{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "State notebook purpose here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Standard imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:24:07.926955Z", "start_time": "2020-02-19T07:24:07.556114Z" } }, "outputs": [], "source": [ "# Data manipulation\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# Options for pandas\n", "pd.options.display.max_columns = 50\n", "pd.options.display.max_rows = 30\n", "\n", "from IPython import get_ipython\n", "ipython = get_ipython()\n", "\n", "# autoreload extension\n", "if 'autoreload' not in ipython.extension_manager.loaded:\n", " %load_ext autoreload\n", "\n", "%autoreload 2\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "%matplotlib inline\n", "\n", "import time\n", "np.random.seed(int(time.time()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Specific imports" ] }, { "cell_type": "code", "execution_count": 181, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:01:36.191996Z", "start_time": "2020-02-19T11:01:36.159097Z" } }, "outputs": [], "source": [ "from noise_parameters import NOISE\n", "from generate_timeseries import Timeseries, make_params\n", "from noise_properties_plotting import PlotTimeseriesComparison, PlotNoiseColorComparison, PiecewiseNormalize\n", "from scipy.optimize import curve_fit\n", "from neutrality_analysis import KullbackLeibler_neutrality\n", "from neutral_covariance_test import neutral_covariance_test\n", "from scipy import stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Settings figures" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:48:35.678872Z", "start_time": "2020-02-19T07:48:35.605918Z" } }, "outputs": [], "source": [ "from elife_settings import set_elife_settings, ELIFE\n", "\n", "set_elife_settings()" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T09:00:23.203208Z", "start_time": "2020-02-19T09:00:23.163825Z" } }, "outputs": [], "source": [ "import matplotlib.collections as mcol\n", "from matplotlib.legend_handler import HandlerLineCollection, HandlerTuple\n", "from matplotlib.lines import Line2D\n", "\n", "class HandlerDashedLines(HandlerLineCollection):\n", " \"\"\"\n", " Custom Handler for LineCollection instances.\n", " \"\"\"\n", " def create_artists(self, legend, orig_handle,\n", " xdescent, ydescent, width, height, fontsize, trans):\n", " # figure out how many lines there are\n", " numlines = len(orig_handle.get_segments())\n", " xdata, xdata_marker = self.get_xdata(legend, xdescent, ydescent,\n", " width, height, fontsize)\n", " leglines = []\n", " # divide the vertical space where the lines will go\n", " # into equal parts based on the number of lines\n", " ydata = np.full_like(xdata, height / (numlines + 1))\n", " # for each line, create the line at the proper location\n", " # and set the dash pattern\n", " for i in range(numlines):\n", " legline = Line2D(xdata, ydata * (numlines - i) - ydescent)\n", " self.update_prop(legline, orig_handle, legend)\n", " # set color, dash pattern, and linewidth to that\n", " # of the lines in linecollection\n", " try:\n", " color = orig_handle.get_colors()[i]\n", " except IndexError:\n", " color = orig_handle.get_colors()[0]\n", " try:\n", " dashes = orig_handle.get_dashes()[i]\n", " except IndexError:\n", " dashes = orig_handle.get_dashes()[0]\n", " try:\n", " lw = orig_handle.get_linewidths()[i]\n", " except IndexError:\n", " lw = orig_handle.get_linewidths()[0]\n", " if dashes[0] is not None:\n", " legline.set_dashes(dashes[1])\n", " legline.set_color(color)\n", " legline.set_transform(trans)\n", " legline.set_linewidth(lw)\n", " leglines.append(legline)\n", " return leglines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experimental data" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T09:55:10.359892Z", "start_time": "2020-02-19T09:55:09.120928Z" } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>slope_linear</th>\n", " <th>std_slope_linear</th>\n", " <th>pvalue</th>\n", " <th>slope_spline</th>\n", " <th>steady_state</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>species_1</th>\n", " <td>-0.707703</td>\n", " <td>0.019432</td>\n", " <td>9.946906e-07</td>\n", " <td>-1.226732</td>\n", " <td>1262.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_2</th>\n", " <td>-0.756404</td>\n", " <td>0.019007</td>\n", " <td>1.455237e-07</td>\n", " <td>-0.785561</td>\n", " <td>641.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_3</th>\n", " <td>-0.771402</td>\n", " <td>0.020433</td>\n", " <td>2.239110e-07</td>\n", " <td>-0.791151</td>\n", " <td>405.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_5</th>\n", " <td>-0.763854</td>\n", " <td>0.016339</td>\n", " <td>1.295882e-08</td>\n", " <td>-1.550569</td>\n", " <td>367.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_4</th>\n", " <td>-1.314492</td>\n", " <td>0.015137</td>\n", " <td>9.822188e-21</td>\n", " <td>-1.416094</td>\n", " <td>358.00000</td>\n", " </tr>\n", " <tr>\n", " <th>...</th>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " </tr>\n", " <tr>\n", " <th>species_99</th>\n", " <td>-1.112867</td>\n", " <td>0.019582</td>\n", " <td>2.382118e-13</td>\n", " <td>-1.245469</td>\n", " <td>5.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_93</th>\n", " <td>-0.493099</td>\n", " <td>0.020793</td>\n", " <td>7.842600e-04</td>\n", " <td>-1.012660</td>\n", " <td>3.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_60</th>\n", " <td>-0.267688</td>\n", " <td>0.022341</td>\n", " <td>7.507418e-02</td>\n", " <td>-2.207255</td>\n", " <td>3.00000</td>\n", " </tr>\n", " <tr>\n", " <th>species_78</th>\n", " <td>-1.439354</td>\n", " <td>0.014124</td>\n", " <td>8.929784e-25</td>\n", " <td>-1.710482</td>\n", " <td>0.24259</td>\n", " </tr>\n", " <tr>\n", " <th>species_97</th>\n", " <td>-0.449972</td>\n", " <td>0.014803</td>\n", " <td>2.921059e-04</td>\n", " <td>-1.930681</td>\n", " <td>0.00000</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>100 rows × 5 columns</p>\n", "</div>" ], "text/plain": [ " slope_linear std_slope_linear pvalue slope_spline \\\n", "species_1 -0.707703 0.019432 9.946906e-07 -1.226732 \n", "species_2 -0.756404 0.019007 1.455237e-07 -0.785561 \n", "species_3 -0.771402 0.020433 2.239110e-07 -0.791151 \n", "species_5 -0.763854 0.016339 1.295882e-08 -1.550569 \n", "species_4 -1.314492 0.015137 9.822188e-21 -1.416094 \n", "... ... ... ... ... \n", "species_99 -1.112867 0.019582 2.382118e-13 -1.245469 \n", "species_93 -0.493099 0.020793 7.842600e-04 -1.012660 \n", "species_60 -0.267688 0.022341 7.507418e-02 -2.207255 \n", "species_78 -1.439354 0.014124 8.929784e-25 -1.710482 \n", "species_97 -0.449972 0.014803 2.921059e-04 -1.930681 \n", "\n", " steady_state \n", "species_1 1262.00000 \n", "species_2 641.00000 \n", "species_3 405.00000 \n", "species_5 367.00000 \n", "species_4 358.00000 \n", "... ... \n", "species_99 5.00000 \n", "species_93 3.00000 \n", "species_60 3.00000 \n", "species_78 0.24259 \n", "species_97 0.00000 \n", "\n", "[100 rows x 5 columns]" ] }, "execution_count": 133, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f = '../../Data/Faust/25_timeseries/25_timeseries.txt' # Stool A\n", "x = np.loadtxt(f)\n", "\n", "experimental = noise_color(x)\n", "experimental['steady_state'] = np.median(x, axis=1)\n", "\n", "experimental.sort_values(by='steady_state', inplace=True, ascending=False)\n", "experimental.astype(float, copy=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different steady states, different implementations.\n", "\n", "Create stochastic timeseries for non-interacting Lotka-Volterra systems with different steady states. (self-interaction = -1)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:59:35.115563Z", "start_time": "2020-02-19T07:59:35.086310Z" } }, "outputs": [], "source": [ "folder = 'results/without_interactions/'" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:25:15.297038Z", "start_time": "2020-02-19T07:25:12.788136Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 12 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_ts_impl = ['timeseries_Langevin_linear.csv', 'timeseries_Langevin_sqrt.csv', \n", " 'timeseries_Langevin_linear_sqrt.csv', 'timeseries_Langevin_constant.csv',\n", " 'timeseries_Ricker_linear.csv', 'timeseries_Arato_linear.csv',\n", " ]\n", "files_ts_impl = [folder + file for file in files_ts_impl]\n", "\n", "titles = ['Langevin linear', 'Langevin sqrt', 'Langevin linear sqrt', 'Langevin constant',\n", " 'Ricker linear', 'Arato linear']\n", "\n", "implementations = [NOISE.LANGEVIN_LINEAR, NOISE.LANGEVIN_SQRT, NOISE.LANGEVIN_LINEAR_SQRT, NOISE.LANGEVIN_CONSTANT, \n", " NOISE.RICKER_LINEAR, NOISE.ARATO_LINEAR]\n", "\n", "def create_new_files_different_implementations(params):\n", " for f, implementation in zip(files_ts_impl, implementations):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " print(f)\n", " \n", " Timeseries(params, f = f, noise_implementation = implementation, \n", " dt = 0.01, tskip=4, T=100.0, seed=int(time.time()))\n", "\n", "if new:\n", " N = 150\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", "\n", " params = make_params(steadystate)\n", "\n", " create_new_files_different_implementations(params)\n", " \n", "fig = plt.figure(figsize=(15,5))\n", "\n", "PlotTimeseriesComparison(files_ts_impl, titles = titles, \n", " composition = ['ts', 'dx'], fig=fig)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Power spectral density determines noise color" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:49:08.441621Z", "start_time": "2020-02-19T07:49:07.737841Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 471.969x180 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "files_ts_impl = [folder + 'timeseries_Langevin_linear.csv', ]\n", "\n", "fig = plt.figure(figsize=(0.9*ELIFE.FULLWIDTH,2.5)) #poster\n", "\n", "PlotTimeseriesComparison(files_ts_impl, composition = ['ts', 'psd'], vertical=False, fig=fig)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:47:36.377383Z", "start_time": "2020-02-19T07:47:34.748525Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 648x540 with 9 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "files_ts_impl = ['timeseries_Langevin_linear.csv', \n", " 'timeseries_Ricker_linear.csv', \n", " 'timeseries_Arato_linear.csv']\n", "files_ts_impl = [folder + file for file in files_ts_impl]\n", "\n", "titles = ['Langevin linear', 'Ricker linear', 'Arato linear']\n", "\n", "PlotTimeseriesComparison(files_ts_impl, titles = titles, composition = ['ts', 'psd', 'dx'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate multiple timeseries and take mean noise color." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:52:39.598898Z", "start_time": "2020-02-19T07:52:38.365464Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/Documents/VUB DO1/Code/logistic_models/noise_properties_plotting.py:504: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " aspect='auto', alpha=0.75)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x252 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x180 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_noise_impl = ['noise_abundance_Langevin_linear.csv',\n", " 'noise_abundance_Langevin_sqrt.csv',\n", " 'noise_abundance_Langevin_constant.csv',\n", " 'noise_abundance_Ricker_linear.csv',\n", " 'noise_abundance_Arato_linear.csv']\n", "files_noise_impl = [folder + file for file in files_noise_impl]\n", "\n", "labels = ['Langevin linear', 'Langevin sqrt',\n", " 'Langevin constant', 'Ricker linear', 'Arato linear']\n", "\n", "\n", "def mean_noise_color_abundance(steadystate):\n", " noise_colors = {label: pd.DataFrame() for label in labels}\n", "\n", " for file, label in zip(files_noise_impl, labels):\n", " noise_colors[label]['steady state'] = steadystate.flatten()\n", "\n", " for i in range(20):\n", " params = make_params(steadystate)\n", "\n", " create_new_files_different_implementations(params)\n", "\n", " for label, f in zip(labels, files_ts_impl):\n", " x = pd.read_csv(f)\n", " ns = noise_slope(x)\n", " noise_colors[label]['ts %d slope' %\n", " (i+1)] = ns['slope_linear'].values\n", " noise_colors[label]['ts %d std' %\n", " (i+1)] = ns['std_slope_linear'].values\n", "\n", " for label, file in zip(labels, files_noise_impl):\n", " noise_colors[label].to_csv(file)\n", "\n", "\n", "if new:\n", " N = 150\n", " steadystate = np.logspace(-3, 2, N).reshape([N, 1])\n", "\n", " mean_noise_color_abundance(steadystate)\n", "\n", "PlotNoiseColorComparison(files_noise_impl, labels, selfints=1, legend_title='implementation', ax=0, masi=True)\n", "\n", "files_noise = ['noise_abundance_Langevin_linear.csv', 'noise_abundance_Ricker_linear.csv', 'noise_abundance_Arato_linear.csv']\n", "files_noise = [folder + file for file in files_noise]\n", "\n", "labels = ['Langevin', 'Ricker', 'Arato']\n", "\n", "fig = plt.figure(figsize=(4, 2.5))\n", "ax = fig.add_subplot(111)\n", "\n", "PlotNoiseColorComparison(files_noise, labels, selfints=1,\n", " legend_title='Discretization', ax=ax, masi=True)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare Langevin and Ricker implementation" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:52:49.014712Z", "start_time": "2020-02-19T07:52:48.054211Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x216 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6,3))\n", "\n", "mean = 1\n", "sigma = 0.01\n", "dt = sigma**2\n", "\n", "gs = gridspec.GridSpec(1,2)\n", "\n", "for sigma, gsi, title in zip([0.01, 0.5], gs, [r'Small noise $\\sigma$ = 0.01', \n", " r'Large noise $\\sigma$ = 0.5']): \n", " mean = 1\n", " dt = sigma**2\n", "\n", " ax = fig.add_subplot(gsi)\n", " ax.set_title(title)\n", "\n", " N = 100000\n", " \n", " dW = np.random.normal(0,1,N)\n", "\n", " Langevin = mean + mean*sigma*dW\n", " Ricker = mean*np.exp(sigma*dW)\n", " Arato = mean*np.exp((-sigma**2/2)*dt + sigma*dW)\n", "\n", " minX = min(min(Langevin), min(Ricker))\n", " maxX = max(max(Langevin), max(Ricker))\n", " dX = (maxX - minX)/48\n", " bins = np.linspace(minX - dX, maxX + dX, 50)\n", "\n", " for data, label in zip([Langevin, Ricker, Arato], ['Langevin', 'Ricker', 'Arato']):\n", " h, bins = np.histogram(data, bins=bins) \n", " ax.bar(bins[:-1], h/N, width=np.diff(bins), align=\"edge\", alpha=0.5, label=label)\n", "\n", "ax.legend()\n", "ax.set_xlim([-2, 5])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Different timelengths" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:55:16.475091Z", "start_time": "2020-02-19T07:55:16.440554Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "N = 50\n", "\n", "# no immigration\n", "mu = np.zeros([N, 1])\n", "\n", "files_ts_T = ['timeseries_Langevin_linear_timelength%d.csv' % i for i in range(1,6)]\n", "files_ts_T = [folder + file for file in files_ts_T]\n", "\n", "Tlengths = [1000.0, 500.0, 200.0, 100.0, 50.0]\n", "\n", "labels = ['T = 1000', 'T = 500', 'T = 200', 'T = 100', 'T = 50']\n", "\n", "def create_new_files_Langevin_different_timelengths(steadystate):\n", " for i, Tlength, f in zip(range(len(files_ts_T)), Tlengths, files_ts_T):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " params = make_params(steadystate)\n", " \n", " if i == 0:\n", " ts = Timeseries(params, f=f, noise_implementation=NOISE.LANGEVIN_LINEAR,\n", " dt=0.01, tskip=4, T=Tlength).timeseries\n", " else:\n", " ts = pd.read_csv(files_ts_T[0], index_col=0)\n", " ts = ts.iloc[:int(len(ts)* Tlength / Tlengths[0])]\n", " ts.to_csv(f)\n", "\n", "if new:\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " create_new_files_Langevin_different_timelengths(steadystate)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T07:55:17.702886Z", "start_time": "2020-02-19T07:55:17.668025Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "files_noise_T = ['noisecolor_Langevin_linear_timelength%d.csv' % i for i in range(1,6)]\n", "files_noise_T = [folder + file for file in files_noise_T]\n", "\n", "labels = [1, 2, 3, 4, 5]\n", "\n", "def mean_noise_color_abundance():\n", " noise_colors = {label : pd.DataFrame() for label, i in zip(labels,files_noise_T)}\n", " \n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " \n", " for file, label in zip(files_noise_T, labels):\n", " noise_colors[label]['steady state'] = steadystate.flatten()\n", " \n", " for i in range(20):\n", " create_new_files_Langevin_different_timelengths(steadystate)\n", "\n", " for label, f in zip(labels, files_ts_T):\n", " x = pd.read_csv(f)\n", " ns = noise_slope(x)\n", " \n", " noise_colors[label]['ts %d slope' % (i+1)] = ns['slope_linear'].values\n", " noise_colors[label]['ts %d std' % (i+1)] = ns['std_slope_linear'].values\n", " \n", " for label, file in zip(labels, files_noise_T):\n", " noise_colors[label].to_csv(file)\n", "\n", "if new:\n", " mean_noise_color_abundance()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary implementation" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:00:10.729583Z", "start_time": "2020-02-19T08:00:08.797928Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 396.85x216 with 5 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,3))\n", "\n", "gs1 = gridspec.GridSpec(1,1,left=0.65, right=0.95, top=0.92, bottom=0.6)\n", "gs2 = gridspec.GridSpec(1,2,left=0.1, right=0.55, top=0.92, bottom=0.6)\n", "gs3 = gridspec.GridSpec(1,2, left=0.1, right=0.95, top=0.44, bottom=0.1, wspace=0.05)\n", "\n", "ax = fig.add_subplot(gs1[0])\n", "ax.text(0, 1.15, 'C', transform=ax.transAxes,\n", " fontsize=10, fontweight='bold', va='top', ha='left')\n", "\n", "files_noise = [folder + 'noise_abundance_' + imp + '.csv' for imp in \n", " ['Langevin_linear', 'Ricker_linear', 'Arato_linear']]\n", "\n", "labels = ['Langevin', 'Ricker', 'Arato']\n", "\n", "all_data = [pd.read_csv(file) for file in files_noise]\n", "turn_data = [df.iloc[np.arange(i, len(df), len(files_noise))] for i, df in enumerate(all_data)]\n", "\n", "PlotNoiseColorComparison(turn_data, labels, selfints=1, legend_title='Discretization', ax=ax, masi=True)\n", "ax.set_ylabel('Slope power \\n spectral density')\n", "\n", "handles, labels = ax.get_legend_handles_labels()\n", "ax.legend(handles, labels, title='Discretization')\n", "\n", "for i, sigma, gsi, title in zip(range(2), [0.05, 0.5], gs2, \n", " [r'Small noise $\\sigma$ = 0.05', 'Large noise $\\sigma$ = 0.5']):\n", " if i == 1:\n", " ax = fig.add_subplot(gsi, sharey=ax)\n", " else:\n", " ax = fig.add_subplot(gsi)\n", " \n", " mean = 1\n", " dt = sigma**2\n", "\n", " N = 100000\n", "\n", " dW = np.random.normal(0,1,N)\n", "\n", " Langevin = mean + mean*sigma*dW\n", " Ricker = mean*np.exp(sigma*dW)\n", " Arato = mean*np.exp((-sigma**2/2)*dt + sigma*dW)\n", "\n", " minX = min(min(Langevin), min(Ricker))\n", " maxX = max(max(Langevin), max(Ricker))\n", " dX = (maxX - minX)/48\n", " bins = np.linspace(minX - dX, maxX + dX, 50)\n", "\n", " h, bins = np.histogram(Langevin, bins=bins) \n", " ax.bar(bins[:-1], h/N, width=np.diff(bins), align=\"edge\", alpha=0.5, label='Langevin')\n", " h, bins = np.histogram(Ricker, bins=bins) \n", " ax.bar(bins[:-1], h/N, width=np.diff(bins), align=\"edge\", alpha=0.5, label='Ricker')\n", " h, bins = np.histogram(Arato, bins=bins)\n", " ax.bar(bins[:-1], h/N, width=np.diff(bins), align=\"edge\", alpha=0.5, label='Arato')\n", " \n", " ax.text(0, 1.15, 'A' if i == 0 else 'B', transform=ax.transAxes,\n", " fontsize=10, fontweight='bold', va='top', ha='left')\n", " ax.text(0.15, 1.15, title, transform=ax.transAxes, va='top', ha='left')\n", "\n", " if i > 0:\n", " ax.tick_params(axis='both', left=True, labelleft=False)\n", " ax.set_xlabel('Ratio of abundances ' \n", " + r'$x(t+\\delta t) / x(t)$', ha='right', x=1)\n", " if i == 0:\n", " ax.legend()\n", " ax.set_ylabel('Relative count')\n", " \n", "ax.set_xlim([-2, 5])\n", "\n", "ax = fig.add_subplot(gs3[0])\n", "ax.text(0, 1.15, 'D', transform=ax.transAxes,\n", " fontsize=10, fontweight='bold', va='top', ha='left')\n", "\n", "files_noise_T = [folder + 'noisecolor_Langevin_linear_timelength%d.csv' % i for i in range(2,6)]\n", " \n", "labels = [500, 200, 100, 50]\n", "\n", "all_data = [pd.read_csv(file) for file in files_noise_T]\n", "turn_data = [df.iloc[np.arange(i, len(df), len(files_noise_T))] for i, df in enumerate(all_data)]\n", "\n", "pncc = PlotNoiseColorComparison(turn_data, labels, selfints=1, legend_title='Length simulation time', ax=ax, masi=True)\n", "pncc.change_number_columns_legend(2)\n", "ax.set_xlabel('')\n", "ax.set_ylabel('Slope power \\n spectral density')\n", "\n", "ax = fig.add_subplot(gs3[1])\n", "ax.text(0, 1.15, 'E', transform=ax.transAxes,\n", " fontsize=10, fontweight='bold', va='top', ha='left')\n", "\n", "\n", "files_noise_dt = [folder + 'noise_abundance_Langevin_dt%d.csv' % i for i in range(1,5)]\n", "\n", "labels = ['0.0005', '0.001', '0.005', '0.01'] \n", "\n", "all_data = [pd.read_csv(file) for file in files_noise_dt]\n", "turn_data = [df.iloc[np.arange(i, len(df), len(files_noise_dt))] for i, df in enumerate(all_data)]\n", "\n", "pncc = PlotNoiseColorComparison(turn_data, labels, selfints=1, legend_title='Fundamental time step', ax=ax, masi=True)\n", "pncc.change_number_columns_legend(2)\n", "ax.set_ylabel('')\n", "ax.tick_params(axis='both', left=True, labelleft=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different self-interaction strengths" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:02:26.588382Z", "start_time": "2020-02-19T08:02:13.590674Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 10 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_ts_selfints = [folder + 'timeseries_Langevin_selfint%d.csv' % i for i in range(1,6)]\n", "\n", "titles = ['-0.5', '-1', '-2', '-10', '-100']\n", "\n", "def create_new_files_different_selfinteractions():\n", " N = 150\n", "\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " \n", " selfinteractions = [0.5, 1, 2, 10, 100]\n", "\n", " for f, selfinteraction in zip(files_ts_selfints, selfinteractions):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " params = make_params(steadystate, selfint=selfinteraction)\n", " \n", " Timeseries(params, f = f, noise_implementation = NOISE.LANGEVIN_LINEAR, \n", " dt = 0.01, tskip=4, T=100.0, seed=int(time.time()))\n", "\n", "if new:\n", " create_new_files_different_selfinteractions()\n", " \n", "PlotTimeseriesComparison(files_ts_selfints, titles = titles, composition=['ts', 'nc'])\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "new = False\n", "\n", "def mean_noise_color_abundance():\n", " files_ts_selfints = [folder + 'timeseries_Langevin_selfint%d.csv' % i for i in range(1,6)]\n", " files_noise_selfint = [folder + 'noise_abundance_Langevin_selfint%d.csv' % d for d in range(1,6)]\n", " labels = ['-0.5', '-1', '-2', '-10', '-100']\n", " \n", " N = 150\n", " \n", " noise_colors = {label : pd.DataFrame(index=['species_%d' % i for i in range(1,N+1)]) for label in labels}\n", " \n", " for file, label in zip(files_noise_selfint, labels):\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " noise_colors[label]['steady state'] = steadystate.flatten()\n", " \n", " for i in range(20):\n", " create_new_files_different_selfinteractions()\n", "\n", " for label, f in zip(labels, files_ts_selfints):\n", " x = pd.read_csv(f)\n", " ns = noise_slope(x)\n", " noise_colors[label]['ts %d slope' % (i+1)] = ns['slope_linear'].values\n", " noise_colors[label]['ts %d std' % (i+1)] = ns['std_slope_linear'].values\n", " \n", " for label, file in zip(labels, files_noise_selfint):\n", " noise_colors[label].to_csv(file)\n", "\n", "if new:\n", " mean_noise_color_abundance()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:22:13.907572Z", "start_time": "2020-02-19T08:22:13.218163Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/Documents/VUB DO1/Code/logistic_models/noise_properties_plotting.py:505: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " else:\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x144 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 2.09919542 2.86702746 1.14133479 -1.77108643]\n", "The parameters of the sigmoid function are: amplitude = 2.099E+00, x0 = 2.867E+00, k = 1.141E+00, offset = -1.771E+00\n" ] } ], "source": [ "files_noise_selfint = [folder + 'noise_abundance_Langevin_selfint%d.csv' % d for d in range(1,6)]\n", "labels = ['-0.5', '-1', '-2', '-10', '-100']\n", "selfints = [0.5, 1, 2, 10, 100]\n", "\n", "fig = plt.figure(figsize=(4,2))\n", "ax = fig.add_subplot(111)\n", "\n", "all_data = [pd.read_csv(file, index_col=0).dropna() for file in files_noise_selfint]\n", "turn_data = [df.iloc[np.arange(0, len(df), len(files_noise_selfint))] for i, df in enumerate(all_data)]\n", "\n", "nc_plot = PlotNoiseColorComparison(turn_data, labels=labels, selfints=selfints, \n", " legend_title='Self-interaction', ax = ax)\n", "nc_plot.set_limits([1e-4, 1e3, -3, 1.5])\n", "nc_plot.change_number_columns_legend(2)\n", "ax.set_ylabel('Slope power \\n spectral density')\n", "\n", "f, selfint = files_noise_selfint[0], selfints[0]\n", "\n", "data = pd.read_csv(f)\n", "x = np.log10( data['steady state'] * selfint ) # steady state * self-interaction\n", "y = np.mean( data[[col for col in data if col.endswith('slope')]].T )\n", "\n", "def sigmoid(x, amplitude, x0, k, offset):\n", " return amplitude * 1.0/(1.0 + np.exp(-x0*(x-k))) + offset\n", "\n", "data.dropna(inplace=True)\n", "\n", "pars, pcov = curve_fit(sigmoid, x, y, [1,1,1, -1.5])\n", "\n", "ax.plot(np.logspace(-3.5,2.5,100), sigmoid(np.log10(np.logspace(-3.5,2.5,100)), \n", " pars[0], pars[1], pars[2], pars[3]), c = 'k')\n", " \n", "plt.show()\n", "\n", "print(\"The parameters of the sigmoid function are: amplitude = %.3E, x0 = %.3E, k = %.3E, offset = %.3E\" % tuple(pars))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These curves are translations of each other if mean abundance on the x-axis" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:23:14.780567Z", "start_time": "2020-02-19T08:23:14.589252Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "files_noise_selfint = [folder + 'noise_abundance_Langevin_selfint%d.csv' % d for d in range(1,6)]\n", "labels = ['-0.5', '-1', '-2', '-10', '-100']\n", "\n", "for f, label in zip(files_noise_selfint, labels):\n", " x = pd.read_csv(f)\n", "\n", " x = x[[col for col in x if col.endswith('slope')]]\n", "\n", " sigma_shape = np.mean(x.T).values\n", " \n", " x_shift = np.nanargmin(abs(sigma_shape+0.75))\n", " \n", " plt.plot(range(-x_shift, len(sigma_shape)-x_shift), sigma_shape)\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different growth rates" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:23:51.177756Z", "start_time": "2020-02-19T08:23:37.637821Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 10 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_ts_growth_rates = [folder + 'timeseries_Langevin_growth_rate%d.csv' % i for i in range(1,6)]\n", "\n", "titles = ['0.5', '1', '2', '10', '100']\n", "\n", "def create_new_files_different_growth_rates():\n", " N = 150\n", "\n", " params = {}\n", "\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", "\n", " # no immigration\n", " params['immigration_rate'] = np.zeros([N, 1])\n", "\n", " params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", " params['noise'] = 1e-1\n", "\n", " params['noise_linear'] = 1e-1\n", " params['noise_sqrt'] = 1e-2\n", "\n", " growth_rates = [0.5, 1, 2, 10, 100]\n", "\n", " for f, growth_rate in zip(files_ts_growth_rates, growth_rates):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " # different growth rates determined by the steady state\n", " g = np.full([N,1], growth_rate)\n", " params['growth_rate'] = g\n", " \n", " # no interaction + calculate selfinteraction\n", " omega = np.zeros([N, N]); np.fill_diagonal(omega, - g / steadystate)\n", " params['interaction_matrix'] = omega\n", " \n", " Timeseries(params, f = f, noise_implementation = NOISE.LANGEVIN_LINEAR, \n", " dt = 0.01, tskip=4, T=100.0, seed=int(time.time()))\n", "\n", "if new:\n", " create_new_files_different_growth_rates()\n", " \n", "PlotTimeseriesComparison(files_ts_growth_rates, titles = titles, composition=['ts', 'nc'])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different noise strengths Langevin linear." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:25:13.715064Z", "start_time": "2020-02-19T08:25:08.976139Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 10 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "N = 150\n", "steadystate = np.logspace(-3,2,N).reshape([N,1])\n", "\n", "params = make_params(steadystate)\n", "\n", "files_ts_sigma = [folder + 'timeseries_Langevin_linear_sigma%d.csv' % i for i in range(1,6)]\n", "\n", "titles = ['$\\sigma$ = 0.01', '$\\sigma$ = 0.1', '$\\sigma$ = 0.2', '$\\sigma$ = 0.25', '$\\sigma$ = 0.3']\n", "\n", "noise_strength = [0.01, 0.1, 0.2, 0.25, 0.3]\n", "\n", "labels = ['$\\sigma$ = 0.01', '$\\sigma$ = 0.1', '$\\sigma$ = 0.2', '$\\sigma$ = 0.25', '$\\sigma$ = 0.3']\n", "\n", "def create_new_files_Langevin_different_noise_strengths():\n", " for f, noise in zip(files_ts_sigma, noise_strength):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " params['noise_linear'] = noise\n", " \n", " Timeseries(params, f = f,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt = 0.01, tskip=4, T=100.0)\n", "\n", "if new:\n", " create_new_files_Langevin_different_noise_strengths()\n", "\n", "ts_plot = PlotTimeseriesComparison(files_ts_sigma, titles, composition=['ts', 'disdx'])\n", "ts_plot.axes['disdx'][0].set_ylim([1e-3, 1e2])\n", "for ax in ts_plot.axes['disdx']:\n", " ax.set_xlim([1e-4, 1e3])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:27:16.046611Z", "start_time": "2020-02-19T08:27:15.373406Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/Documents/VUB DO1/Code/logistic_models/noise_properties_plotting.py:505: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " aspect='auto', alpha=0.75)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x252 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_noise_sigma = [folder + 'noise_abundance_Langevin_linear_sigma%d.csv' % i for i in range(1,6)] \n", "noise = ['0.01', '0.1', '0.2', '0.25', '0.3'] \n", "\n", "def mean_noise_color_abundance():\n", " noise_colors = [pd.DataFrame() for i in range(len(files_noise_sigma))]\n", " \n", " for i in range(len(files_noise_sigma)):\n", " noise_colors[i]['steady state'] = initcond.flatten()\n", " \n", " for i in range(20):\n", " create_new_files_Langevin_different_noise_strengths()\n", "\n", " for j, f in enumerate(files_ts_sigma):\n", " x = pd.read_csv(f)\n", " ns = noise_slope(x)\n", " noise_colors[j]['ts %d slope' % (i+1)] = ns['slope_linear'][1:].values\n", " noise_colors[j]['ts %d std' % (i+1)] = ns['std_slope_linear'][1:].values\n", " \n", " for i in range(len(files_noise_sigma)):\n", " noise_colors[i].to_csv(files_noise_sigma[i][0])\n", "\n", "if new:\n", " mean_noise_color_abundance()\n", " \n", "PlotNoiseColorComparison(files_noise_sigma[::-1], labels, selfints=1, \n", " legend_title='Noise strength $\\sigma$', ax=0, masi=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different noise strengths Langevin constant" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:27:58.497459Z", "start_time": "2020-02-19T08:27:58.461449Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "N = 150\n", "\n", "params = {}\n", "\n", "steadystate = np.logspace(-3,2,N).reshape([N,1])\n", "\n", "# no interaction\n", "omega = np.zeros([N, N]); np.fill_diagonal(omega, -1)\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "\n", "params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", "params['noise'] = 1e-1\n", "\n", "params['noise_linear'] = 1e-1\n", "params['noise_sqrt'] = 1e-2\n", "\n", "files_ts_constant_sigma = [folder + 'timeseries_Langevin_constant_sigma%d.csv' % i for i in range(1,6)] \n", "\n", "noise_strength = [0.01, 0.1, 0.2, 0.5, 1]\n", "labels = ['$\\sigma$ = 0.01', '$\\sigma$ = 0.1', '$\\sigma$ = 0.2', '$\\sigma$ = 0.5', '$\\sigma$ = 1']\n", "\n", "def create_new_files_Langevin_constant_different_noisestrengths():\n", " for f, noise in zip(files_ts_constant_sigma, noise_strength):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " params['noise'] = noise\n", " \n", " Timeseries(params, f = f,\n", " noise_implementation = NOISE.LANGEVIN_CONSTANT,\n", " dt = 0.01, tskip=4, T=100.0)\n", "\n", "if new:\n", " create_new_files_Langevin_constant_different_noisestrengths()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:32:08.489849Z", "start_time": "2020-02-19T08:32:01.006681Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 10 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ts_plot = PlotTimeseriesComparison(files_ts_constant_sigma, labels, composition=['ts', 'disdx'])\n", "ts_plot.axes['disdx'][0].set_ylim([1e-4, 1e1])\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:38:45.456764Z", "start_time": "2020-02-19T08:38:44.787913Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/Documents/VUB DO1/Code/logistic_models/noise_properties_plotting.py:504: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " self.background = self.ax.imshow(x, cmap=noise_cmap_ww, vmin=noise_lim[0], vmax=noise_lim[1], extent=(0, 200, -3, 0.9),\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x252 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_noise_constant_sigma = [folder + 'noise_abundance_Langevin_constant_sigma%d.csv' % i for i in range(1,6)]\n", "\n", "labels = ['0.01', '0.1', '0.2', '0.5', '1']\n", "\n", "def mean_noise_color_abundance():\n", " noise_colors = [pd.DataFrame() for i in range(len(files_noise_constant_sigma))]\n", " \n", " for i in range(len(noise_colors)):\n", " noise_colors[i]['steady state'] = initcond.flatten()\n", " \n", " for i in range(20):\n", " create_new_files_Langevin_constant_different_noisestrengths()\n", "\n", " for j, f in enumerate(files_ts_constant_sigma):\n", " x = pd.read_csv(f[0])\n", " ns = noise_slope(x)\n", " noise_colors[j]['ts %d slope' % (i+1)] = ns['slope_linear'][1:].values\n", " noise_colors[j]['ts %d std' % (i+1)] = ns['std_slope_linear'][1:].values\n", " \n", " for i in range(len(files_noise_constant_sigma)):\n", " noise_colors[i].to_csv(files_noise_constant_sigma[i])\n", "\n", "if new:\n", " mean_noise_color_abundance()\n", " \n", "PlotNoiseColorComparison(files_noise_constant_sigma[::-1], labels, selfints=1, \n", " legend_title='Noise strength $\\sigma$', ax=0, masi=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different initial conditions" ] }, { "cell_type": "code", "execution_count": 208, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T12:30:36.743154Z", "start_time": "2020-02-19T12:30:34.751482Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 864x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "N = 5\n", "\n", "params = {}\n", "\n", "steadystate = np.logspace(-2,2,N).reshape([N,1])\n", "\n", "# no interaction\n", "omega = np.zeros([N, N]); np.fill_diagonal(omega, -1)\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "\n", "params['noise'] = 1e0\n", "\n", "files_ts_ic = [folder + 'timeseries_Langevin_linear_initcond%d.csv' % i for i in range(1,5)]\n", "\n", "deviations = [1.5, 3, 5, 10]\n", "\n", "labels = ['$\\delta$ = 1.5', '$\\delta$ = 3', '$\\delta$ = 5', '$\\delta$ = 10']\n", "\n", "def create_new_files_Langevin_different_initial_conditions():\n", " for f, deviation in zip(files_ts_ic, deviations):\n", " if os.path.exists(f):\n", " os.remove(f)\n", " \n", " signs = np.random.choice([-1,1], steadystate.shape)\n", " params['initial_condition'] = np.copy(steadystate) * deviation**signs\n", " \n", " Timeseries(params, f = f,\n", " dt = 1e-5, tskip=4, T=5e-2)\n", "\n", "if new:\n", " create_new_files_Langevin_different_initial_conditions()\n", " \n", "PlotTimeseriesComparison(files_ts_ic, labels, composition=['ts', 'psd'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Very fast convergence to steady state. No large influence on noise color." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different fundamental time steps" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:35:00.875505Z", "start_time": "2020-02-19T08:34:56.305972Z" } }, "outputs": [ { "data": { "image/png": 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wlHLYPvij7AAfAZbnt+8+0XW1tbVy6tSp8pZbbpFHY9WqVUfd/1ZyrtgcLrtnmk1gvRyC9pWGzy2bw2V3uDSsyvjsszlcds8lDat6PftsnsjuYDQ8LFNlhBAVQojbgLn50fb7gfcKIX4OnHBdpmg0ypIlS1i4cOERx+z4foSbesM+6Tn+/9I75bxKKfHs1FGPudmewx9Cjp2G52L3N566bdcGwHOyeHb6jbYz3SDlMe/JczJHPXas891s3xF233idb0tKCdIdSMfL9R+1fKTnHteulBLpWkfNy8A9WAm8XPyox5xU28D1UnpHzfPhto9WR1JK7L49R5x3ovo8HRxfw/tAOm/Y5znZ45aXm+07bhkczjHvz7OQTu6k0gCQroV0LTIHn8OzEse0dXQdSqTnIrzsUfefLqRrn3K7P7x87Pi+Nxxz053H1OSha71c/zHTlJ5zzPI/Gd2d7vIZCsfTsJ5rw+7bDfi+YOD+j3GPnpU8ph0pPXIdG9+wz832nXQ7tfsbB6WDoSBdayB/6b1/xbMSSCeXz8vx/Z6TbD5heSHdI/qEE+bpsDRf3/YGfL+U0s/nm2wer5w9J4ubaj/qMTfTdcpa9ZzsYdsZnMSBU7r+VDmWhqXnoFud/vbh5XZY+307+ok3czIa9mOW9FH90ODtHhY4HqOf8XLxgfrzy+n1vHpO5uT7Jyf3Bh28MR+n7suPpkHp5PzPm/IJvo8/vG4PtbPX48ijxwiHyuaIWOcE7X0wDMuXU6WU3cCn3rT7Y6cj7fTu+6ndeStN+/8PQg8ghI6bbscsn0audS1m2RS0UDletgc0HWlnCFROx+7bixYqQw9Xkt77V7RQOWbJOHLtG0C6BKvPB81AehZ6uAq7bzdO327MihnY3duoC9Sxb2MLZtlkAtXzsTo3EaxdRGbvI2ihMpxEk287WIoT34serUELlBAecwXSzZFpeho9Wguejd23G7t7O1K6BEfMxe7fD65N8Xmfxkm2kN79IF6ujzHA/k2AZmKWjEe6OfSikXjpDj/g8GzCo6/E6tpCsOZ83HQHdm8DIlBEbPKNZJufxygajWenyLW8gBauxIm/HshqwVLQAxiRGpxUC3qoAi1cweiWdezf5FF83ufo3/hT0AMEyqZglk/DTbUhPQurawvhMe/ATTYjPQer4xX0aC3STqMX1WN3vwaAUTrR/z9Wj5vpRNpptFA5eA5eLo4wI4THXElNw2N0OZcgAjHSex/2y758GmbZZJz4Xqzu1zCKx+Jlu9ECJYhAFC/bhxYsxrNT6OEqtFA5dtcW9KJRmCXjyLauQw9VYBSP8QPQ/Y8SqDoPL9eHl+sjMObfgKWnQ5YnjZSSnme+yKj9K2mLX0Jm/2MEq8/H7tuNZycRRojI2Kv8hxo7iRGpxkm1YrW/gggUoQVLEEJDSg+zdCK59vV4mS5EoIhAxUyQHk6qlWDVbJxkM2bJBNxMJ0bJeMZs+1/2b4bI+Hdh9+7CKJmAkzyA07cXLVyJWTwWvWgkubaX/Lw6WdzkQYQRRjoZIuNXkN77EMKMEp14Hbm29di9Db6WIiOIjHkH2ebnAYEWKsUsmcCoXQ/Q3DIDO74HPVqLkw/2zLJJaOEq3HQHQjMI1i5Gulmcvj0YRaMIj7sGu7cBu6cBo2gU2ebnsTo3EZ18A7nWlwjWnI/VtQW7t4HAiHm4mS70UDlasJTqvl72bdkO0iNQMQO7bzeByllIN0egcjaZpqcG/s4eWIVeNJpA5Uzs7tfwnDTSSqKFKzGKRub9iEFwxHzsnu1IJ4PVtQU9UkOgeh651nXo4Qqk5zLCLaG5MYnTf4BA9XyE0Pw22bcLo3gs0smgBWJo4Sq8bA9m+TS8XJzsgZUEaxehR6rx7CTZpqcJ1V+Cm+lAaAGsrs0YRWMIVM8D6eFZ/Zilk5CehdCue1v1C+DZKSoOfJ+OTg+jZCxO4oDfroOluOl29MgIcu3r0aN1hMdcgdW1Fat9PVpkBOGRl2KUjAfp0v/qTzGKR2P37gTAKJngp5/t9g1JiVE2ES/dRWjUUnKta6lLp2jcnkaPVGEUjcHq2ozQQ7jZLqSd8ttS/z6QHkbJeLx0J2blDITQ8ewkeC523y4AhBEhVLcYLVyJm2rN19VujGgdIlCU9202ldTT+dTdZJtWAgLPTiA0Ey/bix6rR3o2bqoFo2gMQjdBaIDA7t5GsOYCcm0vYpZPQ9ppPCuOFq5ECA27dydm+TTsnu0AA/2WWTaJkf1tNG5KEKxdhFkxHbtnB8Gq87C6tuJmOvFyfQSr5+Pm+nD6mzDLJpNtegqzfCpetg8325Xv48ZjdW3BKB6L078faafQwlVExr/Lvwc7SWrHXRilEwnWLKR+92Mc2FuC0A20UKVfF3oAPTwCo2Qsdtc2grWLSGy5Hek5GEWjwXOQnkXRzE/Qv/GnaOFK8Fz0yAi0YAl2fC9m6SSc/v24qVaCNQvJND6BWTbJD7rG/vztljBOoonanZ+hufv72D0NSDuJMKOAQAid0OjLyOx/nEDej2pGiNDIZVjdW3HTHfk+JYeXbscsm0qucyNID82MgDDw7CRu4kC+rvV83LCA2u1/orm5HDu+FyNWhx6tw4jVkmvfMDBAZkRqwAjipdvRItW4qTacvt3osZG4yYO+VsKVvt83o4TqLyHXvh6zZDxaoJhM05MEqucjrQRCD2F1baYmPIl9G3cRmXAt6T1/Ri8ajVk6AT1SDZ5Datd9BOsuJNfygp9+sJRA5SzcXC9O7y6EGcXL9mCUTsSI1ZPreBWhBwiUT0O6Frm2F9GjtRgl45CuhZs4SJ2j0dI2CjfTiTBCBMqnI90s2Za16JERoOkgJV6mK+83anDTbQRrF2PH9yC0AAjN7+Nz/ejhCgJV5yGEhh6txuraRmb/40g3S2DEPBCCSquYrpX3k2l8Es/qR2gGIEC6hMdciZvpItuyBi1YitACCE3HSbUCAmmniExYQabpaQIVM9CjtXi5PrRAMUgXq2sr0slglIzHiNWRbXsJoQcJ1S8B8wOnVZ/DOsd9sCxYsECuX7/+mMefe+IeFp0/F89OEaiclQ9WWvxRCiuBWTYZoQfJHliFl+3FzfURqJiJm27FLJmAHqtDaCZOfyPCCPsBUaAY8J+e3OQBrJ4dhGoXk2t/mUDlLNa99Arzxgd9Z5ntRjOjZBqfJDTqMsyySbipVuyeHQNOOdf+KnqsllzLC5ilEwmNvAQ7vh8tEMMsnYRnJ3yhplrzAW2G9P5HCFTMIDr5bxBC8OxTD3HRRYuxe3diFI/B6n4NN9VKqHYxetEo7J4dgPQDKzuFUTQaLViCl4sPPCgcCrzC464GBNJKIJ0Mie2/o3j2p/wA2kmhBctx+nYjPYt1DWkWjrXxrH6iE6/3H2icNLm2l/0HiPzDTbb5OYyi0QNBpHTSCDOKtJK4mU4/yNRDaMEScm0vERgxD6EH8rUo/E5B6GRb1vDaxheYPmcxQtNxMz0YJeP8+rDihOqXIKVL9uAzhEYu9e/X6h8IyNxUK1qgxO+YhcDL9ODZSYLVC9ACMXIdr+IkDhComAGA3dtAaORSnl3zEkuXLj2qxoQQQ5pbeSINv3z/Lcxa/G4ClTNwEk1ogRI/sO3fR651HU5/E9HJN+Cm2jBLJ6FHq8l1vIqX6ydQOQOE5h8rm4z0bHBtnORBrM5NBKpmI8wYRqSGZMMfcRKNmKWT2LKrnfmLluEkmgiMmIvdswOjdCLSyfrB8YFVWN3biE58D8KMokdrSe95kGDtYtxUq+9k7RR6pAqrczOhkUtwk60YxWMQmoHVvR3p2YRqLyDb+iJOfC8bOkZzycUXYHe/hlk+BbtvD3qoHGGEcfob0cLl/oNyTwNoOkasHqungUzj4+jRWkJ1F2L37EAPV2EUj8ZJHCRYs5Bs87OY5VMRRgQ31eq3ec3ESTTx8ponOX/JNX5AUzIOhIaX6wPpkdz+e0oWfAm7twEv10do5FLsnu14dsoPJJwMQg/iZroQCBACESjG7mkgWD0fLVCMdHPYvQ3kOl7FLJ2Ake8E1zx6BwsXL0WP1pLafT+Bipl4uTjSswhWL0APleFmuvGyPf7DfrJ5YNQsUDEdp38/CJ1A1RzsntfyZdTkP4CMmIfdsx0tWIJ0snhWAi1YzNptPSxddvnbruHVq1dz6SVL/Ac16RCsuQDp2WiBIuzeBsyyqWQOrERoJoHKmUg7jZQOmcanAJH3A8IPjBIHCNUtBvyAwfcdpTj9+3Hijf45/U0Eq+fx7OqnuOj8maAHBh7i9Vg9Vtdm/22SdH1t9zYgnRx6uAKrazNm+VTSex4mVLcYo3gsaAa4FnbvTrxcH1bPdiIT3o1ZPM5/gEy1ktn/BMVzP8e6J+7kvGn1GMVjMIrH4abb0cwobrbHD/LNCHgunpNBCxTh5XoRWgDPTiDtFJ6VwCgajTAj+QGeqQCkdt1HbPKN9G/6BWb5VIyikehRP4jbsO0giy+9Gie+FzfVSqByFrn29WihCqSTJli7mFTDXRjFYwlUzvQfJqO16JFqcu3riYy7BifZjN27k0DZFIQR9gPLyAj/gbX5OXBzeFa/H/QgcFOtvLjb5dKll2F3bUEESzBi9XhWAqt9Qz7YrAckZsXMfDsO4WV7yTY/h93fSLBmIYGK6WiBYrxcL3bfbt+/5NuJEAKnv4ls83ME6y9GD1fy7JqXh8UPP/P0o1x0/gzs+N6Be5Geg2bG/Ifjssm46Q4/UC8aidW5GT1Wh1k+DadvF9JzMEsnkmlaSajuQkSgyB+k2/swwdpFpPc/5msmWoMWLCPTtJJXWsu56II5oBn0b/wZsanvR9ppMgefIVAxg/DoK/xYxnMQZgTpZJFuFj1Si2ZGsLq2+hqvmuP3G6EKsgdXI4wogapZeNlepJ3yBzIiI7A6N+MkmtjRU8l5c2aDm0MLV+QHOteRPbAKo3gswdqFSNdCj9b4g2/RWv8hM1CCm2zGs5Mkd9xFoHImRqye0Khl2F1bcdLtaIESpJtFCB0tUIQWGYEWKOb51Y+zaP40Mk1PExwxDy1YjNW1lVDtYozi0UjXJr33IUKjluLE92GWTfbf7AqBHh5BpulpwmOuRLo5hNBJNtyFdHIIPYh0Mnh2gsjYd2KWTSG1+wGM4nFsfvFxZs5Z4OezaBTgvxly+ptwEk3okRGY5dMRRhA3cQC9aLT/UG/FQWgktv6KQMVMhB5Aj9agR0bk+yaTYM0ChNBI738cN91BdPIN2D07MMun8uzzL55eDZ/q3Joz4TNx4kR50003yb/85S9HnTN0rsydOhPna50rNhni3Eql4XPL5nDZHS4NqzI++2wOl91zScOqXs8+myeyOxgNn5E/wKRQKBQKhUKhUCjeyLDMcR8q6meKFYWO0rCi0FEaVhQ6SsOKQqQgR9zj8Tg333wzDz10wgVoFIozEqVhRaGjNKwodJSGFYWIGnFXKIYBpWFFoaM0rCh0lIYVhUhBjrgrFAqFQqFQKBTnGkMK3IUQwzJir15vKQodpWFFoaM0rCh0lIYVhcigA28hxLeAccCHhRA/kFJ+4fRl6/io11uKQkdpWFHoKA0rCh2lYUUhMpQR8yJgZ3775H7L9iQRQlwCLAZapJS/O51pKxQKhUKhUCgUhchQAncJ1AohlgM1p3KhEGI88A2gREp5gxAiCvwMsIDVQL2U8rtCiK8OIX8KhUKhUCgUCsVZw1DmuH8T2ASMAj57KhdKKfdKKT9x2K7rgfuklDcB7x5CnhQKhUKhUCgUirMS4f/i6iAuFOKjUsrf5rc/IKW8axBp3Jcfcf8a8KiUcqMQ4g/AbcCFQPPRpsrU1NTIkpKSgb+XL1/OihUrBv5OJpPEYrFTv6khcK7YHC67Z5rNZcuWbZBSLhhs2krD55bN4bI7XBpWZXz22Rwuu+eShlW9nn02T2R3UBqWUg7qA/znYdv/Mcg07sv//xFgeX777hNdV1tbK6dOnSpvueUWeTRWrVp11P1vJeeKzeGye6bZBNbLQbYdqTR8ztkcLrvDpWFVxmefzeGyey5pWNXr2WfzRHYHo+GhzHEvFkJ8An+ue/mpXCiEqAC+DczNj7b/GPipEOJdwAnXZYpGoyxZsoSFCxcOItsKxakf4EQAACAASURBVPCjNKwodJSGFYWO0rCiEBlK4P4Z4B2HbZ80Uspu4FNv2v2xIeRFoVAoFAqFQqE4qxlK4L4MuBYIAjcCHz8tOToJ1NqrikKnEDWcsnMEdANT04c7K4ozgELU8LmE47m4UtKVTVEfLTnxBecgSsOFiZQSIcRwZ2PYGMqqMtcBX8IfOf/06cnOyXGm/dpZznW4P76PH257lrRj8fMdL9CcitMQ76Ah3sHmnpZTTrMvl+H+/VvoyaWPe15zKs7+RA8AW3pa+fu193PNE//DHTtf5J59Gw99l+CYNqSU9FvZ456nOP2caRo+EQk7y+wH/4sLH/4x39n8NH9u3Hra0nY9jx9ve44X2vezK97J97eu5puvPMbKll081LSNe/ZtPG22hsqe/i66sim+t3kljcmeIafnet5pyNXwUGgafrtZ2bKLv197P5708OTbV8851+Fn29ew8KEfUX3XNxl9z7cYf++32dLTOnBO3MrQm0vzix1r+dtn7yJl5962/J1JKA2fuWztbeWVroNHtJ2WdBzj11/mxc5G/nfXS29r2zpTGMqIezMQBs7YUrM9F2BghDDj2DzWvIN31k8hrJtIJJp447PLy51NVIaijCuqOG7aUkpe62vn2bY9fG7dA4zQQyxo8fj3TU9RGYryubX3M7e8nqxrE9ANdCEYESqiPZPgk1Mu4F0jp7O6bQ+vdB/ks9Mu4kCqjyIzyOrW3Riaznc3r6QjmwTgizMv5Xvnr8ByHe7dv5lNPc0YQmdj504ev+dhACqDUbpyKf75vCtZMXoG39/6DOXBCD/a9hylgTA3T1nEtWNmDuR/e187Vz72C6JGgISToz2TYH7FSFZe/Wlu3b6Gx5t3cMfF7zuiHLLOkb+1tap1N1948c/cuvh6LqoeR1c2RUg3iJnBgXNSdo7oYX+DPyJ0xWO3YXseVaEY7x49g49PPr1zDf97y2rub9xCxDBZWDWab8+/5rSmf6Zx+EjErngnG3taWNm6iyvqJnP9mFlHHaXYn+jhd3vWM8PxyDg2YcNkY3czs8tr0YSG5Tq8b9Xv+MacK4kaAR5v3sGvdr7E97as4iuzlnHtmJn+l2bwH/7e3KaOhuU6HEj1AfDllx+iKdXHd7espCoU44axsykJhPjcuvtxPUnKsdjS08ruRDdfmHEJU0qqMITGd7es4quzlhE2THbGuxgTK+Ngqo+VrbvZk+jifePmEjMDhHWTIjNIyrHwpGRtup1ccwPvrJ8yUGb3N27h3aNnYGr6EaM5h9r6FY/dBkCxGSKkG/xuzwaqQlFuGDuH94+fy9Mtu7hh7Gxsz8XUdDKuTcQIDKTTaqf55PP3sLu/kx9ccB0vtO/jSy8/xKKqMXxx1lLeNXLagN2kneOx5h2MjZUztWQEMTNI1rH53pZVrBg9g+pwDNeTCAEjo6VHLWPX886IB/KsYxPUDe7c8wojoyUsq514xDlJO8e/bXySa0ZN4+LqcXTn0sSMILc3rGV+5SgeatrGv867irRjURoID5RTTy6N47lsj3ewsHI027K97GpYR2kgzI3j5gyk/0zbHu7cvYG/n34xs8vrAN8ntWYSaEIw/ij+3nIdPrP2fnpyaTKuzX/Mv4a6SDGbelq5tGY8HdkkZYEwz6ZamWtliBlB/tS4mZZ0Pw82bmFPops+K8PGnhZe6NjPDWNnc9/+zdwy5wpGhGJMKqnikurxSKA1009duJiQYQ6prF3P49JHbuXKusk8e81n6bMytGeStGX6+dAzd7J81Aw+N/0iLv7rT2lM9vLZaRdRGYqy+OEf87FJC7l5yiKiZhBPeqQci5gRHChrT3p8r3Mjtzy8hZumLOKGsbP5/IsP8vnpS5iTL9OTzeOajn3MqxhJzAwO+I6kbdFrpRkTO6WvzL3lWK5DQDewPZeXOpv4xoZH+NTUCxkVLWVB5ShSjsW3Nj7Jr3e9zJdnLWVZ7URiRpBZ5bXHTFNKSdLJkXNdSgMhNCEQCPZbCfT//RLfXfAucq7LN8674oT5cz0PXfP9NEBAP7WwzvU8/rNzEzf8/mmqw0V8fvoSNCG4acqigXNyroOpaUf49s5skpzrEDUClAUjp2T3aPnY0tvK+u6DfG/zSvrtLGNiZdSEi7l5yiLaM0n67Sx37X2FW+ZcwYUP/wSAr778ML+79EOMjJQwo+yUflLIH/hM9jC/YuSQ297byVCWg/xf/C+mCkBKKd+2qTILFiyQ69evP+qxH2x9hkhzL20jwvxu9wYqQhEuGjGO59r38kp3MwDzKuoJ6Sbb+tq4afIimtNxMo6Nqem82t2MqWm8et0XMTUdT3o80byTq0ZOBfxOaOmjP+PlrgMAhHWTey/7KOxs5p3LLiNh5ygJhMk69hFC2BnvpCHewdfW/5W4nWVaSTXvGTOTz617gBWjZlAVivKXpm1cUjOeq0dO4+OTF5Kyc3zomT9gaBrNqT4297Zy85TFBDWd5gMH+eW1n0QAL3UdwNQ0LqgaM2DPkx6j//hvCAGzy+oI6Dp/uPTDhHSDDz7ze/5uyiJCusmc8jo0Ifju5pX8v41P8NGJC7hh7Gy+tv6vlAcjvLN+KhHDpDgQ4pPP38P7Sybw8+UfI+ParOto5NNr/8Q/zbqM725ZybhYOW2ZBHWRYv5z4Qo2dB3kT/s3s7W3jYurx/G985dTGgjz9Q2P8HTLLsqCYX5wwXW0ZxJ8bf1fuWHsHBpTvcwsraHYDDKttJotva3UtCR535XXYLkOm3tbOa+8jvv2b+bSmgl8fcMjrGnfx/vGncdNUxYxOlYGwPc2r+T2hnXUhIv4wQXX8pm1f2JfoofyYIQbx83h2/OvQUpJY7IXgLFFfofxYONW3rvy19xadzGfeud1R9WZEGJIy5AdT8OffuE+nt73Gt+/5AaWj5o+sP/59n3MKqshpJs80LiF946djSE0bt2+hidaGujKpnilu5kvzryUa0ZO45PP38OF1WMJ6ya/3vUyH5owjy/NXEpNpIgXO5t47OAOppfW8MNtz3BpzQSe3ruNYDTCxdXj+O3uDZxXUYcnJQk7x8cmnc//mXHJQF4akz080LiVh5u20ZpJsCPewfiiCuZXjOSupR/miZad3LbjBa6qn8pPXnuOkdFSHnnHJ/njvk08cmA7azr20ZTs48aScXRHdR698iZynoNAEM63m6SdI6Dp7Ozv5LW+dpK2xU1r7mFWWS17El1cOGIcz7btYWysnJRjEdQNXOlxac0ELqoex39tWcWu/i4mF1fhSo89iW6KzCBTjGL6TSgOBHE9yY54BxnX5pY5V9CaSXDHzhe5vG4ST7fsYk55HZvyb8xWX/0ZltSMf0Ndtab7+fjzf6Qh3kFduJixReXctffVgeOjo6V8fvoSfrDtWZrTcX54wbUsqhrDV9c/zLiiCn50wXVs72vnGxseZVXbbj44fh5fnrWUxQ//mHePnonjuTSn4lxWN4k/7t1IVSiKEIK2TIK9iW6qQlG+NvtyKkMxKkNRLqudiCE0nmjZyd+tuZefVCxkxeXv4Gi8VRpO2TnOu+c7ZHRBbaSIV7qbWVQ1hnFF5TTEO/jMtIv46IQF6JofBKQdi+VP/pI55fW0pONs7mlFCOjKplhYNZpHD+6gPlJCczpOxDD55ORF5FyHO/dsIOs61EWKSdo5ko41MFhTEy7iljlXsHzUDLpyKS555Kf88qL3cfOae4maAa6sm8zG7mY6skn6rAxLaydy3eiZ/N3UxQDcs28j39m8kuWjppPL+5yGeAcLKkfRb2VZ19kIwJSSKsy0zR4vRdqxubJ+MtNKRrAj3sHXZl/O6FgZH3zmTr466zJe7GxkdKyMX+98iTkV9TzQuIXObJJ0fjDkwxPm8+sl76ctk+Dz6x5gR7yDxSPG8pVZy5hYXPmGMl69ejVLly4l7Vg4nsefm7bx0IFtPNi4lW/MuZxvzn3nEfXSko5z775N3LlnA+8aNZ2vzFpGxAggpeS/t65mZ38XL3U2Mb20mvv2b8aVHl+ZtYxvzbuKe/ZtYnXbHjpa2/jmsuu58rHb6LUyvGfMLJ5v30t1qIiMa3N+1WgmFFXQkUliSxdDaHxwwjzKAmEEgp9sf547dr7IvIp6okaAS2sm8G+bniKsm2RcvxymlozgqpFTmVZaTWkgRMW+HpYtW3ZUDb5VGt7T38UnHv01e8nQnI7zqamLea5tLwsqR1Fkhtib6OZAqo8tva3MLa9nelk1Hxg/l0cObKehv5OmZC9VoRhX1E2iPZPkHfVTaEnH+eO+jXx9zhXcuv15nmjeyaTiSpqSfYyNlbG1r40xZoxFIydSFYpxe8NaLq+bxPTSauaU13NV/RTChsmGroM0pnrZ0dfBgVQff9q/mTnldWzpbWVKSRUvrfgHsvlA28gPWu6Kd/J4cwMfmjDvDQH2/93wKBt7WnD7Etz/ns/yQsd+vvjSXygNhFlaO4GubIqd/V1s72snqBuYmsb+ZC+TiiqpDhfxdOsu6iLFBDSdfjvHrYuv58axcw7VDZbr4Ek5EAu93NnEJ57/IxnXYW+im/FFFTiey+IRY2lM9rKus5FxsXL++o5PMjZWjgDu2PkiDzRtxfM8RoSL+OLMpcyvHInreWRdmxc7m7h5zb240uPb86/hgxPmHVGfO/o6uL1hLaVdaboqQtRHSvjN7pdpiHdSGggzr6KeD4yfRyzvG/5m1W+ZXlrDjxa93v9v623jysd/wbtHzeAd9VNoTcepCEXpyaWZXlrNoqoxONIjZgZpS/fTb+eYVFyJEGKgvZ4uDQ86cM8brAIi+IF706ATOkUmTZokly1bxooVK96w9jX4ryeve+IOPjLlfL466zJ6cmm6cinOrxxFkRnE9jw29bTgeB61kSLu3beJlnQ/N4ybQ0s6znvGzOIbGx7hrr2vogttYFRwVlktV4+ciiE0+qwM/zb/an696+WBYOZ4FXMiPOkdd5RSSsmq1t1kXYfL6yYRzD9Rn6rN/2lYx49fe47eXIblo6Zz20U3nPCaBxu3sqmnmbUdjexP9nD30o/w9ZX3slfL0pTq48axc/jizEuZXV7HHTtfHBg5v3vvqzx04DVml9VyXkU9y2om8K2NT/KDbc8yrXQEN46dw/vGn8eoaOnAvR9I9vH7vRswhMYPtz3HvMp6ElaOsmCEza2NlBQV0ZlNkXIsxsTKiBkBOrJJwrrJV2Zfxgvt+1jTsZ+pJSMA/43L7RfdOOCodsU72RHv4Lzyet63+rdkXYciM8ia9v1IJNNKRnB+1Wj+sOcVfnvJB6lu6jutje1wjqfhDV0H+caqe2k3PT42aSGlwTCmpvOtjU/Qb/mvtFsz/UwpqSKkm1xaM4EPTZhH0s5xQdUYvrXxSdZ3H+DCEWP5l3wHbrkOtzes4/vbnqEyGGVnfyflwQiNyV523/A1xhVVsHr1akacN5X/2LSSf533TvYkuplSPIJVbbv56MSj36qUkqdaduXzYvC3z93NM217mFlaw9+Mm8OmntZ8x7+RH732HGHd5P7L/z+mlVbz2MEdrNn0Cv++/EMnNUoP0JtLUxaM4HgutuexvusApYEw00urWd22h8vrJr0hb5t7WwdGA3f3d2EIjf0bNrN06VKakr1kXYdJxZX0WRnm/vn7/OCCa7l29Ay29bazta+NmnARE4oq2Jfs4dKaCUfNk+O5NMQ7GRkt4bJHf84t511JaSBM2rEI6Sb/07COr8xaxpr1L/H3V11/zHtrTsW5c88GftGwlj8u/QjnV40G4LYdL/DIwe18a97VTC+tHgjWiswgf2rcwh0N67hq5FS29raxtqORaaXVpF2LX138Pna/vHFYNPzDR+/jPUsuI+M4TCyu4NubnuKmKYsIagb/uvFJHmzcwvprv0CJGeJz6x5gfFE5X511GUKIgbcEWdchbJik7Bwh3SRu+1P6vvnq48yvHMn8ipGYms600mrAHxW8++lH+eAV19Ca7ue2HWt5sqWBEaEiigMh7lr6YXKuw9qO/fxuzwb+adZlTCqpYk37Pp5obmBtRyNJJ0e/lcXQdG5dfD0Xjhg7MOL8QOMWfrztOVZe/WmEEPTm0hxI9dG9qYFFSy5mTcc+rqibfEpl+HJnEzPLajE1jX948c882LiVcUXlfGTiAiYVV3IwFefW7c9z49g5RAyTuRUjOb9yFB978HYypWEak73siHeQciy+Pvty/t+8d550Wzoa+xM9bOg+SEg3uGjEOG5+4V42dB2gMdnHitHT+bw2lmXLlg3UkRCCLT2tSCSGprEv0TMQ1F5cPR4B/HrXyzjSoynZy3vGzOLjkxdSEy7iL02v0WuleUfdFGojRTieR1A32NXfxbrORrb0tFIcCHJxr/mWBe7H0nDGsXlg1RMsXrQICRxI9XFeeR0lgfDAOVL6bwOjRuCIN5k9uTQ51+GhA68RNQL8ZtfLJJ0cfzdlMZ9dez83TVnEf52/Al3TyLkOXdkUWddm34bNXLHsMsD32Q80bkUTgu9sfprmdJzObIqqUJSoEWB6aQ0Lq0Zx0+RFJB2L7lyK23aspTOb5NGDO4gZQa4eOZX6aAm/2LGW940/j2fb9vLt+VezuGosOc/hb5+9i/9e+G6yr+17g5/ozqa4Z99GtvW1s7BqNB8YP5fufN8bMQI827aXDd0HuHHsHM6vGo0nPVa17uFbG5/gYCqOEIJFVWNoTcdZlffLT7fsYkZpNV+YeSkfGj+Plc88w+VLl2IIjZe6mtjQdZD3jJlFdTg2KA0fSPbxjy/9GSEEdy/98EAaX37pIVa17mbRiDFsP7CPa6bNZ3NvK1+ZtYwJRRWEDJO79r46MA3ykYPb+cKMS3itr53HmhsoNoNcNXIqf27cyshoKYtHjGFtRyNXjZzKhq6DlAcjPNnSQEO8E4B7l/0t//jSn2lJ91MVinL9mFm8N1d+ev3wqa4feegD/CfwHPAr4LnBpjOYz/z584+5JqaUUv7lqcel53nHPed4JK2s3NLTItd3HpD7E90yY1vScV35L688Jpf+9VbZb2WOuKZQ1iTd3tsuU3ZuyHY9zxtUOv1WRjb0dQzK5iF6sin5o63PSsd1jzivJ5uSv9r5olzZsuu4GvA8Tz6wf4t8saNRSillc6pPNiV65VPNO2XCyh5h880wxPWDT6ThVatWyb5cWn56zX3yxpW/kf+w7kH5023PSSmlzDq29DxPtqX7ZW82fdx03ozrufIHW58ZqIPDy+h0aLgrk5Q/yefzZCiUdlModl/tOiifb9t7UjbfSg2f6F7v3L1BTr73P+SYP35LfvHFPw/JX5+K3RNxMNknN3U3S8t1jnr8aPl8q+s1nsvIf3nlMXnL+kfklY/eJot/+3V5zT0/lP/yymPylw3rZMLKnrbyOxqrW3cP+Pozrb0Op4ZPFdc7sr86WZubu1vkxu5m+WzrnuNe35lJyrv2vCJ7sikZz2Xk08075d+s/I3cHe+UUkr5l8atcsnDP5HzHvxvWX7nLQPpna579TxP/mLHWpmwsvKXDevkXXtekWnbklc8+nP57Y1PDvStp9Pmm/nSi3+RNzz9a/mBVb+TS/96q7zuqV/JRw9sH5TNpkSv/Nn2NfKfXn5Ybu9tP+Z58VxGZmxLPrh/i3z3k3fIp5p3Ssd1ZXc2JbOOfUat464Bq6WU/1cI8cUhpHPaKdKPfAI+FaJmkJllR85P++bcd/LNuUPJ2fAztXTEaUlHCPGG+bsnS5EZoqgkNCTbZcEIn5+x5JjHPjbpxPPkhRBcd9ic/7qIv+rCqNjR5wsPByWBMD+78L1H7D/0xqU6XHTKaWpC4x8Om/Jyur+ZXxGK8rnpF5/WNBUnz3kV9cOdhZPiQxPmccPY2QNaPlOoj5YcdwWW4VjJojgQGpj6Ynsuruex7vk1LJ279G2xf6w3TYpTYyhvQo43X/5wKkNR3j/+9SDlsrpJXHbYW8gVo2ewYvSMN7wxOZ0IIbg5Pzf+E5MvGNj/5FVvXv37rePb86/mO5tXMr9yJKOjZYwrKn/D9+1OhVGxUj499cITnlcc8GOaa8fMfMN3CcuHOO//WAxlVZm9QKcQ4g5g/mnKz0mhvgmuKHSUhhWFzlA1fKYF7YWAqekF9SW6M51z1Q8LIc7a5RQDusE/z30H7xo1nVnltYMO2s9kBu05pZS3AgghyoC+05ajk0CtvaoodJSGFYWO0rCi0FEaVhQigwrchRD3AvWADVhACXBa1/ETQlwCfEZK+f7Tma5CoVAoFAqFQlGIDGqqjJTyRmCllPJSKeWVwB+Od74QYrwQ4g4hxH35v6NCiN8IIf5HCPGhY9h4FjhzfnlFoVAoFAqFQqEYRoYyyXCiEOJS/BH3acc7UUq5F/jEocAduB64T0r5kBDij0KIFP4vsQI8IaU87oOAQqFQKBQKhUJxrjGUH2CqAt6X//NuKWXXSVxzn5TyBiHE14BHpZQbhRB/kFJ+8CjnzgH+HfiJlPKxw4/V1NTIkpLXv/m/fPnyN6zBmkwmicVig7qvwXKu2Bwuu2eazWXLlg1p/WCl4XPL5nDZHS4NqzI++2wOl91zScOqXs8+myeyOygNn+r6kYc+wEzgn4BvAv98ktfcl///I8Dy/Pbdp2q7trZWTp06Vd5yyy1HXRfzTFtr9myyOVx2zzSbDHH9YKXhc8vmcNkdLg2rMj77bA6X3XNJw6pezz6bJ7I7GA0PZarMPwLfx/+C6nERQlQA3wbm5kfbfwz8VAjxLuCU12GKRqMsWbKEhQtP6/dhFYq3DaVhRaGjNKwodJSGFYXIUAL3rVLKrSdzopSyG3jzCvwfG4JthUKhUCgUCoXinGIogfsyIcRSIAdIKeXfnJ4snRi19qqi0FEaVhQ6SsOKQkdpWFGIDPqXU6WUK6SU75ZS3vh2Bu1w7v7ameLsQWlYUegoDSsKHaVhRSEy6BF3IcRdgARiwGgp5XmnLVcKhUKhUCjeUqRjg6YhNH24s6JQKE6SQQfuUsoPHNoWQvzD6cnOyaFebykKHaXhweNmEmhmCHQDIcTAfum55Fq2Y3fsJbV9FXZ3I6FxC8ju30Dlu/4Jp6+V2OyrALC7D6AXVeJlExjFIwDwcilEIPKGNA9h97Vite8mOmXJ23OTBYDScOHgJLroe+aXpHevRQvFqPv4L8nsfZmOe75KZs86ojOuIFg/Az1SRvbgZuo+/kv0aNlps2/3NJM9sInYrHeeUQ8JSsOKQmQoI+6fyW+awKDXUR0Mh15vrVix4g1rXyvePqTnITQNp7+T9M7nkXaWyJQlmOUjhztrBYHS8OCIr7ubtjs/j15UidW+m/DY+ZRe8gmyja/Qu/LnGOWjCI2aTdGC6wmNmUv8hd8RmXIJPU/8iGzTRjoe+GeqWhrY5eYg/xsWJRd+BD1aSuLVv2B3NVK69GbM8pHEzlsOjk2ueRtdj3wPLVxMbPbVVF37zwht0LMMh3b/a/9A+x+/QnjcAmr/9jaM0pphyQcoDRcC0nOx2nbScscn0IuqKF7wXrxM///P3n3HSVXdjR//nOl1e++wha6CIqIiYI0KmiixxiQaNcaW50nVmJgYn/RiYoyJiaaYmEcjP03UROOjglhBqiB1YWF7L7M7feae3x+zLCy9bGHg+369eLE7d+Z+z737nTvfOffcc9l63xQw4mR/4gFKvvIKPe/+FbM3m3DdGuz549l0ewbuyReSNe9eIi3VpJ39GZTFetjxQztW0/HqL+lb8y9suRW0v/A9cq/+Ea6qsweeE+tupmfZM9gLJwNgyxmLLXsMAEY0PDQ7Yj9O9BzWWu+zo0Ic247m4tSPSAyVCQMj+pV1qL4lG2E/vStfwF44EZMrDVtW6RC07vgUD/YSblyPjgSxNixnw41zseWPwwj1JYp1ZaLt+fsxe7MJbltG+tzPk3rmp3BVzCTa2UA80I2jaBIAOhYh0r4dW/ZYop11AwfpnWK+VmK+NuyFE4/bg4r09AwWD/ZidnoHPRbcvhL/ulfJuOi/MVnt+DcuoeuN31Dxo03oeAyTw0tg05sEt32ANbOE8h+sx5ZXNahHL+3sTw/8rLUmuG0ZK1d/yMyLr8LsSsW/8U1a/34P7skXMPaBlYQaPsL/0Wv4P3qN3tUvYcssxYgGybv+l7gqz2THzy7GkppH+jmfO6JC5nCEmzbhX/cq5pRcdCSALbeS9he/T8EtfyLWUUftzy4m/dzbiHbU0v7i98n/7GNYc8qp//UnSTvrM4khEJnnDlv7JIf7xSPEupsxOTyYHB7CjRux5VWOas9yrLcdHY/S+PhNxHuaybz4K6Seef3Acs9JF2Nyp2HxZAKQcf4diQUzEperpZ93B76lT9P2woOYrE6a/ngLY76zfOD1exZ82ogT87ViTcsn0lKNLbeCeNBHw+8+Tc5VPyL7svuw5VYQqv+IhkevJvOSr+IonYYlNY/ah+bhPfUTdC96jEjHDoxQLynTF5A++xbqf3MtnPXgsO2nZMxhI9RHqOEjmp+8g4Jb/gQo7AUTUCYT0e4mLKl5KKWItGyl/aUfEPd3kjXv3kSdY3cDEPd3E6r7kMbff4a8Tz0MeNFaE+9pwQj3YYQDGCEfzsqzjtvP4GR2NIW7BbgVMIDHgdeHpEVDLFS/jsbffYb0827HlldFvKeZnqVPE+tuAmXCkppLaOEKYr42bHmVuMfNJuX0q3BVnbXP9elY9JA+sGM9LYQbN+Asn4HJ5hzqzRoROhal7cXvYQR68K9/HR2PEGnaRIonj8LbnyHl9E8OelMbkSDRznp63v0LRrCX7Q+eScYFdxNprSZUuwazJxP3pAsI7ViJjkUIbnkHgMLbnyF1xlUENr/Njh+fjy2nAktaATFfC86yU1E2F5lLF9Jt+TGOsmlYM0swO1NGa7eIwxD3d9H817vJ/NiXseVV0bv6ReK+NqKdtZgcXjwbP2T9n84DbVD2rXdxVcwceO+0PPM17AUTbGKYYgAAIABJREFU2Hizg7RZNxLcsZKS/35p0Cl8z5SL8Ey56JDaopTCVT6DWF0Qsytxt0T3+NmMuf+9gee4x8064HCYws//lcYnbiJcv5b8T/8aSLzXjUgw8YFpsdG39hWUyYJ78gUEt7yLvXgKZmcKlo5qGh57guwrvovZnUHzU18k95qfYgR6CFS/S2DjYtyTLsCaUUTnqw/jX/86WZfdR2jHSoJb3iVUv5ax3/kAW24FAGZPJp2v/xp7wUQKbv4joR2r6F39Irmf/CGYzFhS89BdyXnsORYcqDdSx6KEmzcT2LSEzIX3U70whr1gArHuRnQsimv8bNLnfp5g9Xu4xp2Dq/LMI25HqH4dwer3UVYHttwK7AUTQBuDntPxn18Q7+vAXjQZa0YxTU/eTrh2DWmzbqT4rv+Hye4a9HxbbvkBY1rTC8j82JfI/NiXBtpQ/8gnSY+Z6TZ9mdbnvkWsq4HMS75K78p/Eu2oxWRzYUkvJFy/FveUi4i2biX7yu/hPfnigfU6iiZRdt/bND15O+3/+hGRxg0U3vYUqTN33Ty9/aUf4lv2d3re/jO51/+SHb2jVDhqjTbioDVdb/wWk9OL74OFKJOFUN0arNljcI6dgdmdgXv8bBxlpw77mbhw4wbqfvlxIs2byb3+l2y7bwrWrFJMzlTs+ePxb1hEvLcNW8EE4v5OCm/9CygTHa/8nEjTRvJvepzO/zyE74NnUTYXeZ96mNbnvoV10k3U/+phelc8j7I6cFbMBK2xF03GM+l8bAUTsOdVJXaLET+mhjudiI6mcP8UcC2ggN8zgoX7gU5vtf/7p7g3rUWffSZaa7bdN4W0ObcS722jfuE38Ey6gIwLvkj3W3/EUTyFjIv+G6UU0c4Get7/G7asMhqfuIm4vxNH2akYoT6y5t1DuGE9bc99C7M3m/xPP4rnlHlEmjdjSctPFAFGHCMSJNK0idbnvkVo+wri/k6U1UnOJ38wqIdOG3F0PEZoxypsuRVYvFkjtesGaCNOuP4jbPnjUGYLHa88RMcrP00U2o0b0fHERUv2/PE4ik8ife6tiQ8MYPHixUyZMWevdZpsTux5leRc8V0AvFPn0/fRa8T7Oqj82XbCTZsIbHiDlOkLcFWcQczXhhH2U/fQPBoevRprTjkVP9qMNbMEAP/GJSiTmcDmt4hmTaDz1V8Q2rEKZ8WZlH79dUw2B91L/oglo4hISzUZ531hUHuiHbVow8CaVTrwAaz7h0cAxLqbsKYXDMfuPahDOUUbql9H1+uPYsurIvOiEb2M5KgZkSDNf/0i3UueIH3OLdT+/BJMdg+xniZSz7wBV9UsdDSE4awj95qfYssfT/Nf78aeN45A9bs4y88gZ8H3cE88l4zz7iCw9T1yrvnJQA/haLFllVL6tdfY8YM5+Fb8A1fFTGq+OwN74WT61vwLS3oh3lPmEW7ZQtvz30ZZbMT9nZg9WaTu+BDbxf/Fjh/MIdpRiyW9kM13ZqNsTtwTz8c55jT61r5CrLMe77TLKbztryiLLbE/wwGMoG/Q0BjvtMvwTrtsV+NmfXbvBi9ePGz7YjSGGcR8rQRrlmMEuvGcMm9IvsAbkRAAfR++TDzQhTW9iN5V/6Tr9UfxnHQxGR/7Eu6J5xHrrKPl6a/i+2AhaANrTjnR1q10Lfhfzpl/DdB/fDHi9K56Ad/7T6Osdpr/cid5n/41OhbFZHfhHHNoI0uNSJCmP36ewOYlOCvPIu5rQ1lshGpXk9PVQOO2z+GeMJeWZ+/FCPnIuuTrRNt30PHSD0md+SkyH1gxZAWWo2gyxf/1Amue/j6Nf/gcFT/ZClrT8NgNFN31HOHa1aSccS0YcQLV72HxZmEvnLjPdZndaRTe9hQYcWI9zXsNr8yadw9Z8+7Z9cAo5HCkZSvp/7qL6pf8WNIKsOVWYPZkkv3x72CyuzA5Uoh27MC//g263niU1me+St6nHsaWW4mz8qy9zh7uKVS/DktKLmZv1kF7tKPdTfQufw4j1Evrs/dSeu+bOMeejsnmwFV5FvaC8aBMBGuWU3DLn4i21WDLrSQe6MaSkg2AZ9J5hGo/pPkvd+Isn0HVL5swudNRSmHPH0/Pn76M49QLKPz8XwZ65Y2wn87Xf4N/01u0PvsNwi2bcZRMJVTzAe6J5xHtqkfHIjjHTCdr3r1su38qVb9qQZmt+DcsxlE2bdAohkMdlqPjMYygD7Mn46DPPVo6HqPmu2dQcNPjYLZgL5yUFGcY1O6FzCG/SCkXcC+JITIauE1r/c0hbtt+nXbaaXr58uX7XBbtqGXN7/8b95aX0LEI6effSf4NvwISQzR2fhAeiI7HwGQmVLua9n88gH/jYlxV55Bx/p3Yi6dQ8+3TiHU3Yi+YiLI6MKdk07thCY7sUpTZSs6VD2JJK8BRNg0dCVL3y48T2rGKyodq6V35Ao1P3IjJmUrc1wpAxkX/jTWrlNaF92HLKsOSmodn6nzQmrSzPr3fBF68eDFz5swZ+D0e6MFkd6PMB/8+1v7SD2l99l6c5TPQ0XDiwqTUPHzL/k7u1T8m1t1EPNBNzhUPHDTu0fJvXIJ/3X9IP/9OrGn5+3zOzphaa7rffJyuN36Lc+x0fCv/gT1/AoGNi8m9/hf0vPc3dCSILa+S3uXPAZB2zk2kzb6Fjpd/Su+qF7BllWLJLCGw8U0yLvyvRK/t5AsOazuVUiu01kd8bcf+clhrTdtz99Ow4v/whJtJn/N5Whd+A0fJKRT/1wsYYT++5f+PjPPuwOxOO9Lw+3Swv6vWms7/+xWekz62W++LQfNTXyTe246OhnCOPZ3e1S8RrH6XnKt/TMZ5d2Cyu4i0VBOsWU7qGdfsN2bfR6+hoyEcJVOxZhQO6bbtL+aRirRU0/SXuwjXryX36p+QOvNaIq3b0NEQ9sKJ6HiMeLAHiyeTYM0K+tb8i488M5hz/kWJmTx2u7B2OMeZjkYOHyzugewccmF2piSGQzlT6Pj3T+j8z0NYc8qJNG/GVXU2lpRcwk0bKfnSSwOFBsDbzz7K9FkXYM+rpG/tq9gLxmP25mCyOQhsfjtxXAv6CNUsJx7sAa0JbFoCaCwZxYki5r2ncFbMJOeKBwlWv0fPsmeweLLwr3+dlBlXY8utJGvePSiLHWW2HHRbox11NDz2KUJ1azACPVT8eAu23Ap6lv4dR/EUbHnjCG5bhi2vksbHb8JeMAGzK43eVS8mjl3n3DR4WEoswptL3uKk+HpCO1aROe9erOmFe/WqD4fFixcze/bsES1uRiOHjUiQt//vJWZddDndbz9J6hnXYHJ49rmOaEctRjRM4+M3Yvi7iHY3YoT9ZM+/j4wL7hr0+R2sWU7n//2K0PYV6HiUaEctrvGzseePJ+WMa1lWFxy0rf4Ni2l+6oukTF9AtK2GnKt+NFCMD6VDOfZHGjcQD3QT87ViBHtIPfMGIs2bqfmfMzFCfWRccDd9q15AG3HcE8+j+83fk3npPUQ7duBb+gxog9QzP0XaOTfhqprFsse+TOb2l8m+8n9ofearGLEw3lMuI1izjGj7doruXIhn0vlHtV06HhtUD+2+nfGgj9qfX4rZmUq4fi2W9KL+a5gSpayORRJnFyw2lMlMtKMOZXcdUefRUOfwkfa4/5pEwf4AYAOG/LyJUupSEhe9btVa//VQX2fNLKHvjLs47Z7/R6yvA5PFvmudh1C0AwN/aGfpVIq/+I+9llf8dBvKbEGZzERathIP+ahbtpTps84dKGgG1uXwUPr11+h49WE23urBe+onGPdIO8ruxgh0o2wuet7+M/5Nb1L+vXWJCz0jfvo+fAVn+Qw23ZXDmO98gLN06j7bGutuxuzJxLfieRoevRqAnKt/go6G6H77T2Re/BUA0mffTPXXKkg/706UUvQsfZrxj4foeu0RlNUxMMYx79qfHtI+Gkru8efgHn/OIT1XKUX6nFtwTzqf7jefoPQr/8FRcjK+5c/jW/YMBTc9jiUlh2DNB+Re+3OsmSX43n+a1mfvJeX0q8i95icYQR/R9h0U3fF36n+1AN+yZyj9+ut7/e1Gg1IK94S5BGI5nHLlbSiLlcyLv4x/01vU/vwSlMkCFhuBjW9S8pWXR+SUZfc7f6VvzUuJ/bpjFW3Pf5vCW/6M2ZtF23P3E9jyNq6qWaSfezuBzW+R9+lH0LEIrvIZA+uw5VYMDPHYn6M9SI8kW24FBTf9nlDtarynzEs8ljN2YLkyWwYO8M4xp+Icc+pAz+GeQ+2SoYdnuGmt8b3/v7Q9/20iLdUAmNzpOIqmYC+YQO61P8MI+0mfc8vAa1qe/irVXx9H9uX34yidSmDTErxL/0D9mscovOXP1P70IlxVswhseQeTw4MR6sWaNYbUM67FM/UyiEeJ+VrJ/+xvMYI9A0OdCm/980AM94Q5pJ97G+GGj8i6/H5cVWcd9nvOmllM2TfeRBsG/g1v0PDYDVhSc4l21BIP9BBt25Z4XvZYMi68Gx0JEu1qIO+6h3CWn77X+pTFBiYzGefedSS7+qidCPlqsjkx3Nkoi430OTcf8Lk7zxCP+ebbQCKX/evfwL/2FbY9cDoWbza23MrEUNOWarLmf4P8z/yGWHcT5pRsQjtW0fPuX6l/ZAGZUYPt7yaGijrHno5v2TOUfOlfoz7pg1Jqn2dQ7AXjGfdwy0BHROySryY6M12p5F79I/rWvYqzfAZZl96D2ZNB9ztP0rX499Q9fAW2jPEU3PwHGn57PZmX3kPa2Z/B98FCHCUn4yw/g4bfXkfx3c9jL5xIPNCDEfYPnCHfsyDfKdbbjm/Z33GNO4e+VS/SuvAbVP68Fmtm8aDndb/9JC3PfJX8z/yGlNOuABJf1uoevoKe95/GCPvpeedJoh07ErH660hlsZF+7hfIuOAulFJorYm27yDW04yj5BQCW97BM+m8od79eznSwv0LwAJgPlAF3HCgJyulxgL3Aala6wVKKTfwKBABFmutn9rzNVrrfyml3gRu33PZoRqu0+om664vAzvHCsZqeg5Y+GVeeDepM68bNCxm51jd9Lm3kj731sT6ssv6H/s8AN5pl1P7s0tIP/cL+D96DSPsx1k+I5E44V6qvzERe8FEdNhP5UP1aCNG+z8ewJpZSunXX6fnvaeItu9g0x2ZpJ5xLcHqd+ld8TxFdy7EZLWTefGXh3TfjBRb9hhyFvzPwO8pp32ClNM+MfD7zmIKIHXmtaTOvHbQ6x0lJwNQdu8igts+oObbp2EvmoItr4qMC+/GUXzSMG/B/rknnku01TRQ4CmLDc+k8/B8b+3Ac1qe/Qadr/2azAvvJtrVSLD6PVKmXzmwXMdj9K54HnvRlMSp1CPQu/ol6h6aj6PkFGx5VaBMlH7tNUI1H9Dw2+uxFUwk+8r/wVVxxsBrdv8bHO+sGUWj/oF6rNNaQzw6qNMk1tsORpy6X14OykxoxwpMzlR0JEDep39D6oyrCW5fjo7HMDu8OEr3fYuQ3Gt+gve0K9j+4Jkoqx170Ul0feznlDpbaXrydsrufx9X+QwibTXE+zpxlE7d7xjkndc87HOZO33QLChHSplMiS+nhoGOR/CcdAloIzEsURvE/V2ST8cBpVTieD3pPNLn3kaodjVGJEBo+woKb31y4L2ws3Zwj5+Ne/xstBFnyf/9m7GlKfQuf462Fx6k8idbh3RazuGwe0eEJTV34GezO53UGVcPem72/G8AiTO1by5ZgqvqbCp/vmNg+e6TCRTe/jQNv/8s2R//Nr6lTxPY/Dbe067ACPTQveQJnOVn4D3tSjyTzifSVoPZk8mOH8zGPflC2l/6IWnn3ETRXc9R/+jVFH7+r9hyxqKiAfwbFtH2/Lcp+NwTg+oEk81J0R1/p+bb01BWBykzrsE77XJsuZXEuhpQNicWbzb1jyyg5akv4iyfkehkUCbivW2J7U8roPi//onJ7sGckk3XosfQsQikzxnSfX6khftG4JvAdcAjWut1B3qy1nob8Dml1ML+h64AFmqtX1RKPaOU8gMf71/2qtb6b0opE/BV4KEjbOMx50jGstsLJlB239v4Nywi8+KvYHJ66Vv9L7Z/fzZpJjf5n34Ua1YZtpzygVNoBTf/YeD1O98oBTc+NjQbcRxyjp3O2AdX0/P+/6IsdmrunwaA+fLHgTmj2rb9yb78fuofWUDfqheIdTehjRjKbKVn2TPEfa2EGz7CNWEukX/9CLM7A0tqHkbET8b5d+Isn4myWPfZc6gNg1hPMz3vPEn3W38k71O/Iv38Owb1srmqzqbipzWjNiWiOLbpWBRL23qCNR4a/3Bz/3VC95I683qan/oiPe/+BZPNhbPiTNJm3Yh36nzigW7MnsyBPHNVzDykWK6KmUz4YxyUAq2pXbKEtLNuIO2sXX1JtuwxsMfMVaPJM+XC3X4zDfQc7j7kRxwfbLnluy4EPuuA/Zsokxlt9w4U8rnX/+K4PbtxKJ8dztKp5F79I3pXvYij5BTybngE39JnMHsycE86H0tqLm3Pf4fut/6Ad9rHiTRv2uekGSanl7pfXIbJ4SW9vYGW1EzK7nt7n8MxzU4vZd98F0ymQR2/u59NLf7iP4j52hLXyGWXEe/rxGR3Eapbi8nhoe7hKzCCPRihPjIv/greqfOhMXaUe2ywIx3jPhX4DJAB5AHztdYHnXBVKbWwv8f9XuBlrfVqpdTftNbX7eO53wKygVe01v/efVleXp5OTd3VQzJv3rxBF5b09fXh8ex7PNpwGemYKtxLqLMRe/64EYu50wmxfyN+esMGHu++LzKaO3fuUY2tHKoctrRtQFudoMxkPPcZovmnEJhwBZGSsxLFjBHD2rQaU7gHU6gHe+07mHtq0RYn0byTiaWPxbB7Mdw5GA2rSa1dhDZZCI6bT3jsuWjb8O7zEyGXRjPugWIOWw7Ho6T942ZMJhO+s7+GtqfgffvH2Fo+JDD+MvzTbkHbh2c/HGv7+HiKOVpxRyWHDxJ3uMjf9TDFwmCywEGGr1k6toDWdNvz9/uZPqS0xhTswnAlrm8Y8hzWWh/xP8AOXE+i9/xQnr+w//8bgHn9Pz99uHHz8/P1+PHj9Te/+U29L4sWLdrn48PpRIk5WnGPtZjAcn0U753RzuF4qE/3rX9DV98zUa+/yabrf3uDXnuTU3e99edhjbunY+3verzFHa0cXvTaf7QRjw16LNLZoA3DOOptOpBjbR8fTzFHK+6o5fAxtq3HW9wTJebB4h5JDh/NdJDoRC/7U/3/9ksplQl8D5ja39v+MPBI/wWoLx5uXLfbzaxZszj99L0v3BEiGYx2DpvsbtwT5jL2++tAa5TJxJZxNzH57Dmj0h6RfA6Yw2bbXkOxRmvqVSH2Z7SPw0IciaMq3A+V1roDuG2Ph28cidhCiP1TSiWG1AghhBDimDcihftQS8bbFAuxO8lhkewkh0WykxwWySgpp4XYebezF1887FE2QhwTJIdFspMcFslOclgko6Qs3IUQQgghhDjRyFAZIUaB5LBIdpLDItlJDotklJQ97nJ6SyQ7yWGR7CSHRbKTHBbJSHrchRgFksMi2e0vh41IHNd7cZqMGvLmltG5qhlnvgdX/gjc+ESIwyDHYZGMkrJwF0IIcWwy2cwEp5kItQdY/4ulhFr9KIuJnJlFFFxYjsmSlCd6hRDimJCUR1A5vSWSneSwSHYHymFtV4y5ahJFl1Yy8YszqPzsyWhDs/HXH1D/7y0YkfgotFiIweQ4LJJRUva4D9XpLW1oUP03oTmGhbuCmB0WLE7raDdFDBE5RSuS3aHkcGpV5sDPnrHphNsCtLxTx9an1pJSlUHOzGKU6dCOv0Y0jhExsLh3HQfj4RjKbBrUi9+9oR1lgtRxWYe5ReJEc6jH4WhvGIvLijIfe32d2tAEGnpxFXmP+VpGDI1jtnBXSs0AZgOtWus/DeW6Q21+uje007GiCbPTgr/OR8ZJuZRdNXFQ4vdsbCfcGcSR4yalIuOIYkX7IsRDMRxZrr2WxfwRLG7bPl8TbOkj3BbAiBo0v7k98eFkN5M9vZDcWSVH1BYhhBgtSikcOW5KLquiY3Uzvs2d1LZtIm92KbYU+6CiKNjShyPbDUD78kacuW7qX64m1hchbVI2LUtqyT+3jK51bcSDUUqvnEhKZQa2LQZ1yzYRD8exOC2M/8JpWNw2Ak29RLrDGOEYkZ4QmVPzsabYR2tXiCTS8J+ttL5Ti7s0jcrPnkywxU/b+/VYU+wUnD/2sNYVD8eIh2KYHRZifRGU2YQtzUGkJ8TaH76DbawiNClA90etZJySh8VjY/0v3gcge2bRPr/oti9vpHnRdlIqM0gZl0nUF8G3qZ3smcVYU2xybclxaEQKd6XUWOA+IFVrvUAp5QYeBSLAYq31U3u+Rmu9VCn1CaD1cONZWjRNi2roWttK2sRslFkR6Q7hLkoh3BGkY2UTJpuZoksqcea6ifZG6FjZxJYnVhFs9ePIdNG3vRuAnDOLaX2/nuJLKgm2+mlf1kDaxGxyzixGxw3smXsX5Lurf2kznWtaKFswkcxT89Fa076sge717fRu6yLjlFyyTy8k3BUi1hehb3s3XWtbsaU5cJek4ir0MuHuGZjtZiLdIbb/fT3++h7SJ+eA1ol9Zeh99lpF+yKYHZYhGVMabOmja10rebPLjnpdQogTlzKbyDq1gMxp+bS+U0fN0x8RC0ZJKc/AZDXRvb6NcEeQrOkFBFv8WJwWGl6ppnj+OHTcQMcMyq6aRLC5j5LLx2Hx2Njy+EpsaQ6UGSZ/5UwCDb301Xaz6XcrMdnMBOp9eMakoWMGaZNz2PrUWhw5Llx5Xro3tJE6LitxvC3wYLKaR3sXiWOEv85HX203pzwwh4b/bGXjb5ajDU3xpZW0vFNH3UubKZ5XRSwQpfYfGzE7LVjcNnJmFhEPxbB4bLS930BvdSdRf4RIdwhbih1MCmU2YbaZCLUFMFnNZJ1eQENHE9VPrsGV76Hl3TpifRHcJalkTs2jc00L4Y4gaROz8df7yDo1n1B7gLb36plw9+n0bGzHX9tDqD1A9hlFdK1rpW97N0WXVJA2IXu0d6UYQiNSuGuttwGfU0ot7H/oCmCh1vpFpdQzSik/8PH+Za9qrf/W/7p7lFJ3HU6supc241xt0Mg2Jtx1Or3bugg09mJLddD6bj2uIi+TvjwTs33XptszXXjK0mh5u5bsM4rQhiZregGe0lTsmS5yuoKs+/G75M0uxZHlQmvY+JvlRH1hvGPTCXcGcYfibFz/AcFWP658D2ULJhJo7CXqj3Ly/eew5Q+r6dnSQdeaFlLHZZI2MYvyT02hd2sXTYu2E+5IvHmLLqmkbMFEjOjgU8IAzlwP4++cTseKJtqWNmAzaZqMGhpf28aYaycTqPcR6QlhxAyivggxfwRlUsQCUeyZLtLGZ9H5YQuObBdWrw1Htpv6V6rJPasYk9VM85IdTLh9Oo4cN4EGHzXPfDRwgFEmhXdsOhseWYa5UO/8uw60rXdLJ93r29Ba07Oxg4l3n77PswnHku6P2oiHY7iKUnDmuDFiBsqkDvnU/XDp29GNqVujtSZQ5wOzIuoLY0t1YEt1oCxqUP4eKiNmyIWBJwCtNb7NnbR/0AC5+uAvGCVKKXLPLiH37BJigSht79Vj8doouXwc9iwXzYu2U/ixcrxj0g+6rilfP4tob4R3V7+PMincxSm4i1NIn5SD2WUFrTFZzei4gclqxuq1YXFaaVq8newZhUR7wmx6bDm2NEeiI6U7RGplJkbcwDs2PTFMYrfjQm9NF73VnYQ6gnjXxFm79B3smU6sKXbchSm0Lasn58xiMqbmY7aZ9zmkRxy7tKFxfGhQs/IjKm44GaUUBeePpSvbTer4LCxuK67CFNb/cim+zR0oiylxJtyAvtpuPvz+2yirCavXTtZpBWSemk/GybmgEp8vfbU9uAq8mCymgc9RpRQ1i1uYPGdmog1a07JkB9lnFGG2W8iaXkjtPzfR9EYN3vJ01j+8FIvLRv7cMixOK5lT8wdtQ+r4LKJ9Ebb8YRXeMemYHcfsAAtxmNTuxdewB1NqYX+P+73Ay1rr1Uqpv2mtr9vHcy8DpgFNWuvHdl+Wl5enU1NTB36fN28e8+fPT/wS0QT6/Li8brDuUYDt3NYjGQdmaNizoItrLM2aeIYi3BnEnuWEOJh94FxjEPdA4HRToh0xjbUhMaY+WqyOrA27i2rM6yJY7Fa0HWzbNeEKheFSmHs1KgzhcgVWQIO5E8ydmmiZwtwFKqKxtGqCJ5lwrTCIpyhiuQrX8kS7tQXCE0wYHgZtt7ld41wZBxSqf3dqEygDgiebEtcMhDQmP4TH9b/OfJTbqjV9fj8ej+fo1rNTXONaaoAG7QAVgXiKwtKuieUowhMSH659fX37jTl37twVWuvTjrQJ+81hrbGv15hbDHApzD2J5dEChcmnUVHQVjC8Cm1P/J0wQaSsfx8rBXGNiiUuEDT1aIwUMPnA/b5BNE8RrlJop0IFNNrKwPvE392Hx+XGVpN4PDLWNJD3ph6NrVYTKVUYXo46fy0NBtZGTW92GEuZC3ObxtqoCU1WR58vB3Ggv+uxHlcFNfZNBoZLgYLI2L33l6VVY9tsEKkw0e3Z//tm2HKYJN3HWmOt05g7NfE0hWOTJu4BNKg4YAKtwEhVmLsTx4pYliIUCGLLdqJCYAqDY42B/xwTtm0aS4dGmxOv1xYITjOh7Uef30m5f4ch5nDlsPJrbKtiRE61oJ0H+HvFNLbtmmi+Qrv7n6c1ph4Sn51mDutYeVj7d181yT5YmgycH2oixQptBnOPJlpqIpa767X7imvyaaz1mnCVAsuu59q2GRDrP/ZYDjOXozrRXaxUIqbTjW174nMl0dj9rE9rzG0QT2fvuu4wHIvvmyPJ4dH6ClYPFAGr2c/MNlrrF4AX9rXMZDJhMplYsGABDz5GF/YfAAAgAElEQVT44F7LFy9ezJw5c4autYdg8eLFzN4tprFg+Hs3F1sXM6s/po4bR37hzAW7ftRXaOKB2F69/YPipi1iaslJuItTUEoR7grizHEPxNdas/3Z9XS+0YI9zUHBBWNx5nmwuK2YndaB/RILRqn9R2KMqzXFjtWzdw99PBzjo5+/jy3DRcVJ5aRNykmcatyPaG+YDb/+gPRJOaSOz8RTlobJasaIGfTVdKHjmtZ36/CenUHu2SUok0JrTfdHbZisJlqW1OIKpoCCbbqOc4Ypjw6Yw3Nh8WuLOOPkGTiydw3FMmJG4v9onI7lTfgbfDhz3ER9Ydpfb8RkNZM+JYeuta04ct2EO4PEeiOJeDYzZddNpm97N+3vNWJNsRHpCaNjBrY0B7Y0O33b45gdJgo/Vk7X2lbYqgi3BzDiBmarGVdxCl3vteDIdWN128g5q5h4OI4txZboSbKYiPaE8Nf7KLq4cr/bHmz1s3HRB9gznJi3gNqUmGHEW54O2xWRriC2NAfeMelkn1k05Bdlj8bx4XDi7szHrrUt+Gt9WL02tIZYIIrVayP9tJzE+64zSPtbjVjcNlIq0nHmeOir7SHcHqD8zpOwpTmGdVsPlMPH+j4+FFrrgWuetKEHOn581V14SlMHejD3PPbrq3a9LhaMEukMYvXa6avtoe39egrOH4unLG1QrHgohjY0Fteh5frxsH+PhZgHzGH38bOtscsiNPxnK77qTnLPLqHuxc24Cr3knzuG1nfr6GmKUz5/PC1v1VJ501Q61zTTvH4HqeMy6XizmZKPV5F1agHB5j42LVlBzsxi/LU9mJ0WQm0B3EUplF4xYb/xo30RAg0+djy/kWhPmMxT82muj+P0m3HmeQm+34sRiVP+6ZMIdwSwuKy4S1IJtweofWETKIUtxY7ZsFJw7hgsbivBVv8hnY3b3ZHu31ggSm9NV+Ls2wE+jyK+MBgaW5oDSNRlvi2drGpeN6R/15Ea454JfA+Y2t/b/jDwiFLqUuCw52Fyu93MmjWL008/fYhbOnRG+pToUF3trpQ6YNEOgEUNmi1iz4tflEpMBVc8v4pAnY/6l6sJNvcBYLKbMcJxUqoyCTT24shyseFXywAo//TJpI7PHPjQM6Jx6l+uJndWCX2bqunZ2EH7B40Ufqwi8cFptxAPx6j/9xZ6NrTjKkohHopRfGklRtSg9f16ejZ3ouMGweY+rB4b8XCc3NmlpJRnDGpv+uQcgIEhU7HeCEbKUe/O/TpoDlvUoKIdduWUaedp2X5aawovriDSEyZQ76Pw4gosTiuxYJSYP4oRjaPMJpw5btKn5FI0r4rerYniY+d43lB7gPfXLGX2ueeglMJbnkFfTTeZp+bTu60L75g0lNmEccUE4pE4PZvaaVq0HXdRCh1tfnTcIB4xcOV78Nf76FrXBkDe7FLaP2gkd1YJqVWZtC9vpOWtWqpunoa7OIUlLyzCuxxO/uY5mGxm/LU9tK9oxIgaYFZsemwFnpJU8s8dg8VjI9Tqx1Vw/F5speMGHaua6VjZhD3dScknxmNLtdO9vh3v2HTioSgpVbveIxnT8rB6bHR92ErEFyJzWv6gonI4JcNx+GjsPlFBYphM4vfUcZn7ecXer7M4rVgKE8fTtAlZhDuCNLy6FR0z8JZnEO4KEvNHCXcEsGc4qbzxlMM+lnesbMKe5cJTknrwJ4tBjvcc3snitlF6xYSBL6PZZxTR9EYN259dz9hrJ9Oyuoe6lzaTM7OYNf+zBFehl4l3z8DislJ8aRUbfv0Bre/UAVD+qZPwlKXRu60Li9uKLcXBxt8uZ+W3FlF44VhyZ5UOxI2HYgPDis0OCxU3nIQj10PDy9VExpiYMe9sMCmMcJxYMMrWJz8k2NyXuGC3O4S7JJXKG6cmhqpZTLS+V8f2heuJdIfQQNqEbNJPyiHU4ifnzOJD3h/a0MTDscSXjkIvRsxAG5quD1toXlKLI9tFPBAlb+4Yeja24dvSiacsjcZXt+IpTeufkVBhhGPYMpx0r2uleH4VDa9sTQy/zfcSC0bx1/kSn9VDPGp4pMa4dwC37fHwjSMRW4wei9NKSlUmE6syiQWiKIuJeDBKqC1A1Bem8MKxuApT0FoT9YXZ+te17Hh+AxaXFXuaI3EBzvRCcmYWsSG2jco5pxBs7qP2nxuJ9kWxOC3EgjFsqXbGXDOZ+peryTotn/QpuQBknJxLzTMf4SpKIbUqk5TKjIN+KJrtFgrOS8wUsG1x87Dvo6GgVGLMuzPHgjPHPfC4xWndZ++AUmqvWZIcWS4wq4Giw5HlGpgJaffnmmxmTDYzWacWkHVqAdB/rYNm0Bjgno3thDuCieJ/Wh4tb9XS9EYNRjjO2Oum4C5OfCsyUhRTvztn4HXuklTcuxUgeeeU0r6sgeon1yTOOMQ1VbdMw5bmSHwhsZgOewo0FUycdck+o2i/1zNEekJYvfYRu94h2heh5ul1RHxhPMWplN9w0qC/nTN336dZ3YWJ/SgzTR37lNlE3uxS8maX4qvuJNQWwJbuwFOaitVjp2NlE1v/8iHFl4/Dnu7c6/WxYHTgmiVzp6buxc10rmkmHo5j9dqo+MzJ+80TIWDXl0plSozZ3zkrTrxRcfJV5wCQe04JKLWro8hmZsKd0/unnEwZeHz3z4WyKyfgr/fhr+thyx9WYUt3EOkJE/WFyZyWT0pFOq7CXT1hxfOr2Lq4ceDz2OywYHZYGHfbqSiTSlyPso9JN3LPKiH3rBLikThKQcMr1TS8spVAYy9mu4WMqXkDZ9E7VzZjy3AM6pU3t2o2/nY58VCMWF8Ek82cmOWn/5qx9JNyKb60ErPDQqg9wNYn11D4sQom/XcVJquZ3m1diWHRGc7EGTiTwrepg5SqTLrWtlL6ifE4ctwEm/uIh2KJM/42M1uW1A3p3zEpr1aQObCTz85TwGabGVuqY9AypRS2VAfjv3AaofYASkGkJ4y3PH2vosyZ52Hc5xPDwaK+MJ0ftpA+OQdbmoMJd0wfvF6zibHXTRnGrTpyx1MOK6V2dkYOSB0/eA7tnJmH3hsyaN2mRO9Q1oxCAHybO9jyx1VE+6LEA1Fs6Q7y5pSRNb2A7nWtOHLcOLLdgw74UV+Yro9aifSE6dnQhjNgEBjfy8bfLE9cwDglB0eWC2UyEWztQ6lET3/RJZX7LIi11nSvb8PqtuEuSR2I1bGiifQpOUR7w9gzXWhD07e9G8+YtF1DLuIG0b5IYu7leh/BVj8mi4nONS0UXVxBSuWBe3OPJcdTDo+0lIqMvb48584qweKxUf3nNZRdOQFXYQrKpAg09dL4n60EmvqwuKwEm/twAc4rPYydNAVXgZfemi62/uVDCi8qx1OWRt/2brwVGXLvj4OQHN7bvmZVMlnNew3v2p2nLG1gua+6k2hPODE01mE54Ov2tPukCwfqNDHbEm0snj8OSHypXfPdJWxfuB53cQr+Oh9pk7MJNPRScN7YxDDPtS04NhoUXDcWZ64bqzcx5FbHjf6NVIPqDe/YdLJPLxwU1zs2He/YwcNz9jVc53C2+UgkZeG+825n8+fP33VRqkh6yqQGeox3zuF8INYUO7lnJ2dPo+Tw4dl5QE0dl0XquCx03CDUFiDUHqDh5Wpqn9+IxW0l5o/iyHGRflIuMX+UrnWtxHojFF1SScwfofTKiSzftJKyCyYS7Q3jq+6i4T9bB+ZU3tmLUvm5qdS/XE3GKbkok8LssAz0DrUs2ZGYeq3ONzBtq3dMGjue20jb0nr8db5d7baaSK3MJOesYohrNj++kr7tPQNDxtKn5OAuTmHsdVP2ea+HY5nk8NDLnJqHLc3OxkeXY/HYQEGsN0LljackOjL6c3Dx4sVknVYw8Lq0Cdm4i1OpeXodja/VYMQMLI4dWNPsVNxw8mhtzjFPcnjoHek9b46GxWll2vfOJR6OEfNHE/eFsJrQMYPNT6wi/PIWAMIVe59tPhZvqnUwSVm4CyFObMpswpnnwZnnIaUig0BTL848D0Y4jo4b9G7rQpkS11qYbObB43+3Jb4EWL12MqfmkTk1b58xCs4dw4c/fCdxsVG6g6JLKzEicXpruqm6eRrKbCLUHqBrbSsdq5o5+ZvnDFxAGvNH6NnYQfbMxHzKO57bgLfDwHteBlW3nip3OBT75SlLY9KXZmJxWQk0+Ah3BUmpOviZGKvHRtXN04DEGF7f5g7q/r2F9b9cSur4TJy5HoyYQeq4TCweG02v1xBs8ZM/t+yA1420La0fmBLY0mAM1WYKMaSUSe01PFRZzYz7/K7j7eLFi0epdUMrKQt3Ob0lkp3k8NAxOyy7Tlf2H7QPdmO0Q5E2KZtT7j8Hk9VMz6Z2Gl/dRrQvzOSvnDnQS+PIcpE/t4z8uWUAAxd2mx0Wcs5KtCHjpFxSx2Xy1ltvceph3mnxWCY5PDyU2nVh+qEU7Ptch0mROj4LW7ojcZdPjx3f1k4sTivNS3bgKvAS64uQfUYRtS9swpZiJ/PUfNo/aCTmj+AuTaNnYzuR7hCufA/u4lSifREcGzS9NV2goWttC858717DCfYUaPARC0RJqcwcNFPPsUBy+Ph3LOXbUEnKwl1Ob4lkJzmcHHaOuUybkI093ZmYHeEIbn5ltlsOf87jY5zk8LHPmeuh5PLxgx7LnJaYKSrj5DwsbiveMWnUv1xNy9t1mKwmUqoy0XFN4YXlWFPsOHPdA+Oe65ytNLyyFWuKnewZhTQv3k60J0TW9MKBKfCCLX2gE9cjNby6NXFjPkNjS7ETbO6j4MLyvYr9o5rO+ChIDotklJSFu3xLFslOcjj57ByaIxIkh5PTnnlscdsoWzDxkF5reBXjv7DrXjHu4hRWf+dN2pY2YM9wog1NtDeCI9uVuAu1xcTEu2cQ6QrSvryR4vlVrP/FUtqXNqCBWF8EV5GXvppucs5M3Bcia3oBjkzniBTyksMiGSVl4S6EEEKI0WW2Wzj1B+cR6Q4l5tbWuv+Gbg4Cjb248r0ok8Ke6aLwogoAJtx1Os5cNxFf4r4Tke4QebNK++/1EWHz71cQ64tiz3SSf97xM7RMiKGSfJfTsuv01osvHva9m4Q4JkgOi2QnOSx2sqU58JSl4R2Tjj3diVIKd/90lntyFXhRZhP2dCfpU3LJnVWKpyyN7DOKKDh/LCffdw6TvjSTCXeeTqi1b+COtcNBclgko6TscZfTWyLZSQ6LZCc5LIbLzotzCy+qYMvi+mGLIzksklFS9rgfzGh8ez5RYo5W3BMl5mjGlpjHX9wTaVtHK+6JEnO04sq2Hp9xT5SYwxH3uCzcX3rpJYl5nMU9UWKOZmyJefzFPZG2dbTinigxRyuubOvxGfdEiTkccY/Lwl0IIYQQQojjjdLDeOHHcFFKtQE7DvCULKB9hJpzosUcrbjHWsxSrXX2ka5YcviEizlacUcrh2UfH38xRyvuiZTD8nc9/mIeLO5h53BSFu5CCCGEEEKcaGSojBBCCCGEEEkgKaeD3B+llBt4FIgAi7XWTw1jrI8DlwI5wK+BKcAYwArcpofpVEb/Ni4Bvg2MG6GYJuBBIAVYDkSBuYAd+ILW2j8MMUuAR0icXtoM1A5XTKXUWOA+IFVrvUApdd3usfqfNlJ5JTk89PFGPH/740oOSw4PVTzJ4YRhz6uRzN/+eJLDx0Ed0R9vRHL4uBoqo5S6AejWWr+olHpGa331CMRMB34O2LTW1yul7gTWaK3fGqZ43wX8wAbg6hGK+QngcqAT+BeJN/YnlVLzgHSt9V+GIeb5QLnW+jGl1JOAcwRiLux/sz27e6z+xSOSV5LDQx9zNPK3P67ksOTwUMWTHE4Y9rwajfztjys5PPQxRzx/++MOaw4fb0NlioC6/p/jIxTzm8DjQFv/7zv62zHk+pNwPdACpI5EzH7jgPe01l8i8a1x57e94Yy7CrhGKfUGsGiEYu60Z6yRzCvJ4aE3GvkLksMjEWsnyeHhcSLm8GjkL0gOD4fRzF/2EW9Icut4K9zr2fXHGNZtUwk/Al4GPiBx1TBASX87hsNc4Azguv5/OSMQk/51d/X/vHuyDWfcG4Fva63PJXEacSRi7mlnrBHLq5GMdQLl8GjkL0gOD3ssyWHJ4WEwku8VyeHjv47YPd6Q5NbxNlTGTWI8Uwh4e5jHVt4NfIbEG2014AJK2TV2ath2rFLqsyTGbFWNREyllAv4FRAANpJ4880CnMAdwzQ2bTLwHRLb2QesHK6YSqlM4HvABSR6PHbsHqv/aSOVV5LDQx9rxPO3P67ksOTwUMWSHE4Y9rwayfztjyc5fBzUEf3xRiSHj6vCXQghhBBCiOPV8TZURgghhBBCiOOSFO5CCCGEEEIkASnchRBCCCGESAJSuAshhBBCCJEEjqs7pwohhBBCCDGclFJO4CGggMTNlTYAm7TWPxv22DKrjBBCCCGEEIdHKTUHmAy8BNxJYrrHPwHLSEwD2QTMAO4hMRXmlwEFbNVa/+JIYkqPuxBCCCGEEENjs9b6a0qp54H7gMXAx4A8INj/b8qRrlwKdyGEEEIIIYaGr///sNbap5SKkLi5lQn4i9b6w6NZuRTuQgghhBBCDK9HgO8rpZqAXq31A0eyEhnjLoQQQgghRBKQ6SCFEEIIIYRIAlK4CyGEEEIIkQSkcBdCCCGEECIJSOEuhBBCCCFEEpDCXQghhBBCiCQghbsQQgghhBBJQAp3IYQQQgghkoAU7kIIIYQQQiQBKdyFEEIIIYRIAlK4CyGEEEIIkQSkcBdCCCGEECIJSOEuhBBCCCFEEpDCXQghhBBCiCQghbsQQgghhBBJQAp3IYQQQgghkoAU7kIIIYQQQiQBKdyFEEIIIYRIAlK4CyGEEEIIkQSkcBdCCCGEECIJSOEuhBBCCCFEEpDCXQghhBBCiCQghbsQQgghhBBJQAp3IYQQQgghkoAU7kIIIYQQQiQBKdyFEEIIIYRIAlK4CyGEEEIIkQSkcBdCCCGEECIJSOEuhBBCCCFEEpDCXQghhBBCiCQghbsQQgghhBBJQAp3IYQQQgghkoBltBtwJNxut3a5XKSlpZGamjqk6/b7/bjd7iFdp6z7+Fv3ihUr2rXW2Uf6eslhWfdor1tyWNad7OuWHJZ1J/u6jyiHtdZJ96+qqkoPl0WLFsm6Zd0HBSzXksOy7iRet+SwrDvZ1y05LOtO9nUfSQ7LUBkhhBBCCCGSgBTuQgghhBBCJAEp3IUQQgghhEgCSVm49/X1ceutt/Liiy+OdlOEOCKSwyLZSQ6LZCc5LJLREc8qo5TK1Vq3KKVmA/Va661D2K4D8ng8/O53vxupcEIMOclhkewkh0WykxwWyehoety/pJSqAK4CvjM0zRFCCCGEEELsy9EU7vnADcBDQPPQNEcIIYQQQgixL0dzA6YngBytdbVS6v2hapAQQgghhBBibwfscVdK5fb/P1spVb7H4rO01s/2/3zScDROCCGEEEIIkXCwoTL7HMeulHoWuF4p9Xel1N+BiuFr4t7kSnCR7CSHRbKTHBbJTnJYJKODDZXZfRz753c+qLX+pFLqLK31O8PZuP2RK8FFspMcFslOclgkO8lhkYwOVrg/AWTvZxx7pVLqdkABaK2vG44GCiGEEEIIIQ5euIeAy5RS84Hf7LFsnNb6+uFplhBCCCGEEGJ3ByvcvwDcTKJX/VFg9153q1JqOuAH0FqvH5YWCiGEEEIIIQ5pOkjd/0/t8XgvcMluz/nuELZLCCGEEEIIsZuDFe6/Af7Y//MjOx9USo0BnmVXMa+HvmlCCCGEEEKInfZbuPcX573AD/of2r04vxDI2+Mx6XEXQgghhBBimByox/1CIJfBverfBdBaP6aUygCu7X/86eFspBBCCCGEECe6/d6ASWv9GFCttX5Aa/0AsGOPpzwEfAis7f95xMhNE0SykxwWyU5yWCQ7yWGRjA40VOYO4GKlVBqJXvfzgD/v9pRerfVb/c9dMKyt3IPcNEEkO8lhkewkh0WykxwWyehAQ2XWAWn9/xvAwj2Wf6iUWkhiqMzrw9M8IYQQQgghBBygcNdav6mUqgc+AbiAc9ntAlSt9e+UUh8mftRLh72lQgghhBBCnMD2O8a93zeBMmAxkL77AqXUI8AM4Byl1BPD0TghhBBCCCFEwsEK92YgBLwDBPZYtklr/Uut9U+ApuFonBBCCCGEECLhYDdgehGIkJju8c09ll2tlJrSv44qpdSPtdZfG4Y2CiGEEEIIccI70KwyCjhNa/0w8Ml9POX6YWuVEEIIIYQQYpADXZyqlVLTlVLXAj39j/17t+V7zusuhBBCCCGEGCYHGyrzGmADskegLUIIIYQQQoj9OGDhrrX+8/6WKaUuAKZrrb+vlLpGa/30kLdOCCGEEEIIARx8VpkDuZJdhf9pQ9AWIYQQQgghxH4cbKgMSqlcwA6gta7dbVGwf7kJyByW1gkhhBBCCCGAg/S4K6X+AHwF+AJw2x6L/0Wip/2fwN+GumFKqXOUUjL8RgghhBBCCA7e475Oa/3z/SxbDLST6I3XB1qJUmoscB+QqrVeoJRyA4+SmCN+sdb6qT1fo7VeopQ68yDtE0IIIYQQ4oSgtN5/za2UehNYB/gBdr/BklLqOWAZEE0s2m+Bv/v6FvYX7jcA/5+9+46TqyobOP47905v23tN7wkJgRA6SIfQe1EEBMVeXqyvovhaQBEVBSIiTQQFpUgxIEmoIYGQSnrb3nd2Z3baLef9YzYhbLK7pCybSc7385nP3plz7zPPzDwze+beM+eGpZTPCSGeAP4GnN+72jwp5WO9639HSvmLvnEKCwtlTk7OjuvnnHMOc+bMGfTBfhzRaJRAILBfYqnYB2/sk0466T0p5V7/tkPVsIo93LFVDavYmR5b1bCKnemx96qGpZT9XoAqoLL3UtWn7baBtu0n3pO9f78LHNa7/Fg/604jPRznjL5tY8eOlUNl/vz5KraKPSjgXbmH9S9VDavYB1BsVcMqdqbHVjWsYmd67L2p4cGGykwFrgFs0nvFdz7pkiGEeBlo7f0CcOUefF+oA8qBZfQzzl5KuRw4ew9iKoqiKIqiKMpBa7DpIOdIKS+VUl4OnNGnrVhKeaqU8srBOu1CiDwhxL3AdCHEd4F/AhcJIe4BntvTpKPRKDfeeCPPPbfHmyrKAUHVsJLpVA0rmU7VsJKJBtvj7hVCVPYu+/u0+YQQlwPdAFLKF/oLIqVsZ9dZaT67J4nuLBAIMHfu3L3dXFGGnaphJdOpGlYynaphJRMNtsf9VuDLvZef9GmbT3pGmQIgf79nNgD1LVnJdKqGlUynaljJdKqGlUzU7x53IcQxQBbpaR8BxgIbd2pr3b4qg0wHub+pb8lKplM1rGQ6VcNKplM1rGSigYbK5PZetpN92nJId9r7timKoiiKoiiKsp/1O1RGSvkc4JdSPiSlfIidOvG9bYHdtX0S1OEtJdOpGlYynaphJdOpGlYy0UBDZe4AZgshqknvWR8F3DVY2ydBHd5SMp2qYSXTqRpWMp2qYSUTDTRU5m7S86y/Tnoe9+bdtL3R29Y0VAkqiqIoiqIoijJAx11KuU0IcSvwKT78Aep129v46MmYFEVRFEVRFEUZQoNNB/l54AvAN4F1Q5/Ox6PGpSmZTtWwkulUDSuZTtWwkokGOwGT3vvXBEp3bhBCnAocIaX8mRDicinl40OR4O6ocWlKplM1rGQ6VcNKplM1rGSiwTrufyA9RCYJPN2n7SKgoXd5JvCJddwVRVEURVEU5VAzWMf9i8C5pH+A+lqftjiAEEID8vZ/aoqiKIqiKIqibDfYGPc/AQZg9S7v7HnSe9qfAR7b/6n1T41LUzKdqmEl06kaVjKdqmElEw22x32TlPIpACHEYX3ayoArpZTRIclsAGpcmpLpVA0rmU7VsJLpVA0rmWigEzD9AxgnhDim96Z84H93WqUFuFMIAfC0lPKFIctSURRFURRFUQ5xA83jfslAG0opXxRCvAV8BvgNoDruiqIoiqIoijJE+h3jLoS4XQjx950vfdr/AtwOrAEmDHGeH6HGpSmZTtWwkulUDSuZTtWwkokGGuP+bWCmlHJJP+03SynjQ5DToNS4NCXTqRpWMp2qYSXTqRpWMtFAQ2WkEOIkYJeOuxDidqC6d3y76F390iHLchhYHU0IoSOy87Ei3eg+P8Ix2G95BydtG0wD4XLv2XbSxo5HQWiQjCG8ATAM7J4Iwuvb57yUg4uUEru9ASEEIreE3vfqLhJrV5LcvA7PpMNwV43+RHO0enoQTgfaHr4XlEOPlBJsG6HrA67TE4tjJlI4oxG8JcVoLmf/66eSyHgUEcrt9/2xndkTQ/d5d6wnLRNpGGge7949IOWgU9MGNa1QkiMZWbRn20opQUqENthEf7vb1iY9K/fAogmbLU1JdF0wqtiF2/nRbWzLQkY7wLbScW0bu60O4XAicop3eY/IRAxzy0qE248+YtKu7ba9V49HGdxgPdFzhRCfArrZqXMupbxFCOGSUqaEEKOB9qFOdH+xDQPNueuHuZQSq2ELdqSLxh9+AX9eAIBwtyTabeIrzcM9fSYdeRMpafuA2Lx/YVsWPa0GzW+swVFayvRbr0JPRbH9xcR7JD5HF3gDdFYdhzsYxO7poemWT6PpgliXwbonVhEcV8GE/7kC3SFwVI+jffESEo21aPlFlF14Od7iEqS06Vm3GLu5Ft1MIDQdo6kJY+M63NkhbFtiFk+n/o934RlVjau8mGRTmJr7/4EIhsi/8XMEN/0Xq7UF19gpOGafhm2aONsbSCxfTOeydbhKSnCPn4I04vjHj8dRUk3H+yuIv/061ogR2EYKo7OTzoUL8VRUkn3UUZ/0S6f0YYY7aXnsL8Q3rMFoacZdVkHF93+KnUzR/LufYjbX4PR7ENlFZJ9yBnpOEXphBZCu97o7f0HjMwtJzS5/5/oAACAASURBVD6JzsgYsha/TvnbD2K0d+IZM4HsL36Hls0NRO+6jeTGreh+N8kvfIGeWBzqatnyq9tJ1DfiLCgk/5rL0dw68XdW4MrLp/iSC4msXEVy4dMEikM4qsbinHgkWm4xdipJzdx76HzhedAdVH7xC3hEHKPHSfMzz5I3ezrGuy+R7OjGCFXTuXglXe8vp+DUkwiNLkFvWYetuXFMPApXxQiMlhY8I0aBaRB54xUcWTn4Zh5DvCVMa1sPzoATMxol2d6BI9WF3dWGXjUBoTtJbV2PnpOPo6BkmF/NQ5M0U5iRDnRPAM2b/sy1bSv92drdhbO1nuizD0KiB1dxIY4RkzAMDc3rx3P4Caz70f/R/e57lJ53Ku7Lr6b2oacI/+lBdIdFsKqQ3MOnozsFeeNz0fwhXMedD4DZVEPPE79DGgbSE8R15bcwe5KIpo1YbTVonc04s3LQsnJ5//uPkNi6ieJZ5RSecyrOkjJSb/8H4XKh5Zegjz4M03akOymmTdczj5BKmBidETpXbiZr9mxKL78IoQlS8SRdTz+CbiQJnnERWnYekRf/Ts/Cl4h1xjE85finzyJ/5ijM5jp8047AVV7d+1yZxFcvxW7aiqO4AtfEmR9+kbBt4ls24whl4SooGI6X8pDWHIbX14Blw7ZmC7nubaxoN1t+cxfeynLyTjsV20yie/zoHh8bH3iKTT/4Nd7yAqrOnkL7OyswusNobjcVn/00RlIj55gj8VWWEVm1nIYnnsKZHaDkogtJ1taRamuj5dffwTd5AvHmdjqzRqOVjyLUsg1/VSWeUaOI/fdpzKZabEOSqt/Kpot+ikwmyXrqTjZ3NlBw0ZXIwjLsJfPofH8tocmjCI6pwk4FiK9+B9nViuhowGjvwA4V4jvyJJIb1qD5AmjZedjvvgBmEqHpiLZGGiqOJ5a0KXXF6LrjOyS2bcVVPZbKH9yGQKJn5WDbkDTA3acLJqVEAtogX6CVtME67jdJKVcDCCGm9Gn7PyHEXcBtpOd5v3oI8ttvrFgP9T/9NsmaLbirRlL+g1+i7bSn2lj8HxKLXkYWHUagMIjQNIzCClynHElg6RLM+f8hvnIJhTOm0bNxE7ZlY8cTuGyTitlFyKxCRHcr8fYIS394N7N+ex3C60Imonh75rGm5AzM9hb03m+5noDOqLNH4vRqRP7zT7rrI8S7Yrj8DhxuByDY/NqrTHjoSVrvu53UlrXkzJqOKCoBTSO1cT1OrxspJU3vfIBx8lg6/vNvbMsmnjuS2NIPKJlSzKapF1Py4r20b61FO+cSHFXj0eq34WxvxPXuK6x/4i0KJhQR3ryBkFfHP7qKjuXv0PzoC8j/PoVdWEoiJ4/Nn7+M9jWNWAkb6fRScd0V6LlFmDlFlJwwC5dTR0pJonYLsq0Zz/gpaL7AML3aB6/k0tdIvPYswu2lY2sr0XUbEYCmC+Ib1rHltp/QUz2Opv+8ipU0ACg6YhzmG89iuj24jj2fjg1trPnmD6Engv+4wxFTpzOu6y3qzQI6l61DCOhp6kDOnI+/tAhOOYXmF36NnTSQF7fTun4Vrf/zHYzOLqQlyfnCDdjFBWy89lukGloRArbd8wA544uo+tRUdJcD2VlP6q1nMExJbPM2Ol55D2FZeLJ8eCJbWHv/CxhXXk3L6jUE4uvY8Nh8Ilsb8eSE6N7aidFpkGhqY/rNJxPd1ojR0Yn99lv0tEUpOnwMHaNmYr02DyPchRk3SERuJ3LFtymv0thwzfdIfOU6YrW/we13gYTU4pfo2daMGe7AW1KA7vXiOelCXBOPBNJ7Y83GGvTcQrRg1jC+4gcvaaboWfka0rZo+veb1P31ZVyF+VTdcyumadDeWIvvqXsQZrqOk03NxLPLkNkFiNWL2Hr3PbS+vxVpSzb+/kEczy+h563lYEuyppcy5owJIJI4Al5ELIyMdtB1309g5rkk33yBzrW1NK+so2hyKeHLLsIV0tE9LrJHFuMKeEnVC1pWNJGs3ciY88agO3WSy97E/MCFHvTjqa5CdznY9pf76alrxpUdxL76WhxGKx3zXmPrgi1ISyJrVmK/+QSx0TNx1q6n/Z0NZE+upuv1VwGJO+ilq6aDlqXNxNvWkP3OYqxphbQsb0NqOqW3f5/w0lWY5UXE33kSLRgiuWkldQ8/jKe4mJyz5rD1jl+RrK0BISj/ytfJP3POoEcRlP2nI9p7NB0NC51IXJCoa6Dh4Udw5GbjqMhCc7sxdTfd7nw4eiql37qK7M2vY8Y7MbrasVMGdjJBzX33EauLY8YNfBUejGQAf0U+4265lJbH/0LH6+9iXnE1DS8voqyrjfbWBEQX0NPSRQTwzJxJVnURrU89T9aEKrInj8aZl0V5zwfYL/4Du3kL0u3Dbt+CePcFZFc32VkawYkjiW1rICVTzFvUyqlHmHS+t4qG9e3kj8xl2/2PklWWhXC5aXi3kcnXnYDm0pGmwbaYn1hdPSWLHqd+4WKEESXS0AX1S+i56kLcOT5WHnMLelGcJZ//ErmeBL5Tz8Gd66HNXcLL9ROxLZMTc7dQHV1Fqr2TyNZOhOak/Por8JYVY3e1owWyEE7XcL/cw26gH6f6gCuEEN7e5Zv6rBICzgN+DjQMXYr7R/fCeSTra0FKUvW1dL/2ykfajXXvIVMpEGAmTaRtY1SMBd2BuXBe+vCRbRNZuhxcTjS/H2wbTddAgDsrfRi1ddEGpJRozvQhXSHAZcWQWrpjK23Ze7vAHXCw/bNVdwmQEt2pp4c3CJCxKE333I6xYSVmdxRhWaRHJoFEwzYtjGgcO5X+xyZNk2RnHC6+lpzyIL7jjsb9+rMIaULVKPQx49GAyJvv0f3XxzC6e7BTEt3vJia9+EdXs/EX92N0hGl74J/oWT7qZ1yKE4OOD1owogYp08/Ib36GLQ88zjLvVFYtaeT1H97Df3/9d1Y/+yKd9/yUyAuPseaai3n/7HNoef6lT+T1PRTY8R4SC58B00D2dBPwS4zuJEi5Y53OxSsQAqykgTQtpGkR3lCXbkwlSaxcwvJrv4bR1sHoOWPJmVzO+KaXKOr6gJwX7gPSsXxHHoGrpBDN5cI3bTx5554MNgivD6dDw+7p2b4qrqoKjG11pBpadtRzvLEdze1EczrA4UjXNBIrHkd2tIIQaA4Nze3GiiWxPT6cpcXkXTKHeGM7XZua8Bf40XQdsztd377RpSAh3tiKAJKRJAWTq5DFlUR8xQgjQU9LD86yUiLRAIEjpxJ/cxFGewxvrh93ThApJZGEm56whdnViacwD+F0sm3e+yz73Fd5Y9qRrLvqfJp+cCPhv9zBtt/fwaqlG1i3sZENP/sZqz53A+2vvpo+tK3sE7O7A2lbpFo72PanZzG7IiSaW7Ec2/8xC7CsHevLqrFQPRY9FMSrmyRaIzs+T0ESf281dtLENiyKZ1Wguxzo7g/3TQlNQ3Pq2PEeLM1F43tb8Of5cLh1kpE4mkOAaeDye9B0DSEEzYu34vR/uHtQCJFOS+qATA/PqWsGwJ0bQgiB2dlFsjuBbdr4i/2EytK3xycfT2xjHcmIQbDIR7QpjDvoxRXwkuyOkehIUTA5l8oTRtD8XjPJWJzSG8+jJW8S2pvz0F0OhN+PVljM5sdfJuRJEHB0s/E3vyWxZTOmw41wanT+dS6LZ53A2yecx39HHM+8wiPZfPfDmNEItmlgdoexk4khfnUPLWV5gGmg2yl0TPzhrTvavGNGpIe4ahoxVxZoGsLlJLdIo6ctQmhcFbZp7ljf6EkSq+8h1ZHCikKquYMRN5yJ7nbSvWIdsnddM5Ei1t6FiEXSw28FSNMieN55dL76Ju7CXApPOQZPeRn+CePI79mMO9aGL8dP4bSRiFQSiYbQBJoAM9JDzaPPYKcMuuu7sGJxWjoF/i9+FRHvQVoWTq+bpKeAyJYOzHgSuyeGFIK4M4vKzf9h9W1PIKfOIBVNIm2J06Xjy/fTreURKRiHp7MW/+YVREfMIvHuGwhsFqzIxjZMzl70TVx33kxk3r9Yc+s9bLnrITqffYoNN36W8L23Ep73OB0vPUZs2etIy+RQNtAApD8AZ/f+/R2wrE/7AsAnpVwBbBiS7PYj4XQhtN5ehRCIPsNltJwC6B2PZUZjdNd1YjY0YSdTsNM3POFw4MkOpXvk28dbSmh4ayO25sRbnI1tWLS8uTbdebIlLcExyHgcW3eR6IxjJkwizbHeb+i9h4ns3uE6hp2+LiVSglFfAyL9T6f93VXQ3kz3mhoiHTaJljBImx29JQlWwkJI8E6fiseOYOUU07qmIX0MD0Gyron6n91N14YaHF43ZtKEQBaOKVNpW7gEJ0m0zlZclaVERR66EQcB0ZooRtSk5Nxj2firxzCmHAVvv0bWtvegZi1t007Fv34R/hHltCz+gOZlLYSOn4W+7S0677mVjn//k9p776Z76XtD+jof1KRkR28Z0P1BhMtFvD2BtCW2aeMoG5Me355Kf7AJXcNXkJ3eQGhY3nwA3NkekBCMNaLb6Y6xbVrpPYRSpt8LvXUlhEA49HQdOnSEQyd4xqnonvT7IvrWYozNW0Gyo3axoT6RB9u/sPZ2dEUqhe7Q4fSLsfxZJDu7kAJ8k9MTUwmHA5mTDzY4PA58BV6EI/2+jHULoo3taL2dMd2lozkdWC4/bplC6Dq2ZeOefSyeURUkN27FWVq0I3ekRGbls+6+V/FXF4MEzalT/9pKIvUdpLpTVJ00jkhNGN2l076ug47Tr6f9gSdoPv9cOv7zIhpxGu68jdWXnEVs3QdD9lIfCjSvH0jXXe/+COxID1Z7Z+8aEmvcjA93duTkg8MBpgFSUnT4CDSHnq4PCdnji9FcDoSuEa0PY6VMsCXYMj1+17JItHQgnC48R58JiN6dJAI7ae14a8U7urFNC9u0sJIGiXACI2ZgGRbSlsTaurC6u5G2xEoYOIM+EBBvTeetB3uP5NqgOz78FytMAzNhph+Ptn2IS/pz3pPlx53jIm9yEe7sIInOJM6AA83vp93IxnR6QQj0QJDw4qW4vG6cIT8NI07CamnGDOaTGHskWSVZbJtXQ7Spk+i6GqxwJ0XXfIrImjdpWf4W2371QzbffBWbbryMnhVLh/T1PZSEvDCr8T8UPfNbju96CldlOQDCoWE0Nqc/gwAhrR07Wmx/Fq6Ah1htE7mHjUU405+t8aYPv1TFGqKga1ixBNK28Y+uQjjTn3+aruP0+8C2cQW8O/bf2NEoBi48RXkf/rvQNGQ0gqZp6S+wDh2nW2C7fAghkFIS/u9CpGX35mmz9uGXcc4+DuH2IgTYtkTaNs7iAoQGK/+4IL1zKGWQt/ZV7O4oZsLAPvNStIJCpGmnO+8eF3oyiqujDiGgbUUH7soChCYIL1wEyQRHr/4tom4zmi7wFORhJ0wKphRSdlwlhTdcip1XgAjl4KxZS/ylJwjfeytWKonZUkds6du0vPDqji80h4J+O+5Sys8Cc6SU1wGPAvP7rFIrpfyVEOJ/+YTHuO/NFE6hE07DN2k6wu3BN2UGoeNP+Ui759SrcM84FuFw4jvsCILHHIEr2oGs2YJ+3OloWdlooRDZV11H4LQL8RYX4qksw11ViXvieLJOPhbH8ZdR9oOfMeYHX6NpaTMtm5NsWVxP7fPvYP3xFwjbJv+yCwmefBLFV52H5nQjdA3bgvb1HRhRCzNpYSRMTEPiP+I4/MedjrQlmlsn1d5J3dP/pfuNt2l8bQNdjQmSbV0Ey/PRPS481dX4SnOJ/ep2ek64ABcmI6fn0aaX0rWuHmo2k2ppR+g6seYuNj2/lEB5Fi1vr8f7qVOISC9GTwqxeR2VcyZix6G97EgsW+AvCZDsMIjXtWK0d0N7K+L9dwhdcCaxqIllSqziKoQQGN0pii88hdwcEy3WTVc4zuY77yTaVE9DJMHmxx6h6/VnSW7q+13w0LE3Naz5AriPPjO9x8bjI3D5zYy5/VcEjj2D5tUmMVHN5D/8Av/oEYROnENy1EzMIz5F3hGTwOPHOes0giefSf5Jx5DqsbAMCysWAymxNQfF06tJxUyMmEH3a4sQZvpLZLK2gc7/vEbWUVNxFhSgO93kXHoRFXf8nDF/fpAnt03jbTEDoTvABmwoPuMYKn/2azqC1VihPKTbi+1w0t0YIZW0KWtbTM4ZpxA6djbbnnoVV7IbEEjTJDXtWAKTRhPvMtEwKf/UCLzFIaxtTYQrjyUx/likN4Ar4CbWEsbVsoVkqJDAmBGERhaTau2g/CuXoT/7DyJ2iLxLz8SMGSQbmrE8fqyeJOE1jfimTiHRESHZ1YPQBLaVPuKV6IijuZw0vFWLWVOH8dy/8GTplF5zAWZLE5YUaGdeSE1dE53NLUNVIge8fZ1KT/cG8Y6eQWD8REovOROh6+h+L773F6IZCQItm8g99ULq3t3CtoUfUP/IP8FIYTvdWG4/2aMKmXD10WRX55M/tZzs0X5GXTWb6ouPwDt1OvVvb6ZtdT217zcRc+QQ7dEInnctwu3BVVRC2Q3X093cjZkyyR1XSE9rAks46agN07R8C+1b2vCOHkX+xBIaljTSVduDd/Qo3JUjEBUTMIqm0byyhUS7jb8oC2/Ig7RsNJ+fvNmHYYQtOteHd+x9zHr1EcQl14ImaFvbRqiqgI7NLfS0hMmfMoLqsyZgmxaurAClx41E2pB84zVCdFJ72c9JJUyk7kToeu8PEgU9/hJSY2fSM/UkTH8OmhBYKYOcaaNw52Ux4Usnk5w4ndDhk3EYcYxVK8CySHZGqLvrlyw95yyWX3kVdjK5f4sjQ+zP6SBHX3E2VcUuGu9/FtEWw12UR/mJh1E+azRi7TL0njBZbZtwpqLY0TiNNRZWdjlmazvesmJGXHcpY75xE66AF6EBGjj8LorOmEHjKytIdUYpvvBM8s84FaFr+EuyaVq+Fd+4iUh/FmWnHEn2uEq0d+aT9+lr6Fpbm94ZmEwhTRPh9uzYGRNvbMVlp7BGTqJl0pkksisIHnkUnuoRIKC4axWtFBBftQbLn01q+rEEqwrpboriL/BTcv4xGKn0F1tpGASbViHiYYJVecTnvYb97V+Dz0cqmiLa3E1eDpQsfRJbCjSnRqqhi57lq7EiUcY892NKm5cgNIFlWHhy/QiHRrAiSDisIXOLkDmF6A2bSTQ0YUZjdJZPI/ro7YT/dDuvn/w5ll72ZSKr1tO9ct0+v46ZQAx0yFcI8UvgT8DXgZCU8pqd2n4BPA1MBQ6TUt48xLnuMG7cOLlu3dC8QAsWLODEE0/Ejkexu1vRgvlovmDvr75thPbhrAbSsjCb6xH+EI6s7N3GMzrD1DzwMEJobJs2kWNH5mM2bETzZxGLB2maOxfN56fgM9ciLJOsww/DTsaxYzGchUUIIeh66zUS61YTOvFU3EXFgETzBdM5SIkQYkfeAMmWNiKr1xIcPwqHbqFl5yNcHgCsRJLFZ11GqqkOzWGj+7xM+uPvCUybRiTaQ9vjT5Kc/xyB4iDZp5yN69RLWbhwIaPzq9Df+C/hZevQ9CTN/16IffhR5J1xDKllS1h+5FcZOdHH5JpnSC5ciBw9jTxPJ53TzyL829+QPX4E5sU3EP7hL5jwlbOgu5OuRe+yZsoJHDmyktDsk/b7mMydn5P9TQjxnpRy5t5uvy81vGPvdT/P12CPW0pJz4Yt6G4dOurRPF40twu9uAp0Jz3r1uIuK8OVl0946fu0/vt5ApMnU3zBeSxcuJATTjhhx0wGQghWbTZ4emGcYruZEzpeJGtsNYXnnZu+L8vEat6a/uFRXim6O703csfRpkgnwhdEOF3Mnz+fw8ePwWrrJDhiJI6AH6OliVRTA96xE/qdwcPu7sQyLVJSQ++oRwvl0ZPowbRMfNl5+HMLWTB/PrMqytCzAjQ+9zxrvvUHCo8eS96Js0AkqH/8GZxeB8HSAhrfqaVoehldm8IkjzwRfdE8AkUuym/5Eo2/uxf9tHNxHn8y4s2XqX9yMV1zTiD0p2c4at5DeCv2749cD9Ya3h0rntgxC8zChQs44cQTEZpOfOsWmh57BGfAR9FnbkC4HGguD6k1y0jVbMI9fhqOogqa/voXzK4uii69Ak/VSGzDSB9V6TOzzM7PqW0YSNtEaI4dkxZIKTF7Iui+ADJlUP/IU5DsoeSy83Hu5oefUkqM+q1YDVtZ1G1x/LRxIDRi7Um23v0I7uI8cmaOx1tdTWDc6HT87giOUHCX93Bs7Wq6nrgPb9BJJOKkfX09gaoiUhd8nq2ddcw++gS8LWtp/v3PMSNRXCefxboxFyPWLydcNIXRz3yPtn+8TdVVxxEcVQ4Oi23eyeT3bCZvZD5ND/6NxkUNlJ02kfblm3EEfORMGsnGw4/ntKuvGZJx8YdSDe9swYIFHH/EDITTjXC5saNhZDyClluS3snRD8tI0frvV9CDIfJPPnq3M7PMnzeP8c0NeEePIXt2+uT20rKwO5oQ/hCaL0iyuY2uRUsIVObgGTMONJ3khtXElryOI7+YwKkXoGkiPUNdLykl8+fN49jph+EqLErvie+OEU8YhIJeAr70DGBmpAMsE+JxUov+g9nRhtnRggjmEs+diqgaiRVuYdsPfoA0TfKOPoLK665mcUcPIzdsYfPdf8d97BGEKkKkPviAHG83mlOnqz6MKztA7uQxtC3dTPOaFkY/+lvcbTU4G7dgrF5JauancJo9+LvqqP/vOjY/txpp2Zi/+AqVa+oJTRyBOz9E8QXnoPv9++21PJBqeLAfp5YA15A+M2rfMe4jgC8DX+UTPgHTJ0HzfjjLAWwf2/jRqciEruMsrRwwjjMnm1Hf/AoANQsW4BwxFeeIqQC4gZzZR+563y4nBEM7rmcdfTxZRx+/2/i7+6B1F+bjLjx2t+vrHjezXvw73Ss/wF1ShKf0w2mesrNCZN90Hdx03Ue28bhg9IwRMOOGHbcl6puwYnHiTa10jBvB8Q1LsdrLCJ5zA2UXfprw4iXY3dtIdCcQ0QjBwybStKkWV8iDZhu0LXgLXZfY2fk0+Euoue1WfGaSkqs/i2/suAGeUWVf/7kKIQiMHZm+UlW1S3tw6rQdy9kzppM9Y/ou24ud3guTRzqZPNJJ+mcvYz66ru7AUbrrNJPb/xmJrLyPxA2VlENJ+Y7bnIXFOAuLB3w8WigHDXAC5OUCsMvPl4TAO3osABVXf5riOXMQuhtXbg5SSrKPOYlkWxuBqdMoa6qnbf4isk730/T8G0SED80pSW6txTdlEkZRCdrzf6PRM5me99Yjzj2BQHacDx56jMSczxHI8jKxwoFTVz8O3BO61/PhFU3fsZPEWz2CEd/74S7reybPxDP5w/93ZTd+6SPtu5s9rK/0Oh9dTwiBM9D7+etxU/m5KweMIYTAVT4CykcgFixAL0jP3BTMhym//9Fu13dmhXa5HcA3fhK+H/0OgGygYqe2lgV15AQEBCZQ9ZuHgXRHKzdmEBt7LF0xQV3pHym9aiOO154jMDofs24bruoqwq+upGB8GeRVYlm15IwspmNNLeM/fwHhdXWATeRvv0UrKYFgNnp+KZ6qSR9rmkGlf5r/w9dZC2RDYPc7+HamO10UX3DWgOsIl4uSa6796G26jl5QtuO6uyifwvPO/Mg63mmz8U6b3X9cIdDcblyFRTuu52T5yenz+3xHMP05SzY4LrjxI205Oy2XnHAs0jBwBNM7GsWCBVTdfBNVN3+0O5ncuoGOv82lcKybvGu+iLOwhEIgfMwZ1Hz7l+RffT4ilU1uMIDpDuBOhkEIfIV+HD6dwjOn0VgQouW2P5AcFwQBzY/+iSmPP4kze/DnPNMM1nH/M1AgpdwohFjUp+2LgFdK2SaE+PPQpKcMBc3tInvmYfsUw1OW7kz5x4wgf5dWJznHn4htGrS9vRihCeIbt5JzRDlrF61l9JXHYMfjMH0WUnPQ871voKeiRAT0rHifSY/9C92n5qZXhobmcuMu+PDLgBCCrKOO/nCFyiqCR6avl92U/gfTs24NsQ9Wkn30iTS98iqEOzAmlaE5QQ+58E2uov70Gwg6LUSyleXrvVSXZpEXEmp2D2XICCHw+134gYIsGF0CMBaO+iZ2dztWVwsTIhHiV12KIzsL73ubsY23CG9ppuSYyYTX1tH2+vs4b5yBSLUhvT6QFmZrLSlvEHdR9fA+QCWj6R4PeDyDrueuHkPJd+/Y5fbpj/+ZdT/8OT0vvM7YH/0P3qIL0J66j5aJp1Ky6t9kTywhf0YBBVdcQO2WDkL5bhweHaffjTfXS/3Pv0Plz/+ApvV//odM1G/HXQhxKZCfXhS7GwbzVdJ73a8Gric9nEZRdtAcTkYeNYuayz9N+IWnyQvlMOW3t7DtlffIGzueVCqJ3dmJiHWDLvCV5pE7rpz4E7/GUVCMc+ap6MXVw/0wFAX/uAn4x6UPLI6ePJO2Z5+gsWgMckI1pi6IWW68jhQ5rgQfNAZZ3xhArLKZWmlz6vgYeihLdeCVT5QWykMLpY9obT/FWcXXb6FzXRdb/v0SZadORncb5I3Op0MAjg+PPBgtrcjoMpy+LLRgzq7BFeUT4K0o47C/3P2R27Iv/xK+LWsxT/sM3qJScmK/RzgcCE1gxi0cHif5E8rxFubCiDE0v/h3vNVTyJow8aA5IdRAe9w3AU29y4Kdp7NICwLre5eN/ZyXcpBwOh2MuuYzcM1ndtxWdFZ6/HNszTJYvIJEZwpfkY+CSZU4c3LQnDqJ9WvoXrIE7/HnEDhZzUmsHFjyz72MqRs2sunqS2g2YzibNiEjLbTrRaxvCkIqQdGaFyl87CHWyAS+MeMY8bM70dQcxMowEprGtLk/Jz2LM4QXvUPjr/8vPetYuA3Dm8PW3/2VyjMOozlvDC+tWkLV2EKOPG2a+gxWDgiaP4Rn8odDjCs+fzN1D9yLo6gMd4EPaYE7J4AYJ9thlAAAFOZJREFUPZ4WmU/iwUcpmvoGtQ1N6KFsCr96K87SigHu4cA30NePy4Fz+lx2JoESIcQ5wMCDUBVlN3wTDsNbWoJ0B9EcjvQpzV1OkvUNdG+qo/7wy1hVeDQrlm7Fsvv/EbWiDIesMaOZftOVOPIK8FSOxvfo7XTEPOhYHPbwdRy+4h5cRhRMk/iWTUSW9B1tqCjDK/uoWZT/5A5sqSMDRdQ9Og9fjk6ycCR3rzuKqnf/SvbDP+CDb38DO3VozjyjHNh0v5+qL38Td2ExR7/3NhP/+g/QHBhZhXQ9+S8qT5tBsrEZyzARHieR5x/C7m4b7rT3yUAd97tJ75F/kvR0kFaf9h8By0n/fuaLQ5KdctATTifHvPUyWn45yWgKM9yFFUsQG30Eyaop6V/Cay4a29UJQ5QDjxACZ0424++9n8lzH6K61EeF1kCu0YzDnf541RwCYaZIbN2EHenAaqlBWn0/ThVleAQnjMNRUEjo8i+hF40gFUmyLZbF4V3zyStwkX3T53HlZlH/+59jNNYMd7qK0i8hBK6CQrK/+BNcsS4cuTloDh3btHBXVOAbM5q6l99l2ac/S/O772NamblDcKB53LcBASnlYinlciDVZ5XzpZT3SinvYde98YrysQldZ+J996EdcTZG2WE4K0aCruNOdDBixRN0tiRYtjxMc4dJTbPN6q0WKTMz33DKwW1yhWDGjEI0p47T50J3ariCXvInV2KvfpPwv+7nlefWMO+JRcQTh84JQ5TMMPJbN9PdpuNY8AKGcBE49TTq7rqfXGeU1GHHsKbFZOuGGnXmYOWApgdzCJ11LaO//hU6GnpwhEJ4SgvZ8vgrmN4g9q33ssVTxZL1ERo7DOwMq+fBRuq/IoT4pxDicWBVn7YpOy1P3b9pDWx/njRBOTDoHg+F551P/sVXE7r+u1SeeCyl9W+zpOBczHdeZ9zDN/HeHx/m/mej/GOhwT3PGhk9fEbV8MFJCMHYET4m3H0vwp+N0AS54yowIgm8JQU8HDufl+OzeCM8muee24xMxoY75b2mavjg4y0v4dh35jHzwT9z9vevxhIOtFiExIhp9JSMo0i0YNSs57F/bOaVJYmM3WO5narhg5fQNIKjxlH9/Z9T8I3biNc1YcSS5H71a5guL0JIkpaDDfVJ1q5rwkpkzmfxgNNBSin/Dvy9n+aQEOJ60mPdc/d3YgMJBALMnTv3k7xL5RMkhMA39Uj0nhaSXRpjljyKpyqHZf7jMDU3mNAZlbR32RTmZOY0T6qGD27+sWMYdc9f6V70Oql5jxBrC+MqilIbKiLb0cOXK19O/+N4XcN11LnpOZ4zjKrhg5fmdFJc7MTKOYO2R/6O5faRa7XC+hX8adscpufWU92wnDWdRUw+ZXbGztahavjQ4C6tpPBLP8IM3o8uLDxakqjlR5gGEzoX4HZJEmEN9/hZOLKLhjvdQe3Lu+1moIH0zDOf2FlTlUOHa8anGG+tAQTdDV1kN3+AZiYZWyWZNQVW1llEE5m9x0c5uIWOOg69agIOj5OOZRsYaazjptJXcGsGbs0Cy8Bq3DjcaSrKbuluL5PnPoCzJ4mwLbprWqjwhzmr5APK3Z2MMNdibFkx3GkqyqCcBUVUfev7hPwuQnThEgbBx2/HTQLhcGA4vSTqM+OzeF867l+SUr4opXyBXc+qqij7TLi9TD77JPJv+Apm0mLa63cwvvFlirJthBDYpsHm2i413lI5oIUuvB7d58ed7ePs+nvxawmwbdrX1dIdqqArniQRzuxZDpSDl+71UnLplRSNnUSuJ0mxsxNhmZBKoJsJ7LWLkSk1eYCSGYJjplFUUkS+aMV6dxHS5SHpzUKPtNPz6ktsuu48tn7tMyRqt2BbJlZ3eLhT3sWAQ2WEED8AJpMeDiOllDuf+7lyp+Vdz5uuKPtJ2XlzKDzhOD64+WaO9K5hq3YGgfBmJrk3IFKC+NpcvONnq3mGlQOSHgxR9uPfEVu2GGdhMaJ2Ka1vvY/zlLPB5SL2/jIS69dTesGn0fTMHPqlHPwcXj85V32Nk15+Bt1OIaUk1dyC1RkmFb6PwAXXo/kCw52mogxICIE/K4cyt5d2l5f2FZspmGRgGjbRpcth3FQS8RQ13/0SvrwgDrcL87BTMFsacBSWDnf6wCAdd6BQSnl5P22WEOI20p36zBzgpmQMZ3Y2Ux99lORz95Da+DJ5yTr0sVVY8QSJcA2ukrE4svOHO01F2S1HbgGhk88GwC4rI/nCWzg0Qdsf7iFR30KiNU7t3KdpGH0SZeeezqzTx6svosoBR8vKI//i6zDWv0vPy09hNrcAEFvxLj3baij44v/iyMq832sohx63x8PUB/9C49NPIWwL6XBBxQhSOcVoy/6N7nGiOTSQNtgW0f8+Q/YVXxjutIEBOu5CiLOBLCHEFUAXQO+wGHqXbxFCTOhdXjPUiSoKQoDLTeCNFzArKml+uZnaR/6N7gbN9Rum/HkuoWnThjtLRRmQllNM4TU3Uv/XP5Osb6F1VQTPYWN4oeAyGr0T4RXB6kgr119SONypKspuOcbMwHr6UaSUdG5pwogkgHo6V17D6N/dj6vgwP+Bn6K4CwuovvHzJJu2Ym9bjevwI4i9thiHbZPsjuPNDQK9e6cPoKNJA+1xzwdeBVxAAencdxBC/K33Np8QAinl+UOWpaLQe3KFo8/Du7WNmqfmEdkaxukDTdcIFPp4//6/k/u5UiZOykfX1d5K5cAVOnI2jrx8Vn/2c3ivuZrU2/+ldvIMEOmDl2+uSHL9JcOcpKL0QwgN14QZRBbMw4gmMIuqCV/3UzxBJxs7E3iTLZQX5+F0qKFfyoHPXVyNM68MvWUr8ZRObO0qMAx6Wrrx5QeQtiRw2kXDneYO/XbcpZQPCSFullL+EUAI8bU+7VdsXxZCfGPoUlSUD2lZBRR94TtQMoHV//MTNIegbEYF75ZfxJuB0xHzbCpXdfHVK7KGO1VFGZBv1BjG3nknK158D8+5FxLY1sZpk8J8qrKeLtNHfW0IQ51oTDlABc6+GlM6CG/5C5Fzv4CvfjWBSaNBd5FIpGhq7aSiRA1fVDKD5nTiLxvDqAtH0lk9kqY7f0ks3E28O4k4JoDm9Q13ijsMNFTmDuBoIUQ1IIBRwF07tU/cKcaEoUtRUXZVdP55eEeMZuMtX8fhc/Gu/3hszcEkXw1Gl4NIT3C4U1SUQWXNnMEkT5AthpfP1m5jsquG1PrNPPqkg8UjqznvpAQP/KOR6y4pGe5UFeUjhKaRPecKkuEonbZN9uKnMSd+Ey0ewdXZiF1UAarjrmQYXdfJP2IWOQ/8lfDr89F9ATpMe7jT+oiBhsrcDSwDXgds0vO172z7gdxE77qK8okKTZvEhN/dSdvdt1Fo1HFW6RZKvN3g9eFcthFSHqSRQjhdw52qovQrd/IYcqTErHZivrGCVQ++weKpd2A53EgET89r57MXF6sfqyoHHCEExZ++kUDCouHZ23GsfIv8+vcB0ASYgS+Cmq5XyUC610veaWelryxYMKy59DXQbDC/As7r/fsb4LE+7f+QUv4YaAQOnGMIyiHFO24yWRdfx4X2c5R7O9FKK0jWNmFvXIEdDZN88QGkbQ13mooyICEEjuxCRCAHpMQXD4NtA5KQF9VpVw5oAY9O+Ve+R+D9VxGaQIwaT0J6MF57EhluxWrcPNwpKspBo9+Ou5TyEmAV8CXgBmBJn1U+LYSYCowAPre/ExNCnC2E+JEQ4ur9HVs5uIROOJ2q7/8MLZhFx+I1aOF2NF1DILEjnciu9uFOUVEGJYTAfeyFjP3iOVy45FeUNa/CLSz+75bRw52aogzKN/Vw8m+6BX3kWLb99UWCRSGEpgES8/35w52eohw0Bpt/fQzQCUSA4j5tVaTPmPrn3nX6JYQYKYT4sxDiyd7rfiHEQ0KIPwkhrtrdNlLK54FfAwfGjPfKAU0IDffMM+hatpnuLa1YKRMpQVo2wh8a7vQU5WMRThd5N3yTSza9wH3/voKKygDV5Z7hTktRPhZn9Xj04gri9a075qGTAE73cKalKAeVwTruc4GHei//6tP2Y+BhKWUd8NxAQaSUm6WU1+9004XAk1LKzwHnCiHOF0I82Hu5EkAIoQH/05uDogxKzymk5NKL2fTMcmrnr8OMpZBTTke4VMdHySxCCDU8RslIniknkDN7BpufW0QyHEVaEufsc4Y7LUU5aAjZzw9HhBAjAC/pGWUApJTyg326MyGelFJeLIT4LvCilHKZEOIxKeWVu1n3f0nPH//Szid+AigsLJQ5OTk7rp9zzjnMmTNnX1LbIRqNEggMzUT7KvYnE9uKxbF6YiTdToKhodnbftJJJ70npZy5t9urGlaxhzu2qmEVeyhjW7E4SJu4lKqG9zMV++CJvVc1LKXc7YX0MJgfAj/qvfxwp7as/rYb6EJ6LzvANcA5vcuP72mcsWPHyqEyf/58FVvFHhTwrtyL94BUNaxiHyCxVQ2r2JkeW9Wwip3psfemhgcaKjMWeA+4U0r5YynlT3Zq+54Q4tsf98uBECJPCHEvML13b/s/gYuEEPcwyDCb3YlGo9x4440899web6ooBwRVw0qmUzWsZDpVw0omGmge998BJwO/FUJkAeuklN/babtPCyEOJz2URkopL+0vkJSyHfh8n5s/u7dJBwIB5s5VQ9+VzKVqWMl0qoaVTKdqWMlEA3Xca4E1QFHvxbu9QUr5TSHEA0BN7/XIUCapKIqiKIqiKIe6gYbK1ANXkp455utSyq/3ab8QuBO4Uwjxw6FKcHfU4S0l06kaVjKdqmEl06kaVjLRQHvcxwEnAF8SQniBdinlT3dqz5Hp6RwRQtwxhDnuQh3eUjKdqmEl06kaVjKdqmElEw3Ucdd6L16gGvD1ac8WQnyG9PkV8oYkO0VRFEVRFEVRgIGHytwF5AB3SSkvkFLe1Kf9JqAN6GDXH54OKXV4S8l0qoaVTKdqWMl0qoaVTNTvHncp5bUDbSilNIDn93dCH4c6vKVkOlXDSqZTNaxkOlXDSiYaaI+7oiiKoiiKoigHiIzsuKvDW0qmUzWsZDpVw0qmUzWsZKKM7LhblsXcuXOZM2fOfo89lG9gFfvgiQ3k78vGqoZV7OGOjaphFTvDY6NqWMXO8NjsTQ1LKTPu4na7ZX+effbZfq9vX97d3+2XsWPHqtgq9qCxgR6paljF3s+x+y4PZewDqYY/ycetYh88sVUNH9qxd75+oMXu7z76xt6bGs7IPe4D6fvNaOfr25d393f7RcVWsfc19r7K1MetYu977N0tD0fsfZWpj1vFPnhi76tMfdyHUuy+tx9Isfu7jz2J3R8hpdyrDYeTECIORIEw0NWnOavPbTtf3768u7/bOUlPc7k7KraKvV2xlDLYT+xBqRpWsQeIufPyUMY+kGq4b26Z+pyq2J9sbFXDh3bsneMfaLH7u4++sfe4hjOy464oiqIoiqIoh5qDbqiMoiiKoiiKohyMVMddURRFURRFUTKA6rgriqIoiqIoSgY4qDruQojvCiEuH4K4s4QQtwghrh2C2GcLIX4khLh6CGIfL4R4fD/H+7YQ4pr9FbNP7P2Wa5/YQ/kc79faUDW8S2xVw6ga7o2rahhVw/3EVjWsanjn2Ad1DR+QHXchxEghxJ+FEE/2XvcLIR4SQvxJCHFVP9scD6wcithSyneA3CGK/Tzwa6B0CGK/BiwbLO89uI+jpJS/HCzXvYm9p7nuYeyP9RzvZezd1oaq4f0WW9WwqmFA1bCqYVXDqoYPvRrerT2d+P2TvABP9v69BpjTu/wEcD7wYO/lyt7bvwH8BLhrf8feaZsvD0HeGvBjIHso8ga+sx+f91t6l7+9v1/Tvc31Y+a9R8/xnuY9UG2oGlY1rGpY1bCqYVXDqoZVDe9LDe98cZAZyvnwG7AlpXwaeHrnFaSUdwohqoGj9ndsIcS5wAygcX/HBr4P5ABHAy/s57ynAccJIZZJKV/aw9x3uQ9gkRDiO0D9XsQaMPZ+yLXf2Oz9czxo7D2oDVXDe5e3qmFVw4Cq4e33garhXWKrGgZUDcOhUcMZ03GvI/0glzHA8B4p5VZg6/6OLaV8Fnh2D+N+3Ni37UXcjxt7OXD2Xsbf5T5k+hDUa/sQb6DY+5rrQLH39jn+OLE/bm2oGt672KqGVQ1vj6tqWNVwf7FVDasaPlRq+MAcKgPkAfcCm4DvAn7gL8A9wFUq9v6Nnen5H4ixD8ScDubYmZ7/gRj7QMzpYI6d6fkfiLEPxJwO5tiZnn+mxFZnTlUURVEURVGUDHBAziqjKIqiKIqiKMpHqY67oiiKoiiKomQA1XFXFEVRFEVRlAygOu6KoiiKoiiKkgFUx11RFEVRFEVRMoDquCuKoiiKoihKBlAdd0VRFEVRFEXJAKrjriiKoiiKogwrIcS1QohlvctOIcQ2IcQ5Q3A/Tw7n9vvKMZx3riiKoiiKoii91gkhjgaKgLcBhBBVwDcBQfrMo3OB7wHZwHIp5Z+EEG8A/wRmAt+SUjb0buvruy5QKIS4DRgHfB34HPCklHKVEOJxKeXlQoiVwIPA4cD1wBHAjcCG/uL2zQFwAj8FWoB/AT3AtaT73m9LKR/dmydI7XFXFEVRFEVRDgRPAhcBpwPzem+7GYgD7f/frv2zZBWGcRz/XilGL6DBF9AY5Ctobw0cm1xCWgzaAhGJ/pAgitSaQ3tvoMU9aHBuCFIEHUQkTH8N5wRPD+f4uOmB72e5z3Cdi+vc0+++OcB9IDTh9xCYb2uOk6wBn4GHI/26as+TvATeAU965viZ5D3N4eEB8BRYAD5c0nd8hkVgJcnzJDvAEnAEHABzV9+S/3njLkmSpJvgtF33gIv2+RawneQ7QFU9BnaTfKqqr23NSbueAbdH+j3qqM3IGuA3MF1VBdzp6XcB/Glr+/qOv1Mj3wAwA6wnObrSTvQwuEuSJOmmeEETqP/dhm8Cr6rqF3AMbAOvq2oWmJrQ61tH7XRVrQL3aG7B7wLPgF2asN3lI/CW5kDR13fcFrDczv0FeANsVNU+8CPJxoTZO1WSyVWSJEmSrpX/uEuSJEkDYHCXJEmSBsDgLkmSJA2AwV2SJEkaAIO7JEmSNAAGd0mSJGkADO6SJEnSAPwFu69s6Qxy60IAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 864x360 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "# save only for dt = 0.1\n", "files_ts_dt = [folder + 'timeseries_Langevin_linear_dt%d.csv' %\n", " i for i in range(1, 5)]\n", "\n", "skips = [199, 99, 19, 9]\n", "\n", "labels = ['$\\delta t$ = 0.0005', '$\\delta t$ = 0.001',\n", " '$\\delta t$ = 0.005', '$\\delta t$ = 0.01']\n", "\n", "params = {}\n", "\n", "steadystate = np.logspace(-3, 2, N).reshape([N, 1])\n", "\n", "# no interaction\n", "omega = np.zeros([N, N])\n", "np.fill_diagonal(omega, -1)\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "\n", "params['initial_condition'] = np.copy(\n", " steadystate) * np.random.normal(1, 0.1, steadystate.shape)\n", "\n", "params['noise'] = 1e-1\n", "\n", "params['noise_linear'] = 1e-1\n", "params['noise_sqrt'] = 1e-2\n", "\n", "\n", "def create_new_files_Langevin_different_timesteps():\n", " for f, skip in zip(files_ts_dt, skips):\n", " if os.path.exists(f):\n", " os.remove(f)\n", "\n", " Timeseries(params, f=f, noise_implementation=NOISE.LANGEVIN_LINEAR,\n", " dt=0.1/(skip + 1), tskip=skip, T=100.0)\n", "\n", "\n", "if new:\n", " create_new_files_Langevin_different_timesteps()\n", "\n", "ts_plot = PlotTimeseriesComparison(files_ts_dt, titles, composition=['ts', 'disdx'])\n", "ts_plot.axes['disdx'][0].set_ylim([5e-3, 5e-1])\n", "for ax in ts_plot.axes['disdx']:\n", " ax.set_xlim([1e-4, 1e3])\n", " \n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:36:28.313495Z", "start_time": "2020-02-19T08:36:27.648163Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/Documents/VUB DO1/Code/logistic_models/noise_properties_plotting.py:504: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " self.background = self.ax.imshow(x, cmap=noise_cmap_ww, vmin=noise_lim[0], vmax=noise_lim[1], extent=(0, 200, -3, 0.9),\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x252 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_noise_dt = [folder + 'noise_abundance_Langevin_dt%d.csv' % i for i in range(1,5)]\n", "\n", "dt = ['0.0005', '0.001', '0.005', '0.01']\n", "\n", "def mean_noise_color_abundance():\n", " noise_colors = [pd.DataFrame() for i in range(len(files_noise_dt))]\n", " \n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " \n", " for noise_colors_i in noise_colors:\n", " noise_colors_i['steady state'] = steadystate.flatten()\n", " \n", " for i in range(1, 21):\n", " create_new_files_Langevin_different_timesteps()\n", "\n", " for j, f in enumerate(files_ts_dt):\n", " x = pd.read_csv(f, index_col=1)\n", " ns = noise_slope(x)\n", " noise_colors[j]['ts %d slope' % i] = ns['slope_linear'].values\n", " noise_colors[j]['ts %d std' % i] = ns['std_slope_linear'].values\n", " \n", " for i, noise_colors_i in enumerate(noise_colors):\n", " noise_colors_i.to_csv(files_noise_dt[i][0])\n", "\n", "if new:\n", " mean_noise_color_abundance()\n", "\n", "PlotNoiseColorComparison(files_noise_dt[::-1], labels[::-1], legend_title='fundamental dt')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Different sampling rates" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:37:43.847610Z", "start_time": "2020-02-19T08:37:31.024789Z" } }, "outputs": [ { "data": { "image/png": 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AkGjZirtgDp6yJTizK9BWGjPaQqrrAP5JVxBvfAUr0YPDX0x4/xp8FStRDg+GNw8z0gyQ2T69NWA4cAWnEq1+CsOVTXDh34xEHCW/kl/Jr+RX8iv5lfxKfk99frWFJ7KH0N46Up370VYKK96JM2scjkA5ViqMt/wCtGUSOfhIZv27s3DlTkebSUI7f4GrcC7ecR8g1bEX5fTjKT2XdKgOK9GDlejGlT8TK9GDGW3FmTUOZ85EfN1v0PXaJhyeXLSZIB1uxOEvQptJDJcfKxnCSoZx+Itx+ApIhxtx5c8k3VNNvP4lHIFSrHgngVmfQKdjhHb/Gu/4ZTizJ+CrWEnrkzfgKVmMI1ACysA/6Qq8va/TvWUz2kyA4SJeV4l/8hXEG17ClTeTwMzriNX+GWW4UIYLZ3Ay2kwSq/0z6VAtOWffghlrw4p3YqUiKIeXdG81ynCRDtXgKf8AZriB3l2/JH/pv6HcOZQc/Ant1nL8kz5Eqrca5fDi8BcTr9uAu/BstDbBShOreQ5P+QV4xy0j1XmARNNmPKWL0WYSM9KEI2scyuFFm3EMdza9O3+Bt3wphicXnY7hCJThypuOttIEOv5MaE8NyuEm3rQZh78EK9ZOovl1vOM+gHJ68U34IFpb6FSEVOd+PGVLSPfWkGjdjitnIqmug7iLF2AlejEjjWitcfgKcGaPJ3r4CVwFs3EXzSfVsRcr0Y1v4mWM9CN9RvWezeGYPn26XrlyJatXr+6/Vh2gZ8f/0rTl5xRNvwRX/mycwUmE9z+Iw1eIM2cioEh17EWbCQIzP45OhYnWPIdSTnQ6QnDR19BWip43/gd3/mzcxecQ2nMvruBUtJlEpyI4AsWgnEQOPIgjqwJXcDINze1MWXAFZrwLhzcv84HnLyJe/yIYbnwTP0i8/iVcwSmYiS4c3nysRA/p3lqy5txIomkzzuBUEi1bMdzZeMuXkg41YCU6iTduIrjoa6S6DmJ4cjHDjcRqnqa9vYPiitm48mbg8BVhRltQhgPlziHdW4MZrke5skn3VBGreRb/1Ctx5U4HNMrhQZsJUt2H8U9ZTWjvb8iaeT3pnsOZHc/px5lVjrZSeIoWEK15FsPl560Wg5kT8wjtvpfAtKtw5kwk8tZj+Keswow0ke6txpkzAU/ZUuINL5FozOxknrILiNX+GTNch6fsAlKd+8Bwoc0kDm8B7qJ5RA+vw128AEegDJ2Oke45QuTQ4/S451BeMY1EyzYCMz6Gw19EsnMf3tLzSXUfQlspooceJ9G8BU/JuZiJLnQqQva8W/EUzSfZvhtXwVl0VH4Vd/4c/FNXg3KQ7jlMsn03/kmXkw7VEj3yFPkX/geJ5tdxBEp5o2s2K1asOG7+lFLDuudC8iv5lfxKfiW/kl/Jr+R3pPIb2vMb6jf9mKKpF+ItvwDDk0u06gmc2RVgOHH4ikk0vYqV6ME3+XIc3gLMaCvR6qcx3NkEz/kq6XAjsepncOVOzSxnbzWOQCmGN5/wnt/gKT0PZ+5Uki1vgFIoh4fa5l6mzbuIeP1LeMqWoAwXVqKbZNsOHIFS3EULSDS9iitvBmasA7SVOakS7yD77FvRqTBmtA0z0ghovOMvItX1FmasndiRJ8k66zM4sydixdtJtu8h3vAybVE/k+ZfnjkB4M4h2bkPbaXwli0lHaojtOfXeIrmo80EyunPtNXpw+EvIbz3PnwVKzH8xTi8+WgrhVIOUAaOrHLMcCPaSgMaV+40otVPoww3+2Jns2CKj0Tz6xiuAIYnSLJtJ76Jl5Hurc7Mx+nHV7GSWO3zRN56FE/JInwTLia0614MTw6+SR/CineS7NiL4S1AKYN0uIFU5z6Ci76GlYpgRptJdb2F4fTR0NxBxeSZpHur+078vI4rbwbuwrkkW99AmykSrdvAMnHmTMCRNY5o1RN4Shbjm/BBUl37cfiKiDdtRhlu3CULUYaLWPXTJDv24S3/AIavgFjNc3jLl+IMTsGVO4XXDquRze9gr7sdKz8numY9tG+NfvHZR094rfGpMtav5bYs67TXHClnyjXrWvI75JqS35GtK/k9vTUlvyNbV/J7emtKfke27inL7977Jb9S85TXHUp+R+Uy2pEQDAa555573jU8a9b1WM2Vp79BY5xSarSbIN5B8js4kt+xRfI7OJLfsUXyOziS37HlhPmdfQNWS+Xpb5AQAxiVBwSNhJ6eHm699VbWr5fnCQn7kfwKO5P8CjuT/Ao7k/wKuznjejaFsAPJr7Azya+wM8mvsDPJr7Ab6dkUYhRIfoWdSX6FnUl+hZ1JfoXdSM+mEKNA8ivsTPIr7EzyK+xM8ivsZlg9m0qpUTtYlTM7ws4kv8LOJL/CziS/ws4kv8JuhnywqJT6N2AycKNS6oda69tHrlkDkzM7ws4kv8LOJL/CziS/ws4kv8JuhtMzmQ0c7HudGoG29FNKLQcuABq11r8byXkLIYQQQgghhDj1hnOwqYEypdQqoHQwEyqlpgB3AEGt9bVKqQBwN5AEKoFxWuu7lFL/OIz2CSGEEEIIIYQYJcO5Z/NbwJtABfDlwUyota7SWt/8jkFXA2u11rcAVw6jTUIIIYQQQgghxgCltR7ahEp9Wmt9X9/r67XWDw5hHmv7eja/ATyltd6hlFoD/BxYCjSc6DLa0tJSHQwG+39ftWoVq1evBiAcDpOVlTX4hRoGqXlm1Ryo7sqVK7dprRcPdd6SX6k5mnUlv1JzLNccqK7kV2qO5ZoD1ZX8Ss2xXHOgukPKr9Z6SD/A997x+jtDnMfavn8/Bazqe/3QyUw7bdo0fcstt+h169bpY23YsOFdw041qXlm1RyoLrBVD3Hf0ZJfqTnKdSW/UnMs1xyoruRXao7lmgPVlfxKzbFcc6C6Q8nvcO7ZzFFK3Uzm3s38wUyolCoA/gNY2Ner+WPgp0qpDwPyLGchhBBCCCGEsLnhHGx+CbjsHa9Pmta6A7jtmME3DaMtQgghhBBCCCHGkOE8IGgl8BHg48AvR6Y5QgghhBBCCCHOBMPp2bwK+Doj/B2b4tTRWqOUGu1mCDEkkl9hZ5JfYWeSX2Fnkt/RNZyezQbABzj6fk6rYDDIPffc0/8EruHSWvNycxUHe9o41NtOLD30Y+g9Xc2kLfOoYdWhThJm+oTTpC2Th6t20JuMc+/BLVzx7C/pScbeNV40nTzpdpiWhdaazkSUrPu+QflD/8LP92/qfz9lme9q53tJWyZdZoJQKj6s9XOqJMw0lraAzPY8EuoY5RadmOR3YJJfye9QSH5Hh+RX8vteJL8j51Tk983ORra111Mb7hqReb5TQ6SH1HtkpSsR5ddvbaEq1MF3d77AtS/89rj5bY72Drp2daiT/3zzeSb+/t+Pyi9A0ky/5371TinLpMdMkrJMIqnEoNtxqkXTyUHt36fbcHo2ZwB3AYrMQ4I+NyItOkk9PT3ceuutrF69+qgd7tHqXTjMJJtaqpmQlQtAgSeAoRR/qtuHQyk+MnEuSTONpTVep4vX2mrY2lbH7w5voyKQy6M1u5ibW8qnpy3mkeo3uX7KQr4yZxlKKX53aBuGUtww9Zz+ms83HuRAvIulZpon6/dzzQu/4YuzlrKwYBw/27eJi8qm8tO9G/n2wg9x+1nL8TpdAHQnYjREe+hOxvhj7W4eq9nN119fR2O0l28vvIyvb1nPvPwypmYXsrOrkV1dzWxoOsQ/LbiURQXj++tnHg4FltZYaFyGg4erdvCPW5/A1BYuw8Hfzb2IQk+AXx7YzH2HtlLqy+GPtbsp8gYo9AT48pwLuXbSPIq8WaQtk+cb36LEl83cvFJu27SWubmlVDYf5pm6/aTufw6nMvinBZdSH+nh7+ZexIxg0bC3acoyMVBoNE7D0b9sVcleLuo7KxVKxflD9S4KvQGerNtHTypOmS+bcwrG86mX1vDJKedwTsE4mmK9/PfuF3EbDqZkF3Be0QSKvAG+NncFr7XVkrJMZucWMzmrAJ/Txe8ObSOcTvDXrz7KooLxPHXZLcNenvci+ZX8Sn4lv5Jfya/kV/I7WCfK72M1uzDMJE/W7WNZ6WQMFLWRbgo8ft7sbGJBQTlF3qy+EwUWPqeL7kSMtTU7+f6uDSzIH8eBnlbyPX5unLaIA92tzM4t4Yap5+BQBpXNh7G05pLy6f01N7fWUJsME0+nWFe3h29vf4aVZdP4QPFkfrT3JVaUTuNXB1/j1pkX8J+L/woAS1s8cHg7prZYWjyJu/e9wqbWaj6/8fdcN3kBiwrGc+OLa/hwxWxmBotpivby+yNvsrmtmu+fdyWTs078TFJLW+zoaOSGFx/AUIr9Pa0sL5nCkuKJ3HtwC3+q24fH4WRrex2W1rgNB187ewUXFk9mbl4pSimeqt/Hwvxx5Lp9/PbQVgIuN/cf2sbrzdVkr91CRSCXD1fMpjeZ4MoJZ7GkeOKwtqelLUKpBNkuDwCGyvQDvp3fRak42S4vR0Id/LnpEAUeP/WRbja11lDmy+ajE8/mC5seId+d2W7VoU7uO7yNeXll1Ea6uKB4EqZl8e2FH+LVthpqwp1cXDadSVl5FPuy+dXB18h1+/jerg2U+XP4n/M/MqzlOZ4hf88mgFKqCPADWmtdO2KtOgmLFy/WW7dufdfwJ+r28ukX7mdB8XgO9XaQtNLkuf2EUgnm5ZfxTMMBVpROpTMRJa0tPjnlHH609yUuKJ7E3RdcQ5k/B601j9XspiXWS7Evm98eep0D3W0E3V7yPX62dzTw/fOupMyfze2v/ZG93S0AlPqycSqDP1/xRdbV7mZzWy13zP8gT9bt4/Lxs/jiprUc6m3nrLxSDva0MTW7AL/TzUstVXx59ge4a/GH+z8k05bJj/e+zMGedv5Yu5vziyZy0/RzWVBQzn2HtvJM/QFqu9oYn1dIVaiDfI+fcCpJQ7SHMl8O03IKWH/pzXgdLlzGXzqeo+kkj9fspsSXTYHHz7ScQvZ1t/CdnS/wdMN+5ueVocmc5XMogx2djdw26wKaor1cOm4Gs5qTVJwzl3W1e9jcVkOZL4dHa3bxzfmXcEHxJObnlwOZD/4NTYcAuGzcTOoj3Vz1/K/ZvPor/cv4tgM9rVz+zD00xUIEXV7aExE+NG4mABtbjhBJJwk43Xz1rOU8cHgb8/LLMbXFpKx8bpy6iN8d2spzjQf50ZKP8u03niaaTvHJqeewsGAcXYkYs3OL2dhyhI0tR6gKddAWDxNOJWlPRPA6nJT6spkRLMZjOPn7s1dQF+lma3sdq6I5rFix4rj5U0oN63uyJL+SX8mv5FfyK/mV/Ep+RzK/t1Y+SK9Ok7DSjPMHaY2HyXF5mJtbSm/fAU1TLNNDuKpiDk/X72dJ8SS+Me9iJmcXAJmTLts76pmcXcDGlioeqX6TfLefuXlldCWjVARyuXP+pdx/eBvf310JQGHfSZnNq7/Ci81VvNJyhNtmLeUP1Tv50uylfO7lh2mOhWiJhchyeZgZLCKcSvByyxG+MPMCfnj+R+hKRCnt24ceqX6T5xvf4s+NB7lx6iKuGD+bMn829x7cwtMN+2no7uSj0xZQE+miNRam1JfDzq5GasJdLMgv55GLP0OhJ0CO29t/CW1vMs4fa/cwP7+MLJeHSVl5HOhp48Gq7fzq4GtE0yk+WD6dV1tryHV72dfTylfPWs6uriY+NXUxJXXdBOZMoSsZ4zdvvc6igvE8VLWdm2acx5Kiif0Hnb3JOBtbjhB0e1laPInORJSnGvZz3eQFR+1PAC81H+aWjY/QnogwLaeAre31XDNpHk3RXsKpBG91t+J1ufn8jPN5uuEAN049h85EjK5klBunLmJnZyN/vfkxnr/8Nv5Ut5fKpsOsmjCHVRVz2N/TypKiibzUXMWjNTvRGl5vr2VxYQX7e1qpCXexvGQKScukJRbi/otu4K3edra21/HReO6I5nfIB5tKqe8BS4C3gOla62VDmtEQTZ8+Xa9cufJdZ3YAHnruSa774BUopdjUUs2CgnL8TjeQ6TY/2NvGOH8QDTxctZ2FBePf88xE2jKpjXTjMZyMCwTpTsS4842n+M1br/PVs5bzrYWX8e0nH+S2Fauo6DsbeiLxdIoj4U4i6SSLCyv6zyoO5VryDW/IrXkAACAASURBVBs28HJuijl5JXQn40wM5FHkDQAwL7+s/+zIyUqYadbX7WFHRyN3zP8gaW1SF+lmTm5p/ziVlZXvCuB9h7by64Nb6EhEOBzqoNwfpKrvEpR5eWXkuL10xCOU+rLZ3d3MHy7+LGuq3uBQb2acLW21rPvg5yjxZbOrq4nziybQGO0lZqZYXjKFP1duYP4F5zHtke/w/fNWc8vMJYNeV8djaYuDPe1saq3mczPO6x+utSacTrDtlc2n7I+F5FfyO1ySX8kvSH6HQvIr+R2usZrf5za8wKUrLwagJtxJsTcbr8OJUgpLW+zrbqXMn0NvMs6LzYe5csJZ5Hn877mch3o7KPQGyPf4MS2LtdU7+eSL9/Pdxav4ylnLeGrDn1l24YXvOR+AWDrF6+21zMsrJ9fjQ2tNNJ0k0NejNxgvbNjAq3km04OFRNMpgm4v5xZW0JuKM84fJOj2DWp+CTPNKy1H2N3VzE0zzkWh2N3VfNS+fbz8PnD4DZ5tOEBNuJOkZZKyTEKpBGfnlWEoxR+qdzEzWMT8/HKeaTjAS3/1ZTY0HaI+0k1LPMwfqney9+p/oDcVpzkaYmXZNB6v3U3cTHP9lIVUVlay/KLlfO7lhzmvaAJfmv2B465XX98VDyfL0hadiRiGUuS/Y7tZ2iKSTo58fgf7xZxv/wD/Dfxb3+uvDXU+Q/1ZtGiRPpHT9SWovcnYaa/5TmOtZkc8omtCnTqRTmnTMvuH9yZjuiXaqxPplL573yu6ZM0/67/e9Af9x5rd+qHD23XSTA+55ql0Kr+UWfI79mpKfiW/gzHWakp+Jb+DMdZqSn7tld9QMn7aa77TWKtpWZbuikd1+B3rRWutj/R26OcaDui0aeof7KrUlz79c/2FjY/o31ft0A8c2qYjqcSQa55KI53f4dyzWQU4lFK/IvOgoPedbJd3tJswpuR7/EedIXlbtsvbv66+OGspX5y19HQ3TRyH5Pdokl97kfweTfJrL5Lfo0l+7SVrCL2RZzKlFLmedx8KTcrOZ1J25h7T2+dexO1zLzrdTRsThvw0Wq31/2qtf0zm609uGLkmnZy3b5Bev3796S4txLBJfoWdSX6FnUl+hZ1JfoXdDKlnUyn1CDCOzHdsJoEgcN57TjTC3n70sxB2JPkVdib5FXYm+RV2JvkVdjOknk2t9ceAF7TWF2mtLwXWjGyzQCm1XCn10EjPVwghhBBCCCHEqTecezanKaUuItOzOfu9RlRKTQHuAIJa62uVUgHg7r5pK7XWDxw7jdb6JaWUXJwvhBBCCCGEEDY0nIPNvwGu63t9x3uNqLWuAm5WSq3tG3Q1sFZrvV4p9bBSKgJc1ffes1rrEe8pFUIIIYQQQghx+gznezbnAqsAD6C11v96EtOs7evZ/AbwlNZ6h1Jqjdb6k8cZdz7wn8BPtNZPH/t+Xl6e1loTCATIyspi1apV/d83FA6HycrKGtJyDZXUPLNqDlR35cqVw/qeLMmv1BzNupJfqTmWaw5UV/IrNcdyzYHqSn6l5liuOVDdIeV3sN+V8vYPcC8wF5gJzDzJadb2/fspYFXf64eGUn/atGn6lltu0evWrRvU98OcKlLzzKo5UF2G+T1Zkl+pOZp1Jb9ScyzXHKiu5FdqjuWaA9WV/ErNsVxzoLpDye9wLqPdrbXefTIjKqUKgP8AFvb1av4Y+KlS6sOAPLtZCCGEEEIIIc4wwznYXKmUWgEkyFxG+/ETjai17gBuO2bwTcOoLYQQQgghhBBiDBvywabWevVINmSw5HuGhJ1JfoWdSX6FnUl+hZ1JfoXdDOl7NgGUUg8qpdYopdYppXaMZKNORk9PD7feeivr18tVuMJ+JL/CziS/ws4kv8LOJL/CbobTs3n926+VUl8dmeYIIYQQQgghhDgTDPlgUyn1pb6XLmDIj3AeKrmMQNiZ5FfYmeRX2JnkV9iZ5FfYzZAvowX2ALuBzcAtI9OckyeXEbw/aa3p3vhb4rU70ZZFsuUwHU//cLSbNWiS3/cnya+wM8mvsDPJr7C70Pb1JBr2oi2TdE8LsarXR7tJJ2U4T6N1ArcCFvB/wJ9HpEUnSc7sjC5tprGSMVJtVZiRLjqf/wmBWSvQ6ST5l/8dSikAUl2NOIOlKOMv5zXMcCdmrAd30eQBa/S88jswxxN6Yx2eirPpff0P9LxyHzoVByAdbgdtAZr8D93eX3esk/yOLsnv8Eh+R5fkd3gkv6NL8js8kt/RpS0TKxYCNOneVkLb1+OduIBUew3BpTdiuDwAmNEeDF/OUblK97SQ6qzHN3nRe9dIJwm9+SSkPIS2r8ddOoNE/W7aHvsWiab9uPIrUA4nzoIJeMpmU3rD/4AyjtpXxpLhHGzeCFwPKOCXnOaDzffiOfwc4cIUgbM+aJsPj5GQbK3CivUSr98FZprsc69BpxI4c4r6x9HpFLGaN/BPPX9oRbRF98b7CG17lNiRraS7GnDmjSO49EZC29eR6qwnvOd5suf/FTqdpPOFn+Hw5WAlIqAMiq68k8Z7P49OxRl32xpylnyifxtprdHpJLHDr9G75fdE9v4ZM9JJQdoivORjtDz0NYxAPpO/tQXD7UVbFsowsJIxWtbczqGvTyHd20rJJ75H9jlXEdnzPMEl16PNFGakk2TbEQIzl2El47Q99i1cRZPJv/jYb+QZfZJfya/k134kv5JfO5P8niH5PVJJpNjCP3vl+yu/7TU4fDl0PPsjzFAbhavvwBksBaX+kpF0kujh1wjMXDa0Ilaank0P0L3xN0T2PI+reCrO7CKyF19Dw/9ehxHII7xjPcELbkBri9ZHvoEzpwTvpHOI7Hmeoqu+Tc+r9xN+80nGffFBcs77GMpw9M9ea0103wZ6Nj9EZN8LeEpnULzzKcIXf5HYY98CYNIdL2N4AiinOzONZdLws09y+JtnoZwecpd/jrwVtxLasZ6cRVejnC6SbUeIvbWJnPOvA6WouesSsuZdQeGH/3F4K30QhnSwqZTyA/XAOEADjSPZqJPx9mUEq1evZvXqv3wLS/TQq2Rt/w1dkX003PMpJv/Tq/1nwLTWJ9z5zFgvhifruGcFkq1VmbMITtepWZih0prooc0k6t4kevAVwrufwextxT9zOYYnQOvab5Luaabwqm9R/NFvYyVjNPziRiK7n8WKh5n4/zYQmL3i5EpZFqmOGvLW3UpXXhHBpTcy/iuPYcVDOHw5R40b2fsCNXddQu7ym5ny7deJvvUKsUOv4p+5nJ5N91N6w//gnbSYjqe+R+zwq5Rc/wPa/3QX7U98B52I4CqcSOmnf0bJ9f+N4fLw4jPrOPtDV5JsrcLhz8VwewH6t5Xh9lH22Z8DkOpuouWBr9L+xH/hm7SI5gf+FivajSNYguH04J28GDPSheHNpueV+1CGk9zln0MZBuE9z2N4s9HJ2Emvl6GS/CL5lfz2k/wOUEryO6Ikv0h+z8T8vrUJ/+6HaK1/DuVwUn7zvbhLpg44PzPcCcoAbeHIyj/qPSsZQ7m8Y/LANdXdRNcLP6f7xV/29Tb24J95Ef4ZF9Jw9yeIHnyZvEu+TNmnf4qViNK69pt0PvsjCj/yz2Sf8xF8k845qTo6ncQMd5Lz0ncIl40j59xrmfB3T2IlIjgCuQAUXPYVMJyE3nicpt9+Ef+MC5n8z6+R7mkmvOsZKr7yGO1PfAfflPMp//xvaHn4HwhtX0fpjT+m48nv0bvl96Taq/FMmE/Jx++i7KZfoJTixaceZc4VV5Nsr0EZDhyBvKPapgwH475wPxgGOhmj8de30v3Sr3AVTKThF5/CXTiJVHcj7qLJ9Gz5PYY3CyyLrg2/wEpEKPrIP6McTmLVb6CTUdzls3FmFYz4tlJa68FPpNSvyRxkArgBxzufTns6LF68WG/duvVdw3u3Pc7O6nY+8JHP0HTfl+h++ddgmTjzx6NTcbLOvoKym+5BOd1ED7xEomk/gVkrqPvRRzBD7Xgq5pF/2d+SqN+Fb9oFpLubaLzn0/hnXUTeytvwjJ+Ld/zcd9WtrKxkxYoVJ2yv1prY4ddQhgPflHOHtMxWKkGicS+xQ5tJNO6lbet6vIZFcMn1+GcuJ2ve5ViJKIbL03/Ww4z2cORfz8fhz8OMdpF19hWUfPIHtK69g97Na8i/9Cvkf+j2zGUlWqPcPqL7K9GWieEJ0Pv6WiJ7nifVXo0V6yV61sdY/A+/H1L737VO0imO/PtS4ke2knvRLRRc8TVSbUcIzL30qLM9A63b4823e+Nvyb3oZhJ1u1BOF8rlxZlTTKJhL2akk6yzP0S6t5Wm+76M4fZTeOWdHPmXc7HiYZw5xUz65sts2ld3wrpKqW1a6yE/GEvyK/l9r/lKfiW/kl/Jb/86lfy+e51Ift81vHfLI+xoMVm26joiu5+jZc3tuMfNIdVeQ6qzFu/4eUz4+tOgFNEDL5PqqMUz/izqfrCKdHcjRiCPsk/fTWjHeoLnfZxUdxPt6/4dZ04JBVd8Dc/4s/FWnP2uuiezjmM127FivfhnLh/Ugau2TLAsrESE6MGX0Waa8JtP0LbvNQLONMEln8Q37QICcy7BSkRQTnf/Zaxaa+p/cg2p9mq0ZZK9YDWFq79J75bf0/LwP5C38gsUffTboAx0IgJK0fH0D3GXzgAz04vfu/khnHnjiB95ncjc6zj37x866ba/FyuVoOHnNxDa+gdyl99M0dX/itnbimf8XJTjL/2Ag86vmabrxf8jb8WtmOF2Uu01KLcfT+l0YlVbSDQdIHf558Ayaf7d3xCreo2ym35J/U+vRTndaMuk/KZ7eL3VGNH8DvVg0wtcC6wGZgCf0lrvHvSM3rvGh8k85faw1vr+Y98/0c4GR2+cRPNBel75HY6sAnIWX03Hsz8msvtZzHA7nvI5uIom0/PqGsZ/+ff4Zy4n2XqI+h9dhW/aUpKth9CJKCXX/zftT34XwxMg1VpFcNlnyb/kSxieAJA5a7dx3e/4wBXX9g8zI10kmg7gn7YEbVm0/v4fidfuwAy14y6dQfnn70W5/f07XfTgRgx/Hp7SGf1nQBON+1FuH53P/ZjOp3+AM7cc78SFmNFu8i/5Enuq6lnysa/0n6k7kWTbEXQqgTZTR31Q9Lz6IG2PfYtky1sAOAL5OIOlOIIlJBr34pu0iNxlN+GpmIfhzcaZVcCLL29kxcqLT35DDkCnU+BwvueHz2B3tkHVN9OEdjxB57M/Iufca8m75EvEj2wldmQrOx2zT/sfC5D8Hkvy+x71Jb+S32GQ/L6b5Pdokt/3qD/G8xuv20XojccJzL4YV/EUul+6l56NvwXDwDvxHNxFU4gceJGSj9+Fb8p5hHc+Rdu6f8dbMR/ldJHuaaHoyjtpfexbWPEQ0f0vUvKJ75G7/GYMtw8cLsxIJ6+88irLL72i/yA/1dlA9K2NZM27ou/S1h/T88p9mftvHU7Kb/ktDn+wv82pjrpM76nLi8OXDUCi6QCG20/3K/fR8ae7cBVOJDB7JVYyTvaCD7N75w7Ou+72d/WMH0unk6R7W0k07CXr7Mv6h0f2vkDPpvuJ7K/EkVVAqqMW5XDhKZtFvHYHOed/Au+EBfimLUE53XhKZ4x4lrTWoPVRl/oe61TmF6B366N0Vf6SwJxLKPyrr5NsryG8fT07XXPHxMFmNXAn8CDwU631FwcYfwpwBxDUWl+rlAoAdwNJoFJr/cAJpssCvqS1/u6x753szjbSki2H6Kq8h/CuZ0jU7cQ39XwSTQewot3451yMu3ASVjLW94ehLbPTegIYngDln/81qbYqmtfcTmTXMyi3n+CS63EGS+ne+BtchZOIvfUKGA5Kb/gR7X/6L9Kd9bhLZ1Bx+xMoh/Oom+JHajlTnQ3Eql4jcNalpLsb8ZTNPOG4pzr4Y6XmQHVP1x+LkSb5lfyC5Ffye/IkvyNH8iv5BfvmN/TmU0R2PZ25v7a9msDZlxOv3krcW0T+xNkYbj/K6SZe/Qbx2h0YvhyyF30UK9bLuC8+iHI46Xz+p3T86S6c+RW48sbhKphA7+trceaUEK95A//sleQu/RQdT30f5fahkzEqbl+Pcrpx5Y8f8eVM97SQbDmEp+JssMx3Xab6TpLfjKHkd6gPCPoo8BngMqBUKeXRWidONLLWugq4WSm1tm/Q1cBarfV6pdTDSqkIcFXfe89qrdcopQzg74Ex9Vxqd8k0Sq77LnkrvoDWJjoZxzP+LF6srGRW0xO4CibgLp3OuFsyZ4+SrVVgpnCXzUIZBp7y2Uz42lPE+y4pSLZVYUV7mPIv23AGS+jd9njmXoE1t1Px1XU4s4tx5pWf0uvlXfnjcOVfDYDDd+I/FML+JL/CziS/ws4kv8LOsudfQfb8K8j74F9juDykupvwVsznpVc2UdZVCVqTNe8KPNf/AMObTaq9mmTLIQKzV/b3uBdc9rf4py3FSsVJd9ZjRjqZ8u2tOHNLCe98GnfJdFof+2fGfemh416yO9KcwRKcwZJTXuf9bkg9m/0TK+UhczntR7XW157E+Gv7eja/ATyltd6hlFqjtf7kccb9J6AIeFpr/eSx75eWlupg8C/d8KtWreq/UTocDpOVlTXk5RoKqXlm1Ryo7sqVK4d1ZlLyKzVHs67kV2qO5ZoD1ZX8Ss2xXHOgupJfqTmWaw5Ud0j51Vqfth8yvZkAnwJW9b1+aCjzKisr07NmzdJ33nmnPtaGDRveNexUk5pnVs2B6gJb9TD2Bcmv1BzNupJfqTmWaw5UV/IrNcdyzYHqSn6l5liuOVDdoeT3tHz7p1KqQCn1c2BhX6/mo8A1SqmfAeuHMs9AIMCyZcs477zzRrKpQpwWkl9hZ5JfYWeSX2Fnkl9hN0O9Z3NQtNYdwLHffnvTcOYZDAa55557hjMLIUaN5FfYmeRX2JnkV9iZ5FfYzWnp2TwV3v5S2/Xrh9QxKsSokvwKO5P8CjuT/Ao7k/wKu7HtwaYQQgghhBBCiLFLDjaFEEIIIYQQQoy403LP5qkg16wLO5P8CjuT/Ao7k/wKO5P8Cruxbc+mXLMu7EzyK+xM8ivsTPIr7EzyK+xGejaFGAWSX2Fnkl9hZ5JfYWeSX2E3tu3ZFEIIIYQQQggxdtn2YFMuIxB2JvkVdib5FXYm+RV2JvkVdiOX0QoxCiS/ws4kv8LOJL/CziS/wm7GbM+mUup8pdQ/KKU+O5jpUuEkaH3c9xIdUSJ1PegTvC/EaJP8CjuT/Ao7k/wKO0tHkmAdP5/paIp4e/Q0t0iIjNPSs6mUmgLcAQS11tcqpQLA3UASqNRaP3DsNFrr15RSHwVaB1Or/bUGfG9aNKlqQoe7MKMpyi+dQrQhROebzTgDLoKziii9aGL/NGbSxOF2HHd+oSNddGxrwnA5iLdHcWW5qbhyBk6fazDNEuKkSH6FnUl+hZ1JfoWddWxvxve6RbOzhnBNN4bTQd68YiI1PYRrekBB7uxCSi+a1D9NoiuGJ8933PlFm0J07WzFGXDR8UYTxRdUkD+/BOMEeRfiRE7LwabWugq4WSm1tm/Q1cBarfV6pdTDSqkIcFXfe89qrdf0Tff/lFJ/M5hapRdP4lBPNViaiVfPIt4WpWd/O4bLwZy/PR+A/XdvpWN7E8GZhTi8Tlo21lKybAJlKyb1z8dMpGnf0kjzi9X4x+fgynZTsmwCzS9W0/hcFeMvn5b545HtxpXtGdb6EeJtkl9hZ5JfYWeSX2FnJRdO4GDbYbSlqfir6ZgJk5aNtbiy3My8bRFYmoO/2k6kvhd/WTapcJKObU1MvGY2+fNKjppX66t1tG2uJ/esYhKdMSpWz6D99UbCtT1MumY2oaouPPk+3LneUVpaYSfqdF4SopRa29ez+Q3gKa31DqXUGq31J48z7pXAOUCT1voXx75fWlqqg8Fg/++rVq1i9erVAITDYbKysk7cEK1RMXB0aZQJllfhectCu0BZYAYV7trMegkvM9B+9ZdpLY13j8bVqLHcmUHJaQqjPo050YlKg6MbHB0aKwsSMw2sHHWcRnDUPDGOHsfZaGH5FVYQUMeffsDlPAXeLzUHqrty5cptWuvFQ5235Pf9kyXJ7zEkv0P2fqk5UF3JL0fNU/I7tmoOVHdU80smu0ZEox2ZvPp2WGgnqBSkCxWOiAYTklMNzPx35EdrPPs0zvbMtGhITjMwOxI48jKBdtVp6Ou4j88x0N4B8mtqcBw9jqNTow2wck887fslS2dKfkfrAUH1wHhgBye4b1RrvQ5Yd6IZZGdnc9FFF7F69er+nextlZWVrFixYlANSoUSpEJJPPk+eg93olMWeWcXoxzHad7FEG0MoRyKcHU34ZoeGqa0kt8awFvop+CyUhxeJz0HOmh7rZ6cGQWULp9IOppCORSdO1pIhRKY8TSpcJJEWxRPgY/pn1tI6HAXsZYw7fsbyJ6aj+60mHTtHFpfrSdvXjH+suxhLedwvV9qnuq6kt/3T5YkvwOT/J6c90vNU11X8vv+yZLkd2CpZQmSPQk8BT7CVd1oyyLv7JLjj7wyc3mtchgkOmKEDndSY9VTHM3FV5pFzlUFuIMeQoe7aN/aSGBikMJF5WjLIt4eJXSoi1RvAuU0SHRESXTGKDx3HKXLJxCq6ibRGaN9XyOBihwIwfjLp9N7qJP8ecU4A+5hLedwvV9qnoq6p+uezQLgP4CFfb2aPwZ+qpT6MDAmnt3syvb0X86Sd1bxgOP7yzMf2r6SLIrOH09NZRtzrjvvqHGyJuVSfukUWjfVUf/UIZwBFw6Pk5wZ+XjyfTQ+W8W4D03Fk+8jdKSb3d/bhDPLTelFEzn7Gxfi9Llo29LAzu9sJH9hKft+vIXCc8spu2Qy7qBcuiD+QvIr7EzyK+xM8ivs7J35zT2raMDx3z5p4SsOkDu7kMOVjcxYcc5R4/hKsyhaOp7WV+po29JAOprEVxSgYGHmZErzSzVMuX4u7nwfvQc62PPDzXgK/BQsLOWsr56PM+Cm881m9vzwVcpWTuLgr7YTnFFA0ZLxcumuDZ2uezY7gNuOGXzT6ag92pShKLlwAiUXTnjXe9M+M7//df68Etw5HvzjsjFcf7n5uui8cRQuKkM5DCZ8ZCYdbzRT/chegrMKcb9lURd5q/9+EHWCy2WEGCrJr7Azya+wM8mvsDOl1HGzCzD1xnn9r/MXlOLO9eItCRz18Kz8+aXkzc1cIVCyfCKd25upXruXrMm5ePdY1Pbsx1PgP2ENMXbY9ns2z0RZk3KPO/ztS3EcHifFF4zHcCqiTWEsP+RMy6N9ayM1a/dheBwYLgfuoIf8+aU4/H/ZvJHaXrRpkT0lb8Tam+yO0/JyDTnTCzIPQchyH3c8rfWAf8giDb2EDneRMy2f1k11FCwsJXtq/tHj1PXiLfZjuB1YCRPDZbzrMqV0NEU6msKT70NbGsM5Zr/d54wj+ZX82pnkV/JrZ5Jfya+dnUx+i5aMRzkNovW9pCoUOTMKadtcT6Ijhrc4QDqaJHykmyk3nI3D40T13cscaegl3hIhf0Fp/7DhMuNp2jbXE5gQfM/94qTyW99Lz4F2fKVZROp6yZ1dRNbE4FHjmEkTZSiUQ6HTFobLgZUysdJW/wF6sjuOM8s9JnMrB5s2VHjuOACqKjNPxMuamEv33jbQEK7tIZZI8+Z/voy30E+8NYLhdhCoyEEZ6v+zd99RclRn3se/tzqnyTkpjLJGQgkQGZFXIIMxYIJx2DWycVq/the8a3sXG+OwXmOzgG3ACQeMAZssopAECJCQUEY5jCbn0Lm7qu77Rw8oWNKANCOptc/nnD7TU7f6PrdHv5F0u6pukWiPUnRyBcphYJs2jQu24inwUXJa1YGvLyHzy9K7vj1zvnxak+5Pko6m2PbgGkKj8+lY3kTfg2sYceUEoo39JLvilM8ZSai2gM63m6n/+0ZyxhYw4sqJdL7dTNc7LbjzvXgKfFReMobWRTuJNobxlQbY+Nw2/JUhGp7dSrAml+rLx6MSmh0Pryeysxen34U710OyO046ksJwGjj8LoI1uVgJk/DOXsxICgDD4yBnTAFmLE3tJ6bi9Mty88cDya/kN5tJfiW/2UzyK/nNZkWzKmBWBTsWt5I3sYjgyFzC27pJh1Ok+1MEanLZePdy7LSN0+/E4XFiuB0oh0E6kqLk9GoMp4G2bJpe2oE7x5OZxB5kEmqnLfo2d+FwOzAimmRPHGUotv9pHaFRebQuqaf+bxspObOGZGeMVF+CopMryR1fSO+7Hez620YKppRQcXEtncua6FjeRH5dCaneBDVXTMjk/90OQmMKaHxmK+4CL4n2KMpQjL6uDtKa5oU76FnbDlrjDLiJt0ZwF/jev69q3uQSlEMR3tFDvCVCoDoHf1UOibYoVspi1DWT8Rb7j/Kf1L6ydrKZm5vL/ffff6yHcVxweJ0UzigHoHBm5uuIKyYAmV+UdDiFO9+LTtvsfnozve92kD+lhPrHN1EwtZRY3GTbg2sw3A4Mp4GvPIgZM1EGxJoj9G/ponBmOYn2KMFmm7WvvI6/Kmef03uiDX1s+fUqRl9fh7ckwI4/rSPeHsVb5Gfqt86i/Y0GNv7ibQJVOYy6to6ulc34yoOs/8kbVF5SS9XcsSiHQdWlY1FKYbgd1D++kY13L8ffZeOY7qTuG6fRv62beGuE2k+d9P6nRcmeOImOGMnOGKOuqyPeEiEdTuL0uzIXoXfG2PnXDVTPG4e36Nj+wr1H8ruH5Ffym80kv5LfbCb5lfxmM6fP9Q+LGVVcODrzREOqL4En34eVNNn+p3WEt/dQPmckDc9swVceItUTJ9WXJNUbx5XjxV8eJNkVw1sSoGNZE5GdvRTOLCfdn8S/1Wb90jcAqLl8PMWzqwBIdMTY9KsV1Fw+nqCRR+NzW+lY1kiiPUrd10/LXHv60zcJjspj3E0z6F7ThtdlsPYHr5E/tZRx82diOA3K54xE+MilgAAAIABJREFU2xqHx0nLKzvZ/MA7+LtsYjVhJnxhFsnOGL0bOxl304z3J8epvgTh7T0AVM0dS7wtgp20SIeTlJxejRVPs+tv7zL6+im4c47hbZa01ln5GDNmjL7pppv0U089pfe3aNGif9g23LKpZvubDXrLb1fpZE9ca621bVq6ZfFO3fZGg25YsFW3v9mgd/xlnd791Cbds6Fdp2OpfWralj1oDStt6Y63m3S0uf/9bam+hDYT6X33S5mH7KNvc6de/NwrH/Yt/oOO5Y36nf9apNf+6HXdvHCH1lrrSGOfjjb36/DOHr3uJ0v/4X0d6ucLrNCS32NSU/Ir+c3mmpJfyW8215T8Sn6zuWbnyma99cHVOt4W0Vpn8tv6Wr3uXNmsO5Y36ZZFO/WOh9fr3c9s0T0b2vfJ3KJFi7Rtf4D8pkzdtaZVh+t739+WCie1lbb23W+/7/eX6k/oJU+/8oFqHkrPhna96Vdv63fvXqYbntuqkz1xneiM6mhzv47s7tXb/7xWpyOpfV4z1PmVI5v/BxXPrnr/ExnInBNfds7If9jnYD7IOe+G08ic7rAX1wE+Vdl7MYMD9ZEzrhDdfOTn2BedXEnhjHK0rdn0ixV0LGsi3Z/MXCegwFPoZ8sD71A1d2xmye1hJvk9fJJfyW82k/xKfrOZ5Ffym80KZ5S/fyQfMvn9MAsMfZCFtAyXg4Kp+x5tPdA1yYNdW+kKebCD6ogX78qbVEzepGKslMWme5fTtqQeT7Efb5EfbdqEavPZ+vvVjPr45GE7ep+1k82+vj7mz59/wPsMCXEgymGgHDDxy5kl5vf/R69nXRs7Hl5P3oQiSs6sHtaxSH7FhyX5FdlM8iuymeRXZDuH28Gkf519wA98vCUBtv9xDQVTy8irG/z2Nx9W1k425ZMdcbgO9slq/pRSAtW5RHb10r+5a1jHIPkVh0vyK7KZ5FdkM8mvyGYHy2/exGKCI/PoXd9OvC065HWzdrIpxHBw53kpmFaW+WbxtmM7GCE+JMmvyGaSX5HNJL8imzl9rvdXq2bxxiHt+/i7GcsH9N5pBE8//fQ/tB1o23CTmidWzeGuK/mVmtlcV/IrNbO5ruRXamZzXcmv1My6uh92RaHj5TFz5syDrpQ0bty4g7YNF6l5YtUcrC5HuJqc5FdqHsu6kl+peTzXHKyu5FdqHs81B6sr+ZWax3PNweoeTn6z9simEEIIIYQQQojjl8pMUrOPUqoDqD9IcxHQeRSHIzVPvJqD1R2htT7sJbskv1LzGNeV/ErN47nmYHUlv1LzeK45WF3Jr9Q8nmsOVvdD5zdrJ5tCCCGEEEIIIY5fchqtEEIIIYQQQoghd0Ld+kQpFQB+AaSAxVrrPw9jrSuAS4ES4F5gCjAKcAGf18N0yHjgPb4K/BcwfrhrKqUM4HYgB1gBpIE5gAe4WWs95DfkUUrVAPeQOYS/Bdg9nDWVUqOBbwG5WuurlFLX711vYLdhz5XkV/J7mPUkv5Lfoawp+ZX8DlU9yW+G5Hdo6kp+szS/J9RptEqpG4FerfXTSqm/aq0/fhRq5gN3Am6t9Q1KqS8Ba7TWrw1Tve8BUWAj8PHhrqmU+ihwOdANPEvml/pqpdRlQL7W+o/DUPMCoFZrfZ9S6g+Ab7hrDtR9bOCX7dG96w00D3uuJL+S3yOsK/mV/A5FTcmv5Heo6kl+MyS/Q1NP8pul+T3RTqOtAhoGnltHqea3gV8DHQPf1w+MY8gNhPBdoA3IPRo1yXx69KbW+mtkPuV479OJ4ay5CrhWKfUKsOgo1dzb/vWOVq4kv0NP8iv5HRKSX8nvMJD8Dj3Jr+R3qEh+hyhXJ9pks5E9fxjD+t5Uxo+B54C3yazcBFAzMI7hMAeYDVw/8Cg5CjUbgZ6B53sHbThrfgb4L631eWRO1TgaNQ/kvXpHK1eS36En+ZX8DhXJr+R3SEh+Jb/DQPI79CS/Q5SrE+002gCZc50TwOvDfM76V4BPkflFWw34gRHsOa962H6wSqlPkzmfe9xw11RK+YG7gRiwicwv3lmAD/jiMJ2zXgfcRuY9RoB3hrOmUqoQuAO4kMyndPV71xvYbdhzJfmV/B5mPcmv5Hcoa0p+Jb9DVUvymyH5Hbran0byO5T1jkp+T6jJphBCCCGEEEKI48OJdhqtEEIIIYQQQojjgEw2hRBCCCGEEEIMOZlsCiGEEEIIIYQYcjLZFEIIIYQQQggx5JzHegBCCCGEEEIIIYaHUsoH/AyoAPKBjcBmrfVPh722rEYrhBBCCCGEECc2pdS5QB3wDPAlMrc2+T2wnMwtT1qAU4Fvkrnty9cBBWzXWv/8cGrKkU0hhBBCCCGE+L9pi9b6FqXU48C3gMXAJUAZEB94TDnczmWyKYQQQgghhBD/N/UPfE1qrfuVUinAQ2Ztnz9qrdceSecy2RRCCCGEEEIIsbd7gB8opVqAsNb6u4fTiVyzKYQQQgghhBBiyMmtT4QQQgghhBBCDDmZbAohhBBCCCGEGHIy2RRCCCGEEEIIMeRksimEEEIIIYQQYsjJZFMIIYQQQgghxJCTyaYQQgghhBBCiCEnk00hhBBCCCGEEENOJptCCCGEEEIIIYacTDaFEEIIIYQQQgw5mWwKIYQQQgghhBhyMtkUQgghhBBCCDHkZLIphBBCCCGEEGLIyWRTCCGEEEIIIcSQk8mmEEIIIYQQQoghJ5NNIYQQQgghhBBDTiabQgghhBBCCCGGnEw2hRBCCCGEEEIMOZlsCiGEEEIIIYQYcjLZFEIIIYQQQggx5GSyKYQQQgghhBBiyMlkUwghhBBCCCHEkJPJphBCCCGEEEKIISeTTSGEEEIIIYQQQ04mm0IIIYQQQgghhpxMNoUQQgghhBBCDDmZbAohhBBCCCGEGHIy2RRCCCGEEEIIMeRksimEEEIIIYQQYsjJZFMIIYQQQgghxJCTyaYQQgghhBBCiCEnk00hhBBCCCGEEEPOeawHcLgCgYD2+/3k5eWRm5s7ZP1Go1ECgcCQ9Sd9n5h9r1y5slNrXXy4r5f8St/Hsm/Jr/SdzX1LfqXvbO5b8it9Z3Pfh5VfrXVWPsaNG6eHw6JFi4alX+n7xOobWKElv9J3lvYt+ZW+s7lvya/0nc19S36l72zu+3DyK6fRCiGEEEIIIYQYcjLZFEIIIYQQQggx5LJ2shmJRJg/fz5PP/30sR6KEB+a5FdkM8mvyGaSX5HNJL8i22TtAkHBYJD777//WA9DiMMi+RXZTPIrspnkV2Qzya/INod9ZFMpVTrw9RylVO3QDUkIIYQQQgghRLY7ktNov6aUGgNcA9w2NMMRQgghhBBCCHEiOJLJZjlwI/AzoHVohvPByTnrIptJfkU2k/yKbCb5FdlM8iuyzZFcs/kboERrvU0p9dZQDeiDknPWRTaT/IpsJvkV2UzyK7KZ5Fdkm0Me2RzkuswztNaPDjyfOhyDE0IIIYQQQgiRnQY7svk1pdQDZK7LzCFz2ixKqUeBSUqpaQP7pYdviEIIIYQQQgghss1gk829r8v83HsbtdZXK6XO0FovHc7BCSGEEEIIIYTIToNNNn8DFB/kusyxSqkvAApAa339cAxQCCGEEEIIIUT2GWyymQA+opSaB/xyv7bxWusbhmdYQgghhBBCCCGy2WC3PrkZ+CwwH7hpvzaXUupkpdQkpdSkYRndIcjSzyKbSX5FNpP8imwm+RXZTPIrss0HufWJHnio/baHgbl77fO9IRzXoGTpZ5HNJL8im0l+RTaT/IpsJvkV2WawyeYvgd8NPL/nvY1KqVHAo+yZgOqhH5oQQgghhBBCiGx10MnmwIQyDPxwYNPeE8qLgLL9th3VI5tCCCGEEEIIIY5fhzqyeRFQyr5HL78HoLW+TylVAFw3sP3h4RykEEIIIYQQQojsctAFgrTW9wHbtNbf1Vp/F6jfb5efAWuBdQPPhRBCCCGEEEII4NCn0X4R+CelVB6Zo5vnAw/utUtYa/3awL5XDesohRBCCCGEEEJklUOdRrseyBv4agOP7de+Vin1GJnTaBcOz/CEEEIIIYQQQmSjg042tdZLlFKNwEcBP3Aeey0CpLW+Xym1NvNULxvqgSmlzga+oLW+dqj7FkIIIYQQQggxvA56zeaAbwMjgcVA/t4NSql7gFOBs5VSvzlUJ0qp0Uqp3wwcCUUpFVBKPaiUekApdcOBXqO1fhVY/YHehRBCCCGEEEKI48pg99lsBVzAUuDi/do2a63vBlBKff9QnWitdwD/8t5kE7gSeExr/bRS6q9KqShwxUDbi1rrhz7MmxBCCCGEEEIIcXxRWuuDNyp1OpACbgWWaK3v2avtdeBdMhPWccAbWutbDllMqce01lcppf4deE5rvVop9ZDW+voD7HsS8APgbq318/u3l5SU6Pz8PQdbL7vsMubNm3fod/sBRCIRgsHgEfcjfZ/Yfc+ZM2el1nrW4b5e8it9H8u+Jb/Sdzb3LfmVvrO5b8mv9J3NfR9WfrXWB3yQWYH2K4doH7H/42D77vWaxwa+3ghcNvD84cFed6DHuHHj9HBYtGjRsPQrfZ9YfQMr9GHkVkt+pe/joG/Jr/SdzX1LfqXvbO5b8it9Z3Pfh5PfQ91nUwMnK6WuU0rNVUrN3a+9fv/HwfpSShUqpX4FTB84qvl34GNKqV8CT3+o2fGASCTC/Pnzefrpw3q5EMeU5FdkM8mvyGaSX5HNJL8i2wx2zebLgBsoPpIiWusu4PP7bf7MkfQZDAa5//77j6QLIY4Zya/IZpJfkc0kvyKbSX5FtjnkarRa6wf3fuzdppS6UCn1HwPPj/rtSeSTHZHNJL8im0l+RTaT/IpsJvkV2WawI5uH8jGgeeD5LODhIx/OByef7IhsJvkV2UzyK7KZ5FdkM8mvyDaD3WcTpVSpUqpGKVWzX1N8oN0ACodjcIcin+yIbCb5FdlM8iuymeRXZDPJr8g2hzyyqZT6LdAFmIAG/mOv5meBrwBPAv87XAM8GPlkR2Qzya/IZpJfkc0kvyKbSX5FthnsNNr1Wus7D9K2GOgEPGQmokIIIYQQQojjVN9rC+l7+Vm8YydQfO0/o22bdHffkPRtRqLovnaUlUYXV2BbFm7/we/3qG0bZWROstRag7ZRhuOA+9rJJNG3X0e53QRmnX7Q/fYXjydImyYBvw+H49Cv0ZaJ1deNI7cA5TiSKw3F3gb7SV6ulKoFogBa61v2ansEWA6kyUw2lw/LCA/ivdMI5s2bNyQ3sxXiaJL8imwm+RXZTPIrstmR5DexYyvtv/5fdCpJctd20uEUm+98GCsaJfmdL7D1hWconHsZwZE1YGtcNaNRSqG1Jvnqk5gb30a7vESTbppiId4Y9Sm0hnN6/45a9Bq6o4WRc8ejK0aQnHgytmUTe3khqcrRRJa+hH/G6exas5uG/70bu7Ge9JZ6/CNHMfMPP2L1u710WblMYzXFNaU4p5yBuX0D0eYmmnd04H77BZzKxlOYR2r9W7Sd/69saXdg9CXof/SXOO0ojuqxmCUTMTe+hdtt0l8+ia5ei8h99xHIcVJz2YX4Zp6JkV9EsrcT29aktu9COVwEJ4yl+xe3Y9sWjpGjyfmno7726QlrsMnmJ9lz1FLt17ZBa/2joR/SByOnEYhsJvkV2UzyK7KZ5FdksyPJb7qjFd47kphK0vS3F0n39AIaw9BEV67C3LyeWEUIDAf+U8+h4IabsZt3kt74Nsq2sPq6Se9o4vXZvyStfKDglbyrmbr4Tmb8v3NxuJ20NfbR+b9fQ9s2roAb65ob2Pmj39JdMhFrzRpc6Sj+skLG3XYFTo+T+KpXCLhrmRRbilFVTcpKkHz0LoxYGLOtl+hrm/HXhMibOAq310UklWRTo4mxZQ0u1UrPqqXEmtrx5L9B7qgKrEA+W1/fje+ztfTf+SMCXhuvP8SK13YTeObnjL7xfNSW9ez8/RMke1MkulIUTamgZFYNnsuuAodBrHELdiJO/Y4euts6KbA7qZg0BsMXIr59G+6CPFxllSi1//RI7G+wyeZU4EbABv4C1O/VllZKvQR0AGitrx+WEQohhBBCCCGOiH/KDOJjZ9M88xqciTBFCx9BbdhN7cVj2BnyUH1GLfGOnszOtkXszVfIv/7zRKNxUAYKCzMSo3tbO/q0PWuMahTF0wsxo3EMl4OOR58B2wYgHU4AYKXTtOZOoNRegQJGzqnD5XOj/AF8Tpsx9ma014XtC4BSGPEIyjBIRRNQMwYrx8LtdQEQaeqFOo3z5SfhgtHEWzrx5gfwFQTA6WDdT54i2WOSP2ICdm8vvskVdDf0EZ80ibqSHpzRXnreWUcqkqJvcxjD58BXnEvKGcIRTVJ/98PY8T4S13yMZqOeKdGlOMwEkc2vUP/Ea5SMKQClcNdOpPDz//H+qcAAWttk1k4V7xnspzFPa32N1vpa4JL92sq01hdqra8/FhNNWY1LZDPJr8hmkl+RzSS/IpsdSX61x8/ui79OqrCGWOUk+j51C6EJo8gbXYgyFIbTgXLsNTVwOlFKEcmrJF40Cg1ofxAMxbgFt2Ok4ygzxelND+H2O+neuItUX5h9lnJRCpTCm59DfriensKxpJ0+bD1wnabDgVIqM2HTFprM/loZaK0JVhYSsnvpvPo/0IYTDTi7W/A+/2fsMRMx42m01jg9LpRSmL19mHETnTLpvvsP6KJqou39ZI6bgRVLolJxnAEvVtIGpQiNKKLi4lm0LNxAx4LXSRdX4DL7UR43pendONNxrGiUntYYuaUBlKHoXN/Bym/+hVfPvJoNDz7MWxfNpeexXxFb+BBdf7qbviUvoU3zSP6oTxiDHdn07XXLk8B+bX6l1LVAP4DWesFQD+5Q5DQYkc0kvyKbSX5FNpP8imx2JPk1bdhzVZwi5Qow/affJvrX/wUNtm3j9PtIR2Mow0HuFTcAkBP0UT9tLtq6CGXZFFv3Yr7wBoV3X0DhGTMoP+9kEjnn0fnSEnq3tVAwrpyeLS0YXi/ll19MOOAjUJFP1c5VbAqOY3fBhdirGjilvAgjlUJ7PIDCVB5oa0EVl2LMmoPetBrDiJJTUYDrqTtpnDiTisQOAjUl+H7/KzzFufT/y6dJpxykoimcPjcOw0HhhELa3m4DpQm/uomJz/yS8OsvEG1dz+ZGi4m+reRPGk2suYfwtvW4cvygQccTtD/9Grl33Aa/XY3DTNJp1lCmNTYGrrwckqZFoi9O45Ld+GtClP7kFtpu/hKTbv4IrsI8mp9bworAHHbpUynvaGXeBWUU5v3fXmxosHd/G/Dlgeff269tEZmVaIuR1WiFEEIIIYQ4bnldisoCaOrOfD+pSpFTMJNUy5XYff2kA+UwcTp5I4rxjhiJs6QCgKDfw6jKAuKJNEG/B8+tP6bi1swpo1bLDqy+TnKnnE3+p76ROUq533WM2xYvJnjxx9HLl3LG2DqstE1g4mWEZs4iteJF7PqNgI1v1GTcsy7c88Lp5wHg2rCa9nvvwL38OWJVoyi75X84598U6e4e3li/jqlPZo53pVsasLramfGfk+h9ZwORjdspvuhsfNXlFJ5zBiP3GpPWmnHXpqi6rZ3G3/4V01SM+9R5vPuL50mvXY/v5luwuxopefEeeifVETTi5Mw4jY6WNuz67Rheg5FXnELUl0OoMh9ffoD2gvF09Syi5aQLuHpGM8pK0/fkAlqXrSM4dRrV//xJDLdrmP50j18HnWwqpc4Acsnc4gRgHLBtr7aO93blGEw2ZTU5kc0kvyKbSX5FNpP8imx2pPmdNtJgfAU4DPC4MpPCoksvx7V4MWXX33jQ1/m9bvxe9z7blDJwVozBWTFm0Lr5F11G/kWX/cN218wL0aPqMv0VlB/wtb7J06j64QOYfd24K0egBm5h4i4q3Lev8mpc5dUAFJw+i4LTZx10PEopcHkIjKpm/O3fQGsbHenjzPnfRCuDzrZu2jYalHz/V3g9LuzWehLLX6LkzOlEnSmClS0YLgd5iWb6zzkbq72F9JQguqiC0SVRHJFunI/9mh2PryIdSeN48TVaHv4L42//T/LPOnvQn9eJ5FBHNgsGHu/R+7Xls+dY/FGfbMppMCKbSX5FNpP8imwm+RXZ7Ejzq5TC7xnCAR0hpRSqsGLQ/Ry5eThy84ZxHAYqlJ95DpRUluDa6sCfn9lmjJ5McPRkAAKnzcMz7hGan1lC9baV+KeNhLYGcra+Rfqa6+hv7Cb68EPk6xRmwkI5DYqmlDPyomnodQvoatoIJYNP0E8UB51saq2fVkp9QWv9CwCl1Fc/SJsQQgghhBBCnIgcOXkUXDefguvmZxY50jbKcJCTSpKnDUaMs2h6MYFya7AVDr+i6uzJoDUNC9/BSi4j/tHriW+vwVc79li/nWF3qNNofwKcppQaSWaSXwv8fLA2IYQQQgghhDjRKaVAZU7rVW4PPgCPi6rPfYVd/3kLZadU0PRqA3bapK+pDTNlYV79eYyiIB2b1+JbthBvTS3B08/f5xYqJ5JDnUZ7D7AaeI3MesFtB2h7faCtdbgGKIQQQgghhBDZIlg3lUkPPYEVi1LT3EXnU4/jiDVinTOPkqm1dLW0oV76O4l0CnPdMuhuITj3OpTzxFtA6KBTaK11PXABmRVpbwfu27tNa/3nga8NWuv0sI90P3KfLJHNJL8im0l+RTaT/IpsJvnNHobXi6ugkFDdOEZ85WZcQT+u8nK8xMCyQCk8BbnkjB1BLNxPx3OPoq0T796cg9365PMDXwPATcM8lg9FLvAX2UzyK7KZ5Fdks2zJrxWLYoX7cRWXHuuhiONItuRX7MsI5hC65GrSSxcRnvQJcEXRDieOkbVsKT6N+mVNuB+6H8//PMOZj9yFp7T4WA95yAw22XQMfDWBfZaKUkpdCJystf6BUuparfXDwzFAIYQQQojjhZ1K0v/WUtzllfjHjscOd5PcvYN0by/dq1fhHzWS1leW4nAYVM29COXM/Fcr0dzC9h/8BDNlkv/RuTi76vGG/GjTQucU46yspnH5VoKxBoKuJMmm3Zk2fz7mpFNo+uX/EBpdQULl0pkO4a8owbnyVdKdHahkHwlXED1qEsnXl2J1dFJ8wXkUnjIZ20xi5+dh9vURi6UJmP34XAbm7l10vtuKOWMmPU/9mXQ4QWj2WRhK0/XCc0Sao+TPnIzb78Ts7cY3ZhQ6bWK7Q4TXriPZ2knu9Kn4x4+hZ+kynAEv/lkzaX9hIb0vLSTvlJNhymRiXV10b9yO2r2VnNoaos1d+Gqq8VVXorTGVVqeWWRlwP73aBTiRBE8bx6BOZdhWjY7u16h98bbiO9cy45kDf5ffRX/9NG8funtLHoMzna+wOmziwmeNONYD/uIDTbZvJfMbU2SwBP7tX0MaB54PguQyaYQQgghTlh2Ms6aq66mf3szWsOk73yJUJEi3dOLQTHhB37M5hZI7dwFQMezC5hx3z0kG3fz1nkfxTYtckcV419loQpL8OaXg0thpdt4/N56xlamKElvxD12LP6ZU8BQaI8PI6kIVYaINTazrXYWlBQS/us9OFcswsDC5XOCw0HXw09hxzNXNgUd3fSsew7cHuyPf5aYtxT/lpfY/MDf0KZJtNcgVOyBSROIvPUs7oCH6M4VtCzbTJs5gpopftp+t4hAeRF5tSV0v/kcbaua0FjYaT8TvvoR+la+wvqv305hrRff+FpaV6ym94mnsU0PY646nU3xFGufWkLgpYeomHcWa2/9PbWf/Qg9f3yU3lQCO62Jh03KTh1Puj9KcGwNZn+YdH+cpOnC6fWQSmls5SZ03nk4S0tx+wK4vb5jmAIhDp9SCpfTgcPpwllQzeZ4OY5N68mpDrJhzs3EVIDLF96E14pS/7KTkms+QfHVNxzrYR+RwZY9+iLwIrAIeHW/tjiAUsoAChFCCCGEOIHF1yynb2sTdtpCmxZmy06UtjF3bAPbIlAUILVpEyQSkEgQfv0NALoefwTbtLFTFrmjConsbsNfU4nhcmE4nTgdsHn8xygzG3EY4MrLwXA5MRwODCsNKFRRKV0bdkFuAcrtwajfDGYal9eJUgornkKn9lzv5S/wg9YwcgwahenNof6uh4i3dJOsnoDVH6ZoUhl22sTldeHODZHsjZCM2uRcPRd3bzPhpjD5o4tRDgepvhi9O3oIFPnJnz6W/k3bsXHjUCYOt4FzVC09zywiFTapveFcnEEfScMPy5dQevI4NqXHkT99AultmyEaweXz0r2tncqzp9D06gYC1SWY3T0kGppoe2MtdstOupa+SecrS/CUBYk3biP5l7tJPvRTon/6MVZHE+2//CE9q1cRiVtY9lG/5bsQR6SywEA5nRgTp+IYWwvAyc/cii/dhz3lVErm/wueQoO2Te/SGzH3OQMgmww22XwASAPWwPO9PUvmiOaTwENDPzQhhBBCiOOHq6wKZQyc5mkoUv0JNAY6lQIyRy28uX5wOsHpxFM7GoDA6JEwMBnq39WN4XaR7ulDWzbastDKIBjvYI13NjYKO5VC2zZag3YMnISmbYI5ToiE0WYa85TzweVGa43WGofLgeEyMjekgz3/MY2EsUL5uCKdmPGBcXq94HTRt7UN5TBg4NRVV8CLO8+HQqFRuENu4t1RMAb6tTWpWJp4aw92IoVOxUjHTFBg7d6Bo7QUUBgux/tjcNSdRLyzn2j1FOx0GjsWA8NAmza2ZWOm0ljxFCgDOx4n1RfHFfCQCsfRpk2gJBdVMxrefg1fZTnKYZAKR0mHY+x4/i02tSu6vv9F+u76N6JP3EPskTuJPfUAVlfLsGZBiCOV61ecX2dwyjgndff+lDN7nyHYvBmzfDQ5c+fiinWxRU1ke6KEjdt6qd/UgLasYz3sD22wyeZ2rfXftNZ/A3bu11YJXK+1nqe1fml4hndwshqXyGaSX5HNJL8imx1Jft01tdT94JuERlenRIw+AAAgAElEQVRQOKuOsi/+G67xJ2OU16ABjaJy/lXkXDGPouuuZcaDmc/pcy65gklfv47CqTX4a0fiOP1iulesI7J9F6lEGjOQz8dHvkOrbxzLy6+hO+4jYvvp7wHbHQTbwtxZT+7MaZS/9iCet18iMHYU3tmzsQNFOPPyUT4fvlmngCcEyoPrnKtxl5biinQT7NiNJ+Qi/5PXoJxO9Mq3KPjRbYRrZ2LbilTaQbw3jjs/l5KJ5WjTJFE0kvxR+XRsbiXcniBv+hTKTh1F9+Y+Uu2NJPttohs2UTpnMtEeB2ZzK6WTcvGNqmbX35dlTou1w3ROv4KWUeeQY3XTesHn0KMnY6VtlNMgVJ5Dw8LVmGmLnnU7cOTm4gp6SPTEMJwOlMPASpuopp3g9aKcDpShiDe1oy2b9CkXUfjOk4Ry3PgmjIdIP3a4DzwOoutfp3HtOzQ0dRFPnjgrfMrfvycWv0dRlqcIFhcx4fYfU3rWyYRdZRjaom/lOpKFI1DxCPn3fJHkD7/Erm/Mx4pFj/WwP5SDXrOplHoUGK+UOmNgUxHwnb12aQfuHLiQ+wmt9YJhG+UByGpcIptJfkU2y5b8WolEZjXPosFX9bNtC7SN4TjwPc7SPT04/H4Mj2eohymOsiPNb+EV11B4xTV7bSkhf34dzpdfIu/823CWVFK132uUw0nZl2+l7Mu37tl47acBSNVvw+rtYMRHLuTzPv8BaxqLF5M/70oA8uZB7XsNl563z35aa8y+fpyhIMrhAD6+b0ffnkj6i59D2zbuwgK4cS6LFy+m5sbf7dNHmVIk0x9HaRu32/F+W8GXYPJ+9exkAsde11CO2avNtWQJF55eAKdfjdaa9n6N1idR9MnPY0f6KTLTWOEwttNPZPNm0oEAeeeGMBYuILK9AV8wQTocJbVuHa5RI0j29OPy+nH43Jmfa3cHFNoYIS9ojU7EMaprsXwB2kpOoj/px/zZLzGdbXgKiyn6xGdxl++z3mXWyZa/f8WHZ3i81N37c5pfWESjfwxlkX6MVBzviudxOhUFV16FEQwSWfkquWf9E5D5PTveF9U66GRTa331oV6otX5OKfUG8CngZ8BRnWwKIYTITokNK+h64q84i0op/PSX6Hr5VRp/9yCxi89h9S9/huPci2mddR2Gy8Up47yE/Jl/qtZ8+iu0PrkQDfiKfbhzXNScMxadU8CWykswWhoZm1qPw21jFlfgqqxEJ1P0vriQ+ClzWPmnRym+8Uo83Y14GjcS64yw/fGVKAMm/vN5+CuLibT1Eu1LETrjVNL9SRp/9yh2LIb2+YiXjcP1zmuMuHg6Fj7aXt1C2cfOIJZTysobP03xeaeQaovQv7Mdu7sJ1dNOuKEXd0EOo685G9x+/NW5xFauwkymwOGiy8qjb30L6U1byR2ZT+nkAppGzKHmpHL0Gy8TK5lA40sPEz/3anzbV9K/6G1irWHyp1aQuOAakg3NmC89RcmESrw1NUQae3HZYbxledimJtnZTU7dBLQ7iCPRS8eb72KPmohvylTSDoO0qXE5j+//qGQNpwtnSeWHfpl7xBgYMWbwHT8ApRSuvNxD7uPKzxu0DwCPS7HnpgQH39dxkMV69v8PsFKK0tz3tgXAH9inPVA76v3n3nHTKDlITW3b+Pp7cb34Av5Nf6P7zHnkdr+Le4SF8gXA6cByB0grL73f+j51dSk2PbIWZ44ivPItArWjKP3yN3GVVR/yvQlxLCiHg8q5F1Biarqv+SLFf7uD7ndbyb3xIpxFRaS6etCpXqxoH0t3hVi2GXxuzdVnKkrzjs+/yw91ZPO/gZF7b9NaX7NX+++AFPAYMHGYxieEEOIEYna2sOO2b2PFkyiHQduiFXQu34qvyAH6bKyOTrZVzSOVzIUkvLzO4qOnQsOvH6TliZfABuVUWKkUtRdPxeX3AEkmd76Echk4jCRmPEngpCkYHg/atim68jJ2NUXxdm7CvWMtns6dYNs0PL+adH+Uui9fiq+sACueoG3pGiq/PB/lcrLplv/GisRQhiJ23VfxPHgnk269Bk9JEVpriudMo2vpSvDkUvu5j9L2/Fvs/v1z6FiayrMradveARomfPZCwjs7KTh9BPFlb5Bs6cIzaiRNbdC+O4Fj+Tu4A25KxvppieUQOnUGOc1LeOeRV3F98ySSc67EaNyKUb+V3s2tjLxwFLvnzEcl46QfvI/ai06ia+NO+t7ZgL80H1epD7oT9G9rovjUOpqffJ7KU8ex7an1OG64keTK5ew+9Vrs5sXs+sw8PCEPrlCQVMykY0MnZjSMKyeHissvJjBtGv5pJ+MMBo9xcoTIUIaBM68AZ0k5M559Ecgc3Uk37UJHu7F7WnGmo7h1AmvjRiJFJeCwKZteTaAkB0NHaL3ja3hPmk3hjV/E8HiP8TsS4h+5nIrS2afiiFts/80XGflJJ50LXiG9eQMur5O2hct5+9x70NogloSXVmk+MSfLJpvArcAsrfXbB2n/gtY6PgxjEkIIcYIyG3dgD6yYqS2b/k07sVMp3MEcIHP0I5VTxnurnMTTmSMr4bVrUWTuxQVgeBQO955/wpxWHFdxMcmGLhSgnJnTYZVhYAQCQBSlFHYksqeTAd6CEIbDIJ1IYvh9oG3QGiuWyNRyKIyAH21rvKVFKIcD28jUtqIDi51Ymt7lG7CiKTxBF2bcfL+OJz9E2xvbKDBNME00kA5H6a89H2PpH0GDK+ACFCk85NhpsGy0bWM4HCS9+QTj/ei0Tagqj3QkRqpqPJ63ngfLxlsQJNHZhxmzKKwLoBwKK2WCbYPhwJsTwHAYRCKaIr+D3ukXUrvhYbZ4c/HmeHGHAvQ3d+MqqsCO7STdn6T6zHIaHnmM0i0rib/4EOGWHnwV5Wh/Pq6REyj6yEdx+OT2E+L4oJTCXTUKyBwdtZMJqsI99F56Hon6FRhOhSfoxen1EG3tRBkGsbdfJ7F+JcG6qTgKSgjOvRbDe+DTmIU4VgyXCzRs/tEj5BQnCZWEcAW8eIJusEww3KA1ykwDx+cHJwddIEhnljGbc6C2gaOeDyqlHlFKPaqUemS4BiiEEOLE4R47BWfQj3I4UE4HBafPwPB5sZKZFfa01uRuWoKBjaFsagoy2ytuuBpn0MV7M06d1rSuacC2Mita7qqYQ8NuC0dODhpNescW7LSJnTbpX/QqoIm2xiGvGPLywTCoOXccroCHpkVrsU0LV14II50isbsJbVkUX3ouyuXEVgauta8TmDSaWEMbtmnCwOqjObOmgW2R7gmTO2M8zqCbeEcCX4EX5VBorWl+ZTX5EytofnEVjrxcHG4nTr+HQNMGUh/7DBiKaHuMRF+c/L6ttHZAuqiK6vOnYSZSFDWuoHvi+fhKQ5ixNJ78XNy730VNPw38fvobukgnLYLlQbrebcc2TfwlBaAUVjKJmUyD00moyINRXIqzdQeeeHdmBVHTQjkdGF4PVsrEFXCSjmrS8QQFY8rIqymkY+1OcisL6F27kdYFLxN7+VEa/vVG1l95OU1/+SvRhu2kejuydll+ceIxPF68ReXMvOs/Kb75G+SefCqR9n5s2walSIaT9PQ68IR8NDz2Cutue4DNN83HiseO9dCF2Ef+GbMov/pSIpubsEyNw+vG5fcQSnczteEJyqLbmPrN8ym8agbvXP+l43K12kMd2QT4iFLqfKCfzPzzGjJPblFKubXWKaXUGKBruAcqhBAi+xmBHMbc81t6X3waZ3E5uXMupmzpMvpWraE3lEPBhRdRXdxOojqMM5RDeX7mn6m8U2dzygt/pm/ZcnJnn4YzL5/m3/+BSF6Q9Emnk/TU4K+diDvPxN3fTqKlgVRrF6GxE8i75HqMXTuo+Nb3YPIkMCyMVS8QqIowddZs3OOm4Rk9Bp2IUVE+g87nnsawXYz/3g+puakBO53AFcyhc81GIuk0Hn8ah8+Ho2YM/vZduL1JelQReWcVEZw8g/CWekzDwZgZKSztxDOmDm9JiMAFIWKNnRSc40En40x0uCl0ltIz/S+43nwFV76f4imjKHcmSOhqqr5/F/UrVpBbXUIgESN13TcYP2crVl+U8bEGOpMe7F8/TPqtVygvGkHfqnUYXk3CVYYbD8Wzp9O3sxlfeTHRrhi1H5lO5/pVFI6tojscwnBlfraJzl6cLhe5U6roXrMdtIXD48pMtE0Ld9CHGYsT64oRKg8BDrY/vwXtVBR93k1vdwfpWBJnTz9l1SNxOg99nZ8QR4tSipJLzqHkknOwUyn6/3IPya6l9OzopvbWz9Lz+AKiHXEmf2o20fY+Wm//KsVf+OaxHrYQ71NKMfUX32fqL75PbPs2Ou75HmCD08nEmjjex+8h2tmBtm3aX3yN9hdfg+PspJPBJpuf01pvAFBKTdmv7Q6l1M+B28nch/MTwzA+IYQQJxhnfhFFH//M+98XnDmbgjNnU794MaOuu+6grwtNnkJo8p5/imr/Y8/KnpnlVQrf/37vKwz9gDsWpvLcc/dsHPEvByhQQE5xFTln7NkvMPr9dT+pqjzAgiIVtTh7FzP+3FMOOu59Skzb7/v3nly8/z+xGcow8IytwwMEAKr2rHOa/96TCTcctF7Bft/vvTRM1ysLqbz9XsyebtJtTRgeH3WzLybW2kPzQ0/hdUVQLifKaeAK+HD7M0eWI839GG7AUwAFhSQChejODmL33MXmhZtxFudj3vH1QX4SQhxdhttN3qe+hv/8K+iY/wVUMISpXZSfMoLODQ14cjw4XBbbv/FV0lfdeKyHK8Q/8NeOoeo/f0rXXd/GPuufsCrGoBZswLZsnJdejvtr32BTKoWd2nqsh7qPQy0Q5AeuU0rdQebEpc8BX9prlxzgcuCHyERTCCGEyC6GA1dJBa6SCnzj697f7DsJCi++FACdiOJv2kls80Yqy8fQ8eYKXHYErSHd1ollg8aB86k/suXva/AUujB7O4nv2k3XotconHPWsXp3QhyQu2o0dQ/+iZ0//ylF111O10NPEm5sp2r2GDY/vgrbskme1UnrU89S9pFLj/VwhdiHI7+Yolt+SvvurTixyL/5k/QvWIL71n/HkY7hadlAp88+1sPcx6GObN4LTAMqABt4a7/2xUCl1nqtUmrIp9BKqUuBWcB2rfWfhrp/IbKZbZmk+3tw+Pw4vQESjbvpfe0N4mmLDV/9DhUfOxdvfhDlD+IdveeuaOm2RvpfehrTCBCsrSG5aSXG+GmYsQjpzRvJOe1sjPYdxJvb6SmdRrL2JPx+F4G2HZh9vYRffwHd24GuHEdsx3YM28KTl4+nMJf6pZtI7thK4dSReE8/H0+4HU9BMf27GomGE7itKA6XA6O3E6u6FpVXgrVmBU6SpEOl7L7rpxTWjcRdO4nmRD59a1fhWLsUX2UVOg3J+mac48fgmHYSgWg7Vksn6UgfgZI8zHASkjFyZ83E6mrDskysgmLCu1pJpNKs+/sinNvXEfArcsZXZxZ1GTMNFY7Q3paiO2qRs+ZZcopyyf+nS7F2byO8o4nk9PMwY3Gcq5bgCXgJjq4kHczH5XHiTsex+uP0vvAkvoIAWkM8VELTu0107e7FlZ/HSGcLye3b8YQ85M44CefoCRAL06NzcASD+PsbSDW04/IrlKEx/bmk168j2hTGnjH9GCZMiAzlDeCurcNdm5mMFs3P3Hoi/6XFbP3uf7P15juo/ONd2LEEhkuBAmVkFndq+fvTMtkUxyV3cRHj7/ghWmvyzr6cdz9zI9H2MCiVuSZcazoXLpHJpjguGf4gnmAuyWg/eTmKzpNPQsX7KH3wFpRp0nP2XGJrV+KfOvNYDxU49H02P6OUqtJaNyqlzgUa9tulQWv9F6XUd4ANhyqilBoNfAvI1VpfpZQKAL8gc+uUxVrrPx+g/rNKqSXAFz7cWxLixGaZaXo2v7NnMY6OXlp/fie+wiCeuVdRM8EmuuQpkpFeALwzTiPvms+Tqt9K369/CIChNZF1Fpw7D/x+tN+PnUygVzxP+8Z6OtfVU/CVUZTENqAiFm1/e5ZkdS3b7n2YotMm42ppxN3Tgis3hNPKoeWZbdT/cSnatvH+/Bu4/vpzYukkjQ29mNEEuFy4PnoDBVveJDVqAqH6ZdibYyR3NRLp6MecPZcCbxfhJdt595//m7rPzqLtjW3k3P4jepe9Q9eP7kKFApR98kZKN7xIw+JtuOij5tLZNP3pzxRNrsI/bjRdv7uT2MSzyCtw0LxuN733/Y7E7d/F/M1PsHKKyJ9VQecTy9hy6s0UzP8cnbE8eq++mUmLf0w8mSJmK1T9aprXttL7jfvwvPUOwQX3kYooxlx/Fq27IJR4B6u9gd6EgX3q+bi6dxBf00Gqbjbv7AiSXrYB0+Vnxta/07a1lcK60YRmnkHrggWUTt/Cu4VzqCgP4337Zbbf/wzVn7yElJ1HX9kkXA/dzbu/XomVtkh/P0SXv4DCs04+RkkT4sCUYVB68XmUXnweAJZl0XHNpwm9vJFEf3RgJ0XuzGmH6EWIY08phdPvZ9Kvf0/9T34EejsohTIMis4751gPT4iDyqscRaK/G601p/3hp2x84A8oy8RIJ0Brwq8vPG4mmwddjXbAlwcWALoauG2/tsuUUrOBNuCCQ3Witd6htd77Apkrgce01jeRWYToCqXU7wce1wMopQzg34D7P/jbEeLEl+rrzEw0lQKl6HlhATqdouzUiaDI3A6irwssCyyLxIo3AIi9ugDY60bbtobKEeByo1xuHDWjwemgd1MDylDkVhXgUBrDYVA8N7MwdawzQqK4Fnd3E4aVxhkIYDgc7Pr7SrRp466uwF9ZBGYK0insvl4cZgI1rg732jcJ1RSRk2jFoU10NAZoIm1hnH4PADufXE/B2EKSvRHcZ5yNEcohuuBlsGxclaU4rCT9yzdSeNkZhKqL0Z1tpMJJvKUFpCNRnB43naUnkSqpIbroNdAa3G4iu7opPnsqya1b6Bh9DiWrnyDW1Et89EkUrHsRhwPS0TQ5FXnYpkUkOAKjohr1ylMYaHLGVRPZugtj2iwcrbvxlhTRuWYHTo8bO5HASiaJlYzB1bKD9lFnM3LrM2jTxEyY5NSWE+8K48kJoCNhokW1eM0wVv1OenZFcAU9dBdPIr9/F+HtXVgpCztlozXsvv8vRz1fQnxYDoeDstPP4bTVrzHpzh9QctkleCvKqPrUwa+/FeJ44gyFqP3eHcx66lFGf+3L+GqqKLtcjmqK45dSCl9uIf68Itz5uUy84XIcA/fbUkrhGTvxGI9wD3WopcqVUn8AdgJ/JLNY0L/t1fZXwAT+FfiW1vr/DVpMqccGjmz+O/Cc1nq1UuohrfX1B9j3O0Ax8LzWesH+7SUlJTo///3lEbjsssuYN2/eYEMYVCQSIThMN6+Wvk+cvufMmbNSaz3rcF9/JPnVtvX/27vz6LjKO83j39+tXaXVkrUgeV8wEBuwwSEMYJZMAoTQEJZmCyFNIDRZ+qSTIYHplZDupDPJhG6mE+CQQGeBTjMMDdk6nUkUwgAhxIDB2HgBy9iWbEnWWlKptnf+qJIlC0m2pZLtG57POXV0t/rd1+XH8nnr3vu+ZFPJfeu5vn6yvb1EKuIkglHi2SS5ZCrf0QIIBAg2zCXX202uv2e4Sn5/xSwI5m9wcOkMgaEEqb7B/AiUjQ2Fjqkjl0ozkMoS7OwkVFVBgEx+XqdgEAsESOzqJpfOYIEAkYVNeD2d4BzpdA7LZnHRGF4kTNBlIBDEXBaXzeLSGbLpDENlVZTmkiQ7E7icIzKrhHTG8Gpmk+3oJLu3G8wIzp9LcKCXLAEsM0QwGibd00eoLIYFg2T7EwyV1RNlkNRAiuzeLrJNTYT3tOFFoniBLJlgCS6bw3V1k/VC5CqqiCQ6cNkcXihAMBxkKJkj17QQb+9uvIFeHB7hsijZeAWB/i7MMzIDKdKzqolnBnHpDK60nEQuhuvvJZhKEAnmyCTTBGNRrCRGNjFAqCRCIlpDzEthA30M7OoiPnc2mUAEzyC3t5NkeyL/30VTLVFnROpqphqzCR3J/E7Gr78PVPvw1lZ+VdvPtZVf1Z6p2i45SLa/l8FQlLKKiqLWHjaV/B5oNNoHgNnOuS1mNvaZzU8AMedch5k9cCgnBXYATcBLTHB11Tn3xckKhEIh1qxZwwc/+MGi/CMb1tzczNmjRywsItUufm3nHLlslsEtG9i5aRcsXkRNx6uU9LTyHPWsec+7schRNgY0089vf+ubJLvasUCQ8rnH0vXk4yTXvcCWFadw6t4NpFJZcokkFotTccXNhBrm4LIZun/wz6Q2vsxQNki0bhZucyeccAq5cJShdS8TWL6SiirHnufW07unm+r3ryEQCND70IO0vGsFx7/6a6LVZQwuOYVobyu5gSRDbT1YSSXbHnuWTHcPDTdeRNma0wi0bCJW28i2Lb30701R9u7llD3/E0KpXoLzFxCIRHEtm/C6WnlxyRks2baOWHU5G+5/lnhDnLIT55BctpLg0mX0/uoRUhu2EJvfSPy0kwh17SUbj1NS6oi5BIlXtlH5rkUQ8OjZ2sJbiy+gqbqf5Nbt7IztJZyqp/SF31BTFyZqPWxtOo/4upcYeOZF+isXEli6hOqhbaS2bKaisYJoZQlts08lef51hH/9ONGXf01JZRkl82pwJ5xMZMtawiFYG1rByckdBCxNtq2fwcWnsLt2Md2t/VSsfZLKTDvpZI6Kle9isHU3ZIeILVlC2+L3UlfXh9u+kZ13/4y681eTfe+FlNSW0rfx57Q/vZneW/6Y9115KRY4+qaR0O9f1T6StadL+VXtI1l7upRf1T6StadistForwRq8os23nOTfwYsID8S7Y3AhFc2zawa+BJwcuGq5j8C9xQGAXpyKg0vLS3lvvt0h60fOVe4qjZ8OyeQG0xAMAyBID3tPfDWFkpmV9C1diODm7cQKYdMJkhiyzZs8VwoLyO46j2U/P4XpCzI9nV7CF3zMeamthPracNcDlyGzOu/I7TirCP4px3fdPNb2rCA0oYF+9Zrr7wWrryWN5qbKbv8bTcKAGCBIFUf/vTERf9oZLH8kjH7Tj6FPc3NzPvYzRO+ff6dY7dcCIyZeuGsE8d9b7S5mTkfzd9pf+Z4TTzz9AnPC/lfVMMqgLnDK+9/L937fulevO+YJoCbL5205r4JL875NDC2UfmpJiLNzVSd/ZF9W6vIj6gGwPVnT1i7fnhh5ekcM+Y3Z92p57CY/H8WR2NHE/T7V/xN+RU/U37Fbya7srkVaCss5++l218ZsKmwnJ7sJM65TuCWMZs/Ot6xB6u/v5+bb755yt/s9PziR7Q9/C+EamppuuMu2P0GyRefJhuqZ/f376G3H+J73iBYVkrVNX9KqLYBgK3PrSP85vO40goGX3wNqyyn88f/Fy+XZsFlZ9K37nUGWndTt/p4ovPnYgEjk/X4Fe/FBQd45ttPEj1tNfFNv6X9gYcZDJcRqS1jttdFRXWIdHcfW9vjdBx7FieFNxE57mR+V3sx6cEhFq79Pg3dv2doyBG58FI8jK3fa6bz3RcRq+9jy3e/TebltSQ7E5TNqyd15gfIdbYze9fzRKvLGdzSwsYfvEhmYJD4jdey4+yPs6Cii4bW5wi+uZ7eF9eTTTtKTzmJTfVnMXdROZHmx0jOWsTW9lZaX+0ivHoVfQ3LeGNbgnD7LoLN/4ll+jit9k0C2Qz9fY7kWZfgfvKv1C1vpGzpQrqeeYHSY6pof2UXsbpyqpYvYnfFMqzuGAbe2MK2h/8Xu57vYMlNZ/NC6Tks+H/30nTOStbe+gSp7j6aTm+k5ZUOBtsT1P/FrbjX12E3/zcqEttp++UzVJ53Bpvrz2VV1GHJMTHNZacTsxkz3fyKHEnKr/iZ8it+pvyK30zW2byKkQ7mcGfzqVH7HdBgZhcx6ov6w2U63+ykWraw7WtfxWVzDO5opeN//hWVC2qxRcdjvUFijQsoWf8CVhsFMiR+eA+Vn/wSr7/aSv3GHxGyDEMtW/FWr2LbnfeQ7cqP+rnp/h8Rrw4x59yVxOqr8MIeBAIYHouGNvMq5fxHcjnX7t3Mzi/chUsmqTu+hmhPlFAsRHq3R9Ji/OeyT/GJ5N2Eh9I8Gb6dVF+AirAxr7KDnrUtVH7qM0RDWfpa2thx9V+yILeJRHIP6Z8+Rl9LJ8G6euJrLqVr0GP+xp8RmdPIwOub2dH8BoN7eqm/5kw2nPtpFlR0MaftOcLtW+n4/cv07eii4czl/Ef4v3LO8TEi65+l5fFfEfzcKlp+u5t4fSm7qk9kqKOLoRQ0fOfLrDv1I3yo59uUlMTZsXY3ZZ+7nYEHv8eCRRXMOmM1bf/+cyoaZ9G3s4d0Tx9Nl59L955BMiveQ/JLd+Cddy7dW7qZe/XZ9A4FsYFWak5cTLq9i/7te6laUkEgFKRvRy+RihCBJUvJrl8LOJwZuYEBvMa5zN66ifUtxxFbUEcsPotofzt4HsFjj86RPPXNpPiZ8it+pvyKnym/4jeTjUZ7D/nO6KPA94Cxl4j+GngZmEP++c3DavibnSefPPS7cFPbt45MG+Hyd2/islB4ts8CASybxjwP8zyCofyhe9u6yBU+Mi+TIlc5m1xiYF/dbGFQllBZDMPyHU0zguaYE24HjCGLQs/efVfcAiEPM/ACHmZGX7CKctdDDg+HkfJigFEeHoK+bnCOSMjhGfR1JnHmUZ7tLoxO6pFOpInWziIdLCWSaIdcFotEcOkMmWQaL+hBbQND2SAllsTr6cCZR3YoQyAaIlgaJ0EJOQtgyQFymSwEg2TXrydQWUHWBWjvzNJQHyI1kCGc6iUUDZLL5ojOriARnoVlMwQryiCXI5fJ4AU9Uv1D+c/W88hGyzDncP0JcPlRs7xQgHBmgMHKJnLpLKGyKF7AY6hriFwuhxf2SHamSD33LF48Djvfojt2DDWXXED34wsj/ssAAA4sSURBVE+yYnGWWbvW8dq2UvYeezGRi27Byqqx2Mw82D1d08mvyJGm/IqfKb/iZ8qv+M2EnU3nXAtQ6px73jn3Mvk5MUe7xDn3LefcN4GLZrKR4xn+ZmcqtxDEVr6HSEUpFvAwz/AaFkIgCN0d4BwunWbIYmRTGbKpDOmSOgAali1ggBhDLkyupJzQhheovPYKCAUhGKTx/NUEykrZu34bzuUgk8HlcmRyxsbBJowcczJvMlQzj+jy47BohJ5dA2ScRzbjcEDVUBv92SjdVskQYeZ0/x4zR/tgnMyqcwjGwuxq6SfjPGY1lhLu3M4boWPxPKByFrG6crpefJ3Svrfoa1xBLhgh3babyLwm6k9txOUc6WefozHawfbB2WSaFsNggpI59aQTQyR3tFLHHtK9CRInnEHVsU24/n7KLjqP7vu+T9z6mDe3hFc3Jqm4YA2DVk7LDghEQmQTCRq6XiFx9WfZu3kXmUyOmtNOovetDmYtrqFvR4LO37xAZaifwb4MpdddRy6bo6Qhys7Hnqa0tpyFmY2szx1HKlTCu/7sfCwap2NzP03nLKOkqZqOB39KrnwuFel+qga6qb7soxx/973Mv+5mLviTc7n0/XUsaozieUfns27DppNfkSNN+RU/U37Fz5Rf8ZsDjUb7CzN7jHxH83+P2bd81PIKwDcTwgXi5Sx94BF6m39OeM584ieeQrZ9J9mOndDSTi4Yx62+gHTrLqI11ZStPA2A+U0xWi+8hZ1vvkVtQxnBxADxjRuo++53KIl5uNYWnFeKlZdjXo5cPEa2t5NwOExtrpGeLS/yX+q3Qd3pzHvgm+x55ne0ZWYxNLeJmtIBSrpbSO/czifcDrZHrqI8luL8FfNpc45U2qjInoy7826yG19hIDIPb9XpnLlhHe3dbeyKlVFy619Rk2jHBoYY2LmDJaxj8IrPExxsp6w8QvyiCA13lpHc00M21UpvvJ5E/BzCjcuo6Wul6vIMA62dnBcf4q1MI9lIOYu+/gA7X/gtK06dT8/y20jvegFbtZrFjbPp6b2RKwd24/gKgSqPZXFHctduVgfSpP7hQYKpLrzsIKUfuglHgFNv6GJob4LYksWcHC9h8KRFtD7za+Zd9m0WV80CMyqdw7yR70Dqbhv5e1t2mHMiIiIiIiJTN2ln0zn3Q+CHE+wuN7MbyT+7OWuCY2bMdB+QDpSWU3XR5SPrsxsJzG7E291M5aln5zeuWPm29zXURmioXbxvffZxIyOCsvSECc+3GNjRsZl5o4YiLr/wXBbvd9RcOAUqGTWiJYWRM/HY92js3IXsm2HpmDNoAPY2NzPvhIXAwnHOPne/tfDsfJ2RWZoWFF4wfNNp5ajjvUiUkkXLKFnEGFGgfL8tkaZRn8eoM+RXa4jMH1mNR/O31YarR40lOmqE2j9kesBf/Ez5FT9TfsXPlF/xmwNd2ZzMrcD7yA8eNN7UKDNKD0iLnym/4mfKr/iZ8it+pvyK30w2QNCBfNI591Pn3E+AjxerQSIiIiIiIuJ/k3Y2zewvzOwRM3vYzH4wZvfoezPnFb9pk9NoXOJnyq/4mfIrfqb8ip8pv+I3B7qNttY5d9UE+7Jm9kXyz2xO5wrplOg2AvEz5Vf8TPkVP1N+xc+UX/GbCTubZvYBoMLMrgZ6AAq3zFJYvs3Mjissb5jphoqIiIiIiIh/THZlswb4JRAGZpO/grmPmT1c2FZiZjjnLpmxVoqIiIiIiIivTHj7q3PuISDunHuosDxrzP6rnXPXFDqZT81wO99G96yLnym/4mfKr/iZ8it+pvyK30x2G+1XgdPNbD756U0WAd8Ytf/4UTWOm7kmjk/3rIufKb/iZ8qv+JnyK36m/IrfTHYb7T3AS8BvgBzQNmb/FYWfycKxIiIiIiIiIsDknc3/Qf6ZzD8if2XTAVeO2v9vzrnXzOx6oGTmmigiIiIiIiJ+M9kzm1cArwKfBD4G/G7MIdeb2QpgAXDTjLVwArpnXfxM+RU/U37Fz5Rf8TPlV/zmQPNsLgG6gCxQP2bfPODjwN8Dnyl+0yane9bFz5Rf8TPlV/xM+RU/U37Fbw7U2bwPeIh8Z/PeMfv+Fqhwzu0wM329IiIiIiIiIvtMNhrtAqAT+FJh037zbDrnNo5abp6JxomIiIiIiIg/TXZl831AHfnBgSDf2bwTwMwqnHM9M9w2ERERERER8anJOptLgV8CTznn+sbsu8PM9jrnvjJzTRMRERERERG/mqyz+Y/AucDdZlYBvO6cu2PU+643s1UUpkVxzl05QR0RERERERF5h5lw6hPgLWADsAnYDsSGdzjnPkt+zs0bgT85Eh1NDf0sfqb8ip8pv+Jnyq/4mfIrfjPZlc2dwL8BX3bO7Rpn/4eAuQBm9pZz7s4ZaN+ENPSz+JnyK36m/IqfKb/iZ8qv+M1knc1jgTXAJ80sBnQ65+4atb/KOXcTgJl9dQbbKCIiIiIiIj4zWWfTK7xiwHygZMz+SjP7CPlRaqtnpHUiIiIiIiLiS5N1Nr8BNAPfcM61jLP/4+SnRzHgluI3TURERERERPxqws6mc+6Gyd7onEsDPy52g0RERERERMT/JhuNVkRERERERGRK1NkUERERERGRojtqO5tm9m4zu83Mbhhvf09Pz4ycdybnLVLtP5zaQM103qz8qvaRrI3yq9o+ro3yq9o+ro3yq9o+rs1U8uucm/EXsBB4AHi0sB4HHgLuB66d5H1fBm4Yb18kEnHjeeKJJyZcH14e7+fwa+nSpePWfSfVHrvsp9qj16dSe+w5JqoPJNw0/k0ov8rveLWVX39kbCZrK78j25Rf/9VWfke2Kb/+q638jmwrZn4Py5VN59wbzrkbR236UKHjeRNwsZldYmYPFl7XjHrfF4CyQznX2N786PXh5fF+Dr9U+8lxl/1Se+z2Q6099hyH+llP19GUA7/WVn5Htim//qut/I5sU379V1v5Hdmm/PqvtvI7sq2Y+bV8J/XwMLNHnXOXm9ntwE+dcy+Z2Q+cc9eMc+zFwEqg1Tl37zj7k0B21KZ2oAOoAEbfYzB6fXh5vJ/DQoU643mn1GbMsp9qj64/ldpjzzG2vcPrxzrnDumLkNGUX+V3gtqj6yu/+3un1IaZzZjyq/wqv8qvnzOm/Posv5PNszmTdgBNwEtM8Nyoc+4J4ImJCjjnojPTNJGZp/yKnym/4mfKr/iZ8it+c1huozWzajP7FnBy4armY8BlZvZNYGbvKxAREREREZHD7rDeRisiIiIiIiLvDEft1CciIiIiIiLiX39wnU0zu93MripyzUnn/Jxm7Q+Y2V+b2XUzUPssM3ukyPU+b2YfLlbNMbWL1tYxtWfyMy5qNpTf/Worvyi/yu9+9ZTf/Wsrv8qv8jtST/kdqa38cvTk96jtbJrZQjN7wMweLazHzewhM7vfzK6d4D1nAa8Uu65z7rfArJlos3Pux8DXgGNmoPZT5AdhOigHcY7TnHNfOVBbp1L7UNt6iLUP6jOeYu1xs6H8FqW28qv8Kr/Kr/Kr/Cq/yq/yO7Xahz2/4zrUiTkP94v8fJwAHwY+WFj+V+AS4MHC65rC9j8H7gS+Ucy6o97zqRloswf8LVBZ7NqFfV8o4md+W2H588X++5xqWw+y3Yf0GR9quyfLhvKr/Cq/yq/yq/wqv8qv8qv8vpPyO/p1pKY+mYomRr61yTrnHgceH32Ac+7rZjYfOK2YdW3UnJ/FbjPw34Eq4HTgJ0Vu94nAmWb2knPuZ4fY9redA3jOzL4A7JxCrUlrF6GtE9Zm6p/xAWsfQjaU30Nvt/Kr/Cq/hXOg/L6ttvKr/KL8AsrvOO1Wfo+e/Pqqs3nAuTkBnHPbgG3FrOsOMOfnNGt/cQp1D7b2y8AHplj/bedw+Uv9T02j3mS1p9vWyWpP9TM+mNoHmw3l99BrK7/Kr/Kr/E5WW/mdGuX34Gsrv8qv8jt+7YPPxnQu287kC6gGvgVsBW4H4sB3gG8C1x5tdf1c2+/tPxprK7/Kr59rK7/Kr59rK7/Kr59rK7/K7x9abc2zKSIiIiIiIkV31I5GKyIiIiIiIv6lzqaIiIiIiIgUnTqbIiIiIiIiUnTqbIqIiIiIiEjRqbMpIiIiIiIiRafOpoiIiIiIiBSdOpsiIiIiIiJSdOpsioiIiIiIHAIzu8HMXiosh8ysxcwumoHzPHok3z9dwSN5chEREREREZ963cxOB+qAZwHMbB7wWcCArcB9wB1AJfCyc+5+M3saeAw4Bficc25X4b0lY48Fas3si8CxwGeAm4BHnXOvmtkjzrmrzOwV4EFgFXAjcCpwM7B5orpj2wCEgLuAPcD/ARLADeT7i8865743lQ9IVzZFREREREQO3aPAZcD7gZ8Xtt0KDAKdwHLAke+w7QWuLBzT55z7OvAwsGZUvfGOzTrn/hL4KnD9BO3Y4Zz7GvkO70nAnwIfA741Sd2xbfgEcKdz7rPOuaeBPwe6gHbg5IP/SPanK5siIiIiIiKHbrDwsw3IFZY94LvOuXUAZnYZ8Jpz7l/M7FeFYxKFn2kgMqreheMc60b9dMAQEDQzA2IT1MsBmcKxE9Ud+x4b9WcACAN3O+e6DuqTmIA6myIiIiIiIlNzG/lO4PBVx3uAvzOzVqAP+C7wZTNrAAIHqPXiOMcGzewuYAn5q42zgU8Br5HvII7nXuAfyHeCJ6o71j8Df1No9xPAV4B/MrPdwDbn3D8doO3jMufcgY8SEREREREROQR6ZlNERERERESKTp1NERERERERKTp1NkVERERERKTo1NkUERERERGRolNnU0RERERERIpOnU0REREREREpOnU2RUREREREpOj+PwC28pTxF3ghAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 1080x360 with 10 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False \n", "\n", "files_ts_samp = [folder + 'timeseries_Langevin_linear_samp%d.csv' % i for i in range(1,6)]\n", "\n", "skips = [0, 1, 4, 9, 49]\n", "\n", "labels = ['$\\delta t$ = 0.005', '$\\delta t$ = 0.01', '$\\delta t$ = 0.025', \n", " '$\\delta t$ = 0.05', '$\\delta t$ = 0.25']\n", "\n", "params = {}\n", "\n", "steadystate = np.logspace(-3,2,N).reshape([N,1])\n", "\n", "# no interaction\n", "omega = np.zeros([N, N]); np.fill_diagonal(omega, -1)\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "\n", "params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", "params['noise'] = 1e-1\n", "\n", "params['noise_linear'] = 1e-1\n", "params['noise_sqrt'] = 1e-2\n", "\n", "def create_new_files_Langevin_different_samplings():\n", " N = 150\n", " \n", " # first simulate smallest timestep\n", " \n", " f0 = files_ts_samp[0]\n", " \n", " if os.path.exists(f0):\n", " os.remove(f0)\n", " \n", " Timeseries(params, f = f0,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR, \n", " dt = 0.005, T=100.0)\n", " \n", " # take different samplings\n", " for f, skip in zip(files_ts_samp[1:], skips[1:]):\n", " if os.path.exists(f):\n", " os.remove(f)\n", "\n", " d = pd.read_csv(f0, index_col=0)\n", " d = d.iloc[::(skip+1)]\n", "\n", " d.to_csv(f)\n", "\n", "if new:\n", " create_new_files_Langevin_different_samplings()\n", "\n", "ts_plot = PlotTimeseriesComparison(files_ts_samp, labels, composition=['ts', 'disdx'])\n", "ts_plot.axes['disdx'][0].set_ylim([1e-3, 5e-1])\n", "for ax in ts_plot.axes['disdx']:\n", " ax.set_xlim([1e-4, 1e3])\n", " \n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:39:55.608782Z", "start_time": "2020-02-19T08:39:54.973450Z" } }, "outputs": [ { "data": { "text/plain": [ "<noise_properties_plotting.PlotNoiseColorComparison at 0x1a22bf4dd0>" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x252 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "files_noise_samp = [folder + 'noise_abundance_Langevin_samp%d.csv' % i for i in range(1,5)]\n", "\n", "labels = ['0.005', '0.01', '0.025', '0.05'] #, '0.25']\n", "\n", "def mean_noise_color_abundance():\n", " noise_colors = [pd.DataFrame() for i in range(len(files_noise_samp))]\n", " \n", " N = 150\n", " steadystate = np.logspace(-3,2,N).reshape([N,1])\n", " \n", " for noise_colors_i in noise_colors:\n", " noise_colors_i['steady state'] = steadystate.flatten()\n", " \n", " for i in range(1, 21):\n", " create_new_files_Langevin_different_samplings()\n", "\n", " for j, f in enumerate(files_ts_samp):\n", " x = pd.read_csv(f, index_col=1)\n", " ns = noise_slope(x)\n", " noise_colors[j]['ts %d slope' % i] = ns['slope_linear'].values\n", " noise_colors[j]['ts %d std' % i] = ns['std_slope_linear'].values\n", " \n", " for i, noise_colors_i in enumerate(noise_colors):\n", " noise_colors_i.to_csv(files_noise_samp[i][0])\n", "\n", "if new:\n", " mean_noise_color_abundance()\n", "\n", "PlotNoiseColorComparison(files_noise_samp[::-1], labels[::-1], legend_title='sampling dt')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary figure no interactions" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:43:10.831395Z", "start_time": "2020-02-19T08:43:07.443146Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x576 with 5 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 8))\n", "\n", "gs = gridspec.GridSpec(2, 2, top=0.9, bottom=0.18, left=0.1,\n", " right=0.9, wspace=0.05, hspace=0.05)\n", "gs_tot = gridspec.GridSpec(1, 1, top=0.9, bottom=0.18, left=0.08, right=0.9)\n", "\n", "ax_tot = fig.add_subplot(gs_tot[0], frameon=False)\n", "ax_tot.tick_params(axis='both', left=False, labelleft=False,\n", " bottom=False, labelbottom=False)\n", "\n", "# implementation\n", "\n", "ax = fig.add_subplot(gs[0])\n", "\n", "files_noise = [folder + 'noise_abundance_' + imp + '.csv' for imp in ['Langevin_linear',\n", " 'Langevin_sqrt', \n", " 'Langevin_constant', \n", " 'Ricker_linear', \n", " 'Arato_linear']][::-1]\n", "\n", "labels = ['Langevin linear', 'Langevin sqrt',\n", " 'Langevin constant', 'Ricker linear', 'Arato linear'][::-1]\n", "\n", "PlotNoiseColorComparison(files_noise, labels, legend_title='Implementation', ax=ax)\n", "ax.tick_params(axis=\"both\", bottom=False, top=False,\n", " labelbottom=False, labeltop=False)\n", "ax.set_xlabel('')\n", "ax.set_ylabel('')\n", "\n", "# fundamental dt\n", "\n", "ax = fig.add_subplot(gs[1], sharex=ax, sharey=ax)\n", "\n", "files_noise_dt = [folder + 'noise_abundance_Langevin_dt%d.csv' % i for i in range(1,5)]\n", "\n", "labels = ['0.0005', '0.001', '0.005', '0.01']\n", "\n", "PlotNoiseColorComparison(\n", " files_noise_dt[::-1], labels[::-1], legend_title='Fundamental dt', ax=ax)\n", "ax.tick_params(axis=\"both\", bottom=False, top=False,\n", " labelbottom=False, labeltop=False, left=False, labelleft=False)\n", "ax.set_xlabel('')\n", "ax.set_ylabel('')\n", "\n", "# sampling dt\n", "\n", "ax = fig.add_subplot(gs[2], sharex=ax, sharey=ax)\n", "\n", "files_noise_samp = [folder + 'noise_abundance_Langevin_samp%d.csv' % i for i in range(1,5)]\n", "\n", "labels = ['0.005', '0.01', '0.025', '0.05'] #, '0.25']\n", "\n", "PlotNoiseColorComparison(\n", " files_noise_samp[::-1], labels[::-1], legend_title='Sampling dt', ax=ax)\n", "ax.set_xlabel('')\n", "ax.set_ylabel('')\n", "\n", "# noise strength\n", "\n", "ax = fig.add_subplot(gs[3], sharex=ax, sharey=ax)\n", "\n", "files_noise_sigma = [folder + 'noise_abundance_Langevin_linear_sigma%d.csv' % i for i in range(1,6)]\n", " \n", "labels = ['0.01', '0.1', '0.2', '0.25', '0.3']\n", "\n", "PlotNoiseColorComparison(\n", " files_noise_sigma[::-1], labels, legend_title='Noise strength $\\sigma$', ax=ax)\n", "ax.tick_params(axis=\"both\", bottom=True, labelbottom=True,\n", " left=False, labelleft=False)\n", "ax.set_ylabel('')\n", "\n", "ax_tot.set_ylabel('Slope power spectral density')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Large noise make species go extinct" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$d x_i = \\lambda_i dt + g_i x_i dt + \\sum_j \\omega_{ij} x_i x_j dt + x_i \\sigma dW$\n", "\n", "If $\\sigma dW > g_i dt$, than the species number will decrease (is this true?)\n", "\n", "In steady state $x_i^* = g_i$, so when $\\sigma \\sqrt{dt} > g_i dt$ the species number will decrease. (?)\n", "\n", "For $dt = 0.01$, $\\sigma > 0.1 x_i^*$." ] }, { "cell_type": "code", "execution_count": 209, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T12:31:55.919718Z", "start_time": "2020-02-19T12:31:55.510204Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "f = folder + 'largenoise.csv'\n", "noise = np.array([0, 1e-2,5e-2,1e-1,4e-1]); N = len(noise)\n", "\n", "if new:\n", " params = {}\n", "\n", " params['noise_linear'] = noise.reshape([N,1])\n", " \n", " initcond = 0.1*np.ones([N,1])\n", " params['initial_condition'] = initcond\n", " \n", " # no interaction\n", " omega = np.zeros([N, N]); np.fill_diagonal(omega, -1)\n", " params['interaction_matrix'] = omega\n", " \n", " # no immigration\n", " params['immigration_rate'] = np.zeros([N, 1])\n", "\n", " # different growth rates determined by the steady state\n", " params['growth_rate'] = - (omega).dot(initcond)\n", "\n", " if os.path.exists(f):\n", " os.remove(f)\n", "\n", " Timeseries(params, T=100, f = f,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR)\n", "\n", "x = pd.read_csv(f)\n", "\n", "for j in range(N,0,-1):\n", " plt.plot(x['time'][::10], x['species_%d'%j][::10], label='%.3E' % noise[j-1])\n", "plt.yscale('log')\n", "plt.legend(title = r'$\\sigma$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Neutrality" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:45:31.845201Z", "start_time": "2020-02-19T08:45:31.798504Z" } }, "outputs": [], "source": [ "def plot_neutrality_measures(neutrality, labels, figsize=(12,4.5), y=0.75):\n", " fig = plt.figure(figsize=figsize)\n", " gs1 = gridspec.GridSpec(2,1,hspace=0, left = 0.1, bottom=y)\n", " gs2 = gridspec.GridSpec(1,2,wspace=0.2, top=0.2)\n", "\n", " ax_KL = fig.add_subplot(gs1[0])\n", " ax_clb_KL = fig.add_subplot(gs2[0])\n", " ax_NCT = fig.add_subplot(gs1[1])\n", " ax_clb_NCT = fig.add_subplot(gs2[1])\n", " ax_KL.set_facecolor('lightgrey')\n", " ax_NCT.set_facecolor('lightgrey')\n", "\n", " x = np.log10(neutrality['KL'].values.astype(np.float64))\n", " x = x.reshape([1, len(x)])\n", " x[np.isinf(x)] = 3.0\n", " mat_KL = ax_KL.matshow(x, origin='lower', \n", " cmap='Blues', aspect='auto', vmin=-1, vmax=3)\n", " ax_KL.set_yticks([0])\n", " ax_KL.set_yticklabels([r'log$_{10}$($D_{KL}$)'], fontsize=10)\n", "\n", " ax_KL.tick_params(axis=\"both\", bottom=False, top=False, labelbottom=False, labeltop=False, left=True, labelleft=True)\n", "\n", " fig.colorbar(mat_KL, cax=ax_clb_KL, orientation='horizontal')\n", " ax_clb_KL.set_title(r'log$_{10}$($D_{KL}$)')\n", "\n", " x = np.log10(neutrality['NCT'].values.astype(np.float64))\n", " x = x.reshape([1, len(x)])\n", "\n", " vmin = -5; vmax = 0 # pvalue is max 1 = 1e0\n", " norm = PiecewiseNormalize([vmin, np.log10(0.05), vmax], [0, 0.5, 1])\n", " mat_NCT = ax_NCT.matshow(x, origin='lower', norm=norm, \n", " cmap='seismic_r', aspect='auto', vmin=vmin, vmax=vmax)\n", " fig.colorbar(mat_NCT, cax=ax_clb_NCT, orientation='horizontal')\n", "\n", " ax_NCT.set_xticks(range(len(x[0])))\n", " ax_NCT.set_xticklabels(labels)\n", "\n", " ax_NCT.set_yticks([0])\n", " ax_NCT.set_yticklabels([r'log$_{10}$($p_{NCT}$)'], fontsize=10)\n", "\n", " # Set ticks on both sides of axes on\n", " ax_NCT.tick_params(axis=\"both\", bottom=True, top=False, labelbottom=True, labeltop=False, left=True, labelleft=True)\n", " ax_clb_NCT.set_title(r'log$_{10}$($p_{NCT}$)')\n", "\n", " # Rotate and align bottom ticklabels\n", " plt.setp([tick.label1 for tick in ax_NCT.xaxis.get_major_ticks()], rotation=90,\n", " ha=\"right\", va=\"center\", rotation_mode=\"anchor\", fontsize=10)\n", " plt.setp([tick.label1 for tick in ax_NCT.yaxis.get_major_ticks()], fontsize=10)\n", "\n", " ax_clb2 = ax_clb_KL.twiny()\n", " ax_clb_KL.xaxis.set_ticks_position('bottom')\n", " ax_clb2.xaxis.set_ticks_position('top')\n", " ax_clb2.xaxis.set_ticks([0.05,0.95])\n", " ax_clb2.set_xlim([0,1])\n", " ax_clb2.xaxis.set_ticklabels(['neutral','niche'])\n", "\n", " ax_clb2 = ax_clb_NCT.twiny()\n", " ax_clb_NCT.xaxis.set_ticks_position('bottom')\n", " ax_clb2.xaxis.set_ticks_position('top')\n", " ax_clb2.xaxis.set_ticks([1+(vmin + np.log10(0.05))/(vmax - vmin)/2,\n", " 1+(vmax + np.log10(0.05))/(vmax - vmin)/2])\n", " ax_clb2.set_xlim([0,1])\n", " ax_clb2.xaxis.set_ticklabels(['niche','neutral'])" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:57:34.384112Z", "start_time": "2020-02-19T08:57:34.335485Z" } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>KL</th>\n", " <th>NCT</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>Langevin linear</th>\n", " <td>inf</td>\n", " <td>2.149809e-01</td>\n", " </tr>\n", " <tr>\n", " <th>Langevin sqrt</th>\n", " <td>NaN</td>\n", " <td>1.333268e-111</td>\n", " </tr>\n", " <tr>\n", " <th>Langevin linear sqrt</th>\n", " <td>inf</td>\n", " <td>2.221053e-03</td>\n", " </tr>\n", " <tr>\n", " <th>Ricker linear</th>\n", " <td>inf</td>\n", " <td>6.141094e-06</td>\n", " </tr>\n", " <tr>\n", " <th>Arato linear</th>\n", " <td>inf</td>\n", " <td>1.341640e-01</td>\n", " </tr>\n", " <tr>\n", " <th>$\\sigma$ = 0.01</th>\n", " <td>1.048046e+07</td>\n", " <td>5.206795e-315</td>\n", " </tr>\n", " <tr>\n", " <th>$\\sigma$ = 0.1</th>\n", " <td>inf</td>\n", " <td>1.287714e-10</td>\n", " </tr>\n", " <tr>\n", " <th>$\\sigma$ = 0.2</th>\n", " <td>inf</td>\n", " <td>4.998548e-01</td>\n", " </tr>\n", " <tr>\n", " <th>$\\sigma$ = 0.25</th>\n", " <td>inf</td>\n", " <td>2.022498e-01</td>\n", " </tr>\n", " <tr>\n", " <th>$\\sigma$ = 0.3</th>\n", " <td>inf</td>\n", " <td>3.966121e-02</td>\n", " </tr>\n", " <tr>\n", " <th>fundamental $\\delta t$ = 0.0005</th>\n", " <td>inf</td>\n", " <td>2.085592e-02</td>\n", " </tr>\n", " <tr>\n", " <th>fundamental $\\delta t$ = 0.001</th>\n", " <td>inf</td>\n", " <td>3.665272e-03</td>\n", " </tr>\n", " <tr>\n", " <th>fundamental $\\delta t$ = 0.005</th>\n", " <td>inf</td>\n", " <td>4.759683e-03</td>\n", " </tr>\n", " <tr>\n", " <th>fundamental $\\delta t$ = 0.01</th>\n", " <td>inf</td>\n", " <td>3.864863e-03</td>\n", " </tr>\n", " <tr>\n", " <th>sampling $\\delta$t = 0.005</th>\n", " <td>inf</td>\n", " <td>4.125122e-47</td>\n", " </tr>\n", " <tr>\n", " <th>sampling $\\delta$t = 0.01</th>\n", " <td>inf</td>\n", " <td>3.954513e-50</td>\n", " </tr>\n", " <tr>\n", " <th>sampling $\\delta$t = 0.025</th>\n", " <td>inf</td>\n", " <td>7.279551e-22</td>\n", " </tr>\n", " <tr>\n", " <th>sampling $\\delta$t = 0.05</th>\n", " <td>inf</td>\n", " <td>6.173187e-08</td>\n", " </tr>\n", " <tr>\n", " <th>sampling $\\delta$t = 0.25</th>\n", " <td>inf</td>\n", " <td>6.173187e-08</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " KL NCT\n", "Langevin linear inf 2.149809e-01\n", "Langevin sqrt NaN 1.333268e-111\n", "Langevin linear sqrt inf 2.221053e-03\n", "Ricker linear inf 6.141094e-06\n", "Arato linear inf 1.341640e-01\n", "$\\sigma$ = 0.01 1.048046e+07 5.206795e-315\n", "$\\sigma$ = 0.1 inf 1.287714e-10\n", "$\\sigma$ = 0.2 inf 4.998548e-01\n", "$\\sigma$ = 0.25 inf 2.022498e-01\n", "$\\sigma$ = 0.3 inf 3.966121e-02\n", "fundamental $\\delta t$ = 0.0005 inf 2.085592e-02\n", "fundamental $\\delta t$ = 0.001 inf 3.665272e-03\n", "fundamental $\\delta t$ = 0.005 inf 4.759683e-03\n", "fundamental $\\delta t$ = 0.01 inf 3.864863e-03\n", "sampling $\\delta$t = 0.005 inf 4.125122e-47\n", "sampling $\\delta$t = 0.01 inf 3.954513e-50\n", "sampling $\\delta$t = 0.025 inf 7.279551e-22\n", "sampling $\\delta$t = 0.05 inf 6.173187e-08\n", "sampling $\\delta$t = 0.25 inf 6.173187e-08" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "if False:\n", " files = ['timeseries_Langevin_linear.csv', \n", " 'timeseries_Langevin_sqrt.csv', \n", " 'timeseries_Langevin_linear_sqrt.csv',\n", " 'timeseries_Ricker_linear.csv', \n", " 'timeseries_Arato_linear.csv',\n", " 'timeseries_Langevin_linear_sigma1.csv',\n", " 'timeseries_Langevin_linear_sigma2.csv',\n", " 'timeseries_Langevin_linear_sigma3.csv',\n", " 'timeseries_Langevin_linear_sigma4.csv',\n", " 'timeseries_Langevin_linear_sigma5.csv',\n", " 'timeseries_Langevin_linear_dt1.csv', \n", " 'timeseries_Langevin_linear_dt3.csv', \n", " 'timeseries_Langevin_linear_dt2.csv', \n", " 'timeseries_Langevin_linear_dt4.csv',\n", " 'timeseries_Langevin_linear_samp1.csv',\n", " 'timeseries_Langevin_linear_samp2.csv',\n", " 'timeseries_Langevin_linear_samp3.csv', \n", " 'timeseries_Langevin_linear_samp4.csv',\n", " 'timeseries_Langevin_linear_samp4.csv'\n", " ]\n", "\n", " labels = ['Langevin linear', 'Langevin sqrt', 'Langevin linear sqrt',\n", " 'Ricker linear', 'Arato linear', \n", " r'$\\sigma$ = 0.01', r'$\\sigma$ = 0.1', r'$\\sigma$ = 0.2', r'$\\sigma$ = 0.25', r'$\\sigma$ = 0.3',\n", " 'fundamental $\\delta t$ = 0.0005', 'fundamental $\\delta t$ = 0.001', \n", " 'fundamental $\\delta t$ = 0.005', 'fundamental $\\delta t$ = 0.01',\n", " 'sampling $\\delta$t = 0.005', 'sampling $\\delta$t = 0.01', \n", " 'sampling $\\delta$t = 0.025', 'sampling $\\delta$t = 0.05',\n", " 'sampling $\\delta$t = 0.25'\n", " ]\n", "\n", " df_ts = {label : pd.read_csv(folder + file) for label, file in zip(labels, files)}\n", "\n", " neutrality = pd.DataFrame(columns=['KL', 'NCT'], index=labels)\n", "\n", " for label in labels:\n", " if np.isnan(neutrality['NCT'].loc[label]):\n", " neutrality['KL'].loc[label] = KullbackLeibler_neutrality(df_ts[label])\n", "\n", " norm_ts = df_ts[label].values[:, 1:]\n", " norm_ts /= norm_ts.sum(axis=1, keepdims=True)\n", "\n", " neutrality['NCT'].loc[label] = neutral_covariance_test(norm_ts, ntests=500, method = 'Kolmogorov', seed=56)\n", " \n", " neutrality.to_csv(folder + 'neutrality.csv')\n", "else:\n", " neutrality = pd.read_csv(folder + 'neutrality.csv', index_col=0)\n", "\n", "neutrality" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:58:16.434805Z", "start_time": "2020-02-19T08:58:15.884263Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 864x324 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_neutrality_measures(neutrality, labels)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "check neutrality of multiple copies of the 'Langevin linear' type" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:58:57.735216Z", "start_time": "2020-02-19T08:58:57.694199Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "N = 50\n", "\n", "params = {}\n", "\n", "#steadystate = np.logspace(-3,2,N).reshape([N,1]) # np.ones([N,1])*10\n", "steadystate = np.ones([N,1])\n", "\n", "# no interaction\n", "omega = np.zeros([N, N]); np.fill_diagonal(omega, -1)\n", "#for i in range(len(omega)):\n", "# omega[i] /= experimental_abundance[i]\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", "params['noise'] = 5e-1\n", "\n", "params['noise_linear'] = 1e-1\n", "params['noise_sqrt'] = 1e-2\n", "\n", "def check_neutrality_Langevin_linear(Ncopies):\n", " neutrality = pd.DataFrame(columns=['KL', 'NCT'], index=range(Ncopies))\n", "\n", " for label in range(Ncopies):\n", " print(label)\n", " ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n", " dt = 0.01, tskip=4, T=100.0, seed=int(time.time())).timeseries\n", " \n", " #for i in range(N):\n", " # ts['species_%d' % (i+1)] *= experimental_abundance[i] / ts['species_%d' % (i+1)].mean()\n", " \n", " if np.isnan(neutrality['NCT'].loc[label]):\n", " neutrality['KL'].loc[label] = KullbackLeibler(ts)\n", "\n", " norm_ts = ts.values[:, 1:]\n", " norm_ts /= norm_ts.sum(axis=1, keepdims=True)\n", "\n", " neutrality['NCT'].loc[label] = neutral_covariance_test(norm_ts, ntests=500, method = 'Kolmogorov', seed=56)\n", "\n", " return neutrality\n", " \n", "if new:\n", " Ncopies = 5\n", " \n", " n = check_neutrality_Langevin_linear(Ncopies)\n", " \n", " plot_neutrality_measures(n, range(Ncopies), (8,2.5), 0.6)\n", " plt.show()\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Rescaled model" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T08:59:24.610423Z", "start_time": "2020-02-19T08:59:22.925117Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 216x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 90\n", "\n", "params = {}\n", "\n", "steadystate = np.ones([N,1])\n", "\n", "# interaction\n", "omega = np.zeros([N,N]); np.fill_diagonal(omega, -1)\n", "\n", "params['interaction_matrix'] = omega\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([N, 1])\n", "\n", "# different growth rates determined by the steady state\n", "params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", "params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", "params['noise'] = 1\n", "\n", "params['noise_linear'] = 1e-1\n", "params['noise_sqrt'] = 1e-2\n", "\n", "ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n", " dt = 0.01, tskip=149, T=200.0, seed=int(time.time())).timeseries\n", "\n", "for i in range(N):\n", " ts['species_%d' % (i+1)] *= experimental['steady_state'].iloc[i] / ts['species_%d' % (i+1)].mean()\n", "\n", "ts_plot = PlotTimeseriesComparison([ts], composition=['ts', 'ra'])\n", "\n", "# print(\"Kullback Leibler divergence\", KullbackLeibler(ts))\n", "\n", "norm_ts = ts.values[:, 1:]\n", "norm_ts /= norm_ts.sum(axis=1, keepdims=True)\n", "\n", "# print(\"NCT\", neutral_covariance_test(norm_ts, ntests=500, method = 'Kolmogorov', seed=56))\n", "\n" ] }, { "cell_type": "code", "execution_count": 192, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:09:53.406041Z", "start_time": "2020-02-19T11:09:47.346122Z" } }, "outputs": [ { "data": { "image/png": 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dGZuczNNPP82whASEEPTetIlKWVlcmzSJQ8uXc+DVV7n47bdc/PZbDrz6Ktm//ELnnTsJzsnhwfh4MjIy6L9SGdY5NH4hBQWVyJx1CP8CPbUTrvD77r9xc/kpvhx7ipp7z5Hy3d9p8EcGP829l5o3bpC66B+ENmrElO6/07RpGLMfSmHduiS+7PwdKUl+5My/TtOgKFr8WpOgjH7cXPMr0wYfJTv+J6IfOAzHjzP0779CdjZDwxVX14vN1/Pttwl82mk1hw75Ma/HYpbNPknC6JUsfk/Hwfd+YMboNC6t3Ob6s2iQRN+pVJBDb99V5Htsu+1cOnKZGQ8lcnBNGouf/YmE6UkkTE9i8bM/cXBNGjMeSuTSkcuMbbfd5j2i79xB9vls1o3N5PjmdOYO3cGO/6YSO3kPK175mb0LDxEzYDu6PRlM6pyI/qaeEc1/Uh6PZsr3iOY/ob+pZ1LnRHR7MogZsJ29Cw+x4pWfiZ28hx3/TWXu0B0c35zOurGZHEvO5l7WAz/xFE/xKx0gpfi7oGYEygelDR9dBDyHsgrZLCnlKAvZh1LKiYX7r0kprecZeAx7ho9uWb2a+wcPVloEgYGsGTCAtFatipzj5+dXxFFrb1dHnz59OHfunF1DHnU6Hbt27SItLQ0/Pz+aN2/OiRMnilyXnp7Otm3bkFIihKB79+507drV5tBKU4vC5MsApZvKuo/dkp07d7Jt2zZatGhBWloazZo1K9a1Y4/fQafTsXjx4mJdRyadAXM+AGrVqkVmZmaRwGppaa0KWwQ/M2nSvbzxRirPPdew2AgftfyY8mJdVo5g3fIIDw/n+PHjqvfSho8WT+f55/8gLe0t4Dc+ZzJreIIdXScXaxGMjR/LZ30+czqdijSsszwPH4W/gs0J6+NCiK+BfOCcI4mWBQF165I1ezbZa9eyNySEtPBws0wI4dBQQusRRbm5uYSEhGA0Gku9PjQ0lDp16tCuXTtSUlLMBqFdu3ZFKjlb/d+mLg1Tl0hYWFgRXYxGI+3atQMgJSVF1Zlr6ZQNCAiw2b9vT196aGgokZGRJCUlFTluGlHUqFGjIvno0qVLEaMVGRnJM89E0KNHFlDA7NlZjBrV0SEdLLvFbDnS7aG00UoaJbN7926uXfuc9n//kaO/CbbIXqzq9B9YVXyI6Jtd3/SChhqOUpohmA18jWIEvrQUSCknCSFqFO5f94x6rlFv1CjqjRpFgE5H1dRUALOPwHpyUUmVgNpwy5KGYFoSGBhI5cqVzYbDaDQSEhJit0PT0neRlZVl9iOYRtOkp6erGiWdTkd8fLzZr9GnTx9Vg1dSX7qJiIgIs//EsoWTnJxs/l2tWjWzkbP2mQCMGgWJiYF061bPYR1CQ0Pp06eP2SkfHx9f6jBdUzmY9LAeIRYcHKyFo7CT3bt389FHH7Fp0ybuuSeCGTNgAodhwg82z1+YspAJXSaUsZYajlKaIfgDOITSKvjdWugpAyCE6ASMA3RSyvGu3k+tcrFVSaldb6uiNh0zOS9N51pickZavy074tA03cey26SkFkVwcLB5lJL1229ubm6x+zoyosa6LNLT00lLSzMboWPHjhEQEEBERIRd+XKG3NxchyaG2er2sh7KqhmB0klNTeXRRx/ljTfe4J57FJdh374AfVWv6dtcXabhO5RmCN4GZqEsS/kZMMjTCgFIKfcKId5AWRPZYzhSSdk61/RbrW/dVAE1a9aM1NRUl8awW3cJqbUorFs6ffr0MRsJIUQRA+RsCAnrsihtCKe7KW1CnDXWXXvp6emKQ79Qv5MnT3pEz4rE0aNH6du3L19++SX16v3VkktOhrtIhrvusnld8rlk7mpgW6bhO5Qaa0hKGVO4/66Uckrh/scU9R1IKaVT7T8hxF3AdKvDzwDBwIu2WgQNGzaUISEh5t+mNWAtyc7Oplq1as6oREFBAXl5eQQFBREYGFjiudnZ2dy4ccP8u3r16uZ0TbKgoCDy8vKKyJzR6cqVK2YnaZ06dWzqZksfU/pSSqpXr26X7o7qlpuba25tlKSfZdrOloUpTXv/RqWVXWm6dO/e3SVncf369WWtWrXMv209r+7A1TJVQ6fTMX78eEaOHEmfPn2KpLNvXy16k8C1jh1tXrvv6j461rYtKw1P5aeip+PM81pai+BJIUS/wvP8hRArpZRPYuUvoPjqZXZTGNCu2ApnQogwtWuaNm2KO4POlRbKwNFuB1stglOnTrncD21PN05J+liXibvDNjvSzeTs38eVoHdq9/D0aI5atWpRXkcNHTp0iCFDhjB9+nSeeeaZYunk50MEF0Al3fyT+XS7wzmdKtponrJKxxlKNARSyvtUjv8uhLgbZYF507ANt80lEEKEA1OBO4UQz0kp57rr3tZYV4a2Qhk44z+wlNkblqE07OnKcmQmrbtn3XrCH+CMsbJV6XtCt4pOUlIS/fr145NPPmHw4ME2zzl3DkoaNHjuhs8NKNSwgStLBj0LnAdmoKxb7DaklGnAEHfeUw3r/mOwfzSQiZIqmdDQ0DJ3Rjrq+wBUnd3exlb/viNOdbW5FRolExsby6hRo5g3bx7//Oc/Vc9TRi+3U5c3Updp+A6uGIILQGXACJS7hUgtY9RbVvyWoQxuhdg0vr6ql6uOYVuB6DTUkVLy+eef8/HHH7NhwwY6depU4vmbNsFdbFJ1Fm86sUlzFpcDSjQEQohXgP+TUj4rhJgipXzXQvwtSlTSCcBWD+rodmzNFLYezXOrVBqOvnGXNY52X1nHYQLPj2KqKGRmZjJq1ChOnz7Nrl27uP3220u9ZuRIgJHq8kh1mYbvUFqsoTsA0yrg1a1k/aWUJ6WUL0sp17pfNc9ha6aw5XDCWwlTxWkKte2Ls2tDQ0Pt/vuYDEf79u19Pl++RGJiIu3ataNRo0b8/PPPdhkBgA8+MG1U5DvVZRq+Q2ldQxKoIoT4P5QIo5bcV7hyWRaAlHKWB/TzCI52N1Rk3O0w9gVsheaoCPnyBNeuXWPChAnEx8czc+ZM+vfv79D1n30GyhQjFbmTcYY0ypbSDMEnwBiU0UHWQUM+tth3evioNyiLys96SKovU1FH1FTUfLmDP//8k5iYGP7zn/8wcOBADh06RI0aNRy+z9Ch8A1D4RvbUUa1MNTlg9IMQQ2gJkpFb/2UdJFSfgAghJhGOVuz2JOVhK2F2jU0fIGLFy8yZ84cZs2aRZcuXdi5cyetrKLyOoJS/6tX9JoRKB+U5iOIBt5AGdNvbhEIIVYBQ4QQK4UQK1F8CRqFWPsg8vLyvK2Sxi1MXl4eP/zwA1FRUbRs2RKdTsfmzZtZvXq1S0YAlBaBslGRf68u0/AdSmsRnABuALnAcdNBKWWUEKKLlHKXJ5Urr1j7IIKCgrytksYthMFg4NChQ/z000/Ex8ezfft2IiMjGTJkCHPmzKF27dpuS0trEVQMSjMEPYCeKC2HAosQEwC9gV0AQojJUsr3Padm+cLaB6EFNdPwBHl5eZw9e5aTJ09y4sQJEhISeOutt0hNTaVhw4Z06dKFQYMG8fXXX1O3bl2P6BAdDbOJhtmzbcvjopndz7ZMw3coLcTEI0KIOwv3D1mJa1ns13G3YuUdSx+EZghubYxGI5cvX8ZgMGAwGNDr9RQUFBT55OXlcfPmTW7evGkO4GcKCnj9+nWuXbvGtWvXuHz5MhcvXuT8+fNcvXqVRo0acccdd3DHHXfQuHFjXnzxRSIiIjxW8Vvz8cdQdNyIlby3ukzDdyhtQtkXwOXC/eellC9biP8QQixGmVl82HMqamiUb06dOkXLli3x9/cnICAAf39/AgMDzZ+goCAqVapE5cqVCQoKIjg4mKpVq1K1alWqV69O9erVadWqFbVq1aJevXrUr1+fBg0a0KBBA/z9/c3peCOo2SefwFQ+galTbct//oSp3WzLNHyH0rqG9KbZxEKIGVayT4EmwDWU5So1NDRs0Lx58zKJPuoNlFh0tgPSAQy+S12m4TuUNmooQAgxVQgxFahiJfsceFtKmQ381yPaaWho+DTbtpk2KvJ0dZmG71Caj+CVEnwEBv5avjLLnUoJIUYDnYBGwBQpZYo776+hoeEelNGn6kNQW9V1bXiqRtmgaggK5wpIlBXIEEJIixFDoAScay2EeJGijmOXkVLOB+YLIdoCjwCaIdDQ8EEyMwEy1eU31WUavkOJS1WaTyq0AlbH/IFeKIYiQUppsHlx6fdWW6ryKjAPeEtKqbMUenqpSnfjK7r4ih5QvnS51ZeqLCmdrVvrMZAVXOrRw+a5Wy9upUd92zJH0vEkFS0dp55XKaXNDzC+8PtZYD3wkZV8GLACWAMMVbuPMx8gEJgLRNiSt2/fXpbGtm3bSj2nrPAVXXxFDynLly7AfunC8xweHu4hzYtSVmVqmc6ePaaNbfacUZc5ko4nqWjpOPO8luQsvq3wu5OU8hGKO4ubSSkHSikHAJ0dsj6l8xEQDkQLIaLcfG8NDQ03sXu3aaMiP6Mu0/AdSnIWNxJCPIiyEpmtc2sIIe41HRdCtJFSumU+gZTyNXfcR0NDw7M89hjAY+ryVuoyDd+hpBbBVKA18GHh7x+t5NdRfATdgIvAE+5WTkNDw7eZNcu0UZHvKzfLlNzSqLYICt/uD1v8/sHqlFVSysNCiOHAcSnlLx7SUUNDw0d5912Ad9XlPdRlGr5DaRPKSmK4EOLvwO0oDmUNDY1bjNGjTRsVeay6TMN3cMUQ/A14HliAEmbCp1i/fr23VTDjK7r4ih5wa+mSleXW+ZaqlFWZWqazaJFpY5tF/1SXOZKOJ6lo6QAORxx0xRBMA5ZIKc+gDC/1KeLi4rytghlf0cVX9IBbS5fMzJInVVlXEGq/bX1b7peWD0+kM2yYaWP7vsPWDitX+fHVdGztq6UD1CsxIRs4bQiklEellHsK9xOdvY+Gxq2Ouyoab6SzdKlpY/u+Sx9bWq7y46vpOGgIHMaumcW+hhDiEn/FOVKjLoUhtH0AX9HFV/SA8qXL36SUDr9lmRBC3ABKCj8aQtF4XWq/bX1jsR9IyfnQ0im/6djaV0unoZSyegnpFKNcGgINDQ0NDffhio9AQ0NDQ6MCoBkCDQ0NjVsczRBoaGho3OJohkBDQ0PjFqe0NYt9kho1asigoCBq1qyJ5boEluTk5FC1atUy1sw2vqKLr+gB5UuXpKSky66MGqpataoMDg4u8Xl1B2VVppbp5ORAVXJAJd2cghyqBjqnkzfy46vpZGdnc+rUKWrXrk2TJk0QQqie69Tz6mjcal/4NG/eXD777LMyNjZWNSZ3eYp3X1b4ih5Sli9dcHE9gsaNG5f6vLoDb8TV/+IL08Y2X+xWlzmSjifx5XQMBoP84IMPZIMGDeSGDRvsusaZ57VctghCQkKYO3eut9XQ0LCLatWqVdjnVQtD7TkuXrzI8OHDycnJYf/+/TRt2tRjaVU4H0F2djavvvoqUVFRVK5cmfDwcL766itvq6WhUYT09HSEEAghqFy5MqGhoQwZMoTTp097WzWH0MJQe4bt27fTrl072rVrx7Zt2zxqBKCcGoKsrCyee+65YtOppZT069ePL774grCwMP773/8SFRXFvn37vKSphobycmLreQVo27YtX331FT169GDZsmXce++9XLx40QtaOse775o2KnItDLVDGAwG3nvvPQYOHMj8+fP54IMPCAjwfMdNheoa2rp1K9u3b6dNmzZ89NFH9ChcUNtoNJa1ihoaZkrqGmrcuDEjRoxgxIgRBAUFMW/ePObMmcOUKVPKWEvnGD0aFjFaNQLp6NjRLkUgvZW4ePEiQ4cOJS8vj6SkJJo0aVJmaZfLFoEaSUlJAPTq1Qs/v7+yZrmvoeGr9O3bF4DU1FQva2I/ngxDfSuxbds22rZtS6dOnfjf//5XpkYAyqkhUOsaMlHS0CoNjbKmpK4hS2Rh3K/y9PzaCkNdRL5WXaahdAW98847DBkyhEWLFvHee++VSVeQNRWqa6hDhw4AbN68mUceecR83Gg0aq0CDa9h76ihH39UlgX/+9//7mmV3IYSgXqpuvwxddmtzvnz5xkyZAhGo5H9+/fTuHFjr+lSoWrH7t27061bNw4dOsTEiRP57OmnGUHw0noAACAASURBVNu6NU936+Zt1TQ0bJKRkcGiRYsYOXIk8+bNo2HDhjz33HPeVstuRowwbVTk69Rltxx6Pdx/P9Sowf/uuot2kZF07dqVLVu2eNUIQAUzBEII1q9fz8svv8ypEyd4Y8kSYo8epdOuXVxasMDb6mloFOPAgQM8//zzbNmyhcGDB/PLL7/QoEEDb6tlN/PnmzYq8v7qsluOkycx/PwzU2/cYNhvv7G0Xj3efvtt/P39va2Za4ZACOGxriUhxCQhxCBHr6tWrRpffPEF3338MfnASeAloxG/+fNhxQrYuxdiYkCng0mTFCtteqMx9XWOGKEcnzRJOS8mRrluxQqIjYUdO2DuXDh+HKZNg+xsiI5Wrh06tOj32LEEZmbCjBlw8CAsXgwJCcpn8WLl2IwZcOkSjB1r+x7R0Uoa06Ypac6dq+gQG+tQnoTB4LY8cemSS3lq8dlnbsmTO/9OqnlyET+TjhZ5CJsyRZnV+fTT5OXkoBs6lG+mTycsNtbpPNwxc6bLfxd7nrUma9aY/y5TJhuhbVvVv8uUH17x+rNWWp6qHzlSJs9a7Zkz6Wkw8BOQDPzj99LW1ipDHJ2KbPoA7wLfFO5/5uC1zVAWvV9d+LsqsBiYBwwB7gf6AYNsXd++fftSp1lvXrVK5gUGSgkyLzBQXpw/367p2Z7AV8Ip+IoeUpYvXXAxxER4eLiHNC+KN0Il/PGHaWObPzLVZY6k40nKIp2EhARZJyRETvPzk3qQMiBAyq5dPZKWM8+r0yuUCSE+B65KKd8RQsyQUk5w4h6rpZRPCCGGAZlSyvVCiBXAHqAmUENK+ar1dQ0bNpSWwbv69etXxDkMykiNyjdvIrOyECEhBNSt66h6biM7O5tq1ap5LX1f0wPKly7du3dPklJ2cPb+9evXl7Vq1TL/tvW8uoOyKlPLdNasacLLxHB2wACb5645s4YBTW3LHEnHk3gyHYPBwKJFi4iPj+fVV16hS716NImP52yfPnDHHeCBEUJOPa+OWg7TB/gMmI3y5r7EyXuYWgSTgMjC/WWF32GotAi0oHPO4St6SFm+dEELOqeazp49po1t9pxRlzmSjifxVDpnzpyR999/v+zZs6c8f/78X+mUUF7uwJnn1RUfwVQgFQgFXnDhPgBnAFMwDT8AKWW6lHK5i/cFQKfTsXPnTnQ6nTtup6GhUcjp06aNivxa+Yqd5C7i4+Pp0KEDvXr1Ij4+vugAAB+MJ+VKu+SfUsqvAIQQTwHf2XuhEKIO8D7QVggxCYgBvhRCPAyUPOvGQXQ6HUuWLMFgMODv78/w4cMJDQ11ZxIaGrcsVaoAVFGXB6rLKiJ6vZ4pU6awdOlSli9fzgMPPFD8pCq+VyauGIK7LPb/jgOGQEp5BfiX1eGRLuiiSnp6OgaDASklBoOB9PR0zRBoaLiJmjVBceepyCuryyoaZ86c4amnniI4OJjk5GTq169v+8SavlcmrnQN1RBCjBJCPAPUdpdC9mCaWWyPwy0sLAx/f3+EEPj7+xMWFuZ5BTU0LDDNLPaEg9jbHD1q2qjIL6vLKhKbNm2iQ4cO9OnTh02bNqkbASixvLyFK4ZgDJABnCvcLzNKizVkSWhoKMOHD6ddu3ZERESUgXYaGkWxN9ZQeaR7d9NGRR6mLqsIFBQUMHHiRJ577jlWrlzJ5MmTSw9nU0J5eQtXuoa6A48CQUAU8IxbNLIDZ1YoS01NxWAwkJKSQmRkJI0aNSI3N5ewsDCtq0jDo1TkFcqWLYOpLIOpU23LDy5jajfbsvKOTqdj0KBB1KhRg+TkZOrVs3OZ4GXq5eUtXGkR/BMYj9LXH+0edezDkRYBFPcTJCUlERcXx7Zt21iyZIk2mkjDo1TkFsG4caaNivxedVl5ZsOGDXTs2JH+/fuzYcMG+40AlFhe3sKVFsFZlOECZb7qi6MtApOfQK/XFzkupUSv17Nr1y6aNGlCcHCw1krQcDsVuUXw+uswm9dh9mzb8oTXmd3Ptqw8UlBQwJtvvsmKFStYvXo19913n+M3eV29vLyFK4YgHPgIEICkDLuGTC2CRx55xC4HnMlPkJqaSkpKCgaDoYj82LFjHDt2DFAC1/n5+REZGUlERIRmEDRcxtQisPd5LU8o9Zl6pVaRjMAff/zBoEGDqFWrFsnJydR1NlqBjxkBcMEQSClHCiHqAcEohqDMcMZHEBoaSmhoKBEREaSnp5ORkcFRG957y+6j1NRUbd6BhstU5BbB0KHwDUPhm29sy78fyjeP25aVJ9avX8/o0aMZN24c48ePd219k6Hq5eUtnDYEQoiPgXuA40ALoKu7lPIkJoOg0+k4ceJEse4iS7R5BxoaJaPUZ+qVWnk3Avn5+UyaNInVq1ezdu1a7r33Xtdv6mNGAFzrGvIDEqWUU4QQvuf9KAVTd1F6errZNxAcHMy5c+fM3UdCCPLy8ti5c6fmP9DQsEFFbhGkp6czcOBAGjRoQHJyMnXq1HHPjStSiwA4BfgLIRZQ0hxzD+Coj0ANU+vAmkaNGrFx40aMRiO7du0yHzdNStO6izQcoSL7CCpqi2DdunU8//zzTJgwgddee82960j7mBEA13wEMwGEELWATLdpZAfO+AgcITc317yQuCVamAoNZ6jIPoKxY+EzxsJnn9mWx4/lsz62Zb5Ifn4+EyZMYN26dcTGxnL33Xe7P5Gx6uXlLZwyBEKIVUAToADIB0KATm7Uy6uoDTc1jSjKyspCp9NpxkDjlufNNwHeVJd3VZf5GqdOnWLgwIE0adKEAwcOYLmGhFt50/fKxClDIKWMEkK8J6X8N4AQotjiMa4ghLgbeAC4KKVc5M5720Np/oOkpCQOHDhA586dCQoK0vwHGrcsCxfCBBbCBNvrUi1MWciELg6vWVXmfP/99/zrX/9i8uTJvPzyy+7tCrJmoXp5eQtXfATNhRAPoLQIWjtyoRCiGTAZCJHKCmVVgVmF90qUUn4rhHgMuOiCfi5hy3+wc+dO8xwEW/4DPz8/mjdvTrVq1bQ5CBq3BH37AvRVlzdXl/kCeXl5xMTEcODAAeLi4ujUqQw6Nvr6Xpm4YgheAgYW7k925EIp5SlglBBideGhx1FWKzMtVfmtlHKiEOIlF/RzO2FhYfj5+WE0Fp9MbfIfmCamHThwgLZt29KoUSOysrKIi4vT4htpVDiSk+EukuGuu2zLzyVzVwPbMm9z8uRJBg4cSHBwMAcOHKBmWYWHTlYvL2/hyprF/4eyTGUQIKWU7zhxD9OaxZOATVLKFCHEMmA50A44J6WcY31drVq1pJSSqlWrUq1aNdU1iz2xDmlubi5ZWVkOXRMUFEReXl6RY8HBwQQGBmI0GgkKCiIwMNCdatqkPK0TXJZ4es3imjVrSqDE59UdeGON3337atGbBK517Gjz3H1X99Gxtm2ZI+m4m+3bt/P5558zbNgwevXqRfXq1T2SjiWm/NTat0+1vNyBM8+rKy2C14BPURzGrmJaqjIF8JNSxgKxaifXrVuX7t27lzgcLzExkW7durlBteLodDqb/oMDBw7YbC2Eh4eTlpamej8/Pz+zv8GTrQVPlomj3Eq6VK1alYcfftjjw0fLqkwt08nPhwgugEq6+Sfz6XaHczp5Ij83b95k3LhxxMfHs3nzZjp06FD25Zafr1pe3sIVQ/CblPI3Zy50dalKTw8fLQ21+QcRERGkpqaSnZ3NiRMnisU0UsPkb9DiHFVMKvLw0XPnQFmSREV+Q11W1pw4cYKoqCiaN29OcnIyISEh3lHknO+UiQmX1iMQQnQD8lC6hp6090JXl6p014Qyd2NpICxbDWfOnKF9+/Y0atSoyMxlayzjHKWkpJgdz5pvoXxTkSeUtWsHSi+uiryRuqwsWb58OS+99BJvv/02Y8aM8eyooNJo5xtlYokrE8oq1hPtZiyNwo0bN4o0PU2B7/Ly8vjll19sdidZOp6haFRUzTBo+AqbNsFdbFJ1fm46scmrzuI///yTsWPHsmXLFn788Ufa+UIlvEm9vLyFK0HnvkOJOloNuE1KGek2rSo4lkaiZcuW5paDva0FE5a+BW0ug4Y3GDkSSmrMj4y0u6HvdtLS0njyySdp2bIlSUlJ3usKsmak98pEDVdaBE+Z9t09oaw0vO0jcCfW/gaTn0HN8WyJFgupfFCRfQQffACf8YFqyIQPdn7glRATy5Yt45VXXuHdd9/l+eef925XkDUfqJeXt3ClRWBasD4QcHponTP4qo/AHVium5CamgpQqm/BxBF5hJP6k1z78RqPtny0yKim3NxcCgrcMcBLw1Eqso9Aqc/UK7WyMgIXsi8QtSqKA7oDVPtfNYLPBrN582YiI32wo8LHjAC45iw+hNI1lAeU6etORWoRqGFrZFJJvoWjHGUNayiggJSzKZw9e5ZWtCpyfXh4OFu2bCnSlWTqkgLMvgetm8m9VOQWga+EoY5aFcXPyT9jWGkgp0EO97x2j28aAfDJMNSuLF4fALwAvAq4YbUGjdIIDQ2la9eu9OzZkxEjRtCjRw/69etHjx49uFbzGgWFUzoKKGA/+/mN3zjDGXazmyyyWH5pOTt27eClrS8RFxfHi1tfJC4ujn8n/Zu9SXt5Ne5V1m5dy7/j/s3SrUsZv3A84+eP58PvPmTy95NZ9uMynv/ueX7c9iPDVgwDlH90y++x8WO5lHOJGbtmcPDCQRanLCbhZAIJJxNYnLKYgxcOMmPXDDLzMxkbP9bmPaLjosnOz2Za4jSOXznO3KS57Ph9B7HHYlnx2wr2nt1LzJ4YdFk6Jm2ZhN6oZ8S6EQAMW6voNWLdCPRGPZO2TEKXpSNmTwx7z+5lxW8riD0Wy47fdzA3aS7HrxxncfpisvOziY6LtqmPq+il3i16TkucVqKeM0/MtKvsL+Vccqns15xZYy77RUv0jHgiQDVP0/8x3aU82fs87d20F8PXBrgb5OOS37KcGtleNviYEQDXZhYvBEahrFk8T0pZZmsWt2jRQnpzQpmjlIUuC3YtIHpLNAUUEEggAxhgs0VQ0sQ2R3DVUV2e/j5CCJdmFjdp0kRW1AllnmwR2JOf3NxcXnrpJb7b8B35j+djaGAgQATQObQzO0bucFs67sCcjodbBM48r86GoQ5GmQ3cBKV7KMOZ+zjLrdA15CijuowCYMORDdzX6D461uhorqBNXUnupLSge9bdTJZdUGlprQgJKSA5+QQdO56r8F1QFblryBsL01y4AFFRkJR0BIjioYfa8lvKb4zYNIKU8ylENoxkVdQqt6frNnywReCsj2AmigGYBlQC/N2mkYbTjOoyymwQrGnZsiWpqan069dPtYK2rLxLCplhC+uge2ocPRrOmjW3MX36GSZNuo0BA/bRpk2iNgy2nBIdDbOJhtmzbcvjopndz7bMWaKiYNeuxRiN4/Hz+5Dz55+hWUPBjpE7PJJeSVy4cIGrV6/adW5ISAhHjhyBK1fAXcteWlC7dm0aNGjg1LXOGoJo4AngESAcGObkfZyiIo8a8hShoaGcPHmS9u3b232N9cgly9aFvQbCmpMnm1FQUInduxtRUFCJ/fvbodcH8scfpzlzpimtW+9n376O9Oq1lIMHX2HVqqoMGwZLl8KIETB/PkyZAmPGwNq1cM89cPo0VKkCNWvC0aPQvTssWwbjxsHrryt1lKk1bvoeO1ZZH2ThQqhbtyq//w6NGik6njunTP7ctMk9Q76zsv4kMnITb79tYN26fixahEfyNHPmHdx5p5Knvn2VIJdqeTKNYLS+R3Q0fPwxfPIJDB4M27ZBq1aQmQl//gm33w5r1jThjjtg1iyYPh1GvBDDImzn6ZXR/yEmxrk8jR5d9O/Uty/88ksOP//8IkbjbmAbRuP/UfiIAvBx749d/4M5wNWrVwkPD8ffv/R34Rs3bijB7QwGsON8RzAYDKSlpTltCJzyEQgh0oF/A98BX0opo51K3Uk6dOgg9+/fX+I55akPurzp4WjQPUuUFsEApk//mUmT7mXAgDW0amXbb9G4cWMaNWpUYjeTIzK1VoanfQQtW7aUpbWU3IE3fATTpsFUpsHUqTbPnZY4jandbMscSQfg0KFDPPnkk1y+3IErV2ZiMFQjIAA6d4YdO5xPz5VyO3LkCK1b27cci9kQZGRA48ZOpWePLmXmIwAeA54GegMNhRBBUsq8Uq7RqCCUFnQP1Cvo9u2hY8c/CAkp4N//PowQJ1CzHRkZGWRkuM/9ZMvBHRwcTHZ2trb0qJMMHgwwWF1+l7rMXqSULFy4kDfeeIOPP/6Yvn1HEBWltHjatYNVFu4Ad6TncWrX9rYGxXB2qcoDwAEhRBBKF9G3hd8atzBqBsIWiYlnGDUqEp2uTrHWxeHDhzl16pTb9bN2cJsIDw9nyZIl2oxsJ9i2DVqwDVq0sC1P30aLOrZl9pCdnc2YMWNISkoiMTGRO++8E1BaAHPnwnPPuTe9MuHGDcZOmsT48eOpW7cuo0ePZunSpXZdWlBQwODBg5k7dy5jxowhJiaGevXquaySKxPKKGwFfFv4cRuF4ag7ACellL7nYtdwG7aMR/369fn999/tDuPtDgwGA+np6ZohcJBWrQCrYcpF5HXVZaVx6tQpoqOjueeee9i7dy9Vq1a1kbb70nMVtTAWxbrfK1fmhRdeYO7cuTRr1oxBgwYVEb/zzjtFHNB9+vShT58+AAQGBvL+++9z33338emnn7rFCICLhsBZ7FyzeDswpqT7aFRMQkNDefrpp0vtZrJXZo+D29/fn7CwMI/nraKRmQmQqS6/qS5TQ0rJggULGD9+PDExMQwfPryEtF1Pz13Y7W81GGjevDkZGRkcOXKE5cuXW4kN6PV682/r5/b8+fPUq1ePa9euuayzCacnlLkl8b+WqhwGZFqsWfwUMBX4TEpZ7C/bsGFDaRlJsCyXqnQGX9HFV/SAsteloKCAvLw885rTlt8FBQXmpUNt4epSlfXr15e1atUy/65IS1Vu3VqPgazgUo8eNs/denErPerbltkiNzeXTz/9lFOnTvH666+X6IjdurUePXpccik9cK3cQkJCaN68uV3nGgwG/P39Cbh+HX2NGqxevZrz58/z4osv2p1eVlYWr7zyCvPnz+fll19m4sSJ3HbbbYCy8E5WVpZzz6uU0msflAXrASYBkYX7y4ApKKuWPWTruubNm8tnn31WxsbGSjW2bdumKitrfEUXX9FDyvKlC7BfuvCcN27cuNTn1R2UVZlaprNnj2ljmz1n1GXWpKSkyPDwcDl69GiZk5NTan5sJetIeiZcKbfDhw/bfe7169eVnexs+dNPP8moqKi/jrkBky7OPK+uxBpyJ6Y1i0FZs/hdKeXLUsqN3lRKQ0OjZHbvNm1U5GfUZSaklMyZM4eePXvy1ltvMW/ePIKDg+1L24n0vE52Nl26dGHlypXKcFIfwCuGQAhRRwjxFX+tWfw9MEAIMRs71iy2h/Xr3XIbt+AruviKHnBr6ZKTk+PR+5soqzK1TOexx0wb2zzWSl0GcP36dQYPHszMmTP56aefGDJkiM10bN7bxq1LS88WrpabvYMaMk1ODYtuQndhpUNdR6/3iiGQUl6RUv5LSnmHlHK6lDJHSjlSShktpXTLCKS4uDh33MYt+IouvqIH3Fq65Obmlii3rojUftv6ttwvLR+eSGfWLNPG9n1n7Zulms4XX3xB+/btuXbtGnv27CEtLc2h/Iwde7zYfWftm1Xkt6P5sUVJ5Va7dm1SUlI4cuQISUlJxb4t948dO8aRI0c4sn+/8m31MZ1r67etfcvvlJQUateubdLN8aFEjvYl+cKnffv2pfaXhYeHl3pOWeEruviKHlKWL11w0UcQFBRU4v2fffZZu37b+rbcLy0fnkinoMC0sX3fAkNBsXRGjx4tZ82aJStXriyXLVvmdH5GjXq+WLoFhoIivx3Njy3cXm5W5WVPOrb21dIBcqSDz6hXRw05ixAiC2WoaSaQpXJaXeBymSlVMr6ii6/oAeVLl79JKZ0esC2E+BPIRv15DbE6rvbb1jcW+4GUnA8tnfKbjq19tXQaSikdcj6US0OgoaGhoeE+fGXUkIaGhoaGl9AMgYaGhsYtjmYINDQ0NG5xNEOgoaGhcYvjlaBzrlK3bl1ZWoCwnJycYtEKvYWv6OIrekD50iUpKemyK6OGatasKe2NR+MKZVWmlumcPQtNOAtNmtg89+z1szSpYVvmSDrupKBA0TsrS1kfpkqVHKpVq8qNvBvoruvwE36E1gilaiX3pu2W/OTmgk4Hej2EhkKNGsVOcep5dXS8qS987JlHUJ5i2ZQVvqKHlOVLF1ycR1BWcya8EWvI1jwCSyzH9buSji2eftrGsbU2DhaSnS3l1KlS1q4t5cSJUmZlKccXb1gsH1n2iLz989vlqkOrpNFodFblEjHnx5bipaHTSTl8uJQNG0o5Z06JZe7M86p1DWloaDjN6NGmjYo8Vl3mKvPn2zjWv/hBg0FZ87hlS0hLg6QkZa3l/IDLvLTxJV5OeZkH/vYAR144whNtnlBdV8CjiquRnQ1vvQUREdC0qZKB556DAPd25lQ4Q5Ceno4Qgu7duyOEQAhBzZo1va2WhoZNTM+r5ac8Pa+LFpk2KvJ/qstcZcoUG8e2Fj24dSt06KDUvWvWwLJl0KhpHv/5+T+0nqmEuF7ccTHj7h1HUECQx3QtqqQNxa0xGGDBAsV6nToFBw7A+++Dh4LUlUsfgT20aNGCd955B4BKlSp5WRsNjZJp27YtEyZMAMrX8zpsGCxlGKgstThs7TCWPmbfMoyOMsbGslVjOioHjx2D11+H336Djz6CJ54AkKw6tJqJ/5vInfXuZOfInbSq24rExESP6KeKLcUt2bIFxo1T+v/XrYOOHT2ukkuGQAjxKdAQEICUUvrMytEhISH07NkTQHXBEQ0NX6FevXrl8nlV6n/1it5TRgBg7Vp4+WWr9HZv4lzccyxfDhMnKgvbBwXBnjN7eC3hNXILcpn3yDx63O7Y4jVuxZbiAEeOKNbr6FGYMUMJr+rpbqpCXO0aOielHCylfMqXjADA/v37qVevHvXq1ePRRx/1tjoaGiWSkJBQLp/XESNMGxX5OnWZq9xzz1/7eXnwn//Ax4NHAkqdOm4cnP/zdwavGcyAlQMY3XY0+5/d710jAEUVB7h0CV54Ae6/H/7xDzh8GB5/vMyMALjeNXRfoWMlB0BKOavk0+1DCHE/0BnIkFI69UrRunVrYmJiAKjlgfjfGhru5O677+a9994Dytfzqvg91Z2ftpy37uL0aaXXZPVqeOMNuOsueGvRZsY+8hDX864zact05ibP5aVOLzHvkXluHw7qNKdPQ6dOcPMmxMQob/9DhyotgTp1vKKSq4bgU8AUtc5u81Xa4vVAEynlR0KIN5xVzLJrSEPD16lbt265fF6nTIHpTFGG4diSb53C9J62Za4QGwtffAFvvw2VKysGKbtJLLP3zyZtw3rWHlnLQy0e4td//er0PAaPEBsLixfDvn2K9zoyEn7+GcLDvaqWq4bgJvACijGYbe9FUspTwCghxOrCQ4+jrF9sWrw+yUW9uHLlCsuXLzf/HjBgQLnqe9XQKA8ofk9156fJeetO5s+Hf/1LGVhTqRIsXw43Gv/AwFUDyTPk4Sf8+KT3J7x6z6tuT9slsrJg4EClHys+Ht59FyZP9rZWgIthqIUQi4DnUFoDs6SUoxy8fnVhi2ASsElKmSKEWAZ8BdwLnLXVNdSwYUMZEhJi/t2vXz8eeeQRAM6fP89TTz1VLK3169dTrVo1R9RzG9nZ2V5L2xf1gPKlS/fu3ZOklB2cvX9QUJC0HJtes2ZNTM9vQUEBp0+fpmrVqjRRmZ1rL0ajET8/z48It0zn2rVKNOAC+SrdWdcKrlEr0LmuLuv8GI2Cq1crkZkZSNWqBfj5GalevQCjfx5XDRfQG/UE+QVRK7AWAX4BVPK3b/RVWZSbX0EBlS5eJODmTfRBQdysVQsCAxVL5mbS0tIcf14dnYFm+QEWoSy2UAn42onrVxd+DwP6Fe4vL+06bWaxc/iKHlKWL13QZharprNnj2ljmz1n1GX2plNQIOXs2VI2aCDlyJFSfv21lMHBUlLtnPR/bLQMea++fDb2WVnlvSqSt5HB7wfLH47+4HA6HiEzU8oJE6SsXVueeuopKatUkRKUDPxgv46O4Mzz6mrX0GxgYeH+l/ZeJISoA7zPX4vXxwBfCiEexk2L12toaHie06ehE4XOT1vya6fp1MS2rDSkhI0blRGVDRoovSmRkZBbkMv/Cj5jzdnP6NNwJAtHHqNm5Zr0C+9HwskEet/Rm/4t+7uSLdcpKIC5c5Xun4cfht9+4/djx7h90CBISIDevaG/l3W0wGlDIIS4HbgBmDxBdvcxSSmvAP+yOjzSWV00NDS8Q5UqAFXU5YHqspL49VeYMOHv3LgBH38M/fqBxMjS1G+ZvHUydze9m0NRe2lWq5n5mv4t+3vfAJis1/jxSiC+H39UwkOAMsutf3+fMgAmXGkR9AYa8NdoIQm847JGGhoa5QYlGoZ6SIyalR0Ll3H+vDISKTYWBg26zH/+U5vAQNjx+w5e+/E1AvwC+G7Ad3S5rYtrinuC1FRl8sLZs8qkhoceKtO5AK7gtIdESjkHOCGlnCalnAb87j61NDQ0ygNHj5o2KvLL6jJLcnPhvffg//4PatVSXp4feyyD9OvHeXzF4wxfO5zx947nl1G/+J4RyMiAUaPgwQeViWC//qp0B5UTIwCudQ29APQVQtREaRX8A1jsLsU0NDR8n+7dAbqry8PUZQBGI3z7Lbz5Jtx7rzK8/vbb4eqfV5l5Yibb9m5j/L3j+fbxb53uZvIYOTnwySfKpLDRoxXrZTGasTzhypip34BfgEPAr0C0WzTS0NAoNyxbZtqoyA+qy7ZvV3zMM2fCihXKwPR3wgAAIABJREFUp8lt+Xy++3NafdmKfJnP4RcOM/G+ib5lBIxGZVJYq1ZKOIh9++DDD8utEQAXWgRSyu1CiL9JKbcDCCGeAr5zm2YaGho+z7hxAOPU5fcWlx0/DhMmKJGVP/xQmWMFkrVH1jFhywTC64STOCKRi4cuUr9qfU+p7hyJiUqmK1WClSuhc2dva+QWXJ1FcZfF/t9dvJeGhsvodDp27tyJTqdzSq7hGK+/btqoyBP+kl29Cq++qtSdd9+tuBYGDYKkc/t5YNEDTE2cyqyHZrFh8Aba1GtTBto7wLFj8OijMHKkYsV+/rnCGAFwPcREDSHEKJQRQ7XdoI+GhtPodDqWLFmCwWDA39+f4cOHExoaik6nIz09neDgYOLj44vJNZxn9mwoKbrM7H6zyc+HWbPggw+UdQEOH4b69UGXpePNTW/yv1P/Y1q3aTzT9hn8/fzLTHe7uHIF3nlHcWRMmKD0X1Wu7G2t3I6rhmAMyjBS076GhlOYKuuwsDDVytnWOZbH0tPTMRgMSCkxGAykp6cDmI2DEMI8k9Ik1wyBawwdCt8wFL75pphMSug28XMyvn+VFi2UXpU2beBG3g3+vfUjZu+fzZgOYzj24jGqB3lm5S2nycuDL79U+q6iopS41vUcWw++POGqIegA9AOCgSjgGZc10qiwWFbalsdSU1NJSUnBaDSa39QBUlNTAYgonJBj/bZveczPz4/mzZvj5+dnvo+1cZBSmmPKmOQ6nY7s7Gx0Op1mFJxAqf+LG4H9++G11yAz81VmzYJevcBgNDAv6WumJk7lH83+QcrzKYSG+FiZSwnff6+8/bduDTt2KN8VHFcNwbPAeeAj4GnX1dGoqFh323Tq1Ml8TK/Xm8/T6/XEx8dz/vx5jEYjACkpKURGRpordL1eT2JiIrVq1SrSAjh27Bj+/v60a9eOiIgIc8Xu7+9vTrdPnz7k5uYSHBxsNkB33HEHS5Ys0bqKnMC6RaDTKUNB//c/pUdla8gwevVayuaTmxmXMI5aVWoR+1QsHRo7HcPPc+zdq1ivGzdgzhwoh2HBncVVQ3ABqAwYAR9z7996LNi1gA1HNvBw64cZ1cWhQLCq2NNlYw/W3TZ5eXmkpqYWMQImMjIyivw2GAyAUqGbzj99+jS///47fn5+ZjkokSRDQkLMuoaGhjJ8+HBz66J+feUxtTZAWleRc5haBDduKGsDz56thKbemXSRkfFPkHQ8idofbSCkcgif9v6Uf7b6J8LHJloFXbgAQ4YofVfvvgtPPw3+Puar8DCuGoJvgTxgArDVdXU0nGXBrgVEb4mmgALizsYBlGgM7Kngk5KS2Lhxo7lLJTIyssibdkn3DQ4OJjc313z/4OBgcwVw7FhLGjUKJDEx07weh5+fHw0bNuTcuXOmyLRm/P39iYiIICIigsTERE6fPm02KC1btqRatWpFupYsu55MpKamYjAYSE1NJSIioojxMKVh6zoN21y4oHSd794NI4NX8EPlgfTuDSkpEBoK98zvz96ze5FIbhbcpE29NjzW+jFvq12U69fhww/pMHOmMpxpzhzwkdDoZY2rw0f7SylPSilfllKudYtGGk6x4cgGCigAoIAC5ifPZ+b2mczZMIdp8dPQZemYd2oeeqOeqG+jWLJkCS9ufZElS5YQ9W0UeqOeSVsmocvSMS1+Gp+u+JSP4j7isPEwp+Vp9hj2kJCUwNMLn2bVD6sYtmIYOp2O3l/1RqfTMfT7oeh0OgYtHMT6reuZGDeR5VuX8+rCV3lzwZv8d+N/STYms/tUZZbrTpKR9SfLr+3i6NFw1rCGtm3bsqnKJvz9/YkjDr2fnoN1DtLozkYE3B3AaeNpDuQe4Ppt18kQGexmN1lkMSttFnfedSept6fSvXt3kv6WRGhoKCPWjTDnac/RPezS70IndaTqU9mTuYc//P4giSQy/TKJvR7LgKcG8EHqBwAM/X5okW9X0UtFD71Rb17Dd9jaYQBF9NRl6YjZE8Pes3tZ8dsKYo/FsuP3HcxNmsvxK8eZljiN7PxsouOibeo588RMLuVcYsauGRy8cJDFKYtJOJlAwskEFqcs5uCFg8zYNYNLOZcYGz/W5j2i46LJzs9mWuI0jl85ztykuez4fQexx2JZ8dsK9p7dy5oza+g/VMfOnK8pKJDMC7iLRo1APjaMeo1u0n5ue/ac3YMsjENpxMivF351S1m6Bb1eqfRbtoSzZ9k/fz5Mm3bLGgFwz5rFk4AscN+axRqO83Drh4k7G0cBBQQSSFSzKDJ/ysRgMBDgHwB3wrPNnuXc2XP0N/bntOE0j/M4BoOBl297mQC/AMa0HEPqzlT8U/y5YbjBndxpvn8YYQA8IB/gcMphWogWLEpbxH3yPpYsWcL04dNJT0/nQR5EIrmP+wCoL+vDGbid2wHYcPgBjPvu5rcGxzBu+if7mx+jvXwb2a4j3a724+6eGRz573CeeRemTQvluUUwbBhMXKqskT5/Pjz15Qlah67nyJFWtAptw+KFNxnW7v/bO/e4qKrtgX83ihRq5AvlJommZqZi+LqaeLWsuGmapWW+KzPNuml6NW9WaqZlhaVdNbyV2OPno7LQlMgSxEeaIKZlQhpBpggqKCI4w+zfH2fOOAwzwzwZHuf7+QznzJxz9lr7zLDX2WvvvdZGpISookgyMqD1oTUUD4T8zxfT6z/ZLPz3zfz9gU38+MW/eGvz9cxPvJ4nhv7M3r0duMs/g33JHRgWspKEBLjr4sccPgxdfvuY3FwPfDml9eC7xdAf+HIN3A988REMM74fjHL8ZmDfv5SALb/3VIJ6Xg/82g+uA5JeVqZnfL1SueaLj5Xcfur2m2gY2gx2z1LOP9QZQow6nALqALs7Q3vgm6UQZaWMr1cqeia9DDcAKe2gA5APXAZaw9mtzTnwfSgYlLkhM85uYdWVW5jV9l46vNuBiJAI/PAj7XQaeqmnrqhL1xZdPXAj7ZOfn09eXh46nc72SZcvw/nzSmrI+HioV49rios5evSo1/ULCgryqpzGjRvTvHlzl651N0PZP8zeSinlTpcLc4Lu3bvLAwcO2D0nMTGR/v37V4Y6FeINXay5dszHCNob2rNjxw6klAghiIiIoLS0lMOHD5vcIkKIcjNwrPnshRAIIUyDt9Zo06YNISEh7N271+556ekd2LhxGIsX72HOnD7Mnn2ISZNaOORuUutqa72A5fnm7inApiusou9HCOFWhrKbb75ZHjt2zNXLHcbbv/kzZ+Dll2Hduis0blyPP/5Q0kW2a/URpx/4L+076Im+J5p+rfqRU5jDiI0jSPkrhW5/68bGERtp3sC5RsrZ+hw9epSwsDCuueaa8uMQly8rI9klJdCypRI21XjOxYsXadjQ+9NXvSmntLSU9PR0brnlFpd+r+72CFoCXaWU/zYGoasUQ1AbsOfDN28IzX33j9/+uGlcIDs72zRbRghBamoq7dq1K+Mbb926Nf379yc0NJTk5GSrfnO1bFD87KmpqeV8+AAnTpzgxIkTgOLv7927N8XFxSbfvarnY4+Fc8cdBYCOlSsLePzxHhXeB2uN/rhx46zeH8uZSObGLjIy0sG7r2FOcTG8/bYSWXncOIiN3U+vXn0ZPPYEqRe2cqbfyyy6722e6jsaP6F4m5s3aM7OR3cSmxbL+K6VN6Hw2mstYhLpdEp00PPnISREWQtQCek8K5s6bg5uu2sIegNnjPthbpalYcS8MfPz8+Pee++lW7dupuOWM3BSUlJMUyzVwVzz2TLWGu+6deuanraSk5MJDAw0GQ5bA8OhoaGEhISUGUBu3rx5uQFeKSUBAQEMHDiQ8PDwcg32449DYqI//ftXvEDH2iIxtX7WehHq+ea6aDOCXENKJTH8nDkQEaEMDLdtC1u25/PmoX9zYuAHjK2znBUdPyQw0nqylZCGIVY/9zoGgzKinZMDTZoo8a3rutvc1VzcvTN6ACFEENDCfXVqH9bcHomJiaYnWoPBwNdff82pU6dMDbM6A8e88VUNwqFDh0xz5cPCwggKCipznuomsrZIy/w6W41mt27dCA4OLrMwzNoTuHrMVoPtKGFhYWXWAVQ0s0c935Y+Go6xe7cypd5ggLVroV8/0JXqeHf/e7y0/yUe7PQgPz/1Mz/taUEgCb5W9ypSKkGNTp6E+vWVCKGVEBIiOjqajz/+mLVr19KpUyevy/M07hqCNcBzwCqURWW1Gmfn3FtOz2zbti2//fZbOReNlNL01K+eYzAYrPru9Xq9qUy1ca9bt66pYRw0aJCpd6G6g9Sn5qKiIofcJ5aNu+qmsZwy6gnsuYEqOt8b+tR0jh+H55+HffuU2ECjRoEQks3HtvDvb//NjUE38maXN3lssDJQ/M0pUEairXPqou1jHqe4WIlkJ6WS1MBJf/z06dOZOXMmTZs2ZeLEiXz00UcOX/vcc89x4cIFZzWuMrhrCDpKKccBCCHGA2nuq1Q9qcidY3mupctGXRlrjrWnfstzbrvtNgCTL94ynk5RUZGpYSwuLi6jk/nTsxCCwMBAl+ru7lO/p8v3tj41kfx8JUPYmjVKT2DtWiUf8cFTB5mRMIOcSzksvWcpUW2jSEpKMl0XEQEQYbPciBDbxzzG8eMwezY8+aSiUOPGxKxeTUxMjNXTJ02axKRJk8p9PnXqVGJiYmjTpg0jR44sc2zBggWcO3fO9D4qKoqoqCjP1sOHaBnKPERmZmYZd87WrVsJDg4mNDQUnU5HcnKyVVeKLerWrUtUVBSnTp0iLS2tXC8Bri60Cg0NNfniLSNsqk/DoaGhJCYmlrk+NDSUqKgoUw8iPj7epLNG7UCng1WrFCMwdCgcOQItWsDJCyeZmzCXbRnbmNd/HhMjJlLXr3xzsW0bdGYbdO5spXTY9ts2Oje3fsxtzp8va71uuEEZD8B2Y2+Ptm3b8tdff3H06FHWrVtX5lhpaWmZ/1l7M+OqI+70CI6gzHI+ghJiYqNHNKriqE/zQJnB1LCwMFPAM1DcOWr0y7Nnz5Kenm4aXLVs1FUXj60VvOHh4WUCs1k7x/wp2NyHX1GjXlRUpEXkrIVICZs3K6kEwsJg+3alLb905RLzEt9g+f7lTIqYRPoz6VwXcJ3Nch59FOBR28e72j7mMjqdEsvi1Vfh/vuVuNbNmysRQt3kzjvv5NSpU6bghCrz58+3e11sbCxbtmzh6NGjzJ07l842DGNVxd0MZeeAQUAAcAewwFOKVRUsI2bGxsaaGvKDBw9y2223mRrke++9t4x/Xo1+ad7QqnF0hBBlGnSwPc9dbeStzcCxhjOuEWcHYzWqPwcPKkm2cnLgnXcgKkqJDPrhwbXM3TGXf7T6B6mTUml1fasKy1q0CJayCJYutX48eRFLo6wfcxopIS5OiQwaFqZEtvPgwOzu3bv54osveP/9952+dvz48YwfX33jbro7RjAdiAbsLOVzDSHEIJR1lMellOXj3HoZa+GRLWPUGAwG00ydcePGlZtRExoaypkzZ6yWbz6HX8WRgVBPP607OxirUX05eRLmzlXcOfPmKfnW69aF73//nhkJMwj0D+SLh76gV8teDpeptP+2G3qPGYHUVMV65eZetV4e5vbbb+f222/3eLnVAXdXVhyRUh6RUh6TUtpcOimEaCOEeF8I8ZnxfX0hRKwQYrUQYrS1a6SUXwNvAX9zU0enUQd+U1JSysyqAesLN9SwyGpM+8jISNNU0Pj4eOBqD0AIYZrDX1UaXXOdNWoely4pDX+XLor/Pz0dJk+G3/J/Zcj/DWFi3ETm9J3Drkd3OWUEQAlDrfyxcdzdeE0nTyqxRQYNgkceUaLa1aBB2qqCuyEmNqOkqSxBCTHxUAXnfyalHC6EGAvkSyk3CyHWoyS9v994WoKU8lMhhB/wMrBUSplvXk6LFi1kUFCQ6f3gwYO57777ysgqLCykgZNBpHQ6HSUlJabZNpYEBgbi7++PTqfDYDBQXFxsWT+aNGmCv7+/SYeLFy8SEBBASUmJadFWQECA6ZzKxJV74i2qky4DBgxwK8REcHCwbNSokem9td+rJ7CsR2kpJCS04IMPWtOlSz5PPPE7LVoUU6ArIDYzlu/OfMeoG0cx7IZh1POr57Icb1Dn8mWar11L661b+WvwYLJGjaK0fn271wQFBdG2bVunZaluUW/jbTm//fYbBQUFLv1e3XINSSld/TW3BA4b90ullF8CX1qc8wLQCOgDbC1zccuWeDrWkGXYBsA0MGs+d98yF655WGQhBAMGDDDNxVfLbNOmDSdOnPB54pOaHn/JVbytS6NGjcpN+/UG5vX4/nuYOVOZArp5M/z9780p0V/P8v3LeW3/a4zsNJLfRv1Gs/rOp180l2MvVSUoPYKPH3DCs1taCrGx8OKL5HTsiP/hw7S68UYqHq1QYg25EsunJsQaArjmmmtM08mdxZ3po0uwCCtRUY/AjD9RjEEaNtxTUspXXNXNFcxDGRgMBiIiIggKCjIN+Kanp1sNc9C/f3+ysrKsDraah3nwtRHQqB38+qsylnrkyNV0uyDZ+PNnzN4+m07Bndj12C46NO3gEXm2UlWajjtjBLZvV8YBrrsONm3iaFERzW+80W0dfcXTTz/Nu+++y7PPPsvixYt9rY5d3Jk1NEvdF0J0klIesXWuEKIJ8CpwmzFs9TLgXeOA8GZXdXAX8xlBlrNnLOPs2JpZU9Fga2hoKMePH9eMgIZXycuDZcvasnOnsjJ440YICIB9f+7juYTnuHTlEqvvW82dbe70qNwpU2AlU5TpnNaOb5nCysHWj5n49Vel+/Lrr0qaswceUCKDWqx78TaurizW6XSMGjWKmJgYnnrqKZYtW0a9evVo1KgR586dMy3WHD16NDfddBNHjx6lX79+ZGVlodfrWbp0KStXriQ9PZ3z58+zcOFCDh06RFJSEmfOnCE6Opq4uDiSkpJo06YNfn5+vPDCCx6tu6eiMD2GEmrCKlLKs8Bki4+9MMHYcaxFtbTVoDvS2GsNvYYvKCmBZcuU9jMyUvDrr9C0KfyR/wdztswh6Y8kFg5YyLjwcdTx87x/+o03AN6wffxu28fIzVVGsTdsUKzX558r1stHuLqy2N/fn1dffZW+ffsSHR1Ns2bNWL9+PXfffTdpaWl07NjRdN3kyZPJzc0lNjaW6Ohohg8fTmFhIWvXruWee+4BIDU1lXr16mEwGNDpdGzfvt0k8+GHH+aRRx7xeN3dcQ2FAaellMXAd55SyFtYxqgvKCgoF9XS3swZZxt7y/UHGhqeREr47DMlskKnTrBrF5w+nUG9hg2Zs30xMakxPN3jaWLui6FBPe8N7L71FrzMW0qiAmvH97zFy/0tjhUXK9ZryRIlV/Cvv5pWBPsSd1YWnz59mmbNmnH+/HkA9u7dy1tvvcWmTZu4/vrrTeddd911XLhwgeuuu7pIT0rJDTfcwLx580yfDR06lK+++orY2FjTxJX6xsFydyb42MKdHsFzwAUhxCJghxAiUEpZfqpNFcBajHo/Pz/TSmBLd4+7Cdstexs9e/b0VFU0NPjhB8WVXlSkZGy74w7QG/TEpMYxcvlI/tnun/w0+SduuO4Gr+syahTAKNvHO5sdk/Lq03+XLrBnD6ak1Z4mJkZ5WWPSJOVlBVdWFhcUFLBixQq2b9/OpEmT6N27N6C4k9u3b2+aQm6Lhg0b0rNnT5555hmklDz22GN07NiRV199laNHjzJw4EC713sCdwxBNsov4G8osYYkiouoymEtRr35gHBgYKApHARgN/uVM/LU3kZJSYmnqqJRi8nMVHID7NyphNgZNw78/CRbM7bx72//Tb0r9dg2ehu3hbg2c8QVduyAduyAdu2sH8/cQbsm7RTr9dxzSm/gww/B2zPG7DT2tnB1ZXFQUJCpB/HBBx+wZ88eevVS1mN07tyZFSuUDL6rVq2iQYMGdOjQwfT0/9lnnwEwa9asMmVGRNgO1mfZW/EE7gwWvyGE+FRKedKTCnkDy/j9aox6azH51dXD7sTesRx4DvCh31Oj+lNQAIsXw+rV8MwzSi+gfn34KecnZibM5I+CP3jjrjdo+FfDSjUCoIT7V5Ia2ziuC4KRIxXf1auvKgmoKyFDWExKDDEpNqKPdpvEpG7ljYSnVhb36dOHPn36AEpbM3r0aKvrkqoS7owRbASkeW5QJ6aPVhrq6l51TUDv3r0JCAgwuX0sY/KD7RlCjmI5uHz8+HEP10qjNqDXK43//Pnwz3/CTz8pATZPF55mWtyLxKXH8WK/F3my25P41/En8VRipeuYnw9KZnsLCgpg0SLyv18J982E999XrFdlkTIJYmz0CCYB1iPE22T48OGmp3dniYyMZPjw4Xz44YcuXW/O6dOnWbFiBQsWeDasmzs9ghFCiAbALVLKH4UQLT2ol8cwdwupKRQjIyPJzs4ul6JR7RE4GtzNHuaDy5oh0HAGKZV4QDNnKiEh4uOha1co0hWxcGc0S39YyqNdH+XXqb/S6NpGFRfoRS5fBrh89QO9XvHNL1gAgwZxOfp1iJxS6Xq54BkyUVRUxKJFi8jPzyc8PJwnnniCM2fO8OKLL3Ls2DGWLl3K6tWrGT58OJ06dWLkyJGsW7eOzp07M2HCBFJSUnj//ff58ccfiYmJoZ3RbVZUVMTrr79epty+ffvywAMPcODAAd588010Oh1z584lODiYYcOGUb9+fdasWYNer6d3796MGTOGP//8kytXrlCvnuOrwSvC3emjb6OEl/gRmANMdVsjD2MtuqblYK61FI3adFANX/DTT8pAcFaWMjXzvvtAYuCjQ5/wwvcv0KtlL/ZP3M9NjW/ytaqAkggMWivWa+tWJa713/5msl6tT+73tYpOI4RAr9fTuHFjNmzYwBNPPEGdOnV45ZVX+PHHH1m7dq3V61q2bMmMGTNYvnw5aWlprFy5kg8//JCCggKmTp1qtdyGDRvy3HPPsXnzZpKSkjh48CAvvfSSyXiMHTuWm25SvuuDBw8yZswY2rRpw8GDB03jEJ7AXUNwEThv3C+2d6IvyH3/ffy+/pqH+/blVI8eNt1BjqZo1NDwFqdPw4svKlGWX3xRSbbl7w9JmUnMSJhBHb86fPrgp/S9sa+vVb1KTg4/PLKOntn/Vtw+zZop4UjvvVdZEAb88OcP9Lyhes2a27p1Kx07dmTcuHEMGDAAUIyDuhVCEBAQgF6vR0rJZaVbZJre6e/vT0lJCX5+ftStW9c0RpiQkFCuXMtr1JwkKleuXOHZZ5/FPFZVo0aNPJ4W011DkAtECiHeBMqn0PIh+rw8gqZMoZ5Ox5UtWwhauZJmxsZei8GvUVUoKoLoaKX9fPRROHYMrr8eMs5mMHv7bFJPpbL4zsU83Olh/IT3B1mdYuhQhp34C9DBhQtw661KlFAzhnUY5hvd3OC2227j+eef59SpUya3sl6vZ+7cuWRkZBAdHU1ubi7Lly+nY8eONuf1P/nkk8yaNYsWLVoA0KVLFxYuXFimXEueeuop5s2bR0hICEOGDGH27Nk888wzNG/enLCwMJ555hmOHz/O4MGDPVtpNWmKsy9gpnH7L+B74HVXy3L21a1bN1kRCf/7n5RKh1VKkHl//7uU69ZJuW+flO+8I0/+8IPMGj1aZp04IeX48cpFY8Yo2/HjpdTppHz+eSmzsqR85x3lunXrpPzqKymTkqR87z0p09OlnDdPyosXpZw8Wbl29Oiy22nT5K5Nm6R8/XUpf/pJyjVrpPzmG+W1Zo3y2euvS3nmjJTTplkvY/JkRca8eYrM995TdPjqqzJ1kllZis46ndU6JW7f7rE6yTNn3KrTn0OGeKROnvieduzYYbdOwAFnf6Pmrw5t2pSrQ+nosfKjj6QMrZ8nRwwvlccnvy5lVpY8u3SRnLZmpGzySkO56L2xsuj7BIe/l6zhw93+Xhz5rWVMnizljBlSgnyeRVf/zxo2lJY8/+3z5T5zlB07djh1/i+//OKSnAsXLrh0nS/kGAwGOXbsWKvH1Pq78nt1xxAsM25XG7fvuFqWsy9HDMG3GzfKEn9/KUGW+PvLM//7X4XXeAtnf9DeoqroIWX10sVdQ9C+ffsy5SUlSdmtm5Q9e0q5a5fyWYm+RL69923ZbEkzOXnzZJlTmOPxerhNaamUsbHycrNmUj70kJQ9ekhdnQClGalbV8rIyHKX6Ep1LovTDEF5cnJy5IEDB6wec8cQuNPXDBFC3APkGN9XfoB9O2zbu5eClSs5OWwYBStX0uzxx32my+bNPourV4aqogfULl0KCgoAyMhQ4qmNG6cMCO/dC336SDYd3cStK27lm+PfsGP8DlYOXklw/WCn5Xi1HomJ0KMHrFxJzJ13wvr1sHkzE5tsUtKc9e6tRLqzYGLcRJdFulIfpR10jvx8K9NfvYAn5AQHB9OtW/m5rxb1bup0wc5aDvUFdASmAQ2M74e6WpazL0d6BJZPYb6kquhSVfSQsnrpgps9goCAQDltmpRNmki5eLGURUVKuQdOHpD9PuwnW73WSn7z2zcmeXFxcWXkq++tbc33K6qHrXLtyjl2TJ7q1UteCg6Wct06GffVV96R44H67N27V+bm5kqDwSCllPL8+fM2t+b7hw8ftitHPbei996UY23ffJuTkyMzMjJkXFycBC5JJ3+j7qwj+AX4xez9V66WpaFRkykpaUdxMfzyCwQHQ3ZBNi/Ev8C3J75lQf8F7Nuzj7tvutt0/ubNm8tkMFPfW9sCZfbtYatcq3L69CFwzhw4fZrdN93Ed4MGseLhh9lsMTl/7Fj4iLFgFrLZvNyxm8Zy7bZrK6U+n376KdOnTyc3NxeAs2fP0qRJE6tbwLRfXFxsN3OYel1F770px9q++dZgMNClSxeXe4Vupar0FUKIXOCPCk5rCuRVgjqOUFV0qSp6QPXSpZWU0vlUXkaEEBcBeynKgoACB96ncuxyAAAgAElEQVRb22K274/9emhyqq8ca/u25LSQUjqVCq1aGgINDQ0NDc9RxSYma2hoaGhUNpoh0NDQ0KjleCpVpdsIIeoDO4GXgZuB1ig+tclS819paGhoeI2q1COYDWxA0SlCSvk0cBioQsFVNDQ0NGoeVaJHIIQYiDIV9RqUUe9c46E/gHLhrQMDA6V5ztDrr7+eoKCgMueo+QeqAlVFl6qiB1QvXdLT0/PcmTV07bXXlunUWvu9eoLKuqfmci5dqksQBeht5Boo1BfSoK6SM7mwsJD8/HxatnQsYr0v6lMT5Lj0e3V24YE3XsCrKCGtE4BtwKfGz6cCkZbnO7KgrDqFMKgsqooeUlYvXfBwiAlvUVn31FzON9+of6yz7vA60/7LL78s58yZ45Icb1LT5Ljye60SPQIp5QsAQogJKPNs2wsh3gECgBU+VE1DQ8MOp04BnLJ5vHWj1qb91NRUxo8f732lNJymavTNjUgp10gpt0gpo6WUz0opnRoovnTpEjNmzKBVq1bcddddhISEMHToULKysryptoaG02RmZiKEKBNO+M0330QIwZo1a3ynmJNERKh/rPPDnz+Y9lNSUuwmZdfwHVWiR+AJpJQMGjSIpKQk+vfvz4MPPkhwcDDr1q0jKyuLG2+80dcqamjUOLZtg85sg86drR5X8xGcPn2a4uJiLfdHFaVK9Qjc4fvvvycpKYlbbrmF7du3M2TIEJ5//nlSU1OtRuvT0KgK6HQ68vLyyMvLo6ioyNfqOM2jj6p/rLPiR8Wzm5qaSkREhCnTl0bVosb0CFJSUgC4++67qVOnDleuXCEvTwnrERgY6EvVNDRskpCQQLNmLk9I8jmLFsFSFikp1qzwyh2vAJpbqKpTY3oEKuoTR1xcHM2aNaNZs2YsWbLEx1ppaFinV69efPvtt3z77bdMsojsWR1YuhSbRgCu5iPQeuZVmxpjCLp37w7Ad999h5SSfv368dJLL/lYKw0N+zRt2pSBAwcycOBA2rVr52t1nGbMGPWPddbcvwbQegRVnRpjCAYMGED//v05fPgw//znP/nxxx85dcr2tDYNDQ33+fhj9Y91xm4aS25uLhcuXOCmm26qPMU0nMJlQyCE6CKEmGjcH+g5lVzWh82bNzNt2jSOHDnC22+/zbZt2xg+fDiDBg3ytXoaGjWSinoEHw37iL1799KjRw9toLgK485g8bPAaeP+IGC7++q4R4MGDVi6dClLly4lMTGR/v37+1olDQ2rhIWFYblEZubMmcycOdNHGrmG0hmw3SOY8OUE6n9bn7vvvtvmORq+xx3X0AWgxLivTcvR0KiFTJmi/rHO6vtWs23bNqKioipPKQ2ncadHsBd4WgjRB3uPBA4ihLgFpZfRFPgOJe3aAJQwE1OklJfclaGhoeFZ3ngD4A2bx5/+4mlKSkro1KlTpemk4Twup6oUQvSRUu4x7kdKKZM9opAQfsBq4Dop5QghxGCgkZTSlB27RYsW0jx64+DBg8sksQYl0mGDBg08oZLbVBVdqooeUL10GTBgQIqUsrur5QcHB8tGjRqZ3lv7vXqCyrqn5nJiY1vxEgv4w0YMobVfreX0sdPMmjXLLTnepKbJcen36myUOqPhuBV4F+hofH3oSjlWyh0C7AFGARuMn3UG5pifp0UfdY2qooeU1UsXtOijNuWkp6t/rNPx0Y5yw4YNbsvxJjVNjiu/V1fHCIajZBEbDjwArHexnDJIKeOklH2A0WYf3wj86YnyNTQ0PMuOHeqf8hQXF5O5K5OBA30+qVCjAlwaI5BSzhdC1AVuQxkodjuVpBCiP4pRCQC2AueFECuBa1HyEmhoaFQxOnQA6GD12K5du7ih0w2Yu8U0qibuDBa/C9wA/Aj0QMk37DJSykQg0eLjT90pszaRU5jDkI+HcCTvCJ2adiJuTBzNGzT3tVoaNZz8fID8cp/nFOYw4a0J5DTMod+H/dg4YqP2e6zCuDN99CJwWEq5ADeNgIb7DPl4CAdyDlBUWsSBnAMM+XiIr1XSqAVcvqz+KcuIjSM4mXoSfTM9e7P3MmLjiMpXTsNh3DEEacDPQoivgDYe0kfDRY7kHcGAksfZgIG03DTWH1nP/pP7WbZvGdkF2aw+sRq9Qc+ELycAyvJ/UBb96A165myfQ3ZBNsv2LWP/yf2sP7KeuGNx7PxjJzEpMWSczWB+4nwKrxQyZYsyd3zMF2PKbKfHTyf3Ui5Ldi/hcM5hYtNiSTieQMLxBGLTYjmcc5glu5eQfyWf6fHTrZYxZcsUCq8UMj9xPhlnM4hJiWHnHzuJOxZXrk5zts8pU6cHPn6A5ORkRnwywuE6xWbG2q2Tu+ilvpye3rj3//3tvw7d+9xLuW7d+8///Nx070Nb6Zlw8aNydUo5lqI4jpsq9U87neaRe6nhJZwdXVYGpRHAMFeu9cRLmzVUnp4re0q/eX6SeUi/eX6y58qePtHDUbyhS1ZWlly4cKGcP3++XLhwoczKyvKILmizhmzKeecd9U9Z2k1oJ0UnIZmHrDu/roz8INItOd6kpslx5ffqUo/AKKyzECJECBEohNBWFvuYuDFxdG/encA6gXRv3p24MXG+VqnSyczMpLS0FCklpaWlZGZm+lqlGs+wYeqfstycfzPterWjYb2G9A7tzcYRGytfOQ2HcWewuDXwKkrvQAKPeUQjDZdo3qA5+ybv87UaPiUsLIw6depQWlpKnTp1tLSIlcCKFbCYFbB4sekzvV7P7qTd/Pzzz4SEhPhQOw1HcdkQSClt56fT0PABoaGhjBs3jszMTMLCwggNDfW1SjWeV14BeKXMZ4mJibRp00YzAtWIGpOPQKN6k52dTXJyMtnZ2W6VExoaSmRkpGYEKomJE9U/V1m9ejWPPaY5CKoTNSZnsYZzZGdnV/qTs7lMy8/Xrl1rcumMGzfOazr5ot41mTVrANaY3ufm5pKQkEBMTIyPNNJwBZcNgRBiLtAJZXxASilHuaOIEOJ+lLwGwcB/UWIMtQb8gcnGAepagzcbLGcaXk/pYSmzZ8+eps8TExPLDfJ6o5GuTINTWxg7Fj5iLHykTCGNjY3l/vvvxzwopEbVx50eQbCUcqSnFJFSfgl8KYRoBEQD9aSUo4UQTwN9AY9EN7WHtUbPmYbQW42mpxssa7NrrJXvST0sZZaUlJjK1+v1gJJlzhuDvOr3UlBQUCkGpzahtP+KEZBSEhMTQ2xsrE910nAel8JQCyEGAQ8B8Sh5A5BSbvWIQkK8BXwBjJBSThNC3Ac0kFL+n3qON8JQ63Q6zp49i5QSIQRNmjQBKPeZv7+/w9er5zqrS2FhIRcvXjS9b9iwoUvha3U6HSUlJQQEBODv72/Sw56u3tBD1cVcZv369RFClCk/ICCAhg0b2rzH7so1x7zeWhhq1+W89loH1jCBX59/nrS0NJYtW8b777/vkbSUNS08dFUOQ+1qj6Ap8D1QD2iGZ4LOCeA1YBtK/CI17dGNwE/m57Zs2ZIDBw7YLc/ZVJXJycmkp6ebGqoBAwYAlPssMjLS4evVc+3pYqsX4u6TuLUyjh8/btLDkd6Lp3sm5jKPHz/OTTfd5FT5rvS4LL+XiIgIgoKCypTh7bSmjRo14tixY14rX6Wy0rOay+nbF+qyhRZ167J69WqmTZtm+t/xpBxvUtPkuIKr0UdjhRBPSSlXAAghpnlAl2eAgUAQ0BZIFUK8gxKNdIUHyreLrTnolp/ZaozU6/V6PUIIAgMrXmNnq6H1xDTIihZXqXLs4enpmOYyjx8/XmH5loPL1u5VRcbB8nsNDw/X3EEe5MUXYTEvcnbmTL7++muWL1/ua5U0XMAlQyCEeAPoI4QIQ1lQdhPwtjuKSCmXAcvcKcMdbDVK5p+B9cZIvT4qKoqtW7cipSQ+Pp7g4GC7jY49X31FDbWzDaD6FO4Mlg1xcnKyxwevbdXT0kiGh4dbNWwV9Si0tQXe5amnAJ5i7dq1DBkyhMaNG/taJQ0XcNU19C5K0LlkFLfQaY9p5EPMGyXzRlB18SQnJ9sdbCwqKjLF7nBkMDIwMNDkS62ox2GOIy4baw2go4YgOzubQ4cOkZaWhsFgwM9PWW5iMBg8Onhtr66WRhLK987Mz9Hr9aaut7V7oRkA77BpEzwjv2D16tXalNFqjKuuoT+EEAuBrighqHdiHDSuCdhqaCsKYeBMiIPs7Gzi4+NNDW1UVBRQ9gk3KiqKoqKicg2lo7N+rDWAFRkay5k8gKkhVvcdmW1TkRydTmfXmFkayfDwcMLDw8uVqbrjAH7//XeysrK0aaGVyN//DkmJJfj7+3P77bf7Wh0NF3EnxMRYIUQ4MA/4H1Bjsk7YamjVp+xDhw5Zvc4ZN4QqA5Rpd0VFReWecFU3k2VD6WpMnYoaX0u9VOrUqQNc7RFUJM+RHktJSYnVe2ytNxIVFVXGZaai3u/ExER+//13bVqoD8jI0LM/Opo31q71yEwhDd/gzoKyI8AuYD5gvWX0JXo9xb16UffIEfSdOnFNXBw0d8xWVdTQHjp0iNLSUg4dOlSukbP2FK7T6cr417OzsykoKMDPz69c46rKFUKY3EyWbg9zgxMYGGjyl1fU+NlqfFUs9fLz86Nr166Eh4cDOCzP1kB1ZmYm9eu3YcqUJowcWZ8PPpjAQw9tJCio2OQWs+yNqEbSFqGhofTv35+srCwt2FwlkpMDI4ZeYe++LYwgiPCX/gvh4Q7/j2lULdxZUDYIuAOYDDQAPJPFw0PI337D/8AB6hgMiAMHONO/P/vfeIOQkBCr7hZz7D3ZO+qWUcnOzubs2bOkp6eb3D3x8fGUlpbi5+dHREREmYZWdQcFBgYSHx9v0+2hynRmhbAq09qTvflTvLleluVV5LqyZkxOnjxJUlISBoOBDz5oRXa2Pw89JMjOvoGvv55AfHwRoaGhpjEYc6w17JZuJ3cGhLOzsyksLCQ7O1vrRTjBiBGwZ18+pazhFLMZsa8dO0eMgJ1assLqiDtB56YA/YBiYJNn1PEc4vJl6hiUjF11DAYa/fYbxbGxpK5axaXFi9m0bBkXpk4FvR4mTFAuGqtkWGLCBEJDQojcupVQgGXLYP9+WL+eDunphGVl0S0lhabnz9Nl0yYoLIQpxmUPY8aU2frNmEG9ggJ6JyfT5K+/KH7vPVodO0brjAw6paYSkpdHw5Ur+WzlSvxnzSI+Pp6IpUvp1q0b01JSaNOmDYO2bKFucTG3b9/O6eRkzr32GoeWL+d0TAw3HzpESHY23Xbv5q99+2DOnHJ1ys7O5tzQoVy+eJEBCQn0CQ3lKb2e0FOnYP16iIvj3JdfEr5vH43y8uj73Xc08vcndNGiMnUJePxxSktLuXvbNuoVFHB+zhx+XreOg9OmceaTTzjzySccnDaNP7dto3dyMp1btOCurVs5duwYQzZsQErJouzZGAx1yF/xM/UMJXQ99g17Pq/L/jmb2PlhQ5oezCNtXRf+djKH1E/u4tGBA/nPP/NAr2dC2138/ns287sn8OWXKbzb+//Y/OVJ1t//KQcTrkFuzGHbCj0Zb3/N/FG/Uhi/iyn/+AUyMhjT5ScoLGRMeyVU9/RbtpGWdpLoXp/z889+rL4jlk9XHidh4gZiF2ZzeOFXLJmYTu6GHW7/FkuLDczpnYi+WKkDwNg2ynZC213oi/XM6Z1I9r6/WPZgEvs//Jn1z+4h7oV97Fx+iJgxO8n4NpP5AxIpPF3IlFuVxnZM691lth8/UUju0TyW3JvI4c/TiX1iFwmLU0hYnELsE7s4/Hk6S+5NJPdoHtMjkqyWMeXWnRSeLmT+gEQyvs0kZsxOdi4/RNwL+1j/7B72f/gz372Ux18H/qIvXyN4iMf4njTCIU3LQlZdcWllMYAQoimKEUBKWehJpSqie/fusqIFZTtWraLf1KnUMRgoFYI/Q0NZYxYR0dbiIltYTqVU3SQV9S6ys7PZvXu31R6B+hSfmZnJjh07rC5Gs/S3W/YogHJuHEtdkpOT2bFjB+3atSMjI8PqwjhH/PrZ2dnExsaWe2o3X4BnXo/WrVubfPcqH374KNnZN7BkSTKzZkXSvbuOffuusXqfrd1TtS6OLPKzhxrj6Pfff7d7X4z1c2tl8c033yxr2oKymTNDSEm5HThKXa6nNz+wM/IFj/YIatpCr8qS48rv1R3X0GSglVFwtlSS2FcZRNu26Lp3x3D4MH8FB7NxxNXk2UII/Pz8TAOSjrhVLBvJsLAwh9wyoaGhNGnShAEDBpgMhzWXiq0xCUu3h7lrymAwEBERAUBaWhqpqalWxy3UMQ9VjjUfuiPuldDQULp27UpKSkqZz20twOvYsaPJd68aqvvuq8OUKTr8/KB7dx1xcdeUk2HPKLs6UG6OtbEIbWzBOZo2nUXr0Bnk/RVIV7mfjT3ehI1aFrLqijuGoLGU8gkwLTCrWtStyzX7FDeAX3Y2HYwzfdQxgoKCAlJTUx3y9dsa/HR0rMDf39+u4aioEbZsHC1XymZmZmIwGOzqoi7IsmfwHJlvHx4ebhosVxv3kJAQk+6W9QgODi5Xr337IDERpk+/xq4sWzp6atW1SkBAgDbl1Am2bt1KZuYxfklfzzXXXAPcDnzla7U03MAdQ3C9EGI8yoKyJu4qIoRoA7wABEkphwshRgEDUEJMTJFSXnK1bFvz6dUGraKnQVtPoc48mVY0yOxII6y6TZzpUZj3Ztq3b2+3fEewbIiBMoPMlu4pbyzmUstzdLYUlHU5WX6fDRs21IyAg+zfv5+YmBj27t1rNAIaNQF3xgjaAe1RQkwkSCmveEQhIT4zGoKNUsoRQojBQCMp5UfqOZ6KPmoZndPZc9XP1Bky1srR6XQUFRXh7+/PhQsXHIpkaku+vYih5voBpv2SkhJThM+AgADq1avn0QiIlhFKAYfq504kRkejp9o7H8reIy36aMWcO3eOKVOmMHHiRO666y6vyVGpaVFBa2L0UYBhUsolblxfEaqF+gMlSY0Jb0QfdRV7g6zqsTZt2nDixAmbK4UdwV50U3v6REVFmXo+7du3p0ePHuXWDrjjZrHmb3dkENed78fRe+Ho+Vr00YrR6XQMHDiQJ598kjvuuKNGDa7WNDmu4I4hGCeEuBO4gJKh7CEP6WTJjcCfXirbKs40jvZcPua+6NLSUoqKilya4QKOD5Ja6lNUVGRy5RQXF5czAu6GmTZfbW0++O7NgVdnB4w9McBcm5FSMmPGDBo0aMC8efPYqa0VMJGTk8O5c+ccOjcoKIijR496TZfGjRvT3MUFfe6EmOjk6rXWEEI0AV4FbhNCzEHJVrYSuBaY6klZljgS7tgW9hoZR2brOIqjg6TW9FH99ImJiWXOdXZxnD3dQkNDrcYC8gbODhhrEUhdp7S0lGeffZbk5GSSkpJMU5Y1FM6dO0f79u1N/+f2uHjxIg0bNvSKHqWlpaSnp1euIRBCTADWokQhbQoccNdNJKU8izIl1ZxP3SnTERwJd2yv4bDXyJg/LXtiVoojA6/ONHqeflL2VpRPaz00Z2V5S7eaTFFREaNGjaKwsJCdO3dqeYht4IgRqOo6uNoj6CalXCOEKJFSPiSEcCsXgS+xfCoG52YDgf1GJjQ01JSEpbJwtNGrKIheVcAV95VqOBxZ8Kdhnby8PO677z7atm3Lhg0bqFevnq9V0vAirhoCdSD3OePW9ybRScwbC8t5+ZXl4qgq2Aui52tcie1kPngthPBoDoXawI4dO5g4cSIPPfQQixYt0qKK1gJcdfhJIcQ9QCMhRBRg8KBOXkdtLHbs2EF8fDxRUVEMGDCgTEC3yMjIWtFw2FosV1VQ3Vdqg+7oeg2VqlqvqkheXh4TJkxg/PjxREdHs3jxYs0IOIEQwurLGtOnT+fkyZOUlJQwVo1x5gA6nY4RI0Zw/vx5HnnkEXJzcz2iu6s9gpnAE8AQ4IjxfbXB2swaV2fzVHeq+owaZwd61fpY9giqWr2qEleuXCE2Npa5c+cyevRofv75Z68NatZknFmTNXXqVGJiYmjTpg0jR44sc2zBggVlZiJFRUWZElf5+/vz6quv0rdvX6Kjo2nWrJlHdHc1Q5mOSkgo7y0qo/GznIlUVakOM2qcGei1zNWgjRHYJi8vj1WrVrFixQpuvfVWtm3bZopdpeFd2rZty19//cXRo0dZt25dmWOlpaVl1uUYDGUdLqdPn6ZZs2acP3/eY/q4s46g2uLtxs9ygLNnz54eLd/T1LQZNTWtPp7k8uXLfPfdd3z++ed8+eWXPPjgg3zzzTd07ty54os1PMqdd97JqVOnyk3JnT9/vs1rCgoKWLFiBdu3b2fSpEn07t2bVq1aua1LrTQE4N3GwtL1VFJS4hU5GhoVYTAYOHbsGHv27GHr1q1s376d2267jaFDh/L6668THBzsaxVrJbt37+aLL77g/fffd+q6oKAgUw/igw8+8Jg+NXZ1yObNm30m23KAc/v27T7TxRxf3hNLapMuBQUFXi1fZePGjezbt4+1a9fyn//8h3vuuYfGjRszePBgvvvuO4YMGcLx48dJTExk+vTpLhuByvruqoscR8cG8vPzTfu33347GzZs8NhYjIUOTV0qoCq+gPpALLAaGG1+rFu3brIi2rdvX+E53iQrK0vu3LlTZmVl+VwXlaqih5TVSxeUBZMu/5YDAgLslh8XF1fuvcFgkJcuXZKnT5+Wq1atkgcOHJALFiyQ69atk08++aScN2+ejIqKkj169JBdu3aV1113nRRCyIiICDlq1Cg5f/58GRcXJ3NycuzKsfbe2tZ8v6L7VZvkZGRkmO7x+fPny23N9w8fPmxXjnqutffW9s23OTk5MiMjQ8bFxUngknTyN1qVXUMPAJ9JKTcLIdYDn/haIWfQ/NQaKjqdjuHDh6PX69HpdOh0OvR6PVeuXKGkpIQTJ07QtGlTSkpKKCoq4vz585SWllKvXj2CgoIoLi6mbdu2nDp1isjISI4cOcKDDz7IhQsXaNSoEYsXLyY6Opr9+/eXSxpkzubNm8tEPbX13toWKLNvj9okp2nTpvz000+cPXuWs2fP0qRJkzJbwLRfXFxsdwWwep2199b2zbcGg4EuXbq43LtxOQy1tzHGG9ompUwTQnwqpRxlduwiZd1auUCeRRFNrXzmK6qKLlVFD6heurSSUro8T08IUQyY5/e0/L0GAQUOvLe2xWzfH/v10ORUXznW9m3JaSGldMrnVJV7BH8CLYE0LMYynK2khoYvkVJqGVw0qjRVuUdQHyWoXTGwS0pZrVxDGhoaGtWFKmsINDQ0NDQqh6rsGnIJY09iBXAFSPRFT0IIcT8wCAgG/ouSYa01io9wsqxE62u8HzuBl4GbfaiHH/AKcB1wANDhoZzULuhyI0pvMw9IB7J8pYuGRlWgJq4jUGcbqbGQKh0p5ZdG+ROAR4AIKeXTwGGgbyWrMxvYgPJd+1KPocANKAbgT5RUp08YdXugknVpD3wtpXwM6OhjXTQ0fE5NNAQtgWzjfqm9EyuBucD/UGaJgJJ/uWVlCRdCDAR+AXJQZhP4RA8jNwN7pZTPAVMom5O6snU5CIwUQnwP7PCFLkKIfkKIdRWf6XLZs4UQjoe1dF2OV+pgIWeQEOJlIcQYL8vpJYSYZUy85VWEEHOEECMrPtMtGdOEEM8JISpMZF/jXEPYmW1UWQgl9uxrwDbgR5SGD5T8yz9VoioDUBbmdUQximqUqsrWA5Tv5YpxvxRQ4/NWek5q4FHgZSnlTiHEZ1wNo+6SLkKINsALQJCUcrgj7kmj7D6uKF+RPOAGKeXrQojZrpTvqBwp5Seu1sEFOUnAU5UgZxhwxptyUB5UDwMNvCznHBCGA+1gjRssrgqzjYQQ/wLGoxiBNCAQaMVVH3Sl3nTjE04eikvEJ3oIIQKB5UAR8CuKUYrEmJO6kscIOgHzUO5JIZDqCV2EEJ8Z/yHHAvlmiyH/D7jfeFqClPJT4/nPSylfc6MetuSlSCmXCCFmSylfd7X8iuRIKR92tw6OyEFxr74MLJVS5tsvxXU5UsqHjcefkVIu95YcYB9wPXCdlHKat+SY1WeRlPI/9sqocT0C4z/xoz7WYRmwzJc6mCOlXFMFdCgCHrf42Os5qW3ocgQY7kVdWqI88QGUSim/BL40P0EIEQ5ECiHSpJTxnpQH/CCEeB446Wa5duV4uA425aA89TYC+gBbvSVHCDEEiABOeVBGOTlSymghRBjwd2/KEUIMAroBxyq6sMYZAg2NKkCF7kkp5SGUmWUelyel3IkyU8zTWMrxZB3syXnFCzKsyYkD4rwtB0BKmQlkelOOlPJr4GtHLqyJg8UaGpWKEKKJEGIVcJsxNMoXwINCiJWAx0NoVpY8TU7tkVPjxgg0NDQ0NJxD6xFoaGho1HI0Q6ChoaFRy9EMgYaGhkYtRzMEGhoaGrUczRBoaGho1HI0Q6ChoaFRy9EMgYaGhkYtRzMEGjUaIcQEIcQWIUSso0HYjIHoNDRqDVqICY3awCop5RYhxDpj/JV/oCQNeg4lZ8U/gBOAQUr5KoAQoimwBHhBSunp2DMaGlUKrUegURt4QgixB9iCEsTMDyVL20Dj8XhjPJtOxvdNgKXAjJpgBIy9ojTjvr8Q4g8hxGAvyHC5TG/1woQQQdb2Hbx2ghBisBDiJiFEnBBihNmxIUKISFvXVFBuxWGhzcqxJcuTaD0CjdrAauB74D2U0L9DhRDjUcKDA6hhp9UcCYUoBiOYqzkcqjvHjLkDmgN7AYQQrYAZKPU+DnwLjDae8z+UZELlekvGa2+1OBfgESHEAOCMMR/CBCBP7Y0B8eblAZ8D81HShTawUW45HYx6L0TJGxAHPKjWQUr5tkW93xRCLDOWNwAlkqlah1FAf+Ai8B+ghcX9UENeT0FpK82juTYGDMY6mtepNRAohAAlEqhleQOBA0KIMvdaSrnXol7hwFoRWE8AAAImSURBVBljOaqstijh04tRYgk1svX9OIvWI9CoFRjDYO8HbhRCvADcZef0EmAy8B8hRIfK0K8S+AylwbwHSDB+9hRwGTiLkle7BLgGJaOdmt3MsrekYu3cBCnlDKCHnade8/KeAJ5HMQb17JRrqcNUYIFR1r0WdbDkaZTG9RGUjIHmtERJ0PS2lLLEyv1Q2QJslVLucaBOu4BPpZRbbJS3zWisrNXTvF4fm5WjMhl4UUo5EVCztdn6fpxC6xFo1GjMczEYk43YTDgipRxp3Kq5CsZ7VbnK5bJxe5qrGdn8gI+klD8BCCGWA2+gPMHON55j2VtSedbKudJsK1EaO7WNqW+lPIGSTasU0Nsp11IHYasOVuiJkhHsOpTETKbY/MbkPeHAG0KIF63cjwnmBQkhxqHkK3jDQoa5fgazz62VV2CnnubXm5eD2XHze2wp22U0Q6ChUXuYhdKAjDO+fxdYJIQ4heIe2QHMRnlKrQhr50YJIboCB6SUUijpJZcIIVqjZOSyZDWKq+b3Csq1ZAUwz6j3FmC2Wgcp5XyLc3sB/0LJyvcEZoZACDEJaIfS6J6l/P34w7wgKeVaYK3xWlu6HQJeEELUraA8a/U0r9c2YKqxHJX3gFeEEEUoWe+cGvOwhxaGWkNDQ6OWo40RaGhoaNRyNEOgoaGhUcvRDIGGhoZGLUczBBoaGhq1HM0QaGhoaNRyNEOgoaGhUcvRDIGGhoZGLef/AfoVtN6aGh33AAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 396.85x288 with 8 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 80\n", "\n", "steadystate = (experimental['steady_state'].values[:N]).reshape([N, 1]) * 10\n", "\n", "def find_ss_selfint(x):\n", " amplitude = 2.10E+00 \n", " x0 = 2.87E+00\n", " k = 1.14E+00\n", " offset = -1.77E+00\n", "\n", " return 10**( -1/x0 * np.log(amplitude/(x-offset) - 1) + k)\n", "\n", "def sigmoid(x):\n", " amplitude = 2.10E+00 \n", " x0 = 2.87E+00\n", " k = 1.14E+00\n", " offset = -1.77E+00\n", " \n", " return amplitude * 1.0/(1.0 + np.exp(-x0*(np.log10(x)-k))) + offset\n", " \n", "noisecolor = np.copy(experimental['slope_linear'].values[:N])\n", "\n", "selfints = -find_ss_selfint(noisecolor) / steadystate.flatten()\n", "\n", "omega = np.zeros([N, N]); np.fill_diagonal(omega, selfints)\n", "growth_rate = - (omega).dot(steadystate)\n", "\n", "idces = [0, 35, 59]\n", "colors = ['r', 'g', 'b']\n", "\n", "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,4))\n", "gs = gridspec.GridSpec(4,2, hspace=0.1, wspace=0.1, top=0.95, bottom=0.08, right=0.95)\n", "\n", "ps = 10 # point size\n", "\n", "ax_nc = fig.add_subplot(gs[0,0])\n", "ax_ma = fig.add_subplot(gs[1,0], sharex=ax_nc)\n", "ax_si = fig.add_subplot(gs[2,0], sharex=ax_nc)\n", "ax_g = fig.add_subplot(gs[3,0], sharex=ax_nc)\n", "ax_r1 = fig.add_subplot(gs[0,1], sharey=ax_nc)\n", "ax_r2 = fig.add_subplot(gs[1,1], sharey=ax_ma, sharex=ax_r1)\n", "ax_r3 = fig.add_subplot(gs[2,1], sharey=ax_si, sharex=ax_r1)\n", "ax_r4 = fig.add_subplot(gs[3,1], sharey=ax_g, sharex=ax_r1)\n", "\n", "for ax, label in zip([ax_nc, ax_r1, ax_ma, ax_r2, ax_si, ax_r3, ax_g, ax_r4],\n", " ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H']):\n", " ax.grid()\n", " ax.text(0.08, 0.95, label, transform=ax.transAxes,\n", " fontsize=10, fontweight='bold', va='top', ha='right')\n", "\n", "for ax in [ax_ma, ax_nc, ax_si, ax_r1, ax_r2, ax_r3]:\n", " ax.tick_params(axis='both', bottom=True, labelbottom=False)\n", "\n", "for ax in [ax_r1, ax_r2, ax_r3, ax_r4]:\n", " ax.tick_params(axis='both', left=True, labelleft=False)\n", " \n", "ax_g.set_xlabel('Rank', ha='right', x=1)\n", "ax_r4.set_xlabel(r'Mean abundance $\\times$ self-interaction', ha='right', x=1)\n", "\n", "ax_nc.scatter(np.arange(1, N+1), noisecolor, c='grey')\n", "#ax.set_yscale('log')\n", "ax_nc.tick_params(axis='both', bottom=True, labelbottom=False)\n", "ax_nc.set_ylabel('Slope power \\n spectral density')\n", "for i, c in zip(idces, colors):\n", " ax_nc.scatter([i+1], noisecolor[i], s=ps, c=c)\n", " ax_nc.plot([i+1, N+10], [noisecolor[i],noisecolor[i]], c=c, ls=':')\n", "ax_nc.set_xlim([-5,N+5])\n", "\n", "ax_ma.scatter(np.arange(1, N+1), steadystate, c='grey')\n", "ax_ma.set_yscale('log')\n", "for i, c in zip(idces, colors):\n", " ax_ma.scatter([i+1], steadystate[i], s=ps, c=c)\n", " ax_ma.plot([i+1, N+10], [steadystate[i],steadystate[i]], c=c, ls=':')\n", "ax_ma.tick_params(axis='both', bottom=True, labelbottom=False)\n", "ax_ma.set_ylabel('Abundance')\n", "\n", "ax_si.scatter(np.arange(1, N+1), -selfints, c='grey')\n", "for i, c in zip(idces, colors):\n", " ax_si.scatter([i+1], -selfints[i], s=ps, c=c)\n", " ax_si.plot([i+1, N+10], [-selfints[i],-selfints[i]], c=c, ls=':')\n", "ax_si.set_ylabel('Self-interaction')\n", "ax_si.set_yscale('log')\n", "ax_si.set_ylim([1e-4, 1e0])\n", "\n", "ax_g.scatter(np.arange(1, N+1), growth_rate, c='grey')\n", "for i, c in zip(idces, colors):\n", " ax_g.scatter([i+1], growth_rate[i], s=15, c=c)\n", " ax_g.plot([i+1, N+10], [growth_rate[i],growth_rate[i]], c=c, ls=':')\n", "ax_g.set_ylabel('Growth rate')\n", "\n", "x = np.logspace(-3,6,100)\n", "ax_r1.plot(x, sigmoid(x), 'k', linewidth=1)\n", "for i, c in zip(idces, colors):\n", " si = find_ss_selfint(noisecolor[i])\n", " xx = si\n", " yy = sigmoid(si)\n", " ax_r1.scatter([xx], [yy], s=15, c=c)\n", " ax_r1.plot([1e-4, xx], [yy,yy], c=c, ls=':')\n", " ax_r1.plot([xx,xx], [-3,yy], c=c, ls=':')\n", "ax_r1.set_xscale('log')\n", "ax_r1.set_ylim([-2.5,0.5])\n", "\n", "for i, c in zip(idces, colors):\n", " sssi = find_ss_selfint(noisecolor[i])\n", " xx = sssi\n", " yy = steadystate[i]\n", " #ax_r2.scatter([xx], [yy], s=15, c=c)\n", " ax_r2.scatter([yy], [yy], s=15, c=c)\n", " #ax_r2.plot(x, yy/xx*x , c=c, linewidth=1)\n", " ax_r2.plot([xx, xx], [1e1,5e4], c=c, ls=':')\n", " ax_r2.plot([0, yy], [yy,yy], c=c, ls=':')\n", " ax_r2.plot([yy, yy], [1e1,yy], c=c, ls=':')\n", "ax_r2.plot(x, x, c='k', linewidth=1, label='y = x')\n", "ax_r2.set_xscale('log')\n", "ax_r2.set_ylim([5e1, 5e4])\n", "ax_r2.legend(loc=4)\n", "\n", "x = np.logspace(-10,5,100)\n", "for i, c in zip(idces, colors):\n", " xx = find_ss_selfint(noisecolor[i])\n", " yy = xx/steadystate[i] # selfinteraction[i]\n", " ax_r3.scatter([xx], [yy], s=15, c=c)\n", " ax_r3.scatter([steadystate[i]], [1], s=10, c=c)\n", " ax_r3.plot(x, yy/xx*x , c=c, linewidth=1)\n", " ax_r3.plot([0, xx], [yy,yy], c=c, ls=':')\n", " ax_r3.plot([xx, xx], [1e-4,10], c=c, ls=':')\n", " ax_r3.plot([steadystate[i], steadystate[i]], [1e0,1e1], c=c, ls=':')\n", "ax_r3.axhline(y=1, c='k', label='y = 1')\n", "ax_r3.set_ylim([5e-4, 5e0])\n", "line = [[(0, 0)]]\n", "lc = mcol.LineCollection(line, linestyles = ['solid'], colors = ['black'])\n", "lc2 = mcol.LineCollection(3 * line, colors=colors)\n", "ax_r3.legend([lc, lc2], ['y = 1', 'y = x/(mean \\n abundance)'], handler_map={type(lc): HandlerDashedLines()},\n", " handlelength=1, handleheight=1)\n", "handle, label = ax.get_legend_handles_labels()\n", "\n", "\n", "#ax_r3.legend(loc=4)\n", "\n", "ax_r4.plot(x, x, c='k', linewidth=1, label='y = x')\n", "for i, c in zip(idces, colors):\n", " xx = find_ss_selfint(noisecolor[i])\n", " yy = xx\n", " ax_r4.scatter([xx], [yy], s=15, c=c)\n", " ax_r4.plot([0, xx], [yy,yy], c=c, ls=':')\n", " ax_r4.plot([xx,xx], [yy,50], c=c, ls=':')\n", " \n", "ax_r4.set_xlim([1e-1, 1e5])\n", "ax_r4.set_ylim([0, 40])\n", "ax_r4.legend(loc=4)\n", "\n", "fig.align_labels()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 193, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:10:07.581758Z", "start_time": "2020-02-19T11:09:57.209079Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 471.969x216 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 471.969x216 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAADxCAYAAAA5tVf1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAATg0lEQVR4nO3df4xc1XnG8edd29DY5Udtb0uIC9u6SZMWqxFMGq3aqHZClFRBqBgUqWntmDoeTCENVUsTRKFS2shWUKU0SkLY2ALZuGqjhCCjqlEFxCWVVk3GFY1xWkFBBrsWaMAUKDTg3Xn7x8zsjq9ndmbuj7n3nvl+JMuee3c8Z4fh2dfvPedcc3cBAMptIu8BAACSI8wBIACEOQAEgDAHgAAQ5gAQAMIcAAKwfNQvuHbtWp+amhr1ywJAqR0+fPhFd5/sdX7kYT41NaVarTbqlwWAUjOzZ5c6T5sFAAJAmANAAAhzAAgAYQ4AASDMASAAhDkABIAwB4AAEOZIbPbYKe165CnNHjuV91CAsTXyRUMIy+yxU7rynlm9NdfQOcsn9PAN05qeWp33sICxQ2WORA49/ZLemmto3qW35ho69PRLeQ8JGEuEORLZuH6Nzlk+oWUmnbN8QhvXr8l7SMBYos2CRKanVuvhG6Z16OmXtHH9GlosQE4IcyQ2PbWaEAdyRpsFAAJAmANAAAhzAAgAYQ4AASDMASAAsWezmNkqSV+T9JakQ+5+oHX8c5LWS7pI0o3ufiKNgaKcZo+dYtoiMAJJpiZulvQtd3/IzP5e0gFJcvfdkmRm10jaJGl/4lGilFjqD4xOkjbLOknHW3+e7zxhZj8t6eOSHow+qV6vq1KpLPyamZlJMASkLc1Ns1jqD4xOksr8hJqB/rg6fiiY2fmSvirpz9z9teiTJicnVavVErwsspJ2Jd1e6t/++1jqD2QnSWX+gKRrzexuSQ+ZWbudcp+kCyXdbmYfTDg+jFDalXR7qf/nP/puWixAxmJX5u7+uqTrOw61e+abkw4K+ciikmapPzAa7M2CBWyaBZQXYY4zDFpJM+UQKBbCHENjyiFQPKwAxdCYcggUD2GOoXF3IaB4aLNgaFwoBYqHMEcsTDkEioU2CxakuZQfwGhRmUMSM1SAsqMyhyRmqABlR5hDEjNUgLKjzRKIpCsymaEClBthHoC0+t3MUAHKizZLAOh3AyDMA0C/GwBtlgDQ7wZAmAeiiP3u9kXZtStX6MU3TvODBsgQYY5MtC/KvjnXUMOb/bxzV7AYCcgKPXNkon1RtuHNxw1xcRbIEmGOTLQvyk5Y8/GEuDgLZIk2CzLReVGWnjmQPcIcmSniRVkgVLRZACAAhDkAZGwU9wqI3WYxs1WSvibpLUmH3P1A6/hlkm5rfdkud38i8SgBoKRGda+AJJX5Zknfcvcdkq7uOP4ZSTdJ+kNJn07w9wNA6Y1q76QkYb5O0vHWn+c7jl/g7v/j7q9IOi/6pHq9rkqlsvBrZmYmwRAAoNhGtXdSktksJ9QM9Md15g+FV8zsAkku6bXokyYnJ1Wr1RK8LACUx6j2TkoS5g9I+oqZfUzSQ2a23923SPobSV+WZJK+mMIYEZCkN9Eoq3H9vtE0imm6scPc3V+XdH3HoQOt409I+mTCcSFA0QtBX7r6Vwu5mCjt4OVm2RgFFg0FpOjVX+eFoDdPN3Tzd55Qw71QAZdF8Ha7AFaE7xVhYZ55INohdOd3/1NX3jOb6XzWuDovBE1MmObdC3d3pCxmHnDzEIwClXkgylD9RfdrueXg0YUKuCgB1w7eNMfFzUMwCoR5ILIIoSx0Xgi67O3nFy7gsgpe9qlB1szdR/qClUrFmZqYjaL3zAHEZ2aH3b3S6zyVeUCo/oDxxQVQAAgAYQ4AASDMASAAhDkWJNlzeRT7NQPojQugY2Sp2S5JVj6yXB3IH5X5mOi3QjTJysdR7dcMoDfCvKSGbWv0C9wkS85Zrg7kjzZLCcVpa/RbIZpk5SPL1YH8EeYl1Fll/+R0Q/tqJ/oG6CCBm2TREQuWgHwR5iW0cf0aLZswzc+7XNKeHzyny99xvnZMTy35PAIXCBc98xKanlqt6993iaz1eL7huuk7TzAtEBhjhHlJba2s0/IJW3jcaDizSIAxRpiX1PTUan3lmsu0fMI0IencFcWaRbLUbBsWGAHpo2deYjumpwq5J/hSs21YYARkg8p8jGVVIS81p50FRkA2qMxLavbYKe2rndC9P3xO843hb4qcZYW81Jz2stwRCSgbwryE2kH8k9MNte8TFb3vZ7+7DmV5z9Cl5rSzwAjIBmFeQu0gbge56cxl9INU3YNUyEluQ7fUnHbmuwPpixXmZnaxpLskzUu6192/13HuLkmrJV0oaZu7v5bGQLGoM4iXL5vQtsrPa2tl3UJADlJ196uQuVAJlEvcyny7pN2Sjkq6X9JCmLv7rZJkZn8s6b2Svp9wjIjoF8Rxqu5vzB7Tt488r2s3XKQd01OZtmEApK9vmJvZBkm7Iofrko67e8PMuj3nIkkVSV9OY5A4W782xjBV96d/Y0pfPPSMJOmfnqxLyu9CZZLWDjDO+oa5ux+RdFXnMTO7Q9I6M3s1+vVm9g41q/ab3H0+er5er6tSqSw8rlarqlarMYaOpSwV9tGq+4EnXjjj/LePPK8d01Mjv1BJaweIL26bZa+agT0naY8kmdl+d98i6aCkJyXtNrO73f3fO584OTmpWq2WYMjoFKeSjVbdmy/7uYXKXJKu3XBRLhUyrR0gvlhh7u4nJW2NHNvS+v2KFMaFAXSrZCX1DeFubZj1a1Yt9Mwve/v5uVTIzEEH4mNqYolFK9l9tRPad/j4QCEcbcPsmJ5a2EJ31yNP5VIhMwcdiI8wL7FoJSsplRDOs0JmDjoQD2FeYtFKVtIZlXncEKZCBsrH3L3/V6WoUqk4F0Czk8WFS6YLAvkzs8PuXul1nso8ANGwTTNwmS4IlANhXmCDVMRZhy3TBYFyIMwLatCQzjps2zePbsy7lk0Y0wWBguLmFAU16E0c2jNPlpkym3nS3rKh29YNAIqByrygOqcHLpswPffy/2n22Kmhdz9M6tDTL2luvrnd7tw8bRagqKjMC6od0p96/6UyM+3512d15T2zXW/xNj21Wrd96J2ZhOwoKn8AyVGZF9j01OqFyrhfT7x9G7nnX3tTF5137hn7m3f72kEreeacA+VAmBfcoHuTf/Drs3pzrrFw7L7acT268+yLpnFmv7AqEyg+wryAopXzwzdMa1/tRM+vb18s7dSrimeqIRAmwrxgeu2E2F6mv+/w8bOq6Xb13lmZ96ri2ZkQCBNhXjC9piQuVU1PT63WozunB+qZ0wMHwkSYF0y0cl67coX+7b9f1fJlE9J872p6mL42PXAgPIR5wXRWzmtXrtAtB48uzDX/1PsvXXKWCoDxxTzzAmrPG3/xjdML7ZX5huuSn3kbQQ6gK8K8wFiwA2BQtFlyMsjCHS5WAhgUYZ6DYRbucLESwCBos+Rg0B0RAWBQhHkO6IUDSBttlpSweRWAPBHmKWDzKgB5i9VmMbOLzeyAme0zs01dzn/EzP4r+fDKgR44gLzF7Zlvl7Rb0jZJOzpPmNmFkjZKejzJwMqEHjiAvPVts5jZBkm7Iofrko67e6PLfSFvb339TLe/r16vq1KpLDyuVquqVqvDjLlwitgDH6aHD6D8+oa5ux+RdFXnMTO7Q9I6M3s1cnyVpF+SdKekXzOz33f3+zu/ZnJyUrVaLfHAiybrHvgw4TxsD5/gB8ov7gXQvWq2WeYk7ZEkM9vv7lskXdN6vC4a5Ihn2HCO9vD31U70DOs4F28BFE+sMHf3k5K2Ro5tiTy+LsG40GHYuwN1bqO7bMJ0X+245ua7hzV3HgLCwKKhApg9dkq7HnlKs8dOdT0/7AXWdg//8x99t65/3yVn3RA6yd8NoJiYZ56zQdoccS6wtnv4s8dOLdxyrltYF/HiLYDhEeY5G7TNEb3AOuhFy0HCmgVMQPkR5iPSK3zj3GC5VzXf6zUIayB8hPkILNVKidPm6LXitMizUpj+CGSLMB+Bfq2UYSvnbtV8kWelMP0RyB5hPgJxWilL6VXNp/kaaSryDxogFIT5CCSZMTJoH7zIs1LS/mEG4Gzm7iN9wUql4iEu5+8lSa84pPYEPXMgGTM77O6VXuepzDOUNIxDak8wowbIFitAM5R0n3NWZwIYFJV5iqKthKS94iL3wQEUC2Gekl4tFcIYwCiUJsyLfgGtV387Sa84pAugALJVijAvQ6hlMf0upAugALJVijAvQ6hl0VJhfjaAQZUizMsSamlPv6PnDmBQpVk0VPSeOQBkKZhFQyw6AYDeWDQEAAEgzAPW796iRVXWcQN5Kk2bBcMZ9m5ERVGGaahAERHmgSrj3YikckxDBYqINkugum3SlXTjr1FgczEgnliVuZldLOkuSfOS7nX373Wce4+km1vnvu7uP05joBhO2e5G1MbceiCeWPPMzewOSQ9KOirpfnf/RMe5vZJekHSupC+4+xlXscbt5hTd5Nm3LnrPHEB3ieeZm9kGSbsih+uSjrt7w8yiT7lC0m9JWifpFkl3nvHEel2VyuJ4qtWqqtVqv2EEI+8LfMzXB8LUN8zd/YikqzqPtSrzdWb2apenPCPpdUkvSzovenJyclLjXJkX6QIfVToQjrizWfZK2i1pTtIeSTKz/e6+RdKXJN0j6RxJf5XGIENSlH1m8v4XAoB0xQpzdz8paWvk2JbW749Jeiz50MJUlAt8RfoXAoDkmGeegyL0rYvyLwQA6SDMx1RR/oUAIB2E+Rgrwr8QAKSDFaAAEADCHAACQJgDQAAIcwAIAGEOAAEgzAEgAIQ5AASgNGHOfSHDxH9XIB2lWDTEplBh4r8rkJ5SVOZ53+6M6jEbef93BUJSiso8z02hqB6zw2ZfQHpKEeZ5bgo1zFax3OxhOGz2BaSnFGEu5bcp1KDVIxV8PGz2BaSjNGGel0GrR272ACBPhPkABqke6f8CyBNhnhL6vwDyRJiniP4vgLyUYp45AGBphDkABGBswpxVnABCNhY9c+aAAwhdrMrczC42swNmts/MNkXObTezvzWzB8zsvekMMxn2AAEQurhtlu2SdkvaJmlH5NwHWsfukjQde2Qpas8BX2bSOcsntHblClouAILSt81iZhsk7Yocrks67u4NM4s+5ZuSvitphaRr0xhkUp1zwNeuXKFbDh6l5QIgKH0rc3c/4u5Xdf6S9IykdWbW7fk73f0Dkq6TdGv0ZL1eV6VSWfg1MzOT+JsYxPTUat32oXfqxTdO03JJiIvJQPHEvQC6V802y5ykPZJkZvvdfYukfzazb0g6v32u0+TkpGq1WsyXTW6YjbNYzXk2LiYDxRQrzN39pKStkWNbWr//dQrjyswgy+4JrN7YUAwoprGYmhjVb9k9gdUbG4oBxTSWYd4PgdUbG4oBxWTuPtIXrFQqnmfPfFD0zAEUiZkddvdKr/NU5h2iAU6IAygLwryFi54AyiyIjbbSmPfMkn8AZVb6yjytipqLngDKrPRhntY0QmZpACiz0od5mhU1Fz0BlFXpw5yKGgACCHOJihoAgpjNAgDjjjAHgAAQ5gAQAMIcAAJAmKeMu/AAyEMQs1mKgv1dAOSFyjxF7O8CIC+EeYraq1GXmdjfBcBI0WZJEatRAeSFME8Zq1EB5GGs2yzMPAEQirGtzJl5AiAkY1uZM/MEQEjGNsyZeQIgJLHaLGb265L+RNJxd//TyLlNkra1/u5b3f1k0kFmgZknAEISK8zd/Qdm9llJN3c5vVPS70r6FUnbJf1l/OFli5knAELRN8zNbIOkXZHDf7DUU9y9YWbPSloXPVmv11WpVBYeV6tVVavVAYebntljp6jKAQSjb5i7+xFJV0WPm9lUj6c0zGxC0iWSTkRPTk5OqlarDTfKlDGTBUBoYl0ANbN3SfqCpCvNrNo6tr91ekbSHkmfk7Q3jUGmjZksAEITt2f+pKTfixzb0vr9UUmPJh9adtozWdqVOTNZAJTdWC4aYiYLgNCMZZhLzGQBEJaxXTQEACEhzAEgAIQ5AASAMAeAABDmIzYzM5P3EAqD92IR78Ui3otFw7wXhPmI8UFdxHuxiPdiEe/FIsIcAMaMuftoX9CsLunZkb5osayV9GLegygI3otFvBeLeC8Wdb4Xl7r7ZK8vHHmYAwDSR5sFAAJAmANAAMZ2b5ZRMrNflHS7pAvc/Toz+4SkTZLOlXSju7+e6wBHxMx+R9LHJP2spK9K2iDpFyStkLTTx6jnZ2bvkfQZNXuij0h6RWP4mWgzs1WSHpP0F5J+WeP7udio5t3Zjkr6O0lXaMD3gsp8BNz9GXff3nHoGnffIembkjbnNKyRc/cHW9/3NjVvLXi5u98s6Yik38xzbKPm7v/h7jslfVxSRWP6mejwWTW/9wmN8edCkkv6X0k/JemkhngvCPN8tH+6dr213hj4czVvYFJvPR7L98HMrpb0L2pW5mP7mTCzKyX9WNILki7QeH8uvu/uv63mD7e7NcR7QZslX11vrRcqMzNJuyX9o6QfSrqxdeoSST/Ka1x5cfeDkg6a2T9IardVxuoz0bJJ0io1bwI/L+nl1vGx+1y4e6P1x5fVbL2tbT3u+14wNXEEzGyNmrfZ+7CaFemzkj4g6W2SbhqX/qiZ/ZGkT6oZ5I9LWinpUi32icfmw9jqjW5W83v/kZr/847dZ6KTmW1Tc071uzS+n4vNkj4i6UI1K/PLNeB7QZgDQADomQNAAAhzAAgAYQ4AASDMASAAhDkABIAwB4AAEOYAEID/Bx20L+YGzHxHAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 80\n", "\n", "new = True\n", "save = False\n", "\n", "if new:\n", " def find_ss_selfint(x):\n", " amplitude = 2.10E+00 \n", " x0 = 2.87E+00\n", " k = 1.14E+00\n", " offset = -1.77E+00\n", "\n", " return 10**( -1/x0 * np.log(amplitude/(x-offset) - 1) + k)\n", "\n", " params = {}\n", "\n", " steadystate = (experimental['steady_state'].values[:N]).reshape([N, 1]) * 10\n", "\n", " selfints = -find_ss_selfint(experimental_noise_color['slope_linear'].values[:N]) / steadystate.flatten()\n", "\n", " #print('self interaction', selfints)\n", "\n", " # interaction\n", " omega = np.zeros([N,N]); np.fill_diagonal(omega, selfints) #np.random.uniform(-1, 0, N)) # np.random.normal(0,0.02,[N, N]);\n", "\n", " params['interaction_matrix'] = omega\n", "\n", " # no immigration\n", " params['immigration_rate'] = np.zeros([N, 1])\n", "\n", " # different growth rates determined by the steady state\n", " params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", " #print('growth_rate', params['growth_rate'].flatten())\n", "\n", " params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", " params['noise'] = 2.5\n", "\n", " params['noise_linear'] = 2.5\n", " params['noise_sqrt'] = 0 #0.005*steadystate #*np.sqrt(steadystate)\n", "\n", " ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR_SQRT, \n", " dt = 0.01, tskip=19, T=50.0, seed=int(time.time())).timeseries\n", " \n", " if save:\n", " ts.to_csv(folder + 'rescaled_timeseries.csv', index=False)\n", " np.savetxt(folder + 'rescaled_interactionmatrix.txt', omega)\n", " np.savetxt(folder + 'rescaled_growth_rate.txt', params['growth_rate'])\n", "else:\n", " ts = pd.read_csv(folder + 'rescaled_timeseries.csv')\n", " \n", " \n", "fig = plt.figure(figsize=(0.9*ELIFE.FULLWIDTH,3))\n", "\n", "PlotTimeseriesComparison([ts], composition=['ts'], vertical=False, fig=fig)\n", "\n", "fig = plt.figure(figsize=(0.9*ELIFE.FULLWIDTH,3)) #poster\n", "\n", "PlotTimeseriesComparison([ts], composition=['nc', 'dx', 'disdx', 'ra', 'nn'], vertical=False, fig=fig) #, ffig = 'figures/interaction_rescaled_model.png')\n", "\n", "ns = noise_color(ts)['slope_linear']\n", "plt.figure()\n", "plt.scatter(-selfints*steadystate.flatten(), ns.values)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 190, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:08:57.335350Z", "start_time": "2020-02-19T11:08:47.107907Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 471.969x216 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 471.969x216 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 80\n", "\n", "new = False\n", "save = False\n", "\n", "if new:\n", " def find_ss_selfint(x):\n", " amplitude = 2.10E+00 \n", " x0 = 2.87E+00\n", " k = 1.14E+00\n", " offset = -1.77E+00\n", "\n", " return 10**( -1/x0 * np.log(amplitude/(x-offset) - 1) + k)\n", "\n", " params = {}\n", "\n", " steadystate = (experimental_abundance[:N]).reshape([N, 1]) * 10\n", "\n", " selfints = -find_ss_selfint(experimental_noise_color['slope_linear'].values[:N]) / steadystate.flatten()\n", "\n", " print('self interaction', selfints)\n", "\n", " # interaction\n", " omega = np.zeros([N,N]); np.fill_diagonal(omega, selfints) #np.random.uniform(-1, 0, N)) # np.random.normal(0,0.02,[N, N]);\n", "\n", " params['interaction_matrix'] = omega\n", "\n", " # no immigration\n", " params['immigration_rate'] = np.zeros([N, 1])\n", "\n", " # different growth rates determined by the steady state\n", " params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", " print('growth_rate', params['growth_rate'].flatten())\n", "z\n", " params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", " params['noise'] = 2.5\n", "\n", " params['noise_linear'] = 2.5\n", " params['noise_sqrt'] = 0 #0.005*steadystate #*np.sqrt(steadystate)\n", "\n", " ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR_SQRT, \n", " dt = 0.01, tskip=19, T=50.0, seed=int(time.time())).timeseries\n", " \n", " if save:\n", " ts.to_csv(folder + 'rescaled_timeseries.csv', index=False)\n", " np.savetxt(folder + 'rescaled_interactionmatrix.txt', omega)\n", " np.savetxt(folder + 'rescaled_growth_rate.txt', params['growth_rate'])\n", "else:\n", " ts = pd.read_csv(folder + 'rescaled_timeseries.csv')\n", " \n", " \n", "fig = plt.figure(figsize=(0.9*ELIFE.FULLWIDTH,3))\n", "\n", "PlotTimeseriesComparison([ts], composition=['ts'], vertical=False, fig=fig)\n", "\n", "\n", "fig = plt.figure(figsize=(0.9*ELIFE.FULLWIDTH,3)) #poster\n", "\n", "PlotTimeseriesComparison([ts], composition=['nc', 'dx', 'disdx', 'ra', 'nn'], vertical=False, fig=fig) #, ffig = 'figures/interaction_rescaled_model.png')\n", "\n", "ns = noise_color(ts)['slope_linear']\n", "\n", "plt.figure()\n", "plt.scatter(-selfints*steadystate.flatten(), ns.values)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 189, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:08:15.798164Z", "start_time": "2020-02-19T11:08:14.923908Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x216 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,3))\n", "gs = gridspec.GridSpec(1,2,wspace=0.5,hspace=0.5)\n", "\n", "def fit_ratio(x):\n", " x = [x1/x2 for x1, x2 in zip(x[:-1], x[1:]) if x1 != 0 and x2 != 0]\n", "\n", " if len(x) > 5:\n", " a, b, c = stats.lognorm.fit(x, floc=0) # Gives the paramters of the fit\n", " stat, pval = stats.kstest(x, 'lognorm', args=((a, b, c)))\n", "\n", " return a, b, c, stat, pval\n", " else:\n", " return (np.nan, np.nan, np.nan, np.nan, np.nan)\n", " \n", "cmap = plt.cm.get_cmap('coolwarm')\n", "\n", "ax1 = fig.add_subplot(gs[0])\n", "ax2 = fig.add_subplot(gs[1])\n", " \n", "# plot different mean abundances, first sort the species\n", "sorted_idces = ts.mean().sort_values().index.tolist()[::-1]\n", "sorted_idces.remove('time')\n", "\n", "mean = ts.mean()\n", "\n", "for i, ax in zip([sorted_idces[3], sorted_idces[-3]], [ax1, ax2]):\n", " x = ts[i].values\n", " x_transf = [x1/x2 for x1, x2 in zip(x[:-1], x[1:]) if x1 != 0 and x2 != 0]\n", " \n", " a, b, c, stat, pval = fit_ratio(x) # b = 0, c = 1\n", "\n", " x_fit = np.linspace(0,5,100)\n", " pdf_fitted = stats.lognorm.pdf(x_fit,a,b,c) #Gives the PDF\n", "\n", " ax.hist(x_transf, alpha=0.4, label='%.1E' % mean[i], density=True, bins = np.linspace(0,20,161))\n", " c = cmap(pval)\n", " ax.plot(x_fit, pdf_fitted, c=c, label='%.2f'%a)\n", "\n", " ax.set_xlim([-0.1,3])\n", " ax.legend() #loc=3)\n", " #ax.set_yscale('log')\n", " ax.set_ylabel('Count')\n", " ax.set_xlabel('Ratios successive abundances')\n", " ax.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 191, "metadata": { "ExecuteTime": { "end_time": "2020-02-19T11:09:13.253419Z", "start_time": "2020-02-19T11:09:04.042459Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1133.86x198.425 with 7 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new = False\n", "\n", "if new:\n", " N = 90\n", " params = {}\n", "\n", " steadystate = (experimental_abundance[:N]).reshape([N, 1])\n", "\n", " # interaction\n", " omega = np.zeros([N,N]); np.fill_diagonal(omega, -1) # np.random.normal(0,0.02,[N, N]);\n", "\n", " omega /= steadystate * 0.2\n", "\n", " params['interaction_matrix'] = omega\n", "\n", " # no immigration\n", " params['immigration_rate'] = np.zeros([N, 1])\n", "\n", " # different growth rates determined by the steady state\n", " params['growth_rate'] = - (omega).dot(steadystate)\n", "\n", " params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", " params['noise'] = 2.0\n", "\n", " params['noise_linear'] = 1.0 #1.5 #5e-1\n", " params['noise_sqrt'] = 3.0 #3.5 #5e-2\n", "\n", " ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, #_SQRT, \n", " dt = 0.01, tskip=49, T=100.0, seed=int(time.time())).timeseries\n", "else:\n", " ts = pd.read_csv(folder + 'rescaled_timeseries.csv')\n", "\n", "fig = plt.figure(figsize=(40/2.54,7/2.54))\n", "\n", "PlotTimeseriesComparison([ts], composition=['ts', 'nc', 'dx', 'disdx', 'ra', 'nn'], vertical=False, fig=fig) #, ffig = 'figures/interaction_rescaled_model.png')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, 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