From 2fe1454dfdcfadd2c2c4c4539aebbdde9e8d7e97 Mon Sep 17 00:00:00 2001 From: "Jan C. Brammer" Date: Fri, 29 Sep 2023 17:13:09 +0000 Subject: [PATCH] WIP: Refinement tree --- docs/refinement_tree.ipynb | 121 +++++++++++++++++++++++++++++++++++++ tucan/canonicalization.py | 26 ++++++++ 2 files changed, 147 insertions(+) create mode 100644 docs/refinement_tree.ipynb diff --git a/docs/refinement_tree.ipynb b/docs/refinement_tree.ipynb new file mode 100644 index 0000000..b3f524c --- /dev/null +++ b/docs/refinement_tree.ipynb @@ -0,0 +1,121 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "from tucan.io import graph_from_file\n", + "from tucan.canonicalization import partition_molecule_by_attribute, refine_partitions, artificially_split_partition\n", + "from tucan.visualization import draw_molecules" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m_name = \"benzene\"\n", + "m = graph_from_file(f\"../tests/molfiles/{m_name}/{m_name}.mol\")\n", + "m_partitioned_by_invariants = partition_molecule_by_attribute(m, \"invariant_code\")\n", + "ms_refined = list(refine_partitions(m_partitioned_by_invariants))\n", + "m_refined = ms_refined[-1] if ms_refined else m_partitioned_by_invariants\n", + "draw_molecules([m_refined], [\"\"], highlight=\"partition\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once the partitions are maximally refined, we need to artificially refine them until they're discrete.\n", + "In order to artificially refine the partitions, we need to split one of them. See `artificially_split_partition`.\n", + "Below we show how to generate new nodes on the refinement tree." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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d61z1c1iKggnkeFzT+xQeP9KMDkMkoonHXvFADcoAnw+KihXNrZrNWxX1jWDk4T+AWJ9m9Bw9ehAvrmWHMaQXyM8V4SfEAo91LyUE0np+IZZjKGTxyaMUxR7wuXJzHzaUorEUrgxZbK2yeLc5/8aT8z6QZ2c0D+9r7t2GqQmNMsDvh5Ji8FS9OmRTKU0sCgtzmi8uws1rmoZGxY522LQFPF4JZpE7SZ3ise4jSYoiStI6hmEYaS+dqZSiRBcxo0M8ZYAdbJSeJLFitNb8wyOTmShsqcztuRS5FR7D4pPHJjtrDIo8+fW6z9tANk07hC+e08xMafwBqK0H1xLeXTmdiqJiKCqGSiAa1Qz2a3p7NE0tio73obE5v/4hxPrRr4eZ1rMEKU47CDNpIYPdWijSfoYZp4IgteT4TinWrOE5eznM2uL8GEKsK1F0T2vujuVfKzkvA3l6SnPujObRfY3bA00tmXU3+3wKXyMkk5rBPs2Pf6jZd1Bx4JCS1rJYVREdY0CP4sOD4zVzjJci00AGu/o6quP0MkQV5TiU1HiK7Ls5YrGQ0DSUvPlem4hH6bl9npmxQeamRjBT9up0DZt2s/u973/t8aHJYZ7cOMvM2ABmKom/OEj9xnbadh3BcLz+2nIaCpdhcXnA5ECjkVdjyXkXyP29mn/4mWZ6SlNTA94sLhTucikamzWhWTh3WjMyBN/8NhS/5YUiRLZMME2MOOWUZnQcwzDQGQYyQBE+5gkzTYgqZH6yyK5wQnNl0CLoVW9tHccWQnTfOr+k404OPeXqJ3+BZZmLX1uYneTR1c+YHulj/zf+CYbx+jeY1UWKnmlN97Rmc2X+3P/zKpB7nmp+8XeaSFjT1LwyRVhKKYJl4A9onj7W/Oyn8EvfhdJg/vyjiLXJ1CbDehwXrrS67qbGprh17joTIxMM9Q8Smg1x//Rtyqsr2LZvO5vatyz7mE7lxNIWo0zIgiEi6/pnNZNhi5Yl3F8Nw0FZTTNlNY0komEGH9985ePMVJJbZ/9mMYw37umgpKKWx9fPsDAzweRwNwMPrtKy4+BrnyvgVgyG7B2lNlfmT89Q3pzJQJ/dMo5GNPUNK18R7XYrGpugt9t+3vBC/s5NE2vDNCHmCRPAm97Pj03x+PYjZidnSCZSWKZFLBJjuHeIT390kutnr6Z1XD9eJvUMYR1N6+eFeJ2JBY2lwbWEzSKKyqo4/O3fYeuB45RWNbz2ceMDj4lHFgCobNjIlv0fUtu6nfZj31l8TP/Dt18Lbof9hiGf5EUgz89pTv1CszCvqatfvYF/p1PR0ATdjzWff6axrPz6xxFryxxhLK3THjv2+Dxs37eDD3/1BB/++nF2f7CXmsbaxe/fvXw7vePiJkGSecJp/bwQrzM0Z720KUo2zIz1L35eVt24+HlJZT2GYV9bCzMTJOJvfoPpdysGQ5qkmT/3/ZwHstaaC2c1YyOrG8bPuVyK6lq4fxse3lvVpxbrTEjP48zgkmve3ELndz9g8+4t1LU2UNNSy7Fvv7f4/WQimdZxn19zYaSFLLLH0pq+GY3fld3jRhdCi5+7fYHFzw3DwOX5svcpOj/7xuME3LAQ10xGJJAXPX4Ad25pqqrBscQ9MLPN71c4nPYbg1CedWGItcHUJgs6gitLZRtKKSILEe5/cXfxa3Ut9Wkfz8BgTi9k49SEACCRsou6vFmuVDKTicXPn7eIn1Mv/LdpvvkNqtcBcVMTTrzxYasqp0VdsZgdgoaCQFFui6qqa6C/T3P5Anz8LSnwEtkVIUaSJL40x49f9JP/31/T/bCbyclJWlpaMAxF06Zm3v/+h2kf042TeR3G1GZG07GEeC5lgaXBmaVm3/z8AslUEofryy1EX6yyBtAv/LfD8eamuVL2+aXMNz5sVeW0hdzzBMbHNVU1uTwLm2Eoysrg8UNpJYvsS2FiojHIzpu9593MWmuUUvY0qAxetgYGFhYm+b0bjlh/4okEd+/d4+q1qwwODOIr+nLKYDz6Za+OZVkkYl8Ou/iKg0s6fh6sVbIoZy1ky9LcvaNxOOziqnRMTQ/y8NE5pmeGiMfDGIaDgL+M+vqtbN18DJdreWv0FpfAQB88eQj7303rlIR4JY0GNCoLgfzuN48SqCthsG+AZChOMpqk92EP4bkwv/p7v57WMRUK/ex/QmSD0wBDkfYbRdM0mZ2dZTbxhNZAE1u3bqW2pobRXgd9974AYHZscPHxoYkhtLbfUBaVVeH2+N54fEvb5+fI+cDtl3IWyKPDMNSvKUtzs5nxiR7OnvuTl1YrsiyL0Nw4oblxxse7+fD9311WkZhhKHw+zZ1bmt17weXOo7dOoqA9fyVlEnepVIr+gQGGBgfxB/3sbdxPaGaWU//lF/h8PlKpFLNTswQrgss+th3E8noX2eNx2vN9Z6NLe9WbqSQTA09IWSaP791kcHDQ3s+4zkdzTTEqOkN0wUt102Y8/iLikQUmh7t5eOVTSivreHz9zOKxmrfuf+vzxVPgcSiK3G996KrJWSAPDkA8bhdUpePJ08uLYVxd1crWLccIh2e4cesXWJbJ1PQQM7MjlJctr9AlWA4T45qxUUVjc1qnJsTXGBiLrdDlsiyLoaEherp7UIaisbGRpqYmnE4nsWiUqz+7zMz0NAvzC9y9fZc9B9+hKBB4+4FfoJ+13o3c13mKNUIpRWuZ4vzc0l7zsfA8Z376fzAbCqEti5KSEkpKS1GJeW6d/hEA7Z3fo3HzHnZ3fm9xpa7uW+deOk5l/Qaatr09kMNJKPIoKgP580Y0hy1kjSuDZ08mv9x7cfOmI9TWbAKgp+86MzMjAIvdF8vhdivMlGZmGglkkTVePDhxkiKFk6UVTWmtGRsbo7e3l3g8wZ1Pr7N193YSRTHG9CjRcIR7X9ylKBAg4PcTjUWxDM2VL65QUVFBc3MTpaVLW6IzhYlf+ZZ8bkIsRX2JgaVN3tT7orVmbHycR/duMz09TVFRMcFgEKfz9a/FyoaNHP7OP3/9WtZvWDbzuXBCs6nCwLne17JOpTTjY+B9cxf/G1VVtTI+0QvA4ycXMAwH4fA0odA4ACUlVZQF69I7uILJCenCE9njxoVPeYjoKF7eXNugNUxNT9HT3UM4HKaquordbW0M3+ij+84Tuu88+drPKKX4xq/9EtsO7GR8fJyB/n6uX79BabCUluZmysrK31i8kiSV0e5TQrxKdZHCUJA09ddW69LA9PQ03d3dhMNhKqvr+Gf/1/8PAb9/Sccuraxn/4l/nPa5JU1oyrMlk3MSyKEZiEQ0JcXpH2Pr5mNEIiH6+m8yPtG7GM4ALc272d3+ja/NUVsqrxdGhr6sYBUiU0opSnUxIebf+LhQKER3dw+hUIhgWZB92/ZRUmxfKLuPvEPfw15mJmeIRWKgNf5iPzWNtWw/sHNxHnJtTQ011TVMTU3S19/PrVu3KSouorm5marKyle+pjVQpJZ2IxRiqZqDiqqAwWREU/fC/X5ubp7u7m5mQ7OUlpayd+9eSkvS2xs8Hfb8aEVbeX4N0eQkkMNhSMbBncEWrIbhoLioApfLSzweeel7Y+PdTE8PUl+3Na1ju92wMK8xTYUzr7bfEIWsWPlBv/qNXjgSobu7m6nJKYqKiti9u/1rrdqdh9rZeah9Sc+lFFRWVlJRUclsaJb+vn7u3b2H3++jqamJmpqaxW69lE7hwMBPBl1WQryC36042GTwN/dS1BZBNBqju8eeQx/wB2jf1U55Rfmq90WOL8CmSoO28vxqcOUkbkzTLjnPpPF578EZ7t23q+o2bTxEU+MBUskwX1z7a2KxBS5c+iG/9PEfEAgEl31swwDTAjOFBLLImnKCuHETI764QEgsHqe3t5ex0VG8Xi/bd2ynuqo6a3MjlYKyYJCyYJD5+Xn6+vt59OgRvb19NDY1Ul9XR9iIUawClJJBl5UQr7GnzuAfHqS48WCQuYlB3G4327Zto6a6Oic9kClLk7TgYJOR9XW2M5WTuHk+Ly2Tv4ue3muLn2/f9h4P7j9mNhTCTAVIJKZxu92Mjj1m44bXb8H15pPMbIqKEF/lV15qVDn9ehRnykl/fz9Dg0M4HA42btpEfX39it4giouL2bVzJ5FIhP7+frqfdtPf10fFlhqOlO7D4c2v7jtR+GKxGHcudTF6L86E0cSetg00NtQvqehqpQzPaeqKDXbW5N/rPSeB7HA8W7bMsj9Px4vd1KlUgvbduxkdHeWzzy4wMjaMz+9jNjSd1rG1BmWkf25CvE6FGeTG1F3u99xFJyyampvsKUyr+GLz+/1s27aN1rY2esf6mBwY54f/5c/Yt3MvR44coWQVx/LE2pRKpbh8+TJnz54llUrxg33vc01vwsKx4lvrvslCXJO0FN/Y4iCQh+tM5CSQvT5wuSCZTD/0SkuqmJkdBeDa9b9l86YjRKMz+AIpqqoqCYVCDA5MYXCd5pYWysvLlrxKUjIBRSUyfiyyx7Isbty4wekzpzHbXVRvr2NjRSse9/JWk8smt9tFVVM1e2p2Mjk3zOXLl7l8+TJ79uzh2LFjVFRU5OzcRGGyLItbt27x2WefMT8/z759+3j//fcpLi6mpsfkL2+miCY1Ptfqh6GlNYMhzZEWB/sb8691DKC0zmQF3PTE45o/+ncWaAiWpfcPMzzyiAuX/uKllbpeVF3dxo5tv8xAfz9zc3MUFT2rMq2qeuu4xWC/Zvdexce/nJ//aKJwaK158OABp06dYnJykl27dnHo+GGelgyjgIDKXSHVjJ6nWPnZp3bgUW7i8ThXrlzhwoULhMNhduzYQWdnJ7W1tW8/mFjXtNY8evSIU6dOMT4+zs6dO/noo49eelOXNDV/dCXFtWGTLRUKxyq2lLXW9M5AeUDx+4ddVOTRYiAvykkgA/zozy36+zR19en/xUxO9vPoyXmmpodIJCIYhoOionIaG3ayZdMRHA4nGs3sbIj+/n5mpqfx+Xw0NTdT+0KV6Vf192pOfMtg74H8/EcThaGvr49PPvmEwcFBNm7cyIkTJ6irs+fG91pDPNA9lFKEMwe7K8V0nDhJ9hhbqVIvr1+bSqW4ceMG586dY2Zmhk2bNtHZ2UlLS8uqn6fIf/39/Zw8eZL+/n7a2to4ceIEDQ0Nr3zsxILmj64m6Z3WbKpgVUJZa81ASON2Kv7pXldejh0/l7NAPve5xbnTmpa21Qu9+fl5+vv7mZicxO1209TYSF19/Uvjd6mUZmQYfv2fGLRukEAWyzc2NsapU6d49OgR9fX1nDhxgg0bNrz0GFOb3NQPGdNTlFOCoVbvJpHUKeZYoEU1sE21vbbHyLIs7t69S1dXF2NjYzQ3N9PR0cHmzZtlfr5gYmKCkydP8vDhQ2prazlx4gQbN25862tjeM7iP19N0T+r2VgOTsfKvZa01vTNajxOxT/a42RvfX4XBuUskLufaH7yl5qqao3bs7oXdyQSoX9ggLHRURxOJw0NDTQ2NOByuZia1Ljcit/+bxW+NNfZFuvT7Owsn332Gbdu3aKsrIzjx4+zY8eO196gojrGLf2IGR2ibJVCOaVThFigTlWzU23Eqd5eKKG15vHjx5w9e5aBgQFqamro6Ohg586dOa2WFbkRCoU4ffo0N27cIBgM8tFHH7Fr165lvUkbnbf4L9dTPJmyqC9WlHqzf6+NpTT9s1DuU/zGbgftdfkdxpDDQE6lNH/+nzRTk5rautwEXyweZ2BggJERe+3ruto6FM28/5Gbjg/kRiOWJhKJcPbsWS5fvozP5+P9999n3759OJZQsRjWUe7ox8zoEEGKcaxg93VCJ5knTJ2qYofaiEu9eQP3r9Ja09/fz9mzZ3ny5AllZWUcO3aMd955B6dUQK550WiUrq4uLl26hNvt5v333+fAgQNLep2/Siim+fuHKS72WyigqTQ7Xdhaa8YXIBSHnTUG397uoDlYGPfznAUywPUrmk9+btHUTE5L4RPJJEODg/T1TZJMuPngGxN865f3S5WpeKNEIsHFixc5d87ebebYsWMcPnwYt3t5+7lFdIx7+gmTehYfbnx4s9olrLVmnjCmsqinmq2qDdcSWsZvMjIyQldXF/fu3aOoqIjDhw9z4MABPJ7cVY2LlZFMJrl06RJdXV1YlsWRI0c4evRoVv6ttdbcGrX42X2TgZBFkRuqAwq3c/mvf9PSTEVgOqoJ+hQnNjk41urAk8axciWngTw/p/nTP9akkprKqtz+pWmt6eux8Ab6SegfE4nYVaYdHR2LhThCgL1x+vXr1zl9+jTRaJSDBw/S2dlJYJlbHr4opVP06xF69TBJkpRkqdgroZPMEaZI+diomqmlMqtd41NTU5w7d46bN2/icrk4dOgQhw8fxr/EDQJE/no+Ve+zzz4jHA5z4MAB3nvvPYqKirL+XKGY5tqQxaV+k+Fn2zWWeiHgAp+LV6+/rjUJE8IJmItr4il7K8V9DYoDjQ4aSgujVfyinAYywLUvNKd+YVFTC55VHkt+0fSURmv4wT82qKw2v1Zl2tHRQUtLixSzrGNaa+7du8enn37K9PQ07e3tfPjhh5SVlWXtOWb1HI91PzOE0Frjx4cH17Jed1prosSJEseJg2pVzibVjH8Fp1jNzc1x4cIFrly5AsD+/fs5cuTIkrd/FPnjVVP1PvroI8rLy9/+wxmKpzQPJyyuDVn0TFuEExBL2asmKrB3FNeglb2qhMuAgBtqihX7Gx3sqjEoWYHx6NWS80BOJjV/+yPN00eappZXvxNaaYmEXVn9wQnFoSNfvqv6apVpU1MTHR0dbNmyRYJ5nenp6eHkyZMMDQ2xefNmjh8/vmLzc01tMkWIET3OlJ4lQRIHDlw4Fz9efP1Z2iJJavHDQuPFTY2qoFZVEqRk1V6vkUiES5cucfnyZRKJBLt37+bYsWNUVmawk4xYNW+aqrfa4inNRFgzsWD/GU/Zc5mdBrgcinK/oiqgqC5SFOWwMZdNOQ9kgPFRzV//hYWZhKqa1f2LtSzNQD9s2KT4/q8pXK9YTu2rVabV1dV0dnZKlek6MDo6ysmTJ3ny5AkNDQ18/PHHtLa2rspza61ZIMIks8zpeeYIk9BJUqQW11lXz/7fhROPclNKEaWqiErK8ancjefG43GuXr3KhQsXWFhYYPv27XR0dFBfX5+zcxKvt5SpemLl5UUgA9y5qTn59xYeD5RXrE4oW5ZmaAAqqhTf+VVFVfWbn1eqTNePmZkZPv30U27fvk1FRQUnTpxg27ZtOe0ZMbVFlBhR4lhYaDQGCgcOfHjx4cm7nptUKsXNmzc5d+4c09PTbNy4cXGRkXw71/VouVP1xMrKm0DWWnP9Cpw5ZYdyReXKviCeh3FZheJb31XUNy7v+V6sMg0EAhw5ckSqTNeAcDjM559/zpUrV/D7/XzwwQfs3btXekIyZFkW9+7do6uri9HRURobG+ns7JThnxzJZKqeWDl5E8jwrAT+Onz+qUUyCbV14FiBVVxiUc3YGFTXKL75HZXR8p2vqjJ99913M6q4FasvHo9z4cIFzp8/j2EYi1OYXK7lzdUVb6a15smTJ3R1ddHX10d1dTUdHR3s2rVL3vSsgmxN1RMrI68C+bnuJ5pzZzTDQ5qKCiguyU4oW5ZmcgLicdiyXdHxvspa9/jzKtOrV6+itWbfvn0cPXpUqkzznGmaXL16lTNnzhCLxXj33Xfp6OiQaTur4Pnwz+PHjwkGg4vDP/ImKPtWYqqeyL68DGSAcFhz+bzm1nVNMgFl5RAoSq8K2zQ1oVmYC9ld1IePKXbuXpnWdyQS4fLly1y6dIl4PM7u3bvp6OiQKtM8o7Xm7t27nDp1itnZWfbs2cOHH34ob6ByYHR0lK6uLu7evUsgEFhcZMTr9eb61AreakzVE9mTt4EMzxfrgNs3Nb3dmkgYigJ2MHu8b17dK5XSxKIwPweJBJSWKbbtgPZ3stcqfpNEIsHVq1c5f/48CwsLbNu2jc7OTqkyzQNPnz7l5MmTjIyMsHXrVo4fP051dXWuT2vdm56e5ty5c9y4cQOXy8XBgwc5fPhw3rbitGVCKoLWJmgLlANluMDpy4tx8dWcqieyI68D+Tmt7a7mxw80D+7BwoImHgM0GA5wGIACrcEywbJAGeDz2cVhO9oVGzdDoGj1L5JUKsWtW7fo6upienqaDRs20NnZSWtra15ctOvJ8PAwJ0+epLu7m6amJj7++GOam5tzfVriK+bn5xcXGbEsa3H4JxgM5vS8tJnAioyg47NY0Ul0bAptxuwbDxqUskPZGcDwV6M8ZRjeCpSvCrWKu3nlcqqeyExBBPKLUilNaAamp2F6CmamNIkEmBa4nHbLubJKUVYO5RVQVJzbdbKfsyyL+/fvc/bsWUZHR2loaKCzs5OtW7dKMK+w6elpPv30U+7cuUNVVRXHjx+Xv/cCEI1GF4d/YrEY7e3tdHR0UFVVtWrnoLVGJ2Yx53qxQk/Q8Vns8HWAw4NyeOx3//aDQZtoMw5m3H6c4cLw1+Ao3YRR1Ixyrlw3fD5O1RPLU3CBXOi01jx9+pSzZ8/S19dHVVXVYpWpTDnIroWFBc6cOcPVq1cpKiriww8/ZM+ePVLNW2ASiQTXrl3j/PnzzM3NLQ7/NDQ0rOjz6uQCqYnrmHM9kIraXdHuUpSx9OtUp2LoRAi0iXKX4qjYhSO4bVnHeBuZqrd2SCDnUH9/P11dXTx69IhgMMjRo0fZu3evVJlmKB6Pc/78ec6fP4/D4aCzs5NDhw7J32uBM01zcfhnamqKDRs20NHRQVtbW5Z3x7Kw5npITVxDx6ZRnlJwBjJ6Dq1NdDwEZgyjuBVn9X4Mb2a7yclUvbVHAjkPjI2N0dXVxZ07d/D7/Rw+fJiDBw/mXZWpqZMkzAWSVgSL54UsCgMHTsOP2yjCaeRuPmMqleLKlSt8/vnnJBIJDh8+zLFjx/D5Vm5TBbH6LMviwYMHnD17lpGRERoaGujo6MhK96w2Y6TGLmPOPgZloLwVWR3/1WYCHZtAuYpxVu3DCC5/6OTFqXrxeJxDhw7JVL01QgI5j0xPT3P+/HmuX7+O0+lcrDJdie3OlkJrTdwKsZAYI2pOEzfnMXXCDmPsdZS/3IXFwKHcuIwAfmc5AVcNPkf5qoxfaa25ffs2n376KaFQiL179/LBBx9QUlKy4s8tckdrTXd3N2fPnqW3t5eqqiqOHTtGe3t7WsM/OhUhOdyFNdeD8pajnCvzRk5rjY7PgJXEUbUfZ+XuJYW+TNVb+ySQ89BXq0z37t3LsWPHVq3K1NIpwqlxQokhIqkJTCuOQ7kxDJf951d2G9JaozExdeLZRxIDJz5nOaXuJopcNThU9lvOz1d9OnXqFKOjo2zfvp2PPvpoVYt+RH4YGBigq6uLhw8fUlpaytGjR9m3b9+Su291KkZy+AzWXC/KV41yrHy3r07MoVNRHNUHcFbsfuObV5mqtz5IIOexV1WZHjt2bEUvxGhqhonYfSKpSQDcRgCHWv6mBaaVIGEtoDHxOsqp8m7D76zKWot5cHCQkydP0tvbS0tLCydOnKCpqSkrxxaFa2xsjHPnznHnzh18Ph/vvvsuhw4deuPwj9YmyaHPsWYfofzV9lziVWKHcgxXfQeO4JavfV+m6q0vEsgF4FVVph0dHTQ2NmbtOSydYibew3T8KSkrhs9ZhqEy38HK0iYxM4SBQdDTSrlnc0bjzJOTk3z66afcu3eP6upqTpw4webNm2Vqh3jJzMzM4vCPw+F44/CPOfOA5HAXyltmT2NaZVZsCuXw4Gr+FobH7n6WqXrrkwRyAXleZXru3DkmJydpa2ujo6ODDRs2ZHShpqwYo5GbzKdGcCkfLiOzitJXSVoREtYCfkcltf538DiKl/Xz8/PznD59muvXr1NcXMxHH31Ee3u7TO0Qb7SwsMDFixf54osvME2TvXv3cvTo0cWlI634LMm+v0dbCQxveU7OUWuNFR7GEdxMovQAZz4/K1P11ikJ5AL0vMq0q6uL4eFh6uvr6ezsTKvKNGlFGIlcJ5wcx+csz0qr+HUsbRI1p/E6gtT59+J1vL0YJRaLce7cOS5evIjT6eS9997j4MGDsv+0WJZYLMYXX3zBhQsXiMVi7Nq1i45jRwkm72LOPsEI1Oe09ZmMR5gafsJnd2OMLPhlqt46JYFcwL5aZVpZWUlHR8eSq0xTVpyRyDUWkqP4nBUYauUXJtHaIpKawucso86/H4/j1RXkqVSKy5cvc/bsWVKpFEeOHOHo0aN5NxVMFJZkMrk4/ONMTvGNdgcVta2UlOWmENCyLIaHh+nr66PIFaekspmmd38Xf2B5PUhibZBAXiMGBwc5e/bskqtMtbYYid4gFO9btTB+8bkj5hQBZzWNgUMvtcoty+LWrVt89tlnzM/Ps2/fPt5//32Ki+UGJbLHNE16r/yQ6Nh1hqdNgsEgLc0tBMvKWI2GstYwPj5GT08P8Xic2tpaWpsbcOkFXE3fwFEshVvrkQTyGjM+Pr64yIjX611cZOSri2OEEgOMRK4/W8wjB4UsOkXUnKHKu4NK7xa01jx+/JiTJ08yPj7Ozp07+eijj6ioyGw1IyFeRSfmiff8DaCYnkvQP9DP3NwcxcXFNDc3U1lZ+cYu7JHxae496qd/aJzZuTDRaBy320VjXQVH9u+gpfHVMyG0hpnpabp7ullYWKCqqoq21jb8AXtRDys8glG6EVfDh1LAtQ5JIK9RX60yPXDgAIcPH6a4uJiEFWZw4SIpHcPrCObsHBPmAhoLx1wzpz+5RH9/P21tbZw4cWLF1ykW65s5fZ/k8OeoQB1KGWgNs7Mz9Pf3MzMzg9/vp7mpmeqamlduTvN3py5z7faTVx5bKcWvfbuD7ZtenoY3NzdHd3c3s7OzBINBNrRtoKT05cVrdDKMNhO42763WHEt1g8J5DXuq1Wm77yzh+2Hy0k4x/E7sjcvOK1zCy8wNP6I4Z4Q0ZEKThz/mI0bN0rLQKy45PBZzJmHGIGv7w88PzdPX38fk5OTeDwempqaqKure6ku4+9OXebh00H27tpIU30VsViCzy/dYWpmDoDSkgD/47/4PgCRSISenh4mJiYoKiqira2N8vKKV3aNa22hI2O4mj7GUdK6Ir+7yF8SyOvE8yrTazcvUrcrRbC0jMb6NooCq78sZywWo6+vl9HRMfwBN42tNexs+CZFLll5SKw8rS0S3T9BJxfeONUpEo7QP9DP2NgYTqeTxsZG6usbcLmc9A+NU1ddjsv1Zf3D6MQM//6//Hzxv//gd77DxMQoIyMjeDwe2lrbqK6pfusbTis8jLPmXZyVezL/ZUVBkUBeZ8YW7vN0/AKD3VPEYgkqKipobmmmtCS97rEf/8U/0Pt0YPG/f+f3fo3yyuArH5tMJhkY6GdwcAiHw0FLawv1dfVErWnK3K3U+uUGJFaeTswT7/4JyuFBud6+IUMsFmNgYICRkRGUUtTX19PU2ITb8/ICN8lkiv/nH/4llmURCoX4zgc78bhdtDS3UN9Qv+S5xFZkDKO4DXfTR2n9fqJwyWTOdcTUScLWCFUVddRXbmZ8YpyB/n6uX7tOMFhKc3MLZWVlS+4yvn/nyUth/NrnNU2Gh4fo6+tHa01zcxONjU2Lc4nd+JlPjlBubsLtCGT0OwrxNjo5D1Yc3EvbfMTr9bJ582ZaW1oZHBpkaGiIoaEhamtraWpqWiyYvPuoj1AoRCgUorqihLbWFpqampY/Z97hQccn0VrL8M06I4G8jkRT0ySsBbyOIIYyqK2ppaa6hqmpKfr7+7h16xbFxUU0NTdTVfnm8eVoJMaZTy6hlEIZBpZpfu0xWmtGR0fp7e0lkUhQX19PS0sLbvfLLQun8hExJ4mYkxLIYsVp6/nWoctb/crldtHW1kZTUxPDw8MMDg4yMjJCVVUVc+EE/+VHnxKJxggGS/m9/+YHtDR/fXx6KZQyYPEcV286osg9CeR1JGGFAf3SnGOlFJWVlVRUVDAbmqW/r597d+/h9/toamqmpqbmlV1tpz+5RDQao/2drfT1DDMXml/8ntaaqakpuru7iUQiVFdX09bW9tp9iZVSKKVImPOv/L4Q2WUBpN36dDqdNDc309DQyNjoKOcvX+Nnn10nUFRMU2MT//hXPkg7jG0KjX52nhLI64kE8joSN0PYuxd/nVKKsmAZZcEy5ubnGOjv5+HDh/T29tLY1Eh9Xf1ilWnv00Ee3H1CoMhPx0cH6fsPP108Tmg+RN9AN6HQHOXlZWzfsZ3iorcv6mEoF5HUjHTTiVVgv8HM9LXmcBhEU4obD8dAGdTW1PBr3+lg28ZMdx3TKNTieYr1QwJ5ndBaE03NLGlf4pLiEnbu3EU4HGZgYIDup9309/XT0NBAVVU1p/7+PAAfffMoXq+9qEgikWBmZpY7t+5Q31jLnj17FhfwXwqHcpO0Ipg6gVOt/kIlYv1QhsPurs6wS/j+kwF+/LNzmJbG5XLyG9/pYEvGYWxXgSvDvewudVH4JJDXCVMnMHViWZtHBAIBtm3bRmtrK4ODAwwMDPBff3SSseEZ9h/aw6atLcRiMcbGxhgbncDpdLJ121Y2b1n+XGJDOUlZMVI6ihMJZLFylKsYDA+YcTDeXmX9Kvce9fHjvz+PZWkMQ7F7ayOGUvQPjS8+pr6mAqczjcA34yh/nfQUrUMSyOuExuTLrrDl8Xq9bNq0maJAkJN/e5lEIo6/VPHFF18QjUaJRCKUV5RTXFREZcWblxx8Hfu8NDILT6w4VwDl8qOT4SVNe3qVx73DWNbz16ri2t0+xmZPvbR2/P/pX3yPYEka8/y1ieGrTOu8RGGTQF530n/XnUykCAaDWFYJXSdvMjk5STAYpKKicnF5wT/+d39NVU0Fv/27v7Ls89LwrJhFiJWjlIHhq8aMPczS8ezXfjbeTGptAQrllmUz1yMJ5HVCYcCzVmimDMOgpKSEUChEIBB45Vq/y2e33tNpwQuxXIa3EpP7aRd2ff8bR/j+N44AEF4I88WVL9i/bz/FJRnuSpaKgsOL8iy9/kKsHRLI64ShnChlYPH1+cJLFSwr4f0T7wL2Yh83b/po29DKozt9xGJxAA4e3UPFa1bqehNLmyhl4FCyIbtYeUZRIzgDkFwAd2Yh+nxaoGVZGZ+XTsxhlG5ELXHRErG2SCCvE4Zy4jFKiKQmwUhv8Y3ikgD7Du0C7JtPOD7Dtu2b6X08shjIO3Zteu3SmW9iV1d7caVZZCPEcih3MY6SVszpu6g8CWRtJUEpHKWbpKBrnZK6+nXE6wiiSWXlWM8X88hGqwDsQPY6S+1VioRYBY6SNlBOdCqW0XGyFsjxWZSnAiNQn9FxROGSFvI64nEUoVFZWXxDKYVhGFimxe/+q3+U8blpLLwOKWQRq0f5azGKm7FC3RBIf5qRykIgazMOlomzfAfKkNvyeiXNkXXE4wjiVG5SOrMWwXOGYWSlhWzqBAYOvI5g5iclxBIpZeCsPoByF6PjM2kfJ9MWstYaKzqJUdqGEdyU9nmIwieBvI54HEUEXDUkrXBWjmcY2emyTphhvI4yfI7X700rxEowPEGcVXvBjNut1DRkOnyj49MY7lKcVftRspnEuiaBvM6UuBoAhamTGR8rGy1krS0sUpR6mmT8WOSEEdyMUboRHZ20C6uWSSn7WjCt5c9g0Ik5u6u6ai+GJ7jsnxdri9wB1xm/sxKfoywrOytlI5AT1gJuI0CRM5PdcYRIn1IOXLVHMEpa0JHxtEI5nWtBJ+bRqQiOqn0YwS3Lfk6x9kggrzOGclDu3QQoUlbm1aWZBLKpk5g6QblnE05D1q8WuaOcPlx172GUtNqhvMzK6+VcC1prrPjMYhg7K3fLNCcBSCCvS0XOWkrdzcSt+WdL9aUnk0DWWhMzZxfPRYhcUy4/rvr3cZRtRSdmsaKTS74+lnotaDOBDo8ABs7aIzgr98pQjVgk9fXrkFKKSu8WouY0UXMGn6M8rXfohuFIO5Dj1hwuw0+VbzuGFLKIPKGcXpz172EEGklNXrPD0xMEp/+N18jbAllrEx2fAzOKUdKCs2q/bCAhvkYCeZ1yGl6qvTsYjlwjboXwGKXL3zIxzRZywlxAa4tK3zY8DlkiUOQXpQwcwU0Y/hpSE9cw5/sgPot2+VGuEns/5a943bWgzTg6HgKdQrlLcVS9g6Nsu8w1Fq8kr4p1LOCqpsbXzlj0FnEzhMexvFA2DAPTXF5ladycx9JJqrw7KHVlvpm7ECtFuYtx1r+HIz6DOdeDNfcUHR23d3UyHCiHFxxuUAYuBygrgU5G0GYMzARggXJi+KtxlG7GKG5GOX25/rVEHpNAXudK3A0opRiN3CZqTuF1lC25C9kwDJLJpVWkam0RM0MoFNW+XQTdrVLIIvKeUgrlLcfwlqMrdmKFR9CJEFZ0Ah2bQqeioC38rhQOZbeIlasIo6TK/jlPOcpfI+PEYkkkkAXFrnocATcT0ftEUlO4HYElbfKw1C7rlBUjbs7hdQSp9G2lyJn+MoVC5IpyeO31r5/RVgqdCoNl8uDmjzEMJ1s2/uqz8WYJYLF8EsgCsOcnNxa9y3TsKTOJHpKpSdxGEQ7leW14vi2QU1achLWAQlHm2UCFdwsuQ7rsxNqgDCfKba+/nlRFJBNJlKsox2clCpkEsljkUG4qvdsIuKqYifcQTk0QN+dwGj6chhcD50vh/NVA1lqjMUlZMZI6ioGTgLOKoKeVImettIrFmuV0OolGo7k+DVHgJJDFS5RSz1bzqiBuzTGfGGEuOUjCXMAiBSgMHChlYHhSOL0mMXMWS6fQaAwcOA0PFe7NFLvq8DrKJIjFmud0OkmlsrO1qVi/JJDFKyml8DpK8fpKKfduJGEukLDCJMx5YlYIy0piWNPEIxqvowyvoxS3oxi3UYTHKMJhuHP9KwixaiSQRTZIIIu3cigXPmcZPspe+vrQrIOeK4P84xNHc3RmQuQHCWSRDVIKKNImNyEhbHItiGyQQBZpe34T0lrn+lSEyCkJZJENEsgibU6nPeKx3NW6hFhrJJBFNkggi7Q9D2S5EYn1zuVyyXUgMiaBLNImgSyETYZvRDZIIIu0SSALYZPhG5ENEsgibRLIQtjkWhDZIIEs0iY3ISFsci2IbJBAFmmTm5AQNrkWRDZIIIu0Pb8JLXVPZCHWKglkkQ0SyCJtchMSwibXgsgGCWSRNrkJCWGTa0FkgwSySJvchISwybUgskECWaRNbkJC2ORaENkggSzSZhgGhmHITUisexLIIhskkEVGZFF9ISSQRXZIIIuMSCALIVMARXZIIIuMSCALIcM3IjskkEVGJJCFsMm1IDIlgSwyIjchIWxyLYhMSSCLjMjG7ELYJJBFpiSQRUbkJiSETa4FkSkJZJERuQkJYZNrQWRKAllkRG5CQtjkWhCZkkAWGZGbkBA2uRZEpiSQRUbkJiSETa4FkSkJZJERuQkJYZNrQWRKAllkRG5CQtjkWhCZkkAWGZGbkBA2mZMvMiWBLDIigSyETa4FkSkJZJERuQkJYZNrQWRKAllkRG5CQtjkWhCZkkAWGZGbkBA2uRZEpiSQRUacTiemaWJZVq5PRYickkAWmZJAFhlxOp0AciMS654EssiUBLLIiASyEDYJZJEpCWSREQlkIWwyfCMyJYEsMiKBLITt+bVgmmaOz0QUKglkkREJZCFsci2ITEkgi4zITUgIm1wLIlMSyCIjchMSwibXgsiUBLLIiNyEhLDJtSAyJYEsMiI3ISFsci2ITEkgi4zITUgIm1wLIlMSyCIjchMSwibXgsiUBLLIiNyEhLA9vxaSyWSOz0QUKglkkRGlFA6HQwJZrHvy5lRkSgJZZEzW8BVCAllkTgJZZEwCWQgJZJE5CWSRMZfLJTchse7J8I3IlASyyJi0kIWwybUgMuHM9QmIwic3IbEuzc/D8LD9MTgIvb188NlnNN66BT/7Gfj9sGEDNDRAXZ39p8+X67MWeUwCWWRMAlmsG5YFjx/DhQtw6RLMzkIiAUqB30/xwgIOjweGhiCZhGvX7J/zeKC8HDo74d13obnZ/hkhXiCBLDImgSzWPK3hiy/gk0/g/n2IRqGyElpa7LB9Fq7hiQl8z7/+4s/GYjA1BX/2Z3brec8e+MY3YMcOCWaxSAJZZEwCWaxp09Pwwx/C6dN2uDY0QHHxKx/qcDiwLOvlLypld1U3Nto/OzsL58/DjRvwrW/Bd78LgcBK/xaiAEggi/RpC6LzFBNHxyIwNwGGA3zF4HDl+uyEyIzWcPky/OVfQne33eoNBt/4I4ZhfD2QX6QUlJXZH+Pj9rHv3oXf+i3Yvj275y8KjgSyWDrLhJkhCI3D3BjMDENsnj1z3ZipFHw+aweyywsl1VBWD8WVUNEMbilmEQVEa/jFL+BP/xRME3btAofjrT/21kB+UXW1HfCPHsH/8r/A7/6uPb4s1i0JZPF28TCMPoGBW3Ygm0lQhh28bh9Jp59oKgb+MrvVnIzB2FMYeQAoKKqAxp1Qvw2Kq2TMTOQ3reHv/s4O46IiqK9f8o8uK5AB3G7Yts1ugf/v/7v93IcPp3HSYi2QQBavZyah5xr0XIHwNBguO1zd3pcepp0ekjrx5dc9/heOkYLIDNw/Dd1fQO0W2NoJgeCq/RpCLMvp03bxVXGxPV1pGZYdyGC/Qd2wAXp64D/8B3u8ec+e5R1DrAkSyOLVZkftEB17DO4AlDfZ3dGv8MabkMNpt4qLKiG2AH3XYXrQDuXGHXZLW4h80dcHf/EXdst1mWEM9rWQ1m5PSkFbGzx8CH/yJ/a0qLKy5R9HFDS5G4qXaQ3dV+Din9thXFoHJVWvDWOwb0Lm21oFStnFXpUtEJuH638D1/8O4pEs/wJCpCmZhD//c5iYsAMxDWm1kJ9TCjZtgidP4K//2r4WxboigSy+pC141AV3PrE/r2gBl+etP7asm5AyIFgHgQq7tXz9b+2AFiLXTp2y5xpv3Jh2nUNGgQzgdNpvBj77DK5cSf84oiBJIAub1vDoPDw8C56iZRVfpXUT8vihrAFGHsKNn0lLWeRWKAR/+7dQUmIveZmmjAMZ7K5qy4Kf/MRutYt1QwJZ2PpvfRnGyyy4Svsm5HQ/C+UHcOsX9rQqIXLhyhUYHbUX7shAVgIZ7Fby06f2HGWxbkhRl4D5SXj4ub2YR2D5hSTPb0IaWHZHn9Ntj1MP3YWqFmjdt+znFyIjqRScOQNe75LmGn9VNJnk3MAAA6EQdwcGmAmF+Hk0yju1tfzKtm3pnZPPZ89/PncO3nknvWOIgiMt5PXOMuHB5xCesYu30mAYBqDR6RahuH32x6Nz9psDIVbTgwd2IdUy5hu/KBSP09XfT18ohKkzuA6+qqbG3pxiZCQ7xxN5TwJ5vRu4DcP3obQ27SlIdiCTWVddcZX9puDBGem6Fquruxvi8bTXk3YoRUtpKR3NzeyqrMxeIFdU2GPb3d3ZOZ7Ie9JlvZ6ZSei5andVZ7C05UuBnEaXH2AXkJXWwuhje55yZcvbf0aIbOjtBVf6a69XBQL8t3v3AvDz+fnsBfLzosrh4ewcT+Q9CeT1bLwHQqN2EC5T78gEf/TzswBEo1HGxsY4+XACp9MO5A/2bueDvctcLN/tg7mk3WKXQBarIZWyi6des3vTcqlnb06zFsoej92dLtYF6bJer7SGwbuAtgurMqCevZPPyk3IVwrDDyAym/mxhHibiQm7WzhLgWxk81oA+7wGBuwudbHmSQt5vQpPw0QP+MszPtQ3DuxiYqSE3bv3EPDbXd+lgTTncvpLYbIfxrul4lqsvEjEnuvrzuxN6XNGtlvIbrd9jtGo3VoWa5oE8no1PwmJCBRXZHyomopSjGgRDZVBSjJtaSgDDMNeS1uIlZZK2YtwGJl3FqZSKaampkgmk4RCIcza5Q8FfY3DYZ+fLBCyLkggr1cLU4DOyuYOf3PuBo+7e/js8QSbGus5tnszG+qr0z+gy2tv86gt2XxCrKznhVMZtGgty2JkZITe3l5CoRB+v5+5uTkePnpEt89HY2Mj7nRb4Frb55iFNwwi/0kgr1ezI2Bk558/HItjWRaxeJKnw2N0j4zz/Y59vLM5zcIst99e3zo6B/5gVs5RiFdyub5shS6T1pqJiQm6u7uJxWLU1tays76e4b4+UqkU5U4nQ0NDDA4OUldXR1NTE16v9+0HfpFp2mGcQRW4KBwSyOuR1hAaB1f6U52UUrTVVbG9pZ4in5tLX1xhJuVkLpZEa83fX7rFjtYG3K40XmIurz0nOTIrgSxWVlmZvSpWOGz/uUTT09N0d3ezsLBASVkZzro6LL+f6elpAJxOJ95gkJLqasbHx3kyOMjw8DA1NTU0NTURWOqc50gEgkEoKkrjlxOFRgJ5PbJMsFIZdYO11FbyO9/qBOyxs9HeIB9t2syfnblOLJEklkgyMD7Fxoaa5R/ccIA2wUylfX5CLElpKVRXw9AQVFa+9eHz8/N0d3czMzNDSUkJe/fuRXs8/L8vXvzaY3tnZ+mdnQXgu1u2UG1ZDA4OMjo6SmVlJc3NzZSUlLztCeHAAemyXickkNcjbT0bm8r8Io9EInR3dxOJROjt6UZZKSytMZQiEkukd1ClQJNWN6IQy6IUbN4Mjx698WGRSISenh4mJibw+/3s2rWLiooKlFLMxmJvfRqHw0FTQwMNDQ2MjY3R39/PtWvXKCsro7m5mWAwuDh98CWWBS0yJ3+9kEBej5TxLPTSD7ye4XESC7OMjo7gdnvYuXMns3PzPOm9gak1pSUleFxprtqltb1LhbQKxGpoarKD7xXV1olEgt7eXkZGRnC73WzdupXa2tqXwjPo9fJ/++CDJT2VYRjU1dVRW1vLxMQE/f393Lx5k+LiYpqbm6msrPzy2ImEPb6d5hrbovBIIK9HhsMu6Eq+/Z39V6VSKfoHBvj3P/2UpGnRsXcnuza0Ek6k+KJ3kuqaWkJzIaLhBYZ6nuA043aV6XKKUizTPkeHvDzFKti50x5LnpqCKnuDlVQqxcDAAAMDAxiGQVtbGw0NDTjSXRr2K5RSVFdXU1VVxczMDH19fdy9exe/309zczPV1dUYIyN2GG/dmpXnFPlP7njrkVJQWg0jb+6me5FlWQwNDdHX349lWZSVl7GQsLjRO8qN3i/nDLtcTmqqqvh+x14CKsXQ0CCDgwPU1S6jyjQZtQu7/MvfClKIZauthYMH4ZNPsCoqGB4epq+vD9M0aWxspKmpCdcKVTkrpSgvL6e8vJxQKER/fz8PHjygp7ubrYkEJX/wBziXUWwmCpsE8noVrIehe299mNaasbExenp7SSTi1NXW0dLaysZtC9zuHqRneIL5SIxYIknA56GlpoJj7VuoqwwC0NzSwtDQEENDgwyPDFNdXUNzczMB/xtW8kpEwVdifwixCvSRI8z+5Cc87epiwbKoq6ujtbUVzyqujlVaWkp7ezsLCwuM3r1LbyjExRs3aK+p4eDBg8ufMiUKjtJZW+NNFJSRh3Dph1DR9MriLg1MT03R3d1NOBKmqrKKtg0b8Kf5bt00TUZGRhgYGCCeiFNZUUlzS8urV/aa6oeWvfDOL6f1XEIsldaaJ0+ecOoXv2DLX/81m6NRyjs6CORympFlwe3bhDs6+GzrVm7cuIHD4eDgwYMcPnyYIpkCtWZJIK9XC1Pw+R+Dy/O1lmhobo7up08JzYUIBsvYsGFD5ktiPmM9a3H39/cTjUYIBstoaW4mWFaGArvQbLIf9n5b1rIWK2pwcJCTJ0/S29tLS0sLv7RhA3X/6T+B0wl1dbk7se5ue0z7X/9rqK5mfn6eixcvcuXKFUzTZO/evRw9epSyMhnSWWskkNcrreHqT2HoDlTY0yrCkQg93d1MTk1SFChiw4YNlJWX84rJGFl4es3k5CR9/f0sLMxTXFRMc0sLlT4HSmt475/bG00IkWWTk5OcOnWK+/fvU11dzYkTJ9i8ebNd3fzjH8Of/Als2ZKbzRzm5uz9j//Vv4LOzpe+FY1G+eKLL7h48SKxWIxdu3bR0dFBdXUGy9SKvCKBvJ6NPoZLPyTuDdI7OMzI6Chej4e2tjaqa2pWJIi/SgMzMzP09/UxG5ql0Wvi3nqMhm/9i6xVtAoB9qIep0+f5vr16xQXF/PRRx/R3t6+uEMTALEY/M//M9y8CTt22NOOVks8Dg8ewPHj8Pu//9ppf8lkkmvXrnH+/HlCoRBbt26ls7OTxsbG1TtXsSIkkNex6MIco3/1/2JhpJc5R4CWllbq6+pevkGtovmpcab6n/Bfp0tIltRy9OhR9u3bt2IVrmJ9iMVinDt3josXL+J0Onnvvfc4ePAgTudralqHh+F//V/hyZPVC+VEAu7ft1fl+oM/sFcQewvTNLl9+zZdXV1MTk7S2tpKZ2cnGzZsePUiIyLvSSCvQ8lkksuXL3P27Fka9TQfV8apaN2G05fDYpHnY8eNOxlvPkrXufPcuXMHn8/Hu+++y6FDh6TKVCxLKpVafJ2nUikOHz7MsWPHlvY66uuDP/xDePoUtm1b2c0dolF7pbC9e+2u6orlbYmqtebBgwecPXuW4eFh6uvr6ejoYNu2bTl7cy3SI4G8jliWxY0bNzh9+jQLCwscOHCA9zqOUfTwUxi8DZUtudvuMDQGbh8c/s3FPZpnZmY4f/48169fx+FwcODAAY4cOSJVpuKNLMvi1q1bfPbZZ8zPz7Nv3z7ef/99ipdbmDg0BP/238KdO9DQsKS1rpdFaxgZsRckOXQIfu/37GKutA+n6enp4ezZs/T09FBZWcmxY8fYvXu3DP8UCAnkdUBrzcOHDzl16hQTExPs2rWLjz76iPLycvsB81Nw8c8hEYHSLGyqvlyJKMxPwDvfhpZ3vvbthYUFLl68yBdffIFpmrzzzjscO3ZMqkzFS7TWPHr0iFOnTjE+Ps6OHTs4fvw4Fctscb5kfh5+8hP45BO7W3njxuy0lqNRu0u8rAy+9z345jezWkQ2ODhIV1cXDx48oKSkZHH4J+19mcWqkEBe4/r6+jh58iQDAwNs3LiR48ePU/+qtXH7b8KNn4PHD4FVDLpUAmaGoGk37PuuvWTma8RiscUq02g0ys6dO+no6KCmJo0dpcSaMjAwwCeffEJ/fz9tbW2cOHGChoaG7Bxca7h1C/78z+0QdTrtJS2X2+LWGmZn7VaxUrB7N/zmb9ohv0LGx8c5d+4ct2/fxuv1Lg7/+GT1r7wkgbxGjY+Pc/LkSR49ekR9fT0nTpxgw4YNr/8BreHJRbj/GXiKVieUU3GYGYb6bbD3u3aX9RIkk0muX7/OuXPnFqtMOzo6aGpqWuETFvlmYmKCU6dO8eDBA2prazlx4gQbN25cmaKmcBiuXoXPP7eroSMRe5/i4mL7w+Oxg/Y5re2W8Py8/RGJQEkJtLfbU5r27Fm1qVWzs7OcP3+ea9euYRjG4vDPsrvxxYqSQF5jZmdnOX36NDdv3qSsrIyPPvqInTt3Lu0GpS14fAEengWHC4qrXr7BZFM8DHPjUL/dXpHLs8QN21/wvMr03LlzTExM0NraSkdHx8rdkEXeCIVCnD59mhs3bhAMBvnwww9pb29fnX93y7KLsK5ds/8cGbEDN5F4toua/vJPr9cO68ZGuzhs/357O8UcvT4XFha4dOkSly9fJpVKLQ7/LA5fiZySQF4jIpEIZ8+e5fLly/h8Pt5//3327du3/GIOraHvuh3K0TkorbNX88oWy4LQqB3+Te2w8/iSW8av87zKtKuri6GhIerq6ujo6GD79u1SZbrGRKNRurq6uHTpEm63m/fff58DBw7ktmhpft4O5fFxSCbBNO2pUh4P1NTYq369ae32HIjFYly5coULFy4QiUTYuXMnnZ2dMvyTYxLIBS6RSHDp0iW6urrQWnPs2DGOHDmSefFGaAwenLF3hHL7oKjijeO7b6U1xOZhYRJKamBrJzRsz2pV9/Mq066uLrq7u6moqODYsWPs2bNHqkwLXDKZXHydW5bFkSNHOHr06Kpu/rAWJZNJbty4wblz55idnWXLli10dHTQ3Nyc61NblySQC5Rpmly/fp3Tp08TjUY5ePAgnZ2dBALL7/p9/ZOkoO8GdF+GhWl7f+JA+fJatGYKwtN2F7WnCOq3wpaOFV8Wc2hoiLNnzy5WmR45coT9+/dLlWmBeeVUvffek6lvWWaaJnfu3KGrq4uJiQlaWlro6Ohg06ZNMvyziiSQC4zWmvv373Pq1Cmmp6dpb2/nww8/XNkpQPEIjD2BgdswPQhmAlB2MLt8z1YyMgBtd0UnY/ZUJitlt4CLKqBxlx3GRZWrOn42MTFBV1eXVJkWmOfDEKdOnWJycvLrU/XEing+RbKrq4vBwUFqa2vp6Ohgx44deTH8Y2lNSJtMmimmrBTjZpKotkiicaBwK0WV4aLS4aTCsD+cBfSGQgK5gPT09HDy5EmGhobYtGkTJ06coLZ2FecNawumh+xirPkJ+/PoHFim/T1l2GHr9tljz8FaO4wrm8GV21W2pMq0cPT19fHJJ58wODj45ql6YsVorent7aWrq4unT59SXl6+OPzz2iVHV9C8ZfIwGeNGIsK4lSSiLSzAAThQKOx18S00KUABXqUoUQ7aXT52uP3UGM68b+1LIBeA0dFRTp48yZMnT2hoaODEiRO0tbXl+rTsceH4gj2X2LLsMDac4CvObLx5BYXD4cVFRpLJpFSZ5pGxsTFOnTq19Kl6YlUMDw/T1dXF/fv3KSoq4ujRo6s2/DNhJrmaiHA7GWHGMnGjCBoOfMp4Y8vX0pqYtpjXFvOWSZHhYJPTwz53gE1OT94GswRyHpuZmeGzzz7j9u3blJeXc/z4cbZv3563L6ZC8rzK9OLFi4TD4cVFRla1x0EAdu/FZ599xq1bt5Y/VU+smsnJSc6dO8fNmzfxeDyLwz/+FaggT2nN9USE0/E5pq0UQeWkzHDgSOM1obVmXltMWSlcKA56ArznKaYoDxsNEsh5KBwO8/nnn3PlyhX8fj8ffPAB77zzjlQKr4CvVplu3ryZzs5OqTJdBVmbqidWVSgUWhz+UUqxf/9+jhw5QklJSVaOP2EmORmb424yik8ZVBtOjCy9OQtZJhNWkiaHmxPeUrbkeCjtqySQ80gikeDChQucP38egI6ODg4fPizbD64Cy7IWq0zHx8dpbm6ms7NTqkxXQCKR4OLFi5w7dy67U/XEqgqHw4uLjCSTSfbs2cOxY8cyWjt8MJXgx5EZhq0EDQ43vhXY7CalNcNmApdSfNMb5IDbnzfXuARyHjBNk6tXr/L5558TjUY5dOgQnZ2dK9IVJN7s+QYFZ8+ezcsq00K2KlP1xKqLx+OLi4yEw2F27NhBR0cHdXV1yzpOfyrOX0dmmLJStDjcWWsVv864mSSuNd/0lXLYHciLUJZAziGtNXfv3uXTTz9lZmaGPXv28MEHHxAMBnN9auue1pq+vj7Onj2bF1Wmb2RZEJqGmUlIxsG0wFDgdEFpOZRV2p/niNaae/fu8emnn67eVD2x6lKp1OLwz8zMDJs2bVoc/nlb2I2aSf4iPM2ElVyVMH5u0kwS05rv+YPsdef+jaEEco50d3fzySefMDIywpYtWzh+/LgsW5envlpl+nyRkZyuEhWahid3YbgfhnthYR5iYTuceXYzU4DXD/4iqGmE+hbYuB2q6lZtLviLU/U2b97M8ePHpXBujbMsi7t379LV1cXY2BhNTU10dnayefPmVwZzXFv8WXiaR6kYbasYxs+NmkmcwD8rqqTOkdthkzUVyPMpi5GExUjcYiplkbQ0Sa1xGwqPUtS4Deo8DmrcBl4jN90Tw8PDnDx5ku7ubpqamjhx4gQtLS05ORexPF+tMj106BDvvvvu6g0tWBYMPIX71+HBTZifsaeZ+Yvs4PUFni3S8sLjYxGIRiAatlvPgWLYsA12HoC2reBamRvQV6fqffzxx7S2tq7Ic4n8pLXm8ePHnD17loGBAWpqaujo6GDnzp0vDf+cjc3x89gcTQ4X7hUYM17KeXabcbY7ffxmoAJXDruuCz6QZ1MW1+aTXAolGYqbLJiahAZ7mrh63lbg+S/pM6DIYbDF7+DdEjftRU48qxDO09PTfPrpp9y5c4eqqiqOHz/O1q1b82LcQixPKBTiwoULXL16FYD9+/dz9OjRrFWZvtL0BHz+M3h4ExJxKK2wu6OXM66tNSzMwfS43UJu2QwffAcaszenfWZmhk8//ZTbt29TUVEhU/UEWmv6+/s5e/YsT548oaysjGPHjvHOO+8wisV/Dk9ioKh05G4oKKYths0k3/EFOeLJ3bKsBRvI/TGTc6EEF0NJJpIWHgOCToMih8KjeOUNQGtNxIIF02I6qVFAk9dBZ9DN4RIXZa7svztbWFhYnMJUVFS0OIVJCoQKXyQS4dKlS1y6dIlkMsnu3bvp6OjIqMr0a0wT7lyBrr+HqTG769mfhRtGIg4j/eAPwKEP4eD74El/CohM1RNLMTIyQldXF/fu3cMfCJD8pQ+Yq69ik8uX8zdt42YSJ4rfK66i1MjNm4OCC+S4pTk1HefvpuJMpzSVTkWV20hrwnjc0owmLOZTmjafgx9UedlfnJ3l1eLxOOfPn+fChQsYhkFnZyeHDh2SKUxrUDwe5+rVq1y4cIGFhQW2b99OZ2fnsqtMvyYWhU/+Gm5dBrcXquuX1yJ+G63tQrDQNGzaDr/8TyC4vDcTz6fqnTt3DqWUTNUTSzI1NcXfXbnE3/oUnpRJa1U1DQ0NOZ36ZmlNdyrOr/jLeDdHreSCCuSeaIofjse4sZCizKmocxtZCU9Ta3qiJgDvl7n5fqU37dZyKpXi6tWrnDlzhkQiwbvvvktHR4dsZrAOfLXKdOPGjXR2dtLS0rL812k0DD/7c7h7NXut4tdJJmCwG5o3wXf/KVS8vbjw+VS9M2fOEIvFFl/nMlVPLNXJaIhfLEzjGB5jdHgYDdTV1dHU2IjX+2VvTSIa5cnFy0wPDjM7OoqZTALQ3L6Lvd/95ZeOOfLwMcMPHjIzNEx4dnbx6x///n+PP/j2HeaGzAQ1hovfLarKyaYUBRPI1+aT/PFIlMmkRZvXgc+R/b+s2aTFQNxim9/B7zX4qfcsvbtNa83t27f59NNPCYVC7N27lw8++GBlxxVFXnpVlWlHRwdbtmxZWjDHY/B3fwZ3vrAroz2r8GbOTNkFY00b4Vd+57Ut5edT9U6dOsXs7Cx79uzhww8/pLR0ZbfTFGtL2DL5twsTJLVFlcNFMplkaGiIwaEhzFSKmpoampub8fv9hMbGOP0f/vhrx3hVIF/+qx8z8ujx1x671ECOa4tRM8VvBypysopXQQTy5bkE/3E4SlxrNngdKzrWkNKaBxGTDV4H/0ODn0bvm0NZa83Tp085efIko6OjbNu2jePHj1NVVbVi5ygKw/Mq066uLvr7+6murqajo4Ndu3a9voZAa/jkR3DxFNS1gHcVe1ZSKRh4Alva4Qf/AtwvT+t6/jqXqXoiU0+SMf4oPEmTw/1SS9Q0TYZHRhgYGCCRSFBZWUlFIMDTsxcob6wnHo7Qf+s28OpAvv0Pp0hEo5Q3NnD/9FmS8Riw9EAGeJqKccJTwke+1X+TmfeBfGM+yb8bjpCwoNWbnS7qtzG15kHYZJPfwe83+ql1vzqUh4aG+OSTT+jt7aW5uZmPP/6YpqamFT8/UXieLzLyvMr06NGj7N279+uLjDy+Az/6j1BUCiXB1T/ReMwu9vr4B3D4I0Cm6onsuxhf4G+is2x0vnouv2VZjI2N0d/fTzQapay8nObmJmaf9nLrF58Arw7kF/3if/1DYuEwsLxAHkwlaHN6+GdFlcv8rTKXZ0sOvWw8YfEnY1EipmaTb2Vbxi9yKMXWgIP7YZM/G43xB41+XC9MjZqamuLUqVPcu3eP6upqfuu3fuu1k96FAGhpaaGlpWWxyvRnP/sZZ86c4fDhwxw8eNBeZCQ8b09tsszchDHYldZFJXDxJLOlVZy8+3Bxqt5v/uZvylQ9kRWjZpI39T0ahkFdXR21tbVMTE7S39fHzRs3iQ2PEolE8PtWrlbBpwzGrSRxbeFZ5XnReRvIltb8aCLGYMxkZ2D1N5Z2KsVGn4Mr80nOzCY4Ue5hfn6eM2fOcO3aNYqLi/mVX/kVdu/eLVOYxJLV1dXxG7/xG0xNTXHu3Dk+++wzurq6OHToEEdjE3iHeu3iqhxKFJcxde0i9+793xnY+i7f+973ZKqeyBqtNYNmYkkbRyilqK6qoqqykpmZGb4YHWd8fBy3y01xSyOWZWX9dek3DKbMFFNWivpVXrkrbwP5QijJ+VCCVq9j1ZdSe87vUBQ7FD8eizB5/RJPL57F6XTy8ccfc/Dgwfxb01gUjIqKCr73ve/xwQcfcOHCBW6ePU2w5yoVlZXUpFJ4c7BIQspMMTAwwODAIG7LYnepj/e+/8u4Nu1Y9XMRa1cSTdSycC/jvq6Uory8nK1bthC695BQKMTQwCCXL1+mqamJ2trarM15d6NIoolpKyvHW468TJQF0+KnkzHcSlHszN27csuy0OMjXJwMMTQ7xR8cPkzHsWMvleQLkYmSkhK++c1v8n7AYP4vH/BwPkLvxUvU1NTQ1NxEwL/0Be9TpsmFJ73cGhhmJhzB5XDQUlnO+9s2UveG8TPLshgeHqavrw/TNGlobKC5uRnXYA88ugUSyCKLTOyVE9O9s3u8Hqq91VRt3kRJaSmPnzxhYnKSd/bsycr5Gc/OL5WD6qq8DOQb8ykG4xZb/blZ5UdrzdjYGD29vSTicVrrGind3Mm2zWV431J1LcSyJRN4H93A29hMeXUDwyPDDAwMMDo2SmVlJc3NzZQUv3n6nGVZ/OmFq3SPTy1+LWVaPBge48nYBL91ZD8bql8uUtFoxsfG6enpIRaPUVdbR2tr65ebZgQr4NFtOPrxshcMEeJ1stXf6fN42bF9O22trSSSiSwd9ctllnMh7wLZ0pqzoQRuRVoTs8//H39IdC70xsfs+/V/Slnj16tEtdZMT0/T3d1NOBymqqqKtt278fl83A2nuDKfoHE1p6GI9WG4D8aGoKoeh8NBU2MTDfUNi1Wm165eo6ysjObmZoJlwRdWaP/SFz39i2FcXVLEh9s3MxKa4/MHT0mZFj+5epv/8Rvv4XQ40Niv857uHhYWFqisrKR9d/vXW+MlZdD/GHoewt6jq/E3IdYBBwpDQbY6hH0+X1YXXrKwW8nOHIyU5l0gP46aPI6kqPOsXFe1ekUxQSg0R3dPN6HZWYLBIPv27XtpUY+g06ArlOTjci+BFViURKxjU2OQSr60lvTLVaYT9Pf1c/PmTYpLimlpbqGisuKlYL7SM7D4+ff2tdNYHmR7Qy3DMyGejE0yF43xaHSCxhI/3U+7mZ2dpTRYyt59eykteU13tmHYm1BMDK/Yry7WHydQrBxMWMklPT6VTDL+tBuA2dGxxa9HQnMMP3gIQLC2Fn+wlNmRUSIhu0FmpszFx4497cYT8ONwuqjZtOGNz5fQ9vh2kVr93tD8C+RIiqhl78iUjl3f/gFWKvXS1yIzU9w/+TMAPIEiSmrrF78XDofp6elhcnKSoqIidu/eTVlZ2dequqvdBt1Rk+5oivYiWadXZNHEKLym4tSuMq2mqqqKmekZ+vr7uHPnDv6An+bmZqqrq4knU0zMLQDgMAzqg1++kWyqKOPJ2CTJZJKz126wtdhLIBCgvb2d8oryV7a2X+INwFCvvWCJTHcSWaCUosnppj8eX9LjE+EIX/zop1/7+mR/P5P9/QDs/c63aA6203PlGv2373ztsc/nLvtLS/l403//xueLaIsi5aA8BxtM5F0g90RNPBlc9yU1X1/Qf+zRvcXP69v3YjgcxONxent7GRkdxevxsH37dqqrq187vcptKExgNGHRnv7pCfEyrWG4197P+A0UdpVpeXk5oVCI/v5+Htx/QG9PL+7SMixtYSgDn9v10jQQlwGTU5MsLCzgrizj+wc/oKamZunTCH1+CM3Y2zYWy/KYIjuqDRc6a6PJ2RXRFq1OT07Wss6rQE5amt6YSVEWu4RTiQSj9+2l1pRhUL11J0+7uxkaHMThcLBp4ybq6+uWNJfNAQzEzLc+Togli0dhbnZZS2SWlpbS3t7OQniB/v5+bj19yuDgICUlJRR5qwF7o4v+gX7u3b1HJBKhrKyMltY2amtrl3d+Xj/Mh2B+VgJZZE2lw4kLlrT4hj9Yyvf/p//Lko6797u//MbVu95Ga00Sverzj5/Lq0AeT1rMpTQVruwF8tiDO6QSCbRl4Sir4sbde2itaWpupqmxcVlziQMOxdOoidZaVisS2WGaoC0wlj9eVRQoYsf2HXjLKjg3Ms3s7CyJSJgbN2+wsLCAZVlUVlXRaDowDANPOvPmDcM+PzP19scKsUT1DhdVDhfTVoq6HIXfq0S0hQeDFmduzimvlt6ZS2niWuM1shd2gzevsjC/wNDQELFAKdU1Nbz77ru0tbYue2EPr6GYNy3ieb36tygolvVsfDb9Q9SVl1FRUUFjYyNOr4/BoSECgQDvvvsuwYrKxd6fskAayw0qZZ+fufqLJIi1y60M9rn9hLWFlUfbKUxaKVqdHhqlhWzvtGRpyFYezw4N8PTeHaLRKBX1jbz/7e9mVB5vKEhZ9nlmbzadWNccDrugy0r/puRzu6kqKWJiboFgaZCIpWhsaMTj9jAwPbv4uOaKsuUf3LLsUJZV6USWbXP6+FzNE9ImZSr3r6+U1pjAO25/zlaHzKsWcrYN3bpGSUkJ9XV1HPjmt7M2Vy2P3tCJQudyg8NpT3vKwIE2e5cxpRTnB0a5PzLGp/ce8XRsEoASn5cttWlsCZpKgdP1ta0YhchUucPJDpePKTOVF63kETNJncOVk32Qn8urQHaqZxPGs/Bvk4iEGX/8AJ/Ph7+4mNrtmddGP2+9u7LYpS7WOZcbauohGs7oMAfbmtlQXQEKZqNxfnrjHp8/eAqA02HwK/vbcaaz1m80DL6ArNQlVkSnt5hqh4uRJc5JXinzlolG84GnZEmbXqyUvArkEqfCoxSxLCTy0O3rWJZdEV27vR2nO/MxgZilKXIYuCWPRTbVt0CGS/8ZhsFvHdnPiZ1bCfo8GErhc7vYWlfN775/+GvLZi5ZNAzV9dJCFiuizHDyobeElNaErdzMYDG1ZsxMsc8dYGcOW8eQZ2PI1S6DEqdiwdQUZ3BmlmUxfOfG4n837t6X+ckBYVNzqCR3u0+JNarcnqqU6eIbToeDzq0bURMjNLc009zUnPm5JeNQn4XjCPEau10+nrr9fBEP06oUrlVsoWqtGTAT1DtdfOgtyfnsmbxqIbsMRavXwYKZWQt5qucxsfk5AMqaWghUpDF29gom0CibS4hsq2mAQJE93zcLDMPAsrJQFZ2I20VnNY2ZH0uI1zCU4hveUra6vPSZCZKrNJ78fF/mEsPBd3xBStKYephtedVCBmj1OTg/l9l4QtXGrRz/P/9PWTojW9LSOIA6d169hxFrQXk1bNwBt7+AkmDGhzMcWQrk6XGoboSWzZkfS4g3KDYc/Iq/jB9FZniSjNHsdONewZay9axlXGQ4+L6vjDZnfgzJ5F26bPI58Sp7T+R8Mpa0qPEYtPly/y5KrDFKwY799iIc8VjGh8tKC9my7PHj3Ydk/FisijLDya/7y9jm8jGQSjBtpdAr0FqOWBY9ZmLx+XJZVf1VeRfIW/wONvudjMTzJ5C11sykLI6VuNLe9EKIN2rbArVNMDmS8aGyEsizk/b2i1tk5XaxekoNJ/84UM4JbwkJrek1EyR1drLA0poRM8mYlWS3y8dvByrY4MyfMIY8DGSHUnQE3ST08wU4cm82pSl1GBwoyZ8l3sQa43TB4eP27ujh+YwOlXEgJxMQmoZ9HTLdSaw6rzL4yFfKPw1U0Or0MGAm6U/FiaT5mk5qzaiZpNuM41OKX/WX8ev+cqoc+bdrX96NIQPsLXLS4DEYiFk57yLWWjOUsDhW6qJxBfdoFoJte6D7IFzrssdt0ywyySiQtYbhPmjbBoc+SO8YQmRBq9PDbwcquJ+MciMRoS+VYMSyCCgHfmXgV8Yrd2SytCamLSLaYkFbaOzdpd7zFLHT5afckZexB+RpIBc7Db5X6eXfD0eYT1kUO3MXhEMJi0qXfT65LokXa5xhwHvfgqEeGOmH+ta0pkFlFMgzE/aWix98e1k7UAmxErzKYK87wB6Xn34zwb1klJ5UnDnLZMpK8WUfqr2c8fOZg16lKFIO2p1edrh8bHZ53rqrVD7Iy0AGOFrq4vaCm89nE+wMqJzM/Y2YmlBK88/rvDTLdCexGkrK4MPvwd/+CUwMQ3XDsg+RdiDPPdv3+KPvQdPG5f+8ECvEUIpWp4dWpwetNSFtMmmmmLJSJNGYWmOgcChFmeGgwnBSbjhzsqdxJvI2kB1K8YNqD0+jKbqjJht9jlVtoZpa8zRqcrDEyYdBGTsWq2hLO5z4AfzDX8HYkL1S1jJe+4ZhkEotc7vE0DTMTsGxb8C7Hy3zhIVYPUopgspJ0HCyKdcnk2V53YavdTv47VofXkPRF7NWpAT+VUyteRhJsdnn4LdqfLJ2tVh9uw/BN3/dDuKhXnvf5CVaVgtZaxgfhrlZ6PwleO+X7a5zIcSqy/srb2+xi39W58OhoCdmrngop7TmQdik2evkXzb4qfNIV7XIAaVg97vwvf8GKmug79GSV/JaciDHotD7yN7g4pd+Azq/Za/MJYTIibztsn7RkVI3TqX445EI9yMpNviceFeg1RpKWfTHTLb6nfx39X5ZJlPk3uadUNsI534BNy7a3cqVNfYOTK/x1kBOxGFqzP5zx154/9tQVbcCJy+EWI6CCGSAgyUuypwB/moixs2FFJVORY3byMq4sqk1vTETS8OJcg+/WuWlwpX3nQdivSguhW/+BmzYDl+cgcEee2y5tByKg+B8+TJ+ZSBbJizM21XUhrLXp97XAe0H7TnQQoicU3q1BmazJGZpPpmK87OpOLMpTZVbUekycKQRzAlLM5qwCKU0LV6DH1R5OVjikt2cRP6yLBjshgc34f51uyrasuxxX68PHC6GR0eYmJhgz86dEIvY488K8BfDhq2w8wC0brG7qoUQeaPgAvm5nmiKc6Ekl0IJJpMWfoei1GlQ5FB4XtOdrbUmasGCqZlJWlhAo9ego9TNkVK3tIpFYZkPwcQITE/A+JA9dzkWZWR4mOHREfa/e8TeSaq20d7AoqIGyioz2uJRCLFyCjaQn5tOWlybT3I+lGAsYbFgapIaeDZB3AAs7GJSrcBnQJFDsdHn5Eipi/aAC59DblBijdCaSxcvcvLUKf71v/k3uT4bIcQyFMwY8uuUuwxOlHs4XuYmZGpG4hajCZPJpCZuWaQ0uJTC51DUuAzqPAa1bgd+CWGxFimF0+0mZdozEmR1OSEKR8EH8nNKKYJORdBpsD2wZn4tIZbN6XSitcayLBwyjUmIgiGDpkKsMc5nVdfLXq1LCJFTEshCrDESyEIUJglkIdYYCWQhCpMEshBrjASyEIVJAlmINeZ5ICeTyRyfiRBiOSSQhVhjpIUsRGGSQBZijZFAFqIwSSALscZIIAtRmCSQhVhjJJCFKEwSyEKsMRLIQhQmCWQh1hiXy97fWAJZiMIigSzEGmMYBoZhSCALUWAkkIVYg5xOpwSyEAVGAlmINUgCWYjCI4EsxBokgSxE4ZFAFmINkkAWovBIIAuxBkkgC1F4JJCFWIMkkIUoPBLIQqxBEshCFB4JZCHWIAlkIQqPBLIQa5AEshCFRwJZiDVIAlmIwiOBLMQaJIEsROGRQBZiDZJAFqLwSCALsQZJIAtReCSQhViDJJCFKDwSyEKsQRLIQhQeCWQh1iAJZCEKjwSyEGuQBLIQhUcCWYg1SAJZiMIjgSzEGvQ8kLXWuT4VIcQSSSALsQY5nU4AaSULUUAkkIVYgySQhSg8EshCrEESyEIUHglkIdYgCWQhCo8EshBrkASyEIVHAlmINcjlcgESyEIUEglkIdYgaSELUXgkkIVYgySQhSg8EshCrEESyEIUHglkIdYgCWQhCo8EshBrkASyEIVHAlmINcjhcAASyEIUEglkIdYgwzBwOBwSyEIUEAlkIdYo2YJRiMIigSzEGiWBLERhkUAWYo2SQBaisEggC7FGSSALUVicuT4BIUTmLK1ZIEmIhP2h48y+U82DCnBYg7hwEFRuSnFTiodiXBhK5fq0hRAvkEAWooAt6CR9zPNYh5jTCRLKxNKggGiNH7yKHj2PhUZrjULhwUGxcrGJUloppli5c/1rCCGQQBaiIE3qKA/1LL16ngWSeHAQwEmpduN41vIdWzDxplLUKN/iz1laE8ckpBOc16PcZJIWVcJWFaT6hccJIVafBLIQBSSpLe7raW7pKcKkKMZFHf5Xdj8bhoFlWS9/TSl8OPHhRD/r5r6vp+nVc7SrcnaoctzKsVq/jhDiBRLIQhSISR3lCz3OgF7Aj5N6/Kg3jAO/KpBfpJSiGDdF2sUcSS7pcYaIcJBqaS0LkQMSyEIUgAG9QJceYV4nqcKHS719goRhGEuqslZKUYobv3YyrBc4SYJj1NKiirNx6kKIJZJpT0LkuX49z+fWMFGdom6JYQxvbyF/lUsZ1OInplN8bg3To+fSPWUhRBokkIXIYyM6TJceJY5JFd43dlF/1XIDGezWchVeUlics0YZ1AvLPWUhRJokkIXIU1Gd4qIeI6KTyw5jSC+QwQ7lSrzEMbmkxwjr5LKPIYRYPglkIfKQ1pobepJxHaUK37LDGOxANs3lBzJ82VKe0DGu6Um01mkdRwixdBLIQuShARZ4oGcI8uW84uVKt4W8+PNKUY6HR3qWXubTPo4QYmkkkIXIM6a2uKEnsYCAcqV9nEwDGcCvnCjgup4kqTM7lhDizSSQhcgzw0SYIEYZmS1pmY1ABijDwzQxhpACLyFWksxDFiLPPNUhLG1ltGLWwuwcdz69wL0vbjB05hpOt5vislIat21kZ+ehZR3LpQzQ8IQQLRSnNZ4thHg7CWQh8sisjjOgFyjOoHU83j/EmT/9KTNT08QWwpgVJpYZYyoaIx6LLTuQAUpwM6TDTKs4FXjTPjchxOtJIAuRR8aJEiVFEH9aP5+IxTn3Vz8jGU9gOAxqtrTR8b1v4fK4WZgJMTc5k9ZxfTiYJc4EUQlkIVaIBLIQeWRWxwGVdrfwk6u3ic6HAdh+7ADJYg/1W9pwudIvDgN7GpTSihkdt/d2FEJknQSyEHlkghjuDGothx/1LH6uUNz46SmGzlwnUFpM666ttH9wGIczvcvejcE4UXtfZRlHFiLrpMpaiDwR1yYhHceTwWUZmpxa/PzB+atEZudIJZNEQvPcO3eFM3/2N2kv8uHBwbxOEsVM+/yEEK8ngSxEnohjksLCmcFlmYglFj/3+Lxs6tjPwe98hNtnj/uOdvcz+LA7rWO7MDCxiEsgC7EiJJCFyBMWGg0YGQzSGo4vL+mN+9tp3L6JlvZtbN7fvvj1se7+tI6tnp2jhSyjKcRKkDFkIdaQQGnxYiV1ZW01m54Fsb/0y72Nk/HEK39WCJFb0kIWIk84UChURi3Qqqb6xc/DoS/Xn4688PmL4bwcz1vvDimzFmJFSAtZiDzhxYkLgyQWvjSPsXHfLrpv3ENrzeMrtyipLAPg8dXbi49p2r4prWMnMHFh4JXbhhArQq4sIfKESxmUKw9DOkxJmseobKxj25F93D9/lUQ0xoUf/+Kl7+84doDyuuq0jh3Hokr58GawpKcQ4vUkkIXII5V46ctwq8O9H3cSrK7g0eWbzE7Y06CC1ZVsObSHtt3b0z5uAosqWaVLiBUjgSxEHgkqD2iFpTVGBotvtO3ZQdueHVk7L3vusrbPTwixIqSoS4g8UoufIpwskMz1qbxkgSR+nNSmuca2EOLtJJCFyCMB5WKDKsm7QJ4nSYsqoURltkezEOL1JJCFyDNtqgQXBjGdyvWpAPaSnk4MNqp0S82EEEshgSxEnqnCR70KME0i7XWns0VrzQxxapRfuquFWGESyELkGUMp9qoq/DiYy3HX9TxJ3DjYr6oyKjITQrydBLIQeaha+WhXFYRJktRWTs4hpS3mSbJTlVOrpHUsxEqTQBYiT+1Q5TSpIsaJYq1y17WlNeNEaVAB2lX5qj63EOuVBLIQecqlDI6oWqqUj9FVDGVLa8aIUqG8HFW1uGVlLiFWhQSyEHksqDy8r+qpUB5GiWCucChbWjNKlKDy0KnqKVeyMpcQq0XpXJdxCiHealrHOKtHGNURyvDgV9lfZC+qU0wTp0r5nr0JkDAWYjVJIAtRICI6yXU9yUM9C0AFXhxZqHy2tGaKGFrBZkrZq6ooUq6MjyuEWB4JZCEKiNaaPha4pieY0FHcGATx4FLLH31KaosQCeKYVCgv+1UVLRTL9CYhckQCWYgCFNEpepnjkQ4xRQxLW/hw4sGBB8crQ9XSmjgmcUyimChlt7K3qCCtFBOQVrEQOSWBLEQBM7XFMBF69BxjRInqJHEsvryoNWCHswLcGPiVi2q8tKkS6gngTKN1LYTIPglkIdYIS2vmSRAiwTxJUlhYaAwUDgxKcFGCm2LcWRl7FkJklwSyEEIIkQekr0oIIYTIAxLIQgghRB6QQBZCCCHygASyEEIIkQckkIUQQog8IIEshBBC5AEJZCGEECIPSCALIYQQeUACWQghhMgDEshCCCFEHpBAFkIIIfKABLIQQgiRBySQhRBCiDwggSyEEELkAQlkIYQQIg9IIAshhBB5QAJZCCGEyAMSyEIIIUQekEAWQggh8oAEshBCCJEHJJCFEEKIPCCBLIQQQuQBCWQhhBAiD0ggCyGEEHlAAlkIIYTIAxLIQgghRB6QQBZCCCHygASyEEIIkQf+/5mISyUv4qOvAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def generate_refinement_tree_node(m):\n", + " m_split = artificially_split_partition(m)\n", + " m_split_refined = list(refine_partitions(m_split))[-1]\n", + " \n", + " return m_split_refined\n", + "\n", + "for i in range(2):\n", + " m_refined = generate_refinement_tree_node(m_refined)\n", + " draw_molecules([m_refined], [\"\"], highlight=\"partition\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "Build refinement tree with BFS or DFS.\n", + "See https://doi.org/10.1016/j.jsc.2013.09.003 and https://pallini.di.uniroma1.it/SearchTree.html.\n", + "\n", + "Side note: Both atoms and vertices on the refinement tree are called \"nodes\" atm.\n", + "Call node on the refinement tree \"refinement-tree-node\" to avoid confusion." + ] + } + ], + "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": "3.12.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/tucan/canonicalization.py b/tucan/canonicalization.py index cfa13e5..ed3cf4d 100644 --- a/tucan/canonicalization.py +++ b/tucan/canonicalization.py @@ -3,6 +3,7 @@ import networkx as nx from igraph import Graph as iGraph from typing import Generator +from collections import Counter def partition_molecule_by_attribute(m: nx.Graph, attribute: str) -> nx.Graph: @@ -26,6 +27,31 @@ def get_number_of_partitions(m: nx.Graph) -> int: return len(set(nx.get_node_attributes(m, PARTITION).values())) +def artificially_split_partition(m: nx.Graph) -> nx.Graph: + """ + Artificially individualize the node with the smallest label from the largest partition. + TODO: Split with a different heuristic that makes the refinement-tree as small as possible? + """ + partitions = nx.get_node_attributes(m, PARTITION) + partition_sizes = Counter(sorted(partitions.values())) + largest_partition = sorted(partition_sizes.items(), key=lambda item: item[1])[-1][0] + smallest_label_from_largest_partition = min( + [ + label + for label, partition in partitions.items() + if partition == largest_partition + ] + ) + m_split = m.copy() + nx.set_node_attributes( + m_split, + {smallest_label_from_largest_partition: get_number_of_partitions(m) + 1}, + PARTITION, + ) + + return m_split + + def refine_partitions(m: nx.Graph) -> Generator[nx.Graph, None, None]: m_refined = partition_molecule_by_attribute(m, PARTITION)