From 62ac4a1e9389a4f17e386591eadc4c6e947d2c49 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Wed, 7 Sep 2022 21:17:53 -0400 Subject: [PATCH 01/10] removing clique graph from decomposable --- parallelDG/graph/decomposable.py | 18 ------------------ 1 file changed, 18 deletions(-) diff --git a/parallelDG/graph/decomposable.py b/parallelDG/graph/decomposable.py index 9e838a7..dc8d3fc 100644 --- a/parallelDG/graph/decomposable.py +++ b/parallelDG/graph/decomposable.py @@ -150,24 +150,6 @@ def junction_tree(graph): return jt -def clique_graph(graph): - """ Returns the clique-graph representation of decomposable graph. - - Args: - graph (NetworkX graph): A decomposable graph - - Returns: - NetworkX graph: A CliqueGraph object - """ - jt = junction_tree(graph) - cg = clib.CliqueGraph() - cg.add_nodes_from(jt.nodes()) - for n1 in jt.nodes(): - for n2 in jt.nodes(): - if n1 & n2 and n1 != n2: - cg.add_edge(n1, n2) - return cg - def gen_AR2_graph(n_dim): graph = nx.Graph() From 8e07b707adcc9754e605b0c6b344128f32e7a836 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Wed, 14 Sep 2022 21:00:35 -0400 Subject: [PATCH 02/10] some clean-up --- parallelDG/graph/clique_graph.py | 8 ++++++++ parallelDG/graph/parallel_moves.py | 18 +++++++++++++++--- 2 files changed, 23 insertions(+), 3 deletions(-) diff --git a/parallelDG/graph/clique_graph.py b/parallelDG/graph/clique_graph.py index f52cbd1..40e0b10 100644 --- a/parallelDG/graph/clique_graph.py +++ b/parallelDG/graph/clique_graph.py @@ -147,3 +147,11 @@ def separators(graph, clique): sep.add(nei & clique) return sep + + +def leaf_nodes(graph): + """ Returns a set of the leaf nodes of graph + Args: + graph (NetworkX graph): a clique-separator graph + """ + return [x for x in graph.nodes() if graph.in_degree(x) == 1] diff --git a/parallelDG/graph/parallel_moves.py b/parallelDG/graph/parallel_moves.py index c861a02..eed0551 100644 --- a/parallelDG/graph/parallel_moves.py +++ b/parallelDG/graph/parallel_moves.py @@ -14,6 +14,18 @@ def leaf_nodes(tree): return [x for x in tree.nodes() if tree.degree(x) == 1] +def subtree_induced_by_subset(tree, s): + """ Returns the subtree induced by the set s. + + Args: + tree (NetworkX graph): A junction tree. + s (set): Subset of the node in the underlying graph of T. + """ + if len(s) == 0: + return tree + v_prime = {c for c in tree.nodes() if s <= c} + return tree.subgraph(v_prime) + def boundary_cliques_node(tree, node, return_sep=False): """ Return boundary cliques for a specific node @@ -24,7 +36,7 @@ def boundary_cliques_node(tree, node, return_sep=False): the probability of the inverse move. """ dumble = False - T = jtlib.subtree_induced_by_subset(tree, node) + T = subtree_induced_by_subset(tree, node) if len(T) > 1: # num of nodes is 1 boundary_cliques = leaf_nodes(T) else: @@ -50,7 +62,7 @@ def neighboring_cliques_node(tree, node): empty_node (bool) if empty cliques should be included """ anchor_clq_pairs = list() # format ((anchor, clq1), (anchor, clq1), ()..) anchor in T, clq not in T - T = jtlib.subtree_induced_by_subset(tree, node) + T = subtree_induced_by_subset(tree, node) # nei_cliques (connect move) for subnode in T: # subnode is not necessary a boundary clique for nei in tree.neighbors(subnode): @@ -258,7 +270,7 @@ def revert_moves(tree, node, cliques): connect(tree, nd, X) else: # empty node X = node | nd - T = jtlib.subtree_induced_by_subset(tree, node) + T = subtree_induced_by_subset(tree, node) conn = list(T.nodes() - cliques)[0] connect(tree, nd, X, conn) From d0b235c2e4ddc879f5bd7e47b12e3019f9d7a716 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Wed, 14 Sep 2022 21:01:15 -0400 Subject: [PATCH 03/10] adding clique separator graph --- examples/Clique-separator-graph.ipynb | 808 +++++++++++++++++++++ parallelDG/graph/clique_separator_graph.py | 687 ++++++++++++++++++ parallelDG/mh_clique_separator.py | 526 ++++++++++++++ 3 files changed, 2021 insertions(+) create mode 100644 examples/Clique-separator-graph.ipynb create mode 100644 parallelDG/graph/clique_separator_graph.py create mode 100644 parallelDG/mh_clique_separator.py diff --git a/examples/Clique-separator-graph.ipynb b/examples/Clique-separator-graph.ipynb new file mode 100644 index 0000000..31d04ed --- /dev/null +++ b/examples/Clique-separator-graph.ipynb @@ -0,0 +1,808 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "peripheral-asbestos", + "metadata": {}, + "source": [ + "# Clique-Separator graph prototype\n", + "\n", + "Attempting to create a sampler using Clique-separator graphs introduced by Ibarra (2009). \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "5b3e9d28", + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "import sys\n", + "sys.path.append('..')\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "import time\n", + "from parallelDG.graph import trajectory\n", + "import parallelDG.graph.graph as glib\n", + "import parallelDG.graph.decomposable as dlib\n", + "import parallelDG.graph.clique_separator_graph as clib\n", + "import parallelDG.graph.junction_tree as jtlib\n", + "import parallelDG.distributions.g_intra_class as gic\n", + "import parallelDG.auxiliary_functions as aux\n", + "from parallelDG.distributions import discrete_dec_log_linear as loglin\n", + "import parallelDG.mh_parallel as pdg\n", + "from networkx.drawing.nx_pydot import graphviz_layout\n", + "\n", + "import parallelDG.mh_clique_separator as pcs\n", + "import parallelDG.mh_parallel as pdg\n", + "sns.set_style(\"whitegrid\")\n", + "options = {\n", + " \"font_size\": 8,\n", + " \"node_size\": 100,\n", + " \"node_color\": \"white\",\n", + " \"edgecolors\": \"black\",\n", + " \"linewidths\": 1,\n", + " \"width\": 1,\n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a4b7a09d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ibarra_graph = [(0,1), (1, 2), (2, 3), (1,3), \n", + " (3,4), (4, 5), (3, 5), \n", + " (5,6), (6, 8), (5, 8), \n", + " (6,7), (7, 8),\n", + " (6,3), \n", + " (3,8), (3, 7), (3, 6), \n", + " (8,9), (3,9), \n", + " (1,9), (1,8), \n", + " (3,10), (8,10), \n", + " (3,11), \n", + " (11, 12), (12, 13), (11, 13), (11, 14), (13, 14), \n", + " (11, 15), (11, 16), (11, 17), (11, 18), (15, 16), (16, 17), (17, 18)]\n", + "G = nx.Graph(is_directed = False)\n", + "G.add_edges_from(ibarra_graph)\n", + "G.add_node((19))\n", + "G.add_node((20))\n", + "nx.draw(G, with_labels=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "38a40c08", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "jt = dlib.junction_tree(G)\n", + "node =frozenset([11])\n", + "nx.draw(jt, with_labels=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "e2670f58", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize = (12,12))\n", + "cs = clib.clique_separator_graph(jt)\n", + "cs.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "073d9577", + "metadata": {}, + "outputs": [], + "source": [ + "node = frozenset([3])" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "e63c63d3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "induced_graph = clib.subgraph_induced_by_subset(cs, node)\n", + "induced_graph.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "impossible-grace", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "frozenset([11])\n" + ] + }, + { + "data": { + "text/plain": [ + "{0: [],\n", + " 1: [[frozenset({3}), frozenset({1, 3}), frozenset({1, 2, 3})],\n", + " [frozenset({3}), frozenset({1, 3}), frozenset({1, 3, 8, 9})],\n", + " [frozenset({3}), frozenset({3, 8}), frozenset({3, 8, 10})]],\n", + " 2: [],\n", + " 3: [[frozenset({3}), frozenset({3, 5}), frozenset({3, 5, 6, 8})],\n", + " [frozenset({3}), frozenset({3, 5}), frozenset({3, 4, 5})],\n", + " [frozenset({3}),\n", + " frozenset({3, 8}),\n", + " frozenset({3, 6, 8}),\n", + " frozenset({3, 6, 7, 8})]],\n", + " 4: [],\n", + " 5: [],\n", + " 6: [[frozenset(), frozenset({20})]],\n", + " 7: [[frozenset(), frozenset({19})]]}" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "print(node)\n", + "clib.neighboring_nodes(cs, node)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "juvenile-condition", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([(frozenset({11, 16, 17}), frozenset({11, 17})),\n", + " (frozenset({11, 13, 14}), frozenset({11, 13})),\n", + " (frozenset({0, 1}), frozenset({1})),\n", + " (frozenset({20}), frozenset()),\n", + " (frozenset({19}), frozenset())],\n", + " 0.0)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "clib.connect_partition(cs, frozenset([3]))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "bea1a865", + "metadata": {}, + "outputs": [], + "source": [ + "p = G.order()\n", + "sigma2 = 1.0\n", + "rho = 0.9\n", + "n = 100\n", + "delta = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "91ab3f32", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of edges 34, number of nodes 21\n", + "loglikelihood 548.644835\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(2) # generates same data as in the paper\n", + "aux.plot_heatmap(nx.to_numpy_array(G), xticklabels=10, yticklabels=10)\n", + "ar_cov_mat = gic.cov_matrix(G, rho, sigma2)\n", + "ar_df = pd.DataFrame(np.random.multivariate_normal(np.zeros(p), ar_cov_mat, n))\n", + "print('Number of edges {}, number of nodes {}'.format(G.size(), G.order()))\n", + "print('loglikelihood {:2f}'.format(pdg.ggm_loglikelihood(dataframe=ar_df,\n", + " graph=G,\n", + " graph_prior=['uniform'], \n", + " delta=delta)))" + ] + }, + { + "cell_type": "markdown", + "id": "8d914cdb", + "metadata": {}, + "source": [ + "## Parallel Clique-separator graph" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "faefa181", + "metadata": {}, + "outputs": [], + "source": [ + "n_samples = 50000\n", + "randomize = 100\n", + "graph_prior = ['uniform', 2.0, 4.0]\n", + "delta = 5.0\n", + "burnin = 200000\n", + "seed = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "dc7fb10e", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 49999/49999 [01:39<00:00, 503.64it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 65046 updates, for an average of 1.30 per iteration or 655.15updates/sec\n", + "Acceptance rate 0.1150\n", + "Time taken 99.40sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "tic = time.time()\n", + "traj = pcs.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed)\n", + "toc = time.time()\n", + "print('Time taken {:.2f}sec'.format(toc-tic))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "f99b26d6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,0,'Sample number')" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "aux.plot_heatmap(nx.to_numpy_array(traj.maximum_likelihood_graph()), xticklabels=10, yticklabels=10)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "b96ba64a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nx.draw(traj.maximum_likelihood_graph(), with_labels=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "59be147b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "traj._size=None\n", + "traj.graph_updates = None\n", + "traj.set_graph_trajectories()\n", + "traj.size().plot(color = 'black')\n", + "size_mcmc_index = list(traj._size)\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Number of graph edges')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "thousand-aviation", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Auto correlalation plot \n", + "burnin = 1000\n", + "lag=1000\n", + "aux.autocorrelation_plot(size_mcmc_index[-burnin:], label = 'Clique-Separator', color = 'black', lag =lag)\n", + "plt.legend()\n", + "plt.ylabel('Graph size autocorrelation')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "beb85475", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 49999/49999 [00:10<00:00, 4968.53it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 94030 updates, for an average of 1.88 per iteration or 9336.32updates/sec\n", + "Acceptance rate 0.4152\n", + "Time taken 10.08sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "tic = time.time()\n", + "trajp = pdg.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed)\n", + "toc = time.time()\n", + "print('Time taken {:.2f}sec'.format(toc-tic))" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "510906a2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(400, 600)" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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g8iDKhxdWeZn8z5rK008/nfWPVzDd+++/n7Buy5Yt8XWHHHJIQtrFixfH06lqpC/npEmTUh7fbwIaZcrm3I4cOTLrf6JPPvnE3X777Vlt071799C4Zs2aFb+azDS99957Gd/nvffeW229Pz9z5szQc/HFF1+kPV+PPPKIcy72I3vGGWdU237IkCGh8fo//LNmzUpYHlbxm07jxo0dkPJ7dM011yTE7FxiU07nnPvhhx/Sflf8GHfeeWfnnHNr167N+nvhT5maOgf/b9q2bZuw7ogjjkh5PoJ3u6n89re/rXHcEK04dNOmTRn3YxlEHkT5ADt16pQxTSphV+Bt2rRJmT75Si/2mVdZtGhRyhhGjx4dT/fFF19Eem8TJkyo0TlJ9f4XLFjgxo0bl3Y/++yzT42O0ahRoxrHVdP3d80112S1v+Rl/t1l8n5feumleNotW7Yk3PH509SpUxN+2ILToEGD0r7nKO9t/fr17pFHHgm9Sy0uLnaAu+qqq0K3vfrqqxOOk/zddM65JUuWpP1MPv3004RlwYzWn0pKSiK9Fz8jnjt3brX/GeecGzNmTEL6ESNGxNNH/Ww7dOjgvvrqq2ppevToUaPvc3BKV+Q3fvz4SPuwDCIPtvWD9afNmzdH3v+wYcNSxrNhw4aEtOXl5Qnr33rrrZQxjB8/Pn6727p160hxv/HGGzk5Jz7/uMF//kJODz74oLv11ltz9pn36dMnbZn5JZdc4r755puE+pCwY44fP979/e9/d845N3z48JSf59ixY0PXtWnTJmWMfmVspsn/QX788ccT3k+Uhgmp3ldwXbCCOjgNHjzYTZw40c2YMSMhfdh3tk+fPpFi+eCDDxLiSfbQQw+Fxhhsnhom1XvzBYuQP//884Tm7NlMv/zlLyMfP9VkGUSOpSojrckUdiXuXOoP2P9CrFu3LqFd9vr16xPS+WXYvpkzZ6aNI1WRVqoprHisJu8/edtDDz00Z+c2F9O2vr/kacuWLc658Fv/k046ye2www6R9jNq1Kh42XhtT/6P75lnnplwflavXh1p+5UrV6Zct2DBAjdv3ry025eVlcVfpyqO8ot/Mk377LNPwmeb7B//+Ee1bQYNGuSef/75lNtkqkNxzrnmzZvHl//3v/+tdoFX0+9oNt9V//tjz0Hk2LRpuRvcLpv22BBrvw6xdvu///3v48tXrFiRdrvg8xphJkyYkFUcueoxNnk/yU8m50OUp7nzZciQIVRWVsafJwmqrKyMfF4HDRpUsM7npkyZAsTa0K9bt47XXnsN5xxbt0Yb06tRo0Yp102ePJn58+en3T54jjp06BCaplu3bpFimTt3Li+99FJ8/tRTT8U5x7PPPsu6devo3LlztW1GjRrFX//61/j8unXreOmllxg/fjwvvvhipCf9g59/06ZNady4caR4M1m5ciUHHXRQxnS9e/emZcuW2e08Si5SV6favIN45JFHcnY1NmbMmHjZu3POrVmzxjkX/WrVN3jw4ITlH330UULMuYrXn4Jl4TNmzEjZIsNvtplq6tq1a6SKtFxNF1xwgXvzzTezOr+1FVt9niZOnOjmz58fKW3w6jt5evHFFzNu/5///Cdjmvfffz9h/rbbbkuZ1m955U/B4tjk/fjTZZddFn+dqil48pTq/9FvQZZqu6+++qpG+02e/Gbwe++9t3POxVsFRr2DSDuinIj8yztQKFU9Kd32DUny1V+HDh1SPuWayeDBg6moqGDUqFF06tSJPn36cMcdd2S9nyVLliTMR72aq6ngVVyPHj1SpisrK0vbE+XXX38d73EzqGXLlqxbt27bgkyhf//+ednv9mzkyJH84x//iJT2rLPOSrnu7rvvzrh9lLusHXfcMWE+Xe+9r732WsL8pEmT4q9T9Xg8Y8aM+Gu/X65MnHOh/wutW7dOu12u+vaaOHEiF1xwQbx/tJkzZ2a1faYipruAu4GvgA3ASG9aC2R8Zl9E5ovI5yIyQ0Sme8v+KiJzROQzERktIm295XuKyAYv7QwReSSrd5Jn69evT5j/1a9+FX89a9asrPblFzENGjSIPn36ANkVgXz99dd88cUXvPfeewnL8z1okF+8Efbj7kvVNUaya665ptqyAw+sNkJtWvvss0+kdNl+Ppn++U899dSE+d69e2e1/4YiauaQyfTp0+OvUxW7RPluJ3cFE+x40O+oMpU777wz/jrYfXjQf/7zn/jrQYMGZYwHqv7XkzOJZs2aAXDAAQdU26ZFixZArFgrlZ/97GfVLhDDNGrUiKeffjrtBV1aUW4zSkpKqt2OhC0LSTO/pKRkp6Rlx5aUlOzgvf5zSUnJn73Xe5aUlMyMEo8/1WYRU3IT1Hbt2rlHH33UtWjRolaLS9JNzz33nFuzZk286+lc7ffPf/6zg9hDSuXl5e7DDz9MmXb+/PnOOefefvvtrCvBo1Yy+tNnn30Wf71w4UL39ttvp70lv/TSS6stT/WMQLrp4IMPTpgfOHBgzj/LxYsXu1/+8pe1+v3Zfffda/V4YdNZZ50VunzixIlptzvkkENcRUVFfP6dd95J+B9wLrx1UtiU6sHCmkyzZs2q1hzdj8cXfPBz+vTpbsaMGc45l/ahVcAddthhGf/Pk/nPQ+W6krqliOztz4jIXkCWtR0xqjpRVf3LgalA9RqhOqhdu3YJ8xs2bODiiy9m3bp1kSqbamNgmbPPPptWrVqlvVo48sgja7RfgIULF3LEEUdw4YUXpkzr39YfddRRnHvuuVkd55hjjskqfbDis3PnzuywQ9oSU+677z6WLFnCjTfeGF8WrHiM4tJLL03oaK9r165cfvnlWe0jik6dOtW4Q8B0nnzySd59993Qdb/97W9zeqw//elPWW9z4oknhi4Pq+D3OeeYNm0aTZo04ZJLLuGKK64I/Z5H/e7ncnTG4cOHc9ttt0VO37Nnz/id9FdffZU2baZBwsKGIxg7dmxWxdnp/6OqXANMFpF5QBGwB3BxhO0cMFFEHPCoqj6WtP5XwMuB+b1E5BNgNTBMVd8jjcrKyvg4tPmW3Md8kyZNsjp2Nj2hbqs5c+akjG3EiBHsv//+We1v6dKlCa+D88mSj9u1a9fIQ32efPLJDBs2LHJcwRY95eXlLFy4MFJcxx13HH/+85+59NJLsxru8e677+b444/n/PPPjy+bMGFCtSKJLl26pI3lqquuyjikanl5eV6+M+vXr2ennXaqtvwPf/hD6A9jr169atyC7+STT2bo0KFZbdOuXTvuv/9+rrrqqoTl6YqIgp+tv13y97C8vDxh1LZ0gp/vtnr55ZdD6xuC8X3//fehy4NFnf369as2wuOCBQu4/fbbUx772muvDf0dOOWUU6oVmacU5TbDxYqAmpaUlBzoTU0jbrO797djSUnJpyUlJYcH1v2+pKRkdElJSVFg/x281z1LSkoWlpSUtE63/9osYiLp1m3w4MFp1ydPwacwM01jx44NbYudzZQc01577ZUx1lWrVrl33303Pq+q8T6bsjluUNTWHmEx+9M111zjpkyZ4k4++eT4Mr9PneC26draJ/v222/jXS60b98+q/cWHBfCuerdRPTt27dG7zM5zXPPPZcx3c0335z2gcjkye9PK3n52rVrE3oR9qdly5ZF2u9FF11Uo/eZPM2fPz/yw3epPtuw/0vnwkctLNQU9N133zmo6kbEF+y88LzzztumYyTLaRGTiDQGfg3c7E0XecvSUtVF3t+lwGigl7e/84CBwFle/y2oaoWq/uC9LiNWCV4SJb58C46P/D//8z8AWV0ZPfnkk+y9995Mnjw5UvoBAwZErgRL5Yknnoi/fvHFFyNV1LZu3Zq+ffvG24E3a9Ys0rjYvr/97W/VlrVt2zb+OsoIfH5x3a9//euE/fbu3Ts+0tYzzzwT2p67TZs2kUf523XXXeNX6Mcdd1ykbXzJrWWCFZDnn38+I0eOzGp/qZxxxhkZ0xQVFdGvX7/QCs2LLrooNH2Yli1bhl7ppnt+ISi5xVC6CtZ0Kisra/Vuuy7o0KEDhxxyCE8//XTC8mBDmFheV/uifhIPAz2Bh7ypp7csJRFpKSKt/NfAscBMETkeuAE4SVXXB9LvLCKNvNd7A92AedX3XLvWr1+fUBwwfPhw5syZw49//OPI+/BvWbMdhDxqU7eHH67+UQTrCVq3bk3z5s0jH9ePM9t4g0ONBu29d6z6KrmYzte9e/f4wCxz5sxh7NixoU0fO3fujHMu7aD2t99+e0LLkEMOOYTFixenjdtvURKV/2PoN90MnqfBgwfTsWPHrPaXSpQfSj/NaaedxsqVKxOK/04//fRq6dN9pn7rmaBGjRpVaxIaJrlYxh9A6+CDD864bdCmTZuySp9PYecjF/wHX32NGjVi2rRpnHDCCQnLk+s9M0kulsuFqBnEIap6rqq+7U3nA4dk2GYXYIqIfApMA95Q1QnACKAVMCmpOevhwGciMgMYBVyiqrmrLaqhDz74IGH+mGOOQUTSbpPqHztV++qg4BV71CvbIUOGpF2f7iowrEK7pqPUpfrx8fcTVvYNsN9++3HZZZcBscxkwIABkZvLJv8Tl5aW8vLLL7Nq1SqWL1/OtGnTqo3ul+yKK65Iu/7222/nk08+ic/fcccdPPHEE/F/9OD77tGjR8bK8kyuvPLKastSPQEbPHabNm0S7m7C4kiX6YQ1tigqKqrWrDeZc67atv6xs22c4V8UHX/88WnT9ezZM6v9+v773/9GTvvmm2+y++671+g4r776asp1fqOPTPzSCoj2v9ipU6caPU+VVpRyqJKSko9LSkr2CczvXVJS8nGUbfM51UYdBBHL9YJpjjzySHfTTTdV2+add97JWG4Y7L11+fLl7uqrr3ZDhw5Nu02qvmn8ye8LKCzWsC6K/f5a/CarYecheUo3op0/Klyq93H66adX2ybYt006ixYtqvYEebZjD/tlwKmmTIJdvK9cuTLjoDDOuWqD6wSn4JgF/rLS0tLQtP/+978TYgk2uf7ggw+qpX/99dcT9huMKazjPn+sjwceeMB5jU1Ct02uq/Drd7Ids8GX/KRz8uTXJ4R9d4KC+/W/F1FjmTp1asa+r0488UQHuOuvv96tX7/e7bfffg4Sm2Bn+30Kiz9Kk+ehQ4fG62+KiorS7jfXzVx/C7wjIpNF5N/A28B1EbfdLiQ3SazpU83BK8J27dpx7733ZrzVTXcretppp6W9gwhruXLssccCRK5/KCoqStv0tV+/fgDVbqF9YU9PRy3e2m233bIuxkjmX+0m37VE6V8Hql/FN23alPLy8rRFW+k+0+DdwuzZs5k1axZPPfUU3bt3T0g3d+5cDj/88IRlwbuGsGLQYB9Eyfxtg/vwv8dXXHFF/KFOoNpdWfKdiT8fVkwapRXdeeedl3a9iLB8+fKEcc9zrUWLFvHxwVM59thjmTNnDn/605+yKsaNyn+g1EW4g+jYsSNFRUW0atUqZ2NpR8ogVPUtYnUCVwFXAqKq7+Qkggbi+++/Z+LEiUDswwzLILIt0/dlKpctKiqK/6gny/RUcFhF5ogRI5g7dy7t27ePFF/wuYAwDz/8MKqaUGEd9MYbb0Q6Tr74xSPJRYDvvPNOxidwIfxz3Xfffdlll12yjiU5UyotLaV79+4ceuih1RoahP0gBWMJuzDwm/WGNSjwM4ZDDz2U2bNnc8sttyR8ZsEM9NlnnwWq6m+CGUSw/X6wqEhE2LJlS6TOGU888cTQOhSAvn37UlxcTLt27TI+g/Thhx9W+5EP64wvTJQK+mbNmiEi21ysmIqfyTvnuOiiizjkkFjJflhPBOPGjaOoqIjVq1dz6aWX5uT42bZiusWbIrViqq8WLlxIUVERkyZN4kc/+lGkbRo3bpzwZc3mDiL4oFXYleW4ceMy7iNV2XJYtwHBFiZdunQBYo/u+5o0aRKvWI4i0xVhkyZNKCkpSWjpEpYxhclUFp0L/j938CpNRCgpKYn0cFWqc19UVESvXr2yiqVr166R06a64DjvvPMYP358PK7gD6L/vbzmmmuqXZX656GyspLS0lJuu+22hGMEH3z06zr8OqxguuS7hnvvvZeioiLKy8tp1KhR5B/TW2+9tdqy0aNH8/oV/wciAAAcVElEQVTrr0faHmLPcSSf0/fee4+OHTsm3BGFiXJB5/9gR3XXXXdllT4Yw2OPPca0adOoqKgIbcSRjzuYqHUQj5eUlDxTUlLSz5ueKikpeTzKtvmc8lEHsXbt2ngXEYMHD642JnI6/sA3F198sbvwwgurbRMcjzh5nd+O/OCDD6623+RtwvaRrgfVMF26dHEQG6xn4MCBGQemTx6MJjjedqZy4KAHH3zQ/etf/3IVFRXu2muvTRvjmjVr3KZNmyLv25dtHYRfbt+oUaN475f+mAFRvf/++wnjfPt++OEHN3nyZOecq/Zex40bF19WUlLibrnlFrdgwYK0x/noo4/cfffd55o2bRppfOK//vWv8fGcIfF5GD8+v2fRSZMmOcB169YtdF/Tpk1zgNt3331dRUWFO+200+Kjs61ZsyZyGXu65xyCgsOSRt13OmHfi+C5OeWUUxKOVV5eHhrjzTffnDKecePGuZ122im0jmnvvfdOGOo3Cn9Qofvvv7/auuT9B0eJzCSnAwaVlJR8GmVZbU+5ziDChmz86U9/Gn+driLWN2nSpGoDgfj8B5qCFY6+DRs2uN69e1ercHXOue7du8fTf/7556H/NOn6AwozZcoUd8IJJ6Qc3S7MCSec4CDW55NzscrZn/zkJ27OnDmR9xHk/wAMGDCgRtunkm0GUVlZ6fbaay/3zDPPJAzqkmth+/WXpRtadlskV8zedNNNKdP6FzD7779/6Hq/0rtXr17V1gV/EKMI+54mP3y6fPnyvGcQwVguuOCChGOpavwBteBY36+88kqkeJIv2mrqiy++SBgoLDluf1qyZEnkfea6knqriMS7zvSeU8hv39J5smLFCg444IDQR9DDKsb8PmBWr16dtiLWd/TRR6dsV+/3SBnWdK5Zs2ZMmTIltMLV31/Tpk3jxQalpaUJabLtxrd379688cYbWZWdPvfcc4wcOTLe/r9169Z88MEHGZv9ptKpUycmTZrE888/X6Ptc6WoqIh58+ZxzjnnxJsMR3lILZf8ivx8S9XXEVRVjrsUFaL77bcfrVq1Cu3eIduH2x555JH4IES+5OLcbJ8D2FbJxbtFRUU8+uijzJs3L+E7HvUh1lw98NetW7fQ4q7BgwfHX5977rk1qvPKJOqvg9+KKdgXU+46LKkl77zzDrNmzWLmzJkMHz6cF198MWF92NOfM2bMYLfddsvqiWKAPn36MGXKlHj7foCdd94ZiD08lGm0t6A5c+YAcP3111NSUsKQIUO48cYbE1qpZNOnUE21a9cuUiaZDf+BqrrCz7yTM+B8e+aZZ/K6/3nz5vHwww9z2GGHZUyb6qn7Vq1asXr16tB12f4YBp+Uh9jzRmHl+U2aNKm1h+cOO+wwHnjggfh8UVERTZo0Ya+99kpoiFHTxia59swzz9ClSxfat2+f8iHVbRblNsO5eF9JP/KmSH0x5XvKpogpuUvuE088sVqafffdN6timnSuvPJKB7HB3oOmTp2a0P1vFH6b6m+//TZheXAfwaKRbY29vsu2iClo1apV7le/+lW8/X8uLVu2zC1btixhWb4/o2zOxahRo2ocT7bfaV+mbXL5Xc5UxPTRRx8lHOubb76Jp5k+fXpCDFHiOfLII+PpWrduvU2x51o+xqTuCewP9AB+ISKp+zuog5J7L1y2bBnOOZYvX86VV17JmjVrMrZqyIZ/pZbciuXQQw/NukncAQccgHOOXXfdNWWadN0hm+hat27NE088kXHEr5ro0KFDtfGUn3766Wq9dBbKtrSCaQj9JwWfzp48eXJCUXBNntx+4YUX6NatG4MHD440uE9dFOmXSkT+DuwDzKCq7sEBz+YprpxLLk764IMPuOeee1i/fj0jRoygtLSUZcuW5ex4Q4YMoX///vFipTCZuoCoqUmTJjF06FCmT5/OI4/UqYH5TJJsx8zIJ78YpSZl2X6xS7ZjSpxyyilZNVvNp6KiIjZv3szmzZtDM8unnnqqWgafzq677soXX3yRyxBrXdRL2YOB7n7Pq/VRsM913+OPPx6vFM7HoC/pMofly5dnfMCspo4++mhatmzJ+eefn7EfHWN8/o988hPbUbd1KSq30xk9enTa9bfffjs333wzQOTekLMVrOfYYYcdUt7hZ3q6uyGKel84E8jP5W4tCXsqcsuWLdV6Vqwt7dq1S9kBW00EuwYG+OlPf8qcOXNy1rOoafj8ivm6dFfz+9//Pv46SmeXNbFkyZKMPf4mawhFalGkvYMQkX8RK0pqBcwWkWlAhb9eVU/Kb3i54z8xHJRNz451UVFRUXyYzmOOOYYnn3yywBGZ+my33Xar0V1APgVbDEXtIiNbNWlOu2zZsoQRDRuqTEVM2T0XXoel6mq6PgteUdX0WQRj6ouwi7xCqe1nNAolbQahqv+urUDy7YUXXih0CHkVdeQvY+qrbAd2MtsuUxHTFFXtIyJriBU1+YqIPYqe+7aAeZLPboHrAssgjDG5lukOoo/3N7vHiE2t214qzYwxtSfTHUTaAQHqwpCgxpiGbfLkycyePbvQYWyXMlVSlxErWgrrfMQBaQcNEJH5wBpiD9dtUdWDvUznZWBPYD5wuqquEJEi4D7gBGA9cJ6qfhz1jZiYfA20bkyhHHHEEVmPbW1yI1MR0145OMZRqhp8RPkm4C1VvVNEbvLmbwR+RmzUum7AocDD3t+Cqy/PEqxdu7bOdCRmjKn/oo4oVyQiZ4vIzd58VxHJbqisKicDfteVzwCnBJY/q6pOVacCbUUkdedDtcjvTbWua9mypd1BGGNyJmpXGw8BlUA/4HZixUavApnG23PARBFxwKOq+hiwi6r6jy0uAfyOX3YHFga2/cZblvIRx8rKytBxHXLhwgsv5PHHHwdg8eLFdb6zrY0bN+btXNQ3di6q2LmoYucie1EziENV9SAR+QTAqzOI0pFQH1VdJCIdgUkiknAprqrOyzxqpLi4OHK//d26dWPLli107Ngx7aDpHTt2ZOnSpfTv359ly5bRsmXLGvVNU9vKy8trfQyDusrORRU7F1XsXFQpKyuLlC5q28jNItII71kIEdmZ2B1FWqq6yPu7FBgN9AK+84uOvL9LveSLgOCjkp29Zdts8uTJbN68mf3335+pU6emTXvRRRcBsSevR48e3eCfnzDGmFSiZhD3E/uB7ygifwSmAH9Kt4GItBSRVv5r4Fhinf6NAfzewM4F/um9HgOc49V3/ARYFSiKqrE//vGPHHXUUcyfPz/+rECqPlROPfVUbr31VsaOHVvnRjozxpjaFimDUNXngRuIZQqLgVNU9ZUMm+0CTBGRT4FpwBuqOgG4EzhGRP4LHO3NA4wD5gFfAiOBy6rvMpqvvvqK+++/n8rKSoYNGxZf7o/3kNyd7913383mzZsZNWoUjRs3ZsCAATU9tDHGNBhRBwy6QFWfAOYElt2pqjel2kZV5wEHhiz/AegfstwBORmUYe+9Y49nPPTQQwnL33///dD01157bS4Oa4wxDUrUIqbTROQsf0ZEHgRSj4ZTR6hqxjTZDv9pjDHbi8gZBHCeiJwhIs8Qeyr6gjzGlXejRo0C4MQTTyxwJMYYUzelzSBEpL3XNUZz4EJi9RBrgNsy9dNU1w0YMIBf/OIX3HPPPYUOxRhj6qRs+mLy/w7wpox9MdVlzZo146WXXip0GMYYU2fVRl9Mxhhj6qFM3X33U9W3ReTnYetV9bX8hFVzixbl5Nk6Y4zZ7mUqYjoCeBsIq8l1QJ3LIHr1qmkfgsYYY4IyFTHd6v09v3bC2XbffvttoUMwxpgGIVMRU9onyFT1b7kNxxhjTF2RqYip3o1F3aRJEzZt2lToMIwxpt7LVMR0W20FkistWrSwDMIYY3Ig6pPUcSJSp8eJXrlyZaFDMMaYBiHrDILYw3J10rx580KXt2jRgtNPP50vv/yyliMyxpj6qyY91b2R8yhyZJ999gldvt9++/Hyyy/XcjTGGFO/ZX0HoarDMqeqW1q0aFHoEIwxpt6JOh7EGrzhRgNWAdOB67yxHwpq+fLlKdddc801tRiJMcY0DFGLmO4FvgFeIFYHMQTYB/gYeBI4Mh/BZSNd5XTjxo1rMRJjjGkYohYxnaSqj6rqGlVdraqPAcep6stAuzzGF9nWrVurLfOHDq2srKztcIwxpt6LegexXkROB0Z584OAjd7r5KKnBCLSiFhR1CJVHSgi71H1AF5HYJqqniIiRwL/BL7y1r2mqsMjxheaQeyyyy5ArGtvY4wx2YmaQZwF3Af4gzx/AJwtIs2BKzJsezVQDrQGUNW+/goReZVYpuB7T1UHRowpwerVqxPmTz31VO677z569uxJ//7VhsA2xhiTQaQMwquETjU255RU24lIZ2KDC/0RuDZpXWugH5CTjgBfeeWVhPlnn32WHXfckcsuuywXuzfGmO1O1FZMnYEHgN7eoveAq1X1mwyb3ktsmNKwPp1OAd5S1eCl/09F5FPgW+B6VZ2VbueVlZWUl5cDsHHjxoR1CxcuzBBaw7Jx48b4udje2bmoYueiip2L7EUtYnqKWAumwd782d6yY1JtICIDgaWqWubVLyQ7A3g8MP8xsIeqrhWRE4DXgW7pgiouLqa0tBSAgQMH8uCDDwKxOgd/+faivLx8u3vPqdi5qGLnooqdiyplZWWR0kVtxbSzqj6lqlu86Wlg5wzb9AZOEpH5wEtAPxF5DkBEdgJ6EXgq22sdtdZ7PQ5o7KWLZMWKFfHXNiaEMcZsu6h3ED+IyNnAi978GcAP6TZQ1aHAUADvDuJ6VT3bWz0IGKuq8XIhEekEfKeqTkR6Ecu80h4jqHnz5vHX7drViZa3xhhTr0W9g/gVcDqwBFhM7Af+vG047hCqMhvfIGCmVwdxPzBEVdM2oQ1yLnJSY4wxEURtxbQAOCm4TER+Q6wSOsr2k4HJgfkjQ9KMAEZE2Z8xxpj8q0l33760w5HWNruDMMaY3NqWDKLOjgthjDFm221LBlGnLtntDsIYY3IrbR1Eim6+IXb30DxkecG9/vrrhQ7BGGMahLQZhKqGPQFdJ/l3EHvvvXeBIzHGmIZhW4qYjDHGNGANLoMoKrK6c2OMyYUGk0FYJbUxxuRWg8kgfHYHYYwxudFgMgi7gzDGmNxqMBnE6NGjgfChR40xxmSvwWQQL730EgBr1qwpcCTGGNMwNJgMwrfDDlF7MDfGGJNOg8sgvvjii0KHYIwxDUKDyyAWLVpU6BCMMaZBaHAZhDHGmNxocBlE165dCx2CMcY0CA0ug9hpp50KHYIxxjQIeW/yIyKNgOnAIlUdKCJPA0cAq7wk56nqDBEpAu4DTgDWe8s/zvZ4xxxzTG4CN8aY7VxttAm9GigHWgeW/VZVRyWl+xnQzZsOBR72/ma0efPm+GvrasMYY3Ijr0VMItIZGAA8HiH5ycCzqupUdSrQVkR2jXKcV199dRuiNMYYEybfdxD3AjcAyQMP/VFEbgHeAm5S1Qpgd2BhIM033rLFqXZeWVlJeXk5n332WXxZeXl5jkKvXzZu3Ljdvvdkdi6q2LmoYucie3nLIERkILBUVctE5MjAqqHAEqAJ8BhwIzC8JscoLi6mtLSUTp06xZeVlpbWOOb6rLy8fLt978nsXFSxc1HFzkWVsrKySOnyeQfRGzhJRE4AmgGtReQ5VT3bW18hIk8B13vzi4Auge07e8uMMcYUQN7qIFR1qKp2VtU9gSHA26p6tl+v4LVaOgWY6W0yBjhHRIpE5CfAKlVNWbwUtHHjxty/AWOM2c4Vome750VkZ6AImAFc4i0fR6yJ65fEmrmeH3WH69aty3WMxhiz3auVDEJVJwOTvdf9UqRxwOU12b8NFmSMMbnXIJ6kbtq0aaFDMMaYBqdBZBCNGzcudAjGGNPgNIgMolmzZoUOwRhjGpwGkUFUVFQAcPbZZ2dIaYwxJqoGlUE89thjBY7EGGMajgaRQWzcuJHi4mIrajLGmBxqEBnE8uXL2WGHHawnV2OMyaEGkUGsXbuWTZs2FToMY4xpUBpEBtGqVSuaN29e6DCMMaZBaRAZhHOOli1bFjoMY4xpUBpMBmH1D8YYk1uWQRhjjAllGYQxxphQlkEYY4wJZRmEMcaYUA0mgygubhBvxRhj6owG8ataWVlpdxDGGJNjDSKDsCImY4zJvbwPOSoijYDpwCJVHSgizwMHA5uBacCvVXWziBwJ/BP4ytv0NVUdHuUYlkEYY0zu1caY1FcD5UBrb/55wB+44QXgQuBhb/49VR2Y7QEsgzDGmNzLaxGTiHQGBgCP+8tUdZyqOlV1xO4gOm/rcSyDMMaY3Mt3HcS9wA1AZfIKEWkM/BKYEFj8UxH5VETGi8h+UQ9iGYQxxuRe3oqYRGQgsFRVy7z6hWQPAe+q6nve/MfAHqq6VkROAF4HuqU7RmVlJeXl5axcuZItW7ZQXl6ey7dQr2zcuHG7fv9Bdi6q2LmoYucie/msg+gNnOT92DcDWovIc6p6tojcCuwM/NpPrKqrA6/HichDIrKTqi5LdYDi4mJKS0tp3bo1TZo0obS0NI9vp24rLy/frt9/kJ2LKnYuqti5qFJWVhYpXd4yCFUdCgwF8O4grvcyhwuB44D+qhovehKRTsB3qupEpBex4q8fohzLipiMMSb3aqMVU7JHgAXAByICVc1ZBwGXisgWYAMwxKvIzsgyCGOMyb1aySBUdTIw2XsdekxVHQGMqMn+LYMwxpjcsyepjTHGhLIMwhhjTCjLIIwxxoQqRCV1zo0aNYrmzZsXOgxjjGlQ6v0dxKZNmwDYsGFDgSMxxpiGpcFkEMYYY3Kr3mcQ69evL3QIxhjTINX7DMLuIIwxJj/qfQZRWVmto1hjjDE5UO8ziK1btxY6BGOMaZDqfQZhdxDGGJMflkEYY4wJ1WAyiL59+xY4EmOMaVgaTAZx+eWXFzgSY4xpWBpMBlFcXO/fijHG1Cn1/lfVb8VkGYQxxuRWvf9V9e8gGjVqVOBIjDGmYWkwGYTdQRhjTG7V+19VyyCMMSY/8j4ehIg0AqYDi1R1oIjsBbwEdADKgF+q6iYRaQo8C/QEfgB+oarzM+3fMghjjMmP2vhVvRooD8z/GbhHVf8HWAFc4C2/AFjhLb/HS5eRZRDGGJMfef1VFZHOwADgcW++COgHjPKSPAOc4r0+2ZvHW9/fS5+WZRDGGJMf+S5iuhe4AWjlzXcAVqrqFm/+G2B37/XuwEIAVd0iIqu89MtS7byysnJZ06ZNF0yfPh2AsrKynL+B+mR7f/9Bdi6q2LmoYucibo8oifKWQYjIQGCpqpaJyJH5OEbPnj13zsd+jTHG5LeIqTdwkojMJ1Yp3Q+4D2grIn7G1BlY5L1eBHQB8Na3IVZZbYwxpgDylkGo6lBV7ayqewJDgLdV9SzgHWCQl+xc4J/e6zHePN76t1XV5Ss+Y4wx6RWiZvdG4FoR+ZJYHcMT3vIngA7e8muBmwoQmzHGGE+Rc3aRbowxpjprG2qMMSaUZRDGGGNC5b2rjXwRkeOJtYpqBDyuqncWOKSCEJEnAb9J8f6FjqeQRKQLse5adgEc8Jiq3lfYqApDRJoB7wJNif2fj1LVWwsbVeEkd/lT6HgKyWtZugbYCmxR1YNTpa2XdxDeh/0g8DOgO3CGiHQvbFQF8zRwfKGDqCO2ANepanfgJ8Dl2/H3ogLop6oHAj2A40XkJwWOqZCSu/zZ3h2lqj3SZQ5QTzMIoBfwparOU9VNxJ6zOLnAMRWEqr4LLC90HHWBqi5W1Y+912uI/SDsnn6rhklVnaqu9WYbe9N22SIlucsfE119zSDi3XJ4gl12GIOI7An8GPiwwKEUjIg0EpEZwFJgkqpur+fC7/KnstCB1BEOmCgiZSJycbqE9TWDMCYlEdkReBX4jaquLnQ8haKqW1W1B7EeC3qJyHZXRxXs8qfQsdQhfVT1IGJF9JeLyOGpEtbXDCLeLYcn2GWH2Y6JSGNimcPzqvpaoeOpC1R1JbEeDLbHuqpqXf6IyHMFjajAVHWR93cpMJpYkX2o+ppBfAR0E5G9RKQJsa48xhQ4JlNgXvfwTwDlqvq3QsdTSCKys4i09V43B44B5hQ2qtqXosufswscVsGISEsRaeW/Bo4FZqZKXy8zCK+78CuA/yNWEfmKqs4qbFSFISIvAh/EXso3InJBpm0asN7AL4ldJc7wphMKHVSB7Aq8IyKfEbugmqSqYwsckym8XYApIvIpMA14Q1UnpEpsXW0YY4wJVS/vIIwxxuSfZRDGGGNCWQZhjDEmlGUQxhhjQtXbzvqMMWZ7U5POOUXkNGAUcIiqTs/meHYHYeo1Efm9iMwSkc+8Zq2H5vl4k0UkbQdntUFEzhOREYWOw9S6p8nigUfvmYerqWGXM5ZBmHpLRH5K7GrqIFX9EXA0iX10mRS8HpFNPRPWOaeI7CMiE7y+ld4TkX0Dq28H/gxsrMnxrIjJ1Ge7AstUtQJAVZf5K0TkFuBEoDnwH+DXqupEZDLwCdAXaAmcAwwFDgBeVtVhXkd/E4Ay4CBgFnCOqq4PHlxEjgVuIzbmwlzg/EAPqn6aycSu3o4C2gIXqOp7InIecLCqXuGlGwvcpaqTRWQt8DBwArAY+B3wF6Arsf6l/F4Dunj73x14TlVv8/Z1NnAV0MQ79mWqutXb76PEMtLLgSnZnGxTZz0GXKKq//XuoB8i9rDoQUAXVX1DRH5bkx3bHYSpzyYS+5H8QkQeEpEjAutGqOohXjltc2J3Gr5NXj/4jwD/JPZjuT9wnoh08NII8JCqlgKrgcuCBxaRnYBhwNFex2fTgWtTxLmDqvYCfgNEGbSnJbEuIfYjNrDLH4h1lXEqMDyQrhdwGvAjYLCIHCwipcAvgN5eR31bgbMC+/1QVQ9UVcscGgCvY8rDgH94Pfc+CuwqIsXA34DrtmX/dgdh6i1VXSsiPYndDRwFvCwiN6nq08BRInID0AJoT+wu4F/epv4V+OfALFVdDCAi84h1ArkSWKiq73vpniN2RX5X4PA/ITZY1fsiArGr9Q9ShOp3GlgG7BnhrW0idgfjx1ihqptF5POk7Sep6g9e7K8BfYgNmtQT+MiLqzmx7r4hllm8GuH4pv4oBlZ6FwNxItKG2EXPZO970AkYIyInZVNRbRmEqddUdSswmdg/wufAuSLyErHb7INVdaGI/C/QLLBZhfe3MvDan/f/J5L7oEmeLyL2A31GhDD9Y2wN7H8LiXfwwfg2q6p/vHiMqlopIsH/2bAYi4BnVHVoSBwbvfNlGghVXS0iX4nIYFX9h9dh5Y9U9VNgJz+dVxR5vbViMtsNiekWWNQDWEDVj+0y7xZ8UA1239WrBAc4k+rl9VOB3iLyP14sLUWkJIv9zwd6iEixN5Z2yi6X0zhGRNp7vbWeArwPvAUMEpGOXlztRWSPGuzb1EEpOuc8C7jA64BvFjkcXdPuIEx9tiPwgNet9RbgS+BiVV0pIiOJdWO8hFhvptlSYoOpPAnMJlZpXLVS9XuvovlFEWnqLR4GfBFx/+8DX3n7Lgc+rkGM04gVGXUmVkk9HUBEhhEbMawY2EysjmVBDfZv6pg0d6xpm76q6pE1OZ715mpMEq8V09ioDyIZ01BZEZMxxphQdgdhjDEmlN1BGGOMCWUZhDHGmFCWQRhjjAllGYQxxphQlkEYY4wJ9f9pR01OpH8BJAAAAABJRU5ErkJggg==\n", 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nx.draw(trajp.trajectory[-3], with_labels=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "834e85ec", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "trajp._size=None\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories()\n", + "trajp.size().plot(color = 'black')\n", + "size_mcmc_index = list(trajp._size)\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Number of graph edges')\n", + "#plt.ylim((50, 250))\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "christian-senate", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Auto correlalation plot \n", + "burnin = 1000\n", + "lag=1000\n", + "aux.autocorrelation_plot(size_mcmc_index[-burnin:], label = 'Parallel', color = 'black', lag =lag)\n", + "plt.legend()\n", + "plt.ylabel('Graph size autocorrelation')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "8e4741a9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n", + "Acceptance ratio 0.107402\n" + ] + } + ], + "source": [ + "## by mcmc index and subindex\n", + "## of the graph\n", + "traj.graph_updates = None\n", + "traj.set_graph_trajectories(index_type = 'mcmc_index')\n", + "acc_cs = aux.acceptance_ratio(traj.trajectory)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "id": "realistic-insulin", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n", + "Acceptance ratio 0.235505\n", + "mcmc_subindex\n", + "Acceptance ratio 0.144402\n" + ] + } + ], + "source": [ + "## by mcmc index and subindex\n", + "## of the graph\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories(index_type = 'mcmc_index')\n", + "acc_parallel = aux.acceptance_ratio(trajp.trajectory)\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories(index_type = 'mcmc_subindex')\n", + "acc_parallel_subindex = aux.acceptance_ratio(trajp.trajectory)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "overhead-weekend", + "metadata": {}, + "outputs": [], + "source": [ + "## Plotting joint acceptance ratio\n", + "x, y = smooth(x = None,y = acc_mcmc_subindex[1] * 100)\n", + "xz, z = smooth(None,acc_mcmc_index[1] * 100 )\n", + "xu, u = smooth(None, acc_jt_mcmc_subindex[1] * 100)\n", + "xff, ff = smooth(None, f)\n", + "\n", + "#x = list(range(len(acc_mcmc_subindex[1])))\n", + "#y = acc_mcmc_subindex[1] * 100\n", + "#z = acc_mcmc_index[1] * 100\n", + "#u = acc_jt_mcmc_subindex[1] * 100\n", + "lw = 1\n", + "ax = plt.plot(xz, z, color='black', label='(a): Graph-updates - parallel',lw = lw)\n", + "plt.plot(x, y, color='black', label='(b): Graph-updates - serial', ls='--', lw = lw)\n", + "plt.plot(xu, u, color='grey', label='(c): Junction-updates - serial', ls = ':', lw=lw)\n", + "plt.plot(xff, ff, color='grey',label='(d): Graph-updates - single-move', ls = '-.', lw=lw)\n", + "plt.ylim((0, 20))\n", + "plt.xlim((0, max(x)))\n", + "plt.legend()\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Cummulative acceptance rate (%)')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", + "plt.annotate('(d)', xy=(650000,2))\n", + "plt.annotate('(b)', xy=(550000,3.6))\n", + "plt.annotate('(a)', xy=(80000,11))\n", + "plt.annotate('(c)', xy=(80000,15))\n", + "plt.grid(False)\n", + "save_location('ggm_acceptance_ratio_all')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.16" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/parallelDG/graph/clique_separator_graph.py b/parallelDG/graph/clique_separator_graph.py new file mode 100644 index 0000000..9750fe8 --- /dev/null +++ b/parallelDG/graph/clique_separator_graph.py @@ -0,0 +1,687 @@ +import networkx as nx +from parallelDG.graph import junction_tree as jtlib +from networkx.drawing.nx_pydot import graphviz_layout +import collections +import numpy as np + +class CliqeSeparator(nx.DiGraph): + + def __init__(self, data=None, **attr): + nx.DiGraph.__init__(self, data, **attr) + self.separators = None + self.num_graph_nodes = None + self.num_components = None + self.num_blocks = None + + def fresh_copy(self): + """Return a fresh copy graph with the same data structure. + + A fresh copy has no nodes, edges or graph attributes. It is + the same data structure as the current graph. This method is + typically used to create an empty version of the graph. + + Notes + ----- + If you subclass the base class you should overwrite this method + to return your class of graph. + """ + return CliqeSeparator() + + def add_edge(self, u_of_edge, v_of_edge, **attr): + self.separators = None + return super(CliqeSeparator, self).add_edge(u_of_edge, v_of_edge, **attr) + + def add_edges_from(self, ebunch_to_add, **attr): + self.separators = None + return super(CliqeSeparator, self).add_edges_from(ebunch_to_add, **attr) + + def remove_edge(self, u, v): + self.separators = None + return super(CliqeSeparator, self).remove_edge(u, v) + + def remove_node(self, n): + self.separators = None + return super(CliqeSeparator, self).remove_node(n) + + def remove_edges_from(self, ebunch): + self.separators = None + return super(CliqeSeparator, self).remove_edges_from(ebunch) + + def get_separators(self): + if self.separators is None: + self.separators = [node for node in self.nodes() if self.out_degree(node)] + return self.separators + + def get_cliques(self): + cliques = [node for node in self.nodes() if not self.out_degree(node)] + return cliques + + def to_graph(self): + """ Returns the graph underlying the clique-separator graph. + + Returns: + NetworkX graph + """ + + G = nx.Graph() + cliques = self.get_cliques() + for c in cliques: + for n1 in set(c): + if len(c) == 1: + G.add_node(n1) + for n2 in set(c) - set([n1]): + G.add_edge(n1, n2) + return G + + def plot(self, **args): + #pos = nx.planar_layout(cs) + pos = nx.spring_layout(self) + pos = graphviz_layout(self, prog="dot") + no_frozen_labels = {node: tuple(node) for node in self.nodes()} + cliques = {clique:"tab:blue" for clique in self.get_cliques()} + separators = {sep:"tab:red" for sep in self.get_separators()} + cliques.update(separators) + color_map = [cliques.get(n) for n in self.nodes()] + nx.draw(self, + pos=pos, + node_color=color_map, + labels = no_frozen_labels, + with_labels=True, **args) + +def clique_separator_graph(jt): + """ Returns the clique-separator graph as in Ibarra (2009) + + Args: + jt (NetworkX graph): A junction tree + + Returns: + DiGrpah (NetworkX graph): the clique-separator graph + """ + cs = nx.DiGraph() + cs.add_nodes_from(list(jt.nodes()), clique = True) + cs.add_node(frozenset([]), clique = False) + sep_list = [] + for s in jt.edges(): + sep = s[0] & s[1] + sep_list.append(sep) + cs.add_nodes_from(sep_list, clique=False) + cs.add_edges_from(sep2clq_edges(jt)) + ## adding blocks + k = 0 + attr_dict = {} + for comp in nx.weakly_connected_components(cs): + if frozenset([]) not in comp: + for node in comp: + attr_dict[node] = {"block" : k} + k += 1 + for node in nx.neighbors(cs, frozenset([])): + attr_dict[node] = {"block" : k} + k += 1 + nx.set_node_attributes(cs, attr_dict) + cs.add_edges_from(sep2sep_edges(jt)) + + connected_components = jtlib.forest_induced_by_sep(jt, frozenset([])).connected_component_vertices() + + # adding cliques + attr_dict2 = {} + c = 0 + for comp in connected_components: + for node in comp: + attr_dict2[node] = {'component' : c} + c +=1 + nx.set_node_attributes(cs, attr_dict2) + + CS = CliqeSeparator() + CS.add_nodes_from(cs.nodes().data()) + CS.add_edges_from(cs.edges()) + CS.num_components = len(connected_components) + CS.num_graph_nodes = jt.num_graph_nodes + CS.num_blocks = k + return CS + + +def unique_link(node1, node2, tree): + """ Returns True if node1 < node2 and no other node n st. node1 < n < node2 + + Args: + node1: first node of tree + node2: second node of tree + tree (NetworkX graph): A junction tree + + Returns: + logical: True, False + """ + unique = True + for d in tree.edges(): + sep = d[0] & d[1] + if node1 < sep and sep < node2: + unique = False + break + return unique + +def sep2clique_edge(sep, tree): + """ Returns the edge to add from separator to clique + + Args: + sep: a separator + tree (NetworkX graph): A junction tree + + Returns: + list: [(from, to), (from, to)] + """ + edges_to_add = [] + for clq in tree.nodes(): + if sep < clq: + unique = unique_link(sep, clq, tree) + if unique: + edges_to_add.append((sep, clq)) + return edges_to_add + + +def sep2sep_edge(sep, tree): + """ Returns the edge to add from separator to separator + + Args: + sep: a separator + tree (NetworkX graph): A junction tree + + Returns: + list: [(from, to), (from, to)] + """ + edges_to_add = [] + for e in tree.edges(): + sep1 = e[0] & e[1] + if sep < sep1: + unique = unique_link(sep, sep1, tree) + if unique: + edges_to_add.append((sep, sep1)) + return edges_to_add + + +def sep2clq_edges(tree): + """ Returns the separator to clique edges + + Args: + tree (NetworkX graph): A junction tree + + Returns: + list: [(from, to), (from, to)] + """ + edges_to_add = [] + for s in tree.edges(): + sep = s[0] & s[1] + edges_to_add += sep2clique_edge(sep, tree) + return edges_to_add + + +def sep2sep_edges(tree): + """ Returns the separator to separator edges + + Args: + tree (NetworkX graph): A junction tree + + Returns: + list: [(from, to), (from, to)] + """ + edges_to_add = [] + for s in tree.edges(): + sep = s[0] & s[1] + edges_to_add += sep2sep_edge(sep, tree) + edges_to_add += sep2sep_edge(frozenset([]), tree) + return edges_to_add + + + +def subgraph_induced_by_subset(graph, s): + """ Returns the subtree induced by the set s. + + Args: + graph (NetworkX graph): A clique-separator graph + s (set): Subset of the node in the underlying graph + """ + if len(s) == 0: + return graph.copy() + v_prime = {c for c in graph.nodes() if s <= c} + return graph.subgraph(v_prime) + + +def leaf_nodes(graph): + """ Returns a set of the leaf nodes of graph + Args: + graph (NetworkX graph): a clique-separator graph + """ + clq = graph.get_cliques() + return [x for x in clq if graph.in_degree(x) == 1] + + +def descendants_in_blocks(graph, descendants): + blocks = {b: [] for b in range(graph.num_blocks)} + for sep, pathes in descendants.items(): + for path in pathes: + end_node = path[-1] + block = graph.node[end_node]['block'] + blocks[block].append(path) + return blocks + + +def neighboring_nodes(graph, subset): + """ Return neighboring nodes, to the induced graph + + Args: + graph (NetwokrX) a clique-separator graph + subset (frozenset) indeuction subset + empty_node (bool) if empty cliques should be included + """ + ancestor_descendant_pair = dict() # format {clique: [path of separators], clique: [path of separators], ...} + induced_graph = subgraph_induced_by_subset(graph, subset) + cliques = induced_graph.get_cliques() + ancestors_to_induced_graph = set() + for n in induced_graph.nodes(): + for p in graph.predecessors(n): + if not p & subset: + ancestors_to_induced_graph.add(p) + direct_clqs = clique_successors(graph, ancestors_to_induced_graph, subset) + direct_sep = separator_predecessors(graph,direct_clqs, subset) + skip_nodes = direct_sep - ancestors_to_induced_graph + component = induced_graph.nodes[cliques[0]]['component'] + for ans in list(ancestors_to_induced_graph): + if ans: + ancestor_descendant_pair[ans] = dfs_path2cliques_subgraph(graph, + ans, + subset, + skip_nodes) + else: + pathes = dfs_path2cliques_component(graph, ans, component) + components = organize_into_components(graph, pathes) + ancestor_descendant_pair[ans] = sample_one_path(components) + ## removing paths to cliques withing subset s + #return ancestor_descendant_pair + to_blocks = descendants_in_blocks(graph, ancestor_descendant_pair) + return to_blocks + + + +def dfs_path2cliques(graph, source): + """ Return the DFS paths to cliques from the source. + + Args: + graph (NetwokrX) a clique-separator graph + source (node) soruce node + + Return: + [(soruce, to 1, ..., to final), (soruce, to 1, ..., to final)] + """ + pathes = [] + path = [source] + for edge in nx.dfs_edges(graph, source): + if edge[0] == path[-1]: + # node of path + path.append(edge[1]) + else: + # new path + pathes.append(path) + search_index = 2 + while search_index <= len(path): + if edge[0] == path[-search_index]: + path = path[:-search_index + 1] + [edge[1]] + break + search_index += 1 + else: + raise Exception("Wrong path structure?", path, edge) + pathes.append(path) + return pathes + + + +def dfs_path2cliques_subgraph(graph, source, subset): + """ Return the DFS paths to cliques from the source. + + Args: + graph (NetwokrX) a clique-separator graph + source (node) soruce node + subset (node) branch to exclude + + Return: + [(soruce, to 1, ..., to final), (soruce, to 1, ..., to final)] + """ + pathes = [] + path = [source] + for edge in nx.dfs_edges(graph, source, depth_limit=1): + if edge[1] & subset: + continue + if edge[0] == path[-1]: + # node of path + path.append(edge[1]) + else: + # new path + if graph.node[path[-1]]['clique']: + pathes.append(path) + search_index = 2 + while search_index <= len(path): + if edge[0] == path[-search_index]: + path = path[:-search_index + 1] + [edge[1]] + break + search_index += 1 + else: + raise Exception("Wrong path structure?", path, edge) + if graph.node[path[-1]]['clique']: + pathes.append(path) + return pathes + + +def dfs_path2cliques_subgraph(graph, source, subset, skip_nodes): + """ Return the DFS paths to cliques from the source. + + Args: + graph (NetwokrX) a clique-separator graph + source (node) soruce node + subset (node) branch to exclude + + Return: + [(soruce, to 1, ..., to final), (soruce, to 1, ..., to final)] + """ + pathes = [] + path = [source] + for edge in dfs_edges(graph, source, skip_nodes=skip_nodes): + if edge[1] & subset: + continue + if edge[0] == path[-1]: + # node of path + path.append(edge[1]) + else: + # new path + if graph.node[path[-1]]['clique']: + pathes.append(path) + search_index = 2 + while search_index <= len(path): + if edge[0] == path[-search_index]: + path = path[:-search_index + 1] + [edge[1]] + break + search_index += 1 + else: + raise Exception("Wrong path structure?", path, edge) + if graph.node[path[-1]]['clique']: + pathes.append(path) + return pathes + + + +def dfs_path2cliques_component(graph, source, component): + """ Return the DFS paths to cliques from the source. + + Args: + graph (NetwokrX) a clique-separator graph + source (node) soruce node + component (node) number of connected component + + Return: + [(soruce, to 1, ..., to final), (soruce, to 1, ..., to final)] + """ + pathes = [] + path = [source] + for edge in nx.dfs_edges(graph, source): + if edge[0] == path[-1]: + # node of path + path.append(edge[1]) + else: + # new path + pathes.append(path) + search_index = 2 + while search_index <= len(path): + if edge[0] == path[-search_index]: + path = path[:-search_index + 1] + [edge[1]] + break + search_index += 1 + else: + raise Exception("Wrong path structure?", path, edge) + pathes.append(path) + final_pathes = [] + for p in pathes: + last_clique = p[-1] + com = graph.node[last_clique] + if com['clique'] and com['component'] != component: + final_pathes.append(p) + + return final_pathes + +def sample_one_path(dict_of_lists): + """ Returns a dict of {key: [one item]} + + Args: + dict_of_lists: a dict of lists + """ + partitions = [] + for key, pathes in dict_of_lists.items(): + if pathes: + np.random.shuffle(pathes) + partitions.append(pathes[0]) + return partitions + + +# def sample_cliques_from_blocks(part_dict): +# partitions = [] +# for block, pathes in part_dict.items(): +# if pathes: +# np.random.shuffle(pathes) +# path = pathes[0] +# sep = path[0] +# clq = path[-1] +# partitions.append((clq, sep)) +# return partitions, 0.0 + +def sample_cliques_from_blocks(part_dict): + partitions = [] + for block, pathes in part_dict.items(): + np.random.shuffle(pathes) + for path in pathes: + sep = path[0] + clq = path[-1] + partitions.append((clq, sep)) + return partitions, 0.0 + + +def sample_cliques_from_components(graph, part): + if not frozenset([]) in part.keys(): + return part, 0.0 + a = part[frozenset([])] + components = [graph.node[path[-1]]['component'] for path in a] + k = collections.Counter(components) + log_p = np.log(np.array(k.values())).sum() + + components_dict = {c: [] for c in range(graph.num_components)} + for l in a: + components_dict[graph.node[l[-1]]['component']].append(l) + comp_list = [] + for comp, pt in components_dict.items(): + np.random.shuffle(pt) + if pt: + comp_list.append(pt[0]) + part[frozenset([])] = comp_list + return part, log_p + + +def connect_partition(graph, node): + """ Returns a list of all connect cliques in the following format + + [(clique, separator), (clique, separator)] + + Args: + graph (NetwokrX) a clique-separator grpah + node (frozenset) a node + """ + initial_part = neighboring_nodes(graph, node) + partition_list, log_p = sample_cliques_from_blocks(initial_part) + #part, log_p = sample_cliques_from_components(graph, initial_part) + return partition_list, log_p + + + +def disconnect_partition(graph, node): + """ Returns all disconnect cliques in the following format + + [(clique, separator), (clique, separator)] + + Args: + graph (NetwokrX) a clique-separator graph + node (frozenset) a node + """ + induced_graph = subgraph_induced_by_subset(graph, node) + leaves = leaf_nodes(induced_graph) + lf = [(clq, list(induced_graph.predecessors(clq))[0]) for clq in leaves] + return lf, 0.0 + + + + +def connect(graph, clique_tupple, node): + new_clique = clique_tupple[0] + sep = clique_tupple[2] + simplix = new_clique - sep - node + node = list(node)[0] + # 0 for connection tyep + edges_to_add = [(node, y) for y in set(simplix)] + graph.add_edges_from(edges_to_add) + + +def disconnect_move(graph, clique_tupple, node): + old_clq = clique_tupple[1] + sep = clique_tupple[2] + simplix = old_clq - sep - node + node = list(node)[0] + # 1 for disconnect type + edges_to_remove = [(node, y) for y in set(simplix)] + graph.remove_edges_from(edges_to_remove) + +def organize_into_components(graph, path_list): + """ Returns a dict of {compnent: pathlist} + + Args: + graph (NetwokrX) a clique-separator grpah + path_list (list) a list of pathes, each ending with a clique + """ + components = {i: [] for i in range(graph.num_components)} + for path in path_list: + end_node = path[-1] + end_comp = graph.node[end_node]['component'] + components[end_comp].append(path) + return components + + + +def to_graph(graph): + """ Returns the graph underlying the clique-separator graph. + + Returns: + NetworkX graph + """ + + G = nx.Graph() + cliques = graph.nodes() + for c in cliques: + for n1 in set(c): + if len(c) == 1: + G.add_node(n1) + for n2 in set(c) - set([n1]): + G.add_edge(n1, n2) + return G + + + +def dfs_edges(G, source=None, depth_limit=None, skip_nodes = set()): + """Iterate over edges in a depth-first-search (DFS). + + Perform a depth-first-search over the nodes of `G` and yield + the edges in order. This may not generate all edges in `G` + (see `~networkx.algorithms.traversal.edgedfs.edge_dfs`). + + Parameters + ---------- + G : NetworkX graph + + source : node, optional + Specify starting node for depth-first search and yield edges in + the component reachable from source. + + depth_limit : int, optional (default=len(G)) + Specify the maximum search depth. + + Yields + ------ + edge: 2-tuple of nodes + Yields edges resulting from the depth-first-search. + + Examples + -------- + >>> G = nx.path_graph(5) + >>> list(nx.dfs_edges(G, source=0)) + [(0, 1), (1, 2), (2, 3), (3, 4)] + >>> list(nx.dfs_edges(G, source=0, depth_limit=2)) + [(0, 1), (1, 2)] + + Notes + ----- + If a source is not specified then a source is chosen arbitrarily and + repeatedly until all components in the graph are searched. + + The implementation of this function is adapted from David Eppstein's + depth-first search function in PADS [1]_, with modifications + to allow depth limits based on the Wikipedia article + "Depth-limited search" [2]_. + + See Also + -------- + dfs_preorder_nodes + dfs_postorder_nodes + dfs_labeled_edges + :func:`~networkx.algorithms.traversal.edgedfs.edge_dfs` + :func:`~networkx.algorithms.traversal.breadth_first_search.bfs_edges` + + References + ---------- + .. [1] http://www.ics.uci.edu/~eppstein/PADS + .. [2] https://en.wikipedia.org/wiki/Depth-limited_search + """ + if source is None: + # edges for all components + nodes = G + else: + # edges for components with source + nodes = [source] + + visited = set() + if depth_limit is None: + depth_limit = len(G) + for start in nodes: + if start in visited: + continue + visited.add(start) + stack = [(start, depth_limit, iter(G[start]))] + while stack: + parent, depth_now, children = stack[-1] + try: + child = next(children) + if child not in visited and child not in skip_nodes: + yield parent, child + visited.add(child) + if depth_now > 1: + stack.append((child, depth_now - 1, iter(G[child]))) + except StopIteration: + stack.pop() + + +def clique_successors(graph, parents, subset): + direct_child_clqs = set() + for p in list(parents): + for child in graph.successors(p): + if (graph.node[child]['clique']) & (not child & subset): + direct_child_clqs.add(child) + return direct_child_clqs + +def separator_predecessors(graph, children, subset): + direct_parents = set() + for p in list(children): + for child in graph.predecessors(p): + if (not graph.node[child]['clique']) & (not child & subset): + direct_parents.add(child) + return direct_parents + diff --git a/parallelDG/mh_clique_separator.py b/parallelDG/mh_clique_separator.py new file mode 100644 index 0000000..c486365 --- /dev/null +++ b/parallelDG/mh_clique_separator.py @@ -0,0 +1,526 @@ +""" +Metropolis-Hastings Parallel clique sampler +""" +from multiprocessing import Process +import multiprocessing + +import time +import datetime +import os +import numpy as np +from tqdm import tqdm + +import parallelDG.distributions.sequential_junction_tree_distributions as seqdist +import parallelDG.graph.graph as glib +import parallelDG.graph.junction_tree as jtlib +import parallelDG.graph.trajectory as mcmctraj +import parallelDG.graph.decomposable as dlib +import parallelDG.graph.clique_separator_graph as clib +import networkx as nx +import parallelDG.auxiliary_functions as aux + +import copy +def sample_trajectory(n_samples, + randomize, + sd, + sd_graph, + init_graph=None, + reset_cache=True, + **args): + seed = args.get('seed', int(time.time())) + np.random.seed(seed) + if init_graph: + graph = init_graph + jt = dlib.junction_tree(graph) + else: + graph = nx.Graph() + graph.add_nodes_from(range(sd.p)) + dummy_tree = jtlib.to_frozenset(nx.random_tree(n=sd.p, seed=seed)) + jt = jtlib.JunctionTree() + jt.add_nodes_from(dummy_tree.nodes()) + jt.add_edges_from(dummy_tree.edges()) + jt.num_graph_nodes = sd.p + + + cs = clib.clique_separator_graph(jt) + if reset_cache is True: + sd.cache = {} + + graph_traj = [None] * n_samples + graph_traj[0] = graph.copy() + log_prob_traj = [None] * n_samples + + gtraj = mcmctraj.Trajectory() + gtraj.trajectory_type = "clique_separator_graph" + gtraj.set_sampling_method({"method": "mh", + "params": {"samples": n_samples} + }) + gtraj.set_sequential_distribution(sd) + gtraj.set_graph_prior(sd_graph) + gtraj.set_init_graph(graph) + gtraj.set_init_jt(cs) + + log_prob_traj[0] = sd.log_likelihood(jt) + update_moves = list() + num_nodes = len(graph) + k = int(0) + acc_ratios = [] + tic = time.time() + + for i in tqdm(range(1, n_samples), desc="Parallel Metropolis-Hastings samples"): + cs = clib.clique_separator_graph(dlib.junction_tree(graph)) + #import pdb; pdb.set_trace() + node = frozenset([np.random.randint(num_nodes)]) + move_type = np.random.randint(2) + log_p = 0.0 + if move_type == 0: # connect + partitions, log_q = clib.connect_partition(cs, node) + log_q = 0.0 + np.random.shuffle(partitions) # shuffling the output + if not partitions: + log_prob_traj[i] = log_prob_traj[i-1] + continue + for clq, sep in partitions: + #print((i,move_type, clq, sep, node)) + clq_prop = clq | node + sep_prop = sep | node + # New clique log-lik + prior + log_p2 = sd.log_likelihood_partial( + cliques=[clq_prop], + separators={sep_prop: set([(sep_prop, clq_prop)])}) + log_g2 = sd_graph.log_prior_partial(clq_prop, sep_prop) + # old clique log-like + prior + log_p1 = sd.log_likelihood_partial( + [clq], + {sep: set([(sep, clq)])}) + log_g1 = sd_graph.log_prior_partial(clq, sep) + log_g1 = log_g2 = 0 + acc_ratios.append((i, log_p2 - log_p1, log_g2 - log_g1)) + alpha = min(1, np.exp(log_p2 + log_g2 - log_p1 - log_g1)) + k += int(1) + if np.random.uniform() <= alpha: + clique_tuple = (clq_prop, clq, sep) + clib.connect(graph, clique_tuple, node) + if not nx.is_chordal(graph): + import pdb; pdb.set_trace() + log_p += (log_p2 - log_p1) + (log_g2 - log_g1) + update_moves.append((i, k, + move_type, + node, + clique_tuple)) + else: # diconnect + partitions, log_q = clib.disconnect_partition(cs, node) + np.random.shuffle(partitions) + if not partitions: + log_prob_traj[i] = log_prob_traj[i-1] + continue + for clq, sep in partitions: + #print((i,move_type, clq, sep, node)) + clq_prop = clq - node + sep_prop = sep - node + # New clique log-lik + prior + log_p2 = sd.log_likelihood_partial( + [clq_prop], + {sep_prop: set([(sep_prop, clq_prop)])}) + log_g2 = sd_graph.log_prior_partial(clq_prop, sep_prop) + # old clique + prior + log_p1 = sd.log_likelihood_partial([clq], + {sep: set([(sep, clq)])}) + log_g1 = sd_graph.log_prior_partial(clq, sep) + log_g1 = log_g2 = 0 + acc_ratios.append((i, log_p2 - log_p1, log_g2 - log_g1)) + alpha = min(1, np.exp(log_p2 + log_g2 - log_p1 - log_g1)) + k += int(1) + if np.random.uniform() <= alpha: + clique_tuple = (clq_prop, clq, sep) + clib.disconnect_move(graph, clique_tuple, node) + if not nx.is_chordal(graph): + import pdb; pdb.set_trace() + log_p += (log_p2 - log_p1) + (log_g2 - log_g1) + update_moves.append((i, k, + move_type, + node, + clique_tuple)) + log_prob_traj[i] = log_prob_traj[i-1] + log_p + graph_traj[i] = graph.copy() + + + toc = time.time() + gtraj.set_logl(log_prob_traj) + gtraj.set_nupdates(k) + gtraj.set_time(toc-tic) + gtraj.set_jt_updates(update_moves) + # gtraj.jt_trajectory = jt_traj + gtraj.trajectory = graph_traj + gtraj.dummy = acc_ratios + print('Total of {} updates, for an average of {:.2f} per iteration or {:.2f}updates/sec'.format(k, float(k)/n_samples,k/(toc-tic))) + print('Acceptance rate {:.4f}'.format(len(update_moves)/float(k))) + return gtraj + + +def get_prior(graph_prior): + sd = None + if graph_prior[0] == "mbc": + if len(graph_prior) > 1: + alpha = float(graph_prior[1]) + beta = float(graph_prior[2]) + else: + alpha = 2.0 + beta = 4.0 + sd = seqdist.ModifiedBornnCaron(alpha, beta) + if graph_prior[0] == "edgepenalty": + if len(graph_prior) > 1: + alpha = float(graph_prior[1]) + else: + alpha = 0.001 + sd = seqdist.EdgePenalty(alpha) + if graph_prior[0] == "uniform": + sd = seqdist.GraphUniform() + # default prior + if not sd: + sd = get_prior(["mbc", 2.0, 4.0]) + return sd + + +def sample_trajectory_uniform( + n_samples, + randomize=100, + graph_prior=['uniform'], + graph_size=10, + cache={}, **args): + sd = seqdist.UniformJTDistribution(graph_size) + sd_graph = get_prior(graph_prior) + + latent = True + if 'latent' in args: + latent = args.get('latent') + + if latent: + sim = sample_trajectory(n_samples=n_samples, + randomize=randomize, + sd=sd, + sd_graph=sd_graph, + **args) + else: + sim = sample_trajectory_single_move(n_samples=n_samples, + randomize=randomize, + sd=sd, + sd_graph=sd_graph, + **args) + return sim + + + +def sample_trajectory_ggm(dataframe, + n_samples, + randomize=100, + D=None, + delta=1.0, + graph_prior=['mbc', 2.0, 4.0], + cache={}, **args): + p = dataframe.shape[1] + if D is None: + D = np.identity(p) + sd = seqdist.GGMJTPosterior() + sd.init_model(np.asmatrix(dataframe), D, delta, cache) + sd_graph = get_prior(graph_prior) + + if 'single_move' in args: + traj = sample_trajectory_single_move(n_samples, + randomize, sd, + sd_graph, + **args) + else: + traj = sample_trajectory(n_samples, + randomize, + sd, + sd_graph, + **args) + return traj + + +def trajectory_to_file(n_samples, + randomize, + seqdist, + seqdist_graph, + reset_cache=True, + output_directory=".", + reseed=False, + **args): + """ Writes the trajectory of graphs generated by particle Gibbs to file. + + Args: + n_samples (int): Number of Gibbs iterations (samples) + seq_dist (SequentialJTDistributions): the distribution to be sampled from + filename_prefix (string): prefix to the filename + + Returns: + mcmctraj.Trajectory: Markov chain of underlying graphs of the junction trees sampled. + + """ + if reseed is True: + np.random.seed() + + #print (n_particles, alpha, beta, radius, n_samples, str(seqdist), reset_cache) + graph_trajectory = sample_trajectory(n_samples, + randomize, + seqdist, + seqdist_graph, + reset_cache=reset_cache, + **args) + output_filename = args.get("output_filename", None) + seed = args.get('seed', int(time.time())) + if not output_filename: + output_filename = 'graph_traj_'+str(seed)+'.csv' + output_format = args.get("output_format", None) + aux.write_traj_to_file(graph_trajectory, + dirt=output_directory, + output_filename=output_filename, + output_format=output_format + ) + return graph_trajectory + + +def sample_trajectories_ggm_to_file(dataframe, + n_samples, + randomize=[100], + delta=[1.0], + D=None, + reset_cache=True, + reps=1, + graph_prior=['mbc', 2.0, 4.0], + output_directory=".", + **args): + p = dataframe.shape[1] + if D is None: + D = np.identity(p) + sd = seqdist.GGMJTPosterior() + sd_graph = get_prior(graph_prior) + graph_trajectories = [] + for _ in range(reps): + for T in n_samples: + for r in randomize: + for d in delta: + sd = seqdist.GGMJTPosterior() + sd.init_model(np.asmatrix(dataframe), D, d, {}) + graph_trajectory = trajectory_to_file(n_samples=T, + randomize=r, + seqdist=sd, + seqdist_graph=sd_graph, + reset_cache=reset_cache, + output_directory=output_directory, + **args) + graph_trajectories.append(graph_trajectory) + return graph_trajectories + + +def sample_trajectories_ggm_parallel(dataframe, + n_samples, + randomize=[100], + D=None, + delta=[1.0,], + reset_cache=True, + reps=1, + graph_prior=['mbc', 2.0, 4.0], + **args): + p = dataframe.shape[1] + if D is None: + D = np.identity(p) + sd_graph = get_prior(graph_prior) + queue = multiprocessing.Queue() + processes = [] + rets = [] + seed = args.get(seed,None) + for _ in range(reps): + for T in n_samples: + for r in randomize: + for d in delta: + sd = seqdist.GGMJTPosterior() + sd.init_model(np.asmatrix(dataframe), D, d, {}) + print("Starting: " + str((T, r, str(sd), reset_cache, True))) + proc = Process(target=trajectory_to_queue, + args=(T, r, sd, sd_graph, + queue, reset_cache, True)) + processes.append(proc) + proc.start() + time.sleep(2) + + for _ in processes: + ret = queue.get() # will block + rets.append(ret) + for p in processes: + p.join() + + output_directory = './' + output_filename = output_format = None + if "output_directory" in args: + output_directory = args["output_directory"] + if "output_filename" in args: + output_filename = args["output_filename"] + if "output_format" in args: + output_format = args["output_format"] + + for traj in rets: + aux.write_traj_to_file(traj, + dirt=output_directory, + output_filename=output_filename, + output_format=output_format + ) + return rets + + + +def sample_trajectory_loglin(dataframe, + n_samples, + randomize, + pseudo_obs=1.0, + graph_prior=['mbc', 2.0, 4.0], + reset_cache=True, **args): + p = dataframe.shape[1] + n_levels = np.array(dataframe.columns.get_level_values(1), dtype=int) + levels = np.array([range(l) for l in n_levels]) + + sd = seqdist.LogLinearJTPosterior() + sd.init_model(dataframe.to_numpy(), pseudo_obs, levels, {}) + sd_graph = get_prior(graph_prior) + return sample_trajectory(n_samples, + randomize, + sd, + sd_graph, + reset_cache=reset_cache, + **args) + + +def sample_trajectories_loglin_to_file(dataframe, + n_samples, + randomize=[100, ], + pseudo_obs=[1.0, ], + reset_cache=True, + reps=1, + graph_prior=['mbc', 2.0, 4.0], + output_directory=".", + **args): + p = dataframe.shape[1] + n_levels = np.array(dataframe.columns.get_level_values(1), dtype=int) + levels = np.array([range(l) for l in n_levels]) + dt = dataframe.to_numpy() + sd_graph = get_prior(graph_prior) + graph_trajectories = [] + for _ in range(reps): + for T in n_samples: + for r in randomize: + for p in pseudo_obs: + sd = seqdist.LogLinearJTPosterior() + sd.init_model(dt, p, levels, {}) + graph_trajectory = trajectory_to_file(n_samples=T, + randomize=r, + seqdist=sd, + seqdist_graph=sd_graph, + reset_cache=reset_cache, + output_directory=output_directory, + **args) + graph_trajectories.append(graph_trajectory) + return graph_trajectories + +def sample_trajectories_loglin_parallel(dataframe, + n_samples, + randomize=[100, ], + pseudo_obs=[1.0, ], + reset_cache=True, + reps=1, + graph_prior=['mbc', 2.0, 4.0], + **args): + + p = dataframe.shape[1] + n_levels = np.array(dataframe.columns.get_level_values(1), dtype=int) + levels = np.array([range(l) for l in n_levels]) + dt = dataframe.to_numpy() + sd_graph = get_prior(graph_prior) + queue = multiprocessing.Queue() + processes = [] + rets = [] + for _ in range(reps): + for T in n_samples: + for r in randomize: + for p in pseudo_obs: + sd = seqdist.LogLinearJTPosterior() + sd.init_model(dt, p, levels, {}) + print("Starting: " + str((T, r, p, str(sd), + reset_cache, True))) + proc = Process(target=trajectory_to_queue, + args=(T, r, sd, sd_graph, + queue, reset_cache, True)) + processes.append(proc) + proc.start() + time.sleep(2) + + for _ in processes: + ret = queue.get() # will block + rets.append(ret) + for p in processes: + p.join() + + output_directory = './' + output_filename = output_format = None + if "output_directory" in args: + output_directory = args["output_directory"] + if "output_filename" in args: + output_filename = args["output_filename"] + if "output_format" in args: + output_format = args["output_format"] + + for traj in rets: + aux.write_traj_to_file(traj, + dirt=output_directory, + output_filename=output_filename, + output_format=output_format + ) + return rets + + + +def trajectory_to_queue(n_samples, + randomize, + seqdist, + seqdist_graph, + queue, + reset_cache=True, + reseed=False): + + """ Writes the trajectory of graphs generated by Model to file. + Args: + n_samples (int): Number of Gibbs iterations (samples) + seq_dist (SequentialJTDistributions): the distribution to be sampled from + Returns: + Trajectory: Markov chain of underlying graphs of the junction trees sampled by pgibbs. + """ + if reseed is True: + np.random.seed() + graph_trajectory = sample_trajectory(n_samples, + randomize, + seqdist, + seqdist_graph, + reset_cache=reset_cache) + queue.put(graph_trajectory) + + + + +def ggm_loglikelihood(dataframe, + graph, + D=None, + delta=1.0, + graph_prior=['mbc', 2.0, 4.0], + cache={}, **args): + p = dataframe.shape[1] + if D is None: + D = np.identity(p) + sd = seqdist.GGMJTPosterior() + sd.init_model(np.asmatrix(dataframe), D, delta) + sd_graph = get_prior(graph_prior) + jt = dlib.junction_tree(graph) + seps = jtlib.separators(jt) + clqs = jt.nodes() + logl = sd.log_likelihood(jt) + logl += sd_graph.log_prior(clqs, seps) + return logl From 92f5b57096fe312f1f03f989c57367b59828fc51 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Fri, 16 Sep 2022 12:14:33 -0400 Subject: [PATCH 04/10] adding plotting function to junction tree class --- parallelDG/graph/junction_tree.py | 21 ++++++++++++++++++++- 1 file changed, 20 insertions(+), 1 deletion(-) diff --git a/parallelDG/graph/junction_tree.py b/parallelDG/graph/junction_tree.py index 5a0497b..d6d1072 100644 --- a/parallelDG/graph/junction_tree.py +++ b/parallelDG/graph/junction_tree.py @@ -4,7 +4,7 @@ import networkx as nx import numpy as np - +from networkx.drawing.nx_pydot import graphviz_layout class JunctionTree(nx.Graph): @@ -95,6 +95,25 @@ def to_graph(self): for n2 in set(c) - set([n1]): G.add_edge(n1, n2) return G + def plot(self, **args): + #pos = nx.planar_layout(cs) + #pos = nx.spring_layout(self) + #pos = graphviz_layout(self, prog="twopi") + + options = { + "font_size": 12, + "node_color": "white", + "edgecolors": "black", + "linewidths": 1, + "width": 1, + 'node_size': [ (len(node) + 1) * 600 for node in self.nodes()], + } + no_frozen_labels = {node:','.join(map(str, sorted(tuple(node)))) for node in self.nodes()} + nx.draw(self, + #pos=pos, + labels = no_frozen_labels, + with_labels=True, **options) + From 0ed12f507f2fd432ab6af958f18dd0c28bc1fa8e Mon Sep 17 00:00:00 2001 From: Mohamad Date: Fri, 16 Sep 2022 14:49:21 -0400 Subject: [PATCH 05/10] quick ibarra example --- .../Clique-separator-graph-example_1.ipynb | 830 ++++++++++++++++++ 1 file changed, 830 insertions(+) create mode 100644 examples/Clique-separator-graph-example_1.ipynb diff --git a/examples/Clique-separator-graph-example_1.ipynb b/examples/Clique-separator-graph-example_1.ipynb new file mode 100644 index 0000000..b55fd56 --- /dev/null +++ b/examples/Clique-separator-graph-example_1.ipynb @@ -0,0 +1,830 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "peripheral-asbestos", + "metadata": {}, + "source": [ + "# Clique-Separator graph prototype\n", + "\n", + "Attempting to create a sampler using Clique-separator graphs introduced by Ibarra (2009). \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "5b3e9d28", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "import sys\n", + "sys.path.append('..')\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "import time\n", + "from parallelDG.graph import trajectory\n", + "import parallelDG.graph.graph as glib\n", + "import parallelDG.graph.decomposable as dlib\n", + "import parallelDG.graph.clique_separator_graph as clib\n", + "import parallelDG.graph.junction_tree as jtlib\n", + "import parallelDG.distributions.g_intra_class as gic\n", + "import parallelDG.auxiliary_functions as aux\n", + "from parallelDG.distributions import discrete_dec_log_linear as loglin\n", + "import parallelDG.mh_parallel as pdg\n", + "from networkx.drawing.nx_pydot import graphviz_layout\n", + "from scipy.interpolate import make_interp_spline\n", + "import parallelDG.mh_clique_separator as pcs\n", + "import parallelDG.mh_parallel as pdg\n", + "sns.set_style(\"whitegrid\")\n", + "options = {\n", + " \"font_size\": 8,\n", + " \"node_size\": 100,\n", + " \"node_color\": \"white\",\n", + " \"edgecolors\": \"black\",\n", + " \"linewidths\": 1,\n", + " \"width\": 1,\n", + "}\n", + "\n", + "def smooth(x, y):\n", + " if not x: \n", + " x = list(range(len(y)))\n", + " X_Y_Spline = make_interp_spline(x, y, k=3)\n", + " # Returns evenly spaced numbers\n", + " # over a specified interval.\n", + " X_ = np.linspace(np.min(x), np.max(x), 500)\n", + " Y_ = X_Y_Spline(X_)\n", + " return X_, Y_\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a4b7a09d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'True graph')" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ibarra_graph = [(0,1), (1, 2), (2, 3), (1,3), \n", + " (3,4), (4, 5), (3, 5), \n", + " (5,6), (6, 8), (5, 8), \n", + " (6,7), (7, 8),\n", + " (6,3), \n", + " (3,8), (3, 7), (3, 6), \n", + " (8,9), (3,9), \n", + " (1,9), (1,8), \n", + " (3,10), (8,10), \n", + " (3,11), \n", + " (11, 12), (12, 13), (11, 13), (11, 14), (13, 14), \n", + " (11, 15), (11, 16), (11, 17), (11, 18), (15, 16), (16, 17), (17, 18)]\n", + "G = nx.Graph(is_directed = False)\n", + "G.add_edges_from(ibarra_graph)\n", + "G.add_node((19))\n", + "G.add_node((20))\n", + "nx.draw(G, with_labels=True)\n", + "plt.title('True graph')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "38a40c08", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'A Junction tree')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "jt = dlib.junction_tree(G)\n", + "node =frozenset([11])\n", + "plt.figure(figsize=(10,10))\n", + "jt.plot()\n", + "plt.title('A Junction tree')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e2670f58", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'Clique-separator graph -- cliques are in blue')" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize = (12,12))\n", + "cs = clib.clique_separator_graph(jt)\n", + "cs.plot()\n", + "plt.title('Clique-separator graph -- cliques are in blue')" + ] + }, + { + "cell_type": "markdown", + "id": "8576947e", + "metadata": {}, + "source": [ + "## Generating true covariance matrix, based on interclass model" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "bea1a865", + "metadata": {}, + "outputs": [], + "source": [ + "p = G.order()\n", + "sigma2 = 1.0\n", + "rho = 0.9\n", + "n = 100\n", + "delta = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "91ab3f32", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of edges 34, number of nodes 21\n", + "loglikelihood 548.644835\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(2) # generates same data as in the paper\n", + "aux.plot_heatmap(nx.to_numpy_array(G), xticklabels=10, yticklabels=10)\n", + "ar_cov_mat = gic.cov_matrix(G, rho, sigma2)\n", + "ar_df = pd.DataFrame(np.random.multivariate_normal(np.zeros(p), ar_cov_mat, n))\n", + "print('Number of edges {}, number of nodes {}'.format(G.size(), G.order()))\n", + "print('loglikelihood {:2f}'.format(pdg.ggm_loglikelihood(dataframe=ar_df,\n", + " graph=G,\n", + " graph_prior=['uniform'], \n", + " delta=delta)))" + ] + }, + { + "cell_type": "markdown", + "id": "8d914cdb", + "metadata": {}, + "source": [ + "## Parallel Clique-separator graph" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "faefa181", + "metadata": {}, + "outputs": [], + "source": [ + "n_samples = 50000\n", + "randomize = 100\n", + "graph_prior = ['uniform']\n", + "delta = 5.0\n", + "burnin = 200000\n", + "seed = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "dc7fb10e", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 49999/49999 [00:59<00:00, 837.54it/s] " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 65046 updates, for an average of 1.30 per iteration or 1089.43updates/sec\n", + "Acceptance rate 0.1150\n", + "Time taken 59.72sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "tic = time.time()\n", + "traj = pcs.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed)\n", + "toc = time.time()\n", + "print('Time taken {:.2f}sec'.format(toc-tic))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "f99b26d6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(400, 600)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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oo93999+f0W971apVVfps8UpKSiotX7p0qTvvvPPczz//nHI723WAiC+ITz75xAHu+OOPd9ddd11s/hFHHBH6D/WVV15J+gOpaWEEiAceeCDwc7Vq1crdcsstbvny5e64445zRUVFrqSkxDkXfQbFT9e4ceNK20z3oy8rK3OFhYWxs9CqyLQspk+fHur336dPn0rznnjiiYTPvXbt2kppdt9994Syaty4ccb7nDt3buzZh5ocDj/8cDd79uyk31vY/0s1NfgH/2TDCSeckHB1Ut0hmbfeeqva21u/fn2V87VdBYiysrJYoU2ePDmjAkp2CVqTw3vvvZf0B1LTaipAvPzyy+6tt95yzjk3YsSIlJ/vzDPPdEDskv1Xv/pV4A/6+eefd08++aRzLvhAsnnz5tj+n376aQe4goIC16dPnyoFCr8sNm7c6IqKipKm++KLL6r83d5www1p0/zpT39Kufyiiy4KnN+mTZukZZVu+L//+7/Qf9f+8P7778fKsrb2mY/D119/7VQ19iDm+vXrq/w9HX744VmvE1TVud0EiDFjxri2bdu6srIyN2XKFNehQ4eMCi2Tf/DqDo899lgGh7OaUVMBoqbLwH8iGXALFy5Mmm7Lli2BVSN+dUsy69atcx999FFgWfTu3dsBsaubeCtXrnR33313lT9XcXFx2jR33nlnlbbdunXrKn8XI0eODP13HT98++23ofxuttXhqKOOcsccc0zO81EjASISibwRiUReTzZksoMwh/hL3mwj62uvvVbjhX7ooYcmTO+8887OOec2bdoUeJCqSXU1QIwZMyY2Hn8DL5th2bJlSfPrB4FVq1ZVKoudd97ZQfRgXtHRRx9drc+1YsWKtGmyufkYPwwZMqTK30XFOvCwB1Wt9u9m4sSJ7uabbw4lf//4xz9qtTzyZaiprjb+BjwALAZ+AR73hg3AN2nWRUSWiMiXIvK5iMzy5t0vIvNFZI6ITBKR5t78diLyi5f2cxHJqj3Wv//972ySc/rpp2eULlk3BkH8J7h9a9euZZdddqFx48bssMMOFBQUVHpKNZUlS5ak7aKhpkyaNImjjjqqxrcb/xxAVT/L888/n3TZG2+8AQR3Yew3eQxqbvzJJ59UKS8AH374YUbt7f0uubOxcOFC7rzzzqpkC4Abb7yxyutWRYMGDdiwYUO1tlG/fv2snl2K5zflBOjatWul5RdddFGV85WJyy+/PHC+39Q+36X8VlR1qqpOBY5R1XNU9Q1vOA84NsN9dFfVTqraxZt+DzhQVQ8GFgC3xqX9xkvbSVWvTLfh2ngoZvfdd6/W+hWfSv3xxx9Tpi8tLeXBBx9k9erVtG/fnj322KNK+42e1GXuzDPPZObMmVXaV6bi2+lno2LXEvGOOOIIIPhhsV//+tcANf6sRbt27UL57X388cfst99+CU9x54Mzzjgj6bILL7wwcP6xx5YfPsrKyqrUE8F9993HfvvtF5ved999s1q/ZcuW7L///lnvN94NN9wQOL9JkybV2m5dkWnY3lFEYqUvIu2BHauyQ1V9V1X9p5BmApl3QlNBqheq1JT69etnlM7vOz/dP3e6B7Auvvhirr/++mq9KWzChAnUq1evzr3opaoPMfn9AAVp2bIlEBwgdthhByA4QEQikYz3P2rUqIQ+lxo2bMjee++d8fqZat68ecrlF198Mb/61a9qfL/Vcf/99/P+++8nXR7UOdzIkSMTnuDesGEDl112WaV033//Pffddx9DhgwJ3PbgwYMTTuDuu+++hOXpejgYOXIk8+bNi12FBgnqZide/G+6sLAwNp6sf6x8k2mAuA6YIiJTRGQq8CEwMIP1HPCuiBSKSNC12KXA23HT7UXkPyIyVUTSXqGkOrOsKRWfWo0X38Fa48aNKSoqSnvm7p8hJhvGjx8PwF/+8pfYOi+88ELKdQoKCth///1j43379gWi/wDp1vOH2rDPPvtUab1hw4ZVym+bNm0oKChg0qRJAPTt25eCggImT57Mc889R9euXZk6dSoQfYI0ft2ddtqJhQsXZrz/RYsWJZTR4sWLmT9/PhMmTKjS50lm8eLFFBUVxYaKbrrppoQz75py2GGHVXnddE/mfvfdd5WqYU455ZSEK7Di4uKEJ7XffPNNrrrqKlavXk2vXr04++yzE9YfNGgQo0ePZv78+QknXBWruvz/yZ49ewZWYR100EEUFRXFeu49+eSTK6Wp+MT57Nmz6dWrFwAtWrSIrQvlJyRQOy+VqhWZ3Khw0RvWjSORyCHe0DjDdVp7f/eIRCJfRCKR4+KW3R6JRCZFIpGCuO3v5o13jkQiyyKRSLNU2/ebRIY1+M1oky3fuHGja9q0qYsWYzg3eSGx7Xw+D/l0wzD+2YP7778/oYXVf//7X+dc9ZrJBg3+Dd+g39K0adOccy7tg17Jho4dOyZM+w0q7r33Xrd27Vp39dVX19jn6Nu3b2z8qquucqqasLzi5xs3bpxzzrkFCxYENiioWBbx4p8mds65U089NTY9ZsyYWDr/+7v22msrbWfdunVu4MCBbsGCBYGfZ/jw4Q5wbdu2Tdjv1q1b3erVqxO2l+vfbaZDjTZzjUQiDSORyLWRSOQVb7g6Eok0zGTduG0MiUQig73xiyORyIxIJNI0RfopkUikS6pthh0gfIWFhW7evHmuW7duCQcO56IvWZk5c2Ys7QUXXJBym++8807W+Rg3blyV8h//EppLLrmkUpcE+TwMGDAg45ZrmTyBXHEoKytzPXv2dFDeXNk/qG7YsME559yXX37poPLBt6rD119/nfSg6D/r07179yptu2KXFnPmzHFPPPFEwjMoNXWAW7x4cWzcb1E2YcKE2LyK+3r00UddOpdffnml9StuxznnZs6cGZt+/vnnE9LNnTs3IdAHqfhZJk6c6F544QUHuHPPPbdS+s2bNydsr6Z/5+eee27aNFU58arpFwY9AnQGxnhDZ29eUiKyo4js5I8DpwBzReRU4Cagt6r+HJe+hYjU98b3BToAizLMX43xu8aNd9hhh7H//vszffr02KXw448/DkCrVq1iN0oBnn766ZTbP+WUU7LOU6o6+D/+8Y8J+995551j4/3794+NX3vttYHvom3atGnSbR9wwAGx8V133ZXbb7894zxnKpubk/GtrDp37sxnn32W0XqHHnpoyuX+/YX4+woFBQWx+xvOqzZ89tlnefDBB9lxx+jtN//+1HfffcdvfvMbIHUHkekku9/lnItVccVXdWV6I3Svvfaq9PKsJk2acOmllyZ0UFlT4qt9OnbsCEQbQVTk/z5T/b59f/nLX2jZsiVvvfVWpWV//etf+fTTT4Foo4UtW7bw7LPPJnR4CNFenrOpTl22bBl9+vThjDPO4Iorrgjs9j1Z+bVu3RqIfv74+1epfPXVV3z44YcJ1dTx+b333nspKipiyZIlCVWQzZs359VXX027/Srd18wkikQikS8ymVdh+b5etdIXkUhkXiQSud2bv9CrPvrcG/7uzf+9l+7zSCQyOxKJ/C5dvsK4ghg/fnzKM4xMpNp+Vc4yBg8enDDtnxFPmTLFOecSHry58MILY+NTp06NjX/77bdZX738+c9/jo3vs88+afN+3XXXuZ122imjbf/zn/9006ZNc5s2bXKAO++889Ku4z/zANEHHTMty6B+t+KHDRs2uMWLFyc83eqci/0WPvvss8Dv2X/wr127drF+l2bPnu2+//77Kv32lixZEvg7infUUUfF5s+bNy/l9m688Ub30EMPuR9++KFSWcU/N5LpbzfTIb5KqeK2f/e738Wmn3rqKQe4yZMnp/+ncok9JlSFfzXTrl07d+CBBwamif8cmYpP748fdNBBDnAffPCB27x5c0bdn/z888+Vthl/5VXxWar4NOl+C4AbNmxYbLymq5hmRyKR/eKm941EIrMzWTfMoaYCxK677hobj++grqoqbv8Pf/hDwjbHjh3rjj322IReUn/zm9+4k08+OTB/8esDrnPnzg7KA8T777/vIHqQ3bRpk7vttttc3759XVlZmRs9erQ79NBDY3krLi52b775ZkblMmTIkFjali1bBn62iv9Q11xzjQPcWWedlTatb926dQk9mjZq1ChwnfiuPy655JK0+fGHjRs3Jjyw5w933XWXW7x4cSwfo0ePdoC74oorYvNWrlyZ9HtetGiRg2iA+PWvf+0At2DBgkr5WrRokVu4cKGbNWtWpTzE13v7TyVX/B3F87s38efHb6tikH3qqacSHqBMVv4VVfX/aO7cue7f//530gBRUVlZWa2+JzqTfWVaRkHrxI/vvffeDqJ9wTnnYj1FN2jQIGn5bd26NeU2t2zZErjfv/3tb27+/Plpv5+//vWvsfGarmK6EfgwrhXTv4DgBsB5KP71iZlc7mbjmWeeqdQWvH///kybNo327dsDMHnyZIqKinjvvfcCt9G4cWMKCgpiVSD+y2h8J510El999RXjx4+nUaNGDBs2jJdffpmCggIGDBiQ8ABfq1at6NmzZ6xlSL9+/ZLmfdasWbEqoEzfj3DPPfdw3XXXpXy9ZkU77bRTQnPBitUAfrVNfJWB34zQ/2y77LJLbNk+++yT0Gxyhx124I9//CPOuYQHKo899ljatWtXaT/xzU1btGiRNN9t27blkksuYdKkSbF3cO+1116V0rVv35799tsvsBlrhw4dYuOZPCzml018KzeIvq/BbwFXMa0vVXPOeM65KrXjP+CAA+jSpUusCi7dNgoKCmJVUHVNNu9NOPjgg2PjM2bMYNSoUSxbtgwof0Wr3zy54v+R/6wOJH7/M2bMYNq0aQB06RJ9hCxZFeTcuXPTNtt+4403qtTMPKMAoaofEL0ncC1wDSCq+mHWe8uBd955h++//z423aNHj0pp4punbdq0ifbt21ervXn8Kyx33HHHpF+M/8M66KCDUm7vm2++Yccdd2T69Ok888wzDB8+nNNOO43OnTtXOY9+E91OnTqxadOmwKd3O3fuHKtjrfgUdLK3yzVv3pwRI0ZU6xWsL7zwAocffnhs2v/HiD/g+fdTDj30UH788UfmzJkTW/bwww/z6KOPxqaTHXgrPljVr18/7r///oyfZK5Xrx7jxo2jU6dOXHPNNTjnUt6DqJiPig9ZxQe5ZPwyiH9ADAj8vVa8v5TuOYt4foCdOHEir732WsbrQbT+/f3338/rF2adddZZGaedOXMmq1evBuDII4/k2muvjTXp3m233YDy+3nnnnsu48eP5+qrr2bJkiWxptgVHXnkkbEmze+++y4zZsxIev+kX79+CcuCfkdFRUVVew4pk8uMmmjFFMYQVMW01157uYYNG1a6TPSnL7300krr/Otf/4qN//nPf441YasOf3sTJkxwU6ZMCbxs3bhxo5sxY0bCPL874oMOOqhSi6hUsr1U91uF3H333c455+666y4HuIYNG8bqT4cPH+6++eabhP3//e9/j/X2WrEc4y1btizl5W6Qisvuuusu161bt1ifSitWrHClpaVuyZIlleqj/XsZEO1nK1lrlfjOA8Pk7+POO++MzYtv8QK4E088MSFtRQsXLqzUssmvunvhhRcC1/3ggw/cm2++6e677z63devWhN/Fxo0bM/7sW7dudRs3bqz0eYCkVZR1XTZVTNV17733OiDWwnHjxo2uf//+gfd+qrpPf70VK1Y456IvlNpnn33cxIkTK303t912W8I9tpy3YsqVAQMGpHwBfNATjvERt2HDhtSrV6/KfcNU1Lx589hZuH+p6GvatClHHnlkwrxPPvmEVatWMWfOnGpdIaTjfz7/rNLvAmTLli1MnTqVCy+8kKuuuqpSVyNXXHEFp512Wtrtp2odlczw4cMTzqiGDBnC9OnTueaaa4DoWXL9+vVp27ZtpbOp+LOjXXfdNenZVnwrr9oQ/xRwxRYvxxxzDBBt6VLxYTCIXiXEV0FA9AwUkj/cduKJJ9KzZ09uvPHGSr/hpk2b8vDDDwc+EFZRvXr1Er7D+Ifd/LPj/fbbr9IrVU3Uddddx/Tp02MtDJs2bcrYsWMDu+555plnUr53OpnJkyczYsSIWLXmQQcdxNKlS2P/08cff3wsbdOmTat2TMskilQ2zzp8AAAW2UlEQVSlFVNtDEFXEB9++GFgVL7pppsc4K688sqE9P/85z8TbpDed999WUfyIP72ysrK3IwZMxzgunbtmtU2LrnkktCvIB555BHnnEu4gRWvYjvveO3bt3etW7dOutyff/HFF1frbLOsrCz22s1UiouLXXFxcaws0uUrTOn2Hf9bDWM/vpq6CRx/ReY//3HAAQfE8rDDDjvUyH7ClElZHHfcce6kk06qhdyEx68ROeGEExKu+uIbatT0FcRWEYlVenrPKYTfU16GrryyvF+/oJuEEO2u4Y477mD48OH8/ve/j83v0aNHws2fmj7DLCgoiJ3dZtvVxJNPPlmjeYnnd3Xgf3Y/jxVvLPrzr7/++krbWLhwIUuXLuWdd96J3ZQL4pyrVl4LCgoy+l5atWpFq1at0qY79dRTQy3bTPTs2bPS1WNdVlBQUOlqxvfFF1+waFGtP7IUiqlTp6bsWypf9ejRg59++inr9TK9a+G3YloEFABtgUuy3ltIWrVqRb9+/Rg/fnzSANGgQQOGDh0KwNlnn53Qj058dcQll9TMxxo4cGCsr6hOnToxdOhQzj///Ky2cfTRR1erW+pU/Ko2P0D4fytehhYUFLB69erAA7SfNt3Df1u2bOGLL77gkEMOAeCOO+6oXuar6e23306fKGRvvvlmrrOQtcLCQtatWxfrodgP/PGteEzu+d9L/IlZQUEBvXv3zvph14wChKp+ICIdACmfpZuy2lOICgoKeOaZZ3jssccyqvtO9fRopr23phPfT32DBg1yflCsyO9G3K+v9K8UguruKzarzVZpaSkHH3ww7777LsOGDWPw4MHV2p7JjWbNmtGsWbPYVWaqJtImd/ym0+ecc07CPb10PdMGyabdU2egnbdOJxFBVVP3K1FL/EfoM70xmqq5V13qi7979+588sknvP7663Tq1KlGtz1kyBA6dOgQ68u/pgJjkIEDox3//va3v+W3v/1taPsJ4neXUVecddZZ1X7HSK7ttttu/PzzzwnNw03dsffee1NSUkKjRo1o1apVtV46llGAEJFngP2Azym/9+CAOhEgguqdR44cycsvvxyY3g8CQW3H61KAuP322+nVq1coddU77LBDQl9Nqa4gquvoo4+u8W1m4rPPPqtyF+Nheemll2p0e9OnT89JS6Jt5YU426rGjRsDmb85M5lMryC6APt7j9DXGX71SNBrBQcOHBg7c03muOOOCyVfNaVJkya1diMzzCuIXIl/2G5bFdQBozE1JdNWTHOB4Lu/OeR3P5HtWW9dukqoK/wAEf/ilppQ21VKxpiak/IKQkTeIFqVtBPwlYh8BsRuTqtq73Czl5pzzg72NcTvM6Ymbd261b4fY/JYuiqmv9VKLqqhKgegbt260a5du6Tvut0eVafvpGRq6mn0fLRmzRoLjibvpQwQqhrck1QdUpV/wp133pnFixeHkBtjomq7Sw9jwpCuiukjVe0mIuuJVjX5CgCnqs1CzV0GauosbdmyZdV+4jefBfVRZYzZtqxfvx7nHAsWLMgofboriG7e36q/RzFkNRUg/O6vt1fxr/M0xmybsn2NQboriJSP0Krqf7PaWw2zm9Q1p3fv3rzxxhsJ77c2xmzf0t2kLiRatRR0FHbAvgHzY0RkCbCe6MN1paraxQs6LxJ9KnsJcLaq/iQiBcAooAfwM3Cxqs4O2GyC7flGaE3r1atXrrNgjKlD0lUxta+BfXRX1R/jpm8BPlDV4SJyizd9M3Aa0bfWdQCOIPq+ibSns3YFYYwx4cjo9FtECkTkfBH5kze9j4h0reI+Twee8safAvrEzX9aVZ2qzgSai0jajnQsQBhjTDgy7WpjDFAGnAgMJVptNAFI15eBA94VEQc8qqqPAXuq6gpv+ffAnt54ayD+pQLLvXkrSMI5x5YtWygqKsrwY2y7SkpKrBw8VhblrCzKWVlkL9MAcYSqHiYi/wHw7hlk8mRVN1UtFpE9gPdEZH78QlV1XvCossaNG9OxY8fqbGKbUFRUZOXgsbIoZ2VRzsqiXGFhYUbpMr3Du0VE6uM9CyEiLYheUaSkqsXe35XAJKAr8INfdeT9XeklLwb2jlu9jTcvJatiMsaYcGQaIB4ieoDfQ0SGAR8B96ZaQUR2FJGd/HHgFKKd/r0O+N2vXgS85o2/Dlzo3e84ElgbVxWVlAUIY4wJR6ZvlBsvIoXASUSbvPZR1XSVeXsCk0TE389zqjpZRP4NvCQi/YGlwNle+reINnFdSLSZa0bv/rRmrsYYE45MXxjUX1WfAObHzRuuqrckW0dVFwGHBMxfTTTQVJzvgAGZ5CeeXUEYY0w4Mj39/r2IxF5AKyIPAy3CyVLmNm3axJYtW3KdDWOM2SZl2orp98DrIlIGnAqsUdX+adYJXcOGDWv8BTfGGGOisumL6TLgVeBj4G4R2TXXfTEBde6dw8YYs63Ipi8m/29Pb0jbF1PYrLM+Y4wJT230xRQqa8VkjDHhSFfFdKKq/ktEzgxarqoTw8lW5ixAGGNMONJVMR0P/Av4XcAyB1iAMMaYbVS6Kqa7vL8ZPbRW2+wehDHGhCddFdP1qZar6oiazU727ArCGGPCka6Kqc6+i9pnAcIYY8KRrorp7trKSFU45yxAGGNMSLI+uopI2vdE1ya7B2GMMeGoyul3nTki//LLL7z99tu5zoYxxmyTqhIg/lnjuTDGGFPnZB0gVPWOMDJijDGmbsn0fRDr8V43GmctMAu4wXv3gzHGmG1Ipt19jwSWA88RvQdxLrAfMBsYB5wQRuaMMcbkTqYBoreqxr8d7jER+VxVbxaR28LImDHGmNzKNED8LCJnA694032BEm+8YtVTAhGpT7QqqlhVe4nIdMofwNsD+ExV+4jICcBrwGJv2URVvSfD/BljjKlhmQaIfsAoYIw3PQM4X0SaAFenWXcgUAQ0A1DVY/0FIjKBaFDwTVfVXhnmyRhjTIgyChDeTeigHl0BPkq2noi0IfpyoWHA9RWWNQNOBOpkR4DGGLO9y7QVUxvg/4BjvFnTgYGqujzNqiOBmwju06kP8IGqroubd5SIfAF8BwxW1XmZ5K+oqCiTZNu0kpISKwePlUU5K4tyVhbZy7SK6UmiLZjO8qbP9+b9NtkKItILWKmqhd79hYr+AIyNm54NtFXVDSLSg+j7rztkkrmOHTtmkmybVlRUZOXgsbIoZ2VRzsqiXGFhYUbpMn1QroWqPqmqpd7wD6BFmnWOAXqLyBLgBeBEEXkWQER2B7oS91S2qq5T1Q3e+FtAQy+dMcaYHMj0CmK1iJwPPO9N/wFYnWoFVb0VuBXAu4IYrKrne4v7Am+qqt8SChHZC/hBVZ2IdCUavFLuA2D06NEZfgRjjDHZyPQK4lLgbOB7YAXRA/zF1djvuZQHG19fYK53D+Ih4FxVTdmEFqBp06bVyIYxxphkMm3FtBToHT9PRAYRvQmdyfpTgClx0ycEpBkNZH05YO+DMMaYcFTn6JrydaS1xd4HYYwx4ahOgKgTR2a7gjDGmHBU5+ia9v5AbbAAYYwx4Uh5DyJJN98QvXpoEkqOsmRVTMYYE46UAUJVg56ArlPsCsIYY8KR90dXu4Iwxphw5H2AsCsIY4wJR94fXS1AGGNMOPL+6GpVTMYYE468DxB2BWGMMeHI+6OrBQhjjAlH3h9drYrJGGPCkfcBwq4gjDEmHHl/dLUrCGOMCUfeBwi7gjDGmHDk/dHVAoQxxoQj74+uVsVkjDHhsABhjDEmUEavHK0OEakPzAKKVbWXiPwDOB5Y6yW5WFU/F5ECYBTQA/jZmz873fYtQBhjTDhCDxDAQKAIaBY370ZVfaVCutOADt5wBPCI99cYY0wOhFrFJCJtgJ7A2AySnw48rapOVWcCzUWkZZj5M8YYk1zYVxAjgZuAii8eGiYidwIfALeo6iagNbAsLs1yb96KVDv49ttvKSoqqrkc56mSkhIrB4+VRTkri3JWFtkLLUCISC9gpaoWisgJcYtuBb4HGgGPATcD91R1P23btqVjx47Vyeo2oaioyMrBY2VRzsqinJVFucLCwozShXkFcQzQW0R6ADsAzUTkWVU931u+SUSeBAZ708XA3nHrt/HmGWOMyYHQ7kGo6q2q2kZV2wHnAv9S1fP9+wpeq6U+wFxvldeBC0WkQESOBNaqasrqJbBWTMYYE5baaMVU0XgRaQEUAJ8DV3rz3yLaxHUh0Waul+Qgb8YYYzy1EiBUdQowxRs/MUkaBwyojfwYY4xJz56kNsYYEyjvA4QxxphwWIAwxhgTKO8DhFUxGWNMOPI+QBhjjAmHBQhjjDGB8j5AWBWTMcaEI+8DhDHGmHBYgDDGGBMo7wOEVTEZY0w48j5AGGOMCYcFCGOMMYHyPkBYFZMxxoQj7wOEMcaYcFiAMMYYEyjvA4RVMRljTDjyPkAYY4wJhwUIY4wxgUJ/5aiI1AdmAcWq2ktExgNdgC3AZ8AVqrpFRE4AXgMWe6tOVNV7ws6fMcaYYLXxTuqBQBHQzJseD5zvjT8HXAY84k1PV9Ve2Wzc7kEYY0w4Qq1iEpE2QE9grD9PVd9SVaeqjugVRJsw82CMMaZqwr4HMRK4CSiruEBEGgIXAJPjZh8lIl+IyNsickDIeTPGGJNCaFVMItILWKmqhd79hYrGANNUdbo3PRtoq6obRKQH8CrQId1+li5dSvPmzWsq23mrpKSEoqKiXGejTrCyKGdlUc7KInth3oM4BujtHex3AJqJyLOqer6I3AW0AK7wE6vqurjxt0RkjIjsrqo/ptpJu3bt6NixY0gfIX8UFRVZOXisLMpZWZSzsihXWFiYUbrQAoSq3grcCuBdQQz2gsNlwP8AJ6lqrOpJRPYCflBVJyJdiVZ/rQ4rf8YYY1KrjVZMFf0dWArMEBEob87aF/ijiJQCvwDnejeyU7JWTMYYE45aCRCqOgWY4o0H7lNVRwOjayM/xhhj0rMnqY0xxgTK+wBhVUzGGBOOvA8QxhhjwmEBwhhjTKC8DxBWxWSMMeHI+wBhjDEmHBYgjDHGBMr7AGFVTMYYE468DxDGGGPCYQHCGGNMoLwPEFbFZIwx4cj7AGGMMSYcFiCMMcYEyvsAYVVMxhgTjrwPEMYYY8JhAcIYY0ygvA8QVsVkjDHhyPsAYYwxJhwWIIwxxgQK/Z3UIlIfmAUUq2ovEWkPvADsBhQCF6jqZhFpDDwNdAZWA+eo6pJ027cqJmOMCUdtXEEMBIripv8KPKiqvwZ+Avp78/sDP3nzH/TSGWOMyZFQA4SItAF6AmO96QLgROAVL8lTQB9v/HRvGm/5SV56Y4wxORB2FdNI4CZgJ296N2CNqpZ608uB1t54a2AZgKqWishaL/2PyTa+//77/7h169alhYWFYeQ971g5lLOyKGdlUc7KIqZtJolCCxAi0gtYqaqFInJCGPvo3LlzizC2a4wxJtwqpmOA3iKyhOhN6ROBUUBzEfEDUxug2BsvBvYG8JbvTPRmtTHGmBwILUCo6q2q2kZV2wHnAv9S1X7Ah0BfL9lFwGve+OveNN7yf6mqCyt/xhhjUsvFcxA3A9eLyEKi9xie8OY/Aezmzb8euCUHeTPGGOMpcM5O0o0xxlRmT1IbY4wJZAHCGGNMoNC72giLiJxKtFVUfWCsqg7PcZZyQkTGAX6T4gNznZ9cEpG9iXbXsifggMdUdVRuc5UbIrIDMA1oTPT//BVVvSu3ucqdil3+5Do/ueS1LF0PbAVKVbVLsrR5eQXhfdkPA6cB+wN/EJH9c5urnPkHcGquM1FHlAI3qOr+wJHAgO34d7EJOFFVDwE6AaeKyJE5zlMuVezyZ3vXXVU7pQoOkKcBAugKLFTVRaq6mehzFqfnOE85oarTgP/mOh91gaquUNXZ3vh6ogeE1qnX2japqlPVDd5kQ2/YLlukVOzyx2QuXwNErFsOT3yXHcYgIu2AQ4FPc5yVnBGR+iLyObASeE9Vt9ey8Lv8Kct1RuoIB7wrIoUicnmqhPkaIIxJSkR+BUwABqnqulznJ1dUdauqdiLaY0FXEdnu7lHFd/mT67zUId1U9TCiVfQDROS4ZAnzNUDEuuXwxHfZYbZjItKQaHAYr6oTc52fukBV1xDtwWB7vFdVqcsfEXk2pznKMVUt9v6uBCYRrbIPlK8B4t9ABxFpLyKNiHbl8XqO82RyzOse/gmgSFVH5Do/uSQiLUSkuTfeBPgtMD+3uap9Sbr8OT/H2coZEdlRRHbyx4FTgLnJ0udlgPC6C78aeIfojciXVHVebnOVGyLyPDAjOirLRaR/unW2YccAFxA9S/zcG3rkOlM50hL4UETmED2hek9V38xxnkzu7Ql8JCJfAJ8B/1TVyckSW1cbxhhjAuXlFYQxxpjwWYAwxhgTyAKEMcaYQBYgjDHGBMrbzvqMMWZ7U5XOOUXk98ArwOGqOiub/dkVhMlrInK7iMwTkTles9YjQt7fFBFJ2cFZbRCRi0VkdK7zYWrdP8jigUfvmYeBVLHLGQsQJm+JyFFEz6YOU9WDgZNJ7KPLJOH1iGzyTFDnnCKyn4hM9vpWmi4iv4lbPBT4K1BSlf1ZFZPJZy2BH1V1E4Cq/ugvEJE7gd8BTYBPgCtU1YnIFOA/wLHAjsCFwK3AQcCLqnqH19HfZKAQOAyYB1yoqj/H71xETgHuJvrOhW+AS+J6UPXTTCF69tYdaA70V9XpInIx0EVVr/bSvQn8TVWniMgG4BGgB7ACuA24D9iHaP9Sfq8Be3vbbw08q6p3e9s6H7gWaOTt+ypV3ept91GigXQA8FE2hW3qrMeAK1X1a+8KegzRh0UPA/ZW1X+KyI1V2bBdQZh89i7Rg+QCERkjIsfHLRutqod79bRNiF5p+DZ7/eD/HXiN6MHyQOBiEdnNSyPAGFXtCKwDrorfsYjsDtwBnOx1fDYLuD5JPhuoaldgEJDJS3t2JNolxAFEX+zyZ6JdZZwB3BOXrivwe+Bg4CwR6SIiHYFzgGO8jvq2Av3itvupqh6iqhYctgFex5RHAy97Pfc+CrQUkXrACOCG6mzfriBM3lLVDSLSmejVQHfgRRG5RVX/AXQXkZuApsCuRK8C3vBW9c/AvwTmqeoKABFZRLQTyDXAMlX92Ev3LNEz8r/F7f5Ioi+r+lhEIHq2PiNJVv1OAwuBdhl8tM1Er2D8PG5S1S0i8mWF9d9T1dVe3icC3Yi+NKkz8G8vX02IdvcN0WAxIYP9m/xRD1jjnQzEiMjORE96pni/g72A10WkdzY3qi1AmLymqluBKUT/Eb4ELhKRF4heZndR1WUiMgTYIW61Td7fsrhxf9r/n6jYB03F6QKiB+g/ZJBNfx9b47ZfSuIVfHz+tqiqv79YHlW1TETi/2eD8lgAPKWqtwbko8QrL7ONUNV1IrJYRM5S1Ze9DisPVtUvgN39dF5V5GBrxWS2GxLVIW5WJ2Ap5QfbH71L8L5V2Pw+3k1wgPOoXF8/EzhGRH7t5WVHEYlksf0lQCcRqee9Sztpl8sp/FZEdvV6a+0DfAx8APQVkT28fO0qIm2rsG1TByXpnLMf0N/rgG8eNfh2TbuCMPnsV8D/ed1alwILgctVdY2IPE60G+PvifZmmi0l+jKVccBXRG8aly9UXeXdaH5eRBp7s+8AFmS4/Y+Bxd62i4DZVcjjZ0SrjNoQvUk9C0BE7iD6xrB6wBai91iWVmH7po5JccWasumrqp5Qlf1Zb67GVOC1Ynoz0weRjNlWWRWTMcaYQHYFYYwxJpBdQRhjjAlkAcIYY0wgCxDGGGMCWYAwxhgTyAKEMcaYQP8P+w6d/0xwNSEAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "traj.logl = None\n", + "traj.log_likelihood().plot(color='black')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", + "plt.ylabel('Log-likelihood')\n", + "plt.xlabel('Sample number')\n", + "plt.ylim((400, 600))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "c2d2631b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'Maximum likelihood adjacency matrix')" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "aux.plot_heatmap(nx.to_numpy_array(traj.maximum_likelihood_graph()), xticklabels=10, yticklabels=10)\n", + "plt.title('Maximum likelihood adjacency matrix')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "b96ba64a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'Maximum likelihood adjacency matrix')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nx.draw(traj.maximum_likelihood_graph(), with_labels=True)\n", + "plt.title('Maximum likelihood adjacency matrix')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "59be147b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0.5,1,'Traceplot of the numbre of graph edges')" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "traj._size=None\n", + "traj.graph_updates = None\n", + "traj.set_graph_trajectories()\n", + "traj.size().plot(color = 'black')\n", + "size_mcmc_index = list(traj._size)\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Number of graph edges')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", + "plt.title('Traceplot of the numbre of graph edges')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "thousand-aviation", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'Autocorrelation - #of edges')" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Auto correlalation plot \n", + "burnin = 1000\n", + "lag=1000\n", + "aux.autocorrelation_plot(size_mcmc_index[-burnin:], label = 'Clique-Separator', color = 'black', lag =lag)\n", + "plt.legend()\n", + "plt.ylabel('Graph size autocorrelation')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", + "plt.title('Autocorrelation - #of edges')" + ] + }, + { + "cell_type": "markdown", + "id": "88f82e2c", + "metadata": {}, + "source": [ + "## Running Elmasri (2020) Parallel junction tree sampler" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "beb85475", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 49999/49999 [00:05<00:00, 9191.65it/s] " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 94030 updates, for an average of 1.88 per iteration or 17274.58updates/sec\n", + "Acceptance rate 0.4152\n", + "Time taken 5.45sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "tic = time.time()\n", + "trajp = pdg.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed)\n", + "toc = time.time()\n", + "print('Time taken {:.2f}sec'.format(toc-tic))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "510906a2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(400, 600)" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nx.draw(trajp.trajectory[-3], with_labels=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "834e85ec", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "trajp._size=None\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories()\n", + "trajp.size().plot(color = 'black')\n", + "size_mcmc_index_parallel = list(trajp._size)\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Number of graph edges')\n", + "#plt.ylim((50, 250))\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "christian-senate", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Auto correlalation plot \n", + "burnin = 1000\n", + "lag=1000\n", + "aux.autocorrelation_plot(size_mcmc_index[-burnin:], label = 'Clique-separator parallel',lag =lag)\n", + "aux.autocorrelation_plot(size_mcmc_index_parallel[-burnin:], label = 'Parallel JT sampler', lag=lag)\n", + "plt.legend()\n", + "plt.ylabel('Graph size autocorrelation')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "8e4741a9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n", + "Acceptance ratio 0.116182\n" + ] + } + ], + "source": [ + "## by mcmc index and subindex\n", + "## of the graph\n", + "traj.graph_updates = None\n", + "traj.set_graph_trajectories(index_type = 'mcmc_index')\n", + "acc_cs = aux.acceptance_ratio(traj.trajectory)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "realistic-insulin", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n", + "Acceptance ratio 0.235505\n", + "mcmc_subindex\n", + "Acceptance ratio 0.144402\n" + ] + } + ], + "source": [ + "## by mcmc index and subindex\n", + "## of the graph\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories(index_type = 'mcmc_index')\n", + "acc_parallel = aux.acceptance_ratio(trajp.trajectory)\n", + "trajp.graph_updates = None\n", + "trajp.set_graph_trajectories(index_type = 'mcmc_subindex')\n", + "acc_parallel_subindex = aux.acceptance_ratio(trajp.trajectory)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "overhead-weekend", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Plotting joint acceptance ratio\n", + "xj, yj = smooth(x = None,y = acc_parallel[1] * 100)\n", + "xg, yg = smooth(None,acc_parallel_subindex[1] * 100 )\n", + "xcs, ycs = smooth(None, acc_cs[1] * 100)\n", + "\n", + "\n", + "ax = plt.plot(xj, yj, label=' Junction-updates - parallel jt sampler')\n", + "plt.plot(xg, yg, label='Graph-updates - parallel jt sampler')\n", + "plt.plot(xcs, ycs, label='Clique-separator parallel sampler')\n", + "plt.ylim((0, 40))\n", + "#plt.xlim((0, max(x)))\n", + "plt.legend()\n", + "plt.xlabel('Sample number')\n", + "plt.ylabel('Cummulative acceptance rate (%)')\n", + "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", + "plt.grid(False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aeed92b", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.16" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 08f40035c4d41da2398e300e954935c5f59f6ecd Mon Sep 17 00:00:00 2001 From: Mohamad Date: Fri, 16 Sep 2022 14:49:50 -0400 Subject: [PATCH 06/10] improved junction tree plot --- parallelDG/graph/junction_tree.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/parallelDG/graph/junction_tree.py b/parallelDG/graph/junction_tree.py index d6d1072..ca3091d 100644 --- a/parallelDG/graph/junction_tree.py +++ b/parallelDG/graph/junction_tree.py @@ -103,9 +103,9 @@ def plot(self, **args): options = { "font_size": 12, "node_color": "white", - "edgecolors": "black", "linewidths": 1, "width": 1, + "edgecolors": "tab:gray", 'node_size': [ (len(node) + 1) * 600 for node in self.nodes()], } no_frozen_labels = {node:','.join(map(str, sorted(tuple(node)))) for node in self.nodes()} From 75c68a75574a3ec93fb066ca42f93b7f81b2a660 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Fri, 16 Sep 2022 15:01:58 -0400 Subject: [PATCH 07/10] update to ibarra example --- examples/Clique-separator-graph-example_1.ipynb | 13 +++++++------ 1 file changed, 7 insertions(+), 6 deletions(-) diff --git a/examples/Clique-separator-graph-example_1.ipynb b/examples/Clique-separator-graph-example_1.ipynb index b55fd56..6866593 100644 --- a/examples/Clique-separator-graph-example_1.ipynb +++ b/examples/Clique-separator-graph-example_1.ipynb @@ -192,7 +192,7 @@ }, { "cell_type": "markdown", - "id": "8576947e", + "id": "b7acdb4f", "metadata": {}, "source": [ "## Generating true covariance matrix, based on interclass model" @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "88f82e2c", + "id": "54dea9a0", "metadata": {}, "source": [ "## Running Elmasri (2020) Parallel junction tree sampler" @@ -763,15 +763,15 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 45, "id": "overhead-weekend", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -785,6 +785,7 @@ "xcs, ycs = smooth(None, acc_cs[1] * 100)\n", "\n", "\n", + "plt.figure(figsize=(8,4))\n", "ax = plt.plot(xj, yj, label=' Junction-updates - parallel jt sampler')\n", "plt.plot(xg, yg, label='Graph-updates - parallel jt sampler')\n", "plt.plot(xcs, ycs, label='Clique-separator parallel sampler')\n", @@ -800,7 +801,7 @@ { "cell_type": "code", "execution_count": null, - "id": "7aeed92b", + "id": "9f217b3f", "metadata": {}, "outputs": [], "source": [] From b2d007c8b4808a90386071571ed942842d8d98b0 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Fri, 16 Sep 2022 15:02:25 -0400 Subject: [PATCH 08/10] adding clique-separator sampler code --- parallelDG/graph/clique_separator_graph.py | 20 +++++++++++++++----- 1 file changed, 15 insertions(+), 5 deletions(-) diff --git a/parallelDG/graph/clique_separator_graph.py b/parallelDG/graph/clique_separator_graph.py index 9750fe8..186f631 100644 --- a/parallelDG/graph/clique_separator_graph.py +++ b/parallelDG/graph/clique_separator_graph.py @@ -3,7 +3,7 @@ from networkx.drawing.nx_pydot import graphviz_layout import collections import numpy as np - + class CliqeSeparator(nx.DiGraph): def __init__(self, data=None, **attr): @@ -75,18 +75,28 @@ def to_graph(self): def plot(self, **args): #pos = nx.planar_layout(cs) - pos = nx.spring_layout(self) + #pos = nx.spring_layout(self) pos = graphviz_layout(self, prog="dot") - no_frozen_labels = {node: tuple(node) for node in self.nodes()} + no_frozen_labels = {node:','.join(map(str, sorted(tuple(node)))) for node in self.nodes()} cliques = {clique:"tab:blue" for clique in self.get_cliques()} separators = {sep:"tab:red" for sep in self.get_separators()} cliques.update(separators) color_map = [cliques.get(n) for n in self.nodes()] + + options = { + "font_size": 12, + "node_color": color_map, + "edgecolors": "black", + "linewidths": 1, + "width": 1, + 'node_size': [ (len(node) + 1) * 600 for node in self.nodes()], + 'alpha' : 0.9, + "edgecolors": "tab:gray" + } nx.draw(self, pos=pos, - node_color=color_map, labels = no_frozen_labels, - with_labels=True, **args) + with_labels=True, **options) def clique_separator_graph(jt): """ Returns the clique-separator graph as in Ibarra (2009) From fa4d1a831ddf5f0ce13fc52755f9382e03c75795 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Sun, 18 Sep 2022 18:45:41 -0400 Subject: [PATCH 09/10] computing excution speed --- examples/Gaussian graphical model.ipynb | 459 ++++++++++++++++++++++-- 1 file changed, 434 insertions(+), 25 deletions(-) diff --git a/examples/Gaussian graphical model.ipynb b/examples/Gaussian graphical model.ipynb index ec3fba1..fc3f750 100644 --- a/examples/Gaussian graphical model.ipynb +++ b/examples/Gaussian graphical model.ipynb @@ -16,17 +16,17 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 110, "metadata": {}, "outputs": [], "source": [ - "SAVE_PLOTS = False\n", - "SAVE_LOC = '~/src/'" + "SAVE_PLOTS = True\n", + "SAVE_LOC = '~/'" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 108, "metadata": {}, "outputs": [ { @@ -95,33 +95,33 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ - "p = 50\n", + "p = 100\n", "sigma2 = 1.0\n", "rho = 0.9\n", - "n = 100\n", + "n = 200\n", "delta = 5" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Number of edges 85, number of nodes 50\n", - "loglikelihood 1592.785678\n" + "Number of edges 218, number of nodes 100\n", + "loglikelihood 7608.749225\n" ] }, { "data": { - "image/png": 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+ "image/png": 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\n", 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" ] @@ -146,17 +146,19 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -189,7 +191,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -203,23 +205,23 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Parallel Metropolis-Hastings samples: 100%|██████████| 499999/499999 [00:43<00:00, 11371.10it/s]" + "Parallel Metropolis-Hastings samples: 100%|██████████| 499999/499999 [00:59<00:00, 8345.39it/s] " ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Total of 706001 updates, for an average of 1.41 per iteration or 16051.76updates/sec\n", - "Acceptance rate 0.0509\n", - "Time taken 43.99sec\n" + "Total of 759063 updates, for an average of 1.52 per iteration or 12664.76updates/sec\n", + "Acceptance rate 0.0553\n", + "Time taken 59.95sec\n" ] }, { @@ -454,12 +456,12 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -475,7 +477,7 @@ "plt.ticklabel_format(axis=\"x\", style=\"sci\", scilimits=(0,0))\n", "plt.ylabel('Log-likelihood')\n", "plt.xlabel('Sample number')\n", - "plt.ylim((800, 1600))\n", + "#plt.ylim((800, 1600))\n", "save_location('ggm_loglikelihood_traceplot')" ] }, @@ -488,12 +490,19 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 11, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mcmc_index\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1209,6 +1218,406 @@ "save_location('ggm_acceptance_uniform_mbc')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Speed analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "def run_model(p):\n", + " sigma2 = 1.0\n", + " rho = 0.9\n", + " n = p\n", + " delta = 5\n", + " seed = p\n", + " np.random.seed(p) # generates same data as in the paper\n", + " ar_graph = dlib.sample_random_AR_graph(n_dim=p, max_bandwidth=delta)\n", + " ar_cov_mat = gic.cov_matrix(ar_graph, rho, sigma2)\n", + " ar_df = pd.DataFrame(np.random.multivariate_normal(np.zeros(p), ar_cov_mat, n))\n", + " n_samples = 100000\n", + " randomize = 100\n", + " graph_prior = ['uniform']\n", + " tic = time.time()\n", + " traj = pdg.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed)\n", + " toc = time.time()\n", + " print('Time taken {:.2f}sec'.format(toc-tic))\n", + " traj_single = pdg.sample_trajectory_ggm(dataframe=ar_df, \n", + " n_samples=n_samples,\n", + " randomize=randomize, \n", + " graph_prior = graph_prior,\n", + " delta = delta, \n", + " seed = seed,\n", + " single_move = True)\n", + " return (p, 1000 * traj.time/traj.n_updates, 1000 * traj.time/n_samples, 1000 * traj_single.time/n_samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 99999/99999 [00:23<00:00, 4238.82it/s]\n", + "Metropolis-Hastings samples: 0%| | 300/99999 [00:00<00:33, 2991.24it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 199826 updates, for an average of 2.00 per iteration or 8468.59updates/sec\n", + "Acceptance rate 0.3972\n", + "Time taken 23.60sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Metropolis-Hastings samples: 100%|██████████| 99999/99999 [00:22<00:00, 4395.62it/s]\n", + "Parallel Metropolis-Hastings samples: 0%| | 268/99999 [00:00<00:37, 2668.97it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 99763 updates, for an average of 1.00 per iteration or 4384.00updates/sec\n", + "Acceptance rate 0.1901\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Parallel Metropolis-Hastings samples: 100%|██████████| 99999/99999 [00:19<00:00, 5109.90it/s]\n", + "Metropolis-Hastings samples: 0%| | 142/99999 [00:00<01:10, 1416.97it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total of 166134 updates, for an average of 1.66 per iteration or 8485.29updates/sec\n", + "Acceptance rate 0.1798\n", + "Time taken 19.59sec\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Metropolis-Hastings samples: 100%|██████████| 99999/99999 [00:38<00:00, 2616.52it/s]\n", + "Parallel Metropolis-Hastings samples: 0%| | 0/99999 [00:00\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
nserialparallelsingle_move
0500.1180830.2359610.227562
11000.1178510.1957910.382242
21500.1388820.2332880.487897
32000.1992810.3811630.583012
43000.3656450.7706441.299936
55000.9742472.8797782.938213
\n", + "" + ], + "text/plain": [ + " n serial parallel single_move\n", + "0 50 0.118083 0.235961 0.227562\n", + "1 100 0.117851 0.195791 0.382242\n", + "2 150 0.138882 0.233288 0.487897\n", + "3 200 0.199281 0.381163 0.583012\n", + "4 300 0.365645 0.770644 1.299936\n", + "5 500 0.974247 2.879778 2.938213" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.DataFrame(res, columns=['n', 'serial', 'parallel', 'single_move'])\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(x='n', marker='*', color='black', style = [':', '-', '-.'])\n", + "plt.ylabel('Seconds per 1000 updates')\n", + "plt.xlabel('Number of vertices')\n", + "plt.grid(False)\n", + "plt.legend(['Serial sampler', 'Parallel sampler', 'Single-move sampler'])\n", + "save_location('time_per_1000_updates')" + ] + }, { "cell_type": "code", "execution_count": null, From 3bd1f5c306f67a39f19cd674473d5ab126f3a1a0 Mon Sep 17 00:00:00 2001 From: Mohamad Date: Tue, 20 Sep 2022 15:22:59 -0400 Subject: [PATCH 10/10] updating noteboook --- examples/Clique-separator-graph.ipynb | 36 +++++++++++++++++---------- 1 file changed, 23 insertions(+), 13 deletions(-) diff --git a/examples/Clique-separator-graph.ipynb b/examples/Clique-separator-graph.ipynb index 31d04ed..a8b953e 100644 --- a/examples/Clique-separator-graph.ipynb +++ b/examples/Clique-separator-graph.ipynb @@ -13,10 +13,19 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 16, "id": "5b3e9d28", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", @@ -56,13 +65,13 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 17, "id": "a4b7a09d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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pdcrdxbe6B4Ef1Oc627bt2vu3a8fSiy7itH/5FzqNH8+BBx7IlClTOOOMM0ilW6dt7ryTbddcQ/sdO+p/3Tzdxh988AFDhgzhhz/8Ieecc87Oc/v1i1W11q2L3fOLF8dCHJ07x/Hk0aOdhAWNt4WkpL2KWxk2pTvuiFWw8nRJLyB28a4hZ1/fHFuBfdq2pW1Fvo7j2lXusw/f7tmTl7ZuZfPmzQwZMoSpU6dSlNP63XLXXVRefz3FqRSp2n4cUqnYes3pNi4vL+e0006jf//+3HHHHQ2+z1attipqDd1CUtJex+7oplTLWtcHgJHUHsAQuypSeQJ4BTCUuFTpIGK1rNy2bNixg58UF/Pmm2+ybNkyPvzwQwYMGMCKFSuqnVd03XXMnTCBuZ06ERrYbVxRUcGoUaM47LDDmDRpUh1fjarZ1SpqkloMW8JNbeTIWtfM1iYAFGidDiUubfp/xMlTpwOXAdfknlhUBKtWQbduhBCYMmUKkyZNYvr06QwZMqTqtMrKSgYMGMDVF1zAN7dtg8WL+eDtt1n41lsMueGGgt3G1113Ha+++irPPvssHTp0aPDX2Go1pIpahpPXpJYnqGktXBhCSUkIMYYb9thnnxDat897rCeEp7M+Hwvh8nzXKC4O4Y47qt3S/PnzwyGHHBJuvPHGsGPHjqrnS0tLw0EHHRQ+/PDDENauDeu+//3wu333DWHYsBAuvDCE228Poays6vy77rorHHPMMWH9+vXN9s/ZIixcGKa2axf6QmgP4eKc79kj6e9vRwhfgPC77OMlJSGUlib9FUhqJLaEm8OutnqOPTaOGeZxH/ASsSW8ATgT+CkwIt/Jo0bBgw9We2rNmjV84xvfoKioiIcffpguXboAcMs553DOG2/Qa/VqAuklUhlZY5QvnHwy35o6lZdeeokePXrU/+sSjBzJ47/7HW2IRVHKgenpQ+8SZ8s/QSyOMotYTW0FseeDVCoOC+RuISlpr+SYcHMYMyZ2IzZ0zeyBBxY8bSCwFPgUsXxlP+DcAudufu+9Gs8ddNBBzJkzh169etG3b19KS0th2jR+OHs2xyxfDlu2VA9gqBqjDDNn8qUf/IAF3/qWAdxQ6SpqI4nfry45h1cD+wNDiAVczgL2Bd7OnJDeQpJ165rphiU1JUO4uezKmtkCS5wqia2kkcAm4H1ia3hcgbd+8g9/4OSTT2by5MnVJmXts88+/OxnP+POO+/k0X/6J7Zfey2p8nLa1vGlpEKgBDjs5z93slBD1VFFrR+x+tnviVtOziRuotE7+6RUqvp1ysriTPyLLoLhw+N/77jDoJb2AnZHJ6G+a2YLLHF6n1jV6kMgE9MziaUml+S8VXkqxW0dOjDnhBNIpVIsW7aMo446iq9//eucf/75HHHEEVBaSuXAgbTJeZ+LgOeJQX8QcAPwndyvpaQk/tFgqcn6uegiePjhqk9/RGz9Ts865ZfA/yXW7m4P/JbYIq5m1Cj47ndd3iTt5QzhPVlZWayWlWed8ZHEfXrHEndiuoS4veGvc08sKqJs0SLmLlnCCy+8wAsvvMD777/PAQccQFlZGT169OCxEPjcsmU1ZmEvBY4mtsTeBAYBTwN9s09yjLJhhg+Hp56q+jQ3hOcAFxDHir8I/Bk4G3gGOCH7OscdB++8E4cIdmFtt6Q9gxWz9jS5lZO6dYN//KPGaY8D1wK3E/cj/ifiLkrVpOs7dz/2WC449lguuOACAFatWsXcuXOZM2cOi2bNosf69Xk3kDg2+1Lpx9vkhHD2GKWVnepWRxW114jj/Zl+hROJezvPISeEly2D+hRwCWHn3tRgEEt7GMeE9xSlpXFNcY8esQv64YdjiylPAEP8hTyPOBb8PvAoUGMaV4FtAQ877DAuvvhifvWrX/HGuHG0r2V9778AJUBP4GDi+uQacscoVVjv3lBUxA5id3NF+pHZNvJE4A/EMAZ4Nf159pjw3UC/igo6AKOznn8Y6Jj1KCH+4fRn2BnEixY1zdclaZcYwnuCuion7Yp6bguYev112mzdWvD4vcTdlP5AnAiWN67Ly+P4tuqWrqJ2C3H4YBLwUPrjW4BTgQnAPxOrqZ0H/CtwRtYlDiZ2Y1+ac+kLiUMTmce9xGGLL2ZOKC+PY8iS9hiGcNKy1xA3xvB8A7YF/OCDD1i3fHmdl2xL3O1pNVBwLvSGDQ280Vaqe3cYMoQJqRQBqj0mpE+5GlhO/OPnHeB7WS8PxGDOt7wpV429ql3eJO1xDOEklZY2vIhHIbXUdw4hsHr1ap588kluvvlmzj33XHr06MGRRx7Jq++8U++32EHWetUcpcuX8/vf/54PP/xw976O1mD8+JpL1OqpjlXmVVYC84khXP0CDh1IexJDOEkTJ8YuwhzLiBOtOhFnJ/8u32tTKfjMZ2DYsLhc5eabYdUqKn/7W9761Kd45JFHGDduHGeccQbdu3enb9++3HPPPWzdupULL7yQ559/ng0bNnDKlVeyPc9exWXAb4jdmhXE2br/BXw1z61UdOjAR4cfztSpU/nMZz5Dv379GDt2LE8//TQfffTRLv7jtGAnngiTJ7OtXbuGva5tXSu4d3oQ+Ap59qp26EDao7hEKSkFlh/tAI4BriSuFX0RGE6coPO5nEuEoiKWPP00i1au5JVXXuHVV1/l9ddfp0uXLvTp04cvfvGL9OnThz59+nDwwQdX7SEM8NZbb3HnnXfy/H/9F29s2kS7nJm264jjkn8hFgfpQdwc4rJ8X0vWJhFbt26ltLSUuXPnMnfuXBYuXMixxx7LoEGDGDx4MAMGDKBjx467/M/WUixZsoTpX/oSd1RWxvXZ9VlmdOSRsGTnSvB8a4wzPkscS74k3/WGDYMnn9yNu5fUWAzhpBQoxLEE+BJxPDATmWcQl6n8NOcSm4F7unfnL6efXhW4J5xwAp07d877liEEXnrpJSZPnsyCBQsYM2YMV111Fd2vvHKXd3qqa53wli1b+NOf/lQVyn/+85/p3bt3VSj379+fkpKShr/vXmzHjh186Utf4oorruCyPn1ij8isWfHfMrtnJFNwY+jQ2IU9ZUqdhT4g1hQ/g1r2qj7kkDgRsHdvuOQSl5ZJCTKEk5JTOSkjXwifTlxykrdbOs/mDLkqKiqYOXMmkydPZt26dVx//fWMHj16Z/iVlsZfyrsyNt3Ailnl5eX88Y9/rArl1157jRNOOIHBgwczePBgTjnlFIp3cbx0b3Hbbbcxb948nn322Z29E/WponbHHVTeeCOVW7eyA7iZGML/TlzwnxlUuJy45Kn2nwqsqiXtCZLYukkhbg+YZ+vBbRCOgHB7+uNnIbSDcEah7Q6HDSv4Fps2bQr33HNPOOqoo8LJJ58cZsyYUW3rwmruvTdUNnTLxZKSEO69d7f+GT755JPw3HPPhfHjx4dTTjkl7LvvvmHgwIHhpptuCvPmzQvl5eW7df09zeLFi0PXrl3DypUrG/S6v//97+Ff/vmfQzmEm6gxsTrclP6elEPoBGFOQ76PqVSjfC8lNZwhnJQLLyz4S/EvEAZCOCAdvhdCuLTQL9BRo2pces2aNeHHP/5x6NatWzj33HPD//zP/4TKyso6b+m3X/1q2NK2bfylnNAv7Y8//jg888wz4YYbbggnnXRS6NixYxg8eHD4yU9+Ev7whz+ErVu3Nvp7Npft27eHvn37hl/84hf1fk1ZWVm45pprwgEHHBBuvPHGsG3YsLq/P7v6MIilZmcIJ+X220MoKqrXL8dTIPy/fMeKi0O4446qS7755pvhsssuC/vvv3+44oorwl//+td6387ChQvDgQceGDbMnh3CyJHx3oqLa75fUVE83kwby2/cuDE89dRT4Xvf+17o27dv6NixYzjttNPCrbfeGhYsWBC2bdvWLPfRGG699dZw+umn1+sPoo8++ihMmDAhHHDAAeHqq68Oa9asiQcWLoxh2RQhnAniZvreSjKEk/Pf/x1CmzYFW8LlEDZB+BmEwyFsyfcLs6goVK5dG+bPnx/OPvvs0K1bt3DTTTeFtWvXNuhWtm3bFnr37h0eeuihnU+WlcWAHzUqdnmPGhU/Lytr5H+IhtmwYUN44oknwnXXXRdOOOGEsN9++4UzzzwzTJo0Kbz88sth+/btid5fIfXtht6yZUv4t3/7t3DggQeGb37zm+Htt9+uedK999YriKdC6AuhPYSLc45tgjAGQhcIn4LwlexejpEjm+hfQVIuJ2YlIbtKVh7fB+4HthPXek4lrhfOFlIp3j3xRM4D1q9fz/XXX8/FF1+8SzONJ06cyPz585k1a1a1ZUx7g/Xr1/Piiy8yb9485s6dy8qVKxkwYACDBw9m0KBB9OnTh7YNWF+7y3I33ujUqWr28Y7OnTnllFO4/PLLueyyvIu8qKys5Ne//jU33ngjPXv25LbbbuOEE07Iey6w82eoll2UHicWAngWKKf6LOqLiMvhpgIHEGtVV23MkbXkTFITS/qvgFannq2Yuh6bUqlwSa9e4fHHHy882aoe/vrXv4YuXbqEFStWNOIXmZyysrIwY8aMcNVVV4Vjjjkm7L///mH48OHhzjvvDK+88kqoqKho3DdcuDCEESNiN33u8EK6+37ZMceEq046KW83dGVlZXj66adD7969w8knnxzmzZtX//cuLS08dJD1+GFOS3gZhP0gbCz085UzzCGp6RjCzamRxvPK27YNy7/3vd2+nYqKijBw4MAwZcqURvji9kxr1qwJjzzySLjyyivD5z//+XDAAQeEc889N0yZMiX85S9/2b1QzvxBVcdEqR0QKoqLa0x6WrBgQRg4cGDo2bNnePzxx+s1VpxX9tDBIYfUGcIPQDgOwrXp7ujjIMzIve88E/4kNT5DuDmNGFHjF3Zt43a5j0oIFUVFjTaD9b777gsnnXTSbrWk9zbvvvtu+PWvfx0uu+yycPTRR4euXbuG8847L0ydOjUsWbKk/kG4Kz0a6dnHS5cuDeecc0449NBDwy9/+cvGHcfOs/QtN4RvZeeypq0Q5kHYF8Ib2a+rZembpMbjmHBzKVCmsrZxuxratIH//m84/fTdvp333nuP448/nhdeeIFevXrt9vX2VqtXr64aT547dy6bNm1i0KBBVRW9Pv/5z9ccJ08XN7l782amA4uB/8PO79024JvAIuJGCnOBQeljW9u2Zdh++3HmD3/IVVddtcuFST788EPeeecd3n77bd55552qj696+WVGbNpU7dzcylp3AeOIFdcyBT6GA6cRS6UC9SoCI2n31azcr6ZRYOeaken/LiL+oqxVhw7w2mv1C+FaJgrRrRtXX301Y8aMadUBDHDooYdy0UUXcdFFFwGwcuXKqlCeNGkS27ZtqwrkwYMHc/TRR5NKb7zxaWLAZf6AyjYAuBY4P+f5dhUVPD1gAO3Hjq31vioqKli9enWNkM18vG3bNo488kiOOuoojjzySI4//nhGjhzJF59/njB1Kqla9qTunee5an9mFBfHal2Smpwt4eZSoExlRm3F+Kupq4VSWhprET/zTPw8+5dxukzhu8cfz7Vr1vDQX/9Khw4d6nf/rVAIgRUrVlS1kufOnUuXigpKy8poX1lZdV5t37tDgYfY2RIGqmYff1xUlDdg3377bVatWkX37t058sgjq4Vt5uOuXbvmn8me1eOyA/KWtwzAF4CLgfHAn4CvAaVAz6z7c3a01PRsCTeXjRsb5zobNhQ+VteylfTmAAf96U/8pkMH2v7Hf1Tbd1jVpVIpjjjiCI444gguvfRSQgh8MG4cbaZMgawQbqgtW7cy6fDDuSOEasH6hS98gbPOOoujjjqKww8/nKKiooZfvHv3WAt65kxuCYGbsw49BNwETACeAL4DTCLukPUg6QBOpeKGEQaw1CwM4ebSqVPjXKfADkl1rT3O1hZg69Z4PhjE9ZRKpej63nuwfftuXacoBG4YMoSbfvvbplmXPX48PPssEzZvZkKBU44F/pjvQHFxfL2kZtEm6RtoNXr3pnI3u36377MP73XpQo0RhNLSegdwNZs3x9ctWrRb99WqNFKPxj6ffNJ0hVFOPBEmT4b27Rv2uvbt4+vquSOWpN1nCDexEAIvvPACX581i21bt9Y4voO47VysRug7AAAMkElEQVRF+rEl/VyBi3H244/z2c9+lhtuuIGXX36ZysrKOAZcXn1q0Fbg28Suxv2AE4Bn8l2zvDy+XvXTSD0ajz3/PIcccghnnnkmY8eOZfr06SxatIjNu7KdZCENne7h9BCp2RnCTaSiooIZM2Zw0kkncdVVV/G1b32LdmefHcfcstwCFBPH5h5Kf3xLvgumUrQ75xxKV6xgxowZdOjQgW9/+9v0OeQQtv/+9zV+ge4APgO8CGxMX/PrwIrc64YQN5Rft253v+TWoXfvOHGJ2v+A2pr+HOKSpS3ECVEAFBfzjdtuY8GCBVxzzTV069aNOXPm8J3vfIeuXbvy2c9+lhEjRnDjjTfy6KOP8sYbb7C9IV3g6Z6Ru7dvpx/QARiddXgFcTZ0x6zHTyF2s9szIjUrZ0c3si1btvDAAw8wefJkunXrxrhx4xg+fDht2rSpWl/a4G5jgJISePHFGl2FZWPH0vnnP6fdjoLt5yq9iRNzzss9UFwMN98M3/9+w++rtcmafTwBqk18gp0Tnw4nrhHO9vf087XNPt6+fTvLly9nyZIlLF68mCVLlrBkyRL+8Y9/8LnPfY5evXpx3HHHcdxxx9GrVy8OO+ywmt3aI0fCzJk8HkLeNegrgCOItclrTApJpWDECHjssXr+g0jaHYZwI9mwYQPTpk1j6tSp9OvXjxtuuIEBAwbU/AXZgAlUVUpK4lhdvglUdSx9ylhL7Jp+jfQs2FwWZ6i/dMjtSvdtSKVI7ULIbd68mWXLllUL5sWLF/Pxxx9z7LHHVoVzn0MOYcCFF5LKGvrIXUK1glpCGFyiJDWj1jk7uo5CFg2xevVqpkyZwn/+538yfPhwZs+ezXHHHVf4BZkgrWMHHCC2SoqLCwcw1Gui0HbgQuK60LwBDLUvfVJ16dnHu9KjsTWVYvvVV7NfA19XUlJC37596du3b7Xn169fz9KlS6vCeZ+77qLf1q3Upw5XD2K39OnAz4CumQOpVPz/w54RqeklUy0zIfXY8SaMGBHPq8PSpUvD6NGjQ+fOncN1110XVq1a1bB7qW0HnMy9jBxZ9wbrF15Ya73iCggXQBgCYVttdY0t2N8wu1A7urKkJPzXqaeGnj17huXLlzfNfeX5ecitHf0xhFII2yGsgXAehDP8eZAS0XpawvUsZMHMmbGVU6D1+dJLL3H77bezcOFCvvvd77J8+XIOOOCAht9Pv36xS3LdutjqWLw4tkY7d44lA0ePrl+rvHfveJ08ZQoDcYb0WmAW0K7QNSxT2HAN6NEIqRSp4mJSkyfzjTFjWH/vvfTv359HHnmEU089tXHvqx49Ix2BzMyCA4G7gYOBj2FnC92eEal5JP1XQLPYjR1vQohb/j3xxBPhy1/+cjjqqKPCtGnTwubNmxP+otLWrq3Zqk8/roBwcrrlU+vXWlQUt8NTw6V7NLa2aRO2t2tXveVbXBzKU6mwbuDAGj0azz33XOjWrVv45S9/2bj3U4+WcO5jTXpXpQ9tCUvNruW3hHejkEUYO5an1qzhBzNmUFRUxLhx4zjvvPNo27Zt09zrrsgqU5jdGlsJ3EdcnnJQ1un3EceHq1imcPf068f23/yGL3TpwmvXXcd+f/97VY9Gqlcvpm/ZwoK//Y0Hc2a1n3766cyfP5/hw4ezbNkyJk2a1Dg/V1k9I5na0dlLqPYB/gzsD3wW2ABcQ6xtXbUC2p4Rqfkk/VdAk8uzh2+A8AGEcyGUQDgMwsN5Wgg7IMzv3j3MmTNn1zdcbw4LFza8pZ/d4q9r3Fm1mj9/fujTp0/eY++//37o1KlT+OCDDwoeHzRoUBg2bFj46KOPdv9msnpGbkq3cLMfN0H4NYTD0z/7B0EYBeF/7RmREtGyi3WUlcXdhPKM110FtCeOlz4MjAGW5pzTFvjKRx/x1d69m67EYGPIlCksKWnY6zJLnyxTuFueffZZzjzzzLzHunTpwllnncVDDz1U8Pizzz7LwQcfTP/+/Vm5Mnd1cQNlekZSKSZQM4UnEPc+/juwCfhf4uYNVb0l9oxIzaplh3CBPXw3AY8RqwR1JO79ejbwq3wnZ5Zr7OnGjNkZxHX9wZBK1b72WA1SWwgDXH755dx33301a36ntW/fnvvuu49LL72UU045hQULFuzeDY0fH7uUd4UbOEjNqmWH8Ouv5501/BZxbOxzWc8dT82WMBBnvi5e3CS31+jGjIlVtUaMiAUXcn8RFxfH50eMiOcZwLvt/fff56233uLLX/5ywXMGDhxIRUVFreGaSqW49tpr+fd//3fOPffcgi3nerFnRNprtOyJWQWWa3wCfCrnuU7EJRp57U3LNRpr6ZPqZfbs2Zx66qm0r2XHolQqxeWXX84vfvEL+vfvX+v1zjrrLF544YWqCVs//elPY8nTbPUpNtPYRWEkNY2kB6WbVIFCFq9AKM55bjKEYYUmL7lcQwVcfPHF4e67767zvHXr1oVOnTqF9evX1+u6a9euDf379w8jR44Mn3zySXxyV4rNNFZRGElNomV3R2fteJPtc8SlG3/Leu4vxI3Oa3C5hgoIIfDcc8/VOh6c0bVrV4YOHVrvbubu3bvz/PPP07FjRwYOHMiGiRPj5h8zZ8YhltxhlvLy+NzMmfG8adPi85mekVWr4iYdo0bBsGHxvzffHJ9/7DG7oKWEtOwNHLJ2vMn1DWLd3PuJmxoMBRaQJ4gtZq+MnG7gDSFw3x//yA/efLNePx/z5s3j6quvZvHixfWebR9C4LkRI/jK739PSUP+V3XinbRXaNkhDAV3vFkPXArMBroQ9/P9Zu5r3dZNEAu+TJwYl7tBtT/qtrVtS/t27eKyoPHj46SoAkII9OzZk4fuvJMTly6t3wYi6e0v7968menAYuISo+l5rv8T4laKs4HToOD2l5L2HC0/hJtgD1+1InXVHM+oz+Sm0lL+duml9HjjjTiRK7uHpjg9SyE3zOvYGzjjbeBc4APiut/TMvfkH5HSHq1ljwmDyzW067L3fq7rb9UQ4nljx+4cj8291qBBHL10Ke0rK+s3pptVbGYkMWS7FHj7q4DbiQVoqt3TrFlxprykPVLLD2GwkIUaLl1z/O7Nm+lHrME9Ouvwy8R9eA8AugHnE6tPVQXxokU7T84K81RDwvyKK+p1q79N39/QfAf3lmIzUivVOkIYLGShhpk4EcrL+TTwI+L8gWwbgMuBFcTNMvYDLskcLC+Pr4c6w/wN4raCndOP09LPsXkzPPlk3kmF2T4G/hX4eaET9qZiM1Ir1LKLdeSykIXqI6cbGGARsDrrlCE5L7kaqNoZOLsbOCfMM2O6GZ8GZgA9gErgHuLM/dcBKirqvNUJwCjg8NpO2puKzUitTOsK4Yxu3eD730/6LrSn2oXu2/nkLG9LpeDuu+sM8/3TD4gbLLQFljfgfZ9PX+/e9OfrgK8D49IPIP6RKWmP1DpDWKpNgZrjBU8nLg96IvvJ8nI+ePBB9q+spD67BO9PLKdamb5WRiCuZy+0N/DzwPas808E7iSrpW6xGWmPZghLuQrUHM9nOTHwfg58JedYWLOGttu21es6HxJ393qA2DWdkZlGeAtwc9bzDxHXBE/IuU5b4thyx6qbCHGYRdIeyRCWcnXqVK/TVhInUv2YOC6bq2uXLvDuu/V+232BK4mzrZcB3bOOTaBm4OazIvsT9waW9nitZ3a0VF9ZNcd3ELt+s7uBdwDvAv9EnJB1Zb5rFBdD9+75jtSqEticvn6VtvXp0C5wD+4NLO3RDGEpV1b37S1AMbGs6UPpj28h1hx/h9g67Zj1qBICDB9eZ5jPBl5NP/cRcD2xO/kLmesUF8PZZ1tsRmqhWn7ZSmlXFKg5Xi+ZcpHTplVtIDKB6mO6EMd0jyV2Z68mBvxJwESgd+akzAYiM2a4N7DUAhnCUj6NVXO8McI8U/t50aK47njWrHisPGvFcab29NChsQvaFrC0VzCEpUKya0fXV27J06bYQMRiM1KLYQhLtWmMXZQaI8wltUiGsFSXxugGbswtESW1GIawVF+72w3smK6kHIaw1Nwc05WUZghLkpQQi3VIkpQQQ1iSpIQYwpIkJcQQliQpIYawJEkJMYQlSUqIISxJUkIMYUmSEmIIS5KUEENYkqSEGMKSJCXEEJYkKSGGsCRJCTGEJUlKiCEsSVJCDGFJkhJiCEuSlBBDWJKkhBjCkiQlxBCWJCkhhrAkSQkxhCVJSoghLElSQgxhSZISYghLkpQQQ1iSpIQYwpIkJcQQliQpIYawJEkJMYQlSUqIISxJUkIMYUmSEvL/AVtpEcXpLAXjAAAAAElFTkSuQmCC\n", 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" ] @@ -93,15 +102,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 12, "id": "38a40c08", "metadata": {}, "outputs": [ { "data": { - "image/png": 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mcf36dev+N2zYQGxsLFlZWRQXFxMTEwNAXFwcRqORjIwMcnJyWL16NVqtFoDIyEjatm1LamoqR48eZefOnaxduxZfX19Wr17NoEGDKCgoIDc3F4CUlBR8fHzg+++tl7Tr6hDQHhhcWEiHxYsZO3YsFy9evMdvvXpxcXFMmjQJR0fHB952bfn6+sqIaU2chLMQrdS4ceMICAjAxsYGW1tbNm7cyLJly9Dr9XTr1o0FCxbwySefVNpm//79REVF8dVXX+Hk5MSnn36KwWDAYDBgY2PDiBEjGDBgAPHx8dZtZsyYQc+ePdFqtYSFhXHs2DHAcrk2JyeH1NRU2rRpQ//+/XFycuLatWvEx8fzpz/9CUdHRzp06MDLL7/Mxo0bqz2W3Nxc9Hq9ZYCRe5QJxAF/Bi4OG8YvfvELnn322Xturyo3b97kH//4xx33hhuaXq/HeB/fVYuSlQXvvgvh4TB2rOV/330XKvyB2RjkUSohWikvLy/rz9nZ2ZjNZry9va2feXt7c+nSJev7jIwMwsLCiIuLs559p6ens2nTJrZt22Zdz2w2ExwcbH3fqdPPd3gdHBwoKCgAICIigoyMDCZPnkxubi7h4eH8/ve/Jz09HbPZjKenp3W7srKySvXeztXVlfz8fMvIX/dIC0wABgK4uxMdHY27uztGoxHn+2i3oi+++IL27dtbLsE3ovz8/Ad2TM3WrQFqrH0UKl5x+eILiI5u1AFq5MxZiFaqYs9fd3d3bG1tK83cdPHiRbp06QJAYWEh48ePZ/78+YwePdq6jpeXFxEREeTm5lpfP/30k6XX9F3Y2toSHR3NyZMnOXDgAP/85z9Zv349Xl5e2NnZkZ2dbW0zLy+PEydO3FF3OT8/P86ePWsZktPe/p6+Dz8svbjRaqFv33qZXjIuLo5p06Y1+tSVp06dwt/fv1FraFQffghBQfDll5ZQvv1WSGGh5bMvv7Ss9+GHDV6ihLMQgjZt2hAWFma9B52ens6KFSsIDw8HYObMmfTq1YuFCxdW2i48PJxt27aRkJBAaWkpJpOJPXv2kJmZedd9JiYmkpKSQmlpKU5OTtja2mJjY4OnpychISEsWLCAvLw8ysrKOHfuHElJSYCl81VmZibFxcXWtgwGg2X5XS4XFwHlv4aLb/1cPnbYDGALcKy0FPPUqbzzzjsEBgZazzCDgoJ46623qm3bZDJRVFRk2U9REabbfuFnZmaSmJjI9OnT79i2W7durKumM5tSCpPJZD3eivsBKCkpwWQyUVpaav1vUFJSUuP3kJSUZP0jq1U9Aw+kLVmCZu5cdDdvsuZuA2RWHKCmoQNaCSFavKFDh6qPPvrI+n769Olq0aJFlda5ceOGmjp1qnJ3d1ddu3ZVv/vd71RpaalSSilAabVa5ejoaH3t3btXKaXUoUOH1BNPPKFcXV2Vu7u7MhgMKj09vcr9xsbGqoCAAKWUUhs2bFA9e/ZUDg4OqkOHDmrevHnKbDYrpZTKzc1Vs2fPVl26dFFOTk7q4YcfVp9//rlSSqmioiJlMBiUq6urcnNzs7Y9YMAAdejQIaUmTFAXLJmrzJZfr9aX963PK74uVFi+ClRne3vl4uKinnzySXXx4kVr+927d1c7d+6s9ju+vd3bf70uXbpUBQYG3rFdUVGR0ul06tSpU1W2e+HChTva9fb2ti6Pjo6+Y3l0dHSlNir+dygsLFRdunRRV69eVUopNXPmTDV//vxqj6s5qfjvq6L+/furgwcPKnX4sLpgb3/Hv40iUJMq/PtIvO3fzW5QQTY2ysnRsdJ3XxuXL19WY8eOVZ6ennf8m6iJhLMQokVISEhQ48aNU+rwYZVmb6/sQDmDWnPbL9oaXw4OSiUn39F2RkaGGjRoUL3UvW/fPjV58uR6afvs2bPK2dlZabVaFRsbq5RSauXKleq1116zrjN8+PBKf0DdrqSkpF5qqw9VhfPhw4fVL3/5S8ubav5wKwL1v6D2gepURTh/C2o9qL888kidw/nq1avqgw8+UAcOHJBwFkK0cqtWWYK2rsG8alVjV96ggoODlY2NjbKzs1OOjo7qzJkzavr06Wr27Nlq9OjRysHBQX3zzTcqNzdXRUREKHd3d/XQQw+pd955x3pVxc/Pr9IVFUAlJiYqpZQ6ePCgGjRokHJ2dlZ+fn7Wz5WynM1HRUWpwYMHK51Op0aMGKGuX7+ulLKc3U+dOlW1b99eOTs7qwEDBljP9HNzc9XMmTNVp06dVOfOndWiRYtUSUmJOnnypLKzs1M2NjbK0dFROTs7K6WU+t3vfqdmzZql1LVrStnbV3tVpfzVpYpwLn99Y2urvL287um7NpvNEs5CCGENaI2m5lDWaFplMJer6paHk5OT2r9/vyotLVWFhYUqIiJCPfXUUyovL09duHBB/epXv1Jr1669o62//OUvysfHRxmNRpWZmanat2+vtm/frkpLS9XOnTtV+/btVVZWlnW/3bt3V2fOnFE3b95UQ4cOVa+//rpSSqnVq1erJ598Uv3000+qpKREHTlyRBmNRqWUUuPHj1fPP/+8KigoUNeuXVMDBw5Uq1evVkpVfeYcGhqq3n33XaX++Mf7D+d27ZS3q+s9fc91DWfpECaEaJnmzIGkJJgwwdKD+9YAJ+VK27WzfD5hgmU9mY3KqkU+A38fA9RYFRdbXg1AnnMWQrRcAwbA5s2WASXWrYOUFPjxR46lp3PF3Z3Rf/sbeHg0dpVNTot8Bv5BDbpya0jb+ibhLIRo+Tw84LXXrG+zd+3i92+9xWgJ5ipV9wx87969gbo9A//RRx/Vef/lz8BHR0eTlpaGwWDAx8cHg8FgfQa+bds746uq58f79u3L4cOHOXn5Mr3rXEkVbBrmgrNc1hZCtDqDBg3i6NGjFBYWNnYpTV5zfAbeaDSyY8cOXnrpJVavXs2XX37JKVtbStq1q3afNT0DX3brvbldO5StbaXnzqFuz8DXloSzEKLVcXR0pG/fvnz77beNXUqz8N577+Ho6Ej37t0JDAxkypQp1ikqN27cyJYtWyrNWrZv3z68vLzYunUrS5cuxcPDAy8vL5YvX26d6awmV69eJTQ0FCcnJ3x9fRk6dCgREREArF+/nuLiYnr37o2rqyuhoaFcuXKF9PR0/vOf/3Dz5k1cXFx46qmn6Nq1K19//TUPP/wwXaOjaVvDWa8PliFcL2GZnUwLlI+Xt/fWe0NxMRdzc9FqtZWmE83IyCAgIKDatrVaLTqd7q7HXZFGqbsNkSKEEC3P66+/joODA9HR0Y1dirgHZrOZAwcOsH37drZv305WVhajR49mzJgxhISE4Orqal13586drFq1ii9tbEjfsgUfwB5YDjxX2x1qNJbOg7fN2Z2ZmUlYWBgHDhx4QEd2a3cSzkKI1mj79u2sWLGC//u//2vsUkQtXbt2jR07dhAfH88333xDjx49GDNmDAaDgQEDBtCmTVUzdVeQnGwZK/vmzbrv3MHB0qt/wIB7qr2uJJyFEK1Sbm4uXl5e5OTk0K6Ge5ECy7SK69ZZHkcyGi2zf/n5wYwZ9drbvaysjCNHjhAfH8/27dv5z3/+w4gRIzAYDIwePbpSb+9a+/BDy1jZdQloBweIiWnQx+0knIUQrVa/fv344IMPGDRoUGOX0jTVNK2iVmsZmuMBT6uYm5vLzp072b59O19//TXu7u4YDAbGjBlDQEAAtra297+T8oAuLLQcQ3U0GstxNnAwg4SzEKIVmz9/Pp06darVFJetTgMFmFKKEydOsH37duLj4zl69ChDhgxhzJgxjB49ml/84hf3cRA1OHLE8odHfLzlGCr23C//w8NgsPzh0UCXsiuScBZCtFpffPEFa9eurTRqlaDeL/3+9NNP7N69m/j4eOLj47GxsbHeOw4ODkZ722hu9eq2AWpwdYW+fS3Tjzbmc/D3NEioEEK0AFlZWcrZ2fmuMy+dPn1a+fv7K51Op/785z83UHUN6+uvv7bO6lU+raIjqL88gFm9lFIqNTVVrVy5Uo0cOVLpdDoVFBSkli9frk6ePKnKysoa+Ghr55tvvlGOjo5Ko9Gob775Riml1CuvvKJWNcA47BLOQohWrXfv3urIkSM1rtOq5jyuYVrFu855DMqpbVvl7e2tioqK1K5du9TLL7+sfHx8VMeOHdWMGTPUpk2bVG5ubqV93z7n8YULFyotf+2111TXrl2VXq9XDz30kPr9739f6+NNSUlRISEhys3NrcaJJ86ePavs7OzU1KlT71jm7e1tDefLly+rrl27qqKiolrXcC9kEBIhRKv2xBNPsHfv3hrXSU9Pp0+fPtUuLy0tfdBlNajk5GSMRiOPd+/+c+evKgQCnwJV9ZF2BGYCfygrIzsriw4dOrBo0SJcXFz47LPPuHz5Mn/9618JDQ3F2dm50rY2NjaMGjWKzbc9Q1xu1qxZnD59mry8PA4cOMBnn33GF198Uatjs7W1JSwsjI8//rjG9V588UUG1qJTm6enJ7169eKrr76q1f7vlYSzEKJVu1s4Dxs2jMTERF566SV0Oh1nz54lMjKSOXPmYDAYcHR0JDExEaPRyLRp0/Dw8MDb25slS5ZYR8Py9/evNIKWRqNhz549ABw6dIjBgwfj4uKCv7+/9XOwDAu5ePFiAgIC0Ov1hISEkJ2dDViGhAwPD8fNzQ0XFxcGDhzItWvXADAajcyaNQtPT0+6dOlCVFQUpaWlnDp1itmzZ3Pw4EF0Oh0uLi4A7Nixg6FDh1ruvVajHTAfS0BX9TTxo0AE4A04aTScPXuWQ4cO8dvf/pb+/ftjU8PoXB07dmTu3LnVhqOPjw+Ojo7W9zY2NqSmplbb3u3bzpo1q8Y/rjZu3IiLiwvDhw+vVZtBQUFs3769VuveKwlnIUSr9sQTT7Bv375qh5XcvXs3Q4YM4f3336egoMA669KGDRus400HBgYyb948jEYj58+fJykpifXr1xMbGwvA8ePHKSgooKCggBUrVuDj40O/fv24dOkSY8aMISoqihs3bhATE8OkSZO4fv26df8bNmwgNjaWrKwsiouLiYmJASAuLg6j0UhGRgY5OTmsXr3a2pEqMjKStm3bkpqaytGjR9m5cydr167F19eX1atXM2jQIAoKCsjNzQUgJSUFHx+fBzKtYruyMtppNHTo0OG+2rndH/7wB3Q6HV27duWnn35iypQpD6TdvLw8fvvb37JixYpab+Pr68vx48cfyP6rI+EshGjVunTpgouLCydPnqzTdi1yzuMmPK3iG2+8QX5+Pt999x0RERF3XBq/V4sXL2bWrFl07dq11tvo9XrrHzb1RcJZCNHq1ea+8+0e5JzHLi4u1tf+/fu5cuWKdbua5jweOXIkkydPpnPnzixcuBCz2VxpzuPyNl944QWysrKqPRbrnMcPKPDqa1pFjUbDI488glarfSBjoh87doxdu3bx8ssv12m7/Px86y2B+iLzOQshWr0nnniCr7/+mrlz59Z6m5Yy57HZbMbFxYW//e1vOP34I9PqXMlt2rWzvOpRSUkJ586du+929uzZQ1paGg899BAABQUFlJaWcvLkSb777rtqtzt16hT+/v73vf+ayJmzEKLVGzp0KElJSah7HJOpOc157O7uzvnz51m2bBmjR4/Gzc2NvXv3cu7cObq//Tb2dnbV7rNWcx4rhXJ0vK85j4uKijDduvddVlbGX/7yF3788UeUUhw+fJgPPvigUuetbt26sa6azmxKqUq1VNzP888/z7lz5zh27BjHjh1j9uzZjBkzhoSEhGrrBEhKSqr0R1Z9kHAWQrR63bp1s3aguldNec7jJ598ktjYWMaPH8/UqVPJz8/nd7/7Hf/617+4cOECp0+f5pe//CVOv/wlGoOh2n3Was5js5mLmZn3Nedxr169Ko0StmXLFnr06IFeryc8PJx58+Yxb948AIqLi8nJyeHxxx+vst309HS0Wq21t7ZWq7V0fsNym6BTp07Wl06nw97eHo8aRga7cuUKJ0+eZPz48dWu80DU61PUQgjRTEyZMkWtXbu2scu4b2VlZerMmTNq9erVKiwsTHl4eKgePXqo5557Tm3YsEFduXKlyu0SEhKsI4Sl2dsrO1DOoNY8gBHCMjIy1KBKTQ0+AAAgAElEQVRBg+rlePft26cmT55cL23v2rVLOTs7K3t7e7V7926llGWEsA8++KBe9leRjK0thBDAmjVr+Ne//kVcXFxjl1Jn6enp7N69m8TERHbv3o1Go2HYsGEMGzaM4OBg6z3VWmsm0yq2ZBLOQggBnD59mlGjRpGWltbYpdzVlStXSExMtIZxQUEBwcHB1jD+5S9/eUfHrzprBtMqtmQSzkIIgaXjUMeOHUlOTq70SFRTkJOTw549e6xnx1evXmXo0KHWs+PevXvffxhXpYlPq9iSSTgLIcQtoaGhjB8/3trLurHk5eWxd+9edu/eze7du7lw4QIBAQHWMPb396dNm6oG0awnTXVaxRZMwlkIIW5Zu3Qpzl9+ydM9e1pGy3J2Bj8/mDGjXkPo5s2b/Otf/7KG8cmTJ3nsscesl6oHDBiAra1tve1fND0SzkIIkZwMy5ZRtn07RWYz2oq/Fssv344ebbl8W4uZi+6mqKiIb7/91hrG3333HY888og1jB9//HHs7e3vez+i+ZJwFkK0bg3Q8amkpIQjR45YO3AdOnQIX19faweugIAA6zO+QoAMQiKEqODMmTM8/PDD6PV6Vq5c2djl1IuEhATrABJpS5agmTsX3c2brLnbeYpSlkeLXn3VEug1KCsr4+jRo/zP//wPTz75JG5ubtbxrefNm0dGRgaHDx/mD3/4AyNHjmz0YN61axc6nQ4bGxt27doFwIIFC/jwLscp6lG9P0kthGg2Zs6cqebPn9/YZTwQsbGxKiAg4I7P+/fvrw4ePKjU4cPqgr29ApS5wkAaRaAmgfK2jEypEqsYbOPf9vZqyCOPKEdHR9WhQwf1v//7v+rEiRPqvffeUxMnTlTt27dXPj4+as6cOWrTpk0qKytLKaXU5cuX1dixY5Wnp6cC1IULFyrV9re//U0NGjRIabVaNXTo0Dodb0pKigoJCVFubm6qql/tQ4cOVXZ2dsrR0VE5Ojqqnj173rGOt7e3+uabb6y1du3aVRUVFdWpDvFgyJmzEMIqPT29xknpS0tLG7CaBy85ORmj0WgZ6nHZsmrnLg4EPgU6VbEsGxhlMjG9pIR3332XIUOGsGTJEsaMGcPRo0eZOHEiKSkpnD59mlWrVhEaGmodDtLGxoZRo0axefPmKvfbvn175s+fzxtvvFHnY7O1tSUsLIyPP/642nXK56QuKCjgzJkzNbbn6elJr169+Oqrr+pci7h/Es5CCACGDRtGYmIiL730EjqdjrNnzxIZGcmcOXMwGAw4OjqSmJiI0Whk2rRpeHh44O3tzZIlS6xjQfv7+1caP1qj0bBnzx4ADh06xODBg3FxccHf39/6OVgmRVi8eDEBAQHo9XpCQkLIzs4GLBMVhIeH4+bmhouLCwMHDuTatWsAGI1GZs2ahaenJ126dCEqKorS0lJOnTrF7NmzOXjwIDqdzjq9344dOxg6dChkZcGOHVV+D+2A+VgCuqqHlVZgGVd6akoKKbt3YzAYSE5O5sKFC3z88cdMnTqVzp07V9l2x44dmTt3LgOr6VT261//mrCwsGq3r4mPjw+zZs2q8Y+rugoKCmL79u0PrD1RexLOQggAdu/ezZAhQ6xnV+VzDm/YsME621JgYCDz5s3DaDRy/vx5kpKSWL9+PbGxsQAcP37cema2YsUKfHx86NevH5cuXWLMmDFERUVx48YNYmJimDRpEtevX7fuf8OGDcTGxpKVlUVxcTExMTEAxMXFYTQaycjIICcnh9WrV1snRYiMjLROWHH06FF27tzJ2rVr8fX1ZfXq1QwaNIiCggJyc3MBSElJsUx6UM0MRrVxCGgPDLOxYfPXX7Nly5aGfeb4Prz55pu4u7sTEBBQ6Y+j6vj6+nL8+PH6L0zcQcJZCFGjcePGERAQgI2NDba2tmzcuJFly5ah1+vp1q0bCxYs4JNPPqm0zf79+4mKiuKrr77CycmJTz/9FIPBgMFgwMbGhhEjRjBgwADi4+Ot28yYMYOePXui1WoJCwvj2LFjgOVybU5ODqmpqbRp04b+/fvj5OTEtWvXiI+P509/+hOOjo506NCBl19+mY0bN1Z7LLm5uej1evj++2ovad9NJhAH/LmsjIvjxvGLX/yCZ5999p7aakh//OMfOX/+PJcuXeL5559n7Nixd50TWa/XW/+wEQ1LwlkIUSMvLy/rz9nZ2ZjN5krDW3p7e3Pp0iXr+4yMDMLCwoiLi7Oefaenp7Np0yZcXFysr/3793PlyhXrdp06/XyH18HBgYKCAgAiIiIYOXIkkydPpnPnzixcuBCz2Ux6ejpmsxlPT09rm+U9oqvj6upKfn6+ZYCRe6QFJgADAfu8PKKjozlw4ADG+2izITz22GPo9Xrs7OyYPn06AQEBlf44qkp+fr71loBoWG0buwAhRNNWccxmd3d3bG1tSU9Pp3fv3gBcvHiRLl26AFBYWMj48eOZP39+pcnovby8iIiI4KOPPqrz/m1tbYmOjiY6Opq0tDQMBgM+Pj4YDAbs7OzIzs6mbds7f5VVNda0n58fZ8+etYz8dY/8AGvLrq71M6Z1A9BoNKi7PD526tQp/P39G6giUZGcOQshaq1NmzaEhYVZ70Gnp6ezYsUK61jUM2fOpFevXixcuLDSduHh4Wzbto2EhARKS0sxmUzs2bOHzMzMu+4zMTGRlJQUSktLcXJywtbWFhsbGzw9PQkJCWHBggXk5eVRVlbGuXPnSEpKAiydrzIzMykuLra2ZTAYLMv9/KCGEbiKgPKL3sW3fi6PsRnAFuCYnR3m3r155513CAwMxPlW4AcFBfHWW29V27bJZKKoqMiyn6IiTBUur5d/NyUlJZSVlWEymTCbzdbl3bp1Y10198uVUphMJuvxVtxPbm4uCQkJ1rY/++wz9u7dy6hRo6qtEyApKanSH1mi4Ug4CyHq5L333sPR0ZHu3bsTGBjIlClTmDlzJgAbN25ky5YtlXps79u3Dy8vL7Zu3crSpUvx8PDAy8uL5cuXW3t51+Tq1auEhobi5OSEr68vQ4cOJSIiAoD169dTXFxM7969cXV1JTQ01HqpfNiwYfTp04dOnTrh7u4OQL9+/XB2dubbvn1r3KcPlsvXl7D0zNYC6beWDQOWAmOKiujwhz+QmprKhg0brNtmZGQQEBBQbdtardY66EivXr2sndsAPvnkE7RaLXPmzGHfvn1otVqee+45AIqLi8nJybE8BlaF9PR0tFqttbe2Vqu1dH4DzGYzUVFReHh44O7uznvvvceXX35pve1QlStXrnDy5EnrgC2iYcnwnUKIVmXnzp2sWrWKL21sSNuyhV6APbAceK62jWg0MGEC3Pa8cmZmJmFhYRw4cODBFo2lk90HH3zA559//sDb/r//+z8mTZpEUVER8fHxBAcHs2DBAnr06MHcuXMf+P7E3Uk4CyFapdJDhygJDMTuXgZWcXCApCSZw1jUG7msLYRodUpLS5mxahWrevRAOTjUbWMHB8vkFxLMoh5JOAshWpXS0lKmT5/O5cuXeeHoUTQxMZbAvVuva43m52Cu46xUQtSVXNYWQrQaJSUlTJ8+naysLLZu3YpD+VnzkSOWsbbj4y0hXFj480bl8zkbDJb5nOWMWTQACWchRKtQUlLCtGnTuH79Ol999VWlXtJW169bhvZMSYEffwRXV+jbFyIj4dbkFUI0BAlnIUSLV1JSQkREBDk5OWzdurXqYBaiCZF7zkKIFq08mG/cuCHBLJoNGb5TCNFilZSUEB4eTm5uLlu3bsW+hlHBhGhKJJyFEC1SSUkJU6dOJS8vjy+//FKCWTQrcllbCNHimM1mpkyZQn5+Plu2bJFgFs2OnDkLIVoUs9nMs88+S2FhIV988YUEs2iWJJyFEC3G7cFsZ2fX2CUJcU8knIUQLYLZbGby5MkUFRVJMItmT+45CyGaveLiYp555hnMZjObN2+WYBbNnpw5CyGatfJgLi0tZdOmTRLMokWQcBZCNFvFxcWEhYWhlOIf//gH7dq1a+yShHgg5LK2EKJZKg9mgE2bNkkwixZFwlkI0ewUFRURGhqKRqPh73//uwSzaHEknIUQzUp5MLdt25a//e1vEsyiRZJwFkI0G0VFRUyaNIl27dpJMIsWTcJZCNEslAezvb09GzduxNbWtrFLEqLeSDgLIZo8k8nExIkT0Wq1fP755xLMosWTcBZCNGnlwezo6MiGDRskmEWrIOEshGiyTCYTEyZMQKfT8dlnn0kwi1ZDwlkI0SSZTCbGjx+Pk5OTnDGLVkfCWQjR5BQWFjJu3DhcXV357LPPaNtWBjMUrYuEsxCiSSkPZjc3Nz755BMJZtEqSTgLIZqM8mD28PBg/fr1Esyi1ZJwFkI0CTdv3uSpp57Cw8ODuLg4CWbRqkk4CyEaXXkwd+zYUc6YhUDCWQjRyG7evMnYsWPx9PQkLi6ONm3aNHZJQjQ6CWchRKP56aefePLJJ+nSpQvr1q2TYBbiFglnIUSjKA/mhx56iNjYWAlmISqQcBZCNLjyYO7WrRsff/yxBLMQt5FeF0KIBycrC9atg++/B6MRnJ3Bzw9mzAAPD8ASzGPGjKF79+589NFHEsxCVEGjlFKNXYQQoplLToZly2DHDst7k+nnZVotKAWjR3Pzv/+b0b/9LT169GDt2rXY2MjFOyGqIuEshLg/H34Ir74KhYWWEK6G0mgo0mj4+2OPEb5/vwSzEDWQ/3cI0UScOXOGhx9+GL1ez8qVKxu7nNopD+abN2sMZgCNUiSVlfHF4cPY/OUvpKWlodFo0Ol0rFmzpoEKrl5kZCRarZauXbsCUFRURK9evbh+/XojVyZaIwlnIZqId999l+DgYPLz8/nNb37T2OXcXXLyz8F8m3VAYBWbLALeKC21bPf99wDk5uby/PPPA1BcXExoaCjdunVDo9GwZ8+eStsnJiYSHByMs7Mz3bp1q1O5iYmJ9O3bFxcXF9zc3JgwYQKXLl36ueZ169hRflkesLOzY+bMmfzhD3+o036EeBAknIVoItLT0+nTp0+1y0tLSxuwmlpYtsxyKbuWkgEj8DhYtlu1qsr1AgMD+fTTT+nUqdMdyxwdHZk5cybLly+vc7m9e/cmISGB3NxcLl++zK9+9SvmzJlT4zZTpkwhLi6OoqKiOu9PiPsh4SxEEzBs2DASExN56aWX0Ol0nD17lsjISObMmYPBYMDR0ZHExESMRiPTpk3Dw8MDb29vlixZQllZGQD+/v7odDrrq+KZ56FDhxg8eDAuLi74+/tXOiMNCgpi8eLFBAQEoNfrCQkJITs7G7DMqRweHo6bmxsuLi4MHDiQa9euQVYWxvh4ZimFJ9AFiAJKgVPAbOAgoANcbu1nBzC0fKdKQWLiHd9Du3btmD9/PoGBgVX24n700UeJiIige/fudf6OO3bsSOfOna3v27RpQ2pqao3bdO3aFVdXVw4dOlTn/QlxPySchWgCdu/ezZAhQ3j//fcpKCigZ8+eAGzYsIFFixaRn59PYGAg8+bNw2g0cv78eZKSkli/fj2xsbEAHD9+nIKCAgoKClixYgU+Pj7069ePS5cuMWbMGKKiorhx4wYxMTFMmjSp0r3UDRs2EBsbS1ZWFsXFxcTExAAQFxeH0WgkIyODnJwcVq9ejVarhXXriDSbaQukAkeBncBawBdYDQwCCoDcW/tIAXwqHrRGU2/fZ3UuXryIi4sLWq2WmJgYFi5ceNdtfH19OX78eANUJ8TPJJyFaMLGjRtHQEAANjY22NrasnHjRpYtW4Zer6dbt24sWLCATz75pNI2+/fvJyoqiq+++gonJyc+/fRTDAYDBoMBGxsbRowYwYABA4iPj7duM2PGDHr27IlWqyUsLIxjx44BYGtrS05ODqmpqbRp04b+/fvj5OTEtW+/Jb6sjD8BjkAH4GVgYw3HkgvoK37QCJeKH3roIXJzc8nOzmbJkiX06tXrrtvo9Xpyc3Pvup4QD5KEsxBNmJeXl/Xn7OxszGYz3t7e1s+8vb0rdWrKyMggLCyMuLg469l3eno6mzZtwsXFxfrav38/V65csW5X8f6ug4MDBQUFAERERDBy5EgmT55M586dWbhwIWazmfRr1zADnlguW7sALwBZNRyLK5B/71/FA9W+fXumT5/OuHHjKCkpqXHd/Px8XFxcalxHiAdNwlmIJkxT4dKvu7s7tra2pKenWz+7ePEiXbp0AaCwsJDx48czf/58Ro8ebV3Hy8uLiIgIcnNzra+ffvqJN9544677t7W1JTo6mpMnT3LgwAH++c9/sn79erw6dsQOyMZyRpwL5AEnyuuuoi0/4Gwdj78+lZSUkJWVRV5eXo3rnTp1Cn9//waqSggLCWchmok2bdoQFhZmvQednp7OihUrCA8PB2DmzJn06tXrjvuo4eHhbNu2jYSEBEpLSzGZTOzZs4fMzMy77jMxMZGUlBRKS0txcnLC1tYWGxsbPB97jBAbGxZgCeUy4ByQdGu7jkAmUFyhLUOF5QDY2VW5z6KiIky3RhgrLi7GZDJRPlZSWVkZJpMJs9mMUgqTyURx8c97CQoK4q233qqy3S+++IIzZ85QVlbG9evXeeWVV3jkkUdo3759tcd/6dIlbty4weOPP17tOkLUBwlnIZqR9957D0dHR7p3705gYCBTpkxh5syZAGzcuJEtW7ZU6rG9b98+vLy82Lp1K0uXLsXDwwMvLy+WL19u7eVdk6tXrxIaGoqTkxO+vr4MHTqUiIgIiIxkva0txUBvLJesQ4HyC+XDgD5AJ8D91mf9AGfg2/LGqxm0xMfHB61Wy6VLlxg5ciRardZ6tWDv3r1otVoMBgMXL15Eq9USEhJi3TYjI4OAgIAq27106RKjRo1Cr9fTt29fbGxs2LJlS43Hv2HDBqZPn45dNX9ICFFfZPhOIcS9mTgR9eWXaOrwK2QnsAr4UqMhfeRIfBITsbe3Z/ny5Tz33HP3VU5mZiZhYWEcOHDgnrafNWsWmzZtokOHDqSmplJUVIS/vz979+6lQ4cO91WbEHUl4SyEuCfGXbtoFxKC9l5+hTg4QFISDBjw4AsTogWQy9pCiDrLyckh6LXXiB8+HOXgULeNHRwgJkaCWYgaSDgLIeokOzub4cOHExISwsSdO9HExFgC926Dimg0PwfzXYbNFKK1k8vaQohaKw9mg8HA0qVLf37U68gRy1jb8fGWEK445nb5fM4GA7z5ppwxC1ELEs5CiFq5fv06w4cPZ+zYsSxZsqTSM9gVVoJ16yAlBX78EVxdoW9fiIwED4+GLlmIZkvCWQhxV1lZWQwfPpzx48fz9ttvVx3MQogHRu45CyFqlJWVxbBhw5gwYYIEsxANRMJZCFGta9euERwcTGhoqASzEA1IwlkIUaWrV68SHBxMWFhYtUNiCiHqh4SzEOIOV65cITg4mGeffZbo6OjGLkeIVkfCWQhRyeXLlwkODiY8PJzFixc3djlCtEptG7sAIUTTUR7MkZGRvPnmm41djhCtlpw5CyEAy6xNQUFBzJgxQ4JZiEYm4SyEIDMzk6CgIP7f//t/vPHGG41djhCtnoSzEK1cRkYGQUFBvPDCCyxcuLCxyxFCIOEsRKt28eJFgoKCmDt3Lq+++mpjlyOEuEXCWYhWKj09naCgIObNm8crr7zS2OUIISqQcBaiFUpLSyM4OJj//u//Zv78+Y1djhDiNvIolRCtTHkwv/LKK8ybN6+xyxFCVEHCuaKsLMt0d99/D0YjODuDnx/MmCHT3YkW4cKFCwQHB/Paa6/x4osvNnY5QohqyJSRAMnJlonid+ywvDeZfl5WPlH86NGWieIHDmycGoW4T+fPnyc4OJjXX3+duXPnNnY5QogaSDh/+CG8+ioUFlpCuDoajSWoY2JgzpyGq0+IB+DcuXMMGzaMN998k9mzZzd2OUKIu2jdHcLKg/nmzZqDGSzLb960rP/hhwAkJCQwfvx4wHIfT6PRoNPpWLNmTX1Xzscff4xOp0Oj0ZCamgrApEmT2FF+9i/ELampqQQHB7No0SIJZiGaC9VaHT6slIODUpbYrfEVCyqg4mcODkolJ6v+/furgwcPKqWUunDhggKU2WyutJtdu3YpHx8fpdVqVVBQkEpLS6t1ic8995zq2bOn0mg0KjY2tsp1APWf//xHKaXUt99+q/r163dv34dokc6ePau8vLzUmjVrGrsUIUQdtN4z52XLLJey70VhIcmvvYbRaOTxxx+vdrXs7GwmTpzIO++8w40bNxgwYADPPPNMrXfj7+/PqlWr6NevX63Wf/TRR8nLy+PIkSO13odouc6ePcuwYcOIjo7mueeea+xyhBB10CzD+dChQwwePBgXFxf8/f3Zs2ePdVlQUBCLFy8mICAAvV5PSEgI2dnZAJhMJsLDw3Fr3x6XLVsYqBTXbm1nBGYBnkAXIAooBU4Bs4GDgA5wAVCKHfv3M/Sxx2qs84svvqBPnz48/fTT2Nvb89Zbb3H8+HFOnz5dq+N88cUXGT58OPb29rX9aggKCmL79u21Xl+0TGfOnGHYsGH87ne/Y9asWY1djhCijpplOI8ZM4aoqChu3LhBTEwMkyZN4vr169blGzZsIDY2lqysLIqLi4mJiQEgLi4Oo9FIxiuvkGNnx2pAe2ubSCzPlaUCR4GdwFrAF1gNDAIKgNxb66eUleHz44811nnixAn8/f2t7x0dHenRowcnTpy436+gWr6+vhw/frze2hdN3+nTpxk+fDhLlixh5syZjV2OEOIeNMtwNhgMGAwGbGxsGDFiBAMGDCA+Pt66fMaMGfTs2ROtVktYWBjHjh0DwNbWlpycHFIPHqRNURH9ASfgGhAP/AlwBDoALwMba6ght6wMfU5OjXUWFBTg7Oxc6TNnZ2fy8/PrfMy1pdfryc3NvfuKokU6deoUw4cPZ+nSpURGRjZ2OUKIe9QsByHZtGkT27Zts743m80EBwdb33fq1Mn6s4ODAwUFBQBERESQkZHB5JgYcoFw4PdAOmDGckm7XBngVUMNrkB+Xl6Ndep0OvJuWycvLw+9Xl/jdvcjPz8fFxeXemtfNF0nT55kxIgR/PGPfyQ8PLyxyxFC3IdmGc4RERF89NFHdd7O1taW6Ohoov/zH9I++wwD4AMYADsgm6q/EE0Vn/kBx/LyKC4upl27dlXur0+fPsTFxVnf//TTT5w7d44+ffrUufbaOnXqVKVL6aJ1OHHiBCNGjGD58uVMnTq1scsRQtynZnlZe9u2bSQkJFBaWorJZGLPnj1kZmbedbvExERSUlIo/a//wsnODlssX4AnEAIsAPKwnDWfA5JubdcRyASKK7QV0qYN31y7hoeHB2PHjrWGsKrwvPSECRP44Ycf2Lx5MyaTibfffhs/Pz969eoFwFtvvUVQUFC19RYXF2MymVBKYTabMZlMlJWV1XiMSUlJjB49+q7fhWg5fvjhB0aMGEFMTIwEsxAtRLMM561bt7J06VI8PDzw8vJi+fLldw0tgKtXrxIaGorT22/jW1TEUCDi1rL1WMK3N5ZL1qHAlVvLhgF9gE6A+63PHrW1xfu//ou///3vTJ06lR9++AGAX/3qV8yePZstW7bQrl07Nm/ezKJFi3B1deXbb79l48af72RnZGQQEBBQbb0hISFotVoOHDjA888/j1arZe/evdWun5ycjE6n49FHH73rdyFahpSUFEaMGMGKFSuYMmVKY5cjhHhQGvtB60YzYYJSGk2tBiG546XRKDVxokpISFDjxo1TSimVlpam7OzslF6vV08//bQKCQlROp1OBQQEqLffflt9++23qqSkpFIJ/v7+Kjs7+57K/+tf/6qcnZ2VnZ2dOnfunFJKqYkTJ6rt27ff3/cimo3jx4+rTp06qY0bNzZ2KUKIB6z1jq2dnAxBQZYhOevKwQGSkmDAgBpXKywsZO/evezcuZOEhASuXLnCr3/9a0aOHElISAhdu3a9t9pFq3f8+HFGjRrFypUrefrppxu7HCHEA9Z6wxkqj61dWw4O9zz5RWZmJt988w0JCQns2rWLjh07MnLkSEaOHMkTTzyBVqu9eyOi1Tt27BijRo3igw8+YNKkSY1djhCiHrTucIZGm5WqtLSUf//739az6mPHjjFo0CBrWPfp0weNpqp+4g+AzFvdbH333XcYDAZWrVrFxIkTG7scIUQ9kXAGOHLEMtZ2fLwlhCuOuV0+n7PBYJnP+S6Xsu+V0WgkMTGRhIQEEhISKCoqIiQkhJEjR/LrX/8ad3f3uzdyNzJvdbP273//G4PBwOrVq5kwYUJjlyOEqEcSzhVdv245o0xJgR9/BFdX6NsXIiMb9IxSKUVqaqr1rDopKYmePXtaz6off/xxbG1t69aozFvdNNXyKsaRI0cYM2YMa9asYdy4cY1XrxCiYTRSR7Qm5fTp08rf31/pdDr15z//ubHLuUNRUZFKTExUb775purXr59ydnZW48aNU6tWrVKpqal3b2DVKvW1nZ0ad6u3+QVQgHIE9ZfqeqQ7OCi1alX9H1w9mz59urK3t1ddunRRSillMpmUj4+PysrKatzCDh+2PDFgb295VfzutVrLZxMmKHX4sDp8+LDq0KGD2rp1a+PWLIRoMBLOSqmZM2eq+fPnN3YZtXbt2jX16aefqmnTpqlOnTqpHj16qLlz56qtW7eqDz/8UAUEBPy88q15q/uDOnhbOJtvC+S/geoFSgfKF9SWdu2USk6uVU3vvfee6t+/v2rXrp2aPn16nY5nxYoV6he/+IXS6/XK09NTzZ8//455satTVlamlixZory8vJRer1fPPPOMMhqNldZJTEy0hrNSSv3xj39Ur7zySp1qfKBWrbL88XO3R/k0GlVib69e1enUtm3bGq9eIUSDa5aDkDxo6enpNQ6pWVpa2oDV3F2HDh2YOnUqcXFxXL58mc2bN9OtWzdWrlzJ/PnzSUlJYQmOWqcAACAASURBVOnSpfz73/9GLV1K8s2bGIHqZ56GS1jGGl+BZZS05cCU4mKyoqNrVVPnzp2Jioq6p1mQnnrqKb777jvy8vL44YcfOH78OCtXrgQsUx8+/PDD6PV662cVrV+/nk8++YR//etfXL58mcLCQubNm1fj/qZMmUJcXBxFRUV1rvW+VXxC4NbthQRg/K3FaViGi9UBa5SijcnEMrOZJzMyGr7W+/Txxx+j0+nQaDSkpqYCMGnSJHaU93kQQlSvsf86aGzBwcHKxsZG2dnZKUdHR3XmzBk1ffp0NXv2bDV69Gjl4OCgvvnmG5Wbm6siIiKUu7u7euihh9Q777yjSktLlVJK+fn5KUdHR+sLUImJiUoppQ4ePKgGDRqknJ2dlZ+fn/VzpZQaOvT/t3fvcT3f///Hb53Uu3p3IBFSwySH2tCQkByaDA0zI+SwYd/NDnyMsS+bDR8+88VsYj7IsD6fzRiWZU2FD+Z8+GGz8ikVSuiow7t6/v541WtFh3cOecfzerl0yfvwfL2e73fb+/F+PV/P1/PeS8ydO1d4e3sLa2tr0a9fP3Hjxg0hhBC5ubli9OjRon79+sLW1lZ07txZXL9+XQghRHp6upgwYYJo3LixaNKkiZgzZ44oLCwUFy5cEObm5sLY2FiYmZkJE2NjkQviYxATyxyRVXTkfAREw7uO3BxAHKpXT4gaDAHPmTOnxkfOZaWlpYk+ffqIqVOnCiGqH9UYNmyYWLJkiXr7P//5jzA3Nxc5OTnqfXcfOQshRKtWrUR0dPR99/N+bPjf/xXdjY3vOULWa1SjXj3RxtVVWFtbC3d3d7F9+3a991vdqEZkZKRwc3MTGo1G+Pr6ivj4eL22e+PGDeHt7a3+N9q1a1dx8ODBe54HiD///FMIIcRvv/0mOnbsqHffJelp9dQfOe/bt48ePXqwatUqsrOzad26NaBkQs+ZM4esrCx8fHx4++23ycjI4PLly8TExLBp0yY2bNgAKAtCZGdnk52dzbJly3Bzc6Njx44kJyc/ePZ0YiI3b94kJCREvQ46ODgYU1NTYmNjOXXqFHv37mXdunW4u7sTEhJCt27dKCgooHDRIupZWHAOJeCjKp1Rsqt3AkXADpQwEA9jY2XC0iO2detWbGxscHBw4MyZM0yePBmoflRDKKdmyt3Oz8/nzz//rHJ/jyX3evduuGuZ2WOg36hGQQHLmjQhMzOTpUuXMmrUKFJTU/XabVWjGmlpaQwdOpQFCxZw69YtOnfuzKuvvqrXdq2trVm/fj03btzg9u3bfPDBBwwaNIjCwsJK27zwwgtkZmZy/PhxvfYhSU+rOplKVRuGDBmirnttZmZGWFgYp0+fRqvVotVqmT59Ot988w0TJ05U2xw8eJC5c+dy8OBBbGxsWL16tZo9DZTLnh43bhzwV/Y0wIgRI9i5c6e6z5s3bxIbG4uHhwedOnUCICUlhfDwcNLT09FoNFhZWfHee++xdu1ataCpzp7FOC+PdKC6kEoTYCwwCsgD6gHfAVZ5eRz95z8Ju3YNU1NTzMzMMDMzU/99931nzpwhPT2df/3rX1U+7+77vL29uXjxIleuXGHbtm1YWVnh6+vLgQMHOHjwIO+++y4nT55k4cKFaDQaEhISiImJYfLkyaxdu5YjR44QExNDbsllcKUxoZ6enly6dIn8/Hysra3JyckhKioKrVbLuXPn8Pb25sKFC7i4uLBixQo1iMTX15cePXqwb98+zp49S7du3di6dSsODg7k5eUxadIk9uzZQ1FREc8++yy7d++mUaNGZGRk8P777xMeHo6xsTHjx4/n448/5tLhw0w5eRIdypC1KZAO7AF6VfO3SQLsgAEnT0JaGgMHDsTKyoq4uDgcHR2raY16PfTx48fvCYj54YcfaNeunbrK2Pz583FwcOD3339XA1oqY2FhgZub8rWvuLgYExMTbt++za1bt6rsl6+vLz/99BOdH9FliZL0JJDFuRLOzn+lOaelpaHT6XBxcVHvc3FxITk5Wb2dmJjIiBEjCA0NVYttQkLCg2dPjxxJeno6QUFBfPbZZyQkJKDT6XBy+it9uri4uFx/VRkZQEn2dDWvNxKYCUQDHYETwGCU4uFgakrTpk0pLCxEp9NRWFhIbm4umZmZ5e7T6XQkJCSQnZ3Ntm3b1PvKPq7PfTk5OSxfvhxTU1OKi4vJz8+nqKiI5557Dp1OR1FREba2ttjZ2fH999+TkpLC5cuXMTExoUGDBuTm5jJ69GieeeYZHB0dsbCw4OzZs7Ru3ZrY2FhWr17NgQMHSE1Nxd/fn7Fjx3L16lUGDBjA1KlTsbW15cqVK3z11Ve88cYbDBs2jJCQEMaMGcPIkSPZv38/Fy9e5Msvv0Sj0XDlyhV+++037Ozs+Oijj2jQoAHbtm1Dp9Px9ttvY2Fhwf/cucNXpqasLyzkYJn3/RxQXUyJOqpRXMzA9evZ5eaGubk5Hh4e1bSs3vnz58tFjFpZWdGyZUvOnz9fbXEu5eHhwe+//45Op2PSpEnVfmFwd3fn4MGDVT5Hkp52sjhXouzqXA4ODpiZmZGQkEDbtm0BuHLlCk2bNgWUNbQDAwN59913y8U1Ojs7P3j29Lx5xMfHExAQgJubGwEBAZibm5OWloap6b1/vtJ+CyG4VVREA5Ts6UvV7O800BOlEAB4AV1QivaMjh2ZPn26Xv2eO3cuSUlJbHyAofDNmzezdOlSzpw5g6+vL6NGjSI4OJjCwkImTZpEUVERK1asQKfTkZ+fT9u2bdmxYwcuLi4cOHCA2bNnq4WysLCQEydO8PvvvxMXF8f8+fNp2LAhP/30E61btyYgIACdTkfz5s05e/Ys8fHxtG/fnsLCQtzd3cnNzeXy5cs4Ojpy7tw5GjZsyB9//EF8fDxr1qzB0tJS/XJx584djh49ynPPPcebb76JTqfj1q1bfPbZZ7Q1MsK4guHeGo1qFBSQN3s29Sws+O6777Cysrrv97hUdnY2De+6ht/W1pasrOq+zv3l7Nmz5OXlsX37dgoKCqp9vlarJT09vcZ9laSnyVN/zlkfJiYmjBgxQj0HnZCQwLJlywgKCgJgwoQJtGnThpkzZ5ZrFxQU9ODZ00VF2NjYYGZmhrGxMU5OTvTv35/p06eTmZlJcXExcXFxxMTEkJGRwZ9//smZM2do0qQJ/zx2jAITEwL4K5u6Ml7AAZQiDXCq5LZHvXrQoQPR0dFVLidaWFhIXl4eRUVF6mste+7RyMiI6OjoCtuuW7dOPX964cIFFi1aRJ8+fdTHP//8cxYuXIilpSX16tWjVatWNG7cGGdnZ7Uw+vn5YWZmRkhICOPHjycnJwc/Pz/69+9Py5Ytyc7OJiwsjPfffx8/Pz8KCwuJi4tjzpw5zJ8/n08//ZTk5GReeOEFPvnkE1q0aEFwcDDLly9n1apVTJo0CVdXVzZt2sTBgweZNm0aKSkpnDp1Ck9PTyIiItTZ5JcvXyY+Pp7k5GRycnJo0aIFQ8u8nrJqOqpREBBATEwMkyZN4vTp01U31IO1tTWZmZnl7svMzESrre4rQ3kWFha89tprLF68uNpz+VlZWdjZ2dW4r5L0NJHFWU9ffPEFVlZWtGjRAh8fH0aNGqVOsAkLC2P79u1YW1urPwcOHMDZ2fnBs6dtbHB3d6dXr16MGaOkT2/atImCggLatm2Lra0tPXv2ZOrUqTRr1oxjx47RvHlzcnNzWVJcTD0zMzoCtsBvVeyvFzAfJcdaCwwDPgT6GxtDcDCJiYl4e3tX2v7TTz9Fo9GwePFiNm/ejEaj4dNPPwWUIX+tVkuHDh0qbPuf//yHDh06YGVlpZ6jX7hwofr47du3y+Vel/2SUDoZrGHDhgwYMIAJEybQvn37cqMac+fOxdraWh3V2Lp1K507d2bs2LGkp6erPzk5OcyaNauKd0lROqpx4cIFDh06xO7du9m0aRPOzs7qqEbpNksvD0sXgoq+2tR0VMO4fn28vLzo0qULkZGR1fa1Ou3atStXTHNycoiLi6tyEl5VdDodly9frvI5Fy9eLDeULklSBR7rXHGpxrKzs8WuXbvElClTRPPmzUXz5s3F1KlTxa5du0R2dva9DUpyqyNAXSEsHoQ5CFsQa/XIrRZCiIkTJ4qff/75vvr8zTffiFmzZt1X265du4qWLVuqt8eNGyfmzJlT7jmjR48WgYGBIjMzU8THxws3Nzfx9ddfCyGEeOaZZ4Spqam6jdIVwk6ePCkaNWokfv75Z1FYWChyc3NFVFSUSExMFEIol7mVbkMIITZs2KAu7rJv3z5x9uxZUVhYKG7evCk8PDzE+vXrhRBCDB48WEybNk3cunVLxMTEiIkTJ4omTZqIz2xtxU5jY+ECIr/Me3wCxLPVXOYWDaIBiFPm5kIsWSJOnjwp6tevLyIiIoQQyqViVf2vrNPpRG5urpg1a5YICgoSubm56iIvqampwsbGRnz//fciNzdXzJw5U3Tp0kVtO2/ePNGrV68Kt3v48GFx4MABkZ+fL+7cuSMWL14srK2tRXJycrnnUeZSKiGEePbZZ8Vvv/1WaX8lSZIrhNUJf/75p1ixYoXw9/cX1tbWonfv3mLp0qXi/Pnzori4uOrGJSuEVbkSVVVLeOq5QtijcneRrKg437p1S4wePVo4ODiIZs2aiY8//li9Bh0QGo2m3HXo+/fvF0IIceTIEdGzZ09hb28vHBwcREBAgEhISKhwv2WL89atW0Xr1q2FpaWlcHR0FG+//bZaAMPCwkSbNm2EsbGxMDY2Fo0bNxaLFi0Sxdevi3xzcxEAwr6k2Ja+z51LrjOv6jrnL0C0NDIS1lZW4plnnhH/+Mc/1L5t2rRJeHt7V/oezps3T1Cy3dKfefPmqY//8ssvws3NTVhYWIhevXqJ//73v+pjEyZMEB9++GGF242OjhYeHh7C2tpa2Nvbi549e4qYmJh7nle2OB89elQ8//zzlfZVkiSFLM4GKC8vT+zdu1e888474tlnnxWNGzcWEyZMEN9//71IT0+v+QZLl4usaWGuq2trp6QI8fe/CzF6tBAvvaT8/vvfa7SYir5u3bolNm/eLIYPHy5sbGxEz549xbJly0RcXNy9Ty4Zxbj7vdZnVKMQxJGmTdVFasp6kFGN6nh6eoq0tLT7art+/Xpha2srzM3N1fdj6NCh4qeffnqYXZSkJ5JMpTIQV65cYc+ePYSHhxMdHU379u3V86+enp4YGz/g9ICnIZWqliIxk5KS+PHHH9mxYwe//fYbvXv3JjAwkJdeeumemc/39M/XV1m6s4aEpSXLAwNZGhXFV199RWBgYPWNJEmqs2RxLkvP+L6HQafTcejQIcLDwwkPD+fatWu8+OKLDBw4kP79+9OgQYOHuj/AIHKrH5lH+OVDCMHFixfZsWMHO3bsIC4ujoEDBxIYGIi/v3/NLmkqu7a2viwt1f4eOHCA8ePH061bN1auXIm9vb3+25Ekqc6QxRlq7Yjr+vXr/Pzzz/z0009ERkbSsmVL9ejYy8sLExOTB3whejKQ3OqH5gELXkWKi4s5cuSIWpDz8vIIDAwkMDCQHj161DxPu6L+3ucXiZycHGbPns0PP/zAmjVrGDhw4P33RZIkw/QYh9QNQw3i+2p6HrawsFAcPnxYfPTRR6JTp07Czs5OvPLKK2LDhg3i2rVrj/BFPToGl339ECe85eXliQULFggXFxfRqFEj4ebmpk4oCwkJeeCu5uXlCSsrK2FqairmTJggxNChYqeZmRhhYlJxnvPQoVVOyIuKihKurq5i/Pjx9zcXQZIkg/V0F+dqJkr9XGaiTuksWisQa0aNqnSTaWlpYsuWLers4fbt24uZM2eK6OhoUVBQUCsvq1wRKJnZvHPnTjFixIgH3rbBZV9XMsmqup8NILqDyB80SGzdulWMGDFC2NraCmtra/H222+LP//8U/z3v/9VZk6XyZY+fPiw6Nu3rzrDe/jw4eLq1avq48XFxWLmzJmifv36on79+mLmzJn3zKgvN+M8NVW0a9RIbGzaVCR4eAgxZowQS5boPXktMzNTTJkyRTg7O6uXVkmSVPc9vcW5zBFX6Qf13R/glUb5lRxx5efni2HDhgknJycBiHbt2gmtVisGDx4sQkJC1MtyKpKSkiJGjhwpnJychI2NjfD29hZHjhzRu/t/+9vfRLNmzYRWqxXNmzcXn3322T3Pufuyo3bt2okzZ87U7H26S58+fcpdYlRWYWHhA227xlJSlCPM+zhqLv2b54IY1a+fWLdunfj5559Fq1at1M1XVJzDw8PFv//9b5GRkSFycnLE+PHjhb+/v/p4SEiIaN26tUhMTBRJSUnC3d1drF69uly37/67fPrpp+KZZ54R27Ztu++3Yu/evcLZ2Vm88cYbIjMz8763I0mSYXh6i3OZI66KivNREK3K3C5bnIuNjERSly5i3LhxwsbGRjRr1kxYWlqKJUuWiNzcXL12HxcXJz7//HNx9epVUVhYKNasWSMaNGggsrKy9Gr/+++/q4uOJCUlibZt297z4V5REfif//kfPd+ge92dff3aa6893tzrv/9d5Jqbi9Eg6pdcftQZxPWSv1k6iAkgGoNoAmJOySVJF0ouVzIuGQmxtbAQQgjx8ccfi4kTJ6r7rag43+3EiRPC2tpavd2tWzexZs0a9fa6devKLeohxL1/l4MHDwoLCwsRGRlZ8z9KGenp6WLixInC1dVV/Prrrw+0LUmSHq86uXznRx99RPfu3dFqtfTv35+0tDQA8vLyCAoKokGDBtjZ2eHl5UVKSgoAGRkZTJw4EScnJ5o6OTF3506KhOAiMAU4jBLlV7rib1VRfkZC0PDYMbq3bs3x48dJTEzE3t4eLy8vLCws9HoNLVq04P3338fJyQkTExPeeOMNCgoK+OOPP/Rq7+bmVm6WsLGxMbGxsVW2KY3qu193Z1/Xq1fv8eZenz1LaH4+GUAicBMIATQlbYJRkl1iUdYK3wusQ0l4CgG6AdlAeklc4rlz59QIRH3t37+/3FKXd6c8eXp6cv78+Sq34e7uTl5e3gNPCLS1tWXdunV89dVXjB07lrfeektNOZMkqW6pk8W5wg9qIDQ0lIyMDBITE7l58yYhISFoNMpHdXBwMKampsTGxnLq9dfZW1xc8Qd1yT7OAVV9TNczN+d1MzOeffbZh/KaTp8+TUFBAa1atdK7zeLFi7G2tqZZs2bk5OQwatSoKp/v7u5OfHz8PUEHD6I099rY2FjNvV60aBFarRZXV1c197qs0tzrnTt3YmNjw+bNm9VZ68bGxuVyr0uV5l5rNBpGjBihhD5kZGCGUpRjUdKbOgE2QAoQDiwHrABH4D0grKIXcfs2AOnp6TUKfDh79iyffPIJS5cuVe/Lzs7G1tZWvW1ra0t2djaiilnZpft84GvZSwwYMIBz586RlZWFp6cnBw4ceCjblSSp9tTJ4lzhBzVKIMHNmzeJjY3FxMSETp06YWNjQ0pKCuHh4SxfvhwrKyscL1/mPSEq/qAuUW2UX26ucinSQ5CZmcmYMWOYN29euQ/26syaNYusrCxOnjzJmDFjqm1bWgQeZlzfw8y9trOzU38OHjzItWvX1HYV5l7b2jIG8AdGAk1Q0pt0QELJbyeU0RA7YDKQWtGLKLlW2N7eXu+oxNjYWAYMGMCKFSvo0aOHev/dKU+ZmZlYW1tXmehVus9mzZrptW992NvbExoayrJly3j11Vd57733uHMfi59IkvR41MniXOEHNTBmzBj8/f0ZOXIkTZo0YebMmeh0OhISEtDpdDg5OSkf/v/6V+Uf1CX0ifIrPeJ6ELm5uQwaNIiuXbsye/bsGrc3MjLi+eefR6PRMG/evCqfW1oEHmZcX2W516Vqkntd44QoDw/MLCyYB1wADgG7gU2AM2AOpKF80UoHMoHSAWa11xqNco034OHhwaVL1WVEKV8m+vbty0cffaQmhZW6O+XpzJkz1SY8XbhwAXi4xbnUkCFDOHfuHCkpKTz//PMcPnz4oe9DkqSHr04W58roHeX36qsVf1CXoU+UHw+4OlN+fj6BgYE0a9aMNWvWPNC2SvOJq3Lx4kVcXV2xsbF5oH1VptZzr4ODiSoq4hxQhDKcbYbyH7UT0B+YjlKUi4E4/sq1bgQkAQXFxcriK0BASVZyVZKTk/Hz8+Ott95iypQp9zw+duxYli1bRnJyMlevXuXzzz8nuGT7lYmMjMTExIR69epV/XrvU4MGDdi6dSsLFy7k5ZdfZubMmeSVXWhHkiSD80QV56ioKM6dO0dRURE2NjaYmZlhbGyMk5MT/fv3Z/r06WRmZlLcvj1x9erd+0FdZlsB/PVBXqGSI678/Hz1g66goIC8vDz1/OLGjRtxdXWtsLlOp2P48OFoNBpCQ0PvOd8YHx+PkZER8fHx97QtLi5mzZo13L59GyEER48e5csvv6RPnz5Vvj8xMTHljlgfhVrNvXZ05LqnJ8NRCrM7yiS+0mPZTSh/07YoIyHDgdKBcj+gHdC4uBgHd3cAOnbsiK2tLb/9Vnny9bp167h8+TLz588v9zpKTZ48mUGDBtGhQwfat2/PwIEDmTx5cpUvIyws7KGOZlRm2LBhnD17lsuXL9OxY0eOHTv2yPcpSdJ9esyzxe9LTaP8hFAuM5kyZYpo2rSpsNFqxXNGRuLbkktu8qHmUX4WFkKkpgoXFxcB5eP4SiP3PvnkEzGqkgVLoqOj1dWnKooz3L9/v3Bxcalw4ZKioiLh7+8v7O3thZWVlXj22WfFZ599VvViF0KI9u3bi9OnT9//G2+IHnIkZkREhBgyZIgQQoj4+Hhhbm4ubG1txdq1ax+4q3l5ecLW1lZYWlqK+fPnCyGUxWH8/f2Fm5vbA29fX8XFxeLbb78Vjo6O4sMPPxR5eXm1tm9JkvRTJ4vzQ6HHylJVRvkNHVrtLvr16ycuXLhwX91bsGDBfS8ZWVkReOWVV+5rewavjkdiHjp06J5roWvDtWvXxODBg0WHDh3EiRMnan3/kiRV7ukNvniA+D4sLSEmpu4lNz3J6nAk5p49e1i+fDkRERG1vm8hBJs3b2b69Om8+eabfPjhh4/s3LckSfp7eoszPJI0I+kxqmuRmCURpfG7dpEWF0dnP79HFlFaneTkZF5//XWuXbtGaGgoHh4etbp/SZLKe7qLM9TpIy6pEoYeiVlLEaU1JYRgw4YNfPDBB7z77rt88MEHmJqa1tr+JUn6iyzOUPeOuKS6qw58Gbxy5QqTJk3i9u3bhIaG0rZt21rdvyRJT9ilVPetc2fYtg2uXIGPP4YxY+Cll5TfH3+s3L9tmyzMdcgff/zBc889h1arZeXKlY+7O4qyp1Gq+04shPK8GTOUdneJiIggMDAQ+OuyO2tra9auXfvA3WzevDlxcXGcOnWKjh07snTpUk6dOoW3t/cDb1uSJP3II2fpiTRx4kRsbGz4v//7v8fdFcV9TkDcCKwzNubgb7+V+3LYuXNnVq1aRdeuXYmPj+eZZ55Bp9Opw9AFBQWMGjWK48ePk5CQQFRUFL6+vmr79PR03nnnHfaUDK2/+eabzJ8/v9y+58+fz+nTp8nMzCQ3N5d69eoxY8YMBg0adB9vgCRJNSGPnKUnUkJCQqXLZhYVFdVyb1BOm5Q9XVITxcVK+xLHjh0jIyODrl27VtnMx8eHzZs3l1vutlTpWtvx8fEcPXqUb775Rk0PK8va2prIyEhGjx7NyZMnmTVrVvWLw0iS9MBkcZaeOH5+fkRFRfHWW29hbW3NqFGjmDp1KgEBAVhZWREVFUVGRgZjx46lYcOGuLi48Omnn6pFx9PTs9zqX0ZGRkRHRwNw5MgRvL29sbOzw9PTU70flEjOCuNMU1PJCw8nSAgaoIRweKEkZwFkABNRlhxtCsxFWY60XJzpDz9gVxJssmfPHnr1qizQVFGvXj3effddfHx8Koyi3LVrFzNnzsTS0hJXV1cmTpzI+vXrK9yWsbExb731Fnv27OH333+nZ8+e1S4VK0nSg5HFWXriGFzu9MaNhBYVPVjutEZD+ty5wP3lTlek7BktIQT/7//9vyqf7+Pjg5WVFd26daNLly58+eWX8ihakh4RWZylp8JjzZ0+exazwsIHy50uE1Fa09zpirz44ossXryYrKwsYmNjWb9+vV6RklqtlkGDBvGf//yHzZs307dv3wrXf5ck6cHI4iw9FR5r7nRGxsPJnS6JKK1J7nRlVq5ciUaj4dlnn2XIkCG89tprekVWZmVlYWdnh5ubGwcPHuTFF1/Ey8uLtWvXIueWStLDI4uz9FR4rLnTtraYwYPlToMaUapv7nRV6tevz5YtW7h+/Trnz5+nuLiYF154oco2ycnJFBQUqEPqJiYmzJw5k5iYGL7++mv8/f1JTEx8oH5JkqSQxVl66tR67rSHB1FmZg+WO21hoaxyhn6500CVcaZxcXHcvHmToqIi9uzZw9q1a5lbck67MjExMfj5+WFubl7u/rZt23L48GF69epFx44d2bBhQ/VH0ampsGQJBAXBoEHK7yVLlNXdJEmSxVl6OtVq7nRwMNfhwXKn8/JwWLwY0C93GsDNzQ2NRkNycjL+/v5oNBp1tODEiRN06NABrVbL7Nmz2bJlS6WXnpXasmULU6ZMqfAxU1NT5syZw6+//srKlSt56aWXuHr16r1PPHYMhg4FFxeYNw+2bIHdu5Xf8+dD8+bK4zJrWnra1XoOliQ9jfSIKK30x8jonojSR5k7LYQQrVu3FlZWVmL8+PFCCCHOnDkjunbtqlfbgoICMW/ePNGwYUPxzTff/JUzXhrtWd37YGRkUJGekvQ4yBXCJKk2PIURpSdPnmTcuHG0bNmSTd26YfPJJzIBTpL0JIe1Jak2eHkphcbSssKH/wCeA7RAuZXASwtUHSvMoAy/Hz9+nP729pjOmkXEnTsEljwWjtbKMQAAGFhJREFUjzLZzRqodDXw0rXFjx+vhd4+On5+flhYWODj4wNASkoK7u7u5OfnP+aeSYZMFmdJqi1Tp/5VoI3KzcNmCdAbyAKmgfJ4HT1y3Lhxo1qIzM3NeTMjA42REXOAu+e1pwNvlLn9b5Rz8lqUc/A77twpt3RpVYKCgnBycsLGxobWrVuzbt06vfs8f/58zMzMys0zuHz5st7tL1++zEsvvYRWq8XBwaHcZMJ9+/YREhKi3m7UqBG9e/d+KCEl0pNLFmdJqk1TpypD1C+/DBYWSiwkyvXO7UC5bWGhPB4Toxbmx7Ie+MOQmgp79nBcCDKAqlYDTwaCgGUoM9eXAqOA1J9+0msW9+zZs4mPjyczM5OdO3cyd+5cTpw4oXdXX331VXVluOzsbFq0aKFXu4KCAvr164efnx/Xr18nKSlJnflfmdGjR7NmzRq9+yY9fWRxlqTadldEqV+jRkQBbxkbY11UxKWoKIK1Wqb+85+Pbz1wIC8vj6CgIBo0aICdnR1eXl6kpCgrgmdkZDBx4kScnJxo2rQpc+fOpaioiIsXLzJlyhQOHz6MtbU1diULvexBmaFelSSURVgGoAx5D0RZNS1OCNi4sdq3tV27duplXkZGRhgZGdXKGuAbN26kSZMmvP/++1hZWWFhYYGHh0eVbbp06cLly5fLXWsvSWXJ4ixJj0vDhvC3v7Hv+nV69OrFqjVryM7Pp3VJ2tRjXQ8cCA0NJSMjg8TERG7evElISAiakiP94OBgTE1NiY2N5dSpU+zdu5d169bh7u5OSEgI3bp1Izs7m/RhwyAvj3NAdauBd0YZ0t6Jcj34DpQFWjwKCtSlS6vz5ptvYmlpSZs2bXByciIgIEDfvwa7du2ifv36tGvXjtUVZGhX5siRI7i6ujJgwAAcHBzw9fXlXDX9NTU1pVWrVpw5c0bv/UhPF1mcJclAPdb1wAEzMzNu3rxJbGwsJiYmdOrUCRsbG1JSUggPD2f58uVYWVnh6OjIe++9R1jYPSuCQ0YGoJxbrm41cBNgLMpQtnnJ7zUoR8+lS5dW56uvviIrK4sDBw4wdOjQexZMqcyIESO4ePEiN27c4Ouvv+aTTz7h22+/1attUlISYWFhTJs2jatXrzJw4ECGDBlCQUFBle20Wi3p6el67UN6+sjiLEkG6rGuBw6MGTMGf39/Ro4cSZMmTZg5cyY6nY6EhAR0Oh1OTk7qNidPnkxqagUrgpfEXNqjTHarSiTKmuPRKIuyxACTgNOAsLOr7u1SmZiY4OPjQ1JSkt5HwG3btqVJkyaYmJjg7e3NO++8w/fff69XW41Gg4+PDwMGDKBevXrMmDGDmzdvcvHixSrbla5TLkkVkcVZkgzUY10PHOXIed68eVy4cIFDhw6xe/duNm3ahLOzM+bm5qSlpanbzMzM5Pz58/f0Gw8PsLDAA6huNfDTQE+U4W1jlMzrLijnqz/duZPg4GA2b97M9evXq+07QGFh4X2fczYyMtI7yMPDw6P8a9ZDYWEhsbGxeHp63k/3pKeALM6SVAfU+nrgQFRUFOfOnaOoqAgbGxvMzMwwNjbGycmJ/v37M336dDIzMykuLiYuLk5d77tRo0YkJSUpw7rBwQAE8Nd64ZXxAg6gFGlQsq0PAB3NzBgVEYGdnR1jxozB3d2dDh068N577xEeHk52djapqamEhYWRnZ1NUVERERERfPvtt/Tp00fdftlJcnf78ccfuX37NkIIjh49ysqVKxkyZIj6uKurKxsrmZQWFBTEkSNHiIyMpKioiOXLl+Pg4IC7u3ulr/Xo0aO4urqWGwmRpLJkcZakOqJW1wMHrl+/zvDhw7GxscHd3Z1evXoxZoyyIvimTZsoKCigbdu22NvbM3z4cHWo3M/Pj3bt2tG4cWMc2raFAQPoaGSELVDVauC9gPkoa4trgWHAh4D/oEG07NqVTp064e3tzY0bN1i3bh0ODg4sWbKExo0bM2TIEGbNmoWTkxP29vbMmDGD5cuXM3jwYEAZ8tdqtXQoCQ+5W1hYGK1atUKr1TJ27Fg++OADxo0bByiXSt28eZOuXSu+EMzNzY3NmzczZcoU7O3t+fHHH9m5cyf16tWr9LVWtU65JAHI5TslSXq0SpYu3XvnDl+hzMJOQJm9bYFyPfPrlbUts3TppEmTeOWVV/D39y/3lJycHPbv309kZCSRkZEkJCTg6+tLv3796Nu3L61bt2bLli2cP3+eRXouaFLWwYMH+fLLL/WeIHa3fv36ceTIEV544QV+/fVXUlNT6dWrF6dOncLCwuK+tik9+WRxliTp0Vu9WlmKsxbW1r5+/Tr79u3jl19+4ZdffsHY2Ji+ffvSt29f+vTpQ6NGjWrYeUmqfbI4S5JUO0oLdG6ukj9VGSMjZaW0h7B0qRCCS5cu8csvvxAZGUl0dDQuLi707duXfv360aNHD6ysrB5oH9VKTVUWUTl7Vrm0zNZWmSg3frxyrbskVUAWZ0mSas/x48pa2eHhShHOzVUf0pmaghCYDRkCs2c/krCPwsJCjh07RmRkJL/88gsnT56kc+fO6hB4586dMTExeTg7O3ZMea179ii38/L+ekyjUb6gDBigvFYvr4ezT+mJIYuzJEm178YN5Wjy3DllgRF7e642aMDgH37gWHx8jS9Nul/Z2dnExMSo56uTkpLo3bu3emTdqlWr++vLYxglkJ4ssjhLkmQQhBC4uLig0Wi4evUqn332GdOmTavVPly7do1ff/1VHQY3NTVVj6r79OlDQ32Goas5vx4BrEaZGBcPPIOyCtqyUaN4Y8uWh/VSHrrIyEgCAwO5c+cOe/fupW/fvkyfPp1WrVoxVX6xePiEJEmSgejQoYPw8vJ63N0QQghRXFwsLly4IFasWCEGDRokbGxsxHPPPSdmzJghIiIiRE5Ozr2Njh4VwtJSCBAbQHRXjpvL/XQCcbjk3/8FAQgdKO2OHRPnz58XnTp1EnZ2dsLOzk706dNHnD9/vsb9j46OFoCYM2eO3m169eolzM3NhZWVlbCyshKtW7e+5zkuLi7il19+EUIIcfXqVdGsWTORn59f4/5JVZPXOUuSZDAsLCy4cuVKpatz1WZ0ppGREe7u7kybNo2dO3eSlpbGqlWrsLa25pNPPsHR0RE/Pz8WLVrEsWPHlL4tWlTuPPrdjkHl0Zm5ubBoEU2aNOH777/n1q1bpKWlMXjwYEaOHFmjvut0Ot555x26dOlSo3YAq1atUkNU/vjjjyqf6+TkRJs2bdi5c2eN9yNVTRZnSZIMgp+fHydOnCAlJQUrKysuXbpEcHAwU6dONYjozMaNGzNw4EB2797Ntm3buHr1KpMnT2bz5s14e3tjbmbG7O3bKRKCi8AU4DBgjRKFCdVEZwoB4eHY6XS4urqqS4iamJgQGxtbo/fy888/p3///rRp06ZG7e6Hr68vP/300yPfz9NGFmdJkgzCvn376NGjB3379uWDDz5QwzsMNTrTxsaGsLAwfHx8SE9P5/dp04g0MmIdSvRlCNANyEZJ5QKqj840MlKzq+3s7LCwsODtt9/mww8/1Pt9TEhIYP369fzv//6v3m3Kmj17Ng4ODnTv3r3S5U7Lcnd3l9GXj4AszpIkGZROnTqxbds29XZdic5slZbG+0JQQXCmqtrozNxcNbs6PT2djIwMVq1axfPPP6/3+zdt2jQWLFiAtbW13m1K/f3vf+fy5cskJyfzxhtvMGjQoGrDQ2T05aMhi7MkSQalRYsWpKWlcemSkmNVZ6Iz//UvJgMVBGeq9InOLJtdbWVlxZQpUxg7dmzFkZx32bVrF1lZWbz66qvVPrciXbp0QavVYm5uzrhx4+jevXu5LzAVkdGXj4bp4+6AJElSWcbGxgwdOlQ9eq4sOrNt27ZAzaIzv/766xr3pzQ6c968ecTHxxMQEICbmxsBAQFqdKapqSkEBUGZS6Equjpan+hM7O3L3SwuLubOnTskJyfj6OhYZdNff/2V48ePq180MjIyMDEx4dy5c/z444/Vv9i76BOdefHiRRl9+QjII2dJkgzOsGHDyg1tlzLo6Mz27YmrV0+NxmwEJAEFZbZVbXSmRsMv5uacOnWKoqIiMjMzef/997G3t1cjKDdu3Iirq2uFzRcsWMClS5c4ffo0p0+fZvDgwbz++uvqOfno6OhKF1VJT08nIiKCvLw8CgsL2bJlC/v37+fFF1+s8v2JiYkp90VIejhkcZYkyeD06NGDK1euqEPLZRlsdObChQzX6SgdKPcD2gGNAYeS+zpC1dGZQpDetSuvvfYatra2tGzZkri4OH7++Wc1wSoxMZHu3btX2Fyr1dK4cWP1R6PRYGVlRf369dW23t7eFbbV6XTMnTuXhg0b4uDgwBdffMGOHTvUUwMVuXbtGhcuXCAwMLDS50j3R64QJkmSQXrjjTdwc3Nj+vTpj7sr+hs6FHbsqHLJzr1QeXTm0KFQwYhBWf3792fFihXqkXRNVBa7qY9ff/2VYcOGkZ+fT3h4OL1792b69Om0bNmSN998s8bbk6omi7MkSQYpIiKC+fPnc/jw4cfdFf2VZFfXKBqzVJnsakmSw9qSJBmk3r17c+nSJb3OCxsMLy8lxMLSsmbtSrOrZWGWSsjiLEmSQapXrx6DBg1i+/btj7srNTN16l8FurpEKyOjvwqzDI+QypDFWZIkgzVs2DC+//77x92Nmps6VRmifvllsLBQYiHL0miU+19+WXmeLMzSXeQ5Z0mSDFZeXh6NGzfmjz/+oFGjRo+7O/enguxqOnSA4GDQJ4JSeirJ4ixJkkEbNWoUvXr1YvLkyY+7K5JUa+QKYZIkGbRhw4YRtnIlkzMy4OxZyMgAW1vw8IDx4+XRp/REkkfOkiQZrmPHKFywgMJduzC3sMAoL++vxzQa5XriAQNg9mxlprQkPSFkcZYkyTCtXg0zZihJTVV9TBkZKYVazniWniByWFuSJMNTWpj1WcxDCOV5M2Yot2WBlp4A8lIqSaqD/vjjD5577jm0Wi0rV6583N15uI4dgxkziLhzh9IVm+NRUp6sgbWVtSst0MeP10InH53g4GA0Gg3NmjUDID8/nzZt2nDjxo3H3DOpNsniLEl10JIlS+jduzdZWVlMmzbtcXfngWzcuBEfH5+/7li0CHJzmQPMuuu56cAbZW7/G3AHtEBbYMedO0p7PQQFBeHk5ISNjQ2tW7dm3bp1Ner3yZMn6dmzJ9bW1jRq1IgVK1bo1W7hwoXlgjk0Gg3GxsakpaUByvuxZ88e9fnm5uZMmDCBxYsX16h/Ut0mi7Mk1UEJCQm0a9eu0seLiopqsTcPUWoq7NnDMSHIALpW8dRkIAhYBmSiBEeMAlJ/+km5trgas2fPJj4+nszMTHbu3MncuXM5ceKEXt1MS0vjxRdfZPLkydy8eZPY2Fj69++vV9sPP/yQ7Oxs9eeDDz7A19cXBweHStuMGjWK0NBQ8vPz9dqHVPfJ4ixJdYyfnx9RUVG89dZbWFtbc+nSJYKDg5k6dSoBAQFYWVkRFRVFRkYGY8eOpWHDhri4uPDpp5+qEYmenp7ljt6MjIyIjo4G4MiRI3h7e2NnZ4enp6d6P4Cvry8fffQR3bt3R6vV0r9/f/WILy8vj6CgIBo0aICdnR1eXl6kpKQAkJGRwcSJE3FycqJp06bMnTuXoqIiLl68yJQpUzh8+DDW1tbYubgAsAfoVc37kATYAQNQhrwHAlZAnBDKoh/VaNeuHebm5gAYGRlhZGREXFycHn8BWLZsGf7+/owePRpzc3O0Wu19pUQJIdi0aRPjxo2r8nnNmjXD3t6eI0eO1HgfUt0ki7Mk1TH79u2jR48erFq1iuzsbDVvd+vWrcyZM4esrCx8fHx4++23ycjI4PLly8TExLBp0yY2bNgAwJkzZ9Qjt2XLluHm5kbHjh1JTk5m4MCBzJ07l1u3bvGPf/yDYcOGlTvfuXXrVjZs2EBqaioFBQX84x//ACA0NJSMjAwSExO5efMmISEhaEqWrQwODsbU1JTY2FhOnTrF3r17WbduHe7u7oSEhNCtWzeys7NJHzYM8vI4hxKlWJXOKEPaO4EilAhGc8CjoEBZjUsPb775JpaWlrRp0wYnJycCAgL0anfkyBHq16+Pt7c3jo6ODBo0iCtXrujVtqwDBw6QmprKsGHDqn2uu7s7Z86cqfE+pLpJFmdJekIMGTKE7t27Y2xsjJmZGWFhYSxatAitVourqyvTp0/nm2++Kdfm4MGDzJ07l507d2JjY8PmzZsJCAggICAAY2Nj+vXrR+fOnQkPD1fbjB8/ntatW6PRaBgxYgSnT58GwMzMTB3iNTExoVOnTtjY2JCSkkJ4eDjLly/HysoKR0dH3nvvPcLCwu59ERkZgHJuWVvN6zUBxqIMZZuX/F6DcvTM7dt6vWdfffUVWVlZHDhwgKFDh6pH0tVJSkoiNDSUFStWcOXKFZ555hlee+01vdqWFRoayvDhw7G2tq72uVqtlvT09BrvQ6qbZHGWpCeEs7Oz+u+0tDR0Oh0uJcPEAC4uLiQnJ6u3ExMTGTFiBKGhoerRd0JCAt999x12dnbqz8GDB7l27ZrarnHjxuq/LS0tyc7OBmDMmDH4+/szcuRImjRpwsyZM9HpdCQkJKDT6XByclK3OXnyZFJTU+99Eba2ANgDWdW83khgJhANFAAxwCTgNCjrV+vJxMQEHx8fkpKSWL16tV5tNBoNL7/8Ml5eXlhYWDBv3jwOHTpERsmXC33cuXOH7777rtoh7VJZWVnY2dnpvX2pbpPFWZKeEEZl4gkdHBwwMzMjISFBve/KlSs0bdoUgNzcXAIDA3n33XcZMGCA+hxnZ2fGjBlDenq6+pOTk8OsWXfPm76XmZkZ8+bN48KFCxw6dIjdu3ezadMmnJ2dMTc3Jy0tTd1mZmYm58+fv6ffeHiAhQUewKVq9nca6IkyvG0MeAFdgEhTUyVYooYKCwv1Pufs4eFRrt9G1UVDVmD79u3Ur18fX19fvZ5/8eJFPD09a7wfqW6SxVmSnkAmJiaMGDFCPQedkJDAsmXLCAoKAmDChAm0adOGmTNnlmsXFBTErl27iIiIoKioiLy8PKKjo0lKSqp2n1FRUZw7d46ioiJsbGwwMzPD2NgYJycn+vfvz/Tp08nMzKS4uJi4uDhiYmIAaNSoEUlJSRQUFChJTUAAypFwVbyAA5QcKQOnSm57GBlBcDDR0dGVFs3U1FTCwsLIzs6mqKiIiIgIvv32W/r06aM+p+wkubuNHz+e7du3c/r0aXQ6HQsWLMDHxwfbkiN/X19f5s+fX2X/Q0NDGTt2rF6FPTk5mVu3btG1a1Xz16UniSzOkvSE+uKLL7CysqJFixb4+PgwatQoJkyYAEBYWBjbt28vN2P7wIEDODs78+OPP7Jw4UIaNmyIs7MzS5cuVWd5V+X69esMHz4cGxsb3N3d6dWrF2PGjAFg06ZNFBQU0LZtW+zt7Rk+fLg6VO7n50e7du1o3LgxDm3bwoABdDQywhb4rYr99QLmA8NRzk8PAz4E+g8aBA0bkpiYiLe3d4VtjYyMWL16tToLesaMGSxfvpzBgwcDypC/VqulQyVH4H5+fixcuJCBAwfi6OhIbGwsW7duVR9PTEyke/fulfY9OTmZffv2MXbs2Cpe4V+2bt3KuHHj9D4nLtV9cm1tSZIMy7Fj4OvL3jt3+AplFnYCyuxtC5TrmV+vrK2lJcTEQOfOTJo0iVdeeQV/f/8ad2Hz5s2cP3+eRXouaFJWUlISI0aM4NChQzVuCzBx4kS+++47tejn5+fj6enJ/v37cXR0vK9tSnWPLM6SJBmemqytXcrSUoZfSE8MGXwhSZLhKS2wMpVKekrJI2dJkgzX8ePKWtnh4UoRzs3967HSPOeAACXPuXPnx9dPSXrIZHGWJMnw3bihLMl57pyywIi9vXK5VHAwNGz4uHsnSQ+dLM6SJEmSZGDkpVSSJEmSZGBkcZYkSZIkAyOLsyRJkiQZGFmcJUmSJMnAyOIsSZIkSQZGFmdJkiRJMjCyOEuSJEmSgZHFWZIkSZIMjCzOkiRJkmRgZHGWJEmSJAMji7MkSZIkGRhZnCVJkiTJwMjiLEmSJEkGRhZnSZIkSTIwsjhLkiRJkoGRxVmSJEmSDIwszpIkSZJkYGRxliRJkiQDI4uzJEmSJBkYWZwlSZIkycDI4ixJkiRJBkYWZ0mSJEkyMLI4S5IkSZKBkcVZkiRJkgyMLM6SJEmSZGBkcZYkSZIkAyOLsyRJkiQZGFmcJUmSJMnAyOIsSZIkSQZGFmdJkiRJMjCyOEuSJEmSgfn/iG7ThssSersAAAAASUVORK5CYII=\n", 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\n", 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" ] }, "metadata": {}, @@ -111,18 +120,19 @@ "source": [ "jt = dlib.junction_tree(G)\n", "node =frozenset([11])\n", - "nx.draw(jt, with_labels=True)" + "plt.figure(figsize=(10,10))\n", + "jt.plot()" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 13, "id": "e2670f58", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -139,7 +149,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 14, "id": "073d9577", "metadata": {}, "outputs": [], @@ -149,13 +159,13 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 15, "id": "e63c63d3", "metadata": {}, "outputs": [ { "data": { - "image/png": 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Fg/TXX38xcuRIypYtS1hYGNu2bePEiRN0797d5AptSkoKc+bMyfERyO/j6OjIoEGDmDdvntxRqFu3LhcuXKBcuXK4uLiwdetWuSMJQppEz1YwGDqdjkOHDuHj48OFCxdwd3fHw8ODokWLyh1NVmvWrGHdunUcPnxY7iipnjx5QtWqVbl27ZrB/P/88ccfDBw4kFq1auHr60uBAgXkjiQIqUSxFWQXHx/P2rVrWbJkCZaWlnh5edG7d2+srKzkjiY7jUZD5cqVWb16NU2bNpU7zlvGjh2LQqFg4cKFckdJlZCQwHfffcemTZsICAigc+fOckcSBEAUW0FG9+/fx9fXl9WrV9OkSRO8vLxo1qyZmM7xL8HBwaxZs4ajR4/KHeU/IiIicHZ25saNGxQuXFjuOG/5/fffGTRoEI0aNcLHxwcHBwe5IwkmTlyzFXKUJEmcPHmSHj164Orqikaj4cyZM+zYsYPmzZuLQvsvGo2G77//XvYRyO9TrFgx+vXrx/z58+WO8h9NmzYlLCwMOzs7qlevzv79++WOJJg40bMVcoRarWbz5s0sXryYmJgYxowZw8CBA8mbN6/c0QzWunXrCAwM5NixYwb7I+TRo0e4uLhw48YNgx0J/NtvvzFkyBBatmzJwoULsbOzkzuSYIJEz1bQq2fPnjFr1iycnJwICgpi+vTp3Lx5E09PT1Fo06HVapk9ezbTpk0z2EILULx4cXr37s2CBQvkjvJeLVu2JCwsDDMzM1xcXPjll1/kjiSYINGzFfTi8uXL+Pj4sGPHDrp3786YMWOoXr263LFyjdDQUHx9fTlx4oRBF1uABw8eULNmTW7evEnBggXljpOuQ4cOMXToUNq3b8/8+fPFDz4hx4ierZBttFotO3fupEWLFnTo0IHy5ctz+/ZtVqxYIQptJmi1WmbNmmXwvdo3SpYsSc+ePQ26d/tGmzZtCAsLQ61W4+LiwpEjR+SOJJgI0bMVPlpMTAyrV69m6dKlODo64uXlRffu3TE3N5c7Wq60adMmFi9ezKlTp3JFsYXXI8tdXV25detWrpnfunfvXtzd3enWrRs//PCDUd4lSjAcomcrZNnt27cZM2YMZcqU4cyZM2zYsIHTp0/Tu3dvUWizSKfTMWvWLKZOnZprCi1AqVKl6NatG4sWLZI7SoZ17NiRK1euEBUVRc2aNTlx4oTckQQjJoqtkCmSJHH48GE6derEJ598gq2tLWFhYYSGhtKgQQO54+V627dvx8bGhrZt28odJdMmTZpEQEAAL1++lDtKhuXPn5+QkBDmzZtHjx49GDduHImJiXLHEoyQOI0sZEhiYiLr16/Hx8cHnU6Ht7c3ffv2xcbGRu5oRkOn01GzZk1++OEHOnToIHecLBk6dCjFixdnxowZckfJtOfPnzNq1CguX75McHCwbPcMFoyTKLZCuh49eoS/vz8rVqygXr16eHt78+mnn+aqU5y5xfbt25kzZw5nz57Ntfv37t271KtXj/DwcOzt7eWOkyWbN29OnQc+ffp0sWyokC3EaWQhTX/++Sd9+vShevXqxMbGcuLECfbu3UurVq1ybSEwZJIkMXPmzFx3rfZdZcuWpVOnTvj4+MgdJct69uzJ5cuXuXnzJrVr1+bcuXNyRxKMgOjZCqlSUlLYtm0bPj4+PHnyBE9PTwYPHpxreyi5ya5du5g+fToXLlzI1cUWIDw8nIYNGxIeHp6rV2uSJIkNGzYwduxY3N3dmTJlChYWFnLHEnIpUWwFXrx4QWBgIP7+/pQrVw4vLy8+//xzVCqV3NFMgiRJ1K5dmylTptC1a1e542QLNzc3KlasyOTJk+WO8tEiIiJwd3fn/v37BAcHU7NmTbkjCbmQOI1swq5du8bw4cMpX748t27dYs+ePRw9epSuXbuKQpuD9u3bh1arNarbwU2ePJklS5YQGxsrd5SPVqxYMXbv3s1XX31FmzZtmDVrFikpKXLHEnIZUWxNjE6nY9++fbRu3ZpWrVpRokQJ/vrrL9asWSN+sctAkiRmzJjB1KlTUSqN5+tYsWJF2rRpg5+fn9xRsoVCoWDAgAFcuHCBkydP0rBhQ65evSp3LCEXEaeRTURcXBzBwcEsWbKEvHnz4u3tTc+ePbG0tJQ7mknbv38/EyZM4PLly0ZVbAFu3LhB8+bNuXPnDra2tnLHyTaSJLFy5UomTZrEuHHjGD9+PGZmZnLHEgycKLZG7u+//8bX15egoCBatGiBt7c3jRo1yvWDcIyBJEk0aNCAcePG0bNnT7nj6EXv3r2pWbMmEyZMkDtKtrt37x6DBw8mPj6eoKAgKleuLHckwYAZ109pAXh9ED927BhffPEFdevWRalUcuHCBbZu3Urjxo1FoTUQhw4d4tWrV3Tv3l3uKHozZcoUFi5cSHx8vNxRsl3p0qX55ZdfcHNzo3HjxixYsACtVit3LMFAiZ6tEUlKSmLjxo34+PiQmJjImDFjcHNzM6pTeMZCkiQaNWrEmDFj6NWrl9xx9OrLL7+kbt26jB8/Xu4oenPnzh0GDRqETqdjzZo1VKhQQe5IgoERPVsj8OTJE6ZNm4aTkxMbN25kzpw5XL9+nZEjR4pCa6B+/fVXoqKi6NGjh9xR9G7y5MksWLCAhIQEuaPoTbly5Th69Cjdu3enYcOGLF26FJ1OJ3cswYCIYpuLnT9/Hjc3N6pUqcKzZ884cuQIP//8M+3atTO6wTbG5M0I5MmTJ5vEFKvq1avTqFEjli1bJncUvVIqlXh7e3Pq1ClCQ0P59NNP+fvvv+WOJRgIcUTOZTQaDdu2baNJkyZ07doVZ2dn7ty5Q0BAAFWqVJE7npABR44cITIy0uhPH//blClTmD9/vkncUadixYocP36c9u3bU7duXZYtW4a4WieIa7a5RFRUFKtWrcLX15fixYvj7e1N165dxZSDXKhZs2YMGTIENzc3uaPkqK5du9K8eXO8vLzkjpJjrl+/zsCBA7Gzs2PVqlWUKlVK7kiCTETP1sDdvHmTUaNGUbZsWS5dusSWLVs4efIkPXr0EIU2Fzp27BgRERH06dNH7ig5burUqcybN4+kpCS5o+SYqlWrcurUKVq0aEHt2rVZtWqV6OWaKFFsDZAkSRw8eJD27dvTtGlT8ufPz7Vr11i3bh1169aVO57wEWbMmMF3331nkj+UXF1dqVOnDitXrpQ7So4yMzNj0qRJHD58GD8/Pzp06MCjR4/kjiXkMHEa2YDEx8cTEhLCkiVLMDc3x8vLiz59+oj7aeZyBw4c4Pnz55QoUYIhQ4Zw8+ZNzM3N5Y4li/Pnz9OlSxdOnz5NcHAwAwYMoHjx4nLHyjEpKSnMmTMHPz8/fvrpJ/r37y/mvZsI0/t5bYDu37+Pn58fq1evplGjRvj5+dG8eXPxJTQS69evZ9OmTSiVSvr06WPS/6+lSpXC3NycMmXKIEkSrq6uJlVszc3NmTZtGp06dWLgwIFs27aN5cuXU6RIEbmjCXomTiPLRJIkTp06Rc+ePalZsyZqtZrTp0+zc+dOWrRoYdIHZGOk0WhQq9WEhoZSp04duePI4vbt25QsWZIHDx6QkpJCnjx5TPZzXqtWLc6ePUv16tWpUaMGGzduFNdyjZwotjlMrVazfv166tWrl7rM2z///MOiRYsoV66c3PEEPXhTUJRKJZaWlnz//fcyJ5JH2bJl8fT0TD2FrlarTbbYAlhaWjJ79mz27t3LzJkz6dGjB5GRkXLHEvREFNv3kDSabP2lGRkZyezZs3FycmL16tVMnTqVmzdvMmbMGPLly5dt7Qjye/ez8/z5c+D1yNQrV67QoUMHuaLJSqVSMX/+fLZs2YKNjQ2JiYloNJrUx3U6Ca3O9Hp3devW5cKFC5QtWxYXFxe2bdsGvF4Ccvz48Rk6DmX38UrIfmKA1P/o1GriDv3Ci5UrUd+5g6TRgEKByt4O+x49cOjdG/MsXFcJCwvDx8eH7du3061bN7y8vKhevboe3oEgF11CAjF79/Jy9RrUDx+CVgtKJWYFC+DQtx9fHzrIk/h4du/ebbIDo9714MEDGjZsyEyflVzXFeXnq0+IV2tAAgszJfXK5Me9aTkalS9gUr3fU6dOMXDgQGrVqsW1a9e4ceMGW7dupUuXLm89T5eUROyBn3mxahXqe/fgzfEqf34cen2Jw5dfYlaokEzvQkiLyRdbSZJ4sXo1LwKWgSShS+PuJAoLCwBsGjSg2NwfMMuf/63HY2JimDRpEgsWLMDKygqtVsvevXvx8fHh5s2bjBw5kuHDh1NIfPiNiqTV8mzhIqI2rAeFEimNtX8VVlag05H3szYUnT4dZZ48MiQ1PDefxDF20yXuPn9FijbtHq2NhYq8VmZ836U6raoWliGlPBISEmjTpg0nT54EoGjRovzzzz9YWFgg6XQ89/fnxeo1AGl/5iwtQZKwbdaMot/PRiXOnBkEky62kk5HxMSJxB36BSkjy8iZm2Pm4EDpDRuwKPF6BKVGo6Fly5acPHmSpUuXolarWbp0KQUKFMDb25vu3btj8b9iLRgPnVrNA/cRJF66lKHPjsLSEvPixSm9fh1mDg45kNBwnb77gsFBZ0lQZ+x2dFbmSr5tV5mBn5TRczLDcPv2bapWrZp6il2lUjFt2jQmT5zIQ++xxJ88mbHjlYUF5oUKUXrDBswLO+o5tfAhJl1sn8z5gegtWzL2wX1DqcSscGHK7tiOyt4eDw8PgoKCSEpKQqlU0r17d7y9vWnQoIFJnf4yJZIk8XCMF/HHf0dKSs74C83MsCxfHqeNoShNdO70zSdxdPU/meFC+4aVuZL53WvQqUYxPSUzHH/99RfffPMN4eHhPHz4kLi4OFQqFfe/+YbY/QeQMrMCl0qFeYkSlNm2DZWtOKsiJ5MYIDVx4kQWL1781t+Srl8nevPmzBVaAJ0OzfPnPFu0iG+//Zbly5enLj+nVCpRqVQ0bNhQFFojkNbnBuDVkaPEnziRuUILoNGg/vtvXq4NeevPYWFhfPLJJx8TVXbv21fv8tp4MdOFFiApRcc3W8OIT9ak+7xu3bpx4MCBTG/fkAQHB9OyZUuuX79ObGws8fHxXN+yhdgDP2eu0AJotWgeP+b5soD/PLRnzx6+/PLLbEotfIjR92wjIyOpWbMm4eHhWFtbc/36ddzc3Ai/ehUpJYWqVlZMcixMeUvLDG2v1Z1wXmi1qBQKkni9FJujoyOJiYkkJCRgbm7O7du3cXQUp21ys3c/NwCbN29m2rRpPAgPp7BSiXfBQrTKmzdD2/smIoLTCfEkShKFLCyY5OPDsOHDUx9v3749Hh4edOrUSS/vR5/e3VdqtZo+ffpw7tw57t27x5EjR2jevDnXImLoHvAHUeEXiT4VivrJHZRWtpTwWJ2hdmwsVHQtEsXugDk8ePAAlUpF06ZNU2/OAXDmzBk8PDw4f/68Pt+y3rxvX/558CAPX70iqGRJ6tlkvIc68P59bquTUUsS5apVY+asWXTu3Dn1cWdnZzZs2ICLi4s+3o7wL0bfsw0KCqJ9+/apB8xixYqxac0a/qhYiZPlK9DC1pbxERGZ2qZf8RKcd6nB89CNJCcn8+DBA54/f05CQgI9e/Zk7dq1+ngrQg5693Pz6NEj+vXrx4/ffsvZKlX5upAj3zyO4IUm/Z7WG8MKFODXsuU4W6Ei/mXLMXnixLcKQt++fVm+fLle3ou+vbuvABo3bsy6deveWhlp1fG/UWt0KMwtsa3eGocWgzPVToJay6+Pzfn555+Jjo4mIiKCChUq4OHhkfqcevXqERsby7lz5z7+jckgrX3ZsGZN5joWpmAW7n080dGRY+XKc75GTRYNHEi/fv14/Phx6uO9e/cmMDAwW7IL6TP6YnvgwAGaNWuW+m97e3sK/nMPhbkZEqBCwf0Udaa3KyUmEr1163/+3rx5c/bt2/cxkQUD8O7n5uHDh9jb29NIowFJopmtLdZKJQ9SUjK0vQqWllgoX3/dpMQESErizp07qY83b96cw4cPk5ycyVPTBuDdfWVhYYG3tzeNGzdG9a8CceDqE7SShGWxStg6t8TMPvNT6WKxRW1pn/pvlUpFeHj4W8/Jzd/BtPbl4AoVqZ0vH6osXJqqZGWFmUI2fpRVAAAgAElEQVSBLiGBuCNHSUlJ4cGDB6mP5+Z9ldsY/drIV65coVKlSm/9TfvyBfUuXSJBp0MHeBYsmKltTngcgQ6oGvkMv8uXqVGjRupjVapU4fLly9mQXJDTu5+bOnXqUKVKFfYePUpttZojr15hoVBQMYOXHwBmPn3CzpgYkiSJag4OtG/fPvWx4sWLY25uzs2bN3PdKb20vmPvStHqSNJk/lrtu8xUCq7fuoNr+abExsaiUqlYsWLFW8+pUqUKJ06c+Oi25PC+41Wmr9X+i8fDB/yRkID65l989tlnby0XWqVKFf755x9iY2PF4jp6ZvTFNjo6mrzvXFeTNFr+rFKVBLWaXTExFMvEQgPzihajqpUVErBeo+Gzzz7jr7/+wt7+9a/tvHnzEhMTk51vQZDBu58blUqFm5sbIz08SE5JwVyhYFGx4tgoM35yaGrhInznWJhLiYlctLPD8p1CnTdvXqKjo7PtPeSUtL5j79LqJBRAdgwQKVikONHR0bx8+ZIVK1ZQuXLltx7PrfsR0t6XupQU+IihNQElSpIiSZzLl4/oNm1Q/usz+6at6OhoUWz1zOhPIzs4OBAXF/fW31R2+VCYm2OjVPKlvT3fZuLaWy0bG6yUSqyVSkY5O2Nvb8/x48dTH4+Li8POzi5b34OQ89793Pz6669888037PT25nKlygSXLMWUJ4+5kckeh0qhoLaNDU+1WgIC3h4hGhcXl/qjLTdJ6zv2LitzFcpsGKGvkyTsbF7/OM6fPz8DBgygc+fOby37mFv3I6S9L83s7eEj5+qbKxS0rFCBQ4cOsXv37tS/v2krt+6v3MToi62Liwu3bt1662829eqBTgeADkiSJJ5msNi+obCwwLbF69vg/XtA940bN946rSzkTu9+bi5dukTTpk1p1LMnKmtrqltb42JtzR8J/11x7EMUNjYoihR+65rto0ePUKvVHzwda4jS+o6lpVbpj1/MQ6lQULagbeq/NRoNz549IzY2NvVvufk7mObxqn59FJk4g5IWhZUVti1aoNFo3vrc3bhxAycnJ9GrzQFGX2zbt2/PsWPHUv/9yy+/cO3FC8yrVOGVVsuPz56RT6mi3P9+Oe6IiabVnfA0txWRksKFhATUkkSyTsfqqCieP39Oo0aNUp9z7Ngx2rVrp983Jejdu5+bunXrcvz4cW6qVJg5OHA9KYnzCQlUsny9OMWZhHiq3vwrzW290GjYHxtLvE6HVpI4ER3N9j//5NNPP019zrFjx2jZsuV/Ti3nBu/uK4Dk5OTU+edqtZqkpCTcm5Yhj4UKSdIhadSg1QASkkaNpP3/gWZPNnxL9In1/2nHwkyJq/Ymf9+5jU6nIzIykq+++gpXV1fy/2sJ1dz8HUxrXyqcnJD+N7UpRYJknS71B356x6u7ycn8/uoVSTodKTod+3Rafv/997cGYOXmfZXbGP01Wzc3N2rWrEliYiLW1tZER0fj6enJw3v3sNBoqG5pSWCJElj+75fjkxQNrtY2aW4rXqdj5tOnPEhRY2lhQa2TJzlw4AAFChQAICkpif379+faOX7C/3v3c9OsWTOmT59Ojx49ePLoEQ46HcMLFKDR/9Y6fpKiwdXKOs1tKYCN0VHMePoEHeCYNy+LFi3i888/T33O+vXrGTFiRA68s+z37r4CqFSpEvfu3QPgs88+AyD8zl2szFW8CL/I09BJqa+/v+ALLEs6U6TPXAC0cc+xLF71P+0ogIp5NbRt25Znz56RN29emjdvzo4dO1Kfc/bsWWxtbalXr56+3q5efWhfDnv4eiTxL2XLUtzcIt3jlQT4vXjOV4/VmJmZUXHlSjZt2kStWrVSnxMaGsq6dev0+6YEwAQWtQCYNGkSjo6OeHt7p/5N0mr5p3cfkm7cgH9N3xj64D4THQtTLp0ehsLaGqeNG7GqVPGtvy9dupQHDx4wb9687H8TQo5L63MDr+/yc7dLV1IePXp9hx9gypPHfJY3L43z2Ka1qVRSnjyMVUBKvnwsX76cChUqEBYWhru7O3/88Yfe3ou+vW9fvWtvWATjt1wmKUWX5uOa2Oc83zWXIv1/euvv1uYqetYtwYzPndPdfrdu3RgyZMhbI71zmzSPV2o1f3fvQfLdu6/v8PM/GTleKfPkocy2rVg4Ob319z179hASEsLmzZuz/T0I/2USxfZ9tLGx/N2jJ5rHj5HUGZtrq7CyooSvL7aNG334yYLRSnnyhL+7dSclKgqlLu3C8RaFAqWNDaWCg7GoUpmlS5cye/Zsxo8fz7hx40zq1nsBR8NZcjicxJSMTQWyNlfSuHwhlvevjVJpusugal6+5O/uPdBERr7VQUiPwsqKUitXYPOv6T6CPIz+mm16VPnyUWbbVqxruaKwtoZ0BiEobWxQ2uWj1OrVotAKmBcpgrRwIXfUarCygnRG2uqsLDFzdMRp00asnauhUqnw9vbm3LlzHD16lHr16pnUpQeP5uWZ2bkaVmZKrM3fvyqShUqBpZmSHnVKsszECy2AWf78lN2+Detq1VBYW6FNp5+kyJOHVyoV2+vUFoXWQJh0z/bfEq9d42VQMHGHDqGwMCcu7hVarRY7GxssyjhRYNgw8rVunXpvW8G0aTQaGjduTL++fRn8ySe8WLmK+JMnX99L9H8ktZqo/PnZZ2nBrH37UKSx3J4kSaxfv57x48fTv39/ZsyYgY1N2tfgjE1MYgrbzj8k8Pe7xCaloPpfMX1zROpbvxT9G5amhINp7I+MkiSJ9dOnY3HgAC5JySgsLXh9Rfv1Z86yYgUKDB2GumYNXOvUYcWKFbRt21be0IIotu/Sxsai/ucfhvftx8NnTwnZv58StWvLHUswMLNnz+bYsWMcPHgwdZEAzcuXpNy/j/ZVPEoba8yLFSPRxgYnJyeuXLmSulh+WiIjIxk7diynTp1i+fLltG7dOqfeiuwkSeLW01e8jFej1UnYWZtTsYgtlmaZXwvYFEiSRPXq1VmyZAnNatVCfe8e2rhXKK2tMC9SBPN/fc6OHDlC3759uXjxIoULF5YxtSCK7Xu8GRG4ceNGXF1d5Y4jGJALFy7Qtm1bLly4QIkSJT74fE9PT+zt7Zk1a9YHn3vgwAE8PDxo3rw5CxYsSB3pLghvHDt2DA8PD65du5ahW3lOmjSJS5cusW/fPnHrTxmZ9DXbDylYsOBbd8gQhKSkJPr378+iRYsyVGgBRo0axYoVKzJ0k4F27dpx9epV7O3tcXZ2ZuPGjYjfw8K/+fn5MXLkyAwXzhkzZvDixQuWLl2q52RCekSxTYcotsK7vvvuO6pVq0afPn0y/JrKlStTvXp1tmzZkqHn29rasnjxYnbu3Mn3339Pp06duH//flYjC0YkIiKCX3/9FTc3twy/xtzcnA0bNjBr1izCwsL0mE5Ijyi26ShUqJAotkKqo0ePsnHjRvz9/TN9Os7T0xNfX99MvaZ+/fqcP3+eBg0aULt2bXx9fdFlZJqRYLQCAwPp1atXppdXLFeuHAsXLqRXr14kJCToKZ2QHlFs01GgQAFRbAUAYmNjGTRoEIGBgRTM5C0ZATp06MDTp085e/Zspl5nYWHB5MmTOX78OJs2baJx48Zcu3Yt0+0LuZ9arSYwMJBRo0Zl6fX9+vXD1dWVcePGZXMyISNEsU2HOI0svOHt7U2bNm3o0KFDll6vUqkYOXJkpnu3b1SuXJljx47h5uZG8+bNmT59eq680byQdTt27KBixYpUq1YtS69XKBT4+/tz8OBBdu7cmc3phA8RxTYdhQoV4smTJ3LHEGS2a9cujh07xoIFCz5qO4MHD2b37t1ERkZm6fVKpZIRI0Zw6dIlLl26hKurK6dOnfqoTELu4efnl+Ve7Rt2dnasX78ed3d3Hj16lE3JhIwQxTYdomcrPHv2jBEjRhAcHIytbfrrHn9IgQIF6NatGytWrPio7RQvXpwdO3Ywc+ZMunfvzujRo9+6xZxgfK5cucKdO3fo0qXLR2+rYcOGeHp60r9/f7TajC2ZKXw8UWzTUbBgQZ48eSKmXpgoSZJwd3dnwIABNG7cOFu2OWrUKAICAt662XlWKBQKunfvzrVr10hKSsLZ2Zm9e/dmS0bB8Pj5+eHu7p5ta2hPnDgRjUbD/Pnzs2V7woeJYpsOKysrLC0tiY6OljuKIIO1a9dy584dZsyYkW3bdHV1pXTp0uzevTtbtufg4MDKlSsJDg5m7Nix9OrVi6dPn2bLtgXDEBMTw6ZNmxg2bFi2bVOlUrFu3ToWLlzImTNnsm27wvuJYvsBRYoUEaeSTdC9e/cYP348ISEh2X5Dd09Pz2xfYKBFixaEhYXh5OSEi4sLQUFB4oyMkQgODuazzz6jaNGi2brdUqVK4e/vT58+fYiLi8vWbQv/JYrtBxQtWlQMkjIxOp2OQYMGMX78eGrUqJHt2//iiy+4desWV69ezdbtWltbM3fuXH7++WeWLl1K69atuXPnTra2IeQsSZLw9/f/6IFR79O9e3eaN2+Op6enXrYv/D9RbD+gaNGiomdrYpYsWUJycjLjx4/Xy/bNzc1xd3fP8jSgD3F1deXPP/+kXbt21K9fn59++umjrxEL8jh8+DAWFhbZNmYgLT4+Pvzxxx+EhobqrQ1BFNsPEsXWtFy/fp3vv/+etWvXokrjlnjZZfjw4WzatElv4wHMzMwYN24cZ86c4eDBg9SvX5+LFy/qpS1Bf95M99HnDQTy5MlDaGgoXl5e/PPPP3prx9SJYvsBotiajpSUFNzc3Pj+++8pV66cXtsqUqQI7du3JygoSK/tlC1blkOHDuHp6Unbtm359ttvSUxM1GubQva4f/8+v//+O3379tV7W7Vq1WLChAn06dNHnAXRE1FsP0AMkDIds2fPxtHRMVtHfaZn9OjR+Pn56X29Y4VCwcCBAwkLC+PevXu4uLhw5MgRvbYpfLxly5bRr1+/j57fnVFjx47F1tY2Q7eCFDJPFNsPEAOkTMOZM2dYtmwZq1atyrF7fjZo0IB8+fJx8ODBHGmvcOHChIaGsmjRIgYMGMDQoUOJiorKkbaFzElOTmbVqlWMHDkyx9pUKpUEBwezfPlyjh8/nmPtmgpRbD9AnEY2fgkJCbi5ueHr65vt0yvSo1Ao9DIN6EM6duzI1atXsba2plq1amzdulVMEzIwW7ZswcXFhUqVKuVou0WLFmXlypX069dP/BDLZgpJfMvSVLNmTYKCgihdujRlypQRC1sYsTFjxvDixQvWr1+f420nJiZSunRpTp06Rfny5XO8/VOnTjF06FAqVqyIn58fxYsXz/EMwn81bNiQCRMmZMvyjFnh6enJs2fP2LhxY46d6TF2omf7Afb29iQnJ4tBJUbq119/ZceOHXqbhvMh1tbWDBkyBD8/P1na/+STT7h48SKurq7UrFmTZcuWiXvmyuzChQtERETQsWNH2TLMnz+f69evs2bNGtkyGBtRbD9AoVCIQVJGKjo6msGDB7N69WocHBxkyzFixAjWrl3Lq1evZGnf0tKSadOmcfToUdauXUuzZs3466+/ZMkivJ7uM2LECMzMzGTLYGVlRWhoKN988w03b96ULYcxEcU2A0SxNU6enp58/vnntG7dWtYcpUuXpmnTprKcxv63atWqceLECXr16kWTJk2YPXs2arVa1kym5uXLl2zfvp2hQ4fKHQVnZ2dmzpxJnz59xOcgG4himwFiRLLx2bp1K3/++Sc//vij3FGA/18vWe4hFEqlklGjRnHhwgVOnz5N7dq1+fPPP2XNZErWrFlDx44dKVSokNxRAPDw8KB48eJMnjxZ7ii5nii2GSBGJBuXx48fM3r0aEJCQsiTJ4/ccYDXNxKQJIljx47JHQWAkiVLsmfPHiZPnkyXLl3w8vKS7TS3qdDpdAQEBOhtHeSsUCgUrF69mg0bNvDrr7/KHSdXE8U2A0SxNR6SJDFs2DCGDRtG/fr15Y6TSqFQMHr06ByfBpQehULBl19+ydWrV4mNjcXZ2ZkDBw7IHctoHTx4EDs7O4P6XMLr+3oHBQUxcOBAIiMj5Y6Ta4limwGi2BqPVatWERERwZQpU+SO8h/9+/fn6NGjPHjwQO4obylQoABr1qxh5cqVjB49mn79+omDrh7kxDrIWdWqVSv69u3L4MGDZb/UkVuJYpsBYoCUcbh79y4TJ04kJCQECwsLueP8h62tLf3792fZsmVyR0lTq1atCAsLo2jRojg7OxMSEiIOvNnk7t27nD59ml69eskd5b1mzZrF48eP8ff3lztKriSKbQaIAVK5n1arZcCAAUycOJFq1arJHee9Ro4cycqVK0lKSpI7Spry5MnD/Pnz2b9/PwsXLqRt27biTjHZICAggIEDB2JjYyN3lPeysLBgw4YNTJ8+PdvvxWwKRLHNAHEaOfdbuHAhKpUKb29vuaOkq2LFiri6urJ582a5o6Srdu3anDlzhpYtW1KnTh0WLVqEVquVO1aulJiYSFBQEB4eHnJH+aCKFSsyb948evfuLRb6ySRRbDPA0dGRly9filtP5VJhYWHMmzePoKAglErD/8gbyjSgDzE3N2fChAn88ccf7N69m4YNGxIWFiZ3rFxn48aN1KtXT++3dcwuAwcOpGrVqnzzzTdyR8lVDP/IYwBUKhUFChTg2bNnckcRMik5OZn+/fszb948nJyc5I6TIW3btuXly5ecOXNG7igZUqFCBX777Tfc3d1p1aoV3333ncGeBjc0kiSlDozKLRQKBcuXL2fPnj3s3btX7ji5hii2GSROJedOM2bMwMnJiYEDB8odJcNUKhWjRo2Sbb3mrFAoFAwZMoTLly9z69YtatSoYTBzhg3ZmTNniIqKom3btnJHyRR7e3vWrVvH0KFDxXExg0SxzSAxIjn3OXXqFGvWrCEwMNAgp1OkZ9CgQezdu5enT5/KHSVTihYtypYtW/jxxx/p27cv7u7u4o5Z6fDz88PDwyNXXN54V+PGjRkxYgRubm7i5hUZkPv+h2UiRiTnLq9evcLNzQ1/f38KFy4sd5xMc3BwoEePHqxYsULuKFnSpUsXrl27hlKpxNnZmR07dsgdyeBERkayZ88eBg8eLHeULJs8eTIJCQksXLhQ7igGTxTbDBKnkXOXr7/+msaNG9O1a1e5o2TZ6NGjWbZsGSkpKXJHyRI7OzsCAgIIDQ1l4sSJdOvWjYiICLljGYxVq1bRtWtX8ufPL3eULDMzM2P9+vX8+OOPnD9/Xu44Bk0U2wwSxTb3OHDgAPv378fHx0fuKB/FxcWFcuXKsXPnTrmjfJQmTZpw6dIlqlatSs2aNVmxYoXJn3bUarUGtw5yVjk5ObF06VJ69+4t1s9Ohyi2GSSKbe7w4sULhg4dSlBQEHZ2dnLH+Wienp65aqDU+1hZWTFr1iwOHz7MqlWraNmyJbdu3ZI7lmz27t1L0aJFqV27ttxRskWvXr345JNPDH4eu5xEsc0gMUAqdxg1ahQ9e/akRYsWckfJFp07d+bOnTtGM3+1evXqnDx5kq5du/LJJ58wZ86cXHua/GPktuk+GbF06VKOHTvGli1b5I5ikESxzSAxQMrwhYaGEhYWxpw5c+SOkm3Mzc0ZMWKEUfRu31CpVHh5eXHu3DmOHz9OnTp1OHv2rNyxcsytW7e4dOkSPXr0kDtKtsqbNy8bNmxg1KhR3L9/X+44BkcU2wx6U2wNfVUfU/Xo0SO8vLwICQnB2tpa7jjZavjw4WzZsoWXL1/KHSVbOTk5sX//fiZMmECnTp0YN24c8fHxcsfSO39/f4YMGYKVlZXcUbJd3bp1GTduHH379hXLd75DFNsMsrKywtramqioKLmjCO+QJInBgwczevRoo7kG9m+Ojo507NiRNWvWyB0l2ykUCvr06cPVq1d59uwZzs7OHDx4UO5YehMfH09ISAgjRoyQO4refP3111hYWBjVGabsIIptJohBUoYpICCAqKgoJk6cKHcUvRk9ejT+/v5G21soWLAgISEhLFu2LHWhhBcvXsgdK9utX7+eJk2aULp0abmj6I1SqWTt2rX4+vpy6tQpueMYDFFsM0EUW8Nz+/Ztpk6dSkhICObm5nLH0Zv69etToEABDhw4IHcUvfrss8+4cuUKBQsWxNnZmQ0bNhjNpZvcuA5yVhUvXpzAwED69u1LTEyM3HEMgii2mSBGJBsWjUaDm5sb06ZNo1KlSnLH0bvRo0cb1UCp97G1tWXhwoXs2rWLuXPn0qFDB+7duyd3rI928uRJkpKS+PTTT+WOkiM6d+5Mu3bt8PDwMJofTB9DFNtMECOSDcuPP/5Injx5TKKnANCzZ08uXrzIzZs35Y6SI+rVq8f58+dp3LgxtWvXZsmSJbn6NLqfnx8jR47MlesgZ9VPP/3E5cuXCQkJkTuK7Eznfz0biNPIhuPixYv4+PiwZs0akzl4WVlZMXToUPz9/eWOkmPMzc2ZNGkSJ0+eZNu2bTRq1IirV6/KHSvTHj9+zM8//8yAAQPkjpKjbGxsCA0NZdy4cYSHh8sdR1amcZTKJqLYGoakpCT69+/PwoULKVmypNxxctSIESMICQkhLi5O7ig5qlKlShw5coTBgwfTokULpk6dSnJystyxMmzFihX07NkTe3t7uaPkOBcXF6ZMmUKfPn1McgGTN0SxzQRRbA3D5MmTqVy5Mn379pU7So4rWbIkLVu2NMnTckqlkuHDh3Pp0iWuXLlCzZo1OXHihNyxPiglJYXly5ebzOWOtHh6elKwYEGmTZsmdxTZiGKbCWKAlPyOHTvGhg0bWLZsWa67R212eTNQylQHnRQvXpwdO3bw/fff8+WXXzJy5EhiY2PljvVeu3btomzZsri4uMgdRTYKhYKgoCCCgoI4cuSI3HFkIYptJogBUvKKjY1l4MCBBAYGUrBgQbnjyKZZs2aoVCp+++03uaPI6osvvuDatWtoNBqqVavG7t275Y6UJlOZ7vMhjo6OrFmzxmjnUH+IKLaZYGdnh1qtJiEhQe4oJmns2LG0atWKjh07yh1FVgqFwmSmAX2Ivb09gYGBhISEMH78eHr27GlQP4ivXbvGzZs3+eKLL+SOYhA+++wzevbsybBhw0zuzIwotpmgUCjEdVuZ7N69myNHjrBw4UK5oxiEvn378vvvvxvF/NPs0Lx5cy5fvkz58uVxcXFh9erVBnEw9/f3Z9iwYVhYWMgdxWDMmTOHv//+m8DAQLmj5ChRbDNJFNucFxkZyYgRIwgODiZv3rxyxzEItra2DBgwgICAALmjGAxra2vmzJnDL7/8gr+/P61atZJ1uklsbCyhoaEMHz5ctgyGyNLSktDQUL777juuX78ud5wcI4ptJolim7MkScLd3Z1+/frRpEkTueMYlJEjR7J69WoSExPljmJQatSowenTp+nQoQMNGjRg3rx5aDSaHM8REhLCp59+SvHixXO8bUNXuXJlfvjhB/r06UNSUpLccXKEKLaZJEYk56yQkBBu377NzJkz5Y5icMqXL0/dunXZuHGj3FEMjpmZGV999RVnzpzh119/pV69ely4cCHH2jeldZCzaujQoZQvX96obyDyb6LYvsPDw4MyZcpw/fp1OnTogLOzM8+fP099XIxIzjn3799n3LhxhISEGOW9P7PD6NGjWbp0KU+fPiUwMNCkFw1IS9myZTl48CDe3t60a9eOr7/+Wq8DHM+cOcOuXbs4fPgwSqWSZs2a6a2t3E6hUBAYGMi2bduM/gYbIIrtf5QoUYLHjx+TkpJCREQEcXFxODg4pD4uTiPr199//83u3bvR6XQMHDiQr776ipo1a8ody2A5ODhw69YtSpYsyYgRI8RnMw0KhQI3NzeuXLnCo0ePqF69OocPH9ZLW2vXrqVbt2506NABJycnIiMj9dKOscifPz8hISEMGTKEp0+fEhMTw7lz5+SOpRei2L7Dy8srdeSgtbU1P/74IyqVKvVxUWz1a/369XTp0oUaNWoQFxfH119/LXckg7Vq1SoaNmxIQkICKSkpmJmZvfXDUHibo6MjGzZsYMmSJQwePJhBgwbx8uXLbG2jcOHC6HQ61Go1hw4domzZsqjV6mxtw9g0a9aMwYMH07lzZypUqMDnn38udyS9EMX2Hba2tkyYMAF4Pa+2R48ebz0uiq1+hYWFIUkSV69e5fbt2ya/cEN6evfuTdu2bVNPsWs0GmxtbWVOZfg6dOjA1atXyZs3L9WqVWPTpk3ZNk0of/78qT/Ozc3NCQ0NFdN+PkCj0aDVajlz5gyRkZFERkYa5aApUWzT4OXlhUqlYvz48W/1akEMkNK3f08FSEpKEgs3pMPGxoZ9+/YxfPhwVCoVZmZmJruEZWblzZuXJUuWsH37dmbOnEnnzp158OBB6uNJSUlZup1f3rx50Wg02NnZceLECTp16pSdsY3Svn37mDt3buoPHktLS27duiVzquynkAxh5reBiE1KYfv5h5y7F8XjF7E45MuDU4E89KxbkoqFX8/v1Gq1WFtbEx8fj7m5ucyJcxeNVsevN55y8NpTXrxKRqlUUDifFZ1civFJuQIolQqsrKxISUmhcOHCLF26lC+++EIUkAyYPn06fn5+3Dt0iJjdu0l5/BjUKagcHMjTpDH52rVDaWkpd0yDpFarmTt3LkuWLGHGjBm4u7tTv359XFxcWLNmTZqveRiVwKazD7j1NI5XSRryWZtTrXg+bB5f4mvPEVy+fJkSJUrk8DvJvQ4fPsyYMWO4c+cOycnJBAUFMWDAAOKSUth58RF//v2SqIQUrM2VlMpvQ8+6JalcJJ/csTNFFFvgTuQr/I+EszfsMUqFgsSU//9Fq1KAuUpJeUdbRrUoT1vnIhQvXpyzZ8+K+XMZFJ2gZtWJv1n7xz00Wh3x6rd7DDYWKvJamTG0cRm++rwu48d6MXHiRHH6LYMkjYbo7Tt4sXIFmsjnSElJ8K+vtcLGBg5sGS0AACAASURBVAD77t0oMGQo5oUd5Ypq0K5fv86wYcN4/Pgxjx8/RqFQcPz4cWrXrp36nFPhz1n6WzgX7kehkyRStP+/ny3NlEgSNKtUiNEtylOjpOndTu9jSJLErl27cHNzo233/pRuN5zdlyPSPiabKSlTMA8jm5eno0vRXPGD3OSL7ZGbzxi1/gLJGh1aXfq7wtpcRfvqRTgybxiBywKoU6dODqXMve69iKfn8j+ISkhBrdGl+1wrcyVOBfKwfmh9CtiKXlhG6OLjeTByFIlhYUgfWtzCzAxlnjyUWr0K62rVciZgLvPgwQPKly+fOqipWrVqhIWFoVAo8Pn1Nst+v0tSSvqnlxWK14V3eqdq9KpXKidiG5XjtyNxDzlPcooW7Qeqk7WFitZVCrOgZw3MVYZ9VVQ1ffr06XKHkMvJ8OcMDzlHYoqOjPzk0Ogk/nkej9K+KHWLWFCpUiX9h8zFHsck0mnpCV7Gq9F84IcMvN6/MQkp/HztKd1rl8DCzLC/PHKT1GruDxpM0tWrr3uzH6LTISUnE7tvH3lbtsCsQAH9h8xlxo4dS1hYGBYWFmg0GiIjI5EkiTBtCZZnoNC+odFJnAx/TuF8VlQrZqfn1Mbj9N0XDAk++/qYnIHna7QS917G89eTODpUN+werlEczSZOnMjixYsz9ZoXr5IZvvYcSSnp97belZiiI86uLAduxmTqdXv27OHLL7/M1GvkkpX9+S5Jkhi4+iyxSRoyUGdTpegkIqITGbf50ke1v3Tp0tRR5YYuq/v76U8LSPrrL6Tk5Ey9TpeQwL1Bg5EysQBGcnIylStXNvh5ox/72Z09ezbbtm1j4cKFTJgwgfr163MxIpHlv99961RmRiSm6Ji66xo3n8RlOU9aunXrZvCLQGTl/yEmIYWhwZk/Jiel6Dj6VyRBp/7J1OuePn1KlSpVSM7k9yercn2xjYyMZO3atbi7uwOvr7vUqVMHBwcHHBwcaNWqVZqLXYeevZ/uaeOk+1e492NHon4P+c9jOoUZv7/M85/pAs2bN8fKygpbW1tsbW3f6vl26tSJa9euERYWltW3miPe3Z8AmzdvpkqVKuTNm5eqVauyc+fOD27nwv1oHkQlEHV2N4+Dvbn3Uxee71v0n+cl/nOJRytGcH9BN56ETkQT84xkjY6jNyN5Gvv+3trz589p1KgRBQoUwN7enoYNG3Ly5MnUx4cNG8b69et59uxZJvdAzsrq/tYlJBC9efN/erTfRETQNPw2dW/fot3dO2yNjv5vo5KELjGRuN/+exPvCxcu0LRpU2xtbSlcuDA+Pj7A6xGigwcPZu7cuR/5jvUnOz67xYoVo1OnTnh4eFCiRAk0Gg37g314sPOnTGWJPbuTR8uGcHPeF9SuWpaxY8dmeH1mSZL4/vvvKVWqFPny5aNXr17Exsb+X3t3HhdVvf9x/DUzzMKmoICImuSGiGLmQikp2XVfy6Uw03vTm3bvtT1Nc8XcqmuZeVstl3IpzaXS/OU1V9TMJC1XQBQ0UVB2hmFmzu8Pr6MI6CAzDsvn+Xj4x8xZ5st3vp73fM/5nu+xLZ8wYQKTJ08uU3nuppu/B5PJxODBgwkODkalUrF9+/YSt/vql2Qs1qJBa8nN4NLGN0lZNIKz7wzlwhevUnD+RLFt8wst/Gd7Atabjunjx4+nQYMG1KhRg4YNGzJ79mzbsjp16vDwww/ftacPVfqwXbJkCb1798bd3R24+p9lzZo1XL58mbS0NPr3788TTzxRZBuLVeGz3UkYS7mGqFjMXP7vx+jqln6a2GhVsy+x+A3x77//Pjk5OeTk5HDiRNFGER0dXeEfK3VzfZ47d47hw4czf/58srKyeOuttxg2bNhtQ+yT//UE3LxqU/PBx/Fq1a3YOpa8TC6tm43PQ8Np8PxK9IFNubRhnm358r2lPz7Oy8uLzz77jEuXLnHlyhUmTJhAv379bAc0g8FAr169WLZs2Z1Uw11zp/Wd+d33Vy8O3uTvtWuztVFjDjRtxqJ69VmQdok/SjjFrOTmkv7JJ0XeS0tLo2fPnowZM4b09HTi4+Pp3r27bfmwYcNYunTpXesJlJWj2u41QUFBjHn+VbzDi7fd23FvEkHdvy7gnhe/JvBvizh4KI733nvPrm2XLVvG8uXL2bNnD+fPnyc/P59x48bZlnfo0IGsrKwKO9PSzd8DQGRkJF988QWBgYElbmO1KnyyK5H8m3q11kIj+sCmBI58lwbPr8Sz5SNcXDMDq6n4+IQ8k5nd8WlF3hs1ahTHjx8nKyuL2NhYvvzyS7755hvb8ieffJKPPvqoPH+u3Sp92G7evLnI/KM+Pj62X1CKoqDRaIo9ZmtPfBoFtzgllHVgHe7BbdDWLn3ovgU1n+05XaayRkVF8f3335dpm7vt5vpMSUnBx8eHXr16oVKp6NOnD56eniQkJJS6jyxjIdtOXERRwCOkIx7NHkTtXnyYft7Jvej87sGzeSQqNx01Ow2j8NJpCtOTKTBbWb6v9LA1GAyEhISgVqtt3/OVK1eKzAhUlev78pIlJQ6IaqrXo1Nf/W+tUoEKOFvKDEYFp05hOnvW9nr+/Pn06NGDJ598Er1ej7e3N6Ghobbl9evXx9fXl3379pXnT3YaR7TdGz322GOk1Q5HbSj7Yx21vnVRG65OMKIGLucW2v24v2+//ZZRo0bRoEED2yQ7q1evLjKnc0Vu2zd/DzqdjhdeeIHIyMhi8xZc83PSZXILivf8tT6B1OjwKG5etVCpNXjf1xPFUkjh5XPF1s0tsLB4d9FjckhICJ6enrbXarW6yPcQERFBYmLiXXkudKUP2yNHjpQ4UMnHxweDwcC4ceOYNGlSkWVn0nNLPYVszrxIzuEfqdkp+tYfrFKTcDGn2NsTJ07Ez8+PTp06FTtdEhoaSlJSUpFTQhXNzfXZrl07QkND2bhxIxaLhfXr16PX6wkPDy91HxcyjejsGBlYmHYGbcC9ttdqnQE3n0BMaVcDINtYSIH51tfJwsPDMRgM9O/fn9GjRxMQcP22ltDQUH777bfblsOV7rS+C28xsUpM6gXuP3mCPqdP4+/mRudSZpVS6XSYzl6fyGHfvn3UqlWLjh07EhAQQL9+/Th7QxhDxa5TR7Tdm51Izb7tiNjS5B7dztl3hnBq/uOcPnm0yOnt27nxEpWiKBQUFHDq1Cnbe5Xpe7DHmfRcu8Z2mFITUSxmtL51S1yeeKn4MXnu3Ll4eXlRv359cnNzGTZsmG2Zm5sbTZo0uSt16eb0T3CyjIyMEh8onpGRQW5uLkuXLqVhw4ZFluWaLKWOjr289SN8HhqOWude4vIb5d10v+i8efNo0aIFOp2OVatW0a9fP+Li4mjcuDGArZwZGRnUqFExb8i+uT41Gg0jRoywPXdSp9Px9ddfF/m1eLPcAnNJZziLsZqMaDyKjtRU6z1R/neKyE2tJrfAgt6t5F/DcHV6R6PRyLp164rNQevt7U1mZtkGst1td1rfyi3m251aJ5DXA+oQl5/Pgfw8dKV9GYqCNTfX9jIlJYVff/2VH3/8kVatWjF+/Hiio6OLXAv39vYmo6TrwBWAI9ruzUrqbdnLs0UUni2iKLx8jgbpB6hTp45d2/Xs2ZM333yToUOH4uvry7x5Vy+t3NizrUzfgz1yCyy3vfXSWpBH2nf/xqdTNGp9yd9hSYPYXnvtNSZMmEBcXBzr16+nZs2ix5y7VZeVvmfr6+tLdnbJo/08PT0ZO3YsI0aMKHKdxlPvhpu6+AEoL34/VlM+nqGd7fpsD33REIiIiMDb2xu9Xs/IkSPp1KkTmzZtsi2/Vk4fn4p7s/vN9bl161bGjx/P9u3bMZlM7Nixg9GjRxMXV/poYS+9G1Y77qVS6wxYTUUfd2YtyEP1vx86ZqsVL/3tfw8aDAaio6OZO3dukV+o2dnZxf5jVTR3Wt+q28wGpVGpaOvhwYVCM6syrpS8kkqF2uv6Qcvd3Z1HH32U9u3bYzAYmDZtGrGxsUV+sGRnZ1fY9uuItnsze9rf7Whr1eOexiH84x//sGv9p59+mujoaKKioggLC+Phhx8GKDIjVWX6HuzhpXfDTVP6L3RrYQEX18agDwqh5oNDS13PQ1fy96VSqWjTpg3u7u5MmzatyLK7VZeVPmzDw8NvOY+m1WolLy+Pc+eun+Nv7O+JuoSwNSb9hunCKZLfH07y+8PJO76L7F82cHHtzGLrKlYr9/re+oB37brxNceOHSM4OLjC9mqheH3GxcXRuXNn2rVrh1qtpn379kRERLB169ZS91HXxx2zHefetH4NKbx4/RqL1WTEnHEBnd/ViQB8PXRlute2sLCQxMRE2+tjx47RunVru7d3hTutb52dUwFaUEg2lXyLj2IyoQ8OLlKWG+9TLOmexYpcp45ouzcLC6rJLTLALh46DXW8tHZfK1ar1cyYMYOkpCRSUlIICwujXr16RWasq0zfgz0a+Zd+tkExF3LpmzfQeNemVs9/lbqeCmgacOsHcZjN5iLfg9lsJj4+/q7UZaUP2969e7Njxw7b6x9//JFDhw5hsVjIysripZdewtfX1zbQY8mSJQx7pF2Jv1h9HhpOvb9/TNBfFxL014W4N4nAq3UPavd+AQDj2cOcmdcXAJW1kJ73Xp8bOSMjgy1btmA0GjGbzXz55Zfs3LmTnj172tbZsWMHvXr1cko9OMrN9dm+fXt27dpl6w0cOnSIXbt22a57bd++vdhB2UvvRo+wQNQqUKwWFLMJFAsoVhSzCcV69VSPR7MHMV06Q+6JPShmE5mxK9H6B6Ot3QC9m5qA+I1ERUWVWM59+/axe/duTCYT+fn5zJs3j9TUVCIiImzrVOX69v3bX7HeNJ1lutnMpqwscq1WLIrC7twcNmVl8YCnh22dFieO83Pe1VPHhrAwtDccwP/2t7+xbt064uLiKCwsZObMmURGRtrODpw7d47Lly/zwAMPOKcyyskRbfdGZrOZx1oHANZibRfgzLy+GM+WfCtf9m9bsORePTWZf/EMW1d9zCOPPGJbHhUVRWnzCV2+fJmEhAQUReHo0aO89NJLTJ06FbX6+uG6Irftm78HuHqf9rUn+ZhMJoxGo60jsmTJEgZH3Y+PR/G55hWLmUvrZ6PS6vHr8xIqVdHIMmemcmZeX8yZqbjrNIx+qJFtmdVq5aOPPuLKlSsoisLPP//MokWLinwPP//8M8HBwcUuNTpDpb9mO2LECO677z7y8/Nxd3cnIyODcePGkZKSgru7Ox06dOCHH36wPYYsOTmZTp06EfVQI/7944kiN1Cr9R6gv35gUrnpUGkNaNyvXn8wZ6Whr3c1tN3M+dQsvD7ytbCwkMmTJ3P8+HE0Gg3Nmzdn/fr1NGvWzLbOypUr+eKLL5xaH+V1c3126dKF6dOnM3jwYFJTU/H392fSpEm2W0KSk5Pp2LFjsf0807kRPx5N5c9dX5K5Z6Xt/dw/fqJmp2h8Ip9E41ET/0cncfnHD0n/7t/o6jbDf8B4ABSglpJNcKdOJZazoKCA5557jsTERLRaLa1ateL7778nKCgIuPrUlk2bNnHw4EEH15BjlbW+z5w5Q0hICN2mTeMTUyGGG/alAlZlXGFG6gWsQJCbltcC6tDV62r7/bOwEE+1mmZ6AypPT2qPHl2kLF27dmX27Nn06dOHvLw8IiMjWbFihW35ihUrGDlyJPoK+kADR7Xda9544w1mzJhhe31j2zVnXUKlc0frH1zitgUpx8jYuRylMB9vn9o8M3IYM2deP0N27ThUkrS0NPr160dycjL+/v48//zzPPPMM7blBw4cwMvLiw4dOpSleu6am78HuDoq+NqI3x49egBw+vRpgoODbXXR7aFGzPvhRJHrrgXnjpGfcACVm57kd69PChQwZDqGBi0xZ11CUyMAjVdtarpreaBRrSJlWbduHRMnTsRkMhEUFMS4ceOK3Eb15ZdfMnbsWKfVxY2qxNzIkyZNIiAggBdeeOG263bv3p0FCxYQ1LAJkW9uI9to/wCI9M3v4RHSiVohHWiQupvhkc0YMWKEXdt+++23LF++nK+++sruz3OVstTn6NGjGTJkiO0/0I0GLtrN7+ey7Jqq8UZ6NzW9Wgayfe7f+O9//0vtO5hWcOHChSQnJ/Pmm2+Wedu7zZ76tlgsrFmzhrFjx+Lv78/8+fPpcOoUl5cus2+qRmBjZibxpgJeqhOIW2AgTX78P1Sl3Ipxs4KCAlq3bs3OnTuLjPiuaBzVdm/08+nLjPhsf5Ef5jl//ERh2hl8u/z1ltu6azV8/1wkjfyvn95MSUlh6NChxMbG3raMJRk0aBCjRo2id+/ed7T93XAnx+T69zYhct5PZObbP7NZRuwqNB41CWjfl+n9W/B4e/vnor548SJdunTh0KFDts6YM1WJsL1TB89cYfin+8s0DZu7VsOg++tRELsMPz+/SjMloCuk5xTQe8Eu0nJNtx1peI3OTU1jf0/W/aMTBq19QVCVmc1mVq9ezRtvvIGPjw/Tpk2jR48eV8cDWCwkPzOGvF9+sX/KRpUKtZcX936zFl2DBs4tfBWyeHcib285WaZjhUGrZv7Q1vRuFeTEklUth1MyePyjfWU+Jve/L4i5j7WSuZErqrYNfVk2qgNeeje0doyCcNdqGBZxDzEDWlK3bl15iPxt1PbSs+FfkTTwdcegvX1Tc9dqCK9Xk6/GPFjtg9ZsNrN06VJatGjBhx9+yMKFC4mNjaVnz562A4pKo6H+B//BMzISlfvtb1VT6fVoatUiePVqCdoyGhXZiPE9QzBo1ZQwtrIIjVqFu1YjQXsHwuv78OXfI/A2uKGz85g8pF195jxasYMWqnnP9przGfl8tuc0K38+CwpFnreq06hRqaB9cC2ejWpMpyZ+wNXrrxs2bGDVqlWuKnalkVtg5qsDyXy0K5Hs/MIi9atWgd5NQz0fA2O6NGZgm3oV/lFZzmQymVi+fDmzZ8/mnnvuYerUqURFRd3yQKJYrWT/uJX0Tz6hIP4USqEZLNfrWOXpiVqnpdaIEfhGR6OpoLeMVAaHUzL4cHsC/z1+ERUUmfLVXatBQaF/6yCe6dyYJrcZGStKdyHTyOd7TvPl/rMoilLkmKHVqFCrVNx/jy/PRjWmczN/F5bUfhK2NygwW9h85AKHzl7hcq4JD70b99Ty4NE29QjyKdpz2L59O9OmTSs26k6UTlEU9iams+3YRdJyClCrVdSpYaBXy0DC61fvACgoKGDJkiXMmTOHpk2bMmXKFDp3tu9+7yL7SUgg87vvid+/j7PxCUQNHIDnAw/g1aWL3ddnxe1dzjWx/lAKpy7mkmUsxNddS2hQDQbcV88h9+aKqwrMFn74/QK/nvnfMVnnRoNa7gxsU4/6vh6330EFImF7h06cOEG/fv3KfD+ZEDcyGo0sXryYuXPn0rJlS6ZMmXLLEbL2Wrt2LStWrGDt2rUOKKUQorzkJ9gdkmu2ojzy8/P5+OOPefPNN7n//vtZu3Zthb2VQwhRfhK2d8jb2xuLxUJOTg5epUz0LsTNcnNz+eijj3j77beJiIhg48aNtG3b1tXFEkI4WfUdiVJOKpVKerfCbjk5Obz55ps0btyYvXv3snnzZtatWydBK0Q1IWFbDnXr1uXChQuuLoaowLKyspg9ezaNGjXi0KFDbN26la+//rrCzmsrhHAOOY1cDtKzFaXJyMjgvffeY+HChfTs2ZMdO3YUeRC7EKJ6kZ5tOUjYiptdvnyZqVOn0qRJExITE4mNjWX58uUStEJUcxK25RAYGChhK4Crk8dPmjSJpk2bcv78efbv38+SJUto2rSpq4smhKgAJGzLQXq24uLFi0yYMIGQkBAuX77MwYMH+fTTT2ncuLGriyaEqEAkbMtBwrb6+vPPP3n55Zdp3rw5ubm5xMXF8eGHHxJ8w8PYhRDiGgnbcpDRyNXPuXPneP755wkLC8NisXDkyBHef/99GsjE/kKIW5CwLQfp2VYfZ8+e5Z///CetWrVCq9Vy9OhR3n33XerVq+fqogkhKgEJ23Lw8/MjMzMTk8nk6qIIJ0lKSmLMmDG0adMGb29vjh8/zttvv01gYKCriyaEqEQkbMtBrVbj7+9Pamqqq4siHCwhIYFRo0bRtm1b/Pz8OHHiBHPnziUgIMDVRRNCVEIStuUkp5KrlpMnTzJy5EgiIiKoX78+p06dYtasWfj5+bm6aEKISkxmkConCduq4dixY8yaNYstW7bw3HPPER8fj488ZF0I4SDSsy0nGZFcuf3+++888cQTdOnShbCwMBISEpgyZYoErRDCoSRsy0l6tpVTXFwcgwcP5i9/+Qtt27YlMTGRiRMnUqNGDVcXTQhRBUnYlpNM2Vi5HDx4kIEDB9K7d286depEQkICr776qjyTWAjhVBK25SQ928ph//799O3bl/79+9O1a1cSEhJ48cUX8fT0dHXRhBDVgAyQKicJ24otNjaWmJgYjh49ymuvvcaaNWswGAyuLpYQopqRsC0nGSBVMe3cuZOYmBji4+OZNGkSGzZsQK/Xu7pYQohqSsK2nOrUqUNqaipWqxW1Ws7Ku5KiKGzfvp0ZM2aQnJzM66+/zlNPPYVWq3V10YQQ1ZyEbTnp9Xq8vb1JT0/H39/f1cWplhRFYevWrcTExJCamsrkyZMZNmwYbm7SvIUQFYMcjRzg2nVbCdu7S1EUfvjhB2JiYsjIyGDKlCk8/vjjaDQaVxdNCCGKkLB1gGthGx4e7uqiVAuKovDdd98RExOD0WhkypQpDBo0SEJWCFFhSdg6gIxIvjusVisbNmwgJiYGq9XK1KlTefTRR+VauRCiwpOwdQAZkexcVquVtWvXMnPmTLRaLdOnT6dfv34SskKISkPC1gECAwNJSkpydTGqHIvFwldffcUbb7yBp6cnc+bMoXfv3qhUKlcXTQghykTC1gHq1q3L3r17XV2MKsNsNrNy5UpmzZpFrVq1mD9/Pt27d5eQFUJUWhK2DiDXbB2jsLCQL774glmzZhEUFMSiRYvo2rWrhKwQotKTsHUACdvyMZlMLFu2jNmzZ3PvvfeyePFiunTp4upiCSGEw0jYOsC1sFUURXphZVBQUMDnn3/OnDlzCAkJYdmyZURGRrq6WEII4XAStg7g7e2NSqUiJycHb29vVxenwjMajXz66afMmzePVq1asWrVKh588EFXF0sIIZxGwtZBrj3XVsK2dHl5eXz88ce89dZbtG3blm+++Yb27du7ulhCCOF0cqOig8h129Ll5uby9ttv07hxY3bu3Ml3333Hxo0bJWiFENWG9GwdRMK2uOzsbBYtWsQ777xDly5d2LJli0xpKYSoliRsHUTC9rrMzEwWLlzIggUL6NatG9u2bSMsLMzVxRJCCJeR08gOImELV65cYcaMGTRu3JiTJ0+ya9cuVqxYIUErhKj2JGwdJDAwsNrOj5yens6UKVNo0qQJSUlJ7N27l2XLltG8eXNXF00IISoECVsHqY4920uXLjFx4kSaNWvGhQsXOHDgAJ9//jlNmzZ1ddGEEKJCkbB1kOoUtqmpqbz66quEhISQkZHBr7/+yieffEKjRo1cXTQhhKiQJGwdpDqE7fnz53nxxRcJDQ3FaDTy22+/8cEHH9CwYUNXF00IISo0CVsHqV27NtnZ2RQUFLi6KA6XkpLCuHHjaNmyJQC///47CxcupEGDBi4umRBCVA4Stg6iVqsJCAioUoOkzp49y7PPPkt4eDgGg4GjR4/yzjvvEBQU5OqiCSFEpSJh60B169atEmF7+vRpnnnmGdq0aYOPjw8nTpzgrbfeIjAw0NVFE0KISknC1oEq+3Xb+Ph4nn76adq1a0edOnU4efIkc+bMwd/f39VFE0KISk1mkHKgyhq2J06cYNasWWzatIl//etfxMfH4+vr6+piCSFElSE9WweqbGF79OhRhg0bRmRkJM2aNSMhIYHp06dL0AohhINJ2DpQZQnbw4cPM3ToUB5++GHCw8NJTExk8uTJ1KxZ09VFE0KIKknC1oEq+pSNcXFxPPbYY3Tv3p0OHTqQkJDAa6+9Js/gFUIIJ5OwdaCK2rP95ZdfGDBgAL1796Zz584kJibyyiuv4OXl5eqiCSFEtSBh60AVLWz37dtHnz59GDhwIN26dSMhIYEXXngBDw8PVxdNCCGqFRmN7EB16tTh0qVLWCwWNBqNy8qxZ88eYmJiOH78OBMnTuSbb75Br9e7rDxCCFHdSc/WgXQ6HTVr1iQtLc0ln79jxw4eeeQRnnrqKYYMGcKpU6cYO3asBK0QQriY9Gwd5Ny5cxw6dAidTse0adPQaDTMnDmTWrVqOfVzFUVh27ZtxMTEcO7cOV5//XWGDx+OVqt16ueKiiktLY3Fixdz+PBhTpw4wZw5c4iMjOShhx5yddGEqNZUiqIori5EVfDUU0+xevVqLBYLiqKgVqu5dOmS0+5ZVRSF//u//yMmJoa0tDQmT55MdHQ0bm7y+6k6i4+Pp2nTpqhUKhRFQaPRMHnyZKZPn+7qoglRrUnYOkhSUhJhYWHk5eUB0L9/fzZs2ODwz1EUhc2bNxMTE0NWVhZTpkxh6NChLr1GLCqWgQMH8u2332K1WvH09CQlJQUfHx9XF0uIak2u2TpIcHAwU6ZMwc3NDZ1Ox3PPPefQ/SuKwsaNG2nfvj0TJkzg5Zdf5vfffyc6OlqCVhQxd+5cNBoNarWa559/XoJWiApAerYOZDabqVu3Ljk5OeTm5qJWl/+3jNVqZf369cTExKBSqZg6dSoDBgxwyL5F1dWhQwcOHjxIenq6hK0QFYBc4HMgK2qmLlzG4ZOJ/PBHKj7uWlo38MFTX/ZqtlgsrF27lpkzZ2IwGJg5cyZ9+/ZFpVI5oeSiqrBYFeKSM/jblHe5L+43jlwqJFxXSE0PGTAnhCtJz9YBzmfks3zvGb7Yf4Yba1Ol1qo4MQAACshJREFUArNFYWCbeoyKvJcmAcVnbDKbzSxatIhnn30WnU6HxWJh9erVvPHGG9SoUYNp06bRs2dPCVlxS+k5Baz8+Syf7UmiwGxBhQpQUKlUmMxWeoQF8veHGtGqvsx/LYQrSNiWg6IovL8tnvd/ikdRwGSxlriem1qFm0bFgNb1mPVoS9w0108Bv/rqq7z99tt8+OGHuLu7M2vWLPz8/Jg2bRrdunWTkBW3tfrAWaZu+AOVCoyFJbdBtQr0bhoebFyb/zx5PwatXOcX4m6SsC2HaRt+56tfUsgvtNi1vrtWTUSj2iwe2R6NWsWmTZsYPHgw+fn5aDQaOnbsyPTp03n44YclZIVdPtqRwLtbT5JfSsjeTO+mpmkdL9aM7SiBK8RdVC1G2UycOJF3333Xofv8fM/pMgUtQH6hlf2Jl5m+8Q/i4+MZNGgQ+fn5AGi1Wp5++mm6du16R0HboUMH/vjjjzJvJ+4OZ7TBH37/k3fKELQABWYr8ak5/HPFrw4tC8CgQYPYvHmzw/crRFVQ5cP20qVLLFu2jDFjxtje++qrrwgNDcXb25sWLVqwfv16u/c3fPhw6taty+iuYcQvGkX2b1vs3jZj95ccn92XWUPbE9K8OUaj0bbMaDSycuXKW26fmJhI37598fb2xs/Pj/Hjx9uWvfLKK0ydOtXusoi7x1ltsG+7JiQsGl2mNgiQmXKSlVOexsPTizp16rBgwQK7tps9ezZeXl62f+7u7qjVatv0pBMmTGDy5MllKosQ1UWVP4381ltvcfLkST755BPg6rSK9957Lxs2bKBnz55s2rSJIUOGkJSUREBAwG3398cff3A0x53p358k488kLqycSMDg6egDm9x224zdX2K+8idBj45nTOdGvNw9BLh67ffa11DaLT0mk4nQ0FD++c9/MmbMGDQaDSdPniQ8PBy4GtZBQUEcPXqUwMBAe6pG3CXOaINpKl+eXXWYzD/L1gYteZmcX/wPaj/yd54YOoRZA0JJSUkhNDS0zH/X9OnT2blzJ9u2bbO917RpU1auXEm7du3KvD8hqrIq37PdvHkzXbp0sb2+NptOr169UKlU9OnTB09PTxISEuzaX1hYGJ/GppBrsgAqVKgwXynbY/VMZitLY5Mw/29AlUqlQq1W3/Le2SVLlhAUFMRLL72Ep6cnBoPBFrQABoOBtm3bsmVL2Xo5wvmc0QaX7E8h/w7aYNaB9bjfez8eLaLYcjwdq5vhjoJWURSWLVvGyJEji7wfFRXF999/X+b9CVHVVfmwPXLkCCEhIbbX7dq1IzQ0lI0bN2KxWFi/fj16vb5IcN2Kxaqwd/k8zv57EOc/HYvGqxbuje3/FZ8X/zPJC57gxKJnmDP/Pbu327dvH8HBwfTq1Qs/Pz+ioqI4cuRIkXVCQ0P57bff7N6nuDsc3QYBNv5nJmfuoA0WnD+B2uDFheWvkPBONH369OXs2bNl/pt27drFxYsXGTRoUJH3pQ0KUbIqP6lFRkYG3t7ettcajYYRI0YwbNgwjEYjOp2Or7/+Gk9PT7v2l20sJLDXvyj4yxgKzh/HePYIKo19EwZ4NH8Ir9Y90Xj64JaewHtvzaVJ/TpER0ffdtuUlBR++uknNm7cyCOPPMKCBQsYMGAAx48fR6fTAeDt7V2hHl4vrnJ0GwTw7fYsXg//vcxt0JKdRk5qAnUen4lv/SbUTtpAdHQ0e/bsKdPftHTpUgYPHoyXV9F7x729vcnIyCjTvoSoDqp8z9bX15fs7Gzb661btzJ+/Hi2b9+OyWRix44djB49mri4OLv256ZRY1UUVGoNhvphWLLTyD60ya5tdX734OZdG5Vag3v9FgwfPZY1a9bYta27uzuRkZH06tULnU7HK6+8Qnp6OseOHbOtk52dLVPzVUCOboMAGrXqjtqgyk2HR9MH0ddthkar46//epnY2FgyMzPt/uy8vDy+/vrrYqeQQdqgEKWp8mEbHh7OyZMnba/j4uLo3Lkz7dq1Q61W0759eyIiIti6datd+/PUaShyZ47Vijmj7L1Jk9mKl94Ne8enhYeH3/aWoGPHjtG6desyl0U4l6PbIEBN9xt6smVog7qAe0F1bTMFPy+D3Z95zbp166hVqxZRUVHFlkkbFKJkVT5se/fuzY4dO2yv27dvz65du2y9iEOHDrFr1y7b9bLt27eXGmoXL15k9erVdG1SA5ViIT/xILnHdmBoeJ9tnTPz+mI8e7jE7fNO7cNizEFRFAKMZ/ns4w8YMGCAbXlwcDBLliwpcdvhw4ezb98+tm7disVi4d1338XPz882uMVoNHLw4EG6detmf+WIu8LRbXDVqlX0a+GLVq2UuQ16tvoL+Sf3YkpNxN0N1i5eQGRkJDVrXp3GMSoq6rbPvl26dCkjRowosYw7duygV69et9xeiOqoyl+zHTFiBPfddx/5+fm4u7vTpUsXpk+fzuDBg0lNTcXf359JkybRvXt3AJKTk+nYsWOJ+1KpVHzwwQcciosj11iIpkYAvl3/jkfTCADMWZdQ6dzR+geXuH3usZ2kb1qAYinEUq8eEyZMsJ2KM5lMpKen88ADD5S4bUhICF988QVjx47l4sWL3H///WzcuNF2vfbbb78lKiqKoKCg8lSXcAJntMG4uN/IMZrK3AbdG7bGp8tILq2dQaZSSN2ozqxYscK2PDk5mU6dOpX6t5w7d45t27bxn//8p9iyAwcO4OXlRYcOHeytGiGqjSp/ny3ApEmTCAgI4IUXXrjtuqNHj2bIkCH06NHjlut1e2cH8ak53Fh5OX/8RGHaGXy7/PWW29YwuPHL5G7o3K6fWNi9ezeLFi267cQWpYmIiGDx4sW0bNnyjrYXzuWMNjhi8X72JKRjsV5vhfa2QYObmv2T/lLkaUApKSkMHTqU2NjY25axJIMGDWLUqFH07t37jrYXoiqrFmHrDKdSsxm4aM//7re1n0Gr5rOR7enYxM9JJRPVxYVMI70W7ORKXmGZtjNo1cx7LJwBbeo5qWRCiJtV+Wu2ztK0jjfLRnXAU6/B3pmMDVo184e2lqAVDhFY08BXYx7E10OLxs5GaNCqea1XcwlaIe4y6dmWU/zFHCZ+c5jDKZlYFYVCS9Hq1KhVaDUqgmt7MuvRlrRtWMtFJRVV1YVMI699c5jYhHTg6kj3G6lU4K7V4OelZ0b/MB5ufvspIYUQjiVh6yBn0nNZEpvEd4f/JNtYiKKAp96NqGb+jH6oES2Cari6iKKKS80ysnzvGdb8mkJWfiFmi4KHTkNEo1o807kR99/jK49uFMJFJGyFEEIIJ5NrtkIIIYSTSdgKIYQQTiZhK4QQQjiZhK0QQgjhZBK2QgghhJNJ2AohhBBOJmErhBBCOJmErRBCCOFkErZCCCGEk0nYCiGEEE4mYSuEEEI4mYStEEII4WQStkIIIYSTSdgKIYQQTiZhK4QQQjiZhK0QQgjhZBK2QgghhJNJ2AohhBBOJmErhBBCOJmErRBCCOFkErZCCCGEk0nYCiGEEE4mYSuEEEI4mYStEEII4WQStkIIIYSTSdgKIYQQTiZhK4QQQjiZhK0QQgjhZBK2QgghhJNJ2AohhBBOJmErhBBCOJmErRBCCOFkErZCCCGEk0nYCiGEEE4mYSuEEEI4mYStEEII4WQStkIIIYSTSdgKIYQQTiZhK4QQQjjZ/wPMdev8HN57PgAAAABJRU5ErkJggg==\n", + "image/png": 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\n", 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