{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PINTS: A very brief example\n", "\n", "This notebook contains a longer version of the example shown on the [PINTS repository landing page](https://github.com/pints-team/pints). In it, we quickly showcase some PINTS functionality, but without going into detail. For a more thorough introduction, please see the [full set of examples, here](./README.md)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimisation, using a custom model" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pints\n", "\n", "# Define a custom model, in this case a variant of the Hodgkin-Huxley\n", "# model of ionic currents, after a single voltage-step\n", "class MyModel(pints.ForwardModel):\n", " def n_parameters(self):\n", " return 3\n", " def simulate(self, parameters, times):\n", " tau_m, tau_h, g = parameters\n", " V = 20\n", " m0 = 0.001\n", " h0 = 0.999\n", " m = 0.999 - (0.999 - m0) * np.exp(-times / tau_m)\n", " h = 0.001 - (0.001 - h0) * np.exp(-times / tau_h)\n", " return g * m**3 * h * (V - 50)\n", "\n", "# Instantiate the model\n", "model = MyModel()\n", "\n", "# Load experimental data\n", "# For this example, we'll generate synthetic data with added Gaussian noise\n", "def load_experimental_data():\n", " times = np.linspace(0, 20, 1000)\n", " values = model.simulate([0.5, 3, 4], times)\n", " values += np.random.normal(size=values.shape) * 3 \n", " return times, values\n", " \n", "times, values = load_experimental_data()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the noisy data\n", "plt.figure()\n", "plt.plot(times, values)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/lib/python3.6/site-packages/ipykernel_launcher.py:15: RuntimeWarning: overflow encountered in exp\n", " from ipykernel import kernelapp as app\n", "/usr/lib/python3.6/site-packages/ipykernel_launcher.py:17: RuntimeWarning: overflow encountered in power\n", "/usr/lib/python3.6/site-packages/ipykernel_launcher.py:17: RuntimeWarning: overflow encountered in multiply\n", "/home/michael/dev/pints/pints/_error_measures.py:297: RuntimeWarning: overflow encountered in square\n", " return np.sum((np.sum(((self._problem.evaluate(x) - self._values)**2),\n" ] } ], "source": [ "# Combine the forward model and experimental data into an inference problem\n", "problem = pints.SingleOutputProblem(model, times, values)\n", "\n", "# Select one of PINTS' error measures, and run an optimisation to infer the parameters\n", "error_measure = pints.SumOfSquaresError(problem)\n", "\n", "initial_point = [1, 2, 3]\n", "\n", "optimisation = pints.OptimisationController(\n", " error_measure, initial_point, method=pints.XNES)\n", "\n", "optimisation.set_log_to_screen(False)\n", "\n", "parameters, error = optimisation.run()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the quality of fit\n", "\n", "plt.figure()\n", "plt.plot(times, values, alpha=0.5)\n", "plt.plot(times, model.simulate(parameters, times), lw=2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimisation and sampling using a loglikelihood" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "log_likelihood = pints.GaussianKnownSigmaLogLikelihood(problem, sigma=3)\n", "\n", "optimisation = pints.OptimisationController(\n", " error_measure, initial_point, method=pints.XNES)\n", "optimisation.set_log_to_screen(False)\n", "parameters, error = optimisation.run()\n", "\n", "plt.figure()\n", "plt.plot(times, values, alpha=0.5)\n", "plt.plot(times, model.simulate(parameters, times), lw=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Set up a sampling routine with 3 MCMC chains, all starting from the same point\n", "mcmc = pints.MCMCController(\n", " log_likelihood, 3, [initial_point]*3, method=pints.AdaptiveCovarianceMCMC)\n", "mcmc.set_max_iterations(2000)\n", "mcmc.set_log_to_screen(False)\n", "\n", "samples = mcmc.run()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use a diagnostic plot to check if the chains have converged\n", "import pints.plot\n", "pints.plot.trace(samples)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZTlTm+Hw+LBYLNpuNVColVvQul4uOjg4WFxeJx+M4HA7W19dpb28X0ZFIJIJOp+PmzZti0rLb7bz55ptUq1UODg4ol8usra2xt7dHW1sbwWCQdDotIi1zc3MMDAygUqlOpPACgQAzMzO0t7cTCoUYGBhgZ2eHYDBIsVjEbrezvLxMJpMhk8mgUqnQ6/UYjUZqtRqJREJEXl588UUikQjhcBidTifO1RNPPMHAwADFYpFkMkk6naarq4tIJEK1WmV3d5eJiQmWl5fZ2tqiUqlw9uxZXC4XwWCQeDyOSqUiFApRV1fHwcEBm5ubHB4eEo/HMRqNuFwu7ty5w9LSEm63m6GhIVpbW1lbW6Ojo4NoNEqpVBLaoJaWFkFW8vk8bW1t+P1+jEYjWq2Ws2fPsrOzQ7FYZG9vD71ez+c+9zmKxSI3b96ko6MDtVpNuVwmmUwSi8WQJEm8lgXNer2ehYUF7t27R7lcplKpUCqVaGtrY35+HoPBQKFQwGw2s7+/T29vr7i3HxTpLi4u0tXVxdraGru7u8TjcVwuF9PT02SzWSYmJrhz5w6BQICzZ88SjUbZ2dkR0SatVsvS0hJjY2OEQiER2RoYGKBQKCBJEqOjo6TTaVKpFKlUimKxyODgIE899RS5XI6VlRWGhoaIxWI0Nzezs7NDKpVibm4OvV6PTqcTv7utrS16e3txOBwAQvPzduLzx4FPvchYpVK9rFKpVlQq1ZpKpfo7H/X3ZzIZLl++LMKt7e3tLCwskM1mhW+AYseu4LOAx+GL8n738U4+Mna7/ZH9NB7VuE0eo9PpxOPxMDs7i0ajecvv2ev1Mj4+zuzsLGq1mnQ6jc1mExPQ5uYm8/PzIgVjtVrFPuRU0IULF+jp6aFUKlEsFkVaZ2trC0mSCIfDLC8v093dzfXr1/nOd77D1NQU4XAYv9+PxWIR1VnT09PU19dz9+5d6uvr0ev1uFwuJEkiGo0KQa1Go2FxcZGenh5SqRQWiwW9Xs+rr77Kt7/9bZaWlnA6nWxvb+N2u7l16xYbGxtUKhXsdruYlKvVKgDd3d2MjY1hNBrJ5/MYjUZMJhP19fXAETn1eDwioqHRaPD7/dy4cYPvfve7HBwc4PV62d/fp1wu88Ybb5xI7Wu1WgwGA1euXCGdTpPJZFCr1Wxvb9PQ0ACAzWYjGo0SDodRq9W4XC7a2trIZrOYTCZGR0dxu92kUilBiFpaWlCpVOzs7FAqlUgkEuTzeQqFAjabTRDQ0dFRbDYbdXV1NDU14XA4aG5uplwuA0fpvIaGBqanp5mfn0ej0VAoFHA6nZTLZdbX1wmHw5w7d47p6WleeeUV5ubmaG5upru7m9bWVkqlEn6/H4fDQSaToVarEQ6HGR0dFeLfa9euUavVxL3l8/mYmJgQxCIQCLC8vEwgEMDpdAqPoL29PdLpNAcHB8TjcbGPjo4OpqenaWlpoVKpCA3U6OgoAJ2dnfj9fuCoHD2RSBCNRhkeHkan0wkfodOnT1OtVoXYWi5vn5ycFKnU5uZm6uvrqdVqXL9+nc3NTTY3N5mamqKxsfFD83p6VHwiRcYqlUoDrAKfB4LAbeCvSpJ07+22/zBExolEgkuXLrGysiJCkZVKhVgsxtmzZzEYDJ/4PhwKFDwKHhSlPvj6w9jH8chCIpFgamqKSqWC2+2mv79ffDaZTD5USPmo33s8CuTz+TCZTNy7d4/JyUkh/FSr1SLlpVar8fv9nD59Go1GQygUorm5mfn5efr6+sQ+NRoNfX19zMzMoNVqRQRJ3kc0GsVisaBWqzEYDGi1WlFx5Xa7UavV3L17l7q6Ourq6tBqtbhcLmKxGLFYDK1Wy+HhId3d3SQSCRGFSiQSlEolbDYbOp2O1dVVseAaHR0VaSej0cjS0hJGo5Hnn3+ehYUFNjY2kCQJm83GyMgIqVSKbDZLoVCgubmZarVKf38/4XCYYrFIrVYjmUwCR2XUVquV0dFRYrEYd+/exeFwCLK3vr6O3W7H5XIxOjrK5uYmwWCQWq0mImQejwe1Ws3t27epq6ujXC7T399PKBTi3LlzWK1WfvjDH1IqlUTEoaOjA6/Xy+zsLHV1dXg8HnK5HF1dXSItVywWGRoaYmFhgcPDQ1KplEjxuVwucrmcOCfj4+MipSSn55qbm/H7/dhsNiFo3t7eRpIkYrEYHR0dPP3003zve98jkUig0+kYGxsTFUVarZaenh4mJyfZ2dnh9ddfF2TM6XTS3NxMW1sb29vbQvw7MTFBKpXCbrfj8/kYHR0llUqJ6rbd3V1x7oeHh1lZWSGXy6HX6+ns7BRanebmZorFIplMhsHBQfb397FYLIRCISYmJjAYDEJiYbfbWV1dpVQqsbOzI8al1WrF702tVgsyVC6X2dvbw+l0otfr6erqolqtsr6+Tnd3NzabjR/+8IdUKhUAJicn6evrOyGg/zhExp9UgnMe+IYkSV+8//p/ApAk6bffbvsPq4rK+3e+R/TP/wn5lWs4L/4if/ybP41arWZtbY3z588zPj7+2L9TgYKPA/Lk39bWxu7u7kPJzdtVL8mrz5GRkYfu4zgRCYVCrK+vI0mSqBYBCIVCJBKJdx3Te62i2tzc5LXXXqO7u5v19XXcbjfRaJT29nYKhQKdnZ1sbW2JkuJyuczm5iaTk5NCy+HxeES0xGq1YjAYaG5uZmlpiUgkQmtrK2q1Gp1Oh8FgQKPRsLe3R7lcplqtYrfbGR8fx2az8f3vfx+NRsPh4SGVSoVKpYLBYKC1tVWInnd3d2lubkav16NSqSiVSnR0dJDP54XOQ5Ik3G43Gxsb6PV6LBaLEO7KotJ79+5Rq9WoVqsUCgXUajUDAwPs7+9jNpsJh8O0tLTgdrtpaWnhxo0bNDQ0iGqkTCbD5OSkiJLV1dVxeHiIy+UiHA6jUqnY39/H5XIRj8dF9U1TUxP5fB6LxUKxWCQWizExMSGiaaurq9TX11MoFOjo6GB4eBifz0d9fT1+v59IJILFYqFUKiFJkiBTLS0tjI2N4ff7SafTnDlzhkwmw2uvvUZnZyc7OzuYzWay2SwDAwNsbW1RV1eH2WwWuqVUKiXIT29vL5VKhZaWFhYWFnA6nZRKJQ4PD9na2sJms1FfX084HBZGhJIkUa1WUalUSBLEE0nOnHmCgeExXrs8ReHQwG2fj71SjmSjm5LhKIpSToapxO6hdfShq28D1NRKYQoba6j1JkzdZ8Q9m1+9Qq1UwNz/FGqDCVBRDK5Qjm5jcPejb/ICUElHyK/eQmttwDxwTnw+dfM/Qw1sT/0UKrUGgNzyFOXIOubBp9E39gJlSuEA+eVr6Ju6sAw/C0CtXCL5xh+h0upxvvCLJ/ZZiYewPfVT6FzNgJZ84Db55TcxdZ/BMvQCAK//9ZG3rRb7oHhUgqN9bN/4eNEG7Bx7HQSeOr6BSqX6OvB14LGXg8oPTQCpdsRI9a1D/MqlQ/6vL9s5f/48fr8fjUYjyvkUKPg047j7qNfrfejDSI5yHI+cBINBPB7PiX28GwGRU1Nyuanb7cZisYhVXyKREKs/OV314IPy+G//+Hcdt5eX/WasVitqtZq2tjY2Njaor69nZWWFzs5OZmdnGRkZYWtri87OTvFQBshms/h8Purq6tBoNCwsLNDa2srFixfx+/2kUinu3r2LxWLBYDAQj8dpa2sT2hSdTofX62VhYYFarYbRaGR/fx+VSkW1WhURBYfDQS6Xw2g0ikhNJBLB5XKRSCTwer0nIjKdnZ08++yzXL9+nXK5zM7OjijtlonV1tYWn//85wkGg3R3d3Pnzh3UarWIAi0vLwsC0t/fTzQaJRQKUSwW6e7uFo62BoMBj8dDKpViYGCAtbU19Ho9DQ0NIp0WDAbp7Owkk8mCWks8UyJzqOfW3SCRdI2UwUjS3g64kF5PUwjMAyrM/c/B/iFgJffKFaqZ/4h58AW0tgpgp7i9TSEwhaFjBHPvWQirqGRiJN/4p2gsLpwXvwro4fYi0e/9UyrpCA1f/ttorT0ApG78CTnfP8N27qeoG30RgOL2dSL/6bcxtI/Q9JN/FxJqCGTZ/t9+BqlcpONvfxu1rgZoiPyn3yW/co2GH/8tLENuoJOsL0Dse9/AMvICDV/+HwAV1WKO4D//TVQGC56/9W2gCYDwD/4zpd17NP/sP8TYcXSv5pevknzj32F76qdwvvA1ACqZQ6L/+R+iq+84QXASV/49lWQYQ/tp1Ib6+5+/RWbmz3C++CvomwYBKMdjJC79AcbOccwDz4vPp6b+GKlyiHXyJwTByS9PkV+ZQtfQdZ/g6ChHQ6RvfgfLyEUsw0fniWqJzMz3UBksOF/4a2KfhbVblIL3sIy+iM51pLMpR7bI+a6gMTsFwfkwyM17wSeV4Kje5r0ToSZJkr4FfAuOIjiP88vlMr1/8UwNnvlN/sYPQ2gsbqBGXV0dHR0dbG1tsby8/JaafwUKPo14UMficDje9b4+brHv8XiETk02UltcXMThcLyFCB33ZMlkMmi1WiqVCjabTfhuVKvVE0TD6XQK8efa2hq9vb3Ca6WlpUVoYOQKqON+Hcc9RWTipNPpREqns7OT7e1t7HY74XCYixcvihJe+fjHxsa4cuUKJpMJSZJobGxEkiTsdjvNzc2Ew2FMJhMajYbW1lay2Szr6+s0NjbidrvRarX4/X6amppEuXIoFOLOnTtYLBaam5vJ5XJks1kRDdHr9cIUrq2tjenpadbW1mhsbMThcIjS5mQyidfrZX19nVqtRq1Wo7GxiUgsQThRoL5nkGtvrvPKG0tEyKNvHALUkFGRn7pFtZDGMtiF2mCDLcivblDcmsfUfw5T5zjQT8kXIHH599A3enF9/teAFAC7//oXqZXytP3a76HWWYFBIr/3j46RgecAyAauEPvzf4Jl+AUa/qvfAMxI5SyR73wTld6Mp/854MjBOHPn+5SCi+hbBtDajnQ4pb110rf+EzZJhbn3PADSYYnc4utoXW04L36NoylDorS7RCWxh1QuI08j1VyScmyHWj4ttkOqUStkqJVy9+/o2tF5kaog1Y7+uz/lqLR6VDrDiVlJpTOiqXOhNpjvvyOhUqvQutrvR1mq99/XoGv0gFRDrf//39c6mjF2nUbrbBXvqQ1GzANPo6lzARXk6dnc9xTVfAq1Xnf/fTC09SNVvoCusR040gxpbQ6sZ/4SWqdbvAc6rGe/ArUKKrUaOAT0mAeeQtfQjq6h4/6xl9E3d+N4/ufvv1cCDKi0Es6XvoZKowUKgAEoYXvyy1RHLqB1OoGjc2jqGUZj+TV0jR1ABiij0bjIZDIKwXkAQaDj2Ot2IPQO2z52yO6TGxsbuFwu/tUX3Px31yRAw1/+4wD/4pkdjEYjY2NjH+vFU6Dgg+B4pPI4Ecjn84+kwTku1u3v78fn89HZ2UkqlWJ0dFQQCqfTybVr14SJmNFoBBCOuFarlbq6OlKpo4mzXC5TLpeZmZnhzJmjleytW7doaGjA6/Vy+fJlJEkik8lgMpmYn59/y/fabDYWFxfp7u4WY21vb+fKlSs0NzcLYznZ3EwuS8/ljh7W8u96cXGRaDQq2jAUi0VGR0cJhULMzc2xsbGBwWAgmUyiUqlobGwU+9vb26OhoUG4BHd3d2M2m7lz5w7RaBS9Xo9WZyBzqCKBk2vBFLtrGmIJFSpdFX1DH8RAqu6QmZlBqlWwnxuHDQANiTf+lMM9P86LX0Pf3A9A+od/TuLKH2B74i/hfPGXIVKkHN8l9Pu/jtbZStvX/424fok3/ohKfBdj+9gRwQFKuytk7nwPja0RU+eRm61UPqS0swgPyBmq+TTSYR6qZdAZARUqvRGV3nSfIByJXjXGOnSNnWis9eI9ldaAqe8p1Dojx8mAefBp9K09aKwO5Ene2DGI44VfwtDajzxBa+rqqP/Sr6M2WoAiR2SkRv2X/hpSRUJjrdFIhGZStJ47jfnCEF5vG7a6A3Q6LZvmKuZvfpPe3l40GoQQtv0/fvt+Sk5LIrF/VD3V/TNoND9332dni/r6epwvPM/aS233/X7K5PN56uvrCY18g56enmNl942Ezv4yDQ0NjI+Ps7q6yvr6OqXBIfbPuwDQav0Ui0VsbTZcT/8NVCpSWkPmAAAgAElEQVQVBwcbjI2Nsb29zWHXj5FMJjEak6jVR20ris4GePpFdDodlcoqBoMBface7dmfIBqNYrPt8uyzzx5V7X35SEBeKBTQ6/UEAgHGf+KnsFgsLC8vYzRKdHX14fOVaPyrX71vhLjO6dOnWVnZIu7oplKpoNMd+QuFw2FaTp3G7/djNmcolY5MEG1dNmKxdoaGBtFqtSSTSa5fv87nP//5d30OfZj4pGpwtByJjF8CdjkSGf+sJEmLb7f9h6HB2d7eJhAIUCgUGBoa4vnfnSZ18//lMLTMv/0Hv8WXvvQlhdgo+FRDdjptbGykv/9oglxcXESn06FSqWhpaREpoLfTtcgREpvNxs2bN+nu7mZvb48LFy7g9XqFJueZZ55hZ2eHW7du4XA46OjoYGdnh0gkIsSjDQ0NzMzM8Pzzz1NXVyf0LLKO5cyZM1y/fl1ES2RPmb29PVpaWohGozz//PNYrVauXLlCPp9ncHCQZDKJzWajr6+Pra0tURLt9XqFT0s8HhcCTY1Gg9VqxWq1Cg8UeZuOjg5yuRylUomenp4jnUZDE2Wtle20mqmtImuFPIcHO4AeY3sfR8t+Dck3/4hqLoHzpV9GrT8ieInLv0/23uu4XvwVLMNHKYXc0lWif/aPMPc/TeNX/i4AUrXM9u98BdQaPL/xHVSqo1DC/n/4exQ37tD0X/89TD1nAYnM7CvEf/h/UHfqZeq/+OtAjUo2zsG3/xe0tiaa/so3kKMViTf+gFo+hf2Zn0NrcwESxZ1lDvfXMLQPYmjpBiRqpQyH+yHUJi2jTcO8/FQDYx0udpan6XS34L1v2BcIBACEuV9jY6Ooejru03P69Gn6+vpIJpPMzMxweHhIR0cHgUAAt9stDOza29tJpVKcOXOG/f19AOEGHY/HRQ8ps9lMMpkU6T+73U59fT3b29uoVCpyuZzQP9lsNqH9kSQJl8tFuVzm8PCQZDKJTqfDYrFweHh4nyjY8Hq9LC0tCZ2WWq0WlXBOp5OGhgacTif37t2jWq2i0Wh4/vnniUajrK+vY7PZOHv2rBAQp9Nprl69SjweR61Wo9frMZlMQkzu8XiwWq3cu3dP9NWCo1SnvAg5LjR+4YUXiMVizM3NIUmSWKAnEgkuXrwIwMzMjGiBMTExwcLCAtVqlYaGBoxGo3Danp6exmAwEIvFKBQKAMJCIJ1OA4iWI7KgWaVSYTAYUKlU4t6cmJhge3ublpYWqtWqiKo+LnyqNTiSJFVUKtWvAz8ANMDvvxO5+bBgtVpF7nx3d5e/+LUJhv71L1MrpPnNK0m+9KWPcjQKFDxeyNGb0dFRpqamMJlM7O/vi748wIlKoeMRHtkj6nh+PZfLMT8/z/j4OMFgEEmS2N3d5ZlnngEgnU7z5JNPMjMzQyAQIBwOYzAYePbZIzHj7OwsQ0NDrK6uYrPZGBoaIpFIsLe3R2trK5IkUavVODw8FFVLkUiEQqHAzs4Ow8PD3LhxQ5jWySLS06dPE4lE+OEPf4jFYhE+KKurq9jtdkFmdnd3Qa0lWlCxvl5loZShaGwAbICK3JKPcuIOdWMvobW2wnqezOwK6Vv/GOvpL2F78iuAkXJsm/1//z+jb+6h9Zf++f2zLZFdeI1qNo79mZ+5n6pQUascUsslqRbSHEUgJDRWJ/qWXrSOFkS0Q6PGdvYrqHTG+/urAhKOC/8NtSe/jL6pDTN5zjuMDPzlZ7F85TSqWoVSaRW3281TTz0Pv/EGV65coaGhhtfrPfLB+eu/w/z8PDqdjra2NhYWFthr0KDVjmC1WikUdtFoNDQ2NtLY+DSdnZ3kcjkSiQQj3Q1Mdr9MKBTi3r17bG1t4XK5sFqtZLNZdDqdMLiTRdz5fB6Hw8Hc3JwobR8dHWVhYYFSqYTb7RYVQfX19USjUQwGA1tbWzQ1NXFwcCDEzIeHhwwMDLC7u0upVDoRAZTJkiwMl9s21Go1otEonZ2dTExMcHBwgN/vF9Vrcnm1HH0xm83o9XoRiTx37hwHBwfcvHmTXC7HwMAAL7zwApcuXeL27dsYjUZsNhsGg4GrV68K12nZAK+xsZFXXnlFOBtrtVpqtRrlcpmmpibhr7Ozc5Qh6Orqwu/3U19fz+HhoTCBVKlUmM1mPB4POp1O6NQaGxvJZDLU1dVx6tQpFhYWuH79Onq9nra2NpaWljCZTKyvr58QmRcKBdbX14GjKq10Oo3D4eDu3bvCL8fpdOLz+YS3kZxalo0izWYzuVxOmDbeu3ePlpYWzp07Ejt/XJmOTyTBAZAk6RXglY/jux8sNVWpVFy5cgXX576Ops6FztnO9PT0W3qDKFDwUeK9VBA9uK2sM3O73YyPj4sHNHCit8zbVTDJRnnyg29zc/Mo7D0+TiwWE0Jj2S12Z2eHM2fO4PV6yeVy/OhHP0KSJIxGIysrK2SzWbFKl7tJZzIZDg8PaWlpIZVKcfXqVbLZLB0dHcRiMWZnZ7Hb7Wi1WvR6/VHY/37Fy8TEBHq9nlQqxezdeRJlHb6oiRuJHBWtFXVAAto4PNgkd+9P0bnaqRt/CVBRzacJ/stfQG2w0PHf/z/i/GXuvEIpeA9j+zBa65E2RCofUknuUUlHxHYaixO9ewB9Q+exs6/CfuFnQaqiNhg4Sr3oaLvwc4y9/Ffot+VprgtiNup48md/DOv/+tPcvXuXYvGoJ9DBwQHGl36N5uZmZmZmUKvVZDIZms8clc0XCgUymQNRzTU2dlQEsbW1xdbWFolEAoPBwPDwMGazma2tLUE8TSYTNpvtRM8sl8slvHZkY7/Dw0Psdjter1dE/jweD/v7+6LnVCwWI5vN0tDQwOjoKD6fTxBKuTXE3t4eXq+Xu3fvcurUKbLZLK2trcRiMUKhkGh34Ha7yWazxONxgsEgdXV1GI1GKpWK8MmJxWLY7XYikQg2m43GxkZhEjgxMUE4HBaEQHbrLZfLIkqj0+no6+sT5dCvvfaaiC5qNBoMBoOoErNarSwsLNDc3ExDQwONjY3kcjl2dnaE2Fo265MjVWq1WphAyr405XJZEBw56iFJEvv7+xgMBgwGgyCI8r5DoRBnz54ll8uRz+dJp9OcP3+eVCol9h2NRlGpVHzxi18kl8vh9/tFSb3dbufmzZtCz3X58mVqtRqjo6NCHN/S0kJTUxMjIyNsbGxw8+ZNNBoNnZ2dRKNRYrEYw8PD4v6T7QQMBgNWq5VUKoXD4UCSJEHGZNO/46L/jxqfWILzcUKu8JAvilzZYBl+4cR2siGX1WpVmm8q+MjxdpVMcsM7OQwv40EBrgx55WY0GikWizQ3N4u/v1NVldw9eWZmhr29PQKBABcuXMButzM3N8ebb75Jd3c32WxWPKwXFhZYWlpidXX1fj5fh1arFQ6tGo0Gm+1IB1Iul8WEqNFomJ+fFyLjsbExVlZWjlJc8SR1HcP8mS/DWk0L6AAVmd/9HpXUAfZnfha1rhVQE/3zf0Ju8Qr1X/rb1I29BGioJPdJ3/wTTL1PUjf+OYD7mg4ACalWFlUnlqHnMLQPoalzchRB0WIZfQZT7whPNjTwxTG4ODlIZN+O7qv/jnQ6LYji9PQ0u4NnyOVyPPFEl/CbMZkaaW5u5u7du+zt7dHtHWF/f1+kYFwuFyqVSlybra0tIah+/vnnhb8MgEajoVQqkclkhHappaWFH/zgB6TTaZxOJ/l8nvn5ebGqXlxcxO12U6vVWF9fJ5vNivL4eDzOc889x9bWFoVCgfHxcbEKP669kl2NAb773e9iNptpbm5ma2uLl19+mVQqxcrKCpOTk6IcfGNjQ9wfZrMZr9fL1tYWra2ttLe309LSwtzcHBMTE6L8PhAI4HK5CIVCNDU1YbVa0Wg05PN5nE4nhUIBlUpFX18fFosFu91OPp8X7RdkYiM7++ZyuRMiebnKbG5uDqPRiCRJ1NXVUSqVMJlMlEolyuUyRqORl19+GafTyfz8PLdu3cJsNtPU1ITRaCSZTFIoFKjVaoKUNTc3k06nRa+yra0tkskk7e3tPP/889y9e5fd3aNomeyDlM/nqVQqtLa2cubMGXZ3d9Hr9aKk/Xhlodxzy+12C7F6JBJhb2+PU6dOEQgERM+0RCIh7AaCwaAwg5Q9qDY3N3nzzTeJRqPCz+f69euiSlLuYaXT6VCr1SIqNzo6yvz8PJlMhqamJpxOp/DBUaqoPmF4kKxYrVbOnz/P7+gX+Y3bR+/Jxl42m008yBQo+CghVzI9GGkB3raEWxbgytv29fVx/fp1VCoVNpuNsbEx5ufnUalUqNVqUZr8dlVVbrebpaUlZmdnOX36NHa7nampKaLRqPBKOTw8FKXS8gSq0+lwOBx4PB7W1tZwuVyiWWEsFqO+vp69vb2jnjczC+zUXFwOOYnm9RwebPHNhSvom7qAXg6jOxz8g6+hsdhp/eo/uz8yifTNP6WS2qdu/AuoXW5AQmNxojZYkKpl5NSPrsmL47mfR9fYyRFpqaBS5/nx//Gb9OmLjPSl2AvtYjabafuVF4XuIJncQ6VS0dbWxtZWAa22wLjXxZuvX+app55ie3tbONXKWh45BbO8vMzIyAiTk5PC9bdarYpmkrIfzOnTp8lkMiL6lcvliEajAAwMDIjO43JFVSQSwWQyEQ6Hqa+vF2kfm82GSqUiGo1yeHjIE088QSqVEhNkKpXi+9//Po2Njbz44ov4fD4ROZMjOtFolFQqJXpJJRIJ9vf38Xg87O7uUl9fTzqd5rnnnmNhYeFEiX0wGGRgYIBgMEhbWxuLi4t0dHSwu7tLT08POp2O3d1dOjs7uXDhAnC0wLxw4YLoqZRKpTg4OGBrawudTkdPTw/9/f0Eg0EuXbpEf3+/aGkhtx1oamoinU7T1NR04jcjRwuDwSBut1sQtYaGBtbX1/F6vaRSKTo7O5mfn8disZBMJqmrq2NycvJEJ/T9/X1RzSZrzmTNVlNTE11dXVQqFfx+vyBtPT09bG5uCpfjTCZDQ0ODILqyc7acpjt//jx2u51MJoPb7cbtdgt/KLfbTVtbm2j82tfXJ3yD5NTu6uoqkchRhNFqtZJMJunv7yeRSIjmoWNjY+RyOaamptjb20Oj0fCFL3yB9vZ2rl27xvnz59nY2GBnZ0fct3a7nUAgwOHhIQ0NDbS2trK5uUm1WqWjo0Mcd19f38daiPOJFBm/V3xYRn/wVsfVwV/9F+T916kbe5o//IVzSppKwQfGezWrexAbGxtvcfs9bty3uLgomh3K29bX14seOIlEgpaWFrq7u4VY9PiEI2sOXnzxRdGnqFarsbq6iiRJRCIR0ZvmueeeE2mMqakpYZZXLpeF7kBuxFirgbGlk0ubFa6GDzmS20F24TLFnUVskz+OvumoCio9/WckLn2LulM/Rv0X/wagoppLEvyXP4/aZKPjb/7fyMQlfes7SNUydWOfQ1PnAA5pkFI8by3SaiqjUUNDQwPhcBibzYbVamVvb49CoYDH4yEcDqPRaCiXy5jNZlEaXi6XKRaLIjqmVquxWCzE43F0Op3oEi1P+HJ7l3A4jMPhEJEru90uJiN5pdzX18ef/MmfiG7TBoNBpJFCoZCIEh+P0sFRZG5ubk5E0Px+P2tra1QqFaLRKOfPnycYDIpeUF6vl7GxMUE4dnd30el0otHlnTt3hEPu9vY2zzzzDKlUiuvXr4vJVn7W2mw2YrEYkUiE06dP09HRwauvvsrh4aFoHCofp6zd8Xg83Lt3T3gOtbS0EIvFhDD9OI47T8/Pz5PP54XYWybr9fX1QjTe1dUl2mVsbGxgsVhEZMLtdp84l1arVRAFjUbD1atXGRkZwW63i0ikbJxosVhIp9N84QtfEPe2fA3kNhGvvfYa7e3toleYHGnxeDxC+1WpVIR9wpkzZ5iZmSEajYpzLC8SarUaDocDm80m/KEetCORj1M2wlxbWwPAYrFw7949cU3lYoH6+nrRq21jYwOHw0F/f/8J1+br169jMpk4derUiefIcR8pmbTLFYZwtNiZn5/n8PBQpPyOp8A/DK+4T7XI+JOE42mATCZDYX2a7N1X0dQ56e39eeBoglJSVAreL94p1fQoD4Z38q85btxnsVjw+/3s7++TTqdpbm7mxo0bonTZ4/Gws7PD3bt3yeVyQmAfDAZZXV1Fr9ej1+tFSnZpaYlgMMhLL72EJEmEQiGy2SwXLlwQkR+n08no6CiJRAL/xh5LBRu3K1aqhTLaYA44Eg7v//ZvUYkHafvVf4tKqwEkChuz5JfexNgxej9aA7oGD4b2YXTOFo4EuSrUZgvuX/1XjNY7+MkJGGmvZ/nePbIt4zidzvtW99vC/bdWq1GrShgNZnZ3dxkdHRW9gSRJ4tSpU2QyGc6cOUMkEmF3d5e6ujqGh4e5d++e0HC0traSz+ep1WpIkoRGo0Gj0bC9vc2ZM2cEufH7/aIjt+wYDAiBtNvtFgukRCJBZ2cndXV1bG5u8vTTT4v35dU6vDVqt7i4eIIcyBGPZDIpUkVyRESOgASDQWw22wlSfPPmTZaWlnjiiScAxGSYyWTEvqempkTzxL6+PhYWFkQJvaz5kdM6sluyrO0pFAo0NDQIrcfq6lFpcyaTYXx8XESkjiOTyYjzaDKZGBsbw+fzEY/HWV5eFv5Lb3fvm81mNjc36e3tPdHi47gBZCKREM/1Z599ltXVVTo6OrDb7UxMTLC6uorH46G3txefz8fMzIyIphxPu2QyGcbGxpidnaW9vZ0LFy4QDAaZmprCYDCIhcLly5dxOBzY7XYcDgdDQ0Osr68Tj8dFCblGo2FwcFD0B5OF0+/Ug00eh8Ph4C/+4i/Y3t5meHgYv98vvJokSaJSqYg0odwXy2azMTg4yL1797h7964oOlhbWyOfz4t9P5ielnH8+dTV1fWWRZrsdfVxQiE4D8HxB4pGo8E8+CQaaz2m7jP4fD6MRqOSolLwgfBOqaaHRQZlsaccnXE4HGLFK6+YvV4va2trpFIp4etULBYFiZG1Ikajkdu3bwsjvEgkwuLioojkrK6usri4yJkzZ1CpVCI6IXewbmtrY2U9xKVd+IObBxQSIVRqDTpXK+CiFA4Q/sOvomv04v7aUXWRSqWmmolQzcYpJ/bQN3YCEnVjn8PoGcXQfuTQ6iLOy2dbab3w36LVqLDbM2g0GorFIm53L319fQSDQdrdbsKhkAj9VyoVUbaq1WpF5YecwpAkSTTPbW1txWAwiMaCbW1tWCxHepyNjQ3R1bynpwdJkvD7/aIVQWdnpzAPlNNTwWAQrVYrjPnkyIw8uZw9e/bEdZTL7eGoGaIcJclms7jdbjFRHCevy8vLNDY2nkgdyfeDHA2Qo3UajYYLFy6wuLiI3W5na2tLtNRQqVSk02mq1ap4psk9t+TJWXZRltM5CwsLGI1GLl68SDAYxGQysbW1xYULF0T/qng8Ti6XY3x8XBC06elpbDabEJM/8cQT7O7u0tFx3PbsCB6PR0QJZCIoF3xIkiTGd/zelyfdh5lWPkhS5PL17e1tOjo6BAGQv9fhcDA9PU0oFHrLwkNe3MrnMZlMkkql+LEf+zFyuZyItAwODorzII9VvrahUIhgMHgiSjQ9PS0q/R7Eg+OXe4nJGpl8Po9Op8NkMol7Xibe/f39pFIpfD4fDQ0N7O/vY7Vacbvd4vcSCoXek4nt2y3wP05xsQyF4DwC5NXgrVu3+LmObv6k/TQA0eiB6HqrQMEHwYOtEmTX2uNheznHL0+OmUxGTKZ2u12Y2c3MzACIyiWHw8F3v/tdyuUy8XgcgHPnzrG1tUW1WiUUCpFOpzl79izz8/O0trYSjUZFz5+dnR3S6TQGg4GlpSX6BwZ4dXaXP1opkc64OAwH0DfXobXZgTjp2e+RuPRvqJv4IvUv/zrA/cgLINWQJO4/SGs0/sRvoTaZ6LMa+YnuFMPeBvr7f4GFhYX77Qz2cTqdrKysYLDWUyqViMfjolKjr68Pr9crJvRcLieaOsrlt5VKRTSIXFtbE74l8XicfD7P8PAw9fX17O/vi+pItVpNU1MTgUAAlUqFVqtlcnJSTKQ9PT1cv36diYkJCoWCqPYaHR0VTsg+nw+PxyPK5+XJ9sHJ4HikAmBw8IjYzc7OCjfkWq12YgL3+XzCCVqOmMn3g7yf7u5uvF4vq6urYsKSxyWLzVUqFVNTU4LIXLlyhbq6OuCoI7rP5wMQPihy5Abgi1/8oiA+gUCA/v5+UaGVTCa5e/eu6CMlR6MKhQLZbBatVsuLL74oyMM7iVGtVuuJKFcwGOTixYtEIhGGh4dP3PtyX7MHIxvv1uLjwYrZjo4OkX46Lj+QX79TRMLj8Yj0j/wbln+7cvf2B6MfD6Z+5I71x7vSWyyWtyUPD/pR+Xw+Ll68iN1u59VXX0Wr1XLu3DnUajWhUIhoNEpra6volO71eslkMty4cYORkREqlQrNzc3iXpAjVR83QfmgUDQ4jwB5ZSTndH/l0iEAv9wKX/mcV6miUvCB8WCzS1kHIKd9UqmUeO31esXKdmRk5EQEYHt7m66uLiwWywmfmhs3bvD666+Lqhy5SaTNZhM+InILEp/Ph9Vqvd/40cRSWscPog2kkiEOwwHMfU+i0hgAiPzZN8kvvYHr5V/HOvEyIFHcWiD26u9iHngG5wtfBdRABap5frKpxJOeOizmo8/XajV2dnbI5XKo1WoRDQ2Hw6L3087Ojkh7yJ+RQ/12u53JyUnu3r3L/Pw8Ho8HSZIIBAKUy2Xq6urE+bh9+zadnZ0UCgVRAt3f3y/SarLBocViEX2wFhYWyGazWCwWce7kiJF8jXp6ekQl2XGNhty64sF/Ze3G8cnjuJ5B7s9VLBZRq9VCFCuToFQqRSaTERPagxO43A6jt7f3hPD8+IQqbyt7GskpomQyKaI6Tz31FKlUShRTyCZ7tVqNRCJBa2urEOOOj4+L6JU8pra2NiFafuKJJ4ROxGazicjhgz3D3u05+ihatfeqZ/ug+rfjeK8Na49/Rr5G09PT9yvsTI+s7zx+DNvb22QyGeGmLeu2jmuP3k6bd/PmTWKxGO3t7YKEv9/z8FHgU91N/L3iwyQ4D6YBNjc3eea3f0BpZwl9cxeL//QXP/UsV8HHiwfvMfmhl8lk2NzcpK+vj6WlJV544QUhuJSbLsqrSllcKne5Py62rK+vZ3l5WVRR7O7uioaLPT09oqFjJpNjNVbk1Wg90WyOcjyE0TPKEUGB3W/9CpXEHq2/9M/RN3cDKjKzr5BfmcL6xJcx958T2365PoNXHaa1pVGkXrLZrKj4kSRJOMbKFUCynkWuYhkYGMDn84kKoMbGRvb395EkCbPZTEtLCwaDgbq6Oubm5lCpVMI4rq6uTkSr5B5QLS0tvPTSSyI8L0dbjot35clJjoTp9foTGgpZcDw+Pi5KhdfX17Hb7cJHRJ5w5FW4TEJlgeaDUYYHJ7mpqSk0Gg1DQ0Mn0o7BYJBUKsXe3h5PPvkk4+Pj4v55cCLa2Nhgbm6O7u5usd07bXv8b/I5kMnI5OQkoVCIpaUl4vE4ra2tXLhwgVQqxRtvvEGlUuHs2bPinpOfw8ejLlevXqVaraLVarlw4cJbjvmz8Px88Hjey/EdP+8LCwvodDoGBwdPaIceJx4sSpCvm1w1d9wH65N6fRSR8WPC8TQAHJU9Zhcuk77+H7Cd/2kWF898Ym8CBZ9cHF91HU8tbG1tMT4+LiZYk8mE3++nvb2dcDjMxsaGiCTYbDamp6dRq9XMzMzQ2trK7Ows8XgcrVbLyMgI4XCYq1ev4nK5mJycZHp6mlgsRqlUolJV8X/ePOBu1UU1l7nf3FBFtZAl+L//Eiqtno6/9W1UmqO8vNF7morTjSQdOemCipd//Cc5q34Ss6ZEX9+RQPZIM6AllzsSe8oizM3NTcLhMIODgywvL1Or1chms0K4ure3J9I7ANevX8dgMOD1erFYLNy5c4fGxkby+bzo2q3X69ne3sZgMHD69GlmZ2dxOp3UajWee+45ZmdnhSHcSy+9JHQBcghenugfTBHK4zhuTy9XvsgprkQiIazv19bWRBpIJkwyiZE/fzzd8U6r/cXFRYxGo4i+OBwOkc6w2WwEAgHhNiunph7UOsjC8+7ububn50W7gXcTrz84Icuak+npaXp7ewXBlMuu7XY7dXV1uFwu9vf3T2hK5GOUYTKZRAsDGXJK6bOQBoG3amLey/HJ997S0hIqlYrBwcFHanj7fvBgUYLsh3Pcs+nq1avvKYL0SYZCcB4C+QFot9uFKZSxY5RKYg99U/dn6keq4KPD8copeUJMp9NIksTU1BRGo5H+/n6mpqYoFouEw2GhNRgcHBQT0O7uLpFIhJGREWG5fnBwwOjoKDdu3GBlZQW73U6tVuPqjTv84VwRvzQIqCEPpd1V9v/4b6Jv7qHl578JgMZkRd/Si9pgoVpI/X/s3Xl4W9WZ+PHvlWxLXiRZ3i3L+xI7XuIQhyTYQEKAAi2UAi20nbYsXX7dpivThWHo3s7QDYYW2k5baAkF2k5n6FAggSSATUhiZ3HsxPEW2ZEVb7FWS7Jk6f7+MPciJ85KnMU5n+fheRz5WjqWjfXqnHchLsUMRFl67S2sNXrIMuvJzJwiISGBUMjJxMQUubm51NfPDGfs7u5WX/xgpnFfR0cH1113HQcPHmTnzp0YjUaGh4fJzs5m7dq1HDx4kMOHDxMKhdBoNExOTqr5J9nZ2XR0dLBs2TKysrJITk6mra0Nn8+nNi6zWq0YDAYqKysJBAJYrVa0Wi0ZGRn4fD50Ot2s5/9YQYHyhz/25xIbiCh5IycKCE50RHFkQBVbMaW8sPj9fjUnKBqN0t7eTkVFBTabTS2Tjt0xUHaIYm83Go00Nzfj8XjweDzHXNNcL9BK1c2+fftmVdgov59Kgz8l+fbIkmDlOYrdzYld2/mQhHqmvJMkW6fTSW9vL37mLV4AACAASURBVJFIBL1er/Y2OtM7KHP9zsZ2JAcoKyujq6sLo9G4IH424ojqFChbe5u7/TxxYOY224/ePe+PKywsR07xVo4ETCYTIyMjTE9Pc/jwYYLBoNq9VxkUWV09MyeourqagwcP8vrrr5OQkKAe78THx+N0OgmFQkwGwuyIFtMenDkiCth24G5+Gp118Vu5MRAJ+rA/9CHis4rIvfMhJGnmiClODvJ+k4Oy7JmBliaTiUAgQG5urjrSQRm2d8MNN2Aymdi4cSM+nw9ZlgkGg1x33XV4PB7a2tqYnJzkyiuvVBuxKQm4Sunw7t27qaurU0c3hMNhVq5cqXbhPTJnZc+ePbz66qtkZGSQlJREXV2dmlxbVlamTv5WdkNij1yO/MN9ouOFufoMHSt3o7u7W238drwjhrl2cGJ7jCjXKJU0o6Oj6sR0JfdnyZIlapVNbCuLI9elHKMtWbLklI49jnV0sXHjRhISEqipqTkqxyf2hf5M5rcsVEf21AFm7bKdyefqRD+P08khOlfEEdUZFvsO7+o4O08cmNm6fm3HHq64pPYcr064kMS+ICnlvuFwWO1hEgwG8fv9TE1NUVVVpVadKImu1dXVatfgyy+/XD36GR0dZ1CbxwsTBYTGHPi730BfoEWfX8PMkZKGqaG9yJEQ8DFARqtPJv+Lf+QSfZirLHYsuZnATJmtLMsEAgGqqqo4cOAA8fHxRKNRJEnC7XarVUomkwlADWz0ej2NjY2zmtzpdDpaWlooLy+nv7+fhoYGDh06hMFg4M0332TlypVYrVY6OzsJBAJkZWWh1Wqprq5W8zpiX/i7u7spLCxUdxWUyp6SkhKKi4sZGxtTK26USjJlp+FEJcOxxwvKc3FkyfGxXnTC4fBxy5OV9R/5Tnqud+vKLoqyc+x2u9VrDAYDHR0danuBuXqWKI+lHKOdyrGHssbYJnnK41x11VV0d3cfNcbjyPs9X0uHzydH/u7B2xVWBQUFZ/S5Ot7P42R/Jy80YgfnJMz1Dq/+B68SnnCgSTRgf+Qj8/bYwvlrrndEsdVNirnetca+O/Z6vSQkJKgVQQcPHmTLli2Ew2G10kcZDKhU07S1tZGfn48xK4+PPrYDh+8wmvhENLqZEl/3G0/jev3JWaXa0XCI4MBu9NZyrs6Am2pNlBQXsnXrVvR6vZqUm5qaSnJyMuFwmFAopCYDK/ORlG7GjY2N+Hw+tVW8UmqqDORzuVxkZWVx3XUzU6d37dqF2+1m6dKlrFq1CpvNxpYtW9RkX+W4aWRkhOzsbEKhkFo5FHv8oVQJxR59bNy4kfz8fC699FL1Z6NUB8WWBJ/KO+JTSRw9lWtPdWdjrh2k491+Oms60vHWGFuJc76/0xdOzoW22yZ2cM6g2Ch7+/btZGZm4tz4X3h3PI95zd3YbJfP6k8iXBzm6kCs9JRJTk6eldgZHx+v/h4p3G43kUhETTAeHx9n//797Nu3Tw0YJEni4MGDrFq1Co1GQ3x8PH9u6eSXe/TI28eAMSY2/ArvjudJv+GLbw2ShMTyFUx7x0ladBkwzbuztFxTGo9GWkYoFEKSJK68okn9g7Zz507y8/NxuVzodDry8/PJzs5mz549jI6OUltbiyzLbN26lXA4zNKlS4mLiyMnJweHw8HY2BjXXXcdJpOJoaEh2tvbyczMZOXKlepjdHV1YbFYiEQiahNCJdkXmDXnRyl7j+3ZEvu8H9mjRBkjoTgTuwenkjh6KteeytqO1an6WLef7pqOdKw1Agvynf7FbqHutokA5yTE/vAzMzNpbm4mPqOQuNRc0MTNapQlXDyUF4zYd7MNDQ243e5ZiZ3KLoTH41FfxLu7u9U2+CMjIyxbtozW1la2bNlCdnY2ixcvJhqNsnnzZqqqqvjF+i5eGk8mONDOZNfrGFfcSnzqzNiCuLQ8pHgdEb+LmaMomcLMLP7pUx+gqqIQu91Ofn4+PT09ZGZmkp+fT0VFxaxKoIqKCnbt2qU2dBsdHSUlJYXa2lq190o4HCYQCFBRUYFOp0Ov19Pa2kpaWpoaDCmzmvLz8wmHw+zYsUOt1DhWgu6Rf0RjE3DneuE8W3+MT+Vx5mNNxzo2UErGT7aZ3Zlc0zsJmgThbBNHVKfBZrOx+rGtQAoQZfP/qz1qUJxw8ZjrqKC9vZ2dO3dSXl7OxMTErAZoRqORtrY2qqurKS8vV3NM4uLi1HlRixcv5uGNNt50JyHFJagt1Mf+99/xd72O+ap7MC6/GZCJhkJImgifq00mV+tUE26TkpJwuVzqTpLf7yc/P18NtCwWi/qC2dPTo+bP5OTk0NraSkpKCqmpqeqx2bZt20hKSiIzM1M9ijIYDJhMJrULqizLZGdnq1OHg8EgoVBI7aqsONl+LBfzEcixjg16e3spKyu7YI4TBOFME0dU86ioqIh/W9rJd3bOJG6K4ObiNddRAaC2te/p6aGiokLtfBsfH097ezspKSmUl5fj9XrJycmho6MDWYbXHRpeGM+GficTL/8Z354N5HzoR2pjvZTaq4lPs5BYvBQtHn7QYCLNZMTtdjM2NkheZeVMbo7RyIYNG7BYLGogYrFYSEpKUns6jY+PU1hYiEajUQOemfsZY9myZWq5KMy82F566aWMjIzgcrnw+XykpKRQVVVFUlIS+/btU2c3KbOalKobh8Nx1DDF4x3JiCOQGcfagZnrKHwhHCcIwpkmApzTsHXrVoKHB4ECZDnCb559jtuuuVxthy3eRZ2/5qM1+5G9UJQjn4GBASoqKujr66OsrIyNGzcyNTWFy+WisLAQh8NBNBrlqVd28pQjheDAXvSFdUiamanacjSCHAoQPNhBQnYpME1daQVX1sWTnBwiGBzAcVBPcHKmid+iRYvo7u5W+5TU1taqU4LT0tJISUlh8+bNakdkZcBfbM+X2JECy5cvp7e3l9bWVjUPxmazsX79eoxGI8nJyeqk8kgkovasGRoaIhAIAPOb9yIIgnA8IsA5RTabjb1795KVlcnhXz3M5L5X+df33YtZE1KrYITz11yJwcfq7noisS/GSuBksViIj4/nzTffpLS0FJvNhsViYefOnUSjUSKRCNXV1QwccvGNP/bgQwukMfKnrzFl30vWB75NYvEyQMK04haMl97E6tI8rs4YJxIJMzQ0hMGQSnx8PACBQACXy0U0GsXtdlNeXk5fXx/j4+MYjUby8vLQ6/UkJyfT3d1NQ0OD2jAw9vuPHVEQm9/h9/vVkQNOp5Oenh5yc3PJyspidHSUTZs2sXjx4lm5R3V1dYyMjMxZkn0iCzXZURCEs08EOKdobGxMHXLH93+LHJ5i2jWG3+9XW8EL56+5EoNP9/hDeTHevn07er2ewcFBzGYzmZmZTE5Osm3bNioqKmhvbycpKYmJCRe7gtn8+P9Gmdz3BsmLV6NJmPlfUF+0lMikE3l6Ztrv4kT49OXZaCWJaDQKpNPe3k5GRgaBQACdTkc0GiUzMxOfz8err77KlVdeyfDwMIFAAFmW1dwfr9fL9u3byc3NJRKJqE0GlefjyBEFsc+H0n5fKQ0H1HlCSkm8Mn3abrerw0GVqczKOAFBEISzTSQZvwP5n3sStHFoE5PY9KnaeRuOJpx5J+ohojiZIy2bzcaGDRuwWq1MT0/j9XoZHR0lJyeHwcFBPOF4nvRaAT2gYfhP32BqcA/p7/4SKTVXATLydJh4bZhvLdESCU+SkJBAXFwcPp+Pqqoq9uzZg8Viob+/n6SkJEZHR6mrqyMjIwOHw/HWzs7MDlJskrAkSTidTrX9u9JL58gdrJMJ9o73XAAXVB8NQRAuXCLJeB4pTcS0Kcof8ygdHR34/f7TOuoQzq6T6SGiMBgMc076tlqtDA4OMjIyovZ7eeWVV5AkCb/fT1xcHC/un2Sjp5jJva+RVJ6NNikRkEmuuhIAbXIqEOa90n4uqc0lLi4Ox9AgcXFx5OfnU1VVRTQaVY+7/H4/y5cvp7W1lbq6OvX3sL6+Ho/Hg1arJTs7G7fbzZo1a9izZw8OhwNJkli+fLlaxWW1WtWg5FQSek/1+EgcLQmCcC6JAOc0RKNRNm3axE2GDJ7zagAN4+OjAEfNzBHOL6dapWM2m6mpqTmqr42yCxKNRtU+SGVlZbS17eKvgXw8pAESh5//Ef79LUSDPkwrbgVkUpZczWX1S7k87TCy3E1OTi6ZmZnq6IKkpCTC4bB6NLRy5Uo6OjqoqanB7Xbznve8h8nJSaLRqNq0z2KxEAgE6OnpUUuyR0ZG0Gq1WK1WNBrNrITdgoICBgcHRUKvIAgLlghwToNGo2Hx4sVY8tw88W+/Zsqxn6kffYuSkhLx4nCeO50qnaKiIjwej9rXpqOjg8zMTPVzAH/66995bDSbqYNa4lIhzjjTtyal9mqmPePEp+UBU3wi7RDaqA+DwYDHM60mCx86dIjCwkIOHjyI0WhEq9Wqk6ndbjerVq1Sp4YrSc1NTU3q4MrGxkYAtTIKZuYiVVVVMTQ0RH5+vvr9Kt+nSOgVBGEhEzk478CBAweobLqekGM/2R/8IcNPff2sr0GYf8quj0ajUfva+Hw+AMz5Fdz2eAcQxfXaOtxbnsHQcBNpaz8ByMhyFKvk5NtXW9m/fz8TExPodDp0Oh15eXlMTk4yMjJCVlYWsizT0NDA8PAwwWCQYDBISkoKeXl5eDyek55rZLPZZo04OJUZRIIgCOc7kYMzz5Q8jtSmfwLktxqxCQtNbM6N3W5n6dKltLe3E8ko5v4Nw8hTr6FNmTmOSlp0Gd7dL6JNSQcivE9/EKthisrKSnp6etDr9eh0OmRZJjk5We1bU1hYiCRJyLLMwMAANTU1jI6O0tnZSTQaZXh4mDVr1qjBSWzy7ly7MBqNZtb8JnH0JAjCxUjs4JwGp9OpJp6ufqxTvX3z/6tGo9FgMBhE9cgFJHYXRPkYZo6zRkZGiEQijI+PU1xczMt7bPxsFwRsOxn/+0/QFy0h88avvnVPEnIkzMfNB7jmqlV4vV6mp6cZGxsjLi4Oj8eDXq9XJ3ebzWZWrVp1VPLy5OQkTqcTo9GI3W7H7/erPZYcDsesSdogqpUEQbi4nOwOjuZEFwhH83q91NTUqLkOio6ODqLRKJ2dnbN6jQjnj8HBQZxO56zbotEoLS0tOJ1ODAYDra2tbNy4Ue0zs2fPHg54Jd79Rxs/2zUzzDLenEc06CPiGkGOTgMh/vL+XP61YozGlUvUpnsGg4H8/HwkScJoNBIIBFi8eLGaE9PT08OBAwfUI6SioiIMBgNWqxWPx0NVVRUmk4lgMEh3d7fadE+hBEbi900QBGE2sYPzDjidTtZ8fzMHOzcTnZzg1UfuPWauhHB+iN19i905MZlMDAwMUF1dTW9vL8FgkNHRUcYiJn7ZJeHd+X+Ex2xkvOcr6n2FxgYwZxj5VkMi4XAIj8dDY2Mjbrf7qM7A8fHx6nwqZRxCT08PcXEzp8Sx/XiOzJlxOp28/vrrxMfHU1lZqVZ+XezDKAVBuDiJHJyzwGw28+sPF7Ni2W0gy9hs76e2tla82JzHjlf2XVBQgM1mo6ysjFF3kM+3RAENctiN+41nkEMBjJfeQkJWEUmM8umKSS6/fCkpKSls376d7OxsgsHgnJ2BvV4vFRUVmM1mTCYTXq9Xrciqrq6e1Y/nyEovgMTERIxGo3pd7GOI3zdBEISjnZMAR5KkB4EbgRDQB9wly7Lrrc99A7gHiAD/LMvyS+dijSfD6XQy5fNiaLgJjT6Fz22a4qm04zeOE86cUxmcGXutUvatjC9Qdlh6enqwFhZz1WOd+Ad2oy9cgiTNNORLu/qTaFPSyMo086G0LjQaiUhE5o033sBkMlFTU0NfXx96vX5WE0ElUIldo/JxZ2enmgwc248ndu3Kbo6Sc+N0OlF2K8vKyk7YqFAQBOFida5ycDYANbIs1wHdwDcAJElaDNwBVAPXAb+UJEl7jtZ4XMoLT35+PmlXfZzUy+5Ao0vCarWqM3iE+aUMzlSe6yPzUQYHB9XPK9fabDa2bdumVjV1d3fjdrtxud38Z1sCt//Fwchfv8PoM/9KoG/bW48kY66t5yvLEvmAaRBZjmKxWEhPT2dqagqv18v4+DhLlixh9+7dWK1WiouL1ZlXc/0uHK8fz/GuU1gslhM+hiAIwsXsnOzgyLK8PuafbwK3vfXxe4GnZVmeAg5IktQLXApsOctLPCGl5HZycnLW7ZOTk+oxg3hXPb9ONDjTYDCwf/9+terIarWyfv16IpEImZmZZGVlkZOTw+9e3kuLXMJMvC+jL1zC1KEe5OkpYJp78w8RCgVxuydJTk7GYDDg9/sJh8NUVlbicDjw+/0Eg0F12GTs+ub6XTjZJntHXuf1emdVUIkScEEQhLmdDzk4dwPPvPVxHjMBj8L+1m1HkSTpk8AnYe4Xi/lWUFCg7hjI02HCE3bk6RBOp0kkfZ5FR07DPvIoqKGhgdbWVl588UVCoRAajQaj0YhOp8OYU8D7H+/Es20rCZnDJFVcBoBh6fWkLFnNp7NH0cX3k5BgIBLRUllZycjICAkJCTidTpYuXYrT6aSsrIze3l4WL16sdjaOXcOZ/F0Q3YcFQRBOzrwdUUmS9LIkSR1z/PfemGvuA6aBdcpNc9zVnGVesiz/WpblBlmWG5S2+Web1+vFarUyNdzDod9/nokNj84aZCjMvyMHZx55VOP1esnOzkaSJNxuN+FwmBSDga+3hLl9XQ/+rmbczeuYeOU3yJEpIMpdGcP8s+UQyYlaUlJSCAQCLF++nJUrV5KUlERCQgK5ubns3buXaDRKXFwcq1evZmBgQBwVCYIgnCfmbQdHluWrj/d5SZI+BrwHWCu/XatuB/JjLrMCjiO/9nyhTJq+o97KL17IIy4tTy0BHhwcFI3X5tnxBmd6vV4MBoPa4yYpKQlJktgxIvOjAyEkjQ6QSa5eTdC2k5Ql11CrHaIpdZKUlBTS0iyMjIzgcrmwWq2Mj4/j8/lYuXIlAwMDJCcn43K5iIuLo6ysjOLiYjW4FbspgiAI5965qqK6DvgacKUsy/6YTz0HPCVJ0k8BC1AObJvjLs4LZrOZwsJCCvs2k/eJXwEyL+50cx1QXV19rpe34MUm4CpVUrHBTXNzMz6fj8zMTAbtwzzkyMXb9iLeXS+R+9GfoNElI2m0ZNz4Ge4r9RAOT+H3xzE9PU04HEar1aLVaklLS2NycpKpqSlg5pjIbreTlZWFxWKZVckkghtBEITzw7mqonoEMAAbJEnaJUnSYwCyLHcCzwJ7gReBz8qyHDlHazwhp9OJ2+1m5aUNQBSQeHIogNVqFS90Z0FBQcGshOLOzk71doBQKATAdq+Bh4cLgQQm973G9IQd//4WIMQXrA7+s1FPaWkxHo9HPZIaHx8nPT0dvV5POBzGYrGoIxOU8Q0mk4mKigpRySQIgnAeOldVVGXH+dz3ge+fxeWcNiUHZ2ZkgwZZjiKHJbWKRjg7YndvXnzxRYqKivD5fFiLS/nAUweASaS4BCSNRPp1n2fae5jbVy+neGo/AU+QyUkDNpuN2tpaDhw4gE6nIxgMIkkS1157Ldu3b2fv3r0sXryYUCiExWLBYrEAqEdiopJJEATh/HI+VFFdsJRdA6vViq/9L0xseJSUJdcQ/edl53ppC9qRDf6U+VEWi4WioiLefPNNukI5/H1/F+PP/Rh98VLS1n4ckEnIyuNr9RKZZjcTEwmkpKTQ19dHSUkJTqcTi8WCy+UCIBAI4PF48Pl8lJSUcPjwYXXEg0IJbGJ3kwRBEIRzTwQ470DsDo4myYg8HSIy6aGjowOTySRe8M4wJbBRAsvq6mocDofai6i/vx+Xx8dDIwWADjkyTHjCDshEw0FuzwpQYvSh0yUxMTFBcXGxGqAODg5SXl6O2+3GaDSSkJCA1+tl+/btLF++nLq6ullzq2L70IifsyAIwvlHDNt8h5QX3Xf9cDPD4TAaXTI7v3bZnOMChGM71tiF3t5eysrK8Hq9RKNRtUptcnKS/v5+JiYmiEajNDQ08MymTv7QL6PRG1G6CwT6W9Hll/KtmuhbU78hKSmJqakpgsEg+fn59Pb2kpqaqpabX3/99bjdbl544QWMRiNZWVmzRiWIn60gCMK5c7LDNk+YLCJJUrYkSb+VJOmFt/69WJKke87EIhcC5Wji6S9diUaXDMBUOCJeAE/RscYuZGZm0tnZSTQapaOjg7i4OHVQ5qFDh9Dr9aSmmvnYuh4e/cfr2B+9h6lD+9+6V5mrS1L4ZvkkAb+PUCjE2rVr1X42er2e0dFRqqurCQaDlJSUoNPpcLvd2O12rr/+eurr67FYLOrazGaz+NkKgiBcAE4mG/Zx4CVmyrZhZnbUF+drQReqouy3dx5W/nTrOVzJhSl27MKBAwfUI6iioiKqq6ux2+2kp6ezfft2td9NSkoKUW0iX9qqYYIEwuMHkUMBAr3bgSD3pOyhxhTm8OHDaLVarFYrAENDQ1RWVhIIBMjJyUGv17Nq1Sqmp6epqKhgbGxs1mPHJhELgiAIF4aTCXAyZFl+lpk6aGRZnmZm0rcQw24/iHfnPxhe9y/4e2amTTidTgYHB8/xyi4csWMX8vLyZuW55OXlEQwGKS4uZu/evYTDYbbaI3x9G8DMPFbz6rvIvPVfWXv5dXwl7xDxcRokSUKv15OTk0NtbS3Nzc1YrVZSU1Npamri8OHDWK1W6urqaGpqYmBggLKysqPyasTOjSAIwoXlZAKcSUmS0nkrqUGSpJWAe15XdYEZHBwkGo0y7Rllyr6X0EgfNpuNlpYWdbK1MLfBwcFZx1JDQ0Okp6cfdVw1NDSEXq/nwIEDZGfn8GObkT+++CojT30dOTLT70aKS+DeplyWpx4iGo2i1+vJzc0lLi6OQ4cOMTIyog7DNBgMRw3HLCoqorGxUezUCIIgLAAnU0X1ZWY6DJdKktQCZPL29O+LnhLcdHR0kFKzFn1hPQlZxWzYsIGVK1eK3ignEFtqryQQ2+12ampqjrq9o6OD2iVLufMfh4lMBfC0PUfEM0agr5Wkist4+LIodjsEIvHodDry8vLQ6/UsWrSI1tZW+vv7qaioAJg14iGWqIoSBEFYGE6qikqSpDhgETPDMPfLshye74WdinNZReV0OmlpaSEjI4M7/scB6IAov7hcgyzLNDY2ihfME1Cew4KCAjweD2azWW2kp1RRORwOuobG+cpGL8pM1qnhHiKeMT57w2XUmIP4fD4SEhLIycmhq6uLpqYmdT5UNBqlra0Nq9VKOBwWE98FQRAuUCdbRXXCHRxJkj56xE2XSJKELMt/OO3VLSBms5mamhqam5u5LDGRNwIzAWNvbz9XXbVavIgeQ2xZuJJgvH37djIzM7FYLLS0tJCZmUl2djYOh4PfNtt4cv1WIn4XhiXXAhK6nGK+3mRm0t3F2HQyOp2OVatWUVRURHFxMR0dHVitVjV3RpZlbDYbRUVF4uciCIKwwJ3MEdXymI/1wFpgByACnLcUFRXR19dH5eAONrSNMHWol2dW3MqyZW61tFiYLbZZH8zs1EiShM1mo7i4mMzMTNra2gCJnw1mMzk2zNh/fw80GnSWRSRkZvPI5YkcHPQTHx/P1NQUjY2NapfhoqIiTCaTekSo5PEUFRXNGo4pCIIgLEwnDHBkWf587L8lSTIBf5y3FV2AbDYb/f39VC8qxfvYE0wd7KSvpBaTqV7k4ByD0gW6tbWVYDCIXq9n+fLljI6O0tzcTGlpKVOhMA8NW4EEEjILMF76PjSJRqoz8rg+q58D/fGEQiEyMzNJTExEo9HgdDpxOBwYDAa1R5HSU0c5llLKzMUxlSAIwsJ1OlMh/UD5mV7IhcrpdM4kv9bWEgj4Sam9htQrP0ZcaiEDAwOiiuoYDAYDdruduLg4tFot2dnZ2O12kpOTKS0tZX/fID/pNTHt86tfY15zJ1+9/QZuKTqELMsEg0FCoRBxcXHo9Xr27dvHiy++qAY4Cq/XOyuYUY7ERLWUIAjCwnUyOTh/R+l7PxMQLQaenc9FXUi8Xi81NTV0dHRQXl5OSq2yIyBTU1ODw+EQrf3nYDabsVqtNDc3U1JSQnt7O01NTQD849Xt/HyHn5FnH0CbnEr2B3+IJiGeDyV0oPfrieh0pKSk4PF4sFgs+HwzXYqHh4fJzMxUxyoAaqm5qJYSBEG4uJxMDs6PYz6eBgZkWbbP03ouOAUFBQwODtLY2PjWLWPMVPlITE5O4nQ6SU5OZnBwUAQ5MZxOJ3a7nbq6Ovr7+yktLaWtrY1t9jDPHMpEk+RG0sYhaeORI34+nT5KKBglGAwiSRLp6elcdtllDA8PMzQ0hMvlIisri8TExFmPEZvnIwiCIFw8TiYH59WzsZALmRK4DA4OopNlvKN9TLtGmZgwkpqaSkdHR0wAJMDsSewmk4muri7emMhiw1gCIKNNMpJ9x/fRJsfxJasTSYpHkqNotVo0Gg1xcXFYrVZkWaa/vx+DwUBGRgaSJNHa2kpZWRlDQ0Miz0YQBOEidcwAR5IkL28fTc36FCDLsmyct1VdoAwGA19aJvPpD90LkTAvNNWzOHuApqamBf0ie6xJ4Mc6mlOaI9rtdqqrq3E4HDzw4hjtbzyFNtGE4ZIbAJk8k4ZbzIdITEzFYrGQmZnJrl270Ov1jIyM8OabbzI8PEx6ejomk4ny8nJ6enpwuVx0dXVRWVm5oJ93QRAE4diOmWQsy7JBlmXjHP8ZRHAzN7PZTI01i8SSZSRWrOIP/YcpLS3FZDIt6JlUx5oEfqwEa4PBoPaoMZvN3P1HG91DA7ibn2LilV8Tdh3iSs0Qn6qIUlFRQTQaJTMzk+npaRobGzEYDJSWltLX10dRURFr166loaEBu91OTk4OGo2GtLQ0hoaG1DUJgiAIF5eTycEBQJKkLGb64AAgy/LCfcU+TU6nk8CkCdR2iAAAIABJREFUl6xbvokSO3Z1dTE+Pq4m0C5EsZPA8/Lyjjoait3hUT6uqalhz54OVj/WCYDeWkXq6ruIT83mxlQPqxZlkJSURDQapampiZ07d5Kfn4/b7eaqq67C6/VSVVWFRqNRH0cZ53DVVVfNWR4uCIIgXDxOporqJuAngAUYBQqBfYDI3DyC1+slJycHsL11SwSDwUAoFMLtdi+oaqojj6XMZjNGo5Hdu3eTm5s761qDwUBraysWiwWLxUJrayuyLPPZTVPIIT/alJn7MK14Hx9LHcCUEMLlcpGcnExCQgI2m43ExESCwaDahXiugEWj0cwajRFbDi4CHEEQhIvLyfTB+S6wEuiWZbmYmU7GLfO6qguUwWBgYGAA0CBHI0Qm3SQkJFBRUUFHRwfRaHTBHFUdeSxls9lob2+npKQEj8dDa2vrUcdDDocDl8tFVJb5+AtORp+9n5Fn7icS9AFRvrHIR0FmIgkJCWi1WsLhMIWFhfh8PjQaDZWVlcc9dlIa+8Uym80LJqgUBEEQTt7JHFGFZVk+LEmSRpIkjSzLmyRJ+vd5X9kFyOv10tjYSOhvT3HoiS8Sn5aHd+X36e7uZtmyZWpS7UKg7KK0traSnZ2t9rExmUxotVocDsesaqaGhgZcLhf9Bw7wqY1h5Okw0aCPaDhINODj8/kj1FVeit1uR6fTodPpyMjIwG63k5KSoiZqiy7EgiAIwsk4mR0clyRJKcDrwDpJkh5iph+OcARlp2BlfhZEppHDIQYdAYLBID09PQvuRdlisRAMBtm3bx91dXWYTCY6OzuxWCw0NDRgNBqx2Wzk5eUBcNBu5571AUBGm5xK1h3fJ+dD3+Ppj1azrH6mWaLT6aSurg69Xs/ExATp6eno9Wrql+hCLAiCIJyU45WJPwL8CXgvEAC+CHwYMAHfOSuruwB5vV5+cOdltHr+giZBz68Ow/1pw8TFxS2o4EahBB82m42RkRG1i7DT6SQcDlNUVERvby8ut4cvvx4ieGAnyYuvACAuJY2Hm2D3zjYAtFotmZmZ6mwqvV5PRUUFwKxdG9GFWBAEQTiR4+3g9DDTxbgT+CFQI8vyE7IsPyzL8uGzsroLUEFBARmGRDQJb+86LF++nKGhIWw227lb2BmmVCg1NDSQlZVFJBIhEAion9u4cSMJCQkUFxeTk5vLV9+UGHn6Psb//iC+zs2AxJfyDnCgr5dgMIhOp6O+vh6TycTBgwcpLy+noaFBTRAWuzaCIAjCqTjmDo4syw8BD0mSVAjcAfxekiQ98BTwjCzL3WdpjRcc/6Rv1r/r6uowGo10dHRgMpkWxO6DMsDS4XAwOjpKXNzMr5LD4VBnQ7ndbiYmJrjxyQGkOB0pddfg3fEP9AWL+dnKCAF/GqOjo8THx5OXl0dfX5+ax6MENrEVUQvheRMEQRDODkmW52pWfIyLJWkp8DugTpZl7byt6hQ1NDTIra2t53oZs2Tf8X3crz+JzroY99a/Asfv7nshcjqdKM97eXk5bW1t6oTvNWvWYDQaueQ/tsz6mmh4is/l9JNqMhKJRDCZTLhcLnJzcyktLcXj8Sy4XCVBEAThzJEkqU2W5YYTXXfCJGNJkuIlSbpRkqR1wAtAN3DrGVjjgjU4OAhylClHF1OHZja6FlpwAzO7OA0NDWoXYZPJxOjoKNnZ2RQVFVH/vU0cfukRIpNvl3U/fGU8aeZUxsbG8Pv9+P1+zGYzWq2WkZERrFarOIoSBEEQ3rHjJRlfA3wQeDewDXga+KQsy5NnaW0XLIPBgN6yiOwP/oD4tHw6em24hhdOibgiNlgzGo309fVRW1vLgQMHKPr68zg3/Re+XS8y7Roh+/YH+ExGH4eGEklKSiI9PZ3x8XGmp6dZsWIFVqsVh8OxoErpBUEQhHPneDs43wS2AFWyLN8oy/I6EdycHLPZzCO316EvqEObYub2/1p4fVsGBwePavKXmZmJ2+3m+30WQCa16UPoC+tJu/pTfLvGj1aSCYVCeDweZFkmIyMDvV5PIBBQE4lFMrEgCIJwJhwvyXjNfD+4JElfBR4EMmVZHpckSQIeAm4A/MCdsizvmO91zIfq7ET140lQS6cXyjGV0slYmf+0ZMkShoeHufc1J6ADQJtsJvuO7/Dd+ikKcjMpyMuhp6eHYDCI2WxmxYoVSJKk9r8RJeCCIAjCmXIyjf7mhSRJ+cA1QOzsguuB8rf++yTw6DlY2hmhkWSC9g4mXv4V/v1vYLPZ6OzsXDDjGpRApK2tjYKCAtxuN8/bQtg3/gXvzn8AEhDlUxk2fM4x0tLSmJ6eRqvVIssyWq2W3t5eTCYTjY2NYtdGEARBOKPOWYAD/Az4FyC2jOu9wB/kGW8CqZIk5c751ecxp9OJ3W4nPGrD2/Z3/H3baG5uxmQyYbfbMRgM53qJpyX2WApmOhn7fD52795Np1vDM6914dn+P0y8/BvCLgefynagifiRJAmbzYbb7Uaj0bBixQo0Gg3BYFCtwloIu1qCIAjC+eNkZlGdcW9NKB+SZXn3zKmUKg84GPNv+1u3HZrjPj7JzC7PeffiqPSI0RcuIfXKO9FZq8jOzmZgYGDWtOsLjXIspeQTud1upqamGHTKPNl5GF1eJWnX/TOa+HjuLIaE6CTF5eWMjIwwMjJCcnIyDQ0NuN1uli1bxuTkTEqXmPYtCIIgnGnzFuBIkvQykDPHp+5jJoH52rm+bI7b5mzUI8vyr4Ffw0wfnNNc5rwoKChgcHCQmvx89qfnA/DslmHuvqbsgn4xVxKBOzs7MRqNtLe3s+TSRr7/pwPMBKoyhiVX86ECDWWJoxQU1LN3715KSkoYHh7GZDLhdrsXXMK1IAiCcP6ZtyMqWZavlmW55sj/gH6gGNgtSZINsAI7JEnKYWbHJj/mbqyAY77WOJ+i0Sjvznap/97gT6O1tRW3230OV/XOmc1m8vLy6O/vZ1FVNTf//GVG1n2Nae9hQGZZQoDieAcNDQ1ccskllJWVsX//flJTUzl48CBGo1EEN4IgCMK8O+s5OLIs75FlOUuW5SJZlouYCWoukWV5GHgO+Kg0YyXglmX5qOOpC4FGo+HKVbWEXQ58HRuZGu5l9erVDAwMzMpjOV8cmV8DM7lERyZEO51OhoaGqK2t5bZnh3C+8humhvbi2fbfpBHmivRDlJaW0t3dzSuvvEJcXBz19fUMDw9TVlbG1q1bF9RMLkEQBOH8dC6TjOfyD2Z2eHqB3wCfObfLOX0FBQWYU1OZ7NjM4ed/in/fa9TW1p63FUNKfo0S5CjDNL1er3q7cpvVamXtb7qQJInMW76JccWtmFffyStfW6MeR8myzNDQEIcPH2ZgYIArrrgCnU5HbW0tr732Gp2dnef4OxYEQRAWsnOSZBzrrV0c5WMZ+Oy5W82ZZTAY0FkXk7SokYTsUg4fPkx6ejows2NyPiVHx+bX5OXlMTQ0pHYUbm1tpaurC6vVSnx8PKsf24MSG2sTTZhX38Wrn67BbDZTU1NDV1cXaWlp5OXl8frrr2M2mxkeHqa8vJyenh5xRCUIgiDMu3Me4CxUym5HYlE9iUX1APz+pTe57bLq83YcgdlsJj4+nm3btqHT6XC73RQVFVFeXs6rr77KG2+8wQsjJiZe+V/iDJkYlt+MJEk8fr0Bo9GoHl9VVlbS29sLwCWXXEJ7eztDQ0MEAgESExNpamoSQY4gCIIwr0SAM0+Uaqmf3GTmK8/ZAHikHYp1bVRWVp6XL/BOpxOPx4NWq1XnQjU0NOD1epFlme4RmT3Dbrytz4E2jsSyS3n4RitL6mpxOBw4HA7Ky8vV8m+3240kSSxZsoSdO3ei1Wqpra09L793QRAEYWERAc48KSgowOl0cniiA1mOEj5sR4pLID4+E4vFcq6XdxRlx8lisVBeXs6ePXvo6+tj48aNGI1Ghsb8vEAVuhyJjJv+BTka4QsNmYR8b1eFBYNBenp6sFgs5OTkYLfbKS4uJhwOY7FYmJiYoKOjg9TUVBHkCMICEQ6HsdvtBIPBc70UYYHR6/VqasTpEAHOPDKbzaSnpeHe8ivcr6/DuPxmEm/9DG63+7ybSaU0JwTo7OyksLCQsbExAoEAo2OH+dPUUpQ2RclVTVQxhDUlQEqKgdbWVsrKytDr9QAkJSXR2dlJQ0MDw8PDAFx//fW43W7a2tpobW2loaFBBDmCsAAo3dmLioo4onGrIJw2WZY5fPiw+kb5dIgAZ54lJyejyy5Ba8hEik+kpKSE5uZmmpqazqvhm7FrsFqtbNq0iampKYLBKX7vKubwCz/EfNU9xKfmkICL9+RH0Ol0FBUVsWPHDpxOJ8uXLwdmpotXV1ej1WrRaDRYLBZ1dpXJZMLhcFzQDQ8FQXhbMBgUwY1wxkmSRHp6OmNjY6d9HyLAmWeTk5PoSxqwfuZ3ADzwp71875+amJycPCfJxoODgxgMBrxeLwaDYdaUc4PBgMPhoKuri0gkQjAY5Impalyv/pZAz5vI4SDZt/8rd6cOUVm5nNLSUrZs2UIoFCIrK4sdO3ZgNBopKytTq7CODN7EtHBBWHhEcCPMh3f6e3W+9cFZUJTeMb+/YxHK8U6zbxqPx4PT6TzrIwsGBweJRqPqVPPOzk727NlDS0sL0WiUlpYWfD4faWlpTE5OsmeqAtBjXn0XydVrSL/+s3w8ZT8ZGRns2rWLzZs3EwwGWblyJXFxcSQkJACQmpqqlpyfj00NBUEQhIVPBDjzSMlrqSvIBECORolOBenq6iIvL++s72QYDAY6OjrUqeZarZYNGzbg8/l47bXXKCwsxOPxzAQ5BWVsdEUBDRp9Mhnv+RIft3rIz88jIyOD1NRURkZGyMrKwu12YzQaKSkpUauulL4652NTQ0EQzo2T7Zh+qux2O+9973spLy+ntLSUL3zhC4RCoTmvdTgc3HbbbSe8zxtuuAGXy3XC6+byrW99ix//+McnvC4lJeW4n3e5XPzyl788rTUIIsCZV8rxTNe+vUx2NXPwoTuYeOX36HR6ent7z/ruhtKIb/fu3UxNTdHd3U1hYSEOh2OmDLy7m+npaQbsh/jacz24t/43shwFZG42u3nXmlVMTU1ht9sJhUKkpaUxMDCAVqtVK6XMZrP6fcd+LAiCcKyO6QaD4bTvU5ZlbrnlFm6++WZ6enro7u7G5/Nx3333HXXt9PQ0FouFv/zlLye833/84x+kpqae9rrOBBHgvDMiwJlnyi5OnCEDORQgMjmBzroYi8VCa2vrWR9ZUFRURGlpKR0dHaSkpOBwOFiyZAnRaBSfz0dn514e7DMz+rcf4tr8OL7dL5KGi3tuWEJlZSVpaWkA5OTkEIlESEpKYuvWrZhMJpFbIwjCccV2TD9w4ACdnZ3v+Kh+48aN6PV67rrrLgC0Wi0/+9nP+N3vfoff7+fxxx/n/e9/PzfeeCPXXnstNpuNmpoaAPx+Px/4wAeoq6vj9ttvZ8WKFbS2tgIzfyvHx8ex2WxUVVXxiU98gurqaq699loCgQAAv/nNb1i+fDlLlizh1ltvxe/3H3etBw4cYNWqVSxfvpz7779fvd3n87F27VouueQSamtr+d///V8Avv71r9PX10d9fT333nvvMa8T5iYCnHlWUFCA2WymoaqMvM88Tvb7v83/+/P+c9YLx2az0dfXR2lpKXa7ncWLF6PT6aisrCQQCPDIeD5SXCJpaz+JvqielJqreeLD9ezevZvu7m6qqqpoaGhgfHycJUuWkJ2dzaJFi87bIaKCIJxfzGYzeXl52Gy2M3JU39nZybJly2bdZjQaKSgoUDuqb9myhSeeeIKNGzfOuu6Xv/wlZrOZ9vZ27r//ftra2uZ8jJ6eHj772c/S2dlJamoqf/3rXwG45ZZb2L59O7t376aqqorf/va3x13rF77wBT796U+zfft2cnJy1Nv1ej1/+9vf2LFjB5s2beIrX/kKsizzox/9iNLSUnbt2sWDDz54zOuEuYkA5ywYHBzkkY+tIM6Qod7W2tqKxWI5q1VUTqeTjo4O8vLymJqa4tJLL+XQoUPExcVhs9l4xpYIJAISSeUryPrAd/nDjWlYrVaampoYGxsjKSmJ8fFxVq5cSSQSobKyEoPBQE1Njci3EQThhJSRLkVFRQwNDb3jN0ayLM9ZbRN7+zXXXKPuPsdqbm7mjjvuAKCmpoa6uro5H6O4uJj6+pmRO8uWLcNmswHQ0dHB5ZdfTm1tLevWrTvhjnxLSwsf/OAHAfjIRz4ya63f/OY3qaur4+qrr2ZoaIiRkZE5v6eTuU6YIQKcs8BgMHDwQK/6b1mO4HK5Zu3inIlEuxPxer3U1NQwPT2N0WiksrKSJUuWsGXLFtr6XHR27yc8cQiQAZnPWuykpaXh9XopKiqiuroam81GQUEBbreb6upqiouLqa6uVpt9CYIgHIuScxP7t+OdVltWV1erx0oKj8fDwYMHKS0tBWb6kc3lZHc/dDqd+rFWq2V6ehqAO++8k0ceeYQ9e/bwwAMPnFQ357mCsXXr1jE2NkZbWxu7du0iOzt7zvs62euEGSLAOQuUc+dpzxjDf/oGw3/8F9oHJ3G7Z8Yc7Nmzh5deemneA4SCggI0Gg0NDQ00NDTQ2dmJ3+8nITmNdb1Bxp77MYf+8GWmPeO8PydEbUWhmgAY+65rcHAQq9Wqbi2LiilBEE6GkpN4Jv92rF27Fr/fzx/+8AcAIpEIX/nKV7jzzjtJSko67tc2NTXx7LPPArB371727NlzSo/t9XrJzc0lHA6zbt26E17f2NjI008/DTDrerfbTVZWFvHx8WzatImBgQEAtWfZia4T5iYCnLPIlGRgaqiL0EgvT9iTaW5u5pVXXmHz5s1nrSeOkhPk9XoxGo14fZM82J9BvNlKYmkDyVVXUJGeyWdvXobBYGDlypU4HI5Z77oaGxux2+2z3nWJiilBEE5E+fsT653+7ZAkib/97W/8+c9/pry8nIqKCvR6PT/4wQ9O+LWf+cxnGBsbo66ujn//93+nrq4Ok8l00o/93e9+lxUrVnDNNddQWVl5wusfeughfvGLX7B8+XL1DS7Ahz/8YXWEzbp169T7Sk9Pp7GxkZqaGu69995jXifMTVoICUoNDQ3ykVuU55vOzk7ae2x88eldJGSXoE1M5ifLw9hsNi677DJWrVp1VtahdDJ2u92sX7+BH/S/fUwmyxGIBnh0jQGj0agGXcrXxP5hOp/GTAiCcO7s27ePqqqqc72M0xKJRAiHw+j1evr6+li7di3d3d1q01Lh3Jvr90uSpDZZlhtO9LViVMNZoHQ0vu7Ky0h8U7k1Sm/vANXVi4hEIjidznnfwVE6GSvB4DP9Fvx9W0ksWY4kSUiSxP2VAWy2wzQ1NanrmSuIESMXBEG40Pn9ftasWUM4HEaWZR599FER3CwgIsA5C448d54h8YavmDyXi4yMDFpaWmhsbJy3oEEJbux2O5FIhK0HwuzavYGJF/+TpMrLybjpq3wmdxiNJp6lS5fS3t6O0WikqKhoXtYjCIJwrhkMhqMSlIWFQ+TgnAWx585X5IFn+9849MSX2D5kZ8mSJWzfvp2MjIx3nKSrtEGPbYfe2dnJq6++itvtpqOjA6vVyog7zO8HIM6QjkaXTGLJJTRKNpLjQqxZs4bKykoqKiro6OgQvW0EQRCEC5IIcM6C2IDjk8vSCI0NEhruJdC/A5fLxerVq9FqtRgMhndUKq60QVcGadpsNhwOBzabjTfffJPCwkL2dnXzwE4ZkEgsWYblk7/CWruMywvj0Wg0eL1eOjs7KS8vp7GxUVRGCYIgCBckEeCcBbHzV5ouW4XhkneTddsDGJffxOaBILW1tZSVlZ3WTJbY4Ekpuezp6SEcDtPc3Ex2djZpaWnIssy+rv18+mUn4YlhlOnm2qRE7slzk5mZSWpqKi0tLWoJuKiMEgRBEC5UIgfnLFACj5aWFgoKCtDllKmf+22Hn6ZNm4iPjz+tUnEleIr92kAgQHx8PCUlJfT391NSUkJhYSG3rNvNxIYnmex6ncyb/oXE0kv4snWE3Jwc0tPTCQaDxMfHMzk5eUa/f0EQBEE428QOzlmi7IZs27aN+6oDMZ/R0NPTj9FoPK0E4yOH17W2tpKYmEheXh79/f1kZ2fT1tbGf/x1H+FoCtFQAKIRNMkm7q0Ks+bKJgoKChgaGiIvL++cT88VBEE4VSkpKSe85vXXX6e6upr6+np1WOZ8iR3oeSb927/9Gy+//PIZv9+FSuzgnCVOpxOPx0NpaSk2m42IP4T7jaeZdo+y9Qv3YxkcJD8//7SDnLy8PPbt20ckEqG2tha73U55eTmjo6MMTibSPJWEpJXIuOlewuOD3FyZw7uvXMbk5CShUIimpiY0Gg35+fnqcZooAxcEYaFYt24dX/3qV9Wp4yciyzKyLKPRvL0PEIlE0Gq187XE44pEInznO985J499oRIBzlkQO39FmVwrdXTg2/MycijAi+1D/PjD71evAY7ZRG+upns2m43Ozk4yMzOx2+10dXVRWVmJyWRid7ed3+wLok1ORNJokSSJkvwi1pYEmZycxGAwYLFYZt2f0jpdBDiCIJyKb/+9k70Ozxm9z8UWIw/ceHJDiTdv3sy3vvUtMjIy6OjoYNmyZTz55JP89re/5dlnn+Wll17i5ZdfZt26dTz44IM8++yzTE1N8b73vY9vf/vb2Gw2rr/+etasWcOWLVv4n//5H6qrq/nyl7/MSy+9xE9+8hMSExP58pe/jM/nIyMjg8cff5zc3Fza2tq4++67SUpKoqmpac71HTp0iNtvvx2Px8P09DSPPvool19+OevXr+eBBx5gamqK0tJSfv/735OSkkJRURF3330369ev53Of+xwvvvgi73nPe7jttttoa2ubcx0PP/wwjz32GHFxcSxevFgdDXExEkdUZ0FsHxxlJ+dna8ykv+sz5Hzs58Sn5dEzOnONMhbhWMnGsQnLMBPcNDc3U1NTw4oVK1i2bBmHDh1iz549uP0hvrt9ipF1X2f0r98lOuUHJP73n1dx1VVXYTAY5qV1uiAIwrmyc+dOfv7zn7N37176+/tpaWnh4x//ODfddBMPPvgg69atY/369fT09LBt2zZ27dpFW1sbr732GgD79+/nox/9KDt37qSwsJDJyUlqamrYunUrK1as4POf/zx/+ctf1IDmvvvuA+Cuu+7i4YcfZsuWLcdc21NPPcW73vUudu3axe7du6mvr2d8fJzvfe97vPzyy+zYsYOGhgZ++tOfql+j1+tnTT0HCIfDx1zHj370I3bu3El7ezuPPfbYfDzFFwyxg3MWKMFCZ2cnDocDi8VCdXU1yc1R9ZoP/H4Pz7wvg3A4fNxkY6W6qbW1Va28ampqwmQyMTg4SFFREWvWrKFlWxur/3Mb055RoqEAUb8bNFq2fHkF+/bupbq6WgQxgiCcUSe70zKfLr30UqxWKwD19fXYbLajdlTWr1/P+vXrWbp0KQA+n4+enh4KCgooLCxk5cqV6rVarZZbb70VmAl+Ojo6uOaaa4CZY6Pc3Fzcbjcul4srr7wSgI985CO88MILR61t+fLl3H333YTDYW6++Wbq6+t59dVX2bt3L42NjQCEQqFZo3tuv/32o+7nWOsAqKur48Mf/jA333wzN99882k8gwuHCHDOgeTkZFpaWqhJluiYnOlJI09PsWXnXioKstXjIafTicPhUHdaYOaIKjk5mWAwyL59+9QjLaUTMkC2JZ/7dnQCMrqcMnI+8mOkeD0/vjKJibERcQQlCMKCpdPp1I+1Wi3T09NHXSPLMt/4xjf41Kc+Net2m81GcnLyrNv0er2adyPLMtXV1Uft0rhcLiRJOuHarrjiCl577TWef/55PvKRj3DvvfdiNpu55ppr+NOf/jTn1xy5nuOtA+D555/ntdde47nnnuO73/0unZ2dxMVdnC/14ojqLKqurqahoQG73U56ejpXJfcQCXoZ/7+fcOjxL/Kz/mT27duH2+3GZrOxceNGNcBRGAwG2tramJiYwO/309rayqZNm0hOTmbr1q2s37iZyvtfIHz47YaB8eYc7r8yHW3Yj8PhAOaeLyUIgnAxeNe73sXvfvc7fD4fAENDQ4yOjp7w6xYtWsTY2JgaWITDYTo7O0lNTcVkMtHc3AzMJDTPZWBggKysLD7xiU9wzz33sGPHDlauXElLSwu9vb3AzHys7u7u01pHNBrl4MGDrFmzhv/4j//A5XKp3+PF6OIM684hpeLJZrNRV1eD5v+3d+/hUVZ3Ase/v4SEJECSCQRNMqZBNARyBXIBkbtcpFaqthYesbT0kSJe0BaWtioP8sC2VrYL69q1VluvKxRoFRdaYV1wES1NggECYQlgDEm4JpMLuQDJnP1jJmMuE8I1Mxl+n+eZJ++873kzv5Pzvu+cnPe855yo4FzJARqrT3P++Fc0DbS6TpLIyEjCwsI4fPgwISEhREc7Zv4ODAykrq6Os2fPYrfb6du3L+Xl5Rw/Y2Pll32p3P4ONbs30W/6YkJuy2SUnKD2WA13TJqE1WrV1hul1A1t8uTJFBQUuG4F9e7dm3feeafTJ6QCAwNZv349Tz75JFVVVTQ2NvLUU0+RmJjIH//4R1cn4ylTprjdf/v27bz44osEBATQu3dv3nrrLSIjI3njjTeYOXMm586dA2D58uXEx8dfdhzx8fHMmjWLqqoqjDE8/fTTN/TQH2KM8cwHizwBPA40ApuMMf/kXP9z4EdAE/CkMeajzn5Xenq66S4TpjU/URUaGsrevXvxCwjhJxsP0SO0Pz3C+gNNPBX1FSHBQVgsFsLDwwkNDeXUqVMEBQURHR1Nr1692LRpE+Xl5URERODv709AbwvL9/fBmCZsH/+emi/+Sv/7n2Vk/CDujq0mNjaW2NjYVre7lFLqahUUFDB48GBPh6F8lLvjS0RyjTHpne0BqgAGAAAUgklEQVTrkVtUIjIemA6kGGMSgZXO9UOAGUAiMBX4rYh4ZtCB66C5cmO1WqmuriY1NZVzdVUE3TLIWbkB8OdPx8NoaDhHZWUlt99+u2sQq4aGBo4ePcr27dupqqqiT58+1NXVUUMIy/cHAwYRPywTH+HmWb8mbuBA7oqqIDk5mR49erS73aWUUkr5Kk/1wXkU+JUx5hyAMab55ud0YI0x5pwx5kvgMJDpoRivuebHxf38/LBarZw4cYJ+/frxu7tCccwNJdQd+pyiU1XsrQ2jqcnOvn37XJ3MKioqKCsro6ysjMjISEItERyuD+XlIyFUfroW+/kGAET86BsVyfTQEoyxU1paSkNDg+cyrpRSSnUxT/XBiQdGi8gKoAFYaIzJBmKAv7dIV+Jc146IzAXmQvfpMNscp8Viobi4mMDAQEJDQwkJCaEf+yg+tJ/Tf/lneoTdxJYfrqbO7s/4IBtNeXnU19dz5swZx3xRgT0pqxM+Ph5KMRGU//U31B7YTmPlCfrd8xPCqWL2zRXc1P8bgKNiFBERQXJysva/UUopdUO4bhUcEflv4GY3m55xfq4FGAFkAH8SkVtpnuK6NbedhIwxrwKvgqMPzrWIuSs194fJycmhpKSEl6YPYMaGAAKjBhEy6A4kMITPaiD7YD1jQ04SbQmiqj6A89KboqowChpDaG6ACxv5IOdPFxGa8W2isPF4Sg9SkidQX1/PsWPHiIqK4tixY5w6dYrMzK8bxGw2W4cjJiullFLd2XWr4Bhj7upom4g8CvzZOHo4/0NE7EA/HC02t7RIagXKrleMnmaxWEhPTycnJ4eioiLmW6v57axfIX5fF0vtmTNsjYhG6vyBCIzdUH8km/OnjhI+aiYgBPSLJeqHqxgqZ7jLWs2tA4Zx4sQJACZMmIDFYnGNeNy/f3/i4uJaTR+hlFJK+RpP3aJ6H5gAbBeReCAQOANsBP5TRH4DRAO3A//wUIxdwmKxcNttt1FeXk54MMwbEsDvDtoBwX6+npPvLsYYg3X+G/gFBmEaz3Hmw5WYCw0ED8yg5823AzD7lgZCG2zY7YFkZ2eTlZXVaobduLg4AHJzczl58mSnIyYrpZRS3ZmnOhn/AbhVRPKBNcBs47Af+BNwAPgb8JgxpslDMXYJm81Gfn4+NTU1REREcHvver4XXgoYGitP4BcSTo/QSPwCgwHBLzCY0Mz7CB83hwBLNH2oY0lKPaMHRTB06FCampoIDQ2lurqaXr16tZq3KiwsjICAACoqKoiJidHKjVLKJ4gIDz/8sOt9Y2MjkZGR3HPPPR6J5+DBg6SlpTF06FCOHDnSatu0adOorKy84v2vh5b/DF8rr7zyCm+99dY1/72XwyMtOMaY88CsDratAFZ0bUSeYbPZyMnJ4fz58645RbZs2UJ08Dmejarh37ES+MhvnU9HOaZ0AAi/8yH69oRFY26i6WQhfuIYyfLkyZOMGDGCsrIywsLCqK2txWKxsH//fmJiYjh8+DDBwcHcdtttlJaWEh4erpUcpVS316tXL/Lz86mvryc4OJitW7cSE+P2+ZQu8f777zN9+nSef/75dts2b958Vft3pKmpqdVAhW3fd6XGxkbmzZvnkc9uSadq8KCamhqio6OZMGECcXFx+Pn5kZqayqBBg4iODOfpwdWsHhvEnME9mDkogEn9qvhJZm9WTezN1gUjmTExnVF3jCQoKMg1xk1CQgITJkygqqrKNbFnTEwMBQUFNDQ0kJ6ezoABA0hMTGzVuqOUUteCiLSbl+lb3/oWIsKHH37oWvfqq68iIsydO9e1rqysDBFxjdp+Oe6++242bdoEwHvvvcfMmTNd22pra5kzZw4ZGRkMHTqUDz74AHDMPTV69GiGDRvGsGHD+OyzzwDHiMPjxo3jO9/5DgkJCTz00EO4GxQ3Ly+PESNGkJKSwn333YfNZmPz5s2sWrWK1157jfHjx7fbJy4ujjNnzlBUVMTgwYN55JFHSExMZPLkydTX17vd/5133iEzM5O0tDR+/OMf09TkuLHRu3dvlixZQlZWFp9//jlxcXEsW7aMO++8k3Xr1nHkyBGmTp3K8OHDGT16NAcPHgTgyy+/ZOTIkWRkZPDcc8+5/XvW1tbyzW9+k9TUVJKSkli7di3g6OYwduxYhg8fzpQpUzh+/DgA48aN4xe/+AVjx45l9erVLF26lJUrVwJ0GMe6detISkoiNTWVMWPGXE5xXxKt4HhQbGxsq34wsbGxZGVlkZCQQGlpKfHx8fTtE8wDI24jMeA0M4beRHD5IdJu/wYRERHYbDYKCwux2+1kZmYSFhZGTk6Oq/mz+SJRWlpK3759CQoKcn22xWJxTbqplFLd3YwZM1izZg0NDQ3s3buXrKws17YVK1YwYcIEsrOz2bZtG4sWLaK2tpb+/fuzdetWdu/ezdq1a3nyySdd+3zxxResWrWKAwcOcPToUXbu3NnuM7///e/zwgsvsHfvXpKTk3n++eeZNm0a8+bN4+mnn2bbtm0XjbmwsJDHHnvMNZ/Vhg0b2u1fUFDA2rVr2blzJ3l5efj7+7vmuqqtrSUpKYldu3a5ZkwPCgri008/ZcaMGcydO5eXXnqJ3NxcVq5cyfz58wFYsGABjz76KNnZ2dx8s7uHneFvf/sb0dHR7Nmzh/z8fKZOncqFCxd44oknWL9+Pbm5ucyZM4dnnnnGtU9lZSWffPIJP/3pT1v9ro7iWLZsGR999BF79uxh48aNF/1bXQmdi8rL2Gw2SkpKmDRpEiUlJVy4cIGcnBwSEhJoaGggKyuLwsJCTp48SXV1NfD1k1I2m40dO3Zw8OBBEhISCA8Pdz0p1by95fvml1JKXSvuWjpattw0mzt3bqvWG3D8U3al0welpKRQVFTEe++9x7Rp01pt27JlCxs3bnS1KDQ0NFBcXEx0dDSPP/64q+LQcpLLzMxMrFYrAGlpaRQVFbkqEQBVVVVUVlYyduxYAGbPns13v/vdy4p5wIABpKWlATB8+HCKiorapfn444/Jzc0lIyMDgPr6evr3d4x87+/vzwMPPNAq/fe+9z0Azp49y2effdYqpua5rnbu3MmGDRsAePjhh1m8eHG7z01OTmbhwoUsXryYe+65h9GjR5Ofn09+fr6rS0VTUxNRUVHtPruli8UxatQofvCDH/Dggw9y//33X+xPdUW0guNlmkc7tlgsGGMoKCigZ8+elJWVMWzYMA4fPkxlZSWNjY1EREQQHx/fqpISHBxMaGgopaWl1NXVtWohatlqoxUbpZSvuffee1m4cCHbt2+nvLzctd4Yw4YNGxg0aFCr9EuXLuWmm25iz5492O32Vq3cPXv2dC37+/vT2Nh4zeNt+xn19fXt0hhjmD17Nr/85S/bbQsKCmrXz6Z55Hu73U54eDh5eXluP7vtbcS24uPjyc3NZfPmzfz85z9n8uTJ3HfffSQmJrpmMW+r+bNbulgcr7zyCrt27WLTpk2kpaWRl5dH3759LxrX5dBbVF4mNjbW1dpSWlqK1Wrl3LlznD9/npqaGhoaGjh79iwxMTFUV1dTVuYYJqi5dSY9PZ2srCwSExPd9q+xWCw6sJ9SyifNmTOHJUuWkJyc3Gr9lClTeOmll1ytQ1988QXgaIWJiorCz8+Pt99+29W35VKEhYVhsVjYsWMHAG+//barNedamjhxIuvXr+fUKceMRhUVFXz11Ved7hcaGsqAAQNYt24d4Kgo7dmzB3C0nKxZswbAdburrbKyMkJCQpg1axYLFy5k9+7dDBo0iNOnT7sqOBcuXGD//v1XHMeRI0fIyspi2bJl9OvXj2PHjnWar8uhFRwvZLPZ2LlzJ1arlfDwcMaPH0+PHj3YsWMHFRUVjB8/3lVrLysrc41I3FFrjVJK3QisVisLFixot/65557jwoULpKSkkJSU5OpYO3/+fN58801GjBjBoUOH3LZAXMybb77JokWLSElJIS8vjyVLllyTfLQ0ZMgQli9fzuTJk0lJSWHSpEmujr2deffdd3n99ddJTU0lMTHR1bl69erVvPzyy2RkZFBVVeV233379rk6Nq9YsYJnn32WwMBA1q9fz+LFi0lNTSUtLc3VMftK4li0aBHJyckkJSUxZswYUlNTL/GvcmnkSu93epP09HSTk5Pj6TCumeLiYux2O/n5+SQlJREWFsann35KWVkZdrudhIQEAgICXKMQ63QLSilPKSgoYPDgwZ4OQ/kod8eXiOQaY9I721f74HihlpWVbdu20adPH8LCwpgyZQrZ2dkcPXqUjIyMVq01SimllPqa3qLyYnFxccTFxVFZWUmvXr0oLCwkPDycjIwMiouLdQwbpZRSqgNawfFiNpuNgIAAhgwZwoEDB6iqqiI9PZ2UlBRGjRqlA/UppbyCL3R1UN7nao8rreB4qeanoqxWK3a7nYEDB1JTU+PqEKadiJVS3iAoKIjy8nKt5KhryhhDeXl5q0f3L5f2wfFSNTU1WK1WSkpKXE9HFRUVkZ+f73o8UQfqU0p5WvN16vTp054ORfmYoKAg12CLV0IrOF4qNjaW4uLiVo9+x8XFERYWpgP1KaW8RkBAAAMGDPB0GEq1oxUcL+bu0W9ttVFKKaU6p31wlFJKKeVztIKjlFJKKZ/jEyMZi8hpoPPJOa5MP+DMdfrd3kTz6Vs0n77jRsgjaD59zfXM5zeMMZGdJfKJCs71JCI5lzIkdHen+fQtmk/fcSPkETSfvsYb8qm3qJRSSinlc7SCo5RSSimfoxWczr3q6QC6iObTt2g+fceNkEfQfPoaj+dT++AopZRSyudoC45SSimlfI5WcJRSSinlc7SC4yQiU0Xk/0TksIj8zM32niKy1rl9l4jEdX2UV0dEbhGRbSJSICL7RWSBmzTjRKRKRPKcryWeiPVqiUiRiOxz5iHHzXYRkX9zludeERnmiTivhogMalFOeSJSLSJPtUnTLctTRP4gIqdEJL/FuggR2Soihc6fbucsEZHZzjSFIjK766K+PB3k8UUROeg8Jv8iIuEd7HvR49ubdJDPpSJS2uK4nNbBvhe9LnuTDvK5tkUei0Qkr4N9u1N5uv0e8crz0xhzw78Af+AIcCsQCOwBhrRJMx94xbk8A1jr6bivIJ9RwDDnch/gkJt8jgP+y9OxXoO8FgH9LrJ9GvBXQIARwC5Px3yV+fUHTuAYAKvblycwBhgG5LdY92vgZ87lnwEvuNkvAjjq/GlxLls8nZ/LyONkoIdz+QV3eXRuu+jx7U2vDvK5FFjYyX6dXpe96eUun222/wuwxAfK0+33iDeen9qC45AJHDbGHDXGnAfWANPbpJkOvOlcXg9MFBHpwhivmjHmuDFmt3O5BigAYjwblcdMB94yDn8HwkUkytNBXYWJwBFjzPUa0btLGWP+F6hos7rlOfgm8G03u04BthpjKowxNmArMPW6BXoV3OXRGLPFGNPofPt3wNrlgV1jHZTlpbiU67LXuFg+nd8VDwLvdWlQ18FFvke87vzUCo5DDHCsxfsS2n/xu9I4L0BVQN8uie46cN5iGwrscrN5pIjsEZG/ikhilwZ27Rhgi4jkishcN9svpcy7kxl0fPH0hfIEuMkYcxwcF1mgv5s0vlSuc3C0MrrT2fHdHTzuvBX3hw5uZ/hSWY4GThpjCjvY3i3Ls833iNedn1rBcXDXEtP2+flLSdMtiEhvYAPwlDGmus3m3Thuc6QCLwHvd3V818goY8ww4G7gMREZ02a7L5VnIHAvsM7NZl8pz0vlE+UqIs8AjcC7HSTp7Pj2dv8BDATSgOM4bt+05RNl6TSTi7fedLvy7OR7pMPd3Ky7bmWqFRyHEuCWFu+tQFlHaUSkBxDGlTW7epSIBOA4KN81xvy57XZjTLUx5qxzeTMQICL9ujjMq2aMKXP+PAX8BUdzd0uXUubdxd3AbmPMybYbfKU8nU4230Z0/jzlJk23L1dnx8t7gIeMs+NCW5dwfHs1Y8xJY0yTMcYO/B738Xf7sgTX98X9wNqO0nS38uzge8Trzk+t4DhkA7eLyADnf8MzgI1t0mwEmnt8fwf4n44uPt7KeR/4daDAGPObDtLc3Ny3SEQycRwj5V0X5dUTkV4i0qd5GUfHzfw2yTYC3xeHEUBVc/NqN9Thf4e+UJ4ttDwHZwMfuEnzETBZRCzO2x6Tneu6BRGZCiwG7jXG1HWQ5lKOb6/Wpr/bfbiP/1Kuy93BXcBBY0yJu43drTwv8j3ifeenp3tke8sLx1M1h3D02n/GuW4ZjgsNQBCOWwCHgX8At3o65ivI4504mgP3AnnO1zRgHjDPmeZxYD+OJxb+Dtzh6bivIJ+3OuPf48xLc3m2zKcALzvLex+Q7um4rzCvITgqLGEt1nX78sRRYTsOXMDxX9+PcPR5+xgodP6McKZNB15rse8c53l6GPihp/NymXk8jKOPQvP52fzkZjSw2bns9vj21lcH+Xzbed7txfHFGNU2n8737a7L3vpyl0/n+jeaz8cWabtzeXb0PeJ156dO1aCUUkopn6O3qJRSSinlc7SCo5RSSimfoxUcpZRSSvkcreAopZRSyudoBUcppZRSPqeHpwNQSikAEWl+zBTgZqAJOO18X2eMucMjgSmluiV9TFwp5XVEZClw1hiz0tOxKKW6J71FpZTyeiJy1vlznIh8IiJ/EpFDIvIrEXlIRP4hIvtEZKAzXaSIbBCRbOdrlGdzoJTqalrBUUp1N6nAAiAZeBiIN8ZkAq8BTzjTrAb+1RiTATzg3KaUuoFoHxylVHeTbZzzhonIEWCLc/0+YLxz+S5giHMaLoBQEeljjKnp0kiVUh6jFRylVHdzrsWyvcV7O19f0/yAkcaY+q4MTCnlPfQWlVLKF23BMdEoACKS5sFYlFIeoBUcpZQvehJIF5G9InIAxwzrSqkbiD4mrpRSSimfoy04SimllPI5WsFRSimllM/RCo5SSimlfI5WcJRSSinlc7SCo5RSSimfoxUcpZRSSvkcreAopZRSyuf8P6K4oKCFbflwAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot several predictions that are all likely sources of the experimental data\n", "pints.plot.series(np.vstack(samples[:,1000:]), problem)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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