{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Approximation d'un minimum vertex cover par relaxation + rounding" ] }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [], "source": [ "import mip\n", "import random\n", "import networkx as nx\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [], "source": [ "def pl(var_type, G):\n", " m = mip.Model()\n", " y = {v: m.add_var(var_type=var_type) for v in G.nodes}\n", " for e in G.edges:\n", " Ve = [y[v] for v in G.nodes if v in e]\n", " m += mip.xsum(Ve) >= 1\n", " m.objective = mip.minimize(mip.xsum(y[v] for v in G.nodes))\n", " m.verbose = 0\n", " m.optimize(max_seconds=300)\n", " node_color = ['black']*len(G.nodes)\n", " for v in G.nodes:\n", " if y[v].x >= .5:\n", " node_color[v] = 'r'\n", " nx.draw_networkx(G, with_labels=False, node_color=node_color)\n", " plt.show()\n", " print(f\"m.objective_value : {m.objective_value}\")\n", " print(f\"nombre de sommets dans la vertex cover : {node_color.count('r')}\")" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 8.0\n", "nombre de sommets dans la vertex cover : 8\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 7.5\n", "nombre de sommets dans la vertex cover : 13\n" ] } ], "source": [ "G = nx.generators.random_graphs.erdos_renyi_graph(15, .2)\n", "pl(mip.BINARY, G)\n", "pl(mip.CONTINUOUS, G)" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 6.0\n", "nombre de sommets dans la vertex cover : 6\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADnCAYAAAC9roUQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA41UlEQVR4nO3dd1zVZf/H8ddhgyC4UHMhiqWi4t4DcoEz0NSyLH+mlpo7bXpXt2XlyMwcd6aWq60pjlRGinujVkouzAXkQAGBc76/P75BmoBnD/g8H4/zuL0533OdDwZvr3N9r6FRFAUhhBDW4WTrAoQQoiSR0BVCCCuS0BVCCCuS0BVCCCuS0BVCCCtyKerJ8uXLKwEBAVYqRQghioeDBw+mKopSoaDnigzdgIAADhw4YJmqhBCimNJoNOcLe06GF4QQwookdIUQwookdIUQwookdIUQwookdIUQwookdIUQwookdIUQwookdIUQwookdIV9yc6GNWugRQuoUAF8fMDfH9q3h7VrITfX1hUKYZIiV6Q5tFu34MgRuHEDXF2hYkUICQEn+XfGLmm18O678PHHoNNBevo/z92+DSkpcPQouLnB1KkwcSJoNDYrVwhjFb/QTUyE2bPh66/VX1BFUX85tVq11zRxIgwdCmXK2LpSkScrC3r1gl27ICOj8OvygnjaNNi3D1atApfi9yMsirfi0+3LyoKoKGjZElasgMxMuHlT7fHevKn2li5fhrfegipVYOVKW1csQO3VRkXBzp1FB+69MjIgOhqGDVP/URXCgRSP0L17Fzp1gk2b1LAtatwvI0O9Zvhw+OQTq5UoCvHllxAfr/6jaYiMDPjuOzV8hXAgxSN0Bw2CY8fUMNVXRoY6Nrhhg+XqEg83YwbcuWPca+/cgQ8+MG89QliY44fu0aOwZYthgZsnMxPGjJGPqLayfz8kJ5vWxoED8Mcf5qlHCCtw/NCdM0cdXjBWSoo6niisb+lSw4cV/k2rhdWrzVOPEFbg2Ld+b91SZylotca3kZEBH32kzgMVZqEoClqtFq1WS25uLrm5uQX+2f/kSUrpdKa9WU4OnC90v2gh7I5jh+7Bg+DublpvSVFgxw6jX67T6QoNFVP/7KjtarVanJyccHFxwcXFBWdn5wL/vPLKFdoY/1/uH8YMLQlhI44dujdumGU8NufmTVo2aWJU2CiKkh8iRQXMvX8uryhE/fUX4devUzo3F41Gw20XF3ZWrMjmmjW55e193/X6tuvq6oqnp6fe1+t7nTF/1vy9cCEjI4MzZ86QlJT0wOPP7GyT/9sB6oo1IRyEY4euq6tZViU5u7ry+eefGxUwToascDt/HsaPV6e2aTT39dDKZWdT49Ilnr58GUJD1SGPOnVM/t6sIT09vcBQTUpKIi0tjZo1a1K7dm1q165Nw4YNiYyMpHbt2tTYsgUmTzZ+9gKoC15kaEg4EI1SRE+xWbNmil0fTLl/Pzz++P1LRo1RuTJcumSemgpz+LBa682b6oKAomg04O0NGzdCu3aWrUtPN27cKDRY09PTqVWrVn6w3vuoUqUKzs7OBTd6+7a6PFvfRREFKVsWrl6VlWnCrmg0moOKojQr6DnH/klt2hS8vEwLXTc3ePZZ89VUkKQktfd686Z+1yuK+j11764ujW3Y0LL1od78SktLKzRY7969e1+Ytm/fnqFDh1K7dm0qV66cP5xgEG9veOYZWLLEqI1ssp2cyB02DC8JXOFAHLunC+rk+LffNv5mirs7nD4N1aqZt657NWwIJ048vIdbkGrV1GEJMwyjKIrCtWvXSEpK4vTp0w8EK0BQUFCBPVZ/f3/jgvVhzp2DRo3UmSiGfC/AHQ8PWvv68t7//kevXr3MX5sQRiqqp+v4oZuaqgaTMTMYnJ3V5cPbtpm9rHwHD0KHDsZ/hPb2Vrc0fPxxvS7X6XRcvny50B6rh4dHgaFau3ZtypYta5lgfZidO6FbN/3/jvKGX3buJP76dYYOHUr79u35+OOP8fPzs2ipQuijeIcuqJPsR482PNjKllXHWqtXt0xdAE8/re4Pa8p81K5d1VV3f9NqtVy8eLHAUP3jjz/w9fUtMFRr1aplv6G0f78avDk56lhvYby9oVQpiI2FunUBuH37NlOnTmXdunUsXryY8PBwKxUtRMGKf+gCzJyp7iCmzzCDszP4+qq/uJYcL83NVUPClBVzgNbZmdeHD+dEcjJJSUmcPXuW8uXLFxqsPj4+ZvoGrCwjQ11dNmOGuiOcs7O68MXZWf27rF0bpkxRdyVzd3/g5TExMQwdOpTOnTsza9YsfH19bfBNCFFSQhfghx9g7Fi4cQPd7dsPrHG+C7h5eKBp00btHVuyhwvq0EfVqiaHbpaLCysmTqR8q1bUrl2bwMBAvLy8zFSkHVIUdQP6M2fUG4qlS8Ojj0L9+g996a1bt5g8eTKbN2/m888/p0uXLpavV4h/KTmhC6AoZGzcyM4+feji5YUmI0OdTuTry3KNhqA5c2gzaJB1arl4UQ0LU6ZEgToXNSEBGjQwT10lwM8//8ywYcOIiIjgo48+ctzev3BIRYWu4294828aDdt1Oj7o2BHNrVvqx9KsLLh6lSvjx/PVL79YrxZfX/XML1NptWCvY7F2qmvXriQmJpKTk0PDhg2JiYmxdUlCAMUxdIGtW7cW+LGyf//+fP/99+Ra63BDb2+oVMn0dtzc1AUcwiC+vr4sWbKE+fPn8+yzzzJ69GhuF3WTTggrKFGhGxgYSI0aNYiPj7dOIRoNTJqkLuAwlru7OjNDFgAYLSIigsTERNLT02nUqBG/WPPTjhD/UuxC9+LFi6SkpNC4ceMCn3/yySf55ptvrFfQkCGmTRcDePFF89RSgpUpU4bly5czZ84cBg4cyLhx48gwdaxdCCMUu9DdunUrjz/+eKEb0fTv358ffvjBekMMfn7q6RSlShn+Wi8veOopeOQRs5dVUvXu3ZvExERSUlIICQlh165dti5JlDDFLnS3bdtW5DShgIAAAgMDiY2NtV5RM2aQFhKCQf0qT091b4lFiyxVVYlVrlw5Vq5cyYwZM4iKimLy5Mlkyp68wkqKVejqdDq2bdtG586di7zO2kMMJ3/7jQanTnG9Wze191rUdpAajdorDg+HrVvV7SuFRURGRnLs2DHOnz9PkyZN2Lt3r61LEiWBoiiFPpo2bao4kiNHjii1a9d+6HXnzp1TypUrp2RnZ1u8puTkZKV69erKV199pX5h/35FGTRIyXFxUTJcXBTF01N9+Pgoiru7ojzxhKIkJCiKTmfx2sQ/vv76a6VixYrK1KlTlaysLFuXIxwccEApJFeL1S3xwmYt/FuNGjUICgoiJiaGbt26WayeGzduEB4ezqhRoxg8eLD6xWbNYNUqxgJ9SpWia9Om6o22cuXU7R/lFASbePLJJ+nYsSMjR46kadOmLFu2jGbNCpzbLoRJitXwgr6hC5YfYsjKyqJv376EhYUxefLkB57feuAAlV9+GUaOhJdeggEDJHBtrGLFivzwww+89tprRERE8Oabb5JtriOFhPhbsVkGnJWVRYUKFUhOTtZrJ63k5GRCQkK4cuUKrmYeN9XpdAwcOBCANWvWPDCT4tq1azz66KOkpaUZdtyPsJrLly8zfPhwLly4wPLlywkJCbF1ScKBlIhlwAkJCQQHB+u9dWG1atV49NFH2b59u1nrUBSF8ePHc+3aNb788ssCQzUhIYHWrVtL4NqxypUr89NPPzFx4kS6du3KO++8Q05Ojq3LEsVAsfmtN2RoIY8lhhhmzpxJTEwMa9euxcPDo8BrEhISaNu2rVnfV5ifRqPh2Wef5fDhw+zZs4eWLVuSmJho67KEgyvRoduvXz/WrVtntnG7FStW8Omnn7Jp06Yie9w7d+6U0HUgVapUITo6mlGjRhEWFsZ7771nvcU1otgpFqGbmppKUlISrVq1Muh1VatWpW7dumwzw3E9W7duZeLEiWzcuJGqVasWel1mZiaJiYm0aNHC5PcU1qPRaPi///s/Dh48SGxsLK1bt+bkyZO2Lks4oGIRujExMXTo0MGoG2LmGGI4dOgQTz/9NN9//z31H7LR9v79+wkODi7em5AXY9WrV8/fq7djx4589NFHaLVaW5clHEixCN2tW7c+dBVaYaKiovjpp5+4a+TpDmfOnKFXr14sXLiQdu3aPfR6GVpwfBqNhhEjRrBv3z42bdpEu3bt+P33321dlnAQDh+6iqIYNZ6bp0qVKgQHB7N161aDX5uSkkL37t15/fXXiYyM1Os1CQkJeoWzsH81a9Zk27ZtDB48mLZt2zJnzhzp9YqHcvjQTUpKIicnh7p/nwxrDGOGGO7cuUPPnj3p378/L730kl6v0el07N69W3q6xYiTkxOjRo1i7969/Pjjj3Tq1ImkpCRblyXsmMOHbl4vV6PRGN1GVFQU69evJysrS6/rc3NzGTBgAPXq1eO///2v3u9z8uRJypYtS8WKFY0tVdipWrVqERcXR1RUFK1atWLevHnoTN1HWRRLxSZ0TVG5cmUaNWrEzz///NBrFUVh5MiRaLVaFi9ebFDYy9BC8ebk5MS4cePYtWsXq1evJiwsjDNnzti6LGFnHDp0c3NziYuLM/om2r2efPJJvv3224de95///IejR4/y7bffGjxbQhZFlAx16tRhx44d9OzZkxYtWrBgwQLp9Yp8Dh26+/fvp3r16mb5uB4ZGcmGDRuKHGJYtGgRK1euJDo6Gm9vb4PfQ2YulBzOzs5MmjSJHTt2sGzZMrp27cr58+dtXZawAw4duuYYWshTqVIlQkJC2LJlS4HPr1u3jrfffpstW7bgb8RuYJcvX+bmzZs89thjppYqHEjdunVJSEigc+fONGvWjP/9738UtcmUKP4cOnQfdjSPoQqbxbBr1y6GDRvGTz/9RK1atYxqOyEhgTZt2sgmNyWQi4sLU6dOJTY2loULFxIeHk5ycrKtyxI24rAJkJ6ezuHDh2nfvr3Z2oyMjCQ6Ovq+87J+++03IiMj+eqrr0za1FqGFkRwcDB79uyhXbt2NGnShKVLl0qvtwRy2NCNj4+nefPmZl1OW7FiRZo2bcrmzZsBuHTpEt27d+eDDz6ge/fuJrUtMxcEgKurK2+88Qbbtm1j7ty59OrVi0uXLtm6LGFFDhu65hzPvVfeEMPNmzcJDw9nxIgRDBkyxKQ2b9++zcmTJ+X4F5GvUaNG7Nu3j6ZNmxISEsKKFSuk11tCSOj+S2RkJJs2baJ37960b9+eqVOnmtzmvn37aNSoUaH764qSyc3NjbfffpvNmzfzwQcf8MQTT3DlyhVblyUszCFD9+LFi1y7do3GjRubve1y5crh4eHB3bt3mTt3rkkr3fLI0IIoSpMmTThw4AD169enUaNGrFmzRnq9xZhDhu62bdsICwvD2dnZ7G1PnjwZHx8fqlatarb25SaaeBh3d3emT5/O+vXreeedd+jfvz/Xrl2zdVnCAhwydC01tDB79mw2b97Mpk2b2LZtGxkZGSa3qdVq2bNnD23atDFDhaK4a9GiBYcOHaJWrVo0bNiQ7777ztYlCTNzuNDV6XRmn58LsHr1aj7++GM2b95M7dq1admyJRs3bjS53ePHj1O5cmUqVKhghipFSeDh4cEHH3zAjz/+yOuvv87AgQNJS0uzdVnCTBwudI8fP07p0qUJCAgwW5vbt29n3LhxbNy4kWrVqgHmO7RShhaEsVq3bs2RI0eoUqUKDRo0YN26dbYuSZiBw4WuuYcWjhw5wqBBg/jmm28IDg7O/3rfvn3ZsmULd+7cMal92eRGmMLT05NZs2bxzTffMGnSJJ555hn++usvW5clTFCiQ/fcuXP07NmTzz77jI4dO973XLly5WjdujXR0dEmvYfMXBDm0K5dO44cOUKZMmVo0KABGzZssHVJwkgOFbpZWVkkJCQQGhpqcltpaWl0796dKVOm0K9fvwKvMXWIITk5mczMTIKCgoxuQ4g8pUqV4pNPPmHlypW8/PLLPP/889y4ccPWZQkDOVTo7tq1i/r16+Pn52dSOxkZGfTq1Ys+ffowZsyYQq/r27cvW7du5fbt20a9T94mN+aY6ytEnk6dOnHs2DE8PT1p0KBB/rJ14RgcKnTNMbSQm5vLoEGDqFWrFu+//36R15YtW5a2bdsa/VFu586dMrQgLMLb25vPPvuMpUuXMmLECF544QVu3bpl67KEHkpU6CqKwqhRo8jKymLJkiV6bbNoyhCD3EQTlta5c2cSExPRaDQ0bNiQbdu22bok8RCaopYbNmvWTDlw4IAVyylcWloagYGBpKSk4ObmZlQb77zzDuvWrSMuLg4fHx+9XnP9+nUCAgK4ePGi3q8BuHXrFo888ghpaWm4u7sbVa8QhtiyZQvDhg2jV69efPjhh0adbiLMQ6PRHFQUpcAdrhymp7t9+3bat29vdOB+/vnnLF++nOjoaIPCs0yZMrRv397gIYY9e/bQpEkTCVxhNd26dSMxMZHMzEwaNmxIXFycrUsSBXCY0DVlaGHDhg28+eabbN68mUqVKhn8emOGGGRoQdiCn58fS5cu5ZNPPuHpp5/m5ZdfNnmuuTAvhwhdRVGMDt09e/YwdOhQ1q1bZ/TUrd69exMTE2PQjQqZnytsqWfPniQmJnL9+nUaNWrEjh07bF2S+JtDhO4ff/xBTk4OdevWNeh1p06dom/fvixdupQWLVoY/f5+fn507NiR9evX63V9bm4ue/fupXXr1ka/pxCmKlu2LF999RUzZ85kwIABTJgw4b6jqIRtOETo5vVyDZnveuXKFbp37857771Hjx49TK7BkCGGo0ePUr16dcqWLWvy+wphqr59+3Ls2DEuX75MSEgIu3fvtnVJJZrDhG7nzp31vv7WrVtERETw/PPPM3ToULPU0KtXL+Li4rh58+ZDr5WhBWFvypcvz+rVq5k+fTpPPPEEr7zyCllZWbYuq0Sy+9DNzc0lNjZW79DNzs4mKiqKFi1a8MYbb5itDl9fXzp16sRPP/300GtlZzFhr/r168exY8c4c+YMTZo0Yd++ffq/WKeDmzfh8mXIyAA53cIodh+6Bw4coFq1anrNOtDpdAwdOpRSpUoxf/58sy+/1WeIQVEUmbkg7Jq/vz/ffvstb731Fr169eK1117j7t27hb/g119hxAjw9gZ/f6hVC0qXhipVYOZMkF3PDGL3oWvIrIWpU6dy9uxZVq9ebZGjfHr16sUvv/xS5CYj58+fR6fTERgYaPb3F8JcNBoNAwcO5OjRo/knVR88ePD+iy5dgrZtoWlT+OILyMyE7Gz1f7Vatcc7bZoavmPGQG6ubb4ZB1NsQnfu3LmsX7+e9evX4+npaZFaSpcuTVhYWJGbSecNLcgmN8IRVKpUiR9//JEpU6YQHh7OtGnTyM7OhtOnISQE9u1TQ7awQM3IgKwsNZS7dYOieswCsPPQTU9P5/Dhw3To0KHI67755htmzpzJ5s2bLT5j4GFDDDK0IByNRqNh8ODBHDlyhAMHDtCtSRNy2rSB1FT9e68ZGbB7Nzz1lIz1PoRdh258fDzNmzfHy8ur0Gvi4uIYPXo00dHR1KhRw+I19ezZk507d3L9+vUCn5edxYSjeuSRR9iwYQML/P1RUlMND8/MTNiyBbZvt0yBxYRdh+7DDqBMTExkwIABrFmzhoYNG1qlJh8fHzp37lzgEMONGzc4d+4cISEhVqlFCHPTZGTw2N69GLfDCXDnjnpzTRTKrkO3qPHcCxcuEBERwdy5cwkLC7NqXYUNMezevZtmzZrh6upq1XqEMJtVq8DU+xHx8XDxonnqKYbsNnT//PNPrly5QuPGjR947q+//qJ79+5MmDCBgQMHWr22Hj16kJCQ8M8BgX9/DJOhBeHwVqxQe6umcHKCjRvNU08x5GLrAgqzbds2wsLCHpj6lZmZSe/evYmIiGD8+PE2qc3b05OpDRqQ3aoV/PmnOpbl7MwkjYa/+vaF5GT4+yh3IRxKSorpbdy9C2lpprdTTNltT7egoQWtVstTTz1FjRo1+PDDD21T2LJlULkykw4epNLp0/+szMnNpUxODoHr1kGdOur0mcuXbVOjEMbS6UxvQ1HM004xZfvQvXMHFi+GJk2gcmUoXx4lIIA+339PjypV8i9TFIUxY8aQnp7O0qVL9Tpqx6wUBaZOhVGjICUF10LWrWuys9V5izEx0KgR/P67desUwhTlypnehrs7yGZPhbLd8EJ6OkyZAsuXq2NA95y4q0lL4wnA5cknITAQZs3ivf372b17N/Hx8UafHmGSmTNh3jy1Z6uP3Fx1nmOHDnD0KBixeboQVte/Pxw5ov/PeUEUBUw8QLY4s80ZaVevqmF0/rxeK1hy3dx419ubkcePU7lyZfPX8zDnzkHdumoP1lAuLtC3L3z7rbmrEsL8btxQP3GasgNZ27awc6fZSnJE9nVGWnq6Grhnzui9ZNAlO5tpGRlU3rrVwsUVYv5848eocnNhwwa11yuEvfPzg379wNi9S7y91U+wolDWD93Jk9UeroGbYzhlZcHIkda/OXX3LixapG70YSyNBpYsMV9NQljS9OnqLmKG8vBQ781ERJi/pmLEuqF7+zZ8+aXxm2IoCixcaN6aHiY+3vTJ4pmZErrCcVSvDlu3qsGr58/+XScnlKAg9VOdBXb4K06sG7orV6o3zYyVlaXezLLmFnLXrpln+ovMWxSOpGlTdYexmjXVIYNCwlfr4oLi4cFuX1/mDx4MPj5WLtTxWDd0FywwfbVLbq7a+7SWnBzz7Joke40KR/Poo5CUBOvXQ3i4OhXMx0ftAXt7k+3uzrbatdEcP071Awd4Z+bMB/fkFQ+w7pQxc4zHKoq6ubK1lC1rno9L0gMQjkijgU6d1MfNm3DlijqdzNeXFGBQs2ZcqVaNQDc35s2bx8CBAzl06BA+8vNeKOv2dHNyTG9DpzNtOouhWrUy7SYaqNPGunY1Tz1C2Iqvr9r7bdwYAgOpEhhI3bp1iYmJAWDAgAGEhoby4osvUtRU1JLOuqFbqpTpbTg7q9NarKViRTUwTbmZ5uoKEyaYryYh7ERUVBTff/99/v//+OOPOXz4MF9++aUNq7Jv1g3dtm1Nu5EGam+5WYFzji1n8mQoYiP1h3rsMQgONl89QtiJyMhI1q5dS+7f9yy8vLxYs2YNkyZN4ndZAl8g64bupElg6vllLVqod1StqW1baN1anYdoKE9PmDvX/DUJYQcCAgIICAjgl19+yf9agwYN+O9//8uAAQPIsuZQoIOwbug2a2baloc+PvDKK+arR18aDaxdq+4eZkjwenqqm/m0b2+x0oSwtaioKL777rv7vjZ8+HCCgoKYPHmyjaqyX9ZfkTZzplG93RyNBl316tC9uwWK0kOpUurBe2Fh6lBDETMaslxc1Ou//RYGD7ZikUJYX1RUFD/++CNarTb/axqNhv/9739s2LCBtWvX2q44O2T90O3RA95916AxUsXVlVvu7vQvU4Z0U3Y/MpWXF0RHw65d8PTTaq/X1/efR6lSaAMCmOrqypUjR9TvVYhiLigoCH9/f3bt2nXf1/38/Fi9ejUjRozgwoULNqrO/thmP92JE9VxTg8PdcJ1Uby90Tz6KH5nzuAfHExoaCjXrl2zTp2FadRI3ZLyyhX1WJJVq+D772HvXpzPnCF36FA++eIL29YohBX169fvvlkMeVq1asWECRN46qmn8m+2lXiKohT6aNq0qWJRycmKMnWqovj6Kkrp0opSqpSieHoqio+Ponh4KErbtory00+KkpurKIqi6HQ65a233lKCgoKUs2fPWrY2E5w+fVopV66ckp6ebutShLCKEydOKFWrVlW0Wu0Dz2m1WqVLly7KG2+8YYPKbAM4oBSSq7bZT/ffcnLUkxYuXVI3w/Hzg+bNoVatAi+fN28eH374IZs2bSLYTqdiRUVF0alTJ8aMGWPrUoSwinr16rF06VJatmz5wHNXrlyhSZMmrFy5ktDQUBtUZ11F7adr256uCVatWqX4+/srCQkJti6lQAkJCUpgYKCS+3cvXYji7o033lAmTZpU6PNbtmxRqlSpoly7ds2KVdkGRfR0bX9GmpEGDRrE8uXL6du3L5s2bbJ1OQ9o06YN/v7+cudWlBh547pKIZ+eu3btyuDBgxkyZAi6EnxwpcOGLkD37t1Zt24dzz//PCtXrrR1OQ+YNGkSM2fOtHUZQlhFw4YNcXJy4vDhw4Ve8+677/LXX3/x8ccfW68wO+PQoQvQunVrtm/fzquvvspcO1v51bdvX65du/bAVBohiiONRvPAXgz/5urqyurVq5kxYwb79++3YnX2w+FDF6B+/frs2LGDzz77jDfeeMNudjhydnZm3LhxzJo1y9alCGEV/fr147vvvivyd7BmzZrMnz+fgQMHcuvWLStWZx+KRegC1KhRg507d7JlyxZefPHF+1bH2NLzzz9PfHw8SUlJti5FCItr1qwZWVlZnDhxosjr+vfvT5cuXRgxYoTddJKspdiELkCFChWIiYkhKSmJgQMHctfYs9jMyNvbm+HDh5foMSxRcugzxJBnzpw5HD9+nKVLl1qhMvtRrEIXwMfHh+joaAAiIiJIT0+3cUUwevRoVq5cSZqckyZKgII2wCmIp6cna9asYcqUKfz6669WqMw+FLvQBXB3d2fNmjUEBQXZxbLhRx55hL59+7LQ2icZC2EDrVu3Ji0tTa/9dOvXr897773HwIEDyczMtEJ1tlcsQxfUm1gLFiwgIiKC9u3bc/78eZvWM2HCBD799FO7GPIQwpKcnJyIjIzUa4gBYNiwYTz22GNMmjTJwpXZh2IbuqCOL73zzjuMGjWKdu3aPXRw35IaNGhAw4YNWbVqlc1qEMJaCtsApyAajYbFixezadMmfvjhBwtXZnvFOnTzvPzyy3zwwQc8/vjj7N6922Z1TJo0iVmzZpW4u7Wi5Gnfvj3JycmcOXNGr+t9fX1ZvXo1I0eOtPmnUksrEaEL8NRTT7F06VJ69+5ts2XDnTt3xtnZmS1bttjk/YWwFmdnZ5544gmDeq4tW7Zk8uTJDBo0iBxznBxup0pM6AKEh4fz008/2WzZsEajYcKECbJYQpQI+s5iuNfEiRMpXbo0//nPfyxTlB0oUaEL/ywbnjp1Kp988onV33/QoEGcPHmSI0eOWP29hbCm0NBQTp8+TXJyst6vcXJy4ssvv2TZsmVs377dgtXZTokLXVCnqezcuZP58+fz5ptvWnWM1c3NjTFjxjB79myrvacQtuDq6krv3r0Nvjnm7+/P8uXLefbZZ20+3dMSSmTowj/Lhjdt2mT1ZcMjRoxgw4YNXLx40WrvKYQt6Ls67d86d+7MkCFDiuU2kCU2dEFdNhwbG8vp06etumy4TJkyPPPMM8ybN88q7yeErXTp0oXExESuXLli8Gvffvttbt68Wew+FZbo0AV12fDGjRsB6y4bHjduHEuWLLGLZcpCWIq7uzsRERH8+OOPBr/W1dWVVatW8eGHH7Jv3z4LVGcbJT504cFlwykpKRZ/z5o1axIaGsoXcmqwKObytns0RkBAAAsWLGDgwIHcvHnTzJXZhoTu3/KWDYeHh9OuXTurTNCeNGkSc+bMkaOpRbHWrVs3Dhw4QGpqqlGvj4qKonv37gwfPrxYLCyS0L2HRqPh3XffZdSoUbRv397iy4ZbtmxJ1apVS8TSR1FyeXl50a1bN9atW2d0G7NmzeLXX39lyZIlZqzMNiR0C/Dyyy/z/vvvExYWZvFlwxMnTmTmzJnF4l9wIQpjzEKJe3l6evL111/z6quvcvLkSTNWZn0SuoV4+umnWbZsGX369GHz5s0We5/evXtz/fp1du7cabH3EMLWIiIi2LVrF9evXze6jbp16zJjxgwGDBjg0NtASugWITw8nHXr1jFkyBCL7Q7m7OzM+PHjZWmwKNZ8fHwIDQ1l/fr1JrUzdOhQgoODmTBhgpkqsz4J3Ydo3bo1MTExTJkyxWLLhp977jkSEhI4deqURdoXwh4Yu1DiXhqNhoULF/Lzzz+bNFxhSxK6esg7bfjTTz+1yLJhLy8vRo4cyZw5c8zarhD2pFevXsTGxpo8N93X15c1a9bw0ksvce7cOfMUZ0USunoKCAhg586dbNy40SLLhkeNGsWaNWuMnlYjhL3z8/OjXbt2+WcYmqJ58+ZMmTLFIbeBlNA1gL+/v8WWDVeqVInIyEgWLFhgtjaFsDemLJT4t/Hjx1OmTBneeusts7RnLRK6BipdujQbN25EURR69Ohh1mW8EyZMYP78+WRlZZmtTSHsSZ8+fdi6dSt37twxuS0nJyeWLVvGV199xc8//2yG6qxDQtcI7u7ufP3119SqVYuwsDCzLRuuX78+TZo0YcWKFWZpTwh7U65cOVq0aGG2aZj+/v58+eWXPPfcc1y9elX9Yk4OfPcdPPUUdO4MXbvCkCGweTPYw45liqIU+mjatKkiCqfT6ZTXX39dqVOnjnLu3DmztLlt2zalbt26ilarNUt7QtibBQsWKIMGDTJrm6+//roSFRqq6F57TVH8/BTFx0dR4P6Ht7eiVKyoKDNmKMrt22Z9/38DDiiF5KqErhl8/PHHStWqVZXjx4+b3JZOp1NCQkKUDRs2mKEyIezPlStXFF9fXyUzM9Nsbeb89pty1c1NyXFxeTBs//3w9FSUunUV5coVs73/vxUVujK8YAZjx45lxowZPP744+zZs8ektjQaDRMnTpTFEqLYqlixIo0aNWLr1q3mafDiRVzataNCbi4u+mwelZkJp09D69Zw44Z5ajCAhK6ZPP300/mnDZs6XjVgwABOnTrFoUOHzFSdEPbFbLMYFAV69IAbN9AYMl6bmwuXLsHgwabXYCAJXTMKDw9n7dq1DBkyhNWrVxvdjqurK2PHjpXerii2IiMj2bBhA9nZ2aY1tG8fJCWpIWqou3dh+3a4cMG0GgwkoWtmbdq0Yfv27bzyyismHcfzwgsvsGnTJoNOUhXCUVSpUoU6deoQGxtrWkMzZ4IpUyx1Ovj0U9NqMJCErgUEBwezY8cO5s2bx1tvvWXUsmE/Pz+GDBlik2PihbAGk4cY0tNh/XrTpoFlZ8OiReowhZVI6FpI3rLh6OhoXnrpJaOWDY8dO5YvvviCW7duWaBCIWwrMjKStWvXGn9yyqVL4OZmeiEZGerDSiR0LShv2fCpU6cYNGiQwcuGAwIC6NKlC59//rmFKhTCdmrWrEmNGjX45ZdfjGvg9m3QaEwvxMVF7TVbiYSuhZUuXZro6Gi0Wq1Ry4YnTpzI3LlzHW5TDyH0YdJ2jz4+5llhlpMDpUub3o6eJHStwMPDg2+++YbAwECDlw03b96cgIAAh907VIiiREVF8cMPP6AzJjyrVgVz7Pbn5weenqa3oycJXStxdnZm0aJFdO3alfbt23PBgGkqeYsljLkhJ4Q9q1OnDhUqVGDXrl2Gv9jLC558Uh0eMJaHB7z8snmGKfQkoWtFGo2G6dOnM3LkSNq1a6f3AXs9e/YkPT3d+LEvIeyYKbMYcsaMIcfUwBw+3LTXG0hC1wbGjRvHe++9R1hYmF7Lhp2cnJgwYQIzZ860QnVCWFfeuK6hQwy7du2iyXPP8bu3N4qrq+Fv7OkJkZFQqZLhrzWBhK6NDB48mC+++IJevXrptWz42WefZd++ffz2229WqE4I66lXrx7e3t7s379fr+tv3LjByJEj6devH2+++Sb1T59GU6kSGBK87u5Qpw7YYGaQhK4NRURE6L1s2NPTU85RE8WSRqPRaxaDoih8/fXX1KtXDycnJ06ePMmTTz6Jplw5dTlwrVrqOO/DlCoFzZrBL79Y9QZavsK2H1Nka0erOXbsmFKlShVl3rx5RV539epVxc/PT7l69aqVKhPCOg4dOqTUrFlT0el0BT5/5swZpXv37kpwcLCya9eughu5c0dR5s9XlIAAJdPFRdHdu52jk5OieHkpSv36irJ8uaJkZ1vwu5GtHe1egwYN2LlzJ5988gnTpk0rdJaCv78//fv357PPPrNyhUJYVkhICBqNhiNHjtz39ZycHD788EOaN29Ox44dOXToEK1bty64ES8veOklOHOG5/z9uTZ0KDz3HAwdCq+9Bjt2wPHj8Oyzhg1FmJmmsF9wgGbNmikHDhywYjkl27Vr1wgPD6dly5bMmzcPZ2fnB6757bff6NixI+fOncPTFh+NhLCQV155BVdXV6ZPnw7A3r17GT58OJUqVWLBggUEBgbq1U5ycjKNGzfm2rVrODnZpl+p0WgOKorSrKDnpKdrR/KWDf/222+FLht+7LHHaNGiBV9++aUNKhTCcvr168f333/PjRs3GD16NH379mXq1Kls3rxZ78AFiIuLo1OnTjYL3Iexz6pKsLzThrVabf783H+bOHEis2fPNm4VjxB2qlmzZqSmpvLoo4+SnZ3NiRMnGDRoEBoD5+HGxsYSGhpqoSpNJ6Frh/KWDQcEBPD444+Tmpp63/MdO3bE29ub6OhoG1UohHmdP3+ePn36oCgKPXv2ZPHixZQtW9aotvJ6uvZKQtdOOTs7s3jxYrp06UK7du3uWzas0WiYNGnSP4slzp2DuDiIjlZvFuQdRS2EncvNzWX27Nk0bdqUVq1a8d133+k9X7cg58+f586dO9SrV8+MVZqXCYuWhaXlLRuuUKEC7dq1Y/Pmzfk/TP369CFuzBhu16+P95kz6mTvPFlZEBYGkydDp05WXVcuhL4OHDjA8OHDKVu2LLt37yYoKAidTkdqaiqnTp2iTp06BrcZGxtLp06dDB6SsCbp6TqAcePGMX369H+WDR87hmtgIJ/cvo33yZNqyN68+c/j7l3YvBl694YGDeDyZVt/C0LkS09PZ+zYsfTs2ZPx48ezdetWgoKCAHXJ+xNPPGH0do/2PrQAEroO45lnnmHJkiVM696d3JYt4epV3IvaFF1R1E2ef/8dQkJAzloTdmDt2rXUq1eP27dvc+LECZ555pkHeqXGboCjKIrd30QDGV5wKD2Cg+mWm4uLIQfx5eZCWhp07AiJieoSSCGsLDk5mTFjxvDbb7+xYsUKOnbsWOi17du3Jzk5mbNnz1KzZk293+Ps2bNkZ2fz6KOPmqNki5GeriN5911cDDzyB1A3er56FZYvN39NQhRBq9Uyd+5cGjduTOPGjTl69GiRgQvg4uJCnz59DB5icITxXJDQdRzp6bBqldpzNUZGBnz0kVVPPRUl26FDh2jZsiVr164lISGBadOm4X7vDd8i5C2UMERcXJzdDy2AhK7jWLECTF1hk5ICO3eapx4hCnH79m0mTpxIeHg4o0ePJiYmxuCP/KGhofz+++9cvHhRr+sdZTwXJHQdx4YNcOeOaW1kZEBsrHnqEaIA69evp379+qSmpnL8+HGee+45oz7uu7m50bt3b3744Qe9rk9KSgKgdu3aBr+XtUnoOoq0NNPbUBRZOCEs4s8//6Rfv35MnDiRpUuXsnz5cipUqGBSm1FRUXrPYsibKmbv47kgoes4TDl87156jqkJoQ+tVsv8+fMJCQmhXr16HDt2jLCwMLO03aVLF44dO8aVK1ceeq2jDC2AhK7jqFrV5CZynJw4fPWqXj/EQjzM0aNHadOmDWvWrCE+Pp533nkHDw8Ps7Xv4eFBREQEP/74Y5HXOdJ4LkjoOo4hQ8Db26QmNE5OLEhJoW7dutSrV4/Ro0fz/fffk2aOoQtRYty5c4dXXnmFLl268MILLxAfH2+xvQ70mcVw6tQpXF1dDZrTa0sSuo6iWzf9zn8qgkvbtiz++WdSU1P56quvqFGjBkuWLCEwMJCQkBDGjx/P+vXruXnzppmKFsXNpk2bCA4O5tKlSyQmJjJs2DCL7lvbvXt39u/f/8BOe/fK6+U6wnguSOg6DicnmDDB+IP0SpWCV14B1B3MmjZtyuTJk9m4cSOpqaksWLCAChUqMHfuXKpWrUrz5s2ZMmUKmzdv5vbt22b8RoQjunz5MgMGDGD06NEsWrSIFStWULFiRYu/r5eXF127dmXdunWFXuNIQwsgoetYxo6Fxx4DNzfDXufpCb16QXh4gU+7urrSunVrXnvtNbZt20ZqaiqzZs3C09OT999/n0qVKtG2bVvefPNNYmJiyMzMNMM3IxyBTqdj4cKFNGzYkFq1anH8+HG6du1q1RqKOilYURSH2OTmXnJGmqP56y/o0AH++EPdXexhvLzUfRfWrTP6ML6MjAx27dpFTEwMsbGxJCYm0rx5c0JDQwkLC6NFixa4GfoPgbB7x48fZ/jw4Wg0GhYtWkRwcLBN6khPT6dKlSpcuHABPz+/+547efIkPXr04OzZszaprTByRlpxUrYs7N0LAwaAh0fh47ze3upj/Hh1YYUJp596eXnRuXNn3nvvPXbv3s3ly5eZPHly/hZ95cqVo2vXrsyYMYO9e/eSa+xSZWEXMjIyePXVVwkNDWXIkCHs2LHDZoEL4OPjQ2hoKOvXr3/gOUcbWgAJXcdUqhQsWwaXLsE770D16uqQg0ajBnH9+vDpp3DtGvz3v6YvH/4XHx8fIiIi+Oijjzh48CAXLlzgpZde4vLly7zwwguUL1+enj17Mnv2bA4fPixnuTmQn3/+mQYNGnD27FkSExMZMWKEXRzwWNhCCUfZb+FeMrxQnCiKXZwSkZKSQlxcXP5wREpKCh07dswfjqhXr57D3GkuKa5evcqECRPYtWsXn332GeGFjP/byvW0NIZVq8aadu1wTU6GjAyU0qVZdfo0j69fT6UuXWxd4n2KGl6Q0BUWd+nSJWJjY4mNjSUmJoY7d+4QGhqa/wgKCpIQthGdTseSJUt4/fXXef7553nrrbcoZU97Lmu1MGcOfPQRGWlpeGm19z2dC7h4ekKdOvDeexARYZs6/0VCV9iV8+fP5wdwTEwMQH4vODQ0lICAANsWWEKcPHmSESNGkJOTw6JFi2jUqJGtS7pfZib07avujJeR8fDrPT3hzTfh1VctXtrDSOgKu6UoCklJSfkhHBsbi5eXV34Ah4aGUqVKFVuXWaxkZWUxffp0Fi5cyNtvv82IESNwdna2dVn302qhRw+Ij9dvlk4eLy94/314+WXL1aYHCV3hMBRF4ddff80P4Li4OMqXL58fwp06dcLf39/WZTqs7du3M3LkSEJCQpg7dy6PPPKIrUsq2Lx5MHWqfj3cf/P0hAMHwIbHsEvoCoel0+k4duxYfk94x44dVKtWLX84omPHjpQpU8bWZdq9lJQUJk6cSHx8PPPnz6dnz562LqlwiqJu8HTpknGvd3FR9yr5/HPz1mUAmacrHJaTk9N9+0KkpqayZMkSqlSpwoIFC6hRowZNmzZl0qRJREdHc+vWLVuXbFcURWHp0qUEBwfj7+/PiRMn7DtwAWJiwJT/jrm56tFW6enmq8mMpKcrHFp2djb79+/PH47Yt28fwcHB+cMRbdu2xcvEjYIc1e+//86IESO4c+cOixcvpnHjxrYuST9RUaDniRGF8vaGzz6DZ54xT00Gkp6uKLbc3Nzu2xciNTWV999/H2dnZ95++238/f3p0KED06ZNIz4+nrvGnKbsYO7evct//vMf2rZtS2RkJHv27HGcwAUwx5LezExITja9HQsw03EEQtgHDw+P/FkPoB6SmJCQQGxsLJMnT+bXX3+lZcuW+dc0b94cVxOWSNubuLg4RowYQb169Thy5AhVzbD5vdWZY0Mlrda4m3BWIKErijVvb2+6detGt27dALh58yY7duwgJiaGUaNG8ccff9C2bdv84YjGjRvbbvrU5cvqGXbZ2eDnBzVr6r1nRlpaGpMnT2bbtm188skn9O3b16KlmkNmZiZJSUmcPn36vsfsP/6gqamNu7qqf4d2SEJXlCi+vr707Nkz/2ZSWloa8fHxxMTEMGTIEC5dukSHDh3yZ0cEBwdbdu+BnBxYuxY++ACOH//nDDudTr0L/9JL8OKLhR7XpCgKX331Fa+88goDBw7kxIkT+Pj4WK5eA929e5czZ848EKynTp0iJSWFmjVrEhQURFBQEM2aNWPQoEEEffMNyrJlaLKzjX9jd3do0sR834gZyY00Ie5x5coV4uLi8qeo3bhxg06dOuUPRzz22GPmW7IcG6veNMrNLfxOu7u7up/GkCHqJkb3HFB6+vRpRo4cyfXr11m8eDHNmhV438bicnJyOHfu3H2BmvfnS5cuUb169fxgDQoKok6dOgQFBVG9evWCP1WcOwd16xq2KOLfqlRRx3RttLxc5ukKYaTk5OT79o3Izs6+b8lyYGCgcSH8ww/qnXV9xx29vKBtW9i4kbtaLR9++CFz587l9ddfZ8yYMbiY67ToQmi1Wi5cuPBAqJ4+fZoLFy7wyCOP5IfpvY+AgADjxsxDQyEuzrhivbzUfRjGjjXu9WYgoSuEGSiKwtmzZ+9bsuzq6prfCw4LC6NatWoPb2jPHnj8ccNv9Hh5caVDB8LOn6dWrVp8+umn1KhRw7hvpgA6nY4///yzwGA9d+4cFSpUeCBUg4KCCAwMxD1vWMRcEhKgSxfDb6ppNFCuHCQlga+veWsyqAwJXSHMTlEUTp06lR/AsbGx+Pr63rdvRKVKlR58YZMmcPiwUe+ZqdGwY/Zsuowda1QPW1EULl++/MAY6+nTp/njjz/w8/MrMFhr1apl/fnOS5aoeyjo+4+TRqPOz921C2y46bpaioSuEBan0+k4ceJEfgjHx8dTuXLl+5Ysl798GVq2NHpalOLsjGbIEDWQCrtGUUhJSSkwWJOSkvD09CxwjLV27dp4e3sb++1bxurV8H//p04BK+rGWqlS6rBCbKy6ib+NSegKYQNarZYjR47kD0ckJCSwzNmZXjdu4FLE791DeXrC1av8lZNTYLCePn0aJyen+wL13oevDT92G+XCBZg/HxYuVPdlyM5Wbz66uYGzM5Qvr550PXgw2MnMDQldIexATk4OSsWKuF2/blI7t52dGeLlxTaNpsChgKCgIMqVK2emqu1IdjZs3KiGcEaGOmbbsCG0aWMXJ6bcq6jQlXm6QliJq6srmGEZsoe7O0s++gjfv0/qLTHc3NRNzR2chK4Q1mSGkHRxccGvXDm7690J/ciGN0JYk7nGU8uXN087wuokdIWwpkGD1I/JplAUaN3aPPUIq5PQFcKaRo8GU/ZycHODESP+2aNBOBwJXSGsKSAAWrUyfjzWyQlGjTJrScK6JHSFsLbFi42bT1qqFEyZoga3cFgSukJYW1AQbNmiBq++PV4vL3WnsWnTLFubsDgJXSFsoVUr2LdP3SPAy0tdWVUQb2/1MX26uipLpok5PAldIWzlscfg2DHYufOfWQ0uLv/soVu/PixYACkpMG6crasVZiLLgIWwF4oCd+6oy119fQvv/Qq7J8uAhXAEeVsTimJNhheEEMKKJHSFEMKKJHSFEMKKJHSFEMKKJHSFEMKKJHSFEMKKJHSFEMKKJHSFEMKKilyRptFoUoDz1itHCCGKhRqKolQo6IkiQ1cIIYR5yfCCEEJYkYSuEEJYkYSuEEJYkYSuEEJYkYSuEEJY0f8Dk699czhaRykAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 5.0\n", "nombre de sommets dans la vertex cover : 10\n" ] } ], "source": [ "G = nx.generators.random_graphs.random_regular_graph(3, 10)\n", "pl(mip.BINARY, G)\n", "pl(mip.CONTINUOUS, G)" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 20.0\n", "nombre de sommets dans la vertex cover : 20\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADnCAYAAAC9roUQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA4TElEQVR4nO3dd3xTZfs/8M/JXm0ptEV2i2WJshXKkCkiCCgOFBGU4X5AFMSfCDwqKsOvCiLjEZUhiIAgyBSQpSAyZSMUyqZldiVNk5zr98dNodAkTXLSdF3v1+u8gIz73AntlZN7XJdERGCMMRYaqsLuAGOMlSYcdBljLIQ46DLGWAhx0GWMsRDioMsYYyGk8XZnVFQUxcbGhqgrjDFWMuzatesyEUW7u89r0I2NjcXOnTsLpleMMVZCSZJ0ytN9PLzAGGMhxEGXMcZCiIMuY4yFEAddxhgLIQ66jDEWQhx0GWMshDjoMsZYCHHQZYyxEOKgyxgLHlkGVq8GOnQAypcHwsKAqCigYUNg5kzAZivsHhY6DrqMMeWIgOnTgYoVgaeeAtavB1JSgIwM4MoVYO9e4D//AWJigKFDgezswu5xoeGgyxhTRpaBV14B3noLSE4WgdadjAxxTJkCtGoFpKWFtp9FBAddxpgyw4YBP/wAWK2+Pd5mA/75B3jkEcDhKNi+FUEcdBljgdu6FZg2zfeAm8NuF0MOX35ZEL0q0jjoMsYCN3584JNjVivw+edieKIU4aDLGAtMSopYqaCkonhGBrBuXfD6VAxw0GWMBebnnwG1WlkbGRnAN98Epz/FBAddxlhgzp/3fyzXnTNnlLdRjHDQZYwFJlgbHbKygtNOMcFBlzEWmKgo5cMLAFC2rPI2ihGvNdICkZSUhKSkJGRmZiI8PBw1a9ZE+fLlg30axlhha9YMMBo9b4bwhdEotgyXIkEJug6HA8uWLcO4ceOwf/9+6PX6m/dlZWWhXbt2GDZsGNq0aQNJkoJxSsZYYWvdWlylKgm6RMDAgcHrUzGgOOju27cPHTt2hNVqRXp6OgARaHNbvXo1tmzZgmrVqmHt2rWoUKGC0tMyxgqbJIndaMOHBzahplIBXboA0W4rlZdYisZ0//77b7Ro0QLJyck3A647RISMjAwcPXoUDRo0wJlSNlvJWInVty8QGQk5kG+wRiPwwQfB71MRF3DQPXXqFDp27IgMP75aOJ1OXLlyBa1bt0ZmZmagp2aMFRVhYVg3ciTSAMgqP8KJ0QgsXAjUrVtgXSuqAg66H330UUCB0+VyITk5GbNmzQr01IyFlssFLFsmxjArVADKlBF/tmkjbne5CruHhWb58uV4btQonF6yBKoqVUT+XG/MZvGYlStFwpvSiIg8Ho0bNyZ30tLSyGg0EoCAj9jYWJJl2W37jBUJLhfR+PFE5coRhYURiWmf24+wMKKoKKIJE4hK2c/zypUrKTo6mrZv3y5uyM4mWrSI6P77iYxGyjYayapWi/fIYiGqVo1o8mSi1NRC7XcoANhJHuJqQEF3ypQpZDabFQVds9lMmzdvLvhXz1ggsrOJHnuMyGRyH2zvPEwmoh49xPOKq5Mnid5+m6hhQ6K4OKI6dYg6dBCB9I7XtWbNGoqOjqatW7e6b+voUVr3+uv0vxYtiBYuJNq+vVR9KHkLugGtXlixYoXiMVmr1YoNGzagVatWitphLOiIgD59gDVrfN91ZbUCq1aJiaW5c8XMfnGxfbtYgbB9u8j4lbuqw+HD4na1WlR+GDEC67ZsQe/evbFkyRIkJCS4b7NmTRyoUQOJKhXw5JOheR3FREBjupcvX1Z8YiJCcnKy4nYYC7pFi4Bff/V/m6vNJsZ4lywpmH4VhHnzgLZtgU2bxHZcd2V00tOB69eBCROQVq8eXunZE4sWLUKLFi28Np2eno6w/MZ4S6GAgq5Wqw3KyXNvomCsyBg7Fgj0m1xmpnh+cbB0KTBggO8fLllZ0P/7L/aULYsHH3gg34enpaUhPDxcYSdLnoCCbqVKlRSfWKfToWLFiorbYSyoDh4UX6mVOHBAeRsF7fJloFcvv6/m9QDCzp4F3nsv38fyla57AQXdvn37wmKxKDuxSoUneayHFTWzZyuv2+VwiHaKsm+/DTz5eFaWyIGbT8BOT0/nK103Agq6Dz/8MEwmk6ITN23aFLGxsYraYCzokpIAp1NZG04ncOpUULpTIFwuUSZHaWrGBQu83p2WlsZXum4EFHRVKhXeeustGI3GgE5qNpvxzjvvBPRcxgpUsHLEBqudgvDHH8r7l5EBTJrk9SE8vOBewDvSBg8ejNq1a0On0/n1PKPRiK5du+KR0robhRVtUVFFq52CcPassrpmOc6d83o3T6S5F3DQNRgMWLduHWrUqAGDweDTc0wmE9q0aYPZs2dzikdWNLVpAyicr4DFAjz4YFC6UyCs1uBU4LXbvd7NV7ruKcoyVrZsWWzfvh09e/aEwWDwOM5rsVhgsVgwZMgQLF++PGhLzhgLuqeeUt6GJAWnHV9cuSKGC1asADZsAI4fz/85ERHBqfhgNnu9myfS3FNcrsdsNmPmzJk4f/48PvzwQ1StWhU6nQ6SJMFgMKBu3bqYPHkyUlJSMGbMGKj8yUTEWKgZjUC/fkCgFwY6nUjKnfPtT5aBtWuBrl2BOnWAqlVFZq3nnwd27QrsHETAtm3AE08AlSoBjz4KPPcc8PjjQL16QP36YtODpyvRBg2UTxZKEtC4sdeH8ESaB572B5OX3Au+4GQ2rNg6fZooIsK3nAt3HNkmE9GZMyJZzqRJRBUqiGQvdz5WpRL5GurUIfr5Z9/7duUKUbNmRGYzkSR57ovFQhQZSbRtm/t27r8/oNd38zCbibZs8dhNp9NJKpWq1MYBeMm9UGCXnTxmy4qtKlVEHoV8vj7nJgNwGY3objDgm6VLxVXou+8CFy64L2cjy2Js9fBhcdX73nv5T25dvgw0agTs3i12vnl7fEYGcO0a0L49sH593vuHD88/DaM30dGAl23A6enpsFgsHAfc4O/6jLmTkCDyEZQtm+/EGpnNSNdoMGfgQHy1fTuqDB+O7OXLfS9hY7UCEycCY8Z4fozDIQLo+fPu8yN4a7t7d+DQodtv79YNiIkBBTK2azIBn37qNakPT6J5xkGXMU8aNwZOnwa++AKIj7+VgNtkEn+azUB8PKSJE5G6bx+Gz58PmjULHYmg83fM1GoVORv+/tv9/UuWACdOBLZbzmrNu21Xq0X2mjVIU6ng8uNqNEujAQ0eDDzzjNfH8XIxz4Jegp2xEsVsFklh+vcXX+uPHRNZt8LCgBo1xNd9SUJVANOmToW6Z0+oAp2kysoCJkwQZWzuNG5c4FV3iUSaypQUICYGgKjg8vx778HSujVmHD8uhi68ta9Wg3Q6TC9TBrawMLybzyn5StczDrqM+SJntt7LjP3jlSrB+8rVfMgysHy5CIC5N1cEIwkPAEyfDowcCSLCK6+8gkuXLmHWypWQAGDBAqSNGAHt+fMw6nRiCEOjAfR6sdKhVy9IQ4bgyTJl0KxZM9SsVQs9evTweCpeLuYZB13GgmX6dOiUbjpQqUROg9deu3Xbxo3Kd5BlZQFffw366ivIV65gmixDZTZD6tYNeOcdoHdvDPr9d3SKjsYzcXEif65eL2rBde16c9KtEoClS5fi4YcfRtWqVdGkSRO3p0tLTeUrXQ846DIWLImJkJQGXas1b7Kca9f8mzzzJDkZEoCbU2eZmWIN8bZtoPBwUFoaEg4cAKpV89pMo0aN8L///Q+PPfYY/vrrL1SuXFmMNS9dCowfDxw4gB42G7qrVEDlysArrwAvvXRzaCNfOW3NnClWfzidQLlyYkKwb19RGLQ487SWjBSu02Ws1FG69jXneO2129v99FMijSY4bXs5rJJENHaszy933Lhx1KB+fcoaO5aoTBnPxTsNBnE88QTRtWueG0xPJxoxwnNbJpNop3dvohMnAvs/ChEUxjpdxkqdYF2B3ZksJyZGfNUvYEYi4MMPRa5dHwx7+21MslpBI0aI4Yj0dPcPzMoSx6+/it1w7hLlXLwINGkC/N//eW7LahXtzJsn2tm2zcdXVrRw0GUsWFq1urX9N1BhYWJFRG7duokcuKFgtQJvvCEm8/IhDR+OlufOweBr37KzRYazBx8EUlNv3Z6aKjZaJCaKoJofWQbS0oCHHgL27fPt3EUIB13GgmXgQOVt6HRAly633xYVJW4LVd4SSQJmzPD+mD17gKlTIfm6ASSHyyWudEeNunXbgAHiNn+X2mVmAh07Ks8jEWIcdBkLlrvuEkEg0K2vBgMwaJBYqnWnoUNDMsQAQCQ4/+IL71fXn32Wb2pHj+x24LvvxHmSk8UyuUDbslpFhrVihIMuY8H03/+KTGWBMBjETL87990HWZIQhNTjvrHZPGdBu3YNWLxY+ZDHggVi7bAS6enFp/ryDRx0GQumhg2B778XW4V9RABklQpo21Yk2nFTSufSl1/CZrUiZOljJAm4dEn8/c5lcCtWuL8a90dGhhjCmDLFt3Fcb/buBc6cUdZGCHHQZexOhw4BQ4aIPLVt2og8tePH+zS5BAB4+mngxx9F4PVhSEACoJJlkV/hjTfEaoVBg26u1z1y+DCso0fD95xnQeBwiL4YDCLhuVYLVKwIfPSRmPAKwrph68mToJQU5X3V64tV0OV1uowREcky0eLFRI0bExmNedfFGo1Eej3Rk08S/fOPb22eO0c0cqTIaxsWRmQwkAsg2Zd1s1otUVgYHf/2W+parhxl6/UFvk7Xp8NgEO+Nt1y+Ph7ndDpyBaNPERFEv/1WoD8e/gKv02XMC5cLePXVW9UcbLa8M+I2m5jsWbxYpH3Mp/w4AHFl+OGHYrLoxx+BJk0gabW+DRE4HEB6Oir074/PmjSBlkI2mutdVpZ4b4LQn4p160JSOkyRIyIiOO2EAAddVroRicmrOXPEEqT85CQff+EF4JdffDuHVgtcvQrs3g3Jz9SMJgA1N2wIzjbgIsShVmPWpUv4Nxjrj7OyROrNYoKDLivdfvxRHP6uN7XZRF2y06fzfywRMHq0/+fIIcuBL0MrwuLGj0fs11/7VaEjD5VKJOQpWzZ4HStgHHRZ6UUklnj5coXrjtMJTJ6c/+O2bRO5bAMVpK/zRYn2oYfw4LPPQt+3r7KGDAaxhrkY4aDLSq8dO9znAfBVdrZYZ5rfwv4vvwz8KrckMplEUvacv7/5ZmBXu1otcO+9wAMPBLV7BY2DLiu9vvpK+RpRIrGjypsDB5RfqarVirYBK0w4GTwmE7BokSgVD4hcDE6neH1+DKG41GqxA3DlymI39ML5dFnpdehQ3oX/fpKtVuz66SfsSE6G1WqFzWa77bBarfg8KQlR+TfllePGhJM2gOfaJQn7VCrUlCQYiSCrVLA7HFCpVDAQQUOkfNNFTuDz9OFisYjA+uuvIjHQ3r0iefrmzTc66fs2YJfRiGPZ2aA5c1CnXDll/S4EfKXLSq9Ax3JzUblcuHDkCPbv34/z58/DbrfDbDajSpUqqF+/Ptq3bw9dECZ5XJIEa/PmyNbp/HqeLEnQEeFetRrSjStKlSwjW5KwKT4eMyMigrO1uEoVsYlErxfLtyIiQBERsAJw1qwJfP21SN/YqpUIvC1aiATqdrtPATcbEFfJdetCPX06dkybhh6vvIKMnLpuJ06IDS01agDly4uKF/feK1JFXrsWjFcYPJ4W8BJvjmAlXZMmyhfma7VEEyZ4P8/jjyveTJCp0dCw++6jKQYDuQwGn54j57MRw2U0UhZAslar/H1o1ky81kuXiDZvJlq2jGjdOurfsiX98ssvt96L9etFMnI/2pYliS4B5Nyw4ba39cUXX6QRjzxCcsuWYtOGu9eRk/j82WeJLl4M7s+PF+DNEYy50aCB8hwCBgNQu7b3x7z5pl+5GNzJdDrx+f79WNyyJWjaNHFlabG4H8+8cZt04/BEZbNBDwRW1j03o1FsmQZEGspWrcQyrvbtUa1jR2zduvXGi8gEHnvM70lFiQgWANZJk267fUqXLhixejWkP/4QY/PuXkdO4vOFC4H69YGjR/1/fUHGQZeVXoMGify1Suh0QKdO3h/TqlXeahB+kPV6/M9sRu++fbF582aUHTQIbz3xBI5/8QXokUeASpXEV/qYGBHc1er8G81F8XgukaiB5kbz5s1vBd25cwMeQzcAMC1ffmuoYPNmGJ5/XlS78IXTKZbttWwJnD8fUB+ChYMuK73uuw+oWTPw53vLf5ubJAEjRwZ8tWvNzkaNceMwc+ZM7Ny5ExqNBlevXcNDH3+M+mfOYMLgwTh/6JAo5KhShTaptyQBnTsD0dFu727atCn27NkDe1aWSBqkYBxdBkQGN7tdFKl0k43NKyJRCqh374D7EBSexh2Ix3RZabBsmd9jjDmHw2j0fZxQlon69vX7XFZJooWvvnpbU6tWraK77rqLjh07Rps2baL+/ftTZGQk7Y2MVD426+9hsRAdPuz1pTds2JD+mTOHyGxWfr7q1YnmzfNcBNOXw2Ao8MKW8DKmy0GXsREj/A6GTr2eHouMpEmTJpEsy76dx+kkGjjQp+Ajq9WUqVLRdz17um3qq6++ojp16tC1G9V1bYcPkzMYE2Iqle+PNZmIfv8935f9+uuv0+L+/UU2sGAE+fr1lbWh0xG99ZZv/2cB8hZ0eXiBsY8+At59V3z9z2+hvU4HWCxQr1qFz3ftwvTp0/Hqq6/C4ctklFotdrDNnQs0bQqnVos8aWzMZpDRiNUxMfjkySfxwo8/um3qjTfeQPv27fH000/D4XDAsHs31EEo50NaLWxqNbymoQkLA8qVAzZuFInX89G8eXOcCMYGEUBMiv37r7I2srNFuaBCwkGXsZwx13XrxKy7wZC3qq/FIo7XXwcOHgTatkVcXBy2bt2Ks2fP4uGHH8aVK1e8n+fSJeCff8T457ffYlCTJpgRFgY88YSYjHvuOchjx6JPx46YkZCAD+bNg+TlQ+CLL76ARqPBf/7zH9DVq0EZy73mdOLzzp0h9egBp1aLTK325rpbh0aDc+XLA998Iyaj7r/fpzabN2+OHf/+CwrCzjHS65VPfgKimrDCjTGBksjLp0+TJk1o586dIewOY0VAcjIwbx5w/Lj45YyOBho3FsHRTYl1l8uF4cOHY+nSpVi2bBnq1Klz605ZBtasEZNI27aJzQOSBJJl2NLT8Vd8PNotWwbUqQMiwiuvvILjx49j5cqV0Ptw5ZqWloYWLVrg8zp18NCKFYpzPKRaLAhPS4MkSXj/1VdRW5LQu2tXwGTCzuRkDPjkE+zdu9evNokIjSpUwK7r16EKtADlDbYaNWBMSbm9hHsgVCrxXhVQsU9JknYRURO3d3oadyAe02XML9999x1FR0fT6tWrxQ379xNVrizGIT2ML7pUKlGVolMn+mDYMGrcuDGlpaX5dd6kpCTqGxlJ2Uaj8jHTBg1uttu+fXtatWrVzX87HA6KjIykc+fO+f3edO/enfZUqKCoUkSmWk37+vcnCg9X/jo1Gr9fgz/AY7qMFbwXX3wRixcvxgsvvICfhgwBJSSIhC45W1XdUMkyYLPBuW4den35JVb/9BPCwsL8Om+1atXw+pIlcPi7hOoOlLPJYcsW0J9/In33btS7776b92s0GnTo0AG//fabz22eOXMGw4YNw9q1a/F/KpU4R4BknQ6/x8Yq38wBiC3ChYSDLmNB1LJlS/w9fz46T5oEyUuwvZPG6UR1SULU888HNDZ7f61a0Op0yvIo2GwiDWXXrqBHHsGGa9dQoWVLYOpUUeocQKdOnbBq1ap8m9q7dy+ef/551K9fHy6XC3PnzsWBqCioa9cWKRn9ZTIhqXFjVFi+HKhTR1HGNYSFAcOHB/58pTxdAhMPLzAWmJ49SfZn6dWdS6KWLPHvfHY7Ue3aRGp1wF+3vRbLNJvF8rC5c+ns2bMUGRlJDocjTzdkWaY1a9ZQhw4dqGLFijRu3LibS9rsdjuZzWZKP3GCqFKlvIU/vR1aLZFORw6jkbKDUBCTwsPFe1aAwMMLjIXIlSvA0qWQAp0Zz8i4leDbVz//LIYxFNQb87quIDNTTDoNHIhKCxagSpUq2LFjx827s7OzMXv2bNSvXx9Dhw7F888/j5MnT+Kdd95BmTJlAAA6nQ6NGjXCX4mJovhnzZpiNYgXpFKBAMhOJ5CdDY3NprxAp8kkqoUEYwVEgDjoMhZM332n7KsvIJaVHTvm++PHjfM6bhw0ViswYgTejovDqlWrcP36dYwfPx7Vq1fHnDlzMGHCBPzzzz/o06cPdG6C2s08DOXLA3v2ADNmAA0bioQ5RqNYx3xjHTS0WkiSBAmASmmgzWEyAb16iQREhYiTmDMWTEuWBKc0z9q1IjdsfvbvV75ZwB82G57auBHVt23D5MmT0aVLFyxfvhwNGjTI96nNmzfHlClTxD90OqBnT3EcOAD88YdIZqPXiw0QY8b4n1vBE41GjCP/5z/Ap58WeqUJDrqMBdPVq4qboKwsHN22DWdr1oTBYIBer4fBYHB7aP78U3mWMD85U1PRRKPBRzt2+BRscyQkJKBPnz6QZRmq3N8G7r339tUETz3lVyWJPDQaEdQ1GjEp2bu3uLrNvX66EHHQZSyYlA4tAHARYfuOHZhz4QKysrLyHHa7/ebfh7pc+JAooDI+gQoD8ElEBPYdPOhX0I2Ojkb58uVx8OBB3JdrKdptLl8WlSWU7BZTq4EJE4CKFYEOHfIdOw41DrqMBVN0NHD4sKImNCYT+r79NvoOHJjvY10TJkD1/vsin0AI3XP9OsavXo3nnnvOr+fljOt6DLrff6/8g0urBSIjRcL0IoiDLmPB1LcvsHu3soktl+tWJYZ8qCtVEl+lQxx0JVnGyiVLMHXqVOj1emi1Wmg0Gmi1Wo+HRqNB1apVsWrVKnTo0MHt/YYtW6BWOpabkSFWSDz7bHBebJBx0GUsmJ55RiQ2D5Qkia/EFSr49vguXUKbtDwHER6XZTQfPRpR2dlQyTIytVrsionBr1WqIEWthsPhuO1wOp1IT0/H6dOnsW/fPrf3r7HZ0CoY/bt0KRitFAgOuowFk8kEvPCCyMQVyNWnyQQMHer74yMixAqAH35QtE7XXyoAk51OGO4IbvFWK3omJQHt24skP3cMI8iyjHLlymHbtm0oX7583oY7dwZ82PGWLz+3UocSr9NlLNg++EDUK/NzbJKMRjEO2bq1f+d7661CWexvcJcDIStLHCtXAs2aiT9zUalUSEhIwLZt29w3WqOG3zXe8nbMANx9t7I2ChAHXcaCrVw5YNMmEXh9zDNgV6uxOywMrhkz/F9HWq+euDpWWHE4qIjEeuWnngI2b77trtuKVd5p4EBQMD5AevVS3kYB4aDLWEGoXh3YuxdX69ZFliR5DiRmM2A0QjNoEN6pUwfD3nsvsPN98AEwYIDPgTdIe7zyZ7WKxPC5Nox4C7ppVaviXyWbFyQJ6NhR7HorojjoMlZA5OhodFSrse7LLyG99hoyVCpRBkenE8EhNlaMeyYnQ/3551i0ZAlWrVqFr7/+2v+TSRIwcSLSPv4YyZIE8rA21a7VgoxG2OrVC13glWVg/vyb/3zggQewd+9e2O/YAJGeno5OnTphS6tWILM5sHMZjYWbQcwHHHQZKyA///wziAid33gD9PnniNJq8d7gwaIyhcMBnDwJvPbazUmfyMhIrFixAl989BG2fvop8MsvwPLlwN9/+zxJNkerxdvPPANp0SJkt2qFTL0eWQCy9HpcCA/Htm7dsHvFCkxOTIQchI0cPsnIAMaOvVkjzWKxoFatWti9e/fN3F8ZGRl45JFHUK9ePfRbsQJSz57+D5eYTMA77wDNmxfAiwgiT+nHiFM7MhawbKuVXq1QgU707EnUvz+lvvACDVWr6fe5cz0/6cABov79yanXU6okkcNsFhV0w8KIoqOJPv6YKCXF63kTEhJo4cKFNGrUKCpbtiwNGjSIkpOTiYho3rx51Lx5cypfrhzZvVSzKJDDbBaVNGSZaONG2l+tGmVrtUSSRLJKRelqNW2uWZNc//wjXojTKUrW+1i23a7VEr37rmi/CACXYGcsRJKTiUaNIpvJRBl35Le1AiTr9USdOxNt2nTrOXY70bPPirI93vLMGo1EBgPR9OluT33o0CEym80UExNDffr0oZMnT952/9dff02SJNHuSZNEIA9l0NVoiJ54gqhKFSKLxW3ZHlmjEa+xUaNbAfr774mqVxfB945curJaTZmSRGmxsdQvLIz2//or0b59RCdOEFmtBfd/7AMOuoyFwq5dRJGRIrB6C0CSJJKCDx1KlJVF1KqV+LevAcxkIhoz5uZpHQ4HffvttxQREUFxcXG0f//+PF378ssvqXLlynT33XfT8XHjglNnrKAOSRLJ3HM+mGSZ6M8/iXr2JKpfn+juu4kaNiR68UVa+Nxz9HutWuTQ6ShTpSI5LEwEaKOR6PnnifbsCc3//R046DJW0Pbu9VqA0uNX7ho1/Au4OceNAOPQ6+mqSkX/ms30drlytHX9+tu6Jcsyvfvuu1SrVi1KSkqiN954g5Y9+2zor3QDOSwWceXqzrVrRO3bk2wwkN3T89Vq8d7efz/RxYsF/zOQi7egyxNpjCmVkSG27vqbbyEzUyQrDyT/rixDSk+Hxm5HpCyjRmYm/nv1Kpp16wa8/TaQnQ2n04n+/fvj999/xx9//IFq1aqhXbt22P7vv4WeU9YnGRnu19umpIjk51u2QMrKgsdVvS6XeG/37AHq1wdOnSrI3vqMgy5jSs2dG7yE2wpYiCBlZgJTp8LVogV6Pfoozp8/j/Xr1yMqKgoA0Lp1a/xw9ChISb7aUDpxQgTNHDYb0K4dcO6c79usnU6Ri+HBB4Hr1wukm/7goMuYv4iA1FTg/HlRJXfsWHHVWlTYbHDt2oUxu3Zh2c8/w5Jrze6FCxdgNRrxi8uF0GVqUMBuBz7//Na/Z84US+38LcMuy2Kp3qRJQe1eIDjoMuarxERg8GCxrjYmBoiPF3lbk5IKu2d56IhQw2qFbsoU2O12zJs3Dw8++CAeeugh3H333Tjz9NNQF6Vtw564XKLwJiA+7MaPD7wckt0ugm5hZGXLhYMuY/m5fFmM2d57LzB1qriqzc4WX3VDmNnLX5LVirQPPkDVypXx/fff480338SpU6cwcuRILDl3DmjVCmQwFHY382e3i/f7zz/F/4US2dnAihXB6VeAOLUjY96cOQMkJIgxwRAnCg8GXXY2dk+ahEr9+t28rVWrVnj66adhO3UKWY0bw3TmDPQ+lschtRqSSiU+bJSU1PGDiwhfjh2Lh7Zvx30ZGcpqwqWnA4sWAd27B6t7fuMrXcY8SU0VaRYvXiyWARcQ6Rcr3ZGfNiwsDPXq1cPWvXvxTosWuFCnjthC6y2loskEu1qNTQMHAlu3iuxhen0B9/4GIkz+7jsc2bAhOEU4k5OD0UrAOOgy5smECWKyrAgPIfjkzJk8N7Vr1w7r16/HsnXrQL/+CmzZIqpeGAxwmEzI1GhEgnSLRRR4HDMGy6dNw7ikJKBJE5HAxk27BSH9nnswddo0NEtICE6DhbxcjoMuY+44HMDXXysrBV5UZGXlualdu3ZYvnw5IiMjERcXBzRqJKpPXLiADYMG4ZvmzcVSuI0bgbNngSFD8PAzz2Dr1q24cuWKaCQ6GqhcuWD7HhaGMp9+ik6dOqFq06bBCZh33aW8DQU46LLShyj/JUdLlxb/K9wcZcvmuSkhIQFHjhxB+/btb7+jTBkcvusunGzQQNRfa9z4ZqCzWCzo2LEjlixZcuvxQ4Yg28dE7QHR6UQ/AFFVQ+mKi7AwoGlTUW2je3eRe/eZZ8QEaXq64u76goMuKx3OnQPef18s9dJoxHikVitqeM2Zk/dqcO7ckPwSOlQqFOgCJqNRrLzIc7MRJpMJd7m56rt69SrKugnUANCzZ08sWLDg5r/tvXqBCurDyWQCvvzy1ljz/fcDlSopa9NmE1U2Jk0Cli0D1q4FfvoJGDZMJD4fMEAsDSxAHHRZyXbliqhcEB8PfPaZWIUgy+Jq1+kEDhwQOW2jo4GPPxa3A6GZbDEaoe3cGZrJkwtu6RYRMHBgnpuvXbuGrKysW0MFuVy9ehWRkZFum+vcuTP+/vtvXLp0CRs2bECDtm2xJCwM2ZogL4QymYB33wV69751mySJBOUBJjgnQPyfu1vql5kpbp85E2jQAFi/PsCO54+DLiu5Tp8Wv0C//SauZD2Nz2ZkiOOTT4BnnxW/kDnBt6CYzUCnTmL50uuvQ1qyBIiLg2wyIWgLsVQq8dU8OjrPXevWrUOjRo2w+Y76ZYD3K12TyYS2bdvi0UcfRd++ffHpp5/i8KuvIvmuu0RBSKWMRtHOF18AI0fmvb93b+CeewIqxOnTaLDLJX4WunUTk4sFgIMuK5muXxd77S9c8H25l9UK/Por8MYbbgOVYiqVuIKrVUtM0i1adGvZVadOQGIiVL/9BlX37nBaLHBKErIlCRTo5JHBIGqnubFq1Sr07NkTx48fz3O16ynoyrKMadOm4ffff8eFCxdw6NAhPPbYY3BIEn7s1w9o2dKnq1DSaABJglWthsNsBiIikKlSIbtcOeDDD8VQ0EsvuX+yTgesWSOq/Rbkxg6rVXxgFUCuBg66rGQaNUoEXH/HG61W0OzZ2JyeDj9zhuWl1QKtWonyMR06iPHCjRuBI0eAvn3zlmiXJKBFC+CXX6BJT4fa5cLSn35Cu8qVka7Vgvwpr2M0iqBet26eu4gIq1evRpcuXdCyZUts2rTptvvdBd09e/YgISEBP/zwA9avX4/09HRk3Miq5nK5QCYTsHo18O23OGaxwKnT3bbuVwZAFgsu6HTY/PjjwOXL6FmuHK58/TXw88/4okcPTHnvPTHe6uEq+6bISGDHDqBzZ/Gh5Wm9sNIJPpcL+P57ZW244ynnI3E+XVZcWa0+l3lxdzgBWqbRUMYdlQr8PurWDcrLycrKohnvv0+nVCqyabVez2lVqylLryfauFE8OSNDVJro0YOoTRuijh3pUo8e9GSlSkSyTBMmTKDXX3/9tvPFx8fT0aNHiYgoNTWVBg8eTDExMfTtt9+Sy+UikmUa/fDDdKxBA6KoKMpWq8mu0xFVqUKXXn2V6kVFUfbu3WR9912aFxZG+x94gL4KDyfatIkOHzpEUVFRdOTIEdLr9eRwOIiIaObMmdSzZ0//35zTp0WZnogIIp1O/L/n/Nm9u6KfAwKIKlYMqAQQOIk5K1W+/97/hOJ3Bl6djuSXXhK/wIG0YTYTzZ4d1Jd1NSWFvu/WjXaq1ZSt0ZAcHi5eZ86fsbGU/N//UrWyZenCX38RvfyySOJ9R+BxSRJlaTREd99NJ0eMoLq1a992nrJly1JKSgotWLCAKlWqRP369aNLly6JO1evJoqPJ4deT043rztbraZstZrkTp2od9u2NHjwYHI4HKTX68lmsxER0dixYykhIYHi4+NvnvPw4cMUGxsb+JvjconE5klJRFeuiH937Kgs4OYkUs9dWslHHHRZ6dKqVXB+2SZOJCpfPk9trnwPnU7U+bLbC+TlJSYm0uDOnal/2bK0uX9/cv70E9Hff9+8IpvWpw9larXe663dOGSzmdZrNHTh+HEiInK5XKRSqahjx45Ut25d2rJly60TT53qc5ULpyTRNY2Gsm+Uy6lVqxYdPHiQiER5ofj4eKqb65uAy+WiMmXK0MVgVniIjVX+c2A2E333nd+n9hZ0eUyXlTwpKcrbsNvFsXGjGEP0lpcgN70eqFpVrP8MYIbdF9WrV8eXK1ZgwIoV+H9HjqDRxx9j7fXrYkx41y68tGgRTA6HTykMpcxMtJBlqLp0gT0jA++//z6ICB06dMCePXvQsmVL8cAFC0RFCh/TKqqJEOF0QtuhA3D2LOLj43H8+HEAgEajwZNPPonExEScPXsWAKBSqfDAAw9g+/btAb0nbgWaAjI3pxNIS1PeTi4cdFnJE4x8qbIs2qldG9i9W/xpNued/Mqh0YjZ9AcfBHbtyn8yKAiaNWuGLVu2YPTo0XjttdfQrWNHONu3h+RnsNHLMsKPHcOsqlWxY8cOVK5cGcOGDYM2ZyLq+nXghRf8DmJSznP79UN8fDyOHTt28z6r1YrWrVvj5ZdfFl+5L17EcLsd9w8cCMTGAtWrAw88AEyZEvgmlWDkC87JQRFEHHRZyeNhYb9fdLpb7VSrBuzfD6xbBzz+uLiatViA8HARiE0msTJhzx6xJjg8XPn5fSRJEnr06IGDBw/ijZgYZKWmBtSOQZYxIDUVi1JT8X16utiE8O+/4s5ZswLPeeByAVu2oGFU1M0rXQA4ceIEBg4cCE1iIs42agTExqL11q2okJIiapmdPClWKLzzjtgp1r+/2Njij3vvFRsilJAkoGZNpa3chvPpspKnWzfg4EHldcvatr31d0kCmjUTy7DS00W6x8xMEWArVizYNaM+0Ol06Ji7llgAVLKMiB070B4QmxMmTRKbS/79V9lXdVlGq3378MO1azdvSkxMRMP0dDx25szNtt0O4OSUQZozB1i1Cti0CahRw+vprl69ivnz5+PA8eMYL0mwkILQW66cyKccRHyly0qel14S0yBK1KsnNjG4ExYmfvEbNBBfg4tC9YUDB4JbNsjhELv4/voLuHpVWVvZ2ai6YcPN4QVZllHmxAnEvf461Far+2Drrj8XL4oNGBcu5Lnb6XRixYoVePrppxEXF4fNmzej6//9H8wVKwbeb7NZXGkHORUkB11W8pQvL7JHBfrLYrGIr9fFSWKiGH8sotRpabh48SLsdjvOnzmDXxwOv8eeQSQ+AJ599uZNBw4cwNChQ1GlShWMGTMG7du3R1JSEubPn49HOneGNHp04GO7Oh3w/POBPdeLovu/xJgS48YBv/8u9tH7Q6cTV7hduxZMvwpKRobyq/sCJDmdeLRSJaTMmgXXn3+iXKANOZ2gv/7C7FGj8NXKlbh48SL69OmDjRs3opa7byYDBohKFwsW+DdEYjaL8fmwsEB76hEHXVYy1a4tcuJ27er7L5teL5Jyr11bpK8a3QoL87yyoiiQZcw6fx66IUOgttmgUvABkW23o/xPP+HTyZPRrl07qL0t55MkYMYMsS161qz8fxZ0OvHY1atFhYwCUIT/lxhTqF07sc42Ksr7FYtaLb6CNm0qlnsFY/VDqNWpU+TruJldLmitVkUBFwD0ADpduICHHnrIe8DNoVaLpWeLFwNt2ogx+DvzMlgs4mdk8GAxCdusmaI+eiORlzegSZMmtHPnzgI7OWMh4XAAv/wihhwOHryVIIVIBKoePUQlgcaNC7Wbit1/P1Bafl9VKrE6JZANKElJojTRiRNidURMjEhK1KNH0IptSpK0i4jcXipz0GWly6lTInWg1SoWvdeoAZQpU9i9Co5Fi4B+/UJWdqZQabVi3W6QNy4Ei7egW8wGrhhTqFo1cZRE3buLdcNFfFItKFyuApnkCgUe02WspNBqgQ0bROAt5DLjBa569aI9cehF8ew1Y8y9GjXEEqno6ALZtEEAXJKEQq2TXBzXUefCQZexkuaee4BDh0T14/xWbvhJMpmgnjkT6mefBRkMSJMkZBsMyNLrYVWrlec68IUs37ZBorjhiTTGSjKXC1i5Eti8WaS8PHxYJOYJNBNbrVqi3BCArAsX8GS1alg6cybURqNYTfDKKwU7kWcyiRSTH35YcOcIAp5IY6y0UqvFBpGcHXaXLomijoEERpPptkKXJ65dw7+xsVD36iVuSEws2Ak8k0kU8PzvfwvuHCHAwwuMlSbR0aLisb/5CEwmkV6xZ8+bNx07dgw1cmf8iooqmA0aOVWUe/US23mL6QRajuLde8aY/1q3BpYtAywW+BQi1WrgiSeAiRNvu/nYsWOomTvXbEQEUoORe1aSxKYHi0VsVnjiCZFH45tvfK/gUYTx8AJjpVH79sA//yC1fXtE3UgJ6XGRGRHw889i99a8eTd3bR07dgz169cHAGzfvh0jR45E1UuXMMVggC4rK7B+6fWiPH2dOuLK+ZFHRE7bEoSDLmOlERHw2WeISknxHGxzyLLYwbdqFdChA7B+PaDT4dixY2jYsCG6deuGPXv2YOTIkXhx2TJoq1YVuXgDERUFTJ1a7IcQvCm5r4wx5tmkScCsWf7ltLXZREKg/v1x5MgR/PXXXxg1ahTat2+PY8eO4aWXXoLWYAAWLhSZuvxlMonnluCAC/CSMcZKH7tdJHkJsMpttlqNhPBw7EtPx5UrVxDuribc4sVA796+l0wymcQkWZcuAfWpqPG2ZKxkf6QwxvL6+WdFS7tUAH596CHUqFHDfcAFRMaudevE2KzJ5P7qNSel5n33iRScJSTg5oeDLmOlzbhxijYwaFwuRC9bhnuqV/f+wObNxc64TZvEUrPwcBFo1WqRHaxXL+DPP4F9+0RaylKCJ9IYK02IRBFLhWQiNIuK8u3BTZqIVQ855wdKfkIeL/hKl7HSJCMjKBNVLllGjeho/58oSaU64AIcdBkrXfR6sQRMIVmWUTEuLggdKn046DJWmuQUXlRI43KhUnEvb1RIOOgyVtr06qW42vFRScJdpWjyK5g46DJW2rz5Zt5quH5wmUyYW7kyVCV8E0NB4XeNsdLmnnuAe++FHOCElgvAKR5aCBgHXcZKo/nzYQtkiMFoxIJnnkFcrVrB71MpwUGXsdKoenU8U748XDkbFnxhMgFz52Kdy3V7Hl3mFw66jJVCycnJ+CMjA9LevbC3aYMsAHQjZWNupNGI1Q733y9y2j7+eN7k5cwvvCONsVJo27ZtaNasGVRxcRiTkAB7hQoYX706MGcOcO0aIMu4lJWF9NatUX3iRJFD4QYOuspw0GWsFPrzzz/RokULZGRkYNq0adi2bRsQH39bDbR1P/6IGTNmYH3t2sDJk8ClS8hIS0PlzEzcFchuNAaAhxcYK5W2bt2K5s2bY8aMGWjbti3i4+PzPKZHx45o+PffyK5WDahbF+jYEYbHH8cfWVmQKlYEPvlEFLpkfuF8uoyVdJcvA7Nni0Q3qalwhYdj2Ny5GHX0KOq1bo3FixejSZM7Ur/+8APw8suwOxzQOxzu2zUaRQKb4cOB0aNLfU6F3LgEO2Ol0c6dwNixwIoVIiDeSCiuBvCxJEFbqxa+K1sWTe6cQPv8c2DkSMBqRd6ptVxyEpRPmACcPg18+y0HXh/w8AJjJdHkyaLq75Ilol7ZHRUcjETQOBxod+kS0KyZmEADgEWLgPffFzXRfGW1iqoPucaDmWccdBkrab76Snzlt1rzzSimyik6+fLLwKxZwKuv+l5iJ7fMTJEc/fLlADtdenDQZawk2bYNePdd/65UARFoX37Z/+flJknAjBmBP7+U4KDLWEkyZkxgV6qAKFipJOjabMAXXwAuV+BtlAIcdBkrKc6fB9avV1R0UrHMTCAxsfDOXwxw0GWspCgKqwc0GuDq1cLtQxHHQZexkmLvXrFSobD5mkCnlOKgy1hJkZpa2D0AsrMBX6sEl1IcdBkrKcLDC7sHQKVKQGxsYfeiSOOgy1hJUa+eqPZbWCwW4J13Cn9cuYjjoMtYSTFggPI2lARMWRZFL5lXHHQZKykqVwYefDDw56tUQIcOokKEv0wm4JtvALM58POXEhx0GStJRo4MLGgCgMEAjB8P/PSTf20YjcBHH/FVro846DJWkrRqJdIs+ht4TSZg4kSgQQPg0UfFJovq1cWVq6chh7AwsVJh9mzgrbcUd7204KDLWEkzbNitwJvfGK0kicd98cXtY8LNmgHHjwNr1gDduwNaLaDRQFarIQNAy5bAvHnAxYvAk08W5KspcTjoMlbSSJJYRbBmDdCpkxg2uHNVg9Eobu/eHdi4EXjpJffttGgh0kPa7UBqKvZv3IgG994LbNkiroh5I4TfOIk5YyVVy5bAypXAuXPAd98BBw8C168DkZFiGOHFF4GYGN/aunFFXLVuXZxMSgIRQeKlYQHhoMtYSVepkphgC4LIyEio1WpcuXIFUbzzLCA8vMAY80tcXBySkpIKuxvFFgddxphf4uLicPLkycLuRrHFQZcx5hcOuspw0GWM+YWDrjIcdBljfuGgqwwHXcaYXzjoKsNBlzHml9jYWJw6dQpyPuXdmXscdBljfjGZTChTpgwuXLhQ2F0pljjoMsb8xkMMgeOgyxjzGwfdwHHQZYz5jYNu4DjoMsb8xkE3cBx0GWN+46AbOA66jDG/cdANHAddxpjfqlSpggsXLsDhcBR2V4odDrqMMb9ptVpUqFABp0+fLuyuFDscdBljAeG8uoHhyhGMsYDExMRg06ZNiIiIQGRkJOLi4qBS8XVcfjjoMsZ8ZrPZMH/+fIwbNw6JiYlQqVSYOHEinE4nLBYLhgwZggEDBnApHy/4Y4kx5pOFCxciJiYGgwYNwtGjR+F0OpGdnY20tDRYrVakpKTgww8/ROXKlTF69GgQUWF3uUjioMsYy9eUKVPQt29fZGRkICMjw+PjbDYb7HY7PvvsM7z44osceN3goMsY8+rXX3/F0KFDYbPZfH6O1WrFwoULMXr06ALsWfEkefskatKkCe3cuTOE3WGMFSWyLKNy5coBp3E0GAw4deoUYmJigtyzok2SpF1E1MTdfXylyxjzaO3atUhPTw/4+ZIkYfr06UHsUfHHQZcx5tH48eO9juHmx2azYeLEiXC5XEHsVfHGQZcx5tHmzZsVt2G323HkyJEg9KZk4KDLGHPLZrMFZfWBWq3GtWvXgtCjkoGDLmPMLZVKFbQlX7xT7RZ+Jxhjbun1emi1WsXtOBwO3qGWCwddxphHjz76qOKr1KioKNSoUSNIPSr+OOgyxjwaOnQojEZjwM83m80YNmwYJEkKYq+KNw66jDGPmjZtiooVKwb8fFmW0adPnyD2qPjjoMsY80iSJMyZMwcmk8nv55pMJkyePBnh4eEF0LPii4MuY8yrpk2bYuHChX4FXpPJhBEjRqBfv34F2LPiiYMuYyxfnTt3xvr16xEXFweLxeJxjDYsLAyRkZH43//+h/feey/EvSweOOgyxnzSrFkzJCYmYtWqVejWrRs0Gg20Wi10Oh1UKhUeeOABzJo1CykpKXjuuecKu7tFFleOYIz5TJIktGzZEi1btgQRISMjA06nExEREbwBwkccdBljAZEkCWFhYYXdjWKHP5oYYyyEOOgyxlgIcdBljLEQ4qDLGGMhxEGXMcZCiIMuY4yFEAddxhgLIQ66jDEWQpK3chySJF0CcCp03WGMsRKhGhFFu7vDa9BljDEWXDy8wBhjIcRBlzHGQoiDLmOMhRAHXcYYCyEOuowxFkL/H2YXgIu/KKWJAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "m.objective_value : 19.5\n", "nombre de sommets dans la vertex cover : 38\n" ] } ], "source": [ "G = nx.generators.random_graphs.gnm_random_graph(40, 80)\n", "pl(mip.BINARY, G)\n", "pl(mip.CONTINUOUS, G)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "interpreter": { "hash": "aaf780fa6a3c489164849bc48a9be06e2cc313739378982f130fd10499b185f5" }, "kernelspec": { "display_name": "Python 3.9.1 64-bit ('3.9.1': pyenv)", "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": "3.8.10" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }