{ "cells": [ { "cell_type": "markdown", "id": "6f321cb1-0762-4411-a3f2-da2f39267f75", "metadata": {}, "source": [ "# Exploration of Volterra ODE system\n", "\n", "(by Sean Cowan)\n", "\n", "This notebook explores the Volterra system of ODEs, defined as:\n", "\n", "$$\n", "\\begin{array}{l}\n", "\\frac{d x_1}{d t} &= 2 x_1\\left(1-x_2\\right) \\\\\n", "\\frac{d x_2}{d t} &= -x_2\\left(1-x_1\\right)\n", "\\end{array}\n", "$$\n", "\n", "where $x_{01} \\in 1+[-0.05,0.05], \\quad x_{02} \\in 3+[-0.05,0.05] \\quad$ at $t=0$. It is shown that the implementation of Taylor models can predict the reachable set of states given an initial perturbation within the specified domain well. This is verified against figures in Makino (2003) as well as a Monte Carlo simulation.\n", "\n", "[1] Berz, Martin, and Kyoko Makino. \"Suppression of the wrapping effect by Taylor model-based verified integrators: Long-term stabilization by shrink wrapping.\" Int. J. Diff. Eq. Appl 10 (2005): 385-403.\n" ] }, { "cell_type": "markdown", "id": "807adbfc-6c8f-45ec-b863-4b2dc1ce3703", "metadata": {}, "source": [ "## Importing stuff" ] }, { "cell_type": "code", "execution_count": 1, "id": "5b0539ef-87be-4aaa-8f1b-e81e8cc417f5", "metadata": {}, "outputs": [], "source": [ "import copy\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import matplotlib.colors as col\n", "from scipy.integrate import solve_ivp\n", "\n", "from pyaudi import gdual_double as gdual, taylor_model, int_d\n", "from plotting_functions import plot_n_to_2_solution_enclosure, sample_on_square_boundary" ] }, { "cell_type": "markdown", "id": "f45ad60f-0f59-4720-a958-fd8f6616d8d4", "metadata": {}, "source": [ "## Integration function" ] }, { "cell_type": "code", "execution_count": 2, "id": "11dadbae-113e-40b8-9438-98ca7cb55c9d", "metadata": {}, "outputs": [], "source": [ "def rk4_t(f, t0, y0, th):\n", " t = th\n", " timesteps = [(th[i + 1] - th[i]).item() for i in range(len(th) - 1)]\n", " y = np.array([[type(y0[0])] * np.size(y0)] * (len(t)))\n", " y[0] = y0\n", " for n in range(len(t) - 1):\n", " # start_time = time.time()\n", " h = timesteps[n]\n", " xi1 = y[n]\n", " f1 = f(t[n], xi1)\n", " xi2 = y[n] + (h / 2.0) * f1\n", " f2 = f(t[n + 1], xi2)\n", " xi3 = y[n] + (h / 2.0) * f2\n", " f3 = f(t[n + 1], xi3)\n", " xi4 = y[n] + h * f3\n", " f4 = f(t[n + 1], xi4)\n", " y[n + 1] = y[n] + (h / 6.0) * (f1 + 2 * f2 + 2 * f3 + f4)\n", " return y" ] }, { "cell_type": "markdown", "id": "7f65b35c-ed97-4543-841f-f3ab26b99071", "metadata": {}, "source": [ "## Problem definition\n", "\n", "Here, we define the system of ODEs and give initial conditions. Furthermore, a domain size is defined that indicates the validity domain of the Taylor model, indicating what initial uncertainty can be given." ] }, { "cell_type": "code", "execution_count": 3, "id": "59c218ea-599f-480a-9b4c-c80671ff077e", "metadata": {}, "outputs": [], "source": [ "def eom_volterra(t, y):\n", " return np.array([2 * y[0] * (1 - y[1]), -1 * y[1] * (1 - y[0])])\n", "\n", "# The initial conditions\n", "ic = [1, 3]\n", "initial_time = 0.0\n", "final_time = 5.488138468035\n", "domain_size = 0.05" ] }, { "cell_type": "markdown", "id": "1ca3236d-da19-4d69-b1a9-1b44dbc2e49f", "metadata": {}, "source": [ "## Numerical propagation\n", "\n", "We create a high tolerance numerical solution for visualization purposes" ] }, { "cell_type": "code", "execution_count": 4, "id": "cfdbb095-d853-459b-b12e-59d815e6e072", "metadata": {}, "outputs": [], "source": [ "y_num_viz = solve_ivp(\n", " eom_volterra, (initial_time, final_time), ic, method=\"RK45\", rtol=1e-13, atol=1e-13\n", ")" ] }, { "cell_type": "markdown", "id": "bba55ad6-e363-4edd-aba9-c68f45a5cd4c", "metadata": {}, "source": [ "## Taylor model propagation" ] }, { "cell_type": "markdown", "id": "4441df29-6b5e-4758-a97f-34d7fd829d20", "metadata": {}, "source": [ "### Verification against Makino (2003)\n", "\n", "Here, we take a small, fixed step-size and compare some of the solution enclosures against those in Makino (2003). First, we propagate the Taylor models with a given order and time history with $\\Delta t = 0.01$." ] }, { "cell_type": "code", "execution_count": 5, "id": "2e5b9560-bbd7-4617-acbe-845d21229c05", "metadata": {}, "outputs": [], "source": [ "order = 18\n", "time_history = np.linspace(0.0, 5.45, 546)\n", "colors = sns.color_palette(\"Blues\", as_cmap=True)\n", "\n", "symbols = [\"x1\", \"x2\"]\n", "ic_g = [gdual(ic[0], symbols[0], order), gdual(ic[1], symbols[1], order)]\n", "ic_tm = [\n", " taylor_model(\n", " ic_g[i],\n", " int_d(0.0, 0.0),\n", " {symbols[i]: ic[i]},\n", " {symbols[i]: int_d(ic[i] - domain_size / 2, ic[i] + domain_size / 2)},\n", " )\n", " for i in range(2)\n", "]\n", "\n", "# We call the numerical integrator, this time it will compute on Taylor models\n", "y_tm = rk4_t(eom_volterra, initial_time, ic_tm, time_history)" ] }, { "cell_type": "markdown", "id": "f62bbd14-7ea2-45df-8e59-625b20a567e0", "metadata": {}, "source": [ "Now we plot the solution enclosure for a number of specified indices (and therefore timesteps)." ] }, { "cell_type": "code", "execution_count": 6, "id": "b3491808-da0e-49e5-a719-efcb4c8f1890", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "indices_to_evaluate = [233, 394, 458, 471, 485, 495, 506, 545]\n", "\n", "fig = plt.figure(figsize=(8, 16))\n", "\n", "domain_per_index = {233: ([0.1, 0.14], [0.42, 0.44]), 394: ([1.2, 1.5], [0.17, 0.2]), 458: ([3.2, 3.6], [0.3, 0.5]), 471: ([3.75, 4.05], [0.45, 0.75]), 485: ([4.14, 4.28], [0.7, 1.1]), 495: ([3.9, 4.4], [1, 1.5]), 506: ([3.2, 4.2], [1.4, 2]), 545: ([0.9, 1.5], [2.94, 3.04])}\n", "\n", "rgb_color = col.rgb2hex(colors(400))\n", "rem_bounds = []\n", "\n", "y_num = rk4_t(eom_volterra, initial_time, ic, time_history)\n", "\n", "for it, index in enumerate(indices_to_evaluate):\n", " ax = fig.add_subplot(4,2,it+1)\n", " ax.set_title(f'{index}')\n", " \n", " for it2, y_step in enumerate(y_tm):\n", " \n", " if it2 == index:\n", " x1_tm = y_step[0]\n", " x2_tm = y_step[1]\n", " rem_bounds.append((x1_tm.rem_bound, x2_tm.rem_bound))\n", " \n", " ax = plot_n_to_2_solution_enclosure(x1_tm, x2_tm, ax=ax, color=rgb_color, resolution=1000)\n", " \n", " ax.plot(y_num_viz.y[0], y_num_viz.y[1], c=\"k\")\n", " \n", " xlim = domain_per_index[index][0]\n", " ylim = domain_per_index[index][1]\n", " custom_limit = None\n", " buffer = 0.1\n", " if custom_limit is not None:\n", " xlim = [y_num[custom_limit, 0] - buffer, y_num[custom_limit, 0] + buffer]\n", " ylim = [y_num[custom_limit, 1] - buffer, y_num[custom_limit, 1] + buffer]\n", " \n", " ax.set_xlim(xlim)\n", " ax.set_ylim(ylim)" ] }, { "cell_type": "markdown", "id": "dd33005b-3027-454d-8518-e8cd4167e5ee", "metadata": {}, "source": [ "Finally, we also add a Monte Carlo to verify independently of Makino (2003) that out Taylor model enclosure is valid.\n", "\n", "NOTE: Since we are using a numerical integrator, of which the integration error is not bounded, At very high precisions the Monte Carlo samples may fall outside the remainder bound in certain cases." ] }, { "cell_type": "code", "execution_count": 7, "id": "a55f864b-ca1a-4ac4-b0c4-0eb83d04abe7", "metadata": {}, "outputs": [], "source": [ "order = 5 # This order is chosen to visualize the verification better\n", "\n", "symbols = [\"x1\", \"x2\"]\n", "ic_g = [gdual(ic[0], symbols[0], order), gdual(ic[1], symbols[1], order)]\n", "ic_tm = [\n", " taylor_model(\n", " ic_g[i],\n", " int_d(0.0, 0.0),\n", " {symbols[i]: ic[i]},\n", " {symbols[i]: int_d(ic[i] - domain_size / 2, ic[i] + domain_size / 2)},\n", " )\n", " for i in range(2)\n", "]\n", "\n", "# We call the numerical integrator, this time it will compute on Taylor models\n", "y_tm = rk4_t(eom_volterra, initial_time, ic_tm, time_history)" ] }, { "cell_type": "code", "execution_count": 8, "id": "6108c8f0-1f7f-4048-923d-cba983a942ec", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "It 1000/1000" ] }, { "data": { "image/png": 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Z4/7+lMeLW/cV8NNVN3CwTXvKIqJOzO5sABZszgpC7FaaN4mkp6WE6NdnaWFTEZFaUCd9cgIDA0lKSmLRokVVQs6iRYu48cYbz9g/MjKS9evXV9k2Y8YMvvrqKz744IPzhhTDMKp0GjYMg4ceeoiPPvqIpUuXVjvgmMFSXsaKATdwZX2bL8fXOBxV+02dMtdPu5kzadcsECY86G69Afjd79jdpDnfj7iX/T16s80awBaXC4bcB7kuLHt2Emq30jg8gJ7No2gaFVr31yQiItV/XJWWlsbo0aNJTk6mb9++zJ49m5ycHFJTUwF3P5jc3FzeeustrFbrGX1mYmJiCA4OrrJ90qRJJCcn07ZtW8rKyvj000956623qozgevDBB3n33Xf5+OOPiYiIqOwDFBUV5bUz5UbmH2LbVYO5Mm+T2aXIxTg1/Jy6+OiqVbQcP56W/zcLLkuEvvHu1qDhw9nvsrI+7Sn2JHRid34p2Uf3Vx5mAYIt0CAvh84dWpHQyXHWx7wiIlIzqh1yhg8fzqFDh5gwYQJ5eXkkJiby6aef4jjRRJ+Xl0dOTk61XrOoqIgHHniA3bt3ExISQseOHZk7dy7Dhw+v3Odk4Dm9j86cOXO48847q3sZdaJfQnP+e8QFEyeaXYrUpLP1+3E4YN48YmbO5Oq+nc54ZFV8vJx1uUfJ3bKTAxHRfHnUxZffZIPLhcVZgR2DyGNHadsilq5hEPCaHn2JiPxaWruqls1atZM/JLfQBHXidmr/H4eD8latWN/3Gn6+5gby49tRHhIKJ38lLRb3yu4H9tJiXQZJgy4lTH27RKQeqrPJAH2ZGSFn9qqdtN65kWv6ddGncjnThx/CQw/BU0/Bzp3u8DN5Mrz/PlvGPcGmxEs4aA+hPDwMwx4IVvdMz5aKcsIMFzE/rKZ7mIXY2f/QiC8R8VsKOR4wI+T86+MMCgNDuPvfr559XheR050+2mv8eNiwwb0W2iefsL9ZKzJvvZ99nbpRGtkAZ3CIO/wYBlaXi0C7nchQOx1jI2nXKEStiCLi87QKuZcasGQBC4bdD19/7X7zUmuOXMjpo71O9v/JzoaICGIKC/nN7vXQMRae+DPceSe88QbFnbrwXWwbcgdcw2FLDF/vOMzXO068htOJzWYjBIjfvI6e/ZMI00zPIuLnFHJqWdPSY2CxUHLoECFa4kF+jbPN8nxy1FdqKqHZ2fSfORMSY6uE6Yr0dLbmHmbTLbdzNKoRP7bpyo97nbDvZ/cOFggtKqRJwyi6tmlCy2jPFrwVEfF2elxV27KzeXXncVrs3s71/dUvR0xw+uOvmTPh888hK4t9jrasvy+NvR27UdKoCc7AEzOEGwZgEFRaQjgu2n7xbzrecAWh6vMjIiZQnxwPmBJygI9W7+RQ8XHuaR2ikCPeISMD7rvP/d8TJsCaNb8MWU9Pp3zBArKG3sbOzj0piG1BeViEe7ZnqxWcTqwuJyGBgTSLDqGLq4Rmb2rIu4jUHoUcD5gVcvY9PZmPBv2O1IWv6nGVeL+TLT9DhsDChdC7N7z4onv01sKF5KxYw483juJgUh+Oh4TjcjndK12c6PwchJMG+3JpvXMTXX57rVZ5F5FfTR2PvVjs3SMh18nhsjIaqvOxeLtTOz6ffDx1su9Py5a0ys+n1c9r4fcD3fueCEWFRUVsCI0lu1c/jkRFsz/5ar7Zb8D+HeByYq+oIDg4mKYNQ0l0FtNUrT8iUsvUklNHZi3fStz3qxm8e71ac8Q/ndoCdOqM0O+/z/Yuvdg0dBQHe/bmeGgkhuEC14k/PYZBYEUZUWGhOIKh26wpBBoGpKcrAIkIoMdVHjEz5CxYvZMDJce5N179cqQeyc52h/rCQoiI+CW4ZGdD376UHD1K5qj72X3ZIApbxVNuC/il7w8G1vJyQjBo/P1aun7yf7TcvR1mz9akhyL1jEKOB8wMOfnF5bz3fS6pH6uJXgT4pfNzWRn06fPLGm9Dh8LPP7Pnqmv5/rLfcLhVAsUNGrknPQQwDCw2G7ay44QXFdIyyk6PzxcQ/oe79Xsl4qfUJ8fLRYUGgMtF/ocfE5Wfr9mPRVJS3DM5n27BApg5k+ZDhtB84UJoFQV/HANFRRAWRvns2Wz4bhs/20PJd7RjgzOUHwfdDrudsGcnGAbBBUdoEGClbWYGHVcsJiB7J0yfrhYgkXpGLTl16LUlG2mStYYbl33k/kMuIhfn5GMwgNtuc48CGzOGww1jWD/zTfY0b01xTFMqQkIxbHb3vD8uFzZnBUFlJcSWl9B5ylPE/XHML52qRcRr6XGVB8wOOf+e/S/2tenEvY+OhszMOj+/SL2QkQHjxsGjj8LixZCXB6tWsaNTdzYNuokDnbtxPLoxLpsNsIDNBoANiDiynxZRgfT6v7cJKytW52cRL6GQ4wGzQ05+RgbvGU1JnfW0u/+B/niK1I3TO0B37+6eBHHaNMp/+1s27C1ga9YWiqyBlIWF4wqwg+XEoqcWA3thIVFWg1afL6B75goC1693P3JWK5BInVDI8YDZIQdgVsbPDB93B9FXpGgouYg3OcsQ+KJxj5H57gJy4xIobNmKipBQwAIYYLFgsdoIslloWH6MhHfn0G7UTQSo349IjVPI8YA3hJxXM7YRvW0TtyREqxOkiC84+fjrzjvhlVfcLUFr13KoYxe+//Mz5LVP5PjRY1QEBmLYbJVLX9hsNoICLDS2GLRfspC2twzBEh9v9tWI+CSFHA94Q8j5z4dL2N2oGamfvaGWHBFfdeqipw7HL0HoxNIX2T9sYtMdD3IwoQPFxaU4re5+P+75f9z9f0IKjhDTOJoubZrQQiu/i5yXQo4HvCHk5Gdk8B7NSCVPLTki/uj0AHTK9xUtWvDzoWK2rMzkkC2IsgbROANOWfndYsEOhOQfoumBXDq3aUyzhf/W3FpS7ynkeMAbQg7p6cwaci/DHr6VJi9PVdARqY9OD0Lp6VR88AGb/vg4P8e15Yg9hONR0RgnW4AsFjAMbBaICAkkFifdP3mXhrffqvAj9YJCjge8IuRkZ/P6lgKiN//IzTOfP/tkaCJSv5waeqDqHEDjxlGemcmmG4az5be/p7BzV8pKSnHZ7JXhx+KswGazERYSRNOSw3R98lEaN2+iUZziNxRyPOAVIQf4dPq75Hbsxr0PD1fIEZHzy86G8ePdfytOztp8MhTl51P+9tusv/537Bx8M/mdu1FaUuYOPyfXADMMAspKCbO4aLI6gx45P9Lo0XEKP+JTFHI84C0hpygjg7dpSip79bhKRC7e2QJQRgaMHQtdulASEcHmIoOf+11FQYt4ysIjcAUFA8YvfYCcFQQbTpqtXErH/86nxcE9WgRVvI5Cjge8JeQAzFq1k2GJsTSJCDG1DhHxY6cufzFwIDz/PHTpAhERlC9axKbrb2Fb197kt3BQFhyKKyAArLbKliC74ST4wH4ahwfRft1yWv/+Rg2DF1Mo5HjAm0LO69/sJDo0gJu7tTC1DhGph06d+HDhQujdG556qnIR1IrZs9nSujPbP1nM0UbNKGnUBJc9wH3syWHwFeUEFR2jUeNo2rSMouPxfCyzZmkkmNQKhRwPeFPI+eynvWQfPc79feNNrUNE5JxOXQdszZrKALP1b/9gmzOYg63bU9o4hoqgIPfjL8MADGxWGwHFx4g6coA2HVvTuUMLAgICzL4a8WEKOR7wppCTX1zCe9/vI1UhR0R8zamPwU4uYnqidSj39lQ2fr+RfQHhFEc3whUUBDZ75aGW8nICXRVE7NxGy51b6PT2K0RNmaR1wOS8FHI84E0hB9z9coZ++R5NR49S866I+I+zhSDgyISJ/FARxL7WnShs2oyK8EiMEyPAKucCOl5C2KF9NM0/SGKXVsQs/FiPwEQhxxPeFnJmL9tEw53bueWn5VriQUT838m+QPHx8PTT0KoV5ORA374ULlvGT9cPJ3vAQIqataAsIhJXUMgvcwHhwmKxEnyskOhtG0jYl03C6JEEJMSbfVVSBxRyPOBtIeezxWvZZQvj3sMb1VQrIvXXyaHw334L5eUQEAB9+rhbcBYupCI/n58PFbH16sEcjomjJCIKV2CA+zHYiZYgi8VCoM1CWPlxWnz2MV32bKXBU0+oBchPKOR4wNtCTtFll/P2C/8k9fcDYNUq/TKKiJzNqaPBZs6EzEzo2dM9o/PMmRzK+Ib196Wxv2svCg8dpSIwGOPkhIjgHg5vtRAaaKVRaCBdYiNo0SAUy8mfi9e72Pdv+4V3kdoSNukFMCC3TQdazJypR1YiImfjcPzy9/H0SQrHjKERcMVl3cHREjKyYexo93xAGzZQsmkTWx78f/x8+30UlDrJPnqcHUeOu481XOB0YXW5CCgtJrphA1qWHqbb448QOGmSJkT0A2rJMdk/M7YRuWMbt7SO0C+UiEhNOjkEfuo5FkO+9FKyS1xsGjqS/Z27UxbbnAqrDcN+4vO/y4XFMLBZLYQePUK3/7xH4m0362+1CfS4ygPeGHI+n/0vstt24b5pf4EFC8wuR0Sk/sjIgDvvhIMH4fLL4eWXYfdudzBKSKB4yXJ+HDyMXQOuIT+mGWVhEaQ+dIv7cZnUqYt9/7bWYk3igSueH4crOAj+/W/48EOzyxERqT9SUmDrVjhyxP0h0+Fwb/vmG5g4kdDfXs8lthKGtYnk7rRbwWIhv2cvs6uWalBLjtk+/JBZsT248d6baXYg1/2JQkREvEt2Nq9kl9I0JJAbe8ebXU29o5YcXzVsGAHFx1g27ln3sEkREfE+DgeOJhHsd5pdiFSHQo4XaLlmBUcTOsKxY2aXIiIi53B1QmOcBu5ZnLOzzS5HPKCQ4wUGTHseAgLVkiMi4sUCAgLA6WT9tr2a8sNHKOR4gdB/TAfDYM9rb5hdioiInEdYUT5Zt95rdhniIYUcbzBsGAE2GysDm6gJVETEi11SdoiixrGweLF7CLp4NYUcL9EyZzOHQxu4pywXERGv1GHik2CxULxnD4wda3Y5cgEKOV7iyqQOuIKC3AvSiYiId5o6FVvpcb56+mWtN+gDFHK8RGBCPFit7H33X3pkJSLirVJSaJq9lT3J/aC42Oxq5AIUcrxIwPFiVjTvrEdWIiJe7PJn03AFBcP335tdilyAViH3InGRoexo0w6u6GJ2KSIicg6Rf3sRgC2vvkN7k2uR81NLjhe5NAwMm909/4IeWYmIeKdhwwi0WVndXBHH211UyJkxYwatW7cmODiYpKQkli9f7tFxGRkZ2O12evToUWX7/PnzSU5OpkGDBoSFhdGjRw/efvvtKvt8/fXXDBkyhObNm2OxWFjghyt2R74xCwyDvFVr9MhKRMSLJTuiOVbuMrsMuYBqh5x58+bxyCOPMH78eDIzMxkwYADXXXcdOTk55z0uPz+f22+/nauvvvqMnzVs2JDx48ezatUqfvjhB+666y7uuusuPv/888p9ioqK6N69O9OnT69uyb5jzBisZaWs/PNzMGSI2dWIiMg5dGsWBYaL8v79NV+OF6v2KuR9+vShV69ezDylpaFTp04MHTqUSZMmnfO4ESNG0K5dO2w2GwsWLCArK+u85+nVqxeDBw/mueeeO7Noi4WPPvqIoUOHVqd071yF/DSfvvExua3ace8/X4C5c80uR0REzuHVpZuJX7SQaxbMgQ0bzC7Hr9XJKuRlZWWsW7eOQYMGVdk+aNAgVq5cec7j5syZw/bt23n66acveA7DMPjyyy/ZvHkzl112WXXKO0NpaSkFBQVVvrzdFa9OwRkYBPPmwYcfml2OiIicQ6OfN5N9+TVmlyHnUa2Qc/DgQZxOJ7GxsVW2x8bGsnfv3rMes3XrVtLT03nnnXew2889mCs/P5/w8HACAwMZPHgw06ZN45prft0/nkmTJhEVFVX5FRcX96tery6ETpkCGOTFtYGHHjK7HBEROYerOjSiIjQcZs82uxQ5h4vqeGyxWKp8bxjGGdsAnE4no0aN4tlnn6V9+/P3Qo+IiCArK4s1a9YwceJE0tLSWLp06cWUV+nxxx8nPz+/8mvXrl2/6vXqREoKAc4KVj76PDz4oNnViIjIOTRISQGbjdzEnmaXIudQrXlyGjdujM1mO6PVZv/+/We07gAUFhaydu1aMjMzGXtijQ+Xy4VhGNjtdr744guuuuoqAKxWKwkJCQD06NGDn376iUmTJnHFFVdczHUBEBQURFBQ0EUfb5ZmG7PIbZ8I46fC+PFmlyMiIucQBCxb+ROjOjfWMg9eqFotOYGBgSQlJbFo0aIq2xctWkS/fv3O2D8yMpL169eTlZVV+ZWamkqHDh3IysqiT58+5zyXYRiUlpZWpzy/cXm3OJxBIVBYqF77IiJerNOGbykIj9S0H16q2jMep6WlMXr0aJKTk+nbty+zZ88mJyeH1NRUwP2IKDc3l7feegur1UpiYmKV42NiYggODq6yfdKkSSQnJ9O2bVvKysr49NNPeeutt6qM4Dp27Bjbtm2r/H7Hjh1kZWXRsGFDWrVqVe0L92ZhKSmwYjuHCktoNHw47N5tdkkiInIWfQb2IWuPQcW9qVpCwAtV+//J8OHDOXToEBMmTCAvL4/ExEQ+/fRTHCea6fLy8i44Z87pioqKeOCBB9i9ezchISF07NiRuXPnMnz48Mp91q5dy5VXXln5fVpaGgB33HEHb7zxRnUvw+vZS4pZ8tgkbnn4VrNLERGRc7DEx8OeHax6/98MuCIJUlLMLklOUe15cnyZL8yTc9LC2R+Qm9CZ1PQ7YfVqs8sREZFzeO9fSygOj+IPzz4A33xjdjl+qU7myZG6c9mGFRAUDDt3ql+OiIgXu6p5MOWRUZCQoHUHvYxCjpeKSvsTAIdsAXBiZJqIiHif2JS+AOzL/MG9wLJ4DYUcb+VwYCsvI+PRidCli9nViIjIedhLS8n441PuUbHiNdQZ3IvFBLjY37039GlndikiInIebbI3sb1DF8j60uxS5BRqyfFil330JhVBwVqoU0TEyw0Y0AtnQBCkp5tdipxCIceLRRe5FxQt2PCTOrOJiHixgIR4sMC66W9osIgXUcjxZunp2MpKWfa7ezWbpoiIl4vYm8v6AdfCffeZXYqcoJDjzRwOmkSEsq9rEowZY3Y1IiJyHpf83+scb9jY7DLkFAo5Xi6lfYy7X44WfhMR8WrtHroXLBYKLrlUXQy8hEKOl2sSFQpAYfoT+qUREfFmKSngcrKs9yB1MfASCjm+oLycjMhmMH682ZWIiMh5NA0IYG9iT3Ux8BIKOT6gUc52cpP6QWam2aWIiMh5XNMYnDZNQectFHJ8wIDln1AeFgHtNCmgiIg3C3ttFhgGmz/8xOxSBIUcn9DUWgFYKImLM7sUERE5nzFjCCktZl2/682uRFDI8Q3p6VhdTlYkDVTnYxERb+Zw0K19CwoMswsRUMjxDQ4HDY4eZFdsS61wKyLi5XrGNQSgPD1dH0xNppDjIy5Z/gll4VFa4VZExAdYK8r4OrCJPpiaTCHHR8QfOwwWC+UREWaXIiIiF9AwN5sdKQNh+3azS6nXFHJ8RXo6FsPFynseM7sSERG5gCteeIyKsHD46ist2GkihRxf4XAQaXWx9VC+fmFERLxc47YOsFjY62irBTtNpJDjQ5Jf/zsVoeEwbpzZpYiIyPn8/e9YiwpZ9sSLZldSrynk+JB2f7gNLBYqEhLUY19ExJs5HLQJs3K0bUeYPdvsauothRxfkpKCxeVibWQL9dgXEfFyl8dGYNjsMHasuhmYRCHHx4QXHGbzNTdqKLmIiJcLeG0WFqeTtR2S4LbbzC6nXlLI8THdNq7heKPGoKHkIiLebcwYwvfksGH43bB3r9nV1EsKOT6m6+9vcDd/gvrliIh4M4eDS3ZtoKRxE3jwQbOrqZcUcnyNw4HF5WJdsVX9ckREvFy7D98Fi5WSb781u5R6SSHHB4UWFbJh6EizyxARkQuZOhVbWSlfTp5ldiX1kkKOD+rkKqC4USwMHGh2KSIicj4pKcRGhpJXYVcXAxMo5PigpAmPgc0Gd9yhYYkiIl7u8o//idMeADNnml1KvaOQ44MsU6eC4WLjZb/R7MciIl4u6p4/AJAdGK7WnDqmkOOLUlIItMB396fB1KlmVyMiIufjcBBQWsLybgPUmlPHFHJ8VJsgO0WNYqFlS7NLERGRC0iMDuNYs5YwZozZpdQrCjk+KuWDWRgWKwwfruZPEREvd0kPB1htVLRoYXYp9YpCjo8KGDMGDINtodGaL0dExMtZLBYswOq3PtIH0zqkkOOrHA6CSov5bvSDWsdKRMQHRB7az+bY1vpgWocUcnxYqy3ryXe0gWPHzC5FREQuYMDSBZRGNtAH0zqkkOPDBsx5GWdgEKxapeZPEREv17LoCFgsFMTEmF1KvaGQ48MC/+dvYBjsj22p5k8REW+Xno69opwlfQfrg2kdUcjxZSkpBFSUsfyh8WZXIiIiF+Jw0DxvB/saNdMH0zqikOPjmlaUcCChk9axEhHxAZcv+heuwCD1y6kjCjk+rv/kxyAwCF580exSRETkAsKCggCDnzt2N7uUekEhx8dFTXgWgMNa3kFExPulpxNUepzlV//O7ErqBYUcX5eSgtUCKzfu0YrkIiLezuEg8fhBSioq4MMPza7G7ynk+IEmWzayt1V7GDvW7FJEROQCet87CqxWKkaO1IfTWqaQ4wf6r/uKirAw6NLF7FJERORCpk3DUlHBqvv+H4wbZ3Y1fk0hxw80+fPDYLFSEh2tuRdERLzdsGFE2V1sG3ILqD9lrbqokDNjxgxat25NcHAwSUlJLF++3KPjMjIysNvt9OjRo8r2+fPnk5ycTIMGDQgLC6NHjx68/fbbNXZev+dwYHVWsLxxO829ICLiA64gn9KwCLPL8HvVDjnz5s3jkUceYfz48WRmZjJgwACuu+46cnJyzntcfn4+t99+O1dfffUZP2vYsCHjx49n1apV/PDDD9x1113cddddfP7557/6vPVFg6MH2H1Jf7PLEBERDzQd9zBgUHD/g2qBr0UWwzCM6hzQp08fevXqxcyZMyu3derUiaFDhzJp0qRzHjdixAjatWuHzWZjwYIFZGVlnfc8vXr1YvDgwTz33HO/6rynKigoICoqivz8fCIjIz06xlfs+N9ZfN5zIKlfz4PxmgFZRMSrZWTwWnEEjTdvZOiGZXDKe5uc6WLfv6vVklNWVsa6desYNGhQle2DBg1i5cqV5zxuzpw5bN++naeffvqC5zAMgy+//JLNmzdz2WWX/arzlpaWUlBQUOXLX7X+y5/BYqHCw8AnIiImSkmhRc5W9nfqCnl5Zlfjt6oVcg4ePIjT6SQ2NrbK9tjYWPbu3XvWY7Zu3Up6ejrvvPMOdrv9nK+dn59PeHg4gYGBDB48mGnTpnHNNddc9HkBJk2aRFRUVOVXXFycp5fqe156CVxOVsz92OxKRETEA1fPnoIrOBhWrdIjq1pyUR2PLRZLle8NwzhjG4DT6WTUqFE8++yztG/f/ryvGRERQVZWFmvWrGHixImkpaWxdOnSizrvSY8//jj5+fmVX7t27brAlfmw1FTCQ4PY3rSt2ZWIiIgHAv/2N3AZbO/eV4NGasm5m1bOonHjxthstjNaT/bv339GKwtAYWEha9euJTMzk7EnJqpzuVwYhoHdbueLL77gqquuAsBqtZKQkABAjx49+Omnn5g0aRJXXHFFtc97UlBQEEFBQdW5RJ/WY+82VjSId8+iOWyY2eWIiMj5pKQQvPgHVtyfRtvF75ldjV+qVktOYGAgSUlJLFq0qMr2RYsW0a9fvzP2j4yMZP369WRlZVV+paam0qFDB7KysujTp885z2UYBqWlpRd13voq8b7RYLHAQw+ZXYqIiHiga0gZJbEt4LbbzC7FL1WrJQcgLS2N0aNHk5ycTN++fZk9ezY5OTmkpqYC7kdEubm5vPXWW1itVhITE6scHxMTQ3BwcJXtkyZNIjk5mbZt21JWVsann37KW2+9VWUk1YXOK8C0aeBy8f31v6N7RgakpJhdkYiInEfSwg9YM+Q+yseNI2DePHA4zC7Jr1Q75AwfPpxDhw4xYcIE8vLySExM5NNPP8Vx4n9MXl5eteeuKSoq4oEHHmD37t2EhITQsWNH5s6dy/Dhwz0+rwDDhhHyyRrWD7yR7uPGwTffmF2RiIicz5gxkFPOt5deQ//JkzWUvIZVe54cX+bP8+SctPKdj1nfogP3Z3yo+XJERHzA+wtWUBIQzF2vTYSPPjK7HK9UJ/PkiPfr/egYDHsATJqkIYkiIj7g8lenUhrVAD77TKuS1zCFHD8TcKJfzrYefdSSIyLiA5pFhwEWioIjtCp5DVPI8TfDhhFUfIy196ZBZqbZ1YiIyIVMnIi9oozFU17RquQ1rNodj8X7xeVuZ3ubLtCzp9mliIjIhTgcNC/KIze4J1wab3Y1fkUtOX7ossuTMYKCICJC/XJERHzAFe0a43S54NJL1S+nBink+KHAhHgA9i1Zrn45IiI+IDQgAJwudlpD1C+nBink+CnL8eNkPPQX2LDB7FJERMQDQc5yMv44Hu680+xS/IZCjp9qGmThcKceMH262aWIiIgHOn42n8LmDvfs9VIjFHL81OU921IREgoLF6pfjoiID7h04btgs8G+ffq7XUMUcvxUg9BAcLko/uRTTRMuIuIDLLNng8vFNzeNhsmTzS7HLyjk+DGr1cryJ15yr40iIiLeLSWFiKJ8Nt040uxK/IZCjh9rWFJAblQTWLvW7FJERMQDfVs14nh0I0hPN7sUv6CQ48cueephysIi4P77zS5FREQ80KZzPFhtlDRvbnYpfkEhx4+12rcbLBbKjx3T5FIiIj7CZoFl2w6ZXYZfUMjxZ2+8gcVZzjf3psHYsWZXIyIiHmgcFsju/ONml+EXFHL8WUoK4YX5bB80FLp0MbsaERHxwJUhZVQ4nRpGXgMUcvxcN0csxxs2hokTzS5FREQ80OC1WWDAgbnvm12Kz1PI8XNdu8aD1eqeK0efCkREvN+YMQSUlbIksb/+bv9KCjn1gcvJhm17NLmUiIgvcDhonbeNIw0aazLXX0khpx4ILinm+9/daXYZIiLioQF9umEEBEJ+vlpzfgWFnHqgbYhBYdMWcNttZpciIiIeCEiIB8Ngw75CtcL/Cgo59cClc2di2OzuYeT6RCAi4hMCj+Xz3a33wd69ZpfisxRy6oEAAMMgx2XXJwIRER/R8+N3KYppDlu2mF2Kz1LIqQ/S0wkoKWLNA+lQWGh2NSIi4oGeBXlgtVCxb59mrb9ICjn1gcNBs705HGrb0exKRETEUxMnYqlwsmpkKtx3n9nV+CSFnHoi5ev/4AoONrsMERHxlMNBg7xdbPvNjWZX4rMUcuqJqAArWKD4v4tg1iyzyxEREQ/0j4ugtEFDmD3b7FJ8kkJOfZGejqWslMXjnoVx48yuRkREPNAi5RKw2ShOusTsUnySQk594XDQIG83e5P7QufOZlcjIiIesgFffrpCU4BcBIWceqTvB//EFRoOFRVmlyIiIh5qumcnexvEaomHi6CQU4+0GvcQWCyUl5VpOKKIiI+4rEs8zqBgLfFwERRy6pOUFCwuJ6svH6x+OSIiPiKqYzwAu1atg/HjzS3Gxyjk1DNhrgq2/+ZmePRRs0sREREPBRQdY3na07Bhg9ml+BSFnHomce3XlEQ3hMWLzS5FREQ81JYiCuLbwxNPmF2KT1HIqWe6b8vCsNrMLkNERKqhz1cfg80GDz2kPpXVoJBTz1jS08FwsXFHHvz5z2aXIyIiHggZMwYMFz/2TNESD9WgkFPfOBwEHzlM1ugH4G9/M7saERHxhMNByOFDZN75IJSVmV2Nz1DIqYccG7+jsEUrSE42uxQREfFQ9x9XUhzbHPr0MbsUn6GQUw+l3HIdRmAgJCVpzgURER/R49abMWx2yp953uxSfIZCTj0UmBAPBuxbtBQeftjsckRExBMOB1arlZWEmV2Jz1DIqacsx0tY9fATsGKF2aWIiIiHooqOsH1zNsyaZXYpPkEhp56K3buLg526Qf/+ZpciIiIeSvnLWMoiG7iHkqu7wQUp5NRTl8VHUhESqpmPRUR8SMsGYWCxUBzVSAt2ekAhp55quPDfYEDJ0KHw4YdmlyMiIp549VWszgqWTHsDxowxuxqvp5BTX40Zg7W8jJV3/8nd7CkiIt7P4SAmNIjdLdqYXYlPUMiprxwOInGya8AgmDbN7GpERMRD/T96G8Nm1+MqDyjk1GM9O7fkeKPGMGyY2aWIiIiHGt9/O1gs7Lsz1exSvN5FhZwZM2bQunVrgoODSUpKYvny5R4dl5GRgd1up0ePHlW2v/rqqwwYMIDo6Giio6MZOHAgq1evrrJPYWEhjzzyCA6Hg5CQEPr168eaNWsupnw5oUNsA3C5oHlz9csREfEVDgd2w8WKdZu1WOcFVDvkzJs3j0ceeYTx48eTmZnJgAEDuO6668jJyTnvcfn5+dx+++1cffXVZ/xs6dKljBw5kiVLlrBq1SpatWrFoEGDyM3NrdznnnvuYdGiRbz99tusX7+eQYMGMXDgwCr7yEVwOsnsOxDuv9/sSkRExENx6zI41KwVjBtndilezWIYhlGdA/r06UOvXr2YecqzwE6dOjF06FAmTZp0zuNGjBhBu3btsNlsLFiwgKysrHPu63Q6iY6OZvr06dx+++2UlJQQERHBxx9/zODBgyv369GjBzfccAPPP+/ZFNcFBQVERUWRn59PZGSkR8f4uzc//gZb6XFuGzcadu0yuxwREfFAWUYG/zSakmrZCykpZpdT6y72/btaLTllZWWsW7eOQYMGVdk+aNAgVq5cec7j5syZw/bt23n66ac9Ok9xcTHl5eU0bNgQgIqKCpxOJ8HBwVX2CwkJYcV5ZuwtLS2loKCgypdUlbB6KceatgCFPhERnxGYkgI2G9vadTW7FK9WrZBz8OBBnE4nsbGxVbbHxsayd+/esx6zdetW0tPTeeedd7Db7R6dJz09nRYtWjBw4EAAIiIi6Nu3L8899xx79uzB6XQyd+5cvv32W/Ly8s75OpMmTSIqKqryKy4uzsMrrT8uuX4A2G0we7bZpYiISDUEl5eyesla9ak8j4vqeGyxWKp8bxjGGdvA/dhp1KhRPPvss7Rv396j154yZQrvvfce8+fPr9Jy8/bbb2MYBi1atCAoKIj//d//ZdSoUdhstnO+1uOPP05+fn7l1y49jjlDQEoKWKzs6tTT7FJERKQaOnzwJgWxLeCBB8wuxWt51rRyQuPGjbHZbGe02uzfv/+M1h1wj4hau3YtmZmZjB07FgCXy4VhGNjtdr744guuuuqqyv1feuklXnjhBRYvXky3bt2qvFbbtm1ZtmwZRUVFFBQU0KxZM4YPH07r1q3PWW9QUBBBQUHVucR6yQ6sWZFJXPeW4HCYXY6IiHjg0pyNfG+3u7sbZGfr7/dZVKslJzAwkKSkJBYtWlRl+6JFi+jXr98Z+0dGRrJ+/XqysrIqv1JTU+nQoQNZWVn06dOnct8XX3yR5557js8++4zk5ORz1hAWFkazZs04cuQIn3/+OTfeeGN1LkHOoumurRwOjYLJk80uRUREPGR5+WUwDNb1G6S/3+dQrZYcgLS0NEaPHk1ycjJ9+/Zl9uzZ5OTkkJrqnpTo8ccfJzc3l7feegur1UpiYmKV42NiYggODq6yfcqUKTz55JO8++67xMfHV7YUhYeHEx4eDsDnn3+OYRh06NCBbdu28eijj9KhQwfuuuuui754cRvw7WLeu+k+s8sQEZHqcDgI37CWH28eTdK/pptdjVeqdp+c4cOH8/e//50JEybQo0cPvv76az799FMcJ5rJ8vLyLjhnzulmzJhBWVkZt9xyC82aNav8eumllyr3yc/P58EHH6Rjx47cfvvt9O/fny+++IKAgIDqXoKcJuqPD7hXtQ0IcDd5ioiIT0havYiSRo3NLsNrVXueHF+meXLObfbXW4nP+JJB+TvV7Cki4ivGjGHWbY9yx9wXCfHjtazqZJ4c8V+RNie7ky6FIUPMLkVERDyVng6Gi2+Tr1ZL/Fko5AgAvZZ+QllIGMyda3YpIiLiKYeDiMIj7GiZoFXJz0IhRwBov3sbWPTPQUTE11zeugml4ZEwZozZpXgdvauJW3o6YPBd+x5q8hQR8SEtO8aD1UpJ8+Zml+J1FHLEzeEguKiQH5t3gEceMbsaERGpBhuwdMEyfUg9jUKOVGr91ScUN2sOy5ebXYqIiFRD4/27yG0Qq345p1HIkUqXbF4HNjv07292KSIiUg1XdI6jIjRM/XJOo5AjlUJe/jsAeZP/bmodIiJSPdHt4sFq5VCTpmaX4lUUcuQXDgd2q5VvN+3Sc10RER9jB5YtWqO/36dQyJEqmuzN5lBYAz3XFRHxMS23ZHEwsiGMH292KV5DIUeqGBATQHlIiGY+FhHxMQNefgFXQBC8/z58+KHZ5XgFhRypouHCf4PFQvnChWaXIiIi1RDWuT0Au7smwf33m1yNd1DIkarGjMHqdLIiIVnPdUVEfMnEiQQWFrAs7RkIDze7Gq+gkCNVORxEFBWS3dShfjkiIr7E4aDt1iwKHW2hRw+zq/EKCjlyhi4tG3G8QbTmWxAR8TGX/LTaPd9Zs2Zml+IVFHLkDF0THe5fkpkz9chKRMSHhKSnA7Bx7GMmV+IdFHLkDBaLBVxONv24DSZPNrscERHxlMNBiLOMzJ9yNMIKhRw5B9vxEtaNvBcKC80uRUREqqHz269wLKYp3Hef2aWYTiFHziouewtFLeLNLkNERKqp97JPMKw2KCqCjAyzyzGVQo6c1YCsZbgCAiAiwuxSRESkOubMweJ0snr4PTBunNnVmEohR84qbFwaAIcfVuc1ERGfkpJCOE5+GnYbPPqo2dWYSiFHzs7hwGYx+GbJqnrf3Cki4mt6rfqckujG8Pzz9XqUrEKOnFP0zm3sdbSv982dIiK+plP2ZvcSPT/8UK8X7FTIkXNKcjSkLDIKEhLq9ScBERGfk56OxVnBioefgg0bzK7GNAo5ck6tU3qDxULFJ59ovhwREV/icBBlN/j52qEwfbrZ1ZhGIUfOz2WQOfRWzZcjIuJjLu0QR3lEFCxcWG9b4xVy5LzCSo6x6YbhGkouIuJj4huHgWFQ8s9/1tvWeIUcOa82MQ0oimkGJ9ZDERERH+Ks4Os/Pm12Faaxm12AeLdLwmF9sc3sMkRE5CI0cpay+5L+UNjU7FJMoZYcOa+A12aBYbDnzf8zuxQREammy19Ipzw0HJ56yuxSTKGQI+c3ZgyW8jK+dXTUpIAiIj4mJncHWCwUh0aaXYopFHLk/BwOmu7cwqEW8ZoUUETE18yeja30OF/9cXy9HGGlkCMX1K9dYypCQmHqVLNLERGR6khJIebQXvbGtqqXI6wUcuSCmqT0AyyUjxwJH35odjkiIlINl3/zXypCQ2H+/HrX7UAhRzxiLS/nmxtHwwMPmF2KiIhUQ4M/jgUsHAkIrXfdDjSEXDwSVnCYn6+8jgFb1ppdioiIVIfDgX3XVpY88xI3R5tdTN1SS454pPM3SyhpFAOGYXYpIiJSTc3ysjnYpjOsWWN2KXVKIUc80vP1l8Fmg++/N7sUERGppiuah+AKCnKvY1WP+uUo5IhnZswAwyD71TfNrkRERKopbOFCMAxyKyz1ql+OQo54ZtgwAoPsfNsq0exKRESkusaMwV52nK/HT4FHHzW7mjqjkCMeiw0P4mhJhdlliIhIdTkctMrdTr6jLSxebHY1dUYhRzzWx1qKyzDq5ayZIiK+rv8XH4A9AP71r3rTL0chRzzW+A33Yp0lt92moCMi4mNCw8PcfSvj2sLYsWaXUycUcsRzY8aAs4JV/a6H8ePNrkZERKojPZ3AokK+efhJcDjMrqZOKOSI5xwOIg7uI6fflbBhg9nViIhIdTgctNm1laOOBGjWzOxq6oRCjlRL18AKjjdsBE88YXYpIiJSTSlX9MYIDIRvvqkX/XIUcqRauq34HCxWePFF9csREfExAQnx4HKxJbp5vZgvRyFHqmfMGMBge0CE+uWIiPigYKvBugcfg6lTzS6l1l1UyJkxYwatW7cmODiYpKQkli9f7tFxGRkZ2O12evToUWX7q6++yoABA4iOjiY6OpqBAweyevXqKvtUVFTwxBNP0Lp1a0JCQmjTpg0TJkzA5XJdzCXIxXI4CDxWyLo7H4TMTLOrERGRamofFkBBTDNo2dLsUmpdtUPOvHnzeOSRRxg/fjyZmZkMGDCA6667jpycnPMel5+fz+23387VV199xs+WLl3KyJEjWbJkCatWraJVq1YMGjSI3Nzcyn3++te/MmvWLKZPn85PP/3ElClTePHFF5k2bVp1L0F+pea7fybfkQDt25tdioiIVFPv92dhWKwwc6bZpdQ6i2FUb1npPn360KtXL2aecnM6derE0KFDmTRp0jmPGzFiBO3atcNms7FgwQKysrLOua/T6SQ6Oprp06dz++23A3DDDTcQGxvL66+/XrnfsGHDCA0N5e233z7r65SWllJaWlr5fUFBAXFxceTn5xMZGenpJctpjj38Z+bekkrqH38HCxbUm6GIIiJ+ITubWbsqSFn1X7r+fohP/A0vKCggKiqq2u/f1WrJKSsrY926dQwaNKjK9kGDBrFy5cpzHjdnzhy2b9/O008/7dF5iouLKS8vp2HDhpXb+vfvz5dffsmWLVsA+P7771mxYgXXX3/9OV9n0qRJREVFVX7FxcV5dH45v/C0h8BioWTHDvXLERHxNQ4HIceLyWrb0+9bc6oVcg4ePIjT6SQ2NrbK9tjYWPbu3XvWY7Zu3Up6ejrvvPMOdrvdo/Okp6fTokULBg4cWLntscceY+TIkXTs2JGAgAB69uzJI488wsiRI8/5Oo8//jj5+fmVX7t27fLo/HIBDgfWigoyHvyL+uWIiPigzscPU9QkFnr3NruUWnVRHY8tFkuV7w3DOGMbuB87jRo1imeffZb2HvbfmDJlCu+99x7z588nODi4cvu8efOYO3cu7777Lt999x1vvvkmL730Em+++eY5XysoKIjIyMgqX1Izwg8fIKffVXBKa5uIiPiG5OcfA6sVHnrIr6cDqVbIady4MTab7YxWm/3795/RugNQWFjI2rVrGTt2LHa7HbvdzoQJE/j++++x2+189dVXVfZ/6aWXeOGFF/jiiy/o1q1blZ89+uijpKenM2LECLp27cro0aP505/+dN5+QFJ7ur//GmVR0XDi8aGIiPgOy9SpYBhkXjkYJk82u5xaU62QExgYSFJSEosWLaqyfdGiRfTr1++M/SMjI1m/fj1ZWVmVX6mpqXTo0IGsrCz69OlTue+LL77Ic889x2effUZycvIZr1VcXIzVWrVcm82mIeQm6Tx8CFgs0LevX38KEBHxSykpBBUVsH7YHVBYaHY1tcazTjKnSEtLY/To0SQnJ9O3b19mz55NTk4OqampgLsfTG5uLm+99RZWq5XExMQqx8fExBAcHFxl+5QpU3jyySd59913iY+Pr2wpCg8PJzw8HIAhQ4YwceJEWrVqRZcuXcjMzORvf/sbd99990VfvFw8y7BhkPEzWwMjaDdzpl9/EhAR8Ufds1awut+1ZpdRq6odcoYPH86hQ4eYMGECeXl5JCYm8umnn+I4MQQtLy/vgnPmnG7GjBmUlZVxyy23VNn+9NNP88wzzwAwbdo0nnzySR544AH2799P8+bNuf/++3nqqaeqewlSQwJcTrJuGEm7sBKzSxERkWrqtXMjq/sPdi+4nJ3tE0PJq6va8+T4sosdZy9n9+k/3iG3Y3fu/fNojbISEfE12dm8klNKr9depnd+rnveMy9VJ/PkiJzqspX/xRkU4pfpX0TE7zkchO3by8YbR8KqVWZXUysUcuSihUdGAFCiSRZFRHxSj6O7KGkcC3/8o9ml1AqFHLl46elYXU4ykq7SCCsRER+U+No0sFqp+Mc//PLvuEKOXDyHg4j8Q+yObqblHUREfNHUqVicTtb8/g9+ucSDQo78Kl0+/ZDj0Y3cvfNFRMS3pKQQYYfNg4bCkCFmV1PjFHLkV+l6201gs0GXLn7Z1Cki4u96LfuE4xFRMHeu2aXUOIUc+VUsKSlgGOzce1QTAoqI+KCOu7a4++XMnw8ZGWaXU6MUcuRXCyg7zqrRqWaXISIiFyM9HSoqyLjlThg3zuxqalS1ZzwWOV3TINgV3w4SbjO7FBERqS6Hg4idG9k2eDiXX3WJ2dXUKLXkyK+WMuNFsAfAiy+aXYqIiFyEpJWfUR4ZBYsXm11KjVLIkV+tweL/AlCyZIk6H4uI+KCOOVvBYqHc7EJqmEKO/HozZmCpqGD1vX9W52MREV+Uno7FcPHt/Y+ZXUmNUsiRX2/YMMKLjrKz/0AoLDS7GhERqS6Hg4gAO9sOH/OrFnmFHKkRHTdncbxhI4iIMLsUERG5CJcsns/xgCC/apFXyJEa0eumQRg2u3soooiI+JyE3VvBaqX8ww/9Zr4cDSGXGmGJj4e8nczKdWHN3UHo0UM4dm8lqUsrQhcuhDFjwOEwu0wRETmX9HQsO0pYNfweLrvvPr9YrsdiGIZhdhF1paCggKioKPLz84mMjDS7HP+Tns6hxcv47o4HyHW0pywyCpc9ACwWAAKLCmlsc5H43XLa/P5GhR4RES/z/vtfcTwkjDv/fBts3Wp2OZUu9v1bLTlSc8aMoRFwTa82MPcN97bCQio++YSffjuCjVfewIEWcXxx6fWQ64LcHVjKSom0uGj180Z6D0gmMCHexAsQEanfkn9YzuLrRkGfPmaXUiPUkiO1KzsbZs6E3r3dkwU++iisWQP5+Rxa9BWr7/wj+7olURoZjREYAFjAYiEIaLh7O71+/Ja4u29Vq4+ISF3IzmbWrgr+cGVHAp55BsaPN7si4OLfvxVyxBzZ2e5fng0b4IknKoNP+aJF/PDo02xr2Z7CgBAqQsPAagWLBVt5GaGucuJWLCb5ymRCU1LMvgoREb/zytJNdJz/DpfPmAQVFWaXAyjkeEQhx8udbPUZM8b9/clhjOnpHHrzHdaENWNfu44cj2qEEfBLX58gG0QfO0r3vz5F659/gjfeAAUgEZGL8v67iyiJbMBdd1wLhw6ZXQ6gkOMRhRwfdvpjr6lTKb/kEtbvK2TbwWIKDh6lIiTUva/hwmq4CLFaaLVjEz1Cyog6cYzCj4jI+W2/+noWPfu/pA5Ogvx8s8sBFHI8opDjxz78EO6/H6Kjyb9yEKvbdiUvMYmSyAYYVhsYLiyGgc3ppEGAhY7rltPltwPdQ99FROQX7dox643PuePqzoR8+aVXfDhUyPGAQk49cbLVZ8gQWLiwsvVn0zU38lPrThyOb0d5YDC4n3ZhcbkIslqI3bGZXt+vJHbsferoLCL1V0YGs5wxdPrwbS7/9gv45huzK1LI8YRCTj13evj5/HNKtm5l3T2PkH3VYI5FRGPY7VU6OofZoU3zRvRqGUVgQIDZVyAiUifezthCRVEJd4UdU0uOr1DIkSoyMmDsWOjSxd3Zee5c9/b0dHb/+XG+v3Qg+xJ7Uh4ZTeUvictFgNVKIzt0Xv4p7W6+Xo+8RMTv/HywiC+2HiC1b7zZpQAKOR5RyBGPZWTAuHFVOitXpKez4UgZm387nMKwKMptNrDZwWLBAoQePUzM+rVc8uY/iJ7wFAwbZu41iIj8CrNW7eQPH88iwAuW5VHI8YBCjvwqpw9xP/HfxbHN+fZfn7EnKJyiRjG4gkPcw9stFuyGk7C8XFo3jaJbr/aEhoSYew0iIh56ZcU2On3+EZeVHzJ9ZXKFHA8o5EitOTm54YoVcOwYvPIKuQOvI/PdhRxs7uB4o8buVh+XC4sF7GWlRIeH0DEIOs/4q/s10tNN/7QkInLSuxmbKcsv4s6oEtP75SjkeEAhR+rcqY+9Fi6k/IMP+GnwLWzt1Z/DrdvhtAeAYYBhYDEMAstLabJ/N927dySuU7zZ1YtIPbb57zNZknQNqZ+85rMtOVqgU6Q2paT8MvyyZUsCgG5DhtBt4UK4oqt7+yWXUFJYSGbq/2Nn3yvIjXWw+5ATVu0EwAqEuMpo/s3XJF3aiQZeMNJBRPxfh5uuZ8luJ+X3pOKrY0vVkiNitpOtPY8+CosXu7edeHR16FgJmXsKyd2yk9KQcFxBQWCzgWFgw0V4/hHiIgPo/c5sggyXHnmJSI16ZdVOOm/+jgFXJpn6t0WPqzygkCM+67THXrt/2ETWTbdxsJmD0ogo91peAE4nAXY7Ea7jtP/oPbr07UbAmjXuztIKPyJSTe99to7jThd3Lf/Q1EdWCjkeUMgRv3D6pIZDhsDcuVR88w1bOvRg88i7ORISQVlohHtiQ5d7SYuA48VEFxymS4d42nVxYDmxwKmIyLls/nEnS446SY2zqyXH2ynkiF87dYj77t3ulp9mzShfupT1N93O9pSryY9vS0VwiDv8GC5wuggqLaHxzz/RrUs8jpaxv7yGWn5EBJi1cgd/SBtJgImLHCvkeEAhR+qdU1dvf/559+zOEyeCw0FJ//5kdu5D9hXXcSwmFmdwCFjcS1rgrCC0uJjG4TaSln1K7K3DFXpE6qlXlm2hy3uv03/5f2DDBlNqUMjxgEKOyClOLmsREwP798P06dCyJQX33ktm8lXs6tGXksZNcAYGuVt+MLCVlxNcWEDMD2vpvWUdDZ99UuFHxM+9+8FSSoNCuSvtVti61ZQaNIRcRKonJQUyM8/YHPnqq1w+eTIsyYbbbnP3+8nPJ3/xMtYMv4u9XZPI7nsFO664FnKdsGenO/xYXDRdm0EPR2OarF6pR14ifqLXDytZOmg49OljdinVppYcEbmw7Gz3yIrCQjhwANatg/794eWX2ffmO/wQ3Ig9HbtTEtXQPcQdwGLBargIsdtpGQQ9Xvkr0d9+424x0lw/Ir4jO5tZuS7+EGMhICHelBL0uMoDCjkiteDUfj8vvuie72fNGvYZAXwf24Y93ZMpCwjGZbW4+/wA1rIywvbtIXbzDyR9+i+i27Wu7CskIt5n1qqddGsWTr/4xqacXyHHAwo5InXo9AVNx4+HL75gX/NWZN58Bwe6dOd4dGN3h2cAlxNrWTkhJcdocWgPXXt3p4mWthDxCnPX5uA04I7erUw5v0KOBxRyREx28rHXjz/CmjXQoAFEREBgIPuwk/W7u9jbvTfHGzXBsNvdLT+GC0uFk2CbhZaNI+hlLSH69Vnq8yNShzZs2MnyI+bNl6OQ4wGFHBEvdXIV98xMaNcOmjWrXKJi329vIiv5Svb17kdJg8YYLpf7GIsFi7OcsIBAYpyF9JyQTpMm0XrsJVIb0tOZNeQ+UhfONmXmY4UcDyjkiPigU5e0SElxB6LhwzlUUMTaUansuySF4wFBuAKD3HP8GC6sBgQfOUjMji10b9mAZqsz1PIj8mtkZ/PKrgqSIm0kd4uv89Mr5HhAIUfET5x87AXuFp/du91z/pSVcSQ0knVDRrG3QyLFsc1xBQSAYbgDkNVKsN1CYww6L1lIm+G/VfAR8dDctTkYwOjkuu+Xo5DjAYUcET936kivp55yb5swAdasoeDOVLLsYewuKKXoWBFOixWsNnf4AYKKj9Eg/xDtmobTZe7rWECruouc4rvvd7KmsIL74wLq/PdCIccDCjkiAvwShvLzKVyynJ9G3MnPbbpQFNOc8vDwyrW9LE4nditEBAXS+rsMuifGE7hwoR59Sf2Uns6sG+4l9c+3wrx5dfo7cLHv39aLOdmMGTNo3bo1wcHBJCUlsXz5co+Oy8jIwG6306NHjyrbX331VQYMGEB0dDTR0dEMHDiQ1atXV9knPj4ei8VyxteDDz54MZcgIvWZw+F+3JWeTsTQG7jkmr6MWPVv/vDxLFIte0l98Gbu6Z/AJS8/R/SWjRQUl7Kuy6X802jKrCH3Mmt3Ba9m/Mx7n64lI2snRdt2ult9srPNvjKR2jNmDLhcZCV0M6Xz8cWodkvOvHnzGD16NDNmzCAlJYVXXnmF1157jY0bN9Kq1bmf0+Xn59OrVy8SEhLYt28fWVlZlT+79dZbSUlJoV+/fgQHBzNlyhTmz5/Phg0baNGiBQAHDhzA6XRWHvPjjz9yzTXXsGTJEq644gqPaldLjoh4JDsbHn4YVq2CGTMgOdnd8jNkCIwbx+aW7dh8w+85FNOc8ohIXCcfexkGNquVEFcpMWtWkdy7PQ1T+pl9NSI15s3PM7EeK2T04vfcvxN1pM4eV/Xp04devXox85SL69SpE0OHDmXSpEnnPG7EiBG0a9cOm83GggULqoSc0zmdTqKjo5k+fTq33377Wfd55JFH+M9//sPWrVuxnHimfiEKOSLyq5181DVkiHtdrzFj3J9q58xhX+fuZD42gQOhDSiJiPplxBdgAYIs0GjnZrpsWkebu27VIy/xOWt+2Mm6ggpS67hfTp0s0FlWVsa6detIT0+vsn3QoEGsXLnynMfNmTOH7du3M3fuXJ5//vkLnqe4uJjy8nIaNmx4zjrmzp1LWlraeQNOaWkppaWlld8XFBRc8NwiIud18lEX/LIG14m/ibHAtZd2dI/2Gnene9h7vxQKSsr5bvdRcnfmkhcTR26LtrC7AnJ3ABB4vIiowwdpvX09Xdd/S0BEhDo9i1dKjoR1hdbKx73e/m+0WiHn4MGDOJ1OYmNjq2yPjY1l7969Zz1m69atpKens3z5cux2z06Xnp5OixYtGDhw4Fl/vmDBAo4ePcqdd9553teZNGkSzz77rEfnFBG5aA5H1aZ7hwO++aby28iQAK5o1wQCi6v0ZShZvJgNv7uLn9t3pSC2Bav7XcvqATe4h7zvqsCet5PQQDvNSw7T4+nHaPDsE1rcVExlmTULBt/Dxv2FdJ450+v75lQr5Jx0euuJYRhnbVFxOp2MGjWKZ599lvbt23v02lOmTOG9995j6dKlBAcHn3Wf119/neuuu47mzZuf97Uef/xx0tLSKr8vKCggLi7OozpERGrcqWEoO5uQqCiSB19O8ty57hXeT4qIYNuDj7HREsihonI2uULY9PQ0wAIrd2DBIPjIIZo0CKVLp3gcDcNMuRyph8aMIXhrPmvu/ROdO5mzWGd1VCvkNG7cGJvNdkarzf79+89o3QEoLCxk7dq1ZGZmMnbsWABcLheGYWC32/niiy+46qqrKvd/6aWXeOGFF1i8eDHdunU7aw3Z2dksXryY+fPnX7DeoKAggoKCqnOJIiJ142yPvU6RcOIL+GXW54QE9m/NZsP1t7CnYyK5IaHkbD4AHADAUlGBvbyUyCA78d+tpPvqJQSGh/nEYwXxEQ4HbV0H2LC3yCf+TVUr5AQGBpKUlMSiRYu46aabKrcvWrSIG2+88Yz9IyMjWb9+fZVtM2bM4KuvvuKDDz6gdevWldtffPFFnn/+eT7//HOSk5PPWcOcOXOIiYlh8ODB1SldRMR3paS4H39lZxMzcyYxiS3hxfHuPj99uwBQnp7ODweK2dH3So62bs+6npexrtdlYAC7ndhyfyZk/x6ablpPzy2ZNAqyKfzIRbm0ZQN3yElP9/o5o6r9uCotLY3Ro0eTnJxM3759mT17Njk5OaSmpgLuR0S5ubm89dZbWK1WEhMTqxwfExNDcHBwle1TpkzhySef5N133yU+Pr6ypSg8PJzw8PDK/VwuF3PmzOGOO+7wuH+PiIjfOLX1Z9iwKj8KGDOGpMmTSVr3BXSKgZOPwCIi2PnHx9j49RoOxLRgR+/L2NZ/kHvCw1wXlj07CbRZaBASQELDYDrGRBAQEGDCxYmvCAgIAJeLLVmbaT95cp0OJa+uaieF4cOHc+jQISZMmEBeXh6JiYl8+umnOE4kuby8PHJycqr1mjNmzKCsrIxbbrmlyvann36aZ555pvL7xYsXk5OTw913313dskVE/NvpnZ9PeQQWD8QfzoX77oXycujcGZo1o3jcY2Raw9idX8rBojL2HSsjI6cAXC6wWLCVlRJWmE/zlrH06NCcBqGBdX5Z4p2Ciov47tb7aP/hK2aXcl5a1kFERH6Rng4ffMCWxN5suvJ6DrfuQHl0A5z2XwKO1ekk4OhhGoYF0a5jHO0ah6v1p55ZMnkGW/pcyf1poyAzs9bPVyfz5IiIiJ8bMwaA9r170/7556FLF5g4sbLfRX5xOVkT/4e8jl3ZH+ogb2c+X+/Mdx/rcrlbfywGTZs3oqelhOjXZ3l9vw2pvpQB3dlsBML06WaXcl5qyRERker58EN46CGYNu2XvkHp6Wz99gc2/XYEhxM6UNo4FteJx14YBlZnBQElRUQWFdCmrYMuYRD4mgKQL5u1aifXtW+Io1Htv59qFXIPKOSIiNSS09f7GjascgmM4qJSMp1B5PbuR0FcGypCQt3HGAZYrVgsFsJcZTT+bjXderWnecol5l6LeGTO8i2E/7yF34WXntERvqYp5HhAIUdExATZ2TB+vLvvRs+e7sdfADNnkj06lY22YA5syaY0LAxncKh75JfLhcXlxFZ6nAiLQYtln9Nz01rCGjXU0Hcv8fnz08npdyX3/v5yOHiwVs+lkOMBhRwRES91csLDqVNh4ULKX3+d9Vf/lh1XXEd+6wTKgkPAanMHIIulctbnBkcP0H77BhK2fK81v+pYaWIic2Z9TOpd18LWrbV6LoUcDyjkiIj4gOxs93xAeXnu/77/fnjlFXd4adaMI+MeI/OjL9jXzEFRTFMqwiLcfX9cLgCsLifBRw/T7GAeXTo0p/nCj9T3pzZkZDDLaMrN/zeDmHF/rNX7q5DjAYUcERE/kZEBY8e631hPThobEcG2Zg42hcZwuF1njkdE4goMBIu79QeLhYDjJYQFWmm58Xu6rlpEVJBdrT+/wutLNtJg2yaGfbeoVicF1BByERGpP1JSzjo/S0J2Ngnjx8Ocqe7+P2PGuB9/3ZPK+kVfszMgkvw4Bxs69uLHTknug3Y7seT+TMDxEhqEhxFXfoTu6X8kcPJkrfp+Ac12bGZ3mw7wyVtml3JWaskREZH64cRoL4YM+WXZi48+oiAwmPV3PMiuPgMoatqCCrsdwxZQOfrLVl5OgM1C9P5c2rV30K59C01+eEL+gAG8N/kNUsfeUquTAqolR0RE5HzOtvL7hx8S+dBDpHRsDt9/Cf3GwO7dkObuBL1v0TI2WsLJ7d6bfVFNyDtSwddrc93HGga2kmKCS0to0KQxnRzRtG0SicViMef6TBA1eTJg4WDffjTOzva6x35qyRERETmXU1t/Fi6s0oE5Z+D1bOx/LQc7JVLcPA6X/UTrzokO0DarlZBAK01w0XXxfJqPGOZ1IaAmzF62mcY/fsfNP35da/1y1JIjIiJS087W+nNCqzF/oNUDD0DfvvDyy+5909OpeOUVdvS5ks33P8zhlvHkFJexI+VGyHVB7g4sTic2C4QWHCX2u2/psmg+TeOaVVk+w5c0yd3J/o5dYdE8s0s5g1pyREREasrJ4e/wy6itk61BY8ZQPnw4m2McbL/2Jo44EigNDcOw291zAJ14zBVQVEjo8SKaxTUjsV0MjcNCTbygCztw1W/48LmZpI4dVmv9cjSE3AMKOSIiYqqTkx4++ih89BF8+617e58+lD/zPD/O/Cc7HR3Ib92O0uhGGDZblcNtpSVEHD5E7JYf6D6gBw1T+plwEafJyGAWzRhFHpG1NBpNIccDCjkiIuLVTs7/c9rq7+Xl5Wx4fR7bLSEUNm1BeWQUzqDgytYfi9OJzWYjNNBK88hgujZvQKOwwDore3bGdlqtXMK1baJrZR0rhRwPKOSIiIjPOn0m6OnTISWF8vR0fjxaxs7rb+FobHPKXeA67dAAIKTwKLENG9AlIYamDWr2EdgH//yY/OZx/GHk1XDkSI2+NijkeEQhR0RE/M4pfX5O77hcXl7OxgPH2Pnteo6EhHM8PApOPgIzDDAM7GWlhISE0KRBCB1jQmnVMKLaJeT16c/HU98gdUhvrwo5Gl0lIiLiy04dAXaagIAAujePpnsvR9UglJ7O8Vde4ef+g9h29RDyE7uxw4Cfj5QAhyqPtwKhgTaig+10spTS+q1ZWM4Sppr9vz8BFspfew1vmiZRLTkiIiL1zclHX4WFcJbV2ysqKth28BhbDxZz5Hg5ZU6DCqcLqLoQamBRIQ137aBtl3iWWxvTrlEIV7ePrfFy1ZIjIiIinnE4zjtxn91up2PTBnRs2uCXjdnZMHw4/PQTu1p34sebb+Ngp64ciG9HnisUrHCkqKz2a68GhRwRERG5MIcD5s2DyZOJ27uXuHkzoUULOHDA3Qm6r/ctZqqQIyIiIp65QAuQt7GaXYCIiIhIbVDIEREREb+kkCMiIiJ+SSFHRERE/JJCjoiIiPglhRwRERHxSwo5IiIi4pcUckRERMQvKeSIiIiIX1LIEREREb+kkCMiIiJ+SSFHRERE/JJCjoiIiPilerUKuWEYABQUFJhciYiIiHjq5Pv2yfdxT9WrkFNYWAhAXFycyZWIiIhIdRUWFhIVFeXx/hajurHIh7lcLvbs2UNERAQWi8XscrxGQUEBcXFx7Nq1i8jISLPL8Vm6jzVD97Fm6D7WDN3HmvFr76NhGBQWFtK8eXOsVs972tSrlhyr1UrLli3NLsNrRUZG6pe4Bug+1gzdx5qh+1gzdB9rxq+5j9VpwTlJHY9FRETELynkiIiIiF9SyBGCgoJ4+umnCQoKMrsUn6b7WDN0H2uG7mPN0H2sGWbdx3rV8VhERETqD7XkiIiIiF9SyBERERG/pJAjIiIifkkhR0RERPySQo6IiIj4JYUcPzBjxgxat25NcHAwSUlJLF++/Jz75uXlMWrUKDp06IDVauWRRx45Y58NGzYwbNgw4uPjsVgs/P3vfz/v+SdNmoTFYjnra/kSs+5jbm4ut912G40aNSI0NJQePXqwbt26GrqqumfGfayoqOCJJ56gdevWhISE0KZNGyZMmIDL5arBK6tbNX0fX331VQYMGEB0dDTR0dEMHDiQ1atX/6rz+gIz7uOkSZPo3bs3ERERxMTEMHToUDZv3lzTl1anzPr3eNLFvs8o5Pi4efPm8cgjjzB+/HgyMzMZMGAA1113HTk5OWfdv7S0lCZNmjB+/Hi6d+9+1n2Ki4tp06YNkydPpmnTpuc9/5o1a5g9ezbdunX71ddiJrPu45EjR0hJSSEgIID//ve/bNy4kalTp9KgQYOaurQ6ZdZ9/Otf/8qsWbOYPn06P/30E1OmTOHFF19k2rRpNXZtdak27uPSpUsZOXIkS5YsYdWqVbRq1YpBgwaRm5t70ef1dmbdx2XLlvHggw/yzTffsGjRIioqKhg0aBBFRUW1cp21zaz7eNKvep8xxKddcsklRmpqapVtHTt2NNLT0y947OWXX248/PDD593H4XAY//M//3PWnxUWFhrt2rUzFi1a5NFreTOz7uNjjz1m9O/fvzqlejWz7uPgwYONu+++u8q2m2++2bjtttsueF5vVNv30TAMo6KiwoiIiDDefPPNGjmvNzLrPp5u//79BmAsW7bsgq/njcy8j7/2fUYtOT6srKyMdevWMWjQoCrbBw0axMqVK2v9/A8++CCDBw9m4MCBtX6u2mTmffz3v/9NcnIyv/vd74iJiaFnz568+uqrtXrO2mLmfezfvz9ffvklW7ZsAeD7779nxYoVXH/99bV63tpQV/exuLiY8vJyGjZsWKfnrStm3cezyc/PBzjvPt7K7Pv4a99n6tUq5P7m4MGDOJ1OYmNjq2yPjY1l7969tXru999/n++++441a9bU6nnqgpn38eeff2bmzJmkpaXxl7/8hdWrV/PHP/6RoKAgbr/99lo9d00z8z4+9thj5Ofn07FjR2w2G06nk4kTJzJy5MhaPW9tqKv7mJ6eTosWLSrfPMz8/1cbzLqPpzMMg7S0NPr3709iYmKNnbeumHkfa+J9RiHHD1gslirfG4ZxxraatGvXLh5++GG++OILgoODa+08da2u7yOAy+UiOTmZF154AYCePXuyYcMGZs6c6XMh5yQz7uO8efOYO3cu7777Ll26dCErK4tHHnmE5s2bc8cdd9TquWtLbd7HKVOm8N5777F06dIzfofN+P9Xm8y6jyeNHTuWH374gRUrVtTIOc1S1/expt5nFHJ8WOPGjbHZbGek6f3795+RumvSunXr2L9/P0lJSZXbnE4nX3/9NdOnT6e0tBSbzVZr569pZt1HgGbNmtG5c+cq2zp16sSHH35Yq+etDWbex0cffZT09HRGjBgBQNeuXcnOzmbSpEk+F3Jq+z6+9NJLvPDCCyxevLhKR04z///VBrPu46keeugh/v3vf/P111/TsmXLX31OM5h1H2vqfUZ9cnxYYGAgSUlJLFq0qMr2RYsW0a9fv1o779VXX8369evJysqq/EpOTubWW28lKyvLpwIOmHcfAVJSUs4YWrplyxYcDketnrc2mHkfi4uLsVqr/jmz2Ww+OYS8Nu/jiy++yHPPPcdnn31GcnJynZ3XDGbdR3C3cowdO5b58+fz1Vdf0bp16191PjOZdR9r6n1GLTk+Li0tjdGjR5OcnEzfvn2ZPXs2OTk5pKamAvD444+Tm5vLW2+9VXlMVlYWAMeOHePAgQNkZWURGBhY2aJQVlbGxo0bK/87NzeXrKwswsPDSUhIICIi4oxny2FhYTRq1MgnnzmDOfcR4E9/+hP9+vXjhRde4Pe//z2rV69m9uzZzJ49uw6vvuaYdR+HDBnCxIkTadWqFV26dCEzM5O//e1v3H333XV49TWnNu7jlClTePLJJ3n33XeJj4+v/GQeHh5OeHi4R+f1NWbdxwcffJB3332Xjz/+mIiIiMp9oqKiCAkJqavLrzFm3Mcae5+p1lgs8Ur/+Mc/DIfDYQQGBhq9evWqMkzxjjvuMC6//PIq+wNnfDkcjsqf79ix46z7nP46p/L1IeSGYd59XLhwoZGYmGgEBQUZHTt2NGbPnl2LV1n7zLiPBQUFxsMPP2y0atXKCA4ONtq0aWOMHz/eKC0treWrrT01fR8dDsdZ93n66ac9Pq8vMuM+nu3ngDFnzpzavdhaZNa/x1NdzPuM5UQxIiIiIn5FfXJERETELynkiIiIiF9SyBERERG/pJAjIiIifkkhR0RERPySQo6IiIj4JYUcERER8UsKOSIiIuKXFHJERETELynkiIiIiF9SyBERERG/9P8BDroPMhzWvRQAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "index = 233\n", "\n", "fig2 = plt.figure()\n", "\n", "domain_per_index = {233: ([0.1, 0.14], [0.42, 0.44]), 394: ([1.2, 1.5], [0.17, 0.2]), 458: ([3.2, 3.6], [0.3, 0.5]), 471: ([3.75, 4.05], [0.45, 0.75]), 485: ([4.14, 4.28], [0.7, 1.1]), 495: ([3.9, 4.4], [1, 1.5]), 506: ([3.2, 4.2], [1.4, 2]), 545: ([0.9, 1.5], [2.94, 3.04])}\n", "\n", "rgb_color = col.rgb2hex(colors(100))\n", "rem_bounds = []\n", "\n", "y_num = rk4_t(eom_volterra, initial_time, ic, time_history)\n", "\n", "ax2 = fig2.add_subplot(111)\n", "ax2.set_title(f'{index}')\n", "\n", "for it2, y_step in enumerate(y_tm):\n", "\n", " if it2 == index:\n", " x1_tm = y_step[0]\n", " x2_tm = y_step[1]\n", " rem_bounds.append((x1_tm.rem_bound, x2_tm.rem_bound))\n", "\n", " ax2 = plot_n_to_2_solution_enclosure(x1_tm, x2_tm, ax=ax2, color=rgb_color, resolution=300)\n", "\n", "\n", "xlim = domain_per_index[index][0]\n", "ylim = domain_per_index[index][1]\n", "custom_limit = None\n", "buffer = 0.1\n", "if custom_limit is not None:\n", " xlim = [y_num[custom_limit, 0] - buffer, y_num[custom_limit, 0] + buffer]\n", " ylim = [y_num[custom_limit, 1] - buffer, y_num[custom_limit, 1] + buffer]\n", "\n", "\n", "# Monte Carlo\n", "n_samples_mc = int(1e3)\n", "\n", "seed2 = 2\n", "rng2 = np.random.Generator(np.random.MT19937(seed2))\n", "ic_mc = copy.deepcopy(ic)\n", "\n", "ic_mc = sample_on_square_boundary(ic_mc, domain_size, n_samples_mc=n_samples_mc, rng=rng2)\n", "\n", "for j in range(n_samples_mc):\n", " print(f\"It {j+1}/{n_samples_mc}\", end=\"\\r\", flush=True)\n", " current_ic = list(ic_mc[:, j])\n", " y_num = rk4_t(eom_volterra, initial_time, current_ic, time_history)\n", "\n", " x1 = y_num[index, 0]\n", " x2 = y_num[index, 1]\n", " ax2.scatter(x1, x2, c=\"r\", s=0.3)" ] } ], "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 5 }