{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basic tutorial: ``Interleaving`` class" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This class encodes all the information needed to figure out an interleaving between two ``MapperGraph`` instances. \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from cereeberus import ReebGraph, MapperGraph, Interleave, Assignment\n", "import cereeberus.data.ex_mappergraphs as ex_mg\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding the best bound for interleaving \n", "\n", "The interleaving distance $d_I(F,G)$ gives a measure of similarity between two mapper graphs and is defined by $d_I(F,G) = \\inf \\{n \\mid \\exists \\text{ an }n\\text{-interleaving } \\varphi, \\psi \\}$. \n", "Details can be found in the follwing papers:\n", "\n", "- Erin W. Chambers, Elizabeth Munch, Sarah Percival, Bei Wang. *Bounding the Interleaving Distance for Mapper Graphs with a Loss Function*. [arXiv:2307.15130](https://arxiv.org/abs/2307.15130), 2024.\n", "\n", "- Erin W. Chambers, Ishika Ghosh, Elizabeth Munch, Sarah Percival, and Bei Wang. *Towards an Optimal Bound for the Interleaving Distance on Mapper Graphs.* [arXiv:2504.03865](https://arxiv.org/abs/2504.03865), 2025. \n", "\n", "\n", "The `Interleaving` class is set up to find an interleaving between input mapper graphs $F$ and $G$. While we cannot guarantee that the interleaving found will indeed achieve the interleaving distance, this at least can promise an upper bound. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Start with two example MapperGraphs\n", "F = ex_mg.interleave_example_A()\n", "G = ex_mg.interleave_example_B()\n", "\n", "# Plot the two MapperGraphs\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n", "F.draw(ax = ax[0])\n", "ax[0].set_title('F')\n", "G.draw(ax = ax[1])\n", "ax[1].set_title('G');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Passing in the two mapper graphs and then fitting will return the best found interleaving value. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The found interleaving bound is d_I(F,G) <= 4\n" ] } ], "source": [ "# Interleave the two MapperGraphs\n", "myInt = Interleave(F, G)\n", "myInt.fit()\n", "\n", "print('The found interleaving bound is d_I(F,G) <=', myInt.n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `Interleave` instance, once fit, also stores additional structures as an instance of the `Assignment` class in `Interleave.assignment`, and the interleaving maps themselves can be accessed using `Interleave.phi` and `Interleave.psi`. Details for experts wanting to interact with the internal structures are provided in the next section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The `Assignment` class \n", "\n", "For those interested in understanding how the internal structure works, this tutorial will go through the structures used to encode a given assignment between two input mapper graphs, and then how the ILP optimization functions to find a best choice of assignment. However, the user doesn't need to directly interact with this aspect if the only goal is to get an optimal bound. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with two example Mapper graphs." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M1 = ex_mg.interleave_example_A()\n", "M2 = ex_mg.interleave_example_B()\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 5), sharey = True)\n", "\n", "M1.draw(ax = ax[0])\n", "ax[0].set_title(\"M1\")\n", "M2.draw(ax = ax[1])\n", "ax[1].set_title(\"M2\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can create an instance of the `Assignment` class for a fixed choice of $n$ to store all the relevant matrices and smoothed graphs. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "myAssgn = Assignment(M1, M2, n = 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inside the `Assignment` class, we have lots of setup data ready to go. \n", "\n", "Internally, the two graphs are labeled as $F$ and $G$, and an assignment itself is a collection of four maps: \n", "- $\\phi:F \\to G^n$\n", "- $\\phi_n:F^n \\to G^{2n}$\n", "- $\\psi: G \\to F^n$. \n", "- $\\psi_n: G^n \\to F^{2n}$. \n", "\n", "First we have the two original graphs stored as follows. The $F$ graphs for $0$, $n$, and $2n$ can be called with the function `myAssgn.F(key)` with key in the set `['0','n','2n']`. (Note the `0` is a string, not an integer)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fn = myAssgn.F('n')\n", "Fn.draw()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_0: {'nodes': 25, 'edges': 26}\n", "F_n: {'nodes': 23, 'edges': 24}\n", "F_2n: {'nodes': 22, 'edges': 22}\n" ] } ], "source": [ "for key in ['0', 'n', '2n']:\n", " print(f\"F_{key}: {myAssgn.F(key).summary()}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we have a function to get the $G$ graphs. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G_0: {'nodes': 32, 'edges': 32}\n", "G_n: {'nodes': 32, 'edges': 32}\n", "G_2n: {'nodes': 32, 'edges': 32}\n" ] } ], "source": [ "for key in ['0', 'n', '2n']:\n", " print(f\"G_{key}: {myAssgn.G(key).summary()}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the graphs can be drawn at once with the following command." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.draw_all_graphs();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input Matrices \n", "\n", "There are many matrices stored in the `Interleave` class, but since these are largely block matrices due to the function preserving restriction on the maps, we store these in the following structure. See [the labeled blocks documentation](../modules/distance/labeled_blocks.rst) for additional details.\n", "\n", "A block dictionary is a dictionary with keys as the integer function values for the relevant graphs. Each key $i$ maps to another dictionary with keys\n", "- `array`: the matrix for the $i$ th block\n", "- `rows`: A list of the vertices (or edges) in order represented in the rows of the matrix\n", "- `cols`: A list of the vertices (or edges) in order represented in the rows of the matrix. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inclusion Matrices\n", "The first block matrices are the inclusion matrices, which can be accessed by calling `myAssgn.I`. These matrices give the maps $F \\to F_n \\to F_{2n}$ and $G \\to G_n \\to G_{2n}$, with entry $M[a,b]=1$ meaning that object $b$ in the input space goes to object $a$ in the output space. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LabeledMatrix(\n", "array=\n", "[[0. 1.]\n", " [1. 0.]], \n", "rows=[8, 9], \n", "cols=[6, 7])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# For example, the induced inclusion map from $G$ to $G_{n}$ for the vertices is given by:\n", "myAssgn.I('G','n','V')\n", "\n", "# The block of the diagram sending vertices with function value 7 in $V(F_n)$ to vertices with value 7 in $V(F_{2n})$ is given by:\n", "myAssgn.I('F','n','V')[7]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reading the output above, we see that vertex 6 in $F_n$ is sent to vertex $8$ in $F_{2n}$, while vertex 7 in $F_n$ is sent to vertex $9$ in $F_{2n}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each map is stored as a `LabeledBlockMatrix` type. See [the documentation](../modules/distance/labeled_blocks.rst) for further details. The full matrix with all the blocks in place can be accessed as follows. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LabeledMatrix(\n", "array=\n", "[[0. 0. 0. ... 0. 0. 0.]\n", " [1. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 0.]\n", " ...\n", " [0. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 1.]\n", " [0. 0. 0. ... 0. 0. 0.]], \n", "rows=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], \n", "cols=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myAssgn.I('G','n','V').to_labeled_matrix()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And for visualizing, we can use the draw function to plot the matrix with rows and columns labeled accordingly. The `filltype = 'nan'` part makes the drawing function include anything outside the blocks as white, making the block structure easier to visualize. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.I('G','n','V').draw(filltype = 'nan', colorbar = True);\n", "plt.title(r'Induced Inclusion Map from $F_n$ to $F_{2n}$ for Vertices');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have the induced maps for edges. This can be found as follows, or the full matrix can be drawn directly using the `draw_I` command. Note that the third entry for edge labels comes from the `nx.MultiDiGraph` parent class. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LabeledMatrix(\n", "array=\n", "[[0. 1. 0.]\n", " [1. 0. 0.]\n", " [0. 0. 1.]], \n", "rows=[(14, 17, 0), (15, 17, 0), (16, 18, 0)], \n", "cols=[(13, 16, 0), (14, 17, 0), (15, 18, 0)])\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(myAssgn.I('G','n','E')[7])\n", "\n", "myAssgn.I('G','n','E')[7].draw(colorbar = True)\n", "plt.title(r'Induced Inclusion Map from $F_n$ to $F_{2n}$ for Edges with Function Value 8');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are also commands to draw individual $I$ maps using the `.draw_I` function, as well as the command shown below which draws all the $I$ matrices at once for convenience. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.draw_all_I(filltype = 'nan', colorbar = True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we can get the composition of the maps for $F \\Rightarrow F_{2n}$ or $G \\Rightarrow G_{2n}$ by matrix multiplication. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compI = myAssgn.I('F','n','V') @ myAssgn.I('F','0','V')\n", "fig, ax = plt.subplots()\n", "compI.draw(filltype = 'nan', colorbar = True, ax = ax)\n", "ax.set_xlabel(r'$V(F_{0})$')\n", "ax.set_ylabel(r'$V(F_{2n})$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Boundary Matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have boundary matrices for each graph, where $B[v,e] = 1$ iff $v$ is a vertex of edge $e$. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.B('G','n').draw(colorbar = True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that unlike the inclusion matrices, this matrix doesn't have nice block structure. In particular, if an edge is at height $i$, it's endpoints are at heights $i$ and $i+1$. However, we can pull out the two pieces of the boundary matrix to use, and these are stored as `LabeledBlockMatrix` types. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B_down = myAssgn.B_down('G','n')\n", "B_up = myAssgn.B_up('G','n')\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n", "B_down.draw(filltype = 'nan', colorbar = True, ax = ax[0])\n", "ax[0].set_title(r'$B_{down}(G,n)$')\n", "B_up.draw(filltype = 'nan', colorbar = True, ax = ax[1])\n", "ax[1].set_title(r'$B_{up}(G,n)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that block `i` for the `B_up` matrix has edges with height `i` since they are stored as the lower of the two function values of the endpoints; and vertices with height `i+1`" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fix, ax = plt.subplots(1, 2, figsize=(10, 5))\n", "myAssgn.B_up('G', 'n')[7].draw(colorbar = True, ax = ax[0])\n", "ax[0].set_title(r'$B^{\\uparrow}_{G_n}$, $i=7$')\n", "myAssgn.B_down('G', 'n')[7].draw(colorbar = True, ax = ax[1])\n", "ax[1].set_title(r'$B^{\\downarrow}_{G_n}$, $i=7$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have a drawing command, `.draw_B` to simplify the process, and `.draw_all_B` to show them all at once." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.draw_all_B();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Distance matrix \n", "\n", "Following (our paper that we will cite once it's on the arxiv TODO), there is a distance between any vertices at the same level defined to be the amount of smoothing needed for the two vertices to be mapped to the same vertex. This block matrix is stored in `Interleave.D`. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LabeledMatrix(\n", "array=\n", "[[0. 2.]\n", " [2. 0.]], \n", "rows=[11, 12], \n", "cols=[11, 12])\n" ] } ], "source": [ "# Here's the distance between the vertices at function value 9 in $F^n$\n", "print(myAssgn.D('F','n','V')[9])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# and here's a visual for the same distance matrix\n", "myAssgn.D('F','n','V')[9].draw(colorbar=True)\n", "plt.title(r'Distance Matrix for Vertices with Function Value 9 in $F^n$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, we can easily draw the full distance matrix using the `draw_D` command. Here's the full matrix for $G_{n}$." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.draw_D('G', 'n','V', filltype='nan', colorbar=True); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's an edge version too. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn.draw_D('G', 'n','E', filltype = 'nan');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The assignment matrices\n", "\n", "Next well show the storage of the actual assignment maps, `phi` and `psi`. Let's go back to a simpler example for a while: a torus and a line graph. Note that the mapper graph is called a \"torus\" because it is the resulting Reeb graph from the usual upright torus example; it is not actually topologically equivalent to a torus. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = ex_mg.torus(0, 2, 10, 12, delta = 1, seed = 17)\n", "L = ex_mg.line(0, 12)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 5), sharey = True)\n", "T.draw(ax = ax[0])\n", "ax[0].set_title(\"Torus\")\n", "L.draw(ax = ax[1])\n", "ax[1].set_title(\"Line\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, we can initialize the interleaving. We also ask for randomly generated maps $\\varphi: F \\to G^n$ and $\\psi: G \\to F^n$. Note the default is `True`, so if set to `False` this would initialize matrices of the correct structure but filled with zeros." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "myAssgn_TL = Assignment(L,T, \n", " initialize_random_maps = True, \n", " seed = 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's draw all the relevant graphs just to be able to look at what's going on here. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.draw_all_graphs();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These can be accessed using the `.phi` and `.psi` functions. As before, these are stored as `LabeledBlockMatrix` types. Note that in the example of a line and torus, the `psi` map has only one possible vertex for the image of any vertex or edge so the matrices are relatively simple. The choice comes with the `phi` map which has two options for image for the middle collection of vertices and edges." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.phi('n','V').draw(filltype = 'nan', \n", " colorbar = True, )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have a command to draw all the matrices at once for ease of visualization. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([[,\n", " ],\n", " [,\n", " ]],\n", " dtype=object))" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rr7xSTz/9tObPn6+///3vuueee/TMM89IklJSUrR+/Xp9+umnF6z13HPPafr06XrttdfcvqEtzm2RQ0JClJ6ermrVqun222/X7t279fHHHysmJkbZ2dm64YYbVLVqVc2bN++CtcqVK6dt27apVq1auvjii3XPPfdo8ODBrvPz5s3TM888ox9++MHj3pYtW6YPP/xQb731ljIzM5WcnKzBgwfrmmuuUUiIdzcprl+/vl544QX95S9/0caNG9WmTRvNnTtX/fr1kyQtXLhQo0aNcl118+Tn3bJli+rWrStJcjqdioiIUFpamqpXr65ly5Zp4MCBOnDggMc9Wv33WZKqVq2qf//73+rbt6/b8bffflv33nuvjh496nEtAIWzOt8kMk4qesZZmW8SGReIGUe94tVDEfh7pBqoKlas6PrmrW7duubzzz83xhizc+dOExkZ6XGd2rVrm7lz5xZ6fu7cuaZWrVoe1zv7jZzD4Sh08+bblWrVqplNmza59p1Opxk6dKhJSkoyP//8s9fftkZHR5sdO3YYY4zJz883YWFhZsOGDa7zmzdvNtWrV/e43tq1a81FF11kHnzwQZOXl2eMMSYsLMz88MMPHtf4I4fDYTIyMowxv/9z/fTTT93Of/XVVyYxMdGjWpUrVzbr1q0zxvz+55iamup23tu/K3/sLS8vzyxYsMD07NnThIaGmoSEBPPoo4+6/mw9ERkZafbu3evaL1OmjNmyZYtrf8+ePaZcuXIe16tVq5ZZvXq1a//gwYPG4XCYkydPGmOM2b17t4mIiPC4njHW/302xpiYmBjz008/nXN8+/btJiYmxqtaAApndb4ZQ8YZU/SMszLfjCHjAjHjqFf8/0aAd3iOYiGaNWumjRs3SpLat2+vF154QV999ZWefPJJ17dNnnjooYc0ZMgQjRgxQh988IG+/fZbffvtt/rggw80YsQIDR061Ks7XsXHx+u9996T0+kscNuwYYNXP+epU6fc5u87HA5NnTpVvXv3VufOnfXTTz95Ve9sDen3bw8jIiIUExPjOlehQgVlZmZ6XOuSSy7R+vXrdeTIEbVt21Zbtmwp9o1Jzr7/t99+c7tts/T7nbWOHDniUZ3k5GRNnTpVktS5c2f95z//cTv/zjvvqH79+kXqsUyZMrr55pu1ZMkS7dq1S4MHD9Zbb72lhg0belwjLi5OW7dulSTt2LFD+fn5rn1J+uGHH1StWjWP611//fUaOnSolixZohUrVqhfv37q3Lmz65lJ27dvV40aNTyuJ1n/91mS7rjjDtc/lz+aPn2665tmAMVndb5JZFxxM86qfJPIuEDMOOoV/78R4CV/j1QD1ZIlS8x///tfY4wxO3bsMA0bNjQOh8NUqVLF4/UHZ82fP9+0b9/ehIWFub4BCQsLM+3btzcLFizwqlbv3r3Pu84qNTXVOBwOj+tdcskl5vXXXy/w3LBhw0zFihW9+ramRYsW5pNPPnHtb9682Zw+fdq1v2rVKlOnTh2P6/3R22+/bapXr25CQkKKdUWxefPmpnXr1iYqKsr85z//cTv/xRdfmBo1anhU68CBA6Z27drmiiuuMCNHjjSRkZHmsssuM4MHDzZXXHGFKVu2rPnoo4+86u3st60FcTqd53xDfD6PPfaYqVq1qrn77rtNnTp1zOjRo01SUpKZOnWqmTZtmklMTDQPPPCAx/VOnDhhbr75Ztff444dO7qtd1m6dKl55513PK5njHV/nx944AHXdu+995oKFSqYpk2bmrvuusvcddddplmzZiY6OtoMHz7cq/4AnJ+V+WYMGVecjLMy34wh4wIp46hnTT14jzWKXjh27JgqVapU5G/7Tp8+7VofVaVKFZUpU8brGl9++aVycnJ09dVXF3g+JydH69atU+fOnT2qN378eH355Zf6+OOPCzz/97//XdOmTZPT6fSo3rRp05SYmHjOs3POevTRR3X48GG99tprHtX7s/3792v9+vXq1q2bypcv7/X7n3jiCbf9Sy+9VD179nTtP/zww9q/f7/efvttj+odP35czz33nD788EPt2rVLTqdT8fHx6tSpkx544AGv7vZXp04drVu3zqu70p2P0+nUc889pzVr1qhjx44aPXq0FixYoFGjRunkyZPq3bu3Jk+e7PWf42+//aYzZ84oKiqq2D1a9fe5a9euHn2ew+HQ559/7nWfAM7PinyTyLjiZJzV+SaRccVl9d9n6hWvHrzHQBEAAAAA4IY1igAAAAAANwwUAQAAAABuGCh6IDc3V+PGjVNubi71/FwvkHujXumvB+DCAv3fYzKJetSjHjzk33vpBIfMzEwjyWRmZlLPz/UCuTfqlf56weSLL74w1157rYmPjzeSzMKFCy/4nhUrVpjWrVubsmXLmnr16pnZs2f7vE+UPoH+7zGZRD3qUS/Y+CvTuaIIAKVQTk6OWrZsqSlTpnj0+t27d6tXr17q2rWrUlNTdf/99+vuu+/W0qVLfdwpAAA4H39letiFXwIACDbJyclKTk72+PXTpk1TnTp19OKLL0qSGjdurNWrV+tf//qX2y32AQBAyfJXptt6oOh0OnXw4EFVqFDhvM9GzMrKcvvf4qJeYNSiHvXOMsboxIkTSkhIUEiIdRMtfvvtN+Xl5VlWzxhzzu+q8PBwhYeHF7v2mjVr1K1bN7djPXv21P3331/s2igdyEzf1qIe9ahnTT0y3cJM93qyaimSlpZmJLGxsbEZSSYtLc2y3y+nTp0ycdVCLe0vKirqnGNjx469YC/ShdczNGjQwDz77LNuxz766CMjyZw8ebIYfxIoLchMNja2YNrI9OJnuq2vKFaoUEGSlJaWpujoaD93A8BfsrKylJiY6PqdYIW8vDylH87X3vW1FV2h+N9oZp1wqlabPef8vrLim0fAE2QmgGBAplvH1gPFs5d7o6OjCT0A551OV1RRFRyKqlD8uk759vdVXFycMjIy3I5lZGQoOjpakZGRln8egg+ZCSCYkOnFz3RbDxQBwNfyjVP5xpo6vtShQwd9/PHHbseWLVumDh06+PRzAQAIFnbLdB6PAQClUHZ2tlJTU5Wamirp91tlp6amat++fZKklJQU9e/f3/X6oUOHateuXRo1apR+/PFHvfLKK3rnnXf0wAMP+KN9AADwP/7KdK4oAoAPOWXkVPG/fvS2xrp169S1a1fX/siRIyVJAwYM0Jw5c3To0CFXwEhSnTp19NFHH+mBBx7QSy+9pJo1a+q1117j0RgAAPyP3TLd8b+75wStKVOmaMKECUpPT1fLli318ssvq127dh69NysrSzExMcrMzGS9BWBjvvhdcLbmwe01LVv4ntBwP7+vUCxkJoDSjky3TlBPPV2wYIFGjhypsWPHasOGDWrZsqV69uypw4cP+7s1AAACCpkJAPBGUA8UJ06cqMGDB2vQoEFq0qSJpk2bpnLlymnWrFn+bg0AJEn5xli2AcVBZgJA8dgt04N2oJiXl6f169erW7durmMhISHq1q2b1qxZU+B7cnNzlZWV5bYBAFDakZkAAG8F7UDx6NGjys/PV/Xq1d2OV69eXenp6QW+Z/z48YqJiXFtiYmJJdEqABs7u/Ddig0oKjITAIrPbpketAPFokhJSVFmZqZrS0tL83dLAEo5p4zyLdiCJVRQepCZAODObpketI/HqFKlikJDQ5WRkeF2PCMjQ3FxcQW+Jzw8XOHh4SXRHgAAAYPMBAB4K2ivKJYtW1Zt2rTR8uXLXcecTqeWL1+uDh06+LEzAPh/dpumgsBEZgJA8dkt04P2iqL0+8MmBwwYoLZt26pdu3aaNGmScnJyNGjQIH+3BgCSZNndzYLlDmkIXGQmABSP3TI9qAeKt9xyi44cOaIxY8YoPT1drVq10pIlS85ZrA8AgN2RmQAAbwT1QFGShg8fruHDh/u7DQAokPN/mxV1gOIiMwGg6OyW6UE/UASAQHb2DmdW1AEAAP5jt0wP2pvZAAAAAAB8gyuKkpwZreU8ac2YOSRuhyV1AJQO+eb3zYo6QCAgMwHYld0ynSuKAAAAAAA3XFEEAB+y28J3AABKK7tlOgNFAPAhpxzKl8OSOgAAwH/slulMPQUAAAAAuOGKIgD4kNP8vllRBwAA+I/dMp2BIgD4UL5F01SsqAEAAIrObpke1FNPV61apd69eyshIUEOh0OLFi3yd0sAAAQkMhMA4I2gHijm5OSoZcuWmjJlir9bAYACnf320YoNKA4yEwCKx26ZHtRTT5OTk5WcnOzvNgCgUE7jkNNYcIc0C2rA3shMACgeu2V6UA8UvZWbm6vc3FzXflZWlh+7AQAgcJGZAGBvQT311Fvjx49XTEyMa0tMTPR3SwBKObtNU0HpQWYCgDu7ZbqtBoopKSnKzMx0bWlpaf5uCUApl68QyzagJJGZAODObpluq6mn4eHhCg8P93cbAAAEPDITAOzNVgNFAChpxqKF7yZIFr4DAFBa2S3Tg3qgmJ2drZ07d7r2d+/erdTUVMXGxiopKcmPnQEAEFjITACAN4J6oLhu3Tp17drVtT9y5EhJ0oABAzRnzhw/dQUA/8+qRevBsvAdgYvMBIDisVumB/VAsUuXLjLG+LsNAChUvglRvin+ovV8ftWhmMhMACgeu2V6cNxyBwAAAABQYoL6iiIABDqnHHJa8J2cU0Hy9SMAAKWU3TKdgaKkkOrfKyQ62pJazvQGltQ5KyRuh6X1AJQsu61nQOlHZgKwK7tlOlNPAQAAAABuuKIIAD5k3cL34JimAgBAaWW3TGegCAA+9Pt6huJPMbGiBgAAKDq7ZTpTTwEAAAAAbriiCAA+5FSI8m10hzQAAEoru2U6A0UA8CG7rWcAAKC0slumB+3U0/Hjx+uSSy5RhQoVVK1aNV1//fXavn27v9sCACDgkJkAAG8F7UDxiy++0LBhw/TNN99o2bJlOn36tHr06KGcnBx/twYALk6FWLYBRUVmAkDx2S3Tg3bq6ZIlS9z258yZo2rVqmn9+vW64oor/NQVAACBh8wEAHgraAeKf5aZmSlJio2NLfQ1ubm5ys3Nde1nZWX5vC8A9pZvHMo3xb8NthU1gLPITADwnt0yPTiue16A0+nU/fffr06dOqlZs2aFvm78+PGKiYlxbYmJiSXYJQA7yv/fHdKs2AArkJkAUDR2y/Tg6PIChg0bpi1btmj+/PnnfV1KSooyMzNdW1paWgl1CABAYCAzAQCeCPqpp8OHD9fixYu1atUq1axZ87yvDQ8PV3h4eAl1BgCS04TIacGttJ1BcittBDYyEwCKzm6ZHrQDRWOM7r33Xi1cuFArV65UnTp1/N0SAJzDqikm+UHycF4EJjITAIrPbpketAPFYcOGad68eXr//fdVoUIFpaenS5JiYmIUGRnp5+4AAAgcZCYAwFtBO1CcOnWqJKlLly5ux2fPnq2BAweWfEMAUACnrLm7mbP4rcDGyEwAKD67ZXrQDhRNkMztBWBvVj1YN1gezovARGYCQPHZLdODo0sAAAAAQIkJ2iuKABAM8k2I8i24Q5oVNQAAQNHZLdMZKFosJG6HpfWc6Q0srWd1fwDOzymHnLJiPUPxawCBhswEEEzslunBMZwFAAAAAJQYrigCgA/ZbZoKAAClld0yPTi6BAAAAACUGK4oAoAP5StE+RZ8J2dFDQAAUHR2y3QGigDgQ07jkNOKh/NaUAMAABSd3TI9OIazAAAAAIASE7QDxalTp6pFixaKjo5WdHS0OnTooE8++cTfbQGAG+f/pqkUd3MG769rBAAyEwCKz26ZHrRTT2vWrKnnnntODRo0kDFGc+fOVZ8+ffT999+radOm/m4PACRJThMipwV3N7OiBuyLzASA4rNbpgftQLF3795u+88884ymTp2qb775htADAOAPyEwAgLeCdqD4R/n5+Xr33XeVk5OjDh06FPq63Nxc5ebmuvazsrJKoj0ANpYvh/JV/EXrVtQAJDITAIrKbpke1APFzZs3q0OHDvrtt98UFRWlhQsXqkmTJoW+fvz48XriiSdKsEMAdme3aSoIXGQmABSP3TI9OLosRMOGDZWamqpvv/1W99xzjwYMGKCtW7cW+vqUlBRlZma6trS0tBLsFgAA/yEzAQDeCOorimXLllX9+vUlSW3atNF3332nl156Sa+++mqBrw8PD1d4eHhJtgjA5vJlzRST/OK3ApsjMwGgeOyW6UF9RfHPnE6n23oKAABQMDITAHA+QXtFMSUlRcnJyUpKStKJEyc0b948rVy5UkuXLvV3awDgYrf1DAhMZCYAFJ/dMj1oB4qHDx9W//79dejQIcXExKhFixZaunSpunfv7u/WAMAl34Qo34JAsKIG7IvMBIDis1umB0eXBZg5c6b27Nmj3NxcHT58WJ999hmBBwB/MmXKFNWuXVsRERFq37691q5de97XT5o0SQ0bNlRkZKQSExP1wAMP6LfffiuhbuErZCYABDd/5HnQXlEEgGBg5JDTgoXvpgg1FixYoJEjR2ratGlq3769Jk2apJ49e2r79u2qVq3aOa+fN2+eRo8erVmzZqljx4766aefNHDgQDkcDk2cOLHYPwMAAMHMX5nurzwP2iuKABAMzk5TsWLz1sSJEzV48GANGjRITZo00bRp01SuXDnNmjWrwNd//fXX6tSpk2677TbVrl1bPXr0UN++fS/4rSUAAHbgr0z3V55zRTHAhcTtsLSeM72BpfWs7g/A+WVlZbntF/YIg7y8PK1fv14pKSmuYyEhIerWrZvWrFlTYO2OHTvqzTff1Nq1a9WuXTvt2rVLH3/8se644w5rfwjAR8hMAMHEk0z3Z54zUAQAH3Iah5ym+NNUztZITEx0Oz527FiNGzfunNcfPXpU+fn5ql69utvx6tWr68cffyzwM2677TYdPXpUl112mYwxOnPmjIYOHapHH3202P0DABDs/JHp/sxzBooA4EP5ClG+BbP8z9ZIS0tTdHS067iVD0RfuXKlnn32Wb3yyitq3769du7cqREjRuipp57S448/btnnAAAQjIIl063KcwaKABBEoqOj3UKlMFWqVFFoaKgyMjLcjmdkZCguLq7A9zz++OO64447dPfdd0uSmjdvrpycHA0ZMkT/+Mc/FBLCsnYAAKziSab7M89JfQDwobPTVKzYvFG2bFm1adNGy5cv//9enE4tX75cHTp0KPA9J0+ePCc8QkNDJUnGGC9/cgAAShd/ZLo/85wrigDgQ06FyGnBd3JFqTFy5EgNGDBAbdu2Vbt27TRp0iTl5ORo0KBBkqT+/furRo0aGj9+vCSpd+/emjhxolq3bu2aqvL444+rd+/eroABAMCu/JXp/spzBooAUErdcsstOnLkiMaMGaP09HS1atVKS5YscS2I37dvn9s3jo899pgcDocee+wxHThwQFWrVlXv3r31zDPP+OtHAADA9vyV5w5TSuYTPffcc0pJSdGIESM0adIkj96TlZWlmJgYZWZmerTmpzTgVt/AuXzxu+BszXu+/IvCo8oUu15u9mlNvfw9W/2+gu+QmZ4hM4HgQ6Zbp1SsUfzuu+/06quvqkWLFv5uBQCAgEZmAgA8EfQDxezsbPXr108zZsxQpUqV/N0OALjx181sgIKQmQBQdHbL9KAfKA4bNky9evVSt27dLvja3NxcZWVluW0A4EvGhMhpwWZM0P+6RgAgMwGg6OyW6UF9M5v58+drw4YN+u677zx6/fjx4/XEE0/4uCsAAAIPmQkA8EZwDGcLkJaWphEjRuitt95SRESER+9JSUlRZmama0tLS/NxlwDsLl8OyzagqMhMACg+u2V60F5RXL9+vQ4fPqyLL77YdSw/P1+rVq3S5MmTlZube85zQsLDwxUeHl7SrQKwMaeRJWsRnKXi/tTwFzITAIrPbpketAPFq666Sps3b3Y7NmjQIDVq1EiPPPIID4cGAOB/yEwAgLeCdqBYoUIFNWvWzO1Y+fLlVbly5XOOA4C/nF24bkUdoKjITAAoPrtletAOFAEgGDjlkNOCtQhW1AAAAEVnt0wvVQPFlStX+rsFAACCApkJADifUjVQBIBAk28cyrdg4bsVNQAAQNHZLdMZKAKAD9ltPQMAAKWV3TKdgaLNhMTtsLRe95CbLK23zPmupfUAACgqqzPTmd7A0npW9wcAf8RAEQB8yCmHNc9cCpKF7wAAlFZ2y/TguO4JAAAAACgxXFEEAB8yFt1K2wTJt48AAJRWdst0BooA4ENOY9E0lSC5QxoAAKWV3TKdqacAAAAAADdcUQQAH7LbrbQBACit7JbpwdFlAcaNGyeHw+G2NWrUyN9tAYCbs9NUrNiAoiIzAaD47JbpQX1FsWnTpvrss89c+2FhQf3jAADgM2QmAMAbQZ0SYWFhiouL83cbAFAop0V3SAuWZy4hcJGZAFA8dsv0oJ16Kkk7duxQQkKC6tatq379+mnfvn3nfX1ubq6ysrLcNgDwJbtNU0HgIjMBoHjslulBO1Bs37695syZoyVLlmjq1KnavXu3Lr/8cp04caLQ94wfP14xMTGuLTExsQQ7BgDAP8hMAIC3gnagmJycrJtuukktWrRQz5499fHHH+v48eN65513Cn1PSkqKMjMzXVtaWloJdgzAjuz27SMCE5kJAMVnt0wP6jWKf1SxYkVddNFF2rlzZ6GvCQ8PV3h4eAl2BQBA4CEzAQAXErRXFP8sOztbP//8s+Lj4/3dCgC42O3bRwQHMhMAvGe3TA/ageJDDz2kL774Qnv27NHXX3+tG264QaGhoerbt6+/WwMAF7uFCgITmQkAxWe3TA/aqaf79+9X37599csvv6hq1aq67LLL9M0336hq1ar+bg0AgIBCZgIAvBW0A8X58+f7uwUAuCAja56XZIrfCmyMzASA4rNbpgftQBEAgoFVU0yCZZoKAAClld0yPWjXKAIAAAAAfIMriiiWpQdT/d0CENDs9u0jgMKFxO2wtJ4zvYGl9azuDyht7JbpDBQBwIfsFioAAJRWdst0pp4CAAAAANxwRREAfMhu3z4CAFBa2S3TGSgCgA8Z45CxIBCsqAEAAIrObpnO1FMAAAAAgBuuKAKADznlsOThvFbUAAAARWe3TA/qK4oHDhzQ7bffrsqVKysyMlLNmzfXunXr/N0WAAABh8wEAHgjaK8o/vrrr+rUqZO6du2qTz75RFWrVtWOHTtUqVIlf7cGAC52W/iOwERmAkDx2S3Tg3ag+PzzzysxMVGzZ892HatTp44fOwKAc9lt4TsCE5kJAMVnt0wP2qmnH3zwgdq2baubbrpJ1apVU+vWrTVjxozzvic3N1dZWVluGwAApR2ZCQDwVtAOFHft2qWpU6eqQYMGWrp0qe655x7dd999mjt3bqHvGT9+vGJiYlxbYmJiCXYMwI7OTlOxYgOKiswEgOKzW6YH7UDR6XTq4osv1rPPPqvWrVtryJAhGjx4sKZNm1boe1JSUpSZmena0tLSSrBjAHZ0dpqKFRtQVGQmABSf3TI9aAeK8fHxatKkiduxxo0ba9++fYW+Jzw8XNHR0W4bAAClHZkJAPBW0N7MplOnTtq+fbvbsZ9++km1atXyU0cAcC5j0RSTYPn2EYGJzASA4rNbpgftFcUHHnhA33zzjZ599lnt3LlT8+bN0/Tp0zVs2DB/twYALkaSMRZs/v5BENTITAAoPrtletAOFC+55BItXLhQb7/9tpo1a6annnpKkyZNUr9+/fzdGgAAAYXMBAB4K2innkrStddeq2uvvdbfbQBAoZxyyCELHs5rQQ3YG5kJAMVjt0wP6oEiAAQ6uz2cFwCA0spumR60U08BAAAAAL7BFUUUS0jcDkvrOdMbWFrP6v4AbzmNQw4LvjkMlofzAig5ZDBQsuyW6VxRBAAAAAC44YoiAPjQ2VthW1EHAAD4j90ynYEiAPiQ3Ra+AwBQWtkt05l6CgAAAABwwxVFAPAhu337CABAaWW3TGegCAA+ZLc7pAEAUFrZLdODdupp7dq15XA4ztmGDRvm79YAAAgoZCYAwFtBe0Xxu+++U35+vmt/y5Yt6t69u2666SY/dgUA7ux2hzQEJjITAIrPbpketAPFqlWruu0/99xzqlevnjp37uynjgDgXL+HihXrGSxoBrZFZgJA8dkt04N2oPhHeXl5evPNNzVy5Eg5HIX/w8vNzVVubq5rPysrqyTaAwAgYJCZAABPBO0axT9atGiRjh8/roEDB573dePHj1dMTIxrS0xMLJkGAdjW2TukWbEBViAzAaBo7JbppWKgOHPmTCUnJyshIeG8r0tJSVFmZqZrS0tLK6EOAdiVsXADrEBmAkDR2C3Tg37q6d69e/XZZ5/pvffeu+Brw8PDFR4eXgJdAQAQeMhMAICngn6gOHv2bFWrVk29evXydysAcA67PZwXgY3MBICis1umB/XUU6fTqdmzZ2vAgAEKCwv6MS8AAD5DZgIAvBHUSfHZZ59p3759uvPOO/3dCgAUzKrFCMGyoAEBi8wEgGKyWaYH9RXFHj16yBijiy66yN+tAEDBrLo7WhGnqUyZMkW1a9dWRESE2rdvr7Vr15739cePH9ewYcMUHx+v8PBwXXTRRfr444+L9NkILGQmABSTHzPdH3ke1FcUAQCFW7BggUaOHKlp06apffv2mjRpknr27Knt27erWrVq57w+Ly9P3bt3V7Vq1fSf//xHNWrU0N69e1WxYsWSbx4AAEjyX54zUAQAHzLm982KOt6aOHGiBg8erEGDBkmSpk2bpo8++kizZs3S6NGjz3n9rFmzdOzYMX399dcqU6aMJKl27drFaRsAgFLDX5nurzxnoIiA0jOhlaX1ljktLQd4zeo7pGVlZbkdL+wRBnl5eVq/fr1SUlJcx0JCQtStWzetWbOmwM/44IMP1KFDBw0bNkzvv/++qlatqttuu02PPPKIQkNDi/0zAAhsZDBwfv7IdH/meVCvUQQAu0lMTFRMTIxrGz9+fIGvO3r0qPLz81W9enW349WrV1d6enqB79m1a5f+85//KD8/Xx9//LEef/xxvfjii3r66act/zkAALA7TzLdn3nOFUUA8KVi3IjmnDqS0tLSFB0d7Tps5QPRnU6nqlWrpunTpys0NFRt2rTRgQMHNGHCBI0dO9ayzwEAICgFSaZblecMFAHAh6xezxAdHe0WKoWpUqWKQkNDlZGR4XY8IyNDcXFxBb4nPj5eZcqUcZuW0rhxY6WnpysvL09ly5Yt+g8AAECQ80em+zPPmXoKAKVQ2bJl1aZNGy1fvtx1zOl0avny5erQoUOB7+nUqZN27twpp/P/Fxb99NNPio+PZ5AIAIAf+DPPGSgCgC8ZCzcvjRw5UjNmzNDcuXO1bds23XPPPcrJyXHdNa1///5ui+PvueceHTt2TCNGjNBPP/2kjz76SM8++6yGDRtWtJ8dAIDSxE+Z7q88Z+opAJRSt9xyi44cOaIxY8YoPT1drVq10pIlS1wL4vft26eQkP//vjAxMVFLly7VAw88oBYtWqhGjRoaMWKEHnnkEX/9CAAA2J6/8jxoB4r5+fkaN26c3nzzTaWnpyshIUEDBw7UY489JofDgkWmAGABq2+l7a3hw4dr+PDhBZ5buXLlOcc6dOigb775pkifhcBFZgJA8fkz0/2R50E7UHz++ec1depUzZ07V02bNtW6des0aNAgxcTE6L777vN3ewDw/yxY+A4UB5kJABaxUaYH7UDx66+/Vp8+fdSrVy9JUu3atfX2229r7dq1fu4MAIDAQmYCALwVtDez6dixo5YvX66ffvpJkrRx40atXr1aycnJhb4nNzdXWVlZbhsA+NLZaSpWbEBRkZkAUHx2y/SgvaI4evRoZWVlqVGjRgoNDVV+fr6eeeYZ9evXr9D3jB8/Xk888UQJdgnA9op4x9IC6wBFRGYCgAVslulBe0XxnXfe0VtvvaV58+Zpw4YNmjt3rv75z39q7ty5hb4nJSVFmZmZri0tLa0EOwYAwD/ITACAt4L2iuLDDz+s0aNH69Zbb5UkNW/eXHv37tX48eM1YMCAAt8THh6u8PDwkmwTgO05/rdZUQcoGjITAKxgr0wP2oHiyZMn3Z4XIkmhoaFyOp1+6ggACmCzaSoITGQmAFjAZpketAPF3r1765lnnlFSUpKaNm2q77//XhMnTtSdd97p79YAAAgoZCYAwFtBO1B8+eWX9fjjj+vvf/+7Dh8+rISEBP3tb3/TmDFj/N0aAPw/m337CM/l5ubq22+/1d69e3Xy5ElVrVpVrVu3Vp06dSz/LDITACxgs0wP2oFihQoVNGnSJE2aNMnfrQBA4Yzj982KOigVvvrqK7300kv68MMPdfr0acXExCgyMlLHjh1Tbm6u6tatqyFDhmjo0KGqUKGCJZ9JZgKABWyW6UF711MAAILNddddp1tuuUW1a9fWp59+qhMnTuiXX37R/v37dfLkSe3YsUOPPfaYli9frosuukjLli3zd8sAAJsK2iuKABAMjPl9s6IOgl+vXr303//+V2XKlCnwfN26dVW3bl0NGDBAW7du1aFDh0q4QwBAYeyW6QwUEVCWOd+1tF73kJssrWd1fwDs5W9/+5vHr23SpImaNGniw24Ad1ZnnDO9gaX1QuJ2WFoPwPlZNlB0Op364osv9OWXX56zML9bt25KTEy06qMAIHjYbOE7vJeXl6fDhw+f86iKpKQkP3UEACiQzTK92GsUT506paefflqJiYm65ppr9Mknn+j48eMKDQ3Vzp07NXbsWNWpU0fXXHONvvnmGyt6BoDgcXbhuxUbSpUdO3bo8ssvV2RkpGrVqqU6deqoTp06ql27tk/ufAoAKCabZXqxryhedNFF6tChg2bMmKHu3bsXuO5i7969mjdvnm699Vb94x//0ODBg4v7sQAABLWBAwcqLCxMixcvVnx8vByO4PgPBwCAPRR7oPjpp5+qcePG531NrVq1lJKSooceekj79u0r7kcCQNBwmN83K+qgdElNTdX69evVqFEjf7cCAPCA3TK92APFCw0S/6hMmTKqV69ecT8SAIKHzdYzwHNNmjTR0aNH/d0GAMBTNst0y+96evz4ca1du7bAhfn9+/e3+uMAAAhKzz//vEaNGqVnn31WzZs3P2fpRnR0tJ86AwDA4oHihx9+qH79+ik7O1vR0dFu6y0cDoflA8UTJ07o8ccf18KFC3X48GG1bt1aL730ki655BJLPwcAisyqRetBsvAdnuvWrZsk6aqrrnI7boyRw+FQfn6+pZ9HZgJAMdks0y0dKD744IO688479eyzz6pcuXJWli7Q3XffrS1btuiNN95QQkKC3nzzTXXr1k1bt25VjRo1fP75AHBBNpumAs+tWLGiRD+PzASAYrJZpls6UDxw4IDuu+++Ehkknjp1Sv/973/1/vvv64orrpAkjRs3Th9++KGmTp2qp59+2uc9AABQVJ07dy6xzyIzAQDesnSg2LNnT61bt05169a1smyBzpw5o/z8fEVERLgdj4yM1OrVqwt8T25urnJzc137WVlZPu0RAOz27SM853Q6FRJy7uOMnU6n9u/fr6SkJMs+i8wEAAvYLNPPTahi6NWrlx5++GGNGzdO//3vf/XBBx+4bVaqUKGCOnTooKeeekoHDx5Ufn6+3nzzTa1Zs0aHDh0q8D3jx49XTEyMa0tMTLS0JwA4h7FwQ6mQlZWlm2++WeXLl1f16tU1ZswYt/WIR44cUZ06dSz9TDITACxgs0y39Iri4MGDJUlPPvnkOed8sTD/jTfe0J133qkaNWooNDRUF198sfr27av169cX+PqUlBSNHDnStZ+VlUXwAQBK1OOPP66NGzfqjTfe0PHjx/X0009rw4YNeu+991S2bFlJv9/QxmpkJgDAG5YOFP/8OAxfq1evnr744gvl5OQoKytL8fHxuuWWWwqd+hoeHq7w8PAS7RGAzdnsDmm4sEWLFmnu3Lnq0qWLJOn6669Xr1691Lt3b9fsmz/eNdwqZCYAFJPNMt3Sqaeeat68udLS0iyrV758ecXHx+vXX3/V0qVL1adPH8tqAwBgpSNHjqhWrVqu/SpVquizzz7TiRMndM011+jkyZM+/XwyEwDgCUuvKHpqz549On36dLHrLF26VMYYNWzYUDt37tTDDz+sRo0aadCgQRZ0CQDF5zC/b1bUQemQlJSkbdu2ua1DrFChgj799FP16NFDN9xwg08+l8wEgOKxW6b75YqiVTIzMzVs2DA1atRI/fv312WXXaalS5eqTJky/m4NAH5ns4XvuLAePXpo9uzZ5xyPiorS0qVLz7kzqVXITAAoJptlul+uKFrl5ptv1s033+zvNgAA8NgTTzyhgwcPFniuQoUKWrZsmTZs2GD555KZAABvBPUVRQAAgk2lSpXUtGnTQs9XqFBBnTt3du1bva4fAABPBPUVRQAIdA5ZtJ6h+CUQpKxa1w8AKB67ZToDRZRqSw+m+rsFAABsqWdCK0vrLSvZp7ABtueXgeKrr76q6tWr++OjAaBk2eyZSwAAlFo2y3RLBoqnTp3S8uXLde2110qSUlJSlJub6zofGhqqp556ynUnt9tuu82KjwWAwGfV3c2C5A5pAACUWjbLdEsGinPnztVHH33kGihOnjxZTZs2VWRkpCTpxx9/VEJCgh544AErPg4AAAAA4EOW3PX0rbfe0pAhQ9yOzZs3TytWrNCKFSs0YcIEvfPOO1Z8FAAEF5s9cwkAgFLLZpluyUBx586dat68uWs/IiJCISH/X7pdu3baunWrFR8FAICtsK4fAOAPlkw9PX78uNuaxCNHjriddzqdbucBwC4cxqJbaQfJt4+4MNb1A0BwslumW3JFsWbNmtqyZUuh5zdt2qSaNWt6VXPVqlXq3bu3EhIS5HA4tGjRIrfzxhiNGTNG8fHxioyMVLdu3bRjx46itA8AvmOzaSq4sLlz5+rVV1917U+ePFlff/21vv/+e33//fd68803NXXqVK9qkpkAUAJslumWDBSvueYajRkzRr/99ts5506dOqUnnnhCvXr18qpmTk6OWrZsqSlTphR4/oUXXtC///1vTZs2Td9++63Kly+vnj17FtgDAACBwhfr+slMAIDVLJl6+uijj+qdd95Rw4YNNXz4cF100UWSpO3bt2vy5Mk6c+aMHn30Ua9qJicnKzk5ucBzxhhNmjRJjz32mPr06SNJev3111W9enUtWrRIt956a/F+IACwis1upY0L82Rd/7Bhw7yqSWYCQAmwWaZbMlCsXr26vv76a91zzz0aPXq0jPn9p3c4HOrevbteeeUVSxfi7969W+np6erWrZvrWExMjNq3b681a9YUGnq5ublu60CysrIs6wkACmK39Qy4sJJe109mAoA17JbplgwUJalOnTpasmSJjh07pp07d0qS6tevr9jYWKs+wiU9PV2Szhl8Vq9e3XWuIOPHj9cTTzxheT8AAHjq7Lr+hg0bFni+KOv6z4fMBAAUhSVrFP8oNjZW7dq1U7t27XwySCyOlJQUZWZmura0tDR/twSgtDMO6zaUCr5Y1+8LZCYA/InNMr3YA8WhQ4dq//79Hr12wYIFeuutt4r7kYqLi5MkZWRkuB3PyMhwnStIeHi4oqOj3TYA8Cmb3SENF/boo4/q2LFjatiwoSZMmKD3339f77//vl544QU1bNhQv/76q9fr+s+HzAQAi9gs04s99bRq1apq2rSpOnXqpN69e6tt27ZKSEhQRESEfv31V23dulWrV6/W/PnzlZCQoOnTpxe76Tp16iguLk7Lly9Xq1atJP2+duLbb7/VPffcU+z6AAD4Skmv6yczAQBFUeyB4lNPPaXhw4drxowZeuWVV7R161a38xUqVFC3bt00ffp0XX311R7Xzc7Odq11lH5fjJ+amqrY2FglJSXp/vvv19NPP60GDRqoTp06evzxx5WQkKDrr7++uD8SAFjGbgvf4Rmr1/WTmQDge3bLdEtuZnPkyBE99thjeuyxx/Trr79q3759OnXqlKpUqaJ69erJ4fB+Hu66devUtWtX1/7IkSMlSQMGDNCcOXM0atQo5eTkaMiQITp+/Lguu+wyLVmyRBEREVb8SABgDZvdShveObuuv7jITAAoATbLdEsGii1atNAll1yiu+++W7feeqtatmxZ7JpdunRxTccpiMPh0JNPPqknn3yy2J8FAEBJGDp0qB577DGP7mq6YMECnTlzRv369bvga8lMAIDVLLnr6RdffKGmTZvqwQcfVHx8vAYMGKAvv/zSitIAENzM/09VKc4WLN8+4vzOruu/5pprNHXqVH333Xc6cOCAfvnlF+3cuVMffPCBRo0apaSkJP3rX/9S8+bN/d0yAOAsm2W6JQPFyy+/XLNmzdKhQ4f08ssva8+ePercubMuuugiPf/88+d9ThMAAHbx1FNP6aefflLHjh31yiuv6NJLL1VSUpKqVaumhg0bqn///tq1a5emT5+ub775Ri1atPB3ywAAm7Jk6ulZ5cuX16BBgzRo0CDt3LlTs2fP1pQpU/T444/r6quv1gcffGDlxwEXFBK3w9J63UNusrTeMue7ltZDALLZegZcmC/W9QOByOqMc6Y3sLSe1f+NABuwWaZbOlD8o/r16+vRRx9VrVq1lJKSoo8++shXHwUAgctmoYIL88W6fgBACbBZplsy9fTPVq1apYEDByouLk4PP/yw/vKXv+irr77yxUcBABBUWNcPAAgGlg0UDx48qGeffVYXXXSRunTpop07d+rf//63Dh48qBkzZujSSy+16qMAIGhYsejdquc2ITCwrh8AgpPdMt2SgWJycrJq1aqll19+WTfccIO2bdum1atXa9CgQSpfvrwVHwEAQKlydl3/F198oZ9++kk33XSTpkyZoqSkJF133XX+bg8AYHOWrFEsU6aM/vOf/+jaa69VaGioFSUBALAN1vUDAAKNJQNF7mYKAIWw2cJ3eG/VqlWaNWuW/vvf/yokJEQ333yz7rrrLn+3BQD4M5tluk9uZmOFVatWqXfv3kpISJDD4dCiRYvczr/33nvq0aOHKleuLIfDodTUVL/0CQDnY7f1DPCM1ev6yUwA8D27ZXrADhRzcnLUsmVLTZkypdDzl112mZ5//vkS7gwAgKLzxbp+MhMAYDWfPUexuJKTk5WcnFzo+TvuuEOStGfPnhLqCACKKEi+OUTJ8MW6fjITAEqIjTI9YAeKvpCbm6vc3FzXflZWlh+7AWALNlvPgAsLlnX9ZCYA/InNMj1gp576wvjx4xUTE+PaEhMT/d0SAAABicwEAHuz1UAxJSVFmZmZri0tLc3fLQEo5ey28B2lB5kJAO7slum2mnoaHh6u8PBwf7cBAEDAIzMBwN5sNVAEgBJns/UMAACUWjbL9IAdKGZnZ2vnzp2u/d27dys1NVWxsbFKSkrSsWPHtG/fPh08eFCStH37dklSXFyc4uLi/NIzAPyZVVNMgmWaCvyDzAQA37NbpgfsGsV169apdevWat26tSRp5MiRat26tcaMGSPp97vGtW7dWr169ZIk3XrrrWrdurWmTZvmt54BAPAHMhMAYLWAHSh26dJFxphztjlz5kiSBg4cWOD5cePG+bVvAHBjLNyKYMqUKapdu7YiIiLUvn17rV271qP3zZ8/Xw6HQ9dff33RPhgliswEgBLgx0z3R54H7EARAEoFP4bKggULNHLkSI0dO1YbNmxQy5Yt1bNnTx0+fPi879uzZ48eeughXX755d5/KAAApZWfMt1fec5AEQBKqYkTJ2rw4MEaNGiQmjRpomnTpqlcuXKaNWtWoe/Jz89Xv3799MQTT6hu3bol2C0AACiIv/I8YG9mAwSipQdT/d0CgozVC9+zsrLcjhf2CIO8vDytX79eKSkprmMhISHq1q2b1qxZU+jnPPnkk6pWrZruuusuffnll8VvHAAs0jOhlaX1ljktLQcb8Eem+zPPuaIIAL5k8TSVxMRExcTEuLbx48cX+LFHjx5Vfn6+qlev7na8evXqSk9PL/A9q1ev1syZMzVjxoxi/MAAAJRSfsh0f+Y5VxQBIIikpaUpOjratW/VA9FPnDihO+64QzNmzFCVKlUsqQkAAArni0y3Ms8ZKAKALxXjjqXn1JEUHR3tFiqFqVKlikJDQ5WRkeF2PCMjo8Dn5v3888/as2ePevfu7TrmdP4+LyssLEzbt29XvXr1ivEDAAAQ5PyQ6f7Mc6aeAoAPnV3PYMXmjbJly6pNmzZavny565jT6dTy5cvVoUOHc17fqFEjbd68Wampqa7tuuuuU9euXZWamqrExMTi/lEAABDU/JHp/sxzrigCQCk1cuRIDRgwQG3btlW7du00adIk5eTkaNCgQZKk/v37q0aNGho/frwiIiLUrFkzt/dXrFhRks45DgAASo6/8pyBIgD4ksXTVLxxyy236MiRIxozZozS09PVqlUrLVmyxLUgft++fQoJYWIJAAAe8VOm+yvPA/a/EFatWqXevXsrISFBDodDixYtcp07ffq0HnnkETVv3lzly5dXQkKC+vfvr4MHD/qvYQAIQMOHD9fevXuVm5urb7/9Vu3bt3edW7lypebMmVPoe+fMmeP2uxeBi8wEgNLNH3kesAPFnJwctWzZUlOmTDnn3MmTJ7VhwwY9/vjj2rBhg9577z1t375d1113nR86BYDC+WuNIuyFzAQA37Nbpgfs1NPk5GQlJycXeC4mJkbLli1zOzZ58mS1a9dO+/btU1JSUkm0CAAX5sepp7APMhMASoDNMj1gB4reyszMlMPhcC3WLEhubq5yc3Nd+1lZWSXQGQAAgYXMBABcSMBOPfXGb7/9pkceeUR9+/Y977NIxo8fr5iYGNfG7d4B+JyxcAMsQGYCQBHZLNODfqB4+vRp3XzzzTLGaOrUqed9bUpKijIzM11bWlpaCXUJwK4cFm5AcZGZAFB0dsv0oJ56ejbw9u7dq88///y834xKUnh4uMLDw0uoOwAAAgeZCQDwRtAOFM8G3o4dO7RixQpVrlzZ3y0BwLlstvAdgYnMBAAL2CzTA3agmJ2drZ07d7r2d+/erdTUVMXGxio+Pl5//etftWHDBi1evFj5+flKT0+XJMXGxqps2bL+ahsA3Fh1G+xguZU2/IPMBADfs1umB+xAcd26deratatrf+TIkZKkAQMGaNy4cfrggw8kSa1atXJ734oVK9SlS5eSahMAAL8jMwEAVgvYgWKXLl1kTOHD7fOdA4CAYbNpKvAPMhMASoDNMj3o73oKAAAAALBWwF5RBIBSI0i+OQQAABdgo0xnoAh4ISRuh6X1nOkNLK1ndX8oPrstfAcAX1nmfNfSemQwvGW3TGfqKQAAAADADVcUAcCXbLbwHQCAUstmmc5AEQB8yG7TVAAAKK3slulMPQUAAAAAuOGKIgD4ks2mqQAAUGrZLNMZKAKAD9ltmgoAAKWV3TI9YKeerlq1Sr1791ZCQoIcDocWLVrkdn7cuHFq1KiRypcvr0qVKqlbt2769ttv/dMsAAB+RGYCAKwWsAPFnJwctWzZUlOmTCnw/EUXXaTJkydr8+bNWr16tWrXrq0ePXroyJEjJdwpAJyHsXADCkFmAkAJsFmmB+zU0+TkZCUnJxd6/rbbbnPbnzhxombOnKlNmzbpqquu8nV7AOAZm61ngH+QmQBQAmyW6QE7UPRGXl6epk+frpiYGLVs2bLQ1+Xm5io3N9e1n5WVVRLtAQAQMMhMAIAnAnbqqScWL16sqKgoRURE6F//+peWLVumKlWqFPr68ePHKyYmxrUlJiaWYLcA7OjswncrNqA4yEwAKB67ZXpQDxS7du2q1NRUff3117r66qt188036/Dhw4W+PiUlRZmZma4tLS2tBLsFAMB/yEwAgDeCeqBYvnx51a9fX5deeqlmzpypsLAwzZw5s9DXh4eHKzo62m0DAJ+y2cJ3BC4yEwCKyWaZXirWKJ7ldDrd1lMAgL85jJHDFD8RrKgB/BGZCQDesVumB+xAMTs7Wzt37nTt7969W6mpqYqNjVXlypX1zDPP6LrrrlN8fLyOHj2qKVOm6MCBA7rpppv82DUAACWPzAQAWC1gB4rr1q1T165dXfsjR46UJA0YMEDTpk3Tjz/+qLlz5+ro0aOqXLmyLrnkEn355Zdq2rSpv1oGgHPZ7Fba8A8yEwBKgM0yPWAHil26dJE5z2XZ9957rwS7AYCiseruZsFyhzT4B5kJAL5nt0wP6pvZAAAAAACsF7BXFAGgVLDZNBUAAEotm2U6A0XAj3omtLK03jKnpeVgAbtNUwGAYBESt8PSes70BpbWs7o/FJ/dMp2ppwAAAAAAN1xRBABfstk0FQAASi2bZToDRQDwIbtNUwEAoLSyW6Yz9RQAAAAA4IYrigDgSzabpgIAQKlls0zniiIAAAAAwE3ADhRXrVql3r17KyEhQQ6HQ4sWLSr0tUOHDpXD4dCkSZNKrD8A8NTZNQ3F2YDzITMBoGTYKdMDdqCYk5Ojli1basqUKed93cKFC/XNN98oISGhhDoDAC8YY90GFILMBIASYLNMD9g1isnJyUpOTj7vaw4cOKB7771XS5cuVa9evUqoMwAAAguZCQCwWsAOFC/E6XTqjjvu0MMPP6ymTZt69J7c3Fzl5ua69rOysnzVHgBIst+ttBGYyEwAKD67ZXrATj29kOeff15hYWG67777PH7P+PHjFRMT49oSExN92CEA6P/vkGbFBhQRmQkAFrBZpgflQHH9+vV66aWXNGfOHDkcDo/fl5KSoszMTNeWlpbmwy4BAPA/MhMAUBRBOVD88ssvdfjwYSUlJSksLExhYWHau3evHnzwQdWuXbvQ94WHhys6OtptAwBfcjit24CiIDMBwBp2y/SgXKN4xx13qFu3bm7HevbsqTvuuEODBg3yU1cAUACbPZwXgYfMBACL2CzTA3agmJ2drZ07d7r2d+/erdTUVMXGxiopKUmVK1d2e32ZMmUUFxenhg0blnSrAAD4FZkJALBawA4U161bp65du7r2R44cKUkaMGCA5syZ46euAMA7drtDGvyDzAQA37NbpgfsQLFLly4yXjyMcs+ePb5rBgCAAEZmAgCsFrADRQAoFYz5fbOiDgAA8B+bZToDRQDwIbtNUwEAoLSyW6YzUAT8aJnzXUvrOdMbWFovJG6HpfUAACitrM5MMh3+xkARAHzJZrfSBgCg1LJZpjNQBAAfsts0FQAASiu7ZXqIvxsAAAAAAAQWrigCgC/Z7A5pAACUWjbLdAaKAOBDdpumAgBAaWW3TGfqKQAAAADATcAOFFetWqXevXsrISFBDodDixYtcjs/cOBAORwOt+3qq6/2T7MAUBhj4QYUgswEgBJgs0wP2IFiTk6OWrZsqSlTphT6mquvvlqHDh1ybW+//XYJdggAF3Z2mooVG1AYMhMAfM9umR6waxSTk5OVnJx83teEh4crLi6uhDoCACAwkZkAAKsF7BVFT6xcuVLVqlVTw4YNdc899+iXX3457+tzc3OVlZXltgGATzmNdRtQDGQmABSTzTI9aAeKV199tV5//XUtX75czz//vL744gslJycrPz+/0PeMHz9eMTExri0xMbEEOwYAwD/ITACAtwJ26umF3Hrrra7/37x5c7Vo0UL16tXTypUrddVVVxX4npSUFI0cOdK1n5WVRfAB8C2rFq0Hx5ePCFBkJgBYwGaZHrRXFP+sbt26qlKlinbu3Fnoa8LDwxUdHe22AYAvOWTRwnd//yAoVchMAPCe3TK91AwU9+/fr19++UXx8fH+bgUAgIBGZgIALiRgp55mZ2e7fdO5e/dupaamKjY2VrGxsXriiSd04403Ki4uTj///LNGjRql+vXrq2fPnn7sGgD+xJjfNyvqAIUgMwGgBNgs0wN2oLhu3Tp17drVtX92ncSAAQM0depUbdq0SXPnztXx48eVkJCgHj166KmnnlJ4eLi/WgaAc1j1vKRgeeYS/IPMBADfs1umB+zU0y5dusgYc842Z84cRUZGaunSpTp8+LDy8vK0Z88eTZ8+XdWrV/d32wAQUKZMmaLatWsrIiJC7du319q1awt97YwZM3T55ZerUqVKqlSpkrp163be1yNwkJkAULr5I88DdqAIAKWCsXDz0oIFCzRy5EiNHTtWGzZsUMuWLdWzZ08dPny4wNevXLlSffv21YoVK7RmzRolJiaqR48eOnDggPcfDgBAaeOnTPdXnjNQBAAfchhj2eatiRMnavDgwRo0aJCaNGmiadOmqVy5cpo1a1aBr3/rrbf097//Xa1atVKjRo302muvyel0avny5cX9YwAAIOj5K9P9lecBu0YRgPdC4nZYWs+Z3sDSelb3Z0dZWVlu++Hh4QWuM8vLy9P69euVkpLiOhYSEqJu3bppzZo1Hn3WyZMndfr0acXGxhavaQCA18j00s+TTPdnnnNFEQB8yWnhJikxMVExMTGubfz48QV+7NGjR5Wfn3/OOrTq1asrPT3do9YfeeQRJSQkqFu3bl78wAAAlFJ+yHR/5jlXFAHAh4o6bbSgOpKUlpbm9uBzX9218rnnntP8+fO1cuVKRURE+OQzAAAIJsGY6cXJcwaKABBEoqOj3UKlMFWqVFFoaKgyMjLcjmdkZCguLu687/3nP/+p5557Tp999platGhRrH4BAEDBPMl0f+Y5U08BwJf8dIe0smXLqk2bNm4L188uZO/QoUOh73vhhRf01FNPacmSJWrbtq13HwoAQGnmh0z3Z55zRREASqmRI0dqwIABatu2rdq1a6dJkyYpJydHgwYNkiT1799fNWrUcK2JeP755zVmzBjNmzdPtWvXdq19iIqKUlRUlN9+DgAA7Mxfec5AEQB8yZjfNyvqeOmWW27RkSNHNGbMGKWnp6tVq1ZasmSJa0H8vn37FBLy/xNLpk6dqry8PP31r391qzN27FiNGzeuWO0DABD0/JTp/srzgJ16umrVKvXu3VsJCQlyOBxatGjROa/Ztm2brrvuOsXExKh8+fK65JJLtG/fvpJvFgAK4TDWbUUxfPhw7d27V7m5ufr222/Vvn1717mVK1dqzpw5rv09e/bIGHPOxiAx8JGZAOB7/sx0f+R5wA4Uc3Jy1LJlS02ZMqXA8z///LMuu+wyNWrUSCtXrtSmTZv0+OOPc3c+AIDtkJkAAKsF7NTT5ORkJScnF3r+H//4h6655hq98MILrmP16tUridYAwHN+nHoK+yAzAaAE2CzTA/aK4vk4nU599NFHuuiii9SzZ09Vq1ZN7du3L3CqzR/l5uYqKyvLbQMAX3I4rduAoiAzAcAadsv0oBwoHj58WNnZ2Xruued09dVX69NPP9UNN9ygv/zlL/riiy8Kfd/48eMVExPj2hITE0uwawAASh6ZCQAoioCdeno+Tufvw/A+ffrogQcekCS1atVKX3/9taZNm6bOnTsX+L6UlBSNHDnStZ+VlUXwAfAtm01TQeAhMwHAIjbL9KAcKFapUkVhYWFq0qSJ2/HGjRtr9erVhb4vPDxc4eHhvm4PAP6flw/WPW8doAjITACwiM0yPSinnpYtW1aXXHKJtm/f7nb8p59+Uq1atfzUFQAAgYfMBAAURcBeUczOztbOnTtd+7t371ZqaqpiY2OVlJSkhx9+WLfccouuuOIKde3aVUuWLNGHH36olStX+q9pAPgThzFyWDDFxIoaKL3ITADwPbtlesAOFNetW6euXbu69s+ukxgwYIDmzJmjG264QdOmTdP48eN13333qWHDhvrvf/+ryy67zF8tA8C5bLaeAf5BZgJACbBZpgfsQLFLly4yF/hDvPPOO3XnnXeWUEcAAAQmMhMAYLWAHSgCQKlgJFnxvKTg+PIRAIDSy2aZHpQ3swEAAAAA+A5XFAEUKiRuh6X1nOkNLK1ndX++YLeF7wCAwESmF5/dMp2BIgD4kpFFC9+LXwIAABSDzTKdqacAAAAAADdcUQQAX7LZrbQBACi1bJbpDBQBwJeckhwW1QEAAP5js0xn6ikAAAAAwA1XFAHAh+x2hzQAAEoru2V6wF5RXLVqlXr37q2EhAQ5HA4tWrTI7bzD4ShwmzBhgn8aBoCCnF3PYMUGFILMBIASYLNMD9iBYk5Ojlq2bKkpU6YUeP7QoUNu26xZs+RwOHTjjTeWcKcAAPgXmQkAsFrATj1NTk5WcnJyoefj4uLc9t9//3117dpVdevW9XVrAOA5m90hDf5BZgJACbBZpgfsQNEbGRkZ+uijjzR37tzzvi43N1e5ubmu/aysLF+3BgBAQCEzAQCeCNipp96YO3euKlSooL/85S/nfd348eMVExPj2hITE0uoQwC2ZbP1DAh8ZCYAFJHNMr1UDBRnzZqlfv36KSIi4ryvS0lJUWZmpmtLS0sroQ4B2JbTwg2wAJkJAEVks0wP+qmnX375pbZv364FCxZc8LXh4eEKDw8vga4AAAg8ZCYAwFNBP1CcOXOm2rRpo5YtW/q7FQA4h92euYTARmYCQNHZLdMDdqCYnZ2tnTt3uvZ3796t1NRUxcbGKikpSdLvC+vfffddvfjii/5qEwDOz2Z3SIN/kJkAUAJslukBO1Bct26dunbt6tofOXKkJGnAgAGaM2eOJGn+/Pkyxqhv377+aBEAgIBAZgIArBawA8UuXbrIXGC0PWTIEA0ZMqSEOgKAInAayWHBN4fO4Pj2Ef5BZgJACbBZpgfsQBEASgWbTVMBAKDUslmml4rHYwAAAAAArMMVRQAlJiRuh6X1nOkNrKlzwpcPNLLqwbrB8e0jAMAeyPRi1gkCDBQBwJdsNk0FAIBSy2aZztRTAAAAAIAbrigCgC85jSyZYhIkd0gDAKDUslmmc0URAAAAAOCGK4oA4EvG+ftmRR0AAOA/Nst0BooA4Es2W/gOAECpZbNMD9ipp6tWrVLv3r2VkJAgh8OhRYsWuZ3Pzs7W8OHDVbNmTUVGRqpJkyaaNm2af5oFAMCPyEwAgNUCdqCYk5Ojli1basqUKQWeHzlypJYsWaI333xT27Zt0/3336/hw4frgw8+KOFOAeA8nMa6DSgEmQkAJcBmmR6wU0+Tk5OVnJxc6Pmvv/5aAwYMUJcuXSRJQ4YM0auvvqq1a9fquuuuK/A9ubm5ys3Nde1nZWVZ2jMAnMNm01TgH2QmAJQAm2V6wF5RvJCOHTvqgw8+0IEDB2SM0YoVK/TTTz+pR48ehb5n/PjxiomJcW2JiYkl2DEAAP5BZgIAvBW0A8WXX35ZTZo0Uc2aNVW2bFldffXVmjJliq644opC35OSkqLMzEzXlpaWVoIdA7Alo///BrJYm79/EAQzMhMALGCzTA/YqacX8vLLL+ubb77RBx98oFq1amnVqlUaNmyYEhIS1K1btwLfEx4ervDw8BLuFICt2WyaCgITmQkAFrBZpgflQPHUqVN69NFHtXDhQvXq1UuS1KJFC6Wmpuqf//xnoaEHAIDdkJkAgKIIyoHi6dOndfr0aYWEuM+cDQ0NldMZHA+wBGATTqckC34v8bsNRURmAoBFbJbpATtQzM7O1s6dO137u3fvVmpqqmJjY5WUlKTOnTvr4YcfVmRkpGrVqqUvvvhCr7/+uiZOnOjHrgHgT2w2TQX+QWYCQAmwWaYH7EBx3bp16tq1q2t/5MiRkqQBAwZozpw5mj9/vlJSUtSvXz8dO3ZMtWrV0jPPPKOhQ4f6q2UAAPyCzAQAWC1gB4pdunSROc9oOy4uTrNnzy7BjgCgCGz27SP8g8wEgBJgs0wP2sdjAAAAAAB8I2CvKAJAqeA0suSBSc7g+PYRAIBSy2aZzkARQNAKidthTZ1yWZJiLKn1Z8Y4ZUzx725mRQ0AAAIVmR54mHoKAAAAAHDDFUUA8CVjrJliEiQL3wEAKLVslukMFAHAl4xF6xmCJFQAACi1bJbpTD0FAAAAALjhiiIA+JLTKTksWLQeJAvfAQAotWyW6QwUAcCXbDZNBQCAUstmmR6wU09XrVql3r17KyEhQQ6HQ4sWLXI7n5GRoYEDByohIUHlypXT1VdfrR07rLmtLgAAwYTMBABYLWAHijk5OWrZsqWmTJlyzjljjK6//nrt2rVL77//vr7//nvVqlVL3bp1U05Ojh+6BYCCGafTsg0oDJkJAL5nt0wP2KmnycnJSk5OLvDcjh079M0332jLli1q2rSpJGnq1KmKi4vT22+/rbvvvrvA9+Xm5io3N9e1n5WVZX3jAACUMDITAGC1gL2ieD5ngysiIsJ1LCQkROHh4Vq9enWh7xs/frxiYmJcW2Jios97BWBzxli3AUVAZgKARWyW6UE5UGzUqJGSkpKUkpKiX3/9VXl5eXr++ee1f/9+HTp0qND3paSkKDMz07WlpaWVYNcAbMlprNuAIiAzAcAiNsv0oBwolilTRu+9955++uknxcbGqly5clqxYoWSk5MVElL4jxQeHq7o6Gi3DQCA0ozMBAAURcCuUbyQNm3aKDU1VZmZmcrLy1PVqlXVvn17tW3b1t+tAcD/M0aSFc9cCo5vHxGYyEwAsIDNMj0oryj+UUxMjKpWraodO3Zo3bp16tOnj79bAgAX4zSWbUBxkZkAUHR2y/SAvaKYnZ2tnTt3uvZ3796t1NRUxcbGKikpSe+++66qVq2qpKQkbd68WSNGjND111+vHj16+LFrAABKHpkJALBawA4U161bp65du7r2R44cKUkaMGCA5syZo0OHDmnkyJHKyMhQfHy8+vfvr8cff9xf7QJAwYxT1kxTCY5nLsE/yEwAKAE2y/SAnXrapUsXGWPO2ebMmSNJuu+++5SWlqa8vDzt3btXTz31lMqWLevfpgHgT/w9TWXKlCmqXbu2IiIi1L59e61du/a8r3/33XfVqFEjRUREqHnz5vr444+L9LkoWWQmAPiePzPdH3kesANFAEDxLFiwQCNHjtTYsWO1YcMGtWzZUj179tThw4cLfP3XX3+tvn376q677tL333+v66+/Xtdff722bNlSwp0DAICz/JXnDmOC5LY7PpCZmamKFSsqLS2N234DNpaVlaXExEQdP35cMTExltWMiYnRZbpGYSpT7HpndFqr9fE5v6/Cw8MVHh5e4Hvat2+vSy65RJMnT5YkOZ1OJSYm6t5779Xo0aPPef0tt9yinJwcLV682HXs0ksvVatWrTRt2rRi/wwIbmQmgGBQGjPdX3kesGsUS8KJEyckSYmJiX7uBEAgOHHihGWhUrZsWcXFxWl1unVTN6Oios75fTV27FiNGzfunNfm5eVp/fr1SklJcR0LCQlRt27dtGbNmgLrr1mzxrW27ayePXtq0aJFxe4dwY/MBBBMSkum+zPPbT1QTEhIUFpamipUqCCHw1Ho685+M2HVt6jUC4xa1KPeWcYYnThxQgkJCcX+zLMiIiK0e/du5eXlWVbTGHPO76rCriYePXpU+fn5ql69utvx6tWr68cffyzwPenp6QW+Pj09vRhdo7QgM4OrN+pRz671Slum+zPPbT1QDAkJUc2aNT1+fXR0tKXTbagXGLWoRz1Jln3r+EcRERGKiIiwvC7gD2RmydSiHvWoV/x6ZLo1uJkNAJRCVapUUWhoqDIyMtyOZ2RkKC4ursD3xMXFefV6AADgW/7McwaKAFAKlS1bVm3atNHy5ctdx5xOp5YvX64OHToU+J4OHTq4vV6Sli1bVujrAQCAb/kzz2099dRT4eHhGjt2bKFrgahXcvUCuTfqlf56wWbkyJEaMGCA2rZtq3bt2mnSpEnKycnRoEGDJEn9+/dXjRo1NH78eEnSiBEj1LlzZ7344ovq1auX5s+fr3Xr1mn69On+/DEQZAL932MyiXrUo16w8Vee2/rxGABQ2k2ePFkTJkxQenq6WrVqpX//+99q3769pN8f0l67dm3XQ9ml3x/Q+9hjj2nPnj1q0KCBXnjhBV1zzTV+6h4AAEj+yXMGigAAAAAAN6xRBAAAAAC4YaAIAAAAAHDDQBEAAAAA4IaBIgAAAADADQNF2NLjjz+uIUOGePz6W2+9VS+++KIPOwIAoHTwNmOLIy8vT7Vr19a6detK5PMAO2GgiFKjd+/euvrqqws89+WXX8rhcGjTpk1KT0/XSy+9pH/84x+u8wMHDpTD4Thn27lzpyTpscce0zPPPKPMzMwS+VkAAAgkvszY4ihbtqweeughPfLII8WuBcAdA0WUGnfddZeWLVum/fv3n3Nu9uzZatu2rVq0aKHXXntNHTt2VK1atdxec/XVV+vQoUNuW506dSRJzZo1U7169fTmm2+WyM8CAEAg8WXGFle/fv20evVq/fDDD5bUA/A7BoooNa699lpVrVrV7WGjkpSdna13331Xd911lyRp/vz56t279znvDw8PV1xcnNsWGhrqOt+7d2/Nnz/fpz8DAACByNcZW5guXbrovvvu06hRoxQbG6u4uDiNGzfO7TWVKlVSp06dyGjAYgwUUWqEhYWpf//+mjNnjowxruPvvvuu8vPz1bdvXx07dkxbt25V27Ztva7frl07rV27Vrm5uVa2DQBAwPN1xp7P3LlzVb58eX377bd64YUX9OSTT2rZsmVur2nXrp2+/PJLSz8XsDsGiihV7rzzTv3888/64osvXMdmz56tG2+8UTExMdq3b5+MMUpISDjnvYsXL1ZUVJRru+mmm9zOJyQkKC8vT+np6T7/OQAACDS+zNjzadGihcaOHasGDRqof//+atu2rZYvX+72moSEBO3du7foPxyAc4T5uwHASo0aNVLHjh01a9YsdenSRTt37tSXX36pJ598UpJ06tQpSVJERMQ57+3ataumTp3q2i9fvrzb+cjISEnSyZMnfdU+AAABy5cZez4tWrRw24+Pj9fhw4fdjkVGRpLPgMW4oohS56677tJ///tfnThxQrNnz1a9evXUuXNnSVKVKlUkSb/++us57ytfvrzq16/v2uLj493OHzt2TJJUtWpVH/8EAAAEJl9l7PmUKVPGbd/hcMjpdLodO3bsGPkMWIyBIkqdm2++WSEhIZo3b55ef/113XnnnXI4HJKkevXqKTo6Wlu3bvW67pYtW1SzZk1XEAIAYDe+ytji2rJli1q3bl3inwuUZgwUUepERUXplltuUUpKig4dOqSBAwe6zoWEhKhbt25avXq113W//PJL9ejRw8JOAQAILr7K2OIiowHrMVBEqXTXXXfp119/Vc+ePc9ZVH/33Xdr/vz550xbOZ/ffvtNixYt0uDBg61uFQCAoGJ1xhbXmjVrlJmZqb/+9a8l9pmAHTjMH+9xDNiAMUbt27fXAw88oL59+3r0nqlTp2rhwoX69NNPfdwdAADBqygZW1y33HKLWrZsqUcffbREPg+wC64ownYcDoemT5+uM2fOePyeMmXK6OWXX/ZhVwAABL+iZGxx5OXlqXnz5nrggQdK5PMAO+GKIgAAAErcvn371KRJk0LPb926VUlJSSXYEYA/YqAIAACAEnfmzBnt2bOn0PO1a9dWWBiP/Ab8hYEiAAAAAMANaxQBAAAAAG4YKAIAAAAA3DBQBAAAAAC4YaAIAAAAAHDDQBEAAAAA4IaBIgAAAADADQNFAAAAAIAbBooAAAAAADcMFAEAAAAAbhgoAgAAIGjs2bNHDodDUVFRbtuaNWv83RpQqoT5uwEAAADAUxs3blSTJk30ww8/+LsVoFTjiiIAAACCxsaNG9WoUSN/twGUegwUAQAAEDQYKAIlw2GMMf5uAgAAAPBE/fr1dejQIZUpU8Z17OWXX9Ydd9zhx66A0oeBIgAAAIJCdna2oqOjtX37djVo0MDf7QClGlNPAQAAEBC2bdum66+/XosXL9bkyZNVrVo11axZU++9954kadOmTYqKilL9+vX93ClQ+jFQBAAAgN+tXLlSbdq00d69exUZGakRI0bolltuUWRkpG677Tbt379fGzduVKtWreRwOPzdLlDqMVAEAACAX508eVK33367atWqpdWrV2vNmjUqW7asXnzxRT399NPKzc3VkiVLtHHjRq1Zs8bt+YlNmzb1d/tAqcRAESgCHvYLAIB13n33XR04cEATJ05U+fLltW7dOjVt2lRly5ZVq1atJEnHjh3TtGnTdPr0aWVnZ7s2nqcI+EaYvxsAghEP+wUAwDoff/yxKlasqO7du0v6fS1ily5dJEknTpyQJFWuXNlf7QG2xBVFoAh4hhMAANbZsmWLGjdurLCwMJ04cUJ79uxRixYtJEnbt2+XJF166aX+bBGwHQaKQBEwUAQAwDqZmZmKjIyUJG3evFnGGNdAceHChapXrx5rEYESxkARKIKNGzdq0qRJqlixomt74403/N0WAABBKTExUd9//71yc3O1adMmSVKLFi302WefaeHChXrsscf83CFgPw5jjPF3E0Aw4WG/AABYa8aMGRoyZIi6d+8up9OpNWvW6G9/+5smT56sG2+8UW+//bYk6cUXX9R3332nMmXK6IMPPlCNGjX04Ycfql69en7+CYDShyuKwJ/wsF8AAErW4MGDNXbsWKWmpmr58uU6deqUFi1apCeffFJvvvmm63WbN2/W119/reHDh+vYsWNq1qyZZs2a5cfOgdKLgSLwBzzsFwAA/xg3bpwOHz6sqKgojRo1Srt27dLo0aMVGhrqes3mzZs1btw4tW/fXqGhoWrQoIGYHAf4BgNF4H942C8AAP6Vlpam7OzsAm8Yl5+fr61btyo5Odl17IcffuDmcoCPMFAE/oeH/QIA4F/btm2TpAIHfzt37lR0dLTi4+NdxzZt2uS6OyoAazFQBP6noIf9ng0fHvYLAIDvnW+guHnzZrVs2dK1f+LECR04cEBNmjQpsf4AO2GgCPwPD/sFAMC/RowYIWOMKlaseM65Pw8Ut2zZoosuukhly5YtwQ4B+2CgCPyPpw/7PXLkiHr16qXy5curYcOGWr58uT/bBgDAFp544glNmDDBtd+hQwdt3rzZjx0BpVuYvxsAAsWFHvY7c+ZMSdKwYcMUFxenI0eO6LPPPtPNN9+sHTt2KDY21p/tAwAAAJZxGO4pDEjy7GG/2dnZio2N1a5du1SzZk1JUpcuXTRgwAANGjTIzz8BAAAAYA2uKAL/M3jwYB04cECvvPKKjhw5IofD4XrY78MPPyxJ2rFjh6KiolyDRElq3rw5dz0FAABAqcIaReAPLvSw3+zsbEVHR7u9Jzo6WtnZ2f5oFwAAAPAJBorAn5zvYb9RUVHKyspyO5aVlaWoqKiSag8AAMB2Vq5cqVOnTvm7DVthoAj8yfme4dSgQQNlZ2frwIEDrmNbtmxR06ZNS6w/AACAs7Zt26a6det69Z6PP/5Yd999t0aNGqUff/zR7dyvv/6qK6+80qt6r732mgYMGKDZs2dLkhYsWKDGjRurbt26Gjt2rFe1CtOjRw/t2bPHklrwDGsUgT8530AxKipKffr00dixY/Xyyy9r+fLl2rRpk/r06VPSbQIAACgvL0979+71+PXz5s1T//79dfXVV2v79u16+eWX9dprr6lfv36uel988YXH9SZNmqTHHntMPXv21D/+8Q8dPHhQ//rXv/TAAw8oPz9fL774omrUqKEhQ4Z4VO/iiy8u8PiZM2d04403KiIiQpK0YcMGj3tE0TBQBP5kxIgRGjFiRKHnX3nlFQ0YMECVK1dWzZo1tWDBAh6NAQAAfGLkyJHnPX/kyBGv6k2YMEETJ07UfffdJ0l65513dOedd+q3337TXXfd5XV/r776qqZPn67bbrtN33//vdq1a6dp06a5atWoUUNTp071eKC4efNmdevWTZdeeqnrmDFGGzduVNeuXVWtWjWve0TR8HgMAAAAIECFhoaqVatW59xM76zs7Gxt2LBB+fn5HtWLiorS5s2bVadOHdexFStW6LrrrtOECRN0ww03KCEhweN65cqV048//qikpCRJUkREhNavX+9alrNz505dcskl+vXXXz2q99VXX2nAgAHq16+fxo4dq5CQ31fKlSlTRhs3blSTJk08qoPi44oiAAAAEKDq16+vBx54QLfffnuB51NTU9WmTRuP60VHRysjI8NtoNi1a1ctXrxY1157rfbv3+9Vf+XKlVNOTo5rv2rVqufc5O/MmTMe1+vUqZPWr1+voUOHqmPHjnrrrbdUr149r3qCNbiZDQAAABCg2rZtq/Xr1xd63uFwyJsJgu3atdMnn3xyzvHOnTvrww8/1KRJk7zqr1GjRtq0aZNrPy0tTbVq1XLt//jjj6pdu7ZXNWNiYvT222/rb3/7my677DJNnz5dDofDqxooPq4oAgAAAAHqxRdfVG5ubqHnW7ZsKafT6XG9Bx54QF9//XWB57p06aIPP/xQr7/+usf1nn/+eZUvX77Q8/v27dPf/vY3j+v90aBBg3TZZZepX79+Xl2VhDVYowgAAAAgYDmdTp04cULR0dFcWSxBDBQB+M2ZM2f0ww8/KD09XZIUFxenJk2aqEyZMsWqu27dOtdjTho3bqy2bdsWu1cAALzhq4zztTNnzujgwYOum9PAvph6CqDEOZ1OjRkzRlOmTFFmZqbbuZiYGA0fPlxPPPGE605nntq/f7/69u2rr776ShUrVpQkHT9+XB07dtT8+fNVs2ZNq34EAAAK5KuMK8zGjRt18cUXe3yX0gv54YcfLK1ndX9W10PhuJkNgBI3evRoTZ8+Xc8995x27dqlnJwc5eTkaNeuXXr++ec1ffp0paSkeF337rvv1unTp7Vt2zYdO3ZMx44d07Zt2+R0OnX33Xf74CcBAMCdrzLufAJ9gqDV/QX6z1taMPUUQImLi4vT3Llz1bNnzwLPL126VP3791dGRoZXdSMjI/X111+rdevWbsfXr1+vyy+/XCdPnixyzwAAeMLqjPvLX/5y3vOZmZlauXKlx1fYLr744vOeP3XqlH766SeP61ndn9X1UHRMPQVQ4k6cOKGEhIRCz8fHx7s9k8lTiYmJOn369DnH8/Pzz/t5AABYxeqM+/DDD9W9e3dVr169wPPeDpi2bt2qW2+91e05in906NAh/fTTT37rz+p6KDquKAIocb169dKZM2f01ltvqUqVKm7njh49qjvuuEOhoaFavHixV3Xff/99Pfvss5oyZYrrBjbr1q3Tvffeq0ceeUTXX3+9VT8CAAAFsjrjWrRooREjRuiuu+4q8HxqaqratGnj8QCqbdu2uuuuu3TPPfdYUs/q/qyuh6LjiiKAEjdt2jRdc801io+PV/PmzV3fGmZkZGjz5s1q0qSJxwFaqVIlt1tl5+TkqH379goL+/3X25kzZxQWFqY777yTgSIAwOeszDhJatOmjTZs2FDowCk8PNyrO5R26tRJ27dvL/R8hQoVdMUVV/itP6vroei4ogjAL5xOp5YuXapvvvnG7dbhHTp0UI8ePTy+G9zcuXM9/swBAwYUqVcAALxhVcZJUm5urvLz81WuXDlftVssVvcX6D+vnTBQBAAAAAC4YeppCcnMzHT7RikmJsbyzwjUB6RmZGQoNzfXkr6eeOIJDRs27Jw5/0V1+vRpSx58e+bMGa1YsUL79u1TrVq11LVrV4WGhnr8/vXr16tNmzbF7uOP8vPztXfvXtWuXVshISHKzc3V+++/L6fTqa5duxa6SPx8du3apdWrV+vQoUMKCQlR3bp11b17d0VHR1vae05OjtavX+/V1BcApVsgZpyV+SaRcd4g44ASYOBTM2bMMI0bNzYhISFuW+PGjc1rr71m6WelpqaakJAQj1+fl5dnHn74YVOvXj1zySWXmJkzZ7qdT09P96peVlaW6devn0lKSjL9+/c3ubm55u9//7txOBwmJCTEXHHFFSYzM9OjWpmZmedsx48fN2XKlDHffvut65inFixYYHJzc137L7/8sklKSjIhISGmcuXK5oknnvC4ljHGDB8+3Hz44YfGGGPS0tJMo0aNTGhoqKlevboJDQ01zZs3N/v37/e4nsPhMPXq1TPPPPOMOXDggFe9FGTjxo0mPj7ehISEmGbNmpl9+/aZZs2amfLly5uoqChTqVIls3btWo/rZWdnm7/+9a/G4XC4/nnGxcWZ0NBQExUVZSZPnlzsnv/I27/LAEo/f2aclflmDBlXXGQcUDIYKPrQCy+8YMqVK2dGjx5tVqxYYbZu3Wq2bt1qVqxYYVJSUkz58uXNhAkTLPs8b3/xjB071lSvXt1MmDDB/OMf/zAxMTFmyJAhrvPp6enG4XB4XG/48OGmUaNG5t///rfp0qWL6dOnj2nWrJlZvXq1+eKLL0yTJk3Mo48+6lGtPw+sz25nf4Gf/V9PhYSEmIyMDGOMMbNmzTIRERFmzJgx5qOPPjJPP/20KV++vJkxY4bH9apXr242b95sjDHm5ptvNt26dTNHjhwxxhjzyy+/mGuvvdb89a9/9biew+EwgwcPNtWqVTNhYWGmV69eZuHChebMmTMe1/ijnj17mr/+9a9m8+bNZsSIEaZx48bmpptuMnl5eeb06dPm9ttvN926dfO43pAhQ0ynTp3M5s2bzY4dO8xf//pXM2rUKJOTk2NmzpxpypUrZ956660i9VoQQhTAn/kz46zMN2PIODKOjENwYKDoQ0lJSWbBggWFnp8/f75JTEz0uF7r1q3PuzVq1MirXzz169d3fWNojDE7duww9evXNwMHDjROp9PrK4qJiYnm888/N8YYc+DAAeNwONzqL1682DRs2NCjWjVq1DC9evUyn3/+uVm5cqVZuXKlWbFihQkNDTWzZ892HfOUw+FwhWi7du3MCy+84Hb+lVdeMa1bt/a4XkREhNm1a5cxxpiaNWuab7/91u385s2bTZUqVbzu7/Tp0+Y///mPueaaa1zf3o4aNcps377d41rGGFOpUiWzdetWY4wxJ0+eNKGhoW49btmyxVSuXNnjelWqVDHr1q1z7R87dsxERESYnJwcY4wxkydPNq1atfKqv/Nt0dHRhChgM4GccVbmmzFkHBlHxiE4sEbRhw4fPqzmzZsXer558+Y6evSox/WsfkDqgQMH1KxZM9d+/fr1tXLlSl155ZW644479MILL3hcS/r9561fv74kKSEhQZGRkbroootc55s1a6a0tDSPam3atEl33XWXnnrqKb3xxhuqUaOGJMnhcKhdu3Zq0qSJV72dfa/0+xqEHj16uJ3r0aOHHnnkEY9rXXTRRVq7dq3q1KmjChUqKCsry+38iRMn5HQ6ve4xLCxMN954o2688UYdOHBAs2bN0pw5c/TPf/5TnTp10qpVqzyqY4xxPR7iz/8rSaGhoV71d+bMGbc1GlFRUTpz5oxycnJUrlw59ejRQw899JDH9XJzc3XPPfcU+u/H3r179cQTT3hcD0DwC+SMszLfJDKOjCPjECT8PVItzS6//HLTv39/c/r06XPOnTlzxvTv399cccUVHtdr06aNeeWVVwo9//3333v1DVWdOnXMZ599ds7xAwcOmIsuush0797dq3oJCQlm/fr1rv2+ffu6vuE05vdv+CpVquRxPWN+/xY0ISHBzJs3zxhjTFhYmPnhhx+8qmHM799mvv766+b99983NWvWNF9//bXb+S1btpjo6GiP682ePdvUrFnTrFixwrz++uumcePG5rPPPjMHDhwwn3/+uWnevLm5++67Pa73x2lDBfnss8/Mbbfd5nG9q666ytx1111m//795oknnjD169c3gwYNcp3/+9//bi6//HKP63Xv3t0MGzbMtT9hwgQTHx/v2t+wYYNX3y537NjRTJo0qdDzvpiWM2jQIPP6669bWhOAdQI543yRb8aQcWeRccVndcZ17drVPPnkk66rqsVldX9keslgoOhDGzduNHFxcaZy5crmhhtuMEOHDjVDhw41N9xwg6lcubKJj493rQHwxH333WdGjBhR6PmdO3eaLl26eFzvrrvuMnfeeWeB5/bv32/q16/v1S+yq6++2kybNq3Q87NnzzYdO3b0uN5ZP/zwg2nZsqXp27dvsUL0j9vTTz/tdv61117zalqOMca8+OKLply5ciYyMtKULVvWbZ3J9ddfb06cOOFVf+cLUW+tXbvWVK5c2YSEhJiqVauaLVu2mPbt25u4uDiTkJBgIiMjC/wPqMKsX7/exMbGmri4OJOUlGTKli1r3n77bdf5yZMnm/79+3tc75lnnjHjxo0r9Py+ffvMwIEDPa7nic6dO5tatWqZli1bWloXgDUCOeN8lW/GkHFFQcady+qMGzBggOncubNXS6TOx+r+yPSSwXMUfezEiRN68803C3zg6m233Wb5LZe9sXfvXv3444/q2bNngecPHjyoZcuWefyQ8mPHjikkJEQVK1Ys8Pwnn3yiyMhIdenSxete8/LyNHr0aK1YsULvvfdeoVOTimrx4sUqU6ZMoX8WhTl+/LiWLVumXbt2yel0Kj4+Xp06dVKDBg28qvPFF1+oU6dOblNniisnJ0c//vijGjZsqKioKP3222966623dOrUKXXv3l0NGzb0qt6hQ4e0ePFi5ebm6sorryzS1KhAsHXr1qDtHYDnrMw4X+abRMYVBRlXMKszLisry9L/VrW6PzLdtxgoAgAAAADccDMbAKVCXl6eFi1apDVr1rhdve/YsaP69OmjsmXL+rlDAACKpiQzLiMjQ6+++qrGjBnj1fv279+vihUrKioqyu346dOntWbNGl1xxRUe1/rll1+0adMmtWzZUrGxsTp69Khmzpyp3Nxc3XTTTWrcuLFXvaFouKIIIOjt3LlTPXv21MGDB9W+fXtVr15d0u9h9+2336pmzZr65JNPXHctBAAgWJR0xm3cuFEXX3yx8vPzPXr9oUOH1KdPH61fv14Oh0O33XabXnnlFdeAMSMjQwkJCR7XW7t2rXr06KGsrCxVrFhRy5Yt00033aSwsDA5nU4dPHhQq1ev1sUXX1zknxGeYaAIIOh1795d5cuX1+uvv37OWoqsrCz1799fp06d0tKlS/3UIQAARWN1xm3atOm853/88Uf17dvX44HdgAEDtH37dk2ePFnHjx/X6NGj5XA49Omnn6pSpUrKyMhQfHy8x48s6d69u2rXrq2JEyfq1Vdf1UsvvaSrr75aM2bMkCTdeeed+vXXX7Vw4UKP6qHoGCgCCHrlypXT2rVr3Z6Z9kebN29W+/btdfLkyRLuDACA4rE640JCQuRwOFTQEODscYfD4fFAsUaNGlq4cKHatWsnSa7poWlpaVq+fLlOnz7t1RXF2NhYffXVV2rcuLFOnz6tiIgIrVmzxlV/w4YNuu6667R//36P6qHoQvzdAAAUV8WKFbVnz55Cz+/Zs6fQuxUCABDIrM642NhYzZgxQ7t37z5n27VrlxYvXuxVf5mZmapUqZJrPzw8XO+9955q166trl276vDhw17Vy8vLU2RkpCSpTJkyKleunKpUqeI6X6VKFf3yyy9e1UTRMFD0szvvvFNvvPGGZfWuvPJKPfXUU5ZdOalTp47uuusuHTx40JJ6VvZn9c8a6PUC+Z+FZH1/3tS7++671b9/f/3rX//Spk2blJGRoYyMDG3atEn/+te/NHDgQA0ZMsSSvgD4TyD/3gr0DAn0emRc4azOuDZt2ujgwYOqVatWgVuNGjUKvNpYmLp1654znTUsLEzvvvuu6tatq2uvvdbjWpKUmJioXbt2ufbnz5+v+Ph41/6hQ4fcBo7wHQaKfrZr1y49/vjjatWqlSX1kpKStHz5cjVq1MiSegMGDFB+fr46depkST0r+7P6Zw30eoH8z0Kyvj9v6j355JN65JFHNGHCBLVq1UoJCQlKSEhQq1atNGHCBD3yyCMaN26cJX0B8J9A/r0V6BkS6PXIuMJZnXFDhw5V7dq1Cz2flJSk2bNne1wvOTlZ06dPP+f42cGit/+Ne+utt7pdhezVq5frCqMkffDBB65pqPAt1igGiEB/QKrVrOzP6p810OtZLdD789bu3bvdbh1u9YOrAfhfIP/eCvQMCfR6Vgv0/rwViBl35swZnTx5stA/5zNnzujAgQOqVauWJZ938uRJhYaGKjw83JJ6KBwDRdja2QXbAACUNmQcgOJg6mkJ2rp1q5YsWaIPPvjAbfPG0aNH9cILL+iGG25Qhw4d1KFDB91www2aMGGCjhw5Ymm/aWlpuvPOO716z6lTp7R69Wpt3br1nHO//fabXn/9dY9rbdu2TbNnz9aPP/4o6ffbNd9zzz2688479fnnn3vVV2HCw8O1bdu2YtfJycnR7Nmz9Y9//EOTJ0/2epH1hg0btHv3btf+G2+8oU6dOikxMVGXXXaZ5s+f71W9e++9V19++aVX77mQyZMnq3///q5e3njjDTVp0kSNGjXSo48+qjNnznhV79ChQxozZoyuvPJKNW7cWE2bNlXv3r01c+ZMj++M5qmi/F0GUPICOeOszDeJjCPjrGN1xtmtHs7DwOd+/vln06JFC+NwOExISIhxOByu/x8SEuJxnbVr15pKlSqZGjVqmAEDBphRo0aZUaNGmQEDBpiaNWua2NhY891331nWd2pqqlf9bd++3dSqVcv1s11xxRXm4MGDrvPp6eke1/vkk09M2bJlTWxsrImIiDCffPKJqVq1qunWrZu58sorTWhoqFm+fLnHvT3wwAMFbiEhIaZ///6ufU81btzY/PLLL8YYY/bt22dq165tYmJizCWXXGJiY2NNtWrVzK5duzyu16JFC7Ns2TJjjDEzZswwkZGR5r777jNTp041999/v4mKijIzZ870uN7ZfwYNGjQwzz33nDl06JDH7y3IU089ZSpUqGBuvPFGExcXZ5577jlTuXJl8/TTT5tnn33WVK1a1YwZM8bjet99952JiYkxbdq0MZdddpkJDQ01d9xxh7nllltMxYoVTceOHU1WVlaxev4jb/8uAyh5gZxxVuabMWQcGRfYGWe3eigcU09LQO/evRUaGqrXXntNderU0dq1a/XLL7/owQcf1D//+U9dfvnlHtW59NJL1bJlS02bNu2cqSTGGA0dOlSbNm3SmjVrPKp3oauZu3bt0oMPPujxN1833HCDTp8+rTlz5uj48eO6//77tXXrVq1cuVJJSUnKyMjw+Dk6HTt21JVXXqmnn35a8+fP19///nfdc889euaZZyRJKSkpWr9+vT799FOPegsJCVHLli3PuX30F198obZt26p8+fJyOBwef4sbEhKi9PR0VatWTbfffrt2796tjz/+WDExMcrOztYNN9ygqlWrat68eR7VK1eunLZt26ZatWrp4osv1j333KPBgwe7zs+bN0/PPPOMfvjhB4/7W7ZsmT788EO99dZbyszMVHJysgYPHqxrrrlGISHeTSaoX7++XnjhBf3lL3/Rxo0b1aZNG82dO1f9+vWTJC1cuFCjRo3Sjh07PKp32WWXqXv37ho7dqwk6c0339TkyZP1zTff6Ndff9WVV16pK664Qi+99JJH9az+uwyg5AVyxlmZbxIZR8b5N+PsVg/F4N9xqj1UrlzZbNy40RhjTHR0tPnxxx+NMcYsX77ctGrVyuM6ERERZtu2bYWe37Ztm4mIiPC43p+vcBa0efONTbVq1cymTZtc+06n0wwdOtQkJSWZn3/+2atvXKOjo82OHTuMMcbk5+ebsLAws2HDBtf5zZs3m+rVq3vc2/jx402dOnXO+YY2LCzM/PDDDx7XOcvhcJiMjAxjjDF169Y1n376qdv5r776yiQmJnpcr3LlymbdunXGmN//HFNTU93O79y500RGRhapv7y8PLNgwQLTs2dPExoaahISEsyjjz7q+vP1RGRkpNm7d69rv0yZMmbLli2u/T179phy5cp5Ve/nn3927efn55syZcqY9PR0Y4wxn376qUlISPC4ntV/lwGUvEDOOCvzzRgyjozzb8bZrR6KjjWKJSA/P18VKlSQ9PtDQs8+M6dWrVravn27x3Xi4uK0du3aQs+vXbtW1atX97hefHy83nvvPTmdzgK3DRs2eFxL+n39RlhYmGvf4XBo6tSp6t27tzp37qyffvrJq3pnv1EOCQlRRESEYmJiXOcqVKigzMxMj2uNHj1aCxYs0D333KOHHnpIp0+f9qqX8/X322+/uT3fR5Jq1Kjh1Xqa5ORkTZ06VZLUuXNn/ec//3E7/84776h+/fpF6rNMmTK6+eabtWTJEu3atUuDBw/WW2+9pYYNG3pcIy4uzrUuZ8eOHcrPz3dbp/PDDz+oWrVqHterVq2aDh065NrPyMjQmTNnXHdMa9CggY4dO+ZxPav/LgMoeYGccVbn29kaEhknkXEXYnXG2a0eii7swi9BcTVr1kwbN25UnTp11L59e73wwgsqW7aspk+frrp163pc56GHHtKQIUO0fv16XXXVVa7AzMjI0PLlyzVjxgz985//9LhemzZttH79evXp06fA8w6Hw6sHrjZq1Ejr1q1T48aN3Y5PnjxZknTdddd5XKt27drasWOH6tWrJ0las2aNkpKSXOf37dt3TnBdyCWXXKL169dr2LBhatu2rd56661i3Q3uqquuUlhYmLKysrR9+3Y1a9bMdW7v3r2qXLmyx7Wef/55derUSZ07d1bbtm314osvauXKlWrcuLG2b9+ub775RgsXLixyr2clJSVp3LhxGjt2rD777DOP39evXz/1799fffr00fLlyzVq1Cg99NBD+uWXX+RwOPTMM8/or3/9q8f1rr/+eg0dOlQTJkxQeHi4nnrqKXXu3Nn1nKTt27erRo0aHtez+u8ygJIXyBlnZb5JZBwZ59+Ms1s9FIMfr2baxpIlS8x///tfY4wxO3bsMA0bNjQOh8NUqVLFq8Xqxhgzf/580759exMWFua6/B4WFmbat29vFixY4FWtVatWmU8++aTQ89nZ2WblypUe13v22WdNcnJyoefvuece43A4PKo1depUs3jx4kLPp6SkmLvuusvj3v7s7bffNtWrVzchISFFmpYzbtw4t23JkiVu5x966CFz6623elXz119/NY888ohp0qSJiYiIMGXLljW1atUyt912m9c3cKhdu7Y5evSoV+85n/z8fPPMM8+Ya6+91jz77LPG6XSat99+2yQmJprKlSubgQMHmuzsbI/rnThxwtx8882uv8cdO3Z0uzHC0qVLzTvvvONxPav/LgPwj0DNOCvzzRgyjozzb8bZrR6KjpvZ+MmxY8dUqVKlIn/bd/r0aR09elTS79NZy5QpY2V7trB//36tX79e3bp1U/ny5f3dji399ttvOnPmjKKiovzdCoAAQsYVHxnnf2Qcgh0DRQAAAACAG25mAwAAAABww0ARAAAAAOCGgaIf5Obmaty4ccrNzaWeH2tRj3oAAl8g/14I5N6oRz3qodj8ey8de8rMzDSSTGZmJvX8WIt61CvNvvjiC3Pttdea+Ph4I8ksXLjwgu9ZsWKFad26tSlbtqypV6+emT17ts/7BC4kkH8vBHJv1KMe9UoPf2U6VxQBoBTKyclRy5YtNWXKFI9ev3v3bvXq1Utdu3ZVamqq7r//ft19991aunSpjzsFAADn469MDytKswCAwJacnKzk5GSPXz9t2jTVqVNHL774oiSpcePGWr16tf71r3+pZ8+evmoTAABcgL8ynYGihZxOpw4ePKgKFSqc9/mIWVlZbv9bXHaqF8i9US946xljdOLECSUkJCgkxLqJFr/99pvy8vIsq2eMOed3S3h4uMLDw4tde82aNerWrZvbsZ49e+r+++8vdm2gIKUhMwO5N+pRz671yHQLM93ryaooVFpampHExsYWpFtaWpplvw9OnTpl4qqFWtpfVFTUOcfGjh17wV6kC69naNCggXn22Wfdjn300UdGkjl58mQx/iSAgpGZbGxsvtzI9OJnOlcULVShQgVJUlpamqKjo/3cDQBPZWVlKTEx0fXvsBXy8vKUfjhfe9fXVnSF4n+jmXXCqVpt9pzz+8WKbx4BfyAzAfgCmW4dBooWOnv5ODo6mtADgtD5pr8VVVQFh6IqFL+uU779/RIXF6eMjAy3YxkZGYqO/r/27jw8qupw4/g7SWASwAybkEQCAZVVIBSEhqUmlS3QqLVVRCoJKFYFUVJRU2VRK3GlVEVwAaJVFle0YEEWwyK4AMYFLBBMQkACIpKQCAlm5vcHP0bHLGSSO5nlfj/Pc56n986555yxNW/P3HPuDVdYWJjh/QFkJgBPItPrnulMFAHAg8oddpU7jGnHk+Li4vTee++5nFuzZo3i4uI82i8AAP7CbJnO6zEAIAAVFxcrKytLWVlZks48KjsrK0v79++XJKWlpWns2LHO+rfccou++eYb3X333frf//6nZ599Vq+99pqmTJnijeEDAID/561M544iAHiQXQ7ZVfefH91tY9u2bUpISHAep6amSpKSk5OVkZGhQ4cOOQNGktq3b6+VK1dqypQp+te//qU2bdroxRdf5NUYAAD8P7NluuX/n57j9+bOnavHH39cBQUF6tmzp55++mn17dvXrTYmT56sDz/8UF999ZW6dOninLXXVFFRkWw2mwoLC9lvAfgRT/y7e7bNb3e3MWzje1SnA/x9QZ35Ql5KZCYAzyDTjRMQS0+XLVum1NRUzZgxQzt27FDPnj01bNgwHTlyxO22xo8fr1GjRnlglAAAeBd5CQCoqYCYKM6ePVsTJkzQuHHj1LVrV82fP1+NGjXSwoUL3Wrnqaee0sSJE9WhQwcPjRSA2ZQ7HIYVoK7ISwCoPbNlut9PFMvKyrR9+3YNHjzYeS4oKEiDBw/W1q1bPdp3aWmpioqKXAoAAL7Im3kpkZkA4G/8fqJ49OhRlZeXq3Xr1i7nW7durYKCAo/2nZ6eLpvN5izR0dEe7Q+A/zm78d2IAtSFN/NSIjMB+D+zZbrfTxS9KS0tTYWFhc6Sn5/v7SEB8DF2OVRuQPGXUAGqQmYC8Hdmy3S/fz1Gy5YtFRwcrMOHD7ucP3z4sCIiIjzat9VqldVq9WgfAAAYwZt5KZGZAOBv/P6OYsOGDdW7d2+tW7fOec5ut2vdunWKi4vz4sgAwHzLVOC7yEsAqBuzZbrf31GUzrx0Mjk5WX369FHfvn01Z84clZSUaNy4cW61k52dreLiYhUUFOjkyZPO90J17dpVDRs29MDIAQQ6o55u5i9PSINvIy8BoPbMlukBMVEcNWqUvvvuO02fPl0FBQWKjY3VqlWrXDbsp6SkKDc3V5mZmVW2c9NNN2nDhg3O4169ekmScnJyFBMT46nhAwBQL8hLAEBNBcREUZImTZqkSZMmVfl5Tk6OEhISqm2julAEgNqw/38xoh3ACOQlANSO2TI9YCaK1SksLNS+ffu0cuVKbw8FgMmcfcKZEe0AnkZeAkDVzJbpppgo2mw2HThwwNvDAADAp5GXAICzTDFRrG/2w71k/9GYB8oGRew1pB0A3lHuOFOMaAcIRGQmAH9htkz3+9djAAAAAACMxR1FAPAgs218BwAgUJkt05koAoAH2WVRuSyGtAMAALzHbJnO0lMAAAAAgAvuKAKAB9kdZ4oR7QAAAO8xW6YzUQQADyo3aJmKEW0AAIDaM1umB8TS040bNyopKUlRUVGyWCxavny5223k5ubqxhtvVPv27RUWFqYLL7xQM2bMUFlZmfEDBgDAC8hLAEBNBcQdxZKSEvXs2VPjx4/X1VdfXas2/ve//8lut+u5557TRRddpK+++koTJkxQSUmJnnjiCYNHDMAszPbrI3wbeQkAtWe2TA+IiWJiYqISExPr1Mbw4cM1fPhw53GHDh20e/duzZs3j+ADUGt2h0V2hwFPSDOgDYC8BIDaM1umB8RE0VMKCwvVvHnzKj8vLS1VaWmp87ioqKg+hgUAgE85V15KZCYA+JuA2KPoCdnZ2Xr66af117/+tco66enpstlszhIdHV2PIwTgD84uUzGiAL6oJnkpkZkA/J/ZMp2JYiUOHjyo4cOH65prrtGECROqrJeWlqbCwkJnyc/Pr8dRAvAH5QoyrAC+pqZ5KZGZAPyf2TKdpae/8u233yohIUH9+/fX888/X21dq9Uqq9VaTyMDAMB3uJOXEpkJAP6GieIvHDx4UAkJCerdu7cWLVqkoCD/mO0D8F0Ogza+O/xk4zvMgbwEYEZmy/SAmCgWFxcrOzvbeZyTk6OsrCw1b95cbdu2rVEbBw8eVHx8vNq1a6cnnnhC3333nfOziIgIw8cMAEB9Iy8BADUVEBPFbdu2KSEhwXmcmpoqSUpOTlZGRoYkaebMmcrIyFBubm6lbaxZs0bZ2dnKzs5WmzZtXD5zOBweGTeAwGe2dy7Bt5GXAFB7Zsv0gJgoxsfHnzOccnJyFB8fX+XnKSkpSklJMXZgAEyv3BGkckfdl+WV8/+/YQDyEgBqz2yZHhATxXNxOBzKzMzU5s2bvT0UAAB8FnkJADjLFBNFi8WivLw8bw8DgAnZZZHdgMdg2+UnPz/Cr5GXAFA1s2W6KSaK9S2o9WcKCg83pC17wcWGtHNWUMReQ9sDUD2z7WcA3EVmAvAXZst0nmcNAAAAAHDBHUUA8CDjNr77xzIVAAACldkynYkiAHjQmf0MdV9iYkQbAACg9syW6Sw9BQAAAAC44I4iAHiQXUEqN9ET0gAACFRmy3QmigDgQWbbzwAAQKAyW6YHxNLT9PR0XXrppTrvvPPUqlUrXXXVVdq9e7dbbXz//fcaPny4oqKiZLVaFR0drUmTJqmoqMhDowYAoP6RmQCAmgiIieKGDRs0ceJEffTRR1qzZo1Onz6toUOHqqSkpMZtBAUF6corr9S7776rPXv2KCMjQ2vXrtUtt9ziwZEDCHR2BRlWACOQmQBQO2bL9IBYerpq1SqX44yMDLVq1Urbt2/X7373uxq10axZM916663O43bt2um2227T448/buhYAQDwJjITAFATATFR/LXCwkJJUvPmzWvdxrfffqu33npLl112WZV1SktLVVpa6jxmyQ2AXyt3WFTuqPtjsI1oA6gMmQkANWO2TPeP+55usNvtuvPOOzVgwABdcsklbl8/evRoNWrUSBdccIHCw8P14osvVlk3PT1dNpvNWaKjo+sydAABqPz/n5BmRAGMRmYCQM2ZLdP9Y5RumDhxor766istXbq0Vtf/85//1I4dO/TOO+9o3759Sk1NrbJuWlqaCgsLnSU/P7+2wwYAoN6RmQCAqgTU0tNJkyZpxYoV2rhxo9q0aVOrNiIiIhQREaHOnTurefPmGjRokKZNm6bIyMgKda1Wq6xWa12HDSCA2R1BshvwKG27nzxKG/6DzAQA95gt0wNiouhwOHT77bfr7bffVmZmptq3b29Iu3a7XZJc9lQAgDuMWmJS7icv54XvIzMBoHbMlukBMVGcOHGiFi9erHfeeUfnnXeeCgoKJEk2m01hYWE1auO9997T4cOHdemll6pJkybauXOnpk6dqgEDBigmJsaDowcAoP6QmQCAmgiIPYrz5s1TYWGh4uPjFRkZ6SzLli1z1klJSVF8fHyVbYSFhemFF17QwIED1aVLF02ZMkVXXHGFVqxYUQ/fAECgsuvnp6TVpdi9/UUQMMhMAKgds2V6QNxRdNRgnW9OTo4SEhKq/DwhIUFbtmwxclgAYNiLdf3l5bzwfWQmANSO2TI9ICaK51JYWKh9+/Zp5cqV3h4KAAA+jcwEAEgmmSjabDYdOHDA28MAYELljiCVG/CENCPaAGqCzASAypkt000xUfRnQRF7DW3PXnCxoe0ZPT4AAGqLzAQA4zBRBAAPsssiuyyGtAMAALzHbJnORBEAPMhsy1QAAAhUZst0/xglAAAAAKDecEcRADyoXEEqN+A3OSPaAAAAtWe2TGeiCAAeZHdYZHcYsJ/BgDYAAEDtmS3T/WM6CwAAAACoNwExUZw3b5569Oih8PBwhYeHKy4uTv/9739r3d7333+vNm3ayGKx6Pjx48YNFIDp2P9/mUpdiz0w/lzDB5CZAFA7Zst0/xjlObRp00aPPPKItm/frm3btun3v/+9rrzySu3cubNW7d14443q0aOHwaMEYEZ2R5BhBTACmQkAtWO2TPePUZ5DUlKSRowYoYsvvlgdO3bUww8/rCZNmuijjz5yu6158+bp+PHjuuuuuzwwUgAAvIvMBADURMA9zKa8vFyvv/66SkpKFBcX59a1u3bt0oMPPqiPP/5Y33zzzTnrl5aWqrS01HlcVFTk9ngBBLZyWVRuwIt1jWgD+DUyEwBqzmyZHhB3FCXpyy+/VJMmTWS1WnXLLbfo7bffVteuXWt8fWlpqUaPHq3HH39cbdu2rdE16enpstlszhIdHV3b4QMIUGZbpgL/QGYCgPvMlun+Mcoa6NSpk7KysvTxxx/r1ltvVXJysnbt2lXj69PS0tSlSxf95S9/ceuawsJCZ8nPz6/N0AEAqFdkJgDgXAJmotiwYUNddNFF6t27t9LT09WzZ0/961//qvH169ev1+uvv66QkBCFhITo8ssvlyS1bNlSM2bMqPQaq9XqfGrc2QIAv1Sun5eq1K0AxiEzAcB9Zsv0gNujeJbdbnfZC3Eub775pk6ePOk8/vTTTzV+/Hht2rRJF154oSeGCACATyAzAQC/FhATxbS0NCUmJqpt27Y6ceKEFi9erMzMTK1evbrGbfw62I4ePSpJ6tKli5o2bWrkcAGYiFF7EfxlPwN8H5kJALVjtkwPiInikSNHNHbsWB06dEg2m009evTQ6tWrNWTIEGedlJQU5ebmKjMz03sDBWA65Y4glRsQCEa0AUhkJgDUltky3T9GeQ4LFixQbm6uSktLdeTIEa1du9Yl8CQpJydH8fHxNW4zPj5eDoeDX0YB+LW5c+cqJiZGoaGh6tevnz755JNq68+ZM0edOnVSWFiYoqOjNWXKFJ06daqeRov6QGYCgP/xRp4HxB3FcyksLNS+ffu0cuVKbw8FgMk4ZJHdgPclOWrRxrJly5Samqr58+erX79+mjNnjoYNG6bdu3erVatWFeovXrxY9957rxYuXKj+/ftrz549SklJkcVi0ezZs+v8HeAfyEwAqJy3Mt1beR4QdxTPxWaz6cCBA2rSpIm3hwLAZM4uUzGiuGv27NmaMGGCxo0bp65du2r+/Plq1KiRFi5cWGn9LVu2aMCAAbr++usVExOjoUOHavTo0ef81RKBhcwEgMp5K9O9leemuKOInwVF7DW0vSFB1xja3hr764a2BwSaoqIil2Or1Sqr1VqhXllZmbZv3660tDTnuaCgIA0ePFhbt26ttO3+/fvrlVde0SeffKK+ffvqm2++0XvvvacbbrjB2C8B+AmjM9NecLGh7Rk9PgD1qyaZ7s08Z6IIAB5kd1hkd9R9mcrZNqKjo13Oz5gxQzNnzqxQ/+jRoyovL1fr1q1dzrdu3Vr/+9//Ku3j+uuv19GjRzVw4EA5HA799NNPuuWWW/T3v/+9zuMHAMDfeSPTvZnnTBQBwIPKFaRyA1b5n20jPz/f5UXlld1NrK3MzEzNmjVLzz77rPr166fs7GzdcccdeuihhzRt2jTD+gEAwB/5S6YbledMFAHAj4SHh7uESlVatmyp4OBgHT582OX84cOHFRERUek106ZN0w033KCbbrpJktS9e3eVlJTo5ptv1n333aegIFNsawcAoF7UJNO9meekPgB40NllKkYUdzRs2FC9e/fWunXrfh6L3a5169YpLi6u0mt+/PHHCuERHBwsSXI4HG5+cwAAAos3Mt2bec4dRQDwILuCZDfgN7natJGamqrk5GT16dNHffv21Zw5c1RSUqJx48ZJksaOHasLLrhA6enpkqSkpCTNnj1bvXr1ci5VmTZtmpKSkpwBAwCAWXkr072V50wUASBAjRo1St99952mT5+ugoICxcbGatWqVc4N8fv373f5xfH++++XxWLR/fffr4MHD+r8889XUlKSHn74YW99BQAATM9beW5xBNh6okceeURpaWm64447NGfOHLeutVgq3gZesmSJrrvuuhpdX1RUJJvNpsLCwhrtIQoEvB4DgcAT/+6ebfPWTVfL2qRBndsrLT6teYPeMtXfF3gemVm/eD0G4HlkunEC6o7ip59+queee049evSodRuLFi3S8OHDncdNmzY1YGQAAPgWMhMAUJ2AeZhNcXGxxowZoxdeeEHNmjWrdTtNmzZVRESEs4SGhho4SgBm462H2QDVITMBwH1my/SAmShOnDhRI0eO1ODBg+vcTsuWLdW3b18tXLiw2icDlZaWqqioyKUAwC85HEGyG1AcjoD5cw0fQGYCgPvMlukBsfR06dKl2rFjhz799NM6tfPggw/q97//vRo1aqT3339ft912m4qLizV58uRK66enp+uBBx6oU58AANQnMhMAUBN+P1HMz8/XHXfcoTVr1tR5ycu0adOc/7lXr14qKSnR448/XmXopaWlKTU11XlcVFSk6OjoOo0BQGApl0XlqvsSEyPaAMhMAKg9s2W6f9z3rMb27dt15MgR/eY3v1FISIhCQkK0YcMGPfXUUwoJCVF5eXmt2+7Xr58OHDig0tLSSj+3Wq0KDw93KQDwS3aHUXsavP1NEAjITACoPbNlut/fUbz88sv15ZdfupwbN26cOnfurHvuuadOL4nOyspSs2bNZLVa6zpMAAC8jswEANSU308UzzvvPF1yySUu5xo3bqwWLVpUOF+d//znPzp8+LB++9vfKjQ0VGvWrNGsWbN01113GT1kACZyduO6Ee0AdUVmAkDtmS3T/X6iWFMpKSnKzc1VZmZmpZ83aNBAc+fO1ZQpU+RwOHTRRRdp9uzZmjBhQv0OFEBAscsiuwF7EYxoA6gpMhMAKjJbpgfkRLGyYMvJyVFCQkKV1wwfPtzlpcEAAJgBmQkAqExAThR/rbCwUPv27dPKlSu9PRQAJlPusKjcgBfrGtEGUBNkJgBUzmyZboqJos1m04EDB7w9DAAmZLb9DPB/ZCYAVM5smW6KiSI8Z/W3Wd4eAgAAfiEoYq+h7dkLLja0PaPHB8C/MVEEAA+y68w7k4xoBwAAeI/ZMt0/7nsCAAAAAOoNdxQBwIMcBj1K2+Envz4CABCozJbpTBQBwIPsDoOWqfjJE9IAAAhUZst0lp4CAAAAAFxwRxEAPMhsj9IGACBQmS3T/WOUbnjkkUdksVh055131ur6jIwM9ejRQ6GhoWrVqpUmTpxo7AABmMrZZSpGFKCuZs6cKYvF4lI6d+5cq7bISwBmY7ZMD6g7ip9++qmee+459ejRo1bXz549W08++aQef/xx9evXTyUlJcrNzTV2kAAAeFG3bt20du1a53FIiPv/V4C8BIDAFzATxeLiYo0ZM0YvvPCC/vGPf7h9/Q8//KD7779f//nPf3T55Zc7z9d20gkA0v+/c8mAp5v5yzuX4PtCQkIUERFR6+vJSwBmZbZMD5ilpxMnTtTIkSM1ePDgWl2/Zs0a2e12HTx4UF26dFGbNm107bXXKj8/v8prSktLVVRU5FIA4JfMtkwFvm/v3r2KiopShw4dNGbMGO3fv9+t62uTlxKZCcD/mS3TA2KiuHTpUu3YsUPp6em1buObb76R3W7XrFmzNGfOHL3xxhs6duyYhgwZorKyskqvSU9Pl81mc5bo6Oha9w8AgKf169dPGRkZWrVqlebNm6ecnBwNGjRIJ06cqHEbtclLicwEAH/j9xPF/Px83XHHHXr11VcVGhpa63bsdrtOnz6tp556SsOGDdNvf/tbLVmyRHv37tUHH3xQ6TVpaWkqLCx0lnP9mgrAfMz26yN8W2Jioq655hr16NFDw4YN03vvvafjx4/rtddeq3EbtclLicwE4P/Mlul+v0dx+/btOnLkiH7zm984z5WXl2vjxo165plnVFpaquDg4HO2ExkZKUnq2rWr89z555+vli1bVrksx2q1ymq11vEbAADgHU2bNlXHjh2VnZ1d42tqk5cSmQkA/sbv7yhefvnl+vLLL5WVleUsffr00ZgxY5SVlVWjSaIkDRgwQJK0e/du57ljx47p6NGjateunUfGDiDwme3XR/iX4uJi7du3zzn5qwnyEoBZmS3T/f6O4nnnnadLLrnE5Vzjxo3VokWLCuer07FjR1155ZW644479Pzzzys8PFxpaWnq3LmzEhISjB42AJMwKhD8JVTg2+666y4lJSWpXbt2+vbbbzVjxgwFBwdr9OjRNW6DvARgVmbLdL+/o1hTKSkpio+Pr7bOyy+/rH79+mnkyJG67LLL1KBBA61atUoNGjSon0ECAOBBBw4c0OjRo9WpUydde+21atGihT766COdf/75zjrkJQBACoA7ipXJzMyscC4nJ+ecv3SGh4drwYIFWrBggYdGBsBsHDLmfUmOug8F0NKlS89Zh7wEgMqZLdMDcqL4a4WFhdq3b59Wrlzp7aEAMBmzLVOBfyMvAaBqZst0U0wUbTabDhw44O1hAADg08hLAMBZppgownOCIvYa2t6QoGsMbW+N/XVD2wPcZbZfHwHUH6Mz2F5wsaHtGT0+wNvMlulMFAHAg8wWKgAABCqzZbppnnoKAAAAAKgZ7igCgAeZ7ddHAAACldkynYkiAHiQw2GRw4BAMKINAABQe2bLdJaeAgAAAABccEcRADzILoshL+c1og0AAFB7Zsv0gLijOHPmTFksFpfSuXNnt9rIyMio0MbZcuTIEQ+NHACA+nXw4EH95S9/UYsWLRQWFqbu3btr27ZtNb4+MzOzyrz89NNPPThyAEB9Cpg7it26ddPatWudxyEh7n21UaNGafjw4S7nUlJSdOrUKbVq1cqQMQIwH7NtfIdv++GHHzRgwAAlJCTov//9r84//3zt3btXzZo1q3Eb/fv316FDh1zOTZs2TevWrVOfPn2MHjIA+AyzZXrATBRDQkIUERFR6+vDwsIUFhbmPP7uu++0fv16LViwwIjhATAps218h2979NFHFR0drUWLFjnPtW/f3q02GjZs6JK3p0+f1jvvvKPbb79dFgv/OwUQuMyW6QGx9FSS9u7dq6ioKHXo0EFjxozR/v3769Teyy+/rEaNGunPf/5zlXVKS0tVVFTkUgAA8FXvvvuu+vTpo2uuuUatWrVSr1699MILL9S5ze+//17jxo2rth6ZCQD+JSAmiv369VNGRoZWrVqlefPmKScnR4MGDdKJEydq3eaCBQt0/fXXu9xl/LX09HTZbDZniY6OrnV/AALT2WUqRhSgrr755hvNmzdPF198sVavXq1bb71VkydP1ksvvVTrNhcsWKBhw4apTZs21dYjMwH4O7NlekAsPU1MTHT+5x49eqhfv35q166dXnvtNd14441ut7d161Z9/fXX+ve//11tvbS0NKWmpjqPi4qKCD4ALsy2TAW+zW63q0+fPpo1a5YkqVevXvrqq680f/58JScnu93egQMHtHr1ar322mvnrEtmAvB3Zsv0gJgo/lrTpk3VsWNHZWdn1+r6F198UbGxserdu3e19axWq6xWa636AACgvkVGRqpr164u57p06aI333yzVu0tWrRILVq00BVXXHHOumQmAPiXgFh6+mvFxcXat2+fIiMja3Vtbe9EAsCvOQxaouIvvz7Ctw0YMEC7d+92Obdnzx61a9fO7bYcDocWLVqksWPHqkGDBkYNEQB8ltkyPSAminfddZc2bNig3NxcbdmyRX/84x8VHBys0aNHu93WsmXL9NNPP+kvf/mLB0YKwGwckhwOA4q3vwgCwpQpU/TRRx9p1qxZys7O1uLFi/X8889r4sSJbre1fv165eTk6KabbvLASAHA95gt0wNionjgwAGNHj1anTp10rXXXqsWLVroo48+0vnnn++sk5KSovj4+HO2tWDBAl199dVq2rSp5wYMAIAXXHrppXr77be1ZMkSXXLJJXrooYc0Z84cjRkzxlln5syZiomJOWdbCxYsUP/+/dW5c2cPjhgA4C0BsUdx6dKl56yTk5OjhISEc9bbsmWLEUMCAEmSXRZZZMDLeQ1oA5CkP/zhD/rDH/5Q5ec5OTk1+mF18eLFBo4KAHyf2TI9ICaK51JYWKh9+/Zp5cqV3h4KAJMx2xPS4N8cDocyMzO1efNmbw8FAHyO2TLdFBNFm82mAwcOeHsYAAD4NIvFory8PG8PAwDgA0wxUYT/WP1tlreHABjK7rDIYsAvh/7ycl4A/mtYVKyh7a2xG9oc4HVmy/SAeJgNAAAAAMA43FEEAA86+yhsI9oBAADeY7ZMZ6IIAB5kto3vAAAEKrNlOktPAQAAAAAuuKMIAB5ktl8fAQAIVGbLdCaKAOBBZntCGgAAgcpsmR4QS08PHjyov/zlL2rRooXCwsLUvXt3bdu2za029uzZoyuvvFItW7ZUeHi4Bg4cqA8++MBDIwYAwDvITABATfj9RPGHH37QgAED1KBBA/33v//Vrl279OSTT6pZs2ZutfOHP/xBP/30k9avX6/t27erZ8+e+sMf/qCCggIPjRyAGZx9QpoRBagrMhMAas9sme73S08fffRRRUdHa9GiRc5z7du3d6uNo0ePau/evVqwYIF69OghSXrkkUf07LPP6quvvlJERIShYwZgHmcCwYj9DAYMBqZHZgJA7Zkt0/3+juK7776rPn366JprrlGrVq3Uq1cvvfDCC2610aJFC3Xq1Ekvv/yySkpK9NNPP+m5555Tq1at1Lt37yqvKy0tVVFRkUsBAMBXkZkAgJry+4niN998o3nz5uniiy/W6tWrdeutt2ry5Ml66aWXatyGxWLR2rVr9dlnn+m8885TaGioZs+erVWrVlW7HCc9PV02m81ZoqOjjfhKAALI2SekGVGAuiIzAaD2zJbpfj9RtNvt+s1vfqNZs2apV69euvnmmzVhwgTNnz+/xm04HA5NnDhRrVq10qZNm/TJJ5/oqquuUlJSkg4dOlTldWlpaSosLHSW/Px8I74SAAAeQWYCAGrK7yeKkZGR6tq1q8u5Ll26aP/+/TVuY/369VqxYoWWLl2qAQMG6De/+Y2effZZhYWFVfsrq9VqVXh4uEsBgF9yGFiAuiIzAaD2zJbpfv8wmwEDBmj37t0u5/bs2aN27drVuI0ff/xRkhQU5DpvDgoKkt1ur/sgAZiW2V7OC99GZgJA7Zkt0/3+juKUKVP00UcfadasWcrOztbixYv1/PPPa+LEiTVuIy4uTs2aNVNycrI+//xz7dmzR1OnTlVOTo5GjhzpwdEDAFB/yEwAQE35/UTx0ksv1dtvv60lS5bokksu0UMPPaQ5c+ZozJgxzjozZ85UTExMlW20bNlSq1atUnFxsX7/+9+rT58+2rx5s9555x317NmzHr4FgIBltnUq8GlkJgDUgcky3e8nitKZF/9++eWXOnXqlL7++mtNmDDB5fOcnBzFx8dX20afPn20evVqff/99yoqKtLWrVuVmJjowVEDMAWjno5Wy2Uqc+fOVUxMjEJDQ9WvXz998skn1dY/fvy4Jk6cqMjISFmtVnXs2FHvvfderfqGbyIzAaCWvJjp3shzv9+jeC4Oh0OZmZnavHmzt4cCAPVq2bJlSk1N1fz589WvXz/NmTNHw4YN0+7du9WqVasK9cvKyjRkyBC1atVKb7zxhi644ALl5eWpadOm9T94eAWZCQC+x1t5HvATRYvFory8PG8PA4BJORxnihHtuGv27NmaMGGCxo0bJ0maP3++Vq5cqYULF+ree++tUH/hwoU6duyYtmzZogYNGkhStUsQEXjITAComrcy3Vt5HvATRfiXoIi9hrZnL7jY0PaMHh8Cn9FPSCsqKnI5b7VaZbVaK9QvKyvT9u3blZaW5jwXFBSkwYMHa+vWrZX28e677youLk4TJ07UO++8o/PPP1/XX3+97rnnHgUHB9f5OwDwbWvsrxva3pCgawxtz+jxAe7yRqZ7M88DYo8iAJhFdHS0bDabs6Snp1da7+jRoyovL1fr1q1dzrdu3VoFBQWVXvPNN9/ojTfeUHl5ud577z1NmzZNTz75pP7xj38Y/j0AADC7mmS6N/OcO4oA4El1eBBNhXYk5efnu7yovLK7ibVlt9vVqlUrPf/88woODlbv3r118OBBPf7445oxY4Zh/QAA4Jf8JNONynMmigDgQUbvZwgPD3cJlaq0bNlSwcHBOnz4sMv5w4cPKyIiotJrIiMj1aBBA5dlKV26dFFBQYHKysrUsGHD2n8BAAD8nDcy3Zt5ztJTAAhADRs2VO/evbVu3TrnObvdrnXr1ikuLq7SawYMGKDs7GzZ7XbnuT179igyMpJJIgAAXuDNPGeiCACe5MWX86ampuqFF17QSy+9pK+//lq33nqrSkpKnE9NGzt2rMvm+FtvvVXHjh3THXfcoT179mjlypWaNWuWJk6cWLvvDgBAIPFSpnsrz1l6CgABatSoUfruu+80ffp0FRQUKDY2VqtWrXJuiN+/f7+Cgn7+vTA6OlqrV6/WlClT1KNHD11wwQW64447dM8993jrKwAAYHreyvOAmCjGxMRU+t6n2267TXPnzq1xO+vWrdO0adP05ZdfqnHjxkpOTtbDDz+skJCA+McEwAuMfpS2uyZNmqRJkyZV+llmZmaFc3Fxcfroo49q1Rd8H3kJALXnzUz3Rp4HxNLTTz/9VIcOHXKWNWvWSJKuuabm7+/5/PPPNWLECA0fPlyfffaZli1bpnfffbfSl1gCgFu8sOwUqAx5CQB1ZKJMD4iJ4vnnn6+IiAhnWbFihS688EJddtllNW5j2bJl6tGjh6ZPn66LLrpIl112mR577DHNnTtXJ06c8ODoAQCoH+QlAKCmAmKi+EtlZWV65ZVXNH78eFksNb+tW1paqtDQUJdzYWFhOnXqlLZv317lNUVFRS4FAH7p7DIVIwpgpPrMy7PXkZkA/JnZMj3gJorLly/X8ePHlZKS4tZ1w4YN05YtW7RkyRKVl5fr4MGDevDBByVJhw4dqvSa9PR02Ww2Z4mOjq7r8AEEGi8+9RSoTn3mpURmAggAJsv0gJsoLliwQImJiYqKinLruqFDh+rxxx/XLbfcIqvVqo4dO2rEiBGS5PIUoV9KS0tTYWGhs+Tn59d5/AAA1If6zEuJzAQAfxNQE8W8vDytXbtWN910U62uT01N1fHjx7V//34dPXpUV155pSSpQ4cOlda3Wq0KDw93KQDgymJgAYxR33kpkZkAAoG5Mj2gnmO9aNEitWrVSiNHjqx1GxaLxfnr6pIlSxQdHa3f/OY3Rg0RgNkYtcTET5apwD+QlwBQCybL9ICZKNrtdi1atEjJycm1fo/T448/ruHDhysoKEhvvfWWHnnkEb322msKDg42eLQAAHgHeQkAqImAWXq6du1a7d+/X+PHj6/085SUFMXHx1fbxn//+18NGjRIffr00cqVK/XOO+/oqquuMn6wAMzDZBvf4fvISwCoJZNlesDcURw6dKgcjqr/qefk5CghIaHaNtavX2/0sACYncNyphjRDmAA8hIAaslkmR4wE8XqFBYWat++fVq5cqW3hwIAMBG73a4NGzZo06ZNysvL048//qjzzz9fvXr10uDBg33uFRHkJQDgrIBZelodm82mAwcOqEmTJt4eCgCTcTiMK/AfJ0+e1D/+8Q9FR0drxIgR+u9//6vjx48rODhY2dnZmjFjhtq3b68RI0boo48+8vZwnchLAKia2TLdFHcUYV7DomINbW+N3dDmAASojh07Ki4uTi+88IKGDBmiBg0aVKiTl5enxYsX67rrrtN9992nCRMmeGGkgOes/jbL20MAUAdMFAHAk0z2KG2c8f7776tLly7V1mnXrp3S0tJ01113af/+/fU0MgBArZks05koAoAnmWzjO8441yTxlxo0aKALL7zQg6MBABjCZJleq4ni119/raVLl1a6OX/YsGH605/+JKvVavRYAQDwS8ePH9cnn3yiI0eOyG53XcM+duxYL40KAICquTVR3LFjh+6++25t3rxZAwYMUL9+/fTHP/5RYWFhOnbsmL766ivdd999uv3223X33XfrzjvvZMIIwNQsjjPFiHbgn/7zn/9ozJgxKi4uVnh4uCyWn39JtlgsTBQBwE+YLdPdmij+6U9/0tSpU/XGG2+oadOmVdbbunWr/vWvf+nJJ5/U3//+97qOEQD8l8n2M6Civ/3tbxo/frxmzZqlRo0aeXs4AIDaMlmmuzVR3LNnT6VPbvu1uLg4xcXF6fTp07UeGAAAgeDgwYOaPHkyk0QAgF9x6z2KNZkk1qV+ZcrLyzVt2jS1b99eYWFhuvDCC/XQQw/J4eYLSB5++GH1799fjRo1qvJu6P79+zVy5Eg1atRIrVq10tSpU/XTTz/V+TsAMLGzG9+NKPBLw4YN07Zt2+qlLzITADzIZJlep6eerlu3TuvWrat0c/7ChQvrNLCzHn30Uc2bN08vvfSSunXrpm3btmncuHGy2WyaPHlyjdspKyvTNddco7i4OC1YsKDC5+Xl5Ro5cqQiIiK0ZcsWHTp0SGPHjlWDBg00a9YsQ74LABMy2TIVVDRy5EhNnTpVu3btUvfu3Sv8iHrFFVcY1heZCQAeZLJMr/VE8YEHHtCDDz6oPn36KDIy0mVzvpG2bNmiK6+8UiNHjpQkxcTEaMmSJfrkk0/caueBBx6QJGVkZFT6+fvvv69du3Zp7dq1at26tWJjY/XQQw/pnnvu0cyZM9WwYcM6fQ8AgDlNmDBBkvTggw9W+Mxisai8vNywvshMAIBR3Fp6+kvz589XRkaGPv74Yy1fvlxvv/22SzFK//79tW7dOu3Zs0eS9Pnnn2vz5s1KTEw0rA/pzAN4unfvrtatWzvPDRs2TEVFRdq5c2el15SWlqqoqMilAIALh4EFfslut1dZjJwkSmQmAHiUyTK91ncUy8rK1L9/fyPHUql7771XRUVF6ty5s4KDg1VeXq6HH35YY8aMMbSfgoICl8CT5DwuKCio9Jr09HTnr64AUCmTLVOBd5GZAOBBJsv0Wt9RvOmmm7R48WIjx1Kp1157Ta+++qoWL16sHTt26KWXXtITTzyhl156yeN9n0taWpoKCwudJT8/39tDAgD4kJMnT2rz5s3atWtXhc9OnTqll19+2dD+yEwAgFFqfUfx1KlTev7557V27Vr16NGjwub82bNn13lwkjR16lTde++9uu666yRJ3bt3V15entLT05WcnGxIH5IUERFRYQ/H4cOHnZ9Vxmq1ymq1GjYGAAHIqKeb+ckT0vCzPXv2aOjQodq/f78sFosGDhyopUuXKjIyUpJUWFiocePGaezYsYb1SWYCgAeZLNNrfUfxiy++UGxsrIKCgvTVV1/ps88+c5asrCzDBvjjjz8qKMh1mMHBwRWeslpXcXFx+vLLL3XkyBHnuTVr1ig8PFxdu3Y1tC8AQOC75557dMkll+jIkSPavXu3zjvvPA0YMED79+/3WJ9kJgDAKLW+o/jBBx/UqN6BAwcUFRVVIbhqKikpSQ8//LDatm2rbt266bPPPtPs2bM1fvx4t9rZv3+/jh07pv3796u8vNw5mb3ooovUpEkTDR06VF27dtUNN9ygxx57TAUFBbr//vs1ceJEfgEFUGsWx5liRDvwL1u2bNHatWvVsmVLtWzZUv/5z3902223adCgQfrggw/UuHFjw/skMwHAc8yW6bW+o1hTXbt2VW5ubq2vf/rpp/XnP/9Zt912m7p06aK77rpLf/3rX/XQQw8568ycOVMxMTHVtjN9+nT16tVLM2bMUHFxsXr16qVevXo5X4IcHBysFStWKDg4WHFxcfrLX/6isWPHVvo4cwCoMZM9IQ0/O3nypEJCfv491mKxaN68eUpKStJll13mfDKpkchMAPAgk2V6re8o1pTDUbd/Euedd57mzJmjOXPmVFknJydH8fHx1baTkZFR5fugzmrXrp3ee+899wcJAMCvdO7cWdu2bVOXLl1czj/zzDOSpCuuuMLwPslMAIBRPD5R9DSHw6HMzExt3rzZ20MBAMDpj3/8o5YsWaIbbrihwmfPPPOM7Ha75s+fX69jIjMBADXl8aWnnmaxWJSXl6fo6GhvDwUAKrDo5z0NdSre/iJwW1paWrV33J599lmXh8wcOHDA8IfO/BqZCQC1Z7ZM9/s7ikB11thfN7S9IUHXGNqe0eMD4L+6du2qrKwsdejQwdtDAQwRFLHX0PbIYKB+eXyiaLH4y5wZADzAZO9cQu3VdU8/AMDDTJbpPv8wGwDwa0Y93Yw/pQAAeJfJMt3jE8Vdu3YpKirK090AAAAAAAzi9kTx0KFDeuaZZ/Twww9LkgYOHKgff/zR+XlwcLCWL1+uCy64QJLYMA/A3Ez26yMAAAHLZJnu9lNPn332Wf3www/O488//1yDBg3SlVdeqSuvvFLBwcH65z//aeggAQAIdOzpBwD4ErfvKK5YsUJPPfWUy7k77rjD+ZS23/72t0pNTdUTTzxhzAgBwI+dfRS2Ee0gsLGnHwB8m9ky3e07irm5uWrfvr3zeMiQIWrcuLHzuFOnTsrJyTFmdJJOnDihO++8U+3atVNYWJj69++vTz/91O12Hn74YfXv31+NGjVS06ZNK60zefJk9e7dW1arVbGxsXUbOABIPy9TMaIgoO3atUvt2rWr9fXkJQB4mMky3e2J4unTp/Xdd985j9966y21bt3aefzDDz8oKMjtZqt00003ac2aNfr3v/+tL7/8UkOHDtXgwYN18OBBt9opKyvTNddco1tvvbXaeuPHj9eoUaPqMmQAAHTo0CHdd999zuOBAwfqN7/5jbNceumlLlkWHR2t4ODgWvdHXgIAjOT2jK5Tp07asmVLlZ9v2rRJHTt2rNOgzjp58qTefPNNPfbYY/rd736niy66SDNnztRFF12kefPmudXWAw88oClTpqh79+5V1nnqqac0ceJEXnYMwDgm+/URP6vPPf3kJQDUA5Nlutt7FK+77jpNnz5dgwYNUo8ePVw++/zzz/Xggw/qnnvuMWRwP/30k8rLyxUaGupyPiwsTJs3bzakj7ooLS1VaWmp87ioqMiLowHgi8y2nwE/q889/b6elxKZCcD/mS3T3b6jeOedd+qSSy5R7969NWLECE2ZMkVTpkzRiBEj1KdPH3Xt2lV33nmnIYM777zzFBcXp4ceekjffvutysvL9corr2jr1q06dOiQIX3URXp6umw2m7PwKhAAwFn1uaff1/NSIjMBwN+4PVFs0KCB1qxZ4wyj5557Ts8995wOHjyohx56SGvWrFGDBg0MG+C///1vORwOXXDBBbJarXrqqac0evRoQ/dB1lZaWpoKCwudJT8/39tDAuBrHBbjCvxKfe/p9+W8lMhMAAHAZJnu9tJTSWrYsKHuvfde3XvvvUaPp4ILL7xQGzZsUElJiYqKihQZGalRo0b5xL4Iq9Uqq9Xq7WEA8GUmezkvfnZ2T3+vXr0q/dzIPf2Sb+elRGYCCAAmy3S3fmb05jueGjdurMjISP3www9avXq1rrzySq+NBQCAczm7p/+LL76o8NnZPf2jR482vF/yEgBgBLfuKHbr1k3Tp0/X1VdfrYYNG1ZZb+/evZo9e7batWtX57uOq1evlsPhUKdOnZSdna2pU6eqc+fOGjdunFvt7N+/X8eOHdP+/ftVXl6urKwsSdJFF12kJk2aSJKys7NVXFysgoICnTx50lmna9eu1X5fAKiK2Ta+42d33nmnVqxYod69e2vIkCHq1KmTJGn37t1as2aN4uLiDNvTL5GXAOBpZst0tyaKTz/9tO655x7ddtttGjJkiPr06aOoqCiFhobqhx9+0K5du7R582bt3LlTkyZNOuc7mGqisLBQaWlpOnDggJo3b64//elPevjhh132Qc6cOVMZGRnKzc2tsp3p06frpZdech6fXQr0wQcfKD4+XtKZd1Bt2LChQp2cnBzFxMTU+bsAMCGTLVPBz87u6Z89e7aWLl2qzMxMSdLFF1+shx56SFOmTDF0Tz95CQAeZrJMtzhqsZ508+bNWrZsmTZt2qS8vDydPHlSLVu2VK9evTRs2DCNGTNGzZo188R4K5WcnCyLxaKMjIx667MyRUVFstlsKiwsVHh4uFfHAs8YEnSNoe2tsb9uaHuoHU/8u3u2zQ7TZynoV68sqA37qVP65sG/8/cFdeIreSmRmXAfGYyaINONU6uH2QwcOFADBw40eiy14nA4lJmZ6TPviQIAFwYtU/GXXx9xhsPhkMXiW0+1Iy8BoI5MluluPzN7xIgRKiwsdB4/8sgjOn78uPP4+++/V9euXQ0ZXE1YLBbl5eXxPiYAgM/o1q2bli5dqrKysmrr7d27V7feeqseeeQRj4+JvAQAuMPtO4qrV69WaWmp83jWrFm69tpr1bRpU0nSTz/9pN27dxs2QMCXrP42y9tDgL8x2X4GnOGNPf1AoCOD4XUmy3S3J4q/3tLozVdmAIDPM1mo4IzLL79c27Ztc+7pf/XVVyvs6R87dmy97+kHANSByTK9VnsUAQDAufnSnn4AANzh9h5Fi8VSYYO+r23YBwBfcfadS0YU+Bdf29MPAKgbs2V6rZaepqSkyGq1SpJOnTqlW265RY0bN5Ykl/2LAACYFXv6AQD+zO2JYnJyssvxX/7ylwp1xo4dW/sRAQAQANjTDwDwZ25PFBctWuSJcQBAYDLZxncAAAKWyTLd7T2KRtq4caOSkpIUFRUli8Wi5cuXV6jjcDg0ffp0RUZGKiwsTIMHD9bevXvd6ufUqVNKSUlR9+7dFRISoquuuqpCnbfeektDhgzR+eefr/DwcMXFxWn16tW1/GYAcIbZ9jPgZ0bv6SczAcC7zJbpXp0olpSUqGfPnpo7d26VdR577DE99dRTmj9/vj7++GM1btxYw4YN06lTp2rcT3l5ucLCwjR58mQNHjy40jobN27UkCFD9N5772n79u1KSEhQUlKSPvvsM7e/FwAAZ/f0X3311br66qude/rPHo8fP96t9shMAEB98urrMRITE5WYmFjl5w6HQ3PmzNH999+vK6+8UpL08ssvq3Xr1lq+fLmuu+66GvXTuHFjzZs3T5L04Ycfujx17qw5c+a4HM+aNUvvvPOO/vOf/6hXr141+0IAUBk/+eUQxjJ6Tz+ZCQA+wESZ7tPvUczJyVFBQYHLL5o2m039+vXT1q1baxx6tWG323XixAk1b968yjqlpaUuT7QrKiry2HgA+CmT7WfAz+p7Tz+ZCQAeZrJM9+rS03MpKCiQJLVu3drlfOvWrZ2fecoTTzyh4uJiXXvttVXWSU9Pl81mc5bo6GiPjgkAgKqQmQAAI/n0RNFbFi9erAceeECvvfaaWrVqVWW9tLQ0FRYWOkt+fn49jhKAPzDbxneYD5kJwCzMluk+vfQ0IiJCknT48GFFRkY6zx8+fFixsbEe6XPp0qW66aab9Prrr1e5if8sq9Uqq9XqkXEAAOAOMhMAYCSfvqPYvn17RUREaN26dc5zRUVF+vjjjxUXF2d4f0uWLNG4ceO0ZMkSjRw50vD2AZiQw8ACVIPMBAAPM1mme/WOYnFxsbKzs53HOTk5ysrKUvPmzdW2bVtZLBbdeeed+sc//qGLL75Y7du317Rp0xQVFVXpe52qs2vXLpWVlenYsWM6ceKEsrKyJMn5K+vixYuVnJysf/3rX+rXr59zP0dYWJhsNpsRXxeACRm1xMRflqnAc8hMAPAus2W6VyeK27ZtU0JCgvM4NTVV0plHimdkZEiS7r77bpWUlOjmm2/W8ePHNXDgQK1atUqhoaHO6+Lj4xUTE+O8pjIjRoxQXl6e8/js47sdjjP/TT3//PP66aefNHHiRE2cONFZ75djAQDAW8hMAEB98urS0/j4eDkcjgrllyFjsVj04IMPqqCgQKdOndLatWvVsWNHl3ZycnIUHx9fbV+5ubmV9nVWZmbmOccCAG7z8jKVuXPnKiYmRqGhoerXr58++eSTGl23dOlSWSwWt+9EwXPITADwMi9mujfy3Kf3KNbEzp07ZbPZ3HppMQDUGy+GyrJly5SamqoZM2Zox44d6tmzp4YNG6YjR45Ue11ubq7uuusuDRo0yP1O4dPITACoAy9lurfy3O8nit26ddMXX3yhoCC//yoAYKjZs2drwoQJGjdunLp27ar58+erUaNGWrhwYZXXlJeXa8yYMXrggQfUoUOHehwt6gOZCQD+x1t57tOvxwB8TVDEXkPbGxJ0jaHtrbG/bmh7qDujN74XFRW5nK/qlQNlZWXavn270tLSnOeCgoI0ePBgbd26tcp+HnzwQbVq1Uo33nijNm3aVPeBA4BByGB4mzcy3Zt5zk+KAOBJBi9TiY6Ols1mc5b09PRKuz169KjKy8vVunVrl/OtW7d2PqHy1zZv3qwFCxbohRdeqMMXBgAgQHkh072Z59xRBAA/kp+fr/DwcOexUS8wP3HihG644Qa98MILatmypSFtAgCAqnki043McyaKAOBJdXhiaYV2JIWHh7uESlVatmyp4OBgHT582OX84cOHFRERUaH+vn37lJubq6SkJOc5u90uSQoJCdHu3bt14YUX1uELAADg57yQ6d7Mc5aeAkAAatiwoXr37q1169Y5z9ntdq1bt05xcXEV6nfu3FlffvmlsrKynOWKK65QQkKCsrKyFB0dXZ/DBwAA8m6ec0cRADzI6I3v7khNTVVycrL69Omjvn37as6cOSopKdG4ceMkSWPHjtUFF1yg9PR0hYaG6pJLLnG5vmnTppJU4TwAAGbkrUz3Vp4zUQQATzJ4mYo7Ro0ape+++07Tp09XQUGBYmNjtWrVKueG+P379/OaBAAAaspLme6tPPfq/0PYuHGjkpKSFBUVJYvFouXLl1eo89Zbb2no0KFq0aKFLBaLsrKyatXX5MmT1bt3b1mtVsXGxlb4fPfu3UpISFDr1q0VGhqqDh066P7779fp06dr1R8A+IJJkyYpLy9PpaWl+vjjj9WvXz/nZ5mZmcrIyKjy2oyMjEr/LsM7yEwAMC9v5LlXJ4olJSXq2bOn5s6dW22dgQMH6tFHH61zf+PHj9eoUaMq/axBgwYaO3as3n//fe3evVtz5szRCy+8oBkzZtS5XwDmdXaZihEF5kZmAoB3mS3Tvbr0NDExUYmJidXWueGGGyRJubm5derrqaeekiR99913+uKLLyp83qFDB3Xo0MF53K5dO2VmZvLCaQB148WlpwgsZCYAeJnJMp09ilXIzs7WqlWrdPXVV1dZp7S0VKWlpc7joqKi+hgaAAA+hcwEgMDDUwx+pX///goNDdXFF1+sQYMG6cEHH6yybnp6umw2m7Pw+HgAFTgMLICPITMBmIrJMp2J4q8sW7ZMO3bs0OLFi7Vy5Uo98cQTVdZNS0tTYWGhs+Tn59fjSAH4A4uBBfA1ZCYAMzFbprP09FfO/sLZtWtXlZeX6+abb9bf/vY3BQcHV6hrtVpltVrre4gAAPgEMhMAAhcTxWrY7XadPn1adru90tADgHMy2cZ3mBeZCSDgmSzTvTpRLC4uVnZ2tvM4JydHWVlZat68udq2bStJOnbsmPbv369vv/1W0pl3N0lSRESEIiIiatxXdna2iouLVVBQoJMnTzrfLdW1a1c1bNhQr776qho0aKDu3bvLarVq27ZtSktL06hRo9SgQQODvjEAszHqMdj+8ihteA6ZCQDeZbZM9+pEcdu2bUpISHAep6amSpKSk5OdL4189913NW7cOGed6667TpI0Y8YMzZw5U5KUkpKi3NxcZWZmVtnXTTfdpA0bNjiPe/XqJelM0MbExCgkJESPPvqo9uzZI4fDoXbt2mnSpEmaMmWKEV8VAIA6ITMBAPXJqxPF+Ph4ORzVT6lTUlKUkpJSbZ2cnByX8KxMdYEoSaNGjaryxcIAUGsmW6YCzyEzAcDLTJbpfr9HsbCwUPv27dPKlSu9PRQAAHwamQkAqCm/nyjabDYdOHDA28MAgKr5yS+HCHxkJgDUkYky3e8nioA/W/1tlreHAA8z28Z3APAXZDDcZbZMD/L2AAAAAAAAvoU7igDgSSbb+A4AQMAyWaYzUQQADzLbMhUAAAKV2TKdpacAAAAAABfcUQQATzLZMhUAAAKWyTKdiSIAeJDZlqkAABCozJbpXl16unHjRiUlJSkqKkoWi0XLly93+fz06dO655571L17dzVu3FhRUVEaO3asvv32W7f6OXXqlFJSUtS9e3eFhIToqquuqrb+hx9+qJCQEMXGxrr3hQAA8BBfyszNmzdrwIABatGihcLCwtS5c2f985//rMO3AwD4Gq9OFEtKStSzZ0/NnTu30s9//PFH7dixQ9OmTdOOHTv01ltvaffu3briiivc6qe8vFxhYWGaPHmyBg8eXG3d48ePa+zYsbr88svd6gMAKuUwsMDUfCkzGzdurEmTJmnjxo36+uuvdf/99+v+++/X888/7/b3AgC/YbJM9+rS08TERCUmJlb5uc1m05o1a1zOPfPMM+rbt6/279+vtm3b1qifxo0ba968eZLO3C08fvx4lXVvueUWXX/99QoODq7way0AuM1k+xngOb6Umb169VKvXr2cxzExMXrrrbe0adMm3XzzzTXqBwD8jsky3e+eelpYWCiLxaKmTZsa3vaiRYv0zTffaMaMGTWqX1paqqKiIpcCAICv8GRm/tJnn32mLVu26LLLLquyDpkJAP7FryaKp06d0j333KPRo0crPDzc0Lb37t2re++9V6+88opCQmp2ozU9PV02m81ZoqOjDR0TAP93duO7EQVwhycz86w2bdrIarWqT58+mjhxom666aYq65KZAPyd2TLdbyaKp0+f1rXXXiuHw+FcEmOU8vJyXX/99XrggQfUsWPHGl+XlpamwsJCZ8nPzzd0XAAA1IYnM/OXNm3apG3btmn+/PmaM2eOlixZUmVdMhMA/ItfvB7jbODl5eVp/fr1hv8yeuLECW3btk2fffaZJk2aJEmy2+1yOBwKCQnR+++/r9///vcVrrNarbJarYaOBUCAMdl+BnifpzPzl9q3by9J6t69uw4fPqyZM2dq9OjRldYlMwH4PZNlus9PFM8G3t69e/XBBx+oRYsWhvcRHh6uL7/80uXcs88+q/Xr1+uNN95wBiEAuMvicMjiqHsiGNEGAl99ZGZV7Ha7SktL660/AKhvZst0r04Ui4uLlZ2d7TzOyclRVlaWmjdvrrZt2+r06dP685//rB07dmjFihUqLy9XQUGBJKl58+Zq2LBhjfvatWuXysrKdOzYMZ04cUJZWVmSpNjYWAUFBemSSy5xqd+qVSuFhoZWOA8AgDf4SmZK0ty5c9W2bVt17txZ0pl3PD7xxBOaPHmyMV8WAOB1Xp0obtu2TQkJCc7j1NRUSVJycrIyMjJ08OBBvfvuu5J+DqezPvjgA8XHx0uS4uPjFRMTo4yMjCr7GjFihPLy8pzHZx/r7fCTGT0AP2WyZSrwHF/KTLvdrrS0NOXk5CgkJEQXXnihHn30Uf31r3+t69cEAN9lskz36kQxPj6+2olaTExMjSZyOTk5SklJqbZObm6uW2ObOXOmZs6c6dY1APBrRj3dzF+ekAbP8aXMvP3223X77befsy8ACCRmy3S/eeppVXbu3CmbzaaxY8d6eygAAPg0MhMAUFM+/zCbc+nWrZu++OILbw8DACpnsmUq8G1kJgDUgcky3e8nioA/C4rYa2h7Q4KuMbS9NfbXDW3PjMy2TAUA/IXRGWwvuNjQ9oweH+rObJnu90tPAQAAAADG4o4iAHiSyZapAAAQsEyW6UwUAcCDzLZMBQCAQGW2TGfpKQAAAADABXcUAcCTTLZMBQCAgGWyTOeOIgAAAADAhVcnihs3blRSUpKioqJksVi0fPnyCnVmzpypzp07q3HjxmrWrJkGDx6sjz/+2K1+Tp06pZSUFHXv3l0hISG66qqrKtTJzMyUxWKpUAoKCmr57QDgjLN7GupSAF/KzF/68MMPFRISotjYWLf6AQB/ZKZM9+pEsaSkRD179tTcuXOrrNOxY0c988wz+vLLL7V582bFxMRo6NCh+u6772rcT3l5ucLCwjR58mQNHjy42rq7d+/WoUOHnKVVq1Y17gcAKnA4jCswNV/MzOPHj2vs2LG6/PLLa9w+APgtk2W6V/coJiYmKjExsdo6119/vcvx7NmztWDBAn3xxRc1DqbGjRtr3rx5ks788nn8+PEq67Zq1UpNmzatUbsAANQXX8zMW265Rddff72Cg4MrvcMJAPBffrVHsaysTM8//7xsNpt69uzpkT5iY2MVGRmpIUOG6MMPP6y2bmlpqYqKilwKAPySEUtU/G2pCnyDpzNz0aJF+uabbzRjxowa1SczAfg7s2W6X0wUV6xYoSZNmig0NFT//Oc/tWbNGrVs2dLQPiIjIzV//ny9+eabevPNNxUdHa34+Hjt2LGjymvS09Nls9mcJTo62tAxAQgADgMLUAP1kZl79+7Vvffeq1deeUUhITVbnERmAvB7Jst0v5goJiQkKCsrS1u2bNHw4cN17bXX6siRI4b20alTJ/31r39V79691b9/fy1cuFD9+/fXP//5zyqvSUtLU2FhobPk5+cbOiYAANzl6cwsLy/X9ddfrwceeEAdO3as8XVkJgD4F7+YKDZu3FgXXXSRfvvb32rBggUKCQnRggULPN5v3759lZ2dXeXnVqtV4eHhLgUAfsliN64ANeHpzDxx4oS2bdumSZMmKSQkRCEhIXrwwQf1+eefKyQkROvXr6/0OjITgL8zW6Z79WE2tWW321VaWurxfrKyshQZGenxfgAEMKOWmPjJMhX4HqMzMzw8XF9++aXLuWeffVbr16/XG2+8ofbt2xvWFwD4FJNlulcnisXFxS537HJycpSVlaXmzZurbdu2Kikp0cMPP6wrrrhCkZGROnr0qObOnauDBw/qmmuucauvXbt2qaysTMeOHdOJEyeUlZUlSc73Ps2ZM0ft27dXt27ddOrUKb344otav3693n//faO+LgAAteYrmRkUFKRLLrnEpX6rVq0UGhpa4TwAwH95daK4bds2JSQkOI9TU1MlScnJycrIyFBwcLD+97//6aWXXtLRo0fVokULXXrppdq0aZO6devmvC4+Pl4xMTHKyMiosq8RI0YoLy/PedyrVy9JkuP/32NSVlamv/3tbzp48KAaNWqkHj16aO3atS7jAwB3GfV0M395Qho8x5cyEwDMyGyZ7tWJYnx8fLWhExoaqrfeeuuc7eTk5CglJaXaOrm5udV+fvfdd+vuu+8+Z18AAHiDL2Xmr82cOVMzZ8506xoAgG/zyz2Kv7Rz507ZbDaNHTvW20MBgIocjjPFiHaAOiIzAaAOTJbpfj9R7Natm7744gtvDwMAKmW2ZSrwbWQmANSe2TLd7yeKAH62+tssbw8BAABTCorYa2h79oKLDW3P6PEh8DFRBABPMtmjtAEACFgmy3QmigDgQWZbpgIAQKAyW6YHeXsAAAAAAADfwh1FAPAkkz0hDQCAgGWyTGeiCAAeZLZlKgAABCqzZTpLTwEAAAAALrw6Udy4caOSkpIUFRUli8Wi5cuXV1v/lltukcVi0Zw5c9zq59SpU0pJSVH37t0VEhKiq666qkKdzMxMWSyWCqWgoMCtvgDAhcPAAlMjMwHAy0yW6V6dKJaUlKhnz56aO3fuOeu+/fbb+uijjxQVFeV2P+Xl5QoLC9PkyZM1ePDgauvu3r1bhw4dcpZWrVq53R8AnHV2mYoRBeZGZgKAd5kt0726RzExMVGJiYnnrHfw4EHdfvvtWr16tUaOHOl2P40bN9a8efMkSR9++KGOHz9eZd1WrVqpadOmbvcBAIAnkZkAgPrk83sU7Xa7brjhBk2dOlXdunXzeH+xsbGKjIzUkCFD9OGHH1Zbt7S0VEVFRS4FAFzYHcYV4BzITADwIJNlus9PFB999FGFhIRo8uTJHu0nMjJS8+fP15tvvqk333xT0dHRio+P144dO6q8Jj09XTabzVmio6M9OkYAAKpDZgIAjOLTr8fYvn27/vWvf2nHjh2yWCwe7atTp07q1KmT87h///7at2+f/vnPf+rf//53pdekpaUpNTXVeVxUVETwAXBl1KZ1//jxEV5EZgKAh5ks0336juKmTZt05MgRtW3bViEhIQoJCVFeXp7+9re/KSYmxuP99+3bV9nZ2VV+brVaFR4e7lIA4JcsMmjju7e/CHwemQkAnmW2TPfpO4o33HBDhSeuDRs2TDfccIPGjRvn8f6zsrIUGRnp8X4AAKgrMhMAYCSvThSLi4tdfn3MyclRVlaWmjdvrrZt26pFixZq0aKFyzUNGjRQRESEy5KXmti1a5fKysp07NgxnThxQllZWZLObMSXpDlz5qh9+/bq1q2bTp06pRdffFHr16/X+++/X6fvCMDkHI4zxYh2YGpkJgB4mcky3asTxW3btikhIcF5fHbvQnJysjIyMmrcTnx8vGJiYqq9ZsSIEcrLy3Me9+rVS5Lk+P//osrKyvS3v/1NBw8eVKNGjdSjRw+tXbvWZXwA4C6j3pfkL+9cgueQmQDgXWbLdK/uUYyPj5fD4ahQqguv3Nxc3XnnnS7ncnJyFB8fX21fubm5lfZ11t13363s7GydPHlS33//vT744AMCD4Dfmzt3rmJiYhQaGqp+/frpk08+qbLuCy+8oEGDBqlZs2Zq1qyZBg8eXG191C8yEwDMyxt57tMPs6mJnTt3ymazaezYsd4eCgBU5DCwuGnZsmVKTU3VjBkztGPHDvXs2VPDhg3TkSNHKq2fmZmp0aNH64MPPtDWrVsVHR2toUOH6uDBg+53Dp9EZgJAHXgp072V5xaHw08WyfqBoqIi2Ww2FRYW8jQ3eIW94GJD2wuK2Gtoe77KE//unm1zUPwMhYSE1rm9n346pU2ZD7g1xn79+unSSy/VM888I+nMy9ijo6N1++2369577z3n9eXl5WrWrJmeeeYZJhYwHJkJVI9Mr51AzHRv5blPP/UUgHuMDgFCyvcUFRW5HFutVlmt1gr1ysrKtH37dqWlpTnPBQUFafDgwdq6dWuN+vrxxx91+vRpNW/evG6DBgC4jUwPfDXJdG/mud8vPQUAn2Y3sEiKjo6WzWZzlvT09Eq7PXr0qMrLy9W6dWuX861bt1ZBQUGNhn7PPfcoKiqqwisXAAAwJS9kujfznDuKAOBBFodDFgNW+J9tIz8/32WZSmV3E43wyCOPaOnSpcrMzFRoaN2X2QAA4O/8MdPrkudMFAHAj4SHh9doP0PLli0VHBysw4cPu5w/fPiwIiIiqr32iSee0COPPKK1a9eqR48edRovAACoXE0y3Zt5ztJTAPAkLz0hrWHDhurdu7fWrVvnPGe327Vu3TrFxcVVed1jjz2mhx56SKtWrVKfPn3c6xQAgEDmhUz3Zp5zRxEAAlRqaqqSk5PVp08f9e3bV3PmzFFJSYnGjRsnSRo7dqwuuOAC556IRx99VNOnT9fixYsVExPj3PvQpEkTNWnSxGvfAwAAM/NWnjNRBABPcjjOFCPacdOoUaP03Xffafr06SooKFBsbKxWrVrl3BC/f/9+BQX9vLBk3rx5Kisr05///GeXdmbMmKGZM2fWafgAAPg9L2W6t/Lcq0tPN27cqKSkJEVFRclisWj58uUV6qSkpMhisbiU4cOHu9XPqVOnlJKSou7duyskJERXXXVVpfVKS0t13333qV27drJarYqJidHChQtr8c0A4AyLw7hSG5MmTVJeXp5KS0v18ccfq1+/fs7PMjMzlZGR4TzOzc2Vw+GoUJgk+gYyEwC8y5uZ7o089+odxZKSEvXs2VPjx4/X1VdfXWW94cOHa9GiRc5jd58IVF5errCwME2ePFlvvvlmlfWuvfZaHT58WAsWLNBFF12kQ4cOyW63u9UXAACeQGYCAOqTVyeKiYmJSkxMPGc9q9V6zqf6VKdx48aaN2+eJOnDDz/U8ePHK9RZtWqVNmzYoG+++cb5MsqYmJha9wkAkry69BSBhcwEAC8zWab7xVNPMzMz1apVK3Xq1Em33nqrvv/+e8P7ePfdd9WnTx899thjuuCCC9SxY0fdddddOnnyZJXXlJaWqqioyKUAwC9Z7MYVoCbITADwDLNlus8/zGb48OG6+uqr1b59e+3bt09///vflZiYqK1btyo4ONiwfr755htt3rxZoaGhevvtt3X06FHddttt+v77712W8PxSenq6HnjgAcPGAABAXZCZAACj+PxE8brrrnP+5+7du6tHjx668MILlZmZqcsvv9ywfux2uywWi1599VXZbDZJ0uzZs/XnP/9Zzz77rMLCwipck5aWptTUVOdxUVGRoqOjDRsTgABgsmUq8C4yEwA8yGSZ7hdLT3+pQ4cOatmypbKzsw1tNzIyUhdccIEz8CSpS5cucjgcOnDgQKXXWK1WhYeHuxQAcOGFl/MCZ5GZAGAgk2W6300UDxw4oO+//16RkZGGtjtgwAB9++23Ki4udp7bs2ePgoKC1KZNG0P7AgCgPpCZAIDa8upEsbi4WFlZWcrKypIk5eTkKCsrS/v373d+PnXqVH300UfKzc3VunXrdOWVV+qiiy7SsGHD3Opr165dysrK0rFjx1RYWOjSryRdf/31atGihcaNG6ddu3Zp48aNmjp1qsaPH1/pEhoAqAmLw2FYgbmRmQDgXWbLdK/uUdy2bZsSEhKcx2f3LiQnJysjI0PBwcH64osv9NJLL+n48eOKiorS0KFD9dBDD7m8Fyo+Pl4xMTEuL5r8tREjRigvL8953KtXL0mS4///i2rSpInWrFmj22+/XX369FGLFi107bXX6h//+IeRXxkAgFohMwEA9cmrE8X4+Hhn6FQmLCxMq1evPmc7OTk5SklJqbZObm7uOdvp3Lmz1qxZc856AFBjJtv4Ds8hMwHAy0yW6T7/1NNz2blzp2w2m8aOHevtoQBARQ5JRrwvyT8yBT6OzASAOjBZpvv9RLFbt2764osvvD0MAAB8HpkJAKgpv58oAvCcoIi9hrZnL7jY0PaMHp8nGLVp3V82vgMAfBOZXndmy3QmigDgSQ4ZtJ+h7k0AAIA6MFmm+917FAEAAAAAnsUdRQDwJJM9IQ0AgIBlskxnoggAnmSXZDGoHQAA4D0my3SWngIAAAAAXHBHEQA8yGxPSAMAIFCZLdO9ekdx48aNSkpKUlRUlCwWi5YvX15pva+//lpXXHGFbDabGjdurEsvvVT79+93q6/Jkyerd+/eslqtio2NrfD5zJkzZbFYKpTGjRvX4psBwP87u5/BiAJTIzMBwMtMlulenSiWlJSoZ8+emjt3bpV19u3bp4EDB6pz587KzMzUF198oWnTpik0NNTt/saPH69Ro0ZV+tldd92lQ4cOuZSuXbvqmmuucbsfAACMRmYCAOqTV5eeJiYmKjExsdo69913n0aMGKHHHnvMee7CCy90u6+nnnpKkvTdd9/piy++qPB5kyZN1KRJE+fx559/rl27dmn+/Plu9wUATiZ7Qho8h8wEAC8zWab79MNs7Ha7Vq5cqY4dO2rYsGFq1aqV+vXrV+VyGyO9+OKL6tixowYNGlRlndLSUhUVFbkUAAC8gcwEABjJpyeKR44cUXFxsR555BENHz5c77//vv74xz/q6quv1oYNGzzW76lTp/Tqq6/qxhtvrLZeenq6bDabs0RHR3tsTAD8lMn2M8B7yEwA8DCTZbpPP/XUbj/zkpErr7xSU6ZMkSTFxsZqy5Ytmj9/vi677DKP9Pv222/rxIkTSk5OrrZeWlqaUlNTncdFRUUEHwBXJnvnEryHzAQADzNZpvv0RLFly5YKCQlR165dXc536dJFmzdv9li/L774ov7whz+odevW1dazWq2yWq0eGwcAADVFZgIAjOTTE8WGDRvq0ksv1e7du13O79mzR+3atfNInzk5Ofrggw/07rvveqR9AOZitncuwXvITADwLLNlulcnisXFxcrOznYe5+TkKCsrS82bN1fbtm0lSVOnTtWoUaP0u9/9TgkJCVq1apX+85//KDMz062+srOzVVxcrIKCAp08eVJZWVmSpK5du6phw4bOegsXLlRkZOQ5nywHADVisiekwXPITADwMpNlulcnitu2bVNCQoLz+OzeheTkZGVkZEiS/vjHP2r+/PlKT0/X5MmT1alTJ7355psaOHCg87qUlBTl5uZWG4Q33XSTy2b+Xr16SToTtDExMZLO7O/IyMhQSkqKgoODDfqWAADUHZkJAKhPXp0oxsfHy1GDGfX48eM1fvz4Kj/PyclxCc/K1OTX1KCgIOXn55+zHgDUmN0hWQz45dDuH78+wnPITADwMpNluk/vUayJwsJC7du3TytXrvT2UACgIpMtU4FvIzMBoA5Mlul+P1G02Ww6cOCAt4cBAIDPIzMBADXl9xNFAP4jKGKvoe3ZCy42pp0TnnyhkVEv1vWPXx8BAOZAptexHT/ARBEAPMlky1QAAAhYJsv0IG8PAAAAAADgW7ijCACeZHfIkCUmfvKENAAAApbJMp07igAAAAAAF9xRBABPctjPFCPaAQAA3mOyTGeiCACeZLKN7wAABCyTZbpXl55u3LhRSUlJioqKksVi0fLlyyvUsVgslZbHH3+8xv2cOnVKKSkp6t69u0JCQnTVVVdVWu/VV19Vz5491ahRI0VGRmr8+PH6/vvva/ntAAAwDpkJAKhPXp0olpSUqGfPnpo7d26VdQ4dOuRSFi5cKIvFoj/96U817qe8vFxhYWGaPHmyBg8eXGmdDz/8UGPHjtWNN96onTt36vXXX9cnn3yiCRMmuP29AMDJ7jCuwNTITADwMpNluleXniYmJioxMbHaOhERES7H77zzjhISEtShQ4ca99O4cWPNmzdP0plwO378eIU6W7duVUxMjCZPnixJat++vf7617/q0UcfrXE/AFCByZapwHPITADwMpNlul899fTw4cNauXKlbrzxRsPbjouLU35+vt577z05HA4dPnxYb7zxhkaMGFHlNaWlpSoqKnIpAAD4AjITAFAXfjVRfOmll3Teeefp6quvNrztAQMG6NVXX9WoUaPUsGFDRUREyGazVbvEJz09XTabzVmio6MNHxcAP+fQz79A1ql4+4vA35CZAGAwk2W6X00UFy5cqDFjxig0NNTwtnft2qU77rhD06dP1/bt27Vq1Srl5ubqlltuqfKatLQ0FRYWOkt+fr7h4wLg5wwJFIOWusBUyEwAMJjJMt1vXo+xadMm7d69W8uWLfNI++np6RowYICmTp0qSerRo4caN26sQYMG6R//+IciIyMrXGO1WmW1Wj0yHgAAaovMBADUld9MFBcsWKDevXurZ8+eHmn/xx9/VEiI6z+O4OBgSZLDT2b9AHyQ3S7JgBfr2v3j5bzwDWQmAHiAyTLdqxPF4uJiZWdnO49zcnKUlZWl5s2bq23bts7zRUVFev311/Xkk0/Wuq9du3aprKxMx44d04kTJ5SVlSVJio2NlSQlJSVpwoQJmjdvnoYNG6ZDhw7pzjvvVN++fRUVFVXrfgGYnMmekAbPITMBwMtMlulenShu27ZNCQkJzuPU1FRJUnJysjIyMpznly5dKofDodGjR1faTnx8vGJiYlyu+bURI0YoLy/PedyrVy9JP//ymZKSohMnTuiZZ57R3/72NzVt2lS///3vedQ3AMAnkJkAgPpkcQTAGpF27drpgQceUEpKilfHUVRUJJvNpsLCQoWHh3t1LIAZ2AsuNqSdohN2Nev4jaH/7p79ezC45XiFBDWsc3s/2cu09uhC/r6gzshMAL6ITPc9fvXU08rs3LlTNptNY8eO9fZQAADwaWQmAKCm/OZhNlXp1q2bvvjiC28PAwAqZ3fIkBcm2f1+8Qd8AJkJAHVgskz3+4kiAPMKithrTDuNiiTZDGnr1xwOuxyOuj/dzIg2AADwVWS67/H7pacAAAAAAGNxRxEAPMnhMGaJif8/dwwAAP9mskxnoggAnuQwaD+Dn4QKAAABy2SZztJTAAAAAIAL7igCgCfZ7ZLFgE3rfrLxHQCAgGWyTGeiCACeZLJlKgAABCyTZbpXl55u3LhRSUlJioqKksVi0fLlyyvUKS4u1qRJk9SmTRuFhYWpa9eumj9/vtt9TZ48Wb1795bValVsbGyldV577TXFxsaqUaNGateunR5//HG3+wEAwBPITABAffLqHcWSkhL17NlT48eP19VXX11pndTUVK1fv16vvPKKYmJi9P777+u2225TVFSUrrjiCrf6Gz9+vD7++ONKXzb83//+V2PGjNHTTz+toUOH6uuvv9aECRMUFhamSZMm1er7AYDDbpfDgGUq/vLOJXgOmQkA3mW2TPfqRDExMVGJiYnV1tmyZYuSk5MVHx8vSbr55pv13HPP6ZNPPnEr9J566ilJ0nfffVdp6P373//WVVddpVtuuUWS1KFDB6WlpenRRx/VxIkTZbFYKlxTWlqq0tJS53FRUVGNxwMAgDvITABAffL5p572799f7777rg4ePCiHw6EPPvhAe/bs0dChQw3tp7S0VKGhoS7nwsLCdODAAeXl5VV6TXp6umw2m7NER0cbOiYAAcDhMK4A50BmAoAHmSzTfX6i+PTTT6tr165q06aNGjZsqOHDh2vu3Ln63e9+Z2g/w4YN01tvvaV169bJbrdrz549evLJJyVJhw4dqvSatLQ0FRYWOkt+fr6hYwIQAOwO4wpwDmQmAHiQyTLd5596+vTTT+ujjz7Su+++q3bt2mnjxo2aOHGioqKiNHjwYMP6mTBhgvbt26c//OEPOn36tMLDw3XHHXdo5syZCgqqfD5ttVpltVoNGwMAAHVBZgIAjOLTE8WTJ0/q73//u95++22NHDlSktSjRw9lZWXpiSeeMDT0LBaLHn30Uc2aNUsFBQU6//zztW7dOkln9l4AQK04HJKMeOeSf/z6CO8hMwHAw0yW6T49UTx9+rROnz5d4dfJ4OBg2e2eeVpQcHCwLrjgAknSkiVLFBcXp/PPP98jfQEIfA67Qw5L3QPB4SehAu8hMwHAs8yW6V6dKBYXFys7O9t5nJOTo6ysLDVv3lxt27ZVeHi4LrvsMk2dOlVhYWFq166dNmzYoJdfflmzZ892q6/s7GwVFxeroKBAJ0+eVFZWliSpa9euatiwoY4ePao33nhD8fHxOnXqlBYtWqTXX39dGzZsMPIrAwBQK2QmAKA+WRxenNJmZmYqISGhwvnk5GRlZGRIkgoKCpSWlqb3339fx44dU7t27XTzzTdrypQpzsdvp6SkKDc3V5mZmVX2FR8fX2mA5eTkKCYmRkePHlVSUpK+/PJLORwOxcXF6eGHH1a/fv1q/H2Kiopks9lUWFio8PDwGl8HwLs88e/u2TYTgq9WiKVBndv7yXFaH5S/xd8XEyMzAeDcyHTjePWOYnx8/DlvvUZERGjRokXV1snJyak0PH+pukCUpJYtW2rr1q3V1gEAd3l7mcrcuXP1+OOPq6CgQD179tTTTz+tvn37Vln/9ddf17Rp05Sbm6uLL75Yjz76qEaMGFHbYcNAZCYAeJc3M90bee7zr8c4l8LCQu3bt0933XWXt4cCAD5l2bJlSk1N1YwZM7Rjxw717NlTw4YN05EjRyqtv2XLFo0ePVo33nijPvvsM1111VW66qqr9NVXX9XzyOEpZCYA+B9v5blXl54GmsLCQjVt2lT5+fk+fRsZgKuioiJFR0fr+PHjstlshrVps9k0UCMUIgOWqei0Nuu9Cn9fqnvlQL9+/XTppZfqmWeekSTZ7XZFR0fr9ttv17333luh/qhRo1RSUqIVK1Y4z/32t79VbGys5s+fX+fvAPwSmQnAEwIx072V5z791FN/c+LECUlSdHS0l0cCoDZOnDhhWKg0bNhQERER2lzwniHtSVKTJk0q/H2ZMWOGZs6cWaFuWVmZtm/frrS0NOe5oKAgDR48uMolg1u3blVqaqrLuWHDhmn58uV1Hjvwa2QmAE8KlEz3Zp4zUTRQVFSU8vPzdd555zkfGlCZs790GPUrqpna8+Wx0Z7/tudwOHTixAlFRUXVuc+zQkNDlZOTo7KyMsPadDgcFf62VHU38ejRoyovL1fr1q1dzrdu3Vr/+9//Kr2moKCg0voFBQV1GDVQuUDITF8eG+3RnlnbC7RM92aeM1E0UFBQkNq0aVPj+uHh4YYutzFTe748Ntrzz/aM+tXxl0JDQxUaGmp4u0AgCKTM9OWx0R7tmbE9Mt0Yfv8wGwBARS1btlRwcLAOHz7scv7w4cOKiIio9JqIiAi36gMAAM/yZp4zUQSAANSwYUP17t1b69atc56z2+1at26d4uLiKr0mLi7Opb4krVmzpsr6AADAs7yZ5yw99QKr1aoZM2ZUubeI9uqnLdqjvUCXmpqq5ORk9enTR3379tWcOXNUUlKicePGSZLGjh2rCy64QOnp6ZKkO+64Q5dddpmefPJJjRw5UkuXLtW2bdv0/PPPe/NrwOR8+e+CL4+N9miP9gKHt/Kc12MAQAB75plnnC/ojY2N1VNPPaV+/fpJOvMC95iYGGVkZDjrv/7667r//vudL+h97LHH3H5BLwAAMJY38pyJIgAAAADABXsUAQAAAAAumCgCAAAAAFwwUQQAAAAAuGCiCAAAAABwwUQRqMa6devUpUsXlZeX16j+/PnzlZSU5OFRAQDg/9zN2Lq67rrr9OSTT9ZLX0AgYKII00pJSZHFYqlQhg8f7qxz99136/7771dwcLAkKSMjo9JrXnzxRUnS+PHjtWPHDm3atMkr3wkAAF/giYytq/vvv18PP/ywCgsLDWkPCHQh3h4A4E3Dhw/XokWLXM6dfZHr5s2btW/fPv3pT39y+Tw8PFy7d+92OWez2SRJDRs21PXXX6+nnnpKgwYN8uDIAQDwbUZnbF1dcskluvDCC/XKK69o4sSJhrQJBDLuKMLUrFarIiIiXEqzZs0kSUuXLtWQIUMUGhrqco3FYqlwTVhYmPPzpKQkvfvuuzp58mS9fhcAAHyJJzK2KjNnzlRsbKz+/e9/KyYmRjabTdddd51OnDjhUi8pKUlLly417ksCAYyJIlCFTZs2qU+fPm5f16dPH/3000/6+OOPPTAqAAD8X20ztjr79u3T8uXLtWLFCq1YsUIbNmzQI4884lKnb9+++uSTT1RaWmpo30AgYqIIU1uxYoWaNGniUmbNmiVJysvLU1RUVIVrCgsLXepHRES4fN6oUSPZbDbl5eXVy3cAAMAXeSJjq2O325WRkaFLLrlEgwYN0g033KB169a51ImKilJZWZkKCgrq9uUAE2CPIkwtISFB8+bNcznXvHlzSdLJkycrLImRpPPOO087duxwHgcFVfy9JSwsTD/++KPBowUAwH94KmOrEhMTo/POO895HBkZqSNHjrjUObuMlYwGzo2JIkytcePGuuiiiyr9rGXLlvrhhx8qnA8KCqrymrOOHTum888/35AxAgDgjzyVsVVp0KCBy7HFYpHdbnc5d+zYMUkio4EaYOkpUIVevXpp165dbl+3b98+nTp1Sr169fLAqAAA8H+1zdi6+uqrr9SmTRu1bNmy3vsG/A13FGFqpaWlFfYphISEqGXLlho2bJheeuklt9vctGmTOnTooAsvvNCoYQIA4Hc8kbF1tWnTJg0dOrTe+wX8EXcUYWqrVq1SZGSkSxk4cKAkacyYMdq5c2eF9zmdy5IlSzRhwgRPDBcAAL/hiYyti1OnTmn58uVkNFBDFofD4fD2IABfNXXqVBUVFem5556rUf2dO3fq97//vfbs2WPYC4IBAAhE7mZsXc2bN09vv/223n///XrpD/B33FEEqnHfffepXbt2FTbDV+XQoUN6+eWXmSQCAHAO7mZsXTVo0EBPP/10vfQFBALuKAIAAMCndevWrcr3Ez/33HMaM2ZMPY8ICHxMFAEAAODT8vLydPr06Uo/a926tcv7EwEYg4kiAAAAAMAFexQBAAAAAC6YKAIAAAAAXDBRBAAAAAC4YKIIAAAAAHDBRBEAAAAA4IKJIgAAAADABRNFAAAAAICL/wNmMh3pZkn8iAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.draw_all_phi(filltype = 'nan', colorbar = True)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.draw_all_psi(figsize = (15,10), colorbar = True, \n", " filltype = 'nan');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing the loss\n", "\n", "Our next goal is to determine the loss for the given assignment, where if the loss is $K$ for an $n$-assignment, we know that the interleaving distance for the inputs is $d_I(F,G) \\leq n+K$. To do this, we have a giant list of diagrams to check. However, checking these diagrams is reduced to finding maximal entries in products of matrices we've built above. \n", "\n", "The table below shows the diagrams to be checked, following the notation in the paper (**TODO cite paper when it's available!**). In the following sections of the tutorial, we go through each of the three types of diagrams. \n", "\n", "![The list of diagrams and relevant matrix multiplications](../images/TheList.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Spoiler alert, the loss for the input assignment can be easily checked with the `.loss` function" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Dgm Type Req A Req B Loss\n", "0 Edge-Vertex phi up 3.0\n", "1 Edge-Vertex phi down 1.0\n", "2 Edge-Vertex psi up 0.0\n", "3 Edge-Vertex psi down 0.0\n", "4 Thickening phi V 2.0\n", "5 Thickening phi E 2.0\n", "6 Thickening psi V 0.0\n", "7 Thickening psi E 0.0\n", "8 Triangle V F 0.0\n", "9 Triangle V G 1.0\n", "10 Triangle E F 0.0\n", "11 Triangle E G 1.0\n", "\n", "Loss: 3.0\n", "Interleaving distance bound: 1 + 3.0 = 4.0\n" ] }, { "data": { "text/plain": [ "3.0" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myAssgn_TL.loss(verbose = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, in the following sections, we show the code to compute each type of diagram loss that goes into the calculation above. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Parallelograms - Edge vertex\n", "\n", "Internally, the code multiplies all the relevant matrices together and returns the product with the `myAssgn.paralellogram_Edge_Vert_matrix` command. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "cereeberus.distance.labeled_blocks.LabeledBlockMatrix" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = myAssgn_TL.parallelogram_Edge_Vert_matrix(maptype = 'phi')\n", "type(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, as it is helpful for debugging and visualization, we can draw all the relevant matrices with the same command using the `draw = True` flag. " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.parallelogram_Edge_Vert_matrix(maptype = 'phi', draw = True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, if we just want the loss value for this diagram type, we have the `.parallelograpm_Edge_Vert` command. The loss value computed is the maximum value in the multiplied matrix. " ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for phi edge-vertex parallelogram: 1.0\n" ] } ], "source": [ "result = myAssgn_TL.parallelogram_Edge_Vert(maptype = 'phi')\n", "print(f\"Maximum loss value for phi edge-vertex parallelogram: {result}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we need the loss by function value level, we can also pass in the value we care about. " ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for phi edge-vertex\n", "parallelogram at function value 5: 3.0\n" ] } ], "source": [ "result = myAssgn_TL.parallelogram_Edge_Vert(maptype='phi', up_or_down='up', func_val= 5)\n", "print(f\"Maximum loss value for phi edge-vertex\\nparallelogram at function value {5}: {result}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Parallelograms - Thickening \n", "\n", "The version of computing the parallelogram loss for the thickening type of diagrams has a similar structure to the edge-vertex version. The main difference is that we have a choice of object type (either vertices or edges). However, the loss value returned is still the maximum value in the multiplied matrix. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.parallelogram_matrix(maptype = 'phi', \n", " obj_type = 'E', \n", " draw = True);" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for thickening paralellogram for edges: 2.0\n" ] } ], "source": [ "result = myAssgn_TL.parallelogram(maptype = 'phi', obj_type = 'E', )\n", "print(f\"Maximum loss value for thickening paralellogram for edges: {result}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And as before, we can also compute the loss by each function value." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for edges at function value 5: 2.0\n" ] } ], "source": [ "result = myAssgn_TL.parallelogram(maptype='phi', obj_type='E', func_val=5)\n", "print(f\"Maximum loss value for edges at function value {5}: {result}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Triangles\n", "Finally, the triangle diagrams are the ones that ensure that the assignment forms an interleaving. Note that the loss function computed is $\\lceil \\frac{k}{2} \\rceil$ for $k$ the maximum absolute value in the multiplied matrix. \n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.triangle_matrix(start_graph = 'G', obj_type = 'E', draw = True);" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for triangle: 2.0\n" ] } ], "source": [ "myAssgn_TL.triangle(start_graph = 'G', obj_type = 'E');\n", "print(f\"Maximum loss value for triangle: {result}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute the loss by each function value" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for vertices at function value 5: 1.0\n" ] } ], "source": [ "result = myAssgn_TL.triangle(start_graph = 'G', obj_type = 'V', func_val=5)\n", "print(f\"Maximum loss value for vertices at function value {5}: {result}\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum loss value for triangle: 1.0\n" ] } ], "source": [ "results = myAssgn_TL.triangle(start_graph = 'G', obj_type = 'E')\n", "print(f\"Maximum loss value for triangle: {results}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The loss computation for fixed assignment input \n", "\n", "We do not need all the visuals above, the loss function for a fixed input assignment can be computed as follows. Note that the actual distance between a line and a torus graph with loop height $h$ is $\\lceil \\frac{h}{4}\\rceil$, so in this case the actual distance $d_I(T,L) =\\lceil \\frac{8}{4}\\rceil = 2$. " ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Dgm Type Req A Req B Loss\n", "0 Edge-Vertex phi up 3.0\n", "1 Edge-Vertex phi down 1.0\n", "2 Edge-Vertex psi up 0.0\n", "3 Edge-Vertex psi down 0.0\n", "4 Thickening phi V 2.0\n", "5 Thickening phi E 2.0\n", "6 Thickening psi V 0.0\n", "7 Thickening psi E 0.0\n", "8 Triangle V F 0.0\n", "9 Triangle V G 1.0\n", "10 Triangle E F 0.0\n", "11 Triangle E G 1.0\n", "\n", "Loss: 3.0\n", "Interleaving distance bound: 1 + 3.0 = 4.0\n" ] }, { "data": { "text/plain": [ "3.0" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myAssgn_TL.loss(verbose = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, if we want to use the internal ILP solver to find an optimal interleaving, we use the `.optimize` command. " ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimized loss value: 1.0\n", "Bound for interleaving: 2.0\n" ] } ], "source": [ "loss_optimized = myAssgn_TL.optimize()\n", "print(f\"Optimized loss value: {loss_optimized}\")\n", "print(f\"Bound for interleaving: {loss_optimized + myAssgn_TL.n}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that when we optimize the loss function, we also overwrite the phi and psi with the found assignment internally. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loss is now 1.0\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myAssgn_TL.draw_all_phi();\n", "print(f'Loss is now {myAssgn_TL.loss()}')" ] } ], "metadata": { "kernelspec": { "display_name": "interleavingenv", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 2 }