{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Standard imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T10:24:00.906814Z", "start_time": "2020-02-21T10:24:00.400233Z" } }, "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": 76, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:41:55.375729Z", "start_time": "2020-02-21T12:41:55.343587Z" } }, "outputs": [], "source": [ "#import matplotlib as mpl\n", "#from noise_analysis import noise_color\n", "#from scipy import stats\n", "from noise_properties_plotting import noise_cmap_ww , noise_lim#, PiecewiseNormalize, \\\n", "# PlotTimeseriesComparison, PlotNoiseColorComparison\n", "from generate_timeseries import Timeseries, is_stable\n", "#from noise_parameters import NOISE, MODEL\n", "from math import ceil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Settings figures" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T10:24:03.462285Z", "start_time": "2020-02-21T10:24:03.038309Z" } }, "outputs": [], "source": [ "from elife_settings import set_elife_settings, ELIFE\n", "\n", "set_elife_settings()" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:36:47.726384Z", "start_time": "2020-02-21T12:36:47.682345Z" } }, "outputs": [], "source": [ "def plot_overview(file, num=0):\n", " x = ['noisecolor_mean', 'noisecolor_std', 'KL', 'means', 'stds'] #, 'NCT']\n", " labels = ['noise mean', 'noise std', r'log$_{10}$(KL)', 'mean', 'std'] #, r'log$_{10}(p_{NCT})$']\n", " \n", " if num == 0:\n", " data = [ pd.read_csv(file % s, index_col=0) for s in x]\n", " else:\n", " data = [ pd.DataFrame( np.nanmean(\n", " [pd.read_csv(file % (s, iii), index_col=0).values \n", " for iii in num], axis=0),\n", " columns = pd.read_csv(file % (s, num[0]), index_col=0).columns,\n", " index = pd.read_csv(file % (s, num[0]), index_col=0).index) for s in x]\n", "\n", " gs = gridspec.GridSpec(3,9,width_ratios=[8,1,4,8,1,4,8,1,0], hspace=0.7, wspace=0.3)\n", "\n", " fig = plt.figure(figsize = (15,7))\n", "\n", " for i, df in enumerate(data):\n", " ax = fig.add_subplot(gs[3*i])\n", " ax_clb = fig.add_subplot(gs[3*i+1])\n", " ax.set_facecolor('lightgrey')\n", "\n", " if x[i] == 'noisecolor_mean':\n", " mat = ax.matshow(df.T, origin='lower', cmap=noise_cmap_ww, vmin=noise_lim[0], vmax=noise_lim[1], aspect='auto')\n", " elif x[i] == 'KL':\n", " mat = ax.matshow(np.log10(df.T), origin='lower', cmap='Blues', aspect='auto', vmin=-1, vmax=3)\n", " elif x[i] == 'NCT':\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 = ax.matshow(np.log10(df.T), origin='lower', norm=norm, cmap='seismic_r', aspect='auto', vmin=vmin, vmax=vmax)\n", " else:\n", " mat = ax.matshow(df.T, origin='lower', aspect='auto')\n", " ax.set_xticks(range(0, df.shape[0], 2))\n", " ax.set_xticklabels(['%.2f' % i for i in df.index][::2])\n", " ax.set_yticks(range(0, df.shape[1], 2))\n", " ax.set_yticklabels(['%.1f' % i for i in df.columns.astype(float)][::2])\n", " ax.set_xlabel('Interaction')\n", " ax.set_ylabel('Noise')\n", "\n", " ax.set_title(labels[i], y=1.2)\n", "\n", " clb = fig.colorbar(mat, cax=ax_clb)\n", " \n", " if x[i] == 'NCT':\n", " ax_clb.set_title(r'log$_{10}$($p_{NCT}$)')\n", " ax_clb2 = ax_clb.twinx()\n", " ax_clb2.yaxis.set_ticks_position('right')\n", " ax_clb.yaxis.set_ticks_position('left')\n", " ax_clb2.yaxis.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_ylim([0,1])\n", " ax_clb2.yaxis.set_ticklabels(['niche','neutral'])" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:40:29.961575Z", "start_time": "2020-02-21T12:40:29.913091Z" } }, "outputs": [], "source": [ "class PlotOverview:\n", " def __init__(self, files, composition=['noisecolor_mean', 'noisecolor_std', 'KL', 'means', 'stds', 'NCT']):\n", " if isinstance(files, str):\n", " files = [files]\n", "\n", " labels = {'noisecolor_mean': 'noise mean', 'noisecolor_std' : 'noise std', 'KL': r'log$_{10}$(KL)',\n", " 'means': 'mean', 'stds': 'std', 'NCT': r'log$_{10}(p_{NCT})$'}\n", "\n", " self.data = {}\n", "\n", " for c in composition:\n", " median_vals = np.nanmedian([pd.read_csv(file % c, index_col=0).values for file in files], axis = 0)\n", "\n", " self.data[c] = pd.DataFrame(median_vals.T, \n", " columns = pd.read_csv(files[0] % c, index_col=0).index,\n", " index = pd.read_csv(files[0] % c, index_col=0).columns)\n", "\n", " gs = gridspec.GridSpec(ceil(len(composition)/3), 9, width_ratios=[8, 1, 4, 8, 1, 4, 8, 1, 0],\n", " hspace=0.7, wspace=0.3)\n", " gs_tot = gridspec.GridSpec(1,1, left=0.05, right=0.95, top=0.95, bottom=0.05)\n", " \n", " self.fig = plt.figure(figsize=(10, 2*ceil(len(composition)/3)))\n", " \n", " ax = self.fig.add_subplot(gs_tot[:], frameon=False)\n", " ax.tick_params(axis='both', left=False, labelleft=False, bottom=False, labelbottom=False)\n", " ax.set_xlabel('Interaction')\n", " ax.set_ylabel('Noise')\n", " \n", " for i, c in enumerate(composition):\n", " ax = self.fig.add_subplot(gs[3*i])\n", " ax_cbar = self.fig.add_subplot(gs[3*i+1])\n", " \n", " ax.set_title(labels[c], y=1.2)\n", "\n", " self.plot_matrix(c, ax, ax_cbar)\n", " \n", " def plot_matrix(self, c, ax, ax_cbar):\n", " ax.set_facecolor('lightgrey')\n", " if c == 'noisecolor_mean':\n", " mat = ax.matshow(self.data[c], origin='lower', cmap=noise_cmap_ww,\n", " vmin=noise_lim[0], vmax=noise_lim[1], aspect='auto')\n", " elif c == 'KL':\n", " mat = ax.matshow(np.log10(self.data[c]), origin='lower',\n", " cmap='Blues', aspect='auto', vmin=-1, vmax=3)\n", " elif c == 'NCT':\n", " vmin = -5; vmax = 0 # pvalue is max 1 = 1e0\n", " norm = PiecewiseNormalize(\n", " [vmin, np.log10(0.05), vmax], [0, 0.5, 1])\n", " mat = ax.matshow(np.log10(self.data[c]), origin='lower', norm=norm,\n", " cmap='seismic_r', aspect='auto', vmin=vmin, vmax=vmax)\n", " else:\n", " mat = ax.matshow(self.data[c], origin='lower', aspect='auto')\n", " ax.set_xticks(range(0, self.data[c].shape[1], 2))\n", " ax.set_xticklabels(['%.2f' % i for i in self.data[c].columns.astype(float)][::2])\n", " ax.set_yticks(range(0, self.data[c].shape[0], 2))\n", " ax.set_yticklabels(['%.1f' % i for i in self.data[c].index.astype(float)][::2])\n", " \n", " clb = self.fig.colorbar(mat, cax=ax_cbar)\n", "\n", " if c == 'NCT':\n", " ax_cbar.set_title(r'log$_{10}$($p_{NCT}$)')\n", " ax_cbar2 = ax_cbar.twinx()\n", " ax_cbar2.yaxis.set_ticks_position('right')\n", " ax_cbar.yaxis.set_ticks_position('left')\n", " ax_cbar2.yaxis.set_ticks([1+(vmin + np.log10(0.05))/(vmax - vmin)/2,\n", " 1+(vmax + np.log10(0.05))/(vmax - vmin)/2])\n", " ax_cbar2.set_ylim([0,1])\n", " ax_cbar2.yaxis.set_ticklabels(['niche','neutral'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fisher Mehta methods\n", "\n", "Generate timeseries" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:11:46.808067Z", "start_time": "2020-02-21T12:11:46.770854Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "S = 50\n", "\n", "lamda = 0.01\n", "mu = 1.0 # mean interaction strength \n", "sigmas = np.arange(0,1.1,0.2) # spread interaction strength\n", "omegas = np.arange(0.1,1.1,0.1) # noise\n", "\n", "Nsteps = 5e5\n", "tskip = 99\n", "dt = 0.005\n", "T = Nsteps*dt \n", "\n", "if new:\n", " for sigma in sigmas:\n", " for omega in omegas:\n", " f = \"KullbackLeibler/Mehta2B/LV-%.2f-%.2f.csv\" % (sigma, omega)\n", " \n", " # interaction\n", " if sigma == 0:\n", " intmat = np.zeros([S,S])\n", " else:\n", " intmat = - np.random.gamma(1/S*(mu/sigma)**2, sigma**2/mu, [S,S])\n", " #intmat = - np.random.gamma(mu/S, sigma**2/S, [S,S])\n", " np.fill_diagonal(intmat, -1)\n", "\n", " # no immigration\n", " mu = np.full([S, 1], lamda)\n", "\n", " # carrying capacity\n", " K = np.ones([S,1])\n", " \n", " # random initialization\n", " initcond = np.random.lognormal(0, omega, [S,1])\n", " \n", " var = intmat, mu, K, initcond\n", " \n", " if os.path.exists(f):\n", " os.remove(f)\n", " #print(\"already exists\")\n", " #else:\n", " Timeseries(var, noise=omega, model = MODEL.GLV,\n", " noise_implementation = NOISE.SQRT_MILSTEIN, #NOISE.LANGEVIN_LINEAR, \n", " dt=dt, T=T, tskip = tskip).timeseries\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the Kullback Leibler divergence. Read the noise colors of the timeseries. Also save the mean abundances." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "if False:\n", " sigmas = np.arange(0,1.1,0.2) # mean interaction strength\n", " omegas = np.arange(0.1,1.1,0.1) # noise\n", " \n", " means = np.zeros((len(sigmas), len(omegas)))\n", " stds = np.zeros((len(sigmas), len(omegas)))\n", " KL = np.zeros((len(sigmas), len(omegas)))\n", " mean_color = np.zeros((len(sigmas), len(omegas)))\n", " std_color = np.zeros((len(sigmas), len(omegas)))\n", " \n", " for i, sigma in enumerate(sigmas):\n", " print(sigma)\n", " for j, omega in enumerate(omegas):\n", " f = \"KullbackLeibler/Mehta2B/LV-%.2f-%.2f.csv\" % (sigma, omega)\n", " \n", " ts = pd.read_csv(f, index_col=0, na_values='NAN')\n", " \n", " if not ts.isnull().values.any(): # no NAN values\n", " means[i,j] = np.mean(ts.values)\n", " stds[i,j] = np.std(ts.values)\n", " \n", " KL[i,j] = KullbackLeibler(ts)\n", " \n", " ns = noise_slope(ts)['slope_linear'].values\n", " \n", " mean_color[i,j] = np.mean(ns)\n", " std_color[i,j] = np.std(ns)\n", " \n", " for array, name in zip([means, stds, KL, mean_color, std_color],\n", " ['means', 'stds', 'KL', 'noisecolor_mean', 'noisecolor_std']):\n", " array = pd.DataFrame(array, index=sigmas, columns=omegas)\n", " array.to_csv('KullbackLeibler/Mehta2B/%s-2.csv' % name)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the Kullback Leibler divergences" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:40:37.016125Z", "start_time": "2020-02-21T12:40:36.043509Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 11 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "folder = 'results/Mehta/'\n", "PlotOverview([folder + 'Mehta-%s' + '-%d.csv' % i for i in range(20)], \n", " composition=['noisecolor_mean', 'noisecolor_std', 'KL', 'means', 'stds'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Our methods\n", "\n", "Now using our method of generating timeseries (linear multiplicative noise and fixing the steady state). " ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "ExecuteTime": { "end_time": "2020-02-21T12:57:44.308797Z", "start_time": "2020-02-21T12:57:44.272177Z" } }, "outputs": [], "source": [ "new = False\n", "\n", "S = 50\n", "\n", "mean_abundance = 10.0; ma = '10'\n", "\n", "sigmas = np.arange(0,0.22,0.03) # mean interaction strength\n", "omegas = np.append([0.01], np.arange(0.2,1.1,0.2)) # noise\n", "\n", "Nsteps = 5e5\n", "tskip = 99\n", "dt = 0.005\n", "T = Nsteps*dt \n", " \n", "if new:\n", " for sigma in sigmas:\n", " for omega in omegas:\n", " f = \"results/neutrality_Langevin_linear_noise/LV-%s-%.2f-%.2f.csv\" % (ma, sigma, omega)\n", " \n", " steadystate = mean_abundance*np.ones([S,1])\n", " initcond = np.copy(steadystate)\n", " \n", " stable = False\n", " \n", " while not stable:\n", " # interaction\n", " if sigma == 0:\n", " intmat = np.zeros([S,S])\n", " else:\n", " intmat = np.random.normal(0, sigma, [S,S])\n", " np.fill_diagonal(intmat, -1)\n", "\n", " # no immigration\n", " mu = np.zeros([S, 1])\n", "\n", " # growthrates determined by the steady state\n", " K = - intmat.dot(initcond).reshape([S,1])\n", " \n", " stable = is_stable(intmat, steadystate, K)\n", "\n", " var = intmat, mu, K, initcond\n", " \n", " if os.path.exists(f):\n", " print(\"already exists\")\n", " else:\n", " run_timeseries_noise(var, noise=omega, f=f, model = MODEL.GLV,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt=dt, T=T, tskip = tskip)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the Kullback Leibler divergence. Read the noise colors of the timeseries. Also save the mean abundances." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.03\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.06\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.09\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.12\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.15\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.18\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.21\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.0\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", "1.0\n", "0.03\n", "0.01\n", "0.05\n", "0.1\n", "0.2\n", "0.4\n", "0.6\n", "0.8\n", 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9CGgBTvYiX8MwBuLJM6yqRoGzvcjLMIzkeNkkfl5Ebgb+AHTEE1V1pYdlGMZe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\nDcdfRvnZ4LS/DLE9VNpYGI1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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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AZdgRSZb48ZDPg8AlQC+n4xuajJqaDgoFO0NqhJNz21LYssgF2wl/IyOq8lmc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\nTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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fW1xvsWpGzCHx4cD/AvYHNiREsftLrPIrwczo7nSFbXb+qolcrq3oVFhzXUQH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\nAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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evOxPgErg58Dr85Xt74r3+3EvTMf6sEYZ4rKGfTtwOLACQFU3iUiDQ/nZY01i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\nqDoFRTenromGYRSWvJvEhmF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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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A1mjK6h4Xf5rTDqGJIUfJ8luT2JK6JOPujCvNaesBqg+o6gs9HBPfPGynHtZ6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\nFmFIlnLVsCDHFocIDYxLMKD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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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7kYQ5w0rtlY5VALcNvI1bBtxCt+hu9IzuSbvwMk+ryT2tGfYJ1DVxMnCa/3Cp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\nHlflS4YYak9qYeW1UUqhl893H+GijrU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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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mj5MGmyoij4pIDxHpLiKPYEUXqxfqOxS9wXBM4qTBXgPEY3XtfG6v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\n/DSn7SIi8DSzqGRNgWVhXZkVdQLp7nD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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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KUumGGl4txTI5FIK0oWS4lbDX+GraH6tR1VzFlOem8O72d6O2b6xWc9c/SAr7\naMWxBDbnEAB8QnB24RyumqLmsM9961yKvcXsTYieUpkcgIfKlRB1qGFjUNZURqIjkSNyj6C0oTS2\nwA7RlkvrPvmok6hsVueyidgisdWTqKLeqGvhj5UwAtQ7oquUmM2AEtiugk7CDu5mlTnkS8sjwQWt\nDnAHwkGSSekqmqePuKCSDBLdKSRIiScUonbaD5V/k5JPnd1BmhTGXF9i1jgcws5ml/rHDU1vH84f\nPkTNJSZq5vO22m3U+mp5dvcHBEefDMCHOz7kb8v/xtUfXm0cV+Wrio42poUFVr+pYwosGEEZgIZh\navmYEthhpGmBGT2hoS1F5UWc9Yaq3vPhzuhypi3BFtLcaQxLCfclpobVsqaanR4S3CkclX8Us/LV\n4PbX5X+lyq8GnJNS1e+bEbSRGQwav2191Xru+/a+LoWgrLGM3KRcUl2palqtVTPzI66VMR0zeCz8\nthYKj6GqWS10t4vYpu7KyvA0z0MrHuLEl0+Mukd06lrD9153LIN4GVAC21XQye1wMd5WhwgF8Ccm\nkSgdtDoBf9h3zElWSfq+oM/Y1uhvJNGl2kwXjvCNbbNR5/KQGgwYlRNE2lBS3WmUaDdtcqRPo/lG\nKQVH8NJZL/HM6c8A8PNPf86xLx3L/cvup6hcBVGqfFXt+r+3eW/Y7wLlG2p4/V6jrzGJSMFrOEwt\nokoJSUgvMMzpjgT24ZUP06AJVKYnutRJS7AFt91NSlK4rlFJhMA+s/YZJWTjz4LT/ojP7iDBkUCm\nJ5NHT3mU2cNms7V2K7Vu5bP+3+Sf8sKcF7imxUFKSLkl3lYvn+7+lBc2vGD8zo4oaywjLymPNHca\nIRmiUWiuTVbEwBk57aS970rDrqxYSZYni+wEVVOrrqWO59c/326/+oisqpKG/S9G15YuBVYIkaPV\nBX5X+zxRCNFvy47a0ly4W2ppTUjnPd+RtDjAGWHduLVJfF8gLLBNgSaSXElw9SIyMkZF3dh1dgdp\nrb7wvGhqHunudIq1wEvkjcx5j8N1SyGjkIlZExmW2r721JUfXMm8BfOiTHKdquYqNYVwiJrTjBJC\nzSRu9jfH1kKR+2rph8kyBEnZhg8byyT2B/2sqVzD+WPOZ2jy0Hb+my6wyRkjjG2tEdM6DxQ9wHfV\n34HTg5z5M5qDPjyO8Fx2ujudGl8NtcOPxI4gZeRspgyeQtKsm0iNEFjdgtB/Z0dEaliA+glnwZkP\nKPP3rAfhJ7FXderasjnQbATCIllVuYpDBx9KckQ2VHlT+2m0yOvzvbe/x7KyZbEj9/tIPBr2GdRi\n83zt8ybAnMTIXsCZlYS7pZYYntebAAAgAElEQVRmdybvBY6jxSlw+yXn1zfwn5IyPJq2iZxKaPQ3\nKvM1fyrpCYOMiCJAnZCk+RqUwAobJGWT5k4joI3cKe6IKGVChjLDNJKc7asBSiRb67YaJppOmjst\nrHXP+gsc96sov1S/kQMyENu/SowwiaW6IVNCIbDZDJM4VjBlXdU6fEEfxww5hsyEzA4FNiF9RLtj\ndbbWqflo3WpJcISnODI9mdS21FLrbyTVnY7QI9DTfkTKb5T/Xt9abwhsZ/6sL+CjylcVLbCBJpX0\nYHfAjMuhcFbMY3Whksh2lkaTv4ld3l2Mzxof5XK0HeCKyou4/pPro7Zd9v5lnPjyiaYJbTwCO0hK\n+TIQApBSBoADWvJcCDFPCPGEEOJNIUSMmHv8JOZl4WmpocmRBcEE/A5wBWCmz8fk1lbcbQRWSkmT\nv8kQrnR3OsXeYl7Z9AobqzfilQHS/D6VyJCcC3aHobEAUpzxrY38wfjotf7rq9ZHfR6aPJSi8iKW\nlC5RyRAn3a4SG4CQDNHgbzDO1RSR2ROSId7c8ib+iOkNr2beJp//DAAOm4MUV0rUQKSzsmIlAFOz\np5LuTjdu5mfXPcuXJV8aAttREAbCgSndavHYwxo2w5NBUAYp9hYbA4eO2+7GZXPFLbDFXpWqOSxl\nGKnaQBmvH6mbxKBynV/f/DpflaipOD2DbXT6aOP8yc7kdtfr4ZUPd9j+fd/e1+F33SEegW3USo1K\nACHETCDu5zmaVP1/gZTyKuAnwPfiPXcs0sYPJdVdic+WTqI9mRYnuPwwoUVFit2ayaMLbEuwhaAM\nkqjlvaZ70qn2VXPPknu466u7VJuhoEp2SFX+aqSfl+xKhis/UQvLO+Fnh/4s6vMu7y6SnWHzqyCl\ngOZAc1QQ6u1tb/Pkmidp9DcikeRo5ndjIOzH/m/b/7jjyzt4rvhjY5vujyYXHmtsS3enU+tr78Ou\nrVrLkOQhZCVkkeZKMwTg/mX3c+1H19IabMVtd3N47uEcmXskpw5vP55uqFa5vLrARmpYfXDbUb+j\nncACpLhSok1if8cm8S6vCvwNSx0W1rBxCmx5Uzn5ScqIrPZV89uvfss1H13DqspV/PAdVQhuVPoo\nI0Zw6OBD22nYsRlh6+mR2Y8Y74cmD+WWGbfE1Y+uiEdg/x+qSNooIcSXwHPADd04xzOYV/3/Du24\nfcaePojcghIkDh457yhaHZAmPQwPKDPR7VBzbfrNpZtAekQ30j/UtWCqVphMnzTPSlD+otvuxmFz\nwNDpkBcuMBbJ/OPnc/OMm5WP3IbC1ELjfSzz+d3t7/L8+ucNczg7UV2qSA27s16tqmmUYaNI3z+y\nzQx3Rsyg09q9a5mYNRFQZnltS23UNfAFfbjtbhKdiTx52pNMy5nWro0tNWqFTHNQRWzbmsQAexr3\nRFkmOunudPY27zUEtTMNu6teCWxBSoEh/HoQqNpX3S6DTScYClLZVMmUwep/tKEqvFjg8dWPE9Bc\niGEpw/jhBCW8YzLGUOOriboWLlt4QvrYoccav+37479vDKb7S5cCK6VcDhwPHA1cA0ySUq6O9wRS\nysVA2wiKUf1fStkK6NX/10gpz2rzVyEUfwLe1fqz7yRk4BRKGCcMSmfupAtIkeGJerddvW8NKo2r\nj6j6zZ2pLd06rTA8GZ6mBUcoUNMlWR4lsEHZtedweuHpXDrpUpw2Z7sphcK0QuO9wxaOvAZDQaNv\n1b5qI/iRk6huikg/SxdCpz18M3n9XhIcCVFtZiVkRZmFoG7ykoYSDhmk5lDT3Gk0+hujtJwv4DOu\nGWBoNp38pHyqfFU0+ZuMTKqooJMnLKSxNOykQZNYXbnaELxOBda7i3R3OmnuNKMf+jTL8S8dzymv\nnkJFUwW/XvzrqEGtsrmSoAxyWLZarbO4OPz4D6Els+Qn5eOwOfjV4b9ixY9WkOnJpDXUGnWt9fd6\nZpz+/x+SHK7yuL/EEyW+DkiWUq6TUq4FkoUQP+vquC6IVf2/s191A3AycIEQImZRcSHE1UKIZUKI\nZZWV7efHDBIycAgljHYEnqRUpM8H5z8Fp/7euPn0AIn+j9UF9opDruDls15m3ujw0rXR2g3N4SoZ\nQNewsaKNnSG1lHd9pI4UhBum3mBoAP3G0Puma3pdw0ZO7RQ3KL/O8LfyDqWhtaGdbz0keQilDaWG\nxpBScvsXt2MTNmbmqYXhukCVNoRXChV7iw2rBIjSkgvnLeTGaTcCaorD8GEjBDbTHXYfYgnstOxp\nVPuqKW1U5+zUJK7fxbAUFXlPcCTgEI6oaRaAb8u+5Z3t76isMQ1d8xakFDA4YTDLytXTEhzCwW7v\nbmblz+K1s1WRACEEDpvDmAqLjOY3B5rJT8rn3fNVcok+sOYn52MW8ZjEV0kpDVtJSlkDdFmVsAu6\nW/3/ISnldCnltVLKRzvY53Hgd8Byl8sVaxeFw41dE9igP4Rwe5AtLchJ58HRNxhCovuwbU1il93F\nhKwJjNYSIlKcKeRf/Br8cpMRBGo7VxkvejrkTw75CQCnDA+v9khzp3He6POAsEmrC+a6KrUQQBfY\nyPxjPfWv2lcNt5fDlR+rxP82i7XzkvJoCjQZUeAttVv4ouQLbph6Q9gk1uai9eAOqOsTObBECl1h\nWiEFWkJFsbc4ZtApSsO6YghsGxO7s2mdXd5dxlSZEIKADPDU2qf4siS8DlkX4EjftqxJCWxuUm6U\ncDntToq9xYzNGNvueun/40g/tjnQbMQ69PYAwzc2g3iqJtqEEEJqQ6/mf3YiEXHRe9X/Q0FDwwZa\ng7gS1M0jW1oQCQkIIXDb3bRoZVh0oYj8R4AyP2894laOH3p8eP2lhq5h95Upg6aw+sero+r4Aoaf\nW9JQQk5SjtE3PZKr36z6IOMP+Q1tWO2rVsXI0BL/29yAutlW0lhCuiedj3d9jEBwzqjw+lhde+pa\nW6cjgQUYmjLU6LN+A0f6sJHvU93tE/ULUwuxC7thXnr9XkIyxIaqDUwaFK6b3BJsoayxzNCw+m8q\naSjhqbVPGdt0jRhpWuuLPXKTcslLymOVltWkm/AFqe0fsxErnbMp0BT1ex6e/TBf7/k6alDaX+LR\nsO8DLwshZgshTgL+C7zXxTFd0SPV/+Oq6ZQ9MSywgRDCoy5wyBdOlHDZXYaGbevD6gghuGTCJcYN\nGYnuw+4rKa6UdsIK4Smiy96/jPlL5xuCqUdHh6eohAjdVK711RpmduSNFcsk1jWLLuBLSpdwyKBD\nGJw42NhHF/K2wZtIgW0bOEp3p5PkTKK4odgQgMibGuDOmXcCKmG/LUKIKK3X0NrAwq0L+f7/vs97\nO8K3YbG3GImMEq6nT3uawwYfFrXWV/99URq2sYwERwIpzhTD55+QGS5AFzkI6MQ0if3NUb8tPzmf\n88ac1+7Y/SEegf018AnwU+A64GPgV/GeQKv+vwQYJ4QoFkJcoc3l6tX/NwAvm1H9P66qiQWHY79Y\n1cINtoawaSswZHPYjPTYPYbA6iNxiiv+WrNtAy/dpa3204kcNP694d9Ry+EyPZmGdtOndfREi0xP\nZtSNFcskbiuwlc2Vhjlr9MvZtcBGTkWBEri8pDxKG0qNIm2RPizAReMuouiHRYav3JbIoI231asy\np4CXvnvJ2K5HiPVBS/9NxxccH9WWbh1E+rb1rfWkudMQQqhlksCZI8MVLToT2Mi52OZAc7vByGy6\nNImllCHgn9pftznQ1f/jwZGRA+wk4I/UsOHMJrfdbQSd9BE31pRDRwghuHPmnVEmW3eIFPh3zn1H\nLd2jvTBEkpOYYwiCrmGrtQJjo9NHs7RsKcFQELvNrkziNm2lulJJdiYbAlvrqzVuSh19wOhMYO0x\nlqZlejJZtHuRoe1j3dQue8deVmFqIV/vUcsGvX4vW2rVNNHyiuWEZAibsEXNwUZyZG70k0xLvCq/\nN9IkbvI3Gdfj9BGnc1rhaUak2GVzxZySSXQk4rK5ouaumwPNRqyjp4gnSjxLCPGhEGKTEGKbEGK7\nEGJbV8f1BvGWObVrD4UK+oNhDeuL0LAOj+HDVvuqSXAktNMKXXHRuIuYlLVvAhupzQtSCwztF0vz\n6n5hdmI2NmEj0ZFomPG6hp2UNQmJ5MWNLwJKw7a1GHTTs7ShFH/Qj9fvbTdIGSaxFqTRb/LIKHEs\n0t3pUcLa3Zv6+qnXc+7oc5kzYg4bqzcawhuSIWNwWla+LMrK0Jk8eDKLLlrEQyc+BEBFs1rKGGkS\nN/obo2IUQgjDnx6aMjTmggAhBBmejHbLMBNMqizREfGYxE8BfwGOAQ4HZmivfY54C4k7NIGN1rCx\nfdhaX+0+R327yxG5ah63oxs6loYdn6kKh+kR4qyELCNvVb+Zfjzpx0zLnsaTa57EH/TTEmyJ2VZ+\ncj4ljSWGVdH2dyc4EhAI9jbvxSZshkBHalidSPM9UvA/vODDmFq4M9Lcadwz6x5+euhPjf/L9By1\nptXb6mVTzSYW7V7E98bFToLLSshqN7XyecnnLNq9CFAC2/Z66D5+LHNYJ9OTaZjEqypXUdFU0fsm\nMVAnpXy36916n3gfhuXQnpYe8IcQieoSyIgldpE+bHVLdbfM4f3h7yf9nfKm8pgBJ2gfqQYlsIt2\nLzIENjsxm4qmCt7c8ib3L7sfl81FlieLaTnTWFW5ytAssbS1XoxNF/S2v9smbCQ5k2jwN5DkTDKs\njrYC+9UPvopKAtGjpHZh3y//vjCtkPuOVTm5DpuDovIivH6vEVS6YOwFHR7b9rx7m/dywyc3cM/R\n99Dob2xn9uoaNlaEWCfDk0GNr4ZgKGikL/YFgf1UCDEfeB0wHL39zjjqRewu3SQOtSuwDeoG1AM3\ntb5aU8PynZHoTIwZKdWJZZpNHjSZkWkjmZat5iuzE7NZXbmaO75Uj2tsDbUq882tkux1/zNWEC0v\nKY9Gf6ORztjWhwUMgU1xphiC2lZg27atT4E4bI4OB6N40YNBS0qXAErDljaU4rF7GJwwuMPjOgoa\nrt27lgZ/QzurJsOTwYTMCR0GwvR9dtbvjFo73dM+bDwCq3vtMyK2SeCkGPv2KvE+vc6hPcQq0Bo7\nddBtdxumTm1LbadC1NsMShjEm/PeND7nJOZQ2VTJhMwJRtI9hIVPD87EMon1aKyeOaULWiTJzmTK\nKSfVnWoIamcBIwhr2I4Wh+8LugA2tDZQ2lBKXnJep4NBLOsElD/f5G9qZ3E4bU5entt58bQMt9Kw\nkWmOva5hpZQn9mgPTCRek1jYBDaHIBhoX2gNVBBFz8qp9lXH1DS9ybCUYYbgtZ0fzknMoTXUapi+\nJww9AQj7o3rmUyzTVBfYf637F9CxhgXITcw1NEssHzYSXfA7Kr+yL+gCW99aT2ljaZfpf7EGizR3\nGg3+BhoDjfukGTM9mTQFmqIWTXQ3ONld4no+rBDiTGASYPRGShn7SVH9BIfTTqC1A4G1u2kJtuAL\n+GgONMfUNL3F1xd/jV3YOfwFFfdrK7C6L1vSUMJZI8/i3mPvBcJabvVeNRcaK+FjXOY45o2ex4It\nC4DYub2GwCblGk826GqRg37u/TWHI9EthAa/0rDxRORvnHYjUkqGpgzlhQ0v4LA5qGquIiRDHc59\nd4Y+oEWWgulOwbh9IZ5pnUdRa1BvQOUAXwgM7/SgXqI7j5u0O20E/J0LrDEHe4B82HjQgz1H5x9t\nfI5EF1iIjvLqSfarKlbhtruj9tOxCRv3HH2P8V3kah4dXehyk3LbrWzqCD145RDmPT9c17AVTRXU\nttTGlWB/5eQruWrKVZwx4gz+PeffJDuTjYqVSY72yxe7Qr9OutUC5pr9sYjnCh4tpZwihFgtpfyd\nEOIBVACqzxGvSQxqaifYhcDqiebxVo04kDx4woNsrd3azmeK1JyRJq3+3uv3MiZjTIc3lhCCd897\nt8Pau/o1yUvKM1bOdGVO6hbK+WPP73S/7uCyu3Db3by+Wd2KkWuH4yXJmWQsKYy1Hrkr8rT60noJ\nnHNHn8vF4y/udjvdIR6B1TMKmoQQ+UAV0HejMHHicNoI+GObcnriREe5r32BRGcik9vUN4boPOZI\nDetxeEhwJNAcaI5K34uFy+6KyiGORK9amJuUyynDT2FsxliOG3pcl3395uJvTPfvPA4P1b5qpudM\n58SC7odaIq2TfdGwusBuq1V5RJdMuASn3dnZIftNPPr7bSFEOjAfWA7sQC0479fYO9GwCY4EAjJg\n+CN9UWA7QghhmIuxEvGhffped9A1bG5SLk67kzNGnBGXb5roTDTdXNStgEsnXtrtZAyIjpTviw+b\n7EomxZViaNientKB+CpO/J+UslZK+RrKdx0vpbyzx3u2D3THh3U47R36sLqAVreoBIKejvyZjT4f\n2TZodOXkKzll+CnMGTFnn9u+ecbNZHoyO9TAvcGReUd2vVMMIqd6Opr26Yr8pHwjFbSn0xKhE5NY\nCNHhuiAhBFLKPufHdsuHddk6jBLrAqsvSetvAnvO6HN4sOhBo+i1zkXjLuKicRftV9tzRs5hzsh9\nF3gzmTtyLiUNJfssbJEadl9MYoC85Dw21qiqkAdCw3bmw87VXrNR9Zw+0T6fCCyijwae4sXutNHS\nFLuEi6FhtRS9/mQSA1w26TLmjJhjLAwYqPzx2D/u1/GRPuy+Xqu8iAebHYiBvUOBlVJeBiCEeBuY\nKKXco33OYz8rF/YFHE6blunU3ivQR8r+KrBCiAEvrGYQKbD7Kmx6+ZcER0KPT+lAfEGnQl1YNcqB\nsR3t3F/o1Id1RmvYyBpEFgMH3STenwUJucnty970JPFM6ywSQryPKg0jUeVcPu3RXkUghJgA3AgM\nAj6WUu7TQvq22ByCUAepiW1N4v7mw1rEhz4wx0oiiZdIDXsgiCdKfD3wGHAocBjwuJQyrkLiJlX9\n3yClvBa4iOgFCPuFzSYIhWIXaowMOjltzpgZPxb9H72c7Iycfb+tdB+2L2lYPSK8L0GmZ4B/oJ4W\nAERV/T8FVT1xqRDiLcAO3Nvm+Mu1QuJnA7dqbZmCzW7rUGAjfVhLuw5cJg2axEMnPsQxQ47Z5zay\nErJw2pwHJEIM8eUSnyeE2CyEqBNC1AshvEKIuB5YYkbVf62dt6SURwOXdNLP+AqJa9hsglCwcw3b\n6G8kwd6/Ak4W3ePEYSfuV3aSTdjITco9IHOwEJ+G/TMwV0q5ocs94yNW1f8OZ76FECcA5wFuOina\nJqV8XAixB5jrcrmmd9UJm10guxBYODCT4Rb9m0smXNKtqpr7QzwCW26isEL3q/4vQs37dkl3EieE\nvWMN63F4EAgk0ooQW3TJJRM6NPxMJx6BXSaEeAlYQHSJmH1NnOixqv/xVpyAcNAp1tPKbcKGx+Gh\nOdBs+bAWfYp4BDYVaAIiH/wp2fdMJ6PqP1CCmibq2TVJMbDZlaKPIa8AxsoWS2At+hLxlIi5bF8b\n16r+nwAMEkIUA7+VUj4lhNCr/tuBp82o+q/1NW6TWBfYUOypWMOP7W9ZThYDmy4FVgjxL2L4mFLK\ny7s69kBX/e+eSWzT+hL7ez2h3IoSW/Ql4loPC/xP+/sYZSJ3/My/XiTeyv8Qv4a1TGKLvkQ8JvFr\nkZ81M/ejHuvRftAtDduFD6vnlx6ocL2FRTzsS87dGGDfSxb0IN2a1rHpGja2xN56xK0UlRd1Wf7E\nwuJAEo8P60X5sEJ7LUM9grLPsS8atiOTeHjqcIan9snikBYHMfEk/6dIKVMjXse2NZP7Cmb6sBYW\nfZF4C4mfh3p6nQQ+l1Iu6NFeHQBsts59WAuLvkg8yf+PANcCa4C1wLVCiH5fccJmVz+9Ix/WwqIv\nEo+GPR44RGo5fEKIZ1HC2+fobmoiWCaxRf8innnYjURHhQuA1T3Tnf1jX3xYyyS26E90VuZ0Icpn\nTQM2CCG+1b46HFhyAPrWowgr6GTRD+nMJL4/xjaBCj7FTDnsTxga1hJYi35EZ2VOP9PfCyEOQ62o\nuQjYDjza813rPvvmw1o2sUX/oUMfVggxVghxlxBiA6qW0m5ASClPlFL+/YD1sBt0y4fVBdaSV4t+\nRGcm8XfA56jyMFsAhBC/OCC9OgDo0zqWSWzRn+gsSnw+Kg3xUyHEE0KI2cQu79IvsTKdLPojHQqs\nlPINKeX3gPGomkq/AHKEEP8UQpza0XE9gRAiSQhRJIQ4y6w2DYG1TGKLfkQ8ucSNUsoXpJRnoeov\nrUTVCO4SMwqJa/waeDmec8ZLV6t1LCz6It1aXielrEY9BeCxOA95hv0sJA5MAdYDpq4ktxInLPoj\nPfoMCinlYiFEYZvNRiFxACGEXkj8XqCdySuEOBFIAiYCzUKId6Tc/1CRlZpo0R/pjYfGdKuQuJTy\ndgAhxE+AvR0JqxDiauBqgGHDul5fbyVOWPRHekNgu1VI3NhByme6+L6blf+11TqWSWzRj+j5J9C2\np8cKiXcHK9PJoj/SGwJrFBIXQrhQhcTfMqPhfVqtY5nEFv2IHhVYrcLiEmCcEKJYCHGFlDIA6IXE\nNwAvm1VIXAgxVwjxeF1dXdf7WokTFv2Qno4SH9BC4vtU+d+yiC36Eb1hEvcY3dGwNmH5sBb9jwEl\nsN3xYYVNIITlw1r0LwaUwHZHw4Ka2rEUrEV/YkAJbHc0LKjAk6VhLfoTA0pgu6th7XZhRYkt+hUD\nSmC7rWFtgpCV/W/RjxhQAttdbJZJbNHPGFAC2+2gk80yiS36FwNKYLtrEtvswooSW/QrBpTAdheb\n3WaZxBb9ioNcYIWV6WTRrzioBdbhsuMP9HYvLCziZ0AJbHeDTk63nYDf0rAW/YcBJbDdDTo53XYC\nloa16EcMKIHtLk63Hb+lYS36EQe9wFoa1qI/0ecFVghxghDicyHEo0KIE8xs2+myNKxF/6KnS8SY\nUflfAg2oQuLFZvbP6VEa1hJZi/5CT5c5fYb9r/z/uZTyMyFEDvAX4BKzOud02wEI2ZxmNWlh0aP0\n+cr/EdQAbjP7pwts0O62ntlh0S/o85X/hRDnAacB6Sht3dF+RuV/oEEIsbGTPgwC9kZtOWpmp50+\ngLTvW9+iL/evL/cNOu/f8Hga6POV/6WUrwOvd9WolPJx4PG4OiDEMinljHj2PdD05b5B3+5fX+4b\nmNO/g7byv4VFf2RAVf63sBjoDKjK/90gLtO5l+jLfYO+3b++3DcwoX9CWtFRC4t+Q5/PdLKwsAhz\nUAlsNzOsDkR/CoQQnwohNggh1gkhbtS23y2EKBFCrNT+5vRS/3YIIdZofVimbcsUQnwohNisvWb0\nUt/GRVyflUKIeiHETb117WJl9XV0rYTiIe0+XC2EmBb3iaSUB8UfKpNqKzAScAGrgIm93Kc8YJr2\nPgXYBEwE7gZu7gPXbAcwqM22PwO3au9vBf7UB/ppB8pQc5m9cu2A44BpwNqurhUwB3gXNcU5E/gm\n3vOYpmG1lMO+jJFhJaVsBV4EzunNDkkp90gpl2vvvagg3JDe7FMcnAM8q71/FpjXi33RmQ1slVLu\n7K0OSCkXA9VtNnd0rc4BnpOKr4F0IURePOcx0yTeIoSYL4SYaGKbZhIrw6rPCIeWwjkV+EbbdL1m\nLj3dW2YnKqHlAyFEkZZJBpAjpdwDasABsnupb5F8H/hvxOe+cO2g42u1z/eimQI7BWXSPSmE+FoI\ncbUQItXE9veXbmVYHUiEEMnAa8BNUsp64J/AKOAwYA/wQC91bZaUchpwBnCdEOK4XupHh2hz+WcD\nr2ib+sq164x9vhdNE1gppVdK+YSU8mjgV8BvgT1CiGeFEKPNOs9+0CczrIQQTpSwviBVGiZSynIp\nZVBKGQKeQJnzBxwpZan2WgG8ofWjXDfftNeK3uhbBGcAy6WU5dB3rp1GR9dqn+9FU31YIcTZQog3\ngL+hRraRwEJ64Gnr+0Cfy7ASQgjgKWCDlPIvEdsj/ZlzgbVtjz0AfUsSQqTo74FTtX68BVyq7XYp\n8OaB7lsbfkCEOdwXrl0EHV2rt4Afa9HimUCdbjp3iYlRsm2om+/oGN891JtRxIh+zEGZ7VuB2/tA\nf45BmUKrgZXa3xzgeWCNtv0tIK8X+jYSFUlfBazTrxeQBXwMbNZeM3vx+iUCVUBaxLZeuXaoQWMP\n4Edp0Cs6ulYok/hh7T5cA8yI9zymZToJIY6RUn7RZtssKeWXppzAwsLCVIFdLlWAotNtFhYW+85+\nr4cVQhwFHA0MFkL8v4ivUlET2hYWFiZhxgJ2F5CstZUSsb0euMCE9i0sLDTMNImHyx7INBFCFKCK\nuOUCIeBxKeXfzD6PhUV/YL8FVgjxVynlTUKIhcSY/JVSnr2f7eehIn3LtWmGImCelHL9/rRrYdEf\nMcMkfl57vd+Ettoh1fyUnt7lFULo+baWwO4nQgh92gGUBRMEKrXPTVIlwVj0IXpkAbuWv1kgpVxt\ncruFwGLgEKlS+CK/M6omJiUlTR8/fryZp7aw6FGKior2SikHd7WfmT7sIlROpwOVAFAJfCal/H+d\nHdeN9pOBz4A/SC2FryNmzJghly1bZsZpLSwOCEKIIhlHRUUzk//TNK13HvAvKeV04GQzGo6Vb2th\ncTBipsA6tADRRcDbZjXaUb6thcXBiJkCew+qEuIWKeVSIcRIVA7l/jIL+BFwUm+XTLGw6G1Mq/wv\npXyF8JpEpHp2zvkmtPsFsdcPWlgcdJgmsEKIwcBVQGFku1LKy806h4XFwY6Zz9Z5E/gc+Ag1n2dh\nYWEyZgpsopTy1ya2Z2Fh0QYzg05vW8EgC4uexUyBvREltD6tqLNXCFHf5VEWFhZxY2aUOKXrvSws\nLPYHM4uwCSHED4UQd2qfC4QQvVmxzsJiwGGmSfwIcBRwsfa5AVVoysLCwiTMjBIfKaWcJoRYASCl\nrNHKiVpYWJiEmRrWrz1fR9VxVIkUIRPbt7A46DFTYB9CVYfPFkL8AfgC+KOJ7VtYHPSYGSV+QQhR\nhHqSmECVcdlgVvsWFm5Qwg0AABg3SURBVBbmlDnNjPhYQfRjEzKllG0fwWdhYbGPmKFhi1B+qwCG\nATXa+3RgFzDChHNYWFhggg8rpRwhpRyJWgs7V0o5SEqZBZwFmFIdItbj6C0sDkbMDDodLqU0nlIn\npXwXON6ktp8BTjepLQuLfouZArtXCHGHEKJQCDFcCHE76sli+42M/Th6C4uDDjMF9gfAYNTUzhva\n+x+Y2H6naE98XyaEWFZZWdn1ARYW/RAzp3WqUSt2egUp5ePA46DKnPZWPywsehIzNayFhUUPYwms\nhUU/ol8IrBDiv8ASYJwQolgIcUVv98nCojcwI9Pp78R4ap2OlPLn+3sOKeUBC15ZWPRlzAg6WQ+x\nsbA4QOy3wEopnzWjIxYWFl1jdiHxXwMTAY++XUp5klnnsLA42DEz6PQCsAGV7P87YAew1MT2LSwO\neswU2Cwp5VOAX0r5mfaIjpkmtm9hcdBjZk0nv/a6RwhxJlAKDDWxfQuLgx4zBfb3Qog04JfA34FU\n4Bcmtm9hcdBjisBqxdfGSCnfBuqAE81o18LCIhpTfFgpZRA424y2LCwsOsZMk/grIcQ/gJeARn2j\nlHK5ieewsDioMVNgj9Ze74nYJgFrHtbigLFgRQnz399IaW0z+ekJ3HLaOOZNHdLb3TINMwX2Cinl\ntsgNQoiRJrZvYdEpC1aUcNvra2j2q+eJl9Q2c9vrawAGjNCaOQ/7aoxtr5jYvoVFp8x/f6MhrDrN\n/iDz39/YSz0yHzNW64wHJgFpQojzIr5KJSJF0cKipymtbe7W9v6IGSbxOFRJ03RgbsR2L3CVCe0j\nhDgd+BtgB56UUt5nRrsWA4v89ARKYghnfnpCL/SmZzBjtc6bwJtCiKOklEtM6FMU2hzvw8ApQDGw\nVAjxlpRyvdnnsujf3HLauCgfFiDBaeeW08YBAyMgZaYPe60QIl3/IITIEEI8bUK7RwBbpJTbpJSt\nwIvAOSa0azHAmDd1CPeeN5kh6QkIYEh6AveeN5l5U4cYAamS2mYk4YDUghUlvd3tbmFmlHiKlLJW\n/6A9H3aqCe0OAXZHfC4Gjmy7kxDiauBqgGHDhkHIetLlwci8Q/OYd2he9MZQiPnvf9dBQOq79vsf\naGzx600zBdYmhMiQUtaA8ZAsM9oXMba1K0kTVeZ0+gxJyKp0ahGmtNbX8fbevle6YeeaKbAPoLKd\nXkUJ1EXAH0xotxgoiPg8FLUSqBOkpWEtoshP81BS115o89M8feBesce9p5mFxJ8TQixDZTYJ4DyT\nAkNLgTFCiBFACfB94OLOOwMEe/ufYNGXuGX2KG5buIFmf/i+SHDauGX2qH51r5ipYQEygUYp5b+E\nEIOFECOklNv3p0EpZUAIcT3q6Xh24Gkp5boujgLZf/4JFj3PvENyQErmf7KV0roW8tPc3HLSKG17\n/7lXhJTm2O9CiN8CM4BxUsqxQoh84BUp5SxTTtANZkybJpct/uJAn9bCYt9ITkQIUSSlnNHVrmZq\n2HOBqcByACllqRAixcT248cyiQ8KFqwrZ/6i7ZTWt5Cf6uaWE0Ywb1JOb3erRzFTYFullFIIIQGE\nEEkmtt19TLIcLPomC9aVc9u7m2kOqIG5pL6FX7z1HTe99R1DUt3ccnzhgBReMwX2ZSHEY0C6EOIq\n4HLgCRPbjx9pRYkHOvM/22EIq44+RJfUt3Dbu5tBSuZNzD7wnetBzIwS3y+EOAWoB8YCd0kpPzSr\n/W5jmcQDmtL6lk6/bw6EmP/ZTuaNG3SAenRgMDtKvAZIQA12a0xuuxtIyyQe4OSnuCjxtna6T6m3\nZcDdB2ZW/r8SuAv4BDUP+3chxD1SSjPyibuHxDKJBzi3zCrgpve2drqPxy6Y9UQRpd5W8lNc3DKr\ngHnj+7fGNVPD3gJMlVJWAQghsoCvgAMvsGCZxAOdOAbk5qA0tHCJt5XbPtoOoVC/NpPNFNhi1BpY\nHS/RSfsHDmmZxAOd+Uu6v8qmORBi/pIS5o3N6oEeHRjMFNgS4BshxJsoo/Qc4FshxP8DkFL+xcRz\ndY1lEg8IFmyqYv7XpZQ0+LELCEoYkuykpMHf9cExKPW29ut7w0yB3ar96bypvR745AkrcWJAsGBz\nNbct3k1zQFlLQc1o2ldhBchPdvbre8PMaZ3f6e+FEDYgWUpZb1b73exNvx5FLRTzv91jCKsZJDgE\ntxye26/vDTOjxP8BrgWCQBGqKNtfpJTzzTpHt7B82H7Bgi01zF9WTmmDn/xkJ7fMyGHe6Axg/zSp\njl2o5a5G26PS+/W9YaZJPFFKWS+EuAR4B/Vw5yLgwAusZRL3CxZsreW2L0tp1mzdkgY/t31eYuqC\n8pCE7ZdNCm/o5/eFmQLrFEI4gXnAP6SUfj2v+MAje7+KgEWXzC8qN4RVpzn4/9s79yirqvuOf353\nZhiGAQYZBgYRQYSoiRolYh61iFEUrQK+mlgbtbZdsctXVxpWnaAliqhRkzTU+mxdZGWpSarRGGzj\nI0uCVRFB5WHjIyoaYABBBpkZZ+bee379Y+/L3LlzXzN337mv/VnrrHvOPmfv87vnnO/Z++zHbyt3\nrN9JZ5ZF4YNqq1ANaOtJfvzB9dVl9Sy4FOx9mFnXNwCrRWQKppvioBGRC4HvA0cBJ6rquqwjazTz\nMZ6Csr0jkjI8G4nVVQlLZjWxcFoDT7y/j5aX+74A6qqERcePK6tnwWWl03JgeWxbRD4i92knNwPn\nYV4GAzAG8yXtccITH+zjjjd2s70zwsEjqll03DgWHtaQc7oHj6hmW2d/0aYKj2dSzI4pDRDF/AZw\n4/pd7O02xd7aEBBQVs+C677EB1AzMj79Vc+cxh8ARJL5YUsbE4IyuksF5Iktn9Ky9uPe78zOCC2v\n7AQNWDh1dE7pdkb6f0/WVQmLvjiWf3x5V8q4k0ZU8+KCqWYj/j5rQFdcUbotrE5sLSbyJtihpo+b\n0+aJBFEvWBfcvmFP0u/M2zfsYf7ken794X7u2LSX1s4oE0dUseiYg1gwpX/Te/xxDTVCR1QJJ+h1\nTI2wZGYj8yfXc+P6EHt7klcQffeYMUnvbyZbi5WBOAd3NQN7CPiKqr40iLjPAc1Jdi22swpkRbyb\n0y8d9QUNIjll7h5La2fyF9/2zigzH9/SR3jbO6O0rNuDRgPmH9orkCc/6uB7r++ly4qpLZz8C1VE\nOGdSHUEkwg3HjmHR+k9I0B8XH1Z/4JhsbW3tjCY9vlgYcsGqaiAiPwS+Ooi4p7mwoW+iAZGe9OMl\nPdkxsS7E9s+S53TJhNcVVe58s42zmnsfrTvfbDsg1nTs7Ql4/P02zjmkjmgk3M8hdbXAcQ2hlPc2\nla0T61LHKQYGIkKXReJnROR84FfqyrPbIFGFaBG/UUuJa2fUsWRzB10DaL5s/Szoc/1bUwg+GT96\nq4MgCGjZ2EFirIia/Wc112Rt6/CQCS+X58GlYL8D1ANREfkMMyZWVXXQX/sici7wb0AT8JSIvKGq\nZ2SKpxoQ7Uk/uNmTHWeOE4Ija1n8f939BJSK5lrpc/2ba4XW7uze4a1dAUs29xdrjB1dqe9tzNbl\n7/Wwo1tprhWuOXwYZ46TsnkeXDbrOO/kr6qPA48PIiLRcO7d2jyGeY3wvSyPHR6Cq6aG+lz/q6aG\nWPpuNKtcOgRpj2uuJe29ndcI8xqH9Qkrp2fBZV9iAS4GDlPVpSIyGZioqmtdnSNbVJUgUj43qRiY\nMAx2pMikGqrh04g55qpDYd7Yvtd/3ljQaXDXR6nTACP2dGIdHoIrJ1PR99ZlkfhuTDP114GlQDtm\nXtdZDs+RFapKJFweRaBi4R8mCbd+GKIriK8KUs4bp/zz1L4qS6anuWPMsmBjFTt6+rerh1BapgTc\nsy2UdL/Y/XPHaNL0KwWXgv2yqs4UkdfhwHSTwzJFygu+SOycuaMhmFTFvTuq2RUWxtcoVzRHOGNs\nlOgALvW3JwTctrWGbu0VZa0o1x0SZu7oKEGkilu21hDWvqINAUEkSjRc2e3rLgUbtrOlxxyJN0HW\n9RROUVUCL1jnzB0VZm5CTUUwwMs8d1QYnRjhvl3D2RURxlcr3x7fxdxREYKw2f9jqkls1Iki3Nta\nzdxRyaeNrBRcCnY5poJovIgsAy4ArneYftaoKuHu4m13q3ROqevmlCkdfcLCcbdrf4r6y10Rqfj7\n6rKW+CERWQ+cimnSWRjrCzzkqBJEy6PdrRJpqoqyK9r/0Wyqilb8fXVZS3wT8AKwQlU7Mh2fV1SL\nuiuaJz2Xj97Hj9sOolt7O+3VSsDlo/dV/H11WSTeAlwELBeR/Rjxrh5If2BXqAZEuiv7W6eUObm6\ni+jIHn7aMY6Pg2qaQhEurd/NydXtRCq7ROy0SPwg8KCINAN/CXwXM3pmyL0m+q6Jpc/J1W2c3NDW\nJ6zCS8OA2yLxfwCfB3ZictcLsHPFDjm+WcdTprgsEjcCVUAb8AmwW1UL8k70fYnzz+roWB6KTmI3\nwxhHDxdXbWN21SeFNqvscVkkPhdARI4CzgCeF5EqVT3E1TkGYAzBQFrzPQNiddDIvTqFHqoA+Jha\n7o5OIQgizA7tKbB15Y3LIvHZwJ8Ds4GDMLPYveAq/YGgqkR6vGDzxcOhQ+mRqj5hPVTxcHAoX4vs\nKJBVlYHLIvGZwGrgJ6q63WG6A0ZVifq+xHljd21t8nBq/XXPMy6LxFeKyARglojMBNaqampPWlkg\nIncA5wA9mHl7/kZV29LHwrbD+hw2XzQO62KP1PUP1y5/3fOMyyLxhcCdwCp6J3RepKqP5pDss0CL\nqkZE5AdAC2ZGgbSoKpFu/6bPF+frm6wYeRw90vv4DNMI53e8ScRX9uUVl0Xi64FZsVzVdv5/Dhi0\nYFX1mbjNNZimomziEfVv+rxxYmQLQRDlVyOP5pPQCMYGnZzXvpkTu/5UTi6AixKXgg0lFIH3MDCH\ncJm4HPhFqp3xbk7H19cTLeEZykqBWZ0fMqvzwz5hXqz5x6VgfysiTwOP2O1vYCbFSks2bk5FZDHG\nKflDqdKJd3M6vbFRu7xgPWWIy0qnRSJyHnAS5hv2fuuTKVO8tG5OReRS4Gzg1Gy9MSoQKeEpBT2e\nVLj2/P8SpmQUAK/mmpiIzMNUMp2sqp3ZxlOgx+ewnjLEZS3x3wH/gukwEaslvskOChgsdwG1wLN2\nfp01qnpFpkiqSo/PYT1liMscdhFwvKruARCRRkyOO2jBqur0QcXDF4k95YlLwW4F9sdt7wf+5DD9\nrAkAX+nkKUdcCnYb8IqI/BqTyS0A1orIdwBU9UcOz5URn8N6yhGXgn3PLjFiniYKMIBdCXvBesoQ\nl806N7pKK1cCfC3xu6Om8eq4E2ivHsnISDuzdq9jxv73C22WJ0fKZkLneBQqOod9b9Q0XpxwEtGQ\nmeWtvWYUqyecRFSVw71oS5qyFCyqFf0Nu75p1gGxxoiGaljfNIspn76XIpanFChLwVZ6LXFH9ciU\n4ZV8XcoBlx0nPgfcA0xQ1aNF5Fhgvqre7Ooc2VLp7bB14XY+G9a/rq8u3F7R16UccJnDPoDpPHEf\ngKpuFJGHgYIItpJ7Oh2xcw2bJs3pUyyuCsIcsXNNRV+XcsClYEeo6lrbhTBGgbwmKuEKLvqN3/sO\nR6nyx+av0FUziuHh/UzfsYbxbe/iRwmXNi4Fu1tEDqd39roLgFaH6WdNpdcSAzTtfYemve/0CfNi\nLX1cCvZKzHjUI0VkG/ABZkb2IUeB7grOYT3li8uOE+8Dp4lIPcb7xP5McfKF7+nkKVdc1hI3Aksw\nA9hVRP4XuCk2emcoqfRaYk/54rJI/HOMX+Lz7fbFGB9MaT1KpENElmIGEQTALuCybHweV3o7rKd8\ncSnYsaq6NG77ZhFZmGOad6jqDQAicg1mgHzmAez4HNZTnrgU7PMi8k3gl3b7AuCpXBJU1U/jNuux\nNdBZxPOC9ZQlkqVfs8wJmUmc6zElUjAuTmMzsauqjh5kusuAS4B9wCmq+nGK4w64OQWOAN626w02\nbjIS96Xbjq2n+h0H7M7yb3mbcrMpWXip2zRDVRsynl1VC7pgnI1vTrIsSDiuBbhxEOnfn+2+dNux\n9TS/67xNQ2NTsvBysSnT4rTzv4jMx8xeB7BKVVdmiqMZ3JzG8TCmiL1kgGb9ZgD70m3/JsOvt2no\nbEoWXi42pcVlkfg2YBa9zr4vAtar6nU5pDlDVd+161dj3J1mNV3HUCMi61T1hELbEY+3KTuK0aZU\nuMxhzwKOU9UAQER+CrwODFqwwG0icgTmu/hDsqghLiD3F9qAJHibsqMYbUqKyxx2IzBHVT+x22Mx\nxeJjnZzA4/E4zWFvBV4XkecxjsRnYyqKPB6PI5zlsAAiMhHzHSvAK6q6w1niHo8nd8Ha2dZToqqv\n5XQCj8dzABeCfT7NblXVr+d0gjLBjmJaDSzJprlrCOw5CrgW02ngd6p6T4FNwnZl/QtgPPDv2ndC\n74IgItOAxUBDUbRQZNtgXKkLZm6gXcDmhPB5mN5UfwSuyyKdmzAz8Z1dLDbZOCHgP4vMpoOK0KZH\nC/0sqmrugsV8szbHbV+C8fq/HDMgoOB/Msf/NxuYGX/TgSrMLAfTgGHABuDzwDHAyoRlPGbE0jeB\nyxwJNmebbJz5mAnL/qpYbLLxfgjMLDKbykawr8WEaS/QdswQu6XF8icd/MepCTf9q8DTcdstQEua\n+MuAfwWesS+zUKFtSkjrqSK5TgL8ADitWO5d3HFF8Sy7aNapUtv2CnwD0yfyMeAxEXnDQfrFyCT6\nzsy3FfhyqoNVdTGAiFwG7FbbuaSQNonIHOA8zPy7/50HewZsE3A1pjTSICLTVfXeQttkHTMsA44X\nkRZVvTUPNmWNE8GKSLWqRoBT6R0x4yr9YkSShGWsvVPVFe5NOcCAbFLVVcCqfBljGahNyzGfUvlk\noDbtoYh62LkQ1CPA70VkN/AZ8AKAiEwn9XCtUmcrMDlu+xDMp0Ah8TZlRzHalDWhXBNQ1WXAPwEr\ngJPUFvht2lfnmn6R8iowQ0QOE5FhmAqlJ71N3qa8U+iP6GJfMCWIVoxb363A39rws4B3MDWOi71N\n3qahWJx2TfR4PPkl5yKxx+MZOrxgPZ4SwgvW4ykhvGA9nhLCC9bjKSG8YD2eEsILtggQERWRn8Vt\nV4vIxyJSkHGzIrLCzu+bj7Tb85FupeAFWxx0AEeLSJ3dngt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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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sLs8O8+HYAQQwJen3W3pWmOrxw04+XAlMjCUtz2ZEicgpqvpBs7CTVfVDTxKw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\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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5fmPnJRPiE9S9BCmOMaEtlmSiWZtRVUtV9VlVPQMT/mYJ8JuYSxaGiGSLyCIR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\nTwT6U3ulxS3AkY0drKo3AYjIxcBOdZ1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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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IUk05bP7AHC/c3vgXWv5P+Pje6J1+zX9h9fPw2Z/M+/3r4OlTTfmCTea77f66/nmlfpfD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\nswK4AbgnxvLzxsxobw3fYZNIXWUNh9Ldp1esq8w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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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herFPCU5wgrs/DJwKjAAuEZERInKQiMys8+kedOqfnfOaT1oHkqjCIz5qHBO6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\n6y3I9iNgsqp6ReTvwGTMig+Noqp4K20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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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bHvVbrnqnMv2yK7N5c8+b5FXlMVIc5+uwUE5l+M64+uDAB3yd/TXl1nLWnVzn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\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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KIPUNZDeNuUspwxgRE1qwyaSgdZPIWZfYqBAmtGATyQTU1JPbtg3NZMptjmEMycQWbEqg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\nA3CviGwHdgP3A4jIIgZeihR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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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h8yqtVmgJsoZ9F3AUsA5AVTeLSGOA8kvHmsRVwa3PbOPSO19gIOuu1aauFJfe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\nsIZRRZjBGkYVYQZrGFWEGaxhVBH/D2NZA+tZ31YFAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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VnIbf52df5z6K/EWcWn0qSU2yqGIRL7a/SCQYYdfRXTSEGyjyF7GgYgHloXIE4d5993JS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\nBuA12XpjVCCRW8eNI7K5ZAG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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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sat1dIvKyiHxWRPJctD9eRtXDarIQkRzgD8BXVLUN+DkwH1gJHAN+lED3zlHV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\nnmCXAHC6r14BTAN+pv2DeCcUEZkH3Aj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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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GAT8CPuaGYX6vhybyuteDBEA8aNSUsIFsHzkFfprrbAcKS/ow0hOJD9vdZBwN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\nL5ltvcMGWu9t32jamaxtiezsCvO7bGd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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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kJwSUsCkU+CJbrTUYekOvDHYwkJGSQIPTiOJNz8Ffa3xTG2KHI85gM5MT+Y7v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\npr61i95Fk4barcVL91BW7yE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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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8fp8uPbC0yWv1XcF3On/3/JDPrTGAVRqqnkLd0YqXVOAO4PMWHFNfsJOBj2ut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\nB/D7fbwZPYICiSVNK7nGvZXJ3hyWuHr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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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MX74JEjG/1RhGJ+kE/1ekRjip6j5du8k94XafXwGmi0idiFykqnHgUpyFolcA96nq8sF8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\n8mWgXt3gkmzrEJHZwFycNXe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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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F5sMlzHtYALEusRFRwnSJf5e+H6xvfTBrEo2CMMvrwClsuPk2wygsRnLXzgMGdksYCdRa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\nHO7DeWcA59P5Nz0/iEi1iNw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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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2hjXCRpAx7EIReQyYyeEhYkI/prX1sEbYCGKwPYD9wEcSypQcnIRK9bGOPYc1wkYQ5/8v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\n4aAuItf4Ml8XkT+LSPeEr8/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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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+PDAiQfaNx/SkfwasCNcXUAy8BaxxvosSZF82sA0oiEhLWN1hLhwVQDOmBb2k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\nhBWsxZJCWMFaLCnE/wMNCIXI7DRWxQAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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LXOxlZjeDNcJIjQYrIt392TLv+NvDRMRpMH6DYi2sEWKCtLBT8IZgShPXrAdui5dC9aE2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\n8hFeIvHT8JaHNAzDEU57iUW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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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PuJvjmqltNpkdwu1n8nNoWFe0l8r0X6ZzxbdXeD1XjRD7dLZdZ3bx/EbnNLrs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\nZLM5z8aiLkKop0n88/+3d/ZBdk9nHP98N8LKImS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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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yanLSW4H3BCDfYrH4BFklnq9FiDQRkbnAz4GZgAdcr6rfDzofiyUMjNlgReR/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\nD6ng88+1F3z89k5vwjwPQRr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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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MDW9azfoTC8ad9Kzjp0n8Q+AM4L3ecS/G0ZTFMiU2P9nMxluepblzAAWaOwfY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\nbxLFg8ADk5kP7BeqLomhqW0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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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4fz75Bx+Et3jnZEaFRx1F6bmfo2n58j51nairp+3JJ4mt30Dhsccy+ec/A6+X\nLV89j5pLLwVg4tLLqb/uD2gkgiYSNN56K8WfOI3W+x9AQiH2euxRulavZtv3LqHprrt64gDxbduo\nuOgbPT1vx2uvUffbZTTdfnsfHQqOPLLH7Q9Mm8rcZ58hXltLaN99UVVCBx5I15tv9tmm+IxP4iuv\noPi0Uwnt73hEU375S7Z89Ty2/8+PKPr4xyk++eO4xVDDnD7f/VtEPgJ8HvgM8CFwo2saZIS+QSfF\nwvIImuh779jy4IME580juPfeAIQW7cvcZ54mVl1NwaGHYkejFB59NIXHHus0oOXLKf/85wFnsPXe\nxtqbvL33Zu7TqZPFxOOh8NhjKTr5ZAqPO9bRNi+PiUuXEt+yFUSYfsP1WOEOrKZGfBUVABR89Bin\n4fr9RNetZ+LSy+lc9QZNd/6ZigsuoO3vT5J3wP4EZjoTDxZ9/OOUffGLFJ14Ir7KSgAC06al1Kn3\nvXF8y1bCTz9DorYO//TpPfL61G4gwJTfDPo+B5OWLsVXXkF03Tp8lZWEX36J+OYt1PznpQTnzWXa\nDdf3GE7p2WdT+8tfAlCbvC2YeecdeMvK2PjJM2i9/wHKPn8uFd/4Bv6JE/FNmoRvymTqfv0bp64X\nLqTtiSdo++c/CSRTVuNbttB0++2UfeELVFz4dRpvvoWOV16h4sKv99HTV1nZUzciwuRf/oK2Rx+l\n4Ohj8JWX4Z8xI+V9fcHhh1Nw5BG0Pf44bY8/TvRb36L0nLPxT548aJ2kjaqm/OAMZfpjnEcvL+FM\nN7l5sPWz6XPwwQdrKjrbo3rdN57Wc678oZ7z0Jd7yo+8+Zv60sH76LYf/rCnLFZTo+8t2Fsbbr45\npaxMYNv2oP8l2tt1yze/pe8t2Fvf23eRxrZv145VbzjHcMst+t7e+2jd768bsQ7tzz/v7GPB3lrz\nPz8asTxV1ejWat3wyTO0+j8v1XhdXZ//4k1NuvGsT2vLI4/27Ne2LFVVrb/pJm28484B9dJwyy09\n6yaam7Xummv0vb330fcW7K2bzztP6667Trf/9Kdqx+Ou6J+KrrVrdcPpp/foseM3vx1yfWClptG2\nh3KJ/w28iDM8zPrkVeaSkV8isgCVPqmJ3T0sve5hO155BYCCjw5yz5IBRAZ/X9dbWEjV975L+Jln\nKDn9dPyTJuGbONHpbZY5dzcFRx45Yh0KjjoKCQTQWIzy83f7zcs+BKZNZc4jD6f8z1dWxuz77wNw\n7jPzgj29WuXXv55ym/LzzgOvF29REd7SUqq+8x0Kjz+BbZdcQsmZZ1Jy5pmu6D0UefPnM+fRR9n8\nxS8Rr6uj6rvfcUXuUAb7aZKREQ7RAAAgAElEQVRjEIvI34F7SJ0HnIN4Bt7DeqXPPWzHy6/gq6oi\nOG9eJhTcLfLmz2f6rbcQWuQ8UhARCo48ktb77sdbUkJo//1GvA/xepnz2KPg8RKYNnXE8naFdO8F\nxeOh4qtf7VMW2m8Rc5/65yhoNTTTb70F8flcezQ16GMdVX1QVT8L7I2TfH8JMFFEbhAR9+6iM4FK\nn3tYsJP3sE6Z1d5O+3PPUXDsR4fs1bKRwqOOwltS0rNc8gnn/nPSlVf2BLZGSmDGjDE31lzFEwy6\n+hw5ndfrOoC7gLtEpBw4B+dl8n+4psWY0zc1sX+UuPXhR9DOTso++7lMKegaBUccwfzXX+sTqTXk\nLrs0+5OqNqnqH1X1hNFSaGxI8VjHuzNK3Prgg+QtXDhq2SpjjTHWPYfxOV2b9r+H3Rl0im78kMia\nNRSf8ckhBBgMmWF8Gmw/lxiUmN+DHY32RIeLTzopM6oZDEMwPg12QKaTRSTgxe7oIL51CxIK4euV\nvWMwZAvj02BTBJ0iAQ92OEysehuBaVNzLjpsGB+MS4PVfs9hwSYS7O5ht+KfmjpFz2DINOPSYJ0e\ntncusU004MUOh4lXV+OfPn2IbQ2GzOHOk/Rco989rNPD+tB4HI3HTVKAIWsZnz2sprqH3ZmN4p9q\nDNaQnYxLg1U8Aww2GtzpbHS/UmUwZBvj0mBBsOjlEotNJLDTYL2VVRnQyWAYnvFpsEmXWJMjGzo9\nrL/nb19lRaY0MxiGZHwabPKwdw4mbhPt1cP2HiLFYMgmxqnBOkkRCbuXwfbqYQ2GbGV8Gqwme9ik\nwfZ3iQ2GbGV8Gmz/HlZsYgFjsIbsZ3wabIoeNhYMZFIjgyEtxmemU7KH3ZntZIPHS+lnPkORea3O\nkMWMS4PVZA8bt7vHIbYRvEy+8qeZU8pgSIPx6RLT1yVGbDzjtSoMOcX4bKXaN+ik2IiMz6ow5Bbj\ntJUOfA4r47UqDDnFOG2l/VxibDymhzXkAOOzlXa7xLrzHlYY/UmDDYaRkvUGKyLHiciLInKjiBzn\njtQUPWz2V4XBMLqtVESWi0idiLzbr/wUEVkrIutF5PJhxCgQBvKAalcU6/VYR1VBFBHTwxqyn9F+\nDnsbcB1wR3eBOJbxB+AkHANcISKPAF7gV/22Px94UVWfF5GJwNXAF0aqlPaKEncnT5igkyEXGFWD\nVdUXRGRWv+JDgfWquhFARO4BzlTVXwGnDyGuGQi6oZf0colttQFM0MmQE2Qi02kqsLXXcjVw2GAr\ni8hZwMlAKU5vPdh6FwIXJhfDIrJ2CB0qgYaP8bGegnd5Fzn3x8MqPwZUAg2ZVmIIslm/bNYNhtZv\n4FT2KciEwaYaoVsHW1lVHwAeGE6oqt4E3JSWAiIrVfWQdNYda7JZN8hu/bJZN3BHv0z4gdVA74F/\npwE1GdDDYMg5MmGwK4B5IjJbRAI4s7w/kgE9DIacY7Qf69wN/AtYICLVInKBqiaAi4EngfeBv6rq\nmtHUIwVpuc4ZIpt1g+zWL5t1Axf0k+6RAw0GQ/ZjnmUYDDnEuDLYXcywGgt9povIsyLyvoisEZHv\nJst/IiLbROSt5Oe0DOm3SURWJ3VYmSwrF5F/isi65HdZhnRb0Kt+3hKRNhH5XqbqLlVW32B1JQ7X\nJtvhOyJyUNo7UtVx8cHJpNoAzAECwNvAwgzrNBk4KPm7CPgAWAj8BLg0C+psE1DZr+y3wOXJ35cD\nv8kCPb3ADpxnmRmpO+CjwEHAu8PVFXAa8DecR5yHA6+lux/XeljJ/mTcngwrVY0B9wBnZlIhVd2u\nqm8kf7fjBOGyfSauM4Hbk79vB5ZkUJduPgZsUNXNmVJAVV8AmvoVD1ZXZwJ3qMOrQKmITE5nP266\nxOtFZJmILHRRppukyrDKGuNIpnAeCLyWLLo46S4tz5TbiZPQ8g8RWZXMJAOYqKrbwbngABMypFtv\nPgfc3Ws5G+oOBq+r3W6Lbhrs/jgu3S0i8qqIXCgixS7KHym7lGE1lohIIXA/8D1VbQNuAPYCPgJs\nB36XIdWOUtWDgFOBb4vIRzOkx6Akn+WfAdybLMqWuhuK3W6Lrhmsqrar6s2qeiTwX8AVwHYRuV1E\n5rq1nxGQlRlWIuLHMda71EnDRFVrVdVSVRu4GcedH3NUtSb5XQc8mNSjttt9S37XZUK3XpwKvKGq\ntZA9dZdksLra7bbo6j2siJwhIg8C1+Bc2eYAjwJPuLWfEZB1GVYiIsCtwPuqenWv8t73M58C3u2/\n7RjoViAiRd2/gY8n9XgE+Epyta8AD4+1bv04l17ucDbUXS8Gq6tHgC8no8WHA63drvOwuBgl24jT\n+I5M8d+1mYwi9tLjNBy3fQPwwyzQ52gcV+gd4K3k5zTgTmB1svwRYHIGdJuDE0l/G1jTXV9ABfA0\nsC75XZ7B+ssHGoGSXmUZqTuci8Z2II7Tg14wWF3huMR/SLbD1cAh6e7HtUwnETlaVV/qV3aUqr7s\nyg4MBoOrBvuGOgGKIcsMBsPuM+L3YUXkCOBIoEpEvt/rr2IwQxEaDG7ixgvsAaAwKauoV3kbcLYL\n8g0GQxI3XeKZOgqZJiIyHWcQt0mADdykqte4vR+DIRcYscGKyP+q6vdE5FFSPPxV1TNGKH8yTqTv\njeRjhlXAElV9byRyDYZcxA2X+M7k91UuyBqAOs+nutO72kWkO9/WGOwIEZHuxw7geDAWUJ9c7lQn\nCcaQRYzKC+zJ/M3pqvqOy3JnAS8Ai9RJ4ev9X8+oiQUFBQfvvffebu7aYBhVVq1a1aCqVcOt5+Y9\n7HM4OZ0+nASAeuB5Vf3+UNvtgvxC4HngF5pM4RuMQw45RFeuXOnGbg2GMUFEVmkaIyq6mfxfkuz1\nzgL+pKoHAye6IThVvq3BMB5x02B9yQDRZ4DH3BI6WL6twTAecdNgr8QZCXG9qq4QkTk4OZQj5Sjg\nS8AJmR4yxWDINK6N/K+q97LznUTUmTvn0y7IfYnU7w8aDOMO1wxWRKqArwOzestV1fPd2ofBMN5x\nc26dh4EXgadwnucZDAaXcdNg81X1By7KMxgM/XAz6PSYCQYZDKOLmwb7XRyjjSQHdW4XkbZhtzIY\nDGnjZpS4aPi1DAbDSHBzEDYRkS+KyI+Sy9NFJJMj1hkMexxuusTXA0cAn08uh3EGmjIYDC7hZpT4\nMFU9SETeBFDV5uRwogaDwSXc7GHjyfl1nHEcnUQK20X5BsO4x02DvRZndPgJIvIL4CXgly7KNxjG\nPW5Gie8SkVU4M4kJzjAu77sl32AwuDPMaXmvxTr6TptQrqr9p+AzGAy7iRs97Cqc+1YBZgDNyd+l\nwBZgtgv7MBgMuHAPq6qzVXUOzruwn1TVSlWtAE4HXBkdItV09AbDeMTNoNNiVe2ZpU5V/wYc65Ls\n24BTXJJlMOQsbhpsg4j8j4jMEpGZIvJDnJnFRoymno7eYBh3uGmw5wJVOI92Hkz+PtdF+UOSnPF9\npYisrK+vH34DgyEHcfOxThPOGzsZQVVvAm4CZ5jTTOlhGB0eenMby55cS01LF1NKQ1x28gKWHDg1\n02qNOW6mJhoMo8JDb25j6QOr6Yo7A5lsa+li6QOrAcad0brpEhsMo8KyJ9f2GGs3XXGLZU+uzZBG\nmSMnDFZE7gb+BSwQkWoRuSDTOhnGjpqWrl0q35NxI9Pp96SYta4bVf3OSPehqmMWvDJkH1NKQ2xL\nYZxTSkMZ0CazuHEPayaxMYwql528oM89LEDI7+WykxdkUKvMMGKDVdXb3VDEYBiM7sCSiRK7P5D4\nD4CFQF53uaqe4NY+DOOXJQdOHZcG2h83g053Ae/jJPv/FNgErHBRvsEw7nHzOWyFqt4qIt9V1eeB\n50XkeRflGww9jNdECjcNNp783i4inwBqgGkuyjcYgPGdSOGmS/xzESkB/hO4FLgFuMRF+QYDML4T\nKVzpYZODr81T1ceAVuB4N+QaDKkYz4kUrvSwqmoBZ7ghy2AYjsESJsZDIoWbLvErInKdiBwjIgd1\nf1yUbzAATiJFyO/tUzZeEincDDodmfy+sleZAuY5rMFVxnMihZsGe4GqbuxdICJzXJRvMPQwXhMp\n3HSJ70tRdq+L8g2GcY8bb+vsDewLlIjIWb3+KqZXiqLBYBg5brjEC3CGNC0FPtmrvB34ugvyEZFT\ngGsAL3CLqv7aDbkGQ67hxts6DwMPi8gRqvovF3TqQ/IZ7x+Ak4BqYIWIPKKq77m9L4Mh23HzHvYi\nESntXhCRMhFZ7oLcQ4H1qrpRVWPAPcCZLsg1GHION6PE+6tqS/dCcn7YA12QOxXY2mu5Gjis/0oi\nciFwIcCMGTPANjNdGnIET/r9ppsG6xGRMlVthp5JstyQLynKBgxJ02eY04MPUWwz0qkhR9gFP9dN\ng/0dTrbTfTgG9RngFy7IrQam91qehvMm0BCo6WENOYR3+FWSuDmQ+B0ishIns0mAs1wKDK0A5onI\nbGAb8Dng80MrA1jGYA17Hm4PJF4OdKjqn0SkSkRmq+qHIxGoqgkRuRhndjwvsFxV1wyzFagxWMOe\nh5tjOl0BHILzXPZPgB/4M3DUSGUnZ8V7YtgVe2PuYQ17IG72sJ8CDgTeAFDVGhEpclF++hiX2LCH\n4qbBxlRVRUQBRKTARdm7jpoedk/joTW1LHt+EzVtUaYUB7ns2Fks2XdiptUaU9w02L+KyB+BUhH5\nOnA+cLOL8tNHTZQ4G3jovTqWvbB5p4F9dCZLFk7YbVlL/76eroRzXre1RVn6t3WgutsycxE3o8RX\nichJQBswH/ixqv7TLfm7jHGJM8pD79ez9B8b+hrY39eDrSzZp2qX5S17fnOPrG66EjbLnt/MkgWV\nruicC7gdJV4NhHDuIle7LHsXUOMSZ5hlLw5iYC9uZsneu25gNe3RwcvH0bl2M0r8NeDHwDM4z2F/\nLyJXqqob+cS7hmJc4gxT0x4bvHw3zs2UogDbUsicUhQYV+fazR72MuBAVW0EEJEK4BVg7A0WjEuc\nYYY0sN04N5cdMZWlz/TttUM+D5cdMXVcnWs3DbYa5x3Ybtrpm7Q/dqhxiTPNZYdPZemzKQzs8Km7\ndW6WzK8AhWWvbqOmPcaUogCXHT41WT5+zrWbBrsNeE1EHsZxSs8EXheR7wOo6tUu7mt4xpGblI0s\nmVcGarPs1RpqwnGmFPq57PApTvlunpsl88qc7Xszzs6zmwa7Ifnp5uHk99gnT5jEiaxgyV5lLNmr\nn4GZ8zIi3Hys89Pu3yLiAQpVtc0t+buozbi78hrGB25Gif8CXARYwCqcQdmuVtVlbu1jlxhH9zXj\nmYfWN7NsZe1Ot/uQiSyZWzb8hjmKmy7xQlVtE5Ev4CTq/wDHcMfeYI1LPC54aEMLS1+uoctyLs7b\nwnGWvriNldvDPFvdQU1HnCkFfi47eAJL9iodRlpu4KbB+kXEDywBrlPVeHde8dij5m2dccCyVbU9\nxtpNl6XctbalZ0iSbR1xlr5c46Qwzsl9o3XTYP+IM+v628ALIjITJ01xtxGRc4CfAPsAh6rqyrQ3\nVmv4dQw5TU1HImV5/0t1l6Use6OOJbMz8/KYm7gZdLoWuLZ7WUS2MPJpJ98FzsK5GOyCMjh30oY9\nmin5PrZ1pjba/tR0JPaINuF2LnEPqqpAerU5uIz3AURSjcM25JZg7wFnxzAklx1QztLX6/u4xUKK\nEfpwjHtPaBOjZrBjTZ9hTidNxrZy/+QYUvPw5naWrW5me6dFiV/I83poidlMzvdy/OQQD2zq6GPE\nIa9w6X6lWdsmdmVwcLdmYPcAh6vqK7ux7VPApBR//TA5q0Ba9B7m9OB99lU7MaLO3ZClPLKlg/9+\ns5lI0iBb4kqeF353SDlnzHDGTDi4LMBVa1rZ3mUxOeTl0n1L+OTUENnaJsbcYFXVFpHfAUfsxrYn\nuqFDX6E2iVjq17EMuc1Va1p6jLWbiKVctaaF0yY5zfm0ST5Om1TRZ51sbg+7YoRuusT/EJFPAw8k\n718zhipYWXo1NYyM7V2pn69v77LHxTl302C/DxQAloh0kbz/V9Xi3RUoIp8Cfg9UAY+LyFuqevJw\n26naWLHU72MaspvHd8S5dkOMHVFlUlD4zl4BPjHJ3/P/pKCwPTqwP5gUlHFxzt18rOP6Qy5VfRB4\ncDc2xIrH3VbHMMo8UZfgZ+ssIslOdHtU+em/o9hWgtMmOE314lmePut0c3QZ4+Kcu5lLLMAXgNmq\n+jMRmQ5MVtXX3dpHuqgqdmLPP3l7An+rt7luC9TGHJesv8MbseH3H1qcUu70qqeUw5uVcF9d3/Ue\nrVMOKIxyapWnj8yJAbh4Bpxa5eZEjZnDTZf4epz6PgH4GRDGmdd1sYv7SAtVJRHf892jXOfvjcKv\nNnuI2M5z9sECH7WxvufzpRYv/edIi9hw3RbFsuJ9ZO6Iwc83OuWnVOR+uqqbBnuYqh4kIm9Cz3ST\nARflp49xiXOC66uDPYY1FBP8fc9nbSz15FG1Mbi+WgbIjNjCTz/0YCfinFyenc9i08VNg40nZ0vv\nHki8ioEezpigqtjGYLOeunjesOsERflGVQQ7vjMCPMEXpDYx0NAn+JS6eOoLgI3w62o/aiX4eGnu\nRpPdNNhrcQJEE0TkF8DZwP+4KD9tVJV4NHufu2ULT7UHuaWpgLqEhwk+m6+Vd3Bi0djV2wRfAbWJ\ngb2lB0WhR6fjQ1HivdT6WjlcVV9EVHcaZ1CUr5WHuaUptUyAqAp/rAtyfKjD7UMZM9yMEt8lIquA\nj+HcYCzpzgUec1Sxrdy9io4FT4XzuLqxkKg6wZjahJer6guxbYsTCyNjosP5pW1c3VjSowNAUGy+\nX9HaR4f+KcAn5CewKyxubS6i3vJS5bW4oKydE/Ij2LbFsoZSEinnAYe6hCen24abUeIrgReB21Q1\ns5cw1axNQ8sWbm0u6mMoAFH1cGtzESfkhcdEhxPywmipzfK2kh7DO7+4lRPyOrGHOX0n5IU5YXJf\nPe2EU36dFNOuqXvZKq+V023DTZd4E3AucK2ItOMY7wu7kg/sFqo2iejY9BK5Sr2VukHXW94xrbtj\nfRGOLW/qU5YYoVce1sEe4Shfya/P6bbhpku8HFguIpOAzwCX4rw9M+ZvDZvUxOGp9MSptwcG8Ss9\n8VGru2ejxdwRqaLB9lPpifPlvHqOD6Ye4yDVuu/HQ/w9XoaNkzB/ir+ZbxXWpjyGVMdWhMWxvhZy\n2CN21SW+BVgI1OL0rmeTnCt2zDGPdYblS/4d/CE6jWivd0WC2HzJv2NU6u75eCl/iE7u2V+9HeC6\nzsmoZXGsv2XYda/unIwidD9/tYEn4mVom81FoZq0ju3rwZqcbxduusQVgBdoAZqABlXNyLXM5BIP\nj20lCGARTRpAEQku8G7laG3CGoWquzM2sY8BAUTxcGd0Ikdr37Slm2OTB6yrKV9CE560Kvh6bFOf\n0qOpw/YmuMuaSgMBKonxBe+2UTu2scRNl/hTACKyD3Ay8KyIeFV1mlv72AVlsK3cvpK6xQt2BX/R\nGTQSpIIon5ctANyoM4mx8z42igfbTmAzOvXWQOocmgYCfc7VC3YF7bvQLG1Iea6PppajvX3d5T1g\nwAlXXeLTgWOAjwJlOLPYveiW/F1BVUnEjMG+JFXcJHsRE8cwG8jjRnsvAlg9Zd3E8PIXewZHJnaM\nii4VnigNMjBRokKjfc7VXzwzYFeGBFK4KHEgn9MPOVrr3VA1q3HTJT4VeAG4RlVrhlt5NFFVLJNL\nzD2BWQMNU7zEBomiNhActXr7jGcdt/gX9tEnoBafia/DsnfusyEYTC2g+xXr/sYsQgN53MR87ESC\no+yBQag9CTdd4m+LyERgsYgcBLyu2u/mZBcRkWXAJ4EYzrw956lqy9BbkXwOa3rYhuDwqX+9qdDI\nqNXbEVRj2xb3BhbQKHlUaIRzYms5IrG9T/5qRSBCo4QGbF+gcQ5P1PCsfwY2MsBwY+LlDt8C/o+5\nfeQfldjeZ72XfZMH6NB/nWzGTZf4HOAq4Dl2Tuh8mareNwKx/wSWqmpCRH4DLMWZUWBIVJVE1PSw\nFaEuGr35A8oLNUYMLzHZefoDmuDTHWtIjGKw7rDoZg7r2NynrH9U8tO6htsKPzJAty90vMMRsW18\nkbc5r/yMlPLD4iecfN+kUUIsDy7Cjic4IrYNgH8FpnJbcFGP7FTrZDtuusT/Ayzu7lWTyf9PAbtt\nsKr6j16Lr+I8KkpnOyzTw/Kp8GruKDqYmKdX47cTfK79LQAeKFxEkyefcruTs8Lvcmhka8aH7j00\nsQnbtobUrdzupMlbMHDjAb2uj/vy9+HQzk0A3Fe6T58LQap1sh03DdbTzwVuZNcGhBuO84H/G+zP\n3sOcTigowDKz12HbNn5NEEum6RXYUT7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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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5ObSENolSp330EaQrMKSUFvFEO0S1EiCZ5iCtTvt4X3ITJzstRbdW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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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/gzGv04YxCaAC+EgpdUt31/Ui/kTgI+A+FZrGF4k5c+aoNWvWmJGs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\n0kZJX4j4OZIekjQe28cifljSWkkrJD0p6TZJewx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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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6k1eRx6NLH2Vn/k6SwpOYOmKq5ur9dulvfHTeRwCsPawylwa0GqAsbZ6rHXp5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\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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9Tg6cNVCWecpi5l+b2rOGgsGgXLB7gfQH4p8dEwwGpcfvkQNnDZR3fHdH2G9e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\ntjOc8HNE5EUReVhE3hORX4lIn4HuIvIVR+ZmEXlERIpiDp/nyN4uIhc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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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//57kCy8k3Hc9Eh5OxoMzSbrwAgo++JD9L76IKy2NxDPPJPW6axGHg+LvvqNi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\nyzi7Yh0TPDvb2lxDC7GzSnw28CDwGQc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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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RRVk5neDxsHGUcOxebblngOpYSOo43iMwm/R0PGVlrBkrnLCre+PKQ378YzJv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\ndkpIlgZ7UNL5HNu97gZgf4b1p8afEjtlJUuDnUd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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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HfNebncOaKAvTSjxdRD4AXsCVtpcBn4RJXFUvr2b9u8C7YTMZVvgqsUWsiaYwrcS/Bp4E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\nC1hjIuT/A6NctJJ41dcDAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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lApzzF1PqeBl8YfX/C/4X2Fsa78s329k9zAv/wwx4/SpjFfzzSFj2JqRmQ5cj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\nT1NivceWeMZN8/h1zLzHlzi/r8LM6VT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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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xYBDJ0QEpuDO6Bq8PcNYd0LmPCZQVbzAK5nP7fa6lT/m9tXDmNHPT8gVY+oVw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\nD/Z6U+iZVMv1nYp5trxHkGIDVGkSM0q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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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VhXxzsaZP9PSRSZT3f59acC5fP+Hy/Pc1Vc2e/QFVkCm7Y8eQPv207c/zGfNOz7a04V2W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\nYAFwifO9Fz35nw8fPv6/vTMPk6sq0/jv7U4n6TR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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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yMrEdk1FaN/wgbQbpzbChMSECBIU9aUREkknaeg7R7Bqunx3rkNRQQHp/vIkO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\nRG4DKkXkAuB84HZfJFFrvc9WFryzkbkvrKFux16qywuZdfRoavYbAkB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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Mnsql4e8n1mOO8teT9kCmWVh3TuKUKnEwteqcYEKG92eoGC56CPb4pPkNTp9t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\nYII=\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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WwFaf9XRgYAX73wmcCaSKSGdVfdnfTiJyM3AzQNu2bf3tUvaIwKy1WOoQgQjW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\n//79deFC+9ZfJFK2bgpm1Pp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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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/yU66wXP/E/aczH1ffFfgSpUDoRBMEjAkZqXtF9ivnLInl56y55Du6x7fT8QK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\npOKkEidJxUklTpKKk0qcJBXnL1KKAMUc8E8+AAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Pwo3PXuL7RWQBbjUxwYVxWeHLvhFOGnuDrZfYDz5iOg1q63tVbb4EX9KxCexG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\nwwgRJljDCBEmWMMIESZYwwg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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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4EfB4shwvAh5PluNFoLkkdWLm8XQsLDb5xVMXM9tEAgcnAQOAMMchC7N9YbYN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\neDxZzv8H9k7G7o34i7MAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Rg27t04L2Cywq9c31ew1nOGX5dmnGOwmtEe/ULo1rjh/A2oDiDpgHOBzt0gLFIPghTktO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\nU7F5laoewDzYPwLLMB5MJHNi/Ba4VkS+wQiAj5n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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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vi0fNRLGswB43klKtSWxpM7F4iZcR7hXuB3zVhjTnAcNEZJCIpAHnAa+0Ib4A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\nEy4AwW9eAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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tS8lE8+7VcG4DWDC2c/6mnBT7veVA1KsMUdPSLReILf+i8bH/a/rp\nsekVjYfDP975vi4RoXU1bZO5f1GF6Z/H89pvTUDIszfA0p+Y555XGusIK55gLJUYJyPGotj2Cjz5\nPXjF6Vt/2hllSCVwoweMKKFtqMng5ZMXU9fhVAy3QnhNm9HTOl847rDoZ7fiesl1tIw33M8bLDBq\nqnkfe4h537/ZaLTdnr6bV2hFoto2u8B8P+maWCugoNw4ke652GgQr3nsdYodExc04e0fupVp9DRH\naGuizq1Qm2mI4issGCE/4Rum0St1tO+cS+CiX8H8L0TPP+hsOjHaEw/sDmO5jSLECnDJxNj/NfkE\nuODnnv+ZoKHwklMYdcqpOpo235Snm2+XQJ6xCgBe+WVsvooroueVJYlnbq6Gu8+H139nxtclE6ad\naiyRlX/ytW87ooRWFYKBfAg5BZjn9HG9Qpvn6fee/l+m0ns1SyAucgc6m4Z1O2Ifriu0bkTO8z+E\ntf+MBhKAEVrX1ISoJnCjkj7yQ/imE/Uz7zOm8r/3GGxN4AgJZEc/ewUCov1GL2NmQr7jofaadk37\noNxp4ArHQVZu9LdzboLv74lq9axc45ib53HYlc8y3vBDL40eK5se/Vz9vmmoSqdEj7lCe+SVxunl\n/V+5JXCMp1FwtfvsCzv/JzBhluMPM2PY25Y5fVon9NJtfOdcAp97qnOXCcysJYg+P4CyBIsGxodz\ngulPZ2bB2T8wjsPXf584j71gZC7b4Paf8hMIrXfg//QkyztfclusCdrJCbMjdjholKO9s/LhuK+Y\n1njbsth42aZ9RoO5RDRtYeyx/9ho8rvsFjM+647/ejWSS35ZtB+ajJLJJspp03PG5POOlwZbTYXN\nyEpsYSSa+uet/OWz4d8fNQL9jmMqev9juMP8F29ZHnyOsUgOPtd8rzjCCHXZQdFGTTKMieoK9Mfv\nMZbBb4+H474Mz1zv5C8DDrkYHv12NExxnNMouPcsnw1TTjD59vZpP343VB4Z/U/uPV1LIbswOhQ1\ndrZxtMWUg5PXY75gGvpDP9a5rHrJyBRaF1fYvN7Z/DLTOnc16XzelbHfc+M0bbjD9EtdRjmaJDsf\nzvsfo2H3byZm0lT1hliNnu0xj70UOSbyaf9pNME/PgObX+hsAVz3oaloiTTrydeayqphmHmOMRdd\noY8fBskqMP3Mspmd00mEt5EZPb3zihZeoQWjwfPjtOmci2PPvyZuSbKvLTcNlhvRlBkwr2ud7oYr\ntGDK/NyfmthsiPapI42ck794TevV/mBM/fefiQp72UGwy7GUiis7C22ux2qal2C4sA+MbKGdciKs\nfyRWWA46G47+957NsUzkOXVjbyFqUrl90jEzzdzT/NGQUxKNlfVqebcSxQutl5xCWHA7LP1pZ6eP\nW2kS/Y9jvtR5XSe3W3BgW+zxQA5c+Y9YB1JXeCu/V2APudiU9ag4n8GoaUYjRq4vplvKZyV3zoH5\nf9WeubfzP2/67+88FC1Pt8F2AzHihdZrEgN87Pew/DaYdb75PmZmVGgnHA3rH409P5BHfzGi+rSd\nOPbL8MXnY/tcbmXuyZpHxZWmEnidKFn5xvQE06/86mtRwSqfZRwXB7ZBpWf4JEZoHY2VqL/kpWi8\ncQBlJakkif5HUUXnY67mWfaz2OOBXMchlOJyG65QnLow9vild8I3VnXuSpTFad5EfcuecsEtxiz3\n4jYW7swet5Fyh2O8980u7JzP/NFw5vejffe5l0d/m3UBXLM2GpcNsUNYPjOyNW1GhonTBSO88WO0\nqZJTBN/bZrTaj8qNSZqVB19+KdpHHOcd1nC0RKgdJsyPenFz4xxRgdxoaKKfJNo10G2s4gNDvM6n\nVBCBHyQII83KhTEHdQ5lHB3njfU60fzENWvdAJI5F5u5vKcvMt+9QnvUVV032hf9KvZ7wRgj1CUT\no3HPibolPjEyNe3Ms+Hf/hF7bOL8zsMAPUUkKnjZBeZBlh/c+bwxnv5h6eRo8IVX046e3tmU7C1X\nPgDHf73rc0ZNNefFE+ih0HZH2Qz4zJLY7wBH/Ju/94nHbZDdyLOcIrjyn9EhPrcvPvcy0wfuCa5P\n4/ivweGfMp/7cc7tyBTa3BLjpewP3LHHaacmP6d0clQYCsdGtYBXaE++Fq5e6k+eZp4NJzuB7131\ntWYmGFdNNMTVV2acEa3ormPqY7cn1tB+UeHMA56aJLrM1bQ9Mc8PcpbDdS2X6adFy7kfhXZkm8f9\ngTs0MLOLFXkyMo1zas86M+RRVGkiarz9V9cj6hf5ZXDYx81821TICJh+md+a1uWzj5spcl052vxk\n1FRYuDl2HN5Lb4T2ir91Xr3DbXjjHVk+YoXWb76+wlT27pYvHXNwVGgnH2cC1FNdSaE3ZGTCZV3E\n6bpcs9bEUC+9Gba/Gg2n9Jvxc81rIOlqOdWI0KbgvXbJzOr8zIor4ZP/19mb7yNWaP1mTPJtNmMY\nd6iJaCocB2f+twmO78qkHihKJ5vX9teM0Poc7D5k6Y2mTcYhKaw31Qes0A4Wx3/VbBHihin284Pu\nMSddAwgc2c8OoqFCZFw8yRzdIYQV2sEiuyB2ittQIys3eRjncMQVVj80bT8zMr3HFks8o6cbp9uY\nFMM1BxGraS0WMPHh39/T/XlDAKtpLZY0wwqtxZJmWKG1WNIMK7QWS5ohmmZ7c6aCiOwDEuxBGWEM\n0MVOWIOKzVvvGcr56ypvU1Q1yTq5nRmWQtsdIrJSVecPdj4SYfPWe4Zy/vzMmzWPLZY0wwqtxZJm\njFShvWOwM9AFNm+9Zyjnz7e8jcg+rcWSzoxUTWuxpC0jSmhF5FwR2SAim0TkukHOyyQReVFE1ovI\nOyLybef4D0Rkp4i85bzOH8Q8bhORtU4+VjrHRovIsyLyvvM+qrt0+iFfszzl85aI1IvINYNZdiJy\nl4jsFZF1nmMJy0oMtzr1cI2IHNWjm6nqiHgBmcBmYDqQDbwNzBnE/FQARzmfi4CNwBzgB8B3B7u8\nnHxtA8bEHftf4Drn83XA/wyB57obmDKYZQecChwFrOuurIDzgScxK6UfD7zek3v5pmlF+mtdEt84\nFtikqltUtR34O3DJYGVGVXep6mrncwOwHpjQ9VVDgkuAe5zP9wD+b8DaM84CNqtqV8E0/Y6qvgzU\nxB1OVlaXAH9Ww3KgVEQSLEadGD/N400islhE5nR/6qAwAfjQ830HQ0RIRGQqMA943Tn0Dcdsumsw\nzE8PCjwjIqtExF0Rbpyq7gLT8ADdbF3X73wK+Jvn+1ApO0heVn2qi34K7eEYE+8PIrJcRK4WkR6s\nktXvJFp9etBd5yJSCDwAXKOq9cDtwAzgSGAX8LMuLu9vTlLVo4DzgK+LyBBYxCqKiGQDFwP/dA4N\npbLrij7VRd+EVlUbVPVOVT0R+E/gBmCXiNwjIimudtav7AC8q5FPBKoGKS8AiEgWRmDvVdUHAVR1\nj6qGVDUM3Ikx6wcFVa1y3vcCDzl52eOacs773uQp9DvnAatVdQ8MrbJzSFZWfaqLvvZpReRiEXkI\n+BWmlZsOPAo84dd9+sAKYKaITHNa6E8BjwxWZkREgD8C61X1557j3r7Nx4B18dcOBCJSICJF7mfg\no05eHgH+3Tnt34GHByN/DlfgMY2HStl5SFZWjwBXOV7k44E614xOCR+9Z1swlfDEBL/dOhgevQT5\nOB9jwm8Grh/kvJyMMYnWAG85r/OBvwBrneOPABWDlL/pGA/728A7bnkBZcDzwPvO++hByl8+sB8o\n8RwbtLLDNB67gA6MJv1CsrLCmMe/derhWmB+T+7lW0SUiJysqv+KO3aSqr7iyw0sFgvgYxijiKxW\n47To8pjFYukbfV6NUUROAE4EykXkO56fijED3xaLxUf8WEI1Gyh00vKu9FwPXJ7wCovF0mv8NI+n\naD9EpYjIJODPwHggDNyhqr/q+iqLZfjSZ6EVkV+q6jUi8igJBohV9eI+pl+B8QKudoYgVgELVPXd\nvqRrsaQrfpjHf3Heb/EhrU6oGb9yQ8EaRMSN0bVC20dExB2SAGPJhABnq3Sa1QTKWIYY/TIJ3on5\nnKSqa3xOdyrwMjBXTcif97ergasBCgoKjp49e7aft7ZY+o1Vq1ZV62CsxigiSzFxoAFMoMA+4CVV\n/U5X1/Ug/ULgJeAmdUL+kjF//nxduXKlH7e1WPodEVmlPVip0c8JAyWO9rsU+JOqHg2c7UfCiWJ0\nLZaRip9CG3CcRp8AHvMr0WQxuhbLSMVPob0ReBoz0XyFiEzHxFz2lZOAzwBnDoUlWCyWwca3/WlV\n9Z9E5zWiqluAy3xI918knn9osYxIfBNaESkHvgRM9aarqp/36x4Wi8XfneAfBpYBz2HG+ywWSz/g\np9Dmq+r3fEzPYrEkwE9H1GPWQWSx9D9+Cu23MYLb6iwe3SAi9d1eZbFYeoSf3uOi7s+yWCx9xc+F\n3UREPi0i/+18nyQig70ansUy7PDTPL4NOAH4N+d7I2bxKovF4iN+eo+PU9WjRORNAFU94CxVarFY\nfMRPTdvh7Odj1og0wRZhH9O3WCz4K7S3YlahHysiNwH/An7iY/oWiwV/vcf3isgqzC5mglkSZr1f\n6VssFoMfS6iO9nzdS+w2DaNVNX77P4vF0gf80LSrMP1YASYDB5zPpcB2YJoP97BYLA597tOq6jRV\nnY6ZS3uRqo5R1TLgQqDPq0w4+4zuFZHB3kzJYhkS+OmIOkZVI7vjqeqTwGk+pHs3cK4P6VgswwI/\nhbZaRL4vIlNFZIqIXI/Z1axPqOrLgO0XWywOfgrtFUA5ZtjnIefzFT6m3yXOzvMrRWTlvn37ur/A\nYklT/BzyqcHM9BkUVPUO4A4wS6gOVj4slv7GT01rsVgGACu0FkuaMeSFVkT+BrwGzBKRHSLyhcHO\nk8UymPgREfVrEuyW56Kq3+pL+qo6YM4sy9BnyZs7Wfz0BqpqW6gszWPhObNYMG/CYGdrQPHDEWU3\nzbEMCEve3MmiB9fS0mEW+9xZ28KiB9cCjCjB7bPQquo9fmTEYumOxU9viAisS0tHiMVPb7BC2xuc\n+bPfA+YAue5xVT3Tr3tYRjZVtS09Oj5c8dMRdS+wHjNB4IfANmCFj+lbRjiVpXk9Oj5c8VNoy1T1\nj0CHqr7kbAdyvI/pW0Y4C8+ZRV5WZsyxvKxMFp4za5ByNDj4uUZUh/O+S0QuAKqAiT6mbxnhuP1W\n6z32jx+LSAnwH8CvgWLgWh/Tt1hYMG/CiBPSeHwRWmdBt5mq+hhQB5zhR7oWi6UzvvRpVTUEXOxH\nWhaLpWv8NI9fFZHfAPcBTe5BVV3t4z0slhGPn0J7ovN+o+eYAnac1mLxET+F9guqusV7QESm+5i+\nxWLB33Ha+xMc+6eP6VssFvyZ5TMbOBQoEZFLPT8V4wlntFgs/uCHeTwLs1xqKXCR53gD8CUf0kdE\nzgV+BWQCf1DVm/1I1zL8GY5T+fyY5fMw8LCInKCqr/mQpxicMeDfAh8BdgArROQRVX3X73v1B8Ox\n0qQLw3Uqn5992q+ISKn7RURGichdPqR7LLBJVbeoajvwd+ASH9Ltd9xKs7O2BSVaaZa8uXOws5a2\nLHlzJyfd/ALTrnuck25+ocuy7GoqXzrjp/f4cFWtdb84+9PO8yHdCcCHnu87gOPiTxKRq4GrASZP\nngzhwd9lc/HT7yWpNO+x4IiKQcpV+rLkzZ0sWrKOlg7zbE0juAbC4YSas8upfEOgfvQWP4U2Q0RG\nqeoBiGzM5Uf6kuBYp+VtYpZQPXq+Eh78VVSraluTHx8C+Us3Fj+zMSKwLi0dYRY/s5EFR1R2Or+y\nJJeddZ2fQWVJblqXv59C+zNMVNT9GKH6BHCTD+nuACZ5vk/EzCDqAh0SLWnXlWbw85duVCUoy8jx\nBOW58OyDWPTIuzGCnpeVwcKzD0rr8vdzsfI/i8hKTASUAJf65CxaAcwUkWnATuBTwL91nRkgNPgP\nZeFZM1j06PrOleasGUMif+lGl41ggvJcMHc8qLL4+c1U1bVSWZLLwrNmmONpXP5+alqA0UCTqv5J\nRMpFZJqqbu1LgqoaFJFvYHblywTuUtV3urkKdPAfyoK540yleWEzVXVtVJbksPDMGc7xwc9furHw\nzOkseuy9To3gGTNHc9Ivl8WW8WHjAfMMFswdF5tQmpe9qPpj24vIDcB8YJaqHiwilcA/VfUkX27Q\nA+YfdZSufPlfA31bSx9Ysm43i1/cEhW8M6YbjdjNeWccVMYDa3Z3EuSfXjAr4fVDESkqWKWq81M9\n309N+zFgHrAaQFWrRKTIx/RTZ4iYx5bUWPLOHhY9sZGWoOMVrmtj0WMbIKwsODRWSy44ZCwLDhkb\n+X7Sb5cndk69sCXmvOGEn0LbrqoqIgogIgU+pt1zfLIgLP3P4qVbIwLr0hIMs3jpVhbM6Vrwqurb\nkh9XZck7e1j80jaq6tuoLM5h4WlTOzUE6YafQvsPEfk9UCoiXwI+D9zpY/qpo0PDe2xJjS4Fr5vn\nWFmcw84E11cW57Bk3W4WPbUpqsHr21j05Pug2m1jMJTx03t8i4h8BKgHDgb+n6o+61f6Pcaax2lD\nZVEOOxsSCF5RTrfPceHJk1n0zOYYTZ0XyGDhyZNZ/NIHCTX4D5/bwoJZY/zJ/CDgt/d4LZCH6VWu\n9TntHqDWPB7CLFm/j8X/2k5VQzuVRdmcMa2UB96tTiB4k7p9jgtmjzEeek96C0+ezILZY7j2ifcT\nXnOgNciSd/ey4JByX//XQOGn9/iLwP8DXsCM054G3KiqfsQf94j5RxypK59+bqBva0mBJe9Vs+i5\nrZ0E9LI5Y3hxa21U8E6aZASyl/dY/MqH7GxoT3rOhKJsXvmCH1G2fUcqygfNe7wQmKeq+wFEpAx4\nFRhwoQWseTxEWfzKhwlN1he31vLKZ4+IPbkXz3DJhmoWvdDZLI6nqqGdJe/uZfFrO6MNxQkT0sJs\n9lNod2Dm0Lo0EBvoP3CoNY+HKlVJtF9VQ7svz2zxazu7FViA3EyJEe6dDe0seuEDUFgwq6zP+ehP\n/BTancDrIvIwpk97CfCGiHwHQFV/7uO9usd6j4cklYVZ7GzsSHi8L89sycb9LF5elTDtRLSFlHDc\nvJOWYJjFr+1gwcxRvc7HQOCn0G52Xi4PO+8DH2BhgyuGLAuPrWDRyx/SEowKTF5AWHhsRa+f2ZL3\nazql2R3J7lTV2DHk646fQz4/dD+LSAZQqKr1fqXfw9xYTTtEWTCj1Hh7V+ymqrGDysIsFh4z3hzv\n5TNb/MauHgksQKZAKMElfdX4A4Gf+9P+FfgKEAJWYRZ6+7mqLvbrHj3C9mmHLAtmlBoh9dKH51XV\nhUk8KieTxvYQHZ7k8zKFyw4u5YGNtbR4JDcvU1g4f9yQrzt+msdzVLVeRK4EnsBsML0KGHihtebx\niKKyIIudTZ0Fd0JBFsHxxNgAAA3pSURBVK984mCWbK5l8aq9VDV1UFmQxcKjTTTUY5vrIkI7KieT\nG44bz4JpJUO+7vgptFkikgUsAH6jqh1uHPLAo2m9MoGlZyw8qpxFr+7qrDWPKjeTDqaVGGF0WLKl\nttP5rcGwE/469OuNn0L7e8zu728DL4vIFExIY68RkY8DPwAOAY5V1ZUpX6yh7s+xDAsWTCsCDbP4\nzWqqmoJUFgRYOG+Mc7xzPVi8em+MwAK0hJTFq/eaa4Y4fjqibgVudb+LyHb6vuXlOuBSTIPQg8xg\netaWEcOCKSUsmFISezBJHahqCiY/ngb1xu/Y4whq4iMTl07qaawHEEm0tluXV0I4DUrf0muWbKtn\n8ds1VDUHqcwPsPCI0SyYWpzStZX5AXY2d66alfmBtKg3/Sa0A03MEqrjKwiHhn7hW3rHwx808F8r\n90dM3J3NQRa9sQ8Nh7lkSvfm7XcPK425Hkwf+LuHlaZFvfFrJ/gM4HhVfbUX1z4HJFoX5Hpn94KU\n8C6hevQhh2o42CclbxnCLF5zIHGfdM0BLpqQ1+31F03IQ0OjuOWdOna1hKjIy+S7h5Zw0YQ80qHe\n+CK0qhoWkZ8BJ/Ti2rP9yENsomGC7YknVlvSn10tibXhrpZQys/9/PEBzh8fG2OcLnXGT/P4GRG5\nDHhQ/Zrv10tUIZQGLaald4zPzWBXa+ex1PG5GSPiufsptN8BCoCQiLRg5tSqqqbmHUiAiHwM+DVQ\nDjwuIm+p6jndXacaJtSefC6lJb351vQsfvheG165zc0wx0fCc/dzyMf3AS5VfQh4qBcXEupIbbaH\nJf04twzCMzP5zbYQu9tgfA58Y2om55YxIp67n7HHAlwJTFPVH4nIJKBCVd/w6x6poqqEg8P/4Y1k\nzh0N5472bvo4cp65n+bxbZgZT2cCPwIaMfvKHuPjPVJCVQl2DH8zyTIy8VNoj1PVo0TkTYhsdZnt\nY/qpY81jyzDGT6HtcHZtdxcrLyf5XON+RVUJW6G1DFP8FNpbMU6jsSJyE3A58H0f008ZVaWjLT3G\n3CyWnuKn9/heEVkFnIUZ7lngxg4POKqEQ8N/vM4yMvHTe3wjsAy4W1Wb/Eq3V6imRTiaxdIb/DSP\ntwFXALeKSANGgF/uSfywX6iGCbYl3jXcYkl3/DSP7wLuEpHxwCeA72Jm3Qz4rGIbxmgZzvhpHv8B\nmAPswWjZy3H2qh1w7JCPZRjjp3lcBmQCtUANUK2qg6LubOyxZTjjp3n8MQAROQQ4B3hRRDJVdaJf\n9+hBZgiHrKa1DE/8NI8vBE4BTgVGYXbPW+ZX+j1BVQm2W6G1DE/8NI/PA14GfqWqVT6m22NUlZCN\nPbYMU/w0j78uIuOAY0TkKOANVd3blzRFZDFwEdCO2Sfoc6pam0JmRsyMD8vIw0/z+OPALcBSTETU\nr0Vkoare34dknwUWqWpQRP4HWITZuaBLVJVgm9W0luGJn+bx94FjXO3qTBh4Dui10KrqM56vyzHD\nSKlcR8hqWsswxU+hzYgzh/cDGclO7gWfB+5L9qN3CdWxBQWEhvjOZxZLb/FTaJ8SkaeBvznfP4nZ\niKtLUllCVUSuxyx8fm+ydLxLqB5UVqatVmgtwxQ/HVELReRS4GRMn/YOZ42n7q7rcglVEfl34ELg\nrFRXeVQgOMS3K7RYeovfOwy8itkNJQys6GtiInIuxvF0mqo2p3qdAu1W01qGKX56j78I/D9MUIXr\nPb7RmUjQW34D5ADPOvv5LFfVr3R3karSbjWtZZjip6ZdCMxT1f0AIlKG0by9FlpVPahX12HNY8vw\nxU+h3QE0eL43AB/6mH7KhAHriLIMV/wU2p3A6yLyMEbZXQK8ISLfAVDVn/t4r26xmtYyXPFTaDc7\nLxd3xYpBmASvdFihtQxT/Bzy+aFfafWVMNZ7bBm+DJtNpb0oWE1rGbYMS6FF1fZpLcOWYSm01nts\nGc74GVxxMHA7ME5V54rI4cDFqvpjv+6RKnac1jKc8VPT3okJsPg9gKquEZG/AoMitDYiyjJc8VNo\n81X1DSfc0GWQVmNUOqx5bBmm+Cm01SIyg+iueZcDu3xMP2Ws99gynPFTaL+Omc86W0R2AlsxO8MP\nOAq0WU1rGab4GVyxBThbRAowq1g0dHdNf2EjoizDGT+9x2XADZhJ8Coi/wJudGf9DCTWe2wZzvhp\nHv8ds+7xZc73KzFrOnW5MkVXiMiPMBMPwsBe4LOprKlsx2ktwxk/hXa0qv7I8/3HIrKgj2kuVtX/\nBhCRb2Em2Xc/CR6raS3DFz+F9kUR+RTwD+f75cD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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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BD3uhbj2CGV5nSGY6conviLJNsIJPF/VMdXoekzhhSGY6mub0bee1iBwCfBf4\nNrAB+N+er1rPYOUSJ7oWBkPX6Mglnog1Q+JFwE7gSUCSfYFnk0tsSGY6cok/B97Fmh5mHYCI/KxX\natWDqOmHNSQxHTmH38BKQ1wgIveLyClYbdikxgSdDMlMTMGq6nOq+h1gMtZaOj8DBovIX0XktF6q\nn6+oKkGzVIchiYkbflHVfar6uKqeDYwAlgHX9XjNegC1h+Ebl9iQrHQqXqqqu1T1XlU9uacq1B1E\n5BwRua+mJvrytQFbscbAGpKVlOrgiJdLHAjagjWKNSQpKSXYeIRcYiNYQ5KSVoI1LrEh2UkvwTou\nsQk6GZKUtBIsNRXMznqcsvr1ia6JwdAl0kqwurea/8p6iZLGykRXxWDoEmkl2KDdhhXjEhuSlLQS\nrBMlNm1YQ7KSVoJ1LGxafWlDSpFW964TJZa0+taGVCK9bl3jEhuSHE/zEqcKW5t28VhZKeMCOxJd\nFYOhS6SVhd3ZXMujJcXsCEYfHGAw9HXSSrCYoJMhyUmrezeI0w+b4IoYDF0kpQQbbzxsKHEi+We6\nMaQpKSXYeONhMyt38JtHWineuL2Xa2Yw+ENKCTYujS1MrIKsxpZE18Rg6BJpJdgBhdkAlBVkJ7gm\nBkPXSCvB5mRm2v/T6msbUoi0Spxobspkx7Cvkd2Un+iqGAxdIq1MTWNDNmsnXkhjY3Giq2IwdIm0\nEqzBkOwYwRoMSYQRrMGQRBjBGgxJhBGswZBEiDoTHaUQIrId+KqDXQYCfXVQrKlb1+nL9euobqNV\ntdxLISkp2HiIyGJVnZ7oekTD1K3r9OX6+VU34xIbDEmEEazBkESkq2DvS3QFOsDUrev05fr5Ure0\nbMMaDMlKulpYgyEpSSvBisgZIrJGRNaJyHUJrstIEVkgIqtFZJWIXGNv/7WIVIrIMvvvzATWcaOI\nrLDrsdjeViYir4nIF/b//gmo1yTX9VkmIrUi8tNEXjsReVBEqkVkpWtb1GslFnfZ9+FyETnU84lU\nNS3+gEzgS2AckAN8CkxJYH2GAofar4uAtcAU4NfA/0n09bLrtREYGLHtD8B19uvrgN/3gd91KzA6\nkdcOOB44FFgZ71oBZwKvAAIcBXzk9Ty+WVgRyfSrrB7iCGCdqq5X1Wbgn8B5iaqMqm5R1aX26zpg\nNTA8UfXpBOcBj9ivHwFmJrAuAKcAX6pqR4kyPY6qvgPsitgc61qdBzyqFguBUhEZ6uU8frrE60Rk\njohM8bFMPxkObHa9r6CPCERExgDTgI/sTT+2XaUHE+FyulDgVRFZIiKX29sGq+oWsB46wKCE1c7i\nQuAJ1/u+cu0g9rXq8r3op2DWFtxTAAAXtklEQVQPwnLr/iYiC0XkchHpSyPFo81tmvAQuYgUAs8C\nP1XVWuCvwH7AIcAW4H8SWL1jVfVQ4OvAVSJyfALr0g4RyQHOBZ62N/Wla9cRXb4XfROsqtap6v2q\negzwC+AmYIuIPCIi4/06TzeoAEa63o8AqhJUFwBEJBtLrI+r6r8AVHWbqgZUNQjcj+XKJwRVrbL/\nVwPP2XXZ5rhv9v/qRNUP60GyVFW3Qd+6djaxrlWX70Vf27Aicq6IPAfcifV0Gwe8CLzs13m6wSJg\ngoiMtZ/MFwIvJKoyYi0D/wCwWlX/6NrubsucD6yMPLY3EJECESlyXgOn2XV5AfiBvdsPgOcTUT+b\ni3C5w33l2rmIda1eAL5vR4uPAmoc1zkuPkbJ1mPdgMdE+eyuREURI+pxJpbb/iVwfYLrchyWG7Qc\nWGb/nQk8Bqywt78ADE1Q/cZhRdI/BVY51wsYALwBfGH/L0tQ/foBO4ES17aEXTusB8cWoAXLgl4a\n61phucT32PfhCmC61/P4lukkIsep6nsR245V1fd9OYHBYPBVsEvVClB0uM1gMHSdbs9LLCJHA8cA\n5SJyreujYqxObYPB4BN+TCSeAxTaZRW5ttcC3/ShfIPBYOOnSzxaeyDbRERGAo8CQ4AgcJ+q3un3\neQyGZKDbghWR/6eqPxWRF4nS+auq53az/KFY0b6ldjfDEmCmqn7WnXINhmTED5f4Mfv/HT6U1Q61\n+qec9K46EXFybo1gu4mION0OYHkwAcBZPLderSQYQx+iRwaw2zmcI1V1uc/ljgHeAQ5QK43P/dnl\nwOUABQUFh02ePNnPUxsMPcaSJUt2aG/Pmigib2HldWZhJQFsB95W1Ws7Oq4T5RcCbwO3qZ3GF4vp\n06fr4sWL/TitwdDjiMgS9Tijop/J/yW21bsAeEhVDwNm+FFwtJxbgyEd8VOwWXaA6NvAPL8KjZVz\nazCkI34K9hZgPtYg8UUiMg4rh7K7HAtcDJzcF6ZNMRgSiW8rsKvq07SNS0RV1wPf8KHc94g+ftBg\nSDt8E6yIlAOXAWPc5arqJX6dw2BId3wTLNZYv3eB17H68wwGg8/4Kdh+qvpLH8szGAwR+Bl0mmeC\nQQZDz+KnYK/BEm2jPbFznYjUxj3KYDB4xs8ocVH8vQwGQ3fwcxI2EZH/EJEb7fcjRSTRs9YZDCmF\nny7xX4Cjge/a7/diTTRlMBh8ws8o8ZGqeqiIfAKgqrvt6UQNBoNP+GlhW+z1dax5HK1EiqCP5RsM\naY+fgr0La3b4QSJyG/Ae8FsfyzcY0h4/o8SPi8gSrNXEBGsal9V+lW8wGPyZ5rTM9baa8KUTylQ1\ncgk+g8HQRfywsEuw2q0CjAJ2269LgU3AWB/OYTAY8KENq6pjVXUc1ljYc1R1oKoOAM4Guj07RLSl\n6A2GdMXPoNPhqhpapU5VXwFO8KHch4EzfCjHYEh6/BTsDhG5QUTGiMhoEbkea3WxbqHRl6I3GNIS\nPwV7EVCO1bXznP36Ih/L7xB7xffFIrJ4+/bt8Q8wGJIQP7t1dmGN2EkIqnofcB9Y05wmqh4GQ0/i\np4U1GAw9jBGswZBE9HnBisgTwIfAJBGpEJFLE10ngyFR+JHp9GeirFrnoKo/6U75qtprgSuDoa/j\nR9DJLGJjMPQS3Rasqj7iR0UMBkN8/J5I/JfAFCDP2a6qJ/t1DoMh3fEz6PQ4sBor2f9mYCOwyMfy\nDYa0x0/BDlDVB4AWVX3bXqLjKB/LNxjSHj/ndGqx/28RkbOAKmCEj+UbDGmPn4L9jYiUAD8H/gwU\nAz/zsXyDIe3xRbD25GsTVHUeUAOc5Ee5BoMhHF/asKoaAM71oyyDwRAbP13iD0TkbuBJYJ+zUVWX\n+ngOgyGt8VOwx9j/b3FtU8D0wxoMPuGnYC9V1fXuDSIyzsfyDQZfmftJJXPmr6FqTwPDSvOZdfok\nZk4bnuhqdYif/bDPRNn2tI/lGwy+MfeTSmb/awWVexpQoHJPA7P/tYK5n1Qmumod4sdoncnAVKBE\nRC5wfVSMK0XRYOhLzJm/hoaWQNi2hpYAc+av6dNW1g+XeBLWlKalwDmu7XXAZT6Uj4icAdwJZAJ/\nU9Xf+VGuIX2p2tPQqe19BT9G6zwPPC8iR6vqhz7UKQy7j/ce4FSgAlgkIi+o6md+n8uQPgwrzacy\nijiHleYnoDbe8bMNe4WIlDpvRKS/iDzoQ7lHAOtUdb2qNgP/BM7zoVxDmjH3k0qO/d2bjL3uJeqb\nW8nOkLDP87MzmXX6pATVzht+RokPUtU9zht7fdhpPpQ7HNjsel8BHBm5k4hcDlwOMGrUKAialS7T\nkbmfVDLntbVU7WlkWGkes06dyMxpw60g09yVNLRY98Xu+hayM4XS/CxqGlrb9j14aJ++d/wUbIaI\n9FfV3RBaJMuP8iXKtnZT0oRNc3rYdCVoZjrta8xdVmWJqaaRYSW2QA4Z5mv5s59vE2XlnkZmz10J\nCnNeWxva7tASUApyslh2/Yy2jX38vvFTsP+Dle30DJagvg3c5kO5FcBI1/sRWCOBOkD79FMyHZn7\naRWzX/isTUw1jcx+fiVokJkH+yPaaKJsaAky57W1VNY0Rj2msqaRuZ9U+FaHnsbPicQfFZHFWJlN\nAlzgU2BoETBBRMYClcCFwHc7rgwQMILtS8x5fV10Mb2+jpkHDPHlHFUxRFlV04gQe6bAWXNXgSoz\nDxzqSz16Ej8tLEAZsE9VHxKRchEZq6obulOgqraKyI+xVsfLBB5U1VVxjgI1gu1LdCQmv36rYSW5\nVNY0ed7u0BJQ5ryxjpkHDPalHj2Jn3M63QRMx+qXfQjIBv4OHNvdsu1V8V6Ou6ObPt4WSTc6ElNn\nfqu5K7cyZ8F6qmqaGFaSy6yTxoUs9KyTxjH7pTVhljw/O4NZJ43jp3NXd1huVU1TUtwzflrY84Fp\nwFIAVa0SkSIfy/eOcYn7HLNOGMvsl9fS0OoSU1YGs04Y6/m3mrtqW1gZlTVNzJ63BoLKzKmDmbn/\nIAgqc97aQFVtE8OKc5l14lhm7j+Im+d/we6G1phlDyvOTYp7xk/BNquqiogCiEiBj2V3Hu37T8t0\nYuaUQaDKnLc3tonphDGh7V6Y89aGMMEDNLQGmfPWBqsc+zzO6xCq3DRjP34+bw2BKKfKzhRmnTAm\nKe4ZPwX7lIjcC5SKyGXAJcD9PpbvHTVR4r7IzP3Lmbl/efhGj7/T3M+qqayN3g6tqm2KW87M/ctB\nlZvfWB9mafvnZ3HTKeOsz5PgnvEzSnyHiJwK1AITgV+p6mt+ld9pksC9MXhj7urtzH71y5ifDyvy\n5s7OnDSQmZMGRv8wSe4Xv6PEK4B8rFbkCp/L7gSaFO6NwRtz3v2qnSvskJ+VwazjRqbN7+1nlPhH\nwK+AN7H6Yf8sIreoqh/5xJ1DSQr3xuCNqrrmmJ/dPmMsMycNSJvf208LOwuYpqo7AURkAPAB0PuC\nhaRxcQzxGVaUQ2UU0Q4vymHmhLK0+q39FGwF1hhYhzrCk/Z7DzUucSox66jhzF7wVfsuoaOGp93v\n7KdgK4GPROR5LKf0POBjEbkWQFX/6OO54pMmLlI6MHNCf9AgcxZWUbW3hWGF2cw6api1Pc1+Zz8F\n+6X95/C8/b/3kydM4kTKMXO//szcr3/4xjT8jf3s1rnZeS0iGUChqtb6VX4na5N2T15DeuBnlPgf\nwBVAAFiCNSnbH1V1jl/n6BRp1rYxpAd+usRTVLVWRL6Hlaj/Syzh9r5gjUtsSFH8FGy2iGQDM4G7\nVbXFySvufTQpRl4YDJ3FT8Hei7Xq+qfAOyIyGitNscuIyLeAXwP7A0eo6mLPB2sg/j4GQ5LhZ9Dp\nLuAu572IbKL7y06uBC7Aehh0ojJYLWmDIcXwO5c4hKoqEHsAorcyVgOIRJuHrcMjIWgUa0g9ekyw\nvU3YNKdDhhIMGMEaUg+/VmDPAI5S1Q+6cOzrQLRZuK63VxXwhHua08P2n6rB1m4Zd4OhT+KLYFU1\nKCL/AxzdhWNnxN+rs4UGaW2OPemWwZCs+OkSvyoi3wD+ZbdfE4YqBIyFNaQgfgr2WqAACIhIA9aY\nWFXV4q4WKCLnA38GyoGXRGSZqp4e7zjVIIHm2GMoDYZkxc9uHd+T/FX1OeC5LhxIoKXF7+oYDAnH\nz1xiAb4HjFXVW0VkJDBUVT/26xxeUVWCrUawhtTDT5f4L0AQa6mOW4G9WOu6Hu7jOTyhqrS2GJfY\nkHr4KdgjVfVQEfkEQstN5vhYvneMS2xIUfwUbIu9WrozkXg5lsXtdVSVYBoK9tU9WdxbnUd1qzAo\nS/mvQY2cVmqi5amEn4K9CytANEhEbgO+CdzgY/meUVVamtKrH/b1ulzu2J5Pk1ppnNtahd9vySfQ\nWseMovS6FqmMn1Hix0VkCXAKVpfOTCcXuNdRJRhIL8ty/87+IbE6NKlw/85+nNxvX4JqZfAbP6PE\ntwDvAg+ramLvEFXSLTVxeyAz5vZ0uxapjJ8u8UbgIuAuEanDEu87nckH9gvVIK1N0dcjTVXKM1qp\nDmZH3Z5u1yKV8dMlfhB4UESGAN8G/g/W6JlenzUxHVMTL86r5u76oTSREdqWS5CL86rT7lqkMn66\nxH8DpgDbsKzrN7HXiu110rBb5/iMnWhugMeah7BDsxkoLVycs5XjM/YQSK9LkdL46RIPADKBPcAu\nYIeqJuTRnq65xMdRzXHZ1W0bFALpdxlSGj9d4vMBRGR/4HRggYhkquoIv87RicoQNGbFkIL46RKf\nDXwNOB7oj7WK3bt+ld8ZVJXWZiNYQ+rhp0v8deAd4E5VrfKx3E6jqgRMLrEhBfHTJb5KRAYDh4vI\nocDHqlod77iOEJE5wDlAM9a6PT9U1T0eKmNG6xhSEj9d4m8BdwBv0bag8yxVfaYbxb4GzFbVVhH5\nPTAba0WBDlFVWpuMhTWkHn66xDcAhztW1U7+fx3osmBV9VXX24VYXUVejiNgLKwhBfFTsBkRLvBO\ncPXid59LgCdjfeie5nRQQQEBs3qdIQXxU7D/FpH5wBP2++9gLYrVIV6mORWR67EmJX88VjnuaU7H\nDxigjUawhhTEz6DTLBG5ADgOqw17nz0nU7zjOpzmVER+AJwNnOJ1NkYFWs1yk4YUxO+Z/z/AWtUm\nCCzqbmEicgZWkOkEVa33epwCzcbCGlIQP6PEPwJ+hZUw4USJb7EHBXSVu4Fc4DV7fZ2FqnpFvINU\nlWZjYQ0piJ8WdhYwTVV3AojIACyL22XBqur4Lh2HcYkNqYmfgq0A6lzv64DNPpbvmSBggk6GVMRP\nwVYCH4nI81hG7jzgYxG5FkBV/+jjueJiLKwhFfFTsF/afw7OTBMJGMCutBjBGlIQP7t1bvarrO4S\nxESJDalJyizo7EbBWFhDSpKSgkXVtGENKUlKCtZEiQ2pip+JExOBvwKDVfUAETkIOFdVf+PXObxi\n+mENqYqfFvZ+rOSJewFUdbmI/ANIiGBNppMhFfFTsP1U9WM7hdAhQbMmKi3GJTakIH4KdoeI7Efb\n6nXfBLb4WL5nTJTYkKr4KdirsMajThaRSmAD1orsvY4CTcbCGlIQPxMn1gMzRKQAa/aJunjH9BQm\n08mQqvgZJR4A3IQ1gF1F5D3gFmf0Tm9iosSGVMVPl/ifWPMSf8N+/z2sOZg6nFGiI0TkVqxBBEGg\nGvhPL3Mem35YQ6rip2DLVPVW1/vfiMjMbpY5R1VvBBCRn2ANkI8/gB1jYQ2piZ+CXSAiFwJP2e+/\nCbzUnQJVtdb1tgA7Au3hOCNYQ0oiHuc1i1+QtYhzAZZHCtYUp85K7KqqxV0s9zbg+0ANcJKqbo+x\nX2iaU2ASsKYr5+shBgI7El2JBJLu3x86vgajVbXcSyG+CbareJnm1N5vNpCnqjf1WuV8QkQWq+r0\nRNcjUaT79wf/roGvyf8ici7W6nUAb6nqvHjHxJvm1MU/sFzspBOsweAXvs3MLyK/A64BPrP/rrG3\ndafMCa635wKfd6c8gyHZ8dPCngkcoqpBABF5BPgEuK4bZf5ORCZhtYu/wkOEuI9yX6IrkGDS/fuD\nT9fAz6DTcuBEVd1lvy/DcosP8uUEBoPBVwt7O/CJiCzAmkj8eKzlIQ0Gg0/4GiUWkaHA4ViC/UhV\nt/pWuMFg6L5g7dXWY6KqS7t1AoPBEMIPwS7o4GNV1ZO7dYIUxx7d9A5wk5dusFTDTl89CxgE3BOx\niHfKYv/ufwGasWI9MZdSDUNVzV8X/rDWDKoGVkZsPwMry2odcJ2Hcm7BWqHv7ER/p0RdA/uY/sAD\nif5OvXU9gIuBc+zXT3o9R7f7YUXkcBEZ4nr/fRF5XkTusiPFqcrDWD9ECBHJBO4Bvg5MAS4SkSki\ncqCIzIv4GyQiM7D6rLf1duV94mG6eQ1ch95gH5fMPIzH6wGMoG3tqYDXE/gRJb4XewidiBwP/A64\nGjgEq+/pmz6co8+hqu+IyJiIzUcA69QazI+I/BM4T1Vvx1qUOgwROQkr/3oK0CAiL6vdj50M+HQN\nBOueeUWTPN7RmeuBtXjcCGAZnUhg8kOwmWr3vQLfwVp5/VngWRFZ5kP5ycRwwlfsqwCOjLWzql4P\nICL/CexIJrF2QKeuAdbDfQZQIiLjVfV/e7JyCSDW9bgLuFtEzgJe9FqYL4IVkSxVbQVOoW3EjF/l\nJxMSZVvcqJ6qPux/VRJGp66Bqt6FdfOmKlGvh6ruA37Y2cL8ENQTwNsisgNoAN4FEJHxWEPi0okK\nYKTr/Qgg7gwZKYa5BuH4ej26LVhVvU1E3gCGAq+qHfbC8suv7m75ScYiYIKIjMVaL/dC4LuJrVKv\nY65BOP5ej0SHwpP1D8uz2AK0YD1FL7W3nwmsxVor9/pE19Ncg9S6HgkfwG4wGLzj23hYg8HQ8xjB\nGgxJhBGswZBEGMEaDEmEEazBkEQYwRoMSYQRbB9ARFREHnO9zxKR7SKSkPGxIvKwvb5vT5S9tyfK\nTReMYPsG+4ADRCTffn8qVlaMwRCGEWzf4RWsmRcALsLKmgGs2QlE5EERWSQin4jIefb2MSLyrogs\ntf+OsbefKCJvicgzIvK5iDxuD2MLQ0Qus8v8VESeFZF+ro9n2GWvFZGz7f3/U0Tudh0/T0ROtF/v\nFZHb7LIWishge/tYEfnQPs+trmMLReQNu94rIr7TahG5X0RWicirzoNMRMaLyOv2OZaKyH729ll2\n+ctF5OZu/xJ9mUSnc5k/BdgLHAQ8A+RhjZE8EZhnf/5b4D/s16VYaW4FQD+s5UsAJgCL7dcnYg28\nGIH1UP4QOC7KeQe4Xv8GuNp+/TDwb/vYCVhpdnnAfwJ3u46ZhzW1LVgjcpwZFP4A3GC/fgH4vv36\nKmCv/ToLKLZfD8SajUGAMUAr1hzXYC2u5nz3j4Dz7dd59vc/DWvctdj1nQccn+jftKf+jIXtI6jq\ncqyb9SLg5YiPTwOus8cXv4V1s44CsoH7RWQF8DTWQHiHj1W1Qq0xtsvssiM5wLaiK7DW853q+uwp\nVQ2q6hfAemBynK/QjCUWgCWu8x1Lm7fwmGt/AX4r1nzWr2ONGx1sf7ZBVZ2x1EuAMSJSBAxX1ecA\nVLVRVevta3Ma1qT1S+16uleMSCnSbbxqX+cF4A4sCznAtV2Ab6hq2Ip8IvJrrOllDsayLo2uj5tc\nrwNE/60fBmaq6qf2IPoTXZ9FJpkrluVzP+TzXK9b1DZ9Uc4XLWH9e0A5cJiqtojIRld5kXXPJ/q4\nUuztt6vqvTE+TymMhe1bPAjcoqorIrbPB6522qEiMs3eXgJssa3oxUBmJ89XBGwRkWwsAbn5lohk\n2O3EcViTiG0EDrG3j8Sa/iQe72MNKSPiHCVAtS3Wk4DRHRWi1lrBFWIvEi4iuXabez5wiYgU2tuH\nR8wVlVIYwfYhbBf2zigf3Yrl/i4XkZX2e7CmyfyBiCwEJtK2Hq9XbsRqF75G+4XG1gBvYwXDrlDV\nRizxbQBWYHkCXuZguga4SkQWYYnU4XFguogsxhKyl4XOLgZ+YrvRHwBD1JoW9R/Ah7Zr/wzWgygl\nMcPrDIYkwlhYgyGJMII1GJIII1iDIYkwgjUYkggjWIMhiTCCNRiSCCNYgyGJMII1GJKI/w8hU74j\nB6wKcQAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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fTNI/JWmdpAeS28llLOPTklYn5ViZpM2QdIukx5K/+5ShXIcUfD4PSNol6UPl/OwkXSFp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\ngauT7TcTFsUaVjH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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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KfAXwFHCLmW0OlW67mOFdE10xClklfgs4B7hOUg1R8D7Zlv7AoZhlqN/W9Iza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\nIh6wzqWIB6xzKfL/AZuWOr3Ag+MvAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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S8RJ/x3FAHeck3a2qT/ZssXoOG5poSWUSiiV2PMIp6WRqjQ1NtKQyicQSXygi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\nVHWriBT6mH/iWJM4ZZk9tZT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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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R2OdFpAaYDswFVgOPZFOozpJJppOqYvr/DflK2ldXVW9W1R2q+gRW23Wcql6f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\nXiRcRIrtNvfLwPdEpMLePyRmvqiCwih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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FUX0573CnudC5fSqDu3Xg798ey30XjaZrhzQGd+sQOoeR0jXsvHZqV7Mmr4t2qSk8cPkY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\nNHtVKBGZABwDdBG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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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MGAn8WdJzZvaBzt5nlibV1NTVwzrXa4W8rRO8k7+Z3QXc1YU3kmpuDp0d5wou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\nRK5CYII=\n", "text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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y3/3dfMfP0zlCVfcTkSWqer2I/BrjgMpLWmOZRTr1NnJgEbdp9YC7jO7er5b0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\nnE3CRaTY6XPPAS4WkX7O8VFJ60YVFFZ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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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lM4xgSCuFbXVD5y/WcfvN9WQvsxbWSE3SSmFbpSFEyU6Q+oZkS2IY7aJnKaxh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\nUKiGqK+Jv++nYaQyQZrEdwF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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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GJJKkCthouiaW9isNWE3IGCDJAjYaNT2HNSaRpGDA1vwc1phEkXIBq6qIHO5AYEyQpFzA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\nRD4u/SETkT4i8qm/j7ki0tt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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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gKGS/H1ASJV0AEJFUHGN9QlWfA1DVXarqU1U/8DBOVT4qqGqJ+70beN7VZVeg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\nMIBdqTaDNRIQL7t17vRKVlv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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 300x500 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if False:\n", " for ma in ['0.01', '0.0316', '0.1', '0.178', '0.562', '1', '3.16', '5.62', '10', '31.6','100']:\n", " S = 50\n", "\n", " #ma = '5.62'\n", "\n", " sigmas = np.arange(0,0.22,0.03) # mean interaction strength 0.03\n", " omegas = np.append([0.01, 0.05,0.1], np.arange(0.2,1.1,0.2)) # noise 0.2\n", "\n", " means = np.zeros((len(sigmas), len(omegas)))\n", " stds = np.zeros((len(sigmas), len(omegas)))\n", " KL = np.zeros((len(sigmas), len(omegas)))\n", " NCT = np.zeros((len(sigmas), len(omegas)))\n", " mean_color = np.zeros((len(sigmas), len(omegas)))\n", " std_color = np.zeros((len(sigmas), len(omegas)))\n", "\n", " for i, sigma in enumerate(sigmas):\n", " print(sigma)\n", " for j, omega in enumerate(omegas):\n", " print(omega)\n", " params = {}\n", "\n", " steadystate = np.repeat(float(ma), S).reshape([S,1]) \n", " #experimental_abundance[:S].reshape([S,1]) # np.random.uniform(0,300,[S,1]) #experimental_abundance[:S].reshape([S,1]) # 10**np.random.uniform(0,3,[S,1])\n", " #steadystate = abs(steadystate)\n", "\n", " params['initial_condition'] = steadystate * np.random.normal(1,0.1, steadystate.shape)\n", "\n", " # interaction\n", " if sigma == 0:\n", " intmat = np.zeros([S,S])\n", " else:\n", " intmat = np.random.normal(0, sigma, [S,S])\n", " np.fill_diagonal(intmat, -1.2)\n", " params['interaction_matrix'] = intmat\n", "\n", " # no immigration\n", " params['immigration_rate'] = np.zeros([S, 1])\n", "\n", " # growthrates determined by the steady state\n", " params['growthrate'] = - intmat.dot(steadystate).reshape([S,1])\n", "\n", " params['noise'] = omega\n", "\n", " ts = Timeseries(params, model = MODEL.GLV,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt=0.01, T=100, tskip = 49).timeseries\n", "\n", " if ts.isnull().values.sum().sum() == 0 and np.all(ts.drop('time', axis=1).sum(axis=1) > 0): # no NAN values and not all species die\n", " means[i,j] = np.mean(ts.values)\n", " stds[i,j] = np.std(ts.values)\n", "\n", " KL[i,j] = KullbackLeibler(ts)\n", " norm_ts = ts.values[:, 1:]\n", " norm_ts /= norm_ts.sum(axis=1, keepdims=True)\n", " NCT[i,j] = neutral_covariance_test(norm_ts, ntests=500, method = 'Kolmogorov', seed=56)\n", "\n", " ns = noise_slope(ts)['slope_linear'].values\n", "\n", " mean_color[i,j] = np.mean(ns)\n", " std_color[i,j] = np.std(ns)\n", "\n", " if np.isnan(mean_color[i,j]) == True:\n", " plot_timeseries_comparison([ts], composition=['ts', 'nc'])\n", "\n", " means = pd.DataFrame(means, index=sigmas, columns=omegas)\n", " stds = pd.DataFrame(stds, index=sigmas, columns=omegas)\n", " KL = pd.DataFrame(KL, index=sigmas, columns=omegas)\n", " NCT = pd.DataFrame(NCT, index=sigmas, columns=omegas)\n", " mean_color = pd.DataFrame(mean_color, index=sigmas, columns=omegas)\n", " std_color = pd.DataFrame(std_color, index=sigmas, columns=omegas)\n", " \n", " folder = 'results/Langevinselfint1.2/'\n", " \n", " means.to_csv(folder + 'means_%s.csv' % ma)\n", " stds.to_csv(folder + 'stds_%s.csv' % ma)\n", " KL.to_csv(folder + 'KL_%s.csv' % ma)\n", " NCT.to_csv(folder + 'NCT_%s.csv' % ma)\n", " mean_color.to_csv(folder + 'noisecolor_mean_%s.csv' % ma)\n", " std_color.to_csv(folder + 'noisecolor_std_%s.csv' % ma)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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RQxQtSe1s0YzEnegbNgxuaG+LxiT2RF9QMSapna1f1JYkSRoATgdeBuwOHC5p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\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PlotOverview('%s_unif-300.csv')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Results for dt = 0.01, tskip = 49 and T = 500 -> sampling 0.5, NCT 500" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 0.01.\n" ] }, { "data": { "image/png": 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Ggc/YvrixE0ZE6xnYSL3udhER8yLBaOPVg12Az5Uj+44AX7b9zaZPOl+pJEV0quEmettr\ngDWNniQiBoaBzS3pGhQRi8jI7M/g1mX7QuDhjZ6kC1JJiuiEabQlKSJiqgmbDakkRUQvqfnudoMi\nlaSIjrjpZ5IiIu7GiA0enkGCImIASLAklSRIJSmiMwYmckc3InpnAtjgZru9RETcXU+eSRoI+RQi\nOpXudhHRQxOIDc6f6YjooXS3+71Gs6+kVcCHKUbr+pTtY6Zs3xP4DLAzcCPwcttrZyvTnmDzhjtq\nxlW/+8IwzZM0tnHD3DvNYcnyFa2IozFudnS76J4m8s6dXsrFm+5VK67bJurPx9MW464/38nKkU31\n4+jCfE3j/LZ2GU0puts1f7Ey13emst8LgZOAR9s+t/HABkwTuQfE6JJ6rYltmZ9omHRjrqXa/y+N\n/bemJWlSY59COazfx4CnUUyUeY6kU2xfUtntA8Dxtj8n6cnAe4A/biqmiFpSSWq95J0YJhNuvpLU\n4XcGSVsDrwfObjSgAZXcE0MjLUm/12RV8UDgcttXAEg6ATgUqCaM/YC/Ll9/D/jPBuOJWDhn4IYB\nkbwTQ8OIDRONX6x08p0BeBfwPuCopgMaUMk9MRxSSfq9JvuM7QZcXXm/tlxXdQHwgvL184CtJe3Y\nYEwRCzfhekv0QvJODI3imaRltZYOzPmdkfRwYI82TvbYIsk9MRQEjIyO1lqGRZMtSdP1lpx6pXgU\n8FFJhwM/AK4Bxu5RkHQEcATArttu190oIzqV7naDoJG8s/OuuasWvTfhrrQk7SSp+vzQaturK+9n\n/c6oeIj3Q8DhdQMZco3kHm2ZOlT0mMTI6PA8d19Hk5WktcAelfe7A9dWd7B9LfB8AElbAS+wfcvU\ngsqEvhpg/912zy356L0M3DAoGsk7Dzhgy+Sd6LkuDdywzvajZtk+13dma2B/4IzyQfP7AKdIOiSD\nN9xNI7lndIe9k3uit0QqSaUmK0nnAPtI2pvibslhwEurO0jaCbjR9gRwNMWoLxHtlErSIEjeiaEx\ngdjY/DNJs35nyov4nSbfSzoDOCoVpHtI7omhIMToEHWZq6OxSpLtMUlHAqdSDIf5GdsXS3oncK7t\nU4AnAu+RZIqm59c2FU9ELWlJGgjJOzFM3IN5kjr8zsQckntiaKQl6fcazb621wBrpqx7a+X1ycDJ\n8ypzYoLNG+rNpzPSkjmO2jLX0uYuzE/kLlQgNm/cWLuMRo2n18MgaCLv3D6xnLPWP6BWXHdMdPQQ\n/azGJtpxd2+z6+euHZfeXruMW8fqzz31u5Xb1C6j6GnVfRPuSUvSnN+ZKeuf2HhAA6qJ3COJJUuH\nY86atszX1I05jrpRRt1r0aY+T5FnkiYNxzcvomkmLUkR0VM9GgI8IuIuovHudpL2AI6neMZxgmJA\nmQ83etIFSCUpoiPpbhcRvVW0JOXPdET0jnozut0Y8Le2f1JOVH2epNOmTmLdb8m+EZ1KJSkiesik\nkhQRvdd0Jcn2dcB15evbJF1KMa9YKkkRAyfd7SKix4zYlEpSRPSQ1NvR7STtBTwcOLtnJ+1Qsm9E\nR5yBGyKipyYsNo7nz3RE9FYXWpLmmsQa+P18YV8B3mD71ron7bZk34hOpCUpInrMkJakiOipoiWp\ndiVprkmskbSUooL0BdtfrXvCJiT7RnQqlaSI6CFbbGrJsO8RsUgIRkebHa5dxfjlnwYutf3BRk9W\nQypJEZ3o82Sykl4EvB14EHBgZruPGH4TiE3jqSRFRO8IWLKk8dHt/h/wx8DPJJ1frvuHcq6x1hi8\nSpLNWM1JR7sxiatG2jEpWjeMb95cuwxP1H9eZ2J8rHYZjepvS9JFwPOBY/sZxGJ1+9gyfnLTHrXK\n2DBWf76bCdfPO5sn6uc/dyGOHba4o3YZv12/Ve0ybt6x/oS08L0ulHFPNmlJWuQymWz3tWUy2bqf\nh2hoMtnudLeble0fQkM/QBc1+s2TtAr4MDAKfMr2MVO2fwh4Uvl2S+BetrdrMqaIBetCRXChbF8K\n7fkj02bJOzEsjNiclqSBkdwTQ6EH3e0GRWOVJEmjwMeApwFrgXMknVKdKMr2X1f2fx3FEIAR7WPD\neJ5JarvknRgmNmxOS9JASO6JYSFovCVpUDTZknQgcLntKwAknQAcyswTRb0EeFuD8UTUU795fdYh\nMSWdDtxnmuPebPvrdU++SCTvxBAR413oHhk9kdwTw0EwMkSPlNTRZCVpN+Dqyvu1wGOm21HSnsDe\nwHcbjCdi4WwYH69byqxDYtp+at0TRPJODI+iJSmVpAGR3BNDQSjd7UpNVpKm+4RnuhV/GHCy7Wmv\nQiUdARwBsMvW23Qnuoh5sM1YFwa4iMY1kndW3Hvr7kQXMQ9GjI2nkjQgGsk9Iyt36k50ER2S0t1u\nUseVJElbAPe1fVmHh6wFqsNB7Q5cO8O+hwGvnamgskvSaoAH32eX/j09H4uXzfjmTX07vaTnAf8G\n7Ax8S9L5tp/Rt4B6aJ65p5G8s82+907eiZ6zYSwDN/RFW655lu50/+Se6LlUkgodfQqSngOcD3yn\nfP8wSafMcdg5wD6S9pa0jCIp3OMYSfsC2wNnzifwiF6yzfimTbWWmuf/mu3dbS+3fe9FVEGab+5J\n3omhYcT4+EitpROSVkm6TNLlkt40zfbXSPqZpPMl/VDSfl3/YVsk1zyxmBVDgNdbhkWnLUlvp3go\n8QwA2+dL2mu2A2yPSToSOJViOMzP2L5Y0juBc21PJo+XACe4G4PORzSlzy1Ji9jbmUfuSd6JoWKY\nmGj2gqOTUdmAL9r+RLn/IcAHgVWNBtZfbyfXPLFISbAkLUlA55WkMdu3zHeOlnLm3DVT1r11yvu3\nz7PMVlysdmNC2raYGKs/ievESP0y2vyZFr93eSapD+ade5rIO2MTI1xfc+LSOzcuq3U8wPh4Fy6Y\nuzARbDcmk71jU/3JddffUn8i2F+MtPda1dBxa1ANc47KZvvWyv4rmflZm2HRmmueTCbbfUMzmWyD\nn+eSIWoNqqPTb95Fkl4KjEraB3g98KPmwopoF9uM1ewyFwuS3BOLl8H1K8azTj1Ah6OySXot8DfA\nMuDJdYNqueSdWLQksaTFN617qdNK0uuANwMbgS9RNCe/q6mgItrGnmhFC+YilNwTi5fFRP2WpFmn\nHqDDUdlsfwz4WFl5eAvwyrqBtVjyTixaIi1JkzqqJNm+gyJhvLnsv7zS9oZGI4tok3S364vknlj0\nGn4mifmNygZwAvDxRiPqs+SdWMzyTNJdOh3d7ouStpG0ErgYuEzS3zUbWkR7eKK/o9stVsk9saiV\n3e3qLB2Yc1S2ssvZpGcDv+zaz9hCyTuxmAlYMqJay7DotKq4X/ng5nMpHkq8L/DHjUUV0TblgCF1\nlliQ5J5Y1DSuWstcbI8Bk6OyXQp8eXJUtnIkO4AjJV0s6XyK55KGuasdJO/EYiYxOjpSa5n7FPqM\npOslXdSDn2jBOn0maamkpRQJ46O2N0sa9tFtIn7PNmOp6PRDck8sXhZ0Y0TDuU4zx6hstv+q8SDa\nJXknFq3JlqSGHQd8FDi+6RPV0Wkl6VjgSuAC4AeS9gRunfWIiCFSTCabZ5L6ILknFi/Tk0pS3EPy\nTixavXgmyfYP5pp7rA06HbjhI8BHKquukvSkZkKKaKGMbtcXyT2x2Gmi3xEsPsk7sZhJyuh2pVkr\nSZJebvvzkv5mhl0+OMfxq4APU8w+/Snbx0zZfjjwfuCactVHbX9qtjI9McHYxnqDzLR50tJ+6MZk\nst34TEeX1p9ssyltmcR4saiTe5rIOxMTI9yxod7v59jm+hNCTnRlMtn6RUw7aPQ83XH7itpl+M76\nn+nvrtu2dhmNMR09VxTd0cZrHkQrJpNty0Sw3TAsk8l2Iw/PVGwX5kmaa362gTDXN29l+e/W8y24\nHDbzY8DTKIYYPUfSKbYvmbLribaPnG/5Eb1UdLdLJamHFpR7kndi2Gi83xEsKrnmiUVPgqX1W5Lm\nmp9tIMxaSbJ9bPnvOxZQ9oHA5bavAJB0AnAoMDVhRLSfzVjmSeqZGrkneSeGhtKS1FO55okoWpK6\nUEkaCp3Ok7S7pK+Vw/X9VtJXJO0+x2G7AVdX3q8t1031AkkXSjpZ0h7TbI/oO2cI8L5YQO5J3omh\novF6S8xfrnliMZPE0pF6Swfn+BJwJrCvpLWSXt34D7YAnXY6/CzF5HK7Unzpv1Gum810n9LUTpzf\nAPay/RDgdOBz0xYkHSHpXEnn3rzhzg5Djuieye52mUy25+abexrJO+O33j7vwCNqcypJfdKaa56J\nOzOoXvTWZEtSnWUutl9iexfbS23vbvvTzf9k89dpJWln25+1PVYuxwE7z3HMWqB6l2R34NrqDrZv\nsL2xfPtJ4JHTFWR7te1H2X7Udiu26DDkiC4qR7dLS1LPzTf3NJJ3RrdZOd0uEY3TRL0lFqQ11zwj\nW2yzsJ8gYqFUzJNUZxkWnQ6Zsk7Sy4Evle9fAtwwxzHnAPtI2ptiJJfDgJdWd5C0i+3ryreHUMz2\nHdE6RXe7PJPUB/PNPck7MTyc1qA+yTVPLFp5JukunVaS/oRiZtwPUTQf/6hcNyPbY5KOBE6lGA7z\nM7YvlvRO4FzbpwCvl3QIMAbcCBy+oJ8iomGeMGPpMtcP88o9yTsxTGQYSSWpH3LNE4tWl0a3Gwqd\nTib7G4q7HvNiew2wZsq6t1ZeHw0cPc8yGduUO/rdZNfvkyHVnyfJEy3uG5J5kvpiIbmnkbyzcYTx\nK7aazyH30I3Z2Ua6MMdRW7pguQt/g5duql/IyMa59+mntCT1XpuueSTVnidpiKY46oqJiRbMcdQF\nTcUgOht8YTGYazLZt86y2bbf1eV4Ilop8yT1VnJPBOlu12PJOxFpSaqa6/bEdEM6rQReDewIJGHE\nImEmxvt3tSLp/cBzgE3Ar4BX2b65bwE1L7kngva0/C0SyTux6AkYTUsSMPdksv8y+VrS1sBfAa8C\nTgD+ZabjIoaN+9/d7jTg6LLf+3spumz8fT8DalJyT0Q5mWwqST2TvBNRtCQN0wh1dczZ0VXSDsDf\nAC+jGNP/EbZvajqwiDbp98ANtv+r8vYs4IX9iqVXknsietPdTtIq4MMUAw58yvYxU7b/DfCnFAMO\n/A74E9tXNR9Z7yXvxGInYEkLnrlqg7meSXo/8HxgNXCA7fU9iSqibcp5klriT4AT+x1Ek5J7IujJ\nM0mSRoGPAU+jmOvnHEmn2L6ksttPgUfZvkPSXwDvA17cbGS9l7wTUQzckJakwlwtSX8LbATeAry5\nMpKGKB5izCxnsSh0aZ6knSSdW3m/2vbqyTeSTgfuM81xb7b99XKfN1Pczf1C3WBaLrkngp4MAX4g\ncLntKwAknQAcCvy+kmT7e5X9zwJe3nhU/ZG8EyEYHenGeKyDb65nkvIpRVBMlLG5/sAN62w/asZz\n2E+d7WBJrwT+CHiK7S4MBt1eyT0R5TNJzVeSdgOurrxfCzxmlv1fDXy70Yj6JHknIt3tquoNvh+x\nSNhmUx/ncSqfGfh74GDbd/QtkIjoHYPGa98PmbUFm+KaaJoz35OklwOPAg6uG1REtJPIwA2TGq0k\ndfAw6GuA1wLjwHrgiCn9oO+p/6OMxTS6MRHs+Ob23sQzsKm/jTcfBZYDp5VdQM6y/Zp+BtRWTeSd\nJRtg+583FPA8dGMC1tbows/i0frfyaW3t7tRtgvd7WZtwaZoOdqj8n534NqpO0l6KvBmihs1LZ+C\ntz+ayD0SjGbOmq7qxp/ybnTmWLZstNbxTU4mu0TNX4/N9X1pg8YqSR0+DPpF258o9z8E+CCwqqmY\nIhZqAvrakmT7AX07+QBJ3omh0pvuducA+0jaG7gGOAx4aXUHSQ8HjgVW2b6+8YgGUHJPDA01P09S\nh9+XvmuyJamTh0Fvrey/khma+CP6rQUtSdGZ5J0YGgJG6ne3m1U599qRwKkUd3Q/Y/tiSe8EzrV9\nCvB+YCvgpPLu9W9sH9JoYIMnuSeGQo+62835fWmDJitJHT0MKum1FHMSLAOe3GA8EQvW72eSomPJ\nOzE8DBrrwWnsNcCaKeveWnk966AyAST3xJDoUXe7+Q4Y0xdNfgodPQxq+2O270/xUPpbpi1IOkLS\nuZLOvXnDhi6HGTG3yZakOkv0RCN5Z2zD7V0OM6IDLlqS6izRM43knvE7bp1ul4jGSEVLUp2FcsCY\nynLE1NNMc+rWJawmW5I6ehj/wfFBAAAgAElEQVS04gTg49NtKEfiWQ3wBzvu1LoPMYafgc1pSRoE\njeSdlTvtkbwTPSe7G6PbRW80kntW3Gef/AJEz43UHxSiKwPG9FuTlaROHgbdx/Yvy7fPBn5JRAs5\nrUGDInknhkoPJpON7kjuiaHRg7lk5/y+tEFjlaQOHwY9shxWdDNwE/DKpuKJqKPfo9tFZ5J3YqgY\nNJabM4MguSeGhQSjDU8mO9P3pdGTLkCj8yR18DDoXzV5/ohuyeh2gyN5J4ZGdyaTjR5J7onhIEZ6\nMJnsdN+Xtmm0ktQE20yM92C4n0VkZLT+r0FX/k9a3K0ko9stbktuH2OnM39Xr5Bu/NGZ6MIFcxfi\n8LIu/Onowp3Ksa2X14+jxTc/BIyMJe8sahKjo/X6PjXcKNBT3fi6jozUL2SiC7l4yZJ2/r+KrjyT\nNBQGrpIU0Q9pSYqInsvADRHRa+rJM0kDIZWkiA6YPJMUET1mUFqSIqKHRPPPJA2KVJIiOjBBWpIi\novc0nkpSRPRWL55JGgSpJEV0wHbmSYqInpKdlqSI6Kk8k3SXVJIiOpBnkiKi59LdLiJ6Lc8k/V4q\nSREdyDNJEdFzNoy3eNjPiBg6QnkmqZRKUkQHbKclKSJ6Li1JEdFreSapMHiVJJvxTZvqFZEWgZin\nCdKStJh540YmfnVlrTK0pH66dRce4tfSdqT9iTvuqF3GyMho/TK2WFG7jMbYMJaWpMVsRGKLLZbW\nKsNDdIOvGz/K5s31v1NdSOfceWe9+SW7MVfTtJRnkiY12utQ0ipJl0m6XNKbptn+BEk/kTQm6YVN\nxhJR15hda4neSN6JoWFgfKLeEj2T3BPDoBi4od4yLBqrJEkaBT4GPBPYD3iJpP2m7PYb4HDgi03F\nEdENk0OA11mieck7MVRsGBurt3QgF/f1JffEMBkZUa1lWDTZ7+JA4HLbVwBIOgE4FLhkcgfbV5bb\ncrsrWs12utsNhuSdGCLND9xQubh/GrAWOEfSKbYvqew2eXF/VKPBDLbknhgKUiaTndRkJWk34OrK\n+7XAYxZSkKQjgCMA7rXFlvUji5inDAE+MBrJOytI3ok+MB23BtWQi/vuaCT3LN32XvUji5inDAFe\naLKSNF01dEFXmbZXA6sB9t1+h1ypRs8Z+jqZrKR3UVy4TADXA4fbvrZvAbVXI3lnm5HknegDG29u\nvJLUtYv7Ra6R3LPlrvsm90RPCfV14AZJLwLeDjwIOND2uf2KpclK0lpgj8r73YFc1MVAasEQ4O+3\n/Y8Akl4PvBV4TT8DaqnknRgek88k1bOTpOpFxuryInxS1y7uF7nknhgOgtH+Pld0EfB84Nh+BgHN\nVpLOAfaRtDdwDXAY8NIGzxfRmH5PJmv71srbleQiZibJOzE8utOStM72o2bZnov77kjuiaFQjG7X\nv0qS7UsB1ILnohqrJNkek3QkcCowCnzG9sWS3gmca/sUSY8GvgZsDzxH0jtsP7ipmCIWanJ0u36S\n9E/AK4BbgCf1NZiWSt6JYWIbj21u+jS5uO+C5J4YJnkmqaBBm2RM0u+Aq+bYbSdgXQ/CaXsMsPji\n2NP2zt0uVNJ3KH6GOlYAGyrv79btRdLpwH2mOe7Ntr9e2e9oYIXtt9WMJzo0QHkHEsdUvYijzXln\nne1Vc5znWcC/ctfF/T/NcnG/Afi/XNz3Rge5ZzF9zzqxmOJoc96pfb0j6QzgqH4+kzRwlaROSDp3\nju4FiyKGxDGcJO0JfMv2/v2OJe7Slt/xxNHOOCKa0Jbf78TRzjgGWRsqSWlQixgAkvapvD0E+Hm/\nYomIiIgYdk0O3BAR3XOMpH0pHo+6ioxsFxEREUNG0vOAfwN2Br4l6Xzbz+hHLMPakrR67l0aN2dX\nKElvkNT0LJX/IekvK+fcVdLJDZ9zOm34PxlYtl9ge3/bD7H9HNvX9DumuIe+/45LWj9XHL3IO5K2\nAy6rvO9X3oEW/L9ENKjvv9/JO9Pq+//LoLL9Ndu7215u+979qiDBkD6T1AaS1tveao59rgQeZbvj\nh/skjdoen8f+ewHfzPMrEcMveSciei15J4bVsLYktYakJ0o6Q9LJkn4u6QsqvB7YFfiepO+V+z5d\n0pmSfiLpJElbleuvlPRWST8EXiTpzySdI+kCSV+ZvDsj6d6Svlauv0DSY4FjgPtLOl/S+yXtJemi\ncv8Vkj4r6WeSfirpSeX6wyV9VdJ3JP1S0vv68NFFxAIl70REryXvxNCxnaWBBVhf/vtEinltdqeo\nlJ4JPK7cdiWwU/l6J+AHwMry/d8Db63s98ZK2TtWXr8beF35+kTgDeXrUWBbYC/gosr+v38P/C3w\n2fL1HwC/oRi28XDgivL4FRTPwOzR7880S5Yssy/JO1myZOn1kryTZViXDNzQGz+2vRZA0vkUX9wf\nTtnnIGA/4H9VzDK8jCLBTDqx8np/Se8GtgO2opi8DuDJFJON4qKJ+hZJ288S1+MoHo7D9s8lXQU8\nsNz237ZvKWO+BNgTuLrDnzci+i95JyJ6LXknhkYqSb2xsfJ6nOk/dwGn2X7JDGXcXnl9HPBc2xdI\nOpzi7s1CaJZtncQcEe2VvBMRvZa8E0MjzyT1123A1uXrs4D/J+kBAJK2lPTAGY7bGrhO0lLgZZX1\n/w38RXn8qKRtppxjqh9MHl+e675URoaJiKGUvBMRvZa8EwMnlaT+Wg18W9L3bP+Oom/slyRdSJFE\n/mCG4/4ROBs4jbtPKvpXwJMk/Qw4D3iw7RsomrQvkvT+KeX8OzBa7n8icLjtjUTEMEveiYheS96J\ngZMhwCMiIiIiIirSkhQREREREVGRSlJERERERERFKkkREREREREVqSRFRERERERUpJIUERERERFR\nkUpSRERERERERSpJERERERERFakkRUREREREVKSSFBERERERUZFKUkREREREREUqSRERERERERWp\nJEVERERERFSkkhQREREREVGRSlJERERERERFKkkREdE1kt4u6fP9jiMimiHpSklP7cN53yPpDT0+\n548lPbiX54z2SCUpIiI6kgpQRPSDpJ2BVwDH9vjUHwDe2eNzRkukkhQRERERbXY4sMb2nT0+7ynA\nkyTt0uPzRgukktRnZbP130m6UNLtkj4t6d6Svi3pNkmnS9q+3PcgST+SdLOkCyQ9sVLOqyRdWh5z\nhaQ/r2x7oqS1kv5W0vWSrpP0qj78uBExICT9vaRrypxymaRnA/8AvFjSekkXlPvtLen75X6nATv1\nNfCI6BlJD5J0RnldcrGkQyrbHiHpp2VuOEnSiZLevcBTPRP4/pRzv6y8JjpR0v9JulrSM+v8PFPZ\n3gCcBzy9m+XGYEglqR1eADwNeCDwHODbFBcjO1H8H71e0m7At4B3AzsARwFfKZugAa4H/gjYBngV\n8CFJj6ic4z7AtsBuwKuBj01WviIiqiTtCxwJPNr21sAzgJ8D/wycaHsr2w8td/8ixUXETsC7gFf2\nIeSI6DFJS4FvAP8F3At4HfAFSftKWgZ8DTiO4prlS8DzapzuAOCyadY9HPgKsAfwYeATNc4xk0uB\nh865VwydVJLa4d9s/9b2NcD/AGfb/qntjRRJ5uHAyymamtfYnrB9GnAu8CwA29+y/SsXvk+RtB5f\nOcdm4J22N9teA6wH9u3djxgRA2QcWA7sJ2mp7Stt/2rqTpLuCzwa+EfbG23/gOKiKSKG30HAVsAx\ntjfZ/i7wTeAl5bYlwEfK646vAj+ePFDStuWgCOsl7V9Z/0+S/kfSyZK2rJxrO+C2Kec/APiQ7S/b\n3gwcD9xX0oqy5erLlXLPkaTy9Q6SPl+e5zxJbytbw35dtoadIemoynluK88fi0wqSe3w28rrO6d5\nvxWwJ/Ciskn7Zkk3A48DdgGQ9ExJZ0m6sdz2LO7e7eUG22OV93eU5UZE3I3ty4E3AG8Hrpd0gqRd\np9l1V+Am27dX1l3VgxAjov92Ba62PVFZdxVFj5VdgWtsu7Lt6srrO4BnAydPrigrS/e3/XjgdOBP\nKvvfBGw95fwHVI+naM1aX3aRux+wg6TRslVrcyWWLwInlOd5FPC/tp9IcXP5CNtPtP2BSrlbAzfP\n/lHEMEolaXBcDfyH7e0qy0rbx0haTtHc/AHg3ra3A9YA6mfAETG4bH/R9uMobtAYeG/5b9V1wPaS\nVlbW3bdHIUZEf10L7CGpei15X+Aaityw22TrTWmPyRdl69LvppT3eIrHDSj/fVxl24UUjyQAIGm7\nsrxqGS8Evj1ZKQLOpGjRehBlVz1JB1PcNP5mGYdtn14e/2Dgkml+zgcBF0z3AcRwSyVpcHweeI6k\nZ5R3RlaUAzLsDiyj6BrzO2CsfHAxDxlGxIKUzxQ8ubwBs4GiRXucopV7r8mLIttXUXT7fYekZZIe\nR/FcZUQMv7OB24E3SlpaDib1HOAEigrKOHCkpCWSDgUOnKO87YFbyte3UDzLNGkNcHDl/QFl+S8t\ny3828JcUrd+TlaJTgVXA/sBF5XFPAb46w/m3s31TdUWZAx8JnDZH7DGEUkkaELavBg6lGNDhdxQt\nS38HjNi+DXg98GWKJumXUgxbGRGxEMuBY4B1wP9RdGP5B+CkcvsNkn5Svn4p8BjgRuBtFM8FRMSQ\ns70JOIRi5Ll1wL8Dr7D983Lb8ykGirqZ4rnqbwIbZynyJooBpij/vbGy7XjgWZK2KN8fAHwB+MPy\nuHcAz7V9CXdVis4qt+8PXFwed2/ghqknLgfHunaamA4BzrA93bYYcrp7d9GIiIiIiO6SdDbwCduf\nraw7DviA7YskHQAcbfulko4Altv+t8q+/wxcb/tfJX0c+IXtD01znvcAP7D9bUknA7sDL7S9VtJr\ngD1tH13ue5DtsyQ9A1hl+6+nifnVti+aep4Yfkv6HUBEREREDJfy+Z/LKFqZXgY8BPhOZfsa4GHA\nvpKOtX2cpKsk/Q/FtCavqJZn+x8qbw8Avj7DqR9M0aoFRTe599leW77/NPDx8hyjwPkULU7TPo9k\n+zGd/8QxbNKSFBERERFdVbYGvYtiJN1fUbQSfatLZd8MPMz2ld0oL2I6qSRFRERERERUZOCGiIiI\niIiIilSSIiIiIiIiKlJJioiIiIiIqBioSpKkVZIuk3S5pDdNs325pBPL7WdL2quy7ehy/WXlUI/9\niuMhks6UdLGkn0la0WAcT5D0E0ljkl5YWf+wSgwXSnrxQmOoE0e57X1lHJdK+siU2bkjWqENuSd5\npztxlNuSd6L12pB3uhDHUOWe5J1FxvZALBRDNf4KuB+wDLgA2G/KPn9JMQY/wGHAieXr/cr9lwN7\nl+WM9iGOJcCFwEPL9zs2HMdeFENuHk8xR8Dk+gcC+5SvdwWuo5hputdxPBb437KMUYoZup/Y79+1\nLFmqSxtyT/JOV+NI3snS+qUNeacLcQxV7mlb3gGuBJ7ah9/N9wBv6PE5fww8uNc/6yC1JB0IXG77\nChczOZ8AHDpln0OBz5WvTwaeUtbUDwVOsL3R9q+By8vyeh3H04ELbV8AYPsG2+NNxWH7StsXAhNT\n1v/C9i/L19dSzEewc6/jAAysoEg2y4GlwG8XGEdEU9qQe5J3uhQHyTsxGNqQd+rGMWy5Z9HnHUk7\nU8xfdWyPT/0B4J09PudAVZJ2A66uvF9brpt2H9tjwC0Udy46ObYXcTwQsKRTy+bYNy4whk7jmJOk\nAym+tL/qdRy2zwS+R3FX5zrgVNuXLjCOiKa0Ifck73QpjuSdGBBtyDt14xi23JO8A4cDa2zf2ePz\nngI8SdIuvTzpIFWSpuu7OXWSp5n26eTYXsSxBHgcxczTjwOeJ+kpDcYxewHFL9t/AK+yPfWuR+Nx\nSHoA8CBgd4pE82RJT1hgHBFNaUPuSd7pUhzJOzEg2pB36sYxbLmntXlH0oMknSHp5vK5p0Mq2x4h\n6aeSbpN0Uvn82LsXeKpnAt+fcu6XSfpRWe7/Sbpa0jPr/DxT2d4AnEfROtkzg1RJWgvsUXm/O3Dt\nTPtIWgJsC9zY4bG9iuP7ttfZvgNYAzyiwThmJGkb4FvAW2yftcAY6sbxPOAs2+ttrwe+DRxUI5aI\nJrQh9yTvdC+O5J0YBG3IO92IY5hyTyvzjqSlwDeA/wLuBbwO+IKkfSUtA74GHAfsAHypjGWhDgAu\nm2bdw4GvUHw+HwY+UeMcM7kUeGgD5c5okCpJ5wD7SNq7/E8/jKL5reoU4JXl6xcC33XxxNcpwGHl\nCCx7A/tQPATW6zhOBR4iacsykRwMXNJgHNOqfGmOt33SAs9fOw7gN8DBkpaUX/KDKb4EEW3ShtyT\nvNOlOEjeicHQhrxTN45hyz1tzTsHAVsBx9jeZPu7wDeBl5TblgAfsb3Z9lep/C5I2lbSjyWtl7R/\nZf0/SfofSSdL2rJyru2A26ac/wDgQ7a/bHszxaAV95W0omy5+nKl3HPK59WQtIOkz5fnOU/S28rW\nsF+XrWFnSDqqcp7byvP3Tp1RH3q9AM8CfkHRl/TN5bp3AoeUr1cAJ1E8pPhj4H6VY99cHncZ8Mw+\nxvFy4GLgIuB9DcfxaIo7H7cDNwAXV2LYDJxfWR7WhzhGKR7+u5QicX6w379jWbJMt7Qh9yTvdC2O\n5J0sA7G0Ie90IY6hyj1tyjuUo9sBLwbOmbLtGOCTFBW5H0/Z9iXg3eXrpRSDWBwH7F+u259i4A+A\n1wBHVo69Hnj0lPJ+Azyi8n5/4Lby9XnA6eXPvwz4UWW/7wB/VL4W5Uh95ef0/6b5eT/Sjc9tPovK\nE0dERERExACQdCXwp8BGikrqri6ftZL0RYrK3PeALwK7e7I2Iv0QOMP2WyplHQd8wPZFkv4CuMP2\n5yTtCbzX9mHlfqcDn7X9hfL9dsBNwH1tX12uezvFMPQvB34AnEZRIVpPMXT4qyQdDBxh+2XT/Fw/\nBJ5j+6Yp608DPm/7c1OPacogdbeLiIiIiIi7nE3RcvVGSUslPRF4DsUQ5WcC48CRZVe/Q5l7OPjt\nKUYopPx3h8q2NRRdBScdUJb/0rL8Z1PMm/V2ioEqLqPodrmKooXpovK4pwBfneH8201TQVoOPJKi\nwtUzqSRFRERERAwgF3M2HUIx8tw64N+BV9j+ebnt+cCrgZspWne+SdH6NJObKAbfgLsG4Zh0PPAs\nSVuU7w8AvgD8YXncO4Dn2r6EuypFZ5Xb96foeglwb4ruiHcjaTemHwzjEIrWr4UOQLIgqSRFRERE\nRAwQ23vZPr18fbHtg21va3s/21+r7Heu7YfZ3sr2iyiGIF87S9E/BJ5Rvn4G8L+VstZRVJT+vFx1\nAHC+7efa3tr2o2z/qNy2P3CRi7mzbgaexF0tST+tnANJB1WOmaxIVR0FvHXWD6QBS3p9woiIiIiI\naF75/M9lFK1MLwMeQvGM0OT2NcDDgH0lHWv7OElXSfofioEaXlEtz/Y/VN4eAHx9hlM/mKJVC4pu\ncu+zPVk5+zTw8fIcoxSDaZxVHnOPERBtP6bzn7h7hrIlSdIRiaGQOCJ6oy2/44nj7toSR0QT2vL7\nnTjuri1xlPalGFVvE7CaYuS66yY32n6W7V1t/6Ht48p1R9t+vO0X2L59lrL3B34+3Qbbh0wO5mD7\nWNvbVrZttv2n5Tkea/svy/UftP3Jmj9v1wxlJQlowy9nG2KAxBHRK235HU8cd9eWOCKa0Jbf78Rx\nd22JA4pWmxuBBwBbA4+QtF83Cra9ne0ru1FWGw1rJSkiIiIiYrE7ELjc9hXlQA4nAIf2OaaBMHDP\nJC3Tcq9g5az7rGBLttEOfZ0Aqg0xLMY4buOmdbZ37na5z3jSSt9w43itMs67cOOptld1KaTooWVa\n4S1Gtpp1nxVaybajO834O15OX1FPB9+gQfnOa6QL9+hG5y5jxehWbLvsXjN/HuP1/19unbgheSca\nsaXk7WbZvi2wq9T373vi6H0cNwN32Opg192Aqyvv1wJ3e8an7B442fr1yOIxoTrGN9teVrOQvhu4\nStIKVvIYPaXfYURLne6Tr2qi3HU3jvGj7+xWq4wVu/56py6FEz22xchWHLTlH9UqwxtnG3G1wzIm\nuvA3tyuVtfpxjGyxZf0ytt2mdhkTt95Wu4z/Wv+55J1oxHa0q99WtMfqznedriJ1tyRue/VkkdIS\nw4vqhAacsLlmAa0wcJWkiH4wMEa9O7oREfORvBMRXbAW2KPyfnemn4uoJJijx9ZikUpSRAcmMBuc\ni5WI6J3knYjognOAfSTtDVwDHAa8dPZDtm8+qgGQSlJEBwxs7EY3pYiIDiXvRERdtsckHQmcSvGw\n0WdsTzdha0mkklRIJSmiAxM2G7rwHEZERKeSdyKiG2yvAdZ0fkT95z2HQSpJER0wYoMzYn5E9E7y\nTkT0niiGDIlUkiI6MAFscN0hMSMiOpe8ExG9l+52k1JJiujABGKDm/26SFoFfJiiz/CnbB8zZfty\n4HjgkcANwIttXylpR+Bk4NHAcbaPrBzzSOA4YAuKpva/stN/J2IQ9CLvRETc02BUkiTtBTzW9hcX\ncOx627NOgNho9u3gom9P4DPAzsCNwMttr20ypmiIOpnPbA4tvnYvur0sbax8SaPAx4CnUQzXeY6k\nU2xfUtnt1cBNth8g6TDgvcCLgQ3APwL7l0vVxymm2TiLopK0Cvh2Yz9ICzSSd0ZG0Jb15vXRaP0W\nga7Ub8e7MFraRP3BBLTlFrXL8Mr6ZWisC5/H+vpFTKfpvBPdlWueGA5igJ5J2otipL57VJIkLbE9\nVqfwxipJHV70fQA43vbnJD0ZeA/wx03FFLFQE278YuVA4HLbVwBIOgE4FKh+Xw4F3l6+Phn4qCTZ\nvh34oaQHVAuUtAuwje0zy/fHA89liCtJyTsxTHqQd6JLkntieDTf3a5sAfo28EPgsRRDkx8K7Erx\nPdoZuAP4M9s/l3Qc8E3bJ5fHT7YCHQM8SNL5wOeAm4BnAyuAlZIOAb5e/kBLgbfY/nqncTbZktTJ\nRd9+wF+Xr78H/GeD8UQsmBEbJhq9WNkNuLryfi3wmJn2KYf0vAXYEVg3S5nVu5Rry3XDLHknhkYP\n8k50T3JPDJGedLfbB3iJ7T+T9GXgBcCrgNfY/qWkxwD/Djx5ljLeBBxl+48AJB0O/CHwENs3SloC\nPM/2rZJ2As4qb1501C2jyUpSJxd9F1B8KB8GngdsLWlH2zc0GFfEvBXPBiyrW8xOks6tvF9te3X5\nerr+ilO/xJ3sU2f/YZC8E0OjS3kneiO5J4aE2GKLet3L77yTJbNc70z6te3zy9fnUXSdeyxwku56\nhGP5Ak5/mu0by9cC/lnSEyjGwtkNuDfwf50U1GQlqZMLtKMougwdDvyAorntHv0HJR1B8VwFK6j3\nHxexEBPuyh3ddbYfNcO2tcAelfe7A9fOsM/a8u7IthT92meytixntjKHTTN5Z2TWZzsjGtGlvBO9\n0Uju2ba7MUbMSYL73KdeGb/+NWOzXO9M2lh5PU5RebnZ9sOm2XcMGCnik4DZ7h7dXnn9Moque4+0\nvVnSlRRd8TrSZCVpzos+29cCzweQtBXwAtu3TC2orH2uBthGOwz7nfBooR48QH0OsI+kvSn+cB5G\n8TBi1SnAK4EzgRcC352tydj2dZJuk3QQcDbwCuDfmgi+RRrJO9suvVfyTvRcBm4YKI3knl2l5J5Y\nMEkvoniW+UHAgbbPnf2IopK00071zvvrXy/osFuBX0t6ke2TysrQQ2xfAFxJMbLvlym6sU4mxtuA\nrWcpc1vg+rKC9CRgz/kE1GQlac6LvrJ/4I22J4CjKUZ9iWidCcTGBu/ols8YHQmcSjEy0mdsXyzp\nncC5tk8BPg38h6TLKVqQDps8vrw7sg2wTNJzgaeXDwz/BXcNAf5thnjQhlLyTgyNpvNOdFVyT7TR\nRRQV82M7PaAbLUk1vAz4uKS3UFSETqDopvpJ4OuSfgz8N3e1Fl0IjEm6gOJa56Yp5X0B+EbZ9e98\n4OfzCaaxSlKHF31PBN6j4k7JD4DXNhVPRB3uwXwlttdQDNNdXffWyusNwItmOHavGdafyz2HBR9a\nyTsxTHqRd6I7knuijWxfCqB5TNPSi0qS7SupXJvY/kBl86pp9v8tcFBl1dHl+s3AU6bsflzluHUU\nAzlMF8Oc/egbzb4dXPSdTDGU8fx0Y06e6C6NdKGQ+nOvNDUswYRzR3dQNJJ3BFpSb54jT9RPt+rG\nHEddyJ/uQhxaWv/75C7MPaXRbuSuZiTvDJbGrnkieqjPLUmtkltUER3IULwR0WvJOxExF0mnA9NV\na97c6ZxA1cFCRkeX1X4maVikkhTRgeKObr4uEdE7yTsRMRfbT+1CGb8fLGT58pVOS1Ih2TeiAyYX\nKxHRW8k7EdFr6W53l2TfiA4YsSkXKxHRQ8k7EVGHpOdRTP2xM/AtSefbfsbsx6SSNCnZN6IDExYb\nx/N1iYjeSd6JiDpsfw342nyO6cY8ScMi2TeiA4bc0Y2InkreiYhek2CH7bow2vAQSPaN6IAtNk3U\nH244IqJTyTsR0XM2bNjQ7yhaIZWkiA5MIDaN52IlInoneSci+iKVJGBQK0ldmbg0JmmkLZPzduFi\noKEWYpvc0V3s3NBMxYvVSPL4XJJ3IqIvUkkCoNG/UpJWSbpM0uWS3jTN9g9JOr9cfiHp5ibjiVgo\nI8YmRmot0RvJOzEsepV3OvjOLJd0Yrn9bEl7let3lPQ9SeslfXTKMY+U9LPymI9IasvduMYk98RQ\nmOxuV2cZEo21JEkaBT4GPA1YC5wj6RTbl0zuY/uvK/u/Dnh4U/FE1GHD5tzRbb3knRgmvcg7nXxn\ngFcDN9l+gKTDgPcCLwY2AP8I7F8uVR8HjgDOAtYAq4BvN/mz9FNyTwyVIaro1NFkd7sDgcttXwEg\n6QTgUOCSGfZ/CfC2BuOJqEGM5dmAQZC8E0OkJ3mnk+/MocDby9cnAx+VJNu3Az+U9IC7RS3tAmxj\n+8zy/fHAcxniShLJPYLTD9QAABY4SURBVDFMUkkCmq0k7QZcXXm/FnjMdDtK2hPYG/hug/FELFhx\nRzdd5gZA8k4MjS7lnZ0knVt5v9r26sr7Tr4zv9/H9pikW4AdgXUznHO3spxqmbstIPZBktwTwyGj\n2/1ek5Wk6fofz/Tk82HAybbHpy1IOoKi2Z4VbNmd6CLmwYix8VSSBkAzeWd0q+5EFzEPXco762w/\napbtnXxn5vO9Wsj+w6CR3LNtd2KLRUrS+4HnAJuAXwGvsj33s3CpJAHzqCRJ2gK4r+3LOjxkLbBH\n5f3uwLUz7HsY8NqZCirveq0G2EY7DHuijRaySXe7Ppln7mkk72y77F7JO9FzPco7nXxnJvdZK2nJ\n/9/evQfrURZ2HP/+cnIBIhcFvIQgYSRq8UZrUEedVhQZnFqwFUbwRtQx1RrRUUeKsYgoMyqKUwWt\nqYrVGsBiGaJFEBSHUaEmWFBQ1KhRA1gBHeRSkpyTX//YPeH15Fz2ZN/d93J+n5mdvLvv7vM+b5L3\nN/vsPvs8FOfuv5+hzKUzlNnX+uWcZ4mU7Ik6rgJOL+8AfxA4HThtxqPSSAIqjm4n6W+AG4EryvUj\nJK2f4bANwHJJh0paSBEKuxwj6QnAw4HrZlPxiDYZMTY2r9YSs7cb2ZPciaHRUu5U+c2sB04pX58A\nfNOeekx823cA90p6Vjmq3auBy2b7/Xsl5zwxLGx/3fZouXo9f3rxYmoZ3Q6ofifpTIqHEr8FYPvG\n8SFAp1K2WlcDV1JMgPNZ27dIOgvYaHs8PE4GLpoucCN6zrBjx9CPYNuPzmQW2ZPciaHSQu5U/M18\nBviCpE0Ud5BOGj9e0mZgH2ChpJcAx5Qjur0R+BywJ8WADYM0aMOZ5Jwnhs9rgYtn3CvPJO1UtZE0\navue2U5zYPtyiqE/O7edMWH9zFkVKqGRdHvqqm5MJrtjuPPekLtBvTHr7Gkkdwy1z2m68RvpQhl9\nc27Wjclkd3Rh9ug+nr6nrdyZ6Tdj+0HgxCmOXTbF9o3sOiz4oOifc56IGUi6Gnj0JG+tsX1Zuc8a\nYBT44hRl7HwObuHISBpJpaqNpJslvRwYkbQcOBX4bnPViugzBo/178nUEEv2xNyV3OmV5E4MDNtH\nT/e+pFOAFwMvmOoOZudzcIsXLXIaSYWqjaQ3A2uArcCFFLeT39dUpSL6jsWO3EnqhWRPzF3JnV5J\n7sRQkHQsxUANf2X7gUoHpbvdTpUaSeVf7BpgTTmr9OLy9nvE3JFnklqX7Ik5L7nTuuRODJHzgEXA\nVWX30ettv2HGo9JIAio2kiStA94AjAE3APtKOtf2OU1WLqJvpNtLTyR7Yk5L7vREcieGhe3DduvA\nNJKAikOAA4fb/iPwEoqHEh8LvKqxWkX0IY2p1hK7JdkTc1pypyeSOzF3jXe3yxDglZ9JWiBpAUVg\nnGd7uzLBWcwlFuSEoxeSPTF3JXd6JbkTc9sQNXTqqNpI+hSwGbgJuFbSIcAfm6pURN8xOVnpjWRP\nzF3JnV5J7sTclkYSUH3gho8BH+vY9CtJRzVTpYj+pC5MyRKzk+yJuS65077kTsxpGd1up2kbSZJe\nafvfJb1til3OneH4Y4F/pph9+tO2PzDh/ZXAOcBt5abzbH96hjLRgqo3wKbQjQkIh0k3Juftlwkq\ntzVUrkn//hbVyZ4mcgeoP5Grkzt/Yn6f5E43JrVtSnKnVf14zhPRE2kkATPfSVpc/rn3bAsuh808\nH3ghsAXYIGm97R9N2PVi26tnW35E2zTW6xrMKbuVPcmdGDbJnVblnCcC0kgqTdtIsv2p8s/37kbZ\nzwA22f4FgKSLgOOBiYER0ffUwhXdClchFwGfB54O3A28zPbm8r3TgddRDFl7qu0ry+2bgXvL7aO2\nVzT6JbqkRvYkd2JotJE78ZCc80SQ7nYdKvUzkLRU0qWSfifpfyV9WdLSGQ47CPhNx/qWcttEL5X0\nA0mXSDq4Yr0jWqexesu0ZT90FfJFwOHAyZIOn7Db64A/lPMefBT4YHns4cBJwJOAY4FPlOWNO8r2\nEYPSQOq0G9mT3Imh0mTuxORyzhNzXoYAB6rPk3QBsB5YQvGj/0q5bTqTXf6a2IH8K8Ay208Frgb+\nbdKCpFWSNkrauC2TXkcvuPGTlZ1XIW1vA8avQnY6nod+I5cAL1AxhfbxwEW2t9r+JbCpLG8YzDZ7\nmsmdHf8364pH1NZ87sTk+uac54FZVTviT0l6X9kov1HS1yUtqXRgGklA9UbSgbYvsD1aLp8DDpzh\nmC1A51WSpcDtnTvYvtv21nL1Xym6Ee3C9lrbK2yvWKg9KlY5oru0o94ygypXIXfuY3sUuAfYf4Zj\nDXxd0g2SVu3O9+6x2WZPM7kzb8/d/wYRNTScOzG5vjnn2Wv36h8x7hzbT7V9BPBV4IwZj8hksjtV\nHSbuLkmvBC4s10+meCZiOhuA5ZIOpRjJ5STg5Z07SHqM7TvK1eOAH1esT0S73JWrsgdI2tixvtb2\n2vJ1lauQU+0z3bHPsX27pEcCV0m61fa1s6p1b802e5I7MTy6kzsxeznniaFgu3N+r8Xsel4xuSFq\n6NRRtZH0WuA8iucgDHy33DYl26OSVgNXUjyI/lnbt0g6C9hoez1wqqTjgFHg98DK3foWEQ2TYV79\nk5W7pnkuaMarkB37bJE0H9iX4ncz5bG2x//8naRLKbrhDVIjaVbZk9yJYdKl3InZyzlPDA1JZwOv\npuh9Um2+rx41ksrfy7W2r57i/ZXAirZGiKw6meyvKa56zIrty4HLJ2w7o+P16cDpsypUQosWzbYq\nMZ2RLswT0i/zJN3fYNnNdl2Z8SokRR/5U4DrgBOAb9q2pPXAOknnUvShXw58T9JiYJ7te8vXxwBn\nNfotumx3sqex3Fm4YFaH7KILvzN34Xc2T/0xWtqOfep3JNL2LrQg6s5/1bR0mWtdX53zRMxA0tXA\noyd5a43ty2yvAdaUo+CuBt4zSRmrgFUAC6FnjaTO30s/mGky2ekqa9vv63J9IvpTw91eKl6F/Azw\nBUmbKK5CnlQee4ukL1EMNTsKvMn2mKRHAZcWYzswH1hn+4rmvkX3JHsiSHe7liV3YhDZPrriruuA\n/2KSRlLZ9X8twGLJTTeSJC0DvgZ8G3g2xcXh44FPAl+1fYmkIymmRVkMbAVeUB6+RNIVwOOAS22/\nsyzzGOC9wCLg58BrbN9Xp54z3Uma7Lr8YoqhiPcHEhgxZzTd7aXCVcgHgROnOPZs4OwJ234BPK37\nNW1FsieCdLdrWXInhoqk5bZ/Vq4eB9xa6cB27iQtB062/fryQu9Lx9+QtBC4mGI+yA2S9gHGh5k9\nAvhziobTTyR9vHzv3cDRtu+XdBrwNmr2nplpMtmPdFR4b+AtwGsohif+yFTHRQwbOSNFtSnZE5Hc\naVtyJ4bQByQ9gaLj7q+AN1Q5yNu31/3c+dMMVDXul7ZvLF/fACzreO8JwB22N8BDA1CUPWO+Yfue\ncv1HwCHAfhRzTH6n3GchxaMJ9b7ETDtIegRFa+wVFGP6/4XtP9T94IhBk24v7Ur2RCR32pbciWFi\n+6Uz77Wr0fofPVphAvutHa/HgM65NsTUI/FNPG5+uf9Vtk+ebUWnM9MzSecAf0fRT/Epdfv2RQys\nPBvQqmRPBMmdliV3IoqWSRcaSXXdSvHs0ZFld7u9eai73WSuB86XdJjtTZL2Apba/mmdSsx0J+nt\nFC22d1OMjDG+XRQPMe5T58MjBkmeDWhVsieC5E7LkjsR9L6RZHubpJcBH5e0J0UDacoBKmzfWQ4P\nfqGk8SGw3w0010iy3YWxoSMGn3JFt1XJnojkTtuSOxGFphtJtjcDT+5Y//Ak+2wAnjVh8+fKZXyf\nF3e8/iZwZDfrWXUy2Yi5zaCxPp9PJSKGS3InInqg13eS+kWjjSRJx1KMcT4CfNr2Bya8/wbgTRQP\nXt0HrLL9o2kLnT8C++/XTIXb1o1JHbtQhutOktkl2rqtfiF31S9iKun2MhiayB0vms+2Qx/ZUI1n\noRu/95H+KOOBR9XPnbGF9evxiFu68NjJz+sXMZXkzuBo5JwnogfSSCo0dmtZ0ghwPvAiimH5TpZ0\n+ITd1tl+iu0jgA8B5zZVn4haym4vdZZoXnInhkpyZ2Ake2KYjNZchkWTd5KeAWwqJ7RE0kUUs+nu\nvGoyPu55aTFTD/cX0VMC5qXbyyBI7sTQSO4MlGRPDIU+Gd2uLzTZSDoI+E3H+hbgmRN3kvQmijkJ\nFgLPb7A+EbvPoKTGIEjuxPBI7gySZE8MjcROocmRXCbrLL7LVRPb59t+HHAaxXB9uxYkrZK0UdLG\nbWPTDZMe0RAXV3TrLNGKZnJn+/1drmZEBcmdQdJI9jzQ5UpGVJHudoUmG0lbgIM71pcCt0+z/0XA\nSyZ7w/Za2ytsr1g4sudku0Q0SjYaq7dEK5rJnQWLu1jFiGqSOwOlkezZq4sVjLlL0jskWdIBVfZP\nI6nQZCNpA7Bc0qGSFgInAes7d5C0vGP1r4GfNVifiFrmjdVbohXJnRgqyZ2BkeyJviTpYOCFwK+r\nHpNGUqGxZ5Jsj0paDVxJMRzmZ23fIuksYKPt9cBqSUcD24E/AKc0VZ+IWgwazVXZfpfciaHSUu5U\nGLp6EfB54OnA3cDLyskgkXQ68DqKYa1PtX1luX0zcG+5fdT2isa/SA8le6KPfRR4J3BZ1QOGqaFT\nR6PzJNm+HLh8wrYzOl6/pcnPj+iaTOo4MJI7MTRayJ2OoatfSNFlbIOk9RPm73kd8Afbh0k6Cfgg\n8LJyiOuTgCcBS4CrJT3e9vg9rKNsNzh7XX9J9kS/kXQccJvtmzSLefbSSCo02khqwo495nP/nx1Y\nqwx3oZOh53VjQsb69dgxv349RhfVL0M7ahfRlb8PftqFMiYhYN5oF75kDKQdC+bxwJI96hXi+ie7\n3cidHV1I/dE969dj6371yxir+U8CMLboYfUL+V79IibTUu7MOHR1uX5m+foS4DwVZ1zHAxfZ3gr8\nUtKmsrzrmq50RBQkXQ08epK31gDvAo6pUMYqYBUUDYM0kgoD10iK6AnnIeiIaFk7uVNl6Oqd+5Td\nyu4B9i+3Xz/h2IPK1wa+LsnAp2yvbaDuEXOe7aMn2y7pKcChwPhdpKXA9yU9w/ZvJ5SxFlgLsIfk\nNJIKaSRFVGFQ7iRFRJu6kzsHSNrYsb52QoOlytDVU+0z3bHPsX27pEcCV0m61fa1lWsdEbXY/iHw\nyPH18jnBFVW6wKaRVEgjKaIijaWRFBHt6kLu3DXDoAlVhq4e32eLpPnAvsDvpzvW9vifv5N0KUU3\nvDSSIgZAGkmFNJIiKpCdO0kR0aqWcmfn0NXAbRQDMbx8wj7rKUZiuw44AfimbUtaD6yTdC7FwA3L\nge9JWgzMs31v+foY4Kymv0hETM32sqr7ppFUSCMpoop0t4uItrWQOxWHrv4M8IVyYIbfUzSkKPf7\nEsUgD6PAm2yPSXoUcGn5HMR8YJ3tKxr9IhHRNWkkFdJIiqjChrHMzBgRLWopdyoMXf0gcOIUx54N\nnD1h2y+Ap3W/phHRNJNG0rg0kiIqyuh2EdG25E5EtC2NpMLANZK2729++8oHe10NilFN65ZRvx4j\nI/W7Yjz/sfUnF7pra/25RtYdek3tMkYuqF3E5GwYzZ2kuWreqNnzzm21ytgx0oUffFfmSerC3GoP\n1p9s7o+H1S9D22sXwQ3v+WTtMkb+pX49JpXciYgeSCOp0IVpVacm6VhJP5G0SdI/TvL+X0r6vqRR\nSSc0WZeIWkxxslJniVYkd2JoJHcGSrInhsVozWVYNHYnSdIIcD7wQophQjdIWm+7cxbvXwMrgXc0\nVY+IrrBhdJh++sMpuRNDJbkzMJI9MUySOoUmu9s9A9hUPsCJpIuA4ylGwQHA9ubyvQwbFn0uAzcM\niORODJHkzgBJ9sTQSCOp0GQj6SDgNx3rW4Bn7k5BklYBqwDmH7Bv/ZpFzJbJFd3B0EjuLFq0X/2a\nRcxWcmeQNJI9OeOJtmV0u4c02Uia7Ong3RrtwPZaYC3AHo87KEP9RPtsvD2xMQAayZ199lma3In2\nJXcGSSPZs6Qbo0TFnCXpTOD1wJ3lpneVQ/5PK6lTaLKRtAU4uGN9KXB7g58X0Zw8GzAokjsxPJI7\ngyTZE/3qo7Y/PJsDkjqFJhtJG4Dlkg4FbqOYofvlDX5eRHNyRXdQJHdieCR3BkmyJ4ZGUqfQ2BDg\ntkeB1cCVwI+BL9m+RdJZko4DkHSkpC0UM3l/StItTdUnog7beHR7rSWal9yJYZLcGRzJnuhjqyX9\nQNJnJT28ygEZArwge7C6u0q6E/jVDLsdANzVQnX6vQ4w9+pxiO0Du12opCsovkMdd9k+thv1iXYN\nUO5A6jFRG/VI7kQjKmTPXPqdVTGX6nGI7QMlXQ08epL31wDXl/Uw8D7gMbZfO3HHzsFCgCOArTXr\ntsD2wppl9NzANZKqkLTR9oq5XofUI6I9/fJ/PPXoz3pENKFf/n+nHv1Zj06SlgFftf3kHldlYDTW\n3S4iIiIiInpD0mM6Vv8WuLlXdRlETQ7cEBERERERvfEhSUdQdLfbDPx9b6szWIb1TtLaXlcAmPF2\npqS3Stqr4Xp8QdI/dHzmEkmXNPyZk+mHf5OIJvX8/7ik+2aqRxu5I2k/4Ccd673KHeiDf5eIBvX8\n/3dyZ1I9/3cBsP0q20+x/VTbx9m+o9d1GiRD+UxSP5B0n+2HzbDPZmCF7coP90kasT02i/2XkT6o\nEXNCcici2pbciWE1rHeS+oak50n6lqRLJN0q6YsqnAosAa6RdE257zGSrpP0fUn/Ielh5fbNks6Q\n9G3gREmvl7RB0k2Svjx+dUbSoyRdWm6/SdKzgQ8Aj5N0o6RzJC2TdHO5/x6SLpD0Q0n/I+mocvtK\nSf8p6QpJP5P0oR781UXEbkruRETbkjsxdGxnaWAB7iv/fB5wD8Xs2/OA64Dnlu9tBg4oXx8AXAss\nLtdPA87o2O+dHWXv3/H6/cCby9cXA28tX48A+wLLgJs79t+5DrwduKB8/UTg18AewErgF+Xxe1AM\nP3pwr/9Os2TJMv2S3MmSJUvbS3Iny7AuGbihHd+zvQVA0o0UP9xvT9jnWcDhwHckASykCJhxF3e8\nfrKk9wP7AQ+jmLwO4PnAqwFc3KK+R9NPHPZc4OPl/rdK+hXw+PK9b9i+p6zzj4BDgN9U/L4R0XvJ\nnYhoW3InhkYaSe3onJRrjMn/3gVcZfvkKcq4v+P154CX2L5J0kqKqze7Q9O8V6XOEdG/kjsR0bbk\nTgyNPJPUW/cCe5evrweeI+kwAEl7SXr8FMftDdwhaQHwio7t3wDeWB4/ImmfCZ8x0bXjx5ef9Vg6\nRoaJiKGU3ImItiV3YuCkkdRba4GvSbrG9p0UfWMvlPQDihB54hTH/RPw38BVwK0d298CHCXph8AN\nwJNs301xS/tmSedMKOcTwEi5/8XASttbiYhhltyJiLYld2LgZAjwiIiIiIiIDrmTFBERERER0SGN\npIiIiIiIiA5pJEVERERERHRIIykiIiIiIqJDGkkREREREREd0kiKiIiIiIjokEZSREREREREhzSS\nIiIiIiIiOvw/jlqGd4SSVrsAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 0.1.\n" ] }, { "data": { "image/png": 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nA5fbPg94i6QjgWFgLXDsrN5FRMM8aoZzy1w3zCj3JO/EIJFhXsO3zLU4KttP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\nAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 1.\n" ] }, { "data": { "image/png": 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y4Hc/mDuG/kT3GsbtfHyuMtbc+bXBznfWP17EMkk3AjMBV5LMmk4AQ1zBymkesIOk7YEn\ngOOAE8o8oJlVWw/B2sh/Mc3MrHaC9jHlHkGaBnSmFaQNgDcDXyz1oCPgSpJZTQKG6FKYq/SILkmn\nAdcB7cBFEbGgtAOaWeUFsJb8XZTMzGomQXvp1YMtgUvSkX3bgCsj4mdlH3S4XEkyq1XJ95BFxFxg\nbqkHMbOmEUBnk903bGYtoC3/PbSDiYh7gNeUepACuJJkVoug1JYkM7O+eiJY40qSmdWTyu9u1yxc\nSTKrSZR9T5KZ2XoCsSY8U4eZ1ZEEHa4kgStJZrUJoCIjCZrZ6NADrIlyu72Yma2vLvckNQV/Cma1\ncnc7M6ujHsSa8H/TZlZH7m73olKzr6SZwFdJRuv6TkSc02f7tsBFwDRgCXBSRCwqM6aiREVOmLs6\n1+Uuo70j/9egc3X+eZLUVuFuJVHu6HZWnHLyTuRvSVyXf66Sts78I51tNj//9/j5/QaeJLZWPUvH\n5S5j422W5i7jWwvemLsMuKGAMl4u6W7nk5VmUUbukaAj57w+4zvy/986eXz+84SNN8z/m1+5On8e\nLeI2v66u/Lm4vT3f31WFTIrbf8luSUqU9imkw/pdALyFZKLMeZLmRMR9md3OAy6NiEskHQx8AXh3\nWTGZ5eJKUuU571gr6QlXkpqFc4+1DLckvajMquI+wIMR8TCApNnA0UA2YewC/Gv6+DfAj0uMx2zk\nwgM3NAnnHWsZgVjT45OVJuHcY63BlaQXldm/aSvg8czzRem6rLuBd6SPjwEmSdq0xJjMRq4n8i1W\nD8471jKSe5LG5lqsbpx7rCUIaGtvz7W0ijJbkvrrLNn3TPF04HxJJwM3AU8AXS8rSDoVOBVgm802\nLzZKs1q5u10zKCXvjNfEYqM0q0FPuCWpiZSSe6Zt2beeZVYyibb2Ct8jXkdlVpIWAVtnns8Anszu\nEBFPAm8HkLQh8I6IWN63oIiYBcwCeO2Of+dL8lZ/HrihWZSSdyZ3THXesbrzwA1NpZTc86pdX+3c\nY/UlXElKlVlJmgfsIGl7kqslxwEnZHeQNBVYEhE9wBkko76YVZMrSc3AecdaRg9ibR1akmoYle39\nwIeAbmAFcGqfAQnMucdahBDtLdRlLo/SqooR0QWcBlwH3A9cGRELJJ0t6ah0twOBhZL+AmwOfL6s\neMxy6W1JyrNY6Zx3rJVEOk9SnmUomVHZDiMZWOB4Sbv02e3yiNg9IvYEzgW+XPR7bXbOPdYy0pak\nPEurKHUg9IiYC8zts+5TmcdXA1cPt9wqzKdTxDxJUcDN/EXE0d31si7Rw9a5enXuMqoy99SAut3r\noRmUkncCojvnvBidBcyTtDz/fGQdqzbIXcbCJ/LfG7rhQ/mvVK5+cmruMia9fnHuMsrSE3VpSRpy\nVLaIeD6z/0Refq+NUd45T5vyzYczpoCT1olj85ex0Qb5v8vtRbyXAuZ8emFV/ny+dm3O/1NKmiZJ\n+J6kXp4tyqwWgVuDzKyu6jQEeH+jsu3bdydJHwL+DRgLHFx2UGbWIKL07naStgYuBbYAeoBZEfHV\nUg86Aq4kmdXEAzeYWX0lLUm5/5ueKml+5vmsdGCAXrWMykZEXABcIOkE4JPAe/MGZmbVo/qMbtcF\nfCwi7pQ0CbhD0vVVu9fRlSSzWrmSZGZ1FBRSSVocEXsPsn3IUdn6mA18M29QZlZdZVeSIuIp4Kn0\n8QuS7idp1XYlyazpuLudmdVZINblryQNpZZR2XaIiAfSp0cAD2BmLUmq7+h2krYDXgPcVreD1siV\nJLOahAduMLO66gmxtrvc/6YjoktS76hs7cBFvaOyAfMjYg5wmqQ3A53AUtzVzqylFdCSNFQ3X+DF\n+cJ+CHy0zwAxleBKklkt3JJkZnUWUI+WpFpGZfuX0oMws0pIWpJyV5KG6uaLpDEkFaTLIuJHeQ9Y\nBleSzGrlSpKZ1VGEWNfjSR3NrI4E7e0ljS/eewhJwHeB+yOisvOuuZJkVoto7Oh2kt4JnAXsDOwT\nEfMHf4WZNbsexLpuV5LMrH4EdHSUPrrd/wPeDfxJ0l3puv9MW7Uro+kqSUJI+f54EdVoEahKHF1r\n1+Quo7OAMio/mWxj47sXeDtwYSODGLUiIO9ksmvX5g5Dq/PPmTPuufy/1Y1v3DB3GSrgHr+NHsv/\nm3xixpTcZZQlArckjXIC2nNOJtuR8/UAYzvylzFxbP7v8uSJY3OXUYQCPlKUs5Cy2noK6m43qIj4\nPeW9hcKUWkmSNBP4KsnNoN+JiHP6bP8KcFD6dAKwWURU938sG916GjdwQ0TcD/mT6mjgvGOtIhCd\nbklqGs491hLq0N2uWZRWSZLUDlwAvIVkHoZ5kuZkJ4qKiH/N7P9hkiEAzaonAror3tJlzjvWUiKg\n0y1JTcG5x1qFoPSWpGZRZkvSPsCDEfEwgKTZwNEMPFHU8cCnS4zHLJ/I3ZI06JCYkm4AtujndWdG\nxE/yHnyUcN6xFiK6e3yy0iSce6w1CNra3JIE5VaStgIezzxfBOzb346StgW2B35dYjxmI1fEPSlD\nDIkZEW/OewBz3rHWkbQkuZLUJJx7rCUIubtdqsxKUn+f8ECX4o8Dro6Ifs9CJZ0KnAqwzWabFxOd\n2TBEBF2dnY0Ow4ZWSt4Zr4nFRGc2DIHo6nYlqUmUknumbTmjmOjMaiS5u12vmitJkjYAtomIhTW+\nZBGwdeb5DODJAfY9DvjQQAWlXZJmAey9486Nu3veRq8IujvXNezwko4Bvg5MA34u6a6IOLRhAdXR\nMHNPKXlnctumzjtWdxHQ5YEbGqIq5zw77Ppq5x6rO1eSEjV9CpKOBO4CfpE+31PSnCFeNg/YQdL2\nksaSJIWXvUbSTsDGwC3DCdysniKC7nXrci05j39NRMyIiHERsfkoqiANN/c471jLCER3d1uuxYbP\n5zw2miVDgOdbWkWtLUlnkdyUeCNARNwlabvBXhARXZJOA64jGQ7zoohYIOlsYH5E9CaP44HZEfnv\nijcrTYNbkkaxsxhG7nHesZYS0NPTOiccTeQsfM5jo5QEHW5JAmqvJHVFxPLhztGSzpw7t8+6T/V5\nftawCi1A3sloi1LE5KlFTATbVcAkl2PGjc9dxpoXns9dRlkigm7fk9QIw849peQdCdpyTmK9Jv/v\njPb8Xa/al67MXcb4ZRPyx7E2/zni81vnv61WPbkHZClNgFuDGqNC5zxCOefcbCtgfr1xBZw0jx+T\nv4wJ4/L/5let7cpdRkdH/vcyJufnUea0iR0t1BqUR63ftnslnQC0S9oB+Ahwc3lhmVVLRNCVs8uc\njYhzj41eAdHtk5UGcN6xUUsSHTkvCraKWj+FDwO7AmuBHwDPAx8tKyizqonoobtzXa7FRsS5x0av\nED3dbbkWGxHnHRu1RNKSlGdpFTW1JEXEKuBM4Mx0VumJEZG/n5dZs3B3u4Zw7rFRz/ck1Z3zjo1m\nvifpJbWObne5pI0kTQQWAAsl/Xu5oZlVR/Q0dnS70cq5x0a1tLtdnsWGz3nHRjMBHW3KtbSKWquK\nu0TE88Dfk9yUuA3w7tKiMquadHQ7d7erO+ceG9XUrVyLjYjzjo1eEu3tbbmWoQ+hiyQ9I+neOryj\nEat14IYxksaQJIzzI6JTkoevtFEjIuhyRacRnHts9AqBKzqN4Lxjo1ZvS1LJLgbOBy4t+0B51FpJ\nuhB4FLgbuEnStiQ3MpqNCslksr4nqQGce2z0ClxJagznHRu16nFPUkTcNNTcY1VQ68ANXwO+lln1\nmKSDygnJrILS0e2svpx7bLRT/un0hj6GNBP4KskkqN+JiHP6bP834B+BLuBZ4B8i4rHyI2sM5x0b\nzaTWGqEuj0ErSZJOiojvpwmyP18e4vVDJd6TgS8BT6Srzo+I7wwasUB5J3UsYBLXIvQUEEcRJ+5r\nV67IXUbn6tW5y1i3Kn8cZYn0niSrjzy5p5S8U4Doyj+BIavzD7DVtmJV7jImPFXAxLg9+XsvtW2Z\nf3Ldsw75Ye4yTsldwgCC0u8rSkdvuwB4C7AImCdpTkTcl9ntj8DeEbFK0geAc4F3lRpYA1TynIf8\nk4YW0XOqiJPmsQWUMa6ASVyfX5X/3CsK6Hz57LP5Jvbu7CrnXDbpbpf7c54qaX7m+ayImJW30Hob\nqiVpYvrvpOEWXGPiBbgiIk4bbvlm9ZR0t3MlqY5GlHucd6zVqLv0Q+wDPBgRDwNImg0cDbz4m4mI\n32T2vxU4qfSoGsPnPDbqSTAmf4V2cUTsXUQ8jTRoJSkiLkz//cwIyh4y8Zo1jQi6PE9S3eTIPc47\n1jJUTEvSUFd0twIezzxfBOw7SHnvA67NG1QV+ZzHLGlJKqCS1BJqnSdphqRr0uH6npb0Q0kzhnhZ\nf4l3q372e4ekeyRdLWnrGuM2q6vwEOANMYLc47xjLUXd+RbSK7qZpW+Xl/7OhvrtTCTpJGBvki5j\nLcvnPDaaSWJMW76lhmP8ALgF2EnSIknvK/2NjUCtnQ6/B8wBppP86H+arhtMLYn3p8B2EbEHcANw\nSb8FSadKmi9p/rPLltUYsllxervbeTLZuhtu7ikl76yL/PcCmQ1bFFJJGsoiIHuyPgN4su9Okt4M\nnAkcFREF3JRWaZU553l+6XPDCtwsr96WpDzLUCLi+IjYMiLGRMSMiPhu+e9s+GqtJE2LiO9FRFe6\nXAxMG+I1QybeiHguk2y/Dby2v4IiYlbvVbBpU6bUGLJZgdLR7dySVHfDzT2l5J2xGj/yd2CWg3ry\nLTWYB+wgaXtJY4HjSCoIL8UgvYZkWOyjIuKZot9jBVXmnGejjTcd2TswGykl8yTlWVpFrZWkxZJO\nktSeLicBQ13eqCXxbpl5ehRwf62Bm9VT0t2uM9diIzLc3OO8Y62jDi1JEdEFnAZcR/JbuDIiFkg6\nW9JR6W5fAjYErpJ0l6Q5AxTXKnzOY6NWPVqSmkWtk8n+A8nMuF8haT6+OV03oIjoktSbeNuBi3oT\nLzA/IuYAH0mTcBewBDh5RO/CrGTRE3S5y1wjDCv3OO9YK1FAW/mj2xERc4G5fdZ9KvP4zeVHUSk+\n57FRq6DR7VpCrZPJ/pXkqsew1JB4zwDOGG65eeWdZ6moMopQRAvFulX5xuoHWLH42dxljBk3LncZ\npfE8SQ0xktxTSt6JgJzzmkV3AWe7BVTUY03+20naVuXPO12T8//eN1iSf56QLTqW5y6jTHUYAtz6\nqNI5jwD1e7tT7dryTrQEtBdQRhEn3m0FdOXq6s4/yVFXSXMUVYGobfCF0WCoyWQ/NcjmiIjPFhyP\nWSV5nqT6cu4x48XudlYfzjtmbknKGqolqb8mhokk8yRsCjhh2CgR9BTREjBCkr4EHAmsAx4CTomI\nVh7q0bnHjJoHX7BiOO/YqCeg3S1JwNCTyf5P72NJk4B/AU4BZgP/M9DrzFpNNL673fXAGWm/9y+S\ndNn4j0YGVCbnHrN0MllXkurGeccsaUlqpRHq8hjyniRJmwD/BpxIMqb/XhGxtOzAzKqk0QM3RMQv\nM09vBY5tVCz14txj5u529ea8Y6OdgI4C7kFrBUPdk/Ql4O3ALGD3iFhRl6jMqiadJ6ki/gG4otFB\nlMm5xwzfk1RnzjtmycANbklKDNWS9DFgLfBJ4Ey9VLMUyU2MG5UYm1ll9M6TlNNUSfMzz2dFxKze\nJ5JuALbo53VnRsRP0n3OJBk+9rK8wVScc48Z9RkC3F7kvGMmaK/ICM6NNtQ9Sf6UzEgmyujMP3DD\n4ojYe8BjDDEXiaT3Am8DDomI/GOYVphzj1l6T5IrSXXjvGPm7nZZtU4mazaqRQTrcs6Tk4ekmSQD\nNRwQEasaFoiZ1U+ACpjTxcysVsIDN/QqtZKUnth9lWT26e9ExDl9tr8f+BDQDawATo2I+4YsN2cz\nYDTwZLdoPV1ductYtWxJ7jKKmEx2k623yV1GWQJY19jGm/OBccD1aReQWyPi/Y0MqKrKyDtBUlHO\npYDvTxET0sba/JPJqoAcWsTJ/5op+S/8v3VC/olxy+Tuds2jlHMeQRXOV4sIoYhhpYsoo6uA/LVu\nXf5zr5XP57ve2dNdzrmsEB0qv1F1qN9LFZRWSZLUDlwAvAVYBMyTNKdPQrg8Ir6V7n8U8GVgZlkx\nmY1UDzS0JSkiXtWwgzcR5x1rKe5u1zSce6xlqPx5kmr8vTRcmS1J+wAPRsTDAJJmA0cDL34AEfF8\nZv+JJBdszSqnAi1JVhvnHWvPljWEAAAgAElEQVQZAtrc3a5ZOPdYS6hTd7shfy9VUGYlaSvg8czz\nRcC+fXeS9CGSOQnGAgeXGI/ZiDX6niSrmfOOtY4A5e/VY/Xh3GMtoU7d7Wr6vTRamZ9Cf9XQl101\niYgLIuKVJDelf7LfgqRTJc2XNP/Z5csKDtNsaL0tSXkWq4tS8k5nrCk4TLMaRNKSlGexuikl9yxf\n8lzBYZoNTkpakvIspFOeZJZT+x6mn0NXLmGV2ZK0CNg683wG8OQg+88GvtnfhnQumVkAe++0c+U+\nRGt9AXS6JakZlJJ3Nmrb1HnH6k4RHt2ueZSSe3bcbU9/Aazu2vIPAT7olCcM//fSEGVWkuYBO0ja\nHngCOA44IbuDpB0i4oH06RHAA5hVULg1qFk471hL8eh2TcO5x1pGHeaSHfL3UgWlVZIiokvSacB1\nJMP7XRQRCySdDcyPiDnAaZLeDHQCS4H3lhWPWR6NHt3OauO8Yy0lQF2+ONMMnHusVUjQXvJksgP9\nXko96AiUOk9SRMwF5vZZ96nM438p8/hmRfHods3DecdahieTbSrOPdYaRFsdJufq7/dSNaVWkmxw\nRUxq213AZLJrli/PXcaNv70hdxlHHPOu3GWUxaPbjXYBBUzkmj+MakxIW0RfjPY1+XNXWwHzwHZG\nBf6uAxDQ1lV+3qlhEtQ3Af8L7AEcFxFXlx6UFUYFTAWrAloWqjApLkB3ARceiihj7Zp8E3tHTzkX\nUEQh9yS1BFeSzGrgliQzq7s6DNxQ46SOfwVOBk4vNRgzazzV5Z6kpuBKklkNAt+TZGZ1FqDyW5Jq\nmQT10XSbk6BZixPl35PULFxJMqtBD25JMrP6U3fp9ZKmmNTRzOqnHvckNQNXksxqEBGeJ8nM6koR\nRbQkTZU0P/N8VjoPz4uH6ec1viJkNkr5nqSXuJJkVgPfk2RmdVdMd7uWmNTRzOrE9yS9yJUksxr4\nniQzq7uoy6iKTTGpo5nVh5DvSUq5kmRWg4hwS5KZ1V3ZAzfUMgmqpNcB1wAbA0dK+kxE7FpqYGbW\nML4nKdGUlaQi5hdqhRgAerrzzzWyatnS3GUsXLUqdxl73XdP7jLK0oNbkkYztbfTNnmjXGX0rFhZ\nSBy5yxg7JncZReS/ldMn5i7j2f3z57/LXtgydxnwSAFl9CMCusqfx6mGSVDnkXTDs3oLyDsdThGt\nAlU5Zy5iaqAiGknWrs3/u2zPm8/L+pvI9yT1KrXXoaSZkhZKelDSJ/rZ/iZJd0rqknRsmbGY5dUV\nkWux+nDesZYRQHdPvsXqxrnHWkEycEO+pVWU1pLkCeqslXgI8ObgvGMtJQK68reWWfmce6yVuLtd\noszudp6gzlpGRLi7XXNw3rEWUpeBG6wYzj3WEiRPJturzEpSYRPUSToVOBVgm822yB+Z2TB5CPCm\nUUreGd+2Yf7IzIYrcEtS8ygl92y2pW8Fs/rzEOCJMj+Gwiaoi4hZEbF3ROw9bcqUnGGZDV8AnT09\nuZY8JH1W0j2S7pL0S0nTi3lnLaeUvDO2bXzOsMxGIILo7Mq1WN2Uknsmb7xpzrDMhkeINuVbch1f\neqekBZJ6JA02x1vpymxJ8gR11jIqMAT4lyLivwAkfQT4FPD+RgZUUc471jp8T1Izce6x1iBob+w9\nSfcCbwcubGQQUG4lyRPUWcto9GSyEfF85ulERniFchRw3rHWkbYkWVNw7rGWkIxu17hKUkTcD6AK\n3BdVWiXJE9RZK6nC6HaSPg+8B1gOHNTQYCrKecdaSUQQXZ2NDsNq4NxjrcT3JCUUTXYzuqRngceG\n2G0qsLgO4VQ9Bhh9cWwbEdOKLlTSL0jeQx7jgTWZ57MiYlbmGDcA/Y1McmZE/CSz3xnA+Ij4dM54\nrEZNlHfAcfRVjziqnHcWR8TMIuKx+qsh94ym31ktRlMcVc47uc93JN0InB4R83PGMmJNV0mqhaT5\nEdHQm72qEIPjaE2StgV+HhG7NToWe0lVvuOOo5pxmJWhKt9vx1HNOJpZFSpJblAzawKSdsg8PQr4\nc6NiMTMzM2t1ZQ7cYGbFOUfSTiS3Rz2GR7YzMzOzFiPpGODrwDTg55LuiohDGxFLq7YkzRp6l9IN\n2RVK0kclTSg5jv+T9MHMMadLurrkY/anCn+TphUR74iI3SJij4g4MiKeaHRM9jIN/45LWjFUHPXI\nO5KmAAszzxuVd6ACfxezEjX8++2806+G/12aVURcExEzImJcRGzeqAoStOg9SVUgaUVEbDjEPo8C\ne0dEzTf3SWqPiO5h7L8d8DPfv2LW+px3zKzenHesVbVqS1JlSDpQ0o2Srpb0Z0mXKfERYDrwG0m/\nSfd9q6RbJN0p6SpJG6brH5X0KUm/B94p6Z8kzZN0t6Qf9l6dkbS5pGvS9XdLegNwDvBKSXdJ+pKk\n7STdm+4/XtL3JP1J0h8lHZSuP1nSjyT9QtIDks5twEdnZiPkvGNm9ea8Yy0nIryUsAAr0n8PJJnX\nZgZJpfQWYP9026PA1PTxVOAmYGL6/D+AT2X2+3im7E0zjz8HfDh9fAXw0fRxOzAZ2A64N7P/i8+B\njwHfSx//HfBXkmEbTwYeTl8/nuQemK0b/Zl68eJl8MV5x4sXL/VenHe8tOrigRvq4/aIWAQg6S6S\nH+7v++yzH7AL8AclswyPJUkwva7IPN5N0ueAKcCGJJPXARxMMtkokTRRL5e08SBx7U9ycxwR8WdJ\njwE7ptt+FRHL05jvA7YFHq/x/ZpZ4znvmFm9Oe9Yy3AlqT7WZh530//nLuD6iDh+gDJWZh5fDPx9\nRNwt6WSSqzcjoUG21RKzmVWX846Z1ZvzjrUM35PUWC8Ak9LHtwL/T9KrACRNkLTjAK+bBDwlaQxw\nYmb9r4APpK9vl7RRn2P0dVPv69NjbUNmZBgza0nOO2ZWb8471nRcSWqsWcC1kn4TEc+S9I39gaR7\nSJLI3w3wuv8CbgOuZ/1JRf8FOEjSn4A7gF0j4jmSJu17JX2pTznfANrT/a8ATo6ItZhZK3PeMbN6\nc96xpuMhwM3MzMzMzDLckmRmZmZmZpbhSpKZmZmZmVmGK0lmZmZmZmYZriSZmZmZmZlluJJkZmZm\nZmaW4UqSmZmZmZlZhitJZmZmZmZmGa4kmZmZmZmZZbiSZGZmZmZmluFKkpmZmZmZWYYrSWZmZmZm\nZhmuJJmZmZmZmWW4kmRmZmZmZpbhSpKZmZmZmVmGK0lmZlYYSWdJ+n6j4zCzckh6VNKbG3DcL0j6\naJ2PebukXet5TKsOV5LMzKwmrgCZWSNImga8B7iwzoc+Dzi7zse0inAlyczMzMyq7GRgbkSsrvNx\n5wAHSdqyzse1CnAlqcHSZut/l3SPpJWSvitpc0nXSnpB0g2SNk733U/SzZKWSbpb0oGZck6RdH/6\nmocl/XNm24GSFkn6mKRnJD0l6ZQGvF0zaxKS/kPSE2lOWSjpCOA/gXdJWiHp7nS/7SX9Nt3vemBq\nQwM3s7qRtLOkG9PzkgWSjsps20vSH9PccJWkKyR9boSHOgz4bZ9jn5ieE10h6W+SHpd0WJ7301dE\nrAHuAN5aZLnWHFxJqoZ3AG8BdgSOBK4lORmZSvI3+oikrYCfA58DNgFOB36YNkEDPAO8DdgIOAX4\niqS9MsfYApgMbAW8D7igt/JlZpYlaSfgNOB1ETEJOBT4M/DfwBURsWFEvDrd/XKSk4ipwGeB9zYg\nZDOrM0ljgJ8CvwQ2Az4MXCZpJ0ljgWuAi0nOWX4AHJPjcLsDC/tZ9xrgh8DWwFeBb+U4xkDuB149\n5F7WclxJqoavR8TTEfEE8Dvgtoj4Y0SsJUkyrwFOImlqnhsRPRFxPTAfOBwgIn4eEQ9F4rckSeuN\nmWN0AmdHRGdEzAVWADvV7y2aWRPpBsYBu0gaExGPRsRDfXeStA3wOuC/ImJtRNxEctJkZq1vP2BD\n4JyIWBcRvwZ+BhyfbusAvpaed/wIuL33hZImp4MirJC0W2b95yX9TtLVkiZkjjUFeKHP8XcHvhIR\nV0ZEJ3ApsI2k8WnL1ZWZcudJUvp4E0nfT49zh6RPp61hj6StYTdKOj1znBfS49so40pSNTydeby6\nn+cbAtsC70ybtJdJWgbsD2wJIOkwSbdKWpJuO5z1u708FxFdmeer0nLNzNYTEQ8CHwXOAp6RNFvS\n9H52nQ4sjYiVmXWP1SFEM2u86cDjEdGTWfcYSY+V6cATERGZbY9nHq8CjgCu7l2RVpZeGRFvBG4A\n/iGz/1JgUp/j7559PUlr1oq0i9wrgE0ktaetWp2ZWC4HZqfH2Rv4Q0QcSHJx+dSIODAizsuUOwlY\nNvhHYa3IlaTm8TjwfxExJbNMjIhzJI0jaW4+D9g8IqYAcwE1MmAza14RcXlE7E9ygSaAL6b/Zj0F\nbCxpYmbdNnUK0cwa60lga0nZc8ltgCdIcsNWva03qa17H6StS8/2Ke+NJLcbkP67f2bbPSS3JAAg\naUpaXraMY4FreytFwC0kLVo7k3bVk3QAyUXjn6VxRETckL5+V+C+ft7nzsDd/X0A1tpcSWoe3weO\nlHRoemVkfDogwwxgLEnXmGeBrvTGRd9kaGYjkt5TcHB6AWYNSYt2N0kr93a9J0UR8RhJt9/PSBor\naX+S+yrNrPXdBqwEPi5pTDqY1JHAbJIKSjdwmqQOSUcD+wxR3sbA8vTxcpJ7mXrNBQ7IPN89Lf+E\ntPwjgA+StH73VoquA2YCuwH3pq87BPjRAMefEhFLsyvSHPha4PohYrcW5EpSk4iIx4GjSQZ0eJak\nZenfgbaIeAH4CHAlSZP0CSTDVpqZjcQ44BxgMfA3km4s/wlclW5/TtKd6eMTgH2BJcCnSe4LMLMW\nFxHrgKNIRp5bDHwDeE9E/Dnd9naSgaKWkdxX/TNg7SBFLiUZYIr03yWZbZcCh0vaIH2+O3AZ8Pr0\ndZ8B/j4i7uOlStGt6fbdgAXp6zYHnut74HRwrCf7ieko4MaI6G+btTit313UzMzMzKxYkm4DvhUR\n38usuxg4LyLulbQ7cEZEnCDpVGBcRHw9s+9/A89ExP9K+ibwl4j4Sj/H+QJwU0RcK+lqYAZwbEQs\nkvR+YNuIOCPdd7+IuFXSocDMiPjXfmJ+X0Tc2/c41vo6Gh2AmZmZmbWW9P6fhSStTCcCewC/yGyf\nC+wJ7CTpwoi4WNJjkn5HMq3Je7LlRcR/Zp7uDvxkgEPvStKqBUk3uXMjYlH6/LvAN9NjtAN3kbQ4\n9Xs/UkTsW/s7tlbjliQzMzMzK1TaGvRZkpF0HyJpJfp5QWUvA/aMiEeLKM+sP64kmZmZmZmZZXjg\nBjMzMzMzswxXkszMzMzMzDJcSTIzMzMzM8toqkqSpJmSFkp6UNIn+tk+TtIV6fbbJG2X2XZGun5h\nOtRjo+LYQ9ItkhZI+pOk8SXG8SZJd0rqknRsZv2emRjukfSukcaQJ45027lpHPdL+lqf2bnNKqEK\nucd5p5g40m3OO1Z5Vcg7BcTRUrnHeWeUiYimWEiGanwIeAUwFrgb2KXPPh8kGYMf4DjgivTxLun+\n44Dt03LaGxBHB3AP8Or0+aYlx7EdyZCbl5LMEdC7fkdgh/TxdOApkpmm6x3HG4A/pGW0k8zQfWCj\nv2tevGSXKuQe551C43De8VL5pQp5p4A4Wir3VC3vAI8Cb27Ad/MLwEfrfMzbgV3r/V6bqSVpH+DB\niHg4kpmcZwNH99nnaOCS9PHVwCFpTf1oYHZErI2IR4AH0/LqHcdbgXsi4m6AiHguIrrLiiMiHo2I\ne4CePuv/EhEPpI+fJJmPYFq94wACGE+SbMYBY4CnRxiHWVmqkHucdwqKA+cdaw5VyDt542i13DPq\n846kaSTzV11Y50OfB5xd52M2VSVpK+DxzPNF6bp+94mILmA5yZWLWl5bjzh2BELSdWlz7MdHGEOt\ncQxJ0j4kP9qH6h1HRNwC/Ibkqs5TwHURcf8I4zArSxVyj/NOQXE471iTqELeyRtHq+Ue5x04GZgb\nEavrfNw5wEGStqznQZupktRf382+kzwNtE8tr61HHB3A/iQzT+8PHCPpkBLjGLyA5Mv2f8ApEdH3\nqkfpcUh6FbAzMIMk0Rws6U0jjMOsLFXIPc47BcXhvGNNogp5J28crZZ7Kpt3JO0s6UZJy9L7no7K\nbNtL0h8lvSDpqvT+sc+N8FCHAb/tc+wTJd2clvs3SY9LOizP++krItYAd5C0TtZNM1WSFgFbZ57P\nAJ4caB9JHcBkYEmNr61XHL+NiMURsQqYC+xVYhwDkrQR8HPgkxFx6whjyBvHMcCtEbEiIlYA1wL7\n5YjFrAxVyD3OO8XF4bxjzaAKeaeIOFop91Qy70gaA/wU+CWwGfBh4DJJO0kaC1wDXAxsAvwgjWWk\ndgcW9rPuNcAPST6frwLfynGMgdwPvLqEcgfUTJWkecAOkrZP/+jHkTS/Zc0B3ps+Phb4dSR3fM0B\njktHYNke2IHkJrB6x3EdsIekCWkiOQC4r8Q4+pX50VwaEVeN8Pi54wD+ChwgqSP9kR9A8iMwq5Iq\n5B7nnYLiwHnHmkMV8k7eOFot91Q17+wHbAicExHrIuLXwM+A49NtHcDXIqIzIn5E5rsgabKk2yWt\nkLRbZv3nJf1O0tWSJmSONQV4oc/xdwe+EhFXRkQnyaAV20gan7ZcXZkpd156vxqSNpH0/fQ4d0j6\ndNoa9kjaGnajpNMzx3khPX795Bn1od4LcDjwF5K+pGem684GjkofjweuIrlJ8XbgFZnXnpm+biFw\nWAPjOAlYANwLnFtyHK8jufKxEngOWJCJoRO4K7Ps2YA42klu/rufJHF+udHfMS9e+luqkHucdwqL\nw3nHS1MsVcg7BcTRUrmnSnmHdHQ74F3AvD7bzgG+TVKRu73Pth8An0sfjyEZxOJiYLd03W4kA38A\nvB84LfPaZ4DX9Snvr8Bemee7AS+kj+8Abkjf/1jg5sx+vwDelj4W6Uh96ef0//p5v18r4nMbzqL0\nwGZmZmZm1gQkPQr8I7CWpJI6PdJ7rSRdTlKZ+w1wOTAjemsj0u+BGyPik5myLgbOi4h7JX0AWBUR\nl0jaFvhiRByX7ncD8L2IuCx9PgVYCmwTEY+n684iGYb+JOAm4HqSCtEKkqHDT5F0AHBqRJzYz/v6\nPXBkRCzts/564PsRcUnf15SlmbrbmZmZmZnZS24jabn6uKQxkg4EjiQZovwWoBs4Le3qdzRDDwe/\nMckIhaT/bpLZNpekq2Cv3dPyT0jLP4Jk3qyzSAaqWEjS7XImSQvTvenrDgF+NMDxp/RTQRoHvJak\nwlU3riSZmZmZmTWhSOZsOopk5LnFwDeA90TEn9NtbwfeBywjad35GUnr00CWkgy+AS8NwtHrUuBw\nSRukz3cHLgNen77uM8DfR8R9vFQpujXdvhtJ10uAzUm6I65H0lb0PxjGUSStXyMdgGREXEkyMzMz\nM2siEbFdRNyQPl4QEQdExOSI2CUirsnsNz8i9oyIDSPinSRDkC8apOjfA4emjw8F/pApazFJRemf\n01W7A3dFxN9HxKSI2Dsibk637QbcG8ncWcuAg3ipJemPmWMgab/Ma3orUlmnA58a9AMpQUe9D2hm\nZmZmZuVL7/9ZSNLKdCKwB8k9Qr3b5wJ7AjtJujAiLpb0mKTfkQzU8J5seRHxn5mnuwM/GeDQu5K0\nakHSTe7ciOitnH0X+GZ6jHaSwTRuTV/zshEQI2Lf2t9xcVqyJUnSqY4h4TjM6qMq33HHsb6qxGFW\nhqp8vx3H+qoSR2onklH11gGzSEaue6p3Y0QcHhHTI+L1EXFxuu6MiHhjRLwjIlYOUvZuwJ/72xAR\nR/UO5hARF0bE5My2zoj4x/QYb4iID6brvxwR3875fgvTkpUkoApfzirEAI7DrF6q8h13HOurShxm\nZajK99txrK8qcUDSarMEeBUwCdhL0i5FFBwRUyLi0SLKqqJWrSSZmZmZmY12+wAPRsTD6UAOs4Gj\nGxxTU2i6eZLGalyMZ+Kg+3SyljGMq1NEjY1BbYPXc9fFGsZq/KD7xPj8cWqI79G6rlWM7Zgw6D7d\n4/LX2Vcue2JxREzLXVAfhx40MZ5b0p2rjDvuWXtdRMwsKCSrozFjJ8b4CRsPuk/nupWMGTt4bsor\n2jTkPp1rVzBm3IaDlFFEHEPv07V6JR0bDPx59IwpII72offpXrGS9g0HjmP7Kc/kjmPhn9Y571gp\npImx/gjMfa2EIc6JirFuiO2rgQ2G2KezgDiGOkYtn0f+2/G35K+Dbl8FDH7Gk98yYFXEkP8pSDoW\nmBkR/5g+fzewb0ScltnnVF5q/XptcptQHt2dETE2ZyEN13QDN4xnIvvqkHyFtOX941dHWwEVnNj1\nlbnL0Lqu3GWs3G5S7jL+8OOPP5a7kH4sXtLFzb/YKlcZ46c/MrWgcKzOxk/YmNfs/5FcZdRSwRlK\n97j8ZXROzF9LWjcpfxxrCqhSrJvck7uMbx/9jaF3GsKbtn/YecdKsgnw0UYHweCDodXqqaF3GVIR\nvcTy/yRO5UMFxJHPrNp37S9hr3dlOyJm9RYpdQS8M09owOwiasQN13SVJLNGCKCLfFd0zcyGw3nH\nzAqwCNg683wG/c9FlBL1aZ2sPleSzGrQQ7AmfLJiZvXjvGNmBZgH7CBpe+AJ4DjghMFfMnj38tHC\nlSSzGgSwNvJ37TEzq5XzjpnlFRFdkk4DriO52eiiiOhvwtaUcCUp4UqSWQ16IljTZIOcmFlzc94x\nsyJExFxgbu2v2Ki0WJqJK0lmNQjEmiKGBTMzq5HzjpnVn4ApjQ6iElxJMqtBD7CmlvGGc5B0EfA2\n4JmI2K2f7QcCPwEeSVf9KCLOLjUoM2uYeuQdM7P1ubtdL1eSzGrQg1gTpf9cLgbOBy4dZJ/fRcTb\nyg7EzBqvTnnHzKyP5qgkSdoOeENEXD6C166IiIEnFaTkSpKkmcBXSW4U+05EnNNn+7bARcA0YAlw\nUkQMOhi/xo6hY4sZ+QJrr0j3he4Cbsgt4L2snpx/vq/2zvxfpeXbVfdkIOn2UsDsl4MdI+Km9Adv\nOZSRdwj6zCoxgrgKuLekrYCBztq68sehAuJQd/65loowrX11o0MYUD3yjhWnlNzDCuDmnJHln1to\n0qSv5C7jpJNyF8E3v7kydxnTphUwvPWzjZ8nqTyiie5J2o5kpL6XVZIkdURErkk8SzsrldQOXAC8\nhWSM9nmS5kTEfZndzgMujYhLJB0MfAF4d1kxmY1UT1TmZOX1ku4mmePg9MFHqBl9nHeslVQo79gQ\nnHusdZTf3S69IHwt8HvgDSRDkx8NTCf5HU0DVgH/FBF/lnQx8LOIuDp9fW8r0DnAzpLuAi4BlgJH\nAOOBiZKOIrlNYWNgDPDJiPhJrXGWeel+H+DBiHgYQNJskg8gmzB2Af41ffwb4MclxmM2YoFY05P7\nZGWqpPmZ57PSWa5rdSewbUSskHQ4ye9lh7xBtRjnHWsZBeUdqw/nHmshdelutwNwfET8k6QrgXcA\npwDvj4gHJO0LfAM4eJAyPkFywfhtAJJOBl4P7BERSyR1AMdExPOSpgK3phcvaupSUWYlaSvg8czz\nRcC+ffa5m+RD+SpwDDBJ0qYR8VyJcZkNW3JvQO5uiYsjYu+Rvjgins88nivpG5KmRsTivIG1EOcd\naxkF5R2rD+ceaxFigw0m5Cph9Wo6argo/EhE3JU+voOk69wbgKukF7tjjxvB4a+PiCXpYwH/LelN\nJGPhbAVsDvytloLKrCT11+G8b83tdOD8tOZ3E0lz28v6D0o6FTgVYHz7pGKjNKtBTzT+iq6kLYCn\nIyIk7QO0Af7PdX2l5J1x4z0cqtVfFfKO1ayU3AMbFBmj2ZAk2GKLfGU88ghdNVwUXpt53E1SeVkW\nEXv2s28XyTkPSmpQg109yt64diJJ173XRkSnpEdJuuLVpMxK0iJg68zzGST3UbwoIp4E3g4gaUPg\nHRGxvG9Bae1zFsDkcZt7Zj2ru3rcQC3pB8CBJN3yFgGfJulDS0R8CzgW+ICkLmA1cFytTcajSCl5\nZ9LkGf6cre48cENTKSX3SBs799iISXoncBawM7BPRMwf/BVJJWnq1HzHfeSRoffpx/PAI5LeGRFX\npZWhPSLibuBR4LXAlSTdWHsT4wvAYK0nk0mmVemUdBCw7XACKrOSNA/YQdL2JFdLjiMZgeJFaf/A\nJRHRA5xBMuqLWeX0INaWfEU3Io4fYvv5JEOE28Ccd6xl1CPvWGGce6yK7iWpmF9Y6wuKaEnK4UTg\nm5I+SVIRmk3STfXbwE8k3Q78ipdai+4ButIBrS4mGbgh6zLgp2nXv7uAPw8nmNIqSRHRJek04DqS\n4TAviogFks4G5kfEHJKr5l+QFCRNz608pqI1sfB8JU3BecdaifNO83DusSqKiPsBMvf4DKkelaSI\neBTYLfP8vMzmmf3s/zSwX2bVGen6TuCQPrtfnHndYpKBHPqLYdA5kqDkeZIiYi4wt8+6T2UeXw1c\nPawyOzro3iLfqBtRxPQcbfkLUXcBreg9+eda6tow/4zuncr/VVpX4bnLesJXdJtFGXkHoC3n7zUK\nmBatrYCU0d5RwHxNXfnzX9u63EX0fxfIMD3QuWn+QniqgDJerh55R9JFwNtIuqTs1s/2A0mG0O3t\nQPOjiDi71KCaVFm5J79hXTzv13bb5Y/iG59bMvROQ/jmNyfnLuOZj30xdxlnfSJ3EZXV4JakSvEl\nKrMaeCheM6u3OuWdi0m68V46yD6/6x1i18yqRdINQH/VmjNrnRMoO1hIe/vY3PcktQpXksxqkFzR\n9c/FzOqnHnknIm5KJ3Y0syYUEW8uoIwXBwsZN25iuCUp4bM+sxoEriSZWX1VKO+8Pr0x+kmSiRsX\nNDogMyuHu9u9pBLZ16zqArGuGicrZjZKFJR3ptYwqeNg7gS2jYgVkg4HfgzskDcoMyufpGOAr5PM\nFfRzSXdFxKGDv8aVpIyEN7YAABhUSURBVF4+6zOrQU+Itd3+uZhZ/RSUdxbXMKnjgCLi+czjuZK+\nIWlqOmqUmVVYRFwDXDOc1xQxT1Kr8FmfWQ0C3JJkZnVVhbwjaQvg6YgISfuQzHr/XEODMrPSSLDJ\nlAKGY20BPuszq0GEWNeTf6h0M7Na1SPvSPoByfw9UyUtAj5NOpt9RHwLOBb4gKQuYDVwXEQUMBi9\nmVVSBKxZ0+goKsGVJLMa9CDWdbuSZGb1U4+8ExHHD7H9fJIhws1stHAlCWjCSlJ0iDVTx+crpIjJ\nZItQwLW4vBNcAnROaMtdRk9H/g+1c2J1L05G4JakUUwBbetydj8oIO9EAZNYFxFHx/gCJpPtzF9G\nFDAx7sI103OXAfcWUMbLOe9Y0qi3Wc4yXpE7ij/9Kf+Eydo0fxkHHbRX7jL+9okWngm2KK4kASVX\nkiTNBL4KtAPfiYhz+mz/CnBQ+nQCsFlETCkzJrORCERXT/7KpJXPecdahfNOc3HusZbg7nYvKq2S\nJKkduAB4C7AImCdpTkTc17tPRPxrZv8PA68pKx6zPCKg01d0K895x1qJ807zcO6xluJKElBuS9I+\nwIMR8TCApNnA0cB9A+x/PMkNo2YVJLp8T1IzcN6xFuK800Sce6x1uJIElFtJ+v/bu/toOer6juPv\nz73JTSCEQAHlIYFwMOBRsNQGsNbTCoJEq0FLqYAiUTFSDeBRjzGNpRS1ReLDqULV6OHBVh4U6zFY\nhILioSjURMqzoEgDBCjyoEh4SHLv/faPmRuHy967s3d2ZndnP69z5mRnZ+a3v725+7nz2/nN77cH\n8EBmfQNwSKMdJe0F7A38sMT6mE1Z8o2uu730AOeO1YZzp6c4e6we3N1uqzIbSY3uyp3oLttjgcsi\nYqRhQdJSYCnAjJnuvmvVC8TwiE9WekA5uTPDuWPVc+70lFKyB7ZrR92sT0laBbwZ2Az8CnhXRPy2\n6YFuJAEtNJIkbQPsGRF35zxkAzAvsz4XeGiCfY8FPjBRQRGxGlgNMHvO3O4dAs1qKwJ3e+mQFrOn\nlNzZfnvnjlXPudM53XLOI73I2WNFXA2siIhhSZ8GVgDLmx7lRhKQzJzdlKQ3AzcDV6brB0pa0+Sw\ntcACSXtLGiIJhRccI2k/YEfghlYqblalQIyMDBRarHVTyB7njtWGc6czfM5jdRER/xkRw+nqjSSN\n9+aee67YUhN5rySdQXJT4o8AIuJmSfMnOyBttS4DriIZDvO8iLhD0pnAuogYC4/jgEs8g7d1tYDR\n0W6ZYKuvnEEL2ePcsVpx7nTKGficx+rn3cClTffyPUlb5W0kDUfEk1JrYR0RVwBXjHvu9HHrZ7RU\n5jSxeU6x7gfRJX9z1IaIVMH5LQG2bFv8BzK8TfEy1MV/MwL8rWxntJw9ZeQOo8Hgc8PN95usXi3m\nZ0PtmEy2DR+z6UPFPwuDm4rXIwaLv5lHtmxfvCIlce50TNec80ybtic77villuox3qOPnlbo+ETz\nc+vmtilcwrXXPlK4jAsKl9BdJF0D7Npg08qI+G66z0pgGPjGBGVsvQ9uaHDQjaRU3kbS7ZKOBwYl\nLQBOBX5SXrXMukxAjHRJ67q/OHusfzl3OsW5Yz0jIg6fbLukE4E3Aa+b6Apm9j64WTNmhBtJibyN\npFOAlcAm4GKSy8mfKKtSZl0nxKi/0e0EZ4/1L+dOpzh3rBYkLSIZqOHPI+KZXAe5u91WuRpJ6Q92\nJbAynVV6VkT4J2j9xfcGVM7ZY33PuVM5547VyDnADODqtPvojRFxctOj3EgCcjaSJF0EnAyMAD8D\n5kj6XESsKrNyZl3D3V46wtljfc250xHOHauLiHjJlA50IwnIOQQ48LKI+B3wFpKbEvcETiitVmZd\nSCMqtNiUOHusr5WdO5LOk/RrSbdPsF2SviDpHkm3Snpl299k93HuWP8a627nIcBz35M0XdJ0ksA4\nJyK2SO0Ym82sR4TADZ1OcPZY/6omdy4g6ZLz9Qm2vwFYkC6HAF9K/60z5471txo1dIrI20j6CrAe\nuAW4TtJewO/KqpRZ1wncSOoMZ4/1rwpyJyKuazIH0FHA19NRsW6UtIOk3SLi4VIr1lnOHetvbiQB\n+Qdu+ALwhcxT90k6tJwqmXWndsxJZa1x9li/64Lc2QN4ILO+IX2uto0k5471NY9ut9WkjSRJ74iI\nf5P0oQl2+VyT4xcB/0wy+/TXIuKscduXAKuAB9OnzomIr01W5ugAbJ7tb/S3asMf0JGZxX+eo0PF\n67H9r4qXUZrA9xVVqEj2lJE7Gg0Gnt2St/oTVazY8bRnQlqNtCE02vBRmLZj8aGtpz1VbGJxgG/9\nuB09xy5rQxkNtCd3dpa0LrO+Op0TJa9GFahl17NuPOd58Yvh1FPz1H5iy5e/ulgBANzYhjLacTHu\np4VLWFK8Eny5DWXsXPD4vF3BpsSNJKD5z3hW+u/sVgtOh808FziC5JuntZLWRMSd43a9NCKWtVq+\nWdU0UnL50nkkE779OiL2b7BdJH+A3wg8AyyJiJvKrVXHTCl7nDtWN23IncciYmGB4zcA8zLrc4GH\nilWpa/mcxwzcSEpN2kiKiK+k//7DFMo+GLgnIu4FkHQJSd/m8YFh1vVUzZWkC/AN1ECh7HHuWG1U\nlDvNrAGWpZ+lQ4An63o/ks95zHB3u4xc/R0kzZX0nXSY0EckfVvS3CaHTdSPebyj02FFL5M0r8F2\ns66gkWJLMxFxHfDEJLtsvYE6Im4EdpC0W3veXXeaQvY4d6xWys4dSRcDNwD7Sdog6T2STpY0NuHk\nFcC9wD3AV4H3l/RWu4bPeazveQhwIH+XxvOBi4Bj0vV3pM8dMckxefoxXw5cHBGb0kC+EDjsBQVJ\nS4GlANO32zFnlc3aKMrvbpdD391ATevZU0ruzJw+p/WamxVVQe5ExHFNtgfwgXJr0XW65pxnhx32\nbK3mZhmSPkHyBeso8GuSbvrNu8vWqKFTRN47Z3eJiPMjYjhdLgB2aXJM037MEfF4RGxKV78K/HGj\ngiJidUQsjIiF02bOarSLWek0WmwhvYE6syxttQoNnqvlDdQZrWZPKbkzNG3bqb8DswLakDvWuq45\n55k1q9nLmk1qVUS8IiIOBL4HnN70CE8mu1XeK0mPSXoHcHG6fhzweJNj1gILJO1NMpLLscDx2R3G\nzbWwGPh5zvqYVas93+j6BurWtZo9zh2rj+64gt2PfM5jtRAR2SEFZ5H3i9UaNXSKyNtIejfJDeWf\nJ/kB/yR9bkIRMSxpGXAVyXCY50XEHZLOBNZFxBrgVEmLgWGSezGWTOldmJVMAQOdP1npmxuoM1rK\nHueO1UmX5E4/8jmP1YakTwHvBJ4E8s331aFGUvp5uS4irplg+xJgYVUjROadTPZ+km89WhIRV5Dc\n9Jl97vTM4xXAipbKHIAt23Z8tJ+u0Y7uFCMzipcRbRiw/9kXdfn/a8ldV9IbqF9L0i1vA/D3wHSA\niPgyyWfpjSQ3UD8DvKvcGnXeVLKnjNxhdBQ9s6n5fiXTQPG5hdhcfG4hRov38hzaOL1wGdGGtxIz\nu7wV4i5zleumc545c2DRolZr8nzLlze7CJZH0Vl9ANowoSIvK1zCRs5rQz2Ke6zg8cPpv5KuAXZt\nsMvKiPhuRKwEVkpaASwjObd4nux9cEPQsUZS9vPSDZpNJjtZZSMiPtHm+ph1J99AXSlnjxnublcx\n5471oog4POeuFwH/QYNGUjrB9GqAWVKU3UiSNB/4PnA98GqSLqpHkUxt8r2IuEzSQSRzQ84CNgGv\nSw/fXdKVwD7AdyLio2mZrwf+AZgB/Ap4V0RsLFLPZt//P93guVnAe4CdAAeG9Q13e6mUs8cM507F\nnDtWK5IWRMQv09XFwF25DqzmStIC4LiIeK+kbwJHj22QNARcCrwtItZK2h54Nt18IPBHJA2nuyV9\nMd32ceDwiHha0nLgQ8CZRSrYbDLZz2YqPBs4jaSLzyXAZyc6zqxuFB4pqkrOHjPnTtWcO1ZDZ0na\nj6Tj7n3AyU32ByC2bCn6utMkrcusr06vVmX9b0TcnD7+GTA/s20/4OGIWAu/H4BCEsAPIuLJdP1O\nYC9gB5K+mD9O9xkimf+t2JtotoOkPyBpjb2dZEz/V0bEb4q+sFmvcbeXajl7zJw7VXPuWJ1ExNHN\n93qh4ea7NC0ix2i+2Rt9R4BtMuti4pH4xh83Ld3/6ma3LbSq2T1Jq4C/JOmneEDRvn1mPcv3BlTK\n2WOGc6dizh2zpGXShkZSUXeR3Ht0UNrdbja/727XyI3AuZJeEhH3SNoWmBsRvyhSiWZXkj5M0mL7\nOMnIGGPPi+Qmxu2LvLhZL/G9AZVy9pjh3KmYc8eMzjeSImKzpLcBX5S0DUkDacIBKiLi0XR48Isl\njY3Z/HGgvEZSRLRhvFmz3id/o1spZ4+Zc6dqzh2zRNmNpIhYD+yfWf9Mg33WAq8a9/QF6TK2z5sy\nj38IHNTOerZhdhuzPhCgkeJzw5iZ5ebcMbMO6PSVpG5RaiNJ0iKSMc4Hga9FxFnjtp9MMu/LCLAR\nWBoRd05a6ACMFpz8NLp8ztJWqA1/P0fbMSFjG8q4/KSzC5exb6HBHifnbi+9oZTcGR1FG58pp8Kt\nGGzDB22w+Jflg8PFPwwzflt8FuuBzcUnpL150TmFy5hTuISJOXd6RxnZ84tfwJFHFq1ZO36JbmtD\nGbu1oYw1hUt45eziJ04feqpGJ5INuJGUKO3SsqRB4FzgDSTD8h0nafxUyRdFxAERcSBwNvC5supj\nVkja7aXIYuVz7litOHd6hrPH6mS44FIXZfa/PRi4JyLujYjNJPMMHJXdYWzc89QsJh7uz6yjBAyM\nRKHFKuHcsdqoKnckLZJ0t6R7JH2swfYlkh6VdHO6nNTu91oDzh6rhbHR7dxIKre73R7AA5n1DcAh\n43eS9AGSOQmGgMNKrI/Z1AWoTp/8+nLuWH1UkDuZKyBHkHxe1kpa06Ab2KURsazc2vQ0Z4/Vhk93\nEmVeSWrUYfMF35pExLkRsQ+wnGS4vhcWJC2VtE7SupFnnm5zNc1yCF9J6hGl5M7m0cmmZzArSTW5\n0/QKiOVSSvaMjj7a5mqaNecrSYkyG0kbgHmZ9bnAQ5PsfwnwlkYbImJ1RCyMiIWD285qYxXN8lEE\nGim2WCVKyZ2hgW0a7WJWqopyp9EVkD0a7He0pFslXSZpXoPt/a6U7BkY2KWNVbR+JekjkkLSznn2\ndyMpUWYjaS2wQNLekoaAYxk3LImkBZnVvwB+WWJ9zAoZGCm2WCWcO1YrbcidnceuSqTL0nEvkecK\nyOXA/Ih4BXANcGHb32jvc/ZYV0q/1DgCuD/vMW4kJUq7JykihiUtA64iGQ7zvIi4Q9KZwLqIWAMs\nk3Q4sAX4DXBiWfUxKyRAw74a1O2cO1Yr7cmdxyJi4STbm14BiYjHM6tfBT5dtFJ14+yxLvZ54KPA\nd/MeUKeGThGlzpMUEVcAV4x77vTM49PKfH2ztvGkjj3DuWO1UU3ubL0CAjxIcgXk+OwOknaLiIfT\n1cXAz8uuVC9y9li3kbQYeDAibpHyz+3kRlKi1EZSGUIwUnz+QMvqkjnR9pm+XaerMCEBA8Ojna6G\ndcrIKKMbOz9oTCt/5CY00IYynis+EeyMbYYKlzH47A6Fy9huYGbhMspSRe7kvAJyanqyNQw8ASwp\ntVK21U47wQknFCvjrrtOKVyPyy9vx2SyDzffpanin9ennvpsG+rRPSRdA+zaYNNK4G+B1+coYymw\nFJKGgRtJiZ5rJJl1RHjwBTOrWEW5k+MKyApgRekVMbOWRcThjZ6XdACwNzB2FWkucJOkgyPi/8aV\nsRpYDTBTCjeSEm4kmeURIF9JMrMqOXfMbIoi4jbgRWPrktYDCyPisWbHupGUcCPJLCeN+GTFzKrl\n3DGzqrmRlHAjySwHRfgbXTOrlHPHzNolIubn3deNpIQbSWZ5uNuLmVXNuWNmHeBGUsKNJLM8ImDE\nM8KaWYWcO2ZWscCNpDFuJJnl5NHtzKxqzh0zq5obSYmebCTFYMECumReILrlb1+X/Dx+M/JMp6sw\nsQgY9je6/SpGRxl96qlOV6M92jDXkgaLhjAMbN5SuIzdr9+mcBlb3tfFn2vnTt975JH1rFr1noKl\n/FUbavLWNpTxX4VLuPDCfyxcxoknXly4jLpzIykxUGbhkhZJulvSPZI+1mD7n0m6SdKwpHZ8is3K\nESQnK0UWq4Rzx2rDudNTnD1WF8MFl7oo7UqSpEHgXOAIYAOwVtKaiLgzs9v9JDN3f6Ssepi1RQQM\n1+mjX0/OHasV507PcPZYnTh1EmV2tzsYuCci7gWQdAlwFLA1MCJifbrNw/dYl/MN1D3CuWM14tzp\nIc4eqw03khJlNpL2AB7IrG8ADplKQZKWAksBps3ZsXjNzFoV+Bvd3lBK7sxk2+I1M2uVc6eXlJI9\nMKtovcxa4tHtfq/Me5Ia3R08paEKImJ1RCyMiIWD2zowrAMiiC3DhZZmcvRnXyLpUUk3p8tJpbzX\n3lZK7kxnRsFqmU1BBbljbVNK9sDMgtWyfibpDEkPZs4b3pjnON+TlCjzStIGYF5mfS7wUImvZ1ae\nku8NyNmfHeDSiFhWWkV6n3PH6sP3JPUSZ491q89HxGdaOcCpkyizkbQWWCBpb+BB4Fjg+BJfz6w8\n6Te6JWran91yce5YfZSfO9Y+zh6rDadOorTudhExDCwDrgJ+DnwzIu6QdKakxQCSDpK0ATgG+Iqk\nO8qqj1kREUEMbym0NNGoP/seDfY7WtKtki6TNK/B9r7m3LE6qSB3rE2cPdbFlqXnDedJynVjv7vb\nJRTRLTOa5iPpUeC+JrvtDDxWQXW6vQ7Qf/XYKyJ2aXehkq4keQ9FzASey6yvjojVafnHAEdGxEnp\n+gnAwRFxSqYOOwEbI2KTpJOBv46IwwrWyXLoodwB12O8KurRzbnzWEQsakd9rHo5sqefPmd59FM9\n9oqIXSRdA+zaYPtK4Ma0HgF8AtgtIt49fsfnDxbCgcCmgnWbHhFDBcvouJ5rJOUhaV1yw2N/18H1\n6B2S/gQ4IyKOTNdXAETEP02w/yDwRETMqa6WNplu+R13PbqzHmZl6Jbfb9ejO+uRJWk+8L2I2L/D\nVekZZY5uZ2b5be3PLmmIpD/7muwOknbLrC4m6dJhZmZm9gLjzhveCtzeqbr0ojIHbjCznCJiWNJY\nf/ZB4Lyx/uzAuohYA5ya9m0fBp4gmbndzMzMrJGzJR1I0t1uPfC+zlant9T1StLqTlcAaHo5U9IH\nJZU9S+W/Snp/5jV3l3RZya/ZSDf8n3S1iLgiIvaNiH0i4lPpc6enDSQiYkVEvDwi/jAiDo2Iuzpb\nYxun47/jkjY2q0cVuSNpB+DuzHqncge64P/FrEQd//127jTU8f8XgIg4ISIOiIhXRMTiiHi403Xq\nJbW8J6kbSNoYEds12Wc9sDAict/cJ2kwIkZa2H8+7oNq1hecO2ZWNeeO1VVdryR1DUmvlfSjdMjm\nuyR9Q4lTgd2BayVdm+77ekk3SLpJ0rckbZc+v17S6ZKuB46R9F5JayXdIunbY9/OSHqxpO+kz98i\n6dXAWcA+6UzLqyTNl3R7uv9MSedLuk3S/0g6NH1+iaR/l3SlpF9KOrsDPzozmyLnjplVzbljtRMR\nXkpYSIZqBngt8CTJ7NsDwA3Aa9Jt64Gd08c7A9cBs9L15cDpmf0+mil7p8zjTwKnpI8vBT6YPh4E\n5gDzgdsz+29dBz4MnJ8+filwP8kw1UuAe9PjZ5IMPzqv0z9TL168TL44d7x48VL14tzxUtfFAzdU\n46cRsQFA0s0kH9zrx+3zKuBlwI8lAQyRBMyYSzOP95f0SWAHYDuSm/0BDgPeCRDJJeonNfnEYa8B\nvpjuf5ek+4B9020/iIgn0zrfCezF8yc7NbPu5twxs6o5d6w23EiqRnZSrhEa/9wFXB0Rx01QxtOZ\nxxcAb4mIWyQtIfn2Zio0ybY8dTaz7uXcMbOqOXesNnxPUmc9BcxOH98I/KmklwBI2lbSvhMcNxt4\nWNJ04O2Z538A/E16/KCk7ce9xnjXjR2fvtaeZEaGMbNacu6YWdWcO9Zz3EjqrNXA9yVdGxGPkvSN\nvVjSrSQh8tIJjvs74L+Bq4HsMNCnAYdKug34GfDyiHic5JL27ZJWjSvnX4DBdP9LgSURsQkzqzPn\njplVzbljPcdDgJuZmZmZmWX4SpKZmZmZmVmGG0lmZmZmZmYZbiSZmZmZmZlluJFkZmZmZmaW4UaS\nmZmZmZlZhhtJZmZmZmZmGW4kmZmZmZmZZbiRZGZmZmZmlvH/H5WIA9mtCyAAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 10.\n" ] }, { "data": { "image/png": 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T0ZMyT1JnJfdEkMftOix5JyItSVXTtSTdP8G6jYA3Ao8BkjBijjCjI927WpH0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\nrIUrSWZmZmZmZi1cSTIzMzMzM2vxf+MS6qwtFuoBAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 100.\n" ] }, { "data": { "image/png": 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M1lpHdUzVkvQPwCrgXcA7KzOTiGIQ44YNxhbRM9q0TtJmkpZV3i+xvWTsjaRz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\n4/8BYJdfxKZGWOEAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1500x700 with 13 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ma in ['0.01', '0.1', '1', '10', '100']: \n", " \n", " print(\"The mean abundance of the species is %s.\" % ma)\n", " \n", " folder = ''\n", " plot_overview('KullbackLeibler/Langevinlinear/Langevinlinear-' + ma + '-%s-%d.csv', range(8))\n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The mean abundance of the species is 31.6.\n" ] }, { "data": { "image/png": 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j0ch3LXrP196ZO4bRxPBmpj392FxlbL72s+Nd72z/eREPSroCWAxMngqNWUcEUMBdnXGs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\n7eXAWcARkm4Bjkifm5nVUtZJAQbSJul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"text/plain": [ "<Figure size 1500x700 with 10 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ma in ['31.6']: #'10', '17.8', '31.6', '56.2', '100']: #['0.01', '0.1', '1', '10', '20', '50', '100']:\n", " \n", " print(\"The mean abundance of the species is %s.\" % ma)\n", " \n", " plot_overview('KullbackLeibler/Langevinlinear/Langevinlinear-' + ma + '-%s-%d.csv', [1]) #range(5))\n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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4UccjvKTpQnqNfkSgc3yQD/7sK9zUCuNpcNXjsc7dbC/3IzhtDZNJj4KVv7E9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\nkz4DQBj4kqoO+joTAfNOYNQDAurDx3CN7dgs+h+AvxORw0ASuA34jIi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"text/plain": [ "<Figure size 551.181x250 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#sizes = ['0.01', '0.0316', '0.1', '0.178', '0.316', '0.562', '1', \n", "# '1.78', '3.16', '5.62', '10', '17.8', '31.6', '56.2', '100']\n", "#sizes_f = [float(size) for size in sizes]\n", "\n", "sizes = ['0.01', '0.0316', '0.1', '0.178', '0.562', '1', '3.16', '5.62', '10', '31.6','100']\n", "sizes_f = np.array([float(size) for size in sizes])\n", "\n", "fig = plt.figure(figsize = (textwidth,2.5))\n", "\n", "gs = gridspec.GridSpec(1, 3, width_ratios=[7,7,1], wspace=0.7, bottom=0.15, right=0.85, left=0.1, top=0.95)\n", "\n", "ax_KL = fig.add_subplot(gs[0])\n", "ax_NCT = fig.add_subplot(gs[1])\n", "ax_clb = fig.add_subplot(gs[2])\n", "\n", "norm = matplotlib.colors.Normalize(vmin=0, vmax=0.21, clip=True)\n", "mapper = cm.ScalarMappable(norm=norm, cmap='summer')\n", "\n", "for selfint in [0.8, 1]:\n", " for i, ma in enumerate(sizes):\n", " if selfint == 0.5:\n", " file = 'KullbackLeibler/Langlin_selfint0.5/KL_' + ma + '.csv'\n", "\n", " data = pd.read_csv(file, index_col=0)\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " KL = np.nanmean(d, axis=1)\n", " KLe = np.nanstd(d, axis=1)\n", "\n", " file = 'KullbackLeibler/Langlin_selfint0.5/NCT_' + ma + '.csv'\n", "\n", " data = pd.read_csv(file, index_col=0)\n", "\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " NCT = np.nanmedian(d, axis=1)\n", " NCTe = np.nanstd(d, axis=1)\n", " elif selfint == 0.8:\n", " file = 'KullbackLeibler/Langlin_selfint0.8/KL_' + ma + '.csv'\n", "\n", " data = pd.read_csv(file, index_col=0)\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " KL = np.nanmean(d, axis=1)\n", " KLe = np.nanstd(d, axis=1)\n", "\n", " file = 'KullbackLeibler/Langlin_selfint0.5/NCT_' + ma + '.csv'\n", "\n", " data = pd.read_csv(file, index_col=0)\n", "\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " NCT = np.nanmedian(d, axis=1)\n", " NCTe = np.nanstd(d, axis=1)\n", " elif selfint == 1:\n", " file = 'KullbackLeibler/Langevinlinear/Langevinlinear-' + ma + '-KL-%d.csv'\n", "\n", " num = [0] #np.arange(10)\n", "\n", " data = pd.DataFrame( np.nanmean(\n", " [pd.read_csv(file % iii, index_col=0).values \n", " for iii in num], axis=0),\n", " columns = pd.read_csv(file % num[0], index_col=0).columns,\n", " index = pd.read_csv(file % num[0], index_col=0).index)\n", "\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " KL = np.nanmean(d, axis=1)\n", " KLe = np.nanstd(d, axis=1)\n", "\n", " file = 'KullbackLeibler/Langevinlinear/Langevinlinear-' + ma + '-NCT-%d.csv'\n", "\n", " data = pd.DataFrame( np.nanmean(\n", " [pd.read_csv(file % iii, index_col=0).values \n", " for iii in num], axis=0),\n", " columns = pd.read_csv(file % num[0], index_col=0).columns,\n", " index = pd.read_csv(file % num[0], index_col=0).index)\n", "\n", " d = data.values; d[np.isinf(d)] = np.nan;\n", "\n", " NCT = np.nanmedian(d, axis=1)\n", " NCTe = np.nanstd(d, axis=1)\n", "\n", " if i == 0:\n", " interaction = data.index.astype('float')\n", " KLs = np.copy(KL)\n", " KLes = np.copy(KLe)\n", " NCTs = np.copy(NCT)\n", " NCTes = np.copy(NCTe)\n", " else:\n", " KLs = np.vstack((KLs, KL))\n", " KLes = np.vstack((KLes, KLe))\n", " NCTs = np.vstack((NCTs, NCT))\n", " NCTes = np.vstack((NCTes, NCTe))\n", "\n", " minNCT = 1e-5\n", " NCTs[NCTs < minNCT] = minNCT\n", "\n", " colors = np.array([(mapper.to_rgba(v)) for v in interaction])\n", " for i in range(len(interaction)):\n", " if selfint == 0.5:\n", " ls = ':o'\n", " elif selfint == 1:\n", " ls = '-o'\n", " elif selfint == 0.8:\n", " ls = '-.o'\n", " \n", " ax_KL.plot(selfint*sizes_f, np.log10(KLs[:,i]), ls, c=colors[i])\n", " ax_NCT.plot(selfint*sizes_f, np.log10(NCTs[:,i]), ls, c=colors[i])\n", " scat = ax_NCT.scatter(selfint*sizes_f, np.log10(NCTs[:,i]), c= np.full_like(sizes_f, interaction[i]), s = 0.01, cmap='summer', vmin=0, vmax= 0.21)\n", "\n", "vmin = -1; vmax = 4\n", "x = np.linspace(vmin, vmax, 500).reshape([500,1])\n", "ax_KL.imshow(x, cmap='Blues', vmin=vmin, vmax=vmax, extent=(5e-4, 3e2, vmin, vmax), aspect='auto', alpha=0.75)\n", "\n", "ax_KL.set_xscale('log')\n", "ax_KL.set_ylabel(r'Log$_{10}$(Kullback Leibler divergence)')\n", "#ax_KL.set_xlabel('Mean abundance')\n", "ax_KL.set_ylim([vmax, vmin])\n", "bds = np.arange(-0.015,0.23,0.03)\n", "\n", "vmin = -5.5; vmax = 0.5 # vmax higher than zero otherwis points glued to upper boundary\n", "x = np.linspace(vmin, vmax, 500).reshape([500,1])\n", "norm = PiecewiseNormalize([vmin, vmax - (np.log10(0.05) - vmin), vmax], [0, 0.5, 1])\n", "ax_NCT.imshow(x, norm = norm, cmap='seismic', vmin = vmin, vmax= vmax, extent=(5e-4, 3e2, vmin, vmax), aspect='auto', alpha=0.75)\n", "\n", "#plt.yscale('log')\n", "ax_NCT.set_xscale('log')\n", "ax_NCT.set_ylabel(r'Log$_{10}(p_{NCT})$')\n", "ax_NCT.set_xlabel(r'Mean abundance', ha='right', x=1)\n", "ax_NCT.set_ylim([vmin, vmax])\n", "bds = np.arange(-0.015,0.23,0.03)\n", "\n", "ticks = np.arange(np.log10(minNCT), vmax,1)\n", "ticklabels = [str(tick) if tick > np.log10(minNCT) else r'$\\leq$%.1f' % np.log10(minNCT) for tick in ticks]\n", "ax_NCT.set_yticks(ticks)\n", "ax_NCT.set_yticklabels(ticklabels)\n", "ax_NCT.axhline(y=np.log10(1.5*minNCT), linestyle=':', c='k')\n", "\n", "ax_NCT2 = ax_NCT.twinx()\n", "ax_NCT.yaxis.set_ticks_position('left')\n", "ax_NCT2.yaxis.set_ticks_position('right')\n", "vmax = 0 # centralize the neutral niche labels\n", "ax_NCT2.yaxis.set_ticks([1+(vmin + np.log10(0.05))/(vmax - vmin)/2,\n", " 1+(vmax + np.log10(0.05))/(vmax - vmin)/2])\n", "ax_NCT2.set_ylim([0,1])\n", "ax_NCT2.yaxis.set_ticklabels(['niche','neutral'])\n", "\n", "fig.colorbar(scat, boundaries=bds, ticks=interaction, label=r'Interaction strength $\\alpha$', ax=ax_NCT, cax=ax_clb)\n", "\n", "#plt.savefig('figures/neutral_niche_gLV.pdf')\n", "plt.savefig('figures_elife/supplemental/neutral_niche_gLV2.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "200.620101213 105.989419603 94.6306816095\n", "105.989419603 105.989419603 0.0\n", "109.945589951 105.989419603 3.95617034709\n", "104.683358011 105.989419603 1.30606159201\n", "205.989517129 105.989419603 100.000097526\n", "200.620101213 105.989419603 94.6306816095\n", "101.608226155 105.989419603 4.38119344798\n", "125.916822744" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:11: RuntimeWarning: divide by zero encountered in log10\n", "/Users/wkits/anaconda/lib/python3.5/site-packages/matplotlib/colors.py:496: RuntimeWarning: invalid value encountered in less\n", " xa[xa < 0] = -1\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " 105.989419603 19.9274031405\n" ] }, { "data": { "image/png": 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SxEtP3ci8J29k8ycrufLb259KaNhWDeD3SIhhGBmLzyOs9wL/BH4LxB5ta1S1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LVBw23R2UJeSPOCbTErzJH5hjN5D5RRSMnoFEgv5o0c3vhPEZ9ITXSgbs1ucxVxj3kdy5yYHc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"text/plain": [ "<Figure size 1500x1500 with 32 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_neutralities(df, ax, colors='KL'):\n", " if colors == 'KL':\n", " vmin = -1; vmax = 4\n", " cmap='Blues_r'\n", " norm = None\n", " elif colors == 'NCT':\n", " vmin = -5.5; vmax = 0.5\n", " norm = PiecewiseNormalize([vmin, vmax - (np.log10(0.05) - vmin), vmax], [0, 0.5, 1])\n", " cmap='coolwarm_r'\n", " \n", " ax.matshow(np.log10(df.T), norm=norm, cmap=cmap, vmin=vmin, vmax=vmax)\n", "\n", " #plt.colorbar()\n", "\n", " xmin = min(df.index.astype(float)); xmax = max(df.index.astype(float));\n", " N = 5\n", " ax.set_xticks(np.linspace(0, int(df.shape[0]-1), N))\n", " ax.set_xticklabels(['%.1E' % i for i in \n", " np.logspace(np.log10(xmin), np.log10(xmax), N)])\n", "\n", " skiplabel = int(df.shape[1] / 6)\n", " ax.set_yticks(range(0, df.shape[1], (skiplabel+1)))\n", " ax.set_yticklabels(['%.2f' % i for i in df.columns.astype(float)][::(skiplabel+1)])\n", " ax.set_xlabel(r'Mean abudance $\\times$ self-interaction')\n", " ax.set_ylabel(r'Interaction strength $\\alpha$')\n", "\n", "fig = plt.figure(figsize=(15,15))\n", "\n", "for i, f in enumerate(['test/KL_fig19_0.01.csv', \n", " 'test/KL_fig19_0.1.csv', \n", " 'test/KL_fig19_0.1b.csv', \n", " 'test/KL_fig19_0.1c.csv', \n", " 'test/KL_fig19_0.5.csv', \n", " 'test/KL_fig19_0.01.csv',\n", " 'test/KL_fig19_si_0.1.csv',\n", " 'test/KL_fig19_si_10.csv',]):\n", " ax = fig.add_subplot(8,4,(4*i)+1)\n", " df = pd.read_csv(f, index_col=0)\n", " plot_neutralities(df, ax, colors='KL')\n", " ax = fig.add_subplot(8,4,(4*i)+2)\n", " df = np.abs(pd.read_csv(f, index_col=0) - pd.read_csv('test/KL_fig19_0.1.csv', index_col=0))\n", " plot_neutralities(df, ax, colors='KL')\n", " print(pd.read_csv(f, index_col=0).values[0,-1],\n", " pd.read_csv('test/KL_fig19_0.1.csv', index_col=0).values[0,-1],\n", " df.values[0,-1])\n", "for i, f in enumerate(['test/NCT_fig19_0.01.csv', \n", " 'test/NCT_fig19_0.1.csv', \n", " 'test/NCT_fig19_0.1b.csv', \n", " 'test/NCT_fig19_0.1c.csv', \n", " 'test/NCT_fig19_0.5.csv', \n", " 'test/NCT_fig19_0.01.csv',\n", " 'test/NCT_fig19_si_0.1.csv',\n", " 'test/NCT_fig19_si_10.csv',]):\n", " ax = fig.add_subplot(8,4,(4*i)+3)\n", " df = pd.read_csv(f, index_col=0)\n", " plot_neutralities(df, ax, colors='NCT')\n", " ax = fig.add_subplot(8,4,(4*i)+4)\n", " df = np.abs(pd.read_csv(f, index_col=0) - pd.read_csv('test/NCT_fig19_0.1.csv', index_col=0))\n", " plot_neutralities(df, ax, colors='NCT')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Results for dt = 0.01, tskip = 49 and T = 100 (like the simulations for the other parts of the paper) -> sampling 0.5 " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CVT test: number of timepoints: 200, number of species: 50\n", "KL 3.79660403007 NCT 0.22812006951\n", "[1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01 1.20E+01\n", " 1.20E+01 1.20E+01]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/wkits/anaconda/lib/python3.5/site-packages/matplotlib/figure.py:2362: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", " warnings.warn(\"This figure includes Axes that are not compatible \"\n" ] }, { "data": { "image/png": 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KQehI4SH4RMLjVxy5D6xOGkTAZwJeyC0xm6+R8IDw302mIMqgz7ltKU4eKpIp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\nBNO2YqFVR5tVT1Q5b9TV6jtuTsHZNjVMpbtJHTWZpdg/1ap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"text/plain": [ "<Figure size 300x250 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# check validity of neutrality figure by looking at timeseries\n", "\n", "ma = 10\n", "S = 50\n", " \n", "alpha = 0 \n", "omega = 0.1\n", " \n", "params = {}\n", "\n", "steadystate = np.repeat(float(ma), S).reshape([S,1]) \n", " \n", "params['initial_condition'] = steadystate * np.random.normal(1,0.1, steadystate.shape)\n", " \n", "# interaction\n", "if alpha == 0:\n", " intmat = np.zeros([S,S])\n", "else:\n", " intmat = np.random.normal(0, sigma, [S,S])\n", "np.fill_diagonal(intmat, -1.2)\n", "params['interaction_matrix'] = intmat\n", "\n", "# no immigration\n", "params['immigration_rate'] = np.zeros([S, 1])\n", "\n", "# growthrates determined by the steady state\n", "params['growth_rate'] = - intmat.dot(steadystate).reshape([S,1])\n", "\n", "params['noise_linear'] = omega\n", "\n", "params['initial_condition'] = Timeseries(params, model = MODEL.GLV, \n", " noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt=0.01, T=10, tskip = 49).endpoint\n", "\n", "ts = Timeseries(params, model = MODEL.GLV, noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt=0.01, T=100, tskip = 49).timeseries\n", "\n", "PlotTimeseriesComparison([ts], composition=['ts'])\n", "\n", "if ts.isnull().values.sum().sum() == 0 and np.all(ts.drop('time', axis=1).sum(axis=1) > 0): # no NAN values and not all species die\n", " KL = KullbackLeibler_neutrality(ts)\n", " norm_ts = ts.values[:, 1:]\n", " norm_ts /= norm_ts.sum(axis=1, keepdims=True)\n", " NCT = neutral_covariance_test(norm_ts, ntests=500, method = 'Kolmogorov', seed=56)\n", "else:\n", " KL = np.nan; NCT = np.nan\n", "\n", "print(\"KL\", KL, \"NCT\", NCT)\n", "print(params['growth_rate'].flatten())" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.figure()\n", "\n", "sigmas = [0,0.09,0.21] # mean interaction strength\n", "omegas = [0.01, 0.4, 1.0] # noise\n", "Ss = ['0.01', '1', '100']\n", "spec = ['species_1', 'species_22', 'species_47']\n", "\n", "for S in Ss:\n", " for i, sigma in enumerate(sigmas):\n", " print(sigma)\n", " for j, omega in enumerate(omegas):\n", " f = \"KullbackLeibler/Langevinlinear/LV-%s-%.2f-%.2f.csv\" % (S, sigma, omega)\n", "\n", " ts = pd.read_csv(f, index_col=0, na_values='NAN')\n", " \n", " ns = noise_slope(ts)['slope_linear']\n", " \n", " plt.scatter(np.mean(ts[spec], axis=0), ns.loc[spec])\n", "\n", "plt.xscale('log')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "S = 50\n", "\n", "initcond = 50*np.ones([S,1])\n", "\n", "intmat = np.random.normal(0,0.05,[S,S])\n", "np.fill_diagonal(intmat, -1)\n", "\n", "# no immigration\n", "mu = 0*np.ones([S, 1])\n", "\n", "# growthrates determined by the steady state\n", "K = - intmat.dot(initcond).reshape([S,1])\n", "\n", "initcond = np.random.normal(1,0.1,initcond.shape)*initcond\n", "\n", "var = intmat, mu, K, initcond\n", "\n", "ts = run_timeseries_noise(var, noise=0.2, f=0, model = MODEL.GLV,\n", " noise_implementation = NOISE.LANGEVIN_LINEAR,\n", " dt=0.01, T=500, tskip = 49)\n", " \n" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.29558444838\n" ] } ], "source": [ "print(neutral_covariance_test(normalize(ts.T), ntests=500, method='Kolmogorov'))\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Scale invariance\n", "\n", "Can timeseries with sqrt noise be rescaled?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Nspecies = 1\n", "\n", "params = {}\n", "\n", "steadystate = 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 growthrates determined by the steady state\n", "params['growthrate'] = - (omega).dot(steadystate)\n", "\n", "params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n", "\n", "params['noise_linear'] = 0\n", "params['noise_sqrt'] = 0.2\n", "\n", "ts = run_timeseries_noise(params, noise_implementation = NOISE.LANGEVIN_LINEAR_SQRT, \n", " dt = 0.01, tskip=19, T=50.0, seed=int(time.time()))\n", "\n", "fig = plt.figure(figsize=(40/2.54,7/2.54), tight_layout=True)\n", "\n", "plot_timeseries_comparison([ts], composition=['ts'], vertical=False, fig=fig)\n", "\n" ] } ], "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" }, 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