diff --git a/cereeberus/cereeberus/__init__.py b/cereeberus/cereeberus/__init__.py index e49076b..a21c3bb 100644 --- a/cereeberus/cereeberus/__init__.py +++ b/cereeberus/cereeberus/__init__.py @@ -2,6 +2,7 @@ "ReebGraph", "LowerStar", "computeReeb", + "computeMapper", "MergeTree", "MapperGraph", "EmbeddedGraph", @@ -20,6 +21,8 @@ from .distance.interleave import Interleave, Assignment from .reeb.lowerstar import LowerStar from .compute.computereeb import computeReeb +from .compute.computemapper import computeMapper +from .compute.computemapper import cover # Examples from .data import ( diff --git a/cereeberus/cereeberus/compute/__init__.py b/cereeberus/cereeberus/compute/__init__.py index d0f25d8..9e3ab9f 100644 --- a/cereeberus/cereeberus/compute/__init__.py +++ b/cereeberus/cereeberus/compute/__init__.py @@ -1,4 +1,3 @@ -__all__ = ["draw", "unionfind", "computeReeb"] -from .draw import * +__all__ = ["unionfind", "computeReeb"] from .unionfind import * from .computereeb import * diff --git a/cereeberus/cereeberus/compute/computemapper.py b/cereeberus/cereeberus/compute/computemapper.py new file mode 100644 index 0000000..d2d23a1 --- /dev/null +++ b/cereeberus/cereeberus/compute/computemapper.py @@ -0,0 +1,158 @@ +from ..reeb.mapper import MapperGraph + + +# Interprets the lensfunction as a python function, does it, then returns the new location of each point for every point +def __runlensfunction(lensfunction, pointcloud): + if callable(lensfunction): + lensfunctionoutput = [] + for val in range(len(pointcloud)): + lensfunctionoutput.append( + [lensfunction(pointcloud[val]), tuple(pointcloud[val])] + ) + else: + print("Invalid lens function") + # print("Lens Function Output: ") + # print(lensfunctionoutput) + return lensfunctionoutput + + +# Creates a list of covers, together with any points inside the cover, ie, [[cover, point1, point2], [cover, point3]] +# Also removes any covers that have no points inside of them +# this would probably be better done as a struct, containing a covering set, the covering set's position in the cover, and an array of points +def __createcoveringsets(points, cover): + # adds location information to cover + for val0 in range(len(cover)): + cover[val0] = (cover[val0][0], cover[val0][1], val0) + # creates the list + coveringsets = [] + for val1 in range(len(cover)): + coveringsets.append([cover[val1]]) + for val2 in range(len(points)): + if points[val2][0] >= cover[val1][0] and points[val2][0] <= cover[val1][1]: + coveringsets[val1].append(points[val2]) + # removes unused covers + position = 0 + while position < len(coveringsets): + if len(coveringsets[position]) == 1: + coveringsets.pop(position) + else: + position += 1 + # print("Covering Sets Output: ") + # print(coveringsets) + return coveringsets + + +# cluster the points using a number of existing clustering algorithms +def __cluster(coveringsets, clusteralgorithm): + # trivial clustering + if clusteralgorithm == "trivial": + finished_cluster = list() + cluster = list() + for val1 in range(len(coveringsets)): + cluster.append(coveringsets[val1][0][2]) + for val2 in range(1, len(coveringsets[val1])): + cluster.append( + (coveringsets[val1][val2][1][0], coveringsets[val1][val2][1][1]) + ) + finished_cluster.append( + cluster[:] + ) # Works like this to avoid passing by reference in python lists + cluster.clear() + # print("Clustering Output: ") + # print(finished_cluster) + return finished_cluster + # execute sklearn clusterings + elif callable(clusteralgorithm): + finished_cluster = list() + coverpointcloud = list() + cluster = list() + for val1 in range(len(coveringsets)): + # alters data to fit with sklearn clustering algorithms + for val2 in range(1, len(coveringsets[val1])): + coverpointcloud.append( + (coveringsets[val1][val2][1][0], coveringsets[val1][val2][1][1]) + ) + # does clustering algorithm + cluster_out = clusteralgorithm(coverpointcloud) + # puts points into list + for val2 in range(max(cluster_out.labels_) + 1): + cluster.append( + [coveringsets[val1][0][2]] + ) # The position of the covering set in the cover (preserved for distance purposes) + for val3 in range(len(cluster_out.labels_)): + if cluster_out.labels_[val3] == val2: + cluster[val2].append(coverpointcloud[val3]) + finished_cluster.append(cluster[val2]) + coverpointcloud.clear() + cluster.clear() + # print("Clustering Output: ") + # print(finished_cluster) + return finished_cluster + else: + print("input not valid") + return list() + + +# Adds edges between the cluster that share points +def __addedges(clusterpoints): + outputgraph = MapperGraph() + val2 = 0 + for val1 in range(len(clusterpoints)): + outputgraph.add_node(val1, clusterpoints[val1][0]) + while val2 < val1: + if clusterpoints[val1][0] != clusterpoints[val2][0]: + if len(set(clusterpoints[val1]) & set(clusterpoints[val2])) > 0: + outputgraph.add_edge(val1, val2) + val2 += 1 + val2 = 0 + # print("Final Output: ") + # print(outputgraph) + return outputgraph + + +# Does the Mapper Algorithm in order +def computeMapper(pointcloud, lensfunction, cover, clusteralgorithm): + """ + Computes the Mapper Alogirthm + + Parameters: + A pointcloud (as a list) + A lens function (as a callable) + A cover (as a list of intervals) + A clustering algorithm (as a callable) + + Returns: + A MapperGraph object as given by the Mapper Algorithm run on the parameters + """ + lensfunctionoutput = __runlensfunction( + lensfunction, pointcloud + ) # move to compute folder, change name to computemapper + coveringsets = __createcoveringsets(lensfunctionoutput, cover) + clusterpoints = __cluster(coveringsets, clusteralgorithm) + outputgraph = __addedges(clusterpoints) + return outputgraph + + +# function to create covers +# cover(min, max, #covers, %overlap) +def cover(min=-1, max=1, numcovers=10, percentoverlap=0.5): + """ + Creates a cover to be used for inputs in the computeMapper function + + Parameters: + min: the minimum for the range of the covering sets + max: the maximum for the range of the covering sets + numcovers: number of covers to create + percentoverlap: percentage (from 0 to 1) of overlap between covers + + Returns: + An array of intervals + """ + output = [] + val = 0 + coversize = (max - min) / numcovers * (1 + (percentoverlap)) + while val < numcovers: + center = (min * (numcovers - (val + 0.5)) + max * (val + 0.5)) / numcovers + output.append(((-0.5 * coversize) + center, (0.5 * coversize) + center)) + val += 1 + return output diff --git a/cereeberus/cereeberus/draw/__init__.py b/cereeberus/cereeberus/draw/__init__.py new file mode 100644 index 0000000..308ed4a --- /dev/null +++ b/cereeberus/cereeberus/draw/__init__.py @@ -0,0 +1,2 @@ +__all__ = ["draw"] +from .draw import * diff --git a/cereeberus/cereeberus/compute/draw.py b/cereeberus/cereeberus/draw/draw.py similarity index 100% rename from cereeberus/cereeberus/compute/draw.py rename to cereeberus/cereeberus/draw/draw.py diff --git a/cereeberus/cereeberus/reeb/reebgraph.py b/cereeberus/cereeberus/reeb/reebgraph.py index 94e0589..098deed 100644 --- a/cereeberus/cereeberus/reeb/reebgraph.py +++ b/cereeberus/cereeberus/reeb/reebgraph.py @@ -1,5 +1,5 @@ import networkx as nx -from ..compute import draw +from ..draw import draw import matplotlib.pyplot as plt import numpy as np diff --git a/doc_source/modules/compute/compute_mapper.rst b/doc_source/modules/compute/compute_mapper.rst new file mode 100644 index 0000000..8bac375 --- /dev/null +++ b/doc_source/modules/compute/compute_mapper.rst @@ -0,0 +1,7 @@ +Compute Mapper Graph of a Point Cloud +********************************************** + +The ``computeMapper`` module provides functionality to compute the Maper graph of a point cloud. + +.. autofunction:: cereeberus.compute.computemapper.computeMapper +.. autofunction:: cereeberus.compute.computemapper.cover \ No newline at end of file diff --git a/doc_source/modules/compute/index.md b/doc_source/modules/compute/index.md index b29eead..d95eacc 100644 --- a/doc_source/modules/compute/index.md +++ b/doc_source/modules/compute/index.md @@ -7,6 +7,6 @@ The ``compute`` module has helper code used throughout the package. :maxdepth: 2 Compute Reeb Graph from Lower Star Filtration - Draw + Compute Mapper Graph from a Point Cloud Union Find ``` diff --git a/doc_source/modules/compute/compute_draw.rst b/doc_source/modules/draw/compute_draw.rst similarity index 77% rename from doc_source/modules/compute/compute_draw.rst rename to doc_source/modules/draw/compute_draw.rst index 9607a1b..12cbd45 100644 --- a/doc_source/modules/compute/compute_draw.rst +++ b/doc_source/modules/draw/compute_draw.rst @@ -3,5 +3,5 @@ Draw The `draw` functions are helper functions to plot reeb graphs and merge trees. -.. automodule:: cereeberus.compute.draw +.. automodule:: cereeberus.draw.draw :members: \ No newline at end of file diff --git a/doc_source/modules/draw/index.md b/doc_source/modules/draw/index.md new file mode 100644 index 0000000..d943cfd --- /dev/null +++ b/doc_source/modules/draw/index.md @@ -0,0 +1,10 @@ +# Draw Module + +The ``draw`` module has helper code used throughout the package. + +```{eval-rst} +.. toctree:: + :maxdepth: 2 + + Draw +``` diff --git a/doc_source/modules/index.md b/doc_source/modules/index.md index fb87c53..1c3f00a 100644 --- a/doc_source/modules/index.md +++ b/doc_source/modules/index.md @@ -11,4 +11,5 @@ See below for the full documentation of the modules available in `ceREEBerus`. Distances Example data and graphs Compute + Draw ``` diff --git a/doc_source/notebooks/compute_mapper.ipynb b/doc_source/notebooks/compute_mapper.ipynb new file mode 100644 index 0000000..f0c8e69 --- /dev/null +++ b/doc_source/notebooks/compute_mapper.ipynb @@ -0,0 +1,497 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Mapper Graph using computeMapper\n", + "\n", + "We may construct a mapper graph from a point cloud" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "number_of_points = 500\n", + "\n", + "data, labels = make_circles(n_samples=number_of_points, factor=0.4, noise=0.05, random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We may compute the Mapper graph of this shape using computeMapper" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from cereeberus import MapperGraph, computeMapper, cover\n", + "import numpy as np\n", + "\n", + "\n", + "import sklearn\n", + "\n", + "graph = MapperGraph()\n", + "graph = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The computeMapper function takes 4 inputs:\n", + "- A point cloud\n", + "- A lens function\n", + "- A cover\n", + "- A clustering algorithm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covers may be created using the cover method" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)]\n" + ] + } + ], + "source": [ + "print(cover(min=-1, max=1, numcovers=4, percentoverlap=.5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Covering sets may go beyond the specified range if they have a nonzero percentage overlap with other covering sets." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both covers and point clouds may be input manually" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph2 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], \"trivial\")\n", + "graph2.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper allows for any sklearn clustering algorithm to be used as input. It will also work with the trvial clustering." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_moons\n", + "\n", + "number_of_points = 200\n", + "\n", + "data, labels = make_moons(n_samples=number_of_points, noise=0.05, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append(data[val])\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(np.float64(-1.2259004307319845),\n", + " np.float64(2.1731624220868624),\n", + " np.float64(-0.6639113257043391),\n", + " np.float64(1.162391196195627))" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 1], c=labels)\n", + "plt.axis('scaled')" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=0.3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.KMeans(n_clusters=4).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), sklearn.cluster.HDBSCAN(min_cluster_size=8).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-1, max=1, numcovers=7, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper orders the coveringsets it takes as input, preserving the location of each for better computing the distances between graphs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice where the labels for the graph start" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-10, max=10, numcovers=40, percentoverlap=.4), \"trivial\") \n", + "graph.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "computeMapper accepts any function recognizable by numpy as input" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_swiss_roll\n", + "number_of_points = 300\n", + "\n", + "data, labels = make_swiss_roll(n_samples=number_of_points, noise=0.1, random_state=0)\n", + "\n", + "val = 0\n", + "pointcloud = []\n", + "while val < number_of_points:\n", + " pointcloud.append((data[val][0],data[val][2]))\n", + " val += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BFgkeNmwYtmzZYvdxarWaLyhsuREEEfjIpamNGb6O0EEh6+Qhi/wXrwk/E30G6+Fbwu6bjtli7ty5/AJh2tLS0txuK0EQ3kcijkBU6DS7q3kxn78BSpyp+hi7z/THgfyLUVD1OfQ0AvD/qJ7Zs2ejsrLSvOXm5nrbJIIgPERy9NOQSRJaiL8ACbQQQQcNGrQnoDdUoEGbidyKV3C44DJo9cVes9kX8ZrwJyUl8b+FhYVW+9l90zFbKBQKREREWG0EQQQHMkkiuiT9gZiw6yASKZoO8Kgf08XAFOdpnApu0J1GNoV5+obwd+jQgQv8mjVrzPuYv55F9wwfPtxbZhEE4eOwHn9azGvonXoA3VM2okvSKmgN5Q4KuulR2bCWXwAID0T11NTUIDMz02pCd+/evYiJiUF6ejoeeeQRvPzyy+jSpQu/EDz77LM85v+KK65wp1kEQQQAYrESCnEGyniNHtsr9jYhoFa9ByHSdA9ZF8TCv3PnTowbN858f9asWfzvLbfcggULFuDJJ5/ksf7/+c9/UFFRgVGjRmHFihUICQlxp1kEQQQQIpcdF343pek2RAILqPdjmHuIRfewiV7y9xNE8KHVl2Hf2aEQoHPQSox+qVsh5xPDgYurekiXQIIg/BqZJAaxqqsdyJkYsaHTAl70WwMJP0EQfk969HMIVwxrJmvGv2HyQciIedlrtgWdj58gCMITSMRKdEv4BhX1a1Bc+yO0unzIJEmIC7sG0coJEIlI6iyhT4MgiIBAJJIgOnQi3wjHkKuHIAgiyCDhJwiCCDJI+AmCIIIMEn6CIIggg4SfIAgiyCDhJwiCCDJI+AmCIIIMEn6CIIggg4SfIAgiyKDMXYIgCDsIggGV6p1o0J2FTByFaOVIiEVy+Dsk/IRfwqqJnzhbgpW7j6G4ogaqEAUuGtAFgzqnQiQSeds8IgAoq9+EE6XPokF3xrxPKo5Eh6hHkRJxA/wZEn7C59h7Mg+LNx9ATlEZIkNDMHlQd0zs3wVymZQL/uJNBzDvj80or6k3P0YMEb5ftxcDO6Xif/dcjvBQ42I+pVW1qKxtQFyEChEqWuCHcI2K+m04UHhHi5W9dIZKnCh7AQbo0C7iZvgrtBAL4TUMBgFbj5/GxsPZ0Or16N4uAQey87F06yGIRSIYBMH8t2NiDD65fzq+WLkDP27YZ/w9mjr2FmewWAQM6ZqG+y8diXm/bcKOY7nG/WIRxvfvjAemjUR6QrR33jDhN+zKuxI1miN21/EVi5QYkbYZErEK/qiHJPyE22Cn1q6ss1h3+CQ0Wj26psZhyoBuCFXIUVBejfs/XYrM/FJIxcYYA53O4KDsrggZ8dHIzi9z8qLspAakIhHYmc0uGpbPwV57wZPXoUNSTNu9USKgqNOexI6zk5226x73FhLDLoc/6iG5egi3UFpdh4c+/xUHThdAImaOGDZMNuCtZevwyo2T8e5vG3C2tJK3ZfvtdKzM6A0CTuaXQdI4ArBJ424m/Hobbdhz1Kk1eP3HfzH/4Rnn9L7ySirx987jqKptQEpcJCYO6YawUMU5PRfhm2j0JS60EkOjL4a/QsJPtAnMj/7Tlv1Yuu0gymvrodXp+cbkV8+EvZFatRaPfPl7k0iz/1wcc7K2dkXf1MDJczHx3370NPJKK5ESG+naCwNQa3V4/MPfsOVQDr9vckG9/cNaPHH9OFxxYR+Xn4vwbeQuLdFo4BO9gqDn6wD4GyT8xHmTW1qBWz74CSXVtdy9wrEQYEt3fHORtnnsPHHlOXOLKpwKf2FZNb5dvRu/bT6E6jo1812Zj5kuQOyC8PKi1bzXP2Fw1zaxn/AuobL2CJf3Q7XmgF0fP/v2D5Y8gyOlryIlfDraR96FEGki/AUSfsJlmJvk8Jki7rvvlhoPpUyGz//ZgU9XbTO6ayyxMfF6vggiQNx4sbDdwPqlHaFSOnbPnMwrxZ1v/ISaejUfJdh6KeZSMjF7/p/4o88h3DhxEIb0SHfBAsKX6RQzG/sKbmo8pQwtOhV6djJCBL1QjzNVP6CwZgWGpvwApawd/AESfsIpGp0O7y/fjB8370ODVsf3sQnZuPBQFFTU2FdiZ0Js2et3wU3DQjIFvQEVdQ08IqjFa7ELQ+Mkri2xNpEYHYYe6faH8+zC9vSnf6K6Xm39Oqb8ABvuJvaYzQdysHF/Nh6YMQq3Th3q+M0QPk1kyED0TVqIE6UvoE57oumAAOgggsGi6IEAPbSGChwueRaDkr+CP0DCTziECd8jC37HxmOnuLiZ0OkNjkUfLva+XRB8k0/94/uu5BPFD3y8DPllVWY/u+l5WPLWI9NG49+9mViwaqfd57rvshH8eeyxPysfWWdLHdgs4uLf3KVksuXDxRv5ZzVz8hBIJWLz57jtYA72Z+ZBLBZjWO8M9OmUTMlmPkxUyBAMTvkDNZpDKKvfghPlbzeeqi2/Myb+ZQ1bUac9jVCZ74/4SPgJh6w7chIbjhonNN2GSfwdXARevXkyuqbG89u/P38bNhzKxo7juVxge6Ql4KL+nXn2LqNnRiKfWP7+373mGH42wcxGKQ9PH43LhvdyaM6RU4UmbXdgs+MG85Zswg9r9uC1ey5FmFKBJ97/FXnFVZCwC4Eg4LNlW9CjQyLefOhyJESHO/+MCK8gEokQJu+J7MqvILjgRKzRnPAL4ac4fsIhD375KzYczbbtOmG7HJ09rvrcG2Pv7fHElWNw09iBaC2F5dVYtes4yqvrkBQTgUmDuyHShezdxev249Vv1jh/AYNjKWAjEtbjV4jFqFfrWrin2LVDIZNiZN8OmHhBd4we0Mk8QiB8A0EQcKjkv8ivWeZS+4GJnyM2dCS8BcXxE21CbmmlfX+5swlcFyN32ESxTqvHyUJjnL7Q6DaRSyV4/ZapGN+38znZnhgdjpkTBrX6ccN7ZTj3QLnQX2LvgWUka7V6iAy2o50aNDqs2XkCa3acQOe0OHz45FWIiQhttc2Eeyir3+yy6EtEKkSFtL6D4g1I+IMU5vqoadBAKZdxgbUHm8DNKnTk73askAM6pGBPdp5DW267aDAm9+/GyzesO3gSWp2Ol2+4ZHAPqEI8XwmRJWax0Mw1u07Yzhtg+9goxYXnsgxvbdG+2VNnnSnB4+8twxfPXk++fx8ht/oHiCDhPnxnZETeBolYCX+AhD/IqKitx+frduCXbQdR3aDmETAX9+6Cu8cPQ9fkuBbtLxvUA9syjfVu7MK8E82iOZVyKV67aQrG9uyEj1Zsxqert9t86OQBXbnoMz/8iO4ZfPMFnr3lYpRV12HXsTNchLlHlG3nIsguPoQ9/cGsAhzMykefzimtfx2izanVZDoUfdNoNlzeGwbBgNL6rYgJGebzF27y8QcRZTV1uOGjH3CmrNLKU8EKm7HT98LuHTCwfQouH9QT8eEqc4LSiGc/gkbnvMcjEYn5SIJdQD68YxqSo5u+j1V7j+Orf3biUG4hv58WG4mbxgzENSP7Ooyw8SY8EufIafy55TA2H8hGVZ2aXwBak23MYdcLvfMev4kpI7vjubsm++znEkxsO3sNqngiV0uscxUlEIG5KfVQyTpiQOKHUMnaw9NQkTaiBY9/9yeW7z/uMIKGTUiyzsqsKaNx64VG//jzP63Gku0H7T4ve0yH+GiM79MZw7ukY3CndnZ7PLUNGn5xCFcqfL5XZIlGq8OiFTvx0z97+UiA0TUtDonREdiw76Tdx/G3qLMxeW2ZHtByFxRSCSaP6IFbLhuKdolRbflWiFZwqnIBjpe90eLHYh3X0Pw8lkAuicbI1N8gl3j2uyPhJ6zIK6/Cxa9/YbecsS1ev24yLh3QAycLS3HFW4sczmd+++B16JuRjECHXbTKq+ogk0oQGWb053722xZ88uuWFm2Z+yo1LhJn8iqspcGG6FsdbpwPYG64EIUM8//vGnTNcKV+DNHWaPVV2Hz2Umj0rCqs3obw2+u8iNAl+lF0jLoTvqiHNJYMEr5cv7NVos+azVu9lbs2OibG4sWrL+a9VyZGJky3n7x8TFCIPoO5X+Kiwsyiz7jr8uF47raJSI1vqv3DwjRnjOmLDx6Z7kAaHMOiqerVWjz1v9/w1bKt+OTnTfhn23HoXHC7EW2DTBKBwcmLECpN4/dFfFrUGHnmGAH5Nb/DV6HJ3SDhn0NZrWrPTuzTpRU4WVSGTomxuHJob3RNicd3G/ZgE8vihYChndJw4+gB6N+eJiIvH9Ubl43shVOF5XztgXbxkQhtjEjq0zkZh7IKrCKEHIm+uXyFIMCgE5BfWMlF35QzFhkWglcfugyDevl+olAgoJK1x4h2f/Ls3dL6zcip+sqlS7fOUA1fhYQ/SGClks+lDGadRmu+3atdIl653vkCFcEKm7Nob2OBlzunXYCH317aymdrWY3OdN2orGnAQ6/9ggWvzESXdGM2M+FeRCIxT8wKV/RANhd+kUtVPn0VEv4AJLOwFN9v3YetJ0/zSIMRndMRFiJHGRP/VsBKHKTH0sTi+TK8bwc8e8dEvLbwb17jqDENwKl0iJy4gd5asAafPHddG1tLOEIqDodEFAq9YJzgd0RaxLXwVUj4A4xluw/hmcWruVvAlHF7qrQcBr3gvP6MBcx/P6VfN77YOXH+XHZhb4we2AnLNx3Bp4s3obahaSRlExcuDvuOncVT7yzD+KHdMG6YcTF6wr2IRTKkhs/A6apv7dbqZ8SGjEBi6AT4KhTVE0Acyy/GjA+/tZNtagwptKpoKdgX/cSIMHz3wPXmeH6i7fjl7714c+E/TTtsqbveccyI1UMFICYyFNMv6oeu7RMwvH8HSB1kYxPnh1pfgq1nr0GDvsim+LMErkFJn/KLhKehWj0BzMniMny3bR+2Zp3mvfgRnTJw/bB++HbLXvt17UWASAxEK5UorWkcpjaqSkK4CsWNq2exEg7TB/fC3RcNQ2wY1YxxB5eP6Y2Vm4/yEs3muEBLhXdSqdSynalpWUUdPl+yhe+IilDiqTsuxtihXdz8ToIThSQOw1J+wLGy11FQu9Is/jJxLDpH3Ye0iOt8PkeFevx+xtJdB/HM0tX812765kxhlZGKEKd+/M4JsXjt6kk4eKaQ+/Av6JKOlKgIPolbq9YgUhnisHYP0TY0qLX4ZPFm3vtnUUCWws9yBJJiwpCb3yz+35XKpxa/5v/+ZyIuG0drAbsTtb4UddpTkIhCEC7v5vX1dymBKwD5bP12vLtqk/0G9l2OZjolxOD3R25pU7uIc6dBo0XO2TIcPVXES2fER4dhSM90aHUGTLx7Hl9XoAX2EsCa/ZLZsQ+fuRoDKewzaKiiBK7Am7R1KPomd46Dw2xkcEEnEgFfIkQuQ/cOibhibB9cPqYPjwBi/nlliAxzH76spcvASdZv86ZPvLEM9c4mkomgg4TfT9a8fW35OpfaOlwXRQBuuKBfm9lFuJdRAzvhyzk3YMzgzi3cOzZF38bOugYtVm864lY7Cf+DhN8PWH88B1X1aucNRcb6+bZKK7BonrlXT0KH+JYJRoTv0qNjEl5/dBo2LnoUd80Y3lhJFS6vhsYW9Np/zPF6CETwQVE9PsiJohIs23MYxTW1iA9TQS5xbcKIicLEPl1x1aDePMJnW1auMeqncwZuGN4PXRJb1tsn/AO2JOPN04bhwIl8bNufY52TYWuYZxGxW1FdZywn7eORJoGGIBig1pfzrF+5OMqnPn+a3PWxyo9zfv8HP+06wHvpxm9GgN4AiF34lthp9dtDN6NTQqwHrCW8ASvQ9se6Q/hl1R5kny3liXktaL7qlwBceXE/PHbHRbxiKOFeBEGPrIpvcaJyATSGssZQz0h0ipyJrlF3uPUCQFE9fsjbqzfisw07bB9sTMBydMrMnTEJ0wb0dJd5hA/y4bfr8O3vO1vmARhargHw6O3jcPUU/1gT1p97+TsKH0N+3b82j0fIu2Fs6vd8FOAOKKrHzwqoPf/73/hs046mmTvTD9niviC2P3n7wrSLSPSDkAduHIM7pl9gDOVlkZ8sJYBtNk6UL3/ewlcVI9zH2dqVdkWfUaU5hv0lc+FtSPi9TFltHa75/Hv8vNvGCleilrcFibX4p0ZFYP7NV+CaIX3dbivhm9x5zUgM7pVmHBE2i/yx7ENUVjdgz+HT3jQ14Mmq+MZpm1PVS6E3uBCs4UZoctfLvLJ8Lc6WVxpzr5x1xhp/wdcN64uBaSlIjgzHwIxU8tsSKCxuqv1u62wwVoAQsGjJdui0BvTpnopQpXG9AKLtqNY6X/dCgA7l6v2IUw6BtyDh9xL5ldX477KV2JKd26rHsbDMep0Ol/Xv4TbbCP/DdO13uMALRNi5/xR27TsFhVyCCaN74P6bxyDCYjUx4vwQgRVma3DaTi9o4E3I1eMFCqtqcN3nP2BbzplWP5YFBLga3kkED107uLgmb+OoUq3R4881BzH1lnm448mvcfgExfq3BYmho1xqFyFvTMrzEiT8HqK0tg5v/r0BQ9/4CBe+9xkKamqg54NvC1zw2LAa+2O7dnCjpYQ/cvkE4xyPQ2+hQbB5ih3LKsR/nv4OL7//F18ohjh3ekTf7/SHnKgcDaU0Ed6EhN8D5FVW4cpPv8VXW3ahkmXgWv46WbROK56rfWwUxpDwE80Y1DsdQ/qkO6jmaTzLHJ1rK9YdxryFa91hXtCgkrfDwPiXrcSfffSGxk0iCkPPmEfgbUj4PcCzv/+Nkppa84pYrkTvWNH4sOhQJT6fOR0SMX1thDUsKejt/5uBgb3TWh50cZF3dp4tXr4H5ZW1brExWEgLvwQXtVuGOMUwCIK4McpWBB3EqDfUYeWZa7C14CnoDd7z83tdQV544QV+0lpu3bt3R6CQW16BjSdPcdFvHmJnGWrnrNc/LKMd/p11J9pFR3rAasJfyzp88Pw1eP2paejZOQkSVqjHhJPkP44IPBN44w7nkSmEY8LkGUhUXcjduQaI0eRkM8ZX5dauxsrcq6EztG4d7ICK6unVqxf+/vtv832p1CfMahP2nCmwqptiP9TOekdKeDhkEjE6J8Th+iF9MbJzhk/V+iB8l1GDO/ONMf+b9fju1x22l+O0hQBU1TiPSiEcw+L0D5d9DIOV4MPqdq3uDA6UfoAB8U/C0/iEwjKhT0pKQiDC/PourZ3aqP7s74TunfH+NZeS0BPnzTWXDsJf/x5CRWUt9zHbxSLxq6qahP98KarfDq1Q69SpcrJ6KfrEPgCpODS4XD2MEydOICUlBR07dsSNN96I06ftZxeq1Wpej8Jy81X2ny3A4QK2ILNzWIeM6fyNQ/rj7RlTSfSJNiEmSoX5r16PXl1T7DdqVuXz8LE8fLd0O7bvyaYSD+eI1lDd+HE6/vwMggaVmkx4Gq8L/7Bhw7BgwQKsWLECH3/8MbKzszF69GhUVzdlIloyd+5cXoTItKWl2ZjM8hFWHjnh8kQs0/kpvbrimanjaM1bok1JSYzCx6/egNdnX2kt8oKtSp4C9h46g0++Xo/HXvwF197zKQ4fz/ee8X5KmKydy21PVPyAas3p4BL+KVOm4Oqrr0bfvn0xadIk/PXXX6ioqMBPP/1ks/3s2bN55TnTlpvbusxXT1Kr0Rh/TI0hm/au/aZjQzv47kWM8H9GDOqI9ORoY0G3ZhcA8/iysdC/qadfVFKNh5/9AafPGssLE64RregDlTTFpQUyjRO9V+FMTdM8Z8ALf3OioqLQtWtXZGbaHv4oFApebtRy81U6xEZDL1gnxDQXf8Hi9za5Z1eP2UYEH8x9eOOVQ5siyhoFX9Q82NxiNMAuAFqtHt8u2eZt8/3usx6a8IoT2TeFexh47M/Wwv+iRpsbnMJfU1ODrKwsJCcnw9+Z1rcnZOJGt43FGWCr53/HiMGIUoZ4zDYiOJl6UW/ccKWxOJh5eU4m+s3CPc23BWO2+Or1R8jf30pilf0xMukDSESm33XzJdOaL6IAZFb+jKAQ/scffxzr1q1DTk4ONm/ejCuvvBISiQTXX389/JmskjLsPZOH24YP4vdNLh9zeWXTVy0CrhrQC49f5FqND4I4357ovTePwedv3YRLJvRBr65JvPBf8+UfrBDAe/0arc7zBvs5yaoRmNZ+DfrFzmos4GYvqJuvtYfCui3BEc555swZLvKlpaWIj4/HqFGjsHXrVn7bHzlSUIQXlv+DvWeaJsSiQkMQrlAgt7zSuEPEUrtlGNY+DU9dfCHax0Z7z2AiKOnWKQlP3JuEP1bvx+GjtidvLZMLI8OVUMi9Lhd+iUQcgq5RN+JE5Xeo0xU4bNugL/eITV7/Jn/44QcECscKS3D9gp+g1ln3jCrqG/j26PgRuKRXNySEh0ERQElqhP+ybvNxp23YBYCNDijE+PxQSduhVltgzNmxAfO4aQ210AtaSERsdBDArp5A4s0166HR6exmSX60YRuvt0OiT/gKlVWulQxIT6FR6fnABL1cbT9e3yQZTPQ9McFLwt8GsB7+gm27sf7kKehYqWU74ZsanR7LD5/wkpUE0ZKEuHCX2lW4eIEgbHO47EtoeFKXyDiXbiEOptumal5iuD+Ph7qe50lZXT1u+fYXHCsqsS68wy6pjV+waWTHkrkKqmwnphGEN5g0vhfWb3XeGWE+/rLyWuScLoFMJkH3Lsn8L+Ec1ovPqlpintg1/d8k+EbRZ/+UkgSoWpH8da6Q8J8nT/22EpnFpcY79uoxmYZxBgNiVJ6tyUEQjhg1tDOio0JRXlFntw1LPt+yIwtvz1tlDumMCA/B9TOG4rorh9Kaz05o0JVCa6gx32cir+c9Q+twTnYx6Bp1A8Qi919QydVzHpwqq8C6rGzo7VU+tAjdNPX4p/To4jH7CMIZbMJ29kNT7DcQAJVCgc3bs6zi+Fkht08WrMcHn63xjKF+jESsMN9mn2BTxU5LmOyLoRU8UyCPhP88+HTLDueNLL7ju0cOoR4/4XNcMKgj5jx5Oe/FM0xRJ1KpGH17pKKuXmM3eWvJH3tw8lSxJ831O0Ik0YhR9OJya7tMcxMHyz5Hva7RbexGyNVzjqw+lomf9x50qa1cKsb9oy7APaOGut0ugjgXxo7shpFDO2PTjkzkF1YiIlyJ0cM646Z7vnCYsSuRiPDX6gN44M7xHrXX3+gVcyfW5z9qL0XOiuzq5egZPdOt9pDwnwOCIOCtfza61FYiEmHlvbchNcp3awoRBINN1o4d0c18X6fTtwz3NLk1G4cF7KJQWOS7pdF9hRTVKPSNuQ97y+Y7aSlGna7Q7faQq+ccYBE82WXOM+zYT2NGv14k+oRfwpZuDAmRNQm+nlVt407qxtsCnyOIjFB621S/oEvU1S5U6zRAIYlyuy0k/OcAy8J1heSIcMy+eIzb7SEId8BEvU+P1MbKnTYasN1aAy4cQVVlXUEmDkOMomk9cVNB1MZraON9A9qHT4a7IeE/B1ztwc8aOwIqudzt9hCEO/jym43YsTPbtuhbsHvPKU+Z5NfU6QpRrj7eVAG7MabfMtpHKo7kk8HuhoTfRSrrG/DRpm0Y99EXmPrZIkhdWFmrUq32iG0E0dYcOZ6Phd9vdqntr3/t5dU7CcdkVi7jEm9K2DJiXh2B39MYqrCpYA7cDQm/CxTV1ODKBd/hfxu24ExlFRp0OmgNTrpBABbvO+QR+wiirfn1zz2NiVnN6gvYgIV7FpdQRrozihsOcFeOs7V4c2vXocrNSzGS8LvAf/9ajbOVldbF15zN0YiA/KqmbD2C8CeOZRbCoDc4WyvcjFxO5Ruc0VSDx1lIpwhna91bl5+E3wm5FZVYl5XDfXLNR2e8GJvtJDxOLCVrEX5KiELaVGnQUTlmQeB1+mNjwjxpnl+SFDrMhR4jayGCQdC41RYSfif8sGe/9Q5L8RfbcNM1Hme/lav6sWw9gvA/LhzZla/Jy2leTtISkQjpaTFUq98FOkZcApnYeegrW383WuHeSCkSfieJWssOHTHesXdeN5ZgtoStZdouMhJX9+vtbhMJwi1Mvbgv77wYF2K3OGC6CJg2g4CJ46mD4woKSSTGpbznsOwyK8ocJk1BcqhxXWR3QcLvgGPFJSiqqXXmjmvB0PR2+G7mNQgPaSrORBD+BEvKSkyI5LfN4t+8dAOLbxCANWsO4dhx28s3EtbEK/vhsozvbYZsiiCBRKTAhcmvQiRyrzRTyQYHcNF3gbToCDww8gI++TsgNQWd4mLcbhtBuJtLJvfFFws3WPdvLFYYMu07fqIQ9zy4CDffMAK33TLaK7b6ExHydEzL+Bn7y77A8col0Avqxo/VgFhFNxicJU60AdTjd4DYRb9lt4Q4TO/bC1f1602iTwQMo21l5Ar2t0Xfbcay33d7w1S/Q2OoRlb1KugEQ2Mil3ErbjiIFbn3IL9up1tfn4TfAWlRETaXUDRh2t85NtaDVhGEZ7C5wEqz3n7zYx9/+g/q6ihx0Rnbi9+DWl8FAXqrqBDW6zdAjw0Fc2AQ3JcUR8LvgJ1n8sy3m4u/Zar1uM4dPWoXQXiCuNgwXpPfjMF5BLpGrcf6jcc9YZ7fUqcrQW7txkbRt4WAen0J8uq2us0GEn4HET1fbN/lMISZkREdiQGpyZ4yiyA8RmioAuntYl1O4uKIgKJiKtPsiGrtGYeZu6bonkqN+2og0eSuHarUahwvsV5Lt0UoswgYmJpCMcxEwBKqNJVldvEBAhAVpXKnSX6PVORaLL9M7L4EUOrx28FmvkqzRC1WqC1ERtdOInBRhYa0rscPYMzopsVciJbEKLpAJU122uNPU7kvQoqE3w6RIQq0j45y6M/UGQwY1C7Vg1YRhGcZNqSjsZ/TKP7OrgE9uifTwixOYDH6A2LvdNQCXSOvhFLqvqAREn47MPfN7UMG2j3RWahnTKgSU7p18bBlBOE5Jl7cG+GmRdidlRYTAU89NtVjtvkznSKmYEjcwzxpy1idR8p7+YzOEVMxNP5ht74++SkccF3/vtibV4AlBw/ztXP1jf4fJvqhMhk+m3EFFFL6CInAJUylwFuvXYvHn/oR1TUNdsM+WTDEk49NRUZGnMdt9Fd6Rl+LjuETcbJ6FWp0+VCII9EhfAIi5Gluf22RwL4xP6aqqgqRkZGorKxERETbr23LPp5/sk7im937cLSoBEqZFJf06IYb+vflSysSRDDAYvNXrzmMDZuOo6ioki+80tCghVgsRlJSJDpkxKFTxwSMHdMd0dE0uevrekjCTxBEq2Gy8f33W/HlV+thsKjhw1yk06cPwn33XkTRbj6sh+TjJwii1SxeshOff7HOSvRNF4TFi3di3kd/e802f0QQDKjXlUOjd60+2PlCDmobHC8uwec7dmL58RNQ63Q8umfmgAG4tl8fyCW00hAR3Oh0enzx+TqHbZYu3YXbbxuD0FC5x+zyR/QGDQ6U/4BDFUtQrzfmDYkhg0ISjvZhY9AzajqiFe3b/HWpx9+MTTmncMXX3+LXw0dQr9XyipvZZeWYs+Yf3PnLUn4hIIhgZufObKg1Nn4HFnX6BYOAn37a5g3z/Er0V5x9HDtLPzeLPsMALer1ZThSuQxLTt2CrKq2Hz2R8FvAhP7B3/6A1qA3R/AwTIXatuTm4osdu7xqI0F4m9Onm0SK07ggC9tEjRu7vXL5ftRU244EIoDDlUuRX7/XYRlIlsG7tuBlVGpYmYe2g4Tfgj+PHuOlGuxNdzP/5aLde6A3uL9eNkH4KsnJUS1FX2BFhZtgt4uLKvHoI9+gvs6968f6K4fLF7vYUsCRiqVt+tok/BYcLCzkZRgcUVJXxzeCCFZGjOgCiURsrmtiL7GLHc4+WYzff6Ma/c0xCDpU69iqZc6DKlmvP6+ubT0NJPwWyMSSNm1HEIEIE/0ZVw4y3jEwd4R92Cj599/3eMo0v0EEcWPWrqsPaNvQWBJ+C1jdHVZ/xx4sY7dXYgIv1UAQwczd94zHuHE9+G1nklRUSGWam6MXtLxMgytZVOwikRo6GG0JCX8jvx45gof//MNhGxbhc++woR6ziSB8FZacNXv2ZXyxFmfeClOtH6KJrOp/oBWMcx/OxV+EHpFXoC2hOH4A23Jz8dhfy43nL+u+COY/5t4M+/vEhaMxuZuNdUgJIgiZ/9EalJXWOOzyszo+Eyf38aRZfsGpmi28380WWhSz6B3BtleHuYPGJ7+ACHnbVgEm4Qfw0bbt3I3DQzhNi640/mf6Pl6fMhEzevf2opUE4TtUVNTit6W7rHurNi4AoSoFrpw+xJOm+QV63ts3di0NFivu8g6n+TMV4eoOXyPSDUXbgt7V06DVYtOpU1Zx++YwBfbpiMHXHT1QWOhNMwnCp/jj1z28XIPIlLRl6iKZ7xt3qUJkiGXuIMKKuJAu5jLMTGyY5At8BGDaJIhWdHWL6DOCXvhL6+qcBlSxyIR6LWXsEgSjvl6DH7/fYh3OyW7yeP7Ga0BjDR82sbtnd46XLfY9ukde6qSFgN7R0932+kEv/J/s2OG0DZvU7RpHdcYJgvHP34dsJmU1W5mUjwaYj3/T+mNesdOXCZcl4sLEx/ntpp6/8R6jU/h4dIuY7LbXD2off41Gg18OHXLaTiIWY3qvnh6xiSB8nV07s5uiH1yI/lFrtJ4wy+/oHnUJn7TdV/Y9cmu380StaHkG+kRfhe6Rl/AlGt1FUAv/ybIyqPV6p+0mdumMaCXF7hMEg5diFlxv26FjgrtN8ltSQvvzjZVlZsIvFnlGkoPa1SMzlVh2EI7GQqv6JSV5zCaC8HV69HQ9tJAFRkyc3Net9gQCIpHYY6KPYBf+TjExPIzTbsERkbFjc2H7tq+HTRD+yuSprgv5409fiogIGi3bQ2dQI7NqLfaVLUFm1TroDJ4paBfUrp5tZ87wME4rvbe4IzReGVNoSUeCMBMZGYqx43ti7T+HHbbr0zcNF11MuS/2OFj+GzYVfwqtoQ4iHs4pQC5WYVTCvegZNRXuJKh7/Cw2X9zYq2c0/8tgyRVZZWVesI4gfJfHnryEJ2fZQyaT4Pk5Mzxqkz9xqOJPrC18j4s+w1TqTmOoxT8Fb+Fo5Sq3vn5QCn9lQwO+2L0Ly44chqHRxWNX/EWg5RYJohnKUDnmf3EHoqJCWxyLiVHh0wV3ISpG5RXb/KFA25bizxy22Vz0KQyC88CTcyXoXD3bz5zBHb8uQ51WYy7L4GiCN0GlQpfYWA9aSBC+T12tGnOfW4rKktrG4jJN42SVQg5VqP3RQLBzpnYPGvSOK5bW6cuQV7cf7VQD3GJDUPX4C2tqcNuyJajXaa169I6ieu4ePMTp4iwEEWx8/L9VOH4037jylsFgXHKRlboSgLy8crz+0q/eNtFnqddXuNiu0m02BJWifX9gP4/bZ5m4LbC4AEgaI31u7T8Atw5wzxWXIPyVqso6rF6+Hwa9ce0Kc7+psU6PQS9g9/Zs5J5qtjYvYc7abct250JQuXrWZJ+0LfoWhEiluLpXL1zbuw96JlDiCUE0Z9f2bOh11qJv5ezhVW5FOLj/NNIyyE3anBRlH4TLklCtZYUfbemRCFHydkgM6Y6A7vHPmzcP7du3R0hICIYNG4bt27e75XU0OueTJZEhIXhx/EUk+gRhh5V/GJdStJH20gRzAbXxcoGBlKw1NvERHsJp61NktXvGJj7s1s/P68L/448/YtasWXj++eexe/du9OvXD5MmTUJRUVGbv9aA5GSzG8cWLJlrYHJym78uQQQKNdUN2L/7lN1pMUsp6zcgw4OW+RcZYUNxedrriFV0sNofp+iIK9LfQjvVQLe+vteF/5133sFdd92F2267DT179sT8+fMRGhqKL7/8ss1fa2a//tZ195vB3EAyidc/EoLwWfLzyqFrdPM4grl4klOjPWKTv5KmGoRrMz7FkNhbESpJhE4QIb8hB7/mvoClp/8PRQ1Zbnttr6qcRqPBrl27MGHChCaDxGJ+f8sWtjRZS9RqNaqqqqw2V+mVkIA7Bw5y2Oa348ew4dSpVrwLgggeQkJkLrUbP5EyduHCOh//FL6LLSWLUKkrgQBjvpDaUIuc2u34NvterMl/nxdwCyjhLykpgV6vR2Ki9ew1u19QUGDzMXPnzkVkZKR5S0tr3Qo1DXodz9a1icgY0fP1/r2tek6CCBbCTAunOwmSiIsP94xBfkxW9SYcrGBrfVsKkuV0ObC/4g/sLP25zV/b7/was2fPRmVlpXnLzc1t1eN35+fxMgwtV40wHmeuoD35+W6xnSD8Hebf56tr2Zsrawzp/O1n5wscBTMGQY9/Cj7gyy0asT/3uLPsZ57tGzDhnHFxcZBIJChstp4tu59kpxSyQqHg27kilzh/y+TnJwjbbN+cabzBxb/ZQYuLQebxAr5Eo1Ip96yBfsLe8t9Qqy9vvOc4eodl+RY1ZCJZ2aPNXt+rCieXyzFo0CCsWbPGvM9gMPD7w4cPd8trXtShY1MpZhswV8/FHTu55bUJwp/R6fTYuv64/QbN3D8N9bTyli2Yz3536WK0Br2hbT9Lr3dtWSjnZ599hoULF+LIkSO49957UVtby6N83AFLzFJKZTbFn3t8RCLc3I+ydQmiOYf3n0F1Vb1Lq2+xuQCqw2+bWl05qnWuh6uLIUGsIiOwMnevvfZaFBcX47nnnuMTuv3798eKFStaTPi2FXGhoVhwxXTc/usSvuauue6+SMRr8sybeilfoIUgCGsa6pstEsJ+ODYGz6xPdckVAyGRer1f6feIIEa3iLFQSiPb9nkFFlPkx7BwThbdwyZ6I1qxYEqVugGLDx/CqqxMXr9naGo73DlwML8wEATRkrwzZbh1+odNO8Q2xF8AElOiMP/r/0AV1hgBRFjBJHdB1m2o0LIgEkfyK0K0vB2uzXgXSmlEm+ph0F6St57JxTcH92Fr/hnsKcrHJ3t24NFVf+FEGRWWIghbhIbK0bVnStMcro3wclWYAh8tvItE3wHMnTwo9mqHos96+hfE3YTr27/vsuj7lavHGyw5ehiPrV7eYpS65cxpTP/5Oyy9+gZ0jqHiUgTByDpegC8//Bs7t2SatYqJvzH+3LiKkUgMHqH3yrs3IJx8+07pEzUVxQ0nsb/id4gggQBTHTERlOJIXNP+LcQo0uEugk7467VaPLfWGEXU/HrLYvjZ8Vc2rsNXl0/3in0E4UscO3QWj//nK+i0eusfDCvCJggQRCKIJBIMH90VM+8ag05dbYdhEy17/eOTHkDXiAuxv/x3lKhzIBcruT+/Z9QkhEjC4E6CTvhXnsxErdb+SvZM/NedykZRbQ0SVO798AnC133R7778Gxd9A4vbN+60aiMRAdfeMgLX334hFC6WcyCaxD9N1Y9vnibofPxnqiohZeNSB7BT+2x1tcdsIghfJPNYPrJPFNoVfQY79sOX6/H0fQuhbqC4fX8h6Hr80SFK6F0oehQdQpNTRHBz9nRZ0x0HwX/s0OF9uVj8zWbccOcYzxgXIGgNDThYsQYHKlahRleKcFkc+kZNRq/I8ZCK3Zf1HHQ9/kmdujjM3GVHescnoH0UlZQlghsWoWOqveMKP3+9iWfeE65Rp6vE19mPYHXBhyhoOM6FP7/+GFbm/w/f5sxCg74G7iLohJ/F6f9n4BCbx0yXgydGjPaoTQTha779f//aj6/+txoivcA3sM3g+CJQV6PmC7UQrrEi7z2Uqk/bPFbYkIXlee/AXQSdq4fx+PBRvNf/ya4d0AkGfpstwhIVEoK54yfiwvT23jaRILzG5++uwuJFmyBqVr9cZNJ9sf3qnNWVdYiIpCRIZ1RqCpFZs9VhmxPVW1CtLeHun7Ym6Hr8jD0Fefj3dDa0MEAQAXoIiFeF4uVxF3NXEEEEK/t3ZnPRZwimSd0WVeLtI5MFZV+y1ZytP+xSuz1lf8IdBJ3ws1DNq5f+iEMlRVa1+Ivr63D/yt/xx4lj3jaRILzGHz9uh8RBWXJ+KbDjxmePi01o+yzTQK3H7wr5De7Ro6AS/oqGety1/Ffu1mmO0Lg9t2ENtHrXvhSCCDROHM2HXm9/gtZuj59NA7C1eP279JfHSArp6lK7ELF7comCSvifXbcGGieiXlZfj/W5OR6ziSD8cU1dM1bZvHB40SCaiFWkQSpyHq6ZHNoN7iBohJ+VYlhx8oRLbfMoeYsIUkZN6NliUtcSczFfyzDPRq1PSYuBXEHZu65m7Q6LvcZpHf4+kRfDHQSN8J+tqYLWxRjjkrpat9tDEL7IlBmDIZNJbLtsWH0eJloGA0TMrcNCPE1F2wBccf0wj9vrz1wQfw3SQ/vaOGK88F6S+rhbKnMGlfCzVbdc5cv9u9Gg07nVHoLwNUoKK7Hsm82sDkPTzuYJXM1um6I6h47uikuvtp0fQ9hGIpLh6oyXMS7xLkTIEs3lmDuFDcUN7d9Cj8ixcBdBE3uVEhaO7rFxOFpa4rRttUaN304cwTU9+njENoLwNiePFeDJ2z/jSVi8Ng+vu2wRr29ntNwuIw7Trh+GqdMHQSKVeNZoP47oOVi5FjtL/0CROgcykRzdI0ZiUMwlSAhpD7HI/Z+jOJh8ao8MGeFy+1c3r0ODjopOEYEPK7Mw5+FvUFfbKPqWOCjZkJQShc+XPojLrhlKot8K0V+S+xp+P/suChoyoRe0aDDUYn/FGizIfgw5tfvgCYJG+BmTO3XBiNQ0J62MJ3mFugFP/LPSI3YRhDfZtekECs6Ww8B89q2gurLebTYFKrvK/sSxamPGrmAREmWAHnpBj8W5r0Ktr3O7HUEl/Iy54yY23nJ+kv+eeRQ5leVut4kgvMnR/blNSVumhBYX4vFDlO6rHhmICIKA7aW/OdAeARpWrbNyrdttCTrhz4iMwk29+9kOQrYMUWAfjkiElS6GgBKEvyIWi41JjQZL4Xcu/hdPG+AxGwMBtaEOFdoCpyGc+fXu15ygE37Gs6PGooO57LKF4DMsQpiZ8Ndqyc9PBDb9L+gEoXnWremmHfFnq21dOXOkZwwMEMQuTtrS5K6bUEik+G7aNca6/Bb1eprno+sMBnSOpkXXicCFZdp+9jorBMZ+C81+AJaBPBYXgLCIELz7zX8QFaPynKEBgFwcglRldx6yaQ/m6+8UNsjttgSl8DOSw8Ixo3tPSOyUl2V7IxUhmNSxs8dtIwhP8d87vsTR/Weaonea9/CZ+PNJXxGGj+uB/755LX5cOxsduyZ7y2S/ZnjcVRDsVLljF4QoWRK6hA91ux1BK/yMJy+4kF8Amos/u89GA+9NmMpHBwQRaFRV1OGR6z7G/u0nzfvMvwJb7h2DgAefuRwXTupDoZvnQbeICzA+8TZ+29TzFzV+8uHSGFyfMccjrp6gVjVWrbNzTCzOVFdZ7R+YlIKnh4/BoKQUr9lGEO6iKL8CT9z0Kf/LsDnmtUzeYnX25RKERSo9Z2QAMzxuBrqGD8Pu8uUobMiGXBSCbhHD0TNyNGRiz6z1HbTCf7C4ENcs+wFqvc545jd2clh9qkOlRVBKg/ajIQIUnVaP+a/8hj9/3G53BS2Ln4IVY6f2g1xOv4m2IlbRDhcn3QVvIQ3WeNon/l2BBr2uqTa/KTMd4HV6nlq7Er9fNdOrdhJEW/LxS79i+U/bm+TdmfhbuHwuowJs50WltgTbSn/HvvK1PFM3ShaPwTGTMShmMuRiBTxNUPr4D5YU4khpsc0FWRhs/4FiYxuCCAQKz5Thr5+2u7xOSvNLQmr7tl/3NVgoajiNjzMfxpaS31Crr+BlGko1eVhZ8BW+OjkbDR7I1G1OUAr/yXLXsnGzykvdbgtBeIINKw8aw5ddwDKzhT2iz+D2UIV5xvcciN6FH0+/xsswtIzmEVDQkI2/Cxd53K6gFH6V3EGquUVM/zs7N2HZicN2RwYE4S/UVNU3LbDi5HxuntZy3X/cVx440MmpPYhSzVm7IZxs/97yNR7v9Qel8I9MTUeozEZ9ftOZ3njW51RV4JF//sJDa/6A3sVFXAjCl2io0+CvH7Ziw597oVdrWcaWUfhNVTgdXARY/Z6H51yJQaNcWx+WaNnb31/hvO6OTtCgRJ0LTxKUk7tKmQz3DxiGN7dvtC36jZh6+n9mHcOw5HaY2YtqkxD+Q2lhJZ68cT7yckqs53EtOzEWyyyKxSJkdE5Eu47x6NQ9GRdfOQgx8eGeNTqQyi+feRcHKze41F4s8qwUB6XwM+4bOAw1Wg0+2buDl0cVnLg/vziwGzf17M/r+hOEP/DyA4uQd6rEfseeXwDEEElECFUp8O5P9yGtQ7zH7QxENhYvcVn0VZJIJIZkwJMErfAzAb+r32Ae0vn14b28Lo892G+GlWdmBdvCHM0PEISP8NuijTi653RjGYZmBy36LqwfM3JCT9z55FQktovxtJkBiV7QYSsvv+waI+KugIR6/J7hbHUVrvr1OxTW1bo8eWuvrg9B+MIqWns2HEfWkbOoLq/DL1+sty36DPM+AXM+uw2DR3fzrLEBTon6LOr01tUA7DEoehKGx10BTxO0wv/Yv8tR5KLoszC4/gnJfG6AIHyN4/tz8eoDC1GYWwaxRAyD3gCIXIvbkFHdHTfgWkdyYPREXJZ6H7xBUEb1ZJaXYmt+LvQu9vTZxeGe/u6vmEcQrSUvpxhPXT8PxWeNuSlc9F1FAHKOO14YhGg9IeJwSKHkgVOOJKZP5IXwFkHZ499XXODyVZH9jJ4aNhoT21N5ZsL3+PmTf6FV61ouku4iJw+fbXObgpV6fS3+OPs59ldsgIErBxtNCRALAsQiwRxZxapyxilS0V7V22u2BqXwy8SuDW/HZ3Tiot8lmtLVCd/j1PECrPpxKwxs9SwTlosLuYCUXD1tgsagxudZz6Kw4XSzZC2RcUVLQQQJDNxtrJJG4rr0/3o1QjAohX94ShqfqHXk6mF1+N8ZNxURCs8XUCIIZ+zZcAzP3/aZtegzTBO6Itf8/EPG9XCfkUHErrI1KGjIsXNUxL8SmSgUQ2InYnT8DIRKI+BNgtLHHx+qwoyuvezWLmF7b+rZj0Sf8Enqa9V4+e6veJllu3DXj2P3jyo8hIS/jdhZttppm3qDGhuK/0R27WF4m6AUfsacURdhVGqGVZim6e+odhloMGgx+NuP0GfR+7jmj+/x58ljVLOH8An+XbYLdTUNvCSAXXhZhmYLqDfjlsem8LIMxPlToTUmyjmDuYG+P/UWStXenVQPSlcPI0Qqw4KpM7Dp7CksOX4YhbU1fBnG7rFxeGPnemwqEMyuoB2FZ7Gt4Aymd+6Jt8dMdbnKIUG4gxP7TkMiFUPf3M1jE+N6uc2RyiUYO41KkLQVKkkEGvS1LrVllQK2l67AlJRb4S2CVvgZTMBHt2vPN0atVoOh330MrYEXcTC3M/X0l2QexuDEVNzYo7/XbCYCm+wjZ/H3D1tRnFcOpUqOMVcOwcAxPdBQr8HapTvxz5IdyD6aD73LYZstRZ9NKl5yw3CER4a2uf3ByqCYi7C64Fsr3bCPgMyaffAmQS38zVmWeZjX73H0E/ri4C4SfqLNYUL+0ewf8Ncii8KBAFb9sJUnZYVGKlFT2cBFm7t4JC5E47DJXZHImNRlMEAiFvPXGTW5D+54+lL3vZkgZGjMRGwvXYkKrWuLN7l2gXAfJPwW7C7Kcxjtw/ZmVZbxkYFKRjV7iLbjh3eXtxB9Eywpq6bM6EYQTIJvXjLUttsxtVM8Jl8/Ap16pWLLqoMoKazilTYnzBiMbv3SqdhgG6OUhuGuTq9g3onHUKevdtq+U1gfeBMSfgvEIjFEdpebboJq9hBtXTN/8cd/u9aY1dNn4s8mbsVi4wWg8Xw0lWu47elLcc19E8wPGTCS6ul7gih5HGakPYivc1510lKEYbFT4E1I+C24MLU9fjp+wKnos4qebHKYIM4FjVqLv3/YguWLNqDgdDEkUinqquoBCet4tAIm/o2i36V/OnoN7ogpNwxHepckd5lOOKFr+AB0CuuLrJoDdjuQV6begzhFCrwJCb8Fk9p3gVIqRb1OZ7eNXjDg5+MHcVefIR61jfAOddX1KC+oQHhMGDQNWqz4ai2y9p2CTCHFBZcMxKjpQyFXuN4JqK9pwOyr3sXRXdl8dGnssBvHmecET9gS8OArV6NL3/RzfRbiPGBzLlm1B7Gr7F8e1hkmiUCXsAHIqtkHA5pyLaJk8bgq7SF0COsFb0PCb4FcIoGUr0hkeaU23W/8KwL+zT1Jwh/gFOQUY8HzP2Hdz1uh1zX9eFkHm2ktc6us/WkLEp79EW+s/D+kdEp06Xk/e/4XHN9zip9KbTW9FxoWQr18L6EzaPH96XdxqGo7xBDzGj2sFg+L1++g6onhsRP5/nahXRAl951Fbkj4myHY3WMUfYbG4CBjkvDrntuRrSew5vtNWLlgLXSalsXPBHYSiGDeX3K2DE9PeRVfHHwbMrkUFSVV2PLHHtRU1CK5QwKGTu5nHhHUVNZh9febGytoGk8mq0lWC3+9q7AF1KfePAoKJQUbeHppxWPVe7Gq4HvkN5ZqMBZmMyZpMXJqjyBWnoir0u6Hr0HC34wBCSnYnHfKYR2fjpHRHrWJcD9lBRV4fvqbOLotk4up+SrfVFLRLNLmM0Mk4hcANjrYtHQHTh4+g8UfrIRer4dYbJxoDY9W4eEPbsWoywcj60AutBqjG9FmVA27mEhcE35mo2AQ0G9EF8x8bGobfAKEq5RpivDFyVdQrD5rLH0gsh+yubt8HSYl3YhwWRR8CRL+ZtzWcyA2nLVXbMnIqlMn8OTgCxGnVHnMLqJtKc0vx+qFa1GQXQRVZCg2/roT+dmF/EdsdOw1yjvvABgvBDx+nvnjG3/o/AiLrIGAz579ASV5FeZeu97AyvCKUF1Ri1dmfoSXl8yCItSF2k+maB0bJKTFQq6U85FDSvt4TJ05CmOmDYJURhU2PYXWoMYnmS+gUltq3OHkOs1GASdrD6Jf1Cj4EiT8zRif1glj23XA2jPZdttUatT4+sgePDrQt75MwjV+evNXfPHf77hIM+Fmgs6XXG7q3DfDVPHS6OBn7h7jhKwAQTBAJBKjpHEhFMsJV4G1YSIuBhbMWYw3/3oaISoFGmrV9o1jr8NX0BKx+GJzeYVpd47HrbMvJ5H3MvsqtqDcxSQtE3rB91zDXq3Q1L59e+MPyGJ77bXXvGlSY2ak4ws5K+GwOPOQB60i2opVC9fis6e+4W4Y5qZhE7cGfdMXbj+xydZySkz8Td1/G65BJv5sMwg4sScH5UWVuPyOcebsW6dF1gQDrrrvYvxy7G3c+dyVJPo+wIHKbU3fuZ2vvTntlL63iJPXe/xz5szBXXfdZb4fHh4Ob1OurncacVGpbvCQNURbwcoWfD3nZ7vHXc5m5WE9jclTzl/UXF6hqqwGM5++HLkn8rFl+T4+UmDib/N1xSIMuLA7bqFevk+h0TNtMH3vxkg/e3PyLJqnvaoHEkJS4Wt4vSYrE/qkpCTzplJ532/eISLaYXYu+9DSw31rsoZwzqlDudynb4tzKmHg4mNM4h7fLpZH/jy78F689MOD6DaovU1RV4aHYOZTl+HFb+8n0fcxkpTpXNBbxPw1GxCykM5wWTSuSXsQvojXe/zMtfPSSy8hPT0dN9xwAx599FFIpfbNUqvVfDNRVVXV5jZd160vfj15xO5x5g6+qTsVavPHBUxscx4R9eaoHwcdBYkYQyf2RUxipPG+WIwhE/rwjRVN27fhKIrOlEEilaDn0E5ISo/ltwnfY1jsxdhUstxiD5/pabxlFP9QaRhGxk3F8NgpUEm978HwOeF/6KGHMHDgQMTExGDz5s2YPXs28vPz8c4779h9zNy5c/Hiiy+61a7hyemY3qknlmQdtlnKeVBCCqZ38X72HdE6Ujsn2a1jb/K3u9TzN4V12nPTNEOpUuDOV661eYwthDJwbE/nr0l4FYNgwN6KLdhYshICFNAJWt7vZylbTWG+IvSIGIib2z8Bici3L9wiweEMU+t5+umn8frrrztsc+TIEXTv3r3F/i+//BJ33303ampqoLCz7KGtHn9aWhoqKysREdF261jqDQZ8vH8bPj+4k/v8GaFSGa7v1hdPDL4QSqrV45e8esN7WPfLlpZr1bIfg7NSx6Y1bMVi849dGiLlFxI2gWvvYvPiL48irUtyG1hPeEv0vz71PvZWbDWW2bAaIQp8EfVoeSxGxU3FqPipkIi8159mehgZGelUD9tc+IuLi1Fa2hjjaoeOHTtCLm+ZaXjo0CH07t0bR48eRbdu3dr0jZ4rGr0ex8tLeI2eLlGxCKVyzH5NSV4ZHhr+X5TmlTdm0Da5Y1hPXhYig6Ze21T33gzP4DKLPkug6jW8K6594jLMuf5//LnMI4nGQQA7/vqfT3O/PuG/bChegSVnF9g8xi4ECnEInus5D0qp9xe2cVUP2/yMjI+P59u5sHfvXu7/TEhIgC/V7+kd51odFsL3iUuJwbztr+Gbl37hZRnUdWqIxSJccOkg3PTsVWjXLQUbftmK/OwiPrEa3y4OJXnl2LnmIA5tOsafIyYpCpfdMwFXPTwF8hA55m16CYs/WI71i7dDXa9Buy5JuPzuCZh861gSfT9HEASsK/7L/nEIaDDUY1/lVlwQOx7+Qpv3+F1ly5Yt2LZtG8aNG8cje9h9NrE7ZcoULFy40OXncXePnwhctBotqkprEBqhhFIV4rR9Q50aWrUOqkgl76AQgU+drgb/d/BOh21YlM/QmLG4Nv0/CNoev6swH/4PP/yAF154gfvsO3TowIV/1qxZ3jKJCDJkchlik12vuxQSquAbEVyLMzlH5GI738Frws+iebZu3Qp/h00Cb8jPwYnyYh7mOTGtCzpExnjbLIIg2oAQSSjSlB1xpj7b7jq5rOZ+t/C+8CfIAXke/HsmC09s/Asl6jrzvrm71iJVFYG3Rk7F8OQMr9pHEMS5ozVosKnkb5Rry+yKPnPzRMlj0StyEPwJ/xqf+BCb80/h9jW/WIm+ibO1Vbhh1Q9YffqEV2wjCOL8UOsb8OGJl7H07Deo0lbyitmcZvofJo3E3R1n+3zcfnNI+M+R13atdZjvyY49suF31Ou0HrSKIIi2YEXBYpyqy7RQehEXf3aPhcNIIMWMdrfjvz3eRUKId9fPPRdI+M+BU1Xl2F9a4LRdrU6LMUs+QVFdjUfsIgiirVw8a2y4d1jylnHTCnpESKOhkDiPBvNFSPjPgVIb7h17FNXXYsbyb/gkMEEQvk+pughqgzFb3x4scSu37iT8FRL+cyA5tHWFl3JrK/FnzlG32UMQRNshETuPeWGjAZbN76+Q8J8DyaoIDIpvjV9PwPPbV7vRIoIgzhdBEFDUUIBKTYVLSy3oBeP6yf4IhXOeI/f3GYHb//nFeUNet0WEck09tuTnYHhyew9YRxBEazhQsRt/5P2EvIbcxj2mlfhYBdbAE37q8Z8jo1PbI0Luahansftw97ql0Ol9b/1NgghmtpduwKcn30Z+wxmLvU2llm31/pmPnyV3+Ssk/OeITCzB7T0H21+cl+3nx5rOmiqNGkMXf4jPD2+HjiZ7CcIn4vV/yjVW3rQVxWPc3/JHztoOiL4A/goJ/3lwX+/huJC5bkwib7lxWnYVyhrq8cquf3DPuiUk/gThZfZUbIPa4Gj9bNOiO5Z7ROgbOQSpSv/NzCfhP8+SzV9cdBXmDptk7hs0YX92iB35+0wmlpw86AErCYKwR4m6yIWsWxEkEPN1dBn9ooZhZvv74c/Q5G4buHyu79Yf/eJSMPXPL20LPl+M03IkYOSjg5txTWf/Ku5EEIFEqETFV9hyxsj4CYiUxaBf1FAkhPj/amrU428j4pR2JnpMYm9jLiCnugJlDa4ngxEE0bYMiB7m8Dhz62SEdsJVabfh4qRpASH6DBL+NkIlk9ue53USD/xz1gE3WUQQhDOi5bEYGcdWzrIXpQFcmnI1Ag0S/jYU/rGpHSFpHvRr/3zibC087Va7CIJwzFVpt2B03ATeu2f/xDD6/JWSUNzW4UF0j+iDQIN8/G3IQ31HYUNejvNuPkEQPoNEJME16bdiYtLl2FexA/X6OsQrktA3ahBkYjkCERL+NmRAfAo+Gz8DD6z7FbU6jfECwCd17Xf7+8YmedRGggg2tAYtdpZvx5aSDajQViBGHotRcWMwIHqQVURPlDwGYxImIRgg4W9jxqV2wq5rHsS965fh3zOZDkTfGOZTo1V72EKCCB7qdLV45/gbOF2Xw904LPGqsKEAh6sOomtYdzzYZRYUkuBbR5l8/G4gRCrDl+Ouwgi+9KKtpXua9i3Lplh+gnAXC3O+wJm601aZuULj3xM1x/Bz7ncIRkj43YRIJIJCImns8FuKP6/8xDeRGCjT1OP6v7/FrmLLOiEEQZwvpeoS7KnYBQNsx+kLELCpdCNqdMG3UBK5etxIgjIcEpEYelsnnoUHaFvhaVy16msoJFKkhIbjus4DcEOX/giTBd8QlCDaiuM1x5y20Qs6nKzJRN+o/ggmqMfvRq7q1Mf2Yg3N3P6m8YBar0N2dTle2/MvrlixkJK7COJ8cKWofpBCwu9GBse3w5T0btY67ySu3zQEzakuwzPbV7jROoIITHLrcrGldBPq9I6XT2SIIUZ7VUcEG+TqcbOf/72R0/B66L/48ugOl0TfhF4QsDz3KCb/+SleGjIFQxLS3GkqQfg9+fV5+DLnc2TXNq2Fy0qrGUtltez9iyDG0JgLECGLQLBBPX4PVPB8uO+oc3y0CMcqSnDt31/j7X3r2tgygggcStWleO3oKzhVyxIomzBA4JslosYeWHpoOq5Ln4lghHr8HoBN8Lamt2+LeYc2oXdMEialdWsrswgiYFhe8Cfq9fU2IniMsftM+lMUyag31PH6PKPjxuCC2BEBm5nrDBJ+D9Xx6R+bjH2l+edVzOHTI1tJ+AmiGays8ubSjXbDNo1OHTF6RfXDtWnXe9g634RcPR7i3l4jzkH0rR+xp+Qsj/whCKIJjUHDN0ewPn+lttJjNvk6JPweYmJaVzzZf2wrP3Qba31SiBpBWCEXy6EQO855YX79aFmUx2zydUj4Pci9vYZj5SV3Yma3QTzUk/v+HWIt8j2iE3g5CIIgmhCLxBgZN5q7c+zB3EAj4kZ71C5fhoTfw3SNiscLgyfi54kz8Wjf0U5F37LG2+3dhrrfQILwQ6YmXYIwaZhd8b8wbixSlaket8tXIeH38ghgQmpn6zo+dmYCbugyANM7BN6CEATRFkTJozG7xzPoGm4d/MBcQJcmX46bMm72mm2+iEjwc6dxVVUVIiMjUVlZiYgI/0zE+OzIVry2+9+W8cYioHd0Eh7uOxrjUzrzhDCCIBzDyi6fqT8DmUiGbuHdg6rscpWLekjC7yOwuvy/5hzE5oJTEItEuCS9Byand/e2WQThdbJrc7CrbC80BjXahaZiWMyQoBLz1kDCH+AU1Vdj1dljqNaq0SE8BuOTu/IsYYIIFGp1dfjwxHwcrDrMffdsxKsX9AgRh+DezndiYHRwVdRsSz2kBC4/Q2cw4JW9q/Bt1i4e2skiGlgF0AiZAo/3HY+rO/SHTEwXAMK/Yef2e8c/xPHqTH6fJ2c1dlEbDA343/GP8EzPp9AlvJN3DfVTaHLXz5izZwW+ydwJg2BMQzeVfa7SqvHcruUYsuwd/O/gOkr0Ivya4zWZOFp93EE2LvBb3p8etSmQIOH3I87WVuD7rN0OM4BrdGp8eHgj7t74I7QGvQetI4i2Y0fZLqdx+fsqDjjN2CVsQ8LvR/yVe8SlyB42FthYmI1fTx3wiF0E0dbU6xtcOs/VehL+c4GE34+o0NTz+uKu8r+D691qD0G4i+SQRJs19C1RSVVQSUM9ZlMgQcLvR6Spomwv5WiH/PoqHK8scqtNBOEORsePMNfNtwXrAF2UMIYHNxCth6J6/IhL0nripb2rWjVxO2vrUsQrwxAmk2NSux6YmNoDcor6IbyE1qDF9rLdyKzJQZ2ujrsuI2URSA9th6ExAyATG2tRRcoicXP7G7Ag5xt+AbDs/TPff4oyGZcmT/HiO/FvKI7fz/jx5B78387WRTOIxQLvIbHM4HRVNBaNmYmU0Ei32UgQtjhadQLvHP8Y1boam8dVklA82OUu9IvqZd63u3wvlp39Hdm1p/h9FsM/NmE0rky9DKHk5mkBJXAFMCvOHMFb+/9FTk2ZC60FiJuNhiUiES5P742BselIVIZjRGJHGgUQbqNEXYZlZ1fg78L1fCFEkwOneZwC69kz182cXk+jY1iG1bEKTSWP4ImSR0HeOCogWkLCH+Cwr+3eTT/j77zjjlrxH5ezQKAohRJP9pmAq9pTJiTRtqwr2oL5WV9bxOMbIHZwPjI3zqDofpjV7V5PmRhQuKqHNDPipzDf6BN9x0Nqd3JLaFW00H93/Y4nd/yKnSWnabEXok04VHkc8zIXQScYYDqlmOY7Or3YBWJn+V4+F0C4DxJ+P6ZTRBw+HHEVd9NYh3k21fJ3qaBn4w9x2en9uGHdQkxe9TH2lZ11j9FEwMM6Divy12HO4Q+g53NLYughhk4QweBCn4LH51Nillsh4fdzJqR2xdpLHsDDvS/EqMQOGJXYEaFSmeuiz2jW7lRNGWauX4RjlYXuMJkIcH7N+xufZf8IndAyc1wPicMev2mSN1SidJ+BBIVzBgIJynDc37NpNa8PDq/DvMMbWtT3t4mNiwN7nEavx4t7luOLUTdCScs9Ek5g+SVHq7JQ2FCC707/aqcVd/Tw3r/YTg0eHp+feCHF57sZEv4A5O5uI7Gj+DS2Fuec83Mw8d9Zehoj/nwLt3UZjvt7XOjCGsFEIFKtrcXKgg1YU7QFldoaxMqjMDFpJC5OHIkQiQJbSnbjq5xfUKqpcOHZWEx+k5/fclTKLgfJykRcnjLZbe+FMEJRPQGKxqDHzyf34LX9q6E2OEj4cuoOMkYGTc/oj7mDLm9jKwlfp0RdjtkH3kapusIqiYqdNmmhKbg8ZRw+yvqm1c8rgY5H95iEn4VojokfiWvSpiFMqmrLtxBUVFE4J8EobajFXZu+x8Hy/HMQfusF338eewf6xtCC1cECk4ZZe+ciuzbPLPqWMfjMLSMVs0nb1pcAl0LA7R2uxYDoXtAKOsTKY/jogTg/KJyT4MSGqLB4/B14uu+E8xJ95uZZcmqfe4wkfA620tVLh+fjpFn0jSeCYOGqYaGX5yL6UbJwvNL3KUxKHouEkHikKpNJ9D0MCX+QxPzf1uUCDIpLM/5+TZtdBJuTdzk1pfgj9wB+Pb0P2dWl7jSZ8DI/nl6BXeWHGu+Z+/nm4+fiJmCZuVKRBLO734vOYe3bxE7Cx4T/lVdewYgRIxAaGoqoqCibbU6fPo1LLrmEt0lISMATTzwBnY5WjnKX+H8y4joMik1rxWNMt9gSjwK2l5zEEzuX4OldyzD17w9x+8ZFfO1fIrBgNe5/y/vXQYvG3n8r1T85JAEv9HoYncNJ9ANW+DUaDa6++mrce6/t1Gu9Xs9Fn7XbvHkzFi5ciAULFuC5555zl0lBT4Q8BN+PvRWfj7we7cNimh3lA3gbZR7Y4N74I2/6nRvbbSvJxox/P0GZutaTb4NwM5k1p11aCMVVMkJT8Urvx/D+gOfQI6Jzmz0vce64fXKXifkjjzyCigrrUK/ly5fj0ksvRV5eHhITE/m++fPn46mnnkJxcTHkcrlLz0+Tu+dOlaYBi0/t5cXeDIIBy88cQp1eA73VKcF6+/Z9/wyVVI6XBkzD5NSmqoqEb3O8+hRW5G9GZk0uarR10EOHcEkoBsb0RKewVLxzfKGTZ2AdAhG6RaQhs8ZYOdMez/S4n0/iEu7HVT30Whz/li1b0KdPH7PoMyZNmsRHCIcOHcKAAQO8ZVpQjQCY79/E7V2G47EdS3CooikCiIfcmeXeOBpo3lWo1Wkwa8fPvN0kEn+fhvXzPs1agt/y1rWoc1+CSpyqy4dYZKyS6Wihc3ZW9IjoiDm9H8LrR+djT8Vhm60mJo5C/6iebngnxPngNeEvKCiwEn2G6T47Zg+1Ws03yysc0TZ0CI/FkvF34UB5Hg5X5EMuluLrrK04UlnQJP2C/VIQrx1YiQkpPawSvdiC7/8UHMW/+UehNmjRNSIR09MHIVFJozNv8Gf+Bi76jCbRN7rzTN8rG/ExyZewC4PItkMgOSQer/R5hF8g/q/H/fi3eCt+zv0LRWrjpH9qSCKmpV6M8QnDXVonmvBh4X/66afx+uuvO2xz5MgRdO/eHe5i7ty5ePHFF932/ATQJzqFb4x1hcdxvKqQi4Gz329hQxV2lZzC0PgO/H5+XQXu2rIIp2pL+RoABkHAP/lHMf/4Ojzb91JclTHYE2+HaIS5837JXdNsr1H0LTF9z6xyPtd9C/FnsfsRsjA83+s+c1kFJuxM4NlWp6vnl5NQSQgJfqAI/2OPPYZbb73VYZuOHTu69FxJSUnYvn271b7CwkLzMXvMnj0bs2bNsurxp6W5HqlCtI7p6f2x8qztYbwtStQ1yK4pwQ/Z27H41C5z1rBp3oD3MgXgxX2/IzU0GsPjO7nNdsKa/IYSFKvLbYq+LY1m31XnsDTU6+tRoqlAuFSF8YnDcGnyGETJbY/YQqVUXC3ghD8+Pp5vbcHw4cN5yGdRUREP5WSsXr2aT0j07GnfJ6hQKPhGeIZRiZ1xYWJnbCjMdCl6+0D5WTy9+xcuKI48xMyPPP/YWhyqOIuzdeWIlCsxMr4LDlTkYnW+cZK5e0Qyrs0YioGxFP7XFrBcjOY465SzrN1vLpgLFQl6QOE2Hz+L0S8rK+N/Wejm3r17+f7OnTsjLCwMEydO5AI/c+ZMvPHGG9yv/8wzz+D+++8nYfchmEC/P+xavH5gFX7I2W7Xx892xSpU+PrkFuMEsJPnZW6f3WWnsbfsNCRi43rAX2ZubDxqdCvl1pZhRd4B3NxxJGb1mBS0roNTtYXYULwftbp6pIbG46KEgVBKW/8bkcJ6eU1TmK6jj5WVVmajBBL+wMJtws/i8VlsvglTlM6///6LsWPHQiKR4I8//uBRPKz3r1KpcMstt2DOnDnuMok4RxQSKZ7rPxX9Y1Lx9O6lLY6bdCM5NAJVujqbPUt7MMG3jihuum16nkUnN6FrRBIuaxdcS0M26DV4/ch3WF+832r/u8d+xoi43ni82zWIlIfhTF0RFp9Zi/XFe/hj2injcXnqaExKugBSi7WUs2pzrZ6nqRCDY5RUTiHgoCJtRKv4O+8IXju4Enl1TXkZqaFRmN1nMh7f9ROP4nENi0qPLdTHOleAhR12CovH/d3HY23BMX5B6B6Zgsvb9UekPNT8KLZ/Z+lJ7Co7iRNVBXxlsnahsbg8bTAyVHHwZQrqy7Cx5CAX7gxVIobH9sScgwuxqfSgnUcIUElCkBgSgdP11gvmmMJvB0R1xZw+/+HRWYwNxXvw2pGvrJ7D0fq37HPvoErF/wY+1RZvkfAAVJ2TcGt0yJ6yXBQ31CAhJBz9Y9rxCI/+v7/Yit5+y0QwZ8ea35eJJHh1wFW4OLk3VuUfwNuH/0CpptosfKLGKBQ2qrit01jc2+Vin3MXafRavHPsF6ws2MmFlrnW2GcYLlGiRl9n9/NhEfgSJ3n37Plubj8FN2RM5PfLNFW4ZeuzVgv0GEuu2Xf3PNPzPxgW2+fc3yDhUXw+gYvwX5jID4rNaLG/b3Qq9pWdcWHlr7boawi8nO+Tu3/E/V2L8XHm32YRY5h0zGTLV1lrkRgSiRnpw9DW6Ax6bCo5jJzaIu4WGR3fE8nK5iUxgDpdA347uw2/521DiboK0XIVQsQynKot4AazKBrThZOJvmOa0urswZ7v17PrcW36RZCIJIiRR2BMwiCsK9pl/lys3D3c3298XqlIins7X0OiH6CQ8BNtxo0dh2NP2U8O26Qoo5DfUMH9+vY7302i5qwN+zc/c43NePTmMPG/Im0ICuorUKyuQow8DOmNLqBSdTXfFy1TIVFpu6igLbaXHsecg9+jQlvLE9fYpPX7x3/D5KRBeKLHdCgkxmUrK7W1eGDnRzhdV2xOnKqvZ4mIxttiLrrWiVT2MWbcOpuYZVRoa1CqrkJCSDS/f1/nq5FXX4Jj1TmNoyHjyICN4uIVUbggti/SQ5MwJmEwTegGMCT8RJsxMbknbugwDN9lb+MuCyaCDJ7JKwh4c/DVuDilFx7f9SPW5B+x4xZyJvgtxZ+9jimSyNHDChsqcfPmeThRnW9+nShZKE8uK9c2FZrrH90e93WZjL7RLUc1JrJrCvFF1mr8W3TAvE8nGMx2ryzYzUckL/a5kd9/5+hS5NaVWJVIsHoPrGRxq0ZCznv8JiwneFmc/Rv9Hsamkr1YVbCVr6wVq2BLKV6AkXH9rdoSgQv5+Ik2hZ1OLNuXif/B8rOQiSUYl9QNN3a8AF0ijCU5ihqqcOOGT1Girm5WEM78LM0qhDpGLDI09ZadtWXPbtGztnx50+uxnjBzefxv0O0YHNsywey3M9vw+pElLWxu/jyMRRfMQoRMias2vuLUBSZhy5C3ol4ue9/OJmczVEmYP+hJn5vbINwD+fgJr8AEZmxSN77ZIyEkAt+PvhufnViPZbm7Ua/XcrEdEd8ZCcpw/HF2D+89t/q1XWjDxNdSWy310OQ6YW1YlYJXDy3GL6MfN5cmYByqPG1D9E2vbl3PiI101hTuQ6/INBfmPUzGuNoPc+7aYqOLa9MmkOgTLSDhJ7xCXEg4Zve5BI/3moRKTT1UUgWUUmMp7rVFR1ChcTa5CWuh5T15415HMudoJGEaARjdRgLy6suxpzwHg2KaypC8c3SZo2e37vkDqNbWQ9zmy1645g6bmTEZ4xMHtfFrE4EACT/hVWRiKb8IWJIRGosqTb0LvWRjYWEugCLjhKdlKKctOXaWrdp8/5m6UrPwq/VaHK0669Qm06sxN1aKMga9ozJ4LL2msW6RbUyr2TpHJVGiT1R77Cw/DAnE0FsUx5CJpBiXOBAz2o1De1WyS89HBB8k/ITPcXXGUOyrsM4ybUmTn571qNkkrVQs4pE5luIfJg3BmIQe+DNvj8tzBpaEW0S2bC450qrHsgnuSckDESZVYlrqcPySu9HG5K7pvTivfhovj8JlqSMwrd1Inry1ryITf+Vvxqm6Av4aYxMGYkLiEMq0JZxCwk/4HJNT+uCPs3uxreSkXaFkmPzobAL5vcEz0SMyBbvLcnhoZrwiHL2i2iFEIudx9ttKT6BUU+M08sdyNMAeOzyuq/lYqbqmVe/jgS6XIloexm/f3XkqztaXYnNJUy/dlFzGE7fYLQcjkVf63IkL4qyLF/aP7sI3gmgtJPyEz8FCCt8ffBM+OfEvfjy1HTU64/qvrFffISwOx6vyUG/QQioSY2JyH9zeeQw6hhkrvA6J7Wjz+e7vOglzDi4273MlBv62juPM8w6MOIVrUWNx8gg80O0SXJzUtIocc/W82vcW7Cw7gb/ydqCwoRyxCpZQ1QeLslfy2HpTbD6DmyYCQsRyPN792haiTxDnA4VzEj4N86uzhVyY24TV22G9exb/X6NtQKhUzucIXOXTE3/j86x/zDVqmou/aZKYvdZtncbjzk4XWUXEMFsuX/8KanT1dl8jXhGBpaP/26pImmptHb49tQZ/nN2KWn09tyE9NAEXJw3G1eljzbV2CMIZVKuHIGzw55ndeOng4kYXkoVfXQDahyVgWrshmJIyAFFylc3H/5W3C68csp2dzFw37w/6DwZYRAG1Br1Bz6ubMhcT+emJc4Hi+AnCBpe0G8gzcn85vRU7yrJ4qQKWqXt9+5HIUDlfZGhqyiDuYvroxF98ItlEe1UCZnW/4pxFnyERSxAtt45wIgh3QD1+gjgHmLvpQEUOyjW1SAqJQveIdpQoRXgd6vEThBth0UT9o8+9d08Q3qStUwoJgiAIH4eEnyAIIsgg4ScIgggySPgJgiCCDBJ+giCIIIOEnyAIIsgg4ScIgggySPgJgiCCDBJ+giCIIMPvM3dNFSdYqjJBEEQwU9Wog84q8fi98FdXV/O/aWlp3jaFIAjCZ3SR1ewJ2CJtBoMBeXl5CA8Pt1ski10F2YUhNzc36Au50WdhhD4HI/Q5BNbnwOSciX5KSgrEYnHg9vjZm2vXrp1LbdkX6s9faltCn4UR+hyM0OcQOJ+Do56+CZrcJQiCCDJI+AmCIIKMoBB+hUKB559/nv8NduizMEKfgxH6HILzc/D7yV2CIAiidQRFj58gCIJogoSfIAgiyCDhJwiCCDJI+AmCIIKMgBf+V155BSNGjEBoaCiioqJstjl9+jQuueQS3iYhIQFPPPEEdDodAp327dvzbGfL7bXXXkOgM2/ePP7eQ0JCMGzYMGzfvh3BxgsvvNDiu+/evTsCnfXr1+Oyyy7jma3sPS9btszqOIt1ee6555CcnAylUokJEybgxIkTCDQCXvg1Gg2uvvpq3HvvvTaP6/V6Lvqs3ebNm7Fw4UIsWLCAf/nBwJw5c5Cfn2/eHnzwQQQyP/74I2bNmsVD93bv3o1+/fph0qRJKCoqQrDRq1cvq+9+48aNCHRqa2v5d84u/rZ444038P7772P+/PnYtm0bVCoVPz8aGhoQUAhBwldffSVERka22P/XX38JYrFYKCgoMO/7+OOPhYiICEGtVguBTEZGhvDuu+8KwcTQoUOF+++/33xfr9cLKSkpwty5c4Vg4vnnnxf69esnBDMAhKVLl5rvGwwGISkpSXjzzTfN+yoqKgSFQiF8//33QiAR8D1+Z2zZsgV9+vRBYmKieR+7wrOiTYcOHUKgw1w7sbGxGDBgAN58882AdnGxUd2uXbv48N2y1hO7z86DYIO5MJjLo2PHjrjxxhu5yzOYyc7ORkFBgdX5wereMHdgoJ0ffl+k7XxhX7Sl6DNM99mxQOahhx7CwIEDERMTw91cs2fP5kP+d955B4FISUkJd+3Z+r6PHj2KYIKJGXNpduvWjX/nL774IkaPHo2DBw/ySrfBSEHj793W+RFoWuCXPf6nn366xcRU8y3Yfsjn8tkwX/fYsWPRt29f3HPPPXj77bfxwQcfQK1We/ttEG5mypQpfO6LffdshPvXX3+hoqICP/30k7dNIzyAX/b4H3vsMdx6660O27DhqyskJSW1iOooLCw0Hwumz4b1ApmrJycnh/cEA424uDhIJBLz92uC3ffH77otYRFvXbt2RWZmJoKVpMZzgJ0PLKrHBLvfv39/BBJ+Kfzx8fF8awuGDx/OQz5ZVAcL5WSsXr2a1+Tu2bMngumz2bt3L/d5mz6HQEMul2PQoEFYs2YNrrjiCvNCPuz+Aw88gGCmpqYGWVlZmDlzJoKVDh06cPFn54NJ6NlcH4vusRcV6K/4pfC3BjZhVVZWxv8y/y4TN0bnzp0RFhaGiRMncoFnJzwL5WK+vGeeeQb3339/QFfqY5NV7IQeN24c9+my+48++ihuuukmREdHI1Bh7q1bbrkFgwcPxtChQ/Hee+/xEL/bbrsNwcTjjz/O49kzMjL4CnYsvJWNhq6//noE+gUu02JUwyZ0mSawea709HQ88sgjePnll9GlSxd+IXj22Wf5BLipoxAwCAHOLbfcwsO2mm///vuvuU1OTo4wZcoUQalUCnFxccJjjz0maLVaIZDZtWuXMGzYMB7iGhISIvTo0UN49dVXhYaGBiHQ+eCDD4T09HRBLpfz8M6tW7cKwca1114rJCcn888gNTWV38/MzBQCHfa7hw09YDphCul89tlnhcTERB7GedFFFwnHjh0TAg0qy0wQBBFk+GVUD0EQBHHukPATBEEEGST8BEEQQQYJP0EQRJBBwk8QBBFkkPATBEEEGST8BEEQQQYJP0EQRJBBwk8QBBFkkPATBEEEGST8BEEQQQYJP0EQBIKL/wehCsdv11PjpgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(data[:, 0], data[:, 2], c=labels)\n", + "plt.axis('scaled');" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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OgQUREVEHkjv99YnqZqnchKqiQtTWtLzUuqdhjgUREVEn+Pn5qa/V1c0XIfNEDCyIiIg6gYFFUwwsiIiIOoGBRVMMLIiIiBwQWMgK4MTAgoiIqFPYY9EUAwsiIiIHBBY1NY5fDdUVMbAgIiLqBPZYNMXAgoiIqBMYWDTFwIKIiKgTmLzZFAMLIiKiTmCPRVMs6U1uqdZUg/2lO3G26gTSKk+i3FiqHg/wCkKKfx8k+6diWOg4+On8e3pXichFlRtKsb90B06XHUPplNOw6M147uCTCPWOUO1Mr4B+GBI8Cl5aPTyJxiIrqXSjsrIyhISEoLS0FMHBwd35q8kDlBqK8W3OMmwpWgeDuQ5ajQ5mS9P6/TroYIIJXho9xodPweWx1yDcO6rH9pmIXEt2dTq+yV2GPcVbYIYZWuhgRtN2RnvuMX9dACZGTsf06Lnw9wqAK7P1/M3AgtyCHMY7ijfi4/S3VUAhH3ZbaOXjr/HCdYl3YGLEdLWwEBFRS0wWE1bnrsDK7E+k1bG5ndHIcupeQZif/BCGhIyCq2JgQR7DbDHjs8wPsCF/Vae2I70X8sHXaph6RERN1Znr8PapF3G4fG+HXq+BBhZYMCd+PmbEzIUrsvX8zRaUXN7yzAWdDirEtqIN+CjtDdX7QUTUuKfirVMv4kj5vg5vw4L6dmVF1iKszfsK7ozJm+TS9pfswLr8r1BXZcCu944g50Ahcg8WobasDjN+Px6D56Y2e83ej45h35ITKM2sgF+oD/pdkYyLHx0GvZ8XthatR7+gIRgXPrlH3g8ROR8Z/jhSvteudubYN2nY/eFRFJ8pg1anQXifEIy5axB6T47H8swPkRowACkBfeCO2GNBLqvKWIFFaW+oLsaaklps+99BFJ8uQ2T/0FZf88PLe7D+r7sQ0TcEU58ejb7TE7Fv8TF8+dONDc+RPA1JAiUikkTNldkfq+9tbWf2fnQMq365SV24TPrRCIy7fwjqKgxY8eQGnFidrtqsD87+B0azAe6IPRbksjYWfIcqU4XqYvSP9MN931yDgEg/5B4qwuLbv2n2/Mr8auxecBQDZ/fCFX+4qOHx0OQgFWycWp+J1KkJKvlzfd5KzE24tZvfERE5m29yPmv43pZ2Ruz96DhihoRjzsuTGxLCB1+TirdnLcfhL86g7/Qk5NdmY3fJFrfsHWWPBblswub3+V83jFt6eevUh70t2fsKYDZa0H9mcpPH+89MUV+Pf5NWv22YsalwtQowiMhzlRlKsKdka8PsD1vaGVFXaYBfmG+TWWY+gXro/b3g5aNT96XXYn1e53PDnBEDC3JJZyqPo8xYYtdrTIb6xkF37oNt5eVbfz/vcFHDY9WmKhwrP+iQfSUi1yTFr2ydUtpYwphonN2crYZEyrIqUHS6DGuf36GGQ0bO76+eIxdF6dWnUFRXAHfDoRBySWlVpxqmb9kqLCVIfc3eW4CkcTENj2ftzldfK/Kqm9S3SK865dJzzomoc6QNaKn4VXum/ny0yseQIVa5Cd9QH1z36jTEjYhs9jvCvZs+5uoYWJBLyqo+a3dgET0oHDFDI7Dz3cMIjPJD4rjo+iuJP++A1ksLY+35xkO2m1F9pov2nohc5QLG3qDC2gsamhKEwBg/9JqcAEOlQeV3ffn0Rtz45nSV1yUkaMmsPosRoePhThhYkEuSoYqOdFHO/vskrPzlJnz37DZ1X6PTYNRtA5C5Kw/FZ8qbBBYy64SIPFe1qbJDr1v5802qbZn78pSGx1IvTcD7136Jzf/Zhyv/Mkk9JikYHf0dzoyBBbmkjpbeDoz2x01vz0BJWjkqC6rVlYMkY711xbKGoRIrWWeEiDyXlOK2V2lGBc5uysZl/zeuyeO+IT6IGxmFrL0Fnf4dzs793hF5hGCvULWYWEdJQJEwOloFFYWnSlFZUIOk8TFNcixC9GEO2lsickUdaQOqCmvUV4u5+TCt2WiGxXT+cbPFgmB96/UwXBUDC3JJif691QqlnSUf/h/+uVeNiQ67se/5x2FBkn/vTm+fiFxXsn8fuy9gQpIDodFqVOXNxssDlOdWqUTxqAHngxVZxizJz/3aGQ6FkEvqFdCv2WMytau2wqAKYYnTG7IaZnqMuLkffIK8sf5vu2CqNSFyQKiqaXF05VnkHizE5c9OQFBcQJPAoqXfQUSeQ9oAWTLAnnbGP8wXg6/pjYOfncJnD61Fn8sSUVdlxP6Pj6sE8bH3DGrYliSgu+MFDAMLckmxvgkq0peZG9aZIbs+OILy7KqG55xck6FuYuBVKSqwiBoQij0Lj6mAQvrrYodE4LrXpjWZfiof90jvaKT4n+/BICLPMzRkNHy1fqgxn5+Kbks7M+2ZsYjsF4qDy09h0yv1C5fFDA7H5c9dpGpcWIdbh4WMhb9XINwNl00nl7W96Ht8ePa/XbLtGxLvwpSoWV2ybSJyHZ9nLsTavC87NAutPY/3/T+16KGr4LLp5PZGh01Eol9vFfk7imwr2icOEyOmO2ybROS6psfMhZ8uQA1bOLKdGRo8Bn0DB8MdMbAgl6XT6HB7yqNQfW4O6neTYZU7ej0GL63eMRskIpcW4BWIW1MesqsYX1skQPHW+uDm5Ps7PG3e2TGwIJclo3h71x9AwI7Ycw90fpvzkx9SmeBERFZDQ8Zgdtw8hwQVOo0OD/b5uVtOM7ViYEEuyWw2Y8WKFdi6dSu8s4MxxTxH9TJ0ZFhEXiOldaX3Y0LE1C7ZXyJybVfEXoe58beq4KBDRa0sgI/WF4/2/TX6BA6EO+OsEHI5JpMJy5Ytw4EDB1RX4ty5czFy5EhMrZ2OD8++itOVR1Wo0G6ylfxYC8T7JeOOlMcQ65fYXW+BiFzQ9Jg5SA0cgA/P/BcFdbk2rVekPdcW6XMDMSvsFrcPKgRnhZBLMRqN+OSTT3D06FFotVpcf/31GDLkfFa12WLGwbJd2JD/DY6V72/4YFvHMuVoty4q5FXgh8lRMzFnxI2qe5KIyBYGcx12FW/GhvxVDYsVSq+namU09RU1pfiVBB4ypTS6qBd2frkPvj6+ePzxxxEY6JpTTG09f7PHglxGXV0dFi9ejFOnTkGn02HevHno379/k+doNfVzw+VWZihRqxNmVJ1Gpalc5WQEeAUh0a8XMvflYuumHShPrYNuJIMKIrKdXuuthk3lVlibh/Sq08isPqMWR9RotAj2CkGSf6q6SfKnuZcZ2bsKkJ2dje+++w7XXnst3BkDC3IJNTU1WLhwIdLT06HX6zF//nz07t12xTpJjpICN3K7UOKwYmxdu0MFKRKFs/eMiDoiwida3UaGTWj1OVqtFldddRXeeust7N27F6NHj0ZycjLcFZM3yelVVVXh/fffV0GFr68v7rzzznaDivaEhYU1fLD3768fMiEi6iqJiYkYNWqU+v6rr75SCejuioEFObXy8nK8++67qgvR398fd911l/qAOsLw4cPV13376kvuEhF1pRkzZqiLo9zcXOzYsQPuioEFOa2SkhK88847yM/PR1BQEO655x7Exp6rWeEAgwcPVrkaeXl5yMnJcdh2iYhaIhdHl112mfp+zZo1qKiogDtiYEFOqbCwUAUVxcXFCA0NVUFFZGSkQ3+Hn59fQ/Iney2IqDuMGTMGcXFxqK2txerVq+GOGFiQ05FuQgkqJKlSggkJKiQnoitYh0Mkz8KdxzyJyDlotVpceeWV6vs9e/ao3DF3w8CCnEpmZqbKqaisrFTDHnfffXeXztjo16+f6rmQLkmZIUJE1NWSkpJUUT93TeRkYEFO4+zZs2r2h0wtlQRNmf0REBDQpb9TciyGDh2qvudwCBF1dyJnTk4Odu7cCXfCwIKcwokTJ/Dhhx+qIli9evXC7bffrnoSuoN1OOTIkSPq9xMRdbWAgABMmzatIZFTemndBQML6nFyQv/oo49UuW4Zmrj11lvh4+PTbb8/ISEB4eHhMBgMOHz4cLf9XiLybGPHjkVMTIzqpXWnRE4GFtSjZPhhyZIlamExmf558803q8qa3UnWEWFNCyLqbtpzFTnF7t27kZGRAXfAkt7UKUW1FThSlonj5TmoMtZCp9Ei2jcEg0ISkBoYDb229UNMxhW/+OIL9f2IESPUKqXyQesJElisW7cOJ0+dxPH8dGSYy3C6Ig81JgP0Wh0S/cMxMDgByQGR6j0SETlCcnKyav+k1Lckct5///2qHawzG3GiPAdHy7KQX1MGk8WMQL0v+gbGqvY11Ltr8886g4EF2c1gNmJNzkEsSduE/SX1U6W00EB7bgVRo6U+w9lP542rE0bjxuSL0Dswusk2Nm/ejG+++UZ9P27cODX9yroCaU/QB/mhbGAwdnkX4Kudr6rHJICQPZLlf+VDLcK8A3BD0gRcmzROBVBERI5I5Dxy5IiqMLxi21ocDirHl5m7UGs2qp97nbuYkVVTzeeWaR8Z1gvzUi7GpdGD4aV1roUUuWw62eVASTp+t28J0qsKVTBhPchbIydnOSnfkjIJj/a/HD5aPTZs2KB6B8SkSZMwffr0Hg0q1uUewp8OLEWpoao+imhnV+R9y/t6tP8VuKXXJPZgEFGnrd+yEf8+ugppMeaGdrMt1vZXLtqeGz4PA4Ljneb8zcCCbCKHyfunN+C/x75WQYBEzvbQQIM4v1DMq+mH41v2qsckI3ry5Mk9FlQYzSa8cHAZPs/c2dAzYa9hoUl4cfRdCPH274I9JCJPcLI8F0/ueEcNeVjsbA7r+1WBpwbOxs29JsIZzt+81CKb/O/Eavzn2Nfq5GtvUCEssCC7qhj/rduGSh8LZs6ciSlTpvRYUCFXA7/ZuxgrMuvnj3c0uj5YmoEHt72BMkO1Q/ePiDwnqHhg6+sorCu3O6gQ0msht38c+QLvn9oAZ8DAgtr1TfZevHlyTae3Ix8agxdwYLQeI8eNQU9688RqrM490OGAwkqCrLOV+fj1nkWqV4eIyFaVxlr8aMc7qDbVwuSA9uOVY6vwfV7PT5ln8ia1qbC2HC8cXK4624zVdcj5ZAsqjmah8mg2TBU16P2T2Yi8vH6qptWpf3yBwu/2N9uWb2I4hv3vIRSaq/D68W/x5MD6aVbd7UhpJt45WZ/jYbLxPW2/8vlWtxc8qhfMf56vej/mJo7t8v0nIvfwryNfqTZWehxsbYuExWxB/le7kbdyN2oyiqD18YJ/agxSHpyBP+g/xceTf9Kjw7MMLKhNbxz/DtWmOnVlbyyrQtbCH+AdHQz/1GiU70tr9XUavQ69ftw0cPDy92kYFll4ZiOuSxqvpm92t78d/rzhe1vfU++n5zR7rOpYNnKX70Dw6N7q/kuHv8TlscPh5+XdhXtPRO7gWFk2PsvY3nDfnvb19EtfomjtQURMH4qYOWNgqjGg6mQu6koq1bDsO6fW4cc9dOEmGFhQq8oN1fgya3dDdrI+LBAjFzwBfXggKo9l49CT77b6Wo1Oi8jL6tfgaIlWo8XS9G3dfvDLh9k6Rdae99TSezktH3wNEDF1sLpfaarFNzn7cA17LYioHZ+mbWky+8PWtqhow2HVI9z3/65H2KQBzX4uvR/L0rfh4X4z4Kvzdo0cC1l9UtZxiIiIUGs5DBs2DDt27OiavaMe9W32PlWzwkrr7aUOeltZTGaYKmtb/Jl8mJanb293SpWjrcjc0WR6qL3vycpcZ0TxD0cRNCwZ3lHBDTNflqZtdej+EpH7qTUZmly02dMW5SzdhoABcSqokCERU03z9Y2qTHVYm3sQLtFjUVxcrOoOyDTBlStXIioqCsePH0dYWFjX7SH1mH0laapnoSMnf3OtAbtueFF91QX6IuLSwUi8dxp0fucjaLnCl8TH1MAYdJfdRWccEsyUbj+pxkAjpg1peEyGeI6VZ6uKed5tVBwlIs92ojxHtRP2kgu1ymNZiL56NDLeXYfcz3fCXF0Hn9hQJN5zKcKnDGooqLW/JA1Xxo9CT7Cr9fvLX/6i1pF/5513Gh7r3bt+fJncsxhWR07CEnXH3ngRAvrGqoi6dOcp5H2xC1Wn8jDwr7epYRKrw6WZ3RZYSO/LyYpch2yrcO1BlUcSdsnAJo/L30umj0nJXSKilhwuy+xQ7Zya7GL1oqL1hwGdFklysRbgg9zl23HyhWXQ+XsjZGwfVf1Y2u+eYldg8fnnn6v6AzfddBPWr1+vVoV89NFH8cADD7T6mtraWnVrXGCDXENBbcf+rZLuubTJfemt8E0IR+Z761H0/RF1X8iQREFtObpLaV2VQ3or5KqhZPtJhIzrA69A32Y/z68twyAwsCCilkkhLGn/rMsf2MpcY1BfjWXVGPTSnQgcWN/OhF7UD/vu/i+yFm1SgYXIq+m5c61dORanTp3Cq6++qpa2/vrrr/HII4/gRz/6Ed57771WX/P888+rSl3Wm/R4kGvoSCGs1sReN04yNlG250yTx7szx8LU6aoV9Yp+OApLnbHJMEiT39PNeSNE5Bltq9a7vi9Ahj6sQYWQIebQCf3UMInkttX/DrNrBBZmsxmjR4/Gn//8Z4waNQoPPvig6q147bXXWn3NM888o8p/Wm/p6T3XPUP28feqnx7qCFofPbyC/GAsr27y4QrQOe53tMdRv0umeUn3Y+j4vi3/Hgf+3YjI/QTqfTsUXOgj6pM7vUKb16iQxyxGc0MypyPb7y4NLOLi4jB4cH03ttWgQYOQltb6fFsfHx9VU7zxjVzDgOC49tbjspmpqlbN09aH+DdJduwXHIvu/DBH+QR1aht1RRUo23dWZWRbrx4u1D8orlO/g4jcW9+g2HYXcGyJd0QQ9GEBMBRWNPuZoagCGm8v6Px81Pohg4ITXCOwkBkhR48ebfLYsWPHkJKS4uj9IicwOCRRzQqxdxqmBBEXylr0g0o6ChmT2vCYBC39u2FFvsaGhiY3LNrTEUXrD0lXS6vDIJE+QQj1DujEHhKRuxvYiXZPZn7U5ZehdNfphscMpVUo2XwcwSNSoNHWt28DezCB3K7kzaeeegoTJ05UQyHz5s3Dtm3b8MYbb6gbuZ9pMUPx1sm1TR7L/XyHSl6sK6xPuizZegJ1BfXfR88do6ZgHnz8HYRPHQS/pAj1eOnO02p6ZsjYVIRe3F89ptVoMC68DwK9mic/dqXpsUObze9u7z15Bfg2mQ0i3ZFBw5sH0/Kerogb0eXvgYhcW4RPkFoZ+WBJRpOeC1vaoribJ6ok+BN/XIrY68erYdn8L3fDYjIh8e6p6rmyzctiWi9Q6FSBxbhx4/DZZ5+pvInnnntOTTX95z//idtuu63r9pB6TP/gOAwNScKh0vMHf86n21CXV9rwHCkSJTcRcdkQ6AJ8ETq+D8p2n0HhdwdgMZvhGx+GhLunIvaGCQ3RtIwvzku5uNvf07SYIQjW+zVZjbS992QNLKozClF1PAcx149veB+NyXu6Pml8t7wPInJt85In4jcli5s8ZktbJEMhA/9+O9LfXIPcz7argCJgYIJadkDWC5Ee2bERfZAUUH9h1xM0lm5ektHW9dzJOWwpOK5W33MkmWaVGhiN9yc+3qQKZndZdOYHvHTkS4duUz7MM2KH4Y8jb3HodonIPRnMRszf+C9kVBc6dAaeeGPCgxgZ1gs9df7msunUposi+2FOwphO5SW05Nnh83okqBDSUyI9MY76/VLKWxJDfzZ4rkO2R0TuT6/1wnMj5sGRMYW0RTenXNwlQYU9GFhQu54aNBspgVEOOxH/dNDVKiu6p8j7+MOIm1V+R2cDJs253Io/jbgFoT24TDERuWaC/BMDZjmsXZOZfI/2m4mexsCC2iUn4P+Ouw8pAZEdPhFLJC1kNdMbky9CT0vwD8dr4x9AiLd/hwMmjaX+9sLIWzEhsp/D95GI3N/tvSfjoX4z1PcdvcyRdlku1v499l74efXMiqZN94fIxizmty56BHPPLQluT4Ahz5Wr+RdH34lbe10CZ9EnKAYfTHwc4yL62P2hlucG1Ggw8YAewVktr+BKRGSL+/pchr+MvBVBej/oNHa0reeee1PKRXhj/IPqQskZMHmT7Lat8ATeOrEGu4vP1B/YlvrpTY15nauD76/zxrVJ43Fvn2lqNoYzko/A19l78c7JdThdmad6MKQc7oUfDOt7ivAOxC29JiElE1i/Zh30er2qQhsZGdlD74CI3EFJXSXePLEGn2fuQI3JoNqiC5cIkF5S1TZpgLHhqXig73SMCu/tVOdvBhbUYacqcrEu95BaofRIWSaKKsugMVuQGByFkZG9MSIsRU3v9NX1fNecLeSjIEsNbyo4hkMl6ThRkYtakwFeWh2S/CMwJCQJYyJSMTGyv3pMnv/BBx/g9OnTiI2NxX333QcvLy6XTkSdU2WsxZrcg9hffBYHStPVomVyqeOv80GiJhjlxzIx0BSOXz/8FLoTAwvqdlLTRP5d77//frXyrScoLy9Xa+VUVVVhwoQJmDXLMYlYREQtkdXC//rXv6q1ux5//HFERHRfvQpON6VuZ71aNxqN8BRBQUG45ppr1Pdbt25VJe6JiLqKrL9lXUbj+PHjcEYMLMhhdDqd+moymeBJ+vfvr3orxPLly1UvBhFRV+nXr34WGgMLcnue2GNhNWPGDJVnIUMiUvZeuimJiLoysDh79izq6uqXSXcmDCzIYTw5sJD3fsMNN6gZIpLMuWnTpp7eJSJyUxEREQgLC1O9w6dOnYKzYWBBDuPJgYWQ6aZXXnml+n7NmjXIyMjo6V0iIjek0WjQt29fpx0OYWBBDuPpgYUYOXIkhg4dqqaifvrpp6ipqenpXSIiN83tEidOnFDtjTNhYEEO46nJmxdeScyePRuhoaEoKSnBF1984XQfeiJyfSkpKepiTqaA5uXlwZkwsCCHYY9FPV9fX5VvIUHGwYMHsWfPnp7eJSJyM3q9Hqmpqep7Z5vmzsCCHIaBxXmJiYmYNm2a+n7lypUoKCjo6V0iIjfT91yehQyHOBMGFuTwoRAGFvUmTZqE3r17w2AwqHwL/l2IqCumnaanp6O6uhrOgoEFOYTkEUg1+yK9Bmery1FUUwVPp9Vqcd1118Hf3x85OTn47rvvWnye2WJBWnkJDhXl4VhxAcrquFoqEbVPcrmioqJU+3vy5EnkV1fiSFE+DhflIaeyvMfyu7hWCHVYtdGAFacOY9mpQ9hXkIMKQ9NCLVF+ARgXnYCb+g/H1ITeDUv8ehoZ/1y0aJH6fv78+Sqbu7S2Bp+cOICVZ47iQGEuakxNezMSAoJxcVwybuk/HGOiE1S+BhFRY0azGS9+8SlWpJ9AUYA3Ki1NE+dDvH0wIioe1/cZjCt7DYCPrnOLJHIRMuoyJrMZbx7cjn/t3YxKQx000MDSbJHxejqNBiaLBfEBwXjuohmYkVw/JuhpVq1apdYS8fb3Q93EkVhwYj8MZlMrf7Wmf7sBoZH486SZKsAgIrJYLPj89GH8cdta1UuhsVhgaeXiQwuNWhk1xNsXPxs9GbcNHNnhizwGFtQlpMv+sbXLsb8w167XWQ/ua1MH488Tr4C/3jWWUncUya/449tv4FOUoUKvbTOgaCnAkOGSB4eOx9NjpsBLyxFMIk9VWluDn238Ct+mnYCEB/aewCfEJOLlqXMQGxBk9+/m6qbkcMdLCnDNig9ULoC9JKgQEmXPX7UY5R6WR7A9PwuLfKpR4SW9O/aRXgt5zRsHtuHRtctVTwcReZ7Cmirc8OUCrEk/qe53pFdgR14mrv3iA6SXl6KrMLAgm0h32y0rP0JZXY060XWUXHnvL8zBg6s/U997SkB2z7efwGA2t9pdaQv5a32bdhy/3vSNQ/ePiJxfncmEO7/+GKfLijrVBstrpT2fv2pRlyWKdy6TgzyCjJbJyaykthqG6hqUrVqP2lPpqDudDnNlNSLuvQmBl4xt8pry9VtRuXk3DDn5MFdVQxcaDN8BqQi9Zga8IsOxOScN7x7aiXuHNH2dOyZXPbn+C9XLYKyx7W/XmMVoQvbv/glDdh5C512FkFlTseT4flyR3M9j81WIPNEr+zbjUFEuTDW17bYjFrMZlZt2oWrXAdSdzYK5sgpeUeHwHz8CIbOmwKTXI6uyHH/athZ/uWSWw/eVPRbUrq/TjuObtOMq0jVXVKL089XqRKdPimv1NXVpWepAlhNhxB3XIfCiUajefxTZz70CY3GZes4LO9Yjs6L+e3f1zqEdaujInr9dY+Wrf4CxqKTJY9Ln8fONK1F1wSwcInLfXs9X9m5WvZa2tCOWOgMK3/4YpvJKBF16EcLmz4F37ySULvsWuS+9rS4Wpcd48fF92Jyd5vD9ZY8Ftev1/VtVFrEciLqQYCS+9H/QhQSh9nQGcv7w7xZfI8HEhfxGD0HOc/9G5aadCJk9DSaLGR8e2Y1fjJ0Kd+2teOPA9ob7tv7trExlFSj5fDWCr5yqGgQraVyKaqtVvsot/Ud06Xsgop739sGd6oLC1nZE46VDzK8egW/fXg2PBU2dAK/IMNWW1Bw6Ab8h/VRiuORuydR2R2KPBbVJiq3szs9uyIfQ6L3UAd0RclALc1X9ip9yFb/g6B41duiOJMFKxjKt7P3bFX+yEvrYKARcPLrZz6SReefQLoftKxE5p/K6Wiw9eaAhr8KWdkTj5dUkqLDyHz1EfZXeDiHbXJdxChkVjk3kZGBBbfo+63SnCluZKirVlbdE1tI1J3wH92n4uSQPdWSWiSvYkHUaXpqOfcRk/LTyh50Inz8HLf35pYk5WpzPCqdEbm5nXiZqHXTxZSotV191gQFN2pJNDh4O4VAItUnqVXSm5mPGT/4sRRzU99pAf4TdOhd+Q/o3/Fy2LbNERkbZlnPgSvbkZ8NoMdv9Ohn/LFqwXCVa+fRNgbGgqM1/H6lqSkTu6UBhbkOxvM4qW7keGj8f+A0f0PCYXPwcKMjBvH7DOr39hm06bEvklo4W5XfqgI556l5YDAbV9SazRCy1TRMOdVotTpa0fuJ0ZadKO/a+KjfugCEzB1GP3d7m8yQoO1lSyMCCyI2d6mA7cqHSL9ao3IrwO66F1t+v4XG5+JHkUEdiYEFtunANC3v5Dqof9vAbPhB+o4Yg+zcvQuPrg+DpE+ufYAFqO/k7nFVHClmZq2tQ/OkqBM+aAq/w0DafK0NUjuoiJSLnVGsydrrmT+W2vSj57BsETh6HoGkXN/t5tYPbYOZYUJs6u2hNY/roCHgnx6Nyy+7zD2rkd9Qvt+5uvLT2v6+yVRsAkwn+40aoIRB1K6pPrJL56nLfcm5oSdoabzf92xFRPfmMdybPrfrgMRS8uVhd3IXf2Xy2nvDROraPgT0W1Ka+oRE4UVrosCqZZoMRkFujBc16B4fDHfUKCsXh4ny7XiM1KySAkJ6dC5V9uVbd4n7/pArQpEx6anD9TBsick+9OvEZrz2ZhvxXPoBPr0REPnIbNC1ciEiORZ9Qx7bBDCyoTcMjY7Hq7DG7XmMxmWCuqYUuwL/ZTAdDRg4CJow8/1wAQyNj4I5GRsXjeEmhXQmcQTMmwX9U/ZQwK5lVU/T+UgRMGqN+Zp22K4ZGxjp0n4nIuQyLiO1QnpshKxd5L7+j2ouoJ++G1lvf4vOkfZJ23pEYWFCbJsWlNOutKFu9SZXpNpXUV82s3nsYxuL67npr7kTmz56H/7jh8E6IgcbHWwUUFRt3QOvni5C50xu2FaD3xpBw9wwsJsWnYNGxvXb97XxSEgC5NWKdFaJPiGmYhy4do9LTE+V3ftoYEbmfMdEJakVjKbhncxus0SL3xbdU72fwrKmo3nekyTb1URFqxpnVxbGOLZDFwILaNCwyFoPDo3G4KB/1a2zW5wGYCosbnlO18wAgNwCBF49S64JIklDNkVOo2rkfljqjekx6KkLmXKbWChEyheqW/sPh6+Weh6Gs5xHm44fi2uqGx9r72zXO1m7P3YObF84iIvcS4uOLa3oPwrJThxp6LtprR4TpXG5WyScrm21Tej8lsJA2+KLYZKQ4eEhVY5FJ893I1vXcyXksP3kIT274wuHblYN69fX3d2oM0dn9e88mvLh7Y4eWN26N9FYE6n3ww7yHEezt48AtE5Gz1rKY8/l7Dm1HrN65/EZMS0x16Pmbs0KoXXNTB2FEYLhEoQ7d7lOjLnHroEI8OGw8eoeEqyDKUeRf4Y8TL2dQQeQhhkbE4L4hY6HpVLnCpqRNurrXQJuDCnswsKA2mUwmrFq1Cv2PZkFvqb9adsQBPTwiFg8PmwBPmK778pSr1XQxR/zttNDgql79Mbf3IAdsjYhcxU9HT0bvkDCHXKTINmSY9rmLZ6ArMLCgVlVVVeHDDz/Etm3bEGiy4FdJQ+Gv9+7UgS2vTQ0Jx3tX3KQSkjwlT+W1y66FTqPt1Hx0KVyRqvPBi5fMhsaBPSBE5Pz8vPRYOPNmxPoHdboNDvb2xUdXzke4b9OZe47iGS072S03Nxf/+9//cObMGXh7e+Pmm2/G3VfMxtLZtyE5KNTuq2/r86ck9MYnV92GMF/bkxTdwfSkvvhw1jxE+PrbHVxIL4XoX2nGxNPF2PLDD120l0TkzGIDgvDZ1bdjbHTTmWP2GBAWhWVX365qFHUVJm9SM4cOHcKyZctgMBgQFhaGW265BdHR0U1KzL68ZxP+d2CbmgLV1gEkJ1GZrhrq44vfjp+O6/oM9uirbVnN9U/b1uLj4/tVtNVW4THrwkPxAcF4ftJMBOUWY8WKFepn119/PYYNc9yiQUTkOswWCxYc3YPnt61FlZTjlmaklWbV+rC3zgs/GnExHho2ocO9xbaevxlYUAM5FNatW4cNGzao+6mpqbjxxhvh59dy70JxTTU+ObEfy04ewtHigmaFoKTrbmRknJpSOqtXf4eWB3d12ZXlWHR0D746cxSnyoqbBRiSmDkuJhG3DRipFhmTxdrEN998g82bN0On0+Huu+9GYmJiD70DIuppHy7+CKvSTyA7NhQZ5rpm6y7ptToMDo/CDX2H4ro+QxDUyYRvBhZkl9raWnz22Wc4evSoun/RRRfh8ssvh9bGyLbOZMLJ0kKU1tWoXIJIX381N7pTOQUeotpoUKuUlhvqoNdqERcQjPiAoBZ7dsxmM5YsWaL+nQICAnD//fcjNLTtxcqIyP1UVlbixRdfVG3Cww8/jMioKJwuK0ZRTZXqwJBe4j4hEQ7NZbP1/M1LSEJRURE++ugj5Ofnqyvhq6++GiNHni+7betCOYPCzw+XkO2kZ8fW0twS6MkwyNtvv63yYBYtWoR7770XPj6cekrkSfbt26eCivj4eMTE1Fcvrs+b6LrcCVsxedPDnTx5UiVpSlARGBioutftDSqoe0ky7fz589W/V15eHpYuXaoaGCLyDBaLBbt3168SPWpUfaVNZ8LAwoMPTBmrX7BgAWpqapCQkIAHH3yQY/YuQrojJanWy8sLx44dw7ffftvTu0RE3SQzM1NdDMrnf+jQoXA2DCw8kNFoxPLly1UioAQY0kMhPRVBQUE9vWtkBwkGr732WvX9li1bsHPnzp7eJSLqBtbeisGDB8PX1xfOhjkWHkaSbxYvXoysrCyVHDhz5kyMHz/eo6eAurIhQ4agoKBAzeb56quvEB4ejt69e/f0bhFRF6mrq8OBAwecdhhEsMfCg6Snp6t8CgkqZArp7bffjgkTJjCocHFTpkxR3aHWGSOFhYU9vUtE1IV1hiS4kBpDKSnnlz53JgwsPKjr7L333kNFRYUqdvXAAw+oOhXk+iQwvOaaa1R+jOTLLFy4ENXV55dqJyL3GwYZOXKk014UMrDwgEXEVq5cic8//1x9P2jQINx3330q2iX3IUlcUnZdkjpl+rD0XMi/NxG5j8LCQqSlpamAwpln7zGw8JBFxMSll16Km266SU1XJPcj009lGqr8+8oaL5Jz0c3174ioG3or+vTp49QFJhlYeNAiYlOnTnXarjNyDCmUc8MNN6h/5127dqnZIkTk+sxmM/bu3evUSZtWDCzckCT3vPXWWygpKVFDHjL0MXDgwJ7eLeom/fv3V+XYhUwptpZpJyLXdeLECZUj5+/vjwEDBsCZcbqpkyiprsHqoyexPysH+7NyUVJdra46owICMCwhBiMT4jCtfyr89HqHLSJG7kvWepFpqNJrIZU5pey3teyvdW2XDSfOYHd6ljrmssvK1UqqwT4+GBIXg6Hx0Zjevw+igwJ79H0QeYqzRSVYe/wUDmbn4nBOPqoMBrXOR3JYKIbFx6Dy1Am1Bsjw4cPV0gvOjIuQ9bC0ohK8unErVhw4AoPJrA4kWYq8MetjAd563DRqGB6aNA7hAf4OXUSM3I8kb0pl1dOnT6vPnCxYBr0eb23eiYU79qpgtrXjzWQ2q8D2ioF98cglEzAwNqrH3geRO9tyJh2vbdyGzafT1KKNMlgtQb6V3JfH5bEAixn3ThyHh6ZNgr4HgguuburkZJnsD7btxt9Xb1SNeOMDqS06jQYBPt54bvYMXDm4f4uLiM2ZMwcjRozo4ndArkCmncqwmGSTGyJjsL5Oi4LKqmbLtLdGp9VAnvro5Al46JLxarE5Iuq8itpa/OXbDViy+4Bq1209B0ig0TcqAn+7dhYGxXbvwo8MLJyYwWTC08tWYeWhYx16vRxY8o/24MRxuCYlFp9++qmqXyAluSVJU0o9E1lJUPHU629jq8mr4dixl7xuXEoiXrvlGgRwVhFRp+SWV+CuDz5Rwx+2BvmNSSAiPYov33g1ZgzoA2c7f7OfvJvJQSRBxarDHQsqhPUwfGPTdvxi4ScqqJDiSFL0ikEFXeibMxkqqBAdvYqQ1+1Iy8TDHy1X+RlE1DHFVdW44/2PkVbcsaBCSO+G9HT/6OMV+P7kGTgbJm92s4927lM9FebaWhT9sBY1GWdRk5kGc3U1Yq67BSGjxjd5fnXGWZTt3o6ajDTU5mbJnCP0f+7Fhp8f0Pjg4tQU3HXLTapIElFjR3Ly8dzKtTYfb6I2Pxf5K5ehOu00NDodAvoPRtSsa+AVEIjtZzPw3w1b8eNpE3vk/RC5ut9/tRoZxaUtDn3UZKWj4LuvUJN+Rg1B+iWlIPKKOfCNa37BKK+WwOSpT7/C14/djYgL8u56EnssulFGSSle+Ha9+t5UVYmidd+gLj8PPjHxrb6m8thhlO7aqvqi9WERLXZRL88vR42paQIekSRlPr18VX0ymI3Hm6G0BBlvvQJDUQEiZ1yFsInTUHnsEDLfew0Wo1E1Zq//sE1lrhORfb4+fByrDh9vJajIQPqb/4ahuAjhl85ExKWXo66wABlv/wd1BXktbk+2UlVXh999+R2cCQOLbiTZ+NYMfF1QMFKf/j1Sf/obRM2c2+prQsdPQt9f/QkpD/8E/n3qkzUvPLDyKyqxdO/BLt13cj3fHTmBY3kFqhGz9Xgr2vAdzIY6JN79KMIumoKIqTMQN+8u1OZkoXTPdvUcCVRe2cDCW0T2sFgseHHNRvX5aUnh6pXQ6PVIfuBHCJ90KcIvuUx9L68r+O7LVrcrn+9vj55UvZPOgoFFN6morcPSPQdhMtdHqlovL3gFtZ+86hUYBK2+/WQ5mWHC8s3U2Afb96hpavYcbxWH9qmhD33o+bVkAvr0hz4iChUH9jQ0ZGuPnUJ2aXkX7j2Re9melokzRSWt5jlVp52Cf2p/6PwDGh6Tz6x/rz6oPHpIDWe2NXtr4c76qpwuH1i88MILKjP1xz/+seP2yE1tOHEaNUZjl2xbDtS04lIczS3oku2T6ymsrFLJlvYkhxnKSmCqrIBvfFKzn/kmJqMmO7Phvnzuvz5y3GH7S+Tuvjp4VNWIaY0MNWpbKIAovRgWkwm1edmtvlYuWL84cMRpLi47HFhs374dr7/+uqoCRu07kJ3b5kHlCPs57k2Njjd7mcrreyBa6tnwCgyGuboK5nPBsfSDHMji8UZkqz2Z2c2K0TWmj4xGdfpZWBo9R4INSdwXxrLSNrdfWWdAenHbz+kuHTrTSb3y2267TS1yxeW3bSMlWts6qDpLgpYjuc4zxkY9S8ZbZa67PcwGg/qqaWF2kfUxy7nnyHCIlAInovaZLRYczyts8zmST2cozEfussWozctBbW42cpYuhLGiTP3cYqz/7LXlsJOcAzo0P/Gxxx7D7NmzMWPGDPzxj39s87lSalpujQtseCIpn9yVpAusrKZrfwe5jvLa2oYywLaydsPKVdKFrI9Jt2zD76hpfcyXiM6rM5ravbAMHTcRxtISNS287FyitE98EsInTVNJ1VpvH7SnzEk+k3YHFlI6WhY2kqEQWzz//PN49tln4em03bBauU7DXFyqJ0GFvaOtuqAg9dVY3jz4l6smrZ+/SgJt+B1ch4bIoe1/pEzxnnQp6vJyoPX1VVPDC76tnxEiCdTtkSROZ2BXy5Ceno4nn3xSLWzk6+tr02ueeeYZVf7TepNteKKYoKCGDP2uIMl0kYHOUyCFelZkYABMFvuG3vTBodAFBKoiPReScV6f2KZFeqICz2evE1Hr9FJozrv1lakb0/n5wy8ltaHeTOWpY/AKDoV3ZPvrgkQGBLheYLFz507k5eVh9OjRqsqj3NavX49//etf6ntZTfFCPj4+qqZ445snGhof0+r8ZUeQbjZZ7ppIDI6NVpX77BU4eLgqiGUoLW54rOrkMTX2GzR0RJOcnhEJsY7aXSK3ptFoOtQ+l+/fjdrMdIRePAUaG3oIh8Z176JkDhkKmT59Ovbv39/ksXvuuQcDBw7EL37xC6dfI74njUyIbTbeXbz1e5ira2Asr8/krTx6EMbS+u9DL7oEOl8/GEqKULZnp3qs9tyVZOG6b9VXqTUQPHJsw/aGx7Ohp/OBxYVLottyvIVPmY7yg3uR8c5/EXrRFFjq6kuBe8fEIbhR+W/Z7siEuB54Z0SuaXRSPHamZbaa91R15qSqjuvfZwB0/v4Nyzn49x2IsIsmt7v9uOAghDtJWW+7AgtZPXPo0KFNHgsICEBERESzx6mpCb2SEB0YgLyKyobHin9YB2PJ+SvDikP71U0EjxhTH1gUF6Fwzcom27Le9+vVRwUWMsQyNjkBCaGe2RtEzfl763HVkAH48uCRhqJsthxv+pAwJN37GPJXLldju/VrhQxSa4U0zq/w1Xvh8kF9e+CdEbmm64YPxmsbt7X6c6/gEECjRfEPa2Guq4U+NByRl12JsIlT1eewLXIOmDd6GJwFV63qJjqtFneMH4kX1/7Q0EWd+pPftPs6/959myw61tpUpjvGjXTUrpKbuG3sCHy+/3DDfVuON+ETHYvEux5q9ecyjfXGkUO5fDqRHXpFhGFi72RsPZveEOw35h0e2ebnri2SvnfTKOe5uO90Wve6devwz3/+0zF74+YuS4hBoBwEDqyOJlnA0lsxYyCvHqmpkYlxmD2kv931LNoiWwrw8cajkyc4bJtEnuKXl0+tL5XsQPKZfPSSCU6VTM35Yt1Aakz88MMPWPTB+5hgqoTFQQ29bMVLq8MLc2d26YwTcl2/mXUZgnx9HHZ8SJv47FXTnWqJZiJXMSAmEo9PvdihF5Z9oyLw0CXn85+cAQOLLlZeXo4PPvgA3333HcxmMy4dPADPTL+k09uV04RWq8G/b7oaSWEhDtlXcj9h/n743/zr4K3TOSS4ePiS8Sp3g4g65pah/dFHkhA62XMtPZFhfn54/ZZr1XRWZ8Iciy509OhRLF++HNXV1dDr9Zg1axZGjRqlph75+frg91+tUQGCPdURrVGqnChevvFqTO3bu8v2n9zD8IRYvH/njXhg4WdqlV17jzcJSCSP50dTL+YQCFEnVFRUYOGCBRhXVwa9TwiOGCzqHGBviCGfyfiQYLxz+w1OmbSvsXTzcmhS0jskJEQVy3LXmhYGgwHffPMNduzYoe7HxsbihhtuQGRkZJPnHc7Jw9PLVuF4fmFD491ehConhYt6JeH5uVeoA4vIVkWVVXh25RqsOnxcBactJZA1ZVH/RwX44aUb52BcSmI37SmR+6mursa7776rakHJOVBKNWzKzMVvv/xOleC35UysO3eeuHPCKDw1bRL8WlgN1RnO3wwsHEwOmk8//VR9FRdffDEuu+wyVUCsJQaTCV8fPo4Ptu/Bnoz6ZXEbr4Iq/zwSTEhUO6VvL9w2dqT6Kr0eRB2x/WwGFuzYq447aaQkqG08TGKtfRHv74vEimJMjI/Cw/ffz2OOqINqa2vx/vvvIysrC4GBgSqoCA8Pb1hH6tM9B/DBtj3ILitvdg6Qz6jcfLx0uHb4YNw6dgQGxrRf3rsrMLDoZvJnlPVTpKdCKpBKfY/rrrsOffr0sXkb2aXlarnrQzl5KK2uUY29FDwZEheNYXExTlP8hNyDHGMHs3NxIDsPeRUVMJstCPLxUQlmQ+NiEKbX4eWXX1bH81133YVevXr19C4TuWQP9oIFC3D27Fn4+fnh7rvvRnR08wqZEjyczC/Ewew8HMsvQLXBqAIMGeqQipqDY2NUfZqexMCiG1VVValcimPHjqn7/fr1wzXXXKOCCyJX9uWXX6ohPQmQb7/99p7eHSKXYjQa1cKdJ0+eVMtb3HnnnYiPr18DxBXZev5m8mYnnTp1Cp999plKypGS5pdffjnGjx/PbmNyCxMnTlRrBEnDmJ2djbg4lvEmsoXZbFbD4vLZkeT9W2+91aWDCntwumkHSfewTCGVqaQSVEhi5v33348JEyYwqCC3ERYWhiFDhqjvpRYLEbXPYrFg2bJlOHLkiLrgvOWWW5CcnAxPwR6LDigqKlKRqCTiiDFjxmDmzJkqKiVyN5MmTcKBAwdw6NAhdexbk86IqOWg4osvvlALdmq1Wtx0001ITU2FJ2GPhZ0HzJ49e/D666+roMLX1xfz5s3D1VdfzaCC3JZMl+7bt686/jdt2tTTu0PktOQz8s0332DXrl3qviTwDxjgeQXlGFjYqKamBkuXLlVJmnV1dUhJScEjjzyCQYMG9fSuEXW5Sy6prxYrgbVUkyWi5tavX48tW7ao7+fOneuxq35zKMQG6enpKqgoKSlR+RPTpk1T3cPSzUXkCWR8ODExERkZGdi6dStmzJjR07tE5FQkB0kCC2GtsuypeGZsJ6t3w4YNeOedd1RQERoainvvvReTJ09mUEEeRQJqa6+FTD+VHjwiqic1jCSZX1x22WUqid+TsceiFTJPV3op0tLS1P1hw4bhqquuUnkVRJ6of//+iIqKQn5+vgourIEGkSfbu3cvvvrqK/W9fCYmT54MT8fL7hZI9vtrr72mggpvb2+VgHP99dczqCB4eq+FDAEKGUeWioJEnn6ukLw7IfWLpLeCGFg0IUmZK1aswMcff6y6ehMSEvDQQw9h+PDhPb1rRE5BktGk4l5lZaW6UiPyVMePH1dlB2QmyMiRI1VeBWsYucFQSK3BiOOZBTiSlov80kq1OlygnzcGJEZhYHIMQgJs72HIyclRB0lBQUFDl9all16qipsQUT35PEg1zlWrVqmpp6NHj0ZhWRUOnc3FyexCVNcaoNNpER8RjEHJMegdGw4vHa9fyL3OIWfOnMGSJUtUHp4UkJszZw6DClcPLA6n5WLJ+r34atsRGIwmtfKnNGZCFlKyLj8+bkASbrl0JCYPS221cZNoU7p1V69erappBgUFqaGP3r17d+t7InIVku2+eu167MmswHW/fQvphRXqcVmKXTWulvMrpAb6+eCGycNw4+ThSIgM6eE9J+rYOWTK8FToziXsy8yoRYsWqXVAJO9IzhdM5nfhRcjKq2rw94/XY8WWQ6oRM5nb3nVZHVQOkP6JUfjj3bPQNyGyyc+lFLeMj504cULdl0ImMvfY35+riBK1Zuvhs/jF/1agrLpOmpB2n6/V1j/n/isn4L5Z46H3Yi8g9YyOnkOkB+OP98xCgNaI9957Tw2Vy8WnrP/h5eWS1+cd4narm0qE+aNXlqG4orohmrSVHEDSAD4z/zJcf8kw9ZgEE1LLXcaK5cCQktxSmpvdWUQtkyu5lz/7Hh98t7OhwbWHfLL6JETiP49fh6jQwC7bT6KuOYcAY8KNiPOqRFJSklrtV5L7PUmZOwUWckDc/4+P1XiYvQfEhZ6+aSrCDfkN1dGio6Nxww03qK9E1DJpJv68cDU+3bi/U9uRBjo6NAjv/vxmRIUwuKDu4ZhziLxOg0sSvfHXn97nkbMEy2w8fzv9wFBpZQ0e//dnDgkqxN+kG2z99obpQQ888ACDCqJ2LFq7u9NBhZCu57yScjz16ucwncvDIOrqc8hjDjmH1PdabMyow74zeQ7bP3fk9INDf128FqVVNW0eEFX5Gcje8TUqc07BbDLCJygCEYMvQvSwKS0824LdZf7478OzMGLo4C7ddyJ3kJZXjJc/29jqz8+uWYSiY/XBekuG3P5beAeGNgkuZBbJh9/twl1XjHX4/hI19pfFa1DWxjmkpiQf2dtXojLnNIy1VfAODENY31GIGTENWn3zoQ4ZBvzte1/j09/dhQBfzxoKcYvAYu+pLKzcfqTN55SlH8WplW/CLzIBsaOvUAdCbVkhDBWlrbxCg1qzBptOl2CEZ64PQ2SXFz/ZoKbVtSZy8MUISuzX7PH0DZ/AOyisSVDR2H8//wFzLx6MsCAmS1PX2HsyC6u2H23153UVxTi29J/Qefsicugl8PLxR2XuGeTs+BrVBRlInXVfs9dIgFJQWon3v92BR+ZM7OJ34JqcOrBYsm5vm5m7proanF2zEMEpg9H7irug0dg2siMHhkw1kix1ZqgTtS6rsAzfHzil5ve3JiC2l7o1VpF9CmZjHcL6jWn1dUazBcs3H8TdV4xz5C4TNVi8bk+b55CiYzthqqtGv2ufgF94bEOgLAd80bEdqgdDgo2WziEfb9jHc4ir5ViUV9fim53H2pwOVHx8F4zV5Ygff5UKKkyGWlgsZpvH3b4/cNqBe0zkfr7YcqhDM6Xksym9g2F9R7eZEPrJhn2d3EOi1s8h3+5q+xwiF6dC79c0kdjLP1hq2EOjbT1oKKmoxkaeQ1wrsDh8Nrfd5K7yzGPQevuirrIUhxY9j31vPYN9b/1KdcGajW2vY+Cl1WLfqSwH7zWRe9lzIhOWdub6X8hiMqH41F7Vi+ETHN5uj4g00ERdcw5p+9gNiu+jvqatX4yqgkw1NFJ8YjcKDm1C1NDJ0Ol9Wn2tFF3cdzrb4fvtDpx2KORwWl67c+VrSvNlcj1Or3obEQPHI3DCbFRknUD+gY0w1lWj94w7Wn2tVAY8eCa3i/aeyPVJj8KBszlqkp09yjKOwFRTibB+rfdWXPhZv3hwSof2kagz55Dg5EGIG3clcnZ/h9IzBxsejxk9Q/WEt8VoMuPA6RyH7rO7cNrAIq+kQlXsM5taPyjMhjo1jhs5eCISL7lePRaaOhxmswmFhzajZuws+IZGtfr6nOKyLtl3IncgDWeFqq5p/zCIdCGH9Rlp82edqCfOIUISjAPjUhHaezi8fANQmnYIubtWQ+8fpHot2pJbXO7gvXYPThtY2DLfWKvTq68yNaix8L6jVWAh2b1tBRbtdZMRebKOfD4kz0mu/IKSBqhG2hZtzTgh6spziAx7pG34GINveaZh9pJcnEryZtaWL1WOUFvHMc8hLpZjEejr3WYmutAH1Ff+8vIPavK417lEHFNt22O3skASEbXM20vXUMrYVqWn96texPA2ZoNcKMCPtQCoa84h7ck/+AP8IxKaTYkO6TVEHceSd9Hm7+Cx61qBRb/EyHaTN/2jEtVXQ2XTmhWGqvohDi+/1iNNaTAHJ8c4ZF+J3JF0I6fGRdj1mqLju6DV+yAkZYjNr+mf0HqvIlFnziEynNcWY1V5izMJLdbXmU1tnkMG8RziWoGFLSf90HNjuIWHtzZ5vPDwFmkVERTft81uskHJLOVN1JZhveNs7rUwVFeomVohvYe1WLGwJb7eXkiODuvkXhI1Z8tJ3yc0CtUFmagpaVqiu/jELjXd1C8ivtXX8hzigjkWCZEh6BsfgZPZha0OifhHJiJ84HgUHdmmos7AuD5qVkjJqb2IGTUd+oCQVrevgQaXjqifakRELZsxuh+W2rhGSMnJ3WqWVriNs0EkYJHtW5dVJ3KkRBvOIVK2uyztCI4vfwVRQy+BzicAZWcPoiz9CCIGTmj3HDJtZOsXr57MaXsspCjPLdNGtZtnkTz5JsSOnYmq3LPI3LRMRZ8JE69B/ITZbTZoU4anIiasaW4GETU1fkAy4iOCbR4GkfymoIT+Nj1fEt/mTbVt5ghRV5xDAuP7oP+1T6iLVMm3kHOILAkRN/4qJE25sc1zyNQRqYgO5Qq9LrdsenWdATc8+x7yiiscsrKplcxtfv8X8zE4heNjRO35Yush/Pbdrx26TWmYx/ZPwn9/dH2HKnsS2UKdQ37/npp6ynNI57nFsul+3nr84a5ZDj0gpA27e+Y4jzsgiDpq9vhBmDSkl90zRFojW5H1FX53xxUMKqjrzyF38xzS3Zw6sBBj+ifiodkXOSzKHJEajwevmuCQ7RF5Ajn5SxAQGRLgkOBCmvjn7pqJ2HAORVL3nEMe5DmkWzl9YCHkoLhnZv0KiJpORJnDesfiX49dC2+90+asEjklCSre/Mk8RIUEdjjZUhpluT1390zMGG1bHgaRI8jF6d1XjD13r2O9FzyHuFlgIVdMT1x7Cf5875UI8PW266pJGkE5IO6YMQav/fhGFsUi6sRMrQW/ug3TR/ZT9+0JLySgkGTpN566EVdPGNxl+0jU2jnktimDMS68Fl4aOR5h9znkzsvH8hziDsmbLSkorcQbX27Bii0HUWcwQavVNiukVb/wTP1j4/ol4PHrpqj5+ETkGGt2H8ef31uBotr6XgiL/GdpvvqjFCgKCfDFvKkj1Li0jHkTdTcpG//OO+8gIyMD0QkpKPJPxBdbDrV5DhFyepQF8h66+mKeQ2D7+dvLFbtkf3XrdPzoukvw3a7j2H86G/tOZaOwvEodPBJNSlJNTWEmfCtzMWdcPA8IIgdL8Ddjclg5anT+SBo+EUfS83Aso0Bl4XtptWqKqnzuRvVNUPViJFmTqKds3rxZBRXe3t649abr1Mnxyesmt3kOkduMUf2QGNW03De1z+UCCyv5x7920lB1a8nu3bvx+eef4+DBg5g8ue0V6ojIPrt27VJfp40fgSuumNTTu0PUqry8PKxdu1Z9P2vWLBVU2HIOITfPseiIgQMHqi6u3Nxc5Ofn9/TuELlVd+jx48fV96NH21Zlk6gnmEwmLFu2TH3t168fRo5kQbbu4LaBhZ+fH/r2rS+3euDAgZ7eHSK3Ib2BMvacnJyMyMjInt4dolZt3LgR2dnZ8PX1xZw5c1g3pZu4bWAhhg4d2hBYdHOOKpFbks+RBBaCvRXkzCSg2LBhg/r+qquuQlAQ66Z0F7cOLAYMGAAvLy8UFRUhJyenp3eHyOWdPHlSZYTLFeDgwZw2Ss7JaDSqIRBJxpTj1HqRSd3DrQMLyQDu37++EA+HQ4gcl7Q5fPhw6PWcOkrOad26dSpp09/fX/VWcAike7l1YCGskarMDuFwCFHHVVRU4OjRo+p7DoOQs5JppZs2bVLfS15FQEBAT++Sx3H7wEISOKXnQrpv5YAjoo7Zu3ev6lpOSEhATAwXYCLnYzAY1BCIXERKr5rMDqTu5/aBhXTXWg8uDocQdYw01NZhEPZWkLNavXo1CgsLVaKm1KygnuH2gcWFwyFyxUVE9jl79qxKgpbePybCkTM6c+YMtm7dqr6fO3euKjlAPcMjAovU1FR1kFVWVqoGkojss3PnTvVVggoJLoicSW1tLZYvX97Qo2atYUQ9w2VLettDp9Nh0KBBqitXhkN69eqFwqIKlJZVqzUaQ0P8EBEe2NO7SdTjwx35hRUoL6//XISH+SMsNABVVVU4fPiwes6YMWN6ejfJw47J3LwyVFTWqlVGIyMCERzUvCfi22+/RUlJCUJDQ3HFFVf0yL6ShwUWYuDAwVj57V68t/gwXv/gNMorapr8PCTYD0MGxmPmjKG45KK+8OKiSeQBauuMWPf9UXy79iAOH81WDXhjoSH+iI/1g85iwZCBMYiL44J+1LWqqmrx7dpDWLPhCI4ez0F1jaHJzyW4GD40CVfPHI7RI5JVbRVrj5oMgfj4cFnznuZyy6bbS97el1/vw+vvrEdZuQQT8nZbntMsEbHZbFGN6SP3XYqZ04dw/jO5JTnOl325G2+9/3391aBGA3MrTYF8BORHwUHeeOqxWbhsCjPtyfGMRhM+XLIFiz7eippaY8Nx1xKdVgOT2YL42BCkxJXDz7sS48ePx5VXXtndu+1Rymw8f7t1YFFUXIk//u0L7NxjX16FhBLyR7loXCqe+clVKtAgchd5+WV47q8rsP9gpl2vszb0Uyb2x89/PAtBgb5dto/kWc6kFeL3zy/HmbMFqu2195jsnajDf156FAEBTNh0hvO32yZv5hWU45GffIA9+9Lsfq31wN6+8zQe++kClY9B5A6yskvw8FMf4NCRLLtfa70E2bjlOJ74+cJzOUpEnXPsRA4e/ckHSEsvtCuoaHxMnsk04VfPLUPNBcMm1DPcMrCorqnDU7/8CPn55aq7rKPktdk5Jfjpr5egtpYHLLm28vIaPPnLRSgpqYLJZOnUMMrZtEI8/ZuPVfc1UUdJYuZTv1qs8ig601ZLgLHvQAae/cvnrLDsBNwyefP1t9cjM7ukxQOssjwHZ098h4rSTNTVlkOr08M/MAZJvacgIqb5okpysJ9JK8DbH/6g8i6IXNW/X1+NgsIKFRhcqKTwJPZte6PF14286FEEh6U0eUy2cex4DhYs2Yq7bp3YZftM7kva5xde+grVVXUtHpMXSjuxBmeOf63a67GTf9Ls55IjtGnrSXz17X7MvmJ4F+01eWRgcfBIFj77on5Z55bUVpfAZKxFTMJoePsGw2wyID/nAA7ueg/9hlyPuOQJzV4j8cnipdsw/dJB6N+HpYzJ9ezYfQZfrznY7vPiUyYhKCSxyWN+AZEtPldOBe8t/AHTpgxAcmKEw/aVPMPXqw9i117bhqql3U47tQZaXfs1VP712mpMHN9HTZWmnuF2QyGLP90Gna71mRzh0QMxbNx9SOl3OeKSJiCh1yUYMeFBBATFIePM962+TmaMfPzZji7aa6KuteiTbeoYbk9IWC8VdDe+6b3bbqCXfl5f6pvInt6KhR9vVcmXtjh19EsEhyY3C3pbUltrxJdf7+/8TlKHuVVgIUmW328+bvf4sUajhY9vKIyG1pPRZJtr1h9mwhq5ZMKm9FjY0t0sjMZaWMy25U7IUKF0PVdV13VyL8mTHDiUibOSrGnDIVlSdEr1KvcZNMfmoGXpil02H+/Uw4HF888/j3HjxqkFXqKjo3Httdc2LKPsDHbvS7P5YDIZ62Coq0R1ZSEyTn+PooKjCI1ouwys0WRWCUJErmTHnjM2P/fY/o+x6dvf4vtv/g97t76O8tIMm64QpbgWka227z7TZs+ylcVixslDnyMucZzqVbbnIjM9s6iTe0ndElisX78ejz32GLZs2aJKqMoStVI+VdbgcAbHTuRCp7PtLZ068gU2r34O2zf8FaeOfInImCHoO+SaNl8j25apUUSuxJbPhUarQ2TMUPQZNBdDRt+FXv2uUInOe7e8qhKd2yJDLFIhkchWR47l2HQRmJ22BTXVxUjpZ3+ZbrbVLpK8uWrVqib33333XdVzIeVUp0yZgp6Wll4Ek8m21UsltyIydhjqasuQn71PRcbtdf+qaXYZjILJtUjRofY+F5JbITcrmSEVFTsMOzf+E6ePrVJ5Sa2R6rRp/FyQHWSmXXvDINKjfOb4t0jpOx3ePvat5SSBtJwPyAVzLKT6lggPD29z1Tmp1tX41lVqam0f5/UPjEZYZD/EJIzB0LH3qKGRgzvfbXMOtPysrs7ooL0l6h41HazBIrNBJMCQqagSeLeGnwvqyBo17Tlz7Bt46f0Qn2L/dGZJCq0z8Jh0ucDCbDbjxz/+MSZNmqSWUm4rL0NKgFpvSUlJ6Cre3h2fPStXZzKeXF1Z0ObB6q3n4mTkWjrzuZCkZovFpALvtj4Xen4uyA76dhZ5lHY4O30rElImoa6mDDVVReom5QHkeJTvDXVVrW/AIr/D7aopuIwO/+Ul10KWIN+4cWObz3vmmWfwk5+cL2YiPRZdFVwkJ4Zjx+6zNg+HNGY211/VGY1NVz1tTKvVIjGh9d4ZImfUKylCjWl35HNRU1UIrdYLOq/W6wdIJ18SPxdkh17JESgoLG91OKS2RnrDLTh5+HN1u9C29X9RQUefwXNbTbRPTAxz9G5TVwYWjz/+OL744gts2LABiYltzyuWJWy7axnb/n1j220862ormo3Xmc0m5GbuglarR0BgdKuvlW0P6MsCWeRa+veLVVNC7f1cVJRloTDvMMKjBqgp2W3lHg3ox88F2W5gvzhVHKu19jogKBaDR9/Z7PEzx75WBQ4loPDzbzuYHdA31mH7S10YWMhY6hNPPIHPPvsM69atQ+/eveFMRg5PbnOpXXH84FKYjDUICesNb98QVdY7L2s3qivzkTpwNnRePm1mvw8b0n6BFiJnMnpEcruJcof3LIROp0dwaAr0PgGoqshTXdFS8r73gFltvlaGQQYNiHfsTpNbGz0yGR8s3tzqz6Uom8zUu1Dmmfoe8pZ+1lhoiJ/qwSYXCCxk+GPhwoVYvny5qmWRk1M/nUdyJ/z8en652ujIIFw0rg+27TjV6oI2UbHDkZOxHVlpW2A0VKlAIjA4AakDrmpxrRArmXMty0WHh7FMLLkWKbc9Ymgi9h/KbHWKnzTUEmBL9VkJvOsb9qFI6Tuj1ZLe1s/FFZcNQWBA9/RKknsYNTwZ8XGhyJY1nRy8bbkAvHb2KJtLD5DjaSx2LAUn08pa8s477+Duu+926HrunSmS9eNffoSu8J9/3IahgxK6ZNtEXemHrSfwq2eXOny70iS89crd6NO79SFEopYs/3I3XvzPtw7frvSgffT2g4iMCHL4tj1dmY3nb7tCOolBWrrZGlR0VyQ8a8ZQm9ZFsJ0F8dFGHDu8FTU1rSd3EjkrWZRp8sR+Dv1cSFBxyw3jGVRQh1w9awQGD4yDzqFtNfDwvZcyqOhhbtlX9PiDlyEiPNAhB6w0xKEhvuiXYsT+/fvx2muv4cwZ20skEzkD6W386eNXIDjIzyHBhXy2UpIicM/tlzhk/8jzyFDFr34yG3pvL4cck7KNkcOTcP2c0Q7ZP+o4twwsggJ98c8XbkFwsJ9N9ehbI6+VnIrX/3k3Hrj/HoSFhakuoPfeew/fffcdTCbbFmoicgayjLR8LgL8fToVdMvnIiY6GC/++Wb4dKJGBlFSYjj++tyNqq5FZ4ILeW3f1Gj8+bfXO7i3mjrCLQMLkRgfhtdeugP9Ujs+DW5Q/zi8+tIdiI2pL+z10EMPYdSoUepnP/zwA958803k5+c7cK+JulbvlEi89tLtSEmOREeb3+FDk/DfF29XvYJEnTViaBL+/bdbER0V1GoeX2usT5fE+pfPBc3kYsmbjtDVyZsXknnSSz7bjncX/ICaWmOb01GtP/Pz1eP+Oyfj+rljWox+Dx8+jBUrVqC6uhpeXl64/PLL1aqv9n4oiHqK0WjCgiVb8eHizTAYTW1OR5XjWpoJabQfvm8q5swawWOdHK6mxoA33/++Ycnztk5N0i7Lc8JC/fHjRy/HpZcM6NZ99VRlNp6/3T6wsKqqqsW3aw9h1XcHcPxUHgyGpsMYUqq7X98YXHX5MEy/dBD8fFuvNCjKy8vVtNuTJ0+q+3379sU111yDwEBexZHrqKisxderD+Dr1Qdx8nQejMamBYtkqGNg/1hcdcVwTJs8AD4++h7bV/IMxSWV+Oqb/fj8qx3IzauE5YK+NT8/bwwZFK8C3Esu6guvdsqDk+MwsGiDlHvNyCxCaWk15JgNCfZHUkKY3fOe5U+3bds2lW9hNBrh7++POXPmYODAgV2270Rd2Yshq5SWl9eoz4VcDSbGh3PMmnrEsmXLsHv3XgwcPBaDBg9TSypEhgciLjaEPWY9xNbzt0dmXnnptOiV3HrRH1vJwT1hwgRVgXTp0qXIzc3F4sWLVR7GrFmz4O3ddq8HkTORK7/UXlE9vRtEihRg1GqBUSP6YODA5J7eHbKD2yZvdqfo6Gjcf//9mDixfnnf3bt34/XXX0dGRkZP7xoRkcuRGXfWxPiYGK5D42oYWDiINYnzrrvuUl1ERUVFePvtt7F+/Xq1xDwREdmmoKBAtZuygGVoaGhP7w7ZiYGFg/Xq1QuPPPIIhg4dqnIwZLE2KXkugQYREbXPug6V9FYwn8L1MLDoAr6+vrjhhhtw/fXXq4hbhkSkYqcMkXRzriwRkUsHFuR6GFh0oWHDhuHhhx9GSkoKDAYDPv/8cyxZsgRVVVU9vWtERE5LEuFFbGxsT+8KdQADiy4m44N33nknZsyYoaZLHTlyBK+++ipOnDjR07tGROR0pFeXgYVrY2DRDSSgmDRpkpo5EhkZiYqKCixYsAArV65UPRlERFRP2kfp1ZXciqgoTn92RQwsulFcXBwefPBBjB8/Xt2X4lpvvPEGsrOze3rXiIicKr8iIiICej0rvboiBhbdTD4oV155JW677TZV/lumVcliZrKoGaelEpGnswYWHAZxXQwseoisLSLTUqX8twQUUhb8gw8+UKVSiYg8lTW/gjNCXJdHlvR2FrK2yLx589Q01FWrVuHMmTMqsXP27NlqRoktaqrqsGXtIRzZm45jBzJQXFChlmgNDgtA/6GJ6D8sERdPH4zAYL8ufz9ERLYqL63GljWHcGx/hmq7yoor1RLTtYYK+ASbkJlUiZrRdfD159IIrsYjFyFzRlJAS9YbyczMVPclsLjqqqtUTYyWFBeUY/Eb6/D1pztUcKHz0sJ0wcqU1sf03jpMmzMK8x+ehtjE8G55P0RELclOL8JHr6/F2hW7Yagztdh2SU0sOTNJUDHzhrG4+cFLERYZ1GP7TPW4uqkLkiGRDRs2qJv8s8jf57rrrlPVPK3k8fVf7cW/f78MNdV1MJts++fT6rTw8tLigZ9fhatumaBmqhARdWf79sWiLXjzrythNplhMtmWU6bVaeDn74Mnfn8dpl41vMv3k1rHwMKFSaVO6b0oLi5W92Vxs2nTpkGn0+HNv63E0ne+b4joO2La1SPx0+dvhM5L59gdJyJqgdFgwt+f+Rjrv9zboddb27sb752Ce382i2W+ewgDCxdXV1en8i4k/8KaIW3Ii8KXC7d3etvymZShkZ+9cBM/oETUpeQU87efL8G6L/c6ZEkDGRa5+6mZDtk36przN5M3nZS3tzfmzp2L/v37q1Lgh3dl4uiGM60+32iuw+nCrSityUJpdTYM5hoMjb0KiaHNuw7ls73m890YPj5VjV8SEXWVVR9vx9ov9rT4M2mrMkv3o6gqDdWGUuh1fgj1i0e/qCkI8G45H0xyy4aN640xl/Tv4j2njuJAu5OT6ah33XEPzu5sO9KvM1bhZOEPqKgtRJBvtE3bfu1PK5Cfw+mtRNQ18rNL8PrzX7T681NFW5BbfhThASkYGDMDSaEjUFSVjk2n30F5bX6Lr9FoNfjHMx+jsqKmC/ecOoOBhQv4/qvDqK0ytfkcX69ATOv7OC7t+ygGRE2zabt1dUZ89u73DtpLIqKmPn3nexgMrbddvcLGYWrfRzE45nIVVPSJnIQJKbfBAjNOFW5p8TUWswUlhRX4+pPODwtT12Bg4QKZ1J9/uKndsUmt1gs+XoH2bdtkxqpPtqvZJUREjiTT4L/+ZIdqZ1oT5p8IraZpErkMgQR6R6KytqDV10lzKO0iqxU7JwYWTu74gcwuHa6orqzD7k1caZWIHGvnxmMdumiRi6haUxX0Xv5tPi83swQnD3OdJWfEwMLJHT+QoWZxdBWdTqt+BxGRIx0/mKmKX9kru+wgao3liAsa2PYTNfXtIzkfBhZO7tTRHFXcqqtIV+KJQ1ldtn0i8kzSrthaBMtKks8P5X6LUL8EJIQMa/eiiD0WzomBhZOrLKuG2dx1pUZkrLK8tKrLtk9EnqlC2hU7mq5aYwV2ZnwML60PRsZfC42m7dOTJHFWlld3fkfJ4RhYODmZWtXVurJHhIg8kz1tl8FUgx3pS2A01WBs0jz46m1bF4Rtl3Piv4qTC48KgrYLgwv58IeEt50kRURkbwJmQIiPTflhJrMRuzI+QVVdMUYn3YRAn0ib2y4uTOacWHnTyfUdnNBs5T9HNwCZ+cfxyiuvICUlRS14JregIH5gicg2JpMJOTk5OHPmDNLS0tQtr6Si3ZEQi8WMvVnLUFKdhdGJNyDML8H232k0o9+Q+E7vOzkeAwsnN3BEks3PPVu8U3Ul1hgr1P38ihMqu1okh42BXtfCEuwWIDBCi8LCQnXbtWuXejgiIqIhyJCAg4EGEVkZjUZkZmbi7Nmz6paeng6DwdDkOWGx3kjfZ2xzO0fy1iCv4gSiAvvCYKpGVumBJj+PDxna5usHDE/uxLugrsLAwsnFp0Ri4MhkHNuX3m4Sp6wVUmMsa7ifW3FM3URc8JAWA4uYhDA899fHkZGRrq425CZXHtZAY+fOnep5DDSIPHtRRAkeJIiQ3ghZgVl6KRrz9fVVbYP1Fh0djXsv/3ubdXjKanIbLoLkdqHWAgsZHh40MhlxSS2vJ0I9i6ubugBZFfAvP/vI4duVlU3v//mVuP7uyU0er66uVo1H40DjQgw0iNxXTU2NagOsPRLZ2dnNqlwGBASoz39ycnJDIHHhasmfvL0Bb/99lUNWNb3QMy/Ox5Qrmy+ySF2Hy6a7EZkL/rPbXlNVOO2dF94aifhjEsPw6vIfw8dX3+ZzGWgQubfKysqGIEJuubn1PQmNSbvduEciPDy8WSBxIam8+cjcfyIvq8Rh0+ZlJsiA4Yn4+4cPQavl/IPuxMDCzWSczsej174Mo8Gkak90ljQI/1j4sOpOtBcDDSLXJu1w40CioKCgxc+wtTdCbqGhoR36XYd2n8VPb3vNrpoWrZE4xkuvw2uf/1gNE1P3YmDhhrasOYTnnvhQVbXq7L/ak89dj1k3jXPIfjHQIHJe0sQXFxc3CSRKSkqaPU+GMhr3SAQG2reoYVu+WrwV//79sk4HFXJB9NtX7sCEaYMctm9kOwYWbmrL2sN4/qmFMBrNba4a2FYxmSefuw5XXD+2i/aQgQZRT5ImXXogrFM/JZAoL6+fHWYlJ+i4uLiGIEJ6Jvz8/Lp0v2SZ83+dCy460nbp9Tr86qVbMf7SdtYQoS7DwMKN5WQU4R/PfIIDO05Dq9PAbGpvSXWNGt9MHRiHp/8yD736x6I7SaAhjZs0dPK1pUAjMjKySR0NR14tEbkzSaqUnAhrb4QEE1VVTcv0Sy5CQkJCQyCRlJQEHx+fbt/X00ez8defL8GZYzkN7VJ7AYUEIcPG9cZPn79JzWKjnsPAwgMak+3rj2LFgs3Yuem4Gr+UD6HqLqwvT9FQWGvI6BTMuW0iLrliCHReup7edQYaRJ0g0zyzsrIaggi51dbWNnmOl5eXCh6sgYQEFXp920na3UXyxDZ+cwArFm7GoV1n1WOyCqq13ZIzkurR0ABjJvXD3NsmYuyU/kzUdAIMLDxIcUG5mjFy4lAmSosr1eI8QaH+6DMoHv2GJiIqNgTOjIEGUeuk8FTjYlRSQ+LCYlTS+yDDGdZky/j4eOh0PX8R0R6pcSFLn588nIXykqr6JQbCAtB3SAL6D01EaAQ/586EgQW5LAYa5Mmk96FxMSoJKi4sRiX5EI0TLWNiYnhFT12OgQW5DQYa5M6syc6Ni1Fd2CzL8WwtRiVf5Xhvr4YEkaMxsCC3xUCDXFlFRUWTqZ95eXnNniM1Ixr3SISFhTGQoB7HwII8BgMNcmbS1lmPTemZkDV4Wjo+rb0R8lXaSCJnw8CCPFbjQENuLZUnloa8cR0NBhrkCNKcFhUVNemRkLbuQrGxsU2qWsq6G0TOjoEF0TkMNKirSPMpQxnW3gj5KkMdjckQhszSaFxDoquLURF1BQYWRK2Q4kGNK4My0CB76sfIUFvjYlQSuDYm0zwTExMbeiQkkPD29u6xfSZyFAYWRDZioEGtMRqNzYpR1dXVNXmOFJ66sBiVFKgicjcMLIg6iIGG55LCU1KAqnExKgkuLixGZV1fQ/79JV/CFYpREXUWAwsiB2Gg4b5qamoailHJTXonZLijMX9//yZTP2UVUBajIk9UxsCCqGsw0HCPfzv5KvkSFzaBstKu9d9NbrISL2tIEIGBBZEzBRpRUVFN6mg4+/RCk9GEtMMZOLbzFHLP5Kv7vgG+6DU0Cf3GpCIyPhyuQJYLbzz1Mz8/v9lzpPhU4x4JKU7FQIKoOQYWRD0YaDQu2OVKgUb2qVx88do3+PJ/36GytH7pbZ1ep1aelCWu1aqTAPqMSMG1T1yFafMnwcev+5ffbok0ZSUlJU1mbEhNidb+9tY8CbZDRLZhYEHkJFwh0DDUGbDgD59i4fNL1dW6NYBojaxCKavoRiZG4OfvPoZRlw1Dd5OmS6pYNu6RkPalyX5qNE2KUclXZwniiFwNAwsiJ+VsgUZBZiF+OetPSDuU0SzfoD1arUb1ZMx7+hrc/8JtXTqEIPsmf6vGxagqKysv2B9ts2JUvr6+XbZPRJ6kjIEFkWvoyUBDgoonJ/0fCjKL2u2laM+cR67AE6/c77DgQpYKv7AYlcziaEzqRViLUcnfRWpIsBgVUddgYEHkoror0JCEzMcnPINT+8/CbOxcUGH1+L/vwzWPzerQa6VeRGZmZkMgIdNApa5EYxI0NC5GJb0TLEZF1D0YWBC5ia4KNBY9/xne/r+FQCstgNliwkkcRDbSYEQdAhGCPhiKCE1Mq9vU++rx1oGXEJfa+nOspIKlFKCyTv2U76WXojEZxmg8Y0PyJVhDgqhnMLAgclOOCDSKc0swP/lhmAxNT+SN7bdsRR4ykIx+8EMgsnEGZSjGGExFqCayxddovbS4eM5Y/P7Tp5v9TIYxrLkRcsvOzm5WjEr207p0uLUYFad+EjkHW8/f7EMkcjFSCXLQoEHqdmGgITdZbVPqNchtx44dDYFG44JdK99a02ZORamlCLlIRz8MQ4pmgHoszpKCLfgGx7EP43BZi6+TIZVNy7cjP6MQ/mG+TfIjJF/iQtJINe6RCA8PZyBB5OI61GPxn//8B3/7299UQzFixAj8+9//xvjx4216LXssiLpWS4HGhXb+6ziqi2tb3cZxyz6k4TimYi68NPqGx09bjuAkDuASXAVfjX+rU1EHXtULEWOaD8dIFUtrb4S1GBUReXiPxeLFi/GTn/wEr732GiZMmIB//vOfmDlzJo4ePaq6LYnIuXs0Mk5lthlUiHKUwB+BTYIKEYKwhp/7ouXAQupb5BzJV4GFtAmNeyRY2pzI/dndYyHBxLhx4/DKK6+o+zJGKlnaTzzxBH75y1+2+3r2WBD1rA1LN+EPN77U5nM2W76BN3wwRjO1yeMVljI1HDIQo5GoSW319QGh/liU+Rr8/Pwctt9E1LNsPX/blV4tWdw7d+7EjBkzzm9Aq1X3N2/e3OJramtr1c40vhFRz6korC/V3RYzTNCi+VLg2nNNhvy8LZUlVawnQeSh7AosCgoK1HSwmJimU8nkfkuJWeL5559XEY71Jr0bRNRzTJK02U5+pAQVLQUPZtQnfLYUdLQ0JEJEnqfLJ4Q/88wzqtvEepOiN0TUcwKC/VqtXWHlA1/UoWmVS1GH6oaft8XL2ws6r/aDDyJyP3Ylb0ZGRkKn0zWbNy/3pXBNS3x8fNSNiJxD7+Ep7T4nCKEoRj6MFkOTBM5SFDX8vM3fMSyZ00aJPJRdPRYyZjpmzBisXr264TFJ3pT7F198cVfsHxE5WPLABFUhsy3RSIAFFmTiVJNKnFk4i2CEtzrVVEhPxcDx/Ry6z0TkOuyebipTTe+66y6MHTtW1a6Q6aaywuA999zTNXtIRA4lJ/7J10/A+iWbYGpljZAQTQSiLYk4gQOos9Seq7x5FjWoxGCMaXcNkik3XtRFe09EbhdY3Hzzzaqi329/+1uVsDly5EisWrWqWUInETmvuY/OwpqFG9t8zhCMwyn4N1krZCQmIUwT1fqLNEB8n1iMuHSI43eaiFwC1woh8kDysX96+rM4sPFwq70WHfXMgidx2fxLHLpNInLTOhZE5B4ksfJnbz8KL73jlgtSC5DNHYtpt0xy2DaJyPUwsCDyULG9olVw0V5NC1uDiqiECDz1+kOcDULk4RhYEHmwS2+ehJ+99agKBrS6jjUH8joJKv6x7lmExXBRMSJPx8CCyMPNvHsa/rbmd4hMCIdWa3tvg/W5MgPkvzv+gpiUNpI6ichjMLAgIoyYOgRvHnwJ85+5HkFh9cud6/S6FpdEl2EP0Xd0Kp5d9nP8etFTCI4I6vZ9JiLnxFkhRNREXa0Bm5dvx/7vD+PItuPIOZ2n1hfx9fdBn5G9MWBsH1w0Zwz6jW59dVMicj+2nr8ZWBAREVG7ON2UiIiIuh0DCyIiInIYx1XHsZF15EW6VIiIiMg1WM/b7WVQdHtgUV5err4mJSV1968mIiIiB5zHJdfCaZI3ZZn1rKwsBAUFsUIfERGRi5BwQYKK+Ph4aLVa5wksiIiIyH0xeZOIiIgchoEFEREROQwDCyIiInIYBhZERETkMAwsiIiIyGEYWBAREZHDMLAgIiIiOMr/A9MfH0g7d427AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1]), cover(min=-12, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : a[1] * a[0]), cover(min=-200, max=200, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]+15)), cover(min=0, max=6, numcovers=7, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = MapperGraph()\n", + "graph = computeMapper(pointcloud, (lambda a : np.sqrt(a[0]**2 + a[1]**2)), cover(min=0, max=15, numcovers=10, percentoverlap=.4), sklearn.cluster.DBSCAN(min_samples=2,eps=3).fit) \n", + "graph.draw()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc_source/notebooks/index.rst b/doc_source/notebooks/index.rst index 75f4f1b..d6e487d 100644 --- a/doc_source/notebooks/index.rst +++ b/doc_source/notebooks/index.rst @@ -14,3 +14,4 @@ This section is for adding example jupyter notebooks. example_graphs.ipynb interleaving_basics.ipynb compute_reeb.ipynb + compute_mapper.ipynb diff --git a/doc_source/notebooks/mapper_basics.ipynb b/doc_source/notebooks/mapper_basics.ipynb index 47aec47..b289f66 100644 --- a/doc_source/notebooks/mapper_basics.ipynb +++ b/doc_source/notebooks/mapper_basics.ipynb @@ -42,7 +42,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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", 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", 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" ] @@ -117,7 +117,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -154,7 +154,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -177,7 +177,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -201,29 +201,19 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 7, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Original vertex 7 maps to new vertex 1\n", - "Original vertex 15 maps to new vertex 2\n", - "Original vertex 16 maps to new vertex 3\n", - "Original vertex 17 maps to new vertex 4\n", - "Original vertex 18 maps to new vertex 5\n" + "ename": "TypeError", + "evalue": "MapperGraph.smoothing() got an unexpected keyword argument 'return_map'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[7], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m M_n, map_induced \u001b[38;5;241m=\u001b[39m \u001b[43mM\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msmoothing\u001b[49m\u001b[43m(\u001b[49m\u001b[43mn\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mreturn_map\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[0;32m 3\u001b[0m M_n\u001b[38;5;241m.\u001b[39mdraw()\n\u001b[0;32m 4\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mlist\u001b[39m(map_induced\u001b[38;5;241m.\u001b[39mkeys())[:\u001b[38;5;241m5\u001b[39m]:\n", + "\u001b[1;31mTypeError\u001b[0m: MapperGraph.smoothing() got an unexpected keyword argument 'return_map'" ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ @@ -243,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -274,7 +264,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -299,7 +289,7 @@ ], "metadata": { "kernelspec": { - "display_name": "base", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -313,7 +303,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.13.4" } }, "nbformat": 4, diff --git a/pyproject.toml b/pyproject.toml index c472f03..98ad507 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -2,7 +2,7 @@ [project] name = "cereeberus" -version = "0.1.9" +version = "0.1.10" authors = [ { name="Liz Munch", email="muncheli@msu.edu" }, ] diff --git a/requirements.txt b/requirements.txt index 2243954..e1fa66f 100644 --- a/requirements.txt +++ b/requirements.txt @@ -11,3 +11,4 @@ myst-parser sphinx_rtd_theme flake8 black +scikit-learn diff --git a/tests/test_computemapper.py b/tests/test_computemapper.py new file mode 100644 index 0000000..56b2953 --- /dev/null +++ b/tests/test_computemapper.py @@ -0,0 +1,70 @@ +import unittest +from cereeberus import MapperGraph, computeMapper, cover +import networkx as nx +from sklearn.datasets import make_circles +from sklearn.cluster import DBSCAN + +class TestReebClass(unittest.TestCase): + def test_cover(self): + #Checks to see if the cover generating function is working + examplecover = [(-1.125, -0.375), (-0.625, 0.125), (-0.125, 0.625), (0.375, 1.125)] + testcover = cover(min=-1, max=1, numcovers=4, percentoverlap=.5) + self.assertEqual(examplecover, testcover) + + def test_computeMapper_trivial(self): + #checking the simple two point graph (mostly to check if the trivial clustering function works, it has been the problem child of this whole project) + examplegraph1 = MapperGraph() + examplegraph1.add_node(0,0) + examplegraph1.add_node(1,1) + examplegraph1.add_node(2,2) + examplegraph1.add_edge(0,1) + testgraph1 = computeMapper([(0.6, 0), (-0.1, 0.5)], (lambda a : a[0]), [(-1,0),(-0.5,0.5),(0,1)], "trivial") + check = nx.utils.graphs_equal(examplegraph1, testgraph1) + self.assertEqual(check, True) + + def test_computeMapper_nontrivial(self): + #checking the default graph for the compute_mapper notebook to see if it remains the same + data, labels = make_circles(n_samples=500, factor=0.4, noise=0.05, random_state=0) + testgraph2 = computeMapper(data, (lambda a : a[0]), cover(min=-1, max=1, numcovers=7, percentoverlap=.5), DBSCAN(min_samples=2,eps=0.3).fit) + examplegraph2 = MapperGraph() + examplegraph2.add_node(0,0) + examplegraph2.add_node(1,1) + examplegraph2.add_node(2,1) + examplegraph2.add_node(3,1) + examplegraph2.add_node(4,2) + examplegraph2.add_node(5,2) + examplegraph2.add_node(6,2) + examplegraph2.add_node(7,3) + examplegraph2.add_node(8,3) + examplegraph2.add_node(9,3) + examplegraph2.add_node(10,3) + examplegraph2.add_node(11,4) + examplegraph2.add_node(12,4) + examplegraph2.add_node(13,4) + examplegraph2.add_node(14,5) + examplegraph2.add_node(15,5) + examplegraph2.add_node(16,5) + examplegraph2.add_node(17,6) + examplegraph2.add_edge(0,1) + examplegraph2.add_edge(0,2) + examplegraph2.add_edge(3,4) + examplegraph2.add_edge(1,6) + examplegraph2.add_edge(2,5) + examplegraph2.add_edge(4,7) + examplegraph2.add_edge(4,8) + examplegraph2.add_edge(6,10) + examplegraph2.add_edge(5,9) + examplegraph2.add_edge(7,11) + examplegraph2.add_edge(8,11) + examplegraph2.add_edge(10,13) + examplegraph2.add_edge(9,12) + examplegraph2.add_edge(12,16) + examplegraph2.add_edge(13,15) + examplegraph2.add_edge(11,14) + examplegraph2.add_edge(16,17) + examplegraph2.add_edge(15,17) + check = nx.utils.graphs_equal(examplegraph2, testgraph2) + self.assertEqual(check, True) + +if __name__ == '__main__': + unittest.main() \ No newline at end of file