diff --git a/tutorials/in_depth/In Depth 4 - Drawing multilayer-style.ipynb b/tutorials/in_depth/In Depth 4 - Drawing multilayer-style.ipynb index 8fd94712..6304b9b3 100644 --- a/tutorials/in_depth/In Depth 4 - Drawing multilayer-style.ipynb +++ b/tutorials/in_depth/In Depth 4 - Drawing multilayer-style.ipynb @@ -43,7 +43,7 @@ "metadata": {}, "outputs": [], "source": [ - "H = xgi.fast_random_hypergraph(10, ps=[0.2, 0.05, 0.05], seed=1)" + "H = xgi.fast_random_hypergraph(10, ps=[0.2, 0.05, 0.05], seed=2)" ] }, { @@ -54,7 +54,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -102,7 +102,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -145,22 +145,9 @@ "id": "f7a86466", "metadata": {}, "outputs": [ - { - "ename": "ValueError", - "evalue": "The input color argument must be a single color or its length must match the number of plotted elements (10).", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[5], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m pos \u001b[38;5;241m=\u001b[39m xgi\u001b[38;5;241m.\u001b[39mbarycenter_spring_layout(H, seed\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[1;32m 3\u001b[0m ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39maxes(projection\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m3d\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m----> 4\u001b[0m \u001b[43mxgi\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdraw_multilayer\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43mH\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m \u001b[49m\u001b[43max\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43max\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[43m \u001b[49m\u001b[43mpos\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mpos\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 8\u001b[0m \u001b[43m \u001b[49m\u001b[43mnode_fc\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mred\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mwhite\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m9\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 9\u001b[0m \u001b[43m \u001b[49m\u001b[43mdyad_color\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mviolet\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mk\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m12\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 10\u001b[0m \u001b[43m \u001b[49m\u001b[43medge_fc\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mb\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[43m \u001b[49m\u001b[43mlayer_color\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mb\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mg\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43my\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 12\u001b[0m \u001b[43m)\u001b[49m\n\u001b[1;32m 14\u001b[0m plt\u001b[38;5;241m.\u001b[39mshow()\n", - "File \u001b[0;32m~/Documents/GitHub/xgi/xgi/drawing/draw.py:1461\u001b[0m, in \u001b[0;36mdraw_multilayer\u001b[0;34m(H, pos, ax, node_fc, node_ec, node_lw, node_size, node_shape, node_fc_cmap, vmin, vmax, dyad_color, dyad_lw, dyad_style, edge_fc, edge_fc_cmap, edge_vmin, edge_vmax, alpha, layer_color, layer_cmap, max_order, conn_lines, conn_lines_style, h_angle, v_angle, sep, rescale_sizes, **kwargs)\u001b[0m\n\u001b[1;32m 1458\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mdyad_lw cannot contain negative values.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 1460\u001b[0m \u001b[38;5;66;03m# parse colors\u001b[39;00m\n\u001b[0;32m-> 1461\u001b[0m dyad_color, dyad_c_to_map \u001b[38;5;241m=\u001b[39m \u001b[43m_parse_color_arg\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdyad_color\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mlist\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mdyads\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1462\u001b[0m edge_fc, edge_c_to_map \u001b[38;5;241m=\u001b[39m _parse_color_arg(edge_fc, \u001b[38;5;28mlist\u001b[39m(edges))\n\u001b[1;32m 1463\u001b[0m layer_color, layer_c_to_map \u001b[38;5;241m=\u001b[39m _parse_color_arg(layer_color, orders)\n", - "File \u001b[0;32m~/Documents/GitHub/xgi/xgi/drawing/draw_utils.py:151\u001b[0m, in \u001b[0;36m_parse_color_arg\u001b[0;34m(colors, ids, id_kind)\u001b[0m\n\u001b[1;32m 148\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mInvalid input format for colors.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 150\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m is_color_like(colors) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(colors) \u001b[38;5;241m!=\u001b[39m xsize:\n\u001b[0;32m--> 151\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 152\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mThe input color argument must be a single color or its length must match the number of plotted elements (\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mxsize\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m).\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 153\u001b[0m )\n\u001b[1;32m 155\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m colors, colors_to_map\n", - "\u001b[0;31mValueError\u001b[0m: The input color argument must be a single color or its length must match the number of plotted elements (10)." - ] - }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -178,7 +165,7 @@ " ax=ax,\n", " pos=pos,\n", " node_fc=[\"red\"] + [\"white\"] * 9,\n", - " dyad_color=[\"violet\"] + [\"k\"] * 12,\n", + " dyad_color=[\"violet\"] + [\"k\"] * 11,\n", " edge_fc=\"b\",\n", " layer_color=[\"b\", \"g\", \"y\"],\n", ")\n", @@ -204,10 +191,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "13c8efbf", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pos = xgi.barycenter_spring_layout(H, seed=1)\n", "\n", @@ -232,10 +240,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "c9566bd3", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pos = xgi.barycenter_spring_layout(H, seed=1)\n", "\n", @@ -267,10 +296,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "605b3b3b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pos = xgi.barycenter_spring_layout(H, seed=1)\n", "\n", @@ -302,10 +342,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "f50cd066", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pos = xgi.barycenter_spring_layout(H, seed=1)\n", "\n", @@ -327,10 +378,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "60c6e256", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pos = xgi.barycenter_spring_layout(H, seed=1)\n", "\n", @@ -360,10 +422,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "663d6f13", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.axes(projection=\"3d\")\n", "xgi.draw_multilayer(H, ax=ax, sep=0.4)\n", @@ -381,10 +454,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "5d8da6ee", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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m/vKXv+D222/HMcccgyuuuKKX787IpaoqfD4fNE3r/s6DiKOPeigXN6wBgMcffxzf/va38eMf/xirVq2Cqqr46KOPcP1Xr0cgz4tfPHAHIEkwLROxZAtM3YJpmGhfkjif9kQiiW3vfgJTt3DsKbMQzAs6weEWGuLkWRJlYuvQu66P1alVmLDSX7Zlp2sV2e+nJMlQZQ0exdvjM9vWArnNkFB3mGfGSCAMYAHdG+7TO8cqjiqjWSq36HET0boU8ip8kJXW2kfHtRQAkKEpXuT7iuBVfJBkGYqkQpFlSJICpU0zyCdbd+H6q27Eo48+iiVLlmTdtmrVKlRVVWHdunVD82KHkSzLot8gF7Cm0IVcaB7qzhVXXIHt27dj9erVuOuuu1BYWIjdu3dj3KSx+H8/vRUAYOomEskkmmojUL1qJ2fSTonl83kwf9Ec2IYFf9ADq1evu3Vctmg5krKvcya5qVAkFZCdYLHgdHjLsgyP7AEkOd1B3POCu/UMPuPsvZNAscV/kB0YHdRCBjJApMzDkrL/DQaiWWqgKV4ZoTJv1qF2V0vRzSRiqRZoigea4kV2a58EGUp6XoqCDz7aCADtlmFxr7vrrrsG8uXkHEmSRL9BLs1VYCi0MRD7GQ+1n/zkJ/jyl7+MZ555Bs3Nzbj0+vNx4hkLIEFCPJYCbBumYSARNeCXpG6bV3zBvv5ZZIy/zzwr7pIEr+JDvq8EPi0Adxa0ZdswLB26mYRup2CYOgxLhwWzwxqLZdpoqY0hVOSH5uu6LTZj4i8UN0S6+Ex2VQsR/+tnLaTHzVLp/ggxuNcGMEi1DFmWIHv6UljZ0M0kTMuAR/VBFb3UNiwYkGznH6+ozGlq2r59O44//visR9i+fbuYZzMaDVcnck+w+SgtV5uHeqO6uhpHjx6FmRdFJNGUdVvKSMKwkj16HMsEYNuQ1cE7e5Egw6+FEPYWZHVQdsc0TaTMJFJmHKZpIGXpMK0ULNNCrDkJX9AD1aO0LvnQRY1FBIuU0b7evm+519xPlFsLaZ21PDi1kOxmqYGrZZi6BT1mwRtWIMl9e1NsG/CoPgQ8YWiyCkWSgXRBaJkmvr7iNpSPqcBfH/orCgoKAACvvvoqrrvuOnz/+99v11c20mmaBp/PNyTzDfrqMx0Ko2U/Y7eZK5FIwLIsHI3sR12sKus+SSMJs4ehEGlIwExayC8PDPixSpKKoCeEsKcQsjIwZ0m2ZUM3U9CtJFJmCoaZhG4ZsO3+/JtKHQdLZqAMQLD0rBbi3rP3BXx/Or+NhIlYvY5QuRdyj0MhvWRJ5igoCZAkBUFPPjxq9gS3ndt3445v/gKWYeGMM85AVVUVPvjgA5x77rm4//77h73TdaAoigK/3z8iXs9nMhRGy37Guq6Lr0yNsVocaNqZdV1Dcx1qKxvhCagoKs2H0kWBbKQsWBbg8Q1c1VaRvcjz5sOvhfp81tkl24ZpWJAVWTy+ZZrO0EgzCcNIiVrF0LXPD3ywDHQtpPs5GV39sjuPInPxw65/xaP4EfSEIWU0m9RV1+Ph+57E/p2VGF8+HitXrsR5552Xk00rvZVrncg9kbt1mAHW3w1rcoVbK+iomSsajSISiaCwtABItx4Zuo7Nmz9AykpAsT1Ak4XquiMoL69AcXH74YOAMz59YEjwKn6EfPnwaQNf68hkGhYqDxxFaUUJfAHnAygrCnxKIOu5bcuGaelOE5SVgmEkkbIM2PZg9B9lnOX3uI+lrbbBkjHqSwSLDEkCZCk9e1puvb+Ermshzj3TASJlH11m57dtWemwdVdl7VszW8qMIxVPIqjlwevx4eMPP8VdP74XlYeOAgB2fbwLpmmKJVtGqlztRO6JUR0Ko6V5COi8VpDJsiwkEgl4ZC9UWYVhGfjggy2ob2zEMQtnIz8/H7puorqmCocPH4amacjLC7V7nFTCgm1Z8Ab69ufR1/6C/pAVGaUVxfB4un4+SZagyh6oqgeZMWVZFlJmErqZhGE6oWFaeg4MFR3AYGm7vpM7qU2M2rIBCbAlZ8Ra7dFaxJp0FFXkobSsxAmF9KKA7iik1lVdbVjptaWQvkfnLET1Rhw6HMUd3/gF5s+bj9//7l5Mnz4dGzZswOrVq3HNNddg3bp1I65ABXK7E7knRmUoDMaGNcOhq1pBR8LhMMLhMADAr4ZwtP4QqqqrsPDYhSgoyINpWFAVBePGjUUikUBtXW2HoaAndBgJs9ehIEkqQp4wQp6CAesv6PFzyxJ8gc5n33ZHlmX4ZD98mj/resMw0rWKBAwjBd3Sez1cdvi11hBar8kkQZY0KJIzSe3AoYPYsf0jyJIKn+bH7r074Qv4cNJJJyEvLx/u+AM7vaeGDQtIB4YzmMtKDzO2nBnuGUuDuEt/A8BLT78Cr9eLhx9+WCzEeP7552PMmDG4+OKL8frrr+Oss84a9HdnoIyETuSeGNlHn2G0NA8BPasVdMevBdHY2AwAKCsvhW4n0FwdgxpQEAh7EQ7nobampsPfDRb0rv1Tlb0ID2Z/QQ801DfgaGU1CooLUFExZsAeV1VVqKqKAFpXj7UsZ8ilbqbEpWHpsDHwc1lM00Y0EofP74XH0/9lD2wbzjwR2QkAWVKcWkI6w+vrGrB923ZMmjQZs2fNhKppiEYi2LT5A7z37rtYeuZSSO0C3/03l8WlnPGT+8SivwLOvJQDHx/F2Z87G4qiIJFIiCU5Fi5ciIqKCrzzzjtYsmRJTu45kGkkdSL3xIgOhaHcsGaw9bZW0JGmpiZUV1djxowZCHrzoHqcf954IgHVCwSL/IBkI5HQkYgbUBUfmpoSkGQ4ew5Izj4DTtOxnF4DSIIsQ9zW2grh9hcUtDu7HkqxaAzPr12L3bt2ozBcguZoI8aMKcby5ReipKz9qq8DQZYleGUfvFp2zcQ0DaTMFFJmHIapQ7d0mJaOvtQqTMPCy0+/jg0vvYOmhmZ4PBqOX3wsLrzmPOTl93z/aWc7VQ2K5GxM5PQ7dH7//Qf2IRQMY/7cebBtC4ZuIBgMYuGCBXhjwxs4Wl2Nioq28wek9KTEzE5nGa1rL6X7PdyRSekNlfJCeWhobEAymT0qLplMIplMwuv1oqWlJes2t0kmc/+BzGaaodzMZiR2IvfEiAyF0dI8BAxMrcDl8/nEUtdBTwilxSXweLzYs3s3ZsyZJkYTOctlNyEvXOBU6a3W0SyJeBLRphgs00agwItAINjmwyRBtjzQrABSioqYFIOqxqEosnP2qSlQZOfsSVFk8eUukzCQbMvGo488huZIM5Z/aTkmTp6A6qM1WP/6ejz08EO48WtfQyA4uB3cmRRFhV9R4Ud2x7Zbo3A7tnW7++GyD9/zNN574wNceumlOPnkk7Fnzx488ugj2PfJ/fjOf98Ef4dNZe5scacGoDhp3nqz5Zx82LYN03JHJ0nihECRFDTUN6GosBiqoiER1dFcF0XF5HIEisOINsTRUNWEWZPniJVbna6Jvv3bLl56Gn7/6/uxbds2zJ8/X1z/2GOPIR6P45xzzmn3O+4JU39aAzKDJXMDG1dPdkobqZ3IPTFiQmGw9zMeSgNRK+iI1+sVZy2ypMLvCWD+/PnYvmMbsNNCwJMHCzpaos3QVA0VFaUwLSCZSMGyLdTX1yMej0OBB7IloamxCS3NEZSUlkBVNEi6FzB9ACToAHQ91eNjkwAosgxFdcJClSVIqrMMtqookBQJqixBVRXIsgw1HSRdNUft2rkLR48ewapV12LchPEAgIKCAowbNw7/87v/webNm3H64tP78Y72nyRL6Y5/D7yWDVO2nAEQpoGUEUfKTMG0nFqFDQOWbaNy3xG889om/PCHP8RFF10EAFi6dCnOPfdcrFixAq+/+A7O+NKpUCQFEpzmHxmq02gjS7DTlzKcGqAst56ha7IKVZOgqprzvrc5g041GzjUcBhLF38OQc1CXjAPXo8H0UgcdTUN8PuCUJSBKTaWnrsEr770Om688UYsX74cU6dOxdtvv4033ngDX/nKVzBhwoQBeZ62+hMs7gqm7ue37c5oQM9CJZfDJKdDYTQ1DwEDWyvoyIcffoj6+nrMmDED48aNg08NoKKiHF6fiqqaKjTVNUP2AMWlJSgpKYGqylABeDQfjlbVIBGPo7ioBD6/cxZqmiYqDx7Fx1v245i5izIGI/aeDcCwLBip3n0QFUlyahqqAkWSoaqSqJXs3LUfhUWlKCouQzyaRENtIwqK8xEM+TF1ylQc2H8Ap512GizTOTO2LKdANk0LpuV0epqmBduyYVgWbNOCZdmwLMC0nRFYlpn+PdsWt9mW8/tWetVXsfeB+72YdyCL72VZgiLLkJV0MEoSFEWCogTgUWWENCccFdnG2x9tRjgcwvnnn5/1XkycOBGLFy/G7q37cO11X8meJDZAZcyChcfimafXYPvW7Zh3zDx4VS8sw8LLf3sJiqpi7ty53T9ID3m8Xtxzzz149K+P4fnnn8ezzz6LKVOm4I477mj32oebqqrwer2iE7m/J3NdbbnZ9va2TWWDPaopJ0NhMPczHmqDVSvItHXrVtxxxx1obGxERUUFduzYgTPPPBPf+O7NAIBQOAxf0ANM7vj3JQloamxAOBxEQUEIiaQO6CpUIwQ/LHy0dyMmjW1GfkF+t8fijmSX03sgt9W6BWd6MIyE9B7MgGmYsGzbKZBN2ynM08t8m1a6kLbShbNto7FJgiSXYv1r25xJWIYO3ZCQiANHDnshKX489vB7kFUZmiZDUWVoquKcKSsyNE2FqsnQVBmqR4HHozi3e5zlGFSPDElVoMkKFFWGokhQFQWyIkNVnQ9na7OYs9ib4u4DLcmQ4dR6ZEmGLCnONjmy7NxHUlqvb7M4XnHwH1BVrcP19L1eL0zLhjpAZ+ttzZkzFzuP3Y01a9bgvffeQ1FhCfYe2INYNIILL7oYPt9AtZ9LKA2Ww6sGcNNNN+Gmm27Cxx9/jIqKCuTnd/93NlTcfoOB7kS2bbtXZVvmDmyDLWdCYSj2Mx5Kg10rcFVWVuLrX/86pk2bhu9+97uYMGEC3nvvPdx111349S9/i+u//WXYPejoTKVSyM8rhh7XEKmyYCQMeEMmPB4/JMWDhsYIJElrnQFru7NobbE/g1NwA2b6DNvd6tIZhdi6vIJlZ3wo0h8MSZbSbbxOkwdkp61blmRIMqDIrWdOmuYUyKWlhaiqqYRlJVBePib9GBIiLREcqqzB9CmzUVJUDFVVOz+RNgHDBIwkkJRsSDChKrYTGKoCj8cJEs2jwaupgKrC41Ehqx54PSo0aPB6NWiqJo6rv04++WTcd9992LBhQ9aOeg0NDXjjjTdwwWXL+/0cnZFkCRecfz7mzJqNrVu2IR5JYOb0GTjhxBNRWlYyYM9T5C+DV23te0kkEigsLMyZQHD7DTwez7A39Xg8Hvj9/iGb9zCsoZBrG9b011DUCtp67LHH4PF4cM899yAQcD5kF1xwAUpLS3HrrbeicEwY/pAf8xbNhGx7YAKwZUBPmkjpJvSUiVTSRt0RL6r2NiA/D1AUwOvREElGEI1GoCoB6DrQ1ByDmPiE7D5MWQIkSYYsO1VtWU6PQJGl9MgXCZLidmg6Z92S3L8O6KLiEOrqjuLTTz9CNNqEwsIiNDe2YNeu3QiH8jBz2lTYUBCP6NBTgNfjgUdVIKVn/jpn6E5nY4ddFyZgxAEDQNzpRen2mGRZgqqo0DxO34nHo0JVFKc2kg4aVZWhaQo0TXVqJqpTa3GXHlm4cCFOOukk/OAHP8BNN92Ek046CXv37sW9994Lv9+P66++AT6fhuZEI8weHFNvSbKEmbNnYubsmQP+2ACQ7ytG0BPOuk7XdUSj0UF5vt6QJAkejwcej2fYJ5+pqgq/3z/k8x6GZe2j0dQ8BAxdraAjV199NWbOnIkf/ehHSCaT2LfvMOoa4vjf3/8a27dtTjc3WDANA8ecsBCnnrMEkio7Z/uWBBgKYMlobGpCbU0txlZUYNKUCng1DYlEAhs3bYRHU3Ha6UPQYWsDYkqtLacv3e/Tzea2nL6Pc2lZNt57ZyM2v78JhYUB1NdHMGvWHJxxxhnweFsXX7NtINISh25YUBUZobAfw/yZb0eSnOYpzaNATyXx1JN/wjvv/gNmuj9t7tz5uOXWb2LK5KlQNQWqIkFHHHGzGbZkDtsckd4IafkoDGQvX/Hiiy/i0UcfRTKZhGVZ+PznP49rr712yId6upPPhjsMhnuo65CFwkjYsKY3hqNW0JHrr78eRUVF+NWvfoVoNIpX1m/Eww//FYcOfIQf/ehHOPfcc5FKpfD444/jt7/9LRadsQSzj1kABSoUxTmjd87agaNHj6CxuR5BnwqP5kF9YwP8Ph9OPOlEBEJth6Z2wkb7Aj1d0Es2nOuQvh0Z39v96cZ2Cv1kMgaPx9/tip7xuI7m5igACXn5Afh9uTvpKNrSgtq6aoRCYRSXlHV4HxsAlCQkXwqqakNSZChyeoRX+vvMocFqusNbTl8vy1KHNbZ4JI7mxijGjB+YZiOfGkBpcGzWdXfffTcefPBBLF68GIsWLcKhQ4ewdu1azJkzB//7v/87JBPC2nYiD6dcWCJjUN+F0dY8BAxvraAj55xzDn7zm99g165dmD59OspKi7Fn1xZ84xv/hi984QsAnPkL11xzDXbu3Il3N27CrJknImUDtmWkt8R0RudIZh4KgyGk4hHYpo2i0BSUlJSg9ogBRW5xxr6LQkZ15iJIMmRFdQoaMTkq3bzUuhNOr5aT7gtJAny+ns1J8Ps1+P0FMHQLDY0R1NQ0IxTwIS8vAFXLrbPtYDiMYDjc5X0kADC9sKNe6EoKtpYAlN79fbpDht3RUaokwTRNGMkUlOoWJ0QUCYqcHg2mODUVuYdNgB7Zi5Jg9qS3gwcP4sEHH8Qtt9yCSy+9FLW1tZg2bRqWL1+O6667Di+88IIYkjsYBqsTuS+Gq6mow2MZjAd1F2Yb7rPogZIrtYKOXHzxxVi7di2uv/56XHLJJUgmDViWKToo3QAzTRMnn3wy1q9fDyslwaN5nZJUAdwxQ+GQD8VFeUildOi6Bd1IX8YMxHWzRyuJKu4ZaLqwkNOFiKI4o25k1T1bdfbuVTQJiqykZ7mmj6UPoWLbgKHHoSjeHq+7pGoySkvzYFlAc0scBw/VQtMUFOT7EQz5BzXEesqygHi0Hl5fCKrm6fK+Tjh4nC9Fh63FAaVntXJ3yDAsC9Azh39LqKlv7vb3FUmCkp5j4pw0wBlGLMvQFBWFnnxUx1qgaorTn6IqePnlv8Hv92PlypWwbVus23XsscfilFNOwcsvvzwooZBLncjD3VTUkUEJBVmWEQgExAiTjr7cwrWj73s7XGuw5FqtoCN+vx/33Xcf7rvvPvz9738XZz179+5FSUlJVogdOXIEiqJClXyAlV1wSpKE4qI8aJoMTXP/QLOXr9ANC3rKQMowYeim+F5Pte5LYZrOPIDevmOSOx9BkZ2zUVl2JrSlQ8Zp6midoyCGhaaXTLBtC5FIIwKBfKhw5lm0DZXMy0yyDBTk+1GQ70c0mkRDQxRHqhqRnxdEfn4AXu/wnb1JEqCoGiSp5+seOeGgQTI12LIO25MAlN7P87EtZ7SY1IOagGnbMPUOnsMGpEQ+qq0j7W7auz+KouLZeOvtnZAVGV5PAn6/H+FwGEVFRTh48GCvj7krzsg1DV6vd9j7DXJ5VvSg/rX3d+Ze5sxDt9DJDI3uvvr6nLlaK+hMKBTCt7/9bdx4442ora3FN77x73jwwQcxd+5c+P1OwV5VVYU1a57F+ImzO/xAhPJ80DTnel1PwjR1+HzZK6hqqgytzZLTLt2wnZpFyoTeSWB0xdkbOz0+tBeciWGttZPGpkbRTt4aIM76TYqSPpNVFChKxqQgMbsC8HlVVFQUQNd1NDRGsXdfFbweFQUFIeSFA1AGcYvSzl6fz99181GXv29pkBIabNlwag5qz8PBSCaRjCUQKi7o25PbgJQIQ7I6LoDHjx+Pf/zjTezbfxCzZk7FlMnj4ff7EY/H8c9//hPLlw/c0Fs3DDqa+zHU3FnRuXAsHRm1O6/1ppbizpx250mMtLfE7bdxX9eTT/0ND/3lbvh8PpxxxmIkEgm8+eab8Hj8WPq5K+Hz52X9viRJmDSxtDUUjCRMo30o9Pn4DDs94syAng4KXbegp3RYw/he96R2IklALJpEJJqAbdkIhf0oKAwg6PdlN3O5872lts1f6e+6qKl0xbadExX3WPrLCYcEoHZfl7NNC5ZhQvH2rc1dSgQhmZ03eVkW8Ic/PIB4LIavXn8RpkyZCFmWcdddd2HHjh14/PHHMW7cuD49t0tRlJxZztptQcmFPoyujNpQ6ImultvuTW2kbdAMxVvqbiCUGWLudXv31+Gll9/Gzo/fQ23tAciyjKLiyRg3djyg+JAfLoHP39o0lJfvx5jS4Zk0ZBiAbuhI6SYMPR0cugVdN3pdU5OkJGxbQ5tFmwdMMqkjHk8hqZvwaAoCfg9CIZ+YY9Bl7cTtY5Eyd1LrPlRs20Q0Wgu/vwCq5huwfg5bNtM1h8FpGpWSfkhG9/tbRFqieO7Zx/DRR++goKAADQ0NKCsrw3/+539i4cKFfX7+XOpEzuWmoo585kJhKEZE9TQ4+tLs5QZZR2tBxWIxVFZWoqCgFM+tfd95LkvHjh07cORoLRRVcY7DtDB+wnjMmjnTqSVMKoWmthak7hEM95+vGxi6bjo1jKQO3bCQSnUcGIMdCuK4TAuxWBKJpA7bArweBT6fB16v1m2h3VXtRJEVZ2e4dNOWoqSXnoYJRfOkJ9j1IFTSlz2pqdiyCVtNAFr7xQ0t3YRpGND8vewETfkg6z1bTt3j8eC0U2bgtdfWY+/evZg+fTrOPPPMPrf551InMuA0FQUCgWHvw+iN4a9TDZGh3ISnv30pHTV3uc1bpmmKDrO29/P5fJgwYQK8Xi80jwo9ZeCTT/eguqYB8+fPQ1nZGNi2hUOHD2PXzl3w+/w45phZWYEAAHoqjlQqjlCoqL9vRb+oKqCqWofzCEzTHQhgir4LXfdANwyYxuD++6qKjLywH+GQD7F4CvF4Ck3NcUhyAj6vBr9fg6Z23F7c374TRTRtSb2onWQ9UvtQSXpgywqgJZ2agwQkEklUV1bC0E3kFxeipLQUktyDZbIND6QeBgIApJI1+PKXf4TKykoEAgHEYjFcccUVuOWWW3pdkHo8npzoRAZG9sY7ozoURuo8CTdUTNMUs79t2xa7gHXHtm2UFBfg4KEa1NVWYfqMqSgvHwtJSgK2hEkTJqGlJYr9Bw7gzCUnQpLk1vWRbBuK4oXXO/wfrK4oCqAoGnwZgeHWcCwL0HXDCQrDREo3YOjO5UAGhiRJCAa8CAa8SCR0xBNOQMTjKaiaAr9Pg8+rdTuZrvvn0WHbqhjZ1ZfjbFs7kVXnUpFbly2XZRmKqmLXge2orN7vLCQoK9i9bw+CoSAWLFgIv1gQrzVcRMhYKqSkFxLMHtVUYrFG/NfPvov58+fj5ptvhqZp2LJlC/70pz8hHo/jtttu69Hry6VO5MyF63KhptIXozIURvrWnG6Q9Xa5cF3X0djYiOLiYpSW5OOTj/fDH/SirLQIkqRAklTnQ2qrKCkpw969OyHJgOZpbR6wbRtOMdu6Ybx76W6p6N4P4n6tgTJcDMNEY+NRBENF8Pv8ULwqfB0MJTUtwNANJzR0E0nDgJFy1oEye3n2nsnncwIqpZtIxJOIJw20tJhoiSTg11R4/c7Ceb1nQ4IOGwr62qDXm9pJdW0ttm75GNOmT8G0uePgz5ORSMZx8MABbP1wB2bNmoWaqirs2LIFzc0tKCguxIJFC1FWOhZS0gtZSkFRu5qdLqVrPQo2vLEO48ePx5133glZllFdXY2FCxciGAzi3nvvxbXXXovSUmdJjI5q37nUiQwM/cJ1gyU33s0BMFJrBS7btsXop74GmWEYaGpqQmFhIcrG5EPzelBd1YLGCSmU+wDbbh0JEo9GYZtxqGp2QeXWUCxLh6Z131HY0etovbSzrmsNlcygQVYtpbdMC3j77bewbeuHUBUZKV3HlKnTseSMMxAItG/GUGRA8aodzj0wLSdcdF2HnrKQyhhia/QwMDyaAo8WQMiynaalRArxlIF4yoCsJODzeeD3aVB7OMEOkGDZQ7d73KEDB1FYWIjJk6bAiBqIxE1owQDKx1Tg0OFD+Ofrb2Dz22+jpKQE06dPx8effIIt727EiSd/AVOmLGg96szaiSKlJy621k7GTyjGtq07sGzZFxCJJCDLElKpFBKJBM4991zcf//9ePfdd3HWWWdlvxvpPQXcZSkyN7txbx/qjW1yaTbyQBjxr2Kk1wrc4x+IobB+vx/Tp08HAFSMKUQwEEQ4L4ydn36KkuJisQZ/PJ7A7j0fo7ikGFs//BBTp01FQUEBACCVTGHXrk9gmgkUF4/D2HFjO3u6DmV+OHsru/aRfdnZ7S+9+CJ2796F4xYuxPgJE1BXX49Nm97Hk08+iSuvuhJeT9ezgDMpMqB4FHg9CtBmG2TLhtPhreswUjZS6RFTesroMDBkWUIo6DQtJRM6ookUDN1ELJpELJqEx6PA7/XA6+u8czoSjeLwoUOIxZwwGVcxFnk92NOiPyLRFkycMCn9kwTblpBsUWBLBTi0533s/3QzLr/8cqxatQqyLMM0Tdxzzz144YUXUVY2GXl5hZ33e0gyJFVGKODD1MllkGULlqUjEPCgpaUFtm3D6/WiudmZQd1RIatpmuhE7svGW90FRm9CJRdnIw+EERkKI71WAEAc+2DtKFdUFIINC+PHlqCqpgbrX12PiooKGJaJqiNHIUspzJhxDKKxKLZu3Yri4hIk4gm88uorSKWSUGQFpmVi/PjxuOzSFQiGBv9stfVDJ3VaUGaqrDyC7R99hIsuvAhz582Dnopj2rQZmDVrFu67735s3/4xTjxxkXPndk1f7WsxXZElZ5RRa2C01kLcwDB0HXo6MJxhtToMw4LPr8Hn15BKGYjHkkikTKRSJlKpOKRoHD6PBp/PA4+ntU38yJEj2LHjY/j8XowfV4zq6ka89/4RTJk6BVOnTOn+zekjj+ZFPB6FpimQZY9Y7ygaieDo/n0oKioSgQA4TThf+9rXsH79ejQ17sPCBbO6fY4Fx05GXl4Ap5xyIl555W+4/PLLxIQuAHjmmWfg9Xpx3HHHid9x+w36e7bf3yHjbfdodj/DPd2CcyT0M4yoUBjptYKBaCLqSiKRQGVlJSZMmADbtnH0yH6oHg1jysYgFNTR0NgASZIwd950nLH4RGiqB/v378ORo0ewd88ebNmyBfPmz8Pnln4OoXAYe3bvxtq1a/HkU09g1apVfT4uywIs04RlmTAtM73Fpft9eqtLs6Of3e0z09db6Z3Z0j9/8ukn8Pv8mDN3nvPeJlrgC+SjqKgY06ZOw5YPPkB+Xn7GPgZaevMcDaqqQFM96SWoNSiqLMKip7UUt+mru8Aw0gHhLBOiIxZPobkpjub0hLh4Qkc8oUNRZfh9GiTJwo6PP0bF2ArMnjUTsmxg4kQV+/cdxK7du1FSWNRtjSHrTL2D5hspvTquIkuQZUWc3Tc3jsdbb7+NExbNwdixTnu+YVh4553XYdkpTJ06p12budfrxYQJE9Dc3NDt30J5eSHy8pwTjCuvvBL//Oc/8W//9m+44IIL4PV6sWXLFrz++uu4/vrrEQwGoShKznQiA639GIqiiO1de6M34TFcoZLzoTAaagXuCKLBOn7LsrBmzRqsWbMG8Xgcfr8f48ePh+Ydi2jURkXFeASDTnuIJEuYPrVCrAY6bfo0lFeMxeOPP4ai4iJccMGFMI0UEvFmTJvurFj52OOPYdP7m1FcXCQKasuy0gW95ezX4BbctgnLcgpuZy/jwVsm3dB1SLK7D7KEUF7r0tKyrEA3DNTW1fTosZw2cFWEhqaqUDVnc3tVy/5Z0zQoqgpN06AqKmS586YvBTY01YbP7zRjZd7P0C3UN7Sgvj6CZFKHYVkwUyaOVFVBVQOYNGkKVFWFonqhyBLmzpuJw0f2o6r6MKZMG58ediqlz+bd9aEUyErf55gsWHgc9h3Yj6eeegoTJ01EKBjC3n17kUwkUVRUik8++QSpVAqejGa5aDSKffv24ZRTzu7ysVVNw5TJY8TP5eXluPPOO/GHP/wBDz74IEKhEAKBAL71rW9h2bJlObOcNeD8fQzEENO+1lSGclRTbrzjHRjptQIAQ7Z/xOrVq/Hiiy/irLPOwvz58/Hhhx/ipZdewsxZJ2Du3CUiEACgsCDYbnnoYNCPWCyGuXPnQZKcs1/Ldo556rRpkGUFn+78BONi/VtywNl1TXHW+Hcna0luZ6QMWVay1jGS09e54+5l96w2PSa/pLgUTz/zf9i5cydmzpwhmpxaWiLYtWsnjjt+IaZNmy5WidV1HaZhpOcyGEjpOkzTEEudGIYOw9ABxHv1ulRZhaKpUBUVqqZCUzVRO9E0j9O57PXA5/ciEPDB7/chEPDB5/PCozmL+zU3x1BV1YhIJIGG9QehqhEcM28qdEOH16Omw89GcWEYiWQziovC/eqg7/S1qDIuuvBi7NjxET759FPU1tZi+vQZWLhgARob6/DoI/fgt7/9LW655Rb4/X5EIhHceeedME0LC487qcvHnja1DGqbOTHjx4/H6tWrceTIETQ0NGDevHnOPJscGd/v7sQ2nENMh3qtpJwKhdFQK8jcTGgoJou/++67ePHFF/HTn/4U5513HlKpFFatWoXnnnsOP/vZL7Fw4emQpARs2wdZdlZC7YjTwdcEANA0r1gpNRqJwrLMrFFKqqzC6/PC6/XC7/fDH/DDo3nTZ6yKs82mrKSbJ9yCXxnwnc4KCwsx5YNpWLNmDc44fTEmTZmM2tpabNiwAf5AAIsXL+lwBFJbpmnDNHTougHD1GHoJgxDh24YMHQdhmnCts10gBiwTAOGacAy9fRoGBuKrEOWDUhyeo9pC7AMIGUCqQTQ0eLTsizD4/GIM0Cv1wtFVuDzWKitqYFpGggE/IhFauEPFECSNBw8eBCzZs9uN4w4/V2vm746ChRFkTB//jzMnz+vzftdgGVfvBzrXnwCGza8iXHjxuLQoUOwLBsXX3wNQqGO/7YAoKAghLIullIpLi5GMBjMqYXiVFUVTUXDQZZl+P3+rFrZUMiJUBgNtYLBbiLqzEsvvYRJkyZh2bJlSCQS2LdvH6ZMmYILLrgADzzwAA4fqcaM6c7M5MLCUKebyMyfPx+vvfYaTjrpJIwdWwHAKS9ee209VEXF7NmzkEgkEI/HYVgGjJiBaCwKpJuRfT4fQsEwQuEQQqEgwiE/VG3wP0wrVlyGv738N7z+xuswX3sVADBlyjQsW/aFdoHgbHWpQk3vnayoCjyaAlVV03soK+mze+dndx9lpZPho5kLKSaTSSQSCfF9MpkUQywzr3O/zHTTWyKRQCKRyHrc8vIAErGDeOGFJ3DhRVfAF8iHYVr4+//3AqLRKGzbxlv/eKtd7URJH3vbvhNV0dKvW4OqtX8t2cOIgbZzTzI76I9fdCqmTZ+NN998FVVHKzFx4hxMnDwT5WMntXtclyRLmDZtTKe3K4qCrVu3orKyEpMnT8app546rB2yubBu0nDuwDZsax+NhlqBWygMZ5h973vfQ319Pe69915YloVkMgmfz4dUKoUVK1ZAUieioGAMSkpKsGTJ8Qh2cuas6wb+8ue/oLqmGnPmzEF+fj527tyJ2poaLD//fBx77DEAAEM3EY1F0NISQaSlBZFoBPF4x80tmUERDocQCob7HRROG78KTZFFAa96FBipJOrr61BUVIgxY8qyNnNxCsjcmlBkmmZWYGQGSCKRwNatW/HHP/4RhmFi0qSZqG9IwLYVzJgxA2PKOy9gu9OjvpP0V2bfiZLuO3EZegoNDVU4cOAoYul///HjJmDCxInpZrzWoJk8qQyTJpZkhY9t25BlGbt378b3vvc9NDc3w+v1or6+HhMnTsQvfvELzJgxo8+vs6/vzXA3FSmKgkAgMKx9KUMeCqOhVuC2Tw9VE1FX/vrXv+Luu+/G2rVrUVLi7KXb1NSEG264AXv27MGiE78Ayw7gwIF9CAZUXHP11cjL77iav3XrNmzduhUNDQ0wTRNjKypw0sknY+LECV0eg6GbiERbEIlEEWlpQUukpd3Zr8vn8yEcDqOwIB+FhQUoKipAwO+DqsnpgkhJn8lrUBTnbF3VFGiqCk2TR8SQvoHS0tKCtWvX4tChQygpKcHixZ9DLG7jyJEG6EYKhpFu5tINGEbrV1d9J/2R3Xfi1LIkWUU0EnVqjXDmykycOAkBfwCaR0U4HMTi0zrew6OhoQGXXHIJJk2ahFtuuQVlZWVobm7Gf/3Xf6G2thbPPPNMVn/YYNI0bVj3Rs6l5TGGJBRGQ60A6PvyE4OpubkZF198McrLy/Hd7zrryHz729/G5s2b8cADD6C6OootW/eipLgIjzz6CEpKinHllVe2e5xoNI5NmzYCABYtOqHbtnhZlqAqKjSPM5zRm1GIa5oCyzIRibSgqakRTY31aGxsQDQagdy6hbOQn5+P0tJSlJSUiMtc6WgcbrquY8+ePZgwYQICAWcoZzyewsFDdaisrIfRi0EMmX0npmmkwyS778TQ3Z8z+lfMvn9mS4pU+P1Ku74Tr9eL119/HS+//DLWrVuHQCCAmpoalJWVoa6uDsuXL8dtt92GFStW9Pm5e8Jttx/OM/NcW0l1UN+J0VArGOy5Bf2Vl5eH3//+9/jud7+L6667DoBz1nHzzTdjxowZKCpqwf6DLSgqzsfixYvx4gsvoKUlgnA4BEmS0u3sCvbv2w2vV8K4sRWYNWN8xugZ58sZ19/6fWft7F1JJpOoqalBXV0dqqurUVtbi5aWFjQ1NaGpqQm7du0S9y0oKEBpaSmKi4tRVlaG4uLiz2RQaJqGWbOyJ4T5/R7MnFGBaVPHoLKyHgcP1yEWS3b7WM52ph54vL3ruLRtwDTM7NpJKgVdT8EwbbFwYzKZRKS5BYblnDQF/Qq8XqnTvpNt27ZhwYIFyM/Pz9rgasyYMZg7dy4++uijXh1nb+TCEtvD1ZHcnUEJhcyCdLibV/pqIJefGGwzZ87E008/jY0bN+KTTz7Br3/9a1GQFBeHsfj0OfB6NYRDNh5/9PeYMjmEY+bPFwV7S0sLtm99AyVFKr70xTNEM9RA83q9GD9+PMaPHy+uc4OitrYWNTU1qKmpQSQSQWNjIxobG7Fz505xXzcoMmsUuTKOfTgoiowJE0owYUIJamtbcPBQLerqWwb8eSQJTie81lp7NPQk4rEmBMMlWWe4tg0cOHAAhw8dQF6ejHA4jNNOOw3hcFh0yrt9Jx9++CGOHHH2bo5EItA0DZqmwbIs1NTU4Nhjjx3w1wIMf1MRMLwdyd0ZlE+U2z7m82UvqJa5P0DmbmHdbZs5lGfog738xGCRJAknnngijjvuODzwwAPYtGkTFi9ejPr6evh9NkpL8/HK37dDlk1MmTwp60z/gw8+gG3bmDBhwqAFQmc6CopEIpEVFLW1tV0GhVuTcC9HU1AYhoHKykqMGTOmyzV2SkrCKCkJIxpN4sDBGhw92ghzED83iupFMFza7ixbkoBJkybixEWzsH37RrS0tODll1/GiSeeiAULFmTd/5prrsHXv/51rFu3DqeffrooE5566ilUVVXhvPPOG9hjzoFVVUfC4nlDemTuNO2+pGNX4dFd2HQn15uIekNVVVxyySV47LHHcOyxx+KYY46Bbdt4//33cf/99+Pzn/888vNbx4tHo1F8+umnAJC11sxwcjcLmjChtYPbDQr3q7a2FtFoVASFS5KkDmsUuTL2vbec0UI9P/Zg0Is5s8dj+rQKHK6sw4GD9Uil2u+q1v/j6nzRw4KCII49dhpmz56EN998E7t27cK7776LQ4cOYenSpaLz+OSTT8aXvvQl3H777ViyZAnmzJmDLVu24O2338YVV1yBefPmdfj4vT9WSfRjDJfOTpRz0ajfjrOrEHGHAbofmrbBMlLfmlQqhdtuuw0bNmxAeXk5VFXFoUOHcOyxx+J//ud/EAqFxH3ffvttfPjhhygvL8cFF1wwjEfde/F4PCskampqEIvF2t1PkiQUFhZmBUVxcfGIDYresG0b1dXN2H+wBs3N7d+bvjINA6lUDD5fHqSMczxZlnDyiTMRDLYWwDt37sSbb74JXdfh9Xpx5plnYvLkyeL4nn32WaxZswZVVVWoqKjAihUrsGzZsgE5zlzYjS3XOpK7M+pDoa3MCUfdLT/RXc2kr/ssD5X3338fb7zxBgzDwKmnnorTTjst6w8zmUzi4YcfhmEYWLZsWdaZ+UgVi8Xa9VF0NI9CkiQUFRWJkHCDIhc/uJZlDchxNTXHcOBALaprmvr9N2rqOhLJCAKBwqxQmDxpDKZ3MFGtubkZr7zyCmpqnLWo5syZg9NOOw2K4uwbvnnzZqRSKZx00kkD8lqHezYykLsdyd35zISCaZpiktBQvGS3GWq4A+Xo0aNIJpOYNKn9jNONGzdi06ZNKC0txcUXXzygz5tLotFoVv9EZ0EhyzKKiopE/0RJScmwB0UqlcKePXswadIksbR0fyWTOg4eqsfhw3XQB7DvzO/34tSTZ3T6flmWhffeew9btmwB4PQHeTwePPjgg6itrYUkScjLy8PXvvY1XHTRRX06hoFauK6/3CVghnvOQV+M+lDQdV30F4wUbftDOmrWatsZ31mgxONxWJbVbhKQrut45JFHkEwmce6552LKIK7Rn4vcoHCHxtbU1HQ44c4NiswaRVFR0ZAFhWVZiEQiCIVCA/6clmXhyJFGHDhUi2i048mGvXHcgikoLg53e7/Dhw/jtddew/bt2/HSSy9hyZIluPLKK6GqKp555hmsW7cOP/zhD3sVDLkwGxkYGR3J3RmVoeAuSpdMJkd8x3Fv9KY2snnzZrz11lsoKCjA5ZdfPtyHnhOi0ShqampQXV2Nurq6LoOiuLg4qyN7KINiMNTVR3DoUB1qapt6dH9dTyARb0EoVApJBsrKCnDs/Ik9fr5EIoHLLrsMEydOxD333INoNArLshAOh3H77bdj06ZNWLt2bY/e01xoKhpJHcndGblx1gF3UbpcWH5iOHS0CUcikYBhGFmdy4ZhYNu2bVAUBaeffjry8/NHfP/JQAgGgwgGg6ITFHDGz7cNCnduRU1NDXbs2AHAGe7o1ijcpqfCwsJ+B4VlWWhpaUE4HB7U0CkuCqG4KIRoLIlDh+pwpLIeRhcnVDXVdYjHI7BsD4qLijBrRva2rbquIx6Pi0UU3clr7vc1NTU4cuQIvvGNbwBw+hwMw0A4HMYll1yCdevWYffu3V2uf5QLC9cBI68juTsjPhTcJTSSyeSIm1swFOrr6xGLxcTezYAzkzQWiyE/Px+zZ88G0HGg9FRHTVs97VPJdaFQCKFQKKt5raWlJWvUU21tbadBkVmjKC0tRWFhYY/fZ8MwsH79ehw+fBhjx47F0qVLB70ADAa8mDVzLKZPK8ehw/U4eKgOiUQShu7MaD5w4CBe+fvf0dDoLI8rQcKE8QWoqz0XkiSJQr+7QRxuDcz9zFZUVIjb3KbezgrZXGkqkmUZgUBg2ENpoI3YUHBXBB3JS2gMhcwPG9Da2QcAJ5xwwoCc3fT1MToLibZzUtz75spw4XA4jHA4jKlTp4rrmpub23Vmp1IpVFdXo7q6WtxPURSUlJRkNT11FBTbtm3Dd77zHdTU1CAQCCAWi6G4uBi//OUvsWDBgn6/hmQy2e5Mvu0ZvfvV0BhHS4uBpuYYNm/ajDHlY/DFLy5DQWE+jlQewlNP3o8//7kSy5cvz3oOt1nH7/eLS/d7n8+Ht956C08++SS+8IUvZP0NPf744xg3blzW++vKhdnIwMjuSO7OiAsFd42VwZiQMxq1/aP96KOP0NLSgmAwiPnz5w/TUTn6UzvJteauvLw85OXltQuKtjOzU6kUqqqqUFVVJe7nBoUbEl6vF//6r/+KKVOm4J577sHUqVOxb98+/OxnP8O//uu/Ys2aNSgqKsp6L9xCvruC3v2+N++Dzwv4vCo+/fRjKIqOq1deDds2kEg04yvXXIwFx07Et771LUyePBnHHXecKPi762xduXIl7rjjDtxwww24/PLLoWkannnmGbz11lv4+c9/nvW3kQsL1wGjoyO5OyOio9mdW5BrK5SOBA0NDUgkEqioqIBt2/jzn/+M+vp6LFmyBCeccMJwH96wGM7hwk1NTe2Cou3IuC1btmDjxo1Yt24dwuEwqqqqUFZWhng8jmXLluGss87CKaecIgr4zpYp747H48k6c297Vp95du/3+7Fy5UrMnTsXt932PRw8VAvbMjFjxjjYto2lS5fi2muvFYsydqe5uRnPPPMM9uzZg23btmHfvn0AgOnTp+Pmm2/GWWedBSA3Fq5zj2O0dCR3J6fjbjSssjrcMtv3d+7cifr6evh8vkFbbGwk6E/TQ3+HC+fn5yM/Pz+rj6epqSlraOxrr72GuXPnoqioKGtBxvz8fBxzzDHYuXNnVme4K7NwzyzkOyro+9IE4/F4EIlE4PWqmD6tXFzv1tx7uoyEaZr429/+hmQyieOPPx6rV69GU1MTTNPMWnsrV5qKRltHcndyMhRG4tyCXJXZzPDOO+8AcNY4GmmzLHPFQPafuF9erxelpaXi508++QSvvupsLappmphpbts2KisrMWvWLJx99tnt2ugH+0z67LPPxj333IN9+/ZhzJgxaGpqQnl5OR599FEkk0ksXbq0R4/zxhtvoK6uDn6/H+eccw5kWUZhYaG4PRcWrgNGb0dyd3ImFDI3vO9u5AL13t69e1FTUwNN03Jm4bvPkt70n6xYsQIPPvggnnzySdxwww0iLP7yl79g7969+OUvf4n58+cPef/JpZdeirVr12LVqlW47LLLUFZWho0bN+KVV17Btdde225QQ0e2bduGnTt3QpIknHPOOVmTKnNh4TrXaO5I7s6w9ykM9fITnzUHDx5EfX09duzYgcrKSpxwwglYsmTJcB8WdeMnP/kJ7r33Xpx00kk44YQTsGnTJrz99tu47rrr8NOf/rTHjzPQw4Wbm5tx7733Yu3atYhEIpgyZQpWrlzZo2VSqqqq8Pzzz8OyLJxyyilZTZi5sHAd8NnoSO7OsIWCO+OYHceDY8+ePfj5z3+O119/HZqmQVVVnHTSSfj1r389ZPveUv+8+OKLeOihh3Dw4EGMHz8eK1euxPnnnz8kz92T4cK6rkNV1R4NF47FYnj66acRi8Uwbdo0nH322QByYzYy0LpmUi7UUobbkIYC5xYMjQMHDuBLX/oSQqEQrr/+epSWluLZZ5/Fyy+/jDvuuAP/8i//MtyHSCNcQ0MDjh49ijlz5rS7rW2YmKaJp556CkeOHEFxcTEuu+wyKIoidlobbp+1juTuDEkouHMLRsLWlqPBd77zHaxfvx6vvPIK/H4/dF1HKBTC7bffjieeeAKbN29mbYH6JZFIoLm5GWVlZd3ed/369di8eTO8Xi++/OUvZ3UqD6fPakdydwYtFDi3YPjMnz8fX/nKV3DbbbehqqoKDQ0NmD17Ng4ePIhTTjkFV199NRYtWoRgMCgmXRUUFKCoqAihUOgz2blGg2PHjh1Yt24dAODCCy/EtGnThvmIHEM1YmskGrTeFDcIVFUVG2m07ehiE9Lg0HVdrL3vzpIFgEAgAMAZF3/o0KFOf1+SJKiqKtp7vV6vWCzODZCCgoLPzO5l1J67+KT7N9WRmpoa/O1vfwMAnHLKKTkRCOxI7t6gvTM9rZK1XecmMzDatk32Zt/lz7LTTz8dTz/9NG6++easP/4nnngCiqJg0aJF0DRNNOkZhpEV0G4norvSZXcy24e9Xi8CgQCCwSDC4TDy8/NFgHxWh/iNRk1NTThy5EinS6UkEgk8//zzMAwDU6ZMwamnnjrER5iNHck9N+xDUvuqozDpbGjdZy1MPvjgA1x00UU45ZRTcOutt6KkpATPP/887r77blxzzTWdDmlMJBKor69HfX09mpub0dLSgkgkItbMSaVS0HW9X/NI3FqIO1vVnWEbDodFLaSwsBAFBQWsheQw0zRhGEanheyaNWuwZ88e5OfnY+XKlcO6PAQ7kntnxIZCX3QXGKMpTN544w3cfvvt2L17NwDA7/fjuuuuw3/8x38MSGFrmiYaGxvR0NCAxsZGNDc3IxKJIBaLifV43ADpTzOhWwvxeDwiQNzlrPPz81FUVISioqLPxJo0I8Vbb72Ft956C6qq4qqrrkJpaemwHAc7kvvmMxUKfdWTMMmcEJQrYWLbNrZv345YLIY5c+YgHO5+q8TBEovFUF9fj4aGBjQ1NaGlpQXRaFTUQtzmqv7UQmRZFrUQr9cLn8+HYDAoAsQNkYKCAjZj9VM0GkVLSwvKy8uzrt+zZw/WrFkDADjvvPMwd+7cYTg6diT3B0NhEI3UMBlupmmioaEB9fX1aGpq6rAWYhgGDMPo83slSVKntRC3L6SwsBBFRUVsh+5AQ0MD6urqshb2a2xsxMMPP4xkMomFCxfic5/73JAfFzuS+4+hkIPaBgjQ8z6UzxrbthGNRlFXVyeasdxaSCwWE53puq73qxnLrYV4PB6x5LQbIHl5eaIWkpeX95k8O9V1HY8++ihqa2sxduxYXH755UPahu9uzckA7z+GwijS236Sz2KY6Lqe1YzV3NyMaDSKaDSKZDIpQsQ0zQGphbjNWO6IrMwAKSwsHDXt3S+++CI+/vhjBINBXH311UM6OdINaXYkDwyGAjFMOmHbNpqbm1FfX4/Gxka0tLSIEInH450O6e0tRVGyRmT5/X4xpDcvL080YwWDwZyphbij1KZPn45NmzbhtddegyzLWLFiBcaNGzckx8CO5MHBUKA+620/SeZto1EymWzXmd7ZkN7+1EIyJxa6tZDMzvTCwkIUFhYOypDe2tpa3H333WJSWnl5OSZNmoTx48dj6dKlQ7YsOzuSBw9DgYZcV2HSVR/KaGLbNhobG0VnelNTEyKRCKLRKBKJxIDWQtyJhZm1ELcZy13epKuZya7a2lqcf/75aGlpwYoVK1BaWornnnsO27Ztw1e/+lX8+Mc/7vNx9hQ7kgcfQ4FGjM5mu3fX7DUaZE4sdANkoCcWyrIsQiSzFhIOhxEOh/HQQw/hlVdewUsvvYQxY8aIyWu33norXn/9dWzcuHHQ5ouwI3noMBRo1OssNEZrmLgTCzOH9La0tIgAceeF9HZI73333YeVK1fihz/8IaqqqlBfX485c+Zg165dOPPMM/HnP/8Z55xzzoC/HnYkDy3WwWjU62thMlLDRFEUFBcXo7i4uNv72raNeDwuhvRmTixsO6RX13WxuGJxcTHy8/MBQMxYjkajA/o62JE8PBgKRJ0YijAZ7hWDJUlCIBBAIBDAhAkTurzv22+/jRdeeAE33XST6OwGgOeffx6SJOH4448fsGNyh/KyI3nosfmIKEfk+iKPGzZswFVXXYWLL74Y3/zmN1FSUoK1a9fijjvuwOc//3n87ne/6/dzqKqKQCDAxRCHEUOBaIQbyjD5v//7P6xevRoNDQ0AnLP6Cy+8EL/61a/EHh59wY7k3MFQIPoM6ktfift9IpHAhg0bEIvFcNxxx2HixIn9OhZ2JOcWhgIR9VhPwqSnizwqigK/38+O5BzDUCCiQddRmKiqyo7kHMRQICIigY14REQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEhgKREQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEhgKREQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEhgKREQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEhgKREQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEhgKREQkMBSIiEhgKBARkcBQICIigaFAREQCQ4GIiASGAhERCQwFIiISGApERCQwFIiISGAoEBGRwFAgIiKBoUBERAJDgYiIBIYCEREJDAUiIhIYCkREJDAUiIhIYCgQEZHAUCAiIoGhQEREAkOBiIgEhgIREQkMBSIiEv5/xkO+1Qa5X9YAAAAASUVORK5CYII=", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.axes(projection=\"3d\")\n", "xgi.draw_multilayer(H, ax=ax, sep=0.1)\n", @@ -407,10 +501,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "4bd85729", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.axes(projection=\"3d\")\n", "xgi.draw_multilayer(H, ax=ax, h_angle=5, v_angle=50)\n", @@ -420,10 +525,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "2be22dc3", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.axes(projection=\"3d\")\n", "xgi.draw_multilayer(H, ax=ax, h_angle=70, v_angle=10)\n", @@ -449,10 +565,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "0e274e3f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "_, ax = plt.subplots(figsize=(4, 4), subplot_kw={\"projection\": \"3d\"})\n", "xgi.draw_multilayer(H, ax=ax)\n", diff --git a/xgi/generators/random.py b/xgi/generators/random.py index 90d5c5be..13e543c6 100644 --- a/xgi/generators/random.py +++ b/xgi/generators/random.py @@ -84,7 +84,9 @@ def fast_random_hypergraph(n, ps, order=None, seed=None): H.add_nodes_from(nodes) for d, p in zip(order, ps): - if p > 0: + if p == 1.0: + H.add_edges_from([e for e in combinations(n, d + 1)]) + elif p > 0: r = random.random() index = floor(log(r) / log(1 - p)) - 1 # -1 b/c zero indexing max_index = comb(n, d + 1, exact=True)