{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Laplacians of simplicial complexes" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy import sparse\n", "import scipy.sparse.linalg\n", "import matplotlib as mpl\n", "from matplotlib import pyplot as plt\n", "import gudhi\n", "import pygsp as pg\n", "\n", "import sys\n", "sys.path.append('..')\n", "from data.s2_6_complex_to_laplacians import build_boundaries, build_laplacians" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 Build an alpha complex from a point cloud\n", "\n", "The simplicial complex is built from a [Delaunay triangulation](https://en.wikipedia.org/wiki/Delaunay_triangulation).\n", "See the [CGAL documentation](https://doc.cgal.org/latest/Triangulation/index.html).\n", "\n", "Alternatives:\n", "* [`scipy.spatial.Delaunay`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.Delaunay.html).\n", " Only for convex shapes?\n", "* Directly use CGAL. There are Python bindings, but [they don't seem to include the Delaunay triangulation](https://github.com/CGAL/cgal-swig-bindings/wiki/Package_wrappers_available)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100 points\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_points = 100 # Approximate.\n", "dim = 2\n", "\n", "rs = np.random.RandomState(None)\n", "points = np.concatenate([\n", " [0.2, 1] * rs.uniform(size=(n_points//4, dim)),\n", " [0.2, 0.8] + [0.6, 0.2] * rs.uniform(size=(n_points//6, dim)),\n", " [0.2, 0] + [0.6, 0.2] * rs.uniform(size=(n_points//6, dim)),\n", " [0.8, 0] + [0.2, 1] * rs.uniform(size=(n_points//4, dim)),\n", " [0.4, 0.4] + [0.2, 0.2] * rs.uniform(size=(n_points//6, dim))\n", "])\n", "\n", "points = np.random.uniform(size=(n_points, dim))\n", "#points = pg.graphs.Grid2d(10).coords\n", "\n", "n_points = points.shape[0]\n", "print(f'{n_points} points')\n", "\n", "plt.scatter(*points.T);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "from scipy import spatial\n", "\n", "tri = spatial.Delaunay(points)\n", "print(f'{tri.simplices.shape[0]} triangles')\n", "\n", "plt.triplot(points[:,0], points[:,1], tri.simplices);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "filtration: 573 => 498 simplices\n" ] } ], "source": [ "ac = gudhi.AlphaComplex(points)\n", "st = ac.create_simplex_tree()\n", "\n", "before = st.num_simplices()\n", "_ = st.prune_above_filtration(1e-2)\n", "print(f'filtration: {before} => {st.num_simplices()} simplices')\n", "\n", "assert st.num_vertices() == n_points\n", "assert st.dimension() == dim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2 Extract simplices\n", "\n", "* $n_0$ is the number of 0-simplices (nodes)\n", "* $n_1$ is the number of 1-simplices (edges)\n", "* $n_2$ is the number of 2-simplices (triangles)\n", "* $n_k$ is the number of $k$-simplices\n", "\n", "`simplices` is a list of dictionaries, with one dictionary per degree $k$.\n", "Each dictionary maps a simplex (represented as a set of vertices) to an integer that will be its index in the boundary and Laplacian operators." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def extract_simplices(simplex_tree):\n", " simplices = [dict() for _ in range(simplex_tree.dimension()+1)]\n", " for simplex, _ in simplex_tree.get_skeleton(simplex_tree.dimension()):\n", " k = len(simplex)\n", " simplices[k-1][frozenset(simplex)] = len(simplices[k-1])\n", " return simplices\n", "\n", "simplices = extract_simplices(st)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_0 = 100 0-simplices\n", "n_1 = 251 1-simplices\n", "n_2 = 147 2-simplices\n" ] } ], "source": [ "for k, s in enumerate(simplices):\n", " print(f'n_{k} = {len(s):,} {k}-simplices')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1 Plotting" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def get_positions(simplices, dim):\n", " polygons = list()\n", " for i, simplex in enumerate(simplices[dim].keys()):\n", " assert simplices[dim][simplex] == i # Dictionary is ordered.\n", " polygon = list()\n", " for vertex in simplex:\n", " polygon.append(points[vertex])\n", " polygons.append(polygon)\n", " return polygons\n", "\n", "lines = get_positions(simplices, 1)\n", "triangles = get_positions(simplices, 2)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def value2color(values):\n", " values -= values.min()\n", " values /= values.max()\n", " return mpl.cm.viridis(values)\n", "\n", "def plot_nodes(colors, ax=None, **kwargs):\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", " ax.scatter(points[:, 0], points[:, 1], c=colors, **kwargs)\n", " return ax.figure, ax\n", "\n", "def plot_edges(colors, ax=None, **kwargs):\n", " if ax is None:\n", " fig, ax = plt.subfigs()\n", " colors = value2color(colors)\n", " collection = mpl.collections.LineCollection(lines, colors=colors, **kwargs)\n", " ax.add_collection(collection)\n", " ax.autoscale()\n", "\n", "def plot_triangles(colors, ax=None, **kwargs):\n", " if ax is None:\n", " fig, ax = plt.subfigs()\n", " colors = value2color(colors)\n", " for triangle, color in zip(triangles, colors):\n", " triangle = plt.Polygon(triangle, color=color, **kwargs)\n", " ax.add_patch(triangle)\n", " ax.autoscale()\n", " \n", "def plot_triangles_plain( ax=None, **kwargs):\n", " if ax is None:\n", " fig, ax = plt.subfigs()\n", " colors = len(simplices[1])*['linen']\n", " for triangle, color in zip(triangles, colors):\n", " triangle = plt.Polygon(triangle, color=color, **kwargs)\n", " ax.add_patch(triangle)\n", " ax.autoscale()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3 Build boundary operators\n", "\n", "$$\n", "\\nabla_k \\in \\mathbb{R}^{n_{k-1} \\times n_k}, \\ k \\in [1, K]\n", "$$\n", "\n", "* Also known as incidence matrices.\n", "* Each $k$-simplex is connected to its $(k-1)$-faces.\n", "* They are the gradient operators (and their transpose are the divergence operators)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "boundaries = build_boundaries(simplices)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1 Discrete derivatives and integrals\n", "\n", "* $\\nabla_k^\\top \\in \\mathbb{R}^{n_k \\times n_{k-1}}$ is the difference operator (discrete exterior derivative)\n", "* $\\langle \\nabla_k^\\top f, g \\rangle = (\\nabla_k^\\top f)^\\top g = f^\\top \\nabla_k g = \\langle f, \\nabla_k g \\rangle$, hence $\\nabla_k$ is the codifferential of $\\nabla_k^\\top$.\n", " The codifferential is the adjoint of the difference.\n", "* The codifferential represents sums (\"finite integrals\") over $k$-surfaces." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s1 = np.zeros(len(simplices[1]))\n", "s1[100:150] = 1\n", "\n", "#s1 = np.random.uniform(size=len(simplices[1]))\n", "\n", "s0 = boundaries[0] @ s1\n", "s2 = boundaries[1].T @ s1\n", "\n", "fig, ax = plt.subplots()\n", "plot_nodes(s0, ax, zorder=3)\n", "plot_edges(s1, ax, zorder=2)\n", "plot_triangles(s2, ax, zorder=1)\n", "\n", "#plt.colorbar(ax.collections[0], ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4 Build Laplacians\n", "\n", "$$\n", "L_k = L_k^\\text{down} + L_k^\\text{up}\n", " = \\nabla_{k}^\\top \\nabla_{k} + \\nabla_{k+1} \\nabla_{k+1}^\\top\n", " \\in \\mathbb{R}^{n_k \\times n_k}, \\ k \\in [0, K]\n", "$$\n", "\n", "* Graph Laplacian $L_0 = \\nabla_{1} \\nabla_{1}^\\top$\n", "* Last Laplacian $L_K = \\nabla_{K}^\\top \\nabla_{K}$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0-simplices: 100 simplices, 6.02% sparse\n", "1-simplices: 251 simplices, 2.59% sparse\n", "2-simplices: 147 simplices, 2.49% sparse\n" ] } ], "source": [ "laplacians = build_laplacians(boundaries)\n", "\n", "for k, laplacian in enumerate(laplacians):\n", " print('{}-simplices: {:,} simplices, {:.2%} sparse'.format(k, laplacian.shape[0], laplacian.nnz/np.prod(laplacian.shape)))\n", " assert laplacian.shape == (len(simplices[k]), len(simplices[k]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5 Eigenvectors\n", "\n", "$$\n", "L_k = V_k \\Lambda_k V_k^\\top, \\ V_k = [v_1, \\dots, v_{n_k}] \\in \\mathbb{R}^{n_k \\times n_k}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.1 Vertices (0-simplices)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_eigen(laplacian, plot, n_eigenvectors=4):\n", " values, vectors = sparse.linalg.eigsh(laplacian, n_eigenvectors, which='SM')\n", " fix, axes = plt.subplots(1, n_eigenvectors+3, figsize=(20, 3))\n", " axes[0].plot(values, '.')\n", " axes[1].scatter(vectors[:, 0], vectors[:, 1])\n", " axes[2].scatter(vectors[:, 2], vectors[:, 3])\n", " for i in range(n_eigenvectors):\n", " plot(vectors[:, i], axes[i+3])\n", " axes[i+3].axis('off')\n", "\n", "plot_eigen(laplacians[0], plot_nodes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.2 Edges (1-simplices)\n", "\n", "The edges indeed seem to be embeded in linear subspaces.\n", "\n", "TODO:\n", "* Why don't the edge eigenvectors concentrate around the hole?\n", " As in [Control Using Higher Order Laplacians in Network Topologies](https://pdfs.semanticscholar.org/b3e5/5866a7463295f52962db66f26eaa348bd935.pdf), figure 4." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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GPyxlvQtAhxh9DqQkDvHOyJ2R7K/5bkH8SJ8ATyE0QSEIpyphzqpnPXvLNA2WsP/dE8TD6t8IXzd08txX0Yv6Vs5b5e7oVoWE4b62wJso1dbygxTzbwtuQjF/xczkkru3ne709UKpBUCD3/kRjiliXstsiA5nezm4bcvAtH0xr2X6gMyY1zLjtwxMy6vwAEefO1xidwrYFs2jC84WKfhw9p+fLuVFkDQ/tRk60XyN2mK7uRMaohewvwBDNlz7kIqdPRGO0Bbj5mTUB54BbgGKgC/QHgcqf0D67WXa7kWH2NU14oH/bUoplW9pMtr7517g4VrpFZA42NvSLaTsP5GoqN9EXMX8tPpJz4dhmrYD1q/L9NS0F+BjaI/evhse9myPyfYCEJPtlS2jDz8EOi7Tdzv6WuC3ozigLD5DaK/gyq2e5OJguzaTvS8B3avpMxxLhLtOv4keZ8YlzU99vZY8PRmcO9QCng3YrkaRroDUdxefJMKct7o/WTYfSTvnuUbHxh6LxvQCUoB/fNJz6qtdF6Sc77x1RGNjt4VjzwPmgrR0MmS8AnIjMGd576xPQ9pdoxRzOZhf8HdhHbqJwWAwHD7z8rbTLesjWqW8S7esj5iXt722u2QwGAyVEY++O15yN9TJrzQJvSC9vpb6hXPuy4BX0ZPEjsBrCXf5yt6EbIdeYG+rqY7Fj/CdgA5D+Aq4K+8pj06PfYQkDPddA3yGUidZxWyzAmwVYTg6DMFTpnljRABqJXHsUeR89IKirED1FLqgwLga75FD5tq+pwJTTozet+zb35ooW0kh8M51n97dqkzT4AKtpr0LpgNtgBs3XPtQ0NvhiOwxbk5Ga3TYzM3oMMhIYBRaVBwcNyejeUhbF1pErVO2GJvlE/TYWMoWN6V41qJFg3tjs3yNa6NviYO9AkwXhSpqwrLi+monMLHjKN/NYZq3o4Ztsd143zVojz3vhoc9QQ/EoC0elmAQl+mLisv0PQu8oFBf2PVogIUXIQs4He11VIIgjQX57Xd+hGOReLQHXUk4pFMMYjJaVK5NT7PbgL8Ar+8tjgToCrx49dJRZfWWGvcC7LFozCnosP71wH3O5iOyRYBuC8feCOQoRX0FP4CsBRkB7CLMdVpfpqkWe6wW8UpELhORjSKyWURSwrwfJSKvOe+vEJGWIe+lOts3ikifQx1TRFo5x9jkHDPySM4hImeKyGIRWS8ia0Uk+I80GAyHSVmh6sF5a0idu4btuwpRwPZdhaTOXWMErGOAKozXySKyTkT+KyKLROTs2uinwVALJABrwnhXvaUU22wpVSWvxogf6WuGDlf6HJt0Z5Y5G7gCmJ5wly904tkOyF/5fM2Ug48f4QsmxW4BDMx7ylN2clrlSXHCcJ8rYbhvEjqXyXqrmCzLpjWQkjszeS9alLisy63ec0J2Cy6a69oiLTRZewlbBqbtUjb/BtWjw7yHa8tF2AfUr+fyDw0oV97Xu5vmoyM53r/u07ubh7SrcfGq3dwJt6JDfCdsuPahj8u8fXhiwZyMy9Fel2ejww4TgVfyB6TnonMnRUOpELBGznNds8XTgZMoL6SCYopSqoES9dca75VmAHocTMfF/P0n0VSh/gP8s+Mo3yXBRu3TfE3RiftrzhbH+85GJxD/HEgNeetIvK3OBD4B7lSoyXY9ChF+BrLQYdb5gKe1zxtq442pY0KqQwKQF8a76lWl1I+CXSvX6cG5Q08GpgKf7PVHTi6y3RTZrtfRNvpomebnABsWXeytEQ+xHovGBPNRNgEGftJzarB68mGfv9vCsRHdFo6dBswCPlfwFMjpwJjlvbN2A88B13ZdkBK6dggmea8We/zd4pWIuNATisuB9sAgEWlfptlQYKdSqg36ojfF2bc9uqJHB/QdxadExHWIY04BfEqpWLRqOfRIzgH4gdFKqXPQlUVGhum3wWA4BPPytpcTqmblfF0q6TlAYXGAqfM31k4nDUCVx+s8oLNS6jx0DoGyF12Doc6ROMQb9C4olzdJAnQWmzOVRb+Oo3yn1nzvmIxePN656nnPNmCrKKKc7Xeic00FqWnvghHopNgpeU95Pg/ZfliT4oThvhPRi7BU4DmrWF1m2YwGlqPHIdCJ9A+gw5SCBCfFdU0wiAd+QidvLqHVrMn1lS09seXkyIhAv5ruVObavpeh59ST0jq8sxFYfCAQ0dFvW9cBLYF51316dz2neY16AbabO6EkKTYwsczbVbbHuDkZVtycjIfQOV2+RlcLuwRw4Xi85Q9I/x/wITAqbk5GsBJcXbZFCF8V7TpBIpSLUTXZIYDEwd6m6Cqwq4C/A4sRpOA0nkWLOXM7jvL9yWleo0Jqu/G+COAVtM3csOFhT7hiH1USU+MyfZcAK9GCx7V2NDkIFwKPbElO/m2rJ9lG39y4AO3pE6QJdcwWk+anRqBzXpWzRVvJnxVysiXqlos/Gl0bnoA+oCFwF8g64Oe9xZFFaNscffXSUfeEtK3p6/QD6KqV937Sc2q4JPFVssVuC8e2AD5CX4MftxX9QTzosTBYZOBJ9HgbOiZU602m6vC8SgQ2K6W2KqWK0PkOri7T5mpgpvP3HKCniIiz/VWl1AGl1JfAZud4YY/p7HMJBycyM9GTpsM+h1Lqe6XUKgCl1B60G51JdGMwHCZT528sJ1RVNEv8blfZsG9DDXPI8VoptVgpFbwrk4OuaGYw1HVaAk0p413Q5RZvM3T+nJ8DOltDl5rsVPxIXzfgLuDxvOmeYN+WABeiSEeH601OuMt3Y6dhvih0eGONTIrjR/g6Al4OJsUOxyEnxQnDfZ3Qi7MewNBVz3jusgLcg/bmGu2EbrLixeSf0XePB3e51Rv08KnLnld5Wwamlb2c/h1oU79+0S4REmuyQ5lr+9ZHi0Mb0R4foG0xavOvJ9poj6fuwMzrPr3bQi+2N+X0mXzU88S1mzuhVFLsDdc+FM7z8JC2GDcnoynwFjqp8cvoxMaN0Z5X0/IHpG8Lae6jdLhW0BbrmrdLAnpaV6qCaexk31XAaGWptVi0j/F6azoVzSTgZODO3JnJfuAzoMCOJBHtjVUAvNdxlO80at4LcDxaSLpzw8OeLWXeq5KQGpfpk7hM3xh03sWfgQsC0eod9A3FDegCDkFmosO1/hayrS56Xp2DzptU6jqd+MG4k9Fi4fYIVwC0kFdjDM4d2hu4EZg8M/GFDU5i8yUgFxfblgc9pky7eumoq3suTq5RL8Aei8b8GS3mv075ojNVFvW7LRzbDX2dTgBuXNZrigfkAaAZcP/y3lkKYHnvrG/QOsywrgtSGjq7NwYKl/WaUhzm0IdNdQw0pwOh2eq/pbwIVNJGKeVH/5iaV7JvRdubA7ucY5Q91+GeowQnxDCekLLNBoOhahyOIHVa0+ij2BNDFajKeB3KUJzKXwZDHaecd0GXW7wC/As4A2EglvipQfEqfqQvEu1t9DWlEyIvBpqJ4k/A7WhPk38p4Qb0vO6oJ4GNH+ErlRTbyXMVSpUmxQnDfbfjVHQDuq96xvPPxCHeFug7xbNzZyQvL7PLNEqHazUGClY+56mVRPpHg5jXMqPQ0QKlvAtazZp8K3A7SGZEROA/1LCQCjyETsR/V1qHdw442/6DLgN/0ew/P/06MAadny0LJ0F2DfVtKjpP2OAN1z4ULj/BIe0xbk7GeegQr8vQXgODgUJ0wu2daLEklA9wwrWcaoR1VUiNBzZuSjlYHCJ2su9sYAawSrmZhv7sbWuqQ4mDvV2B4cATuTOTVwJsuT+5CD2WXLT6Sc/X6IqczYB3UZyH9gL88mj3rd14X0lS7A0Pe16tpGmFYmpcpq8RWmx4FHgD6JKf5tmIHvfaAg9sST6YnH2rJ3kfOlyrf2ufNxiu1Zi6aYsQMjYmfjDOhRaam1mibnByK9XY2Dg4d2h94Gn0WDA55K3FwBm/FdVriRa2PgNeibAC1zrvH/WxsceiMc3Qot5XwJ2f9Jxa0ThYoS12WzhWui0cew/6RsU+IGlZrymvdF2Q0grtgTVjee+sL8rs9jja82+I87pavQCrQ7wK94HLfjkVtamu7UdyDr2TSEP0wPA3pVTYL1ZE7hSRz0Xk859/rtEKqwbDMU9FglTZH150hIsxfWpsbmMIT1XGa91Q5GagM3pREP5gZmw01B3igQCwJmTbfWjPxAdyX0z+BFiNTjNQU9yPFjFG5k0vVVUwmMvn4lXPeg4A1wBb0CHBUDN3dEuSYuc95fmlknZhJ8UJw31RCcN18mG0ANJp1TMlYYfj0YmxU8vut+LF5JJwrS63eiPQk+K65l3QAZ1DqsS7oNWsye3RC6SP0d9PDtA24b0Hm9VEhzLX9j0PbY//TOvwTkkuqTVXjd+NXkhe7GzKBqYrxRhQNeIF2G7uhGvQYpN3w7UPvVtJ04rFgjkZN6K/0/rAhfkD0qfnD0hXaCGrJzA+f0D6rtB98geklw3Xqta8LscQpZK1x072RaKFaxdwPcJ/nLdqZGxMHOyNQAs13wLpZd5eApwX85j3xNVPevKA64BzJcBNKDatyzy6Ine78b5wSbHLUmmS7LhMXzu0M8U16N/cwPw0z94Yr7cJ+re/BHgnzK5lw7XqXNgg2hYLgE0h21JxQuJy+mQtQ485NXmdTgdaA3fNTHxhf8j2Jc7zRW91f7IA+CvwvSXqcWf7UR0beywaE8xHeRpwwyc9p4Yblyq1xW4Lx9YHXkSH574PXLCs15TgHGkSes5U9jfI8t5ZOWgbvq/rghSLahZSy1apORK+Bc4MeX0GZWL0Q9p8KyJu9A/q10PsG277L0BTEXE73lWh7Q/7HCISgRauZiml5lb0AZVSz6EHSjp37lwr5TcNhmOVMX3akjp3TanQwegIF/07nc7iDT/z3a5CTmsazZg+bekXbyJza5mqjNeIyKVAGnChUupA2feDmLHRUIdIANbnzkjeD9DlFm8i+q73W+i7iKAXt0M6jvK5Vj95dBOix4/0tUF7uszJm+4ptVBZ+bznm07DfFuAi4DHVz3r2Zlwl+9ylFqLTcBdoP7ddVD298D36Ap94Z5/Xf7K6CP6zcaP8AWTYj+S95SnbFLsIBUeO2G470x0WEEi+k51+qpn9PeZOMT7J7TH57TcGcllw22C+NChigOom94FpZK1t5o1uQE6Qf9eYNCXN6X6E957MMdpkwjMP5qdyVzb14Ue539Fe1aVZQlw77lvPxy95qqnC6/79O77Cous822/1fW3XxqMaDk9+1Iqt8Wfto0cfUThJO3mTqgoKXZZwtqjk6/qMbQHwX+A6/MHpP/gvOd23tsMPFPBcWcCmejqWm842+qMPcZm+ZoDZ6GFkSBZaM+W6zalerY44YK7nW3/qoFujQb+BFztFHIIZYnz3AOYu/pJzwcdR/qGK5f9jN080CxuTkYepW2vnD3mD0gv4AhoN94XmhT70g0Peyo6ToVjY1ym71q0R9t+oFd+mmdxyNtjgROB+7ckJ5c7xlZP8jetfd45wLCYx7yTLSSSuiekJgBf5PSZrK8XH4y7GC3ozeJgSNwK4PKLPxotiy/JPqrz0sG5Q89FC4wzZia+sKTM2xuAH9HC/gtvdX/yp6uXjrrcH+ALf0ACP+9t+Fb7eY9UNCYGn3eu6/fIkX6Gu3EE0E96Tv2sgjYVHrvbwrEx6OIp56IFqknLek2xAbouSOmCzn2Ysbx3VkWVuHzo1CRXUs03mapDvPoMiBWRVsB29Ie5sUybt9Hut8vRk42PlFJKRN4G/i0iXrQyGAvkohXAcsd09lnsHONV55hvHck5nHxYLwDrlVLeavgeDIY/JEFBaur8jUaoOvY55HgtIvHoUKXLlFI/1XwXDYZaIR6dW4Qut3hPQIdsfAfctuKlkoXCCvRd7faU9tCq3o6M9Anay+YAFd+9XwwM6DTM51r5vCcgNt+gsKxi5RKdILsBWthogfYmKUtx10HZP1DxpDn4/OPyV0aXCNjxI3yVJcUOR6k7ugnDfZeg52/1gGtXPeN5s0z7qejFf2XH/gCdd8mDUjsQqWsLtHj0d7DVef0kOtdL7y9vSv3e2fY5euGRxFEWr9A517oAt6R1eOfXMO8vRi/gugIfzf7z04GLF4z+IcK2XQf2RXasN+oAACAASURBVO5Fi25xaEGheZj9Vcvp2b9waFv8Hti7baQWXdvNnRCBzvmmk2Jf+1C4pNihlLLFuDkZLdC/8+5ogfqB/AHpoSLabejfev/8Aelhj50/IH1f3JyM55zPv9LZXJfssVSYVuxk39Vooe7JTameOQBbkpPtGK93BTXg7ZI42BuDDqGemzsz+e0wTT5De+ZcjF54I4qNEQW4CmOLbfS851R0iOkpaNspRdycjD1UbofB5x2O912QYFLsOzc87AmXFLssJfYYl+lzo8e8seh1cP/8NM+3wfdjvN6z0N/7y1uSk1eWPVAIjwMDlcWdzus6I6QmzU+1gI5oTyASPxh3Cvr3vwkYnnvZpOB1OgetB7TkKIaJDs4daqHnyrvQv/9SLL30UdX9wweWABd1//ABWXrpo8pW8qXbwtpZGOlCe0s3Q/9uWqDD4ctS5Ahch7xOr+v3SMkY1WPRmGA+yveoOB9lKKXGxm4Lx16BFgQVcMWyXlOCydjpuiBF0KL+j1QSmYH+/X2LtttIjiXPK6WUX0RGoS+eLuCfSqm1IjIB+Fwp9TZaJHpJRDaj79zc4Oy7VkReB9ahq/+NVEoFAMId0znlWOBVEZmIviv1grP9sM4hIt2BW4A1IrLaOcY4pdR7v/c7MRjKIiKXod3LXcA/lFJZZd5PBu5A2+jPwO1Kqa9qvKNHSL/4041YdRxQxfF6Krpiymyt8fO1UuqqWuu0wXCUSRziPRU9ecwLyXN1GtB9xUvJO0OaBr1dkjiK4hVwE3ApOlywnGekwxL0NeM89FyoDyLRyg1+F298/q/kkmS+XQdlN0Iv2FqEPIf+3RItPJwU7kRdB2X/quAnLIpdkXJSIFoA7st7qlLvs1LhCAnDfYKe4Geh70hfu+oZT6nys4lDvL3RYVqjc2ckhxNJAFjxYrLd5VbvNOApsfmfcvFDJf04HkkAVm8ZmGa3mjV5CDpvyIQvb0r9MNhg1RUTf0t478G1HGXBIHNt39PQ3nEfohcz4ViKDh+5CPioz8d/qx8RyaX7CyIhYP207Z7RvYINW07PjkKLBmXtMfT5HOc5gvIUtJz+2PcIBeKu1zSy+f4zRdQDIiVCX0WUSiMSNyejG9qbrQlwY/6A9FdCG8fNyWgIZKBzKJUVWMvyJNob6HLndZ0RDAjxAoyd7GuF9gpaSfnF+gogLcbrbbgluZw3VLWQONgraOG8mNIVR0vYcn9yccxj3qVoWwxytwRE+SPEJX7X1VtuGBcAXVUS7ckUbkwMPic4zw0pjz9udsaPKHZSZEUSFRVj7Xd9jF1SPKwiSnm7xGX6TkLnJeqJFkPuy0/zlPV4n4i237TKDrzVk5zT2ufNAYYrFILUJVuMARoBeU6eq1noIiu9cy+bFGpzwfzVSRzdHGd3oq+bg2cmvrCjgjZLgIHovm8G+rksFamUAPxzXb9H3gRoP+8RQX+2isbEFs4xuqFtthzt5z2yA9RPIsofHeFuUT+quBBI/qTnY3a49g6lbLHbwrEW2svqYeAL4NplvaaU/Q77oQX/u5b3ztpT0YGX984q7rog5e/AFKXYLEJVBN0qUR2eVziCz3tltj0U8vd+dNxxuH0z0S63hzyms30rlK+wcrjnUEotpYqlIQ2G34OIuND5QXqhVejPRORtpdS6kGZ5QGelVIGI3I0OVxlY87011HWqMF5fWuOdqgM8OG8Nr6z4hoBSuEQY1OVMJvY7t7a7Zagaod4FHuAq4G8rXkrOLdNuC7ADPSl+nqNA/Ehfc/Sd0hVUHKoEB8NjLkZfP0aA2q0UTUTPkUr6t/yV0XuAPZTOE1KOroOyI9DVu05VcJrtJlFZJAEdBNpKABFbgS3gIi9+pC8H7f3+NrAhb3qppO0lfycM9zVCh3YNQAsGt696plQOLxKHeF1o4fxLDubuqowXgUkS4CzlIr8K7Y8LYl7LdKEFyedazZrcAb1YXwxMCNN8BXBtwnsPyqorJh6t8Jhp6Lvmd6d1eCfsOdZcNf63c99+eCUH814NFKHp7l8bgk3L0LbbRo4+gC5A8HVlJ205PdtCeyXoxZtlt8el/oJwPtASWyIARGxEeBRkxDlvjn8LbY9L11/zcNkwRAXgJFYfhfZK2Ab0yR+QHk6IHoMW2a52cl9VSP6A9G/i5mTMQS/qbHRS47pCPPAVir1oj0cBrt+UWk5cyUHnUe7EwZx81c0goDdwT+7M5IpClUD/XibHPOY9qfFWsYABRU3tHeLmRHQRgbVQkrPsJ+fx3wqPRomYeSpwKn5ast/1F2zpDMRhqdNxKxAFNhcK/HLOQ7730bb4/voJnp0VHFbiMn0XoMNNTwZuz0/zlAu7jPF6E9DOFllbkpMr/d04PI7wKhZg11kvwDS02HdH7mWTyv5+16ALLXRBi4LVzuDcoS3QN2I+QoeKVkQw7PNitHg1wlb8WlAccQJa+HoTwAkN/M15bAx3oCDt5z0SibaXFqBauC07SUR1ATqAnGMrUIgCxIJ1Fy26fxnOdXpJz8cqmgNIt4Vjmzmf5Up0OPTdy3pNKVWRq+uClEj0+nQd+pp+KP4BPKyghRwszPK7qRbxymAwVEoisNkRXhGRV9FJgEvEK6VUaFx7DnBzjfbQYDAcMQ/OW8PLOQfnlAGlSl4bAeu4QE+KA7iBKegJ5RNlG61+0qM6jvKt4OhWMnoUfTf5zrzpngrvmK583rO90zDfJuCiTsN8c4ErQV4V1CB0SMxhU9jcagT8Be1B0ge9eAftafFPq1gVYJMpShUpJV6E3ugJfBawKX6kLygeLA9OLpXQAi2yxKG9NbyrnilXmRB0Dq3zgIG5M5IrzLMXZMWLyfu63Op9TmwewFZ1ptIg+nuqrxTr0ELfb8CNX96UGs7LLQedHywWql/Ay1zbty9acExL6/DO5kM0XwJ4zn374fqnNWEEsLbgQERbCzmx9TRv4633JR+WB4h1wgE32h4uR3vjBQfSb4GZSrHAsuxXLQtLKZ5He0oOR4fZ7jznzfHvoW3xg/XXPOx4BygXWvS8Gfg/4NaySdgB4uZknI4Wr17LH5Be1Srkj6NvOBYeSuw6zggma38UnZi+/6ZUTzgvt6DQn8RREK8SB3tPQH/HueiQ6spY4jxfiP49RRw4Qf0P7Y2VgCNeVZW4TJ9Aw7M4aIs90ILuPmAR8IE/2r7WfUAuUS6WS4D16OTc1wP+cx7yfYIjHqyf4NmGI6Ra+7kNLQ5/D3TLT/OUCweM8XoFXQThF/Q4WxXmovjZdnGSy65TXoDxQLGtOAl4BC20lBNQFl+S7b/4o9Gfc3S9UqehQ9+Hz0x8obLfez46tO+iv/7nnmXARUUB18si3KxUiVfjYdGsQWETtC1fhr5On4i2qVzgGX9AcFn2w0pJgRL1hMAV6DC/xy5adP96tC2+pdu7nb6rs9Gh6GcCI4BnlvWaEu5z3YUu1HLl8t5Zh7zuLu+d9WvXBSkzgbuV4ojyGobDiFcGw9HndOCbkNffUvniZyi6qoPBYDgOeGXFNxVuN+LVcUECii9Fhwt+C9wekueqLDnA5R1H+ZqsftJTrXe140f6LgRuB6bkTfdU6gngsBi9YB6Onry+gjAIRbsLbvPKZ/+q8DMA0HGUL+gpcbnzSER7T/yKDi1+H1iw+knPjwCdh3rHKEBZEukuVO2sAM8qoaHt5lxlEa+EvyHcD+y2LVaJAtvNOLTXV69Vz5RKPlxC4hBvA3RYzAq0YHNIOg3ztcBNM5cf2/LXKU+XBABly1/RXiK9vrwptaKwyGAYaxeqWbzKXNu3IdoDbi164XMoFgMPNIzaPwRdpXaUsmQCcAI6T80nhzpA61cmBQWCy9FeFQ3RIWL/QYtJHwBrtw4ap1rNmtzGDliWUvyglPzFVtY0UO8ItENUPHCV6PDb4nZzx68GqyXQ1jlmOjCpTL6iUCagw+orSwBfQuzsiVEgfwLlh7oTwhqb5WsIxKHIQ4uCT2xK9YQtbrUlOfmXGK93M0dP2J+CtqVeuTOTD1UsYyWwF8XFQF9gUSBSNlqKi0ToROWeMgDEZfoaoW0wKFid5by1Fn1j4wNgaTC8r/UT2SNUBFuVXyX5G/AeQrr4OVMCnC8BEkQxDZjWdoJ3q0SyB0CQp9F5Fgflp3kqCju7Ei1UjNqSnFyl643rgCQFXEphURgQVWFY13FIglJsBHkR7Z00IiTPVVlygPsu/mh01OJLsg95M+RwGJw79Ep0pFf6zMQXKvVmdvJeLQYuVopfRSjaWxz1piXq5oCSP1XlfN0WjnWhr81BW+yM9oD8GX2N/gBYsKzXlF8ALnh/3ARlY7usQP1i22qllDVdUI0tUecKKgHhASAF2GkR+MLGQvSY9wtw4bJeU5aH60fXBSlN0eGEi6jiGrXbwrFnom/G2Up7w1ULRrwyGI4+4cJTww64InIzemC6sIL370THWXPWWWeFa2IwGGqYgAo/f6pou+EYQxEPRKFzPnVb8VJyOW+MEFagx/QL0HmAqoX4kb4odL6TLwkfIhaOJejrwZ3A/yFsVAKWohFwNjosqhQdR/lOQofeBL2rgndtP0Pn+Hkf+LyCaoptgB1SrNxWgH5AP1HgKn8/tYmCiwMRKBQHEBJWPXMw+XAYktGeM9fnzqhccOs0zNcKLWTcLopIUQiB6rujewwQrxTFKP4KPPLlTamLKmm7Hp0MPYkqLMgPk/HoBXv3tA7vHCoROuiQkECU238X2iPlJSx1D1pw6EQY8ar1K5OiOOjpdzk61xXAV8DLaFtcvHXQuHAL8DYgFBe7dovF2SI8DaInVjqfTHCSFYH+raLFJemfPyC9whxWcXMyzkMnavfmD0ivNF9O7OyJDYBhwP2gTndmeuFyIx2vnI8e6/6KHh/CVZoMJQfoGeP1SrhqeEdK4mDvX9D5/abmzkz+4lDtg3mv3Pvoi7bhZJB4/IJyq7DeLtq7ij9x0Ba7o9fIe9Dj/ERgfn6ap1zYXusnsgWICbjVCiLkDLF0mhoVoR9lm2ODVYStLPW62HJzflr43IExXq8bHUqdj1PVuSJis3yCFjbGAd2xCGDhIrLy8NzjhaT5qaL0ddqPrjB7aZk8V2XJQdtrRw7mwPrdDM4d2gAt6q9HeyNWhSVoj+ghwOyigPsrEQVYp7Sf98iJ6/o98kvZHbotHHsq+vp8Ofp63QwdkpyDrkL8AbAqWP2vDDFK8a0/YJ2AyEBgoEIIOONiyOqzGXARqGDIYsKyXlN+rORzpKLH8/uX986q9PfdbeHYWHSO8lsBl45gVNV2k8mIV4ZjipVf7SRn6w6SWjen09nNars71cW3aFfMIGegq1iVQkQuRcdxX6iUCnunQCn1HM5FrHPnzmZlbDAcA7hEwgpVLjFpFY91Eod4myJ6QQHcu+Kl5IpKSgcJhsd0oRrFK/Sd0LbAZXnTKyyxXpYlznMzdG6knSG3SjoB2zqO8gXv2l6GngiH3rX9gIPeVeUm0GGIURYFlp8zAxZrXTZ9gAgFUbabCxEGKJ3bw41inQRUnFVEE5etkoA54Q7oJMsfC7yROyO5wpwYnYb5OqC/o0Ho5OAzJEAPtHfSu1Xo+3GBUvwFcIMs4hDVHFddMTGQ8N6DuVSzt0vm2r4JwN+AZ9M6vFOlPCVrrhq/5/z/e3B1pCsQDzw3/8LHfzt786O/KFRLQToF27V+ZVJrDtriJehKmEXoULPn0fa4ceugcYea38SAwrYlzkIJQgex2AtE2jZxSsn1KK4CmiHqZ8CPkhaWxYC4ORnzKgntm4quHlYuF2+Q2NkTmwEj0d9Rc+BjhHdFuJNqzOtS6ygSnfHEDwzclOo5lIi5Ah2SeQalow2OmMTB3ij0nPcrtKBaNRRLIvdwmUL9IMjbQEvlF8St4mNenWRtuWGcHZfpa4IujBH0aAlWHfovOlTvfWB5ftohP3cLFNHYcg4R1FMwRuA1IAJFcxT9UPRHj+8HQG0OREkH3OoSRDVF51EMxx3o8a3fluTksAJ9bJbPBVyLFq06At8oURMQHkKxH+HnKn5jxzqni3CSrX+1t+VeNulQyb+DglUXqlG8Qtvg2cBfZia+UBVRH2BJpBVAhIY412nLUvoqpj1tF3RbONaNvgkRFE+D+b1+wMmdBny4rNeUCguZhNDGEmyFNESxQoT+aBE/Gn19vg5908AFao1t00EhJ1q60vgH4Q7YdUFKS7T35YvLe2etDtcGoNvCseejRa7rgCKleA4tfp8FUm1VcY14ZThmWPnVTm76Rw5FfptIt8WsO5LqioD1GRArIq3QZXpvAG4MbSB60HgWuEwp9VPNd7F2mJe3nanzN/LdrkJOaxrNmD5tTdVCw3HHoC5nlsp5FbrdcGzjj+TCyD3KdhWp/SgGd7/2sRuAAxU9GsL+ogayQw4Ebu150aRCtJdJgfMc+ii7rXjRkvAL8viRvrboxccredM98zve44vCSZzOwcpspZ+VOpUoznQVKhDxA1eg2I2AAltZjOw40nsTcCEiJ3Dwru3D6InwqtVPVpxTKxwK4hBOQdghsMsfJS50SfLb0R4OO9AhNS+sfN6zLvHW7I8REoAXkm7KzsuZNXpLmMOOR3u9pYQ7Z6dhvguc76af851OA7yuInUijheyHIV8T7XBnxeMtdw0bFe0NxKUnAKyrOXzU/dTiT1GRkc3jFD+ju0ysh/Cb+2gchsMvi7cMD5s3jEy1/Z1ocWCn4GUpzZe7EILNOHtEE4Bdaqgzux+Uoum3+5rHvh24ylt45b5+nEyu3Cp/dhc1PqVzH8APUBinVNtRYfpvg8s2Tpo3OHelW8jlgoAxSD1bJt92HIJOu1Cd7Tg8jbwD5QsEFEjEaaBuhEt+pYruBA3J6MP2svBkz8gvVyS7djZE09BF3QYga4M9i4wWSy1nIPFEMoWeThusV12L9cBAWSnwGttM3xBuwtrky6hacCtEAtv3CTff6jcBkte54+rtGrpA2gB5wplUXDBbd4maNur2B5t+4zGkZxClG1zqt9tJxTeLd829hOwELEbyvcRz8ZmejsAiYK4gN3o8L33gQ/y0yqs8FoRMQRA4BQlgOI3CRCDFp/6o3MjrULbzSt2pDRCFyw4AXix9RPZf9167+hSY3GM19sYPTZ+grbjUsRm+SLRQuFYdF6vfLTH4L9VBJlo/5oNWz3V5wFXm0RY/p4FRRHKr6y9IKPOfyd9GOVtMMQu6x+o5y7ec6DYdUeb1ye6OfT1uQDYt/n6BysUpAbnDo1HC9bPz0x8Yekdnw8JrZxawbNq0bYJZ/xU2EAV+yP8X+484VqXpd6sF6m1yAiXP/nPC8aOAnqI0AQtaX2Kvua9D/y3Au+qSlBtRGgM/AqyE1QU+hp9G9rD+Ue0OPvC8t5T8hM/SF2JtqGXk+andszpMzmcl3TQph4Md8ZuC8d2Q4tWV6K9FR8FHldIDFroh0MUjDkcjHhlOGbI2bqDIr+NraDYb5OzdUedEK+UUn4RGYXOIeIC/qmUWisiE4DPlVJvo+/2NQRmi/bW+FopdVWtdboGmJe3ndS5aygs1vOW7bsKSZ2ri4YYActwPBHMa2WqDR5/FNeXO1HKqreTzyzFPrSQEoUej6NCHvWAKAX1Ivap6L2nuZq7/Co7+tdDpV8pIdDzokmlJssK9tkRElmvqevMwlMiLKBzx3t8v6I9qcKxG6V+Ej+RrmLVwgoQKcUUCMr2R8vdwH0KFLaysbgYJbiKwSq2D7iK+VUUTdCL8wuAXV1vzN4JhD52hXldsPzfo1Xnod4oZXEGOjZrl9IhNtucfi1EJ2N/e+XzIVXIRPJQ6gIFfoHZSTdl/zln1uj9wbcTh3g7oBd4f8+dkVySELzTMJ+g87yMQ3tG7EKHUv595fPaQyxxsDcdhV+BJUe3HHqNYVn2RSc02dd4R5Fre/GBiG0ctL0mlLZF56HqFRVGNHA3CAQiW+0bX7SpIVUsoq3aPewLLt5KFnFKsN3RPc4a2nfhaZEu/zZLWI8OpXWFOcZ+UD9GEChuaB04uZ5V3Lj9KT8UnOreU3/EhtvO3UOjN60DUhTV4IDbbdmNC5QMRQQRO4CwWwQ/2guwDXBzm9cnVmSDodt+23z9g3ohJ6qTWLjQSYa7AP9D/2bz0YLHi1sGppWEwLR5fWIw3GwV8Pe4ORm5+QPSS0LQ4uZkuNC5vbagvSNKiJ098Wx0CNJQdKLu2UDWpuseXA0Q90ZGH6C10/xQie2PC1o/ke0iip4qQJHl5wsO2l199PhU3h4VDSyFXdzYHhCxSwaIXTXP47hJvgOUERKUqP12hGreuL6KcRdaOxCeRgsC9cIcQlcNLA785tpd2MTaVXBKVKHf34CG7r3d7aK9MC26WaFd8Es04rf8csC6Q7lARShst71HufkVIQadI+2Klk89dig73Ans2jbifq1AKNqKX0CPQ62wyUSHY+9GJxR/YfOY5FUl3+00727nGOvQybTvp3wI2gPoGxh9Q0MwY7N89dFj5hi0h1se2svlzU0pnkCM1xuNFioK0L/fOkG9iOKhCmTPgagcdB680Ot0PcqPjdH7/e56TeoVnhsIuLILiyKrdJ42r0/0U07cUvtEVNRpjZqeHdN8hy1w0R2fD9mJzuUUjl2gfrZQUS5RLcRSES0b7izc748o+nJn83sDNqNFoJ67yB/htvsA2EpQNgdsJTtAmqG9r5KAXRe8P66ya3RwW+Fnl09SF7w/rqklKnizai+oLugxzUaLYSOBd5f3zgrx5JPVoFopRZQIrybNT70op8/kkmTsXRekXIB2uMhc3jurRNjqtnCsoOcT49BFDH5Bi1vTl/WassvZNxvtWRtAFyaoFox4ZThmSGrdnEi3RbHfJsJtkdS6eW13qdpQSr0HvFdm20Mhf19a452qZabO31giXAUpLA4wdf5GI14Zjhvm5W1n/P+tZWeBngs0jY7gkas6VIsNG8/Eo8u5yT5BSCpuYGFHcd3qJz2Vhli0T/M1B1agaOTarzbtaRnRteBU9/Dm6w4sARqgF3YNyjzKbqtvu+SUQD2rrR1pxWFJPVEKsdVm5ZL/osMEfiz7XP9Hv7gPMBK42znOW8Dk4gaWTtiu1KmIXOcuUI+6iqhvu7CtIvWNK8BM0e2bOY+m6DD285zXjQ/xNRV3vTF7pyUU2A1EELAtYkShJKA+UC4ZsfJ5z7YK9v0CkWhEJaN4Gn23d2TI+4+i79JmAHQa5rPQd27HoSfuP6IXcc+sfN5TkvcocbC3Cdrr4GsBa8VLh65OeDwgcENERIDGJ+57dOUVmeWqXYbS/9MRArwA3PbD3oavFvojb3Z1/vW1wrxmaQSsaA5hg8G/FTRVbmJtN7FYNAvgpqAo6ueoaP//CGOHwA/NXXt3/inyu34ijEWLT+uBURbqG2Cx94qXbr3uFQ8JLbdNi2p24PT9dmR03rYzDlhu+zmx2Ie2waA9ngDEhGwLJ5QFsdu8PnG3UuwS4QxQWJbq4nLZtt/v+k0prgFZtGVgWjhvky8AlOI90RUwX4+bk9E5f0B60K6GoAXZ6/IHpBcBxM6eeA7as+UmtNfBTODRTdc9WNaDYARaqGhCNXoX1DJ/RogM1FOrN3mS+x2qcau/Z18NvKlELcAiqfiEwA7XPut6V6FVwCFskBJbVA3sSNXKjlRtVASnIli2Wx0AtQ7kKyqwxyazVrQXv52CzhG0G+0lMo2EDusaLrXe2Xtp4ImIn6zxjbZYVwbqu+vtPymAXc9+FyUrOWiHwcc5IX+HE8pKaPnUY/uAnWLTyAoI2LSSAMXKRVPlIkUUf988JrlcCPjW+5JV62ne1c7nng1Mav1E9qdb7x29FCDG6z0DGA38e0uyDmOPzfI1RdvZ39CC8n/Q+dbmb0op5UV5vdK/KZs6Yot9Pv6bSyC+nttPhMu+avEl2fsra3/10lGnAp8pBXuKI79v3mhfx2L//qE/7m6cQxWuzwf/VqdalooToZ0IUfuKIwE2irCGCq7TDd37I9yi7kX/b+oBbwCTA0qGN4ws6ofO1TfwlPq/PVpsu6L2+91qb1HkFpcwS4RGHLxGN0OHJ3Z0/m50iK+pSItcqkjExhIsQZ2BiARs600R7g0VnsqwGuR2UCPQwv1EHE/orgtSBC3q/4QumkC3hWMt4Br0dToBHVH0N+Afy3pNKfGg7bog5WS0sLod2Lu8d9ZhepBVjBGvDMcMnc5uxqw7kupizitDGL7bFb7wREXbK8Is8A21xby87YyZ8wXFgYNzx12FxYyZrW/o/x47NJ6JNUI8wgmiv+JyYUKhtE/zRaInomcgXIzIf4EFgWiZ/lOn6KvXZHsqrb7Tvf9jTdATucHosCYFfOgqCJwYUaTOqLczcN5Hi1LKDX49rp7aGj2RvB09Z3sFyPrkrTH/A+h6Y3YiEB1RSOTyfyc/13VQ9hOAiGIebrk64KYbcOVn/wov8HS9MduFXnSHLuCalntt0RcLgM8E8gUGWcVcLsVqZJdbvGNXvJQcbmK6GkC55Ffxq2xgdNJN2R/nzBr9euIQ76Vor4MxgQjZ3WmYbxA67OBctEfXCOBfK5/3hFuo3IJeYBQSJn/k8UiPRWMEuDJgWyikKp8pGR0GkrGs96MPJbz34CZxMb5+550/A/euumJiheFCbab4XOhKaoOBq9C5UDY2aFbw0UmtdvRftifmxvfjp5XL57bum9MboEM170eHn6xEh0XNa3/mdnvjN6edAVDP7T87f5znGc/qG2795UCDUy2lvlZ+lx3wu24Eum8bMnZD2H69PlHQnhThbPDgNkW82223slyqQCketCy8LpdqoWAiqC+gfJ6fzdc/uKvN6xO/AmnjJE/+CHg2bk7GTWhbygCWA2/Ezp7YCb0wuwYdivQkkL3pugfLLf7i3sg4C13R7hO0t2Cd8LwC+qNQ2IcOyW319+zzgVnA56LkGiWqI7Aw0NCeEWhoX7ht2JhK8/S0fOaxdmhbfKyKzQAAIABJREFUvBqdd2qXVaRePm1R0aB6v6h/frjswRFl9+llXRdMUD4dPZ7+jB4/nl5oz94N0KfzI18Crb7om7E24S7f60TSPwDg4l3cXAnqrW3DxjxcYb+eeqwe4cbC0NeK08SWAe4iwRYeVC6VjCLadpOqdK6lJRUc/guQu1DqMie0+tXWT2R33Hrv6F/Q4oEAabFZvpPRwsBI9I2G94HJm1I8/6nguCOALY4nWZ0Qr4DuIjRUiqIqCFfR6Bs7zUToDvKlCB9FRgSeO/PEnZcvviR7SWX7t5s7oRk6tctgtEdnAJh/QoN9LRtEHWi0vaDpufMvfLxc/rH7vxgYhw7JvwX9v3sZmPLY+a9tAPCsvuFL4KQrWq/bv21f8+eU4sli5cYSZtvKNcDWyej7f9E3w1/22AAXvD/OTenrdEV22S/KZWMrPkbkV1B/DcA1Ssl/k+anjs/pM7liYR/5SlDPAWOT5qd+ktNn8nvo60MP4G5L1P5uC8cORs9H2qHHujuAl5f1mhJufnE72lNVUc22aMQrwzFFp7ObGdHqD0LT+hEl3iqhnNY0usrHMAt8Q20ydf7GUsJVkGJb/W4PQuOZWCP0R6HEZt/qJz1hJ40A7dN8gr4jeSFw87pMz3KAc0f7rkQvgueeO9p32Zpsz8eh+3Xv/1ioSHAt+k7sBvQi6+XIXf7G6NLrD5cVrnpcPbVcgnLg0U/eGlM2b1QwZK5V1xuzfwGiBBCb5ehJ/Ezg5Qtu897w2b/Kl5hf/u/RAeBX5/H/7J15eBRV9v4/tzoLCSDghohIEiAgikEUicYF0ExcUJSI6CAKMqAwqHQWQoAAkmAMSbpRGGVEvqDIIAQQBNQYBXVYBwUCisqWoMIoqGxK1q77++NUhyydBQgO+Ov3efJ00lV1q9J96ta9733PezyiyzDn/cBTSHnyFqD/gaI/in+hiQNadRvgGLhxbkzlicUOxHuos/U/RwCvd+ufmYuvytCQb/rwu/WZtLH2HwAs+GKm3aNB8Y1POBQwHM0mBe3wUMXuPMX1SnF5qWlALURq9Lrh9yFWA1nAROvtZGRyG4tUjhpb+bi2aU43STAAiyRA4uqNy9od3NT44hNfIoRjhQqHO75vWdWgXIiznI6t9pfvAA8gKSLB1t+BpjaUUhxAqk6tAT4MmpN2c/7AhCpE0O6Hx2lEiXccPFdJC3oz7SLgG+VbutfmUxqilN4MoAxznjZtDwHrQxcn370zOsnTZGkr0HnnQ0mfhi5KTkIUOp8CLYAWWpMM6gMkFcat4Hl5V99xNSkyh1qvB4Efd0Yn1VQB7byAVT2vD5pShapRjRo8LfMyYDkSS73znoktANYHzUzvjXiCfRA0M/2O/CHxFSpGBs3I8EQSfIB4ii1vs6BoPDJHdZQ/LtLoa0MI00Qsg3LgGeD/csysyiqnPEQZAhCohXzH7xfjqcIrXDOBGUEz03/JHxK/xNP/lj88rhBR1PxY3f8fMtWxCEWJRmNo1dBEbcalL0UMsrNDpjqe2Dsy5m0Ph24FAkA1B90X8SOcG+LIHKtQj6OZYZSoGETB448UvEjdNdq+pbpraeNw3IAU53gN6U//NESq1rgkpa569F4zQiFpml2BPstumb4VoMeq2LuQ+3x5j1Wxd6zumVnBl67Dkkk+iGrPTaD6IWnIccC81hf92grxsoutTFzF5fZzP9v6In5b/wQyMsIW7Kt0ee7ndBDwvbvT9PNxrUIIzn8AM8NWJD2Z2yu5yqBy090vlCKektV+Bl3fH9Mf1FANe2wGzU30QlAPKliohVi7Mjw78akNUamVn63u9OnOSB/fDZgbnj36BqWYAvpbJfG8G/G23Ibcu4vWRqZ59E246cPRNuBpYDXy3PdYsOV0YdRnY1544YUXdUH/mes9Ele+NkV8VPs6t1PTBN8LL842alIJnqqCsK7Hn2m7Xgg6xTgVQl79pGoYEFoYifjdTN4x2T7P/eb2TPsRZNCbByzvFOvsCnBLdMZVt0RnvIhUyMpG/CtmI6lwHdcsjntxzeK4HxCioYByHju39U7velvv9HeQwXMfxKA85LNl8U95IK6g4qA4sNz7P22aHfOmdY6HgOldBzlOufxll2HOxsjA+kuEILlC2/AHMH14B0nr6wdkdxvguLD8sf95I6YISSkL2zAvtsTar0Qb5ABh2kYTlJIqiaJy6fTFTPtb1RFXFm5HUnveQFab/yzqgmitMS3yqloiMXrd8GuBfyHeTQMX3/yKCWApreKRieuYLu+NGw3QNs15Yds057C2ac6NyHcRj0ycHwZa7E6wD9+dYN/Y+OIT9yCfa8b7t72kAXZ837L5ju9buuPYrUyK6Nhqf/eOrfZ/WIm4on2rA6a1b5D1VkOXVgbwU/7AhN3IfdAEIbBO1xciHWhqmupxoAhUNPCdoTCQSlpNgHWhi5PDPRy7FQhtuzAlEHgRyNaal7QmUWt+AfUKMoEbDVy5q++4pJqIq9DFyX4IubACIcD+LLHYFWiFiQ81EKnB0zIbAEsRQvO+vGdiyzxt8ofEf4xM6K8DlgfNTA8MmpHhEzQj496gGRlZCCH0CtJnxQFX5D8d1yv/6bisdnMLfZH06Hdy1o7bDRBp9PWLNPo+icTwAuu4QUDbHDNrugfiCkTB2TrqhokG0NAyUzeNEvWjdW0bgflBM9N7nM6HFDLVcR8QjUGyQn0I9EfzlUK1xeQWhJCaHzLVMSpkapW+112xrfPeZ2O3ACPR3AUsRVOsShhifQbzgat2jbY/XBNxZWEY4tWUb/193sdj1KcjDaCPhoOgaqu0Nw4hVRKX3TJ9qfvN1T0zDyHeiQeBD3qsir0WoMOSSZ06LJmUgVSEX4H0HzOQSr3XftNnfOY3fcb/iPSZx4DX3W3G5faLiMvttxLxHLsbSakLyghb8IwH4gpOfidBQEN90pvwp9xeya8gixADrXZOGV3fH3Mh4AQ2KknH74B4g+Fjc81GzP8HAcvDsxMrpCD+564XjiLjiLANUakFyL3hhyzMhSporhQvI59TL6Dz2si0BdURVxbuRtIes6y26jUWveSVF1548Ydi3NLtrN3j+RnU0M/nlFQl3gm+F/9L1KQSbBLgS8SLqwgevZKIF1exdMv+emn7VJSJXtSIq4D2SnOIGiZoHcc670U8H5YA4ytv355pPwREavTPaL36poem5AE70DoOmaD0BVqsWRw3fM3iuI1rFsdpgJ53vNgC8W2aXdrI9sttvdN73NY7PQdZ4e2OGJRf+dmy+NjPlsXXFDzugXIwEMhJOuEngE2zYxzIgPhpTqp0TgXJiEpnKPAOcByDCECjuGbj3Jh0RB0WDqzpNsDRutLxWxFCgA3zYr8z4Wlto4UGTMVRrRgC3PjFTPvSL2bWqfrhcOAwGnep9PN+gmalDEZr+MYyXPcYj9HrhjdHVC7HgN6Lb36lwoTdIrCGI+RW6lWzXvhWo90kQQBCZF6xO8Hea3eCPWt3QoWUzDhExbJwx/ctW+/4vuV0ZMIVjyhoOndstf++jq32r6vl38mngvJK+WLFYv7AhC1IGkoIsDJoTlrDWtqqgKA307ojE7DMvf3HrEWqsD2iNV8B1+yMTtoA3ISoplaHLk6u7NWUi8x7rtn5UJIJDFBKu5DJVQBC0rbd1Xdc2q6+447V4ZL6IKbaryAqwPM+Fi30QVOKzLA9DtaCp2W6Pde6AQPynomtQqzkD4lfDgwAfZsqZRumPoiQBN0RkqALEJb/dFxm/tNx5dVNTyLEdHqk0Tcw0uj7LGI6PQv4DelTO+aYWXNyzKxqq8MhE3JfJMU10Jrx/rLjBbsrf0j878hEfBewLGhmepdqW/GAkKmORki8fIU8H+YCV6IpAQJ9ClRTRMG3AOl/p4dMdZT3c/saIRfCrL9nqFI+V5qWlOKntPoEky67Rtuf3DXaXutqbBuHoxliqv0WilbA4b32mNoWZc4HdAVamlodoQZSv/eaEX2RZ+abVDW/Z3XPzAPAnaBPaM2/O74zYR+wDfRzCCn/INDymz7jn/umz/jN3/QZrwGiPh0Zgij9ZnRq+t/jcbn9ouJy+32KqEhvRAizKzPCFiRmhC34qfJ5y6FMIQ0E6krPaeva/wHEh61Iiq/lM/GEdMTrbKhSLASKlRTEQCmu3hCVOhFJ8bsT+Cw8O/HySsfn4n5OR6XuAtOulG4lGX/8jKh1b1kbmbZybWRaXSpYDkcM2t3/t5e88sILL85fzN/4fbXbjhbUtOBeEUu37MdQnoUE3gn+uYWlW/afEZFzriI+qj2+tqoxaAC/F5ey/0gBmpPprKfyf8dHtSfAt6J3cYCv7ZSUiV7UiGhAKxcFVDMo7jjWeQ2y8p0LPL5jclVypW26wyi4TN9SdDGGy18btiId5PdLIQHf/X644d7jZsO9x9s33Hv81qjrJjSpdOgzGnxKA4ytSGnsVYhh9CiEtJrw2bL4Wicf6/8V+xvi9xKMePe4UX4gnYikU4zvOsjxTG1tutFlmPMGJCVnxuZX7es3v2o/ASxGqQc17AWuBtg4N+ZtZKLWAtjQbYCj/EQwF7j8xicclwCYDVSkK8DwcfmyH191JTZmah++7DLMOaHLMOdVNV3PjU84LkcmGf+nJH0B/hypMVcD7Vym4a4OViUeo9cNb4AQqJcgxJXHzuTG5vuuvuHSfc1aBB7FLDRCdKDpW3phSWHppcXHSpsXtyxtXnxb0Jy01kFz0so6rrs/e64rcHvHgAPzMoMXzUQ+06GIb0uHjq32P9qx1f5cT+fzAKm4BmhNoOYkeQWQPzDhU0Qd0RVYHDQnrU5lwILeTGuApOTkIRM9rOu7BFGbdOi4dKLPzuik3QiBlQssCV2cPKJcM2VqFwCldAsgUCn9G6hSJDUyr11WymvtslLubJeVUpu1ivgLyeT3Mv4EsWilDEYD61UNRCriCfZXYGzeM7Ee0+6C56VeqAJLu+BnlholulnAQZpd8rnWV76vD7VeqRu3XqlvbL1Sh91+X3rZ5xwZkeID2CkpXc/63J4IGfoS8r3fDVyfY2YtyjGz6lLmtSJhIDPeMpLM8uKKsv7HD4JmprerQ5tuJCOFL4buHRlTjKRo/6Y07gf01XtHxhQhn1E6EiuLQ6Y6AgH2PhdTjKRJdwYwipRhFKq2xgmlVDHfKxd3KpPNoSnO90JTnANDU5zVVbZzYyCSlv4qQqSe97FoIRooMbVyUU0s9l4z4gZEibsWGLrslulVyJVHNwy1XRZ4/NaLGpxQ/kapoeFKHx8X/n6lvzTwL1EN/Es6NPAviei8MqmyMbodtKtd40O7kMqmHyApmSMRpdXkjLAFR+rwfxxEVNYSi+WUVwBWquCzCNk5JWxF0sA6tAlA1/fH3I4Qvpmb7n5h2yd3ZBwBlit4EFm8uAZgQ1TqLISwbQusD89OvLpcM1uBdjd+MKYhgM3Qf7EZ2qbQ3ynxT5sLbI3ISRgbkZNQ431y04ej2yB+dK9xlqqw1gt5pZS6Syn1rVJqt1JqtIft/kqpBdb2jUqpoHLbEq33v1VKRdXWplIq2Gpjl9WmX32fwwsvvDhzVEdYuHT1pH1dSSe315WntrwT/HML7u/qTIic8m2dSyTYA9e1JP2hMJoF+pa91zTAlyaBvlW8sE41nfWB61qS2qcTLZsGoICWTQNI7dPJ63dVf4gG1ikxiK4yKO441nkponL5Dbh/x2T775X3aZvuuBPYBLytfThW0phHAvefuN73aMlww6VXIpOIFCAHOBx13YQdUddNmP2XLhOecxl6pCvQOI5NvYZMfIcBwZ8ti0//bFlFf5g6wE0YVFFeAWyaHaMRz6qlwMtdBzkera3BLsOcPsBMq53EcpvmIpWPDmORVwAb58Z8inhbFAOfdRvguMva5CYMwm58wtFMGzyB1qX4qLaIIuLvCPk2AdjRZZhzW5dhznFdhjk9DZD/hvjgzEAG4CZCop3viAZ0icv2PeL9U+H7tyoLvgbcDDy++OZXPq/cwNNfDAh6+osBbwJbDcVNVzQ6Mjrw0hOdzMauR/DVryJpdX9HJkf5wH+D5qQtC5qTNuYS8/i0gRevK3my+boEJJ1wOhDSsdX+IR1b7T/VFfM84OJvv7+8kUurCywlWQVFQv7AhKUIORYFzAmak1aXuUgiEAo8nf94gltx9gGS8nsFop5qA7AzOukQ0BO5f6eFLk5OD12cbFj/9zHKqV2s6xsKNEf8brIRJWEOcKBdVsqr7bJSerTLSqmwkhC6OLkTcCtCFrgnaH8G5VUnoC26zEuuSt8YPC0zGunX3gJSq2yflxoQPC81ASH24pSPftu/wOxx6RdEBf7EBGWyF7gPuY+3AEdvvy/9s9vvS08vNcyXze//25ovvgpDPMc+B27LMbNuyzGzPsgxs+qi+nAj33oNQtIGNapSLA6J3w9EIoHwYdDM9MqKlCoImeq4HiEaZuwdGbMO4JsJFrGvud3a7WqAvSNjzL0jY0YhiwD3A6tCpgqRjxCsEouagcqkqVKsNmT+egPi93UVknJ+MDTFuTw0xflYaIqzQoXYNg6HgTw/1u2JidmK9I3nfSxGfTrSTaR+DKoJHmKx95oRLREF5k+Iz1UF4/BHNwxVj24Yei/yHHrD1zB/bOJf+LC/n3mjj818RilygI5IHK8CjnZembS988qkWV3eG2O/wFYwtMMFB080sJXORDwF/waEZIQteCkjbEGVMUF1cHZ+WyPxGAQ09KC8IrdXsol4A+YAr4etSLq/tna7vj/Gn5Ok/vPlNs1FiP0fKfec3hCV+gGSeu8HrA3PTuzuPj1yD3SKyEm4DOijNUWGQRukf30OeS6lADsjchI2R+QkjI7ISXD3feXxFPJsnonE4gnqubDKGRu2K6VsiNQtEsmH3KSUeldrvaPcboOBw1rrtkqpRxAJZT+lVEdkBeZqZBDzkVIq1DqmujbTAKfW+m2l1Ayr7Vfr+RxeeOHFGaAmI3WbUtUSWHUlnTx5Xbnb9k7wzy3Ul/H4uWjO7650eeRECS3LVboMHr3S4/6nms76wHUtvbF8FtApxtkGmTTEIEqnCoPijmOd/ojK5TLgth2T7RXMpdumO65HPHPuRNL2Hgf+tWtMrIsxgPgRvQoQdd2EpojKpJv1c6/SDPytta+pDeUK+MUcYivljc+WxddddloV+UgKTkOxdUErkfqXYdPsmFKLtPoAeLPrIMfhTbNjPqihzecQVUDfza/aj5Z7/xPgBwyaYhJ8w2CH/+ezpJLhxrkxO7oNcNyEpJmt6DbA8RQGy6zjwjTcrW34oVm6eYa9EKnk9grwSpdhzhaIN9fDiKohucsw51aEbFnoc0J/h5AM2f95I2Z3twGOdsC+jXNjakobOl8QDawxteEPHPFQKTABSdtIWnzzKxWMb5/+YsAliDn7MGTCkA68+M8b5h6WpBG+QT5DLJXTtZyMxW7A/XpdQfEHCy72scWeeK1jjyNJHVvtr9GkuxbkW69BpjYaWb9XSafJH5gwK2hO2sXIffRL0Jy0Z/MHJngcGAS9mXYVQl79K//xhA/d73/94ITiq955/m1kQgmiMPgWYGd00onQxcl9gJeRlMhWhk0PNF0qF+jcYcmkcK25CfQJUIt29R1XgkyC322XlRKAKAf6Iff208BP7bJSFiGf5VplMAyJ3zkIUQZ/AsIAiUUTs8zEuYIKMHhaZhdkYrweGJL3TGzZdxY8L9UHSeuciMy33gMS8/onbgMggW3AhwC335euEMK9fCw+U9rMx+/Hv1zKBWuN7c0+/mnYRyULa/N5qgkVUqq1gcZTLA6J3xk0M/1uxFw6O2hm+m35Q+I9qnxCpjrcpP5BKpL6AHMVPKE1P6NE7eLG3pEx00OmOvYjKb3rQ6Y67kaxFXg8xOloZTN5UaHQWqfsTLJrpJLnF6EpztHI8+Nh66cXUBSa4nwfWAgsJ5BwZKHk+RCnwx9Rpb5xip/VuYgwhBhORSpKVojF3mtGBCL3bGPgL8tumX6w/PZHNwy9CeECbkWI1EeArIU3/9OtoN6EEPV0Xpl0IZIG6I7F3qa2PVlg+pg//N5Etww89oSfzTUvI2xBXRR/1aFskUmUV7owp/vUCgUecnslF4etSOqDFM1YELYiKSq3V3JNRUkSgfbAXZvufqF8Gvn7yOcVALS77eN447M70k2ADVGpm8OzE29C7s/s8OzEJ0BtsI4LAz0YsAFvrblzSilCPL0MvByRk3AFkrb7MPK9pEbkJHyO9ItZplY/ISqwpev/8uL+mz4c3Q7Yvf4vL54K6Vwr6qPa4I3Abq31XgCl1NvI6kV5Eqg3J70WFgHTlVLKev9trXURkKeU2m21h6c2lVJfIw+Jv1r7vGG1+2p9naPSdXvhhRengZoIi0e7teKtDVULCUW0ubDOE/X91ZAAptbeyf45hvryJTvXqu/VRKZd3jTAY4x601nPGUQDoFmCDMDKBsVWZcHXEBVRvx2T7Zvc29qmO9xKqocRxYcdeHV3fIynMtEAZG95/giykpoDEHXdBPXDnY2Xax91r1GiAksu8ElCJvwfncH/k4ek07nJgqNrs2KrVE/cNDumsOsgR2+EgFrcdZDjjk2zYzZU3q/LMGcQkpq1AlhcftvmV+1ml2HOf2lFrJIBbiiw3b1949yYA90GOG5DxmGvK5MrtWI/ipu1jftQCpRMGCq1+19gGjCty9OOIDRPIN9TKppUlw+/qFIuMkQ9BH+S1JjbPo5vh6hdRiK+YRUmaNHrhj+IxOh8RIkCwNNfDGiExF88ki46G5g44/q5Var4uZE/MKEYUbJ8jizeEvmRvfvRHwNWF+4tLf7nwI6DgH3QNz3HzKq2+mYtKEvVcqHcBQSq84KZgnhGxSBkQHLlHYLeTDMQZcFvyP9bGW8Bf9carRRXUy5ed0Ynuay0wX3IJLYF6G+Av5omGe7jdz6UVIE43tV3XAHi7/ZOu6zkhsj93g/4G4q/gz6mNQ3Qav6uvkm/hC5OdqsEPRVUON8QDfxb6TJPhjISJ3ha5uWImu0Q8GDeM7GFAMHzUhXS/7yATKQ3AI/m9U+sdtL96fJ4jagm9yKxze33pfvFxa86OmP/db47Lm/V7ee+rca3njVl2L7Bo6qt9lcTsj+fWBh1w8QDQLAGMFBUE4v5Q+I/D5qZ/gAyoV8eNDP9L/lD4j2ZwD+LmNA/vHdkTOV0sU+Qib4P5dQubuwdGfNOyFSHWxG4Ds1EFCiTMcrFxRp9SKEqVKzdOc6uER/E/4SmOEdp6I5iAEJiPYCihFKOY/AzBosQssfgT9A3YhGppmYlQhiWxWLvNSMMhAO4Drhv2S3T3R6IPLphaEckFnsj3/ffgZnzw1+rdoFo673JvyILOx8AdF6ZpAoKbKsPcsHtDQOKm/5a3HA80rf9+wz+nzxkXOFWXnm0Bcjtlfxb2Iqke61zLQ9bkXRbbq/kKmnbXd8f0wEhr+ZvuvuF7PLbPrkjo7j7x3ELFAzWorJqzcm+mQ1Rqfnh2YkRiBp7vkInaPEKvA3oZ939r1AJayPTfkCM4Z0ROQltOVlJOR1IV+hfNFwE6lXrkHaIL1y9oj7Iq5aIyaMbPyCspcd9tNalSqmjSHWKlkgnV/5Y9yzEU5sXAUe01qUe9q+vc3jhxf8XcKtGDhwp4PJyqpH6QE2ERcoDnQDxvnJpjU0pHu3Wquz9uly3pS6oAi85cO6hvoicc82cvyYyLT6qfQViC7zprOcYooHPbSUcQsqQl19lj0fUFhN3TLYvBGib7rgMMWsfgqTFpQAZu+NjjnKKyN7yvA6d7PQxfcHnd0b5/s5QIKdTnHMGMGp7hv1UUwbhpDHxFdQwKAbYNDvmaNdBjrsQf5CVXQc5bt00O6Zs0a7LMKdCiA0N/H3zq3ZPXe1cFKOs36+hHHkFsHFuzPFuAxy9ENJhPPADmh4uAxsu/YvhouENgx2DkVStKj+GGM9WgGlwkashpnLxa7cBDoUMiudV3u88RLT1ugS4h3KxGL1u+HUIObMRGLz45lf0018McFe4S0I+r6XAmBnXz/2a08AFgUUX+Xe3EXDVBR/9+uCx35FJ34ORRt+BOWbW6SzmlpFXpjYaWL97JgwGJuigOWnxwMXApKA5aYfyBybMqLTbk4hy4m/5jyccrNIIbAS1C/QVUFHtArAzOkkDU0IXJ38PzFGKdlqrhlrrCABl8GX7JZP6U10s2riUSnMlrbnAdCkXoswESY35787opAoqivMNIS9ntkdIl2c5eQ/+ChA8LTMQ8XVqAtyc90zsTwDB81JvR4jBbojKrw+wNK9/4ikrLUZMfVt39Cv0X9Lm+8IO7w8ej/SzX7WeNWUE8Pa+waNOR72RDwSh+BVVPXkFUiExaGZ6f0TRtDBoZvqD+UNOKmJDpjpaIwTrSoScr4BvJthdHZ53zkMTCzQJney07RxrrzBI2DsyZn3IVMdNiDJGCFTN49pEY6iPTB/6tE1zeoxFfGlOxYqyAL5GCU3RHN81LqYoxOloa73/Z1EBflZq2tyfYXlifyKi1I1ddsv0lQCPbhjaipNV+35H+sip88NfO+X7cuu9yTo0K9n3l+ONMfVvzzUOLBoJfNpjVexLwNjVPTM9EZu1IR9o4qtKLy6QLuXn6nbM7ZX8c9iKpCjkOZ0dtiLp5txeyWUp8l3fH+Mm9U/gmdQHUUgOs36/mnLkFcCGqNTD4dmJUcAbSpGmNQeQVG5l/d48Iifhb1TTNwLNKp9QKS5CY4L+8aYPR9sQMnVp5f3OFPXheeXJMblyB1PdPvX1fn2eowqUUkOVUp8rpT4/dOhM1NReePHHoSZ/oPr0IfKE2iqlpTzQiT2p95D/4r3sSb2nzsQVCGng6UZV1D3t0Is/DvVlPF5f1ffqyzerOtJs/5ECRi7YSgNfg6YBvlX8qs41367/39ApxtkKUV8v5uTg61eAjmOdDyBpTAuASW3THRdQgkYlAAAgAElEQVS0TXckI4qKIcjqb5vd8TFJp0NclUFzMUBpQ35FUvMyEZ+I7Z3inD1rOrQa5Fuv7kp/NQ5UNs2O+QkxWC8GsrsOclxZbnNfhEQZt/lVe1WJLLD5VfuXKHKtfriKwgBg49yYEmAwmlQ0V5T66WZKa619uMj0ZZlp8LoWJdEgpDS5L1KBawEyARmGTIQjgLbaxh0YysBQLyALk03486gL/vPZHenfI/H4K0D0uuEtkJSYX4AHLvE/XvT0FwMeQbIDpgM7gZtnXD/3wdMlriwEa8DW3FA5ZpZbYRQCbIk0+iZEGn1PdZH7EHDC1ISYWrk7/uoJg4EJJpL2txJ4JWhOWl/3tqA305ojK/qfIgUHquDrBydohOAL0LrMy6oKdkYnzQd9N0o3UcrE1GjTNDBdxsumS72lNZnIJPAOxCvmv4j/VYb1/l+tbdcoxSVIymD30EXJBn8SFSAViVR333g4eFqmgaRHXg/8Ne+Z2G3B81LDguelvoeoja5A+sdOef0T3zkd4srClYVaKX9DB+Td+/pLSN+4C0m1W9R61pTmp9FmHhCsDdyG5zVVhCN/SPwipO+5F5gVNDPdAAiZ6qhA6u8dGVPd/zhXaQwU/lgebJWxd2TMLuBmNDspAaNYB2obGq0fVS6yMJmOZhyiZmuDEDHrEbJiNNJn3oN8H1corT5WWjVp94LzLiQW4TyPx6hPR16F+H2Vf04fBui9ZsRfEWJqFuB8dMPQCx/dMHQKEiuPISlubeaHv5ZyOsRVGZS+GODwb40OIOnWryAK2a09VsVGnEaLeQD+ttIrLeVVjbGY2yv5O+Q57QvkhK1Iuqzc5kGISipu090vVNfOBk4SVh6f0xuiUguBR0FPV0pfbijzIlMrU2t1Oah3kTFPCqKwug5RW3+FqCUnICnVDyJ+jG2AaKUwlCIdSV/15SzEYn0or35AKi64cQVVjbnc+/yglPJBBh2/1nKsp/d/BpoqpXws9VX5/evrHFWgtX4NSSPghhtuqNe8TS+8OBuozR/obKdgnU3lSXWkgeZ/533kRfVwfydnqvKrj5gat3Q78zZ8V0Z+nolvVnWKMjcOnyghwNeGs1/nsrbr8/xenDb6WK+LOakuONxxrLMzMgn+3OWvn3IF8BxSBvsihFAZtzs+pn4GYRq3KfCl2zPsBUBcpzjnO0jq18ed4pyvAAnbM+x1HXi7B6hu5VWNg2KATbNj9nYd5IgCPgM+7DrIcaurgSpBKnt9gaTwVQ+l5oIO05LqVgHhjzkuAO5Tkm51l9JglFDiU4JvkQ/faR+aaR/VGK2LUWotkkazfOt0e/WlaGFP5+HOQ9rgZq24Rsn/eV6rC277OL41YsycYL11IbA7et3wAGS1+kIg4hL/450QUrULonLrBbw34/q59TEeDdKoUkPpCwFyzKyFkUbfT5CJ2otAH0uFVSeCrH2rA/rb7y/P16g2Lm0AugRUjWrC/IEJJUFz0h5G/JDmBc1JO5w/MOEjJD0lEHgq/3HPflgW5iFmxW07Lp3ot+OBiWU+aB2XTrQhyq2HfWxEA4GmiYnLMDS6QGv1i9bGFZgAegeo5Qhp+MWefmOrVBd1o+3C5EWgntBaP60UbZF0s/Md0cCGvc/G7m+T6bgQKNoTG1MQPC1zIkJqj+LC4m3B81LnAv2RNKMEYFpe/8T6kEAHFekyXcHF+waP+qb1rCm3IGmlkxAV1vB9g0ctPIU284BHNPoXT8UDPCF/SPw/g2amX4KorH4Ompkea2B7CCG0YvaOjNlX3bHfTLBvb/+8cxdCIl2DkMxlsFLPHzakb7xWAy5fSjG0j61AfYXJVQYYGn5Skra9HPho5zh7tUqfdpOdcUqTiyYFSTE8vNceU2ul2nMcbiL1HU5Wlj3ce82IcITI/szPKI31McxRCKHXBHl+j58f/lr+mZ68w5JJSilaWH9eurpn5m/AiB6rYpcgpNm/e6yKdQLjVvfMrGvs5wH4KLOlVW2w1nTY3F7JX4etSLoHMZP/IGxFUnc/m8sPIfU/oxpSH+CTOzJ094/j3tToCZy0SypDRE5CU6C3zeBhhCTDZVKstfJTSuchKd0NEaL+30gsrlgbmVbTiuveiJyEo0Ak6A7WPVfvz+n6UF5tAtpZVQD9EEO0dyvt8y7C2oHI/FZprbX1/iNWpcBg5Gb/T3VtWsesttrAanNZfZ6jHj4PL7z4n6MmcgrOfgrW2ayUVp3SpqU3ZfCcxQPXtWTt6J7kvXgva0f3PK04ONOYWrplfwXiyI1TrQLohidFWWWUb7um8z+/vN4tAbyoHtHA9u0O+y6sFV3Thgbe1egjxY31XFcAucjEeQtww+74mEfqi7hqn+xsoKAFmhJkcAjA9gz7WkRp4ERW/rd1inN2r2Oz7smUmxT7b10O2jQ7ZhtS9as18B5aZ1rXNHTzqxXTXTxgvqVfvw4g/DFHo/DHHI+EP+ZYgvgXvYUoA/5hGmzWNoqNUmhwWI9DqYuAHig1HVmt/QfwXecRzq2dRziTO49wdu08wll1fKr5JwrD9CHOeue8Jq84SaQusV6bgf4VmZB0DbAVj7/E/3gGQupcjLX6PeP6uSvribgCMRA+TrlYzDGzDiJkxaPI97Ml0ugbH2n0rbnDO4k8INjUCgXHsm5+tdZrzR+YcAKJxW+ApUFvpD1rnf+F/McTauygv35wwh5gp1IYWhPacelEo+PSibd2XDpxGrKAvRr57D5xudT/lZTYDKXAsOm1e/qNawV0AOJBHQXGIHOE/W0WTJ7ZZsHk+9ssmFw5VQtgNGi0ZhSSPnhex2LIy5nBCDnq9gxrBvwaPC3zEWAChp5Ps+KWiCH+Q8jkOSSvf+KUeiKuAILLkVfNAfYNHlW6b/CoKda17QEWtJ41Jav1rCmXVtNGZeQDNqPEdKt3aiWvLExGCHw7mgmImmcztZH6gjkAaG4DaJvuCGmb7hjdNt2xGSGzUoDfNEzQPoANH+2LLm2iOym5DwcoISYeRua4v4SmOFeEpjiHhqY4q1RD3DXWvg3FfmXSBc1VnOexaCEaWJ99+9T9WM9pH+XyBZaC3t/AVrzUxzB3IAT7OqDz/PDXHq8P4spCM6AxaI0ViwCre2auQlRYMxBSdWuPVbE31bHNfACbMltYHWKdZPe5vZI3Is+KjsAyrXkZIZWe2nT3C7X1rW9Zr+EAETkJF0TkJDwWkZPgrtA4B1FlOUtdxtdaqxJQmNqIQRZP7kQUfx2R//mHiJyEzyNyEiZE5CR0ichJ8JTF9hYijnrK+rve4/GMlVeWv9QIRF5rA/5Pa/2VUmoS8LnW+l2EpZxrmaX/ihBFWPstRGTQpcDftdYuAE9tWqdMAN5WSqUgA8tZ1vv1eQ4vvDivURs5dTYNpSt7aZVXntQHenS4xKPhe48Ol3jY24s/E86k+l516aZweqSt+zpGLtha437utms6/+ETJSzdst+rvjrL6BTjvAypWjTJeqsZQGkDPd704dLShnyHKpukDNkdH5NzFi7Dndp3hHKDYoDtGfYTQEynOOcSRIW1ulOcczowenuGvdqy3Ov/FVt0018zD6BpYfkB1jkXddPsmH93HZjZTxXrd0x/db32UTsw+FvYc84ioAhZda366kehrZQfleayGx9zLDHgbqABQpz9E/GNWW/a8NOKIxj4Ayg4vnW6vQRJN/oEiO08wtkeKSN/H0IejAN+7DzCWaY82DrdfgKDVDRjNNyhwVSVPDzOQ0QD2z67I313l/fGGUDTQN+Sa2zKvL2xT8E2X8PMoFxhgBnXz622MMAZIBjNLygqTIpzzCwNvB1p9F2NFEWawkkVVm1sf76Bvs2lDRS6sql19QcNTDgcNCftLj+/ks9NcJS6bMeBK4LfSn2JijFYJR79Gqhcm48Ota41BCFyC5F0xIXAyh0PTPy97cKUJWhVhHIZSkm2xZ5+Y79FSJmMNgsmX4TE8n24TdqhsM2CyR9hKQ/29Bt7YPfDST+2XZj8FSfTcc7rNC08EKkaXQh6NoGuffibvVAnCwPk9U+stjDAGSC4SCsXMierQE7tGzxqR+tZUyKQypHPA90tFVZWLW3mAdiKzMbSbN3Iq/wh8TpoZvpITFpQzASjEK1M1iutpoZOdnruE92/G/yE1mjFI23THRFg1f0U77oYYNHu+JjvQ15yPEYpbhOb363Kjb8gk/+3QlOcfohq0N033gsQmuL8AonFd4Gtlqn7NCVEzvXWtvMWUZ+ODEEWctyLFBcC+NtK02zK1djPcJ1QCgdWYYD54a/VVI3vdBFsmZZXIPYBVvfMPA4M77EqdjGy0LCmx6pYBzC+FhXWYeCYTZkt5UvXdX5O5/ZKzg5bMe4JH8M1zzBMZTPYaiiejchJqP4ZDYVgK7Ip168a1SIiZ9RSUHchPp8/IOnnC4BNJS7bBaBjDaXci0bH10amFSNVDz+OyEmwIwTWfUg8TkDS+/dH5CQsR2Ju1drItEIkpXM4QnydoI6LaaeC+kgbRGv9HpUks1rr8eV+L0RWcTwdO5lyFVRqatN6fy8e5G/1eQ4vvDjfURs5dbbS+mpLV3TvU1sKWeV9enS4hNXfHOLAkQIM5Ynoh9XfeP3ovKgeNRFUGoh4cdUppTO6Y7Q2NAnwJeLFVTWmGAL/s6qJ/5+hNzJqXAyg4UIFlDaikynW0gZWOe3d8THVpgydIYKt10NUGhS7sT3DvqZTnDMMMc9+FrinU5zzye0Z9k897W8hDwiyfq/ToPiWPhkK6O0HydrAKPJT2mrjUoSI8kcqFXmE6QM+hbhA/wXULIQkWLPhrZOf3Y1POG7UNvw5WWajSirk1un2b7GqFXUe4XSTB/dTjjzoPML5EYrlmPxHacKBHzfOjSmu3Nb5gts+jm+B+IRMtN66ADCa+BXc3sz3d42YgKcAGTOun3v6/mo1IHrdcAUEaak+2Lb/xiEN53WbWYEkzTGzfoo0+kYjKqhpwNZIo+84YGqOmVWdOi9PKRr7UUqpMn6tZp8qiMhJ6NiyJROBFj8fCdQu0wgE7gflj8SiP579aiku9MHma5Yaho6w+ZjvKsUCYMWOByaWpSy2XZhiaE13q70CPMTinn5jy8iDNgsm+yG+MvdZP70A2iyY7CYP5iH3KJz/apc+wNa9z8buBdDoyzG4kqYlYNAaSd8am9c/8Uz81WpDcLFWBxBLlyp9477Bo0qBF1vPmrIcUYwsbD1rykJgxL7Bo6obAAp5VWy6V2brNFBsk+FoYsNmR3OPUQzKRKHUbZbpewPrx3P2kgEuQ6P9uFSZ/KRQ8QhhlV9pz9uVC5fpy2EUVSrh7RxnLyMPQlOcIxHywE1kucmDH0JTnCvQfGCiS4HG6D8bkaovBEUDn5IOvoYGIWYeBJbND3/tbFn51PqcXt0z8+Meq2KvQZ5dccB9PVbFDlzdM7NKBV8AZ+e3tX3rI3mG5aUFqk5Eanh2ogH0DfDVExUom2GiUW1AXYH0iQ0QbymPKHEpTG1zGcrsbhi8ijynN66NTDv5nP5gTAQV47lC37g2Mk0jXldfAS9G5CRciviu3QcMQLyvTkTkJOQgfeN24FrQu9f/Ja3ev6N6Ia+88MKLcwu1kVP15UNUGbV5adWV3Kq8T3mllUt77gf/V1XnvDg/UJtH1f4jBdgXbGXkgq20rOV+qByjNeFIQQlHCqqt0FwGb/z+IYhG692Bh7gy/DHHID/TNaC4mYFp07+BkQDM3B0fU/uXdWYIsl73U82gGMpUWCPLqbA+6RTnfBkYU40KKw9ZrUbV4qVhkVZ3IZ4u1wNHlQajlCzTl4eBkbkv2V8HCHvOaSAElpvMKntVmvYYLFSaAKNUL1m3INbTCvjtpg2MEr0PUZ3V6H+0dbq9jDzoPMJZnjy4H+iFAaUBYCuovlLTeYIHAHX0eMC3wfNSE5Ur4MELm55w+ZmlBvCaUkyccf3cWj1RzhCXAgGgvrOIxUvxoGazVFj/ijT6rkJSRzIQFdagHDNrZ+X93W1cYCugoNSvVu8dq+T6BMRHqRCgUWDxsuPKuA9J4eu986EkM/itVIVM0irEobwaDVyl6n1t6EsMG3lfPzh+vodTdeSk+bMPtcTinn5ji4GPgI/aLJg8ElFZuYmsCWAo0Jgus8iwqfOWMAh5OfNy4GZMMkMnO/8G3GH4cJ0ZYNpQfA48m9c/cf0fcClBRVrlUQ155ca+waO+aj1ryk3AKITA6dF61pRh+waPWuxh9x8A01ak/dAU7ki119i/t8lwNAKeQarONlMuCpSLfUaJKlFCMN/wdbJ484VOdvpwklStEI9mAOMwiNbgo9Cv7X029liVk5lEKq1sGHo/UGPag6WucpMHqaEpzorkgeJpwDQK0aZf3ZW35yiitSb3SGFgpxs/GGNX2vexQL8SbKLijAPemB/+WulZvoYg6/UANcSipcJ62lJhzQLW9lgVmwFMWN0zs9DDIfk2ZYZYv9dIXoVnJyrkuTcJuFahjwT4lpgaloLqAzy1umfmfICInASDqrHoDzRwaZ/rXNqYY0M11CYLN0SlerqXuyvQWrNLKUKppW9cG5l2ECGQ50TkJDQAunOyb+wtwkPQNVQ+PhN4ySsvvPgToi7k1JmkYFWH2tIV62IU72mfuqA+Uh69+PPCE6FbGZ6M1KHqfTTx3a9OK0Zrgjd+zy46D3cE4M/NvicIsIxwixr9WOoyDmgKmvu32Dkm5o8qcx+MVPnbhxj61ojtGfbPOsU5rwVSERXWvZ3inIO2Z9j/XWnXPKChVUq52kHxLX0yeiCKnpuBfA0ZGMSh1FTTV8UDTYFXwp5z7sh9yb4u9yW7iRAKVQbiNwx2fIXWBdrGCUpZdHO/zBvXLYitMInXiruwKYxCvY46kFflsXW6vYw86DLUMVJpYrRiotY0bHC4tCZz93MeLpe629TKPPZ7g7cB+M33x8OHLrKVNghIf+fv40b9QZfhVhe4vzOP5JUbOWbWj5FG3wcRkullIDfS6DsGeLmSCisPoIlPAQdLLzhYXXsROQmtkRTRQcg9MQ3xU9rXwK/0r8cLeBJJbZkEjMt7LFFb+xXjIY6C56V+ZJr0AkZ2WDLpy2/6jJ9VaZfuMqUytynFtZ7aqA57+o3VwJfWT2rbhSkRwGytaedjc7n8/LSnier5Ac0tALYCFWv9/aP/YcNfH1F7Ci4qvfEMqgeeKoKLUe8h/jw1Vha0VFgvtJ415V1kEr2o9awpbwPP7Bs8qozYzv58YknUDRO/txWZV6KpSiBZaJPhCEDUI4lItcmVRiHaMNXdQF8lSpSNwNKrkpy3fp1sP7FzrL0UsaOpspgQPC1zARCNpj3wVsjLmQ/ufTa27B4JeclxOaaVQq74FSHG6oyd4+xl5EHbKY6L0byOprdp0yW6gT4rSs0/Anestje1Ka4rLPX1Rfy+Co4VBqijBYG6eeBvl88Pf+2PWuULBo6AOoD4rdWI1T0zcywVVgZCqrpVWP+ptGueTZkNZbTpWXllkVZRyOLSDcAuX6PUEeBbEqMUycUuWwqiyJvVY1Xst6t7Zm62VFQF1k8FXP/+2J2g/09rdRyl3wnPTuy6ISq10vNT36VEVfg51E5elYeVKvgB8MFNHyaMQKuxKJ0INNCas/Kcrg/Ddi+88OIcRH2YZFeHpVv2E/HiKoJHryTixVUs3SILPdVNwN3vV6d8KU96nY4Cpb4qGXpxfqC6+KsJlQ3fa0NBiYuJ735F4pLt7D9SgEbiN2bh1jopqU4F3vg9+2iaVxp64belDf1/NVcAdxpF5kWGqX0wdeHO8bF/FHEFMijeh+IgcGnbKR6MySthe4b99+0Z9meBHsi47dNOcU5npzhneSPp/HKBXWVQfEufjIhb+mSsQqoWtQaGaYMbsalHUOobYEzuS/ZSJG1yH7Ak7DnnFTVd1+ezYlwo9aXpw7eACbx7c7/MJu7tNz7h8NM2ugIYJWyz3q7zoNiNroMcV9pKeNcoJcNWwreNDro+8S3yXIb+fMGBby+55uC+ZnmgHgWaqxM+29Hw+9HAP7JwkEVe6R3W3zUSBiAqrBwz6y1EhZQDOIBPI42+7crtlg/QzKcAVNVYjMhJuDwiJ2E6kmr3OGLYH4IQp82BJ9ZGphUgFQ9fB8aGLkp+uA7/zzZQjbVmNfBqhyWTbim/UWvutbIO3dXqTjkW22Wl+LfLSpmoFKuV4iJfX9dMX18dCJy3Hbj/L0Y3319VkTLVs8DVPr/zNAqUqT7/o4irrD3XBwCXgcpD+q86GbLvGzzqS+AmxGcnGqlI+GD5fTTk24pMpXTVNNE2GQ7/NhmO4QiB6wBygZt8TqjXDVP1Al74drx909fJ9q+BvyIFKmZeleSsbRjh7u/+hahRUips1dyuXKDRW1D4chqxCNDG4bhP+7BF+3K/6af/aTbSvtqHdrUfeW7ix2NNrtl/tIn/b0V+i4DuhSW2y7RWvhqOv33TH0ZcgfSNpxSLq3tmHlvdM3MoompuDKzvsSo2tceqWP9yu+UbCsOmTPDwnA7PTuyOVPZ7HyFRn2zkV3hboF/JY0qxBUhZ3TOzGCH5fwaW9lgVW+P1fXH35EJQ35ri5RkALAvPTmzo3n7jB2MaK7hGazRSMANOIx7DsxPbaG18qFHJWhtbtVYblVIhtR956vCSV1544cUpwZ0yVX5Cn7hkO0u37PdYgc09MV+6ZX+1pEF50quuChSbtUxQn5UMvTj3UVP81YbyhG5dqlMeKSiporAy63ko3zTA1xu/fwz8lQb/38x/bngr5uOAn0s6oJSfMqmzJ089wT0oPog4CDerefeT2J5h/wSpdPQKMBLY2inOGWFtFsWMdLJlapdb+mRcf0ufjPeANQjhMBJou2ZJ3AyUygBaAI+vzYotAMh9yX4Y8QYLBN4Je85Z242yDaXaaxlMtwP+dXO/TPdDoKvpgy9a7zRcuP2p6jwo7jrIYes6yPEcUnCnJxALhNuK9SdAu+53T2lU17bOPRj+ZpHvJ3n9E982fvQ/BHTBBIX6I9MhgwEMRa71d10ruJFjZv0XiZPHkbjKjTT6Phdp9DXatzpwuFQbhc1sJ1DoA+5jInISLonISchAqsY9haTDtl0bmfYcorZ5HEhdG5n2H4CdDyVp4O/AWmB26KLkzrVc1jaAkiKfdOR+WNJhyaQggLYLUxRa3Qoaw6Y/svY/pQlau6yUW4GtSIpjFnCVn69rmipXdfM8hb+h1e87x9qn7Rxr36E0kWhA8+UfeA1B1qu7b6xzLO4bPKpk3+BRKYhKZT+wpPWsKf9qPWvKRe5dfApN0JQpktpkOHzaZDieRIz6/wHsBbrviYuJ9Dmh9gCvIUXBykinr5PtK4CxCInlNhOvDrsRterPSAGL0SEvZ/Yv22rSR0llxdcRouOUYrGNw9GijcOxEDFtPwpE7I2JfRrFHqz08fMU/qAoKvX9x3/ueuHTklKfLkphQ9fNH6oeUf453aTN2y/417J/GVb3zMxGVNWzgdHA5h6rYrtam/MA/IxSDSeVgOHZiTeFZyd+jFRGDUYMz0ObNCiYYzP0PxBi//Hs26cWW+f4CUk9vwRY1GNVbLXelBa2gWqDeBd2BuZYXlqAjkBGDps56SlY5wW98OxE3/DsxAREldrNuvZblWINcM1NH46u1o/rdOElr7zwwgug7mqW2lL/yqtbyhNL1VVbU1BBdeKJAKuMAF8bmQ+HnRVVmRfnNmqKv1NBXeLsbKJl0wCm9uvM1gl/KfODO1U1mRenBPfg012x7Q4ATH02qmbVhCBEmeImmOo8SQPYnmH/bXuGfQRC5vgC/+4U58x0+UrlNA3m2qzYklv6ZHS6pU/GO0gaQDekUnPImiVxL61ZElcY0TfzAYQseGFtVuym8ufIfcm+A0kNux6YGfZcjSqDXOCikkbqW8Qr5h6k6hWmwUMYCiS9xU001WlQ3HWQ41qkBPpUZCX66k2zYxybZseUIpNKhRB55yv8ORmLbVFcJIvxZ8cjpBoEAYcMpfdZf59SLFoqrLkIebUK+a4+iTT6tj1h+h5r5nMCJdWomkXkJExGJm52pMJV+7WRaU+tjUz7PiIn4RJkgr8FSZUpw86HkooRRc2vwNLQRck1lRXeBqC1CkG8YvyAZR2WTGqkNR2Q8vLfGjZ9wtq/ToRBu6yUpu2yUv4JfIYoF+7Z1Xdc/119xx1ElApFnPeEQVksglQJQ5Ujwf8ABFmv+ch5a1UBVsa+waO2IX3dBKSA11etZ03prW3stxVpjFJ9tE2Gw9Ymw9Ef+BrxKDqIpGjdticu5tP2k5wK8XVrAjz+7Xh75aIQLyLxm3ZVkvPu6q4l75lYF/Alkp76DPApMCvk5cxuAMqkh0ZrhcpC+sY6xWIbh8No43AMsa7/fiTttsuemBi3j9EWznMi1Xote05rDRqqlhg/S+iwZJLiDJ/Tq3tmHl3dM/NvyPOwCaLCmlzssv0A4Ge4SnO6O3V4duL14dmJK5Fn3TVI/9h2Q1TqqxuiUosRorQPkJR9+9QvK51jM/AkUpHypVouaRsQVGIaa5G0xocQtSLAIxYB/zoSiwUbolLr5CkWnp3YFdiE3BcfAFdZ124isegHXFWXtk4FXvLKCy+8OCU1S22+VtWlK1Z3nLaOGbd0O20S32Pkgq0UlroI9DXKCLDHwq/0SIh5cepQSt2llPpWKbVbKTXaw3Z/pdQCa/tGpVTQH3+V1aO2+Ksr3ESrrZrqlWcb5T3ozkRN5kWdUXlQ3BNTF9Zmbl6faJ/sbARczMl0BDjFQbEb2zPsq4FOyEQrpuBi9a7YaGjzlj4Z8xFSqScykQtesyRuypolcb8DRPTNLE8WpHhqP/cl+3JkcNsfUTxVB3d6TNi6BbEzEFVY3M39Mp/QNu5Ha1BqDqIuKFy3MLbGQXHXQY6AroMcqcAXyAr0X4F7Ns2uUKlri/V6vk/STsYioGR15/AfeA3BQN68bkWamRkAACAASURBVDMLERXAacVijpl1AEmNGogQitt+PtrQt6nPCQ4WNrwTifcxSBWqq9dGpg1cG5m2FyAiJ8FNFjRF0gWrVJDc+VDST0h1sebAotBFydWt5O9HSK5rv+kz/lukWuU1wFzQ/S1RwVtILEItRGq7rBTVLislGlH+/Q1JK7t6V99x77v32XbfpBKkstafIhavTnQ2R9HeWmn8I4lUt//aKSuvysNSYU1CVFj/BZb+EuYbBWArdF2A9FdvIT5V9wPd9sTFfLgnLsa9ttofiyz4dry9ivLs62S7BgYj/ev8q5KcNaWL5gJhWlGKkAUHgHdCXsrsjMlFKHbuTrAfQuKxVlK/jcPRAVHmvIYoAK/dExMzeU9MhaqrW4CQoBkZTTy1cR6g6nMaiupama+e0BwxPXfHIpxmPK7umfk+0ge9CYz55tilcwH8DJcOz05cgiwu3YQotEI2RKVO3RCVWgAQ9enIlojn3zogs5r25yPE0dM9VsU+XcOluNW111htvQlMDM9OjFYQqTVaKd6mjrEYnp3YKDw70QlsQD6bPhuiUh/cEJVaftC61Xqt977RS1554YUXp6RmqcnXaumW/Vw36UOCRq8kaPRKOj//Ya1+WDalCBq9krc2fFdWSVBrOFFi0j/8StaO7knKA53Omn/X/09QStkQifzdSOWlR5VSHSvtNhg4rLVuCziBtD/2KmtGbb5qp4IHrmtJ5sNhVRRYfwSdFbswt0xl9fzyqgbwp6Mm86JGuGX1xXf0SPUDbkXrUv63EzQ4DYWBG5YKazhwp1aqgQmU+iufkgYquiRArS5qrOxFTYwPi5oYDbsOchgAEX0zy5MFj6/Niq1CFpTDC0h6VFrYc867qtnHTV65VVAjgVUaXkPrYDT7N79q/y91SI3pOshxB0IEjEYmmFdtmh0zf9PsmMqi3f3I93Y+EwZ+UJZKeQea39Ec2TnGfraraJWHOzUGTlPt4oalwnoDuFrDJ98fbdLsvf925MdjjYceL/D/7+HfA5IOHWs089CxRiWhi5PLp7i4yYLxayPTtntuHXY+lPQ5QiDdhii8qsDyZ9oGhAF802d8NkK8PmAYPGWV5JjBSfKq2nhsl5VyBbAUWIQQ3Dfu6jsudlffcZ4qfW4Frrt2+fj/zUrImaN8LPYE+B+RV0XIZ/0TcKn5Y+hpf577Bo/KRVRYz5stzLDfrrDx++WEmT66uemjXzf99DjTX+eZ/ros9bj9JOcV1EIWAHydbP8dSdkqAZZdleSsjijahixWXLb32difEbKsMbBCFhpYYO1XY9/YxuHwa+NwJCEExLXIfdBjT0yMp0qfbsLgfFUClj2nr3rn+cbAjVbn/796Tp/RIhPA6p6ZR1b3zHwSuLfEZWtWUGJj37FmfsWlxr1FpbYPC4p97CeKfVefKPZt5O5Doj4dqRBloB/wRPbtU2uqEDQOeA+Y1mNV7K3V7FO2yLQhKlUjadvrteZN4HJg94ao1CPU4Tkdnp14D1L1ciSyCHbVhqjUdzzsuhM4gZe88sILL84GTkXN0qODZ9V+oJ/ByAVbOXzipJn1kYIS4rNyy/ywDA9DETdh5QnzN57XBaXORdwI7NZa79VaFwNvI74l5dEbeMP6fRFwh1L/I3mSB9Tkq3Y68JTq2j/8ynq40prhstwx9x8pqHDPlMfpFC/wolqUX9HtBgQqU/vxvyevTntQ7IY2+BVFUeHFCu2jikw/Tph+qieGmgWsR1b8T3Qd5NhV3JDNRY10n1I/0tZmxdboaZP7kl0jleC+BN4Oe84ZWnmfz2fFHAa+xyKv1i2ILUFSdn71LURh6k+tXasdFHcd5Lio6yDHbKSyoAbu2DQ7ZtCm2TEev5tP3h+lOY/TY4KnZSpkUlLUJtNhAD3QHFSoPywWo9cNtwFXUpG8OuNY3PPWdb/tndv5WNq+e8n6/npdWOJ3qLDEt32py5aMVMjaDRSGLk7eH7po0n+O/eb/6okTvl8hVbpqxM6HkuYB6cDw0EXJQ6vZbRvQKXheqnt+8xLo/zMMfTHow3seGfszNZBX7bJSbO2y/h97Zx4eRZW18d+t7s5Cwuo6okMCyDYEIghGGUcghkUQFWVUxFEcxmEQ1E4CSYhhixCWJI2CyigaPgUcZVEjiBDZRtEoCmERAggJ7goCsmbprvv9cbpDEzorGIiT93nyNFRX3aquPl333ve+5z1Pj0TUVlHAaIS4+qKcS9sMNAGuqegzXKQ4UwWo8aRV1vSzMX9Qiy9MJBb9qWIFvtLod93W4n7Xbf2lbc+v9Xf9/XA2VEcwqI+FYSjeRYjyo6Gz0g6FzErdXBxkrjaVDtTwyK5x9nLLCe9Mtu9H1FQtgAVtkxy+PAjOIPb3PR6zHVGSNtUWDZpnQmelWZFUVJ/Pxhbp6Tch8TUJeAtouzc6+uW90WcR+h54VKm1lbzy7qdvBqxaK38ufD9dbWLfg/zvL/3lmx+bFK3e35qjhYEFTtMocJlGL42ah1Sy/BE42eHdcbt+Ohacc6rI0ttlqgkrb5n5VXntru2Z5kLiai+wpMeamGY+dvsWOII7FrN7pxQAA5XShdLl6vfd+5XZT0esTLgiYmXC68ByRLn45+zeKSOye6f4rG75Sa+pLuQ3cN5jsY68+h/BF/sP89zar/hif00q0utQW1CWaqVhoO0sH57lW3/wue+en30tSEKxqZmxchef7z9UZbPr8oitOlQLTeGM0rXfurf53EeLMuVX4BJqEOX5P5Xnq1ZdlE51XZt74Dx8inOHhjr/q/MH70FxJFqbmNQ0eRXifs13n9fkHAiD9mMcqv0YxxNANoogUIedQerVjfNiGiE+Gx2QdK6RwLMaNmtF2MkrDY41U3HtEh0z2iU6yvMQYssz9hMIoe0E3un4hMPXhLJE7QLw8Rsxh7TiA5xQHED7sBiHwseguMvQdNVlaPpgxL9lCJACdNiYEb2mEh9/M9C+e9/p590MtgbgURcUIqmflyqTE9RsLF6FeKblu/9f6apaZaH5wikRQA5K3eMyjU9dBdZfdt897nJkct4S8Zl7BJmIr0KrP544Ghh86EDDP327/5J3ms2d0bkSp0lAvFVmt1qc/Gcf729Big00B8gdOE77+Tln+9mKMQyzfvOFUy6jDPLq2kVPhyGFDWYh6TDt9wx6KnXPoKcqUsPV9jRWb/IqEtjjXq2q6Wdjvvvf50zsj9g05FLgHeDZUy6/L/DT6IbO21EEIrF/I1JZNQ54HTiFSStlKD9t0e+1mux4oNVkn4RUCXYm29cDjwP9KOXV5kZpVSr7Ho95VxWqk6pQYT2penHaC/CMWGyRnt6wRXr680ixgmCg/97o6Pv2RkeXm+aePzz2B+S3XJtjEdz9tNYlcXkh+un9nIdYDJ2fYoTOT4kHPhJdvyooLLY9v/X25IaIArojosobBcwGvQ10+wKXH0cLAyZ1fX/s013fH9ukvHOs7Zn2K9JP+yMVCL0rEfNF38ma08o9ALJ7p/xoM1wf+xlOLIbLQzCd1U9HrExQESsT/o74+w1ErAiuy+6dsqESH38zEH7jqvjzugBuPZ+N1eHixBf7D/PA3GyKnCZ+VoMFwyLo3KzSBY7q8D+A0b1bk7B02xmpSzZDcaLIyZFTogrx+PCUTm+qDL4/cqpaKqoL5Uf0O4avG1qaIazMPrKjUo8CjwL88Y/nR63k8X/yxJkn7oASgurO65qe19TRtzd/x4yVu/j+yCmuahTIdxeR4snX569DteAZFBchqTHblAwaa3pF9yRw4Ksxdt1yuuMg1VzRbT/GcRlSzagf8C6aR5Sk0x0G2JgRfRRRFpSkYnV80nGv7ageFPytpqCJsjiDdDRK/atdouNZIG3HZLvPe7HlGXt+xycc9wBZwIKOTzju2PKM3fTaZSvQ+/q/p/t//nJ0IYDStDCtuPAzOiBKrDMGxV2GpocALyBlxT8Dbt2YEb2VysPbDLYqx10M8CavxO/KhcmFUxeATNJ8kUEVovnCKRaEBJiELHz8Ga2eRNRI7L47qRBRBez1HBMyb9olhmEOatDkBMePBVJ80tYD6Nds7oy3gQn7h43ectaJgN33JLlaLU4ejCgVlrRanHz97nuSvAcX3oTBVwCG4lYsYLoMK+jZCCEA7ni8dtHTAUjqTRyiTngQWLBn0FOVXT3bivSR4QhhUtvgBxT9KcERCoSiWcaFeTZ6Ckd4EwZ7qtrQiE1DegKvISl7T+R8e/VPiMr8cN6oGBPxwvoBISgBCJmTulwVqGKXVVsMF1egmQ8ktprsmAAs3p14xvPOG3OQ7z2hbZJjy85kuycVkLxRMYdCZ6V9ixdh0HKao6VC1XP72z1vFPIXU3qmkmdji/T0u5D0xSuRFNmkvdHRla7+Ri1WpeKVNog8G3NA3UDNx+LPuQPHnWjxnykKOEU1yavQ+Sl/QGIxElikDPMxpfgZdz+99fZJvyLPj5I+rOOypGEBtuK7/S0mRS6L1aUticCoru+PTQdmftZnik+l09qeabt6rIm5H1gGvNJjTcz9a3umeT/DtgJDO69INL7oO9kEMJRuphWm0sbN3bLibgOjPlCyehuxMqEVkhrYHSmc8mh275TcKtyCHOBfyD3dV4XjykWd8up/ANn7fqHIaWJqKHaaZO+ryWdAHWoDfKlZggOsFLvOHLtVh7gCUXBVR0UV0byOZD3P+JYzUxuuRlKKfO6jlLIiCo5DvhrTWr+otb5ea339ZZeVK+CoNM61mmBVq/b5Mku/2CjTOv+r8wKZIri0AUQgZaGh5gfFebuS7J6HYbVStdqPcUQiq6i3Iqu1d1gLOIkM/H3Kqzs+6VBAvGlTX/ud0NQ7qI8F/cA+tH4P8ZjKa5fomNgu0dHI1/FbnrGvA54A+iMkxRlvI4uhbQBuujetiYIbUGxRLkw0s7WsMB/rMjTd2mVoegzimXGzu82bqkhcQe1Wu3gTqZHAboVqwIUnry594NN/VKkEa/OFU5oipOZkJM08fN/gsdlAY8o3n3/MNFWQn9X1a0BQYX69JidtymK+CPQAcprNnbGo2dwZf/J14O57kg4jSoUApAKht8pgB6Jo7Oi1rY/W5CsDQP3VdClP2fpj1y56ujsyqUsEFgJt9wx6an4ViCu23j7pBLCL2hmLcFp55fG7+gU4sX26vbC8g84XFu3t3AAhOj2xWC2foRGbhthGbBoyGUk/Pgbc8Hyn+c+C8gwkfcZjyJzUDsBtKLaiOGHaCDItejFCSL4BbGk12TGw1eSzq666DdxHIYq9jLZJjtIxcIYqFSHrQRYxGlkKlEexdaxFenrTFunpS4GlwEEgYm90tL2KxBXIs7FdyJxU/wr3vPjgD2CaBCGkoKdfqPF+GmDvfWM11VSlhs5PuQ25/psQn7J7rf6mh3fx3U8vS7IAY0xtfGWzuPC3Ok/5W4p3gl4LTADyu74/NrHr+2Pr+zp+bc+09xB16r0IGe+NrYiKLxSg++rYq5WivYZtoF2g/w26AXAsYmWCX8TKhET3Mdchi9Tdq0hcwW/UT9eRV/8DiGh+CX5WA4sCm9UgonmNZgDVoZagdOrUkTJ8eKoDj3qrqsj/5eJRwPxOsBG4VikVqpTyQ2TzmaX2yQQecv/7HmCN1jWXv3ku1QSrU7XPF1kmXqoXF+r8r84ZfgCG07wOsGHqne7tF2RQ7EaVBsXtxzhs7cc4UhCy4Ffghu3T7bO3T7drhCyAsgmDXkC4NkhTGoxivdBSTIsGX3McUQasAsYB+e0SHUntEn2mB74AvAQkdnzC8Vev7SVmsO7XWwFDK5ZaTmoFNNEWmpsGFkQxkwqsAdptzIh+dmNGdHVWRfbwG5nB1gBkUqlxArcg9+ISaj4WNadL0P+EPPYqPUBsvnBKf4S4vAFJB7x/3+CxHlVAmeRVyLxpQcDjoN41DL6s51/8vTL4vl7jU71tgUXhSApWb2Bbs7kzFjabO+MsQ8Pd9yTlImbv1wFzWy1OVgB5DyScRGKjA0D48qRghCR9S1nMAq31MW1yl2lSbLqM55DqbRag155BTz20Z9BTByv7+Ushh9oZi3AmeeUhji40kQpVUKWO2DQkFPgvUtXyFaDz853me8zLK3o2xgHHMXlHaVUfeF1budvlp+2Il5AfsAT4otVkx+2lSaydyfYiZKx0EDFw936mbwXahs5K8yiK+gBfYdH/1YY+puFONCgnNyPEa19kMeH6vdHRG6kecpDFBJ/k70UOD+EWAaC18vg9Xch+ukrFLELnp/iHzk+ZiXhDfQ90zhuS8HLekITK9NN3AdeilUMpMJT+P4uh29azFX8NdEbUT08DeV3fHzum6/tjg3y0MR1RGk7psSamn9f20mmsveVFvaW1VlrTFLENCUCq/T6NVIhtm9075aXs3illqQ/LwzbAxXn2vTon8kop1UQplaWU2uN+9SmTUEo95N5nj1LqIa/tnZVS29wl2Z/1mAKX1a4SPOvef6tSqtM5nGOGUirX3c5bSimfq42/B3Ru1pgFwyKI7tW6LmWwDpVGdaq3nW/UTdjPL9weViOBlYjPzJta6y+VUpOUUgPcu70MXKKU+gqIRgZSNYZzqSZYHdVWWTGmoUSJWJMo63yGUnXeV+cGD2HQDShSTu0x76uRQXHrZIfiTF8XqILyqv0YR3NkdT8e+Y1ev3263Tu1qqJBcTzwHQZzgEOWYgxkcDq0wX7dacdk+z3I5HsdoqzKa5foiG+X6CipxuU2cB+JpF3N6/iEwzMg3YNMfj2D4r7AYWsBwYGHdbHhNC1a0cAVQC+0DkHr+4EBGzOiPcRJlbFuxRiPGWxtJAxkIqv5AxCMZj2SVlnTvi7fL7npeY+6ptLeLs0XTglovnDKM8jE5hug077BYzP2DR7rvchRnvLq7whJNhXYaShaIkqBpn5BxTODLj0xHplATkN8XHY0mzvj/5rNndHSu5Hd9yQtQxRT9yPG6h54e7v0RLy9dgf6F/vZbK5gZeggtLKBHgp6JhC2Z9BTWRV97gqwGfhjh3fH1cbVYT90SZrWGlXzRGqI+zXf/eohECv1bByxaci9CGHTDrjv+U7zhz3fab63CWtjoDD/b/FndfYhc1KbI4t4c5RWosY1mQvsRPGay1+vQ0ighxAVeibwaavJjj7eJNbOZPtPSAXCy4DFbZMcHrKqRJXacpojAOip0atMG61MfyzaolEuUFqN0OitQNje6Ohpe6Ojz2X1uDarUj337S/AcX36GVIj8dhm6SRPIYt8r82V7qdD56e0RtJRn0C8827IG5Kw02uXMvvpjsuSFNJP77FaXC8BhRZDFyBVv0fVsxWFftZnygBksWAj8nzc1/X9sdFd3x9bMkB2pwr+HflNLOyxJqaN+63tyNDWu5/+DrjUYlCkZfgZBHoA6MtA35XdO2VQdu8U30bHlcAnvaYWIHONi0p5FQ+s1lpfi1QROWuSo5Rqgph73YBUuhrvRXK9gEjRrnX/eeSUZbXb12vfR93HV/ccWUB7rXUHpJxjwrnciIsdnZs15rEeLeuIqzpUGr6qutX0RP5iINB+b9Bav6e1bqW1bqG1nuzeNk5rnen+d4HWepDWuqXWuqvW+rzlqVcG51JNsDqqrbJirGmjwBIlYk1CI35zpeHSukIVWR3KhWdF92bgE3XatLmmJmmNkepZVV7RbT/GcT8yEG0N3Lt9uv0f26fbS1fIKHtQ/KQjAvGsSN/8XHQRYrzaBpiIkFUvRAxJb7tjsj1nx2T7nUAXZACegpBYse0SHfUAtjxjLwLuRu7bOx2fcFz2+cvRTmRg3OGme9MU0AfNBgV2tF7cMM/5QcChYm09ZRJ40NWk3gHXi/V+dr57S7/psbf0m975ln7Tq5Sq5oXNQHj3vtNrWxaBh0htBaBcFzY1xo1KqV2aL5zSBomNx4FngIh9g8f6Wh3wSV6FzJtmA2KBj/IfjvsYicXLGwQW7gHGIGTV4/uHjf5l/7DRCe7rdAB/BXKbzZ3xcrO5M0K9mpyKpHZNbbU4+Tb3tq1A89AFKQ2QlMETwENKcSC4XuGYxvVPaj+rk4CAYiOoXtGooHqFa8OXJ00NX57U263Uqg5qc5U3f/fflcic60KoAMEdj8aVu4uQ2CmXMBixaUjQiE1D5iIqkx1A+POd5r/hY9fyiNQYRBkyE4lFFCoEibf6wAKXv9a7E+2vIs/Mv7uvawWwodVkx60eEmtnsn0TokC8GfltwJmq1JuBQAwCUDQ3rfpJVz2OakObpkWjbfzZ9NMrQ2envRw6O21I6Oy06ppc7kXSJmsjeeUPOEH1BNZDibCkpuKxKUI2ln42lhuLofNTVOj8lKGIHcE1wIC8IQmP5w1JKCi1a3mLTJGIumrGx72mFyOpyG0QDuQz4OXuq2Obf9Znymef9ZnSF+iGxFcaQmKN6vr+2ACAtT3TTiJkaiHwTo81MY2+6DvZo0rt2H11rA2I0pCtFP8C/ZrNMD+2KacJGkPpKyyGzuiWFfdOt6y4J7tlxXXslhVX3X72vKtSz7XD9y6p/n/IjSqN3kCW1vqQ1vowQhr1UUr9AWigtf7EnZLyqtfxZbV7B/CqFmQDjdztVPkcWutVbhUCSEd89TneizrU4XcFXz5YD0T8scYIrMoSFnX4feFcqglWR7VVEVl2IciisrTZ59v7qqr+YLUcHvLqOk6naUHNDYpLp8aApOjUbznd4TNA249xBLcf43gF8eLZDoRvn25/s4z2yxsUx7m3v+T+fy7QNnt+tAtJvToBLIoYkl4PYMdk++c7Jtv7IRW5NgEzgH3tEh1PtEt0BGx5xv4Tkt5wObC44xMOG6e9XToAV6L5A1o7/Y86lbVA32opMp+rv+3QQf8fj/+IqZcgi4kzgM+Bg7f0m/7OLf2mP3lLv+kdb+lXaTJqM0IIhlRy/4sF/gBK0w7IMVwllUkudAorlDFJa75wimq+cMrfkXSSpsDt+waPfXLf4LFn+SKFzJumEI8zX7F4PzK5m+r+v8dDpTVCIGQCM9q9PaELwP5ho3/eP2x0LFI9cDYSr7ubzZ0xp9ncGdfsvifJozLYAixstTi5NSWEgW6PLHrvAiJsFtdifz9XisXQn11a/3hWw4BTpkWZryOVNGOQKoaHw5cnbQhfnvR0+PKkyPDlSZVdQavt5JWnmtmFSmE9XuqcP1EOkTpi05BwJBYfAaYAf3m+0/y8Mnb3TaTOSb3Cffyr+cNjv0PUNkVA272x0V8CjyEebEkAuxPtxbsT7a8ArYDhSBxnAetaTXbcArAz2f46oogZ3jbJMRwRR3hUqX00uhDFXzX6A+3HWAwgyDWNRsUQ4FqHpFkNREy+vw2dnbY7dHbav0Nnp90XOjvtyrJv4WnkD481kd9DrSSvtKgAW3E6FouR+KgJlNVPX97iP1N89kuh81MaIn30K0hafMe8IQnvltF+ef10PFJI4FX3/3OBtusiU4sQZaoG3ui+OtYf4LM+Uz7+rM+UKGRhajfwLLCn6/tjh3d9f6zf2p5pXyMLTaGIAsuCPBs7ADdoaKDhWtDHDMWlhuImw8BhMTiiFN8gz+I/IYsHOcCBbllxS7tlxY3qlhXXvltWXGWng5uBq25cFX9O1Wy9ca7k1RVai/Te/errwsoqzd7U/e/S28trt7y2qnoObzyCsOh1qMNvAqVUH6XULnf6qi+For9S6g33+58qpUJq/irPRmkfrKfvDKsxAquyhEUdfn8oHXeVjYPqqLbKI8ueensb9jdyyjy2uqjo9+Myy7YYO1+ptNXxB6vl8ENrp5Lb71EXHM/6+KmiGjq/r0GxR+1yVrWD9mMc1yGTs4eR9L6/bJ9uzy+nfZ+D4o5POtoii3azt8y0eypa5QJX3HxXauPs+dHfA0OQlJtZ3sfumGzP3jHZ3htJ4diBkAt72yU6HisOZhtiQvsX9/atwOWmwT1oUFp3th137VKa+4FkLMbjFpe+w3qsqEm9fYevqffVofbIouEQxE+mPacHyT/f0m/6klv6TR95S7/pf7ql3/SyfjK1NT3Go7xqwwUgUu/+eIQfcu99xeJZ4/jmC6c0QtQtc5HF3o77Bo9dVs4p6iM+UmfEYsi8aQZCpG4H3nNv9pBXbXfcOUEDQ5EJ3Jvt3p5QYuexf9joH/YPG/0k0AJ4ERm3f9Vs7ozZhUcCGiIxXgy8owxzH4Bh6Fu1JgRoYTHMr6yGORzYCKqXYXCPzWLubBBQ0K9x4MmHkN9Pb8SPzYJMJD8AjoQvT/pv+PKkieHLk7qHL08K8PWBt94+6SAyx6htsQjgj+ZyIO/LFHseF4a8yhvU4gvvjs+n2mXEpiFqxKYhjyMkQQPg1uc7zU98vtP88tLsylJePY78FmcAfBVndyEkgCfNah5CJIxrkZre03PQ7kR70e5E+7+BlohZ+7UIgbW61WRHNySVdQUwK+Bn40akOEUHoA8Gh7TSftpGG4QwjMobFjcWq36Weq7uNC56F6mS2BlRKO5GCN/XgR9CZ6ftCJ2d9lzo7LR7QmenlVclZzPQMWROam1UpXrW70pUgLvvTqop39Wy+mkrQsifufP8lAikzxqEfO9ReUMSyhtE+e6nlyVdjyivHFv6J3sWBHKB0Kh19oB1kan5yLPxesTTqgSf9ZmyHiGwIhEPwxcQEmvYiSL/bCTVvy9SVGML0MLU3I7c5w4K8pQsRsWtvzU11v1ZrnJfa2ugGZI2mwl0QkiybcBP3bLi3uyWFfevbllxbcohs847sW+taAel1AeIlLQ0Eit5jrLKrle6HPs5tFXhOZRSiciqy4IyT/oblIOvw/8OlFIW4DkgChncbFRKZWqtd3jt9nfgsNa6pVLqPmTl5t6av9qK8fSdYVzfrAkTMr+sthF7RWjaKLCOuKpDleGJmRkrd/H9kVNc1SiQ0b1bVxhLd17X9Kx93t78HQuyv66wU6oOzqXN85VKW54/2O/0t+eP3PoTiF/EWaX4CQAAIABJREFUP7mwvi5wJmHwNUD7MQ6F+GVMQ7xfIrdPt6+tRPtlreiOQUp9exNTHg+O1kB29vzoVRFD0icDT0UMSV+XPT/6Ne8Gdky2fwj0bJfo6IH4Yc0G4oqDedp6nDQFMS4/0i1FgGIApi6wnnQ5DZfuBExYkxU/0d3Ux31bx/8TyAAc65ePGYmMvRYA3NJv+h+RQXgP999Az326pd/0dYi59jpg1/rlYzRCgrgQwmBJJe7RxQKPr4uN0xM0qLl4vAYZH+d7bTuCjIXPIAyaL5xyE6IquBqx15ixb/DYigz2y4rF/ghJOiT/4TjPYzAPUbu0Adhx54RD7d6ecC9iTPxKu7cn3O0mtQDYP2z0d8BjzebOmIbMQ/4JDCs8EvCCNajoHxabuchiNac5i9SvSuleABbDbOhncQUrRTbQ95NeU48B9FgTMwBJx3m3ceDJiLU901YhhQsIX57UAPgzp2PxKaSgQUH48qRPkFhcC3yW0y/ZQ4DXTtN2jR8Sg/Pbj3EYyPdX08/G/FLbfkYI7RKM2DTkMuTZ0Q9YBgx9vtP8yhjsN6ZUVeWQOakNEGXV0vzhsd5y5hJ/nr2x0bpFavoIJI16YYvU9PC9sdE/enbcnWgvBGa3mux4GYnDBOAjVwArMZlhKaI5sASTdSi6a/Rl2tBoG0dRBAO35o2K+dzdXAzQFniBxkW78x5I+BBRvaaFzk6zuq/JE4sPASMAQmenbed0LK7PGxnjqQydAwQhBNvuStyjiwV+CHl8ECFILoT/muZMQYx3P30IIHR+ioeIT0bmdTfnDUn4pBLtl/VsjEOKsPzba1suIjJqCWxfF5n6dvfVsc8AT3RfHbtuXWTqW54dP+szRQNrur4/di1SnGUSorROOFHkP6merXCOUsT5WZypRS4rLq3utChdpKBISWzFrotMTQPYEDXtg25ZcU8iY4anN0RNS0BI3FcBumXFhXI6FnsgZBfAD92y4tZxOh73boiappFYBDnPqkrcowpRISOrtb5Va93ex987wE/u1Dzcrz/7aKKs0uzfcmaqnnfJ9rLaLa+tqp4Dt7F7f+CB8qpp/Rbl4OvwP4WuwFda631a6yJkBfOOUvt4p8ouBiI9xQUuRtx5XVNyxvdi5r3hNP0NfKlCLqnzuqpD9VAV1ZZ32tx1k1YRPnFVSQrdxHe/rDLJZPmNf7LnM5X2XKo61lL4I2Oe/65em1DEhVEXHNmVZD/ite0Mn6H2YxyXI5MyB5LC1LGSxBWcHhR7qr3R8UnHNYiyae6WmfYDXvt61C5tvLZNRKp1vRAxJN17ewl2TLavRZRWvZCx1L+dQdztsrHNZWMUgFY6zHbSFWAp1sHAOC/iCoAVu6bOQ9Qtj/VtHf8v7/fWLx/z9frlY15dv3zM0PXLx4QgqWJ/Rwa83ZAV5Z3Ad7f0m75QGzyoYa+ufYSBJ4XVhZA0FzyFdcENL5nAAdyx2HzhFEvzhVMSkZgwgT/vGzx2aiWIK/AxQXOnEiYgJEWJL1F275TSahd23DkhG1E+3YWoBs7C/mGjv94/bPQ/EQJ2ITDKecJvYdFx21o0/VAc1VqFWQxT+1lcWik+xou4AljbM20fUiWuJfAfd1oNADn9ko/m9Et+L6df8uicfsnXI9/RHUgMNkZ+Lx8iaYarwpcnJYD+GXSbDu+Oq1eJe3QxIRCNP0KkNkKekzUSi4v2dlacncIKpdIGR2wa0hNRjUQhiqkBlSSuwLfy6p+IAfu0UttzgeYtpzn8AfbGRp9A/K8aAPNbpKaf5c+3O9F+aneifSbyvBoDXI/BBy5/ftCKQOtJdROKy9y+Vibyu4/0Iq7IeyDBiSxY5wFLQxekhJS8NzLGmTcyZmPeyJjpeSNj+ro/z00IefsjooBdChwMnZ22OXR2WjquEk/HWvVs1BKHfsDanXeNN7kw/fR3uQPHeadDe1KqrwAInZ9yFZIuOgVZNAmvJHEF8t2d2H13UsnKf8dlSa2Q9L7ntvRPPuq1r69+egyy+JbRfXWst/cfICTWZ32mrESqNfZHFiXmnSz2iyx2Gbk2wyX9tFatFAQoietoD3HlhecQIi2+W1bcEO83NkRNy9sQNe2VDVHTHkS4F48P+TqEzHoR8db6ultW3KuG0neB/o7zGIvnKif0Lqn+EPCOj31WAr2UUo3dJuq9gJXudMBjSqkI9yT9b17Hl9VuJvA3d9XBCOBXdztVPodSqg/CdA7QWp88x/tQhzqUh7LSWn3u4/Zi+xUfJauVUo8qpT5XSn1+4MCB0m/XODxEwcx7z6/Nw4a9hyreqQ51OAeUTps7fLKYI6eKS1LoDp+suqrw/huuYea94WelLp4PWJQ6r6m051LVEWqhX5bWjZEV3TXuLRckNabUthKfofZjHLcik7NIZMJ+5/bp9spOzkAGxb/mzLJ7kwvRiMKm9MA0H7e3i2dD9vxoJ5KechIv/6vS2DHZrndMtmchfli3oTho+hPmDFJotMZEWYo1GhLXZMUnl3Gt8Uja2Ky+reN7lPWB1i8fk7d++ZhX1i8f4xkkt0ImnetwD5K1opW21DrPUg959eXemOhjXATklRs/AZc3XzilKZIy9zSwCLhu3+Cx2VVo35e64GZkQpWa/3Ccs9T+ngIC3khHqhmmtXt7wvVlnWj/sNH79g8b/QgSy0u00xJZdNTfick1pqka2AyXQlIdb/MmrjxY2zNtHaLA6UOpdBxv5PRLPpLTLzkzp19ydE6/5OuQ1K6BSOXPPyAT2Ue0VieLi43aZtbpSYVcS83H4iVAMGfH4s9A41Vf/aXeiE1DpiDx+CvQ9flO82c932l+VdaWziCvQuakBiDPxtX5w2M3ltrXo3a51rNhb2z0duSZHEk5WUe7E+0ndifaZyC/r7EoOpr+BGvtHu+L3vIkip55o2I2lT4+74GEw8DtSFZUZuiClPql9wHIGxlTnDcy5pO8kTFT8kbGRCGE481I4bLDwAg0M9GYqpjali50KRdfP12ivAqdn9IfSZGPQBZW7ssbknCEysMXkToa8UV7ttR2jyKwpJ/28r8C8b/ywwfcJNZyJM3wLlCnily2NgXFVgM0pjY8qWlPrItMdZQ+3q2YGoX0tXO7ZcVF+DrPhqhpekPUtK82RE17aUPUtMFIumFbRBn4CfJcfRloCvq8xeK5kldTgSil1B6EDZ8KoJS6Xik1F0BrfQiR1W10/01ybwP4F5JD/xVSHWFFee0ig5197v1fwi2brOY5ZiN5+VlKqRyl1JxzvBd1qENZqEyKbKXSaC9WFeD5NJH2oF3Siot/QlyHWgtfaXOVReN6Np/b1+YeKPHQ8rVPWbqsRoG2Es+txvVsZ1UbDLRZSPtrx/OazncuVR1rpV+W5hr3E3W1e8vFMCg+gAbbr/wNURcdBrpun25/bvt0e1WFf2cMijs+6bgEWQ1duGWmfb/3jh++FetEVkbPIAy8/K/+xOlqWT7hJrFWIMriO7Rir1amMopd6KPHP7Cu/iK9rGNX7JrqQoiyXcDivq3jW1T04dYvH6PXLx+zZ/3yMS+uXz5mMHCVUehyFDZSHGll69Ah2rfp/UUJXeKd8qn79RJk8lJTC6mhSIpg6R/szweOBXkMz7siHiuD9w0e+ytVgy/yKh5RdmX42D8XaB6xMsFD6uFOFXwYH/5XvrB/2Og9+4eNfhBJNVtqODU2iwul9Ylrgg//7ZNeU8s0fF7bM+1FJEUmuseamKEVfzzI6Zd8KKdf8ls5/ZIfz+mXHGYoszfowhPHA4ILC2w+lYsXI9qOcygUFuDAlyn2H7l4iNSfDzr9WHb06g8Rxd7LwPXPd5q/pSqNh7w61YIorLxj8UHEDmeqj0N8qV1A4vY1YHyL1PQyCXeA3Yn2Y7sT7SnIZxuHqQsxNRqNpUHRiLxRMWUaaeY9kLAbUXq1A14LXZBS4Tw9b2RMUd7ImI/yRsYk542M6akt5tVY9S7bIcOwHTHKvdaLEFe5Xy+mfvpnrcF0MgIh1L8FOucNSXglb0jCufXTy5KaIiKdV7b0T/7Je8es7o6TwH5KxeK6yNQ8xPOvC2crB8+Am8R6G1E9DdKobww0YKLhLaBM7mND1LRiRJn6HfB2t6y4a8ra1+sYvSFqWu6GqGkvbIia9lfgClPzkgIUdD2HioVn4Jwa0Vr/orWO1Fpf63495N7+udZ6mNd+r7jLrrfUWmd4bf/cnYLYQms90pO6V067Wmv9mHv/MK315+dwjpZa62u01uHuv+Hnci/qUIdyUFZaq899lFJWpLOtNfKj3yLV6GSxyejFWy7uCXEdai3OJWaPlKHK8rR553VN2TzudFqtd7VOX4TRhAF/Kkl13DyuFzMGdaxWtcWqqKHOpapjeX5ZFytMg2MFlxhFR5v5efyeamxQ3DrZoYxTNAn4Qd/W6dH0nzo9mv5L53+kH22wWx+o97U2LQV0R/Ma0GX7dPvWChv0jdIruo8B9ShbTeJL7UL2/OhVQAowLGJI+gMVndRNYmWa/mTW336Q4E3fFVs37roVyI8yBo2NMgY19nXcil1TjwID3P99t2/r+AYVncsb1lOufxomdsPUH7s3VTiwvlig0P7+QQVFjS4/6vHPEVPisVUmLKsFram/95fG7Pjp8m/bvjXxYNu3Jv7a9q2JJ3J+uPLW/EONrwV9AOi0b/DYefsGj63ONZ1BXoXMm9YBMQx+Jv/hOF8EXS6itjiDxNxx54RDwH3Idzu33dsTKszL3j9s9E7lNF74Q/3jru4tv6JVk58Cgv2KdgzdODRj6Mahfyrn0GhE3fPvHmtiulV0Hm90XpHYTilet1q0e1ynao/aRWMxlT7qDDI9zw4PeVVT489LX8m90ZX4wT2vXDtrxoFrZ844fG1a6vE2rz367GO5N5snnLZ2WnPf853m/+P5TvNPVKP9hu5XicU5qRZE6fIFpwkSb3g6sTOejXtjozUimNiN+F+VWQnRg92J9l+VyXNKqW90oMbSoPiUtUHxq22WTvqozdJJA9osneRzDp73QEIWYEfSVMtSr/pEyIszArDwJgYtlSZHaXVWBsfFDEO5fg32LyhoFHQyr9WSZEUN9tNtlk6yWpSzfnDAyXsiVsb/dOPKuEPdVo05+odLDuU3DDpuWiyu7qDnABF5QxJyK2qvDJTup59EuJjUMvb32U+vi0xdihDuT3ZfHXtnRSf9rM8U02kaS1zaWHVpvRNcEniq0G3Svq/76tjY7qtjffa/G6Km/YL00/WAd7plxQVVdC5vmFrFgvoH8JESkrxSFTMrQm2rQlCHOtRGbASuVUqFKqX8kMFYZql9vFNl7wHWlOfDdrHhfJlIl0axS1/UE+I61F5UN2abNgos89iGgbYzyCPgrGqdlSGMqlNtsTpqqOpWdayNflk/32DNK2po9Suur16JuulpC5JqUSOD4l1Jdm09haHAT2kuVy7qYwIGRRaUYSkEawEDrKcYGj7KUWEhnTLQGPeEs+OTjiDEF+bdLTPt28vYfyfQ4ua7Un2lHYxH/Hz+HTEkvUIpXutJjsdRjLEdKfrFUsRKoCdSYWgy8E2UMSg9yhh01oR+xa6pe5H+7lrg9b6t4yuVbxvZM+V+4Hlg2ckrrE+5NzerzLEXA+7o9ll2gyuO+xmNiv8Vljm+ATWsLvj5VJDpZ3NZrRbzCiRurKALgwOcxiUNT6mg4MJWQcGFo8Myx1e3tHlp5VUcUur++TL29xDKbUu/sePOCZ8gypu7EUK2XITMSQ0D3g70KzoEYDFoh6gL/gpsH7px6LtDNw79y9CNQ88gwtb2THO698kH3uqxJqZS8dR5RWIo4n9TqBS3Ir/BWhOLO5PtzqLLXE6XP61apKX/mRpWXj2987Zf9hdcail2WRtyxLhUnbAEqCJVXBygzY17mhubfrw6YPPBa2IiVibcUM1TlI7Fu5DnzdT84bFnjbG/irOfQIpnnEUY7I2NPo7ESCPK8L/yRutkRwDwDobEg6vY8iiSitUUsbD5ss3SSX9vs3SSv4/DZyPeQWNDF6QMrvBTAiEvzrAinro9gIeUqb6gFsUiQMtLfvkuwM8VEGB1zkLSSW3UUCzWDyxwBfoXW/ys2t/P4rzcz+IKthgmBhQ1DCoyLml8nOAGhfcENyh4MCxzfHW9IUrIq47LkhoDw4E3tvRPLq328iAXaBO1zu6Lr/GQsBndV8eGVOLc8aCG2wzziM0wlyIpfbuQapvfdF8dO7X76tirSh+0IWral4hSOhzIKKeq4Bm4cVX8MGTx7A1OL6Kdl3isI6/qUIffGG4Pq5GIN9tO4E2t9ZdKqUlKKc/K88vAJUqpr5AVwPgLc7XVg68UpPOFi3lCXIfai4pi1mZRPtP3Rvdu7fNYm6E4UeSskDyqLmFUEWpSDXWuflkXAkVNmFjQRJuGU91/uE3gI0gWZ82lIyiWoDBcNl744uVoPzNANdQ2tU/DL+4o246spG4KH+XoXo0zeK/o/h2ZhPpKi/HAo3ZpWfoNL/+rU4j/VZlfbOtJjnuAmcDb1uOuYgU/ZZmL1maZi/oCHZHUhFHA3ihj0GtRxqAO3sev2DV1rfv92yq4XgAie6bchlQ9+tC0qvsCD5h/VsU6H/htSt/+BnB0fnNnl8v35xSa1ktBvwS6RskrQ7FMo7BZXQcB6867xgc1rFfoUAqU0vjbnKuRxbTdYZnjnwjLHO87T7psNEZMqY+FzJvWHFmwm5P/cFxprxcPPNXQykq3SweWI/5Xncs6acic1GsQa5ATTS89vAI4lNFl3u6MLhmPA39EqgVGAOuBT4ZuHDpw6MahJQ/ytT3TDiMqAz8gs8eamODyPmTnFYlXIsRVINCroMh2lWGYx0CXVtZf1NDBrulYQKOXmFbtmVzWVDxuNl3qpOmHpegKs8vuxOjAoob6Fm1R/srfdfB4QcB2JFshO2JlQkbEyoSqKjdKyKuQOakKGVvvQZ5LZSEXH0QqwN7Y6G3I8+pWhFT1idbJDgswH/iz6W9KapdWX+cOHDcbIc88z9e5QH6bpZPi2yydVJIam/dAgsdzaD3wSuiClK7lfciQF2cYyDziDmCUKjRWuwJ0mFZ6d+tJjloz12/sfyqxge0ULm0MbxJ8wuPtVCOxuLHvFK0U7wIWlzamrr811c9QNDYMftCan5XCpdB7EFLx07DM8TdV4zTe/fQIhKArL/UvF1E9neXruC4ytRAhUw3K8b8C6PTeUw8hvnwLDKWtSvHTusjUlesiUyMRX6wVCBmW33117MvdV8eeEf8boqYtR8ziBwFJFX3IG1fFD0Lu0/ugH1GKmxH7pvMiyqg1AV2HOtRmaK3f01q3cqevTnZvG6e1znT/u0BrPcidztpVa73vwl5x9VKQGgVWdYxbMTTUDkPoOtQqlE6ba1zPRqNAW4kiasY9HctM3/OVchccYKXYdWa/XJOpdDWphjoXv6wLhX2Px/xccJle5gzQxaafmun0V1Cz5NUyhB34s3tLf8SHIt1thvYaYgBdH1gbPsrxRvgoR1XSjxoDhzs+6bABscCHW2baPy5n/7K8XQDInh/9HeINE4aQU2eh9STHX5AJ2icB358aoqSUeEkp+Sxz0dYsc9GDSDrYLET1sCXKGLQiyhjUI8oYpABW7Jo6B6luFNu3dfxDZ53IjcieKTcj1Z22FtW3PlVc37rOWsik+t+b2xvsd60v57NedLg66MjM8Eu+BdRfLZcWtqRmfV3+a1G6CNSlgf7Fl0SsTGiApCllKsUef6vLiXzv2ch3nxOWOT6yCu03Bo7kPxyngRjEX+ssU2APsnunHEcK1viucnnnBBMh035G/K8alt4nZE5qY2QCVh/o62dzBeMVixldMn7J6JKRjJBYIxBj6CVA7tCNQ/85dOPQQIC1PdNyEUPk9sBrPdbE+JwndV6R2BhZkPyDy1T3FRTZngA+9A90qsCg4v+UfWsuQlh42WzgdAJNihryiEabeFUt/S2xpX9yscVmSkVVQ3uqkSUBR1WAa4GpjdbHT/ldj0zwHwB2R6xMiIlYmVDmRL0UvJVXkUBnYHr+8NjyDC9zgTYtp5VJ+rwMLAAmtkhNv6X0m62THQr53dwN2F3B2jMI+BEgd+A4Z+7Acf9xX8utiMdcCvBNm6WTUtssnXQ1QN4DCUWIMvV74O3QBSk+V7pCXpyhkN/X39CMV4WGE8h1Berw4kZ67q5xdrOcz3pRIaNLRv4lASfW+RnOIpvFlW4xTKjRZ6PK1IDW6i/uDfcCrU3UTKWUpZ5/0SxgMJL+tiEsc/yrYZnjz1IrlQPpp5clBQJPAO9t6Z9cnlWAR5Xq89m4LjJ1H+J/1RWJobPQ6b2neiMk6epLA4+PVIozno3rIlO/WBeZeh9Cqr6IEKs7uq+Ofaf76ljvFOo0ZOFoYresuHvKuuAbV8X3Qn4fHyv0VEPxCUKMfc5pn8dzQh15VYc61OEsVNeQudD52/SRtcIQug61Dt4qqM3jepEzvtcZiqjSKimghNCdsXIXo3u3LnmvIh+s3xo1qYY6F7+sCwqDV05crW1aYR5v5o9WNeoruEYbuIA21z3mMJDUvH2InD4f6J8zy/4WYtQ7Dqk6lRs+ypEUPqpSZuSeFd37EY+gilRMPr1dvJE9P/p9ZED8aMSQ9DNSV1pPcvwJSX3JBwZctezHIGRM+WPpdrLMRV9nmYui3deViJB2a4CNUcagv0YZg6wIebIaeLFv6/izVrQje6ZcByzT8HVhQ+tn2qrWudu7Hxjw0ZKzU4Aucixu2+jH4038j39tuaLgSlXPWb3qEdXAfyNnFCqlP5P/6U6IwqMxMAlYBvRsEFjwLeJTdQdSje6DsMzxS8Iyx4dU4hSNgcMh86ZdgUysXs1/OK4iNZJPbxcPdtw54RdkItkMeMnb/8pdPe5tpBrlXfnDY7ciZe3PisWMLhmnMrpkvAC0RlQEh5G0wvyhG4cmDt04tMnanmkrEQX8ncDE0m10XpEYBCzTmrZFxZZni53W+Yi5fSrQ7ss7JnxVwWe9qJD/YPxBbDpTB7tOaishznqc2j695ggPi9V8E6VRhu4V8nxqe4SweVZZWALYThX63ZTdOyUeKSTxIXKft0SsTOhViea9yat4pADAaxUc41G7+OzQ3P5XwxEF1+stUtNLp9eORrIt0nYl2WcisQil4jF34DidO3Dc6tyB43ojz8RMxAMpr83SSf/XZumk9nkPJBxE1ID1EQLLVxXYJOBxTF6jSPUFXkDSycLyRsW8WsFnvehgKF6+st5RP6W0rWG9U4CuSWJ/pdZKAx3/8kGsBbm3202tZgAHlOL2bQMmvo48q6Ygz6RdYZnjx4RljveV/lmCVkuSbUAQEotDgcuouJ8ud5EJYF1k6hIkzTS6++rYO7zf6/TeU50Rkv5LYGCQX3ET91s/UQrrIlP3rYtMHYkQ/BOAbsBH3VfHftx9deyd7sqt/0SqCL7aLSvuutJt3Lgq/kbgLdC7FDpXqZIKpgOBwe4qhueMOvKqDnWow1moTgrSuVRvqwwudkPoOvy+URGhe6FT6WpaDfVbpT/+xnhP2zhw4ipz99FmKu/byIAaIzy2pdlPasV2BTYtaX2dgck5z9mdCGFwa/goR2DOLPupnFn2ZCRtZRlCKOwIH+W4K3yUw6fXhJvc8tdwBPEX2sbpyso+8eFbseWqXbwwDvgI8b9qBdB6kqOpu/0CoM+ucfZfOG3Eetag2IMsc9HhLHPRFCAEqYRYH/HD2OXcs/cf5tFjDyF+M2/1bR1fojqL7JnSCljpsqmiokbWYAw1HKk43fajJbH/qYXEFQnt3juhFIt6XLW7ybUNft4TdUNOmfftt4BF6TcBlNJ3IETNsuzeKV8gMecHRG4bMFFvGzAxEyENEhGPlJ1hmeMnhGWO9zWJ9sBDpD4O+COeKhVhJ9AmYmVCmX4qO+6c8DEwFiGd/gUQMifVQNQAfwEeyh8eu8a9+5WUE4sZXTJcGV0yFgM3IB5BnwNPA18P3Th0ZrPgQ28jCpuneqyJud9zXOcViX7AElMTUVhs3WlqIx4hoTt/eceE0V/eMaE6puIXA+bpQLOBGeD6vPDq4j01eWKlWGG1uQBuRMiCY4iS6BMkjvoDZPdO2ZPdO6Wf+/9WYGXEyoS3I1YmNC+neSGvCo0/Isqr9PzhsYUVXFK5ahc4w/+qMfBai9R0A6B1smMIohL7D5JmBRKLBe7P5RO5A8fl5A4c9wCiUn0OIfC2tVk6abl/YPGloAcjfcYroQtSThO3L84YhWYixWobxWqwQrUE/gbcmjcqZrevc9UCLLUZ5rHL/I9vvyroSF7YFT/U2Ik39p1yWGv2KUUQ0ke1AZI3RE13Au8BfW9cFW/dNmDi8W0DJiYii01rke98W1jm+L7lNO8mUvWvCMH5MdK3loefkX69on46FtgEzOu+OrYZQKf3nmruvuaDwG2bbnv6KKf76bOIfQ/WRaYeXBeZOhEhsUa6j3kL2GkzXA8q9P3uNjO7ZcWVpPHeuCq+A+j3QB9VcLlSDAWeBdpuiJr21vkirqCOvKpDHergA9VJQfquBhQmNXGOOtTBFyoidC90Kl2tVUPVIPY9HlMMzHc2UGHF9QktbmBURe5/7lAsc//rKaQct0cB8C7im1NS1jxnln1/ziz7XxHz8+PAUmBl+CiHLy8Wj7rgamQwPXXLzEpVritX7QJn+F8VAm+GxaZfgRBXjYC+u8bZ8927+lQX+EKWuaggy1z0kvtaByID9OfMn37Ocebvf187XYFAZt/W8cGRPVOu0QZrioMsDZ3B1ktR6hDQ7aMlscM/WhJblodSbUGGv8UVHHbp9/7BQYXlTcDPOwxDL1ZolNz/JpxWGH0IHMVNGABsGzCxYNuAiVOQWHkbUQ3uDMscf3dY5nhfZFNjdxuPAUvyH46rzCQ6F/F/qeiBlYpMyBxt35ogabdCZsXmD4993Ws/n8qr0sjokqHOrgUxAAAgAElEQVQzumSsy+iS0Q/ogKgUHlOKvc2CDwX5W4o3Aa/0WBPTpfOKRIvWLHS6jN5FxVYTVIj7M3b78o4JWyrxGS9mrEDxk67vCsZGeMj/TStXRXI+saV/8gHDYv6gTXWVRg8CZuWPiD20995ED2FwW4s3Jpd0rtm9U5YjaZ3xSNrdjoiVCU9HrEzwVQlNno0u9Q+EBHixEpdUodoFYG9s9FaEoO0FxLdOdkQBGQiZ8fCupBL12hXAj/mPjq7wmZw7cNz+3IHjnkSIgySgC7DWP9CZZLG6FoC+FyGSCXlxxoO4eJYidVKZKkyh5gFt8kbFvJY3KqbWEfoeZHTJOAm8Ud+v8E9BtuLQerbimu2nYRWA1iQCO4DF7u3vIv1eiTJ424CJe7cNmDgA8WzUwHthmePfDcscf5aXJO5YtBhma2QBZ+qW/snlfk9Z3R2aSvTTpf2vuqwY+wfgfYTk7bPptqc9yldPP13hYsm6yNST6yJTn0MUrfch45AXrYb5qVW53gHdBHirW1ZcwI2r4luC/kBBoKG4Uim+BbpuiJr25IaoaWWSttVFHXlVhzrU4SxcaBVJeajzv6rDhUBFhO7FQB7VUjVUTSMDhQ0DTQ1XYtKKVzSgZGIyZfNzdk+u6XrgBJIqeAZyZtnXIiklo5CJzNbwUY708FEOb98fmaApopA0vjcreUm5QJub70ott3pQ9vzob4EHTUVHpz+bEVXYwF3j7Dleu1WovCqNLHORK8tc9BYyGbgZ+IRi50hXXr6f6+cDHVxFhW87/dXGogbWpqZNmchktdNHS2LL8/KqTfgI+MrPcAYhMVFj+G/kjB8MpY+YWl0JvJfdO+VzgA1R04qRSU//bllxZ8wRtg2Y+M22ARPvB25BiIDFSDph+1LNN0Y8pRpSvhmxNypFGHj8r7TmYPFxv9WIb8xMhMQC4NHPHwpGiLAqqdkyumRsy+iS8RDQHHhGKfr/od6xTlcEHiXAKFphmnpFUbH1bqfLAqilQNsv75jw/Jd3TKixlM/fCvkPxjsRMv1at6fyNTV5fmXoD0EpFAV4fZeIEvAyxNOnBNm9Uwqze6dMQ9I/FyOETm7EyoR7S6n3GqMpRtJfn8sfHnu0EpfzE+L55dO0vRTmAv/BJFmj30ZUW3ftSrJ7q7vKVQH6Qu7Acb/kDhz3NNJH/QtobLWZQ/wCnMcMiys55OWpz1Os/k85DRAF7S15o2KG5Y2KqckUu98SGUoRqCQWa7af1uoVrQGlmgLJ6yJTPSRkFlIYpH/pY7YNmLgC8QkcDXQHvgzLHJ8Sljneu+iDh7y6DUnjW17JSyqzgIA31kWm7tWaYS6TG0zNJuQ3PGDTbU/neu1WofLKR7vOdZGpbyDG7pFAjlKMtCrTMJQZobVeAvozJb9TF5L6esOGqGlfVPYcVUV1SzLXoQ51+B1jdO/WJCzddobSpKZUJIE2S7nph550LaBucl6HGsNVjQJ9Kv+8CV2PT1YdLl7sezxmW/Nn077AoANmzRIGTXYV7z95maXAtAAWVaISyZllLwwf5VgF9A8f5RiRM+tM1VTOLLsTmB0+yvEGktr0JPBA+ChHAjCP0+TVtcDILTPtzkpeUi6SuncVcMaKgDsVsTNSnS2CxipCFWsafuX0L7jMGJszO/aDUm1VWnlVGlnmIo0QOR9FGYPaATH616MPXdpOR35TrymY+lMMdf9HS2LLKideK5HQ7j2dsuO2eRalnzYwK2tAfd5w/Ff/H01D1S/2K3691FvLkFX8Tkg63RnYNmDif8Myx3cG/oHEY05Y5vjngAnbBkw8jMRjU2B1/sNxZx1fBrzJqzNiK+S1qYZ7u8QiATeC+Yf69QpPalvxx8ePBMXkDz8jdbTasQiQ0SXjGyBm6MahycDwAIsz1iwqvuQbpy1KC6kx+Ms7JrxXnbYvcsxDEeuuB/ZHpDpYjcDyje2LwFPqbtNC7u6nYr0JmJXIhLg/kkZ4BrJ7p3wHDIlYmfACUhTiP8C/IlYmPJ7dO2UrEotOUC4khalCfBVn1y2nOcpUu7RIS78STywqbkRzvTa0ctbjiO2k6rsryV7a7P5KJLW0ysgdOO4UMKfN0kkvIR5s8f5FrusLT9mGuzRodLJCTc4bFVNRKmRtwyfAbkPpFi5ds/20UxtbrNpVpDCdiBJTLqjX1KM3ropfjywyjSl93LYBE4uA1LDM8QsQL6t44G9hmeNHA6+D1dNPhwAPbemfXFlfuVzg4ah19kZZ3R1HvN/o+v7YIIRUcj8b/SIUJvX9C/0KnLbHs3tP3VCqrSsRdvpAJc9dgnWRqRrxqlzTfXVsR6WIVaYebChu0yi0Zq1S/G1D1LRvq9p2VVFHXtWhDnU4C54J+IyVu/j+yCmuahTI6N6tf7OJuaHA1KJWGd27NTNW7io3RdCTrlVHFNShpnAhCd06nHfMw2CWVvpPNXlSDY8aTh2AYYCTeM4sOf0uUo2vA+AzBSlnlv0A8M/wUY5/IxO1lxHjYI/S6jCStlJZ7HRfV5vwUY4AZAB8o/u1I6fHiPuA9Uax3lnvoJlc76DpS6lVoa9LZZBlLtoB/H3u47c883D8li3zlp9cNO/96++tjb5WlcSrWpNsM5z147fe03Bqh8U1UuWt+cz0UDMo4FpLg2KLs9A/puWbT7/51V+fKnK/vQIwEcLAJ/m0bcBEJ/BCWOb4N4FkxBtlcPt3xidAYBNQBhWbEXvjR4QYahPy2tRLEC8q94SMG4AG7v2OANlgLA4OLrzXMLSx/b7xpSeBlU6NKQ8ZXTKOAFOHbhw6c/97oTuswcpZ3OVE+Jd3TDh5Lu1erMh/MP7LkFenbkXRAa1rTO1y3QiH4WfxG+oKwAK0bz/G0WH7dPtWgL33Jh5u8cbkD5FYTCyrjezeKRsiViZ0QfwEpwCbhdBq0AytAoHn84fH/lyFy9oJ9G6Rlu6PKF8jvP4896YY2IziJW3jcgzuL/I3fT2nrsAH8VYV5A4c5wKWtFk6aellrxfMtR4oeOTH7sF9vkxNXHku7V6syOiSoYduHDpPKaagdWUUcOcT0Yah/SwGfogfoLd69F3gmRtXxbf8pNdUn+TutgETfwAeCsscPwfppxcAI5Qyl2ttoKRoQOkFg/Ig/bSmddf3xx7mzFjsAHhSavcAWVbD3OdvdY33t7p8cTxXAAff6vZcZRe4fGJdZOoW4MEbV8b922kaHxpKv/ppn6llVgo+36gjr+pQhzr4RGVUJG9v/q6E4KoMhkT8kQWffo12d+/1bAZTBnbweZ7SREFpVLWKm/e1/tZkXB1+f6hpQrcOvykWonkGg1Y1dcJbbpt+GQYphlaYpt6AocZ2GZq+fGNGdLZ7F4+S43bKIK88yJll3xQ+yvFnpHT8dK31DAVYTnDcUsyrXR5KP67EFsJCea/Bqr6lyKSovuHx3AJJX/wMqYKYDXyaM8teMunrGTn1HsTfY3qpy7oC+HHFt8+eF5LpkbE/NAd45PZNzwz7x39+r8QVCe3e+2byl/22+SlXh0J0CBV89+cRM7GgzCLLFou/Kxwx5n8KYEPUtIPdsuI+QWJxQnmNbBsw8RdgRFjm+BeBZ7XWLymlwWIWWf1dj1+7OPlvSnJ/yo1FretZGgSesh09Fvh30I+BAiHQtgILkVjMBvbkPxhvAnTLigMY3y0r7tINUdMOel1WlVNjysPWFzto4CrLCWbn3DHxd0lceWEuimfRRFA1Ivxc8Ddt0AYTE4PDwGvtxzi6bp9eknq3DEht8cbkZnvvTdxfViPZvVNcwIsRKxMWIx5uIwynxlQKnISFPJe6EINiKvFsNPzUnzC5EjiqUB5V5NdIDD7jft28Nya6ACB0dloHxBuwL7KoAEDIizOsSDrVeYnF3IHjdN+4MY2BvN8rceWFV7VmiqF0WE2dsNN7T12tlB7vVhJ9qhTJPdbErFjbM22re5flyPffz/1aJrYNmPhJWOb4rkhlwRQ/w3VToUvhby0+ZbPq129cFX+cSsSiwtbYz+KiwGldy+l++hjwKVINOBv49LM+Uw4C9F7/pAIedF/jC6Uu60rOUywCOE1LCID5/+ydeXhT1drFf/skHZkVEUWEMiozLUUUmZVSFGcRLs5exQkkLRQolckOUFqCgnIFFQdQcLoIyqAyKlKBFgSqMhc/xQlBBTomZ39/vElJ03QAinoh63nypDnZZ5+TdGcPa693vVpNr6BolcJPXvnhhx+nBXf2tVPJMLgg47tKLfo9iYKyFFin4r/lfa/+0EM/Tgf+sMBzA/uHxx5pMiM9G0M3jlw6LnjzgKT8v+CyU0yLqg5gOIgzA3kLeD3ygekdNs+Lyd020/Zzh2H2TYjCILGiylyhhfPDh05frRzsBYKVg4YoGgJaQwGafCDX9ShQQgY4EaGrgaKFaUDIYTPEUU2/kX+BJQ3I3jbTVl6nvgyI691nSu3Vq8Z4hjBU6aQYSdNdiKR8P6fh1GqRRZmtWgT+cS1/AXnVZMb0GzX6Jgy0No3/gjMLGNvs7cQP9w5McJOpHwIpXT8Z3WDD9VMrNJnccdOkbW2XTOhhtejPa1144prjuYGBKDUAQGsKEcP/XCAPyFXKoy1qnEDDY7lBocGhDgKczh15J4JitVYbc+4Zc7ycyy5DyLV+wHyP42cUNugDEUjWRO8QnHMPivlophsW8y8h9js+bq8DpGqD3xUc1IrxwAdIUoB4V7EPEaP+G4AXKqozIyrlCDCsfXrKjpDfgl7Mv9DEGUQ3NODECeSjyEe5+kZFER59I5oaplVfhoFCUaQKGWE41Qf7YmMOlXPZHcD3CLH/ssfxuggTWyVtMbp5nEL6xo+ror5/MuZFzvvh/k0P7DPQF6R9E2UdeeXKM1ILVRLphtJWUDi18aRVmR8Cb/RaHdt5Te/0go19p+y7+uMx3yDEfrnkFcCOmyaZwMvXfhy3KiSwcFeh0xKQXxTQBPHV04haOR9Xv4j0k559o0WjWjhMRbDVEeIwzTmFzoDngG839Uv2OU6v7DFDR60bsQx4KGrdiJCVPWZ4LqIu5gwVqV7oiiTn2FmFdVYIv2G7H374cVrwlX2tImhOEkcVma67zadn3NXhjLO4VZQpzg8//Di/ULf5b8PqXfFbDUug+a+zfa0e/VOvBh40A1UWkG9oNgH3A80pGZLwIdC5wzD7xaVrKY1OD003DAezgGBtcNAMVW2cIeoBZ4ia7QxRO52hqpozVF3qDFXNnKHqIkeo+s4RqhY7gnneDKCmDlTkX2B87Qzi94AT+p4a/+eIrvF/jop8OD5CdoSv9zp+NibFW4z6u/8KYvFvRb/qP6eNvmDv4ftrf9fvbF+ryYzpIcBzWHUOCoWEBY5ATJ9fb/Z2ojtjmzszZv/K1h1gdd5tsehrCvMCceQFdnMUWG9xFFiTHAXWdY4Cq8NRYL3YUWBt7CiwhhXlW/8syreuLcq3POsosHzvLLRcXJgfuCY/NwCLRbetXjN/dI1aeeUmEkCIzV983KPb1+VwqTNOD11dz+dKooAykXPPmKMX1/vj1XoXHYvssnJsnYrPOGM8o+FCDDSKLTtTbUuAV4DRbeLs7qxuuxH/rVJG2WWh9Vh746LDwVO0UlhyLYlBRyw9go5YRgUdsbwXdMTyS9BvlguDDlsaBh22tAj61WIJ+tWyLehXy8uWE8Zio8BoahQa2y0nDACtg/REZ6hZbp984MlYjZCp14fNSvf0rzvlRBYVoClQj/OBSAWurP7jU61rHKqDhNSfVYQvS7gOGGhRejtw1NRGJuLr146SCtQPgR5XfzymZulaSiN6/VOWGsEFL1qUDihwWL82DNoB/0YyX37DSd/JZsCFSNKV97Rmtrw2ihymdb9GHQ2wmA9XCyzoVRZx5YGPEJVWD6/jZ2OTKWNzdIX3U6U4I/JKKXWBUuoTpdQe17PPjk4pdZ+rzB6l1H0exyOUUjuUUnuVUs8ppVR59SrBc67y25VS4ad7DY/3RyqltFKq7pl8F374cb6hPE+qinAqxFFVZHGrKFOcH374cX7BsOr1SEhSjFd2qipFj/6pFkQt8IO2Ughs2/hmrGPzvJg1SJa0JyMfmO4mgpYiu/SVJQxGA7eiOKGUWpc125adNdv2atZs2xNZs22RyKS4M/AE4mMUhmYCMEdpXQfojcVYl1vPYmgxOp4CTOt2y7Tyvo8vEW8tX4RBlUyKzZ9aBCNql/Nigda58eZCQ/EicKP5U4tys+1VAeKAMB1susNUM/cOTPiT0mRqNrKIKpUB0xfClyWEA3McDuNQ7vGgPzCNLw4MGfvBgSFjEw4MGdsXWZQ1B/4FvAho0I8ArypD9wQ9HtNILioIoKjQMhXJ2LWq7ZIJZc7NN1w/1UTadb+un4z23OG6GPh1TqfXqkqp0RXYmznXVpXk7D8WSjELqAY8cjav0/FxezjwGIrXUdThpMrShpCpr7WJs1fbd9c4jfSNvZsuSqpWRnXFaD3WHgK8DwQ6QgALa3aNt63fNd6Wtmu87a5d421NkFC+aISU2AdEAbMwiQW9FcW1hlMdsxw3PkDUMGsbz07rXsGllyF97rUex6paBegmUs+LvtGi9AqEuIxN+ybqrI3T4csSAoFZwH5DaQuwZcP1U/Wa3ulLESVdXK/VsW4ydSkSuda3ktVPBvoeLwwqLDKtazb2nbJjY98pL2/sO+XRjX2nRCBt5mpgOJLRsDnwDOgXEAKqO6gNBQ5rHrAEmNlrdezEXqtjy/s+1iFqrhvcB27d8ISiCjeZIpfH1wba8De0xTNVXo0BVmmtmwOrXK9LQCl1ASL/vAqZRE3wILlmI51jc9fDvetUVr3RHmUfcZ1/utdAKdUQ2T387ky+BD/8OJ+weOsPdJ2yusz3FZRSSvnCqRBHbhXWgSk3sGFM71MO3SorxPBUQg/98MOPcwcZUSkaSAdaU/lJ6OngUaCDhliUak9JA+x4JJPQvMgHptdBQsZ+oBIKg04PTY8CkjQsQVEd2OxdJmu2rSBrtm1z1mzbC1mzbfcrB+1xss5SoLHkUSMgV+8FdqBUzWOXWcYCzwOxwLxut0zzaSuxetUYB5IBrH/vPlMMgOjLhluR8JiqWtx3AgI5TxZoLryALJJHnK0LNJkxvQkwFlhIgK4F/JBz3+ifAPYOTFiLkKlPNHs7se+G66dqRGFwXddPRpc7UIYvS6iLkAWHjx0NPQxqS84DcSUUfAeGjNUHhozde2DI2LcODBlrOzBk7LXVa+THh4QWEBRcVDukWtFBJPSK/BNBPyFKi7bAZ22XTCgv29hHSEa5Lh7H6lNFbTHiYbsCruE8aosZUSlfIWuv4V1Wjj0rWTA7Pm43kP7msDMI94RyC8DOVNufwH2IysjtrfchErp5XXn1th5rVwg52tEM5L+uVW6p0ONd422Hd423rdg13jZ513jbAG3Q2zR0rrbqUBQ/7o+JOQ7sNJyqIUIYHQJWNp6ddlM5l1+FhDp7EvtVrbzqiiQ2yK6i+v7RGHnlSidgR9b3V5/FS9mAlqBjlaINJcfpGIQneL3X6tjqiPn+USoxTkevf+pWIN5pqnfzHAFB+BinN/adkr+x75SMjX2nzNzYd8q9QRZHh0DDsdlQWoGuppTeB+wAdWl+kfVhJMPwBITE8snjuEIFVwH9XR5YICRZCFVHpHZBlnz/c+TVzcBrrr9fQ9J4eiMK+ERrfURrfRRhFfsppS4BamqtN2qtNfC6x/ll1Xsz8LoWZAC1XfWczjVAfhBxwDlrBuqHH1UJt3dUeaorDSWUUhble3PgrySORkW1POPQQz/88OOcw0Ik80/M2ai8R//UekAS8GlRLWM7UB2PSfHmeTF5wL3IAuc5l4/Vh0DfDsPsQWXV2+mh6U2QbEU7MFiE9LGlJsU+kKSgJ6hnDNk5vhUXYYCh2gDDEKPj+4D3ut0yraxO+iMkdMWtfr+IKvR14TwK03LDqL/7F+AN4D7zpxZnKxLgWSRD2kiEIPTOJOgmU19p9nZiHaQthgC9yqowfFmCBWmLl5hONVibRisq0RbbLR3fXSmmWSz6A8PQB4G7cu4b/TOSwr3tjpsmLUXm9pcCG9oumVBWxrFPEH8YT8LgYqquLTZH2vd5Q165MB357u88S/Xfjyx+R2HQCmmXblNsdqba1iFrtMfbxNmjgM8Rb52KCIMnELPqiWYQNYFdu+Nt5WbwbJFkr4Xiv0qp41h4HYOoJs+l10L6xrYBv1u+B7q5Xr/feHba/b7qOfBk7HFE8eLdFqFqyauNy/ekVhTefS7hNYQsOivjdPiyhIZIwooPQgIch5CxsZjwXNM73a1MbQKkbuw7xYEoPm+4+uMxZe7UR69/6kqEd9h0JC/Uba5fmXHarhSRhtKJSqlgpM3vANAYrYAHEQ+4J4AFvVbHlkUwL3Pds9u/7my0RSeixv5Lcabk1cVa6x8BXM/1fJRpgMg/3fjedayB62/v4+XVW15dp3QNpdRNwA9a678qs4sffvzPozI+VxalsC3aBoD9rg6kD2z/txNHVRF66IcffpxbyIhKKURCBfp2WTm2zVm4xFQgFBiGUp1cx0oQBpvnxWxGDNrvjnxg+u1ISEJ1SntVANDpoemhiMpFAbehVDtk4VfuXCbiYfudyGbdbGuhnoyk1R7ESaPVtp8tHqU/WzxqIkJiDQBWdLtlWi0f1a1E9inci7SzMSnebdTf/WsV1fe/ghlAMKLWq1I0mTF9ALIImmjWKToGtMSrLe4dmJCHLPzrIyne1yLZJ8sLHUxC1DCP/364RhGy8Ct3gdZu6fgGwDvAfqW4D9QioG/rDyZeiIswANhx06T1yO8gEFFgRXrXteH6qb8jxJK32qUq2yKcf+TVCsSPp8rDqjs+br8A6Rs/RwjbCGDHjrTi7IJujAO+Bl4JyQyt5rqnG5suSvK5dm091t4NIbyWAs8AkVTQFlsk2Q2EYGgC3IniZaS93YK0xTrApTmPjTwM9AHWAPMaz06LLaPKZcCVYbPSw1yv6wMnch4ZVV7igUohunncBUArzrO2OPLKlSeA/wC3pn0T1eQsXGI6Mp6OQNoiePWNa3qnr3OVe6zX6tgopI3VRaK9SiF6/VM1gf8iJuy3a1QH4DhQrl9Kz1UjHwAeA6Y5tSURUfwNwr3JBG3X9E7Xa3qnj0JsAwYBS3qtjvUVTusODXeHDlZpFlakb/xqc3TyGbftU0WF5JVS6lOl1E4fj5sreQ1fnZ4u53hV1uXzuFIqFOkUx1dwPbmoUo8opbYopbb8+uv5Npfyw4+ToYKV8blyal3CmB34RxBHZxp66IcffpyTeBHxhqjSXd0e/VO7Iru16euWxX2LKF1yEWWLN5KQnd4XLXk623U/pRQGnR6aroC5iIHs4C0vx+xDFmjbM+eUWvgVI+Jhe2sk7f1GYMTGN2M1sAjoFXrYDEI2/4rTkX+2eNQsYAgSLrW22y3TSpgVr1415ldgE2dhUmz+1OK8C9Nyw6i/OxtZoD/p8v2qEhSbtAsR8BwnFXPeyiv2DkzYgiz8h/x8tMYAJKvZjV0/GV1qPh2+LOEOZAH1Ylb/xJeRtgjlEAbtlo4PAt5FSN1btw+Y/AfSFj2VgK0bvzbVAMliiCySjgFr2i6Z4Cts7COgQ9dPRjd4ZMt9iqo1Je6KqD58/W7PWWREpZgIERROGUT6GSARIYWecIQCvlWA7Ey15SPK1HrIJsOHyP823Lts67F2NyF6ALinqAaXAJdQsdIlHrgJiN09zrYeUZEcBO7CgzAAyHls5DGkX34XSGs8Oy2l8ew079/FR65nN5lalW3RHTZ33vWNyP/fCTxVlZWGL0voC9wBJGX1T8xB2uJhfNsJJeAiU62G80vX/ZQap6PXP+UmRJsBA5d3f/Z7pG/MzIxOKlMx13PVyE6I1dEqIH5j3ylOpE1Hgz6O9EPF4/Sa3umpiKH89cCnvVbHXuBZ38oeMw4i4aWebRGqgNiPXB4fgIRy/i1tsULySmt9nda6jY/HB8DPrtA8XM+/+Kjie6Chx+vLECbxe9ff3scpp97y6jqVazQFwoCvlFI5ruNZSqn6+IDWeo7WupPWutNFF13kq4gffpyzqEyoIPgOD3Qbs9/SsQGjolpyae0QDv2ex7SVuyrMNuiHH374cbaREZXyG0LsDOmycqzPOcCpokf/VCvi5/J/yEINZFK8deObsaWkq5vnxRQhipfqhpPn0HoVcGOHYXbvTnU4Ynj99JaXY1ZEPGI3XPWWuUCLeNheG9kBPg7ckTnXVuh6axEyB7wdD7WLG58tHvUWorhpCXze7ZZpYZTER0Bk7z5T6lG1yquWiLn3+bhAA/FhuxgYXIV1jgEaA0/sHxFThLQZ8OEF5EIyQib8p8hhrEfmyO08C4QvS2iNeK9kcHJBGYm0Ac+IB2/MQMLF7t8+YPLXrmNbESWgmzAIRZQwAOy4adJehEQ6AHzUdsmEO7zqdCsMohFfl2CqVnn1ReZc2/kUpuXGfGQhX2XEfsfH7RGIsnDW1hds25G1mKdZewnsTLVlIobX/wraERwImHgRBq3H2t2EaHXg1uwU2x9UgkhtkWSPdtW9AFEasn94MbF/vRmg3e24uG/MeWxkAaJ2eRH5Xc1pPDutOLTgwJOxexCDcTexX5VZWK9BCJNNVVTf/wxGXrnyEBKe/FDaN1G1q6LO8GUJQcj/fS8ShgcuItXl+VcCa3qn5yPjdD2rYSYhykFfqtSxiM1R7PLuz66LWD4uEOhAOW2x56qRFyGK6p+BwWv7pLmTTSwEApXiZnyM02t6p7+EhPaGA+t7rY713pVfBnSPWjeiBlWbPKA90k//M8mrCrAE8UbA9fyBjzIrgb5KqTouE/W+wEpXOOAxpVQXVwbAez3OL6veJcC9rqyDXYA/XPWc0jW01ju01vW01o211o2RgTZca12V6SP98OOcQEWhgiEBFmbc1QFT+xZOHvo9rwQB5sc741QAACAASURBVKnK8hNYfvjhxz8AzwIBwONVVN9jyOTOtm5Z3Imr/5VuRSavpdQFbmyeF/MNshgaYCngN2RR18r9fqeHpvdAiI3FQIrrcDOgJmVMiiMeLg6JCQPuzJxrc28QsvHN2J3Irqw7JOGK9sPtJbwzPls8agUSKnMhsKHbLdM8QyuXIer2KKrWlPh8DdNyYxXy/4hxqdDOCE1mTG+GqKPe3D8iZq3rcATwXc59o32GEuwdmFCEzJerHTkWGu0a2osXaeHLEjwJ0duz+ie6VX+dgM05D8T5nAy0Wzr+QYS4mLp9wOT33Mezb57oJgx6G1ane1JQYpG246ZJh4DuyG/o7bZLJnhmwstGlBL9qUIVYMTD9guBKzhP22JGVEoekkhgQJeVY1tUVL4iuEzaX0AECRNch32GU3shBdhsFBqpqkBtoTRh8CwuQjQ7xeY2Mu+EED3bfFXYIsneFHgT8dl6ZPc4m2ebXQRYdaDujQgeSrTFnMdGOpE+Pgn4N/B249lpnkrJj4BeYbPSQ6l6FeDW5XtST1RRff9rsCNZMB+uovpiED+oYVn9Ewu6fjI6FEngUmZbXNM7PQshPAdbDed3QNurPx7TyP1+9PqnohHl6gJE5QrSfgIpY5zuuWqkFSGp6gG3re2T5tkvu5WA7nG6jXcY75re6e8jxH0jYEOv1bHNPd7+CJnbXIe0RRP4razPdwr4W8fpMyWvpgDXK6X2ILK1KQBKqU5KqZcAtNZHkH/kZtdjsusYyI//JYT13IcYoJVZLzJZ2u8qPxfXRPM0r+GHH36Ug8qECnqGAJaX0c8XAeZWZfnx10ApdYFS6hOl1B7Xcx0fZToopTYqpbKVUtuVUnf9Hffqhx9/JTKiUnYjHhaPd1k59owySfTon3oxorb6GNlJBVkAh1L+Ag1ksrtWObgDU4NLYdDpoemXAW8j85j7trwc41aBuNUFZdU7DlnoxWTOtX3m4/1FwLXKoX9AwrZKGRF+tnjURoQ0APis2y3T3OnCtyJk1Q3IpPj48u+fqwrvi67I5Pq8HByM+rs14q3Shgoyq1WEJjOmK6RNFQKjPN7yGablib0DE1xkquqbWxBwAFdbDF+WYCA+RWHAHVn9Ew8BNJ6XWgO4sqx62y0dH4kQF58i4TfeWAQYQaGFVyC2H229C+y4adJRZHN6BfBi2yUTxrZdMkG5VBLLgOsdpnJHW1QFYeBu6+cleeXCC0j7qYosmA8iHkEjt75QbKLeyVX/zrJO2plqcyBkamjg3qCaaMKbLkpqANB6rP0hYCgwNTvF9q7HaZHAzt3xtlIT2BZJ9moI+aqB23aPs+V6FdmK9LVuJWCptpjz2Eid89jIBIQAuQ34qPHstBqut5ch6r+eVFHygOjmcQHId3fetsWRV67cBqwGhqd9ExVwJnWFL0u4HHgaeD+rf+IK1+H2gIWKx+kUYJNFmQNcbkc3AESvf6oEIbq8+7NuQrQiFWAy0Bt4dG2ftBIKxI19p2hk7L8e9H5EWdrIu4I1vdNXI4k1qiEEVkfXW18giQ76I23xl/92fb584+LKoSvw3ebo5PJUtmcNZ0Reaa1/01r30Vo3dz0fcR3forX+t0e5V7TWzVyPeR7Ht7hCEJtqrZ90ZQQsr16ttX7CVb6t1nrL6V7D63M01lofPpPvwg8/ziVUJlSwQe2QEt5R5WX0O1RGPWUd9+OsYAywSmvdHNndH+OjTC5wr9a6NdAPmKGUqhKJth9+/MMxPXCt+qPWaGNLv9bjShlDnwJSkQxtw9YtK1agVEZdwOZ5MSZwvwLTks9xtL6x00PTg4D3cHkEbXk55k+PUyIRf6yvveuKeNjeH8kc+AbiF+ILiwAVkKvdtgulFmkAny0etROZrB4GPu12y7To1avGmMgiLUpXvUH2Fy4S53zFW9/9UWP7VbMfeqPVWPu9rcfay8xoVQFuRnbkJ+wfESMk02tT6yCKvYoWaCAhNWuO5wU1cDpV566fjL4YWfDdCNiy+id+7lE2HFHilVqgtVs6/iKkDf8EDN4+YLLDu0z2zRN3AtmGwW3IJrXPtrjjpkknXJ/rTWTRl952yQQDaYvVTziC3P5MVaUCdFC5DGHnJDKiUn7WJi/nr79gQPth9uc7DLNfeDr1dHzcfiEiRPgMUaW4EQF8tSOtOJzZJ3am2r4FRhv5xhWW3ywA/VuPtXdGyLVPEKIegBbJdkUZ4dQtkuwKmIOQw//aPc6237uMK3RwIdBLo/cBVzZPsVt93VfOYyPtSIRQD2B149lpFwHrgVyNHoCoVquiLXZExpXzlrxyYfqXPzUqeHH7tV82XZjc4QzqsbuebR7HfJq1e2NN73Q3mRocYDhzQd8Yvf6pEoTo8u7PehKikciGTI53XT1XjbwT2ViYvbZP2qtlXHIhsrnk9i3y2Teu6Z2+BbgWyAfW9Vod23NljxlFyEZaf62rZpyOXB6vkL7xb2uLZ6q88sMPP85BVCarYG6ho0TYX3kZ/cpTZfnxl+FmJOUwrudbvAtorXdrrfe4/j6EyPv9Rn9+nA9YH7LM8idFXAls6td63Af9Wo9rfyoV9Oif2g2Z1E5btyxut8dbnZAQq90+T/TA5nkxB4GnDJPqRhFdtajMOwP3bnk55huv4pFAVuYcWwkyIOJhezNkgfgV8GjmXJtPImjjm7G7ga2WQnogi3Sfk2KAzxaPOoBMjHcBS7rdMm0wQhjUxlAtqBqz9ouQMI7zeoFm1N9d0O/NIYtOFAVerKSvzm491j6o9Vh7pefsTWZMD0XCqXZSkrws06zdG3sHJpjAA0DRH7nBqtBhxAMTkVDU572K+1QXtFs63h0ScxFw2/YBk8vbKF4EXAt6D+W0xR03TXJ7xM1EFp/zipzGeqDAYRrXuopVhfKqK5CVObe0eud8wok1F001T1gvQaJdDnQYZp/UYZj9VDe1koHawBNbX5D+qO1Iu4EQBpUhUgFmafTqgP8L1OpP426EED0EDM5OsXlOWJsAF+CbdCz2Ddw9zrbCx/tuLAIMbaU6EAQ0L6tgzmMjX0eSDbQBPtMWXQ9RGLp9r6qqLcJ53jdu/vnyZVm/XG6a2ugAbG26MPmdpguTW1V4ogfClyX0Q9Ryz2T1T/Q0Zu+EkDuHfJ7ogTW903cpRZzF0KEWZV6vNfOQ///g5d2f9SZEI4HNmdFJJcbhnqtGlkikUs7l3ErALq7XZfaNa3qn70IUo98DK3qtjr0ZCR28FFHLVkVbbOSqz09e+eGHH/8cVEYRdTS3qJRvVVkZ/cpTZfnxl+Filw8grud65RVWSnVG4vT3/QX35ocffysyolI0VmMQQRaHtqgsJFRuW7/W497p13pchZNjD5P275CFmic6AVkb34ytlOmzcvKqhi+NQpTS3AMkb3k55r+eZSIesVuR3fgSC7SIh+3VkHBFE7gtc26pkBhvLFLQGa3LVLu48dniUT8joTBfAAuKqhmNAQdKXU7VqAv8YVouaIua6gwiyxnAb1q8e94CtrUea7+19dhSRv6+EA9czkmTdjfcKsCsytzH3oEJB7VWcUUOK7kFgU+4zns0q3+iNyEaCRzMeSDO20crBVdIzPYBkyu65iJAWaymATRv/NrUMne3dtw0yUSM4scD9+YVBr6hNeu1hP44OUNfl4iH7UHIZzrv2+LO1JiDZiDPOINAK7Yi3/mBDsPs4zoMs9eo6PyOj9s7Iz5Fz219wbbD462mQC3KThzgdR82U1vUUDSOoP1B3bXWdYHbslNs3v9rn0RqiyS7L99An9g/XDwBtVW7ff7K7RtzHhu5FAlprQ9s0OgsVHEisapSAeYs35NaIbFyLmNRz7laKe5CaQ16M+K5uLPpwuQFTRcmV+jL5mHSvhsJz/ZEmWbtvlDkNJ43NTuthmnVYpo+bnn3Z1d6lolYPq4a4qNVoi32XDWyRCKVtX3SylQeukIHFypFd9AlMgP7wpre6d8D3RC/t/eLnEYt11uXcY74UvqUQfrhhx/nNy6tHVJhdkEomU2wPLjfn7ZyF4d+z+PS2iGMimpZ4Xl+nBquu+46fvqpeGOltVLK7SMxroxTfMKV5fUN4D6tdZkLbqXUI8AjAJdffvmp37AffvyDsDJz0q6oiAnTCbCM1hbdVxU6uyE7orf3az3uLWDSiuykstRTTyCTytvWLYsrNtS9+l/pAYhZu7dSBYAud0+vjuzYtnM/DK3bKVPVMi0a06J+RBaL3miNhJEUT4ojHrYrxOOzDdAvc67tQCU+9tvAFOUkT1vLnxQDfLZ41B/dbpnWD1iIoaZpRQ5aN6Tq1AWFVF6Jcc5i13ibs+Vk+5PayhdOCy9b83kGUT29D2S1HmsfDyzLTimtqmsyY3oLJBTljf0jYtZ7vd0JOJBz3+hS5E7j16dYEeWbuy22lWfL5YbVBCuF+QXWYV/fOtHX5CCS0qqrgcBI4PntAya/5uOcEsi+eeLu1h9M3GoJcIY5HRYD8dAqk/DacdMkDTzTdsmEw8DzBQ7rfovSF2rNL3MjXzvT7IDhiOLmvCevXEjF4D5nMBdZ8ohU0iclAiM6DLOnAs9vm1maKO/4uN2C9H0/Ie3XE2WGUzefYleIuqNdiUdNrjAKldUoNIsMp1qYnWLb6uNeI5HQqWIfrRZJ9hK+gbvHVSp75CIMJmm0U6Haus4vEzmPjfys8ey0HsBKDJ7i5C/zjPrG6OZx7jCtVWdSz7mCvQMTtjZ7O/E/KP2o1ro32ogGhgF3NV2Y/AYwed+g+LLGvpFI2HSUR6IJun4yujrS37zr66SI5eNqUtwfup8D2iqoGWwt1Fan+s40iv25PdEBEQoV9409V430TKTSa22ftMoQkosQr8DfqYC8AljTO/23XqtjrwPe16gZWuvvgQZU3Th9DPGD+1vgJ6/88MOPEli89QdyC0tZUpSJyvpW3dKxgZ+sOsv49NNPi/9WSmVrrTt5vP5ZKXWJ1vpHFzn1i686lFI1EZlxgtY6o7zraa3nIP4RdOrU6Xz2qPHj3EEiMARDpepgayeV73gWIQKGAXf1az3udeCZFdlJxZPjHv1TL0EyEK1AdvU90QoI0pDZ5e7pzSm5GGuLqA/cOIbW2cBvSutahpNsM5DWKHUnEnrlCV/qghFIVqL4zLm2jyvzYTe+GXvg6n+lf2kppKHDyqXth9trffVcsZmyT3y2eFRet1um3Q7MNa3cj6kxA4yqCK3qCmQa9XfnV0Fd//PYNd62seVk+ysoYhwhtLPm0QYYghAHHwJfth5rfxr41E1iuUzaZyKL9zgf1UYAWxq/PqUe3sSAq626yjm05lvgF0zjMqdT/Zyrg+oYFp5ClHfFaDwvtS6yEPuP+1i7pePbAK+4ysacwsdeZLGa7kVgWyqhENtx06TZbZdMOOJwGm9YlUmRaVSVITH4ySsAdqba8trE2YcDS50h9NyZarupwzB7Z6TfSwViOwyzJwNzts20ef5+/42QVP/a+oLtT69qOwH5hTXIaT7F3pkSxADtkNA/N75Dc9AoIk+ZBCttHFQmN7aJs9femWr73aveSGDb7nhbEUCLJHsQQkqEAj13jyt1H2VhEYrJiIqvQsIAIOexkV81np3WFcUnoGujUagzVruE4VJ0nWE95xISgIFKkYQyu2vTsCNZVR8H7m66MPllIGnfoPj/c58QviyhMbKR+25W/0Tv8bEDYGhNVsTycS0p3Tc29ij7B+hsBUeBmoVOa7bV0G2USX9k7uwJX0lV3IlUhq3tk/Y5lcDGvlN2Xv3xmK+R0NtLuqwcG5gRlVKuT9ya3unHe62OHQC8bmo1EMA0OVaZ61WArkDG5ujkquhnTwv+sEE//PCjGG6j9qO5RSWO1w4JoE6o7+Qeft+q/xksQYxFcT1/4F1AKRWISJlf11q/8xfemx9+/COwMnPScWSx3QF4dEV20m8rspPGID4qzyF+Kbv7tR73n36tx7nDQlKR7FLD1y2L09fenlbr2tvTul17e9qTyqHtAFrxEhKq8C4y8XarSp5G/OjC0DocqIlMlEc6g1R7lNoGpEY8Yg/1utVIZBd2L0DEw/aewDTk9+trB7g8LDIc+lLX360rc8Jni0c5ikLVjKIAvv8luq7eO7re8LBXUwaFzU+pTEhbKZg/tQhGFrP+BVpJjEFCS2Y6QnBmp9heQ7JXPoIoUz4G1rYea3dnhLwVCV96ev+ImJ8avTQtoNFL09o1emnaPY1eSn1OaxqBGY2Ej3yChFH1RTYznkO8pDpop7oQp7EFp9EJrZahjSsNC1OBgU0XJnfzukf3JslmgHZLx7tDYo4Bd24fMLncRZYXFilDA9qBKAgrhRMngj7Nyw98/7ujNfVnmVfWb/x82nNhM9Orn8J1vdEV2J8511YVSoVzAjtTbR8ipOnENnH2Bttm2jZtm2nrh4QofYN4rO3pMMz+aIdh9sCOj9vrIuF5a4GFV0ywqysm2BtdMcF+0xUT7E+bBneaFjCDOAp8ifj7PYT0pe8CTyLh23UCjvN0wAk6Wwo5ajjpYjgYiJihP+15jy2S7RZENedJ6j8HXIUorrx9A8vE/uHiCYgFK5UkrwCUU+XgZDpOzBq7LNTabnkvfKi9TM+sSsBPpHph78CEowhZ1RW4Z9+g+J/3DYqPQTaD5iCZLfc2XZj8XNOFyZe4TrMjhuoxAOHLEmqHL0voEb4sYXiR05gCUOC0LAK+RVR2YxGVVgYnCadGBvoai+IiQ9HAUDwWYnWEK8UuYHqv1bGBXrcaCfyQGZ30I0DPVSM9E6n4VGOXg4VI6J8VGQMqxJre6QVOraY7nOrXQ3/U0N/8WD+h2aKkW5suTD6tcTpyeXwt5Lfwt7ZFP3nlhx9+FKMso/ZqQVYmDGjt963638YU4Hql1B7getdrlFKdlFIvucoMRCaL9yultrkeZ5LRxQ8//hfxLhKikRgVMaEewIrspJ9XZCeVmhxf13ni+8Dd2iDDGWKkXnt72gGEVFoPzFROrnIqNPCy65xOQPWM+TFXZMyPGZgxPyYxY37MErS+Allw1QeiMhbEpm95OcaJ+Po0RNRfnogEtmTOsemIh+0Nkcn2HuD+sgzay8E7xkmxbYWLtC5D0lt1GZL+DkptK6odUDO/fqjSViMAK29hsj1sfkr0aZBYEYjHnn+B5oFd422/ImRnH+AOgOwUW1F2im0uYiL9pOt5Xav46avQeq5W+pCzmrNTo5embQNOIMb9rwNDpSmyDTE67wPUy7l3zKU5947pl3PvmLice8fM1w7jN7T6FLgfUdbcfPDBuD8QkvZ74NmmC5M9JwORyKIws93S8QayMGsM3LF9wORT8ujJvnlijlJ8qQxdRCXaYpO3kms3eSt5EnDA4bAM/OHwBUVOpZQy1TCN/iFsZnpM2Mz0U9phc4Xf/q3ZtP7BeApZPKe5D2ybaft820xbL6Q9fQfMBnZpxVINNQtq8UPeRawFjiAZ1z4AJjuCuKiwOkeQxfxtCFFQc88Y29V7xtiG7hljez7gOBkBx5mIJC74Auj0daIta2eqbSsSIj28TZzdcxJ6JVANF3nVIsn+b4TonbJ7nO390/i8i7ShLwCaNE+xl0uGhs1KN8JmpQ8CshVqppFn/K4tCqNIhWvY1XGo/eXwofZGp3EPXYE/gezTOPdcxqsI6Zna7O3E2gD7BsX/sG9Q/BNIn/g6osTad+V7kxYjSYoygOfDlyUcRJRTa4FnHabRsdCpNJK98n6EAK2eGZ3UOjM6aXBmdFJyZnTShxalI5TiS2STqdemfsn/WXddWhHSn7ZA+mNPFIdT91w1skQilbV90k51nF6EZHSFSvSN3VeN6tB91agPQGU4tCWg0GlVWqsgrdX7oDc3XZjc+xSvD2Iar/CTV3744cc/BWWFAB76Pa/cbIJ+/POhtf5Na91Ha93c9XzEdXyL1vrfrr/na60DtNYdPB7b/t4798OPvxYrMydpZBJaDS8V04rspB9WZCcVT47zLgkeYBrgDFTdkIXTJmSX9kagYWFNNUYHKWUGqUkZ82PmZcyPycyYH1Pc0XYZkq66DEkfg2Tu+w7olLEgtjj+N3OObT1CTI2OeMTeECDiEXswMnndHPGwPRjJuhUM3Jo5t9IhMcXY+Gbs98rkM8TfrsxJcZch6S26DElfgHjJRAHPOEPUDQFHLVTbEaith6y5OGnl+iyfh81P6XUKt+E2a/+i3FLnJ/6DZJyyt5x8cgGdnWIryE6xPY8QqrFF9QqvItCsbQabl6L09Yi/iR0JNWxjhDhaGEGmYQTq13PuHTMj594xq3PuHVPCYL3RK6nXIgbaVwK3HnwwbsLBB+NMgH2D4nMRErUjkoXQjUhgV84DcX8iRNuNwIjtAyaf7gJnocVihoDuWFaBJm8l12jyVvI44AASRrkSaKss6rCq4UCHOr7HomsC6Rq9L2xm+hNhM9ODyqrPC02R7Ih+8soLO1Nt+5E+cVCbOHuJ3/e2mbbVSEbSaKeVE0WhhDtCsTgDuQUhphchZEJXoKah2GktYvueMbZJe8bY/rtnjG3fnjEnvahaJdgvQpSFTwEzgL5fJ9o822sCkEtJ4+3icOoWSfbOiLrlE1fZ08EifXKl7FOVGjYrXYXNSr8NISXeAoqA25VWrxXURufW54AzFAU8oGFP+FD7rPCh9kt91VUGugIbl+9J/dvCtP6JcGVDfRz5rU72fG/foPiD+wbFPwy0BN4JCS5wZX7UPRGS9AtEWdUfaBASUJQUZDVVSIBjXGZ00muZ0UlbM6OTisNfO6+INzqviJ+MeA5+DXTa1C+5OORvTe/05ci4N6HX6th6ABHLx9VG5gmbe64aWSKRyto+aRUlUimFjX2niBIQrSlnnO6+alTr7qtGvSNl6Q4koNTAkOAi6tQ84QgKKsxXio7AqqYLk1c3XZjctay6fOAa12f48lTvvyrhJ6/88MOPYpQVAug+XlY2QT/88MOPcwkrMyd9iyz8H4iKmHC19/srspMOHg2/cKKjZqA1t56l6PhlloJjDS3jP39v5F2fvzcy+fP3Rn70+Xsjv0cpN1FVqnPtMiS9OrKgS0EIqmsyFsT6MpqNQ3Y7p7ped0DUD5uRkJhI4L7MubZvT/fzKlhkODAw9VU+7jOsy5D0eUho0C2IAicsY0HseG1VDmWCgVLBP1onBx0I+tb6k9XEpBWwOmx+yqqw+SnXeNfpA12BPUb93T69+M5n7BpvcyIJARrgYxGenWLLy06xTXfUNY9Rq8Co2+B36jX4fUm9BkcHHPz3qNEH/z3qzYP/HpWtDI67TinVFhu9kqoavZL6GLAG+AO46uCDcd7+bSDtdQOQ3HRhcq3G81IVLnVBu6Xjb0BMuV9HFAyni3eURWtQ9Rq/NtXT94gmbyVXa/JW8iiEtEpEFI4d9w+Ov3P/4PhsZF1znEBzO6HmPB3iAINAYBawO2xm+kNhM9N9eyCchD9Mq3xMRb7/WW3i7CW+y20zbXrbTNuKwtqsdVYjML8OpjOEfY5Q7vp2ku3RbyfZZn87yfbFt5Nsx4A8fLRFgFYJ9nDEJ+hq4N6vE222rxNtJcxYd6bafkFIi/5t4uz9XYcjgT/RHEVI/R+BwbvH2U6L+Nk/PDYHA/cGXgnCwEVa3YiQve8BAcBgoP2BJ2PfV0qFYFCgA7m0sAaPFNSl0BlMvoahwL7wofb08KH2crM+RzePq42QZv626AN7ByZkIeT+E83eTmzv/f6+QfH7LqpzLDnQqq2h1oKiuqEn8i6qdnx0Vv/EwVn9E6dk9U9cntU/8ZBSlDlOd14RXwtRCz4NzAN6bOqX/L2P24lBfNUSXa9d4dR6MycTqQxe2yetMolUfEIpt/pKd/Z+r/uqUS26rxq1ADFSjwKeAcLW95mWBApDaQwDa/WQgvhq1fIPBAUVOkFHAJ83XZi8rOnC5IhK3EJX4KvN0clV4Z112vCTV3744UcxRkW19IcG+uGHH34IngF+AJ6Piphg8X5Tu8K4tEW9g6EygUXtR9jj24+we4bM+ZwUdxmS3gTZ/b0d8e4YnLEg9gQ+kDnHdhAhjAZHPGK/Fre6QNMMSUGfnDnX9t/T/pSCdw0HGkWb9sPl/rsMSW/YZUj6i4hX1yDE06ZJxoLYMRkLYt3Z6kJc9/KTYdJdadXF+of1w6C9QbUtRywZaNoAG8Lmp3wUNj/F5+TY/KmFQnZ0/Qu0MrBrvG0jsnCKaTnZXsrvJGx+SmNQ9Y0AfdSw6BQkVGpZ5PL42h7FfLbFRq+kBiF+Qy8gSpfOBx+M+9rXfewbFK8RJUxdZDHXAKhvWMwDSEjMNuDR7QMmn3YCj+ybJ/5gGNodItUWoMlbycFN3koeAexDfgubgc77B8ffvH9wvKc6OATYqxTXYTFHYGUEoc46Oth5QKOPIovIr8Nmpg8Jm5le6jftQlck9Nfnd3C+Y2eqLQ9pA62A4WUUi9YKMHgCRWPgy2ZT7Z28yvgkr1ol2IcgfYEBXPt1ou2Ncm5nJhIuPd1FpEWiyUL8geoCt+4eZyuVWfOUoHhDo9FKd4Ni0qovsBFYCtRCfETbHHgyduGBJ2Pd6rEQrfgTCDKDOKYtdC+qxbGCCyk0LXyBJNjYHz7UnhQ+1F6njKtfzT8gTOsfjgQkJPX5Zm8n+ghX13cBKEPPU4pvgQ+i1o0YEbVuRIXjdOcV8VcgKqN+iBr7oU39kn0mFFnTO30X0h7/3Wt1bEdc43S1gMJIZPwct7ZPWqUSqZQDd8bLYlVq91WjmnRfNepVvDaX1veZNn59n2nuZAauz6WPGIouShEZGOhcVb16fs2AAMcG0FcBW5ouTP5v04XJPlVdkcvjrUjY4N/eFv3klR9++FEMf2igH3744YfAw7y9I7Jb7o3BskBTW4DrgDeBJOCV9iPsbuPWUpPiLkPS+yKqgoZA/4wFsakZC2IrWuynIkTaDGSB9huyw/sxEjZ1Rtj4ZuzPytS7LHncrgAAIABJREFUUSrYesLs0GVI+kzEDP4B4EWgacaC2JiMBbHembNCXCuAVcD1gX9iAW5VWiUG/BrQJWhv0H4cJCKT3i1h81PeC5uf4m3E3Rx/mFZlMAbxsJrZcrLde5F2B4Cy6H2bo5PjEX+1HsCGyOXxYa4y7kVXcVts9EpqA2AdYpSdBNx08ME47+xtJbBvUHwmQqQNVxbzJoDgagVDACdw2/YBk88486QyzDcBDIszuslbyY8jpJUd8f25dv/g+Oj9g+M3+zg1xFUmUCluzLl/9LMo+hGga1PdeZm2muOQ73A+sD1sZvrtYTPTvddCXYGNmXNPhrD5URI7U21LkcxqE9vElQyBu2KSvZmCJtoAw+RdhJjOB9Y3m2q/1aNoCfKqVYLd2irBno78bzYBEV8n2jyztPm6j0LEb6ilFiKtPRLu3RN4ZPc429Yz/KigWORaLXcLm5XeE1H7rQQuQTYPrjjwZOzrB56M9U7THYLiDyR89/ZvJts2AZHays6CuvQuqM0sLeRXPHAgfKj96fCh9ppedVyD/K7+1jCtfzL2Dkw4gvSNXZGEE94YrNAopbYgfeJipC+ZFbVuhNVVptQ43XlF/E1IO7wA6LOpX/Lzm/olVzROu7NTzgAdCfoHQzJWnk4ilVLY2HfKAeD/QNW+9pO4Nt1XjZoD7ALukmvSZH2faWPW95nmTdiGKBkxPgVuCLY68oEblGJ6cHBR1+rV83eATgF6A181XZj8VtOFyd6qhXbIb+tvH6etFRfxww8/ThdKqQsQmX1jxKhyoNb6qFeZDojBZU1kkErSWi/6a+/0JG7p2MBPVvnhhx9+CN5BiKukqIgJ76zMnPQrwFX3TG+o4CqnzKJ++GqGLb/9CPvdiEppIhDWfoT9tkCPSXGXIekKGIlMYr8GbslYELuvMjeROcd2IuIRexywAM1lyCTyEPCvzLnlh8RcMzDd4ipfvbyHCuZXS55uac1nk+vUeUBixoLY78qp3q28Wo5iCHDjN8/Y5gNPX/m0fbsy1WvB+4IvM4PNWwsbFfZCyMBbw+anvAVMOnD32N34w7QqhV3jbb+0nGx/Gtndvx1JLODGQKV0gWFI9snN0cnzIpfHH0B8Vr6MXB5/8/7ByRubvJVcgOt/1uiV1K6uOmoAdxx8MO69U7idccCdymratFNpS4AzDOi3fcDknPJOav5OonJdv9y2qLURAk4wiEXWKhuAu/cPjl9TVt1h81MsiLfSPiRc7HbgzZz7R3/S+NWpnVEsIcScrLU5guOWnxVqkuvzbw2bmf40sOyC7UYdRFH05il8F+crnkKIwjQkC6sbdwKgKAB+2zvadrjZVHsXhDR4r9lU+2ggLcCDvGqVYK+LqKX6ICGeMV8n2kqmvS4byxAyaSImASgigVm7x5Wr2AKg8QtpgVTQFrFSHUWuDiIMCas9hITxvnzgydiCcqoPQcLRPgXua5FkD9092XboyvH2HsCLZhDD8y/mvaDf6GI4GIMQH0+FD7VPBZ7PetGWi/SN25bvSfWpyvWjGPMQIjG12duJH+wdmPAHQJeVY68AdYVhOAG+X9ljxomodSPuQMbgUUCTqHUj7oLA4nG684p4A1GVTkRCQm/d1C/5/ypzE2t6p//ea3VsAvAfq+E8ilahuBKpVGTQHrk8vqxxuobnawW/WAyzoVJ6G7Jm/A+Qsr7PtPKSY4QAKFiqJTFT1LYbnlkMxHb46OntSjGnRo38hg6HEZ2XF3QD8tse2HRh8uvA5H2D4g/wDxqn/eSVH36cXYwBVmmtpyilxrhej/Yqkwvcq7Xeo5S6FMhUSq3UWpe7++mHH3744cfZxcrMSToqYsKTwHbEm+rfrrduBzAl8Oh7gK9m2DQwqf0I+17gFSDDtDLRcACmroMsiAchC+YHMhbEHqccuML3aiLhLxcSxO+WAvaDbqKKMAPz9VplMvmagellTnRdjwqzrWkln8VaoMHUFsPBq0ozasO7I/+o4FSZFDvZrA1+QBRA8wG+ecb2zpVP2/cAHxj5xsrgXcEP5LfMb4IQeMOBu8Lmp7y+9KoLQlvVOHIE2UH2o3z8B1FJ2VtOti/fNd52QkIGiTSspgNXWwTYHJ28NnJ5/NWIQmZN5PL4+6B6LhDS6JXUoQgJ9h1w/cEH43ZWdOHwZQkhwIVA3Vo1qXsiN2iJw2EZoqwmhUXWtaZpDGj+TuJgKiIDTmbMKgMaq9VJYC0njiLDqlHbDUM/uuv28RXdY7DrORch7R4Mm59S7cDdY0/k3D96b+NXp3YB5qOYSQ3nXF2kwlW+5Q5kkfohkJF7iflhyI8KhfrbF2j/dOxMte1rE2efCoxvE2efszPVttb11p0afkPx++5xkvl072jbz82m2nsjGeJSgRYa8hSEtEqwt0eIrUuBB79OtM2r6Notn7FbEUVMXWpQVxXxkSWfvpZ8KKhtHjJDtLPxC2lzqLgtVuR/hip0NVgnaIM/UIwB5h8YVqFaNgQh6N4DHkNCz97/ZrIt/8rx9vuRENu0ggtpDtwc8jNJCIGVCsSGPzx9Sj2Dq5TJS76r98ONvQMTzGZvJz6BhBNPQkIyAe4ErQ2lFa6+cWWPGSYQF7VuxB4kVHqDoczppjYwNXWRvuNmxLvv0U39kstVkrrCD2vhGqcDDA4VOo0fg62OS/IKrY7cwoANGjUlcnl8RW2xEllRNShwagNlmoZSag6osRuun1ruXMJdt2GY65ym5QgyTi8G2HbDM691+OjpXcB/rVZzZY0aeXcfOxbSBFmrPg7c3XRh8ku1qqtLLRb9f5ujK0fknU0orU87LL1SqhJXufs4aTKZqLV+zXU8AunIQhDm/CmttS6rXqWUQjwX+iOD0/1a66zTuYbrvWFIDKsD+EhrHVfRZ+7UqZPesqVcFasf5zGUUpla604er3cBPbXWPyqlLgHWaq3LNZBSSn0F3KG13lNeOX9b9KM8eLfFsw1/e/SjPPzV7bGqERUxIRXZqb16ZeakjKvumf6FVoQ5QlT9gOPmYsNkP/Cz+1FQU9V3BpOunFgDTuiaRiH7gTBtkFZQW72LUkJIyYTX/fD1+uQmowajUKM02jiuVaCDfOAYcPxMHoXVVGMzgLmWQl1fmRiWPL3R0HQBfkUmsK9veHekzxCqjo/bHwbmAA1Ni07SigEo9Q4GXyAhF7uKqlMXIey6ITveCfkt8+sCo9H6iUDTtF6VdezI/u8vegYJP/z68/dGnv7k9BxHy8l2tz/YlF3jbWPD5qeMAlKtQUWm6TR2OAutG5BQpZ+BnwMCHPm1auVOVorOvx2tdsxZaPkB07gC9NoadXLHBwY5A6m4HdZFzIiL4XBCYWEApgka5QDjjNuiUqayWs00pbhOrqL/z+m0VEMWh7OAid/eNt7nxl7Y/JS6SJsdDno3sARDf6GUWoKEXW01CywFiJddPPA5cLs6Zj0K3Ad6AqjLqgfmOoMa5E1TFlYCGzdHJ5enrjmv0SbOHoKoSHOBDo5qNAZ2m4b+QRsqGIPFnOwXf9LwC4qBKB6z5PO9clBHaQzgd20wQgfwIxW3w7qAp5cbWoFyahyBWjura7CcWTsEjqM5FvCHcY/WJOgAFBYwA/R2FO2QUNthB4bF7ijru2mWav8MKDKK6KvRvyjNr0qrRUi/uGnX07Zfrhxvj0IUZw7gjm8m29aFD7V31ehEheqpdZEz92K9oeiCgFnAmv22mMOn9586P9Ds7cTZiN9fx70DE7Z3WTl2B+g6gVZng9zCgHc06js82mONwPzGgRbnNKepnPnOgDpFTstB4DJD6eSaQfkfKVVhO6yLkKjF47TWUOi0YJroXIdVKSx5nFrb89mPWg1nS2COUxsXaq0MpcwvAiz6GsROYCSwaMP1U32Om9d+GhcDpAO1HU7jFa1VN4fmHTAykL5xr9M0LkHCGyMR5VnSsWMhlwDxoIcaSiut9a+OogD3OL07554xf8s4fabkVSpwxENVUkdrPdqrzAWIt0MnQCMSvAgXGbUJkaZlIMTSc1rr5WXVq5TqDwxDyKurgGe11led5jV6IbLnG7TWBUqpelrrCrPc+BdofpQHH+TV71rr2h6vj2qtyzJmRCnVGXgNaK0lbbn3+48gHTOXX355xMGDB6v0/v04d+Anr/z4J+EcIK9qAN8CP/3Rosbt2moccARRpC0YAX/qgwbUx2txb1qgoLoi4ITGMKGwhsIM9Ck6cSI+GYddj9J/a/40iohT0EUVaac1XyulVGTG/JisM/lc4UPtdwKvYeo/rUVcbBRqDAdjlKk/RciCLsj8adiGd0eW+oF3fNw+HHgWU9eznuCLomo0M4PJRSn3d/EnsFnDFkcIHbHQF/go4Jjz7ks+P/5QUXUSjzcLCg7+2WqagcrtPfQTsBqZIK/+/L2ROWfyGc9FtJxsfxUJ1Wpb2CRvvmHoK6rXzKv+59GQ77S2VEcWVB7QVK+eT36BlaK8QIKrFRJavQDlWwP1O2W1Q9fD4VS9QA3TGhxOBRiTvrl1wsQz+UytP5jYDFiCeKAdA42h2F3ksNyA+LsNRcipMcBr3942vsQcKWx+SkNESfawJdDRUJuM19o4Aaqaq4gDycT1pVmkwFT3S33q5nr1/6ilTV7KOxbUNLBGIYbSphJf4DyE5FqFtMmszdHJp5W57lxFmzj7zYiKI9ZRjWAgqbCaxnDwu9IqD6gHlDDH1wCmxpovqiYzQJWlx8ulnHYI/GZaqK0teqpW1NAWna8D9C6Fitw/vJQHVaXRIskejHj93Wta9T5t0EgHYNVKX4bBjUAyQqg+D0w4MCy2FKHaLNW+BfjZDNAJOMmy5uNUWomNvSAH2ITJfuXkX8ClCobnNS38AHjBelTdbDoMdIAqUqZyK8S2cbJvXL/fFlOR4ua8QrO3Ey9AQve/ubDmiaFKkW01HA6U1nlFgd+Dqo+XwsmiTEIDCsgrCkSjqB5YQIDF516Nk3LaIXDY1JwoclrGaa06OrUqKnBYUUq139Qv+Zsz+VxdPxl9HzDH1Bx2mpZLXdTNk4FWZxYyTocjhOrwDddP3e59/rWfxo0DEhW6mtJ6T4FpvdRhGnmg3N/F78BmrckyteoMqhfwTrWAgocvrX7syQKHZfz+3y4MLHJanAV5ge7f8g+cbIurcu4Z4ysD41nBmZJXFapKlFKDXWWGul6/CKx1PdZora/4f/bePDyKauv+/5yqzgQIiPOMISQgihAEUVDAiICKQEBBBRUncLabMCUQQiBhSlLOgvOAM4PoVUBAUEGQyCCKQITAve91nhiEkHR37d8fuzs0IWG4+nu/r9xez9MPpIZT1dW76tRZZ+21q25XU7vhfUXktcjjhz9HeIw3gadEZOGRfOfoAC2Kqrj88sv54YcfAFi/fv1e1G8BlBx98XDJq3CsAzeLyIpDHTcai1EcDFHyKor/S/i7k1cAXVqN6Qu8vvv0hJn+urG9y+vgWq5ZvXqatzVA2+sL64hFBzQ1sAtwgutBMBhcSivqW09Q/Yvvzi8eqdkcOnWwUxt4F5GOJsgeK8h7tp9L0TSItium+454MJ06yLFQo/cxwHK7XH41Iu3tMuobyPn0zSFj2/UpsFAD3EnoAPQZIHPZjIzK2f+WdzvDgYkxf8hgI0wNxILrMSODtXgHaBPxOV/A43rAjRNidrm7Tln2xzHAOxXHxndx4+0416KreMzpqO/NZcBJocOUEnpBBhYvnZlxyInGox0puc5JwCY3xl0XOKPikoSECozHJRC0T9iUnv1Lw5cmxoKcg+F6oDvQ1LKDxMa7BCpMoE6d8nGWxQ8cOAD7bfWV4w/qNdT83ezhwEQR/umKqe+6Zh6YXkDzDb3G/Eepn83m5HRin4fXk0CWQVYYQ8KX14xtAdBkVm4qmup4MaoWuG9jenalafvZ0yckA5swcn9MXHCiCLtd19oqrunJ/rHYGqgnLojfEkCOO2GXZdtSGnDNv4COxkiepQqZtNCnWegw29H3tPCgbUNxt0OaOB/VOHeYY9C0y0v8teUnsUgM1MJYfu7cPML3dOMJjoVwMkIfoBdwsRiJdRNQNWk5r9sBs4wDiYFfN4327jnYsZMmOxcC8wSpwOJEsWU8NqMAb+n9Qx76T75Pcp5zMpo6dpEgkySG+8WiWGK4FEgsfcC39exHC49DFXyDQuc7Anhh632VlQZJmuysF2SDxHA8wgXGT23jmiQ7wKmoACMcj2chYIKIEUzF8YGyYD3X4PIae+yBCJssvzWQfc/Fdqi3WwC9D8KxuKLU6/uvVwkmvTn+duDperXL3o7xBHvG2X5XjPno47SCy1rNzTIgdYxey77AFSANLKPiPZCv6yfsfZYa+un5HR6q8V7vuCijHjBXhDZBMQFXrNcDrn0NSph3PAyz9wPQbsFwG7UrGAp86A9aRsScg/aNGcXd8gtD29yGEqrHEiJUl3WeVJkJ137hsPHASBvXawwPB1wLV8x95UHPEjQGw/F4ngi2ACKGeDuw84y6O+oCb/x7Z93rtpfVMv4Ku1OgwpOCxuJlqPoM1Nursp/eNmDEn6vyeRD8WfLqkKoSY0wGEC8i40N/j0ZnMpYAE0Xk8tDyS4DhInJ1Te0aY/4R2mdpaPkiVNLe8T84xlpgDpqDvBfIEJHqKpfsh+gALYqD4T9NGzTG1EXjdYKIvHU4x4rG4n8f3l7zLVPmb+K77WWcWj+BoV1SajTXj5JXUfxfwlFCXhlg4faUYzq6MZYVSDABy+UhT5lMA64PfZqiM7QfuBZfYjHMuHxqBWkNnLZiuu/nIzlm6mCnLupZdDGuTLIDjATS7QrigNeA+1dM9z16RG0Ocmqjdgp9gBftCplshK+AiZ49kgEUfvrmkJHh7dv1KaiHklz3o0qq0cC0ZTMyAi3vdnKAMTG75AcDW/0JnIAx61ZP8/aOPGZzrxMPtEDkQoSxVlmwXu0f/O/U+a6ip79u3J5gLTsOY/I+enfoaID2vQsMapwdJg86ov5foIOB8Evyx0tnZuw8ku9/tCAl17nPPbH8kUAdoc4xZT9UBO3dFXtiL0AJguvR62YBX2Jkdmx84C7g10DAagJm4Ja+WS8cyfGav5ttUMIzR4TXXDFdwLznumYYqkpcBVy+odeYIxpYNJuTcxfwCKqYuAYlseIM8qUxnP/lNWObhLdtMivXAP2BKSih+iyQuTE9++ezp084H1hreYIf2R5pGwyaF8HcAtTd0jerclCf+Fq+haq7LgS5TYJcWrtOxY5a8f7TKoL2U5Zx041hy6pueZVVMVvPzTwJHaiFCYRwBcfvUfLgQ2BRcbf8/0o5/LnDnCTXkq/dBBMTiJMyIMGIaWlcTkBjMR1VKv0CvBVIkEQMnTDsBD4tfdDX40iPmTTZaY9m1PwklqzBcLkgJxLDHDRFuWnp/UOOSA2SnOe0RMeGxwM3ubFyDjDWtRmCTSFwTukDvkoVzdmPFrZECdV2KNl539b7hqwMnV+pIP+SGDrgMsUKmKFAr83DvW9HHjNlnHMS0FqQzsblvsAxQdw60kIwyQR5ywQtgJSt9w4pAUh0ihJCxwvH4wXsUwl+wj4ya02p98gnNv7uSHpzvAUsP67u7ta25RqPHRQwOXv9MW+hsdgPvf/9wDyDfGMMvqCw3BWrOXDqqm55R9SndFyU0QAtGnB+UEyhK9YIoLM/aDcEngYGruya/8KRtNluwfC6qE/mVcAT/qD1LJhVIoxGidNRxd3y8yK2bxBaPhj4DRgJPLes8yS3/cJhhSCDPEYqRPg8IFZzMPOXdZ50c+QxW83NqgW0BLnQILke49auE1vxom3LbYGgFfhuRz2AERt6jZkE0PDliRZwHvtisQPq3yXAF+zrpz/ZNmDEX6YSrFoe9gAYYxYaY76q5nO4D5rqhKBykOV/ZVsHO4YHZSjboozmmyFPrQMPasydxpjPjTGf//zzEb13RhHFO0D44XAz2inuB2NMLJpn/NLhEldR/Pfh7TXfMnLWl3y7vQwBvt1exshZX/L2mm//X59aFFH8V2D+qrFSUTcm3/LLnqBH/MYVj10mvdAZx7FoStNdwMmuh55Y9AA2myB3o8bAtxzJ8VIHO8cCC9D3lH52gPpoGs181Bf0AyCvbf+iwy4PmzrIOQMd4PRGfTIGGuEe9EX+UXQyLz5yn2UzMnYsm5HhQ0tlh9MUPm/Xp+ASIAGRgNG0yQdRq4Y2VY+7zvHuXed4V9T+UXbX+knqSZzNH2fFe+Z/niMGPAjbgH4duk8xAEtnZsjSmRnrl87MeGTpzIweqM/IhahX0Y/oC/q7wG/texcsb9+7YHz73gWd2vcuiK967KMYTwY9fBvj8bvGuPX8e+049No8BzRCZ+zP3dp/ZPO4hECtkH/LTWA2EbIfOFyEiKs81Nz8BVfMC2AaALM29BrzA6o8uQwllg4LzebkxDSbk/M4apo8H7gIJYVaAAXGHBiLG9OzZWN69stAMlCE3lMlTWbl3gtSB8AYOug6swBVqDSPbKP0+ky39PrMTTFxgU9i4oIt7RihbG9s/K/b6+wFPCJmO9Cs1dysSvKquFv+j8Xd8l8r7pZ/e3G3/EQgEa1utgS4HCXRtrWem7m59dzMaa3nZvZtPTfzhMO9Fn93fDXZuzkYz/vBWPG7hnJc/LjMR59RYXPobsCpgdryKhZdMExBB/ZXJz50+M8wgKTJzmVozHwnSBqGNOCd0iFD/GglQBslRA8byXlObzRFFKCdGyvvob7I/8CuzKjYLx633jdkDUqUDQDOBD47+9HCZ85+tPBEQRIwpALrTZBcVCl1wLNx02jvj/66MjdQl/MDtXE9uz0m9seYEwAPFggiqEoIgFKvr6zU61tY6vVllnp9F6LPxh7otTwN9RUsBn5JdIpmJTpF9yY6RU0TnaJDFEo4OrD5ulFujCcwxR80uy3cCnGN2ev33Ix6s40C/ge9d0+2jPQzht7Al64YH1rt74aaWz8QHRdlnIAShucBvVyxTgN+R9P4nkP9CQvazMs8vuZW9ke7BcMbActRgc3dyzpPugfMg8BuVFklVO2nO0/6TbejFTqZ8DSwot2C4W3QVEkLqGcMPqi+n17VLW/Pqm55y+rH73XrxpXX3huM4deyWrGAx2O72Jb7Pyj5B8C2ASPcbQNGfLFtwAhn24ARV6Pp6hejkxzbUaun94HfG748cWnDlyeObfjyxEsbvjwx9nCvRXU4JHklIpeLyLnVfOYAP4bUJOGUp+qk3P8Gzoj4+3S0zOi/Q/+vupyDtHuwto70GP8GZoliJeCyT/pW9Ro8JSIXiMgFJ5zwX9MXRfHXYCLQ2RjzDdA59DfGmAuMMeEKItcBlwK3GGPWhj4t/t+cbhT/VzFl/ibK/PtPopX5g0yZHy3QFUUU/1vwN4g/z3ZNHSPstMulXET8KAl05mcv+zp89rJv6mcv+35BvTZTgAc+m+77Ah0U3dm2/+ENIFIHO8ehM5YtgT52hcxEFTVzi5/z7Vkx3SdQSYodVnpM6iDnInRQkwRcvXqat9BTLscBA4HpK1/wfY+SV3HV7b9sRsbXaD92LfqS+rG91+2DTga+/NnLvpWo+uD01EHOqVX3v+j6wsZo0Z0vrQBgOD/tsgkG8JigfBU6r9Tqjr10ZkZg6cyMlUtnZkxYOjOjMzr5eBnapwpKnnwI/N6ud8HCi68tGHs41+TvjPIzK053PeY0xGzYWx5ri2uORYmgC4Gkrf1Hjtraf+T6JrNym6LVt57d1Du7GDXYv6jRG3nnHc5xQsRVITqTPw24DUxP9hGphNpcARQ2nT22QbUNRaDZnJwGwDw0hqcAPdb3yNmJ3ks/AK9wkFjcmJ69c2N6dgZKTH0OPOqJDb4UWv07StytDP19wCAtZVauB3hZJDyhbeKAc4EY0f1dIgZpVVHcLX9rcbf8Z4q75d8AnIIOXB8A1of2ex34qfXczC9avZc5rfXczNNrautoQTCeM8XwrbGoLTYY+BglyU8syfLeUpLlnReoLS5Kfv8P+hs9g45Fbzvc4yRNdrqgatRSoAM2yejzYCZA6f1DtqJV+3olPlLY/VDtJec5JjnPyUYVf+uANiVZ3jXATcAJQAEai1BNPG69b4hsvW/IdPR5X4BOVJcAx2M4BvBuGeb7I9x2DacxBOgghq9CIXkJEBOSYBRzkFgs9fq2l3p975R6fQ+Uen3novF4Q+h6hJVhXwPfJhYWvZ5YWHTloa7J3x2xscGmQbHrBMWUlQfschF2offnaSu75qet7Jr/zMqu+b+h2VtnAfeC+Qz1FBuk6YWHRsdFGSejBHYycI3ftRegadpzlnWe5F/ZNd9FJ1rqoVUkD4l2C4Z3Qp9dpwBXLOs86ck28zJPR1VjzxR3y/+dg/XTnSetRceU/VHe4zOEK1ECa9qStIKvQu03abdgeL2q+6ct9p2H9qtrPJaLYFoSqsoZ7/GvAVo0nT222sJj2waM8G8bMGL5tgEjxm8bMKITWlihM3pfxKLk4UfA7w1fnjD/7Ol5o6pr51A4JHl1CBxSVYJ2bFcYY441xhwLXAHMF5HvgV3GmLYhxdNNEfvX1O47wE1G0RbYEWrnPznG2+iLD8aYZPSiRqs4RPGXQkR+FZE0EWkc+ve30PLPReT20P+ni0iMiLSI+Kz9f3vmUfxfw3fbq6/WW9PyKKKI4v8X9BYosVyONUKcLTz12cu+ws9e9lWmp7QeWHQaOvP4bvHzvvdDi6eh5EynQx0gdbBzIrAYTZvrsXqqdw6qSgl7sQCwYrpvC2pk3adt/4MPSFIHOTehL9l/AG1XT/OGz+se9KW2IPR3OVVmdCOxbEaGLJuRMQNoIjBehIbGT9Afz4uhTaolDC66vjAGmA6UuzE8bYKAMaf9lhJ7JoDld79E1V99OQwsnZmxd+nMjMVLZ2aMWjoz42KUTOvu2rwdiOfivQ2s0S3vdhIPp62/MdIBxCZWMGBYu7X/SO/W/iMDUwpVAAAgAElEQVRXbu0/UqAyze5R9HfPDO33IlDBYaivmr+bbaFkgxdVstwVdC1QIvX99T1yygA29Brjov4/DVCPtBrRbE5OUzRO2gO3rO+RM2x9j5xgszk5zVGvuEfW98gp5xCxCLAxPXsD+s7fG6SBsd2AiKwt6TN6F0qQ/IiSeVUxHE29ejAiR+NSIAbMXpQ47ns4g9jibvlS3C3/q+Ju+Y8Ud8sPqwTbusIEf8Acv/23Onf+/lvtWw/Vzt8ZjSc6iQbTEsNWDDFYxLixcndJlndWSZZ3b8Smg4HzAV/pg77dpQ/6SlF16e2JDxXZ1TYegaTJztXoWHAj0GnzMO+PKEG2O9ROGIUokfhY4iOFtQ9oKITkPKcWSjSOBV4COpVkeX9ImlJko4RSMUrChdNOa4zHrfcN2bn1viFDgfNMkK8AIy47PbvNotAmnwGtkyY5+429Ex8uaok+x2cCP2LYQ2UsQuj7nnP2Y4Xnchgo9fp+KPX6Xiv1+m4v9frOBhIRBuPynXHpawI8kTTJOdpVWL1BvhTsehgTB+axlV3zH1nZNf/78AZt549MRJ8Dr67oMuHjVd3yBCXhW6CpmAdFx0UZp6FEzFnAlUvSCj5A+/f6RPTTK7vmf4XG48A28zIvPVib7RYMH4SqFX8E2izrPOnD0KoH0Gyy8ETVwfvpzpNkWedJrwApIhQGhDMQghVB67nQJp+F/m0duV/aYl88OnGwQ+BVjxUESPmjIvZ4gDrx5avRyaLD6qe3DRhRtm3AiIXbBowYuW3AiDbos7GnMe68hvV/6XBtk9Vj87668oCJrkPhz5JXh1SVhAbr49AHQDGQGx7Ao/L6Z4DNqMn13IO1i0rPSkPbP43O2Pynx3gOSDTGfIU+uG6WP2MAFkUUUUTx/yNOrZ9wRMujiCKKvxbtexecLNAuGEs8xvxmgmxGfR6qYjI68PBGLJuJKjoOShikDnZORV+IVR011Rt+Z0lHCYd/VNllCrABeLxt/6JaVdaROsixUwc5k1DCYhlw4epp3q8B2txSlEAoLWblC5U+LgekalWHZTMy9pQfa8fisSyJMbYbZ15vcZ9zDLCG6tNjskLLBmGZMitUB0yM6QBgdGb8A6Bvh+5TjvjddM+J9ul7TrRvLzvO7ldRz44Tm5/Q6300ozdGvjUWjd2gedcY0ybx1fw6B2yjMTpqY3r2zwBb+mb9iqpMBjR6I++AmAmj+bvZNkq6htVRD67rnivsI1JnRm6/odeYdYAD3N509th21bXZbE5ON1ShdQzQcX2PnBcjVmegJMTU0N+HFYsb07PFGPnF9kidmJiAAdOx0et5l2zpmyXoIG2/WEyZldsaTX98TVzrHTUMkd9RtYsHJVHf4CBKwINhZ1l87Z1l8d13lcU/sHN7nVOCAdsNBu0/VRX0bwAlUi3aI/wjxIxcFrlB4kNFJ6AkzSL2j51paPZM14MdIGmy0xu12PgCSNs8zPtLo8IiG+gJvLdliK9yJq/0/iF+lEw9E/2tD0BynnM6mkJ9LTAMuCWCaLsG9UWasnmoT9invDpkPMbssr6395gTrADiqTB1Rb8fKGFbF1VoAZD4cFECShb8DAwykCAWvwFtkZCyxpZ3OIQSsCYk5zmWZ49p6ykzw+xy08q4BiN8snm496gd757/j9GNgPM9lhwrwrcifI+m9laFg97rQyOWvYIqSgcd7BgdF2WchZKapwBdlqQVLAmtSkcnChZU2SUXrS45tc28zANS5totGB7TbsHwx9Bn3wLgomWdJ20GaDMvs17ofN5a2TV/W2iXw+unO0/aVR701PIHY6y9AY8dcO05beZlJqBcCRzYT49HVaQDwQQ9lgsYUxGwLwaI8wR/Qe+Zfk1njz1iAjShTvlZCXXKBx1ff1d657M3xBwTt/fb7RUJR+xZ+afIq8NRlYT+fk5EkkKf5yOWfx5KQWwkIveGyaODtCsick9o+/NE5PM/cYwKEekfWpcqImF2M4ooooji/xyGdkkhIWb/icmEGJuhXapV70YRRRR/PXoZMG6MORMYYZRs6dj2xsLwDDmtBxZdiqZsTC5+3hf2SWHFdF8ZSiClt+1fdGJ1jacOds5AiavTga6rp3oXArS+tcigJMTC4ud8+73orZjuq0DVDA1RI/V97Q1y6qJq82FoBbcuq6d5IysA3YzaJRRELDusl+JWdzj9Qu0+IRbvAscj/MONxY8OLivVLhddX3hR6NxeWv7akLeABOMCIrsxXBLazI9OJJ6JenwdFlLvck5Pvct5FvhSoBOGfwJlGJO25gnvUUteNXxh0qnAxXZM8HjgfXHNVJQwDV9PmszKrY36Qn3BvgF0GNPQVJbrqmu/+bvZHuB54HZ0cnh4iLgCjcUKdEK5KnKAfwFTm84eW3lfNJuTY5rNyfGh5Gsp0Hp9j5zlEesr02LW98gJ/257gfjz3hlz0EFS09ljzwBmGMOWQNC+FYwB3m/0Rt6ZKGGQ0uiNvPoAKXpNpqNG62HVIWia1yUixKDk62w0Jg+bMEiZlRuXMivXi06UZwX2er5xA7YB49t604iqpPNRBUF6C7IrpBq6E9jBgYRBPmrmfH/pg75I8uQdVGlSI7GfNNm5HiUUVwKdNw/zhgUKF6OV12ZV3af0/iHLUPGCN/GRwvMj1yXnOReiA/jGwDUlWd4pJVn7EToZwFY0DuAwyavkfMcCphtMIpjuYigzcHvj8c4N7FO7RBIGk9EiH7eUPuD7FSWvfgISjB9Vjtr8iBJ+/c5+rPCwCYPkPKczmlL7qkBALCoQPsSYgYfbxt8UvQFsyz3dGIaEvO/SWs/NrOQ82s4feSVKUOau6DIhbCdEyKj9NeD6VnOz6lINOi7KaIQSVw2Ay5ekFSyDysqAPYH3lnWeFKk2ZGXX/D3o86Yp+5NlYaP1uaH1hUD3ZZ0n7YjY5A6U7D/yfnpu1u2oiGdyjO1+BJwKMsMftHcAm4iIxbTFvjRUbfjEok5F7wMJSl6JXzDhyYgA2k83RdOsDwtNZ49t2HT22JeBNbYJtu1+1pffxlrBnQmeQKcpqTOP2Mj9zyqvoogiiiii+F9Az5anMSH9PE6rn4ABTqufwIT082qsNhhFFFH8tRC4zrUIisVn6MB+IWrweiFA64FFHjTF6p/sU4xH4imUYLi56orUwc7Z6AvxicAVq6d6P45Y3RJNTZhZdT+AFdN9H4fOJ6Nt/6JzAVIHOYnsM3y9Z/U0792rp3n94X3a3FJkAz72pcWEUaOXRhit7nBaoOr1pYDXCDcj/IHhUoRJ6ACzdeogx7ro+sJjULLgX6h5K0BCaAS2HE0dA30pfid0/EOmJKTe5TRIvcuZjJrl9wcexvAahrMw3Lbmce/6Q7XxN0cvAMvjWsADYJahqSSRhMFIVNFy78b07ECV/T9BU68OUBg0fzc7BlUgDABGreuemx0mrprNyTGouuCDkEfVftjQa8xuVM13LhpfNJuTE4camheiZED79T1y/lVl13BajBOxLDwAjKEGNJ09NiHUZjzQc0vfUS+hXlp1EOajlSlhXxpQIUpY3LwpPft3wuSVYT2qJqsL+Fd1y/sNtSS5rtXcrIOOlVJm5dops3JvQgmwImCVf0/MYLfCcx5KuByRcfjfDY0nOqcbTFuxOAYYvWWo73s07blSlZr4UFEb1Nfq4dIHfV9H7l/6oM+PPk+uTnyo6ABvsKTJzi1oPH4CdNk8zBs5sE9H4746IhU0Lew3YGriI4UWQHKe0x+dJNgDXFSS5d2PWEyaUnQxSooVbR7qC983NXpeVUEOcDXw4DeZ3nkY7gwxYi8aP/WBXYQIg8SHi7qh98pDpQ/4wkqdBLH5HsAETXhmMkzsN+IwlIDJec4FyXnOQnRy5ViBO8UmBsPPGK7fPNxb9VlwlEH6GiRoGT4E3kSJv+NRRRFt54+MQ70XN4X+rYppQC3gxqorOi7KSEH7y9rAZUvSClZGrG6H9t/V9tMru+a/jypeR7WZl9kIoN2C4U1QUvMSYOCyzpMylnWeVGluG1JpPQgsXtk1f1VEc4fup+dmXYSau38AZNqW9LMtdy+YK0HGoP30he0WDDdpi30N0Mm1Tewj1xKMQYCVIiY8oeQPfb8gh0HsN5099oSms8c+FGq3NzCpf+Pi92p5/KcZw4CMpvO3HKKJahElr6KIIooo/ibo2fI0lo24jK0Tr2LZiMuixFUUUfwvoX3vguOADq4HG2PuLX7e56IeUi77CIO70Bdkb/Hzvj1V21gx3bcBHYDtZ9yeOthpjL4Q1wPSVk/1Lq+ya2/0ZfGdg5ziMFTtMDX1zqJIw9cuq6d5n6hm+8q0mJUv7KeCOKiXRqs7nONRsuA3oM+qp70Va57w/m6Ee3EBwxCxiENnipugHh0NgQHLXxsSJjvCqWofITQJ/d//0btDd6KD0Os6dJ9Srf9N6l1OQupdzjBU3ZKBDk6SxaIYwyDg4TWPe9+o6fyPHsitGMFYTCrpM3pz6Q2ZZSiZeDlAk1m5Segg5OWN6dlLq+4dSql7Cmjb6I28ymp8zd/NjgPeQhVZGeu65+ZV2TUVJVIPULqEsaHXmHfRGBnTdHbOBejgcSCaOnPd+h45uyO3bzYnJ5wW8+b6Hjn/jFh1UJ+hUNrKVLS61o0beo3ZqGvM7UAZkIIwOLT5hSmzcruHjlOwKT17cWh5LQCDrAMQ4Vh0gAZKPNWoBEyZlWtSZuVehZo8v4imfnUu3xF/u+u3x6Pk4O3bBg47alO0AARRstmwCVV4ghL7ZydNKUpMfKgo7Jv2IxoD1SFs3L6fN1jSZOdO9k0UXLV5mLdSpdGosKiSSN0yxLerukZL7x/yG6omaYtwZ3KeMwF4GU1dvbAkq1qSeyj6fHs+YtkhPa+S8510VGH6HFo4AQyvYPFJ6LvNQVgHXJj4cNEJoe2+QknmMGphsR3YZFwahZb5OQwlYHKek5Sc57yOTkicDzwg0FQ89MBwOtBn83BvdYXVjhqc/4/RZ4BJtS3XAPet6DJB0OcP7OunfWhK8P0rukyoqKaZz6nGuL3jooxzUdLTA3Rcklawpsp+vVFSaS414wH0d3zi4g+Gd0XjsC5w2bLOk16oZvt+aAXJKVWWH7yfnpt1Kkoy/Ru4flW3vODSyyf/YBkZahkXMGNcIQCcDHI6+hw9CbhxUaei8LtLAlAG5hP2VWz1b+g15ie0OErfmlIHm84eW6fp7LGj0X76PvT52Pi2Jp9u8Vhuf2B8RtP5/7EaNUpeRRFFFFFEEUUUURwErs3dgBHbzCx+3vc5wIpXhvwOrALSWg8sOhFNr/oALQhTE54iwrg9dbBzDkpcxQOdVk/1fl7NPunAR8XP+WosKrNiuu8X1yLbH0M7K8BC48oORNqsnuZdVMMuVdNiwqgxHaHVHY4HHdCfAvRa9bT3x4jVLyEsRfCLxU0All/uQgejE5a/NiSSQEkAKjDmo4g337Aa4HVUAbOfsW3qXY4n9S7nNlRpNQn172qx+knvzWJRBx38LqNKSsbRiIYvTjwZJNXyuDvQim1hLAKaJ76afyJKGpajypOa8BIRxu3N380Oq5h6APet655bWM0+6RyaSEWEB0UEEZa6LheIcMP6Hjlj1vfIcavZvLq0GDh0qtb9aCGmMSHCDIAt/TK/BTMaMBi6Ab+BXIKqv9ayf3ptWHn1DfALmPrsi8WwEvAAwiBlVm5blLz+R6iNvkCb8h3xn6DkXxzQe9vAYUecEvM3xP2CgOH2LRmVSqVIwmAgagw9tPRBX7X+NtUZtydNdu5HVTDvAddsHuatOiHQCiUXq1W6RGA6AT4ze80jri0jxMjzwBUlWd4DnqdJU4qS0fh/YvNQXyTJetBYTM53mqH302fAPSWZmoL4zUivYLgTiyBQH5fGiJyP8CyadnZj6QO+yBSzEGHAJ4gJF5wIbL13yO+oErDv2Y8V7jd2T85zTk7Ocx5HvQ+vRvuhRiVZ3kfEw1DgKsC7ebh3xSGu098exsiDIFhGXljRZcLXAMXd8r9Fr83lbeePPAOteDdrRZcJH1TXRoRx+/mEDM07Lspoyb7Jqg6hin2VaLdgeJhInb+s86Qa7/mVXfO/M0ieReAKV8z7InyHGrMvq7ptm3mZBu2n16Nq0kjU3E/PzYpD74m6QM+QijR0fXjStty1BqlwXXMDgG3coajv2+hFnYoi1V3hWPwYxBNaFtlPN0LvwUo0nT02punssXejPuO56D3dbEOvMXfe1uTTU9inBMup6RodDjyH3iSKKKKIIooooojivxOpgxyPqWV6S5wRDLGpdzk3AO+tftK7A1UEDEWkAGNqAfcXP+87mNJiJppGdGfqYOeX0P4u0HH11ANVAK1vLToHVTA9Vl1jLe92DKoMuZNa9LUqwFOBBSQCC9v2L/oAfVn8cMV0328AbW6pTIu5b+ULvqopJHvRsvPVYTJqwjxw1dPe4sgVa57wSsu7nbvFZQ2GXYLUQ7gDncUeW6Wd8EtxMSIVaLXnsNrlPdS0ux+wOPUux6CDyXzUZ2MFcMPqJzWtsuU9Tl1UBbQLuHbN4/tSI49WxCRUZNm2BCxLdhiLu5vNyZm9vkfOFjSW8m1PcAg6YB2yMT37+5ra2dI369dGb+TNAAY0mTl2TGwsr6OpXoPWdc99qur2oZTB3sCS9T1yfq26HiBlVu7pwG2qfjIJ4oJmAzIteca4vmgsLgA2l/QZLc3m5ITTYj5c3yOnqql5jYRB09ljO6EpgG+jJsNV8QiYWxA5CyMNgDQRAsZw46b07PKI7RIAjKFMYKloSXk/qP9Nq7lZ7wHXtpqb5V3VLS+YMiu3CRqLvVAl0T3A05vSs/0ADZ+fXISmEffZNnDYxuqu0dGEpIlOC+BYLPxGSE+aUgSaDrwJ+FagG5oavBRN/TsYpqFpVV2TJjvnoM+b2UC/zcO81SlkeqOD6XerWUdynpMAXOfButM1cqHEgusBhJsx0iTxoaIFaDx+Vvpg5XPQhxK6VZ+3NcZicr5zLBqHu4DeJZn7VVfkm5HejY0nOAVYjEQ4HmMsRLpjGFL6gG9dlebCz8bPUb852PdsfB0lpy4CliXnOXVRcmMI+gx9ChhXkuX9ASBpktMFffZOJ6wEO4px6aKhsfEeroyxEaDepYuGXgfM/Thtyi6UTL1VBMcYLEIpzQfBKyiZfmfHRRmCxskuNFVwczXbt0a9KrOqa6zjogyDpgYOivPQpyJo44plXKEp8GGbeZmV/fTKrvnhtNgrCJmnr+yaX/WdolryKqQUewx9J7h2Vbe8LyPXL718crD9wmGDPXZwuT9o7RQhLqRY/oQD1V3hWPw0lD5o2BeLs1G1Vj/g86azx1pAHyAPnZz7GOi5odeYFQAFG7och97bPwA3ZjSdH+RPIEpeRRFFFFFEEUUUUdSMEW68dT5G/AZzAdAd8Kfe5Swytcx6e694MGYAatK+qerOqYMdgyrdbeoYYv6QV1wYjCtXYJk9wGWrp3pLajh2eujf/RRSLe926qNeT3eiL7h/gNlokJb+WLAD5Fgu56OKkDsAt23/omJgARaXYB2QFhNGtV4are5w+qPVEx9Z9bT3hepOdM0T3i9b3u08LILXQAART0Vt854be0BmQQJQ9sXD3r2pgwrXoX5EfoCP3h26p0P3Ke8AvVvdWfQatslHB2ubQtfi7dVPqqqh5T2OCX2HRsBlax731kjUHC1oMis31fbIYMsSDzqwmAJMaTYnZ118LWaX7/XstGz3LjAbgEera6PZnByNRbCN8bwowg0YWYamkQ5c1z33xer2Q8nDFKr4xKTMyrVRb7VBKGlmgM8MnC6A6/KKZfEH0AUlIgG2Jc8Y94FlmXLLktOMqRyoR6Jan6Gms8eehaaLbgJu2tBrzAFqri39Mv2NXs+/G/gYYbux5Bg3yGoR+7cqm4YN21XtAj1F9hsbvQH0DgZNesqs3CtQJeFuVL310Kb07EqVRcPnJw8gVJlx28Bhh1ID/e2RNMmJx/AScIzAP40SeV6U1JsDfC2GrgixGO6rYtIebsMQjkWLBeLhJ4IUoIT9G8CAzcMOJKRDKYO9gcVbhvj2+02T85xm6HPxJqC+QAkWuxCOMeX8U+J4CSUGRgHZwM7Eh4o+RPjUwC0GXtw81PdjlUNWG4vJ+Y4NvIqm0nYqyfR+W8PlysNwIyLxAscRpMwuozolVKTaJbwsHN+qBBRuSM5zLgid//Gh6zSqJMtbSaokTXLOCp3XV8Cgo7m6YARyYz3SBKEMYy5B46P80kVDP4ixzTZ/0KpljOkNZK/oMuGfVXcOEUwWYB8Ti39XRexb4N4owrXG8CtKXG2r4djpVEOkdlyUcRwah3eiMb1DMBuB5h4TICj2aMG0QfvywUCwzbzMz1Ai60rgO/R3rIq9QP1qlg9CSc/8Vd3yZlR3oksvn/xZ+4XDnomx3VtFjB+w9wY877liVe2oawFla68at6P13MwS9NkfANjQa8zvTWePnQ9c13T22Hmox2cr1GPwKmDuhl5jBKBgQxcbJQNPAdpnNJ1fo4L8cBElr6KIIooooogiiiiqQeogpw0qcV+DMS1FONfoS1w6kC4e0zVQm/A4Y1DqYOcuQoOx0MeiikWDv44BV/wY6qFpR41TBzv/Xj31gLQY0Bfw5cXP+b4LqawuRF9Q+6IDnc+BO3GZZ1z5GnCxsAK1jH/1VG962/5FHtQg+ArgChcyA7FUuDH8E9tUN/t5gJdGqzucVsDTqN9HxiEuWQ4i17twksTxM7YZA/RvebczGnhjzRNeN3TeewAsv6wCLgjGmGPb3ljYHmhsxxFvl3OcCbBYbL5DybcXVj95gNFwBvo7DFnz+H4G90clmszKrYUOAn5F/Ukmo94jvYB0Y8iOTwgY1wVj5Exj+KXZnJzIWAzHYyXi4vSSBgIkV/jtlWDsJrNyT92Ynv0dB6I3GulvQ6XK6lZ0sHQGOqs+EXjGqLqwQmfsTUpJn1Gtk2eMMyjReAVwhQg3BIOmVjBo7UIrEFbFAT5DTWePrYUSuTHozH61XkcAW/plftLo9byXgAEilKODxC2N3shzgClb+mbtYB95tYdQ4QLXNcclvTm+BZBsTPw5x9TeG/T77VdD3/1RIG9TevbPkcdq+Pzk5qhyaAmQWdM5HWXIA84Ds9UI6zFyHjrgTkfNrmsbFyFI0GA+SprkVJKmEZ9KGNdgKgCRBsaVn8GsM9AsOd/5IpyGF4FmKNlaBJUqq2tRkqAdqp6aCUzDohHwrAFMkLPMHvNMSaY3O/GhogaokvQKhCtw6WlVUGaE6kyka/K8GkeIuC3J9B6Q+hXGNyO9uxtPcO43mLfFFawgfoNZlpzvzAEySzK9XzcqLLJRBdUe4J8YdiHUtsrsRokPFSUbTGOx5GeE210k1sIsAoaXZHkjU72UVFSViwfovXl4tf3KUYVLFw3tAAwzsMoYUgU5XjCtCPXTHlu621YQg2BgSMdFGUM5MBb3I2+Oia0g6OJHSZwZQErHRRk/LEkr2E9ZF0oZ7A18uKzzpN9DJFh7tJ/ugxKey4GBQTEfu2K+NsZgGZdYy79jSVrBNSFj9rZAZ+AKcMd4LHevMXxjqq8veWA/PTerPfrcfR8lZQ+GkSB9RKS+37V+AmsicMtFH4zIAmYvv2KiENlPG3ctkGKbYN2BxQMvBRqfXree57ud9c6It/0L9gTj/oUWonllQ68xVd8rstGJi0EZTecX8xfAiPw3kLF/HS644AL5/PPqLCmiiAKMMatE5IJDb/nnEY3FKA6G/81YhGg8RnFw/G/H41+B1EFObWANEC8WwzG8Cly45gnvSoDUuxyD0AJXijHGFoutCO8ZfbEMRnzcKn8HcRmKAQy10ZfjcnTgOxd4f/VU7zetby1KBLYIjArGm+3owKw58Ac6GzttzRPe1aFzzUVktB0A1+J/xGN+Xj3Vu58fReuBRdeIMDOYYDyiw8alQI+1j1WWnefi6wqfBbp8+uaQ0wFa3eGciBJkAlyw6mnvfoP2MFrc69RCZ1z7mYBcY/kJWGUSbzz801/L1MYyxyOyDmOGefbInQZSYne63QIx8nT89mDnimNsy40L8Squ6wbibeN6KMVjmq9+8sDBV8t7nE5omtws4Lo1jx/9yoIms3IfBe4F6WJZ8g+g8OueOZVmz83m5JwcDJr5IOdZFruBWcbwC1Vjr0o8BoPmStflUmPMD8ZwSqi5tWgszgWWb0zPDjSbk7NGhN1B18pHB2ZXo2TYB2jK0jub0rP9TWblpqJecN+IEB8MWmcADTdfN6pS7dD4rfGngXzsuuZMYzDGsB3o/s21oyqLFZz3zpirUSVDmy+vGVscMgeeDlwPXL2h15hqK8yFSLK2QD8R6WdZ0kAEjzHm12DQ2i1izgT5Hcx4Y+R3Y3hOr5m0j/EEH3NdY1f4983tuxWGYLkn6KkVuHDL9Vmrqh6v4fOT66P3SAKQum3gsKqqnaMOSZOcNPT+exwlUptvHu5NqVw/pSgel3G4ZACCMQsxfMUhYhHhVONyP7DVwNmh5r5nXywuKMn07mhUWJQN5FgVdDSu6U1IZYVWfHwKeLEky/tL44mOB9gkRmwszjJ+MJgHSzK9lerBRgVFtsALJkh/228w+iQZCUzaNHrfcyXx4aIKoKD0AV8mQHK+cx2qenqqJNN7QNXOMFLGOWcB1wn0E4vUYIz48RC0AnxrApyOErEvYZjgxrJJkOESy+cmIDPdeKlrlduVhLOIiHHBuGbSlqG+kdUdL2mS8xRK+PfcPNw7p6bzOlpw6aKh9YEvgHKDTDBqhN9sSVrB16H1RoSLBZbaRjDIN8BcMH4OEo8iBF3IsmCv0YmmeFQVtxgliOYuSSsobbdg+HnAOhBvjOWC9tNNgZ1ocYCnlqQVrANov3CYI8J9rli2bYLfeywpWZJW0DHy+7RbMLyviLzqsVzL1bmGBUCfpZdPrvSLa+C9vygAACAASURBVD038w3g/OJu+U0AWs3NOh19Bu0E2qzqlre9umvVem5mHVQ53k9ErsLgj7cr4i3LbPO7dl0wDUA+BzM03uPPBI6pG1t+w87y2JdjPcGLjovbbcXZyk0FXXE71Csx5YGY9Y9+c1nrDb3G7K16vIINXa5CJ+ieB27LaDr/L+mno8qrKKKIIooooogiigNRiPo3XIYhPCBNRiv5sfpJr7S6w/kNjC2GV7G4Hmgl0H3N495qPYHCaHWHk4hwo1iciKEd6g3TDTXafih1sLMFDz8jIB5GoS/Oq1HS4LU1T3grFSepg5z6aBWj91Hlw2dAn9TBztmrp3q3ArQeWNQFeMsY1pigJIH5XGw6AMta3Ot0W/uYd1uoucq0wVZ3ODFoetYJQLuqxFWLe504VEXTD00Hqw38YAX5yA6SZsFE46eVtUPau7FCIN40F5t5YmSvCVAObLX9xpTX81jiMY8B79tl7uXGxed6ZK54rG4EOAd9Ka9Ey3uc01D/lxLg1v8S4qobcC/gbEwf88E5b+dsQWOxEut75PyQPGNcEGSZMZIEXCNC9w29xhxQbTASjd8avxboICIDbVu+R2OoG1rBciSwvcmssZ+K0EIwvxvDe2hq2CTgmU3p2VVVU6OB7ahHzPeoKisdcELHOwlYBOYE4H0RLjKGHcCHjd8af8M3144Kp8hWTdXyATcAWVWJqxBh1RJVJPZF07jKjWGBZXG1CG8AAY/HTROBYNA6VoRCESk3xmBZ8rExHFvht4Oua1YCBaH0weewzHogNbAnphdKylWi4fOTLdSo+yygw38JcdUArR62EY2RUUDPpEmOZ/NwVUduHurb23iCo4NtYZEROqPKtrxqVFSVSM53PKjB+wJgDKpquhJVttwKBJPznWVYNDUuu4yYj9CUY1VZwUclWfu1fwOQiOFlYABqft2bUOpro4IiC5hqoD+GF8XmZgIsMFoI4cyUcc79m0ZXKj4rn43J+U5zdED+KVo4YD+kjHNOQZVg/dC0ZwysdD2y1UC5WMxzY0kjhjjLDybALeJyEwJi8wBwqthmryk3u4EHBPmXxMhDCGeaCvMTNt0bFRVlbfH59kuZTZrkDESJqwn/DcRVCI+jFfkuNvtyLZOBrwE+Tpsi7RcO2wEgIq9YFjcC/wbptfiywh3VthhC+4XDmgfhClvcBsbQEX0uXhn60HFRRolt2CUClmEiGh8r0Fh9c0lawe6Itk5CUwPfBXqCWQ7Ss+OijBOXpBX8BNBuwfCewCvGsMxAG4N8KJgrgI/bLxx21dLLJ4fTUvf103Oz4tFJnNrAZVWJq9ZzMxNC590PnXBIAL4VrKUipoNlmfG2JRdbJtAuKIaAa18ALA66lMdY7m5g8zGxFeIxQcsyMgVYdHzMHz1jTHCwZZh3csLOLnnN3z4bxmyIPG7Bhi6J6GTDGuCev4q4gmi1wSiiiCKKKKKIIor9kDrI6Y4SRVNWT/MuQdOaXKoQBmgaFMblWTRFIBVY2vIe56xDHGIxcIxxOXf1VO8Hq6d6vaunepuE2rsXkU3ABbYfsfysQeSCNU94W615wvtUJHEVwn1AXePyAoARFoeWpwO0HljUEU312gB0xZjvjMsfaIrCycDyFvc6qaF9Io1gC4EOwB2rnlaFV4t7HU+Le50rWtzrPIcSGO+gA8xX0BSc020/K4GAG2tGLX9tyBUGjrUr6Bi7U8bbZe62YLyJR6S2GJ50Y/BiG4zweMxuN85y8RmYHow1/YAd7F9Gnpb3OLFoNbdaQPqaxw+4FkcdmszKPQFVE3zFvpS0EqrE4r60PLMWHTD/BCxoOntsz0McYhngB9NpY3r2uo3p2RM3pmd3QP10rgVmuWIuccX2g3FFuAk4c1N6dmZV4qrJrNzmQE+UhK1nDP8G1qGEAY3fGn8cSkycAVwFZh2Y40Roj6q9ZjZ+a/x9oeYqTbKbzh57OZomOYOICovJM8adkzxjXC7qf7UKJbjWo0qcE21bcgGM4bWN6dn9gVON4RyPx73PtoNLLVtiMa5fhBJRgsW2LN4WMUvBTAHzk7HlSjCzgHvPenZy3SrXbgSqZPBtGzjs00Nc5789Qh5V01C11Y2hlLQSVAzRsMrmjYDvjCoyp6Mpdo+HfKKqRUmmN4CSXJ1KMr0/lGR6XyjJ9F6HxuKlwGRBTjJwjMRSWywpAk4ryfJeX5LlXRJJXDWe6NiogfYX6LOqzGBmAO2T852TGxUUGZTEuh0Yb7nmEQyIh6lorN0FzEoZ59QONbkXiE/Odxqgz9PtQJ+STG85QMo45/iUcc6dKeOcD4FvQ23XRu/ZRptGey/EmFiD+az0QZ+39EFfcwwnubH0C8bzKhblVjkuUAe4DeETY8xGN9Z9UWJlMIZmWFxvMDlo2mT3Kr9NKvAkak4eWVHzqMWli4begBKUYz9Om7ISrUYLNfTTLtYjKIl5CfBRpw+HnMLBsRg4MYiVuCStYO6StIL7l6QVJIXaf1CErSKc73c9EnCt5UCLJWkFFy1JK3g+krgKYQgQK2JeBxBhAcrD9ARot2B4N3Sy6HMwVxnDD7aRX9D7pxGwvP3CYc1Cbe0F4kMG7U+ihvEDVnXL+xqg9dzM2NZzM69sPTfzJTT2Z6J9+fPofXSmYL4Edv5REZ+9+LLCNGOo77EkLc4OTELcf2/fUyvOdakrQpFAll887Kio9fCpcTtOiLWCg41hWh17702hc9mvqm3Bhi4J7KsC2iej6fyyQ1znI0KUvIoiiiiiiCKKKKIIIXWQcxLwLDqYzgZY84S3HNiG+qxEIin07+Y1j3tnsY8Q+rTlPc55BznMktC/nSIXrp7qLV091fu4p5wiuwIPsNYOcFFMGQ+0uaUooWojqYOcuqhJ8hzL5WcAI2xAB2zprQcWXYzK9kuBzsXP+35DvYlOWfuY92P2+cN83OJepxshL41Wdzi3oKRYUTCOV1vc61za4l7nCdRAdj5KRsxBZ6BPXvuYd9Dax7yL1z7mDaLpPv9c+YIvCLD8tSHly18b8lF5Ays7WMtajcHvr2OZshPtWlgmBsDe6x6LDnBXAneseta3E/UX6tXqDqdpxFcuQImZW9c87t1vpvdoRJNZuQZNg2oA3LgxPTtM6HwDJJ3zdk7ke/zxaHn0zRt6jdmG/rZfADObzh47uKZjfHPtqN3odd8vFjemZ2/fmJ49w1/huSfot/aKSwmY+mAyRUzDGpobhaauPBI6599QVcDFSW+OT0FTDJOBa765dtQnaCxaIsaglQ7fAR5p/Nb4AhEqAFzhLDQ962tgYDBoJSbPGJeZPGPcOpSoygL+B03XObmkz+irSvqMfrmkz+id7Es92xr6TrIxPXvDxvTsx4zFVMvCIPwWDNqnuq75EQwi/IL6atUHrtnSN+snlDCrhxIaADR8fnJnlJB5lRqqgR6FGICS9KM3D/eGq0PWRBgkAZtLMr0VqB9OmBB6MznfOaBSWgQWA42T853TwgtKMr2BkkzvJyWZ3kzxmM9Eq5/96MZyVzBe0mpo57rQOeViKmNxJmAE6YEqB+9FSfpsVCUIhpM2jfYOD627CvgwZZxzIlCOkICqPk8D0k2QPSnjnJtTxjnvh/afFlqXC5yzabT3/E2jvRM2jfaWJk124oBTCcUiQOmDvp9KH/S94dljhltBU47wg11m6nr+sEoN5qRQm6NC13zYtrsz3kfvha1AZqOiIgOVariZwM/A9ZuHe/9UNbe/Ay5dNPRMtIrickKE9pK0gu0oaV9jP734ssLp6O+aBCzv9OGQFGpGeCKoY+TCJWkF3yxJK3i4PBgz1e96PMAXQbE77g3E3NV2/sjYqo20XzjsBLSgwWuC2Q3gYlYBW4D0dguGX4Y+J78Cui7rPGkX+mw8eenlk+ejhJMHWNZ+4bBO7PO8uge4Bci1kHdbz81Maz038+nQvu+hBOeb6HvJacXd8u8p7pb/SXG3fBd9Nm5dfeV4AVh8WeHexZcVfvjzH8eM3Lm31tdBsfbuDsTZP5fViQGTAEizut+dCTyD+l/ef23S6p/R/qn/rC0tGwIUbOhiQr9LC7SyYHV+hn8KUfIqiiiiiCKKKKKIAkgd5BhU5XIMcOPqad7yiNXfUP2MbgU6086ax72foLO6giqwOlZ3nFVPe39CB96dqlsPeA38ZJSAyEYHjUvb3FJ0ZpXt7gGORQfRDULLdJDmysUC89AB0OXFz/vCaX8/oAQbax/zfo36A5UA71bUMee4Nh5EpgoUB2OxUWLgI/QlOWwQftLax7w3r33MO3ftYwdUAzubiAFaBPoD6RgzyhhTANzqWlyISBnCq6jSqtcnbw8NEzQPox4jwwFa3uPcSIhQW/O4960artvRhtvQmfmRG9Oz10UsL0EHL6dHLGsU+ncLwIZeY35BCaF5wJNNZ48dG/KNqg6LgVaN3xpfVVkEcCNYJ4hr348Ogo4HipNnjrs6cqMms3KboYPsR1ECqz4RhAHqWXQekP7NtaMWhXb7IfTvyd9cO2oPSoo+Bgwpr/Dkui64rhktgh0MmneDQWsxsBk1C9+JxsNpJX1Gp5X0Gf10SZ/RVdN19yOvwkiZlXsGmm60zHWt3sDpIiZbBFzX9EULIwzY0jfrC4B/3jZsFUra+s56dnJCw+cnnwm8hhJqd24bOOyoT11NmuScjf42H6NVLsMIV0qt7tm4BaAk0+uWZHqHo0R7OvBBcr5zbA2HqpYwAEia7JwCXG+MeRZDK1Rt9/+xd97hUVXb+//sM0kIRcGO+lUpIVRBIkTwqhcEAbkiIMWuWFDBeiYhQExgIDFgIDOiYuyiXBtIE0VQEFSUHhABIQkY7NdeaClz1u+PNRMmIRWu93fhzvs8eWYys88+Z87s2eXd73rXq82zvJnNs7ylVjgtJvssVH20BVVJBcmrLUCeuEgCRqFtYNTORLegxI8Q6Bt3pNrTA9d6LrAKP36rMGCq7fC88TMGJUpmAG1QEqwj0GpHqu3ZkXoIuX4O+jso0xZj030WOuZEgultjNkFPI1whlgSDUxAQ1OzAHa63SUo8RYPdA8Y4c9ESbPB+aMr9iU8lnDJslEu9J64gBs+7DElNJlHZeP0byt7Zv4CsPzSrHfR9lUP+Lj7+wkXVHSelT0zvwB2U8U4DWY3mAvQZBV3Asu7LBlbXtFlo+F6D1E6TptfgDmO0BNkIdqv9fr4soeDYX+l4/TKnpkb0U2bb4ElLsvfVKAeiA9kpUFOROcgS9HwwEUocXXausszbl93ecbSdZdnlE94Utk4PQLoBcbtssgG7vM7pkOkKfnZZWQOOp8Y/FD7uUWB8lmoKj2YzGU4AUItsfWSCn0JjxRh8iqMMMIII4wwwghDcReqJkrKecreVu69XCA2kPUviBhg14ZnDu50b5xub0Enmt8ASzre7RtSyblWABcFvKVKET/M2xLdGc5eO8O9f+0MdxpwZeBc6+OHef8OEHenrwEairAo5yl7A4FJscCvCJgSDhghAqHXuhfc34Wc4jugcYCoY9Pj9ndoSMHSknqmf+FxIIjLiaIzhhHAOtQk+9RNj9vXbHrcnr/pcfsQc9YQNKPcpLjj3b6z0YXvSnSyOwHYKZb0sQrFGJ2kD/ho/qjSLHcbnrF/QrMc3tDxLl8vdIf3IzRU65hHq7kTW6AE3vtoGF4oKiIMStUFwRc+Hzh+L0p+vYCSoE+3njehIr/b5ehC8KLQF5u/lmHQhddmYHnuoNTlQCeUlHgzdk5aSuyctOBa4kE0O5UPVSkZ4BdjSbQxzu/GyDkgI/OGpIQuaILtsjFA3pAUP+ohNApM76LiCPx+znEc0xDM2ECdo4BzcgenXpQ7OPXx3MGp31M5mgE/h2YlbDl3ohW4HxHAzTuvTvkYVQoM0hxWpgcwbufVD84rV1cGcCqq8HoDNdoeVHBLUvnwoGMOMQ/7XChBIsBN5ZQ9P6EhdKVqlxaTfA3Q7zQ/tJ7cZPsRtC/pAnwUm+ELJV+D+DRQX0WEwUj0e5u2M8H9PUrOZqNtYlHzLG+QwB+Emman542xHQLklRhOcpB9YnE22ubvCxBX5I2xS1ACq5R42JFqLwhcx/ERezkLP61xKDHCXSjBmY329U13pNpjdqTam0JN3suhWeCxPGEwEiWFE/JS7C3AnYK0ECMniyXdUQ+lOwtGJobW+yL620lGlVl9gfvzR9trKjn3sQY3Ombd+2GPKeWVPYeEVBNQAYa+sPzSrPXAhWhbW979/YR/VHKuFUC3i5YmleFMuiwZG4cqoh5b3XtS0erek8aiar/zgA1dloztAnDR0qQTUZJ99sqemZ9TSl7Jbw5YfrGKRYwjQq+PL3v4p5BTfEdIW1zZM3M3upn1SYRLrnBZ/igAAxcZDX1diYZ5n7bu8owb1l2e8da6yzOKqABxi1IMGuZbpi22XeCJRdXNS4An0bD9bx2RHk3q/1wf3dS78qH2c0uv86rmG79CicTbs7f/vQ+6ebEEVR/+JTgi8soYc6Ix5j1jTF7gsUIW3Rhzc6BMnjHm5pDXzzfGfGaMyTfGPGqMJoSsrF6jeDRQfrMxJu4IznGeMWa1MWaTMWa9MSb+SO5FGGGEEUYYYYRx9CLuTl8rlFhZgu7Il0cu6kdyWshrpeqCUGycbn+FEgHrgNc73u27t3wZdPFUD/WrCMX9qJorO/jC2hnuhehO+8/Asvhh3vsQGQGchKquIDApdiJ4DZgoFkYMdY2fZy+40XtSSP3fo6qdhsEXNj1u/xn1p0wwhbI/cj8StRdxHZAHUYXVgE2P269tetzeU8FnKIP4Yd4GqMF76aS4490+C1UnWMDNG6fb/pxse7/APWJxnIFoMWwSywy/6KqpUy+6amrqRVdNvf+iq6YOi/rDvxURMY7MQpVZQzdOP0Tpdcyh1dyJkWgYZRFw8/arxjnligRDtULDY5qj5EKZBcnnA8cXowquh9BFztzW8ybUK1ffqsC5yhMGPVF/Hd/Oa5IFIHdQ6m60bb+Ctr03Ws6ZGIfu+D++/apxPxMkUoW+xrDGWERgxDKWTIqdk9Y1pP4g8VS6SMsbkiLAcyCfgfhdLjBG5oPE5g5O7ZQ7OHVq7uDULyu+c4egKRoyG4p7UNLDveOqccHfbrKIHPDvj8C/N+I7/x+RzZo8M2Vak2emTGzyzJSEJs9MGY5DY4StwEMidAaGFdySlMv/BkajC+eR+aPt3aFv5I+2hUPVLkGi5pC+MTfZfg31yTsbWBWb4WtT7n0/qvQs0xZjMn11CRhe5yfZ+QA7E9xFOxPcI9F2/XdgffOp3g6o6mo7SjKCcCJCA2A7hrY4RADdsHAHQ+8C+I4AkRpESX1Z64+WGeJCnLrgj5bdYqQPcNaOVPuBHan26ioIq1AEVYCl7TE23dcSDad8ByXnyRtrL8XhfbEciBCIkG+IlKwmz0yZ1OSZKWOaPDNlhP84/yBxySKghxjxoOTBkzW4hqMelywbdR7al81BSbzyyAUad1uWeFzIaxWO08svzcpH2/U2YEH39xNuraC+5eg4267c6zaa+ffZ4Aure0+ajZKZB4APuiwZezvwADpvSA8UOxFEIiznHTCJgOV3aFDsdz3b+Z3khiH1fw+c3G1ZYunm1sqemb8CE8WRQguItJwSo4qn09ZdnjF43eUZb6y7POOQ7LwV4FR07lHaFtsu8ESgBPUB4Nat/T2yqtfkPxzHuI8zRcfdcWJ+3QdOzN2UduqWe53vY6c438emOt/H3ud8HzusU50DOSCR0Vbx6+hv6PrE1kv+stDVI1VejQGWiUgL1CDukN0wY8yJaMaIC9CJ1/gQkisb3cFoEfjrU029l4eUvSNw/OGeIxOYICLnobtRmUdyI8III4ww/ttR0w2HQNnjjTHfGGP+V7w8wvgfRtydvijUdHwfcGvOU3Z5sgDKebucP9wXMMguu6MbxMbp9i/ojvqbwKMd7/ZldLy7jGrrg8Bj6SItfpj3RNQf5uW1M9xlMpetneHegc5z3gamWUWkWUWyK3K/3HrBTd55poT7HfWCiQVusRzuMgYwXAysveBGb9DstYzaBeCCm7y3GGF55AH5F4Y1xiEy6k9Jq/uDc8+FQ7PKKMOqQZPAYyiBcm/gM9obp9u7ANrbvtb+OpJd2MjCcZl9aF90BRqyMBFVGr3gKuZpq1AixCAIN22cblelsjmW8CA6n71z+1Xjvq7g/W/RthpKGDQHvsodnFpYvvDnA8fL5wPHp6BhplcAS1vPm1BKaOYNSdmPKjzKk1cPoIa/r4a+mDsodR8ayuoW4UoRPnAcShyHk2PfSHvNcXjdcfA7aoL+BNDBGIpRtdKK2DlpwwJVlYYNButuMTu9HbAOTCsRZoljxOWSAS6X80ib+Z4zKrthlaBMaEzLuRNboSFXb6OqPlrMTq9vWc6TlmXqGsHBb34JqK9uRlUtU4GnDeZ1yzht60UW+hvV3Tur4Jak8sqsYxIxD/s6oUrJ11DCsiLkciiRCpX0jbnJ9vsc9PFZGZvh+1u5IiuAZrEZvtAw6evRkFVf+fp2JrifQ8mrOsBax5JzHZfsciLlheZZ3nfE0AyH84EdBtMRiw8Q9iNMAV5s7vUGPbi+J4RIbe71NgBeFxeJ/josRvhdImle0oDnio+XSyq5F5WhKepV9B1AbLovSBbsB27LTbGl5USfaTnBd5vlp1vEfgsM32NKs2gmot5OTwD/dOo6tyFSbPwUACMCJOIxjUuWjaqLtsGfgDs/7DGlos9chti/aGlSJBqyWWFbXH5p1r/Qfm8Z8Fz39xMe7P5+Qug4HQxjLe0buywZewb6nTy/uvekMhkLV/eetBlVp34APFNSYsaU+K0dRSUR98UvTp7vd8ydRgRj5GzgOr9jJRpjAdIbWN35neTg7yg4Tp8W+BzmoqVJI4ElGL6MjijZKGKijZHJxnBH/OLkihS1laEiFeAYdMwZsbW/51uAtgs8Hf7cX+eR7/48gYaU7DkpouhUNBzxbnScnga88H8R/ukn/om15/tIp/Bnc3Vi6yVVZls+UhwpedWfg6zniwQc88uhN/CeiPwiIr+iWUb6GGNOB44XkVUiIihrHDy+snr7Ay+JYjXQKFDP4ZxDUGNL0N3HUql6GGGEEcYximo3HEKQxsHFdRhhHOsYj2YKHJ7zlF3ZfCCosghOLk9Fd1QP2dENYuN0ez/qA/Q0KsF/oePdGiYYCIvbTFnCYDi6I3rIAg3A+InAzxYcii0Hsfw0QUMKmwMNxIXBMuux+KdRY99fxMXKQJ2rL7jR248QwuCCm7yRF9zkfRz1XFlpjOnsj7b+VtTA/NOJxDLaD6y7cGhW3KFXUyHKqAs63u1rjXqBvAU81972mfa27xaE9cA5lh8kwjy4cm5iq5VzE89YOTexPkpwnIROsM8zFraxTCOjZsnHPFrNndgVJU1mbr9q3KyKymwb4BEOJQxiqKItAnw+cPwTaGhJHLCy9bwJoVkxlwMdW8xObwTQ/LWMVmg40hM7r0k+hBBz/MZy/OZHcfhOxESDiQQzCOgoYk5wHONCzG/imKzcQeN2GsMswAL5BHghdk6a1xXhFKHeVY0BWsxOH4ySaPWBbvlDx11XVBgxuLjI5QB9RNjWZr7ntjbzPZV5d5Wi9bwJLnTR+gVAS1WzzQT2ArfvuGqctJid3h5kPXCtZTngN+sLhie1Kxg+6uyC4aMaoeTK8Wh2xLaRRi4edF4OV7bbfMyHCgLEPOyrj5L636Oqq8oIklzg7JiHfcHfaDCEtdL2mJtsb0LDtn4ClsZm+ELXkGV8r2IyfQYlUjdR+bykBNiGIQqLYgzdgUsQzgDqWY4BYXreWHuLgccM1EN4GSVhP2ju9Z5BiM9Qc6+3OapIHAQkGUM/q9i0M0V8i3A68H6zad4nm03zVuQTVxGaArvzk0o3RpJR1e1duSn2dy0n+o4HXsbwrBFjiQEc075g+KjmBcNHnQxEof14Y6Alhs51fjLvRf9iGkb/xCG/z2MUD6PhoMM+7DGlMoKk/Dh9DhoSXWlbXH5p1p8oKfMyqpB6vPv7CS6AlT0zv0THs24hhwTDVx+tqD5HTIQjbBbB72D5HTEt0E2DpkCDCJdjDKy0kNfBvATstQzvoarltZ3fSb6MkHH6oqVJ0WgSmenAEmNMfIOoos4n1t07r46rJAL1oPskfnFyeXVYZSjjBdh2ged8dA706tb+ntfbLvCYtgs8I0VYAzSuX+RwnKvkPqtxbkurce7pVuPcemh7PBkdpzt+MvHk5De7ndpoxSXHlVf1/ttxpOTVaSLyHUDg8dQKypyJmn0G8XXgtTMDz8u/XlW9VdVV23M8AEwxxnyF7qqUScccCmPMHYHQwvU//njM++CFEUYYxy5qsuGAMeZ8dLfn3f/QdYURxv83xN3puxidAzyX85RdlZriSzS0Kqh2qVJdEMTG6XYJGu7iQdUcCzreXZp+fTnwt/OH++rED/NGoiqlZWtnuD8LreOCG70nXnCjNx0oMDAWYY1jEe1EcMGal9yNxdANQwPjsBhDb+Bxfx1zAHgOwyWORT9gB7DAdUA0xbojLVES+240XLLPmpfcP2142nZwmZtL6lsziusZRD/n2guHZk26cGhWVVnCIGRSHCDpgmTBcH8UDQL/Pw/sw8Ef/atghFWhFaycm1iycm7iLyvnJn6xcm7ipyX1rGw0PKNvNec+6tFq7sTj0Hv0FRreVhXKh2pVqgIMxecDx89BN31PBz5pPW9CMCvmcnRdEFSU3I8qRcqEI8XMSnfFzEq/Dk04MBPMLyJYjsOk3MGpJ+QOTm0pYr4Akw/GAO+0mJ1+IjDdGI5DQ7keRcNu3gb5AeT0FrPTM4DZwGfA+XlDUj4B2HXdg3P9Ja6hRQciRcSAhum822a+pylV4wyUCA2qCx5EFRF3OX7rXy1mp9+FZlk8PSLCwdkX4XeKI5aHVlAwfJRTMHzUnwXDR31dAtJzFAAAIABJREFUMHzUttxbx640hneAy1M/G/i/4Bs8FSUBbsofbf9aRbk81I8s2Cc2B37OG2v/VvkhkJtsf4GGbW0G5sRm+O4MvPUZGiIdJPYvIxC+mp9UlkBrnuWNa57lfRMN0T4fh6342bUz0V1vZ4K7CQGFnSDrDMyIzfB1RzOlfmOEU1FT9rbAOkEATmue5b0cWI+uGfvsdLun7HS7JX+0/bVxTFdTxFeUcABhOLC12TRvTfqmUhVgbLqvExr180puij275UTf+UAOwtU4FIolP/sbSG7BXYml969g+CgpGD5qf8HwUf8qGD4qt2D4qPVWiXkRDdE95q1vLlk2qg86Pk77sMeUquamwT6wVuP08kuzioCbUCJoJDCr+/sJwfFuOfD3i5YmWV2WjA2Gry5Y3XtSGUIsfnHyKfGLkzOBL8DYAqtdxomOsJw2a/tknA78A0w9R6x3jJKiDweUWy8ZQ3eD9EK5incKS1yXAIjQFiVsb0E3k65c2TPzt4UXP+aPsGRowzoHZjWssx+QNkBO/OLkcfGLkw/JeFgOwb6zoO0CT110zPkBuKftAs8JaB893Smx9hz4vU5Rdof3qRdRUsZPzWqcW2w1zv3Zapz7hdU4d9Py+Sc8BhTzHxinq+14jTFLjTFbKvjrX8NzVLQ7IlW8/u+sq6pzjABsETkLHUCfq+ykIvK0iHQSkU6nnHJKNZcYRhhhhPFfi2o3HIzql7NQA9QqESb2wzjaEXenryE6cduFbmpVio1P2H509zY4Ka5WXVB67HRbNk63J6DZiHoDyzve7TsFDY+JRsMBB6OLpVLV1QU3ek+44EbvRHTR8yDqx9XeieJRXIBhf6BoH8ByFeNBd6fvRAm5bMDCxZVoFsTXjKOf0yqRh9HF/PVrXnInrnnJXZqNaMPTtgPc7kSZmUXHmwaOi42oUnPThUOzLqziozZDyaqfUPXQ+cAd/ihORzODXYswH+HkyP2ssEooQReulSIn2y5Esyj1jRvhq2hedyzBhy4sbtp+1bg/qimbCzRrM98TGftG2nFof15tWwT4fOD4D9D2APBR63kT/o4qng4A3Zu/lnESSrT+c+c1yT9AKWl1LZqx7WV0oTIY6GSMsYwx+wLlGqIE2Bx0g6QZ8KbjNxuBjcYwwhh5AFUZdkczJvZG2+szQLe8ISll1I+7rkueI2KuLzoQcVxxkStXhC7AZ23me+5tM99T2VomGBqzq+XciZ3R9vhPx28tRdPHZ4OsiYz0uwySU7w30oUSFtVhEap+Oa8GZY9axDzsuwJdpGflj7aXV1O8vNqlWhVg6YHJ9o/ApWhWzCdjM3wedK0W6ntlo+GrrwePa57l7dg8yzsf7VcuRn2umhjHfGEwocq4KzDkGkxvlGSbbxWb1sBTwGXGz1bUp6hIXFwPRIqGlX4JdNrpdr8Xer35o+0vDaabVWJ+MEXsQSgE3m42zftSs2llvAXLoxmwKzbdFyQLvke4p+VE3wPAKoQ6CJsMFBef4BRiatQW3wP8HOPE/iXLRp2MJlnYShViE4AVPabuR8n/Wo/Tyy/NcpZfmpWEGsJfBSzp/n5CI3ScPgHogCr1TiIkiUb84uST4xcnT0bH6URgHtAm0uU8b1lgDo7T/wAo8ruCmS4Tuy1LvC/wvI5l0RNVIy70O1YCgCPmMTSb5VUre2aOW9kzs9TSYOHFj5UYww3RESVzTqm3t36E5f8UDfFdH784uVMVH7Up8H1O3/R9qH9Ya5QcawlsBK4sLnQt2P9HnZNua7Ll4yb1/9iLbn5Vivec2XvQ3+z/f/JKRHqKSLsK/hYA/wqE5hF4/KGCKr5G5bZB/B8aovc1ZVP8Bl+ninqrqqu257gZmBt4Ppv/AdY6jDDCOPbRs2dP2rVrB9D2MDccRgKLROSr6gqGif0wjgE8is4Nbsh5qnpDcsqGajVHU0QX1PRkG6fbT3Mw/frHTgQFgCDSHV2g7QDeueBGb6MLbvR60MlwKrpI6bBmpnvImpnuLSjhBZSGi/wDzZS1Dg1HeRl4yF/HXIwuxO5wIvED1wuMwy9FxuF445e3rRLJ63pd1iGk0IanbT9wC5Z5pfg4q1NJtHkGTfe98sKhWdMuHJpVv/wxBNQFxfVNZ+BBgZf8UZyJEiP1EK41Qk8DK6L+ED+w5ZPXE/ZXUE95LEINnttUV/BoRau5EweixuqTt1817qMaHJKHhsM0oYbqglB8PnD8Z+ii/Tvg3YgIfz/gE5QwuAP9rh+JmZVuxcxKvxolGV9BF8tDgA75Q1PmGEOdQJXBtngZGlLzVt6QlA/Qxd7fwPxThOmoyuWS3EGpzwKXGiOOMdLAsvxbIyNL3o2MLJ/RXbHruuTXwdzoL3HFFB2I3CTCJ+jv94M28z0tKzikKYAI36FkwXeO38xAF2cDQMZERvoxBjnwa/ScwH53TQiDxYHHY5YwiHnYdxqqkPwUJf2qQxk/QGqoAgwiN9kOZsWcgYYvPYUuhM+JmezriZLz0/OT7MLmWd4OzbO884Ac1OdqHNBkZ4I7fWeC+w+0bywEaD7V2wBtz2/lJtu/ot7Je4B3jJ+3UAJ25E63+zOgM0KBGCkC9gi8LoYKw0PzR9sFwKVGzB+mkIY4PIVmUdzWbJp3cPnyMZm+hij58QXqW9UK4T4jvIgS1u8gPGkgTiwZJxGcQQ3a4pYp9q/ob/aYbYuXLBtlUFL7ROD6D3tMqcl4UX6c3s9BD6lqsfzSLB/6fXYFPrKMsx1AhO7oJtdG4MP4xcknxS9OzkC/1yTU37LN2j4ZN6ztk7GDisfpAjDbUGXrfOCR6IjiVmh7H+GyZB8wSJCsEscUOUL9vYWRC/7YH11Q0bUuvPixYuBay8j8k+ru61Q/svBJNJxvTfzi5IfjFydXFG7fFPii7QJPcN4xHeiIZvOV4gOuGwr31OkN5u3RLddFAzlW49yaGLAvAtpcZg1pUoOyh40jlby+iZJABB4XVFBmCdDLGHNCwBy4F7AksOv/pzGmSyAD4E0hx1dW75vATYGsg12A3wP1HM45vkU7PVDGP9jxhhFGGGEctVi6dClbtmwB2HqYGw5dgXuMMQVoyMBNxpjJ/6HLDyOM/xji7vQNRecF6TlP2atreFguENNxpM+F7uh+ueEZu8J01JVh43R7AZrF7WQsFothBxrS2xnhKeMnBZ0MjwfeB85bM9M9eM1Md6hCKUgYHIi/2RuBLsreXvui28nJth3gVgIGtE4Eq9Aw4EFrZrrFX898ictEGeE9I/wDDZ3a3PW6LLvrdVllWOgAgXUzMMsfbYYXHm+eQA2D7wM+u3BoVo9yH6+pqGJhpsD3TiQnoQTDuwgdjXAv4CAyzKjqqyZkAWg2LjhGF2mt5k48HV2gbUB3zmuCoNolllqoC0Lx+cDxX6KZAzcAsyzL2Qd0ALkP5D1jOa1R0uq1wCFXA+3zh6a8kT80JagAKG2LgccrgF9QwpK8ISmzUCXDIHFMnAi/oqGqANstl0RalqxzuaQhupn8TZv5nkfazPe0L3+9u65LfgW4RcT8rXB/pIiGbbUDPm0z3zO6zXxPqGlxU0BE1UMtHccsArMYZakujory+43hEuA+pyiiKRqmtptqkHbuvB9QkviYbIsxD/sMGpp5PHB9/mi7Wj+l/NH2H6gyKrbFJF8USjTXqi3mJtvFaL/1EKrKGwBghBSgUCz5sHmWdw7qe9UdDcNuujPBnbYzwR1qml2Hg22xB+rN81bgHF+i39vxxjEvISwAhsVM8TbY6Xb/ZPx8JQ6/YdiC4SHg62Y+77xmPm+/Zj5vGUPs/NH2TuBSgym2isxAShgKfAPMbjbN+0azad7QrIVNAUwJDYD7EeYYYRpKyj2Aw4NGNyneLDzFCSpcato3LgLi2o3ynV5tyaMTt6BtIfnDHlM+reExuUDLbssSDQEV4MqembUytF9+adZr6Lh6jsvIXJDdwFCgtQhPO2LS0HF6DLpB1G5tn4zr1vbJ2B5SzcFxWkmknsBba/tkyIoeU/3AdWg/+bLL+JehGxGXr7s8w6kT6RRgTNS+4sj3/I5rMJDTfuG4nPYLx93TfuG4E0OvNUBgXQ281SCq6K6T6u6ZjCrVkoBN8YuTLyr38ZqK8DVqH7ILVVxNBuaWFFvxhXvrJAF7zqr7x52WJgyoTVskcN/+MhwpeTUZuMwYk4futEwGMMZ0MsY8CyAivxAw/Az8TQy8Bhq69yzKzu/k4OSkwnrRm7IrUP4ZVCFwuOcYDmQZYz4FMtBdpjDCCCOMYxnVbjiIyPUicraINEHlzy+JSFXG7mGEcdQh7k6fC5FMRHbiyEO1ODQPnZCeRS3VBaHYON3+GCUNiiSCZgIdcNiPwziUvPgAiFsz033VmpnuiibsoTu6XdFd/beDb+Zk20Wop8Y2sRgrhq84SBjcAuSX1LX6oL5Hd6GZ67zAN12vy3qj63VZfbtel+UC2PC0XQLcAMzFMpMLG1mfo5t/JcDSC4dmPXPh0KyG8cO8Bmjqr8OZQKwTQSSGXujO7pVGuDXwme+p/y8xaOhFjSbFOdn21yiJckwSBiK4RWgowm3brxpXUzI0lLwKKq9qRRgAfD5w/M/oomqhZckVxjiANMZICzS8zoWqENrnD02ZFUJaBVHaFmNmpbvQ72hx/tCUUglV3pAUH+ADM1LEbAauajl34pnA9WAiMWY4unDrgxK2I1FCal2b+Z4RbeZ7GgXr2nVd8kvAbWB6Fe6PGuj4zXno+mAysDqE9Goqwo9g7haHAsTcgY5550VFlQTDZeahC7hOwPqCuxJrusBdBHRJ/WzgyTUsfzShC0pATs4fbW+txXFBtUsTdH1Z674xN9mW3GQ7BfV76yZQLMhFYsm3GFag7XQiqrSasDPBXZGnVqnyKvA5/gBWhpzjU2Ag0NKU0AyhIXB9i0m+JgbT3cJM3+V2X4iqPB9Bw7jeBL5q5vNObubzlqr88kfbeSiRJlaJecIc4EZU+XoFqsK6qdk07RcRwOEuhJ8QBqIEW1fj8KSBfwaucziGTmjY5MYa3rYgYdCnhuWPGlyybFSUCJNE2EIlSUwqQR7QCB1jDnucXn5p1jJ0rIuKME5jRDo5wh6BTDSM/x3g3LV9Mq5Z2ydjWwVVhI7T3VE1a+k4HQhx7AfsjrAc2yA/cNDr8BZg08Z/ZPRB/fuCrz8GfNd+4bjX2i8cd1n7heMsgIUXP1aEhnG/E2HJI6fV//NjVMxTB1WJPRa/OLlB3KKUCODsYr+rJWpT0BAdl+8Crj7wR/R9aEKPOz7sPuvEwDXXlLzKRXmav3ScPiLySkR+FpEeItIi8PhL4PX1InJ7SLnnRSQm8PdCyOvrA4qA5iJyTyAjYFX1iojcHSh/roisP4JzrBSR80Wkg4hcICIbjuRehBFGGGEcBah2wyGMMP4X4CoWl1XMKVYxzSOKWRQ/zHtu9UcBZb1dauzrUhE2Tre34TAMpNBysIxQ16hs//w1M90D1sx0V7V4CVW7XIESSWVMbHOy7d+BvhjzqxNJI4G/nX+7ty86GZ+R85Qtq15J+H3VKwlPrXol4QI0lPHxwPtvA7u7Xpf1UNfrsmI2PG0XowTGAuDxwkZWG9T/Ywqqltjm2i/X+i0aSITp4FgIFn8CF2722Y8Yhw7oJuMb6EKtc+AyazopBl2kXRQ3wtewFsccFfD7TTu/30T4/dbCmFnp18TMSq/W22vbAM/PwK8cbIs/5A5O/fNwzv/5wPH7QIaDrAbBWGA0fOp6oF3+0JTX8oemVBY2EtoWO6MZs96qoFwiMAsxfxcHC900HgZsyB2U+tm2AR7/tgGeJdsGeIaii7X7UdXME8B3beZ7/tlmvufSNvM91q7rkl8IHN+3qDDyscL9kdegqoizgA1t5nsmiEisCCeIUCJiTkcJsSFRUSX70Tb4K3Dn3u8aRKNtv7Zt0aCLw2MLhqBiKDkm05cRk+k7roZHBhMIHJYKMBRi8bTAFEEiJRIXqhxNR0mr8ZWQVkHUAQ40n+o1aJjWkp2J7uLQArnJ9jLgFoOJM35+Q7hbkJtQ0uhFgF22+/NdtnsUGlY+AFWoJgLbm/m8HzXzeW9p5vM2yB9t70AjeCyDedc6YGajfmifB+p6W4x0NCVghFMRTjaqZIzbMc7egCrIOgC3b/fYP6C/oc8L7kqsSRg7qLn9NxyDxH6x3xVZ7LcaFvutdkUlEW92WTK2VQ0PzQUQKSX2D7stLr80a6PoxovjiOUC0wDMEpS0unptn4yqCN7QkOor0E2iFaEFVvSY+jPQxxiKolwlUSC9L3x39BUogfQCwOZ+E3/Z3G/i9M39JsYFXn8K7XveBb5ov3Ccp/3CcU0WXvxYIWpLsBR47rT6fzZGlamPo5tXn1nGucbvNy4R0x7lgX4A4rf29zy15+d6XVDydcbuW5PmUctx+j1ntqB9Y4/LrCHVJXc5bPwvZMoII4wwwgiDmm84hJSfISLVZbwKI4yjDuuedxcZeMwYEPW83BQ/zPtk/DBvRVmTQ6HkldAB3dWt9Y5u3Ahf/bgRvlvjRvg+MbAMP9F+C0rqQHEDs7a4ganJjnvoju4/gA/Wvug+xOA7J9v+BpXwO04kIoYMdIH2Uvmyq15J2LLqlQQ3uhs7CA3PGQPkdb0u64OoPc41rgPOMJSYyC5sZF3/yayEJFSp8YsRXrb8mq9LXLwBxG322es73O+LRj2HfgLu+nSaLajSpQg1/64pFqFeSj1rccxRAWPMeHW3IBJ4FVgZMyu9Jl6suRxUXtW6LbaZ77EChNArRtV5XYyRYnAwFl9bLllUBWkVRPm26EftPMogb0iKgyp+PxQxOA73o4v8F8qX3TbA89O2AZ5HA+93Qv2XrkBDYfPbzPekRtcrWoISUv1EzGsH9kXNR9UyrwHjjCFeIFIc8w2YC/KGpGTnDUkRVLlzLnDb1v6eH1HioKZm7UGsRz3mjjnCAHgbw24Me1Bz7LyYTN9tMZk+VzXH5QKniXqawWG0xxaTfc1bTPZNAr7EIgnMPkrAKmKvq9As3JngrirjYRBB5VVHVFlaEZFKbrL9MjDGiGlk/JyLKk/ezxtrlwkd3WW7i3fZ7gW7bHd/lBwdjRK0zwPfNfN5n3WipJEgwRDF5dYBU4QmLbgf+LtEkowlAMVGyf4bdoyz/2zl8V2EhnY9u91jv9nkyamG2oVTs2WKHSQMerUb5Yus6XFHA1b1mrwXzHNgHJC/A591WTJ2WpclY0+s5tDgJlM8SiDVui12W5Z4fLdliXd2W5a4DszbjuCyjJ9Iq1jqRRatqhdZVBNVYjRQVOx3gfaN763tk3GgfKEVPaZ+EXg/KspVAsZJQ/3YXilfdnO/iRs395t4H0rwXwNsR33fvmi/cNzS3b+dMPC3A9FXoxkSZ5xW/88r1/bJuA9tj0WWYaYxpQLTF4DOW/t7Pjvn+cxgNuCv0HYL2hb/oHb3bxGq1vp7dQUPF2HyKowwwggjjDDC+N+DYRLwM4aNojuTtwF58cO8SfHDvHUqOep71PD3/MD/NdrRjRvhM3EjfJ3iRvieQo1jn0ND/RItId4FiMUqVJ30fNwIX3WprqMBMSWciS4WK1ygAeRk21sxpj8GERcdHEu2+OvSpMMDvnYdHvCd2eEBX/0ODxzM4rfqlYSiVa8kzF31SsIVqHdNMjpRftFVwpeRe5zvEVmFyNPn3+Eb9smshHVOBNc6Fn9YJRQj8iqGqzf77CCZlo7u/t726TT758BrnYDNn7yeUK2fTghWAaomO8aQNyRlLRqidzyQgJJRa2Jmpf8zZlb6WVUdykG1S43VBW3me05vM98zFl3kLUMJzqeN4TzHifjMGPOpMVwMfBw7J61JNdUFyaugCvDj/KEpv1RUMG9IygFUxfIVYhqKI35/ifm6+esPdWz++kNNm7/+UKPmrz9UujbZNsAj2wZ4Nmwb4LkbJSKuQ8NSJgIF0fWK+lsu5wU0DOyVA/uifi8ujrijpMRa6ThG/CXWN2Da5Q1J+RSg7QLPJWgm3ae39vcEw3eCWblqTBiknTvPQY3b+6R+NrA6UueoQn6SXYQSNCegIcy7UPuV9TGZvu5VHBr0Do5DM45W5Kl5CFpM9kW3mOy7tsVk3zJ0kZyEWsD0x+JhJXXNHmBFbIZvYA2qjOZgWxQO2sVUhExBnjJiMI453fhZ3zLNd0HLNF9syzTfKS3TypJBu2z3d7tsdyaane1v6G/2GuBjiWK2EyEzBamPElhn7brf/SjCQ4DlN+xHOH/HOPuFHeNsaeXxHYduIuxGPeFA+9nG1I5IBSUMjkdDHI8pGIPHqHH+h2g7vAfI77Jk7H1dloytjKwrQEn0Wo3T3ZYlmm7LErt2W5b4HDpOP4m2p/sdcXXDuLAs1qIZuR/vtiwxoqr6OOi/1g4dSysdp1f0mLrBGAYZkEgj50WYkg0n1Nnfqt9H97bt99G9Z/b76N56/T66t3Sc3txv4oHN/Sa+vrnfxN5oqO54dNx45fcDdXd99XvDfEfMRhFm9vvo3qFr+2SsbBi97/roiKJ9J9fbU9Swzr7srf09t27t7wkmJchCM2LetPvWpODY3QnYYDXOLR8qXhVWBD7zXzZOV3fTwwgjjDDCCCOMMI45rHve/XvnW71pGB7BMAmHJ9AkBQ8Dd8YP8yYBc9fOcJduU258wpaOI315qMEpVDMpjhvha4SGXt2Oqkj2owueZ4GPc7Jt6XS7plc3Dq+JiyVoGMnZcSN8g3Ky7crCY+oAhSaQepsQH40KC//mOCVR/KskmoZSxzoXXQiEorjDA75fgd/QcCp9fqqlz0Wetoo52VUo8VYJN7gKJdofafZhyfOdh2W1dxmGiYsifx2Ojyhi/fonbAHocL+vO7owy/50mv0OwIVXZ1noouLVqq65PHKy7ZK4Eb4lQN+4ET6Tk23XyoD3KMCDxnAV0FKEFqjqLQG4KmZW+hQgM39oSvnsZ7nADepLbqpsi23me1yoL87tqM+KC/VW8wBztg3w7AdoMTt9b0Dp0Av1hFodOyetX+6g1HWVVF0HQITj0DY+uqrrMEaiRWQjmDMdx3KBmV+uiDR//aHfCW2H8CtEBp+/b4wstyynozFycUSkv7ffOPv9JRGDwTlRhLpgdfGXmALHb77ZeX3yHoC2CzzHo2TBLvS+BtEJNRv/pqrrrgCL0EyKnQmY0x9DmI2GyN2K9nVXoj4/78dk+uYDo/KT7PJqjKDapSWwM29s1b/PFpN9bVH/4RvRTHIFaGbDGXlj7G8AYh72qZeboTfCTGBObIYvAXgkN7nS+utwMExrzc5E94+VXUNJPYlA2GkVit8qZr/BjKZc+22Z5ttLmXbIr5GY4PMvBZkgEcQ6Li7EwhYLP44cJ7Cmmc87F8NdCNuNi1ZOXQnNeOcDzgEu2e6xg+G+tSZSA1iGKnX6or/pYwarek3+seu7Yx42hnSQi0XMEyjRMg0Y2WXJ2ETg7dW9J5W2hxU9phZ3W5a4CwiGGVbZN3ZblngS2g5vRzeD9qKqp2eBtSt6TJW/vTe6CYAj5hmXkQ9REvycbssSr1nRY2plIZ5BFeAVgf8XVVIOgD8Ko0uirOJf6kYW12kQVdwFtREIRVG/j+4tO0bDr+c00uciPHGgJOLU/cWR8cWOa9i/9tSPOqnevn2RlvNqnw/u7xxhcWdEVNGfJ9XZe1rkcU6pwvuc5zOvQMOwM3ffmvQhgPN9bBSqSp1W1TWXx3vO7P2XWUPeR9vi/dWVPxyEyaswwggjjDDCCON/Fdlo5rxMsYhb97y7X/ww72WoefkbwIfxw7zutTPcob6YuahnHFQwKY4b4TOoAepwYAg6gd2Ihji9WgEhtRfAQP0N2faEuBG+AjQpzcdxI3x9c7LLhrEEEKouyF37orvCjMldr81qjC46b4wo4kvjcFdhXT5HVRWNAo8VPT8JVfPo68a4nChwokKsmIR6ViFYhXK/GH4yQlcs8zEakkWH+30NUc+XfHSiH0Rz1CS2tgs00Mn/UJQkqamh8VGBvCEp+S1mp2cDdxvDI3lDUh6MmZX+DOpNOA64PWZWejIwM8Q0PUgYGCoJ7Wgz33MOqiq8BfXv+QFd/D23bYAnt4JD9gIn5w5KXRE7J+1ClBj9IHZO2rW5g1IryioeVF51DDxWqC6IfSMtElVNTDDGRIkwCViIhphU1g6Dz1uHPI8WMfj9ZQRPdTGCUe8hvwhDHb91KXBd05cnmS+uHyvoIuws4KKt/T2hi83amrUH8S7goIu0Y4q8yk+ynZhMXxJqnn9vfpKdGZPpexNNvjAW2BaT6XsUSM9PKu3PdgKC4SzkEHIcgBaTffXRrGi3o4kmilGC9FlgWd4Yu7zCYy+AWOw3frqjYU1eoHlshu+B3GS7hEMRLYiFkooplX3GZo94uwOPY2jjRLMQ8LqKKaL6vvEctP9pBBxvMJgSsA5eiUsM+CPkVIE7EF4yJbxiVKl3LrC8lcfXH/1NTtrusT8OuaxOqGKopln1ANgyxf6z3Sjfh2hbrJI8PkrhQ8fPKcbIhSKmN/pZs9A+5L0uS8a6V/eeFBqGnou2gRI0A24ZdFuWaAHd0LY4CA35XIuSOK+t6DG1vH9gYOPA1FvRY2pSgBybDnzYbVniFSt6TP22gusOKq+uAHLW9smoqAxxi1L+L/BZhhY5kTspMSkNoop3UnU7PAE4GR2nTwAaGYOrbmQJdSPL/CzqiYBB3EYJ+r9FWs42AuP0Oc9nnoL+/jaj40wQ7QL35HDH6b6XWUNavOfMrnBuciQIk1dhhBFGGGGEEcb/JNY97y7qfKv3QVQFdD3w0toZ7vfih3k7oouLNGBd/DDvi8CDa2e4v0XDY4YKfJ/zjF2qhIkb4TsF9fS5HVUf/AnMAJ7JybZzqriMQnQRXB8gJ9t+MW6E70t0UbcmboTvipxsu/wEsg5CEZrB6PHyFXa9NisCNWidiJILDwHh4foMAAAgAElEQVQZa2cm7KvF7QEgEFLYgIMT5gChxQliyXnF9bgHy5yMy8RG7JfPCEyKgUfRMJi/fTrNDlUMHa66AHQBCLpwOabIqwDSUBPzScCA/KEpBcA1MbPSH0UXcDOAe2Jmpdv5Q1NWEgjVMgZEDhKpbeZ7olC1zHAOEq1L0J3wt7YN8FSV0XAvukAnd1Dq57Fz0rqg2dbmxc5Js3MHpZbfiQ+G2MajqeM/L19h7Btpf0cXem3Rhc19eUNSD8tEufnrD0VTvi3CCcaSM8RPopSYU0VMd5DNYEYAZ7Vd4Dkfva/pW/t7VgXravLk1AYoMfZGba8j7dx5v6R+NnAV2hbHVVf+aEN+kr08JtO3CDVufy4/yf4ZyIjJ9D2PhgK7gZtjMn3jgafzR9v7Yyb7vkIJ0tLvtsVkn0GVlsPRpA/HoT49CcDMvDF2pcooSgkD6ucm21/HZviGosrYROCc2AzftbnJdnnVSx0MZwaeH0KkNnvEeyaqsL0Gba/9dj3grjScqyq0TPNFoER8WWJB5CTj53b2cb6Bi3GRgXKt7Vt5fFvRzYlNqOoxFJ2ArQV3Jda6n0Z/V1ntRvnO3jLFPoSsOZqxqtfkfV3fHTMevW8DV/eeNBd4u8uSse8CI9D7+GmXJWOfAcat7j3pB7Rv7APyxcqeU0rZnG7LEk9H+4Lb0I2U31AD9GdX9Ji6uYrLKG2LACt6TH2y27LE3aiSek23ZYl9V/SY+lm5Y6JFKEZ9IdPLVxi3KCUKeADtP1yBxymre08+xBerOgRCChtQAdnld7gg0iq+w7LMGcaYZqjJf/tzns80wNOBcr1235oUGsZ/JON0MFS3L7VUbtUEYfIqjDD+QhhjTgReR+ORC4ChIlKh4aQx5nh00jcvbJIdRhhhhPEfwyx0IZXe+VbvrHXPuw+sneEuAZ6KH+Z9DU2JfT8wJH6Y92HqUoAasXwTN8JnoQbiw4H+qOH2x6haZnZOtl0+zOsQrH/WLZ1u9+4lMCkGyMm2l8eN8HVFFyQfxI3wXZeTbYeqXqJRnUgU5RZoXa/NuhglCs5FCYt7V72acNi7n58+YgtKxP2JmrmWwXkjfY2wuBFhrhgWGOHiDvd5h2LMTcCET6fZa8od0gndja4otXiVyMm2/xU3wrcenRQ/VOsP81+OvCEpP7aYnf4wkN5idvpFeUNSVgLkD035JGZWelfU82ky8FHMrPQ3jLEmREY6qLWPyW8z39MSJU9vRk2lv0IJzOe3DfDUdEFbpi3mDkr9IXZO2qWo6uWR2DlpzQE7d1Bq0Mg9WvN40wl4Jn9oSqmCKfaNtNPRjJTXo94+/YGFuYNTDzvkc+fVDx5Avee+L/9ek5mTthgji4zFSBFmABjLuQQl/jag9yIU56H+v4ezQAP9fT6U+tnAxmnnzjvkeo4BjEZVQMkEQi3zk+zvgdtjMn2Po/d1OnB3TKbPjSpczgbyW0wuDZkejoYfBUOmnwE+yRtTo7DfMoRBbrLtAKNiM3y7UNL+w9gM3xW5yfa3ADEP+wwQjaEp8DWqJgGg2SPeSFRl60H7aQ+QuesB9/7a3xbFjlS7BPg58FcGLSb7XjTCDzicY/y86FjyE9AeVQceD3Tf7rFLSeQQs/Y3D/NyFqHqnctRMuZYwwxU+Te567tjFq7qNbl4de9JxcCjXZaM/Sfq+TQSuLbLkrHpdVzsMgYXwlfdliUGQ6aHoyqoYMj0eGDuih5Ta9IG9qMdbWnfuKLH1He6LUu8GFWnftxtWeLgFT2mhmb9reOIiUL7mDLjdNyilB5oG26FZvG1c/qmf1HbmxLEwosfCx2ny/f1L4xYf8MpPxU1GFAi1kJHzHuWke4gN4MZAIzafWtSeeKuE/ALSvDWCu85s3ddZg3Zzl9EXoUN28MI46/FGGCZiLRAY9LHVFE2jWMsVj2MMMII478d6553O6hJ8FnAvaHvrZ3h/n3tDHcSmsVsMTDRVaikiRg5AfXPWcJBBVTbnGz7opxse0ZNiKsQlCEMAHKy7c/RHdutwLy4Eb5Q/4g6RqiDZgJaCRoi2PXarJdQP6uGaMrsy4+EuKoJDGTjYAF/OBFciRJrT6GEQEUEUydg4yevJxRX8F5NsAjoEjfCd9JhHv/fDh/wLTClxez00jjN/KEpTv7QlH+iBu3jgb4i1gYRio0Rv8vln4sqWh5AvVL6Ak23DfB4akFcQQVtMXdQ6j40BDYL/Y3Mi52TFiwTVF5FE/Bei30jLTL2jTQb2BE4Lg1okzs49c0jIa6qh3lXxHwtwteougKXy3kQVSTcuLW/p3ybOxJ1ARz0sOlzmMf/VyM/yd5CUO2X6WtS7r1NKBEzEG0DizHEAggMRg2vH0dVpSOB0/PG2MPyxtgf15C4gnLkVRC5yXY26tsWC6yOzfAF1Z6Rmu+UZsDbOxPVrzAQIrgJVVytANrsesA94UiIq+qQN8bej+FFLPwCnREshEtRReTY7R67fLa6s9EwsMq85arDDpRoOOYSWgCs6jW5BCVTW6AEfSlW9570y+rek+5HQ90+BDKLHWssgEFOR4nzt9BQ1Syg5YoeU7ut6DH15RoSV3x82cMC7KNcW1zRY+om4AL03i/qtixxeMjb0SKmPuqptwE0RDBuUcrrwFKURP1HTt/0AUdCXNUEEZY8cXKdPZaBwkJ/RC/ghDoRJY+h605fBYd0AtZbjXMPt79eBHS7zBpSv9qStUSYvAojjL8W/VHPDwKPAyoqZIw5HzgN9VAII4wwwgjjP4h1z7uXo5OtBzvf6j2EFFk7w71z7Qz3YKCbCHtwxAGaCfwuGgpzZk627c7JtmutJgpgL7rALoOcbPtfqC/HfOCRuBG+aXEjfC6EaIT6wBJXkUjXa7PuQxcvVwMZQJtVrybMW/Vqwn/C1Hytga04fCcWfwCYEuoBN3w6zS5DFlx4dZYLzUZ2uGQB6PdkAb2OoI7/WuQNSdmHklNdUAKyDPKHpuzLH5oyEYgFmec4RIjgAtqIMB44a9sAz6BtAzzvbBvg8Zc/vgY4hLwCyB2U6uQOSk1Ew1H/gfpgnc5Bz6t9wAexb6RdAuSg3kQrgba5g1PH5Q5OPZxQqFqh4MYxfjAzxDFnAotAcPymFTB6a3/PIeGM6ALt64K7Eg9XNfUpStIck4RBAONRAuqQsKf8JFvyk+z5aDhoImq8LkA3hPnA+Xlj7Li8MXZ23hj798M4d4XkFUBusr0IuBhV0Xwcm+HrRbAtGlWkNnvEe0azR7yvoN5ddYErdz3g7rfrAfeuw7iWw8FzGCIxvIxwIoYmDrKcitUoR0SkbpliC9o39mw3yldZttyjHW+j5JSn67tjjiv/5urek3as7j2pH9BLBL8jOAitUJXmIOD/VvSYOnpFj6kVef3VBBX2jSt6TP0abYvvAU93W5Y4qduyREuEaFGV3aISx4qIW5QyCt1guBINEWyX0ze9ShP3fyOWRxj54pQ6f+b5xSoCOK7ePgu4efetSWXGCef72GhUuX2k43QUSnD/WxEmr8II46/FaSKaXSTweGr5AsYYC90JGFX+vTDCCCOMMP5jGI36sSRXVsCJwDIWZ1glfINFAYb2GFLFMKjjSJ+rsuNqgD1UMCkGyMm2g6oXHxr2MleE0wxE4MgOdEd3Gmoafe6qVxMeXPVqQm1UX0eEjZpZ8DkD5yGMdAx7rWJ+jNwrFS0QYlGS7kgmxeuBnzi2CYMZaFjlpBaz0ytMB2+5pNBy0UbEKjKGHOAkMG4RM7L1vAknHsG59wDRLWanV9iecwelPoEuvloBq0Wkqb4jayxLnkF38o9DN+v+kTs4tUIj+b8QL4Ax4ph1ILswUrznl7qVeVp14gjaYtq584KEQa/UzwZW+D0d7chPsr9G+57rYzJ9cZUUKwKaYogANhg1Yr8aYXSLSaWqqMNB0M+qwr4xN9neSIjqxfi5FQMIxeKiHUroXwVMANruesC98AiupdbIG2NvBDZicS7Ca/gpcery4XbPIcb0oG2xGPUjOlwsAuoBlxxBHf+1WNVrsqBrpVNRsrRCuCwn0hhzql+sLy3DV6jn2jigf8Co/XBR6Ti9osfUP1A14FNolM0rAqeAcTnCbpTozkSjcNrk9E1Py+mbXmtvq8PFY3EvO8ALUZbTNdKUjNxXGLm/3Unffrf71qSKEsK0R62ljmScXoner3/7OB0mr8II4wjRs2dP2rVrR7t27QDaGmO2BP7617CKkcAiETnES6Q8jDF3GGPWG2PW//hjVR6XYYQRRhhh1AbrnneXhsh0vtXbpPz7nW73/h14C8MuA52wTAyquhLgZWBbx5G+mzuO9B2On2iFO7pB5GTb/pxs241ma7vCCHGCYJWQgpqtDgL6rHo14XB3lI8UM4Fig7nEVYzf5edMDqYHD8WRhmmRk2370RDOPnEjjogw/K9F3pCU0BCZ4eXfj52TdhIadtICY67YfpXnfDBx6MIoFdjdet6ESa3nTTjlME4fJD7rVVYgd1Dq26jSIBIkaIdwIZoJMh0NEVzw14YIVoyCG8fsAt4HczMWqwQrEjGHqIaaPDn1eDSxwpEs0EAJg4ZoSNKxiodRX6fMmEyfCX0j8P8jqCIvC4t41Od1Muq/tLnFJN/cFpN8Hak9KlVeBZGbbAdVL0sF8WFADH4Mk1Aite2uB9yevzJEsBo8B5wnLj6SKCIkgrube72HqGzRvnFzwV2JhRW8V1OsQP0Ej1lif1WvyWsJ+FR2fXfM6eXf/9t7o/sA84xhC5g4Y2iGegDWBWYDm7stS7w24INVW1Q5Tq/oMbUENZBPAq4WMa1AcMR4UBXSFTl90/v/1SGCVWAGICdG7W/nWJbrzBN+az53Z8fuFZQ74nH6PWd2ITpG9b3MGmKqK18bhMmrMMI4QixdupQtW7awZcsWgK0i0i7wtwD4lzHmdIDA4w8VVNEVuMcYU4DG499kjJlc0blE5GkR6SQinU455XDmpGGEEUYYYVSBCkNkOt3uvQRdpBYAl65/1v3Dxids/8Yn7NfQXcrBqKHrDGBHx5G+2zuO9EXV4rxVTopLITyJw4tiEWkEv9GsdK1XvZow9z8UIlghNj5h/4Sazt4osB1hL+DtdLu3/D3ojH7WHUd4ykWoP0yn6goexSgNkWkxO700RCZ2TtqJ6KKgFdA/d1DqUoDPB47f+PnA8YPQ9vg2Sn4VtJ43YWrreRMa1+K81RIGALmDUjeCjEAJLD+wCmiXOzg19T8RIlgNngOaIGafMQAy7JznM8u3lfMDj0dKXi0FSjiGCYP8JPv3/9fevcdHWV6LHv+tmYCwpQp4KyIXwYCotCZE5IjdTSWIF4og4rVu3JWtAWt1IECippRLTyIg49GzoVKlorVeEGJti9vGKG2xYOXiKSjCQEBBvICAqLVCMuv88byDwzBJJskkM4H1/Xzymcw772Vl8szlXe/zrAdXt2wQUcN1vcRVpEdoEJi4eVJAQ0WBXaGiwD24JNY03NChNZklwd9nlgT71+PQibXFewL7FW5V+AgljHsvHlZ59/ihlXePb9Cslkn0W+BrCXORd/9k3GvzkKhi7Y1qi+tnBf4JvMZR3BY99+LqrE2JXjiwfPIQ3BD7t4HBrw++f++yQbOrlg2a/QSubuWNgOD+J2/nVhTcnFtRUJ+LTXV+Ti8bNFuBoCrPCeEMhWqQKcC5a66Y8cd6HCvpHs5+ajvwsgi3hGHz51Vt/gk8uGRLVmwi7wLc+eqORh5yKa6W2zmN3M9hLHllTNN6EZfxx7v9XewKqnqTqnZV1e64brBPqGpthd2NMcY0gTcXjD80ROaCH8/JBsgZM+di3Jew9/ASV9HbrJ0bCK+dG1gMZOHqHO7BzagVyhoXHJs1LqH6I3V+Kc7OD2ahrED4T20lWt1Krlvx9IR7mnOIYB0eA07SDKqAz4CzcCe10XKANX97dkJDajFF+xMuyXjUnqSFRt0XGSJzincbnbjqg0tcHVEnc8OIKes2jJhyPa4O0RLcDF1b+5RNfbBP2dTOCRy6zoRB7yXTOvZeMu0REV7w+fH5fPqMz8clm64pbtLJAeqhDNin1eJOmnzsAR70poaPiCSzVjfmQNP7lu3nmwL5R7N5uAkqZp41M+j3ElcP4GZi/T/AhM2TDi/EHioK7AkVBaYA3XA9Ai8C3sgsCf5PZklwYALHrLMtZpYEfZklwdsRNviQb0sVOwXObO4hgjUJFQb2AouBod4Msf8ACnrOmdMtarWeQHsan0gF91nV67yJwbOSsK+0tOLS0s249jjmf/2p8GyAgeWTL8WdY20A8l4ffP+e6G2WDZpdvWzQ7KdxtZxGAV8DTwDv5lYU3JpbUZDIxaY6P6dzKwouVGW1CNe28oerW/uqr1xzxYxpzTlEsA6PAWe09VV9uftgu49xFzvGxKzT2GLtES95t0l9b2xU8kpEOopIuYiEvNsONaw32lsnJCKjo5b3E5F1IrJZRB4SN/V0jfsV5yFv/X+ISHYCx/iFiGwXkS9iYjpORJ719vWGiHRvzHNhTA1KgcEiEgIGe/cRkRwReTSlkRljjInn0BCZnFvnDMR9AduOS1x9XNNGa+cGdO3cwItAf9xwmQ+AucCWrHHBn2aNC7at5Zg1finOzg+ekJ0ffBBlFdCXMKBcv/qx8Ysb8sc1oXJgeziDTgInoywFinPGzDkV4KLrHsjAJfgafYK2Zl7gU1yNr6M6YRAadd/fcUNdJmQumn42Lml3LjBi08jil2vbdsOIKRs2jJhyM66H1tO4IaeVfcqmzu1TNrVrLZvWmDDovWSa9F4y7T+Ad1UZo+7U5llEbk7FEMGabLu58CvcUN4LVMHnD/8WGIib0CAiB9i2Lb9gdxIOuRToW7xuRJck7CstbZ4UOIDr8fId4CZgFi4x+jAQiE1cRQsVBT4LFQVm4HpiTcZN2rA8syT4amZJMDezJFjTsKJID764742ZJcHvAq8DvwSOQ9gpPum3pWB8Q4rDN6XHBDkRZR8uuaK4+kcRjR6mFSVSAPzyJOwrnU3HtY+SgeWT83CJq3eJk7iKtmzQ7PCyQbOfx30WDQf2AY8Cm3IrCvJzKwpqu9hU4+d0bkVBh9yKgnmqrAB6VauEw8hVr186s9b36RR4Edh9fMaBkw5oRntc794ZS7ZktQcIf9TreFxPqUa3xfLwoh24ZG36JK9wBckqVDUTN87+iN4iItIR163vQtwXuilRSa55wG24Mf2ZfDPVbE37vTxq3du87es6xu+9ZbFuBfaq6lm4q6z3N+DvN6ZWqvqpqg5S1Uzvdo+3fJWqxma6UdXHVfUnzR+pMcYYgDcXjP8MmK5uiEw5sBOXuEpoRjIvifU/uJPlPGALrmfC1qxxwQlZ44Lxvvwe8aU4Oz8o2fnBa3AnOz8FVqG0EfjZmvmBRQ39+5rK2rmBauBxhO4qtEYpxdVNigzBPAc3G1gyTtDAnaTlZI8Nnpak/aWre0BbI/wF12tgxKaRxS/VtVHEhhFTQhtGTPkx7rvz47ir7Jv7lE39VZ+yqT3ibBI3edV7ybQ+uFnbFqryEXAAZAXILZtGpk/iKspjIK01LEir8CbgLWBmtwUzI7W8Gj1MK8qxkjB4DvecPQxMAP4buKu2xFW0UFHg81BRYCZwJjAe14PwNeAvmSXBwbFJrM2TA9W4Gk6HtcXMkuC3MkuCD+B6zfXE9Yo9gHBZqDAQrzxHqi0DtkoYH27Y4P3AtT3nzIkUVs/B9QR6u7EHWj8rUIkbln1UJ/ZXXFq6C7gfdLgqfwRCuMTVp4ls7yWxfocbInclbtbQecCW3IqCO3MrCuJdbDriczq3okByKwpuwiXOblNYVY20UWTC8rxZzTWTYMIezn7qAPBkK6nu5kM77D7Q7h7gJFxBe4DzcfmhZL43XjzYN+rEJO2v0cmrq4CF3u8LcRnMWEOAclXdo6p7cV8EL/Pq/5ygqitUVXFd9yLb17Tfq3BDqlRVVwLtvf3EPQaAqq6MzPZWS+zPA4MiPb+MMcYYc0ybBzwDrAV+sOrR8fG+R9TKS2JVrJ0b+D6QC6zH1TXcljUuWJg1Lhg91fdhX4qz84M9cHWLFgGfEOYeUfqLq9VxRPHpNPJrRCTsB1+YKtxJ7picMXPOJ7m9CwAiV7Qvq3WtFi406r7NuBOLd4GRm0YWN+iEaMOIKVs3jJhyO24453zgP4BNfcqmPt6nbGqvqFUjyat2AL2XTGvbe8m0GbjZss5XZTJuZsOPcYm0dBkOc5htNxeuBV2rYVERuuKGt3UBCrr/cnZHoAfJa4sbcL0zr0zS/tLS5kmBMK68xWu43k53Jpq4ihYqCnwZKgoEcf+DO3HJrD8BKzJLglfEJLG+xGuLmSVBySwJXo2biXM8rsfMSoQuCNeHCgONmamvyYQKA2FggaicgHIWrtfaduDBnnPm+HHvjW9tyy84mKRDlgM/OG9isMZJF44SQVxC9e/AoNcH31/vXpTLBs3WZYNmL8UNaR2MGxr7EFCZW1EwPreiIDpZdagtAuRWFPTGDeP+DbCtWuXnYXwXgDyCu2CVrh4Twd/Wf5CX9/b9DDeU8M4lW7J6k6Th1FFexs1cmJek/SGqDb9YIiL7VLV91P29qtohZp0CoI2qzvDuF+MK6S0DSlU1z1v+PWCyqg6tab8i8gdvm+Xe8gpc99PceMdQ1dlR+/hCVdtF3V8PXKaqO7z7W4ALVfWIhi8it+F6etG1a9d+770Xb1ZJY0BEVqtqsxSQzcnJ0VWrkvW9yxxtmrMtgrVHU7vmbo/pKmtc8CJc7ZfLcLWxHgQe9h/QCcC9YT9tcN+binFFoIsJs0LcyeJbwCWr5wfSMlkQkTV2zgqUARn/4ibNYCnuivjbrT7Xd8QNN+rwt2cnxJsq/gjZY4Mn4E5we8bc9sDV0TkIDFszL/BKU/wtR7M+ZVNPx9XSysfNhPUM8IuqKn8b3InLCJ8//C9c75oewJOq/AxkCa4X10WbRhanZbIgovuTpXcA/9eXUV1eecO9l3ZbMPM5YCgHZYyoPAXkbcsvqEhkX8XrRrTGtbnYthi5PR54aHrfsrua4m85mmWWBI8DbgGKcM/xatywsBfVxzZgmYT5OS4ZfiVuKFI+wg+9bQKhwsCDzR954jJLg2couh0f1eqnNcK1wNOK/lf43zQILNyWX5DQyIvzJgZ9QCe+eS+MbYunAmuAy9fPSsueaGktt6Lg+7gLBpcAu3C13eYeDPunAz9u5as+FdfuCnE5jcIqlXdAXsENw7t8ed7MZCUim8Qdq29aX62+c3cdaPfDm05b+SawCfjr8OO/3Atc4vv2pkTqIwLg9aqq6X2xK25459Dy8KK/JCP2Oivsi8grQLxZSu5N8BjxejNpLctTva8jF6rOx12lIicnJx27RhtjjDEmza2dG/gbcHnWuOAFuATVNKCgOoNVvioE17vlbFyB37sljOKuKu8CRqR74srzCD4ZEM7QkeqX53zVWgzMC2fQ2V/F6ujEVfbYoA/oTM0JqpNj9r0HNwxzFfCs93tCyQdzuA0jpuwEAn3KppbihoCNA27w+6tfrq72IaKFuHIcG4FLVOXPuJ6A3wWGpXviyvNb0IfC1ZLdfeH97UAmAcPw6ySqBNwJPgDF60YI0IH4bbEncAaHj1j5F66XRiVuOGUl7nVr6ilUFPgaeCSzJLgAuBl3jvkC8A/cULts3JC6MK6tPoRwIy6BMJ/07uUCQKgwsOOs0jlvE+ZchCz8PIurQ1eK0g45vBfgeRODbXE90uIlqM7EDcGOCON6clXiahpVAn+2xFXDLBs0+8/AoNyKgoG4z+lSYJJfwuuqleNVWS9CT1xdvQlV6jseeAPYCoxK98QVQFjl16184dknZnw1svLAqS/1aP3JdGDWzir/9tMzqg9ri4N9o/y497+akqUdY3a/G9cGV+J6i29MVuIKEkheRXpGxSMiH4tIJ1X90Bu+F+9FsgPXMyriDFyvqx3e79HLd3q/17TfHbguv7Hb1HSM2kT2tUNEMoATcV+KjDHGGGOazNq5gTeBYVnjglnAffjkavXpAZS2CFeu+WVgab/bgsfjruKeAFy0en6gxmLxaUXkGanWO8PC1QKfhX2skTC7q9pwVnVYdmSPDT7MN196z8T1+omoBt7HJaWWeLeV3u3WNfMC+5r3jzn6bRgx5WNgUp+yqTNxBbh/6veHD1aHJUvcidusjVf/7Otei6f/b+BqILBpZHFKp3xP1LabC/d2/03JQlSuBvaLX9/RMBtbtar+bs9Tdu3t32Pb5OJ1r0efiMXWZfkE1/b+yuFtsRL4aHrfsoR6EJrEhIoCB4EFmSXBJ4AbcEmszt5PGXB3qCiwPbM0eDFuyOCrwE9ChfUfupgSwhygCGWVVLNTISR+OSnjM2i9X/qdNzGYyzdt8fSYrb/Etb2NuDpC0W3xvfWzAgea7e84RiwbNPt14LLcioL+QLFPdKiqHFSlWoS8ZYNmV1z8yqQTce3QDwxdnjdzb0qDTpBPmH8w7Bvduc2eW4Brth44ZW3XVrv3vfbWt7p8+NS33il/dlSkx21P3EQLraI2r8LVmavEDduMbouV5eFF+5sy9sYOG5wFfKqqpSJSCHRU1Ukx63TEdf+MzAy4BuinqntE5E3cWOc3cC/Eh1V1aU37FZErcVnqK3BXgx5S1f61HSMqjthhg3cAfVU1X0SuB65W1Wvr+pttaIypjQ0bbLgX1n7ArJc3snPfV5zevi0Th/RmeFbCvVZNDBs22Dj3vbCOp9/YTrUqfhFuuLALM4b3TXVYLZYNG6xd9u3B6Sj3AWeumR/Y1u+2oA/Xy2U4MGz1/ECLSBZEZN8e7IgrXn0B0J+w9hPVz7WV7yTgc9wX3dhkwBZg+5p5gbS/an0067142tnqajgVbxr5sxkAvRZPH40r9j4fyE/TAu1xdV94vxDVFlXp39Z3sN2orNVtcMNOtxG/LW6d3iR13JEAAAzXSURBVLfsi/h7Nc0hsyTox9Ud3B8qClwMkFka7IE7b9wDDAgVBlpEsiDirFlz+gI/wE0mdoH6tNdxu2Wfr0ra42aojfTmi22Tu9bPaiFJuqPU916Z+KDCXQId/po3a9/Fr0zKAP6Am9zl0uV5M19LcYj1MnvDkFP45r3xghN8/8reOTfjs9cf7ngy8BmHf05Ht8Xt5eFFVSkKu+6eV3UoBZ4TkVtxV8pGAYhIDpCvqmO8JNV04E1vm2lRSaWxuA/DtripqF+qbb+4BNcVwGbc+Mn/BKjtGCIyE7gR+DcR2QE8qqo/xxUne1JENuPeAK9v5HNhjGmgF9Z+QNGSdXx1sBqAD/Z9RdESNyLBElimud33wjp+s/L9Q/erVQ/dtwSWaQqih3qef+XdzsDr5dLSElcAax4J7MENqXgKIPv2YCtFOuF6D+xZM89OwtKVIpHebbsBei2efjHwK7xeLi0pcQWwbfRkxZ0/LAWXzKoS30m4GlU7pvctq05lfKZmoaJAdWZp8Eu8SQQyS4Mn4maR9wNDW1riCmDzxPHrgENDbs+aNaeDhGkH7F4/K/BVzVuaVFNkp7slcoFlDm7SuP9qaYkrgII+L+/CTZj3BMDsDUNa79h/3GnAl+XhRWk7Gq1RPa+ORUdb7wKTXNbzqmEGlr7KB/uO/Mzu3L4trxdekoKIWj7redVwPYuWUh3ns9EvwpaSo3r26SZjPa9q1++24FhgLq7G6BDcbMjzgfzV8y3RY5pPr8XTv42bNn4sbga4Q71cNo0sbnHJAtOyZZYGVwD7cYXaI71cBocKA8tSGZc59lz8yqSJwEzcjIOjcZNZzFmeN3NCSgM7xjS255UxxjTazjiJq9qWG9OU4iWualtuTBJdSFQtF0tcmRRqi0sW+IGhlrgyKSRE9XKxxJVJsUuAh3Dvj5PqWNckma/uVUxdVr+3l/9+bTOr37PPdWMa4vT2beu13Jim5Jd4k9HWvNyYJIgkqRbgZiy6ZvV8q/1kUiLSFscAmcDITSOLQymMxxzbFDcR153AA6HCwKMpjseYJ4F3gBuX5820YcfNzJJXjbT6vb3c9OhKHvjTRm56dKUlsIxpgIlDetO2lf+wZW1b+Zk4pHeKIjLHshsu7FKv5cYkwXHerR8Yunp+y6vlYo465wBjN40sbnG1XMxR5QTgbFwvl8kpjsUc29p4tweAHy7Pm/l5KoM5VlnyqpFWVn7KgaowYYWDVWFWVn6a6pCMaXGGZ3Wm5Oq+dG7fFsHVuiq5uq8VazcpMWN4X340oOuhnlZ+EX40oKsVazdNqRx3cnbD6vkB6+ViUmk/bojW3E0ji62Xi0m1mUAFcGOoMGC9XEwqvQi8DIxYnjfzvVQHc6yygu31FFuUONLz6mBVmFYZPp4aM4B+3TqkMEKTSlaw3aQLK9hu0okVbDfGGGOMMY1hBdsbqV+3Djw1ZgArKz9lQI+TLHFljDHGGGOMMcYYk0SWvEqCft06WNLKGJPWRKQj8CzQHdgGXKuqR9TVEZGuuNnOuuAKpV6hqtuaLVBjjDHGGGOMiWE1r4wx5thQCFSoaiaufkRhDes9AcxS1T5Af+CTZorPGGOMMcYYY+Ky5JUxxhwbrgIWer8vBIbHriAi5wAZqloOoKpfqOo/my9EY4wxxhhjjDmSJa+MMebYcJqqfgjg3Z4aZ51ewD4RWSIia0Vkloj4a9qhiNwmIqtEZNWuXbuaKGxjjDHGGGPMsc5qXhljzFEiLy+Pjz76KHL3XBFZ7/1+b4K7yAC+B2QB7+NqZN0CPBZvZVWdD8wHN9tgw6I2xhhjjDHGmNqJqp1v1IeI7ALei/PQycDuZg6nvlpCjNAy4qwpxm6qekpzBFBLW4yWjs+lxVS3ZMRzWFsUkY1Arqp+KCKdgGWq2jt6AxEZAJSqaq53/2ZggKreUdfBEmyPjZFu/6NYFl/tmu290RhjjDHGHH2s51U91fTlW0RWqWpOc8dTHy0hRmgZcaZDjImcCKZDnLEspro1UTwvAqOBUu/2d3HWeRPoICKnqOou4BJgVSI7b+rERLr9j2JZfMYYY4wxxjQdq3lljDHHhlJgsIiEgMHefUQkR0QeBVDVaqAAqBCRdYAAv0pRvMYYY4wxxhgDWM8rY4w5Jqjqp8CgOMtXAWOi7pcD32nG0IwxxhhjjDGmVtbzKnnmpzqABLSEGKFlxNkSYoT0jNNiqlu6xZMO0v05sfiMMcYYY4xpIlaw3RhjjDHGGGOMMcakLet5ZYwxxhhjjDHGGGPSliWvkkBELhORjSKyWUQKUx1PLBFZICKfiMj6VMdSExHpIiKvicgGEXlbRO5KdUyxRKSNiPxdRP6fF+PUVMcEICIdRaRcRELebYc465wvIiu8uP8hItdFPfa4iGwVkbe8n/MbEUutrwUROU5EnvUef0NEukc9VuQt3ygiQxoaQz3jGS8i73jPSYWIdIt6rDrqOXkxGfEkGNMtIrIr6thjoh4b7f2fQyIyOlkxpYt0assxx0yrdl3P2Jq9jRtjjDHGGJNsNmywkUTED2zCzd61AzfV/A2q+k5KA4siIv8OfAE8oarnpTqeeESkE9BJVdeIyLeA1cDwNHseBTheVb8QkVbAcuAuVV2Z4rhmAntUtdQ7ee2gqpNj1ukFqKqGROR03PPbR1X3icjjwB9U9flGxlHna0FExgHfUdV8EbkeGKGq14nIOcDTQH/gdOAVoJc3+11TxvMD4A1V/aeIjAVyVfU677EvVLVdQ4/fiJhuAXJU9Scx23YEVgE5gOL+h/1UdW8yY0yldGnLMcdLq3bdgNiatY0bY4wxxhjTFKznVeP1BzaraqWqHgCeAa5KcUyHUdW/AHtSHUdtVPVDVV3j/f45sAHonNqoDqfOF97dVt5POmR/rwIWer8vBIbHrqCqm1Q15P2+E/gEOCXJcSTyWoiO9XlgkJcUvAp4RlW/VtWtwGZvf00aj6q+pqr/9O6uBM5o5DEbHVMthgDlqrrHS1iVA5c1UZypki5tOVq6tet6xZaCNm6MMcYYY0zSWfKq8ToD26Pu7yDNki4tjTfkJgt4I7WRHElE/CLyFu6EuVxV0yHG01T1Q3BJQODU2lYWkf5Aa2BL1OJfeMOKgiJyXAPjSOS1cGgdVa0CPgNOSnDbpogn2q3AS1H324jIKhFZKSJHJFGaOKaR3v/jeRHpUs9tW7J0acvR0q1d1ze2aM3Rxo0xxhhjjEm6jFQHcBSQOMvSoTdOiyQi7YDFwN2quj/V8cTyhvucLyLtgTIROU9Vm7yWmIi8Anw7zkP31nM/nYAngdGqGvYWFwEf4ZIA84HJwLSGhBlnWexroaZ1muJ1lPA+ReRHuOF4349a3FVVd4pID+BVEVmnqlvibZ/kmH4PPK2qX4tIPq5HzyUJbpv2WkhbPuxQcZalsl0nctwjV2y+Nm6MMcYYY0zSWfKq8XYAXaLunwHsTFEsLZpXR2ox8JSqLkl1PLXx6ussww3bavLklarm1fSYiHwsIp1U9UPvhP6TGtY7AfgjcF90na5ITxfgaxH5NVDQwDATeS1E1tkhIhnAibghrU3xOkponyKSh0ucfF9Vv44s94akoaqV3v86i8N7+DRJTKr6adTdXwH3R22bG7PtskbG0+xaSFuOlm7tur6xNXcbN8YYY4wxJuls2GDjvQlkisiZItIauB6wWZvqyasP8xiwQVXnpDqeeETkFK/HFSLSFsgD3k1tVIBrb5GZ50YDv4tdwWubZbii/YtiHuvk3QquxlBDk3GJvBaiY70GeFXdrBEvAteLm7XtTCAT+HsD40g4HhHJAh4BhqnqJ1HLO0SGnInIycBAIBmTByQSU6eou8Nw9d8AXgYu9WLrAFzqLTuapEtbjpZu7bpesaWgjRtjjDHGGJN01vOqkVS1SkR+gjuJ9AMLVPXtFId1GBF5Gtdj42QR2QFMUdXHUhvVEQYCNwPrvJpSAPeo6tIUxhSrE7DQm+HLBzynqn9IcUwApcBzInIr8D4wCkBEcoB8VR0DXAv8O3CSN5sdwC2q+hbwlIicghuC9BaQ35AganotiMg0YJWqvohLUD4pIptxPVOu97Z9W0Sew508VwF3NHZGtgTjmQW0Axa5fAfvq+owoA/wiIiEcf/rUk3CzJcJxvRTERmGex72ALd42+4Rkem4hAXANFVN64kYGiAt2nK0dGvXDYitWdu4McYYY4wxTUHcxWFjjDHGGGOMMcYYY9KPDRs0xhhjjDHGGGOMMWnLklfGGGOMMcYYY4wxJm1Z8soYY4wxxhhjjDHGpC1LXhljjDHGGGOMMcaYtGXJK2OMMcYYY4wxxhiTtix5ZYwxxhhjjDHGGGPSliWvjDHGGGOMMcYYY0zasuSVMcYYY4wxxhhjjElb/x8G72BRkj5VRgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_eigen(laplacians[1], plot_edges)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.3 Triangles (2-simplices)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_eigen(laplacians[2], plot_triangles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.4 Heat diffusion\n", "\n", "We study the following dynamical system.\n", "\n", "$$\\frac{\\partial s(t)}{\\partial t}=-L_k s(t)$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "values, vectors = [], []\n", "for j , laplacian in enumerate(laplacians):\n", " w, v = np.linalg.eigh(laplacians[j].toarray())\n", " values.append(w)\n", " vectors.append(v)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "class Heat:\n", "\n", " def __init__(self, t, lmax):\n", " self.t = t\n", " self.lmax = lmax\n", "\n", " def __call__(self, x):\n", " return np.exp(-self.t * x / self.lmax)\n", "\n", " def plot(self):\n", " x = np.linspace(0, self.lmax)\n", " plt.plot(x, self(x))\n", "dim=0\n", "heat = Heat(t=10, lmax=values[dim][-1])\n", "heat.plot()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100,)\n", "20.000000620898522\n" ] }, { "data": { "image/png": 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8lhOeQkDSw9mbG/vegVWJbHXicxxG39NuZH+rZ8iqdfvqFHR9VE3ncF4x/dpo9vj+cD4l1a4GCufk+G99t5WHL57RpvHbwg3L3mFn6fHaFZuOS1f52Tcf8cGc6xiUHHxzD8CBqiK/+2t0L6Xeam7b8Cwlnqra5qWnVvWaNKhSXbx3ZA039Z8VEtnOhAJXGf+782PWnNiDIhSmpA3GYpFgnPr3FhjYz6D2yFMTf8Ada95jY9ERbIoFTercNmQKc3oOCeZHCCk9Y7N4eOgfKVdLUVBIsCWFW6QACV6PQyHEHOBpwAL8U0r55GnHfwrcAehAFbBQSrmz9tgDwE21x+6SUi5ubq6AJBZCzBFC5Agh9gkh7vdzvLcQYpkQ4nshxFYhxIWBjBsq4uP8r2503SCuiWOtobi6xm+okS4lBeXhS3feXVrI3vKiRo/UXkPj37vXh2zenrEpfvc7FCtbyw7g1pvuLu2VGt8VR05UgEvzcv23z7KqcDeq1PEYKkvyd+ExVCwWWbfpQue1A+ta5TgESLDH8J/p1/Dl3Nv497T5rL3kHm4fek6IPk1oSbKlRJGCPuk4FAFtzSGEsADPAHOBocB8IcTQ0057Q0o5Qko5GvgT8FTttUOBq4BhwBzg2drxmqRFJR2gQA8B70gpx9QK8GxL44aSKy8aR4yjYWC9ogiy+3YlIy2xzeOP6Z2JqjdeqTttVqYO7Nvm8c+U465Kv81DdSk5XFUWsnnvHDyTGEvD7zvGYuOmAedywlOBKv3V7/AhEGQ6/Sv5cLDk2FZqNC9GvZuK6t+MjE2xNPkU0RLd45IY06Vnq8wlJm0nSBmHZwH7pJS5Ukov8BZwaf0TpJT1YyrjoO4HdSnwlpTSI6U8AOyrHa9JAllJtyhQrQAntV8SkB/AuCFjxpRBXDZnNHabhTinHWeMjaweqTzx69PFPjPSE+JZcPYYnLZT1iKH1UJmciKXjA7fY+vQlG5+s+QcipXJ3bJCNu+0jEE8PuoyujmTEECSzckdg2Zw44BzGZLYEwtKvRC2hitqu2Llx73PDZlsrWVPRT4uvWHkghCS0+UG3xNKpjN6VpKdnZMZhwGupNOEEBvqbQvrDdUDOFLvfV7tvgYIIe4QQuzHt5K+qzXX1icQm7S/QSeeds7vgSVCiJ/hu2uc72+g2g+6EKB3794BTH1mCCG447ppXHXJeHbvL6BLShyD+mUENRvqF7PPYVSvbry2djNVbg8XDMtmwaQxOO3hS41Nd8ZxTfYY3tq3pS4W1yoUEu0OFmSH1vN+QY/hXNBjOKqhYxVK3Xc9PCmL4Um92VZ+CHe9+GABxFud/HrI5QxJ6hlS2VrDgIRuOC22BrHMNouBR2v4ROpQrJybMYD0mPaJTKlQa6jS3GTEJJ9RlqOJj1Y0oi1qplu4P0XS6C4upXwGeEYIcTU+a8N1gV5bn0CUdCCDzgdellL+RQgxCXhVCDFcyobGUSnlC8ALAOPHjw95cd4uKXFMGd8/JGMLIZg1LJtZwwKLmnBpKsvy91HhdTO5Wx96x4fmEf/hceczLLUbL+3+jnKvm5k9srlz+BSSHc6QzHc6NqWhMhNC8KcxN/L2oZV8kr8eXRqckzaE2ZnjyE7ojlWJLG/77O6j+Mfer/DoWp3Jw2FRyIiJw6NZKPFWI4C5PYbz8Kh5IZenSnXx2I53WFeUg0UoxFjs/GrIZUzPiPz6J5GGlKAaQbnB5QG96r3vSfPWg7eA587w2oCUdCCD3oTPCI6U8lshRAyQBhQGMH6HZ3PRUa5b/haGlBjSwAAWDBjLb8bMDHqtAyEEV/QbEVFFjOyKlWv7zuDavuGLegmUWKuDlyffxpM7PmJt0V4sKMzsNpxfDr2YRJuTUm8NsVZ7Ixt8qPjNltfYWnYAVeqoUsdtqDy2/W0yYpIZktSr5QFM6vCZO4KipNcD2UKIvsBRfH64q+ufIITIllKe9IjPA06+XgS8IYR4CugOZAPfNTdZIEq6RYGAw8BM4GUhxBAgBjgRwNgdHs0wuHnlO1Sqngb739j3Ped068u07qFZ6ZucOZnOFJ4ef31dJ5b6N9JUR/vFc+e7SthWfrCR49VjaLxxaCWPjbym3WTpKAQj41BKqQkh7gQW4wvBe0lKuUMI8SiwQUq5CLhTCHE+oAKl+Ewd1J73DrAT0IA7pGzGs04ASjpAgX4BvCiEuAefKeR6afYaAmBj0RG8fiJBXLrKW/s3n7GSllKy9sQBdpQdo3tsMjMzB+GwdMiw97AR7opuJ9zl2IQFLw2dwRLJUVdxmKSKXk6G4AVlLCk/Az47bd9v673+eTPXPgE8EehcAf1VByDQTmBKoJN2Jry6TqPqPLXUd6S1Bpemcv03/2FveSFeQ8dhsfIHyxe8Me0GesdHfv0Ek8DoF9/Nb/iiTVgYm2I+gbWe6EwLjz6Jo4zx6b0w/NRrcFptXNpn+BmN+ULON+wuO06NrqJJg2rNS4mnhl9t+KCt4ppEEAk2J1dnTSWmXjF9BYHT6uCqrOCHLRpSJ79mB4eqN6H6qXTXETBq+xy2tEUS5vNxiHFabfzxrHn8at0n6IaBKg1irTbGpfXkot6n5wQFxgeHtzSoIwFgINlZVkCZ10WyvX0iOUxCz839L6B3XFfePLSScm81E7pkc2O/80lztD0pqz6F7v18eORBvIYLgUBKg/Mz72Fw0nlBnSec+KI7IiuaKBBMJd0OzMsayvDUTN47sJUyj4vzegxgWmb/M65O15y533QFRD8VahVrijZRrbsZkzyE2ZljmJ05JmTz6VLlvcP34dYbNh748thTdI3pT6ojdDkN7YnZPsukWbISUrh35LSgjHVRrxG8un9dg0pqAshOTCfFERuUOUzal/2VhTyXs5ydFXtwOI5jFQpSGrxz5DPOTRvPHQOuCZkj82DVBgzZOFNVlxrby75gasZCP1dFJ5FmyggE0yYdhdw2+Fz6xHch1moHfKUuE21O/jz+sjBLZnIm5JQXMH/lC3yVvwOrrQAw0KSGjoHXUFldtJENpdtDNr9Hr/L7BCbRqdFCV/OlvQlWgaX2xlxJRyHxNgfvz1jIioK9bCs9So/YZOb2HGYW64lSntq5BJeuEmvz4i9D2G14WVa4lgmpoUlQ6hk3CgN/USQx9E+IjjrXgRKN0R2mko5SrIrCzO6DmNl9ULhFMWkjW0vzWjwnlJ6GRFtXxqRexpaSj1ClL6rDKhx0jcmmf8LkEM7cvkgp0EwlbWISfsrVcl4/9DqbyzYjhGB8ynjm955PvDU+qPN4dJUVhds55i5lcGJPJqQOQDmD4kddHPFUaR5cqg2B4HSVHKPYmdH17CBJ7Z9zu95Er9iRbC39FNVwMyhpOkOSZqI0X+o46og0U0YgmErapEOhGiqP7XyMUm8pBgZIWFeyjgPVB3h8+ONnpET9caS6iJ+ufxaPoeLRVRwWG33iuvL38bfitNhbNdbN2efwh22f4dJVCqoS6Jbgi7JQBDgUO2d3Gc34lDOLqW8NfeIn0Cd+QsjnCRfBzDhsTzqckt6Yd5T/W7WW/cUlDEpP465zJzGqe7dwi2XSTmws3UiVVuVT0LXoUqfUW8q28m2MSh4VlHke2f4m5WpNXccZl+5lf2UB/8ldyq3Zc1o11qW9xnDcXck/965CSDvHyh2MT09larf+jEsZTnZC6GqBt4Ra8zl5ZX9D1UvpFtOfhKT7EfbgfIfhwFTS7UBBSSXHyyrpl9mFBGdDR9mq3IPc/t7HuDVfONHxyiq+O5zHv358GWf1jpyaxSahI8+Vh8fwNNqvGipHXUeDoqTLvdXsqzzWqCWYV2p8cWxTq5W0EIJbB07jJ/0mccxVTlpMPIm28CckHS/9O8uKXkOe/KTuXAZV38jY7i9FpaI246RDTI3by30vfsr6PUewWy2oms6CmeO4/dLJdfGjj325vE5Bn8StafzhqxV8eKNZMawz0D2mOw7F0UhR2xQbmTGZQZmjOSdeWxx8TqudfgmhaRbcWnTDy/Ki11ER1C8pn6NaySx5hO7d3g+fcG3AjJMOIY+8+iXrc47gVXWqXF48qs7rSzfx6bpdABhScqCk1O+1OSfOrA+dSfQxIXUCTouz1gHnw4KFRFsiI5NHBmWOZHsc/eK7NZgDfHWzQ5kZ2J4cr/mmQZ/Hk+jAPlfL0SiRiJSgGUpAWyQRWdI0QbXby/It+/FqDWM53V6NV5ZsAEARgkSH/zjhlNjwPzqatA82xcbDQx9mZNJIFBQswsKYlDE8OORBLEGMVPjdiKtIsDnrnISxFgdZcelcFwWNDQLBwNrEmlOgEb3x+GYyS4iocnmarHNRVuWqe33TxHH849vvcKmnTB5Om5Vbz+64HmuTxqTaU7l74N1+i/YHi6y4rrx/7gMsPb6VAlcpQxJ7MjFtUIfpP5gROx4DK5yW5GJF0jcpOA2d2xvTJh1C0pPiiXfa8agN7c2KEJw1+FTxl59OPotKj4fXNm5BEQKJ5MazxvGT8aPbW2STCCDURfudFjvzujfVqzS6sSmxnN31IdYWPo6BhkRgRdLV0ZeslHvCLd4ZI00lHRoURfDA/Bk89NIXeDQNKcFqUXDabdx28am0VUUI7psxlbvOnURhVTUZ8fHE2KLiI5qYRBz9kuaS5hzGvopFeLUSesbPoEfcZEQUPy1Eo+MwajTYjDHZvHBvAq8s2cCRE2WMze7BdReMJyMlodG5TpuNrJTkMEhpcjq7K3L58OiXnPCUMiJpEJf2mEGKPSncYpkESKK9N2PT7gy3GEFBSjNOOuQM79uNP996UbjFMAmQlSfW88y+11ENFQkcrslnaeG3/HX0b+jiaN1N1JAaRe7v0Q0v6c4xWJXoLcl6uPoEq0/swqpYmN51BOkxwS3gb9IUAj3CIjcCIaqUtEn0oEudF3PfwWuc6uOoSZ0azcU7Rz7ntgHzAx6rxL2dVcd+jiFVEAIpNcalP0hWwoWhED2k/Gv/l7x+cDmGlAgheHbvZ9w/9ApmZ44Nt2idgmi0SUffbcUkKihwFaEZjctf6hhsLtsV8Di64WHlsTvwGmVoshrNqEKXbjaeeJxK78EgShx6ciqO8vrBFXgMDVXqeA0Nr6Hx5M73KPNWh1u8Dk+01pM2lbRJSIi3xaL76XQNkGRr7EdoioKa1X4L0htS40DFojOWLxx8VbAZ1WjcAcUiFFaf2BkGiToZ0meXDmSLJEwlbRISkmwJjEgaiPW0BBKHYueyHucHPI5qVCFp3G1douM1ytssZ3siaTptPML0QoclGruFm0raJGTcO+gGBif2x67YiLXEYFdsXNHzAialBZ463dU5Aemna4hFOOkeF5yeke3FzIyROJSGbiBfB2udCanZYZKq8yBrHYeBbC0hhJgjhMgRQuwTQtzv5/i9QoidQoitQoivhRBZ9Y7pQojNtVuLj4Om49AkZMRZY3ls+M8pdBdT4i2nd2wmsdbWpejH2jIZmLSAveVvoNd2DbEIJ2kxI8mMnRIKsUPGkKReXNFrMv89sgZV19Fk7epaWrhq9V+5Z/BFXNLTzI4NJcEwZQghLMAzwCwgD1gvhFgkpaxvs/oeGC+lrBFC3Ab8Cfhx7TGXlDLgDDtTSZuEnK4xXega0+WMrx/R5Q66OidwoOIDNOmid/xsesbPQkRh15DbB17I7Mwx/Hzjvyn2VALgrbVT/1/O+2wuX0WVXkaf2N5c0v1CesZ2D6e4HY4gRXecBeyTUuYCCCHeAi4F6pS0lHJZvfPXAgvOdDJTSZtEBRmxZ5ERe1a4xQgKirBQpbob2KFjLCrpceXkVPkqNua7CthQ+j0PDvkl/eP7hkfQDobPKRiwkk4TQmyo9/4FKeULta97AEfqHcsDJjYz1k3A5/Xex9SOrQFPSik/bE4QU0mbmLQzpd4qLIoF6sWQp8VWodTTHxKJx/Dy6qG3+f2wRiZPkzOkFeF1RVLKpgqz+BvEryFFCLEAGA/Ud6D0llLmCyH6AUuFENuklPubEsR0HJqYtDODErujNQjFk9gV/+GKudUH20WmzkKQQvDygF713vcE8k8/SQhxPvAgcImUsq4LhZQyv/b/ucByoFlPuqmkTUzamThrDLcMmEWMYqvbJ5sI+4qzRG/6e6QhERiGEh10koQAACAASURBVNDWAuuBbCFEXyGEHbgKaBClIYQYAzyPT0EX1tufIoRw1L5OA6ZQz5btD9PcYWISBhb0nUr/+AzePPQNpd5qejjTKfDsR5WnTCB2xc7cboHHlJu0TDDi0aWUmhDiTmAxYAFeklLuEEI8CmyQUi4C/gzEA+/Wlsw9LKW8BBgCPC+EMPAtkp88LSqkEQEpaSHEHODpWoH+KaV80s85VwK/x/c9bJFSXh3I2CYmnZVJ6YOYlD4I8NU6+deBV1lTtA6rYkUzNKanT+Gi7q1ramvSDK1zHDY/lJSfAZ+dtu+39V77vbtKKdcAI1ozV4tKOpCYQCFENvAAMEVKWSqE6NoaIUxMOjsWYWFhv+uZ3+uHFHmL6epII84aF26xmuWY6wCHqncRb0tmUMJ4bIo93CK1TBSmdgaykm4xJhC4BXhGSlkKUN8GY2LSWXHpLkq9paTaU4mxxAR0TYItngRbfIglaxuG1Hnn8FPsqdyARKIIK1Zh5aZ+T9A1plfLA4SRaKyCF4iSDiQmcCCAEGI1PpPI76WUX5w+kBBiIbAQoHfv3qcfNjHpEBjS4I3Db7O8cAUWYUGXOrO6zeRHPa9AieKuJifZVPI1eyo3okqvb4dU8SJ449D/8POBz4S8bdmZIgHDiEzZmiMQJR1ITKAVyAam4wtHWSWEGC6lLGtwkS8Y/AWA8ePHt+rBY9n+XJ5evYajFRUMTk/nl1PPYVRmZmuGiDpKaly8uWULG/Ly6ZWYyCVDBjO2Zw8Uxf8PbXtxAf/YsZYDlaWc1bUnC4dOJDPOLCjf3nyU/zErTqxElWqdI/Cr40tJtCYwNzP6bczrS5egnoooq0VSoZZQ7M0nzdEjLHK1iAQ66Eo6kJjAPGCtlFIFDgghcvAp7fXBEPLDHTt5eMlXuDRfbOm3h4+w4K13+c+Pf8iY7h0zbTa/opIf/Oc1qtwe9CoDRRP8d9U2UmJj+MMVc5g2qGEW2tK8fdy+8kM8uoYE9pSd4L392/lk3g30TjBbibUnSwq+xGt4G+zzGl4+L1jcIZS0LhuXWwVAiKaPRQiRVoY0EAJ59moxJhD4EDgP6mL/BgK5wRBQSsmTy1fWKeiTuDSNP61YFYwpIpK/rFxFmduNUWmgaKceZ0pr3Nzz1ifsKSiqO1dKyQNrv8Bdq6ABVMOgSvPy580r2l32zowhDWp0l99jVVpVO0sTGkYnT8cqfE5Ct26l2BNLlWbHIWJJd0S2TbquXmxLWwTRopKWUmrAyZjAXcA7J2MChRCX1J62GCgWQuwElgG/klIWB0PACo+Hcrfb77FdhSeCMUVEsuLAQQxNInQQp1mcvJrOK6s31r0/4aqmzNNYMRhSsqbgUMhlNTmFIhS6x/g3w/WO7Rh+mIld5tLVkUVuVVe2lWdyoLoLuysyyKnKokKtCbd4zSCQMrAtkgjIiyGl/ExKOVBK2V9K+UTtvt/WBm0jfdwrpRwqpRwhpXwrWALG2e3YLP6rnWXER7YXvC3E2m2IxrXuAZ/yPVxyytwfZ7M3efNPtreuNKhJ21mQdTX208LR7Iqdq3tfFSaJgotNcdAl5gLK1XgkCkbtdtxdzv/ufj3c4jVPR1xJhxurovCTsaNxWhuaz51WK3dNmVT3vtBVSZG7YzxOAlw7Zgx2h/+bk91i4ay+px4r42x2ZvcaiENpeL7TYmPh0I5ROS6aGJY0lPsH/4rRySNJs6cxNnk0Dw25n4EJHaew/6f536Ke1h5Nkzrfl+2hWvP/5Bt2JEhDBLRFElGRFn7POVPQpeS1TZuRgMNq4Z5zpjBv8CByygq5e+0HHKoqASA7KZ2nz76cPgmp4RW6jdw4fiy7TxTy+aYcqOdItwhBnMPONZMa1gx/ctJcKlUP3x4/jF2x4DV0fjJoLFcOGNnOkpsA9I/vxz0Dfx5uMUKGW/f63S8QqIYKBBYX3v5ElgIOhKhQ0hZF4b5pU7l7ymQq3B5SYp1YFYVKr5v5y16hQj2lxXaWFvDjpS+z8qK7cFii4uP5xaIo/GXehdw9ZTIvr9nE6t0Hcasa5w7sy50zJ5Ea17DwTpzNzsszr+RodTn51RUMTEonyRGpfygm0c6kLsNYUvAd+mn9J7vGpJAUyck4EWbKCISo0mIOq5X0+FMif3JkB6rR8EciAbeu8dXRHOb1HtbOEgafXsnJPHzhDLgwsPN7xCXRIy4ptEKZdHp+0vdCvivZSZXmwmOoWIUFq7Dwi0HzIzaZBTCVdHtztLocl6422u/RNY7VVIRBIhOTzkGqPZEXJzzA4oJ1bCvbT8/YrlzUfQoZMRFsZuzAySwRy6guPYi12qjRGipqu2JhZJeOl+SiGQaLduzig207sSgKPxw5nAuHDESJ5JVLFFPpXs2xsv/Bo+7FZulJZvKvSIqN/mSUPZVH2V1xhG4xKYxLzcZyhqnqcVYnl/eczuU9pwdXwBASjcksUa2kz8vMJis+lf0VRXgNn6fZYbEyLKUbE9I6RkzqSaSU3P7eItYePoJL9SX2bDqaz7J9ufzlkrlhlq7jUen+hgMnbkDWdij3aHs4VHwXPY0nSY2/PMzSnRmqofHg1lfYXOrr1KQIhSRbLH8fdztdYzpJVmqERW4EQsSH4DWHVVF467zruHnQ2fSITaJXXDK3DZ7Cy9OuiWy72Bmw7nAe6w7n1SloAJeq8eXefewoMIsOBptjpU/UKeiTSOniWNkTyGhcjgFvHVrB96X7cRsqbkOlRvdQ6CnnsR1vhFu0dkPIwLZIIqpX0uCLarh3xHncO+K8cIsSUr49eJgatbH9XTMkaw8dYVi3yCnh7dY9bCzdQrVWzdDEQfSMDa3p6WjNbraWfYkuNYYmTaNv3Jg236Td2j6/+zWjGCndCBF9SUKf5K/DYzT8DenSYEf5YSrVGhJsHbxVVwQmqgRC1Cvpk9R4VT7dmUNO4QkGdU1n3tBBxNptLV8YJSTHOnFYLHj0hgkENkUh2Rk5oXb7qg7wh11/Q0oDXRoIAVO6TOSWfteG5OlmVeFrrC1+D016AcnuilUMSpzCRd3vbdN8NksmXu1Ao/0WEY8QkfN9twbV8N/s1hfb7P9Yx0JEpeMwqs0dJzlWUcms517iiS+X858Nm3niy+XMeu4l8ss7ToTHxUMH+S1RKgRcMGhAGCRqjCEN/jfnGVy6C7fhQZUqXkNlTfF3rC/9PujzlXkLWFv8XzTp4eQSSZVuciq+Ia9mR5vG7pb0i0arZSGcpCfdHrWmtGldR2AVjbNYuztTSXUkhEGiMGCmhYeHRxYvpbjGVWcOqFFVimtcPLpkWZglCx5pcXE8d8UlJMY4iLfbibPbSI118tKVl5PgcIRbPAD2Vx3E4ycTzWN4WXo8OBULS7xlbCjZxsHqPHKrNuIvg0yVXvZUrm3TPClxl9Ij+fdYlC4IbCgigYzEu+iacFubxg0nN/S7gIyYZJwWX10Ru2Il1uLgoWHzwyxZO2IEuEUQHcLcsXL/QYzTnDmGlKzcfzA8AoWIKX2yWPuzW9l6rABFKIzMzMCiRM59Vpc6TS0y1TbWGZZS8s8Db/P18TXYFCu6NOgbCym2xhMqKNiVtpskuiRcTWr8VRiyCkXEIfysQqOJRFssL0/8BUsLt7C17AA9nWlc2H0CKfYIzhAMJmacdPiwKALNz92vI8YP2ywWxvWMzM4XA+L7NiqrCuBQ7ExNm+TnisD5+vgalhWuRZUaqu5T+LnVMCLR2+jGoAgLw5KC40gWQsEiOk53G4fFxtzM8czNHB9uUcJCpEVuBELkLMPawJzBA7GdtqK0KQpzh3ScqmPRgFWxcueAm7ErdqzCd/+PURwMjO/POemnt8VsHZ8cW4rn9G4nEnJrMrAKB3YlFrvixCJsXNDtdlIjtYWTSXiJQpt0h1hJPzRrOjuPF3K0rALNMLAqCj2SE3loVscOy4tExqSM4KlRj7Gq6Fsq1SpGJA9lZNLQNjdgbarbSbUez9VZj1KlHUSXGn3jx+K0dBInmEmnoEMo6SRnDB/ffC3fHjzM/qIS+qelMqlP7w5p7ogGujhS+EGPACtCBci4lBF8fXwNOg1DxeKtsWQ6M1GEuXI2aZlgmTuEEHOApwEL8E8p5ZOnHb8XuBnQgBPAjVLKQ7XHrgMeqj31cSnlK83N1SGUNPjsz1P6ZjGlb1a4RTEJAVf2upDvSrZQo7nwShUFBZti5fb+17Z5lW7SSZAEJS1c+DzIzwCz8DXhXi+EWCSl3FnvtO+B8VLKGiHEbcCfgB8LIVKB3wHjayXaWHttaVPzdRglbdKxSbEn8fSY37KkYBXbynPoFpPOvMzp9Iz130/QxMQvwVlJnwXsk1LmAggh3gIuBeqUtJSyfvzvWmBB7evZwJdSypLaa78E5gBvNjWZqaRNooZ4ayyX95zN5T1nh1sUkyglSOaOHsCReu/zgOY84zcBnzdzbbO2OlNJm5iYdB4CV9JpQogN9d6/IKV8ofa1P5uJ35GFEAvwmTamtfbak5hK2sTEpPMQuJIuklI2FUyeB/Sq974nkH/6SUKI84EHgWlSSk+9a6efdu3y5gTpNEpa0w0+/Xobn3y9DYALzxvOxeePwGqN7iwyExOTwAhiGdL1QLYQoi9wFLgKuLrBXEKMAZ4H5kgp69cSXgz8QQiRUvv+AuCB5ibrFEpaSsn9T37A5h1HcHt82WoHjhSx8ru9PPXwD6O2YI6JiUkrCUJ0h5RSE0LciU/hWoCXpJQ7hBCPAhuklIuAPwPxwLu1+uWwlPISKWWJEOIxfIoe4NGTTsSm6BRKeuvuo2zekVenoAHcHo3tu/P5fvsRxo7oWF1cTExM/BOsOGkp5WfAZ6ft+2291+c3c+1LwEuBztUpAky37jqKV21c4MftVdmyKy8MEkUWXl1n/fE8vj+R36hQlYlJh8JMC49MUhJjsdusuD0Nu1I47FZSkuPCJFVksOzIfu5a8QkSiZQQZ7Pxz/MvZ2SaGX9s0sGIwNZYgdApVtLnTR6IxU/BfEUIZk4ZFAaJIoP8qgpuX/YRlaqHKtVLteal0FXNgsXv4NIat+oyMYl6onAl3SmUdFysg7/9/kekd4nHGWPDGWMjPTWep373IxLiorMVUjB4b/8ONNm4xqsuJV8d9t/jz8Q/W0vy+VfOWj46tM28wUUwwghsiyQ6hbkDYMiATN5//lZyDxchJfTPSovIqI688nKe+mY13xw6RJIjhhvHj+WqkSNDImuJuwbV8KOkDYMyj9vPFSanoxkGP1vzHt8cz0WTBjbFwiObFvPa9AUMTekWbvFMOgCdYiV9EiEE/bPSGdAnPSIVdGFVFZe8+jof786huMZFbmkpTyxbwePLlodkvqnd+xBr9d+sd1KmGfESCP89sJlvjufi0lVUQ6dG81Khurl9zbtI0wkbeXRUc4cQYo4QIkcIsU8IcX8z5/1QCCGFEJ2z7QNwtKic+57/hOk/f5YL7/snryxej+5nteqPf2/cRI3X2yDCwqVpvLllK8U1NUGXdVrPfoxOz8RZT1HHWm38oP9QBiR3Cfp8HZF3DmzGpTc2bxS7a9hXURQGiUyaRJ5KaGlpiyRaNHcEWJYPIUQCcBewLhSCRgPFFdUseOINqmo8GFJS6fLwwsdryc0v4ZEbWi4K9F1enl/zg91iIaeoiMm9g7u6VYTglQt+xAf7dvD+/h3YFAtXDxrFnKyBQZ2nI9PUDVgIzHDGSCQK/0kCWUnXleWTUnqBk2X5TucxfDVTO60x852lm3F71AZ/nG6vxpINORSUVLZ4fd+UVL+NCryGQY/E0PTZsykWrhw4krfmzufV2Vcyt8+giDQFRSqX9RlJjKXxWife6iA7KT0MEpk0Swc1d7RYWq82T72XlPKTIMoWdWzZfwyvpjfab7da2H+05UffmyeMw25pWEvEbrEwtnsmWcnJQZPTJHjM7z+WESnd62z7MRYrsVYbf598hdkZKMIQdNzojmZL6wkhFOCvwPUtDiTEQmAhQO8gP7pHAn0zU9m0Nw/daHgr1nSD7mlJLV4/OD2dZy+9mAeXfEVJTQ0SmNG/H0/OviBEEpu0FYfFyuvnXcs3x3NZV3iIDGcCF/UeRqojNtyimZxOBNqbAyEQJd1SWb4EYDiwvPYxuRuwSAhxiZSyfj1WauuxvgAwfvz4KPy6mmf+zDEsWrMD3XsqBd1mtTCsTzf6ZqYGNMa0vn1ZtfBmTlRXE2e3E2e3h0pckyChCMHUbv2Z2q1/uEUxaYko1DqBmDvqyvIJIez4yvItOnlQSlkupUyTUvaRUvbB1yqmkYLuDPTOSOH//fxysjJSsFoUbFaF88b056k7LmnVOEIIusbHmwo6COSUnuCnyz7g7Hef4Uefv87KowfCLZJJOIlCm3SLK+kAy/KZ1DImuwfvP3Y9lTVu7DYrDlvHyhc6XlPJ10f2owjB+b0GkOaM3Nonu0oKueLz13BpKhIoqKni1mXv84dJc7is/7Bwi2cSBjqquaPFsnyn7Z/edrGikxqXl2WrczicX8LAfhlMnZgdbpGCymu7v+ex9V+j1LopfrfuS/5n0hwuHzA8zJL550+bVtQp6JO4dI3HNyzl0n5DQ+rYk1Ky4dBRPt66GyHg4pGDGZ/VMyTzrNtzmEXf7cSQknnjhnDO0D5mhE5TdFQlbdIyR4+V8tP7Xsft1XC7VZwxNl58bRXP/2kBSYnOVo2l6jordx/gWFklw3pmMLp3Ztj/6A5VlPLY+qV49IbRKw98u5gp3bPIiE0Ik2RNs7nomN+/ySrVQ7G7hvQQPgX84fPl/HfTdty1JXIXbdnFVeNHct+caS1c2Tr+9P5yPli7A5fXl1CzfFsus0Zn8+jVF4T9NxNxyMiL3AiETpUWHkr+5+9fUF7pxu32/bG43CrHT1Twj/+saNU4eSXlXPDHl3jgnS/4y+eruOVf73Pji+/h1RrXw25PPjuUg+GnGJMAvji0p/0FCoCuzni/+wWCBLsjZPPuLjjBuxu341K1OhOnS9V4c/1W9hwPXhbivmNFvPft9joFDeDyqizZvIfth48HbZ4ORRTapE0lHQQ8Xo3tOUcb1WrQdIPl37ZOgf36rc8pqqym2qPi1XRcXpUth4/xrxXh9cOquu43g86Q0m+WZCTws1GTGqS8gy+O+UcDRvhNQAkWy/ccQDUax8trhsGKPWfmuDxQWMKvX/2MOY//i5ue/S/r9h5m9a5DGH6+e49XY9WO3DOap6MTjWnhppJuA5qmU1HpqlXO/h8tW2P3LKt2sfPo8UbK0KNpfLBhR1tEbTMXZA3EpjRu2isEzOo1IAwStcxFfYbwyzHnEmezE2u14bBYuKzfMB6eMDOk88ZYrVhE4z8tiyKIOQNH8v6CYq566g0Wb97D0ZIKvtt3hDv/+REHCouxWhrPY7NaiIsJ3ZNCVBOFK2nTJn0G6LrBv/6zivcXbULTdOLjY8jKTOFgfglGvUQWm83CrGlDAx5XMwyaUvZamFerg1PSuXHoeF7auQFvrV3abrHws5GTyEpMaeHq8HHT0AlcO2gsBTWVpMY4ibeFXnnNHT6Qv379jZ8jgtnDWu9MfvrTb3CpKvXv3W5V4+vt+/FXHkQIwZyxnbeZRZNEoAIOBFNJnwEvvrySDz7ehKe2sW1ZWQ0VFS6wgmIRCMBut9IzM4WFC84NeNy0hDiy0pLZd7y4wX671cKFI8P/R/frcdO4sM9gPj2wG0WBi/sOZXBK5NensFss9E5ov7T6jMR4/vCD2Tz44ZK6jkC6Ifnj5bPpmuDfTt4cmw8e86uMXV6VR66axePvfF3nJNQNgyeumUNGcuvn6egIIs+UEQimkm4lXq/Gh/UU9EkMQyJVMCxgVRQunT2K266bjuKnbVdz/PHHc7n+hXdQdQO3qhFrt9EtOYFbZ04M5sc4Y4Z3yWB4l4xwixFRVLk97DhWSHKsk4FduyCEYN6IQUzN7sPKvQcRAs4d0IeEMzRBdEmIpbTa5ffYjJEDmDFyAN/tOYIhJRMH9iLWEVlJUB63yqol29mzI49efdKZcdFo4hLC0xHJVNKdgMoqN0YT/9BCAkKgScmny3dw60+m1cUUB8rg7uks/vVNfPL9Lo6UlDM6K5MZQwdgtza2B5uEn1e+3cRfv1qN1aKgGwY9U5J4ccFldEtKICHGwbwRbX8CWjhrIr99ewnueuUGHDYrF40bjNPuc4xOG96vzfOEgrLiKn5+9XOUl9bgdnlxOG3855mveOrVW+nVNwxPYVGopE3HYStJSorFYW98b5OArPdterwaxaVVZzZHbAzXTBnD/RdPZ87IQaaCjlDW5h7mb1+vxq1pVHm8uFSN3KISbn39w6DOM3fMIG674GycdhuxDht2q4ULRmXzm8vPC+o8oeClvy2mqLACt8sLgMelUlXh5qmH3w+PQKbjsONjtSjcfP25PPfiMtynmzxsp1bNUkoS4ztvk9vOwCtrv8elNvwN6IbkcEkZ+wqLGdA1eN1tbpwxgavPGUN+aTldEuJIio2O39bqr3eiaw2d3lJK9mzPw+3yEuNsR9NMBIbXBYK5kj4DLp03hvt/cSF9enfB4bCCVaA7BFh8Stpht3LB1KE4YyLLNmgSXIqr/Lc0sygKZS7/NuS2EGO30i+jS9QoaACLnxBBAASt9tcEhSCtpFtqKSiEmCqE2CSE0IQQPzztmC6E2Fy7tVj7yFxJnyHTzx3M9HMHA/De55t44Y1vMAyJrhvMnDKYe28JbSyuSfiZMbgfOcdP4Dmt0YNuGAzNNJ2rALMuGcOit9ah1rOnWywKYycNwO7w3wQ5lAQjLTzAloKH8dXY/6WfIVxSytGBzmcq6SBwxdyxXHL+KAqLK0lOdBIXayYSdAauOWs0/920gxOV1Xg0DYHPoffrC6YSa29/BRSJXHvH+ezYfJiD+45j6AYWq4XklDjuefTysMgTJHNHXUtBACHEyZaCdUpaSnmw9libbwumkg4SNpuFHt3MFlfNIaVE0roszEgmIcbBhz+9hjfXb2XZnlzS4+O49uzRIal2F63ExNr562u3smPTIXJzjpHZK5Wxk7ObNoOEktY5BdOEEPVrMbxQ27QE/LcUbE2MbEzt2BrwpJSyWU+zqaQDwO1RWbl+H2UVLsYO68WArMhP4IgkVF3nL9+s5o3NW6hRVYZ07coj589gbPfu4RatzcTHOLjl3Anccu6EcIsSsQghGD6uD8PH9Qm3KK1R0kVSyvFNHGu2pWAA9JZS5gsh+gFLhRDbpJT7mzrZVNItsDv3OHc9+i6GYaDpBkIIpk/M5uE75obH8RGF3PfFYhbv3Ye7tpLfzsJCfvLOf/nw2msY0CV4ERDRQrXbS43HS1pinFlOtB0JYsZhSy0Fm0VKmV/7/1whxHJgDNCkkjajO5rBMCS//uOHVNV4qHGreFUdj1djxXf7+GrN7nCLFxUUVVfzxZ69dQr6JF5d5/nv1odJqvBQ6fLwy+c/Zsav/sHFD73EvAf/xdpdh8ItVqdCGDKgrQWabSnY7PxCpAghHLWv04Ap1LNl+8NcSTfDnoOFVLs8jfa7PSqLvt7GBecMafLa0ioXH63ezt78IoZldePiSUNJcAbXobgm9xAvrtnA8Yoqzu7Ti4XnTKBbYmQV3z9UVo7dYmnULECXkt0nTgQ8To1X5ekVa/hg6040w2Bmdj9+ff5U0uMjt33X6dzz3Edsyz2Gqvt8SQWlldz7j0W8et98+ndPC/n8+/cUUHCsjAEDu5GR2Qn9J0FKVAmkpaAQYgLwAZACXCyEeERKOQwYAjxf61BU8NmkTSV9pui15g1/qFrjesEnyT1WzA1/fhuvpuNRNZZt3sdLX3zHq/fPJzM1MSiyvbtpG48vXl7X+eNQSRmf7sjho1sXRJSi7pOS3EhBA1iEYFhGYGFqUkpueOM9dhYU1oW7fbozh3WH8lh8+/U4bZEfSbH/WDFbc4+h6Q2d/aqm89rXm/jdtRec8di5h4s4mFdMVo9U+vvxl1SUu/jN3a9z+MAJFIuCpupMnTmUXzx0SXgceGEkWMksLbUUlFKux2cGOf26NcCI1szVuf6FWsmgfhl+6/XGOKxc2EwJ0sdf/4oqlwdPrQJ1ezXKqlw89d/WdWlpCq+u8+SXK+sUNPhKmVZ5PDy3al1Q5ggWXWJj+cHQIcRYG64HHFYrt04IzNn2fd4xco4XNYhH1gxJhdvDJ9tzgipvqPjja1+jaY2jsXRDcuh46RmN6fao3P3Iu9xy32s8+exibr3/de763du43N4G5/35sQ/J3VuA261SU+3B69VYtWwXH7373RnNG9VEYVq4qaSbwWpReOzui4hxWLHbfPUznDE2hmVnMm+6/+arqq6zNbdxbz1DSlbvOBgUuQ4VlzbqAgM+xbUm93Crx5NSsrWggC/37SO/ojIYIjbgsVnnc+tZE0hxxmBVFMZ1784bP76SvqmB1aHOKTzht3VXjaqy7VhBsMUNOgePlbBj3zH8/fVbFIVx2S2H7BWWVPLNpv3sO3TKRPTcqyvZuisPj1ejxuXF7dXYnpPPM/VattVUe9i4NrfRDcLjVvno3c7lE4Do7MximjtaYMLILN79+818sXInJeXVTBiRxVkj+zQZ2aEIgaIIDL3xv3SwCiWlxsXW2TVPp7X1iouqq/nJu+9xpLwcRQhUXefyYUN5dNb5QYtntioKd02exF2TJ53R9b1TkrEoCtDQbOK0WumfFvnRITsPFPjk13SwSF87GwApUYTgqvOaTj4zDMmfX/qKz1buwGa1oOsGfXul8df7LufzZdvxqg2/E6+q88XyHfxy4SzAp4yb+md01Xj9H+jIRJgCDgRTSQdAl+Q4rrkksEdzi6Iwc0w2S7/f20CR2q0WLj57WHDkiYtlcr/erMk9XNclBcBps3LL5KZCO/1z9yefsb+4GK3eyvzDnbsY0a0bPx7ZKtNZyJjUtzdd4+M5UlZe16FG4GsT9YMRX7a8LAAAG19JREFUTTtvI4X0lHiEAEUHKUFapK92hRT8aNJwuiQ27fz84KstfPHNTryqXqeQ9x4s5NFnP8ej+veLeL06UkqEECSnxpHWNZFjRxuaVCwWwcQpkdn2LGSY3cJNTvLAVTPo170LTocNp91GjN3KiL6Z3H7p5KDN8ZfL53J23144rBbi7HacNhv3zJjC9IGB1xUurqlhY35+AwUN4NI0Xtn0fdBkbSuKELxx3ZVMG9AHq6JgEYLRPTN5+/qrSHJGfrGhcYN6kZwQi0URKAZYVLB4walYWTC3+Zv/u4s3Naq2qOkG67cfYuTgHo1WyULAqKE96xzeQgh+8dAlOGJsWKy+P3e7w0pCYizXLYz8UqfB5GSctGnuMCExLoY3HriGrbnHOFRYyoDuaQzNCm7BnXiHgxevvozjlVUUV9XQLy211U1Oa7xqkyaNSk/j0MNw0iUulueuvBSv7lslOqzR89NVFMHz913Jb577hJxDhQhFkBLv5JFb5tIttflInKomTBJCCG68ajIPPPkhXq+GV9Wx2yzYbNZGxb1Gjsni+ddu5aN313PkUBEjx2Rx4Q/GkZjkDNpnjBr89SGLcKLnlx5lCCEY1b87o/qHNvU5IyGejDPomwfQIymRRIejUaKJTVGYlR36R+FvDx7mT1+vYl9RMV3j47nz3LO5bGTzjXvtljOz6xuG5EBRCQ6rlZ6pSWc0RlvolprASw/Op6i8Go9Xo3taYkDZhpPH9OOzldvRT/NxpCTGMnpIT978+418uHgrObkFZPftymWzR5Oa3Nh80r1nKrfdMztonydaibRVciCYSroTowjBn+bO5qcfLkLVdXQpibFaSYqJ4faJoe2puP5wHre+/VHdDeJIWTm//+Jrqjwerp0wJqhzrd13mPve/pxqj4phSHqnJfP0govJSmv/hI60pNYl39zyw8ms3rSf6hovHvX/t3fm8VGV5x7/PrNkkpBACLuEsAeMgAgBAQGpWESvLLVaEWnFqhTUWq/S1ttFe2u916X1VlvbikuLVq0IKCjgBgoiiyQiCAjITgAhCQnZM9t7/5hJmmWSnCTDnDPJ+/18zuczM+c9c34nmXnmPc/7LF7sNsHpsPOLHwUMbs43hQzu2ZlpVwyhc2frxMdbEguG1xlBG+k2zoQ+fXj7B3N4efsXHCsoYGxqKjcOG0qiK3zZkUopzhSVEB/jrGrG+vt1G+vM4Ms8Xp7esJnZIy8ORnO0nFMFRdy9eEWNDioHT+cxd9ESPvj57SHj4K1El+QEXv39XN76cAdZe7JJ7Z7EDVNHkOiKYd4Pn+fUyQJsdsHr8XHNtcO5654pTa4Hkn3gNKte2kDeqQJGTR7C5TMziIm1foJQc4jGhUNtpDX0S07moclXNPk4t9fLmt372XT4GD3aJ3LDiKH0TKqZUbnp0FF+8fYHnC0txa8U4/v15rEZUzmQezbke5Z5vJwrryA5Pjz+0mXbdlVFhFTiV4qSCjebDxxlwqC+YTnP+aRDQhy3zBzDLTP//dp997zMsaN5+KpFEL27eidpgy5gylTjUTmb393BY/NfxOv14fP62bZ2N8ufXcuT7ywkrp31F2WbSjQaaWtPIzSWpbjCzXWLXuU3q9axYsdXvLApi2v/sphNh/5dMOhgTh4LlqzkVGERFV4fHp+fjQePMu+1N+mVFDo93mm30z42fLP4b84VhYwp9/shp7AkbOeJJGfzivlqz8kaBhqgvNzD8qXGswi9Hh9/uOclKso9VX0Iy0vdnDycwzt/3xBWzZZAEYyBNLBZCG2kNc1i8ZbPOZ5fQJnHAwQyLcs8Xn62/F38wQ/5S9u216lx4vH72Xsml+svHlInVTzO6eC2MSNxhMnVATCmfy/iQnRJ8SvF8N7RWc+6tMxdb82NkhLjUTmHdmfjD1HxzV3uYf2KrGbrszLRGIKnjbSmWazZva9Obz8IhPUdzMkD4EheAb4QsxKHzUavpA48Om0K3RMTsImQ6HJx52WXctf48C5YThk6kJSO7XFVy/aMczqYMnQA/bomh/VckeKCCzoSG1f3h8fhsDFufJrh94mNj8FfT+ZqfGLrc3UAUVm7w5BPWkSmAk8RKMv3vFLq0Vr77wNuJ9AOJgf4oVJKF8ptxdSeBVfiU6qqKt3o3ilszz5Zx5i7vT4Gd+9Ct8QErr4wDY/Ph9NuN7zg5fb52PD1YXKKS8hI7cnArvWX+YxxOHjlzlm8tPFz1uzYh8vpYNaYi/nOyPBkf5qBzSYs/Pm1PPzQcjweH36/wuVykNg+jtk3G0+Y6jWwO11Tksk+cLpGLZjY+Bimzb38fEg3lTAW/Y8ojRppg51xtwMZSqlSEVkAPA7ceD4Ea6zBTaOG87s162pETdhE6J2cRErHQBzyTRkX889tX+D1lVfNqOOcDmYMS6+K7RYRYpqQmHIgJ485i9/A7fXhCy4IfvvCATw+c2q9iTntXDEsmDyGBZPHNOtarciYsQP4y6JbeWt5FqdOFTBiZB+uuXY4CQnGZ8Aiwm9ems/Pv/sUJYWlQMBPfdXNlzF+WnjDIC2BMlTQ33IY+XYY6Yz7UbXxW4A54RSpsR7fGZ5O5tFsVu/ej00CBjrB5eLPN06rGpMcH8dbd8zh6fWbWf/1IRJiXfxg9CXMGjmsWedUSnHn6yspKC2rcUf64d4DrNi5h+9cHL2z4+bQu08XfnLf1Ba9xwV9u/KPbQ/z5eavKcgpJH1Uf7qmRKcbyBDRZ6MNGemmdsa9DVgTaoeIzAPmAaSmphqUaBy/X7H/2BkEYWBqF92D8DxiE+F/Z17FvAmj+eL4SbokJjC2b6868c3d2ifwyLRvh+Wch/LyOVNUXOd7Vubx8lrmzjZnpMOF3W5j+PhBZsuICK3S3UETOuOKyBwgAwjp0Aq2RF8EkJGREdY/1479J3jgT29TVu4BgXhXDI/dM42hA6NzBT8ceHw+juUWkNQujk4J8eflHH07daRvJ2N1oVuKx+urv1NOiO4vGk0NFNBK3R2GOuOKyJXAL4HLlVIRrc5TWFLOvb9fTmm5p+q1snIP9zyxjLf/OI+E+PD2FowGVmTt4dEVH+Pz+/H6/Yzu34vHZ19N+yioGlcfA7t2ItbhoNTtqfG6y+Fg2tDBJqnSRBXRZ6MNheA12hlXRC4BngWmK6XOhF9mw3y4dV/IeE+/Uqz9bH+k5ZhO5qFsHl6+lqLyCkrdHtxeH1sPHOP+f64yW1qLsNtsPPnda4hzOqoKLcU7naR17cTsjPoL55uFx+vj0+2H+GDzXvLORWfiTGsjGuOkG51JG+mMCzwBJABvBG9Hjymlpp9H3TXILyyr6idYHY/HR35w1bot8ff1mTX6HwJ4fH4+P3yCUwVF9EiK3kI8Y/um8t7dt7L8i92cLixmXL9UrhjUP6wJMOFgz8Fv+Mnjy4LV6xRen5/brxvLD6aNNltam6a1RncY6Yx7ZZh1NYkRg1OIjXFSVlHzNtjptHPJ4Mb7x7U2TuWH7lPotNvJLSyJKiNd7vHy3OZM3ty5G6VgxtDBzBs3mgUTzm+Vvpbg9fr4zyeWU1Qr++/FN7cwfFAKw9La7jqJqVgwUcUI1pp+NJPhg3pyyeAUYl3//s2JdTkYlZ7KsDa4cDhmYCrOEGnDXr+f/t2iJ7xKKcUtryxl0aZtZBcUcuJcIS9szuLml5dUxUhbBa/Pz9niUrw+P1lfZeMNkclX4fGy4qOdJqjTQGUyizK0WYlWUQVPRHji3hms3riblet3ISJMmziEa8anN7lsY2vg1stHsjJrD8Xl7qoKcHFOBwu+PYZ4V4zJ6oyz+chx9p3OpaJaSdMKn4/DuflsOHiEbw003irsfKGUYvFHWTz3/lbcXh9Oh50r69GlFJSUtcHmr1bCWr/thmgVRhrAYbcx/fKhTL/cGs1TzaRL+wSW3juHRes+Y9P+o3ROjOeHk0ZxxUX9zZbWJL48+U0NA11JqcfDlydPW8JIL/l0J399dzPl7oBOt9fH+199jd1d1xrEuZxMHtM24pGtSrhmyQZKZUwE/ggMA2YppZZW23cL8Kvg098ppRY3dK5WY6Q1NemelMiD101ufKCF6dE+kVing5JaIXdxTic92lvDr/7c+1urDHQlZV4fiR0cuIptgdoaShHncjJkQA++NWqgSUo14fJJGyyVcQyYCyysdWwy8BCBfBIFZAWPrdnOvRraSGssy5TBA3nk/Y8pxVP13RLAabdxdbrxam/nk7yi0NFDRTYvSx6czdvrd1FUUsGkUQOZMKK/5TvBtG7CVrvDSKmMI8F9tW+prgI+UEqdDe7/AJgKvFbfybSRDgNen59yt4d2sTFt0gd+voh1Onht7o3ct3x1VSeXvp068oeZV5NgEd96n64dOXS6bpeZ1C5JDOrTjUF9wtslXtNCjLs7OotIZrXni4IZ09D0UhnVCXVsz4YO0Ea6BXh9fv785kbe+GgHXp+f5MR4Fs6axOSR+pY2XPTrlMxbd8whp7gEpRRdm9kZ/Xxx/4yJ3P/3d2rEpcc6Hdw/Y2KNcd+cOcehY7n07J5E75ROkZapAVBNap+Vq5TKqGef4VIZ4ThWG+kW8OTrH7Pi091VPskzBcX8+oV3ad8ullGDezVytKYpdEloWpftSDE+vS9P3zGDP636lCNn8undJYm7/+Myxg7qDQR+yB/54yo2bPkap9OO1+snPa0Hj/7yOuLjrHE30KYIz8KhoVIZDRw7qdaxHzd0gDbSzaS03M1bG3dR4alZ2KfC42XR25u1kW5DXJqWyqVpoas6vrp8K59sPYDb48Md/Kzs2neSJ5/9gF/d+x+RlKmBcCWzVJXKAE4QKJUx2+Cx7wH/IyKVVcmmAP/V0AF6FaOZ5BWWYqsnFTn7zLkIqzGHorIKth04zqHTeWZLsSzLV2+nolb0h8fjY93GfXhDtB/TnF/E7ze0NYRSygtUlsr4ClhSWSpDRKYDiMgoEckGbgCeFZHdwWPPAg8TMPTbgN9WLiLWh55JN5NuHRNCOpcEGNy7a6TlRJzn137G397fgtNhx+vz069bMs/cPpPOidZ0S5hFWbkn5Ot+vx+3x4ejWu9FzXlGEbZkFgOlMrYRcGWEOvZF4EWj59Iz6WYS43Rw27WXEhtT83fOFeNg/vSxJqmKDOv3HGLRh1up8PooLndT7vGy/2QO9/79bbOlWY6Rw1JDRvykpnTSPukIIxhLCbdaWrg20i3glqsyeGD2FfTqmkS8y8nItBQWLbyBQamteyb90vosymrdwnv9ir0nczhxtm24eoxy19xJJMTHEOMMzJgddhuxLic/u3OKycraKEoZ2yyEdne0ABFh2mUXMe2yttW2Kb+4LOTrDptwrrScnskdIqzIuvTs0ZF/PnMby1dvZ/fek/RN7cz1147ggu5JZktrm1jMABtBG+lanMg5R35hKQNSOhPrcpotx5JMTO/HkZyCEC2rhAHddQxwbZKT2nH77PFmy9CE0ScdSbSRDpJfWMrCP69k39EzOBw2/H7F3d8dz/eubIWt7VvI3EkjeSfrK/JLynB7fQjgcjp4YOYkYhz6I6WxLo1FblgR/Y0K8tM/r2TP4W/w+vxU9g7409JP6N0jmUsv6m2uOIuR1C6OZQu/z2sbv2Dj3iN0S0rg+xNHMLxP26vd3RZRSrFh6RZWPLOG0sIyJt4wlpl3X018YpzZ0hrBev5mI2gjTcDFsffomTqF2svdXl55L0sb6RB0iI9l/pQxzJ8yxmwpmgjz7P2LWfXch5QHO88c33uCtf/cwF8yH8MVZ+Gmz4qoNNI6ugMoKCqttzpZ7rniCKvRtGZyzhazbtM+Pt91LGTzZKuTk53Hyr++X2WgAdzlHs4czWXtKxtNVGYQv8HNQuiZNNC/Z2f8IX5hnQ4b44b2NUFRePB4fTy/aitvfLSD0goPwwdcwMJZkxjQs7PZ0tocSin+9sonLFmVVZXAktjOxdMPfY+UHh3rjHdXeBCb4HRa6yu6Z/N+nDEOPLX6iZaXVvDZms+55nZr1zC3Wgy0EfRMGoh1Ofnx9RNqJKY4HXY6tIvj5ikjTVTWMn7zj/d5+b0szpWU4/H62Lb3OLc++i9O5RWaLa3NsTHzIEvXbMft8VFa5qa0zM2ZvCIW/u9yVDXDkX00l/tufYEZlz3CjHGP8OBPXiE/zzp3c0ld26NCFMCwO2x0iYbqflEYJ62NdJAbJg/nD/fMZNzQPqT16sLsKSN49b+/T8f28WZLaxanzxax7vOvqfDUrRvxygefm6Sq7bJszXbKa80+lYKcvCIOH88FoKSonHtveZ49O47j9yl8Xj+Znx7gvltfwBeisa0ZDJ1wIe2TExFbzSxKR4yDa+dbPEFHKfD5jW0Wwlr3UiYzOj2V0emhq5lFG0e+OUuMw15Vea0Sj8/P7iPfmKSq7VJcWhHydbvNRmlZwHivXb0Dd4W3xsza5/OTn1fM9q2HyBg3ICJaG8Jms/HEuod4cMZjnDp0Grvdjs1hY+ELd9L7wpClKqyFxWbJRtBGupWS2q0j7hBV1uw2IS2liwmK2jZXjB3EoWO5dSriAaT1C5QROH44l4oQBZl8Pj8njuVZwkgD9Ojbjed2Pkn2/pOUFZfTd2gqDov5zuslCo20dne0Unp0as+4i/rgctasshbjcDAniv3s0cp3rrqYlO5JxLoCxsxmE1wxDn6+YAoxQQOXlt6T2Li6Wa42m41+ad0jqtcIKWkXMHBEvygy0IBfGdssRJT8dTXN4X/mXcNTSz/hrY27cHu8DE7tygM3T6ZXV103ItLExcbw3KNz+OCTr/g06yBdkhOYedVw+vX6d6TNxCkXsfiv6/C4i6p80M4YO336d2HIJa3DDWcuCpS1/M1GEGXS9D8jI0NlZmY2PlDTYpRS+JXCXk+TAo11yM8r5vk/vs+mj/dit9u48tqLmXvXZGLbeFlTEclqoOegITrEdFPjut9kaOy7x59q8fnChZ5Jt3J8Pj/bdx2nsKiMYekpdE62ViNXTU06dkrgpw9fZ7aM1ksU+qS1kW7FHDtxlp/8+nVKy9xAILnle9NG8qPvTwxZiF6jafVEoZHW97+tFKUUP314GXn5xVXJEx6Pj2WrtrMp85DZ8jQaEzCYyGIxQ66NdCvlwOEz5BeU1Pm8lVd4eHPNdnNEaTRmogC/39hmIQwZaRGZKiL7ROSAiDwQYr9LRF4P7t8qIn3CLVTTNMrKPdhsoV0aJfUkVmg0rZ7WOJMWETvwDHA1kA7cJCLptYbdBuQrpQYA/wc8Fm6hmqYxaEB3QkXuuGIcXHHZYBMUaTRmE51p4UZm0qOBA0qpQ0opN/AvYEatMTOAxcHHS4HJolemTMUV4+Bnd12FK8ZRNaOOdTlJ7ZnMtCnDTFan0ZiAAqX8hjYrYSS6oydwvNrzbODS+sYopbwicg7oBORWHyQi84B5AKmpOjj/fDN5/IX0S+3Civd2kHe2mHGj+jN5wuCqDDeNps1hsWxCIxj5toaaEde+UiNjUEotAhZBIJnFwLk1LaRvamfuvcPaNX41mogRJn+ziEwFngLswPNKqUdr7XcBLwEjgTzgRqXUkeB63VfAvuDQLUqp+Q2dy4iRzgZ6VXueApysZ0y2iDiADsBZA++t0Wg0kUGpsERuVFun+zYB27dNRFYqpfZUG1a1Ticiswis090Y3HdQKTXc6PmM+KS3AQNFpK+IxACzgJW1xqwEbgk+vh5Yp8zKN9doNJr6CE90R0TX6Ro10kopL3A38B6BafoSpdRuEfmtiEwPDnsB6CQiB4D7gDphehqNRmMuCuXzGdqAziKSWW2bV+2NQq3T9ax1shrrdEDlOh1AXxHZLiLrRWRCY6oNrSAppVYDq2u99mC1x+XADUbeS6PRaEyhslSpMXIbKLDUknW6U0CqUipPREYCb4nIRUqpenva6YxDjUbTdlB+Y1vDNGWdjurrdEqpCqVUHoBSKgs4CKQ1dDJtpDUaTZtAAcqvDG2N0Ox1OhHpElx4RET6AQOBBovp6IBZjUbTNlDhKfofzAWpXKezAy9WrtMBmUqplQTW6V4OrtOdJWDIASYCvxURL+AD5iulGoyE00Zao9G0GYKLgi1/n2au0ymllgHLmnIu0zqziEgOcLQZh3amViZjlBHt+iH6ryHa9UP0X0NT9fdWSrWog7KIvBs8rxFylVJTW3K+cGGakW4uIpJplbY2zSHa9UP0X0O064fov4Zo1x9J9MKhRqPRWBhtpDUajcbCRKORXmS2gBYS7foh+q8h2vVD9F9DtOuPGFHnk9ZoNJq2RDTOpDUajabNoI20RqPRWBjLGulob35rQP99IrJHRHaKyFoR6W2GzoZo7BqqjbteRJSIWCqkyoh+Efle8P+wW0RejbTGhjDwGUoVkY+CFdV2isg1ZuisDxF5UUTOiMiuevaLiDwdvL6dIjIi0hqjAqWU5TYCqZYHgX5ADLADSK815k7gb8HHs4DXzdbdRP3fAuKDjxdYSb/RawiOSwQ2AFuADLN1N/F/MBDYDnQMPu9qtu4m6l8ELAg+TgeOmK27lr6JwAhgVz37rwHWEKgYNwbYarZmK25WnUlHe/PbRvUrpT5SSpUGn24hUEnLShj5HwA8DDwOlEdSnAGM6L8DeEYplQ+glDoTYY0NYUS/AtoHH3egbiU2U1FKbaDhDk0zgJdUgC1Akoj0iIy66MGqRrqlRbXNxoj+6txGYEZhJRq9BhG5BOillHonksIMYuR/kAakicinIrIl2LfOKhjR/xtgjohkE6gj8ePISAsbTf2etEmsWmApbM1vTcKwNhGZA2QAl59XRU2nwWsQERvwf8DcSAlqIkb+Bw4CLo9JBO5kPhGRIUqpgvOszQhG9N8E/EMp9QcRGUug6toQpcJQ6i0yWPk7bBmsOpNudlHtiKhrHCP6EZErgV8C05VSFRHSZpTGriERGAJ8LCJHCPgUV1po8dDoZ2iFUsqjlDpMoIPzwAjpawwj+m8DlgAopTYDsRgvIGQFDH1P2jpWNdLR3vy2Uf1BV8GzBAy0lXyhlTR4DUqpc0qpzkqpPkqpPgT86tOVUpnmyK2Dkc/QWwQWcBGRzgTcHw0WYI8gRvQfAyYDiMiFBIx0TkRVtoyVwA+CUR5jgHNKqVNmi7IcZq9c1rcRWPndT2CF+5fB135LwBBA4AP5BnAA+AzoZ7bmJur/EDgNfBHcVpqtuanXUGvsx1gousPg/0CAJ4E9wJfALLM1N1F/OvApgciPL4ApZmuupf81Aj39PARmzbcB8wkUuq/8+z8TvL4vrfb5scqm08I1Go3GwljV3aHRaDQatJHWaDQaS6ONtEaj0VgYbaQ1Go3GwmgjrdFoNBZGG2mNRqOxMNpIazQajYX5f8UVETDO/a4GAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = np.zeros(len(simplices[0]))\n", "s[50:70] = 1\n", "\n", "#s = np.random.uniform(size=len(simplices[0]))\n", "\n", "def filter(d, signal):\n", " return vectors[d] @ (heat(values[d]) * (vectors[d].T @ signal))\n", "\n", "s = filter(0, s)\n", "print(s.shape)\n", "\n", "fig, ax = plot_nodes(s)\n", "plt.colorbar(ax.collections[0], ax=ax)\n", "#plot_edges(np.zeros(len(simplices[1])), ax=ax, zorder=0)\n", "\n", "print(np.linalg.norm(s, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Heat diffusion on 1-simplices using the 1-Laplacian" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dim=1\n", "iterations=1000\n", "heat = Heat(t=iterations, lmax=values[dim][-1])\n", "heat.plot()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(251,)\n", "139.46565826729983\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = np.zeros(len(simplices[dim]))\n", "#s[100:150] =1\n", "s = np.random.uniform(size=len(simplices[dim]))\n", "init_cond=np.copy(s)\n", "def filter(d, signal):\n", " return vectors[d] @ (heat(values[d]) * (vectors[d].T @ signal))\n", "\n", "s = filter(dim, s)\n", "filtred_s=np.copy(s)\n", "print(s.shape)\n", "fig, ax = plt.subplots()\n", "plot_edges(s, ax,norm=False, zorder=2)\n", "plot_triangles_plain(ax, zorder=1)\n", "#plt.colorbar(ax.collections[0], ax=ax)\n", "print(np.linalg.norm(s, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convergence of the dynamical system.\n", "\n", "As studied in [Control Using Higher Order Laplacians in Network Topologies](https://pdfs.semanticscholar.org/b3e5/5866a7463295f52962db66f26eaa348bd935.pdf), Chapter IV.\n", " - In case $H_1=0$ the dynamical system converges to 0.\n", " - In case $H_1\\neq 0$ the dynamical system converges to some point in $ker(L_1)$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The solution is epsilon-harmonic for all t > 183.92344235057902\n", "After 1000 iterations the distance from one harmonic representative is 1.368369778518699\n" ] } ], "source": [ "if np.isclose(values[1][0],10**-10):\n", " epsilon=0.0001\n", " harm_dist=np.linalg.norm(vectors[1][0]-filtred_s, 2)\n", " c=~np.isclose(values[1],10**-8)\n", " t_epsilon=-1/values[1][c][0]*np.log(epsilon/(np.linalg.norm(init_cond, 2)*len(init_cond)))\n", " print('The solution is epsilon-harmonic for all t > {}'.format(t_epsilon))\n", " print('After {} iterations the distance from one harmonic representative is {}'.format(iterations,harm_dist))\n", "else:\n", " print('The solution converges to zero. After {} iterations the norm is {}'.format(iterations,np.linalg.norm(filtred_s, 2)))\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-11-04 19:48:30,224:[WARNING](pygsp.graphs.graph._check_fourier_properties): The eigenvalues vector G.e is not available, we need to compute the Fourier basis. Explicitly call G.compute_fourier_basis() once beforehand to suppress the warning.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "19.999999999999993\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "graph = pg.graphs.Grid2d(10)\n", "g = pg.filters.Heat(graph, 100)\n", "s = np.zeros(graph.N)\n", "s[50:70] = 1\n", "s = g.filter(s, method='exact')\n", "graph.plot_signal(s)\n", "print(np.linalg.norm(s, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6 Test\n", "\n", "Simplicial complex and ground truths from [Control Using Higher Order Laplacians in Network Topologies](https://pdfs.semanticscholar.org/b3e5/5866a7463295f52962db66f26eaa348bd935.pdf), figure 3." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.4999086 0.36199972]\n", " [-0.49990845 -0.36199963]\n", " [ 0.432163 0.06092054]\n", " [ 0.06774557 0.30107912]\n", " [-0.36441737 0.24015856]\n", " [ 0.2966719 -0.54123765]\n", " [-0.29667178 0.5412376 ]]\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "simplices = [\n", " {\n", " frozenset([0]): 0,\n", " frozenset([1]): 1,\n", " frozenset([2]): 2,\n", " frozenset([3]): 3,\n", " frozenset([4]): 4,\n", " },\n", " {\n", " frozenset([0, 1]): 0,\n", " frozenset([0, 2]): 1,\n", " frozenset([1, 2]): 2,\n", " frozenset([1, 3]): 3,\n", " frozenset([2, 3]): 4,\n", " frozenset([2, 4]): 5,\n", " frozenset([3, 4]): 6,\n", " },\n", " {\n", " frozenset([1, 2, 3]): 0,\n", " },\n", "]\n", "\n", "boundaries = build_boundaries(simplices)\n", "laplacians = build_laplacians(boundaries)\n", "\n", "_, vectors = sparse.linalg.eigsh(laplacians[1], 2, which='SM')\n", "print(vectors)\n", "\n", "values, vectors = np.linalg.eigh(laplacians[1].toarray())\n", "plt.plot(values, '.');" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }