZeC17sfp+Gbj1cyadJkmjVrZtjYKyBvb2969uwpy0AbUObguvKQDDysbdu2rFq1ik8//ZRly5bx/fffExAQoJ+SaGdnx/z587GzsyMkJIQVK1bkeJ4LFy7g7+/PuHHjcn0PKorCqlWr+OmnnwgJCaFVq1YsXryYiRMnypLN5Yy0DIiiqT0GTPMuQDWui24q4Q8HYfbP8OUecHOE7a/AK4/nfpyKhuMR7fj++x9o3rw5HTp04MsvvyQsLM9BBpVWYmIihw4dytZcK4qnPLUM5KRGjRq89dZb3Lhxg969e+v75k1NTbGzs8v3+OPHj+Pq6kqzZs3QarWkpqZm20dVVRRFYeTIkZw8eRJ/f3/mzp0riUA5JC0DomhMraDxbLi0GMh5WtL4rrpHYSkaU0a8spO7rzqye/duvLy8WLhwIQsWLKBfv35MnDiR0aNHF+gDrTI4dOgQycnJMqXQwDJbBsrymIGCiIiIyHPqYE6Sk5MJCQnBw8ODAwcOcOLECVJTU3FwcKB///60bNlSv6+iKEyfPr3UCjOJkiEtA6LoWrwJVs5oVQOPBm7zEVg5Y2FhwahRo9i8ebN+XfLU1FSmTZtGrVq1mDBhArt27SrQwjIVmbe3N40aNZIV7wzs/v372NraYmVlZexQiiUsLKzQI/YfPHgA6LoKMscgjB49GhsbGzZt2sT169f1+2o0GkJDQw0asyh9kgyIIsvQWPPj+e6gqnnXDCgoxQSqdYEm87I9VbVqVZ555hn+/PNPgoKCWLRoEf/88w9Dhw7FxcWFOXPm8PfffxdrylR5pKoq3t7eDB06VKZoGZgxqw8aUnh4eKH/NjK7BJKSkpgwYQIeHh60bt2aKVOmYG1tzV9//aXfV6vV6ltRRPklyYAokoSEBMaMGcML723iYMIEKO6NSDEB20bQeydo8p4nX6dOHV5//XX++ecfzp07x/Tp09m6dStdu3bF3d2dRYsWce3ateLFU074+/sTEhIiXQQloCxUHzSE9PT0QifJpqa6HmQHBwfc3Nz02y0sLGjcuDEhISFkZGTot+c0nkCUL5IMiEILCQmhZ8+eHDx4kB07djDguXUo3deDiXXRixHV6A4Dj4FlwQceKYpCmzZt+Oyzz7h9+zYHDx6kV69efP311zRp0oTOnTuzZMmSCv2txdvbGzs7O3r27GnsUCqcslpwqLA0Gk2hWwYyx+PY2tpme87GxgatVpule04KXZV/kgyIQjlz5gydOnUiIiKCY8eO/TeCve44GHoZavbR/ZxvUqDoHiZW0HEp9PujWCsUmpiY0LdvX1atWsXdu3fZsGEDTk5OzJ8/HxcXFx5//HHWrVtXrJrqZZG3tzeenp6Ym5sbO5QKp6IkA1WrVi10y0CVKlWwtbXNseRwXFwcpqam+r85RVFk9kAFIMmAKLDt27fTs2dPXF1d8fPzo3Xr1ll3sKkD/XzA8wTUmwim2b9V6FVpCh2+gVFh0Ph53VoEBmJlZcUTTzzB9u3buXv3Lt999x2xsbFMnDiRWrVqMXnyZPbt25djydby5P79+5w4cUKmFJaQ8PDwCtFN4OzsXKSxNC1atCA2NpabN2/qtyUkJHD16lXq16+PRvPfe9bZ2dkgsQrjkamFIl+qqvLFF1/w2muvMWbMGH755Resra1zP6CaB3RdDV1WQXwARJ+HtFhda4F1bXBsB2Z51ygwlGrVqjFr1ixmzZrFrVu3WLduHV5eXnh5eVGrVi3Gjx/PpEmT6NChQ7kbgLdnzx4ABg8ebORIKqaK0jLg5uaGiYlJlj5+Pz8/kpOTiYuLA+DatWv6VoDOnTtjaWlJz549uXjxIr///jtdu3bF0tKSU6dOkZGRQb9+/fTnUlWVevXqleprEoanqAVIGWNjY7G3tycmJoYqVUrnQ1yUDWlpaTz//POsXLmShQsX8sEHH2T5RlAeqarKmTNnWLt2LevWrePevXs0adKEiRMnMnHiRBo0aGDsEAvkiSee4M6dO/z999/GDqXCSUxMxMbGBi8vLyZOnGjscIpt27ZtnD9/Xt9C8NVXXxETk0O9cGDu3LlUrVoVgKioKPbv38+tW7fIyMigdu3a9O/fH1dXXS1xRVGoVasWzz33XOm8EFFoBb1/SzIgcvXgwQOeeOIJ/vrrL5YvX860adOMHZLBpaenc+jQIby8vNiyZQsJCQl069aNSZMm8eSTT+oXeSlrUlNTqV69Oq+99hpvvfWWscOpcIKCgqhXrx779+9nwIABxg6n2A4cOMCxY8dK5NyjRo3K3mUoyoyC3r/L91c8UWJu3rxJ165dOXv2LD4+PhUyEQD0i/v8+uuv3Lt3j3Xr1uHg4MCLL76Ik5MTw4cPZ8OGDSQl5bXEYslSVZWkpCRiY2P1C8QcOXKEuLg4mVJYQipK9cHIyEiee+45Bg4cSEBAgEHPrSgKdevWpVWrVgY9rzAOGTMgsjly5AijRo3C0dGRv//+G3d3d2OHVCpsbGyYMGECEyZM4P79+2zYsAEvLy/GjRuHnZ0dY8aMYdKkSfTp06fEp1IlJyfj7+/P9evXCQ0NzZKMmJubk5CQwNChQ8tNl0Z5U14XKcqk1WpZtWoV//vf/0hPT2fJkiU8/fTTLF++nJiYmGIX51IUBTMzM0aOHFnuxtqInEk3gchizZo1PPPMM3Tr1o3Nmzfj6Oho7JCM7vr16/qBhzdu3MDFxYUJEyYwadIk2rRpY9APw9TUVA4dOqQfqJWbzLetRqOhRYsWeHp65jgnXBTN6tWrmT59OikpKeVu2uaZM2d4/vnn8fPzY8qUKXz22WfUqlUL0HX9rVq1isTExEKvV5BJURRMTEyYPHkyderUMWToogRIN4EoFK1Wy1tvvcWUKVOYNGkS+/btk0TgXw9XNfz7778ZM2YMv/76K+3ataNVq1Z88skn3L59u9jXCQoKYunSpZw4cSLPRAB0H8iKoqCqKhcvXuS7777jwoULxY5B6Ny/fx8HB4dylQg8ePCAOXPm4OHhQUJCAn/99Re//PKLPhGA/8p6F7XFQ1EUbG1tmTZtmiQCFYy0DAiSkpKYNm0aGzZs4JNPPuG1116Tpr98pKWl4ePjw9q1a9m6dStJSUn06tWLSZMmMXbsWP1o7IK6cuUKGzduRFXVYjXhDhw4kK5di7BUpMji1VdfZefOnVy9etXYoeRLVVV+/fVXFixYQFJSEu+99x5z5szBzMws12O0Wi3Hjh3j8OHD+SaegD7x7NixI/3798fCwsKQL0GUIJlNIArk3r17jBgxgvPnz+Pl5cXo0aONHVK5ExcXx7Zt2/Dy8uLAgQOYmpoyZMgQJk2axJAhQ/L94AwKCuLXX38tcrPto4YPH067du0Mcq7KasqUKdy6dYsjR44YO5Q8nT9/nhdeeIGjR48yYcIEPv/8c1xcXAp8fFJSEufOnePMmTNERETkuE+VKlVo06YNHTp0wN7e3lChi1JS0Pu3DCCsxDJX/UtLS+Ovv/6iY8eOxg6pXLKzs2Py5MlMnjyZu3fv8ttvv+Hl5cWYMWNwcHBg7NixTJo0iZ49e2ar0ZCSksLmzZtRVZWUlBR8fX0JDg4mJCSE5ORkRowYke3G/s477+QaS4MGDTA1NaVevXqFbp0Q/ynr1QdjY2NZtGgR3377Le7u7hw8eJC+ffsW+jxWVlZ07dqVrl27kpqayt27d/UzVqysrKhVq1beBcZEhSHJQCW1d+9ennzySRo0aMDOnTupXbu2sUOqEJycnJg3bx7z5s3jypUrrF27Fi8vL1auXEnt2rX1hY1atmwJwKFDh4iPj0dVVRITEzl8+DD29vY4OTkRGBiY4zVGjRqVbVtoaCh+fn40bNiQjIwMduzYwdSpU0vypVZo9+/fx8PDw9hhZKOqKuvXr2f+/PnExsby0UcfMW/ePIOMbTA3N5dxAJWYDCCshL777juGDBlC7969OXr0qCQCJaRp06a8//77BAQEcPToUYYOHcry5ctp1aoVbdu2ZfHixZw6dUo/RsDOzo758+fz8ssv51nopk2bNtkemUvItmzZElVVCQwMJCwsrFReZ0VUFksRX7p0ib59+zJx4kR69OjBlStXeO2118rVIEdRdkkyUImkp6fz4osv8uKLLzJ37ly2bdsm09FKgaIodO/ene+//56wsDC2b99O48aN2bFjR5bBW6ampvqlYwsjPT2dy5cvU69ePX2frkaj4eTJkwZ7DZWJqqplqpsgPj6e1157jTZt2hASEsLevXvZuHGjJPHCoKSboJKIjY1l/Pjx7N+/nx9++IFZs2YZO6RKydzcnOHDhzN8+HB++ukngoODi33O69evk5ycnKUSnFarLRcj4cuiuLg4UlJSjN4yoKoqmzZt4uWXXyYqKop33nmHV199VUbyixIhyUAlEBQUxNChQ7lz5w579uypELXWyztVVfVV7orr/PnzmJiY0Lx58yzbExMTiY+Pl9afQioL1QevXr3Kiy++iI+PDyNGjODrr7+WlQFFiZJuggrOz8+Pzp07k5CQgK+vryQCZUR8fLy+n784kpOTuX79Ou7u7lhZWWV7Pjw8vNjXqGwyf2fGSAYSEhJ44403aNWqFTdu3MDb25tt27ZJIiBKnCQDFdiGDRvo06cPDRs2xM/PL9s3R2E86enpBjnP5cuXSU9Pz3XVuLS0NINcpzIxxiJFqqqybds2mjdvzpdffskbb7zBxYsXGTJkSKnFICo3SQYqIFVV+fDDDxk3bhyjR4/m4MGDZWYwlNB5tN5AUZ0/fx4LCwsaN26c4/MlvaBSRXT//n0URSm15atv3rzJkCFDGDVqFC1btuTixYu88847Obb0CFFSJBmoYFJSUpg2bRpvvfUW7777Ll5eXlhaWho7LPEIOzu7Yt+o4+LiCAwMpHnz5pia5jz8559//uHBgwfFuk5lc//+fapXr17iiVRSUhKLFi2iRYsWXLp0iW3btuHt7U3Dhg1L9LpC5EQGEFYgERERjB49mhMnTrBu3TomTJhg7JBELjQaDTVr1ixWLYALFy6gqmqu68mnpqbqCxQ1adKELl266B8tW7bMNYGo7EpjWqG3tzcvvfQSwcHBLFiwgDfffFMq/Qmjkk+DCuLq1asMGTKE2NhYDh06RLdu3YwdkshHgwYNuHv3bpaFifz8/EhOTiYuLg6Aa9euERsbC0Dnzp2ztPKcP38eOzu7HAeXKYpCixYt9CstZj68vLzIyMjA2toaDw8PfXLQuXNnnJ2dS/YFlxMlWXDo1q1bzJs3jx07djBgwAD27t2baxePEKVJkoEK4NChQ4wZMwYXFxf8/PyoX7++sUMSBdC+fXuOHTuWZZuvry8xMTH6ny9fvszly5cBaN26tT4ZiIiIICwsjK5du+Y4/kBVVTw8PHB3d8fd3Z3JkycDuumGZ86c0ScHa9as4dNPPwWgTp06WVoP2rVrVym7mEoiGUhJSWHx4sV8+OGHVKtWjY0bNzJmzBhZHVSUGbJqYTn3008/MWvWLPr27cuGDRtkVbFyZt26ddy8edNgKxaCrlXAwcGBF198sUA3m+Dg4CytB6dPnyY5ORkzMzPatWuXJUGoV69ehb+BtWnThp49e/Ldd98Z5Hz79u1jzpw5BAYG8sorr/B///d/UvtBlBpZwriC02q1/O9//2Px4sXMmjWLb7/9VvqAy6Ho6GiWLl1qsKmGmaZNm0bdunWLdGxqairnz5/Hz89PnyDcuHED0M29z+xW6NKlCx4eHkUqoVxWaLVaQkNDCQsL4/79+6SmprJhwwaaNm3K+PHjcXNzw8bGpkjnvnPnDi+//DKbN2+mT58+LF26VKb3ilInyUAZFR0dzZUrV/QfQMnJySiKQpUqVXB1daV27do0adIEMzOzXM+RkJDApEmT2L59O19++SVz586t8N/WKrLTp0/j7e1tsPN16dIFT09Pg50PdIPqTpw4oU8O/Pz8iIuLQ6PR0KJFiyytB02bNjXY1MmSkpCQwKlTpzh58iQJCQmAblCnqqqkp6frZxIoikKTJk3o1KlTgbvfUlNT+eqrr3jvvfewt7fniy++YPz48fIeFUYhyUAZExISwl9//cW1a9f0HwqP/uo1Gg1arRYLCws6dOhAjx49ss01Dg0NZdiwYVy9epXffvuNoUOHltprECXn0KFDHDlypNjnad68OWPGjCnxm3FGRgZXrlzJ0nqQObuhSpUq+paDzp0707lzZ6pXr16i8RSUqqpcuHCBXbt2kZqamu09mJPM92WLFi14/PHH8xz1f+jQIV544QWuX7/OSy+9xDvvvCOfmcKoJBkoI9LT0/njjz/w9fVFUZQCffiA7huJtbU1w4cP1482Pnv2LMOGDUNRFLy9vWnTpk1Jhi5K2apVqwgMDCz0/PbMv6vOnTszcOBAo30rj42N5dSpU1nGH2SW9m3UqFGW1oPWrVvn2fpVErRaLTt27MDf379IxyuKgpWVFZMmTco28yIkJIRXX32V3377jR49erB06dJcq0IKUZokGSgDkpOTWbt2LSEhIQVOAh6W+SHfv39/IiMjmTBhAs2bN2fHjh0yDayCuXfvHq1bt6Znz54MHDiQsLAw/TfS3GT+fdjb2zNixIgyN4tEVVVu3bql71b4+++/OXv2LGlpaVhaWtKxY8csCYKrq2uJxaLVatmyZQsXL14s1nkURcHMzIzp06fj5OREWloa3377LYsWLcLKyorFixczZcoU6RIQZYYkA0aWnp7OL7/8UuRE4FF79uzB1dWVNWvWSHGSCkZVVYYOHcrJkyf5559/qFmzJrdv3+bkyZNcv349xwWNTE1NqVu3rn76YFnvo8+UnJzM2bNns7Qe3L59GwA3Nzd990KXLl3o0KGDwUryHj16lIMHDxrkXIqiYGtrS9u2bZk7dy6XLl1i9uzZfPDBBzg4OBjkGkIYiiQDRubj48Px48dJTk7G19eX4OBgQkJCSE5OZsSIEbRr1y7L/sHBwZw7d46QkBDu3buHVqvlnXfe0T+vqirPPvtsiX57Esbx/fff88ILL+Dt7Z1tYRpVVYmOjiY8PFw/sM3R0ZFq1aqVmwQgP6Ghofj5+elbD06ePEliYiKmpqa0adMmS+tBw4YNC/2tOzw8nB9//BGtVktKSkqB3o8Py8jI4IcffiAiIoIBAwbQvXt3VFXl1KlTRERE8P3339O+ffvi/hqEKBEFvX/LXLQSEBwcjK+vL6Ar8nL48GHs7e1xcnIiMDAwx2OuX7/OmTNnqFWrFlWrViUyMjLL8xqNhm3btjFr1ixZfKYCuXTpEvPnz+eFF17IcYU6RVGoWrUqVatWNUJ0pcPFxYVRo0bpSyenp6dz4cIFfcvBgQMHWLp0KQDVqlXL0nrQqVOnfGtrHDhwQN86V9D348P8/PyyFIIC3f8XDw8PZs+ebZSljoUwNEkGSsDhw4f1/bl2dnbMnz8fOzs7QkJCWLFiRY7HeHh40KNHD8zMzNi1a1e2ZEBVVSIiIrhy5QotWrQojZchSlhKSgpPPfUU9evXZ/HixcYOp8wwNTWlbdu2tG3bllmzZgEQFRWln9ro5+fHl19+SXR0NIqi0KxZsyytB82bN9cnzNHR0Vy7dk1/7oK+HzPFx8dz+PBhevTowR9//JHlOUVROHPmDIMGDTLwb0CI0ifJgIFFR0frC7SA7oOtIEVZClKRTFEU/Pz8JBmoIN566y0uXbrEiRMnZLnafDg6OjJo0CD9jVer1XL9+vUsYw9Wr16NVqvF1taWTp06ZamYmNkyUND3Y6YDBw5QvXp1WrdunS0ZUFWVc+fO4enpKQMGRbknyYCBXbp0qVBTCAtDVVXu3LlDfHy8lDMt5w4cOMDnn3/O559/Ttu2bY0dTrmj0Who0qQJTZo0YerUqYDuW/zp06f1ycGqVat47LHHijzAMjg4GH9/f2bMmJHrPikpKURFRVGtWrUivxYhygJJBgwsNDS0xK8RFhaGu7t7iV9HlIzIyEimTp1Kv379ePnll40dToVha2tL79696d27N6BLnj/77DOSk5MLfS5VVdmzZw8tWrSgdu3aPHjwINd9Q0NDJRkQ5V7FGI5choSGhpZIq0AmRVG4e/duiZ1flCxVVXnuuedISkril19+qTAzAsoiRVFynJZZEOfOnePevXsMGDAg32tkljMWojyTlgEDS0lJKdHzK4pS4tcQJefnn39m8+bNbNq0SaaJloKiJObJyckcOHCA7t27F2gV0JJM/oUoLfK1xMBK45ueDFYqnzLr1c+YMYMxY8YYO5xKwdLSstDH+Pr6kpGRQYsWLXjw4AEPHjwgNjYW0CUKDx480K8yqaqqDP4UFYK0DBiYnZ0d8fHxJXZ+rVZbrpeMrazS0tL0Ne2/+eYbY4dTaTg7OxMQEFCoY2JiYkhOTub777/P9tyRI0c4cuQIzz33nL4kuJQGFxWBJAMG5urqqq8gWFLkw6f8ee+99zh9+jS+vr4yE6QUubq6EhgYWKj3Y+fOnWnatGmWbQkJCXh7e9O2bVuaNGmiLwJlYmJCjRo1DBqzEMYgyYCBubm5cerUqSzb/Pz8SE5OJi4uDoBr167pmx07d+6MpaUl0dHR+tXUMmckHD58GAAHBwf9CoUmJiY4OTmVymsRhnH06FE++ugj3n33XTp16mTscCqVli1bZlsaOr/3o4uLCy4uLlmOyZxNUKNGDZo1awbougRbtmwpg0BFhSDJgIE1a9aMXbt2kZaWpt/m6+ubpZzp5cuXuXz5MgCtW7fG0tKSBw8eZCtqkvlz3bp1adOmDRqNhlatWpX60q+i6GJiYpg0aRLdunVj4cKFxg6n0qlZsyZubm5ZFgwryPuxILRaLR07djR80EIYgSxUVAL27t3LiRMnSmSU8bPPPpvtW4souyZNmsTOnTvx9/enXr16xg6nUgoKCmL16tUGPaeiKDRq1IgJEybIgF5RphX0/i3tWyWgV69eRRrFnBdFUWjTpo0kAuXIunXrWLt2Ld9//70kAkZUt25dOnXqZNCbtrm5OcOGDZNEQFQYkgyUAGtra4YNG2aw8ymKgrW1NZ6engY7pyhZgYGBzJ49m6eeeoqJEycaO5xKr3///jg4OBR7YG9ma9+YMWNkVo+oUCQZKCHNmjUrUMGS/CiKgpmZGRMnTpT5zOVERkYGU6ZMwcHBQb/0rjCuoKAgPv/88zzLCudHo9GgKArr16/nwIEDBoxOCOOTZKCEbNy4kfnz5+sHKhWlOTGzRWDatGkynbAc+fTTTzl27BheXl44ODgYO5xKLzg4mP79+2Ntbc3ChQvp1asXiqIUehZAjRo1mDVrFoMHD+aFF15g/fr1JRSxEKVPZhOUgN27d/PUU08xfvx4Fi9eTFhYGFu3biUqKqpQKxq6uLhIi0A5c+LECRYtWsTChQvp2bOnscOp9MLDwxkwYACqquLj44OzszPOzs40a9YMX19fLl68iFarRaPRZOlCyEzeVVWlWrVqdO7cmQ4dOqDRaPjiiy948OCBvvVn8ODBxnp5QhiMzCYwsD///JPBgwfj6enJxo0b9dMA09PTuXTpEn5+fvo6Ag9/M1FVFVVV9XOXv/zyS6ysrNi/f79RXocovPj4eNq1a0fVqlU5duyYTAE1stjYWPr27cudO3c4evRojit9JiQkcOPGDUJDQ7l79y4pKSloNBqqVq2Ki4sLderUwc3NLVvLXnp6OmPHjmX//v34+PjQvXv30npZQhRKQe/fkgwYkJ+fH/3796dLly7s3Lkz1xkFsbGxhIWF6T98FEXBzs4OFxcXnJycMDc3Z+vWrYwePZpDhw7x2GOPlfIrEUXx7LPPsm7dOs6dOydLTBtZUlISgwYNwt/fn8OHD+uLdhlScnIygwcP5uzZsyV2DSGKS5KBUubv70+fPn1o0aIF+/btw8bGpljnU1WVTp06YWpqiq+vr0xhKuMyk7eVK1fy9NNPGzucSi01NZVRo0bx559/4uPjQ7du3UrsWpmtD8HBwRw9epRGjRqV2LWEKAqpM1CKrl69yoABA2jQoAG7du0qdiIAuj7Ljz76iL///htvb28DRClKSmhoKM888wyjRo1ixowZxg6nUsvIyGDq1Kn4+Piwbdu2Ek0EAKpUqcKePXtwcHBgwIABhISElOj1hCgp0jJQTIGBgfTs2ZMqVapw+PBhqlevbrBzq6pKv379iIiI4Ny5c1IDvQzSarV4enpy6dIlzp8/T7Vq1YwdUqWlqiqzZ89mxYoVbNiwoVSXib5z5w7du3enSpUq/PXXXzg6OpbatYXIi7QMlILQ0FD69euHhYUFPj4+Bk0EQNc68OGHH/LPP//w22+/GfTcwjC+/vprDhw4wC+//CKJgJEtXLiQZcuWsXLlylJNBABq166Nj48P9+7d4/HHHy/RZcyFKAmSDBRRREQEAwYMIDU1lQMHDpRYmeCuXbsybNgw3n777SyLHwnj8/f3Z+HChbzyyiv079/f2OFUap988gmffvopX331FdOnTzdKDE2aNGHfvn1cunSJUaNGkZKSYpQ4hCgKSQaKICYmBk9PTyIiIjhw4ECJ153/4IMPCAgIYNWqVSV6HVFwSUlJPPXUUzRt2pSPPvrI2OFUaj/++CMLFy5k0aJFzJs3z6ixtG/fnp07d3LkyBEmTZpERkaGUeMRoqAkGSikhIQEhgwZQkBAAPv376dJkyYlfs3WrVszYcIE3nvvPZKSkkr8eiJ/r732GgEBAaxbtw4LCwtjh1NprVu3jueff56XXnqJRYsWGTscAHr37s2GDRvYunUrs2bNKpHVS4UwNKlAWAjJycmMHDkSf39/Dhw4UKrzit99912aNWvG0qVLefXVV0vtupVBeno6wcHBhIWFER4eTlpaGhqNBgcHB5ydnaldu3aWGSK7d+/mu+++49tvv6VFixZGjLxy8/b2ZsqUKUyZMoWvvvqqTE2/HT58OD///DNTpkzB0dGRTz/91NghCZEnmU1QQGlpaTzxxBPs27ePPXv20KdPn1KPYdasWWzcuJFbt25V2v8PhhQTE8OJEyc4ffq0vvjTw+WiFUVBq9WiKApNmzalS5cuWFpa0qpVKzp27Ii3t3eZugFVJpmVPgcPHsyGDRswNS2b32u++eYb5s2bx6effsprr71m7HBEJVTQ+3fZfAeVMRkZGUybNo3du3ezbds2oyQCAP/3f//HL7/8wpdffsk777xjlBgqAlVVOXXqFPv37ycjI0N/888sCf3wfpn/vXr1KpcvXyY8PBwzMzNWrVoliYCRnDp1imHDhtGjRw/Wr19fZhMBgLlz5xIVFcXrr79O1apVefbZZ40dkhA5KrvvojIic+7yb7/9xu+//87jjz9utFhcXV2ZM2cOX3zxBS+88AI1atQwWizlVVpaGhs3buT69euFOi5zEZtq1arx/PPPS80HI7l06RKDBg2iZcuWbN26tVyM13jnnXeIiopi1qxZVK1albFjxxo7JCGykU+0PKiqyquvvsqKFStYtWpVmXgTv/766yiKwieffGLsUMqd9PR01q9fz40bN4p8Do1GQ3p6Oj///DORkZEGjE7k59atWwwYMAAXFxd2796Nra2tsUMqEEVR+Oabbxg/fjxPPfUUPj4+xg5JiGwkGcjDu+++y5dffsl3333H1KlTjR0OANWrV2f+/PksXbqU4OBgY4dTrhw8eJDAwMBij+5WVZXk5GTWr19Penq6gaITeQkLC6N///5YW1uzf/9+qlatauyQCkWj0bB69WoGDhzIqFGj+Pvvv40dkhBZyADCXHzxxRe8+uqrfPzxx/zvf/8zdjhZxMXF0aBBA0aNGsXy5cuNHU65cOfOnXzrNKSnp/PHH3/g7+9PcnIytWrVom/fvjRs2DDXY3r06EG/fv0MHa54SFRUFL179+bBgwccPXq0xOt6lKTExEQ8PT25ePEif/31Fy1btjR2SKKCk3LExbBs2TJeffVV3njjjTKXCADY2dmxcOFCVq1aVei+78pq3759+Q7427ZtG8ePH6d169YMGjQIRVFYu3YtQUFBuR5z7Ngx4uLiDB2u+FdcXByDBw/m7t27+Pj4lOtEAMDa2pqdO3dSp04dBg4cyK1bt4wdkhCAJAPZeHl5MXv2bF566SU++OADY4eTq+effx5nZ+cyU2ilLLt79y4hISF5dg8EBwdz4cIF+vXrx8CBA+nYsSNTp07F3t4+3z7eM2fOGDpkwX91PS5fvszevXtp1qyZsUMyCAcHB/0y5wMGDODu3bvGDkkISQYetnXrVqZNm8a0adPKXBGTR1laWvL222+zfv16/P39jR1Omebv75/v6P9Lly6hKAodOnTQbzMzM6N9+/YEBwcTExOT43GqqkoyUALS09MZP348vr6+eHt7Z/n/UhHUqlULHx8fkpOT8fT0JDo62tghiUpOkoF/7d+/n/HjxzNmzBhWrFhRLqaOTZs2jUaNGvHWW28ZO5Qy7c6dO/qpgbm5e/cu1apVw9LSMst2V1dX/fO5iY2NJTExsfiBCkA3jXPGjBns2rWLzZs306tXL2OHVCLq1avH/v37CQ4OZujQofI3JIyq7N/xSsGRI0cYOXIkAwYMYM2aNZiYmBg7pAIxMzPj/fffx9vbG19fX2OHUyZptdoCNcPGxcVhZ2eXbXvm9LX8xgWEhYUVLUCRhaqqzJ07Fy8vL7y8vIxa16M0NG/enD179nDu3DnGjh1LamqqsUMSlVSlTwZOnTrFkCFD6NKlCxs3bsTc3NzYIRXKk08+SevWrXnjjTdkQZQcpKWlFWjluPT09ByTwMzqdvktH52QkFC0AEUWixYt4rvvvuPHH39k3Lhxxg6nVHTq1Int27dz8OBBpk6dKisdCqMo9xUItVotgYGBhISEEBYWRnx8PAA2NjY4OTnh6upK/fr1c/ygv3DhAp6enrRo0YIdO3ZgZWVV2uEXm0aj4cMPP2TYsGH4+PgwcOBAY4dULpmamub4IZxZR8DMzCzP4yURK74vvviC999/n88++4yZM2caO5xS1a9fP9avX88TTzxB1apVWbp0aZkesyQqnnKbDKSkpODn58fJkyeJj4/Xv3EeXmTm6tWrqKqKlZUVHTt2pEuXLlhbWwNw/fp1BgwYQJ06dcpVNbOcDBkyhG7duvHGG28wYMAA+RB5iJmZGRqNJt8xA3Z2dsTGxmbbnplc5tSF8LDymEiWJT/99BOvvvoqCxcuZMGCBcYOxyhGjx7NihUrePrpp3F0dCzTs5lExVMuk4GAgAC2bdtGfHx8lsVkHvbwz0lJSRw9elS/wImNjQ39+/fH3t6effv2lbtqZo9SFIWPPvqIPn36sGXLFsaMGWPskMoMjUZDjRo1uHfvXp77OTk5cevWLZKTk7MMIsys8ujk5JTn8U8//TTt27ena9eudO3alTp16khSVkAbN25k5syZzJ49mw8//NDY4RjVjBkziIqKYsGCBVSrVo2XX37Z2CGJSqLcJQNHjx7l4MGDWZaaLQhVVUlKSmLDhg1cunQJjUbDgQMHqFmzZglGW3p69+6Np6cnb731FiNHjiw3gyBLg5ubG/fv38/z76V58+b4+vpy+vRpunfvDui6CM6dO4erqyv29va5HqsoCvXq1WPXrl0sWbIEAGdnZ31i0LVrVzp06JBtpoKAvXv3MnHiRMaPH893330nCRTw6quvEhkZySuvvELVqlWZNm2asUMSlUC5Kkd87NgxDhw4YJBzNWvWjCeffNIg5yorTp8+TceOHfn555/lAwQIDw/nl19+Ydu2bQwYMCDf/Tds2MCVK1fo0qULjo6O+Pv7ExISwpQpU3KtfKcoCl26dNGP1bh//z5///03x48f5/jx45w8eZLExETMzMxo165dlgShdu3aFebml7leQ3p6OqamplhaWub72o4ePcrAgQPp378/mzdvzndcRmWiqiqzZs1i5cqVbN68mZEjRxo7JFFOFfT+XW6SgaCgIFavXm3Qc44bN46mTZsa9JzGNnbsWE6dOsXVq1fLxfKuhqbVavnjjz9Yvnw5W7duRVEUxo4dS5s2bUhKSsrz2LS0NP744w/Onz9PUlKSfm2CRo0a5Xnciy++iKOjY47Ppaenc/78eX1ycPz4cQICAgBwcXHJkhy0b9++XLUeJCQkcO7cOQICAggJCSElJUX/nKWlJS4uLjRq1Ig2bdrox+pkOnv2LH369KF9+/bs3r1bxlzkICMjg6eeeopt27axd+9eHnvsMWOHJMqhCpUMpKam8v333xMbG5tjU29ISAjnzp0jMDCQ6OhorKyscHNzo2/fvlSvXj3X81pZWTFnzpxsH1Tl2eXLl2nZsiXffPMNc+bMMXY4pebevXusXr2aFStWcPPmTZo2bcrMmTOZPHky1atX5+rVq/z2228GvaaiKLRt25bhw4cXOtZHWw+SkpIwNzfPsfWgrElKSsLHxwd/f39UVc2z+0VRFDQaDe3ataNfv35YWlpy9epVevbsSb169Th48GC+gzMrs9TUVIYNG4avry9//PEHHTt2NHZIopypUMmAn58fe/fuzfX533//nTt37tC8eXNq1apFfHw8J06cIDU1lWeeeYZatWrleJyiKPTo0YO+ffuWVOhGMX36dPbs2cPNmzexsbExdjglRqvVcvDgQZYvX862bdswMTHhySefZObMmXTv3j1bM/WWLVu4cOGCQaYBKoqCjY0NL7zwQrG/zaelpWVrPchcwMbV1TVb64ExW3yuXbvG9u3bSUpKKtTvUVEUrK2t6d69O+PGjcPOzo6//vqLatWqlWC0FUNCQgIDBgzg2rVrHDlypMKs0SBKR4VJBlRV5dtvv+XBgwe57nP79m1cXFz0BWIAIiMj+f7772nevHmeo+utrKyYP39+hRpwFxgYSOPGjXn33XdZuHChscMxuLCwMH7++WdWrlzJrVu3aNGiBTNnzmTSpEm5NteDbuGbn3/+mfDw8GIlBIqiYGJiwtSpU3FzcyvyefJy9+7dbK0HycnJmJubZ5m10LVr1xKL4VFnzpxh586dRT5eURS0Wi1Hjx7ll19+0Zd6FvnLXMY5OjqaY8eOUadOnbwPSL4PSXcBLZg5gE1dqCDjU0ThVJhkIDQ0lBUrVhTp2GXLlgHw3HPP5bnfxIkT8+0XLm9eeukl1qxZQ0BAQLmfOgm6/lMfHx+WL1/Ojh07MDc3Z9y4cTz77LN07dq1wAPxEhMTWbNmDffu3StSQqDRaDAxMWHixInUrVu30McXVVpaGv7+/llaDwIDAwHdbImHk4N27doZvPXg8uXLbNiwodjnUVUVRVF46qmncHd3N0BklUdYWBjdu3fHzMyMI0eOZJ0JpWohbB/cXAXhRyD5kam0prbg2AHqTYR6T4FpxW0xFFlVmGTg1KlT7Nq1q9DHqarKl19+Sc2aNZk8eXKu+ymKQp8+fSrcYij37t2jQYMGzJ07l48++sjY4RRZSEgIq1at4qeffiIoKIhWrVrx3HPPMXHiRBwcHIp0zrS0NP788098fX0LPEU1c7+6desycuTIIl/bkMLCwrK0Hpw6dYrk5GQsLCyytR4U51t4fHw83333HSkpKaSkpODr60twcDAhISEkJyczYsQI2rVrl+24zKJgDx48wNramhYtWtC3b1/Mzc0r5Hid0nDz5k169OiBs7Mzf/zxh27Ka/BOODUHEm+DYgJqbuWMFUDVJQYt3oBmC0BT7maXi0KqMMnAzp07OXfuXL4V5B7l7+/P1q1bGT58OO3bt891P0VRaNKkSYWsg/7mm2/y9ddfc/PmzXyL5pQlGRkZ7N27l+XLl+Pt7Y2lpSXjx49n5syZdOrUyWDT8UJDQzl27BiXL19GVdVslQof/tnZ2ZkuXbrQqlWrMjsdMDU1NVvrQVBQEAC1a9fO1npQ0HU4MqdcqqrKgwcP+Oabb7C3t6dq1aoEBgbmmAz4+Phw7NgxmjdvTv369QkPD+fUqVPUr1+fyZMnoygKrVq1YtSoUQb/PVR0//zzD7169aJT+xbseqcOpnfWo1tmpjCfkQpUbQvdf4cq0kJTkVWYZGDjxo1cunSpUMeEh4ezcuVKatSowYwZM/Jdjrh27drMmDGjOGGWSQ8ePKBBgwZMnjxZXwynLLtz546+FeDOnTu0bduW5557jqeeeqpE/+7i4+O5ceMGYWFh3Lt3j9TUVExMTHB0dMTZ2Zl69eqVq2TqYaGhodlaD1JSUrCwsKBDhw5ZEgQXF5dsx0dFRfHtt9/qf05PTycpKQk7OztCQkJYsWJFtmQgLi6Or776ipYtWzJ69Gj9dj8/P/bs2cOECRNo0qQJiqIwb948o9YuKa/+PuqDyZ+etK+nYlLU5eYUEzCrAv0Pg0MrQ4YnypCC3r8rXBtRXFwc69atw8LCgieffDLfRAAos9/0iqtq1aq89tprLFq0iFdeeSXXwjnGlJ6ezu7du1m+fDl79uzBysqKp556ipkzZ9KhQ4dS+X9ja2tL27Ztadu2bYlfq7S5uLgwevRo/U05NTWVs2fP6pODjRs38sUXXwBQp06dLMlB27ZtOXXqVJauFFNT03ynAt65cwetVkvLli2zbG/ZsiV79uzhwoULNGnSBNAVypL584WkaumS8jFqAwWFYsyMUTMgLRYO9oXHz4OVs+FiFOVOmV/C2NraukA3dNCNFl+7di3JyclMmjSpQN84VFUlMjKSy5cvV8ilQ1966SUcHR159913sz6RkQoxlyDyJESdhdTcZ2uUhKCgIN5++23q1q3LiBEjuHfvHj/++CNhYWEsX76cjh07VtgkzZjMzc3p3Lkz8+bN4/fffycoKIjg4GA2bdrEE088wZ07d3j99dfp3Lkz9vb2HDhwoNADLTPfR49WFMz8OTQ0FNC9965evWqAV1XJXPsO7v1BQrKWRZtg0KfgOBOUibD6cM6HbPgburwNDs9Cteeg9/uw6yy6hCA1GvyeBVl5s1Ir8y0Dzs7OBRovkJaWxrp164iMjGTKlCkFXnNAVVW2b9/OggULsLa2pnXr1rRr14727dvTrl07WrZsWa4r+dnY2PDWW28xd+5c3nh5Gu7Kn3BnK8RcBDU9687WtaFWP2g0E6p3MfhUpLS0NLy9vVmxYgV79+7F1taWiRMn8uyzz+Y5rkOULFdXV8aMGaOfgpuSksK5c+fw9fUlJiam0OfLrB1w+/Zt6tevr99++/ZtQNd6lyk8PJyMjIwKNbW3RCUGw9nXAIiIg/e2Qp1q0KYO/Hk550O+3Qcv/QpD2sInvSA5DVb/BUM/h83zYLRHOoTugjuboM4TpfZSRNlS5pOBgsyh1mq1bNq0ieDgYMaPH1+oqm0ajYalS5cSGRnJmTNnOHv2LIcPH2bZsmVotVpMTU1p3ry5Pjlo164dbdu2LVdV02ZOe4Kat/5Hw3/6gEajm4aUk8Q7EOgFt1brBhd1WgHVil/x7NatW6xcuZJVq1Zx9+5dOnXqxIoVKxg3bly5Xjq6orKwsKBz587UqVOH5cuXF/p4FxcXXF1dOXbsGFWqVKFevXpERETg7e2NRqMhLS1Nv69WqyUqKooaNWoY8iVUXNd/0Cfxzg4QthScHOBUAHj8X86HfLsfPBrAzlf/y+9n9AbXF+GXv2C0B4AGLn0myUAlVuaTgRo1alCzZk3u37+f6z779u3j6tWrNG7cmKSkJPz9/bM836ZNm1yPtbOzo2XLlmg0mix9l4mJiZw/f56zZ8/qH+vWrSM1NRUAd3d3fXKQ+SiTKyCG+WDuO5Gx7ZPQKOSeCGTKbC2I/gf2dYaWb0Krd0ApXI9SWloaO3bsYPny5fj4+GBnZ8fkyZN59tln8/z/IcqOh2/ahTVu3Dg2btzI9u3bAd24nK5duxIUFERERITBrlOpaNPg+o/6qYMWZrpEID+xSdDYKWtDXxVrsLUEK/2EEi1EnYKoM+AorXSVUZlPBhRFoXPnznlWPrt79y6gK5V67dq1bM/ndvNRFAUPD48cxyRYW1vTpUsXunTpot+WlpbG5cuX9cnBmTNn2LNnj77Z09XVVZ8YZLYkGHVd+9ub4dg4UFU0SuGmZurnKl94H+IDocvPoMm/KffGjRusXLmS1atXc+/ePbp27cqqVat44oknKnRp5IqoOE33VapU4emnnyYyMpL4+HgcHR2xs7Pj888/z1aCWLoICij6PKRGFfqwPs1g0wldd8Gw9rpugm/3QUwizB300I6KCdw9IMlAJVXmkwHQ3cyPHz9OZGRkjoOZpk+fXuhzKoqCra0tnTp1KvAxZmZmtG7dmtatWzN16lRA18wZEBCgTw7Onj3LsmXL9C0Zjo6OtG3bNks3Q+PGjUv+A/D+ETg2/t+WgGIODAr0Assa0P6LHJ9OTU1l27ZtLF++nIMHD+Lg4KBvBWjVSqYslVeGKKxUrVo1/c3//v37xMfHZ5u1URYKOJULUafRFw4qhCVTdOMLXvpV9wCobgcH34CuD5cYUIHIUwYKVpQ35SIZMDExYfTo0UUuS5wTVVUZNWpUsQcHajQaGjVqRKNGjXjiiSf05w4LC9MnB2fPnmXjxo18/vnngK7VoU2bNlm6GAw6UDEtHnwn/js6OOcPjut34f82wtGrEJWgG4T0VDd4dQhYZwtDhStfguswqNVHv/XatWv6VoDw8HB69OjBr7/+ytixY2VJ2grAxsYGW1tb4uPji30urVaLj48PZmZmWVbeq1q1arkeoFuqYq6AYgpq4bpVrC2giTO4OcLQdhCXDF/tgdFfw5H/g0b6EhoZEHPB0FGLcqJcJAOgm1UwdOjQYi2U8rB+/fplGelsSIqi4OLigouLC0OHDtVvj4qK4ty5c/pWhD/++IMff/xRP1CxRYsWWboY2rRpU7SBihfehcQQcqtIdicSOv0f2FvDnIHgaAvHr8OizXD6Fmyfn9NRJnB8KimeF9mybSfLly/nzz//xNHRkalTp/LMM8/QvHnzwscqyrQGDRpw4cKFLDN6/Pz8SE5O1nePXbt2jdjYWAA6d+6MpaUle/bsIT09HScnJzIyMvjnn38ICQlh1KhR+pYAjUZTYu/BCkmbXKTDnvgGTE10AwgzjegA7vPhzQ3w+0sP7ZyRVLwYRblVbpIBQD/9zNvbG6DQ858zi6f079+f7t27Gzy+/Dg6OtK3b98sSyZnDlR8uBUhc6Cioig0atQoSxdDu3bt8h55nRYP174nr9Kka45CdCIcXQQt/p2sMbMvaFX49Qg8SICq2br3MyDxNjOHOPPrH/H07t2btWvXMnr06GIv4SvKro4dO3L+/Pks2x6dcnj58mUuX9bNa2vdujWWlpY4OTnx999/c/78eRRFwdXVlalTp2a5+Wu12iytBCIfmsK3oATch73nYfnTWbc72kKPxnDs0SFWRbiGqBjKVTIAuoTA2dmZLVu2ZBuVnJ8qVaowatSoUl1tLj+5DVS8dOlSlpkMu3bt0jfXurm5ZUkO2rdvT+3atXUDFYPW5Zvdx/77dC37rNudHUCjgHkuwxnSM+D/xlXljR9O6SvIiYrNzc0NJyenLKs8vvzyy/kel/m3mZvMBMHZWareFViVxtlrg+Tj3r85W0YO3w3SMiD94e2KCdhL615lVe6SAdB1GcyaNQt/f3/8/Pz0g/U0Go3+Aytz7XTQfSPv1KkT7du3z1YVrSwyMzOjTZs2tGnThmnTpgG6b1E3b97MMpPhhx9+IDw8HNC9xnbt2vHlqDu0rJp3ack+zeDTnfD0cnh3DFSzA99r8MMBeMkTbHL5om9qAo2qhEGjegZ9vaLsUhSF4cOHG3S8zsPnFYVQtQOFHTzYqJYuwf/9b3iu33/TC4Mj4chVXetAFtU8DBKqKH/KZTIAukGFmc3n4eHhhISEEBoaSlJSEqqqYmVlhZOTE66urjg5OZX70rYajQZ3d3fc3d158sknAV03SWhoaJaZDNU1N9Hk84ExqA28PxY+2gE7zvy3/c0R8MGT+QSipusGGTl2KOYrEuWFs7MzvXr14vDhXGrdFkHfvn2l0FBhVW0DZvaQ9l8XzXf7IToBQqN1P+88C8H/zj580RNqVNEVGFr5J/T7SFdgKC4Jvj8ASamw8OF8TM3QVSAVlVKZX7VQFEJGKvxesD4/r6PgdQzGeOhaBnadhZ//0k1DmjMwn4O7rYV6TxU/XlFuqKrKzp07OXv2bLHP5eHhweDBg8t9gm4UZ1/Tzez5tw5IvbkQlEtv6a2voV4NXffejwfhpz/hxj3dcx4N4P9GwmMtMvfWgENLGHzO4GXIhXFV2lULKzVtaoF2++04zPwJrn0Obv/WfxntoRtA+PpvMKGrLkHIVUbRRjWL8ktRFIYNG4aNjQ1Hjx7NspJhQY8H6N27N7169ZJEoKjcZ8OVrwFdMhD4Tf6HmJroEvy8k3wtNFsgiUAlVuZXLRSFoDHPfx/gex9oV/e/RCDT8PaQmAJng/K7jow4rowURaFfv37MmDGDqlWr6rfldwzoig8988wz9O7dWxKB4rCtD23eR1d8yEAUU133QL2JhjunKHekZaAiMTEHK1dICslzt3uxUNU6+/a0fysQp+e3knMVmUlQmdWuXZs5c+Zw48YNTp48ya1bt0hPzz7K3czMjAYNGuDh4UGDBg0kCTCUpvMheDtEnvivbHhRKSZgagtdVkmrQCUnyUBFU70z3NlGXnUGGjvB/n/gWhg0fmhm1/rjupHHrevkcX7FFBykxHBlpyiKfkBrRkYG9evX54UXXmDo0KGYmprqyxBLAlACNKbQ2xsO9oGYS0VPCBQTMLGGvj5gk9ebXlQGkgxUNE4D4M7WPHdZMAT2+EPP93T9iNVswfusbtszfcClai4HKiZQozuYSDeB+E9ERAR37tyhcePGtGjRIv8DRPFZOEL/I3B8CoTsoPBrFihg2xB6bpLkXgAyZqDiqTcRTPKuCNirGfi+Ax3q66YYzVsDN+/Dh0/CDzPyOFDNgMZzDBquKP8CAgIAXeliUYrM7aHXNui2Dix0A4DS812cVNGNLWr+P3j8vCQCQk9aBioaM7uHRhzn/snQqSHsfq0wJ9aAtSu4jShmgKKikWTAiBQF6k1A6zqKF0a68uLj1jSvEQPpcY/sZ6a78debCA2m6VoWhHiIJAMVUat34fYGSAwlr4SgcLTQZTVoyn4FR1G6bt68SY0aNYq2qJYwiL+O/c2Pu6OY/OZO6NoVEm5B0l1da565A1RpKu9dkSdJBioiM1vougYO9Qe18OufP0pFQWn8Ijj1zX9nUekEBATQsGFDY4dRqXl5eVG/fn26du2qay2wbaB7CFFAMmagoqrVR1cpEIXizEnWqnA8tA7atp8bKjJRwdy8eVO6CIwoOTmZTZs2MXHiRJm9IYpMkoGKrO446LMLzB11MwEKQzEBFK6ajKTX60H87403SyREUf5Jy4Bx7dq1i5iYGCZOlKJBougkGajoXAbBsKtQ9ylAyT8pUP7tOarSDAYep9n4rXz51TcsXryYr7/+uqSjFeVMUlISoaGh0jJgRF5eXnTs2JGmTZsaOxRRjsmYgcrAohp0+xXafAg3lkPwFoi9mr1YiZUL1HoMGs3S1RP4t8nxpZdeIiQkhJdffhlnZ2fGjRtnhBchyqJbt24BMpPAWKKioti9ezeffvqpsUMR5ZwkA5WJTW1dXfM27+sWG4q9BukJulHGNvXAsnquh3788ceEhYUxZcoUatasyWOPPVZ6cYsyK3NaoXQTGMemTZtIT09n/Pjxxg5FlHOSDFRWJpZQtXWBd9doNPz000/cu3ePkSNH8tdff9GmTZsSDFCUBzdv3sTCwgJnZ+f8dxYG5+XlxYABA3BycjJ2KKKckzEDosDMzMzYtGkT7u7uDB48mKCg/JY3FBVdQEAADRo0QKORj5LSFhQUxJEjR2TgoDAIeQeLQrGzs2PXrl1YWVkxaNAgIiMjjR2SMCKZVmg869atw9ramlGjRhk7FFEBSDIgCq1WrVrs3buXiIgIhg0bRmJiorFDEkYi0wqNQ1VVvLy8GDFiBLa2tsYOR1QAkgyIInF3d2fXrl34+/szYcKEHNezFxWbVqvl1q1b0jJgBP7+/ly6dIlJkyYZOxRRQUgyIIqsU6dObNq0iV27dvHCCy+gqsUreyzKl7CwMJKTkyUZMAIvLy9q1KjBgAEDjB2KqCAkGRDFMnjwYFauXMny5ct5//33jR2OKEUyrdA4MjIyWL9+PePGjcPMTBYfEoYhUwtFsU2bNo3Q0FDefPNNXFxceOaZZ4wdkigFN2/eBKB+/fpGjqRy+fPPPwkNDZUuAmFQkgwIg1i4cCEhISHMmjULJycnhg4dauyQRAkLCAjAxcUFKysrY4dSqXh5edGoUSM6depk7FBEBSLdBMIgFEVhyZIljBgxgieffJK///7b2CGJEpZZY0CUnqSkJDZv3iwrFAqDk2RAGIyJiQleXl506NCBoUOHcvXqVWOHJErQzZs3ZbxAKdu5cydxcXFSaEgYnCQDwqCsrKzYsWMHtWrVwtPTk7CwMGOHJEqItAyUPi8vLzp37oy7u7uxQxEVjCQDwuCqVq3K3r17SU9PZ/DgwcTGxho7JGFgcXFx3L9/X5KBUhQREcGePXukVUCUCEkGRImoXbs2e/fuJSgoiNGjR5OammrskIQBZS5dLN0EpWfjxo2oqipLiIsSIcmAKDEtW7Zk+/btHD16lGnTpqHVao0dkjCQzGmF0jJQery8vPD09KRmzZrGDkVUQJIMiBLVq1cv1q5dy2+//cZrr71m7HCEgQQEBGBjYyM3plISEBCAr6+vdBGIEiPJgChxY8aMYcmSJXzxxRd8+eWXxg5HGEDm4EGZ3lY61q1bh42NDSNGjDB2KKKCkqJDolTMmTOHkJAQ5s+fj7OzMxMmTDB2SKIYZFph6clcoXDUqFHY2NgYOxxRQUnLgCg1H330EVOmTGHq1KkcPHjQ2OGIYpBphaXnzJkzXL16VcoPixIlyYAoNYqisHLlSvr27cuoUaM4d+6csUMSRZCRkUFgYKAkA6XEy8uLWrVq0a9fP2OHIiowSQZEqTIzM2PTpk00adKEwYMHExgYaOyQRCEFBweTlpYm3QSlID09nfXr1zN+/HhMTaVXV5QcSQZEqbO1tWXXrl3Y2NgwaNAgIiIijB2SKITMpYulZaDkHTp0iHv37kkXgShxkgwIo6hZsyb79u0jKiqKYcOGkZiYaOyQRAHdvHkTRVGoV6+esUOp8Ly8vGjSpAkdOnQwdiiigpNkQBhNw4YN2b17N//88w/jxo0jPT3d2CGJAggICKB27dqYm5sbO5QKLSEhga1bt8oKhaJUSDIgjKpjx45s2rSJvXv3Mnv2bFRVNXZIIh8yrbB07Nixg/j4eCk0JEqFJAPC6AYNGsTKlStZuXIl7777rrHDEbnRpkNGKgEBN2W8QCnw8vKiW7du8rsWpUKGp4oyYerUqYSFhbFw4UJcXFyYOXOmsUMS8QEQ8AtE+ELkSUiLAeDoHIjU3oVTL0KdJ6FGD5BmbIMKDw9n3759LFmyxNihiEpCkgFRZrz++uuEhIQwe/ZsnJycGD58uLFDqpyiL8LZVyFsHygaULXAf903FmbgQghc/xGufQdVmkGbD6H2KOPFXMH8/vvvKIrCk08+aexQRCWhqAXopI2NjcXe3p6YmBiqVKlSGnGJSiojI4Px48fj7e3NwYMH6datm7FDqjxULVz6DM7/H6CCmlHAAxXd/nXGgcf3YOFYgkFWDl26dKFGjRrs3LnT2KGIcq6g929pGRBliomJCWvWrMHT05Nhw4Zx7NgxmjZtmm2/yMhIbt++TWhoKNHR0WRkZGBubk7NmjVxdnamfv36WFpaGuEVlFPadDg+FYLWFeHgf79P3NkED85C/8Ng5WTQ8CqTGzdu4Ofnx2+//WbsUEQlIsmAKHMsLS3Ztm0bPXv2xNPTk+PHj+Pi4oKqqly5cgU/Pz+CgoIA0Gg0aLVa/bHXr19Hq9ViYmJCmzZt6Nq1K9WrVzfWSyk/Ts6GoPXFO4eaoRtncLAvePqBmZ1hYqtk1q5di52dHcOGDTN2KKISkW4CUWYFBwfTtWtXHB0d2b17N3/88Ye+4E1BpiBqNLrJMn369KF79+76n8Uj7myBI2NyfOrPS/DYhzkfdvwd6OKewxOKBhrOhE4/GCzEykJVVRo3bkz37t1ZvXq1scMRFYB0E4hyz83Njb179zJ27Fh+/PFHzMzMAApciyCzxeDQoUPcuHGDp556CgsLixKLt1xKfQB+z6Lv98/FS57g8cgMt0a59QSoWrjxI9QdD7V6GyrSiic9EdLiQDEBcwfQmHLy5Elu3LjBDz9IIiVKlyQDokyrWrUqTz31FOnp6cUqSHTnzh28vLyYMmWKPqkQwM2fITWavBIBgJ5NYGznQpxXMYGLH0ky8DBtOoR4w+2NEHEcEm7995zGHBxakXAxg8faVeexxx4zXpyiUpJ2U1FmpaSk8Ntvv6GqarGb+FVVJSQkhP379xsougpA1cK1bwFtvrsCxCVBekEnGKgZcHc/xN0ocngVhqrCjeWwrTYcGQW3f8+aCABoUyHqND1qnuPQqxGYHOwNUWeME6+olKRlQJRZPj4+xMfHExwczLlz5wgMDCQ6OhorKyvc3Nzo27dvtsGB4eHh7N27l9u3b2NiYkLjxo3x9PTExsYGVVU5deoUzZs3p379+kZ6VWVI7BVICCzQrtOXQ3wymGh0rQSLn4KO+RbG00DILmg6t7iRll+JweA7Ge7/+d+2PKZsmpn8+4/Iv2GvB7R8E1ouAo1JrscIYQjSMiDKpKioKE6fPo2qqhw9epTLly9Tv359Bg0aRIcOHQgKCmLZsmXcu3dPf0xMTAw///wzUVFR9OvXj27dunHt2jV+/fVX/SJIiqLg4+NjrJdVtkSeyncXc1MY4wHfTIbtr8AHT8A/d6Dne3A2MJ+DFQ1EnTZIqOVS3A3Y2wnCjxb+WDUD0MKFD+DYeNCmGTw8IR4mLQOiTDp16pR+1kDXrl0ZM2YMpqb//bm2bNmS77//nqNHjzJmjG4k/JEjR0hNTWXmzJk4ODgA4Orqypo1azh37hwdO3ZEVVXCwsIIDQ3FxcXFGC+t7Ii5CIoZqLnfaLo11j0yDe8AYztB64Ww8HfY+3oe51fTdXUHKqPkcDjQB1LCdb+HIlPhzmbwmwldfzZUdEJkI8mAKHNUVcXf318/YLBOnTrZ9qlWrRo1a9YkIiJCv+3y5cs0btxYnwiAbpnkatWqcfHiRTp27AjophyeP3++QiQDqqqSkpJCYmIiSUlJJCUl6f/96H8f3Tao2n46V8/AtJDtg42cYEQH2HISMrS6roNc40uLo1KuWnByFiTfzbNL4MwteGcLHL0KyWnQoCbMfAxeGvTonircWg2uQ6FOzlNAhSguSQZEmRMbG0tiYmKe+6iqSnx8PDVr1tQfk5CQkOMN3tXVlevXr+t/1mq1BAcHGzboh2i1WpKTk/O8ERfnuUf/XZhZFtbW1lhZWWFtbU2jkXF0qla0GRq1HSE1HRKSoYp17vvdCAiiW40a1Cjgo3r16uV/tsedrbraDXnYfx6GfQHt6sL/jQJbC7h5H4KjcjtCgRPPglM/3TREIQxMkgFR5ty9ezfffc6fP09cXJx+ClZcXBwAdnbZq97Z2tqSlJREenq6vqshLCyMM2fO6G+ohrhJZ/43OTm5wK9Vo9FkuUFbWVll+be1tTU1atTIti2v/XPbZmFhgfLw6oJXvoIzr5LftMKcBNwHSzOwzaPis4qCZfXmvPzyU4SHh+sfAQEB+n+npKRkO87BwaFASUPmv62srAodf4m6+BG64Vg5z9KITYQpP8KQtrBpLhRsooyqmwIasBqazjNQoEL8R5IBUebk1yoQHh7O7t27cXNzo23btgD6AYImJtlHXWcmAGlpafp/a7VaOnfurD/u0f3zu7na29sX+Cac13NmZmZZb9ClybEj+U0rDI+FGo8ULfMPgh1nYHCbvG9kimJC7bajeWPKGzk+n9m683CikNPD399f/++EhIRs57GxsSlwy0ONGjWwtbUtud951FmIyntg5jpfuBcDHz6p+/0lJIOVeQGTgqtLoMlcWTJaGJwkA6JciYuLY926dVhYWPDkk0/q6w9k3uQzMrL30Wbe8B9tfj527Bi2trbZbtAPD1Ss0Bzbg8YStLm3ZIz7Vnej6uYONavApRBY/gdYW8An4/M5v5oONXrm+rSiKNjZ2WFnZ0eDBvnOUwQgKSkp3+Th2rVrHDt2jPDwcGJiYrKdw8LColDJg4ODQ8GTh9BduoJLeYwVOHABqlhByAMY+RVcCwMbC5jcA76aBJbmuR2p6uoTxN8Eu0YFi0eIAqokn3qiPLG2zrkTOjk5mbVr15KcnMz06dOz1NnO7B7I7C54WHx8fLabvKmpKR4eHsb7Vl4WmNpA/Um6pudcRryP7ABrfeHLPRCbBDXsYHRHWDQ6j3LEmaxr6/q4DcjKyoo6derkOKg0J6mpqURGRuaZPNy5c4czZ84QHh5OZGRktjEYpqamWbolcuqqyHw0CjuGuarmOWjy+j1I18KIL+Hp3vDxON0aEN/uh+hEWD8nnxcVdVqSAWFwkgyIMsfZ2TnbtrS0NNatW0dkZCRTpkzRDxzMVKVKFaytrQkNDc12bEhICE5OWe9cTk5OlTsRyNR4DtxcmevTLw3KaXR7QSjQZJ6u1oARmZub4+zsnOPfVE4yMjKIiorKt/Xh0qVLhIeHExERkaWr6eZXulkBeYlPhsQUmNUPlkzVbRvtoRuQuewQvDcW3HNLtBRT3ZRQIQxMkgFR5tjZ2WFtba0fO6DVatm0aRPBwcGMHz+e2rVr53hc8+bNOXfuHDExMdjb2wMQEBBAZGQkXbp00e+n0Whwc3Mr+RdSHlRtA41fhGtLKWhZ4nwpJlCliS7RKGdMTEz03/ILQlVVoqOj9UmCS9BQIDrPY6z+7QaY0DXr9qe66ZKB49fzSAZQdAscCWFgkgyIMkdRFNq2bcvx48dRVZV9+/Zx9epVGjduTFJSEv7+/ln2b9OmDQA9e/bk4sWLrF69mi5dupCamsqxY8eoWbMm7dq10++v1Wr1xwig7ce6BXQS7xSzQA7oVj9UoKsXmOTa+V1hKIpC1apVqVq1Ko0bN4b7tpAUnecxLg5wMRhq2WfdXvPfnx9kHyOZlabi/15F6ZNkQJRJHTt2xNfXF/hvquG1a9e4du1atn0zb+z29vZMnz6dffv2ceDAAUxMTHB3d8fT01M/XkBRFJydnbN1G1RqpjbQ1wf2d4PUqGIkBIquW6DH7+DYLv/dKyK7RpCUdw2LDvXB54JuAGGTh8pihD7Q/bdG9tmx/1HTwLZggy2FKAxJBkSZVLVqVTw8PDh16hTTp08v8HE1a9Zk8uTJuT6vqioDBw40RIgVi11D8Pwb/hyiW8CosLUHFBNdUtFtHbgOKZEQy4Vq/65FkEdC9WQX+GQn/PQn9G3x3/aVf4CpCfRpnvclUmxbYmGYaIXQk4WKRJnVv39/7OzsDDbQT1EUOnXqRN26dQ1yvgrHtj4MPgct39Ld3JUCrJSn/Pt9wuVxGHqlcicCALX65Nuy0q4ezOitqzcwbgl87wNPLoH1x2HBEHCpmvux0Yng3LQ/48ePZ9OmTTnWXRCiKBS1ALVMY2Njsbe3JyYmJst0LiFK2t27d/n5559JS0srVNndRymKQu3atZk0aVL5L3dbGhJDdLMMbqyApJCc9zG1gTrjoPELupoFArQZsL1u7r+zf6Wlw0fb4ee/dN0DdavDCwNg3uA8DlJMiKwxlR/+rs/mzZs5d+4cVlZWDB48mDFjxjB06FD5fBbZFPT+LcmAKPNCQ0NZs2YNKSkpRU4I6tevz/jx4zE3l8FXhZZ0Vze3PXPhHTMHqNpW1z9u5KmDZdLlL+DsAopS5jlPiikMu6ofM3Dz5k02b97M5s2bOXHiBObm5gwcOJAxY8YwfPhwHB0dDXt9US5JMiAqlPj4eLy9vbl69ap+aeP8KIqCRqOhb9++dOnSRV+tUIgSlZEKe9vrxl7kUYmwcBRo9S60+r8cn719+zZbtmxh06ZN+Pr6YmJiQt++fRkzZgwjR47MVpdDVB6SDIgKR1VVrl+/jp+fHwEBAYCuZoBWq5sfrygKiqKg1WoxMzOjbdu2dOnSRb4hidL34Bzs6wTadIrdQqCYgkNL8DwBmvy7uMLCwti6dSubNm3i8OHDAPTq1YuxY8cyatSoCrF0tyg4SQZEhRYdHc3t27cJDQ0lJiaGjIwMzM3NqVGjBi4uLtStW1e6BIRxBe+EI6P/bR0oYkKgmIBNPRhwDKxqFfrw8PBwtm3bxubNmzl48CAZGRl07dqVsWPHMnr0aBlMWwlIMiCEEMZ29wAcHQdpMUXrMqjRA3puBsviN/M/ePCAHTt2sHnzZvbt20dqaioeHh6MGTOGMWPG0KiRrHdQEUkyIIQQZUFyBJx6EW7/lu+KhmQucWRiCW0/g8bPl8ggzdjYWHbt2sXmzZvZvXs3SUlJtGnTRp8YNG+eT7EDUW5IMiCEEGVJ7FW4/iMEroOU+znsoAH7FuD+HNSfDGal81mbkJDA3r172bRpE97e3sTHx9OsWTPGjBnD2LFjad26ddla1EuboUuQylJMZZgkA0IIUVYl3YUH/nz75QdERD7g3c+W66Zrmua8fHdpSU5OxsfHh02bNrFjxw6io6Np2LAhY8eOZcyYMXTs2LF0EwNVhft/wZ3NEPE3xPwDGcm65yxqQLXOUKO7Lnmydi29uMoRSQaEEKKMmzZtGjdu3ODo0aPGDiWb1NRUDh06xObNm9m2bRsRERHUqVNH35XQtWvXkpuuq6pweyOc/z+Iu6abUZFjZcd/WwhUFWqPgnaLdZU0hV5B798y8VoIIYzE1NSU9PTirhRZMszNzRk0aBArVqwgLCyMgwcPMnToUNavX0+PHj1wc3Njzpw5/PHHH4Z9DcnhulkYx8ZB3HXdtlxLPGv/HYOhheDtsKs5XP9BlxyIQpFkQAghjMTMzIy0tDRjh5EvU1NT+vbty9KlSwkODubIkSOMGzeOHTt20LdvX1xcXJg5cyb79+8v3utJuK2rzxCy898Nhbipq+m6LoSTz+sGbEpCUCiSDAghhJGU5ZaB3JiYmNCjRw+++uorgoKC8PPzY9q0aRw8eBBPT09q1arF9OnT8fb2JiUlpeAnTomCA30gMbj4lRuvLwX/N4p3jkpGkgEhhDASMzOzcpcMPCxzJdDPPvuMGzducPbsWZ5//nn+/vtvhg0bRo0aNZg4cSJbtmwhMTEx75OdegkSbxOflM6iTTDoU3CcCcpEWH04++7TftQ99+ij6av/7nDpE7j3h8Ffc0VlauwAhBCisjI1NS0X3QQFoSgKbdu2pW3btnzwwQdcunSJTZs2sXnzZtatW4e1tTWPP/44Y8aMYciQIdjZ2f13cMguCFoLQEQcvLcV6lSDNnXgz8u5X9PCDFY+k3WbvX5ChgaOT4Gh18DUyqCvtSKSZEAIIYykvLcM5KV58+a8/fbbvP3221y/fp3NmzezadMmJkyYgIWFBZ6envoVFh0uvI+uoVqLswOELQUnBzgVAB45r80EgKkGJvXI7Vmtrssh6DdoON3QL6/CkW4CIYQwkorUMpAXd3d3/ve//3Hq1Clu3brFRx99RHh4OFOnTqV/hxoQ6QfoFhyzMNMlAgWVoYXYXHsgNHBtSTGjrxwkGRBCCCOpyC0DualXrx6vvPIKvr6+BAcH893CAWRoi3auxFSo8gzYP6sbX/DCzxCf/PAeWt0KkomhBoi8YpNuAiGEMJLK0jKQG1dXV1zdTSFE10VQGM4O8NpQaF8PtCrs9YfvD4D/bfjzLTA1eWjnqNNgLUs350WSASGEMJLK2DKQzYNzFDYRAPh4fNafx3eFxs7w5gbYdEL3M6BbHCrmArgNK26kFZp0EwghhJFU9pYBANLjDXaqlweDRoEDFx7eqoG0OINdo6KSZEAIIYykPBYdMjjFcA3UVuZQzQ6iHs0vNGYGu0ZFJcmAEEIYSXkpR1yibOoZ7FRxSbo6BTUeXo9HTQObuga7RkUlyYAQQhiJqakpqqqi1RZxOH1FUL0zKIX75p6cqrvxP+r9rbolCQa1fuQJxw5Fj6+SkAGEQghhJGZmuptgeno65ubmRo7GSGr0hGvfZdn03X6IToDQaN3PO89CcJTu3y96woMEaPcGTOgGTZ112/f9A7vP6RKBEQ/f+02rgH3zkn4V5Z4kA0IIYSSmprqP4LS0tMqbDLiNAPOqkPpAv+nzXRAU8d8uW07qHqCrOOhgDUPbgc8/8MsRXeGhRrXgoyfh1SGgyWzzVkyg0bMyZqAAJBkQQggjebhloNIysQD3F+DiR2ROMQz8Jv/D1jxfgHOrKrjPKlZ4lYWMGRBCCCN5uGWgUmv+Oli7Aib57lpwCrT4H9g1MuA5Ky5JBoQQwkikZeBfZrbQdQ1FKT6UI8UUqjSFlm8b5nyVgCQDQghhJNIy8JBavaHzyuKfRzEFy1rw2D5dF4QoEEkGhBDCSKRl4BENZ0C3dWBiWcRiRIpu5oDn32BT2+DhVWSSDAghhJFIy0AO6k2AIZegRnfdzwVKCjS6/Vq/B4NOgbVbiYZYEclsAiGEMJLMZEBaBh5hWx/6/QHhx+DaUgjeCtqUf59UAPW/fa1codFz0OgZsHI2RrQVgiQDQghhJJndBNIykANFgZo9dA9tOsRehgf+kBarqx9g7aqrLCgJgEFIMiCEEEYiLQMFpDEFh1a6hygRMmZACCGMRAYQirJCkgEhhDASGUAoygpJBoQQwkikZUCUFZIMCCGEkUjLgCgrJBkQQggjkZYBUVZIMiCEEEYiLQOirJBkQAghjERaBkRZIcmAEEIYibQMiLJCkgEhhDASKTokygpJBoQQwkikHLEoKyQZEEIIIzExMQGkZUAYn6xNIIQQpSgtLY0bN24QEhJCWFgYzz33HPfu3WPdunW4uLjg6upKgwYN9ImCEKVBkgEhhCgFcXFxHDt2jLNnz5KamopGo0Gr1eLs7Ex6ejo3btzgxo0bqKqKtbU1Hh4edO3aFQsLC2OHLioBSQaEEKIEqarK+fPn2b17N2lpaaiqCoBWq822X6bExET++usvTp8+zciRI2nYsGGpxiwqHxkzIIQQJUSr1eLt7c22bdtITU3NcsPPj6qqJCQk4OXlxdGjR0swSiEkGRBCiBKhqiq7du3izJkzxToHwMGDBzl27JihQhMiG0kGhBCiBJw/f75YicCjDhw4wO3btw12PiEeJmMGhBDCwOLi4ti9ezcAKSkp+Pr6EhwcTEhICMnJyYwYMYJ27dplOy48PJy9e/dy+/ZtTExMaNy4MZ6entjY2KAoClu3buX555/X1ycQwlCkZUAIIQzM19dXX0goMTGRw4cPExERgZOTU67HxMTE8PPPPxMVFUW/fv3o1q0b165d49dffyU9PR1VVYmOjubcuXOl9CpEZSItA0IIYUBpaWmcOXNG399vZ2fH/PnzsbOzIyQkhBUrVuR43JEjR0hNTWXmzJk4ODgA4Orqypo1azh37hwdO3YE4MSJE3Ts2BFFUUrl9YjKQVoGhBDCgG7cuEFqaqr+Z1NTU+zs7PI97vLlyzRu3FifCAA0bNiQatWqcfHiRf22iIgI7t+/b9CYhZBkQAghDCg0NBSNpnAfrbGxsSQkJODi4pLtOVdXV+7evZvtGkIYkiQDQghhQGFhYdkKCuUnLi4OIMcWBFtbW5KSkvTrF2g0GsLCwoofqBAPkWRACCEMKDExsdDHZN7oc1qPIHOZ48wBiaqqkpycXIwIhchOkgEhhDCyzBt+RkZGtucyE4WHpxPK4EFhaJIMCCGEAdnZ2RX6Zp3ZPZDZXfCw+Ph4rKys9AmDoihYW1sXP1AhHiLJgBBCGFBOgwDzU6VKFaytrXMcGBgSEpKlPoFWqy3SNYTIiyQDQghhQK6uroVakChT8+bNuXbtGjExMfptAQEBREZG0rx582zXEMKQpOiQEEIYUIMGDbCxsSEhIUG/zc/Pj+TkZH03wLVr14iNjQWgc+fOWFpa0rNnTy5evMjq1avp0qULqampHDt2jJo1a+pLFyuKgqurK46OjqX/wkSFJsmAEEIYkEajwcPDg8OHD+tbCHx9fbN84798+TKXL18GoHXr1lhaWmJvb8/06dPZt28fBw4cwMTEBHd3dzw9PfXjBVRVpVOnTqX/okSFp6gFaM+KjY3F3t6emJgYqlSpUhpxCSFEuZWSksJ3331HQkJCkboMcqIoCk5OTjzzzDOFLmokKq+C3r/lL0oIIQzMwsKCkSNHGiwRAF0yMHr0aEkERImQvyohhCgBDRs2pH///gY73+jRo6levbrBzifEw2TMgBBClJDu3bujKAo+Pj4oilLolgJFUfQtAi1atCihKIWQZEAIIUpUt27dcHNzY+vWrURHRxfomMzEwdnZmVGjRkmLgChxMoBQCCFKQVpaGv7+/vj5+REREQHoZh5kfgQriqJf4MjNzY1OnTrRokULGSMgiqWg929pGRBCiFJgZmZGx44d6dChA+Hh4YSGhhIWFkZycrK+xLCzs7PUERBGIcmAEEKUIkVRqFmzJjVr1qRt27bGDkcIQGYTCCGEEJWeJANCCCFEJSfJgBBCCFHJSTIghBBCVHKSDAghhBCVnCQDQgghRCUnyYAQQghRyUkyIIQQQlRykgwIIYQQlZwkA0IIIUQlJ8mAEEIIUclJMiCEEEJUcpIMCCGEEJWcJANCCCFEJSfJgBBCCFHJSTIghBBCVHKSDAghhBCVnGlBdlJVFYDY2NgSDUYIIYQQhpN53868j+emQMlAXFwcALVr1y5mWEIIIYQobXFxcdjb2+f6vKLmly4AWq2W0NBQ7OzsUBTFoAEKIYQQomSoqkpcXBwuLi5oNLmPDChQMiCEEEKIiksGEAohhBCVnCQDQgghRCUnyYAQQghRyUkyIIQQQlRykgwIIYQQlZwkA0IIIUQlJ8mAEEIIUcn9P0T/b8QjNef2AAAAAElFTkSuQmCC", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, @@ -55,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 144, "metadata": {}, "outputs": [ { @@ -63,67 +63,55 @@ "output_type": "stream", "text": [ "Set parameter LazyConstraints to value 1\n", - "Root node: 15\n", - "Gurobi Optimizer version 9.5.1 build v9.5.1rc2 (linux64)\n", - "Thread count: 2 physical cores, 4 logical processors, using up to 4 threads\n", - "Optimize a model with 94 rows, 56 columns and 314 nonzeros\n", - "Model fingerprint: 0x8db39b6a\n", + "Root node: 13\n", + "Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)\n", + "Thread count: 12 physical cores, 24 logical processors, using up to 24 threads\n", + "Optimize a model with 93 rows, 56 columns and 314 nonzeros\n", + "Model fingerprint: 0xaf8b4ca0\n", "Variable types: 0 continuous, 56 integer (56 binary)\n", "Coefficient statistics:\n", " Matrix range [1e+00, 1e+00]\n", " Objective range [3e-01, 4e-01]\n", " Bounds range [1e+00, 1e+00]\n", " RHS range [1e+00, 1e+00]\n", - "A cycle was forbidden!\n", - "Presolve removed 38 rows and 12 columns\n", + "Found heuristic solution: objective 5.0486797\n", + "Presolve removed 38 rows and 10 columns\n", "Presolve time: 0.00s\n", - "Presolved: 56 rows, 44 columns, 167 nonzeros\n", - "Variable types: 0 continuous, 44 integer (44 binary)\n", - "A cycle was forbidden!\n", - "Found heuristic solution: objective 6.9154215\n", - "Found heuristic solution: objective 6.7970578\n", + "Presolved: 55 rows, 46 columns, 154 nonzeros\n", + "Variable types: 0 continuous, 46 integer (46 binary)\n", + "Found heuristic solution: objective 5.0039985\n", "\n", - "Root relaxation: objective 4.758947e+00, 23 iterations, 0.00 seconds (0.00 work units)\n", + "Root relaxation: objective 4.748107e+00, 25 iterations, 0.00 seconds (0.00 work units)\n", "\n", " Nodes | Current Node | Objective Bounds | Work\n", " Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time\n", "\n", - " 0 0 4.75895 0 23 6.79706 4.75895 30.0% - 0s\n", - "A cycle was forbidden!\n", - "H 0 0 4.9889788 4.75895 4.61% - 0s\n", - "A cycle was forbidden!\n", - " 0 0 4.93192 0 16 4.98898 4.93192 1.14% - 0s\n", - "A cycle was forbidden!\n", - "A cycle was forbidden!\n", - "H 0 0 4.9707578 4.93192 0.78% - 0s\n", - " 0 0 4.93369 0 16 4.97076 4.93369 0.75% - 0s\n", - " 0 0 4.93991 0 8 4.97076 4.93991 0.62% - 0s\n", - "H 0 0 4.9532194 4.93991 0.27% - 0s\n", - " 0 0 cutoff 0 4.95322 4.95322 0.00% - 0s\n", + " 0 0 4.77229 0 16 5.00400 4.77229 4.63% - 0s\n", + "H 0 0 4.9835009 4.77229 4.24% - 0s\n", + "H 0 0 4.9659625 4.77229 3.90% - 0s\n", + "H 0 0 4.9474708 4.77229 3.54% - 0s\n", + " 0 0 cutoff 0 4.94747 4.94747 0.00% - 0s\n", "\n", "Cutting planes:\n", - " Gomory: 3\n", - " MIR: 5\n", - " Zero half: 4\n", - " Lazy constraints: 5\n", + " Zero half: 1\n", "\n", - "Explored 1 nodes (39 simplex iterations) in 0.07 seconds (0.00 work units)\n", - "Thread count was 4 (of 4 available processors)\n", + "Explored 1 nodes (27 simplex iterations) in 0.01 seconds (0.00 work units)\n", + "Thread count was 24 (of 24 available processors)\n", "\n", - "Solution count 5: 4.95322 4.97076 4.98898 ... 6.91542\n", + "Solution count 5: 4.94747 4.96596 4.9835 ... 5.04868\n", "\n", "Optimal solution found (tolerance 1.00e-04)\n", - "Best objective 4.953219416027e+00, best bound 4.953219416027e+00, gap 0.0000%\n", + "Best objective 4.947470846667e+00, best bound 4.947470846667e+00, gap 0.0000%\n", "\n", - "User-callback calls 272, time in user-callback 0.01 sec\n", + "User-callback calls 206, time in user-callback 0.00 sec\n", "Done!\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, @@ -157,7 +145,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.10.6" }, "orig_nbformat": 4 }, -- GitLab