From eebd74f9e672ac868664cf7f09c7a12cee97cef7 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 6 Oct 2025 12:47:34 -0600 Subject: [PATCH 01/16] Added the Mapper Algorithm as a callable runmapper function --- cereeberus/MapperTest.ipynb | 136 +++++++++++++++++++++++++++ cereeberus/cereeberus/reeb/mapper.py | 115 +++++++++++++++++++++- 2 files changed, 250 insertions(+), 1 deletion(-) create mode 100644 cereeberus/MapperTest.ipynb diff --git a/cereeberus/MapperTest.ipynb b/cereeberus/MapperTest.ipynb new file mode 100644 index 0000000..4d3fbfb --- /dev/null +++ b/cereeberus/MapperTest.ipynb @@ -0,0 +1,136 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b29e007e-a8db-42e4-abb5-d13cd0606919", + "metadata": {}, + "source": [ + "Generate Data" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "id": "1ea1cbea-519a-4a31-bf81-9d8e7111cd07", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "number_of_points = 300\n", + "\n", + "data, labels = make_circles(n_samples=number_of_points, factor=0.5, noise=0.03, random_state=0)\n", + "\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append(data[val])\n", + " val += 1\n" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "id": "ac2a2425-8b0b-4683-bee2-8f31c526d5a3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "markdown", + "id": "c368f2fc-6467-47a7-9b80-75e6b61a3f08", + "metadata": {}, + "source": [ + "Simple Mapper (no parameters except input graph)" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "id": "daf93fa0-ab2b-421a-9e04-59bd134a7ca4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Zba1CdsVFlNYWMcGD8MBIc8zCAzs13Ob8+fM4fvy4icawYNPRqEydrQ65lRkoqMmF1VaH0IAwJIX1QHSw98xC+TgSFkII4eMU1+Rjb/5aHCrYhPzqa7f83QILEkNTMTZ+DkbHzUR4UGSr6iiOHDliohTs+iD0oWAdBX0pvJWKujIcLNiIffnrkFOZARtst9wmLjgJI+OmY1TMLDMSnYwfP97MNWmOWmsNThTvxu7rq5BRfgZ1tnohdiMRgVEYEjMJEzrPR9fwXvAmLDa+Kzo4B8UqYIbLmHMTQgjhujPtddkvY0ceuxS4NLb0dW9BoCUIs7vcj6mJSxFoCWyxrZJ1FPSlIHTKZB0FJ5B6ax0Fowbb897FuuxXUGsW/OaPmQUBRlwFXOiMmIt98Y2vfqtZC/ITRXuwPPNplNUWGUHX3GsSgABYYUW/qFG4q9ujiAlJgDtxdP2WsBBCCB/kakU6/n3xdyisyXVAUNxKSlhvPJj2fcSFJN3yNzplstODoX9CDwqOA584caJXD9kqqs7Dy5d+jysV51p/ZxsQYYnBZ/v+CN0ibp0JUmOtwttX/heHC7e2KCgaExhBAcG4O/XrGBY7Be5CwkIIIfyUK+Vn8Y8LP0WNtRo2WNv0GFzMIoKi8eW+TyI+pIu5rqqqynhR0JOirq7OXDd69GhjWc0ppN5MYXUunj33OEprC02UoC0wehFkCcbnev8MPToNuElUvJD+S1wqO9kmkXcjS7s9inGd58IdSFgIIYQfUlRzHX8+/S1UWSvbLCpuFBfRwQn4et//h1PHzhjXTE4hJWlpaaaOoqV6Am9JGf3lzH+gsDqnzaLCjgUWBAeE4Zv9/8dEe7jEvnr5v3G8aFe7RYWdz/b6sUmPdDSOrt/eG7MSQghxE1zE3sp4CtXWSlSVV2PXC2eRdTQfWccKUFlcgzt+MRrDl/T86PZWG46+exmn12ch+1QRKouqEdMtAoMXpGLiZ/ohKJRCJRd/3PgEqnfWdynExcVh3rx5GDBggNfWUXyctdn/RkH1NVSV17R4zAj/fmTFZWQdLUDO2SJYa2144vBd5m822FBrrcJbGX/F53r/HEeLtuNY0U7zt+ryWoce/+CydBx7LwPX00tRVVKDyMQw9BybgKlfGYi4bpF4M+Mv+PaAv9zUleJJ+JeBuRBC+DBcwM6VHjJn3eUFVdj27CnkpZcgqX/jttk1lXVY+ZMD5raj7+uFOd8fhpShcdj69Em8+tUdRqjwv9LkDAQl1ZjCzK9+9asYOHCgz4iKrIp07Mhbaf6djhwzcm7bNRx66yLDE4jtduviboUVF8qOYX/+OryT+ayJYxBHH//aqSLzuJM+2w8LfjgCQ2/vjvPbr+GfD21CcU45ymqLsT77FXgqilgIIYSPsD1vRX2XAqzmLPeb6xciMiEMV48X4J8P1jtC3khgcAA+/eJtSB3ZueG6Uff0QkxKJyMuLu7ORa+JSYDNgl7zYzG592T4Gjvz3mvovnDkmJHR9/fCpEf6IzgsEKt/cxj5l+rTQx9PiWy49rrxDbHj6OMv+OHIW67rP6sr/vnJTSbCNPnzA7A3fx3mJD+IsEDPc/dUxEIIIXyAa5WXjCeCva4iKCTQLGDNQWFxo6iwM2B2V/Mz70K9LwUsNpws3f2hqZbvUFlXjsOFWxrqKhw5ZiSyc5gRFc1hgw1Ftddvus7Rx2+MmJR6AcHUCKm1VZt990TaJSx++9vfmnDYt7/9beftkRBCiFZzofS4OUt2BmV5VeZnRNxHo8ytqMPl8tPwJa40YU7lKZQXVqHsepWJbrz3kwPmurQJ9e2/jExdKD0Gn0qF7N27F88++yyGDx/u3D0SQgjRarIqzn+YBqlvA20PO184g9DIIPSZUt9mSpguyKq4gIHRY+ErZFZcaEgdeSJ/mbsKddX1+xYeG4K5PxiOXpPqhQX3mREqnxEWbDd66KGH8Nxzz+FXv/pVs7dl3zMvduyjc4UQQjiPvKosE1VoL9v/fhoXd+Vi/g9HICz6o4gFya/Ohi/Bf0+9WZVn8sBTk1FXXWdSUuwSqam4ObpSVJNnCmw9rZC2TamQr33ta2bIiiOz5p988knT92q/dO/evS1PKYQQohlqbfW59/ZwYtUVbP7rCYy4qyfG3N/7pr9x8a2zem7aoC3Up0E8VVYAaeMT0WdqMiZ8uh/u/u/xpqNk3yvnb7qNM8Sk24XFq6++igMHDhjB4AiPP/64MdOwXzIyMtqyn0IIIZohJKBtRYF20nfm4N0f7UffaclY+KORTRg/tW8CqqcRbOG/x7PO9psirnskugyMxfH3M256TQLQfBGpx6dCKAq+9a1vYe3atQgLc+xNzGEszQ1kEUII0X66hPXA5bLTbTqDzTySjzf/Yxe6DonFXf81HgFBt55zMqefGNYNvkRiWKrH1lc0Rm1lHWprPtrfhNAUj0uDtDpisX//fuTk5BhveA6a4WXz5s3485//bH63e8cLIYToWFLC+7RJVORdKMbr39hp2hnv+8ukJtso2T7ZLbwvfIlu4b2dZrPtLKy1VlQUV99yPd06c84Vo+vg2IZi2u4R/eGJtCpiMXv2bBw9evSm6x555BHjwvaDH/wAgYGeF5IRQgh/oF/kiFumZjIfX1lSg9LcSrN9dnM2iq9VmN/HfrIPLAHAq4/uQGVxtbHwPr/l5uLM2O6dkDqi3uciNCAc3SP6wZegUAoL7HSTiVVLxywsKhhFWeU4uvKyue7qiQLzc9vfTpmfMV0jMGxxj4bHa+1rApsNf523CoPnpyKhTxSCw4OQe7YYR965hLDIIEz90kBzW3pv9I8aDa8XFlFRURg6dOhN13Xq1AmdO3e+5XohhBAdR0xIAgZGj8Pp4n0Nhk+7/3XOLIJ2OBOEF0KbaFKcXb+obfxT/Qj0Gxl2Zw8jLHh2PDZ+js/VWHAU+fj4+diau7whJdLSMaOwKMwsw5anTt70WPbtHmMTjLBg9UPXsDRkVV646XYtPX5UUjhG3p2GS3tzcWpdprFd53WDF6ZiyhcHNFiIRwRGY3DMBHgi7Z5uOmPGDIwcORJ//OMfHbq9ppsKIYRrSC85gb+n/8jpjxtoCTJDr+zj032J7OIr+OuFb8NmsTq9jvORXj81s0I44MzZKZf5yQ/jtqS74ZPTTTdtatzrXAghRMfBL/sty/ciILozrL2vO3WRnJf8sE+KinPnzmHFihUISExG3Yj6qIEzsCAAY+JmoU/kcAwtnYctwf9y2uvB6FFSWHdMSbwTnoqGkAkhhJdz/PhxrFy5EpWVlQgL64HA3kAZChpSIu1ZINM6DcLkhNvhS1RXV2PNmjWmIYEkhgxAUFAUMmvPtrtLJAABiA1JwpzEh/DOO+/g8OHDCBjYBdZB19q936zXCLQE4/4e/2GiSJ6K5+6ZEEKIZqGr8apVq3Do0CGznZKSgrvvvhvB0RY8d/5HKKzOabO44CKWGtEXn0p7AgEW3ynMv3TpklnwCwrqiy7Hjx9vzB5tgXV44cIvcbn8VJvTFhQV0cEJuLfzd/Dyi68iOzvbtIMu6P4wrsefwO78D9ol8oIswfhs7x+b1mJPpt01Fq1FNRZCCNF+rly5grfeessskFy8pk6diunTpzd055XVFuOtjL/iVMm+Vj2uvYthbNwc3N7t8wjxkYLN2tpabNiwATt37jTbXIeWLFmCXr16NdymxlqF97NewJ781bd0czgCuzTG1N2B999ag4qKCkRERODee+81z8Glduf197Dq6r9gs1lbJfi4L/SseKDHY+ga/tH+djSOrt8SFkII4UVYrVZs3brVeAjx65vfp3fddRd69ux5y235d47WXpP9Eopqrpsz6qYWNPvfEkO74faUz6Nf1K3um95KVlYWli9fjtzcXLPNhoMFCxY0ad54vvQoVmb+HTlVGcbZsil/EPsAs+igeMxJfhBlx4OwccPGhujR/fffb16fj890eTfzOZwrPdzs62EXNnRUnZJwJ2Yk3WO6WNyJhIUQQvgYhYWFJkphH43ANn/ObWrJCdlqq8PZkkM4XLgVl8tOoaAm55az4R4RAzE6fhZ6Rgz0SDfHtkDTRoowXijIIiMjsXjxYvTv37KxFJdGjok/ULARl8pOIq8q86YIRmxwEnpE9MfwuGlICxmKFe+swKlT9V4WNJFcuHChMY5sCgqMffnrkF56DFcrL940vr1TYDRSI/phUPR4jIib1m67dmchYSGEED7EkSNH8P7775u6ipCQECMohg8f3qbHqqqrMKZQFksAwgM7+Zw/BWF04u2338bVq1fN9pAhQ7Bo0SKTnmgLTJNU1JWZNAZNtUIDwxue57XXXsP169dNGmrRokVGWLSGOlsdymqLYLVZTeopIigKnkiHtZsKIYRwHez0oKCwux5zQjRTH3FxcW1+TC6K9oXR12BkYteuXaaeghGL8PBws9i318SR4uvjAuzEiRMmxVJTU2MWWqY+unVr/TyVQEsgooPj4StIWAghhIdy+fJlk/rgGSLTEyzOnDZtGgICWj2Y2i9gISsXeh430q9fP5P6oGu0s8XL+vXrsWPHDrOdlpZmijTpRC0kLIQQwuPgmTaLM7dt22Zy/YxOsI00NTXV3bvmkfAY0ZOC3hSMHjBVNH/+fIwaNcrp9SJlZWVYtmwZ0tPTzfbkyZPNHC2JvY+QsBBCCA8iPz/fRCkyMzMd6mDwd5j3p3vm+fPnzTa7Y5YuXYrY2PopoM6Er8nrr79unjM4ONi0q7J2Q9yMhIUQQnjIWTeNrj744ANz1s1OjzvuuEMLVzPHi3UnPF6sQ2EHBiMHEyZMcElXy4EDB0ytC6NJHLzJeoqkpCSnP48vIGEhhBBuhmZKtORmMaA9Z8+z7o97IIiP0hHvvfceTp6snyjKgkker4SEBJcYa1G8UFiQAQMGmOdqqcXXn5GwEEIIN8JcPdsiS0pKTJ5+1qxZmDRpknL2TUCvCIowigseIxa00nXUFceLKQ+mPuxpqZkzZ5riWV/x+XAVEhZCCOEGGFJnS6S9s4DhdRZo0rFR3ArTHZyLwqFehGkItt0mJye75PkuXryIN954A+Xl5SY6cc8996Bv374ueS5fQ8JCCCE6mLy8PNNZwCFVZMyYMZg3b57pZhC3cuHCBTM4jBEERgvYiTFjxoxmnS3bU7tBH4y1a9ea3ylcWE/RHt8Qf0PCQgghOrgtcvXq1SZ3T/OmO++8EwMHDnT3rnnsePN169Zh7969Zjs+Pt7UN9AkzFXPxw4TjqEndDZlAS07QITjSFgIIUQHwJoALlpnzpwx23369DHtis42b/IVOA+FZldsvyXjxo0z481dFdWhJTetuWnRzXoN+mDwOVVP0XokLIQQwsWcO3fOhPJLS0vNPAkukK5qi/R2GMnZtGmTqT1hhIdW2RRgvXv3dtlznj592hTQcg4LB5Xdd9996NGjh8uez9eRsBBCCBcukgzl796922wnJiaaIsAuXbq4e9c8Eg4MY5QiJ6d++uqIESOMOZirWjtpzU2H0y1btphtplgoKhRFah8SFkII4QKuXbtmHDTti+T48eNNpEL5+sYXeNqXc5Hn75y5wdoGV9ae0DuErw+jSfbXhwW0jCiJ9iFhIYQQToTh+z179piuAraUcpFkKJ8DsUTjHTJMQ2RlZZntQYMGmZHwrhzoxW4c1lMUFhaazhIOKmvrCHpxKxIWQgjhJFhDwVoK+1lw//79TdeHpl42LsCYIuKUUKaMmO5YuHAhhg0b5tLakyNHjuDdd981z8l5Ig888IDLvDD8FQkLIYRwUgEguz5oqMSzYIbVx44dqwLNRmCkgLUUly5dMts0nmLUgIWaroLRI04/ZTTJ/pw0JGPLr3AuEhZCCNEOODCMvhT0pyAszGSBJgs1xa1RioMHD5rjRc8I1puwrXP06NEuFWC0S3/zzTdx+fJls33bbbcZK3DZprsGCQshhGhHFwMLAFknQDjjg7M+XOEI6e1wcWcK4uzZs2ab7Zw0u3K1oyX9MDjvg2kqjp6nDTgHiQnXoXe/EEK04cx7586dpj6AXQxsT+Qi6UqvBW/m2LFjZhop532w64Lia+LEiS6NGPA12rdvn5kvwteIESTWU3Ami3AtEhZCCNEKOK+C9QGcSkrYEsn6gIiICHfvmsfBepP333+/wSK7a9euJmLg6jQR01MUMvaBZUOGDDFFtJrF0jFIWAghhIOcOHHChPN55s36AJo3jRo1SgWajUDrchaz2sebc9w4L672iSgoKDCpD7aU8nWhdwhTVHqNOg4JCyGEaAEWGn7wwQc4dOiQ2eZoc3YUKKx+K7TFZvrBfqwYnWCaqCPGwZ8/f95MjaX5FSNI9957L3r16uXy5xU3I2EhhBDNkJmZaQo07cOwpk6dakZ2y6HxVpgeoo9HUVGR2eZ485kzZ7q8mJX1FHTu3LBhg9mmiOGo85iYGJc+r2gcCQshhGjGZpoDsezDsBil6Nmzp7t3zeNgTQNnotg9ItjpwShFRwzyYoSENS+nTp0y22xdpdGWOnPch468EEI0YuBEm2m77wGL/zi7wlXDsLyZK1eumIWdY8fJmDFjjDlYRxRKcsQ5rbn53IwgLVq0yAgL4V4kLIQQ4gaOHj1qOgp4JszFkYsV50io+O9WJ0tGc7Zv324iOmy5ZecFHS07qpCWgobREkaTmPro1q1bhzy3aB4JCyGEAEynBws0OUuCpKammtSHqw2cvHVyKyM6/EkovNgh0xH22ExR0T9kx44dZjstLc0UaWoei+cgYSGE8HuY8uBCyRQIIxO0fOZFls+3LuqMUDBSwd/ZecEUESeSdgRsXWXXh91DhMWhs2fP1uvkYUhYCCH8Fi6OmzdvxtatW004n9MuGaXo3r27u3fN42AdA1MPrKmwG4NRVHRUpIDdOfSnoEEZPUQ4ip61L8LzkLAQQvglbB9lGykXLDJixAjTTcB5EuIjKLjY7cGuD44a5/HhcerIupMDBw4YB0/WddA7hPUUSUlJHfLcovVIWAgh/G6hpNUz6ylofMWFkmfeQ4cOdfeueRxMDdE905564CwUFmh2lD8EhQxfJwoLwuFhbGNVd45nI2EhhPAb6Mi4cuVK01FA6EnB2RUyUrpVfNE5kw6a9vHmc+fOxdixYzssSkGTrTfeeKMhokSjLVqCqzvH85GwEEL4BRcvXjQFmszRs9iPCxWL/1T4dzMcL855KJz1QVhvwihBfHx8h75WFBUcYsboxD333NNhbayi/UhYCCF8GublN27caLoZCBdILlQdMbvC2+AUUnp4MLJDwymKLw7w6ijxxUjJrl27sHbtWvN7cnKyqadQy693IWEhhPBZ8vLyTIHm1atXzTZdGefPn6/x2R+DQoLFkceOHTPbXNCZIurIAkmmXFjPYR+xzuJQ1r4wDSO8CwkLIYTPwbNdFvyxRoAFgDRuWrx4cYf5LXgTZ8+eNQs6UyCsX2AdAz08OnLIGltZac1Ni25GRyj+xo0bp3oKL0XCQgjhUzAvz4Xy9OnTDZ0MrBGg5bT4CFqWr1mzpqHjIiEhwRynjrbF5uvE2hfuT2RkJO67774OGV4mXIeEhRDCZzh//rwxceLZN8+46co4ceJEnfk2UhzJ8eZsJyU8RrNmzerQtIPdnGzLli0NRaIUFRKA3o+EhRDC62G6gwZOu3fvNtuJiYnGQZO1AuIjOLBrw4YNpkCS0GmUDpact9HRNR2sfTl37pzZHj9+vJmI2pHpF+E6JCyEEG6hzmpFflU5amxWhAUGIS4kvE2RhZycHDM/gj8Jc/P0XPCFoj/WihRUV6CytgbBAYGID41AYBs7NOgHwWgOC1rthaxczFvrNFpRW4Oi6grYAMSEhCEiqHWFsNnZ2aaegtGSoKAgU/vCQk3hO0hYCCE6jMyyIrx24SB2XLuIE4XXUFVX2/C36OAwjIhPwaxufXFXz2GICglzyGqarYlsKeXMCrpC9u/fH95McXUl3rp4FBuzzuJIfhaKa6oa/hYaGIQhscmY3CUND/QeiZROLRt78dgw3WCfh8I6Bh6nfv36ObQ/vM+OnItYfvEY9udl4HJpgREVhDKwe6c4jElMxZKeQzGlSy8ENCMOOTmWHhmMMDFa8sADDyiq5INYbHzXdCA0p6HLHV3VoqOjO/KphRBuIqusCL84uAbrMs+YqIS1ia8d+5IUEhCEh/uNwbeH3tboGTFrKFgjYA+lc5HkYslF01spq6nGH49txkvn9qPGWmeua+rLOfDDYziv2wD8ePQ8dI1o/LuUURwWRjJKQGhbvmjRIofHm/P1+vXBtbhcVmies66J1y3QEoA6mxWpnWLwxMg5mJ868BZxw0JRCkFCsyumqjpizLro+PVbwkII4VLevHAYPzuwGtXWOrP4OEoALGbB/OOkpRidkNpwPR0hKSrY/cFQOtMe3t6auC83A9/etRzXyktgbVJO3AoXe4qwX4xZgLt7Db+pMHLnzp3GGIyLOhfw22+/3eFpoCU1VfjJvg+w4vJxI/Yc3SP7bW/vPgi/GrsI0SFhKCkpwZtvvmlG0xO2sk6fPl2Op16IhIUQwu386dgW/Pn41jbfn2F1Coxnpt6LqYlp5qx337595m9dunQxZ73ePuWSUYGvbV9mIhCtERUfh9GdbwyZZqa2spYiIyPDXM/UEOsYHI3mFFZV4OFN/8bpopwmI0uOCJ7eUQn4rwEzsebteo8M1nLQdIuDxIR3ImEhhHArL57Za9If7cXyYaj93oIIhGR/1B7JVlJGLLwZRioe2viSieQ444v4c50HwrLntOn+oLvoggULMHLkSIejOdV1dXhgw4s4XpDdZNrDUSgIYyutWHipDskJiaaegiPPhffi6Prt3Z9KIYRHcrYoF785tM78bq2sQuG721B17oq5WMsqkPiVuxE1Y/Qt96vOzMH1f32AylOXYAkKRMSo/uj86UVAVATejSjBg1GdcN+Su9CnTx94O+W11fiPXctNVKCxJbzqQibyX1uHyjOXWUGJsH7dEf/QAoSmdW3yMV/IPYnFljqM7NXL1JywQLI1PH1yO47mX21S5NRczUP+6+tRefoSrKUVCEqIQeSU4Yi5YyoCQm+uhaFUyg8FsgYm4UdLPy8bdT9CSS4hhFNhEPR7u9+FfbmsKy5H4bKNqMnMQUjPpjsAaq8XIetnf0dN9nXEf2IuYu6YgvKDZ3D11/+Eta4O5SEW1N421CdEBfnj0S3IbqKmoio9C1k/fQ611/IRd89Mc+Fxyfr531GdldvkY9osFhwfFI+HH3641aLiTFEu/npiW5OiojavEJk/egZVZzMQM3+CEXyh/bqj4I0NyPnz643fyWLBJls+zpXlt2pfhHcjYSGEcCr78jJwtOBqQyg9KC4KPZ75AXr89Xvo/NCCJu9XuHwzbFU1SPnx5xCzcBLi7pqBpG8/gOpL2SjZdNAseK9cPIzSG9ovvZWS6kr837l9TdZU5L++DpaQYKT88suIvWMqYhdPQ8ovvmwiF/mvrm3ycW0W4FxVMQ7lZ7V6n/55eg8sDX05jezz1kOwllUi+QefQuyS6YieMw5Jj96DyNtGonz/KdSVVjR6vwBLAJ4/U98NIvwDCQshhFP5v7P7TE2EHUtwEIJiW7ZpLttzHBGjByAo4aMz7YhhfRHcNQFlu46abfpevHOpfgKnN0OfCntLaWMwFRQ+rA8CoyIarqNACx/UC+UHTpv0UlPw2LNltbXeGcsvHW22a8daUf+cgTE3F4EG8rW1WEzqqjH4mO9eOo6CqvJW7ZPwE2Hx9NNPG4c0Fm3wMmnSJHzwwQeu2zshhNelQTZePdeqtlJSm1+MuqIyhPa+dQBWaJ9uqLp4taGUc2NWvXeFN8Nj1By2mlpYQm4tgbOEBgO1dajOqHcZbQwe+w1ZZ81r4Sh7ci+bduDmCB/cy/zMffZt83owNVK64yiK1+5B9IJJCAhruoai1mbFrpxLDu+P8G5aVbyZmpqK3/72t8aMhm/aF1980fjMHzx40OH+aCGE73KptADltTWtvl9dQYn5GRh7a0tkYFyUKRTkYovgIBxuQ5jfk+B35+HrWc12gYSkJKDq7BXYrFZYPvR7sNXWoupcRoMQa8mHIrO8CKmdHKuzYMGm3eSqKSJG9kfc/bNRuHyLSX3Yib1rOuIfmNvs4wdZAnCsIBsLu2tsvT/QKmHBXugb+fWvf22iGBxoI2EhhDhfXD+HorVYq2sa0iYfx34dbxMYHGTmi7BGoSXLb0+lsLoCxTWVzd4meu4E5P1jBXKfeRuxd04ztRUFb21CbUGp+bvtw+PVHOeK8xwWFnzdHPGsCEqMQ9igNHQaP9ikaZiWodAIjIlCzIKJTd6PgoWdQsI/aHO7Kd3c3njjDZSVlZmUSFNUVVWZy419sEII36TyhtkfrSEgpH5gmIlKfAz7dfbbkIq6GkQhzGePUfTc8aZLhm26pVsOmuuYJoq9cyoK397cbNqh4Xlqa1u1T403vX5E6Y4jyHvuHXT/n28jqHP9jJJO44eYCEz+K6tN2+mNNSE3YvtweJnwD1otLI4ePWqERGVlpXFyow/94MGDm7z9k08+iZ///Oft3U8hhBfACZxtgekOUldYf0b+8TRJQGT4TdGMtj6PJ+Dovte33E5FzZVrCIgIQ0iPZOS/Um84xoLWlp8noFX71JJ1d/Ga3QhJ69ogKux0GjMIpZsPoupilim2bYqQQNkm+Qut7gqhHeuhQ4ewe/duPProo/jMZz6DEydONHn7xx9/3Lh02S92m1khhO/RI7J13gl2guKjERDdyZhCfZyq85kI6fmRKVSnoBDEhnjv8CqOPg8PdGyke2BkOMIGphlRQSqOnUdgfDSCU1oWFj0i4xzep+6RsTd18jQGi2thvbUGw1b3YdFnnbXZGouerdgf4WfCgu5pnEw3ZswYE40YMWIE/vSnPzV5e/rD27tI7BchhG/SNzqxzdEEhtWZs2e3gZ2Ko+eN22PkxKEN1w2NS/bqgWOcfzI4rkur78cODIqsmEWTGwo6m4Lj1XtHOW6fPTSuq+ncaI7grp1NN0h1Vt4tKRK2m9rFT2Pwsfm6Cf+g3bEpTtG7sYZCCOG/BAUEYGxCd+zOvXRTMWDRql2wllc0dH+UHTiF2vwi83sMWxUjwhC39DaU7T6GrF8+bwyyrJXVKHp3G0J6dGmw/+b8icld6tsevZkpXXrh4PXMJgsmK06mG7fS8OH9TBqI3SA0CQsf0c8cm5YGgI1P6IHAVqRCxiV2bzEVErN4KsoPncXVnz+H6HkTEfBh8WbFoTOImjXGRJ2ago89PqmHw/sj/EhYMK2xcOFC9OjRw4zCffnll7Fp0yasXr3adXsohPAqHu47BjtzLt50XdHKbTdFIsr3nDAXEjl1pBEWNMZK+cnncf3/PjC1BPWzQgYg/uGFH9VXWID7eo+At3Nf75H4SzNTX4PiooGAABS+uxW2ymrTjRH/wGzE3D4FlsDmI0J0PH2435hW7Q/H08/s2hebsy802XJKc66UX3wJBW9uQPHa3agrqUBwUhziHphT37nSjNChGHS0Q0X4mbDIycnBpz/9aVy9etVMOKNZFkXF3LnN9zALIfyHWSl90TkoDPk1lcZimvT463cdum9I9y7o+sRnm1ygFqYOQpfwll08PZ2UiGjMTx2INVdON2rrHZzcucnj0ByM6CRHRBmR0FoeGTABG1ow7grrm4qu//npVj0uhc7n+o9v9f4IPxEW//jHP1y3J0IIr4ft5++99x5GXSrDuh7O69ygPmHB4w9HzYEvUF5ejhFXKrHOaoWV/zgn1YxQpPx+/OJWpUHsTO6ShiU9hxr7becMca8XgxRQt3X1jcFxwjHU/yOEcArHjx/H+++/bxbN1IAAzAxPxqaKbKcsUXyMX41bhCQfiFakp6ebNn2mkyfFBGBrV+eMbKI0+VTfsZjUJa3Nj/GJTj2xpvYoKgPrJ6W2V1TEhITj52OaHjwnfBMJCyFEu6CQoKCgsCBdunTB0qVL0TkpEV/bvqx+bkU7n+P7w2dhcQ/vdvelqSBr0rZt22a2O3fujC/dcw+WF1zAfx/d1K7HpgSY220Afjiq7WnpPXv2mNlPc0OAdb1DUGWxNUyobYuo6BQUipdmPGTaa4V/IWEhhGgzJ0+eNKkPpkDYAjpt2jTcdtttCPywwPCpKffg1wfX4v/O7Tdtlo7YRtuhrwIXqJ+Nno8H+oyCN1NQUIBly5YhM7Pep2PUqFFYsGCBad9/tGtXc2b/y4NrTOFkaxZz1lQwbfHpfmPxxMi5piunTYPjNm7E1q31xaRzho/FN6ZOwKM7lhmrb1sbRE5aZDyennov+kS37LchfA+LrTUj8JwALb1Z+EmzLHlaCOGdVFRUmLNbOvGSxMREE6VISUlp9Pbbr6XjP/esRFZ5sRELzS2e9mFYbFv9/YTFXm+sdOTIESO+qqurja8PZy41NlspvSQfP9jzLvbnXWlxIJj9GHaLiMHvxt/R5vQH7QLeffddY3pIZs6cacQhRWJ1XR3+9+Q2PH1ih3muZi2/bTZznwBLAL48aBK+Pniq8dIQvoWj67eEhRCiVZw+fRorV65EaWmpWUymTJmC6dOnIyio+YWk1mrFxqtn8dLZ/dibl4GqRmZmxISEYXZKP9OyOqLzrSPUvQn6+zBFRGFB2KZ/1113ITY2tvnJp/lZ5hitzzrb6LCysMAgjEvsYY4Ruz/aUqhJampq8Oabb+LMmTPmdbzjjjswenS9X8iNXK8sw5vpR/Bm+mGkl1xvVF5EVdkwM7obfrjgfiSEdWrT/gjPR8JCCOFUOB9o1apVOHz4sNlOSEgwUYpu3VovAOqsVqSX5iOjtADV1jrT8dE3JhFdw6O82lXTzpUrV/DWW2+ZFAj/PRRejAQEtEIE8Kv5akUJzhXlmqFrIQGBxqa7V1Rnk1Zqb13MK6+8YvaTgvCee+7BwIEDW7xfWU01ThXloKCq3EQw4kIigOx8vPfWclMz8vWvf71d+yU8G0fXb8WqhBAtcvbsWRMyZycDmTx5sgmbtxSlaAqeZfeNTjAXX4Kphe3bt5siTf7OL+G7777bRCtaCwUJ/S54cSZcFF566SXk5eUhLCwMn/zkJx3ev07BIRiTkHrTdVXRSfggIADXr19Hfn4+4uPjnbq/wvuQsBBCNBulWLNmDQ4erB/dzUWDUYru3bu7e9c88myObaQXL9a7jrKOgukFLt6eAk0OKSooEHnG+dBDDyEpKaldj8m6EQoT/rspQCdMmOC0/RXeiYSFEKJRzp8/jxUrVpgFk0ycOBGzZs1CcLBjkzn9iVOnTpljxaJWHp9FixaZAY2elNa5fPmySX9QLDKN9fDDD5uIijPo16+fhIVoQMJCCHFL0eHatWuxf/9+sx0XF4clS5agZ8+e7t41j4MFkBxrYD9WXbt2NfUKrDfwNOHDdtfa2loTbWL6IzzceaPnKSz4nqG4YPcL22iF/yJhIYS4yRXynXfeMXl4Mn78eMyePVsLRSNcu3bNLNa5ubkNdSeM6Ng9PDwFih62u7IYdMCAAUb4ODvqxAgIu10KCwvNe4jPI/wXCQshhDnLXLduHfbu3Wu2uUgwSpGW1nZ7aF+FCzRdKnmGTjfNyMhI00bau3dveNp+btmyxRSS2k25WPPRms4UR2HKh1ELvn+YDpGw8G8kLITwcy5dumSiFGyNJGPHjjUTixWluBU6jPJYcfEk/fv3x5133olOnTzLu4EdKfTQsKdo2OrKLh5X1nzcKCwoajypvkR0LBIWQvhxfcD69euxe/dus81CPi6Snnbm7UnFrOz6oLhgumPevHkYN26cxy2grKNgioZ1FYSFpNxPV8PoFtuPWezL7hPOjBH+iYSFEH4IOwR45k3fAULHRS6UbB0UN8N0BwXYzp07G+zLWafgiQsnOz7Y+cHXl+KHHhqDBw/ukOdm3UavXr1MxIIXTzw+omOQsBDCz6IUHDhlXySjoqJMlKJv377u3jWPhCZSdNC8evVqQ5qIAswTW24ZKfj3v/9togUUiJ/4xCc6vEaG6RC7sJg6dWqHPrfwHCQshPATaN+8fPly45BIRo4cifnz53uUgZOnwBoBDubioDWKMbZmUoA5YnvtLgFE4yt287CYlMZXycnJHb4fFBYkIyPDeHo4s6VVeA8SFkL4OMy5szNgx44dZsHkwsMJmyw8FI2nEzhk7fjx42abZ/3s+vDU2UYUjC+//LJZyOmfQeOr5gaduRI+L1NFbMFlTcrQoUPdsh/CvUhYCOHDZGZmmloKu9fC8OHDsWDBAp1JNgFrE5j64Jk/2zLZSUF/Cle0aDoDTiZ94403jHjkMLgHH3wQERERbt0nptX4fjt37pyEhZ8iYSGED8KFhh4G27ZtM1EKtkPSw8BTQ/me0J7J48ULjxfdRlmg2ZbJrR0F57dwMBz3l4v5fffd5xEtwkyHsIZHbaf+i4SFED4GCw1ZS8EiPsKzxoULF7r9TNZToVskoxSsCyCc8cHj5akdMlysKRg3bNjQsL9MbXmK4ycHklHgcDR7VlaWR4sz4RokLITwobbIrVu3mgvPwCkkbr/99g5rN/RGjh07ZuopOB+FiyGjOsOGDYOnQlGxatUq4/xJpkyZYizXPSkqQIHTp08fnDx50qRqJCz8DwkLIXyA7OxsU0vBn4RigsZInuYI6UkW5uz4YOcH4eLH1AdTIJ6c3mIkyl5Uyo4eTpz1RJgOobBgnQXrVIR/IWEhhJdHKbZv347NmzebKAWLMhmlGDJkiLt3zWNheJ7OlHZzMNpdT58+3WNSCY3BiMprr71mBnyxkJRdKp5cGGlvO+WxLi0tNZ1Iwn+QsBDCS2ENBc9g7eZNLMykqNCXeNNpBBYV0kWTIozto1ygPX3QGhdmGl8xGsV0zQMPPODxtut8D3KEPN+bjFrQM0X4DxIWQngZXBTtUQpGLGhwxbQHz2A9KdfuSZSUlBgRduHCBbM9aNAgU/Do6W23NDOj8RULTJnWovEVF2xvgFELCgt2h0hY+BcSFkJ4EfQH4ALJEDOhyRULDmnNLRqHBYSsP2GXAodk0ceDs1E8XYTxNWakgvvN2g8aX8XHx8NboLBg+y6NsiiAPTnVJJyLhIUQXhKlYBifcz74Jc1WSLZE0vDK0xdIdxY7rl27tqGDgkOxWKBJZ0hPh4sxaypoJ84IBY2vvC3FlZKSYjqTKIzYyuvpKSfhPCQshPBwOAeCZ9y0biY0Q2IY31Mtpj2l/oQFmnYvjwkTJmDOnDkmYuHpHDlyxLzeFJOspbj//vs91lOjOVhkyvcq/z1Mh0hY+A+e/ykTwk/hwrJ7925jhMSzbxbuMYzPfLWiFE0XaO7btw9r1qwxx4x1CUuWLGnoUvB0OM+FURbCmpmlS5d6dQqBx90uLObOnevu3REdhISFEB4IWyF51srZFYRnrpyuGRMT4+5d81gYcqfF9alTp8w2TZq4MHtDCoGCiILCPs6eERb6VHi7gORrwH8Da4NYgOqu4WiiY5GwEMLDFhjWBKxbt64hSjFv3jyvKDZ0J/R3ePvtt033B0PwTHvQPMobjhlrZigijx49ara57xx85g373hLsuunevbsRyIxajBs3zt27JDoACQshPISCggKzwFy6dMlsMyfNML7O8ppflFnQyvZbwrHhLND0lpZMOoC+/vrrpliTgohRKc7+8CVYZ0FhQT8LCQv/QMJCCA+pC2AonF0AwcHBJh89duxYnzhrdWW6iAWa9tbbUaNGmRoUT5jw6QhlZWV4+eWXzf7zNWeRJhdhX4Mt0awTooeI/f0tfBsJCyHcCPPOK1asMKF80rNnTxOl8OSZFZ7A4cOH8f7775szfhqEsUvGm4atMTpF4yuKI7Zksp3UV4d1JSUlGZ8VpqkYjfNF8SRuRsJCCDdFKQ4cOGC6F7g4sg2SufXx48crStHCzIz33nuvoR6BI7rvvvturypqpRslja8YsWCai8ZXTOH4Knw/szuE73ealUlY+D4SFkJ0MEVFRaZ7gXl1wuI2Ril8eXFxBvTxYOqDUR4uVhwcxgFirE3wFhiZevXVV42YpGEXLbr9wTXVLixYZ0FRLfHs20hYCNFB8AuVY7pXr15tzrwZpZg1a5ZpLfSmxdEdfh7btm3Dpk2bzDHkWT6jFBRk3gTHnbNzhQWnLMzlMDGmcfwBtkvTj4MpIM4/SUhIcPcuCRciYSFEB8D8MqMUbLkjzKfTY0FfsC1Hd7gY2ztlaBrFCa7etiDT6GzVqlXmd9aCcKqqN7iAOgsW1LJ+iAWc/Azofe/b+M87Wwg3wDNsOg9yUamsrDRnbTNnzsSkSZMUpWiBkydPmsJWHjd2EnCCK1sxvSmMztefHRGMuBC2W7JzxR9fe6ZD7MKC73/hu0hYCOEiSktLsXLlSpw+fbphKBOjFN4wBMudsCWRQow5eftxY+rD22pQmMJhlIrpL0JByZoQbxJGzhYWTAMy+sRUoDfOPxGOIWEhhAvOUo8dO4YPPvgAFRUV5ux0xowZmDJlil+eqbaG7OxsU6DJwWuEDpSsQ/G2eRkUR2+88YY5O6eQ4Gh7uqf6MxSGHPvOFltGLgYNGuTuXRIuQsJCCCfCFkK2QzKMT5KTk02Ugh0AonkxxjoEWpmzuJHzPViHwKI/b5xZ8sorr5guFtZR3HvvvRgwYIC7d8tjohZ8nSm4JCx8FwkLIZxY9U/TJi4sjEzcdtttmDp1qtedbbtDjC1fvty0ItqdGtl+S+Mob4OtsDS+YucDC0xpfOVt3SsdJSzUduq7SFgI0U4oJCgoKCwIoxOMUjBaIZqHYoKiguKCAowD11jg6I0LzrVr14zxFTuAoqOjjfGV6mluhp0hLMRl/RHTXt4y00W0DgkLIdoBUx5MfXBh5GLI4jxGKhSlaB5Obl2/fj127dpltrkAM2VA+2dvhAWJTH+wKJH/FooKigtxM0wNMb3FgmZGLSQsfBMJCyHaAIsyWZxpt5bmYsIoBTsYRPOwMJMFmjxjJYxQcOiatw6norjkv4e1IbQY/8QnPmHGhYvGoaW3XVhQhAvfQ8JC+DQ1dXXYfCodey9k4EhGNjLyi1BXZ0VocBD6JydgaGoypg/sheHdkx0Ov/NLkW2kDOfyPuz2oL20Lxoe8fhtOZWOPReu4OiVbFy+Xthw/PqZ49cF0wf0wogeXVs8fsypHzx40LSSsmuCiy9rKdxV2Mj94b9r+9mLOJZxDedyrqO6tg7BgQHolRiPYd2TMbFPd0zu1xOBTXTzcCot02B8LP47OLLdWwVSRwqLnLpAHEnPxdZnX0N6XiGqPjzuaYlxGJbK494DU/o3fdyFZ2Ox8RPRgRQXF5uBQXTUU6hQuIqqmlr8c+t+vLTjIArKKhAUEIBaq/Wm23AZDAiwoM5qMyLjSzPHY8Gw/k0ukDRq4qLIyZqE7oGMUvjiVEoevxe27cdL2w8i34Hj169LZ3xxxngsGjGg0ePHCA/F2IkTJ8x2r169zLFzx3eA1WrDsn3H8PyWfUYocfGi58THvwjt/+bkmEh8dtoYfHLiSAQF1i90/NrcvHmzuRC2ktIRVO3EzR/3t/cfxz8278Wl64WwwAabeRc1ftyToiPxmamj8dDkkQhWatEjcHT9lrAQPseRy1fxg9dXISO/EI6+u7kW8raMXvz87rlIjOp0098ZtqXZEQvz7P4KNDzyxSjF0Yxs/Ofrq3DpeoHjx4+LLYDbBqSZ48dF4cb6g7feest89rnw0peCx88dBZp8Tzzx+mocuJTVsM+OMjAlEb+7fwF6J8abuhq7gRfD+fQp8caC044is6AIT7yxGvvSM1t93AckJ+C3Dyw04l+4FwkL4ZesPnoG33uVoWnA2oa3dmCABXER4XjhS/eZcDijFBxtzhA+ocEPz7R9tYVw7bGz+M4r75lv/ro2Hr/YiHD884v3oldCnDmj37p1qznD57Gjg6a7IjwUTJ//xzJU1tSYKEtb/m08m76/ZyyqMtPNdYxSjB071gV76zscz7yGz/99Gcqrq9t83BlVeurTS0xaSrgPCQvhd2w+dQFf/9cKs4i1501tXxx/f8dk7NywzrxnycSJE83Ztq/m0LeeTsdXX3zHKccvKiwU9yYFozg701zHGR8LFy50m43z2ew8PPTMq6iorm2T4LTDs22G8GeHVeLL998lk6cWOJ9zHQ/+76sor65p33G31KdInv/CvRid5nupR2/B0fXb9+K4wi/JLSnD91/9oNlFsSL7CnK3rUb5lQuw1dYiJLYzYkdOROexN1em86yqoLQc//naKswIKUd8fJwpMmQPvq9yvbS82eOXufIVFB3b2+T9+33tJwiOim04fkXlFXj7UikWRoXijjtux7Bhw+AuWJD52CvvodJBUZG7Yy1yt3yA0IRk9PnC92/6m+3Dy8HAOPTo3ceFe+0bhb/fefk9VNQ0LirKLp3DpVf+t9H7pn3qm4joltawzbvzffXYy+9h5WOfQWSY5ox4MhIWwif4xfL15gusqWWjNP00Mt78O8K6dEPi5HkICAlBdeF11JYUNXp7linm2oJQ170fvvKpe83YZ1/mV+9sQFl1dZPHL27UJHRK63fL9VdXv4mQmLgGUWGHRXnXbUFIHD/FraKC/G3jbqTn5DsUhakpLkTezvWwBDf3eluQX16F/1m1DT9aMsuJe+pb/H3TXpy7dr3F4x4/ZhrCut6cWgyJu7WeguKEAvi/P9iKn901x8l7K5yJhIXwehjm3nDifJN/r6uqRObKlxHZZzBS7/oMLBbHK/e3ZJcgIDDI58PVa46dbfY2PHu88QySlGdcgK2mGtGDxzR5vxd3HsFnZkxwW1V/WVW16Q5yNAh/beMKhKf0ZAsD6irKmrwdF7nXdh/Bl2dNuKXQV8CkPv6xZZ9Dxz2ie29EDxzh0OPyuC/bewyPzpqILjEfFQgLz0K9UcLreXX3EZPXb4qiEwdQV1aCpNsWGVFhra6CzXZz62RT5JWWm9oNX+a1Xc0fv+aOK8/eYwY3PbWTraobT7rv+L178KRpnXWEssvnUXzqCJJnL3H48bnIiVt579ApVFTXOHx7in+btc7h27+5t96YTviAsHjyySeNS15UVJSx3mV1PM2ChHAXrAn44PDpZqvNyy6eQUBoGGpKi3Dub0/i1B8ex6k/PGHC+Nba5r/8uOC2dDbv7bx/pPnj1xi2ujoUnzqM8NQ0hMTGN3m7AIsFq4+cgbtY5eBz26xWZK99C3EjJiAsKcXhs+f3D59q5x76JjzujnbfZr3/Kk7/zxM4+V8/wMWXn0LF1QwHjrvWHZ8RFmwd+9rXvmb8/deuXWvc8zg0iHMShHAH2UWlKKqobPY21fm5ZuHIWPY8InsNQOpdn0Xc8PEoOLgDWe+92ux9ueAevnwVvkpucakxEGstpemnTKqguWiFfRE4knHVbaKTrY6OSCa+F2qKC5B428JWPUd6boHDERF/gcf9WGZ2ix4olsBARA0Yji6zl6L7PZ9D0m0LUZWbjYv//osptG4Oeqww3SI8k1Ylj+k6eCMvvPCCiVzs379fnu/CLZzJzm3xNtaaalMLEDdqMpLn3m2uix4w3Jx1FxzaiappCxAa3/QUyiv5RWbxoI21r3E6O69N9zNpkIBARA8a2eJtswpLzCIQEdKxbbpXP3zelqitKEPu1lWmqDcoonV5ewon1qgM7talHXvqW+QUl6G0srrF20Wk9jIXO1H9hiJ64HCc/8d/I2fze+j5wJebvC9FCwtDacUvfKzGgr2shMY3TcFpf+x9vfEihLNw5AssIKh+QYseNOqm66M/PNuuyLzY7P154uWrZ0ellVWtvg9rVErOHjfRn6BwxwoXy6tafp2cTamDz8nW0sDwCMSPnerS5/EXSqta/56yExKXaARG+eVzJsrYHGXteB7hocKC3vrf/va3zQCmoUOHNluXQUMN+8VXHQuFe3Ck6DAost7IJahT1M3Xd6o/O62rbDkVwJkYvkhbZlsUnzlqIkAxQ5ruBvk47hgmxfqOlqjKzzVRK7Y81pQUo7ow31xsdTWmmJC/N9cdQgJl5X0Tga3oumqM4OhYE01kpLE5Atr5PMJ1tDm2y1qLY8eOYdu2bc3e7vHHH8djjz3WsM2IhcSFcBaJN8ykaIqw5FRTwEnPitDOSQ3X15bUR8+CIpo/6w4NCkRkqG/6WHRx4Pg1lgYJCAlFVL8hDt2eUyvpxNnRJEa3HE0xPiY2G7LXvQ3w8jHOPfMrxI+dhuQ5dzX5GElqe7zluLd2HsiN0F/GEhRkvGac/d4VHiwsvv71r5tJhVu2bEFqamqzt6WFr7tsfIXvM7BrYsMAsaaIHjgS13dtQMGR3TeZPBUc2cVTdkT06Nv8c6Qk+ez45gFdE82ZvaN2y7XlpUakxQwajYBmTaRufg77VNCOJCY8DF1jonC1qH5wXGOEJiYj9e5HGk2PMOXTZc5S49DaFJ1CQ5AaF+O0ffYFeEy6xceY2qSW3ksfr2mpvJZZn2brPbBZv5mw4CD06HyzKZvwUmHBat9vfOMbePvtt7Fp0yYz+lgId3+J9U1KwNlrTRchhienInb4eBQe2YMrVisievQxOVy2S3aeNBvBUTHNplpGpznWfuiN8AuaUyNPX8116Ayz+ORBYx4VM6T5bpAbj98YN852GNs71bSENtVOy4Utuv+tzqD5e7eYn439zQ4F2cgeXTXVtBHG9UrF1cLiZtuYryz/FwKCgxHeLc28DlV511BweJe5rsuMO5o97iN6dPXZ9KQvENDa9MdLL72El19+2XhZZGdnm0tFRevb1YRwBgUFBRjcqeXAa9f59yFx6nxUZF1C9rrl5syoy+wl6DL99mbvxy/Ge8Y2XUPkC9w/YZjDYeui4wcQGBGJTmn9Hbo9j9/dbjx+fO3aMlHTERjluW+8e+3KPZW7xw5p8bhH9R+K2vIy5O/ZjKtrlqH41CEj5Hp/9j8QmtCl2eN+v46770Qsnn76afNzxowZN13/z3/+E5/97Gedu2dCNMP169dNfc/hw4cRYLUhEFGoa6FnnsKCF0epP9tONePTfZlpvbohJMCCalOF3/xZYK9Pf6tVx29kjxT07dJ0KsHVjO3VDb0S43Apr7BV0zXTHvpas3/nUeocGYGZgzSIrDFG9UxB36TOuJCb3+Rx5/C/jw8AbAke97hO4Zg1uPn0pfCyVIgQ7iQnJwdbt27F8ePHG96PA/r0xpfju+F/tx126nNZYMETi28W0b5EXV0ddu/ebdKawwKA/dZwpz4+X54f3jkT7oRpip8snY1HnnvTqY/Ld96Pl852S+2IN1B/3GfhM397w+nHnYPfQoLcM3tGOIbvOf4In+Tq1aumWPjUqY8slPv3749p06aZAmKr1YY9mXk4eCnLaaHvr82ZhH7Jt05Z9AWuXLliCrCvXbtmtmf06g5rZRiOZOY47fg9OnuiKdx0N+N7d8eDE0fgld2HW3SDdATm+OcN7Yc5Q3TW3BxjeqXi4Smj8NKOg0477rMG98H8YY6l4YT7kLAQHr8AUlCcPfvRvI7BgwcbQZGc/JHrHgu5/vjQYjz8zGvIyC9s9+J4x8iB+ML0cfA1WA+1fv1645ZLwsPDMXfuXIwcORJ3l1fi4Wdfx+XrBe06fgxXLxwxAF+ZOQGewvdun45L1wux89zlVqVEGlvchqZ2wS/vnefU/fNVvrNwGi7lFWDrmUvtinjzuA9KScRv7nM8lSnch8XWwfkN+ljQKIuundHR9cZFQnycixcvGkGRnp7eEFqlERsFRWJi02fB+aXlePSF5TiWWX8m3hrsbaufmDAcT9w506daTPkxP3r0KNasWdMw24digqIiIiKi4XacG/Loi8txNCO7zcePhXUMV3va8aMt+3++vsoMlWurz0LPiCC89t0vIio8zAV76JtU19bi639/A9svZX941FvfzTGhT3f8+eHFiHSDH4po/fotYSE8Br4VL1y4YATF5cuXG5whhw8fjqlTp6JzZ8eKAGvrrPjn1n3469qd5uy0pTNU+yIT3ykcv7p3HqYP7A1fK3R9//33zbElCQkJuP3225GWltbk8Xtx2378ec2OVh+/X9wz16MLGvke40jvX7yzocFm3ObA2TJNvkYEVaKnrQKzZs3UbKRWUFpaiqee+l+cKavBYVskKmutrTru31s0HQ9MGK72Ug9AwkJ4DXwLnjlzxhRlZmZmmusCAwMxatQoYxkfGxvb5iFUb+w5itd2H0Zhef0E1KAPz6JtsDWE+/skxePhyaNw+8iBxhfDV6itrTWdM7ywUDMoKMgsiJMnTzbHtyWyiz48fruOoKC8osnjx66LT00ZhTtGDvKa48eJuMv3n8C/dxxEZkFxQxcL/+O/qu7DORWJUZ3w0OSRpmU288I54+HD6NkjjzwiB2EHP9uvvvqq+XwzdXn/Q5/CysOn8NKOQw0GWk0d909OGmHahROiHJtHI1yPhIXwePjWO3nypIlQ2IsIufiNGTPGLH7Oen/wy+piXgFOZOYg43ohaqxWhAcHmzbIwd2SjDWwr5kcMYX03nvvmWgF6dOnDxYtWtTswMDWHj8KsiGpXbz6+PE9SGHB8epmBHptLYIDA5GWEIch3ZLQPT72pjPlt956y6SUKHa/8pWvyFW4BQ4ePIgVK1aYyOOXvvQldOnSpeG4ZxXyuOfgQk5+i8ddeAYSFsJj4QA7zplhhCIvr94xMyQkBOPGjcOkSZPQqZPOUNoK6ydYR3HkyBGzHRkZiQULFpiCV29d/D2JyspKPPvssygsLDQpurvuanqGiL/DY0Tvo+rqasyePdukM4V34+j6ra4Q0WEwHM8Fj6H5/Px8cx3P+CZMmICJEyeaDgXRNnh+cODAAaxbt84sfoRCbdasWQgLU6Ghs+CxvPvuu40pIN/LjARRYIhb34+MVFBUsB2cEUjhP0hYiA7J9TMkun37dqN0CUUEoxNc/LTwtQ+mkehJwdZc0rVrV9xxxx1ISfHdGSfuhLUV06dPN8ZiTDdxOy4uzt275VHs2bPHpOOY2ly6dKlJhQj/QcJCuIyamhrjl7Bjxw6UlNRPmGSag2cvY8eONekP0XZ4NsjFbdeuXeYMkceTEQqKNX2Ruxa2PZ8/fx4ZGRmm7oLFnDrm9bCuh5EzwnZmR7u5hO8gYSGcTlVVFfbu3YudO3eivLzcXMd8HDs82OkRHBzs7l30ek6fPo0PPvigIQI0aNAgU0uhuqWOgSKCKZFnnnnGRIo2b96MmTPda1/uKfVTy5cvN1FKTr+myBX+h4SFcKqrI2dP8GLP87N6nkVbNGNypMVRNA+FxKpVqxqszXl8Fy5caOzNRcfCY8+U07Jly0whMustevToAX+G6U4KLdZOLVmyRAXDfoqEhXBKJwLD8cyrMjxPGP5kuHjYsGEKETvpTJCCbePGjSbFxGPKGhXm+hUBch90gz137pyZssuUCFtQ/bVmKDs726TmCKNn7B4Q/omEhWgzrJtg/QTrKLjYkaSkJGPCxNC8BIVrBoaxWJBnyjzWwv0wYkSn2IKCAlPMyRSJv52ps+OLKRAK4AEDBmDEiBHu3iXhRiQsRJvC8Qx5sr2RXyj2TgQKCn6p+NuXqqtgOokDw/bt29fQSTNnzhxTp6Jj7Dkw7E8x8fzzzxt/lr59+/rdwspIBYUv585Q9Or96d9IWAiH4RkZc8kM+/LMxH72TEHB/LK+TJwDOzy4QK1evbphYBgXKlbYyzzMM6FXA4s3N2zYYOay8HPRFpdTb42o8USDcAYNTdmEfyNhIVqE7pgUFLQythu1coAVBQV/SlA4DxqHMZzu6MAw4Tmw64ktqJcuXWpoQfX1gmWmQJkC4fcC66no8CqEhIVoEoY2KSiOHz/ecB3DvCzK9Pfqd2fD9jye9fF42weG8TjT84O/C8+HNUW0+GYLKofpMT1AK2tfhn4V9K2IiooytSZCEH1jiVvIysoyg8HolWBn4MCBZqGTm6NnDwwT7oWdEIsXL8Ybb7xhrOv5WvpqtInvW3aCkTvvvFOW/KIBCQvRACvbecbM9jk7Q4YMMYLCPpVQuHZg2Pz5880xV3rJe2E6gAW2tLHnmHW2oPraosvC4nfeecf8Pnr0aBPJFMKOhIWfw9zoxYsXTYSCPwkXNQ5WorEVc/zCuWhgmO9DHwfWWrBmhq3C9957r0+JRRYWszuMJmHz5s1z9+4ID0PCwo8XN0YmGKHgvAN7jpgOmRQUGqrkuroVpj3sxzw5Odm053Xr1s3duyacCOe23HPPPfjHP/6BEydOmOgFz+x9AaZIDx06ZH7ngDG22wpxIxIWfigo+MXACMXVq1fNdaxc55ceq9rlluca6EjKeRJ0KGWrLhcetieOHz9eRmI+CuuRGIViZIo27Cx49vYIIGf/vPvuu+Z3Or/27NnT3bskPBAJCz+BixnPnBihyMnJMdfRCppTRvkFwapu4RrOnDljvA00MMz/YFcPW1BZ6MgW1M9//vNe3YLK9zFrgyiQKJqEaAwJCz8QFPSfoKCwdx3wbJlnyhQUdMoTrqG4uNhMILUPDGM0iN0eGhjmP7CugukCtqAyQkgDLRqdeSM0bWPrOf9NbKtVG7RoCr0zfNgXgQ6ZbHkrLCw017EwcOLEiUZU+FqVuqeJObbhcWAYUyBMdfC4c2AYRZ3wLxiZYjvma6+9ZmbrsAW1d+/e8La5QKwNIjTGU9u5aA4JCx90wmOhGM2WeMZMGJVgdIKdByq0ci00RmIXACc9Elo70zlT7br+DX1gxowZYwb20amSLajeEi1kXRbrKtjBxJlAbD8XojkkLHwEnhlzWNXOnTtRWlpqrmPdBHO8/ELTaO2OHRjG6BBD3hoYJuzQo4QtqLTI50J9//33e8V7gycqZ8+eNbUhTOt4c42I6BgkLHxgQdu7d68RFBUVFQ25fLaMsnVUeVDXn80x78y+frugowcIe/s1MEzcCMU9p6CyBZV1N4xesHja0wcP8r1NWKyZlJTk7l0SXoBWHS+FIoKti8zl202WaAFNQcGFTWcVrofmR6ySZ9U/6dy5s0l79OrVy927JjwUphI4P4SOq1yw2a6ZmJgITxXNdNdkNJStsqwTEsIRJCy8DLZ6sQCMIXd+4Am/mJj3pBW0PBE6pjCWrwG9QDgwjCKOx58+IIoQiZbgAk0xysuyZcvwhS98wSPfN7t37zapG0ZalixZou8W4TCe924WjcJCTC5mDJ9yYbO7NnJBoy+CN+RqfQHanrM6nnlywup+tpAyWiGEI/CzyoWaLah0YmVtDusvPAm+v7lfhGk9DcQTrUHCwsNhqyhbRmmhy7NjQvtntnz169dPgqIDI0Vr1641LbyE9RNcDIYOHarXQLQaFlZTXLzyyismpckhXmxD9ZR2aQ5P4wkM94nF30K0BgkLD4VmVhQUnHzJDzphnpOCgmfJWsw6Ls/MqnjaMtuLY1lwxzy5BoaJ9kCjNLaAs/iaC/mjjz7qEQW//N7Jysoyren039B3jWgtEhYeBu22+cGmyx0XNUIhQUEhX/6Ofy2Y9uA4eUIvCg4MS01NdfeuCR+BLclMr+Xm5mLFihX4xCc+4daFnO6gnGlDmOKT7bxoCxIWHgI/0LTdPnny5E1nNKyh0ELW8SZj/HJlCy+jRSxe48CwCRMmqIBNOBW+tzgF9bnnnjMzZRi9oDOuO2Dqg+ZdfM+zbmvYsGFu2Q/h/UhYuJkrV64YQcEvFTv8UFNQsDVNdCx8HTjfw26DTsdEDgzT1FfhKhgJY+SCE1DZhpqWluYWvwha0DNKR0dQtk0rBSLaioSFm2AbF9sVL1y4YLb5IWYhIH0oZELjnq4bfrHbI0YUEgsXLsSAAQPcvWvCD2CU4ty5c+Zib0HtSLfcjIwM03VGFi9e7BG1HsJ7kbDoQFgzQSHBCAWFBWFonYZWFBRqWXT/wDAKPM5V0cAw4Y4pqE8//bSJGrBYmMK2I+D7nsWjZMSIESZKJ0R7kLDoIEFBr31GKDikitBUiZbbFBSxsbHu3kW/hK8FizNZ30JYy8LiTA0ME+6AUQKKi3//+99G7LIFlS3lroZt1LTuZqEm035CtBcJCxcLCobWGaGwT7ukwx77wjkcTBXX7oEW6Bs2bDCFcoRto3PmzMHo0aOVVxZuhWKCRcJ0vaSdNqegRkZGuuz56P5pH5zH1lK1UAtnIGHhovA6B1NRULCNjDCsTv8Dhtld+UUhmhd6J06cMLUUNw4MY+GcXhPhKVDksgWVrpwUFw8++KBLBC8FNltcCb+bPMWgS3g/EhZOhM6YNLSiDwUHVBGazPAMhBdWWwv3wFAvB4axOI7QopiV7/QIEcKTYFSTLah/+9vfzPuV0QtXDACjwGbRclxcnBHXQjgLCQsn9X/TcpuCoqioyFwXHh5uvgxY7a3wonvFnn1gGF8n1rawroUXTxz8JIR9sCBndFAMs5CTLaicDeQsOLbdbk/Pug4VKgtnom/WdhopcSgYF66SkpKGAizWTzC0qA+rZw0M4zhzRinUfSO8AX6HsAbi9OnTeOutt/DFL37RKS2onHuzcuVK8zu/qzgqQAhnImHRBqqqqkzBE50Z+SElLMTk2OxRo0Z1aP+5uJXy8nJT6c4oEtHAMOGN8L3Kgkq2oLJWi+ZZFMbtrTOi2Ob3FqMidJQVwtlIWLSy2In5Tl7sA6nYKsqwOvu/FVp3L/zSpJigqLC/PuzA4cAwpqaE8DZYl8VUxUsvvWROZtg10h7TtqNHj5pONfrn3HXXXfrOEi4hyJsXkfPnc3D8ZCbOnr2G69dLYbXZENkpFH37dMGA/skYNqw7goMDnXIGzNHG7C1ntIIwnE7bbZ4FM28vHKO2lgWuGTh9JhvnL+SgpLQSARYLOsd3Qr9+yRg0KAX9+nZpdWShsYFhPLvr3r27i/4lQnQM7NZgNxkjpOwS4RRUjl0n5eVVOHT4Ms6czcbFi3moqKhGYGAAunSJQf9+yRg+rDu6dYszt2WhJms2CIcaamSAcBVB3rgwrV5zDG+9vRfpF/PA9Yfqu66ufrR4QIAFm7ecgtVqQ3R0OO5cPAp3LRmDuLjWW9SyJZH1EzxTYD0Fod02BcXgwYM1kKoVFBaWY/k7+/HOuwdQVFRhXifC14nwy/CD1UfAga49e3bGPXeNw/x5w1oUhnxdWJjJ18k+MGzGjBmmcFavj/AVZs2ahfT0dOOHw0FhM2fejmVv78Oq1UdQVcWi5ADzWbJPROa2/TuR4uKeu8bi4sX6E6OUlBTzHSaEq7DY7O/EDoKqmXMY2D3RWoMonuE++buVuHAhxwgKR/acC1h4eAge+/YCzJg+0KEzYe4bF6oDBw6YTgJCdU+VzzCk8vStY9PmU/jDHz9AeXl1g5BoDvtrm5aWgCd+sBh9+zbuhEk3U56B2QeG8bWhDbIGhglfhEXIzzzzLC5esuHi5WDwW6jOgc8TvwP5uYuLrcPgQcC3vvllJCQkdMg+C9/C0fXbayIWGzedxG9+u6JBTDgqh/iBYrjwl79+B4cOX8I3vz7PqPmmvA7YMso8Pc9+7TbPFBTMbUpQtA4e+788tRbvrDjgsBAk9ttlXL6Or3ztBfzn9+/AnNlDGv7ODhz24NPsivANTkGhGQfCl+nUKRoZmYm4cPE6PyUO388u5gsLA7DvQBCu5VRBukK4kiBvOeOlMGgr9oXq3ZWHYK2z4bH/WHCTSOCZAAUFza3sARz2jVNQ8KcERevhcfzzX9ZgxcqDH263/jHsZ2O/+e275jWYOWOgseGmHbd9YBhTHkx9qLVX+DLV1bV44kdv4vyFAsb02vQYNlhQU2PFd7//Cv7w3w9i0MAUp++nEF6RCrlyJR+f/9I/UFNT57R9+O5jC7Fo4QhjmUvbbdpv22FkgvlH9Xa3D+Z+f//f9YVizoBRpvlzolBWltMQSWJxpjNNg4TwVP73mfVY9ta+hhOf9sDUSGxsBF54/ouI7CTzPuFnqRCG8H77+5UNaYmPU1Z6DekX1qGkJBPVVaUIDAxGRKck9Oh5GxISBzX5uAzPX806hitX6u2d7fl5Copu3bq55N/iT+TmlZhj3BTFRRnIvnoABQUXUFlRgODgCETH9EDvPnMR0Smx0ftY6+qwdXsBJk0INbMU2EaqSJLwB44du4I3l9UPzGuM2toqZFzaguLiDBQXXUFtbQUGDr4XXVPGNPm9ymLqp5/ZgO99Z5EL91z4Kx5dNr9j51mcOJmFurrGVXplZQHq6qqQ3HU0+g24Az17zTLXHz38L2Rd2dPk41ZX1WDDpovm9yFDhpgJgp/4xCckKpzEy6/sRHVVfdFrY1y+tAW5OccRF98H/QYsRkq38SgqTMe+PX9FaWn9FNjGwrglpQEYNXqBcSSUqBD+wrPPbWzoomqMmppyXEzfgLKyXERGOdZCSnHxwaojuJzBeg0hnItHRyzeXr6/oaK5MTonDDSXG0ntPgn7dv8VGZe3ISV1fJOLVE5uEH7zq8+iZ0+JCWfCQlmmQZqrVu/eYyoGD30AAQEfvf2Skodj764/4fLFzeZvjcH3wqrVxzF/3kiX7LsQnsaF9BwcP5HZ7G1CQ6MwedoT5mdx8RXs3/OUQ4/Nz9O7Kw/ia4/OcdLeCtHGiAU9AxYvXmx6oXnWyJ5qV5CfX4qDhy451J54IxZLAELDYkw4sDkYBTl1un4CqXAeO3edM331zRET2/MmUUEiIhJMGsteQ9EYfC8cPpJhUi1C+APr1p9osovNDj9LFBWthZ+n1WuOOqVuQ4h2CQt6zNO++qmnHFPFbYXOjI5SV1eN6uoyVJRfR8albci/fsaE2ZuDH9ZTp686YU/FjZw8dRVBLXwRNga/3GqqSxEc3LKR2Zkzet2Ef3DiRGaD0ZUrKC2tQnZ2/URmIdyWCqFfAC+u5ty5awgMsDhkAHPuzHvIyrTXVFiQmDQE/QYsafY+/LBKWDif02euorYNX4TXsg+hqqoYvXrPbVEQnjmTjSmT+7djL4XwDs6eu9YBz5GNrl1jXf48wn9weY0FLWTt8zXs7SqOUFRUDgsLlhwQFqk9piAxaRiqq4qRk1PvRWGz1rb8HIXlDu2LcJzCgtYfU6Y/zpx6x3SGJKeMbva2LGErLq5sxx4K4R3w5IezP1wNLfaF8KqukCeffNL0vdovrhgK1alTEuI79zWL0vCRnzWdIkcO/0u5Qy+gqqoERw69iKCgMAwd/pCpkRFCCOG9uPxb/PHHHzdmGvZLRkaGQ/eLiYmArZWFm3aSkoahpPgKKsrzmn+O2Ig2Pb5omtg4x49pbW0ljhz8pym0HTHqEYSGtmyYxndEdLRMfYTvw7Qf5xy5mpiYcJc/h/AvXC4sQkNDjUPXjRdH4OApR+orGqPOWtOwcDX3oR04QGODnc2A/l0dKt6sq6sxkYry8jwMH/EZdIpsfNDYrfezon9/uW0K/6BfEwP4nPsc+jwJ5+KxcecBDiwe1dWlt1xntdYZV8eAgHoXzuYWKAkL5zNoYNcWizdtNitOHH0FxUWXMXT4g6b9tDX076/XTfgHgwd3a7HdtD1ERoYiOVnTgIWbizdLS0tx7txHVtjp6elmGmh8fLxT52vEx0di1KieOHz4cpNeFqdPvm3sbGPj0hAaGoPqqhLTXVBenos+/RYhKCi0yccPCQnClCn9nLa/op5JE/siNDSoWS8LdvHk5Z1E54RBqKmpQPbV+kFldpK7jmrS0GfY0FQkJrS+Z18Ib2TO7MF49bVdLd7uSsYO1NZUoqq6vjj+eu5JVFXWt5Gm9phsapga+zzNnzdMLrbC/cJi3759mDlzZsP2Y489Zn5+5jOfwQsvvODUnbtryRgcPHipyb8ndRmOq1n7kHVlt7G1DQwMRVR0N/TptwAJiYObvF9goAXz5g7VAB4XEBERigXzhxtHv6YEYWlJfZvv9byT5vJxmhIWfLylSxqffyCEL9K7VxKGDO6Gk6eymjULzLi0FZWVhQ3bubnHzYV06TqqUWHBx1t8R+OfNSF8drop3/jf/I//w+nTV5ucF9IWwsKC8cI/voikJMfqPUTruHatEJ9+5G8fTqR1ztkQxSDrbv76p0+7NDQshCcOIfvmf7zk1Me0Rys0hEy4Yv326G9ovvn/83t3ICDAubv59a/OkahwEQUFBVix4g30TqN3ifNCrAzXPv79xRIVwu8YOjQV994zzmkpC/vY9Ee/Uj+0UQhn4/Hf0qmp8Xj8B4vhrDTg7QtHYOGC4c55MHETJ0+exLPPPousrCz07BGMaVN7Oe2xf/C9O9CjR2enPZ4Q3sQXPjcdw4d1b3bKqSPw/sHBgfjlz+9RKlj4r7AgM6YPxI+eWGLC4W35YNlFyeI7RuLb35qvYiUnU1tbi/fffx+vv/66cVlNTU3Fo48+ip/++H4sXVLvpNmWQ87XmpcfPr4Ys2c1XTMjhK/DYvPf/OpejBrZug6qG+GIBKaB//v3n8SggSlO3T8hvKbG4uOcv5CDJ3+3Ehcu5JiFypE958JEk5nHvr3ACBSJCueSn5+PN998E1ev1hdkTp48GbNmzUJgYGDDbTZtPoU//HGVGanuyLRa+2vbKy0BT/znYvTp4/pefiG8AbbJL3trL/7+/BbYrFaHvH74HcjP3bixvfDd7yxSV5Vw+frtVcKC1NbWYfWaY3jr7b1Iv5hnFiHWYNgnAPJDZGaF2FikGYj77plgOgni4lqemilax/Hjx/Huu++aKEV4eDjuuusu9OvXeAtvYWE5lq/Yj3dWHDRzYOyRJ7vQYO2E1Wo1r1tazwTcfddYLJg/DEFBHwkUIUQ9mZkFWPb2Xnyw6ohp7WY012qtnxJs/zzZvxNHDO9uPk9Tp/TXiZVoFz4rLOxwt8+fz8GJk1k4czYb+fmlRr1HRYYhLjYQZ8/uR2q3TvjOdx7Th8kFqY/Vq1eb1mNC/5J77rnHodeTwvDI0QwzofTc+RyUlFaaEG18XCf065+MwYNS0LdPF71mQjgAo4CHj2SY78D09FwztIyigqZX/fslY9jQ7ujWLc7duyl8BJ8XFi0tfL///e9RU1ODL33pS+jaVU6NzuL69esm9ZGdnW22p06danxNnN25I4QQwrNwdP12+dh0dxAUFITevXvj9OnTOHv2rISFkzh27JhJfVRXVyMiIsKkPvr27evu3RJCCOFB+Oxppj3XT2Eh2gcjPxQUy5YtM6KiZ8+e+PKXvyxRIYQQwj8iFjcKiytXrqCsrAydOql4sy3k5eWZ1Me1a9fM9rRp0zBjxgylPoQQQviXsGD+Jzk52dQCcGjaiBEj3L1LXseRI0ewcuVKE7GgMLv77rtNikkIIYTwO2Fhj1pQWDAdImHhOBQSNLzi1FqSlpZmREVUlPrfhRBC+LGw6N+/P7Zu3WoiFnV1dTeZNonGyc3NxRtvvGF+kunTp+O2225T6kMIIYRD+LSwSElJMd0L5eXlyMjIMGfeomkYoWCkghGLyMhIE6Xo1ct58z6EEEL4Pj4tLHiWzc4F1gowHSJh0Tjs9KCgOHz4sNlmHQVbSSkuhBBCiNbg8/FttZ02T05ODp577jkjKuh2SbOrhx56SKJCCCFEm/DpiAVhxIILJmsGCgoKEBcne1tCw9WDBw/igw8+ME6lLMxk6kNRHSGEEO3B5yMWYWFhZpYFUdTio9TH22+/bUyvKCr69OljDK8kKoQQQrQXn49Y2NMhly5dMsJi/Pjx8GdodMWuD878YCSHI86nTJmioV9CCCGcgl8IC7adrlu3Dunp6eZsPSQkBP6Y+jhw4IBJfbD1lgZinEhqj+YIIYQQzsAvhEVCQgJiY2NRWFhoxMWAAQPgT1RVVRkHTQ4Rs0dwli5dalpxhRBCCGfi8zUWhGF+f+0OuXr1Kv72t78ZUcHjMHfuXHzyk5+UqBBCCOES/CJiQSgs9u7da4QF0wK+XlPAf+O+ffuwevXqhtTHvffei+7du7t714QQQvgwfiMs2PEQFBSE4uJi493QpUsX+CqVlZWm4+PEiRMNNSZMfYSHh7t714QQQvg4fiMsgoODjaPkmTNnzMVXhUVWVpYZc07PDjqPzpkzBxMnTvT5CI0QQgjPwC9qLOz4cp0FUx+7d+/G888/b0RFTEwMHnnkEUyaNEmiQgghRIfhNxGLG4XFlStXzGAyXylgZOpjxYoVOHnypNkeOHAg7rzzTqU+hBBCdDh+JSx4Fs8UCE2iOEp9+PDh8HYyMzNN6oOttEx9zJs3z5iAKUohhBDCHfiVsLBHLSgsmA7xZmFhT32sXbsWVqvVzEBh1wdHxQshhBDuwi+FxbZt20zEggsyz/K9jYqKCrzzzjs4ffq02R48eDAWL15s5qIIIYQQ7sTvhEVqaqqpPeDinJGRgZ49e8KbYH0IUx9FRUUIDAw0qY9x48Yp9SGEEMIj8DthwQgFR6kfPXrUpEO8RVgw9bFz506sX7++IfVx3333oWvXru7eNSGEEKIB78sD+GHbKTtYXnnllYZ6iiFDhpgx5xIVQgghPA2/i1gQRiyYOqADJ1MK7BbxVC5fvoxly5YZx1CmPhYsWIAxY8Yo9SGEEMIj8UthwRoLzszgok0XTtYoeGLqY/v27diwYYP5vXPnzqbrIzk52d27JoQQQjSJXwoLezqEwoLpEE8TFmVlZVi+fLnpXCHDhg3D7bffjtDQUHfvmhBCCNEsfi0sWAiZnp6OmpoaM0vEE7h06ZJJfZSUlJihaQsXLsSoUaOU+hBCCOEV+K2wSEpKMqPEWbtAccEJoO6E6Y6tW7di06ZN5veEhAST+vDVYWlCCCF8E7/sCiGMAHhKdwhTHy+99BI2btxoRMWIESPwxS9+UaJCCCGE1+G3EQvCKMX+/fuNsOCC7o50w8WLF03qo7S01KQ+WEsxcuTIDt8PIYQQwhn4tbDo1auXWczZcpqbm2vSIx0F/SiY+ti8ebMRNYmJicbwij+FEEIIb8WvhQULNikuGLFg22lHCQtGJ9566y1T20EYoVi0aJHHFJAKIYQQbcVvayzsdHSdxYULF/DMM88YUUEhsXTpUixZskSiQgghhE/g1xGLG4UFB5JxMBnNs1yV+mDaY8uWLWab0RGmPtj9IYQQQvgKfi8sYmNjTV0DayxoSEUzKmdDTwoWaNKjgowePdpYcytKIYQQwtfwe2Fhj1pQWDAd4mxhcf78eVNPwUFiISEhuOOOO1wiXoQQQghPQMLiw7bTHTt2mIgFUxYcrd5e+Dj0pdi2bZvZpicFUx+c+SGEEEL4KhIWgBlIFhYWhpL8Uqx5bSNKsspRVlgGS4AF8cmx6Du6N/qM6ImQsBCHHo9unkx9cBYJ4TRSpj7Y2iqEEEL4Mn6/0tXV1WH3ygM4+XIGMo9ewy6cREBggBEVxFpbB5sNCA4NwqwHp+HOr85H/zF9mnw8plPefvttUwjK1Medd96JIUOGdOC/SAghhHAfFhvdmToQns3HxMQYUyrO6nAnl05k4Lef/gvOHUiHJdACW13zhyIwKAB1tVbM+dRt+OofH0FUXORNAoUjzplSIV27djWzPuLj413+7xBCCCE8Zf3224jFquc34I9f+RvHf5ntlkQFoaggG17ehn2rD+PX7z1uohc8yEx9sGWVcAz7vHnzlPoQQgjhd/jlyvfuM2vw568+1+b7W+usKL5egsem/xTffPFzOHR+n0l9hIaGmtTH4MGDnbq/QgghhLfgd86bhzcdx5+/1nZRcaO4qK6sxv98+m9GZKSkpODLX/6yRIUQQgi/xq8iFhWlFfjdZ/6CAIsF1iZKS6y2OpzHcVzFZdSiGpGIQR8MRWfLrSPMbVYbaivrULi7Gj//zecQGBjYAf8KIYQQwnPxq4jFm/9vJa5n5sNqbbqe4jj24TLOoit6oD9GwgILDmEbCm15jd/BBpzecgEnd55x3Y4LIYQQXoLfCIvamlq887+rmhUVRbZ8XEMG+mIo+lmGI9XSG6MxHWGIwFkcabZbZPlTq1y050IIIYSPC4unnnoKaWlpxlRqwoQJ2LNnDzydvasOoSi3uNnb5OCKiVB0Q++G6wItgUhBLxQhH5W28ia7RbYt24WSglKn77cQQgjh08Litddew2OPPYaf/vSnOHDgAEaMGIH58+cjJycHnsyJHacRGNx8DUQJChGBSARZbh4OFoO4hr83BcXF2f0XnLS3QgghhJ8Iiz/84Q/44he/iEceecR0QDzzzDOIiIjA888/D0/m9L5zqKuta/Y2VahECMJuuT4E4Q1/bwq6dZ6RsBBCCOHntEpYVFdXY//+/ZgzZ85HDxAQYLZ37tzZ6H2qqqqMW9eNF3eQcynP7oXVJFbUIQC3RjUCPjxM/HtTBARYTGGoEEII4c+0Sljk5eUZ62pO6rwRbmdnZzd6nyeffNJYgNovHPjlDurq6l0zm4OiojHxYEX9fRsTHXZsDj6HEEII4cu4vCvk8ccfN5bX9ovd9rqj6RQT0eJtQhGG6kbSHdWoaPh7s88RXZ8yEUIIIfyVVhlkJSQkGBOoa9eu3XQ9t5OTkxu9D22ueXE3nOlx8VhGs3UWUYhFAXJRa6u5qYCTHSH2vzdFXU0deo9Ic/JeCyGEED4cseAY8DFjxmD9+vUN11mtVrM9adIkeDL9xvQ2NtzNkYRusMGGTFy4yYkzC5cQjXiEWSJafA4hhBDCn2l1KoStps899xxefPFFnDx5Eo8++ijKyspMl4gnM+nOsbAEWJq9TYylM5KQinM4hrO2I7hiu4D92IJKlKEfhjV5P4vFgp6DU9Gtb+NRGyGEEMJfaPWskAceeAC5ubn4yU9+Ygo2R44ciVWrVt1S0OlpJKTEY8rS8djxzp6G8eeNMQTjcAERN80KGYkpiLMkNnkfRjmWfmORERhCCCGEP2Ox2ZqYxuUi2G7K7hAWckZHR3fkU+PcwXR8ddwPzPAwZ8E20/iUeDx/8o8I79R8cacQQgjhrTi6fvvNrBDSd1QvPPj43U6NLHD2yA9e/LpEhRBCCOFvwoI89ON7MHTqQOOU6ZTH++E9GDlzqFMeSwghhPB2/E5YBIcE41crH8fgSf1bLOZsCnvE4/7v3onP/OIBJ++hEEII4b34nbAgEVHh+N2aHxthQJHQmuhFQFAAwqPC8IN/fQNf+N3DKtgUQggh/F1YkJCwEHzhtw/jzzt/jTHzRgCW+kFijYmMwKBA8/eQsGAs/NxsPH/yT5jz8G0SFUIIIYQ/d4U0x9X0a9j65i6c2Xcep/edR1lhGSyBAYjvEouBE/ph0MT+mH7fRHSK6eTuXRVCCCE6HEfXbwkLIYQQQrSI2k2FEEII0eFIWAghhBDCfZbe7cWeeWFIRQghhBDegX3dbqmCosOFRUlJifnZvXv3jn5qIYQQQjhhHWethccUb3LMelZWFqKiotSuKYQQQngJlAsUFSkpKQgICPAcYSGEEEII30XFm0IIIYRwGhIWQgghhHAaEhZCCCGEcBoSFkIIIYRwGhIWQgghhHAaEhZCCCGEcBoSFkIIIYSAs/j/w79O4DIl9eAAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from cereeberus import MapperGraph\n", + "import networkx as nx\n", + "import sklearn\n", + "\n", + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1.1,.5,.1,20), sklearn.cluster.DBSCAN(min_samples=2,eps=0.15).fit)\n", + "graph.draw()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "id": "b566c92f-ea69-4c08-afb4-63763275ce0c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", + "graph2.draw()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.13.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/cereeberus/cereeberus/reeb/mapper.py b/cereeberus/cereeberus/reeb/mapper.py index aff5b83..ca208ef 100644 --- a/cereeberus/cereeberus/reeb/mapper.py +++ b/cereeberus/cereeberus/reeb/mapper.py @@ -3,6 +3,13 @@ from ..distance.labeled_blocks import LabeledMatrix as LM from ..compute.unionfind import UnionFind import numpy as np +import networkx as nx + + +#This is a bad but currently necessary inclusion +from asteval import Interpreter +aeval = Interpreter() + class MapperGraph(ReebGraph): """ @@ -270,4 +277,110 @@ def thickening_distance_matrix(self, obj_type = 'V'): DistMat[i] = D return DistMat - + + + + #Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point + def __runlensfunction(lensfunction, pointcloud): + lensfunctionoutput = [] + for val in range(len(pointcloud)): + aeval.symtable['x'] = pointcloud[val][0] + aeval.symtable['y'] = pointcloud[val][1] + lensfunctionoutput.append((aeval(lensfunction), pointcloud[val][0], pointcloud[val][1])) + return lensfunctionoutput + + + #Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] + #Also removes any covers that have no points inside of them + def __createcoveringsets(points, cover): + #creates the list + coveringsets = [] + for val1 in range(len(cover)): + coveringsets.append([cover[val1]]) + for val2 in range(len(points)): + if points[val2][0] >= cover[val1][0] and points[val2][0] <= cover[val1][1]: + coveringsets[val1].append(points[val2]) + #removes unused covers + position = 0 + while position < len(coveringsets): + if len(coveringsets[position]) == 1: + coveringsets.pop(position) + else: + position += 1 + return coveringsets + + + #cluster the points using a number of existing clustering algorithms + def __cluster(coveringsets, clusteralgorithm): + #trivial clustering + if clusteralgorithm == "trivial": + for val in range(len(coveringsets)): + coveringsets[val].pop(0) + coveringsets[val].insert(0, val) + return coveringsets + #execute sklearn clusterings + elif callable(clusteralgorithm): + finished_cluster = list() + coverpointcloud = list() + cluster = list() + for val1 in range(len(coveringsets)): + #alters data to fit with sklearn clustering algorithms + for val2 in range(1, len(coveringsets[val1])): + coverpointcloud.append((coveringsets[val1][val2][1],coveringsets[val1][val2][2])) + #does clustering algorithm + cluster_out = clusteralgorithm(coverpointcloud) + #puts points into list + for val2 in range(max(cluster_out.labels_)+1): + cluster.append([val1]) + for val3 in range(len(cluster_out.labels_)): + if cluster_out.labels_[val3] == val2: + cluster[val2].append(coverpointcloud[val3]) + finished_cluster.append(cluster[val2]) + coverpointcloud.clear() + cluster.clear() + return finished_cluster + else: + print("input not valid") + return list() + + + #Adds edges between the cluster that share points + def __addedges(clusterpoints): + outputgraph = MapperGraph() + val2 = 0 + for val1 in range(len(clusterpoints)): + outputgraph.add_node(val1, clusterpoints[val1][0]) + while val2 < val1: + if clusterpoints[val1][0] != clusterpoints[val2][0]: + if len(set(clusterpoints[val1]) & set(clusterpoints[val2])) > 0: + outputgraph.add_edge(val1, val2) + val2 += 1 + val2 = 0 + return outputgraph + + + #Does the Mapper Algorithm in order + def runmapper(pointcloud, lensfunction, cover, clusteralgorithm): + lensfunctionoutput = MapperGraph.__runlensfunction(lensfunction, pointcloud) + coveringsets = MapperGraph.__createcoveringsets(lensfunctionoutput, cover) + clusterpoints = MapperGraph.__cluster(coveringsets, clusteralgorithm) + outputgraph = MapperGraph.__addedges(clusterpoints) + return outputgraph + + + #function to create covers + def cover(lowestpoint, spacing, overlap, count): + output = list() + iteration = 0 + while iteration < count: + output.append(((lowestpoint + (iteration*(spacing-overlap)),((lowestpoint + (iteration*(spacing-overlap)) + spacing))))) + iteration = iteration + 1 + return output + + + + + + + + From 309f9a5a4545b6a994b7f86f5983036c73a463e9 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Fri, 17 Oct 2025 12:36:42 -0600 Subject: [PATCH 02/16] updated cover function --- cereeberus/MapperTest.ipynb | 27 +++++++++++++++++---------- cereeberus/cereeberus/reeb/mapper.py | 28 ++++++++++++++++++++++------ 2 files changed, 39 insertions(+), 16 deletions(-) diff --git a/cereeberus/MapperTest.ipynb b/cereeberus/MapperTest.ipynb index 4d3fbfb..d75bd50 100644 --- a/cereeberus/MapperTest.ipynb +++ b/cereeberus/MapperTest.ipynb @@ -10,16 +10,16 @@ }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 161, "id": "1ea1cbea-519a-4a31-bf81-9d8e7111cd07", "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_circles\n", "\n", - "number_of_points = 300\n", + "number_of_points = 500\n", "\n", - "data, labels = make_circles(n_samples=number_of_points, factor=0.5, noise=0.03, random_state=0)\n", + "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)\n", "\n", "\n", "val = 0\n", @@ -31,13 +31,13 @@ }, { "cell_type": "code", - "execution_count": 134, + "execution_count": 162, "id": "ac2a2425-8b0b-4683-bee2-8f31c526d5a3", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -63,13 +63,20 @@ }, { "cell_type": "code", - "execution_count": 135, + "execution_count": 163, "id": "daf93fa0-ab2b-421a-9e04-59bd134a7ca4", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(-1.0571428571428572, -0.6571428571428571), (-0.7714285714285714, -0.37142857142857144), (-0.48571428571428565, -0.08571428571428572), (-0.19999999999999998, 0.19999999999999998), (0.08571428571428572, 0.48571428571428565), (0.37142857142857144, 0.7714285714285714), (0.6571428571428571, 1.0571428571428572)]\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] @@ -84,20 +91,20 @@ "import sklearn\n", "\n", "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1.1,.5,.1,20), sklearn.cluster.DBSCAN(min_samples=2,eps=0.15).fit)\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1,1,7,40), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", "graph.draw()\n", "\n" ] }, { "cell_type": "code", - "execution_count": 136, + "execution_count": 164, "id": "b566c92f-ea69-4c08-afb4-63763275ce0c", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] diff --git a/cereeberus/cereeberus/reeb/mapper.py b/cereeberus/cereeberus/reeb/mapper.py index ca208ef..1bc4554 100644 --- a/cereeberus/cereeberus/reeb/mapper.py +++ b/cereeberus/cereeberus/reeb/mapper.py @@ -361,6 +361,18 @@ def __addedges(clusterpoints): #Does the Mapper Algorithm in order def runmapper(pointcloud, lensfunction, cover, clusteralgorithm): + """ + Computes the Mapper Alogirthm + + Parameters: + A pointcloud (as a list) + A lens function (as a string) + A cover (as a list of intervals) + A clustering algorithm (as a callable) + + Returns: + A MapperGraph object as given by the Mapper Algorithm run on the parameters + """ lensfunctionoutput = MapperGraph.__runlensfunction(lensfunction, pointcloud) coveringsets = MapperGraph.__createcoveringsets(lensfunctionoutput, cover) clusterpoints = MapperGraph.__cluster(coveringsets, clusteralgorithm) @@ -369,13 +381,17 @@ def runmapper(pointcloud, lensfunction, cover, clusteralgorithm): #function to create covers - def cover(lowestpoint, spacing, overlap, count): - output = list() - iteration = 0 - while iteration < count: - output.append(((lowestpoint + (iteration*(spacing-overlap)),((lowestpoint + (iteration*(spacing-overlap)) + spacing))))) - iteration = iteration + 1 + #cover(min, max, #covers, %overlap) + def cover(min, max, numcovers, percentoverlap): + output = [] + val = 0 + coversize = (max - min)/numcovers * (1+(percentoverlap/100)) + while val < numcovers: + center = (min*(numcovers-(val+0.5)) + max*(val+0.5))/numcovers + output.append(((-0.5*coversize) + center, (0.5*coversize) + center)) + val += 1 return output + From e3d49a504bb45049c2aefead1f617b25d75fff2f Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 3 Nov 2025 00:33:08 -0700 Subject: [PATCH 03/16] runmapper now preserves f_vertex information --- cereeberus/MapperTest.ipynb | 44 ++++++++++++++++++++++------ cereeberus/cereeberus/reeb/mapper.py | 29 +++++++++++++----- 2 files changed, 57 insertions(+), 16 deletions(-) diff --git a/cereeberus/MapperTest.ipynb b/cereeberus/MapperTest.ipynb index d75bd50..1176641 100644 --- a/cereeberus/MapperTest.ipynb +++ b/cereeberus/MapperTest.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 161, + "execution_count": 1, "id": "1ea1cbea-519a-4a31-bf81-9d8e7111cd07", "metadata": {}, "outputs": [], @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 162, + "execution_count": 2, "id": "ac2a2425-8b0b-4683-bee2-8f31c526d5a3", "metadata": {}, "outputs": [ @@ -63,20 +63,21 @@ }, { "cell_type": "code", - "execution_count": 163, + "execution_count": 3, "id": "daf93fa0-ab2b-421a-9e04-59bd134a7ca4", "metadata": {}, "outputs": [ { - "name": "stdout", + "name": "stderr", "output_type": "stream", "text": [ - "[(-1.0571428571428572, -0.6571428571428571), (-0.7714285714285714, -0.37142857142857144), (-0.48571428571428565, -0.08571428571428572), (-0.19999999999999998, 0.19999999999999998), (0.08571428571428572, 0.48571428571428565), (0.37142857142857144, 0.7714285714285714), (0.6571428571428571, 1.0571428571428572)]\n" + "c:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\mapper.py:17: SyntaxWarning: invalid escape sequence '\\c'\n", + " - The values are integers in some range, [n_low, n_low+1, \\cdots, n_high], although we consider the funciton values to be [\\delta * n_low, \\delta* (n_low+1), \\cdots, \\delta * n_high] for a stored delta\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -91,20 +92,20 @@ "import sklearn\n", "\n", "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1,1,7,40), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1,1,7,.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", "graph.draw()\n", "\n" ] }, { "cell_type": "code", - "execution_count": 164, + "execution_count": 4, "id": "b566c92f-ea69-4c08-afb4-63763275ce0c", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -117,6 +118,31 @@ "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", "graph2.draw()" ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4bff9e8b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from cereeberus import MapperGraph\n", + "\n", + "graph3 = MapperGraph()\n", + "graph3 = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-6,6,12,.4), \"trivial\") \n", + "graph3.draw()" + ] } ], "metadata": { diff --git a/cereeberus/cereeberus/reeb/mapper.py b/cereeberus/cereeberus/reeb/mapper.py index 1bc4554..4492936 100644 --- a/cereeberus/cereeberus/reeb/mapper.py +++ b/cereeberus/cereeberus/reeb/mapper.py @@ -3,10 +3,9 @@ from ..distance.labeled_blocks import LabeledMatrix as LM from ..compute.unionfind import UnionFind import numpy as np -import networkx as nx -#This is a bad but currently necessary inclusion +#This is probably bad from asteval import Interpreter aeval = Interpreter() @@ -292,7 +291,11 @@ def __runlensfunction(lensfunction, pointcloud): #Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] #Also removes any covers that have no points inside of them + #this would probably be better done as a struct, containing a covering set, the covering set's position in the cover, and an array of points def __createcoveringsets(points, cover): + #adds location information to cover + for val0 in range(len(cover)): + cover[val0] = (cover[val0][0], cover[val0][1], val0) #creates the list coveringsets = [] for val1 in range(len(cover)): @@ -315,8 +318,8 @@ def __cluster(coveringsets, clusteralgorithm): #trivial clustering if clusteralgorithm == "trivial": for val in range(len(coveringsets)): - coveringsets[val].pop(0) - coveringsets[val].insert(0, val) + location = coveringsets[val].pop(0) + coveringsets[val].insert(0, location[2]) return coveringsets #execute sklearn clusterings elif callable(clusteralgorithm): @@ -331,7 +334,7 @@ def __cluster(coveringsets, clusteralgorithm): cluster_out = clusteralgorithm(coverpointcloud) #puts points into list for val2 in range(max(cluster_out.labels_)+1): - cluster.append([val1]) + cluster.append([coveringsets[val1][0][2]]) #The position of the covering set in the cover (preserved for distance purposes) for val3 in range(len(cluster_out.labels_)): if cluster_out.labels_[val3] == val2: cluster[val2].append(coverpointcloud[val3]) @@ -382,10 +385,22 @@ def runmapper(pointcloud, lensfunction, cover, clusteralgorithm): #function to create covers #cover(min, max, #covers, %overlap) - def cover(min, max, numcovers, percentoverlap): + def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): + """ + Creates a cover to be used for inputs in the runmapper function + + Parameters: + min: the minimum for the range of the covering sets + max: the maximum for the range of the covering sets + numcovers: number of covers to create + percentoverlap: percentage (from 0 to 1) of overlap between covers + + Returns: + An array of intervals + """ output = [] val = 0 - coversize = (max - min)/numcovers * (1+(percentoverlap/100)) + coversize = (max - min)/numcovers * (1+(percentoverlap)) while val < numcovers: center = (min*(numcovers-(val+0.5)) + max*(val+0.5))/numcovers output.append(((-0.5*coversize) + center, (0.5*coversize) + center)) From 0c2454c72cab774fd5782f38faa901e593f132ca Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 17 Nov 2025 12:21:02 -0700 Subject: [PATCH 04/16] moved mapper stuff between files --- cereeberus/MapperTest.ipynb | 169 ------ .../cereeberus/compute/computemapper.py | 19 +- cereeberus/cereeberus/reeb/mapper.py | 294 +++-------- cereeberus/compute_mapper.ipynb | 494 ++++++++++++++++++ cereeberus/mapper_basics.ipynb | 463 ---------------- 5 files changed, 578 insertions(+), 861 deletions(-) delete mode 100644 cereeberus/MapperTest.ipynb create mode 100644 cereeberus/compute_mapper.ipynb diff --git a/cereeberus/MapperTest.ipynb b/cereeberus/MapperTest.ipynb deleted file mode 100644 index 1176641..0000000 --- a/cereeberus/MapperTest.ipynb +++ /dev/null @@ -1,169 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "b29e007e-a8db-42e4-abb5-d13cd0606919", - "metadata": {}, - "source": [ - "Generate Data" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1ea1cbea-519a-4a31-bf81-9d8e7111cd07", - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_circles\n", - "\n", - "number_of_points = 500\n", - "\n", - "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)\n", - "\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append(data[val])\n", - " val += 1\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "ac2a2425-8b0b-4683-bee2-8f31c526d5a3", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ZQnFP78YqIxPKlf03MO2PBez1M5UUQcCxv88gU670mHl8HAv6pmDH7P149/hjXOshA4OclbUc+cvmYT9Tocak5tIzZ00qmRWo+ASwoEfVljSYofTvtMOjMaP9Qlw7dDvO8+jvQAOYYX/rr06ND4NX/Ql7ZzscWnGSnSP9zek802VLi5EbB/AgZwHwGR3H7CiVSgz6bSybzcUOIHQRoove0uszkaNI/C8I9DGe2noeLu6+FndkLZexmy4ZrqiTURWZGGONQ0E7bVZPlK5TDE361U3wzC4hkHt5v7IjWSo2dkCn8/TMkgZ/P1mY4Bk0vZ8t03ePVEsx1gSW3ovanapg6Jo+7Pcja05jfs8VBh2b3h+NxBkNbFR3ghW3DF75J3y/+2PjpJ0sDUvSau4Z3FGvW3U06VuXDarMic83P1w7fBshASHIVigL0zA1V5M6Bzx1yQOdZUGNv6PqTtX5OF2Eq7b+jY1+48vDy08xuNI4JBX0GuibRK+BGrSTAprR0DqgVCP2qE0DUP2PSgmenTf37Cq5DZX7O7g4MN1MTcDTpDUL/ZYPM46Ogb2TSu2IgvPzW68T5L1HhTO0Nrjs5iydAtIabhy/iz0LDuPx1Wcs6NIgpfnghshXOne8j89JfHjVJceiuLDzquT6EF2Y6QJNM4X4cmL9OYOq98wFvQaarc7ssIhVdiYFl/delwxyFGgu77+R4OPY2tvorXIUBBkL+EPX9Ga2P5QyLcJ6Agfgf6cnRAY54tuHHwk2mKV+tR//+bAAJsX68dswut405rQQ5B/MAvGFXVeZgsnx9WfZNlQwtHbUZgysOBbdiwzBpBZzmMZnQj6fnKSFr9FxzE6gf5DeiwSt19HNxjYqWAUHhkAZoWAzA31N1z/+85a8yJsCGv27p3eF92dfSWWPQ8uPo9e8zkhM6Hw09ji6oNkUmbwmFFt7W5StXwLXj97RuZZJa1XV2lREkUoFWAWpFPQ3pWKchGp+0rlQGrTrNFXbgrbMAsl1abaNOlfVz/O6L8fnN9+weequGOfy7tEHXNpzDemzp8XUg6PiLaXGSTr4jI5jdrLk0V/OnSaTe+TaERVUDKgwGo2dO6Cpe2d0ytOfiQBTdZ0uPDK6m3VGR0GuePXCqjScRJCjC+idMw+R2NBAIFshaRUWeg2mKoxoO/p39XG1H6dI5QIoXDG/QfuifkIhurZZAvD77q9zULV38RHJzwi9q0yuS8fb+/XtdwypMh4/YrVUcCwfHug4ZqdO12p6U1MNe9Vm/26fvR8Tms3Gs+svIx8ju5alg/7G9LYLdAa7Wh2rmHVGRwGM1nEMkfOKp+JXgmnarx5EiWkRBej6PWIaG8eXguXyYsLuYbBTpyCpoEgTREi2bPK+EQZLn9GMj2TITDFQcXZ31FkA8uTKM8nPiCHpU3JQP7D0WILOkZP48EDHMQl0EaX+NfIDi82XN9/1Pj9PyZys+XbNyE1xy9TpRxG4sOtfnNmiXbyXUmSk22ioQoZW6KlClLcbobn4dprUmimIlKj5q+QFmZ5L2yQFdbpUQ/mGpVQBJtqfQfN6yOHAlJYxpPqy/b9VbB2Oqhpb/9UUS67NwP9OTWBN8YZC0l7zL0xmVYoJgV6nVJpUSs/TUCgYntp0IcH74SQuvOqSkyBoLebg8hPMB4wW8YmCFfKhzYimrABh9/xDrJlWypyTKubIL4x6nQ4sO6Zz1E1BLG/JnFhybabWx8kkdMWQ9cwBO77rPV2mtmVl89QwHh4agYIV8qJp37ooXLEAe5zkwvqUHKE9fUkSX1ZyrHuy0GT9avF+PxYdxudXqveDpMRIuqtU7aKwdD48+6Rq/BYEVrlJ62b0p9bX10hBjNoHVtz5H6u+1NXYfXrzhQTP/MmVYp/PPwnaByfh8PYCHugSBUojUu/a5b03VCkz9SdJU0au0T805MJCDc3U56VPnNfWwQaHAjbrfPzu2YcYXmOS0a+FzjV3seyYf3GKXjkvqs6b2325yjhU/dpUr1XAmG2DzS7CbAj0tQ4JDGFalaZWnklMyPGAKiXvqtc9aSBBRSHkMxc9+BUsn5c5MmTKlUGyz7BP6RFaU5QsE0AfYX2XQwHIUzwHlt3UIdTNSTS4MgonUTi18QIu7bke535N2tEYdRESPSZVeo2qhC6oMnNE7cmsMbtBz5pxGrSpxJ4uhlIzyNhQkKrRrhL6LuyiN8hpiieo5+rAsuO4d/Yhu0jSbKlRn7i6kEkF/R2jl/AnV8jOh1Kh1IxNlj1pMrrB0dURvt/9cOf0Q1ZpmqdEDoPEBkgOjvocZ3daHGOWSO8faYrW7lwN+5ccld6JCDT8U7WezEk+8EDHiTd0UdClfmEMNDMi6xSqvLx2JK6EU3QogN0+9QD3zj1iYsAdJ7RChwktIx/XtkYoRfU/KqL3/M56m4xjQyXmrf9qwuTFyMaGKgyl7Ho4CYMcCjQOCgS9X/FpzK/etiILnodWnsSjy0/ZoKhk7aJMPYXWFb++/abTPogGD1RN6pbehQ22Hl15zj7/JWv+ygqVaJ2YY5nw1CUn3tS3b8vWsRICzaZIJ5DWteyd7dEl/0CmiG/MbDC62gc1DK8Y9o9BwTdbwSxMScOQWVx0SIB4Qa+VrI9Mk661c7JD84EN0GFiS8jlphNP5pgPcjqnz6+9kyqToBlIHVt7hrmGe3/xjeH03rhPXQgyYPus/exzG8MBI0KJ/ku6o3EfbhKdWPA1Oh7oEoWm7p2YR1hCcEvrgqmHRyNfqVzsd1IVIeUKKmyh0baoVEoKBdOImgLWqntz2cWKCklaZ+6pV9cyf9ncmHNmImt+NgZKmfUuOUJrMKZrJaW/hq1VaThyLBOS/to2ax+uHSK1E5H1YFKAollZdFskCnofnv3H/s2SNyObwZEJr04EMCf4pNQ7TU34cwkwjrkhm5a0WePpmCyo1DD++qcfNr9bHhnkNM3l654uZD1adbtUY0GMGZXqgGZubx9+UClrAKzyjsrdY7cJaLC2tUK/xd2YJY+xQY7YNfegzhknDRmPrzvLih44lsnFPdcwuPJ4liLXDKDo/Vw/bhu6FxoEr/+8I7elgRalqHMVzc4+K5Sqp0pQXZADBlW8BgcEM1UfjuXAAx3HaOhLPKzaRLx//DF+OxCBIat7o1aHKlrThnSBqdisLAat/BPFqheBYED/U/QZXM32lVkBA/mPaXDxdGYl9ru+/816vgxtZo4NSUxJpVUpjUXBjmOZUnSzOi5mgyPSxozN13dezLPwzYN3cR6jTMONYyR5pju7QOnLo2tPo7FLR6bq06v4MNZzl8KSZskSXozCMZrd8w6xfjKpdTCPDG7sC+7z1S+ykpL65ShI/Pm/jgZ7r1F1o2LREcltyKU6TSaPGPdR7xjdaHQdFhIOJ3fHBK+dUQqLKv+koNf3/dOPBB2HYx7ObL7I3NGleixDg8Iwqt40bHi1NLItg8xlyWTWkPVo+qxpeP3gPQusr+6+ZW7xnKSDz+g4RkEBi4xNRT3rZiQ19c/LJRiyuhfKNCjBgk6zfvXw9+MFaDGkkcHHq9S8LJzTOOlMX9KxaIamyx2BSuxdPV1MUiBCx6BmYb3Cz9GqAzmWw6t77wxyWScXhIu7/o38fWHvVQgOMD4VqfmO7Jp3EPfOPzL6+RzTwQMdxyhCg8PgE60aTRs0g/v08jMrt6/XrQamHhjJrFlI0T9rvsxGHY9SmxN3D4eVjXUM6S2NzBUF0FZ/NUFiUbtTVTYzlUpfke4mx/IgeyFDqnFpsHL79P1IpRZyMjemCjg29Lk9uOx4vJ/PSTg80HGMgoo59InvUgxySGCzMlU37l96jKlivHv8EXPPTWRBk3qdSECYHJwHLO2BaYdHJaryR8thjeHs5qi10IVml781K4MC5fIm2vlwDIe0UA0NWJrtqOoyodDg58WdN/D69AN+Xv4J3h/HePgaHccoKAVIF3NSRNHtRaZE5VYV4p0a3TRlF/MNo/2zdb0IJeTWcnSd2hZ7vdcjKUmbJQ0WXJrK1l6eRnNYoJRY/R412Kw1voUuHPNCrgq05vvsRtT7pg2y+SGzWMLRRTpVbSgkWdY2ay/2c54SOZnNkTapOFoP9PrkzaqSyVKJf5ZMA++j4xhERHgErh64yS7uNCo9tfE8K8+OnQqimU6+0rmw8PK0eH1Jd/xvP1aPUDkYaGPAsh5opLb0SWqoIIcKDUgZpUTNIkarq3ASH5IS61d2JL6989L6OM3KqYF864eVzFWBmsrbZPkT/l4/de6TBjkUHA1VCNKoCfWa24n17hG0hrd80Dq2jqiBWmto4JQcxLiTAt4wzgOdSXly7QUmNpvNlCJoZkVVa1SBqFGHoFQifYxoJle0akGM3zUMLh7ORh+H5LtaZeyO4J+6F/5d07pg28eVsLLmyQhO/MXIxzacgZvH76nsjDRi5HIZ+yxPOzyarf1qIKm5ZYPW6dzf74MasJYS+tzqMn3VFfA2vFzCDF1JUiz2wFGzDj1l/wiUbWBYlXJqwp+LOnNMBZmekhoEFaEQivDoYski3DO4omrrirB3tGVrIJQaii+3T96XDHIaB+n7F56gRI0i8T4OJ3VD6ffpR8bg8r7rbB2YZuU2dtao1LwcmvavF0eYm+4jBaCNk3cyVQA2wFMHpd8H1kfPOR2Z7uaYBjOYMo9mDVufawcFsiOrT7Hz0JYdocEjxeFFfddgY73iOg1lOfrhgY4jyd6FRxAaEqZ1PY6aZ32++CF/6VyRWpMJgdybDSGhsmMcDgUZEiWgmyHbth/Xgq3Bnt58CV4ff7A1NBIET/dLWrZN/jJ5sOX9cpzfcZVZTUVEROD0pouS+yV5u8f/Psf7J590byMC3957sX1Gn2VyjIMHOo4kZ7Ze0qoiET39cn7nVZMEuky5Mxi2Xa6kMTXlpG48Mrij5VDdPaAkE0btJ3Qb03C63v0JMhnCozWYS/H13XejzpUTEz4X5mjly9tvWP3XRvjrKYemdMvH5/+xYpWEQvYpJJ7LTDC1QCkjqlgj7UEOx1J59/gDrh+5o3c7ypI8vvrcYPFzTvzhgY4ThztnHqBbocHYNf8QS53og1Iv/cuNhr+37so0Q6AUEQkyUxVb7D41+t3axgqDVvZM0DE4HHNzfP05k+7P2cMJJWr9atJ9pjZ4oOPE4KdPACY0nc2cm41Rg3h9/x1mdlic4OMXrlgACy5OQdGqUYLMtCJP5pgLr0xD3pJRTgccjiXy6cVnk+6v+4x2sLZJPFGElAhfo0vFkOcbVX29uv8Odg42KN+4NJP3CgkMNVpxnYLijaN3mGSSsTJfsaHKzdknxzPLFN9vfkwgmtZHOJzkgGeWeNpXxcLBxR7dZ7ZnurGchMEDXSqFpLU2T9sNASpnAVoXu7j7mkoPMAGtlZf33UCbEQkLdBo8M3mwG4eTnGg5pCEOLD2WoH0MXvUnarSrFC/PRE5ceOoylUEl/P3Lj2YSW9Qoqwlqmh4eaiVICAfJ2SBlaRBwOEaRIUd6JjeW0BQ+D3Kmgwe6VKYIMbrBdDy99kL3RgmMUdTzc+f0g4TthMNJ5kw9OBI5ivwSr+dSMVaaTDxVb0p4oEtF3Dh6F08MLGeOL1QdeSGalxeHkxohH8RlN2dh7PYhKFa9MDLnyYjiNYogYw7pHlCZXEDV1hVMJibNUcHX6FIRp7dcjBSUlYJJDdEQSIyyKyFZI32SRhpCAo03qeRwUhqkx1qlZXl200CC6P3KjmJuBrGh76azuzO6TG2byGea8uEzulQEKbAborBOa2wdxrXEH6N/Z1YhWfJmQrW2FVl5v1t6PQr9oois+U1TjMLhpDTI7Z6EnDtMaAlHN4cYQa5C49JYfG060mdTyYpxTAd3L0hFLPhzJY6tO6N3ZmbrYINtH1cxk1P6eJDD8o1jd9jzSIro/M4rOtfyKHW55f0KpMnI1xg4HCnou0X+c0H+wciYMx1voTES7l7A0Uq97jVwePUpyW1oZDlm62AW5KiPbXzjmXhx+w1bIKfGbXIvYP5bCmWM6kqZTGAK7H0XduVBjsPRAUnl3T37iLlwpM2aBoUr5ueuBIkAD3SpCGrEbtCzJg6v0h7sKLhNPTQShSrkR1hoOP6qMQmfXn1hj5H/nAZRVDl/29rZIOhnMLsvb6lc+GNMc5RvVCqRXg2Hk7w4vv4sMxWmIKchffa0GLisB0rXLZ6k55bS4YEulVG1zW84tu5sLF85FRQEKcgRl/Zcw4dn/2ndB9nzyAURtTpWQau/mjAvL+6uzeHo5sia05jfc0Wc+8npfEzDGZhxdAxK1uJO4uaCB7oULvG1f8lRXNp7HWEhYaywhNbblNFmZ9HZPns/Cv2Wn83KLuy8IlmhSet1Z7dfRr/F3cz8Kjic5A1991YN36D1MaZKJAhYMfQfrLo3V+UqzjE5PNClYAeCsQ1nICJcEdkicPv0A8mqSyok2TXvIAt0gX7Beis0gwN4GwGHo49rR+5ImgXT9+ztww9MGJ1bUJkHvgqaAgn0C1Q5EIRFxHAg0Be4aNuHF5+wUSa1CFDvnC5o5JklT0aTnjeHkxIhoXRDZmren30S5XxSIzzQpUBObryA4MAQg3rmdEHrdVJtCCJENO5TN97753BSCx4Z3QzSf03DBczNBg90KZBHV55BFo9cP6UuC1XMz0aflEJpM6Kp6oFYu6K1u2JVC6NOl6omOmMOJ+VSpn4JVtGsC/o+0fp5fLUxDcX3ux+uH72DmyfuIdBfdyo1JcLX6FIg1NMGFuiM95RrMaRR5O9dp//BNPq2zd6HT89VZpIuaZzRuE8dtB39OzeD5HAMwMbWGr3mdcKcrsviPEaDSrrR4+YqRAnwDcSyQetwZsulyDYhqpRu0LMWus9sBxs7G6R0uDJKCuTo2tOY1yNuKbMuNDqW7ce1QKdJreM8Th+R7x+8WGFLul88mYYfh8MxjlObLrA+uuhrcTSQ7L+km9laC0KCQjGo4li8efA+xnq9ZiZZqk4x5rSQHJvWjbnW80CXAqEPd7tsvdlILvaHW0PlFuWY/FBYSDjyl82NJn3qMg8sDodjPmhGdf/CY9Y0ToPGAuXymrWl4MCy41jSfw1J0OpkyoGRKNewJJIbXAIslWPnYIsZx8bgr5qTVbl4MWoNjgJf5ylt0G5M86Q+TQ4n1UHyecWrF0m04x1efVLycbomHPv7TLIMdMbAA10y5u7Zh9i3+CgrPqH0Y+l6xVGgbB5cP3IH988/itO7Q0GOZm/NBtRPsnPmcDjG4fPNDx+efoKtgy1yF8uu0p01kO8ffkjO5uia8OVtXMuglAYPdMmUjZN2YsOkHUxzUqluAzj+9xkcW3uGpUJ0ZaSf33yNaW3nY9qh0Yl8xhwOhyAHkIPLj+Pm8XtQKBQoWqUQGvWpg2wFssTYjkTVlw9ax5SNNEsQHhndWTamUe/akinPj8//Y5q24SHhemd0tM+UDg90yRAqD6YgR2iCHKGJbVLLrvSFoRnfq3tvuQoDh5PIXDt8CxObz2HfQ03wotkaraUNWd0LdbtWj5zFDawwhgW76OvsVMiyuN8aeH/xQefJbbQeY+fcg1j11wZWYKJrjV4DPV67YxWkdJJfqQ0HexcdZiOx+EKzwMt7r5v0nDgcjjTfPnixIKcIj6lYRBXPNDilSunnt16x+7bP3AuvT94xBrLR2Txtt9aU45UDN1S6mqIqiEkhk8uQr3QuVPy9LFI6PNAlQx5efKr3QywFNZOHBHKdSg4nMTm88qTax1H74zK5wNbcKZ15ZO1pye84zdaOrzsb5/5ts/YZVsUpABWalMLM4+NSRbtQyn+FKRD6QiQE6ofLViiryc6Hw+Ho59bJe5LBi2Z2tCxBjuPBP/UMRAXVWl90ggOC8eTqc4POZdy2wajcsgJSC3xGlwwpWbuopOCyJAJg72yPKq1Sz4ecw7EEDOpYFkXYOdpCbi1dWSlAgIuHE/uZXA/I665HkaEGn8uLO2+RmuCBLpk0mV7ZfwNrR23GurFbWZWWIj6pS/VEME+JHNg19yC+f/xh8nPlcDjaKVqloOTaOg1ef61aiEnrVWlZXnIwS9eE6u0qMdfyXsWHs39jz/Ck+PbeC6kJnrq0cGhxekKz/8Hr4w/VKE9UfcjTZk0Dr4/eEOSCzgXrOIiqBWgyX6Xbxkk70GN2hxj6lhwOxzw06l0HexYelkxdNuuv6nH9Y/TvuLzvBkQxXKt0129Ny8Da1hpzuy1nhSyKCOMErsLDpNsOUhp8RmfhVVqkbqLRxlOEKyJFWek+CnaN/qyNPCVzskbxUnX06+VpyprZTSli5bANOLf9stlfC4eT2smYMz1GbBjABpvRZ2uan3vP64xCFfKxn7MVzIrZp8az77im+EQjAF2rQxWM2jQA+5cci/d6faZcGZCa4DM6C2b/4qPMxVvbAjaN/ij9kK90bvRb3I3d1y5Hb6OPQV+cTVN2sTU7c2rucTgcoFqb35gdD1VX3jh2h3lG/lqlIJr0q8cGq9EpWC4vNrxcgjunHzAHcht7GybVlTaLKvjdPftA0jNSioLl8yI1wQOdBXN6y0XJKi1KYdBsrFbHKggLCcO3d8bn3Snt8e7xRxY002dLm8Az5nA4+sheKCsGrehp0LY0kyNnA63uBvEYmAoyAWkyuqNsgxJITfDUpQVDZcZS0Gjwp08g+5nW7xLSRB4aHBbv53I4nMSnRI1fmfiDocitZEzwfcLuYZDLDdfLTAnwQGfBZMmXiY3AdEHirtkKqvTx6INLaY34BDsSiyXLEA6Hk3xo0reOwd7K1rZWqNG+MlbenYP8ZWKmSFMDPNBZMI1712GzNl1QYUr9HjUjf289oqnRx6DAWLdLNTbS43A4yQcqWBnxTz/2HdY3wFWqNW6lBs4pmUQJdEuXLkX27NlhZ2eHsmXL4vp13TqL69evj6wu0tzoecmVnz4BzO9p++z9bD2N1tKMMVCVgux2oi9g0+L12G2DYWVj2NIrfTmy5s/M/Ok4HE7yo/oflbD6wTw2KP6lQGadvXeKCCX8vX9i2aB1SI2YvRhl+/btGDJkCFasWMGC3IIFC1CnTh08e/YM6dKl0/occoulxzUkx2pAKvKgasatM/YgPCwiUknc0dWBVUnWbF9Z8vlvHrzD0oF/S25TrW3FOPdVal4OO6oXZm0JL++80flcZw8nNOpVG63+agJHFwemlk4WP7dO3VNVglUuiAY9a8Izs6rCi8PhWCa/5M+Mvou6sirO0fWn69xOGaHEvwdvMUcEz0weSE2YfUY3b9489OjRA126dEHBggVZwHNwcMDff+u+iFNgy5AhQ+Qtffr0SG5smbYHGybuQHhoRAwlcTJDndVxMS7uuSb5/P1Lj0OuR0Vh/9KjWh9zdnfC4n+no/VfTdj6mwZKW5RvUgrrny/Crm9r0WVqWxbkbp9+gA45+2DduK24d/YR7p9/jC3T96BDzr64tFf6PDkcjmXw/sknyPSkJkVRxKcXn5HaMOuMLiwsDLdu3cKoUaMi76OZTc2aNXH16lWdzwsICEC2bNmgVCpRokQJTJ8+HYUKFdK6bWhoKLtp8Pf3R1IT6BeIzdN3695AAJPzqtisjM7Z6oOLjyV7ZOixBxee6HycFMm7z2yPdmOb4+HlZ4gIi2DSX7FnaF6ffmBc45nMoDG6j52qoRyY2no+Vt2fy0aNHA7HcrF3smMiEIZsl9ow64zOy8uLWU7EnpHR71++fNH6nHz58rHZ3v79+7Fp0yYW7CpUqICPHz9q3X7GjBlwdXWNvGXNmvSq/FcO3JR29hXBRlVkfqoLQ6onqepSH/ZO9ihdpxjKNyqlNQ15aOVJFgS1mrWyu0TsX6J95sjhcCyHco30V13bO9thTIPpqGvTGn/80gubp+5GgK+qRSklY3FVl+XLl0fHjh1RrFgxVKlSBXv27EHatGmxcuVKrdvTbNHPzy/y9uHDByQ1P70DDKpu8v8RoPOxMvVK6BWALVOvOBLKtSO39VqH/HvoVoKPwzEMUfEFyp8LofzRDkrv9hADlkNURAkB0IBEDLsBpd9IKL07Quk7FGLoBYhi/P0JOSkDjwzuaPBnLcmahpDAUPh+82ffaxJ13zBpB/qVHcXW6FMyZk1denp6sv6ur1+/xriffqe1N0OwtrZG8eLF8fLlS62P29raspslkSF7Osm2gKjtdCuRNOpdmwnAikotRo3scyygSb+6CT5X0s/Uu41aX5MDiBHvgdCzgBgMWOUDbCtDEEzTfCuGHIfoO5gSx+obIIbdBAKWA+7LAZsyEH2HAqHHaKhD7wz7Vww5CNhUgOjYBwjZD0S8BAQXCPb1ALv6EATDU1VsZh/xHBD9AXkWCPKMJnltnMShz/zOCA0MxYl/zqnaDmRCpK4tDb5jX5fosc9vvmJJvzUYt8Nwm5/khlkDnY2NDUqWLInTp0+jaVNVjxelIun3fv36GbQPSn0+ePAA9eurVL2TA2XqF4drWhf4eflrbeikDyCJt8YWVqXtrx68hSC/IGTOmxHjdw3F1FbzEBGmYH83zXPpwztm22BkzZfwdbPCFQvg/ZOPOtcDaeZYuGJ+pHZEMRii3ygg5Kh6pEE3BSBLD7jNh2BTKmH7j3ipDnIUvKJ/aOh9CYXo0wuw/x0IPa6+XxHz37ArqltkAJRBDDuvCpIeG/QGLFHpA9F/uvr1RbXAiNYVILiOhWCVO0Gvj5M40Nr88HV90XZUM5zZcgn+P34y1aQ9Cw7rHHxTNealvdfx47MPkwdLiZi9vYBaCzp16oRSpUqhTJkyrL0gMDCQVWESlKbMnDkzW2sjJk+ejHLlyiF37tzw9fXF//73P7x79w7du3dHcvqwkZbd5BZzWXI4+geMAhXZa/RZqHr9mmC+ZuRm7Ft0hLl/a0Zenpk9MHRtb3x89hm3T99n9xWtWggN/6yFdL+YRpeSZo4HV2gunnGhANikbz2kZli60GcgEHZBHYSiXTCU3yF6dwbS7IZgnS/+xwjaFHffUY+qgk/wTh2PR0cTANUDF8VHVZBMs09nSksMfwbRuzWdRNwHw69A9GoJeO6CYJVL+/OVgUDIIYg0ExTsINjWAKyLJ8u2oJRClryZ0HFiK/bzkdWn9G5PM7tXd9/yQBdfWrduje/fv2P8+PGsAIXW3o4dOxZZoPL+/XtWianBx8eHtSPQtu7u7mxGeOXKFdaakJyo2Kwsph0ZjTUjNjEHYA2kVN5rbifkKpo98r7lg9fjwNJjkSlKTWCkEdbsTksx7/ykyA+tqclR+BcMWNIdi/quYbM3zcxO8zO1IBSpVACpmvD7QNg5HQ/S30sBMXAlBLd58T9GCO1fKkVMn4mIeOxYAUQ8AcJvAjal4+5VDIPo0017kIskCOLP2RDc466TiyGnIPoNUz+fLicixMDVgHUpwH0pBFnKvHAmJ6wMFJAwdLvkiCBqLbdLvlB7AVVfUmEKNZ4nNfTn/fDsP/h7+TM9ydgzMXIFpn41XW8DzQBpFjf75HiznufDy09ZeuP2qfvsXKhhnJRXStT8Fakdpf80gM24pAKRFYT09yAI1gbvV1T6QwzcAgT9A4jmdHuXA449IHMeEucRZfBhwI9SpgaQ5gRk1lEDNDHsnmomqHUmKgesC0Pw2MFndolMcGAInt98xWZpuYvnQGhQKNpm7aX3eUuuz0S+Utpn7cn9Wp9yQ7iFQF9yVQ+a9vW08zuuqFKVCh35c4WS+VFRVZR7OleznWfh3/KzG0cLSl8DNiJhgGDAwEAnKr5C/NEGUH4y8CQo6xHfykrVeqKo+AEEb4EYfABQ/gTk2Y04PqUYGkLp8AcE52EQBBuIgcvV+9Z2Xgog/B4Q9i9gWz6e580x1jV8/bjtOLDsGKuu1Ig5V2sTV0EpNnQNurLverIKdMbAA10S4+f1U10ZJb0dLSqbM9BxJJBTb6aexIfgDAhOBu9S9BsBKP8z4iQomFD1ZAiMJ4IVzYhe9enAUYEpgpzrjUnohAFBGyBGvIbothgIPacn+FqxSlKBBzqzQ8Vqk1vOxbXDt2PUBJAy08mN5/U+nzJHdI1JqVhcH11qg8xO9bkE03oZLRJ/fP4fHlx8gs+vY7ZrcMyL4NBCT0CQAw6tIQiGfZ0oUKgqJI1dNYhPkJMBsnRA4AZVy0CMwBSfVQulqign9IwBM0wREFN+M7IlcOPoHaZjqa2yUjSg1YkyRxlzJj+pRUPhgS6Jqdb2N1jZyCVHWkUqFWQizV3yD8SQKuPRMXc/DKw4Fk+uvUjUc02tCPJMEJwG6HhUDtDjjj0M3yGl9BIFGUVpwPFPQPlezxqjMciB4IOATJ/gt6izUpNjWo6uPZMg42VRKaJA+fhXDVs6PNAlMSTA3HN2R62P0QfX1t4G984/wsu7MZ0Inl57wYLeoytRLg8cM+LYB4LLNECWKdqdcsCmPOA4EFAapiwhhpyFGLDabKcZAzrXNPsApY+JVykUgPIjINNn1isA9s3ZT2L4Yyj9xkD5vR6UXo2g/DkXosKY1C1HCmr6llI4MmSN7rQBKc7kCg90FkDT/vXw1z/9kC5btIpMASheozDsXexVGSAtigakWLKw9yqdFZsc08G8ER1aQkh7BvA4ADh0ZeojCLsE+A+D6FUbyh/tIUa80rkPMWApRN8/AcXrxDlpKjQJ3qMuGDHlZ0SmCuwRegZZQhog5DiUAWsg/miqOhfFK9XzAldD/F4HYuhlE55X6oXW7/U5F0hB15ez2xP2XpCk2JUDN5isIAnbWxK8vSAJoT990M9g1kBuY2vNFpTJQy7IPxiZcqXHf6++YniNSXr3s/zWbFZGzEkcmP5kwHwtj8hZqlBIsweCVbaYzwm7C9HbPL2QepFlUc3ALA66MNtCSHsWgpz7HiaEU5suMPuvhCC3luNY6Dajn0cV4Qt7rcKV/TciB902dtbM77LbzHawtjG85cZc13o+o0sCwkLDmeN4u+y90dStExo6/IERtSczH7i8JXOhWLXCrN/uy9vvBu3vy9tvZj9njgpR8R1iwEIdjypY47QYsCju84I2q+W5koDIICc14jd0NiAAMsN0avWjUXzZYaL9pV4qtyyPXEWzaV2nk8kNeG8FUlMxXteUZm6DK43Dv4duxsgshYWEY8+iI5jWZoFFZJx4oEuCIEc2GWtHb8b3D6omYfoc3D37CMNrTsLx9Wcjt3VJY1i5uksaZ7OdLycWIQf0bKBgepGiMpYzRfhdExaDxBfNBUfbhc/Qi5ELE5c23aVDCZF67TgJgjJCs09PQKk6RVV3CJRuV/3oSfZc+mKdCDTpY7xI/IFlJ/Dfqy9aK8cpHXp533XcO/cISQ0PdInM/iXH2Buvbc2NPmzz/1wJn6+qBuVStYvC0dVBcn9pMrmj0G8pt1rK0qBGb/1fmwhA6R3zLsHGxGcSn/UYAbCpTm3ECTjuT3WwN6UtUNKP+FMCLh7OmHZoNNY9XYiBy3qi/5LuWHHnf/DI4Kb3T0ypxrrd6LNhHKSjKdW+QK1R0QfvSQUPdIkITeH3LTkq+cGggHd8neqDYWNng86T20jus9uMdswKiZNwRDGCNTgrvXtC6dUESp/eKi1HMWomJsg8DLrIi6GXYt5hW9PEXzdZPPYnAxQfYrgTGB9ITe17J4PAZogcUwo6k/B7o951mKZuaLD+99vRzSFea2k/vlBFr25opvftfZSfYlLBA10iEhYShm/vvuu9vLy485r5Sf0zYTtzNmg/rgVrMyA0OXhyCh688k/U6lAlUc49pUOpRpGMTn37qxqiSQg59BxE3z4QfbpCFNXN2vaNDLvYB66IsTYhOLSloYsJz1gRj1mdElBo93WMgxEqL/GHzt8KsE+iIp1UQt6SOdnMShd0TclTMn79jm6eeopA5Cqxi6SGS4Alsn0Pk/uSmNHRI5f33sCFnf+yKihNb0zdrtUREhSKO6ceIMA3EHYOtvj04jO8Pv1Q5eA5CUL0n6heR0O0QKbxervGvNoE18kQ5JkhWhcHwu9I71D5BWLoOQh21divgjwDRAqSzGrHVCjMlyKkRnMxESShrItC9J8M0aogYJUdCD0NKL4wNRfBoSlgU8lgxRmOdhr1qYvj689JZpGa9o2fiTNdlzZP262zh4/ur9WpKpIa/glKRORWcpSpX0JSwYDSmhpHb3L/pt/pdnTNaZzdcgm+3/0QERYBn69+2DX/EHr+OhRvHpLqBSdB624hhyRmakogeDczJ2VQk7ghs6mAFTF/11t0IRj4taTKR3IRMGfK2tRritoQgfBbQOgJIHAB4DcICDkMhN9gLuqiTw/1bDo4Ec4l5ZKvVK5Im6/o1x5qEtf08ZaqUyzyfsoi3b/wGOd3XmWCFFJVk0361YVHRnetM0Ya1JeoWQQlayW9AwoPdIlM6xFNE1ZuG93zU6FEoH8wJjWfYxElvMmWsBsGpCPDgbDb7CfBmvz5DPh7R9yB0rtLVAVm7AKVOIiAPA9g20BPEKPt0hj49Y5HMJTnBuxqJVI7ROy/e+zZ9L8Q/SYnwnmkbDqMb4mJe4Yjf9k8kfflLpYdIzcOQJ8FXSKtlMhNpX2OvhhadQKmtp6HQRXHolPe/rh+VHsGw9XTBQsvTUGhWM4nFFBrdqyCSftGxPAbTSp4w3giQ2aq22ftZWW5NHKiD4QAIXIWF19mnRyPEjWKmOw8UxNkW8PMQ/UguC2BYFcbohgO8WsJACorFGlkgE05CO7rIHrVBRRvpLe1rQvB4XeIPt0lNsvAnM31pi5tKgFWuYGgdTAcAXDfAkGeFqJXPbXZa1JfIuQQ0l6EINcnOcYxhIjwCDYwjl18cnbbZUz/Y0Gc7VkQFIBph0ahdN3iOvf77slHPL/xii25FKtWCB4ZzLs2xxvGLZDggGDM6rQYf/zSC3sXHVUFNhFwT++Gaq0r4M+52vUuDYGC5bPrBhYZpFKoclIMOQ2l3ygofQep1E0U6kZ766i0jW5kgLUqBcPMVe1p1mWo2v8V5lIuOLTSk/JUAtZ5IQYsk/5qKr8YsD5nBVjnh2DfDIZjB7itgMy2JEDO4Eyn0hJMUxUGpH05xtQKWMcKchT8lg3SPiBicyER7HGpeVG2AllQq2MVVG9b0exBzlh4MUoiQEFtTIMZLN8de9GWeuaeXH+J9hNaYtWwjfFLQYqiZFVVakdUfIHo3UWls6i5D0eAgPkQbapCsCkNWJUEInQ1dcsB21qsoEQDuRmITEfSEMiX7SgEp35AwCpAlCjJDlhJwyIkHCUE0uJk52yAaatdYwius1nhhxh6DaJvL6byYjkkdbN98oGkBG+dvI+Xt9/AysYKZeoXZ0FIitunHsD3m25hcroufXz+Gc08OsOKZmw1iuD3AfVRMJk4HvBAlwhcOXCT+chpQxmhxH8vv+DK/pso16ikylPKyGBHVZzRF5M5UYiiEqJ31xhBLgZh5yCGkWq7qDY21ZTti1GzGaucEFwnxbHugRPNDBcYeCKBEEkIWdSX7jRV4YUI2NWDIHODaFtHVfChM1jYQ3CZpApyik+sCETVa5fQlKXm75gQd3QV1M8IeTZWpalZT+LE5cXt18yA9cubb6rCE1HEquEbULZBCbYe5+TmqPV5P/7Tt36sItBPNfi5tPtfnN9+hTWlN+5TB5YOnwYkAif/OSddaSmKOLr2NLrPbG/0vmm/xaoXRs5fY4oIc9SEXTSgd0xzQQ8HZJkBWU5akAOs8kJwHgPBYycESuXFfpZAzeOGEAGE3QG8SHlC3yxJboKKRwGw+x2C1S+q35yHqZwW4hSXqAKG4DIBgkx1ARSDtqj+DgluDKdj2QKuiwDy6pPnTNjrCj3FRLFF/7Fs8MKJCxkyD602IbJBm7JHmlamG8fuYkzDGWy2pw2mnmIEGsmvxf3XxLEQs0R4oEsEvD556/WKohTm13ffDZ7NaYRacxT5BWO3DTbJeaZExKAdRvqsfYLgOgay9Nch8zwIwbEjBFlcGTaRZmYBc4zYNc0oDXlvBcAqfzy+mnL1c8gDrmWMGahglRVCmp2AbbWY+5XnguC2lBW/RBIiNfMz1OzVhTWBC577IdAMlXoHmTWRIYosulCfE+0rcE0C9pNy2Tn3IFNB0XatUSqUeHzlGW6d0G76W6LWr3D1NF4zVy6X4cCy47B0eOoyEUibNQ1e3XurO9gJYOoB/l6GNehmzZ8ZvxTIzBZ9KzQpzRaXOVpSlj+nA6EnjXymHGLIYQi2FaU3C71IXeZG7NfQ4BEBsLW8BUDEUwNnVqRhWQaCbXXArjYEeVwVeprdCe7LICp+AAoyTXUG5DnipgHFsAQEOFcI6S5CUOt60hqm6DcSpkYMXAs4Ukm8eexfkiunN19gSyG6kFnJWGWltspJKk75c24nzO60xOiZ3d0zD2Hp8BmdkVBLwNPrL3D79AN8e2+YjU6dLtUkZ3TUXlC/R02k+8Ww8ulha3tj4u7hqNyiPA9yOhADFgNBG+LxTKVhbuF6e+LigxywKgLBtgoEj82AY291ytGA51mXgODYSWuQiw75vgk2RSHQuqO2tS7rwvHon6PtrSG4L4kKcmIYRP+ZMAtUzKPP9DWVQZmg4J/S67vKCCX8f+geTJOc4IgN/eGe3tXolOnszkvg750ISjrxhF8ljeDImtPYOGkHS0UyBHIYKIZ+i7sic27dFxhaCC5eowjunX0YR/6L1tiy5suEet2qw9bBFhlypMPXt9pTmKRkkClXBhQol9f0Ly4FwRq0adQfL2SA/Bf9rQoa7UtTYpUbgvsKdd+SIwTngVDS+ta3CnrW9iIgWBcyySkIDu0h6psF27cHQs+qHMypgMeuAQSnbhCoZ0+d1iXJNIgqFw6zIFJ/H0cDfWbSZvHEtw+6BZTlVjJkzJlecj8121dGtTa/4c6Zh2w55cq+66yYTt/Sy+nNF/H81mssujINDs72sDT4jM5AdvxvP+b3XBEV5AiRynLvo3+50fj8huxbtEPuAlMOjGCzNirNjR64fmtaGnPPTYK9kz1TEBiwrAe7XyPPE31b+jAPWNqdV53pI+wyLTbF88kKwK4+xMANUHp3g9K7A5Q/50CM+KBOx+2F+L068HOqiU6W5LwyQXBbASHNPtaoHR0ZrQ86tJb4qsoAWXrA1jR6goJtecBR06we/ZiqnwWn/pC5jocs3VkI6Z9CluE+ZG4zooKcMpCJYyN4K8yHjaoRnhODhr1qx7luxE4z1u9ewyCpQrIIoxkeuaNoGsaloED4/slHHFxOa7yWB1dGkeh9Y6olgsCs4ttm6anVXFAzUqrWtiJG/NNf//n9+ImHl55CoVAif5ncSJslrpQTBc/lQ9bj7UPVxZWgqsre8zsz93GONGLwPoh+f8XvyXa/A6FnAFGTvtS0GYhUvmgWoWMW5Ox0e4GpgkcnIOJBrIIWOfO5E9w3sHSkqWCXhNDjEAP/BsLVxQvWJSE4doNgJ32hVJI4dtA2M9j5aJAB9q0hi9XuwVGJUgyqOA5vH33QOgNrPrghes3tZPR+yTyV5MAi1CIXUlBGauOrpbC0az0PdNGf6/0Tu+cdwuHVp+D33Z9Z4dTuWBVO7o7YMn2PpI8czdT2/FjHZmamgN6Wtw/f48dnX2aumr1QVj6TMxBl2D3Au6XxT5TlUK+9UTBLjBJ2kgcrBcH9HwiC9LoYS5UGbYYYtFVVTELuAtTkTUUZVuZrLdF48ek7v0iro2/lDZRGM4To/XeansaCEDw2QpBptxEitRuR1maD9wFKX0CeEYJDG8C+TWQLRUom0C8Qa0ZuxvF/ziE8JDzSnLnNiGZMgDm+1xCqRxhSdQJbVpGCroNHQ2mgY354oItHoPP+4oOBv41lPSjRR0M0W5PJyS5HoXNGp+GfF4vZGhonaVGGXAJ8u8KykakCVbQetuSOGHYbore0UbDB2DUEZBmBEApYfoA8sypgObSBIGgfTIoRryF6/6EuJlLEatnIywp8BJnl6d+ag0D/IHx89h+sba2RrVAWk5gzT2+3AOe2X5Ec8FMhy47PayzuWs+LUdQs6f93nCBHUHBTKkT9/W0C4OyRGGaVHL2QcSqrBLQk2SgB8NgGQfFW9bWzKQtBng4pCwMvpoI7BLc5qoZ7aqMIvx2VEpZnZSlS2LdVzT5chhu0S/p+ij49AWalFPu7KgIRLyH6z4DgNgOpAUcXB+Qrbdp1zOptK+LsVlr/1g1pXVoiPNCpHQUu7b2mc6SiL8jRWl7pusXg7M4DnWVAKRtLSvOSUkkjyGyof0m3+nuyh+yLqB1CX3+hxyZVhSmlON1JwFqudmOgwpy08UqviT/nAQopX0YFEHIAonIEk0XjGI+Ng35lm1zFcsAS4VWXAFsLk5qOS0FVThToNMaGnKRHsCK7osQuPxfU40a5lnaF7BBcxiClQz10gmNniUEG9fuVhxB2GaJXTYhff4X4tbBKW1Pxjs1w4xXkIt4BQasM2DIciHhu9P45Ko6sPCUpZUiPndsuPeNLKnigo4GorWEKC+SUq2kP0JTxps3qiZnHxyJvyVxmPUeOEdjXU1VIJtqsjo4jV+k6OnRgCiGq2UkGCE4DIaTZpVUrM0Xi2Eu1vsaQx7zMkKGrQLOvGaqCGobIbIxE7w5GuEHEhBXoGAxPYsWXl3cl1J3ULQav7lJq3vLg7zrAyvxJ1TvAN1DnNhTYhq3rC2sbK/x76BaCf4YwGS4SVLYEB11OFKxYwW2xas2GrdOZea1Olh6C60wIthUA+5qAy2iW7k6NVbKCYAW4zmFal2LwDjZTg+ABwb4xROU34OcsLWtoqvdH9BvLzGJj9xLqJZzcrw3IyFBalSm/cOKDnaOtAduQA4jlwQMd5Z7tbNBiaCOsH7dNZ5Cj5knPTCq1+jqdSRyXY8mwoOO5D2LgOiDkCLPJMTk2VZjoM2wqxCm/T41BLsZrty0LwbZs5H2i0h/waqLnmUogeBfg1NsslzFKq2okyjj6pQ6vH7mDU5suMIUU9wxueuUGZTIBlVuUgyXCA52atqOaMdWTQytOsJYCaugmZW6quixdrzgGLNOoRXCSC6TWIbhOA1ynQfmtCqD8bKI9WwEu0yBzMMa9O3XCWg5Id5Sp1RiwfcRToxPOgm1ViOE3pWd1sl9U2qEcg1oTxjacwYQtaN1Nn/yXxk2FeohJncUS4YFODaUfBy7rgYZ/1sLxdWeZZpybpwtqdqiMQr/lN/sInZRYKCVKBq10rF+rFGTOwKbof0nNqMSFp8c/yJGPmuIbWX+rdB3tm0Jw7MGsbzjSiCFnIfr2MeIZ9B2zNf44djWBgIUSNkAC4LbQoKZ3DjC3+3I8vqoq2jEkyBEuHs6Yeng0c2GxRHjDuAXw5uF7jGs0k/nRydXFLopwBZPTmXpoFLIVyJLUp5gsYb1VdKElSS9j3bKpzJ00Hx06qospSDvTlrlwcwwcYHyrqJZSM+Jv7/I/yByaGH6cwDWq1gK2zqfjOE7DIXMi13SOPr68/YYOufoa/JbR+D9fmTxMr9fGwKI+U8Ebxi0UKna5sPMqvn/8Abd0rqjSiuSSgGHVJkYWwlCA00AN7PTY2sfz2YiJYyTht4DQ00Y+SVDN4tIcgiCLPgOwPEV2iybkZPzcC/zHQKl4papW1SeLFrQN4s/ZenYoAwIWQ7QtD4EXoujl9qkHRo1LaJr04emnRA9yxsIDXSKxZ+FhrBm1GeGh4bCykrO1v+WD16NwpfwqHyctHy5KG/h5+ePY2jNoNdzwUS5HbbwasCpKkNlgZBBcJsYKchxjESNeqS8vxvYzhgGBKyAqfSG4Tta9fzEcIktX6oNSbyEQf7SEKDgB1sUhOHaAYFvJyPNKHShIuNnIrwzVM1g6PA+TCBxde5oFNSaySmpE4eRnJrIP1b2zjyQ/VNTIbqlNmJaKGHoFolctIOyccd9YGblw/x2jWpATP1T6nQm4AAZvgzJwG5ReTaH8UgjKL/mg/FaN2SeR3x1rKVD+MGKHpLzvxz4Tog/ZL3VjrhCcuK1WRn1l5DIULJcHlg6f0ZkZCmbrxibMmyvIX9o5OLUhhj+BGHKctQwIVjkgUu9V2AWmXA8xCAjaaPyaHBWaeB6GIDO+GIKjBdtagN60oh5+jo/5u/ITRPIBpHYRB+PtZmIQdhHi9ypAmm2RXnocIE+JnEwj8+Wd13pF7DVZp98HNoClwwNdAoPY1YM3cXLDeXh/8UX6bJ6o06U6U1DRNJE/uvIMPl813mbGQyOm7IWlHa9TC6IyCKLfEHVxiSq1KGqajTXqJPGS/pIzVXwZD3ImQ7D6BSIppIQcNr3lEc3mQk2gRCT6Q/TuCqQ9xfvrojF6y0AMrjQOvt/9dVZdatoOWv/VBGUblISlwwNdAnpNxjSYjkeXn0W+6c9vvcL5HVdRrmFJjNs5lC3QSqmtGALt11J7UxIb0W8oEErpSGhROxHjGeRIizIrBCdjyuA5hkA9jLSWhtBj0eTATKFSIwIhh0ywH/qCfQEoO2DfyDT7SwFkypUBK+7OwYGlx1irFdUJuKZ1YQV0X958Y9ekAuXyotmA+ihTrziUSiXrQaa2KPK+s0SlKN5eEE+mtZ2PC7v+1TriISWV3wfUR695nfHu8Qd0LzzE+AOoF4Trdq2GIat7p2qlDUIMfwbxh6kvRraAQ3NVhV9q0aJMAsTw5xAp3UizO5IEsyjkTJtT5va/pD6RZIdSqcS+xUexe/4hViFOpMuWFi2HNELjvnXMHvB4e4GZoWZymrnpGiNQAcn+ZceQJksaODjZIeev2XTa21NQTJ8tLZr2q8cqMzUfGLqvBX1g+tRJ9UGOYGtypvKYc+gLwaGxahUv9DLE4MOAdRHA+lf+tzYDgnVedlNGPLPAQCdamG9h8kAURfyvy1Kc2kjej1F8e/cdSwf+jVf33ljUAJ0Hunhw98xDvR51EWEKrBq+IbImgtKbseV0SBuO7hu6pjeKVSuMZgPrW3wKIMmgIhNTuREo/SH69AMUL6J2T/+TZwfclrCLMscMWOUHQs+aaM2O+hpNUaQlQrD+1QT7SV1cO3w7TpCLzrG/z6JyywooXacYLAF+JY0HhsriRC/8o8Do4GIf41pduFIBpihAQY6gwJYuqyfSZknDg1wsBKucpvOYC9kYI8hFongL0bsVxIgPpjkOJwaCgwk9GwVDGpTpy2aj/3H71KVZKooivD79wOc3XxERHr/v1MGVJ6S96axkTDdY1/G9v/gww2tKfyYGfEYXDwrEo2+E0pkBPoEYsaEfshf6BW7pXOCZOY1Zzi9FYlcf8J+mluIy47KyGAQxcBUE1ynmO0YqRZBnBFwmQfQfFysNbWxTv6piUhoZYFsXcBkL+HQDIp7EepyOL0BwWwRBRv6BKR9RFJkbwbaZe/H+ySd2n0saZzTpWxdtRjUzSt3k3UPtSzEalBFKvH34Ic7xj645jR1zDuDTi8+RSzTNBzdEk351zTq459OGeJCtYFYmukwuB8ZAI6BrR+4gd/EcPMgZiSBzguA6I3E+tsF7mLIKx/QIDq0huK8HbMjORZ3ekGcFbCoa8mwj0tcyVkkrk3tCSLMXgus8wJrSaHYqXzq7Zqr77VKP5daGiTswu9MSJtmlwf/HT2yaugtj6k9HeFi4wfuyd9bvO+fgah8jyC0d8Dfm/7kSn15GCayTvu+yQevYeZmzLpIHungyYkN/pMnkwdbZDIVGQOTtxIkfgn191UXS2tx9O6Rgw5v0zekVKPNYByH9Awjp70HwPAnBfaVqBqbVmTwP4NDduJkfubur11pJiFuwbwhZmh2QZbgPWfqbkLlNh2CdD6mFt48+YNOUXezn2PGEsk33zj1kUoOGUq1NRVZIpwt6rFrr3yJ/v3/hMfYvpTYT7W/h6c0XcfUAWS2ZBx7o4gmtpS2/PRudp7RFplzp4eBsDyu184AuaAaYMUf6RDvHlIhgWx6yNJshpLsGOP1lpqPYUlQ10745GqhJm9zgqfhKEKwhkJWO+zrAtjZgVRCw+Q2C61wInnuBsH+NK2JRfmTOBhwVh1edZOtmUlCluKHU71EDLh5OWtfp6D5XTxfU7VY98r6Dap9PXdBzDiynymrzwANdAiBHATJs/efFEuz328CCntQohyR16naNevM58Yf63gT7xub5CJPnHLfjSXRYwLP9DTL3hZB57oPMYy0E+0Zq1ZJQo/dHzgbM+FXpAzFwLZTe3aH07goxYKlKLi4V8eHpJ7Zupgua5X16brhno1taV8w6OZ4N8GPj6OqA/50eH8Nx5c2D95KSYpTtevvwPcwF/zabkEa9a+OXAlm0BjtqJ6nZvjIKluel66ZCkKcD7H838mOsz5XAnjWQcywMK2oBMNZRQg4xYAHE79VUdj5hF4CwS8zxnN0XcgqpBQcXB73FHnaO+tfdNFC1JKVCtSk//fQOwP86L8Pmabtx49gdti31E+vD3oBt4guvujSCsJAwpoby+t5b2NjZoFyjkshfJqoCU1QqUaxaIXx6/h8ilFFNqHaOtmg5tDHajWtuMQ2UKQXBZQJEpbda/9IQRMC2IRCqRUJKlg7w2AxB7mnq0+QkEMGxHcSQ3UY+S6FOecpiLQzRzIJMeQcAngchWJlAN9PCqdS8HC7upr+FdiitWK1N1JqaPi7vvY5Le67pfJzkEEkYWqkUkT57WlRoUgbPbrzSWXBCqcuq0db0TA0PdAZy6+Q9TGuzAD99AthaHL1hNGL5tXJBTNg9jL1RgyqOxYdn/8Uou6XZXWhQGH4pkBlyOfc4MzWCYAu4LYf4tRSNJQ14hgiEngLSkCTVUSD8PpUCAvYtIbMzpPKPkxQw01SnIRAD5qkDlzFVsdq2pQuuCDFoI/MfTOlU/L0MsubPjP9efo6TQqSCOitrK/w+uKHB+6M1t9gCGLGhIEd8//ADR9eegksaJ/z0CYzzHNoPpUDNqenLU5cG8OreW4xtNBMBfqppOvnJaT4sDy8/ZeLOGyfvjBPkNBVN9N+cbssQ9JNX8pkDNku2LmBg6Tl9+UKA4P2QOfeHzGO1ak2IB7kkRVQGQAzaBeXPhSrPOcX3ONsITr0guK0EbMqY6NKlAEJIqSXlY21jjdmnxjM5QkJuJYdcXTzn7OGMmcfHIkuejAbv7/2TjwYLZ9B25MVZvOavSPeLKltCx9Ycn8Si/3d6AtJkNJ/eLBd1NoBpf8zHxV3/Si6m2jrYsJmbTgSgz/zOKFWnGOyd7eGZycMk58ZRIQYfUln4GIN1UQguUyBY5zfXaXEMQAzaBtF/urrgRNNILgCOXSE4DdNaGESXLVHxH+BFLQn0vYvnZUzmCVm6K0gtiKKIBxef4MbROwgPi2DeczTbo0BoDF0LDorRj2cIpAy158c6XDt0G3fPqmQUC1csgN+almYzSnNe63mg0wMtpNa3/wOKcN3Cr/qm8JoUJk08lAoxUl2l48TWKFW7aILPkUNfYAVE7z9UXmUGIwMEOwhpdnHzTUsdoDj2hsx5sO7nh16E6EMWS9TsbGyTvxywrQaZ+zIjn8fZPHU3/pm4nWWsDIWuf8cjdpisTsGYaz1PXeqBpSklghxhiF4bfSA0QY54ev0lRtWbijNbLprkPFM7bLgW8cbIZynpSgnx50IznRVHClKfUa25SRC4BqIyrnGxqPjKghxgDXgeAhz7ANbFjazMVEBw6Gj8iXPQ4M+aTD5MSu8yNmmzeiZZMR4PdHog/TdyEpCCynZVQsyGv4lsJCQC83quRHAAX7tLCCwp4dsLEOOjOqMAQk9CVOrTTuSYnIjHgOKjno3CY1TU0tqd0qcfxO9VIPp0g+jTEfjRTJXedN9knOWOY18ItiRFxjEW6qObe3Yi06ok9DWjU0arURIaSPNAZwCNeteRbASnC22XqW2hjEcWODQ4FGe3pZ41AlMjimEQA+YDYecTsBcloPxhwrPiGIIYotvmJQrK96uqaUWlL0Tv1kDo6ZhpSjEAYsAi4OdEQPAwTB7MfRVkzrxfMqGav+ufL0K/xd1YC5UuaNaXs8gvTLg5qeCBzgB+H9QAeYrniDNN10zDe8xsj1odq2D4331hbWvF7qcWBEOm9VZWctZ3xzEeMfw+G9kjcEUC9yQA3GE88Qk1RPJJVIk+00+B/wBUgKJr1ha8E5AZsC5vlU8t8MxJKKRhueqvDQj2J1cRLQhgUmBkR2bvlHSyeryPzgDsHe0w5+xEbJq8C4dWnUKQP5mAAtkLZ0W7Mc1RpVUF9nvtTlVRvnEpnN50Ee8ef2CzwIPLtXsyRe81IdUCjnGwNRrvzmpD1gRCmooyN1OcFsdAaHYW1zpHGzKI5GwghgFB/+gvOFG81b9LUkehwiWPHcwVg2M8/t4/MbPDYla9KYkI/FqpIBxdHZGU8EBnIDQa6TG7AzpNaQOvjz9gY0drdx5xFled3Z3QtH+9yN9f3n2LZ9deRDZPxoaqNSu35OsExiIGbVUHORPY6VjlMMUpcYyBApdBKIGQfUy2i1KUpkEBRLwGgjYDTn+aaJ+ph4jwCIyqM5Vd2/RBg/2z2y6hRrtKSEp46jIexSmZcmVgfnKGVBB1nNBKtXanZVMqXqnaugKy5stsnpNNyZCqiSmCHBFmTEsCxyTIPADBkHSxAPhPApRxG8gThpL173GMh8xbn996bVDDuMZwOqnhgc4EkCzYxT3XcHbbZXyMtd5GfXKjNw+CnQNZvyDG2l3lluUx7G/qAeIYihjxHkr/GYDClErnxivjcxKGIFgB9m0N2JIyIWHGVVMaivKL6feZwnl9/x0W9l5t8PakoZklXyYkNTx1mQDIkXf1X5twaOUJhIdGRN5frHphDFvbJ7L0lsRSyzUsgXPbr+Dj889MIYBEVn/Jz2dyxiCGnIXo2089kzPVhU8OWBWSPq5I4sDXAeU3pqQBm7KqCzUnYTh1B4KWx1/VJKGQ0zjHYMJCwzGq3jREhEVd6/RBalL1e9REqpjRLV26FNmzZ4ednR3Kli2L69evS26/c+dO5M+fn21fpEgRHDlyBJYGtRTMaLcQ+5YcjRHkiAcXHmPgb2Pg880vxhpfvW410GNWe1bAwoNcPIpPfPvTCoERQc7OwKbhdrqPG3Ic4veqEH06QfQbDtGnC8TvlZmiByeBsGrZpBRmUkAM1a3oz4kJySB6f/aBMTTuUwfO7o7YNe8gts7Yi+tH70ChMMPsPKkD3fbt2zFkyBBMmDABt2/fRtGiRVGnTh18+6bd+PDKlSto27YtunXrhjt37qBp06bs9vDhQ1gSj648w8Xd17RK4NAoxuerH/YsOBzj/o8vPuPI6lM4tPIk3pjRZDBFErxDHeQMvTDaAvI8gDUZ3Trp/uhT07CNdhk28itjVi7KrzEfUHox2Sox+KCRL4KjQaTeOGoX0IfsFz1qJ7T4bRO/S5noD9GnK8Swm8Y/NxVy98wDSZfw6Di6OaD7rPb49sELXQsMwqq/NuKfCduYAH7HXP3w9PoLJCZm17qkGVzp0qWxZMmSSLmsrFmzon///hg5cmSc7Vu3bo3AwEAcOhQ1Yi5XrhyKFSuGFStWJImoszbm91yB4+vPSgo9u6Z1wa6va+H/4ydmdoxWikvfTREoUqkARm0eyFRVONIof7QDwm/E78lWRQGHlkDQFpUaB2FdDIJjNwh2dXTLU32vDijJdVnHV0TmCSHtBZ7GjAdiyAl1GloPjsOAwDnS2zj9BQRSVWZ81vJkgPWvkKWhgRRHiv91XYrTmy5IXvMIsiRb9O8MjG88Ew8vPdVqy0NV68tvzUaWvJmSv9ZlWFgYbt26hZo1a8aQy6Lfr169qvU5dH/07QmaAeraPjQ0lL3g6LfE4MdnH71vuL+XP0JDwjC8xiTcOnEv6gH1dfPx1WcYUmU8AtX2PxwzEXEPCL0Omec+COkfshtd2HQFOQaJQyupsEhiHKj0Uht7coxGNLAAKPyS9ON2zVUDljT7AfsWzCHeOJRA+F2IEe+MfF7qo1D5fHqveU7ujlj87ww8v/ES988/1lqZyWx7QsOxY84BJBZmDXReXl4sH5s+ffoY99PvX75or3ii+43ZfsaMGSyqa240W0wMyDtJ3zTexdMFF3ZcZZVK2t5w+tB8ffsdR9ca6o6delFpEibg4xp6AErFDwiCDbvphYKYIVCBCsd4SJ3EECQHEgLg1I+1+QhW2SFznQIh/V0I6R8D9u2NOx+Tty+kPKr9UZGlJKU0fXvO7sBMVM9uvSx5faRr3+nNF3U6jpuaZN9eMGrUKDZ11dw+fPiQKMet3bma5OiGpudUfHJiwzlpnUyIOLH+nJnOMgVh30pdJJwA9fOg7br1MsMfQAy7ywxAGbJ0hu1TFnNQxjEMwTqvWoZL1/qbHBAc9VyiBCB4F0SFF2s7EcVQVdATrCC4jIPgPAoQnA07IUPf71SuEDVl/0hY29nEkDfU/Fyvew3U7Upr4kCAb0AMtxZthAWHsebzZB/oPD09IZfL8fVrzMV8+j1Dhgxan0P3G7O9ra0ty89GvyUGBcvnReUW5bQ2jZOSt0cGN6aRSUUpkp5NJLz/Pa4NCScmgjw9BLfF6mBnjBVLNELPQgy7AVHxOZpNzEqI3ypB/NEconcriN/KQek3EaI8t1pjUZC+ONpwVZv4IrjOJNtwLe8nBTkXWsjTIwqgZAUt4vcKEL1qQvxWFkr/6cyJggU8xy6AJ2VLbPWs0RWHYEVFLxx9UF3Bmofz0HxQA9Y+Re7gxWsUwaR9f2Hwyj8jr4cZc6SHTC49KHXP4Ga04atFBjobGxuULFkSp0+T2jgii1Ho9/Lly2t9Dt0ffXvi5MmTOrdPKugNHblpAH4fWB/WdjHfrKJVCmHhlWlwT+eKjDnSSYo702wvnbrfjiONYFcNgudRwKETIM8JyH8BZFkN/xhH3IPo3Y4JQSt/dGYVlWLAXECMXjIdBgRvA3w6qYocVEfWfj4uYyAI8Qy6HAhWOSF47lPP1jXByA5waK26n1VT6iOaLBhJwgVthOjdVlXVyWYbrhCcR+h4Ln1uZBCc4xbFcXSTIXs69PxfR2x6sww7v6zBzGNjUaFx6RiDfhJy1pfxavRn7ZRTdUntBZ06dcLKlStRpkwZLFiwADt27MDTp0/Z2lvHjh2ROXNmttamaS+oUqUKZs6ciQYNGmDbtm2YPn06a00oXLiwxVRdRifAN5AtvNICa67iOZAlT8bIx67sv4EJzWZLPn/I6l4szckxDEpVIfQUoPSHSH5lAfExTpXpmS0IEJxHs2Aq/pwS0zdNlhGCy2jpYhaOUbCmfApUgkPk4EHpM4B5BcarktKxO2TOw6L2H7RDZfKq9I7aTJ4LgutkCDalTfUyONFYO3oLts3cC21BLmu+TGwy4JgAQXtjrvVmr4umdoHv379j/PjxrKCE2gSOHTsWWXDy/v17VompoUKFCtiyZQvGjh2L0aNHI0+ePNi3b59BQS6pcHJzRIUm2r8sZRuWQKm6xXDz+N04BXz0hucrnQs12ldOnBNNARdD8ecsNmpXBSmZ+iJII39DRYI1GKDTF7QVsrTHANsqqipMxVdAnhawLqky+uSYDBbcYq2nUTWlGCrt/qEdJRC0DaLToMjWD8GhFWDfTK1w4wvIs7C2gqRyvE4NdJ3WFumypsGWGXuZED5BNmY1O1RhwhkJCXIWN6NLbJJiRifFtcO3sajvanx7H7OKjzQvqaCl19yOSerTlJxQ+k0BgslFOrE+sraQZXiQSMfiaEMMPgDRb4T6PVdGNaEagJD2KgQ571FNaqjy/v3jjwgLCUeWvBlNZtljUTO61MzBlSewSIcAKtn21O9egwc5AxEVX4DgzYkrGWWIiSfHrAj2jQGbMiz1iPD7ALWGUIqTtR1Ip54h2MeorAU1qZPrBdn9WOWCYN8KgnX+RHkdqcmn7uCyE0xMw++7PzyzeKB+95qo3yNpr3V8RmcmggND0NS1o04fOiJDjnTY+Gppop5XckUMXKdKW5rKmkcvcsCxW4x1Ho5lIIbdgejdWmILOTPTlXmsUW2v+ALRuxOgeBNtbZbWARWAYx8ITgN5CtMEfHv/HYMqjYPXJ++oSnMab0BAtkJZMO/8ZObXaSosRhklNbN56m7JIEd8efMNbx5wRQZDEJV+ifhxVa0XCQ4dEul4HF2IykDmG6f0HQKl72CIgZtUrR/WugQEVKlNwam36vmiCNGnVzRbJ81ASV3gEriMGbtyEs6MDouZ6HOMdipR9R68f/IJS/qvRVLBA52ZIAcDQ/jwLKZ/HUc7AhUPMFHnRECeHUKaLax3j5N0iGH3VM4R/uOBkCPMbJdVwHpVYbNt2FRQbymPWoUR7CG4LYJgUxKiGAHx52y1vqmuyk1B1UuZshJbic6bh+/x8OITnS0FpAx1bseVGI4uiQlfozMTVtaG/WkdXPkanUHY1QX8p1BS2LzHsW8NwWUyT2UlAWL4CyD0BERag5NlAKgdQNS839EuoPS4b1/AtqrKS5B0M62yAzZVINg3giBzUKnd+PQBwi7oOyqgeK1yqJBrF6Xg6OfJv/rdCJQRSry8/Rql6xZHYsMDnZmo2Lws7uuZ1VF7QfFqRRLtnJIzgswJcBkH0X+0eQ8USkoaE+OvvsKJX3rSbxgQelr9dxf0zN4p6IWpe+xoJiYDFC8B5U+I1Nso2gOBa4Cwi0acRCJlC1IoMglRjOjIrZLme8VTl2aibpdqzIpCClKJubTnWqKdU3JHcGgBuMw070FI3De2/xzHrIi+A5k8mwpKMRoadMSYs73wa8D3MhC/FoEYYIRzueAO8DR1gihRo7DeLIitgy3yl82DpIAHOjNBpbQzjo2VHsGIwIz2C/H+6acYd5PQKdnWc+IiiGTDZO60Iv9aJBYitQyw9KIpq2lJPMBAGyCSAHNsD0FIHM3F5MTzW6+wuN8apuw0r8cKlqHStZaZ7pe0TPtXamZXo10l5myQFPBvtBn5tXJB1OpURe92+5ccZf+Szfyw6hNRz7YtGtj/ge6FB+PImtNs5sdRIUa8NWNaUQDk2bgjQSIihhxL2jSxTRnA8c+kO76FNnjP7bEcfUuPxOFVJ5mM4Yl/zmJo1QkY12QWQoO1DyIGr+4lOWM7sf4sLu1NmgwWD3RJvEhLVUo3jt/F7vmHmM38g4tPIh+jklxyMv9f56U82GmgtTqzNY2LqiBH1i/KIDMdgxMDJr6cRIU/Dp0huK8xzJ8wFbF5ym4c+1vlkampotT8e/3IbSzp/7fW55Gk16hNA2Blo730IyJCgamt5+Pdk2i6sYkED3TxhKbwj/99juWD12N2lyXYNGUXvqv13GJsp8VwNTbhIeFYMewf9nN0g1ZNmuDUpgs4v0O7w3pqQ7CrFw+RX0TzsrMhfxjN3mLvHQi/DdF/DMTvFSGGXjbBGXOkEKxyxPP9TAhywCov86vjQS4mIUGh2L3gkM6xJPXInfjnHLy/RHf8iIICpDaTadWTVf87sJRm8YkLD3TxVD2h2dfACmOwf+kx5pS7cfJOtMveG9tmxWw+LVK5gKQjL7nwOro6SOa26TFNejO1I1gXAmyrG/jRlQOytIDjAKZmL7hMgpDuKoS051gLAaxJiJsudEK0b6K6EEIMhOjzp6rknWM+7JsmfupSnhmC+yreQqKFc9suIchfuoWHAtmtE/e1PnbtyG3dgU49M/z30C0kNjzQxYP/dVmKWydVb7QiQsH6Q+jNpdHO2lGbcXLDefZYoH8QXtx+I6mQolAomZ8d7UMXtO9X97mCigbBdR5gWzNus3BsbMpASLMTMud+kDkPgeDQBoLMGYLMUfWzQxt14YK294fuU0AM1J6m4ZgGQebB3MDVv8XDZdxIHHtB8DwMQZ7JdPtMIdw6eQ8Leq0yaFuyJNOGIlz/7JyumYkN76Mzko8vPuPiLhKU1YEAbJq6CzU7VMasjovx8g7p6+mm/+LuuHrwJmhwKSXOYGPL3yoN1BAsuC+BGPESCDkJUQyEYJUbok1ZCFTFJ4YD1oXUaTHdiCEn9PjSKYBQSrOovBI55kFwaAvIPCH+XAwonkZLL5ZUvQcRppoByAHFZwiClON46iTQP5BVV0qZpUYnd4kcOk1Z3zzQyK1pz04Vrpj4Qtr86mkkVw/cZKlInbM0Efjv5Rf8e/g221YKjwxuaNirFnMZv3nirmR687dmZRN66ikOCm5wyh05D2D/yqNMb6VgKUkKlPrK2sWQBJ8nxwDYoCQw2ixdBCKuG/hkQ617FDENdDmMl3ffYGTtKQgN0u/pSIEqV9HsyFsyl9ZqzSfXpVP9lJ1q2o/W2RMXnro0ktCgUAjRjGJ1cefUfb1qAd5ffPHh6SfUbF8JHundtG5P6wh0vN8HNkjQeXNUiIpvUP7oAPFHA5WahiQCYJUzkc4s9SIqfSF6dwAUGt1XSm3pm1mohzdWRQGHPwHHnrTgp+c5MjZz5ETx9d13DKs2Ef4/qPpVP1RPMGrzAK2P3Tn9EL5f9WtZpsnsgcSGz+iMJEeRX/TmmKm81t7ZzqDFbjIjpOby2afGY2SdqcziQhPwaM3Pxt4a43cOQ/ZCWU32GlK11JR3e0DxwdBncAeDBMIqh1lTuNo/zrqEau00+ncjeBeg9DaubURIA8FlNGBXP9LtXQlrIHC5RJBUQrBvksBXlLLYPf8QK64zVNN6/sUpyJovs9bHPj7/j72v+gSyKeOVMUfi9qryQGckZRuUgHt6V/h+949pR6GGghQpAOQvk0dvQKQilEy5VUKy2QpmxT8vl+DS7n9x88Q99lzaR62OVeDkZhpH3tSEGPEBCNkPUfEdgjwtYNcECD0HKKiox5BvtQDYVATsm6sv1jchBu8FFCT+mw6CfTNWtckr93TDfOB8+wPh96JVVioAstlxX8rWUEVRATF4v/G9keIPiEpv5nWmQXDsADF4hzpoxv7uyQDroiohaE4k1LokVQingZZr8pbKhWwFyEVE92zPEBcIBxcHJDY80MXDlWDM1sEYVW8qW7iNXkpLQY7MVLvPbAdnDyd4ZvZg6Ult5ba0be0OVViTpQYbW2tU/6MSu3GkEUmxPmg7xKAtqhma4ASQG7V9B5UTedB6dWZegEgX0YDFgOBh2AVVlg6CQ0fAsTPbnl2sQ09EmXVCDjF4t6rNgSxheC9WHEQxWJ2O1KyJRQs8ijcQf7SFaF8foCAn/ozPEYCfU1WzN/Y+qSo44bEVou8QIOJ+tLU7gVXpCq4zIAj8khedIH/DhBGoJqH1CGoF0U25hiVhbWuF8FDdWqVps6ZB3lKJvxzA1+jiQdGqhbDo6nRUbFYmMs1Io5kWgxti8b/T4ZbWFXK5HGO3D4G1jRUrJomOTCZD1nyZ0G1muyR6BckbUi2hi6j4c5raNTocEH2AoE3Aj/pA0LrI9gBVX5xC7QAZt6E/DrLMENJegODUkwUw5mfGVPKjX6zV/4aehejPKzK1EnxQPXvWltVQAKI3ELQ5nkEuCvHnvBgqNoLVL5B57oKQZi8ElwkQXKZA8DwFmfsS1lrCiatRaQg9ZrVHRT0FceQe3nxwI0mhm86T27BrY2IjiCnMcdAYe3VTQOLLVKDi4GKv9Q0kweYds/fhzNbLrPfELZ0rGv5ZCy2GNISjK09JxgclBZcgUpIxtSwapSvLQ+axPtLVXPz2m7rXThfWENJdgiBzN/G5JG+UNJsLo6pJMVH6KgX7hmY/Tkpk55wDWD1yk9ZlGA0Tdg/TG+SiV16uGr4RexcdYfGOJgKU+bKykaP7zPYmLaoz5lrPA10iQX/m8LAIlp6MDmlY0gyPY0RK7Ft5lfmmObBrAsF1tmpRPeQURN8+ep8iuC2GQD5onEiUXg2BiOeJczDHgZA5902cY6UwggNDMKTyeLy+/07rEkuTfnXRb1E3o/dLcojntl+B33c/Nmus1vY3NuNLqms9T1gnEnTh1AS5sJAwHFh2HAeWH8fnV19hY2/DLC5aDW+CHIV/SepTtWwi3pkvyBFUwGKVH3DsokqJGgI1qHNiIs8BRLxKHB3LCGlRBo5u7B3tMOfsRKwdtYW5C4QGq7IXHhnd0Xp4EzQbWB/xIW2WNGg5tBEsBT6jSyQoxXl83VnsX3YU7x9/ipMqoHU8muZPPTQaJWpw13FdiBGvIHolsOGUZKVETXOyBFQdqLfXDhA8j+tVYUkNqC4lEczbjQSxRR8aLCQSggurkBUcu0LgJqrxIuhnMD48+4/VFWQrlEXrUsznN19x8p/z+P7BC65pXViFeY4i2ZLkfHnq0sICHSmCj6o7FQ8vP5VcsiCFFCpq2fZxJWztuUyRNlg5+vdqgPJLPJ4tV800DAhehiluUMl6GcjSbABSexsBaYJSP5wYoHKHsG8BKN5HK+RJDEjE2w2Cx3ZWlMIxHaIo4u8xW7Ft1l621KJqqxHZ+hsFu6Fre8Paxtpir/V8cSgR+Gf8djy+8lzvujzN8gJ8AnFBSkszlSMIcghMBcNYZIBgDxjVAK5vDEil7Z3icS6xjqLwghiwAkrfgVD6DoMYfAiiqF+OyRIQI95B/NEUCNqoCnLsTj9Ve0fYPcCxB0Bl/4mCAiCVFb8RiXS81MPehUewbeZe9pWgtTzq89XoYp7ZcgkrhqpsxiwVHujMDLnxHl590mDjVCtrOV7e5msOkji0Y6aZxqFUpbZsy5jwRAQgge4GLKh9rwIxYAFAbtshhyH6DYHoVYcFEUtH9BsOKP20rMVRC8E3IPgY4LEdIMeJREEBhN9SCX5zTEJEeAS2TN8tOds7vPIUfL7pl/9KKnigMzMfn39G8E/DhYEpkUxNlxzdUNpERvJPjn8a98Sgf1QN5vJ8JjoTUky5ATEifkLBYtgdiH7D1EUvymi9f/TPF4jenS16ZieGPwPC70oXnCg/AF61gJ8LEvdyE/448Y6VQgkLDceDi0+Y56afl3S/I83wbhy9A0uFX1HNjNzKuOZI+sCQwgBHP4Ljn6rAxQpLDOypoxQbTLz+qfwGIEoaSQx/AjFoGxD+EBBsIdjVVM0mZRpnc/V2gau1eLBFT8N9AkKOA/aWU70Wg4gnhm+r1G3dYha4Wk28USqV2DF7P3b8bz9++hhQtEUIKsF7S4UHOjNDCihUquv9Wbv1fHRkVjLkKZ4ThX5LfL+m5IggcwLcV0H06aa20zG0gdy0X0gx7JpKuJg88cIeAYFzo8mFUeC7BQSsBDzWQbAuqLqPpu6kvSlZfi+DGHoWgqUGOubObolYAzblkvokki3LBq3D/iXkw2gEIpDdglujeOoyEWZ0hvaTkGDqlAMjYggF0wXx3PbLGPDbGNSzbYOGTu0xueVcPP43kZpxLRzBpiQr74djbwNsWsxEwHyIP2dC9OmqDnKIFcBIfsyfBWQx0t9OVYovDT3PckfJsC1vgWNlAbAnJ3m3pD6RZMmbh++NDnLUFpUlX6YkMVQ1FEv7lKZIfh/UAM+uv8S5HVfiOInbO9ujZK1fUatDFeaMED3VSUFuQe9VOLLqFPswUbVTRLgCV/Zfx6U91zB8XV/mbpDaob4pwXkgRNKmDFhoBmkwQ9B3TEpF/gCCjwAOvzNrGVGeR93qoKu6U4icAWrK+EkEWVR+g0C+avaNIci1W6YkBiR7Jtq3BYI3JYrUlzTqGbRtHQguvOoyvhxfd5b19BrqNE7bWttaY+TGARbt5MEDXSLku5f0X8uCHAUrMVr1ZbFqhTHl0EjY6eiZu7DzKgtybD/R5Hk0H8I53ZahaNWCBguzpnjsWwIBK6hz0QIuvNqQQwy7AsHh9yhbGf/xemYnLdiARwyYDwSuUt8vg0iBNWABRIfOEJwpC5A0yRkKKhR4EXo8KY4OWJcHZA6ALC0E+98B618t+oJr6Xz74AWlwrDvjtxajqqtKqDt6N8l7XssAR7ozMymybtwcMWJOMGKuHv2IXu8+wztLgYkjKqZyeniyOrT6DyljYnPOnkiyD0B9xUQfXqRih8sj2hVlZrAHHopWlO1GG12ooTgOo3NVsXANUAgBXAN0T4P5NRAa5VO/ZEUMIsit0UQyViVUrd6Jb/UvnBsOwGQ5wdCtht/YHk2CC4TIdiS6DbHVLimcVYLMet+H20dbLHx9RImSh9bu9dS4Wt0ZhZM3Tn3gOTkYuec/fjpq260jcXzW68kgxw99vT6C1OcaopBsC0PIe0JCzXYFCFYF4/Z/O62EILLJECu8eiSAbaVIXhsYjMUWtMTA5ZJ7zVgDXNPT9J2D/q7uy016JIiuM6FLM0uyNLshOA6wfDLkJAWcBwEwWMbBM8TPMiZgRrtK0sGOSqYq92xCtzTuSWbIEfwQBfPAHZ41UkMqz4RfxYfhul/LMC984/iuOveP/cIIYHSxQSUJtgwYYfWx+TW0hNuytBQfpyjZc3ObQVg11DLx5zSWkmR2hJUyizkTB79Xgp2Dm0gS3sUQvpHENI/hsx9JQSb0qoNwm5EKY7oJBgIu4ykRrCrDnjsAmSZtDyqfg+chkOwikpzMSNU27rRHMglID/B8Ks8PWlGClXIh7INSzI5wtjQTM/eyQ4thzdGcoMHOiP5+u47ehQZwopE7p9/jNf33uHCrqsYVm0iFvRaFUMBJSTIsGbfqwduar1fVZyi+y2isFqmXtQMgRMFrVkJrnMAl2kqwd8Yf7XEWL+LfqGgi7g1m/FImX+SGHKctTZDnRrM6ehgBDKbwhDSnmaGp1GzVEL9vQiYA6XvXxCVUcFbcPpT/TfSF7yUALVyUG8hxywIgoBx2wez4jhNsNOMKbLmz4z55ycjY47kJ5rN1+iMgGZs45vMgtfHH6rKb/UFU1MccmT1KWQvlBXNBqisLbIXzmrQfr+999LqS0eO5VSQog0aXZG/E6UaOLqIAKhx22gXa3of9FSd2bcCgrXNxOU0tQFk2QDFJ0BmC9jVhuDQEYJVdiPPA7GChQRWuWAp0CxVtG8OhBxSO8BHH1gogJADKomuNFshUEO9dQHAfTVE30Eqp3hJZBCDd0CwN52BZ2pEEaHAlQM32SA90DcQWfNlRv0eNZCtYFYmKE8V3V2mtsHN4/cQFhKOXMWyo2D5vHFm0iQP5vXJm1WLe2b2sNiZNncvMAJKT9LMTQrPLGmw6c3SSIuL5um6wl+PfA5VLx0N2ar1Q3J680X8r8sS1pJAa3LMEBQiXNO4YOaJschdjNvDSOpI+g2J35OtSzHNxJgXabWbgX0HyFzHQQzaDjFgCaD8qn0fMk+m3gIKcgm4ACh/tFSprGgt9JABVnkgpDlgURcZMeQoRN+BktsILlMhOLSKeo4YBvFbJf3BTp4VsrSnTXWqqQ6fb34YWXsKM1vVFLtpWgrajWmOTpNb6/0skTzY9pn7sH/p0Uh5MOqlazuyGWt5SozPIncvMBN3Tj/QK+lFs70vb0gSKmpWJgV90ErXLabzg0EWGBtfL2MfwNL1iqNco5IYuKwnNrxawoOcHsTgvUZ+xFXvrUDrSB4bITj/BciipWnkWSG4TIbgMjZqVmcnsV6h9IL4cxrEnzPi+xJU58PSr9QML9cye7SF4DpTNQCKeAsx5BjEkLMxUoPxgbU0JGAMLAbt1PO3F9jMLE4Fp5zW76QukgIbQHDihyiKmNhsNt49/sB+1xS7abJSm6ftxvH1pNijG5rFjW04Axun7Iyhgfnp+X/4X5elWD9uGywNnro0AvahMGCgEr1SstnABti94DD8vfxjNIpHbqtUolGv2jiz9RKz6MmYMx1K1Po1hukhufV2nBg18uUYiPK7AY3cdky6i8mCWReD4PAHBOtCqoccuwEOXdRalnSBTRdzQEKpuSDSq9RD0HqI9r9DsM4f096GLvTkwi04QrCrDdjWUBVnxEKwzguk2Q0xYDEQclQ9s6PqzFoQnAcwKS7ljw5A+LUYr0t07ATBaaDWfepCDD0PMXCdai2Mcgf0NyG3ddvaWgdjojIIiHhI3eyAdYEoRRLFZz1/e1G9TazX6vA7RP+Hks9j/XKcePHk2gs8viqhqiSA2fHU6VxV5+D72N9ncefMgzhL3Zrr25bpe1ClVQXk/DVpDFm1wQOdkRVJinDpPiFXT2dkzBk1C7BzsMWcMxPxV81JLGUg0EhWFNlMjj4Z5RqXwuQWc5mFvUY1JU0mdwxe1Qtl65dIhFeVgiHVkAhqv9D1ngmAVU7IPPfo3AUrDpFniHO/KEZADFhq6IlADN4JwXqc6rkBKyEGzFPPeOjc5BBDDrIUJNzXQ5DHFQAgB3PBbR5E5RRA6aMyGJU5QVR8hfijmeq+GISwBnPyuhPcDJtRqs4rpk4nuROIvv2Zr5zgPDza6w9TqdAEbaKps/pea4j2zSA4jwToNbD1OV3BjgYOWoQO7JoBgRtUpq1x3jc5QE7u9smv6s9SuHH0jrTyiQh8evEZX95+01l0cmDZMdV1TEdRF+2fqtL7L+kOS4GnLo2gVN1iyJAjnSpIaYFGQE361YNVrLYAKlD558ViDF7xJyvdJcmvVsOboGn/+riy7wYLctFHRN6ffTGu8UzVqIkTbwRqyNbTwBx9jcgQVAFuOcRvFQHFawOfpQAiVKkiMfiwOphEbx5X/xvxGqLPn5IpQ0HmyMrzmaA1c0BYqw5y2l6nCITsZm4Kel9X+CP1eUU7H4b6ghi4GmLoFdW2olK1/kaN7JFBjghnLuOidyd1Sld6RidQwUqc1+cAwWMzYFM27lNsKkBw3wiBpXE58SEiLCKqjFLfdjr4+OKz5GeUguj7p59gSfAZnRFQOnHyvr8wtNpEBPoFRaYoZTIBSqWI0vWLo+2omH1SGuyd7FG/R012I/x//ETrzNqdsulDREFz7agtWHItYes7qRpqGreppO4xU2op4sgPGJEGUyp8VOofEY+MPBEZIHNVrXsFLo8qatEaEB8C4TcBTR+dBOxiE7xTTzCXqz34MkEMp4GTFQTbSoB9wxgBg20TfSan7XiBayHYVgDCLgKhuopBlEDEA0ChvxpYFFy0rgSQwo3gsV5VmRlGrTcC+3sIVgZWoHK0GkCf33EVz2681JuVcnR1QPrs6XQ+bu9oi/AQ8lDUDrUlOLpY1mCEBzojyVEkG1Y/mIeDy48zC/kg/yBkyZsJjXrXQdXWFQz2nyNRZlrU1YWoFNmH8r9XX5ApV9zUmb7SYd/v/szA1cVDd99WSoelHd2XQfw5R9VmEGnPQ03KtQDH7rRYpnfdVamMAPyHM/fv+KFUWe0ovYAIfa4TVhBDz0U1jEsSqvbikz42tUGIkcFVgBh6DKDUqfs6QJ4OYuA/QPAe/fJdYVfYmpwYuEN/CwbtUx8/p0MkYWodMwyB1k7Z+iknoetyYxvOYINrqb5cTZAqXbc4G7zromrr31hqUlf6k65dlVtWgCXB2wuSCFqw3TBxh6TcDrHwyjQULJfX4FHbtpn7WBDWVEMVKJsHf4xpnurNXEXlTyD8niqNF3oKCNe4IVsBdg0gOA+BIM8Y93m0FuXVAFC8i//B5fkheO5T+db5dNKzsRXg0A4ylzF6d8tmiN+Kx7NZnCo2nVU9f6zYxkDHB1kWlSGsiZruBY+dEGxI+5JjDr5//IFuhQYhNChMUk4wNq5pXdBlShs06FkrzmM0+O5ZdBjCQ8JYJis6FEhpYL7i7hyzS4Tx9oJkQNqsafQGObZdljQGB7m/ak1h5cHRS36f3njJ1vv2LzXSSDGFwRRJxHCA1qHC70V7JIJVT4o/focY8THO88SfsxIW5AinIarZpR7NSs35RFZ9xj4XxTcof86F8ltFKL8UhuhVG7AqYJh8VhwUgOhrXJAjlPQ3MuHYWPnF4E2pZUIMWAHlt6pQfikA5ddyUPrPYgU5HO3QoDfUyCBH+H33Z0pPu+cfivMYBbJZJ8bBJY1zZB+wJpNF5quzT423OB1MPqNLQr3MVhm669TCpIKX4tULY+ZxVaWePrbN2oe/x2xhaQOt+5MJ2PR2ucGBM6UR1Yzsq+NCLWfl/TL3JVHPoTTdtzKUs0vYwe1+h+DUB6KXan1WL+7rIIslWCxSoYr3H4DST3s1IkP/wMnSYALNNvqri0WlD8Qff2ip5KSZqQsEUlnha3hx6JxvAKuijC/WdtbY+Xk1cyqITXhYOC7vvY5nN17BylrOivV+rVww0YQL+IwuGWDvaIc+C7roDHIk1txjdgeD9kVjFSr51RXkNBz7+wxSLaFn1Yobuv5GCpbSFBU/ou6KeJLwIKeZtRgzK6Q+NjVU4agMuQjxR1uJ6kq68Mf+otvEc6aXiMjSsd5FQxD9pwGKt1pmnzQz9YfoOzhBDe4pFX2i8voIDw3HhV3/an2MTKBJeD5boaxMlzcxg5yx8GKUJKRetxqwc7TD2tGb8fUtNTerKFAuD/ot6oZcRWNqIyoUCnx+/Y2Zt1KvnqaNgT6M3z9Eu0Dr4P2TuKm51IIY8Uai2lGDElB8BOSaWa8pLpyqRnNqCjeY8Luqoys+QfTuDihe6XkCnacP4DxR1XYg2AI25SH69FTvKykc1/UjuEwwyDBWVHqrC4F0zVipWvUJEH4f4Ot9MchVLBt8vvoanbqMXmlOWpbRoQHF1hl7sXXGnhiBNHOejBi2tjcKV6R0umXBA10SU63Nb6jSqjye33yFn94BLIBRFWds9ZQ9Cw5j17yD+PGfT+RicdN+9dBmZFOWI9dn0ErVVBRUUy3KH4YFLlm0gMTWv+zUjuXxhfrFmjFrGeaiIPob8ByZyofuR3t14YeBkNRY2hNRRTUOHSH63YbFIbhCcJ0KwS5uoYNWwp8ZkJYVeKDTQuM+dXH9iKbwynjomuKRQa12o+af8dtZLYC2IpXhNSdjwaWpyFfKckTGCZ66tADItSB/mTysrDd2kKPR05yuy7By2IbIIKdZLN4waQcmt1Q1+VZoUpqZIuqCSoEr/q6lCTe1QE4CerEiuewYzdlwIPf2+KZjZIBNZcCmnEqGy7GPYU+zrQ6EHDEuyDFIrSSaJJldPZWLuaXg2AeC+zoI6f6FYFfH8OcJhhQ2iAZul7ogG6/6PQ1cG9aCTC6gcsvykb/T7HDbLNKQjQstnVBgXDeGejItCx7okoGQ9MkN53V+sMjL7uKuf9FmZDOVpaiWazKV/JLNRqk6qXi0SylJvUQAXtUhhl6IvIfaDrSqdOjFigUZwX1p5LqFzKmrepYojeDYDWLwgXgckxrIN0MZpmpop+OSQwC1NyQtKl1OmfMg5gpONj5GYV1E1QohiQBQIzwnBvQZGLS8J5MUJFUnY3Fyd4KTW1SW49z2K3FaCqJDge7WyfssIFoSPNBZOIdWnpScqVHK8tDKEyxVMGH3cFV6kiQco5X85i6eEzOOjokhFJ3q0Huh1BAG0acPxIj36guFHQT3vyG4ztPjDUcX89oQXP8HwXUBhHSXIHOdwvzWYpxGmh3Swc51LgTrPEC8S+ZFwLs5lCzdp7rQJYmhOru0qN3c7RpDcNPIixkP86wjYWmpY9nWhUDappw4CIKA+t1rYMPLJUwwXpt7uC4oc/Tmgeq7QFAAk+uQQIyO7zeqDrYc+BqdhUMFJEpdAqzqEdSHZ/+xn8s3KoXt/63C2a2X8fLuW9jYWaN841IWXQ2VWAj29SGStJbedTqVBiVJYgkuI1XPpbQjSWbZN2QqIqy3jhV4yKI0K+3qq+1ybHTvmfr4KIC5LgZIjitopTqlag1QO4HTEMis1BdrWmfTW4SiCyXwow3EtKcgUGGNYGBLieBEys5IMOQzx9Yi7QC7aqYJQI69AepzDNkTTapM/a91KQiu0xJ+jBSOIAgYv3MoW+64ffI+C3j6KrUJP6+odWXPzNT/q9R7HPdY63pJDQ90Fo6Tu2Okq4EuHF0c4mhqcmJh1wQIWKVukNZX2KBQazmqAl10BMdOAMl5Be+DqPgACG7M7ZrJVUn08CFwJcRAUvr3ifK2c+wB2OswubRrCoRdQvwJBIK3Ak79AIcmgB/pferBeazKRDZwdfwDHvt7NINg4vUylu50nQE4tIUYvEuVipalgUBOBjYVDare5IBdK2YeG4un119iy/Td+PcgmQtLk+6XKP8/kjlcPngday3QlWEqU7843NJGrXVbAjzQWTjV21bCoyuqNJSuRvAa7fQL6KZ2WNm9x0bmDmDQTIk0MHXuywNw7GpQRpC5Hfj0UgtLRxutKD5C9B8PRLyB4DIq2vahEP3GASH7Ddi7nmMH7QIc+wK2jQFhGiBKpZPsmCces/5x7MUk0sjRACSZxoIWpUCdgaC/VS4FWpEx+TJTBzkNbEBgU5RLhpng71igbB6M2zEUbTL3ZNXeuoJWwfJ5kTl3lDQeqaF0mdoWq0ds0ro9ZZG6TvsDlgYfBlk4NTtURrqsnlrX6eiD5ezhlKCqqtSEYPULBM/DgA2pjkiFKTlggFqHQQTvV8/MYk/J1b8HrYNIZfGae32HAiEHTNPDp/wPolctCKGHANf5kq9ZcB4caf3DilhsSkDm2AEyt+mQuU6CzHUiZC5DmQIJQBmE6J9H9X5tykJw6p3w8+YkCiGBIXDQ5TKgXufvPb9znIdaDmuMAUu7sxan6OQtmRPzL0xBjsK/wNLgEmDJgM9vvmJ8k1l4+/BDZIEJ6WRmypUek/ePQLaCWZP6FJMVYvhDpm0pheCxHYJN8QQfS+n1OxDxWKJpW87MRimgME84MlE1KaomecF5DGCVTTVbpPRk5MNOEJwGAQ4dDF7HJU1QMWgDQGaxykDAKjsEh3bM8shcszmONCTHdXH3NVah7f3Zh6Ub63atjnKNSsYoQiPpQXqfyRB6dIPpuHXins7+23rda2DIql46j0nuKw8vPWWWZdQsTr6blnqt54EumUBv0/3zj5kZKy0gF65UgBm4Ug8ex3jIW01VVBLdg031s+A02GQzE+XX4vqtdKyLQ5ZmOxMoRtB6M2lWWrFKUGrWRti/qiIYmTsryafKUlPCKlYpVUvFN9Qob1001RdDmZNAv0CMqD2V2XppvDE1AhIlahbBpH0jWAsSCU68vq+SosuaPxM+PFUVsUn50lFxm619zMrh5Hit52t0yQS6UBStWojdOAmHetVgVRAi6UrShZ8gc0/HLhBsK5rwQA56Ap1MpZhCMMFpc6FgaVRWph9LMFprdWjoJdXMT5ZWHQx1V5PGcBfwGwmEnox+r8rg1m0BF102E3N7rMCL2yq3e02Pm2aWdufMQwwoP5q1CERvK9AX5Aiaqb26+xYFy+dDcocHOguCpL4olXBm6yX4/whAhuxpWfogd7EcSX1qKRLBtjy7mRW7RkDQPxKzNDJlrac6H3kWiKa0wImBnFWJ6ptXicGHIPpPiaoOZSfmCjiPgODQQvfzRAVEnx5qbc1YryHiGUSvJhCpgd6hFQTrpG5gTzl8e/8dl3Zf0yloTdmfN+o+OENaCWKjr5UgucADnYUQ6B+EcY1m4sHFJ5FpBypAObDsOJr0rYs+C7tEpimpr+XE+nN4fvs1rG2sULZ+CfzWrEykyDPHchAcO0IM3qE2R4190ZAD8iysB49h/zsQsCgeR6EZob8BElnSvU1iyFGIfkO0POAH0X80m30KDjrWNklNJlxXqTpdYEOZaosYvAkiNXe7/S9OMz3HeO6df2xW14YNE7dj+Lq+SPdLWiRn+AKPhTC705LINgJN2kHTKE6mqdtn7WM/X9z9L9pm7YXVIzfhwo4rOLPlIqa2ma/ynXoZf98pjnkQ5JkgePwDyDS9SDQYUQ9IrPJA8NgQuUZGYsyC0wDjDyJPq9LUlLTlUbCGd8kZmf9MycPQmiZLa2p7jEmW6VPeUV+QQ0+oimI4CSY+szRjuH/xCQZWHAff75aldGIsPNBZAB9ffMaV/Tck3Qf+HrM1MqhRhRUTUFWKkakFsukZUWsKwkJ19ThxkgrBugiEtOcguC0BaI3MsTsE940Q0uyPchqILnzsMgWQZTR074BVPghO/aMkt7RtY9cYkOeAGHYDSr/RUHp3g9JvFMRQddor/Dag1DNQonRm2BUdj/0woohGyfoEtTm6c4yD+tzMiTJCyao4yT0lOcMDnQVw89hdrWLMsZndealqVKxlEEdB8uu777iw86pZzpGTMEhGjBqyZc7DIXMeAsG2rNZKRNbD5tAaQtqzENLsA6j0XxIRgkMb1kQtuK9maiEqaHZF+5cB9i0Al0kQfQdC9G4HBO8Fwi6q1F18OkD07Q1RQYoxhtodaYFSsMYavTL1GU5CILcT0q8k4XZtmKLaValQ4uja5P1e8UBnAYSHRRhUgkC9c0qF7i1pDe/qQdJz5CR3SNJKsC4IgVRKbKlYJfYFS/27fZtIdwXmDJD2PAS3Zaw3TnAey2aSMtKBDFgIhB5XP1cR819yXw85atiJ6ZhpChRMjWqLkKnXLTkJ5a/1/ZA+W9oYAt4svgnALwWzwN454e0jJO6cnDvRzBrovL290a5dO9bj4Obmhm7duiEgQFpDr2rVqqpRbbRbr166mxaTG+QSTsFo/fht2Dh5J55ef8EUBUwihKFUIiw4zBSnybGkgOc2D4LzX4AsfdQD8swqh26XSew7wqTGQk5B/DkNYuh51ZqgQwsI8gwQlf5AEHmE6fqQiarZlZwafgUJp/QMgE0Z7Q9bF2eN74ajACT0QTmGkyajO5bdmo0/53RE9oJZ4erpjFzFcmDAku5Yen0GZp0YzzRzE4KLp0uy7oU0a8N4vXr18PnzZ6xcuRLh4eHo0qULSpcujS1btkgGurx582Ly5MmR9zk4OBjc/G3JDePPb73CxN//x9bTyBWc/vSUA6c8+/NbrxERpltf0RCoWrPtyGboPIXMQjkpDSoYUamaUNBJHylkLEa8g+jTDVBQGbmm8jaC9ecJ7ssA6m/z7WWYQ0DgSnVAjH5ZUF3g2EzRrob0+QUuV/Umij8lDkTnnwZC2gsqZwiO2QkNDsWGiTuxe/7BGC0D1GAuyGVQ6BBpZtvIZWg1rDG6zWgHS8IilFGePHmCggUL4saNGyhVqhS779ixY6hfvz4+fvyITJliOmlHD3TFihXDggUL4nVcSw10X95+w5/FhiEkMDRO0Ql9kEiFQJe4qqHQh3bj66XJvhSYYziiMgiiV11A+V1L6pACoQ3gPBz4OUXvvgTXOWwmKPpPBRQvox6QZ4fgMhqCbVXDzomEqUMvAn5j1U3w0T/vqrVDWk+kVCvHhMpJFx7jyOpTrBmcNHCrta2Iam0qxFA2odakY3+fxZ3T99lzilQqiLrdqmNJ/7WsIC52FSddm9zTu2L5rdlwT29Z1jsWEej+/vtvDB06FD4+UY2nERERsLOzw86dO9GsWTOdge7Ro0fsTciQIQMaNWqEcePGsVmdNkJDQ9kt+ovPmjWrxQW65YPXY9/So5LeclY2VnpndaQn9/axqvFX885p+u4Gr/xTr0XP948/cG7bZWagSN5S1f6oCPd0lmWpwTEcMWg7RH+pUn3S0mxokBuC4HkUglUu1VpMxBOVd57cE7AqHK+0lajwghi4FAgiD7lgtQt4NQhOfVklKsc00JLF/J4rWACjohSasWm85kiDcs6ZCey7LgVVcq8avpEZPUe/BpES07C/+yBDduPdyVOFBNiXL1+QLl3MP46VlRU8PDzYY7r4448/kC1bNjbju3//PkaMGIFnz55hzx76ssRlxowZmDRpEiyd01suSgY5KiTJVzoXHl3WbcmjaSzvt6gr9i05ho/P/mOLziVqFEGrv5qgWLXCuH36AY6sOYVPzz8zS40a7SoxDykKomtHbsbOeQdVtXiUrlAoseqvDeg4sTXajmqWrHPwqRUx5ESkcLN2FCr3BJtK6tYAbSkqucq81CoX+419DqwLqm4JQJB7snVE0XkUoPSh7vlIhwSO6dg9/zALcoQmLamZmX1585Utlyz+d4bk99vaxhp9F3ZFhwktce/cY4SHhiNPiRzImk+7aS7NDMnTjvaZv2xuuHg4w5IxOtCNHDkSs2aRGK502jK+9OzZM/LnIkWKIGPGjKhRowZevXqFXLlUX8TojBo1CkOGDIkzo7M0gn7SiFZ6VObnJbWuoYLW9/KXzYN1feshLCSMuRnQjYpcZnZYhDNbLsUY1d0+dR/bZ+9D2QYlsHPOQbYP+goolaoLnkIpYt3YrSx1SgosnGQG09HUk5QRQ5gDt/ijDaCkQWb0AZeMpSsFN+lm8YTAdDLl0QppOCaDKrF3zTsg8bgSz268wpNrL1CwnP6eOwpYlX5XVfHquo4tG7QOpzddiDRfpUF07U5V0WteJ9g7mlYgPMkCHaUjO3eO61EUnZw5c7K047dvMXtzKHVJlZj0mKGULav6o798+VJroLO1tWU3SydTzvR49+SjzmsSBScXDyc2s6OgJwVZ9vRb3D3GB3LbjH04u/WS1lHdh2f/sZsUGyftQIOeNbmMWHKDBJPD70mU9stUCizyDIDnXoiBGwCSJKN+OHIvsG8FwaEjBLl0aotjuWIT3p+lxcBlchnunHrATFFJF5OCVdZ8mVD9j4pwdDW8GpPEKEbUnoznN1/HqDOgVOextWfw4dknzD453iKvIUafUdq0adlNH+XLl4evry9u3bqFkiVLsvvOnDnDLuKa4GUId++SSCzYzC4506h3HSwdsFZ3gilCiaptKuLx1ed69+X9xReTW8zB6C2DUK3Nbyy/vnvBocg1u/jIBNFskrylKP3JST5Qs7gYrLuKmYlGO7RXbStzh+A8EKAbJ0UgpaakQRCAkxvPsZYmGlBTujEiQoEVwzYwvzla3jAEGkg/vfZS+3kolXhw4Qku7bmGqq1/Sz19dAUKFEDdunXRo0cPXL9+HZcvX0a/fv3Qpk2byIrLT58+IX/+/OxxgtKTU6ZMYcHx7du3OHDgADp27IjKlSvj119/RXKGXAgK/ZafVUZqo/mgBmjcpzY8M3vEsNPQijpuUeAk80MyZE1oxSYR5C+dXuVYHuQEEKWPGdv1m4o/6gB2DZLo7DjmgIKKzzc/+Hv/ZMUmtOwghSJCif9efY38maUcRbCe25kdF+HmCcoI6OfomtOS1ya6th1Zczr1NYxv3ryZBTJaY6O2gooVK2LVqlWRj1NvHRWaBAWpFBJsbGxw6tQp1K5dmz2P0qTNmzfHwYOqtaXkjI2tNWYeH4sWQxvDwSXqg5kuW1pmS//n3E7MCfivf/pBLpfpD3bqWdiNY3cNGtUZQpZ82ls+OJaN4NQPgusCwKpA1J0kJu08GgL5wAlGSnNxLHY9buecA2iXvQ9aZeiO5p5dmdccZWF0XS8obSmV1ZEJMmyashOG8O29l2R2iLR3v72jNhfLgzuMJwFURPL59VfIra2QKVf6OC7hz26+wqK+q/H8xivpHQlg6gc1O1ZhH3zq0ZPcXF1yrO3LQAUuCy9Njd8L4lgMovKnulncjVfRprAgN6n5HPx76FYMKS7NdzpjzvTsmhL9O07fa7LxCg8Ll5QOJHZ+XQO3tNJtRn3LjMSLW690LpHQsSlrNf98lNiHpVzrudZlEmBjZ4NsBbMiS56McYIcka9ULgxc1kP/jkTALZ0rq3Rq0LOW1n1pPvAZcqZj1VGaEV70x2wdbDBouQHH41g8gsxZtRbHg1yK4tSmC0w6MPa8RBPUKMh1ntKaXTuc3R2RIUc6/DH6d7b+JtNxXYhOcECI3m3qdqkmWd9L51KnczVYIjzQWSh5SuRElrwZJV0NKDdfpn5x9nOXqW1QqKLK8j56GoPy5qR9N+PIGCy6PA2l6xaLlDOkIPdb0zJYcm0mchTJZuZXxOFw4gt5Ukquj1nJ4PvVn/XL7fmxHhtfLUWnSa2Rp2QuVniij08v9HtZUuaI+upiD5bZ8eUy5Pw1G6q3tbxCFIKnLi0YSlOMa6Lub9LyLtHaHlVzaqAUxamNF5i6wedXX5gMUM0OVVC/Z028vvcOL2+/Yf1zuYvlQPoc6eCZyQNObgkTe+VwOOanoWM7hOoRbP+1SkHMPTspjsBE64w9pJ8rAPZO9tj6frnedgMqgvlfl6W4cfROjOeXb1iKKaiQSEWqkgBLKlJSoCMu7b2GRX3XwOeLb4yZHAmsNupVW+/zab1vSqu5+Po25iIxpTFbDG6I9uNbxNDC43A4lkfztF3g/0N3ZTXN9srUL4GpB0bGeezM1kuY0W6h9AEEoO+Crmjanyyh9PPp5WfWjkQp8iKVCrA1wsSGB7oUFOg0C9GkcEKqKLQmV6pOUbbOp4//Xn1Br+LDWZGKrrc5f7k8mHN6Ag92HI4Fs6jPaibtF915IDY0o9K2RqZUKlHHurWkgA4FykrNy2Hc9iiVKUuHF6OkMEjiq3Td4kywuUKT0gYFOYJKkSllITWWeXrtBfYsOGLCs+VwOKbm90ENVGtjWpbpBLmA9NnTMk1bXQgGFCel5PolHuhSMKc3X9TfYycCm6ftwtBqEzCx+f9wbvtlttbH4XAsB6qiLFA+r9ZZma2dDaYdHqUzKyOTyVCYxCq0FJFooMFw0SqFkFLhgS6FQukKQ0qGidCgMNw//xhX99/EtLYL0KfUCGbjw+FwLIN1Y7biwXntYvmUtdmz4LDk81sMbaRz0EuV2VSUVqN9ZaRUeKBLodAozjOLh1HP0YhJv3/yCZNazGUirrdO3sPFPdfw9tEHM50ph8OJPrOKnVGhyklqL9C1BEH9a8fXnWMVkbqo0Lg0Ok5sxX4mvcvoQc7W0RbTDo2Cg7M9UiqWJzPNMRmNetXB+nHbJNfotEEjv0eXn6JF2q4xZoUFyubB4NW9kKPwL2Y4Ww4n9fLx+X/YPns/q5AkDUpy9W74Z200H9KQeVTqay2ggrU7px+getuKOrfpML4lStUphgPLjuHZ9ZdsrZ/6aKn9KE1Gd6RkeNVlCobsOAZVHIs3D96bZH8aFZWl12fqNGTkcDjG8fT6CwyvMYmZnUavqqTvG4lG/DG6OfOa1MfwdX2ZL1xqwZ9XXXIISkXMOz+ZKRqYoqKKZnq0nvfPhO2mOD0OJ9VDhslTWs1DWEjMIKf5vn18/hnXDt/SWm0Zm7yl4vp1clTwQJfCoUXm9mObw8nNyaAviz7oy3dx9zW2bsDhcBLGrRP3mSuArkIR9n3bcw12Drr7XGnmV7hSAWQvlNWMZ5q84YEuFTCvxwoE+gVKNowaA335/L77m2ZnHE4q5tXdtzGKQ7RBDt4hQbqdSej5f63va4azSznwYpRUsMhNrQOGosvKJ/Y2ialpx+GkVKxtrZiPm14kNgkPjZBUTOHwGV2Kx5i2ACo0qdu1uuQ2lCahUmUuBs3hJJyyDUroHVgawpN/n5vkfFIqPNClcGwlcvuxZ2m1O1bFkFW90HJoI53bENTns2HiDnx7b5luwhxOcoGql8s3KpXg9XO5hOoJh6cuUzzkHG4INKrMkjcT+7n7rPZwcHHA9tn7YriW0zakq3fz+D122zR1F7rPaIdWw5uY7fw5nJQEdXNRj+rlfTcQGhSK7IV/Qd5SOZmpqlYoAOqZ8NEA9NeqKVe+yxTwQJfC8TVQyou+LDU7VI5UVWk/rgWaD26AWyfvY8OknXj38D1bS4hdHbZ6xCZ4Zkkj2ajK4XAA/x8/Mb7pbBboSKidgpgiXI8pqp4gR0sJ1dr8xrwlObrh890UjpSQa3TIHSF2gQmZMWbKlQFv7r/TuWBOquibp+4yWn2Fw0lN0PdjXOOZkWtppGSiN8gZQP4yuTFweQ8TnGHKhge6FA4ZIqb7xVPvdm1GNNV6/9UDN/WqnpM25pe33xJ0nhxOSoYqnx9ffa7fTcQIaJBJvXM0IOVIwwNdCofSkC2HNZbswcldPAcKV8yv9fHQ4NDIIhQpSJ+Pw+Fo59Kea6p0pQmhQeaJf86xlChHGh7oUgFN+tZF4z512M+a5lRN8EqfPR0m7x+h05gxV9HselMsNnbWSJctrcnPm8NJKYQEkji66dP7EeEKPLryzOT7TWnwYpRUAAWx/ku6o/oflXB41Um8f/qJ9cHRIja5EusybCQqNC0NV09n+HsH6Oz3IZ2+g8uO8+pLDkcHvxTMalBjOC0TaNKbNPY0ZOnbFH14KR3uXsDRy+3TDzCmwXQmRSTF1EOjULZ+iUQ7Lw4nueDn5Y82mXuyGZg2KKhVblEeP30D8e7RRzi42DNLnb0LD+sNjJvfLU+VVZf+Rlzr+YyOo5cSNYqg7ejfsXHiDskv3I7/7eeBjsPRgqunCwat/BNzui1j6+bRi1Lou0NLBEPX9o5TWPLp+X+4eeKe1iIWel6l5uVSZZAzFr5GxzEI+sJJVV/SF/HBhcfMdoTD4cSlTudqmH5kDApVyBd5n7O7I1r/1QRzz03UWj057O8+yJQrvWoNXb2MzpbTBSBbwSy8tcBA+IyOYxAUyPRluelhtl5g2uIyDifFULpOMXYL8A1kruFuaV0kqzHd07th6Y1ZOLb2DI79fQbeX3yYQEO9bjVQu3NV2DvaJer5J1d4oOMYRIFyeXF+x1Wdj1MVJ6VfrKz5R4rD0QcVgxkqjE4Gyr8PasBunPjBU5ccndAMTjOLq92pKmztbXT21NFMjn8RORyOJcKH35w4PLz8FDvnHMD1I7ehUCiRs8gvaDqgAcbtGoaJzWaxNKbG/0pTDl2/Z03UbK/SyuRwODEhya8rB27i0aUnbJGtWLXCKF2vGORynudPDHh7AScGJzecx/+6LIVMLkQGM40Za/U/KqLd2ObYv+QYLu29jvCQcOQukQNN+9VD+caldDadczipmVf33mJso5nw+vgDcmtVYCMRBioyoZYcsurhmPdazwMdJxKvTz/QPkcfSbfi4ev6sjQmh8PRDxWPdC80GIH+wXFaBCgb4pbOFWsfzedGxma+1vM1Ok4kR1afllRioJnd3kVHEvOUOJxkzaEVJxHoFzfIEXSfzxcfHF9/NknOLTXBAx0nkhe3X0uqq1P68vW9t9ySh8NRF2u9vPMGl/ddx4OLT7T2kJ7ddhlKpcR3SgQ2TtqJYKaFyTEXvBiFE0mQf7DebeQ2VnwtjpMiiAiPYE7f147cYvJ2eUvmYmn52L6M2nh46QkW9V2DNw/eR97nmdkD3We2R412lSLvCw7Q/50K9AvCvB4rMGbLoAS8Go4UPNBxIr+4D6giTAJyPijXoGSinROHYy7+e/UFI2pPwZc339jnmmZW57Zfwd9jtmLUpgFMWksXj68+w7DqE1lFcnS8PnljZodFCA+LQN0u1dh9pF7i89VPrw/due2X0W36H8iQPZ2JXiEnOjx1yWEsH/KP3pQkqa+3GNoo0c6JwzEHYSFh+KvmZHz/4MV+p+IrpvyjFNnMbmqb+Xh+65VOf8apreerCrZ0fF1WDFnPtiMa96lrmNmqCFzZdyMBr4ojBQ90HHx49gnPb77Sa5dFvnYFy+U1aJ8UNO+df4TZXZaw0e/0dgtx49gdyfUKr/+8sX32fiwd8Dc2T92Nz2++GvtSOBy9XNj1L76++661upg+t5SZ3zn3QJzHQoJCMaDCGHz/+ENvKvLfQ7fZz9R2U7xGEYPO69i6Mwa/Bo5x8NQlh6Vc9EFf/ow50se5n7ztDq04gafXX8La1grlGpZCjfYVsaTfWlzcTa7KMnZBoVLqs1svoXj1wpi0f0QMjT66uNCC/Kapu5huLWtCV4pYP2EbC66953fmjbUck3H14E3IZIJOfzj6vF7ZfzPydxqcnVh/DmtHbYbvd3+9+6fPL/XMsZ9lMozcNIBZ9OjzjaP1Puq5Iyk9jmnhgY7DhGP1QVlN9wwxt9u/9BiWDFirCkzq0fGDC0+wbuzWSO86zahZk765d+4xFvddg7/W94vcD7UsbJy8U3UcdmFRxDgGqbrT+gWHYwpCg0L1mqBGhIZHSuD9r/NSnNp0weD902fdPb1r5O8e6d2Y19z5HVckn0fizjQY5IHO9PDUJYctmOf8NZtOHUvC3skO5RpFFaLcPfsQS/qvZZFJE+QIujCEqy8S2qDR8enNF/Hjsw/7PTwsnKUpdSICuxccQqBfYPxeHIcTi9zFckhaTtH3IFvhrKy6+OzWy0YFOcLO0ZalLKPTbuzv+p8oAAG+QUYdi2MYPNBx2Bf6z7mdIn/WRtfpf8RIN9IahtTFQt+I987pB+znx1eew//HT8ntSWrsxrG78ToWhxMdGoBlyJlOb79o03712c/7Fh9haU5jKPRbPtYusODPlbhz5gE7Zpa8mWDrYCt9bgolMuaMuzzASTg8dcmJdBGfdmgUFvRejW/vvscwhuwy7Q806lU78j764t4+ed+wajIdbJm+h7UzUFrHEIJ+8obalAbN7mmQY21jBUdX80tgBf0Mxuh60/DoyjPdGwnAb03LoE4Xlczdq/vv9KY5Y3Pn9EOW6xdkMhxefQqFK+bHlAMjUa9rdRxYflzn94ZmkrU7VTHuRXEMggc6TiSl6xbHxldLcP/8Y1aV5urpghK1foWNrXWcbY398sfmw9NP7GYovxTgwrcpqVF778Ij2Lv4CL5/UBVt5CudG61HNEWl38smaN80CKPiKlojTps1TQx/RBIrlwxyAMrUK45x24dEFj9ZW1uxjII+KBOiSddHBjL1WvPjq88xre18jNjQnxXCfP/0I0a6n1VgiUCPWR0MWi/nGA8PdJwYUJUYWYjo+1LnK5Mbz66/TNCszqDzkQvInCcjClXIZ9bjcBLPrmZi8zm4fvh2jHXcF7deYXKLOazoqM3IZkbvl/ZFzhtbZ+7Fx2f/sftI4aRxnzpoO6oZawm4tOea3v1QUKKZphyqQFe+SSmc23ZZUuicsLKxYmvT2qDvyM3j9+D92ReLrk7D6hGb2D4jwlWBMHPujOg4oSWq/xGlqMIxLXyNjhMvmg9soDfISRW3GLI9rQFa21hj+Lp+XHYshXDin3O4duhWnGIlTYZg7egtrK/TWNaP28ZmbJ+eq4IcQWnRzdN2Y0yDGfj34C3VzEkPAT6BePfoY+TvLYaoBBK0fv4EMDPi/ku76wxy0T/LVw/chEcGd4z4pz92fFmDJddnYs2j+Vj3dCEPcmaGBzpOvKjcsjya9q/Hfo5elEJ9c1QmPWrzQHSZ0hZO7gauvQhgqSZ6LtunTECFJqWx+N/pKFA2j3leBCfRoXYRqQEQfZYOrzpl1D7fPHjH1nyJ2MW+VFhy99xDPLz0FIIhkU49O4xeoTl2+xA2Y6Pzppvm8+6ZyQNLb8zEr5UL6t0nPY8UWTQ4uzshX6lcyFYgCx/EJQI8dcmJF/Tl7LOgC0rWKoq9iw7j2c1XbD2DglOzgQ2QvVBWtt1P75+sT06TptGJCOQo/AvWPJgHP6+fcPZwgqOLQ+K8mFQAXbzvX3jM0nchASH4pUAW1OpUBW5po/q9EoN3jz9KNk5TloACl7H2UhphAm1QGHlx57VBrhv2znZx1oMrNiuLrR9W4Pi6s+xzbmUtR6k6xVClZXnY2NkwxRSqqKT+PF2Q0WpO3h+XZPBAx0lQsCvXsCS7SWykP8ipR/IU6Kg5nG6GQhevtw/fw/9HANJnT8tFcbXw0ycA45vMYrMa1YxZZKnCtWO2YOCyHqjXrUainQul+jRiArpmPnbR2lgM4d2Tj5JraBTffvzng4y50uPzK2lZuca968DWPm4bABVmtRreROtz7BxsJSsq6TW5eDijQpOYvXWcxIOnLjlmgxrDd86JqxmoDRrl1+9R06j9X9l/A90KDULPosOYnmaHnH0xvMYkvL5v3IwgJUMDgYm//48VWWiKQSgo0N+bZhnU73X96J1EO5/KLcqx2ZfO81WKqGhk5aWjq4PeXjcSPKBqSmrm1kXRKgXRcVJrxIfOU1oz4YXYvaX0WmkGOHb7YLbezEkaeKDjmAXvLz74X9elBm/fa16nGM2yPl99sWfBYawZuQl7Fh5mv0fnzJaLmNBsdmSFnQZKzw38bUxk+osu9GESSi0pnSfXXrB2EV2FQxQgqGDDEGiNiWaHUsLc+mg+uCELBtrWpWRWMmTIkY6lBLVBxqbXDt/C32O2sOITUueh95XktaTaXSjYVGvzG/KUyImVd+egTpdqbM1NM9tK94snBq3oiVknx2ttpTEE6gNccGkq2o9tESn/JbeWo0qrClhybabeSmaOeRHEFHYF8Pf3h6urK/z8/ODi4pLUp5NqoYvnhgnb9fbb5S2VCx3Gt4xMf2oEnrdM382eK5fLmO8XXZDbjWmB9uNbsAq3Vhl7MJV4bdCFNH/ZPMj1azac2HCerZ1Q4zvNGFsOa8zSULqg41Ov1Ytbr2Fta43SdYshfba0SK5QKfvu+YfYTE6K3d//1mk4+vjf59g6fQ+uHbnNZlyuns5o2Ks2S+U5OBueZtZw+9R9TGoxhxn9slSqoFrDypIvE2YcHaM1/fzm4XuWflX5x6kKlug1ZS+cFRN2DWOPfXr1JWZ/mjqQW9vZYOXd/7Ey/ujvMwV/zb5MCe07NDgMNnbWrF2Hk/TXeh7oOGaBLmSX917XO5M6Fr4thjMBpTpX/bVR5/Z/zumItFnSMM8wfTCx6WgzGfqdnrvwyjSkyeiu9WI6rc18VjBBI31m2QIBVVpXwJDVvWJIoCUXSI/08KqTetdJt7xfwf422tLD9F4Ssf+WOYr8gnnnJ8cr2AUHhrBesmc3VMUdpesVR6k6RbW6VNBsvluhwWxgE3tmSrNAqn6cdXIcprddgBe337DgRRNGes1uaV0wYc9wFCyfF7dO3sfxdWfw5e13pMngzopxyjcqZZZgx7Gsaz0vRuGYBbLsYcFCIZ1Sij7iJbPKTVICzzRTnLobLYY2jhPEtBH7cfqdVCno4k+zgOiQEsyQyuOZTBShqQwUIeLCzqvw++6PWSfGJUopOPnwnd50Ed6ffeCR0R01O1SOd5ENBaMIPbM5WuOKrravITggmDlms1SlqK068j17P3rMam/0edGggYpgDCmEObj8BAJ9g7SmTGkG9+2DF+6ceoClN2bhwcUnTBeVRMBDAkNZ9S6lbjdM3MH0VSkw0nPo83PlwA0UrJAP04+M5hW+KRw+r+aYhXINSkoGIrrglG1QMkbguHvmIYL8pdXbA3wD4ffdL96KLHSRu7zvOjN5jc6uuQcRFBCsdb8aEWoy7KSZiLmgC/mKof+gY+5+zLboyJpT+GfidlZk09ilA1vzfHnnjVH7rNa2IqsK1BWg6YLf8M9aMaSyNJzddkX1enWMVejvQrNFcqAwJ2e2XpJcF6RXdnbbZfYai1QqwApPjqw+xVwHDiw9hnXjtkaKiGtSm5r3+em1F5jfc4VZz5+T9PBAxzELFZuXY4v8uhwOaKZH62XR0bXmpm2WoikmiA80W3v36EOM+2gtL/b6Tmymtp6Hpm6dWCrPHJWdW6btYetpzPpIoVSVzKuDTHBACJO46lNqBI6uPW3wPimt+Nc//WM0OsdOP/4xprnW51JBj5WetB69Zz5fYhYKmRp9nwvKjtMAiALu3O7LmR+iprKUpWwlsuf0d76w8198ex8lZM5JefBAxzELVL1GVWyemT0iNStp6E3FAZSyHL6+Lwr/lj/GczLnzWTQvtNk8mDptgSdn51N5M80W9A3k4zcVkHu0zfQr9woPLz0BKaCZk7b/7dfchu6cNO64fyeK9l6oqGQUPLcc5NQsnbRSBkslzROTANSao2NZoKGrODb2Ef9Lc1B1nyZJC2h6PNEBUPdCw9hTd3GQn/Tu2cfJfAsOZYMD3Qcs5ElT0ase7YIIzcOQOWWFZj9SYcJrbDp7XLU6hDXjiRvyZxshqHrokb3k0Hs8iHrmeKKLvQto1EFJolSR+5XJoNHRsNV49lsKywCMzssTlCpfXQobUuKJYZAg4b9S47pbe+gtT6a5dCFnNbTmA6kOnDZOtqxKkupvrIKTctIVmvSLDF/mdxmV1dp1LuOZKqaZm80w/7yWroZXAp9Vamc5A0vRuGYfWZXo10ldtMHrbEMXdMbQ6pOYOoZsav8yLeM9kMl81JBwDOLJ7w+eOlsbaCy+Nj9Ug171samKTsNth+i7aiAhdZ+SAYtoVDhhKHQhZ30G7Vxae81ViCiWctzcHFgvWmv772NIWr8/b0XGzA8u/GSDUS0reFREPu1SkGmqKIt0NAMs93YFgafNwVcsqnZt/goOy6tC5ZvVJJJxuWSkMeq3LIczm4rxYSZtVXxlqz1K6uoTAgFyuVN0PM5lg2f0XGSHAoY1AQ8usF0ZrPS+q8mzAdPc2GmizD5hC26Oh1vH39ghSy6UCpEeH30Qpn6JSLTWvR8jRpHk7510eqvuFJOzQbWR8ZcGYxzTReAK/tuYHLLuayApGexodg0ZVec5va3jz4wvU9qfH9x+7VJ/Pa0BSYKIJOaz8ErCmpqKCXLghwRO0aI1Hh/iQUfXceYsHsYK80nqAyf/T3V6eeBy3tKy79FP5QoYtmgdZjQdDbunXvEeujIXYAKRvqWHoGLu//V+VxqORi/cyg6TW4N17RRZeSeWdKg9/zOTGggvi0C9FmiYK7RZuWkTHgfHSdJObLmNBb2WsnyjTRrYC0JShFpMrlj3M6hcHJ1gFs618gm7ymt57GLopQwMHE4eDNe3HqD05suwNfLH+myejJFDNLT1IXvdz8sG7QeF3Ze0es/Fp3ogsK0BmnvYo//nZrA1ien/7GQKXhoFPvpvGmmRIr4sRvR+5QegVd33+qtKKWLM2ky9l3YNfI+r08/0C5bb6MNcSmwl6hZBDOOjtUrCH1RXXWaNV9m1Olc1SiTUHrPaEAg9Tfc/G6F1v7G2Kat1Af3//bOBTymM43jb0QSIkhTKm7VRC6KRFDS0EpUVqyU2Lbq0iJV17JEskjaElHKoq0iBEWS1rp0K24pcYtL0dCgIkiFPO5hsSGuafXs8/+yM2aSuZwZGUnOvL/nOc9kzpwzc+bLN9//fO/3XtDOyG0KEYQDChx1TDU/4j0gll/t+0z0D6ZywQHjLHSVAtzZ/6PLFJ1ecRiAEUOWdGa+lpkRMya43usVAxui+m71KDl3gdnXBcHDms/0fnPpzg39a4H6wLXD2aOmS026fOZqqWvFoA6HGqSjcnKuoeXlGPH6JGHGNCR2OP+bE19RIw3nHdEucd+btWb4fEMXWn1xMVmScZ0mFRc1NfC9kKbr439FmPzemxal0bxR3xg9DrM+3HwgjRkCybsN7kKhw4NFwmVG2WM9my6ZcgNehvpSJGFAvHHppphFaNLtwzcMv6lE1Gt0cZ08c4FzRZsuvqKenjng2guu36GLpy/rHNgx+0PF6y3faIcJuPk0ofhDM8WAr8uEin0QuZiVEVoiBy7B0cTMWHZHJ8tnfEG8mrGZKmLh1i/YYvJ7375p/GakcbOGtCBjBn2Xt5A2FCRT0pkFwuuURc46YKFjygXMPDLTjhkOKretQoe2HNHah3RPKC1jiDsGPDJNIXRYMIVP7auOQUOSXkOZ900BJsxtybtL7YeAwTlkw+1kmpM+hd7o/xo19HQVOR3fGhtKy099rTPpMYKkzcnagu+FoHJLYyNz7TMhMlF4jMplz9oDlDR5jcFjWgU1pyW/ziGP1m6y35dRFux1yZQLGOiNrSfhmN911C4LQOXxvy/TW9cMXofNA7ypbVdfEQy8KSFNzK4QL4ZBvedHIeTiangtCEA43vv0bQr5IIi2J+8VTjNIaPxqj7Y0JuATelr0mUWxmrAtcbdwzMGsFthVs6MWAQ/0Jl5+/e1XafPi7SaLXI1a1YWglyW4fpgpkToNwd6NvOqLEjhI5gxnIUOgT2xL2kN9J/aS9TlIHo7/k6EVmIFT+ujM/MJYDxb770+fPp1SU1Pp2LFjZG9vTwUFxrMnoLPGxsbS0qVLxfEdO3akRYsWkaenp6UukyknsF6CWcr57Ev6BykbxNY1LbV767JdBh0PMID/8OUmkZ4Kwd2qvJgwJ66akUIb49PEbAkxeXKo0/B5YeZSgett0qIxXUC1bDOXuDFLhNu/LpbFrKQ1s7SDx39/+DttWb6Lsg/m0Nf7p5cK8vZ7oyW97O8pKmAbS70GYUC1ABdXZ/psU7Qs0ZcLcoXGvT2bjuzI0iryCow5EInrq1KlON5PBrfyC0R8oCFwDch96dupucxvwCgRi5kui4qKqHfv3jRy5EjZ58yaNYvmzZtHCQkJlJGRQTVq1KCQkBB6+NBy+QWZ8uNvY0INihwGqW6DO5d6KWvfSYODJgb6X/dk08GNxW7zmgM//r53574o64L6ZgDrZQgBwH45QCh6R/V4qhp3uP6/Dumis1p2SZHTvHakLkv5+kedAjFtcwy16OCtvsZS110FtRhsqEPPdjT53/8Q61UefmVrzvu8/1w6uutEqSKvckROBWL/5IByTcZAM/z+sEj2ZzPKxGJCFxcXR+PGjSMfHx9Zx2PQmDt3Ln366acUFhZGvr6+lJycTFeuXKH169db6jKZcgQiBscLoHK/16xqEPPdGN1ZN2SsRYkBVo8QQTBghkRuydH+MdT/xRE01CeS3qk7mGaFLyiV8FkXXQcFiZg8oBnXZ8o6WVLsGmHOKzlbNRQniK/0w9epOl+DWROpvnpH9dT53YsF5086uiuL2v/Vr8zL08BrNCO1uGadPgxlYlGJY+C7uguvlgQelE7PPfFa1QVyXTbltTmrp8I4o+Tl5VF+fj4FBz9ZL4DrqL+/Px08eLBcr42xDBCz6O/G0ITE0cJRAM4eGAhRMRrB4XjURevOLbWEsdT7Iq+msc+2rSJKt/yWeVZrUETl8tHto0VcmiEgaKPmDRale1DTDGZImGL9Q9vI9n68eeW/9HH3z0WhVxVXz+Ub9U4svFlIJw8+Oack+zcc0nsNMCPe/e892r3mAJU1WA81BkIn9FYYt61Crbv4yM5SgnW3N4d3FfFwukAfgRDqq1jOWA8VRuggcqBevXpa+/Fc9ZouHj16JOIpNDemcondXwYG0sLD/6Stj1bTpsLvRCyV9yul1+ZUIPBblJ7RM8AZc3goPqZYTErOPjATLLh+m5Z/ssroe2CwbhPsS1N+GE/fno2npce/pKhlI3UWDzWUpDlx0mr1PidnJ70Dtyb66vYhi/+V3HyDGfsxk8ver18ozSXnl1xZx/19wRByrF28xoiiq6pQChReRSYWU2bFcBby9vcs1RdgFcD3nLQmUiuBN2OdmCR00dHRohMa2k6fPk3PkhkzZoiZn2pr3JhT+SgdmOg+2xgtBjDNeDOV6//w2QPphSbmZ7qA2KWv+kkU7zQVmFrfHa9dfsiY4CJzys2rxS71nft1lCXUh7ceFYHPJZGbwqyswiQ04/iO/L/mmzG6vP86rb2yVIRRvD3uTXp/0jsieH76ZtMLoOKGZ/aOyTR05vvqTDMo4RTUt6OIScSNCMOY5HUZFRVF4eHhBo9xd3c360JcXV3F47Vr16h+/frq/Xju5+en97yYmBiKjIxUP8eMjsVO+bQKakGJOV9T6pIdIlcjwhBaBHhRz4+6CTMoBrv4sct1nmvMHV1lxvzPpVtUo7bhNSBdhH/WV8xUERCvLwSiJHdu3BHpr2C6w6NK+PTy/xpsNZ9z0toNocD3R75LfWtlWAcrSwFAhYTokGnCk9MYEGJUFwfFib6NJ/s2hkN1B1HbEBu+mz7TKGO9mCR0devWFZslcHNzE2K3c+dOtbBBtOB9achz08HBQWyM9QG3/0FxfcRWkp6jQigv+wL9uGSHOhclxj4M/TCbIamwMU9Ax1q667QZAyIHsXtrXCgtGpdIO77da/B4mN2QEkx1btjobkZNp1XtbfXW5EN1Bng/6v6w4rUtJJn+z8Wb1DU8SCsNmTnsTzkknHvk0OTlRmRJytrBhlEGFluju3DhgoihwyPcuPE3trt3n5hbmjVrRikpKeJv3IFFRETQtGnTaOPGjZSVlUUDBw6kBg0aUK9exoNHGUYTCEbEomE0Z9cUev2dV0XMXMvXX6YxC4bQF+lxBkUOwuPdzuOpE/0ivRQSL9s56L+fhIdlx7B2WoHgCDswNmD/UfSY3q4zmIb4RIqK45o5LuHJirUrnSZKCef+QVn7TlFCVBKFe40R3pIXTl8WiZdhEn30QH7JIIA4NbkmU1SJYJhnjcWSOsPEmZSUVGp/eno6BQUFFX+4jQ2tWLFCbQ5VBYwvWbJEBIy/9tprtHDhQvLykl8ripM6M3L456D5tHPlPt2CZ0P0eerH1K5b6zL5LJTP0WVGhTjAyxQ5GFERQJN1c1NFvTi5eL3SlGamfaplykRJoE0J2+jX3SfoSq7uoqSi5I5tFWGq1ZzJ9pnQi/pG99Kbi1T1e8VsdcGYZWKGbIx23fzE2irPupiygKsXsNAxRih69Dt9NSxBDNQQHHg6YrCH8IxbPJze6P/0a0eabEvaTYmTVwtzoQq/zi1p9PzB1KS57jXl7d/uESEQ+XnXZX1GrTo1hfdqyfI/Yzp+QjlIqmxiCR84ioz4YlCp/Rgyfss8JwrVohiqHJA6bfXlJZyKiykzWOhY6BiZXM69Kiok3LvzgBp61hfByipnibIG5sXffjlLdwvuU0MPV1EwVM45SHOF0kTI9GIsxs6zrbvwNlQ5YxQ9LKJQx/fMu2AbouQzC7SuE04us8MX0Nlfz5v0VmMWDqUeI7qadx0M85RjPd9eMVZNQ4/61Df6SR5LSwIzYLP2niaf07TVSyK43JjIgTOZ5+j0oVyR9xKYOosr+dmY8Q6I7S2eX8y5LOrKPbpvWkot3Dx0H1o63RnDWF3AOMMwZHbqLBUww57Yd+rJeY4OIgG1Oe72OEczQwyKu0Lk5Aiu6nxkvUECALlB9AxjCVjoGKYS0DGsvbzUYliJKCFq74x708wE1BI95+os/np4/xHtWXtQtsip1gyR9caQQwvDPAu4BzJMJeAvgwLJuY7xNWeYKv06tyiVMk1VBUJuGABA7GHwgEDxN4LTDZVGKgnCGjr3KU7YzTDlDQsdw1QCkPFk1s5YUUncUExe8wAv8mzjXsqEGLl0JE1ZN558A5tTTRcnkfkfs61qTtV0i58NUY+RXamRZ3GWoprP1RB5KeUAD1Y7BzuOmWMqDOx1yTCViPt3H1BUUCzlHskrNmWqfr02RA2autIX6VNExhi5nDt+nmZ/EE+5R/PU+xyq29NbEaE0aGofrbU1lDBCdQfM9AxRu04tils/QV0bj2EsAYcXsNAxCgYhBz9vzqTUpTvo8pmrVPv5msLEGDygk9mhEQguP3/yEjk4OlCbYB+dyZWvnrtGH7WbKILDda3VebRxE7XwXnvLn+wd7My6DoaRCwsdCx3DWASkCkOg/YmfTmtVBO8X8zfqMyGMkykzzwwWOhY6hrG44GEGiLAH304viwoCDPMs4YBxhmEsyovNGoqNYSoD7HXJMAzDKBoWOoZhGEbRsNAxDMMwioaFjmEYhlE0LHQMwzCMomGhYxiGYRQNCx3DMAyjaFjoGIZhGEXDQscwDMMoGsVlRlFlNEN6GIZhGEaZqMZ4OVksFSd0hYWF4rFx48blfSkMwzDMMxjzkfPSqpI6o4TJlStXqGbNmhUikzruOiC6Fy9e5CTTJsDtZh7cbubB7Vb52g3SBZFr0KABValSxbpmdPjCjRo1oooGOgH/gEyH2808uN3Mg9utcrWbsZmcCnZGYRiGYRQNCx3DMAyjaFjoLIyDgwPFxsaKR0Y+3G7mwe1mHtxuym43xTmjMAzDMIwmPKNjGIZhFA0LHcMwDKNoWOgYhmEYRcNCxzAMwygaFjoLMH36dOrQoQM5OjqSs7OzrHPgEzR58mSqX78+Va9enYKDg+nMmTNkTdy6dYvee+89EXiKdvvwww/p7t27Bs8JCgoSGXA0txEjRpCSiY+Pp5deeomqVatG/v7+dOjQIYPHf//999SsWTNxvI+PD/34449kjZjSbomJiaX6Fc6zJvbu3Us9evQQmUfw/devX2/0nN27d1ObNm2EF6aHh4dox4oAC50FKCoqot69e9PIkSNlnzNr1iyaN28eJSQkUEZGBtWoUYNCQkLo4cOHZC1A5LKzs2n79u20efNm8UMbNmyY0fOGDh1KV69eVW9oS6WyZs0aioyMFC7dR44coVatWol+cv36dZ3HHzhwgPr16yduGo4ePUq9evUS24kTJ8iaMLXdAG64NPvV+fPnyZq4d++eaCfcIMghLy+PQkNDqXPnznTs2DGKiIigIUOGUFpaGpU7CC9gLMOKFSuk2rVrGz3uzz//lFxdXaXZs2er9xUUFEgODg7SqlWrJGvg5MmTCHORDh8+rN63ZcsWycbGRrp8+bLe8wIDA6WxY8dK1kL79u2lUaNGqZ8/fvxYatCggTRjxgydx7/77rtSaGio1j5/f39p+PDhkjVharvJ/e1aC0QkpaSkGDxmwoQJUosWLbT29enTRwoJCZHKG57RVQBwJ5Sfny/MlZo53GBeOXjwIFkD+J4wV77yyivqfWgP5C7FDNcQK1eupDp16lDLli0pJiaG7t+/T0q1FGRmZmr1E7QPnuvrJ9iveTzATMZa+pW57QZgNm/SpIlIWhwWFiasDYx+KnJfU1xS58oIRA7Uq1dPaz+eq15TOvieL7zwgta+qlWrkouLi8E26N+/vxiMsI5w/PhxmjhxIuXk5NC6detIady4cYMeP36ss5+cPn1a5zloO2vuV+a2m7e3Ny1fvpx8fX3p9u3bNGfOHLHuDrGriEnjKwL5evoaKhw8ePBA+B6UFzyjk0l0dHSpxemSm74fjTVj6XbDGh7uGuFkgTW+5ORkSklJobNnz5bp92Csi4CAABo4cCD5+flRYGCguHGqW7cuLV68uLwvjTEDntHJJCoqisLDww0e4+7ubtZ7u7q6isdr164Jr0sVeI4fmjW0G9qgpGPAH3/8ITwxVe0jB5h7QW5uLjVt2pSUBMyztra2ol9oguf62gj7TTleiZjTbiWxs7Oj1q1bi37FkEl9DU495TmbAyx0MsHdHDZL4ObmJjrJzp071cKG6T7Wpkzx3KzM7YY76IKCArGW0rZtW7Fv165dopCuSrzkAG8voHnDoBTs7e1F26CfwHMSoH3wfPTo0XrbFa/DA04FvFqx31owp91KAtNnVlYWde/e3cJXW3kJCAgoFbpSYfpaeXvDKJHz589LR48eleLi4iQnJyfxN7bCwkL1Md7e3tK6devUz2fOnCk5OztLGzZskI4fPy6FhYVJbm5u0oMHDyRroVu3blLr1q2ljIwM6aeffpI8PT2lfv36qV+/dOmSaDe8DnJzc6WpU6dKv/zyi5SXlyfazt3dXerUqZOkVFavXi28cRMTE4Wn6rBhw0S/yc/PF68PGDBAio6OVh+/f/9+qWrVqtKcOXOkU6dOSbGxsZKdnZ2UlZUlWROmtht+u2lpadLZs2elzMxMqW/fvlK1atWk7OxsyVooLCxUj12Qii+//FL8jfENoL3QbirOnTsnOTo6SuPHjxd9LT4+XrK1tZW2bt0qlTcsdBZg0KBBomOU3NLT09XH4DlcmDVDDCZNmiTVq1dP/CC7dOki5eTkSNbEzZs3hbDh5qBWrVrSBx98oHVzADHTbMcLFy4IUXNxcRFt5uHhIX5kt2/flpTM/PnzpRdffFGyt7cXbvM///yzVrgF+p8ma9eulby8vMTxcP9OTU2VrBFT2i0iIkJ9LH6T3bt3l44cOSJZE+np6TrHMVU74RHtVvIcPz8/0W646dQc48oTLtPDMAzDKBr2umQYhmEUDQsdwzAMo2hY6BiGYRhFw0LHMAzDKBoWOoZhGEbRsNAxDMMwioaFjmEYhlE0LHQMwzCMomGhYxiGYRQNCx3DMAyjaFjoGIZhGEXDQscwDMOQkvkfwrMNpJU8p6gAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "markdown", - "id": "c368f2fc-6467-47a7-9b80-75e6b61a3f08", - "metadata": {}, - "source": [ - "Simple Mapper (no parameters except input graph)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "daf93fa0-ab2b-421a-9e04-59bd134a7ca4", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "c:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\mapper.py:17: SyntaxWarning: invalid escape sequence '\\c'\n", - " - The values are integers in some range, [n_low, n_low+1, \\cdots, n_high], although we consider the funciton values to be [\\delta * n_low, \\delta* (n_low+1), \\cdots, \\delta * n_high] for a stored delta\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from cereeberus import MapperGraph\n", - "import networkx as nx\n", - "import sklearn\n", - "\n", - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-1,1,7,.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", - "graph.draw()\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "b566c92f-ea69-4c08-afb4-63763275ce0c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", - "graph2.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "4bff9e8b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from cereeberus import MapperGraph\n", - "\n", - "graph3 = MapperGraph()\n", - "graph3 = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(-6,6,12,.4), \"trivial\") \n", - "graph3.draw()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.13.4" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index b01086d..39c63fd 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -1,20 +1,13 @@ -#This is probably bad -from asteval import Interpreter -aeval = Interpreter() - from ..reeb.mapper import MapperGraph - - - - #Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point def __runlensfunction(lensfunction, pointcloud): - lensfunctionoutput = [] - for val in range(len(pointcloud)): - aeval.symtable['x'] = pointcloud[val][0] - aeval.symtable['y'] = pointcloud[val][1] - lensfunctionoutput.append((aeval(lensfunction), pointcloud[val][0], pointcloud[val][1])) + if callable(lensfunction): + lensfunctionoutput = [] + for val in range(len(pointcloud)): + lensfunctionoutput.append(lensfunction(pointcloud[val])) + else: + print("Invalid lens function") return lensfunctionoutput diff --git a/cereeberus/cereeberus/reeb/mapper.py b/cereeberus/cereeberus/reeb/mapper.py index e76b2f4..c2acbd1 100644 --- a/cereeberus/cereeberus/reeb/mapper.py +++ b/cereeberus/cereeberus/reeb/mapper.py @@ -1,36 +1,28 @@ +from cereeberus import ReebGraph from ..distance.labeled_blocks import LabeledBlockMatrix as LBM from ..distance.labeled_blocks import LabeledMatrix as LM from ..compute.unionfind import UnionFind import numpy as np -<<<<<<< HEAD - -#This is probably bad -from asteval import Interpreter -aeval = Interpreter() -======= -from .reebgraph import ReebGraph ->>>>>>> master - - class MapperGraph(ReebGraph): - r""" + """ A mapper graph structure. This inherits the properties of the Reeb graph in that it is a graph with a function given on the vertices, but with some additional requirements. - - The values are integers in some range, [n_low, n_low+1, \cdots, n_high], although we consider the funciton values to be [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] for a stored delta + - The values are integers in some range, [n_low, n_low+1, \cdots, n_high], although we consider the funciton values to be [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] for a stored delta - If an edge crosses a value, it has a vertex (so that the inverse image of any integer is only vertices, not interiors of edges) - - An internal delta is stored so that this can be interpreted as function values [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] + - An internal delta is stored so that this can be interpreted as function values [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] """ - def __init__(self, G=None, f={}, delta=None, seed=None, verbose=False): + def __init__(self, + G=None, f={}, delta = None, seed = None, verbose=False): # Check that $f$ values are only integers if not all([isinstance(f[v], int) for v in f]): raise ValueError("Function values must be integers.") if delta is None: self.delta = 1 - else: - self.delta = delta + else: + self.delta = delta super().__init__(G, f, seed, verbose) @@ -43,12 +35,14 @@ def add_edge(self, u, v, reset_pos=True): super().add_edge(u, v, reset_pos) self.mapperify() + + def mapperify(self): """ - Take the internal structure and make sure it satisfies the requirement that all edges have adjacent function values. + Take the internal structure and make sure it satisfies the requirement that all edges have adjacent function values. """ - # If we're initializing with nothing, this should pass. + # If we're initializing with nothing, this should pass. # Note that if self.n_low is None, then self.n_high and self.delta # are both None as well but I am not currently checking that. try: @@ -57,15 +51,19 @@ def mapperify(self): except: return - - for i in range(n_low, n_high + 1): + + + for i in range(n_low,n_high+1): e_list = [e for e in self.edges() if self.f[e[0]] < i and self.f[e[1]] > i] for e in e_list: w_name = self.get_next_vert_name() - self.subdivide_edge(*e, w_name, i) + self.subdivide_edge(*e,w_name, i) + + def add_node(self, vertex, f_vertex, reset_pos=True): + """ Same as adding a node in Reeb, but with the additional requirement that the function value is an integer. """ @@ -73,15 +71,18 @@ def add_node(self, vertex, f_vertex, reset_pos=True): if not isinstance(f_vertex, int): raise ValueError("Function values must be integers.") return super().add_node(vertex, f_vertex, reset_pos) + + def set_pos_from_f(self, seed=None, verbose=False): + """ Same as the Reeb graph function, but we want to draw the vertex locations at delta*function value. """ super().set_pos_from_f(seed, verbose) for v in self.nodes(): - self.pos_f[v] = (self.pos_f[v][0], self.delta * self.f[v]) + self.pos_f[v] = (self.pos_f[v][0],self.delta * self.f[v]) def induced_subgraph(self, nodes): """ @@ -89,35 +90,36 @@ def induced_subgraph(self, nodes): Parameters: nodes (list): The list of nodes to include in the subgraph. - + Returns: MapperGraph """ R = super().induced_subgraph(nodes) return R.to_mapper(self.delta) - def smoothing_and_maps(self, n=1): + + def smoothing_and_maps(self, n = 1): """ Compute the smoothing of a mapper graph as given in todo: Cite the paper. Note that the input :math:`n` parameter is related to the integer function values, not the delta-scaled function values. Parameters: n (int): The amount of smoothing - + Returns: - tuple: MapperGraph, vertex_map, edge_map + tuple: MapperGraph, vertex_map, edge_map """ if type(n) != int: raise ValueError("Smoothing amount must be an integer.") - + M_n, V_map, E_map = super().smoothing_and_maps(n) - + # E_map is a dictonary with output lists of edges, but we should only have one edge to one edge in the mapper graph case # This just strips E_map[key] = [(u,v,0)] to instead be E_map[key] = (u,v,0) - E_map = {key: E_map[key][0] for key in E_map} - + E_map = {key : E_map[key][0] for key in E_map} + M_n = M_n.to_mapper(self.delta) - - return M_n, V_map, E_map + + return M_n, V_map, E_map def smoothing(self, n=1): """ @@ -135,10 +137,10 @@ def smoothing(self, n=1): M_n, _, _ = self.smoothing_and_maps(n) return M_n - # ------------------------------# + #------------------------------# # Functions for computing thickening distance matrix - # ------------------------------# - def thickening_distance_by_level(self, level, obj_type="V"): + #------------------------------# + def thickening_distance_by_level(self, level, obj_type = 'V'): """ Get the thickening distance matrix at a given level. This distance is the amount of thickening needed before the given pair of vertices at that level map to the same connected component. @@ -149,60 +151,63 @@ def thickening_distance_by_level(self, level, obj_type="V"): Returns: LabeledMatrix - + """ # Dict to get list of vertices at a level LevelVerts = self.func_to_vertex_dict() - # Dict to get lists of edges at a level + # Dict to get lists of edges at a level LevelEdges = self.func_to_edge_dict() - # Current level to be checking - L = level + # Current level to be checking + L = level # Objects to be checking - if obj_type == "V": + if obj_type == 'V': # Vertices at the current level rowLabels = LevelVerts[L] - elif obj_type == "E": + elif obj_type == 'E': # Edges at the current level rowLabels = LevelEdges[L] else: raise ValueError("Type must be 'V' or 'E'.") - # If there's only one object, the distance is 0. + + # If there's only one object, the distance is 0. # Return the little matrix block if len(rowLabels) == 1: - D = LM(rows=rowLabels, cols=rowLabels) + D = LM(rows = rowLabels, cols = rowLabels) return D - # Max difference to check - max_diff = max(L - self.min_f(), self.max_f() - L) + # Max difference to check + max_diff = max(L-self.min_f(), self.max_f()-L) # Distance matrix for this level - D = np.zeros(shape=(len(rowLabels), len(rowLabels))) - 1 + D = np.zeros(shape = (len(rowLabels), len(rowLabels))) - 1 D += np.identity(len(rowLabels)) - D = LM(D, rows=rowLabels, cols=rowLabels) + D = LM(D, rows = rowLabels, cols = rowLabels) # Initialize a union find object UF = UnionFind(list(self.nodes())) - # Loop through the levels to add edges, and update teh distance matrix if - # a pair of objects not already merged. - for k in range(1, max_diff + 1): - if obj_type == "V": - up_level = L + k - 1 - down_level = L - k - elif obj_type == "E": - up_level = L + k - 1 - down_level = L - k + 1 + + # Loop through the levels to add edges, and update teh distance matrix if + # a pair of objects not already merged. + for k in range(1, max_diff+1): + + if obj_type == 'V': + up_level = L+k-1 + down_level = L-k + elif obj_type == 'E': + up_level = L+k-1 + down_level = L-k+1 U = [] # Add edges at each up and down level # try/except is to ignore entries without edges try: - # up verts + # up verts U.extend(LevelEdges[up_level]) except: pass @@ -217,197 +222,54 @@ def thickening_distance_by_level(self, level, obj_type="V"): for e in U: UF.union(e[0], e[1]) - if obj_type == "V": + if obj_type == 'V': for v in rowLabels: for u in rowLabels: - if ( - v != u - and D.array[rowLabels.index(v)][rowLabels.index(u)] == -1 - ): + if v != u and D.array[rowLabels.index(v)][rowLabels.index(u)] == -1: if UF.find(v) == UF.find(u): # print(f"found {v} and {u}") D.array[rowLabels.index(v)][rowLabels.index(u)] = k D.array[rowLabels.index(u)][rowLabels.index(v)] = k - elif obj_type == "E": + elif obj_type == 'E': for i, e in enumerate(rowLabels): for j, f in enumerate(rowLabels): if e != f and D.array[i][j] == -1: - if UF.find(e[0]) == UF.find( - f[0] - ): # and UF.find(e[1]) == UF.find(f[1]): + if UF.find(e[0]) == UF.find(f[0]): # and UF.find(e[1]) == UF.find(f[1]): # print(f"found {e} and {f}") D.array[i][j] = k D.array[j][i] = k - - # Check if there are still any entries of -1 - # If there are none, no need to keep adding edges + + + # Check if there are still any entries of -1 + # If there are none, no need to keep adding edges if not np.any(D.array == -1): break - + # If there are still -1's, set them to np.inf if np.any(D.array == -1): D.array[D.array == -1] = np.inf return D - - def thickening_distance_matrix(self, obj_type="V"): + + def thickening_distance_matrix(self, obj_type = 'V'): """ Get the thickening distance matrix for the entire mapper graph. This is a labeled block matrix with rows and columns indexed by vertices, and entries given by the thickening distance between the two vertices. Returns: LabeledBlockMatrix """ - if obj_type == "V": + if obj_type == 'V': V_dict = self.func_to_vertex_dict() - DistMat = LBM(rows_dict=V_dict, cols_dict=V_dict) - elif obj_type == "E": + DistMat = LBM(rows_dict= V_dict, cols_dict = V_dict) + elif obj_type == 'E': E_dict = self.func_to_edge_dict() - DistMat = LBM(rows_dict=E_dict, cols_dict=E_dict) + DistMat = LBM(rows_dict= E_dict, cols_dict = E_dict) for i in DistMat.get_all_block_indices(): - D = self.thickening_distance_by_level(i, obj_type=obj_type) + D = self.thickening_distance_by_level(i, obj_type = obj_type) DistMat[i] = D return DistMat -<<<<<<< HEAD - - - - #Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point - def __runlensfunction(lensfunction, pointcloud): - lensfunctionoutput = [] - for val in range(len(pointcloud)): - aeval.symtable['x'] = pointcloud[val][0] - aeval.symtable['y'] = pointcloud[val][1] - lensfunctionoutput.append((aeval(lensfunction), pointcloud[val][0], pointcloud[val][1])) - return lensfunctionoutput - - - #Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] - #Also removes any covers that have no points inside of them - #this would probably be better done as a struct, containing a covering set, the covering set's position in the cover, and an array of points - def __createcoveringsets(points, cover): - #adds location information to cover - for val0 in range(len(cover)): - cover[val0] = (cover[val0][0], cover[val0][1], val0) - #creates the list - coveringsets = [] - for val1 in range(len(cover)): - coveringsets.append([cover[val1]]) - for val2 in range(len(points)): - if points[val2][0] >= cover[val1][0] and points[val2][0] <= cover[val1][1]: - coveringsets[val1].append(points[val2]) - #removes unused covers - position = 0 - while position < len(coveringsets): - if len(coveringsets[position]) == 1: - coveringsets.pop(position) - else: - position += 1 - return coveringsets - - - #cluster the points using a number of existing clustering algorithms - def __cluster(coveringsets, clusteralgorithm): - #trivial clustering - if clusteralgorithm == "trivial": - for val in range(len(coveringsets)): - location = coveringsets[val].pop(0) - coveringsets[val].insert(0, location[2]) - return coveringsets - #execute sklearn clusterings - elif callable(clusteralgorithm): - finished_cluster = list() - coverpointcloud = list() - cluster = list() - for val1 in range(len(coveringsets)): - #alters data to fit with sklearn clustering algorithms - for val2 in range(1, len(coveringsets[val1])): - coverpointcloud.append((coveringsets[val1][val2][1],coveringsets[val1][val2][2])) - #does clustering algorithm - cluster_out = clusteralgorithm(coverpointcloud) - #puts points into list - for val2 in range(max(cluster_out.labels_)+1): - cluster.append([coveringsets[val1][0][2]]) #The position of the covering set in the cover (preserved for distance purposes) - for val3 in range(len(cluster_out.labels_)): - if cluster_out.labels_[val3] == val2: - cluster[val2].append(coverpointcloud[val3]) - finished_cluster.append(cluster[val2]) - coverpointcloud.clear() - cluster.clear() - return finished_cluster - else: - print("input not valid") - return list() - - - #Adds edges between the cluster that share points - def __addedges(clusterpoints): - outputgraph = MapperGraph() - val2 = 0 - for val1 in range(len(clusterpoints)): - outputgraph.add_node(val1, clusterpoints[val1][0]) - while val2 < val1: - if clusterpoints[val1][0] != clusterpoints[val2][0]: - if len(set(clusterpoints[val1]) & set(clusterpoints[val2])) > 0: - outputgraph.add_edge(val1, val2) - val2 += 1 - val2 = 0 - return outputgraph - - - #Does the Mapper Algorithm in order - def runmapper(pointcloud, lensfunction, cover, clusteralgorithm): - """ - Computes the Mapper Alogirthm - - Parameters: - A pointcloud (as a list) - A lens function (as a string) - A cover (as a list of intervals) - A clustering algorithm (as a callable) - - Returns: - A MapperGraph object as given by the Mapper Algorithm run on the parameters - """ - lensfunctionoutput = MapperGraph.__runlensfunction(lensfunction, pointcloud) - coveringsets = MapperGraph.__createcoveringsets(lensfunctionoutput, cover) - clusterpoints = MapperGraph.__cluster(coveringsets, clusteralgorithm) - outputgraph = MapperGraph.__addedges(clusterpoints) - return outputgraph - - - #function to create covers - #cover(min, max, #covers, %overlap) - def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): - """ - Creates a cover to be used for inputs in the runmapper function - - Parameters: - min: the minimum for the range of the covering sets - max: the maximum for the range of the covering sets - numcovers: number of covers to create - percentoverlap: percentage (from 0 to 1) of overlap between covers - - Returns: - An array of intervals - """ - output = [] - val = 0 - coversize = (max - min)/numcovers * (1+(percentoverlap)) - while val < numcovers: - center = (min*(numcovers-(val+0.5)) + max*(val+0.5))/numcovers - output.append(((-0.5*coversize) + center, (0.5*coversize) + center)) - val += 1 - return output - - - - - - -======= ->>>>>>> master diff --git a/cereeberus/compute_mapper.ipynb b/cereeberus/compute_mapper.ipynb new file mode 100644 index 0000000..21550bb --- /dev/null +++ b/cereeberus/compute_mapper.ipynb @@ -0,0 +1,494 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Mapper Graph using runmapper\n", + "\n", + "We may construct a mapper graph from a point cloud" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "number_of_points = 500\n", + "\n", + "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)\n", + "\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append(data[val])\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We may compute the Mapper graph of this shape using runmapper" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (mapper.py, line 6)", + "output_type": "error", + "traceback": [ + "Traceback \u001b[1;36m(most recent call last)\u001b[0m:\n", + "\u001b[0m File \u001b[0;32mc:\\Users\\alexx\\AppData\\Local\\Programs\\Python\\Python313\\Lib\\site-packages\\IPython\\core\\interactiveshell.py:3577\u001b[0m in \u001b[0;35mrun_code\u001b[0m\n exec(code_obj, self.user_global_ns, self.user_ns)\u001b[0m\n", + "\u001b[0m Cell \u001b[0;32mIn[3], line 1\u001b[0m\n from cereeberus import MapperGraph\u001b[0m\n", + "\u001b[0m File \u001b[0;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\__init__.py:16\u001b[0m\n from .reeb.reebgraph import ReebGraph\u001b[0m\n", + "\u001b[1;36m File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\__init__.py:5\u001b[1;36m\n\u001b[1;33m from .mapper import *\u001b[1;36m\n", + "\u001b[1;36m File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\mapper.py:6\u001b[1;36m\u001b[0m\n\u001b[1;33m <<<<<<< HEAD\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" + ] + } + ], + "source": [ + "from cereeberus import MapperGraph\n", + "from cereeberus import computeMapper\n", + "\n", + "\n", + "import sklearn\n", + "\n", + "graph = MapperGraph()\n", + "graph = runmapper(pointcloud, [0], MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The runmapper function takes 4 inputs:\n", + "- A point cloud\n", + "- A lens function\n", + "- A cover\n", + "- A clustering algorithm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covers may be created using the Mappergraph.cover method" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)]\n" + ] + } + ], + "source": [ + "print(MapperGraph.cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covering sets may go beyond the specified range if they have a nonzero percentage overlap with other covering sets." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both covers and point clouds may be input manually" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", + "graph2.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "runmapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_moons\n", + "\n", + "number_of_points = 200\n", + "\n", + "data, labels = make_moons(n_samples=number_of_points, noise=0.05, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append(data[val])\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "runmapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice where the labels for the graph start" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "runmapper accepts any function recognizable by numpy as input" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_swiss_roll\n", + "number_of_points = 300\n", + "\n", + "data, labels = make_swiss_roll(n_samples=number_of_points, noise=0.1, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append((data[val][0],data[val][2]))\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 2], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"x*y\", MapperGraph.cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"sqrt(x+15)\", MapperGraph.cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = MapperGraph.runmapper(pointcloud, \"sqrt((x*x)+(y*y))\", MapperGraph.cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.13.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/cereeberus/mapper_basics.ipynb b/cereeberus/mapper_basics.ipynb index 42ea2ff..b289f66 100644 --- a/cereeberus/mapper_basics.ipynb +++ b/cereeberus/mapper_basics.ipynb @@ -285,469 +285,6 @@ "# Plots the boundary matrix.\n", "M_n.plot_boundary_matrix()" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Creating a Mapper Graph using runmapper\n", - "\n", - "We may construct a mapper graph from a point cloud" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_circles\n", - "\n", - "number_of_points = 500\n", - "\n", - "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)\n", - "\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append(data[val])\n", - " val += 1" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We may compute the Mapper graph of this shape using runmapper" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from cereeberus import MapperGraph\n", - "import sklearn\n", - "\n", - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The runmapper function takes 4 inputs:\n", - "- A point cloud\n", - "- A lens function\n", - "- A cover\n", - "- A clustering algorithm" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Covers may be created using the Mappergraph.cover method" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)]\n" - ] - } - ], - "source": [ - "print(MapperGraph.cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Covering sets may go beyond the specified range if they have a nonzero percentage overlap with other covering sets." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Both covers and point clouds may be input manually" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", - "graph2.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "runmapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_moons\n", - "\n", - "number_of_points = 200\n", - "\n", - "data, labels = make_moons(n_samples=number_of_points, noise=0.05, random_state=0)\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append(data[val])\n", - " val += 1" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "runmapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice where the labels for the graph start" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "runmapper accepts any function recognizable by numpy as input" - ] - }, - { - "cell_type": "code", - "execution_count": 111, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_swiss_roll\n", - "number_of_points = 300\n", - "\n", - "data, labels = make_swiss_roll(n_samples=number_of_points, noise=0.1, random_state=0)\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append((data[val][0],data[val][2]))\n", - " val += 1" - ] - }, - { - "cell_type": "code", - "execution_count": 112, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 2], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "code", - "execution_count": 130, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 160, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"x*y\", MapperGraph.cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 162, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"sqrt(x+15)\", MapperGraph.cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 174, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"sqrt((x*x)+(y*y))\", MapperGraph.cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] } ], "metadata": { From 15ba853bed566c2a6a4e52ef0a0741d3bb8e2e97 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 17 Nov 2025 12:31:43 -0700 Subject: [PATCH 05/16] fixed mapper.py issue --- cereeberus/cereeberus/reeb/mapper.py | 151 +++++++++++++-------------- 1 file changed, 70 insertions(+), 81 deletions(-) diff --git a/cereeberus/cereeberus/reeb/mapper.py b/cereeberus/cereeberus/reeb/mapper.py index c2acbd1..721000a 100644 --- a/cereeberus/cereeberus/reeb/mapper.py +++ b/cereeberus/cereeberus/reeb/mapper.py @@ -1,28 +1,29 @@ -from cereeberus import ReebGraph from ..distance.labeled_blocks import LabeledBlockMatrix as LBM from ..distance.labeled_blocks import LabeledMatrix as LM from ..compute.unionfind import UnionFind import numpy as np +from .reebgraph import ReebGraph + + class MapperGraph(ReebGraph): - """ + r""" A mapper graph structure. This inherits the properties of the Reeb graph in that it is a graph with a function given on the vertices, but with some additional requirements. - - The values are integers in some range, [n_low, n_low+1, \cdots, n_high], although we consider the funciton values to be [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] for a stored delta + - The values are integers in some range, [n_low, n_low+1, \cdots, n_high], although we consider the funciton values to be [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] for a stored delta - If an edge crosses a value, it has a vertex (so that the inverse image of any integer is only vertices, not interiors of edges) - - An internal delta is stored so that this can be interpreted as function values [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] + - An internal delta is stored so that this can be interpreted as function values [\delta * n_low, \delta* (n_low+1), \cdots, \delta * n_high] """ - def __init__(self, - G=None, f={}, delta = None, seed = None, verbose=False): + def __init__(self, G=None, f={}, delta=None, seed=None, verbose=False): # Check that $f$ values are only integers if not all([isinstance(f[v], int) for v in f]): raise ValueError("Function values must be integers.") if delta is None: self.delta = 1 - else: - self.delta = delta + else: + self.delta = delta super().__init__(G, f, seed, verbose) @@ -35,14 +36,12 @@ def add_edge(self, u, v, reset_pos=True): super().add_edge(u, v, reset_pos) self.mapperify() - - def mapperify(self): """ - Take the internal structure and make sure it satisfies the requirement that all edges have adjacent function values. + Take the internal structure and make sure it satisfies the requirement that all edges have adjacent function values. """ - # If we're initializing with nothing, this should pass. + # If we're initializing with nothing, this should pass. # Note that if self.n_low is None, then self.n_high and self.delta # are both None as well but I am not currently checking that. try: @@ -51,19 +50,15 @@ def mapperify(self): except: return - - - for i in range(n_low,n_high+1): + + for i in range(n_low, n_high + 1): e_list = [e for e in self.edges() if self.f[e[0]] < i and self.f[e[1]] > i] for e in e_list: w_name = self.get_next_vert_name() - self.subdivide_edge(*e,w_name, i) + self.subdivide_edge(*e, w_name, i) - - def add_node(self, vertex, f_vertex, reset_pos=True): - """ Same as adding a node in Reeb, but with the additional requirement that the function value is an integer. """ @@ -71,18 +66,15 @@ def add_node(self, vertex, f_vertex, reset_pos=True): if not isinstance(f_vertex, int): raise ValueError("Function values must be integers.") return super().add_node(vertex, f_vertex, reset_pos) - - def set_pos_from_f(self, seed=None, verbose=False): - """ Same as the Reeb graph function, but we want to draw the vertex locations at delta*function value. """ super().set_pos_from_f(seed, verbose) for v in self.nodes(): - self.pos_f[v] = (self.pos_f[v][0],self.delta * self.f[v]) + self.pos_f[v] = (self.pos_f[v][0], self.delta * self.f[v]) def induced_subgraph(self, nodes): """ @@ -90,36 +82,35 @@ def induced_subgraph(self, nodes): Parameters: nodes (list): The list of nodes to include in the subgraph. - + Returns: MapperGraph """ R = super().induced_subgraph(nodes) return R.to_mapper(self.delta) - - def smoothing_and_maps(self, n = 1): + def smoothing_and_maps(self, n=1): """ Compute the smoothing of a mapper graph as given in todo: Cite the paper. Note that the input :math:`n` parameter is related to the integer function values, not the delta-scaled function values. Parameters: n (int): The amount of smoothing - + Returns: - tuple: MapperGraph, vertex_map, edge_map + tuple: MapperGraph, vertex_map, edge_map """ if type(n) != int: raise ValueError("Smoothing amount must be an integer.") - + M_n, V_map, E_map = super().smoothing_and_maps(n) - + # E_map is a dictonary with output lists of edges, but we should only have one edge to one edge in the mapper graph case # This just strips E_map[key] = [(u,v,0)] to instead be E_map[key] = (u,v,0) - E_map = {key : E_map[key][0] for key in E_map} - + E_map = {key: E_map[key][0] for key in E_map} + M_n = M_n.to_mapper(self.delta) - - return M_n, V_map, E_map + + return M_n, V_map, E_map def smoothing(self, n=1): """ @@ -137,10 +128,10 @@ def smoothing(self, n=1): M_n, _, _ = self.smoothing_and_maps(n) return M_n - #------------------------------# + # ------------------------------# # Functions for computing thickening distance matrix - #------------------------------# - def thickening_distance_by_level(self, level, obj_type = 'V'): + # ------------------------------# + def thickening_distance_by_level(self, level, obj_type="V"): """ Get the thickening distance matrix at a given level. This distance is the amount of thickening needed before the given pair of vertices at that level map to the same connected component. @@ -151,63 +142,60 @@ def thickening_distance_by_level(self, level, obj_type = 'V'): Returns: LabeledMatrix - + """ # Dict to get list of vertices at a level LevelVerts = self.func_to_vertex_dict() - # Dict to get lists of edges at a level + # Dict to get lists of edges at a level LevelEdges = self.func_to_edge_dict() - # Current level to be checking - L = level + # Current level to be checking + L = level # Objects to be checking - if obj_type == 'V': + if obj_type == "V": # Vertices at the current level rowLabels = LevelVerts[L] - elif obj_type == 'E': + elif obj_type == "E": # Edges at the current level rowLabels = LevelEdges[L] else: raise ValueError("Type must be 'V' or 'E'.") - - # If there's only one object, the distance is 0. + # If there's only one object, the distance is 0. # Return the little matrix block if len(rowLabels) == 1: - D = LM(rows = rowLabels, cols = rowLabels) + D = LM(rows=rowLabels, cols=rowLabels) return D - # Max difference to check - max_diff = max(L-self.min_f(), self.max_f()-L) + # Max difference to check + max_diff = max(L - self.min_f(), self.max_f() - L) # Distance matrix for this level - D = np.zeros(shape = (len(rowLabels), len(rowLabels))) - 1 + D = np.zeros(shape=(len(rowLabels), len(rowLabels))) - 1 D += np.identity(len(rowLabels)) - D = LM(D, rows = rowLabels, cols = rowLabels) + D = LM(D, rows=rowLabels, cols=rowLabels) # Initialize a union find object UF = UnionFind(list(self.nodes())) - - - # Loop through the levels to add edges, and update teh distance matrix if + # Loop through the levels to add edges, and update teh distance matrix if # a pair of objects not already merged. - for k in range(1, max_diff+1): - - if obj_type == 'V': - up_level = L+k-1 - down_level = L-k - elif obj_type == 'E': - up_level = L+k-1 - down_level = L-k+1 + for k in range(1, max_diff + 1): + + if obj_type == "V": + up_level = L + k - 1 + down_level = L - k + elif obj_type == "E": + up_level = L + k - 1 + down_level = L - k + 1 U = [] # Add edges at each up and down level # try/except is to ignore entries without edges try: - # up verts + # up verts U.extend(LevelEdges[up_level]) except: pass @@ -222,54 +210,55 @@ def thickening_distance_by_level(self, level, obj_type = 'V'): for e in U: UF.union(e[0], e[1]) - if obj_type == 'V': + if obj_type == "V": for v in rowLabels: for u in rowLabels: - if v != u and D.array[rowLabels.index(v)][rowLabels.index(u)] == -1: + if ( + v != u + and D.array[rowLabels.index(v)][rowLabels.index(u)] == -1 + ): if UF.find(v) == UF.find(u): # print(f"found {v} and {u}") D.array[rowLabels.index(v)][rowLabels.index(u)] = k D.array[rowLabels.index(u)][rowLabels.index(v)] = k - elif obj_type == 'E': + elif obj_type == "E": for i, e in enumerate(rowLabels): for j, f in enumerate(rowLabels): if e != f and D.array[i][j] == -1: - if UF.find(e[0]) == UF.find(f[0]): # and UF.find(e[1]) == UF.find(f[1]): + if UF.find(e[0]) == UF.find( + f[0] + ): # and UF.find(e[1]) == UF.find(f[1]): # print(f"found {e} and {f}") D.array[i][j] = k D.array[j][i] = k - - - # Check if there are still any entries of -1 - # If there are none, no need to keep adding edges + + # Check if there are still any entries of -1 + # If there are none, no need to keep adding edges if not np.any(D.array == -1): break - + # If there are still -1's, set them to np.inf if np.any(D.array == -1): D.array[D.array == -1] = np.inf return D - - def thickening_distance_matrix(self, obj_type = 'V'): + + def thickening_distance_matrix(self, obj_type="V"): """ Get the thickening distance matrix for the entire mapper graph. This is a labeled block matrix with rows and columns indexed by vertices, and entries given by the thickening distance between the two vertices. Returns: LabeledBlockMatrix """ - if obj_type == 'V': + if obj_type == "V": V_dict = self.func_to_vertex_dict() - DistMat = LBM(rows_dict= V_dict, cols_dict = V_dict) - elif obj_type == 'E': + DistMat = LBM(rows_dict=V_dict, cols_dict=V_dict) + elif obj_type == "E": E_dict = self.func_to_edge_dict() - DistMat = LBM(rows_dict= E_dict, cols_dict = E_dict) + DistMat = LBM(rows_dict=E_dict, cols_dict=E_dict) for i in DistMat.get_all_block_indices(): - D = self.thickening_distance_by_level(i, obj_type = obj_type) + D = self.thickening_distance_by_level(i, obj_type=obj_type) DistMat[i] = D return DistMat - - - From c431311f59fa3a2da5fb565e987382462eee608d Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 17 Nov 2025 12:41:49 -0700 Subject: [PATCH 06/16] fixed inclusion --- cereeberus/cereeberus/compute/__init__.py | 3 ++- cereeberus/cereeberus/compute/computemapper.py | 4 ++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/cereeberus/cereeberus/compute/__init__.py b/cereeberus/cereeberus/compute/__init__.py index d0f25d8..a34882d 100644 --- a/cereeberus/cereeberus/compute/__init__.py +++ b/cereeberus/cereeberus/compute/__init__.py @@ -1,4 +1,5 @@ -__all__ = ["draw", "unionfind", "computeReeb"] +__all__ = ["draw", "unionfind", "computeReeb", "computeMapper"] from .draw import * from .unionfind import * from .computereeb import * +from .computemapper import * diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 39c63fd..0e1beb4 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -85,7 +85,7 @@ def __addedges(clusterpoints): #Does the Mapper Algorithm in order -def runmapper(self, pointcloud, lensfunction, cover, clusteralgorithm): +def computeMapper(self, pointcloud, lensfunction, cover, clusteralgorithm): """ Computes the Mapper Alogirthm @@ -109,7 +109,7 @@ def runmapper(self, pointcloud, lensfunction, cover, clusteralgorithm): #cover(min, max, #covers, %overlap) def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): """ - Creates a cover to be used for inputs in the runmapper function + Creates a cover to be used for inputs in the computeMapper function Parameters: min: the minimum for the range of the covering sets From 42c0ea66ac884a551f526df230ff7a2d9e43dfdf Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Sat, 22 Nov 2025 22:09:13 -0700 Subject: [PATCH 07/16] Working code after moving files, still needs some rewriting and some documentation --- cereeberus/cereeberus/__init__.py | 3 +++ cereeberus/cereeberus/compute/__init__.py | 4 +--- .../cereeberus/compute/computemapper.py | 21 ++++++++++--------- cereeberus/cereeberus/draw/__init__.py | 2 ++ .../cereeberus/{compute => draw}/draw.py | 0 cereeberus/cereeberus/reeb/reebgraph.py | 2 +- .../notebooks}/mapper_basics.ipynb | 0 7 files changed, 18 insertions(+), 14 deletions(-) create mode 100644 cereeberus/cereeberus/draw/__init__.py rename cereeberus/cereeberus/{compute => draw}/draw.py (100%) rename {cereeberus => doc_source/notebooks}/mapper_basics.ipynb (100%) diff --git a/cereeberus/cereeberus/__init__.py b/cereeberus/cereeberus/__init__.py index e49076b..a21c3bb 100644 --- a/cereeberus/cereeberus/__init__.py +++ b/cereeberus/cereeberus/__init__.py @@ -2,6 +2,7 @@ "ReebGraph", "LowerStar", "computeReeb", + "computeMapper", "MergeTree", "MapperGraph", "EmbeddedGraph", @@ -20,6 +21,8 @@ from .distance.interleave import Interleave, Assignment from .reeb.lowerstar import LowerStar from .compute.computereeb import computeReeb +from .compute.computemapper import computeMapper +from .compute.computemapper import cover # Examples from .data import ( diff --git a/cereeberus/cereeberus/compute/__init__.py b/cereeberus/cereeberus/compute/__init__.py index a34882d..9e3ab9f 100644 --- a/cereeberus/cereeberus/compute/__init__.py +++ b/cereeberus/cereeberus/compute/__init__.py @@ -1,5 +1,3 @@ -__all__ = ["draw", "unionfind", "computeReeb", "computeMapper"] -from .draw import * +__all__ = ["unionfind", "computeReeb"] from .unionfind import * from .computereeb import * -from .computemapper import * diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 0e1beb4..2a5d3e7 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -5,9 +5,10 @@ def __runlensfunction(lensfunction, pointcloud): if callable(lensfunction): lensfunctionoutput = [] for val in range(len(pointcloud)): - lensfunctionoutput.append(lensfunction(pointcloud[val])) + lensfunctionoutput.append([lensfunction(pointcloud[val]), pointcloud[val]]) else: print("Invalid lens function") + print(lensfunctionoutput) return lensfunctionoutput @@ -51,7 +52,7 @@ def __cluster(coveringsets, clusteralgorithm): for val1 in range(len(coveringsets)): #alters data to fit with sklearn clustering algorithms for val2 in range(1, len(coveringsets[val1])): - coverpointcloud.append((coveringsets[val1][val2][1],coveringsets[val1][val2][2])) + coverpointcloud.append((coveringsets[val1][val2][1][0],coveringsets[val1][val2][1][1])) #does clustering algorithm cluster_out = clusteralgorithm(coverpointcloud) #puts points into list @@ -77,6 +78,8 @@ def __addedges(clusterpoints): outputgraph.add_node(val1, clusterpoints[val1][0]) while val2 < val1: if clusterpoints[val1][0] != clusterpoints[val2][0]: + print(clusterpoints[val1]) + print(set(clusterpoints[val1])) if len(set(clusterpoints[val1]) & set(clusterpoints[val2])) > 0: outputgraph.add_edge(val1, val2) val2 += 1 @@ -85,23 +88,23 @@ def __addedges(clusterpoints): #Does the Mapper Algorithm in order -def computeMapper(self, pointcloud, lensfunction, cover, clusteralgorithm): +def computeMapper(pointcloud, lensfunction, cover, clusteralgorithm): """ Computes the Mapper Alogirthm Parameters: A pointcloud (as a list) - A lens function (as a string) + A lens function (as a callable) A cover (as a list of intervals) A clustering algorithm (as a callable) Returns: A MapperGraph object as given by the Mapper Algorithm run on the parameters """ - lensfunctionoutput = self.__runlensfunction(lensfunction, pointcloud) #move to compute folder, change name to computemapper - coveringsets = self.__createcoveringsets(lensfunctionoutput, cover) - clusterpoints = self.__cluster(coveringsets, clusteralgorithm) - outputgraph = self.__addedges(clusterpoints) + lensfunctionoutput = __runlensfunction(lensfunction, pointcloud) #move to compute folder, change name to computemapper + coveringsets = __createcoveringsets(lensfunctionoutput, cover) + clusterpoints = __cluster(coveringsets, clusteralgorithm) + outputgraph = __addedges(clusterpoints) return outputgraph @@ -128,8 +131,6 @@ def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): output.append(((-0.5*coversize) + center, (0.5*coversize) + center)) val += 1 return output - - diff --git a/cereeberus/cereeberus/draw/__init__.py b/cereeberus/cereeberus/draw/__init__.py new file mode 100644 index 0000000..308ed4a --- /dev/null +++ b/cereeberus/cereeberus/draw/__init__.py @@ -0,0 +1,2 @@ +__all__ = ["draw"] +from .draw import * diff --git a/cereeberus/cereeberus/compute/draw.py b/cereeberus/cereeberus/draw/draw.py similarity index 100% rename from cereeberus/cereeberus/compute/draw.py rename to cereeberus/cereeberus/draw/draw.py diff --git a/cereeberus/cereeberus/reeb/reebgraph.py b/cereeberus/cereeberus/reeb/reebgraph.py index 94e0589..098deed 100644 --- a/cereeberus/cereeberus/reeb/reebgraph.py +++ b/cereeberus/cereeberus/reeb/reebgraph.py @@ -1,5 +1,5 @@ import networkx as nx -from ..compute import draw +from ..draw import draw import matplotlib.pyplot as plt import numpy as np diff --git a/cereeberus/mapper_basics.ipynb b/doc_source/notebooks/mapper_basics.ipynb similarity index 100% rename from cereeberus/mapper_basics.ipynb rename to doc_source/notebooks/mapper_basics.ipynb From 976dfb08800a93c8f66367cb0ae304bada1f131b Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Sat, 22 Nov 2025 23:02:14 -0700 Subject: [PATCH 08/16] fixed trivial clustering --- .../cereeberus/compute/computemapper.py | 26 +- cereeberus/compute_mapper.ipynb | 611 ++++++++++++++++-- 2 files changed, 579 insertions(+), 58 deletions(-) diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 2a5d3e7..10db8ce 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -5,9 +5,10 @@ def __runlensfunction(lensfunction, pointcloud): if callable(lensfunction): lensfunctionoutput = [] for val in range(len(pointcloud)): - lensfunctionoutput.append([lensfunction(pointcloud[val]), pointcloud[val]]) + lensfunctionoutput.append([lensfunction(pointcloud[val]), tuple(pointcloud[val])]) else: print("Invalid lens function") + print("Lens Function Output: ") print(lensfunctionoutput) return lensfunctionoutput @@ -33,6 +34,8 @@ def __createcoveringsets(points, cover): coveringsets.pop(position) else: position += 1 + print("Covering Sets Output: ") + print(coveringsets) return coveringsets @@ -40,10 +43,17 @@ def __createcoveringsets(points, cover): def __cluster(coveringsets, clusteralgorithm): #trivial clustering if clusteralgorithm == "trivial": - for val in range(len(coveringsets)): - location = coveringsets[val].pop(0) - coveringsets[val].insert(0, location[2]) - return coveringsets + finished_cluster = list() + cluster = list() + for val1 in range(len(coveringsets)): + cluster.append(coveringsets[val1][0][2]) + for val2 in range(1, len(coveringsets[val1])): + cluster.append(coveringsets[val1][val2][1]) + finished_cluster.append([cluster[0], cluster[1]]) + cluster.clear() + print("Clustering Output: ") + print(finished_cluster) + return finished_cluster #execute sklearn clusterings elif callable(clusteralgorithm): finished_cluster = list() @@ -64,6 +74,8 @@ def __cluster(coveringsets, clusteralgorithm): finished_cluster.append(cluster[val2]) coverpointcloud.clear() cluster.clear() + print("Clustering Output: ") + print(finished_cluster) return finished_cluster else: print("input not valid") @@ -78,12 +90,12 @@ def __addedges(clusterpoints): outputgraph.add_node(val1, clusterpoints[val1][0]) while val2 < val1: if clusterpoints[val1][0] != clusterpoints[val2][0]: - print(clusterpoints[val1]) - print(set(clusterpoints[val1])) if len(set(clusterpoints[val1]) & set(clusterpoints[val2])) > 0: outputgraph.add_edge(val1, val2) val2 += 1 val2 = 0 + print("Final Output: ") + print(outputgraph) return outputgraph diff --git a/cereeberus/compute_mapper.ipynb b/cereeberus/compute_mapper.ipynb index 21550bb..aaa5ad8 100644 --- a/cereeberus/compute_mapper.ipynb +++ b/cereeberus/compute_mapper.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Creating a Mapper Graph using runmapper\n", + "## Creating a Mapper Graph using computeMapper\n", "\n", "We may construct a mapper graph from a point cloud" ] @@ -19,14 +19,7 @@ "\n", "number_of_points = 500\n", "\n", - "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)\n", - "\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append(data[val])\n", - " val += 1" + "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)" ] }, { @@ -56,37 +49,543 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We may compute the Mapper graph of this shape using runmapper" + "We may compute the Mapper graph of this shape using computeMapper" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [ { - "ename": "SyntaxError", - "evalue": "invalid syntax (mapper.py, line 6)", - "output_type": "error", - "traceback": [ - "Traceback \u001b[1;36m(most recent call last)\u001b[0m:\n", - "\u001b[0m File \u001b[0;32mc:\\Users\\alexx\\AppData\\Local\\Programs\\Python\\Python313\\Lib\\site-packages\\IPython\\core\\interactiveshell.py:3577\u001b[0m in \u001b[0;35mrun_code\u001b[0m\n exec(code_obj, self.user_global_ns, self.user_ns)\u001b[0m\n", - "\u001b[0m Cell \u001b[0;32mIn[3], line 1\u001b[0m\n from cereeberus import MapperGraph\u001b[0m\n", - "\u001b[0m File \u001b[0;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\__init__.py:16\u001b[0m\n from .reeb.reebgraph import ReebGraph\u001b[0m\n", - "\u001b[1;36m File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\__init__.py:5\u001b[1;36m\n\u001b[1;33m from .mapper import *\u001b[1;36m\n", - "\u001b[1;36m File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\reeb\\mapper.py:6\u001b[1;36m\u001b[0m\n\u001b[1;33m <<<<<<< HEAD\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-6.67239692e-01 7.67884878e-01]\n", + " [ 3.01166417e-01 4.95836158e-02]\n", + " [ 2.96327674e-01 2.99426351e-01]\n", + " [ 5.94082172e-02 -3.88044892e-01]\n", + " [ 2.42702564e-01 -4.70867997e-01]\n", + " [ 1.02757210e+00 3.87629219e-01]\n", + " [-6.77609077e-02 3.78905775e-01]\n", + " [ 4.09498158e-01 -1.14985971e-01]\n", + " [-7.58119979e-01 -6.51026738e-01]\n", + " [-7.67969544e-01 -5.96047326e-01]\n", + " [ 9.39924380e-01 -1.47451908e-01]\n", + " [ 4.14317184e-01 3.04421917e-02]\n", + " [-4.24173263e-01 -8.66925566e-02]\n", + " [ 2.57241155e-01 3.97330671e-01]\n", + " [-4.34310814e-01 -9.39292529e-01]\n", + " [-4.59667394e-02 3.13095678e-01]\n", + " [ 2.70663837e-01 -2.31279042e-01]\n", + " [-3.45636424e-01 2.21849154e-01]\n", + " [-7.65913597e-01 -6.47509073e-01]\n", + " [ 5.32578640e-01 8.84473519e-01]\n", + " [ 4.19871089e-01 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "from cereeberus import MapperGraph\n", - "from cereeberus import computeMapper\n", + "from cereeberus import MapperGraph, computeMapper, cover\n", + "import numpy as np\n", "\n", "\n", "import sklearn\n", "\n", + "print(data)\n", + "\n", "graph = MapperGraph()\n", - "graph = runmapper(pointcloud, [0], MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", "graph.draw()" ] }, @@ -94,7 +593,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The runmapper function takes 4 inputs:\n", + "The computeMapper function takes 4 inputs:\n", "- A point cloud\n", "- A lens function\n", "- A cover\n", @@ -105,12 +604,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Covers may be created using the Mappergraph.cover method" + "Covers may be created using the cover method" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -122,7 +621,7 @@ } ], "source": [ - "print(MapperGraph.cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" + "print(cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" ] }, { @@ -141,22 +640,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.6, (0.6, 0)], [-0.1, (-0.1, 0.5)]]\n" + ] + }, + { + "ename": "TypeError", + "evalue": "unhashable type: 'list'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[5], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m graph2 \u001b[38;5;241m=\u001b[39m \u001b[43mcomputeMapper\u001b[49m\u001b[43m(\u001b[49m\u001b[43m[\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0.6\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m0.1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43;01mlambda\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43ma\u001b[49m\u001b[43m \u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43ma\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mtrivial\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[0;32m 2\u001b[0m graph2\u001b[38;5;241m.\u001b[39mdraw()\n", + "File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\compute\\computemapper.py:105\u001b[0m, in \u001b[0;36mcomputeMapper\u001b[1;34m(pointcloud, lensfunction, cover, clusteralgorithm)\u001b[0m\n\u001b[0;32m 103\u001b[0m coveringsets \u001b[38;5;241m=\u001b[39m __createcoveringsets(lensfunctionoutput, cover)\n\u001b[0;32m 104\u001b[0m clusterpoints \u001b[38;5;241m=\u001b[39m __cluster(coveringsets, clusteralgorithm)\n\u001b[1;32m--> 105\u001b[0m outputgraph \u001b[38;5;241m=\u001b[39m \u001b[43m__addedges\u001b[49m\u001b[43m(\u001b[49m\u001b[43mclusterpoints\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 106\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m outputgraph\n", + "File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\compute\\computemapper.py:81\u001b[0m, in \u001b[0;36m__addedges\u001b[1;34m(clusterpoints)\u001b[0m\n\u001b[0;32m 79\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m val2 \u001b[38;5;241m<\u001b[39m val1:\n\u001b[0;32m 80\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m clusterpoints[val1][\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m!=\u001b[39m clusterpoints[val2][\u001b[38;5;241m0\u001b[39m]:\n\u001b[1;32m---> 81\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28;43mset\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mclusterpoints\u001b[49m\u001b[43m[\u001b[49m\u001b[43mval1\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;241m&\u001b[39m \u001b[38;5;28mset\u001b[39m(clusterpoints[val2])) \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[0;32m 82\u001b[0m outputgraph\u001b[38;5;241m.\u001b[39madd_edge(val1, val2)\n\u001b[0;32m 83\u001b[0m val2 \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1\u001b[39m\n", + "\u001b[1;31mTypeError\u001b[0m: unhashable type: 'list'" + ] } ], "source": [ - "graph2 = MapperGraph.runmapper([(0.6, 0), (-0.1, 0.5)], \"x\", [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", + "graph2 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", "graph2.draw()" ] }, @@ -164,7 +673,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "runmapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." + "computeMapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." ] }, { @@ -206,7 +715,7 @@ "import matplotlib.pyplot as plt\n", "\n", "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled');" + "plt.axis('scaled')" ] }, { @@ -227,7 +736,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", "graph.draw()" ] }, @@ -249,7 +758,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", "graph.draw()" ] }, @@ -271,7 +780,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", "graph.draw()" ] }, @@ -293,7 +802,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", "graph.draw()" ] }, @@ -301,7 +810,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "runmapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" + "computeMapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" ] }, { @@ -329,7 +838,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", "graph.draw()" ] }, @@ -337,7 +846,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "runmapper accepts any function recognizable by numpy as input" + "computeMapper accepts any function recognizable by numpy as input" ] }, { @@ -399,7 +908,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"y\", MapperGraph.cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", "graph.draw()" ] }, @@ -421,7 +930,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"x*y\", MapperGraph.cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : a[1] * a[0]), cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", "graph.draw()" ] }, @@ -443,7 +952,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"sqrt(x+15)\", MapperGraph.cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]+15)), cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", "graph.draw()" ] }, @@ -465,7 +974,7 @@ ], "source": [ "graph = MapperGraph()\n", - "graph = MapperGraph.runmapper(pointcloud, \"sqrt((x*x)+(y*y))\", MapperGraph.cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]**2 + a[1]**2)), cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", "graph.draw()" ] } From 6f4820626bf8c085cfb25f286889dfc31ef564ff Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 12:32:08 -0700 Subject: [PATCH 09/16] fixed bug in trivial clustering passing by reference --- .../cereeberus/compute/computemapper.py | 22 +- cereeberus/compute_mapper.ipynb | 1003 ----------------- doc_source/notebooks/compute_mapper.ipynb | 497 ++++++++ 3 files changed, 508 insertions(+), 1014 deletions(-) delete mode 100644 cereeberus/compute_mapper.ipynb create mode 100644 doc_source/notebooks/compute_mapper.ipynb diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 10db8ce..02b4c9a 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -8,8 +8,8 @@ def __runlensfunction(lensfunction, pointcloud): lensfunctionoutput.append([lensfunction(pointcloud[val]), tuple(pointcloud[val])]) else: print("Invalid lens function") - print("Lens Function Output: ") - print(lensfunctionoutput) + #print("Lens Function Output: ") + #print(lensfunctionoutput) return lensfunctionoutput @@ -34,8 +34,8 @@ def __createcoveringsets(points, cover): coveringsets.pop(position) else: position += 1 - print("Covering Sets Output: ") - print(coveringsets) + #print("Covering Sets Output: ") + #print(coveringsets) return coveringsets @@ -48,11 +48,11 @@ def __cluster(coveringsets, clusteralgorithm): for val1 in range(len(coveringsets)): cluster.append(coveringsets[val1][0][2]) for val2 in range(1, len(coveringsets[val1])): - cluster.append(coveringsets[val1][val2][1]) - finished_cluster.append([cluster[0], cluster[1]]) + cluster.append((coveringsets[val1][val2][1][0],coveringsets[val1][val2][1][1])) + finished_cluster.append(cluster[:]) #Works like this to avoid passing by reference in python lists cluster.clear() - print("Clustering Output: ") - print(finished_cluster) + #print("Clustering Output: ") + #print(finished_cluster) return finished_cluster #execute sklearn clusterings elif callable(clusteralgorithm): @@ -61,7 +61,7 @@ def __cluster(coveringsets, clusteralgorithm): cluster = list() for val1 in range(len(coveringsets)): #alters data to fit with sklearn clustering algorithms - for val2 in range(1, len(coveringsets[val1])): + for val2 in range(1, len(coveringsets[val1])): coverpointcloud.append((coveringsets[val1][val2][1][0],coveringsets[val1][val2][1][1])) #does clustering algorithm cluster_out = clusteralgorithm(coverpointcloud) @@ -94,8 +94,8 @@ def __addedges(clusterpoints): outputgraph.add_edge(val1, val2) val2 += 1 val2 = 0 - print("Final Output: ") - print(outputgraph) + #print("Final Output: ") + #print(outputgraph) return outputgraph diff --git a/cereeberus/compute_mapper.ipynb b/cereeberus/compute_mapper.ipynb deleted file mode 100644 index aaa5ad8..0000000 --- a/cereeberus/compute_mapper.ipynb +++ /dev/null @@ -1,1003 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Creating a Mapper Graph using computeMapper\n", - "\n", - "We may construct a mapper graph from a point cloud" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_circles\n", - "\n", - "number_of_points = 500\n", - "\n", - "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We may compute the Mapper graph of this shape using computeMapper" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[-6.67239692e-01 7.67884878e-01]\n", - " [ 3.01166417e-01 4.95836158e-02]\n", - " [ 2.96327674e-01 2.99426351e-01]\n", - " [ 5.94082172e-02 -3.88044892e-01]\n", - " [ 2.42702564e-01 -4.70867997e-01]\n", - " [ 1.02757210e+00 3.87629219e-01]\n", - " [-6.77609077e-02 3.78905775e-01]\n", - " [ 4.09498158e-01 -1.14985971e-01]\n", - " [-7.58119979e-01 -6.51026738e-01]\n", - " [-7.67969544e-01 -5.96047326e-01]\n", - " [ 9.39924380e-01 -1.47451908e-01]\n", - " [ 4.14317184e-01 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from cereeberus import MapperGraph, computeMapper, cover\n", - "import numpy as np\n", - "\n", - "\n", - "import sklearn\n", - "\n", - "print(data)\n", - "\n", - "graph = MapperGraph()\n", - "graph = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The computeMapper function takes 4 inputs:\n", - "- A point cloud\n", - "- A lens function\n", - "- A cover\n", - "- A clustering algorithm" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Covers may be created using the cover method" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)]\n" - ] - } - ], - "source": [ - "print(cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Covering sets may go beyond the specified range if they have a nonzero percentage overlap with other covering sets." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Both covers and point clouds may be input manually" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[0.6, (0.6, 0)], [-0.1, (-0.1, 0.5)]]\n" - ] - }, - { - "ename": "TypeError", - "evalue": "unhashable type: 'list'", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn[5], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m graph2 \u001b[38;5;241m=\u001b[39m \u001b[43mcomputeMapper\u001b[49m\u001b[43m(\u001b[49m\u001b[43m[\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0.6\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m0.1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43;01mlambda\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43ma\u001b[49m\u001b[43m \u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43ma\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mtrivial\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[0;32m 2\u001b[0m graph2\u001b[38;5;241m.\u001b[39mdraw()\n", - "File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\compute\\computemapper.py:105\u001b[0m, in \u001b[0;36mcomputeMapper\u001b[1;34m(pointcloud, lensfunction, cover, clusteralgorithm)\u001b[0m\n\u001b[0;32m 103\u001b[0m coveringsets \u001b[38;5;241m=\u001b[39m __createcoveringsets(lensfunctionoutput, cover)\n\u001b[0;32m 104\u001b[0m clusterpoints \u001b[38;5;241m=\u001b[39m __cluster(coveringsets, clusteralgorithm)\n\u001b[1;32m--> 105\u001b[0m outputgraph \u001b[38;5;241m=\u001b[39m \u001b[43m__addedges\u001b[49m\u001b[43m(\u001b[49m\u001b[43mclusterpoints\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 106\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m outputgraph\n", - "File \u001b[1;32mc:\\Users\\alexx\\Documents\\GitHub\\ceREEBerus\\cereeberus\\cereeberus\\compute\\computemapper.py:81\u001b[0m, in \u001b[0;36m__addedges\u001b[1;34m(clusterpoints)\u001b[0m\n\u001b[0;32m 79\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m val2 \u001b[38;5;241m<\u001b[39m val1:\n\u001b[0;32m 80\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m clusterpoints[val1][\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m!=\u001b[39m clusterpoints[val2][\u001b[38;5;241m0\u001b[39m]:\n\u001b[1;32m---> 81\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28;43mset\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mclusterpoints\u001b[49m\u001b[43m[\u001b[49m\u001b[43mval1\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;241m&\u001b[39m \u001b[38;5;28mset\u001b[39m(clusterpoints[val2])) \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[0;32m 82\u001b[0m outputgraph\u001b[38;5;241m.\u001b[39madd_edge(val1, val2)\n\u001b[0;32m 83\u001b[0m val2 \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1\u001b[39m\n", - "\u001b[1;31mTypeError\u001b[0m: unhashable type: 'list'" - ] - } - ], - "source": [ - "graph2 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", - "graph2.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "computeMapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_moons\n", - "\n", - "number_of_points = 200\n", - "\n", - "data, labels = make_moons(n_samples=number_of_points, noise=0.05, random_state=0)\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append(data[val])\n", - " val += 1" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", - "plt.axis('scaled')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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b9k+MDZ82agWB/m5NxQtq1qHBxnPhnjdP4OCHJag70QpDSzfCE4KRNScei781EdFpYegyduCd0idx65ifOL0o16N7LGoN5dhY/YaKBO0NBnz+VD5qT7QgMdf6PiBFn1dh71snVTGl/PDOJEmvtKMIO+rX2tyOpq5afFL1ct+/bW1Lc1UHXrzzMzSUtOG8707B/K/noOizSrz6rS/Q3d2DakMpvqz90OZ2EBE5MgTyZulfVU2Frcev7k4jPvj5bvW1s67NxvIfTkPq1Bh89uQRvPbtLaqAvcdkwIfl/x7l/41/OtVWgB31n6iLY1vPP1X5TeocuPD2HFzy0+mYemkGjn1RhWdv3oiW6g51Lixo2YXDzdv8q8dCpkFZ5n1I2rp//QqExwej4lADnr1p46CPmXVdNhbekYuAYB0+/u0+1Be3DvJVGnxe8x7mxV5sU1LbLr/QfjWutrZly78K0N1hxJ2vno+olN65xPLmfPWbX2D/u8WYeU02vqh9H4sSVtrVe0JEZKuC5p1q9oc9xy/pXb3t+aVInxHX97GZV2cjKjVMhYuT22qQvSARh5q+VBdeUYHxo/b/8Udbaj/om51j6/nnkp/OOOtjuRek4NkbN6reqHPumqDCpvTGT4la4B89FrLw1c76dX1jSfpAnfpBDic8LliFiqGZ1UIwJ9oO2VRbIVNc+9dV2NqW/HXlGL80uS9UCHkzxmaF48gnZerfLT0NONqyZ9jnIiJy/AJNa9fxS4JF/1BhMWFZ71o8tcdb+i7Sdjasd3KLqT+ZeCABzt5z4WCiUnvPRTI0IuS8Vtx+BNUO1B06LVj88pe/VFf4/W8TJ06EK1R0nFAribmKpL8TrQeH/Top1mw3Wt5Etmup6kB7vQEpk6PP+pz0WlTlN55uh86mdhAR2UsujGSK/kgKzvtrq5X1g4DQmED1tzzvcQdnyZFtitsKRlSs2d5oQFudQfVufPjz3h25x8zvv2ikxqaLbJcOhUyZMgXr1q376gn0rhlN6Z0xMfQCWCMhY1VSazF8OxybktNa2xuKBkuW0pXV0dSNni4j9IGwqR1ERPaSC6Mec+/VqTN8+dxRBIXrMW5RUt/HyjqOqcULtRqP7QD3anIOkgtQE2QhLPs9ceEaGLt6g0lIdCAu/FEeshcmDrjIdvQ8Z43dqUCChOzuaSuDwaBuZ24UNhwZqugdU3Lsh2lLsJDi0OHUGaoc+qV2G3q/Xhd49pvN8rGeTgkWOpvaQURkr3pDpdOe64t/FeDk1hpc/NPpCI7s7bEQMnVR1ucJ01svJCTH1XdVDbpUt62u/9s5MHYZ1fCVzBLp7ugZ8Hk5tzn7HGR3xCwsLERqairGjh2Lm2++GadODb1Qx6OPPqpW6rLcMjIybPo+shCLq9nyPRxtR0BQb52HJSkOeM7TH9OfrgUZjf8rEfkfZx1bDq8pxaa/Hsb0K7Mw+7qxZ32+h8cwF/8OzQ4/fsy8BIxbnIz5t+Xgqt/PUzNKdr567Kz1otwWLObPn4/nnnsOa9aswZNPPokTJ05gyZIlaGmxXoPw0EMPqeU/LTfZCdQWjq5lbg9bvkeA9qtkbg/LEIhlSKS/1ppOhEQFqN4KW9tBRGQvZxxbTnxZjfd/tkutwbPiZ2fPNBCBGh7DXCVAG3h6r4+Ri8kIR9LEaBz6aOB5OFAb7L6hkBUrVvTdz8vLU0EjKysLr7/+Ou666y6ru4DKzV4JQWkuGwYRUiUt25oPJzEo3aF2RCSFqAKnisO9RZr9yaImiRN6izrlBZMUlGn38xMRDSchOH1Ejy/bX483HtiKlCnRuPLxedDqz74Wlf2PnLXBI51Ntq93ZqWhDMH3dH/Vky5D/UnBzj0HjajaJjo6Grm5uSgqcn7xYVrIeLhaug3fIzV0nMPPP2F5Goo2V6K5sr3vYye2Vau1NSZdmNYXLNJDcxz+HkRE1sQEJCJIG+LQY2XV4Ne/+6WaonjtEwsHncYvx6+M0Fxup+5CaSHj7N/XpceEjuausz4uq3VWFzUPmK0oF85poWcPb43EiKZ0tLa24tixY7j11lvhbInB6YjQx6h1HixkXKizpVsNJYjCTZVqdUsx58ZxCI4IQFN5Ow580Fv3UXG497Gf/7N38zJZT2Layt5kJr+onIiZNr0xYwOTVQFN/3EuW9qy6O5c5K8tw8t3f445N41TRTOyFGtCTiTyruhth0wjyrWhHURE9pIT/oTIOTjYuGVAz+twxy+Z4PHavVvQ2dyllvA+tnlgEWh0RhjSp8eposLciFmj/L/yL5lhE9SQlhTJ2vr7g9mMv160BpMvTkf8uAgEhOhRU9isFmYMDtdj8TcmDui9Hxc+3X3B4gc/+AFWrlyphj/Ky8vxi1/8AjqdDjfeeCOcTVaiXBC/AusqX+2riN32QpEKDhayjr3chCxXKifzxrI2bP7bkQHPZfl35px4FSwsKduWbWPljXlO/KX44Iyla21pS2RyKG55ZgnW/f4ANv75kFp0ZpzaK2Sqqq+QdiQGZ6q2EBG5woK4Fdjf+Jldxy/RXNl7ovr0z2evcTBtVaYKFnpNIGbGnOfi/4F/C9QGY07McmyrW923nsVwv7+IxBDMuGoMinfUIH9dmVqiXT42eUU6Ft0zoW+7C5l5OSlqvtP3e9GY+69VPYwbbrgBmzdvRl1dHRISErB48WI88sgjGDdunNP3c7esOPb7/G+jy9T7AnemW8Y8hEmRc2362k5jG36ffy86jG1OX1fjuowHMD1miVOfk4jIQg7xstW2rFUwkoWWziQXRoviV2JF6u1Oe06yvl36nwrud0nd4TfHPap6RZx5/rarxuK1115TPRWyLkVpaan6tz2hwl4yL3pl6t1OfU7p9pkWtcjmUCGkMOmK9HudGiokKUoXYl70Yqc9JxHRYL2u12R89/SCg056TmgRFRCPZck3OO05ybq4oBRcmHwTnEmCofTG2xoq7OHxS6VJN5tskOKM6TbyZogIiMHKtHvsfuzUqIWYFXO+U96c0o4QXQSuTP82i56IaFRmh1yaeqeTnk2Oxhpcl/mA06cpknWLElYhK3TSgH1fRnJhGx+UhguTbxnxcw3+/B5OTrzXZnxfFZeMJFzIDzJcH4W7xz6MMP3QQzDWSK/F5Mh5DrfB0g6ZnnX3uIedPq5FRGSN1KwtSxpZD4Oc1OTPzWN+hKww1+wTRYPTaXS4LfunapbISM+FMYFJuGvsrxDoojWUPD5YWBYIuXXMQ2o8T9iV2E6PXmSFTca94x9TXUqO0mn0uCHrBzgv8ZrTmd3+H19aaA7uzXkMicG2rUBKROQsFyRdh6vTv6tmGdh7/JIjnlwMyUXRxMg5LmsjWResC8WdY3+J6IYxvR9wYHReZgl9a/zvVO+9q9hVvOkM9hRvDqa4LR/vlz2Nis4TQ+7hIW8CmU2iMQTgsjF3YH78xU4ddihtL1LtKO0oHKYd2t45yAYd8vTLcO2Mb3CzHiJyq8auWvxzx8NoCpftsjVyJrDylb3HTL0mAPPjLsby5Bs5/OFmhw4dwhtvvAFzcivCF7eiwVh1el8t05DnIKmJuSTlNlVj6Oi50Nbzt2u2JnUh6X77Tu7/obS9ELsaNqC49QiqDaUDFhCRH2B6SA6KP2uA4UQgwq9KhybBubUM6aHjVc9DeccJ7K5fr7adre4sGfDLjdTHIj00F8HVCTiw5iRqYnugmcGaCiJyL01HADrXxyMgOEJNS6zCCVR0HEe3+atFlUJ0Yeo4OiFytqp14+qa7tfR0YHVq1er++fmfg3nTT4PJ9sOY0/DRhS3H1GzR/pvWCZDHlmhE9XMw/HhM0btotbrgoWFrFZpWbFSNlBpN7bAbDYhSBequovExpMbsen4JuzYsQNTp051STtSQ7KRmnb3IO0I6XsjGlIMKNzwRzVN9+jRo5gwwflVuEREttq+fbuahpqdlIsrxn9dfcxkNqK9p0VtKCbDz6G6CBaXe5hPPvkEbW1tiI+PV/t0ye8nO3yKun2102ybOgfJ+UfOQ+7gE33yem2AGvuLCozvCxVi9uzZ0Gq1agfWysrKUW7HV+le9kqRtogtW7a4vB1ERNZ0dXVh9+7d6v6CBQsGLEoYHhCN6MB4VeDOUOFZjh8/jr1796r7q1atgl5/dr+A1M5YzkHuChU+EyysiYiIwKRJk9R96bVwJ9mwzRJyZA0QIiJ3kJNTZ2cnYmNj1V5P5Pm6u7vx/vvvq/tz585FRoZnF//7dLCw/BLEgQMH1JvJXaTQZdq0aeo+ey2IyB1k+GPbtm19FzvslfAOn376KRobG9V5ZNmyZfB0Ph8sMjMzkZiYqBKfpRvJXc455xz195EjR1BfX+/WthCR/5EaLzn2BAcHY8aMGe5uDtmgrKwMW7duVfcvvfRSNbTu6Xw+WEgit/RayHDIKM+uHUACzvjxvVu1f/nll25rBxH5J8sJatasWQgMDHR3c2gYRqNRDYHIeUsmIHjL0JXPBwuRl5enUp4kddnm3RN6LaT3pL39q93piIhcSQrYT548qS625s0b2QrCNDq2bNmCqqoqhISE4JJLLoG38ItgIcl8+vTpHlHEOWbMGKSkpKCnp8ftbSEi/+utmDx5slrkiDxbbW0tNm3apO5LqAgL8551RPwiWAjLcIiMMUoRjLvI1cLChQv75pJL7QcRkSu1trbi4MGDZ00xJc9kNpvVEIgMhcgO4pbCf2/hN8FCFhQZO3asuu/unoIpU6aoKwYZCtm3b59b20JEvk+OeXKSSk9PVzfybLt27VJLEwQEBOCyyy7zutk7fhMs+vda7NmzRw1FuIusZ2G5apAiTpNp8DXeiYhGSnpFd+7cqe6zt8LzNTc3Y+3ateq+TC2Njo6Gt/GrYCEVtdJTIOutW7oF3UWqsmXKlxSUFhQUuLUtROS7ZA0f6R2VY59lwUDy3CGQjz76SK2OmpaW1ncx7G38KlhIT8GcOXM8YjhECkotbeHUUyJy1YnKUrQpM0HkGEie6/Dhw+pCU35Psmy3t/6+vLPVIzBz5kzodDqUl5erhUfcSd7o0paSkhJ1IyJy9v4SNTU16kJGeknJO3YuXbJkiVr3yFv5XbCQKTtSPOkJvRaylwmX+SYiV7H0VsgqmzL0St6xc+nixYvhzfwuWAjL4jBSZyG/SE9YMCs/P19tq05E5AzSU1FUVNS3Lwh5rmPHjg27c6k38ctgIUUxqampavqVzBBxp4SEBOTk5Kj7rLUgImf3VkycOFHtZEqeqaurCx988EHfRa+n71xqC78MFsJSbSvTsNw93dPSayFrWri7B4WIvJ/MAtm/f7+6zymm3rNz6QUXXABf4LfBQuosZP31pqYmFBYWurUtWVlZqgdF1taQ1TiJiEZCLpjkeCLbB8gOz+SZysrK+raxl4WwvGHnUlv4bbCQFc1khohw98lcVlWz9FpIQSmX+SYiR8kQr6UwXXorvG3VRn/6Pb333ntqSrAU8VuGxH2B3wYLYVlHQqZkubtwUhaukRXWZMqRpYiHiMheUpQue4OEh4f3zYAjz/PFF1+gurpa9ZxffPHF8CV+HSxiYmL69rd399RTWQjFsjkZl/kmImcsiCXr5JBn7ly6efNmr9y51BZ+HSz6F3FKL4FU57qTzDWX9NrQ0KCmnxIR2aO4uBiVlZVquuLs2bPd3RwaZufS8ePHe93Opbbw+2AhW9LKVCyDwdBXRe0Jy3zLglnyAiQispWlt2L69OkIDQ11d3PISmGtZefSSy+91CdrYPw+WMgvtf/+Ie4+mVu6L6VaWF58RES26L+hIaeYeu7OpevWrfPqnUtt4ffBwjIEIelRCmncfTKXgiu52hBc5puIbGWZtijd67IsNHkWs9mMDz/8UA25p6ene+3OpbZgsABUXYNlnMvdRZzCUsR59OhRVeRDRDSUzs7OvlWE2VvhmQ4dOqSO6VKov3LlSq/dudQWvvs/s5MlPR45cgQtLS1ubYtcbUyYMEHdZ68FEQ1n9+7dav0b2RFz7Nix7m4ODbISqq/sXGoLBovTkpOT1RrtMs1z165d7m5O34JZUlAqc9KJiAYjxyzLIn+y2ZgvFgP6ws6l7e3tam8oCRa+jsFikF1PJVjIVCB3kpAj43DSDnevDEpEnkt6WWVrApkFkpeX5+7m0CA7l8o+UEKGQPxhbREGizNWv5SFSqSHwN3rSMhVh6XWQuo+3L3GBhF59hRTmd3m7dtt+5ouH9y51BYMFv1IkrQsKuMJRZyW7Y77F2YREVmUlpaqmxy7fHmWgbey7FwaFRWlppf6CwaLM0iwkN4CWcGuqqrKrW2RqmFLhbdclXCZbyIarLdCZrXJVHXy3J1LAwMD4S8YLM4QGRmphkQ8pddC1tiQsVNJvYcPH3Z3c4jIQ0hdheWYIEWb5Jk7l+bl5am1RfwJg8UgLF2KMiNDhiHcSRbusrSHy3wTkYVcDcvxIDs7W81qI8/buTQ0NNTndi61BYPFILKystS0IJkX7glbmEuwkKKsiooKNURDRP5NigJl7QrBBbE8S01NzYCdS/1xzxYGi0FIjYWll0A2jHF3L4HMVOEy30RkIcXcsnFiXFwccnJy3N0cGmTn0pycHEydOhX+iMHCChkXk2Kburo6HD9+3N3N6Zt6WlhYqBIxEfknKeK2FAVyQSzPIheiJSUl6tzhqzuX2oLBwoqgoKC+XgJPKOKUKxOZfirYa0Hkv2S/iYaGBgQHB/cdo8gzimn771waFRUFf8VgYcNKnPJGllkZnrTMt7v3MyEi904xlanx/jSF0ZP5086ltmCwGGYzMKm4lheNdHG5m6zaZtnPxNIVSkT+w1LALWvcWC58yDN2LpVhalmobNWqVX47BGLBYDEMS/KUYqmenh51v8dkQnVHC8rbm9Fo6HBLr4UEHSnesmjp6lTtqepoQZeb9zkhopFp6upQ72c5znSbjGf1VkyePFmtuUOu1//YajD2ngOG2rk0ISEB/o4Lyw9Dti+XN3BpRzN+9OkbOGZuR0FTNbr6vdljg0KRF5uCC9MmYFXWFITqA13aHqm3qK6rw98+X43CoB7srStDdedXO6DqNFrkRMZjXmImrs2ejskxnONO5Mk6errx4anD+LisAPvqylBnaO/7nF6jxYToRMyOTkFzwUFInOAUU9eRC7NPygqwuuQI9tSVqUDR/9g6PjIO8xIycU32dEyNTcHHH3/ct3Pp4sWL3dp2T6Exj/JcyubmZlXUIoUu3pC4T7TU4fvr/4ODhgZozIDZSg+XBhqYYUaoPgB3TZiPeyctQpDO+bnNaDLhkU/fxqtVR9Cl00ALDUwY/FcobwKj2YQZsan45exLMC02xentISLHSW/EU0e+xNP5X6K1p2vI97N0L8ui/lnGQDx16e3IieKVsTOZzGa8WLgTTxz6DA1dHdBqNOpjQx1bc0NjMP5wDeI7gbvuukvVV/gyW8/fDBZWyI/lucIdeGzfBpjMJhjt+DFJ9hgbEYc/LbzCqb0Fp1ob8MDWd1UPhT10Gg2k+fdOPgffm7IUOi1HwIjc7WhTDb735dsobKqxEiUGJ+FDTnoPTjsP35i4wO/H852hrK0JD2x9B7tqS+16nLrYhBkXBafgiVV3QO/jx9ZmBgvHyY/k4d2f4IUixws25WQeoNXh2aU3qiEJZxyEbtrwIpq7O+0KOf3J4eei9An488IrVduIyD3k4uDWjS+rMXtH38/i+rEz8Js5X1NBgxxzrLkWN2x4EU1dcmx1bKNH+elfkJqDv55zNQJ1vntstfX87dvxykF/OfTZiEKFkIOFjNXdufk1FDRWj+i5ZIzv5k9fGlGoEPLIT0oL8LMdH42oPUQ0suHV2za+gs6ekYUK8Z/je/H4/k+d1jZ/U9PRips+fUkVyzoaKoT8FjeUF+HHOz5wavu8FYs3z7CntkyNsVljOF6G+v+sQ+fRU9K1geCcDMTefAmCxpxdvyBjpV2mHjV88e5FdzrUSyC9Jz/e/sHpF/7ZB6Hqv7+J1s17rD4+8+8/hD72q2Qpz/DGyf24IC0HF6f3LrhFRKNDaqQe3PouOo3dVmsphOFEORre2IDO/GKYu3ugT4xB5LK5iFrRuwJvf//M/xLnpYzD/MQsF7fet8ix9ac7P0KDod1qwOuuqEX96+vRWVAMU2sH9PFRCF+Uh6jLFkMbNLBIX4ZE3i0+iGWpObg0czL8GYNFPzKN9H+2vavGLAcbIZI3e/kvnoY+LgoxV5+vgkXzJ9tQ/qt/Ie2RbyEw9exiKnnBHm2qxjMF2/CtSb1TRe3x/qlD2FxpfUnxyOVzETJt3MAPms2ofeY96BNiBoSK/t12P9nxEc5JykZEQJDdbSIix7xYtAv76yuG/Jr2fYWofPwldbESfdV50AYHoruqHj31TVZrLn6w7T2s/9q3fbob3tlWl+ZjfXmh1c/31Dai7Gf/gDYkGFEXz4c2LBSdhafQ8N8NMBwvR/L/3jLosfVnO1djcXI2ogJD4K8YLPr5tKIQxa0NVj9f//o6aAIDkPrrb0IX0btjXfjiGSh54I+of20tkh+8adDHSUT5V/5W3Jk73643voSbvx3+Qr1YrV3bBOdmqlt/nfknYTZ0q2RtrT3SA/LOyQO4NWeOze0hopH1Vjx1ZOjl+E3tnaj5+5sInTkBSQ/cAI0NxYDS8yHrLHxclo+VmVOc2GLf9g91bO2dzTeYls/2wtTWidRf3oPAjKS+Czm5cGvdvBfG1g7owgeGB3mmlu5OvHliP+6cMB/+ijUW/bxwdKcqurRGuiWld8ASKoQ+JgIhk7LRvrsAps6vFqw6k0xfkrnR9thdV4ai5lq7KsZF6xf7ZYtWhC8aeh+B5wt3uH3nViJ/sbGiaMB6M9beu8amVsTesFyFClNnF8ym4cf+pXjz+aPu39PIW+yvL8ehxiqroUKYOnqP57qo8AEf10VHqOOrRm/9IvF5Pz+2jihY/O53v1PDBt///vfh7aQ6e1tN8ZDFVDLWqQk8u5NHExQA9BjRVWK9SFMCy+aKY3a1aVNFkZovbQ9zjxGtWw8iKDcDAYkx1r9OFZHVqysdInK9jRXH1GJXQ+k4cAyakCD01Dej5IE/4eTtD+PkHb9Bzb/eg6mr2+rjZL0FmWnS0m394oa+sqni2JAXkSJkcrb6u+apt2E4WaGGRlq3HEDz2u2IvGShGqKydmwtbWsasvfb1zk8FCI7fj711FNqe3FfkN9YNWyFdmBqPAyFpeoKwtJFae7pgaGoRN2Xg4E18tyyips99tWVqzU07CHjs6aWdkQM01thcbChAmlh/rsLH9FokRN/zzDv5+7KOtkXHVW/fxkR589G7I0XouPwCTSv2QpTeweS7r/e6mPl6HW4oZJFnDaQOhfTMB0KoTNyEXPdMjS+sxntu/L7Ph595bmIvf7CYb/HgYYKjImIhT9yqMeitbUVN998M55++mnExFi/KvYmRc11w35N5IXzVZVwzT/eRldpNbpKqlD9tzfR09DbvWke4opCnGypt6t7TNaucGgYRKdD2MJpw36t9IYUNtXa+R2IyBHHW4Y/xshwqqqPWjIT8bdfhrB5U9TfEcvnom3LAXX8sUZzek0GGp4sATDUMIiFFMAHTxqD+HsuR9KDNyLivFkqaDSt2Tr04zRav/5dONRjcd999+HSSy/F8uXL8Zvf/GbIr5WNsvpvliULbHgimf41nMgL56GnrgmN73/eN8UzaGwaolctRuPbm6x2jfUvsuo2mWwu4DSYzt7wZsjn7zSgfdcRhE4fP6AOZKgDkS3/byIaOYMNmwNKcbgIXzTwwkAKsVvW7UBnYQkCUuIHf6xGg45BNsmis9ly3Gvdsh+1T7+LjD9+X80EFBL05OKw/tWP1e/E2nFWo/Z/8d/fhd3B4rXXXsPu3bvVUIgtHn30UfzqV7+Cp7N1jYnYGy5Uc5i7S6ugDQ1GYGYy6l/9pPc5rLzh+7NnydcAjX1Tx9p2HOm92lls2zCICOQKnESjQt77/XcqHfRrYiLQXVp9dsFgZO+/ZS0Fa+SEF+DjS0qP5vFelhIIHJPSFyoswmZPQuumPTCcLEfotPGDPtasvof//i7s+p+XlJTge9/7Hl5++WUEBwfb9JiHHnpILf9puclzeKLMcNuHdGSKUfDEMSpUiI6Dx6CLjURA6tDBIiUk0q6ld7Mi7Btmav18HzTBgQidbdvCVzLea8//m4gcl25DLZP0gArjGfVaxobef+siw6w+Vk5mfD/bJtuG2gdjU5uqdzmT2dLzZDQNeWzN8uPfhV3BYteuXaiursasWbOg1+vVbdOmTfjLX/6i7hsH6eoLCgpSa4r3v3miKdG985TtJVXChmNliPraOUPOOZdFbGbEpdr13NNjU4etIrcwNrepgBM2d/JZK8INRbb9JSLXmxGXNuwsr7AFU9XfLZ/uGvDx5g27AJ0WwadnKlgzNYbvZ1vk2XBsDUiJU7NBusprzxoikemmlgtLa6b68e/CrqGQZcuW4cCBAwM+dscdd2DixIn40Y9+BJ0Xr/oWERiMiVGJKGiSop7BdRw5gcY3P0VIXg604SFqNkjLxj0ImZ4z6FK7/Umh0AI7q7Xl6/99dLvNAUcStD3DIDFBIcgO98+qZaLRJu/nt08OPH6eKSg7VRUItmzcDbPRpIJE5+ETaNt6ENGXLx10JV0h/aByhRwfbL1Hgwb+Lp7K/3LIr4lauRjtewtR8aunEXnRAmgjQtV6RR17jyLigtlWfxciMiAY46OGHxr3VXYFi4iICEyd2puoLcLCwhAXF3fWx72RrEIpa8dbo4+JBLRaNL7/GcydXapiOPb6ZYi6dBE0w4SqQK0el2fZ9zM6N2U8EoLDUNPZNuzXtn6xD7qosLOX97ZChmRuGT+bW6gTjZJLMybjV7s/RnvP0IWD8XdfDn18tAoXUjelT4hG3G1fU72iQ7k1Z66TW+y7FiVlq6Hpig7rkwlk4cPUh7+h9mxpXrsNxpYOtTZQzPXLEb1qyZDH1pvGz/LrHaS5pHc/q7Km4LF9G9SSrIP1WgQkxyHlJ7fb/bzyQrtu7AzVK2JvsdcdufPx+P4Nw06MSvv1N+16bumSvWHsTLseQ0SOC9EH4Obxs/FM/rYhNyCTFR1jrrlA3WwhvRUh+kBcNWb4KebUSy6o7pwwD7/du27IY2vw+HSk/Pg2u55bCw1uGjcL/mzEl6sbN27En/70J/iCUH0gfj1nhd1rRwxF1qKPDQrFg9POdejxd+TOw7jI+GFXibPXD6adh+RQz6x3IfJV3528BIkh4erk4yxyvPrlrIsRaeeFi7+THuoJUYlOP7Y+MO1cv190kP3gZ7g0YxK+ljHJiW98M/7fvJUOv+llzYs/LLhcBRRntEjeRLPi0lVgIaLRFRYQiP9bcLnTnk96Qy9IzWFvhQNkqEKOrdJ766xja15sCu6esAD+jsFikEVmHp+3EnMTMpwSLn4z52s4N8W2ugdrpsQk4++LrlYHkZHEC3nhj42Iw9NLrmNtBZEbCwcfn79SvZNHcoSR45PMbvjzwivUcYvsNyE6Ef9YfK0KF9oRHluzwmPxzNIb7FqryFfxJzCIYH0Anj33RlVzITQOvMhCdAH4y8IrccM459QxLEvLVW2KDgq2v+vu9DLi5yRl4z/LbkN00MCtfolodF0xZhr+vugahOkD7X4/W776koyJePG8m9QQLjlOLvxeOO8mNUvOnnWG+pufkIXXl92mhr0J0JhHeW9XWdI7KipKLZblqWta9Leu7Ch+suMj1BnaVKIdquhKUq/RbMK5yePwyNyvIcUFNQyNhg5VWf7eqUPqgDTUxmmW9gYYzZhbbcKvr7gNY8aMcXqbiMgx1R0t+NnO1VhfXigHY5iHOLHJSU92MY0JDFG1YCsyJo1qW31dU1cHfrNnrZoSrB3m2Cq/JfmsBMOfzFiO68fO8Iteo2Ybz98MFjboMhqxtqwALxXtUjsUdg2yLK8k1YvSJqgpnJNiHFtsyx6yodkrx3bjg1OHUNXRuwnamSFnSkySqk7WHTqFA7v3IDk5Gffccw+07Koj8igf7PgCf9+1ASVROrRrzYPWA0yPTVGzSi5On4ggHSf0uYpsd/7qsd14v/gQKjtazvq8BMA0bQjunX2B6tX2px6jZgYL1+gxmdSudWXtTThefBI7Pv8SU+JTcf8dd7utTfWGduQ3VqO126B6MZJCIpAbldi32VlbWxueeOIJtRncqlWrMHMmp5kSeZJXX30VR48exbnnnoupC+agoLEGrT0GFShSQyPVzDB/XhfBXRpOH1tbTh9bDbUN2PruGiTExOK73/0u/E2zjedvxl47SWGOFPzILccYjLL2LTA3D7+AlStJb8k5SdaHOGQRs6VLl2Lt2rVYv349Jk+erJZaJyL36+zsxLFjx9R9eW/GB4cjPnngJmTkHjFBoVjY79jaEduBHeY1qK+vVxdscmyls7FPfAQsiU1S3Ch3/Nht/vz5iI2NVW+Gzz77zN3NIaLTCgoK1D5LCQkJSExMdHdzaAghISHq9yQ8dUNNT8BgMQLh4ae3MjaZ1Anbk8k+LhdddJG6v3XrVjQ0NLi7SUQE4NChQ329FeT5MjIy1N8MFtYxWIzwZG0JF9Jr4elyc3ORnZ2tro7WrVvn7uYQ+b3+wyBTpvRObyfPxmAxPAYLJw6HeDqZDnXxxRervw8fPoyTJ0+6u0lEfi0/P1/1eMoQiKWLnbwjWJSXl6Onp8fdzfFIDBZ+FCxEUlISZs3q3SDn448/Vgc1InIPCfiCwyDeQ2rVQkNDVc9vRUWFu5vjkRgsnBQsWlrOnu/sqc4//3w1K6SyshJ79+51d3OI/FJHRweHQbyQ9PhyOGRoDBZ+1mMhZIqUzJcXGzZsUOtbEJH7hkHi4+Pd3RyyA4PF0Bgs/DBYiHnz5nH6KZEHDIOwt8L7ZGZm9gULT19qwB0YLPw0WHD6KZF7h0GOHz+u7rO+wvukpKSoY6hcmPHYeTYGCz9aJGuw6adjx45VRUiyKicRje4wiBRTcxjE++j1eqSmpqr7p06dcndzPA6DxQhFRESov2XakcxJ9yb9p58eOXKE00+JRnlRLA6DeC/WWVjHYOGE5CpTj7xxOERI4djs2bPVfU4/JXK99vZ2DoP4AAYL6xgs/LjOwoLTT4lGdxhEhk2Tk5MRFxfn7ubQCINFTU2NqpmhrzBYOIG3BwvpceH0U6LRwb1BfINM25eZdaK0tNTdzfEoDBZO4O3BwjL9VK6epMp58+bN7m4Okc8Og5w4cULdZ32F9+NwyOAYLJxYwOnNwaL/9NNt27ahvr7e3U0i8jlSJC3DIDJd0XK1S96LwWJwDBZO4As9FiInJ6dv+il3PyVyPu4N4psLZZWVlanjJvVisHACXwkWnH5K5DoyzMhhEN8ia5AEBweju7sbVVVV7m6Ox2CwcAJfCRZnTj9ds2YNp58SuWAYJCYmxt3NISfghmSDY7BwYrDo6uryiRkVMv1UUrgk8D179ri7OUQ+gXuD+CYGi7MxWDhBYGCgOhH7Sq/FmdNPvW1FUSJPHAaxDC2yvsI3g4Us7e1t2zq4CoOFk/jScIiYO3eumn4q0+O4+ymRc4ZBZH8JDoP4lrS0NGi1WrS0tPjM8X+kGCycxNeCxZm7n3L6KZHjuDeI7woICFCrqApuSNaLwcJJfGEti8Gmn44bN04VcHL3UyLHtLa2ori4WN3nMIhvYp3FQAwWTuJrPRaWimfptZC/ZX8Dy1Q5IrJ/GES6zKOjo93dHHIBBouBGCycHCxknM2XyPTTOXPmqPvc/ZTIftwbxH8WypKZdAYfmBk4UgwWTuKLPRYW5513HqefEjlALjQ4DOIfQ+FRUVGqZ6qsrAz+jsHCSXw5WHD6KZHjwyAiPT2dwyB+0mtRwuEQBgtnB4uOjg61vKuv6T/9lLufEtmGe4P4D9ZZfIXBwkmCgoLUQlm+2msh009lHxHB3U+JhsdhEP8NFiY/r0VjsHASmTnhi1NOz5x+On78ePWm+eSTT9zdHCKv6K2QYRAZfyffJoXucnHZ1dWFmpoa+DMGCyfy5ToLC8v004KCAhw/ftzdzSHyWNwbxL/I6psSIoW/L5TFYOFE/hAsEhISOP2UaBhyDLCcXDgM4n/DIaWlpfBnDBZO5A/Bov/00+rqauzevdvdzSHy2NkgcqKxHBfIvzYk82cMFk7kq4tkDTb9VMKF+PTTTzn9lOgM3BvEP8lQiEajQWNjo8+fB4bCYOFE/tJjIWQ4JD4+ntNPic4g73/LlMNJkya5uzk0yrMDExMT4e/TThksnMifgkX/3U9l+mldXZ27m0TkUUWbsmASh0H8TwbXs2CwcCbLQaStrQ1GoxG+rv/0U+5+StSLe4P4t0yuwMlg4UwhISHqSl74y/gap58SfaWpqalvRgCDhX/3WFRUVPjkKsy2YLBwIjnB+tNwiGX6qSz3LTj9lPydZRgkKyurb8E88i9RUVHqdy/HwvLycvgjvbsb4AtkR7sDJZXYVHACHzdpUNkZjg/+9S6CAgKQEReFvIxkzMlOx3mTxiLgdI+GL5EZIvv37++bfjolbzrWHyrC7uJy7C+pQGVjK4wmE0ICAzA5LRFT05OxfMo4jE+Kd3fTiezSZujC2oOF2HuqAvtOVaC6uRUmkxlhQYHqtd1ZWYoIk5a9FX6ss7sH9aGx2FffjS0vr0ar0axeI6FBAZicmoSpGUlYNnk8xifFwVdpzHJWHEVyJS+JTroMvb2wSX50Hx84iqc+3Y6jlbXQaTUwms7+ceq1WvSYTIgJC8HNC2fgjqVzEBzgW5lOCjjfW70GhZpwnDQFoa2ru+//3Z9Wo1F/m8xmzMxKxbeXLcA5OVluajWRbRrbOvDkhq14c+chdAzx2jabTTBDg1mZKbj/4sWYO7Z3JUbyfU0dnfjH+m14Y8cBtHd1QwOzei1YO/7NHpOGby9fgAXjemsyvIGt528GCwfVtLThl2+tw8b845DXiq0/RfnajNho/O66SzA9MwW+YuORY/jBS++h03T2m8kaeZPJG+yq2VPww8vORURwkMvbSWQv6X37/95ci9ZOA4w2vtEtr+0bF0zHA5csVj0a5Ls+PXIMP39zLRrbO9Xv3Z7XyLXzpuF/v7bUK14jDBYudLKmAbc//V/Ut7UP2kMxHEtqffyGFbgkbwK83Ytf7MbvPtik4oQjLyb5eWTFx+DZe65BQkSYC1pI5JinN27Hnz7+YkSv7dzkeDxz19WIDgtxQQvJ3Z7dvBO/X/0ZtBrpibD/8fIaGZcYi2fuvgZx4aHwZLaev1m8aaeKxhbc9s/XHQ4VQlKq5Ln/fW01Nh7x7pkUr2/fr0KFcDShys/jVF0D7nj6DTR3cBVP8gzPf75bhYqRvrYLq2px1zNvqu5x8i2vfLlXhQrh4OkA8ho5XlOPu/71huoV8wXssbCDFODc+a83sLu4bNBQ0VFxCo0HdqD9VBG6mhqgCwlFaGoWEpauQFBs72ps/clVkHR/ffA/t3vllXpRVS2u/svLZ401i7biIhS/+vdBHzfm1vsRmjZm0OS+cuYk/Pbai13SXiJbHSytxI1/f83mbu2aLWtRs3k1guKTMe7uHw762r5hfh5+evkFLmgtuUN+RQ2ufeLlQV8jnTWVqPn8Y3RWlqCnrQXagEAExSUhbv75iMgZfJl3eY1cNWcKfnXVhfBU7LFwASnK2XGi1GpPRe3WDWgp2I+wrBwkL78CMdMXoq3kOI4/+wd01lSc9fXyLB3d3Xj47fXwNjLL48evf6zKk4YSO3sJUi+7acAtMGbw2SDyBn1392F8VnDCRa0mGl630Ygfv77GxkohoLu5EbVfrocmwPoYuby2X9m6DzuO+/eul76ix2jCj/+zWtXMDaa7uR6mrk5ET5urzgXx5/SGhZI3n0HD3i+tvkbe2HEQXxYVw9v51tQEF7+Q/r5+65BfEzf3XISsugUa3Vc/1shJM3D8mcdRt3U90lbectZjJKRsOHJMzSqRsVhv8fnRkzhSXj3s14VmjEXkxOk2P6+MU/517ZdYMiF7hC0kcrxY80RNg81fX/XpewhJzZIuTRg72qx+nVyRyjHk2bHXOKml5C6b8o+jsMr6NgYR4yarW3+xsxfj+HN/QN32TYiZsdDqa+Rv67Zi4XjvninHHgsbbS44oWaCDCU0PXtAqBBBsQmqe9RQa/0kLNNUX9u6D97klS17VbttYTR0wmyybYlz6Qw6WFaFw2VVI2whkWNe3rK3r8B6OG2njqE5fz+Sl10+7NfKFen24yU4UVPvhFaSO7385V7obHyNWGi0WgRERMNo6MBQr5E9xeUorKyF3wSLJ598Enl5eWpsRW4LFy7E6tWr4Q8+OXDU5hNpf1LC0tPeAl2o9RoK6bVYvb9Afa23LBL0RVGxTcWr5R+9hoI//gRHHv8RTr7yN3RUDL9+vvyc1x4sclJriWxX39quFnazpbbCbDKhcu1biJk+H8GJqTY9vwSWdYf42vZmLZ0GbDtWYtPUY1OXAT3trehqqFU9Fa3H89VQ+fDHv0L4zVCI7DX/u9/9Tm0+JSfB559/Hpdffjn27NmDKVMGL0jxFftKKh2aBdJ0aBd6WpqQsPiSIb+uucOAiqYWpEZHekXR0nDvKY1Oh4gJeQgfOwn60DAYaqtQt30jTr78BMbccj9CktOHLJKV4jmi0XaobPjhPYuGPVvQ3dyAhBvvte97lLI3zpsdtuM1UrXhva9qKjQaROTmIeWiq4Z8jIRa6bX1m2CxcuXKAf9+5JFHVC/G1q1bfTpYdPX0oKSu0e7HGeqq1BVNSNoYVcQznIKKGq8IFkcraoed1y/DQnKziMiZisiJeTj2zO9RvelDZF3/TauPlec9bEP9BpGzHa2s6Vu4aCg9HW2o+WwNEs65CPrQcJufX573kJefNPydHKdlXyhbephj5y5FxMTp6uKyOX+fdHPBPMzO1/K09oQXn6qxkG3BX3vtNbVFuAyJWGMwGNQUlf43b9Nu6LZ7HntPazNO/fdf0AYFI/2Kr6vxteG0GbxjnnurwQCtA8NCgTEJKmDIdFzpRh4K5/yTO7Qaumyqr5CppTKdPHbOYoe+B3kv+f3ZWl8RFJeE8DG56sIy89q71dDIqTf+NWwokeFmvwoWBw4cQHh4OIKCgvCtb30Lb7/99pAb7jz66KNq3qvlZtlS1pvYexI1dnbg1OtPw9TZgazrvoGAiCibHudIDYc7qAOvg+UgAZHRKrGbuod+49haPEfkTLacMAz1Nap7W6ZSd7c0o6uxXt3Mxm5VpCz3h5odotOwZt6byXHa0Wq4yInT0VlRgq76miG/zpELN6+ebjphwgTs3btXLZDxxhtv4Otf/zo2bdpkNVw89NBDePDBB/v+LT0W3hYuwoOC1KZhsmvdcEw93Sh54xkYGmqQdcO31IwQWyV6ySJZSZHhNu+ZcKauxjpo9HpoA4deF98bFwwj75cor+1hetOkW1v6qyvXvQ3I7QxF//gNYucsQfLyKwd9fFKU7UMn5J2vEWtM3b09saYhZoaIxIhw/woWgYGBGD9+vLo/e/Zs7NixA3/+85/x1FNPDfr10rMhN28m6XFiSoLaKnko0r1f+s4LaC8/iYyr7xx0dUlrJJ9OTD17dU5PNDktadivkUroM8eeO6vK0FJ4COFjJ0IzxFWbXDX60gZt5D2mpCcNezUalJCM9KvuGHR4RLq6k5ZfgcDowbfEll1R8zJsv9ggzzPFluNfWwv0YREDPiY9tU0Hd0KjDxjyglN6RLz9+DfiBbJMJpOqo/B1s7PTcKB06JkhVRveRWvRIYSPnwJjRzsaD+4c8PnoqXOshoqxiXFesbudGBMfo3YilWlX1kjA0gYEqMJVCRgyK6Rh31b1saTzLhvy+WXjaW9/Y5F3ykmKH7Z3Ul7PkbnTzvp4/Y7N6u/BPmchy9/zte3dxibEIiwwAG1D1IFVrPkvjF0GhGWMhT4iCj2tLWg6vAtdddVIumAVtIFBQ86K86tgIcMaK1asQGZmJlpaWvDKK69g48aN+Pjjj+Hrrpw9Bc9sGhgUztRZVa7+lnAhtzNZCxbi+vl58KYenGvmTcULn+22OiQSkTsVTYd2o377Jhi7OvsOxgmLL1JFnEPRa3W4dMZEF7WeyLpAvQ6Xz5qslu93dJPBoYQEBuCiablOf14aPXqdFlfOmYpXt+61+hqJnDQTjfu3oX7PFlVvI0EiJDlDXVRJAftwr8EVebn+Eyyqq6tx2223oaKiQhViymJZEiouvNBzN01xluyEWMwfl4GdQ+wVMubm+xx67qAAPVbNmgRvct28PDz32S6rn4+bs1Td7CXdgCtnTkRUSPAIW0jkmBsXTMd/tu23+3HDvf9liO/qOVMRGhgwgtaRJ7hhQR5e3rLH6uejJs9UN0eOf1fMnoLwYC8vH7Dni5955hmcPHlSDX1IyFi3bp1fhAqLhy47Dxqbtyay3f+sWKKGFrxJZlw07lgyx+omPI6QpwoOCMD9Fy1y3pMS2SknOV7tROrMmUnyVBEhQbj3gvlOe05y74XmLYtmOvc1AiAsMBD3Lbe+fIO34LwnOw8437nQeb90Saezx6Thhvm2b9LlSb6zfCEyY6OdNk1W+oF+fvkFnBFCbvfgiiWq+t9pr20z8OurL0J0WIhTno/c73sXLUJ8WDAcn3w6kDzLL65chrjwUHg7Bgs73bV0LlbOHPmwhRyw0mOi8OdbVnrtnGUZwnnqzivVsIUzDsDfOG8eLnPCz5ZopKSQ+p93XqmuIJ3x2p6m70Rcd6tT2kaeoTD/COZ01yAAZqecSO9btgCX5E2AL2CwsJOEgEeuuQg3LejtZXC0K0ymr770resR4+VXMBmx0Xj53hvUUuSO/Cjk56c5nf7vv+gcVzSRyCHjEuPw0r3XIyEi3KH3uQQSedxlY+IxSd+Fd955B/v321+7QZ5n9+7danHIcI0J35meieToSIdeI1o5/mmABy9ZjG/7wBCIhcY8yltqygJZUvgpC2zJDqnebHP+CfzsjU9Q19Y+7N4ZlheR3GQ4ReoTpLrYV8j0vL988gVe+Hy3Cl/DVdRb9mPIiI3C7667BDOybNsdkmi0yfLKf1j9GV7btl+FBVtf22MTY/HYdZdgUmoiPvzwQ+za1VvsfOWVV6rCd/JO27Ztw5o1a9T9uXPnqpmSHd09+PPHn+OlLXvteo3I1H05/k3zkrVNbD1/M1g44aDz4b58vPTFHhyrrlcfkxeWpchT5q0LGS64fkEerp03zSs2GnPU8ep6VVH/1s6Dfft9yKJA8uOQ+dmWzZ3kjXTLOTNx0dTxCNSPeDkVIpcrrKxV4eKdXYdUkJZ3uO70HkDyura8tqVu6uZzZuCCyeMQoNOpj8lh1hIuZAOrK664guHCC33++edYv369ui97ZMnkBfl9WhyrrsN/tu7HW7sOoaP/8e+M18iMzBTcfM5MLJ8ix7/e14g3YLAYZfJjrGpuVbvSFVXVoaO7GwFaLdJjo9RKldkJMX0HIX/QbTSqn4P8PCqbWlSCDw0KwITkePXz8IUCJfJPXT3y2q5VW6xXN7eq13Z4cCAmJCdgclqi1eFNhgvvJb87WbNp8+beRdDOPfdcdesfKs58jRyrrlM72VY1taoLzPCgQOQmJ2BKWiJivfT4x2BBRORh5HD7wQcfqDF6hgvv+Z2tXbsWX375pfr3smXLsHix/bva+gJbz9/sgyYiGiUSJi67rHdJewkXUtApH5s2zfoy4OTeUPHRRx9h587eVZcvueQSzJ/PtUiGw2BBROTGcCGzCwTDhWeRfbDef/99tZu3WLlyJWbNmuXuZnkFBgsiolHGcOHZjEaj6k06ePAgh6wcwGBBROTGcCHd7Xv27GG48BA9PT148803kZ+fD61Wi6uvvhqTJ092d7O8CoMFEZEbw4V0sQuGC/fr7u7G66+/jqKiIuh0Olx//fXIyclxd7O8DoMFEZGHhQv52NSpQ2+vTc7V1dWFV199VW20GRAQgBtuuAFjx451d7O8EoMFEZGHhYu33npL3We4GB2dnZ14+eWXUVpaisDAQNx8883IzMx0d7O8FoMFEZEHYLhwj/b2drz00kuoqKhAcHAwbrnlFqSlpbm7WV6NwYKIyMPChRR0yjRHhgvXam1txYsvvojq6mqEhobitttuQ1JSkrub5fUYLIiIPCxcrFq1St1nuHDtKpIvvPAC6urqEBERoUJFfHy8u5vlExgsiIi8IFzIx6ZMmeLupvmEhoYGFSoaGxvVEtUSKmJjY93dLJ/BYEFE5AXhQtZWEAwXI1NbW6tCRUtLiwoTEiokXJDzMFgQEXkohgvnqqqqUjUVbW1tSEhIwK233qqGQci5GCyIiDwYw4VzlJeXq9kfHR0dSE5OVrM/wsLC3N0sn8RgQUTkRVNRGS7sV1JSotapMBgMaiqprFMREhLi7mb5LAYLIiIvIPtWWKai7tu3T4ULCRzcx2JoJ06cUCtqynLdWVlZuPHGGxEUFOTuZvk0rbsbQEREtocLGRaZPn26ChhvvPEGDh8+7O5meSzZ8+OVV15RoUKW55aeCoYK12OwICLyIgwXtpHdSaWnQnYrzc3NVT0VsgcIuR6DBRGRl2G4GNrBgwfVLqUmk0kNFV133XXQ6znyP1r4kyYi8uJwIcFi//79fQWd/l5zIfusvPfee+q+BC/5GcnPikYPgwURkZeSE+bll1+u7lvChRR0Tpo0Cf5o+/btWL16tbo/e/ZsXHrppernQaOLMY6IyAfCRV5enur6l2GRI0eOwN9s2bKlL1TMnz+focKNGCyIiLycP4cLGQratGkT1q5dq/69ZMkSXHzxxQwVbsRgQUTkA/wxXEioWL9+PTZu3Kj+ff755+OCCy5gqHAzBgsiIh8LF9OmTfP5cCGhYs2aNfjiiy/Uv6WXYunSpe5uFjFYEBH5Xri44oorBoQLWdPBl8j/6/3331fFmkLqKRYsWODuZtFpDBZERD4eLv773//6TLiQ/88777yjppXKkIf8P+fMmePuZlE/DBZERD7IF8OF0WhUPTAHDhxQ/7+rr75arVVBnoXBgojIx8PF1KlTvT5cyNLc//nPf1TNiE6nU6tpcndXz8RgQUTk4+Hiyiuv9Opw0dXVpTYTKywsVEtzy74fEyZMcHezyAoGCyIiPwwXBQUF8AYGgwEvvfSS2v48MDAQt9xyC8aNG+fuZtEQGCyIiPwwXMgmXZ4eLjo6OvDCCy+gpKQEwcHBuPXWW5GVleXuZtEwGCyIiPyEN4WLtrY2PP/88ygvL0doaChuu+02pKenu7tZZAMGCyIiPwwXUvjoqeGiubkZzz33HKqqqhAeHo6vf/3rSElJcXezyEYMFkREfhgurrrqKo8MF42NjSpU1NbWIjIyErfffjsSExPd3SyyA4MFEZEfGixcHD161K1tqqurw7PPPouGhgbExMTgjjvuQFxcnFvbRPZjsCAi8lNnhgtZJ8Jd4aK6ulr1VMgwSHx8vOqpiI6OdktbaGQYLIiI/JglXEyePNltPRcVFRWqULO1tRVJSUkqVMgwCHknBgsiIj9nWR5bwoUsmz2a4aK0tFRNKW1vb0dqaqoq1AwLCxuV702uwWBBREQDei5GK1wUFxfjxRdfRGdnJzIyMtQ6FSEhIS79nuR6+lH4HkRE5AVkDw4JF+Lw4cMqXFx//fXIyckZ9OtPldTh4MFSHC2sRHV1M4xGE0JCAjE2OwG5uSmYnpeh/j2YY8eO4bXXXlN7gGRnZ+OGG25QK2uS99OYzWbzaH5DKcyJiopCU1MTx9CIiDyQ9Fi89dZbKlxI2OgfLuSUsWlzPt58aycOHS5TH9PptCpUCNnKXKsBjCYzQoIDsGLFdFxz1RwkJ39ViClTW2VZcfk+8rzXXnstAgIC3PS/JWefvxksiIjoLHLSf/PNN/t2E5VwERGRgMce/wj79p+CVquByTT86UO+ToLHN79xPq5YNRtHjhxWoUUKRSdNmqRqO+T5yfMxWBARkdPCRXOLHoeOBKqeCaPRsdPG5EkJiIstg1ZjxrRp09SW7lLbQd7B1vM3f6NERDQo6UmQHoXo6DHYu1+Lrq4eh0OFOHykGgcP6ZCXN4OhwoexeJOIiKxqbTVgw6YG6eB2wrNp0NCoQ0NjNEOFD2OwICIiq/7y17VoazPA2qB5T48BJcWb0dxcguamUvT0dGDi5GuQkjrb6nO+/OpWLF40Abm5ya5rOLkNIyMREQ2qqKgKn248MmSRZnd3O06e2IC2thqER9i2A6lGAzz9zEYntpQ8CXssiIhoUO++txs6nWbIuoqgoAics+Qn6u/m5lLs2v63YZ9Xgsqu3SdRVt6AtNQYJ7eavKrH4tFHH8XcuXMRERGhtrGV4htP2WqXiIicR2Z/rNtwaNhiTa1Wr0KFvWQa6vr1h0bQQvKJYLFp0ybcd9992Lp1K9auXYvu7m5cdNFFaGtrc10LiYho1J06VQeDocdlzy8rHRzJr3DZ85OXDIWsWbNmwL9li1vpudi1axeWLl3q7LYREZGbFBZVufT5pRi0oIDBwheNqMZCFskQsbGxVr/GYDCoW/8FNoiIyLM1NbfbvLqmo1paO1323OSFs0JkOdbvf//7WLRoEaZOnTpkXYas1GW5yQ52RERE5JscDhZSa3Hw4EG1O91QHnroIdWzYbmVlJQ4+i2JiGiUREWGurS3QkSEB7v0+cmLhkK+853v4IMPPsDmzZuRnp4+5NcGBQWpGxEReY+c8UkufX5Zy2LCBNvWvSAf7rGQKl4JFW+//TY2bNiA7Oxs17WMiIjcJjMzDkFBrlvqSLZXnzSRwcIX6e0d/njllVfw7rvvqrUsKisr1celdiIkJMRVbSQiolEmW50vv2AK1nyyf9i1LEpLtqCnuxOGrt7i/LqaIzB09hb3p2eeA73+7CEPGWZZtmyKi1pPXhMsnnzySfX3eeedN+Djzz77LG6//XbntoyIiNzq8lWz8OHqfcN+XUnxZ+jsbOz7d03NIXUTSSkzzwoWMttk5owsrrrpo/T2DoUQEZF/GD8+CeefNwmbNucPWci5cPGP7HpeOZXcc9fAC1TyHdyEjIiIrLr/OxciPCxI9TI4q2jz5psWcmdTH8ZgQUREVkVFheLXD1+tai5GGi60Gg3mzM7Gbbcsclr7yPMwWBAR0ZCmTc3AY49eh8AAvdrt1FHz5o/Dr391NfR6nVPbR56FwYKIiIY1Y3oW/v2vu1TI6GVbzZ30cgQG6PDd+y7Eb351NQIDXTeFlTwDgwUREdkkOTka//f4jbjqivGIjPgqWMgwSf/1KSxDJiEhAbjyitl47t/3qL+dVadBno3RkYiI7NonytBZjJnTu7FkySUwdAXj6NEqVFU3wWg0ITQ0CGOzE5CTk4zpeRkICQl0d5NplDFYEBGRzQoKCtDa2oqwsDCce+4c6HQ6rLjE3a0iT8KhECIistmuXbvU3zNnzlShguhMDBZERGST+vp6HD9+XN2fPXu2u5tDHorBgoiI7OqtGD9+PKKjo93dHPJQDBZERDSsnp4e7N27V91nbwUNhcGCiIiGdeTIEbS3t6udrXNzc93dHPJgDBZERGTzMMisWbOg1fLUQdbx1UFEREOqqalBcXGxWvxKggXRUBgsiIjIpt4KGQKJjIx0d3PIwzFYEBGRVd3d3di3b5+6z6JNsgWDBRERWXX48GF0dnaq6aXjxo1zd3PICzBYEBGRVTt37lR/s2iTbMVXCRERDaqqqgqlpaUqUMgS3kS2YLAgIqIheysmTpyI8PBwdzeHvASDBRERnaWrqwv79+9X91m0SfZgsCAiorMcPHhQhYvY2FhkZ2e7uznkRRgsiIjI6jCI9FbIwlhEtmKwICKiAcrLy1FRUQGdTocZM2a4uznkZRgsiIho0N6KyZMnIzQ01N3NIS/DYEFERH1kMSyprxAs2iRHMFgQEVGfAwcOqGW8ExISkJmZ6e7mkBdisCAiIsVsNrNok0aMwYKIiBRZZbO6uhp6vR55eXnubg55KQYLIiIasD361KlTERIS4u7mkJdisCAiInR0dLBok5yCwYKIiLBv3z4YjUYkJSUhLS3N3c0hL8ZgQUTk5/oXbc6ZM4dFmzQiDBZERH6uuLgYdXV1CAwMxLRp09zdHPJyDBZERH6uf9FmUFCQu5tDXo7BgojIj7W1teHw4cN9wyBEI8VgQUTkx/bu3QuTyYTU1FSkpKS4uznkAxgsiIj8uGjTMgzC3gpyFgYLIiI/dfz4cTQ0NKi6iilTpri7OeQjGCyIiPyUpbdClu+WGSFEzsBgQUTkh1paWpCfn6/ucxiEnInBgojID+3Zs0fVWGRkZCAxMdHdzSEfwmBBRORnZBYIizbJVRgsiIj8TFFREZqbm9UOppMnT3Z3c8jHMFgQEfkZS2/F9OnTodfr3d0c8jEMFkREfqSpqQmFhYXqPrdHJ1dgsCAi8iO7d+9WRZtjxoxBfHy8u5tDPoh9YEREPqSz3YDj+06icPcJNFQ1AmYgIjYc42aMwdjpWSpYCBZtkqswWBAR+YDDXxbgvb9/jI3/2QJjjxEajQY6vVZyBUxGE8wmM6ABYsaFI3tpGnJzc93dZPJRDBZERF6soboJf/n20/j8rW0qSBh7TOrjMtzR020c+MVmoOFYKxqKCvCD/F/hh8/dh7Tx3HiMnIs1FkREXurg50dw56TvYcu7O9S/LaFiSNKFAaBgeyHumfYgNv7nCxe3kvwNeyyIiLzQ/s2H8eOLf616JdQwh50khBiNJjxy05/Ucyy/ZalL2kn+hz0WREReprasDj9b+SiMDoaKPvJQM/D/bv8rCnYec2YTyY8xWBAReRGpnfjDN56Cob0LJiuhwmQ2otC8H5vNH2CD+S1sN69HnbnK6nNKoedjt/4FXYZuF7ac/AWDBRGRF9n+0W7sWL1HzfSw5hB24hQKkYJM5GIGNNBgLz5Ho7l20K+X5yo9WoEPnvzEhS0nf8FgQUTkRd55YjW0OuuH7iZzPapQgvGYihxNHtI1YzEL5yIYoSjEfquPM8OMt5/4SG1QRjSqwWLz5s1YuXIlUlNTVffZO++8M6IGEBGR7bUVO9fuG7K3ohqlqociDWP7PqbT6JCKbDShHp3m9sEfaAYqT1TjwGdHXNF08iN2B4u2tja1cc3f/vY317SIiIgGdWRrYd90UWta0IhQhEOvCRjw8SjE9H3eGukJObzlqHMaS37L7ummK1asUDciIhpdR3cdh06vUytrWmNAJwIRfNbHAxHS9/mhCkOP7uLsEPLwdSwMBoO6WTQ3N7v6WxIR+aS68np18h+KCUZooTvr49rTHdTyeWtk6mp1cY0TWkr+zOXFm48++iiioqL6bhkZGa7+lkREPmmo2goLCRWDhQcTeh87WOjoTxbNIvLoYPHQQw+hqamp71ZSUuLqb0lE5JNCI0Oh0WqG/JogBKNrkOGOLnT0fX4o4dFhI2wl+TuXD4UEBQWpGxERjczYvKwh6ytEBKLRgBr0mLsHFHDKjBDL563RBegwfma2E1tM/ojrWBAReYmc2WOHnRWSiDS1JkUZjg9YibMcxYhELII1oVYfK0uE58r3IBrNHovW1lYUFRX1/fvEiRPYu3cvYmNjkZmZOZK2EBHREMbPHIOEjDjUlNRZ/ZooTRwSzekowkF0mQ0IQTgqUIxOtGEyZg/5/AFBesz72iwXtJz8id09Fjt37sTMmTPVTTz44IPq/s9//nNXtI+IiE7T6XS4/L4Vw9ZZTMFcZCIHFTiFo9gLM0yYgUWI0SRYf269Vu1wyhoLGimNebi5S04m001ldogUckZGRo7mtyYi8notDa24Y8L9aK5vHdnOpmfQB+jw9IE/ID031WnPSb7F1vM3ayyIiLxIREw4HvzXvU4NFeLOR25iqCCnYLAgIvIy56yaiyvv/5pTnkur1WDuipm46oFLnfJ8RAwWRERe6Ft/+Dou++aFI3oOjQaYtTwPv3jjf1T9BpEzMFgQEXkhrVaL+/9+Dx546psICg2CVm/74Vw2G5Pbrb+4Dr9+/8cICuFaQ+Q8DBZERF5Ko9Hga/csx78P/xEX3rIU+kC9+pjM8Bg0TGg16vMLLpuNv+98DLf+/FroA1y+TiL5Gc4KISLyEc31Ldj0+pco2F6Ew1uPoqmmGWaTCeEx4Zg4bzxy54zD0msXIjEj3t1NJS9k6/mbwYKIiIiGxemmRERENOoYLIiIiMhpRr1qxzLyIl0qRERE5B0s5+3hKihGPVi0tLSovzMyMkb7WxMREZETzuNSa+ExxZsmkwnl5eWIiIhQ056IiIjI80lckFCRmpqq1lHxmGBBREREvovFm0REROQ0DBZERETkNAwWRERE5DQMFkREROQ0DBZERETkNAwWRERE5DQMFkRERARn+f8BQ0is7rwIirAAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "computeMapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice where the labels for the graph start" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", - "graph.draw()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "computeMapper accepts any function recognizable by numpy as input" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import make_swiss_roll\n", - "number_of_points = 300\n", - "\n", - "data, labels = make_swiss_roll(n_samples=number_of_points, noise=0.1, random_state=0)\n", - "\n", - "val = 0\n", - "pointcloud = []\n", - "while val < number_of_points:\n", - " pointcloud.append((data[val][0],data[val][2]))\n", - " val += 1" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.scatter(data[:, 0], data[:, 2], c=labels)\n", - "plt.axis('scaled');" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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z8IQbuthQhVMVecisLkJtcwOMBg9E+IUiJTgKiYER8PQwOvoQdauisRanK/ORXlWAquZ6eMCAcJ9ApARHY2hQJHyMXo4+RCIi3TIYDGqp5tu0ffgyIw2HfEtQ3lgD6a0J9vLDsKAoDAuJQqCnb58el9sEI42tzfii4CjeO7cHJyvbNgryMBjUm6FoNrXtZOhv9MbNMZNwe9xkxAf0d+gx60WLqRVfF5/Ce+f2Yn9pW9GU/Nw9DJKYM6m/lxeCl4cRCwaNxdK4KRgeEu3owyYi0hWTyYTD5efwWXAevpvYCJPhKAwnj8FoaHsfbDWZIGdjAwyYMWAYlsZPxTX9hlw6V9uXweRszcadqKysREhICCoqKtQUue46VJaN3x1Zj/y6MvUm2PbWZ55kSuSXsmzwDPx46FxerfdCZlURfntkHc5UFVj9s5fgZFHUOPwi5SYEefn12bESEel5ReDZ4xuxq/hk+3nWEu0+48IS8JtRdyDaP9yu79+6Dkbkn/Zq5pd4JWO7VW+EV5LoMMY/HH+Z+ECPfxHubGPuPvyfE5vUx1098a8kv68Qb3+8MOF+ZkmIiHrhQMlZPHXwTdS1NHX7XCxBiafBA0+P/gFmR6ba7f1btwWsEoj89cxWFYiI7gYi6jFgUtmUh779f8ivLbPDUerX+znf4n+Ob1BP/O4++bXfl9SX/Pj7V3Cyom1ZjYiIuuf7kgz8dP9q1DQ39uhcLF8jZQ4rDr2LbQVHYC+6DUY+yUvDW1m7e/048osob6rFkwfWqF8IdW1fSSb+eOKjXj+OBCQNLU14Yv8/UN7ofLtMEhE5s8K6cvwy7U20mOTSuueLIG1facJvZMm9Mh/2oMsC1qL6Cvzp5McW71OfV4q8N3ah6vh5tFTXwXtAMMKvG4nI2yfD6Ot1VUByruYCXsv4Eo8mz7Pz0bu2muYGVZ/T1bJYTUYh8t/arX7+pqZm+ESGYsCNYxFxy6TL7iePUdlUh+dPfoxnxtzZB/8CIiJ9rA78/ugHaGpt6TQQOfv8ZpR8cdTs149583F49w/65+N1CEjemvZTm3ed6jIYefHMZxazGA0XKnHiyddh9PdBxM0TYAz0Rc2pPPXmWJtRiKTf3nHV18gv4vWzO7EkdhIG+YXZ+V/gut7O2o2ShiqLgUjFgbNI/9378B8Sgah7psPo6436gjI0Xqzq9P7yWJ8VHFZdNqPD4u149ERE+rCj+ER792JnBi4ci+BxbaPh25lMOPfXz+AdEXJZIKKRDEtWdTE2nt+HO+Km2PR4dReMSL/0ZwVHLK6NlWw/hpbqeqQ8dy/84ge0fXLhOJhaTervmqvq4BnUeRfHhtx9+AmzI51qam1WtSKWApGWmgYVkYdcMwRD//M2GDzaWsqsKaJal7OXwQgRkRXWndtjMUMdmBKjbh1VHctFa0MT+l0/0uzjyqOtzd6D22Mnq5klTlEz8uyzz6qDefLJJy3eb/369Rg+fDh8fX0xatQobNmyBfayNf+Qasu1pKW2Qf3fMzTgss97hQfK8BEYvDpPP8kvdUPu90639bKz2HPhjKqvsaRkx3E0l9Ug5r5ZKhBpqW9UQWBXJLjcXngM1U31NjxiIiL9ya8tw4HSrG43bsj5WUZv9bt+hMX75dRexNHyXNhSj4ORffv24aWXXsLo0aMt3m/Pnj24++678eCDD+LgwYNYsmSJuh07dgz2cKQ859IYM/OCR8ep/2f/3y2ozSxSyzYlO0/gwicHEXHzRLVsYE5FU63qsKHOf/bSAmZJ5cFstTzWWFKFow+9hLRbn0fa7c8j+69b0drY3GVAog2sIyKizh0tz0F3tTa3oGz3KZUt8YkItXhfybj05HtYfsweqK6uxrJly/DKK6+oGfeWvPDCC1iwYAGeeuoppKSk4JlnnsH48eOxatUq2IP8gLqKBkMmDkH08mtReTALxx9fjSPL/4azz27CwJsnIO7Hc7v8HnxD7NyJitz2Sbbm1OeXwdTSioynP0DwhMEY8uvb0H/eaFzYchBZ/7u5yxcA23yJiCw7VZnX5YXhlSoPnEVzZZ3FJRqNrIicrDwPhwcjjz32GBYtWoS5c7t+4967d+9V95s/f776vDkNDQ1qUErHm7VKG6qtup8U6ASmxiLhZze2vyEWvLcHRR/t7/IN8UK99cfjTgrrKrq8T2tdY9ua5JxUxD86D+HTh6n/D1g4DqU7T6ouJ3NkJPHFBv7siYgskfeorsoVrlSy4wQMnh4Iv3Z4l/eVLHWRFed7uxawrl27FmlpaWqZxhqFhYWIiIi47HPyZ/m8OStXrsTTTz+NnrBmjUx+6Of+8ilGvfJj1dIr5E1RKonPr96BfteNgGewv/nv0YPBMe7Amp+Lh0/bU05+xh3JnyU7Un0yD77R5qbdtu1jQ0RE5rV0s1qkpa4R5XvTETw+0eJ732VfY+NzcbcyI7m5uXjiiSfw9ttvq2JUe1mxYoUaHavd5Ptay89ovt5DU/xJmmor1QIRTejkJHXVXpNZZPZr5Vcc0Me7GbqKQK+ufy6qSFii4LDLi4e1YuLmassFqgGePr06RiIivQv09FUbwVqrbO+ZLrtorhRkxfnebsHIgQMHUFxcrGo+PD091W3nzp34y1/+oj5uaWm56msiIyNRVHT5m7v8WT5vjo+Pj5ph3/FmraQg84+rkW4OU8vVcaPUMija/3vxPdzR8OBo1YJriX/SIPX/pitmijSVtP3ZK8R8VC71KElBbV9PRESdGxoU2a1lmtKvjsPDzxuhU5Ksur+c55ODouCwYGTOnDk4evQoDh061H6bOHGiKmaVj43Gq1tip06diu3b2/aH0Wzbtk193h5GhsZ2+YboEx2uumjqz5dctXwjrb1+gwdarBmRXzRdLSUkusulmvCZbeuRFz47fNnn5c8GoweCLnU6WQp4iIjIvJTgaKvHvzeV16oux7BpyVdNH7e0RDM8JMpxNSNBQUFITb18176AgAD069ev/fPLly9HdHS0qvsQsqwza9YsPP/886roVWpO9u/fj5dffhn2MCcitcs9aQbdMRkV+zNx8qm3ELF4AjyD/VD+XQYq9p9F/wVj4N3v6slzQoKc6QOGwcdo3S/M3Vw7MAXPnfjY4osgYGikKha++PkRNV8keFQsKo/kqJayQXdONfuzl4RjYmCE2kWZiIjMGxESg37egShp7Lqho3TXCbUq0J0lGh8PL0zpnwyn3igvJycHBQUF7X+eNm0a3nnnHRV8jBkzBu+//z42btx4VVBjy1+CpPINFqaNBI2KQ8r/LldvjMWb05Dz0hdoKChH9H2zkPD4AovRoIwkp84N9A1RAUlXman4ny5A1L0zUHMqX/3sJUsV+y9zEHP/dWa/RsKbO+On2XTiHxGRHnl6GHFH/BSVye9KyVfH4Rnqj+CxV4yGN0PO74tjxtu8fs9gcoFxotLaGxISoopZrakf2VV8Uu1UaEvyCxgWHIXVUx5RLabUuVMVebh/79+7PfnPEnlBDfANxvqZP4evFQXKRETurryxFnfseh5VzXU2PBsDXh5GrJvxc0RbmaW29v1bl++qcnU+b9Boq6JCa8ljPT1qKQORLgwPicbyxFkWM1PdJYHN70YtZSBCRGSlUG9/rEhdYtNARPws+UarA5Hu0O0761MpN6sfWFdLBtb6j5FLEB94aVM9suihobMxOjTOZsHgQ0NmY0K/RJs8FhGRu5gTOQq3xV5jk8eSC0y50F8ab59SBd0GIyHe/vh/1zyMaL/wHr8pal/3byNuxuKYCTY+Qv3y9vDEnyfeh1GhcT3OkGhftXzwtXh46BybHh8Rkbt4St6/osf3+nGkeeMPY+6y2+qALmtGOqpqqsOfT32CzXlpFrdTvpLcN9wnEL8ZdQem9Leu95ou19DShJcztuOtrF2qAtVkZVxiMAG+Ri+sSL0VC6LG2vswiYh0zWQy4YPc7/DCqS1qXpO101O1lYV/GToXPxw8UxXG2uv9W/fBiGbvhTN4NfNLtZGeTKaTf/WVLaiysZD8ojybgdEN4XjulsfVJDvqnbTiTPzmqzUoDm5pnwp4ZVAoT3qZUWI0eSCqGLge8fjJ8ofYPUNEZCN5taV46cw2fJZ/WF0cyvm483OxSWWnZVnmx0lzMaQXs7Wsff/u9t40rmrqgGR1y6gqxM6iE2rn3dOV+ahtblA//Ai/UIwKjUWSz0AceudzeLTWoHZmJQIHMhjprebsEkw65QmfyP6IumGs2nn3RGUeaprr2zNQsqSTGhqHa/zj8drfX8LFlnxkZWUhMZG1IkREtiB1lHd6paLl4EmUx/hg4LihOFx6DkVVpWptfGBQOFJDY9WIjDmRqWpcQ19xm2BEI9NTu5qg2jQsFydPnsR3332HxYsX99mx6ZEk3rRNFa8fOwWTEyd3+TUy1Vd+9l999RUGDx7M7AgRkY0cO3YM3s0G3Bo9CXNHz0VpaSn++te/wtvbGytW/BKOotsC1t6YPLntDfPIkSOoq6tz9OG4tOzsbFy8eBFeXl5q6J01ZsyYofY6On/+PDIzM+1+jERE7qC+vh7p6enq41GjRqn/a5Uajr7oYzDSibi4OLWRX3NzM9LS0hx9OC5Ny4qMHj3a6p2eAwMDVXZE7Nixo/3FQkREPScZf9nQdsCAARg4sG0PttbWtmJWDw/HhgMMRjohEeI111zT/maq/bKo+4VLp06dUh9rP09rTZ8+XWVT8vLy2iN5IiLq3RKNkO1YtEwIMyNOTlJY/v7+qgL49OnTjj4clyQbIsoTPT4+vj0Kt5ZkRyZNmqQ+ZnaEiKh3qqurVVOA6Lg3HDMjTk5qFiZMaBt0JsWU1D2SCtSWuLSgorskOyJFVbLx4pkzZ2x8hERE7uPEiRPqoi4qKgrh4f8c587MiAuQugX5BZ07dw6FhYWOPhyXe+LX1NQgKCgIw4cP79FjSGZKW96RzhpmR4iIer9E0xGDERcgA1pGjBihPmZ2pGeFq+PHj4fR2P2pfZpp06ap7EhRUVF7/QkREVmvvLwcubm5nQYjXKZxsTbfo0ePqit96ppkkeSJL09ubamrp/z8/DBlStvGTKwdISLqeVYkISFBZas7YmbERcTExKg1to41EGRdViQlJeWqJ35PSDDi4+OD4uJitfxDRES9X6IRzIy4aJuvBCVkngyJk2FxvSlc7Sw7MnXqVPXxzp072WpNRGSlCxcuqGVuCTa0soOOmBlxISNHjkRAQACqqqpYt9CFQ4cOqWFx0sorw+NsuVwmQ9PkhXX8+HGbPS4RkZ4dPXpU/X/o0KHqws5cMMLMiIu0+WoTQVnIap48qWW2iJYVsWWkLYEIsyNERN07J1taohHauZSZERchhZgSOUphZn5+vqMPxynJPjKy6ZLUd8j4d1uT7IhE9iUlJe3RPhERdU7eq8rKytQF9bBhwzq9D5dpXIwUYspyjfj+++8dfThOXbgqG+JJO66tSZAjrb5i165dzI4QEVmgZUUkEDF3TmYBqwu3+covWEbr0uV97NqUVFsVrnZGiollGJpkYLRCWSIiujrI0OrrzC3RCGZGXFB0dLRq9ZWOmgMHDjj6cJyKViuSmJiI/v372+37SHQvY+K12hF2NxERXS0nJ0c1XUi9nRSvmsPMiIvS2nzlzZdvhG2ke6a3+9B0h3wP6W6SbMzhw4ft/v2IiFzN0Ut1dbIdh9SMmMPMiIuSPm3ZUVaWaTiAC+3LVjJfJCQkBMnJyXb/fl5eXpgxY0Z77QiDQiKif5Jz4smTJ9t3oLeEwYiLkn1WtKt/tvleXriqdRz1BfleEhRWVFTg4MGDffI9iYhcpbOxrq5OZZBlBLwlXKZxYfJGKEFJXl4ezp8/D3cmPwNpH5Ofh2yK11ckOzJz5kz18e7du9VSERERob2LRjpAuwoymBlxYRJtatXJ7t7mq2VFtCm1fUmCH2m5rqys5L5BREQAmpqa2ieFd7VEI5gZ0Umbr7ROScWyO6qtrW2PwPuicPVKUpSlZUe+/vpr9SIkInJnp0+fVufC0NBQ1QHaFWZGXNygQYPU3isSVWptre5GajWkUEp+FtY86e1h3LhxqnBWAkK2WxORuzvWYfy7NQEGgxGdtfm6W82CBGHaEo2t96HpDmZHiIja1NfXIyMjo8tBZx1xmUYHpH87ODhYLVe4206y6enpqpNF9oqx9klvL2PHjlUpyZqaGrfNUhERnTx5UmWrBwwYgIiICKu+hpkRHbb5ar9Ud6BlRSQQkM4WR/8err322vbsSGNjo0OPh4jIEY51sUNvZ5gZ0Qnp6JClgoKCArWjrzuQXXOlj91RhaudkV2Cw8LCVJZKC5SIiNxFdXU1srKyuh2MMDOiE7Jpm9Y+5S5tvtpSSFJSkgoAnIFkR2bNmqU+/uabb9DQ0ODoQyIi6jPHjx9XgYU0E4SHh3c7GGFmREdtvjIeXuoo9EwKRA8dOuRUWRGNBIX9+vVTkwfdJTAkIurpEk3HZRpmRnRACoVk5K5EmHovoJTNl6RiWzIilnaCdASJ7LXakT179jA7QkRuoby8vH0auAyg7A4u0+i0zVdmXei1vVSetFrGYeLEiQ5/8nZGrgr69++vAqZvv/3W0YdDRNRnWZGEhAQ1lbo7mBnRmWHDhqnhW7JEoD0x9EYKdIuKilTBrgwbc0aSHdFqR/bu3auCEiIiPTvWwyUawZoRnZFfpJYd0Wubr9alIk94mS/irCRNKX32skwjAQkRkV5duHBBXSTKe9CIESO6/fXMjOiQZAtk5oY8Mc6dOwe9tY1Jga7Qgi5nJS+q6667Tn0sSzWSrSIi0msdn5Aavp5cJDIzokPyRJB5F0Jv3RyyK65E0DExMWovGmeXkpKiCotlABqzI0SkRyaTqVdLNNpjCGZGdEbLGsgWzlLhrAcShGib0DlbO6812RFZNpNhaEREepKfn4+ysjKVkZe6xZ7gMo1ODRw4EImJiSra1MskUNmSurKyUg1468mapKPIizMyMlJlR6TVl4hIj0s0w4YNg7e3d48eg8s0bpAdkaUNPeyToi05aaPvXYVE+tdff337v0E20iMi0oPW1tb2DVp7s1mpS2ZGXnzxRVUTITvVym3q1Kn49NNPzd5/zZo16h/Y8ebr6wu908akS1upFrm6cqV2dna2+t3JbBFX/F1ERUWp2S8yJp6ISA/OnTunGgvkPXXIkCE9fhyXzIxI8eKzzz6r6gdk0ujs2bNxyy23tEdnnZGgRTaR02566zLRe5uvttSkzVFxNR1rR+TfIi9eIiJXd+xS4aoU6/cmY+2SBayLFy/GwoUL1dVmcnIy/vCHPyAwMNDipEv5B8q6vXaTDgd3MHbsWFVUJJkFbSdFVyNzOg4fPuxShaudkZY3CaSbm5vx9ddfO/pwiIh6paWlpX3UQm+WaFx2mebKH8batWvVOrws15gjV6Lx8fGIjY3tMovS8U1QCiY73lyNpM4kIHHlNt8jR46omhfZfG7w4MFwVR2zI5LRq6qqcvQhERH1WGZmpioDkGSAjIDvDZdcphFSAyE/AB8fHzzyyCPYsGGD2Q4LSe2vXr0amzZtwltvvaUisGnTprVv6GPOypUr1ZKAdpNAxhVpSzXSjVJaWgpX0rEbSLIijo6ae0s6nOLi4lQQvXv3bkcfDhFRr5doRowY0esgwmUzIxJgyBbyUgvx6KOP4r777mtPF11JMibLly9XGQLZL+TDDz9UY7pfeukli99jxYoVqKioaL/JniiuSDZs03a2dbU2X6ntkSUmWWoaM2YMXF3H7Ih0OcnziojI1TQ1Nak5VmLUqFG9fjyXzYxIL7O8wU6YMEFlMOSN6oUXXrDqa+WNTUamZ2RkWLyfZF20jh3t5qq07MjBgwddqs1XW1qS7im9dEBJOlOWDCU7wtoRInJFp0+fVgFJaGgooqOje/14LlnAai7FIzUe1pA3AVnmcYVx4rYigZvUXHQsBnV2UqOjRd6uXLjaVXZELxNyich9HOsw/t0WAYRLBiOyfLJr1y41d0KCCvnzjh07sGzZMvX3siQjn9P8/ve/x+eff46zZ8+qk/+9996r0v8PPfQQ3IX8gl2tzVdat+U4JYugt+4nyY5IMa4E0awdISJXUldXh/T0dJst0XSsGXGpZZri4mIVcEjdyJw5c1QdxGeffYYbbrhB/X1OTo6aJaKRmfkPP/yw6oOWlmC54pax3K40UtwWZClLlrdKSkpUFbQzk+yVq+1D011adkRqn+Q5SkTkCk6ePKmCB9l2RG624CyZkW5NSnnttdcs/r1kSTr685//rG7uTmpgpFZGMiNSi6EVtTrrk13ataVjavjw4dAj6aqRiYUSGEqmT1rOiYic3bFe7tCrm8wI9Zy2VCMpNsmQOCut60cKlI1GI/RKy45IHY+rtV0Tkfuprq5WJRK2DkacJTPCYKSPhIeHq6m1zjwErbCwUC21SYQswYieyURWmSQsL0TJjhARObPjx4+r85V00MjeZ7bCYMSNsyNSq2BtB5IjsiKyPBMUFAS907IjMmn24sWLjj4cIqI+XaIRXKZxQzIFVAahybwRCUicSccdhrWgSe9kN1/JVjE7QkTOrKysTE0ul+zFyJEjbfrYzIy4oY5tvrJU40xtvhIcySAdqdCWAk93oWVHJBCTibNERM6aFUlISLB51pqZETclbb7SXSNFk1q/uKPpbR+a7pABfFrX0M6dOx19OEREfbZEI5gZcVMyb2T8+PFOVcgqQ+kkOJIgSca/uxstOyIFYkVFRY4+HCKiy+Z7yU0yFzKzy9Zcdm8a6j0t+yBzLpxhaUDLimjD2dyNTJnVBvExO0JEzpgVGTp0KPz8/Gz++C67ay/1nrRlyRRbZ8iOyP4sZ86c0fXEVWvIrtLa0DdpcSYicjSTyWTXJRrtewgGI25KK2SVoVvSyeIo+/fvV09G2a9FOn3clRTuai92ZkeIyBnk5+erThrZ8V67gLU1FrC6OamKljdA6WA5ePCgQ46hublZbWDoTu28XWVH5OpAdiyWkwARkSMdvTRuQQIRey2hMzPi5q5s89Wi074kBZuyC2RwcHD7dFh3JpkhbSdMZkeIyJFaW1vVOdqeSzTa9xHMjLgx6VyRgqSOdRuOKFydOHGiw5+IzuLaa69VgaL8PvLy8hx9OETkps6dO6f2o/H19bXr5qrMjJBaB3RUm68sQ8ibrWyGpx0DAf369Wtvb75yF2oior5eoklJSbHrpqUMRuiyNt+srKw+nXGhZUWkpTUgIKDPvq8rZUcyMjKQm5vr6MMhIjfT0tKiOvuEtnRsL1ymISUkJKR9kE1fZUdqa2vbo253bue1tMPy2LFj1cfMjhBRX8vIyFBdloGBgYiPj7fr92JmhNpphayye6wECvYm3TsSeUdGRiImJsbu389VsyNypSDTaWXtloiorxy7NFtENsWzd8aCmRFqJxvTSWAgrbb2bvOVJ57MFtGCIEdHw84qNDSU2REi6nONjY04ffq03btoNMyMkEPafCX9J907UqHdF090PWRHsrOz1Y2IyN7OnDmj5k/JpO7o6Gi7fz8GI3QZKVLy9/dHZWWlGrpl78LVcePGqW4eslzPo3UaSXZEe9ESEfXFEo2hDwIELtPQZTw9PTFhwgS7FrLKzrySGdFmi1DXZs6cqdrqpG5EOp6IiOylrq4O6enpfdJFo2FmhK6iDR+TNz57bNamZUVkgI50jFDXZDqtFiQyO0JE9nTy5EmVqZCtQuTWF5gZoU7f+LSt7L/77jubPrasQR46dEh9zHbe7pkxY4bKXMnMkczMTEcfDhHp1DE779DbGWZGqFNaIavMAampqbHZ48rjSd+6dInYc7SwHgUFBbUvazE7QkT2UFVV1b4U7IhghJkRuozM/YiKilJzQLQddW3xZNOWaCQr4ugnnSuaPn26yo7ICH2t7oaIyFaOX9oUT94DpJOmr2jLNMyMkNk2XwkgJCjprfPnz6saFHkzlS4a6j6ZhKj9Xr766itmR4jI5ZdoBJdpyCxp6ZL9YiRtp+1P0BtaVkSe5LJLMPXMtGnTVDt0QUGBQ3ZZJiJ9KisrU1lXCQjk/N+XWMBKZkkGQ6tR6G2br2xBraX/WLjaOxIgMjtCRPbKiiQkJKgsbF9iZoSsavOVDo78/PweP47UnUjkK5P8pBaFep8d8fb2Vjss23M4HRG5j2MOXKJhAStZJNGx9sTsaZuvBCEHDhxQHzMrYhsyJXfy5MnqY3bWEFFvFRcXq5sEA9oO7o7AzAiZpS0JSNQsyy3dJZstyXh5eQPt63VIPZs6dSp8fHzUCeTEiROOPhwicmEydkEkJSX1eU1fx33QGIyQWbK0Im1eHTMcPSlclf1VpA6FbENOGFOmTFEf79y5064bGxKRfklmVavpS3XAxqUdM7tcpiGrsiP79+/vVpvvhQsX1AAdiXa5D43tSTAiOx/Lz1k7mRARdYd00EgnjZeXF5KTk/v8+zMzQlaT8fAyAbRjV0x3siLyBJfdZ8m2JBCR5RrB7AgR9aZwddiwYaowvq8xM0JWkx1ju9vm29DQgMOHD6uPWbhqP1LIKks2JSUl7ScVIiJryAWMI5doBDMj1C2ya6wEJZLSk2mqXTly5AgaGxvRr18/JCYm9skxuiMpYmV2hIh6Ijs7W2W8Jcs61EH7hXXMjDg6GGFVo4sM2xo1apTadVfafMP6D8Sp3GKczi1GeXU95DkUGuCHYbEDMCxmQPsSjWRUHP0Ec4eanm+//RalpaUqCBwzZgyKy6txMqcYmfklqGtsgqfRAzH9Q5ASNxAJkeEwcm8gIrcgr/8z5y/gVE4xSqtqIe/9wf4+GBY7EFnHDrcvxRuNxj49rrLqOpzMKcLxs/k4WeUDeZfY8M0xdY4aGtUf3l59HxowGHERstyy7bujWP31Wazc/ne0mkwq0DB6tAUbLa2t6onuYTAgwrsRScE+6o2R7J8dkUFoWz//Ai9v3IGiTYeRVViq/k5+N1ow2NzSljUJCfDF7TNH4/aZozAoPNihx05E9nHkbAHW7TyMzw+cVq99OQ1oFyGtrSZ1/gZMGOjth5F+/dXnPC6dy+2lqaUFOw9n4t2vDuFgRp76nLxfmExttSp/eGe7+r+PlxE3TRmBpdeOQXLMAPQVg8kFpjbJrAwpwqyoqEBwsPudwAtKK/H0m9vw/akcGGCCScWx5mn3mT4yAf917w0YGNq344XdzY6DZ/Cr1zajvkV+9vLTt0xOABKkPHLTVNw3b6LKnBCR6yurqsXKtV/ii7R0dTHS0mqy6lw9evAg/P7+BYgbGGqX45JM+q//8SnOFpSq809bMGSeduxy0fTkbdciwNfb7u/fDEac3K6jZ/Efr36CpuaWLp/YnT2hfLw88cd/uQnTRiTY7RjdlWSjnlu3A+/tPKzCw568kFJiB+Kvj9+K8GB/OxwhEfWVQ5l5ePLvm1BT39ijc7WHhweeXj4PCyYNt+lxrf3qIJ5bv1NlZ7p7XBK49A8JwN9+eiuGRPW36/s3L8mc2I7DmfjFix+hobG5208iIV8ja5ZP/G0jvjmWZZdjdFeSVv3dG5+rQET0NKI/k3cBDzz3nrqiIiLXlJZ+Ho/83w9QXdf9QES0tJrUBeevVn+Kzd/Zbqrz65/vxx/X7VCZkJ4cl3zdxcoaPPDcOmTmX4Q9MRhxUmcLSvDvr2xu28ioF48jeS95Qv3rSx8jp7jchkfo3l7ftg+ffHey148jJ4j8kgr1+5EAh4hcy4Xyajzx902qNqSr5Q9r/O71z3Esu9AmWfUXNuzu9ePIeamuoRGP/XUDqusaYC8sYHVC8qT+rzVb1RO7s6d2TXEOSk/vQ3V+BhqrymD09UfAwHgMuuZG+IYOvOr+8vqQJYXfvr4Vr/3rnXYvlNI7uUL4+0d7zf59XWkhCvd/htoLuWiqq4KHpzd8wyIQMeZ6hCSM7DQgOZSZj3W7DuOu68ba+eiJyFbkYvH3b21DfWOT1YFI4YFtKNj3KXzDIpFy579d9fcGA/Bf/9iKtb++Vy2z90RlTT2efuNzyKm+s2ucqrwMZHz8906/NvnWnyEgIuGqc9TFihq88OFu/OeyubAHZkackFxxS2uoubRa8aEvUZ51BEHRSYievgT9U6aiuuAsTr//v6grLej0a+SxDp8twGf7T9v56PXvT+t3WFyYaawqRUtTPcKHTULMtCWIHH+D+vzZra/h4gnzQYy80KvseOVBRLa153g2vjmebfUSSGN1OYoOblcXKOa0tJqQc6EM6y8tAffEq59+h4ra+k4DkY4GpM5E/Ox7Lrv5BHdeGyLB1gdfH1WtyvbAzIgTRtrvfJmmomNzgfaA0bMQP+deeBj/+esLHTIWp9b/ST3RE+bca7YY6d2vDuLGa2xbIOVOzhWV4ftTuRbvExI/Qt06GpA6A6c/+F8UH9mJ/iPaBqVdqbGpGZ98ewJ3XT/OpsdMRPbx7o5DVnXNaPL2fgT/iHhZ+0BzfY3Z+5lMUOfqe2aP73YmW+oEP/z6qFXLvgGDEhE2xPoREPJvlZblX9shO9KtzMiLL76I0aNHq4pYucn0yU8//dTi16xfvx7Dhw9XU+ZkcNeWLVt6e8y6lp53Ud0sZfwCIwdfFogI39ABKu1XX1Zs9uskspW1SKlHoZ75aO/x9tku3WHw8IBXYChaGuos3u/9XUd6cXRE1Je1Inu7kRWpzs9E+dkjiJl2i1X3LyitwoH0riduX+mrQxmobWiy+v4tjfUwtVq3Cav8Wzd/ewINTc1waDAi29k/++yzajt72UV29uzZuOWWW8xu4LZnzx7cfffdePDBB3Hw4EEsWbJE3biPh3mHM/O7mCJiPqPSXFcFT9+ALu97JKvzpRzqWlpGntUnn5amBjTXVaOh4iKKD+9EZc4ptbRmjjyqDEyT1kAicm5Hswutbi4wtbYi95sP0S9lMvz6RVn1NR4eBjU8rbsOZxZYPbsoZ8daHFn9Kxx65d+R/tHfUFtsOesrGptb1AWzQ4ORxYsXY+HChUhKSlK7wf7hD39AYGCgGofdmRdeeAELFizAU089hZSUFDzzzDMYP348Vq1aZavj150TOUU92j2xLP0AmmoqEDbUcgGkPElPnjOfPSHzJO0pI/itJSnZo6//Bife/R/kffsRQgePQszM2yx+jenSgCIicm4nzhVZvbXDxRN70FRVhkGTbrT+G5ja3g+661h2QfvEZ3MMRiNCE0cjZvoSJC74kWp+kML7M5v+itqLlrMxhkv/dqepGWlpaVFLMDU1Ne2bhV1p7969+MUvfnHZ5+bPn4+NGzd2ueus3DoOTXEXsq+JdL50R31ZEXK//lBVQIcnW96lV56kFyqqe3mU7qmmoRH1jdanJweOuhahiWNUkFieeRgmUytMLV2nQy+Wm19LJiLn0HYe7To3IrUhBfu2ImLCPHj5WT8Nu9VkQmFp99/7isq6Pr/LUr/cNCEJqQhLHI2T659D/nefYOiiH5v9WqPRQy1R2Vq3L8GPHj2qsiGyJ8cjjzyCDRs2qI1+OlNYWIiIiIjLPid/ls9bsnLlSjWxTbvFxsbCXbR0EdFeqam2Epmfvgqjty8Gz7tP1SbY+ntQm+7OAZF23uCYZPQbNglDFj6E1qYGnP301ct2yuxMi4m/HyK9nA8Kvv8Unj7+qoi9u1p6OKisJ3xCBqigpDovQy0r2eN72DQYGTZsWPvusY8++ijuu+8+nDhhu4lxYsWKFWp0rHbLze16HUsvgvx9VNeLNaQYMvOTV9T/hyz8F3gFhFi1Dhno52ODI3U/ft6eqsuppyRLIrNHGiost8YF+PR8Hwgi6huyX0tXu6LXl1/AxZN7MWDUTDTVVKKhslTdWluaVNGofGypqyaoB+fqwF7sI+MdEKqOq7XZfN2aXEz52+Ec1e1lGm9vbwwdOlR9PGHCBLVdvdSGvPTSS1fdNzIyEkVFl68tyZ/l85ZI1kVu7igpeoAaA99V9q+1uQmZW19Tb2xDb3oEfuGWf6btTEBSTM/2GHB3sq127IDQHk+yld+Z6KqjJqkPd8okop5Jiu7fZW2GLNFKa+T5bzYAcrvCiXf+WwUqMdNv7bS+b3jc1UMsu5ISNxD5JZU9yl40VpXAYPSEh5flOSjJdngP6fWckdbW1svqOzqSWpLt27fjySefbP/ctm3bzNaYEDAiPqLL1Jyk0LK/eAM1RdlInP8jBERavwmePEFT4i5fOiPrjRo8CHkXKyz+jmTqqpdf0GWfk1qR0jP7YfD0gq+FwFGuhAaFX/61ROSc5+quyEXi4PkPdLp0I912UkDqE9yv06+VQEcCi+5KiY/A9oMZFu/TVFd9Vf1K7cU8VGQfR3DccBgMlhdN7PEe4tnd5ZMbb7wRcXFxqKqqwjvvvIMdO3bgs88+U3+/fPlyREdHq5oP8cQTT2DWrFl4/vnnsWjRIqxdu1a1BL/88ss2/4foxcTkWJX+s9Tembd3U9uTJn4kWhpq1ZtcR+HJE81+bUiAL8YNsa61jK42d1xSl3vS5O5cr040gYMS1dJZc20VStMPoKG8GNFTb4bRq/Osn8wvmT9xWJepXyJyvGExAxEZFoTCsiqz9/H0C1RddFe6cGSX+n9nf6fx8jRixsh/Fplaa/bYJPxlw9cW75O97Q14eHqppgc5RmmCKDn5rfpc1OSbzH6dlBCkJkSqnXwdGowUFxergKOgoEAVlsoANAlEbrihbdx1Tk7OZW2p06ZNUwHLr3/9a/zqV79SLcHSSZOammrzf4he+Hp74rYZo9QUVnNX33UX89X/K88dV7crmQtGpF7k9pmj1XID9cyMUYMxICQAFyrMr/OGDR2HkpPf4eLxPWhuqFHBh3//WERPuUkViJkjv+87rh1tpyMnIluS8+ld149Vm9HZup7T6GHAwknDERzg2+2vjRsYisnD47DvTK7ZItuQwakoS09TE6Fl6wpP30CEDB6FQRPnqUJWS5l1+Tfbg8HUVWm/E5DWXgl+pJhVJr/qXVFZFW793ZputZF2Ra61/Xy8sPHpB+wS1bqTD3YfwR/e2W7zk8+M1MH486PWTWckIserqq3Hkt+uQXlNnU0DEk+jB9b9+odIiAzv0dcfyszDj55bZ/NzVEz/UKz7rx+qrI2t37+5UZ4TiggLwi+XXmfTx5TXyX/cPZuBiA1I5mpickyPxsJ3zgRPDwNW3DXbRo9HRH0hyN8XP1000eaZkcdunt7jQESMHRKNu68fZ9MlX8mKPPPAgm4FIt3BYMRJ3To9FfMmJPeqlVQjD7FocgoWXZNii0Nze/ICf+b+BQgN9LNZQDI2sBrbt25GYyNHwRO5itOnT+PEns+R6G+b3bY9DAZMHRGPe+eO7/VjPb5kOobHDrDZOeqJW2eqehF7YTDi5G94s8e2tVH3xvxJw/DbH85jYaSNs1ev/esPEBbk3+MXu5x4ZN358QVjER1gwpkzZ/D666+jupoTcomcmVQ3yDYo0pTR1NSExaMH4dZpnQ//tJYBwDXDY/HcjxdbPWbeEj9vL/z9Z7cjOWZAj8/92pf9ZPE0LL/BfGOELbBmxMnJaPi3t6dh1aZv1MfW/rbkDVKKiZ+4dQbuum5ct7ehJuuUVNbgv9/+AjuPnFUvXGt/P3Lf6P4h+O/7b8ToxEFqsN+7776Luro6hIaGYtmyZejfn/NgiJyNjLPYunWrmrElxo0bp7pF5Xy78Ztj+NP6HWhqbrF6eqqcq00m4OGFk/GjG6+Bl9G2yyB1DU1YtelrvPvVIXUBZO38EeOlAZm/XjYXc8aZ3+DTVu/fDEZcxLHMXKxY9S7y6z3VO5k8qa58ssuTR55oHgYPzB2fhEcXT0XcwDCHHbO7kJfQF2npePXT79Rultrv4cpXlhSlyeyAsEA/VZH+w7kTVfeUpqSkBG+//TbKysrg6+uLu+66C/Hx8X3/DyKiTslMrffffx8ZGW1zPObOnau6RjtmHgpKK/HS5r349PtT6vUuF4JXnqvVxaFJ/jPh2lGJeOSmqRgW2/2ZIt2Rln4eL33yLfadzm3//lcGJto5Ss5LS6al4uFFU9T5qjcYjOjMl19+id27d6NfZAz6JY3H8XOFOJZdiIqaevX3oQG+SB08CCMTIjFvfDLCg/0dfchuR15Kx88VYffRs+r/6ecvoL6pGZ4eHogZEILUhEEYnxSNa0cnmr36kY0nJfV7/vx5GI1GLFmyhK3wRE5A3n9kVIWMuPD09MRtt92mdqM3e/+aemxLO4NjWYU4mlWA0qpadY6QotfUhAiMiI/EDeOTEdnHQw7PFZVh+8F0tfPuyZwiNdNKsjoyskCGOkqmVuYp+fdirHxHDEZ0RNYk//znP6sU/g9+8AOLLwDSx+9bNqA8ebJtuNqcOXMwffp01vwQOUheXp5aRpWLBdkoVrKWMuCTusbWXh2RnZIlEJFfqGxUSPrm5eWFO+64A1OmTFF/li0VPvnkE7VWTUR9Sy4K1qxZowKRgQMH4qGHHmIgYgccxenkJHElOySLa6655rIJt6Rf8nueP3++KmaVYrkDBw6oKwwJUmSzSiKy/7l3z549+OKLL9SfZYNYef256yau9sZ3NieXlZWl1ijlann8+N73npNrmTx5slqakzXq9PR0dYUm+0IRkf20tLRg8+bN7YHIxIkTcffddzMQsSMGI05Oy4qMHTtWdViQ+5Eaofvuuw/+/v5qX6jXXnsNFy5ccPRhEelSfX29KlRNS0tTf5YM5cKFC5mVtjP+dJ2YtHrKICztCpncV0xMDB588EGEh4erQjAJSCRrRkS2I2318to6e/asykZLoarUbrF43P4YjDix77//Xv1fdjvu16+fow+HHEwCEQlIYmNj1byDt956C0eOHHH0YRHpggwefPXVV3Hx4kUEBQXhgQceYMNAH2Iw4sSpwkOHDqmPmRUhjSzVLF++HCNGjFDdNdICvGvXLlVsR0Q9c+zYMbUVQ21tLSIjI1XHzKBBgxx9WG6FwYiTOnjwoNo0bcCAAUhMTHT04ZATkWJWqeqfOnWq+vNXX32Fjz/+WBXdEZH1JIiXYP6DDz5Qr5/k5GSVEXHHeVaOxtZeJyRXvNoSjWRFuF5JV5LnxLx589pbfyV4ldbfpUuXsuKfyAoSfEgQf/jwYfVnqQ254YYbWKjqIPypOyEpWi0vL4efnx9Gjx7t6MMhJyazZ+68806VLcnMzGTrL5EVZIjkm2++qQIRCeylW0a6ZhiIOA5/8k5ItqYWEyZMUBXdRJZIkd3999+PgIAAFBYWqiI8mU1DRJ13Kcpr5Ny5c2qA4D333INJkyY5+rDcHoMRJyNvJvIikWidLxCyloynlk4b6bqS5ZrVq1er9kQi+ic5t0rrbmlpqdpe40c/+pGarEqOx2DESYecjRw5kkVU1C1hYWEqIImPj1etv2+//XZ7RxaRu5M2+DfeeEMt0URFRamOmYiICEcfFl3CYMSJVFdXq03xBNt5qSekzujee+9FamqqKoTetGkTdu7cydZfclvy3JeOM2mDl9eETDSWZU3ZfZecB7tpnMj+/ftVhbek3GXiJlFPSDHrbbfdptLQ33zzDXbs2KEKom+66SYYjUZHHx5Rn2lublYBucwREdOnT8ecOXPYoeiEGIw40YtGghGhbR1P1FNysp07d65q/d2yZYtarpFaEtl0j62/5A5qamrw3nvvqcmq0iWzaNEibjbqxLhM4ySOHz+uXjwyhljSiES2ILuNyv4a0pUlBa3/+Mc/VFBCpGcy0l0KVSUQkeB72bJlDEScHIMRJ1nT1Np5pYOGqXSyJZkqqa2RFxUVqbZG6doi0iPZQFICEdn0TjKDUtTNKdbOj8GIE8jJyVFvDrLWL7NFiGxNugfkpCzbC8hQNMmQyJA0Ij2RScSygaTs7SUbSkrHjDznyfkxGHGidl6ZtioboRHZg1wlylyFhIQEte+RtP7KyZtID9nlL774Ah999JHqmJFuMtlQUgYBkmtgMOJg0uVw6tQp9THbecnefH191fr5qFGj1AlcTt7S9sjWX3JVTU1NeP/991XnmLj22mtVN5lkmsl18LflYLIhnrwRyJrmwIEDHX045AbkJH3rrbeqTMnu3bvVrqUSFN98882sVyKXm820du1a5OXlqY4ZeQ6PGTPG0YdFPcBgxIEkVZ6WlqY+ZlaE+rr1d/bs2Sog2bx5s5pOKbUk0vor2RMiZyf7L73zzjuoqKhQw/5kw0iZPkyuics0DiSzH2Rsd3h4OJKSkhx9OOSGpN1RNgqTDcOkC0H2tJGTO5Ezy8jIaH+uyvlT2waBXBeDEQeRpRmtcFWyIpwISI4iG4U98MADasbNhQsXVOtvQUGBow+LqFMyHFIyInIhJwGItkEkuTYGIw6Snp6udo6UgTxjx4519OGQm4uMjFQndalbknV4af2V5yiRs5Aumc8++wyffPKJupiT7kPZh4kdiPrAYMRBtKyIpMklRU7kaLKXjWRIBg8erDoU3n33XRw4cMDRh0Wk6uvWrVvXPhzy+uuvx5IlS9gxoyMMRhxUeCWjuWVp5pprrnH04RBd1forHQly9SnFrdu3b2frLzmMFFavWbMGp0+fVt1e0rYr7btc2tYXhpUOzIoMHz5cdTMQORM54d9yyy3qublz5058/fXXqlBQ2iZ5JUp9SSZTS32IBCSyHCP7LMlkVdIfnln6WG1trWqjFGznJWclV53XXXedWrqR7MjRo0fVBnvSPiltlET2dubMGTXMTJYM+/fvr7q+wsLCHH1YZCdcpuljsgbf3NyMQYMGIS4uztGHQ2TRuHHj2lt/z507p9opZUAakb2zxzLMTAIRqWGS4moGIvrGYKQPtbS0YN++fepjtvOSqxgyZIja00Zaf2Vrdmn9zc/Pd/RhkU47ZrZs2YKtW7eqOiUJhqWGiYP49I/BSB86efKkWvuUzZtGjhzp6MMhslpERITaAVX+X1NTowoKJY1OZCsyN0SyIdoF29y5c7F48WJuUeAmGIz0Ia0tbdKkSSwEJJcTHBysWn8lUyLp845vHES9IQXS2mwbOTcuXboU06dPZ/bYjTAY6SPnz59XmzlJlD9hwgRHHw5Rj8iQvrvvvlsN6pM0uqTUt23bxtZf6jFZ8pOlv6KiIpU1vv/++zFixAhHHxb1MV6e93E7r2zdHhgY6OjDIeoxCailzVdaf3fs2IE9e/aoK1sOoaLuOnXqFD744ANV1C/TfyXQ5bgD98QzRx+Qlsjjx4+rj9nOS3og6fNZs2apN46PPvpIPb+lHkrmQLD1l7oimbS9e/eqrJq2P9Idd9yhMm/knrhM0wdkXV1efLKpk+wBQqQXMqlV9geRN5GcnBy89tprKCsrc/RhkZN3Fcr+MlogMnHiRJURYSDi3roVjKxcuVIVX0qLn6TUJC0rI3otkap7uYrqeHOnNi0p9NP295gyZYqjD4fI5mQOhLT+SoFrSUmJWv+X+iiiK9XX16uJqto5cf78+Vi4cCE8PHhd7O669QyQ0dCPPfaY6gqRqFbeaOfNm6da/SyRk5RsSa7dZHiSu5Bpq3V1dSqdnZyc7OjDIbILuTiR1l/J/MmUYbkIkXoAIo0My5OhebIvl5eXl1rSkws0dsxQt2tGZBBNR3LCkZOQRLmycZE58mRzx+UJWZrRCldlQzxG/6RnkjGVTggZ4Z2RkYH33nsPN954IzeDJNVNKK3gcuEqzxNZlpEp1ESaXr07SgW9CA8Pt3i/6upqVS8hGxzJBlxaMael4TdS9Nnx5orkCuDChQtqlLZMEiRyl9bf8ePHqz9/+umn+Pzzz9n668bkfP/666+rQEQuSiWDxkCEbBaMyNjeJ598Ug2mSU1NNXu/YcOGqdTcpk2b8NZbb6mvmzZtmoqULdWmyAZd2s1Vd2nUsiIyk8Gd6mTIvUkG8KabbsLs2bPVn6VrQtvwjNyHBKC7d+9Wv3tp3ZVlahmaJ8v2RFcymHp4yfLoo4+qqx7ZXjwmJsbqr5MTUkpKirp6euaZZ8xmRuSmkcyIBCSSiXGVJ7IU8q1atUp9/Pjjj6Nfv36OPiSiPie7/cqFiHRQyGtY6gRkK3jSN/l9y27Phw4dah9pIPWFXKp2P5WVlSqp0NX7d4/mjMibqzzRdu3a1a1AREjhkixZyJqypVSvq7d5aVkRuRpgIELuSob8SY2A1I/k5uaq1l/Z+KyrpV1yXVKwv27dOmRnZ6t6Qakbki5MIku6FaZKEkUCkQ0bNuDLL79ULX09iZjlaknPa4bSvtbxioDInSUkJKjWX7k6Ki0tVQGJBCakP9rvVwIRqZWTDDgDEbJ5MCJtvVL3IX3icrVTWFiobhIJa5YvX44VK1a0//n3v/+9KmCTYs60tDQ1IElae6WISa/k3ynLUdJp1JOAjUhvBgwY0F64KK2/b7zxhtrFmvRDht7JjBlZopZ0vASgSUlJjj4s0mMw8uKLL6p1n+uuu06dVLSbpGA7PiFllohGpjE+/PDDqk5EhtvI+pHsZaHXjZCkQPf7779vz4qwh56ojezJJK2/snQpBY2Sytd2sibXn6ckAaZcmEZFRanAMyIiwtGHRe5QwOqMBTDO4MSJE1i/fr3an+PnP/+5qpEhossDdil+379/v/ozixtdl7x9yDBMuQm56Lz11lt53qO+KWClrgtXZb8FviCJriZBh2RJZSrxF198oV4zcqK67bbb+JpxIZLdkk0SpQZQyMiGuXPnMhtMPcJLERvKz89Xy1RysmXRFpF58oYlM4puv/12GI1GNTpeG4xFzk/qft58800ViGhzZW644QYGItRjDEbskBUZOXKkKvAlIstkYOIPf/hDNRRQNteTTgwpgCTndfHiRVWoKhdeMoJBWrUnTJjg6MMiF8dgxEZk5P2xY8fUx2znJbKebBXx4IMPqmUbKXiXgETe6Mj5ZGVlqd+P/J7k9yW/t8TEREcfFukAgxEb2bdvnyrMkymT0dHRjj4cIpfSv39/9cYmnRjSkSGdGV3tYUV9S2YnyWgHmaMkwy6lY0ZatolsgcGIjQq5ZOdiwawIUc9bf++77z61n5UMR5Q9TWQMgAs0/Oma/Py3b9+uxvrLBZcsQ8s8qYCAAEcfGukIgxEbkOUZKbyTtiVpbSOinpGpnT/4wQ9wzTXXqD9v27ZNtQHLmyD1PRne+MEHH6g9yMTMmTNV0TG7nsjW2Nprg6sGbXCTnEA5K4God+Q1tGDBAlWTINObZQlUZhVI668EK9R3dXBr165VhcXyO1m8eLHagZzIHvjO2Usy2r6oqAienp4YP368ow+HSBekRXTq1KlYunSpav09ffq0av2VN0iyv+LiYlWoKoGIdDpJxxMDEbInBiM2aucdM2aMmrpKRLYj20ZIHYm8tmSOj7xBSmsp2U9mZiZWr16N8vJytbuyFKrKZodE9sRgpBekvU2GNQkWrhLZh3SoSadNWFiYeoOUgEQykmR7Uoj/9ttvo6GhAXFxcern3q9fP0cfFrkBBiO9oG2IN2TIELa4EdmRvCHKG6O0lEprqUz/1Ob6kG1q36Q+Z/Pmzerj0aNHq6UZf39/Rx8auQkGIz0kVw5paWnq4ylTpjj6cIh0T1pJpaVUOtak9Vfr8mDrb+80NjaqHZT37t2r/iy7si9ZskTVwRH1FQYjvRgAJC9iuWKTzAgR2Z+0lN5xxx3tFwAy/+KTTz5h628PVVVVYc2aNWq5WQqFpWNp1qxZ3GOG+hxD3x6QKzGtcFVqRfjCJeo70mY6f/581fq7detWVecgrb8SpLD113qFhYV499131c9OlmPuvPNOVSdC5AjMjPTAmTNnVPGqtLxJFw0R9T25EJABabKckJ6erq7w5UqfuiY/r3/84x8qENHqcRiIkCMxGOkBLSsic0V4JUbkOFI/Iq2/cmVfUFCgOm0uXLjg6MNy+sJ7yYjIMrO07EogIi28RI7EYKSbZMCZ7FwpSzPayGoichzpsNHeUCsqKlRAkp2d7ejDcjpSVyOj9eUmS80yxOzee+/lfCRyCgxGepgVkSuykJAQRx8OEQEqEJGARGaSSKebtP4eOXLE0YflNORnIqPdtXEEc+bMwc0336yKVomcAYORbpDN8LQTHIecETkXWaqR1l+Z2ipZgA0bNmD37t1u3/ordSFSHyJ1IlJfIyP2Z8yYwcJ7cioMRrpBqvZlvkFUVJS6AiMi5yJvttJVI/vaiC+//FIN8nLX1l8Zof/KK6+o5WWZ03L//ferYI3I2bC110oShMjuoYLtvETOS16b8+bNa2/9leGEWuuvj48P3IXMDvnwww/R1NSkJkTfc8896mdC5IyYGbHS8ePH1Y6hgYGBGDlypKMPh4i6IAXmMjtDsiUZGRlu0/ory1IyTfW9995TgYgMZfzRj37EQIScGoORbg45mzRpEou+iFzEsGHD1NKELFHIkK9XX30VxcXF0CtZjpKJtLLPjJgwYYLKiMhMJCJnxmDECufPn1drrxKEyIubiFxHdHR0++6zslyzevVqnD17FnojGwi+8847qrZNyFLVokWL1MRaImfHZ6kVtKzIqFGj1BUWEbmWsLAwFZDEx8erNte3334bhw8fhl6Ul5erICszM1Pt3yPLU1LEy9o2chUMRrogQ5ROnDihPubuvESuS4Z7yZCv1NRUtZyxceNG7Ny50+VbfyVzK8tPMnk2KCgIDzzwAIYPH+7owyLqFnbTdEGGBMnJavDgwYiIiHD04RBRL0gxq+xMKwMLv/nmG+zYsUNlFW666SaXrAWTCyWZp9Lc3KzOT1IfEhwc7OjDIuo2BiMWyN4N0hYoOOSMSB9k6WLu3Lmqu2TLli04dOiQqiWRTfdcpfVXLpAkmNq+fbv6c1JSEnctJpfGZRoLZNqqFIXJerO82IlIPyZOnIi77rpL1VhIQau2i60rzDz6+OOP2wMRaWGWfwcDEXJlDEasaOeVFzsr0on0Jzk5WbX+yvwgmVIqtRfSAuys6urqVPHtwYMHVYbnxhtvVDeen8jV8RlshlSlX7x4UV1tjBs3ztGHQ0R2Its7SKeNTCmVoWiSIZHXv7MpLS1VOxLLruFyXrr77ru5czjpBoMRM7SsiAQirrKOTEQ9I/UjMqU0ISFB1YrJvA7JPjiLnJwcFYiUlJSoAlU5Vi4dk54wGOmEZERkfLRg4SqRe5AppcuWLVPzhKT196OPPsJXX33l8Nbfo0eP4o033kBtbS0GDRqEhx56iJ19pDvsprGQFZFR0lK8SkTu0/p76623qkzJ7t27sWvXLjVraPHixX3e+itBkHx/aT8WMjtEjo2FqqRHDEY6KRDTJjNyyBmR+5HC0NmzZ6uAZPPmzep8oLX+9tUeLzI3RDpmpKNPyDTVG264gRNVSbfcLhhprG/E2SPnkJ6WhdKCMphaTQgI8ceQsQkYOn4wjp48ona6lDSojI4mIvc0fvx4VZ+xfv16VTQq49ZlGUcGpllSXV6D9LSzyDyUjeqyGsAAhEeGqfPLkDHx8PGzXIMmyzGy467UiUjwIfvLcE8s0juDydELolaQqxI5AUi6tKfTBeXk8NHfP8P2t3ehqaEZcoHh4WmU8wRaW0xqjVj0GxqMgRNCsfwX92DiJJ4AiNydtPpKQat02kgLsEw5ldqNjuT8se/Tg9i4aiv2f34IMAEeHgYYjB7qHNPS3KqWXTy9jLjurum4+ScLkDL56gJUKVCV7yWdM1I4v3TpUgwZMqQP/7VEjnn/1n0wIlcpf//5P7Dt9Z0wenqok4JFcuYwAYmj4/Efb/0Mg1PjenfwROTy5NwjQUJxcbGq2ZBpp1o3S+7pPPzx/lU49V0GPIweaG2xfI7RzkPX3TUNP/3rQwjuF6Q+n52drTIiMmhRlogk6JF2YyJXxmDkUjbkPxf9DyouVnV5griSnFQkRfqzvz2EhQ/P7cFRE5GeSJCwbt06tWSjLZ+UnazB8w+9CFNra9cXOp2cYwJDA/DMx/+BJr861b0jGZaYmBi1665kYYhcndsHIxKI/GLWb9BY39TtQORKj//1Qdzy2IJePQYRuT5tFLsUtRYdLEP6R3m9ejwJSDyMBoy4Nx7Bsf4YOXIkbrnlFjWinkgPrH3/1uWckcrSKqy48Q82CUTEqp++hoNfHrXJsRGR65L2XgkWhvRL7nUgIuT81NzUguPvZGPsiPG4/fbbGYiQW9JlMPK3n61GVWm12UCk2dSMTNNxHDTtxg7TJnxheh/5pmyzjyeFaH+8bxVqq+rseNRE5CodeZ//329g8DDfZttqakG66Qh2mTbjS9OH+N60HSWmos7vbAJMTSYcePuE/Q6ayMnpLhg5sfc0vnzna4sZkSY0IAsnUYMqBCG0y8dsbTWhtLAc6/60ycZHS0SuZsNfPkVhdrEaC2DOcexHDtIxCHFIxlgYYMAhfI1y08VO7y8dfXs/2o+D25mBJfeku2Bk09+2qmp1S3zgi5m4CTMMC5GEUVY9rgQ3H7/4OZoam2x0pETkijUjm1Z9ajEQqTCVogi5GIpUJBlGI8aQiPGYBV/4Ix1tQ8w6I+etjas+tdORE+koGFm5ciUmTZqEoKAgDBw4EEuWLMHp06e7/DoZGiSjjGV6oez7sGXLFthDTUUNdq7b22VVu4fBCB9D9ycpVpZU4btP0npxhETkyg59eQwX80ot3qcY51UmJBqJ7Z8zGoyIwmBUoBT1ptpOv07OW99+fABlxRU2P24iXQUjO3fuxGOPPYZvv/0W27ZtU5NK582bh5qaGrNfs2fPHrXVtWzRLbtgSgAjt2PHjsHWzhw4i5bmFtiL0cuIk3vP2O3xici5ndhzpsvMaxXK4Y9AeBouL0QNQVj735sjzY2nv2/bpJPInXQrGNm6dSvuv/9+1X42ZswYrFmzRo0sPnDggNmveeGFF7BgwQI89dRTSElJwTPPPKPGLK9atQq2ln7gLDw87Lfy1NLUglP7eKIgclen92eqGjJLGlAPb1ydefWGX/vfmyOBjpzHiNxNr965pW9YhIeHm73P3r17MXfu5UPD5s+frz5vTkNDg+pN7nizhqRPpWffnopzOi9AIyL9K865YLFeRLSiBR64eodfj0unW/l78wy4mFfS6+MkcptgRCYFPvnkk5g+fTpSU1Mt7usgm851JH+Wz1uqTZEhKdotNjbWumOywUwRZ/geROScWqx4/Usg0lnA0Yq2r+0sULnsfjzHkBvqcTAitSNS97F27VrbHhGAFStWqKyLdsvNzbXq62T3XXvPk5XvQUTuKdCK17906zV2shTTiLr2vzfLAPgH8xxD7sezJ1/0+OOPY/Pmzdi1a5faR8GSyMhIFBVdPuxH/iyfN0d2q5Rbd8nmdnYtYPX0QPIE7qBJ5K6SxiequhGpHzNHZheV4QKaTU2XFbFKJ4329+bI4yaOibfxURPpLDMild4SiGzYsAFffvklBg8e3OXXTJ06Fdu3b7/sc9KJI5+3teSJ9g0UZDBR0oR/tusRkXuR17+lQEQMRDRMMCEPZy+byJqPcwhGOHwNljMfyTzHkBvy7O7SjGyjvWnTJjVrRKv7kLoOP7+2SvHly5cjOjpa1X2IJ554ArNmzcLzzz+vdrmUZZ39+/fj5Zdftvk/JnLwQCSkxuLcifNdFpnlmjLQhKb21OkFFKDe1PZxHIZe1ZanGIBpt0yy+XETkWuYctMEeHoZ1X4y5oQY+mGgKQYZOIZGUwP8EIgCnEM9ajACE8w/uAEYlBiBhNQ4+xw8kV4yIy+++KKq4bjuuuswaNCg9tt7773Xfh9p9S0oKGj/87Rp01QAI8GHtAO///772Lhxo8Wi156Sbb1v/enCLgMRcQ5ncBbHcf7S1csFdR1zXN0kROlsd81pN0/CgJh+Nj9uInINIf2DMevOaV3OGhmJSYhDEgqQgzM4BBNaMRbTEWYYYPZrZFDaksdvVOcxIndjMMnai062IBb1tQ14cMSTqs3XllXpsinWqu9WsmaEyM1lH8/FI+N+2eWk5+6eX0IHBOMfp/+CABawko5Y+/6tu71pfP198G+vP27bQMRgwF3/voSBCBEhYWQsfvjbH6hlFVuRbO4vVz/GQITclu6CETFm1kgsl5OFDcjyzIhpybj3N0tt8nhE5Prk4mTc7FHq/GALS/91Ma65cZxNHovIFekyGBH3/uYOdcIQPV2DldTp8MlJ+MMnv4K3TycFrUTkloyeRjy98d8wZtaIXtd4SJ3Iw3/8oc2OjcgV6TYYkRPEgyuXYcXbT8A/2K9bVzByX/n6pb9YjD998RumTonoKn4BvvjDll/hnv+8TV24dOccIwWwfoG++NfXfoKfvPAAi1bJ7emugLUzpYVlePPp9fj89R1obGiC0Wi8ajiadiKRMfcT543F8t/9ACmTk2z2byAi/UpPO4s3nl6H7zanQcUVBsNVdWuSTZHPeXobMWfZteocw+480rtKK9+/3SIY0dRU1mLX+r04+W06Tn57BqVF5TC1tMI/xB/DJg5B8sShuPaOKarXn4ioJxvp7Vz/Lc7sz8DpfRmoLquBwcMDoQNDMGJKklr2vXbpVASFBTr6UIn6BIMRIiIicii3be0lIiIi18JghIiIiFxv196+pq0kSbqHiIiIXIP2vt1VRYhLBCNVVVXq/7GxsY4+FCIiIurB+7jUjrh0Aau02+bn56udgtmPT0RE5BokxJBAJCoqCh4eHq4djBAREZF+sYCViIiIHIrBCBERETkUgxEiIiJyKAYjRERE5FAMRoiIiMihGIwQERGRQzEYISIiIjjS/wfwb7PYG2G52gAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : a[1] * a[0]), cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]+15)), cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "graph = MapperGraph()\n", - "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]**2 + a[1]**2)), cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", - "graph.draw()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.13.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/doc_source/notebooks/compute_mapper.ipynb b/doc_source/notebooks/compute_mapper.ipynb new file mode 100644 index 0000000..362fafa --- /dev/null +++ b/doc_source/notebooks/compute_mapper.ipynb @@ -0,0 +1,497 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Mapper Graph using computeMapper\n", + "\n", + "We may construct a mapper graph from a point cloud" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "number_of_points = 500\n", + "\n", + "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We may compute the Mapper graph of this shape using computeMapper" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from cereeberus import MapperGraph, computeMapper, cover\n", + "import numpy as np\n", + "\n", + "\n", + "import sklearn\n", + "\n", + "graph = MapperGraph()\n", + "graph = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The computeMapper function takes 4 inputs:\n", + "- A point cloud\n", + "- A lens function\n", + "- A cover\n", + "- A clustering algorithm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covers may be created using the cover method" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)]\n" + ] + } + ], + "source": [ + "print(cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covering sets may go beyond the specified range if they have a nonzero percentage overlap with other covering sets." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both covers and point clouds may be input manually" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph2 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", + "graph2.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_moons\n", + "\n", + "number_of_points = 200\n", + "\n", + "data, labels = make_moons(n_samples=number_of_points, noise=0.05, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append(data[val])\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(np.float64(-1.2259004307319845),\n", + " np.float64(2.1731624220868624),\n", + " np.float64(-0.6639113257043391),\n", + " np.float64(1.162391196195627))" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zoY7IjCvR1NSEFStW4OTJk9i0bxQqGqZ0f6E+kyEL/YfNLNMuISyonas86AXIQv4KyALM/IEpmt0fj0IW/jFkblj0SaaIgixiFeB7uwWHVQ7Iw/WCK+ABG42QYRhLkSn7QBa5BvAeY3jHnG8LiyZdH2S+02w0QsZW1NfX45NPPsGlS5fg5eWFu+++FxEp70IW/DtSBxbMhQrIAp/Ti0xZd+pAdY5TB2+2h6QtgVT7b6DhK9JyzTurbXUxw8Qq6dMmA5+BzJt8le6PpNoDqfZNQH20ed9I7cSoNDe0oYpufndDFvgjfVEehmGcFnGpbvwWUu27gDYLWp0McpkE2U06o/n3LY+EzP8hIOAht7LSegpVVVX49NNPUVpaCl9fX9x7772tWmJImjxItf8EGr9rLqBF817bWiaGOYB0yAz9XKjsY/P52+WEhQFJVws0btC3PqeHlnJ8dfrJUjkQMiog5TvbJoEproCkvgiotkJSn9J3KZUa9CeeIg5QDoHMexjgOwsyma+jh8owjBnQJfvrlf+HiKAzGJqhRKBvPt1RkGlD7xJVDoLMe7Te3C3rRssDxmGUlJQIUUHzZVBQEO6//37R+LM9JGpaR3NhU6Z+LtRV6MWEPETv/hdz4RzIFLF2m79d9qwTLg3/xZBhsaOH4pQIVUomVEcPhGEYq1JbW4tT55UAhmDklJ9B7s+F7NyJvLw8fPHFF2hoaEBkZKQQFTSZd4RMHg743weZ/31wFlxWWDAMw3gi1GXa0LvJn0WFW3Hx4kWsWrUKGo0GCQkJwv3hiseYhQXDMIwLCotevXo5eiiMFTl58iTWrFkjXF2pqalYvHgxvL1dMzaGhQXDMIyLQJNOdna2eN67d29HD4exEnv37sXWrfreMIMGDcItt9wChcJahdHsDwsLhmEYF6G4uBh1dXVQKpWtMgQY1xWKW7Zswf79+8XrsWPHYubMmaLEgivDwoJhGMZFMFgrevToIeoaMC5eTfPbb5GZmSlek6Cg7uHuAJ+ZDMMwLgLHV7gHVE2TgjSzsrIgl8uF62PwYPeptcTCgmEYxgWgTIErV66I5xxf4drVND///HPk5+cLlxYFaaalpcGdYGHBMAzjAly9elWICyqYFBUV5ejhMBZQWVkpCl+VlZXBz89PpJMmJibC3WBhwTAM40LxFeQGcfXgPk8NvP30009RU1MjqlZS4St3FYgsLBiGYVwAjq9wbWvTF198gcbGRiEmSFR0p6WFs8PCgmEYxsmhFNOioiLxnIWFa3HhwgV8+eWXwo1FKcL33HOPcIO4MywsGIZhXMRaERMTg8DAQEcPhzGR48ePY+3ataJeBQVoUqAmBWy6OywsGIZhXERYcDaIayBJkqimuW3bNvF6yJAhWLBggUtX0zQHFhYMwzAuUsab3SCucbw2bdqEgwcPitfjx4/H9OnTPSrgloUFwzCME1NaWioyCajSZnJysqOHw3RRTXPNmjU4deqUeD1r1ixRptvTYGHBMAzjxBisFSQqPME/78rVNFeuXCmOF1XTXLRokWgo5omwsGAYhnFiOL7CNbJ2qJpmQUGBEH933XWXaH3uqbCwYBiGcVIoRTE3N1c85/gK16imed999yEhIQGeDAsLhmEYJ+XatWtQq9UICAgQqaaMc3H9+nUhKmpraxESEiIKX0VGRsLTYWHBMAzjpHAZb+eFGsJRNU2VSoXo6GhhqXDnaprmwMKCYRjGSeH4Cufk/PnzopomZYFQUO2SJUvcvpqmObCwYBiGcdL22hQMSHB8hfNw7NgxrFu3TtSr6Nu3L+644w7O1mkDCwuGYRgn5PLly+J/MrNTq3TGsZCQ2LNnD77//vuWapoLFy4UqaVMa1hYMAzDOCFcbdO5RMXGjRtx6NAh8XrChAmYNm0ax710AAsLhmEYJ5zIOL7CeVJ+v/nmG5w5c0a8njNnDkaPHu3oYTk1LCwYhmGcDKqJUFVVJZpW9ejRw9HD8Vgo44OqaZLII5fHbbfdhoyMDEcPy+lhYcEwDONkGKwVXMbbsdU0P/vsMxQWFopjcPfdd7P1yERYWDAMwzgZHF/hWCoqKkThq/Lycvj7+4saFfHx8Y4elsvAwoJhGMaJoNoIhjLefIdsf4qKioSlgqpphoaGimqaERERjh6WS8HCgmEYxsnKeFOnTLpTjo2NdfRwPAoSdMuXLxexFVRCnSwVnOprPiwsGIZhnDC+gst425dz585h9erVwmJEAbNUTdPX19fRw3JJWFgwDMM4ERxfYX+OHDmC9evXizTf9PR0UU3Ty4unR0vhPccwDOMkNDQ0cBlvO0JCYteuXdixY4d4PWzYMMyfP5+raXYTFhYMwzBOVMabJjtqvU1tuBnbodPpsGHDBmGtICZNmoQpU6aw+8kKsLBgGIZxwvgKxrbVNL/++mucPXtWvJ47dy5GjRrl6GG5DSwsGIZhnCy+gtNMbQdlfKxYsUJYh8jlcfvtt2PAgAGOHpZbwcKCYRjGCaBiTJWVlWKy69mzp6OH45ZQbQqqUUG1Kry9vUU1TbYOWR8WFgzDME5krUhKShKTHmN94UbVNKmqZkBAgKhRERcX5+hhuSUsLBiGYZwAjq+wHdTvgywV1P8jLCxMVNMMDw939LDcFhYWDMMwTpChQD5/guMrrAvtV6qmSdVMqZomiYrAwEBHD8utYWHBMIzHoJU0KG7MQ6W6FDpJCx+5H2J8kxGkDLPbGGi9Jap8VDQVi/F4y32gKfdCo6oRfr5+bJ5vQ5OuEUUNV1CrqaLKE/D3CkKsb0/4Kvy7/C5lfXz11VeimibFrVBMhTtW02zU1qGo8QrqNTUAZAj0CkGsX09xbjkCFhYMw7g1al0TzlTtx6GyzchruCgm9rYEKEKQEToWoyPmCKFhbbSSFuerD+Ng2UZcqTsHjaS++UPzFQhsSEZBYw4S/VPhydAEeaziexwp34ZSVT4kSDd9Jtw7BkPDpmJE+AwEK292axw+fFhU0yT69esnsj/cqZpmtbocR8q34njFdpQ3Xb/p7zLIEOWTiOHh0zEsbKoQZPZCJlE1FjtSXV0tCr9UVVUhODjYnqtmGMbDOFW5D9/mv4t6bQ1kkEOCrsPPyiGHDjqkB43EosQftDtZWcKlmuP4Ku9NVGvKuxyDTJJDkumQEjAAtyf9WEyengQJsF3FX2N78UohANsTFG0nT/p3fORCzIhdAqXcRxQYo0qaVFGTGD58OObNm+c21TSbdCpsLfoc+0q/ExacrvYR7R+FzAvTY+7ChKhboZApbD5/s7BgGMYtzeer8/6F01X7xYWVLsCmQgKDJqg7k55B/5DRFo9Bo1NjbcF/cKR8i5gAJTPHIJd5YVHCDzAsfCo8AXINfZr7Gooa9S3jzYH2b5h3DO5J/hmOfX8GR48eFe9PnjxZPNylmmZRQ67YR5XqErPOJwPxvr1wb8+fI8w72qL1s7BgGMYjUWkb8MHl3+NafVan1oGukWFx0jMYEjbZIlHx6ZXXkFVzwqIJwJj58Y9gXOQCuDNlqkK8m/0rNGhqhNXIEsgaJNPKId+ZAnmVv+j5MWLECLgL1+qz8N+c3wrXnqXnNQlWf69g/KD3qwj3ibXZ/O0etiGGYZjmplLLr/7VCqJCLA1f5v0TObWnzf7mt/nvWUVUEN8V/K/Z8uKeNGrr8d+cl7olKgg63jqZBpoJOVhw5xy3EhXV6nIhlrsjKgjav/WaarG/SYDbCveJZGEYxuOhgL+LNXozeFO9Bgc+vISCU+UoOF2Bxmo1FvxhGAYt6nHT985uuoZDn2ShLLcW5IqPTA3G2If6IG1SHFbl/QPP9vknfBR+Jo3hfPURHK3YZvYYjnyRjaMrclB5rR5+od7oPzsBk57qD29/Jb6+9hZ6BvRDoFco3I0NhR+JiVNV32TSvnp18NcdLqvnmCjc9+4knPHfhmHSKLdwgUiSJI5/k7bB5H0kvqeTcOzLyzj+ZS7Kc2ug9FUguk8IZvxsEKS+wMbCj0UskS1gYcEwjFvQoK3DuoL/tryur1Bhz7vnERznJy6oV4+Utvu9w59nY8vrmUidGINBzwyApkmLzG+vYuXT+3H7G6PQbwawvXgV5sQ9YJILhCYBQ0yFqWP4/m+nxYSRPjMeI+9NRWlONY4sz0FJdg3ueWe8uLvcWPgJ7kx6Gu7E1boLIgaFMHVf3fLK8JveKzxbicOfZaPX2GhxR3+h5gjOVh/EgJAxcHXOVB/AxZpjZu0jYt1Lx3BmfR4GLkjGiCW90NSgwfXzVagvV4l9dKh8k4jfSfLvY/Uxs7BgGMYtoLQ7ipg3EBjli2e2zUVgpC8Kz1Tgg3t3tPu9o19kI25AGBb/a2zLHe7gW3vgXzM34tTaq0ifkSDSRKfF3N1lXYAzVQdQq6k0awy1JY049GkWMhYk4ZZXbpjvw3sEYvNrmbi0oxBpU+JwsmIX5sQtdSurxb7SdS3ZOKYer4wFN6cDX6EJVgb0n5vUEm+xt2StWwiLPSVrWrKJTN1HZIE79e1V3PHX0eg7Pb7dz9B+p8ySu5OtLyw4xoJhGLfgQOmGVtkfXt4KcQHuClWdBgHh3q3M5j6BSij9FfDyUbRkmZyu3Nvlsg6WbRCTgDljuHayDDqNhP5zElu9b3hNkwRBE8ux8u1wF+o0VaK+iCGuwtTj1RayMF3YWoDk4ZEIjvFr2VdX6s+huFG/71yV641XkVd/sSWuwtR9RG69+IwwISrIJUIuubbQfj9dua+5qJYDhcXvfvc78eMzfqSnp1t9UAzDMOZQq65EWVOhRd9NHhGJ7H3FwiVSmV+H0ss12PjqCahqNRh5X++Wu7ucujNdukGMJwFT0aqbJ41mEWOAfOIGMz+aJVNO7Sm4C1fqzncrWNNA9u7raKxRI2O+3lphzOUujpmzc7mWxm9enIiqVi3iL8gKt+OfZ/DG+HX4y9i1eGvephaRakAHLa7Un3e8K4T61m/duvXGAtyokhnDMK5JfoO+M6glzPrFYDRUNok4C3oQfmHeuPe98UgcHCFe0wSYV3+h0+VQSWVLJsqInvqKiNdOlKHnqKiW9/OOlYn/a4sbm9+RcK0hSwTzuUNQIh0zORRicusOp9fnQeEtR/qM1iZ/WnZBN84LZ0C/j+Rm7aOKvDqhQklEyBUyTH1uAHwDlSIG5ZtfHBbWuN7j9YXXaNkF9dnoFzzSquM2WxWQkIiNNT3/VaVSiYdxHizDMIw1KW8qMrsQlgGlnwLhPQMRFOOH1EmxaKrTiJiH1c8fxNIPJiE8ObClgFPXYzCf2H6hiB8YhgMfXEJQtB96jIxEGVlNXjkJuZcMatWNSaVBWyvcMqZmqDgzFU3Xu52OS3fn2buL0HtCDHyDW7eap8m4VFUAV6/voTNTeFGQJkFi+cFPJiNhkL6CLMXpvDlvE/a+d75FWNDeb68cuN1jLC5duoT4+HjR2pf62V+9erXTzy9btkwU1DA8kpJuNlcxDMN0B2rmpS/vbD5fvXAI1YUNWPjH4eg3M0EEbt7/34nQqXXY+a+zLZ9rr8dI2zFYyh1vjEZ0n2B899IxvDVvM1Y+cwD9ZiUgNj0U3v5eVluPM6Hfju4Ji/NbC6BR6dp1gxjcU66Mpr2eMl2gbHaphSb4t4gKgs6jtEmxwk2i0xgsaxK0FqzDqhaL0aNH48MPP0Tfvn1Ff/vf//73mDhxIk6fPo2goPYbnLz44ot4/vnnW1ksWFwwDGNNRI8IC9wQFdfqkLP3Oub+dkir9/1CvJE4NEK4Jwx4yZRdjsFSyFrywEeTUX6lFrVljcJKQkF6/5yxocVicmM9re/MXRUvmbfZpc7bQumUPkFKYWlqD2+5a3cy9bbgnKLMESIg4ubvBoT7iEDhpgYtfIPkYv9357y1irCYO3duy/NBgwYJodGjRw+sXLkSjz76aLvf8fHxEQ+GYRhbQV0cLaGuTB+/0J4xgi7AOq1k8jqiLRyDMZRiSg+iJLtapKIOuuVGemWwV7hNJgJHEO2b2C17Be2bK4dLMOiWHiJboi0UY2GLTrX2JNo3uTnI1XR3CLnTAiJ9UNMSm3ODmpJGePnI4ROgn/qlbvx2bJZuGhoaij59+iArK8t6I2IYhjGTeL8Ui74XlhQImVwf6GbcNqn6eoMInoxJD22ZpJICOs/3j/SJF3fh1oBSBLf/7bTIDBm6WL9tdHdpi2JGjiLBr3e3ylOf3XgNkg4YMK99CzhNxgn++qweVyXRr7dFwa39ZyeiuqgBl/ffiAui4lpUE6XHqCjI5Hq3Ie3/BP9UWJtupXTU1tYiOzsbS5cutd6IGIZhzMRXESAm3bY9QqhMNqUi0t0tcWlnkRANxIh7egvTMMVUnPjqCj5/fI/I+6ec/6MrLougyXGP6idyurinBQ3tdAxymQJ9goaIkt46M8bgG6TE5tczoVFpEZMeAp1awpkNecIXTnEfIXH+4rPkMugTPAzuQnJAurC+qI2Kmpmyr4yzQcjsT8Gu7UH1RHoHDoIr0zto8E3uIlP20dhH++Dc5nys/ulBjFqaKrJCjq26DK1GwpSnB7RyFTm88uYLL7yAhQsXCvdHQUEBXnrpJSgUCtxzzz1WHxjDMIw5jI2Yj5X1f2v13sGPs1BVUN/y+sK2AvEgKOCPLsJzfj1ElEc++fUV7PinPlgzbkAoFr48XBRdMrgg+gZ1PamPiZiHs9WHzB5DbHoIDn2WLWIG6G6Sihvd+96EVumnNAkMCp0Id4G2Z0TYdFHV1CDETNlXRFluDYrOVopJ03D3bQylUfYLGY1g5Y3gRVckRBkhUkGNxaop+ygwwhdLP5yEbW+cwuFPs4SgoEDOW14dgZi+IS37aET4DIviOLrCrLbpS5Yswa5du1BWVoaoqChMmDABr7zyCnr3Nt3cxG3TGYaxBZQB8NcLT6FaXWaVrqLGzI9/FOMi53f5Obqc/vvS87jemGeF7qo3oLvWydF3YGbsvXAnKJ3y7xee6XYti/b4YeprbuE6ulp3Ae9mv2j15ZKF7dk+/0KEGe3TbdI2ffny5cJSQXUprl27Jl6bIyoYhmFshZdciTuTnrGqqKC7ukS/NIyJmGPS56lwFY3BmpBJP9w7FlOi74S7EeETh5mx1rV4kwgbF7nALUQFkRzQF2Mj5lmcTt0Rs2LvM0tUmAP3CmEYxm3oFZiBiVG3Wm1CpxiAxck/EXd3phLnl4LZcfdbaQwyyGVy3JX8nNukmbZlfNQi9PDv16rHSneEIGU5zIy9D+5Er7qxQI0PBft0G9rPKQEDMD5yIWwFCwuGYdyKWbH3Y3jY9G5PUCQqHu71ksj2MJcJkYswOer2bk8AJGiW9vwVEm0Que8sKGQKPJDyK8T79eqWuDBYdh7p9TubxA04itOnT2P1iq/gtbsXvNUB3d5HlI1zf88XzRLL5sLCgmEYt4Lu8G9L/BFmxy4VaaIkEswlyjcJP0xdZrE5nVwis+Lux6KEH4oUVHPHQJaKUO8oPN77FaQFtS7e5a5ZPY/1/gMia5td6xZ4s/oFj8APUpchSBkGd+Ho0aNYvXo1dDodBqYNxXOD/om+QcPNXo7BjTIsbCoe7f17+Cr0mUa2wqzgTWvAwZsMw9iL4sY8rM1/Hzl1p5ubOXVgS6aroAzwkfsLV8qk6FuhkFmnwSL1GFmX/x+crzmiN2XTNb4dd7khrVAp88HYyHmYFnOX2xTDMgVqD/HBBx9AF12NgIm1qNKVdHrM6O6bAmRDlJGYE/cABoaMd4vmbAb27t3b0vBz+PDhmDdvHuRyuQgQzqzcg01FH6NKXdbpPjL8LconAfPjH+kyZdpa8zcLC4Zh3J6Sxms4Ur5VtD6/3nilVb8NuUoJqcwPE3rOwfQ+t9lsMv9uxzc4ULIRvklaNAVUt+oD4acIEu4OSi0cEjrZLZqMmYNGo8G7776L0tJSDBkyBLfccgty687ieMUOXKk/J7JHjINyw7xj0MM/HYPDJiI1cIiwUrkLkiTh+++/x549e8Tr8ePHY/r06TeJJp2kw6WaEzhZuQtX6y+Ipm7GIpVceMn+6RgWPlUfw2IF0WXq/M09zxmGcXuifBMxN/4h8ZxERZ2mWlyYfeS+2LRuK06ePAlv72go021nIbh6rhBexXFY2Pc2ZGQMEGPQSloRD+CnCHSru21L7s5JVAQEBGDWrFliX6QEDhAPgopoNWjrIEk64TZxV+ElSRLWr1+PI0eOiNckKKisQ3uQmOobPEw8CJW2AY3aOshkcvgpAhxq7WJhwTCMR0EuDuPCSVTwj4TFlStXbLbO8vJyFBcXiwkzLS1NBM65UyxAdygpKcHu3bvF8zlz5sDP72bRQJOku7uFtFot1qxZg1OnTonX8+fPx4gRI0z+PoktZxFcLCwYhvFoSFgQ+fn5wiTv5WX9y+KFCxfE/z179mx34vRU6A593bp1YlJNTU3FgAE3yk17Emq1Gl9++SUuXrwo4ihuvfVWDBw4EK6K+zimGIZhLCAsLAyBgYFicqPCf7bg/Pnz4v++ffvaZPmuyrFjx0TQplKpFHfonugOUqlU+Pzzz4WoIFF79913u7SoIFhYMAzj0dBkZrBa2MIdUldXh7y8PPE8PT3d6st3VWpqarBlyxbxfOrUqaJbtqdRX1+Pjz/+GLm5ufD29sb9998vOoa7OiwsGIbxeAzCgu6erQ3diZLJPy4uTkTUM3o2btwo7tZpv4wePRqeRnV1NT788EPRJoPcYw8++GDLeejqcIwFwzAej+GCTpYFcolQ12ZrwW6Q9mNOzp49K6xF1DGb4go8ifLycnzyySeorKxEUFAQli5dKhp7uguedTQZhmHagS7qdNdIQXSFhYVWW25TUxNycnLEc3aD6CErBaVUEmPHjhUWC0+iuLhYFAIjUREeHo5HHnnErUQFwcKCYRiPh+6ck5OTrR5nkZ2dLTJNKEA0Ojraast1Zaj4E7kBKKZi8uTJ8CSuXbsmREVtba04Hx5++GG3jC1hYcEwDGOjOAtDmim5QTwx46EtlNJ76NAh8XzBggUiYNFTyMnJEYGajY2NSExMxEMPPSSykdwRjrFgGIYxEhZksaCmT931+9MyDMKC3SD6AlBr164VzwcNGoTevZsbjnkA58+fF3UqaB/06tVLpJS6s6hiiwXDMAyA2NhYcbGnGADyg3cXEih0d+rv74+kpCR4Ovv378f169dFLAuV7fYUTp48iZUrVwpR0a9fP9xzzz1uLSoIFhYMwzB0MZTLWwSANeIsDNkgVJfA07Ie2suC2Llzp3hOooJ6gngCBw8exDfffCPSjam52p133mmTyq7Ohmef7QzDMEZYq1AWTSTsBmldtpuCWFNSUjB48GB4wjbv3LlT1OogqE4HdWz1FIHp/tKJYRjGAmFBk4OlAZdk8qfW0lSqmnzqnkxmZiYuX74s7tQpYNPdg1glScLmzZtx4MAB8ZoyX+jh7tttjGfIJ4ZhGBOIj48XEyCVWi4rK+u2G4QCFElceCpUznzTpk3iOU2uVLfBnaGA3W+//bZFVMyePRtTpkzxKFFBsLBgGIZphkQFpQJ21x3C1Tb10J17Q0MDYmJiRDEsd4ZcPZT5ceLECSEkFi1ahDFjxsATYWHBMAxjRHcLZVVUVAhXCE0u7tBQqjvFwcgNQlDZbmuWSXc2qMLq8uXLce7cObGdixcvFsGangrHWDAMw1gxzsIQtEnLoVRTT4QmWgrYJEaNGoWEhAS4K5RSTG3Pqc8Mub2WLFni8XE1LCwYhmGMIFcIRe9T2WkKwDS35DK7QSAyIqgXRnBwMKZNmwZ3hUpzf/rpp8JC5evri3vvvZdrlrArhGEYpjVUvIiCOC1xh1DQp6EkuKemmVITNyqGRcybNw8+Pj5wR0g4Ud8PEhVUl4NKdLOo0MPCgmEYxkpxFhcvXhTuE6ri6Y7NpUzJiqCy3bQP+vfv77ZWm9LSUiEqqPBXSEiI6FBKAaqMHhYWDMMwViqUZdx0zBOhSpNksSArxZw5c+CO0PaRqCBXWWRkpBAV7p5Gay4cY8EwDNOBxYLuSGtqahAUFNTld9RqNbKysjzWDUKuge3bt4vnM2fONGmfuRokNL/44gvRTyYuLg733Xefx5QnNwe2WDAMw7SBAvHInWGO1YLSK6mWAZnGPc0sTq6P7777TogrEmXDhg2Du3Hp0iURqEmigixaDzzwAIuKDmBhwTAMYwV3iHFvEE+rtHjmzBlhraEaDu5Ytvv06dOiTgUJx7S0NGGpIPHJtA8LC4ZhmE6EhSHLo6ugRU9tOkaVNQ3NtiZMmICoqCi4E0ePHsXq1avFMc7IyMDdd9/t0WXaTYFjLBiGYTqJsyguLhZppJ0Vu6LiSDTB+vn5tXzPU9iyZYvoCUKBjCQs3Im9e/di69at4vnw4cNF+qyndCjtDryHGIZh2oH85zRZmmK1MBTFohLenjTx5Obm4vjx4y1lu6nXirvEjGzbtq1FVIwfPx7z58/3qGPbHXgvMQzDdCPOgiYhT6y2SfEGVLPCcDfvLpYaOp7r16/Hnj17xOvp06djxowZbhc3YktYWDAMw3QjzoJcJZRqSXfr1CbdU9i1a5dIxw0MDBQTrzug1Wrx9ddf48iRI+I1WSnczb1jD9zDbsUwDGMDDHfhVBSJ0gzbK09tsFaQqKBy4J4AiSmKPyDmzp3rFhkSlCpLbc+peiq5PG699VYMHDjQ0cNySdhiwTAM0wFUk4JKc5N5nAI028PTqm3SviAXCGVJ0Db369cPrg6JRupQSqKCLE+U+cGiwnJYWDAMw1gYZ0HdT8maQf53Ctz0BMhNcO3aNWGdIWuFq8ceUMbPxx9/LAJRaZuoRoWnHEtbwcKCYRjGQmFhcINQV0tPqMJI/TEMmRIU1EgWHVffng8//BAFBQUiVfjBBx9Ez549HT0sl4djLBiGYUwQFvn5+cIPb1wcydOKYm3YsAFNTU1ISEjAiBEj4MpQ4Oknn3wiAm+pr8nSpUvdrriXo2CLBcMwTCeEhYWJiYdiCkhcGKCCWGQ+95T4inPnzgkLDQU2Us0KV67pQMGn1KGURAUdX+pQyqLCerjumcEwDGMHKIagPXcIBfpRIGN0dLTbt81ubGwU1gpi3LhxLt1kjeJDSFTU1taKY0eiggJ0GevBwoJhGMbEtFNjYeFJbhCqQknt40lATZo0Ca5KTk6OCNQkoZSYmIiHHnpI1OFgrAvHWDAMw3SBwWJBKadURIncItTN0xOEBW2zoWAUdS511QZc5MahOhV0/Hr16iVSSj2l7oi9YWHBMAzTBeR/p6wBiqug9FJKUaRAzuDgYMTGxsJdoUnYULZ7yJAhSElJgSty8uRJrFmzRriuSAjecccdbtPXxBnhPcswDNMJWp0O5ap6hPSIR8WlbFy+fBl55SWo9QL6pvWCRHEYcD10koRyVR2atFr4KLwQ7uN/U00Kqq5ZUlIiOrvOnDkTjkSl1aBCVS/2d5DSB4HKm6ugtsfBgwdb2roPHjwYt9xyi0sHnroCLCwYhmHaUFBXhZWXT2BvUS7OVhahUavR/yHNCyvzd+mVRKoXvqo7jZdXX8CAsFhMiE3B4pTBiPUPhrNyvaEGK3Nouy7jdEURGrTqlr/RRD0oLA6T43rjjpRB0NbUi34gxJw5czptG28LyLpwoqwAX14+iSOlV5FTXQ6dkBV64v2DMTQiAQuSB2BafBq82ogF+j6Nf8eOHeL16NGjMXv2bJcv6OUKyCTa+3YuSEJFVahiHZkRGYZhnIXC+mr88dhmbM6/ICYguqs3FTlNWBIwL6kffj10BqL9guAslDTU4pUTW/Hd1bNCFHW0XYYp10uuwKAmH6TlVKNfSm9RjdKeE/KB4iv4w7HNuFBVDIVMDq2ka/dzCpkMWklClG8gfjpwMu5MGSzGSdPa5s2bceDAAfG5yZMniweLCvvM3ywsGIZhAHx1ORO/PboRTTqNmKwshSY7P4USL4+ch4XJA+Bo1uedw68Of4d6TZNZ2yWTJPhqZXhj9C2YnTrQbu6OZSe24ZOsI5BD1spCYQoTYlLw+sgFOLh1O06cOCHeIyvFmDFjbDRiz6KahQXDMIxp/PvMHvzt9E6rLY/ui+nC+uLg6Xgs3XGT2gcXDuHlE1taxmMu9D0ZZPjr2EU2F0kNGjUe27UCh0qumi0ojEVdoKTA9OxGBGlkIp6Cgk4Z+87fHMHCMIxH81nWUauKCsIwLS47uU3ECDiCr3NPCVFhPB5zoe/RJP/8/jXYU5Rj1fG1Wo8k4el9X3VLVBBkkamW1NicrMDc2xexqHAQHLzJMIzHklNdhj8e10++ukYVKtfugSrrmnjo6hrgNzwd0GhbXkf98HYETRnW8n1Jo8XVH/8Z2spayHy9xWuvsCD49k9B2B3ToIwOE+6V0VE9kBRov+qO+XVV+M2R9R1uV9vtIIrfWo3aXcdvWpYyPhLJf30Ozx9Ygy3zfogQbz+rj/eL7GPYXphl0lglnQ61u06g7vBZqC4XiM94RYUhcNxAhCyYALm3EvVKGVbWXcVIDLb6WJmuYYsFwzAeCd0l//zQWuiaAwO11fWoXL0d6vxiePfQ16ZoOHq+1eu2VG06ILInCBITkY/egsAJQ9Bw4hLyf/02NOXV0Oi0ePHwOjtuGfDrw+uh1mk73K6OkCm9EPXUna0e4ffNgQQJlU0NeO3E9zbJVKHAUlPHKjWpUfLOV9BW1yF45ihEPDAPPqmJqFj1PYpe+1gcV7J6fJWbaVMrC9MxbLFgGMYjoVTG42U3moqRpSH5nV/AKzQIqux8IQzCH5iH0HnjWl4bo62qFZNg2O1TUbFqG/z6pSB46nDxt4CR/ZD/q7dRu/s4vBZNxv7iKzhbUYT+YbYvpnWhshi7r+d0ul0dIpcjaOKQDt0Mq3NP4qeDJiPS13plsD/POoamZhFkylhlXgrE//4J+PbVl1kngqePhDIqVIiLhtPZ8B+YKrJ03j23HxNie1ltrIxpsMWCYRiP5NOsIyKV0fhunSY0YxT+vh1+v+yLzVDGRSJw4s3mdjLNE9q6Rv1yZDJ8mnUU9ooZ6Wq7OoNcDbr6xvb/JgErc6wXM0JWFRqvIf3VlLHKvLxaiQoDASP765eZXyL+p2XuK87F5Zpyq42XsYOweO2110Re8LPPPtudxTAMw9gVMpd/X3Cpw/oIXdGYdQ21O48j4sF5LdUfdKomYcWgO20y1RN+Gb1b7vZpffZgaze2i9wMuQ//EbmPvIzcR19B6f/WirgHA+RisOZ2nKu4joqmBqssS1NZK/5XBN0o5EVHZndRtlWWz9jBFXL48GG8++67GDRokKWLYBiGcQgF9dWoVt+YMM0VJWUfrEPA2IHw7ZMMdXGFeL/yqx2o/FIfgyAP8kfEQ/PhPyi15XsljXUobaxDpG8AbAWVvKaYBUsgN0TIwgnwSYkXpon6E5dQvfkgVFcKEf/bRyFTKMTnyKVDZc4VViiLfaqi0OJU2LZUrd0NmZ8P/Ib0aXlPLpPjVHmRFZbO2FxYUB97qsT2/vvv4+WXX7ZkEQzDMA4jq7rU4u/W7jyGprzriHluSav3g6YNR8DwfmgqKEHt7hOQVE03fTe7utSmwiK7uszi74bfM6vV68Bxg6CMi0DFiq2oO3hGvCZUOi0KG6qRGBBqleNAbhuNhRYWAxVf70DDqWxEPrIQioAbWStkuTlfeb3b42TMwyLJ+dRTT2H+/PmYMWNGl59VqVSiqIbxg2EYxpE0GvXIMAddkxrlX2wRd/Zeka0nVmVMBPyH9kHo/PGIeXYJKr7cjqqN+pLSBox7czjTdnVEyPzxgEwmJu22xaysQaMVllO77xQqVm5D0NThCJ41+qa/23qfM1YQFsuXL8exY8ewbNkykz5Pn6NKXYZHUlKSuatkGIaxKkq53qxvLg0nL4laFYFjBwoXCD205VXib1RPgV5LGg2UsRHw7hmH2r0nrbJeU7H28qkmBLl1tLUNNllPd5dTn5mF4re+FIIu8rFb2v2Mt433OdNNV0heXh5+8pOfYMuWLfD17Tha2pgXX3wRzz//fMtrsliwuGAYxpEkB+qzNsyFalaQgLj2wj9v+lvlNzvFI+G1p+DTMw6SWiMexvSwcL2mkmTl5esaVNDV1EMRfCMgklwXcVbq4ErHwZxGb8Y0XsrD9Tc+h0+vBEQ/u6QlBsQY6jfSKyjCCiNlbCYsjh49iuLiYgwbdqMKmlarFa1p//3vfwu3h6LNwfXx8REPhmEYZyElMBw+Ci/R9Moc/Ab2RujCCa1SMzWlVSj/ZAMCJw9FwIh+otomZY00Xb2OwPGDWrUlT/APgS2J8wtCiNIXVer200U7c/FAq4Pcr/W1uuKr7SKQ03/wjYDI1OAIse+sQUZ4nEUlvJvyi1H0p0/gFRWK2J8vFZaVdpEBA8Pjuj9QxizMOjumT5+OU6dOtXrv4YcfRnp6On7xi1/cJCoYhmGcEcpoGB2VjL3XL7fq+EkxEbr6Bmgr9JkVVRv2oWbPCUgN+gwSCtqUKfQe5JA5Y0WGyJUn/9RizaB00/LlW1Cz8xjk/j4Iu32Kfn0yGcZG97B5225a/riYFGzOP9/pdtUdOw9NswuHtoNcHfkvvqkP2IyPEu/XZ15Cw/GL8BucBv8R6S3bMSHGegWnBobFwUfuBZVOY/JYKeaj8NWPoKttQOiCCag/fqHVMpUx4SJbhyBryOjoHlYbL2MDYREUFISMjIxW7wUEBCAiIuKm9xmGYZyZ+1KHY1ebks9V6/ZAU1rZ8rrpSutUxfpDZ8WDoNLdXuFBCBybIWpaNGRmoeFklkjbpAk69LYpwnpB0CR/f6q+KqetuTd1GDZcO9fpdrXdDnmAL/yH9kX9qWxoqV+IToJXTDjClswUk7esObWUtmNJ76FWG2uA0hu3pwzEypwTLUKoq7GKcZTphUb5F5tvWmbgpKFCWJCESwuJwuDweKuNlzENLunNMIxHMjUuVbgmCuurW8zxyf9+wezlRD95h3h0BN3lUywBWRLsAVlGUoMjcbmmrGWyNmW7on+8uNO/660uPdEr2LoxC0tTR2B59o3mZ6aMtdfyrssc0JY/2ne0za1EzM10u8LJjh078Pe//727i2EYhrG7O+T1UQu61abbFMgc/6dRC0XvCntAE+mfaLssDIrsCC+ZHH8cMRfWpm9oNB5LH9Ncv9Q6kAgaGZmE23tyAUdHwL1CGIbxWMbG9MSDaSOsOqm15Yn0sRgWmQh7MjgiAU/2H2/VZf566EyLs2m64rmMySJ7w7jHiaWQgKO4jT+Ntp+YY1rDwoJhGI/mV0NmYlZiX5uIi1uSB+CFQVPhCGiyvq3HQKss64f9xomYFFtBWSYfT7kXMX6B3RIXJCSoNsYHk++xmQhiuoaFBcMwHo2XXI5/jr0dD6aNbKl90B1ocqMlPJ4+Bn8ZfYvD7pppvXTX/mS/cWI85o6D3Ank/vj1kBl4YaA+u8WWxPoHY/WMh5ARGmNR8xA6btG+gfhi6v0YEcW1khwJCwuGYTweEhf/N2wWPp1yX0vxJ5mZMQqKZkFCPTSWT3sAvxw83SqNuroDiQmymKyc/iCSm3t7dLVdBotBv9AYrJ39GB6xYwBktF8QHtfFY0SxFl6SvjupzEQhd0/vodg894fCDcQ4FplEidh2hCpvUmnvqqoqBAdbp3obwzCMtVCpm/Dc22/gVIAGZcFK0XSrKxQ6CUOCY/CjYVMxKba3U/r2G1UqPP/WX3AmSIfSEG80GtWOMC7iNTm2F5amjcCIyCS7Z1SUlJTgnXfegU6nw61LFuOkvA4rsk/gYlVJu0G2lNVza88MLOk9DPFWqgbKdH/+5nRThmEYI3KyshFT0YRUTRB+8vCzyK0tx9XaCjTptPBVKBGk9EF1U6Mo6uQt98LV46dx+chJjBwRjylxN9qkOxsXL1xATLUG6YowPPXIj3G1rhK5NeVo0mnEdvUOjhATtaPSM+ked8OGDUJU9O3bF4P79sdgAA+kjRTNyi5UFYu28yQwgpW+wqIS7G1aawnGvrCwYBiGMcJQXXjgwIHCldE7OFI8OuJMhQq5R07i2rVrcGYyMzPF/4MGDRLblRIULh7Owrlz53D58mVRwXn27Nmt/ubrpWQXhwvBMRYMwzDNNDY24uLFiy3CwhSSk/Xlo69fvy76JTkjNTU1yMnJaREWzoZarcbmzfoqmuPHj0dYGGd0uDIsLBiGYZo5e/asaKwYHR2NmJgYk1sdkN+ZTPn5+flwVisMjS8xMRHh4c5jpTCwZ88e4ben/Thhwo0mb4xrwsKCYRimHTeIObEGBqtFXl4enN0N4mxUVFRg79694vmsWbOgVHbQqZRxGVhYMAzDUPOrqirk5uaa5QYxQJYAZxUW5KKhh1wux4ABA+BsbNq0SViJevXqhX79+jl6OIwVYGHBMAwD4PTp0+L/Hj16CJO8ORgsFhTASVkNzmit6NOnD/z9/eFMXLp0CRcuXBCiZ86cOdwwzE1gYcEwDNPGDWIuFJPh7e0tgjepFoOzQCLHsF3O5gbRaDTYuHGjeD5q1ChERUU5ekiMlWBhwTCMx2NwF1CqY//+/c3+Pt1xO6M7hFw7lBHi6+uLtLQ0OBMHDhxAeXk5AgICMGWK7UuGM/aDhQXDMB6P4a6eJl8/Pz+LluGMwsLgBqHYCi8vL6eq4Lhr1y7xfObMmfDx8XH0kBgrwsKCYRiPhtIwu+MGMZCUlORUwqKpqUmkzxKDB1MNS+dhy5YtonYFiTFnc9Ew3YeFBcMwHs2VK1fEHTTdNVOAo6UYLBaUPllbWwtHc/78eTF5U7Epw9icZX8bAmXnzZvHAZtuCAsLhmE8GoO1gmIruuMuoDgGCuJ0FquFce0KZ5m8KZh0/fr14vnw4cMRFxfn6CExNoCFBcMwHgtlJhjcBd1xgzibO8RZS3gfOXIExcXFIo5l2rRpjh4OYyNYWDAM47FQHQXqD0ItoHv27Ok2wsIZS3jX1dVh+/bt4vnUqVOdrqYGYz1YWDAMA093g2RkZFjFXWAolFVQUCCsIY7CGUt4b9u2TYi42NhY4QZh3BcWFgzDeCSWdDLtitDQUFGXgWIJSFw4Amcs4U374vjx4+L53LlzxdgY94WPLsMwHoklnUy7gqwejm5I5mwlvMklYwjYJAuKYf8w7gsLC4ZhPBJLO5k6c6EsZyzhfeLECdFOnkqez5gxw9HDYewACwuGYTyO7nQyNSeAk+7WPbmEN7mbKLaCmDx5MoKCghw9JMYOsLBgGMbj6E4n066g2gzUc6S+vl70wvDkEt47duwQ2SAREREYPXq0o4fD2AkWFgzDeBzWKOHdETShx8fH290d4mwlvKlexaFDh1oCNklsMZ4BCwuGYTyK7nYyddZ6Fs5UwptcQBs2bBD/p6eno3fv3g4dD2NfWFgwDONRWKOTqTMKC2cq4U2WE4r3IOvN7NmzHToWxv6wsGAYxmOwVidTU4VFSUkJGhoa4EklvMkls3nzZvF8/PjxorYH41mwsGAYxmOwVifTrqAiWYZS2teuXYMnlfDevXu32MckKEhYMJ4HCwuGYTwGa3UydTZ3iLOU8KYsmP3794vn5AJRKpUOHQ/jGFhYMAzjEVi7k6mzCAtnKuG9adMmUc2UgjX79u3r0LEwjoOFBcMwHoG1O5maKiyo6iRNtu5ewpv6rtCDBM6cOXMcHkDKOA4WFgzDeATW7mTaFVFRUaICJqWAkkXBnUt4kzWIrBXEmDFjEBkZ6bCxMI6HhQXDMG6PLTqZdgWJF1v3Dbl8+bJTlPCmuAqKrwgMDMSkSZMcNg7GOWBhwTCM22OLTqbOEGfhDCW8qe8KZYIQM2fOFBk3jGfDwoJhGLfHVp1MHSksqF7EuXPnHF7Ce8uWLcLdQ+3Q7WUNYpwbFhYMw7g1tuxk2hUJCQlCyFBdBxqHu5XwJlfMmTNnxDZSPxAO2GQIFhYMw7g1tuxk2hXe3t6IjY21idXC0SW8KXB048aN4vnw4cNbtpNhWFgwDOPW2KOEt73dIc5Qwvvw4cOigyn1W5k2bZpDxsA4JywsGIZxW+zRydQRwsLRJbzr6uqwfft28Xz69Ok2a+bGuCYsLBiGcVvs0cnUVGFRVFQkAi7doYT31q1boVKpEBcXh6FDhzpkDIzzwsKCYRi3xF6dTLuC4jqo2ieNh6pwunoJb2qqduLECfGcAjZpHAxjDJ8RDMO4JfbqZGpvd4gjS3iTONqwYUNLiqthuxjGGBYWDMO4JYYJ2B6dTO0lLBxdwvv48eMoKCgQ2S4zZsyw+/oZ14CFBcMwbgf1rjAUj3KGok0GYUFuBLrrd8US3g0NDdi2bZt4PmXKFFG+m2Haw7EynmEYxgI0Wh12XbiMQzl5OJVXhKtllVBrdfBVeiEtJgKxfl6orFcjJcQ+nUy7QvL1R5bkh5JqYPNr76NerYEMMkQE+mNQciwGJ8Vh9qA+UGu02HTqotimzLwiVNY3QoKEMH8/DEyKhVReDLkkw3ArlfBWa7XYef4yDudcQ2ZeIfLKq6DV6uBD+zE2EgMTYzE5PQWDkmKxY8cO1NfXi+Zqo0aNssp+YdwTmdQd+WwB5POkYCaqQkcBTQzDMKbSpNHgoz3H8Mne4yirrYeXXA6NTtfqM7LmB70b4++D5xZMxYIh6Q4pInWuoBj/2rJPiCCIKy3JhNbjUMhl0Opavytvfq/V52QyaCWd+NzE3kn4+aLpSImyLNVUpdbgg91H8em+46ioa+hwPxrG0SsyBDFVRUiUq/HAA0vRq1cvi9bLuDamzt8sLBiGcQnO5F/HL1ZsRG5JuX6ONgGaHOmz49N64A93zERsSBDsQZNGi3e3H8R72w+B9ExbkdBdSIzIZTL8ZNZ4PDBhGBRmZGaQJeSXKzbganklzL369wn2xXtPLUVUMLtBPJFqFhYMw7gL35/NxnOfrRPxCVoLLlk0EQf7+uLDJ+5EakwkbEl9kxo//ngNDmXnmSyAusOsjDT8aclcKBWKLj9LbpafLV8vBIXOgv1IYiY8wA8fPL4YvaLtX5iLcSymzt8cvMkwjFOz79IVPPvZWmh1OotEBUEWg+rGRjz43irklVfClrEfz3zyrYhZsNcd25bTl/CrlZu6DArddf4yXvhiPXQ6ySJRQdD3Kuob8OB7K1FQWW3hiBl3h4M3GYZxWsj/LyZDslQ0qVB6cDsaCq6gofAqdI0NiJ+3BKGDbg4kVJVeR9G2b1B/7TJkCgWCevdHzPRF4m8/X74Bn/7wbrPcB6bywe4j2J91tcO/NxTloXjnejTk67ut+sYmwTs8Euqqik63iba58tRhNBRcRWNJAeWdov8v/yr+RhJhfeYFjElNxh0jM9pdb2lNHX6+YoMQH+1JClV5CUp2bxD7S9tQD2VwGEL6D0XE6KmQK71vEmlVDY14ceVGfPDYYhGHwTDGsMWCYRin5dVvt6O2USVM95r6OpTu3YymsmL4Rsd3+B11dSVyP/s3mipKET15HiJGTUVN9llcWf4ONGq1iDH4bJ++cqQ1ybpehn9v2d/h3xuKriH3039BXVmOqPGzETl+JpoqSlB54gBUJYWdblNN9jlUnDwogka8QyPa/cyydTtQVFXT7t/+uGYb6pua2hUV6uoKXP7o72jIv4LwYRMQO+NW+CX0QMmeTbi25pN2l0fi4sjlfKw8pK8VwjDGsMWCYRin5EpphbgTN+AVGIw+P/6d+L+hMA+XP/pbu98r3b8VOnUTej30PJQhYeI9v/hkXF3+jrjrDxsyFu98fxBLxgyGt1fXcQmm8t+dh0XOR0eQRUDmpUTPB56Bl1+AeC8ofQhy/vMn+MX3QOTYGR1uU/iw8YgcM01YDwo3r0ZTeclNn2lSa0SWxwtzJ7V6P+t6Kbaeye5wXJWnj0KnakDP+5+Gb5S+9TntI1JzVaePQNtYD4Vv+xU+39p2AHeOHAgvBd+jMjfgs4FhGKdkxcFMkWJpQO7lJURFV1RfyERQav8WUUEE9uwD7/AoVJ/TWyrIlL/1TJbVxlpZ14D1Jy90mv1Rn5cjxmEQFYRPSDgCklNRm31WiKGO8AoIuskl0RaKP1l18BQa1ZpW7y8/kCmCVztC19TYvI7WmR5iX8tkkMk7Fl+U8rvjvL59O8NYJCzefvttUUaWokHpMXbs2Ja68QzDMNZETNRmBhmqayqhra8VsQtt8YtLRuP1/Jbshs2nLlptrDsvXL6pDkRbJK1GWCzaIlcqIWm1aKos7fY4alVNOJyT17q3R2bngicgubf4v2D9CrF/yDVSde44Ko7vQ/jwiZB7+3T4XRJ+m09d6va4GQ92hSQmJuK1114TpWTphP3oo4+waNEiUT/eEV32GIZx36DNkpo6s7+nqdXHGLRn2aD3yKyv02gALy+czCuCtThz7Xq7RaaM8Q6PFkGYkk4HWXPgKIkNCsgktHW13R4HWSbO5BdjYt8U8fp6da2o3tkZgb36IWriXOFCysk60/J+5LgZiJ40r9PvkvA7mVfY7XEzHiwsFi5c2Or1K6+8IqwYBw4cYGHBMIzVuFB4cwyBKeg0avG/THHzpc3wnkSf8fJCcXUtahpVCPLt+I7cnAqbXVkswoaNR9GmL4VlIHLMVHFzVrpvC9S1+rRNnba1C8MSyMBjvO8uFppmBSG3kX9SLwT3HQSFX4BwzZTu2yZcMGS16Iz88irhfqFy6gxDWHwmaLVarFq1CnV1dcIl0hEqlUo8jAtsMAzDdGXStwR5s6uBLAFtMbxn7I6oUzVZRVhUN9y4xnVE+NBx0FRXipTZqtOHxXvksiGRUbpva5cxFKZAabm1RtdbU/Zj1dnjKNy4CqlPvAhlcKh4jwQGCZ/rO75DcP9hreJC2kJOlnpVEwsLpgWzzwRq2UtCorGxUXS3+/rrr0Vb4o5YtmwZfv/735u7GoZhPBiKgbAEr0B9yW5NsxXAGHqPshsoCNSAcXBodzC1loNIfx09BaqSIsh9fEWK6fWd34m/GSb17qKQ3Qid6yxo00DFsb3wjUm4af1BqQNQdeqwiLugoNPOkNugJgjjuph9NvTt2xcnTpzAwYMH8eSTT+LBBx/E2bNnO/z8iy++KMp/Gh55eTcCixiGYdojJsSyXhTKoFAo/APRWHTzdYYKUPnEJLS8ppiIEH8/WIP40GDRE8QUSNyQ28FQt6Iu9yK8gkKhDOl+iWzapmijfRcV1LGlwYCmvgaQbnbjUCyIQKft9PuUshvk231rC+PBwsLb2xupqakYPny4sEYMHjwY//jHPzr8vI+PT0sWieHBMAzTGdT63JS77fYgM35N1lmR3WCgNveiqP0QnD645b3UmAir1bEYkBhjkZWFsi8aC/MQMWISZEaWBkuhsucZCTEtr9Pjo7sUPN5hUcIqoSovbvV+9dljIt3UJ6rjwl1iHXFRNqliyrgu3XaK6XS6VjEUDMMw3cXbywv94qNFR1PjjNPyo7uhbWyEprZKvK7JOgN1jf55+PAJUPj6IXLsdFSfP4ncz98SE7ZOrS8F7hMVh9CB+lLZJFqG97xhveguw3rEd9nBtO5qtqgcGpDSFwo/f32Z7szD8I6IEWOszDzY4TY1VZWj6vRR8Z7BGlOyd0tL4GVoxgjxnEYwpMcNIeDvrURaTCQuFZV2WLqLynbX5pxH7qf/1q+Pgjezzoj3QgePhjIopMNtsvZ+ZDxQWJBbY+7cuUhOTkZNTQ0+//xz7NixA5s2bbLdCBmG8UjuGjUIv/1KP3kaKDu4o5UloubiKfEgQgYMF5Mw9bnoce9TuP79GhG/QAWeglL7IWbaopb4ChIBt3fQV8MSRvZKRGxIIIqqOk4ZFRO0XI6yg9uha1JBGRqO6ElzRb0IKp/d2TZRGXCq3GmM4bV/Um8hLMgykR4XjT6xkTftx1e+/b7TOhYpS58WY6B4C01DPbxDwxE1aZ4ILO0MsR9HWG8/Mu6BWW3TH330UWzbtg2FhYWidSoVy/rFL36BmTNnmrxCbpvOMIwpNDSpMfnV90TmhjWhu+yMxFh8/uQSqy73f7uO4K8bd7eysNibV+6chVuHt079p14rU159Dw1tKnJaYz8O65mADx9fbNXlMh7WNv2///0vcnNzheujuLgYW7duNUtUMAzDmIqftxK/XDDZ6sulif83t3R+J24J940dgqTwUIszWrovlmKwcGi/m/4W6OuDF+a17h9iLX690Pr7kXF9OOKGYRin5bbhAzA+rYfV0kJpKY9PGYX+RgGO1sJH6YXX7prTaSMyW0DbRGJm2eI5HQZRkjtkREqixQGx7fHUjLFIa+N2YRiChQXDME6LTCbDn++Zh5To8G6LC/r2zIw0PDVjDGzF4OQ4/PGOWbAXsuZ99Lf7FqBXdHindTb+ft8CYVGxhrhYMCQdj0/WB8IyTFtYWDAM49SE+PnioyfuwsAkfUtvczHokdtGDMCfl8yzeWokWVlev2sOvBUKq1oI2kLL9vVW4s0HFmFqP30jsc4IC/DDJz+4S2TbdGc/3j16EF5dPNvkomCM52FW8KY14OBNhmEsrdHwyd7j+PumPSIbgcpXd4Zh2gvx98Ufbp+J6QNSYU+ulFbglys3IjOvSFhbzO3U2pmgoO0fl5qMP9wxC3Gh+mqjpqLR6vCn1evx+XF9d1epZU+1D/2VRh4e4IeX75yFyem9ujV+xnUxdf5mYcEwjEtxvaoWXx4+hS8OnBRdUA0VJwmKbzDUk+gZGYb7xw3FwqHpIoDREeh0EvZczMVn+09g78VcMUGLO3+JpnOZeC01i4XRvZLE2A9fviZEE33OUJ6bXtODYimm9++NJWMHi8+TG8T8Menwzjvv4EpxKTQJqThQVNXSAbW9/dgrKhxLxw/F/CHpCPDhCpueTDULC4Zh3BmatHNLK3A2/zqulldBrdWKRli9oyMwICFG1JWwZOK1FdUNjThXUILdmWdx4OhxBAUFYtakiRiQEI0+cVEtTbwovfZ8YQnO5Rejsr5BCI8wfz/0i48SlTS7O7lnZmaKHk++vr74yU9+AqW3d/N+LEZeWSXUOh38lEpRmbR/QjRigp1rPzKOw9T5m9vRMQzjkpCPnwIWOwtadCaC/XwxuncSwrQNqMs8gPjwCNwz9kaJcQMkHKiapS0qWlJX6p07d4rn48aNE+KCIDFGD4axBhy8yTAMY0fIFeGojqAnT55EeXk5/P39MXr0aLuvn/EMWFgwDMPYEYP32d7uBY1Gg127donnEyZMEA0lGcYWsLBgGIbxAIvFsWPHhG88KCgII0bom5YxjC1gYcEwDOPmFgu1Wo3du3eL5xMnToRSqbTbuhnPg4UFwzCMm1ssDh8+jNraWhHRP2zYMLutl/FMWFgwDMO4scWCmkbu3btXPJ88eTIUCoVd1st4LiwsGIZh3NhicfDgQdTX1yM8PByDB9+c3sow1oaFBcMwjJtaLBoaGrBv3z7xfMqUKQ5JcWU8Dz7LGIZh3NRisX//fuEKiY6ORkZGhs3XxzAECwuGYRg3tFjU1dUJN4jBWsFluRl7wcKCYRjGDS0WFLDZ1NSEuLg4pKen23RdDGMMCwuGYRg3s1jU1NSIFFNi6tSpbK1g7AoLC4ZhGAdYLGw52VMxLCrhnZSUhNTUVJuth2Hag4UFwzCMAywWtnKFVFZW4ujRo+I5WysYR8DCgmEYxo1cIdRojKwiKSkp4sEw9oaFBcMwjJu4Qqgl+okTJ1qsFQzjCFhYMAzDuIkrZOfOnWL5aWlpIr6CYRwBCwuGYRg3sFgUFxcjMzNTPGdrBeNIWFgwDMO4gcVix44d4v9+/fqJ2hUM4yhYWDAMw7i4xaKwsBDnzp1rqbLJMI6EhQXDMIyLWyy2b98u/h84cKDoC8IwjoSFBcMwjAtbLPLy8nDp0iWxvMmTJ1tlmQzTHVhYMAzDuLDFwmCtGDJkCCIiIqyyTIbpDiwsGIZhXNRicfnyZfEgkTJp0iQrjI5hug8LC4ZhGBe0WNByDNaK4cOHIzQ01CrjY5juwsKCYRjGBS0W2dnZIr7Cy8sLEydOtNLoGKb7sLBgGIZxMYsFLeP7778Xz0eOHImgoCCrjY9hugsLC4ZhGBdrQnbhwgVRu0KpVGL8+PFWHB3DdB8WFgzDMA5whVhqsTCOrRgzZgwCAgKsOj6G6S4sLBiGYVzIYnHmzBnRF8THxwdjx4618ugYpvuwsGAYhnERiwV919ATZNy4cfDz87P6+Bimu7CwYBiGcRGLBXUvLSsrE4Ji9OjRNhgdw3QfFhYMwzAuYLHQarXYuXOneD5hwgThCmEYZ4SFBcMwjAtYLI4fP47KykoEBgaKFFOGcVZYWDAMwzi5xUKtVmPXrl3iORXDojRThnFWWFgwDMM4ucXi6NGjqKmpQUhICIYNG2bD0TFM92FhwTAM48QWi6amJuzZs0c8p0ZjVMKbYZwZFhYMwzBObLE4dOgQ6urqEB4ejsGDB9t4dAzTfVhYMAzDOKnForGxEXv37hXPJ0+eDIVCYfPxMUx3YWHBMAzjpBaL/fv3C3ERFRWFjIwMO4yOYboPO+sYxkpotTqcOp2H8xeKkJ19HdU1jaC5IzwsAGmpsejfLx59+sR2u10243pCIiv7Os6eLcClS0U4cbIc9Q1eyC/ci+DgTGg0Wnh7K+DlpUBMTAj6pMViYEYiwsN9ceDAAbGMKVOmdKsbKuO8lFfUITPzKi5eLELetXKomjTw8fZCYmK4OBcGD0pCeHggXAkWFgzTTaqrG/DNmqNYs/Y4KirqIJfrhYNOp78zVSjk2LT5FOhGlS4Wt986HPPmDoa3N//83Bm1WiuO+1dfH0HulVIhMklU6s8LBSorywDQ4wZ0rpBAJZISAxEUqEHGgBj069fPQVvB2Ipz5wqwavUh7Np9QZwTxseeMLym68mE8X1w5x0jkTEgEa6ATDLY5exEdXW1SJmqqqpCcHCwPVfNMFZn776L+PMbG1Bb29giJDrDYKwggfGrXyxE375xth8kY3eysq7j1dfXIjdXLygsu8rSl2Tolx6Nl/7vTkRH8/XSHWhoaML7/92Bb9Ycg0Ihg1bb9clh+NzCBUPwg8enwt/fMVVXTZ2/WVgwjAXQz+bd97dj5apDFk0cdBdC33nh+TmYO4cj/d2Jbd+fwbLX14E0pNYEsWnKueLjo8Trr96FjAzXuGNl2qekpBrP/+wLFBRUtsTamHsukLvsjT/fg9iYENgbU+dvdtoxjAW88+73QlQQlkhzsm7QhYWsHRs2Zlp/gIxD+H77WbyybK04vtYQFQQtS6VS44VfLMfZs/lWWSZjf8rLa/HMc5+iqMgyUWE4F4qLq/CTZz9FSWkNnBUWFgxjJjt2nsOq1Yettry//n0DsnOKrbY8xjFcvVqG1/60zibLpgmFgjx/89Jq4XZjXAtJkvDyq9+itLTGJNdHZ9D3yytq8ceXvzHJ/eoIOHqMYcyAgjP/+veNHbo/KspzcOLY++1+d9jIJxESknzT+7ScZa+txTtvPSQyAxjXg4Lslv1pbZd3ojXV+bicsw1VlbnQaEggdPz5cRN+CR/fG+ZumkQoUPjNt7biFz9fYNXxM7Zl3XcncOLkVZM/n3t5Oy5nb0ZAQAxGjX22XXFx+kw+vvn2KG6/dQScDRYWDGMGK788hPr6pi7dH4lJ4xAU3Nof7ucX0e5nacLIuVwizOizZg605nAZOwbxXrhQ1OlnyssuIvPExwgKikfPlGloaqpBXW0xJEiIiTXE2Ui4cO4b+PqFtRIVxufKpi2ncffdY9CzR6SNtoaxJk1NGvznf/p296bQ2FiFK5e3Q6Hw7vKz//tgF+bPHSxicJwJFhYMYyLk51637oRJ5seQ0J6IjhloVlDW198cZWHhotCxo2PY0blB1olzZ1YhIjIdGYPuhUzWvhe6sjIXOp0aMbFDOs0QWLvuOJ5+aqbVxs/Yjl27L6CmxnT3Vfal9Qgmy6akg1pd3+ln6SZn+45zmDN7EFw2xmLZsmUYOXIkgoKCEB0djVtvvRUXLlyw3egYxok4dDgHdfUqkz+v0aig02lN+ixNSBcuFiE/v6IbI2QcAfnNT2bmdSo4rxedRFNTLXqlzhKiQqslq5eunc+dECmmnQkLMoNTfQxn9a8zrdm85VRLbZuuqKy4jJLi00jra5qri+qi0LngbJhlsdi5cyeeeuopIS40Gg1+9atfYdasWTh79iwCAgJsN0qGcQLOXyi8qYhNh589+6WYPGgSIetF77S5CG7jGuloHQkJYVYaMWMPLlws7PIzFeVZUCh8oGqsxqmTn6ChvlSYumNihyK1z3woFEohQkuunxJxOH5+YV3eqRYWVvK54uRIkiQKYZkiAkloXrzwLeLiRyAwMNbk5dMNCS3fVPHidMJi48aNrV5/+OGHwnJx9OhR0c6XYdwZKrnblaiQyxWIis5ARERfKL39UVdXjLwru3H8yLsYNuJJBAXHd/hdEi2XsoowfVp/G4yesRWXLl3vUnDW15eKiePUyY8RlzACYamzUVGRg/y8/dBoGjBg4D0iBoNM3zFxHVsrjLl4qYiFhZNTXFKNuvomkz6bf+0gVI2VSBn2qFnraGxUO53I7FaMBRXJIKidb0eoVCrxMC6wwTCumhHSFSGhPcTDQGRUfyE0Dh/4J3KyN2Lw0Ec6/T5F/TOuRVV1Q0tF1Y4g6xXFTsQnjEafvreI9+i8kHRaFOQfQkrvmcJdIpMpEB3ddZwNrY/PFeenqsq0Y6RuqsPlnC3okTIN3t7m9wWpqqp3KmEh707r32effRbjx4/vtOsexWVQpS7DIykpydJVMoxL4u8ficiofiIVtT2/OuP+KOT6qP0b2R96DLEUleU5KC05i/CINCi92a3saeRkb4HSyx+JSWPhDlgsLCjW4vTp01i+fHmnn3vxxReFZcPwyMvLs3SVDONQwsIsv+D7+IZCkrTizrUzgoP9LF4H4xhCgv26TD/29gnS/9/mbtQgIiorL3eZDWIMrY/PFecnJKTrY0RuMrJaUYq6SlWDhoYK8dDpNNBJWvG8q+yQkBB/OBMWuUJ+/OMfY926ddi1axcSEzsPSPPx8REPhnF1qOU5FbkxJXizLY0N5ZDLvTrNTaflUnt1xrVIS4vp8pwICk4QAZwqVTX8A6Ja3m9S6csy19YWiXODLFumQi21GecmOioYAf7encZZUEAv1S+5dHGteLTlwN4/CdGR1ndhu9/39VUiLi4ULissKAL16aefxtdff40dO3YgJSXFdiNjGCcjvW9clxMIpRS2vSutrSlEack5RET06bB+gfE6GNeib5+uj1l09CBczd2JwoLDCAvv3fJ+QT6Vhpehvq4Y0TGDTSqKRPj7eyM+3rkmE6b9dNB+/eJx7PiVDjNDAgJjkDHo/pvev5y9BRqtCml9FsDPP6LD5fftE+tUGSFmCwtyf3z++edYs2aNqGVRVKSvNEexE35+bJZj3JvRo3ojIMAHdXUd17I4c+oLyOVKEcDp7R0gKiuSmZPSCXulzel0+YmJwYiN5Y6/rkZkZBAGD0rCqdPXOpw8KBuI0ggLC46IOJvQ0BRUiJoFpxAWniqsGaZmg1CBrNmzBopJhXF+Ro1MwpGjuR3+na4TUdEDbnr/2tW94v/2/mZ8s0/ngkvHWLz99tsiTmLKlCmIi4treaxYscJ2I2QYJ8Hb2wsL5g/p9O4gKqo/1Oo65F3djYvn16D4eqa4MAwf9RQCAqI7XX6AXxn+9a9/ifRtrda0wlqMc3DbrcO7rFXQJ/1W9Ow1HdVVebh08TvU1hSIGhZarQpK70CEh6eatC4qkHXLgqFWGjljK4qKirBy5UqcytwKLy86N6xf0IwsV1OnmO4+sxcyydL+rTbu584wzppy+uAj7wmrhbV+OSRUoqP8MXSwCvX1+pRW+o1MmDABQ4cOhULBjcmcHXKR/fgnHyMr63q3u1d2da7MnD6Am5A5uaDYuXMnzp8/f+NNWSJ27i6x+rp+/NQMuzYhM3X+ZmHBMBa0Tf/Dy2ustjwybb/z1sNITgoT1oq9e/eitra2lcAYMmQIvLy4tY+zt01/7Af/hUajs5mooOj/j/73OAIDfW2yDsa6gmLAgAGieGRUVBR++rMvkHnqKnQ661wz+vdLwN/euM+u8RUsLBjGhrz9zjasWk2Bd93nZz+dh7lzbjQRUqvVOHbsGPbs2dMiMOi3YrBgsMBwXqhD7cuvfmv15dLk4eWlwF//fA/690+w+vIZyyksLBQZksaCIiMjo0VQGFi3bjPefOco9PUiZd0SFeFhgfj3vx5AVKQ+jdlesLBgGBtCP5t339+OlasOiSqI5v6KaKKg77zw/BzMndO6aJIBFhiuybbvz2DZ6+vEc2s0CqNzhdpiv/7qXcjI6LrfDGM/QUEWCuNGnO0JCoKyKOmzJCpOnlKioVFu8bkQExOCv/7lHsREh8DesLBgGDuwd98l/OWv61Fd3SjEhimQEElMDMevfrEQfU1IL6WGfwYXSU2Nvu4B/Xao6u2wYcNYYDgh2dnX8epra3E5t9Qi4UkYvhceJuGXP1+IESM6rnDMOKegkCRJiAqyaBjw9w+C3Ksvvlt/SlgfTInJMfSioaDdJx6fAn9/x9SGYmHBMHaCejas+fYYvvn2mAjuNPg8DXerxg2qIiJ8cf+9k4Trg7JMzIEEhsGCYRAYlPZNFgwWGM6HRqPFxs2n8NVXR5B7RS8wKEW0MyuG8bkyMCMR0VGNUDflQ6n0wpIlS9C7940aGIzjBcXAgQMxceLEmwRFR6LC29sbjzzyCGJiYkTX01WrD2H37gvQ6qSbGtkZXtP1ZOKEPrjj9pHIGOBYixULC4axM3QROHU6T7Qxzs4uFs2p5DIZwsL84eerxpXcTFG984knnujWelhguBZ0ic3Kvo6z5wpw6WIRyivq0KTWQqPWQqlUQK3WwttbIWIoYmNDREVNmkDIqkXHetWqVbh48aLIDiJxkZpqWloq4xhBYTjm27dvx+7du2GARCUdvz59+sAYOh8yM/NEt9q8a2VoUmnETUdSYri4XgwamITwcPMbk9kCFhYM40RQjMQbb7whnj///PNCCHQXmnSOHz8uBIahazAtl1wkw4cPZ4HhJlBNky+//FIEB5K4uPvuu5GWluboYbk9BQUFQlCQqDMIA4PLIzIyssPvSe2ICmL27NkYM2YMXBkWFgzjZPznP/9Bfn4+FixYICZ+a9GewAgMDGyxYCiV+s6ajGuLi9WrV+PcuXNCXNx111033fkythMUBgtFZ4KCoOn0+++/F79FQi6Xi07gI0aMwLx581y+WioLC4ZxMugOhi46NCHcc889Vl8+CYwTJ06I9RgLDIMFgwWG64uLr776CmfPnhUT1uLFi5Genu7oYbkN3REU7YkKHx8fqFQqERdz7733imPm6rCwYBgno7i4WJTFJxfFz372MxHIZQsMAoMucPQ7I1hguI+4oCaQZ86cERPVnXfeiX79nK+ksytBVkQSFJcuXWolKMjlERHRfvOvttA0um3bNpG5ZXBJUvwTxWBQsKavr3sUNGNhwTBOBv3U/vnPf6KyslL4yW19t0mTkMGCYRAYAQEBQmCQaZYFhmtCpnUSF6dPnxbi4o477kD//v0dPSyPFBTtiYro6GhxE+Hv74/HHnsMYWFhcBdYWDCME7JhwwYcOnRIFLi65ZZb7LJOFhjuKS6++eYbnDp1SkyIJC6ofDRjmaAYNGiQcHmYIygImj63bt2Kffv2idcpKSm4fPmyiIN58MEHkZSUBHfC1Pmbw8YZxo707dtXCAvy49JFyR7BXHSRIxcI9Rs5efKkEBhkNdm8ebO4yxo3bpwQGLZyzTDWhywVt956q/ifjikFdtL5RFkLjO0FRXuigvY9WZGIRYsWuZ2oMAcWFgxjR3r06CGCuurq6sSFLjHRfgVvSGBQlsjgwYNbCYwtW7aIiyMLDNeCRAVZvWiCJIsUBXbSZEfmfOYG165dE4IiKyvLKoKiPVExatQoHDlyRDyfPHmyxx8DFhYMY0docqcCRxR8RwV37Cks2hMYmZmZojKgQWAYLBgjR45kgeFi4oJSjin2giY9mjg9nfYEBZ3zJCjCw8MtXi7tX/qt7N+/X7ymmAyyQpJ7iqwWkydPhqfDMRYMY2doMqcJgIK8nnzySUcPR8Rg0JjIglFRUSHeo8AzFhiuA13G161bJyqyEuQmoUnUE7GVoGhPVMyYMUP08aHfDd0kUFyFlxsXpuMYC4ZxUqhqIl3sKHKcLkiOjhonCwYFk9JdLgUDkgWDxmUw9Y4dO1aYellgOC90PlHhNfqfJjoK7KQ7aDqunkJeXp4QFNnZ2VYXFAZRQXFJBw4cEK/nzJkjCpbRbyU0NFSU63ZnUWEOvBcYxs74+fmJWIvc3FwRxDl69Gg4AyQwKMCTBIbBRUIXTUqlM8RgkAWDYkQY54Mm0vnz54v/yd//7bffismQ3F7ujK0FRXuigvYzWUauXLkifg9U8I4yrRg9LCwYxgFQ9U0SFhRn4SzCwthvbxAYBgtGeXl5i8AwWDBYYDgfNKlS6Wg6huT3X7t2rZgUrVlC3tkFBcU8WNMKSPtv06ZNOHjwoHhNlqH6+noRAE3rpCJl5NZkbsDCgmEcJCzoDojueBobG52yMh9NTnShpgh3Y4FBZYvJx8wCwzmhyY7M9PQ/TYYUe0FuEbI2uaugICFMFgpruxXbExVkcaR9SsydO5e7zbYDCwuGcQCU5kb9B0pLS0WQmTPXH2CB4XrQZEvdNOl/Mt+vX79eTJJ0nFyVq1evCkGRk5PT6ry0haDoSFTExsbiww8/FK9pX7qLWLM2LCwYxoFWCxIWFGfhzMKiPYFBhYBIYJSVlQmBYXCRkFuHBYZzQKJi1qxZ4rjR8aGqrzRZOpvrzdkEBUH7aePGjcKdRCxcuFA0E6MOxdSLhwKwSbgx7cPCgmEcWIWTLvhUCZBSPil40hWgCzvFXxgqDRoExvbt21tZMJzRveOJ4oJSIul/qlFCkyVNmmPGjIGz4whB0ZGooHLpH3zwAWpra0U8BZVQd4dupbaChQXDOAjKe6d6ERQIRn7jnj17wpUwFhhU8IsEBllgDAKDJi+6O2aB4VhIVEyfPl0cL6pVQuZ9irmgLB9nFRQ7duwQPTeMg4lJUFBapy0hUUGWncOHD4vXVHyMxMzy5ctx/fp1kflBLdDZKtc5LCwYxkHQBZNMqhRdTtkhriYsjLeD3CN0V2csMGhyIP8+CwznEBdTp04V/9PxoSJPNIlSIzpngQKZyULhCEHRkaigOiBkvSCrItWooLRSKhDFdA4LC4ZxsDvEICzIH26PpmT2EBhnz54Vk4RBYBgsGPRggeF4cUHHhgqg0WQ6YcIEjxYUBO0HCnA19PugJmI0BnptCN6kaqYJCQl2GY+rw8KCYRwIBYRRbAUVoqJJOCoqCq4OTQzkHunfv78QGHSHXFJSIiYPgwWDBYbjmDJlihAXJPioNgm5Raj2gyMEBY2B6rkYzhuyEJDQsZeg6ExUUDorvU+QIOO29KbDwoJhHAiVyU5JSREpp2S1cAdh0VZgGFswjAUGuUdIYFBdAMa+UKMsOj6U0UMxMTS52qt5FgkJOgccLSg6ExV0nq5atUr83RAwypgOCwuGcYK0UxIWlHbqaLO0LaC7YxIXBguGQWCQJYPMzCwwHANNlnRsyGpBlgODuLCVO64jQUHjcETcAm3vd999J3qrGDduq6urw+effw6VSoXk5OSWHiyM6bCwYBgniLOguybKDKGLmrv2HDAWGNS8iSYZasRmEBiUokqpqiww7AcJWTouFG9Bx4PcIoY4DFsKCupfQut2VCBkR6KCalSsWLEClZWVIqX17rvv5sZiFsB7jGEcDLUfpop+RUVFIvqcTLHuDE1aJC769evXSmBQKqTBgsECw35QZghN9lRino4BTbrTpk3rtrggIUGWEIqlcBZB0V6L+dtuu02kTdP71LiNBD7F/1BaKaWDM+bDwoJhnMRqQcKC3CHuLizaExjnz58XAoNqBRgEhsGCwRd320P7mY4H1bjYs2ePmGSp9oUl4qKtoKDgZEMMhaNTNY1FBW0bWSpIVBBkOaOS9SSAFi9eLEruM5bBwoJhnCTOgiZWirUgc6wnmV/pAk/iIj09vZXAoAmOqh+ywLAPFOdCx4LqNlCVTnKLzJw50yRxQRO2weXhjILCMEbq9nr8+PGbRAVVkCUxRFB32F69ejl4tK6N51y9GMaJiYuLQ1BQEGpqasQF2hM7JhoLDMqQoUmKrDgGgUENn6haJAsM20FuKLpjp5gfqj1Ck3Fn9VUMgoImZaqYaRAUBpcHufmcgbaigtwfVHOFINfHN998I56TgHXHFvP2hoUFwzgBdLEjqwUFk9Gk6onCwnhfkLgg95CxwKC7aIMFgwWG7SABR8eAghspLZgmZUOnVFcTFF2JCgrSpHLd1KuHzjfqq8J0HxYWDOMk0IWNhAXFWZA51tNT3IwFBu0TmsTaCgy6w3TXLBpHMmLECLH/KR6B4l3ILTJ37lzxN6qQSWLP2QUFYQjIPHHixE2iorGxUaSVUq8eCp6+/fbbubGYlWBhwTBOAhXKUiqVqK6uFhMouUcYvcAgcUEWHRIYNKkVFha2CAyDi4QFhnUhlwDte7rbp/4ZVVVVaGhoEK4Dg6Cgz1BWibMJivZEBQkHKthGkFD68ssvRT0VckFSDxAqVsdYBxYWDOMkUMAmlfimAEZyAbCwME1gUOt5mvhYYFgfCr4sKysT+5j2OUF39WTRcFZBYRAOJIjaExUEBahSyW4S8kuWLHHa7XBVWFgwjBNBkyYJC7qIU08HpnOBQXU/SGAUFBS0CAzDpMcCo3t3++TyIPeTwUJhgFKE58yZ47SuOhIVZKmg5n40xjvuuKNVnw9y7Rg6mJJrJD4+3oGjdU9YWDCME0GTJUF34uQS4TuprgNeqfW8scCgbAZjC0ZgYKCjh+pSgiInJ0fsS2OXB4m18PBwcadPqZlkXaO24s4mLroSFXSeUK0OggI1KQuJsT4sLBjGiaC77KSkJHFRJ6sFXdAZ0wUG1QGhSTE/P79FYBgsGCwwuhYUZKG4du2aeI/EgyGGguIQCKqG+vXXXwsXA32HxIWzBDySqFizZg0yMzPbFRVUG4XiKmjcVISORCdjG1hYMIyTQZMkCQuKs2BhYTo0mZC4oFRdY4FBKZPUvZIFhuWCwgBlVNB+/uqrr4RVgL5PHUEdLS7aioo777xTuGwM1NbW4osvvkBTUxN69uzJjcVsDAsLhnEyKH6AOk6Sj5suhBytbrnAoAA9mjSNBUZHk6YnQYKA9g2JL1MEhTEUBEn7ePXq1WIip2VRFUtHiQtjUUFjIEuFsahQq9WiVgVltUREROCuu+4S7h3GdrCwYBgng3oUUGfFiooKcfFnP7Bl0ORH4oIybYwnUQreo3ohnigwOhIUZM0h14Cp+4JcDDSJk2uB+mvQcikQ0t7ioq2oIEuF8e+FxkV/J2FJbhxKK+XmdrZHJtGetyMUkEZ140k9cmAaw7QPBcnRBEi+YDI1M7Yz+xuKO7mzwDAICoP1xlhQdMc9RBlMq1atEhM8iQ0SF/ayBtA6qRS3oXFYW1FBfP/996KpHf196dKlwg3C2H7+ZosFwzipO4SEBQVw0gXU0T5sd7FgkPWCGkwZZz5QkS1jC4Y73fCQoDCON7GWoDBAlVHJtbBy5UqcOXNGnKvkirC1uDBFVFAMCIkKYuHChSwq7AhbLBjGCaHeBX/5y19E2eFHHnlEZIowtq/V4Mzlqa0hKGyVgksCmMQFnbckNmiit5W4IFFBmSmU9mpocU7rNIbKjX/88cdiPCSguAeIfedvFhYM46RQcNypzFPok9AP4cpoFF8pgVajhV+gL3pmJCNteC9ExIU5ephuIzBs3f+iqrQaF4/m4HLmFdRV1UOukCMyIVwcRzqe3j5KqwkKEktU08PWgsIYqhGxYsWKloZeNOF3JC4a61XIPpGLS8dyUFlcBUhAUHggeg/pibRhKQgICWjZnqLcYlw6moO88wXie1k5l1CjqURQQgCW/uDeVoGaRHl5Of7zn/+I8uNkxaBxcAaIdWBhwTAuTEF2ET744+fYveIgtCqdeE+hVIAujzqdBJ1W/17q0BTc+vRcTLl7HHz8fBw8atfGFh07NWoN9n59CN/8ewNO7zkv3iNBIZfLaC4VQpGe+Ph5Y9aDU7DwR7ORkpHsUoLCGBqDoVsopU3TpE7jMIzx7P6L+Patjdi5cr/Ydprw5V56Nx+d05JOgkwuw7DpAxHTMxpHt5zE9dwS8XeFl1wsQzz0pz/C48Jwy49mY95j0xEWEyosfP/9739RWloqKmo+9NBDomw3Yx1YWDCMC9KkUuPTP6zC8te/ERddg4DoCLoI08U4KikCv/joaQyecqMgENM9gUEWjCtXrrQIDOqbQQKDrl+mcPFoNl5b+i/knc8XYqKrY0kTp1ajw8InZ+Hx1++HX6CfSWM1rjpK0ETqyL4pFCRK4kKj0Yi0X4rBqCmvwz+efE+ILMN2Wgv6DSi9lXjiz/ejMqAYuVdyxdzy2GOPuXVAriNgYcEwLkZxXilenPOyMPma+7OkO2CyZCz55W145JV72PRrJQwWDHMFxld//w7vvPCRSeKwvWMZkRCOZRt+jR79k1xGUBhDwbFUkIrERaAmFHvePI76mgaz94W5hKQEYND9vfHEk4+LVuiMdWFhwTAuRMm1Mjwz7tcoL6qArpt3c+Qa+dHfH2ZxYUUMFgz6n6CgQRIYEydOvElgfLHsa/zv1593a31k4fAP9sPfd/+xlbhwdkFhDMWtvPXKezj5UTagIxeGHVYqA5IHJODf+5aZZPFhzIOFBcO4COSHf2rkL3HlbJ7VTMTPvPU4Fv5wllWWxXQtMMiCERoain1rDuOl2/5klXWRuKAYgv+d/Rt8A3xbtYp3ZkFhLJYfTn8GqoYmEUdiL2i/TbhtFP5v5U/tt1IPoZqFBcO4Bp+9vBofvbS83Tu6KqkchbiCCpSgAXVQwhshiEBvDECArGP/MQUD/ufM3xDbM9q2g/dQ2hMYfXulY/lPvkNtRX27riyNpMEVXEA1ylGFcmigRn+MQLysZ6dukfF3j0Ts5JBWgmLUqFEYO3asUwoKgraf3Hontp9uVyzXSlXIwVnUoBIqNEIBBQIQjB7ogyhZ6zbmOkmLbJxBIa5CgyYEIgS9kYEIWUynY/i/lc9j0p1jrb5tnkw1CwuGcX7KCitwX48fdmipyJT2oxJliEGiuKDSRfgasqCFBiMxDYGy9v38FCA3/la+a7M1FHtBAoPM/jkbC1FwqKzDu/MGqQ57sQG+8IcfAoRY7EpYGBj6w1SEJgY5vaAwsH/tEfx20esd/r1UKkQesoRI9oEvtNCiGPmoRCnSMQyJsl4tnz0lHUQxriEZafBDIAqRi2pUYDgmI1QW2e7yyQ0YEhWML/LegZeS60BaC668yTAuwIb/bBNZHR1BF9MMjIZcdqPyZqyUiAPYglxcQAZGtfs9Eip7vj6E0oJyRMaH22TsDNCjRw888MADuHjuIn7y2m87NfnTBDoRC+Aj80W1VI5D+N60ldChv+aNZ//yLPz9/eEKfPOv9Z1mwkTK4hCJuFbvJUmpOIituIpLSESvFovddeQhDQPRQ9ZXvBcn9cABbMYlZApx3R50v0z1Mcg1xVYL+2N2neBdu3aJ8qiUI0yqkMqqMgxjGeve2yKyOTqC7siMRQXhLwsSZuM6VHe+cEnC1o93WmuoTCdcOVwIjUrb6WfkMoUQFWajA85uy4KXQuky2U3Htp4yOwOE5hOy5pC7o2VZuAYZZEhoFhqEQqZAPFKEO6lRqu9weSRsvntvi4VbwdhVWNTV1WHw4MF48803u7VihvF0yJpQll9u9vfobqwJKijReUEskitn9l3oxggZU6H9TAXMbAUFQOae1hftcnbOHbhk8me1kgZNkgr1Ui2uSBdRhiKE40ZcEMVg+CMQXrLWoioEYS1/7wgSNlSQi0qAM/bFbFfI3LlzxYNhmO5x8Ui2Rd8rwlWo0IBeaF3KuC3kYjl/KMvC0THmcO7gRWjVnVssuoUMoqx1n+G94QrnNYksU/bHRWQiHzktr6ORgL4Y2vKaYoq8cbOVxxt+LX/vjMY6FQqyryMxrbXbhbEtNo+xUKlU4mEc/MEwDFBWUCEmDHNS8eqkapzHcYQgHPHoOuiP/Mxk4eCaFrbFEsuTOSi8FCi18TqsRVlheadxQ8YkI1WICRIIxciDBAk68v00o4MWctxsCZI3G9vp712OJ7+chYWdsXkv5mXLlokoUsODuzQyzA1TLfmPTUUlNeIE9sILSgzCWJPFApuCbY+tK0rK7LAOa2HOOANkwSJtNF7WA0NkE0S200nsbUnXJVHRnngwiI/2REdbtC6y39wJmwuLF198UaSmGB6G9sQM4+lQZUVTs701khrHsUfUPhiKifCRmVZV0NtXabP21cwN/IJtW+WRAnz9g10jI8Q/yF/077CEaCSKVNJ61LZk0jS14+5oQkPL37siwMbHhnGAK8THx0c8GIZpTa9BPUz6nFbSCktFPWowDJMQKAu2+jqY7pE2rBdKr5XbzKpAy+012DWOJZ1zOuraagEG6wQJaCIIoaLeBwlr4wBOyggx/L0zSOD0GMBWcrezWDAM0z49+ifCy7tzbU8WjVM4gCqUYRDGIFQWYZZfPn1UmhVGynRF3xGpNl9H2rAUuAJ9RvTqsi9Ik3SzFUIn6USVWXJvUDo1QfEXFHdhHOBJlTgLcAXBCIevrHMrDsVW+Przja3TWyxqa2uRlXUj0pwqzp04cQLh4eFITk629vgYxm2hioDjbxuFPasPdFh58yJOohSFopiQGk0olPRdNg3EyTq+i9VqtJh45xirj5u5mQm3jzKp8VielAW1OJJ6U34JCtEoNbQEMrZNqzTUY+g/tg9Co0xr1+5o0ob3QmRCeKfBpudwTFghwhAFH/iJ4E3KdiKrXBoGwUumn5pCZBGIlhKRhdMiLVVfefMKGlGH/hje6Thov01dMsHq28fYQFgcOXIEU6dObXn9/PPPi/8ffPBBfPjhh+YujmE8mkU/moOdK/Z1+HdDnj6JC3q0JQ7tCwuK60zoE4+BE/tZcbRMRyT1TcCQqRnI3HW2U3fIFVxEI24UdSpBvngQcUgWgbltoeXd+mPXSfGnmJ5FT83B/37zRYfZITFIQgEu4xqyhcxSwAvBCBMVNtv2ChmAkciBf6teIUMwHmGyqC6tfXMfn27VbWNMg3uFMIwDoZ/fT6e8hDP7L3S7XXpbfrP8OUy+a5xVl8l0DIkKOpbWhO66E9Li8N7Jv7hUz4vq8ho81OcZ1FbUmRygbE2oKdy8x6fjJ28/Yfd1uzOmzt8cY8EwDoRSRn/2wVPw8lJYdTIiF8ukxdwjwZ4MmtQft/xotsUZEe1Bk/IvP3napUQFERwehOff/6GDRIUM4XGhePxPS+2+bkYPCwuGcTBxvWLw0/88aZVlUVfTqKQIPPvOE1wUywE89vr9IiuCxJ01+MGfH3CJapvtMeG20cIlYkaplm5Doo6qfv5mxfPwD+I0U0fBwoJhnIBp904Ud3h0EaY7LkugySwqKRJ/3fF7lwn0czf8Anzxpy2/RcrAZIstFwZB+PDL9+CO5xbAlfnRPx7GvMdm2GVddP4rvb3w8toXMWCcvhMq4xhYWDCMkzD30en489aXEB4fLnzEpmKYwCie4s3DryE6ufOgNsa2BEcE4W+7/4hbnpwtXptjvaDPBoUH4ndf/Qz3/up2uDp0HpP1jB4+ft7ComYTZBBi7s3Dr2PYjEG2WQdjMhy8yTBORkNtA75Y9jXWvr0ZtZV17TZ0IjFBd7aUMZA+KhX3/eZOjFnQefodY39O7jyDT//wJU5sP60XGJIkqmgaYzi+vgE+mPPINCz97WIhTtyN61dK8PHvVuL7L/aI7aX9QSnRxtB7YkqSAB9/b9FEjOqxaLXam3rqGPZbZGIEFj+/EIt+PEd8lnH8/M3CgmGclCaVGvu+OYTTe87j3MFLuJ5bLPoe0ATUe3AK+o7ojbGLRiB1iGsUTvJk8i7kY89Xh3DhSJboUtpQ0yAm0YiEcPQb3UfUqaCaI+RKcXeqy2qwc9V+nD90SbRYryqphqTTITA8UIhkKjZGgcdUCyNz51kc2XwSFw5fQu6Za1Cr1CKQNalvvPjskGkDMXzWIC5bbydYWDAMwzAMYzU43ZRhGIZhGLvDwoJhGIZhGKth96orBs8LmVQYhmEYhnENDPN2VxEUdhcWNTU14v+kJG5lyzAMwzCuBs3jFGvhNMGbOp0OBQUFCAoK4sqADMMwDOMikFwgUREfH99prR27CwuGYRiGYdwXDt5kGIZhGMZqsLBgGIZhGMZqsLBgGIZhGMZqsLBgGIZhGMZqsLBgGIZhGMZqsLBgGIZhGMZqsLBgGIZhGAbW4v8BaKEpXRiMCv8AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice where the labels for the graph start" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper accepts any function recognizable by numpy as input" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_swiss_roll\n", + "number_of_points = 300\n", + "\n", + "data, labels = make_swiss_roll(n_samples=number_of_points, noise=0.1, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append((data[val][0],data[val][2]))\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BFgkeNmwYtmzZYvdxarWaLyhsuREEEfjIpamNGb6O0EEh6+Qhi/wXrwk/E30G6+Fbwu6bjtli7ty5/AJh2tLS0txuK0EQ3kcijkBU6DS7q3kxn78BSpyp+hi7z/THgfyLUVD1OfQ0AvD/qJ7Zs2ejsrLSvOXm5nrbJIIgPERy9NOQSRJaiL8ACbQQQQcNGrQnoDdUoEGbidyKV3C44DJo9cVes9kX8ZrwJyUl8b+FhYVW+9l90zFbKBQKREREWG0EQQQHMkkiuiT9gZiw6yASKZoO8Kgf08XAFOdpnApu0J1GNoV5+obwd+jQgQv8mjVrzPuYv55F9wwfPtxbZhEE4eOwHn9azGvonXoA3VM2okvSKmgN5Q4KuulR2bCWXwAID0T11NTUIDMz02pCd+/evYiJiUF6ejoeeeQRvPzyy+jSpQu/EDz77LM85v+KK65wp1kEQQQAYrESCnEGyniNHtsr9jYhoFa9ByHSdA9ZF8TCv3PnTowbN858f9asWfzvLbfcggULFuDJJ5/ksf7/+c9/UFFRgVGjRmHFihUICQlxp1kEQQQQIpcdF343pek2RAILqPdjmHuIRfewiV7y9xNE8KHVl2Hf2aEQoHPQSox+qVsh5xPDgYurekiXQIIg/BqZJAaxqqsdyJkYsaHTAl70WwMJP0EQfk969HMIVwxrJmvGv2HyQciIedlrtgWdj58gCMITSMRKdEv4BhX1a1Bc+yO0unzIJEmIC7sG0coJEIlI6iyhT4MgiIBAJJIgOnQi3wjHkKuHIAgiyCDhJwiCCDJI+AmCIIIMEn6CIIggg4SfIAgiyCDhJwiCCDJI+AmCIIIMEn6CIIggg4SfIAgiyKDMXYIgCDsIggGV6p1o0J2FTByFaOVIiEVy+Dsk/IRfwqqJnzhbgpW7j6G4ogaqEAUuGtAFgzqnQiQSeds8IgAoq9+EE6XPokF3xrxPKo5Eh6hHkRJxA/wZEn7C59h7Mg+LNx9ATlEZIkNDMHlQd0zs3wVymZQL/uJNBzDvj80or6k3P0YMEb5ftxcDO6Xif/dcjvBQ42I+pVW1qKxtQFyEChEqWuCHcI2K+m04UHhHi5W9dIZKnCh7AQbo0C7iZvgrtBAL4TUMBgFbj5/GxsPZ0Or16N4uAQey87F06yGIRSIYBMH8t2NiDD65fzq+WLkDP27YZ/w9mjr2FmewWAQM6ZqG+y8diXm/bcKOY7nG/WIRxvfvjAemjUR6QrR33jDhN+zKuxI1miN21/EVi5QYkbYZErEK/qiHJPyE22Cn1q6ss1h3+CQ0Wj26psZhyoBuCFXIUVBejfs/XYrM/FJIxcYYA53O4KDsrggZ8dHIzi9z8qLspAakIhHYmc0uGpbPwV57wZPXoUNSTNu9USKgqNOexI6zk5226x73FhLDLoc/6iG5egi3UFpdh4c+/xUHThdAImaOGDZMNuCtZevwyo2T8e5vG3C2tJK3ZfvtdKzM6A0CTuaXQdI4ArBJ424m/Hobbdhz1Kk1eP3HfzH/4Rnn9L7ySirx987jqKptQEpcJCYO6YawUMU5PRfhm2j0JS60EkOjL4a/QsJPtAnMj/7Tlv1Yuu0gymvrodXp+cbkV8+EvZFatRaPfPl7k0iz/1wcc7K2dkXf1MDJczHx3370NPJKK5ESG+naCwNQa3V4/MPfsOVQDr9vckG9/cNaPHH9OFxxYR+Xn4vwbeQuLdFo4BO9gqDn6wD4GyT8xHmTW1qBWz74CSXVtdy9wrEQYEt3fHORtnnsPHHlOXOLKpwKf2FZNb5dvRu/bT6E6jo1812Zj5kuQOyC8PKi1bzXP2Fw1zaxn/AuobL2CJf3Q7XmgF0fP/v2D5Y8gyOlryIlfDraR96FEGki/AUSfsJlmJvk8Jki7rvvlhoPpUyGz//ZgU9XbTO6ayyxMfF6vggiQNx4sbDdwPqlHaFSOnbPnMwrxZ1v/ISaejUfJdh6KeZSMjF7/p/4o88h3DhxEIb0SHfBAsKX6RQzG/sKbmo8pQwtOhV6djJCBL1QjzNVP6CwZgWGpvwApawd/AESfsIpGp0O7y/fjB8370ODVsf3sQnZuPBQFFTU2FdiZ0Js2et3wU3DQjIFvQEVdQ08IqjFa7ELQ+Mkri2xNpEYHYYe6faH8+zC9vSnf6K6Xm39Oqb8ABvuJvaYzQdysHF/Nh6YMQq3Th3q+M0QPk1kyED0TVqIE6UvoE57oumAAOgggsGi6IEAPbSGChwueRaDkr+CP0DCTziECd8jC37HxmOnuLiZ0OkNjkUfLva+XRB8k0/94/uu5BPFD3y8DPllVWY/u+l5WPLWI9NG49+9mViwaqfd57rvshH8eeyxPysfWWdLHdgs4uLf3KVksuXDxRv5ZzVz8hBIJWLz57jtYA72Z+ZBLBZjWO8M9OmUTMlmPkxUyBAMTvkDNZpDKKvfghPlbzeeqi2/Myb+ZQ1bUac9jVCZ74/4SPgJh6w7chIbjhonNN2GSfwdXARevXkyuqbG89u/P38bNhzKxo7juVxge6Ql4KL+nXn2LqNnRiKfWP7+373mGH42wcxGKQ9PH43LhvdyaM6RU4UmbXdgs+MG85Zswg9r9uC1ey5FmFKBJ97/FXnFVZCwC4Eg4LNlW9CjQyLefOhyJESHO/+MCK8gEokQJu+J7MqvILjgRKzRnPAL4ac4fsIhD375KzYczbbtOmG7HJ09rvrcG2Pv7fHElWNw09iBaC2F5dVYtes4yqvrkBQTgUmDuyHShezdxev249Vv1jh/AYNjKWAjEtbjV4jFqFfrWrin2LVDIZNiZN8OmHhBd4we0Mk8QiB8A0EQcKjkv8ivWeZS+4GJnyM2dCS8BcXxE21CbmmlfX+5swlcFyN32ESxTqvHyUJjnL7Q6DaRSyV4/ZapGN+38znZnhgdjpkTBrX6ccN7ZTj3QLnQX2LvgWUka7V6iAy2o50aNDqs2XkCa3acQOe0OHz45FWIiQhttc2Eeyir3+yy6EtEKkSFtL6D4g1I+IMU5vqoadBAKZdxgbUHm8DNKnTk73askAM6pGBPdp5DW267aDAm9+/GyzesO3gSWp2Ol2+4ZHAPqEI8XwmRJWax0Mw1u07Yzhtg+9goxYXnsgxvbdG+2VNnnSnB4+8twxfPXk++fx8ht/oHiCDhPnxnZETeBolYCX+AhD/IqKitx+frduCXbQdR3aDmETAX9+6Cu8cPQ9fkuBbtLxvUA9syjfVu7MK8E82iOZVyKV67aQrG9uyEj1Zsxqert9t86OQBXbnoMz/8iO4ZfPMFnr3lYpRV12HXsTNchLlHlG3nIsguPoQ9/cGsAhzMykefzimtfx2izanVZDoUfdNoNlzeGwbBgNL6rYgJGebzF27y8QcRZTV1uOGjH3CmrNLKU8EKm7HT98LuHTCwfQouH9QT8eEqc4LSiGc/gkbnvMcjEYn5SIJdQD68YxqSo5u+j1V7j+Orf3biUG4hv58WG4mbxgzENSP7Ooyw8SY8EufIafy55TA2H8hGVZ2aXwBak23MYdcLvfMev4kpI7vjubsm++znEkxsO3sNqngiV0uscxUlEIG5KfVQyTpiQOKHUMnaw9NQkTaiBY9/9yeW7z/uMIKGTUiyzsqsKaNx64VG//jzP63Gku0H7T4ve0yH+GiM79MZw7ukY3CndnZ7PLUNGn5xCFcqfL5XZIlGq8OiFTvx0z97+UiA0TUtDonREdiw76Tdx/G3qLMxeW2ZHtByFxRSCSaP6IFbLhuKdolRbflWiFZwqnIBjpe90eLHYh3X0Pw8lkAuicbI1N8gl3j2uyPhJ6zIK6/Cxa9/YbecsS1ev24yLh3QAycLS3HFW4sczmd+++B16JuRjECHXbTKq+ogk0oQGWb053722xZ88uuWFm2Z+yo1LhJn8iqspcGG6FsdbpwPYG64EIUM8//vGnTNcKV+DNHWaPVV2Hz2Umj0rCqs3obw2+u8iNAl+lF0jLoTvqiHNJYMEr5cv7NVos+azVu9lbs2OibG4sWrL+a9VyZGJky3n7x8TFCIPoO5X+Kiwsyiz7jr8uF47raJSI1vqv3DwjRnjOmLDx6Z7kAaHMOiqerVWjz1v9/w1bKt+OTnTfhn23HoXHC7EW2DTBKBwcmLECpN4/dFfFrUGHnmGAH5Nb/DV6HJ3SDhn0NZrWrPTuzTpRU4WVSGTomxuHJob3RNicd3G/ZgE8vihYChndJw4+gB6N+eJiIvH9Ubl43shVOF5XztgXbxkQhtjEjq0zkZh7IKrCKEHIm+uXyFIMCgE5BfWMlF35QzFhkWglcfugyDevl+olAgoJK1x4h2f/Ls3dL6zcip+sqlS7fOUA1fhYQ/SGClks+lDGadRmu+3atdIl653vkCFcEKm7Nob2OBlzunXYCH317aymdrWY3OdN2orGnAQ6/9ggWvzESXdGM2M+FeRCIxT8wKV/RANhd+kUtVPn0VEv4AJLOwFN9v3YetJ0/zSIMRndMRFiJHGRP/VsBKHKTH0sTi+TK8bwc8e8dEvLbwb17jqDENwKl0iJy4gd5asAafPHddG1tLOEIqDodEFAq9YJzgd0RaxLXwVUj4A4xluw/hmcWruVvAlHF7qrQcBr3gvP6MBcx/P6VfN77YOXH+XHZhb4we2AnLNx3Bp4s3obahaSRlExcuDvuOncVT7yzD+KHdMG6YcTF6wr2IRTKkhs/A6apv7dbqZ8SGjEBi6AT4KhTVE0Acyy/GjA+/tZNtagwptKpoKdgX/cSIMHz3wPXmeH6i7fjl7714c+E/TTtsqbveccyI1UMFICYyFNMv6oeu7RMwvH8HSB1kYxPnh1pfgq1nr0GDvsim+LMErkFJn/KLhKehWj0BzMniMny3bR+2Zp3mvfgRnTJw/bB++HbLXvt17UWASAxEK5UorWkcpjaqSkK4CsWNq2exEg7TB/fC3RcNQ2wY1YxxB5eP6Y2Vm4/yEs3muEBLhXdSqdSynalpWUUdPl+yhe+IilDiqTsuxtihXdz8ToIThSQOw1J+wLGy11FQu9Is/jJxLDpH3Ye0iOt8PkeFevx+xtJdB/HM0tX812765kxhlZGKEKd+/M4JsXjt6kk4eKaQ+/Av6JKOlKgIPolbq9YgUhnisHYP0TY0qLX4ZPFm3vtnUUCWws9yBJJiwpCb3yz+35XKpxa/5v/+ZyIuG0drAbsTtb4UddpTkIhCEC7v5vX1dymBKwD5bP12vLtqk/0G9l2OZjolxOD3R25pU7uIc6dBo0XO2TIcPVXES2fER4dhSM90aHUGTLx7Hl9XoAX2EsCa/ZLZsQ+fuRoDKewzaKiiBK7Am7R1KPomd46Dw2xkcEEnEgFfIkQuQ/cOibhibB9cPqYPjwBi/nlliAxzH76spcvASdZv86ZPvLEM9c4mkomgg4TfT9a8fW35OpfaOlwXRQBuuKBfm9lFuJdRAzvhyzk3YMzgzi3cOzZF38bOugYtVm864lY7Cf+DhN8PWH88B1X1aucNRcb6+bZKK7BonrlXT0KH+JYJRoTv0qNjEl5/dBo2LnoUd80Y3lhJFS6vhsYW9Np/zPF6CETwQVE9PsiJohIs23MYxTW1iA9TQS5xbcKIicLEPl1x1aDePMJnW1auMeqncwZuGN4PXRJb1tsn/AO2JOPN04bhwIl8bNufY52TYWuYZxGxW1FdZywn7eORJoGGIBig1pfzrF+5OMqnPn+a3PWxyo9zfv8HP+06wHvpxm9GgN4AiF34lthp9dtDN6NTQqwHrCW8ASvQ9se6Q/hl1R5kny3liXktaL7qlwBceXE/PHbHRbxiKOFeBEGPrIpvcaJyATSGssZQz0h0ipyJrlF3uPUCQFE9fsjbqzfisw07bB9sTMBydMrMnTEJ0wb0dJd5hA/y4bfr8O3vO1vmARhargHw6O3jcPUU/1gT1p97+TsKH0N+3b82j0fIu2Fs6vd8FOAOKKrHzwqoPf/73/hs046mmTvTD9niviC2P3n7wrSLSPSDkAduHIM7pl9gDOVlkZ8sJYBtNk6UL3/ewlcVI9zH2dqVdkWfUaU5hv0lc+FtSPi9TFltHa75/Hv8vNvGCleilrcFibX4p0ZFYP7NV+CaIX3dbivhm9x5zUgM7pVmHBE2i/yx7ENUVjdgz+HT3jQ14Mmq+MZpm1PVS6E3uBCs4UZoctfLvLJ8Lc6WVxpzr5x1xhp/wdcN64uBaSlIjgzHwIxU8tsSKCxuqv1u62wwVoAQsGjJdui0BvTpnopQpXG9AKLtqNY6X/dCgA7l6v2IUw6BtyDh9xL5ldX477KV2JKd26rHsbDMep0Ol/Xv4TbbCP/DdO13uMALRNi5/xR27TsFhVyCCaN74P6bxyDCYjUx4vwQgRVma3DaTi9o4E3I1eMFCqtqcN3nP2BbzplWP5YFBLga3kkED107uLgmb+OoUq3R4881BzH1lnm448mvcfgExfq3BYmho1xqFyFvTMrzEiT8HqK0tg5v/r0BQ9/4CBe+9xkKamqg54NvC1zw2LAa+2O7dnCjpYQ/cvkE4xyPQ2+hQbB5ih3LKsR/nv4OL7//F18ohjh3ekTf7/SHnKgcDaU0Ed6EhN8D5FVW4cpPv8VXW3ahkmXgWv46WbROK56rfWwUxpDwE80Y1DsdQ/qkO6jmaTzLHJ1rK9YdxryFa91hXtCgkrfDwPiXrcSfffSGxk0iCkPPmEfgbUj4PcCzv/+Nkppa84pYrkTvWNH4sOhQJT6fOR0SMX1thDUsKejt/5uBgb3TWh50cZF3dp4tXr4H5ZW1brExWEgLvwQXtVuGOMUwCIK4McpWBB3EqDfUYeWZa7C14CnoDd7z83tdQV544QV+0lpu3bt3R6CQW16BjSdPcdFvHmJnGWrnrNc/LKMd/p11J9pFR3rAasJfyzp88Pw1eP2paejZOQkSVqjHhJPkP44IPBN44w7nkSmEY8LkGUhUXcjduQaI0eRkM8ZX5dauxsrcq6EztG4d7ICK6unVqxf+/vtv832p1CfMahP2nCmwqptiP9TOekdKeDhkEjE6J8Th+iF9MbJzhk/V+iB8l1GDO/ONMf+b9fju1x22l+O0hQBU1TiPSiEcw+L0D5d9DIOV4MPqdq3uDA6UfoAB8U/C0/iEwjKhT0pKQiDC/PourZ3aqP7s74TunfH+NZeS0BPnzTWXDsJf/x5CRWUt9zHbxSLxq6qahP98KarfDq1Q69SpcrJ6KfrEPgCpODS4XD2MEydOICUlBR07dsSNN96I06ftZxeq1Wpej8Jy81X2ny3A4QK2ILNzWIeM6fyNQ/rj7RlTSfSJNiEmSoX5r16PXl1T7DdqVuXz8LE8fLd0O7bvyaYSD+eI1lDd+HE6/vwMggaVmkx4Gq8L/7Bhw7BgwQKsWLECH3/8MbKzszF69GhUVzdlIloyd+5cXoTItKWl2ZjM8hFWHjnh8kQs0/kpvbrimanjaM1bok1JSYzCx6/egNdnX2kt8oKtSp4C9h46g0++Xo/HXvwF197zKQ4fz/ee8X5KmKydy21PVPyAas3p4BL+KVOm4Oqrr0bfvn0xadIk/PXXX6ioqMBPP/1ks/3s2bN55TnTlpvbusxXT1Kr0Rh/TI0hm/au/aZjQzv47kWM8H9GDOqI9ORoY0G3ZhcA8/iysdC/qadfVFKNh5/9AafPGssLE64RregDlTTFpQUyjRO9V+FMTdM8Z8ALf3OioqLQtWtXZGbaHv4oFApebtRy81U6xEZDL1gnxDQXf8Hi9za5Z1eP2UYEH8x9eOOVQ5siyhoFX9Q82NxiNMAuAFqtHt8u2eZt8/3usx6a8IoT2TeFexh47M/Wwv+iRpsbnMJfU1ODrKwsJCcnw9+Z1rcnZOJGt43FGWCr53/HiMGIUoZ4zDYiOJl6UW/ccKWxOJh5eU4m+s3CPc23BWO2+Or1R8jf30pilf0xMukDSESm33XzJdOaL6IAZFb+jKAQ/scffxzr1q1DTk4ONm/ejCuvvBISiQTXX389/JmskjLsPZOH24YP4vdNLh9zeWXTVy0CrhrQC49f5FqND4I4357ovTePwedv3YRLJvRBr65JvPBf8+UfrBDAe/0arc7zBvs5yaoRmNZ+DfrFzmos4GYvqJuvtYfCui3BEc555swZLvKlpaWIj4/HqFGjsHXrVn7bHzlSUIQXlv+DvWeaJsSiQkMQrlAgt7zSuEPEUrtlGNY+DU9dfCHax0Z7z2AiKOnWKQlP3JuEP1bvx+GjtidvLZMLI8OVUMi9Lhd+iUQcgq5RN+JE5Xeo0xU4bNugL/eITV7/Jn/44QcECscKS3D9gp+g1ln3jCrqG/j26PgRuKRXNySEh0ERQElqhP+ybvNxp23YBYCNDijE+PxQSduhVltgzNmxAfO4aQ210AtaSERsdBDArp5A4s0166HR6exmSX60YRuvt0OiT/gKlVWulQxIT6FR6fnABL1cbT9e3yQZTPQ9McFLwt8GsB7+gm27sf7kKehYqWU74ZsanR7LD5/wkpUE0ZKEuHCX2lW4eIEgbHO47EtoeFKXyDiXbiEOptumal5iuD+Ph7qe50lZXT1u+fYXHCsqsS68wy6pjV+waWTHkrkKqmwnphGEN5g0vhfWb3XeGWE+/rLyWuScLoFMJkH3Lsn8L+Ec1ovPqlpintg1/d8k+EbRZ/+UkgSoWpH8da6Q8J8nT/22EpnFpcY79uoxmYZxBgNiVJ6tyUEQjhg1tDOio0JRXlFntw1LPt+yIwtvz1tlDumMCA/B9TOG4rorh9Kaz05o0JVCa6gx32cir+c9Q+twTnYx6Bp1A8Qi919QydVzHpwqq8C6rGzo7VU+tAjdNPX4p/To4jH7CMIZbMJ29kNT7DcQAJVCgc3bs6zi+Fkht08WrMcHn63xjKF+jESsMN9mn2BTxU5LmOyLoRU8UyCPhP88+HTLDueNLL7ju0cOoR4/4XNcMKgj5jx5Oe/FM0xRJ1KpGH17pKKuXmM3eWvJH3tw8lSxJ831O0Ik0YhR9OJya7tMcxMHyz5Hva7RbexGyNVzjqw+lomf9x50qa1cKsb9oy7APaOGut0ugjgXxo7shpFDO2PTjkzkF1YiIlyJ0cM646Z7vnCYsSuRiPDX6gN44M7xHrXX3+gVcyfW5z9qL0XOiuzq5egZPdOt9pDwnwOCIOCtfza61FYiEmHlvbchNcp3awoRBINN1o4d0c18X6fTtwz3NLk1G4cF7KJQWOS7pdF9hRTVKPSNuQ97y+Y7aSlGna7Q7faQq+ccYBE82WXOM+zYT2NGv14k+oRfwpZuDAmRNQm+nlVt407qxtsCnyOIjFB621S/oEvU1S5U6zRAIYlyuy0k/OcAy8J1heSIcMy+eIzb7SEId8BEvU+P1MbKnTYasN1aAy4cQVVlXUEmDkOMomk9cVNB1MZraON9A9qHT4a7IeE/B1ztwc8aOwIqudzt9hCEO/jym43YsTPbtuhbsHvPKU+Z5NfU6QpRrj7eVAG7MabfMtpHKo7kk8HuhoTfRSrrG/DRpm0Y99EXmPrZIkhdWFmrUq32iG0E0dYcOZ6Phd9vdqntr3/t5dU7CcdkVi7jEm9K2DJiXh2B39MYqrCpYA7cDQm/CxTV1ODKBd/hfxu24ExlFRp0OmgNTrpBABbvO+QR+wiirfn1zz2NiVnN6gvYgIV7FpdQRrozihsOcFeOs7V4c2vXocrNSzGS8LvAf/9ajbOVldbF15zN0YiA/KqmbD2C8CeOZRbCoDc4WyvcjFxO5Ruc0VSDx1lIpwhna91bl5+E3wm5FZVYl5XDfXLNR2e8GJvtJDxOLCVrEX5KiELaVGnQUTlmQeB1+mNjwjxpnl+SFDrMhR4jayGCQdC41RYSfif8sGe/9Q5L8RfbcNM1Hme/lav6sWw9gvA/LhzZla/Jy2leTtISkQjpaTFUq98FOkZcApnYeegrW383WuHeSCkSfieJWssOHTHesXdeN5ZgtoStZdouMhJX9+vtbhMJwi1Mvbgv77wYF2K3OGC6CJg2g4CJ46mD4woKSSTGpbznsOwyK8ocJk1BcqhxXWR3QcLvgGPFJSiqqXXmjmvB0PR2+G7mNQgPaSrORBD+BEvKSkyI5LfN4t+8dAOLbxCANWsO4dhx28s3EtbEK/vhsozvbYZsiiCBRKTAhcmvQiRyrzRTyQYHcNF3gbToCDww8gI++TsgNQWd4mLcbhtBuJtLJvfFFws3WPdvLFYYMu07fqIQ9zy4CDffMAK33TLaK7b6ExHydEzL+Bn7y77A8col0Avqxo/VgFhFNxicJU60AdTjd4DYRb9lt4Q4TO/bC1f1602iTwQMo21l5Ar2t0Xfbcay33d7w1S/Q2OoRlb1KugEQ2Mil3ErbjiIFbn3IL9up1tfn4TfAWlRETaXUDRh2t85NtaDVhGEZ7C5wEqz3n7zYx9/+g/q6ihx0Rnbi9+DWl8FAXqrqBDW6zdAjw0Fc2AQ3JcUR8LvgJ1n8sy3m4u/Zar1uM4dPWoXQXiCuNgwXpPfjMF5BLpGrcf6jcc9YZ7fUqcrQW7txkbRt4WAen0J8uq2us0GEn4HET1fbN/lMISZkREdiQGpyZ4yiyA8RmioAuntYl1O4uKIgKJiKtPsiGrtGYeZu6bonkqN+2og0eSuHarUahwvsV5Lt0UoswgYmJpCMcxEwBKqNJVldvEBAhAVpXKnSX6PVORaLL9M7L4EUOrx28FmvkqzRC1WqC1ERtdOInBRhYa0rscPYMzopsVciJbEKLpAJU122uNPU7kvQoqE3w6RIQq0j45y6M/UGQwY1C7Vg1YRhGcZNqSjsZ/TKP7OrgE9uifTwixOYDH6A2LvdNQCXSOvhFLqvqAREn47MPfN7UMG2j3RWahnTKgSU7p18bBlBOE5Jl7cG+GmRdidlRYTAU89NtVjtvkznSKmYEjcwzxpy1idR8p7+YzOEVMxNP5ht74++SkccF3/vtibV4AlBw/ztXP1jf4fJvqhMhk+m3EFFFL6CInAJUylwFuvXYvHn/oR1TUNdsM+WTDEk49NRUZGnMdt9Fd6Rl+LjuETcbJ6FWp0+VCII9EhfAIi5Gluf22RwL4xP6aqqgqRkZGorKxERETbr23LPp5/sk7im937cLSoBEqZFJf06IYb+vflSysSRDDAYvNXrzmMDZuOo6ioki+80tCghVgsRlJSJDpkxKFTxwSMHdMd0dE0uevrekjCTxBEq2Gy8f33W/HlV+thsKjhw1yk06cPwn33XkTRbj6sh+TjJwii1SxeshOff7HOSvRNF4TFi3di3kd/e802f0QQDKjXlUOjd60+2PlCDmobHC8uwec7dmL58RNQ63Q8umfmgAG4tl8fyCW00hAR3Oh0enzx+TqHbZYu3YXbbxuD0FC5x+zyR/QGDQ6U/4BDFUtQrzfmDYkhg0ISjvZhY9AzajqiFe3b/HWpx9+MTTmncMXX3+LXw0dQr9XyipvZZeWYs+Yf3PnLUn4hIIhgZufObKg1Nn4HFnX6BYOAn37a5g3z/Er0V5x9HDtLPzeLPsMALer1ZThSuQxLTt2CrKq2Hz2R8FvAhP7B3/6A1qA3R/AwTIXatuTm4osdu7xqI0F4m9Onm0SK07ggC9tEjRu7vXL5ftRU244EIoDDlUuRX7/XYRlIlsG7tuBlVGpYmYe2g4Tfgj+PHuOlGuxNdzP/5aLde6A3uL9eNkH4KsnJUS1FX2BFhZtgt4uLKvHoI9+gvs6968f6K4fLF7vYUsCRiqVt+tok/BYcLCzkZRgcUVJXxzeCCFZGjOgCiURsrmtiL7GLHc4+WYzff6Ma/c0xCDpU69iqZc6DKlmvP6+ubT0NJPwWyMSSNm1HEIEIE/0ZVw4y3jEwd4R92Cj599/3eMo0v0EEcWPWrqsPaNvQWBJ+C1jdHVZ/xx4sY7dXYgIv1UAQwczd94zHuHE9+G1nklRUSGWam6MXtLxMgytZVOwikRo6GG0JCX8jvx45gof//MNhGxbhc++woR6ziSB8FZacNXv2ZXyxFmfeClOtH6KJrOp/oBWMcx/OxV+EHpFXoC2hOH4A23Jz8dhfy43nL+u+COY/5t4M+/vEhaMxuZuNdUgJIgiZ/9EalJXWOOzyszo+Eyf38aRZfsGpmi28380WWhSz6B3BtleHuYPGJ7+ACHnbVgEm4Qfw0bbt3I3DQzhNi640/mf6Pl6fMhEzevf2opUE4TtUVNTit6W7rHurNi4AoSoFrpw+xJOm+QV63ts3di0NFivu8g6n+TMV4eoOXyPSDUXbgt7V06DVYtOpU1Zx++YwBfbpiMHXHT1QWOhNMwnCp/jj1z28XIPIlLRl6iKZ7xt3qUJkiGXuIMKKuJAu5jLMTGyY5At8BGDaJIhWdHWL6DOCXvhL6+qcBlSxyIR6LWXsEgSjvl6DH7/fYh3OyW7yeP7Ga0BjDR82sbtnd46XLfY9ukde6qSFgN7R0932+kEv/J/s2OG0DZvU7RpHdcYJgvHP34dsJmU1W5mUjwaYj3/T+mNesdOXCZcl4sLEx/ntpp6/8R6jU/h4dIuY7LbXD2off41Gg18OHXLaTiIWY3qvnh6xiSB8nV07s5uiH1yI/lFrtJ4wy+/oHnUJn7TdV/Y9cmu380StaHkG+kRfhe6Rl/AlGt1FUAv/ybIyqPV6p+0mdumMaCXF7hMEg5diFlxv26FjgrtN8ltSQvvzjZVlZsIvFnlGkoPa1SMzlVh2EI7GQqv6JSV5zCaC8HV69HQ9tJAFRkyc3Net9gQCIpHYY6KPYBf+TjExPIzTbsERkbFjc2H7tq+HTRD+yuSprgv5409fiogIGi3bQ2dQI7NqLfaVLUFm1TroDJ4paBfUrp5tZ87wME4rvbe4IzReGVNoSUeCMBMZGYqx43ti7T+HHbbr0zcNF11MuS/2OFj+GzYVfwqtoQ4iHs4pQC5WYVTCvegZNRXuJKh7/Cw2X9zYq2c0/8tgyRVZZWVesI4gfJfHnryEJ2fZQyaT4Pk5Mzxqkz9xqOJPrC18j4s+w1TqTmOoxT8Fb+Fo5Sq3vn5QCn9lQwO+2L0Ly44chqHRxWNX/EWg5RYJohnKUDnmf3EHoqJCWxyLiVHh0wV3ISpG5RXb/KFA25bizxy22Vz0KQyC88CTcyXoXD3bz5zBHb8uQ51WYy7L4GiCN0GlQpfYWA9aSBC+T12tGnOfW4rKktrG4jJN42SVQg5VqP3RQLBzpnYPGvSOK5bW6cuQV7cf7VQD3GJDUPX4C2tqcNuyJajXaa169I6ieu4ePMTp4iwEEWx8/L9VOH4037jylsFgXHKRlboSgLy8crz+0q/eNtFnqddXuNiu0m02BJWifX9gP4/bZ5m4LbC4AEgaI31u7T8Atw5wzxWXIPyVqso6rF6+Hwa9ce0Kc7+psU6PQS9g9/Zs5J5qtjYvYc7abct250JQuXrWZJ+0LfoWhEiluLpXL1zbuw96JlDiCUE0Z9f2bOh11qJv5ezhVW5FOLj/NNIyyE3anBRlH4TLklCtZYUfbemRCFHydkgM6Y6A7vHPmzcP7du3R0hICIYNG4bt27e75XU0OueTJZEhIXhx/EUk+gRhh5V/GJdStJH20gRzAbXxcoGBlKw1NvERHsJp61NktXvGJj7s1s/P68L/448/YtasWXj++eexe/du9OvXD5MmTUJRUVGbv9aA5GSzG8cWLJlrYHJym78uQQQKNdUN2L/7lN1pMUsp6zcgw4OW+RcZYUNxedrriFV0sNofp+iIK9LfQjvVQLe+vteF/5133sFdd92F2267DT179sT8+fMRGhqKL7/8ss1fa2a//tZ195vB3EAyidc/EoLwWfLzyqFrdPM4grl4klOjPWKTv5KmGoRrMz7FkNhbESpJhE4QIb8hB7/mvoClp/8PRQ1Zbnttr6qcRqPBrl27MGHChCaDxGJ+f8sWtjRZS9RqNaqqqqw2V+mVkIA7Bw5y2Oa348ew4dSpVrwLgggeQkJkLrUbP5EyduHCOh//FL6LLSWLUKkrgQBjvpDaUIuc2u34NvterMl/nxdwCyjhLykpgV6vR2Ki9ew1u19QUGDzMXPnzkVkZKR5S0tr3Qo1DXodz9a1icgY0fP1/r2tek6CCBbCTAunOwmSiIsP94xBfkxW9SYcrGBrfVsKkuV0ObC/4g/sLP25zV/b7/was2fPRmVlpXnLzc1t1eN35+fxMgwtV40wHmeuoD35+W6xnSD8Hebf56tr2Zsrawzp/O1n5wscBTMGQY9/Cj7gyy0asT/3uLPsZ57tGzDhnHFxcZBIJChstp4tu59kpxSyQqHg27kilzh/y+TnJwjbbN+cabzBxb/ZQYuLQebxAr5Eo1Ip96yBfsLe8t9Qqy9vvOc4eodl+RY1ZCJZ2aPNXt+rCieXyzFo0CCsWbPGvM9gMPD7w4cPd8trXtShY1MpZhswV8/FHTu55bUJwp/R6fTYuv64/QbN3D8N9bTyli2Yz3536WK0Br2hbT9Lr3dtWSjnZ599hoULF+LIkSO49957UVtby6N83AFLzFJKZTbFn3t8RCLc3I+ydQmiOYf3n0F1Vb1Lq2+xuQCqw2+bWl05qnWuh6uLIUGsIiOwMnevvfZaFBcX47nnnuMTuv3798eKFStaTPi2FXGhoVhwxXTc/usSvuauue6+SMRr8sybeilfoIUgCGsa6pstEsJ+ODYGz6xPdckVAyGRer1f6feIIEa3iLFQSiPb9nkFFlPkx7BwThbdwyZ6I1qxYEqVugGLDx/CqqxMXr9naGo73DlwML8wEATRkrwzZbh1+odNO8Q2xF8AElOiMP/r/0AV1hgBRFjBJHdB1m2o0LIgEkfyK0K0vB2uzXgXSmlEm+ph0F6St57JxTcH92Fr/hnsKcrHJ3t24NFVf+FEGRWWIghbhIbK0bVnStMcro3wclWYAh8tvItE3wHMnTwo9mqHos96+hfE3YTr27/vsuj7lavHGyw5ehiPrV7eYpS65cxpTP/5Oyy9+gZ0jqHiUgTByDpegC8//Bs7t2SatYqJvzH+3LiKkUgMHqH3yrs3IJx8+07pEzUVxQ0nsb/id4gggQBTHTERlOJIXNP+LcQo0uEugk7467VaPLfWGEXU/HrLYvjZ8Vc2rsNXl0/3in0E4UscO3QWj//nK+i0eusfDCvCJggQRCKIJBIMH90VM+8ag05dbYdhEy17/eOTHkDXiAuxv/x3lKhzIBcruT+/Z9QkhEjC4E6CTvhXnsxErdb+SvZM/NedykZRbQ0SVO798AnC133R7778Gxd9A4vbN+60aiMRAdfeMgLX334hFC6WcyCaxD9N1Y9vnibofPxnqiohZeNSB7BT+2x1tcdsIghfJPNYPrJPFNoVfQY79sOX6/H0fQuhbqC4fX8h6Hr80SFK6F0oehQdQpNTRHBz9nRZ0x0HwX/s0OF9uVj8zWbccOcYzxgXIGgNDThYsQYHKlahRleKcFkc+kZNRq/I8ZCK3Zf1HHQ9/kmdujjM3GVHescnoH0UlZQlghsWoWOqveMKP3+9iWfeE65Rp6vE19mPYHXBhyhoOM6FP7/+GFbm/w/f5sxCg74G7iLohJ/F6f9n4BCbx0yXgydGjPaoTQTha779f//aj6/+txoivcA3sM3g+CJQV6PmC7UQrrEi7z2Uqk/bPFbYkIXlee/AXQSdq4fx+PBRvNf/ya4d0AkGfpstwhIVEoK54yfiwvT23jaRILzG5++uwuJFmyBqVr9cZNJ9sf3qnNWVdYiIpCRIZ1RqCpFZs9VhmxPVW1CtLeHun7Ym6Hr8jD0Fefj3dDa0MEAQAXoIiFeF4uVxF3NXEEEEK/t3ZnPRZwimSd0WVeLtI5MFZV+y1ZytP+xSuz1lf8IdBJ3ws1DNq5f+iEMlRVa1+Ivr63D/yt/xx4lj3jaRILzGHz9uh8RBWXJ+KbDjxmePi01o+yzTQK3H7wr5De7Ro6AS/oqGety1/Ffu1mmO0Lg9t2ENtHrXvhSCCDROHM2HXm9/gtZuj59NA7C1eP279JfHSArp6lK7ELF7comCSvifXbcGGieiXlZfj/W5OR6ziSD8cU1dM1bZvHB40SCaiFWkQSpyHq6ZHNoN7iBohJ+VYlhx8oRLbfMoeYsIUkZN6NliUtcSczFfyzDPRq1PSYuBXEHZu65m7Q6LvcZpHf4+kRfDHQSN8J+tqYLWxRjjkrpat9tDEL7IlBmDIZNJbLtsWH0eJloGA0TMrcNCPE1F2wBccf0wj9vrz1wQfw3SQ/vaOGK88F6S+rhbKnMGlfCzVbdc5cv9u9Gg07nVHoLwNUoKK7Hsm82sDkPTzuYJXM1um6I6h47uikuvtp0fQ9hGIpLh6oyXMS7xLkTIEs3lmDuFDcUN7d9Cj8ixcBdBE3uVEhaO7rFxOFpa4rRttUaN304cwTU9+njENoLwNiePFeDJ2z/jSVi8Ng+vu2wRr29ntNwuIw7Trh+GqdMHQSKVeNZoP47oOVi5FjtL/0CROgcykRzdI0ZiUMwlSAhpD7HI/Z+jOJh8ao8MGeFy+1c3r0ODjopOEYEPK7Mw5+FvUFfbKPqWOCjZkJQShc+XPojLrhlKot8K0V+S+xp+P/suChoyoRe0aDDUYn/FGizIfgw5tfvgCYJG+BmTO3XBiNQ0J62MJ3mFugFP/LPSI3YRhDfZtekECs6Ww8B89q2gurLebTYFKrvK/sSxamPGrmAREmWAHnpBj8W5r0Ktr3O7HUEl/Iy54yY23nJ+kv+eeRQ5leVut4kgvMnR/blNSVumhBYX4vFDlO6rHhmICIKA7aW/OdAeARpWrbNyrdttCTrhz4iMwk29+9kOQrYMUWAfjkiElS6GgBKEvyIWi41JjQZL4Xcu/hdPG+AxGwMBtaEOFdoCpyGc+fXu15ygE37Gs6PGooO57LKF4DMsQpiZ8Ndqyc9PBDb9L+gEoXnWremmHfFnq21dOXOkZwwMEMQuTtrS5K6bUEik+G7aNca6/Bb1eprno+sMBnSOpkXXicCFZdp+9jorBMZ+C81+AJaBPBYXgLCIELz7zX8QFaPynKEBgFwcglRldx6yaQ/m6+8UNsjttgSl8DOSw8Ixo3tPSOyUl2V7IxUhmNSxs8dtIwhP8d87vsTR/Weaonea9/CZ+PNJXxGGj+uB/755LX5cOxsduyZ7y2S/ZnjcVRDsVLljF4QoWRK6hA91ux1BK/yMJy+4kF8Amos/u89GA+9NmMpHBwQRaFRV1OGR6z7G/u0nzfvMvwJb7h2DgAefuRwXTupDoZvnQbeICzA+8TZ+29TzFzV+8uHSGFyfMccjrp6gVjVWrbNzTCzOVFdZ7R+YlIKnh4/BoKQUr9lGEO6iKL8CT9z0Kf/LsDnmtUzeYnX25RKERSo9Z2QAMzxuBrqGD8Pu8uUobMiGXBSCbhHD0TNyNGRiz6z1HbTCf7C4ENcs+wFqvc545jd2clh9qkOlRVBKg/ajIQIUnVaP+a/8hj9/3G53BS2Ln4IVY6f2g1xOv4m2IlbRDhcn3QVvIQ3WeNon/l2BBr2uqTa/KTMd4HV6nlq7Er9fNdOrdhJEW/LxS79i+U/bm+TdmfhbuHwuowJs50WltgTbSn/HvvK1PFM3ShaPwTGTMShmMuRiBTxNUPr4D5YU4khpsc0FWRhs/4FiYxuCCAQKz5Thr5+2u7xOSvNLQmr7tl/3NVgoajiNjzMfxpaS31Crr+BlGko1eVhZ8BW+OjkbDR7I1G1OUAr/yXLXsnGzykvdbgtBeIINKw8aw5ddwDKzhT2iz+D2UIV5xvcciN6FH0+/xsswtIzmEVDQkI2/Cxd53K6gFH6V3EGquUVM/zs7N2HZicN2RwYE4S/UVNU3LbDi5HxuntZy3X/cVx440MmpPYhSzVm7IZxs/97yNR7v9Qel8I9MTUeozEZ9ftOZ3njW51RV4JF//sJDa/6A3sVFXAjCl2io0+CvH7Ziw597oVdrWcaWUfhNVTgdXARY/Z6H51yJQaNcWx+WaNnb31/hvO6OTtCgRJ0LTxKUk7tKmQz3DxiGN7dvtC36jZh6+n9mHcOw5HaY2YtqkxD+Q2lhJZ68cT7yckqs53EtOzEWyyyKxSJkdE5Eu47x6NQ9GRdfOQgx8eGeNTqQyi+feRcHKze41F4s8qwUB6XwM+4bOAw1Wg0+2buDl0cVnLg/vziwGzf17M/r+hOEP/DyA4uQd6rEfseeXwDEEElECFUp8O5P9yGtQ7zH7QxENhYvcVn0VZJIJIZkwJMErfAzAb+r32Ae0vn14b28Lo892G+GlWdmBdvCHM0PEISP8NuijTi653RjGYZmBy36LqwfM3JCT9z55FQktovxtJkBiV7QYSsvv+waI+KugIR6/J7hbHUVrvr1OxTW1bo8eWuvrg9B+MIqWns2HEfWkbOoLq/DL1+sty36DPM+AXM+uw2DR3fzrLEBTon6LOr01tUA7DEoehKGx10BTxO0wv/Yv8tR5KLoszC4/gnJfG6AIHyN4/tz8eoDC1GYWwaxRAyD3gCIXIvbkFHdHTfgWkdyYPREXJZ6H7xBUEb1ZJaXYmt+LvQu9vTZxeGe/u6vmEcQrSUvpxhPXT8PxWeNuSlc9F1FAHKOO14YhGg9IeJwSKHkgVOOJKZP5IXwFkHZ499XXODyVZH9jJ4aNhoT21N5ZsL3+PmTf6FV61ouku4iJw+fbXObgpV6fS3+OPs59ldsgIErBxtNCRALAsQiwRxZxapyxilS0V7V22u2BqXwy8SuDW/HZ3Tiot8lmtLVCd/j1PECrPpxKwxs9SwTlosLuYCUXD1tgsagxudZz6Kw4XSzZC2RcUVLQQQJDNxtrJJG4rr0/3o1QjAohX94ShqfqHXk6mF1+N8ZNxURCs8XUCIIZ+zZcAzP3/aZtegzTBO6Itf8/EPG9XCfkUHErrI1KGjIsXNUxL8SmSgUQ2InYnT8DIRKI+BNgtLHHx+qwoyuvezWLmF7b+rZj0Sf8Enqa9V4+e6veJllu3DXj2P3jyo8hIS/jdhZttppm3qDGhuK/0R27WF4m6AUfsacURdhVGqGVZim6e+odhloMGgx+NuP0GfR+7jmj+/x58ljVLOH8An+XbYLdTUNvCSAXXhZhmYLqDfjlsem8LIMxPlToTUmyjmDuYG+P/UWStXenVQPSlcPI0Qqw4KpM7Dp7CksOX4YhbU1fBnG7rFxeGPnemwqEMyuoB2FZ7Gt4Aymd+6Jt8dMdbnKIUG4gxP7TkMiFUPf3M1jE+N6uc2RyiUYO41KkLQVKkkEGvS1LrVllQK2l67AlJRb4S2CVvgZTMBHt2vPN0atVoOh330MrYEXcTC3M/X0l2QexuDEVNzYo7/XbCYCm+wjZ/H3D1tRnFcOpUqOMVcOwcAxPdBQr8HapTvxz5IdyD6aD73LYZstRZ9NKl5yw3CER4a2uf3ByqCYi7C64Fsr3bCPgMyaffAmQS38zVmWeZjX73H0E/ri4C4SfqLNYUL+0ewf8Ncii8KBAFb9sJUnZYVGKlFT2cBFm7t4JC5E47DJXZHImNRlMEAiFvPXGTW5D+54+lL3vZkgZGjMRGwvXYkKrWuLN7l2gXAfJPwW7C7Kcxjtw/ZmVZbxkYFKRjV7iLbjh3eXtxB9Eywpq6bM6EYQTIJvXjLUttsxtVM8Jl8/Ap16pWLLqoMoKazilTYnzBiMbv3SqdhgG6OUhuGuTq9g3onHUKevdtq+U1gfeBMSfgvEIjFEdpebboJq9hBtXTN/8cd/u9aY1dNn4s8mbsVi4wWg8Xw0lWu47elLcc19E8wPGTCS6ul7gih5HGakPYivc1510lKEYbFT4E1I+C24MLU9fjp+wKnos4qebHKYIM4FjVqLv3/YguWLNqDgdDEkUinqquoBCet4tAIm/o2i36V/OnoN7ogpNwxHepckd5lOOKFr+AB0CuuLrJoDdjuQV6begzhFCrwJCb8Fk9p3gVIqRb1OZ7eNXjDg5+MHcVefIR61jfAOddX1KC+oQHhMGDQNWqz4ai2y9p2CTCHFBZcMxKjpQyFXuN4JqK9pwOyr3sXRXdl8dGnssBvHmecET9gS8OArV6NL3/RzfRbiPGBzLlm1B7Gr7F8e1hkmiUCXsAHIqtkHA5pyLaJk8bgq7SF0COsFb0PCb4FcIoGUr0hkeaU23W/8KwL+zT1Jwh/gFOQUY8HzP2Hdz1uh1zX9eFkHm2ktc6us/WkLEp79EW+s/D+kdEp06Xk/e/4XHN9zip9KbTW9FxoWQr18L6EzaPH96XdxqGo7xBDzGj2sFg+L1++g6onhsRP5/nahXRAl951Fbkj4myHY3WMUfYbG4CBjkvDrntuRrSew5vtNWLlgLXSalsXPBHYSiGDeX3K2DE9PeRVfHHwbMrkUFSVV2PLHHtRU1CK5QwKGTu5nHhHUVNZh9febGytoGk8mq0lWC3+9q7AF1KfePAoKJQUbeHppxWPVe7Gq4HvkN5ZqMBZmMyZpMXJqjyBWnoir0u6Hr0HC34wBCSnYnHfKYR2fjpHRHrWJcD9lBRV4fvqbOLotk4up+SrfVFLRLNLmM0Mk4hcANjrYtHQHTh4+g8UfrIRer4dYbJxoDY9W4eEPbsWoywcj60AutBqjG9FmVA27mEhcE35mo2AQ0G9EF8x8bGobfAKEq5RpivDFyVdQrD5rLH0gsh+yubt8HSYl3YhwWRR8CRL+ZtzWcyA2nLVXbMnIqlMn8OTgCxGnVHnMLqJtKc0vx+qFa1GQXQRVZCg2/roT+dmF/EdsdOw1yjvvABgvBDx+nvnjG3/o/AiLrIGAz579ASV5FeZeu97AyvCKUF1Ri1dmfoSXl8yCItSF2k+maB0bJKTFQq6U85FDSvt4TJ05CmOmDYJURhU2PYXWoMYnmS+gUltq3OHkOs1GASdrD6Jf1Cj4EiT8zRif1glj23XA2jPZdttUatT4+sgePDrQt75MwjV+evNXfPHf77hIM+Fmgs6XXG7q3DfDVPHS6OBn7h7jhKwAQTBAJBKjpHEhFMsJV4G1YSIuBhbMWYw3/3oaISoFGmrV9o1jr8NX0BKx+GJzeYVpd47HrbMvJ5H3MvsqtqDcxSQtE3rB91zDXq3Q1L59e+MPyGJ77bXXvGlSY2ak4ws5K+GwOPOQB60i2opVC9fis6e+4W4Y5qZhE7cGfdMXbj+xydZySkz8Td1/G65BJv5sMwg4sScH5UWVuPyOcebsW6dF1gQDrrrvYvxy7G3c+dyVJPo+wIHKbU3fuZ2vvTntlL63iJPXe/xz5szBXXfdZb4fHh4Ob1OurncacVGpbvCQNURbwcoWfD3nZ7vHXc5m5WE9jclTzl/UXF6hqqwGM5++HLkn8rFl+T4+UmDib/N1xSIMuLA7bqFevk+h0TNtMH3vxkg/e3PyLJqnvaoHEkJS4Wt4vSYrE/qkpCTzplJ532/eISLaYXYu+9DSw31rsoZwzqlDudynb4tzKmHg4mNM4h7fLpZH/jy78F689MOD6DaovU1RV4aHYOZTl+HFb+8n0fcxkpTpXNBbxPw1GxCykM5wWTSuSXsQvojXe/zMtfPSSy8hPT0dN9xwAx599FFIpfbNUqvVfDNRVVXV5jZd160vfj15xO5x5g6+qTsVavPHBUxscx4R9eaoHwcdBYkYQyf2RUxipPG+WIwhE/rwjRVN27fhKIrOlEEilaDn0E5ISo/ltwnfY1jsxdhUstxiD5/pabxlFP9QaRhGxk3F8NgpUEm978HwOeF/6KGHMHDgQMTExGDz5s2YPXs28vPz8c4779h9zNy5c/Hiiy+61a7hyemY3qknlmQdtlnKeVBCCqZ38X72HdE6Ujsn2a1jb/K3u9TzN4V12nPTNEOpUuDOV661eYwthDJwbE/nr0l4FYNgwN6KLdhYshICFNAJWt7vZylbTWG+IvSIGIib2z8Bici3L9wiweEMU+t5+umn8frrrztsc+TIEXTv3r3F/i+//BJ33303ampqoLCz7KGtHn9aWhoqKysREdF261jqDQZ8vH8bPj+4k/v8GaFSGa7v1hdPDL4QSqrV45e8esN7WPfLlpZr1bIfg7NSx6Y1bMVi849dGiLlFxI2gWvvYvPiL48irUtyG1hPeEv0vz71PvZWbDWW2bAaIQp8EfVoeSxGxU3FqPipkIi8159mehgZGelUD9tc+IuLi1Fa2hjjaoeOHTtCLm+ZaXjo0CH07t0bR48eRbdu3dr0jZ4rGr0ex8tLeI2eLlGxCKVyzH5NSV4ZHhr+X5TmlTdm0Da5Y1hPXhYig6Ze21T33gzP4DKLPkug6jW8K6594jLMuf5//LnMI4nGQQA7/vqfT3O/PuG/bChegSVnF9g8xi4ECnEInus5D0qp9xe2cVUP2/yMjI+P59u5sHfvXu7/TEhIgC/V7+kd51odFsL3iUuJwbztr+Gbl37hZRnUdWqIxSJccOkg3PTsVWjXLQUbftmK/OwiPrEa3y4OJXnl2LnmIA5tOsafIyYpCpfdMwFXPTwF8hA55m16CYs/WI71i7dDXa9Buy5JuPzuCZh861gSfT9HEASsK/7L/nEIaDDUY1/lVlwQOx7+Qpv3+F1ly5Yt2LZtG8aNG8cje9h9NrE7ZcoULFy40OXncXePnwhctBotqkprEBqhhFIV4rR9Q50aWrUOqkgl76AQgU+drgb/d/BOh21YlM/QmLG4Nv0/CNoev6swH/4PP/yAF154gfvsO3TowIV/1qxZ3jKJCDJkchlik12vuxQSquAbEVyLMzlH5GI738Frws+iebZu3Qp/h00Cb8jPwYnyYh7mOTGtCzpExnjbLIIg2oAQSSjSlB1xpj7b7jq5rOZ+t/C+8CfIAXke/HsmC09s/Asl6jrzvrm71iJVFYG3Rk7F8OQMr9pHEMS5ozVosKnkb5Rry+yKPnPzRMlj0StyEPwJ/xqf+BCb80/h9jW/WIm+ibO1Vbhh1Q9YffqEV2wjCOL8UOsb8OGJl7H07Deo0lbyitmcZvofJo3E3R1n+3zcfnNI+M+R13atdZjvyY49suF31Ou0HrSKIIi2YEXBYpyqy7RQehEXf3aPhcNIIMWMdrfjvz3eRUKId9fPPRdI+M+BU1Xl2F9a4LRdrU6LMUs+QVFdjUfsIgiirVw8a2y4d1jylnHTCnpESKOhkDiPBvNFSPjPgVIb7h17FNXXYsbyb/gkMEEQvk+pughqgzFb3x4scSu37iT8FRL+cyA5tHWFl3JrK/FnzlG32UMQRNshETuPeWGjAZbN76+Q8J8DyaoIDIpvjV9PwPPbV7vRIoIgzhdBEFDUUIBKTYVLSy3oBeP6yf4IhXOeI/f3GYHb//nFeUNet0WEck09tuTnYHhyew9YRxBEazhQsRt/5P2EvIbcxj2mlfhYBdbAE37q8Z8jo1PbI0Luahansftw97ql0Ol9b/1NgghmtpduwKcn30Z+wxmLvU2llm31/pmPnyV3+Ssk/OeITCzB7T0H21+cl+3nx5rOmiqNGkMXf4jPD2+HjiZ7CcIn4vV/yjVW3rQVxWPc3/JHztoOiL4A/goJ/3lwX+/huJC5bkwib7lxWnYVyhrq8cquf3DPuiUk/gThZfZUbIPa4Gj9bNOiO5Z7ROgbOQSpSv/NzCfhP8+SzV9cdBXmDptk7hs0YX92iB35+0wmlpw86AErCYKwR4m6yIWsWxEkEPN1dBn9ooZhZvv74c/Q5G4buHyu79Yf/eJSMPXPL20LPl+M03IkYOSjg5txTWf/Ku5EEIFEqETFV9hyxsj4CYiUxaBf1FAkhPj/amrU428j4pR2JnpMYm9jLiCnugJlDa4ngxEE0bYMiB7m8Dhz62SEdsJVabfh4qRpASH6DBL+NkIlk9ue53USD/xz1gE3WUQQhDOi5bEYGcdWzrIXpQFcmnI1Ag0S/jYU/rGpHSFpHvRr/3zibC087Va7CIJwzFVpt2B03ATeu2f/xDD6/JWSUNzW4UF0j+iDQIN8/G3IQ31HYUNejvNuPkEQPoNEJME16bdiYtLl2FexA/X6OsQrktA3ahBkYjkCERL+NmRAfAo+Gz8DD6z7FbU6jfECwCd17Xf7+8YmedRGggg2tAYtdpZvx5aSDajQViBGHotRcWMwIHqQVURPlDwGYxImIRgg4W9jxqV2wq5rHsS965fh3zOZDkTfGOZTo1V72EKCCB7qdLV45/gbOF2Xw904LPGqsKEAh6sOomtYdzzYZRYUkuBbR5l8/G4gRCrDl+Ouwgi+9KKtpXua9i3Lplh+gnAXC3O+wJm601aZuULj3xM1x/Bz7ncIRkj43YRIJIJCImns8FuKP6/8xDeRGCjT1OP6v7/FrmLLOiEEQZwvpeoS7KnYBQNsx+kLELCpdCNqdMG3UBK5etxIgjIcEpEYelsnnoUHaFvhaVy16msoJFKkhIbjus4DcEOX/giTBd8QlCDaiuM1x5y20Qs6nKzJRN+o/ggmqMfvRq7q1Mf2Yg3N3P6m8YBar0N2dTle2/MvrlixkJK7COJ8cKWofpBCwu9GBse3w5T0btY67ySu3zQEzakuwzPbV7jROoIITHLrcrGldBPq9I6XT2SIIUZ7VUcEG+TqcbOf/72R0/B66L/48ugOl0TfhF4QsDz3KCb/+SleGjIFQxLS3GkqQfg9+fV5+DLnc2TXNq2Fy0qrGUtltez9iyDG0JgLECGLQLBBPX4PVPB8uO+oc3y0CMcqSnDt31/j7X3r2tgygggcStWleO3oKzhVyxIomzBA4JslosYeWHpoOq5Ln4lghHr8HoBN8Lamt2+LeYc2oXdMEialdWsrswgiYFhe8Cfq9fU2IniMsftM+lMUyag31PH6PKPjxuCC2BEBm5nrDBJ+D9Xx6R+bjH2l+edVzOHTI1tJ+AmiGays8ubSjXbDNo1OHTF6RfXDtWnXe9g634RcPR7i3l4jzkH0rR+xp+Qsj/whCKIJjUHDN0ewPn+lttJjNvk6JPweYmJaVzzZf2wrP3Qba31SiBpBWCEXy6EQO855YX79aFmUx2zydUj4Pci9vYZj5SV3Yma3QTzUk/v+HWIt8j2iE3g5CIIgmhCLxBgZN5q7c+zB3EAj4kZ71C5fhoTfw3SNiscLgyfi54kz8Wjf0U5F37LG2+3dhrrfQILwQ6YmXYIwaZhd8b8wbixSlaket8tXIeH38ghgQmpn6zo+dmYCbugyANM7BN6CEATRFkTJozG7xzPoGm4d/MBcQJcmX46bMm72mm2+iEjwc6dxVVUVIiMjUVlZiYgI/0zE+OzIVry2+9+W8cYioHd0Eh7uOxrjUzrzhDCCIBzDyi6fqT8DmUiGbuHdg6rscpWLekjC7yOwuvy/5hzE5oJTEItEuCS9Byand/e2WQThdbJrc7CrbC80BjXahaZiWMyQoBLz1kDCH+AU1Vdj1dljqNaq0SE8BuOTu/IsYYIIFGp1dfjwxHwcrDrMffdsxKsX9AgRh+DezndiYHRwVdRsSz2kBC4/Q2cw4JW9q/Bt1i4e2skiGlgF0AiZAo/3HY+rO/SHTEwXAMK/Yef2e8c/xPHqTH6fJ2c1dlEbDA343/GP8EzPp9AlvJN3DfVTaHLXz5izZwW+ydwJg2BMQzeVfa7SqvHcruUYsuwd/O/gOkr0Ivya4zWZOFp93EE2LvBb3p8etSmQIOH3I87WVuD7rN0OM4BrdGp8eHgj7t74I7QGvQetI4i2Y0fZLqdx+fsqDjjN2CVsQ8LvR/yVe8SlyB42FthYmI1fTx3wiF0E0dbU6xtcOs/VehL+c4GE34+o0NTz+uKu8r+D691qD0G4i+SQRJs19C1RSVVQSUM9ZlMgQcLvR6Spomwv5WiH/PoqHK8scqtNBOEORsePMNfNtwXrAF2UMIYHNxCth6J6/IhL0nripb2rWjVxO2vrUsQrwxAmk2NSux6YmNoDcor6IbyE1qDF9rLdyKzJQZ2ujrsuI2URSA9th6ExAyATG2tRRcoicXP7G7Ag5xt+AbDs/TPff4oyGZcmT/HiO/FvKI7fz/jx5B78387WRTOIxQLvIbHM4HRVNBaNmYmU0Ei32UgQtjhadQLvHP8Y1boam8dVklA82OUu9IvqZd63u3wvlp39Hdm1p/h9FsM/NmE0rky9DKHk5mkBJXAFMCvOHMFb+/9FTk2ZC60FiJuNhiUiES5P742BselIVIZjRGJHGgUQbqNEXYZlZ1fg78L1fCFEkwOneZwC69kz182cXk+jY1iG1bEKTSWP4ImSR0HeOCogWkLCH+Cwr+3eTT/j77zjjlrxH5ezQKAohRJP9pmAq9pTJiTRtqwr2oL5WV9bxOMbIHZwPjI3zqDofpjV7V5PmRhQuKqHNDPipzDf6BN9x0Nqd3JLaFW00H93/Y4nd/yKnSWnabEXok04VHkc8zIXQScYYDqlmOY7Or3YBWJn+V4+F0C4DxJ+P6ZTRBw+HHEVd9NYh3k21fJ3qaBn4w9x2en9uGHdQkxe9TH2lZ11j9FEwMM6Divy12HO4Q+g53NLYughhk4QweBCn4LH51Nillsh4fdzJqR2xdpLHsDDvS/EqMQOGJXYEaFSmeuiz2jW7lRNGWauX4RjlYXuMJkIcH7N+xufZf8IndAyc1wPicMev2mSN1SidJ+BBIVzBgIJynDc37NpNa8PDq/DvMMbWtT3t4mNiwN7nEavx4t7luOLUTdCScs9Ek5g+SVHq7JQ2FCC707/aqcVd/Tw3r/YTg0eHp+feCHF57sZEv4A5O5uI7Gj+DS2Fuec83Mw8d9Zehoj/nwLt3UZjvt7XOjCGsFEIFKtrcXKgg1YU7QFldoaxMqjMDFpJC5OHIkQiQJbSnbjq5xfUKqpcOHZWEx+k5/fclTKLgfJykRcnjLZbe+FMEJRPQGKxqDHzyf34LX9q6E2OEj4cuoOMkYGTc/oj7mDLm9jKwlfp0RdjtkH3kapusIqiYqdNmmhKbg8ZRw+yvqm1c8rgY5H95iEn4VojokfiWvSpiFMqmrLtxBUVFE4J8EobajFXZu+x8Hy/HMQfusF338eewf6xtCC1cECk4ZZe+ciuzbPLPqWMfjMLSMVs0nb1pcAl0LA7R2uxYDoXtAKOsTKY/jogTg/KJyT4MSGqLB4/B14uu+E8xJ95uZZcmqfe4wkfA620tVLh+fjpFn0jSeCYOGqYaGX5yL6UbJwvNL3KUxKHouEkHikKpNJ9D0MCX+QxPzf1uUCDIpLM/5+TZtdBJuTdzk1pfgj9wB+Pb0P2dWl7jSZ8DI/nl6BXeWHGu+Z+/nm4+fiJmCZuVKRBLO734vOYe3bxE7Cx4T/lVdewYgRIxAaGoqoqCibbU6fPo1LLrmEt0lISMATTzwBnY5WjnKX+H8y4joMik1rxWNMt9gSjwK2l5zEEzuX4OldyzD17w9x+8ZFfO1fIrBgNe5/y/vXQYvG3n8r1T85JAEv9HoYncNJ9ANW+DUaDa6++mrce6/t1Gu9Xs9Fn7XbvHkzFi5ciAULFuC5555zl0lBT4Q8BN+PvRWfj7we7cNimh3lA3gbZR7Y4N74I2/6nRvbbSvJxox/P0GZutaTb4NwM5k1p11aCMVVMkJT8Urvx/D+gOfQI6Jzmz0vce64fXKXifkjjzyCigrrUK/ly5fj0ksvRV5eHhITE/m++fPn46mnnkJxcTHkcrlLz0+Tu+dOlaYBi0/t5cXeDIIBy88cQp1eA73VKcF6+/Z9/wyVVI6XBkzD5NSmqoqEb3O8+hRW5G9GZk0uarR10EOHcEkoBsb0RKewVLxzfKGTZ2AdAhG6RaQhs8ZYOdMez/S4n0/iEu7HVT30Whz/li1b0KdPH7PoMyZNmsRHCIcOHcKAAQO8ZVpQjQCY79/E7V2G47EdS3CooikCiIfcmeXeOBpo3lWo1Wkwa8fPvN0kEn+fhvXzPs1agt/y1rWoc1+CSpyqy4dYZKyS6Wihc3ZW9IjoiDm9H8LrR+djT8Vhm60mJo5C/6iebngnxPngNeEvKCiwEn2G6T47Zg+1Ws03yysc0TZ0CI/FkvF34UB5Hg5X5EMuluLrrK04UlnQJP2C/VIQrx1YiQkpPawSvdiC7/8UHMW/+UehNmjRNSIR09MHIVFJozNv8Gf+Bi76jCbRN7rzTN8rG/ExyZewC4PItkMgOSQer/R5hF8g/q/H/fi3eCt+zv0LRWrjpH9qSCKmpV6M8QnDXVonmvBh4X/66afx+uuvO2xz5MgRdO/eHe5i7ty5ePHFF932/ATQJzqFb4x1hcdxvKqQi4Gz329hQxV2lZzC0PgO/H5+XQXu2rIIp2pL+RoABkHAP/lHMf/4Ojzb91JclTHYE2+HaIS5837JXdNsr1H0LTF9z6xyPtd9C/FnsfsRsjA83+s+c1kFJuxM4NlWp6vnl5NQSQgJfqAI/2OPPYZbb73VYZuOHTu69FxJSUnYvn271b7CwkLzMXvMnj0bs2bNsurxp6W5HqlCtI7p6f2x8qztYbwtStQ1yK4pwQ/Z27H41C5z1rBp3oD3MgXgxX2/IzU0GsPjO7nNdsKa/IYSFKvLbYq+LY1m31XnsDTU6+tRoqlAuFSF8YnDcGnyGETJbY/YQqVUXC3ghD8+Pp5vbcHw4cN5yGdRUREP5WSsXr2aT0j07GnfJ6hQKPhGeIZRiZ1xYWJnbCjMdCl6+0D5WTy9+xcuKI48xMyPPP/YWhyqOIuzdeWIlCsxMr4LDlTkYnW+cZK5e0Qyrs0YioGxFP7XFrBcjOY465SzrN1vLpgLFQl6QOE2Hz+L0S8rK+N/Wejm3r17+f7OnTsjLCwMEydO5AI/c+ZMvPHGG9yv/8wzz+D+++8nYfchmEC/P+xavH5gFX7I2W7Xx892xSpU+PrkFuMEsJPnZW6f3WWnsbfsNCRi43rAX2ZubDxqdCvl1pZhRd4B3NxxJGb1mBS0roNTtYXYULwftbp6pIbG46KEgVBKW/8bkcJ6eU1TmK6jj5WVVmajBBL+wMJtws/i8VlsvglTlM6///6LsWPHQiKR4I8//uBRPKz3r1KpcMstt2DOnDnuMok4RxQSKZ7rPxX9Y1Lx9O6lLY6bdCM5NAJVujqbPUt7MMG3jihuum16nkUnN6FrRBIuaxdcS0M26DV4/ch3WF+832r/u8d+xoi43ni82zWIlIfhTF0RFp9Zi/XFe/hj2injcXnqaExKugBSi7WUs2pzrZ6nqRCDY5RUTiHgoCJtRKv4O+8IXju4Enl1TXkZqaFRmN1nMh7f9ROP4nENi0qPLdTHOleAhR12CovH/d3HY23BMX5B6B6Zgsvb9UekPNT8KLZ/Z+lJ7Co7iRNVBXxlsnahsbg8bTAyVHHwZQrqy7Cx5CAX7gxVIobH9sScgwuxqfSgnUcIUElCkBgSgdP11gvmmMJvB0R1xZw+/+HRWYwNxXvw2pGvrJ7D0fq37HPvoErF/wY+1RZvkfAAVJ2TcGt0yJ6yXBQ31CAhJBz9Y9rxCI/+v7/Yit5+y0QwZ8ea35eJJHh1wFW4OLk3VuUfwNuH/0CpptosfKLGKBQ2qrit01jc2+Vin3MXafRavHPsF6ws2MmFlrnW2GcYLlGiRl9n9/NhEfgSJ3n37Plubj8FN2RM5PfLNFW4ZeuzVgv0GEuu2Xf3PNPzPxgW2+fc3yDhUXw+gYvwX5jID4rNaLG/b3Qq9pWdcWHlr7boawi8nO+Tu3/E/V2L8XHm32YRY5h0zGTLV1lrkRgSiRnpw9DW6Ax6bCo5jJzaIu4WGR3fE8nK5iUxgDpdA347uw2/521DiboK0XIVQsQynKot4AazKBrThZOJvmOa0urswZ7v17PrcW36RZCIJIiRR2BMwiCsK9pl/lys3D3c3298XqlIins7X0OiH6CQ8BNtxo0dh2NP2U8O26Qoo5DfUMH9+vY7302i5qwN+zc/c43NePTmMPG/Im0ICuorUKyuQow8DOmNLqBSdTXfFy1TIVFpu6igLbaXHsecg9+jQlvLE9fYpPX7x3/D5KRBeKLHdCgkxmUrK7W1eGDnRzhdV2xOnKqvZ4mIxttiLrrWiVT2MWbcOpuYZVRoa1CqrkJCSDS/f1/nq5FXX4Jj1TmNoyHjyICN4uIVUbggti/SQ5MwJmEwTegGMCT8RJsxMbknbugwDN9lb+MuCyaCDJ7JKwh4c/DVuDilFx7f9SPW5B+x4xZyJvgtxZ+9jimSyNHDChsqcfPmeThRnW9+nShZKE8uK9c2FZrrH90e93WZjL7RLUc1JrJrCvFF1mr8W3TAvE8nGMx2ryzYzUckL/a5kd9/5+hS5NaVWJVIsHoPrGRxq0ZCznv8JiwneFmc/Rv9Hsamkr1YVbCVr6wVq2BLKV6AkXH9rdoSgQv5+Ik2hZ1OLNuXif/B8rOQiSUYl9QNN3a8AF0ijCU5ihqqcOOGT1Girm5WEM78LM0qhDpGLDI09ZadtWXPbtGztnx50+uxnjBzefxv0O0YHNsywey3M9vw+pElLWxu/jyMRRfMQoRMias2vuLUBSZhy5C3ol4ue9/OJmczVEmYP+hJn5vbINwD+fgJr8AEZmxSN77ZIyEkAt+PvhufnViPZbm7Ua/XcrEdEd8ZCcpw/HF2D+89t/q1XWjDxNdSWy310OQ6YW1YlYJXDy3GL6MfN5cmYByqPG1D9E2vbl3PiI101hTuQ6/INBfmPUzGuNoPc+7aYqOLa9MmkOgTLSDhJ7xCXEg4Zve5BI/3moRKTT1UUgWUUmMp7rVFR1ChcTa5CWuh5T15415HMudoJGEaARjdRgLy6suxpzwHg2KaypC8c3SZo2e37vkDqNbWQ9zmy1645g6bmTEZ4xMHtfFrE4EACT/hVWRiKb8IWJIRGosqTb0LvWRjYWEugCLjhKdlKKctOXaWrdp8/5m6UrPwq/VaHK0669Qm06sxN1aKMga9ozJ4LL2msW6RbUyr2TpHJVGiT1R77Cw/DAnE0FsUx5CJpBiXOBAz2o1De1WyS89HBB8k/ITPcXXGUOyrsM4ybUmTn571qNkkrVQs4pE5luIfJg3BmIQe+DNvj8tzBpaEW0S2bC450qrHsgnuSckDESZVYlrqcPySu9HG5K7pvTivfhovj8JlqSMwrd1Inry1ryITf+Vvxqm6Av4aYxMGYkLiEMq0JZxCwk/4HJNT+uCPs3uxreSkXaFkmPzobAL5vcEz0SMyBbvLcnhoZrwiHL2i2iFEIudx9ttKT6BUU+M08sdyNMAeOzyuq/lYqbqmVe/jgS6XIloexm/f3XkqztaXYnNJUy/dlFzGE7fYLQcjkVf63IkL4qyLF/aP7sI3gmgtJPyEz8FCCt8ffBM+OfEvfjy1HTU64/qvrFffISwOx6vyUG/QQioSY2JyH9zeeQw6hhkrvA6J7Wjz+e7vOglzDi4273MlBv62juPM8w6MOIVrUWNx8gg80O0SXJzUtIocc/W82vcW7Cw7gb/ydqCwoRyxCpZQ1QeLslfy2HpTbD6DmyYCQsRyPN792haiTxDnA4VzEj4N86uzhVyY24TV22G9exb/X6NtQKhUzucIXOXTE3/j86x/zDVqmou/aZKYvdZtncbjzk4XWUXEMFsuX/8KanT1dl8jXhGBpaP/26pImmptHb49tQZ/nN2KWn09tyE9NAEXJw3G1eljzbV2CMIZVKuHIGzw55ndeOng4kYXkoVfXQDahyVgWrshmJIyAFFylc3H/5W3C68csp2dzFw37w/6DwZYRAG1Br1Bz6ubMhcT+emJc4Hi+AnCBpe0G8gzcn85vRU7yrJ4qQKWqXt9+5HIUDlfZGhqyiDuYvroxF98ItlEe1UCZnW/4pxFnyERSxAtt45wIgh3QD1+gjgHmLvpQEUOyjW1SAqJQveIdpQoRXgd6vEThBth0UT9o8+9d08Q3qStUwoJgiAIH4eEnyAIIsgg4ScIgggySPgJgiCCDBJ+giCIIIOEnyAIIsgg4ScIgggySPgJgiCCDBJ+giCIIMPvM3dNFSdYqjJBEEQwU9Wog84q8fi98FdXV/O/aWlp3jaFIAjCZ3SR1ewJ2CJtBoMBeXl5CA8Pt1ski10F2YUhNzc36Au50WdhhD4HI/Q5BNbnwOSciX5KSgrEYnHg9vjZm2vXrp1LbdkX6s9faltCn4UR+hyM0OcQOJ+Do56+CZrcJQiCCDJI+AmCIIKMoBB+hUKB559/nv8NduizMEKfgxH6HILzc/D7yV2CIAiidQRFj58gCIJogoSfIAgiyCDhJwiCCDJI+AmCIIKMgBf+V155BSNGjEBoaCiioqJstjl9+jQuueQS3iYhIQFPPPEEdDodAp327dvzbGfL7bXXXkOgM2/ePP7eQ0JCMGzYMGzfvh3BxgsvvNDiu+/evTsCnfXr1+Oyyy7jma3sPS9btszqOIt1ee6555CcnAylUokJEybgxIkTCDQCXvg1Gg2uvvpq3HvvvTaP6/V6Lvqs3ebNm7Fw4UIsWLCAf/nBwJw5c5Cfn2/eHnzwQQQyP/74I2bNmsVD93bv3o1+/fph0qRJKCoqQrDRq1cvq+9+48aNCHRqa2v5d84u/rZ444038P7772P+/PnYtm0bVCoVPz8aGhoQUAhBwldffSVERka22P/XX38JYrFYKCgoMO/7+OOPhYiICEGtVguBTEZGhvDuu+8KwcTQoUOF+++/33xfr9cLKSkpwty5c4Vg4vnnnxf69esnBDMAhKVLl5rvGwwGISkpSXjzzTfN+yoqKgSFQiF8//33QiAR8D1+Z2zZsgV9+vRBYmKieR+7wrOiTYcOHUKgw1w7sbGxGDBgAN58882AdnGxUd2uXbv48N2y1hO7z86DYIO5MJjLo2PHjrjxxhu5yzOYyc7ORkFBgdX5wereMHdgoJ0ffl+k7XxhX7Sl6DNM99mxQOahhx7CwIEDERMTw91cs2fP5kP+d955B4FISUkJd+3Z+r6PHj2KYIKJGXNpduvWjX/nL774IkaPHo2DBw/ySrfBSEHj793W+RFoWuCXPf6nn366xcRU8y3Yfsjn8tkwX/fYsWPRt29f3HPPPXj77bfxwQcfQK1We/ttEG5mypQpfO6LffdshPvXX3+hoqICP/30k7dNIzyAX/b4H3vsMdx6660O27DhqyskJSW1iOooLCw0Hwumz4b1ApmrJycnh/cEA424uDhIJBLz92uC3ffH77otYRFvXbt2RWZmJoKVpMZzgJ0PLKrHBLvfv39/BBJ+Kfzx8fF8awuGDx/OQz5ZVAcL5WSsXr2a1+Tu2bMngumz2bt3L/d5mz6HQEMul2PQoEFYs2YNrrjiCvNCPuz+Aw88gGCmpqYGWVlZmDlzJoKVDh06cPFn54NJ6NlcH4vusRcV6K/4pfC3BjZhVVZWxv8y/y4TN0bnzp0RFhaGiRMncoFnJzwL5WK+vGeeeQb3339/QFfqY5NV7IQeN24c9+my+48++ihuuukmREdHI1Bh7q1bbrkFgwcPxtChQ/Hee+/xEL/bbrsNwcTjjz/O49kzMjL4CnYsvJWNhq6//noE+gUu02JUwyZ0mSawea709HQ88sgjePnll9GlSxd+IXj22Wf5BLipoxAwCAHOLbfcwsO2mm///vuvuU1OTo4wZcoUQalUCnFxccJjjz0maLVaIZDZtWuXMGzYMB7iGhISIvTo0UN49dVXhYaGBiHQ+eCDD4T09HRBLpfz8M6tW7cKwca1114rJCcn888gNTWV38/MzBQCHfa7hw09YDphCul89tlnhcTERB7GedFFFwnHjh0TAg0qy0wQBBFk+GVUD0EQBHHukPATBEEEGST8BEEQQQYJP0EQRJBBwk8QBBFkkPATBEEEGST8BEEQQQYJP0EQRJBBwk8QBBFkkPATBEEEGST8BEEQQQYJP0EQBIKL/wehCsdv11PjpgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 2], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1] * a[0]), cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]+15)), cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]**2 + a[1]**2)), cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 6bfd5a82783e8086c3dc4ec1a22499cecae248ec Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 12:50:21 -0700 Subject: [PATCH 10/16] Redid the documentation stuff (wiped after a previous commit) --- .../cereeberus/compute/computemapper.py | 88 +++++++++++-------- doc_source/modules/compute/compute_mapper.rst | 6 ++ doc_source/modules/compute/index.md | 2 +- .../{compute => draw}/compute_draw.rst | 2 +- doc_source/modules/draw/index.md | 10 +++ doc_source/modules/index.md | 1 + doc_source/notebooks/index.rst | 1 + tests/test_computemapper.py | 13 +++ 8 files changed, 82 insertions(+), 41 deletions(-) create mode 100644 doc_source/modules/compute/compute_mapper.rst rename doc_source/modules/{compute => draw}/compute_draw.rst (77%) create mode 100644 doc_source/modules/draw/index.md create mode 100644 tests/test_computemapper.py diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 02b4c9a..63df3af 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -1,73 +1,84 @@ from ..reeb.mapper import MapperGraph -#Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point + +# Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point def __runlensfunction(lensfunction, pointcloud): if callable(lensfunction): lensfunctionoutput = [] for val in range(len(pointcloud)): - lensfunctionoutput.append([lensfunction(pointcloud[val]), tuple(pointcloud[val])]) + lensfunctionoutput.append( + [lensfunction(pointcloud[val]), tuple(pointcloud[val])] + ) else: print("Invalid lens function") - #print("Lens Function Output: ") - #print(lensfunctionoutput) + # print("Lens Function Output: ") + # print(lensfunctionoutput) return lensfunctionoutput -#Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] -#Also removes any covers that have no points inside of them -#this would probably be better done as a struct, containing a covering set, the covering set's position in the cover, and an array of points +# Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] +# Also removes any covers that have no points inside of them +# this would probably be better done as a struct, containing a covering set, the covering set's position in the cover, and an array of points def __createcoveringsets(points, cover): - #adds location information to cover + # adds location information to cover for val0 in range(len(cover)): cover[val0] = (cover[val0][0], cover[val0][1], val0) - #creates the list + # creates the list coveringsets = [] for val1 in range(len(cover)): coveringsets.append([cover[val1]]) for val2 in range(len(points)): if points[val2][0] >= cover[val1][0] and points[val2][0] <= cover[val1][1]: coveringsets[val1].append(points[val2]) - #removes unused covers + # removes unused covers position = 0 while position < len(coveringsets): if len(coveringsets[position]) == 1: coveringsets.pop(position) else: position += 1 - #print("Covering Sets Output: ") - #print(coveringsets) + # print("Covering Sets Output: ") + # print(coveringsets) return coveringsets -#cluster the points using a number of existing clustering algorithms +# cluster the points using a number of existing clustering algorithms def __cluster(coveringsets, clusteralgorithm): - #trivial clustering + # trivial clustering if clusteralgorithm == "trivial": finished_cluster = list() cluster = list() for val1 in range(len(coveringsets)): cluster.append(coveringsets[val1][0][2]) for val2 in range(1, len(coveringsets[val1])): - cluster.append((coveringsets[val1][val2][1][0],coveringsets[val1][val2][1][1])) - finished_cluster.append(cluster[:]) #Works like this to avoid passing by reference in python lists + cluster.append( + (coveringsets[val1][val2][1][0], coveringsets[val1][val2][1][1]) + ) + finished_cluster.append( + cluster[:] + ) # Works like this to avoid passing by reference in python lists cluster.clear() - #print("Clustering Output: ") - #print(finished_cluster) + # print("Clustering Output: ") + # print(finished_cluster) return finished_cluster - #execute sklearn clusterings + # execute sklearn clusterings elif callable(clusteralgorithm): finished_cluster = list() coverpointcloud = list() cluster = list() for val1 in range(len(coveringsets)): - #alters data to fit with sklearn clustering algorithms + # alters data to fit with sklearn clustering algorithms for val2 in range(1, len(coveringsets[val1])): - coverpointcloud.append((coveringsets[val1][val2][1][0],coveringsets[val1][val2][1][1])) - #does clustering algorithm + coverpointcloud.append( + (coveringsets[val1][val2][1][0], coveringsets[val1][val2][1][1]) + ) + # does clustering algorithm cluster_out = clusteralgorithm(coverpointcloud) - #puts points into list - for val2 in range(max(cluster_out.labels_)+1): - cluster.append([coveringsets[val1][0][2]]) #The position of the covering set in the cover (preserved for distance purposes) + # puts points into list + for val2 in range(max(cluster_out.labels_) + 1): + cluster.append( + [coveringsets[val1][0][2]] + ) # The position of the covering set in the cover (preserved for distance purposes) for val3 in range(len(cluster_out.labels_)): if cluster_out.labels_[val3] == val2: cluster[val2].append(coverpointcloud[val3]) @@ -82,7 +93,7 @@ def __cluster(coveringsets, clusteralgorithm): return list() -#Adds edges between the cluster that share points +# Adds edges between the cluster that share points def __addedges(clusterpoints): outputgraph = MapperGraph() val2 = 0 @@ -94,12 +105,12 @@ def __addedges(clusterpoints): outputgraph.add_edge(val1, val2) val2 += 1 val2 = 0 - #print("Final Output: ") - #print(outputgraph) + # print("Final Output: ") + # print(outputgraph) return outputgraph -#Does the Mapper Algorithm in order +# Does the Mapper Algorithm in order def computeMapper(pointcloud, lensfunction, cover, clusteralgorithm): """ Computes the Mapper Alogirthm @@ -113,16 +124,18 @@ def computeMapper(pointcloud, lensfunction, cover, clusteralgorithm): Returns: A MapperGraph object as given by the Mapper Algorithm run on the parameters """ - lensfunctionoutput = __runlensfunction(lensfunction, pointcloud) #move to compute folder, change name to computemapper + lensfunctionoutput = __runlensfunction( + lensfunction, pointcloud + ) # move to compute folder, change name to computemapper coveringsets = __createcoveringsets(lensfunctionoutput, cover) clusterpoints = __cluster(coveringsets, clusteralgorithm) outputgraph = __addedges(clusterpoints) return outputgraph -#function to create covers -#cover(min, max, #covers, %overlap) -def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): +# function to create covers +# cover(min, max, #covers, %overlap) +def cover(min=-1, max=1, numcovers=10, percentoverlap=0.5): """ Creates a cover to be used for inputs in the computeMapper function @@ -137,12 +150,9 @@ def cover(min=-1, max=1, numcovers=10, percentoverlap=.5): """ output = [] val = 0 - coversize = (max - min)/numcovers * (1+(percentoverlap)) + coversize = (max - min) / numcovers * (1 + (percentoverlap)) while val < numcovers: - center = (min*(numcovers-(val+0.5)) + max*(val+0.5))/numcovers - output.append(((-0.5*coversize) + center, (0.5*coversize) + center)) + center = (min * (numcovers - (val + 0.5)) + max * (val + 0.5)) / numcovers + output.append(((-0.5 * coversize) + center, (0.5 * coversize) + center)) val += 1 return output - - - diff --git a/doc_source/modules/compute/compute_mapper.rst b/doc_source/modules/compute/compute_mapper.rst new file mode 100644 index 0000000..151d424 --- /dev/null +++ b/doc_source/modules/compute/compute_mapper.rst @@ -0,0 +1,6 @@ +Compute Mapper Graph of a Point Cloud +********************************************** + +The ``computeMapper`` module provides functionality to compute the Maper graph of a point cloud. + +.. autofunction:: cereeberus.compute.computemapper.computeMapper \ No newline at end of file diff --git a/doc_source/modules/compute/index.md b/doc_source/modules/compute/index.md index b29eead..d95eacc 100644 --- a/doc_source/modules/compute/index.md +++ b/doc_source/modules/compute/index.md @@ -7,6 +7,6 @@ The ``compute`` module has helper code used throughout the package. :maxdepth: 2 Compute Reeb Graph from Lower Star Filtration - Draw + Compute Mapper Graph from a Point Cloud Union Find ``` diff --git a/doc_source/modules/compute/compute_draw.rst b/doc_source/modules/draw/compute_draw.rst similarity index 77% rename from doc_source/modules/compute/compute_draw.rst rename to doc_source/modules/draw/compute_draw.rst index 9607a1b..12cbd45 100644 --- a/doc_source/modules/compute/compute_draw.rst +++ b/doc_source/modules/draw/compute_draw.rst @@ -3,5 +3,5 @@ Draw The `draw` functions are helper functions to plot reeb graphs and merge trees. -.. automodule:: cereeberus.compute.draw +.. automodule:: cereeberus.draw.draw :members: \ No newline at end of file diff --git a/doc_source/modules/draw/index.md b/doc_source/modules/draw/index.md new file mode 100644 index 0000000..3af96a5 --- /dev/null +++ b/doc_source/modules/draw/index.md @@ -0,0 +1,10 @@ +# Compute Module + +The ``compute`` module has helper code used throughout the package. + +```{eval-rst} +.. toctree:: + :maxdepth: 2 + + Draw +``` diff --git a/doc_source/modules/index.md b/doc_source/modules/index.md index fb87c53..1c3f00a 100644 --- a/doc_source/modules/index.md +++ b/doc_source/modules/index.md @@ -11,4 +11,5 @@ See below for the full documentation of the modules available in `ceREEBerus`. Distances Example data and graphs Compute + Draw ``` diff --git a/doc_source/notebooks/index.rst b/doc_source/notebooks/index.rst index 75f4f1b..d6e487d 100644 --- a/doc_source/notebooks/index.rst +++ b/doc_source/notebooks/index.rst @@ -14,3 +14,4 @@ This section is for adding example jupyter notebooks. example_graphs.ipynb interleaving_basics.ipynb compute_reeb.ipynb + compute_mapper.ipynb diff --git a/tests/test_computemapper.py b/tests/test_computemapper.py new file mode 100644 index 0000000..9750e08 --- /dev/null +++ b/tests/test_computemapper.py @@ -0,0 +1,13 @@ +import unittest +from cereeberus import MapperGraph, computeMapper, cover + +class TestReebClass(unittest.TestCase): + def test_cover(self): + #Checks to see if the cover generating function is working + examplecover = [(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)] + testcover = cover(min=-1, max=1, numcovers=4, percentoverlap=.5) + self.assertEqual(examplecover, testcover) + + +if __name__ == '__main__': + unittest.main() \ No newline at end of file From ac6925ecfc387995895ee9d463a102129efb80d5 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 12:51:55 -0700 Subject: [PATCH 11/16] forgot to comment out test stuff --- cereeberus/cereeberus/compute/computemapper.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 63df3af..0d35acf 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -85,8 +85,8 @@ def __cluster(coveringsets, clusteralgorithm): finished_cluster.append(cluster[val2]) coverpointcloud.clear() cluster.clear() - print("Clustering Output: ") - print(finished_cluster) + #print("Clustering Output: ") + #print(finished_cluster) return finished_cluster else: print("input not valid") From bd34c60b3d3462f22c21fbb6814c3cb3da440975 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 12:54:02 -0700 Subject: [PATCH 12/16] prettied up the compute_mapper notebook --- doc_source/notebooks/compute_mapper.ipynb | 48 +++++++++++------------ 1 file changed, 24 insertions(+), 24 deletions(-) diff --git a/doc_source/notebooks/compute_mapper.ipynb b/doc_source/notebooks/compute_mapper.ipynb index 362fafa..f0c8e69 100644 --- a/doc_source/notebooks/compute_mapper.ipynb +++ b/doc_source/notebooks/compute_mapper.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -54,12 +54,12 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -136,7 +136,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -159,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -178,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -190,7 +190,7 @@ " np.float64(1.162391196195627))" ] }, - "execution_count": 7, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, @@ -214,12 +214,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 38, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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", 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kfUAKhDyU8x9KSEEvQfKcAXdF8rsf8LnF8D9z3wVQT4QU/BokyQOuBAsLN0PynA0p9HNAlWrSCdEVieMxBVLY1y5ltmMsh6SM0s8vr4vNWGIU+tbRwf+D5HOtlUbo3kjqdHH+1jTq03dNi7CTAGUSpNDPIHm5SPaCmVB6veT/EKTAf3QWBzRFqCk73R+3QQp5W18SwMVgYeGGSOoRkEJXQvL/A6CI7Hy0L5eG1HXCVNUG4OsN56Gy4xlIyhibjpdxPrebIuhpSMH/FTVO9Cj7WW5UZys3+t4KKWyNW++EbUFdgxde+yQTK9dNR7s2vufFrr/jowjTB2qLTYVr1FqwiLjwvhhS2GrA+3LadXV+h6o+nq0464b2mCnEmcL/QZezVBhgB7mbIklqfeClz81A2ybI7Tv1XSq1+YDcQX4TQJWuL37lOQsbN+Xh6Ilj0HlswWWXXWbv4TPOYh3znA254xjQtg4ydW7sOALIzfoLGQlUj3GQ1JmA10KuVWEj1q5dC41Gi4aOufCMuRGSJgty2yZ9Z03NcUBuo90HoEzUn/8eUwHPORxP1Q+SMgJS4OOQaaPWugpyx/7OtZSa8+kAqn6qGgvJYyzgeQEk1dmCha4KzxQ3h4K64DUPkte8AZ83e3Y8jh49hkOHDmHOnDkICwuz2RgZ57eQUclnrs1qf6j9wuHDh8X9Cy64AAqFAvCYBMljkr2H5hrl032uhIQr4e6wK4QxiqioKAwfrvfLbt682d7DYRjGRKhk0erVq8V9aiZJ5zTDWAMWFozRzJ49W/zMzs5GdbW+vDfDMM7B/v37UVJSIhpDnn/++fYeDuPCsLBgjCYmJgbDhg0TOx+2WjCM89DW1ob169d3bRB8fSmTgWGsAwsLxiyrxYEDB1BTU2Pv4TAMYwS0EWhsbERwcDCmTJli7+EwLg4LC8Yk4uLikJqaKqwWW7ZssfdwGIYZBNoA7NixQ9xftGgRVCqO2WesCwsLxmQoK8Tgs62trbX3cBiGGYCffvoJWq0WycnJXQHYDGNNWFgwJhMfHy8WKZ1Oh61bt9p7OAzD9EN+fj6OHj0qijktXrxY/GQYa8PCghmS1SIrK0u00mUYxrEg4W9IL500aRIiIw1VdhnGurCwYMwiMTFR3MjEyrEWDON4kOgvKysT6aVz586193AYN4KFBTNkq8W+ffvQ0NBg7+EwDNNJa2trV3opnaecXsrYEhYWjNkkJSWJeAuyWnCsBcM4Vnppc3MzQkNDOb2UsTksLBizoUAwg9Vi7969Ik+eYRj7QlVxu6eXKpWmtPRmmKHDwoIZEikpKYiNjYVGo8G2bdvsPRyGcXt+/PFHEbhJ9WaoUi7D2BoWFozFrBZ79uxBU1OTvYfEMG5LXl4ejh8/zumljF1hYcEMmbS0NERHR6OjowPbt2+393AYxi0hK8WaNWvE/czMTISHh9t7SIybwsKCsajVYvfu3SJojGEY20LZWeXl5fDy8uL0UsausLBgLEJ6ejqioqLQ3t7eFTjGMIzt0ks3bNgg7pOo8PHxsfeQGDeGhQVjMauFofPprl270NLSYu8hMYzb8PPPPwtLYVhYmHCDMIw9YWHBWIwRI0YgIiICbW1t2Llzp72HwzBuQWVlpRDzBAVscnopY29YWDBWsVqQsCDzLMMwtkkvpdRSCqRmGHvDwoKxKKNGjRLR6CQqDLsohmGsw8mTJ5GTkwOFQiGKYTGMI8DCgrG41WLWrFniPgVxkluEYRjLQ1YKslYQkydPFvEVDOMIsLBgLM7o0aNFjwIK4KT0U4ZhLA8VpKuoqIC3t3dXujfDOAIsLBiLQ2ZZg9WCCmZRCirDMJaDRPvGjRvF/Xnz5glxwTCOAgsLxiqMHTsWwcHBIgWOdlYMw1gOEhUkLigLa9KkSfYeDsP0gIUFY3WrBTUno3LfDMMMHXJ/GFyMlF5K5xrDOBI8IxmrkZGRgaCgINGYjNqqMwwzdChgU5ZlDB8+XHQXZhhHg4UFYzWoUM/MmTPF/a1bt7LVgmGGCKWWUoopWSkWLlxo7+EwTJ+wsGCsyvjx4xEQEIDGxkZkZWXZezgM47Rotdqu7qVTp04VmVcM44iwsGBsZrXYsmULNBqNvYfEME4JxVVUVVWJBmOGCrcM44iwsGCszoQJE+Dv74+Ghgbs37/f3sNhGKeDsquo0Rhx/vnni9boDOOosLBgrI5KpephtSCTLsMwxkMt0alMfmRkpBDqDOPIsLBgbMLEiRPh5+eHuro6HDhwwN7DYRinoby8vCur6oILLuD0Usbh4RnK2MxqMWPGDHF/8+bNbLVgGCOgtFIK2KSfI0eORFJSkr2HxDCDwsKCsRlUIdDX1xe1tbXIzs6293AYxuE5ceIE8vLyRBA0p5cyzgILC8ZmqNVqTJ8+vctqQd0ZGYbpG7LqGbqXnnfeeaJEPsM4AywsGJuSmZkp0uWqq6tx6NAhew+HYRyWnTt3ivOErHyG8vgM4wywsGBsioeHB6ZNmybub9q0ia0WDNMHVAafzg9i/vz58PT0tPeQGMZoWFgwNmfy5MmizTMV+zly5Ii9h8MwDsf69evR1taG6OhoUb2WYZwJFhaMzaHdF/mMCdqVUcQ7wzB6SktLu8rfU/dSSZLsPSSGMQkV3IhWbRNKW0+jWdMAQIKfKhBR3knwULCZ0dZMmTJFtFOnFtBHjx7FqFGjhMCoaS9DRVsxNHI7VJIaoZ7RCPGIgkJiDcw4P+26NpS25KNRU0fJpPBR+SPKKxFeSt9e6aWjR49GYmKivYfMOAntulaUtpw+Z24lwUvpY/OxuLywqO+oxp7qtciq2YDq9rJev5cgIdwzDpNC5mNi8DxxMBjrQyWJyWqx8eeNWLN/Jfb7fIeTjQfQpmvp9Vy1whNpfhmYGroEqX4ZLDIYp4I2MvtqNmBv9TpUtJ2BjN4WuhCPSIwPnougqiTk5+eL9NIFCxbYZbyMs82t9dhTvQ6VbUX9zq0JwfOQGbIAAeoQm4xLkm1sh66vr0dgYKCowEhdL625M1hb+iG2VX4v1FtfX3hPJCglFeZHXomZ4ZdAKSmtNjZGz6nao/jfob9DF9ACCQrI6D+QUwEFdNAh3DMWl8ffhzifYTYdK8OYilbWYkvFV1hX9im0MjXfG3gNok0OLceK3DDMDroMC89fbLOxMs43tzaVr8SGcppbWqPmFv07I2wZFkRdIzZr1rx+u6SwIFPj+/lPobajwghB0ZsYrxRcm/QHBHtEWGV87g5NuU0VK/FT6Yf6+ArJ+GOkFyAy5kVcgfmRV7H/mXFIatrL8WH+MyhuzTP9xTIQ5BGB65MeQrR3sjWGxzj53Ho//ymUtuab/FoSGMEekbgu8SFEeSda7frtcjblM80n8Vrun1DbUWmWqCDogP3n5B9R3VZq8fG5OyQkVpW8jR9L39dbKEwQFeL1wqohC6X+1ZlXOfCTcTho3aD1w5yFXyABdR2VeD33z2I9YxgDVW0lYm6VtxbAHOiaSMKErpFFzbmwFi4lLOo6qvDWqcfQoWsf0Kw+GGRyb9bU4828R9Cm7e3zZ8xnW+V32Fr5rUXea0/NWmwo/8wi78UwloDWizfzHhXrB60j5kLrF61jb+U9KtY1hmnVNotrkmXmVhv+d+pREYNoDVwmeJN2rrSDbde2oK25HTvezkFxdjWKD9Wgtb4Dy/42ERkX9zb9HFlzBrveO4mq/EZQ08CwtABMuzkdabOjxAm9uuRdXBx3h10+k6tR0XpGfJ9Ee7PGqGP05LiV/b5f0nnhkF5TYETAZMSwyZhxAGh+13VUoK25w+g1SNbJ2Pf5KWR9no/q/AaovZSISA/Egt9nIHp4MFYWvoKbkv/Cbj83Z3XJu6jvqDJpbu35KBd7P8lD7ZlmeAd5YNTiWMy+exQ8fFTiWknXzBuS/mTxueUyFovD9TtwomGf3tpQ04Ytrx1D5akGcYL2x+4Pc/HVH3bDJ8gD8+4bjRm3j0Bbowaf3rsdx9ZShK0Ou6rXoLD5hE0/i6vyVdF/uoKMjD1GFz0xqddt8nWp4ncp0yJESNKXhS+xS4SxO4XNOWK9IHOzsfOb+O6Rffjp6YOIHhmERX8chxl3jEBAtA+aq9vEepbTmIXDddtt9jkYx6Og6Th2V/9o0txa/9wh/PjUQYSnBWDhHzIwYkEM9nychy9+u1P8nubW8Ya9OFKv/78lcRmLxZaKr7syC/zCvXDfuiXwC/NCyeEavHXtxj5fs/ejXESPDsYVL07rUmzjLknEiwtXI/vbAoxYECuyESiz5KqEdBt/IteipOUU8pvOVtk09hiNWZbQ67HTeyqFH3rUknhxcpS0nhLiL8F3uFU/A8MM5uYzZC8ZO7/JYpr9TQEu+9dUDJ8f0+dzaF3bUvkNxgTpG/gx7sc2E+dWY0Urdr1/EmOWxeOiJzK7Hg9J9BNiI2djCYbNjRZza2vFtxgdqC9YaClcwmJR1logLiyGuAqVh1J86YPR1qSBb4hHDzOQp58aah8lVJ76dFM6kIdqt3UW1WLMZXf1T+LEMGDsMToXTbsWx9cWI2FSGAIivcVj9L47q1ZbdLwMYwq0PtA6YfB9Gzu/yQ0bMyZYiApyiZCL8FxoXaP1jdY5xv1o0tQJi5Upc+vMgSroNDJGXRDX43HD/0nQGubW6eajKG/V/98uwuLRRx8VF+HutxEjRsDenGo8rA+lNpGEzDDkbisXLpHaoiZhWlr95H7hDjGY2wkdtChoPm7hUbsXOQ37hxRwZCB3cxlaGzowZml812P0vlRci2HsBa0PtE6YQltjh/CRk9V04wuH8eyM7/DPad/ilQvXdC38Z5E61znG3TjddNzktVPb0SlCOjfIBih+hyg5UtvtUQmnmg7b1xVCZWbXrl179g1U9vemFLXkdpqJTDuxFz00Di217cK/STfCO9gD174+A3HjQrueR+9Nf2NEwFmTEmNapHx1u2VSdw/9UAilh0L4C7vTqKkVyt5XNbA/m2GsuwYZfwGoKWwSIUckIhRKCfMeGA0vPzV2f5CLrx7aLaynqTMie6xBjPtRLOaW0qTrW2iSvoL0mf1VSJoS3vV44T59hlFjeWvXYzS36G9YEpNVAQmJqKgoo59PHfro1r3AhjVye00VFYTaW4mQJD/4R3qLLJD2Jo3wS1Fwyw1vzUZIgp94HoUFck0L86FCZZaAdni5m0uROjMSXgEevX5f1VbKwoKxC+asD+0tercHbW5uem8OYjP05ZbJ9/3yhWuw9fVjXcKC1rfKtmILj5pxBqrby0yuyRQ1MggxY4Ox460c+Ed4I3FyGKrIIv/EAShUEjrazl4vrTG3TI6xyMnJQUxMDFJSUnDdddehoGBgv9+KFStEpS7DLT7+rAnbUmjkDrNe9+WDu1Bf0oLlj0/CyIWxInDz+jdnQdehw88vdm/nLXeW5GXMwVLf3bG1xdC06Xq4QazxdxjGVGjumZqXpO40UwfF+nSJCoJSAYfNjhJuEp3mrAVEa+Y6xzg3WiPKwffFZc9ORUR6AL5/ZB9eufBHfHrfDoxcFIuoEUFijnVHo+uwn8Vi6tSpePvttzF8+HCUlJTgsccew6xZs3Do0CH4+/fdvOvhhx/Gb3/72x4WC0uLC3O6k9acaULe1jIs+ev4Ho97B3ogbkKoMCF1L4OqVvTeITPGoZYs890d/qEQnv5qYV3q8+9wl1rGTtDck0xc/im6n/AN7T1vfUM8RfBde4sWXv76/R/Pb/dErfDQ95ExUVyQJf7Gd+ag+nQjGqtahQWegj5fWLCqyxpvwENheiC9xYTFkiVLuu5nZGQIoUFtfT/99FPceuutfb7G09NT3KxJhFcCTjcdM8kd0lSl9zGJ/i3nQCe0Tnv2INK9CE/LW1rcBapNb6qPsK/0qdO7K5BxUaKIiu4LalDGMPYgwjPO5D0lmah9wzzR0M3fbaChohUqTwU8ffVLNJ0/kV7cQt0dCTdjbnWHUkzpRlTk1ou1NOOis2n8+rnVO63fbummQUFBSE9Px8mT9q1nH+edavJFKzjeD9R9mwKnuhdXqi9rEQEukSOCuh6jlJwYn7NZIoxpqBRqRHoNTZgdWX0Gsg4YfWHf7xPiEQVPpT79lGFsTaxPqlltBEYtjkN9aQtObS/veowKIFGdgcQp4ZAU+mw3Wt9onWPcj1hv8+bWuVA684bnDonMkAlXnK1UTHMr1icFlmRIKR2NjY3Izc3FDTfcAHuS6j+ul6mISplSWiKpMyLn51IhGojMa1KFqZFiKvZ/eRof3rZF5JFTDvneT06JwJbpt6b3MBPF+3CBrKFAZbdLWwt6nCCDHSMvf3WPbBAyHVMQ0rlQVPPIgMk2+RwM0xdxPulinWjXtZo0v6fdmo6jPxbhi9/txJQb0kRWyL7PTkGrkTH33tFd70XrW6pfhh0+GWNvEnyHCzcY9fcwZW79+PRBaNq0iBwRCF2HjMOrCkXcDsUUBkb7dL0XFclK9RtnP2Hx4IMPYvny5cL9UVxcjEceeQRKpRLXXHMN7EmgOlRcWI7V7+lK99r57knUFTd3Pef4umJxIyj4j774C/48XpREPbDyNDa+oA/WjB4dhOV/nyQKMBkuWpNDFpoVx8Gchb7DjeWf93jMmGNEVOU3oPRIrVh4DTu47tAxnxK62OqfgWH6g9YHmuPbK783aQ3yC/XCDW/Pxrpns7H7/ZNCUFAg50VPZiJyeGDXGkSp7oEevUU14/p4KLyQGbwAO6tWmTS3okYEYtcHuSI2jdZNKsR27esze6Sfik1Z4FQEqM8GD1sCSTahycLVV1+NTZs2oaqqCuHh4Zg5cyaeeOIJpKamWryfuzm11F/LfRiWRiEp8UD6iwjxND7FlumbTwuex8HaLRYx63U/MdL9J+GGZMsfe4YxNeX0+RP3WSU76fbUJ5Hoa/9ihIx9qGorwfPH7xtSnFp/3JG6wuh2CMZev02Ksfj444+FpYLqUpw5c0b83xRRYU3oi5kWeqEwGVqSRVHXsaiwEEtjboGXkkxwljtGKoUnd59lHAJaJxZGXWvR96T17LzQJSwq3JxQz2irzK3pYUut0mPJJXqFGFgUfT3CPGN69KQwF/I7JfuOxoyw5RYZGwP4qgJwefx9Fn3PS+PusrgZj2HMhdYLWjdo/RgqtI6FesZgcbR9Y9gYx2BG+EVI9BlpsbkV5hmLhVHXW2Rsvd/fxXxRt6Q8hiCPiCGJCzpwFIlLferJFcJYDvIVXx5/T6deNtdyoX/dRbG3Y2zQDIuOj2GGAq0XtG7E+aQN6QJA6xetY7emPGbxGgOMc6KUlLgx+c/i2jTUuUUlAPRzyzqxgybFWFgCa8VYdKdJU48vC1/GsYbdpr1QlugbwaTg+VgWeyuf0FbkRMM+fF7wApq1jSbFXNAJRe6US+PuxqjAqVYdI8OYC2WHfF/0P+ypWWtWcaMR/pm4NP4eYeVjmHPn1ndFb2JvzTp9kSUT92cjA6aI9dNH1XdRS0tcv11SWBD0sShQcE3pu6jrqBqwQZAkS5AlGapmX1w36gGkB0y02riYs7RoGrG69D3sq14vxEW/i2/XwxImBM/GkpibuScI4zRdfb8vfhMVbUUDrkGG31GG2+KoG5ARNEt0j2aY/jhQthWfnXwJsn+b2HD1t0Ez/C5QHYYLom/E2MAZZs8ttxcWBnSyTpzcB2o3oaDpGGo6zhaioZ0ExWTEeg7DsdUl0JZ54uabbkZSUpLVx8X0tDCRuDjRkIWilpNo0+nzsQmyGkV7JqNoXx2kU0H49c33mNQEj2HsDS2xp5uPYWP+V8ipOQj4t/XYZQarI5DgOwLjgmZhmP8EKKhyH8MMwvr167Fp8yaEj/RF9DQfnG4+KrJHum/QyOWR6DMC44JnIc1v/JDnlrHXb/v3PLcy9EUOD5goboYW3q3aJkiSAt5K3676+9/Gfot9Zfuwa9cuFhY2hsy9syIuETdahJu19ejQdUAlqYRlgtT15wc+x+G2w8jKyupRWp5hHB2av0m+I5FaXYnT69sxauwILF6+ELKsg5fSlyvGMibT3t6OPXv2iM3x+WOXYWT8SPE4FdFq0TbZfW65nTSmL5oKzVAmQfemPlOmTBE/jx07JtQYY79FmMREkEcY/NRBXSa7ceP0leGys7Oh1Vo+l5thrE1ZWZn4GRMZJ9YfWodYVDDmcODAAbS0tCA4OFg0BTVA1zRHmFtuJyz6IzIyUlgqaMe8e7eJQZ+M1aF6KX5+fuJkOnHihL2HwzAmQx2hCXblMUNBp9Nhx44d4j41AlUoHO8y7ngjsiMGq8W+ffvQ0WHZ/vTM0KCTx2C12L9/v72HwzAmQUUFq6urxX0WFsxQoI0VzSUvLy9MmDABjggLi26QSYkCU2hXfOjQIXsPhzkHg7DIyckRDfAYxlkoL9cHjfv7+8PX19few2GcmO3bt4ufkyZNgoeHBxwRFhbn7IonT9Z3yaQgThsnzDCDQP1pYmNjxXGhWAuGcRZKS0vFT7ZWMEOhqKgIBQUF4lplsLA7IiwszoFMSyqVSiwEhYWF9h4Ocw7jx4/vcoew8GOcBY6vYCxprRgzZoxNyjWYCwuLc/Dx8cHYsWPF/Z07d9p7OMw50AmlVCqFadmwWDOMs2SEsLBgzKW2thZHjhwR96dNmwZHhoVFH1CkLXH06FFREIRxHChgaeRIfc42B3EyzhLFz8KCGSq00SUrbXJyssPPIxYW/aSeJiYmioNIRUgYx3SHUICtRqOx93AYZkAqKytF7RUKtKO6AwxjKq2trSJb0RmsFQQLi34wBMbs3buXL14OBil2iq7nmhaMswVucv8PxhxIVFC1zbCwMKSlpcHRYWHRDyNGjBDBMc3NzZx66mBwTQvGGYUFWUIZxlTI2mWI9yNrhTOIUxYW/cCpp87hDjl58iQaGhrsPRyGGVRYREdH23sojBNytDPWj+qfZGRkwBlgYTEAEydOFBkIlH1w5swZew+H6UZoaCji4+OF4Dt48KC9h8MwfULzk2tYMEOZP4YUU9roUikEZ4CFhZGpp2S1YBwLgzuEGvKwRYlxRGinSbFAZAGlAm8MYwpUDKu4uFgIiszMTDgLLCyMDOKk/GE2uTsWo0ePFidcRUWFOPkYxtEwWCso6M5ZdpuM47C901pBLhBnKgXPwmIQyC+akJAgctE59dSx4JoWjKPD8RWMuVRVVeH48eNOk2LaHRYWRsCpp44L17RgHBnOCGHMxdAaPT09XVi8nAkWFkamnlLdhKamJhw+fNjew2HOqWlBacFUQObYsWP2Hg7D9IADNxlzoDIHBivseeedB2eDhYURUGaIIXCGgzgdC8rp7h7EyTCOAold6u9AsLBgTIHc7mSBpXmTlJQEZ4OFhZFMmjRJCAwKEuTUU8d0h+Tm5nJvF8bhrBWBgYHw9va293AYJ0Gj0XRtYJ2lINa5sLAwEorIpc6aBFstHIuQkBARYMs1LRhHgt0gjDlkZ2cLtzu53ynzzRlhYWFGECfFWXDqqWNaLcgvyTUtGEeAO5oypkJrlyFok7psk5XcGWFhYQIxMTGi2iOlnlKGCOM4jBo1Cmq1WqRoFRUV2Xs4DCMq9hIsLBhjIXdueXm56IRL7ndnhYXFEFJPqTkM4xh4enoKcUFkZWXZeziMm0NrAxVuI1hYMMZisFZMmDBB1OlxVlhYmAgVZCLfV2Njo6jGyTgOhuwQclV1dHTYeziMG0OigiybdHGg4E2GMcZ1RhYLCtYkN4gzw8LCRMjnZTBRGVrZMo4BpWUFBQWhra2Na1owDuMGccaofsZ+1oqRI0ciODgYzgwLiyGknpIvn/35jlnTgkt8M/aEM0IYU6BkAENGm7OV7+4LFhZm4Ofn15UGxKmnjoVBWOTl5aGurs7ew2HcFM4IYUxh9+7dwnVGyQFxcXFwdlhYDDGIk3pUULwF4xiQCTExMVHc55oWjL1SBtliwRhLe3t7V4NLV7BWECwszCQ2NlbcOPXU8eCaFow9oTLeFOdD7lJnax7F2J4DBw6gpaVFbIqGDx8OV4CFxRAwRO6S2uTUU8eraVFdXY3CwkJ7D4dxMwzWioiICKctcMTYBtqYdi+IpVC4xiXZNT6FHS9gFG9BrpCjR4/aezhMJ1RcxhADw0GcjK3hVumMsZw4cUJsgCgtmWpXuAosLCyUespBnI7pDqGaFuTDZBhbC4vo6Gh7D4VxcLZv3y5+0nWENkSuAguLIULt1Ml8RSZ36nzKOAbUlIx8liQquKYFY0s4cJMxBipVUFBQIK4fhmQAV4GFxRDh1FPHhGtaMPagubkZ9fX14j67QhhjrBXUNTsgIACuBAsLC6eeUrtbxjEwCItTp06JSH2GsZW1IiQkRPSvYZi+oPXI0BLCVVJMu8PCwgJQQRPqfEqZIZx66jhQee/k5OSulC6GsTbsBmGMgdpBUCo8rU+uOFdYWFjYasGpp45ptSBhwTUtGGvDGSHMYLS2tmLfvn0ua60gWFhYCIqz8PX1FTXfOVjQcaCGPhRtXVNTIwKlGMaasMWCGQwSFRRUTsXT0tLS4IqwsLAQKpWKU08dEK5pwdiKjo4OVFZWivucasr0BVmzDV2xyVrhqp1vWVhYIfWUdsaGtslkfq9pa0ZxUx3KWxqg1ensPUy3o6+aFg3trShurkdZSwPa2XXFmAmdzxUtjWIunSgqgE6W4ePjI7LFGPelqaMdJc31KG2uR6umo+txKqRIWUNk3c7IyICrorL3AFwJf39/UY0z68ghPLdtFSrCfHCwuhi17S1dz/FQKDEyKBLTI5NwVcoExPsF2XXM7gB1DAwMCcb+jlrc/NN7OKVpRHnr2cZxSkmBtIAwTAlPwJUp4zAqmM3YTP/QJuGTvP3YWnYKR2rL0KbVdP3OY5gS8ZICETl7cGnSWPh7eNl1rIztBObPpbn49vRh7K08g6Lms52VySaR7B+KSWFx8Dh0WuzmJ0+eLKzcrook2ziijdRaYGCgaGntarm7pEyf2PEDPinMhlbS11Lo78tVSpLY3cyNTsMjExezwLDiCf/uyT14bv8GNMkaSDIg92N9JIGhlXUYFxKDRyctRkZIjK2Hyzi4oPhb1o9YW3RCnNt0/vaFYXp5KFS4Pm0S7h87Gz4q16mqyJyFLp9fnz6EZw5uENZPWte1/cwLJSRoISOwHXhm1i+wIGkUnA1jr98sLCzEwapi3Ld9Jc401UHuV070hiaiSqHEX8YvxDWpE1zW52YPChtrcf+Or7C/qsik19ExobPi16Om4zejZ0PlIo2BGPP5/NQBPLp3Ddp1mn4vHH2hgIQoH388d94lyAyPt+oYGdtS1dqEh3Z9hw0lJ4WYNHZWSJ3PvTplPP4yYRG8VWo4CywsbMiW0jzctvlTaGRdv7sYY7hjxDT8PmMeiwsLcKKuAteufw/1Ha0mXQi6Q0dhYexwvDD9F1AruEulu/LCoU349+HNZr+exIVCkvDqzMtxfswwi46NsQ8UO3H1+vdQ3Fxn9vqigITxobF4a87V8FM7RzE1Y6/fvBUbItnVJUJUdOi0QxIVxGvHtuP1Y/oWuoz5kEnyug3vD0lUEPTKn4qO48+7f7Do+Bjn4d2c3UMSFYQOsnCx3bnlc+F/Z5w/MPP6jR8MSVQY5sX+6iL8esvnLhfU77rRIzaAgrbu3/6VsFRoW9tQ++0WtJ08I266phaE//pS+M+d2O/rZY0WZx56CR1FFQi57gIELZ+Jf2ZvwKyoZA4gNBMywD2863vUtbego6V10GMi63Ro3LQfTbuPoO1UsXiOKjwYftPHInDZTCg81Pgi/yDmxw7D4rgRdv1sjG05WV+JJ7LWivs6I8/v+nW70bjlADqKK6BtaoUq2B9eo5IRfNn58IwIwQPbv8KaJXc4lfmb6clTB9bhdGMNNEasL0T5K1+gcVMWzkUdE4b4f92P7eX5eDdnD3453HUakbGwGAKvHNkqJhjFVGjrm1H7xQaowgLhkRiF1iOnBn193Zod0FSejR42mN9/t/MbfL/4NmE+ZUzj24IjIjqbMOaYyO0dqPjPl/AcFo+AhVOgDPBFa04haj5bj5ZDeYj+v1vEcfjT7h8wPSKJo/zdSKD+fuc3XfFSxp7f7fklQpj6TBoBha83NOU1aFi/B837jiPu6XtASejPH9qEh8fPt/EnYizB7ooCfJirr5ppypovqVUIu/2SHo8pfM6uJc8cXI+FcemI83WNIH4WFmbSounA2yd2dS08tDNJ+M9DUAX5oy23CEV/fnXA12vrGsWkDLpoFmo+W3f2cVkW8QHby/IxI0rf54Ix/mLw6tGtXcFRxhwTSaVEzGO3w2t4QtdjAfMnQx0e1CkucuEzNk1YQFaezsaNwybb+FMx9oBcFger9bVoTDm/w269qNdjvpNHouhPr6JxcxaCLp6D90/uwT2jZ8LfSfzqzFleP7q9K3vMpDVfoYD/LH09nb6g93svZ6/LCE6OsTCT7wuOoFGjL7ZkUKQ0wYyl6qMfoY4Og98sfS+Lc7MSyLfLmEZWVZEQZbIJx0RSqXqICgO+k/WpYOSmMvDOid3cb8RNoIs/XUDMPb+7QxYMglwjBhfqV/nZFhopY8t0Y8oAIRFgzpyQdTromvVz4FxoQ/lxXlaPYlpuKyyeeuopkcFw//33w93YWHJSRPWaQ+vJM2j8OQuhN13YLeu95yTbVJrncgE91ubnktweF4OhoKnVF9BS+vuInyQn8htrehS+YVwTEo8bis9eQMxB29AsrJK0kyVXG+E9JrXH+sE4F5tL80woJNDb5Zr/y8eRf8vfkX/rE6j837cibqc7jR1tPaxkbukK2b17N1577TWXLks62O6YonrNWbSq3voOvtPGwis9AR3lNX0+r12nRW5DFdIDwy0wWvfgQHUxdEO4GHSn7tvNkLw94T0+vVcWkKv4QZm+KWyq7WGNNIeCu56B3KGvyKnw90HozUvhk6FvOEWrxoGqYouMlbEd2TUlUEkKEaxvCqpgfwQunwnP5Bi6AKB5fw7qf9yJttMliPnrrZCU+lR22qjS35gS0duC6hbCorGxEddddx3eeOMN/P3vf4e7QabM0pYGs17b+PM+tBeWIfKBq42KSmdhYTzd3SBDoWblRrRk5yLsluVQ+np3PU7WEDomjGuTa4FjHPXHGyG3a9BeXIHGzfsht/UUKjXtLahvb0UABwM71fpiqqggQq5ZhO74Tc+AOjoUNZ+sRdPOw+L/BAWJu8r6Ypbd+O6778bSpUuxYMGCQZ/b1tYmimp0vzk7rVrz/GDkX6v+6CehXlVhg+96XcXfZiu692wwl8Zt2aj5dB38501CwKKpPX5HTqtWC/wNxrFpscAx9h6dAp8J6QhaOgOR91+Nms83oG51zxo1LWauI4z9AvYtReDSGdTzQWxgDFAdJFdZ800WFh9//LHoJ79ixQqjnk/Po0pdhhs1hHJ2zK3CWPvdFlG7wm/aWOECoZu2Wu+zpxxo+r+sObuoqTtNZIxxqIdYerv54EmUv/K5uCCE/eoiq/wNxvGx9DFWR4XCIykajVsPnPN3+Px2JqiBpKVQeKiFi0zbeLZBJVUXcJU5YZIrpLCwEL/5zW/w008/wcvLOBPeww8/jN/+9rdd/yeLhbOLC2+lGkEe3j26lhoD1awgAXHmwRd6/a72q5/FLfapu+GZFC0eS/TVR5MzxpHoF4KK1iazXku1K8qe/RCeKbGIuP/qLr9nd8gMmsDHxOWxxjGmeAtDzAXho1Ij2OOsm41xfJL8Q5FdUzqkoF4DupY26BqaoQzQB4cbSPALdj9hsXfvXpSXl2PixLOVxbRaLTZt2oSXXnpJuD2U5yzInp6e4uZKUCYMdb7cXJprkk8/cMk0kdPeHW1dEyr/+zX85kyAb+ZIqCOCu1JOhwdFWHjkrg11JaWGY6b6QduLylH6zHtQhQch6g83iN1Ef4wJ0Ys+xnVJDQgTu1MKoDYFWauFrqUdSj/vXllg7QVl8JtxNtB9THA09wRyMsaERIlOpqaga++gFstQePe8BtZ8uUEEcvqMS++RDUh/w+2Exfz585Gd3TP/+pe//CVGjBiBhx56qJeocGWmRyaJ9KPuPe3Ih6prboG2Rh/Y2bTvGDSdro7AC6aJqGARGdwNQ1aIR1xkV+0ECuIZFxILTyXXLzOF8yIT8eaJnT0eG+yYkP2x5Ml3oGtsQdCymWjOOt7j9erIEJG9Q9AOM9U/1Gafh7EP1M12cngCdpTn9+gFMdhcooyvgrv/Ab9pY6COj4TCUy0ERcPP+6Dw8UTwpXO7zm9aPxjnYlpEYq/O1YPNCW1jC4oeflkfsBmjD8RvPpiDlqwT8B43DD6ZZ9sEUMbJhNBYuAImXbn8/f0xZsyYHo/5+voiNDS01+OuzqVJY/HPgxug6b7wfLcFmsrarv837zoiboTfzPE9SrgOBAXx3DBskhVG7drMjkpFuJcfKlr1NSiMOSaEtkq/EFR/9GOv9/SbPUEIC7oYXJc2CUqOsXALrkubiK1lPUs0DzaXVCH+8D9/EloPn0LjzsMiK4RSDemiEvSLuV3WSLo2XZHcuzAe49iMCIpERkg0DlWXdpUaGHTN9/WCz4ThaM7OhZb6hehkqCJDEHz1QrGRkTrXE8o4W54wGoEu4h4bctv0uXPnYvz48Xj++efdrm36H3Z+i69OZw+pw925UC5zsKc3Ni+/ly0WZvD6se145sB6i6Sddod2ExuX3Y1oH+ees4xxaHQ6zP3+ZdEpd6hdi7tDLk5qZvfi9Est9p6M7fiu4Ah+s32lVd575cJfChe7I2OztukbN240WlS4Gg+NOx9+ak8z62/2DSnhp6YsY1FhJjcPm4K0gDCxgFuSBzPmsahwM3fI05OXWVRU0Iz0UqrxfxMWWuw9GduyNH4kZkYmW3R9UUDCjcMyHV5UmALbdYdAqJcvVkxearHdMU3Vy5IycH7MMAu9o/vhoVTiX+ddDIVkbsH1ntACQn7PW9Jdp6UxYxzUBPD6tEkW2zjQOvH3zCWI8Dav5whjfyjgdsWUZfBReVik+7RSkhDrG4jfZ8yDK8HCYoiQWfP/JvSsrGYONEVnRaXg75nUP4QZCqOCo/DKjMuE31IawmWBTvpk/1C8MetKjq1wU+jcXhCbbhFx8YeMebgo0b1i0VyRGJ8AvD3nGngpVEMSF0pJQqinL96fd50QKq4Er5YW4Ob0yfjHlOXCfWGqicywr74yZTxem3ml2HEzQ4esPm/NuQZBnl5mmy2nRybj0/k3ItizZ645414ukZemXyYsF4SpFxKae5S6+kTmhbhj5HQrjZKxNeNDY/HJ/BuFyDDXNjoyKBJfLPylS/YeGnLwpqm4UvDmuZxpqsUfd32H7eWnxW55oEIqkixDliREevthxeRlmBN9tvMhYzlq21rwt6wfRf45LfIDBdrS8kC/9VN54C8TFuLy5HFca4DpYltZPh7a9S2Km+u7zt/+MMy1zLA4PD1lOZL8Q2w6VsZ2Zb6fzd6Id07sFgvIgDE58tnqmvePmYNbh08VwtWZMPb6zcLCClAHzPdP7sXaohN9VuekHUxogwbpNTo8ddOdiAjjRmPWJr+hGh/lZuHzE3tRK/eux09CcHRwJK5JnYhlCaNczjTJWC5b5OW1X+PzwkMo91VCI/VePgPVXpgfO0xYOSggj8Wp61PaXI9P8/bjy/xs0R33XEiIBrYBv8yYgRtGn+e0aaUsLBwA+mopXS2nvhLNmnYhKMjsleIfio8/+ggnT57E7NmzMW+eawXuODIffvghsvNyMHz2eYhJSRI7y0hvf6QHRrAbijGK1157DaWlpbhw2TIED0tEYWONqNJJpf7TAsMR7e3PYsKNaWhvxdHactR1tIgYL4qj2PPdGhSfLhTNOzMzM+GsGHv95pxGK0KLS5RPgLidS0ZGhhAWBw8eFLVAeCGyDSUlJfDSAvOTRyE+zrl71jC2p7a2VogKOl9HjRghCgRSejPDGPD38MKUCH21XgP1yalCWJw6dcqphYWxOJeDx4WgMujUQ4UWqoKCAnsPxy1obGwUNyIyMtLew2GckGPHjomfCQkJQlQwjDGkpKSInyQsbOwksAssLOyEWq3GqFH63iAHDvRsp8xYB9ppElSC3sODYygY84UFbQwYxlhiYmLEmtPS0tK1DrkyLCzsyLhx+n4Bhw8fRkdH74BCxrIYTujoaO5QyphOU1NTl3WRhQVjCkqlEklJSV1WC1eHhYUdIXNqUFAQ2tvbcfx4z66ajPWEBbtBGHOgc5TM2CRM6bxlGFNITk4WP/PyqCu2a8PCwo5QABgFcRLsDrE+bLFghgK7QRhLxFkUFBRAo9HAlWFhYWcMwiI3N7crsJCxPGQVqqqqEvejoqLsPRzGyWhra+vaabKwYMwhPDxcBPyS2/vMmTNwZVhY2BkKJIyLixMm1uzsbHsPx+WtFf7+/hzNz5hMTk4OtFqtOF/pAsEw5liokzvdIa4eZ8HCwoGCONkdYn1hwdYKZqhuEK45wwzVHZLn4nEWLCwcgNGjR4uo4bKyMrdIRbIHLCwYcyF/OFksCHaDMEPBYLEoKioS7jVXhYWFA+Dt7Y3hw4eL+2y1sA4sLBhzod0lxeiQGy02Ntbew2GcmKCgIISEhAjX9+nTp+GqsLBwsCBOirPQ6frvisqYDvnGy8vLxX3OCGHMdYOQ+Gc3CDNUkt0g7ZSFhYOQlpYGHx8fUYSHMkQYy1FZWSnEBZVQ5/oDjCmQyDfUmBk5cqS9h8O4WHlvV4WFhYNAMRZjxowR96kxGWPZxmMGNwjvOBlTKCwsRHNzM7y8vJCYmGjv4TAuQFJnBU6yorpqiQEWFg7E+PHju0yvra2t9h6Oy8DxFYy5HD16tMsNQuKfYYaKj49P11rkqlYLFhYOBE02ypGnKPQjR47YezguAwsLxhwowI6rbTLWIMXF005ZWDgQZKbnmhaWvzhwKW/GHGje1NXVQaVSITU11d7DYVw0gFN2wTbqLCwcjLFjx3bVk6+pqbH3cJye2tpakS9OZuywsDB7D4dxQjfIsGHDoFar7T0cxsUaUCqVStTX16O6uhquBgsLByMgIKDLTMZBnJYL3IyIiGAfOWMS7AZhrIWHh4do5eCqcRYsLByQ7u4QVzST2RKOr2DMgRrWVVRUQKFQCIsFw1iaFBdOO2Vh4YDQDokULblCXL0LnrVhYcEMxQ1CqYFUGZdhLE1yt4ZkrraBZGHhgJCoGDVqlLjPQZxDg4UFMxQ3CBfFYqxFbGysWOtbWlpcrkcUCwsHL/F9+PBhkX7KmA5VMW1oaBD3IyMj7T0cxkmggDpqEkUYevgwjKVRKBRdxbJcLe2UhYWDQhOOAjmpUJahpDBjGoZdADX9oXLeDGMMhvONguuo8RjD2MId4kqwsHDgmhYGqwVnhwwtI4TrVzDmxFdwNghjqwDO06dPu5RlmoWFE2SH5OTkCLM+YxplZWXiJ8dXMMZC/u78/Hxxn+MrGGsTHh4OPz8/ISpcKVCfhYUDQwWdKMCHIoapnTpjfvMxhjGGEydOiPON6p6QC41hrG2ZTnbBNuosLBwcdoeYR3t7u6hFQLCwYIyFi2IxtibZBeMsWFg4ONRKnaKHafdNbXYZ09wgZGakG8MYI0ZPnjwp7rMbhLF1nEVRUZHLdLVmYeEELXbT09PFfa5pYTzceIwxldzcXOHrDgoK4vRkxmYEBgYKtxu54CiI0xVgYeFEQZzkDtHpdPYejlPFV/AFgjHHDUK+b4axFckuFmfBwsIJoF4FVFa4sbHRpfxw1oQtFowpaLVaEbhJsBuEsTUpLtY3hIWFE0BdOSnWgmB3iHEXCUM8CgduMsZAKabk3/b19e3qOskwtrZYVFRUdFULdmZYWDiZO4SK97S1tdl7OA5NZWWlEBdUhz84ONjew2GcqCgWlfCmYGmGsSXe3t5d1lVXsFrwGeQkxMTEIDQ0VASXGRZBZvDGY+wrZwaDguYMZbw5zZSxF8kulHbKwsJJoAukwWrB7pCB4Y6mjClQxUOKX6J+MobFnWHsFWeRl5fn9G3UWVg4YbEs8gfX1tbaezgOCwsLxpxsEAqSVqlU9h4O46YkJCSIeDrqrltdXQ1nhoWFk+U7G3ZUXImzb0jpc0YIY8p84WqbjCOgVqsRHx/vEmmnLCycuMS3s5vLrEFdXZ2I7qcAPGrwwzADQdlDtDuknSJZLBjGniS7SJwFCwsng3LsSdlSHwwqAcv0XRiLmkjRxYJhBsJgrUhNTRVZRAzjKPUsdE5cDJGFhZNBAWaGAj4cxNkbjq9gTIHdIIyjZf95enoKq6thLXNGOFLJCaHskP0HDuKHrCPYr/HGoaIyFFbXQavVwVOtQnpUGMbERWHOiGRkxLtmymVVYzNWHzyBQ2dKcbCwBDVNrZAhQ6nVwF/jDWWTDtPrGxEewA3I3Jnaphaszj6Bg4X6eVLd2CLmSYC3F4ZHBKPyTDUSVApRv4Jh7I0kSVCFx2DPqWL85qNVqGjToq1DA6VSgfiQQGTER2NKShxmj0iG2oEtspJsY0c9RbxSECL5wgMCAmz5p10CmmT/27QH/123Da2yBKUkQXvOISQZoVBI0OpkITJunzcFF4xNdwmBcbqyFi+v3Y412SeglXVQ0OfXnfv56f+S+LwLRqfhnoXTkBoRarcxM7anuKYeL/60DT8cON7vPFFIgE6WaaZg3qhU3LNgGoZHc1wOY3tkWcaqgyfw+oZdyCmrFGsYzcxzUSkU0Oh0CPH1xvUzJuDmmZPEZtLRrt8sLJyIgwUleOjT1SisroWxR420BD2XrBePXboQ4f6+cEZ0Ohkfbt+PZ1dtFheKcy8S/aFU0GVDwr2LpuOXsyZByVUVXRpazj7blY2nv/8ZHVqtSfOE+PX55+G2uZMdejfIuBYV9Y3465drsen4qa712hjouQkhQXjqqiXCMm0LWFi4GLRD//3HP4hJR7ssU6GFM9jHG2/ffgWSw0PgTGi0Ovz58zX4br/eH24u80el4p/XLIWHii8argiJz799tRaf7T5k9nuQvJiRnoh/X38RvGy4E2Tck7zyatz8xmeobW4xWgR3hyxxJDBoXVs0ZpjDXL95++YE/HwsDw9+9INYOM0RFQRN2prmFtz0+mcorq2Hs0C699GVa/H9EEUFsf5oLv7wCYkzTtN1RVZ8t3FIooKgmbEtpwAPfPAttE4clc84h7vuptc/NVtUEHQ9oOvC7z78HpuOOU6KKktyB6eioQl/+HiVuBj2NfXaqitQsXkVms+cgralGeqAYASOmoDQqfOgUPdMn6PJS5P44U9X461fXSHiMBwdEhQr9x6Grr0NlTs3oKX4NFpKCqBrbUHMhVcjKGNKj+fT72uzd6OluACtFcW0jcWoP/5L/I70xE+HTuLTXQdx1VR9eXTGNVh3+KRwlRk7T4i2yjKUrvtKnDuSUgn/1FGInH8xVD5+2HQ8H+9tzcLNsybZ5fMwro1OJ+OhT1ahrqW1T1HRUlqI8p9/QEtRvvi/d0wiIucth1dkbK/nilfLMv7wySp899ubEOYA7m62WDg4f/tqHVo6OvoUFR31NTj1zvNoKTqNkIkzEbXgEnjHJqJiyxqc+fq9Pt+PJvGeU0X4bLfjV+6sbGjC375eL8zTmuYmVG79Ee1V5fCKiOn3NQ25R1FzYKewaXsE9R2w+cz3m8RugXENaptb8dcvfzJpnnTU1yL/g5fQXlOJiDkXInTKPDTkHsHpj/8DWasRz3l+zRacrqyx4Sdh3IVPdh7EvtPF/YiKM8h//0V01FYjfMZihM1YKOZp/ocvo62qvM/3o3dpbm/H41+vhyPAwsKBySmtxPojuf2ayWoP7YWurQXxV9yGsGnzETx+GmKXXoPAMZloPHkY2tbmft/7lbU7ROyCI/PRjgNoadeLKpVfANLveRTD7vo/RM67qN/XhEycgREPPIGUm38L36T0Pp9DQX3vbt1nxZEztuSzXQdR39Jm0jyp3L4Wuo52JF1zF0IzZyN8+gLEXXIT2sqLhcXLYGZ+a/NeG34Sxh3o0Grxyrrt/f6eLNCSSo2kG+9D6NS5CJt6PpJuuE9YJcp//r7f19F1Yu3hkzhZVgV7w8LCgfl458GuaPW+0LW3ip8q3561GmhxpYgeSdF/kGJlY7OI3XBU2jVafLLjYFdMiUKl0n+uQVD5+vdyAfV1An6x+xCa2zssNl7GPlAcxIfbD5g8T+qPH4R/2iioA4O7HvNLSodHSDjqj+7vfG8ZX+87gobWNit+Asbd2Hg0D9VNLf3+vrkwT8xFlfdZl4baLwA+8alozD0i3H39QdcLsoY4lbB49dVXRa8Kigal27Rp07Bq1Srrjc7d85opB3+AoB7fhFTxs/iHT9BaViRcI3VHs1CTtQ0hk2ZB4eE54ARck50DR2V/QbEINrUWJCp25hZY7f0Z23C4qBzl9Y0mvaajoRba5kZ4RekbPnXHOzpBnEvdBe7m43o/N8NYgh8P5Yj6Q/1BrjiyWJyLQq2GrNWitULftqAv6Hrxw4GhB7rbNHgzLi4OTz31lGjWQxe+d955BxdffDGysrIwevRo643SDSmrbxSBPQPhlzIS4bOWCLNu3snDXY+HTV+AiNkXDvhamoAHCvufoPbm8JkykUplbhbMYJCwOlJUjnkj9eKMcU6OFJWJ2ApTZommsUH87MuyQY+RC1Gn0eitHwqF+BsXjuPKnIxlOFBQ0quoYXc8QiJE8LGs00HqrLtDYoMC0glNQ92gMUcktiPsWHXYJGGxfPnyHv9/4oknhBVjx44dLCwszPGSCqOeR6Zcn/gUBAzPgNLbV5jKKretEy4BsloMRFF1HVo7NA6Zr3+ilKrPWQ8SLMeKjfuOGceF5omysxqhseg0eheYpOw97w2PyfQclUq879HivgPmGMZUWjs0KBokcDx44gyUrvlcWKLDzpsnNvGV235CR2N9j/k72PXDaYRFd7RaLT777DM0NTUJl0h/tLW1iVv3AhvM4DS2tg/6nLojWShZ/RnSbn8Y6oAg8RgJDJqIZRu/R8CoiT38dOdCmpmCIx1RWDS2tQ+o6ocKvTX7zp0fOoamWrUUnWZmQ/ZHdwyPdTdF8zxhLEVT2+DresiE6dDU14q06bpD+kBictuRyKjctnZAF3f39dOemHxFyc7OFkKCuq/5+flh5cqVGDVqVL/PX7FiBR577LGhjtPtGCho00DNvq0ir9kgKgz4p41GXfZu4SumIKCBcNRaFqKinIkmbmt8x4xjQ75qU4+iys9f/NR07gC7Q48pvXyEG6Trb3AZeMZCKI3s1yRSoKfORVtFKRSeXiJ1uqwzI8QzJNyo9dOemHzGUBfA/fv3Y+fOnbjzzjtx00034ciRI/0+/+GHHxblPw23wsLCoY7ZLTDGjKVpbgDk3iZg8s0JdNoBX0+lrf08B86gsOfnt+aCTu8dFaS/wDDOS0Sgn8nN9dT+QVD6+KG1tPdaREW1PLsVIaIFOjqQ5wljGfy9PY1uKUACl9zchnosTfknoPIPgkdoxKCvjbRzV2eTV24PDw+kpaVh0qRJwhpBLbz//e9/9/t86i1vyCIx3JjBGRETIWrAD4RHcLiwSrRV9/QB1x/ZJ9JNPcP7LxBEjIyJcNjd2OjYCJP85qaik3UYFRNptfdnbMPo2Eiz5gm5DBtOHhGZVAYa80+gvboCASN6VmUdHcfzhLEMSoUCw6NM76BL2X6tJYWi5ookDbxm03XD3l16h+xc1+l0PWIoGMvg46FGWkQYTpZV9usOoLLdjXnHkP/+SwiZNFMfvHnysHgsaNxUqP0DB3QDTEwaWHjYkwmJvcdWvXcztK2t0DTqo6IbTh5GR2eEtPj8Xt5or6tG3SF9USPDjrRi609dga5BYzLFfXLLj0+MttnnYaxDRny0WfOECsrVHzuA/A9fEYu1rkNfCtwzPBpBY8+W/6b4jfEJPE8Yy5GZHIsjxWX9lhJoKsgV1WN9k4dD6e2jb1NwcDd8U0YgZPLAAfm0Fx0WGQZvj97pqg4rLMitsWTJEiQkJKChoQEffvghNm7ciDVr1lhvhG7MlVPH4slvNgxYxyL5hntFCW+Kt9C0NMMjKAThsy8UgT4DQZP6sswxcFQSw4LFgn6wsLQrOK9q58YeO8yGE9niRgSOniQuGFQGlyrXdcfwfyowQ8KCTr60yFCMihncpMg4NtFB/piWloBduYVdwb7GzBPqqZN47d0oW/+18F1TMTn/tJGIPP/irvgKmidxIYGYmNS7PwPDmMsvMkcPWNFVbAgVClTt3CCKYamDQhAxewlCp8wZsOghQWfAVVMzYG9Mapt+6623Yt26dSgpKRGtU6lY1kMPPYSFCxca/Qe5bbrxNLa2Ye6Tr6Olo3f0+lAga8WkpDi8ddvlcGRWHTwuurpag8cuXYDLJ4+1ynsztmXD0Vzc8+43Fn9fEhZ/XDYX18+YYPH3Ztybm17/FFn99AoZCt5qFX7+8x3wtVLsnFXapr/55pvIz88Xro/y8nKsXbvWJFHBmIaflyd+t2S2Vd77T8vnwtFZPCYdExNjLJq9Qe81IiYcl0zkuiuuwtwRKZgxLNHi8yQ5IgRXOsDuj3E9/rR8YIuyufx+6WyriQpTcMzIPaYLMmuRT86Si+bdC6ZhWFQYHB1KhX3yysVQKZSDBrIaA70FJSc+feUFUCl56rsKlBXyt8sWwlOlsliaHdlxn7ryAqMj+BnGFIZHh+Ou+f3XfzIVuj5MSYnDFZMdQwjz6uoEF9fnr1uO+JAgi4iLZeNH4LY5Z4PTHB363C/csBxKSTEkcSFEhSTh2WuXIi3S8UUVYxpRgf545aZLxDkyFHGhF5/AiisvEBknDGMtbp87RazHQ13Vac4nhAThuWuXOUxdIhYWTkCwrzfeu+NKjIw2L9jQsM6S9ePJKxY7zOQzlpnpSfjPLy8RmTLmiCt6jadahX9fvxwLRqdZZYyM/ZmcEoc3b71M1GYxthDRufNErVLin9dcKBZ8hrG6RfaKxbhyit7KYO6yTEHo7/36KgT5esNRMCl40xJw8Kb5aLQ6vLV5D176abvIlDCulLEMP7UKz1y7DHNGpMCZqahvxF+/XItNx0+Ji8BggU+G50xNjcffL1+EmCCeb+5AVWMz/vbVWqw9nGvSPKF4nieuWIyE0J6VbBnGFq3U//zZatR2NZ4cWGWQVY5u9y6ajptnTrKZa9fY6zcLCyekpLYBn+3Kxic7D4hOdgR1YSRkyF0LaUKwP8IbypHsocOD9/8G/v7OX0GQpuve/CJ8tOMAfjqUIz4rbU7JVUIYBBeddPNGpuCaaeNwXmqCydUZGedn/+liMU9WHzwhimj1NU/osVnpybhu+nhMT0t0Omse4zp8tvIrfLvvCE6r/FHZqukSvYai9YZCcEE+Xrhq6jhcMWWsSLe2JSws3ACtTof8yhrR/ruwqhYdOh281Wp9jYbYCFHW9a233hJl1Km/y6JFi+BKNLd34Fhxueg+WdPUInK46aSjiqJ0c4ToaMb+UKM96vZ4pLgc1Y3NIN0dKOZJuJgn/l6DN3ViGGvS1NSE5557TjT3vPnmm+EZFCLW9ZNlVWjp6IBaoUB8aJBY15PCgu1WMZmFBSPIyckRhcyoFPv9998Pb2/H8cMxDMMwwKZNm7BhwwZER0fjtttuc1gLq1XqWDDOB/V1iYyMRHt7O3bt2mXv4TAMwzDdICvFnj17xP3zzjvPYUWFKbCwcHFoks6cOVPcp460JDAYhmEYx+DIkSOiRYafnx9Gj3aNwn0sLNyAUaNGISQkBC0tLdi3b5+9h8MwDMNAH4y+Y8cOcT8zMxNKpWsUZGNh4QYoFApMnz5d3N+2bRs0Gsv2HmEYhmFM58yZMyguLhaCgoSFq8DCwk0YN26cSDclk9vBgwftPRyGYRi3Z+fOneLn2LFj4evrC1eBhYWboFKpRMopsXXrVug6c6IZhmEY21NXVyfiK4ipU6fClWBh4UZMmjRJpJtWV1fj6NGj9h4OwzCM27J7924RY5GUlISoqCi4Eiws3AiqZTFlir4B2ZYtW8SkZhiGYWxLR0cH9u7d65LWCoKFhZtBk1itVqO0tBQnT56093AYhmHcjoMHD6K1tRVBQUFIT0+Hq8HCws0gV4gh+pisFgzDMIztkGW5K2iTNnqUtedquN4nYgaFgjgpvamgoEDcGIZhGNuQl5eHiooK4ZoeP348XBEWFm4IpZ1S+inBVguGYRjbsbPTWkGiwsvLC64ICws3ZcaMGaLcNzUpo3gLhmEYxrpUVlaKNddVgzYNsLBwU6jEt6EuPVstGIZhrM+uzkaQFLBJa7CrwsLCjTE0J6MiLVTbgmEYhrEOra2t2L9/v8tbKwgWFm4MtVMfNmyYiFKmapwMwzCMddi3b5+oXxEREYHk5GS4Miws3JxZs2aJn6Sk6+vr7T0chmEYl0On03W5QchaQfFtrgwLCzcnPj4eiYmJYuJv377d3sNhGIZxOY4fPy56g1AdIWo45uqwsGC6Yi2oxGxzc7O9h8MwDONS7Nixo6tfE1U+dnVYWDBITU0VTXDI/2cw1zEMwzBDp6SkRBQipAqbkydPhjvAwoIR/j6D1YKKt7S1tdl7SAzDMC5VEGv06NEICAiAO8DCghGMHDkSoaGhIiXK0HWPYRiGMZ/GxkYcOnTILVJMu8PCghGQmY6qcRIUxKnRaOw9JIZhGKdmz5490Gq1iIuLQ2xsLNwFFhZMFxkZGcJURyr7wIED9h4OwzCM06LRaISwcDdrBcHCgumCOp5S51OCCmZRCirDMAxjOocOHUJTU5PYrJGr2Z1gYcH0YOLEiSLXuqamRpT6ZhiGYUxDluWuoE3KBKFNmzvBwoLpgYeHB84777yu5mR0gjAMwzDGU1BQILpGq1QqsVlzN1hYML0ghU0Co6ysrKvFL8MwDGNaQayMjAz4+PjA3WBhwfSCXCGZmZniPlstGIZhjKempkaU8CYM1l93g4UF0yd0QpBfsLCwUJj1GIZhmMHZtWuX2IylpKQgPDwc7ggLC6ZP/P39MX78+C6rBcMwDDMwVLU4KyvLra0VBAsLpl+oYBaV+z558qSod88wDMP0D9X/aWtrE1WM09LS4K6wsGD6JTg4GGPGjBH32WrBMAxjXIrplClTxKbMXWFhwQyIoTkZ1bSoqqqy93AYhmEcEsqgq66uhqenZ5cb2V1hYcEMSEREBIYPHy7us9WCYRimbwzWiokTJ4p0fXeGhQVjtNXi4MGDqKurs/dwGIZhHIry8nLk5eUJ98eUKVPg7rCwYAaFOvMlJSWJ3iHU+ZRhGIbpba0YMWIEgoKC4O6wsGBMslrs27cPzc3N9h4OwzCMQ0DrIVlz3bGLaX+wsGCMgoq9REdHo6Ojo0udMwzDuDu02aIW6VFRUUhISLD3cBwCFhaMUZDvcNasWV2V5ShXm2EYxp3RarViPTQUxHLnFNPuqODEOcO5ueU4fLQIOTllqKpqhE6W4efribTUSAxPj8LYsfFQq92rXa01If9hWFgYKisrsWfPHsTFDcehw0U4kVOK8op66LQ6+Ph4IiUlHOnDojB+XAI8PdX2HjbDMANQVl6HgwcLxXlcXFyLjg4tvLzUSEwIRXo6nceJ8Pf3gjtSUlKL7EOFOHGiFMUltdBotPD29kBSYpj4bjzUTWhoaICvry9Gjx5t7+E6DJJs4w5T9fX1CAwMFNkFAQEBJr+eDuyaHw/hy5W7cSq/EiQQFQoFtFqd+L1CoVeMOp2MgABvXLR8An5x8SQEB/ta/LO4I/v2ZeG/b36H0jI1ajsTRJTKvr9/Hx8PLF0yDpdemonIiEB7DpthmHPYs/cUPv9iN3btzut1HndfV1UqJRbMH4XLL5uMlOQIuEWhq1254rvZl3V6wO9GoQAiI7T4xcUTcfnlS+Dq1Bt5/XYqYZGbV44VT3+HvLxycXCNGTld6Ehh/vb+CzB3zgg2VQ2BouIaPPX0dzh8pIhOP5o+Rn3/ZDW669fzsWzpeP7+GcbO1NW34IUXf8SGjUfF+UmbgMFQKul5wHXXTsP1106Hh4fTGrsHpLq6Ef96fjW2bT9p9HcjSTIkSYGbb5yFq6+aKoSYq+JywoJOgief+kaICWMOdncMImT5svG4755FQn0ypu9u/vLXL4RPUas1b8rMmpmOPz98kcsuSgzj6JzKr8CDf/gYdXXNJq+jhrV0WFoknn7qagQGeMOVIFfQ7x/6GE1NbWZ9N8SY0bFY8cSV8PX1hCti7PXbKa6wG38+hsef+Fpc0Mw54Abp9O13+/H8v9cIUxdjPPuy8vHwnz9DR4fGbFFBbNmag7/9/asukyLDMLajoLAK9//2A7NFBUFL58nccvzuwQ/R2NQKV4Gs4Q/87sMhiQriyNFiIU5aWtrhzji8sDhzphornv7WYu/3/aoDWLVan3PMDE51TRMeeWylONmGqsdI0JGJ8aOPd1hqeAzDGEF7uwZ/feTLIV84CXp9/ulKsUlzBVpbO/CXv36OtrYOi3w3J3JK8cp/1sGdcWibNB2kp575TlR87Iua6jzs3/dGn7+bOPlOBAb2nVP80itrkTkpGRERpgePuhMkBJ7/92qhvo218uSf2oBTuT/C1zcSU6bd3+dz3nlvM6ZPT3OLQDCGcQTe/3AbCs9UDbg5aKgvwqm8dairzYdOp4G3dwhiYicjLmFGn2vz+g1HMXfOSMyckQ5n5s23fkZ5eUOfa9zRw5+htGRfv6+dPvOP8PQK7PXdfP/DAcyZPUJcZ9wRhxYW27bnCNPSYMTFT4d/QFyPx7y9Q/t9Ppn06USjgE6mf44eLRbuC2Npba3D6VMboFQO3ICHzt83/7cJTzx+uQVGyTDMQNTUNAkr4UCiorrqBA7ufxf+/jFISj4fSpUHWpqr0dpWP2C8xauvrceM6cOcNiibUm2/XLmn3+8mJnYKgkPSznlUxvGjX8HLO7iXqDAgSRL+89p6vPHaLU773bissFj51V6jInMDg5IQETnW6PelOIEffzqE22+bCz9f98zPNoavvtknosGNjavIzfkBAWQlknXo6Oi/7Dcdzx07T6K8vJ6tRgxjZVatOTjgGqrRtIqdeWjYCIzJuFZkOBgDXYypzkNW1mlMnJgEZ+S77w+IC39/FtnAoERx606tsOh0IDKq/9bosiwj71QFjh0rwciRMXA3TIqxWLFiBSZPngx/f3/RTvuSSy7B8ePHrZb2k7X/tNE+L42GfIdak3yOW03Yjbsb9P1s/Pmo0aKituYUKsoPYdjwZUY9n07m9RuODHGUDMMMxuo12QO6MstKD6C9vREpaYuEqNBqyfVpXIA1bTx+WnsIzsqaQURXX5SV7hep9gMJC4KyD3904u/GZhaLn3/+GXfffbcQF1Qb/U9/+hMWLVqEI0eOiMpjluT4iVKjn3vsyOfiZKCTgqwXqcOWIOAc10hfB/3Y8RIsXmS8pcOdOHWqAhqNcYsLLUInjn+D6JhM+PlFGf036PtnGMZ6NDe3iQD4gaipPgml0hNtrfXIPvAeWporhTszMmoC0tKXQqnsv3oubTwOibo2zukiqqxqNOk1tHmtKMsW8Xve3sEDPler1eHIUef8bmwqLFavXt3j/2+//bawXOzduxezZ8+26MBOniyDUiFBO4CaVCiUCI8Yg9DQ4VB7+KCpqRyFpzcja89rmJh5J/wDYgY86Hxh65+c3DKjn1t0ZifaWmuRPPFWo19DuwSK4WAYxnrk5VUM+pzm5kqxOcg+8C6iYzMRnLYYNTV5KCrcDo2mBaPHXjPg64uKakRmBZUBdyboGmMqFItCbt7I6IGtFd03aHStcbfaSUOKsaAiGURISEi/z6FmVd0bVlGBDePeuxkSlYceQFic6/8KCx8lhMbuHS8gL3c1xk24ZeC/Ucvtv/ujvq6lRxnb/uhob8KpvJ+QmHw+PDz8TPobDY2ukwfPMI5IXf3gaxxZeylmICZ2KtKHXyQeo3VU1mlRXLQLyakL4eMTNui57GzCgiqQmgq5jSRJiYgI4yzdGo0OLa3tbhfLZ7aMohTQ+++/HzNmzMCYMWMGjMugSl2GW3x8PKwJnQBh4SNFKqqxfkLGfPJyf4Ja5YO4+Gn2HgrDMGagVOgFQWTUuB6PG2II6msL7DIuR4Pi+CorjiAkdBjUHtx7yirCgmItDh06hI8//njA5z388MPCsmG4FRYWGvX+gYE+kM0sVuLpFQRZptLTA1c/CwzyMev93YGAQO9BrRVkQqUdDaX7trU1oKWlRtwoB14na8X9gbJD/P3cS8UzjK0JDBh8jfPw9Nf/PMfiaLh4dmgG39k747lsaklyEhWDZYOci0qlgLfXwOn3rohZrpB77rkH3333HTZt2oS4uIGDJD09PcXNVNLSIgeMrxiI1pZqKBSqAespkJl/xPBos97fHRiWGjnocyjYi3K6c058K27nsmPrM0J0DBu+vNfvKI3YHdOwGMaWpKYOXoTOPyBWBHC2tdXDxze86/H2tgbx02OQ3XlsbLDTuUEM1xhTs0HomkIWcWNJTg53u/gKk4UFpSzde++9WLlyJTZu3IjkZOtVFRuePnh2AaVInauyGxtKUFlxFKGh6QPmY9NunIXFwCcEqe2BMkN8/SIxJuP6Xo+fyv0JGm0bhqUvg7dP/4XK+PtnGOtCnZ3j4kIGzAyJiMhAQf7PKCnejeCQ1K7Hi4t2izU0KDhlwHTTMaNi4YwEB/siLNTPqMwQutaQ+IqIHDdoAUADJChGjXTO78amwoLcHx9++CG+/vprUcuitFSfEkqxE97elu10FxLihwkTEnHgQEG/ecaHsz+CQqEWAZykqpsay4VpntKjUoYNXFWTOmzOmDHMomN2Jej7oXK9GzYe6beWBX3n4RGjez1+pmCr+NnX77qL1PPnjbLgiBmG6YsLFo/Fm//7ud/qkpQ9R6niJcVUgVKHoKBk1Ii6NNlISJoLT8/+i9jR2rBwQf8xdo7O4sUZ+Ojj7YPWsigvOyi+G2OzQQyb10VO/N0MBZNsNK+++qqIk5g7dy6io6O7bp988olVBveLiycNeMDDw0eho6MJhQWbceLY1+Lg08Vs0pS74esbMaDKXrRwjNtF6prKJRdNHFI30/6RER4GFBbm9NsHhmGYodPU1AQPFaWcDnwep4+4BEkp81FfV4icE9+jsaFY1LBITVvc72uoUnV0dJDYADory5aOM6oPErlB1B5+COlV3rv/AoApKeEYMcI9rbKSbOMe4sb2cydIVNz3wHs4frzEohc48ge+/eZtXE56EGhqPPLYl6Ij6VC7/p27IE0cTylYMsLDw7FgwQIMG+a8/QYYxtGgAoY7duzAli1bRLr/qdNKFBRavoPD3x691OmbkL386lp8uXKv0Y0WjeWZp65yuSZkxl6/HTqqhAL8/vj7ZVAoLDvMe+5awKLCCOhCf/9vLhB+Wkte9G+6cSYuv2yxcJ9VVFTgo48+wnvvvYeSEi5YxjBDgS6O2dnZeOmll7Bu3TohKsiq/Kc/Xo2E+FCxploCep/z5zl/Z1Pi1l/OQUSEv0W/m6UXjnM5UeEyFgsDG38+hsef+GrA7nzGsnTJOPz2gQt4d2wC+7Ly8cc/fSqsRkOZLvSdTzsvFY89cqkIbGptbcXmzZuxc+dOaLX6Pi/jxo3DvHnzxBxhGMZ4Tp8+jR9//BHFxfqKtrS+nn/++cjIyBDnXuGZatxz37toaqK+SvKQLpxJiWF4/rnrXMadnJtXjvvufx9tbR1D/m7Sh0Xh2X9cIzZkroax12+nEBbEho1H8eRT3whxYe6BX75sPO67Z5Fbpv8MlT17T+Evf/1CCABz3VKzZw3Hnx++CGq1ssfjtbW1WL9+vdhpESqVCueddx5mzpxpVqoyw7gTVVVVWLt2LY4dOyb+7+HhIc4dOofU6p5poPmnK/G733+E2tomszZqtB8bNiwKz6y4CgEm1oFwdE7klOL3D308JOE1dkwcnvz7FfD1dc11y+WEhUFVrnj6O+TllYsJbuzIlUoZFyxKwG8foJbAbKkwl6LiGjz9zHc4dLjIqHb2BD2PhMRdv56PZUvHD/j9006Ldly08yJ8fHxEoPDEiROhVPYUIwzj7jQ3N4vGkHv27BFB0HRu0blC54yfX//l9c8UleP3f3gTZeUSyMtsTPw0bcbofL/u2mm44boZvTYHrkJ1TROee341tm7LMXqNo2QA4qYbZuHqq6ZCpXLN78ZlhQWh0Wix5sdD+HLlbpzKrxQCg2IwDFUiDX4ymhAqlYyxY4Lg5VEODw/g9ttvF/5GxnzoeyXr0Zdf7elqIta9p0j379/HxwNLLxyPy36RaXRMC03HEydO4KeffhI7MSI0NFQEeA4fPpyFIeP2UGAmuQ/JjWjow0TBzwsXLhTB0IPxxRdfiKrJKnUkGhpDsGt3Xq/zuPu6ShfKBfNH4fLLJiMlefCCW84OrUE7d+Xiiy/3YO++fPGYSqmApo/vhtLyFy8cg8sunYyEhP5r9rgKLissDNCwc3PLceRosTBhVVc3ikqdVFo2LTUC/n4ydu36Ed7enkhNTRWt3alK6C233MIXJwtx+nQlDh8pEt9/eXm9ONHIBEiLT3p6FMZlxMPT07yKfORy2bdvnyjERjszIjExUSyesbHuWXSGcW9ozTt8+LAIyiT3IREVFSXOiZSU/otYdSc/Px/vvPOOWANvu+02sdEqK69DdvYZcR4XF1MZfq04bxMTw0ShwnEZCfD3d41YClMpKalF9iH9d0P3aWNLsRMUY0IuoXHj4l0mzsQYXF5YDAZ9rH//+9/i7yxZskT4IDs6OnDJJZeIAEHGOaAdGaXMUeoc7dQIano3f/58BAUF2Xt4DGMTCgoKhJuwqKhI/J8KFFJgJq1lxm6USKy/9tprIhMrMzMTS5cutfKoGVfD2Ou35RObHQQ62eiko34mZFqfPXu2UPpkYh8xYgQHBToJdJxIRNBCuGHDBhw4cECYcY8ePYqpU6di1qxZ8PJynx0D416QO5DWLZrvBAVjUmDmtGnTegVmDsbu3buFqKA0bxIlDGMtXDo9wmCZyM3NxahRo4SvnirRkXmdcS5IJZO1ieJkqEcN7b62bduGF154QVgzDOmqDOMKkPtv9erVeOWVV4SoMARm3nfffWKTZKqoaGxs7Fr3SKhbugUDw7iFxYIICQkRfnnKMiDf5AUXXIAPPvhABD5NmDABERGuH4jkapBP+IYbbsDJkyeF9Yl2YGvWrMGuXbtEgOfIkSM5hoZxWsjdR3OZAjOpzoshMJPm9lDWK3IFk1sxJiZGrH0MY01cWlgQ48ePF8Ji//79woRIbhDK96bdAF2g+CLkfNAxo8WWgnKzsrKEi6SmpgafffYZ4uPjsWjRIhGoyzDOHJgZGRkp5rKxgZn9UVhYKFyIxIUXXmjxSsYM43bCglwgP/zwA6qrq8UJRicq7XZPnTolMkVGj+6/Ayfj2NACOWnSJIwdOxZbt27F9u3bxTF+8803xXEnky9ZrRjG2QIzqfosuXKHKgKovgWtfwRZKjijirEFLi8sqAodiQeyWNDtoosuwowZM0RhGTqZaedLz2GcFzp+tBAbAjzJikGikSxTU6ZMET5p9ikzjgZtdshF0T0wk9YmCsy01Jq0d+9elJaWigBnEtoMYwvcwiZG7hCCTI3t7e3i5KVURUqdIV8m4xrQTo+E469//WvhJqHdGgV2UoAnBXoa0lUZxp60tLQIV+zLL7/cIzDz3nvvxZw5cywmKigAlErlEyS8fX19LfK+DDMYbiEsEhISEBwcLEQFnci0M1i8eLH4HZnPDRUeGdeAfNPXX3+9uNF9CoKjQE9ayClV1calWxhGQMKW1hsSuhRATsI3LS0Nd9xxB5YvXy6EsSWheA2a+3QOkDWPYWyFWwgLQ00LwhDEROWh6aSmNEXaPfDFxvUgqwWlp5IVgxZtCoqjcsYUg2HoR8IwtgrMpNRRcr/SxZ4yPEj4XnfddeLCb2mo7w5VriU4YJOxNW4z2wzCgoI26QJDYoPST+mEo2BOKqLFuB50fClo7Z577hHmYLJWUZDc22+/jU8++YStVYxVoWDi//3vf/j8889F5hI1ByOhS1YKEr7WEjKGgE1qmU4WW4axJS4fvGmAYiqosBIJC7JakC+TCmZRoBRlFJDVgk50atnNuB7kt6YgTvJlU6Eg2s1RcCcJSsosofnAPmjGUpCIoMBMCiImSNBOnz5d3KwdLE5B6iSe6e9Q/QuGsTVudRWlIE4SFnTi0UWGrBb08+DBg8KKQQKDLjCM60I7xmXLloly4LTwk7CgUsc0B6jOCT1ualVDhukemEltBKjIFcVQEGQxI2uZpWMo+vv7NK8JWsts8TcZxm1dIQRVZSQVTyLC4GOn/1NtC4KaXRmK0zCuDbWXvuaaa3DjjTeKDpFUlZCC3V566SUhMjjmhjEFitUyZCDRTxIVZAGlDCVDjI8tMHQDDgsLEyKZYeyBWwkL2okaCmKR1cIAPZaUlCSitim4inEfyD1GAZ7Uh4S69VEK8sqVK/HGG28I6xbDDAQJUHJ3UMYRlZY3BGZSUKYhK8lWUL0Ksr4R1NFZqVTa7G8zjNsKC8JQJ58WA0o/JcglQici/aR0VGpaxrgPhqwhCvCkIkJkxSopKcG7776Ljz76SPQjYZhzOXPmDN566y1RSt4QmElpoxSYSRlnthY4q1atEj+p6uxQy4AzzFBwqxgLgnpIUNAmZQNQCphBaNAug6o0Un45naB33nknK343w9CSmuYEVWbds2ePiMHIyckRQZ9z584VFw/GvSERQW4zWj8ICvimoEwqvGevKr7Z2dmiNDjNYYNrl2HshdtZLLrXtOjuDiHowkGZASQ6yE/KuCc0Byj3/6677hJN62gXSKWRX3zxRRGY19HRYe8hMnaAAiPJVUpuD4OooIBwqphJwZn2EhUUH0QF4IhZs2YhMDDQLuNgGLcVFgQJCxIYpPCpXr8BqqdvSM+iCwj52xn3hQLgrrrqKtx8882i3TS5zqgXCQkMEqWGqH/G9QMzyZJJx50qZ9L/ydVALo+LL75YxObYE7KuNTY2ioZ7lD7PMPbGLYUFLQQGH+S5VgsSHeQuoYuIIW2LcW8SExPxq1/9CpdddpnYDTY0NODrr7/G66+/zvE4LgxZqijmiipmUp0bslhQNtG1114rAjMpm8jeUPwPiR6CCv5xHR7GEXBLYdG9MRkVy+qeWmgI5DT4Lbn0M2OYF2PGjBEBngsXLoSnpyfKysrw/vvv44MPPkB5ebm9h8hYEEN11k8//VRYNck9RvVPKH2UOiLTfLA3hoBNspxRiwIaF8M4Am4rb8l3Tq4PcndQWmH3KGoye1M1RvKrU2lcMnlyrX2me6AeCVNyl1F6H5WEJ8sFPWarQkiMdaA6NhSYSc3qDMeb3AsUmEli0pEgawqtXRRkbmiqyDCOgNsKC1owaAdKkf/kDjk3Pev8888XKam0E6WLBxebYbrj4+MjTM+USUQXIporWVlZ4oJkq9LNjOWg+hObN28WbgWKoSAMQtHeMRR9Qa5aqptBUCYTdW9mGEfBbYWFYeEgYUHKnxYWsmB0v3CQuPj+++9FNTsSIdxLgjkXCpi74oorRLMpyhig2gYUTEfWLroo0Rxja5fjQiKC1gA6ZhRDYSiaRu6u6OhoOCpUJZisrdQDiawpDONIuPWKRy4PCsaiipuG9LHuUO0CCtAi0UG7Uobpj/j4eNxyyy1CZNDukaL0v/32W7z22muiDgaXCHcs6HhQE7rugZmUBURl3m+44QaHFhWUDr9t2zZxn1wg3NuGcTTcWlgMVNOCoJ0m1TMgyMxNAV0MM9B8oqqHd999t1jwvb29hSvtww8/FEGeVHKZsT90Hr/zzjv45JNPugIzly5dKoripaenO0Rg5kCCiIQQWVqoFwkFbTKMo+HWwoLIyMgQCwmZsCsrK/vciRrEBwVy8s6TGQwKpjvvvPNE4SQK/KP/5+XlCevFV199xfVR7BiY+eWXX+K///2vyPaiOCsqKEXHKTMz0ylcVlQJloKFaayGNgQM42i4dYwFQRH8VNefzNVktTAUyOoOPUZm0+LiYmG5IBcJwwwGWSyovPLkyZOxfv16EdhJ6c3kdnPUTANXhFyZFJNA1XQNgZm0WaAYGGeqUkkuW7JWEDR/qDUBwzgiji/RbVjTgtpl91VNkfpDULlvgopmGYK8GMYYKOaCimtRka2EhARxgaAMBKrkSBlHXMHTOpCI2LVrl/iet27dKv5PXYwN3WydSVQQ9BnI6kKbodmzZ9t7OAzTL25vsSDIr0q7S6qoSCbrvjoT0q5z3759otIdlXU2xF4wjLHExsaK8uDHjx8XvR3Iv0/uNbr4kVXM0f37zgK5K8llQN8xBToSFJhJmR6OUtzKVEhQkNWFICsYpzIzjgxbLDprWowdO7bfIE6C/OSGipyUnsaBeIw50EWNirNRgzOaT5TWTLE9H3/8sWjTTu42xnzo+6Pvkb5PEhX0/dImwBkCMweCalaQpYssLqNHj7b3cBhmQFhYnOMOoViK/lwdlN9OJzXtiDiQkxkKJFSpuBYFDlKsBf0/Pz8fb7zxhggwpB0qYzx1dXVYuXKl+P7oe6TNAhWOuu+++4S10RkCM/uDgjVpXTK0G3BWccS4D+wK6YTqVURGRor+DxRkR4tRX5AZksysVBCJeolQVgnDmIuho64hwJPifGheUSVPyiyhi2P3wm1M75bhhsBM2tETdE5ScTtni6HoC4oLMQRsUvXfiIgIew+JYQbFeWW8jWtaGKDyvobAKfLh0sLGMEOFLoK/+MUvcNtttwlzN11QKFjvhRde6FFmmtFDAa8U+ErfDwkLEhXUhZa+P/oeXUFUENSmnVw6VGtjzpw59h4OwxgFC4tu0E6HTKbkpx2oWyXtJKmUM1VXpFLADGPJarA33nijqABJAYfklqMdK1WIpNLz7u5+MwRmvvrqq8Id2dzcLNIur776atx0003i+3MVqN4JNbojKPCULVeMs8DCohu0KzC0Hh7IakH+W0MgJ+0mKVOEYSxpPaNAQwo4pIqQNC8pg4RaeL/11luimJs7UlJSIgIzP/roIxHwSoGZdB7S90QVKF0t9oAsoh0dHaJIH7tcGWeChcUANS0GMj9TSiotZmSSXbVqldvvJBnLQ9YzqghJAZ5UIZIELcX2vPnmm/j8889RU1MDdwrMfP3110VgJgW6UsArfS8UAEv/dzXoc1KsF4klympxNdHEuDYcvHkOZLGgnVBTUxNyc3PFzrE/qB8ERWyfOnVKmKmpTwTDWBqqzknBiCQyqIYKWdOoeidlClDQJ8X8UB0WdwjMpLRw+i6oq6erQhsa2qwQkyZNEoHlDONMsMXiHGj3YzA7DuQOMVRUpKh9Q555e3u7TcbIuCcUOHzxxRfjjjvuQEpKirgA0UWXAhgpyM9w8XV2yApItWKoYqYhMJMqllLl0ksvvdSlRQVBQakU40VikUQUwzgbbLHoxx1CCzZVSKTgMLJg9AeZZKn/g6EyHi8EjLWhHez1118vLGrkh6eL0I8//iguSPPnzxeWM2c0nZM7kXr20GcyNASkIGkKXHTFGIq+oIDwjRs3ivt0LF3REsW4Piws+oDqWURHR4tgMaopQPnj/aFWq4VLhFowb9u2TYgSWgwZxprQRZbifMhyQZY1cpFQzAXFXsTFxYmLMe3ynQWqZEviiNyKBF1QqT8PuQJcMYaiP6gXEbmAKLtlwoQJ9h4Ow5gFC4t+IIFAwiJrXxZiQxKQszcPZ04Uo6OtAx5eHogfHoNhk1IQnRIpdlOpqaliB0mpgddee614j5amVuRmncLJrHzUVtQBMhAQ6o/UCUlIm5AM34D+LSEMY2yAJ3XbHTNmjHCHUO0Lyhqh7JGRI0eK4ltDEbpkRSgvqMSJvXkoOHoGbc1tUHuoEZ0aifTMVMSlRw+pqiWlVBriRggSESTkKVjVVdIrybVTlFMi1pCik6ViDfH09kT8CP0aEpUUIYQiBeaS9ZOggE1nrhbKuDcsLPohPjIBRVsrsWvnMXzRsE48plQpQdZYSgDRavQZIxGJYbjk7iWYcdFMsduiHPvvP1iDrG8PY8uXO6HV6CApJCiU+kVCp9VB1snisWnLM3Hx3RdgwvyxbmHmZawHNaWiAkokMsiUnpWVJQKKyZ1HQZ/0u4FceufSVN+Mn979GV+9uEpcFAmlSiHmaff5HxgegIvuXIwLb5uPsFjj23jTrpxEUPfYEBJHZP53lRiK6tIarPrvenz9ymrUlNb2u4ZEp0TgorsvQAlOi/+TpYIa1jGMsyLJNs6TpB0KVcWjFDIKRnM06OtY9d91eOWBt9HW0iasDINBIsHL1xPTrpuIfWsPoPZkk1iESVQMhEKlgE6jw/h5Y/Dg/+5CZGK45T4I49ZQ3AXFKlDWkiGzhKwAZA2gtNWB2LJyJ/5123/QUNOof2CQc0BBwlmlxK1PXotf/ObCAV0XtHsn0UNWCsq8IshlQ64bcuG4AvQZv3llDV7/w3vQtmug0w3yBXbuKZSeCoz8RRIef+3/4OfnZ5OxMow1rt8sLLpBrovHr3gWu1cPnA1iaUhgqNUq/OnD+zH94r57lDCMOeTl5YnYBeqBQ9C5R1YBsg6cayXTdGjw3B2v4ce3N3ZaJkxfGkbPGI7Hv/kj/IN7XhjpvUjkkNgxFJQjFw25aqjbq6tY7MjS88gvnsGBDYfNfo9518zE79+6S7icGMaRYGFhIq3NbXho0eM4tjNHuCtsjVhXJQn/9+nvMOvS/oNFGcacHTQVfKMmZw0NDeIxCg4kKwH1JSHILP/3q5/D1pW7hlTsjVx+CSNj8dymx+EX5NsVmEmCgkSOITCTXDPkonGlwMzmhhY8OO9R5B7IH9IaQhbQyReMx2Mr/wCVmr3VjOPAwsJEnr7xRaz/cPPgZksrQrs2Wphf3fcMksc4T0Q/4xxQeWhKo6a0aEPNFQo8JqvBt8//hI9WfCl8/0OF5vCkhRl46KN7RLxH98BMqpRJBb1cJTDTAC2jj13+T2z/Zo9FNia0Flz6mwvx63/dbJHxMYwlYGFhAtu/3YO/Xvx0n79rlOuQhyNoQC3a0AollPBFABKRjnBp8IZHGlmD0ziOelSjDtXQoAOjkIkYSb9T7GtRJlHx8u6nRKAXw1gaQ/O8vXv3igtiY3ELDvw3t19RoZO1yMVhlKAAGrTDD4FIxRiESpED/p0RlyYgbKz+HB89erRwwVBROVdk4ydb8cQ1z/f5uzq5WgRm1qACLWiCGh4IRChSMRq+kn//bypBWH7GzBhhvYEzjBWu326fz0TVC1+46w1hfuyLVjRDCw2ikYjhGIdkjBSPH8A2nJH1pt2B6EAbTuEomtAAfwwe7U67ndyD+Vjz1gYzPg3DDA4FBlJzs7vuuktYLE7+UDxgfOZh7EEBchCNBKRjPCRI2I8tqJX1Raz6I+f7M4iOiMGtt96Kyy+/3GVFRUd7B1669029O7MPaGNRjiKEIALDMR6xSEEtKrALa8XGpT8o3ZTWJu5DxDgbbi8sdn6/D5VF1SIFtC/CpGhMkGYhRRqFWCkFCdIwTMIcsWujxXYwPOGFWViGmdKFGIaxRo2JFu4v//09LyiMVaG27JnDp6KxqKXfzA/abZehEGkYg2FSBuKkFEzEHHjBBzk4OOD7a9t0SPBMdZlsj/7Y8uUu1FU29GvxScAwzMSFGC6NR6yUjBRpJDIxFzJk5OP4gJuMU9kFOLrjhPUGzzCOICw2bdqE5cuXi+Av8gN+9dVXcGYotdRQY8JY6HPTwkpm4cFQSEp4Sqb5k0lQnD5yRhQlYhhrsvp/60VqdH+U44wQurTLNqCUlIhBsnDttcrN/b6WrIDfv/4TXJ3v3/hJpNz2R5AUBoXU8zv2kfyFS7UJ9QO+Nx0bWqMYxqWFBeWejxs3Di+//DKcHbqAH9pyzKhgK62sQbvchma5EaflE6hCqTBtWgsSL0e3806FsS4Hfz4yYL0Vii3ygR9UUs/Ux0AEd/2+P8gKmLPvlHAVuHLGzbEdOSYHfdPa0442qOE54PPo2BzcfHSIo2QY22JyLtOSJUvEzRWoKKxEY62+SM9gnMBBFOGsBSECsRgO69XyVyglnNiXa7X3Z5j2tg4UHDsz4HMoYNkDvS1uHvDu+v1AUBrr6cNnRAl7V+TMiRK0tZje1bgUBWhDC1IwatDnFueWilRWH39uSMY4B1ZPkqbSvXTrHlXqKFBshbEkIE2ICVpIy1Eo/KM6WK/eBe1UKgqrrPb+DFNXUT9odVgdtFCgd3aSotPYSb835jxzVWFhyhpioEmuxzFkIRAhiEHf2WE9kIGasloWFozTYPXgzRUrVoj0FMMtPj4ejoIp+ea+UoBIr4uREjFemikyRQ5gq1UDLA29BBjGXvOfREVf4sEgqvsSHeb8HWfF1M/WJrdiP7ZCBTUyMM3oiqOu/B0yrofVhcXDDz8scl4NN+rg5yj4BprfXTQCcahHDZrR2U/BwtCCY6hcyDD2mv+U1dTeh7ujHS1dvx8MnwDX3Wmb8tk0cgeysEXUspmAWfCUjH+tN1srGCfC6q4Qan5EN0ckbniMKEJljmXAsIujRcJaMRap44wwkzKMmZBwDYkKQnVn582+oNorVNiJLordAzgpI8Tw+8FIyUiEq5I8Jl7fRGwQw6VW1gpLRTMaMBGz4ScFmHScQqNdswYI45q4dR0LavKTOHrgHPt2ufduTSfrRCU9MgNTypg1IN/3sElnU/wYxhqMOG/YgOnWFFdE8UTdA5epEmcxTiMAIfCSBrZ6hMWGICB0gOqSTo63nzdiUqMGfA65S7OxA3WoQgbOQ5AUapLlMn1yqss0aWPcA5U55YANrZiJU6dOiV4A1KmQ2h87G/OumiGK0PRXIOso9ondWjDC4QlvEbxJEd208xiGDKikwb/CQvkkOtDRZT6uQAla5ZauoNBzU/kILz8vTJhvXEEthjGXOZdPw7avdvf7+0ApFBFyHE7ikEi39oafENWtaMIoTBrwvUmwzLt6Blwd+owfrVjZbxzECRxAJUoQhmixCpTIp3v8PlpKHFCUzL1yusXHzDDWxOReIdRUaN68eb0ev+mmm/D22287Xa+QmvI6XBN3R7/ukFK5EMU4hUbUiUVBCRUCEIx4pBnVK4TYIv8gSoP3xQwsgbfk22tBvvjuC3DX87804xMxjGkpp1fH3IaGmqYBzfh5vXqFjEaoNPBOnXgn58VBd/TOTsWZKlyXdGe/m5M98kbUov/y5wuky/v9nbefFz4t/S+8fBzTncy4F8Zev022WMydO9elSk0HRwSKi/jKF3/oc2GIkuIRhaFlslA5b1NQqZW47IFlQ/qbDGMMHp5qXPvny/Dag+/2+xyqtEnWOboZC4njuVdNd3lRQYTHheKCW84X/X36slpkSnPNel/yflz10CUsKhinw61jLAzc/PerEREfNmBZXlvy62dvQmRiuL2HwbgJv/jNhRg+OQ2KAUp7mwKV8vYP9sXdL9wCd+GOf9yAoPCAfpsZmorocjw2EVf94WKLvB/D2BIWFmRu9PXC/336W6g8VHYVF7QozbpsKpbesdBuY2DcD6VSiT99+Bv4BviY3Denr102deX800cPICDEdYM2z8U30FesIZRlNlRxQceAXCB//vgBqNRWT9xjGIvDwqIT2rE9uerPUHt5DNiUyWpIwPSLJuPhD34jFmaGsSXksnh2w6PC0mDu/KcLIl1YH/niQUx0w8DjMTNH4vFv/ihcmeYKNPruqcLmP9Y9goQRsRYfI8PYAr6CdWPcnNF4Zc/TpteP6NygRCVHCKuHKQszmZ9pMb71yevEjodSYBnGHpDp/dV9/8D4eWPE/01JcaTnxqVH44XtT2La8ky4K5mLxuHlXU8haXS8sN4Yi+G5JE5e3fcMhk3kVHPGjbJChoqjZYX0hVarxbev/ojPnv0W5acroFQroe3onTViKK4VnRKJK39/MS68bT5KT5Xj3Uc/xcZPtolALip0dW4/BtrN0NdOi/GMS6bgpseuROIoxyl1zrg3NDfXfbAZH634EgVHi8Q812m1OHelMJwXIdFB+MV9S3HZA0tZGHei6dDgqxdX4YvnvhP9RPpcQyS9G4rWEBJlV/3hEiz+5TyuWcE4LMZev1lYDNISed/abGStPYhju0+i8FgROto1UHuohBAYPjkVExeOw4Tzx/RaDGor6vDzp9txfPdJHN2Zg/rKBpF14h/qh5FThyE9MxVzrpzOFfUYh4WWhsPbjmP3qiwc35OLU9mn0d7aIfz+scOiMGJyGsbNG4MpSyYI8cH0vUnZs+YA9q8/JNaCwuPFQnSoPdWiamd6ZhoyF49DxuxRLCgYh4eFBcMwDMMwNr9+c4wFwzAMwzAWg4UFwzAMwzAWw+ZJ0gbPC5lUGIZhGIZxDgzX7cEiKGwuLBoaGsTP+HjOgmAYhmEYZ4Ou4xRr4TDBm5RpUVxcDH9/f46CZhiGYRgngeQCiYqYmJgBCznaXFgwDMMwDOO6cPAmwzAMwzAWg4UFwzAMwzAWg4UFwzAMwzAWg4UFwzAMwzAWg4UFwzAMwzAWg4UFwzAMwzAWg4UFwzAMwzCwFP8PWQ5tIdzd6WwAAAAASUVORK5CYII=", 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" ] @@ -258,12 +258,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { - "image/png": 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L21dWVqqhisTERFUu/ciRI+1+hiSDlZeXt7q5OgnCpIdESDJraWmpo5tERJ1UUVGhznFy0eWOF1pEDglGxo8fr/JA5Mt02bJlyMrKwpQpU9QBaW566xtvvIE1a9bg7bffVlVJJX/i3LlzFj9n6dKlCA0Nbb5JIKMFEydORK9evVBfX6/+TbiYHpE2ekUiIiLg7e3t6OYQuSydUSbJd2JKm/R6/O1vf8N9993X7vayou2gQYNw55134qmnnrLYM9KyLof0jEhAIlNkJQfFlUmPyCuvvKICkhkzZjQntxKR69m2bRu++uorpKam4tZbb3V0c4icjnx/S6dCe9/fnZraKzU0+vfvj1OnTlm1vVw5SCGw9raXKbHS6JY3rQgLC1P1R4SUijet9ElEroczaYjso1PBiIyVyiwRaxO39Ho9Dh065PaJXhKQSRAn/x5cTI/IdXEmDZEDgpFf/epX2Lp1q1prZfv27c0zRGTYRSxcuBBLlixp3v7JJ5/EF198gdOnTyM9PR0//OEPcfbsWSxatAjuTJLdZO2agIAA1TOyZcsWRzeJiGxUW1urhqoFe0aIujEYkcRTCTwkMfV73/ueStrauXNncwlkmVljulIw5Ufcf//9Kk/kxhtvVGNHEsQMHjwY7i4oKEit7ivk36S9WUlE5JxDNDJc7e/v7+jmELlvAquzJcC4IllE78CBAyqX5Cc/+YnKlyEi5ycrckvPr1ShlkKGROSgBFbqvNmzZ6v/UdKLJCc2InINTF4lsh8GIw4ma/WYFtOTvJoTJ044uklEZAUmrxLZD4MRJ9C7d29MmDBB3f/kk09QXV3t6CYRUTs1k4qKitR9BiNEncdgxElMmzZNJQLLqr5r166FC6TyELktmQUnx2hgYKBKRieizmEw4mSL6Xl4eODYsWM4ePCgo5tERFYsjscVuIk6j8GIE5ET29SpU9X9DRs2qOxjInLefBEmrxLZB4MRJ3PNNdcgISFBrc0j0345XEPkfDiThsi+GIw4GRmmkeEaWcdHKt3u2rXL0U0iohZkGQfTmlJMXiWyDwYjTig8PBwzZ85U97/88ksUFhY6uklEdInMopGARAoUSrFCIuo8BiNOavTo0ejbt2/zYnryk4icK1+EyatE9sFgxEnJSe7mm29Wa17IyU8WKCQix2O+CJH9MRhxYsHBwZg7d666/80336iFConIsVh5lcj+GIw4uSFDhiA1NVXNqpHhmvr6ekc3ichtyXHInhEi+2Mw4gLmzJmjeklKSkqwceNGRzeHyG3JgpZyQSBFCqViMhHZB4MRFyB5I6bF9NLS0nDq1ClHN4nIrYdooqOj1TR8IrIPHk0uIiUlBePGjVP316xZg5qaGkc3icjtsPIqUddgMOJCpk+fjoiICFRWVmLdunWObg6RW69JQ0T2w2DEhUhVVqnOKtN+jxw5gkOHDjm6SURulbzKmTREXYPBiIuJj4/Htddeq+6vX78e5eXljm4SkVuoqKhAdXW1uhiQnBEish8GIy5oypQp6NmzJ2pra1X+CBfTI+q+IRqZRSO9lERkPwxGXJCnp6carpHphadPn8aePXsc3SQizWPyKlHXYTDioiIjI1VCq5DaI7J4FxF1HRY7I+o6Xl343tTFZKrviRMnVO+IVGe97777mmsf6I16XKjJxZmqMyiqK4Yeevh6+CLBPx69A5MQ5sPVRonMKWsow5mqszhXfQ41hlp4whOH9UegD9YjOpb5IkT2pjO6QMKBJGmGhoairKwMISEhjm6O0/3bLFu2TOWPXHfddRg0fjC+KtiCLYVbUa1vqkXiqfNUP+V/tQEGdb+XfyJmxE7D+PBx8PX0dejfQOQMGgwN2F2yBxvzNyGr6ox6zgMeTSvzGpsCfOiggvqpUVNwQ/T1iPNnLwmRPb6/GYxogEzx/fDjD3Gxb7m66aBrDjrMkW2MMCLMuwd+3GcRBocM6rb2EjmbExUnsfz0f1BYV9R8bFgiQYpsMzt2Jm5NmA8fD59uayuRK7H2+5s5IxoQ3z8eRTeUorRPmTpBtheICNPJ9mJDGZ47/le8m/M+Z+WQ25F9fvX5T/D0sWdRXFfS9Fw7gYiQY0y2+yzvCzx+6AkU1hV2Q2uJtIvBiIsrrS/Fn48tRZVPtepCtpXpxLs+9zP89+w7DEjIbci+/t65D/Dx+TXqsTVB/FXvAaMKRJ48+ozqVSGijmEw4sJkDPvFE/9Aaf3FDp1Ir7S54Ct8WbDZLm0jcnbfFm1XQXhnybFX2VCJFzJeVHknRGQ7zqZxYRtyP8fZ6myzvy8+VoR9r+xF4cECdQUXNTQao382FuH9I8y+5t3s9zE8dBii/bg8OmlXSX2p6gm0pDy7DPtfTUfBgXzUldchMDYIyTNTMOSHqfDy87oqIMmrzceaC5/iuwm3dnHribSHPSMuqryhHB+dX23298XHi/DZT9ah4nwFhi0agWH3jkRFTjk+f2A9ys6WWext+b/sd7uo1UTO4YOcDy32YlTlV2L9vZ+i8EghBtw+CGN/MV4F8wde24dtj29p8zUS8K+9sJ7DNUQdwJ4RF7W18GsYjOaHZuSKztPXE3Nevwl+oX7quZQ5fbD69g+w799puO65aW2+Tq7w9l3cj5L6EoT7hHdZ+4kcpaKhAjtLdlsc2jy9IRP1FfWYvXwueqQ01eTp/52BKs/k9PpTqqfEN+TqKfEyE2dLwVbcnnhbl/4NRG7dM/LEE0+oOfctbwMHDrT4mvfff19t4+fnh9TUVLW4G3XeVwVbLWb9F+zPR9zYns2BiAiIDEDMyDic+zYHDdXmrwrlhPp14bd2bzORM9hRvMtiIC/qq+rVT79w/1bP+0f6Q+ehg4d326dOCXDUsclEcKKuHaYZMmSIWqPBdPvmm2/Mbrt9+3bceeedqjLovn37MH/+fHU7fPiwrR9LV1SHLK4vtriNvkEPT9+rO768/DxhaDDgYmap2ddKkHOy8pRd2krkbGTfloDbkthRcern9j9/g5ITxWrYJmvjaZz48DgGfm8wvP3NL5RXpa9CAaf6EnXtMI0szmbt2gwvvfQSZs+ejccee0w9fuqpp9Q6Ki+//DJeeeUVWz+aLpEy1e0JSQpF0eECGPQGeHheKhHfoEfRkaaTZHVhtcVgJKsqy44tJnIemZWZ7c4+i5+YgBE/GYVDKw7g3NeXk8RT7xmOkQ+MtuoYjfFj2XiiLusZOXnypFq+PiUlBQsWLEB2tvnZHDt27GhezM1k1qxZ6nlL6urqVNW2lje6TKbytmfAbYNQnl2OHU9/g4unS1GaWYpvn9iGmqKmEvH6ukaLr69srGq3K5vIFZU1WHc+CYoLQszIWExYMhlTn70Bfef1U8HJ8fePWnyd9LqUNpjveSSiTvaMjB8/HitWrMCAAQPUEM2f/vQnTJkyRQ27BAcHt7nKZUxMTKvn5LFp9Utzli5dqt6b2iY1Vtsz4NaBqM6vxJG3DyNzXdOQS8SgSAz5USoOvXkAXgHmu5lNJBjx0HHCFWmLNRVWs744jR1Lv8X897+LwJhA9VzS9b0h8Xn6y2noPTOlVT5WS2o5BgbyRF0XjMyZM6f5/rBhw1RwkpSUhPfee0/lhdjLkiVL8OijjzY/lp6RxMREu72/q/PzbJ1UZ87IB8dg8IJU1TPiE+SDsL7hSP93mvpdSKLlNX5kcT3TAntEWiIL3VXrzQ9TiowPjyF8QERzIGKSeG0iMtedRElGMXqOi2/ztTIE5G/lMUpEdpja26NHD/Tv3x+nTrWd7Ci5Jfn5+a2ek8ft5Zz4+vqqG7Ut0T/B6m1l+mHMiMv/3rl7LiAgOhChvXtYfF2Cf0LTaqVEGtMrIBHHKzIsblNbUgOf4KvPQYbGph4Po97Y7mcQkfU61QdfWVmJzMxMxMU1ZZ5faeLEidi0aVOr5ySBVZ6njuvpHwdvXfvDLFeS2QDFR4sw6PuD1fRESyuS9glK7mQriZxTSlCy2sctCekVqmbRSBXWK4dv5NiRXkZzZJgmMcD6CwYisrFn5Fe/+hXmzZunhmYuXLiAP/7xj/D09FTTd8XChQsRHx+vcj7Eww8/jKlTp+KFF17A3LlzsWrVKqSlpWH58uVd89e4CcnjGBM+GruKzRduyt+XhwOv70PP8fHwDfVD4eECZK49iZ4T4zHojiEW31/ec2z4mC5qPZFjjQ0b0+6aNFLy/fyOc/jsx+sw8PbB8An1xflvctRzfW/pj4CogDZfJ0HOsB6p8PHw6aLWE2mTTcHIuXPnVOBRXFyMqKgoXHPNNdi5c6e6L2RmjYfH5SuOSZMmYeXKlXj88cfxu9/9Dv369cPq1asxdOhQ+/8lbmZ69PXYUbzT7O/lZKnz8FAJrFLgLLhnkJqqOPgHQ+HhZfmqMNo3CoOCLRezI3LlnhEZRsmpPmc2mVVm0cx57SZV/l3yR+rK6hDUMwgjHxytAhVLgfz0mBu6sPVE2qQzukCpQElgDQ0NRVlZGUJCLCdeugv53/bc8b8io+KEXVbsbemBlPsxMXKCXd+TyJnsK92Pv5/8p13fU3pFegcm4X8G/46z0Ihs/P7mEeOiJLl0Uco98PLwsuvJdESP4ZgQMd5u70nkjEaGjcCE8PHt5o7Yekz+OGURAxGiDuBR48IifSOxKPleu7yXnJTDfHrg3uS7OIuG3MLC3gsQ7Rdlt4Dk7t4/Qpy/ddWpiag1BiMubnzEWNyffK/K4G9vvQ3LgUgYlgz6DUK9Q+3eRiJnFOgViN8OfKxTAYnpmPtR0gJcGzXFzi0kch/MGdGI4+UZWH76PyipL7WqwqTpRCrbjgsfi4VJCxDsfXUVXSKtq26sxjvZq/BN0bfNx4Q1PKBDiHcIFqXci9RQJuUTdeb7m8GIhtTp67A2dz025W9GlVSYlLzWKy74TD0okvSaHNgbN/e8CaPCRjqqyURO49DFw1h94ROcqsxUPSWqpPuVnY2XjilfnS+mxV6PeXFzEeDV9jRfIgKDEXfWYGjAtuyvsXr3GtSFNcA7wludWH09fNAroJcKQiSBTzL/iag1mfK7M38XNh/+CnUh9fAN8lVJqRE+EUCeATWnqzGz3wzMuH6Go5tKBK18f9tvKgY5DW8Pb0RXRCHyWDgSEhJw3wz7rRtEpHWqeqqXEUfTD6uT5y9+8Yvm3+1v3I81367BaeNp4HqHNpNIU5jAqlGyqrJobx0gIrpaSUmJ+hke3rrsuxRuFLLyuFzxEZF9MBjRKDlZCnPrBhGReVJluq1gJDAwUPU2ihMnTjikbURaxGBEgyQNyNQzwmCEyHalpaXqZ0RExFW/k5XKBYMRIvthMKJBkihUW1ur1gmKjo52dHOINNMz0jIYycrKQkNDQ7e3jUiLGIxokKlXJCYmRq2qTES29SyayxkREuDL7IDGxkacPn3aAS0k0h4GIxrE5FWijquurkZdXZ3ZYESWS+BQDZF9MRjRIOaLEHWcqVdEej+8vNqufmAKRk6ePKl6UoiocxiMaAyTV4m6Ll/EpHfv3vD29kZFRUXzzDUi6jgGIxpTWVmJqqoq1ZUsOSNEZBtL+SIm0mPSp08fdT8jI6Pb2kakVQxGNMbUKxIVFaWu3IjI/sHIlUM1RNQ5DEY0hsmrRPYJRtqqMdJWNdYLFy6o4Roi6jgGIxrDfBGizuVcWZMzIoKCghAfH6/uc1YNUecwGNEYBiNEHSf5VvX19ep+WFhYu9tzqIbIPhiMaOxEalq8i8M0RF0zrbetYCQzM5PVWIk6gcGIhpimGEr3sq+vr6ObQ6TZ5FUTmbEWEhKiqrGeOXOmi1tHpF0MRjSEQzREnWNtvoiJTKE3JbJyii9RxzEY0WDPCIMRIvuv1mvOgAED1E9WYyXqOAYjGsKeEaLu7RkxVWOV/BLJ18rPz+/C1hFpF4MRjaitrW0e72byKpH9V+s1R4oLmqqxcoovUccwGNHYEI3MAggICHB0c4hcdlqv5IFYM623Ja7iS9Q5DEY0gkM0RN07rbclUxLr+fPn1fpQRGQbBiMaweRVou7PFzEJDg5Gz5491X0WQCOyHYMRjeCaNESd05F8kbZ6RzhUQ2Q7BiMaIOPcRUVF6j57RogcE4yYpvhKNVYpgkZE3RSMPPvssyrZ65FHHjG7zYoVK9Q2LW9+fn6d+Vi6gkwnlJkAsnCXdBcTUfcHI9IrKceflIVnNVaibgpG9uzZg1dffRXDhg1rd1splyzDCKbb2bNnO/qx1AYmrxJ1TsvVem0peGauGiuHaoi6IRiRbPEFCxbgtddes2oKnBykctVgusl6DmQ/zBch6vy0XunR6Mi0XnNTfFmNlaiLg5HFixdj7ty5mD59utXBS1JSEhITE3HLLbfgyJEjFrevq6tT1Qxb3sg8zqQh6hxTr4hM6/X09Ozw+6SkpKhpwWVlZSgoKLBjC4m0zeZgZNWqVUhPT8fSpUutTup64403sGbNGrz99tswGAyYNGkSzp07Z/Y18t5yUjDdJIihtkminOmkx2CEyDH5Ii2rsSYnJ6v7HKoh6qJgJCcnBw8//DDeeecdq5NQJ06ciIULF2LEiBGYOnUqPvroI0RFRal8E3OWLFmirixMN/lcalthYaEK8Pz9/VXgRkTdW2PkSqzGStTFwcjevXvVVfioUaNUV6Tctm7din/84x/qvl6vt+rKYeTIkTh16pTZbXx9fVXSa8sbtZ+8KuPdRNQ9q/W2F4xI76/kohCRnYORadOm4dChQ9i/f3/zbcyYMSqZVe5bM9YqAYu8B4cU7IPJq0TO1TMiF0+m45HVWImsY9MCDDKHfujQoa2eCwwMVFcTpudlSCY+Pr45p+TJJ5/EhAkT0LdvX1y8eBHPP/+8mtq7aNEiWz6azOC0XiLHrNbbXu+IJJbLUI0MURNRN1dgzc7Obv6CNHV/3n///Rg0aBBuvPFGNTNm+/btGDx4sL0/2u1IrogUPBMMRog6Rmb72WNab1tDNVKN1ZrhayJ3Z9vSlG3YsmWLxccvvviiupH9SQl4mU3j4+Njtys6Inderbcz03pbkkXzpCKyBDpSjbVPnz52eV8ireLaNBrJF2HyKlHHdLbyaltYjZXINgxGXBjzRYg6z975IiasxkpkPQYjLozBCJHzBiNSjVWGfSRxX+oBEZF5DEZclFxpsQw8kfMGI5LLxWqsRNZhMOLCJ9D6+npVbC4yMtLRzSFy+Wm99swZMWE1ViLrMBhx8SEaWQHZw4P/G4k6O623R48edn//ltVYq6ur7f7+RFrBbzEXxXwRIvvNpJFAxF7TeluS6cJywSA9MKzGSmQegxEXxXwRIufNF2mrd4TBCJF5DEZckFxlsWeEyLWCEVkclNVYidrGYMQFlZWVoaamRuWKREVFObo5RC6rK5NXTWStLlnDq66uTi2XQURXYzDigky9ItHR0Wo2DRE5frVea6qxZmRkdNnnELkyBiMuXgaeiJxntV5zWI2VyDIGIy6IyatEnVdRUaEWmuyqab1tVWOVVcxNvTFEdBmDERfE5FWizjP1inTVtN6WfH190bt3b3WfBdCIrsZgxAWv5qRQk1zNSf0CInKe1XotYTVWIvMYjLhor4iUgJe1L4ioY7orX+TKYERm1MhsOCK6jMGIi+EQDZFrBiMyHCQz4CSBVWqOENFlDEZcNHmVM2mIXCsYEaYpvhyqIWqNwYiLYc8IkfOv1mvOgAED1E9WYyVqjcGIC5FVP6X6qmDPCFHnp/VKFeOuntZ7ZTXWgIAA1NbWIicnp9s+l8jZMRhxwV4R6Vb28/NzdHOIXFbL1XolIOku8lkcqiG6GoMRF8JiZ0Sumy9iwmCE6Gpc2MRJldfV4UhBPo4WFaKsthY6HZB9KgP1nh64JpqL4xHZIr+yEocL8pFRXISaxgaczcpCiY8X4gMD0GgwwKsbe0f69u2rekgulBRj/eFDOF9fi4q6enWMRwcGYWhUNAZGRsGX605RF6prbFTHgxwX+VWVMBiNCPbxxaDIKAyNjkGYvz+6k87oAgsllJeXIzQ0VOVLhISEQKtkZ/j67Bm8dWAftp7NgvyP8dDp1E3ISVN46nSY238AFg4biVFxPR3caiLnVNvYgE9PZOCt/ekqqDcdO1Iw0GAwqONNIoBgHx98f+gw/GDocCR1cf6IHMObszLx3OcbkNXYoJ5reYzrDQZ13Pt4emL+gEH44bAR6ouByF6OFRXi7YP78dGxo6jTN0L2PM9LwbgcE+q4ADCuZwIWDh+JmX36dipYt/b7m8GIkzhzsRS/2vgZ0nMvqBOmvp3/LaZtZvXph6eun47IgIBuayuRs9uek41fbdyAvMpKeECHpq94y8eTbPHTMePx0LgJKhiwN7kKffTz9erLQE7tTZcW7R/j3x00BI9fex1CfJknRh1XUVeHpd9sxaojh6z6jpEAWQKT/uER+NusGzE4KrpDn8tgxIWsPXFcBSJyVdTeDnIl2akCfXyw/Kb5GBef0GVtJHIFcjr7y/av8erePc0nU1vIVWLf8Ai8Nf82xAYF261d/3f4IP7w1Zfqvq3HuPwd4f7+ePPmWzGEvSTUAceLCnHPmg9RWF1t8zFhCtT/cO31qqekq76/mcDqYKuPH8PDn61Dg15v80lKyGsq6+uxcPUH2H3+XJe0kchVApEntmxSgYiw9aSr3gPA6dIS3Pbe/yGvssIu7frvgX34/eaN6ljtyDEuf0dpTQ3u+PBdNb5PZGsgcscHq1DUgUBEyD4rr3ti62b8Jz0NXYXBiAMdzM9TXcmye3Sme0p2FBmLvveTj+x2AiVyNf97cD/+99CBTr+PnHwLqiqx6NPVzXlaHfVN9ll1ErdHmyThUK5uL9ZyXRuyfiLE3as/RHVDQ4cC4Ss9881WfHXmNLoC07UdRE4sj36xXnULt6Xm5CnkvfxKm7+L+8XP4Nc76aqARN7zt19+gTdvuVUl6RG5i+yyi2o8vD11Oedw8bMvUHs6C8aGRnhFhCN40gSETp3Sajs5cR8tLMDyvXvw07HjO9Qm6bF8bOMGs8NFhe+sQuVu81eaiX/6H3j1CG3VptLaWjy59Ss1hk/Unme+3oKiGut7RC5+8SVK130G79gYJCx57Krf66DDrzd+jk0L77F7DhODEQd559ABZJWWttsjEnLtNfDtldjqOe/IyDa3lZPVtuwz+OpMFm5ITrFja4mcmwQi7fViVB/PQP7yN+CbEI8eM2dA5+uDxqJi6C82VTVuy993bcftQ4YiKiDQ5jZJIGNpjF6CIP/+TTVHTGTL4vc+gFd4eKtAxETea3XGMTXLhjPpyBIpDfHe0cOwVuPFi7i4cRN0FlaDN0IC4hr8e88u/PaaqbAnBiMOICeUFQfSrdrWr08yAkcMtynZ6K0D6QxGyG3kVlRg4+lMi1d/htpaFL29CgFDBiH6noXQWTlVUd7zvSOHsdjG3pF6vR5vH9pvsU1+yb0BubVQm5kFY30DgkaPsniMy5AUgxGyRPYRa2bNmJSsXgvfpCTAaIC+ssrsdrJPrzx8EI9MmAQ/L284Rc7Is88+q4YDHnnkEYvbvf/++xg4cKAqYZ6amor169fDnaVdOI9z5eVW54nIidRo5aJasuPJOLWcoIncwUfHj7a7TWVaOvQVFQibO0cFIoa6OhityAdRJ94O5KHIuPrF2lqbX1e5N13VPgkcPdLiMb7uZIaaqknUlpqGBtWDZm0gUnMqE1UHDiLi1lusHoL8IvMUnKJnZM+ePXj11VcxbNgwi9tt374dd955J5YuXYqbbroJK1euxPz585Geno6hQ4fCHe3NPW/1tMPCle/BKCcdDw/4pSQj/Jabrhq2uZK86/78XMQF229qIpGz2nvhvJpJY0nNiZPQ+flBX1aGc6+vQENBoeqODho7GuHfuRke3uav8HIrK1BYVYWoQOuHaqRekBSKsiUBVi44qvYfgG/vJHhHWC5TL+97pLAAExIsnwvIPR0rKlS9c9aQoLzkw9UInjAOPj2tW2pE9u19ebm4ecAgOLRnpLKyEgsWLMBrr72GsLAwi9u+9NJLmD17Nh577DEMGjQITz31FEaNGoWXX34Z7uqQFdPzdF5eCBieqiLV6EX3IOzG2ajPzUXuP/6FunPn291ROAWQ3MWB/Nx2exkbC4sAgx75/3kT/gMHIPreu9TJt+LbHSha+a5djtlWbcrLs3kmTs2xDBiqqhE0xvwQjYlczBwqaFqriuhKcv63dgqDHAONpaUImzvbylc0BcMSjNhTh4KRxYsXY+7cuZg+fXq72+7YseOq7WbNmqWeN6eurk4VSml505IL5eXt9orIeHLMpRNmYOoQ9JhxA3r+4ucqn7n0U8vDXHKVKGtxEGmdFAqUGSbtMdTVN+VijB2DiNvmI1AC/dvmqyTSqvT9qqfEEpnqa4sLlbafsyr37gM8PRE4crhVwUi+hXF9cm95lZVWlXDXV1WhdP3n6DFzOjyDgmz8jArHBiOrVq1SQywy7GLtSrMxMa2rBspj0wq0bZH3loptpltiora6Ijs639s7KhIBqUPUtF9L493y7vaYU07k7KydsqjzbhqRDhw1otXzptyM2jNnLb7e1uPJYLBx+7o6VB8+DP+B/eFp5XCQwdi5GiikXQYr9w2ZxusREKBmbdr+GUbHBSM5OTl4+OGH8c4776hk1K6yZMkSVTrWdJPP1ZIQX98Ov9ZLFvLS62Gsr7d41RRkYXoWkVbI1Z8168h4hjZNk/W8Io/K9NhQbbmQWKC3bcdTkI3HePXBw009N1YM0TS3icc4mRHs69tusCC9gRXbdyJk6jVoLCtHQ3GJukn9HRgM6r6+qtpux4RdE1j37t2LgoIClfNhotfrsW3bNpUDIsMrnlecGGJjY5Gf33q8VR7L8+b4+vqqm1YNiYrGngvnO1TdsaG4WF3lWZoLLl3Xsgw0kdbJbL7+EZHt5kj5JiagNuOESmBFzOUFv9RjCUqCLPdGDIqy7XhKjY5BZkkJ9FZeocosGp2vLwKGDrFqezl38BgncwZGRLXbm9co+77RqJJX5Xalc08+g5CpU9qcYSNThlOvGPHo1mBk2rRpOHToUKvn7rnnHjVt9ze/+c1VgYiYOHEiNm3a1Gr678aNG9Xz7kqWBG8vENFXVl41hld3/gKqDx9FwKCBFuskyC7IZcfJXYyIicXxwkI0WvjilzyMsi83o2Ln7laFxip27G6aqdavj9nX+np6ok+Y5dktbQUjHx07YtW2cqzXZJxE0OiR8LCht4PHOHVm3/CJi0P0fXdf9Xzpug1q2DDi1vnwjoww+x0j+7jDgpHg4OCrpuMGBgYiIiKi+fmFCxciPj6+OadEhnWmTp2KF154QSW9Ss5JWloali9fDnd1Xe9k1bVsaepVwYr/hc7bWyWyegQFoSEvHxU7dsLDxxth8yyXgo4LCla9L0TuYE7f/ni7nVogUnU1aPw4VO7ajQKDAX59UlArtRX2H0To9BvgdWkYp60rwFl9+1mVDNjSjJS+eHLbV+1OORaSQCvd4oEWCp21JLMkBkRGIjGk7TYTxQQFYVhMrOoxNDdcI72BgcOuLq9RvnWb+tnW70xkv57Vp3X1YKdbKC87Oxu5uZen/EyaNEnVFpHgY/jw4fjggw+wevVqt60xIqSm//wBg9SJzpyA1KEwVFWh7KttKH7/I1TtO4CAYano+ctH4BNrPiKVtQMWDh8BTxtPnkSuSmptJIX2aHcqY+Qdt6HH7JmoO5uN4o8/Qd25C6rGSLiF4F66un80rHXSqzWkxs+05BSLx3jLWTRyweE/wLqTu3y13DV8FNefIovuHj7S7kmmQvbpKb16o1doD7u+r85oTejuYDK1V2bVSDJrSEgItECWKZ/9zludXhW0JTk19fDzw+aF9yG0CxOMiZzNJxnH8Mjn6+1+0h3bMwHv3Hp7h774ZVXu77z7TqdW5G4rOV16Pjf+6G67luIm7alrbFTfMTnlZXYNSuRIeO/272N0XLxdv795+ewgKWHheGyS7dOpLJHd7dlpsxiIkNuZ13+g1T0R1vL29MRfZszqcA+EdJP/ZPQ4q4tPWUO+VF6YOYeBCLXL18sLf5s5x6qhQmtJz/s9I0ZbHYjYgsGIA907YjSuS0pWVzv2sHDYCMzo09cu70XkSiRgWDptFmKDgu0SkMg7PDd9FhI6mZfx8PiJGBnX025BkrzfuPgEu7wXad/IuJ54bNIUu7yXmkETHY1fTpyMrsBgxIEkr+Pfc+fhmsSkTl893Tl0GP4w9QY7tYzI9UQGBGDVbXeoYYyOfvnLhYG88tnps1Rviz2uTt+8+VbVS9LRY9z0ugfHjMPPx7nvLETqmJ+MHquCWNHRfVCOi8FR0Xhr/nfhb2Edp85gzogTaNDrsSxtN/6xe4faWayt9ignXJmV8/i11+P7Q1KZ0EYkUxNravDHLZuw9mSG1QtSCtk2NigIL8yYg/F2XoBOxu9f3PktXktPU59jyzEe4O2Np66fbtdFycj9rD95Ar/fvBGV9XVW73+yr0qIcPeIUfjVxGs6FIhY+/3NYMSJHCsswEu7duDLrEz1uK3AxFPnoUr9ylRDOTk9MmES4oO1+29C1FFfnj6Fl/fsUomk8qUuFdqNV6STmlbWDfX1xY+GjcQDY8apL/+usi/3gjrGv84+03zxcGWwJG2SwoXSq3LboCGqN8SWFYOJzCmursY/d+/A+0cPo6axUQ2NXDmFwqPFfnlNYi/8bPxElcjdUQxGXFhuRQXWncxQq3IeyM9DWW0dPHRAuH8ARsTGqdvcfv3Rw8/f0U0lcnpHCvJVgH8wLw+7sjLRCB0CA/xVPsjI2Dh1op2e0kd9+XeX7LKL2HDqBA7l56tjvLK+Xn0JRAcGNh/jN/btr8p6E9mb7G+fnTqBlV9txtm6Wuj9/aDz8ESQjzeGRsdiWEwMZvftj+QeYZ3+LAYjREQtVFVV4a9//au6/4c//IHDmuTWjEYjnn32WdTX12Px4sWIjIzsks/h1F4iohZk7Szh4+PDQITcXkVFhQpEPDw8EBbW+R6QzmIwQkRuFYxoeRFOImsVFRWpnxKItLWuXHdjMEJEboHBCNHVwUhXDc/YisEIEbmF2tpa9dOPFYqJYApGZKFbZ8BghIjcAntGiC4rLi5WP9kzQkTUjRiMEF3GYRoiIgfPpiFy92OhvLxc3WcwQkTUjdgzQtR6iCYwMBD+/s5RPJPBCBG5BQYjRM45RCMYjBCRWwUjnE1D7q74Us+Is8ykEQxGiMgtsGeEqAl7RoiIHITBCFETBiNERA7CYIQIMBgMTldjRDAYISK3wGCECGr1XL1er9ajkdV0nQWDESJyCwxGiNCqDLys2OssnKclRERdiMEIEZwyX0QwGCEizWtsbFRd04LBCLmzIgYjRESO7RURLAdP7qyIwQgRkePXpXGmcXKi7lbshDNpBI9KItI85osQATU1NaiqqnK66quCwQgRaR6DESI0D9GEhIQ43XAlgxEi0jwGI0Rw2nwRwWCEiDSPwQgRWtUYcTYMRohI8xiMEMFpk1dtDkaWLVuGYcOGqfEmuU2cOBEbNmwwu/2KFSug0+la3bh8NxF1NwYjRHDqYRovWzZOSEjAs88+i379+sFoNOKtt97CLbfcgn379mHIkCFtvkaCloyMjObHEpAQEXWn2tpa9ZPBCLkrvV6PkpISbQQj8+bNa/X46aefVr0lO3fuNBuMSPARGxvbuVYSEXUCe0bI3ZWUlKhOBJlFExwcDM3kjEiUtWrVKjVnWYZrzKmsrERSUhISExNVL8qRI0esOnGUl5e3uhERdVR9fb36yWCE3FVxi3wRZxyhsDkYOXToEIKCgtRB/cADD+Djjz/G4MGD29x2wIABeOONN7BmzRq8/fbbMBgMmDRpEs6dO2fxM5YuXaqWNjbdJJAhIuoo9oyQuyty4pk0HQpGJMDYv38/du3ahQcffBB33XUXjh492ua20mOycOFCjBgxAlOnTsVHH32EqKgovPrqqxY/Y8mSJSgrK2u+5eTk2NpMIqJmDEbI3RU5cfKqzTkjQsab+vbtq+6PHj0ae/bswUsvvdRugCG8vb0xcuRInDp1yuJ2csLgSYOI7IUJrOTuipw8GOl0nREZemm5ImZ7eSYyzBMXF9fZjyUishp7RsidGY1GbfWMyPDJnDlz0KtXL1RUVGDlypXYsmULPv/8c/V7GZKJj49XOR/iySefxIQJE1RPysWLF/H888/j7NmzWLRoUdf8NUREFoIR1jkid1RVVaWOAUlcDQ8Ph8sHIwUFBSrgyM3NVYmlUgBNApEZM2ao32dnZ7danru0tBT3338/8vLyEBYWpoZ1tm/fbjbhlYioK7BnhNxZ0aVekR49esDLy+bsjG5hU6tef/11i7+XXpKWXnzxRXUjInKUxsZGNUQsGIyQOypy8iEawbVpiMgtaowIZ1s2nag7FDEYISJyjpk0Mpuv5TAykbsoduIF8kx4ZBKRpjFfhNxdEXtGiIgcizNpyJ01NDSo2azOXH1VMBghIk1jzwi5s+JLQzT+/v4ICAiAs2IwQkSaxmCE3FlRiyEaZ1wgz4TBCBFpGoMRcmdFTr5AngmDESLSNAYj5M6KXWAmjWAwQkRuEYywxgi5oyIXmEkjGIwQkaZxNg25K6MLLJBnwmCEiDSNwzTkrsrKytRyCFLsT9aHc2YMRohI0xiMkLvni0RERDh99WHnbh0RUScxGCF3VeQiM2kEgxEi0jQGI+SuilwkX0QwGCEiTWMwQu6qiMEIEZFzYDBC7qqIwQgRkXNgMELuqLa2FpWVleo+c0aIiBxIr9erqY2CwQi540yaoKAgl6ixw2CEiDTfKyIYjJA7KXKhIRrBYISINB+MeHt7O32dBSJ7YjBCROQkmC9C7qrYRRbIM2EwQkSaxWCE3FWRCxU8E16ObgARkT3V1Nbj5JlCnDidj8zTOTiV542L9cC+IznonxyNwAAGJqQttXUNOHWmEBmn81F6sQoGoxF7j5UhyM8DfgHBcAU6oyzr5+TKy8sRGhqqFv0JCQlxdHOIyMnIaezg8fP4aMM+bNlxAnqDETod4KHTwWAwyKkOcqKT5yaN7oPb5ozE2OFJ0MkTRC7qyIlctc9v+vY4GvUGtX97eniofV1mksl+L3v4uJG98d05ozB+ZDI8PHRO+f3NYISIXFpxaRX+8soX+DYtE54eOhWIWGLaZsSQBPz+oTmIiw7ttrYS2cPF8mq88NomfLU9w6Z9fkj/ODz+sxuR2LP7VvBlMEJEmrf3UDZ+95fVqK1taPeE3NYJ2tPLE398ZC6mju/XZW0ksqdDx8/jN0s/RmV1HQwd2OelZ2TJQ3Mwc8ogONP3NxNYicgl7TlwFr986gNU19geiAh5TUNDIx5/fg02b8/okjYS2dPB4+fx8BPvobLK9kCkeZ9vNODJv6/Dhq8Ow5kwGCEil5NbUIbfPvuxOrl2pnNXvdQI/OnFtSoBkMhZFZVW4rGnP0Rjo0ElqHbWM//6DIdPXICz4GwaInIpEnw88/JnaGzUtxmIVJTkoCA7DWWFmairLoGXTyCCw3shafBs+AdHXf1+l34+9Y91eP0vP4KXl2c3/BVE1jMajfjLsi9QU9vQZiBSXZ6H7GMbUVl6Dg11FfDw9EZAcAzi+1+H8LjBbb6nJG//+aX1eOvFu+Hr4/hQgD0jRORStu48qabpmhuaOX/iKxSfP4Qe0X2RPOwWxCaPR3nRaezf/HdUleW1+Rp5r8yzRVi76VAXt57Idrv3n8H2vafNDs3UVpdC31CL6KTRap9PHDhdPX9sx5vIy9rZ5mvkvc7nX8SHG/bBGTg+HCIissEH69NVEp65E3PPftei/7gfwMPj8uktMmE49n35N5w/sRn9x/6gzdfJtMj316XjlpnDOeWXnMoHG/ZZnDUTHjtI3VqK6zMZBzb/HRdObkNs8oQ2XyedLB+sS8f3543p9im/neoZWbZsGYYNG6YyYuU2ceJEbNiwweJr3n//fQwcOFCtGpiamor169d3ts1E5KbO513E/qPnLCbvhUT0bhWICP+gKASExKC6osDs6+TEfPZ8CY6ebLv3hMhRU9d37D1tc5K2TucBH/8eaGyosbhdQXEF0g9nw9FsCkYSEhLw7LPPYu/evUhLS8MNN9yAW265BUeOHGlz++3bt+POO+/Efffdh3379mH+/Pnqdviwc2XxEpFrONLBhDsZc2+orYS3T6DF7aRHpKOfQdQVjp7MtXpbfWM9GuqqUFNZhPMnt6E0PwOh0ZanrUuPizMksto0TDNv3rxWj59++mnVW7Jz504MGTLkqu1feuklzJ49G4899ph6/NRTT2Hjxo14+eWX8corr3S27UTkZjIy8+Hl6aGqTdqiMCcd9bVl6DV4psXtpKf6eCZ7Rsh5ZGTmwdPTA3or9vmsQ58ivzlHRIeI+FT0GT7f4mukw+X4qTzXzRmRUrMyBFNVVaWGa9qyY8cOPProo62emzVrFlavXt3u4lamBa5MRVOIiApLKm3urpahmdP7VyM4PAnRSWMsbivvXVBU0clWEtl3n0fznC/Levadgsj4VNTXlKPo/EEYjQYYDFIW3nKvYb4T7PM2z6Y5dOgQgoKC1CqYDzzwAD7++GMMHtz21KG8vDzExMS0ek4ey/OWLF26VFVsM90SExNtbSYRaVDTOjPWByP1teU4tv11eHr7YcD4H6lx9PZYcwVK1F0MEnxbucsHBEejR3R/FXQPnnQvDI11akZNe7V4nGGftzkYGTBgAPbv349du3bhwQcfxF133YWjR4/atVFLlixRpWNNt5ycHLu+PxG5Jllx18PDutOWJO4d/fZ1NDbUYsjkRfD1b38NGplEExjIVX3JeQQG+HR4dldE/DBUluagptJyQb9gJ9jnbR6m8fHxQd++fdX90aNHY8+ePSo35NVXX71q29jYWOTn57d6Th7L85ZIr4vciIha6pMUdal3xDKDvgHHtr+pTsJDrvmxmkljDQl0+vWOtkNLieyjb1K0zTlSLY8DITVIzJEcrP4p1h0fTl30TE4MLfM7WpJckk2bNrV6ThJYzeWYEBFZMqBPTFMJdwtknDxj99uoKDmrhmZkqq+1pLt6YB/Hn5iJWu7z7amvlbyS1iRXpCB7b1M1VgvBuAQ6A5wgGPGydfhkzpw56NWrFyoqKrBy5Ups2bIFn3/+ufr9woULER8fr3I+xMMPP4ypU6fihRdewNy5c7Fq1So1JXj58uVd89cQkaYN6d8TYaEBKC2rNrtN1sFPUZJ7FGGxg9FYX61OyC1F9xpt9rV+vl4YO9z64IWoO3oDY6NCkFdofiJH5r4PoG+sQ0hkMnz8QlVJ+MKcfaipKEDv1Jvg6WV+pMHLywMTR6fApYKRgoICFXDk5uaqxFIpgCaByIwZM9Tvs7OzW43nTpo0SQUsjz/+OH73u9+hX79+aibN0KFD7f+XEJHmSZfyrbNH4M33dphdLKyqrKlmQmneUXW7krlgROotzL0hFQH+PnZuNVHHeXjo8N0bR+Ff/91itlcwMmEE8s/uRt7pHSoAl+AjMCwBSUNuRETPq8tutNznZ0wZhNBgfziaztiZJS+7iUztleBHklml8isRua+L5dX4/kOvo6q6rt0hG1v4eHvi7ZfuQc+YHvZ7UyI7qKyqw50/ex0Xy2s6tUr1laR+yVt/uwu9EyLg6O9vLpRHRC6lR0gAHvvJDLsGImLxwqkMRMgpBQX6YsniWXYNRMSi70/u0kDEFgxGiMjl3DBpAOZNH2aX95Jpk9eO64vvzB5pl/cj6gqTRvfBHfPM5zvZOvQzdngS7rxlLJwFgxEicjkSQPzqx9Nx4/Xmx8OtNWl0Cp549CaHr1pK1J7FC69TOVOdISVLRg1JxNLfzFc5WM6COSNE5NLVKVd/sR8vv7UV+ka91aXiJXFPzsrSTS1Xh850UiayRL6y120+jL+/vhn19Q1qbRlr93nZ9K7bJmDhbRPg7e0JZ/r+ZjBCRC7vfN5FvPHudmz69jj0BgM8dLqrAhPp+ZCznVwZThnXF/fdMRkpvSId1maizsgrLMOv//QGsvIaYTTq4Ompg15/9T4vEYgRRkwe0wf3fm9Stxc4YzBCRG4502bz9gwcO5mHHXszUFXdAG9vb4T1CMLgfnEY1DdW5ZtEhgc5uqlEnZKVlYX//ve/gM4bQ0bPxIkzRTh64oKqwSNxuJR4l/19YN9YXD9xgKpV4szf3x1etZeIyBln2twqiaizgbfeKsCZM2dw2223sbYRac6ePXvUzzGjh2PuXMurUbsCDpQSkSbV1jatx+Hn5+fophDZVVlZGY4fP67ujx3rPDNiOoPBCBFpkmnNLC66SVqTlpamEll79+6N6GhtLOzIYISINInBCGlRY2Mj0tPT1f1x48ZBKxiMEJEmMRghLTp8+DCqq6tVMuiAAQOgFQxGiEiTV496vV7dZzBCWmE0GrF79251f8yYMa0WpnV12vlLiIiu6BURDEZIK86fP4/c3Fx4enpi1KhR0BIGI0Sk2WDEx8dHlY4n0oLdl3pFZKp6YGAgtITBCBFpDvNFSGsqKytx5MgRzSWumjAYISLNYY0R0pr09HQYDAYkJCSgZ8+e0BoGI0SkOewZIS3R6/WqtoiWipxdicEIEWkOgxHSkuPHj6OiokLliQwZMgRaxGCEiDSHwQhpMXF19OjRaiaNFjEYISLNYTBCWpGXl4fs7GxVU0Rqi2gVgxEi0hwGI6S11XkHDRqE4OBgaBWDESLS7GwaBiPkympqanDw4EFNJ66aMBghIs2pr69XPxmMkCvbt2+fWtogJiYGvXr1gpYxGCEizWHPCLk6g8HQPEQjRc60XkmYwQgRaTZnhEXPyFWdOnUKFy9eVPtwamoqtI7BCBFpDhNYSSvTeUeOHAlvb29oHYMRItIcBiPkyoqKipCZmekWiasmDEaISHMYjJAr23MpV6R///4ICwuDO2AwQkSaYjQaGYyQy6qrq8OBAwc0uzqvOQxGiEhTZCqkzEQQTGAlV3Pw4EEVkERERCAlJQXugsEIEWmKqVdEuEPiH2mrV2/3pcRVyRXR+nTeDgcjS5cuVf9AUpI2Ojoa8+fPR0ZGhsXXrFixQv2DtrzxaoWIukrLIRp3OpmT68vKylLJqz4+PhgxYgTciU3ByNatW7F48WLs3LkTGzduRENDA2bOnImqqiqLrwsJCUFubm7z7ezZs51tNxGRxYJnvOghV01cHT58uNvlO3nZsvFnn312Va+H9JDs3bsX1157rdnXydVJbGxsx1tJRGQlJq+SK7p48WLzSIO7TOe1W85IWVmZ+hkeHm5xu8rKSiQlJSExMRG33HILjhw50u7JpLy8vNWNiMgaDEbIFaWlpamckeTkZERFRcHddDgYkWz1Rx55BJMnT8bQoUPNbjdgwAC88cYbWLNmDd5++231ukmTJuHcuXMWc1NCQ0ObbxLEEBFZg8EIuZqGhgakp6e73XReuwQjkjty+PBhrFq1yuJ2EydOxMKFC1UyztSpU/HRRx+pqO/VV181+5olS5aoXhfTLScnp6PNJCI3w2CEXM2RI0dQU1OjLr6l0Jk7silnxOShhx7C2rVrsW3bNiQkJNj0WplqJ7X2ZREgc+QkwhMJEXUEV+wlV53OO2bMGHh4uGfFDQ9b/9EkEPn444+xefNmNbZlK71ej0OHDiEuLs7m1xIRtYc9I+RKJGUhNzcXXl5eGDVqFNyVl61DMytXrlT5H1JrJC8vTz0vXUv+/v7qvgzJxMfHq7wP8eSTT2LChAno27evyhZ+/vnn1dTeRYsWdcXfQ0RujsEIuRJTr8jQoUMREBAAd2VTMLJs2TL187rrrmv1/Jtvvom7775b3c/Ozm7VzVRaWor7779fBS6y4M/o0aOxfft2DB482D5/ARFRG8EI64yQs6uoqMDRo0fdOnG1Q8GIDNO0Z8uWLa0ev/jii+pGRNQd2DNCrkJm0MgM08TERLdPXXDPTBki0iwGI+QKJH9Saou4a5GzKzEYISJNYTBCruDYsWOqIGhQUBDTFhiMEJHWMBghV0pclTxKT09PuDsGI0SkKQxGyNnJVF4p5imTPSQYIQYjRKQhkmTP2TTkKqvzyvCMlMkgBiNEpLE1Pkyz/tgzQs6ourpaFf4UTFy9jMEIEWmGqVdEp9OpipZEzmbfvn1obGxEbGwsF4FtgcEIEWluXRoZopGAhMiZSE0R03ReKXLGffQyBiNEpBlMXiVndvLkSbUsiiyfIuXf6TIGI0SkGQxGyBWm88rK9bKCPV3GYISINIPBCDmroqIinD59Wg3NMHH1agxGiEgzGIyQs/eK9O/fHz169HB0c5wOgxEi0mQCK5EzBckHDhxQ9919dV5zGIwQkeZ6Rnx8fBzdFKJmEojU19cjMjISycnJjm6OU2IwQkSawWEacjZShM80RCO5IpzO2zYGI0SkGSwFT85GklaLi4tVb93w4cMd3RynxWCEiDSDPSPkrOvQSCDC/dI8BiNEpBkMRsiZSIGzjIwMdZ+Jq5YxGCEizWAwQs7YK5KSkqKSV8k8BiNEpBkMRsiZVpBOT09X99kr0j4GI0SkGQxGyFkcPnxY1b2RAmf9+vVzdHOcHoMRItIMFj0jZ5vOO2bMGHh48Ku2PV7tbkFE5KT0jXpkHz+Pk3tPIzcrHye/yoGHtwcODDqK1MmDEBkf4egmkkaDjbysApxIy0ROxgXU19bD29cbCf17ot/oFDR61yEvLw9eXl4YNWqUo5vrEhiMEJHLyTtTgLWvfIF1y79E5cUq9ZynlycMBj2MAJ7Z/JJ6Ljm1F+b/7Ebc8INr4BfAoRvqnPKSCnz+xldY/a/PUHC2sHm/kzpmRmNTcCwCwv0RNTIEMxZeC39/fwe32jXojBLiObny8nKEhoairKwMISEhjm4OETlIY0Mj/u+Zj/H2nz9Qjw16g8XtdR46GA1GhMeF4bE3F2PMTBadItvJ1+SX/7sN//zZf1BbVaf2qXbpAB8/Hyz++z2Ys2ia21ZeLbfy+5vBCBG5hOLcUvz+xqeRefAsVPeHDTw8dDAYjLj1kbn4yV8XcgyfrCZDMM8seAnffrxbBRi27nti7OwR+J/3fwn/QPfLZSq38vubRyQROb2SvFI8cs3jyDqc06EvAwlExEd/X4e/P7BcXekStae+rgGP37QU29c01QvpyL4n9m48iN/O+jNqq5tme9HVGIwQkVPT6/X44/y/oCC7qN1hGWts+M8mfPjiWru0jbRt2SNvYv+WI9YNy1gg++3xXSfx4o9fsVvbtIYJrETk1D76+3oc333K7O8bjY04iwyUowRlKEEjGjAYY9BT19vsa17/3UpMuGm0mv1A1Jb0Lw9i7asbzf7eYNQjE0eQi2w0oh5BCEUfDEWELqbt7fUGbF75DaZ+bxIm3Ty2C1vumtgzQkROq7y4Am8+vtLiNg2oQxaOoQoVCEYPq97XYDBg2S/fslMrSWtkGO+ln76mco3MOYI0ZOMk4tAL/TECOuiwH9/gorHIYkL1Pxf/R/X2UWsMRojIaX3+5ldobLB84vaFH6bgJlyjuxH9kGrV+xoaDdi9Pl1NESa60r7Nh3HhVF5zrtGVyowlyEcO+mIo+umGIUGXglGYCj8E4CQOmn1fGe4pOl+CXeuaysRTB4ORpUuXYuzYsQgODkZ0dDTmz5/fvCKhJe+//z4GDhyoqiKmpqZi/fr1tnwsEbkp6SZvb7zeQ+cJX53tsxRkRo0EO0RX2vD6Jnh6mf96LMA51RMSj5Tm5zx1nuiJZDVUWGusNvtaD08PrHvtS7u32a2Cka1bt2Lx4sXYuXMnNm7cqBYCmjlzJqqqmooOtWX79u248847cd9992Hfvn0qgJGb1O0nIrJUYOpCZl6Xvb8M1RzZfrzL3p9c16FtR6FvNJ8sXYGLCEAQvHTerZ4PRVjz782R3JGj32ZwRldnElg/++yzVo9XrFihekj27t2La6+9ts3XvPTSS5g9ezYee+wx9fipp55SgczLL7+MV15hZjERte1UelbXfoARyNidqb4U3LUgFbWdp1R8odTiNnWohQ+u7o3zgX/z7y2RqsEyOywmKaqTrdWOTuWMSBETER4ebnabHTt2YPr06a2emzVrlnre0sqbUiil5Y2I3IuMrXe16ooaNNQ1dPnnkLb2OwP08IDnVc97XPpKld+3p/hC1+/fbhGMSBfnI488gsmTJ2Po0KFmt5PFgmJiWk91ksfyvKXcFKnYZrolJiZ2tJlE5KLsUVPEGvpu+hzSzn4ngUhbAYcBTa9tK1DpyOe4kw4HI5I7Inkfq1atsm+LACxZskT1uphuOTk5dv8MInJuASFdv8CYJBP6+LUe9yf3Zs1+JzO46tsYiqlHTfPv2+MfzAX0Ol307KGHHsLatWuxbds2JCQkWNw2NjYW+fn5rZ6Tx/K8Ob6+vupGRO4rZbj5omX20mtgPDw927+KJfcRmxwN3wBf1Fko3S71bEpRiEZjQ6skVplJY/q9JTJTJ3FgvB1b7WY9I5LoJYHIxx9/jM2bNyM5Obnd10ycOBGbNm1q9ZwksMrzRETm9OwTA7+grltYTJZ+Hzi+X5e9P7kmmfLdd2TvpkXxzIhGPIww4jxOt6rIegFnEYJw+OkCLH5Gr8EJ8PFlj1yHe0ZkaGblypVYs2aNqjViyvuQvA5//6Yup4ULFyI+Pl7lfYiHH34YU6dOxQsvvIC5c+eqYZ20tDQsX77clo8mIjf8Upj63Qn48u1tFqdZihzjKTSgobmbvBC5qDU23e+FvldNwRT6Rj2uvZ0XRXS16743GUe3n1ABR1tCdRGINibgFA6j3lgHfwQhF2dRiyoMxmiL7y1VWG/4/jVd1HI36RlZtmyZyuG47rrrEBcX13x79913m7fJzs5Gbm5u8+NJkyapAEaCj+HDh+ODDz7A6tWrLSa9EhGJeT+d3W4gIs7iBE7jCM5dulItVNesR9RNQpS2RCdFYfSMYXZvM7m+GQuvhZev5Wv1IRiLXuin1qY5gf0wwoARmIwwXVS7Qfase2+wc4tdn87oApVXZGqv9L5IIBQSEuLo5hBRN1oy+8/Yt/mQVUGJLR57czFm3nWdXd+TtOON36/EqmdX27U4mfSKzH9oDn7693vgLsqt/P7m2jRE5NQe/c+D8Lbj+LokD46ZNQIzFk6123uS9vzwD7cjvl+smnFlDx6eOkQnRuKep++0y/tpDYMRInJqUQkR+PVbP7NLlVQJRMJieuBXb/yUVVfJIkkw/Z/3fglff59OByTSI+Ll7YXH3/0F/AO7LinblTEYISKnN+XW8fjNf3+mTuod/WKQ14XHheFvW59ERFzTGiJElqQMS8JzG/8A3wAfiwvnWSKvk8DmmQ2/x8BxnL1lDoMRInIJ0xZMUYFEVGKECkqsZdp28vxx+Hfac4hLaV0RmsiSQeP74ZX05zHAFEjY2KHWZ3hv/CvtOQyfOqRL2qcVTGAlIpdSW12H9/6yBmv+9Zla1MzT2xP6htaluWUIRsboJem136hk3Pm721TvClFnlkDZ8J9NePf5NcjNzFd1amR6+JVM+6PM1rr90XmY99OZbl1Yr9zK728GI0TkkhrqG7DjkzQc+voYju86idysAvXlINUz+wxLQv8xfTBh3hgMGNPH0U0lDZGvzH2bDyN94wFk7MnE2WPn1GKLkhPSa1A8Bo7tixHTUtW0cZnG6+7KGYwQERGRI3FqLxEREbkEBiNERETkeqv2djfTSJJ09xAREZFrMH1vt5cR4hLBSEVFhfqZmJjo6KYQERFRB77HJXfEpRNYZUrVhQsX1ErBrJpIRETkGiTEkECkZ8+eFmcXuUQwQkRERNrFBFYiIiJyKAYjRERE5FAMRoiIiMihGIwQERGRQzEYISIiIodiMEJEREQOxWCEiIiI4Ej/D8JpZjABM0xNAAAAAElFTkSuQmCC", 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", 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", 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", 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", 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", 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" ] @@ -345,7 +345,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 41, "metadata": {}, "outputs": [], "source": [ @@ -363,7 +363,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 42, "metadata": {}, "outputs": [ { @@ -386,12 +386,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 47, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -408,12 +408,12 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { - "image/png": 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VjfOoKRiMEBGRU7b4ms1mvYdDHoLBCBEROUy7du3E399fiouLJTs7W+/hkIdgMEJERA7j6+srqamp6j6XashWDEaIiMih2MWX7MVghIiIHErrU4NlmqKiIr2HQx6AwQgRETlUSEiItG3bVt3n7AjZgsEIERE5HBvnkT0YjBARkdOCERQ/q6ys1Hs45Ob8xGDKqyvlbFGOnCzMkvzyIqkRs4T4BUqn0DjpHBYv4f7Beg+RyBAKKkrkZGGmnCnKluLKMvE1+Uh0QKh0CW8rHUJjxd/HcKcnrxITEyNhYWFyrfiGrDuxU0rCfKSgskRMIhLRoqV0Do9X591gvwC9h0puwDBH+8kbmbL00k5Zl31QKmuq1QGBk5+ISWrMNSoogQFR7eX+5GEyonVn8fPx1XvYRF6lqqZavs07IZ9f2iH7rp1Xj/mISXzUsWiWavOtIxGByJT4vjI7abB0CovXe9hkJxQ723MtXfZ3rpJTpgr5KmudmLJM4mvCmVek2mwW/Iff/diY7jIneYj0jUxRFVzJmExmDyiRV1hYKOHh4XLjxg0VadujqLJU/nBitazJOqCCD5zsrMHBgdNhx9A4eb3XHEkNjW3m6IkIThdmy68Ofy7pxbm1x5k12vE6o+0AeanrFDWDSe4vp7RAXj/yhey9lm7X73lYdCf5eY/7pHWgfed48o7Pb68ORjAb8vK+D6Sg4majB8Ttbs2aiPxntxkyM3Gg3WMmoh9gVvL3x1cJLnxxVWwPfKBFBYTIWwMeUxcJ5L4w6/Xzg4ul0lzd6IVfQ+fcAJ8W8v/6PiSDo2/1tyHPZ+vnt9cmsCIQeXr335oUiAAOJNz+77HlsuTiDqeMkcgIPrmwTf77+JfqOLQ3EAF837XyYvnxzvdUfgm5p025x+SV/YukvKbS7kAE8D2l1RXqAnLHFW4HNhqvDEZuVJTIS/sWqmTVpgQit/vdiVWyJz/dIWMjMhJ8qPzvybXNfh0cx/igenHPP9XSK7mXc8W5akbkViZI0+G7a8xm+Y8Di+RySb4DR0juzisTWN88sUoFJJYCkbLMa5L54VYpOnZZqotLxb91mESN6S6xswaLb2CLBqeJf314iXw+8t+kJTO/iWyCHTKvHVkqJjFZ/Yi6eTZHshZ9q45Hc2WVBMRGSOvJfSRmRv3lURzP1ytuyv+eXCP/1XO2C/4FZGtS8q8OL7EYiJx7c7Xkbzxi8ft7f/SC+EeH1v4dr1JlrpHXDi+Vdwc/9X1yM3k7rwtGDl+/JOuzD1n8evmVQjn+8gfiGxwgMff0F9+QQLl5MlOdDEvO5kjHX915ksNJENuAF53fKk93vNvJ/wIi77Dw3Ga1TGotELmx75yc+fVSCU6NkfiHhotvoL+UZV+XiqsNlxDHsbgqc7/MShoi3cITnDh6shU2B5wqzLL49TZT+khY33b1HzSb5eKfvhL/mPB6gUjdJZtDBRdlY84RmRDX2xnDJjfjdcHIkks7rO6ayU87KtXFZdL19w9LUHLrWw9O6SvmGrP6WlVRqfiFBjV4Elx6aZf8S+pYacH6B0RWYYl0WcZuq8uk1TfL1VVz+KBU6fDz+8TkY9u2ThzfSIj9JWdHdIf9D4svfGd19iuka4K61VV0NENqyiul1djuFl8bM9KfXdzOYMQgmjX/9cYbb6h94S+//LLV5y1ZskS6dOkigYGB0rNnT1m7tvlryJamhRFJW0ueqi4pV3/6RbSs93iLqBARH5OYWliuLXKjskS2XTnlwBETeaeteSekuKrM6nPyNx+Tqus3JeHR0SoQqS6rUBcFjcHx/VXWISmtqnDgiKkpThdlq63a9maK4HePYk+txnaz+BwEskcKMuRi8RUHjJS8NhjZs2ePvPvuu9KrVy+rz9u+fbs8+OCD8sQTT8iBAwdk5syZ6nb06FFxtBOFmY1mcYf1SlJ/XvjftVKSnquWbfK3HJcraw5IzD0D1DSxtSuyIwWXHD5uIm+D48SvkbX+wgMX1HJpRX6RHHnyXdl/75uyf9abcuFP66Wmosrq92LrKD4ISV+Hrl9UBSTtUVNVLde/PalmSwJiIhp9Ps+5xtCkYKS4uFjmzp0rf/vb3yQyMtLqc9966y2ZNGmSvPLKK9K1a1eZP3++9OvXT95++21xNJSWxtSeNeEDUqXtvFFSeOC8HHvhfTk8789y7o2V0uae/pL09Hir34tA5/iNyw4eNZH3OXYjQyUhWlOWdV3M1TVy9rUvJKx/iqT+4j6JntBLrqw9IOf/sNrq92JZ4ASPRd2pc66dCaaF+85JVWGp1SUaDQJaXGSS92tSMPL888/L1KlTZfx46x/esGPHjjueN3HiRPW4JeXl5apQSt2bLa6UFYqPDeWEkTQV0iNR2r04ufYEmP3Zdsn9cq9N1QWJyLrc0huNPqemtOJW3sC4HpL87ASJGt5Z/dl6Sl+5tuWE2vVmbZbySnnDSa7kOrllN+yuKZK/+biY/HwkalSXRp+LgPZKuW3nf/JsdmdiLl68WPbv36+WaWyRk5OjGibVhb/jcUsWLFggr732mr1Ds+mgwIFw8Y/rpOffnlZbegEnQWR3X35/s7Qa0038wiw3y8MeeCKyrtqGHAKfgFunHxxzdeHvmB0pPpEpgW2jLH4/ekqRvuwNRKpLK6RgxxkJ69fe6nm2Lp5zjcGumZGMjAx56aWX5OOPP1bJqM7y6quvqtKx2g0/1xboXdHY2zZvzX61jVALRDQRgzuqq7Sb6bmN/gwisi7Ehno8KmkcV0SR9ZPJteTyqmLLCbBImGS3V/2F+gWpJTNbXd9xutFdNHWhsR5rOxmDXcHIvn37JC8vT+V8+Pn5qduWLVvkj3/8o7pfXV19x/fExsZKbm79D3j8HY9bEhAQoGrY173ZAm3HG4vUkb1vrr4zZMHataL9aWFquGt4W5vGQmRkXcMSaju0WhLc8VafmcrbaopU5t/6e4twy1fOOM7Zp0Z/HUNjbVoa11zbdEx8gvwlYohtvWcwKcLfszHYFYyMGzdOjhw5IgcPHqy9DRgwQCWz4r6v753bYocOHSppaWn1HtuwYYN63NFsKYIU0DZK7aIpu5x/x/INtvYGpbSxOi3che3MiRrVJTxeGtulGzXyVs7Ala/qFynE302+PhL6/c43S7ryWNRd1/AEm5dqKgtK1A6qyGGdGqx0bWl7L8+5xmBXzkhoaKj06NGj3mMtW7aUVq1a1T4+b948adu2rcr7ACzrjB49Wt58802V9Iqck71798p7770njhYfFCmpITFyrjjP4r73uNmD5cbedDnxyiKJmd5f/MKCpGDXWbmx95xET+ot/q3urAaowXTkqBjL++KJ6JYxbbo32pOmZYdYlTx+9evDqr5IWM9EKTx8SW37jHtgqMVjEcdh57B4iQlqfFsoOdfAVu0l2NdfSqobr/lybetxNQNt6xINhLcIlt6Ryc0cJXkChxf9v3TpkmRn/7D/f9iwYfLJJ5+o4KN3796ydOlSWbFixR1BjSOgANsDycOsFuAJ7ZkkXf8wT50I81bvl0vvbpTy7AJp++hoaffCJKtLNKPadJWYwHCHj5vI28QHR8qw6E6NLtUk/+skiX94hNw8maWORcxaJv54nCQ8Nsbi9+D4fiDZ8TOrZL9AX3+5J2GgOj82Jn/TMfGLCJawPreVhrcAZRpmJQ1mxWuDMJlRz9fNYWtveHi4SmZtLH+krLpC7v/2fyWv7IZDOvbWPTD+OfQ55owQ2QjFqp7Y+VeHviaOw7igSFk84iUJ8LVtqp+cC+UO5nz7P1JeU+mw10QIG+wbIEtH/URaBVierSb3Z+vnt483Ruq/7jXboYEIDox57UczECGyQ8+IJJnbboRduy0ag+P6tV5zGIi4kdigCPm3LlMc+po4e/9n9xkMRAzE64IR6BfVXp7qMM4xL2YWiSr2lUkBnRzzekQG8kj8MGlV5icmB10bPNtxgvRiDoHbuTdxkIyL6eGYwNMsMrFNL5nIBnmG4pXBCDyZepc8mjJa3W/q4YEDK7YyUPqf9JXPPvlULl686NAxEnmzmzdvyuJFn0i/oyaJLPVr8geVqc4x/Vj7W8c0uRfk673e+34Z3aZr01/k+4A1Pt9H4vcUqErcZBw+3nxwPN95oszv9YAqjmRLglXddWmcAOemjJCP7/536ZTUXioqKlSxt3Pnzjl13ETeEoh8+OGHcuXKFYkKDpP3Rz4nP0oepr7WWP+oujCjEigt5P/2eVB+3HG8Oq7JPSHRdEHfh+RfO09SPWXsOefi9+xjFrk3oJsMzwmXvJxctfOyqsp6w0TyHl4bjGgmxveWJSN/IjMSBkiAD67Obu2MuR1OkNpJclB0B/nHkGflxc6TJTSopeo63KFDB6msrJRPP/1Uzp49q8O/hMizAhEUSEQ5gEcffVTiW8fKv3WdKn8f/LQMbJV6xzFXl9bt1198JSnXR8YdC5KRkVwm9QQ4tz6SMko+Hv6ijGnT7fsLO1ODu6rw3Ftf85E+fnEy6rC/tNiXI3NmzxF/f381E71s2TKpqWHZfyPwut001hRXlUlazlE5WnBJZfpfKy9WCXEoN9wtLEEV8BkX20PaBt/ZDwMR+pIlS+T06dOquNucOXOkc+fOzfyXEXlvIBISEiKPPfaYqkN0u4yb+fJN7lHVeff4jUwpqS5XH1zRAWHSIyJRJb/iw+yD9/4h+fn5qlbRmDGWt/uSe7paVigbc46o3zE6Od+oLFEBCOqH4PeMQpXjY3tKuF+QvPPOO+p3PWjQIOnSpYuaiUZVb1T8njZtGmfFPJStn9+GCkaaCwfGF198ISdOnBAfHx+ZPXu2dO3ajDVSIgMGIvY4duyYqk2EK+UXX3xRFVkk75Seni6LFi1SQcePf/xjuXbtmroAhJEjR8pdd92l9xCpCQy7tdeZMCMya9YsVbANU4c4UI4ePar3sIh0V1JS4vBABLp16yZxcXEqZ2vbtm0OGSu5p9TUVPX7xvXxunXr1IUeqnbDt99+K7t27dJ7iOREDEaaEJDce++90qtXL3XQYE3z0KH6vTWIjBaIfPDBB7WBCHJEHBGIAK6StSviPXv2qKsr8l4TJkyQFi1aqErehw8fVr3PtOW59evX8+LPizEYaQIs0cyYMUP69u2rAhKUtz9w4IDewyLSfUYEgUh0dLTDr5iTk5PVMim6hJP3wnT+qFGjahuqlpWVqb8PHDhQPbZ8+XK1nEPeh8FIMwKS6dOnq8gdvvzyS3XlRmS0QCQ3N9dpgYg2O4KO4YDu4FevXnX4zyD3gY7umFlDDtLmzZvV73/SpEnSvXt3tTz+2WefSWZmpt7DJAdjMNIMOEimTJkigwcPVn9fu3at7Ny5U+9hEXlNIKJJTEyUTp06qZnITZs2Oe3nkHsshU+ePFnd3717t3qP4eJv5syZkpKSokosoPkqg1LvwmDEAQHJxIkTZfjw4ervX331lXz33Xd6D4vIJYEIdrc4OxDRaLkjx48fr9cZnLwPluaQwIrgExd5+NPPz08eeOABldCM9yB23mCnBnkHBiMOnEbW1jo3btzItW3ySvgQ+Oijj1weiEBMTIz07NlT3U9LS3PJzyT94CJPS2Y9cuSIeiwgIEDmzp0rUVFRKpkZtUhKS0v1Hio5AIMRBwYkY8eOVTfAWuc333yjInoib4CTPgKRnJyc2kCkdevWLh0DdlZgyh5JjBcuXHDpzybXJ7Oivgh8/fXXKpkV8N575JFH1PIgEqdRFRtLN+TZGIw4GGZH7r777tq98ZglYUBC3hCIYGlGz0AEcEWMipza7AiPLWMls2oiIiLk4YcflsDAQMnIyFCF8bDbijwXgxEnGDZsmMr+hu3bt6s8Ep40yVO5SyBSN+BH/sDly5dVewbyXvg9357MWnfZDn3D8By8D1avXs3zrAdjMOIk2GGjVQ9E5UAtCYvIk5dm5s2bp2sgAmi+p+1g41KoMZNZNUlJSaotB5bJse0bM9HkmRiMOBFqkNxzzz3q/t69e2XVqlXsQEkeF4hg50pwcLAKRNq0aSPuALvXkMyInAEtuZGMlcyqQcNS1HzSZqJ37Nih0yipORiMOBmqtKJ8PCJ3VGlduXIlAxLyuEAESzPuEohAUFBQ7XZ65BIwX8A4yayozFpeXn7HeVYrjIdkV7bo8DwMRlwAfWzuu+8+FZCg3wL62fDkSe7K3QMRDZZqsHR0/fp12b9/v97DIRcksyKBubi4uF4yqwbB6ZAhQ9R9XPSdOXNGh1FSUzEYcRF0+p0zZ47alqi1RWdAQu4G2ydRTMrdAxHw9/evre2zdetWbu80UDIr8vDqJrMCLvbQaE9rYvr555+rnTbkGRiMuBCSsFBBEOWOT548qQ6WqqoqvYdFVBuIYEYkKyvL7QMRTf/+/dU2T1wts8W89+vQoUNtMuu6devuSF5GQII8PTwP51aUjUdeEbk/BiMuhv4adbejLV68mFd05HaBiDslq1qDwF5rMY82DFphLPLuZFacPy9evNhg8jLeE5iFTkhIqJ3pQ7VWcm8MRnTaqvbQQw+p7HBUkkT0XlFRofewyKAaCkRQw8FToEQ8thvj38G+UMZIZtWW5xpKZtWW8HDRh1YFRUVFKiBBKwNyXwxGdILuk+ixgIMGZa3RY6Ghg4rImbQrRwQi2KHiaYEIIA9La6KHpRos2ZCxk1kBgTWqtIaFhakOv7zoc28MRnSUnJysDhbUS8D+eXwocJqZXB2IZGZmqkAEOSKeFojUrTXRtm1bteSJZFYyVjKrpbwQzKLgHIv3N97nyNPjxgH3xGBEZ4mJiepqFD0WUN4a0+XsQkmuDkQ8cUakoc7ZsG/fPrXdl7wbklS7dOnSYGXWurCEV3dZHNt+WbXX/TAYcQPx8fHqqhTTipguRx8Qrm+SKwOR2NhY8Yalz/bt26uiglu2bNF7OOTiZNajR49afB6SWbXSCkh6Zb8w98NgxE3gwwABCYo4oQ/IwoULufZNTglEkJ/kbYGIRssdQQVObun0ftjWrVVmReVVa3l3HTt2lBkzZtQu7Wzbts1l46TGMRhxI9hK+dhjj0lISIhcuXJFPvjgA5UJTuQIOFEjEMFyoDcGIoC8EdShgE2bNuk9HHJRl/TGklk1KIiGwmhak0VW7nUfDEbcDLaiPf7447UZ4Jgh4R55ckQggqUZBCLIT3rkkUe8LhDRjB07VuWQoLAg/r3k3WxNZq27E0fra7R69Wr1PiH9MRhxQ4jyEZBgCvLatWsqIGFCHjkqEMGMSFxcnHgrJCz27t279uqXvJ+tyawaJDv36dNHPe+LL75QOSekLwYjbgqBCJZsEJgUFBSogASBCVFTl2aMEIhoRo8erSpxnj9/Xs6dO6f3cMiNklkBM2fTp09XW8JRNv7TTz+9o9cNuRaDETeGPfIISFq1aiWFhYXyz3/+Uy3dENkTiKBZmJECES2YR98aSEtL484JA7AnmRWws2bWrFmSlJRUO3vIGWj9MBhxc6GhoSogwdQzErQwQ8JdAtQYIwciGpQMR20JbJdnXoDxkllt2d6N9wfKxmPzAL4HAcnNmzddMlaqj8GIB8DuGq06Jg4U7LLB9l+ihjAQuQXb5IcMGVKbO4L6I+TdsEwzadIkdX/nzp02XbjhGEGVVi1Hj6059MFgxINOrAhIUCANBdEQkOCKj6gunETRg0MLRLBrxoiBSN0rZWxjxvLm4cOH9R4OuQDqiWjJrOvWrbNpiQ4z0AhIUHgyOztbPvvsM5VLQq7DYMSD4KSKDxetNTYqtXLrIt0eiKDPkRaIIHg1Mvx/0LZxogYFP2CMlcyKJqSNJbNqkJunNS9F4vPy5cs5m+ZCDEY8jDalqCVdoZcNt6URupFqgQgaLzIQ+cGgQYPUlS/q9aBvDXk/LLmMGDFC3d+wYYPNyy44Zh544AGV3Hr8+HGbZ1ao+RiMeCB82CCCRy8OfAhhjRORPBmT9h7QAhHkiDAQqZ+kiGRWQEdftpE3BsyIRUZGqirW9vQqQn+j++67T93fu3cv+xy5CIMRD4WpRGSBp6amqrbpuCo+e/as3sMiF+OMiG369u2rdlkg3wqJjWS8yqxosWGr7t27y5QpU9R9BCMISsi5GIx4+BXfj370I+nUqZNaC1+8eLGcPn1a72GRiwMRLNNpgQh6s9CdUABtzJgx6v727dvZFdtAyawobIbcD1sqs9Y1cODA2hm1NWvWqGUbch4GI14Q/d9///2qOVh1dbXKAj9x4oTewyInYyBivx49eqjt8cgf+O677/QeDrkItvpqyazHjh2z63sRwGrF85YtW8blcCdiMOIlV32oJIipRVwBLFmyxO6DjjwHA5GmQQnwu+66S93fvXu3qmpMxkpmtaUy6+3vGSzXaBd7mH3G1l/SORh55513VAtmdJTFDd0PkW1sCaqF4pdZ94bdIOScgARJV/j9aM2fWFfB+wMR7KxiIGLftH1iYqJa1kQyKxlDU5NZATtrcG5t166dOv5QpTU/P99pYzUqu4IR1Ld444031PY4JPTgKmPGjBlWr8IRtCCS1G7chuo8OGjw+9C6UWKf/IEDB/QeFjkIToRo6FU3EMExSbbDBRE6tgKODTafNF5lVnuTWbXvR35ebGysyjdCQILAhnQKRtDlEFNWuLpA0uRvf/tbVarcWnY6Dn78ArUb1mzJuQHJPffcIwMGDFB///LLL5kJ7gWwYwqBCNa9sZOKgUjTJScnq5bzWNLctGmT3sMhF8FnVlOTWeuWVMAMCzqpYzs9ik+Szjkj2voZeqVgucYSNB/CwY+p0cZmUTRY08N6bt0bid3rnIMHD67NBMfVAHkmbeu2FohoVXip6bTcEVTnZJ8nY1ZmbUpeHS6+cfzhz9zcXPUZiOOTdAhGjhw5on4RiBKfeeYZtRTQrVu3Bp+LKPT999+XlStXqmktRKToFdFYCfMFCxZIeHh47Q2BDNkfkODAw/9vWL9+PXcQeEEgwhkRx0C/HiR8a030yBgwq9HUZNa6r4EZEnwGYskU+XksG998JrOdc1VYt0aBJZRWXrp0qfz9739XCUGWApLbT6zISkaxrvnz51t8Ht4gdd8kmBlBQIKfiRwUsh1+vejJoSXrjR07tnbvPHnG0gy2E2qBCANzx0ES4p///Gd1jDz++OOqxQJ5PyQv/+Uvf5Hr16+ri7W77767Sa+DCwRcZGOVAEX1kMaAi0CqD5/fmFRo7PPb7pkRnBSx3oq915jB6N27t7z11ls2F+nCL62xSqGIOLUdO9qNmgYHBwIQ3ABr5Lix34J7YyDifGiMhvMRpKWl8ZgwYDIr8h3tTWbVYHfN7Nmz1TkWydCcYdO5zgimp2yd6kIEiWUeI7c01wtmQ8aPH6/uY5aEJ1/3DkSwFs1AxPlGjx6ttsVjtpftFIyVzIobPr+a0wyvS5cuMm3aNHV/27ZtbDXgqmDk1VdfVR9kmJ5CUIG/YwkA62eABl14TPP666+rdblz587J/v371UkVa2xPPvlkc8ZMzdhrjzwSQP7IV199xYDETQMRHDMIRHBsMRBxHsy6oqsv4MqWx4PxKrMi6G9Oqfd+/frVJkTjnIrPRnJyMJKXl6cCDiSmYq/+nj171P98bc0NVxd1q9NhTe6pp55SeSLY3YG1I/SFsCW/hJxjyJAhtQ2gsMOmKVvcyHWBCPMYnA8Jjfj/jV01rFxsHEhExQUa4HOsOd2c8R7SgtoVK1Zwls0VCazunABDtsNM1apVq9R9Jl+5VyCC3CrMIjIQcR0k4WOWF519n3vuObV0Q8Y47lBZvLnJrICPUvSvwXZxHMO4cOfON3FeAit5B0wtzpw5szb5CtuvuT1NvxMiGhwyENF3xjA4OFhVZD148KDewyEXwfHmiGRWwLkU59TU1NTaLflXr1514Gi9G4MRA8NOKPRcwEF06NAhVTMGScbk+kAkPT1dnRi5NKMP7OAbOXJk7SwJC1kZh6OSWQEzauiijn5RpaWl8tFHH7Fop40YjBgc2qrPmTNHlZHH9CIK+DAgcV29g9sDEVQrJn2ghQKmk9FzBPlwZByYHUEg0dxkVkD+0UMPPaS2jiMQQS0SBCZkHYMRUgnGDzzwgDoYT5w4IZ9//rn6oCTnwf9f5IgwEHEf2FmBrb7aNs2mVOckz6/M2txkVsCSH5ZbQ0ND1dIPlmw422YdgxFSME2JrpQ4IZ8+fVpdsfPgcQ4GIu69dBkdHa2uZLHzj4wDO2siIiLUzBiW6poLr4WAJDAwULVAWbJkCWedrWAwQrVQWRfTi/iAxNY0VABt7hUC1celGfeG5UqtWjESGtEIlIyZzOqI5NM2bdqocyou8s6cOaO6qHvABlZdMBihelJSUtQHJNY9sX6K6UVOVzs2EEGghxMfTlIMRNxz2TI+Pl4F4t9++63ewyEXQg0tRyWzalC0EHl52Chw+PBh2bBhg0PG6m0YjNAd8AGJ6UWtKyUSsMrKyvQelscHIsjFqRuIoLcFuR98aGgVNffu3avqI5Dxklmx1b65yawaBDgzZsxQ93fs2MEO6g1gMEIWo/lHHnmkdr0TW9SYEd68QATTtJiuZSDi/tq3b69+R1jjRzE0MmYyK9qZOGqpGvlIWlG1jRs3sp7NbRiMkEXYK//oo49KUFCQZGVlyYcffiglJSV6D8ujAxEsgTEQ8YzZEbS8ANTgYfEqYyazYmsu+rE5Cqq8Dh06VN1H/gg2C9AtDEbIqtjYWHnsscekZcuWqnfHBx98IMXFxXoPyyNwRsSzoZQ3cgiQN7Bp0ya9h0M6JbNiWcWRwShmRzBLgvcVdtigpxsxGCEbM8IRkISEhKhmiQhIsP2NrAciONHUDUSQHEyeRcsdQe4AZgfJOBCIduzY0aHJrNqsG3qB4bVxnsCuxby8PDE6BiNkE9ReQECCRke4Sli4cCET+xoJRDAFi0DkwQcfZCDiwYF4r1691P1vvvlG7+GQjsmsKAjpKHhN7LBBbh42ByxatEgKCgrEyBiMkM1Q3hgBCdZS0VAMAYnRDyBbAhEkQ5LnGjNmjKo/gtowFy5c0Hs45ELo4oz8EUdVZr19KQjnh9atW6uZZgQkRq5rw2CE7M40R0CCPxGIICBBYEKidl4wEPE+eK/3799f3U9LS2PRKoPBzhpnJLMCNgegjEJ4eLjk5+eruk5GLTTJYITshgPn8ccfVzMlWKpBQGL03QYIRJCsykDEO40aNUpdyWKbO3dAGIszk1kBS98PP/xw7a5FFEY0Ytl4BiPUJGgAhRkSbYoRAYlRk7A4I+L9kLw9ePDg2twRJDWScaBomTOSWevm5M2dO1cFPshPWbFiheFm4BiMULNO0KhDEhMTo9Y6scsG23+NGIicOnVKBSJoNshAxDuhRgSKACLoPnr0qN7DIRfCDhhnJbPWrev0wAMPqPwkvL/Wr19vqICEwQg1C+qPICCJi4tTBdEQkBhlCyQCkaVLl6pABCcpBCKpqal6D4ucBNPoWjIj6o4YcSrdyJyZzKrB+WPmzJnq/u7duw3VG4nBCDnkJD1v3jxVJArb1FCpFWvrRghETp48qQIRLM0wEPF+WKrBjCCSt/fv36/3cEjHZFZnBQo9e/aszVFB0Ltv3z4xAgYj5BCYvkYSVlJSkuryi1423lpZkIGIcWFNH8msgJ0VRt35YOTf/8SJE9X97du3Oy1xf/DgwTJy5Eh1f82aNU5ZFnI3DEbIYdDlV+u9gpM09s17W12G2wMRLs0YT79+/dTVMdoiYCqdjFeZtUOHDiqZ1Zl5HWPHjlXvNbz+F1984XXn0tsxGCGH8vf3V6XP8QFdWVkpH3/8sSoW5S2BCE4KdQMRnJTIWPC7xwcFoBU8u1kbL5l18uTJ6n2Ac5uzZi1MJpNMnTpVunTpos49ixcv9uoNAgxGyClTmfigrtt7AT1avCEQwYmHgQj16NFDlYpHjhSm68l4yazYXeXMZFbAzppZs2ZJcnKyWv7GbLO3FplkMEJOgW2u2KZWN6rHjIInYiBCDX1IaE30du3axU7WBoScDhSAdGYyK2glA7QSCghIvPH9xmCEnAYf3LNnz5bu3bur9VXU4zh27Jh4WiCybNmy2kAEARYDEdIKYWEHGZYjHV0mnDyrMitmx1DO3ZkbBObOnatyla5fv66WvzEr500YjJBT4QP8vvvuU51PEZBghuHw4cPiSYEI2sdrgQiWnoi0Nf1x48ap+9h+iQ8JMm4yqzMqs95e9fqRRx5RtZ2QO4Ky8VgG9xYMRsglU9ozZsyQPn36qIN1+fLlcuDAAXFnDETIFtg5hmRtfBht3rxZ7+GQzsmszl6KjoqKUjMk2CiA3TU4R3lLawIGI+SygOSee+6p7X765Zdfyt69e8Ud4eCuG4jcf//9DETIIi13BDN+Ru3PZGSuSmbVoNo1ckhwbsLy8dq1a72ibDyDEXIZbavaoEGDaov5IPnPXQMRBFAIRJAbQGRJfHy8dOvWrbaJHhk3mRVdzF1Rwj0lJUUtf2tLhN4wK8dghHRpOKVdSaBokLtsjdQCESTZIhDB0gwDEbIF6o7gvY0+Rd7eCoGsJ7Pu2LHDqcmsGgTAuLgDJFB7egE+BiPkcjhpjx8/vrbc8YYNG3RvCMVAhJrbAr53797qflpamldMm1PTklmRb+bsZFbNgAEDZMyYMeo+fqan7Vasi8EI6RaQYK1dO5AwvY2pRj1O4ghEkFSrBSJcmqGmwHsZ6/hILESbeTLmrK+rklk16JU0cOBAdR8XVJ763mMwQroaPXq0miWBLVu2uPyqUgtEjh49WhuI4AqHyF7IGcCVqhZcc3bEeFq1alUvmRU1aFwVBHX/vp4TCkxmZWWJp2EwQrobPnx4bSdM9Pr4+uuvXXIiZyBCjoalR2y7xIeBETqtkv7JrIDz18yZM1Viq9YTzBV5K47EYITcwpAhQ2TKlCnq/s6dO52+5opAZMWKFbWByJw5cxiIULOhIBXey7Bp0yavqQFB9iWzahdXzq7M2lALDmz9LSkpkY8++kiKiorEU5jMHjCXiNr/WqQZFham93DIifbv3y+rVq1S9/v27SvTp09X05ANKa+skrOZV+XEpVy5cuOm1NSYJTQ4QDoltJauSTES3jLQaiBy5MiR2kAEPXSIHAENzd566y3VzRe1dfA+LiopkxOX8uT05StSWFIueEu3CmspXRLbqPdroL+f3sMmB8LHqtaxHEmt6GSO81hZRZWcybwiJy/lydXCm4JP39pzVmIbCbNwzrIH+te8//77qqEemjk+9thjEhQUdMfzSssr5dTlPDWW68Wlaiz4+V0SW6v3ZUhQgLjy85vBCLmdQ4cOycqVK9UBjR0KOKEjaNCcysiTz7cckjW7TkhFVbUgVPH1vfV1BCQ137+lB3RKkAfG9JHRvVLFr/brDETI+XBF/PXXG6TYL0xKQpNk18lLgnelj8kkPj63guvqmhr1AYD35qQBneX+MX2kR7tYvYdODoIZkXfeeUftrhkweqLsvnhD1u85KZXVNSoY9fWpf84yicjgrknqnDWiR0rt15uioKBA/vGPf6iGeklJSfLwww+rGRucUw+mZ8nnWw7Kxv1npLrG3PBYTCIje7RXYxncJan2PdsUDEbIo2H5BJnheHuiXfu9994rN8sr5c0lW+TLHcfE18ekDiRrcADh4OrYNlp+8/hkSY2LYiBCLnH2cp48+/tFkl9uEpzHG3mr1r6fJw7oLP/5wFiJCLnzSpY8z6p1X8l7Xx+UzDJ/m85Zvt8/p1tyjMx/bJKkxEY1+Wfn5ubKP//5TzVTh92B4yZNkwWLv5Eth8/ZNZZ+HdvKa/MmStvo8CaNg8EIeTxUQUVjPcxmtErsICtPFcv1otLamQ9b4aCCiZ0jpcX1CyoQQTfhrl27OmnkZGSrdx2X+R9tUDMfjQUhDQXQoUEB8tZzM6VX+zhnDZFc4OiFHHnx7eVy42aZmhWz95xlMpnkv+aOl+lDuzd5DBcvXpRFixZJzk2z7C0KkaoazMjZf/7E7N1vHpss4/p1dNrnNxNYyW2hwiB2uBRVt5AP9+bKtcISuwMRwMGH29oT1+R8SQADEXKaFduPyi8XfqWm4u0NRAAzeUUl5fL0/y6RQ+c8b3sm3XLkfLY89YclKj+oKVf71TVmqaqukV99+LUs33akyeNITk6WLoPGyPbrwVJeVWN3IKKNpaKyWv7j76vl632nxFkYjJBbi0tIln03w6XaLE06qG93uDBACszBDnglovoOpWfJ/EUbmv06CLgrq2rkxbdXSH7hTYeMjVwHF00vvL1cKquqm3TxdLvffLxRDpzNlKbIvlYob67ej0WQ729No/4VZpGfv79O5ew5A5dpyK39cuF6Wbv7ZIMH9c28S3Lt1B4pzjorFUXXxTcwWFq2SZa4QZMlMKJNg6+HBMKosGBZ9qtHHZYtToRdEnPmfyjZ+YUNvldLr+VIzt6vpORKhlSWFomPn78ERsZITO+xEt6uu8Xp8ZE928ubT1veUUbu56fvrZLNh9LVLNftijLPytlVf2nw+zrd+6K0jGnX4DkrNipUlvxyngT5t7B5HPhof+atL2T/mcs2z4jk7Nsg2XvWSWBkrHR94D8afE+2i4mST34+V1r4+tr0mlymIa9Yc12964TFq4u8g99IwfnDEtq2o7QdPlOiuw6V4uxzcmrpH6T0WnaD34PXwpXLwq/3Onn0ZCSfbtovWfk3LL5XK4quSXVlmUR1HigJw2ZKbL+71ePn1v9Drh7f0eD34AMEH2q7T2U4dezkOHtOZcg3B842GIjU1brHSEm+66F6t4Cw6Aafi/dU9rUi+STtgF1j2XQoXY3H1kCkorhAcg+kqUDZErzWuex8Wb7tqDgaN7eT2/ps80GrWd+te42W5HEPi4/vD2/jiNQ+cnLJ79RB1W7cwxYP7qVbD8mPpwwW/xY8BKh5kKi6eNNBtU3XkvDkbupWV+seI+TUF3+QvMNbJLrb0Aa/D+9/HAfYXknub/HmAzbtVGkZ114iU281VrR1luOzzQfl0QkDassUNDqWTQdqdxTaInPHlxIck4zEJakqs748+Mk3+2XOqF4OnbGza2YEe6Z79eqlplpwGzp0qKqUac2SJUvU9snAwEDp2bOnrF27trljJgMoKauQr/aesnpQh8Sm1AtEIDCitZpiLLtufV0TiWVbj3hmQylyL7tPZqiie/Yy+fhIi5AIqS4vtfgcvP+3HE6X60UlzRwlORsKh205dM7mmYjqijIx11Tb/PpXC2/KrhMXbXouZun2nr5scyBSnJUuBecOS8KwGY0+F694Ka9ADp9vePbZJcFIQkKCvPHGG7Jv3z7Zu3ev6ro6Y8YMi22LUfjnwQcflCeeeEIOHDigaufjhhoSRNacyMhT2eT2whVEVWmR+AW2tPo8XF0cPufYg4mMCbtetO3jjamuLJeq0mIpv3FV8g5tkcJLJ9UyozWYccGSJbm34xdybE5YvbR5sRx+/2dy8G//KWe+/LOU5DW+FIf3mK0BgD3nNnNNjWR8t0xadR0sQa3ibfoe5LEccfD50645apTmruu3v/2tmi1BLxF0DLwdSiKjm+Arr7yi/j5//nzZsGGDvP322/LXv/61uWMnL4bS2XjD25uNfv3MPqm8eUPiBk6y+jwEOjzBkyMcv2j7hxCmwvO1HBGTSSJSeknCyPsa/RA6fjFXJbOSe5+zGluiMfn6SkT7XhKW1FVdMJVez5W8Q5vl9Mo/qQTW4OgEi9+L99ixC7k2jwUXXLZc0F09vl0qi65L3LRnbXpt9e8w4X1v21hs1eQFc5S4xRIM6uBjuaYhO3bskJ/85Cf1HkMDIVTBtAYV43Crm41LxnKloPjWeif29Nqo7HquZGxbpjLSozoNbPT5Odc9p4kUuS8kF9oaM7fpOUoi2vdWAXNB+iExm2vEXG19qh7r8k1ZBiLXyiso/j6HwvrSMm6a8HY9JLJ9Lzmx5PeStWuNdJj6tMXvxXss51qhzWOxZYkGuSHZe9ZLTP8J0iIoRGyFgMvR50+7d9OglHZISIgEBATIM888o1qwozhVQ3JyciQmJqbeY/g7HrdmwYIFaiuQdktMTLR3mOQFSYH2qCwplPR1fxdf/0BJmfCoWo9vjK3rqUSOeh9hO29YQidp1XmgpE55Umoqy+Xcur9b7VCNL/G96v6qzTVNKoYUEN5aBSXFmWfVkon1n2HbD0DVarMNg8nevU78AoJVMrWzz9EOD0bQZv3gwYOya9cuefbZZ+XRRx9VZbsd6dVXX1V7krVbRga3thlNy0B/m682kQCYvuZv6s/UKT+WFi1t66EQEmR5CxuRrVC+vakwS4LaI+U3rlh8Di62gwNtry9B+ggJDGhyXTH/lhEqmbWmqsIh7zXUUMIytzVlBVfk6okd0rrnSKm8WSjlhdfUraa6Uo0F9y3tqsErO7pOk93LNP7+/qolMvTv31/27NmjckPefffdO54bGxurmvXUhb/jcWsw64IbGRdaatsSeddUVUr6+n+ok3mHac9IUJRtXU+xttstqf6sHVFTdElqI8cv5TYp4RrvX7C2owavi+OB3FvHhOgmvQegoihfTL5+4tPC8gUSckC6JrWxbSxtoxvNY8JSIa74Ln+3XAS32xz/5DcqUEkYfu8dX0N/ry6Jto3FVs0usoDpoLr5HXUhlyQtLU1efvnl2seQwGopx4RI09WGQAFTmhc2fig3cy9I+4n/Ii1j76xeaAkOVFt+BlFj8D6qqj5k9TmoutoiKLTeY8gVuXZ6r5j8WkhgI0E036vuz5aLm8rS4jtyM0quZsqNC8ckLKmLmEyWFysQ6Nj6PsDzGptZxoVbysTHG1y6wa6vhOEzJSCsVYPfiwtFWwMjpwQjWD6ZPHmyJCUlSVFRkXzyySeyefNm+eqrr9TX582bJ23btlU5H/DSSy/J6NGj5c0335SpU6fK4sWL1Zbg9957z6H/CPI+8a3CpHNCazmTecViw7HMHStvHcTJ3aW6vESd2OuK6jTA6s8Y0yfVkUMmgxrVM0V8fXyszuRlbFmiTvAhce3VMmJVSZFcO7NPygvypO3Qe8S3RYDF6fC2rcOlQ3zDHwrkPlJioySpTYRk5BVYzNa4sOFD8fFroZLs/YJCVNJ9/omd6rH4wdManc0dZeOOqu7tYqVVWLDkF1quT4OfH5HS847Hrxzeqv5s6GuagBZ+MrSb7Rd/Dg9G8vLyVMCRnZ2tEktRAA2ByN133yptfOnSJTV9oxk2bJgKWH7xi1/Iz372M+nYsaPaSdOjRw+H/iPIO/1obF957aOvLX699OqtrqaFF4+p2+0sBSM4qId3T5G4KPY5ouaLDA2WCf07qY6mlrZ1RnboK/kndsnVY9ulqvymCj6CoxOl7ZBpKnnRmgfH9GVvGg+A3xHOWb/7bJPF54Sn9JDrZ/arqrtoD+AXGCLhKT0lbsAElchqCc5Z4/t1Un21bIElnQdG95G/rt7hkGZ9t4/lnqHdVV6fI7FRHrl187HZr38gOdeKHHpA4bz+wX88KD3a2ZZfQtSY9Kyr8qPfLmpSi3ZLkIAYGRoky3/9GJs6eoibZRVy768Xqv5Xjjxn+ZhM8unPH1a5ILYqKC6Vmb/6pxSVlDuk47mmhZ+vfPHLeZLQOsKm57NRHnm8QH8/mf/YJIcHIvPuHsBAhBwqNT5anp7m2Fw4vO9fe3QiAxEPgtmC1+ZNdOw5S0R+PHWIXYEIRIQEyS/mjndoIAIv3zvS5kDEHgxGyK317dBWnps+zGHTiz3axckzDv7QIAI0MRvYObHRLZW2mnd3fxnm4HV5cr6h3ZLl8YmNF120hY/JJP07Jcjjk5r2eljamTXScu6HvctQo3u1lwfG9BFnYDBCbu+JyYPkiUmDvv+buckHUrfkGHn7X+9VyVdEjtbC11f+99kZ0q9jQlPLTdS+vyf0SpSX7h3pwNGRK70wY7jMHddP3W/qe8FkunUxhvcU3ltN9X9+dJdMH6IVJm36PMmI7u3kjSenqsrYzsBghNweAonn7hkmkzq0FD+TfQe3duA8PK6fvPvynGYVqCJqTFBAC/nzv94rT0werK5qbW2gB3iuv5+v9A0rldBrp+Xq1atOHSs595z1k1mj5PVHJ6r3hL3vAx+TSR6fOEi9l4KbmSiKnV4j2/pKr7BS8TWJ3WPB7fl7hsubz9zj1As5JrCSR8CW8DVr1ki1TwvxTeor6/edlfLKKvHz8ZGq27ZUatPkWLfFlCnWW3u3t60bJZGjoJHYu2t2yLaj58WEENp0Z1l3nOjxmJ+fr0wd3FV+PGWwfLVquVy4cEGio6PlqaeeUoUmyXOhT8y7q3fIml0npLKqWu04rbZwzjKbzTK8R4o8M22IdEt2TF7bxYsXZeHCher+6AlTJe3UVflqL3Z+1aifW93Ae1KLCsb0TlXL2h3szFdpyuc3gxFye/i9/+Uvf5GKigrVBXrw4MFSXFouGw+ckSPns1Ur66vIXq+pUcl+KPjTPTlGxvXrKIlOSLQiskdWfqFs3H9aBSfHLuZKUUmZunKOCg2WXu3jVDI1tgaHBgeq5xcXF6uK1vizZ8+ecu+993JrrxfA733D/u/PWeezVQ0QfPzinNWjXaxaRh7fr6PEt7KtnYUtysrK5K9//as6h/bp00dmzJihHr9eXCob9p2WYxdy5PD5bLXzBmMJCw6Unilxaix39+8kbSJsb55nCYMR8gp4e3766ady5swZSUhIkMcff7xeLRsib4Sr2Q8++EC9/6dMmSIDBzomIZKMZdmyZaq5bWRkpDz99NO6tFnh1l7yCkePHlWBiK+vr9xzzz0MRMgQkpOTZfz48eo+CktmZmbqPSTyMEeOHFE3zKphds3d+73xzE5u6+bNm7J+/Xp1f+TIkdK6NZuFkXGgh1eXLl2kurpalixZIqWllpvpEdVVUFCgcuxg1KhRkpiYKO6OwQi5LVwRlpSUSJs2bWTEiBF6D4fIpXBFizV+TLFjinv58uVq2YbIGuTO4b2CBrZY2kYw4gkYjJBbOn36dO0UI5ZnsExDZDSBgYEyZ84c9f7HcuW2bdv0HhK5ue+++071icMurPvuu89jlrY9Y5RkKIjoV69ere4PGTJEdYImMqq4uDiVxAqbNm2S8+fP6z0kclNZWVmyefNmdX/y5MlqVs1TMBght7NhwwYpKipSB9LYsWP1Hg6R7vr27au2ZmKZ5osvvlDHB1FdKH2A3TNYpunWrZv07t1bPAmDEXK7LY379u1T96dPny4tWrTQe0hEusNyJWZHYmJiVGL30qVLVWIrUd0cu/z8fAkNDZVp06Z5XG0aBiPkNiorK+XLL79U9/v16ycpKSl6D4nIbSAwR/4IcgGQE5CWlqb3kMhNnDx5Uvbv36/uYxtvUFCQeBoGI+Q2tmzZIteuXVOR/d133633cIjcTqtWrWqraO7YsUNOnDih95BIZ0VFRbUXcdgO7qkXcQxGyC1kZ2fL9u3b1f2pU6eqXQREdCfkAyCxG1auXKkCeDIms9ms3gOoQRMbGyt33XWXeCoGI6Q7rH0jsseB1b17d+ncubPeQyJya6jOikJW2HmGgmhY4iTj2b17t6Snp4ufn5/axos/PRWDEdIdZkRycnLUOica4RGRdag7Mnv2bAkODlbHzrp16/QeErlYXl6e2nkIWNb29ArVDEZIV1evXlW5IjBx4kQJCWl+l0giI0DTsVmzZqn7Bw4cUDcyhqqqKrXFG7PKHTt29IpGigxGSDdYlsHyDA6oDh06SK9evfQeEpFHad++vYwZM0bdX7t2rZolIe+XlpamZkYwM4YK1Z62jbchDEZIN3v27JGMjAy1VRFJq95wQBG5GnqPIJjH1TLyR8rKyvQeEjlRenq67Ny5U93HzipvmU1mMEK6QOMvrU7CuHHjJCIiQu8hEXkkrUU8lm2ws0ZLBifvU1JSIitWrFD3BwwYIJ06dRJvwWCEXA4nSvSeQfli7AjwhvVOIj1huh4F0dAUDbVHtCtn8q7z5qpVq6S4uFiio6NlwoQJ4k0YjJDLoRvv2bNn1Y4Ab1nvJNIb2sUjCRw2btyoqrSS9zhw4ICqtIqAE9t4va1VBoMRcin01Vi/fr26P3r0aBXhE5FjYJaxR48eqlka+tfgeCPPl5+fX3veRGEzdHL2NgxGyKVQDwHVAtHwa9iwYXoPh8irYJYRTdIQ5KNMOLZ/IjAhz1VdXS3Lly9Xhe3atWunSr57IwYj5DKnTp2SY8eOqRMmlmewTENEjhUQEKDyRzCNf/78+do6PuSZtm7dKpmZmapFxsyZM9UyjTfyzn8VuR1sN1yzZo26j8g+Pj5e7yERea02bdqoGRLtw+zMmTN6D4ma4NKlS/Ltt9+q+yh/EB4eLt6KwQi5BMoWY9o4KiqqtkgTETkPighi+ydgmh/b6cmzLuCWL1+udtH07t1b5QJ5MwYj5HSYKt6/f7+6P336dK/LAidyV9hdg1lI5GmhIBoKo5Hn5NcVFBSoGkyTJ08Wb8dghJwKSVfYGw/9+/dXCVhE5Bro4or8EeQbIO/g66+/1ntIZIOjR4/K4cOHawvaIQ/I2zEYIafavHmzXL9+XUJDQ1VnSSJyLVxZ4wNNa8GADzpyXzdu3FBFIWHkyJGSlJQkRsBghJwmKytLduzYUZt8ZYTonsgdoWz4iBEj1H2Ui79y5YreQ6IG1NTUqDyR8vJyadu2reo7ZBQMRshpe+NXrlypkq+QeNW5c2e9h0RkaGPHjlXLpFg6Rf4I2jGQe9m+fbtcvHhR5dWhyqqRyh8wGCGn+O6771SL66CgIJk0aZLewyEyPNSnmDVrluryipkRLAWwoZ77yM7Olk2bNqn7SFjFzkMjYTBCDocTHWobaAdVy5Yt9R4SEYmoQGT27NkqMRI9ovbt26f3kOj7RP8vvq+W27VrV+nTp48YDYMRcigcTFiTxjJNx44dvX5vPJGnSU5OlvHjx6v76HeC3C7S11dffaX6zyDRH8XqjNg8lMEIORSy9S9fviz+/v4qadWIBxWRu0MV5C5duqiLhs8//1zVISH92mTs+36GCuXeg4ODxYgYjJDDoEBPWlqauo8rL28uXUzkyXCRMGPGDImMjFRbSbVKn+RaxcXFaiYZhgwZIu3btxejYjBCDoETGRLisPaJffFaGWoick8ohIaCaNixgd4127Zt03tIhjtnYsdhSUmJ6mI+btw4MTIGI+QQhw4dkvT0dHViQ0deLs8Qub+4uDiZMmWKuo+dHGjdQK5b0j579qw6Z953332qWq6RMRghh0w1IgEL0ASvVatWeg+JiGzUt29ftXsDV+rY0YGGluT8HYdoHgqoTN2mTRsxOgYj5JCGTugwGRsbqxLjiMhzYBYTsyP4QLx586YsXbpUJbaSc6BZIYI+/NmhQwcZNGiQ3kNyCwxGqFlOnDghx48fVyc0LM8YqWIgkbdAxc/7779f7YK7dOmSfPPNN3oPyWvh/21ubq7aNYMkYi5pNyEYWbBggQwcOFDthUYUjW1I2JZkzcKFC9X/7Lo3JE6R58NsyNq1a9X94cOHq/VnIvJMWF7Fh6NWlvzkyZN6D8nrnDt3rrZfFy7eUISOmhCMbNmyRZ5//nnZuXOnWu/CzokJEyaoqT1rwsLCVKlb7Yba++T50I4c+SI4iY0ePVrv4RBRM3Xr1k1tMYUVK1bItWvX9B6S10AtF/w/hf79+7Nf123sSt9Ftb7bZz0wQ4KCLda6C2I2BPkE5F0R/oEDB9T96dOnGz4TnMhboEZQZmamZGRkqIZ6//Iv/6KWcaj5pQ+QHIyLN1zEkwNzRlAsBxpr6IOrZ5QgTkxMVNOAx44ds/p8tE8uLCysdyP3gW6fOLAA9UTwuyUi74C8L/SvQU5DTk6OSlCn5pc+QG4dmhViGy9yc8hBwQh6kLz88ssqV8Ba/xFMRb3//vuquMuiRYvU9w0bNkyVDLeWm4LqndoNQQy5D9QjuH79ulp+03pcEJH3wLGNDr+AGdCDBw/qPSSPhaUuLaBD6YP4+Hi9h+SWTOYm1gB+9tln1f9gVO1LSEiw+fuQZ4KuhA8++KDMnz/f4swIbhrMjCAgwUwMDhLSD6Zv//GPf6hpx4ceekg1wyMi74Q8wc2bN6tl2CeffFJVCiXb4eL7n//8p7r4xgzyvHnz1OyIkRQWFqpJhcY+v5v0f+WFF15Q0/S4QrYnEAGsPaLIDirPWRIQEKAGXfdG+kPtAfRRQCDSs2dPBiJEXg65gKiFgZoYaKiHHXRku61bt6pABJ9p2H1qtEDEHnb9n8GHEAIRNFXCXumUlBRpygfakSNHuA3UA2EWLC8vT60lT5o0Se/hEJGTYfPBvffeqy4IsdygXYxQ45AAjGAE0ME8IiJC7yF5TzCCbb3I+/jkk09UrREkN+FWt/00pqFeffXV2r+//vrragsodl/s379fHn74YbW1F1N+5DkQhGgH1uTJkw3b5prIaHCso6EerupR5HDXrl16D8ntIc1g2bJltbPIuJEDg5F33nlHrfsgCQczG9rts88+q30OqvehlogGiY5PPfWUyhNByWGsH6GgDvazk+ese+KKCH926tRJunfvrveQiMiFsBw/ceJEdR81pnCeJ8uQT1lQUKByJbRGhOSkBFZ3TIAh50CROzTCw7rnc889x98BkQHhowJX+0ePHlUz408//bS0bNlS72G5HZSuQH8fLHE9+uijhi99UOjMBFYyDsxsaX0qsI2XgQiRMeHDddq0aRIdHa2KdyEwwWwp1f/g1WowjRgxwvCBiD0YjJBFWtVAbMfGQYUSxkRkXJgdRf4IdkUiDxBbf+mH8yXKvWPHEWqJsEWGfRiMkEUodIQTDmoMoOQ7u0sSEVqAYIYEkNRurUyDkaAB3vnz51Wghiqr7GBuHwYj1CBMw2IXFCBhGf0UiIigV69etTOlWK7RWoMYFTZtpKWlqfsoe8Dzpf0YjJDFbHBMN2K31NChQ/UeDhG5GXzoYjkCpR3QUA81pIwIy9ha/kyXLl1UUU+yH4MRugMaOqGeAOoK3HPPPawaSER3wPIt8kcCAwNVmwhtJtVosNX56tWrEhISwuXsZuCnDNWDq5y1a9eq+2iCGBsbq/eQiMhNoaooKrTC7t271bZfIzlz5ozs2bNH3Ue5dxaDbDoGI1QPrm5u3ryptu+hLwURkTUohIhtrIDiiFeuXBEjwHkS3ehh8ODBkpqaqveQPBqDEaqVnp5e2yoc042YhiUiaszYsWOlXbt2Kn8C+SMVFRXi7dt4EYggIMHuItRgouZhMEIKTh5asZ5BgwZJUlKS3kMiIg+BvLJZs2apvAnMjOBc4gHFvZts7969aokG23exjZcXbs3HYIQUVFnVeimMGzdO7+EQkYdBIDJ79myVwInO7Pv27RNvhGRVLVkXMyIxMTF6D8krMBghuXz5cm0nThQz8vf313tIROSBUKlZW7JYv369ZGVliTfB9uUvvvhCqqqqpH379ipXhByDwYjB4aBC0hn07t1bOnTooPeQiMiDoS4R6m3gg/vzzz9XO/S8aQY5JydHgoKC1O4ZbuN1HAYjBvftt9+qNV5035wwYYLewyEiD4cP6BkzZkhkZKSqzIp+Ld6QP3LhwgXZvn27uo/6S+hcTI7DYMTAcnNzZdu2ber+5MmTuUeeiBwChdBQEA0JnqdPn649z3gqzO4sX75c3UeFVcz8kGMxGDEolC7G8gz+7Ny5s3Tr1k3vIRGRF0EriSlTpqj7mzZtUk3kPBFmddasWSOFhYUSFRWlyuCT4zEYMSgkrCK5DC3Bp06dyrVPInI4zCL06dNHfaAj8RMNOD3N4cOH5dixY2r7MrbxMsHfORiMGNC1a9dUIhYgT4Rrn0TkDLjIwewICoOhQNjSpUvVbKynuH79em17jNGjR0vbtm31HpLXYjBiMLhCWbVqldpFg4qJ7DBJRM7UokULuf/++9WMwqVLlyQtLU08AYIm5ImgICSKQGol78k5GIwYzIEDB1RWOCoGssMkEblCq1at1A4bwI6UkydPiifsNMzIyFBL2WgGyO7lzsX/uwaC9VqtciB6SSAZi4jIFZAkP2TIEHUf232xXOzOhSC3bNmi7mOZCd2JybkYjBiElhFeXl4u8fHxtScFIiJXQXXWxMREdR5CQz001nM3GNuyZcvUObNHjx7Sq1cvvYdkCAxGDOL48eNy6tQpNdWIgj2cciQiV0PdEfSvQU0jVDJdt26duBuUsUfiKvp0YachuQY/kQygpKSk9qBHEhYbOxGRXsLCwlSHXy2H7eDBg+IuTpw4UTselHtH8TZyDQYjBoA8EWyri46OlpEjR+o9HCIyODSZGzNmjLqP5WNUg9YbipphpyEMHz5c7TYk12Ew4uXOnj0rhw4dUvexPINdNEREehs1apRqzIkyA2ioh1wNvSA/BEm1KPuOyrFI8CfXYjDixXBwr169Wt1Hq2skjhERuQOUFcCWWSzbYGfNypUrdWuot3PnTlWuHjVRUGUVuS3kWgxGvBiqrKJrJral3XXXXXoPh4ioHiSyoqEeEuqRr4E2Fa6GRFqtEBsqUmM5m1yPwYiXQrGe3bt3q/vTpk1jPwUicksJCQkyceJEdX/Dhg3q3OUq2FqMbbzV1dWqYWj//v1d9rOpPgYjXghrsOjIC2hSlZqaqveQiIgsGjhwoKrpgRLsqD+ChHtX2Lhxo1y5ckVatmzJitQ6YzDihbZu3SpXr15VBximHYmI3BmCAMzgYokElaIxW+HshnpI7tdmj7GNF+dL0g+DES+D9c/vvvuutoxxUFCQ3kMiImoUesAgfwRJpOfOnastx+4MmHnB7hkYNGiQ2tVD+mIw4kVwJYHlGfzZtWtX1QuCiMhTtGnTRs2QaDO8mL1wVudyBCStW7dWJepJfwxGvMiOHTskOztbVQ2cPHmy3sMhIrIbesFoiaRYrsGOQEfav3+/ao2B7bvYxouZGNIfgxEvgX36mzdvVveRJxIaGqr3kIiImmTSpEmqoSeKkCGhFbtdHAG5dOg9A+PGjZPY2FiHvC41H4MRL4BpRyzPYBdNSkqK2kFDROSpUCka+SOY5c3MzFQtLZoLAQ1mWnCeRDl6di53L6wN7sYBxpXL+XJ6b7pcPH5ZKkorxK+Fn8S2byOd+reXhM7xtVUCMe148eJFNd3I7WlE5A1QrBEVWj/99FO16wUVpLH9t67reTfkzL5zcu7wRSktKhUfXx9pnRitzpHJ3ROkhf8PSzCYOcYyNpL6Z8yYwfOkm2Ew4mZKikolbdFWWf6ntZJxMks95uvnow4cVEqurro1XRnWKlSmPzNBRj80RBUKAlRZjYyM1HX8RESO0qlTJ9VpfNu2bSrpFMsqYaHhsu2LnbLiT+vkxK4z6nkIQnx8TIJi8tWVt86RgS0DZNLjd8m0ZyeIBFer1wAkyKIEPbkXk1mvZgB2dlMMDw9XiUze/CbasWqvvPnEX+RGfpEgZm/sN4MDUMQsSWPbyMDZveXJJ59QZZWJiLwFdgd+9NFHcuHCBfEt9pfTKzIlOz1XBR81NeZGz5H4/nYj4yRuRKT0H9hPzYqQ+31+c2bEDWC2448v/F3WvrdRTD4mxBcqwm9MTfWtokAXNuaK77XTUnRfsYRHe2+wRkTGgwss7Hr5zx/9Ss6sy7h1jlRBitn2c+S32ZJ37Lr8y9wnnD5eahpeRusMSVX/b96fZO3fNqq/m204wBpy/tAl+bdRv5TCa0UOHiERkb6++N0aFYg0+RxpFikrqJCfjn5NMs9mO36A1GwMRnT2yW+XyabPvrNtKqSRK4DMM9ky//4/6NaGm4jI0b75dJt8/Jsvmv06OEcWXS+Wn035v1JeWu6QsZHjMBjRUfqhC7Jo/lKLgUiVuUrSzcfkgPlb2WxeKRvNSyXLfMHqwXbwm6O1syxERJ7sWs51+eNzf7O686XGXC1nzIdlq3m1fGNeJrvNaZJvzm34udU1kn0uVz781edOHDU1BYMRHb394vtWv14p5XJeTshNKZJQibD5dd/96YdSWlzqgBESEeln4S8/k9KbZVZne4/JXrkkZyROkqST9BGTmOSgbJMC89UGn49lniVvruJyjZthMKKTC8cy5Oi3J2oTrBoSIIEyUqbJCNMU6Sg9bX5tHLxpH9/axkZE5ImKC27Kxo+2SE2V5XPkDfM1yZUM6SA9pKOplySY2ks/GS2BEixn5LDF70MS7Oq/3iqJQB4YjCxYsEAGDhyoSo2joRHaLqPGf2NQzrdLly6qml7Pnj1l7dq1YnTr3/9G1Q+xxsfkKwGmQLtfG1cGq99tfsVCIiK9bFr8nVRVWC8DnyeX1fmurbSvfczX5CvxkiI35JqUmUsa/D5cBK77R5rDysyTi4MRtHR+/vnnZefOnarQVmVlpeqDgu6Hlmzfvl0efPBBeeKJJ+TAgQMqgMHt6NGjYmRHvj0h1VYi/ubAlOb5wxeZpEVEHuv4jlNi8rVeJbVICiRYQsTPVL/ZXbhE1n7dkps3SuTyaS7VeGQwggZDjz32mHTv3l169+4tCxculEuXLsm+ffssfs9bb72lmh698sorqq39/PnzpV+/fvL222+LkeuKoHyxM2EP/rnDl5z6M4iInOX4jtNWl2igXMrEX+6cPfaXoNqvW4NS8uQFOSNaa+eoqCirbe3Hjx9f77GJEyeqxy0pLy9XVdvq3rwJtpdVVVQ5/edczbzm9J9BROQM13Isz2poaqRafORWj666fL7/aMPXLcEyOc+RXhCMoMTuyy+/LMOHD7+jeVFdOTk5EhMTU+8x/B2PW8tNQflY7YYGSd7EWtKqJ/4cIiJHM9tw/kIg0lDAUSO3vrehQOUHJp4jvSEYQe4I8j4WL17s2BGJyKuvvqpmXbRbRsatynveIij01hSiswWHuebnEBE5WmBI48n72HFY0cBSTIWU1n7dEgQiPEd6eDDywgsvyOrVq2XTpk2SkJBg9bnospibW78ADf6Oxy0JCAhQDXXq3rxJUMtAaZMU7fSfk9o72ek/g4jIGTr0TbFa7AxQf6lEiqXKXFnvceyk0b5uLdE/tXc7B42WXBqM4JeHQGT58uXyzTffSEpKSqPfM3ToUElLS6v3GHbi4HEj6zqk0/ddd50jok2YRMXeyignIvI0XQZ2EJ9GdtO0kbZiFrNkyrl6FVmz5KKESZQEmoItf7NJJLUPgxF34WPv0syiRYvkk08+UbVGkPeBW2npD9U+582bp5ZZNC+99JLahfPmm2/KyZMn5de//rXs3btXBTVGNmr2EJvWKzPMZ+Wc+YRkya0y8FckW/0dt9uvBjQ+fj4y5oHhDh8zEZGrjJg1uNHyB+GmVtJGEuSsHFUl4S+bz8k+2SplctNqoUhcCA64u7cEu2jJnBwcjLzzzjsqh2PMmDESFxdXe/vss89qn4OtvtnZP+zdHjZsmApe3nvvPbUdeOnSpbJixQqrSa9GMGzGQAlv3fjy00U5LefkmFz+PvK/oq4BjqlbpVQ0+D3YDjf92YkOHzMRkat06JMiXQZ1UNVSrekuAyVJOkq2XJLTclDMUiN9ZLhEmlpb/B5cCM54YbITRk1NZTJ7QItXbO3FrhoEQt6UP7Li7XXy50b609gLEf+IewfJf33+7w59XSIiV9vz1UH52eTfOvwcmdIzSf685w3x9bW224Zc+fnN3jQ6uue5idJ9eGe1rOIISPbCtOO//vlJh7weEZGeBk7sIxMeG+PQ/DqcJ//PRy8yEHEzDEZ05OPjow6K0MiQZh9sOMAwnfmzT16SiNbhDhsjEZGenvufxyShU5zDLtpe+NMT0q67d9Wu8gYMRnQW266NvLn5NQlrFdrkgATfh9t/ff4TGTipr8PHSESkl5bhLeX33/xaEjvFN/kcqeWdPPuHx2Ta03c7eITkCAxG3EBy1wR5Z/9/y4CJvdXfG0vYun1GJD41Rt767jcy4t7BThwlEZE+ImMi5K3tv5WJj49Vf/ex4xyJACY8Okx+s/pVue/lqU4cJTUHE1jdCH4VaJv96YJlcuFohuqdUFNtVo/X5dvCV6orqyWiTbjc++IUmf3v08U/oH7XSiIib7R/42FZNH+p6nyuZkrMZtUYtKFzJHLopjw1Xub+YpaERLTUbcxGVmjj5zeDETeEX8mJnadl99oDcmrvWTl/5JKUl1aIr5+vtO0QK10GdZReo7vJkGn91WNEREZz4ViGfLd8t5zely5n9p+T0uIy8fX1kdaJ0dJ1cEfpNqyzjLhvsAQGB+g9VEMrZDBCREREeuLWXiIiIvIIDEaIiIhIV37iAbSVJEz3EBERkWfQPrcbywjxiGCkqKhI/ZmYyEI1REREngaf48gd8egE1pqaGsnKylKdglFXg4iIiNwfQgwEIvHx8arquEcHI0REROS9mMBKREREumIwQkRERLpiMEJERES6YjBCREREumIwQkRERLpiMEJERES6YjBCREREoqf/D5hFgNmXgPFAAAAAAElFTkSuQmCC", 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", 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" ] @@ -430,12 +430,12 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 56, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -457,7 +457,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] From ebf00d41121cc759b729bbdfe067d5ddae3fc4cc Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 12:55:56 -0700 Subject: [PATCH 13/16] doc update draw module --- doc_source/modules/draw/index.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/doc_source/modules/draw/index.md b/doc_source/modules/draw/index.md index 3af96a5..d943cfd 100644 --- a/doc_source/modules/draw/index.md +++ b/doc_source/modules/draw/index.md @@ -1,6 +1,6 @@ -# Compute Module +# Draw Module -The ``compute`` module has helper code used throughout the package. +The ``draw`` module has helper code used throughout the package. ```{eval-rst} .. toctree:: From e8f553339e9d9449fb3d02bde3d3005b6d7955c0 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 14:08:01 -0700 Subject: [PATCH 14/16] updated tests, final revision --- .../cereeberus/compute/computemapper.py | 4 +- doc_source/modules/compute/compute_mapper.rst | 3 +- tests/test_computemapper.py | 57 +++++++++++++++++++ 3 files changed, 61 insertions(+), 3 deletions(-) diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py index 0d35acf..d2d23a1 100644 --- a/cereeberus/cereeberus/compute/computemapper.py +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -85,8 +85,8 @@ def __cluster(coveringsets, clusteralgorithm): finished_cluster.append(cluster[val2]) coverpointcloud.clear() cluster.clear() - #print("Clustering Output: ") - #print(finished_cluster) + # print("Clustering Output: ") + # print(finished_cluster) return finished_cluster else: print("input not valid") diff --git a/doc_source/modules/compute/compute_mapper.rst b/doc_source/modules/compute/compute_mapper.rst index 151d424..8bac375 100644 --- a/doc_source/modules/compute/compute_mapper.rst +++ b/doc_source/modules/compute/compute_mapper.rst @@ -3,4 +3,5 @@ Compute Mapper Graph of a Point Cloud The ``computeMapper`` module provides functionality to compute the Maper graph of a point cloud. -.. autofunction:: cereeberus.compute.computemapper.computeMapper \ No newline at end of file +.. autofunction:: cereeberus.compute.computemapper.computeMapper +.. autofunction:: cereeberus.compute.computemapper.cover \ No newline at end of file diff --git a/tests/test_computemapper.py b/tests/test_computemapper.py index 9750e08..56b2953 100644 --- a/tests/test_computemapper.py +++ b/tests/test_computemapper.py @@ -1,5 +1,8 @@ import unittest from cereeberus import MapperGraph, computeMapper, cover +import networkx as nx +from sklearn.datasets import make_circles +from sklearn.cluster import DBSCAN class TestReebClass(unittest.TestCase): def test_cover(self): @@ -8,6 +11,60 @@ def test_cover(self): testcover = cover(min=-1, max=1, numcovers=4, percentoverlap=.5) self.assertEqual(examplecover, testcover) + def test_computeMapper_trivial(self): + #checking the simple two point graph (mostly to check if the trivial clustering function works, it has been the problem child of this whole project) + examplegraph1 = MapperGraph() + examplegraph1.add_node(0,0) + examplegraph1.add_node(1,1) + examplegraph1.add_node(2,2) + examplegraph1.add_edge(0,1) + testgraph1 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], "trivial") + check = nx.utils.graphs_equal(examplegraph1, testgraph1) + self.assertEqual(check, True) + + def test_computeMapper_nontrivial(self): + #checking the default graph for the compute_mapper notebook to see if it remains the same + data, labels = make_circles(n_samples=500, factor=0.4, noise=0.05, random_state=0) + testgraph2 = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), DBSCAN(min_samples=2,eps=0.3).fit) + examplegraph2 = MapperGraph() + examplegraph2.add_node(0,0) + examplegraph2.add_node(1,1) + examplegraph2.add_node(2,1) + examplegraph2.add_node(3,1) + examplegraph2.add_node(4,2) + examplegraph2.add_node(5,2) + examplegraph2.add_node(6,2) + examplegraph2.add_node(7,3) + examplegraph2.add_node(8,3) + examplegraph2.add_node(9,3) + examplegraph2.add_node(10,3) + examplegraph2.add_node(11,4) + examplegraph2.add_node(12,4) + examplegraph2.add_node(13,4) + examplegraph2.add_node(14,5) + examplegraph2.add_node(15,5) + examplegraph2.add_node(16,5) + examplegraph2.add_node(17,6) + examplegraph2.add_edge(0,1) + examplegraph2.add_edge(0,2) + examplegraph2.add_edge(3,4) + examplegraph2.add_edge(1,6) + examplegraph2.add_edge(2,5) + examplegraph2.add_edge(4,7) + examplegraph2.add_edge(4,8) + examplegraph2.add_edge(6,10) + examplegraph2.add_edge(5,9) + examplegraph2.add_edge(7,11) + examplegraph2.add_edge(8,11) + examplegraph2.add_edge(10,13) + examplegraph2.add_edge(9,12) + examplegraph2.add_edge(12,16) + examplegraph2.add_edge(13,15) + examplegraph2.add_edge(11,14) + examplegraph2.add_edge(16,17) + examplegraph2.add_edge(15,17) + check = nx.utils.graphs_equal(examplegraph2, testgraph2) + self.assertEqual(check, True) if __name__ == '__main__': unittest.main() \ No newline at end of file From 350b9ff8e1f24d70446968c498607f034eb1a4aa Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Mon, 1 Dec 2025 14:13:51 -0700 Subject: [PATCH 15/16] updated version number for implementedmapper pull request --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index c472f03..98ad507 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -2,7 +2,7 @@ [project] name = "cereeberus" -version = "0.1.9" +version = "0.1.10" authors = [ { name="Liz Munch", email="muncheli@msu.edu" }, ] From da84d9d241306f08329997db68b65e2d8bab9e43 Mon Sep 17 00:00:00 2001 From: ABFritschi Date: Wed, 28 Jan 2026 12:06:16 -0700 Subject: [PATCH 16/16] added scikit-learn to requirements --- requirements.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/requirements.txt b/requirements.txt index 2243954..e1fa66f 100644 --- a/requirements.txt +++ b/requirements.txt @@ -11,3 +11,4 @@ myst-parser sphinx_rtd_theme flake8 black +scikit-learn