From d80724350243cc86ddd57e87b5f76cd96abc0123 Mon Sep 17 00:00:00 2001 From: Felix Hensel Date: Tue, 7 Jun 2022 15:14:46 +0200 Subject: [PATCH 1/3] ripsnet tutorial --- Tuto-GUDHI-ripsnet.ipynb | 1213 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 1213 insertions(+) create mode 100644 Tuto-GUDHI-ripsnet.ipynb diff --git a/Tuto-GUDHI-ripsnet.ipynb b/Tuto-GUDHI-ripsnet.ipynb new file mode 100644 index 0000000..5321514 --- /dev/null +++ b/Tuto-GUDHI-ripsnet.ipynb @@ -0,0 +1,1213 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "68fd0e79", + "metadata": {}, + "source": [ + "## RipsNet - Tutorial" + ] + }, + { + "cell_type": "markdown", + "id": "d710fbb9", + "metadata": {}, + "source": [ + "In this tutorial, we show how to use RipsNet to learn the topology of very simple synthetic data sets comprised of (noisy) circles. Let's first define the seed (for reproducibility), the number of point clouds that we will use for training RipsNet, the number of point clouds we will use to test it, the cardinality of the point clouds and finally the amount of corrupted points (when noise is added)." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "40bc920c", + "metadata": {}, + "outputs": [], + "source": [ + "N_sets_train = 900 # Number of train point clouds\n", + "N_sets_test = 300 # Number of test point clouds\n", + "N_points = 600 # Point cloud cardinality\n", + "N_noise = 200 # Number of corrupted points" + ] + }, + { + "cell_type": "markdown", + "id": "ffa4e5ea", + "metadata": {}, + "source": [ + "Next we use helper functions to compute these point clouds." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "489bdaaa", + "metadata": {}, + "outputs": [], + "source": [ + "from datasets.utils import create_multiple_circles" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4f615886", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████████████████████████████████| 300/300 [00:00<00:00, 505.62it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 300/300 [00:00<00:00, 490.15it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 300/300 [00:00<00:00, 471.18it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 536.18it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 521.09it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 482.68it/s]\n", + "100%|████████████████████████████████████████████████████████████████████████████████| 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+ }, + { + "cell_type": "code", + "execution_count": 5, + "id": "09541458", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(clean_data_test[3*i+j][:,0], clean_data_test[3*i+j][:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_gudhi_pc.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e5da51de", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YToy51nU6GmDE2d1RM3woHS/5d+dxdACl5+Fhuo2yp5Nvk9MpZrnQ2YPH2n5vcW2XR5IvdUIZqvNBNWSMH/+i4c9tooOrsJ2ESuazsqOB32gYAxRngeaPdNM2fFh7oi5OlGWf6mLLdJ4LtKwJlhZ8YPbV994W8pmUj3+ayfFkcRW/bJXR7dg4d6zHewbKzxOEyvlAWS+QMX78iwY7PxVdrVomVJVsEhoJr8xnTavQXVpEiVNQ2Z4oypyy7FNdnPikpkE1wSjw95fVW16dHfFvefnRIcYsyBC9PffIS69y68LxxB7JtEgjEXGjWndpQsb44RmdmveqBh99M59uYyJAVckmodGipuJZ+e+gMmFEQbnYZZz2yKygHoUgOQnzPGnK10ihF9eHj6DDAv66UYp91VoGL7fdutesw2J4gtIRiNB5UeRMlkyq1DdBfUZlo0TO+GG5fBg/PttKsTXRBFD1IqZCYTea8Cqelf8OKhNGBKNT87h8V/2tLpnIrKAehbhykrZ8jRR6weyLJz+XSBj5k8VVOLYFC9Uipu3ASKHXi216sV3Z9W+NdB4L02hVHT6KnKUtkyII6jMqTgJSxg9bFBhOZy71DqIsgCraRsUrQWXCiIC/Chv1eSh7wCiMUdw2JGm7qDHhr1hfvpt+/M/E7DJKZRd7HZt8EK9I9nTk6l6bwcaeJd9tVaswipxRmE9h8Mt/q/lAZU0hY/yw6rqMG+ePYPlfz6R+s4OyAFJum2hGCr0o9O3Hlemllrsr6rByFcODPZGPYigY443mGAWlFrcNSdouakwejL3rJUEE0o//YZ4Pvwck67z1+mt1r81gY+905kKVoIkiZxTmUxhkly2RteEjYfz4j7r4RSFqhlfRHa9CAOMOri6TQxQsCH56YS31XXEcJourODp+H3PLP+H6cOtEnUGyTMHgpWCAUULkmIydGUDeseHYVurxU2A54CLkgssCD3/YqHttBhv7q++9rcU196QErVWyy5bI0jckjB8+sGzYV1U3aoZXCouDn1bGjVlMwsHvqiheC24Fuy0SNi4mSJYpGLwU51iaiByTkUIvFsdPY4/dgc1SOd0aYJZV/5oisotI80QpJExhPqokaK2SXbZElr5J3fgZnZrHZqkMAOgOOFvmHzxMJ1AUxlbGjVlMwnHrwnHcOH+E7LXgZrAcIY5toduxQ401RVkG6LYrKpTjpxibpTIGPplNp42EPD8qK6bLLiSsM2msVbL0jVTjJ0xlb/64K6hujIgMr2nTSmB0fa40YNeCHdvC042SFvE/k8VVfHx3CZulMrrsDjwcP23GmgCUPa68Liy9rODTFDxALNN6V4JipqLIShFp3cnSWiXF+GFGz8TsclPlwrt0HVtcEi1qZElgKDBS6MWLbRcuWt+uoMDE7DLY3jn9PbSBIXJBFO1FGin01l0v3yipjf8ZnZrHs1LVU0mhCKvqItI6eAUNyZBi/LAdlQWEVi5X339HRlPIoPNkoth2dh5fcUHa+8Mf6wL0q2K3EyI3JTK8SPwxL6D2mPfzhTW4ALbKbltu2ih7BQ1ikGL8sB3VR2cGmioXVsNpeLAHt+ceCV9cKS3aOk8mim2/deG4tyhQvv3Fe6ZunE+/fAWlOcHT7FYn1TbzyDpWYce83YqzZ3fZVt0rQ4exEMHJvv3IWUChb7/3u3Z59nZBivETdkclu4aTf9FOU3h1PnOm2nb+NkYj2UlzzCeLq9jTsZMhN23DB6BpyALNb3VSbTOPzKPtkUIv/vdW9Zbg5btLODp+X7o8X33/neoVbp9HPsxYZMFI+Pelv6LiVl8ZOsghJajLgdLbXizPiX/yylpc/Z+bpvBGUY7UhEaUYhf9XOxYoNmuOM0xvz33CKWyizfyDpmbI1QN2Wa3OtNsswiZFfEZFS5YTFUJkaD4tDBjkQUjYavs1r0C6mt7yUZ2W5oViaWAUuOHz3Ny7YvvYhd2DDto/s+lqvj96Ko80shnNFLoxau1mlJBk0zWmLd61tGpefy4UYJjW6TkrdFcS1spN7vV2Uo/yGx7UpmdLK7iynTyOm586QsL9ccxMmj03GF0tX/OpS1bcfhgsJrr5wMu6FzEJpBdAkrj9p4f2evMxaF+0mlJlBo/J7kJWyq7sTs+7qDpcutKFyPNT1r5jJpNMllj3upZ7y1WA0ZfbOsRMKqrwQ3IbXtSmb099wgVF8hZ0eu48TwYexePJ86i27HhAviP5Z9if1YYgmJewuKfczrLliyCvGqqjUTZ6wyLV6O6lik1fua4CevYVuxO0dU48EO5RlIc0spnNFLo9eJ//uuXF0oCZVs9a5QssRTQeU7JbHtSmWVtuz4sNthddsqEueWfUHHFGFnNxoeqV4iV0hGdSoNd8gm69anaSFSxzlBeyyw3QvbOEydOuN9++23sLxv4ZBall9UieRRuvkRlsriK23OPcHGoX0jbT978Ck83SjiYd/CnS+8KaCE9RPdZI1hfAvD6M27/njhxAknk3BAPVbKiM5PFVXw29wi/E9BHzeT86Ph9bJbK6HZsPBw/neh7mkFVB45OzePe4hrOHasvtyRTRkWOrWEHy7L+7LruCf/vlXl+RqfmPcOn27G1HFzRNx103m2HRdVu5uJQP7p9BSHT6N+0b5dR3EWHxRyPtEbVTrqZh0IklHQgP38albiQKaNxxlb3OZ8mSoyfMGUsdED0TYe4iiyqwLfDFf+RQi8ejp/Gvte6vNswql2uo1PzuHw3eXBrXCgbD2FkkNJCSB0Vc1pFNnJKxyI6Fs6mPOepo8T4ua3hwAQplzg3HWQQVeB1ueLfijAKnwXV87E/ImnWhs85Az/O+Cdd0KgpZp4wMkhhIZRhVMj4zKD+FPk97FZSqlXlFcPPH13iMVmbC337jQcoItKNn8niTjVrhg5WKuUbZVEXOcqLYhTCjMnXK+sAqsUgZchZozacmvjK2ynbOcQa/6RGappXwlshWgZlPYuojQLfvlafGeVZ2HtP9u2H05nDX7nivjI2OVbrt2QGfv5E6cs055XsRMEyoHJUJ934Ybl9/uG1Ltw4T/famx/KBkNUA4tqbpeo3x9mTC4O9cOxLWm5UBq14cnPJe/nV/fYgX/b6nlly1wzhS5bFkRvCmR5M5OMQSODp9VnRnkW9t7iyroXQ8nKu4iUHxbzQ6GoaRpE6UsKR0+U1ys/FPoLkGz8MK9P3rG9CHYqLsNWyp5SW2WRthBG/f5mY8LGEwD2vdblVXwXvZg3asO+V3YMnkYxba2eV7bMNVOQqmWB6hFfkjFoZPC0+swoz9LovZ/OLguVn3bQf60IG/OkwvDQYb0KO6epGGpSjZ+J2WVslspwEe8YIC5Bg+D/XdoLfyNUemPSFkKR3+9feFRnFnVq3p6Deaehh+1k3/5U+7uZgkyS1C4Oso/40iCKwcMT973DXPbhrfJ2orYHkbZnOE1UXFyR1Z60CNtGKnNXScCz6nPjoEHw/y7thb8RKoU8bSEU+f3+hUdlZlHm4eyueTj98EcVMvs7yWL19co6Ki5QrMVMyf4+qvMvCarn060Lx9HtVI3urbJLNv4pLmkZX8N3HuDpRgl2bTNAwQDUYb7o0EYeqcZPWufGQYPg/13aC38jogpQO+/OeILqQRX69uPK9JIXECoL5uG0EOzhVKUUkixWcdqY5Puozj/dGDszgJxVPaKhFP/kJ46eSsv4WniyAQAouyATSKzLfFGRHkEU0owflvPkv355IesrGhIkKLoIT9R2pr07i4JqQ216oZqins8xJQL+OSaLq9gslQE0nviqZC/JYhWnjbrt9LIIK+0i48hSpNzG0VNplcVg8Xv7XrGNjEdAp7UIkGj8sJwnsq4cG6rolOdBt8nRCP45WA6rnJV+8k7VBr4uG4osEbToxzmyDMvo1DzeujST2Hsax4hoJl9+XSLSGPr572Xv1ci4foHMYZFm/HRxeX3S6ox2OBLSKc+D6skxeChf9yoK/jlkFa7UER3nm25tDtpAyJxXorynoo0I/zOLzM/EcDqV1v0mi26BzGGRMrqTxVXssTuQd+zEBUyTKKeseBrCoIPVLXpytJKN6Q9PYXiwBw9/2BAa98M/h4oJr8sCreN849usQz8HZSEGqhvM27VnEAkzAFQaAmHGwT/vROm/q9NLOz+/93aiz/Kjg3wFocPaEgcpEi3yirvqIE5d0c3qFkEY2bi3WN253lsUG/czOjWPw2MzGPhkVroy08Wo0HG+8W3WoZ8bZSGW1far772NvGNjT0dO2aId51lE6b8yF7gnWpfqIF9BZHVtkWL8vNiu1L0mQXUQp0EfwsjGuWPVXCgVF0K9P8yYKr2sSK9/RNmo4HezMuabyszTlPs5CP/xq2NbeLpRwvCdB8L6bKTQCxfAZqmMTxXV+UprHIbvPPB+Fn1UDtCex+2I5brhL6edOHHC/fbbb1u+7+j4fWyWqnlPHo6fTtI+gyExfWMzcFHNN7Uycbbl+0+cOIFWcn5q4iuvpEXesbEoQM5ZWYSLtVxFopD1uQBw8uZXeLpRwsG8gz9delfoZ6v4/KwwWVzF5btLdb9r1Wdh5BxoH31+eGzG+/lxCD1h0APLsv7suu4J/++leH5Yfp+0b78Y9D1nFkmHVf8qgrWNnVpevxk4IOQzZbnFZbrbZe9mzW45HLe5sR08lBfaZ+2izztrCqJTpKIwkCW4AmMCZO4yDdHhF752HQ/bzqH8sgLbFmfrH30z7yVDE3XF+OJQPz6beyR8oRf1uUFzmwV9y0L252eFi0P93vHrv/zTPwrtM/ZZzMDK4nhMFlfxSmcHXu1E2xZzbTeEe350DerKKu24c/Z7u/Z0VMW89LIizAP2/d+eez+L6ltZMWqiPlfkdeJ290aKZqTQi1e7bGyWyrh8V3xW86zr9dtzj7BZKuPVLjvxPDHyrQfCjB824G/s7UqUbdQIjljaMejbr6hZCQBAXAkAFszvdOZI963I+STKkM76QpoWF7lxEX27MeubKFlFlnUny+uxMOOHDfjDHzYSZRvNguBEFZgsC1gaBNVxE14CgF0UiHBhIA1EzidRhnTWF1I/quY3q/Ses3ZuOYr87Cxtovwlam7XjoVFF1nWnSysx40QZvxcHOpHZ4eFilsNGIs78HEEh5rxEFVgsixgaRCkqEWWAJgsrqJUSwiyx+5I/HkyoaiIs7aQtiJL85uaro2LzBxJWZJvivpDFMKMn5FCL15uVxeEl9tu7IEPKzj8JKSmXKIKTJYFjAqi3doAjXperUiqiLOy2KWJyvn9ea0cxeeCi/kyqOnauPA1EX/Zql7jN/p3N379kSV9IDTgWVYtpSD4SUjNeIi64GRpp0CZ51tlTMwuJ564QfW8sqQUeLKy2KWJyvldi+33XkVDTdfGhY3J3PJP2CyVYSGbt9hEkyV9IHSKTH94Co8nzmL6w1MiPzYQfhIa4yEbtDIgktZ52yyVsVkqJ564QfKWJaXAo3qx082IFNFeUZXTAeDVPdXsJeUKpPRhlnTtZHEVm6VqBXdVkXu6ybefrBi/gGDjR+XAZmkSBqH7JIlDKwMiaZ03u3bj61d7u5I0M3CxypJS4FE9z3QzIkW0V2T9ORk3G4MQabCJJIreTOP4Wjf59vdnltZdocbPxOwynm6UlNWAyTJhJknWDKRWBkTSOm+s0tzDHzYStBKYrsVVTHNxFVlSCmmimxEpor3sJqKIG1pSbjYGwAy26YU1UvonrN48On4fPz/fQt6x646vZaObfIs01th6NTo1T2LdEprnR7ULMcuEmSS67SJa0cqASGpgdDt23WtcnM5c3atBHLoZkSLae+vCcXx/8yx+3bdfyKIwt/wTKm71VRa8oUZJ/4TVm5ulMkplV0hSwyjoFkAsI//RvcW1puuWqj4Rpr2v/fEv3s/Ub8BQI2iwwyhV3XYRafPz38t1r3G5+t7bOJh3cPW9t0U0y2AAIH4zI7NC1a0Lx3Hj/BEczDv41d4uMkdgrfTmZHEVv2yV4XTmpN3winr0RnkDK3Izwtarc8d6mq5bqvpEWG2v0suK97MuuzYqxK2/1Q41d6hhatcZZCGqBttbr7+GhScb6Hv9NUEtC4bVXWPV0KcX1nDrwnGp35mE4TsPvHp8rSreJyGKPpdVz48iYev0qeoTYZ4fpxZNyl4N4UniwaG+c6CEiFQMLK5twsS1GQQjapfNYtqSxrYB8bLVU2SyuOoZPoC4enxBRNHnuh3zBiH6mKpZn4j8LmHGzz8fOYicVX1tBvUzzjRIMgF0OfqiMO4iUzEYE799oCC7URAZQB1mczU8uPM9V6aXSPaTf7Mi09jIgkEThVYyInL+iNzsCzN+wpYPMJ4Ksegy0bIy7mNnBnAw7+AjE9emnEZKVLZxopvs/rpvPw50O/i1gNteYTZXLP4nZwEVV20AdNjcYKwQMVBvrFFDN0MbaC0jIuePyM2+0NpeYRql0lOhoyBlFQoeKhG5Sb5ZWcePmyV8I6BGmCEajZSobOOEguxG4doX3+HpRgnXvvgu8WeF3VyNFHpxfbgaAN1hAYfHZjB850Hi729Fs7EfnZrH5btLeLpRAlwXB/MObpw/QjouSTdDG2gtIyLnj8jNvtDaXmEnSZTGJ83qq5sghUU3w46Ch0pEMjmRCekM0WikRGUbJxRkNwpbtaK77FUVrJ+e/FwCACw82cDAJ7NSdVSzsefzcHXZHVqMoW6Gdhiozh/yiUqSZvXNmiAxsmzYyUJELITIeIp2JInR3kiJUlWuaXGsFtB/TEGNxSD4CwWllxVcvisvDiho7FkSQx5djqmpyLJum+s4CE1yKKOzkmb1jSpIugx6lg07WYiIhRAZT9GOGKNdPt//7Xndq2qmPzy1K67m8t0lvHVpRphebaanWRJDoFq64sZ5cRmcdVkfkhJ2nurcH8KMH1lKjXJtIVEDH+dzqOwQdEJELITui3fayiqO0Z52m3UlzRuJty4c35VSouJWjSARsUD8PBy+8wCHx2Yw+D/u461LM3hjbxe6HVtK6Qpd53/UORR2nuraH4CigGedlFcU5ewf+LjPqbMA6YSIWIiTfful102SSdqyFsdoT7vNujE0cAA5C/jNwIFU28FSSxza59T9fuHJRuI1gdfTLH/Pz38vo+JW8xs9HD+NxfHTwjeHunrco86hsPNU1/4AFAU866S8oijni0P9yDs2nm+Vvcy/7DmjTG6dBUgnPhisxut8kOCqa9iUDlTRUdZ0aTOVTd4XtaD8L4gE5T8YexePJ87WJRlluvLy3SUcHpsJfTtsdGoeh8dmcO2Pf8HvalnW2efue8WWHo+nq8dd1hzStT8AwHLd8LvgEydOuN9++23gvzVL+z9ZXPXSVTfrJB1LB5y8+RWebpQ8wWLPySa3zDTqhmiEla8TJ06gmZyHkWWDemTojyifyeuCNOc8KzcBAI8nzjZ8XzM5l81kcRWX7y7t+r1jW4BlAdy6tMfu8OpF8n+Tdj9nFR3X4WZYlvVn13VP+H8vzPPD0v5/GpD2P6x1qJOHiMFb1PxzRrG0qewYRUD5WUTIl8nz05w0x5+N76ezy6lklBW9u47bl6/USgy9QrjUEO+x4SmVXZReVqqvtf82S2V8NvfIq2EIAE5njrwnUFd0XIfjIPyq+0apLOQcVxdEXL/NkrBRfhYR8Tosz8/0whpJAy8IlQZJGhcGGEx/uEAqGWVFHwHEnUtb227dK1VYTNDjibO4cf4I8o4Nx7bgdOaqr7X/8rXq62wsbpw/guV/PZMJrwRFqKzDsvWWsKruY2cGcGV6yUtvHkcww1Z9TQtZ7sAsVfal/Cxzyz+h4gL/sfxT7M84d6zHS542MbtMWl4Z/irTMt3aUcY/SvXrMDD9wR9NivrMNIg7l84d68G9xTWtclGF7Wcd5lsQOh0lUVmHResHP0IDno++WXVj/mpvFwDaRyBxoHKdn3K/Ug6AY7k/Nmqvcbh14Xg1LgHAi/K2kHbJxr+Tk+mdi3phwARhNibuc5hcVPSg7BFPm0brmWwPlNBjL3blkL1mbcCpuAOz1q+6Ua4dJ5SJHysw/IsoFTnOipFCicniKj6u1bMKir9U8f1UN2ZpQmXOUaTRLWnZ+kFqeQtdB7zRBKairHXtV5X4x1CkMmY2jya2zy7iyrFZ2Ohze+4RmFimIZ5pb8yoyiiVtYMi/HqmUn6EGj/DtTwqLLW5rgOe9gRuha79qhL/GE5wu+Ab548k+mwR+YKCCKu401Lw1OeFAXijFnJgW/Cuh6sk7MZMlgwbGW2MDoahyo29UOOH8llz1KSDfPLCLEBV8GXhn0QvtisAqldkkxqNty4cx/c3z+LWheOJ28kTVnGnpeCNx5E+i7WQg203neDgVhszpodYahTRMqyjjKrQzZPFVVyZXiJvGKrc2As1fihb3VHaNlLoxStdtpdfIgtQHhsZ+CfRno5c3WsS0i7im5aCNx5HQ1z8Ro8FmGD3Gip08+25R6i41UKvOhmGMhFq/Fwc6kc3UY9J1AVD9xpOfnTcEYmE1TsaElDviCmrK9NLQuU8rOI2MTvhabdnTjPepxlszgBVo+ejMwOxjZSsjakK3cy+Q3Sh10boMEZCjZ+RQi9eJeoxibpg6F7DyU+U59dBcKMicjwvDvUjZ8HLaaUL7eb9A9rrmfn56hDL7swW37EERg8ja2Oqwlul2iMmY4xEr0vCb3tlxcOQleeIQ9aUy+jUPH7cKMGxLWGJ764PHxEmH6qMTVkyHdR+KgZ0luexv49Z+YecBVx9/500m7YLkYuvLmNKZQ6kgYgxCpJvkeuSsMKmjOE7D7DwZAODh/KY/vBU0vbFQqdsmo1I8xmyVrzzrUszqNTE/Mb51m5f1QUfqRTEjEtQ+3V/Jh3w93HUeZtmYdOswuttU9w6GUnlmyG9sCmDT3SYlsWbBc9Fms+gY9BgM1jmcQBC43RGp+bx1qUZjE7NJ/qcMLskyrvIoPbrsjvXmaA+phbr027wejurcyAtT7XodUm48cNX6k0jwyiQDcXrfwbKi1+rtqXd9u//9tz7WWSczucL1SKnn9dqfTWjWR+EmdSyjeEkYxTU/qDfpS0HWcPfx1nY9OkOr7eztolk+OVM1rzWLsPz9Ien0O1U66WmtQvJgtDppNhatY1K253OXGpGcdI+kG3Qq7puS0EOsojouLY0yIJxnIW1pxUqawXKREp5i7EzA15kv0EMlL1ZrdqWdtuZPF59722hiinKteKkfSBbqaq8bktRhnXn3uIaXAAvtl1tF15dF9F2I41agTIMY+EBz4wsBB0b4iNq/JN+Tpy/DxsIOvDJLEovK3A6c1j+1zOR2yYb6nMwbvuoP1cajE7N497iGs4d6wmdeZxawHPWLlrohIo5leQ7klygUBbwzDBWfHsjavyTfI7slO5X33sbecfGno4cSVc99TkYt33Un0s1cQwfirTDkZEMRHhFqB97y/AuSTN+jIu7vRE1/kk+Z2J2GRUXsCAnpftIoRfPt8rYLJVxdXpJ+OcnhfocjNs+6s+lmnuL1cD7e4utA+8NtIljyIgwXKgfe8swjKUdexkMaRP3WCrKccDhsRnv5zA5hEQh001tjpX0gI2TbQFPfi5Fzq1G7djLEO94xxwXNkf5sRcgL3pf5q2ALNw4aEW7POPWy2oldxHFTBvBp3ZQeQwjYrfXSA6SHjWKlq12kNc4sHF68nO1ZtaPz7ZSbpEhKXG8I+a4MB5SjR9WwXdCcL4fmeeT7RBP0C7P6KKa6l/mrcPpD095BtCv9nZJ+x4/ItzUjeQgyWfLkC1q8krFGGM15gBTrZsSonNmtTuy5ptU44chusSezPPJdognaIdnfKNmiBx9My9dkSymkNVchJJsJAdJPpv/TFFKS5W88u1t1nYqxthIoRfnjvUgZwHnjvWYBZMIVOSDApPFVfz3j7/E4bEZ9F+a8ebT6NQ8Do/N4PDYDAY+mfV+HzTvZPWn1JifyeIqPp1dhovq7ttMToMKWH05oLoj/v7m2Uh/HzUWYuDKlyiVq/NIxzo+UWN8wr5ft/pefHtdoGHbqcRYjE7NY7qWXTxOH5uYHzlQkY+0mCyu4toX33k6kYfJKV9vkcexLZTKbp08J+3PVGJ+Rgq9eKXLxmapbKzgFAiz81btwp8sruLo+H0cHb/f8jvjto0ZPkB1Rywaf7uuvv8Ouh0becfW0psWdWcV9v0UPYzNZIpvb7O2Uzma4G93UerjdoeKfKTF5btLgYaPzR3NNtLLpbILC0Chb7/3O1n9Kf3Y6+JQP7odG8+3yqmfkbcbYRYp1S7a23OPsFkqhzKI47bNzu28ysh74m/XSKEXD8dP46MzA7g990g7OY9qpIR9P8VFoJlM8e0V2XZZGwx25DU8qO7Ii0q8UxR0bHMzqD4PK/Tsx7Et3Dh/BI9unvXk9NaF43g8cRaPJ87WXRoBqhnzpxfWcHgsedHoZkg3ftjDbpbKXqFTqoNHmTh9FmaRSro7j9qui0P9yDs2uht4SfjPi9O24TsPUK5UDZ9rHxwJ/XdRaNQuXc/6oy70FI2asKThjZIhF5PFVXy9so7rw0eUJjbUUcZ1bHMzqD0P09nTtULPjH2v2Hg8cRbL13/bVFdMf3gKjyfO4sb5I15dUO/fFtak2QlKAp4ZrF8oDZ4uhlicPguzSCVdyKK2a6TQi8Xx03g4fjrwO/nPi9q20al578irXIG0xblRuy4O9cPOAX/dKGH4zgMA+shXEnR6xjQMN7/BlbS/ZGcub4Ys41GmDFE8fk0Ctee59sV3eLpRQs6C54l8PHEWC78/HelzmAd9eLD+SOzy3SUpHiDhxk+QEI+dGYBtVb0/w3cekBo8SoZYMyj1GY/odiX5PD4Gwu9KVcFIoRflamoh7+aXLvKVhHZ4xiT4Da6k/cUylwPqY31kGY8yZUhnT2UQVJ6HrfUsvsd1q5dLknoib104vssAYoH9IhFu/AQJ8UihFyz+aeHJBpnBA+Ivtqp3u5T6jCduuxr1X5LP29NhwUJ15xEl060sPqvdiAqSL528Ja2gaphTJUl/TRZX8axUBgDkHZucPoiLkSG5yNA3LI+fXfP4fDAo7nLJrQvHd21gB658KbT9wo2fRkLMHqTDQqibPqqIu9jyRl6WFjJZ+Puo2U4vbn2bUtnFG3kn1eKO/I6l0Le/oXzp6C0RbbC2K0n6a6KWOsQC8JHE5J0yCZKjrMkQtTVBtL7pvzSDzZoR/lqXLcTj42f6w1N1+rRUdnHtj38R9vnCjZ9GQjz94Sm8kXew7SITV995I0/HhawRsiatv4+a7fSi9ufo1DyebpTgdOZS3zneunAcb+QdANVjuEb9qONON0tyriO816dbY69PVuWI153UnlGkvpksroK/yd7KCE+ypviPwEovK8Lif5QGPLObPrZVTSAm8xqbbHgjT8eFrBGyJq2/j5rt9KL2J4v1eVGukFgQWNmBits4WE/HnW6W5FxHsuD1AbIrR7zupPaMIvUNX67KtlpfLEm6pvg9SqLif5QaP+ymT9nducufBVQtZCpcqbImbZQ+ivLe4TsPvOBPGQkN4zBS6MX14Z1r9p8bOTckZHRq3jtm2Kux14d5RbKY/ZjXne0wV7odG49CZM8Xsab4A6BFoNT4YTidO19L5UyUEjKqbYdFt0nLZ3NOM9bHz0ihF45drWrnAlp7OQ3pw99klFmoNwlhNmdRdRi12Jlm6KY74zJ2ZgAH805oORTRL3wAtG2JsRtSMX6uvve2V+z0U8EV37OAjGrbWWSyuIqafZHK1fZWXH3/He9nfvEyGKIwOjXveTdVZnOOShjDJqoOoxY7084wQxRAKkYeixsuNwkniEIqxs9IoRd7a5kcN0s7ZS90svJlIqPadtYYnZrH5btLKLtV9yuFq+1+Rgq9nrt2j51re7k2RGeyuOqFB+QsWt5NP2EMm6g6TNcNn4hEltTWQna1fSJFh8VFTg6ShhOkYvwAVddZzqoeCTCr3lj5VYyR0xx+QQDgeREpwm5/lV5WcGV6iZQyywIUFwmR8AsNlZi2RsjQWzrqQhEZuCmuhS/K23WvacDLQUBR+EikZvywoFDeqtfVyjeo5bZPIVC/+cJ2KxW3mgq+HVBllFBcJJLQqN/yjk3a6xOXLHpIbs89QsWteurirmXUkqOOTs17mZy77A6l392MJEdfqRk/wI5VDyDVs8SsQlExiODiUD+6HRt5x8aN80e0kpdS2dV6PMLKlCqjhEqGdlGfx/cbu+HldObIG/hxSSonFI1fJpPXh6u6KY5stEqOqtqLzMcspi2Lh/Y53s9Jboynavww0hZgFUZCGoZI2v0qg9GpeVyZXsLQwAEsNiiOSg2/p0rn8QgrU6q8uCIytIeh1fwVNddYvxX69nuKnUr+KhkklROKpwWia7nx8DnEVOqRc8d6vKKlacvig7F3YdcsFzuBBUPC+FEtwFFKLYgiDUOEomJIAov1qbh63Z5i4zA82KPFeDRb6MPKlH8BoOaFFH3rSNRcGyn04ndD/XXyTT3WJwlJY3p0iAkSqYeDwkVkwebs6NQ8vl5Zx/XhI2SOXu2OqulSrsS/9m65bviwoRMnTrjffvttrC8Kw2Rx1QvwGzszIE2gT978Ck83SjiYd/CnS+9isriKzyQn3lLxHa2+/3Yt8ygFRRG1PSyIkL/yK2sinjhxAjLlfPjOAyw82YCdA659QO/Yzj8/qH5mELLkXNX85eU8Z8E7OpFBVDlP0rfU9E+a6NIXbM4yT5PsuRuFo+P3vaSfrdplWdafXdc94f89Cc8P4/bcI2yWytgslaXm/4lSaiEIkWe4qqB2BBa1PROzy6i41ZtdN87T2YHEgSVmLFdoHoHJ8Biq8kLKknMV83f4zgNcvqvG8IlDkr6lpn9UEbRWiC7qLAs2Z7traWk6CF2rHTsz4MV9xtUppIwf/g4/n/9HNEkVWZyJ7Bdq1UIue/GJ+jxx26Nzan8GS8iYs4DnW/LkPC66XlmeLK7il60yuhMoxDThs5VTM3yAZDoka0fwYQlaK0QWdZYJm7M//73qYXnycynlFu0wUujF0MABPNsq45uV9VifodT4abVAjhR6ceP8ES//j4gsjjKIM5H9Qq1ayGUvPlGfJ2x7mMwMDRyIlFKdMtMfnsLjibM40O1gs1Q2+X8EwTzHr3XpZSAzGWe3WAYP5Um2P4kOSdvznRZBa4XIos7tzOe1+M+4yQ6VGj9hFkh/UUiKga1xJrJfqLMm5DKeh2VxfrpRQnFlPXPKM62bG1mC31DpOKd4Gd92gccTZ8llK6d0FKMbUdeKdjUS41CLefZeoyLF+Gk0WaLcFBFZFoDCVXa/UGdNyGU8D2/46rSgBREkH/zNjULffrPAxIDfUFGZU1H0jQ4yTukoxmBgvLrHrnuNihTjp9FkiaKcRJYFyOpV9qxDKbeEn6gGdas5Mbf8E55ulPDxXXMEFgWK3p6wuiBuwdKsxQsaaMOKR9uCAp5FyW/U6vJ+pBg/oiaLqGMBkZM3qVdL5HdmEf5Zb104ju9vniV5syuqsRtWPvhad4bWUPH28IQda+b1iVqwNGvxggbabLv1r0kRKb9JmiTF+BE1WfzHAkfH7+Po+P3IRoDIySvCqxUG3ghoF6+SiIKAqohq7LaSD3Z1084Bf90o4fDYDMlgf0NrWo316NQ83ro0g568g5wVPYlhmp4Y3Tdiurc/DdgVd1FX3aPIb7Px+rgWK/fx3aVY7SB11T0Ipki+Xln3cgCleTSQRr4Snd3OUZSNiIKAqhBt7I4UevFw/LR3DAKID/Y3ij99+CzlaxulWJ7NND0xum/EdG9/Gtg1q8cWZP1Ekd9m4+X6XqNC3vhh8DmAXABXP49n7SVFhuIJWpR4g6fRd8pYzER/5sTsMp5ulJomrWTfebJvf11BwKTouNjzXgDRZQ2M4t+NShlhN7sYOpatoHa8ryq/WFtjWfWvCYkyZkHjxf7+lVoQ0r5XCAU8y4DlAGKUK8DAlS/JLGxJlGhQpd4wRpaMxUzWAtnMOmff2ew6e5z+1XGxv3XhOB5PnMXjCfGxTkbx70aljPCePF2zlMv0OsUZC1n5xQw7lLcrda9JiTJmQePF/r5UdtHt2Pj//jOhgGdZjBR6vey4AFAqu2QWtiRKNG5gtw5lCJpF5LPYhzf2drX8zjj9q8ti38qwE+WdaKb4KXjJ0miDChnxx/hQvL0YF5FjFmcsdJnjOlOu1L8mJemYsfXSBRKVwkq1sGncAm+jU/P4fGENXbaFfz5yEF+vrKdeJC5p4cO0C5+qZrK46h0B5Czg+5tnW74/Sv8kKR4ou7Cpn1ZFP1UUBVVVeJR6G0TCX1YAwsm5SkTIedbGzLAbVoh58FCeTALOyeIqPr67BBdAt2Pj4fjphu8lWdg0rrfk1oXjWJk4i+Xrv8XXK+skjjaSulPbxR07WVzFwJUvI8c+RO0fnY68Wu2E2L/LTIRIYQetqg2qkp6ym4tOZy7WrS4doCA3Brk8fbYFAHj4w4YSr2yY+TlS6MUfzh9JlOcndc9PUm8H+4xC334SHiBDc9hOkXHjvJwCjklkS7XnJyys77odG6922UbWYyLbWzE6NY/pWr0hC8AfBMp4Eo+mH6pybqAF72XJOzYWm3hZ2PuTyKjo+UnS8yPC28FfhX+6UcLlu0s4PDaD4TsPBLbUkAQW8zA6NY+LQ/1wbAsWqgUcb889krKbyKInje2yAewKkDeER5a3YvjOAxwem/EMHwDY64gtsqqTR9OQDUYKveiq3azaKm+3fH9SGQ0zP/k1JS7KjB/ZrmYWBMVYeLKRegCnoT6vyb3FNYwUerF8/bdYmTiLp8+2jCKPADPoxs4MeAHyH99dipX4s52RZRgvPNmo+3/Htpq65OPoRHPMZEiDPXYHAGCr7LaU16QyGmZ+3lvcWVPiosz4kb1jYdmg+TokaS6sURWbCOOQwo0dHhb3wPDHPBhFHg8m6/yNh2tffJd2s9oe/ibq4KE8lq//VniqCpU5v6jRDs8oGpF1tIBajr3p5jn24m4uwrZ1sriKPR3V04MkcXTKjB9+oZMlxCOFXjy6Wc2Rck1AWYwkRFVs/vfrnNeGtX1idrmucKM/r0kWj6ZUwQwgRqns4vDYDAY+mTWLgyLYMRc7Yp/+8JSXoynMrRiRxj+VuR+EKH1P+RlFo7rPWn0fr6PLgmp8+Qnb1onZZS/HT5JcWcqMH36hC0rqB4i17IPKYkzEzAcQh6g3dPyKUMe8NpPFVRwdv+/VXLEA7yiyuLKeSpuyzEihF8ODPXXHvaWXFTKxQFndqU8WVzHwyax3zOU/7gqLSOM/7bnvR0ZtQmrPKBPVfUbBsIw6vkltsFRue7HjkIqLuohuGbcw+Ej1zg4LL7ddOJ05XH3vbSUeh7jPpFveH/6GC1A1ephnQqfnAPS8BePvfwp5V7KWA4Yt5L9sVTdTDEr5T6IgU875sf/dUL9SHdDotpHIm3Ky4fU/AOntDrPepJHvJ2jMoq6NjW57pXbVPegBZC34k8VVfDq7jA1OYTGCjmNEotKIkTG5w3wmn7AQqCadGjszQF7BNEJH44fhl7c0Fb5s2Vf9bEfH72OzVIZjW4BlofSyIl1/yESmnKe5eWtkdOtqjFNq92Rx1TtBUaHj/c8+OjWPe4trOHcs/LwjZ/yoxp9fhkdWrhnVyJgkYT6T71udFwOGzsaPH0qKkyHKaFHxbHxbJ2aXsVkqh8p1ogNZkXO/PDUyvHTzpjMotZvX9Sp0Cv/s36yse97tKNnSSeb5iUuSK6LDgz1wOusfe2J2OZWgaNGoqPU1OjWPw2MzODy2k2OBvSdOscasxoVQIexFA5W3E3WKAeHbyurUfRQzo6whOUFy55enZrFUMmJ1ZeswShdDLg71I+/Y3m3qJHl2gHCB1szA4o/1RWRLJ+n5abUzFLHjY0dh7OnZGX6rOiHtCqunxkuLiFpFFD0TWdkR++F3bU5nDns6cp7rutE4NJqL/piOKJ4cUTtZGcdeLK7BzgHXPtAzZi0sOsq5X06jHMPI0jUUdZhsDo/NeD8nOTkJ23cDV75EqXbNzOnMYflfz4T+Dq08P612hiJ2fCOFXiyOn8bD8dMYOzMAdmHGwk72yOE7D9reKzE6NY++WtZav5kswvrO8g0OVV6tRt/j/z2fCLT0soLNUtm7GdZoHBrNRf79UT05onayIm+osJuK7OZWuVI1eijtunVF5DwIuhW7WSrjta7WmbRl6Zos67AwJJl/YbM5l7j79Vffezv29/GQ9fyo3m3x38luovE4toWr77+TeSXovzXkpx36QdSOWNWOMEqAJ9spv9iuoPSyAqC6k3pRruDom3k8fbYV+WZFWjEJIr43yKMJwPP8GDlPjsx5QCkeRiVp31xj86YjB8AFtl3gAwnxnv7LNHFiSts+4DkKLKL86Jv5uhweFqq1enS+ydSIyeIqrv3xL96CyGMB6GoDo4chalFQpZjjBniyf/+r7yIAM4ai3KjQgcniKq598R22yq6nqN+6NONtdGTP77QXLD+qjJ92NVBkQuWozX+R6PFEsjAIHv9GPO5lGmP8xCRoZ8iSF0a9chcHmQqT/2x2hOCH6u0tmf0ie1Fo1XbViyRv7P/4bMszhlhMF7VFOw7+HSR7Nja/VRj3VBYshmg55+UEkJ+bptF36yqjUaBiUPrnlSjjx/+5SeKKjPGTED5AeuzMQN3RGPOM/PORg/h6ZV3oBBSlMP2KiV3bBeCduTLPD1WDh0fmQiLb+GnV9rQXSX8uDf/ujrJ88N6dY4d2jvH8xn0az5B0wRK9wIuWc15uXUCpDKc9Z9qZwf9xHz//vYx9r9j4f/8/DyRyCgSFXSSdq21l/KjYBbAFgo8NsrD7KmXSgUuqMP3ClHdsvNJlewsBy8Ss225J5s5HhecnzHFU2rs6vj28sc9khsUOoaZD9tgdSo+E+Zs+QwMH8O9Lf60LjGQw435idhkWgI80PbYWvcDL8PzwWYlVZ3WmNGfaFf4WGBB+/WsUayoiB19bGT8qdwG82xzALuVrAfjD+SOeMfZv//M/sfBkAx1W9d/iBIrxQautFh4+pgHYyb7Me7GMsqhHxyvASQlzFMd7Br9eWQ88JmUlZA7tc1B2Uedp/GWrHFrePRkvbwOWVXctn/273yDzb0SOHaoe42VlQRS9wLejnBviEdahMPDJbGDcKFB/iYB5aEtlF3auervSjyjvbFsZP2nePpmYXcYvL8reYDq2hX2vdXnGmD+4FKgq7nPHejC9sIbODgtuxUXZ3VHow4M9+HXffm8x2Cq7gcm6gow9ZlF3dlh4pVPtzlxX2nFRiLphCDLAu+yOXSVk+CMQHse2sMfuwNDAAXy9so6Tffsxt/yTZ+xsvazskvGgOoBA1Zv5m5rnhw9mNjSnHeXcEI+w+oE3auIiuvZmWxk/FGjkAm7k+fEfofHkLOBAt7N7AenM1S08urrzqdGOi4KoDQNLEnhon4NtF578fzq7jOdbZfh1IjPw/Z4bYCeWrpHnxxxzJKMd5dwQj6jzjYWF9OQdPPk5uKwUw84Br+2xpa1fxvghDu+haeT5+XR2GVvlbWPoSMYsCvLgj7O67A78ZuAAiivrKPg8P35jxyAeI+cGVbBNEcO2gP/W7SjZvBjjx2AIiVkUDO2AkXNDO6BVeQuDwWAwGAwGWRjjx2AwGAwGQ1thjB+DwWAwGAxthTF+DAaDwWAwtBXG+DEYDAaDwdBWRLrt9frrr7uHDx+W1xqDgQCPHz+GkXND1jFybmgH/vznP7uu6+5y9NhRPuTw4cPmaqQh85grwIZ2wMi5oR2wLOt/Bf3eHHsZDAaDwWBoK4zxYzAYDAaDoa0wxo/BYDAYDIa2whg/BoPBYDAY2gpj/BgMBoPBYGgrIt32UsFkcRW35x7hYq3a6+jUPO4truHcsR7cunDce8/E7DJ+2Spj2wU+GNz5N4PBkD7+ecxXc99jd6DbsfHk5xIGD+Vx+PXX8PnCGjoswO6wAMsCXBd77A4MDRzA1yvr3ucYDGnhl2mDGFi/ll6U8fPfywCAwUN5PH22JbWvU63qPjo1j+mFNTidOfzzO2/gj4trKNeaczDv4E+X3sVbl2ZQcYGcBXx/8ywA4OTNr/B0o+R9Ts4Czh3rwfTCGuwc8OoeG2NnBoyAGmJhrgAnh83RnAVcHz6C23OP6uYsT84CKg3UEPs3pg+YojzZtx9zyz8BgHZzncoiauQ8GkymmSzqBC9zAFKXv9GpeXy+sIYu28IeuwObpXLLvxmO6eQgU9V9sriKkze/wmRxFZ8vrAEASi8ruMcZPgDwu9ognTvW4xk3jItD/cg7NmwLsGrvubdY/axyBdgslXH57hIGPpnFZHFV2bMZDO3AZHEVR8fvY+CTWQxc+RJHx+/vmmcXh/o9w+WzmqLNOzYc20LesXFonwOgusM7d6wHFgDbAhzbgtOZ89537lgPDuYdTx8wI+re4ho2S2Vslsr4+O4Sjo7fx/CdB+gbm8HAlS9Jz3v2DJ/NPUq7KYYIXBzqr5NFneBlLm35G77zANMLa3ABlGqL/sG8g32v7BxEDR7K7/q76YU1ofNameeHeXkYB/MO/uv5lvfww4M9nudn8FAe0x+eivX5dq5qAPHfo5uVniZUdqVpYnbE9fC7tKvvvxPoxQmaZ5PFVXw29wi/EyhL7DMLNc/Ps1IZQRqMLVITs8sAaHmHZPRLHGTJudEh9OBlDkBq8vd/XPkSfy/Xz9gb548EtmP4zgMsPNkI/JwoXqBGnh/pxs+pia/w5Od6Rclc4UDjQUgygfjjtKvvve39fVD8kKEenV27ojDGTxVm9PAagjcqXmxXvNictIyLyeIqPp1dhgvgrddfw+KTjUAjzQLQYcHECHLIknMROsQYUNljsriKy3eX6n4XxogJ0kNAY6PJj3Ljx+/pYfgNkkbIWISD4odEkoUJS2VXGhcRY9DOxg/ff1eml+picZyaUUFRLoLGnQVZ+71DFoC9TtXFLspo03Huy/T8JNUhZhOWLfxenFdsC//X9d9G+owg4ymMAaTU+AlyVx3a5+DBWHghlrEIM8/P0TflRJKbCZs+Isag3YwfZiQwNktlHMw7KPTt9zYwecfG4vjptJrYkmbjzrxDz2u3Q7tsyztuB6rGUFJvkI5zn7Kc674JM+zgN1rCemzCfFa3Y+NhC72kzPiJa52phCmqbsfGq122MCPITNj0ETEGlBcFUTS6bZGvzQnWf7rIdJR2NvMIdcX0bunSTzztIOeG9Okbm/HmmW0BjxKeuvBxQ3YOeHSj+ecpM376L83U3dqKez1NJkxRsYDrMNajoX3QbVGIcuTCvJ/8cVbeseGiuvh/RCgwWCZerrAXZWxXEHgspiqOKa0jM2pyHrUfdDxqbEcOj814P4tyhDCDygKwMhHP+BF61X34zoM6w+fG+SNCDB/+erwIRgq9+NOld7HH7gBQdfOPTs0L+WzRxHl20f1loE2Uq6u84WOhGsfz0ZkBPBw/jcXx07EUk47ydnvuETZLZfy3vQ5WJs5ieLB63R6oGkKbpTI+nV3G0fH7gVf5RbfFXH2P3g9Z7zcd55Ufvu05C8KM1A8Gq6lvXCD22i3U+OHjfAYP5YU9qCwhHzsz4P0sOoeAKOI8expKIQsTVVea5R9hOXnYAs7yZg0P9mBl4iyWr/828TzVcRHy99mtC8exMnEWN84fQd6x0V3zhrFcQp9yMVGy26IrSXVA1H4Q3W/UdJiO88rP7+995/3MbniL4NaF495m5fOAi1VhEGb8nJr4yvvZthA5T08zeCEXKaAjhV4MD+4kT7z2xXdN3p0OcSZ4Gso0CxNVV5gnM8iImZhd9hbwz+Ye4daF4/j+5lmhR9Gt5I3aogI07rORQi8Wx0/j4fjpus3R862ytASKzcaPkUYfRv3OpDogTD8keX8rorY/yZiE+dssGMUvt3eOgqgdTQozfvhcPtcEWnhAvZCLXmT5RaBUDh//pIo4E1y0UghDFiZqVhidmsdbl2bq3MEWIG1sWsmbrobxSKEXN84fwcG8g20XXkbaK9NLyg25NPow6nfqrgOitj/JmIT52zT0uGhYpuagjM1pI6W8hczBujjUj27HxvOtcmwFRHEnqjtZmKhZgcX13Ftcw9iZARzMO/hDijcudV4UmVx/wMUEVdyqR02lDkmjD6N+pyodIEt/R21/UP+EbZvOcyIKh19/DTmr+iqaYzWD6lhMw0rYbS92y0vEVbZWJM2p4f97Phr9cYvIcUP2iXoLJu1bJ/7vN5nM5cFuij7fqh4lOraFF9tu4r5OQ4ao3fYKC+WcSpTblgb8Nfc4ZauacXT8PjZL5ZY5yKTf9nq1q5oxdduF9N1QUquZ/3s+VslgiEOaxzqjU/O4fHcJTzdKXlCujLgeQxXmHWAetVLZRcVNfmFC16PBNKDsNaHctjTosi3v50Z1upISN1hFmPEzdmYAOavaENln4kndq+zvgfpYJYrnktQxR4jpKbzJ4mpdCRl6EWvZhekQh1PuUQwX/7zJ0qIpWycE6X8qesgc/9dz9f13pHzu6NQ8ntU8r/zFhCgIM35GCr24PnwEFqpn4jKvhoYhzGS4zSkrC2JvqLULZseansLj5TeJEmgXZCyQV99/x7sa/7uh/sBg8yD88yZLi6ZInRB2zIweCodqI9Evz8N3HiRuA6sb6gJ4se3GnjNCA55HCr1ewcCNUvyAZBG0mgyjU/P4caME26pmuP3DebE31CigQtCztGONQlo7Tf57Wd/fOH9ESL6erCNjgeSvxo8UeuuCzZuR5Xkj8tkmZpfxdKOEa3/8S9P5luX+FEkaRuINbm1deLKBq9NLsdvgL5h+7lhPk3c3R/htL3b8BQCX7y6hb6z1LkgGjSbDZHEV//3jLz3LcdtF7My21FEh6FF3rFTc00lJK5HkFU5xiPAWyBgPWWMsMomerDayJJJH38w3zQ6dJU+PHxnPVnpZaTrfstyfIknDSBwp9NaFlLCLUVHb4D/mB5AorlG48cOOv5gB5KIaDKjaAGp0Lnz57lJd4qUOC0KVIKXFneJuKCvu6VZZlWXI1MTsMipuNU28qDGVMR6yxph5ASZiHqnLzBfGYMHmT59t1SWXNMSDBZYPD/aQ02U6kpaROP3hKdictVF2gX/7n/8Z6TP8SYj5BMVxkJbnx5/KenphDYfHZjB854GMr2zKZHEVA1e+3FVtvrPDwqtdtlAlSGlx5wO7dTDIKBmOrWimRETLAFv0X2xXcDDv4PqwuJw9MgzkOJ8ZZeytlu9ojeyNwcWh/rpYoKyQRszIny69i1sXjhvPjuZc++BInQG08GQDh8dmMPDJbKA8sdI8A5/M4uj4fS8JsYVqSpqkt1mFV3XnmSyu4tof/4LSy0rd77u5ismy8luwqs2MzVLZ+9lCtTDarQvHvbwdvxP0/aI/TwS65J6g0s6k+U9EyQCbGz8/30Kp7KLbsfGwST4LnWFj3+3YeLXLDtQHFOdWWE5NfIUnP5dwaJ+DB2PxZVukvowj51TmqEFfhu88aHnt3c4B5XqzAU5nDi/Klcg5tRrl+RFu/ARNzsniKq5OL9VVfPc/XM5Coh0tM3aelcq7rvzmHRtb5W1slV3P6JFN2onv/G3RYdGg0k4Kyd8mi6v4+O4SXFQn/T+8uif1fpGJP3lg1hZXPpHqjQTZtkUaH3HkvNkcpaTzGqFDG9uBMAYQD+8wiYoy46fZ5JwsruLT2WWvWvKuxgDY69gYGjiAf1/6K0plt+omc6tnhI5t4Z+PHMTXK+s42bcfc8s/4UV5G3vsDqDJZ6aR2t/skOQhW4Glbfz4bzRk2ePDw3tr4yo6qjDPDyNutluRGwTRcq6DzlPRxnYzsPzPG/X5/foOqDpH7JyFLrsDHyXUBdIzPDOanaXz10JZ9Hdnh4XhwR4vQeJmqYx7i2ve+V65As9jVCq7uLe4hqcbJdxbXMNmqYxS2fWMnrxj18UDOJ251GoaUQw2zgpU4qpk3ZTyGz5h8/foFDMVxO25R9gslfFal639ouEfiwdj7+668tvoJljQ3zPSCljNShVyFW2kop9U4X/eqM9/68JxPJ44W/ffoxtnsXz9t1JvYkuN+YkC7xVq5fkprqyj0Lcf/7H8E7bK20KsQ0N6RN0pyD4eC7sjFr2LZLcRGcMRj2h12Hk3g8qxpwjYWOQdG69wMUx+d3+jukQqxjKK50d32VJJluQ4DP7npfb8yo690qDV4tlubkjdoKZYwy4KIie53/Xbqlif7PYYktEshok3ctnli69X1nfFScoeyyjGDzXZMjrdEJZMGz+tFk9qi6uhHmqKVXXMj9/jk3fsQE+mUfj60Ui2WcLKCqd+VeuntGPbkpB1na5qrreDTlEW85MGrc5xdTiL1hk+HiBO3EmcOAbd41t4+Bpdw4M9Dc+52y2WwI+OY95Itv3JYAHgV3u7FLdOX7Ku01XN9XbWKZkwflotno3+XUdlShF+AplJGx2+RlezGB+WOO/5Vrp184B05k6WxhzYnQx24clGqP40eiv75SxUGXdZNyKbkQnjJy5JlKlRQDvwE8hM2vAwGQIQSpGPFHrxSpcdWDJBtTw2mzuy2pKFMfczUuitS9MfpnRH1oxAw25UGXdZNyKb0dbGTxJlahTQDvwEMpM2HP4ipWFpJLOq5bHZ3JHVlpFCL3431I/bc48ytem4deE4uh0bQLjSHWkbgWbjJ4e4/WrGIx7SjB8dBiTJApq2AkqKf3x0GC9qxO2z0al5XL67FKtIaSOZVS2PzeaOzLZkddPBCnj+ZuBAS5lK2/DP6hikTdx+NeMRD2nGT9YHJG0FlJSkiakM8frMn8RQVJFSSvIosy26bzoawfrs65V1PN0o4cr0EtmNiIgxMJut3cTt17h/1+5jIM34yaqSygr+8THjFZ04fcbHdAwP9pAwVnSCkpEng4tD/chZQMUFWQNIxBiYzdZu4vZr3L/TZQxkGWnSjJ+sKynd8Y+PqPGiupuQ0a4kfZZ3bCUFdg2NES0TIj6PvwJfcUF+YYqL2Wyljy5jIMtIa+uAZ5WIUrSTxVUcHb/v1QXy/3+r7w7z/iRtp7qboNIuFtvxUch6XQZ5iJYJUZ/HDCAdFqa4mM1x+ugyBsxIK/TtF7pZMcZPA0TvCqMqxkZGCiv+yK47+/+/1XeHeb+fidllPN0oeUc2zfqG6m6CSrt0UTjtwMWhfnQLzJskUsaYnAAg6Uk1GFThj4cTtVkxxk8DRO8KWylG3tgZnZrHlemlQCOFJbrrdmwvrw7//62+myn8fJP3N4Jdw+X7ZnRqHm9dmsHo1LyXKp1KmQqeNI0OqkeB7c5IoRevNsibFPfzRMvYtT/+BU83Srj2x78I+0zZpC3vaX+/QQ6iN7CZqO3lR0S9EtX1plitGgDeeb8FYK9jYyxixXrR9VqaVe1l9YlyFnCg28lEvR2RNY/4Gk6690sWoVZXzs/hsRnv5+HBHqFxYrJqewXV3VJZQyrrdb8M0ch0bS8/Irw2MnZxzeJteI/MuWM9OJh38IfzR/CwQZ2nZoj2WjULjj53rAc5Czh3rIfM0RIlJmaXveKVpl/Ek3SXT/0Yks/+PL2wpoU3I0gPqIy5M3qoOcYzViWznh9Kuzm26/llq3qMBcj1AlB7fp7RqXkvz03Unayq3aOoHTH/rHnHxuL46cSfaainHXb5suRIZVV3XicBwLUvvsNW2cUHgr1Z7U4YHUl9zoTV82Hf11aeHwq7Od66ZrseALHjbaJA4fkbcW9xLfDnMITdPVLZ2fDPl4XbXVT6lacddvl8+YvwW1XxJBl/XifdnnuEUtmFi+g6wNCcMDqS+pwJq+eTehMzafxQgB8YJmxjZwbwcPw0FmMcZWWFc8d6dv0cVqmGnbQUrrVPFlexx65OrzSTGYo0WCj0qx/Khr5IWIqEsRSNaFHjf3GoH45twUK9PtARWRuCuJ8bRkdSnzNh9XxSIy6Tx14UoHz0RA3RbtikfS/iOICKa1lkO7Im05PFVS99Q9RLBVkgqpxnbfxFIGueU9EfWYDUsRdF93lc+KvePNSta0rwFjzrz+E7D4S42NNgdGoeTzdKcDpzqbuWZeSeyYpMx8l5RYG09GeS8c+SzueRdYRE/WgqC6Ti+cmSVfvWpRnvqvf3N8+m3RztYf3JyFniin+GJYnnZ7K4ist3l7z/fzxhZIIqk8VVfDq7DBd6eX5E6U+VAc9Z0vmNUHmd3xAeUp6fpOmq09xF+L+bv+ptSA7rz8FDefIFHoO4ndCDkNUdMkVGCr1YHD8dK51EEpKO8Rt7uwAAv6q96kA7eDIaxUS1Gm8z59MhFeMnabrqtAIvWcI6/rtvXTiO72+eNdc1BcH6c/rDU3UFHq998V3g8SI1Lg71w+ncCXQGslEbTTei9LnqxcdfLiYqD3/YqHvVgawdmQbRyMBrNadVzXljZNWT6m2vuLuBNHYRw3ce4PLdnWzGWd7BUIEv8LhVdlFxgc8X1khP4JFCL5b/9QweT+wYxFGUWzvskFUQpc/TMjit1m8JhHmZKy5S2wyYhXQ3jQy8VnNa1Zw3G6t6UjV+4u4GRO0iwk7g0al5LDzZ2WWpjkFpZ9hYfzBYPQ7rsi3tJnAU5dYOO2QVROlz1QYnu7YeN/fTrQvHkatZTmnlyTELaXhazemoc17mNfh2oq2vurcKwmMBbD9ulLzkYoOH8pj+8JTahrYBUbJ6fjb3CIW+/fh6ZV1KcGGcQFAT7GhQCcv67HTmcPW9t5WndDDX3tOjHYLHRUIq4JkKrSxhdjbfYVWPuoYHe4zhI4mwO8mk8WKyYLLyacw4DoMhCrcuHMcbeQell5VU5oAKD6U5WgtGhgenHfs6NeOnWWfLHgj2+QAaTuDJ4iqe1epwvdZlm6BmyUSd0JRcuLyspFl+wNBeUJoDMmi2IWrHxZohw/Bsx2PM1IyfZp0teyBafT671eWi6vHJQl0m6kSd0Pz7GyWaVMVELVeMBaRafoCnnRcHEejQf2wOACDf1jg0M+6CdLgOY0YVVYY0pTFKzfhp1tn+fxPdYa0G+vbcI+9Wlwlups/nC2uouMD0wloqk+pFeRtANRibiqy0405OJDr13+/vfYenGyX8/t53aTclFo30e7MNUZAO12nM/KRtFKi6aEFpjFIzfpp1tv/fRHdYo+9mAniybz8O5h1j+GhCl71zaThu7pS4TBZXsVV2a+3oUPrdzcj6kYhsdOq/l9tu3atuxNHvfh0+WVzFL1tl5B1bizHzQ8kokAmleaVFwLOKDuMTGBZX1s11Y0Iwo3R0aj5wd3T1/Xe8nzdLZaW7p2tffOfF+VA6HjVX5pMRpv9U79Ybfd+hfU7dqw7wzyJCv7M6ba922UKujKseW0pGgUwoHdVqYfwEKSLRwjkxu+zVlNJJANN2l6qA7YruLa4F7o5GCr3odmzv/1Xunkrlnd02pYXSIB/Zu3W/zDT6PiaCOjl++GcRYajHMR7SjDv1026bFQqeLi2MnyD8nSdqcck74XcOIonbfgpCJBum2M4d62mo4MbODKDbseHYFp5vqfX+hEG3cVJ145LaOEVB9m7dLzONvu/iUD+6HZuk3DdCdN/FMR6ixJ0axEKhf7VNcuhPspUk8dPo1Dw+X1hDl23h6vvvpGL8xG2/ymRjOiTyOzp+H5ul6tn/4vjpWJ8RNvnbZHEV1/74F5ReVjA82NM0FYJuSeFkJ1IL8/ki5Y191kmJyTFFE0VmmNx3OzYehpR7lVXdDYa0yFySQ7+ln8SSvLe4BhfAi203NYUYt/0q3aVJvRf+3b6M3T+7ebVVe5XJxOwySi8ryDt2yxxQIsdJhddE9s4szOeL9Ja1OjqlSJzj/rj1wgwG3UiqB8kaP1EfrNUNrmafc+5YtW4UKxiYBjqc+SZdEP2LWaPFLYlQ76nduNqj8OaV6lALFUdosuUxzOeLNMBO9u1HzgKOvplP3d2ehEZjPzRwADkL+M3AgZRalo2jTIM+JNWDZI2fsDE9rSZcmISGX6+s4/rwEZPBuQVJF0T/YtZocUsi1KxopIpkgyq/i4fCebkKoshbKz3w9co6Ki7w47Mt8puMZjQae/Z8xZX1lFqmX1ybQW+S6kGyMT9hY3rCFCdtdm7e7O91iHHJIknjY5KOm4mF0I+geczLAQCtYq6iEmfOiJZzvg0AlOpOo6tpk+b4aBXzwzqKn8jNbjo0s/5a7R6ZO7zQt3/XvyXZyRgXcHySephU7EDN+NKiVcZfHY6Vk0Dh+fg2qPYCyfo+M8/FQNErSNL4CeqoRpM76aSfW/4JFRf4j+Wfdv1bErcaxcFuRVYmuopjoWtfVEsKXPuCVkmBVmOYlTH2E6QH2uV4kCKqK4/LGmsd9ThFKM5FksZPlI4SpcyDDv+SGFYUB7sVWZnosnfBo1PzXnLDrbLqcOfmtBpDXcc4zjyn4A1RTdpFfhmqK4/LGmuqOZR028RQnIskjZ8oHZVUmcsKWk0y2GkJto4GWxp8vrDm/fzBYHo3BIPgxzBIjnQdY12NNtVMc0V+s0Yr2WWG3+D/uI/DYzO7/hu+8yDyd44UevFql43NUpmU7Jn5kBySxk8Ukirzf/uf/4m/bpTwb//zPwW3LD5pCTZF65wyFqD0hmAYo7hV3IWuY8zmeaFvfyobA9122lmErws18MmsZ9QwL9e9xarh9/Pfy4F/v/Bkw/s5ynhS3DBQbJNuaG/8JFXmbELwE6MRqhSgEWzauL5XVUQ1irMkR2yef72yHqkPRM1ZERsSFfrDsa2616wxWVzF5btLKL2seL+7t1j1crF8bftesQP/dvBQ3vuZxexdvrvU0iNEccNAsU26ob3xkxQ2IfiJ0YgwClCEghMl2O24Wx2+8yC2izssYRYYGX0f1ZiJI0fUZSZqH4jyooqqPC7bo3v1/XdwMO/g6vvvSPuOtBidmsflu0u7fs+S0966cBzf3zyLhd+fxuOJs7hx/gjeyDu4cf4IHk+cxfSHp7y/4WP1Fp5s4Oj4fVIyL2seUp/fKml742f6w1O7JkYjWsVTALTOYim1RRVRPHlx+ecjB5Gzqq+NkNH3KnZ71GUmah+I8n6lVXk8KjJkJO0Fc3RqHn1jM3VxTBaA4cEePJ442/DouZks+2P1NktlfDq7LLTdSZA1D6nPb5W0vfHDEBFPAdA6aqDUlizRLD0Cg0Lfx1m00mi3zMWV0vGAqraI7s+0F0xWe5ExPNiDlSZGD6OZLN+6cNzzDjH/raxjbErzME29JFouk34e2QzPqolaFTmtKt1ZymQq+lmCqqzH+Y5WmW8HrnyJUtmFY1tYvv7bxO2WhezK7KLQpZ26zD2my/KOjcUmuixshue0dB1QPcZmXlzHtnD1/XeEt4E936/2duHhDxs4d6xH6EUGXeRbNqL7IeznaZXhWRRxLMNnpXD5HGTu4pq1m+3CrkwvaX9uK3JHOVlcxZXpaiDkwbzjKS8Zu9Y0iqfGgYL3KQxh2pn20QsgR5b8zyXyOUV5MtL0nvHH18vXfyulDez5Hv6wgYq7E0AtCr98U5DlqIhos2h9lPTzMm38RFFWY2cGkLOqCiPt89Bm7b441I+cBVTc9NuZFJGTYWJ2GZWatuc/T/SEY5O/27GVFzSNCn81mJK72U+YxTXtoxdAjjHpfy4Rz8kqvA+lWOFdFFEupCSF3RY7+mZeqnxTkOWoiGizaCM66edl2viJoqxGCr24PnyERDbPZu1m7dRhR98KGTvKvGPXfZ7o77g99wibpTJe67JJH33wiFa2aShvCl4sGfLqfy4R2e0pVHhPCktYePj110JfSEkKuy329NlWnXyLNvYpyHIjGj0r5TbHxcT8+DDns3rB4jBO9u1HcWVdSFxCs1iINOMf4iKize1UIV0XGumqsOMtuqo7+24RcVFvXZpBxQVyFvD9zbMCW9iayeIqrn3xHbbKLj4Y7PFyS7XDmqDT+hdW1toy5icOaWeS1RnVZ9kszufpRgnFlXUlcQnfrKzjx80SviG+q+bHopXHIsy4tVOFdF1otBtPc3xEJYPc02HBwk4OH5WMFHqxVXbholrKJotej0bo9KxJZY2E8UMpACxuJtm4UHr2pIg6DgnTJ8zwYbtD/2SV1a8shb7ooEjRRBmLMO/VSSm2C5SMUDbfTvbtTywn1774DqWyiy7bUlo+hqejtjJaVnV+ZNHLGaQjVcpUUh2diYBnigFgqpQ9xWcPg8yima36hGV6ZYbP9eEjuyarrH5lQZFp7EijEGUswrw3zYU2SxsEFajIcu6HzbekHtjRqXmUatmX+SzMqrFz1ew/FRda6meg9bxJe+1J+v2ZCHimuKtUpez9x2yjU/NaKHqZRTNbyQPvdQkyfMJ8Rlx+3bcfB7od/Lpvv9DPFU2UsaDkQQiilZKkZhyl3R4VWc79NJpvUfuCz+Lsz8KclCht8aexoLQ2haXVvEl73U37+0kYP9SVL1CdOEfH7wuvAeM/Zru3uKbFTkOm4LaSB+Z9GR7safgeWTLVSKGkveBlmVaylvYO1o+q9lCSuUbzLUlfiD7yipr6hIfy2tSIVvMm7XU37e8nYfzoALviLKsGDBPUc8d6YhkVqhVhmoLLrqSmEQ/wxt4uAMCvaq8Magtwlmgla2nvIP2YI/MdovbFoX1O3WtabdHR2PETVkeHXTsoGdsiaDvjJ+4AXhzqr6sBIyvR260Lx2MZFZQVYZYmTaMjBWoLsI7ElZO0d5B+VB+Z+2VOZWLAVkTtiyc/l+pe02xLuxB27aC8xsSh7YyfuAM4UujFH85XkwuOnRnAtS++w9ONEq598Z2klkaD8uKbtUkTRLsrVhEGbhg5Yd8jMzZOF2O9kcx9/7fnAICV2qtOdHZYda9pMjy4c7yeZcKuHarWGFXzr+2MH34Ao8bx8Mpmi8CNBJ5GipCCIheRtZYKcRUi9edKCm+4JPGutpIT9j0yY+N0N9ZflLcBAFu1V514pbMaaPxy2011rkwWV/H1yjquDx9J7bq9KsJu3FRt8FTNv7YzfvgB5ON4onb0B7VFUPSNhGbEWVQoKPIok4ZCe5sRN95I5nNRMKx4w8X/rGHbF0ZOksbGBeFvH2UvatYZOzPghRdMSIitDAs1z347oWr+tZ3xw3NxqB/djo28Y0fu6GaLoKzFKM4CqoMiZ3V8RqfmtWhvHGR6vygYjLzh4n9Wke1LGhsXhL99uh9hsmvaXb7r2jowUugFO/H6Zasc+e9F6V6Wa6hExLPfTqiaf21t/IwUevFw/DQWx08L7WhZi1Ecw4CiIvcfN/JZkym2108cBSvT+3Wybz9yFlAgknvI/6zUDVrq7WtGkCyyqu6/0bSq+7Zb/xoFUbrXsa261yAoeFxFk8VnakRbGz+yCFKmIgI1/YuKLoLKjJ2BK1/i6Ph9TMwue8eNV6aXcPTNvBZZkxkTs8t4ulHyUh6kXfV5bvknVFzgP5Z/EvL9oqFu0Mpqn4r5GbTY617VnYUSuEDkLNWiDNmr77+Dg3kHV99/p+F7KHhcRZPFZ2qEcuNHlwU7CUHK1B+oeWV6yTOE4hpElAWVH2cWW1Uqu9gsVV3Z3Y4NC9X08T8+2xKet0emnPkDSkWPQ9zF2DjoaaFifgYt9jI9gSr0N68HFp5shPou1i4AictrvHVpBt+EKNOhs8ewEVl8pkYoN36iXGedLK5mxljiAzVzFrxjnqcbJUwvVF9/f+87L/YlymdSE1S+2vpnc4/qciRZqAY1Phw/7aUOkNF+qQuPZdW9pj0OY2cGvBQMBjqokAu/oTw6NY/phTVpnh9VGy6bW5lEFecNA+s7vsxGI2R4DNNe76h7aUWi3PiJcp31s7lHpL0bUeADNa8PH6kzhBgvt91IFcNbCWpamTtvzz2qq7bO50j6w/mdWlxhJprMa9Nx2VMr+cxe01YYaX+/IZg0xoVftGXIvipD/9oHR9Dt2OjssPDXjVLLDWHcdvH6JeymUyZZWe90wHLd8M7yEydOuN9++63E5lSZLK7is7lHniCzn7Oo3CeLq/h0dhkugLdefw0Pf9jAuWM9TY+AJour3jXQoYEDmKvFeoydGajro5M3v8LTjRIO5h386dK7DT+v0fvYkdVFru9Hp+Zxb3GtaRv58Us6ZmGfQSQnTpxAMzkX+XwGgygmi6u4fHcJQNVz8ujG2abvbyXnFHjr0gwqtSVq8FAeT59t1emjRgTpriCYful2bO9IHgD2vWJj4fenQ3+OKLKiW1T3WzMsy/qz67on/L8nEfDs393zOyaddrVxbwEtjp/Gw/HTmP7wVKjYFz4/0b3FtbrgYf67W1VaHr7zAG9dmoFtVb00v9rbVdf+oHwtzC3czDslcszSPlJqhK7xNWm71VWh8jmp9Oltzltgd5BQ7YnhL0EsPNkI7RUJ60Fh+oVneLAHC78/HelzRKHTetcMHTxYJGaIDh0VBlXPwecnOnespy54mP/uVpWWF55soOJW6+hUXODhD/XKJShfCyPoZpaMRYCiMmD95zc2dSArc60VKp+TSp9e5DcIETz6lLl14fiubOr/92brul9hNk3MO/G7oX4vbu7G+fqMzlQ3X9TRod+UHXs1c4NlydWX1nNE+W723l/t7cLDHzZw9M08fny2hULffhRX1ht+RqvvSOOIqhFJ3K5hjr284wULeHSz+fECJbIy11qh8jkp9enAJ7MovazA6cxh+V/PNH2vDsdeDH7OAdUjsDAhAo0+6/f3vsPLWiKhvGNjcfy08PZSOfZpdxodeykzfigtjIbGJJm0lBaBJPIWZlE4PDbj/fx4Qh/jJw5GkevD0fH72CyV0e3YeNhiQdfJ+AGA/+PKl/h7QMbl4cFwBtCpia/w5OcSOqz6BIph+ioqZr2jQyPjx1bVgItD/XVBzAaa8C78qAsdi9GigGx5sy2g7FZfs04SmdAd3Qy/sTMD2utZvs8BeD//X9d/W+e1XniyAQD4fGENc8s/4cV2BaWXFQA789MC0FWbpKxUxbZbrRr/ctuFbaFliog4MmDWO/qQvO1lSA9K3pu0CLMjDnPrLSu0s0xkeQdP1fPD97kLNOx/Ngf3dFiRanAd2ufgwVj4scyyDDRCN6O/GaRve8mCyi0MnaAYYEwRVkJgemEtcgp+3WgHmWikK3QI3GQM33mAw2Mz2ssj3+fN+p8Vl776/jvodmw4nTvLGfPIWqjW53JsC3nHxo3zRyIZPv726E7YNZFKEL9MMu35aUeLXSZZ2g00I8yO2B+AGRT30y79lQV01xVh5NEPVc9PXMx8a01YOc+St7ctPT9ZstgpQHk3oNrLJ6M6uyE9dNcVfBqKwUP5FFuSHjrPN1X6K6yct4O3N9PGT7MBpH4kRrF9lBYIf/+krfiCjhoo9BdFOaKI7sqeFTMdHuzB9IenpH8fRbmiMN/i0kp/iepv3eVcJJk2fpoRtcCqatJezINoNHHS6Cd//6Sh+PgdNrt5wkNB0VCUI4N4WAyajGKmQVCUKwrzLS6t9Bff3xQNTx1pW+MnaoFV1ei0i0mjn/z9k0oRSQU77KToJEeG+KgeZ9Xfl/UFv5X+4vtbpr6l3s8i29e2xk+YxTLNhUOnXUwa/aRT/6SJ6afsMzo1jyvTSyj07cdIoVfoAtHos1TLFUVPk0q+WVnHj5slfLOyLlXfUu9nke1rW+OHh8oEjwMFS11GP1F4rjA4XJZD6m01ZJN7i/XFhkUuECoWw9GpefSNzaD/0gyOjt/H6NT8rrnf7h5MfoxlrkvU+1lk+9rC+Gm1kFK3dpuRZttlGii6jMnV998BM38+nV1OtS2G9mN0ah6VWrYSVmxY5AIhYzFkeuPUxFc4PDaD6YU1uKhmZN4slXFvcQ1PN0q4fHcJo1PzuzxbOhNXZ5471oOcFVxQWiTUN/wi29cWxk+rhZS6tduMNNse1UCJMvF1GZORQi/2OtUqMdmoo23QiemFNe9nlmlc5ALBPgtAoo3O6NQ83ro0g9GpeU9vPPm5vjq7bVWLjPIL/L3FtTqvx2RxFf2XZrRN5hh3U8cSOmY9m7xKyBg/Mr0IrRZSv7LQ5cgFSNdSZ9drC337Q70/ysSnvgPhGTszgHzNAEpDZnSSV4M4RqfmvZ/57MYyiLNo83LJGzBMHx/a5wAA7Bxw4/wRPLp5Fovjp3HrwnEMD+54Onivx+25R2CVLBaebNQZVTqgy6auHSBj/Mg85hgp9OJ3Q/2YmF3G0fH7ylN7Z3Vxinq9NqsTf6TQi1e6bGyWyrgyvaR8nKkdEWZV3qnBe32uvve21O+KM3d5ueQNGLaxeTD2Lh5PnMWjG2d3bXJ4Twf/88Whfq90xeChvGdUTS+saWEA6bSpSwOVuoOM8SN7Ybw99wibpTI2S+WWi4TotlBbnEQRtZ+STnzKiyqrQF1xgWtffKf8uykZlVmVd2owb4/TmZO+mMaZu7xcijq2GSn04tHNs3g8cRbTH56qOyKbXlgLtbk10EWl7iBj/Mi2iC8O9SPv2Oh2bOWpvaktTqIw11134PugVHaVKuA445DmMbMhHvyYTRZXsacjh7xjS/f6RG0bQ4V+YEdkjDCbWwNdVOoOYYVNTVE5g2xUFduLW/Bx4MqXKNUCErodGw/HT4tumjB0L+RJmdGpedxbXMO5Yz1CA1T5MXu+VfViJ5EzEYVNmd7/pdaetORpsriKidllWAB+M3AA/770V2yVXXwwKHYM/N9p1jz6SC9sSnlXblCD7GMpiufl/DNfff8d7/cvtisptqo1xjsjj88XqnEon3MxOSIIGjOryftlMllcxX//+EtcvruEpxslWIBUeWqlW0YKvRg7M4BXumzMLf+EUtmFi53cRzIwa57eCDN+jDLVA5ObRyz8M48UetFdu/W1p4PMiXIgFA3JrNBVi8jtssWaJvyYjZ0ZwMG8g4/ODAj9jjBMFlfx8d0lvNzeOTX46MyAVHkKo1vYeyxUk49aAHryjrTbYGbNa07ctUZVbKcwDS0qHwQP5QBXioTpL5kGSjsqA/8zs0VpLIVFyUCDq++/g4N5p84TKJo0iwzfnntUl9Nq8FBeuhEdRrew93x0ZgDL13+LlYmzWNso1WW/FonZQDQn7lqjahMtLOaHITKWQIe4BErnvqy/uh0br3bZgW1SFTejMyJjIVTLBSV5NKgnis6MI+ejU/OYXlhDZ4eFVzo7MHZmgLScyYq/MrQm7lojeo2SHvPDoJ5aXTSUjnpYfwGoaxO/G8zqboWal/DaH/+CpxslXPvjX5R+LyV5NIglTEI/mTqTGT4AsF1x8XD8NHk9wq7Y/7pvPyn9oJK0dGPctUbVGiXc+JGRWp3yBKNkoLH+YkcvrE3tkLQx6BnTaCf7ztLLasBz6WVF6fdTkkeDWPwFTIOQqTP5pIqya0yJhukHVi+snTAbomBoR2USIMwtg7DKRtVi7G9TOyRtDHpGVe3kx5V9J19uQGXWZxmLH0VjVwQ6PddkcRV77KpMpWF48H3kdOa0O0K6yOmF6YU14WNOWZbMhigY4cYPZSGIg8gFNC2joR2SNgY9o6p28uPKvvPqe2/jxvkjyFnVrM+UDEVG2LlK0dgVgU7PdXvuEUovKziYd5QbHpPFVVyZXgIA5Cz5pTRkMFLorUuGKHrMKcuSDicoaSDc+KEsBHFotximMOgymVS1kx9X/jtHCr24PnwE3Y6N51tlckVPw87VrMitnzSeK+7mMM0xmJhdRsWt5hS6PnyE/LxvxK0Lx3Hj/BFh/ciPJRufQhvHFumG8Nte5jaRQXdE3PbiSfPWYrPvNnNVPVFkQfbNvTByPllcxeW7Va8P9azlYRHVr0FjyX6Xs/QxFLN+Q1TZbS9dvAIGdcTZ7Wbp+JTVlUvD+9PMYyBrrmZp7EQTxYNDwYt+u/bdLF1jFsZUVL8GjeXFoX5yR92t5iMFOUsDE/BMFOoLCGvf6NR8YDuDgoDZ5Do18RUOj82gb2wGR8fve/8/fOeB9/dZmpAjhV680mVjs1RWGvzMvlv1ZiRLYyeaKONxsm8/chZQ6NuvoGXN29BlW1oUDQ2jN0UdIQaNJTvqTvr5IvV/q/mY1WPtVhjjRyFRBJrSAsLaPXznAQ6PzWDgk1kvj83nC2uB7WTtn5hdxi9b1QKMbHI9+bkEAHBRrcLM/n/hyQYmi6s4On4fP//you5vdOfiUD8sVHeEH99VawCppl2VqWi+XllHxQWKK+upt6HL7tBiTMPoTWa0fLOyLqX0hYgNh0j932o+Rm0v9bIVYTHGj0KiCDSlBYS1e+HJBoBq7hqWx6bLtgLbySdc3CyVvc+ZLK7i0L7q7y1U4wjY/w8eyuP23CNslsoovazgta5qnSxKEyYuI4Ve7K3V/XKh9vq7aszRtxii6AAZC8tkcRW/bJWRd2zptbtEEaXPZBWgFYFI/S96PqooW6HCUBIe8GxoTFoBplEC2lg6+KNv5vH02ZaXH+OzuUf41d4uLDzZgNOZwz+/8waKK+stn4U98/OtMjZL5ZaBnpPFVUzMLsNCtVgimzD831EIBI0DezZmDDq2heXrvxX+PdSJM35ZD8pkxH3OOEH1reT86Ph9bJbKmQl09tN/aQZlF7At4NHNs4k+q13kE1BTtkLkJZFGAc9tZfxQFFDWppN9+/H1yrqUtrUSJL7+DcsiyxB1Q0nkhGHPA1Q9R6LrC8kyfhh9YzNeYcgb5/W4ESKSOIpNhzp/IohrcMSZX63kXKRxQBHW13nHxuL46UTrQxj5pLj+ADTbJdJRoOy2F2UoxdEwWJvuLQbHzoig0W0jFsMzvbCTNv/csR7krOoRlMhjN5F1XtiNCgCpBBEn5QOJydZ0II5Ln9IxsCxGp+Y9r6DV4r1+ZBw1brv1r1mBHakMDRzwqsADydaHMPIZ5/NVHP/420UhNkfF0XnbeX6o5TVhbSr07Q91jBQXfmdS6NtfV6eHMTyoT+VjdoT0rFSGC3iKR8QORrbnB6i2/9PZZTzfKmPbrRpEaWTupbbja0fYOPy4UVLqEWwm55PFVVz74jtsld1UZFMmjbw0stcH/vMBhPL4q/B4+p87a15WUsdeqpSuUe47MGVWKu8eb9sCrhFKyBVl3PiJy3YwQLJnUmH8APXHdxaAlQm1Rws6Kbksz2V2/GJbQAXV2l0qjI1mct5/eQblCmDngEc3snXkRWETzCdDrLiNwwvSaCuF/hEJqWMvkcdPItL360hU1+RIoTfQ8Dm0z8Gjm2dJCXmUcePdo3zxwjKhJGON4NvrAsqrTet0lJTVuTxZXMWz2lHXa102vr95loSXpVypf80SvM5I64iHzb1zx3qEXkMXAYX+UUEqxo9IpdtMKeqk3KMS59ogz43zR/B44iwejNHb8ccdt5FCLwYP5QFUPT8dFnYlT6TESKEXN84f8f5/emEN//3jL7WuAC+LtK99y2B0ah6X7y7BRbVgKIs9oQCbR+yVMknGO+1i07cuHCc9B7O66QBSMn5EKt000veLpNnEbfZvYRcDVpH56UYJjm0hZ1Vjeyj3SZJxm/7wFB5PnMWjm2frkidSNoD4atMvt118OrucYovUEnbhiiITQQqbokF0b3En7o5aHSg2j6Y/PBXr71X2t+xA5bhQlLmohOkfXZ9T+9teOhg4zZiYXcbTjVLggtdsUod5brazrLjVneXV998h41aPSpwJxu9aWYJGity6cLyurRuldCrAp4GMnWWQwqayg2UZzAc+mUUO1VgvthnRdREJQmV/JzFgZK4fVGQuCf7+CZJRXZ9TqfGTpcktmqCw86S7Ej5zKbWdZVTiTLDpD0/tHIPlaBdlnP7wFG6cP+Jd4b98d0l5DBCPqrnKy7io72yUHoHCETifwbzsAm/kHW8zQikDbtLPV9nfSQyY0al5KSUuADoyJ5IgGdX1OZUaPzItRF0Nq7EzAziYdzAWcN6fdFIzg8qxLa0NHyD+BJv+8BTeyDsoV+QZFCIX7evDOzFA/LGIalTt5ngZl/mdVDzEJ31FSv0VwalUfGe1+6798S+B/95K5qn0dzMmi6t1Oc5Eo0MfRCVIRnV9TqXGj0wLUVfXWxzBCbPY8nl8rr7/TqI2UiDJBONvVU0vrAk3kEXKHosBylnA0TfzODp+H0fH76d2G0Xlbk7XHaSfoPnJfje3/JP3O3/sXRQZl91XrHZf6WUlszdpJ7hQg3PHepq808DQ1dAJQqnxI7PjsqI4w9BK8fDKyunMNT2vzTosP4zNSXqj3WxcRMverQvH8f3Ns3j6bAubpWpNtCCvlczxTPuKrWpE9mVQxlx26cBCNafLjfNHEsXeye4rPgh/IiAe0S/zOuqWX15UUwzYOewaCx2fxxAN7QOeGVmySFvRarG9XVO6OQu4+t7bdb/XfbcWFfbMr+6xvd+xXa0okspeI0V7cagf3c5Ou/1eK348jbJOhsi5weZnoW8/jo7fx8fcpQNdqqPfunDck72gUht+mddRtzTLZaTj82QRmXotM8ZP1mg26K0W25N9+5Gzqq5cikGfsuH7jj1zUEwVFRop2pFCLx6On67bhTcKNDTKOhki5wabn3PLP2GzVn4lZ+l36WDszADyjg0XrS8L6KhbHNuqe+XR8XmyiEy91la1vXQiSemBgU9mUXpZgdOZw/K/npHUQro06rvDYzPez4+blJJQVd6CESadPHtPhwU8+bm0q3xH1lLS6ww7av35+RZKZRcWgD8oqNUVlTByrlMJlKiYOUMfEWNEqryFCnQ/Bkhyps4HK7YjqnZtMq9mN3oPS9xYdoGP7+5Us2f/DkALudd9fgbBnonl7uqyO3Aw75A0fMJSqsXF/L32SgUR8kOxjAOVdlBBZjhLZo0fWe4yVcKZ5Ey9s8Oqe00b1RO60YQ5tM+pe01KGkdNfDJEF7uDUXU5/tKlnWGZLK7i8t1qUPOL8jYO5h1t4nua8fPfy94rpQU5ifywRJP8LUoq8hi3HcZoik5mjR9Zu/+0JkmU52E2DxHbh4xi+aHmNWGvSUkjLoAlQ2RD+2K7Uqf0dIlV0KWdjfAvNrc52d4qu5k5SuFVSNrzlyeJ/Hx8d8m7RcmeqdnnqTQs4j4XFR2rEybmJyI6nBMfHb+PzVIZecfG4vjptJvTss9YjMRFyX06cOVLlMouHNvC8vXfNnyf6pifKLC+Otm3H8WVdTzfqirxbsfGq1229D7MCklljsXCAFUD4dihPL7/23M8qwU46xAjE0bOJ4urmJhdxovyNvbYHRg7M6C1fDEPHWN4sKdhygEmI7/U5hjlMdVhXUqLtov5kYUOV+rHzgzAsS1slMoYuKKuSngjWvWZil3L6NQ8tmqGj85JH1lfFVfW8adL73oZwgHg6UYp9bIY1PHH5Xw6uxx5Vz9ZXMXPv7zw/t8F8PCHDTwcP40/nD+ya+eu85EEu3G4x+7AZqkcmPOHIo36/LZPxxRX1ht+BptrFoBux8bzLVpHfzw6rEvUMMZPBhkp9OLFdtWjVyq75F2hso9AWBp7F8CLbVdrBeHvK6b0+Kv8aZbFoA5b0ICqd8YFIhveE7PLdZcJLOxkCA5ahLJ0JJH2SXpYQzKozyeLq/hlq+olHR7saalz2Fz76MwAXu2y647JDPpDxvhRvTvSeTcWhnPHemABsC2Q3rEAcnctrLI9Q/c09o36ii+LofszyoTP+8R7zuIa3jfOH8HKxNmm2ZpFGfeNdJbM4pwM1k8fxcyXJUrfhjUkg/qcFZV9rcvGrQvHQ9+wHCn0ah+jZtgNmZgf1fkkspy/goda/I9q3ro0g0pNxC0AK03y+zBkxPyoimvyMzo179V5GzyUx/SHp5R9dxYIGre04isa6Swm4zkL+P5ma/lmxJXz0al53Ftcw7ljjeNlwrY9Kkn63sTFiCUtnRYV8jE/qi1rqpa8LI/URqmMw2MzODXxldDPpQrbDffkd661fzCYnkckraMP/ghs4cmGiQeKCBs3PjZIZXwF0wejU/PekY1fZ507Jt/jx+ulz2uV0D9fCH+8KkrfRu17vt0mLkYsuh/nkvH88ESxKHWxPsMi2iPFdjt/3di53t3t2Nrf2mgGf6Mj6m4YkOf5SWPXyXt+GBaArlrgt+i2yJiPKuc431/Dgz34dd9+fDb3yLtVp9pTzPRBzgIqrthbZFHknNdL/1XLXG1bwOvdjnLdG0Ue2t3zDcibP7p40pR7fpJ4MKJYlLpbn35Ee6TYbodP7KfTrY2osAraDCrxL2ntOm9dOI7HE2e9eCCgejupVHYxEfKmU5S5LGM+qpjjk8VV9F+eqTMU7y2u1QWUR5mXojy4TB+cO9Y6QFcmvF66+v47OJh3YHdYeLpRqss0roIw8sD6/0V5G0BV5ikg0rOfJPhbBLp70qQZP0k6PIoBQPX4Ki6yBOrB2Lt1yfHSvrUhGv4KM4t/uHH+SOiYhKxz68JxfH+zagRZ2CnmGGaONprLQcpXxnyUNcf5TL8Ts8u7qnvzhnPUeRlV/zVayNj3hgnQlQn//OznPXYHgKphoXLz2Uoe2AaILzFCpbCxXy5UOAmytkaKQtqxly4usXaCJSwDkIljLz7h373FahxCt2PjtS47kdxRTnIokqA5GiQjjeayrpcGvMKjv7zwrqx3OzZ+eVFGuSImMDyq/kujL5PKOZMVC8BvBg5gbvknAOnpFn9SwpwFXB+mVVfNLxdJxt2sseFodOxFMubHIIdGE02lUSTi/Hn4zgMsPNnw/p/FQ4hSdpSNH9nxL3zm4rxj45UmWaN1Ur6jU/P4fGENHRaw7e4+Bkk7Di6NvhQp57zcAPCSiaZxG07EBkgVOs0hXSF/24sR1g0Y9L6s5+5JSiP3J8t/wZJ4jU7No29sRkp26EbJx1qNG/8ev+HD4iFU7vKitlkUsuNfLg71I+/Y6HZsLwHgtS++w1uXZjB85wH6L83g8Fj1Z8pn/v6+v7dYTXJZrhk+OQteortuJ/0EdpT7MgwXfTqlVHZx+e4Shu88kPad/vxG/hxOOvSl7uOuM+Q8P2HdgEHvi+NCzNptsThMFlfx6ewyXFQ9P1eml7zcOKwvRfVT0E4naNz4XCK/7tvvtelg3sGv9nZh4ckGbAu4JsHgCbMjDiNrMo4yVO4U2Xc93SgFBowe2ufg6UYJZRfSxiIszHv5y4sytitAV2cOpZcVr+95z4/dYdXVqZLdp1R1TNjaXmHbHnSzEBB/u5C1ifc0PQ6Rv8vQnmhz7BVWETWKV4iqxEQuUFSVXFTYQsErrKB+SnpcxhdN7LI70Pf6a1h8soEOq7pDB6o79APdjnfdV4V3J+yi0ErWsuLSZobo0TfzWPphwxsbP92ODQD4+8ttvNx24XTmcPW9t4UteM1kzX/sAsDzcjZ6r24JVUXrF1FGfhD+o2kAXvHdk3378e9Lf8VW2cUHTQqLAtVn/v297/By2/VisXYdsXXmsPyvZ7z366yDdW8/RbQxflQjcoHSNQA0DM08NkC9Yvt6Zd1zgwdlx2W/89dZ+nGz5HmcGHyuFVVGBOWYHwqwhc3v+WH1j3iC5gJvTH3/t+cA6oOrmZEzNHDAkyW/rPg/0+/5abaoqjZKRX2faP0iyshvBr+RYsVRWYweg8VbAcC1L77zjCIAuzxJjyfOem0q9O1HcWW9pRdZJ1S3vx2MLWP8KCArO/2w8MdlAOoUG180stHR5O+G+r3bIh+dGcA3K+ve0cRrXTY+SikA1Rg/8WAGSCvPD19yhMFkhDeoeVn63VB/3dFsO8wvP6L1i2o5540Wv1HD6wsAXk4qXk7C3MLTXQerbr/uxmIYjPFjkErQbgyAkKNJ1RjjRy6852flb8/rDBreoB4aOLBrZ28QR5pyzsdgsY0OsNvzE7WGmCEaOujjpBjjx2AIiTF+DO2AkXNDO6DNVXeDwWAwGAwGmRjjx2AwGAwGQ1thjB+DwWAwGAxthTF+DAaDwWAwtBXG+DEYDAaDwdBWRLrt9frrr7uHDx+W1xqDgQCPHz+GkXND1jFybmgH/vznP7uu6+5y9NhRPuTw4cPmaqQh85grwIZ2wMi5oR2wLOt/Bf3eHHsZDAaDwWBoK4zxYzAYDAaDoa0wxo/BYDAYDIa2whg/BoPBYDAY2gpj/BgMBoPBYGgrIt32MshhsriKidllANVK1nPLP+H5VhnbLtDZYeF/nHsH36ysY7pWBXnbBYYHTaVjg55MFldxe+4RLg71A6iv5P3rvv3eXGCV3tsdvr9Mf1QxfWJIiqnqHpE4k44ZN79slVF2AQsA6/XBQ3l8/7fn2CyVAQA5C6j4huRg3sGPm6Vdv2fvHTyUx+HXX8O9xTWcO2aMoqQkvQLczoqZPfsbe7uw+GQDXbaFfz5yEF+vrOONvV14+MMG9nRYKJVdHMw7cAE83SgBqMrzgW7H+//ODgsvt10MHspj+sNTGJ2ax+e1DYBt5wDXxR67I/NG0smbX+HpRgkH8w7+dOldYZ+r01V3/5wK6hP2npN9+zG3/BMAY0BTRaWObFTV3Rg/EWmliIbvPMDCkw0c2ueg7AIn+/bj3uLaLsOFp9uxPeNneLAnlOfHDzOEchbw/c2zAOqNrm0X+ECStyhri33SRUHWYkWJ0al53Ftcw9E381j+8RlKLytwOnPY05HzZJnhN+gtAG/kHfyuiefHArDBfc4b+R2jyE/OAq4PH8G//c//xMKTDdgWcG34SCZkEajOr8/mHnn9JWquUTN+/B7BZsYO3yesH9h7eHnrdmy82mVnRjdlBZU60hg/gvBPusniKq5OL6HsAvtesfHz34MVvwWgw0Kg5+df/ukfd03kVm2YmF3G/94qN/X8MAHj28IMI5FkbbEX4fmJMp5U4RcjZlgMHsoDABaebAT+Tb622PzK5/kprqzjVzXPT1jvJNtIMA+Q05nD1stKnednq+zCRdU7+ldO1rsdG2NnBpQY5SqNf5FzjZrxwz8b8wgy4+Vk334UV9abzik27wp9+/Efyz95OnazVK77nK9X1rU1hrKy0VSpI43xIximmBtxaJ+DbRcohJi0spgsruLT2WXPi8R7fpgB9WK7gj0duUTu4aws9gxqi0IajE7NY3phDUDVoNnweXMYg4fyWFrbQLkC2Dng2gfiPS7N5Iv/N2agsTa/0mV7noCjb+Y9Y+zq++8IbaNK41/kXKMm534P12dzj/B8q4zNUjl237LPZJ/De8iva+gdFC1rWTGmmqHE+MlyRzI3P9u1Hh6b2fWefa9Uj690iLvxe4Uc28KLbVeLtsuG2qKgmsniKi7fXfL+nz+W5T0/LBaHkufPv4BemV4KPHJ2BBpBuhr/Osi5qL7lvUIsDOFg3vH+Xxe9J1rWKM1dWSgxfrLWkcyYsy3gyc87QZnf3zzreX50jS/we36elcpwsfN8WTZkW6HDoiCSyeJqXdzN1yvrnmE8XIvDaaZwKS/+rG3sGI7Xdnz8SDvKehpyTqGvmUfcBXbpvXaD8twVhTLPj+4dyd8YCApUFnnFnIIiYPg9W3zwIFX3sKz+o2D8yJYNZvCUyvUCzsZb93ncCHZjjD/+Ojp+H5ulMhzbwr7XukjMRxWolHOmX/ibfs02yLLln+k34/HOPibmpwXME8LvBNjZcE/ewZOfS56bXxSUPWWTxVXvyECmeziJksvyFWBZz8b6+5daDASPBXk3AinDjB92EcHpzOFFuZL5BVG2nPMbSRY/xt/0azbfZevGLGzUdSLNjX4j48dkeMZOjMMmZ/icO9aDg3kH14eP4MHYu3g8cVao4QMAF4f6cZC78kuJkUIvrg8f8drHvGDTC2t469IMRqfmhXzP7blHeLpRwmdzjyL/Ld9/k8VVnLz5FSaLq0LalTZRZCPKs7P+BqpxL+z1xvkjWJk4m+nFvhFjZwZwMO/gg8HqnC+9rHiynhV5SgMma8zwAarG9Z8uvdtyAWwm/yLm+kihN7Adk8VVHB2/j6Pj983YCySJnpeF8fxgd/DvjfM0j3nShLmt2TGgBWCvU00QTuGmWJavALei2bOzcevJO1jbKOHom3n8+GyL3I6X2hEwW7C7HRsvtivVPEYSboqliWw55/tR5PG5TK8QvxaYHEHRaTSP0/S0kfb8qN61j07N13kvLg71o7OjugsePJQ3gh7ArQvHq4Hegz3IWdWcRZul6tHJleml2GPXaAcWFcpeNNk0evbJ4iqmF6oG65OfqxnCH/6wIaS/RUNpZ3jrwnHcOF/1egJA6WWl+lp28fHd+LLebny9sg6gteETVf/LnOsXh/rR7djI1zZ2TzdKifRbu9FoHovS8yIh4flRnSeDXeOlHOFPaSccBIuTYDTaJVF/jiB08/z4CYrrObSv6vmhGsdCNQZjsriKa3/8i2cAAVAeo6drYH/YMaUa+8jHPYYx4HTTczKgOI9Je35k79r5ncVtziI9d6wn8t+rgtJOOAgWJzFci5MAENhe6s+RJSaLqxi48iUu313yXPcH8w5unK/GrX1/k25MD8WdIVBt1/K/nkF3zRNgoZq49L9//CUOj81g+M4D6W1oNIcoxrnxbQo7plS9tizu0UL18gsruBuE0XNVwow5FbklYfzI7DBmvTPBZBPtxvkjoReCMIItekCpKgQGG7NbF47jT5fe9Ywh1l7WHyf79pN+jiwxMbtcd3V97MwASYMCoKMAw8Lk+w/nj+DrlXW8rBXYW3iyESs4NsrzN9IFFBfcKG1ifQCArJyOFHq92MbNUrnhRQ/q+jopIucrFbklYfwArTs3bofdnnvkuS2ZKy7qRAsj2KIHlOpOuBH+9k7MLuPpRgn/sfyTVs+hI2zuvNjeOZoZHuwh3edUFGBYePnmYwSB6qJ4+e5SpBuQUZ6/kS6guOBGaVNUGUjLYB47M+D9fG9xLfA9uunrqIicr1Tklozx06pz4179ZX+X5KZBGMGmMqDUcKHfLl832Nwpvawg79iRvJppofN8GSn04v/3h9/ixvkjXmAs0HhhDELE81NccKO0KWofpGUwjxR6vYseYUMlsobI+UpFbkkEPANiAqVYokIW5EktgK6d4MeTKS1dxkOHgGc+I/ev+/bXJaTUoY/TQkZgqj87OpV2tUIHOeeRFUxrgpXFQ6lPSQc8A8mtwVMTX3mJCoGdYy4ZGE9Ga/zHBHF3Daavd8NfYb+3uLYrIaWhMTK8BywNBDN84sisbseADP5ZZc9VWR4DXY7fwkClbTrIMxnjJyms8ChQvXYtsx6VDgMbFxmTh1da/hxLrchyX8cl6MbiSKHX87Klrfgoo+K4jcns5btLoYOhdTwG9F8m0XWuxj1+o5j/h8oY6CDPWhs/fCpyFn6Ys4CH46elutp0GNi4yJ48fJmMrC4KoglKyhl0Y5GK4qOMiniDi0P9yNUU0mapnCiomTL+yySi5qoq70Xc22ZsfCsuyM01KvpSB3nW2vhh8T2bpTL2OrYX2CwbHQY2LrInDx8wGCZvSZb7OizsiIuVCtDp9k87wo4hux0bjm3h+VaZnIdABEzezh3r8byRjeplRTFmWhnxooyjuJsFysfMWdGXKgxgLY0fthP+Zasa32OBdk4TnZA9efjSAYW+/XVFBHX0XMiepFE+NyuKLwlUYh5GCr14OH4a+17r8q7Cq0qKKBu/x+TrlfWm8zbqvG5lxIvSE0k2C63mGhU51BUVa4GWxg/bCZdrt1v+YAqRagMzcn431I+vV9Y9z93lu0t4Y28Xyd1UM2RPUj6+Z3iwPa/ZRoGaAc0fgQHVpIhR8gFRxN/HrYyIqEZGK8NClIdT5maBmhzqhgovNjnjJ4zFzBKMdXZYbb/T1Q1eKbAigoyFJxukasKEQcYkDcpTFSV3TzvvOqkd/bEjEpszgKLkA6IIm7fsOK+VESHayJBptMSZO0F/Q00OdUOFF5uc8dPIYh6dmkff2AwGrnwJllz1lc6OFFq4QzsvMnHhlQI7GuA9GhRvUDRDxiRl2bEnZpdjfX6au8605wTFW28jhV48unnWS5TX1WHh8NgMTk18lXbTYjFS6MWrXXboYG6VJJW/OHMn6G/YvAVg1giikDF+mtWCYnlNXAClsosuuwMH805d2vE0MK7N6AQt5iwOiN2guHx3SduFIQlemYryNgDAavH+RqS566QwJyi0IQiWD+jvtfprT34uaXUEFuSRpObZSDr2cZ7L7wkLao9umzoKyN5IkTF+mJAUV9Z3LY583INjW/iISHAzP1HS3vHqDjseYPB5m9oBPmcKM+4/imncpxn4TGFRFNEGmfP50D7H+3l6YU2ooS+z3de++A5PN0q49sV3ZIPrk459nOdi790slfGpr/K76Gvx7bTOyN7EkDF+goTW7w26cf4Ilq//lsyE4yeKquuZcUn7+8MwUuj1FgZ+gdCRKP09WVzFx3er5SksgIxxHwcKi6KINshUvA/G3q076hVp6Mtsd6nmsWKvFElb/vw9I/paPFWvpgxkb6TIGD9BQtvMG0QNVdcz45L294flwdi7eDxxFg/G9K5PFba/meHDlOZexyYt5+2CbMV768Jxz8Df94otbGMiq9388ZzTGbxs6LDBksXYmYGGoRgiDTKR40t9vGQbsmSMnyAouNDDoup6ZlzS/v64RC2HQYWw/X177pFn+LB8VWGhrrxUIbskiyyYoe/ssYXFhchqN39D7ep7bwe+R5cNlgxGCr0o1AoMy9RVIse3nccLIGr8xE07ThkRQptEyafpDk7S7s9rOZ0+X9DrenCYJGh9YzN4ulE98uh27Mj5qtpdeTF07wfK5RKAqqzu6bBgoZpriuoGL22ilu5JmzDjleUNFknjJ8qRQVYHJghdlXySdnfVEqS4iJbtmDoTs8t18QFx6tG1+2LDSKsfROkfFheSb3BjKG1uzz1CqezijbzTNNeUyA2Wjrq9WekeP1GfLy3vJqU1R3QfkDJ+2BFH2Ey/lAZGBboudknaffX9d7wMuZSvi0YNcH5WKnv/nyS4m27oqTrS8mry+iepYh4p9OKVWu4canJ+sm8/chZQ6Nuv7Dt11O186Z5Wuo7l8vLfDmtEWv1Bac0R3QdkjB+Wy6fiAg9/2AilzCgNjArSvskQlyTtZrtidizw6ewyyR1hlIl57Y9/8YyWG+ePxA7u1mmB0HEn3wpe/4gYC/746/LdJTJ1wL5eWUfFBYor68q+U1fdHlXXhd28pNUflNYc0X1Axvjhc/nw7sNmUBoYRhaVfNrw10VdgOSCH3ZiThZXUXpZ8f4/SSZinRYIHQy1qHOX1z8ixsKf62rhyQYJPZKGnEXV7ZT0bpi2NLsdFgTFtU41ovvAct3wjvMTJ0643377rZAv5hmdmsf0whqczhyuvve293CsCOZF4vWe+HYyJX8w73jpzQ3imCyu4rNaYVRZMnHixAmEkfOo8snknOHYFkplty1kRcW4JeXkza9IzN3hOw+w8GTD+/8bkgo3h5VzHaAydtTaQom01nPLsv7suu4J/+9JeH7YNcoX5Upgnh/Ku0Wgvp1B5+OUdiW6Q6l2U1T55K8L3zh/BFfffyfWjlpHedJh50rFkzb94am6gr/U9R8FqIwdED5GSsd5nARq6zkJ4+fcsWrBP/9xFyWBbgbfzqDzcWqDrjusPy/flZtToxVRjrqOjt9HRy1ym10XjmsQRJUnHZQshTZSMtDGzgwg79hwbCu1G2AUxiQslMZubvknVFzgP5Z/avq+dlsXqK3nUoyfqJOGFfzzX6OkJNDNaHX2T2nQdVJojbjI9WOa+X/CyuftuUfYLJXxcrt6xNXsunAYosqTDkpWhzaqZKTQi8Xx09hjd2CzVMZEyFtBImE3ktL47iywUWputEadx7rrbmrruRTjJ6wi0zV7bzOCBphSgsEsLDIjhV44RPL/tFJIk8VV/LJVhmNbyDt2bAOY/56o8kTJ+G6EDm1Mk2ctFlKZWKl8q76MnRnw0nM007NR53EWdDclpBg/YRTZ8J0H3tV2PhbCIBb/hNFhkQmzw+Hz/6SpDFoppInZZWyWythjd2AxRiLDsN/TjChKNq3dJbVdoSiS9idbSF2ol/OhgQPIWcBvBg4I+0zdvRdhEF3MlKGD7tYJaTE/re6Q8bcZwl5tZ7TDBBKFf8LIXGREjUuYhZ4pGDsH/HWjtCsniioZYf1b6Nu/6/tGp+axWUtmmHT3rErxmd2lWJL2J7+QBsmYTGTk9xElX9TXABnljLK0QaAwfqkdew0eynuvUWMgjIIOj8oJI2pcwi70I4VelGspc/w5UVTJCOvfr1fW676PJe1kfBShYGmz75E9jmZ3GZ1milxU/p8gGZONDFmIckmg2eIoa35TWJQZWV7nKDyb8mMvdvPl+789x43zRzD94Smhn68jlCZcEi4O9QupTxRloWdGNABc++K7uraolBH/9/FBos2KQVIjS7tLVTRT5CL7U3WZiW9W1vHjZgnfCPT8hO2PVuUfZM1vCosyI2vrHI+IZ0u6bkoxfhoJ+GRxFZfvLmGzVMZmqRz7qm7WFDSlCReWIMHj6xOpepbpD095R0pb5Z3DVtUy0uj78o6d+HaXgTaqFil2DHVvUU3VcFalPM2YzEbhE7LmNyWDg3/GrGyQGSKeLem6qTTPD1/CwgIydVU3CZQmXFgajUmSZ4k7CT4Y7IEFoCMHHB2/T0JBsPT1SY+7DPRRtUjxtb9k68LJ4ir2dFiwED0mUwRRyz+IQqRRJfI2c5bXwLjPlnTdVGr8nKy5a53OHP4QIWW7jsZBFHT0ZDUaE/YsACIvAnEnwa0Lx/GrvINyBdgslXF1einS34uEHetOzC6TLuXQjKztMlUic5GSdYsoiNtzj1Aqu3hDQF6qOOioE/2I9JxleQ1sdmmkGUllRKnx83Xt7PgfXt0TqcGySxq0m7IX8bytBC/OIpBkgvOJD8tuemPKEhqqPPoTjcwFPOtzTfYiZQLf9aFR5YJGNJsbKo1B1XM0rYB+ZcYPS/bWHTPRm0yFnGWXYhCNnlek0MdRnkkm+Eihtz74+Y9/SWVMLw71o9uxEyU0FEmcMZW58GV9rqlapGQvUFnwvKTNr/v240C3g1+HDFBPOjdUphqRgWqDW4nxM1lcxZXpaqDza112rAkls2PabZfT6HlFCn0aypMPfi69rCgfU1a1eOzMQKKEhiKJMqZMeQKQNnaU5prOXig2rleml7RsfzsQVZ8mnRuqU42IRvWaocT4uT33CBUXyFnhg5z9yOyYdtvlNHpeSgtTXLrsnXSCqmNuKNZCijKmKnZ8lOaayOcNa0iJMrjYMW/FBSl5M+wQNTVB0rkhSn9TmqMyUWL8sEG5Phw+yNmgFua10DVIl3H1/Xe8n/m8P7IRmc1ZJFEUWRaM3yiIfN6whpQog2uk0IvOjqqk/f3ldqLPCiKLdRdVE7a6uyiapZjR1cMpE+nGz+jUPK5ML6HQt1/rRRXIthBlJRaDl7FS2VWmvD8XmM05LZoZSlmU/TCGYVgjIKwhJcrgmiyu4uV2NQvOy21X+LhQyPGTFVqVepJNVnS7aKQbP1maRGkIkeoaVVnY9Tvc0ZcKuZssrnoKzragvZEfRLsq0LD6K6yHTdSRwm3fODTKhByXqDeVDLtJK1eRnyzpdpEINX6CFmpVk0iFkZCGEKmuUZWFhfvq+++A2T9H38w3f7MA+JiL17rsXf+eBa9JuypQqkYAGw8m51tlsUdfty4cx/c3z8bK8ZMFeRcBFZ1KpR3UsFw3vFPuxIkT7rffftvw30/e/ApPN0o4mHe8RHeqSPO7ZTJZXMVnGYjFUQ2TB6BaWyuKEj9x4gSaybmfo+P3vXifGwHJO7MqmwY1sHi8iwE6gJe9wUP5SLUSo8p5WHh5Z/nZgtqedUan5nFvcQ3njkXTPwaxWJb1Z9d1T/h/L9Tzw+8OVVv/uu9MG/WXsdrjwSc9/HxhTaosMvd2kOHD2qKzbBrSpZn3lz9SWXiyobJZDeHlvV2PS4FshXxkEaHGD79Qq772q7uRIFtJtJsreqTQi0P7HO//ZfZtK9nTXTYN4ZExz5oZz7yc8/KeNuw8oZ0Nf6pHpoy4spqVtUR6wDOla7+Uka0k2nEHtlY79nKB2JnFW6HzlWBVSiwryjIMMuZZK+O5XLM0fvi5JKWwb9Tx4/ugnQ3/JHFTKogrq1lZS6QYP3zOk77XX0v8ee2gPGUribDGVdK+pjRW/I4rbmbxVohwbadZh0yFEsuKsgxDGp4OVu3dBYTWlGNyybz4qjIVG9QQd5yyMr5SjB9+IXj4Q/Jz6HZSnrIIa1wl7WtKY3XrwnHcOC+3CrYI13YaR55hau2JzEacBWUZhjQ8HSOFXu9Wo52Ln0XfDzN6XpS3I41fO3t7dCLuOGVlfKUYP/z1YhHnne2kPNMmaV9TGyuZE3WyuIqvV9ZxffhIoivBJ/v2Kz/yZNXnm3nERGYjjjoGlDyIOsA2meWK+M/usjsysdgZDDxSjJ/v//YcQDXOQsR5ZxjlaZSlGJIaCxR3BbJkI2lQPzMuiivrofos7nMEGaStjFTmGUqrOj0lDyKPCFmSIY/8JlPUJZOhgQPIWcBvBg4I+TyDoRmq13Dhxk9aNY6oKktD+jAjRXQWXIZfzsNO4qhesrgyHmSQtjJSmWfoVUmxUq2g5kFkiNAzMnTVrQvHvczmLwQlPPx6ZR0VFyiurLd8r9l87jB85wEOj81g+M6DtJuyC8rjpHoNF278TKdU44iqsqQsbO3Cs5oxzoxyUbD8Pn45DzuJo3rJVMp42vOJogcRENMvsvp2j90BoHpMJYKLQ/1wbAtPN0otbzOGlfl20Ics3xKVvEs8UQ0MleOlWucIN36czpz3qjroj6KyNB6p9HF9ryJgWXeDMm/LmsQqZZzqfEobEf0iq28bGeNxGSn04sW2CxetbzOGlXlq+lBGrpt9r9h1r5RQ5W2Og2qdI9z4ufre2ziYd3D1vbdFf7SWhBG2dtgNpcngoWoAfmeHJayPr/3xL3i6UcK1P/5l178Zw0E/JourODp+X0qeHFWMFHpR6NuPK9NLifNOMZ109M18qNuMYWU+bY+iHxm5bjb+Xq57pQQbJ6BahmR0ar7p2kNtvEQi3Pgxir+eMP1BbTeUNaY/PIVux8bLbVdY3E/pZaXu1UCTsBsLFuMUJk8O5c2KqJIKTCf9+GwL54714N7impBEntTWBxm5brpqsVfsVSSiZI+N773FtaZrD7XxEon0DM+yoKyAopJl65oaIo6++EVgeJBm6vqoZGk+8YTdWFwc6kfesUNlAle1WYkzJqJKKvA6aXqhalDx8ZxZQUaum6vvv1M9/Xj/HVHN9BAle2x8zx3radu1R2hV92bVh0VjKmUbojBZXMVnDWJ0/LSqdt03NgMX1VteKxNnxTY0JbI6n6KMe5qfGYTsMQlb1X3gk1mUXlbgdOaw/K9nhLfDEB5VspcllFR1V3l8Y7wl6knLOyDqe0UGPPNkwWuS1fkkI0eYqqOANMeE7xM+jjNNWc/CPEtKlo+hVCPU+FE9WWUtZoZg0opNoppbRcVnq6KdlSrV8YubGVtE4Haj4qRp9lWz7zaGURXTD+ERHvMj2yCJW2zPkBwVxm3Q5KWWW+WDwWpcxQe1eB+VRr9RbuLJktcrSuB2M/x9oqoUS5Q28VA1YFVj+iE8Qo2fpOn+w8AG1wIyo7B0QYV3IGjyisqtIuoa8K/79uNAt4Nf9+1P3L6oxoxRbuLR2evll5+LQ/3oqF0y6khw2cjfJ61KsbSSYxFGu79N/GembcCmvSmhYJzKREb/SrntJbOsBRPyj84MaKuwDI2RqcREXwMWYYBE/ay0lXzWSHvRSopffkYKvdiuud+f/FwS9j3sNtzzrXJgX7WSYxlGe6OjuTRQsfFvRtQ6gbohQ36EGj+iM4wGkbaQG+Qic3xFXQM+2bcfOQso1Dw/SYhqzMjoH90NgCRQ8aSJLForg5FCL17pshsep7Vqh4x2UtkITBZXvRI6KutZ8ojUSRSRMdZC82+PFHqNUWIgy6/79uPrlXXvuCoOk8VVz4MUpuBjKyjMGf8OOikqU14k5eJQv3d1WDRR+iHuGATJj9OZ866mi+TiUD8mZpc974+/UG6zdsuQcwpzB6iOnQsgZ8mvZ9lIpqIUodURGWOtbZJDSmR155y152pWkiL0Z3zxHSq1Y4W0d5yiEL2rouJNCYNMT2OUfhA5BrJKDI0UevFqE+9Pu8LG7vrwEenGWCOZouQF02XNMMaPAHRS9lHQ/bn8E1FESYpSeec+I4VdpwiaGQBxlBkVRZw2UfpBtBEm69ZtGmNLfUFVGYrRqP/jtkF03+q0ZpAxfkQNQhoTJavKnkqStbj4J6JTq7XjJKi5Y/les04cZWbi8qqk1Q9XP1/C040Srn6+JPyz2TN9s7KOty7NCKn31QqqC2oaa41omRLdtzqthWSMH1GDkMZEyaqyl/lcrRSHiHH0T8R/PnIQOav6GhfX95p1dFJmhirlSv2rDETdnAwDRRmcLK7iyvQSSaMsCqxvC337hRhyOq2FwoyfpFawKAGnOFEMu2ll3IgYR/9E/Pelv6LiVl/Throrn6GTMjNUGTyUr3uVAbsxWXGB4TsPpH0PQFMGb889QsWtBjnrvNawvv16ZV17Qy4qwoyfpHkORMUdUJwoht3wxk3Q+MoYRxavw8ftRGW4lt05aTX3MJ4tXQykqGT1ucIi+/n/5Z/+EW/kHfzLP/2jlM8HgFsXjns/LzzZUHL8RYXJ4ip+2Soj79hKgpxV0I5OA2HGz4vtSt2rSKie+Rp2E1axU6kXFBV/due4hFE2/n7JitEQZbyz8sw8suSd9RW71fip5IR7vGdJxfEXBdhx12apjFe77EwYPkB7Og3Exfy4bv2rQNrRKtWVOIpdp/EVtXCFUTb+ftHJSGxGlPEW9cyUjKhWXs+4sL5itxlFaOJm7Zv+8JTnCU2aOFQXsnLcZRBo/OyxO+peRdKOVqmuxDFkoo5vmgvZG3u7AAC/2tslvR3+ftHJSPTD91XY8Z4sruLn51uwkDxzLSXDUZbXk8nH4KE8chYwNHAg8We2at+tC8fx/c2zePy35zg8NhMr/ifqPEpr/rPjrm4Fx12UjPWoTBZXcXT8PvovzaBvTM2NwDgIM36GBg4Im3AGfUmr+GkYOmuVHjsTVHxceLLhvapeUHXeBAT1VZgbf6WyCxfJM9dSNRxFtovJx9NnW8Ky/YZtHz8voi7YUedRWobsxOwyNktlr5SFTCgZ62FgBs/R8fteP5XdqveRPxJlc350ar5u7kcx9kQZhsKMn7nln1Bxq688OluwOtCO/Rt3wTj7f1avup/9P+NfdWclA5zOHNkFNW2CZDKor8Lc+Ot2bOQdO3EfUzUcZbRLhkHVqn18/M+V6SWpSTHTSrS4WTN6XEB6vFpauiVsm0en5tE3NoP+SzN1Bs9mqQwLQN6xYVvVfGj8kSib8/cW1/B0o+TJShRjT5RhKLS2F7A7+ZvoukEi0Kn2UCtU9S+lPotb54UZ6P/hM9CjcPW9t71aUCLqzVDqV1EEyWRQX7Wqq0WldpOOqM5DNf3hKS8YuOJWDSAgXBb0qOMc9H5Z82h0ah6fL6x5/WkB2BvSGE+im9OS/bBtvrdY7ZOyC2yWqjff8o4NF9X6Zo3+ls35Qt9+L1fUZ3OPcLL2/2GOt0XV4xN67GUB2Cpvt9zxpQ1ll2LU3YKq/mV9FnVXR4kX5W0AVRmNC/UMqxQIK5Nh+rIdPZtJSUumRgq9uD58BDkLngGkatxkPTNb5IFqkPMfzh/Bw/HToeY/xbWvFc3aPDo1j8NjMxj4ZBZH38zDAmBbVS/PR2cGsDh+umXfsDl/68JxXB8+4n0XK8w6vbDWMkZIlA4WZvx8vbIOF9UcKte++M77/UihF78b6sftuUeRJ0JSxdfo7ykLZdRJrMqdf3Go31NqcRVM2gsZC8bvkhCUz6BqvKpEpEyqXsjTllERnOzbj5yVPEg8Dn4D6LOa3pfdp6LnEWuzt8jngP9HV7SDEtm6WUa/NmrzZHEV0wvV2J3Sywp+fLaFlYmzeHTzLBZDGoPNvusiN27TC2tK5qAw44dvvD+JXFwFllTxNfp7quf/AN3FkCm1JG1L28vx1uuvAQD6aq9xaaZ0qBqvuqJ6PqQtoyJgu2gRAc9x4HXFr/Z24fLd5GUgWi30IufRZHEVH9favPK351iZOIvX9zrkqtmrktXRqXlcvltfJ070fBwp9HppE5zOnJLnEmb8jBR6Ydc+zfZ9alwFllTxUTUkmkF5MUzixQPSHw/+RkoSmikdUc+oiwdC9XV/2aTpNREFhWdg4/bwh525lmROqFroJ4uruHx3aVcNv7R1VxCy2zRZXMXAlS89jw8AdDs2bpyXc82fpU24+t7bSvpaaMDzq3vsaubLPfUfGzd4K2nQlwmYFI+OQXwMpzOH0suKd2MrLs0C7kQ9o4hAdhXB1HHbSTXQO22viQgoPcO5Yz24t7iGo2/mcbtmuMQZb1FBro1g8vjL1s41dgvA2JkBAOnrriBkt4mlmmAMD/bUlTWJStg5z56Lbaxk6QihVd3HzgzgYN7xBMagN2GvLKfRjjifsacjh7xj4+p7bydqzzcr6/hxs4RvJC4uUfq5Uf+o2C3HlQeqx0thnoeyV46vO0XBS8F280+fbXm1H+P0nUwPIDvWebpRwovytpde4Q+SPBw6wOSIXVdPavgA8fM5yQqct9wI5ShOnDjhfvvtt8IbkXWo7nJbcfLmV3i6UcLBvIM/XXpX+ffzu7HNUjlRO6I8y4kTJ9BMzg+PzXg/P544G6s9Imn0bJPF1bpr+ZQI0zaq8ybtedGMo+P3sVmqZiF+OH666XtbyblI2Hg/r81lhohFNSlvXZpBpbYM5h0biy36LU1UzQkZMh5VH/GpE5K0w7KsP7uue8L/e6Gen+E7D2KnOM8a/O6Q6i63FSrOlFtl+H26UQKAxO3gy1IkJWqmaNmegkbjRD1+zN82fz9RnTcU4z8Yf3+5XfdKBTbe/lOBNAqi+uWMJeFzOnP4iPiphapadzJkPKo+EnHJphlCjZ8kKc4pIWKx4oWUsrIMgj0/AM/alrF4h8nwy45Rky7iooKdAeCVzupV+fK2G6pPZC/ilI2cKPj7ieq8SaO/w+qkl9tu3Ss12K0extE3q5mhVRwlsu+YmF2uk7NbF47j8cRZLP/rGfJzSNScaKST/Lo/7f6QOdeEGj98ivOJ2WWRH60UEYsVL6S6LU7+54/SH1GUWKuJTLXfxs4MwEL1JsinIeSc6iJODX8/UR3/NAg7Bx3bqnulyK0Lx/FG3gEA/PhsC8DO88WNCWpEkAceSO5JTotWcyKs/m2kk6h6WwHxBrJQ42f6w1PepHvhy6JLOUjQj18w4rRdZ8Xtf35WY+n5VrllH0SZPKL7qNE4TRZX4diWF7iXlJFCL7pqch4mW7TOsqAS00+NCRuIvcfuQLdj4+r77yhsXXT8OoU9H4A6/TFZ3CmYGVb/sr8ZuPKll6+H98CL8CRTJaz+ZXMN2PHqsyDnbiLB8n6uffEdnm6U6pIoJ0Go8QMAsKz61xqiLUqZxpRfCVO2hmXgf/6RQi9e7bJDJfnilbRqg7fROE3MLqNUdrHXsVMPrjTQhfIGLYxhyIpLsvdTxq9T+Jgg3si7PffIK5jJskUzw6aRQcT+plR24QJezqPbRIP/RRLVy8zrTNZvr3XZJPtoq3btfqss5khXuPGzp6P6kVsvK1KvSKtMekXZGlZFnHpNqg3eVm0UehBQM+5LZbdlLRrdoWwUiITiJidO39M98KonaL76jTzmIWJX93nDptFm7OJQP/KODce20O3YuD58BF+vrLcc2yzIeVTvKRuDv78o4+lGCTkrefZmWf34wWAPLAAdFiJ5Ahsh3PgZOzOAnFWNh+AFTXQRQ5UFPSlbw6qIcySh2uDl28jL0tDAAeQs4DcDB4S0A9gx8oF0bqyohKJRIAPR8jo6NY+3Ls0kMo6j9L0MOZdJGJ0yUujFw/HTXv0o3rBplMtopNCLxfHTWL7+W6/QZpix1UHORRsWLGv/z3+vegwrbnKvYZx+DPNcv65lLGeV5MPEWzZDuPGT5HpamvEijWinYFUZE0vkGEUZCyZL1/74F0wvrAnPeMuMfADoqcUqZJV2mQOi5fXeYlXukhjHUfqeUmZnWfCGTZSCmmHGVgc5l2Gg8ZeTDu1Lrsvi9GOYgPfbc4/AH3iFibdshviYH8RXIhSFT7cgzDgGTKMroNSIMhZMlkovK97vROesYPlBf/i5JOxzKaLbHAiDiiOOc8eqhRpZHpk47Ygj85T0p07oIOcyxviXF1Wvj50DHowlT2iY5JQAQMM1iHn9GF12R6J2SjF+4qKD8IlClvKNszNgf2NB3yugfpgssfQLg4fywuWK3fhyAa3jBNoRfp7ImoustEOzIHtRO/nRqXlcmV5CoW9/W+jPdkXGDdlybX+4XWn+Xpk0Cnj3v2dx/DRunD8C2wI2SuVECZVJGT/tAkvbHUbpRVXMcXYG7G8+InwFNO4C9bSWR4TlExHJ1fff8YJLk54/G9TCzxNmgHzaIseMSCOJfdbJvv1CNhwijtiyQhYCl8OS9Flvc+vPBwLSgCRtT9g4MHbhK0nSWmP8pMDtuUeouAgVWR91ZxhnZ6Da49YsHw//+6QlQmTf1Bsp9GJvzQ1LM58uPagsTLzMM0PIRWOXOyA23oJ9VnFlXcjcC3PEpjNR5EaHwGVRJH3Wk337kbPE1VhT1fcsNilJjJI04ydOcqp2gSnb68OtqwZn8Ry/0QRpllk6Tj+wvCcW5OU9YW5af80iQzAUF6YwLndA7FwUPa/DHLHpTBi5Ee1N04EkcjRZXPUug/z70l+VtifpJoh5ftY2SrE/Q1pVd1YVFkCoCsOtmCyuelHpY2cGSB7NGMIxWQyu7uv/faP3hSVKhWueqNWumWeKWvVxiiQd03bHL2tJ9KLKqu5JCSM3MiqRZxl+jbYArEycVf7dccdqsriKj+8uwQWQd2wsNtHvSqq681zkLL/nW+XEn+fP9GnQl0bHbEGZpeMeCYxOzeNZqQzHtqR7ZSh6M6jSTpcaZOCXNebdzLpejHpVncrxKgUa9cXFoX6v7I+IeJ8oJPV8Ri0xFIQ044cXUhEFhtk1t3bPtGwIx/TCGlxUMzCryAUVtvaZwZCEZotGu+tFmdnldaZRX4wUerF8/bdYmVB/XCpiE7SndtU97pV3qQHPfJX3pCUA2DW3hyESW6m0+s0Ogx78WDid8mP6mTyKyDpqaC+i6g//osHilG6cbx0/SAUVOlPHWElZ/aJjX4SByf5HMT37UlYGNoj/8k//6P1uekHdFUyVVr/ZYdCDxUBYAK6+97aS73xRc70mzToqC2pGOrX2pEVS/aHjMaIKnalzvzTLchwHHfsiDN+srOPHzRK+iZnRXIrxwws323mH2YGLUogqLV1V32UWi3CMTs17la27HXX12JgLlmqhU2pGuswkgzrNlbj6g+ozhmlXVj0RSQmT5TirxJHnpLmtpBg/vHBffe9t5B0bezpyLR9MlIJWaemq+i4qixdVpcvgPYxx3aFx4IOqKSaao7bgBCUZFCXbVOYKT6N5E7fgM8VnBMK1K6ueiKSETbmQNjLWgDher6S5raTX9hop9MJFNR5iokU8BDUFTQkqfUNV6QYhS7kGTf6RQi+GB3tgAdjTYZEzDoMWnDQN2aAkg6Jkm8pc4Ukyb4L+liWnK9QqXVOBYt/7iSr3qucJdeMwiiyH7bs4Xq+kua2UZni2Wvx7GoOeRLBVTgoqE4KycpssrsKpXX90Olt7GuPSaPLfunAcv8o7KJVdLYxDKoasaNkW8Xmi53aSeRP0txQruLMcRNRzOEWVeyrzRDRxZTyKLIftuzS8XkqMn6RR2TIRvSPLOlSMsCBuzz1CqewiZwGllxVp49Js8lM2Dv3o1FbViJ7bSeYN/7eTxVUMfDKLpxslOLZFaux00YdR5T5r84QZPde++M47aopCFFmO2ncq1xdpGZ51IUnGWZOtlg58ptuhgQMorqzHHpekmW+H7zzAwpMNDB7KY/rDU7E/Jywmw7R4qM5tlrUcqNYG/P5m/Ky8ojM8U+0zXZE1r1l2ZQsIlSFZd5RneG4EtYBZUTuydoPSOLJU56yO160Lx1MdF1ZpOEnF4SjosuPWCf/cpiTvDGpFTNtZH8pA1rxm3phjh/LIWcBvBg4I/fy4qI7FUm78XPvjX/B0o4TLd5dIKRJDNCgtuLfnHnlV1SlUV2fJPfkknzJJ0y1P0SiQAQV5Z33c7di4cf6IlkVM20VeeFTE1kSBGanf/+05Ki4wt/yT0M+PS9Q5NjG7HOvYjqHc+Cm9rHg/X51eUv31BkEETcw0FNtkcRW/bFVreOUdm0R19ekPT+HxxFkcfv01vHVpRnrenzR33BSMAhVQiPtgdbwsyLvJKBuZ+Z2oEneOiJzXzfr6WYlGWZ64c6zVRapGSDV+gjp8mCugVqawTTfEImhiprEQsgWhy+7AYojSJypJmoRLBygYBX7CLKpJy0qIJkp7dFabMvM7USBoHCnMkaC+ZhtFF8C1L75LqWU7RJ1jJMtbMII6/NaF47C5b6VgcRrEkOYkp7ggnDtGN++PKCjGeYRZVKktvM3aMzo1j7cuzeCt11/DwbxDwrsZl1b5nXT3BgWNo6w5wvfV6NQ8Do/NeP8N/o/7dV7noL4eKfR6XpMtDT0RSftVqvHTaDG89sER5Gq9fmWaVuyP7pMvTVQvhHwMBMUFQbe8P1khjBFOYTfO06w9ny9UPYiLTzbIGZpJaOY9/tSX6VcXvaxCriaLq+i/NIPLd5c8Q8vvXf7572VU3GrG+76x6nt/tbdrl+x8MFjNkvzBoPrg+bRz7Ek1fhothiOFXlwfrhpAFZeWAURtR2gIZvjOA1yu3fB6rUtdDa+oXBzqR96x8V/Pt3B0/D4ZOc8yYYxwah6rRu2ZLK56Xs0uO250gz6wzNVb5e06PRxVL6dlLKmQq9tzj+pCRn431L/r5t++V2zvZ/bWhScbu+IPf923Hwe6Hfw6hUzhSdbaT6arht8nCeKGlQc8M5gBBFQNICrBz1Etd112JFlisrhad42cyu49iJFCL17pslEqu6FKvBjai2b6Y3RqHpfvVvVizgKuvv+O6uYph2Wu7rI76vRwI73cqP+ytonln/PiUD+YHTx4KI+RQi9uXTiOxxNnvf8Wfn8aN84fQd6x6wKCpxfW6gwg1k+X7y4pL8icxEu27da/xiE14weov7FQdkGiGnZUyz1rk4wqbPKPTs3jCmcos8lPmYtD/Z4Cyv7ePRrtvnlopD8mi6t1RXqvDx+JXPxUR9iC+NGZgTo93EgvN+o/aseaSWBGMHvOkUIvHt2sGjnNkqiOFHqxOH4aKxNn6y4aTS+sYfjOAwDVfmJ8vqD2YkZcL9lkcRUdNUV6aJ8T+/tTNX6A+lwo04o7XwRZmmSAGiUa5zuYkmM3qHIWcOP8ESUZlJMyUujFH84fEV7iRcWZuWx5yPLmIUzfNdIft7n+GB7sablAqOpH2fIwUuj1boKF+Y5G/UftWDMOLIiZXxfjrjO3LhyvM4AWnmxg4JNZAPAuILmg4YBoxe25R9h2gYN5Bw/G3o39OakbP9MfnoLTWW0Ge9WJNCeZDEWkQonG+Q6m5M4d68HBvNNyJ0wNJiffrKwLy/2TpLpy2L+VLQ/UNw9J5liYvgvSHyx3VZRkhheH+tHt2Hi+JTdnCzX9kAUjpxF+Z0AYI7gZty4cr3M2lF5WcPXzJby6Zyc+SFRaDplGsiidQcLauPre2ziYd/DP77yRCdetLOIuYFFQsRjF+Q62I/w6Qc0uCjDP1fTCWmI5T1JdOezfypYH6otXkjkWt+9uzz2KHMg/UujFq102NktlqYYJVf2QNfy6YXiwR0hG7+kPT9Xn2qtUayF21s6Rjr4pJiu9TCNZlM4gVdiUFVzLWa3PuNsR1j8H8w7+dOndTBcSDCrq539+WYgu+MgzOjXv7ehUyrlIWaFQSFVVG1TPMVag1wLw0ZmBSN8Zta0y5dwQH1arkK3MMgoks+LLjG7H9grmijC0ZMybuHOeTGHTZrDgq4pbrQFmqIffETFBoGj4iHB5Bu0c4u4IKQWD3rpwHDfO76R5UBXrItLDImtXF2WcVMW4qPRMscDWzVIZr8ZI30Ddi2YIB1+rMO/YUuIapz88hW5n57jrRXnb+1nE0ZcMWUxay8sPKeOH76jSywqZBYsKvEBRDhQV0TZm6Pxqb5cXIxN3QrH2UMknxdI85BXEaIg0/NhnnezbL+VYIorcZO1oxH+7KyvPZYjGZHEVPz/fAgA4tiX0goSfsTMD3u3TLrvDOw6ruMDAlS9J6ErGZHEVz2qeKVE3ZkkZP0DV5ZazANuCUCsvLEkXC1VeBlXKf7K4iqPj9yMl6BPRNhbjs/BkI3F9rItD/co9La1g+X9kx2iINJLZZxVX1qV4GKLITZJrshQ3VVFvdxnoIcrjXaplMPyH13ZnZBYJu4Xq2JZ35MUqL1DLSs+8YTkLwgxCcsbPrQvH8f3Ns7BrAVi8Oy4uKt3pWXPHs+DLKIu0iLaxc2+GP4NpFJinhZqngC32hb795G9GiP6sIJrJTaM5HHXBoegxZbe78hFud6UJVQMybUTI1ht7uwAAnR2WEl01UuhFqezCRfUSBqtH6Nhqvj8sTPeIjJEkZ/ww9tgd3s9Jc5mws8JmQinKpZ81dzwrz9Dt2EqfiT/37nbsxAsCxXgI1qavV9alHcuJfO40+7DRwsLm9qchPcQU5yfbYISJ86FgeFA0ICmQVLb4zPUvt11l84xPNXPrwnGsTJzF1fffCZ1rSQUydA9Z44eVq99jd8SeaGySAmgplKJc+v5BoqCsGHHawrKEPhw/rey2y9Hx+/j5+RYc20KeaNFSkfDHclTiklqhWq5bLSxh76xSNIKTpCxIA4oGJAWSyta1L74T3KJwXH3vbTidOZReVrz8YxTiJEen5oXlRAsideOnkRJlgsSMID7wNSxsko75UqU3e2+aQZyyodSWIPjbLqWyi394rQuLioyuNPEX+qU6PjyqZanRwsL0g84GcpRFk4LhQdGAVIksw3+Lq1Y6rLDK+kihF6WXFQA7iRUpbMimF3ZyoskgdeOnlRJlE+3hDxuRk8NFmaSyJjQFZUWxLUHwQc2qj9nSho9LkhkDJAoqstRuC3G7PS9FZBn+b9bqVB3a5yiP+2KBzuzVvyFTaQAx45IlXpRV+SF14yesEuUDXnU5GgBoKas4bVF5vHHuWPWm3/Bgj7JjNgqwPgbQMAaI0vEpQEuuDQaVyDL8n/xcqntVCct1XHF3skurNoAmi6sYuPKlV8T1lc4OHMw7uPre21K+L3XjJ6wS9SeH08kAEkUaC6CoXU6Y2zrsph/12y6iCSo94Zdz6keW7UyYeRknZYSBJjIM/7Rl4gPumI1PL6PqSJ7d7i1xR39hwlWSkIrxE3cR9w/E5btLGL7zQFIr1RG2P9JYAEXtcoIC6FiMTxr5nCjh7+MgOf/bs1LbHQXqQqt5yceyyc7rpIJm+oqahzIt4qRgYDi2qDR+4bl14biX8dn/7f5UIaLHeLK4iivTS3WXFlTkukrF+EmyiLOBYPD1SXQlbH+kEWchapfjTzToz2irfrrTIaiP/XJergD/e6ucRvOkkfZCKer7m83L4TsP6uQ8CwZsM31lPJRVovbDxaF+dDs28o6Nq++/k/j748j20MAB5CzgNwMHdv1bo+oCcecQ/3e35x6h4lbXgG6Fua7s1m8Rz8Whfq/oWRxGCr34t//5n1h4soHBQ3kShRaT0Kg//M/F/tMR1m72nP6djsw07royUujFNyvr+HxhDS52jsHYv+kOU6ITs8upzF9eiSf53qB5OTo1740bQ1Rl7rRh+ooF5vPjllS3Z4Wo/SBat8eR7bnln1Bxgf9Y/qnp+/hn8xt5bB7zP48UejFZXMXV6SWwUy07V93QfVZ7TxoFuklVdY+Lqmrfqsnac/HGHIBUBD4MVKpd+/uLVXrOOzYWx0+n2zgBsMrPz7eqx0Gq5VxU5Wn/JmWyuIrLXHZyQE5l7qQkkXN2VFFxQVI/6b4hTkoc2T46fh+bpTK6HRsPQ+oX/nuYIXQw78AF6tYutpbxMG+p7PFRVtVdliu72edSuXYrmiw9F1OW/G7E3BZqjn/3trd2Jv98qyw1+Zcq/Lm80pBzF8A3K+uJdJb/GMBv+Nw4f4Sc4ROFIN3Ljipy1u4irGkfZwK0jt/C9keSfvP/bVT9yv6uO2JSWf57+PXKv3ZdHOoHH8o0eCifuv4X7vlp5q1oZY03+/ewXpB2t/ipwcbjl9ruPmdBaH0W/3exwOmxMwOxv4OS54ffvbH/f7pR8or8fX/zbNrN1BamU1gsWlwPRtDulyH6qEukfgsr50G6t5lngYLHWpRXTwRh+yOK58UvB0nXxzheH11Q5vlp5q1oZY03+/ewXhD2GZ/OLpurpQTwlxiRZfiw78rKjRpg9+6N/f8Hg9V8SEffzKe+w6ZKmF000ynnjvXE9jwxg/t5LRj94lC/l5RNRowPlRufzTwLFDzWlDzLYfuDydDzEBcbgtJjRFkf/fLDLlPocKlClGdRacxPK2tchLXujyMA0juTbmcvFHv2k337UVxZV7IDmyyu4tPZZbjIhuenFfxuj3kd2lHWglDlfeBjGVTomWY6Mqq+0UXO24XDYzPez48nmnt0466Vjf4uynenTdS53cjzk4mA5yDYjswC0Pf6a3j4wwbOHVN724KK+1flosj6/VmpDBfyFgSZz6XLotDouCUrt4qSIPvYg8n5i/I2YFnY05FLZHCLIKq+0UXO24U0DZC+sRm4qF43XyFu/ETd5Co79qLCSKEXD8dPVyuS1+qC8bWjVEDB/avSTc6Cmjdrhk9QMKQoROSa0B1/sCFjemEtEwHRSZB17MEyNX/MF+B9dQ+JciwU9I3upKlLBg/l615VwT8rS3RImZFCL17pshOHN2TW+OFhNaNYfTBVAp5UAYtopwqFyNo5Mbtcl6xKZnwP/1yUbnakxUihF8O1WCAAXhHgdjaAROM37pmcyzY2wuoBSnEuuhJFl4heR6Y/PIUb54/g6bMtpcbXtS++8/JR6ZJvTcS6ltljr2bwtzxkLtBJoXBsFgbWzm7HxmtdtvIbFqKPOHQ/Dhi48mVdjRxm+Lf7UVhS+PievGPjI0XHXLL0QFpyTjkWMooukTEuaaxNOh15xaHtjr2awZda+PjuEtkbYVTd2KNT83XHKqydSQvRJan5Zna8O1x9/x04tuWVDGFHvjocD1JuI5PzG+ePYFHhMRdVPRAXyp7aKLpExriw4+uKCyX1DofvPPC8Pnxx03YgE56fODsJPkMpD8VMrFRgQZ7sFl2SPDNBY0bF06W754dndGoe9xbXcO5YD75eWSfRv82gIAOUPRMiSdPzQyUHTyvSkIWBT2ZRelkBUE2QKet7/Qk5qd/y4okyLql5flTs5OLsJFjhyLwvwGvhyQbp3adqWF+MTs178Q6Mo2/GD8wLGrOs7XApcOvCcXx/8yxuXTi+q3+H7zzA4bEZDN95kHIrd0hLBiaLqxj4ZBaHx2Zw7YvvyHomqJBER+rkqU3DS7WnY2dZlvm9vGcphULyiRAxLtKNHxXCE0dhMsvxozMDuHH+COxaTwweynttvjK9hNGp+bY1hPiSFPcW17xgZsaPz7Zif3bUxGnthgwD3N+/C082vFcqR79pyACTc7bb3iq7xghvAeWjK5EkMcbjzuGxMwPodmzYVrU+loxLC6NT83Ub2WvDR4R/h0y0CHim6uJsVYaDHYmx2CBG1nOo8CUiAHglKc4d6/GSFQJ0i5KKgMKxl4rjn+E7DzwDCNgJjJ6rVXVOO2+NTFjV9S7bwh67o24hyPocZyQtbJplHSCCRmVBwh7XvHVpxlt7RB5/jU7NY3phJ+2L/7OzduyrRZJDlZ0eNtt0oW+/5/VgOJ05JUnNVPRHoxoxAFK7vZU2URcFGeOkanHxJ6Xkjf3ODguvdHYAyIYhxI8TH+9n5Jw2ui7GQXM4yqbGb6SIiEf1x/nYFvDIF7cpYuNFacy0MH4oBDsGMVlcxbU//sVzizMO5h0U+vZ7AhpFOHnhABAoKDL6w1/8k7mv2XfwmbFVXeWVSZxJGHVRoCq3UeCNfV7hMnQrocHk+JetMrbd6k0WPuC70Lff8/xcff8d8s8jA12MnzTml6zFm7+AEMa7KDIoebK4io/vLoFf8fOOjUVfIVMRGy9KOlEL44e6K9VLab9d8Tw//htjb+QdXBzqxzcr602FnBcOFwgUFFG1zm7PPcIbe7vw8IcN7OmwvBwwbEGj3OfNCKOg4kzCOJ4fXfswCKagj76Zx/d/e+4ZwsxQ7nZsvChvo1R2YVvAq112qp6hyeIqrn3xHbbKLj4Y7MGv+/bvmpcsb4ru48TXzPt6ZT3R4qyL8ZPG/JK1eMf5XHY8/Ypt4e813R3laJYd8fIrvWNb+IfXuqSWf6Ey17QwfnSEd012dlh4uV0Nlvxxs+QpX6e2uwRQ5+1hwsH/HFdQglykT59t4ReuwCuwk5U2afFPCoRRJHEmoS6LgmqCigbzqIiV8e+c/SkrchZwoNvB040SLAAdFjzPTxbiePgkeBU3We08I+eNkbV4J/lcvvYX0DoOKMjosQDsddLdrCQhjkfOGD8K4AX7m5X1OmPE7+FpdITgH1y/t+mt11/D4pMNz10PVA2qHzdKCBpJFs/wq5rnJ0uZfmUpKLMoNId5Wpjnp8wZHnzeJ/64eLjmkWFei0ZB1X6vEwAMDRzwvBz8RYTvb56ti1GzAM/zQ2XXKRr+eJJdQMi654c6quJb/BcUnM6cF4phAeiyLcCyANfFVtkNXA9k5g1SwdHx+9gslQOP6xphjJ8U4G+UMEPFX4Xbv3PzezN45e6HN6gc26oraTB4KI8fn21lcgGQjVkUotEojoGXXd4jwwdV++Wfv+HC4L0c7AIC7/nJqqEjGyPnYlAd38Jk/q8N1gU/LD1JFryfzPjpdmw8NMaPnjRS2v7fh/H8GOUvFrMoiCHI88O8Fv+x/FPg0Svv+Vn523O4qHp+kno5DLsxci6GtAxwPtShkecnaxUL4vS1MX4MhpCYRcHQDhg5N7QDprCpwWAwGAwGA4zxYzAYDAaDoc0wxo/BYDAYDIa2whg/BoPBYDAY2gpj/BgMBoPBYGgrIt32sizr/wawKq85BgMJ/l8A/lfajTAYJGPk3NAO9Lqu+9/8v4xk/BgMBoPBYDDojjn2MhgMBoPB0FYY48dgMBgMBkNbYYwfg8FgMBgMbYUxfgwGg8FgMLQVxvgxGAwGg8HQVhjjx2AwGAwGQ1thjB+DwWAwGAxthTF+DAaDwWAwtBXG+DEYDAaDwdBW/P8Ba9atJJBvMyYAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(noisy_data_test[3*i+j][:,0], noisy_data_test[3*i+j][:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('noisy_gudhi_pc.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "id": "5f0cf0e5", + "metadata": {}, + "source": [ + "As one can see, they contain 1 to 3 circular shapes. We will use these circle numbers later for checking the accuracy of the topology computed by RipsNet. For now, let's save them as proper labels." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "281bdfb4", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import LabelEncoder" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "b3acd752", + "metadata": {}, + "outputs": [], + "source": [ + "le = LabelEncoder().fit(label_train)\n", + "label_classif_train = le.transform(label_train)\n", + "clean_label_classif_test = le.transform(clean_label_test)\n", + "noisy_label_classif_test = le.transform(noisy_label_test)" + ] + }, + { + "cell_type": "markdown", + "id": "4ee077f6", + "metadata": {}, + "source": [ + "In order to train RipsNet, we need the correct topology on the train data. So let's compute it with [Gudhi](https://gudhi.inria.fr/python/latest/). The topology of point clouds can be inferred from several filtrations, so we will use a fast and sparse one (in 2D), namely the [Alpha filtration](https://gudhi.inria.fr/python/latest/alpha_complex_user.html). First, we need to get a sense of the maximal filtration value to use, which we will approximate with the largest pairwise distance of the first 30 point clouds." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ed299438", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from sklearn.metrics import pairwise_distances" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "fa0ef6b8", + "metadata": {}, + "outputs": [], + "source": [ + "ds = [pairwise_distances(X).flatten() for X in data_train[:30]]\n", + "maxd = np.max(np.concatenate(ds))" + ] + }, + { + "cell_type": "markdown", + "id": "2c83f64b", + "metadata": {}, + "source": [ + "Now, we can compute the persistence diagrams (in homology dimension 1) of the train, clean test and noisy test point clouds!" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e0c171b1", + "metadata": {}, + "outputs": [], + "source": [ + "from tqdm import tqdm " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "17c5cea5", + "metadata": {}, + "outputs": [], + "source": [ + "import gudhi as gd" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "2048d521", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████████████████████████████████| 900/900 [00:06<00:00, 130.57it/s]\n" + ] + } + ], + "source": [ + "PD_train = []\n", + "for X in tqdm(data_train):\n", + " st = gd.AlphaComplex(points=X).create_simplex_tree(max_alpha_square=maxd)\n", + " st.persistence()\n", + " dg = st.persistence_intervals_in_dimension(1)\n", + " if len(dg) == 0:\n", + " dg = np.empty([0,2])\n", + " PD_train.append(dg)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "4c803c26", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████████████████████████████████| 300/300 [00:02<00:00, 131.32it/s]\n" + ] + } + ], + "source": [ + "clean_PD_test = []\n", + "for X in tqdm(clean_data_test):\n", + " st = gd.AlphaComplex(points=X).create_simplex_tree(max_alpha_square=maxd)\n", + " st.persistence()\n", + " dg = st.persistence_intervals_in_dimension(1)\n", + " if len(dg) == 0:\n", + " dg = np.empty([0,2])\n", + " clean_PD_test.append(dg)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "014910fd", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████████████████████████████████| 300/300 [00:01<00:00, 196.51it/s]\n" + ] + } + ], + "source": [ + "noisy_PD_test = []\n", + "for X in tqdm(noisy_data_test):\n", + " st = gd.AlphaComplex(points=X).create_simplex_tree(max_alpha_square=maxd)\n", + " st.persistence()\n", + " dg = st.persistence_intervals_in_dimension(1)\n", + " if len(dg) == 0:\n", + " dg = np.empty([0,2])\n", + " noisy_PD_test.append(dg)" + ] + }, + { + "cell_type": "markdown", + "id": "5ec6ecfc", + "metadata": {}, + "source": [ + "RipsNet actually works on vectorizations of persistence diagrams (PDs), so we will try two: the [persistence image](https://jmlr.org/papers/volume18/16-337/16-337.pdf), and the [persistence landscape](https://jmlr.csail.mit.edu/papers/volume16/bubenik15a/bubenik15a.pdf). First, let's filter out any PD point with infinite coordinates." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "3587c9a7", + "metadata": {}, + "outputs": [], + "source": [ + "from gudhi.representations import DiagramSelector" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7060d9f7", + "metadata": {}, + "outputs": [], + "source": [ + "PVs_train, clean_PVs_test, noisy_PVs_test, PVs_params = [], [], [], []\n", + "pds_train = DiagramSelector(use=True).fit_transform(PD_train)\n", + "clean_pds_test = DiagramSelector(use=True).fit_transform(clean_PD_test)\n", + "noisy_pds_test = DiagramSelector(use=True).fit_transform(noisy_PD_test)" + ] + }, + { + "cell_type": "markdown", + "id": "61c9fa91", + "metadata": {}, + "source": [ + "Fortunately, Gudhi also has code for computing vectorizations!! However, before launching the computations, we have to estimate a few parameters: the image bandwidth (taken as the 20% quantile of the positive birth-persistence-transformed-PD pairwise distances),\n", + "and the image and landscape limits (taken as the min and max of birth-persistence-transformed-PD point coordinates). " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "a967aba2", + "metadata": {}, + "outputs": [], + "source": [ + "vpdtr = np.vstack(pds_train)\n", + "pers = vpdtr[:,1]-vpdtr[:,0]\n", + "bps_pairs = pairwise_distances(np.hstack([vpdtr[:,0:1],vpdtr[:,1:2]-vpdtr[:,0:1]])[:200]).flatten()\n", + "ppers = bps_pairs[np.argwhere(bps_pairs > 1e-5).ravel()]\n", + "sigma = np.quantile(ppers, .2)\n", + "im_bnds = [np.quantile(vpdtr[:,0],0.), np.quantile(vpdtr[:,0],1.), np.quantile(pers,0.), np.quantile(pers,1.)]\n", + "sp_bnds = [np.quantile(vpdtr[:,0],0.), np.quantile(vpdtr[:,1],1.)]" + ] + }, + { + "cell_type": "markdown", + "id": "96769d25", + "metadata": {}, + "source": [ + "We can now compute and normalize the vectorizations (this can help RipsNet training)!" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "0af7b60d", + "metadata": {}, + "outputs": [], + "source": [ + "from gudhi.representations import Landscape, PersistenceImage" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "f40a7f03", + "metadata": {}, + "outputs": [], + "source": [ + "PI_params = {'bandwidth': sigma, 'weight': lambda x: 10*np.tanh(x[1]), \n", + " 'resolution': [50,50], 'im_range': im_bnds}\n", + "PI_train = PersistenceImage(**PI_params).transform(pds_train)\n", + "clean_PI_test = PersistenceImage(**PI_params).transform(clean_pds_test)\n", + "noisy_PI_test = PersistenceImage(**PI_params).transform(noisy_pds_test)\n", + "MPI = np.max(PI_train)\n", + "PI_train /= MPI\n", + "clean_PI_test /= MPI\n", + "noisy_PI_test /= MPI" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "ac507b7f", + "metadata": {}, + "outputs": [], + "source": [ + "PL_params = {'num_landscapes': 5, 'resolution': 300, 'sample_range': sp_bnds}\n", + "PL_train = Landscape(**PL_params).transform(pds_train)\n", + "clean_PL_test = Landscape(**PL_params).transform(clean_pds_test)\n", + "noisy_PL_test = Landscape(**PL_params).transform(noisy_pds_test)\n", + "MPL = np.max(PL_train)\n", + "PL_train /= MPL\n", + "clean_PL_test /= MPL\n", + "noisy_PL_test /= MPL" + ] + }, + { + "cell_type": "markdown", + "id": "69b64e49", + "metadata": {}, + "source": [ + "It is finally time to train RipsNet! We will do it with TensorFlow, and custom DeepSet operations." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "9d34e24f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2022-06-07 14:59:07.174348: I tensorflow/core/util/util.cc:169] oneDNN custom operations are on. You may see slightly different numerical results due to floating-point round-off errors from different computation orders. To turn them off, set the environment variable `TF_ENABLE_ONEDNN_OPTS=0`.\n" + ] + } + ], + "source": [ + "import tensorflow as tf\n", + "import gudhi.tensorflow as gtf" + ] + }, + { + "cell_type": "markdown", + "id": "b52c9bd1", + "metadata": {}, + "source": [ + "First, let's convert the point clouds into ragged tensors." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "4d783f99", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2022-06-07 14:59:11.699013: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:975] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n", + "2022-06-07 14:59:11.703509: W tensorflow/stream_executor/platform/default/dso_loader.cc:64] Could not load dynamic library 'libcudnn.so.8'; dlerror: libcudnn.so.8: cannot open shared object file: No such file or directory\n", + "2022-06-07 14:59:11.703516: W tensorflow/core/common_runtime/gpu/gpu_device.cc:1850] Cannot dlopen some GPU libraries. Please make sure the missing libraries mentioned above are installed properly if you would like to use GPU. Follow the guide at https://www.tensorflow.org/install/gpu for how to download and setup the required libraries for your platform.\n", + "Skipping registering GPU devices...\n", + "2022-06-07 14:59:11.708056: I tensorflow/core/platform/cpu_feature_guard.cc:193] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: AVX2 AVX512F AVX512_VNNI FMA\n", + "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + } + ], + "source": [ + "tf_data_train = tf.ragged.constant([\n", + " [list(c) for c in list(data_train[i])] for i in range(len(data_train))], ragged_rank=1)\n", + "tf_clean_data_test = tf.ragged.constant([\n", + " [list(c) for c in list(clean_data_test[i])] for i in range(len(clean_data_test))], ragged_rank=1)\n", + "tf_noisy_data_test = tf.ragged.constant([\n", + " [list(c) for c in list(noisy_data_test[i])] for i in range(len(noisy_data_test))], ragged_rank=1)" + ] + }, + { + "cell_type": "markdown", + "id": "90928588", + "metadata": {}, + "source": [ + "Next, we define our RipsNet architecture for learning persistence images, a sequence of fully-connected DeepSet layers, with GeLU activations, Adamax optimizer, and early stopping." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "eb9bbe5c", + "metadata": {}, + "outputs": [], + "source": [ + "callback = tf.keras.callbacks.EarlyStopping(monitor='val_loss', min_delta=1e-5, \n", + " patience=200, verbose=0, mode='auto', baseline=None, \n", + " restore_best_weights=False)\n", + "optim = tf.keras.optimizers.Adamax(learning_rate=5e-4)\n", + "inputs = tf.keras.Input(shape=(None,2), dtype =\"float32\", ragged=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "b808a764", + "metadata": {}, + "outputs": [], + "source": [ + "ragged_layers_size = [30,20,10]\n", + "dense_layers_size = [50,100,200]\n", + "output_units = PI_train.shape[1]\n", + "activation_fct = 'gelu'\n", + "output_activation = 'sigmoid'\n", + "initializer = None" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "3b4b70b3", + "metadata": {}, + "outputs": [], + "source": [ + "ragged_layers = []\n", + "dense_layers = []\n", + "for n_units in ragged_layers_size:\n", + " ragged_layers.append(gtf.DenseRagged(units=n_units, use_bias=True, activation=activation_fct,\n", + " kernel_initializer=initializer, bias_initializer=initializer))\n", + "\n", + "for n_units in dense_layers_size:\n", + " dense_layers.append(tf.keras.layers.Dense(n_units, activation=activation_fct,\n", + " kernel_initializer=initializer, bias_initializer=initializer))\n", + "\n", + "dense_layers.append(tf.keras.layers.Dense(output_units, activation=output_activation,\n", + " kernel_initializer=initializer, bias_initializer=initializer))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "656daadf", + "metadata": {}, + "outputs": [], + "source": [ + "phi_1 = gtf.TFBlock(ragged_layers)\n", + "perm_op = 'mean'\n", + "phi_2 = gtf.TFBlock(dense_layers)\n", + "input_dim = 2\n", + "\n", + "model_PI = gtf.RipsNet(phi_1, phi_2, input_dim, perm_op=perm_op)\n", + "model_PI.compile(optimizer=optim, loss=\"mse\")" + ] + }, + { + "cell_type": "markdown", + "id": "56ca6155", + "metadata": {}, + "source": [ + "Time to learn!" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "7f5c7548", + "metadata": {}, + "outputs": [], + "source": [ + "history = model_PI.fit(tf_data_train, PI_train, epochs=250, \n", + " validation_data=(tf_clean_data_test, clean_PI_test), callbacks=[callback], verbose=0)" + ] + }, + { + "cell_type": "markdown", + "id": "628f84eb", + "metadata": {}, + "source": [ + "Learning is done! The advantage of RipsNet is that we can now use it to predict persistence images directly from point clouds in the blink of an eye!" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "ea151246", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "29/29 [==============================] - 0s 9ms/step\n", + "10/10 [==============================] - 0s 10ms/step\n", + "10/10 [==============================] - 0s 10ms/step\n" + ] + } + ], + "source": [ + "train_PI_prediction = model_PI.predict(tf_data_train)\n", + "clean_PI_prediction = model_PI.predict(tf_clean_data_test)\n", + "noisy_PI_prediction = model_PI.predict(tf_noisy_data_test)" + ] + }, + { + "cell_type": "markdown", + "id": "4b350e7c", + "metadata": {}, + "source": [ + "Let's see how accurate the predictions of RipsNet really are, at least on the train set." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "e73f4d90", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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S3RL2nB3cz34LmiXrhPu5tydhrO1GvJ8//U61LPzJ/P344m6iJEnqfq59W2vyD76t9/PU7zOnlAhKxcwOAAAoGg87AACgaDzsAACAomXl7Fy1ffvUfnFi347F+Krm8Dy1aqli4zsxRvqs++2qkVqa+PaNh/dtSbub2i4ila+QynMwI8ZbuI7Z8e+r5pwfDq/k3LvS/tfqcOXeUei69bDK01kLy2jNVqW9sOnK+K/Ltig5pRu6qaXndXkj09guou6WM6lrK5WzkbOMPvU70XuIvtZ/Ts6y9LNx1fbC/dyXD9mV+/k3cj/347XxrV7o+0P3e1VjV5alp+7ZA33y2pCD+VL69O/kf9+aL0UO5ixiZgcAABSNhx0AAFA0HnYAAEDRsnJ2VuyN/dR+1m/7GK/m6DyyB6HtcxQaFmO85kK8z3a/HfueyZf40B1rjs5A28d463J2UrkMqToNF7skPPId9sxeuJSANVdnZ3lbTv69tP2OJbHMjq0//KZ/fFc6Ny2+8fJqVcfk1eo4OTt1+Wcp/ty6OjEpOeM+65Y0otRn1OX3jFr7p64mz2nvI5O7h6zYnv3YPuu3e+47bctWDV/Z/dDWnDOv953qvwtPWg9jZ879XM/d9deBXBMD38fX4cnJweSeXSpmdgAAQNF42AEAAEXL3i7iu668uJ/2PLDFcK5Oy/tpUN0h3b+29fF66Gu3ZCfzVviQaF3aYVpUpz11++pplKZnCvQy6ljcLaL7pjr+5E0897aGlHwUVlbHrrvBe9X2Qp+GBfwu6K+WZF+UdRve1u/TToVrlfbtnXhWvlFDXuNck9NaKj/qDu7jyNma4/Tebv/zuxP7tJTILXse2r9zuQe6Q/qB20Ol9f310Lfbei9+UMsd193Pw67odWkJqaXnKdyzS8XMDgAAKBoPOwAAoGg87AAAgKLlbRdx2LG/fuqyGdyrv761Gs5dD8HYmKPQk4/1Md6n12P9/T/ckZwdn75QF+P1X2lXY7pr0vYJFuMsf81ZJjrqktJJxe1ZZnmSjpl94dp+pDyXc2/r9hHtIcdmduNl9Q/Nmwehb6Acg6fjXPNy5hN9piX3U9soqFQOyvClx+OZVN7LeSyNz1mmnvrMnPvP6Ndws3NoD796cmJf+1Zsb6zEdeHzbrxqDmbH3c8fr9wLfbt3JGfH38/X5UvouPdL0buag1m3fYSXKiWiuCeWgpkdAABQNB52AABA0fLiNW/MXMHNMGX+3s24Ze3aJ7HdWKmmPXWpoq/W+T23tN3MbPt+rOS5+8hNgz6S77eaaO8uS2dql1yVqrg5zlLU854iPe/Pv5iOLf5mfMDmkZz7V/piX9FAKijPuWXrazdjGEjDvo3UuErNwtde0X6c110DfsluXQVgLxVaydntO+f2lPp+dZ+ZE25KhZ5zlqnXfc4Z2LN4P3dff0nCWHd/+HVoH1z/sn/sw1ZmZi270T+uvZ9/4e7ndeFafz9v1ZVUSF0U+vdmF/RZwMwOAAAoGg87AACgaDzsAACAouXn7PzMtX1cV+KrS1JW/95PqiWOz1diQHjDbS3xviQ6vL8S25/7pYtSRX+gffKqyr/IyTkYZ5fkaUjlEZzUP+zccfIERv3McT93+no2fGH1bWm/lqXn13QpuueWoqd2jTaL2618ntrl3CwzZ8ePz5yl56m8Bn2fnHNzcoFSLsI1qu+bs/VFKmdwSt9XczCvu+M/xlMXZFzf/7vq5rp9PebhrNs3/WO9n99aidv07I56P2/V5eEsJPpGdbnuY3lK/tneYmYHAAAUjYcdAABQNB52AABA0fIC5Adm9pVr+7jut9MvXXLJDt/7/u9C3wuXCdGSmuE+d8HM7MsPq2Sgo9WV+CFaZ8fnNgyE7bXujo+Zj1Pfw6vLrUnJiaHmxFcnFYstJ0enzmt3rD/JYerPnyj94bdPMRvcLqLnS/APbAFR8zmTO9nRnJJU7Zycv38q92Ja42ac7WBy3jfnc3yeU+p9UnlBmfbN7Jeu7Xd9+G7iK5jZgrvff/d6rKXz1Kotf15IltumxW0nfn/Hff9VGTepOjsD26DU1d1J8Z+bcz8vSck/21vM7AAAgKLxsAMAAIo23nYRftpTSuPbT6TtNql971rcSuL+3Uf949/a90LfhoSxller6f/dzZowlm/rlOjuODsLn/a14yx5zClTP6mllWcR4rp8Ur/d17JZ+YYvuSDlF8wt390Je6kPbg8Rwlp1q7NTS88Hwrc5S3J9aCA15sbZjiHHpHYyHyfM5n/WnO+jy/H1fVO/a//a1BLrk16b0DazX7u2/9FeyLn6J3bL1G/ebIeu+7ce9Y9/YZ+GPt0WZWG1+tkON+VnWZfPTKYlpH4v44QXUQpmdgAAQNF42AEAAEXjYQcAABQtK3h5dGi2p7k5f6ELue1zafv0GlmmvnG3Wo54256HPo3xrq5UZfZ3V98LfQN5OakY70CsO1WuPWWcUvSpmP/AIufE63Lye3K+z6Ryby7XUvRji9/QH6c2QjCzOBwkpcy352WpudrzV9TqGDlaWTsN6DWQ3tKiMq3tGMbJ9Rm1zEPd2EwtAz/t63L5v8vkto446prtudycfZd6s6Fj9/fS9v0PYtf6rWq7iHv2OPbJ/XxtvRpjL1evhb6s3LTutPJwzqIUAs4CMzsAAKBoPOwAAICi8bADAACKlhXobB+Z/Vprh/zFJzE0a8ta8+aWO5a8n9tvvu4fr6+0Qp+WF7/hYr7PNuUz1qWdivEmf3TNQDpt7kKuUWuB1MWOT/u+qbygunPP6n3P3rHFzAifSXBTzt1oJt5IrxWXptOxpnQlxmN7UnVqJmlSW6pMyjjfJ5UPp/y5dZ856s9dV1jJO20+l26vYPbmyOy/uzHqP+WvvornXtN8yI/csd7PO1Ui0NVm3BblluZkNlr945ebH8Q3WpfPzMrBTPVdxOsJ08bMDgAAKBoPOwAAoGhZYayOmX3h2n5B5IJM2f/Vq9gOU51xBwhrdqpjDWN1w54Uslu0Tq3qT7Oa6Bt5C4hJyll6Po3PqFsSnrPc/Tx2Xp+OJTP7/pA+mWi3NV2i66f378auw/er45bM0R/YYmiHXc/roiGpoZtcojvO36F2Ef4ppZatn9U1mXMdTisE639WLQGQ+l3ruacPnR2a2RPX9j/Z1U4898dyz7Y/umO51ze6R/3jzWZ84YGEb5vmPqjuz528n6ucsZNc057xPrjImNkBAABF42EHAAAUjYcdAABQtLyl5xZzdnz+gi7JPXwR2wv3XEPye+ZcWHf9Ziv03bb4Rss+fj1/HN9oVZZX+p9O83vOJUcnZ6l5Ss7y2Jy+nPe8XFtA5Di2mCWx4Y6loL3NSV5OKJ0vy9Jb16ukA83R6eTk7OxKu2XDDaQc+H+o2x4i9TdNbWGgrxs1f0KllmTnjMecnJhJLVOu+37+O6TyCfV3kMop8Z9xPNCr93M/tm/Lucd6z/Y5PdK35HJ41lbimNKl5yEHM5VzqbJKiajU2CBHp1TM7AAAgKLxsAMAAIrGww4AACjaWIkrf0q80SeSV7DhSuWb1HDwNJeh4Wvs50r+dIPl06dv1Hoe2n/aEvF13+Ei5OFcvNyfa2b2PzVO7tvQHJ3r0vZ5Oh/FLp+Ho9tF7MsWJaH/mXyGjutUSkeyzo7SPv+30TeeVJ2dlLMq65+TJzQpqZ9NPzN1rv4dFoYcD97v5mz43eCJnPunl7H9YeIb+fu71kmbz7mfp+qo1dZNG/Z7OKmdGsvnfz/CZDCzAwAAisbDDgAAKFpWGOvY4qSeLuD0Xsps5UbbNXQ3aLdUcdEOQlcyrLUk8bD5gfXlCYNLMc9eznYMZ7Gr+KTOvXihqRzzTbMNH4LyY1dCU/YTafswl4S4/BYRul3EQLsX20E70a5dmZwTlkn93fytoy6klTMec7Y3GfV9cpYej7N9QCq+OCmp7SLSS8/1fu6/rZZYGPiN+Xu4bg0UdlKP/yHQ8G3o19v3xH5l49x/prU9CM4aMzsAAKBoPOwAAICi8bADAACKlpWzo0sVUwXOb+rSXR+PTfRlLT3vyhtd+Erfk9rGIWe7iGnlz+QsjU+5gHHwpsVtH/y40jr6uvTc5ewcyzL15+7Fz+1W6NuxtdB++cxtUlG3PcTExn0q4Wcv0Vc3xny77svmlEZIfeZpXzeOup97Un+YVE7U6NVDrtjwTT/0J9mQrU+CFWm7c/ekpEIj9TvJ+XUNnDup+8g4OVqTcrlzHi8qZnYAAEDReNgBAABF42EHAAAUbaztIj5wxzfrTvZxXa2n4F6sOTqay6A5PUFW1ffagiQXzKRq8oy6XcQ4eQ85r51UzaAxNM3soWv7OiIP5dxvS9v1f3XzTuh6bPf6xwdSb0THue26i0RzdnLq7Azwv8O6+jj+gtK/4ajXS2pLCrPRx3nOGNPaNP73kJOzMc54zHmt/76TywvSnB1/D9fUtKt6z/b5aNJ36NLR9H6u9aRC3Z26HyXrv1aj/m30S5xHvsxly9G5HLWImNkBAABF42EHAAAULWtisGlm33JtP+F3X869mdoNWvscnebUadCOD2O1Zeq6JW/WHnJ8bia1pLDudaMucR9nafy0trM4h2nReTNzK7/tU3esy2zvxebXD1f7xy8kGLBjVd9jeaG2Q+iqJZ+ZCmNpyGvApMK1qa0QUrtK6y1HQ2m+f1ph1tRO4XXjbdTI/7SWoae2i0jver5gMRXBn63R2oXE8nLNYei5X9F2uJAGt4/Y899ff0U6lncTfWNtg3LRUxguuosbuvKY2QEAAEXjYQcAABSNhx0AAFC0rAD0FTO75tr33fFtKSc+95G82Idu349dbZfDo0twfZ6DmVnLblQNjdtq6DWZp5OTnzKpmOQ4Je2nERcdZ0n4OHJyLc4hHrxsZj92bZ96I7kLrz+J39+P11/ZD0Lf7+x7/eOB7SI6svR8yx235PtlLT0/1n9ImNY4T91mNOfkLLY6OW2eS913yNnOou5We9r7kX73077n4DhYsDi077vjW1pLRFLKQt6lbIvSWqk6dbuIbyQnM9zPW/IZqXE+8OskDwdpzOwAAICi8bADAACKlhXGWjazvxnSd02mMmWWPk6DytLz1LTntm2Gds9vma7TnKkw1kBIS5dw+nbd9HRd5dlR5Cztrnvtac8dJyyQE2KY1A7pZ+SqmX1SNY9dCLYj4dp/a3wa2r50goZkn7r5fi2x8OqJ1KxtuWMduy1pZ83Yp3YgT7VTYYKcEILecnLGrvLn5lQ+TlXJ1b7U++Z813Eq8/rPybn3pJeeL18x+5shUbE5vX9rWsIDdyyhXT+29yXsNnA/7yXu58r/CmuXnk/jPncB71U4NWZ2AABA0XjYAQAAReNhBwAAFC0rZ2dxwexDv5Gzf/UDOVnbPiVBdor2pfKfyrp0zXtoddarxpZFLWn7MO5APHhS5cWntcRxUjkx4+xWnpITvx71u5+PdnPRfvOwGodrttM//ko2RtEcBF/+/pGc63MZfvfme6HPnkhOxbPwwkjzFXx/bW6aV5c/Myk5t5lU/kxqmXrqfVTOEvFULkhq9/Q6o477UXdlH1x6fmXRbNnnUvq31v0iPpG2y9FsS5/PTfujrFnXXLXW1rrvjLQ9cimRce7R538/wmQwswMAAIrGww4AACgaDzsAAKBoWTk7tmix3oKvxbAh52pdhh9Wh1/fi1tAbLsXaw7EQD0SH+PVnJ1UPZLasK2Pt08qD+es4r2j5i6onNyfSb1vXZ2Vs4+Zt23Jfuu2djiwxf5xx2KhHR2fv7Cq7s5TqaPv8312W7I9xLPYDGNbx7nm7AzUHPFS9aS0L1VPapw6MTnX0/yQ4zrjbMWSY9SaN+ostjdI19mxpsXcnI0hx2aD20W48lKPVz4MXTn386NnrkiPXgOp3LQB+vtM/W3GGcu4rJjZAQAAReNhBwAAFC0vjLVmZn8/5NU6zanlxt1S9BfS6Zee627QOu1pW0vVsc5GtqSdnN5/Le1pLV08rUmGb05b4jznM8f5PpNapn42Ota0L+07/XbXbVGyL9uZPJaB70NX2vdo210Ej5ZCX3LZrY7j5DYpusQ4NWU/qW1P6q6PnFII/r3GWRo/6jWb87OM816p30POVhc5S9HFipn9xLX9Nj6ahiDbAb15WP1/soZr/bjXe72WEkmGppLh2pywlZ57/vcYnD1mdgAAQNF42AEAAEXjYQcAABRt7vh4sIz4MJuNueP7w1YzLsrJWkl9Zcixme0tVvkLr+1a6NP2bq968fGOxKt3YjPEeDWke6yx7QN33JE+jfH2/BsZLrOWHR/vhXW5mzfmju/7NAT/vwQNCw7m4xhs29KJx2Zmb9zAfyMXQWdfLhg/lvfkK2s7jO2edKbyFfTcI2n3En3HQ45PauP8nTDO1+eO7/vtfxLjvNeMS9fbrgSD5rH5sb0r47x9GM+11+59NUcnNc6PdezqPdvfz/Venxr3jN3LbXCcv5OVoHx/wewzn7jmS45IApv9SNo+Ee5vY9f/c69K3Pw/7H8Mff9o/ym0/9ur/9A/bv/Xm/GN/qt85j+5419KX3tb/uGRO/5C+p5L2/+XiGS3y+0fBv7l/l2zz/439w9unB9L/ZE/3rwR2r9z9Xl+ZT8IfZ+5i+Bn9u9D3+f/71/HN/Zj9zP5gj+Xth/bXU28fyLtF+5Yz9W2H+f6fwupPay4Ji6eE8b5HbPP/ov7B38/vx7Pff3t+J+K3zY+7h//XG72P7OfnnhsZvbLP30a2vaP7n8I/il2Jcd5W8fq59L+kztO3b/N4thm7F5ug+P8HcJYAACgaHlLzxsWn/j9tKO+0xtpn3Kj8DV56p6XKcfmUjU92a779lnFWFNLXjHTdNY7eWqj/qST6JBLDcGzqISA8h3Z4H16iE4jVg5fHAgbnWzgeuhKO7mT+aRMsoI2LitmdgAAQNF42AEAAEXLi9f0zOyVa/tEe50OlQKx/pOOJfnN0wqbDYkhNOZdu2463/90A+empjY1gQ0zzc286yy8hln9eO3IEkW/oeiBbCiaVFc0NznOc2JexMdmypzFpGR/LCtmGzI2/PjVe7SvOK591pXBmxOuzRqep60ij1nBzA4AACgaDzsAAKBoPOwAAICi5eXsXLGBWG6f7nI+7LwTbNvG0D7Ne9jbdZVm62K6yRhvKo6r5Z+1gBWKlhjnPbli9qR6bGrpue+rXbqbs/F1WL6bc0mTyzDTtJSIHzo1w9PflzXPshmqF4uuFLdNlSTJun9rDuZhog+ziJkdAABQNB52AABA0XjYAQAARRtvuwi/Ibm+0zVpuxoOO9djDHXRxXg1/qt1TIK6UuNZpch9jFd/GOqPzJQrFjf/dDWj9lZiASnN0fE5PLobtDfQpzs+5wy5UGdHN+xMGSeXgWvi0mtYzE3zt1rJWdPx2rL1oW/rczA153Lgnjyx7SJS+WfaR67aLGJmBwAAFI2HHQAAULS8MFbTzB64tt864l7NO7v2XuP0U6Ia1ur5cuM6BZoqq1876+6n9DUUwC7os+T4itmhm8b3y811mwcduz6MpWPXt7u6RD01vZ9VYmGSy2xPO91PWKAEh+9Xx1piQce5H8va58d2y26YdA5vZ43zcfaS0GuEkOwsYGYHAAAUjYcdAABQNB52AABA0cbbLsKnL2h5/Y+kfbc6HNgCwm3PoPFfXdp72Ip5EEEqh2cgLKv/cJjowyzpNeZs53o1uPcTeTi6XcSBLrV1Ou6Cab1aj52pFIS63LSgbun54ZBjzJrjebNDt83P/mqVy9JtxPtuQ0qA7LrroCN5bHqNBKml5lp+YeTSIYr7OZjZAQAAheNhBwAAFC0vjDVvFjYo9zOdGsbSzZ/9dKlM/e8mljFqmMDabtfcuul9nRZN8tP/+mvJqUqLy+7QFuzPPu7q6HjU8frcbvePdTrfnxtKKLztjFJLz8ea3vfLblOhXJROw7Xeo1BjJFZFVi/8zd3i/X3/zdV4ckte7O/RWeHavVSnpSviM85nETM7AACgaDzsAACAovGwAwAAipafs3PTtf0G0DflXEl5eHm3OnlL4r9+6aIu3R3I2dkdcmw2GA8eK+brUV58lhzblaFjMrUFhFkso/Bcchl8GYXDXcllUKlxnhx+dfkIqVyGcd4Xl03PGiGPzOfa+HFsNnjP9vdl3frEXxOdtuQEpbZFycrZqZOsOyIY27OAmR0AAFA0HnYAAEDReNgBAABFy8/Z8WkIPmfnupwrOTsHLgfisd0LfT63QeO/rd56fKNUjFd/mmSoNicgTEx3lnRtPtQO8aXyta6O5uz4mlEHUkY/vHZX8sBaA1/i5GOzmjo7OlZT+1DkXAPkrZWma/O2bZv9tt/Gx/+7WRzXZmZP3Q0+VRvt8Nm1+KE6dn0+WmqompnZcc7JQMDMDgAAKBoPOwAAoGjjbRexIn3O69tx2ttPe/bkZD8NqtOnB23ZRTqnvHjoP5bO1HQ/SxVn2ZEsPfdLxnXKXsvo74Xlu7FsQgjR1u3wnBVt0rE9DYz50nRtIaQQ+Pty3bY9vr9lN+TcRFmFlrRTaQkD4Vp/Ieh4ZHwijZkdAABQNB52AABA0XjYAQAARcvL2WlYXGLujo9jZXzbaQwvo78vMV1fply3i9htxfcJcVzNZWgNfmX3jVKdNVjWOEu0jL5Xv11ENZb1PXbfuHPr8hN8uy6/x/bdsY5VchlwsiO7Eu69Pqesl9gCwiwuU9+x1dAXcjK35EN1eKaWng/IGcupc7mfzyJmdgAAQNF42AEAAEXjYQcAABQtL2dnweI2EK4afidWxg8xXbNYP+cbyWXwNU22pM6OdWPsOMSAc2qVSMw5ndug8V79NZEHUbIjuxJyzPy2D6ncBbOYp6P5Z522u0h07E5qV4csjONZprlpi3bQP9ZxrvWkdPuIcO7zjaF96a1OxMC4T10UbB+BNGZ2AABA0XjYAQAARcsKYx03zA7dJrYLb6rjpyt3wrm67cNOYjdov8yxodOPuju0/8Z1oYBgP9WZ80YonC7J9bqyJFfHcsrhriu5UDfrnpruT07v14WmfL/uZK7lGbgOSqbbonwTQrDpcd2wXv9YQ15HPvWgrsRCaogN9OWEXf1/KAjXgpkdAABQOB52AABA0XjYAQAARctbej5n1nOvONionpV8DNdscEnusu0N7Uvl89jS8eCXeKfu22elHGj+AvCW3wKiJ4NOy+r79p7m/bTdGLsQK2frchnIeyidH69Nt/S8ZTfCeR25Lz8NNUgS6nJ0UtuijHUNpF5MKZFZxMwOAAAoGg87AACgaDzsAACAomXl7MwdmTU7Vfv5SpVrM5i7EN9aazF4vraO5vNYay62c8qNB3UB4NR2EZglxxbr6fh8NB3namD8evM+/2xu6Glvz013j3FyBurslOzI5sJ49Tk7Sse9z8HUe735bVF0COlQndbQDW/MVhJgZgcAABSOhx0AAFC0sSYRe0Om+t+2u0PPHXyf6mss52zrMNEp0FQZ/ZytJnDZzZnZvIzndxatE9o67v341XNtybXnl0b/gjruu/5am2QJhdMuPdfPJAx8GfnxqvdvHeeLiZBXGOeWMc7rQlzhK+kY0zahKkTM7AAAgKLxsAMAAIrGww4AAChaVtZLb37Odq5XL1nr7fSPnzZi+fCB5YjOwJYQoU+W7qZCvvoRq4lza1+8fOJZmD1zdhxyFPwydM3l0VyGVG7alfnq3CMdfqlxXpv2cLXuhFOijP4smbeebdp2v+3Hrv93M7PdROkQvwzdTMZ53T05NbaTaTeaJ6bt+SHHmFXM7AAAgKLxsAMAAIrGww4AAChaVjDzytGxLbarOL7fOuLqzRi31TjumlX5PVp/xJ/rzzvxG6aqgKv5oY0TXpyTn+Djw+Q1lKZhPVu3Vr/tcxn2pOZSR/LP/FjWmlFr69XYfrW6Ej9UcxdyctWy8hMmWYcHl9kV69lVN173Xd6i3r+vyljesK3+8Qu7FfoaPmdnnHFdd8se/WTMIGZ2AABA0XjYAQAARcvb9fzQbOmF+wc3g7/ZiUsVD5pxen8gPOX40uNdXbobdoo2s1W3W3TWt9fpe12um7N8l9BVyeatG6bpU2UUdFy/b0/7x1u2mfqQ07d16n+scT+f6GNblFnSsKMwfm+40O03th7OXbdvQnvH1fm4ZS9C38ZGde08W70WPzQV1qoLee36e3TdRZDqp8TCLGJmBwAAFI2HHQAAUDQedgAAQNHy6mgfmdkb13ah2pXOUTh148FWaD+y+/1jHxt++zZ7Q/sW1mNOxOGSiwGvy/dLliZP5S6YxaWKOct3ifeWRpee+y0iGjVLWvdc7pfmOaw3q/d8tXknvlDHrm/nLN8d2PYkJ3chlcOjfSztveya1rGP7ct+u+VuqLoNyr6Mq5bd6B9r3ppvP0uNa7N0zs4An7NTt10EEDGzAwAAisbDDgAAKFpeGKtjZp+79k3pc5qdg9C+33zUP35ut0OfX6Lrl6GbmS2vxkqer+ZlKaOX2gW9pSenlqLXTYkSuirZgh3YXbeE3NPpfbXjdodel0Hnl7M/3Xwd+g7XZVyvu+PaMNac/oMzzvS+f62GrVKlzPUzuV4uIg3X3rLn/eMd2eW8JyVB9lxYa9s2Qp8PY11ZfxP6jjalcvi6O9ZxrSGvXd/ISTWgxAKY2QEAAIXjYQcAABSNhx0AAFC0vJydAzP7o2v7UL2kOKy041L05R9VuTeaD/HU3u8f33ZxYzOz3za/F9/YV+BPLWM8qZ2UyitILbslH6E0i72u3Xv1rN/eX63+/muNkDgwkMPjcx3u2p9D3wuXq/Z0I5ZmGCirv+6O68Z5oNuepJaX15VjmBRKNVxEC92e3XnxqvoHd2gP47m6JYTP2Xlqd0PfplVbB61vtkLfS83ZydkuIuSmTXLsMj5nATM7AACgaDzsAACAovGwAwAAipYX6Dy0sEWEPXbHt+Tcj2Lz7suX/eOnN2N58aarrXNVaiBoKfKvfRxXv31Wzg7lxnGyuY7ZgqsntdBzcfx7EtO/+zg0fc7OnyWXYcPlMui2KM8+lC/xG3eck5vWrtsCYtTcBn3dtHIbyJ84M22LddOa1eHN37Tjud//KjT9tiiag/nC/cfgceNe6Ht5J14Ttu7ycDZjV979uy5XDbOOmR0AAFA0HnYAAEDRxtsuwr+6Ked+Hptz7txbP43Ly33Jcl16rmEsWz+ujjelTH5qen9gk/PUtCdToDOtbTGM1JQ+571eXIp+/1413e9LKpjFbVIe2f3Qt6DbR2y6peh1O0f7drsubJUTrvWvTYWUBi6uxLk5W7HUbTuReq+cUhKnfV1hUvdzSUu42YgD/97DKnz72GKoyi9T96FbMzNbkn2FNt1Nui5cG3Yo0fu38n/jumsgNV5RCmZ2AABA0XjYAQAAReNhBwAAFG28pec+l0Gq3ZuEZu16dXj7zdeh695KFf/VXIYNi2X1Q8x3XYK66/KZqVLkuznxf8yUjpn9fkifhvflCrp7rRrbD64/Cn1+uwgd18ure6H9ym8fsS6fmcxtqCupMJ/oyzGtJeKp9835vpPK5yk4h2fPzH7u2n4nB0m1UZsfVSfcbcZtUXwOj+ZcvvdB3Hbi6zuuRkldKRE/7lvj5KJhFjGzAwAAisbDDgAAKBoPOwAAoGhZOTvH+2aHP6/aCz5PR3N0fiLtN9XhUgzb2tqDKq6rMd5564X2ksttaGtQNxXzHcjZ0ToNqboN+sanrT+CS0nr7DTcsQ6FN7G5sFEdr19vhb5lq8buXYt5DhvNmCTx6s6dqqFl9OvqkcRvlGjrD6PXwL6dr2nlYeTk8xRck+fQLOz04PIq7ZWcK0NlpXnUP77/93ErCb9dxK+kbprWUft61eXs3LFofeAbO5PaBgWzgpkdAABQNB52AABA0bLm/ro9s5duenPeVcrf0Kn030nbL2t8GLtuPaimNjWMpeXGfWjg2ebN+Eapn2agLzVlzzLGmbZvZr92bT+9/1LO1XCtG/f37/0hdH2x8p3+8R+lxP6mLEX//R1Xnn9eLq7UktwBqfBsXdl8358T0srZPuKimaGl5wdm9kfX9hkDD+TcFWm74bvZiffoq80qXHvDbQVkZtaQtIQwluvCs2Hped092o977udgZgcAABSOhx0AAFA0HnYAAEDRsnJ2Omb2uWtfc+HXDV2q+DrxRn+MzeWfDs8HWJQ17WEpek3p/tCu/UmvDjk2G4z5pvJ7Co7xzwpdkuuPNZdBxrLPZVh6GrvWHlZJbk07CH3rktsQSixs1myL4se25jm0cy6KnDy2bqJPr4HUxXcW+Tzj5BCNk+9xwbel6JiZXzXuUyB/Ledqzs4vXdenR6Hr3oNq+5979jj06Ti3TZebtiSDV3N4kvfwVG6aopTILGJmBwAAFI2HHQAAUDQedgAAQNHytouwGO32JUeeyBYQH2qM1+c2/DB2LXeq/IRbzfhGty22F32uw7p8hrazEKvFW0dHZntuG4gdd3z7upws4z7kQEg9qY8fftE//p19N/RpLsPyapUv016Xz0ilHAzk7KS2ixgnX8Z/6KTe56zkfOZlqhGUZ69r9i9u/N535XKuyjha3oht+8QdxzI7tvygGruLkpvmt0wxM1tdr+qq7WrOjv6Z1m1EdX/vnPwzXFbM7AAAgKLxsAMAAIqWNYd8YGaPXPsDd/wnOfe2lNVf8FOdMvW/8qpauti8FZea79haaOs0aJCz67nNSdtPXzJ1Oct2j8z+2YWu/Ircq7LU/NpdebEfvjLO/ZS+hq0Gpvsb1Th/qeNal+Qmt4tQ/s3qdjlPLVO/4MuqJ2acZfMX+56iaQm/dlU9PmnHc5e1tMjv3fHfxa4Nt/WJbv9z12I9ho2V6j8Mu+vvxTfKqhiwLO2ckgGTCsniImNmBwAAFI2HHQAAUDQedgAAQNGyl577yLPP07kp5y7o0nOfw6PLd50NWceoMd+Qs1NXTty3d6XPjqWdiqmfx/JYXBR+nHdjSpn99PPYDttJyLm+xMJGM45zzUXz18GTJVnDPpB/lupLLT0vSU6e0KRyisZZ0nz+NAfzY3e834vnmuTwBLK1xNoPq5Mb1+MbNSy2d3ouJ7Nuqbm/3w/k81y8nChcLMzsAACAovGwAwAAipa99NxP6d93xzpJ+1qqal77e9eQPj/dr0vNddfzrjVqv+do/E+gyxi1TO6kqtDiIuqa2fMhfRquHeCHikz9r/zR7Q4tkSkN3wapsJX2150b5CwnV6mwjF4TqSXYqZDSOKGf1GsJeZi9/S08l/Y7+hf8UEqJ2Bsb6mCp+n9oTUPo2GJorzWq/pd1Y3di2QQ6NrTkAkrEzA4AACgaDzsAAKBoPOwAAICiZUVB5y3mLDxyx/9eztVdc0P+ggaEXQn+xr24NPHAmqHd9GX19X1SP01tLoN/cWJLiloXu0Q86h1ZjOKnsj/2pIz+sh+TsTJ+yE3TJbiNVO6Xjl1tp3Z1GJD6aVLL1CeV11CXh3MWS7RzPmOcaziVf3T+94auxYogPo3stZy7LSllGz5nJ1FKpCk5lzcGtklx/anSIWqsVMnz/93j7DGzAwAAisbDDgAAKBoPOwAAoGhZOTsa4/X5O1Ix3H6g20V4WqPh7um/Q6jTsCRbPrTmYtv/dLUx3u6QY30jlE7rSV11x7fl3AUdGj5FISOXQYUcHh3nJuM8q7ZOykUf5wN7BCT6hp2Xa5xcm6v1p5z4vmdTI2jRzD5wbZ+pWDvOE7fL5TeunlRMubSO/EPP/910SwrdDshv+ZP6PgOohQZmdgAAQOF42AEAAEUba97aT3V+KH3HMiUZJt43Yt+hi4ftyNzlnkwFh6Xnu4mwlVmc9hzYtVdeS8lw/IVO719zx9+Sc5/I0vMHfjcTHY+3hn/mvCxFD9P7XRmrOr2fNUufE9v152poZVI7eqe+Q12s4rShq5zbXN3vZFqlJc5/ewsfutUw1jUdu34Myg7pc+5eq9v/HMh2ET2//Y+GY3el7ftrx7z/nV308CzOAjM7AACgaDzsAACAovGwAwAAipYVzGxYzF/wUdGPG/HcOV167vN0JM9h5/rwtbP7thzae9IONC8nGbbXLSH8T6NLRl9Km3LjJTu2OHT8X/sPcu7fp8a5jrkX7lhyIHRcr9lO1dD8hLEqI/gX143z0yYD1V0POUlFqR8m5wcdNU8jZ03zOMvSp7YXwqnNWfwJ/L39vp6sZRT8vVbu/c/uXnddui1KbO/0XE5P6v59UvtMsP1PKZjZAQAAReNhBwAAFI2HHQAAULSswPYVi1H+T9zxS6m1sPGpvPjhkGOLeTlal6ErAeHnPtlhSz4jFdMd6EudrLFZ/TX5OC6lyEuj49yn4WidneXUtigyNNoPqmMd5yr06xAbqBmVY37I8Tjqcldmpc5JTg5Pzv1nOnkjSxbv4a9TJ+vuJn6Ln4+Gv0zHecvWQ3utUeWmvdS6OnU5PMGov2vMCmZ2AABA0XjYAQAARcuaX75qZhqdeucDnc7flrafSbwXu/yy212Z9tR20JK2Tnv69sBMZmqquG7N42mnksdZmorzsmBxuwjvtiyzHbiCmkOOhU7v67YoPV3Pm/rMxA7Ug/aHHNdJhaZKDhNkba8tUuGnnFvvdO4bc/ItfEjrQ90e4oG0fRhLxrkPVen2EGr7jQsS14VrR97ZfFbCqEhhZgcAABSNhx0AAFA0HnYAAEDRsoKZqwtm//G9IZ0a4/22tH1Oz0bseuoCwH+UhJ5vZKliz3/luhivb7ekbyBfIRUXT+X3qGEbDeCyaFosl++zaa7qziZ3pf3R8L7WSlVGvyO5DLotSsjZSY1rszjkapel6xYRXup2kJN/dhFy1VLX6EX4PvodTrstxeS++4KZfejaa/4ereM6lbOzGrt8DuZzux36tuTmv7u17hryGfor0f6krEQ2zABmdgAAQNF42AEAAEXjYQcAABQtrwDBgsVYrY+hakxX2y6X4U8Pboaup/a+e8tYf+RAijh8/f+5N6qL6SbzFzT2vZ/o03i7P/cixIMvQo5EORpmdtOlzGz4/LObcrLmNvj+67FLa+l4WkY/5KqNVX/kWNqp2jrnMZZTuTUX0aj1hequydO+7+Su9YWrZre/5/7hjTvWcS55lj5H8+X3YyLbC9f5XJI5dZxb1/3cuv1PS9ph3O9Jp/4eDhN9ObiXloKZHQAAUDQedgAAQNHGq6P9E3es0/na/ml1qMsRv7SP+8dfhUW/Zts6f7rkpuVbc7FPp0FDWEun81NG3R7ivFz073e5zC+YbfgSCz4cpSUWHkrbDe3DH8Yuv0XE7+x7oW9Plp7vvnHh3LrpfT/Os3ZEn1bYKmc85ixhz3mf1GvPI+w7rc8c432vmpkfo37puYRgB8a5yybQVAN/f9e+F3Lvty13D68LzybHds5YntSWH7hMmNkBAABF42EHAAAUjYcdAABQtLycnWUz+7Fr+ziulAy378fmm43quappndC34ZISmnYQ+p73JMb7xMV463IZQluX3Na1U3wc9yIsPU+5aGXzL4GmxbHtl+HqElxtu5ILO9fjktzHbiuUjuQyqN2Wy9mpy8PJytM5j/yUUY2Th5Nj1GtEb58XIQcqw5IN5uK886m0JQfzzcPqfv5byT/7wr7TP34kOZhPn8sbPXHHLflMbYdfr96vX0s7535+mVBmZFTM7AAAgKLxsAMAAIrGww4AAChaXs7Oupn9L67ty4tLXYY3fxufox417/ePf+aL7liss6Px34P2Ynzj3SHHZvXbRyRPzjn3MsVJL9N3vSBWzezvXNunmGmdnZ9I2+Xw+HFtZtayG/3jF/JGPp/n7cku30fHcUva3SHHJ/6Db6dK7I9jnPdZGHJ8GeX8HnK2iBj1M0TTzPxWKNfc8Ufx1GNp+/u5jt1t2+wfa021o9T9PKee1EBOTur3N04u1UW7f16073N5MLMDAACKxsMOAAAoWl4Y64rFkuJ+eaIsf/2i+Z3Q9lP4X8j0vl+eqLvk7v78vdC2Z+GFUXIJbt1S88NEXw7/PuMsE5zUa5n2zDZvcbm5X57bkXNXYvPZ96t4rm4B4cf5lqxZH9gNuuXfVD5Tx3k70Ze1y7mOOb+cNzWOJhW2uggmeb2M+rOlwi51y/Ezvv81s+P/uWrOPa2On/0w5iXo+PTpBl9avNf7sNbAdj/P5Pv6sa1jN5mGoEvNVWrXc21f9PIhmARmdgAAQNF42AEAAEXjYQcAABQtK2fnzdqS/d9/X+Xb3LLn/eMDKX//QpYc/sIl+OzI3hJbbqliT79Satmtxnhb0g79dcvHfX9eKtNw48T/z+u1sDUz+0+u7YeGpCB8/SCOZZ+Xo0tyfT6aXh/Pt2VblFSJBW37cV6bfjBq7o3mhuwn+nLGX85nnoWzKsc/6jYUk/udHDXM9laq/999+sNqK4ensj/Evl0NbT+2v5ItIfw18ORPUlLhSWyG5eZ1JRZsL3yjKGcpOmYRMzsAAKBoPOwAAICiZcVr5sysYb1++5Hb4lkrwmrlTD/V+Sv7Qej7Ra8Kcb38+QfxQ3XZrW9rxU09N0wV70lfaul53RToRZsiZSfcSTpeMmu75eZNt9x862YMWw2Gqqpxr+P8zy40oNfH4bNroR3Gcku+oLazluimxm5qmfp5jKmcXc+n9ZnTkrpmc5aej253btX+z+aP++2OS0XQJeMa1vLjXq+BUFbh0VLoG7hH+7CW3s+zyihMqxo4SsHMDgAAKBoPOwAAoGg87AAAgKJl5ezs29WwhNwvpb1rfw7nDuTluNdpPHintVY1NP8gFeOtW5Ib8hV2tFOcxW7Q03LRv9/l0r7StN+uVNs8769U2z50BkosxFy1f3Pj/Km9H/p8ns6LN7J9uuYr5CzJDf11eS77Q45PctrctLMaf2eRwzOt/LdJvc/kvl/blsLWPU23F4pu6aPbRfh7+J8ln+fZH1wOj45rXXru83LqtkUJ9/NUzqVZHLsXLccS54GZHQAAUDQedgAAQNF42AEAAEXL2y7Clu0zq+oyrLlkgX+xn4RzO7YY2j1r9I+/kfjv4S9djZEv5ENb0k7lMgyEZv0/aL0RbU8jpk4uzWX0Njftr07s09yFVNvXoTIz+8K+0z/e/c178Y01l8HnL9Tl7ITcBh1z2zbcZctNm5Tz+Dnrcm3OPj/qwBbD1g57VuWm6bh+LrlpfruTL7Zjfo89cT+r5uG0pJ2qs5P8HWkOJnk5SGNmBwAAFI2HHQAAULSsMFbP5q1lN/ptH7pak2lFXbr49FW1DLf9xc34xn76siUf+kjafkpfzx1rWj61VDFninRWQgHlOrDFgRL47+zYWmjreX4pui49397erBoteeOcJbnJ4Vm3nLyufxj90LMY53Whn/PYMd3/HnJunzm/r9Su55OjpUS6LtVg34W0zAa3i3j+qhrnh09kq5PfuGNNS3gk7VS4Npl6oL/P1FL0nJAh9+9SMbMDAACKxsMOAAAoGg87AACgaHPHx8enP3lu9djM59vMZXxU6nNO/x1G/4yzOheXS8uOj/fCQN5cnzu+f8f9g/9fgoYF3Wa8Bjq25I7j1hJ+ae8bWwl9b7qxfbzrPuiNfOU9aXeGHJtZXhl9bfeGHJvFa0KvD66Xi+eEcX5j7vj+B+4ffK+M88P5+A/7drV/vOeOzczarq3jvN2OuUBhLGvOjqbh+Dy2gbSbA2mnxrmOZd9/JH3HiT5cPIPj/J2sBOW3Dzr/2bVzkgBTiV+TSsAbNSF5ku+Ly+UfBv7l/h2zz/6L+wf/zHI9nvvyYXyg+Z19t3+sSfo/tx/1j39mPw19P9uO7cN/ckmf/5d8wZ9L+4shx2Zm9jzRfil9WpPH92tdE39NnEfyMvKcMM4/MPvsf3f/4IbysYzzpzfjP/i9D//VjWvt++8yzn/927+Jb/yZO64b5z7xeUsfqP8k7dQ4T7VTic6jJvfj7AyO83cIYwEAgKJlzuzM2ehLOlOVhf3XOKtKmKnlnfyf6Uybszg8/PFSPHX5TdyaubFSTZE3ZCzvyXLeU1ut6R/5kqlbkktV2qLNWZy1dH/ubkNPjnxF/KaEkOZdmOiqxlyXZMzNj/rfk7oUimmUHpjcjvM4e8zsAACAovGwAwAAipYZxjq2OHU3jQTlnOqh40wjpt6X6cqZdmxxePip/lfx1N6t+P8LDTeFr1Vol92UfkNWhDSX4jKqQx+6GiuapNdTaizruZm3B1wux3bC6r23Fob8+zuLA6ufKn4V4oGsSLSujKnUCquxhmNqnI+6kIX/DlxmzOwAAICi8bADAACKxsMOAAAo2hkuPT/t18hJUJhUztA456I4uvTcVzD+KJ7aaS6Gtl9urnk5LVvvH/ekRG2nLbkNvppsXN2eSQuhpa4ZlprPlCtmocCxL9p9Pf5/sJZNOLBq3OtY9u2OxesjSco65FVCyKkUnvPfjdR/IvnvxGXCzA4AACgaDzsAAKBoPOwAAICiFVZIgxgqJkDL6N8cfup8L+bl7DTW+sc+R8cs5vBonkNjPuYVHKbydDQFIZnTM6maUTn1enApzFnI0zl2OTN7zeE5Omaxlk5Ha+k4PR037cQ2DzqOkzk6uhGojvNh+72YTW/DaFxkzOwAAICi8bADAACKNsEwlk4NjrpEPWe7CDWpKXu2i5hlx0tm7YdVe+llddyWkNZWYyO0d214GGvH9elS3vbWjfjGfruI3dg13lL0HKnlux7Xx2V0NG/2ZqP6/91G96h/vBMGYBy7ZmZ7dvXEY21ruHZgGKVKLIy19PzUL8zAOL/MmNkBAABF42EHAAAUjYcdAABQtAnm7NTl6Pj+acU+J/W+xGZRObxWHbdWroc+zWVI8efqUl7blSW5I6cZ6JJcNan8BZbkXna9uYa1mtV4bjSr0gj7klOm49z37yb6dnpyfWj+2cjDqO6Fuk0KZh0zOwAAoGg87AAAgKIVVkEZGF/vyhXbWXFT8W4Zru5kfiDVY7+y+/3jriy7Xba9/vGWbaa/xBN3XLcENyzZ1Qq1e9L2l7y+EeHbWdKzRghP+WXiWhpB276sgo5zf26vK0vPdXm5b9dVBs8quTBq6ROUipkdAABQNB52AABA0XjYAQAARSssZycVpyUfAadzZFdCyXu/lFZzF57brdD2525LXk5Yet6RpefK5ye0En1mkutQN85ZMo63enbl1Dk7uvXJN67dsrjViS+rsLcb3yc5duty05LjXJeaHw45Pgn/bZgFzOwAAICi8bADAACKxsMOAAAoWmbOzlzGS1K5AdPKrcl5rf4c5DLgra7Nh3ybpnX6x5rLoGX1fc2RntQf8fk9A/VHtIz+/JDjk7/wiJ16vXANzJKezQ/k4ryj20P4HDazWF/K16HS1x62dVsUG95uSV8yZ2ec7SD0jRcSfSgFMzsAAKBoPOwAAICiTXDp+TjTf5Na+qfhsdT7Ml2Jk70NY230236LCJ32f263Qzvs+CyhgJ673HZbshv0M/kSqen9ZNn8nGW2lNSfZW9LLFTj1S8Z17Gry8uHlWZ42+faraX0l8hZep4l58U5y9RxWTGzAwAAisbDDgAAKBoPOwAAoGgjLD33cX4f3xxnfeyw9zzpfSeVa8PSc5xMcxl8fkJPxo0uL/c5PT7vR99ngObh+LYOzdS5AyfrOPfX2t7w72Nm5DKU7SixXUTd0nOfw6PlGHZ67rU6HFNLz+vGeTBOgg9jeRYxswMAAIrGww4AACgaDzsAAKBoY9bZydn2YdSPynmfnLgtOToYzucvzLs6O1pTpGOxHH7M9UlsLbEr9Ue0HMnE6o9oWX3yFfDWkV2xfZeL0wlbQMScHR33qZo8B36LCM3R0Tyc7in7aqX+u6BjXv+7Nc7WE7gsmNkBAABF42EHAAAULTO2dMUstXw20PP8VKF+bKpP5UzDp5a0AydLbRexJcvJB5foVtP9/nVmMUwwML3fknZq6XlS3TifRvg2Z5sWXBQ9a4TxezVRimBgefmQJetmZp22G+fJ5eM2RrhWx1hOuJbxOYuY2QEAAEXjYQcAABSNhx0AAFC0EXJ2rrl2qty8xvH9R6WCsZPMKUi9F9tFYDjNtzmtZXdNaC7DQcctyR2z6MPopvHB5EBcRnN2HMa53wJCx25D7o/LtVuNDJFzmx1rqKbKomAWMbMDAACKxsMOAAAoGg87AACgaJlR0YZZqCuyNuxEGwzOHib69hJ9qdwara2gcdpuoo88A5zs2ObCNhA9NwZ7Mh535Rrwr9tL1aTSOjva9kM3tZVENnLTUBmWm1aXs+ZrRml+TzBOamTy3JycHMY8mNkBAACF42EHAAAULTOMtWBmt4f01e0c6/tTO5nr++RsLZEKgTGVidNpWNfW3f4N+2En8xiaWpd9HnwZ/TWJTTXmXWhAh+6qtFNDN3nVnseSW0LEJfDLy/2u5nUW7SC0m0ud/nHtSEiN5az/OqXG/bnVecAFwswOAAAoGg87AACgaDzsAACAoo2Qs/OBa/tkAo3OppaevzzhfU86NqvPBTrtueTs4LTmZLl5tbT2huTo+HwepXkPi40ql2FgObnm7LTdsZ6r7aAuS4L8Bbx1xY6sadWYjDk7zXBuU/JyfK7aC7sV+haX3Ll1uWndRN/Uhuqo/40hN+0yY2YHAAAUjYcdAABQNB52AABA0TKjolfMhuYoHEtbc2R8XFRjn367CM3nyfmKqbycuvdhawm8dcWObNmNyXX7pn/cshvh3Kth7Jqt2c7QvmV/DazK9bI0F9vr7vgL+YITK6OfI7UVCy6jhvVC7k3X5abptii6JcSWbfSPV92YN6vJTavL4Umde/pOYAAzOwAAoGg87AAAgKLlzQXOmYUViX6Kclem4bs67e3buht06mvsJPpUampd+9haAidbsAO7Z4/7bb8FhE7v35Cx7M/VZep/Nj+93wl91pX5ft/clC/45MSvPUTqOsQsa1gvhF19GGu+ZtdzH8ZalqXbMVwrL9T20pDjk9qBjmP9b4hvM+bBzA4AACgcDzsAAKBoPOwAAICi5eXsNM3sY9fedcfrcm5b2v7cXY2hbtjp+WXgqS0pUq8zG/zRWV6Ok/m8hkWLuTY+R8fMbNO2+8cb7tgsLkW/eSf2vVz9ILST+QqpsvpdzYdTfpxfkz7Nj/PXaU6OG6UbLoN569ote3Fin47rriw933T37G1JKvOlGhY2X4e+w1UZc34s1y1TT3ZOKi+HEgulYmYHAAAUjYcdAABQtLww1qKZfTjk1amwlZnZVqKv5d/nZsYXqgtj+Xbd9GQ30ce0/CxZtMOw9NxXj92TCuKpSrMaxvLVatcaMWT0cl2+hH/buul9/9qt1BJcsziWNWxFVdpZsmgdu29f9dv7bmw3JVyrFZT9uRry2nYhrvWNVuj7WsNY6+44tSxd2+26pec5YS3CtbOAmR0AAFA0HnYAAEDReNgBAABFG2/puac5O1vSXk30+W+xJdtOtHVZuo+T7kufxkx9f10uA/kKeGuh27M7L15V/+BC9e3rL8O5ByuLod1ySQh+Ca6Z2V3784nnmZn9ITbTuQypnaJNrp/asvqpcycl9b7kOZyX+cNju/nU3bjnq+P1661w7mLzILR9Xo7mpvn2ptzsv77zUfwSftV6ztYS7bocHd+fsz0RSsXMDgAAKBoPOwAAoGg87AAAgKLlBS+vmtkPXdvXy9ESBHek7c99JH2pHIQn+g++ToPm82gOjz9XcwNSdXb010LJ8Jmya2b/7Nqu9NPS7Xjqd9//fWh3r1f1SLZlfPptJ5oWcyAGyupvurGb2jrCLJ0PN5Cv4HMb6i7/+SHHZvF6yrleyNG5MDpmrsxOsHLrKLTv3Y034r2Valx1rBn6Htu9/rHfIsXM7Mr6m9A+WlqpGjl1dmpz01LOIjetbpznnItJYGYHAAAUjYcdAABQtPHCWJ5On+tS9EfuWKcnf+OOU9W69X2kTHmINwy82bL0acjLf1Dd1hJMQRbtwMyeurYfyzJ2F6T6/d3r1fLyx/Y89N127VvatxHbT+64N46bSmcuRZ+WUa+BSYYQUtvBpL4TS+HNzGzPzD5zbX8LlFvp0qexffeH1Tj/s90NfRvuPwa+3IKZ2aPNB6H9ctOFsdbl+2k7Oc7H2S5iGuHaus+f1NidofE6JmZ2AABA0XjYAQAAReNhBwAAFC0rZ+fKcteWf/R1v91pV0sOe91GOPdoayW0Q/z1kbyxD31qXFbDon4J+5bm4WjbL7uti+mmtpbATDkwsz+6tj/uyLmvYvO9N9UA/fjhl6HPL8ndlBL7ukQ3XAd1OTp+uGo+XFvHub8mcraSOA+aj6DfN5UXMWpezgzlROjSc3/L1vvuH2PzvZVqnN9/8Cj0PXU5PH7Mm5ltNGJy58vVD6pGXW6aH9sD6TNaYiE1zi+CVM7bWeSfzdA4/wtmdgAAQNF42AEAAEXjYQcAABQtK0i/dKVt3135bb+9v1LlyHQt5uzs3I41cJ6tu1oMq5JYkCqH35L27pBjM7P2LfkHnwfxWvo0xrs/5NiM7SNmjNYf8bs+6FhtStvlPVx9GPNw1tyA3ZCcHb+VxNvPOa6OV6U0/rp8ZiqXIXmJp7aS0HZqe5W6zxz1ejmLsv6qLn8ide4lc2ixnpT/M23LufondNfExoNt6aramps2MM7vuCJWSzX/XUjlsbVGratjFv/Geu8/i5pqdd991OtgnLFbXi05ZnYAAEDReNgBAABFywpjNa1jH1u1nHbR7dy8I/OKLyxuD33jg1b/+Iulj0PfYdeVxtdtJrTdSvQ90p1wfS3/l9KXWnabWpauZm8JX/F6FqOe/viNnNuQtjv3o0++Dl13b1YxgxcWQ65rEpNdvVMt0d1dfS9+Rmo3aO3b1XIMfpzrWNV26vaQep+Uix4SHud6vmT3gn0z+4Vr+7EjJRUGwka/rw7fuxvH7u17w7dF0e0jvtxsVR+5eif9mVnh2tQWEJMKj170sZxSN1Yv+NgdATM7AACgaDzsAACAovGwAwAAipaVs3PV9u3TEOSttGQ9rMZmH9n9qrERuuzXH/+garQl6aAlH+SrjevSc43x7vqcnVQ5cW3L8kjMlkOzkGrQc8eyC4r9UtquwsKclNjfuFkN3kZ4U7N79ji0f7H0adVI5S5of6qMg5nFLVU0bq/5PaktVHxMvy7+f9rcH6U5EKkciZxbWep9te+slr+ffY7E0YHZ3uOT+5YfyD/IWA67QDyNXRv3quXmN+QGrkvP15tV/6s7krOzLp+ZHOear7kw5PgkqXzNUfNwLls+zzjj/HLk9zCzAwAAisbDDgAAKBoPOwAAoGhZOTsr9sZ+aj/rt3uuyMiWbYZzv7TvhHbTOkPft/tB9T6f7/517HwiJ993xy3peybtXR+HvCadqbwczefRmCQ5PSU7PDR77nIZ/F//Qx1GN6XtcyAexi5fOl9zFxoS019rVP0v1+UzNIcnVVJkwFnE1yeVj1L3w2Tdvk75usuWazG6wyOz51o36i/uSx7OnORZhnH+Uey626lefKv5IvSty0172W/pkxrX2q790/sxWFdnJ2frE29SuWlnJZXjljPOL2ftKWZ2AABA0XjYAQAARcvcLqJt37Ev+u2ee7kunb0r6xF/ZT+w09j+OIbDXrY+iCe03PG6vHhT2n6ZelfjD8+l7Zfd1oWpUktVcdl1zOxz1/aRqtdfxXOvxV1R4nYSskPJVTdlr9dH0229Yma26MO+qel8s8wV2Knp/dS5qd2gS74GxlnSfrF3ju6Yubt5DN4vy9i9rbdLv51EjFTZyquj/nHzVkxfCGEri1sODSwnl5XoIcxV+2dJLSfXF/ufPGfbhIsTojmdSZWAGGc39fPDzA4AACgaDzsAAKBoPOwAAICi5eXsdLr27c91ffdbh7die/16K7S1PL635/JlvmjEJesv78gb33HxQs3RWZe2j/G21qRTl5dfJpctVny59CxmbYUMLqmg8IO2vNin4siy3hsvq5NXb8a8sFuSQ+aXqX+e2h5C21m5DDl9Oe95Hjk841wTk8pBSP0eprXtxOi6FjMXU3+1q5qr9u3EC92416Xmi5KbFvpX5WLSrYM87Rr41V+83/fZm1YJiNRIubi/d2Z2AABA0XjYAQAARcubt94zs5+7drM6XJCKmx98Etcudm5V2+Ye2GLo23bboP/AfhX7PpSl6B+6pegaxtLp/XV33ErtimsWw1p1FTd1Ge6wc6cVXiJsNU2HFgt333fHGvw8/jy253zUVZbrzrkluss34xjSpee+Ormtyt97ScajjntvYAY6NQWdMz2dE6o6j6ntUT9Tr61xQgEXu0TFnA0vLqDFNw716/ul5xrKrSKwtvggjuvbclH4yvpLq3FZentJYlVLQ45PlFVuOSGnxELq3p8zjkY9N2fZ/OxhZgcAABSNhx0AAFA0HnYAAEDR8oKZb8zcpudxI3F9p1ex+e2/rZasb9+KyTZ+B+i79ufQd7sRY7wvNxM5O9pOxnVTS88nlWNQ9z6XOaZa7vL3hsWh7Uvq6ybnG7K8/FpiuwjbrQ5DTo4NltEPpRq6cnGlxnXtFe3HfV0Z/YuwU/NZm+S49lkwF+966ZjZI9dObZpwTfPCfAkG3TndDRsd1zru/VL0+XkpT6Lj3LdztlAZkLovp3LTJrkEO+e/Mac9N+c99S+sP0vOte/f6+KN83eY2QEAAEXjYQcAABSNhx0AAFC0vKD8vpn92rVdnR37tpwr5cXto+rw05Vfhq7tlarOzpYk3rxvsYDPVx/e7x+3VyWDIlVGX+O/7VSdHZWqu6OxzosTo5yucn9OHeY+f+eRnPvj6/IPPn9Bh40bg5q7kLQke1R0ZTD7z6mtPzLshXXO4+9dlyOR+v6pfIpJ5V7U/U5ytqRJ5T3kfObpHVnMKvLH9+Xc55KD+aEfvroTkBuuuk2QbhfRcL/7hubs5JSEGri/J14LGxxjObk2qYQp/cOk3vds83uY2QEAAEXjYQcAABQtP4z1C9f2s46P5dy/k7ab7l/aiF3fWfmyf/xv9mnouyG75jaXqmnQdt12Eany4u1p7P5sdjbbRYzjon+/8zdvcYm5D2PJ0LXXMr1/zYVr7Z6c7K4Bnd5XfjfogTL6uzKY/ZT9WLsSpJbd5vSpUZfvqpzrctRzJ7kNxnnsvH56VywG2oaNebMTNsjxkVUNGbn0hkWTEKw4cCf3uhLaTW2DovfzgT9bzu9zGv8tGGdcp8K1k7pextn6Iucz68JaZ4eZHQAAUDQedgAAQNF42AEAAEXLCkgeH5kdvq7ar135+w0N8v5a2ivu+EHsWrs3fLuIVbeVhJnZerPVP361eie+UVa1+7pS+ZNwEbeLIE8n1213rKPkquYO+KXnmq7Q9l2LoWvPloe2D9rN0JfMTasto5+K/4+ay5CTR1B37llsUTGpZelKf3+pvIdx8ikmY86G36GeSPtbesItd6yJbC+qw11bS34H3U4iSC0fr11anrrPjZo3UnfvnFQ+zbTySUc1ySXio943xsfMDgAAKBoPOwAAoGg87AAAgKJlBQB3e2b/7OqK+Mjd30mdnWV9Z1+P5EXsuv2y6ly7GXN0NIfH1x/5g6TsyE4T6VyGZCn3ulLaXirGf9nzY2azJs+CxTwdn56gqWkLsmOJ3XXHEpJuu75ezaW378bnUTvm9wyEurPq7KRq3qTouQOVVzJeOymTqgWSc27O1hI53+ns7xtaT8offyDnfqjbovj7uf5K3Lmai3YguWrf2Hr1NlpnR6W2RUmO+0nlnNS9z1nko5ztFguT/w7n999HZnYAAEDReNgBAABFy5pfPrC467NfVPiLN/Hcn0oZ/bAL+o9il5+9vG3PQ9++hJv8Lrk2fywfMhebyTCWWhhyfBL/ZjlLHC9bKOiyfd/JWLA4je8nXmv3sfYhJVmSu+SuicZKnObekSW6ujt0kNrxORXiMrP4N80p5T6pEvZ1ckJTp91Bue46zPnMnJ971PdV07kOdZz7bzsQrtV/8OHaFelLhLF0nHu9rvwO9Ffix/KuZUj9vc3OZgn0pEK5kxoLdd9n1G1TLt44f4eZHQAAUDQedgAAQNF42AEAAEXLztn5k2v7/IXbcu6x5PDM+bb0Lbil6Fevx/Lht2Sd+nJqyWuqjL4uVcyKHaZiianY5mzmvFx2V+fM/sqtkD10f+KbugT3lrSvD+/7w933+sfbUieh5ZbgDrRbkmOgQ9fnL9SW0U/F11PjNWfp+bSW+qrDIcfjqPvuqaX74+R+nHZJ++TuKQ2LuTmhxIKuAte8nI0hx2Z27N5Il5p3LG594ksw9HTpueblpH5FyV/9eSwDn2S5hWltb5Ey6nYmdd/17Mf5O8zsAACAovGwAwAAisbDDgAAKNpYgcXX7viR9D18Gdu3fTi2M/w9DySm28iJt6Z+moG+uZPO+ou67SJOWyr/stfZSSn3Z+semz13Y/ThQ9ep20M8lPYDdyw5O7uuxoiO657FfIVQn0TzzVrS9rkNtZeLv2rr6o2k3mxadXZy6lalYvyp3IFxxu6kcjFyahqlXjf6dbdoZvdd+5Yb23Mfycn3Em25Jr65WQ1YrbOzLQk+vn3UksSgnBydgXPPonbOOPe81N9/WvfSUXNicn6XZ5U7l4+ZHQAAUDQedgAAQNGy5mSPLU4mXR1ybBYny83Mbvuwliw9H2g7+zINuuhiYFdW4zL1I10fmZxp160mRlXyrucp5f5szUWzh76Ovh9Wd+VkDTG5/mMJBXRdqOpX9oPQp0vPQ1n9LfkMbWfN2PsrNWfn8klNZedMT+csuR11ea6+dpLLdf3vbFph39Hfd2HB7PZ77h98OEqXmuu49yUWJJTr79kvBmozRCHMpUvNU+3a7SJSZQlSu5XnGOdvmtrO5LSvq3vtONfEtJzFzvAnY2YHAAAUjYcdAABQNB52AABA0bKClVcsRvy7Q47NzO5rWX3/SU3pc3kPHSkvnnLUlnNTyxFrlyb6L3j+8fTJfU65S8SnZsnMPnHtVC7DJ9J2eTo71+Pv3ucyaC7aN5Kz0+u5peh1OTo+f6FlNTSbzpvWsupJ5eWchbrvPt2S9m+NszVHhqtm9qMhfaltUMzMPh3et+WWk+vS85CLpu26nJ3arVC8nHyQaeSO5Gx1Ms77jpoDk3ON5myLMqk8psljZgcAABSNhx0AAFA0HnYAAEDRxsrZue2OP5Bz9yW+uuDLi0vOzrGLD89bL/Rp/RHNdUjK+ulScchULHHU101S6nMuYo7OeZRKz3DVzH7o2r7Cvf65P5W2O/dpIxYn+a19r+qTwiW7msvQSuQy5OzqkFVPalK5C+OMx/PI4UnlPeR8H33tqLVUcr7DGNfLgg3m5rzzQNrflva16vDlrVhs6s9ubG/J9hA67lvb61VDc3K0vZvoG+B/L1kXzITU1cMZtT5OTv5MyiTvs5PaemK6/11gZgcAABSNhx0AAFC0rEBP02JlcL+IVTd/vqZLFb3bsdlxYa3n0nlVll2GpYxd+foTKy9e57Shq2ktP7zsLvjPvWhhCXmYedc/vZTRf/n9akr/C/tO6Hvstop+LvEDXXp++MTFCVLT+fqdBoamLluexnYmOaGpnHL348hZkjutXZ2nsfN63e8v4/s1LYarfMRJ79+y6/mhu+E/kpiXH+fbthn6NC3h0Idrn8hnaskFP+4H/mSpLSHqfiejXgfjXD+TCnGOapIlSUa9vnNSQMb/vszsAACAovGwAwAAisbDDgAAKFpWzs6cvOBv3PGaltG/m2hL38FSFY/rWSP0aYw3tLfm4hulchsGftJUCfY6qV/bWZSTx1RdN7P/wbXfuGNZqnscV93ar+wH/WMtk+DzdLRs/ouOJLL5sftMvl8r0R5YkptaDq3XQCrvIfW+kywRn5O/kLoOz2J5scr5PqOW559grsVVi6UT/K03rhi39o9i+/HKh9WxJPT4vMtHdj/06f083MNb8v10LHcTfQO/h7MoCZLztyjpvwU5y98nNc7Hx8wOAAAoGg87AACgaFlhrNUrZn/nSijvuOn9ZQ1baQVO3y8hr51GNaWvu+S+kLhBCHPVVdH0/QNLz3V6bT/Rp85jihxn5WjR7M1H1f8HrGwf9Y9f3o1xK11a66f0/8V+MvRcnfp/tbUev0TLHesS3FRYK2vpuU4Vp0K7k1pmm3Nu3VT2eVTCTZnUrtNnVJVddz13/zV4cyv+f3CruR7avhLyU3s/9PmxreHax89lDXvLHes9uiXtZCmRVEg2J4Q4TjgsZwn2WYS1plXmYdQqyGbnMs7/gpkdAABQNB52AABA0XjYAQAARcvb9bxhtnyzai/78Kvuiqv7R7gcnsPvx66v3PJEXaqoMd/Wm3XXkM/QdnKpYio/YZxdclM5ByUtPyzXwdyiPW5WeQhP71b5CbfteTjX72RuZvZz+3f9Y80/83kOB9YMffZE1rD7vJyWfMHUktyBXc5Ty8lf28UzqbyCnO0iUkbNrVHnsdw5rdOct98/2DyxT3PRdCz/zr7bP34c9laJ41y3TDlqScLmI3esuWktaSe3/NG/RSoHc9T7+zjbTuTkz0wq12ZaW7GkXLxx/g4zOwAAoGg87AAAgKLxsAMAAIqWlbNjSxZzcXyF+5tyrubwuPbT6++FLh8f3pY65VvS3n3mYsk5ZfRrjbN9hMd2EZdd25ZCLs6eVcWlvpQchG+k/H3Dev1jraXjX/vkt5LUpvkKvq05Oq2BL5yQU2dHc3imUcemLhafc82kchJG/e45n59TNv/i5e+17WrY3mTejV3NldT78Jf2cf/4qez/4+vubG9LTtCjgS9RaUmf5uiEtuampcbuRayLdh51dkY1qfpROe9FnR0AAIAsPOwAAICi5YWxVs3sP7r2NXesYSsJa/nl5jq976c9t2TJo+4cPbDTuZc17ZlTGn+cqfbzQChtHB1rhpCTX3Y7UApBwlh+Sv8XYUtps+fbLu7bkg/VkKwPY+m5yXG+I506zlNLck+7y3nduSnjjMfUFHnOUt669z3tZ06S//2mwmOT+/y2LdnvXLh20Q76xzrOdduercTWJy9cfsPhk2uhb2CcPwlvGrWknRzn6nDI8Ultb1LjXN8n9Z/acUK701pefhZh4LPFzA4AACgaDzsAAKBoPOwAAICizR0fay5L4uS5ua/N7A/T+zrAmfvW8fFxqIXAOEeBGOeYBQPj/J2shx0AAIDLhjAWAAAoGg87AACgaDzsAACAovGwAwAAisbDDgAAKBoPOwAAoGg87AAAgKLxsAMAAIrGww4AACja/w+PHvIB2bjAFQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(tf_clean_data_test[3*i+j,:,0], tf_clean_data_test[3*i+j,:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_gudhi_pc.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.imshow(np.flip(np.reshape(clean_PI_test[3*i+j], [50,50]), 0), cmap='jet')\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_gudhi_pi.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.imshow(np.flip(np.reshape(clean_PI_prediction[3*i+j], [50,50]), 0), cmap='jet')\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_ripsnet_pi.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "id": "490db24c", + "metadata": {}, + "source": [ + "Pretty good actually! Let's look at the test set now." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "055986cc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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eR0Ss3HxRtQ/mrtmZdVxEq47tRdAHMzsAQNcMdgCArg1KYx3sR3xZLFVcL6b3b++nm/MW4uWS3f+qu+7fG8915un8vIX4rWJ6/5ubaXq/NbWZ+/ZaS3K5ygbFeV52W07ppzi/e2+8zPbNxfl6+oE45wcvI+Lzot1KY+Vkzu0iVbWVUlVVhjYtWc/Ly8vU1XrsVn0bN+v2s7XiOWilrSbavusxswMAdM5gBwDomsEOANC1QcnLvYj4Q9G+VdQvfJrqE25vpl8uly7m5YhFHjfndG+m5Yi3lstahvQerVqGiX9pazlia2kivUu76Mf6kDgvtsrPcd7aGv/84jwT5/zgIKI6tOTLaTe+xnvFMSlb+ZiJZ1OuI2Ij1+UU7dV4WfVdX63bzZ0QlOUwg5kdAKBrBjsAQNeGLT2PiEdFu1zUupKW5P5DnhNtLUd8tnNyvbFZL3LcSIser0fxRkN20Zz4l55lnrOc/s+LMsu+w+DyyUtyxXmEOO/PUdQh+nzajVE/A5F+L75LnfvT+67nVFXRzn3LOa5a6dpmmOd07dB+emBmBwDomsEOANA1gx0AoGuDa3bKkoRbxXUqT4jd9IONxnLElSKvu7E5fWliRFqeOGTL8Il/6dKQm7lCxDlXwXHU1Vatc+xzVVZ171Hq3Jv+i7kOp2znvmsTLwzzM7MDAHTNYAcA6JrBDgDQtUFJ+6OI+HZKX/75i726vVG2U1+5L8PkXgt13rbaf8SW4ZwDcc5VsBSnD518X7UzzXLj5hlvcFTccCSQOUdmdgCArhnsAABdO9O84cGU64iIw7xqcM5VhHl6H960ueN8QOguLM7fSiYgv6njIy6D5Yi4XbSHHBdRtfPWCKtTriPiZfrBUZEDO0r5sP38y8KKMzCzAwB0zWAHAOiawQ4A0LWl4+Pj09+8tHEcMTq/TwNv3HYcH+9WZyqIc/ojzrkKJuP8lYHljKOI+Mezfx64MP7pNT8bhTinL+Kcq+B1cf4DaSwAoGsGOwBA1wx2AICuGewAAF0z2AEAumawAwB0zWAHAOiawQ4A0DWDHQCgawY7AEDXDHYAgK4Z7AAAXTPYAQC6ZrADAHTNYAcA6JrBDgDQNYMdAKBrBjsAQNcMdgCArhnsAABdM9gBALpmsAMAdO3a2/4AALwNSxGx8obf8+ANvx/8wMwOANA1gx0AoGsGOwBA19TsAPCGtGqE1PNwfszsAABdM9gBALpmsAMAdE3NDsCVtBSL+RNwuIDXiJis51HDw+KY2QEAumawAwB0beAc5lm2FzclCdCfIX9GhqS8pLVYHDM7AEDXDHYAgK4Z7AAAXXuDS89PW+sjLwtw/s5Sg9nS+g5v/cmZVc/jqAnmZ2YHAOiawQ4A0DWDHQCgaxfwuIhZOWS5Wc5bq5ZB/NGLRR0XcRbl85Q/iz15WBwzOwBA1wx2AICuzXFcxHlMe55lurJk6pLzdpaluuKTi+S8lp635O/68v3z83GWZepQM7MDAHTNYAcA6JrBDgDQtTlqdubN8Z7XFuIlyw+5yNSbcZFchKXnQwxZpt6qBeIqMrMDAHTNYAcA6JrBDgDQtQuyz05pkXstyNsyj0XFuf2juMhyDea8MX+WvXNaz8iiXlctJ2Z2AIDOGewAAF17g0vPF2XeU3JNZXJaQ+LclgpcVu9ExHrRXlQaq3SWk8xb73OWZ8LzdBWZ2QEAumawAwB0zWAHAOjaG1x6Xv7ekLzteS1rlLdlmlact+Jxlla92az3ab2n2GUe70TE7QW8zpC6tRzXZf+LAe855Dk8S50QvTCzAwB0zWAHAOiawQ4A0LWBBTh5X4Yh5t0jYci9rRoeeVtOq7XPznnVy5wldh2LwjzOa5+dMgbP8rycpbazNKtuyPNzFZjZAQC6ZrADAHRtjqXni0hjtT5Ga0p0qCFHS5jK5JUhWywscjv8kmNROG/LEXGraM97FFCOsTI+83Ly1nOV+/Lvzvu3xwnpmNkBADpnsAMAdM1gBwDo2sCaneU4/fbirbqCt7FEXN6W0xqyxcKbqP1yLArnYTki7hTteY8+ycpam/wc5TqclUZf63XnXSYf4Rm4mszsAABdM9gBALp2jmmsrJw6bE1lzppinPeU3NbngdKQLRbm3bl1UVsq5PexUzindS0itlJ7Hjnmyu/l3de8Z6s9r9bfglnPROv5sSVJL8zsAABdM9gBALpmsAMAdG1gwvRa1EsVW1pbiLeWI86qw2l95LPU8JRaedsIudvenWWLhdMe8zBra/whHIvCPM5Sg9myPuU6YjLOv53zPXJcD6mdyzwHV4GZHQCgawY7AEDXDHYAgK7Nsc/OtO3FWzU6ub+1z06uj8ntIbUN8+69oO7hahtSy9CK+xx/Q2Jl3hqeIe+hFu1KeyciNor2tSnXr3M45ToiYq+Iq8McY7mGZ959dobE6ln2nnKMUC/M7AAAXTPYAQC6NsfS862Zd/3gOLVb0/vfnrJvlkUtRzQ9ebW1tlgYkq5tpUPzlHjeVr+0qC0V8mfgSluJiAdFe624HpLG2kt9O1OuIyJ2ctyfdiuTbNZ3dOs59P1+FZnZAQC6ZrADAHTNYAcA6Nqwmp3WUsWJcpmlur3XWl5eLkecd/vwCMsRWYxrEXF/St+smp2y9ibX2iyq9mbeLRUi2g+tWL5SViLi/aJ9HjU726lvol38nTgcUr8zqz5zvdE373e/erfLzMwOANA1gx0AoGsGOwBA14bV7FyPOsfbkvO4Zbu598KsvO2ithe39wLTnOW4iLJWYMieUfPGdX6fWa8jzvm7/H1+s7geUrMz8X0+5TUj6rqg/D5PU53nRA1Pa6+2W6nd2mdnUd/9atwuEzM7AEDXDHYAgK4NT2M9nNI3a3Vfawvx7eJ6YiqzdTzFrDc9mHJ9mt89LcsRu7Mck7Pir7ROeI5IpzznF2kdK/38lB/udR+idQT1EK2l6Kbou7Ma9fd5mXLK6aZsb8p1RPo+T32tNFb2JP0tqJ6nfLxKK518lu9+cd8LMzsAQNcMdgCArhnsAABdG1azk3O8rZ3nh2wh3tqmPOd891o1PDm/WrbPUt8zhDqHSy9vo19qbakQkWrTWvVnedlqSytWs1kxp8aMv1uNiE+K9qi4PsvS8/I7e9bS82mv+br20/Ksovx3IC9Fb20B0VqKnp+f1nOqxu0yMbMDAHTNYAcA6JrBDgDQteE1O2WOd0jNzvaU64h2zU72pHzPvKV/zs22thfPb1TmW2fVNcjHdi3XppVaNTq5vZ36ylqGvdMeRxHRrkXL7fXUNyvuW9T3dG0tIj4r2qOyb8Z3XLm/VKtm50nqO0vNTnXkUN7DqvW3ID8TrX13FrX/GheNmR0AoGsGOwBA14alsdYj4ldT+oaksVpTm0OWPD7JywLzKbnlVGae5mxNV85KGwxZjsilk9O15X/SWWms7eI6L7utTnjOr5Pjc8i2CUOm4ec9WsIJz71ZWjuM1c++OWmPNrdPrlfjZfN39+P6yfXOd3VKaefpaNy4meImf7+3wnHItg7NNFZO5bZSu0OWpbf+MVw0ZnYAgK4Z7AAAXTPYAQC6NrBm5zjiVzmR+neHy3V7J+Vqt4vrUfrdsrZhSM3ORF3QRvpBmcdtbSceEbFbXOf6hHmXI6pzuJTyktxmzKX20ynXEe3SgEepvVfWn+V4a8XybuprPVC5T3xeJavL+/HJ5n+etEdFMG9MxFFtP1ZPrp/fqIvTvrpx/+T6y5v3q76Da6m2plWz09rWYaJWLi9F/7a4zt/1re0Z8rNV8n1+mZnZAQC6ZrADAHRtUBrr+spevP/eeNpzuZh3PEovtZumCrefjU6u90ZpifiQXTWrXTRTX24fllOb36bO1g7KreWHuW0qsztnSWOV2yq0lp5nOc4fFUtrD/MUfU4xlFPvOZWbX3hRJzxz2a3Ffvwi/njSLtNY6zPSWC+LNNZ2qkuoXmerfp3P46OqfVDugj/r2dpu9bWWoufv/hzn1xp9tmrohZkdAKBrBjsAQNcMdgCArg2q2VmPvfhl/OtJu1Wz8zzqOoOvN7dOrh/frJf3fXPtvXFjyJbh242+iIgnZf1C3k4853HLGqNZ24uX1Dn0ZmnjMFZ/M95G/+hwHNsHO2nZ6tP0339UXA+p2WnF+dPWlgoR7aWzufai/LxnOeG5fB31CJfRWuzFz+PfT9qj+N+T61vxvPm7Zc3O09iq+kYxXm4+cexEfWv86eEvxo3tVLy5HdPbeVuH/KxVp6LPWnp+2npNWzVcZmZ2AICuGewAAF0z2AEAujaoZmctXqSanaOT66Ooj4vINTtfxb2T643luo7gL78Yv87fDj+s33RIzU5ul3ndib1KhuRt7b1wlawt78fPN8e1DGVs727V9TNfP6iLEJ6Niu3x1/LeH4VZW+O39pPaa9Wf5bjO9T5lTc+s/aTEZ8/WYq/aZ2er+MK8NRF0tRdFnN1L++z8qPgivh77VV/+O/HivXF8Ptr+tH6TXJdT7mF1N/Xle3fKZy8/AznO1WteBWZ2AICuGewAAF0709LzcoqyXIoYMZnGqrcir6cGy3TYy0+uV33Pdh7UH6KcrnxSdzWnNmcu3y2XWra2E89M/fdmPaVry6n3iS0VVus01uOPx3H0aO2D9MrF0tpWeja3t1PfoxyfZSznJcOtlOys09RN0/csp7HuxZcn17PSWOVxQPm4iHLZevndHtH+O7H9sH6dnSc/rt+0/L5/lD7QKLXLew/PsvR8UVs18LaZ2QEAumawAwB0zWAHAOjawJqdF/Hr+P1Je7Wo2dlPudicxy1rdlYbyxF3V+vamt8/rGskvn9yY9zINTu5XX6EvDSxuYV47su1DOX/bGp0erOWatNaNTtfFlvjR0TcLOsV3qvrFf56+PG4sZPqYbbTh3g65fp17b1W7Lbas2p0TluTYEuFy2g19uLnRc3OncdFIdk3r/mF0o1xTc/9e3+rujZuTF+uvZuWgZd/J57eqOvf/vQg1ezcnXIdMXlcRNnenrXtSPl93qpTOwvPyNtmZgcA6JrBDgDQNYMdAKBrw2p2jvbi18/+MP7loiRhvy7Zie0bm1W73nuhrgU4bO1jcr/O4z56v9hSPO+10MrjrqW+vSF529beC/Ym6U2uTStrdnIt2lZ8XbU3oj4KpbT/0/EeUk+2f1Z3tupyZtXsPCnrIFp7iOT2rOMi1Kb17Nrecdz5t6JO589F57N081FqF6WTa+/WXZ98Ov5ifnmn3jdt4vs9xt/vj6N+oS/erwuH9h7cGTdG6fPkdlWzk49taT0T9ljrlZkdAKBrBjsAQNcGpbGWdiNWflf8oFhBvpbSWA/u1/Ogtz4qtrFP974oliN+nXJR5WnpERGP3x9PdX5/90bV15zazEsTJ9JYZXvWqeetPqmqy249duPX8S8n7XKL+9YxKBH1tgoTJzwXcZ63xt97cqdqV9sotLZUmOiftfS8la5tnfBMd15EFNnaiP8qrr+a8bvlV2+dyY2l4ivw49/8uer73xujqv0/Rerq3Xhc9d3dfFi1H90tnpEhS88nzPvdL211mZnZAQC6ZrADAHTNYAcA6Nqgmp14ERG/K9rlqQ+pDieV2sSNne9Prj/+7X9UfWUdRN5+/3H8pGpv3R8niP/2INXstPK4OYf7tLUccdaW4cP+Z+NyWd0/jJ/9pSiEKWL7u636/x/cWn1eta83jlAp4/zpZtoa//1Us1NuqzBKH7BVn7BzO3Xmff9bNQitGh5bKnRnLyL+VLTL61SH01p6Ht9Of4u19BX9wW++qNpfxAcn13kbh9x+dPeTcWOUvr9H+Y2nXEdE7A1ZXj6EZ+QiM7MDAHTNYAcA6JrBDgDQteE1O/+vaBc7jU/kRdMW4mXO987Nvarr4Wd/ObnOW4Z/Hg+r9v348uT6b3c/rN9jFNPb+fNNmHefnWzIFvvl69qz4cLYjYh/LtpF6c2N+99Xt/7i07/Wv1uU3rS2xs+1aV+8/0HV3mvtKTJK7apmZ1Y9QmufnazsV3PQnf04fc3OfmqXpwHtpb5ye6m6NC3e/ehvVfv+5nhDn/K7/Ydfrc9FWRmN6+MORqk2rVXHNvOooNMeF2FfqsvMzA4A0DWDHQCga8PTWH8o2t8V12mJ4cSpuaU0A/nuB+Nlvvdv1FOZ99LUZrk9/zt3v6v6vh+lD9Faet5cjjjk1HNbiHdnN+otFsoV5Ck9u5Sm8D/+zTittb05qvq+KlJX5ZLbiIi7m2mZbeuE50Fb42+kdit1ZUuFK+Vl1EdEjKsJ4uv6azcO09LzO0UaayVnOMt4TM/Lyv/U7fub4zfKS81/lI5iGW2N23+7mf6I5O/z1tLzZmp3yDPgqKDLxMwOANA1gx0AoGsGOwBA14Yl6fcijouanRfFcsT1dFzEUl1OU79TOkpirdhB/N5ndbL4bsrjljU7t0b1Vv3PbjZqdlo53YiIvXnztnTnRUT8vmiXsZJPX0i1DCtFCD787edVX1mnk2vRcnvurfFz6B6eZen5vM9Bfl11bBfSy4govnu/fDy+/jzdmv8L3ilqMj9NfSvlsvSPUufjurn12fj7fZRqdG5G/f2+EbtlZ6Sba61nIlpHBWVDth3hIjOzAwB0zWAHAOiawQ4A0LVBSfn9o4j/KGoWvi36bqcanYeNWoa0xUiVx7372fQandy+tZprdh7Ur9vaa2HiX97aZ2fWvjvT2IfhUtqLiH8r2mU9Wmv/qIhqD6kHH9Y3/+TeONDvx1dVX47zQVvjN2t2WrE861iUcjt8+0n15vgw4qAIw8+Lvkfp3nwwQvnNu56eiY/K0K7DfOIYilv741fK3+cb6V2bNTut7/dBf+XsQ9UrMzsAQNcMdgCArg1LY0U91VmlsfLNaWrz01NObY72t6uuPLV5q5hAXS+nNSOGTe9P/MsXtWW4k3Avu4P9iC+LE6DLbRVu59Of05YL1fb4/1V33b83Dvx8onPeGr/cVuGbs2yNP3HCs6l4fnB4FPFN8T1d7qqQv6Jz0rJMyN9JfR+V3/057ZvaN559f3K9ca/+Pt9I3+/X4+W4Mev7vLn0PHsby8vL95QSfhPM7AAAXTPYAQC6ZrADAHRtUAL/ICL+u2iX1SnP0725UuCToi5nKedxi2RxmcONiLh1r37l1dgvrl9Wfc3lhzOXnuctxJs3z2liXfCCXpdF2o+IomQn1os6nU9THc7tzbpdbYefCh/K5eWztsa/tVzW7KT3aNXsNGvRItpbLKjnuUq+j6iqYr6dch3R/qbK9+4W25Bs5GODcs1b0b6evs9zu/zuj7Xj+nWuNb6/B4X1rO0YuKzM7AAAXTPYAQC6NmiC7yjqKcty4v1WujentZ4X05l5t+XYK67TNGdravN6vnnm8vJT9nGlvYx6i4UyJbuSQu4f6sPK69RVOiF99Gzn5PrW5vQtFSLSsttW2iq3FxrX5RR+3lKh7JOOvazK/3IHU36e+3J/vvew2Tm9vZw6J9tpW/7SkO9+riQzOwBA1wx2AICuGewAAF0blNn8PurMfZnHzRn9dJBDvChqHSa23C/be3XXwvK2cric0kHUpTdlPVoqw4nd9IONxlb5K0Wt2upmXlbbWHY7q2anGed5Sa6HgrEyAlam/DxismanWQ45Z1gdpVedbC/P98IQZnYAgM4Z7AAAXTPYAQC6Nii7uhTTd97Im2pPbERfpltz6rVsp0+U87ZNtvtgAfJ+UqX88xepxmyjbKe+1tb4uRatqlVTWsM5eCciNor27SnXEZPf5+XeU3mPtfXVorGaOnO9WdGfa3KaNTqHqRZt1n4+XHlmdgCArhnsAABdGzRB/k5Mnmb+Sv75RLucvhyw3X1ranNmiqu1bTmc0sGU64iIw7wTwtGU6xmaWyoM8VZSXvlNPWyXwcpyxL3NcftOsY1CTtfmuC/TXHdS31LxmrGZOm+k1y3aL+N61Zfb+2XOa0jaalA4it1emdkBALpmsAMAdM1gBwDo2tLx8fHpb17aOI4Ynd+ngTduO46Pd6t1rOKc/ohzroLJOH9lYDnjKCL+8eyfBy6Mf3rNz0YhzumLOOcqeF2c/0AaCwDomsEOANA1gx0AoGsGOwBA1wx2AICuGewAAF0z2AEAumawAwB0zWAHAOiawQ4A0DWDHQCgawY7AEDXDHYAgK4Z7AAAXTPYAQC6ZrADAHTNYAcA6JrBDgDQNYMdAKBrBjsAQNcMdgCArhnsAABdM9gBALpmsAMAdM1gBwDomsEOANA1gx0AoGsGOwBA1wx2AICuGewAAF0z2AEAumawAwB0zWAHAOiawQ4A0DWDHQCgawY7AEDXDHYAgK5de9sfAIC3YSkiVs7hdQ/O4TXhbMzsAABdM9gBALpmsAMAdG1gzU4rxytPSy/EOcyvVQfk+eHtMLMDAHTNYAcA6NoCl56fZQmjqU0uC3FOL5ZiMX8CDgfcK8XF22FmBwDomsEOANA1gx0AoGsX5LgIeVyuAnFOj1p/Rs5Sz+OZYHHM7AAAXTPYAQC6ZrADAHRtjuMi3va+DPK4nDdxzlXQOhblLMrYnfUctZ4RzwSLY2YHAOiawQ4A0LUFnnqetaYcz7JU0fJdzps45yrI6doy5s4rxvLrlu8/5JnwDDCMmR0AoGsGOwBA1wx2AICuLXDpec63DlnSaKkiF4k45yp4JyLWp/SdJT7PS/mengGGMbMDAHTNYAcA6JrBDgDQtQXus3NeOVT7MvCmiXOuglbNTtaqVTtL7A6pw2m9rhoe2szsAABdM9gBALp2jqee5/sWtVSxtXzXcl0W4U3E+ZBpeHHOeViK+dNYpfP6rs+GPBNSu9TM7AAAXTPYAQC6ZrADAHRtYM3OeS1VnFdraeLrPkNJbQPTvIk4HxJ/4pzz8E5EbMz5u6etn5kVq0OWqU97/1k8A5jZAQA6Z7ADAHRtjqXn571U8SxTjGfZyRNeEedcBcsRcWvO323F8ovi+k0tS888B9TM7AAAXTPYAQC6ZrADAHRtYM3OckTcPuW9OWc67/b3Z2F7cebRivNZsSrOuSyuRcSdU97b+j5vxdiL1LfIWrUWJ6RTM7MDAHTNYAcA6JrBDgDQtXOs2cl50DJvOiSPmz9i/t3Tsr04pyXOuQqWI2LrlPfm2CjbOVavTbl+3b3zmvU6YpmamR0AoGsGOwBA1wamsVpLFVvT+bm/tTw2T63vNj7PoqZE82fgajuvOC/jVZzztq1ExL1T3pvj5sWU64g6lp+/5j0X4SxxbDuGq8jMDgDQNYMdAKBrBjsAQNfmqNm5P6Uv5zpby25z35tYjjgrx2t7cV7Jcd767z1vnOdahiHEOQuwFBGrS6e7dy/HRtm+lfqeT7kvIuLb073fa7Xq4TK1adTM7AAAXTPYAQC6ZrADAHTtDR4X0dqXoZXHHfgRp77nrNdRn8Ar4pwrYCUiHhTtVjlXbu8U13up7mevfHbWX/Om8xpSOzfkeWrt8+Z56YWZHQCgawY7AEDXhs2dL8fkKsNX8jRnXqp4WLbz1GbrlNwhS3Rbc6+2F+eUWnG+l9qH4pxL6npEPDzlvTnud6ZcR0Rsl9c5LTTtGJbXaR3NMivPtqhngl6Y2QEAumawAwB0zWAHAOjasJqdlYh4f0pfzuk2c7y5zmErvUlLmcfNudic47W9OHPIcd5K/4tzLqvVqGt2WkvPW3G+nfrWprxmRMTTVg1Pq0Ynt1vPQH7jeZehR6hb64eZHQCgawY7AEDXDHYAgK4Nq9nJOd5WLUPee6GV431aXO+ddpv+15mVxy3lfU3OktelK+L878R511Yj4pOiPaRmZ7u4fpr6WjU7WVXDk/fgaR3F0uqLGLYnD1eBmR0AoGsGOwBA14anscppz3I2sLU0MaKe9lxLfeWnyFOiO3m6v7Ukd8hUZt7Kf9rvzeKU3O50FeetR1ycX2nrEfGrKX2z0rXbxfUo9d0srofshLC9kTrzM9FKY+Xv89Z2DFK5V5GZHQCgawY7AEDXDHYAgK6drWan1FqaGFHXKNxMfbm2oTSxBPJOo7NVy7Cb+lr/9NynPuFKOUvNzoWL81zLUC5FF+dX2lpEfFa0rx2Prw+X6ntbcf7kNa87TWsV+MSRQ3kp+osp1xGTcV72z3p+Tkvd2mVmZgcA6JrBDgDQtWFprLxUsTUFuZ3a5VRnnt4f8ikeFdOrh7dSZ57CL6cr87LG1hLdPD3ZOqHa0sTutOK8tQQ3ol6GOyTOcxg9Eeecr5W1/bj/iz+dtJfj6OT6KJare5/v1zH47Olo3BilvNWgdG1xnZ+tRymVVi1F/zb15dgt01qz4lxsXwVmdgCArhnsAABdM9gBALo2qGZnaeMwVn/zzUn76HD86wc7aenf05QXHRXXrVqGWaftlnndp7O2Fy+X2ealibnuofy8Zzklt3wdSxMvo6X1o7j2q3FNwNHhuH7h+50Uc9uprqCsTZu3diG3xTnnYD1exC/jX0/aZc3Oflyv7t1ZrWt2nr539+T68c2fVH1714ol40PiPNfsTNTHlZ+h9QxE1HVsuUZn3uMj1PZcZmZ2AICuGewAAF0z2AEAujaoZmdteT9+vvnvJ+1yL4bnW3VOd/vBqGo/G90vXijvn1AYUrOTc7p7OY9b7sWQtwjPdRBl/6ycrhqFnq1e24tPtv540i7jfPd+HTfb+6Oq3YzzeWvTxDnnYC32Tl2z8zzq7/evYhznG5t1Xdjnn41fZ+fwx/WbNmswU992bpfPU65Ny+1rU64jJmt45j0+gsvEzA4A0DWDHQCga4PSWHmpYpXGStOcX69uVe3HH4+XBj5a+yC9crFGd9ap0q3p/Ud5erKc7s9LE1tTm7NOybWtfs/W0/R+K863V0dVuxnnh404H5LGEucswJCl59vxo6r9oyLHdD326xe+Mb784yerVdfBTkrBPp1y/bp2uWVJfp34JrXLtNasNFXrmTjt70VI+15sZnYAgK4Z7AAAXTPYAQC6Nmzp+YBahi+LpYkRP+SHX1l+76jq++vhx+PGTsqDbqcPMSTHu1fmbWctVWzleHNu9rR5XTndy2g9XsSv4/cn7bJ+YSfF+dO4W7VPHed74py3K8d5u2ZnVLW/iHE92vV4OfU9drfqrQ/+/PCX9Q1PiuXkT+qu9GjVcZ//TkzE+cqU64j2lgu2X+iVmR0AoGsGOwBA1wx2AICuDd5np8zxvizyurlmZyu+rtobMd5SfDnVAuz/dPw6T7Z/Vr9pq15hVi3DkzJf3Mrp5vasbfTLtpxub4bE+eN4t2qXcZ6Jcy6S9eMX8ev9ombn8PuT65drddw8Xa73TbtVbP50LeratPJ5yfvzbD8cVe1vHr03bjxKHzC3b0ZDqzbNcRGY2QEAOmewAwB0bWAaazd+Hf9y0n4Z463A89LEUVpLu1psKV4uWY+IeFGczJynOfee3Kk/RLk8MU9zjlK7Wso45JRc05xX2Vni/Hozzscxd6Y4n3s6P0Kc88o7uxE3fjdOXZVHlqzdqNOWt+/X68I3PpgeK7vF9/n/puflq+V7VfubB0UaKy81z+3ypfIz0Dw+YtbS87LfkSm9MrMDAHTNYAcA6JrBDgDQtUE1O6v7h/GzvxS523EpQ3y39UV172h1u2rXW5GvVn3lct4vN+tjJv78fqplKOsXck4353HL9s6sWobWktxWbYOcbm9WXx7Gz74o4rwovfn2/uPq3tHydtUu4/woxVEZ50836+CdiPPPi+tW7UKEOGc+uxHxu6Jd1OzEjXRvvcNCPNh7dnJ99Ol/VH1lXVs+NugnUT8/X7w/PnZi58GP6zcZ1c0qzidqdlp1ObPivNUntnthZgcA6JrBDgDQNYMdAKBrg2p2Yjci/rloF6U3N+5/X936i0//Wv9uUZKwm+oIvo7xVuR5+/3H7/+kau/dLV5oUC3DRupsbY3fyunmfjnd7jTi/Pa9ev+RWz87pzh/IM45Z7sR8X+Ldnnqw2q695vULsLhvRt159N3/3Jy/TjquP48HlbtrRvjY4V27g6o2VmLGVamXL/OsD+DXE5mdgCArhnsAABdG57G+l3RLqc609LEpb26/fFvxtP925ujqu+rYnniF/FB1Xd382HVflRO79cv0156PiFP97emOk1zXimtOK93u4+l7+r2wuL87oA4b07pi3Om2IuIf0vtV/LS8xTnlc26+e67/3NyfT++qvrux5dVeyuenlz/9e5x/UKjpbrdWno+Ycip54tSvu7B1Lt4O8zsAABdM9gBALpmsAMAdG1Ykv5FRPy+aJe1Anlp4lHdXClywA9/+3nVV9Yv3JvI6X5dtR/d/WTcyDndUfoM5efL/9LDsyzJnVd+XXndCykvyS3rA1LNTivOP/htfYTKsDj/dNwYpffM7fLziXNOay8i/jBuHuyPr1dup3v3U7tRx/bjT3fGXe+243wU2+P3HD2v+g5upg/RWnqe23utpeetGp7W8yKOLzMzOwBA1wx2AICuGewAAF0bVrOT92Uo87bPZvxukX598GF980/uPT65zvsylPswRNR53YNRI6cbMaNmJ+dxW3nbVs433yuve+m14jztJzXxn7/YHue9D+tCtkFxfvfbk2txznnYP4z4UxGGL4q+O+n7/P1Um1btrfNh6huHedx9d3qNTkTErRh/n2/c3K36nuWanbUp1xGv+UvWil2uIjM7AEDXDHYAgK4Nmt872I/48k/j9np5GnRraWJEPf3/X3XX/XvjudQ8nf+jPO1ZpLG+aU1z5vbE0sT19ANTnfwgx/mtYjn5Ro7zvK1+uQz3o7rr7r3xlL44523bj4jPi3aZxso7iaw8rtv3yzivM7JVu5W2+qE9Xqa+vprTWOl1W+naibBubatwXlsucJGZ2QEAumawAwB0zWAHAOjaoAT+fkQUpQyxXtQvfJrqcG5v1u1yOWLO8ZZ53ZzjvZlzvMtlLUN6j1Ytw8x/6ZDtxenZRJx/N76eGeflMtwU5+VW+W8uzlvLy8X5VXYQEf9dtF9MuY6IuJXa98sV5V+nzmLZ+q39FNerdXsjdovr9K5D4rwZurNqdMT9VWBmBwDomsEOANC1QfN3L6Neqlgual1JS3L/oT7stp7ST+saR8/Gyw83NuupzDy1eb08fnfWybeDpveHKKdF84Rv2Xd4hvfgbclxXi78vnxxfhbivGeHUYdo/i9cep7aB+MNvmPlu9RZtDe++77qur5aP0BlnC/nOGqlqmamsaSmqJnZAQC6ZrADAHTNYAcA6Nqw4yKiLkkolyPm7cV30w82ylN004m6Zc53Y7PeMrxcmhgRsRovx42ZJ9+2+pYaN8j3XmU5zstahnRww7nFeVXDMyvOm6Erznm946jPri+vc/1Obh8U5TW5ji2KE9KXJspw8vHpjb4LF555CbtatcvEzA4A0DWDHQCgawY7AEDXBmVFjyLi2yl9+ecv9ur2RtlOfeWWItfLmpyIWE553Gr/kVl7LVy4nC+XwUWI82rPEXHNVaQkhgUyswMAdM1gBwDo2pkmxKctW4yIOMwrDI+mXM+Qp/fn9lam/vObmpe9jMT50DcV55fBO1Ef+VPKP59orxaN1dRZtA9S32EsV+2jInZy38WTn34uEzM7AEDXDHYAgK4Z7AAAXVs6Pj4+/c1LS3+LiL+e38eBN+6nx8fHPy5/IM7pkDjnKpiI81cGDXYAAC4baSwAoGsGOwBA1wx2AICuGewAAF0z2AEAumawAwB0zWAHAOiawQ4A0DWDHQCga/8fBqpF2frujN0AAAAASUVORK5CYII=\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(tf_noisy_data_test[3*i+j,:,0], tf_noisy_data_test[3*i+j,:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('noisy_gudhi_pc.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.imshow(np.flip(np.reshape(noisy_PI_test[3*i+j], [50,50]), 0), cmap='jet')\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + " #plt.colorbar()\n", + "plt.savefig('noisy_gudhi_pi.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.imshow(np.flip(np.reshape(noisy_PI_prediction[3*i+j], [50,50]), 0), cmap='jet')\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + " #plt.colorbar()\n", + "plt.savefig('noisy_ripsnet_pi.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "id": "a1355662", + "metadata": {}, + "source": [ + "Yep, even though Gudhi now produces bad images because of the ambiant noise, RipsNet predictions still look rather good. Another way to quantify this is to see the difference between classifiers predicting the number of circles that are trained either from Gudhi or from RipsNet predictions. Let's first see how an XGBoost model performs when using Gudhi descriptors." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "6c39c91a", + "metadata": {}, + "outputs": [], + "source": [ + "from xgboost import XGBClassifier" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "a6823b51", + "metadata": {}, + "outputs": [], + "source": [ + "model_classif_gudhi = XGBClassifier(eval_metric='logloss', use_label_encoder=False)\n", + "model_classif_gudhi.fit(PI_train, label_classif_train)\n", + "clean_test_acc_gudhi = model_classif_gudhi.score(clean_PI_test, clean_label_classif_test)\n", + "noisy_test_acc_gudhi = model_classif_gudhi.score(noisy_PI_test, noisy_label_classif_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "383c3e4a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy on clean test set = 1.0\n", + "Accuracy on noisy test set = 0.3333333333333333\n" + ] + } + ], + "source": [ + "print(\"Accuracy on clean test set = \" + str(clean_test_acc_gudhi))\n", + "print(\"Accuracy on noisy test set = \" + str(noisy_test_acc_gudhi))" + ] + }, + { + "cell_type": "markdown", + "id": "18d14586", + "metadata": {}, + "source": [ + "Well, the classifier definitely does well on clean data but struggles on noisy data. Let's see how another classifier trained on RipsNet descriptors now performs." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "1bf469d5", + "metadata": {}, + "outputs": [], + "source": [ + "model_classif_RN = XGBClassifier(eval_metric='logloss', use_label_encoder=False)\n", + "model_classif_RN.fit(train_PI_prediction, label_classif_train)\n", + "clean_test_acc_RN = model_classif_RN.score(clean_PI_prediction, clean_label_classif_test)\n", + "noisy_test_acc_RN = model_classif_RN.score(noisy_PI_prediction, noisy_label_classif_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "9991e9a6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy on clean test set = 0.79\n", + "Accuracy on noisy test set = 0.78\n" + ] + } + ], + "source": [ + "print(\"Accuracy on clean test set = \" + str(clean_test_acc_RN))\n", + "print(\"Accuracy on noisy test set = \" + str(noisy_test_acc_RN))" + ] + }, + { + "cell_type": "markdown", + "id": "59c9e7ef", + "metadata": {}, + "source": [ + "Well, even though the accuracy is slightly worse on clean data, it does remarkably well when noise is added! This illustrates the robustness of RipsNet-based topological descriptors." + ] + }, + { + "cell_type": "markdown", + "id": "be9ef919", + "metadata": {}, + "source": [ + "Now, let's play the same game with persistence landscapes, using the same architecture (except for the dimension of the final layer of course). In the three following cells, we define RipsNet, train it on landscapes, and use it to predict persistence landscapes from the data." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "fb26cca7", + "metadata": {}, + "outputs": [], + "source": [ + "callback = tf.keras.callbacks.EarlyStopping(monitor='val_loss', min_delta=1e-5, \n", + " patience=200, verbose=0, mode='auto', baseline=None, \n", + " restore_best_weights=False)\n", + "optim = tf.keras.optimizers.Adamax(learning_rate=5e-4)\n", + "inputs = tf.keras.Input(shape=(None,2), dtype =\"float32\", ragged=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "dcce04eb", + "metadata": {}, + "outputs": [], + "source": [ + "output_units = PL_train.shape[1]\n", + "\n", + "dense_layers[-1] = tf.keras.layers.Dense(output_units, activation=output_activation,\n", + " kernel_initializer=initializer, bias_initializer=initializer)\n", + "\n", + "phi_1 = gtf.TFBlock(ragged_layers)\n", + "perm_op = 'mean'\n", + "phi_2 = gtf.TFBlock(dense_layers)\n", + "input_dim = 2\n", + "\n", + "model_PL = gtf.RipsNet(phi_1, phi_2, input_dim, perm_op=perm_op)\n", + "model_PL.compile(optimizer=optim, loss=\"mse\")" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "fcf29241", + "metadata": {}, + "outputs": [], + "source": [ + "history = model_PL.fit(tf_data_train, PL_train, epochs=250, \n", + " validation_data=(tf_clean_data_test, clean_PL_test), callbacks=[callback], verbose=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "5a12893b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "29/29 [==============================] - 0s 9ms/step\n", + "10/10 [==============================] - 0s 9ms/step\n", + "10/10 [==============================] - 0s 9ms/step\n" + ] + } + ], + "source": [ + "train_PL_prediction = model_PL.predict(tf_data_train)\n", + "clean_PL_prediction = model_PL.predict(tf_clean_data_test)\n", + "noisy_PL_prediction = model_PL.predict(tf_noisy_data_test)" + ] + }, + { + "cell_type": "markdown", + "id": "a18b01e5", + "metadata": {}, + "source": [ + "Let's see how good RipsNet is for landscapes now." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "2bfcfcc4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(tf_clean_data_test[3*i+j,:,0], tf_clean_data_test[3*i+j,:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_gudhi_pc.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " for lidx in range(5):\n", + " plt.plot(clean_PL_test[i][lidx*300:(lidx+1)*300]) \n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_gudhi_pl.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " for lidx in range(5):\n", + " plt.plot(clean_PL_prediction[i][lidx*300:(lidx+1)*300])\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('clean_ripsnet_pl.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "8ca63ef4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " ax.scatter(tf_noisy_data_test[3*i+j,:,0], tf_noisy_data_test[3*i+j,:,1], s=3)\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('noisy_gudhi_pc.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " for lidx in range(5):\n", + " plt.plot(noisy_PL_test[i][lidx*300:(lidx+1)*300]) \n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('noisy_gudhi_pl.png', bbox_inches='tight')\n", + "\n", + "fig = plt.figure(figsize=(10, 10)) \n", + "gs = gridspec.GridSpec(3, 3, width_ratios=[1,1,1], wspace=0.0, hspace=0.0)\n", + "for i in range(3):\n", + " for j in range(3):\n", + " ax = plt.subplot(gs[i,j])\n", + " for lidx in range(5):\n", + " plt.plot(noisy_PL_prediction[i][lidx*300:(lidx+1)*300])\n", + " plt.xticks([])\n", + " plt.yticks([])\n", + "plt.savefig('noisy_ripsnet_pl.png', bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "id": "be4eb5f7", + "metadata": {}, + "source": [ + "As before, we end by training XGBoost classifier on both Gudhi and RipsNet generated landscapes." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "41adf227", + "metadata": {}, + "outputs": [], + "source": [ + "model_classif_gudhi = XGBClassifier(eval_metric='logloss', use_label_encoder=False)\n", + "model_classif_gudhi.fit(PL_train, label_classif_train)\n", + "clean_test_acc_gudhi = model_classif_gudhi.score(clean_PL_test, clean_label_classif_test)\n", + "noisy_test_acc_gudhi = model_classif_gudhi.score(noisy_PL_test, noisy_label_classif_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "ea9259ec", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy on clean test set = 1.0\n", + "Accuracy on noisy test set = 0.6666666666666666\n" + ] + } + ], + "source": [ + "print(\"Accuracy on clean test set = \" + str(clean_test_acc_gudhi))\n", + "print(\"Accuracy on noisy test set = \" + str(noisy_test_acc_gudhi))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "1e7933a4", + "metadata": {}, + "outputs": [], + "source": [ + "model_classif_RN = XGBClassifier(eval_metric='logloss', use_label_encoder=False)\n", + "model_classif_RN.fit(train_PL_prediction, label_classif_train)\n", + "clean_test_acc_RN = model_classif_RN.score(clean_PL_prediction, clean_label_classif_test)\n", + "noisy_test_acc_RN = model_classif_RN.score(noisy_PL_prediction, noisy_label_classif_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "64e6b518", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy on clean test set = 0.7866666666666666\n", + "Accuracy on noisy test set = 0.77\n" + ] + } + ], + "source": [ + "print(\"Accuracy on clean test set = \" + str(clean_test_acc_RN))\n", + "print(\"Accuracy on noisy test set = \" + str(noisy_test_acc_RN))" + ] + }, + { + "cell_type": "markdown", + "id": "c1ac739d", + "metadata": {}, + "source": [ + "The difference is less clear than for persistence images, but present nonetheless! Again, RipsNet exhibits better robustness properties than Gudhi on noise data, while being faster and almost as good on clean data." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 0f4d2783db6f6c2669e6af940846810cfc59be07 Mon Sep 17 00:00:00 2001 From: Felix Hensel Date: Tue, 7 Jun 2022 17:28:22 +0200 Subject: [PATCH 2/3] added utils/utils_ripsnet.py --- Tuto-GUDHI-ripsnet.ipynb | 2 +- utils/utils_ripsnet.py | 162 +++++++++++++++++++++++++++++++++++++++ 2 files changed, 163 insertions(+), 1 deletion(-) create mode 100644 utils/utils_ripsnet.py diff --git a/Tuto-GUDHI-ripsnet.ipynb b/Tuto-GUDHI-ripsnet.ipynb index 5321514..8c46fb3 100644 --- a/Tuto-GUDHI-ripsnet.ipynb +++ b/Tuto-GUDHI-ripsnet.ipynb @@ -44,7 +44,7 @@ "metadata": {}, "outputs": [], "source": [ - "from datasets.utils import create_multiple_circles" + "from utils.utils_ripsnet import create_multiple_circles" ] }, { diff --git a/utils/utils_ripsnet.py b/utils/utils_ripsnet.py new file mode 100644 index 0000000..76138a1 --- /dev/null +++ b/utils/utils_ripsnet.py @@ -0,0 +1,162 @@ +import numpy as np +from tqdm import tqdm + +#################################### +### Creation of point clouds ### +#################################### + +def create_circle(N_points, r, x_0, y_0): + X = [] + for i in range(N_points): + theta = np.random.uniform() * 2 * np.pi + X.append([(r * np.cos(theta)) + x_0, (r * np.sin(theta) + y_0)]) + return np.array(X) + + +def create_1_circle_clean(N_points): + r = 2 + x_0, y_0 = 10 * np.random.rand() - 5, 10 * np.random.rand() - 5 + return create_circle(N_points, r, x_0, y_0) + + +def create_2_circle_clean(N_points): + r1 = 5 + r2 = 3 + x_0, y_0 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while np.sqrt((x_0 - x_1) ** 2 + (y_0 - y_1) ** 2) <= r1 + r2: + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + circle1 = create_circle(N_points // 2, r1, x_0, y_0) + circle2 = create_circle(N_points - N_points // 2, r2, x_1, y_1) + X = [0] * N_points + X[:N_points // 2] = circle1 + X[N_points // 2:] = circle2 + np.random.shuffle(X) + return np.array(X) + + +def create_3_circle_clean(N_points): + r0 = 5 + r1 = 3 + r2 = 2 + x_0, y_0 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while np.sqrt((x_0 - x_1) ** 2 + (y_0 - y_1) ** 2) <= r0 + r1: + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + + x_2, y_2 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while(np.sqrt((x_0 - x_2)**2 + (y_0 - y_2)**2) <= r0 + r2) or (np.sqrt((x_1 - x_2)**2 + (y_1 - y_2)**2) <= r1 + r2): + x_2, y_2 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + + circle0 = create_circle(N_points // 3, r0, x_0, y_0) + circle1 = create_circle(N_points // 3, r1, x_1, y_1) + circle2 = create_circle(N_points // 3, r2, x_2, y_2) + + # Handler in case N_points mod 3 != 0. + true_N_points = 3 * (N_points // 3) + + X = [[0,0]] * true_N_points + X[:true_N_points // 3] = circle0 + X[true_N_points // 3:2 * true_N_points // 3] = circle1 + X[2 * true_N_points // 3:] = circle2 + np.random.shuffle(X) + return np.array(X) + + +def create_1_circle_noisy(N_points, N_noise): + r = 2 + x_0, y_0 = 10 * np.random.rand() - 5, 10 * np.random.rand() - 5 + X = create_circle(N_points, r, x_0, y_0) + noise = [] + for i in range(N_noise): + noise.append([np.random.uniform(x_0 - r, x_0 + r), + np.random.uniform(y_0 - r, y_0 + r)]) + X = np.array(X) + X[np.random.choice(np.arange(len(X)), size=N_noise, replace=False, p=None)] = np.array(noise) + return X + + +def create_2_circle_noisy(N_points, N_noise): + r1 = 5 + r2 = 3 + x_0, y_0 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while(np.sqrt((x_0 - x_1)**2 + (y_0 - y_1)**2) <= r1 + r2): + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + circle1 = create_circle(N_points // 2, r1, x_0, y_0) + circle2 = create_circle(N_points - N_points // 2, r2, x_1, y_1) + X = [0] * N_points + X[:N_points // 2] = circle1 + X[N_points // 2:] = circle2 + np.random.shuffle(X) + noise = [] + for i in range(N_noise): + noise.append([np.random.uniform(min(x_0 - r1, x_1 - r2), max(x_0 + r1, x_1 + r2)), + np.random.uniform(min(y_0 - r1, y_1 - r2), max(y_0 + r1, y_1 + r2))]) + X = np.array(X) + X[np.random.choice(np.arange(len(X)), size=N_noise, replace=False, p=None)] = np.array(noise) + return X + + +def create_3_circle_noisy(N_points, N_noise): + r0 = 5 + r1 = 3 + r2 = 2 + x_0, y_0 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while np.sqrt((x_0 - x_1) ** 2 + (y_0 - y_1) ** 2) <= r0 + r1: + x_1, y_1 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + x_2, y_2 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + while(np.sqrt((x_0 - x_2)**2 + (y_0 - y_2)**2) <= r0 + r2) or (np.sqrt((x_1 - x_2)**2 + (y_1 - y_2)**2) <= r1 + r2): + x_2, y_2 = 30 * np.random.rand() - 15, 30 * np.random.rand() - 15 + circle0 = create_circle(N_points // 3, r0, x_0, y_0) + circle1 = create_circle(N_points // 3, r1, x_1, y_1) + circle2 = create_circle(N_points // 3, r2, x_2, y_2) + + true_N_points = 3 * (N_points // 3) + X = [[0,0]] * true_N_points + X[:true_N_points // 3] = circle0 + X[true_N_points // 3:2 * true_N_points // 3] = circle1 + X[2 * true_N_points // 3:] = circle2 + + np.random.shuffle(X) + noise = [] + for i in range(N_noise): + noise.append([np.random.uniform(np.min([x_0 - r0, x_1 - r1, x_2 - r2]), np.max([x_0 + r0, x_1 + r1, x_2 + r2])), + np.random.uniform(np.min([y_0 - r0, y_1 - r1, y_2 - r2]), np.max([y_0 + r0, y_1 + r1, y_2 + r2]))]) + X = np.array(X) + X[np.random.choice(np.arange(len(X)), size=N_noise, replace=False, p=None)] = np.array(noise) + return X + + +def create_multiple_circles(N_sets_train, N_points, noisy=False, N_noise=0): + + data_train, PD_train = [[] for _ in range(N_sets_train)], [] + label_train = np.zeros((N_sets_train,)) + + if not noisy: + for i in tqdm(range(N_sets_train // 3)): + data_train[i] = create_1_circle_clean(N_points) + label_train[i] = 1 + for i in tqdm(range(N_sets_train // 3, 2 * N_sets_train // 3)): + data_train[i] = create_2_circle_clean(N_points) + label_train[i] = 2 + for i in tqdm(range(2 * N_sets_train // 3, N_sets_train)): + data_train[i] = create_3_circle_clean(N_points) + label_train[i] = 3 + else: + for i in tqdm(range(N_sets_train // 3)): + data_train[i] = create_1_circle_noisy(N_points, N_noise) + label_train[i] = 1 + for i in tqdm(range(N_sets_train // 3, 2 * N_sets_train // 3)): + data_train[i] = create_2_circle_noisy(N_points, N_noise) + label_train[i] = 2 + for i in tqdm(range(2 * N_sets_train // 3, N_sets_train)): + data_train[i] = create_3_circle_noisy(N_points, N_noise) + label_train[i] = 3 + + shuffler = np.random.permutation(len(data_train)) + label_train = label_train[shuffler] + data_train = [data_train[p] for p in shuffler] + + return data_train, label_train \ No newline at end of file From 8376cd0c018266d1ad1724ea92b6399872da4a4c Mon Sep 17 00:00:00 2001 From: Felix Hensel Date: Thu, 9 Jun 2022 17:15:54 +0200 Subject: [PATCH 3/3] added requirements --- .binder/requirements.txt | 2 ++ 1 file changed, 2 insertions(+) diff --git a/.binder/requirements.txt b/.binder/requirements.txt index b027598..cefc0fc 100644 --- a/.binder/requirements.txt +++ b/.binder/requirements.txt @@ -11,3 +11,5 @@ networkx gudhi torch eagerpy +tqdm +xgboost