{ "cells": [ { "cell_type": "markdown", "id": "98cee297-1d0c-4238-83cb-2eca86431fde", "metadata": {}, "source": [ "# Polygon operations\n", "\n", "Polygons are essential to the tools developed in teqpflsh. The [GEOS](https://libgeos.org/) C++ library is used for all the polygon operations. Profiling is provided in this file to indicate the computational speed of operations with this library.\n", "\n", "One of the key operations in ``teqpflsh`` is to take an arbitrary polygon and sample it evenly. This is for instance how the single-phase points are distributed within the single-phase polygon(s). For efficiency, this process is done by first breaking up the non-intersecting polygon into a number of triangles. The reason for that process is that sampling a triangle evenly is easy, and you weight the samples of the triangles by their area to get the evenly sampled polygon. This generates samples within the polygon. To get there, first examples are shown of operations on polygons powered by the tools in ``teqpflsh`` followed by the even sampling." ] }, { "cell_type": "code", "execution_count": 1, "id": "6b45a70c", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:17.085708Z", "iopub.status.busy": "2025-01-06T11:32:17.085391Z", "iopub.status.idle": "2025-01-06T11:32:17.393864Z", "shell.execute_reply": "2025-01-06T11:32:17.393564Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import teqpflsh\n", "import matplotlib.pyplot as plt\n", "import timeit\n", "\n", "def getcircle(r, N, *, ptr):\n", " t = np.linspace(0, 2*np.pi, 10000)\n", " X,Y = np.cos(t), np.sin(t)\n", " return ptr.makeclosedpolygon(X,Y)" ] }, { "cell_type": "code", "execution_count": 2, "id": "b6182393", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:17.395304Z", "iopub.status.busy": "2025-01-06T11:32:17.395168Z", "iopub.status.idle": "2025-01-06T11:32:17.512337Z", "shell.execute_reply": "2025-01-06T11:32:17.512096Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here we do intersection and difference operations on simple \n", "# polygons to demonstrate how polygon operations work\n", "# in teqpflsh\n", "\n", "ptr = teqpflsh.GeometryFactoryHolder()\n", "\n", "# Polygon for a circle\n", "t = np.linspace(0, 2*np.pi, 10000)\n", "X,Y = np.cos(t), np.sin(t)\n", "poly1 = ptr.makeclosedpolygon(X, Y)\n", "plt.plot(X, Y)\n", "\n", "# Polygon for a square\n", "x = np.array([0,1,1,0,0])\n", "y = np.array([0,0,1,1,0])\n", "poly2 = ptr.makeclosedpolygon(x, y)\n", "plt.plot(x, y)\n", "\n", "# Intersection of the circle and the square\n", "Xi, Yi = poly1.intersection(poly2).getXY()\n", "plt.fill(Xi, Yi, 'lightgrey')\n", "\n", "# Difference of the circle and the square\n", "Xd, Yd = poly1.difference(poly2).getXY()\n", "plt.fill(Xd, Yd, 'yellow')\n", "\n", "plt.axis('equal')\n", "plt.axis('off');" ] }, { "cell_type": "code", "execution_count": 3, "id": "2d0f8cbe", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:17.513567Z", "iopub.status.busy": "2025-01-06T11:32:17.513467Z", "iopub.status.idle": "2025-01-06T11:32:22.129893Z", "shell.execute_reply": "2025-01-06T11:32:22.129093Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptr = teqpflsh.GeometryFactoryHolder()\n", "\n", "# Polygon for a circle\n", "poly1 = getcircle(1, 10000, ptr=ptr)\n", "plt.plot(*poly1.getXY())\n", "\n", "# Delaunay triangulation of the circle into triangles that fully cover the original polygon\n", "tri = poly1.DelaunayTriangulate()\n", "Ngeo = tri.getNumGeometries()\n", "for i in range(Ngeo):\n", " geo = tri.getGeometryN(i)\n", " X, Y = geo.getXY()\n", " cen = geo.getCentroid()\n", " x, y = cen.getX(), cen.getY()\n", " plt.plot(x, y, 'k.')\n", " plt.plot(X, Y)\n", "del ptr\n", "plt.axis('equal')\n", "plt.axis('off');" ] }, { "cell_type": "code", "execution_count": 4, "id": "60acc1f9-36d9-4924-9fc2-4842ae52eb0d", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:22.131694Z", "iopub.status.busy": "2025-01-06T11:32:22.131562Z", "iopub.status.idle": "2025-01-06T11:32:22.182785Z", "shell.execute_reply": "2025-01-06T11:32:22.182539Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A box, randomly sampled using the code in \n", "# teqpflsh\n", "X = np.array([0,1,1,0,0.0])\n", "Y = np.array([0,0,1,1,0.0])\n", "N = 10000\n", "reg = teqpflsh.QuadRegion2D(x=X,y=Y)\n", "x, y = np.zeros(N,), np.zeros(N)\n", "reg.sample_random(len(x), x, y)\n", "plt.plot(x, y, 'k.', ms=0.3);\n", "del reg" ] }, { "cell_type": "code", "execution_count": 5, "id": "d9f28801-f867-453a-8713-7940cdec1e3d", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:22.184088Z", "iopub.status.busy": "2025-01-06T11:32:22.183994Z", "iopub.status.idle": "2025-01-06T11:32:24.476207Z", "shell.execute_reply": "2025-01-06T11:32:24.475910Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A circle, randomly sampled by first triangulation and then sampling\n", "ptr = teqpflsh.GeometryFactoryHolder()\n", "circ = getcircle(1, 10000, ptr=ptr)\n", "X, Y = circ.getXY()\n", "\n", "# The \"region\", which here is a circle\n", "reg = teqpflsh.QuadRegion2D(x=X,y=Y)\n", "x, y = np.zeros(N,), np.zeros(N) # allocate buffers\n", "reg.sample_random(len(x), x, y)\n", "plt.plot(x, y, 'k.', ms=0.3)\n", "plt.axis('equal')\n", "\n", "# And here are the triangles\n", "tri = reg.do_fast_triangulation()\n", "for i in range(tri.getNumGeometries()):\n", " coords = tri.getGeometryN(i).getCoordinates()\n", " # get the vertices of the triangle\n", " Ncoords = coords.getSize()\n", " x = [coords.getX(_) for _ in range(Ncoords)]\n", " y = [coords.getY(_) for _ in range(Ncoords)]\n", " plt.plot(x, y, 'r')\n", "del reg" ] }, { "cell_type": "code", "execution_count": 6, "id": "0599c0ff-3048-4249-99f6-28fe10afc3da", "metadata": { "execution": { "iopub.execute_input": "2025-01-06T11:32:24.477572Z", "iopub.status.busy": "2025-01-06T11:32:24.477464Z", "iopub.status.idle": "2025-01-06T11:32:27.372452Z", "shell.execute_reply": "2025-01-06T11:32:27.372178Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 343.95409747958183\n", "2 33.52916974108666\n", "3 3.48491600016132\n", "4 0.47287080087698996\n", "5 0.1693791605066508\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "6 0.14071825001155958\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "7 0.13905381249496712\n" ] }, { "data": { "image/png": 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rrodhfC1btlQBXf78+dU5CZzkvHwNy5YtizfeeEMFlr1794a14oyRFdcYPYutjS3alW6Hf9r+g7fLvq2ON17eiNYrWuOXw7+oZf9ERM9y9uxZdO7cWaWBZFm0YTbIsNm3pHCkaFrSXJKK2rBhQ5Y+v6TInhcUCZk9ady4MQoWLKiCu65du+LOnTtqlshAUlmGoEhIuik0NFS9LUu+b926hZo1a6a8X4ILPz+/TI9/0aJFqFu3rgp8JAiSQMlw7dJKNlH39fVNCYqEPKbM2slsmoHMPMm4n/Y5WivOGKWR5F3lZuiDYA2kt9Eo/1EqSJLNaYNuBWHaoWlYeW4lhtUYhkaFG6m/9ojICGTrHpm50eq5M0FmJWQWSFJAUucjL8YyU2QohK5WrZrqNbN27VoVoHTs2BFNmjTB0qVLs2T4qYOBZ61ok7qnvn37qlokaTWwc+dO9OrVS43RUKTt4ODwyMfJ77v0tv6TlN3jH/O8Gp49e/agS5cuqo5IUmHyeiOzRT/88AOM4Wmfoy455WmtGBjRC5XOUxqzms3C+kvrMSFoAq5HXsegrYNQx6cORtQcoZb8E1EWkz860pDOMjUy6yIzEhIU1atXT52ToONxMpMktTFya9++vSpsDg8PV0GKvFjLht3PY5gRetH9nubAgQPqxV+CDQlchNQ7pYcELJKOkvqdV155JWUswcHBjyyll5Rf6oJt+eNagsJn2b17twoqP/nkk5Rzly9ffuJzf9HnLQXjUisktUaGQFHqoOTzNRSk09MxlUZpIn9FvPbSa1jVZhV6V+qtVrPtvrEb7Va2ww9BP6hNa4mIpGZF6n5mzJiBc+fOqaJmKcROTVaELVy4EKdOncKZM2dUYbCkjaSuSEjqTepcQkJCcPfu3ac+T758+VS9jayAk5SWpLbSqmTJkmrWRmqELly4oIqrpZYovWRFnqymW7lypQoGP/roIzXe1DPpsipMHn/Hjh1qlZisWkudunqc1F5J2kxmiaQoWgrEly9f/sh95PpIcCXpyLCwMMTGxj7xODLrJCv+5PmOHTumiqtlvJIyNNQX0dMxMKJ0cXVwxcBqA7Gi9QrUL1QfCUkJmH18NlquaIl/zv/DzWmJrJzMSMiLuszKSPps8ODBGD9+/CP3kZqecePGoXr16qpuU1JbUrRsmL2RmRxZUSbL6GU5/tNI8bEEDdOnT1fputat9e1G0kJqbyQ4kyJkGaOsLDO0C0gPWVYvtVTdunVD7dq1VT2QpL9Sb0Uhxdn169dXqTspbJbl8anrlh7XqlUrdc2k0FtmnmQGSZbrpybF7TLD1rBhQzUjJUHm4yQdKK0GZBZOrrHMyklNlRRa0/Nxr7R0FF/LTaYv5S8cc9wrzRi2X9uO7wO/x5UH+sLAKnmrqLqk8p7ltR4akVnhXmnmT9JzksKSmqmvv/5a6+FYpZgs2CuNgZEVbSJrLHGJcZh7Yi5mHJmBhwkPYQMbVbA9sOpA5HHOo/XwiMwCAyPzI7U/sqJOZoQknSWzMdLTSJovSoBE2Y+byJJJcLRzxHuV3lP1R81fao4kJGHpmaVosbwFFp5aiARdgtZDJCLKcpL6kwJnSVXJUnipIZJVdgyKzBtnjNKJM0YvFhQShIDAAJy5e0Ydl8lTRqXX/PJnvr8HkaXijBFR5nHGiExSde/qWNRiEUb7j4a7oztO3z2NHut6YPj24bgVdUvr4RERET0TAyMyCntbe3Qu2xn/tv0X7Uu3V3VHay+uVavXZh6dqeqSiIiITA0DIzIqKb4eU3sMFrZYqPZhk+Js2YPtzVVvqhVtREREpoSBEWWLCp4VMLf5XHzz8jfwdPbE5YjL6Le5H/pv7o+rEVe1Hh4REZHCwCiNrGkTWWORzWhblWiF1W1Xo3v57rC3scd/1/5D65WtMSV4CqJlN3EiIiINcVVaOnFVWta5cO8Cvgv8Dntu7lHH+V3zY2j1oWhWrBk3pyWrw1VpRJnHVWlk1ornLo7pTadjcoPJ8Mnhg1vRtzBs+zD02tArZak/EVmPL7744pENWK2J/DG4YsUKmJpLly6pscm+bKbwONmBgRFpSn5QGhdtjJVtVuJD3w/hZOeE/SH70fGfjgjYF4CIuAith0hEz9GjRw/1cyw3BwcHtUFp06ZNMWvWLLVFhrXatm2buib37t1L0/1v3ryJ5s2bw1K+J9q0afPIOdn3Tj5H2ZvO1DEwIpPgbO+MvlX6qgCpSZEmSExKxIJTC9Di7xZYdmYZdEnW+wuWyNTJhqbyoiezAmvXrlWbm8pO87JxakICO98/T1ycvnWJt7c3nJycYKns7OzU5yib/5o6BkZkUgq6FcSkhpMwo+kMFM9VHHdj7+KLPV/g7X/fxpHbR7QeHhE9hbygy4tewYIFUa1aNYwePRorV65UQZJsmWEgsyfvvfee2hFeajwaNWqk9hV7lv3796vZJy8vL1UbInuSBQcHPzc9I88h52TGJvXMzebNm1G9enW163ydOnVw+vTplI85f/48WrdurWa73Nzc1CIb2drD4KuvvnrqTIek/R7f+d4wLgkORZ48edTzyyyKaNCgAfr3749Bgwapz6tZs2ZPTaWNGDECpUuXVuMtXry4ep74+Pgn0o7z5s1DsWLF1PV566238ODBg5T7yNtdunRBjhw5UKBAAUyaNEk9vzz381J4uXPnfuTrlppspN6rVy9Vw+Pi4oIyZcrgxx9/fGRcc+bMUV9/w0yifA2e9rX677//ULNmTfX9I+MbOXLkI4G0jHXgwIEYPnw4PDw81PeYPL6xMTAik1TbpzaWtlqqirFzOOTA8TvH0WVNF3y681OEPQzTenhERifrYmSlpha3rFiTI0GPr68v/v7775RzHTp0QGhoqAqYDhw4oIKoxo0bIzw8/KmPIS/s3bt3x86dO7F3716UKlUKr7/++iMv/mn1ySef4IcffkBQUJCatXj33XdT3hcZGakeV4KngwcPqhmwli1b4sqVK+r9ct+TJ0+qQM1A7nfkyBH07NnzieeStNGyZcvU2xKAyWxa6uBBAgdHR0fs2rULv/7661PH6+7uroKTEydOqI/97bffVGCTmgR0EtSsXr1a3STQ+O6771LeP2TIEPUcq1atwsaNG7Fjx45HAsuM0Ol0KFSoEJYsWaLG9vnnn6tAePHixer9Q4cORceOHVNmEeUmgejjrl+/rq65BKESHP/yyy/4/fffMXbs2EfuJ9dKArt9+/Zh3LhxKkiVz8WYTH9Oi6yWg60DulfojjeKv4FJByZh1flVWHl+JTZf2Yy+vn3RuVxndR8iSyTNUP0X+Gvy3Pve3gdXB9dMP07ZsmVV8CAkuAkMDFSBkSFlNGHCBPXCvnTpUrz//vtPDa5SmzFjhprNkABA0nTp8c0336gZJyEzE2+88YZawSQrlySAk5vB119/jeXLl6uAQmZ3JBCQmZ0//vgjpWWLvC2PJ7M5T0sbyQyHyJcvnxpzahLgyYv883z66acpb8uMkAQcf/31l5o9SR2kSPAkQZTo2rWrCu7kc5XgUYKKBQsWqODTMGYfHx9khoODA7788suUY5k52rNnjwqMJCCSGTeZSYqNjVUzPM8ybdo0FUBOnTpVzSTJ98qNGzfUTJkEW7JBr6hcuTLGjBmTct3k/vI5ykyisVjdjJFMs8p0qkxBytSoROFk2rxcvFRjyHnN56G8Z3lExkdifNB4tF/VHntu6Jf6E5HpkZknQ+sNmRWQmRlPT0/14mm4ydJqmfl4mlu3bqF3797qBVFSRZJ+k8cwzOSkh7zAGkjaRkiQJuQxJfAoV66cCmJkXDJDlPp5ZBwLFy5UwZTUBUnAkXrWKT38/F68ofaiRYtQt25dFVzIeCRQevzzloDJEBQZPi/D53ThwgWVepNUlYFcQ0l9ZUVfPz8/P5USlbFJwJrer4lc39q1az/SmkU+X/laXLt27alft8c/R2Oxuhkj+Sbavn27yttGRUWp4OjNN99UP6xk2qrkq4IFry/A8nPLVUPIC/cv4P2N76ti7aE1hqr6JCJL4WLvomZutHrurCAvfjKjIOQFT17UDLU/qT0+o2IgabQ7d+6oVFLRokXVTJO8mBoKlg2zCqlTf6nrcB6f6TAwvBgbVs1JUCTpGZnBKlmypJrxaN++fcrzCEmtyfPLTJKkweR55D4ZIamh55EZGKkNkpkZmamSgEZmiyQV+KzPyfB5pXcloHzM46nT+GdcQyHjkOslY5Gvhbymjh8/XqW6jCErPsf0srrASKY4JSgSMtUn3xDscWk+7Gzt1Ka0TYs2xbRD07Do9CJsurIJO67vwLsV30XPij2z7Jc6kZbkBSAr0lla2bJlC44ePYrBgwerY6knCgkJUfU9MtORFlIfIykXqUURV69eRVjY/2sMZcZCSB1L1apV1dsZ6ZMjzyPF0W3btk0J4qRYODUZtwRqko6SwEgKnSWAeha5j6FYOb12796tAkGpizK4fPlyuh5DUnwSVEhdVJEiRdQ5aWx45swZvPLKK49cQ7l+BmfPnkV0dPRzr5XUDH344Ycp5x6f8ZPP/UWft8zOSR1W6llFeWwJtCR1qSWzS6XJbI9E7pInfVZDLJnmkx88yR37+/urvPbj6TTJJ8vFHzZsmFoZQOYll1MujPIfhcUtF6OGdw3EJsbil8O/oPWK1th4eSODXaJsJH9kStAjBbVS3Pvtt9+qVV5SB9StWzd1nyZNmqgZBulvs2HDBhV4SAAgL/5SEP00kkKTVVcy8yQzEjKLkjoYkbdr1aqlCo7lPlJ7lLo2J63keaRIXIIqSfm9/fbbT52VkBV1EvCtW7fuhWk0CWzkNUqKom/fvq2CrfSMR1JTMjsjQceUKVPUTFV6SIAhgZy8xm3duhXHjx9Xq8lkli11+krquKRuR4rJ5evQp0+fJ2ZpHh+b3G/9+vUqyJLVcqmL0oW8/kptmRSeSyD7tBkoCawk0B0wYABOnTqlVrFJLZEUjBtmArVidoGRpL8kqJHg51l5WbmwcoHlB1TuK1ORqXOSMm0r3/yS25Y8seSxn/cDL23EU9/IdJTOUxq/v/o7JtSfAO8c3rgZdRNDtg1B7429ce7uOa2HR2QVJFCQNJm8IMpqJHkhlhdzebGTWXohL8Zr1qxRsxWykkuWosusi8yEyDL5p5FVSnfv3lWzTVJYLEu3pZg5NWkkKUu8peZFlqE/vqopLSZOnKiW1ctMiPzhLa8Z8pxPCwrkPlIoLH90P4+0LpBUmBR6y+cnRdxp1apVKzXTJh8j9bASQD6tLUBaPi8JRiVAlcBUanhkpib1VhmSEpMi6Hr16qmAcOjQoSlZlaf54IMPVPlJp06d1DWQVGfq2SNDPZbUMkk9r8xIyUzQ066PfD/IxIW8TktAJoFbRgLbrGbWe6XJD5pE0ak7bMoXSlYNSAQsJOqXL7pEpfIN+jj5gkrE/KxcsfRMSF2Bb8C90kyPLDOedWwW/jj2B+J0cbCzsUPnsp1V48icjvxakWnjXmmmT14uJTiS1w35A9wcJxYkIJFgSIIQSxTDvdIeJYVy0htDImMDmZKTYylmEzI7ZOiBIRdHUnPPq9IfNWqUup/hJlN/ZJqkHqN/1f6qe3ajwo1U9+w/T/6Jlstb4u+zf7N7NhFlmKTD5A9uSRk+rXeRKZL0mKykk3ScZFAkFSkkzUlWUnwtuUwp+Hp8WlaOJYcpZNpW+mUYiq5lJqlSpUrPfExZhSA3Sd3JLSOFdJS9CrkXwo+NfsTu67vx3f7vcPH+RYzZPQaLTy/GaP/RqJz30eWfREQvIik8qUeVpemSdjMXstJOan2kIFrSjdLkkXW1VhQYpYX0dMjIqoV+/fqpm2EqjkxfnYJ1sMx7mdpzTQqzDd2zW5dojUF+g1R/JCKitDDHqhNZqSdZFEofi0qlSRQshX6PF1PL8fM6cJLlcrDTd89e3Xa1CoiEdM9usbwF5hyfg/jEZ/frICIi62NRgZFhqlDahRtI8bUcS2V+ZkgarXz58int4Mm8yOzQ2JfH4s/X/0QFzwqIio/ChKAJaPdPO5VyIyIiMsvASHpBSCrMkA6T6nN529COXFYKyDYfskeM9LXo27evqsTPbLGcpNFkw7zH+zWQefHN64sFbyzAl3W+hIezh6o/+mDTB/hoy0e4+oCF9aQ9Y3f1JbJkuiz4+TG75frSTr5hw4ZPnJdGVrKZnpCVA9KiXFYPSA8I6afxop4TL5K6+FqaWnG5vvmLiIvAL4d+wcJTC9UKNkdbR9U5u1elXuyeTZr8Qpeuw1IOIL1fZAY8dSM+Ino2CWVkZbqsHpTXaWmr8HijyLQu1ze7wEhrab2wZD6kEeR3gd9hX4h+rx9pFDm0+lC8WvRVvjBRtpJf7LI9w/O2ZCCiZ5PmlNJs1LAlS2oMjIyEgZFlkh8D2XNt/P7xqnu2qOldEyNrjkSpPKW0Hh5Z2feidHJmaxCi9JHZVtnT7ll/0DIwymJMpVmHhwkPVeds6aAt+69J9+xOZTrhwyofqv3ZiIjIPDEwMhLOGFmH65HXMWH/BDWLJPI45cHAagPRtmRb2Nnq934iIiLzwcDISBgYWZc9N/ao+qML9y+o4/Ke5TGq5ihUyVdF66EREVE6MDAyEgZG1ideF4+/Tv2FaYemITI+Up1rWbwlBvsNRl7XvFoPj4iI0sAqN5E1JjZ4tF4Otg7oWr6r6p4tqTTxz4V/VPdsqUdi92wiIsvBGaN04owRHb19FAGBATgadlQdF8tZDCNqjsDLBV/WemhERPQMTKUZCQMjErokHVadX4VJByYhPCZcnWtQuAGGVx+OwjkLaz08IiJ6DFNpREZka2OLNiXbqPRat/LdYG9jj21Xt6HNyjaYEjwF0fFs0EdEZI4YGKURa4zoadwd3TGsxjAsa7UMtQrUQpwuDr8d/Q2tVrTCuovrVLM+IiIyH0ylmUgqLXT773BxsIG7fw/gsf1dyDzIj9KWK1swPmi86oMkquevrrpnl/Eoo/XwiIisWgRrjMwnMEp8EIqHE6vALSkKobkqwaPDT7AvVDVLHpuyX0xCDGYfn43fj/6OmMQYlXbrWLoj+lftz+7ZREQaYY2RGbmT6IK/XN5CZJIz8t0/CtuZDXFrYT/g4V2th0YZ4GzvjD6+fbCyzUq1Ea0Uav91+i+1vH/x6cVI1HEPLCIiU8UZIxNJpSXqkrByRxCct36B17FTnYu0y4XExl8iV63uTK+ZsX0396nu2efunVPH5TzKYZT/KFTNx1lBIqLswlSamS7XvxsVh6V/L0T9s9+jtK2+TuVWzsrw6PgTHApxGwpzlaBLwKLTi/DzwZ/xIP6BOteieAvVPTufaz6th0dEZPEiGBhl/ao0uSUmJuLMmTNG72N05MptHFgUgA6R8+FmE4NE2OJWmS7waTMWcMlttOcl45KeR7Kc/++zfyMJSXCxd8EHlT9QnbUd7Ry1Hh4RkcViYGQBDR51uiT8u+sAHLZ8jteSdqlzD+xyI6Hxl8hTqxvTa2bseNhxfBv4LY7cPqKOi+YsiuE1huOVQq9oPTQiIovEwMiCOl/fj47HiuULUPf0dyhpe0Odu5HTF16dfoJjQd9sGQNlPSnKXn1hNSYGTcSdmDvqXP1C9VWAVCRnEa2HR0RkURgYWeCWICeuhuHA4m/xZsSfyGETq9JrN0u/g0Jtv2Z6zYxFxkVi+pHp+PPEn0hISlCb1nav0B29K/WGq4Or1sMjIrIIDIwsdK80+XKt23MA9hs/Q9Ok3ercfbs8SGj0JTzrdANsbLJ9TJQ1Lty/gHGB47Drhj5tKkXZH/t9jOYvNYcNv65ERJnCwMhCAyODBzHxWPX3fNQ6/T1K2OjTa9dzVoFXx5/gVKiyZuOizJEfR9lzbdz+cbgWeU2dq5avGkb7j2b3bCKiTGBgZOGBkcGZG3cQtHAs2kTMh6tNLBJgi+uluqLIm1/Bhuk1sxWbGIs5x+dg5tGZeJjwUHXP7lC6A/pX6Y/czvy6EhGlFwMjM1+unx7yJdy8Lxg26z9B46Q96tx92zyIa/wV8tbpyvSaGQuJCsEPQT9g3aV16li2FBlQZQDal24PO1s7rYdHRGQ2GBhZyYxRalGxCVi9/E/UOPkditvcVOeuuldVq9dcClXSeniUCftD9iMgMABn755Vx2XylFHds/3y+2k9NCIis8DAyAoDI4PzIXdwYOHXaHlvPlxs4lR67WrJrijW/mvYOHMTU3Puni17rU09NBUP4vTds6UwWwq08+fIr/XwiIhMGgMjKw6MhHxZ/9t/EFg3Cg10e9W5u7YeiG30JbzrMr1mzu7G3MVPB3/C0jNLU7pnv1/5fXQr343ds4mInoGBkZUHRgYP4xKxdsU8VDsegGI2IercZfeqyNtpKlwLVdR6eJQJJ+6cQMC+ABy6fUgdF3YvjBE1RqB+4fpaD42IyOQwMDIScwuMDC6HhiN44Vd4LdyQXrPDpZJdUUKl18zn86BHyY+vdM+edGASbj+8rc7VK1hPdc8ulquY1sMjIjIZDIyMxFwDI4PdQQeQuHYU6iXuU8fhtp6IafQVfOp2YXrNjEXFR2HGkRmYe2KuqkWyt7VXqTVJseVwyKH18IiINMfAyEjMPTASMfGJ2LBiLnyPBaCozS117qJ7NeTt9BPcmF4za5fuX8L3+7/Hzus71XFel7wY7DcYLYq3YPdsIrJqEWl8/ba67dmvXr2KBg0aoHz58qhcuTKWLFkCa+PsYIdWHXrCrv9erMrTEzFJDnjpQTCcZ76C0/MGQRejX/FE5kfSZ9MaT8PURlNVzZGk10bvHI3u67rj5J2TWg+PiMjkWd2M0c2bN3Hr1i1UqVIFISEh8PPzUw0bc+TIYTUzRo8LDA5G/JoRqJsQqI7v2HoiqsFXKFKP6TVzFpcYp1JrkmIzdM9uX6o9BlQdwO7ZRGR1IphKSxtfX1+sXr0ahQsXttrASMQl6LBp5RxUPBKAIsnptfNu1ZG30xTkLFxB6+FRJrtnTwyaiLWX1qZ0zx5YdSDalWrH7tlEZDUiLDWVtn37drRs2RI+Pj6qZmLFihVP3Ee27ihWrBicnZ3h7++PwED9TMjjDhw4oLb4SGtQZMkc7W3xeruecBi4D/966tNrJSKD4PL7KzgxdzDTa2bMO4c3xtUfh1nNZqFUnlK4H3sfX+/9Gp3/7YyDoQe1Hh4RkUkxu8AoKipKzfJI8PM0ixYtwpAhQzBmzBgEBwer+zZr1gyhoaGP3C88PBzdunXDjBkzsmnk5qGAZx68MWAyjrfdgD32NeCABJS/MAvh46rg0vb5sj5c6yFSBtXwroHFLRZjZM2RcHd0x8nwk+i2thtG7RiF29H6pf5ERNbOrFNpMmO0fPlytGnTJuWczBDVqFEDU6dOVcc6nU7NCA0YMAAjR45U52JjY9G0aVP07t0bXbt2fe5zyH3llnoqTh7P0lJpTxOfqMPWlXNQ7vC3KGyjDyzPuNVAvk5TkLtwea2HR5kQHhOOKcFT8PfZv1X3bFd7V/Tx7YN3yr0DBzsHrYdHRJTlLDaV9jxxcXEqPdakSZOUc7a2tup4zx79rvMSB/bo0QONGjV6YVAkAgIC1IU03Kwp7eZgZ4tX3+wJp48Csd6rO2KTHFA6cj9y/P4yjs4ZgsSYSK2HSBnk4eyBL+p8gYVvLERlr8qITojGxAMT8eaqN7Hr+i6th0dEpBmLCozCwsJUzVD+/I9uqCnHsgJN7Nq1S6XbpDZJVqbJ7ejRo898zFGjRqno0nCT5f7WJp9HHjTrPwWn221EoH11OCARlS7+jjvfV8H5/xYwvWbGKnhVwLzX5+Hrul+rYOlSxCX02dQHA7cMxLUH17QeHhFRtrOHlXn55ZdVei2tnJyc1E1qmuQmgZe1qly5KhLKb8CWf+ehzMGxKJh0G/m29sWpwD9Ues2jSDmth0gZIMv425Rsg8ZFGuOXw79gwckF2Hp1q5o56lmxJ3pV6qU2qiUisgYWNWPk5eUFOzs71acoNTn29vbO1GP369cPJ06cwP79+2HN7O3t0Kh1Dzh/tB+b8kp6zR5lowLh9vvLODT7YyQwvWa2pCBb9lhb1moZ/Av4I04Xh+lHpqP1itbYcGmDSkMTEVk6iwqMHB0dVcPGzZs3p5yT2SE5rl27dqYeW2aLpFu2FHYT4JknD5r0m4Lz7TfigIMfHG0SUOXSTJVeO72N6TVzViJ3CfzW9DdMbDARBXIUwM2om/j4v4/Re2NvnL93XuvhEREZldmtSouMjMS5c+fU21WrVsXEiRPRsGFDeHh4oEiRIqp+qHv37pg+fTpq1qyJyZMnY/HixTh16tQTtUcZYakNHjMjMVGHXf/OQcngsfBBmDp3PIc/8nX8EXmLMr1mzqRj9qxjszDr6Cw1g2RvY4/O5Tqjr29fNcNERGQuLLbz9bZt21Qg9DgJhmbPnq3elqX648ePVwXXUlw9ZcoUtYw/KzAwera79+7h8MLPUDtkAZxsEhCXZI+jxXqi0ltfwNHFTevhUSZcfXAV4/ePV7VHwtPZE4P8BqFViVaqRomIyNRZbGCkldTF17K3GgOjZztz/CCiVg5B1bhgdXzTJh/CX/kKFRq8xb3XzJwUZH8X+J1avSYq562M0TVHq9VtRESmjIGRkXDGKG10iTrsXTMbxQ98A+/k9NpR11rI23EyvIsxvWbO4hPj8efJP/Hr4V9V/yMb2ODNUm9iYLWBask/EZEpYmBkJAyM0uf+/Xs4suAz+IfMh6NNomoSebhoD/h2/gJOTK+ZtdDoUEw6MAmrL6xWx1Jz1L9Kf3Qs0xH2tlbXCYSITBwDoyzGVFrmnD95EJHLh8A3Ob12wyY/wl7+CpUbv6X10CiTZCPab/d9i1Php9SxbFQ7quYotTcbEZGpYGBkJJwxyrgknQ77185G0f1jkR931LlDrrWRt/0kFCzO9Jo5S9QlYtnZZZhycArux95X55oXa44h1YfAO0fmeogREWUFBkZGwsAo8x5E3MXRhZ+hxo0FcEhOrx0o0hPVOo+BsyvTa+bsXsw9TD00FUvOLIEuSac6Zr9f+X10K98NjnaOWg+PiKxYBAOjrMVUWta7fCoYD5YPRsXYQ+r4uk1+hNT9CtUad4INV6+ZtZN3TiIgMECl2UQR9yIYUXMEXin0itZDIyIrFcHAyDg4Y5T16bWD62ajcODXyItwdS7YpTa82k9EkRLltR4eZYL8apHCbCnQvv3wtjongdGIGiNQJGcRrYdHRFYmgoGRcTAwMo7oB3dxdMGnqHZjoUqvxSQ5YH/hnvB7ewxcmV4za1HxUZh+eDrmnZyHBF0CHGwd0L1Cd/Su1BuuDq5aD4+IrEQEAyPjYGBkXFdPB+PB34NRPjm9dg3euFHnK9Ro2pHpNTN38f5FfB/4PXbd2KWO87nmw9DqQ/Fasdf4tSUio2NglMVYY5S96bWj6/+Az76v4YW76tx+5zrwavcDXirF9Jo5k183sq3IuP3jcD3yujpXPX91jPIfhdJ5Sms9PCKyYAyMjIQzRtknJvIeji0YDd/rf6n02sMkR+wr1BN+nT+HuxvTa+YsJiEGfxz/A78f/R2xibGws7FDpzKd8GGVD5HLKZfWwyMiC8TAyEgYGGW/m2cO4v7fH6FszGF1fAUFcK32l6j9KtNr5u5G5A1MCJqAjZc3quM8TnnwUbWP0LZUW25OS0RZioGRkTAw0khSEo5vmIX8e7+GV5I+vbbPqTZytRmPsuUqaT06yqS9N/ciYF8ALty/oI4reFbAaP/RapNaIqKswMDISBgYaSsm8i5OLRyNitf+gr2NTq1e257/HVR5awzyeeTReniUCfG6eCw8uRC/HP4FkfGR6lzrEq0xyG8QvFy8tB4eEZk5BkZGwsDINISdP4TwZYNROlq/99q1pLw4XnkkGrbqCUcHO62HR5kQ9jAMkw9MxsrzK9Wxm4Obqj16q+xbaqk/EVFGMDDKYlyVZoKSknD+vz+Rc/sXyKsLU6cC7aoi8dUA1KpZi/VHZu7w7cMqvXb8znF1XCJXCbV6zb+Av9ZDIyIzxMDISDhjZHp0MZE4tfRLlDw3C45IQFySHTbkbIdynb5CiUIFtB4eZYLst7b87HL8GPwj7sbqa8uaFm2KYdWHoYAbv7ZElHYMjIyEgZHpirx5GiGLBqPkPX0DwVtJubGr+CA07tAPuVy5gak5ux97H9MOTcNfp/9SwZKznTN6VeqFnhV7wsnOSevhEZEZYGBkJAyMTF/I/hWwXT8K+RJuqONglMPNul/jtcZNYGfL9Jo5Ox1+Wm1Oe+DWAXVc0K0ghtcYjoaFGzJ1SkTPxcDISBgYmYn4GFxc/T0KHJ4KZ8QhMckG/zq/gQJtvkaNcsW1Hh1lgvzKWndpnep/FBodqs7V9amLETVH4KVcL2k9PCIyUQyMjISBkXmJD7+Ma399jJdC9Q0E7yS5Y13+D1D/rcEo5MHu2eYsOj4avx39DXOOz1FL/e1t7dG1XFd84PsBcjjk0Hp4RGRiGBgZCQMj83T/xCbErPwY+WMvqeMjSSVwzPcztG3RCi6OXN5vzi5HXFZ7r22/tl0d53XJiyHVh+CNl95geo2IUjAwMhIGRmYsMR4hG6cg574JcE2KVqf+sW0Mh9e+RLMaFfkiaub+u/ofvt//Pa4+uKqOq+Wrppb3l/Uoq/XQiMgEMDDKYuxjZDmSHoTg+tIRKHR5hTqOSHLF0pzdULPjcFQs7Kn18CgTZEPaucfnqhTbw4SHar+1DqU7oH+V/sjtnFvr4RGRhhgYGQlnjCxH7MU9uL9sEPJFnlLHp3SF8V+JYWjX7i14uXEJuDkLiQrBD0E/qCJtkcspFwZWHYh2pdrBzpapUyJrFMHAyDgYGFkYXSLu7ZwJh21jkUMXoU6tSaqDe3U/R/tG/nC05w7v5mx/yH58u+9bnLt3Th2X8yin0mtV81XVemhElM0YGBkJAyMLFR2O0JWfwev0fNgiCVFJTljg1BGlWo9AgwqFtR4dZUKCLgGLTi/Cz4d+xoO4B+pci+ItMMRvCPK65tV6eESUTRgYGQkDI8umu34Q4UsHwevuIXV8QeeN5d4D0bp9d5TMx+X95iw8JhxTgqfg77N/IwlJcLV3RR/fPnin3DtwsOPmtESWLoKBkXEwMLICSUl4eGABEtd/Crf4cHVqk84Pp3xHoevrDZDLhS+i5uxY2DG1Oe2RsCPquFjOYhhZcyTqFqyr9dCIyIgYGBkJAyMrEhOBe+vGwu3QTNgjEbFJDphj2wa5Xx2Gdv6lub2IGZP91laeW4nJwZPVTJKQbUVke5FC7oW0Hh4RGQEDo+do27Yttm3bhsaNG2Pp0qXp+lgGRlYo9BTuLhuMPLd2q8NrSV6Y4/4+mr75HmoW5/J+cyY1R7I57cJTC5GYlAhHW0e1Ma1sUOti76L18IgoCzEweg4Jih48eIA5c+YwMKK0SUpCwvGViPlnBNxiQ9Sp7YmV8F+JoXi3TTMUzM0XUXN27u45fBf4HfaF7FPHBXIUwNDqQ9G0aFM2/iSyEGl9/bbKtcgNGjSAu7u71sMgc2JjA/uKbeD28UFE1xqCeBtHvGJ3FCMvvot1E9/DtHXBeBiXqPUoKYNK5imJ3179DT/U/0EFRTejbuLj/z5G7w29VdBERNYjU4HRjh078M4776B27dq4fv26Ojdv3jzs3LkTxrJ9+3a0bNkSPj4+6i+5FSv03YtTkw7VxYoVg7OzM/z9/REYGGi08ZCVcXSF62tj4DBgHyKKNIGDTSJ62a5G+z1tMW7cl/jn0HW1+zuZH/l98mqxV7GyzUq1Wk3SajKD1P6f9vg+8HtExOn7XBGRZctwYLRs2TI0a9YMLi4uOHjwIGJjY9V5maL69ttvYSxRUVHw9fVVwc/TLFq0CEOGDMGYMWMQHBys7ivjDA0NNdqYyAp5FEfOd5ch6e3FiMpRFPls7mFMwo/I/3dbDJ86H8eu39d6hJRBUlvUr0o/FSA1KtxI1R79efJPtFzeUi31l8JtIrJcGa4xqlq1KgYPHoxu3bqptNThw4dRvHhxFSQ1b94cISH6Ogxj/4W3fPlytGnTJuWczBDVqFEDU6dOVcc6nQ6FCxfGgAEDMHLkyEfqjOQ+L6oxkoDPEPQZcpTyeKwxohQJsYjf+ROwfTwcdDFITLLBAl0TXKw0CB++XoPbi5i53dd347v93+Hi/YvquKJnRdU9u3LeyloPjYhMqcbo9OnTeOWVV544L0967949aCEuLg4HDhxAkyZNUs7Z2tqq4z179mToMQMCAtTnZLhJUET0CHsnODQYCoePDuBh6daws0lCV7uN6H+8E34e/yl+334WcQmcZTBXdQrWwbKWy1Qxdg6HHDh25xi6rOmCT3d+irCHYVoPj4iyWIYDI29vb5w792RRotQXycyRFsLCwpCYmIj8+fM/cl6OU89gSaDUoUMHrFmzBoUKFXpu0DRq1CgVXRpuV69eNernQGYsVyG4vD0X6P4PonOXhodNJMbYzECNTR0weOJv2Hqa6VxzJZ2xu1fojtVtV6NViVbq3MrzK1V6be7xuYjXxWs9RCLSOjDq3bs3PvroI+zbt0+ltG7cuIH58+dj6NCh6Nu3L0zZpk2bcPv2bURHR+PatWuqePxZnJyc1JSbFJXXqlVL9T4ieq6XXoHrgN3QNQtAnL0bKttexM/RwxE2rxc+mrkeF25Haj1CyiAvFy988/I3mNd8Hsp7lkdkfCTGB41H+1XtsedGxmalichCaozkw6TIWlJNEmAYgggJjL7++mtkh8drjCSV5urqquqGUtcdde/eXaX3Vq5cmennZB8jSpfIUMStHwPHowvUYUSSC35M7AB7/97o17QccjpzexFzJUXYy88ux4/BP+Ju7F11rkmRJhhaYygKuhXUenhElN01RhKUfPLJJwgPD8exY8ewd+9eNQuTXUHR0zg6OsLPzw+bN29OOSfF13L8vFmhtJBVcOXLl1eF3URp5pYPju1+AXptQkzeyshp8xCf2c/Fm/s7Y9i4qfgr8AoSdVzeb45sbWzRrnQ7/NP2H3Qp1wV2NnbYdGUTWq9orbppxyTEaD1EIsoAs+t8HRkZmVLbJCvjJk6ciIYNG8LDwwNFihRRy/Vlhmj69OmoWbMmJk+ejMWLF+PUqVNP1B5lBGeMKMN0icDBeYhb/wUc4/QzDKsTa2Gp5wfo16YBahTz0HqElAln7p5R3bP3h+xXxz45fNTskcwisXs2kYVuCSL9gdJKAhZjkGX2Egg9ToKh2bNnq7dlGf748eNVwXWVKlUwZcoUtYw/KzAwokyLDkfilm9gEzQLttAhOskJUxNa42b59zDsjcrw4fYiZkt+nW64vAETgiYgJEq/4MO/gD9G1RyFErlLaD08IqsWYYzA6GkByVMf1MYGW7ZsgSWRVJrcZNXbmTNnGBhR5t08gvjVH8Phur4z+0VdfgQk9UCF+h3w/ivF4eJop/UIKYOi46Mx69gs/HHsD8Tp4lSarXPZzviwyodwd+R2REQWv4ms4SGsYbqYM0aUpeRn5+gSxK/7BA7R+uX8GxOr4TeX99CtRUO8UamAVfxcWaqrD65i/P7x2Hp1qzr2cPbAoGqD0Lpka1WjREQWtons77//jooVK6o9yeQmb8+cOTMzD0lkXSToqdwRDh8FI6nOQOhs7NHULhjzYj/ChcWj0HX6Nhy/we1FzFVh98KY0mgKfm3yK4rlLIbwmHB8vvtzvLPmHRy9fVTr4RFRVs4Yff7556qOSLbaMKz4kkaJUt8jW4V89dVXsCRMpVG2uH0GiWuGwe7iNnV4PckT3yS8g1zV2mNoszLw5PYiZis+MR7zT87HL4d/QXSCvsVJ25JtMbDaQNUfiYjMPJWWN29eVdTcuXPnR84vXLhQBUvShdoSMZVGRic/kqdWI2HNSNg/uKZO7UysgPF2vdCqSSN0q10UDnZMw5ir29G3MTl4MladX6WO3RzcVO3RW2XfgoMt+1oRmW0qLT4+HtWrV3/ivPQRSkhIyOjDEpGk18q1hP2A/UD9EdDZOuJlu+NYmjQMunWj8eakddjG7UXMVl7XvCnds8t5lFPds8ftH4cOqzpg7829Wg+PyOpleMZIZoUcHByeWJYvna8fPnyo0k6WhKk00kz4RSStHw2b02vU4e2kXAiI74z7pd7EJy0qoHheN61HSBmUqEvE8nPLMSV4Skr37KZFm6oNa33cfLQeHpFFMXoqTQKjuXPnqt3mZQ8xIfumXblyBd26dVNBk7F7GmmBqTTSzNlN+vqjuxfUYZCuNL5O7AH/uo3Qv1FJbi9ixu7H3lfdsv86/ZfaasTJzgm9KvZCz4o94WzvrPXwiCyC0QMja+1pxMCINJUQC+ydBt22cbBNiIYuyQYLEhvhD6d38P5r1dHBrzBsbbm835y7ZwfsC0DQrSB1LHuuDas+DI2KNGLbBiJz6mNkTRgYkUmIuAFs+Aw4tlQd3k1yw4SEjjiWvw0+a1UJ1bm9iNmSX8nrL6/HhP0TcCv6ljpXq0At1T27eO7iWg+PyGwxMDISBkZkUi7thO7fobC9fVIdHtMVw+fxPVCocgOMer0sCuTi9iLm3D175tGZmH18NuJ18bC3scfb5d5GH98+7J5NZKqBUUxMDI4cOYLQ0FC1i31qrVq1giVh8TWZrMQEIOh36LaMhW1shDq1LLEeJuMddGjgp7YXcXbg9iLm6mrEVbVqbds1fW8rT2dPDPIbhFYlWrF7NpEpBUbr1q1TRdZP61ckuXAJICwRZ4zIZEXeBjZ/CRycpw4fJLlgckI7bHRrjYGvlkebKj6wZ/8js7Xj2g4VIF2KuKSOK3tVxij/UajoVVHroRGZBaMHRqVKlcKrr76qOmDnz58f1oKBEZm8aweQtGYobG4Eq8MzuoL4IqE7Qjz98VHjUmhZ2YcF2mbcPXveyXmYfni66p5tAxu0LdUWA6sOhKeLp9bDI7LuwEge9ODBgyhRogSsCQMjMguS2j70J5I2fgGbh3fUqX8Ta+Kb+Hfglr8YBjcpjWYVvBkgmanQ6FBMOjAJqy+sVsfuDu7oV7UfOpXpBHtbe62HR2SdgdG7776LunXrolevXrAmDIzIrDy8C2wNQNL+32CTpMNDOOLn+Nb4LfENlCjghcFNS6NJuXxcCm6mDoYeVMv7T4bri+9L5i6pVq/VLFBT66ERWV9gFB0djQ4dOqg90ypVqvRIQ0cxcOBAWBIWX5NZCzkGrB0OXN6lDq8m5ccX8e9gs64afAvlVgFS/dJ5GSCZaffsZWeX4aeDP+Fe7D117tWir6ru2QXcCmg9PCLrCYx+//139OnTB87OzvD09HzkF6q8feGCvjuvpeGMEZkt+VE/tgzY8Cnw4KY6tT2pCj6P64pLSQXgVzQPPm5aGnVKcqd3c+2ePfXgVCw+s1h1z3a2c0avSvru2dJJm8jaRRg7MPL29lazQiNHjoStrfWsdGFgRGYvNhLYPh7Y8zOgi0eCjQN+T3wdP8a1RjScUau4B4Y0LYOaL7FJpDk6HX4aAYEBOHDrwP+7Z9cYhkaF2T2brFuEsQMjDw8P7N+/n8XXROYq7BywbgRwbpM6vO+QF1887IzlCf7yqwH1SnlhSNPSqFokj9YjpXSSX+vrLq3DhKAJqlBb1PGpgxE1R6B4LnbPJusUYezAaPDgwaq+aPTo0bAmDIzIosiP/+m1wLqRwL3L6tSFHFXQ/15nnEgsrI4blc2nAqSKBXNpPFjKiu7ZXcp1Ud2z3RzdtB4ekWUFRpJGmzt3Lnx9fVG5cuUniq8nTpwIS8TAiCxSfAywewqwYyKQ8BBJNnbYlacN+oc0xz2dq7rLq+XzqyLtcgX4fW9urkRcUc0h/7v2nzr2cvHCYL/BaFG8Bbtnk9WIMHZg1LBhw2c/qI0NtmzZAkvEwIgs2r0rwPpPgJOr1GGiiycW53oXn1z2hS5J/wL6RuUCGNykFErm435d5mb7te0qQLocoZ8d9M3rq7pnV/CsoPXQiIyOm8gaCQMjsgrntwJrRwBhp9VhTD5fTHH6ANPO5lbH0heydZWCGNi4FF7yyqHxYCk94hLjMO/EPEw/Mh0PEx6q7tlvlnoTA6sNhIczC+7JcmVbYHTixAlcuXIFcXFx/39QGxu0bNkSloR9jMjqJMYD+6YD274D4h6oU/fKvoWvH7bHstP6n3c7Wxu8WVUfIBX20KfcyDxIUfbEAxPx74V/1bG7ozv6VWH3bLJcRg+MpE9R27ZtcfToURUIGR7GsByUm8gSWYgHt4BNY4DDC/XHTrlwo+pgfHajFjafCVen7G1t0LFGYfRvWBI+uV20HS+lS/CtYLW8/1T4qZTu2aP9R6OGdw2th0ZkXoGRzAjZ2dlh5syZeOmllxAYGIg7d+7g448/xoQJE1CvXj1YIgZGZLWu7APWDAVCjuiP81XAab/PMPaYB3acDVOnHO1s0blmYfRrWBL5cjprO15Kd/fsKQenqEaRolmxZqp7tncOb62HR2QegZGXl5cqsJYVafJEEhiVKVNGnZPgSDaYtUQMjMiq6RKB4DnA5q/0+7CJCm/iYNmP8d3uB9h3UT+D5GRvi661iqJPgxLwcmPXZXNxL+Yeph6aiiVnlqR0z36v0nvoUbEHu2eT1bx+Z3idpqTK3N3dU4KkGzduqLeLFi2K06f1BZtEZGFs7YDq7wIDgoHqvQBZ6n38b1Rd1RR/lduNBT2roFqR3IhN0GHmzot4ZdxWfL/uFO5G/b8GkUxXbufc+LTWp1jUYhGq5auGmMQYFSi1XtEaW65sSSmZILJkGZ4xklSZzAy1adMGb7/9Nu7evYtPP/0UM2bMwIEDB3Ds2DFYIs4YEaVy8zCwZjhwda/+2KM4kl77Dv8lVcXEjWdw5Jo+LePmZI936xZDr3rFkcvl0Z5nZJrkpWHtxbX4IegHhD7Ud8+u61NXdc9+KddLWg+PyPRSaevXr0dUVBTefPNNnDt3Di1atFCrtWRD2UWLFqFRo0awRAyMiB4jv0KOLAY2fgZE3tKfK90cSc2+xaZbOVSAdPJmhDqd09kevesVR8+XX1LBEplH9+wZR2Zgzok5SNAlqO7Z75R/Bx9U/oDds8msaNLHKDw8HHny5LHojQoZGBE9Q0wEsH0csPcXQJcASE1K3YHQ1R2MdWciMGnjGZwNjVR3zePqgA/ql0C32kXh6sgAyRxIU8jvA7/Hjus7UrpnD/EborpnW/LvfLIcbPD4HKtXr1ZpQJ1OhxEjRuC9995L88cyMCJ6gdun9c0hL2zVH+csBDQbi8SyrbH66E38uOksLoRFqXd5uTmiT/0SeKdWUTg72Gk7bkpz92wJkK48uKKOq+Storpnl/csr/XQiLQNjB4+fKhy0K6u+qZuly9fxvLly1GuXDk0a9YMpiohIQHly5fH1q1b1QXy8/PD7t27VQowLRgYEaWB/Fo5tRpYNxq4r38BxUuvAM3HI8GzNFYcuoEpm8/iSni0elf+nE5qiX+nGoXhZM8AyRy6Z889MVel2Azds9uXbo+BVQeqAm4iq1yV1rp1a7WJrLh37x78/f3xww8/qGLsX375BaZK2gpUqFABBQsWhJubG5o3b44NGzZoPSwiyyKplXItgX77gPojAXtn4OJ24Ne6sN/4KdpXcMfmj+sj4M1K8MnljFsRsfh85XE0HL8NC/ZdQXyiTuvPgJ7D0c5RLeNf1WYVmhdrjiQkqSX+byx/A3+d+kv1RSIyVxkOjIKDg1OaOC5duhT58+dXs0YSLE2ZMgXGsn37dtVc0sfHR+W1V6xY8cR9ZOuOYsWKwdnZWQVsEgwZSFsBCYoM5O3r168bbbxEVs3RFWg4Sh8glW2hrz3a+zPwU3U4HP0LnasXwtZhDfB16wpq1ujG/RiMXn4UjX7YhiVBV5HAAMmkSfPHcfXHYVazWSiVpxQi4iLwzb5v0Gl1Jxy4dUDr4RFlb2AUHR2d0sdIZlxkdZqtrS1q1aqlAiRjkZVwvr6+Kvh5GlkRN2TIEIwZM0YFb3JfSe2FhuqXm6ZXbGysmn5LfSOidMpTDHhrPvDOMsCzJBAVCqzoC8x6FU6hR9C1djH8N6whPmtRXtUdXQ1/iGFLj+DVSdux8tB1JOqsrhTSrMj2IYtbLMaomqPUnmun755Gj3U9MGL7CLUnG5FVBEYlS5ZUszVXr15VS/dfffVVdV4CEGPW3kjqa+zYsWqftqeZOHEievfujZ49e6paol9//VXVQc2aNUu9X2aaUs8Qydty7lkCAgJUTtJwK1y4sBE+KyIrUbIJ0HcP0PQrQJZ6X9sPzGgI/PMRnOPuodfLL2H78IYY1bysWrkmRdof/XUIr03ejjVHb0LHAMlkycazb5d7G6vbrka7Uu1U3dGai2vQcnlLzDo2C/GyKTGRGchw8bWkz6Sxo3TAlp5FGzduTAkkJN21du1aGJuk0qTgW+qaRFxcnAqCZGyGc6J79+6qDmrlypWq+FoKxLdt25am4muZMZKbgcwYSXDE4muiTIq4CWz8HDi6WH8sRbuNPtV31ra1Q2RsAmbvuogZ2y8gIiZB3aVcgZwY3KQUmpbPzyXiJu542HF8G/gtjtzW761XLGcx1Rzy5YIvaz00slIRxiq+/vzzz1Vn6/bt2+PKlSsICgpSM0YGjRs3xqRJk6CFsLAwFahJvVNqchwSEqLetre3V0XiDRs2RJUqVdSy/eetSHNyclIXcN68eSpNKJ8fEWWBnAWAdr8BPdcC+SsBMff0m9ROrw9c3qMaQPZvVAo7RjTCwMal1LE0inx/3gG0/nkXtp4O5RYVJqyCVwXMaz4PY+uOhaezJy5FXELfTX0xYMsAXH1wVevhEWXdjNG7776r+gA5OjqqIuhWrVqpYEGOs9vjM0aGwmqZAapdu3bK/YYPH47//vsP+/bty/Rzcrk+kREkJgAH/gC2jNUHSKJSR33KTQIoWf0aHadmj2bvvoToOP2qJ9mX7eNXy6BOCU/OIJmwB3EP8MvhX7Dw5EIkJCXA0dZRbUwrK9tc7F20Hh5ZiQhjzRhJrY7MvixcuFAVXw8aNEhtItuuXTu1Ik26X2tFxmFnZ4dbt5K3JUgmx97e3pqNi4hewM4eqNlbvzmtXw/5s0efYptaHdj1I5AQh9yujhj+WllVg9S73ktwsrdF8JV76DJzHzrN2It9F+5o/VnQM0hB9vAaw7G01VL4F/BHnC5O9UBqtaIV1l9az5k/MilZ0vn65MmT+Oeff1QNj6TWZIm8zCR17tz5kaXxxp4xEvLcNWvWxE8//aSOpbt1kSJF0L9/f4wcOTLDzyWr4OQmqTrZE44zRkRGdD0YWDtcX5wtPEsBzb8HSv4/lR0aEYNp286rvkdxycv6Xy7phSGvlka1Inm0Gjm9gLzkbLqyCeP3j8fNqJvqnL+3P0bWHImSeUpqPTyyYJptCXL79m2sWrVK3aTP0dChQ7Py4REZGak2rRVVq1ZVq9CkXsjDw0MFQLJcX4qtp0+frgKkyZMnY/HixTh16tQTtUcZwVQaUTbR6YDDC4FNY4Co2/pz0gup2Tf65f/Jbt5/iKlbzmFx0FXEJ+p/nTUskxdDmpZBpUK5tBo9vYB0zJbVarOOzlIzSHY2duhctjP6VumLnI783UoWtCWILJE3LN03BllNJoHQ4yQYmj17tnp76tSpGD9+vEr5SYG1NJyUmaTM4IwRkUZi7gPbvgf2/QokJeq7aNcdBLw8CHD4f33K1fBo/LTlLJYF/7/vkaxeG9K0tFrNRqbp2oNravZoy9Ut6tjD2QODqg1C65KtYWuT4Y4yRNkfGEnwI00d+/Tpo5bClylTRhVgy8owmcXp27cvLBFnjIg0EnpSn16TrUVEriLAa9/qZ5FSFV5fCotS+7CtOHQdhrZHb1QqgEFNSqFUfn1TWjI9u6/vRkBggFq9Jip5VcJo/9Go6FVR66GRhTB6YCSFzrLSS/YdmzlzpqrpOXjwIJYtW6aW9EvdkSViYESkIfl1dWIlsP4TIOKa/lzxhkDzcUDe0o/c9VzoA0zedBarj+jrWCR2au3ro5b+F8/rpsXo6QWkCeT8k/PVCrbohGjVJLJtqbZqc1pPl7Rt9E2kWWAkKTSp25G6no4dO6oASbbhkE7YMnskW4ZYEqbSiExIXBSwYyKwewqQGAfY2gO1+gL1RwBOj84KnQqJwKSNZ7D+uH61qp2tDdpWLYiPGpdCYQ99KQCZltvRtzHpwCT8c+Efdezu4I5+VfuhU5lOqsM2kUkGRpUrV8Z7772ntuaoWLEi1q1bp3oHSfPHN954I6WhoqXhjBGRCQm/AKwbDZxJ7rTv5q3vfVS54yPpNXHs+n0VIG0+pd+7y97WBh2qF8aARiXhk5u9dEzRwdCDCNgXgJPh+gxEydwlVXpN9mYjMrnAKPWWINLgUTaSze4tQbTAwIjIBJ3ZAKwboQ+UROFawOvjgQKVn7jrwSt3MXHjGew4G6aOHe1s8VbNwujXsCTy53TO7pHTCyTqErHs7DJMOTgF92Pvq3PNijXD0OpD4Z2D/enIxJbry6zQzZs31Q72trb61QOBgYHqCcuWLQtLxMCIyEQlxAJ7fga2jwfiowFZ0eTXU7//mqvHE3fffykcP2w4jb0X9E1ppWHkO7WKor1fIZT1dmcnbRMjQdFPB3/CkjNLoEvSqY7Z0jm7e4XucLJz0np4ZAaMHhhJLZE17TTPGiMiM3H/OrDxM+DYMv2xiwfQ+DOgWne1Oe3jdp8Pw8QNZxB0+W7KOS83R9Qu4YW6JTxRt6QXa5FMyKnwUyq9FhwarI4LuxfGiBojUL9wfa2HRtYeGMkMkTRVlNki6RVkuMkO99I3aM6cObBEnDEiMhMXd+iX94ee0B8X8AVenwAUrvnEXeXX4PazYfhj10XsuxCOh/H6vdgMini4om5JT9Qp4aX2ZfN04wyFluTr9e/FfzExaCJuP9Q3/6xXsB5G1ByBojmLaj08stbASBo6yvL8Q4cOqX+Dg4PVJq5CnvDu3f//9WVJGBgRmdnmtPtnAlu/BZLrU+D7NtDkC8D96Z3wYxMScfDKPew+F4Zd5+/g0NV7KQ0jDaRhpGE2qeZLHsjhxJVSWoiKj8L0I9Mx78Q8JOgS4GDrgG7lu+H9yu/D1YGzfGQCW4Ls2bNHdaD+6quv8NZbb8ESMTAiMkORt4HNXwIH5+mPHd2BBiMB/w8AO4fnfuiDmHgEXgzHrnN3VNrtVMiDR94vq9uqFsmtZpMkUKpSODcc7dmxOTtdvH8R3+//Hruu71LH+Vzz4WO/j9H8peasFSPt90qT1WifffaZ2kzWkrDGiMgCXDsArBkK3NDXp8CrDPD6OKB4gzQ/xO0Hsdhz4Q52nZUZpTBcu/vwkfe7OtqpWaS6knYr6Yly3jlha8sXZ2OTl7JtV7dh3P5xuBapb/7pl98Po2qOQhmPMloPj6whMJJaItkC5HGywWulSpXUXmqWiDNGRBawOe2hP4FNXwDRd/TnyrcGXv0GyJ3+BSVX7kRjp0q7hWHP+TsIj4p75P0eOaSQ21MFSlKnJPVKnMUwntjEWMw+Nhszj85ETGKM2m+tY+mO6F+1P3I5cVNhaxZh7MBIgiLZMFZ2uJeia/nXx8dHbQ1y4cIF/POPvmOppWFgRGQhHt4FtgYA+38DknSAvQtQbwhQZyDgkLF+Rjpdkkq1ScpNgiVJwUXHPVrIXTC3C14uqZ9NkvRbXncWchvDzcibmBA0ARsu63vs5XbKjYHVBuLNkm/C7imrE8nyRRg7MNq5cycOHz6sblKAfezYMcTExKj3vfbaa6hevbqaOZKbJfU0YmBEZGFCjulXr13W16cgdxHg1bFAuVZPdM9Or7gEHQ5fu4dd58Kw+9wdBF+5i4THCrnL5HdXtUkym+Rf3BNuLOTOUvtu7sN3gd/h3L1z6ri8Z3mVXquSr4rWQyNLrzHS6XQ4ffq0CpLkZgiaQkNDVV2OpWBgRGSB5Neg9D3a8BnwQL+6FkVfBpp/B3hXyrKniYpNQOClcP2Kt3N3cOJmxCPvl33cfAvlSp5R8lJF3U72nN3IrHhdPBadWoSfD/2MyPhIda5ViVYY7DcYXi5eWg+PLL34+nG3bt1C/vxPXxZrTlh8TWQlm9Pu+lF/S4jRd8+u1g1o9BmQI+tfQO9EJhdyJ694u3zn0c23nR1sUaOYhwqUZFapfAEWcmfGnYd38GPwj1h+brk6zuGQA319++Ltcm+rpf5k2UwmMLI0nDEisgL3rgAbxwDH/9YfS9Fu/eFAzfcB+ycXnWSVq+HRKkAyBEphkY8Wcud2dUDt4vr+SXIr5slC7ow4cvuI6p597M4xdVw8V3GMrDkStX1qaz00MiIGRkbCwIjIilzeDawbCdw8rD/2LAk0+xYo9Wqm649eRH41n771QB8knQvDvovhiIxNeOQ+PrmcVcpNpd5KeCIfN8FNM9lvbcW5FWoGKTxGv19ekyJNMLTGUBR0K6j18MgIGBgZCQMjIiujSwQOLdA3iIzSbz+Bkk30AVLe7OuPE5+owxFVyC2ptzBVyB2f+Oiv71L53FJmk/yLeyCnM9NDLxIRF4Fph6bhr1N/ITEpUW1I26tiL/Ss2BPO9gw0LQkDIyNhYERkpWIigB0TgD3TAF08YGMH1Oyt76DtkifbhxMdl4D9l+4mb10ShuM3IlQNuYGUIlUulFutdpNAqVqRPHB2YCH3s5y5e0atXtsfsl8dy6zRsOrD0KhII6YrLQQDIyNhYERk5e6c169eO/2v/tjFA2g4GvDrCdhpt9T+blQc9l64o/on7T5/BxfDoh55v5O9vpBb+idJ6q2CTy61Co7+T14O119ejwn7J+BW9C11ro5PHbU5rdQhkXljYGQkDIyISDm/FVg3Crh9Un+crzzwWkC6thcxpuv3Hib3T9JvhitbmaSW09le35E7OfVW3CsHZ0aSRcdHq87Zs4/PVkv97W3s0aVcF/Tx7QM3Rzeth0cZxMDISBgYEVGKxATgwB/A1m/0nbRF2RbAq18DHqYzwyC/5s+FRqpAaee5O9h34Q4ePFbI7Z1TCrkNW5d4wTsX62uuRlxVe69tu7ZNHUvPI+l91KJ4C7XVCJkXBkZZjH2MiOiZosOB/74HAmV7kUTAzhGo1ReoNxRwNr3fEwmJOhy9fl+l3CRYCrp8V3XpTq1E3hwqQJJtS6RFQC5X6y3k3n5tO74P/B5XHlxRx1XyVsEo/1GqizaZDwZGRsIZIyJ6ptBTwPpRwPkt+uMc+YDGnwNVugC2pjvDEBOfiKBLd1URtwRKEjQ9XshdqWAu1RpAZpSqF7O+Qu64xDjMPTEXM47MwMOEh7CBDdqXbo+BVQcit3NurYdHacDAyEgYGBHRc8mv1DPrgfWjgfDz+nMFqgDNvweK1II5uB8drzpy65tNhuH87UcLuR3tbeFXJA+KerrC1dEeOZzsUv7N8dix+tfRHq5OdmofOCkCN+dapltRt/DDgR+w9uJadZzTMScGVB2ADqU7cHNaE8fAyEgYGBFRmiTEAYEz9Cm22OQ90Sq2A5p8CeQuDHMScj9GBUgyoySb4YZE6DcMzwiZfcqRHCgZ/pXgSYImV8f/n0v9bw4nCa7s4Gr4N1XQJR8nW6dkd7AVFBKEgMAAtcxflMlTRqXX/PL7Zes4KO0YGBkJAyMiSpfI28CWr4HguTKdBNi7AHU/0t8cXWFu5CVDZpACL4YjPCoWkbGJqqdSlOHfuERExyb/q87r3/cw3nibiUtMlMMxObBKFWCp4OkpwZQcq2DLcN/HgjIJtlwc7F4YbCXoErDkzBJMPThVNYoUr7/0Oob4DUH+HOa/R6ilYWBkJAyMiChDZFsRWd5/eZf+OGdBoOlX+lkkM04tpVWiLkkFR4agSR8wJSBa3o5LQHRs8r/J75N/ZQuUR4KuVMGX4T7GIl8SV4cnAyv97NWjAZWtfTSCHyzA0YgNKvh1tHVGq6Ld0fqlt5DLxUV9vIOdbcrjSn2S/P//Y/lXnX3kPqm/LR4/99SPsYLvo8xgYGQkDIyIKMPk1+2JlfoGkff1K5xQ2B947TugYDWtR2d2dMnB1tMCKwmi9OdTz179/99nBWNynNFXRVvna3DOvwp2rvqvrS7WCzG3WiIxKvu2jjF4XsCVEpSlIeBC6sd5TlCmHiUNj/vI+J7z3Mv61kGeHFm7YTMDIyNhYEREmRb/ENgzFdgxCYhPLmyWlWuygs3dW+vRWTV5SVTB1nNShCrwSh1YpQqwHsTG4XbSboQ7LUeS7QP1mAkPyiHmVgskxXtq/emZjQOfNoGnm1OWPiYDo+do27Yttm3bhsaNG2Pp0qXp+lgGRkSUZSJuAJu+BI78pT+Wrsr1PgZqfQg4sMGiOYuMi8Svh3/F/JPzkZCUAEdbR3Sv0AM9K8jmtK4ps1JJ8l+qV2F523DOcFpepuVtdb/HPk5/Xn/ScB/9vfUnHj+X+mOe9rxP3EedSX7uJ8b16PgfP07T5/PEc+rvU7VI7pT0Y1ZhYPQcEhQ9ePAAc+bMYWBERNq7FgSsHQFcD9If5y4KNPtG30WbdSNm7cK9C2r12t6be9Wxdw5vfFz9YzQr2ow1Qdksra/fpttxzIgaNGgAd3d3rYdBRKRXqDrQayPQdgbgXgC4dxlY9A4wpyUQckzr0VEmFM9dHDOazsDkBpNR0K0gQqJCMOy/Yei1oVfKUn8yLSYXGG3fvh0tW7aEj4+PiqZXrFjxxH1ka45ixYrB2dkZ/v7+CAwM1GSsRERZRjpj+3YC+gcBrwwD7J2BSzuA6fWA1YOBqDCtR0gZJK9ljYs2xorWK/BhlQ/hZOeE/SH70fGfjgjYF4D7sfe1HiKZcmAUFRUFX19fFfw8zaJFizBkyBCMGTMGwcHB6r7NmjVDaGhoyn2qVKmCihUrPnG7ceNGNn4mREQZ4OQGNPoU6BcIlG8DJOmAoFnAlGrAnmlAYrzWI6QMcrZ3Rl/fvljVZhWaFm2KxKRELDi1AC2Xt8TSM0uRqDNe+wFKO5OuMZIoe/ny5WjTpk3KOZkhqlGjBqZOnaqOdTodChcujAEDBmDkyJHpqjOSx3hRjVFsbKy6pc5RyvOxxoiIssWlXcC6EUDIUf2xZyngtQCgVFOtR0aZJHVH3+37Dufv67eOkU1pR/uPhm9eX62HZpEsssYoLi4OBw4cQJMmTVLO2draquM9e/YY5TkDAgLUhTTcJCgiIso2xeoC7/8HtPwRcPUC7pwF5rcH/mwP3GaNijmrVaAWlrRaguE1hsPNwQ0n7pzAO2vewSc7P0HYQ6ZOtWJWgVFYWBgSExORP/+jrdblOCQkJM2PI4FUhw4dsGbNGhQqVOi5QdWoUaNUdGm4Xb16NVOfAxFRusnmpH49gIHBQJ0BgK0DcG4j8EttfTfth3e1HiFlkIOtA7qW74p/2v6DNiX12ZFV51ehxfIWmHN8DuKZOs12ZhUYZZVNmzbh9u3biI6OxrVr11C7du1n3tfJyUlNuc2bNw+1atVSvY+IiDThnAt4dSzQbx9QujmgSwD2TtPXH+3/HWCNitnycvHC13W/xoLXF6CiZ0VExUdhQtAEtPunHXZf36318KyKWQVGXl5esLOzw61btx45L8fe3sbtFtuvXz+cOHEC+/fvN+rzEBG9kGcJ4O2/gHf+BvKWBR6GA/8OAX6tB1z4T+vRUSZUylsJ89+Yj6/qfAUPZw9cvH8RH2z6AB9t+QjXHlzTenhWwawCI0dHR/j5+WHz5s0p56T4Wo6fN+uTFWSVXPny5VXhNxGRSSjZGOizE2g+DnDODYQeB+a2Av7qAoRf1Hp0lEG2NrZoW6qtSq+9U+4d2NnYYcvVLWi9ojWmHpyKhwkPtR6iRTO5VWmRkZE4d+6certq1aqYOHEiGjZsCA8PDxQpUkQt1+/evTumT5+OmjVrYvLkyVi8eDFOnTr1RO2RMbDzNRGZpOhwYFuAPqWWlAjYOQK1+wP1hgBObGhrzs7fO6+6Z++7uU8dF8hRAEOrD1VL/tk92wq2BJFl9BIIPU6CodmzZ6u3ZZn9+PHjVcG19CyaMmWKWsZv7BkjuUnx95kzZxgYEZFpCj2pL8i+sFV/7JYfaDwG8O2sbyJJZkleqjdd2YTx+8fjZtRNdc7f2x8ja45EyTwltR6eWTDbwMjUccaIiEye/Fo/vRbY8AkQfkF/zqcq8Nr3QBHj/hFJxiVptD+O/YFZx2YhNjFWpdk6l+2MvlX6IqcjX5Oeh4GRkTAwIiKzkRAL7PsV+G88EPdAf65SB6DJF0CuQlqPjjLheuR1NXu0+Yq+5lYKtT+q9pFa8i81SvQkBkZZjKk0IjJbkaHA5q+Ag3/KdBJg7wK8PFjfE8nRVevRUSbsvrEb3wV+p1avCVnqP8p/FCrnraz10EwOAyMj4YwREZmtG4eAdSOBK8lNbXMWApp+CVRsJ3swaT06yqB4XTwWnFyAXw7/ovofidYlWmOQ3yDVH4n0GBgZCQMjIjJr8iv/+HJg4+fA/eRO/oVrAc2/09chkdmSbUQmH5iMledXqmPZZkQ2re1crrPqsG3tIhgYGQcDIyKyCPEPgd0/ATsnAfHR8nIAVO0CNPoccDd+6xMynsO3DyNgXwCO3zmujovnKq5Wr9X2MW6/P1PHwCiLscaIiCzS/evApi+Ao4v1x47uwCtDgVp9AXsnrUdHGaRL0mHFuRX4MfhHhMeEq3NNijTB0BpDUdCtIKxRBAMj4+CMERFZpKuBwNoRwI1g/XGel/T7spV9g/VHZiwiLgLTDk3DX6f+QmJSIpzsnNCrYi/0rNgTzvbOsCYRDIyMg4EREVksnQ44skg/gxQZoj/3Un3gte+A/OW1Hh1lwtm7Z9XqtcCQQHXsk8MHw2oMQ+Mija2me3YEAyPjYGBERBYvNhLYORHYPRVIjAWkL071d4EGo4EcnlqPjjJIXu43XN6ACUETEBKlD3xrFail6o9K5C4BSxfBwChrscaIiKzO3UvAhs+Ak6v0x8659MFRjV6AHVc5mavo+GjVOVs6aMfp4mBvY69WrskKNnepMbNQDIyMhDNGRGR1Lu7Q9z+6dUx/7FUGaPYtUKqJ1iOjTLj64Krqnr316taU7tmDqg1C65KtLbJ7NgMjI2FgRERWSZcIBM8FtnwNRN/Rnyv9mr7+yOMlrUdHmbDr+i5Vf3Qp4pI6ruxVWXXPruhVEZaEgZGRMDAiIqv28B6wfbx+DzZdAmDnBLw8SL/FiIOL1qOjDIpPjMf8k/NV9+zoBOlrBbQt2Vbtv+bpYhl1ZQyMjISBERERgNtngLXDgAvb9Me5iwDNAri838zdjr6NycGTseq8vq7M3cEdH1b5EJ3KdjL77tkMjIyEgRERUTJ5+TixElj/CRBxTX+uZBOg+TjA0/JXOVmyQ6GH8O2+b3Ey/KQ6Lpm7pFq95l/AH+aKgVEW46o0IqJniIsCtk/QbzGiiwfsHIE6A4B6HwOOObQeHWVQoi4Ry88tV92z78XeU+eaFm2KYdWHoYBbAZgbBkZGwhkjIqJnCDsHrBsBnNukP85ZCHjtW6BcK6bXzNj92Pv4+dDPWHR6kdpqxNnOGe9Wehc9K5hX92wGRkbCwIiI6DnkJeXUv8C6UcD9K/pzxRvq02t5S2s9OsqE0+Gn1eq1oFtB6lj2XJPu2Y0KNzKL7tkMjIyEgRERURrERQM7JwG7ftR3z5bC3dofAq8MB5zctB4dZVBSUhLWX1qvumffir6lztXxqYMRNUegeK7iMGUMjIyEgRERUTqEXwDWjgTOrtcfu/sAzcYCFd5kes3Mu2fPPDoTs4/PRrwuXnXP7lKuC/r49oGbo2kGvgyMjISBERFRBpxep68/km1GRLF6wOvjgXzltB4ZZcLViKsYt38ctl3Tt23wdPbEYL/BaFmipcl1z2ZgZCQMjIiIMig+Rp9akw1qE2IAW3vAvw9QfwTgzN+n5mzHtR0qQErpnp23Mkb7j0YFzwowFQyMshiX6xMRZRGZNZLeR6dW64/d8gOvjgUqdWB6zcy7Z887OQ/TD09X3bNtYIM3S72JgdUGqn3YtMbAyEg4Y0RElEXObtJ3z5Y6JFG0rj69lt90Zhko/UKjQzHpwCSsvqAPfN0d3dGvSj90KtMJ9jJLqBEGRkbCwIiIKAslxOobQ0qDyISHgI0dULM30GAU4JJb69FRJhwMPai6Z58KP5XSPVvSazW8a0ALDIyMhIEREZER3LsKbPhEv8WIyJEXaPoVUPktwNa0ingpfd2zl51dhikHp6hGkaJZsWYYWn0ovHN4IzsxMDISBkZEREZ0fguwZjhw56z+uLC/Pr1WwFfrkVEmSFD008GfsOTMkpTu2e9Veg89KvaAk50TsgMDIyNhYEREZGQJccDeacB/44D4KECWfVd/F2j0KeCSR+vRUSa7Z0t6LTg0OKV79vAaw9GwcEOjd89mYGQkDIyIiLLJ/evAhk+B43/rj109gSZfAFXeYXrNjCUlJWHtxbX44cAPqlBb1PWpq7pnv5TrJaM9LwMjI2FgRESUzS5uB9YMA27ri3hR0A94fQJQsJrWI6NMds/+7ehvmHN8jr57tq09upbrig98P0AOhxzQ6vXb6kLuq1evokGDBihfvjwqV66MJUuWaD0kIiJ6npdeAfrsBF79BnB0B64fAH5rBPwzCIgO13p0lEGuDq74qNpHWNF6BeoXqo8EXQL+OP4HWixvgeNhx6EVq5sxunnzJm7duoUqVaogJCQEfn5+qmFjjhxpi045Y0REpKEHIcDGz4Eji/THUnPU+HOgWnfA1k7r0VEmbL+2Hd8Hfo+HCQ/xT9t/snzWiKm0NPL19cXq1atRuHDhNN2fgRERkQm4vBv4dygQmjyzUKAK8MYPQKHqWo+MMiEuMQ6XIy6jVJ5SyGpmm0rbvn07WrZsCR8fH1WhvmLFiifuI1tzFCtWDM7OzvD390dgYGCGnuvAgQNqi4+0BkVERGQiitYBPtgOvPY94JQTuHkImNkYWNkPiArTenSUQY52jkYJitLD5AKjqKgoNYsjwc/TLFq0CEOGDMGYMWMQHBys7tusWTOEhuor24WkySpWrPjE7caNGyn3CQ8PR7du3TBjxoxs+byIiCiL2dkDtfoAAw4Avm/rzx38E/ipGhD4G6BL1HqEZIZMOpUmM0bLly9HmzZtUs7JDFGNGjUwdepUdazT6dSMz4ABAzBy5Mg0PW5sbCyaNm2K3r17o2vXri+8r9xST8XJ8zGVRkRkYq7sA9Z8DIQc1R97V9KvXitSS+uRkQkw21Ta88TFxan0V5MmTVLO2draquM9e/ak6TEkDuzRowcaNWr0wqBIBAQEqAtpuDHtRkRkoor4A+//pw+GnHPpA6RZzYDlfYDI/2cViJ7HrAKjsLAwVROUP3/+R87LsawwS4tdu3apdJzULknKTW5Hjyb/dfEUo0aNUtGl4SbL/YmIyETZJm9COyAYqJr8x+/hhcBPfsDeX4DEBK1HSCbOHlbm5ZdfVum3tHJyclI3qXmSmwRmRERk4nJ4Aa2nAn499em1GweBdSOB4Hn6vdeK1dV6hGSizGrGyMvLC3Z2dqoPUWpy7O1t3F16+/XrhxMnTmD//v1GfR4iIspChfyA9zYDLSbrex7J8v7ZrwPLegMRN7UeHZkgswqMHB0dVUPGzZs3p5yT2R85rl27tlGfW2aLpFu2FH4TEZGZpdeq99Sn12QzWtgARxcDU6sDu38CEuO1HiGZEJNblRYZGYlz586pt6tWrYqJEyeiYcOG8PDwQJEiRVR9UPfu3TF9+nTUrFkTkydPxuLFi3Hq1Kknao+MgQ0eiYjM3PVg/d5r14P0x3nL6tNrsvUIWSyz7Xy9bds2FQg9ToKh2bNnq7dlqf748eNVwbUUT0+ZMkUt488ODIyIiCyA1Joemg9sGgNE39Gfq9BWvx9broJaj46MwGwDI1OVuvha9lZjYEREZAEe3gW2fAME/Q4k6QDZn6v+MKBWP8DeUevRURZiYGQknDEiIrJAN48Aa4YCV/fpjz1LAa+PA0o00npklEUsssEjERGRURSoDLy7HmjzK5AjH3DnLDCvLbCoK3CP/eusCQOjNOKqNCIiC2djA1TpDAwIAvz7AjZ2wMlVwNQawPbxQML/t4ciy8VUWjoxlUZEZCVuHdevXru8S3/sURxoPg4o1VTrkVEGMJVGRESUGfkrAD3+Bd6cCbh5A+EXgPntgYVvA3cvaT06MhIGRmnEVBoRkZWm1yp3APrvB2r3B2ztgdP/Aj/7A9u+A+Ifaj1CymJMpaUTU2lERFYs9JR+9dqlHfrj3EWB5t8DZZprPTJ6AabSiIiIslq+skD3f4D2fwDuPsC9y8DCt4D5HfWpNjJ7DIyIiIjSm16r+KY+vVZ3EGDrAJxdD/xcS98sMi5a6xFSJjAwSiPWGBER0SOc3ICmXwIf7gGKNwQSY4Ht4/T1Ryf/AVipYpZYY5ROrDEiIqInyEupBEPrRwP3kxtClmisX97vVVLr0RFYY0RERJS96bXyrYB+gUC9oYCdI3B+MzCtFrDpCyAuSusRUhoxMCIiIsoqjq5A48+AD/cCJZsCunhg5yR99+xjy5heMwMMjIiIiLKaZwmgyxLgrYVA7iJAxHVg6bvAnJbArRNaj46eg4ERERGRsdJrZV/Xp9cajAbsnfX9j359GVg7Anh4T+sR0lMwMEojrkojIqIMcXABGozQB0jlWgJJicC+X4Gf/IDgeYBOp/UIKRWuSksnrkojIqJMOb8VWDscCDujPy7oBzQfDxTy03pkFo2r0oiIiExRiYZAn13Aq2MBR3fg+gFgZiNgZX8g8rbWo7N6DIyIiIiym70jUGcAMCAI8O2sP3dwnj69tvdXIDFB6xFaLQZGREREWnH3Btr+Cry7AfCuDMTeB9aNAKbXAy4mb1RL2YqBERERkdaK+APvbwNaTAJc8gChJ4A5LYAlPYH717UenVVhYERERGQKbO2A6u8CA4KBGu8BNrbA8b+BqdWB7ROAhFitR2gVGBgRERGZElcP4I0fgPf/A4rUBuKjgS1f6zenPbNe69FZPAZGacQ+RkRElK0KVAZ6rgXe/A1w8wbuXgQWdATmdwTunNd6dBaLfYzSiX2MiIgo28U+AP4bB+z9Rb//mmxSW7s/8MpQwDGH1qMzC+xjREREZCmc3IFXvwY+3AOUaAQkxgE7J3JzWiNgYERERGQuvEoB7/wNdJr/lM1pj2s9OovAwIiIiMjcNqct1+Ipm9PW4+a0WYCBERERkTlvTtt/P1Cu1WOb087l5rQZxMCIiIjInElKrdM8oOsKwKsMEB0GrBoAzGwMXDug9ejMjtUFRvfu3UP16tVRpUoVVKxYEb/99pvWQyIiIsqazWn7yua03+g3p70RnLw5bT9uTpsOVrdcPzExEbGxsXB1dUVUVJQKjoKCguDp6Zmmj+dyfSIiMnkPbgGbxgCHF+qPnXIBDUcBNXoDdvawRhFcrv90dnZ2KigSEiBJXGhlsSEREVk69/z/35y2gG/y5rQjuTltGphcYLR9+3a0bNkSPj4+sLGxwYoVK57ahbpYsWJwdnaGv78/AgMD051O8/X1RaFChTBs2DB4eXll4WdARERkQpvT9t6avDmtR6rNaXsA969pPTqTZHKBkaS3JGiR4OdpFi1ahCFDhmDMmDEIDg5W923WrBlCQ0NT7mOoH3r8duPGDfX+3Llz4/Dhw7h48SIWLFiAW7duZdvnR0REpM3mtAdSbU67XN8ccvt4ID5G6xGaFJOuMZIZo+XLl6NNmzYp52SGSPYrmzp1qjrW6XQoXLgwBgwYgJEjR6b7OT788EM0atQI7du3f+r7Jd0mt9Q5Snk+1hgREZFZunkEWDscuLJHf5znJeC174Ayr8GSWWSNUVxcHA4cOIAmTZqknLO1tVXHe/Ykf4FfQGaHHjx4oN6WiyOpuzJlyjzz/gEBAepCGm4SFBEREVnU5rQLOwHzO3BzWnMLjMLCwtSqsvz58z9yXo5DQkLS9BiXL19GvXr1VApO/pWZpkqVKj3z/qNGjVIBlOF29erVTH8eREREmnfPrtwRGBAE1P0IsHUAzm4AptUCNn0JxEXBWlndmr2aNWvi0KFDab6/k5OTuknNk9wkMCMiIrKYzWmbfgVU7arfTuT8Zv3mtIf/0m9aW7GdPoiyImY1YySrx2S5/ePF0nLs7e1t1Ofu168fTpw4gf379xv1eYiIiLTZnHYZ8NYCIHdR4MENYFkvYHYLq9uc1qwCI0dHR/j5+WHz5s0p56T4Wo5r165t1OeW2aLy5curwm8iIiKLIzNDZd8A+u37/+a0l3fqN6ddM9xqNqc1uVVpkZGROHfunHq7atWqmDhxIho2bAgPDw8UKVJELdfv3r07pk+frtJikydPxuLFi3Hq1Kknao+MgZ2viYjIKty7Aqz/BDi5Sn/s6gk0HqNPu9ma1bxKul6/TS4w2rZtmwqEHifB0OzZs9XbslR//PjxquBaehZNmTJFLePPDgyMiIjIqpzfqq8/CjutP/apBrw+ASjkB3NitoGRqUpdfH3mzBkGRkREZD0S44F904Ft3wFx+pY3qPoO0PgLwC0vzAEDIyPhjBEREVn35rRfAIcXPLY57XuAnQNMmUU2eCQiIiKtN6f9Bei18dHNaaVA++J2WAIGRmnEVWlERETJCtdM3px2sn5z2tsngTktLWJzWqbS0ompNCIiolSiw4Gt3wBBs4AkHeDgCtQbAtQeADg4w1QwlUZERETG5+oBvPED8MF2oEhtID4a2DJWv73I6XUwNwyM0oipNCIioufwrpS8Oe1Ms96clqm0dGIqjYiI6AViHwDbxwN7pgG6eMDOEajdH6j3MeDkBi0wlUZERETabk774R6gZBMgMU6/Oe3UGsDRpYAJz8kwMCIiIiLjbU7bZSnw1sInN6cNOQZTxMCIiIiIjLw57ev6zWkbfvL/zWmnGzanvQtTwsAojVh8TURElAkOLkD94UD//UC5Vvql/YHTgZ/8gANzAJ0OpoDF1+nE4msiIqIscGGbfsYoZXPaqsmb01aHMbD4moiIiExX8QZA311As28BR3fgxkFgZmNgRT8g8rZmw2JgRERERNqwcwBq9wMGHAB839afO/IXEH1HsyHZa/bMRERERKk3p63eE7hxCMhXFlphYJSO4mu5JSYmaj0UIiIiy92ctnBNTYfA4ut0YvE1ERGR+WHxNREREVE6MTAiIiIiSsbAiIiIiCgZAyMiIiKiZAyMiIiIiJIxMCIiIiJKxsAojbiJLBERkeVjH6N0Yh8jIiIi88M+RkRERETpxMCIiIiIKBkDIyIiIqJkDIyIiIiIktkb3qC0MdSqSxEXERERmQfD6/aL1pwxMEqnBw8eqH8LFy6s9VCIiIgoA6/jsjrtWbhcP510Oh1u3LgBd3d32NjYpJyX/kb79+9/5L5pOWc4lkhWgq2rV68apQ3A08aSFR/zovs86/3puTaWcq1edD9eK22vlTDm9eK1Mu61SuvHGetaPX4uu67V88ZtLtcqu35nSbgjQZGPjw9sbZ9dScQZo3SSi1moUKEnztvZ2T3xRUzLuceP5W1j/OA8bSxZ8TEvus+z3p+Ra2Pu1+pF9+O1Mo1rZazrxWtl3GuV1o8z1rV6/Fx2XavnjdtcrlV2/s563kyRAYuvs0i/fv0ydO5p9zGGjDxPWj7mRfd51vszcm3M/Vq96H68Vmm/H69V2u9nLdcqrR9nrGv1+LnsulYZfS5TulbZfb1ehKk0E8GO2mnHa5V2vFbpw+uVdrxWacdrZV7XijNGJsLJyQljxoxR/9Lz8VqlHa9V+vB6pR2vVdrxWpnXteKMEREREVEyzhgRERERJWNgRERERJSMgRERERFRMgZGRERERMkYGBERERElY2BkJtq2bYs8efKgffv2Wg/FpEkb+QYNGqB8+fKoXLkylixZovWQTNa9e/dQvXp1VKlSBRUrVsRvv/2m9ZBMXnR0NIoWLYqhQ4dqPRSTVqxYMfXzJ99bDRs21Ho4Ju3ixYvqGsnvrEqVKiEqKkrrIZmk06dPq+8nw83FxQUrVqwwynNxub6Z2LZtm9rjZc6cOVi6dKnWwzFZN2/exK1bt9QPTkhICPz8/HDmzBnkyJFD66GZnMTERMTGxsLV1VX9MpbgKCgoCJ6enloPzWR98sknOHfunNrLacKECVoPx6QDo2PHjsHNzU3roZi8+vXrY+zYsahXrx7Cw8NVU0N7e+7W9TyRkZHqe+zy5ctG+d3OGSMzIbMgsnEtPV+BAgVUUCS8vb3h5eWlftnQk2RvIgmKhARI8jcS/056trNnz+LUqVNo3ry51kMhC3H8+HE4ODiooEh4eHgwKEqDVatWoXHjxkb7g5eBUTbYvn07WrZsqXb0tbGxeer0388//6wiYGdnZ/j7+yMwMBDWKCuv1YEDB9SsiPx1b4my4lpJOs3X11dtjDxs2DAVSFqirLhWkj4LCAiApcuKayUfJzMhsmP6/PnzYakye60k2JZZNXmMatWq4dtvv4Wl2p6Fv9sXL16MTp06GW2sDIyygaQp5MVHvuhPs2jRIgwZMkS1QQ8ODlb3bdasGUJDQ2FtsupaySxRt27dMGPGDFiqrLhWuXPnxuHDh1Wdw4IFC1Qa0hJl9lqtXLkSpUuXVjdLlxXfVzt37lR/mMhf9vJif+TIEViizF6rhIQE7NixA9OmTcOePXuwceNGdbNEUVn0u132Utu9ezdef/114w1Waowo+8glX758+SPnatasmdSvX7+U48TExCQfH5+kgICAR+63devWpHbt2iVZi4xeq5iYmKR69eolzZ07N8laZOb7yqBv375JS5YsSbJ0GblWI0eOTCpUqFBS0aJFkzw9PZNy5syZ9OWXXyZZuqz4vho6dGjSH3/8kWTpMnKtdu/enfTqq6+mvH/cuHHqZumQie8r+b3epUsXo46PM0Yai4uLU39ZNWnSJOWcra2tOpa/ICh910p+5nr06IFGjRqha9eusFZpuVYyOyQF/UJ2spap7jJlysDapOVaSQpNVjxeunRJFV337t0bn3/+OaxNWq6VzAwYvq+kSHbLli2oUKECrE1arpWkGmVG5O7du9DpdOpnsFy5crA2cel4HTR2Gk09t1EfnV4oLCxM1cHkz5//kfNyLKuqDOQbpEOHDlizZo2qB7HGoCkt12rXrl1qSlby14ZlnUePHoW1Scu1khUdUvQpU9by74ABA9RyYWuT1p9BStu1koD75ZdfVt9XtWrVUiltCQCsTVqulRRaS6rxlVdeUe0NSpUqhRYtWsDahKXxZ1D+gJO6I0mxGRPL383Epk2btB6CWZBfyPKXF71YzZo1cejQIa2HYXZkRpKerXjx4qpujdJGVjlypWPa5MqVK1vqIDljpDFZBSTLph//YsuxLDen/+O1Sjteq7TjtUo7Xqu047Uy32vFwEhjjo6Oqgnh5s2bU87JjIcc165dW9OxmRpeq7TjtUo7Xqu047VKO14r871WTKVlAylAlG65BrI0WlIY0syrSJEiaoli9+7d1fYMkt6YPHmyKmDs2bMnrA2vVdrxWqUdr1Xa8VqlHa+VhV4ro655o5Rl9nKpH79179495T4//fRTUpEiRZIcHR3VssW9e/cmWSNeq7TjtUo7Xqu047VKO14ry7xW3CuNiIiIKBlrjIiIiIiSMTAiIiIiSsbAiIiIiCgZAyMiIiKiZAyMiIiIiJIxMCIiIiJKxsCIiIiIKBkDIyIiIqJkDIyIiIzgiy++QJUqVbQeBhGlEwMjIjIZt2/fVhtKyh5J8fHxyJEjB65cuaL1sIjIijAwIiKTsWfPHvj6+qqAKDg4OGWDSSKi7MLAiIhMxu7du1G3bl319s6dO1Pefp5t27ap3bglmMqdO7f6mMuXL6v3nT9/Hq1bt0b+/Pnh5uaGGjVqYNOmTY98fLFixTB27Fh069ZN3ado0aJYtWqVmr2Sj5VzlStXRlBQUMrHzJ49Wz3XihUrUKpUKTg7O6NZs2a4evXqc8c6c+ZMlCtXTt2/bNmymDZtWsr74uLi0L9/fxQoUEC9X8YREBCQ7mtIRJnDwIiINCWpMgky5DZx4kRMnz5dvT169GgVeMjbH3744VM/NiEhAW3atEH9+vVx5MgRNeP0/vvvw8bGRr0/MjISr7/+OjZv3oyDBw/itddeQ8uWLZ9Iz02aNEkFVHKfN954A127dlWB0jvvvKNmrkqUKKGOU++5HR0djW+++QZz587Frl27cO/ePbz11lvP/Dznz5+Pzz//XH3MyZMn8e233+Kzzz7DnDlz1PunTJmiArLFixfj9OnT6v4StBFRNksiItJQfHx80sWLF5MOHz6c5ODgoP49d+5ckpubW9J///2n3nf79u2nfuydO3ckUknatm1bmp+vQoUKST/99FPKcdGiRZPeeeedlOObN2+qx/zss89Szu3Zs0edk/eJP/74Qx3v3bs35T4nT55U5/bt26eOx4wZk+Tr65vy/hIlSiQtWLDgkbF8/fXXSbVr11ZvDxgwIKlRo0ZJOp0uzZ8LEWU9zhgRkabs7e3VzMipU6dUqkvSViEhISr99corr6j3eXl5PfVjpQapR48eKo0lM0E//vgjbt68mfJ+mTEaOnSoSl/JzJOkxWS25vEZI3lOA3leUalSpSfOhYaGPjJuGa+BpMbkOeTxHyfF5JLW69WrlxqD4SYpPDkv5PM4dOgQypQpg4EDB2LDhg0Zup5ElDn2mfx4IqJMqVChgqoJklVoOp1OBQySIpOboebn+PHjz/z4P/74QwUS69atw6JFi/Dpp59i48aNqFWrlgqK5O0JEyagZMmScHFxQfv27VU9T2oODg4pbxvScE87J+PLCAnQxG+//QZ/f/9H3mdnZ6f+rVatGi5evIi1a9eqOqiOHTuiSZMmWLp0aYaek4gyhoEREWlqzZo1Kihq3Lgxxo0bBz8/P1WrIzMoUhOUOkB5lqpVq6rbqFGjULt2bSxYsEAFRlL7I4/Ttm3blADl0qVLWTJuCdykIFsKv4XUBUmdkcxOPU5mnHx8fHDhwgV06dLlmY+ZM2dOdOrUSd0kgJPPPzw8XM2MEVH2YGBERJqSGSFJnd26dUutApPZGZkhateunVqh9TwywzJjxgy0atVKBR4SnJw9e1YVSgtZMfb333+rNJs8rhQ7Z3TW53ESsA0YMEAVTUtaTVaUSTBmCJQe9+WXX6qZrVy5cqmAJzY2VgVWd+/exZAhQ1ThuXy+EuDZ2tpiyZIl8Pb2Vuk5Iso+DIyISHOy5F7qdWSZ+o4dO1CoUKEXBkXC1dVV1SbJyq47d+6oj+nXrx8++OAD9X4JNt59913UqVNH1SmNGDECERERWTJmeW55vLfffhvXr19HvXr18Pvvvz/z/u+99576mPHjx2PYsGGqvYDUMQ0aNEi9393dXc2YSWAn6TW5HjKbJkESEWUfG6nAzsbnIyIye9LHSAIaSZ0RkWXhnyJEREREyRgYERERESVjKo2IiIgoGWeMiIiIiJIxMCIiIiJKxsCIiIiIKBkDIyIiIqJkDIyIiIiIkjEwIiIiIkrGwIiIiIgoGQMjIiIiomQMjIiIiIig9z/5dwhbx1JA9QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# For few samples, you are dominated by triangulation cost\n", "# and then for more samples, the cost is dominated by the sampling\n", "# itself. The more refined the polygon, the slower the triangulation\n", "\n", "reg = teqpflsh.QuadRegion2D(x=X,y=Y)\n", "Deltimes, tritimes, exponents, times = [],[],[],[]\n", "for exponent in range(1, 8):\n", " N = 10**exponent \n", " x, y = np.zeros(N,), np.zeros(N)\n", " \n", " tic = timeit.default_timer()\n", " reg.do_fast_triangulation()\n", " toc = timeit.default_timer()\n", " tritimes.append((toc-tic)*1e6/N)\n", "\n", " tic = timeit.default_timer()\n", " reg.do_Delaunay_triangulation()\n", " toc = timeit.default_timer()\n", " Deltimes.append((toc-tic)*1e6/N)\n", " \n", " tic = timeit.default_timer()\n", " reg.sample_random(len(x), x, y)\n", " toc = timeit.default_timer()\n", " times.append((toc-tic)*1e6/N)\n", " print(exponent, times[-1])\n", " exponents.append(exponent)\n", "\n", "plt.plot(10**np.array(exponents), times, label='total time')\n", "plt.plot(10**np.array(exponents), tritimes, label='fast triangulation')\n", "plt.plot(10**np.array(exponents), Deltimes, label='Delaunay triangulation')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.gca().set(xlabel=r'# samples', ylabel=r'$\\mu$s/sample')\n", "plt.legend()\n", "plt.show()\n", "del reg" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }