From edeb833fdaf05b5d4291f6243b56c600b992e05d Mon Sep 17 00:00:00 2001 From: Bethany Lusch <9046040+BethanyL@users.noreply.github.com> Date: Wed, 2 Jan 2019 14:57:42 -0600 Subject: [PATCH] add notebook for discrete spectrum example --- .../BestModel-DiscreteSpectrumExample.ipynb | 1609 +++++++++++++++++ .../DiscreteSpectrumExampleTrajs.csv | 20 + 2 files changed, 1629 insertions(+) create mode 100644 postprocessing/BestModel-DiscreteSpectrumExample.ipynb create mode 100644 postprocessing/DiscreteSpectrumExampleTrajs.csv diff --git a/postprocessing/BestModel-DiscreteSpectrumExample.ipynb b/postprocessing/BestModel-DiscreteSpectrumExample.ipynb new file mode 100644 index 0000000..0d49c64 --- /dev/null +++ b/postprocessing/BestModel-DiscreteSpectrumExample.ipynb @@ -0,0 +1,1609 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "this extension makes it easy to reload the imports without restarting the whole notebook" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "run this cell if you want to reload the imports (i.e. you changed notebookfns.py)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "%autoreload" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# these are all standard Python modules\n", + "import glob\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import re\n", + "import pickle" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# this is my notebookfns.py file\n", + "import notebookfns as n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "font = {'family' : 'normal',\n", + " 'size' : 15}\n", + "\n", + "plt.rc('font', **font)\n", + "plt.rc('lines', linewidth=3)\n", + "plt.rc('axes', linewidth=3)\n", + "plt.rc('xtick.major', size=10)\n", + "plt.rc('ytick.major', size=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "note that these errors include the weights alpha_1, alpha_2, alpha_3\n", + "red is training error, blue is validation error\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/blusch/Documents/DeepKoopmanResults/notebookfns.py:10: RuntimeWarning: divide by zero encountered in log10\n", + " errors[:, j] = np.log10(errors[:, j])\n", + "/usr/local/lib/python3.7/site-packages/matplotlib/font_manager.py:1241: UserWarning: findfont: Font family ['normal'] not found. Falling back to DejaVu Sans.\n", + " (prop.get_family(), self.defaultFamily[fontext]))\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# You can change this filename to point to the pickle file for your model.\n", + "# Later code loads the related files (i.e. weights & biases) by changing the end of the filename\n", + "fname = './DiscreteSpectrumExample/DiscreteSpectrumExample2_2018_02_28_01_35_16_640980_model.pkl'\n", + "errors = np.loadtxt(fname.replace('model.pkl','error.csv'),delimiter=',')\n", + "n.PlotErrors(errors, range(0,16))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# you may need the encoding part if you save the pickle file in Python 2 and load it in Python 3 \n", + "with open(fname, 'rb') as f:\n", + " params = pickle.load(f, encoding='latin1')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "validation error: 1.43E-07\n" + ] + } + ], + "source": [ + "print('validation error: %.2E' % params['minTest'])" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We had 1 files of training data.\n", + "Length of trajectories: 51 steps (goes in Table 2)\n", + "Batch size: 256 (goes in Table 2)\n", + "delta_t (time stepping in data): 0.020\n", + "Time span is array([0. , 0.02, 0.04, 0.06, 0.08, 0.1 , 0.12, 0.14, 0.16, 0.18, 0.2 ,\n", + " 0.22, 0.24, 0.26, 0.28, 0.3 , 0.32, 0.34, 0.36, 0.38, 0.4 , 0.42,\n", + " 0.44, 0.46, 0.48, 0.5 , 0.52, 0.54, 0.56, 0.58, 0.6 , 0.62, 0.64,\n", + " 0.66, 0.68, 0.7 , 0.72, 0.74, 0.76, 0.78, 0.8 , 0.82, 0.84, 0.86,\n", + " 0.88, 0.9 , 0.92, 0.94, 0.96, 0.98, 1. ])\n" + ] + } + ], + "source": [ + "print('We had %d files of training data.' % params['data_train_len'])\n", + "print('Length of trajectories: %d steps (goes in Table 2)' % params['len_time'])\n", + "print('Batch size: %d (goes in Table 2)' % params['batch_size'])\n", + "deltat = params['delta_t']\n", + "print('delta_t (time stepping in data): %.3f' % deltat)\n", + "T = deltat*(params['len_time']-1)\n", + "tSpan = np.linspace(start=0,stop=T,num=params['len_time'],endpoint=True)\n", + "print(\"Time span is %r\" % tSpan)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For Table 4:\n", + "log10 of alpha_1 (the weight on losses involving reconstruction): -1.0\n", + "log10 of alpha_2 (the weight on L_inf term): -7.0\n", + "log10 of alpha_3 (the weight on L_2 regularization): -15.0\n" + ] + } + ], + "source": [ + "print(\"For Table 4:\")\n", + "print('log10 of alpha_1 (the weight on losses involving reconstruction): %.1f' % np.log10(params['recon_lam']))\n", + "print('log10 of alpha_2 (the weight on L_inf term): %.1f' % np.log10(params['Linf_lam']))\n", + "print('log10 of alpha_3 (the weight on L_2 regularization): %.1f' % np.log10(params['L2_lam']))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The training was allowed to run up to 4.0 hours\n", + "The training actually ran for 2.1 hours\n", + "The stop condition was not labeled.\n" + ] + } + ], + "source": [ + "print('The training was allowed to run up to %.1f hours' % (params['max_time']/(60*60)))\n", + "print('The training actually ran for %.1f hours' % (params['time_exp']/(60*60)))\n", + "if 'stop_condition' in params:\n", + " print('The stop condition was: %s' % params['stop_condition'])\n", + "else:\n", + " print('The stop condition was not labeled.')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Did we do the autoencoder pre-training? 0\n", + "The learning rate was 1.00E-03\n" + ] + } + ], + "source": [ + "print('Did we do the autoencoder pre-training? %d' % params['auto_first'])\n", + "print('The learning rate was %.2E' % params['learning_rate'])" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For Table 3:\n", + "The encoder and decoder each had 2 hidden layers.\n", + "The widths of the layers of the main network were [2, 30, 30, 2, 2, 30, 30, 2].\n", + "The aux. network had 3 hidden layers.\n", + "The widths of the hidden layers of the aux. network were [10, 10, 10].\n" + ] + } + ], + "source": [ + "depth = (params['d']-4)/2\n", + "print(\"For Table 3:\")\n", + "print('The encoder and decoder each had %d hidden layers.' % depth)\n", + "print('The widths of the layers of the main network were %r.' % params['widths'])\n", + "print('The aux. network had %d hidden layers.' % len(params['hidden_widths_omega']))\n", + "print('The widths of the hidden layers of the aux. network were %r.' % params['hidden_widths_omega'])" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We penalized 30 (S_p) steps for prediction. (goes in Table 4)\n", + "We penalized 50 steps in the linearity loss.\n" + ] + } + ], + "source": [ + "print('We penalized %d (S_p) steps for prediction. (goes in Table 4)' % params['num_shifts'])\n", + "print('We penalized %d steps in the linearity loss.' %params['num_shifts_middle'])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "# load all of the weights and biases into W and b dictionaries\n", + "W, b = n.load_weights_koopman(fname, len(params['widths'])-1, len(params['widths_omega_real'])-1, params['num_real'], params['num_complex_pairs'])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# load the validation data\n", + "params['data_name'] = 'DiscreteSpectrumExample' # temp fix\n", + "X = np.loadtxt('%s_val_x.csv' % params['data_name'],delimiter=',')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We used 1000 trajectories in the validation set.\n", + "Note: accidentally reported in paper that we used more data than we did.\n", + "See DiscreteSpectrumExample.m: used 5000*.2 = 1000, not 5000\n" + ] + } + ], + "source": [ + "# reshape the validation data\n", + "max_shifts_to_stack = n.num_shifts_in_stack(params)\n", + "X_stacked, num_traj_val = n.stack_data(X, max_shifts_to_stack, params['len_time'])\n", + "print(\"We used %d trajectories in the validation set.\" % num_traj_val)\n", + "print(\"Note: accidentally reported in paper that we used more data than we did.\")\n", + "print(\"See DiscreteSpectrumExample.m: used 5000*.2 = 1000, not 5000\")\n", + "\n", + "# Xk is just the initial conditions of each trajectory\n", + "Xk = np.squeeze(X_stacked[0,:,:])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# apply the network to just the initial conditions Xk\n", + "# output the data transformed to y-coordinates (steps k, k+1, k+2, k+3 are steps 0, 1, 2, 3 here)\n", + "# also output the reconstructed Xk and the predictions for three steps\n", + "yk, ykplus1, ykplus2, ykplus3, xk_recon, xkplus1, xkplus2, xkplus3 = n.ApplyKoopmanNetOmegas(Xk, W, b, params['delta_t'], params['num_real'], params['num_complex_pairs'], params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# here apply the network to the full dataset\n", + "# output list of predictions y and list of encded data g_list, like in the training code\n", + "y, g_list = n.ApplyKoopmanNetOmegasFull(X_stacked, W, b, params['delta_t'], params['num_shifts'], params['num_shifts_middle'], params['num_real'], params['num_complex_pairs'], params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# calculate the validation loss, split over the loss components\n", + "loss1_val, loss2_val, loss3_val, loss_Linf_val, loss_val = n.define_loss(X_stacked, y, g_list, params, W, b)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reconstruction loss (on validation set): 1.0253E-08\n", + "Prediction loss (on validation set): 4.3842E-08\n", + "Linearity loss (on validation set): 8.7736E-08\n", + "L_inf loss (on validation set): 8.6719E-10\n", + "Pre-regularization loss (on validation set): 1.4270E-07 (goes in Table 1)\n" + ] + } + ], + "source": [ + "print('Reconstruction loss (on validation set): %.4E' % loss1_val)\n", + "print('Prediction loss (on validation set): %.4E' % loss2_val)\n", + "print('Linearity loss (on validation set): %.4E' % loss3_val)\n", + "print('L_inf loss (on validation set): %.4E' % loss_Linf_val)\n", + "print('Pre-regularization loss (on validation set): %.4E (goes in Table 1)' % loss_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "L1 penalty (on weights): 0.0000E+00\n", + "L2 penalty (on weights): 2.7173E-14\n", + "Total regularized loss (on validation set): 1.4270E-07\n" + ] + } + ], + "source": [ + "loss_L1_val, loss_L2_val, regularized_loss_val = n.define_regularization(params, W, b, loss_val)\n", + "print('L1 penalty (on weights): %.4E' % loss_L1_val)\n", + "print('L2 penalty (on weights): %.4E' % loss_L2_val)\n", + "print('Total regularized loss (on validation set): %.4E' % regularized_loss_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sanity check:\n", + "Compare to validation loss recorded during training: 1.4270E-07\n", + "Compare to regularized validation loss recorded during training: 1.4270E-07\n" + ] + } + ], + "source": [ + "print('Sanity check:')\n", + "print('Compare to validation loss recorded during training: %.4E' % params['minTest'])\n", + "print('Compare to regularized validation loss recorded during training: %.4E' %params['minRegTest'])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# apply the auxiliary network to the encoded data\n", + "omegas = n.omega_net_apply(yk, W, b, params['num_real'], params['num_complex_pairs'], params['num_omega_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mu1 ranges from -0.052666 to -0.049388 (little variation in the amount of decay)\n", + "Mu2 ranges from -0.999398 to -0.998315 (little variation in the amount of decay)\n", + "Recall: delta_t = 0.02\n" + ] + } + ], + "source": [ + "# The auxiliary network outputs the parameters for the eigenvalues in the K matrix.\n", + "# For each real eigenvalue, the continuous time version would be mu\n", + "# The discrete time version is exp(mu delta t)\n", + "# the auxliary network outputs mu for each eigenvalue\n", + "print('Mu1 ranges from %.6f to %.6f (little variation in the amount of decay)' % (np.min(omegas[0]), np.max(omegas[0])))\n", + "print('Mu2 ranges from %.6f to %.6f (little variation in the amount of decay)' % (np.min(omegas[1]), np.max(omegas[1])))\n", + "print('Recall: delta_t = %.2f' % deltat) " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "To set axis ticks on next two figures:\n", + "The first y coordinate ranges from -0.475 to 0.479.\n", + "The second y coordinate ranges from -0.166 to 0.251.\n" + ] + } + ], + "source": [ + "print('To set axis ticks on next two figures:')\n", + "print('The first y coordinate ranges from %.3f to %.3f.' % (np.min(yk[:,0]), np.max(yk[:,0])))\n", + "print('The second y coordinate ranges from %.3f to %.3f.' % (np.min(yk[:,1]), np.max(yk[:,1])))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 3\n", + "fig = plt.figure(figsize=(16/3*2,16/3*2))\n", + "ax = fig.add_subplot(111)\n", + "sc = ax.scatter(np.asarray(yk[:,0]), np.asarray(yk[:,1]), c=np.asarray(omegas[0]))\n", + "CBI = plt.colorbar(sc, orientation='horizontal', shrink=.8, ticks = [-.0525, -.0494])\n", + "CBI.ax.set_xticklabels(['',''])\n", + "\n", + "xlab = [-.5,0,.5]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.3, 0, .3]\n", + "plt.yticks(ylab, xlabels)\n", + "\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "ax.axis('equal')\n", + "\n", + "plt.savefig('ToyExampleEvals1.svg', dpi=200, transparent=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 3\n", + "fig = plt.figure(figsize=(16/3*2,16/3*2))\n", + "ax = fig.add_subplot(111)\n", + "sc = ax.scatter(np.asarray(yk[:,0]), np.asarray(yk[:,1]), c=np.asarray(omegas[1]))\n", + "CBI = plt.colorbar(sc, orientation='horizontal', shrink=.8, ticks = [-.9993, -0.9984])\n", + "CBI.ax.set_xticklabels(['',''])\n", + "\n", + "xlab = [-.5,0,.5]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.3, 0, .3]\n", + "plt.yticks(ylab, xlabels)\n", + "#plt.ylim([-.4, .55])\n", + "#plt.xlim([-.4, .4])\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "ax.axis('equal')\n", + "\n", + "plt.savefig('ToyExampleEvals2.svg', dpi=200, transparent=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reconstruction error on initial conditions: 1.03E-07\n", + "1-step prediction error on initial conditions: 9.48E-08\n", + "2-step prediction error on initial conditions: 9.28E-08\n" + ] + } + ], + "source": [ + "print('Reconstruction error on initial conditions: %.2E' % np.mean(np.square(Xk - xk_recon)))\n", + "print('1-step prediction error on initial conditions: %.2E' % np.mean(np.square(xkplus1 - np.squeeze(X_stacked[1,:,:]))))\n", + "print('2-step prediction error on initial conditions: %.2E' % np.mean(np.square(xkplus2 - np.squeeze(X_stacked[2,:,:]))))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Relative reconstruction error on initial conditions: 1.22E-06\n", + "Relative 1-step prediction error on initial conditions: 1.16E-06\n", + "Relative 2-step prediction error on initial conditions: 1.16E-06\n" + ] + } + ], + "source": [ + "print('Relative reconstruction error on initial conditions: %.2E' % (np.mean(np.square(Xk - xk_recon))/np.mean(np.square(Xk))))\n", + "print('Relative 1-step prediction error on initial conditions: %.2E' % (np.mean(np.square(xkplus1 - np.squeeze(X_stacked[1,:,:])))/np.mean(np.square(np.squeeze(X_stacked[1,:,:])))))\n", + "print('Relative 2-step prediction error on initial conditions: %.2E' % (np.mean(np.square(xkplus2 - np.squeeze(X_stacked[2,:,:])))/np.mean(np.square(np.squeeze(X_stacked[2,:,:])))))" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "data = Xk.copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(160000, 2)\n" + ] + } + ], + "source": [ + "# For other plots, it's helpful to consider a full grid of input data\n", + "# Create a mesh grid and reshape it\n", + "xvals = np.linspace(np.min(data[:,0]),np.max(data[:,0]),400)\n", + "yvals = np.linspace(np.min(data[:,1]),np.max(data[:,1]),400)\n", + "X, Y = np.meshgrid(xvals, yvals)\n", + "\n", + "grid = np.zeros((160000,2))\n", + "grid[:,0] = np.reshape(X, (160000,))\n", + "grid[:,1] = np.reshape(Y, (160000,))\n", + "print(grid.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "# Apply the network to the whole grid\n", + "grid_yk, grid_ykplus1, grid_ykplus2, grid_ykplus3, grid_xk_recon, grid_xkplus1, grid_xkplus2, grid_xkplus3 = n.ApplyKoopmanNetOmegas(grid, W, b, params['delta_t'], params['num_real'], params['num_complex_pairs'], params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "grid_reshaped0 = grid_yk[:,0].reshape(400,400)\n", + "grid_reshaped1 = grid_yk[:,1].reshape(400,400)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "# Nice to draw a black outline\n", + "outline_x1 = np.asarray([-0.5, -0.5, 0.5])\n", + "outline_y1 = np.asarray([-0.5, 0.5, 0.5])\n", + "outline_x2 = np.asarray([-0.5, 0.5, 0.5])\n", + "outline_y2 = np.asarray([-0.5, -0.5, 0.5])" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1st eigenfunction ranges from -0.4749 to 0.4789\n" + ] + } + ], + "source": [ + "# calculate range of eigenfunction value in order to make colormap good and choose good levels to plot\n", + "print(\"1st eigenfunction ranges from %.4f to %.4f\" % (np.min(grid_reshaped0), np.max(grid_reshaped0)))\n", + "grid_reshaped0_max = np.max(np.abs(grid_reshaped0))" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.4 -0.2 0. 0.2 0.4]\n" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 2\n", + "n.EigenfunctionPlot('PuOr',grid_reshaped0, outline_x1, outline_y1, outline_x2, \n", + " outline_y2, X, Y, filename='ToyExampleEigenfunction1.png',\n", + " levels=np.arange(-.4,.6,.2), cbTicks=[-.4,0,.4],\n", + " climits=[-grid_reshaped0_max, grid_reshaped0_max])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2nd eigenfunction ranges from -0.1696 to 0.2601\n" + ] + } + ], + "source": [ + "print(\"2nd eigenfunction ranges from %.4f to %.4f\" % (np.min(grid_reshaped1), np.max(grid_reshaped1)))\n", + "grid_reshaped1_max = np.max(np.abs(grid_reshaped1))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.2 -0.1 0. 0.1 0.2]\n" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 2\n", + "n.EigenfunctionPlot('PuOr',grid_reshaped1, outline_x1, outline_y1, outline_x2,\n", + " outline_y2, X, Y, filename='ToyExampleEigenfunction2.png',\n", + " levels=np.arange(-.2,.3,.1), cbTicks=[-.26,0,.26],\n", + " climits=[-grid_reshaped1_max, grid_reshaped1_max])" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import linear_model" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Do linear regression to see how results compare to analytic option we know works.\n", + "(matrix([[-9.44619823e-04, 6.72620120e-04],\n", + " [-9.48769725e-01, -2.68783228e-03],\n", + " [ 5.20966024e-05, -3.40873045e-01],\n", + " [ 1.04102793e-02, 3.65167915e-01],\n", + " [-8.50750436e-06, 6.70097319e-04],\n", + " [-4.01731093e-04, 1.93034905e-02]]), matrix([[0.71802764, 0.36076437]]), 6, array([402.78103098, 115.52753251, 115.36312364, 33.31903796,\n", + " 29.80944601, 29.58719677]))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/Cellar/ipython/7.2.0/libexec/vendor/lib/python3.7/site-packages/ipykernel_launcher.py:10: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n", + "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n", + " # Remove the CWD from sys.path while we load stuff.\n" + ] + } + ], + "source": [ + "# Ax = y, x in [num_ex, 2], y in [num_ex, 2], A is [num_ex, num_ex] \n", + "print(\"Do linear regression to see how results compare to analytic option we know works.\")\n", + "num_ex = grid.shape[0]\n", + "grid_aug = np.zeros((num_ex,6))\n", + "grid_aug[:,0] = np.ones((num_ex,))\n", + "grid_aug[:,1:3] = grid\n", + "grid_aug[:,3] = np.square(grid[:,0])\n", + "grid_aug[:,4] = np.square(grid[:,1])\n", + "grid_aug[:,5] = np.multiply(grid[:,0],grid[:,1])\n", + "coeff = np.linalg.lstsq(grid_aug, grid_yk)\n", + "print(coeff)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Do linear regression with Lasso penalty to zero out most coefficients, making it easier to interpret\n", + "[[ 0. -0.94275411 0. 0. -0. -0. ]\n", + " [ 0. -0. -0.33487502 0.27481503 0. 0. ]]\n", + "-1.2185469827844944\n", + "compare scaling\n", + "-1.0830266588370043\n" + ] + } + ], + "source": [ + "print(\"Do linear regression with Lasso penalty to zero out most coefficients, making it easier to interpret\")\n", + "clf = linear_model.Lasso(alpha=0.0005)\n", + "clf.fit(grid_aug, grid_yk)\n", + "print(clf.coef_)\n", + "print(clf.coef_[1,2]/clf.coef_[1,3])\n", + "rescaledb = clf.coef_[1,3]/(clf.coef_[0,1]**2)\n", + "print(\"compare scaling\")\n", + "print(clf.coef_[1,2]/rescaledb)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "# Load some nice evenly spaced trajectories that are good for plotting\n", + "trajs = np.loadtxt('DiscreteSpectrumExampleTrajs.csv', delimiter=',')\n", + "\n", + "trajs = trajs.reshape((trajs.shape[0],int(trajs.shape[1]/2), 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import cm" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# We plot some nice trajectories from this system\n", + "# Left side of Figure 3\n", + "# create a special color map (version of ocean color map)\n", + "start = 0.0\n", + "stop = 1.0\n", + "number_of_lines= 25 \n", + "cm_subsection = np.linspace(start, stop, number_of_lines) \n", + "\n", + "colors = [ cm.ocean(x) for x in cm_subsection ]\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111)\n", + "fig.set_figwidth(16/3*2)\n", + "fig.set_figheight(16/3*2)\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " temp = trajs[j,:,:].copy()\n", + " plt.plot(temp[:,0],temp[:,1], color=colors[j])\n", + "xlab = [-.4,0,.4]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.4, 0, .4]\n", + "plt.yticks(ylab, xlabels)\n", + "plt.ylim([-.4, .55])\n", + "plt.xlim([-.4, .4])\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "plt.savefig('ToyExample.svg', dpi=200, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenvalues for each traj. Note: about constant\n", + "[0.99896872 0.98022315]\n", + "[0.99897257 0.98022249]\n", + "[0.99897687 0.98022321]\n", + "[0.9989806 0.98022254]\n", + "[0.99898358 0.98022326]\n", + "[0.99898556 0.98022259]\n", + "[0.99898613 0.98022332]\n", + "[0.99898617 0.98022263]\n", + "[0.9989862 0.98022329]\n", + "[0.99898624 0.98022258]\n", + "[0.99898627 0.98022328]\n", + "[0.99898631 0.98022262]\n", + "[0.99898634 0.98022335]\n", + "[0.99898638 0.98022266]\n", + "[0.99898642 0.98022331]\n", + "[0.99898645 0.98022259]\n", + "[0.99898649 0.98022323]\n", + "[0.99898653 0.98022254]\n", + "[0.99898656 0.98022317]\n", + "[0.9989866 0.98022247]\n" + ] + } + ], + "source": [ + "trajs_yk = np.zeros(trajs.shape)\n", + "trajs_recon = np.zeros(trajs.shape)\n", + "trajs_pred = np.zeros(trajs.shape)\n", + "trajs_lambdas = np.zeros(trajs.shape)\n", + "\n", + "print('Eigenvalues for each traj. Note: about constant')\n", + "for j in np.arange(trajs.shape[0]):\n", + " traj = np.squeeze(trajs[j,:,:])\n", + " # apply the network to each trajectory\n", + " traj_yk, traj_ykplus1, traj_ykplus2, traj_ykplus3, traj_xk_recon, traj_xkplus1, traj_xkplus2, traj_xkplus3 = n.ApplyKoopmanNetOmegas(traj, W, b, params['delta_t'], params['num_real'], params['num_complex_pairs'], params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])\n", + "\n", + " trajs_yk[j,:,:] = traj_yk.copy()\n", + " trajs_recon[j,:,:] = traj_xk_recon.copy()\n", + " trajs_pred[j,:,:] = traj_xkplus1.copy()\n", + " \n", + " # apply the auxiliary network to each one\n", + " continuous_evals = n.omega_net_apply(traj_yk, W, b, params['num_real'], params['num_complex_pairs'], params['num_omega_weights'])\n", + "\n", + " # what's the average eigenvalue for this trajectory?\n", + " # (note that for this system, we expect this to be constant along trajectories)\n", + " # note that this is the discrete case: exp(lambda * deltat) if lambda is the eigenvalue in the continuous case\n", + " mean_discrete_evals = np.zeros((len(continuous_evals),))\n", + " for k in np.arange(trajs.shape[2]):\n", + " mean_discrete_evals[k] = np.exp(np.mean(continuous_evals[k], axis=0)*params['delta_t'])\n", + " print(mean_discrete_evals)\n", + " \n", + " # calculate eval^k for k = 0, 1, ....\n", + " # should match if really have linear system \n", + " for k in np.arange(trajs.shape[1]):\n", + " for l in np.arange(trajs.shape[2]):\n", + " trajs_lambdas[j,k,l] = np.power(mean_discrete_evals[l],k)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Right side of Figure 3\n", + "# to check if really linear, \n", + "# compare normalized eval^k (k = 0, 1, ...) to the y-coordinates\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111)\n", + "fig.set_figwidth(16/3*2)\n", + "fig.set_figheight(16/3*2)\n", + "\n", + "subset = np.arange(0,trajs.shape[1],4)\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " scale0 = trajs_yk[j,0,0]\n", + " scale1 = trajs_yk[j,0,1]\n", + " plt.plot(np.array(trajs_lambdas[j,:,0]*scale0), np.array(trajs_lambdas[j,:,1]*scale1), 'k', linewidth=2)\n", + " ax.scatter(np.array(trajs_yk[j,subset,0]),np.array(trajs_yk[j,subset,1]), color=colors[j])\n", + "\n", + " \n", + "#plt.axis('equal')\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "xlab = [-.4,0,.4]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.15, 0, .2]\n", + "plt.yticks(ylab, xlabels)\n", + "#plt.ylim([-.4, .55])\n", + "#plt.xlim([-.4, .4])\n", + "\n", + "\n", + "plt.savefig('ToyExampleLinear.svg', dpi=200, transparent=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([,\n", + " ,\n", + " ],\n", + " )" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kUofo6LhVGWFnbnuKL33jEfFg+UjtPULH9XcrI+wS3X1kstNg2T9/Pj+Z7DSJ7j5vG3OR9Mg45O1fHgPB0roCGC3LCebt+2W2qIsGAxgtyz3syl3ODoqrHR9+2/nc07ZSC7o/EilFnRMVNjw8rOTxz4Z3CwHXWN3AYNfPlBF0ALG6xRCwBU/BAvuYK1a32MOu3CO976D4wGf/aNmfX7GuAInEPczMOHfp7GlrJkcicY93TblIousBsllbENjfqpnJaRJdD3jXlIukh23/yzmirqSuALHaSrAnkc6krlhXgHhzI+uW2oa8oXIaa6Ik115EvLnR28ZcxEmT0MbDrw0pRd19v71vNirMUC8qTGXzYaN9I9HyyOwkq2ARDZdjtG/0tjGXiC2ptz9y7mJZx9XlJ50eYfbzO74uP+l9R15TXTZideL15XhRV6wrgNG2Er9l/+JhT+qioTKMtpUeduUu51UKsWp88B0MbvywUoIOZtMkdETYa0M6UVeMCqu0o8L2qhcVVl1dDYjsV9WyQ+Ota0huugl/mbhof/aCepKbbiLeusbjztzB6GwnGgnPmdQViEbCGJ3t3jbmIrFYLceL1tm6/MSWzJ/z5HuFurwY7S1Ew8ESURcNBzHaW7xtzEXiq5bxlkX21qS/jMbaSpJXXUp81TJvG3MRlc2HQU/qThTpRF0xKszZcj6mXlRYMBgkGo1SKBSKP7gqEW9dw6KFdQDs/Nrdygg6gPi6VpKbOymPiHsudQtqSG7uJL6u1ePO3MMwNhAMOkda9jJPNIRhbPCuKRcxOi8jHA6U1KKRIEbnZR515C7x1maSm9YWRV1s0XySm9YSb232uDN3mRcWb28/uuFyBrs+rpSgA/VFnZ7UnRjSibpiJNgcUVdSVwTnCHZsbMzjTk4NKhsQx9e18oF3rwDgVuNzSgk6gHj8EtraVtlPFo2NC0kmryEev8TTvtwivm4Fn/+U8zXz0dgwn+TmK4ivW+FpX25yRcvyoqh7/t7PKSfoQP1ECZVFXe+eIXb8RljSfOOXQzoe7DUgnagrRoJV24Vjx9UVQeV7dTCb/6qiqAP1Y8Le8Y43APC5z32YwcGvKyPoHFpXvwmAS1a8gcHHb1ZK0MGsabTf7y8aSauGyokSoK6oc3JfJ46K49dMsELnvr4GpPtpLkaFOZO6MfWiwkB9UedM6iYnJz3u5NSgEyXkRnXzYdXTJGB2UqdFnVzc/szzZPMFcsfEe1+wep7OfX0NSCfqnKiwusXiTlZkKqJcVBjAREGInXf+nw/S1HkhZn+Pxx25i8rHr6CzX2XnTBF1qua+wuykTh+/ysXwRBarUGBm3BZ1lTXFuubVkU7UgRB2D//1wwC8MfRG5QSd2d/Drw89Jx6mC6RGXqTjjuuUEnbO8auqkzrVj19Vn9SpzpkwqVP9+HViYgJQT9TVVYSZyRzDKhQoi1bit79Hde7rH4eUog5gyZIlAOzbt8/jTtwn0WOQL7OtIuz810xukkSPOkfMqk/qVD9+1ZM6uTkTRJ3KixLmQIo9Q2I79H337MQcSHnckXtcfcFSmBALgsGqeYDOfX0tSCvqFi1ahN/v5+DBg8q9caZH9kLIfjPJWaV1RThTFiVU+950UH1Sp0Wd/Kg6qTMHUnRsf5r8lDjl2Dtl0bH9aWWEXeu5i/iLmLg0H6qap3NfXyPSirpAIMDixSJaSrUM2FhtA4TtN5NsobSuCKovSqh+/KondXKjuqizLEvZSV2ibxeZ3AzkhGglVE5mOk+ib5e3jblIo537eumfnKdzX18j0oo6c8DkUNkhAC6+5WKlEiWMtgTBqP1CZE/qoqEIRps6BsvpQ0KI/82Wf6RpfStm74Med+QuelInN1rUyY3zcxcMBpWzbEmPZmA6C1hQFgL780uPqnPqMTw8DEBdXZ3HnciHlN/tTlRYLiJ+cA/sP6BUVFh8VRsd7/+EeMhZNNaeTfKqW4ivavO2MZcwex+k9+dPiod8gdTB/XRsuVEpYafv1MmNFnVyc+eOXwIwbflp6rwTs3+3xx25R6wmCln7hCMcKa0rghZ1J46Uoq4YFeYYEI+pFxV22coPAtBy3moGu36mjKADSHRvZcbJnSzYiyDZKRLdWz3syl1++Zy432J87U6aVq/H3NbrcUfuoid1cqOyqDP7d/PZO38gHgJBUiPjdNzxQ2WEndGynPK8be8RFkIuGgxgtCz3sCt30aLuxJFS1J0JUWHz54vw8CNHjnjcifukhw8UjwzIF0rrCmBu6+U/v/+4eLAsUnuH6Li+Sylhpyd1crNtx68A+O2Lh2lavxWzd8Djjtwj0bOTySlb9ASEaM3kZkj07PSwK/eINzdy/cVN4iEcobEmSnLtRcSbGz3ty020qDtxpBR1xUiw40SdSlFhKou6WN1iCNhvlgWrtK4Aia5upmfsCZY9kcxMZkl0dXvYlbs88cRvAbj33sdparoW09zhcUfu8oMf/waAR3b8mqbVN2Bue8rjjtzD7B3gpjvsSZbPT+rgKB1btisj7NIj45C3F5QCZaV1RXhXfQUA731TI4MbP6yUoOvdM8QPfvk7ALp/e0jHg71GpBR1L4kKO6ZeVJjKos5o30jI2UizJ3XRcDlG+0YPu3KP9L6D4LN/tCyrtK4AprmDZNIWBVikUofo6LhVGWFnbnuKf/nmY/aTj9TeI3Rcf7cywi7R3cdU1r7raX+fZrLTJLr7POzKPWK1lZAXx8tzRV2sVh2T3rEx4eNWXV39Kn9TLnTu68kjpahzosLOWnIWAGUTZcpFhc2bJ0wXjx49qty9pXjrGq758/XioVCgsf4skptuIt66xtvGXCK2pB6wJ5FW4bi6/CQS95DL2W+a2HciMzkSiXu8a8pFEl0PkM3OlNQyk9Mkuh7wqCN3SQ+Pzn5f+vyldQUw2lYS9tufX0AsLEVDZRhtKz3syl1UFXXF3NcxOyKsSue+vlakFHUghN0v/7fYcCrPlHPF8is87shdAoEANTUi8250VI0X27n8j1XvBuADF76TwXt7lRF0AEZnO6FwyH6yLWkiYYzOdu+acpF0eoSiaH1JXX7S+15+Ov5KddmI1dW8rKiL1dV41JG7xFct4399oFk8+MtorK0kedWlxFct87YxF3FEXVVV1av8TbkYnshiWRbTx44CEKzSua+vFWlFHYhpVkVFBePj48oJH7O/h3FLrK03//0lSuW+AlRUiDshTn6hSsTXtXLNFX8uHiyLxoZFJDd3El/X6m1jLhGL1TIr6qzj6vITWzJ/zpPvFeryYrS3EC6zX/p9YuElGg5itLd42JW7vPsNYir+3uVNDHZ9XClBB+pO6uoqwuQnJ7DyMwTKIwRC4WJd88chtajz+XzULBJKfv4/zKdpa5MSXnVmfw8dd1xHPih+m943tI+OO65TStg5IdQqijqAltVvB2Bty0oGH79XGUEHYBgbCIeD9pM9iYyGMIwN3jXlIkbnZYRCgZJaNBLE6LzMo47cJd7azMa2FeLB56exvobkprXEW5u9bcxFVE2TcFBV1Onc15NHalFnDpgcCNg2GKOQGk0pYUKc6DHI5CZn81+zFpncJIkedRZBnEnd+Lg6G2lzUTkmLB6/hL/7uw/bTxaNjQtJJq8hHr/E077cIr5uBZ/+mLgegM9HY8N8kpuvIL5uhbeNuch73noOAP/j4mUM3rtRKUEH6ua+Oqgq6lrPXURbo/icdO7riSG1qEv0JShU2XdD7NNXFUyI0yN7xQeOqMsVSusKoPLxK6ifKPH+978NgNbWZgYHv66MoHN4z8XnA7C2pZnBx29WStCB2ubDoPakzhxIcedTvwbgxif2YA6kPO7IXZpCYjHwkjefq3NfTwCpRV16NA3O3d7R4+oSE6ttEB+E7S9P1iqtK4Dqx686+1VuVDcfVl3UTU6K+8iRSORV/qZcmAMpOrY/zYR9wjFSCNCx/WmlhN3Bg8L6SRsPnxhSi7pYTWxW1I0dV5cYoy1BNBQpmdRFQxGMNrknkHOZe/xqzfFyUwWVj19BJ0rIjhZ1cpLo20VmOl+S/ZqZzpPo2+VtYy4yNCQ86RYvVsOM/vVGalFntBiEa+3xuj2pU8GEOL6qjeRVtzDPNiCu9leSvOoWpfJf7/vvR8DvI5/P0/TRFszeB71uyVVUP37Vkzq50aJOTtKjGfFB1v7Tzn4t1hXgwAFxT37RIn3seiJILerizXG+1PYl8TAKjTWNypgQx1e18c9X3gjA5W9bq5SgM3sfpGPLjeAXb5jpA/vo2HKjUsJO9eNXPamTGy3q5CRWI0RccVIXKi+tS07vniHu/6nwn/126phOkjgBpBZ1ANe+71oAAuMBfve3v1NC0DksWLAAgMOHD3vcibskureSyU5BwP72yxfIZKdIdG/1tjEXUf34VU/q5EZ1UZfJiMmVaqLOaFlONBiYc/waJRoMYLQs97YxF3AiwsYOCxPzqfIqHRF2Akgv6sLhMIsXLyafz7N//36v23EVVfNf08O2Dc0cUVdSVwBH1DlbeKqhJ3Vyo7qoe2bPPgBuuP9nNHXeidm/2+OO3CHe3Ehy7UX4ckLUnVO/gOTai4g3N3rc2clTjAgbFUOMUM0CHRF2Akgv6gAqFopL97F/jCljQAzqirpYnX0B1l8q6op1BVD9+FVP6uTGmSCrKOrM/t30PWsLgUCQ1Mg4HXf8UBlhd/kbz8KazhEIBEh9/iNKCDqYjQKbK+rm1jV/HNKLOnPAZJBB8aCQATHMijrVjl+N9o1Ew+Ulk7pouByjfaO3jbnI9r6dAOwfGqZp9XrMbb0ed+QuelInNypP6hI9O5mZtoVAQCwsZXIzJHp2etiVexw7dgwQxsMqfX/WVYTJZyfJT2XwlQUpi1YW65o/HulFXaIvQb7KnhYoZEAM0Pu7HQC8sP9FmjovVCYmLN66huSmmyiPivsudVXzSG66iXjrGo87cwdzWy/XGd8QD1aB1N4hOq7vUkrY6Umd3Dz5qxcA+Nr9P6Vp/VbM3gGPO3KP9Mg4zNh3WctCpXUFUDVN4uoLlsK4eBMP1SzA5/PpiLATQHpRp6oBsdnfw2fvu0Hkic9YpIZfUCr/Nd66hjXvei8AX/vb65URdACJrm4ms/abii0OMpNZEl3dHnblLv/1Xz8HYGAgRVPTtZjmDo87cpcdP3kOgG8/9DOaVt+Aue0pjztyD7N3gPsec0Scn9TBUTq2bFdG2MVqKyH/UlEXq630qCN3mTupU4nWcxfxkXPE1yhcs0BHhJ0g0ou6EgPi0ePqEpPoMZicnlI6/9VJlVAt/zW97yBCjQNYRWEn6vJjmju46abv2E8WqdQhOjpuVUbYmdueovveHxefU3uP0HH93coIu0R33+xWtk+8BWSy0yS6+zzsyj2MtpX4C/bnZx+/RkNlGG0rPezKPVSd1AGcExB3kN/zJ2/QEWEniPSizmgxKK+1Q5uPij9UMCAu5rwWo8J0/qssxJbUg89HUdhZhdm6AiQS9zA1NWM/2ZPITI5E4h7vmnKRRNcD5HLOsbL4GmYmp0l0PeBdUy6SHh4tfk86oq5YV4D4qmWct8D2bQsEaaytJHnVpcRXLfO2MZdwRF1VVZXHnbiPYzys0yROHOlFXbw5ztYNtr/ZUYhVx5QwIC7mvJY7k7pCaV0BVBV1Rmc70Uh49g3TKhCNhDE6271tzCXS6ZE5T9Yr1OUlve/lt81fqS4bsbqalxV1sbqaV/i/kI+KMvF9+fTNcQa7Pq6MoAN4eNfvAfjeC6M0bX1IqdxXLepOHulFHUDHuzqoqamBHPz0yp9KL+hgTv6rM6mbspTLf1X1+DW+rpXk5k789mbh2YtrSW7uJL6u1ePO3CEWq2X2ePn4uvzElsxnrlgtrcuP0d5CWcD++tmiLhoOYrS3eNiVu6hqPmwOpLjtCZG4QDhCajRDx/anlRB2vXuGMPufBeDh/ZPadPgEUULU+Xw+zj33XACef14No0In/7WiRgifBWU1yuW/qjqpAyHsliyqA+Dx+/5FGUEHYBgbKC93LqAL8RONhjCMDd415SJG52WEQoGSWjQSxOi8zKOO3CXe2swH3m5vFPr9NNbXkNy0lnhrs7eNuYiqMWGJvl3kMvbrpZ37mpnOk+glU9VuAAAgAElEQVTb5WFXJ4+TJjE6MgxANlKt0yROECVEHUDZAjEVufj/XqyMAXF8VRuf/pA4svv8+65VStCB2qIORNoJqJcqEY9fwj//85X2k0Vj40KSyWuIxy/xtC+3iK9bwSf/cpX95KOxYT7JzVcQX7fC077cZFmDmDpuufaDDN67USlBB+qKuvRoBrJiCkk4UlqXmJekSVTP12kSJ4gSos4cMHkm+4x4OKKWAfHChQsBOHTokMeduM8vBoVtxG0PfJum9a2YvQ963JG7qCrqANrahOg566x5DA5+XRlB57DqQjHJ+thHLmbw8ZuVEnSgtvkwqCvqYjVRmLIFXHlFaV1idJqEeygh6hJ9CWZq7G08+y6zKgbEqoo6s/dBbv/+d8VDPk/q4H46ttyolLBTWdTpRAm5UVnUWZalrKgzWpYTyJWKumgwgNGy3MOuTp66ijCWZc0RdfOLdc1rQwlRlx5Nwzz74ehxdclRVdQlureSK9hCPG/bYmSnSHRv9bArd1FZ1OlECblxfOocca4S09PTFAoFysrKCAaDXrfjKvHmRt5abX9O5RU01kRJrr1I+vzXqy9YSiCboTA9TaA8Qll5VKdJnCBKiLpYTQycxbQjx9Ul5+n9wuX9oSe/r1RUWHr4QEn2a0ldEVQWdXpSJzeOqAuFQq/yN+Xjmz8Sr5kzvjKaOu/E7N/tcUfuUlEQryc/+psPM7jxw9ILOhBpEh89Rxwhh+cv1GkSJ4ESos5oMYjU2WP2USCvhgGx2d/DP//ga+IhWyA18qIyUWGxusUvK+pider4E6ks6vSkTm4cUafaJMvs381n7/yBeAgESY2M03HHD5USdkePiuOoefPmvcrflIuYX7xOrnzz+TpN4iRQQtTFm+Pc9he3EZgXAAuWFJYoYUCc6DGY8ovYFKbsI0pFosKM9o2UO/ddbFEXDZdjtG/0sCv3MLf1suMnwmbgE9cZmNt6Pe7IXfSkTm5UFXWJnp3F+3RORFgmN0OiZ6eHXbmLqqJu716RltTQoI7BvhcoIepACLvzzzsfgH3pfST6EtJvv6ZH9orsVx8wbUHBmq1LTrx1DVv+9n+Jh3yBxvqzSG66iXjrGm8bcwFzWy8d13cxmRVvnMMjR+i4vkspYacndXKTy4lfFlU7fk2PjMOM/YtwWbC0rggqirrePUN85REhvH86jvanOwmUEXXmgMlzlrDIUMXWJFbbIDJEw/Ybiz2tUyUq7OMf/AsAosEwg/f2KiHoABJd3WQms3b+K2AVyExmSXR1e9uYi+hJnbyYvQM88pQ4jrzmKw9j9g543JF7xGorIS9+mSIQKq0rwMzMDOPj4/j9/mIij+w4xsOHD4r71PmK+dp4+CRQRtQl+hLkq+2pgSK2JsWosHL7y5QtKBUVFo3ajuiZjFLiIL3voPhgTvZrSV0B/uM/ngBgaipHU9O1mOYOjztyF1VFndk7QMeW7UxOiftLw6NTdGzZroywM9pWEvbZryX2pC4aKsNoW+lhV+7R/YT4OhVCEc79l/9SIh7MMR7OHhZpEuH5ddp4+CRQRtSlR9OwwH44fFxdUpyosHCluHu2KFyrVFSY3+8vCjuVUiViS+rFB8eJumJdckxzB9dee7v9ZJFKHaKj41alhN2T9hvKbff+mKbVN2Bue8rjjtwh0d1HJjsNlv0LsD9AJjtNorvP28ZcIr5qGRvf92bxEAjSWFtJ8qpLia9a5m1jLmAOpPjc/eKXKcorlMl9dQyGs0eEbVd4QV1JXfPaUEbUxWpi4OSJHz6uLjHxVW18eMWfAfC1y7+kjKBzqK6uBuDYsWMed+IeRmc70Uh4jqiziEbCGJ3t3jbmEonEPUxO2kdcdvZrJpMjkbjHu6ZcxNz2FHfdb4s4C1J7j9Bx/d1KCLv08Kj4wJmM29+jxboCrFoq3gjWXHQ+g10fV0LQgch9nXJeJyPCeFiF3FfHYLgo6uYvLKlrXhvKiDqjxSCyyN6mHAEKatiagLoGxABVVVWAWqIuvq6V5OZOqqvEnZd5VVGSmzuJr2v1uDN3SKdHENs7Dtacuvwkuh5gOle6AJKZnCbR9YBHHblHrK5GfOBM6nyB0roCqJomkR7NwJR9ojEnIkz23NerL1hKWWGG6WNH8fn9hGrma+Phk0AZURdvjnPbR2/DX+mHGWigQQlbE1Bb1DmTurGxMY87cZf4ulY2Xv1RAP7uqr9QRtABxGK1x1WsV6jLSXrfHAfzOXfqSuqSYrS3EA0HS45fo+EgRnuLt425iCPqnKsdqlCa+xotrUtM67mL+Ni54n0gVLOARVVRbTx8Eigj6kAIuzec/wYA9g7uVcLWBCA1LixMvnD3ZqVSJczeB9n1wu8BWPP31yiV+wrqmg8bxgai0RBzp3XRaAjD2OBdUy4SWzIfR6i+tC438dZmkpvWErRf+c+qrSG5aS3x1mZvG3MRVSd1RstyQtO2B59Cua8ASwPChuZt55+rjYdPEqVEnTlg8nufEAmMqGFrYvb3cN+ztthRKFXC7H2Qji03ks2L/NeDhw7RseVGpYSdqqIuHr+EZPIanJePc85ZQDJ5DfH4Jd425hJG52UEg04mqhCu0UgQo/My75pykXhrM02LxGTksa/+T6UEHagr6uLNjbSda/9ioVDuK2jjYTdRStQl+hLk59vHCvb1HtltTRI9Brky+1L6lLjcrEKqRKJ7K5nsFJTZb575PJnsFInurd425iKqijoQwi4aFZ/fr3/9FWUEHUB83Qo2rL2o+NzYMJ/k5iuIr1vhYVfuonL2ayYjjihVE3UA50bELxn/9MEVyuS+9u4Z4ssP/xiAXVMB7U93kigl6tKj6dkN2JHj6pKSHtk761M3ZZXWJSY9LIwmj89/LdYVQGVRB2qnSlzULLbm//YTlzL4+M1KCTqYTZRQLSYM4Ce/E6+Nm//rWZo679S5r6cxjvHwoSHbeLhSGw+fLEqJuhJbk5Hj6pISq22YI+oKpXWJidUtFh+U2Z/bTKG0rgCqizqVUyVUNR92UDX71ezfzX/97HfiIRAkNTJOxx0/VEbYqSbqisbDR7TxsFsoJepKbE2OAHn5bU2MtgSRant9fbIgPM8USJUw2jcSDZeXTOqi4XKM9o3eNuYiqos6lSd1WtTJSaJnJzM5++etTBwtZ3IzJHp2etiVe6gm6o43Hi7XxsMnjVKiLt4c57aP3EZgfgAsWDKzRHpbk/iqNm5r/wq+sPiczq44S4lUiXjrGpKbbmK+/eJUFSonuekmZfJfAXb+/DcAfOfhx2havR5zW6/HHbmLM6nTok4+nONX1e7UpUfGIS8+NwLB0rrkmAMpen+5B4BPPfIr6ZMkQBsPnwqUEnUghN2b3yRiYvYN7lPC1iS+qo3zG88D4Pufvld6QecQb13Dls/8AwAfeWeLUoLO3NbLN0zbrLZQILV3iI7ru5QSdmVlZYAIGVcN1UWdqpO6WG0lzNiiLhgurUuMOZCiY/vTZCeESftQvkyJiLCrL1hKyEdJ7qs2Hj45lBN15oDJbwpiQqKKrQnAokXCt2doSK0LpComSgAkurrJOqkEdvZrZjJLoqvbw67cRU/q5OSuR58tirplH/9XzN4BjztyD6NtJf6C7RZgH79GQ2UYbSs97OrkSfTtIjOdn5MoEVUiIqz13EV84rwarPwMwap5nLWgRhsPnyTKibpEX4KZWntyIMS/9LYmANmg+Jze94/rlDIgVjVRIr3v4Gz26xwj2/S+g940dArQkzr5MHsH6Oi6Xzz4fKSHj9GxZbsywi6+ahnnL7DvVZeFaaytJHnVpdLnvxajwCYdUVdZWpeYGOJzeNsb36CNh11AOVGXHk1Dnf0wfFxdUsz+Hn42ZL/oTuaVMSAGdSd1sSX1s6LOKpTWFcA0d7B3r4jNWr36Bkxzh8cduYuqoi7R3cfk1JR4sHNfM9lpEt19HnblLhUB8fP2ky/GGez6uPSCDuwosOmcOFoOlEEoPFuXmN49Q3TeJ66kHCir0lYmLqCcqIvVxEpFnTWnLimJHoOZkC0MFDIgBvjRrp8B8OTAz2la36pMooTR2U55uX2nxxZ10UgYo7Pdw67cwTR30NFxKzO2Dc2+fSN0dNyqlLD72S7xS+CW7j6aVt+Aue0pjztyh/Tw6OwvGT5/aV0RJibENKuiouJV/qY8GC3LKZ+2p3KRKvD5pI8Iczzqhva+CIBvXp32qHMB5USd0WIQnR+FKJAFxuS3NUmP7IWI/aWaVMeA2Ox9kJvM/0885POkDu5XJiosvq6Vmzs/JR4si8aGRSQ3dxJf1+ptYy6QSNxDJpNjNvvVIpPJkUjc42VbrmFue4qe7z0jHixI7T1Cx/V3KyHsYnU1ULDvQPoDpXVFUFHUxZsb+cI7zhYP0UolIsIcj7qpQ8J4uHzhYu1R5wLKibp4c5zk2iRli8R9H4YhUiZ3XIyqBsSJ7q1M5e1LzXaihEpRYZeveR8AZy+uZfDxe5UQdADptOPsXXpncLYuN4muB5ieLl3+yExOk+h6wKOO3MNob6E8aH/d7OPXaDiI0d7iYVfuoqKoA1i5QEz+3/2mpUpEhDledFOHxGSuvHZRSV1zYign6oo4R7AHYWRyROoNWKMtQbjaFqaT9lGeAgbE6eEDs+bDM8JYuVhXAFXNh2MxJ7ZldlJXWpeb9L4jc3ZbfKV1yYm3NvPl9veKB5+fxvoakpvWEm9t9rYxF1FV1B0+fBiA2lo1fs4cL7qpEVvULVxUUtecGEqKOtU2YOOr2vjyx24UD5MFGmvPVsKAOFa3GPw+8T+AgjVbVwBVRZ1hbCAaDTFX1EWjIQxjg5dtuUZsyXzmbiyX1uXnwxcLz8tzGxYyeO9GpQTdzMwMuVwOv99f/PlThZERMQlXRdRdfcFSQn5fyaROe9SdPEqKuvRoGpwlQ0U2YK/54FUAhGbKeP7/eVp6QQcvExU2k1cqKqy8vByAKWfbUBHi8UtIJq8hFBLGtYsXV5NMXkM8fonHnbmD0XkZweIRpfgjGglidF7mXVMuomqaBMC/P/YLAAqBEEs//y1lMl9BPVHXeu4irn5jLYXcFGXRChrqF2qPOhdQUtSpuAEbiUSoqqoil8sV8/9kx4kKKwuLN5cl8xYqFRXmTApyuZxyBr3x+CW84x3nA3DffdcpI+gA4utWsO79b7OffDQ2zCe5+Qri61Z42pdbqJomYfbv5u++aVuzlIVIjYzTcccPlRF2j/9WLBD889Mv0rT1IenTJIDi5mt5rRqnM6cDSoo6o8UgMi8CEZTZgDX7e5gMiN+wl1/3LiU86kAIu+bz3wTAA//0/yoj6EB4nKk6rYPZRAkVzYff+maxhHT9p/8Hg4/frIygA3VFXaJnJ1OTtu2HnSaRyc2Q6NnpYVfuYA6keGTX78VDtIrUaEb6mLDePUPc/pjYKC+vXcTBiay2NHEBJUVdvDnObZfdRtliewP2oNwbsGZ/Dx13XMdMSEx79h3Yp4z5MKibKmFu6yVne7m96X1XKpX7CrOJEqpNIUFd82FQ9/g1PTIO0/b91bJwaV1yEn27yI/br48RkSYhe0zY7c88zzF7Ka7cvketLU1OHiVFXRFnontA7g3YRI9BJjc5x6uuoIz5MKiZKmFu66Xj+i5n94MX9x2g4/oupYSdypM6lUWdqpO6WG2lSFyA4qSuWJec9GgGJm1xGq0qrUvK8ER21qOudlFJXXPiKCvqEn0JZurtNxvbIUPWDdiiyfAcUVdSlxxH1Kk0qUt0dZOZzJZEhWUmsyS6ur1tzEX0pE5OvvekuGO2Y9eLNK3fqkzuq9G2krDP/l60J3XRUBlG20oPu3KHWE0UMvYvvZGq0rqk1FWEZzdfFy4qqWtOHGVFXXo0XTKpK6lLRtFk2BF1mUJpXXKGxoT/18e++PfKRIWl9x0UHxyX/1qsK4Ce1MmH2TvAV779uHjwBUgdHKVjy3YlhF181TL++hKxvENZkMbaSpJXXapE9qvRshym7Emdffwqe0zY1RcsJXtoPyDSJABtaeICyoq64gasHxgBcnPqkmG0JYiGIhC1Y30yBSXMh0FEhf33r+xIphl1osJiS2xPHdu13xF1xbrkmOYO+vp+CUB7+9eVyn0FdUVdoruPbNZ+MbR/4chkp0l093nYlXu8/WwRd7Zh9XIGuz6uhKADuGJ5DP+UMFUmokZMWMvSeqZtURetb6C+IqwtTVxAWVFntBhEI9FZa5MheTdg46vaSF51C/WLhSAITweVMB8GERU247Mvns2IoxMVosKMznaikXDJpC4aCWN0tnvbmAuY5g46Om5lclKIg+HhUTo6blVK2D37a2G1cNNXH6Zp9Q1K5L4CpIdHwXpp9mt6eNSjjtxF1TSJ0dFRCvk8VVVVWF/coERM2LefHGBqcpJgZTVL6hdy9QVLtaBzAWVFnZMBG26wz+cPyL0BG1/Vxg9uuh+AxsgSJQQd2JFgZbPmwyV1iYmvayW5uZPyiLA0qV9QTXJzpxL5r4nEPWQyOeZmv2YyORKJe7xsyzXMbU/x4GOzW4WpvUfouP5uJYRdrK6mODUuTpGdugKoKupUMx7u3TPEVx76bwAiixq0nYmLKCvqHAqL7RcwyTdgAX6892kAdu95jqbOC5WwNInVLYYy+83Ftv8o1iUnvq6VP3v3xQDcanxOCUEHkE6P2B+VZr/O1uUm0fUAM9Olyx+ZyWkSXQ941JF7GO0thBwtZ0+Ro+EgRnuLd025iKqiznxKXHUYzPqVMB6+/ZnnGd0vpuGRenE3XNuZuIPSoi7Rl2C6Tqzvy74Ba/b3sPE7N0AZMGOR2p9WwqvOaN9I2J5mOZM6laLCIhExHZ6cnPS4E/eIxZxpQamom63LTXrfkTlPvleoy0m8tZmPtdqX6/0BGutrSG5aq0z+61O7XwBg8/cGaOq8U4k0CXMgxebv/0Q8RCqVMB4ensgyeVC4NziizqlrTg6lRV3JBuwQkJ9Tl4xEj8Hk9BREZpclVPCqi7eu4X9//K/Fw0yBxvqzlIoKcxIlVBJ1hrGBaDTEXFEXjYYwjA1etuUasSXzKWYLvqQuPxedL+4tXXPZCgbv3aiMoDP7d/O9Z54TD2VhZWLCEn27yB6z7zxG1TAerqsIz4q6RQ0ldc3JobSoi9XERFRYDTADHJ5Tl4yiJ1201NZEBa+6v3r/hwF441kxBu/tVUbQweykTqWYsHj8EpLJa6isFJ/bggUVJJPXKJP/anReRllZ6UtjNBLE6LzMo47cRdVEiUTPTmay9s+ZQjFh6dHMy3rUyWw8fPUFS5k6uA+AqC3qtJ2JOygt6owWg2gwOjut2wc+fHzo/A952teJUPSkq1DPq27evHkAHD161ONO3EfF41cQwu7KK98DwBe/+FFlBB1AfN0KPviet4gHn4/GhvkkN1+hTP6rqokS6ZHxOYkS6sSExWqiL5smIbPxcMvSevLazuSUoLSoizfH+cTbPgGO7tkLFhbf/MU3pVuWKHrVzTEgVsWrTmVR97u0eOHqvPlfaVq9XqmYMJUTJd5y/lkAbP78nzP4+M3KCDpQV9SpGhNmtCynTDHj4f98+tdMHBsjEKlgyeJ6bWfiIkqLOoCHn3sYzrYf7JNKGZclHK+6+XULAKgqRJTxqut5vBf8PrLZLI2Xv1d642EHc1sv3/vRT8WDlSe1d0ip/FedKCEnqh6/Gm0r8RfsxThb1KkQExZvbuTCavutunKe9MbDvXuG2PKQ8LSM1jcwnMlpOxMXUV7UpUfTsMR+OIC4W4ecyxLxVW3ceu1XAHj/ue9WQtCZvQ9yzS3/CAHxrZjet0+JRAkQ+a/TedumxfYGUyn/VeVJnaqizuwd4JZv/xiAf/nuT5WIB3OIr1rG0nn2sWtZWKmYsPKsmNQ99uk/l954WNiZiC3lSL14c9Z2Ju6hvKiL1cSgHJEskadobbIgssDDrk6cXYfFJtd//vcDSnjVJbq3kslOzXrV5fNKJEqAnfN6XExYsa4AelInF2bvAB1btjM2Li7Yj2ZyyuS+OpT7xC8Yz37540rFhB08KF4z6uvljxkcnsgyOfTSzVdtZ+IOyos6o8Ug6A/O3qsTfoccyx2T7l6d2d/D//3R18VDpkBq5EXpveqKyRHOtqFt+ip7ogTYOa9zYsJK6grwm9+I+4L/8A8mTU3XKhUTpqKoS3T3kclOQ8GerPoCSuW+AoyPi4lWZaXc9+jmYg6k2J0WIugD//lzqf3pQNiWZIZs42FtZ+I6you6eHOc6nB1ybIEQC6fk+5eXaLHYKrMvgg8WYCCJb1XXTE54rhUCRUSJYzOdkJh+96SLepUyn99+OFn7KcCqdQhpfJff/WcEKx//+XvKpP9Wsx3PS77VZXcV4Bjx4T1R1VV1av8TTkwB1J8atuTFDLHwOfjxemA9MbDV1+wlMl9ov+Ks4S9mLYzcQ/lRR3A4cnDL1mWAPnu1aVH9kLAB+U+4Y06Jb9XndG+kWi4fI6oyyuTKBFf18rffOwj4sEq0NiwSKn815kZx6BX/KlK/qu57SkeffzX4sHyKZP9Wsx3LZSKOlVyX+964rccPioE6kU33y+96TAI4+HJo3aSSbQa/H7pjYcLhQIT+8V7b3RJI1WhgLYzcZEzQtTFamJQj4jYOgxk5tQlYtarzhZA4/J71cVb15DcdBOVVeK4ZEGkUqlEiQ+8R2S//tnqCxl8/F4lBB04Oa+lMWGzdblJdD3AzIx62a9GewvRcBAK9h1IX5kyua9m/246bu8VgtVfRno0q0SaRHo0AxNj4qGiprQuIb17htj84A7yuSyhmvkEK6rI5V+a3qI5cc4IUWe0GETLo3CWXdgrpwlx0auu0v6yTeSV8KqLt67hrz9yBQB/f/knlRF0oGaiBDg5ry8VdSrkv6qa/RpvbSa5aS3RkHj9WDivSpnc10TPTiYztpdbUNzNUiFNIlYThQn7eHyOqJPVePj2Z57n6AuDAETPEhu8evPVXc4IUVc0IXYGc2k5TYgdr7qqheKHe16hShmvOlUNiFVNlDCMDQSDZfaTEHWq5L/Glsx/uehXJbJf463NvP9C8WZ66+fXKSHowE6NmLa3J4PlpXWJMVqWE8raEWEV1YDcxsPDE1km9tv36RqaSuoadzgjRB3YJsSOtY99x1RWE+I/Xy0mWUeHj5DoMaTefnVwRN3oqDqXtgHKy8UbjGqiLh6/hL/6q3fZTxaNjQuVyX89U7Jfw2F1tg1jtZWQs3/GguHSusTEmxv5y0Yh5qiskd54uK4izMRxSxJOXeMOZ4yoS4+m4Rz7YS8wPacuEWZ/D9/+9XbxMJ5XwtYE4JcvivH7N/7zbprWtyphPgzw6ONiQ3TXb36vXEzYihXCA+zTn/4zBge/roSgA5H9+r532v5mPpTLfs1mxVREJVFntK0k7DjL25M6FdIkAM4JiDerzZetlt54eGXDAjK2qIsuEZ+H3nx1lzNG1MVqYhABFiNMiO2FUdlMiBM9Brmw/eI1IS5zy25rYvY+yL89sk08TOdJHdyvRKqEua2XL2z9d/GgYEyYyokSy5YKL8Gv3vhR5bJfVRR18VXL+Mx7bCEeLFcmTcIcSPG1x54GoOsXB6S2MundM8T3fneAiX1ikFJhi7oPnLdIb766yBkj6oomxMcdwcpmQpwe2fuS7ddiXVIS3VvJOt5Z9tahCqkSia5uprK2AFcwJkwnSsiJiqIO4O1ni2PKy9/5J0qkSZgDKTq2P83EkcMAHPaXS+1Rd/szzzN+9DAzE2MEIhWE5omlqp17D3vcmVqcMaKuaELsiLpB8YdsJsSx2gYI+4Q9y7QFOfltTdLDByBoC9XpfGldYkRM2EsTJVSJCVN5UqeqqDN7B/jFc+IXwHVfuE+piLCxMWH9oYrxcKJvF5npfMn2q8wedcMT2dn7dEtixZ8tvSThLmeMqAPbhNi5m/kCOFcwZLpXZ7QliIajJdM62W1NYnWLZ0XdHH8w2VMlXhITZgsFVWLC9KROLpzs12l7UWL/0Umlsl9VS5MoetEd51Mnq0ddXUWYib32fbqzGkvqGvc4o0RdrCYGlcBChKATSUBS3atzbE3K5wufojr/fOltTYz2jUQqKsTDdB4sS4lUCaOznWg0wlw/N1ViwgCefPJ3AHzrWz/S2a8SUMx+tWwR7i9TJvvV7N/NP31HfP/d8eTz0psOg+1FZ1lzJnXVs3UJWdmwgIkXfg9A5dliMUIvSbjPGSXqXnKvzvY7lO1eXXxVG+/8U7HVNbz/oPS2JvHWNdz2+X/CZ/uenT2vTolUifi6VpKbO/HZE61zFtcqExNmmju4/fbH7Ce1sl/NbU9x13efBOALW7ZLHw/mUMx4LaiV/Wr276bjjh8yOiYmdaMzfiXSJIyW5USsaZjJCZuWULm0HnW9e4b4/u+HOOaIuth5gF6SOBWcUaKueK/uPLsgvr+ku1dn9vewY6/9RjOhhq1JvHUNTWcLz5kf/N9u6QWdQ3xdK3W1YhL85Hf/VQlBByL7NZdz7gmqk/1qbnuKjuvvZty+53P4aEaJ3FeYm/06O6krqUtKomcnmdwMTNupLWXlSqRJxJsb+eIKO7S8olpqj7rbn3meqemZ2UndOW8A9JLEqeCMEnVg36tbijgRewGw72jKdK8u0WMwXW6/odobsCrYmuw9egiAd197hfR2JnOJRsVxSSYj512Yl0PV7NdE1wNkJqdnCz6fErmvMDf71Z7U+QJKZL8WUyMcUWebD8ueJgGwolq8Rb/zLedL7VE3PJFlcngf+ewUoXm1hKrnFesadznjRF3Rr64BKFDcgpXpXl16ZC9U2YsFx/KldQkxex+kY8uN5HxCoB44OKSET51DhX1fcGJiwuNO3EPV7NfZfFfnc/IdV5cXJ/sV2z4otrhWiezXYmrEcTFhsqdJAHx75y8AeOJogaatD0lrZ1JXEWb8hT0AVJ5zXkld4y5nnKgr3pPbDBoAACAASURBVKs77ghWpnt1sdqGWVE3lp/dqpTU1iTRvZVMdgrKZm1NVPCpA2FA/FxKbOR84MrrlDEeNowNhMNB+0md7NfZfFfrFepys+F9fwJWAZ/Px+B/XCe9oAORJhENlc2Z1JUrkSZhDqS49YfCeJiq+aRGM9L61K1sWMB4uvQ+nV6SODWccaJOhXt1RluCSHUUgj7hVZe1pLY1KfrRHedVJ7tPnbmtl47ru8jNOBPIYWUSJeLxS9i40bn3qE72q9F5GdFIcE7Fp1Tuq2M8HAqFlNnsja9aRvKqSwkWhFXL4rr5SqRJJPp2MX3Uvs5QJX6pkNGnzlmSGH9BbMs7kzq9JHFqOONEHdj36hqAMDAC2CcrqVE5fgOKr2rjtk9+hUBNSBSO5YmEIt42dRIU/eiOE3Wy+9QlurrJTGbBZ39eVkGpRIn3v/9PAXjve9+iTPZrfN0KkpuvoCIqfrZq51fo3FcJiK9aRqxaiPEffWGD9IIObD+6Y/abU9WC0rpE3P7M82TzhdlJnS3q9JLEqeGMFHWxmhgEEAsTAOIXCHz4pDmCBaDK/vIdyzMyfljaDVijfSPRcHmJAbEKPnXF5AjHgNi+oK4TJU5v4utW8JEPvA2ALTf8pTKCDuDuR38OwNjkDE3rtypjPAzqmQ/HaqIwZgufqvmldYkYnsgykxln6tAB/MEg0bPOKdY17nNGijqjxcCHD5xf5n4r/rCwpDmCTfQY5G2/XmdZQtYN2HjrGpKbbqJ2wUIAov6gEj51xeQIvzOpy5fWJedMSJTw+9V5iTR7B9j0rw+LB38ZqYOjyiRKmP27GT58FICLv7Rdeo86ED51vnFnUidEnYw+dXUVYY7ZU7qKJUvxB8qKdY37qPOK9RqIN8exsGZF3fMUrU1kOYIt2YAdk38DNt66hrv+sQuAd73pbdILOrATJSLh2ePXQl6pRIk++27PE0/8RrlEiUJB3INUSdQluvuYmrKXCexfNFRIlDD7d/Opf+vDmskBPl4Ym1bCfPiK5TFCGdsYumqBtD51KxsWcGxQTE6qlr4R0EsSpxJ1XrFeI401jSIy7Bwgj3RHsLHaBqh+qa2JrBuwAE/97lcAPLpzB03rW6W3NHESJaqrRbzPvKqoUokSX/rS/faTpVyixLZHxDHlxn+6TwnjYbCTIxzjYV9ZaV1iEj07mXTsgoJh4S2ogPlw985fkp3MQDBMrL4Wo2W5dILOWZIY2/NrAKptUaeXJE4dZ6yoKx7Bvsku/Eb8IcsRrNGWoKzGHl8fE1OFYCAo7Qas2fsgX7rv38TDdJ7Uwf1KeNXF17Xy+b++AoBrr1yrhKADkSiRzTrHruolSmQyYpPy0GHFEiWs0oiwYl1i0iPjkJsUD3MWxmQ2HzYHUvzdt38gHqrmkx6blNLOxFmSGNsjJnXV574Z0EsSp5IzVtQVj2DfaBeeQ0zskOcI1ldZJr6CkwWYtqS2KEh0b2XKmSLY26+qeNWpaD4skiOcl4/CcXV5mU2UsH3qFEuUCDtazo4IUyFRIlZbCdMvFXUymw8n+nYxdVh+O5PhiSy5Y0eZGt6HPxQm2tBYrGtODWesqAP7CHYh4n9TgK3lZDiCTfQYTBemodJ+lR7Pk5vJSbkoAbYnXZlfGPjnC1CwZuuSs+s5EUH31du/TdPq9Ur41OlECfmItzaz6fKLxYM/QGN9jRKJEkbbSsK2R50j6mQ3HxZ2Ji/dfJXNzqQyFODY8/Z9uqZleknideCMFnUvOYL9pfhDhiPY4kKEc69uNF9al4xY3WLw+UpSJYp1iTG39XLX/fZFdCtPau+QEgbEhrGB8nLnhVlM6nSixOnPu5eLO7d/tuKNDN67UXpBB8Kj7trV54qHUJTG2krpzYdjNdGX9aiTyc6kd88QkzMFxvaIu03VS8UbbcCHXpI4hZzRoq54BOu8rv0KaY5giwsRNY6omymtS8asV519gXt6RgmvukRXN7lp+3jS9qlTwYA4Hr+EL3/5SvtJJ0rIgqrmw29bLK44fOzSP2Ww6+NSCzoQdiZlGWHRIqudye3PPM9MwWLseVvUnStEXUWoTC9JnELOaFEH9hFsPVAHTFKMDTvdj2CNtgTRUGSOqMvjw8eH3vp+bxs7QRyvunClOD6pr6hRwqsuve/gS3zqinXJufzydwGweHG1cokSkXL7mKi2UidKnOaY/bv53DcfBWDbwH7prUwc/MdmPepqI0Hp7EyGJ7JYljU7qbOXJI5l1fO1PJ0440Wd0WKIBQPnFyD7HurpfgQbX9XGJ961HmrsydZoHguLb/74XilTJUAIuz99s/hCHDw4TKJ7q/Tbr7El9SUxYSV1yQkGxURrenra407cJb5uBS3vFBtU3f/8MWUEHcAPnhbeTd/Z8VslEiXM/t103PFDjhwRAuhYoUx6jzpzIEXH9qfJHRkWhepaJmcKf/j/6DSkMhRg6tABpseOEKysprzuLEDfpzvVnPGirngE64i63wD2e9TpfgT78LOPlh6/Wpa0qRIgbE2eti/VkptWwtbE6GynPFIuHuzjV1UMiFUVdaBuosS/PfQT8eALKJEokejZSSY3U2JpIrtHXaJvF5npPBw9JAo1ddJtvjr36Y7+9lkAapY14/P59H261wF1XrFOgsaaRqgFlgA5irFhp/sRbHpkL5T7odwHM0CmMFuXkET3VmYcywVFbE3i61q5ubNDPFh5GhsWKWNA3NMjvNvGxiZ0ooQEJLr7yOVsKwnb0kT2RImiF11R1EVL6xKSHs3AzDSMHxG50fadOpk2X537dEd3C1E373xxcV3fpzv1qPOKdRIUt2DfZheeEX9YWHz2vz7rWV+vxuyyxOwRbEldMtLDB2YXJXIzpXWJ2bDuzwBYVFvD4OP3KiHoTHMHn/nMv9tPBeUSJR7rF7/ZffLz31LCeBicRImXmg/LnChR9KI7znxYZo+6WE0UxmyPuuoFYGcsy7T5etD2oRu1RV3NG98K6Pt0rwda1HHcFmwAsSxhLx6NTI6cttO6lyxLHJ2RelkiVrcYQo6lyUxpXWIeekwceQ0dPKSMT10icQ+Tk3MTJSylEiWmpoTv2cGRcbUSJRyDb39ZaV1SjLaVRENlkLOnWKGI9B51RstywhO2R13NQkCuzdfePUMA5MaOkNn/Av5QOVWNYhtZ36c79WhRZ9NY0whR4M124ZnZf3a6LkyotixhtG8kXGH/Npqz759Jbmtibuvlszf/q3iw8qRePKCET51IjvBxvAGxOokSDmolSgT9TlKG+OVJ9kSJ+KplJK+6lGBeTIYW19dK71EXb27knVX216lmIQGfj0+8rVGazdfbn3kegKO7xV3Nmje8BX+ZeI/S9+lOPVrU2Rgt9nLBhXbhGYrpR6fzwkTpsoR9D03SZYl46xqMv9kkHnIzNNafJb2tSaKrm8mpaYrixyoo4VM3mxxRKup0osTpS7y1mQ++wzbpDZQpkygRX7WMhgrxVvb4P14ptaADsf36+LN2GHnNQvKWxTd/kZIm99WJABudsyThoO/TnXq0qLOJN8epjdRCEzAPGEMKz7r0yF6YN3v8WlKXkOp588QH0/k//BcloehH5y+1NZHdp84wNhCNhpib/6oTJU5/zltcBUDXtR9SJlHC7N9Ner/4ebr0lu9LbWcCYvt1+oj9+jCvDpAr97XSvkJTXJJYJu7T1euj19cFLerm8NUPfhWf3zc7rbO3/0/nhYlYbQNU+CHogykLJguzdckwex/ks9/4Mvh9kC+Q2r9XekuToh+dr9SAWHafunj8EpLJa/DbYvXss+erlShR1HRqJUpMToqFgkgk8ip/Uw7M/t186t9/QMFelHhxPC+9T116NDPHzmRhaf00x7EymR4f5VjqOXxlQWre8BZtZfI6okXdHIoLExciFiZ2A/YVodN1YcJoSxANR2G+LRqOyLsskejeymQuC8HZZQnZLU2MznaikbCwJgAo5JXxqYvHL2HhQnHJ/ic/2Sy9oIPZRIlwWHwPLqqrViZRwuwd4FvfexqA/3PHDqn96RwSPTuZnJgAy4KyMPgD0vvUxWqiMDrrUVdSP81xrEyO/OoZsCxqzl9OIBzRViavI1rUHUdjTSNUMpsH++TsPzsdp3XFZYkFdl7l4RlplyWK1iUhx9YkX1qXkPi6VpKbOwmFhQHx4oXzlPGpAzUNiOPrVvD25hgA9339U8oIuo4t25nIiGnPyMS09MbDYPvRHWdnUqxLygfPq58j6uTafnXu0x3e9VMAFvzJ2wFtZfJ6okXdcRQXJpyN+J8DU+LD03Va9/Czj5ZM6kDOZYmidclxXnWyW5rE17Vy8YXiBfmer16vjKAzzR0cODAGwMqV/6CER52DaubDie4+MtlpyNvi2x+U3ngYbD+644yHi3UJMQdSfLN/QHydIpUQLscH0my/VoYCWJbF4V+Ku0sLlr+9WNe8PqjxiuUixYWJxcBSRMLEz2b/+ek4rUuP7IX5thA6LO+yhNG+kWi4vMSrTnZLExC2Jj/dJTI3P3rtF6S3MwEh6Do6biWfF5fP9u0bUcp8+OldaQD+8m9uU8Kjrmgw7PjUBcpK65JitK0kbNkpGfakTmafukTfLiaHhc+bc/RqAQ8/J8dphc/nY3JoL1OHhghWVlPVeH6xrnl90KLuZfjqB78qPnBeF/oRMVycntO6WG3DrKgbzYP9RivbskS8dQ3JTTdRXlkhCtkZIvaxpayY23rpuL6LSfsoeXh4RAmfukTiHjKZHHO3X1UyH85lxUTrwCE1zIeLBsOF2UldSV1S4quWce27bJuWUITG2kqpferEkoSz+SrXkgTAWHaGw78UR6/z33IRPnvSrY9fXz+0qHsZitO684F64BglZsSn27TuQ299v9h+rQoIb72x/GxdQvJl9rdlboaRsaNSb8AmurrJTGZnt18LM0r41M2aDDu/gReOq8vJrPnwrKWJCubDRnsL0XAQ8rOJErIbDzuMj9nxP+EKbxtxgVhNFA7bU7kFZ5XWT3OcJImRZ8VF9AV/clHxn+kkidcPLer+f/bOOz6qMm3/3zM1k0YqLUAoSlFRxAYWRI0LIisolnVHxcKKoL7ovuq+u9mqRve367qyrsCyWFBiWxHUFUFBBUEQKUKQEmoSCCG9l2nn98dzykwSEBGSeca5Pp/5ZOY5c5IzmWTOde77uq77KJh5zUzx27lcW1hN2Fbrlmz9RNxJ0YiD1oI11iVC9rzn8OryC01TJ7MD1syp0yqpWqSJ7Dl1Zsiw/hESaeHDOiIjfNidNZS5//tT7BZBvnukJ0dE8HDu2nxeWSEcvcTEUVBRL3WkybjTuweROqEllsUk8eLm/fhbmqj6VrwfqcNGGtuicSYdhyipOwqMat0QIA2oAbaa28OpWmdo51I04lDhC12XCIVlJab7NahkL6sD1sij08OHA5GRU/fjCR9WWq3LC3fWUDJShO5s9QtTpSd0ICJNvA114oFWqZM10iQ3r4D5WwpCSJ1MJonShhYqt20g4PWQ2H8IziTzAi8aZ9JxiJK6Y8Co1o3SFlYRUq2b/uH0TjqyUBjauTQt1qRc6GZS4pI66YhOHH3Su4NTJ3Xe0HUJYebUme3XSMip08OHnU4HAN26JUZY+LDZfo2U8OHc5XkUloj2+KiHX5M+zgS06JKWBvEgqP0qY6RJ9optNHr9IaROFpOE3not3/wlAGnDLzG2RSdJdCyipO4YMKp1ZwHpQDXGlAmAORvmhEUbNmdSNnarHVKDKnUBlbqWBumy6nKmPIQrQYsj8PhAVaV2wOo5dampKQDEuewRk1Pndl/GpZeeAcCCBQ9IT+jADB+2awHYPbp1iYjwYT2nLuD1AHCosikicur6pMa3S+pkjDQprGmElmaorxbu5MQUcz3M8eLm/agBP+XfrAUg7dyLjW3R1mvHIkrqvgNGtU73HKwEtFikcBkf5h45iURXAsRYIMECfqDaj8fnkS6rzp01njvHXQ82K6hg8atMHjMBd9b4zj60E4Z7Yhazn3oUgLGXnRcRhA5ErMmaNUK75Hb/PSLiTEAQu0H9RXt82av/Iz2hg6CcOt39ao2MnLqcSSOweHRSJ4icrJEmfbrEQpUWZ5LcDTTnqAwmidKGFmr2fIu3rpqY9J7EZZhELtp67VhESd13IMQJ2xcRRBx07goX00RlvSbkbtWClU1Xl7v8v8xf9p7Rgg00eZi/7D1p3a869Jy6hR9+St9LfyZ9pImeU9fcLPQIpaU1EZVTt2uvaHmNmfxP6eNMQMujUwPiBoYcQPacOgDFo1WynHGkxjmljTTJueosHLWagSpFECEZTBJ667Vs42oA0s+92Mili7ZeOx5RUnccmHnNTPFHqlfrvgKCzHDhUK0zdXVaC7ZcnGxl09Vlz3uOxpbmoFFhXqndryCy6mbOf088CPgoOHRE+qy6SM+p8/rE/8/hI7WRk1MXNE0C7aQrc05d7tp87n3lc/yNplGiyevv3IP6gbDplbqU7qS67Mz96Xlhb5L45/rdqIEApes/AyD9/FHGtmjrteMRJXXHAfdQN/edfx9kIGbC+oGPMAxy4WCaMHR1RqVOnJRk09UZLldnqANWVvcriKy6Fv1ko0WayJ5VF/E5dYZPQomYnDqXXXuvtGkSsufUZS9cJ1rKQZo6mZ2v936wkcYjepJBd5p8gc49qOPA8n1HqPP4qc7Po6WyDGdqN7qcblYWo63XjkeU1B0nZl07S7RhfwI4gXxgp7m9s00Thq4uxSbOs1U+8KnS6eoMl6tTI6ct8s9/LSwuNXPqAv7QdUkR+Tl1GqtTIien7ul7tNBNi53Mrl2kz6krrKgHb7NoKdscYLOb65KhPedro9dP9optnXtg34EXN+8HoHSd0GZ2G3GlMUUi2nrtHERJ3ffAzGtmQgJwpbbwEaCNHQwH00RlfZWYLJEkTAZ6Xl1BxcFOPa7vA3P+q95+lX/+a5+eXUMiTULWJcWPJ6eu9bq88LQ0izv6BYbkiDjnK0BFsfiqTZMId+draUMLAZ+XI+s/B6D7CNMEFm29dg6ipO57wDBNXAD0AGqBz8ztnW2aMHR13bQq1xERX6CgSNOC1ee/xiclioUWr/TzX3MemYIrTnOwqX4R0yJ5Vp2eUxcfL8JsU1JiIyunzoASETl1ucvz+P28j8UDi52C0hrpI01yJo3A6deIaiQ4X5sboa5KVB2T0s31MIVukKjctgFfQy1xGX2J6y3m8CY6bdHWaychSuq+J2ZeMxPFosB4RJtzHXDA3D71g6mdc2AIXZ2CYpK6EiGMVlGlasECeK2a/qdF/vmv7olZ3DlpHCji381iUZl8w9gIiTYJbb/KDj2nzqr9/fXsnhQROXXZ81bQ3KwRIE1TJ3ukiXvkQLIGaEYwZxxWi8LkSwZJ6Xwdd3p3KNM6KmkZRpzJuNPDV3byz/W7AShZvQyAbiOzDNfr/Rec1mnH9WNHlNR9T4SYJvSixGKMNmyDt6HTqnXukZNQUU1SVypCiEGuFmz2vOdosWokoVkQU5kdsLmLlzP/3aVGCzbg9TL/3aVSu1/1SJP6elENrqysjZhIE/fEC8noJlyhXy58VHpCB1p0SSDI/Rq8Lily1+bzyaZd4oEzDn9AZf6aXVLOfV2yu8QkdekZoethCN0g4amppGzTFygWCz0uGWNsj1bpOg9RUncCmHXtLHFnFNAdMWniY3N7Z2rrMlN7QawVEqzgU6FSaLhkasEWlpWA3QoWBXx+0Fxgsjpgs5+ZR2NTi6llUv3Su1/NSBPd/apGRKQJiFiTQyXCGHHJjc9IH2cCeqSJpucM0tTJHGmSvXAdnoZa8SBG7rmvhTWNQaSuV+h6GEI3SBxevRTV7yd12EicKaJlHDVIdC6ipO4EkepKBRtwPWAFNgLbxbbOjDgxWrDddV2dfC3YPundhevQcMB6zHUJYbhcLaFmCZndr2Z0iWmUCF2XE3pOnd8vXs+hksjIqcuZchUOvfptFf9XskeaRNLc1xSXHcq0OJMgUheumrrShhbUQIDiz4UkpufonxrbogaJzkWU1J0gZl4zU9zpBujSqPeASnF39obZnULs2rRgNV0dyDNdwnDAxmivodmLAowbMeqY+4UrDJdrq1gTmd2vbSNNAq3W5YSRU2doBCMjp86dNZS7f6Llh1lsERFp0ic1Hpr0Sl1C6LpEyM0roM7jb1Ops1uUsJ4mUbVjE02lxThTu5E69AJA1O2jrdfORZTUnSDcQ91MO3+aeDACGIzQ1b0NaDyqs4hdalxykAPWa+jqZJku4c4az+QxE0JInQrSjgvLeWQKsS5nSKyJ7O5XM9LEbL9GQqSJkUenqu2vSwyPRxP+WuzHfqIkyJk0AmuLVpVzCVIno/s1e8U2PI2NUFMmqvnJghQlOu1hOU1Cd70e/PhdAHpefi2K1oWIDLuU3IiSuh8AI5BYASYAyUAJsNR8TqcQO0WBeIu4eVQjr04PUpUBS9atCiF1IK9Zwj0xi7lPPUJcvKggpCbFMfepR6R2v+qRJklJ4mSamOiMiEiTNnl0+jgtyXPqcpfn8drSjeKBxRYRkSYASrM2IsyVKO3c18KaRijXuihpPcEqCFJlk6cTj+ro+Of63TQUF1D+zZdY7A4yrjBbr1E9XecjSup+IGZeM1No2FzATZj6uq/M53Q0sausrxInowyHWCgWHw4V9ZUddgw/FIVlJW1InbEuIdwTs7j4gmEAVFRUkv3MPKndryCI3e9+dxMAd989WnpCB8E5dWb7NRJy6rLnrcDr0SNNxP+VzJEm+txXX4Pm3o1JkHbua4rLDqVF4kGY6+lmrsunzuOnaOl/AOh+yRgcieYFT1RP1/mIkrofCCPiBKAnomIHolq323xeRxI7I4RYJ3WH5Ash7pPe3TRKBJE6Wc0SuYuX89l6rSri91Jw6Aj3/uYZ6Ynd1q3iZPTccx/Qt+906SNN9Jw6i0VU6Hr1iIycusKyGvBr/0dWR+i6hMheuI5Gjw+CKnUyOl8NPV2JcJPSvS8Qnnq65fuO8H7+YTy1VZR8KbLpeo+9ydgeDRwOD0RJ3UnArGtnmfq6sxFRJyrwH+CI+byOInYhDlgFKPNBS0AqB+y4EaPMSl2LN3RdQmQ/Mw+fX2t/a+5X2WNNcnO/4I031mqPAhQUlEdMVl1wpS4SICJNtHZekKZO1kgTY+6rzyMqj/YYc10iZK/YhscfgMMHxEJ3UekKRz2dHjZcuPRtAl4vacMuJq5HH2N7NHA4PBAldScJIcRuNHAm4AFygaCL4Y4gdoYD1mGBrnZxfjosiJEsIcRL1q0KijQxQ5SXrFvViUd14igsLjXaXsHzX2WONcnOfgOPRyc/ovUle1adHmkS0CJNDh6uiZhIEyva351NVOpkjjQRzletSheTYGofJXO+FtY0QiAAJQfEQo++QPjp6YLDhg9+sgiAvtfdbmyPVunCB1FSdxJhEDsLMBHojZgP+yoQdAE5e8PsUz51IjNV02ZI2oItLCsR4cNOLQZEq9bJqqnr07NrUKSJN3RdUohMutBIE3NdTrSJNFEiI9IEwKpqpM7qIDXBJXWkSc6kEVg9eutVmHXsVkU652uKyw5VpeBpgvgkcdPXwwh6la7gwzcIeJpJHTaSxAFDjO3RKl34IErqTjIMYmcHfo7IsasAFgDN5vNO9YxYowXbSyN1RS0QUFFRmZH7m1P6s08GDO2c3oJtkjuAOOeRKVgd2nuhVersdqvUsSYik64tqZM5q86MLomcSJPc5Xnc+7cP8DRr0wmsDpo8vmPvJAGUZj3OJFE8lsjdb0IJ0tP1C10PE+jmiJaqcg59+h4A/W+429h+3cAe0SpdGCFK6k4BDGLnAm4HUhBRJ7mEzIg9lW1YowWbbIUECzSrUCoqRBUNVWFfrTMCiF0aEWrySB1ADKBYQkmdEkYf3CeCnJxbcTr1CAPRfpU9q65tdIn8kSbZ81bQ2OIN0tQ5pHa+gjBK+OpN5yuAxxeQzihR2eSBwxqp01qvxnoYQDdHAOxfPJ+A10P6+aNIyDwdEG3XGSPkipCJdERJ3SmCQeziEcQuASgCXsOo2J1qfV1mai+hNcnUTrwF5gdFuBsmjADiIFIncwBx9jPz8AVCjRIer09qo4TbfRljxgzXHgWwWi1Mnix3tEkkRpoYDtdW7ldZna+gGSKatWkSWqXOWJcIKS67qacLqtSFS5yJPuO1rmA3xSv/i2K10n/SPcb2aNs1/BAldacQs66dRbwjXoQS3wV0AQ4iNHZN4jmzN8wm4emEU6Kxy5mULe4YpK7FSMqXwTCxZN0qiNWOvVEQUlkDiAuLS01Nnd8bui4pcnO/YNkyPbw2gN8fYP78z6V2v7onXsjkG0YY/ycWq4XJN4yQOtLEcLjqlTrNKCGr8xVaGSVcco4Iy80roLbFB8X7xIJWqQunOJPShhZUVWV37j9BVel11fXE9RSu3Kg5IjwRJXWnGHPGzxF3UoA7gSSgGJgPaLOo6z313PbubSe9auceOQmLYoE0G8RaoDEA5aJKZNWHy4cxCstKQip1IeuSoU/PrqBYEO08NSLmv2Znv0FLix74Gjnu1/nvmi28QEBl/rvrpHa/5ky5ilinPSTSRGbnK8C4szPNjLoYOUeEZa/Yhrf8MDTWQmxC2I0Hm7kuH4DS9Z9TvWsL9oQu9J042dgerdKFJ6Kk7hQjZEasXrHTNXYvAUH661PRjg2ogdAW7D4h6vMHwj99vU969yBS5zWqJzKaJXIemUJsbExIrIns81+Fy1W/OIhQ9yvyu1/dWUOZPOYcw3VtsTuZPOYcaZ2vuWvzmb9mFzRq7ePYJBRg8iWDpBoRVlDTCEWCONFroBHLEg56Ol1L522oY3fu8wD0n3QP9jizKhqt0oUnoqSuAxCSYdcFQex0V+w8ROVOw8kmdka0yQCN1O1vhoAqRbTJuBGjwGYBh00QOm2yhIxmdXYwTQAAIABJREFUCffELCbfMNZowVoUP5NvGCv1/Ncfh/tVabUuH3KX5zF/2Rbwiwu6gGJn/rIt0s59NaZJNGjvSVwSKrBka0GnHtf3QW5egfjLOqiRut4mGQ0HPZ0eYbL79Rfw1FTS5fSz6Hn5eGN7dMZr+CJK6joIIcQuAUHs+iFasK8Ae8znnkxiZ0SbpNogySpcsIc8UkSbGEHDrVqwMgYQ5y5ezvx3lxqkLuD1MP/dpVKPCcvJuZWYmEh3vx57XQZkz1tBY1OzaPkrClhsUrtfCyvqxWtpqgUUcHUx1yVB9opt4rKhSJsl2UuQOgU6XU+nR5hUbP2KktVLsdjtDL7nMRSLSReiM17DF1FS14EIIXYxgBsYipg88Tqw0XzuySJ2RrSJosAAMUqHPcJ+W9FQxfRXf/WDf8apgqGdiw0ldQWlhzvpiE4c2c/Mo7GpJSiA2Cf9mDC3+zJuuUV3ukaO+9UVYzMXlAhxvwbFmehtPlndr4ZJQg1ATDxYbea6JCisaQRPMxwpEFrbjAGAqA93pp7OaLvW17Dz5WcA6Hf93SHjwKK5dOGNKKnrYMy6dhYLblhAnD0ObMD1wCWI7tUHwBL0osdJc8YaLdj+TnEpWOSBZtEum/PZK2HbhjW0c3qlrlGfioF0sSaGy9USOipMdvfr22/rpoLIcb/+68mfaY8UMjOSmfvUz+V3vwZC40yMdQkx7uxMaNRbr8mh65IgxWWHQ3sFMe2eCQ5xwZ3ayZMknl27C1VV2THvL7RUlpE44Ax6j73J2H7dwB7RXLowR5TUdQLcQ93U/6ZexJ1YgKuBCQjN+XpElp0W/l7vqWfyosk/iNgZ0SZxVujpEARyt6jWqahhm1mXM+UhoTvRK3WNQhOkgnSxJobLtVWsiezu16amyHK/AgRU9bufJBFyplxFjEXTPFrln/u6ZGsBNFSLB7FJoeuSoNkXgIId4kHvQUFbOi+QfOa6fFr8Kgc/WUj55jXYYuM5c9rvsGiV0GjQsBywffdTojhVmDN+DpMXTcav+uFcIA14EzgAzAVuBbqBX/Vz+7tieLJ7qPt7/xz3yEnMeD2bivpKGBIj5sDubIIzXWBRwjazzp01ntue+hXootyGFmObbLEmOY9M4d7fPENjkPtVUWDcaHkiGFqjrftVBRSp3a+5i9cz7Xc6KVUoOFTFvb95HUDaap07ayiLP+rLO6sBqwOrRZHa/VpYUQ+NGqmLSwpdlwC5eQU0eP2wf5tY6Gdq6DrL+TpzXT7v5x+mdu8O9rwpYrgG3/MYrvQexnOOFWGytqic1/MKqfcePVUhzm7FPbQPI3unnbwDj6INopW6ToR7qJv5188XrViA3sC9QA+gGvg38I3YpKL+oCy7mT/XqnEZDkiwQkNAtGEJ73FVmV17iParRYEWH2gfGinxid+xZ3jBcL/qpM7vQVWR2iwhXK4KZnVBDVqXE9nPvE9To35iFa9L9kiT3OV5fLBaIxBWO/6AKrX7NSXOaTpfY832qyyauuwV28DTojlfFcg8w9jWGc5XndC1VJax9R+/RfX76JV1PV3PN1MGXDZLiI7u1W/2c/d7X3OXdpu7af8xCR1Ag9fP3E37ueu9r3lgySbWFpWfstf0Y0aU1HUy9FZsSOTJ3cA5gA9YDLyHMFNw4jo798hJ4o6iwGDNMLFTjLVQUcPWMJEz5SHsNrs5WUKr1tU1NUqnq1vy+bogTZ1ov8pslsjJuRW73UpwrIndbpXa/SqiS7T2q9J6XU5kz1tBS7Om59Dar7K6X3PX5lPX4m1TqbNbFWmCh0U+3S7w+8QUiViTjHa081UndP6WZrbOzMZTXUHS4GGcduv9Ic97aMRA1haV8+CSTdz13td8VlBOsEihubaa4i3r2bVsEZsWzGL9S3/nq38/w+Y35pL/8WIq9u4k4PMZz9cJ3tQPNkTJ3UlGtP0aJph17SxAkDbsCANFJsI4sRk4BNwMpJkTKNYUrjH2Ox5kpvYSrdbTY2BzAxz2QrkX0uzM+ewVLjn9QpP8hQncWeOZ8c+nqYh3Qn2zIHVJsXh8XrLnPYc7a/x3f5MwQWFxqSlUj5BRYYqiIEidH/Brj+VFn57JFBQd0R4pIeuyIsT9GmSUkNH9mr1wHR5foI2mLtHllCJ4WM+nU43Wq9kCT3U5OtT5qhM6NeBn+9ynqDuQT0x6T4Y++CcsNkENYu1WusXFkJtXGLKv3+vh8JavKVy/ipJtG6ktLmzvR4TAHhtP5sgrGHzNJNJOE9VJT0Bl7qb97K6o445h0ZiUk4EoqQsjhBA7gOFAT+BtoBShsxsPnE3I846X2OVMyua2udPAYYHBLtjWBFsa4aouRm5duJE6gMq6miBdXbOxLpuurk/PrhTs13Q/fk/IuozIzn4Dj8dHcKXO4/GRnf2GtLEmOY9cx53/Ow9RUxCvy263SB1p0ie9CwXFbUmdjO5XQzfXqlJXWd98lD3CC0Y+3T6t9a3p6RRg5jXDOuw4DEKnqux8+W+UbViFLTaOcx5+Cnu8+LtIirGT6LTj14xDqqpSuv0b8pe/R8Haz/Hp1V/A6nCSOmAwiT37EJ/eHbsrFhQLLXU11JcWU5b/LXWHi9iz4gP2rPiAXudfykVT/peE7hkAfFYgqnVRYvfDESV1YYY2xK47Qmf3AfAt8C6QD1wLuMTzXtv6GnPGz/lOE0WIYeLMWNjRJHR1lT5IsVHRUEXu2oVhR+xS4hOpiKsVD4LMErLp6saNHsHswiLxIOANWZcRpiEidFSYzEYJAMVovyraY7mrjzlTruKO+5eJd0cjdXarRUr3a5/UeArKa01Sp1XqZNHTFdQ0Qn01FO8T+trMwUDH5tMFE7q9b83h8KolWBxOzn74adL7DiA5xoFFwai6exrr2f3Je+xatiikIpfSbyB9LrqcjOEXk9JvIFb7seNYqg8eYPfy99n10Tsc3LCakm0bufCehxl49UQgSuxOFqKaujBESJYdiKDiG4HrEK3ZbcBshEsWsx17PCaKmT/PEScplwUGusTilgZje1hOmVAUiNN0gA0txgxYJGv1hWrqfCKjSl+XEKYhInRUmOxGCa9X1/5oJzWvX2qjBIDi0y6GbOL/SNY2ucioqxETJWISwOYw1yWAApC/CVCh/1lGPp21g96PYEJ3YPF8Cj96C8VqZegDj3PasPNJdQl3tKIoNFSUsuGVf/CfKT/l65dnUltcSGxKOmffdBc3zH6X6/6+gGE/+wXpA8/8TkIHkNSrLxfc+T9M+tdi+l56Nb7mJr584Sm+fuk51ID47PisoDyqsfuBiJK6MEUbA4WCaMfeB2QAtYjxYp+A1is6LhOFe+Qk7rviTvHgLJcoshR4oFRUjioawk8QXllXA06bmAPr9YNHvOCK2upOPrLvh8LiUm1Mk+6A9ZrrEiIn51ZiYx2YHyN+6ceEFRZXBV00WELXJUX2vBX4PcIUpZM6j88vpVFiydYCqNNO+glpoethjty8AlED3rVBLAw8z9jm74BsxJAK3X/msn/xK6BYuHTGnxh22WhcNiuKolBfepgvX3iKhVMnsm3xAryNDXQ7czhX/vqv3Pjv9xjunkZij17t/ow4u5V7h/fj5QkXGLd7h/cj3m41nuNKSmH0Izlc8uDvUaxWvn3/db6c9RSq9jt4Pe+79XlRHB1RUhfmCBktBpCKcMeOQhC9NcCLgKbt1qt2Wa8efVD8rDv+n7gTZ4UztGrd1/XGySzcnLB90rsLMhSvVevqhH5GtskShnbOGuqAlVVT53ZfxuTJo9HbrxaLKv2YMGGI0IJ6I8ko4dM0ZzZn6LpkKKyob5fUyZBRN+OjzeD1mHq6IFKXeYqjTExTRIDduc9T+OEbKFYrl//vEwwY9RMURaGxsoy1c/4f706fRP4ni1EDAfpefBXX/uVlrsmZQ5+LLjeCiHW0JnH/HDe8TQ7dyN5pPD9uuEHwdJx+1Xiu/v1MrA4nu5e/z8ZX/wlAvdfPq9/sP6W/j0hGlNRJgDbtWCtwJXAXkAQcBv4FrMQYMbZi/wpcT7qOWrVLjU8Rd4bGQowCZT44IFo0sz97OayInTFZIlEjoLV6FItckyUM7VwrB6ysmrrc3C+YP/9z9I+RQMAv/ZiwnEeuw2bTyZz4KrtRIiXeBf7Q9ivIaZRIiXO2S+rCXVOXm1dARZNXBA57W6BHP+hiyhROZZTJox9/w/v5hwl4Pez49585+Mm7WGx2Rj/2Z/pdejVN1ZV8Ne9ZFt53A7uWLiTg99N/1BgmPv8Wox97mvSBZ4Z8P4dFMYhceyTuWBjZO417h/czLpd6nnMhVzz2ZxSrlW2LXmPfyqWAaMNGid2JIUrqJEGbdixAH2AacD6iuPAZIrBYM4U2+5u57d3b2m3JGmHEDgucq5HFrxvAI6oUsz97OWxmwrqzxou2RYJG6urkdMAa2jmLGUAcsi4ZsrPfoLHRQ3D7NRLGhCl6J0xrv8pslMhdnkddkyeoUidInYxGCSOjrj6U1MmQUZe9Qosw2fGV+BpUpTuVUSaPfvwNm0pq8DbUse3ZX1Hy5cfYnDFclf03MoZdxJa3X2ThfTew479vEvB66HvxVUz8xxuM+uUTdMkIPSadzP3rp+f/oKkQI3un8Yvh/XBaxf9Xr/Mv4aJfPALAl7P/TM0h0UqP6utODFFSJxnatGOdiJiTOxDBxSWI6JPPMap27Rkp3CMnmdW602MgzQaNAdhkmiamvvK/p/KlfC+kJnSBBL392mS0imVywBrauVbtV1k1dW3dr/5W6/Ih+5n38foixyiRPW8FHp8fDKOEaL8mxjmlGxNmZNTVaX9fGqmTIaOuoKZRtF63axdwZ11ibDsVUSbL9x1h/OtfsKmkBqqOsDXnQcq3b8aVnMbYJ+fQWFnGu9Mmsfn1f+FrbqTX+Zdy3XO5jH7saZJ69w/5XnqL9YeSuWCM7J3GnPHnEadp7QaNuUEzTzSy6u+/J+AXnyVRfd33R5TUSYg27ViA/sB04AJE1e5zRNXusPmU1kYKwwlrUeDiBHEO29lsmCYaPI3h04ZVFIixg90qzBIt4hibvZ0zK/FEYGrqQtuvKV0SOumIfhhMl6uus/G3WpcPwiihaeqCHImyGiUM3VyrSl1lXVMnHdGJw9DN6e3XeEEwZMioUwB2b4KWJtF6TRf5bBbl5EeZLN93hD+v3kmTL4Bv9zes+d291Bw6QFKfAZx3xwOs+eeTrHn+CRory0gdMJgxT8wm67fPktL39JDvMyQ1/oRarN8H7qF9AOHGvnj6r4lN7UrFnh3kL1sERPV1J4IoqZMUejt2wQ0LcFg0kuBE5NdNRmjt9KrdMkC7UA+u2oU4YVNsQl8H8EUdeM02bDgQu8q6GnGS1at1teKDvKG5SRqzRM4jU8RYrVbt17qGRinnv44bN1y7F1qpM9flgzBE6P1XS6t1+WDo5lqROmn1dN5maK4Diw1iE831MIbhes1bLRaGXmpsC5xk0+vyfUd4evVOYqwKVZ+8xRdP/ZKWuhq6Dj6bmC7JrJ75R6oK9hCX3p1RDz/O+L++Qo+h54V8D70y99ilQ07uwbWDkb3TuCJTEEZHbDwX3vNLADYumEVjlSDv0Tbs90OU1EkO91A3Lb9r4ap+QfqYfgitnS4zWQvMQoQWa9CrdpecezbxTq3id3YsJFuhzg9rTTdZOOjr+qR3F3cMs4SZZi6LWcI9MYvE+DjTgaiJ1z1en5TzX5cs2aTdCyV15rp8EEYJ/ZH8RomcKVdht1rM9qvVKaWeDhAXdfV66zXVjJwJ88y97BXboKley6dTQlqvJ9P1+ujH3/D06p0kqh62/uN3bF4wGzUQIKXfQEp35VGStwF7bDznT36Q61/4D/0vH4tiMSlAR1Tm2sMdw/oZxC5z5BVkDL8Yb2M9W99+yXhOtA17/IiSugjB8juWh7ZkncBYYArQA6gBXkeMHNOGM+hVu4vO0dxNNgUuTxTdtH0tsMdsa9w+d3qnErucKQ+JO/qHYLVJ6gpKD7ezR3iisrouqP1qto5l1NW11dT5Wq1LiggySgBa0LUfFCtY7dIGD1fUN0NtmXgQ5HwN9/ZrQU0jbFkFfp8IHE5MMbadLNfrox9/w86KehyH8vnk0ckUrV+F1e7AandQuT8fxWJhyPifMWnOu5x1/e3YHGZ1UzdAdERl7mi4Y1g/4uwiJ++Cu/4HFIX8TxZTrxnh6r3+aLXuOBEldZIid+NbpP22N8ov44zbbS/fS0O5CjWxUOMSt3gX3BwDl9vFNIrtwAvAeow4rhWlH2JN1MThSTa4SNN4ra2DcqH7UlGZ/O8HOo3YubPGY1EUQeoUoL4ZfKIyZLXI82fcp2dXsGofqL6W0HXJEImauuxn3scXYUYJb7NmfpI4eDh3bb54N6o1t3uX7sa2cI4zyc0rEKaur5eJhQvGGNtOlp5u5rp8DlTVUbT4FZZmT6Wh7DCK1Ybf68Hv9dDnosuZ+I83uWjKL4lJTDL2s8JJN0D8EOj6uqTe/el36dUEfD62vvOysT1arTs+yHM2jMJA1uzx3JZ7NxWNlWLBq8JhP2zzwQYvrPPCBh9s80NRAJoUONcGd8RAf6vQ1y0B5ipQIP4E/ClVEK9Vv05zCkesH1hRCw3iZO1X/Z1asQuoKlgtItpEBWqE2NsfCBx7xzDCuNEjzEpdwGuI8mXMqotETV1EGiX8oc5XY10iZC9cJwqoNVpVPkmQOgXCOs5kxkebRTZdxWFISAmJMjkZerpHP/6GjzdsYeUf7mfL2y8aqQCq30fqgMGMfXIOV/76ryHxJDqZmzfhgrAgczqC9XXn3DIFxWJh9/L3aSgXyfrRat3xwfbdT4kiXJC78S3ufuM+PAGP+ETY64dvfVAYMOJLjop4BXpZoL8FTrPAGh+UqPCyCmdZ4VI7pDRDQwxggRHxUOuHI15B7K7pAnYLKiq3zZ3Gy1+8wfLH3umIl20gs2sP0WrtEisCiGsaITXemCzhzhrfocdzIljy+TpBFqwO0X71e8AWI2VWXSRq6vr0TKZgb7H2SP6JEn3Su1BQc1A8kDh42HC+GpW6HoC4tgvXOBMjcHi9CNTl/CywmuOyfoiebua6fD7ZW0Lpp4vZ9NoL+INSAGJTu3Le7ffTf9SYEM0cCN1cZ7ZZvwt3DOvH+uIq6NWXzBFXcODLFexatojh7vsAWLjjUFgR0XBEtFInCaa/8xC35d4tCN0BP7zaDP/1wH6N0KUpMNgKw21woU18HWKFHhahr6tXYacflnvhEy90UaCPRZy3tvnh5WZYZwFnC6CCVYErEiHBApU+WF4LPvPScsWOVWT95cYO/R0YkyWSdF2daCvJNFnCzKoLbcEWHDrSSUd04ohETd240WeZs1+DPh7HjT51if+nEuNGnN4mo85YlwgpcU4IBKBG+z/RKnWpYex8nfrBBig9CDu/FtmUw83RjQonpqdbvu8IE99cw2cbt/DVH6fx9Ut/NwidLcbFue77uGHWOwwYfU0IodOrc+FM6HTobdgh194MQP7Hi43XWNEkT4RVZyFK6iTA9HceYvaX/xak6pMWWNQCVSokKjDaDve64HYXXOOEyx1wiUN8HeuEn8XANBfcHgNX2KGfRuSKA6LCpwCxiJbsp15Y2AAVTYAKMRb4SRLEWkTF7tMa8HcesTMmS+i6utomQ1cni1nC0M61csAqCtLFmhxNU5eSEtfu82XAks+3YTglgtqvYl0+LFm3G3xaJl1QpW7Jut2ddEQnhmafHxoqRbZjbBdwaC74MDV9TP9wIw3eAKwWeWsMvwISTD3bfef3/956ugeXbGT+5r0U/jeX92fcSvme7WKDojDw6oncMHsh59x0NzZnTMh+Q1Ljw67VeiyM7J1GnN1K1zOGkdz3dJprKjmw2vxsjLZgj40oqQtzGISuWYX/tIiqmhW4zA53xsC5doj7jg82RYE0Cwyzw8QYuM8FYx2QaRFmCd1IagHKVPigAVbXQKMfEqzwky5iPmyxF1bUCA2fho4mdlaLRQQQJ8aKc2+lqNaF50d7W+Q8MkWch1o5YFUV6WJNcnJuFbl7rdqvdXXN0s5/Fdo5XaMZIZo6r0bq7LGh65Igd20+DS2+dk0S4eh8zc0rYM6GfVBZAnlrhIv64tBInFnXnneUvdti5rp8Jr39JXu3bmbRtBvZnDsbVZu40H3o+Ux47nUuvv83xCaHkjaZqnOt4R7aB0VRjGrdzqWmjjtqmDg2oqQujJG78S2T0C1shpIAJCii+na+XbRITwROBYbY4IYYuDsGLrIJzV2w32CPFxZWwpYGiLeKip1TI3YfV0OL+eQVO1Z1WECxYYrQHW+VQmujghQhxO6JWaK7144DVrZYE7f7MhITY2lN6jwen7TzX/v0TDbbr4oldF1CpMS7wKtdtQWRupR4Vycd0fdH9kJNb9rKJAHh6XzNXrFN1Ho/fVOYbs4ZBcmmuz3V5Tiu77N83xFu+s9a1uYXsP6Z/+OjX/+ChjLxO4hL707W72cy9olZJGcOaLOvbNW51tCPu99lP8EW46JsVx61h4U2NGqYODaipC6MMWPRo6Ld+UELlKqQpMDPnNA19G276vQrUJ9tOOZtgful0LFiOrpY4GKHIHfXOKBrEFH0A5sbYWEFVHmFWSLOAmU++KhahBRr6KjJE5ldhUDaIHUV9cZJeMbzT53yn38ykJqU2Kb9CnKOC6usrKe1pg7k1dUJ7ZwRVNdqXUIotEvqpCltE2SSqDwkvib1MLaFo/O1oKYRDu6GbV8KLd3om0O2f9esV53MvfbNfvZ9kMt/7rmWg1+LyrfNGcNFv3iESXPepdfwke3uH+5miONFqsuBPcZFn4tGA7B/1TJj28IdhzrpqMIfUVIXppj+zkNUNFbAKi8cDIgW641OiDffsnhnPAvcL7F82ndXqNzn3UL9/ys9OsGzKjDYBj+PgZucIvpER5MKX9TDyjq4IB6SrFDth/9WQYkpXO0IYmeEEMc5wWEDj09k1gEVdTVSVOtQCKrUNYeuSwahqwvV1Jnr8mHJ59vMSJOgj0dZNXWVdU3tkjqZZr8aY8AqtLZbqhDSxzltYed8nf7hRnGRuexVsTDyWkgyq2XTvkNL9+CSjby2tYDanZt55xfXsem1Fwj4vEI395PrufnlJQy59mYs1tDgClW7sL0iMy0iCB3ApCFiPu6A0WMB2LvyI+N1Rg0TR0eU1IUhDB3dPj984xPv0niHcKJqiLPHUff0Edzn3fK9v39rgmfMjgWhv+tlhQlOYa4YGETuqvzwea3Q13WzQ4sKy2pgZ5NRLZv92cunVGPnzhpPamKSphPUKlultcZ2Gap1ldV1pmg9iNRVVtd10hGdOEQmXWj71VyXD0I719YoIaumLiXeBZ62pE6mSJNmn1/MfK0pFS3xpJ4AxNjDK5Fr+ocbmb1hH2z+DIp2idm0l04Mec7RtHR/+Gwbkxevp7ioiCWP3cXHv7+fxkoxPaPrkHOY9K/FXDz91zhi2283X9k3nZcnXMAdw/qd3BfVidANEz3OvoCYpBRqiwup2LPD2B5twbaPKKkLM+RufIs5X84ThGmFdjVyqR16muTKqlj5183Pn5Sf5z7vFlqeqWKB+yVSY1NCN6ZZ4FonTI6BQUHkrsQn3LBJVnH+W6dV8TSd3Yodq3D9ovcpCyme+cCvxZ2uYqA3pbUGqayoC38BeEqXBK39qgijRMBvrksGkUnXltTJmlUntHNt268yaupyl+dR1+QBXyipk2n2q2GSqDwIqJDcE2x2ILxMErl5BYLQ1VaaVbqxkyHGJNLt5dLpZG7PkQpW//33vDvtBsp3C1drbGpXxjw+i3FP/5uErj3a7AvmiK9IInPBcA/tg8Vqo9+lPwFg/xrTBRttwbaPKKkLM8xY9CgqKnzpFdly3S1iGoQGi2Jh/s//fUIVumPBfd4tlD9ZZFTvQgheigXGOeGuVuSu2i/OexbgQAu8XwWlYqxYs6+F2+ZOOyXtWCNkOClWtGCbvVBnfsCHfQtWQVQcbK1asBK2X4V2LsI0dcZECblz6rLnrcDj87dpvybGOXFnDe3EIzt+GCaJiiLxVWu9QniZJKZ+sEFcWH44D1oa4fThMPRSY3vrXDqdzB2obmDbwld4846r2bdqGagqthgXF937GDfN+4AeZ5/f5mepqoqF8Brxdaqgv7bMEaMBKPradNVHW7DtI0rqwgi5G98SOrqqAGz1iU+Cqx1iSCBisPirP5930glda7QmeIb+LkkR5O72OMjUWrYqpmu2ISAMFBvrjaDi2Z+9TMJ9/U561c5owerVuiNmhS7cW7BGm7VVC7aiqvYoe4QvIlJT106lTkZNnRFb0orUyaSnK9BNEgap621sCxeThJFJt34p7NoATheM/0VI+17Ppfv3xr1MXryegppG9q38iLcmj2HTgtkEvF4Ui4VB19zIra8tZ8i4G1FaZfDperKp5/XnRYmdrd8XqS4HXYecjSM+kdpDBdQcKjC2RVuwbREldWGEGYseFXdWewVROtMqWqAa7rt4yikndK0RrL+bdvG9YjFNFW3ZG7tAb3voDiqQ1ySqdkdE1a6+peGkV+3atGCP1BjDFMO9BWsGEGuxEhqpkzGAOFRT50MnRFJr6tS2pE5GTV1KvEuE9fq9ouqoZSPKFGdi1S5oKT8gvmqkzqKEx3gwQ0d3cI/Zdr1uGnQxL2riHTbO7Z7EnYvXs6aoguJNa/nPlJ+y+rk/0qJ9VvU450JufmkJI6c+htUe+pkaTOZe/hGROR2ThmRgsdrodd4lQGi1LtqCbYsoqQsjVDRWQFkA9vhF8WOk+c897eJfMOvGzh2FNevG51jgfgkFBZw+6O2Fq+PhxiTIaEXuav2iareuDjyilDf7s5ew3dP9pFTtjBZsoks4Yb1+KDMrXeHcgjUCiI1KnaicyBhALLRzFsyPErnnvwrtnN5+lVtT1ybORH9hf0iYAAAgAElEQVQ9ErX5/QEVmuvEeDCrHVIEqQuo37FjB8AgdDUV8NYzQht70TVwpllBHNkrhRuGZLCmqIKy/G9ZdP9NLH/iIRorRCZlSv9BXPfc61zywG9pKCvh0OZ1FG9ZT+muPBqryvH7/ewor2PlgTJue3c9v/s0r7NebqdBJ7F9LrwMgKL1q4xt0RZsW4SXfehHjNyNb4k7G0R1i7NsIfElnU3odLjPuwX3ebdw5l/OY3vJDujSAjjh6i5Q74fV9VDiNXfY2Qx7W+DCeDjNiT8Q4La593Hniw/yyj3P4x456YSPJTUxiYraashIhvwSOFQF3YSrb+rf/mgSvzCDe2IWtz2c064DVrYZsKZ2zo6YNecFbFJr6mbvXK09kltTFwlxJgqgHtkrHqT3Ay3Kw6jgdRIMQtfcCLlPQ10l9BkMV98OCDJ3emoCClBTXMAXz/6eir07jf1dyWl0HXI2DWUlLPm/e/A1t/+eWOK74Bp0LvHnjsJ1xgXk5hWRm1eEe2hvnrhSDl3kyUCqy4Hn3BFYbDZKd26lubaamMQk4u3W7975R4ZopS5MMGPRo1AbgF2a+WC4ybfbuFLDAN8+tpGrBo0GVEHs7F4xeWJsEtyQAl2Drhe8KqypExMqyr2Ags/v47a59/2gyp3Rgu3WReTs1TQamXUNLU1hXa2zWi1g19pg+olXX5cI5pxXvVLra7UuF0ROXWTMfhVxJmKMHo640HUJkLs2XzTzdVLXzZyc4O/EUp1B6DzN8OZfobQQUnvCzx7jJwN7MvmcTAamJtBYXsLS397H4vtvNgidRXPuNlWVU/Dlp5Tv3o6vuYmYpBRS+g+ix9kXkHLGuTh6n44lJo5AfQ0NGz/nyLzHOfT0fTRs/RJVVcnNK2LQP5bw3s4fR/tx0pAMYuMS6DZkGGogQEneBgCafNHpEq0RrdSFAQyDxDc+IUkaZBWTHjTMvP6Zzju4Y2D51CVMX/w/zF71IsR7oB7w2iHRCuOSodoHX9RChSagrw/Af6sh3QaXJ0K89QdV7txZ47ntqV+BzQrdk0SlrrAczugFhHe1zu8PmNUTb5NwXCoWsS4VdOKjf5R4W63LhdDZr5ZW63Kh2esDj2bKcQTF5Ujy1hjO1yN7xNdupxnbMjvJ+Zr16ues2F8GLc3w+tNQsANLYjJX/eE5evYWocL1pYdZ/fzjHNnWVoIQ8Hmx2OykDxpKj6Hn0e3M4SRnDsCZ0IXShhZ2ltcRA3RBaOm8pYdozFtL3ZoleMsOUfpSDrHnXEL6rQ/hjYnl4WVb2FBcGfFVu5G908jNK6TH2RdwOG8Dh/M20PeSLPyq0NX92HSGx4JcZYEIRfaSP4hxYNu1SIhzQ6t0HW2O+D6YNfEfwkQxagrEeyG2BXFSVCHJBj9NgYnJkBJUJi/zwTuVYoZsc4Dgyl3GI9+vzZWamCTu9EkTJ6sjtdAoRm+Fc7XOarWAxaZNllCNFqxslbpKbfZu60qduS4XUrrEtmuUSGknYyyckbs8j4ZmL7RopM5pkjpZ2q8FFfXgaYLKImH0SDez2DrD+XrmC0sFoWuohdeehIIdxKakM+HpufTsnUl96WGW/vY+Fk6d2IbQWewO+owYzaiHH+dnry7jmpw5nHPLFLqfNZx6WwyrCsrZWR4aPq4oCo5uvUjKuolev51Hyg1TUZwuGresofi5R/BViwpVbl7Rj0Jr1+D1012LeDm8dYOxHtXVhUKuM0iEoqCqSEyPaAJSFZFNpyFcq3StYZC7q++E5Ka25O66FLg+GZKDyF2xF96sgE9rtAgUheKKIyh3pZPxf8c36sZowcbYRbUOoMAsx0/92x9Pwqs7+TAqcnpbTGuTyVapM9usoZU6WduvouXatv2KIkl5S0P2vBXijqctqZNhmkTu2nxxp3iHINld+4Nd5Dp2tPN1+ocbUf70H7aX10HZQawvZsPBfOLSujE2Zw4Wm52PfnOvIHPfbg7ZN23gWVx8fza3vrqMK//vL/S/fCx2VxyqqlLb4mVjcRXfln73JBnFaqXLqOvIeGQm9m698ZYUUPLCb/DVVgI/DmKX6nKQdtoQ7K44aosLaSg39cfRFqyJKKnrZORufEu4Sb/VqnRn2YwTSLhX6dpDG3Jn9yJOkip0scEEjdwlBZG7Qg8sKNfIHYBC8ZFylLvScd3b65iaO3fWeOJdWhUlU6vWldRArahGhGu1LjOjm7hjtGCFrk6+WBOd7IRW6qTp8bVCZXUD7bVfxbo8MDLqWtq2X2WYJmG0Xg9+K772OtPY1pFyujNfWCr0c0C/ku04XvkD/sojpA4YzGUPP8HKv/2WhVMnUrpji7GP1RnDGdf9nInPv8n4v7zEwKsnGEQumMx9U1JDg1dIUxTAPbQ3+2aMY9+Mcfx9zDkkx9jbHI89PYMeM/6KI6M/3rJDHJn7RwJeUanKzSuKaI2dHm3S7cxhAJTkbTS2RaNNTERJXSdjxqJHURsCcCAg3o3BouKhoEhTpWsPBrkbdwckN7YldxO1tmyQdtAgd59UC3MFCs1eD7fNvY/Y6RlH/VlzHv6DuONyQC8tH2pPidFGu/2p/ws7YmfEmrQidbLFmlRU6FUG/QTkbbUuF0Lar4q87VfDDNFKUxcXY5dimkRBRb3QmR4SI7PoZcoyOkJPl5tXgP2Jd9heXscVvZMZsmEh++f8EU9DHV3PGIansYGl2feGzCJ1paZzyYO/49ZXP+bCux8iqXd/Y5tO5lYVlPNNSQ2NXn8Iids7Y1yILm7C4Aw2Tr3aIHjOIFmGNTaB7tOexJbWA8/BvVQsnGNsy/5UPkPP8ULXzfUYqrVg86It2PYQJXWdCMMgsUczSPS1Qqw4kaio0lXp2kMbcmfxY7S3kmxwfSpcnwRJQX+Kh7yQWwEfVUGzH1BoavKg3JWOcnc6099+OORnhFTr+qaB3Qo1TVBSDYjf5eSnfx1WxM49MUtwB31ah9esBMkUa2JqAEPbr7JpAw0oCqiasUexhq7LBP1wWzRto9Z+jXGEvzfOaL1WFEFTLcQlQ5I5+/RU6uly8wpwPbmQ3336Lbec2ZvxCc1syXmAHf8VkVO2mFhKt39D3eEiY5+U/oO45qm53Dzvv5x+1U+xOUVUkV6Z8/oD7CivY1dZLX8fc067JO5YmDA4gx0PjMU91JymYY3vQtc7f41id1C/bhkNW9YA0Oj1R3QbNtXloPvQCwA4HFSpS3U5OuuQwg6SfvJGBrKXaBWm3dpJ5HTzJJKZ3LudPeSFTu7UFytJSovB0NsBdLHDxFQRYhxsqDjigzcr4f1KkYGHAqrC7I8WoNyVTtbz1xlPNap1NiucprU2dx+BZnEF51cDYaevUxRCNXXazFGZ+IOpAQxtv8qmDdRRUdWAOe7M0mpdHlTUao5qo1IXb66HOaa+8pm4s187afc+O+Sf4lTp6bJe/ZyZa3dz81m9uaRHAltfn8OHj95F5b5dxnN8zVr8kKLQ+6JR3PTif7nu2dfodsYwY6yXqqoEAgGKahv5+mAFN53Ri6+mXMW3D1zDhMFH7zh8F564cih/H3MOsVo2m7PXAFKuuweAinf/RUA7ttcjuA07aUgG3fqfjt0VR0PZYRorhZbubH2yUBRRUteZKKgqgkYVDmqt1/4mockZ96fOO7BTjKq/FrHggRcg1kMIubPHwKgMGJsBKU5zh0o/vFMFb1XAEQ+iDKGwYtNaw1QRUq3r1gXSEsAfgO3FhginoaWJ6c893oGv9NhQVYQD1h4LqOCpN9clQWamHiUQWqlTFMjN/aLdfcIZVqvFINfBlTrZKo9Wi2JG5dhixDQGOj+097uQuzafBo8fAgGT1PU3h9qf7NZrbl4BCU8v4vKXPyMjMZYh6QkUfbWSRQ/+jLyFr6AG/CHPt9jtnDHBzW1vreKqXz9DXGpXY5temSttaKFPl1hW3DH6BxO51pgwOINt08fgsor3MeGSa3BmDsJfU0HVRwvEcQB//XLXMb6LvBjZO43LMtNJO/0MAMryRVVyzcHKqFlCg1yfVBEEwyCx1y/+C/tYIEZeg8T3hfu8W1BfqOGqoaOgOlbcmpyARThZR/WAa3tD9xhzp6YAfFQDueWwxQ/VcdDgMEwV/jThBENRYFAPcNhEIPFes505+/23worYAaaI3WPGgMhilsjJuVUrooRW6lQVsrPf6KzDOmH4/YEgUmcJXZcIYryWkB8QkxS6HsaYoV8IHNkDjdUQn3pKokxy8wo4f+4nfLznCJOGZNAvOY7qgj18lH0vn/35MRpKi0Oe74hLYOT033D726u58K4Z2BzmRadRmatu4PrBGSxxX3bKc+OeyjobAMViJfWm+0FRqF39Ib4qMX6suK75WLtLja2ltaQPEr/fsp2C1Hn8gahZQkP4CywiFNlL/oCKKqJMAE6LDIPE8SJ35WKmzv4NDS1NoCpQ2QKlTeJrkx882u/FqkCyQ8yPbdCclV4VNlfClkroFw9nJIHVShN+iGmGZqcgdGf1gs0H4GAlxDrFODEEsQOY9dDvO+GVm0hNTqSiqla0xhqOCKeixu+yn5mHe2JWpx7f8cDtvozbbnue1kYJgIICua6ccxevF5K6djR1mRlyzX5VALVJC0wOInXhXqmraBAZk+z9Snztf77Reo132n9w6zU3r4C5G/bRNzmOs7p2QVEUaosLWfuvv3J4y1dtnh/ftQeXPfRHup1xbpttemUu1eXg2bFtt59KTBicwYbiSnLzinD2GkDcuaNo2LSS6o/fIu2WBwF4b+ehk1olDBdUNHnoqpO6/G0h61FESV2noaCqSAQOF2knkL6iKhApBoljYfq/fsvspbminFPUAPnVUO87+g5N/vbXA8DeenFLc8L56RAD+L1iskWXWBjYA3YdhvzDYLMYs2HDgdjN/P2DYgasniHWUmtsk80s4ffrQmVPyLpMyH7mfa31HRppoiiQ88h1R9st7JC7PE8IGpo1UucyCWk4V+oMg0RzHezbAChwmlmZmzP58hP+3je9/SUuuxWLotAvOQ5FUagrOcTnz2RTsWd7m+enDz6b0Y/9mbiU0EkFqqaN8KsqTouFeRMvPOFj+qF44sqh5OYJw0bSmJ/TsPkL6r76hC5ZN2NP7cbjK7dHJKlLdTloHigibsr37CDg82Gx2aJzYDVESV0nQG+9qsV+UdhIVSBBnEAizSDRGgaha/TBhjJRmQOIsUJGHKQ6Id4OTu0f1BcQpK7RB9UtUO0RX1t3w8pbYOlBiLHAuWkQo0Wb9EwGrx/2lcKOQ4JIaiHFs99/i/yDBSx/5sWOefGt4J6YJUidIwFQhAPW7zX0T7JAtCZ1UtfSal0eFBzSSFCrSp2qgrsTT97fF0bwcFNbUpfZNXyDhw2DRP4aCPhEjEmiqVn7vlW63LwC3thaSFqckziHzTAylOdv59O//IrG8tALJ4vVxmlX/ZSLpj6G1RpKEHQyV9Xk4e5z+4UNWeqZEENxXTOObr2IGz6Kho2fU7fmQ1Kuu5uqZm9EVusmDcngpWYviT37UFtcSOWB3aSdNsSYA/tjHxkWJXWdAKP1ekCv0okPEAUlog0SBqGrbIa1peANCDI3JAl6x4uo+NZwWiFOIzl9NJG0LwAVzXCkCQ43hlbymgPie1tKBaEb0E2EEvsDYtLEjmJo9mpBxQorNq3DfvU5vPKrnM6bE2uxgjMRWmrELVZ8KOUuXi5FC1ZU6nSNUUvIukwQr6Otpk6211FQqgUP65W6GJPUhWvwsGGQ8HlgxyqxeMZoY3tqfEz7O7aDG95cQ4LTjqJAWpwTRVFQVZUdS95hw/x/4G8J1Zs54uI5/64ZDMya0OZ76S1Wu8XCvAkXnNBrO5V49OJB/HLZFlQg8bKfClK37mOSxrqxOJwRWa3T58CmDzqL2uJCynblkXbakOgcWA1RUtcJKKw6KO7opC5TqwhEcOs1d+ViQegqmmHtETEWrJsLzksDx/csm9ss0C1W3IamQI0HDtbDgXpt3BiiknewStziYmBoL6Gz210C+8ugvhkG9QS7VcydfepXvLx0UadV7YhJEoSuudogdbLo6kIrdR6E80eRrlJnHG+rSp1sr8NqUUSbtVWlzqIoYRs8fPeLWnVx5ypoqoGU3tBjsLF95s8vPeb+j6/8lm9Kqkl02kmMsRtVOW9LM6ue/R1F61e1sZUn9OjN6F89TWrf0AqgXpVTVZVeCS5yNFNCOCJEW5c5CEfv0/EU7aZh8yoSLro6Yqt1DV4/6QPPYu9nSyjf/a2xHtXVRUldpyAlNoWKsnIoV8U7kCEqAamxqZ17YKcIuSsXc/tzvxQt1K9KBfHqFQfD09qvzgGpCcnMvEfo3QxDRXtQFEhyituZGsHbUS2qeDoammHdHvGzuiZCRT2U1UHdPhiSAUkiCqUzqnaGWSImCWoKTMci8ujqRIULhFnCq90c0lW4jEpdK02dbK/DH1Ah4BcXCQBO0XINhGlWzvRXV+Lxq+BpgryPxeLwnx6XQWLCG6tJinGgKJDoNMlcybZNrHz2tzRVtjLrKBZ6X3gZl//ySWxOZ8gmncxZFIWXwrAqdzQ8ceVQPsw/THWLj8TLxlP++t+p+3IpCRddDYh4k0gjdakuB6kDBOmv3L87ZP3Hjiip6xSocEirBvS0gE0x1yMMuSsXM3nm/6L6A4LQeQLQNUZU6Fql7MbHxDLnvhzcl08MWW/9OMQ5q1WFAJPgjewmsumK6uDbavEzQayVamYEiyLasJsPQI8k0aYNqtpN+evvmPfoE6ec3JlmiUTR7vPUg68FbM7v3jlMYFayHAhC1wI4pKtwRUqlTjhfK0VlKqaLodEMV9/r7M+0Ssum96GlAboOgIwzjO2tDRL//Go364srsSgKyS6HQeQCgQCrn3+cfSuXofpDjVd2Vxzn3zmDQWNCP0sg/Fusx4M/jD6Th5dtIe6cS6l4ZxYtBTvxlh/GntYjIuNNJg3JYF5tPYrFQnXRfnyeFmwOZzSEmGhOXaegsrEKDmknigxr6HqEYcaLj+NXA8LhWuOBWJtwqbYidNPGuql749s2BK49uC+fSP2b21EX7WfBQ88R59TmXOqzZUGQtsxEGNcHxvWG9LjQbxLsAjxcDV/tgYMVIvQUxMzZpx7DNebcUzpezGivWqym9qnRrC7IkFdnVrJCdXWyVbiM45VcU6cCNIi8MuK6ha6HGc7Mfl3cKd0HO78Qv/ORt7RbpZvwxmomL17PhsNVWC0WFEVBURSKt27grbuv5dUbRrD30w9DCF1K/0Hc+OJ/cb/xWQih04lcIBBg6nn9mX/9RdISOhBtWAWwOGOIHToSgIbNQpso11/v8WFk7zQuP60niT0zUQN+qgv3AtEQYojM9zvskRKbYlbqMsy3oE9yr046olOHiroqqPVAvtYKGh6qoVNQWPDQ35k19ckT+v7BBE9ddIBpY28jhNyB+HmXpMO4AXC2pq1rDa9fjBX7creYGRsQFUCd3ClXnnHqZ8dqWrpgUjfjT8+f2p95EmBWsnRS52m1LgcioVKXu1yb+2mQuq5Hf3In48zs19leXA3N9bDyZUCFs7Ig2WwVXn35ECYvWs+di9eT7HJg0YhcS1MDH//hQebfMIKPfz+dpsoyYx+r08m57vu4c/F6rnv2NeK1qQ/BRC4jPoZXJl7I/Osvihhhvf6JFz9cVDbrN60EhJggEseGbS2tJbW/IPyV+0UcTjSEOErqOhy5G9+iproGylTx2+8h3gKH1RFxztfclYvFne1V4hMnMx7SQl1srz307HFV544Xs6Y+ibroAAseek5bCSJ4Dj/0t8Fl/WH0YOjepW1PyusXDtlVO4WhwhdAH0umkztL1pknleClJmstA11T2Vwtok2Aiurao+wVPjArWW1jTWQaFWZW6kJnv8pUqZvx/EfiTr2mx4w3SV1qoqudPToHBqEL+OGL+dBQCWmZMGwc3Xqncv3Yc5g84XwSXQ4sFsWoym195xUW3DqaN269guItX6EGTMLtSu3KMPd9XDI9m4xzR+LziL9DY3xXfTNvrN7JT/qkh7X54UTRM0F8troGnYslNgHv4QI8hw8A8PjKtll8sqOiyUNKP43U7csPWf8xI6qp62BkL/kDvkPaSa+bqadLcMZHnPP1vjnZwu1a0iQmQwwJTeWfNtZ9UgldMNyXTzS+d8b9wykurjQ3Jnig0Q5DegqjRGMzbDsEDSYZQVXhQJm4xTnhjJ4QL06KagBue+ox0Z5NVmhc+C0/BIauzuoQLdjmKjFhIlFUbqf/9jlmPfnQD/oZpxJmJUsn7KaGZ8aMl3G7L+vwYzoRmK8jdParTJW6ijrNINROpW7mA9d0whG1RcbDL1Ncrc2lXbMADm0HZxyjs/8fmX3NkWC6Vu7Q5nWseSGnTa5cazRVlPJN7hzjsdXhpOe5I3BdMIZ8Ww+jpXtb7he8vH43y6eNOQWvrvPw6MWDeHjZFhSbndizRlC//hMav12Po0ffiHTBprocpPQfBEDFvl0h6z9myHMJGiEorDoIB9u2XiNNT5e7cjH1zY2wS2u7DkgUmXQapo11n3DL9fvi0AubUBcdQF10AHs8gAqxHnB5gIAYIXbhALjiDBjcQxDQYDS0wNf74fPt8G2R0ZoFhaYqFeXKM1CuPIPYSWee0PGFxJYk9BRf64qNCIbZue+d0PftKGRm6u0rvRLUaGyrqKhv8/xwhSHzNNqvltB1WeBrhqZKcfyxZmuxs+NMpr+6EuWuWYLQ+X2wegHsXY8txsU1f5xJZt9+RkWu5lAh7824lVcmXsgnf/qfoxK6hG4ZZAwfyYArxjF43E0M/MlEMkdeSVzPTPyeFoq+Wkn+P38D7/wZqkuN/VbsLiFr9rKOeukdggmDM0hyijpN7JlCH9i4fYOx/a9f7mp3P1kxaUgG3TUHbFXBHgJ+Pw6rhUlDIoe4ngiilboORkpsChUlWs+/Z+Tq6Wa8+DjUecQ8V6sCp4W6kjqK0LWG57UDAGT95UZWrP0aHD7wWKHJASjQI1nc/j977x4fV13n/z/P3Gdyv/SaJimVS1tAtAGWFkrForJxFbQCu9+RBYUtV3XdBX+uERDZoLvw3ZUVW6k3WB0VoQjyNRbkYgFbFQqiQMuttGmTps39NveZ8/vj8znnzElSKCRt+vl0Xo9HHp15J5OeSSZnXuf9fr9er2wWXt8LewadB5vAvmHYt1UIMeZVwYJZ9ru+RfAAKmcG6f/58wd8XLa1SaQGPH7IxEXHLlwNHN7dutbWf5D5rxFZ2Y/9zGEO2/HDdHfqDlMnkHGw9+mGpA9m2VzwTP8pPrb5VS75wWNkc+IHufLUOl7+bit73ngGbyDIB//tVmYtei/x/j4e/+a19Lz60sQ/dMNg5vFLaDj5dGYufC/VC47DFwjaViR50+SZN7vZubsXTgOG++Dlp+G5R2D3K/CT6+GjV8FRJwGC2F113x9Y86nTxv9fisJSwYaPez94faTe3EpudBhvSZl2Ktil9bVw5kncXzuLkZ69DHftpmz+guk+rGnH9P/FH0GIbbmHwcQg7JNvGrPFm4Zu+3SxjQ8IgcQbch+svtQljqgpq9zPIw8dHv3Sffbtqn9ayEBPwk3ufD5YWCc+khnRoRsqOCnmTWjvEx9eDxw1A+odn8GBfSmb4BHOYP7a8VKaCPYI1vCIsevAmzCwU4xjDYO1sQcPW1IXjS6XpG58p05J2Dt1amVJ2vt0gyIPlIrpjRyMbX6Vy374BMlsjjOXH8f8qjI6//wHft9yKYn+XkKV1Zzxua/x/E/v5JGvfd4h0wUwvD7qT1nOCedFqT1mMR6v85Zl7crtHUmw4bkd4w+grBr+5uNw0gfh0bvgtWfhV/8DzVfAMaKTtXbTK5x+1EyiTXqQgXMX1nHT715igAihBceTfO0FEtu2UNr0AQzQbgQLUH3UsYz07KXvzVepqGvkrhd2AmgjgHmnKJK6Q4iWthvJ9qaFOLDUgBI99+laYreJCLBdo6LwnjLX52+/9MZpOKr9o/972+zbgYvmk+krIHcYEPKDddIfTsBLHVC4jJvLi67e63sFwWusgcYZzucTfofg+XKYj4wfg0TPO5vLvvyfJFMZKK+DoV0yYcLp1h3/4Ut46ZG7pvbJTynU7tTZMIVIBY9aGbz2Pt0EpO5QiiSsztz7Tj2apWccR8TvJTTSy5O3fYMdm0RyhDcYIjnYz6M3f37c4w2vl4ZTzuS0K75EuNJtyD62K7dtdy8lfi8/iS63iVlsy3auuG8zIylpbRIqhY9eDU/fC8+2wW/WQVkNzBZff8V9m7UhdSC6df/y8AtEFp9C8rUXiL/8DKVNH8BEPyPi9Vs7KK8/Cp55ioFdbwKOArZI6oo46Gjv3w1dVpdO3326nd0d0DkKORNqglDmLK4eTHHEVMAazwIYH18AI0EciawBZWE47Whxd2AEXu6EVIHRaS4P27vFh2FA7UyYUwce5/dtnPo+KBWkcOXyJTx6008A+P43vyS6dR4fVDRA/3bofQ3mngweLy+/tpOzo//Ko7H/exB/ApOB9bNKAzlU63QBoltkyt+noeDpMZdxSF25Q+oOhUji7P98kKHKCKVBP8uXLwIg2dNFx6P38erDv3R14sbmrxpeL/UnL+f0z99AsKTU9TmzYBS7dyRBZjj5liKHaNMCm6Rddd8fWLvpFfG3eMb5kByFFzfCQ9+Gi/4dQiWMpLLEtmzXhtidu7BOjGAXNcGD3yf52guYpik8/TQbwfYm0lTWC3HNoCR1Vv1IhYJnLXXRUDWPnXuFSSKz9Nyns21MrC5dvXOCNjCmbZfu3cD81XYAjm9ZzsvPdkGmsHNjQGUpNC2CeACGhqH9TchmCr6BCd17xYfHA+WVMK8R8EO/+F6P/eoVjF+dAp4cnplJQsF5sls3D0a6xG5d/3aoOUZ8/abnDmNiZyC6daPyQ0F390JCp5BCwt6n638T8hkomwNBpxzKpYMAACAASURBVEN+sEQSJ31nAzWlUvU8qwKhQzLp3/o8r9/3PUa2b9vvYz0+P41LP8gZn78Br9/dFS0kcvtGkkQXzXtXpGvNp07j9KNm8unYU+L3+cGLoHc37HkDNv4MPnIZoF+3bm5ZiA6zHk9pBbmhfrI9nfhn1Gk3gq0JB+iRpG5g95uu+pGKIqk7hGhedA5r90ozWUnqIv6wVvt0X/jB10XGa09SaKvrnCQH87D0tH97vNTqeK0d37Kcl/+4D/JeGAlIomdAeQUcuwiGBmF4CIYG3Mve+TwM9IkPgGAI6huhVBKfvJd8VwlJzzAQFLt1tQthz/Mw3CHeoEtnA4LY1Z32KTr+4OwFHj4oQxC6YSxSF4s9pYytCXmL1Kk1er38/z4kbvTK0X7NcQft/6r9xi8pCweoiQSoKQ3Z1iODb77KKz+8lZH219lffoU3EOSYD53L31z2r/bjLBQSub5EiguPrZsSomV9j0/HngKvDz58KfzkBiGiOHEFzD1Gu27ddcuO418efoHQe04g/sLvSb7+Iv4ZddqNYFctquN7g2J3e6iznXwuSygQOKIVsEVSd4gQ23IPd/3hx45IYpYHA4OLT/m0Nvt0tkBij1yUnx0Bv9ORbJyh/h+aRfDOvvxqHvvTM6IYH4WuDkHoDhSpJLwu34A9HqieIca0wZyzkhYsh+qjoe816NkmiJ70Hevc24vnqLP48X+3uC1Rph1lQBcwBIjft0pedaru042mMoKQdm8Vhdpj7c9Ndp+u/hv34w0H7SWEMpm3Whbw0bXpEd74+XdJD+1vhcQgPHMOp158NUed/qFxny0kciPpDJ94z5yDQqyiTQv4/Zv7xCi2ei6c/Lfwx4fEnt35/waGoVW3zhrBhhYIUpd446+ULRUj6z0ajWDF3twi7ps5h+F9exju6jjiFbBFUneI0NJ2I4m9cbFqVGFAyMDEpG3rhuk+tClDS+w2caNLkro5EftzBgat0Wun4aimHjahM03o6oS9neIThgfKy6GkDIJBkecKwh4lm4FEXHTxMmP2PfJ56NkrPgACYShvFJ25srmQS8FgO3S/LMaxFY1gGJjAp7/Yyqe/2MqV0XOnVR1bU1NGb6/TnROdOgGVvOrIS1KnUKfOHr32bBOvj5JZUDrH/vw73ae7av0fuH/7PsJ+8fr1hYN2Vy3Tu4+ee+8g+caLvJlJTfwNPF4qjjmehZd+iZJZYrUk4veSN81xAS6JTA4fJrHzl72jY3w3WPOp0/jfZ15nNJODpmZ44QnoeBV2vgjzT9SuW1cV8pM6+gQAkq+/aO/VVYbUeW0fKCrrj2J43x4Gdm0/4hWwRVJ3iNDevxt6ZJduhsdd1wTtPZ2QzonRqwHMcjoEV5zzfw5rgcSBIta2wSF07W9Cf6/4xIxZMGsO+A7ghGmakE5Bbw/07oNczv35dEK8QfdsAwzwl0DJbBjtgoEdwli25lgIOPuKa2MPsDb2AIuPmT8tCtnbb79E2ppYe1yHf7zZhFCwU3fRLfeL19TuP4nC3CWufcAD2aczrv+5UG4Ds0pChP1eDMMgm0wy8OsfMfr80+RHBvb7eG+4hDkrPsqC81fj841/WxlNZxlNi9F2IpPjy2csnJYR4J0XLBNj2GAYms6B398Hzz0M88XPSKdunWmaBObMxxMpJTfQTbZvH/6aWa7uqA5Yv7WD8rr5sGUTA7vepPG0s45oBWyR1B0iVEeq6e3ZI+7UOidcnUQS1aWV9O7aJdZpakO2N11JMKKUQOKtcNlN8nl07hKEzuOB+UeLnbr9wjqJyt+7YYidurnzxAcIkrenE4b6x5A8EzIj4sNCagg6nxVpAeX1Ykwr38Rffm0HxlEfsL908Ql1vPRQbDJP+YDgeNVZHoQDKKmAtUidIsrX4z/zHfHq6ntDdHN9YZh9kv35ibQeZ9/5Wx7bM2Zc6vWIL06nST3+ED1//C25gX37dV42/EFKjz2Rxf/4BUpmT+yHV0geppPIFSLatIDLf7FJdOve+wH4469Ep663A2rqtOrWDaayGB4PoaMWE3/pT6TefBl/zSwGC9X6GqA3kabCUsDu3uGqH4lQ48ylOGJb7mEoOeR06mrFFbFupsPJdAr2yoWwgi5dKKCHEunsy68mmU4LsUP3XsCABcc4YocCGIbBFZ/6JGu+8v/ZjxU7eGPfJOW7biAIjUcBMvsymYQ9u4Sq1hzTybMQ7xEfeCBcBVVHia5ewTv5yy92uEgewJUXf4w1X/vXd/r0DxB+oAIYBPoBcaV81VXfZ82ayw7S/zmFyKvTqTv72v/l5Z09kEvDa22i2HgG+EL211zxsZOp+te7Gcib4PeKSDxwXiND/bDpIXj1WRjogXyWCftxHi/+GXOp/NtPU/q+M+xyNuzfb+dnNJ3hj/80fo9uumF360KlsPh0+MsT8JfH4ayLAGhpe04LUjenLETncJJA43GC1LW/RunJZ2k3fq0JB2xbk4FdRQVskdQdArS03Ugmn4EeefKTpE4n0+HYxgcYTY6K0SvATIfU9Y28AwHBYQp77JrNwm6xr0Fd/ThCt/LUU3j0zu+Me/xEtaqPLGdg39ilZflmGwrBUcLGhJQXBjLCriI9LBWahW+keUj0ig8Q8VbBCqhshND4DuLaux9i7d0POQWPifnGxrd49u8UNQhS141F6taufUQNUpeTFyWeQ2fW+25w/Ge+IwidmYdXHhIj+ZKZcObHoMKxMlm7s1vcCPgg6IOX/wh/aIO9OyD9FgvzhgdPpJTyFedRcfb5eAp8FgvRl8jQG3c6Ig1lITZeunIqnuJBg6tbd8IKQepe+ROc+Q/g9bGzf3S6D3FKcN2y4/jSb/9CsF6cR1K7XgVgJJXRytZk1aI67uwTnefB3TvI53KEAv4jVgFbJHWHAO39uyFpwogpfuIV4o1bJ9PhlthtMJqFRA4CHih3rgYbaudO45FNDa5o/Ya40dUhiF1JqTAWLsCV56+yO3MHgv6Hn3Ldj5y5lMTw2NGIIRSxszwQPAE75SKbFlYno/tEgHshyTNzkOyDLmmfYvggUALhGuFf5h1zpZ5nXDfP+e8NzO1PHNDz8XgM8nkTmAVsBzqBRQf02OnGVV/9ubiRkyIf7+FJ6s6+9n957DnZjSjxwdaHYO9fwR+E864WhM7qwnW8Ci8+CZ2vwki/20Px7WDmyY8OMfDwTzETI1Se83/wBMXPpLAzZ5omt//t+5UjCHa3bmajUMP2dUL7S3YurA4jWCsyLNkgSF1693bMXI6M16uVrcnS+lo4/QTuraoh3t/LaM9eyuZNb0TedKJI6g4BGqrmsfOvO8SdGo8Ig0evfbqd3R3QLbscM0KuEaDqqtdY2wZG4gkpbpCdj3mNruf4TgndRIg/udl133vayeQLBYaVcRiV3ng+vxi3VslxbT4PI3tguBMyCaAgR9PMisix1CAMCENlDC/4wxCqBn8D5N1RboUwqpsnrHt8Brl9v7bvX375h1i79hFgNmKXrg/hWSe8CiORKPH4wd/vezdYG5MEOy9fw4cJqYs9+lc+fcdvoNLxe6S+BvZsg6fvh4E9gEfkm/7hQdGBiw9Cfj8jewu+AFTPguNOgYaFUFIuxAOmCfFhygY6yW79E4mtWxh84n7i27Yw87Ib8FfPYmg4QWjHPjp+cNXBfOoHFdGmBY4h8aKl8Pv1sHWzTeq+8Ms/KU/qQOzVeUvK8dXMJtvbRbprJ8G6BVrZmlgon9tAvL+X4a7dlM2ae8QqYIuk7hCgtfkmPvPkpWRI2SIJnUyHYxsfwMDA7JYnilrnDbGmrFJ51esXbpXpDfu6xJteZTWEHbuWlaeeMmlCNxFyf3jWdb/qgysYIA6kHXJnweMRmbHlBVffmSQM7RZj2VzKHZhu5iA9Ij5oBwwwAuCJgK8cvNXgr33L3bJ81pyA8JUgTit18vu+BrwPgEQic1gTO8AZv3oL7HgOQbDE8Vd9j5c7x3TuyyPiArCyBDChZxe88Qd48zlIFdrE5OHZ30z8jQ0DgiUwcx4sPBVOWg4lbyXqAUyT4fpj4cQPQOd2uP/bZPbspOO/vgRnXg1Bobo++8Z7ePQmdddHGqtKxKj12L8RpO7NFyCXBa+P3nhKi26dtVcXbDhWkLr21wjWLdBur2791g5KZ8+Dl55nuGs3nHTqEauALZK6QwSPXHei1kNNpIbbP3GrNvt0LbHbMM089EpSN0MsahsY3H7pjdN4ZFOD3oFBoUjt6xGFWY4HWMDvm3Bf7mCg/3H33tvZ//xPPLbxeRgKi4QLG5KF+ENQczRwtPOp1AiMdIpuTi6JUKgCmGCmBPnL9QM7C76fVxA+bxj8c8FfBZ7St2E7xyFI3RvAfCxVbCKRxjDOByAcDhx+BC8r/fW8Tmfsiv8zOePk2KN/5aJb7hcD8kgAfPtRBFs/z8QQjLbDn1+E3h2QGBaZrm8HjxfCZVBbD8ecDAuXgl8ui/u9EA5M/DsbK3RIZ2Frh7zjhdMuh6fXwWAHPPNTOP0yMDw89pd2YhtfJrpi8dsf22GI1uYlXBR7CrNypjOC7XwN6sXKgA6CCXuvruEYRp9/ktSu1yhb+hHt9up6E2nKZ4vJ19Ce3a76kYYiqTvIiG25h9W/uJqUpQqt8ZDIxKf3oKYY7T2dIhoslRf7dCXiZWViKt+li7VJc+iBPjHiLCl1del++LUbpunI4NFvfW9czXvSUvJDARhn8yrvB0sheKywvsAQb+jJ7ZB8HYfgjUUOzARkE5DtcxIv8MiM1JAgfJ4SoBohjqgAFiB2654Clsq6c1yFBG/88Y7H3LlVdHTc+bZf965hmpCR3TJ/lV1e8+9/7/qyug/fTGf3sKtGRfitSa5hOIQun4GBDujfDUNdMNoLyUFBuLNp9hexZcPrh5JqqJoL8xeJkWHVrLd+TCYHpAWxG4vRFItTaV76n0sBuOrO37LWJnWIMf3Sz8Lj/wU9r8OOP8JRSwG44ruPKEvqXCkTR50kSN2bL9ikTgfBhLVXN9QgEkZS7UIskTH1igurCQcomyNI3fCeXa76kYYiqTvIaGm7kXgmAf1y9FVtEM8kaGm7UZtOne1PB1AVtN/casqq3uJRasAevVq7dDUzXJ+PNp9ziI/orZF7YfO4mnHsmZApUC8OS1sLMw+jL0BG+id6K8A/U4xgDS/k05AbhNwQ5JMy7N7E2dfLg5kWH3nLbHi79b8CEYTFSRJ4AjGarZIf5YjunSSXB4DOzn4M4wLmLqqjc8/+jXAtrFyxiEcf+NL4n8dRV0/8gEy/eI7eEvCGhP2H34vx/vHfwwWL0Jk5SA5AYkB4CWaTwm4kExdj7uwIxPshNfzW3w9E180XFFml5TNh9rHQ+D6onCNG7RZKxDHuF4VduHQWUhkWl4V56ea/3+9D1lz+IdZc/iFiG1/mott/Lb5FqAxOOg+eicG230L9EvAFGUlmlO7WrfnUaXx30yuYC06CLb+B7X+GM8XPxus5BHP3Q4DBVJbgXLF7m+lqx8zlMLxerfbqVi2q482XGwGnUxfweo5IBWyR1B1k2MrXBOL9rdRw6trAhD650V8ddNcVR+/AoBBIxEfFm2mlQ1RrKsb70x2OMF990r4du/cJPn25jHNLbJOEzgslJ0Fg9gF+Q1OoRHMDkvSNCoGBmZbmvab8GNvpGJUfY1/7ISAABMf860P80VgfM6GsjM7OfqcrZubl/yVVwQXdssc2buXs8/7T9T+NI3SmKYhcPg2Dz4tauN4mdMS7IC1H1bmU/DcpCZusmWlB2vLvQF2KIcQK/giEyyFSDeVzoLoBquqhuuLAlvlGU29J7PymSfpbn3kHx+UgumIx0RWL8XziVvGXPPe9UPUU9LfD9k1w7FkAfOEHjytL6kCepeYcLeL5+rtguBfKasjl1T9/gdyrA7xVM8j1d5Pp2UNg1jyt9uqW1tdyxYeWcj8w3LWb6qCPTx1ff8Tt0wEYk40MMQxDj1d+EUUUUUQRRRRRxDTDNM133Sae2FGyiCKKKKKIIoooogilUCR1RRRRRBFFFFFEERpg0uNXiUM6gj355JN59tln3/4Lpxnzb17Izv5d8FAKXs/B3wZgoY/Gqnp2XL9tug9vSmB84ijYMQx/7oV5JXCyIyQwf/nmWzzy8EasbQOfbrkBBvphx+tQUgbHLLQ/bz7/p2k8uncHo/qj4sbonyHdCaH3QPg4+/NXfraZNbftR0QwFf9/8BOQ3t8a7wFMGyoiYs8s8Ryk/iISNsInv+VDVq5YxGMPFngIzj9Aw1xrp+5ATereTv2az8Of7oBkPxx/oTB8Blae+h4evfPyA/s/phmlf//fjKaykBiEh1uFCrf5a3ZCifnL66b3ACcB37X/Sy6TgTVXCQXy5f8DkXK8HoPsbf843Yc3aZzxw8fZ8cpWOv7zGnwz5lLfIpTzc8tCPP3ZD07z0U0Nrn3kBR67aw1//tk6Tlx1MU0XiXNZTTjAbR8+6R19r2nkGJNW5xSFEgcRthiiT6oFqzzuuuKwTYcHpRdQhSMfb5yhtuqo5Y414saIVHWWOYkLqggkChG7V0Z9mVlId4nbASdKx+sxDiqhAzBTv3xHX28YF0z8ibxUvnqr3/LxlvrVMBxSZ775nf2rXwsRT7Hyw+/lsT+98bZfWlkWpP93ExuJu5SzVSfCnieh8y/QKEjdgXz/wwV3XvkRPv2tX0O4AirnwcBu2PcazBEiCZVVsLm8KZTGc94Du7YKv7qjm7QRS1y37DiuHRgBj4dszx7y6RTBUIjrlh339g9WBG6vul2u+pGEIqk7iGiomsfO3nYYlCeGKr3iwVpit2FiwpCb1BkYykeD7dwjic+wJHWlDpG7/UvqPbcv/Ns6cSPTC+TBW+lKTbh77b9Oz4G9BUzzF677RpVUceYGxb/eSvfX9//owL7vm4fGLBrAfP4/HWJXeawgdYNvCNWuodb2S3TFYkHqAOYcL0jdnpdsUtcSe0pZUmenS8xeIEjdvh1wdBMGeuTAAnh8Pvwz55Hpaiezt52gzITVBTXhAN1zxIXqcIEB8ZHmVafWWUUxtDbfRCgeFJ6upQYEDK3iwdp7OoUlhNWpKxd/PDqYDnsMAzIZSCWFlUlEJAwYHH7edAeC3j5JTjP7xL/+MX575591iI9oEjCl+7HhkNKfrFs9TQfz9lh56nvEjWAVBCqFfUqi2/58rO25aTqyd46aMpEWwyy5itDzuv25nd1DEzxCDbQ2LxFzr1nzRWHvDkDsFbUo9PvZH27d9AoZEwJz5gOQ3rPTNiDWBasW1VE9R0yIRvYJ780j0auuSOoOIqJNF3LN8XJfpsqgsaqedRd8RxvT4YbauSJJImtC0AMh4ZWl+ug11raBvGlCXOZrRkpsw1elhzGmCRlJJvwz7fKVnx2b33oYw8wJXzgMMBxPxOj5S6fvmN4Grp25krni31EnseELt/7qEB/Ru8ftl64UNyrmgC8kzJTjTmZtbOPL03Rkk0O0aYH4254lTHrZu8M2bm7XIFnCMhr2zxRTosy+DlddByytr+WKM9+HLxgiPTpMaT7NJSc1HnFedUVSdxAR23IPP/itGAmVziqjtfkmbQgdQHPTB5wuXcE+XXPTB6bleKYK9j5dXJ7MI04OaOOcAzToPYzg7NMlxYfhA68zTj7Yu3RTClO+CRmhAxcxHE6wSF280y71DqgTG2iPVw0P1EgC1OsIolpiT03DUU0NaiJBKKsR+bmJYWFCDFRHgm/zyMMfc2SH1T9TXHBnujtcdV2wrGEGc+cJ4rqrvZ31WzvYvKtnmo/q0KJI6g4SrMzX/j19AIyE4qz+xdXEttwzzUc2dWjb8rsJSV3blt9Ny/FMFex9ulGL1JXan2u95gDVk4cR7H26rCUwqFSTEIGIKwNB6hRCSVi694dlhzTZN30HM0k0zpAXBLWS1PVstz+n8ggWTPF3YY9g33TqiuO6ZccR9nnwyylKtrsTAzhr/oy3fqBi2Lyrh3yFeE4j3XvoTaS564WdRxSxK5K6gwQ789USSZQ7ma+6oL2nE0ZkNFJZwF1XGF6PR4xexnTqlN+ns0idryDqrKpsgkccxjBlHJ1HLVJ351dXiRtBqdhN9blzWRVCa3S5uGF16vrb7c95VL1YAPri8gJ15nzx796dAPTG1VdPnruwjk8uqiMwQ3SKM92d5PN57t/awYPbOt7m0epg/dYOIrVimmLt1aVzedZv1ec5vh2UJHWrVx++S9EWbNuSQWlnUqFf5mt1aSUMW6TOyRFsqJ07TUc0Ncjl80Igkc+B3w8BSwCiOHIWqXNUo7d/Uw2PNBumla+qlnA/2rxE3PCFwRcRObGZ4ek9qHcJewRbPgcwYHgf5MTvJa8oUQVoqJJrFrXSnaBXEAFLAas6ntjRjREuwVNaiZlJkRvsJZHNayWW6E2kKZ0hSV13l6v+TqACx9gfiqTuIKGhap64Eh+SJ7lKj1PXALGNDzA4OgwjWVEoFaQu4PMrb2fi9XggIfecwiXuuqowTchJElGwT6eU6hUA+XozFA4jt7p1yd7pPY7JwheAshnCnmXIeQNVVSxhK2BrpNBLkjpdFLCOWMK9V6eTWKImHKBk5hwARmWnzqq/E6jAMfYHhd+lDm+0Nt9EOBuCNBAUHzrZmbTEbiM7nIC8KVSvfvFSKguXKG9nksvnISltM8Jhd10xOCKJlDAeNvxgSD9BFSdlVqfOUKtT50JQjr/Tzv6ZSrYmUGBtUiG78oPOeEtVsYStgK2aDR4vDHZDRoz7d2qggLXFEgUj2MK6Dli1qI6qWeL5WZ26I83WpEjqDhKiTRfy5ZOloWu5h8bqBq3sTFz7dKVO16RvZHCajmhqEGvbIK7WLVIXckidisrXlpvvFjdy0p7FW2qzOSUnZabVqVOY1Pml8KZg/Npyx4ZpOph3B8faRL5ZDjh7tCqLJRqrSkSyROUswIQ+0e3RYQQ7ViyR2dehnVhiaX0tn/mAiA4c6d5DTThwxNmaFEndQUJsyz18+9fCuT4yI6KdnYmu+3Qtd6wRV+sJN6kzUFP5unO39KWzRq8eR8nbOE+dk3ns3s3yliR1qDd+ramQFwgBKU4pIHU79wxMwxG9e0RXLBYXP5VWp84hdV6Pii1gAWcEK5+XRiPY8WKJDkzQTizxsZNPwOfzkRzo49/PPO6IInRQJHUHBZadSU+nkFHHw0mt7ExiGx9gKD4yrlOnwz5de9deyOUgnQIMCIrRhImaylevV/6J2506R+3aev3F03BE7w5f+PJPxY0Jxq81VSUTPOLww+1fOlfc8I8ndSqqRk2AMtm9Hum2W78q56XaI9gat1gC9DAhfmJHN74xO3W6iSW8Xi/zpFdde3v723y1fiiSuoMAx87EUb7qZGfSEruNTC4zrlOnwz5ddUW5UL4ChEJ2kkRNZcU0HtW7Ry4nX4N5KfzwOgRIJZFEb58kpROMX2//j+g0HNE7h62Atcav6RH7cyqqRr0eA4KlIlkik4D0qFNXGI1VJePEElCgjlUYe4aT+GqEkCDbuxczl7PrOsGKC/vczx7h2kdeKPrUFTE5OHYm8kRd4XHXFYftQzdG+ar6Ph0gug32Pl3IXVcQdqcuL5+TJ+yuqwaL1BVYmhzOEWETYoJOnYrI5aVZb6kc4490O3WF0bxoHlTL8Wt/l7uuOOaUhfAEgnjLqyGfIzfUa9d1weZdPYyEhRjpSDQgVvTMfnjDti0pMB521RVHQ+1cyOYhlRPLZmGvU1ccvYNDTqcu6Igk+obUfAPO5fKCkI4hdXYHTzloYGniDYlOYz4NOXWNbe1kiVK5szQsSJ2BurYmAG1bd0OlJKpDPcKv0qorDkss4asWySaZvn2EfR6uW3bcNB/Z1GH91g7CM45cA+IiqTsIaG2+ibAvBCMOqdPJzqQ1ei0+aexPxAeGocU+na18tUmdk/nYMHvWtBzTZOH1emReqglGEAyvU1cI9sqZKcmo4XHXVYJhCBNigKw6ua9j0RpdLv5erE7dqOiEmKhrawJyd84XgFLRzUJ2s3TYqTt3YR23rDyRyAxnBBtU7FzwduhNpCmpFefr0Z69rvqRAL1+m4cJok0X8p8rWyEPhKFxhl52JgCmJZIoEWMwRaeTLtjK15RkrFIkoaryFWRHLufu0tl1heC8vnLyX8+YumKwSF1O3V2m6IrFUiwhSZ3s1IHatib27lylzOkd3AdAdSS4n0eoB0+VeG7Zvr0MpLJ85bG/aqOArQkHiNSI5xfv7XbVjwQUSd1BQl+XdIsv0+9H3BK7jdyIJD4lYgyWyWVoid02jUc1ebR37RUswSZ14iSuqvIVwOMxHJFEAalTrVPnsZfvLTLqHVNXA/bReq1OXWK6DmVK4PUYUGJ16rrddUXR2ryEgNfjkLoB0e0ZSqaV96oDhNJVjpezfeK56aSAXbWojsoZolMX7xOvySPJgFitM7siiG25h9ZfflPcKTXY2b9LK0uT9p5OGJWduojPXVcY1RXlkM2KkYvHK0xIUVf5Grv3CfL5gn06b8T+nGqdury1fD9m/JpXbCnfPlq7U+eQOtVSJUCKIkpk7Fm8Xxtbk7KgZUAMDIhOXSZvKu9VB0Lp6q8RO2cWqbPqOmBpfS2XrRBK83hv9xFnQFwkdQcBLW03kh6Q3Z4yccWqk6VJQ+1cGJUL6yU+d11lmCakC/bprIUtRWd8dppEXj4nw1G4qWQ87IZ7/KoaGudUihu+8Z061VIlAGrKwuAPgT8MuQyk405dYfTF0+M6daDHXt2cspAtlMj27XPVdcGHTziaUChEJjHKjUsXHDGEDlQ9Mx7maO/fDcOSCJQZ7roGaG76AMQlqZOdukgwrLxQom9oeNw+nV1XEO0dUsJvyufkcXaCVDIehgmEEqgplGi9Ro7xvfL1VUDqVEuVEJDnubAkq4l+d11RNFSVjOvU2XXFcd2y4yiVQoLsQDdmLqedAtYwDOrq8JtTywAAIABJREFUxLi1o0OPXcEDRZHUHQQ0VM2bkNTpYGkS2/gAdz2+vqBT58fA4OKzPqmJ8bB7nw7UVb5WV0k/tLyb1JWUhJQyHobCZqk1fvWOqauBqBVDNYFQQsU9tL4RefwRSerigtT1Kj7Ka140DyoKhBL5vFNXHOcurOOb5zQRqKyBfJ6a7Ai3rDyRcxfqtXNWVit+f1/4xWNHlAFxkdQdBLQ234RnRJ6gJanTxdKkJXYbiaERyJsQ8IDfg4lJ25bfTfehTQqxtg0MjYzKeDAgIAhQwO9XVvlqMx6L1BniOYUC6nm81VRbmbXuTp1TVwcmTDh+VXEPraFWetVJs1fiotuohVddIASRcshlYbTfqWuAcxfWseCoowDo3NXOrZte0Ub9CsKAeDgoXpvxvu4jyoC4SOoOAqJNF1KRlV2SMg+NVfXaWJoIkYR79GrXFUbLHWvIZLOQkV5GASF/L4uElVW+9g2MCGI3ZvzaNzDyFo86TGERVFPu1MlOnXKtOmRHbgL1q4qdOturLuIev2rhVQdQViP+He5z1xXHg9s66PSKC6JM3146h5Na2Zqs39pBqFrsDVu2JkeKAXGR1B0EZDIZBnoGMAyD9NpBdly/TQtCB1IMkRhP6lQXSbR3yWXotCR1fkmAFN2nAzl+NdMI42G/TYTssaxC6LXfTN2dul4F32RzedPZqSsYv6rYqbO96qydurizF9jeo4FXnU3qet11xXHrplcwLK+6Xv1sTXoTaSIWqevrdtV1R5HUHQR8Z8N3MU0TswSO+eaJ2liZgEiT8Gfkyyasj0iiuqJcdH3sTp3fqasK0xw3erXrisHx1XOTOtX89gBqKiPglUao+bS7riBqysIQkeNXWygB1aXqKmBbm5cQ8XuhXJK6oT4M9NipA2Ff4pPq3uxAt6uuA2rCAUpqrE7dPlddd6h3RjzMEdtyD1/+2VfFnTL9POoAvEn5xhr2UlNWxborb1FeJIFpCo860xT+dB51x3sWxPh1vPJVxfGr7as3xqdONb89QLymPPLNpTD7VdnXmjlhp05lBWy0aQEXn3I0lEkPvpFeTODuZ17XwoB4TlkIX6UgrLnBXlddB6xaVEe5FEocaQbERVI3xWhpu5HUgLzaKdXLoy628QFWr/0KySGZUBD2kUjrcWXXNzRcIJIIuOuKorqqbJzy1a4rBqcjZ/nUqZlhC9A3lACv/H0UdOr6htRMl+gbSUKoDDAgPQr5rFNXGG1bdzvj1yGxUxfP5LQwIL5u2XFEqoV3W3ZAkDqdbE2W1tdy8RnvByDe13NEGRCrd0Y8zKGzR11L7DbiqYSzUxf2Ek8llI8HA2lbMkYkYddVhWnKnTrACLjriiGXy8vjto7dcOqKoboiAh6pQM5n7O5jdYWa49fq0rDonIakEjk14tQVRnv/6LidOruuOM5dWMfXPn4mALnBHuaWhbSzNfm7k08AIDXQy3+sPOGIIHRQJHVTjoaqeTAq33hK9fKosxWuNqnzuesKo/mM0wtEEoIARUIhde1MgN7+YacTVEDqVBy/CuuSgjQJ6TqsoqUJpimO3xrB5jNOXUnI4w7KDnBy2F1XFA1VJc5OXQGp00UsUV5VjeHzk0+Mkkup3VWdCIFAgBkzZpDL5di7d+/bP0ATFEndFKO1+Sa8cfljLdHLo66hdi7kTEjlRaMk5HXqCiPWtoG7H/q1Q+oCAQzg4o99VFk7k9i9TwjeY0rC4HG86RrqFLxiNU3GiiSculqwx6yWWCKXctcVgz1mDUlSlxp21xVFa/MS/KUVYsc2OQrpJAGvh9bmJdN9aJPGg9s6aHn8RbzlYmdwd0eHVpYmFo7EVIkiqZtiRJsu5OjIAnGnRC+PutbotYTy0sYk5AXD0EL52nLHGuLJpDN+9Qcwgbanfz+txzUZtNx8t5xWujt1hqFeRBhA38BogUjC664rBnvM6nErYFUdv9oGxGM6daqPX20UeNWZCl5ETIRbN71CIpvHWyGeW3agVytLEwtFUlfElCA7JLoj2/79z1p51EVXnMdHjlsq7oR9eD1eLeLBbI+6jHv8atcVhJP7Kjt1hujUmSbKRYQBVFeV4nTqjDF1xWARA0ssYSlgFSUMrdHlBHzegk6dGO8PxZNKp0q0tD1HJm+69uoyeVMLoYRlXeKrFF373GCPq64LfJK0/sdvNh8xUWFFUjfFME2TPXv2ADBnzpxpPpqpRWzjA/zm94+LO2EvuXyOu5+4n9jGB6b3wCYJWwyRlQTI73fXFYST++ru1NVUK+q75xJJaDJ+tcUSaXddMURXLKYs7B/XqcvkTE1SJaStiUapEpZ1SWGnrrCuAzbv6mFXTpz3EoN9R0xUWJHUTTG+/+RdxONx8MGJ3zpFK3+6lthtpIcdOxNAC/Vr8xmnS+NhSep8fqeuKuxYrTE7dQqSIBgzfi3o1Ck9frU7dSl3XUE4tibYO3WgSapEifTgGx1w1xXGdcuOI+zz2J2s3GCvVpYmIKLC/BXCFDshSeuREBVWJHVTiNiWe/j8j/9F3Ck1aB/YrZXxcHtPJySkAjGsT+5r29O/h1xOmsJ6wOt16orCyX21xq8Bp64gxJhVElLDM6auGCxibRsQq65+lXt149SvBft2CsJOlSipEIXRQSJ+rxZCiXMX1nHLyhOpnT0bAP/ogHaWJr2JNGFpsJzo73XVdUaR1E0hWtpuJDkoRyglehkPg1S5JiWpC3nddYXR3rV33OjVrisKoXDNIfbQPLa4QEnlK0zoUefU1cI49as0iO4dVHP8CtDctGDCTl1z04JpOqLJI9q0gHUXLKNUZogy2k/Y733rBymEcxfW8cOLhLr/Pb6UVoQORCRYuFKMzpODfa66ziiSuilEe/9ux6OuRC/jYRDqV09KjsAkqdNB/SqMh63Rqx7Gw80fPmVcl86uKwgxZh1P6lQcvzbMluO8MT51BhBTdAm/bcv2gk7dkE222zSI1MpYZHV0kN54mtW/2KRFVBjAS0lxHt/yyhuc8cPHtbI0WbWojvIacRGbGBCk7kiICiuSuilEQ9U8GBlP6nQwHgahfq3yyxNc2EfjjDotcl+bzzi9oFMnxsqqGw+3PfKMI5Io8Khre+SZaTqiyaGhroaJSJ2oq4XWa84Rz8AjVxhkrJYJtNyxYboOa1Jo7xkCXxC8fjFOlopelXfqQChgUyE5QpY7dbpEhT24rYNvvShyUXPD/XQMjmrlVbe0vpbLlouosER/L9Uh/xERFVYkdVOI1uab8CVke14z42GAn/zul/R2C+VQfd08WqPXKk/obOPhgk6d6sbDIC1NJujU2VYniqH5I++dUCjR/JH3Ts8BTQLR5iWCnhZGhUm0dw1MyzFNFg215cIEMSDFHum4U1cY7f2jrp06qwOpgwL21k2vkMSLp7QC8nlyQ/3aedWtXNhIOBwml07xtWXv0Z7QQZHUTSmiTRdycrVcoi0xtDIejm18gNW3fxnyJvgMdvV3sXrtV5S3M3GMh52dOtWNh0FamtikzhG1qLpT1/bwX5hIKCHq6qFxTmVBp84hdfZoVjHYXnV+i9SNEvB5aY0un94DmyQaqkrESkYwAvkcJEecuuKwvepkqkRuuN9V1wGGYTBrllijOVKiwoqkbooRTImr70eva9PKeLgldhuJIamclPt0OtiZ2GKIMUIJlUUSsXufYGh4FEyZ0SuNhwMBn5JpEgDtHb1MNH4VdfXQfMZC+/dijV/tuqIwzTwEJNlJx8V9xeEoYB1bE10UsLZXXZmw/cgND7jqumC2VPh2dXVN85EcGhRJ3RRDV+Ph9p5OSEnla9DrrisMWwwxxqNOZZFEy813k8nkxnXqykrCSqZJwBhLE9UTJYC2p7c5nToz664riJbYU2Rypmv8qrr5MDgKWF+5ID6MDmqjgLW86rxlgrDmhvq186oDip26IiaHzk5BcnQjdW47E5+7rjBar7mKSCjk6tSpLpJwIsKsTp34fanqUQdoZWkCcndugvGrqjt1tiAi4IxfXXXFYUbkXt3IgDYKWMurrqJWrGSUpEe086oD7J3I2x750xERFVYkdVOIHzx9NyMjI+CF9337NG1Mh0HYmfiz8uWikZ1JtPkcLv7YR21S5wkElBdJ2HtzY0idqvt0oFeiBMjdOc/48auqO3W2IKJg/OqqK4yWtufIhfVUwJ67sI4vnn0qAOfVl2pH6Dbv6mFXXiS3JAZ6j4iosCKpmyLEttzDNT/+Z3Enol+aRHTFeZx93GniTsirjZ1JrG0Dd/3q/0FWvLHmPR7ufujXxNrUtJYAaL3+YgIBn2unTuV9OhhjaVIglFDR0gTk7twEnTpVd+pao8uJBH2u8auB2ubDFoQC1h0VZtc1wO6cuLj4/pPPa+dVt35rB4FyKypMeNXpHhVWJHVThJa2G0laTvER/dIkYhsfYOOWTQDUzKjVws4EhPo1MSpPzl4vGB7iySQtd6yZ3gObJEzTdHXqTEXHlBZab1iFz2edrsTfVyDgo/WGVdN3UJNA29PbHFVyXv2duuiKxVx81gmu8asJ3P3Ei8Q2vjytxzZZNFSVTEjqdFDAPritg/vbxVpGbmSAzuGkVl51vYk0IZkqYeW/WnVdUSR1U4T2/t0Ql2+ckTF1xRHb+ACr136F+KD44+9ND2lhZwJjIsK8PnddUThCCYfUZTI5Wm6+e3oPbJIwx4xfVSaqYqdOjl8LhBKq7tSBTI8Y41MXT2WVF0u0Ni8hWC5JXUJEoOmigL110yvk5M5ZbkhYmujkVVcTDhCukvmvA0dGVFiR1E0RGqrmgRXdGNYrTaIldhvxVMKV+6qDnQlIlascveLzueuKYn9CCVWNhwFavr6eXE6+/iSpy2RytHx9/fQd1CQgdur08akDKYoYs1Nn1xVGtGkBN54n/fbiwzRWlbDugmVENRgt7xlOjrM0seo6YNWiOsqrxS5xUnbqdI8KK5K6KUJr8034U/IkHdErTcK2LUlKkiCFEqrbmYCMCMu5SZ3q6ldHKOG2NFFZKNHe0TuhUEJpn7oJhBKq7tSBFEWM6dTZdcVRViVGeFanThfMKQvhKSkDw0M+Powpz4W6eNUtra/ln858HyA6dUdCVFiR1E0Rok0XsrJuhbgT8WiVJtFQOxdyJmRN8X7q9zh1hWFHhNmdOr8WEWHjhRK+olDiMIPLp06DnToQYgl/RGZDS0sTHVIlYlu286Xfyt9LcoSdfcNaWJqA8KqLBPx4SwXxzg0PaOdVt3LhfCKRCLl0ihuXLtCa0EGR1E0pqg3Rxv7xP/1AqzSJ1ui1hJBdhYAXDEMLOxM7IswidV6fFhFhMFYo4Vd6/wysjNfxPnUqZr+C3J0zCsyHrUxRhXfqAExfADAgm4J8VotUiZa250jkDREVZpqQHNXK0uSWlScSrBCdyOp8XEuvuiPJgLhI6qYQ+/btA2DmzJnTfCRTi+iK8/jqx68Ud4IebexMnIgw9/hVZZEESKFEOgtYO2he5YUSruzXAlKnavZrw+xKMAw3sUPtnbqW2FNk80bBCDahRaqEbV0Sll3I+LC7rjjOXVjHGYuPBuAbpzVqR+jAeU/u7u6e5iM5+CiSuimErqQO4JSGEwD44MnL2bHuaeUJHRSIIcbs1KkskgApiCgUSRiGU1cUumW/tl5zDgG/1yWWCPi9tF6j7tjfSZUIi38zcXddUdjWJRapk3t1OliaWLA6Wbrmo86YMQOAnh51z4EHiiKpm0LoTOqsKxzrj0MHjIsI8/mUF0mAFETYNhk+d11RNNTVTCiUUHWnDuSIvEAsofqI3BZE+CxSl3TXFUVr8xIifi9Y+4KJIW0sTSzoPp6slVFoxU5dEQeMHz/zM7r2iaucpXeepU2SBAifus/dcT0AbX99Ugt/OhARYeuu/woBj/gzmDVrFuuu/4rSIgkQQgmfzxIVCFKnulCi9YZVeH2SzEmhhMrmwy13bCCTzbs6dZlsnpY7FE4ysVIl/FI5mUkSCfqUF0pEmxaw7oJllEoT22ojrY2liYUeQ/zOvrHhD9qlSgCkg6KruvbJ57XPfy2SuilAbMs9XP7jqyEPBKF9WJ+IMMt4uL9PGDcO5xPaGA9byKdTAHgD+hhSmnm3nYnqXSAofA6amA8DGMIeCDPnriuI6IrFrLvyIwTCciyZSRAO+N76QYog2rSAs957LAB9PT20tD2nhfoVRKrEI3tFVzU3rF+qxOZdPbyeFOeM5NCg9vmvRVI3BWhpu5HEoJ4RYbbxcEou3Qc92hgPx9o2sPrmW8gmBanr7Btg9c23KJ37CkIokcvKGBxJ6lQXSrR8fT153cyHoSAqLOeuK4ycVwSok03SO5xk9dqHlY8Ki23ZzoYdg+JOYpid/aPa2JrcuukV8jIGzTIg1ilVYv3WDnylIjUjNSSen875r0VSNwVwR4QZ7rrisA2G03KfKaCP8XDLHWuIJ+L2Gyperxa5r0IoIZ+T1QmiKJQ4nOAIJZxOnepCCRAK2JxHdrzlTp0OUWEtbc+RCZaKO1IooYutyZ7hJJ4SsfeYHx1y1XVAbyJNqELYjSVlFJpV1xFFUjcFaKia55A6zSLCbINhu1PnddcVhsh9tQhdgUpUcUsTIZQYT+qKQonDC6ZpFoxf1RdKgFS6FuzUueoKo71/dJyliV1XHHPKQnhlJytXQOp0SZWoCQcIyeze5NCgq64jiqRuCtDafBP+tJ4RYa3Ra4kEw5B2xq86GA+DtC6x7Ey8XnddYTR/+BTAUr+K5xUJB4tCicMItlDCInX5nPJCCZBKV79b/WrXFUZDVck4SxO7rjiuW3YcJeWS1I0MYpqmVqkSqxbVUVopOnXW+FXn/NciqZsCRJsu5KPz5dgkYmgVERZdcR7rrrwFj9y7nzd3nhbGwyAsTYIWmdMk9zV27xPc/bPHXJ06w4CL/2El0fPPmt6DmyTMMZ06lTtbOgolQChgA2FpPpwVpE4HBWxr8xK722OROl1sTc5dWMc3//ZkPIEQ5LLM8ptapUosra/ls8tOBCA5NEBNOKB1/muR1E0RZnmFf9t3LvqWVhFhABcs+yj5VBaPx8POuzZrQehAWJp8/oJPiTteL41zZitvadJy893EE6kCUufDNKHtkWem98AmCSGUcJM6LYQSHjepU10oEV2xmLPeL1SiZBJ4PQYXn3UC0RWLp/fAJolo0wLWXPRhcScxTENlRCtbk3MX1jFvtvBX/Vnz8doQOgsfOv49eL1eMvERvnHWYm0JHRRJ3ZRBR3NeC+se+gkAeR8suOJMbexMYm0b+NH9vwQgUlJK6zVXKU3ooEAMMWanTmWRBOgplIiE/K5OXSTkV14oEdv4Mr97RRq8ZpLk8iZ3P/Gi8upXgM8sW0QkEoF8jhe/eI42hM6CZdDb26vm39RbwePxUFMj9m91T5UokropgvWHYL1wdEFs4wNcu+5mcSfoZWd3hxY+dZadSY/8vcUzGS3sTBwxhJP76q6rCd2EEtHmJay7fhXBkLT/yOcIB9X3dGuJPUUKmZKhkfoVhK1JSqZlLPraT7SwMymE7qTHIq26Pj8LRVI3RdCV1LXEbiM5IjIcCYiXiw4+dS13rCGeTLqEEjrYmbRefzGRcLAg+9WrvEgChFDC49VHKGEhl5fPyczRO5hg9c3riSlskyHUr1IokdVH/Rrbsp3Vv9hETubaduzt1sanzkIyIHYh/zH2qJapEkVSV8QBI7blHrbu3ArAR3/8SS2SJCy093RCSnZIgl53XWHYtiWFliaob2cSPf8s1n3rc0TC4vnU1lSx7lufU14kAYzr1KkslAChgM0WkDqAeDKjtAK2obYcfOMtTVRXv7a0PUc8k4OQVLsmR7XxqQORKvHSiPh7yo0MaZcqAUVSV8QBIrblHv7pnqvIxcVJuSO9R5uIMJB+dJadScDjrisM27ZkjKWJ6nYmFsy8eF6GR/2RHkihRF4foQRIpauVKGHtQKK2ArY1upxwqTTpzabANLVQv9p+dDJDlNSou644bt30Cnlp2WJ51emUKgHOvru1/64riqRukmhpu5FEPCFWmHyAz9AmIgyET50/Lzt0Mk1CB5+61muuIhIKQc7p1KluZwLC0mT1P3+bRELE1nX3jrL6n79N7N4npvnIJge3UGJsXU00zK4s8KnLuuuKIrpiMd+7uhnD6wczT31VkHVXfkR59avtR1fQqXPVFcee4STeUitVYthV1wXWePl7T7/AtY+8UMx+LWJitPfvhsT4NAkdIsJA+NStXHSauBPw0jijTgufumjzOay7/iuEfOJNdeaMWuXtTGAiSxMv8URK6dxXGCuIUF8oAUIB6w9IV3v5+9JBAQvgkbtn+VRimo9katDavISI31tA6uLa+NSBSI/wRASpy40Ouuo6YPOuHl5NiPNGamiA3kSau17YqSWxK5K6SaKhah5YFzOhMXVNMCtSDcAP/+U2dqx7WnlCV4h8Rrgqe/x6RMboamnSesMqfD7rdCVTW8IBpYUS0eYlnHxCo7hj5oSn28eaiCpMFGIbX2b12ofJeYWqt2NvN6vXPqy8pUm0aQHrLlhGpUwmKCellU/ddcuOI1whUiWs/FedUiXWb+3AJ6PQkjJVIp3Ls36rPjuDFoqkbpJobb6JYEZK+EN6RYRZ6OvrA6C6unqaj2TqYFmapJOCkXcNDGhmaeKOCVPd0gTA53U6dDXVpay7/RKi5y+dxiOaHGJtz/Hs1j3ijpkTnm4PbVFa/doSe4p4KuvKf9XF0iTatIBvfOpMAC5cNFMbQgfCfPiLHzwZEDt1c8tCWqVK9CbSBO381wFXXTcUSd0kEW26kEtPukTcCesVEWZBR1Knv6WJkyihuqVJ7N7NrP7CXSSTMqvOMEhocDJuuWMDGUsfkddD/Wpbl1gK2GzKXVccL/WL1933fvc882++TytLk/NPEXuPNWaKpz/7QW0IHUBNOGDHvKUKSF1NWI8JTSGKpG4KsKhCxOJcuXK1dhFhsY0P8KeXROfgwtu/oLzpsIX2rr1gmi6hhF1XGNHzz+Lif1hpkzqPz6987mvL19cTT6QpTJSIJ9JKK1/BUr+6Y8LsuqKwrUt80lQ5m3bXFUZsy3a+92c5rkuOsrN/VCuvOstjtbe3V3m7oLFYtaiOsirRlLA6dQGvh1WL9CGuFoqkbgqgq/FwbOMDrF77FTIJcbW9Z7RbizQJkNYlsjuCxwOG4dQVRuzeJ7jrp48Cwv4jn4O7f/aY0urX/SlcVVa+gqV+HW9porL6tTW6nEjQBz7ZAcmltLA0AeFVl/IJBSUpYciuk1ddKBSipKSETCbD8PDw2z9AISytr+Wy008EBKmrDvm55KRGLTNgi6RuCqArqWuJ3UY8GYe09Afze7RIkwBhaRLyyTdU2aXTwdKk5ea7SSRkAgheMAzl1a+OwtWd/aqy8hWE+jUQlOQnr4f6NbpiMeuu/Ail0quuOuTRwtIEpCddUJK65Ii7rgl0Nug969gGgsEg+Uyam5cfqyWhgyKpmxLoSuraezohZ4r3Uq8BXo9TVxzR5nO4/jNyz8zrpXHObC0sTdo7esYpX+26omi9YRWRcIBCnzrVla8g1K9nnybVhZqoX0EQuxUnvQeAvsFBWmJPKa9+BelJN8anzq5rgAe3ddCDGJt/4ocbtEqTADAMg6oqoV7u7++f5qM5eCiSuimAReqsqxxdINIkZJdOozQJC8tOPB6AM089hR1tv1Ke0IFUudq5rz53XVFEz1/KutsvobREvOFUV5Upr3wFoX597Jk3xR1N1K8gbE0eeVFe+GXS7Owe0sLWpLV5iUzLMCAtRFa6eNU9uK2Drzz2V/Ih0WHd292jXUwYOGI/S/ynI4qkbgqga6euNXotIaRdi1+8VHRIk7AwOChMNiukP5MOaL3+YkJ2Rq/8nSmufnWg1/J2yx0bSElBr0XEVVe/grA1yVjnjZzYx9XB1iTatIDvXXgGnrDozM0Lo41X3a2bXiGRzeORqRK5kUHtYsKAYqeuiLdHbMs9/PmNFwD4xM/+XpvMVxBpEv/yt58RdzRKk7Cw4anfA/DQ05uY3/xx5T3qQKhf/+2LcixpeGmcN4N13/qc0upXy9JkZFQQhL7+UVZ/4S5i926e5iObHNq7BsBjxYTpoX4FaV9iCSWyaXddcUSbFrCgbjYAj312uRaEDpw4MG9EdOryiRFXXRcUO3VFvCViW+5h9S+uJjsqLrc7U12s/sXVWhG7JfViwfmTZzZrlSYRa9vAD9bfL+54POzc06WF+TBAJi3fSAt26lSGrpYmruxXTdSvIO1LvJalScpd1wBWt0cnYmDFgXnCktTFR1x1XWCRumKnrogJ0dJ2o1SHIgR5QYhnErS03TjdhzZl0NF4GIT5cCYl33C84o1VB/Ph2L1PcOv/3Cvvedi5u5vV//xtPSxNxnhnqW5p0nrNOYRCkvxolP3aGl1OICyyX61OnS62JqAnMbhu2XGEfR48BZ06nWLCLOhIyMeiSOomgfb+3e7cV+l11t6/e9qOaaphvfitPwZd0N61t8CnzuuuK4yWm+8mZZFVQ/x562NpImHoYWkSbV7CLZ//O3HHzNE4p5J116/SQv36r588XdzJpWicUa6NrQnAYF4IkJq//aA2qRLnLqzjlpUnUi3P88FMQquYMAvF8WsRb4mGqnmQkN2DsOGuawJdO3UNs2cVpEl43XWFIaxLrFGerpYmhhaWJgBeyyuxYKdOB5x3+gkAnDy/mh3rLteG0MW2bOfZfdIHMpXQKlXi3IV13PrxZQD8TU1QO0IHMCAFPOufe4VrH3mBzbvUPS/uD0VSNwm0Nt9EMCsXgkOC1EX8YVqbb5rGo5o6xDY+wJoHRYfn1l9/X4skCQut11zlUB7ZqdPBfFhYmkgbGsPjrisKy9IkEhF/a7XV+liafPl2a4fTZOeeAVbfvF55SxOA323tAuDZbe3MX32n8nYmFlraniNr5dpqmCr0gQn5AAAgAElEQVRhTWQGBtQW60yEzbt6+POguHhKjQzRm0hz1ws7tSN2RVI3CUSbLuSqptXiTsigsaqedRd8R4vsVysibGRIxMX0pYa0iQgDYT78/mOOFnd8+pgPt15/MX6/9WddtDQ5nNFyxwYSlg+k3KnTwdIktvFlbrzvWXEnl9LGpw6sVAm5L5hOuusaQGfLj/VbO+ydwfSIUGKnc3nWb9XLi69I6iaJ99YIA9t/PCPKjuu3aUHoQEaEpRKQccyHdYkIs1ARESfnR+5co435cPT8s7jgXNnB0szSJB4Xu4I9fRpZmtjq17y7rjBaYk+RzMvnJYUSOvjUgUyPCFikLu6uawCdSV1vIk2wTCiwUyNDrrpOKJK6ScJ68VdWqm1DMBZ2FFha7vr49YkIszA0JP6wy8v1sFqwcPzCegC+/MW/Z8df7lKa0IHulibyFFxA6lS3NHH71KVs1bIOPnWtzUsIyG4PqQSANqkSoDepqwkHCEpz5fTIsKuuE4qkbpKwdg90U4faUWBZ+UYqSZ0uEWGxtg08//JWAD5x7Ze18KcDYWnyH9/6OQBrf/gbpa1MLOzPukQHS5NwWD9Lk4bacvD4RBfSzNsiEB186qJNC7j6g+8Xd1JxGqtKtEmVAHh01wCG10sikWDZnXrlv65aVEdpubhgsjp1Aa+HVYv0EoQUSd0kYV3R6EbqWqPXEgmGnfGr36NNRFisbQOrb76FbFqM8/b09WthPBy79wlW//O3GRwUxqGDw0nlPeqg0LrE6dS562oi2ryE791wPvbzmV2uhaVJa3Q5kaDP6dblUlr51H28SXi3nVlfwY7rP6UNoXtwWwctj7+IIQ2Id+/TK/91aX0tly0T61Lp0WGqgz4uOamRpfXqisgmQpHUTRJWp0638Wt0xXl89/J/h6wgdQ1z6rWJCGu5Yw3xZLLA0sSjhfFwy813E0+kKLQ0Ud2jDgosTQrMh3WxNIk2L8HvF7Ymrz5wnfKEDoRP3borP4I3IFSideUBrXzqrHUNKztaF1j5r96CVAnd8l+XHzVb/P5Mk6/+zXztCB0USd2koWunDuDcprPBhNLSUnZ+//daEDqQBsOmCXnZhZSWJqobD9tedGMsTVT2qAPH0iQcFh5TM2rLtbA0AWFrIq+bOOZjt2hhZwKC2B3bIDJSH/7qudoQOoCKigpAP1Jn5bx6wkL0Ucx/VRNFUjcJxLbcw2//8hgAqx+8RqvMV3BOWtZJTBc0zJ5VQOg8TkKB4sbDjhed23xYZY86C9Hzl/LBMxcB8IM7LtWG0K2+eT2mKU7Du/b0a+NTB+JiEGBkZGSaj2Rq8dsd4kJ+R1e3NokSUJD/akeFjbrqukBnMQgUSd27RmzLPaz+xdWkRsVVzN5MN6t/cbVWxE5XUtd6zVWELCd/jYyHW6+/mEg46OrU6eJRF7t3M49Ln7NLP/cj5e1MQPjUxZOZAgVsTgufOhBedX/ZLZbRP/71n2vhUQciUeJffvOiuJNKsLNvRJtECTv/tWD8qmP+a7FTV8SEaGm7kXgm4WS/BiGeSdDSduO0HtdUwtoX1I3URZvP4abVl4o7Xn2Mh6Pnn8W6b32OcEgQ1hm1Vcp71IHjU5dICj+p7p5hfXzqYJytieo+dbGNL7N67cOkZAdyX2+/NubDLW3PkcgbQgRi5iGb1iZRwsp/LasQ++Fl+ZTW+a/FTl0RLrT37xY3UnJ5O2i46xrggadFx2Dz9j8zf/UZ2qRJAKx4/0kAnPLeE7UxHgZB7JaeciwAP/3+vylP6GAinzr08amDcQbEqvvUtcSeIp7Kgk/atWRT2pgP28kRAXdUmC6JEucurOOzy0Ru7yULZ2hH6MAZvxY7dUW40FA1T3i4ZRE/RX9BXQPENj7Atx/8kbjj87Czu0OrmDDLeLisrGyaj2TqkUyK9nE4HJ7mI5kajPejM/ZTVwut15xDJOS3dzohr4VPnW0y7LUMiNPuusKwkyOCEfFvOuGuawDdd86K49ciJkRr802E8/JqLQgYBhF/mNbmm6b1uKYKLbHbSMflbNkv3nR0igkbHhaO4rqlScTufYJnn9sGwKcu+abyHnWgt0/duutX4fOLK8K5tSVa+NTZJsNeeaWby7jrCqO1eQkRv9eJCksltEqUAP1Jne7Pr0jq3iWiTRdy01lfFXeCBo1V9ay74DvaZL+293TaHnX4Pe66Bnj4qd8D8MCTTzG/+ePKGw+DYz6cTovOSNe+QS3Mh22fOvT0qVt4lLD++M0dn1We0EGB+bBF6vIZbcyHo00LWHfBMkIlQkwwM2BqlSgB+pOefjlWe/DPr3LtIy+weZfalk9jUSR1k8DyumUAnHrsKey4fps2hA5kHFhmPKnTISYs1raBH/1SjpE9Xnbu6dIiUUJX82HLpy4YFCfjWTMqtPKpe7VdjJE/cuWdWtiZWObDFeVitaEi6NHKfDjatIDm9x0DwB1/916tCB3oTeo27+phy0AWgPTIEL2JNHe9sFMrYlckdZOAzsbDrdFr8eXly8Mn/tUlJqzljjVkUiIiDI94bjokSuhqPgyC2P1N01EA3HPX1doQutU3ryct3mPo6h7UxqcuumIxX/37MwG49KyF2hA6C5YjgLWbqxOsdCTL/UAnrN/aYfvwWfmv6Vye9Vv1iEKDIqmbFCxSp1tEGIiYsJMbhQqKgJfGGXXaxIS1d+21Q8Ytnzq7rjB0Nh+O3buZPz77BgAXfmat8nYmMJFPXV4bnzpwhDqJRGKaj2TqoWuqBMAzfeKC96X2PZzxw8e1yX4F6E2kCZSI3c70yLCrrguKpG4SsK5kdOzUAVQGxBXN//vaj9ix7mktCB2MSZTwetx1haGr+bDlU5dKiYX7vd1DmvrU5dx1xfHCLvE81v76T8xffacWPnUWdCV1D27r4L+eFyQunxihczjJVx77qzbEriYcICD3IdPxEVddFxRJ3SSgc6cO9E6U8Fo2EholSkTPP4s7//saQPqdzZulhfnweJ86Qy+fOtzmw6r71IEwIL77SRkEn82ws3tIGwNigNcGxQXG1x/arFVU2K2bXiHlDYLhwUwlMHNZEtk8t256ZboPbUqwalEdpdLxID0qOnUBr4dVi/Tx4yuSuklA55060JfURZvP4eSFMvrGo0+iBMCqj4lds2AwyM6/3q08oYNCPzpzP3U14fjUOaROB586EAbEaWsnV1qa6GJAHNuynfu2yVWNdJKd/aPaRIXtGU5ieDx4QmJ0nk8m7LoOWFpfy2Wnif3OTCJOddDHJSc1srRe/RUVC0VSNwnoPn61np+Onchaqcx78H/+S6tECct4OBTSJ4R7vB+dXj514bBIXphRFdbCpw6k0bBlPixJnV1XHC1tz5H2uhMldIkKm1MmnpcnJMyU88lRV10HnDF/ljCdN01uWLpAK0IHRVI3KRTHr+pidFScrEpLS6f5SKYWsV88CsDgUJL5771EeY86mMinztDKp655+fEAfOfL52pB6EAaDRf41LnqiqO9fxQCMgLt/2/v/MOkOsu7/5nZmd2d4YdsWMLCwuwWjRAqUMGqYHATqYZu3wbaFag9vg16tWNJNk1MobaMCyXrrL4F32JDgplXLdSeKhAUYrOS2AQ3RLDaRZNYAlZxd2H5kewGAtn5sfPr/eM5Z3cHEwP0tKfn3udzXV6Z576A6x5n5pzvue/nub/ZTGnc46xbNJNQwI+vUjlmFNJJQgE/6xbNdDkzZ7HvaRJP+GpRd52Ynbt4/EfqlFrz4/djdu5yOSNnyeVyDAwM4PP5xAkfGBZ1Y8bIsfcx9xxk3YYvqYXPT/fpl0UMH7bn1JUH1f7HmskTxMypAwhajhLZbPZN/qR3iBuLqQxZ1R3LJkzKAOJI1RgIWo4Sg+nSuMdZNquWtiVzhoYr3+DL0bZkjjgPWKkHXUCLuuvC7NxFdPfdZAbUfoOXsn1Ed98tSth9qf2fACgGfMz40/eL8XwFNXz4x8deBOD31n7K80OHbWKtO4far3aLUsLwYVDCbvYsNfj68d2fFCPozPajfOsZZev2Z5/7hogZdaDm1D3w0Q+oRT5L3aTxYgYQxxvnUxm2RF1W/d4kWYUtm1XL4rdHAPjs4reJE3Qw3F3Tok4DQKx9I8lsCuz7ZwUksyli7RtdzcspzI59fDLxgFoEfHS/3Et0+3oRws5sP0C0tY2sZaV1tv+CCDcJsIYM2+NMRvy0JQwfBihYY2j8fhmXLXv48EBaTR/uv/iamOHDAKsa5gAwraqSrsQnRAg6UI4SbcvfpxaDGeqqxoizCrM9sSUOVwbdftVcQc+F0+pFxtrjU+ErjXucmLmF9IDaAGxbhCUzKWLmFhezcobYtodJptMlc+okuEmAPWS41E1iOO5tzD1HePGE8h1uXPG3np9RB/KHD4fDal9WMpl0ORPnMRYqgVpdXqSr5cOiBB3Ibk+C7PenRd11EKmaBsUi2EOoy0fEBdDTd+Z1fV97+s64lJFzDLlGDDlK+EvjHibecicV5QFrZVm7CRo+nM2qitbZ868KGz5suZpYVVYpw4dtRwmJos7eZ/zaa6+9yZ/0JtIrdbr9qikh3riJECF1GC8AlPkIB0PEGze5nZojRKqnQs6qQgb8pXGPE6mZrAR50Xp/VpXE624SoIYP//ndy9TC56du2iShw4eRNXz4CkcJCcOHYVjUpdPpoda5FEKhEH6/n3Q6TS6Xczsdx5FcyQLZ70+LuuvAWLCKv1kaV4tyH3VV00msfAhjwSp3E3OIuLGWcp9V8Qmo1nK4IkTcWOtiVs4Qb76LkHXaEL8ffD4RbhI271+kxmN86APvouv5HZ4XdPB6Q4Z9bxD3FpKHDwN87dBxfNZYk/o/fkiMmwRQMhVAYrVOeqVO76nT/BK/VXcrAG+fdhNdLcfFCDoAo2E5xqI71CLgp25SLYk1bSK8X43GpfzNvc1qIcxNAiCTUXOzysvleBkODxkenlNXGvcm9vDh8ePU3rO3jC0XM3zY7DhGdPsTFP3q4fDU+X5RNmFm50kGiqpt/o7P7BLhJjGS0SLqdKVOM4T9Zbe//NKYPeWtAHzy9/+ErsSzIgSdzdL3vhuAGZHpotwkAAatU70VFRUuZ+Icvzx8GFHDhz/50VsBuPcji0QIOlA2YclMbthVIpcVZRMW3X2YfED9xnpffkWMTZjN8cuqpbz3Rz/llq88zf7jvS5n5Cwv5ZUgf/LYL1j75HMcOSVjQgBoUXfdSHZbALh8WZkdjxs3zuVMnMdul0gaPGzz9DM/AmDvt46IcZSwhw8HAupCPLWmStTw4UBAVbMk7c0asgOzXSXyg6VxDxNrP0oym4egNVw5mxZjEwaw/3gvX/vpy4BylDhzOc36p14QI+yOnOrj+31qxuzgwGX6U4PseK5bjLDTou46kV6pkyzqxFqE7TnIl79qj8PwiXGUACXsptcqj+VDB2JiBB3IdJQYsgMbEnW50riHGbIDu8IqTIJNGMDmwyfIlqtDLoW0OrmcyhXYfPiEm2k5xt4Xe/FZ3rbZpHrAH8wX2PuiDNGqRd11oit13kWiRRgoR4nBQduL0povKMRRAuQNH7Z5/mdqnM7mHU9T39gmYvhw3FhMuCJQUqkTZRMGw5U6yypMgk0YwNnLafwjvF9HxiXQnxqk3LJBGxwYKIlLQNbV8b8RXanzLlJFnXKUKB3VMhQXgC3qfD6fy5k4h9l+lD3/8hO1KBboPntRhKuE0TCbxJrbqbTGmtw4LijKJiwcLIPy4farJJuwKeMqX1fUTRlX6VZKjjIxVE552BZ1l0viEtCi7jrRlTrv8uT31NDa/c88S33jHSIswuAKRwnkOUqcOXsBgPd9KO75wcM2sW0HyNpb6aw5dVJcJYyG2Sx559sA+NKfLhEh6EDZhCVWLhravnFDsCjKJmzdopmEx6rrfiGlHoBDAT/rFs10My3HaLq5ljHjVDHGbr+Wl/lpulmGx60WddeJ5Eqd2bGPpzqfBeBPHpHh+Wpjth/gy9/4plr4/XSfPSfG+zXecidBe1i0T56jRD6vBGvvuYsiHCXAco8YMaeuJC4AqVZhxoIZ/Mn75wKw/v1vFyPoAJbNquWzt8/HVxaAfI6aSj9tS+awbJYM0bNwejV/8t6b8fn95DJpJgR9rJ5Xx8Lp3n/4BS3qrhuplTqzYx/R7evJpNTpoPMD/US3yxF2sW0Pk7VmudkWYVK8X40Vt/E7H1qgFqIdJXwiHCXAdo+wRV3xirj3sV0lUtb1RBKShw8vv3kaE6vUd3Df780XI+hsFkUmMcG6d3/6Pb8mRtCBFnXXhdm5i699fzcA67+zEbNzl8sZOUfM3EIykyqxCUtmUsTMLe4m5hA9587/ku/rUFwAM9+mrNzaWj4m0FGi+AZx7xJvXkr5kF+vqtRJcpWwK3UDAzJOho7EFnX2VhVpjJYBxNJcJbSou0bMzl1Ed99N8jV1kerLvkJ0991ihF1P3xn1Ime1giybsKG4x4nUTAbbh9JfVhoXgMThw7/sHCHDUQLU8OE//v33qkWxSN2UCWJcJQC6+lXbtfmL36Y++ogYRwkY3m8ssVIH8kXdhAmqEinNVUKLumsk1r6RZDYF9unnCkhmU8TaN7qal1NEqlWlZ2SlriTuceLNdxGwT09alTpJ3q8SbcJ+2VHCJ8ZRAqDhXeowwYd/6x10ta8XI+jMjmP8y0+s2V/5PN0vXxJlFSa5/QqyrbRA7vvTou4a6blwWr3IWDeYcl9p3OPEjbWEgpVQsN5fmY9wRYi4sdbdxBzCaFzKwnco03vK5Hm/SqzU2Y4Sfr/6rU2beoNIR4l8Pu9yJs4SMw+RK1q3mIIarCzFKgx0+9Xr6ParBoBI1TT1YkSlriTucYyG5Wz9o5haBHzU3TiNxJo2Ud6vk60NwLs2f06U96u55yBfe/RpAP7qgZ0inCRsjBULGW/NyXr+8GfECDqAsjK1DUCSTRhYlmB+a79gPlcaF8APzqoK3WM/+g/qWx8V5f0KcitZNrr9qgEg3riJcDAEg8OVunAwRLxxk7uJOcjSue8HoHbyVLoSz4oSdCBz+LC55yDR+x5kYECdMuy/MCDGIsxGqqOE1EpdpHr8sKNEIVca9zhm50n+9sjP1SKbofvCANHdh0UJu9FSqdOibpRjLFjFF5seHKrURW6cTmLlQxgLVrmbmINIHjwMwzOz7JN5Eoi17iSZyjBy+LAkizCQ6SgB0NH5CwDaDx0TYxMGyiosaO/ttESdFKuwWPtRMj5LsFo2YclsnpiQzw5Gj6jT7VcNd8xsBJTo6d54QpSgg+EfsVRRZ8/MsmdoSWDICmxogK2vNO5xzD1HGEiqQyDveO+nRQweBmUT9ndfO6wWgmzCQDlKfOyD71SLfI66SePFWIX1XBgosQkriQuh1ypc/M1TR7nlK0+z/7gMw3sbXanTDCF18LCN9EqdLeokVeqGrcAsUWe5FEixCIveu4OiVak7deaCGEeJ2LYDZLLWZ2YNH5ZiEwZw2zzltLBy4VvpSnxChKADiFSNgaAl6gbTpXEB7D/ey3dOq/tAIZ3izOU06596QZSw03vqNENItgiDYVEn8f2Z7Qd48edq38tv33OfCHswUBZh4VAFI9uvEizC4PUcJRDjKKFswux2sjybsMpKJXzS6fSb/ElvEW+cT8jek5vNQLFIOFhGXMg4ms2HT5AvV52MQlpVH1O5ApsPn3AzLUex72/SRF3gzf+I5kp0pc6bmO0HiLa2kcuqvsKZvleItrYBeP4ErO0c8fE7DzGYg5rJE9nyWe9bhMEbO0dIcJSI1Eyg+zWr+iHQJkyqqLO9Xj+6tQzyeSLjymlb9l4xHrBnL6fxVVqiLpMqiUvBFnXSRtLoSt11MFoqddJEXWzbwyTT6RGOEn4xvq+ghN3smWq0zuO7W0UIOpDtKBFvXkpFubXhXqBNmC3q7KHYkjAWzOAt1qy6H923VIygA5gyrhK/VakrjhB1U6yxQhLoTqrT5j/qPsvaJ5/jyCkZ+4+1qLsOdKXOmwz5u44QdSVxAUgcPvzLjhKIcZQwGufz6T/5oFoItAmTWqmzscci2SfqpbBu0UxCY9Se40JGfXahgJ91i2a6mZZjHDnVx3d61X0um0rSnxpkx3PdIoSdFnXXgeRKndmxj/+zW1WuHnnqa5gd+1zOyDkiNZNVi8tuc1l7maT4voJMmzDbUcImMm2iKEeJ/9WgHE7m3jRZlE0YwFOWTdi/Hu8R5/0Kw4etpIm6ZbNqub9hHqAqdVPHVdK2ZA7LZtW6nJkz7H2xFyrUA0c2pfYMDuYLKu5xtKi7DqRW6syOfUS3rx8SrRczrxHdvl6MsIs330XIFjs+H/h8onxfQWalDpSws23Cfv7jzWIEHcgdPmx2HOMz3/ihWuRz4rxfYbhSZw80l8SyuW8F4MZgkWc//gExgg6gPzVIMKQ+u2wqWRL3OlrUXQdSK3UxcwvJTApyVnsy4COZSREzt7ibmEMYjUv5v/ffqxZ+vzjfV5BZqbMpWhVWacOHpdqExcxDpHPWZ2XZhEnyfgW5lToY3n7z2muvuZyJ80wMlY8QdQND15aJIe9fN7Wouw6kDuft6TujXuSs9mTAXxoXwP+6ZREAtTU1onxfQVmF9fWpURi/ueSToizCQL6ok1ap6+m7BGXWgIWCPO9XGBZ1Eit1dhXy8uXLQ789KTTdXEuosgJ/IEgxnyc/mKG8zE/Tzd6vRmpRdx3YTy7SRF2keqp6kR+u1JXEBWA/UUtyk4Bh79eCdfM8feYVcd6vNtJE3eOHjgPws56XRdmERarHg/+XRZ0E71cbqQclAILBIBUVFRQKBXEHXRZOr2b1vDoqxqjTy+PIsXpeHQune39YuxZ114jZuYuv/+seAP7qyQ2Ynbtczsg54sZawhWh4UpdmZ9wRYi4sdbdxBxEokUYjPR+tZ+oZXm/jqwUSBJ1ZvtR1j/0pFoIswmLG4sJhawRGPksIMf71ealtHoA/r3EAepbH8XsPOlyRs4y1hrZIrEFu3B6NTU3qHmQf74gIkLQgRZ114TZuYvo7rtJWqX2vsFXiO6+W4ywMxqWk1jTRtCnnq5rqieTWNOG0bDc5cycQ6qo6+nts0712uJHlvfrP+4+PPS6fs5aERZhoGzC0hm77SrLJsxomM0jdymfbAo5ItXjxHi/ApidJ/nhWWtwbTZD94UBorsPixJ2djdK2oBeG/v92VuqJKBF3TUQa99IMpsC+4BMOSSzKWLtG13Ny0mMhuXU36DarQc/+3VRgg5k+r6C7fE6bBE2NK5FiPfrJ+7bMbTuPt0vxvu1xCasKM8m7H9/YA7BoBqu/NNtHxMj6ABi7UfJl1mDoy2XmmQ2T0xAldVGcqUOZIpWLequgZ4Lp9WLrFUNKfeVxoVgb/q194tIQuqeunjLnYQqbWcC9bOW5P2aGho1oH5zUrxfIzUTwGddhgXahIFcV4meCwMQtEYH5TKlcSFIF3USrcK0qLsGIlXKgmmoUhe8Ii4EW9TZP2hJPPk91cb79uHvU994B2a799tcoCzCPv+Zj6uFz0fdtEkktmrv1//pxJuXEqq0xigU5dmEgVxXiUjVGAhYn112sDQuBImVrJHo9usoJ964iXAwVFKpCwdDxBs3uZuYgxSLRbGVOrP9AF/c/aha+H10nz1HtLVNjLBb9tvvAaBm8kS6nt8hQtDBG3u8SvB+NRrn84VP2VscCuJswmB4ELY0URdvnE/QciUgp0RdOFhGXNBnJ71SJ1G0alF3DRgLVpFY+RC+rGoBTb9xGomVD2EsWOVyZs4xODhILpcjEAiIG2Ab2/Ywg3YLyK9mgyXTaWLbHnYxK+fIZtUJQ3sPkxTiG5oIhUrfkxTvVwCj8V0AhCoC4mzCQG6lzlgwg4++19ojmM1QVzWGxMpFGAtmuJuYg1zIK4mw5hvf45avPM3+49630RqJxPZrwO0EvMYf/MaH+Wj2D/D5fHQ/cELUeAWQvZ+u59x5KFib0Ud8bj3nzruUkbNIFXXGioVks4N8zPgy4KNu2kTiG5rEWIVJdZSwkSrqAG69OcLfAx+dN42vtnzY7XQcZf/xXp67oB6CC5kUZy6nWf/UCwBiLMN0pU4zVIYeO3asOEEHsvfTRWomD58w9PtL4wKQKuoA/uD3VWu5vDxA1wtbxAg6kOv9Csr/9afn1A3z9o1fE+X7CrK9XzcfPkHBOghSyKipAalcgc2HT7iZlqPoPXWaElEnEcmVunjzXQRsMWf9N1xZSbz5Lhezcg7Jok6qRRiA3/ouFgoFUXZMZscxotufYLCoPrNzfa8S3f6EKGEn2fv17OU0vgo1JaCQSZfEpaArdZqhD1+aRZjNo888DsBPz3dRH70Fs2Ofyxk5h9G4lA+9+zfVwl9G3ZQaEi3rxfi/2qLOrvxIQrKo8/l8Iv1fY+YhkpncCKuwLMlMjph5yN3EHESyTdiUcZX4LVFXtCp1dlwKEvfUaVF3jUj1fQUwO/bxma//nVoEfHS/3Et0+3pRwq5+Sg0AD/7VX9DV/pgYQQfwzwe+D8CPX/gF9XNXi/J9lSzqQOa+up4+q6Vli7p8rjQuALtSJ7H9um7RTCqs92e3X0MBP+sWzXQzLUfR7VfNkKKX2H6NmVvIpKzSepk15DWTImZucTErZ5FqE2buOchn/9a2q/PTffplovc9KEbYSRZ1ZvtRspbf8tvv+JwI31eASLWqgmC7LhRypXEBSG6/LptVyx/OfzsAxUyaqeMqaVsyR8whCdDtVw2y2689fWcgb+3pCfhL40KQ6igRa91JJmMNQPXZrgsZYq07XczKOb7+DVWFTCYHRXm/mu1HibbupWg5ZZw6d4Fo614Rwi5uLCZcERjRfs0RrggQNxa7m5iDSG6/Atw6MwLA+6eM5dmPf0CUoAP4RVJtd/j30+dZ++RzHDnlfa9sLequEckHJSLVUyFnnQ4t85XGhZQ0sq8AACAASURBVCDV+7Wnt49h71ffFXFvY+45wp/9hTm0luT9Gtt2gGQ6W+L/mkxniW3z/kBso2E2iTW3M3aM+q3dEA6QWHO7KP9Xye1XGC5eSBw+fORUHwdOqbZrNjVAf2qQHc91e17YaVF3jUiu1MWNtQR91lO1VakLV4SIG2tdzMpZpLZfI7XVgH1y0n9F3NvEHthLKi3T+7Xn3EXrlf2ZFa+IexujYTZ/tGQeAJtWvkeUoAP41k9fAqD/1cvUtz6K2XnS5YycRbKjxN4Xe8FyBMmmVKV1MF9QcQ+jRd01IvmghNGwnKbfvF0tyvzUTaolsaYNo2H5r/6LHkKqqIu33El5UG22t6s+4VAF8ZY7XczKGXp6+0vM7kviHidSM0G9GFGpK4kLQOrwYbPzJM37O9UiN0j3K5eJ7j4sStjZok7SnjOb/tQgwZBqn9uizo57GS3qrhHJByUAbrqxDoCNxn10JZ4VJehA7p46Y8VtfGK1JcjxUzdtEomt94jwf5Xs/RpvXkq4Mgg+61JcLBKuDBJvlnMqW6qoi7UfJZUrQsCyU8xlSWbzxATsh7SR3H6dGCqnrLwCn7+MQnaQvDUSamLI2/aYWtRdI5LbryDbUQLk7qkDeO+71KiBP2i6la7nd4gQdGB7v1oX2qEqpAzvV6NxPomWJsrK1LaH2kljSbQ0ifJ/rahQrgSDg96ugFxJzwVrH53lukA2UxoXgOT2a9PNtVQEygiG1L0gmxqgvMxP083ePgyiRd01YHbuIvHMlwH47DNbMDt3vcnf8B6SHSXM9gP8tKsLgA/d/WeY7d7fjD4SqY4SxoqF/O1nPzK0rps2kcQXVouxCjMa5xOZUgVAx5f/VJSgAygvV4I8k8m4nImzRKqsa6RdqbNE3VBcACNt0Aq2b7YQFk6vZvW8OirC6j2OLWZZPa+OhdO9vQ9Zi7qrxOzcRXT33bx2WT2xvJK9QHT33eKEnVRRZ7YfINraNlRiP9PXT7S1TZSwkyrqAD58x7sAqJowRpz3Kwy7gEgaPmxjizpplbp443zCwbLhSl1ukHCwjLggUV5WVkY4HKZYLIoc27JwejWRG9U2jnt+Y5rnBR1oUXfVxNo3ksymIGsFyiGZTRFr3+hqXk4jVdTFtj1MMp0G+2nT5yeZThPb9rC7iTmIZFEnefgwINImzEZq+9VYMIPEykWUW3sGa0J+EisXYSyY4XJmziK5BQvyBhBrUXeV9Fw4rV4MWqfwgr7SuBCkzuHrOXdevbBPUVom6kNxAWhR513sSp1EUfejLjX36+HH/4366COYHcdczsg5jAUzeO/bpgHw9Y8sFCfoQIs6r6FF3VUSqVI/XOyHzfIr4kKQWqmL1ExWgs4WdZY4iNRMdjErZ9GizrtI9H4FMDuO8dVnTqhFIUf3y5eIbn9ClLCTbBUGsseaAIwfr2zrpLw/LequknjjJsLBEGSHK3XhYIh44yZ3E3MYqaIu3nwXoYoRJyh9PsKVlcSb73I3MQf5wdHjAPzt9v3Uz10txvcV5Is6qZW6mHmIQXt/fUG9t2QmR8w85F5SDjPyMIE09h/v5RdJ9QH+0a4O9h/39mDe18Ou1F26dMnlTJxBi7qrxFiwisTKhyjLqSfq2klTSax8CGPBKpczcxapos5oXMrW++9TC7+fuik1JFrWYzTKmAdm7jnIN7/1PWvlo/v0y0Tve1CMsJMs6sz2o7zwM7UN4Hfv+ZII31ebnr5LI7xf86VxIUit1O0/3sv6p14gZ53uffnCJdY/9YI4Yafbr6MYY8EqxvjUD/jfW46KE3QgV9QB3NGgjMQnV1fT1f6YGEEHEGvdOdR+HbbSyhBr3eleUg4iVdSZ7UeJtu5lMKuqIef6LhFt3StG2EWqx4Pfcjop5ErjQpAq6jYfPkEqV8BXoQa1FzIpUrkCmw+fcDkzZ9GVulFMsVgc2iwqUfSA7OHD9kR7+zSeJHp6+3g971cV9z57H/shAOdfukT9nLWYe464nJEzxLYdIJnODjtKUCSZzhLbJmPUTtxYPPx7syp14YoAcWOxi1k5i+2YYQ82l8LZy+p66S9X7684mC6JS8G+10lpn2tRdw0kk0kKhQKhUGhoD4wk/vG73+TSZfW0MvfPGzE79rmckbPYos6+CEsiUls95BvKiGpWpNb7c5fMPUdYt2H30Lr7dD/Re3eIEHY95y6qF1d4vw7FPY7RMJu1v2fNFCzkqJs0nsSa2zEaZrubmIPYloPSRN2Uceo66bPm8BUHMyVxKWhRN4qROu4DwOzYR/Shv1LFHj/09J8hun29KGFnT7SXKOriLXcSCNg/Z/XfcKiCeMud7iXlELEH9pJO28fO7dbyILEH9rqXlENEaiZYr4YrdaVx7/M77347AO952410JT4hStDBsKiT5m27btFMQgE/PqvSWshmCAX8rFs00+XMnEXayBYt6q4Byb6vMXMLKXtPSJn6WiQzKWLmFhezchbJ7VdjxW3c+r53qIXPT920SSS23iPC/7Wnt/+a4l4i3ryUcGWwpFIXrgwSb5az31Oqo4SN1Erdslm1tC2Zw/ixlo0WOdqWzGHZLG97o16JvZVKi7pRiORKXU/fGchZe7ICvtK4ECS3XwF+re5GAL74f++h6/kdIgQdQKR2IsP7Ba+MexujcT6JliZClepBY1JVmERLkyj/V6mOEjZS99SBEnbN1sPiH8ycLE7QgW6/jmoki7pI9VQo2G4LvtK4ECS3X0Hu8OH4hiYqK60Zg1b7NRwqJ76hyb2kHMRonM8HF6qWVuLTvy9K0MFwpc7+/UnjuZfUfeGh7z5PfeujmJ0nXc7IWezTvVJEz5XoSt0oRvK4j7ixlkq/deMss26cFSHixloXs3IWye1XkCvqjBUL+dzGYQFXN20iiS+sxlix0MWsnEWy96vk9qvZeZKv/qhHLfJZui8MEN19WJSws+930ka22OhK3ShGsqgzGpbzF3dE1aLMT92kWhJr2jAalrubmINIb79KFXUAy6zqVWT6RLpe2CJK0MGwo4Q0mzCQ3X6NtR9l0GdNQsip318ymycmZM4gyHbMAH1QYlQjWdQBvH/WbwLwgXe+j67Es6IEHcDBH6hZZ48+dZD6xjsw22XMArORLOqkDh+2GQ2VOont154LAxCwfm+5wdK4EKS3X4+/qr6Xp/susPbJ5zhyytuzPbWouwakizq7vG7/iCVhth/gK9+wxrP4fHSfPUe0tU2UsNOizruMBlEnsVIXqRoDlo3WSFEXqZJzj5Dcfj1yqo9vnnwFgFwmRX9qkB3PdXta2GlRdw1IF3X26S37iL4kYtseHr6p+K2RLek0sW0Pu5iVs2hR511sUVcoFFzOxHm+8a8/B2AgmaY++ghmxzGXM3KOeON8KuztHFb7NRwsIy7osIvkSt3eF3spWsOVc+kUxWKRwXyBvS96199Wi7prQLqok1yp6zl3/nUdF3rOnXcpI+fRos67+K0HDWmizuw4xpr/97RaFPN0v3SR6PYnxAg7Y8EMNjSqbSvkstRVjSGxchHGghnuJuYgkit1/alB/IEA/kCQYqFAPjs4FPcqWtRdJWbnLj7/nS8AsO37X8Ts3OVyRs5j/2glVuoiNZNHjGzxl8YFYO45yPe+/xMAPhrdgrnnoMsZOctoEXXS2q8x8xCpwTz4VCWSQoFkJkfMPORuYg7SNP9tANxUVUlXy4dFCTqQXambGFKt86B1z8ulUyVxL6JF3VVgdu4iuvvuIV/Ui7lXie6+W5yws9uvEit18ea7CFhOGbZ5eriyknjzXS5m5QzmnoNE73uQTEY9XZ7vu0T0vgdFCTvJos5sP8ru7zwPwKe2/jOmoJOTPX3qmkmZLepypXEBSHWUsJFcqWu6uZbyMj+BimFRV17mp+lm7w5Z1qLuKoi1bySZTQ07LgR9JLMpYu0b3U3MYSS3X43GpXzoPe9WC7+fuik1JFrWYzR6344p1rqTZCoD2K07H8lUhljrTjfTcpT931ZC52cnX6J+zlrMPUdczsgZzPajRFv38lpStc5feXWAaOteMcIuUj1evbDHfhTypXEBSPV+tZFcqVs4vZrV8+qoCCvhOqaYZfW8OhZOr3Y5s+tHi7qroOfCafUiawWCV8SFIPmgBMCMqVMA+MKn1tLV/pgIQQfQ02uf1LKttHxXxL2NuecIG+LfHFp3n+4neu8OEcIutu0AyXR2hPdrkWQ6S2ybjFPZcWMx4YoA+IcrdeGKAHFjsbuJOYhkmzAYFnXJZHKoYi6JhdOreetkZTm4Zt40Tws60KLuqohUTVMvssOVupK4ECRX6kDu8OFIrXURsi+4Vnt5KO5xYg/sJZ0u3bicTA0Se2CvSxk5R8+5i9Yru61cvCLubYyG2STW3E6ZdXintipEYs3tGA2zXc7MOUa2XyWKnsd/dh5fIEixWGTRIwfYf9y7J0PfCEkDlrWouwrijZsIB0MllbpwMES8cZOreTmNdFFnDz+VZhMWb7mTcKiCke3XcKiCeMudbqblGD29/SNWvjeIe5NIzQTrlXUptkTBcNz7GA2zmTFFVUKe3rRClKAD5QYSCAQoFApDJ9ClsP94L+ufegFfubpmnnnlVdY/9YI4YSfJVUKLuqvAWLCKxMqHKC+qEzE1VZNJrHwIY8EqlzNzFuntV6mVOmPFbSS23kOZdRBk6pRqElvvwVhxm8uZOUOkduI1xb1EvHkp4crgCK1aJFwZJN4sY2uAjWRXCZC7r27z4ROkcgV81iy34mCaVK7A5sMnXM7MWXSlbhRiLFjF296ijqp/588eFyfozI59fOPZbwNw/z/EMTv2uZyR89g3FGmiDpSwq7nxLQB8/ztbxQg6gPiGJiorAiWxcKic+IYmlzJyDqNxPomWJsaPVaJgwrhKEi1NGIKG14JsVwmQu6/u7GUlUv3l6v0VBjMlcSnoSt0oRerwYbNjH9Ht60mmVPu177ULRLevFyfs7Kdoae1XG6nDh40VC9n4l8uslY+6aRNJfGE1xoqFrublFEbjfP50xSIA/vJjt4oTdDD8m5Mq6qSONZkyTok5X4X6b3EwXRKXghZ1oxSpoi5mbiGZSUHO2pNV5iOZSREzt7ibmMNIbb/aSBV1AL/zoXkA/PrNtXS9sEWMoLOROnzYZrS0X6WJunWLZhIK+Ee0XzOEAn7WLZrpcmbOotuvoxSpoq6n74x6kbdObgX8pXEhSG6/gmxRJ3n4MMj2fgXZ7Vez8yQnX1XXliUP/jNm50mXM3KOZbNqaVsyh5B1eK6qrEDbkjksm+Xd4byvh67UjUIKhYLYgwSR6qnqxZCNlq80LgTdfvUu0kWd9Eqd1Par2XmS6O7DZC0btLOvvEp092Fxwu7Wm9T4rgduuUmcoINhUacrdaOIkeM+/H5Z/7fFjbWEK0LDjhkBH+GKEHFjrbuJOYxuv3oX6aJutFTqpLVfY+1HSWbzELC8QnNZktk8MSGOIDaSrcJg+P3pSt0oQmrrFcBoWE5iTRtl1lyF2klTSKxpw2hY7nJmzmG2H+BnPT0A/NaaezDbZUzstykUCkOCwBYIkpAu6qRX6qS2X3suWJWdgPUglRssjQtBslUYyGq/Bt78j2hAtqgDJezuDoZ5lVf5yUPfYcIEOcNPzfYDRFvbyGeVmfiZvj6irW0AYqzCRlbpJAof6aJOeqVOavs1UjWG7gsDUGaLuuxQXBKjpVInQbTqSt1VIl3UgVxHidi2h0mm01C0bpg+P8l0mti2h91NzEFyOSVYAwGZz2nSRZ1dqZMq6nr61fVz9dbHqI8+gtlxzOWMnCHeOJ9wsGxE+3WQcLCMuLCxNLpS5x20qLtKpIu6XC5HNpvF7/eL25PVc+68enHFQZChuAD+6dGnAUilstTPXY2556DLGTnLaBF1EtuvZscxnj1xTi0KebpfvkR0+xMihJ2xYAaJlYsYO0aJnhsqfCRWLsJYMMPlzJxFeqVOH5QYhUgXdfbJ3nA4LO7GGamZrDw1R1TqhuICMPcc5N6/fEQtfD66T79M9L4HRQk76aLuuZ+eBWDLzu9S39iGKWijfcw8RK5o3WoKSrQmMzli5iEXs3IOY8EMPrZI+dlu+MBscYIO5Ffq9EGJUchoEXXSxrUAxJvvIjQ0xsQHPh/hykrizXe5mpdTxFp3kkrZtj1K9CRTGWKtO91LymG+/S/PA9D54y7q56zF3HPE5Yycw2w/yp5/+YlaFIt0n71ItHWvGGHX03cJ/NbhnUKuNC4E+0S9NO9XG12p8w5a1F0l0kWd1P10oA5D/N26+9XC76NuSg2JlvViDkn09PYBVmt52Bneinsfc88R2j7/z9bKR/fpfqL37hAj7GLbDpC13VyszzGZzhLbJuOEdqR6/AhRly+NC0Gqo4SN9Erdv19QYvylC6+y9snnOHLKu9dOLequEi3qvM2yhsUATKyqoqv9MTGCDiBSW83riToV9z6xB/aSyWRLYsnUILEH9rqUkbP0nLvI8OdWuCLufeLGYoLWSBNb1IUrAsSNxS5m5SzSRZ3kSt2RU33s+ZkScbl0ir5khh3PdXtW2GlRd5VIF3WS268ge/BwvOVOKiuswy3WnrNwqIJ4y50uZuUcPb39DIvWK+PeJ1IzYehzo1gsjQvAaJhN0/vUnjMKOeomjSex5naMhtnuJuYgo0XUSazU7X2xl7y/DH8gSLGQp5DLMpgvsPfFXrdTuy60qLtKpIs66ZU6yb6vxorb+Ezso9bKR920SSS23oOx4jZX83KKSO3Ea4p7jXjzUoJBexSNEnXhyiDxZjnV5PfMVDZT9/z2PLoSnxAl6ED+njr7viCxUtefUrMTA5VKmGdTyZK419Ci7iowO3fxf574PADbf/AlzM5dLmfkPKOlUifV97Xxg+8CYNbbI3Q9v0OMoAOIb2iiosIWPXYlspz4hib3knIQo3E+f/S777JWReqmTCDR0oQhaNaZ7ShhD8mWhq7UeZeJIfXdDFqiLpdJl8S9hhZ1b4LZuYvo7ru5dFmd1Ho1/yrR3XeLE3bSK3XSRZ3k4cPGioV86t7GoXXdtIkkvrAaY8VCF7NylkXzfg2Aj93xLrra14sSdDDsR6xFnTeRXKlrurmW8jL/UKUul05SXuan6eZalzO7PrSoexNi7RtJZlOQHTa7T2ZTxNo3upuYw0gXdbY9kcT2K8gWdQAfvO3XAVj0npvoemGLKEEHsocPgxZ1XufZs6qo8YuXXuGWrzzN/uPe3G/2eiycXs3qeXVUWve+cCHL6nl1LJzuzYNmWtS9CT0XTqsX9rUoeEVcCNLbr/aeOrsNJA3pok768GHp3q/SRZ39sChR1O0/3svf/OAXABQG05y5nGb9Uy+IE3Y3T70RgD+eU+tZQQda1L0pkSq1wfdKUTcUF4DZsY91X44DsOf738bs2OdyRs5jV+qkijq7wmOLA2lIF3W6UudtJFfqNh8+QcavrpvFQfVwnMoV2Hz4hJtpOY4UVwkt6t6EeOMmwsHQcPs16CMcDBFv3ORuYg5hduwjun09Fy6pmViXBweIbl8vTtjZok7vqfMm0kWdrtR5G7tSZ3cEJHH2chrKAuD3QyFPMZ8bjgvCdpXQok44xoJVJFY+RHlRPalMvmEyiZUPYSxY5XJmzhAzt5DMpMCeaF/mI5lJETO3uJuYw0iv1GlR5210pc7b2A+LEkXdlHGV+Hw+fEH1HovZwaG4JOz95F6vtmpRdxUYC1Yxs+omAJ5ofkyMoAPo6TujXuStSmSZvzQuBL2nzttIF3W6UudtnviP8wAc6+2jvvVRzM6TLmfkHOsWzSQU8OMLWi3YbIZQwM+6RTNdzsxZpIxt0aLuKrFPh0obPhypnqpeFGxR5yuNC6Hjh50AfP3J71DfeAdmuwxfTRst6ryNXamTLursirkkzM6TfPrJn6hFPkv3hQGiuw+LEXbLZtXStmQOwXJVqZtU7qNtyRyWzfLmyI83QsrYFi3qrhKpIz/ixlrCFaERlTof4YoQcWOtu4k5iNl+gB37H1MLn5/us+eItraJEna2qNMHJbyJ9Par5OHDsfajpIvWrdTab5bM5om1H3UxK2dZNquW+klVAHz1d98pTtCBFnWjDvuDljbyw2hYTmJNG2OC6n1NfMsNJNa0YTQsdzkz54hte3i4QmCJgmQ6TWzbwy5m5Sy2GNCVOm8ivf361AtqBNThF09RH30Es+OYyxk5R8+FAXWQACCfLY0LQvIJX9CibtRhf5GlVepACbvGd94KwPa746IEHUDPufPDRukjREHPufMuZeQ8Tz/zYwAe+/YPqJ+7GnPPQZcz+q9BqqjrsFp1jz9zjPrGNkxBVR6z4xif++YP1aKQp/vlS0S3PyFG2EWqxkCZNesqly2NC0KLOm+gRd1VkM/nGRwcxO/3i91ob/9QJTouRGomQ9GqgIwQBZGayS5l5CzmnoN88e8ft1Y+uk+/TPS+B0UJu3/p+HcAnuo4Rv2ctZh7jrickXOY7Ud58Ov2+ynSffYi0da9YoRdzDxEOmc9VBVURTmZyREzD7mYlXPEG+cTqrRGJRXyUCwQDpYRF2b1pkWdN9Ci7ioY6bYgtVJge6NKFHXx5rsI+K29Zj71lQ9XVhJvvsvFrJwj1rqTwcwV7eVUhljrThezcg5zzxG2Pvzk0Lr7dD/Re3eIEXaxbQfIZK29dNbDRzKdJbZNxp7Pnr5LYP/+ivnSuACMBTP4f6veN9SCjYyrILFyEcaCGS5n5ixa1HkDLequAqmHJEYiWdQZjUv57fdZXqF+P3VTaki0rMdoXOpuYg7R09sHWJUQfFfEvU/sgb1kMnZbyxatg8Qe2OteUg7Sc+4iIz+30rj3iVSPHxZ1I/YMRqrHu5SR8xgLZjB+jLo/PHd/ozhBB1rUeQUt6q4CqYckRiJZ1AG8fbqyddt8/710tT8mRtABRGqreT1Rp+Lep6e3n+H3d2Xc+0RqJjD0uRULV8S9T9xYTGWFtW3FqtSFKwLEjcUuZuU8kgcQgxZ1XkGLuqtA8iEJm5EtZolIHj4cb7mT8qA9ykSJg3CognjLne4l5SCR2onXFPca8ealVFRYG+0t8RquDBJvlvHgYTTMZvPHlqhFIU/dpPEk1tyO0TDb3cQcRos6b2Pf3/Xw4VGArtR5H8k2YcaK2/jIhxvUwuejbtokElvvwVhxm7uJOUR8QxMV5faoFlu0lhPf0OReUg5iNM7nUx+zP6sidVMmkGhpwhC00f4jDe8AoCocpCvxCXGCDoavnfa1VBqjRdTpSt0oYDRU6rSo8zbz56o9PPdEl9H1/A4xgg7AWLGQ5k8sGVrXTZtI4gurMVYsdDErZ1n6vpsBeM87ptPVvl6UoAP5NmGgK3Vex3aL8rqokzmp1GH0QQnvY4s6+8IrDek2Ybe+bxafBxo/NI/HH9/idjqOI3348GgSdbpS5010pW4Uoduv3kfynjrQjhJeR7pN2GgQdfa1U1fqvIkWdaMI6e3XYrEoevgwyG+/au9XbyO9Ujfy/Ul9j7r96m20qBtFSK/U5XI5CoUCgUBAbKVHt1+9jXRRJ71S5/P5xFfrdPvV2/zbuVfx+cvIZrN8sv3fOHLKm3M+tai7CqRX6qS3XkF++1WLOm8jvVIH8luwuv3qXY6c6mPn8z0EKtRn+NKrl9nxXLcnhZ0WdW+C2bmLlsc2AfDVH/8TZuculzNyntEg6kZL+1WLOm8ivVIH8kWdbr96l70v9jKYL1BmfYa5TJrBfIG9L/a6nNm1o0Xdr8Ds3EV0991cvKzsei7lLhPdfbc4YSd9Px3o9qvmfza2qBsNlTr7tygN6XPqftynhvI+efwUt3zlafYf957geSP6U+o7aVfqctZnaMe9hBZ1v4JY+0aS2RTkrEDQRzKbIta+0dW8nGb3M98C4PSFc9RHb8Hs2OdyRs4jvf2qT796m9HQfrV/e7pS5z32H+9l57+fAaCQzXDmcpr1T70gRthNDKnvpi3q8pl0SdxLaFH3K+i5cFq9sEVd4Iq4AMyOfbT84+fVosxH98u9RLevFyfsRkv7VZ9+9Sa6/ep9JIu6zYdPkPWrz6+YVdfSVK7A5sMn3EzLMZpurqW8zD9cqRtMU17mp+nmWpczu3a0qPsVRKqUCTw5y0w84CuNCyBmbhluF/jV+0tmUsRMOQNezfYD/LznFAC/taYZs/2Ayxk5j/T2q3RRNxoqddJF3cmL6jp636Pfo771UczOky5n5BxnL6fxBZVotUWdHZfAwunVrJ5XR6W1bzBczLN6Xh0Lp1e7nNm1o0XdryDeuIlwMAT2NSgA4WCIeOMmV/Nykp6+M5C3RGuZrzQuALP9ANHWNnI59SGeebmfaGubOGGnRZ23kV6pMzuO0d33GgC3rjcxO465nJGzmJ0neeJnL6lFPkf3hQGiuw+LEXZTxlXiC6ouRzGbKYlLYeH0auZOmwzAnb8+xZOCDrSo+5UYC1aRWPkQIb9S75MmVJNY+RDGglUuZ+Yckeqpw6LO7yuNCyC27WGS6TQUrPfo85FMp4lte9jdxBzE3HMQc/fTAMQ+8w+Yew66nJHzPGO1efY+9m/Uz1mLueeIyxk5y/7vKpFz+vxF6hvbMNuPupyRc5gdx4huf4JsQV1fzvZfIrr9CVHCLtZ+lJzP2vqQVw+QyWyemJDPcd2imYRCSsDZlbpQwM+6RTPdTMtxJAwg1qLuTTAWrGLx9EUA/MOdXxYl6ADixlrKy1RbxK7UhStCxI21LmblHD3nzqsXxWFRVxL3OOaeg0Tve5DXBtRF6JULA0Tve1CUsDP3HCGx47vWykf36X6i9+4QI+zM9qN86gvfVotige6zF4m27hUj7GLmIZKZHFjVSIp5kpkcMfOQu4k5SM+FAbCvo7lsaVwAy2bVsmHJbwCqUjd1XCVtS+awbJb39pz9KrSoGyXYH7DE4cNGw3KiH7CEapmfukm1JNa0YTQsdzcxh4jU5zDAJAAAC+lJREFUqHI6RWuvknVjGYp7nFjrTpKpDGCJVnwkUxlirTvdTMtRYg/sZXCwdB9WMjVI7IG9LmXkLLFtB0hlciWxZDpLbJuMLQI9fZfUC7uSVciXxgUQqRoDZdbWh3yuNC6EpnlvBSBYyPHsxz8gTtCBFnWjBumOEu+aMQeAP1rSRFfiWTGCDiDefBehioqSSl24spJ4813uJuYQPb3WxPMrK5G93puE/kb09PZfU9xr9Jy7OPS5DX2OdlwAkerx6oXfEnXFfGlcAPHG+cMn6632azhYRrxxvotZOctIxwypez+1qBslSPd+lTx82Ghcyhdjfzm0rps6hUTLeozGpS5m5RyRWnsz73ClrjTufSK1E0esfG8Q9y6RmgkMv6/CFXHvEzcWE64IDIu6Qp5wRYC4sdjdxBzEWDCDjy2arRa5LHVVY0isXISxYIa7iTmIz+cTP2DZFnUDA95tm2tRdxVIr9RJtwn78JLbACXKu9ofEyPoAOItdxIOVTBS1IVDFcRb7nQzLUeJb2iivLx0/l44VE58Q5NLGTlLvHkpoUqrymNV6sKVQeLNMr6nRsNsEmtup9Ka43bjuAoSa27HaJjtcmbOctus6QCsmDONrpYPixJ0NvY9UKJVGOhK3ahBeqXOFnVS359kNwljxW0ktt5DqFJt0p5UPYHE1nswVtzmcmbOYaxYyMc/alV1fD7qpk0k8YXVGCsWupuYQxiN8/m7T9lbHorUTZlAoqUJQ1DrzmiYzQffqUROYs0HxQk6kD182Eay/ytoUTdqkHxQAuRX6qS7SRgrbuPWW9S+yJ3b14oSdDaL3v02QAm8rhe2iBF0Nn/YuACAUEWArvb1ogSdjfThw9Jbk6BFnRfQou5NKBaLQ19gqZWs0SLq7CdpiUgfPmyjhw97F+miTlfqvI8WdaOAbDZLPp8nEAgMXZSkIfmgBMhuv9qMFu9XqWibMO9jizpdqfMuWtSNAqRX6WD0VOpGg6iTWqnTNmHeR7qoGznyQyrSRd2YMWquoBZ1gpG+nw7kH5QYDe1XWwxoUedNbFFXLBbFViWlizrdfvU+ulI3ChhNok5X6ryLrtR5G5/PN/TepIs6+/coDd1+9T5a1I0CdPvV+4ymPXVa1HkX6S1Y+/cntVKn26/eR4u6UcBoqNRJPygxmip10g9KSBZ10g9L6Par9xktok47SghGV+q8z2jYU6crdd5HeqVOuqjTc+q8j67UjQJGQ6VO+kEJ3X71PqNB1OlKnbfRlTrvo0XdKEBX6rzPaGi/6tOv3kdX6ryN/f5yuZzYz1C6qBtZbfXqw5UWdW/CaKjUjZY9dbr96l1Gg6jTlTpv4/P5xB+WkC7q/H6/59+jFnVvwmgQddIrdbr96n1Gg6izK3Va1HkX6S1Yrwueq8HrLVgt6n4FZucu/nJfCwC7XngUs3OXyxk5j9mxjzN95wB4X+zDmB37XM7IeZ49+iMA/v6xf6a+8Q7M9gMuZ+Qs5p6DnD3fD8B7f+t+zD0HXc7Ief618+cAJHZ8l/o5azH3HHE5I2cx249y8bJ6uPqNlZ/HbD/qckbO8+OuPgD+7ls/pD76CGbHMZczchaz8ySX1bMVcz/7KGbnSXcT+i/gxKvqO7rjhz/llq88zf7jvS5n5CxHTvUx6FcPH7ED/8aRU30uZ3TtyHysdwCzcxfR3XeTvHQJgMv514juvhsAY8EqN1NzDLNjH9Ht6ynk1P6P0xfOE92+HgCjYbmbqTmG2X4A8/Fvq4XPR/fZc0Rb2wAwGpe6mJkzmHsOEr3vQQrWHp7TZ18het+DABgrbnMzNccw9xzB3G2LOB/dp/uJ3rsDAGPFQtfycgqz/SjR1r0UrJnDp89fJNq6FwCjcb6LmTmH2XGMr33vp2pRyNH98iWi258AwGiY7WJmzmB2niS6+zAFv7qlnu5/lejuwwAYC2a4mZpj7D/ey/6fK5FTyGY4cznN+qdeAGDZrFo3U3OEI6f62PFcN/4K1bF6+dXL7HiuG4CF06vdTO2a0JW6NyDWvpFkNgU560ob8JHMpoi1b3Q3MQeJmVtIZlKQt95jmY9kJkXM3OJuYg4S2/YwWXuCvU993ZPpNLFtD7uYlXPEWneSTGUA24XARzKVIda60820HCX2wF6y2dKN58nUILEH9rqUkbPEth0gmc4CVmu5WCSZzhLbJqeiHDMPMZi33p/VXk5mcsTMQy5m5Ryx9qMks3kos+ok+RzJbJ6YoIrr5sMnyFlVrGJWXVNTuQKbD59wMy3H2PtiL4P5AoFyJepymTSD+QJ7X/RWNVJX6t6Angun1QurnE7wirgAevrOQKE4Ug8Mx4XQc+482LZLfl9pXAA9vVZ7wH6P1p6zobgAenr7Gf6SlsYTiQSJROK/PykH6Tl3Ub3w2c/YxdK4AHr6LoG1Z5BivjQugJ4L1rDaMutGkc+VxgVw9nIaX1DtS7ZFnR2XQH9Kvacya19kLpMqiXsFLeregEjVNLovnIJ3B2FuACp9Q3EpRKqn0v3SafjQNCXuLEEQqZ7qcmbOEamZTHcuC1UTocxfEpdApLaa7tMvw/j3AwWgbCguhUjtRLpPvRUC08AXLIlHo1Gi0eiv/Pv/0w9XRGom0H32Itz0EaXngmOH4lKIVI+ne3A2fPBTEKgsiUsgUjWG7gsDsPw+FRgzYSguhSnjKjn9trlM+/SX8FeGS+ISmBgqpz81SMP9n6FIkdCEG4biXkK3X9+AeOMmwsGQEnMT/FDpIxwMEW/c5HZqjhE31hKuDEM4AGPVzTJcESJurHU5M+eIN99FeMxYqKiAgPUeKyuJN9/lcmbOEG+5k3CoAspCUDYGfD7CoQriLXe6nZpjxDc0EQ6PhbJx4Fc3kHConPiGJpczc4Z481LClUEofwtUvAV8fsKVQeLN3t/zaRM3FhMeOxbGTIQKJXTCFQHixmKXM3OGeON8wsEyGF+t/lcWIBwsIy5kTyTAukUzGTMmTLB6CmVj3wJAKOBn3aKZLmfmDE0311Je5mfMpMmMnVRDWbCc8jI/TTd7a79g2V//9V878e848o/8T2Lu1HdQf0MdnaePcil9mbqq6WxdvlnMIQmAufWzqJ9US+fPf8Kl1GvUTapl68dbxBySAJh709uonzqFzhdf5NLAAHVTati67n4RhyQA5v76r1EfuZHOH/8Hly6nqJs2ia2fjYo5JAEw99enUx+ppvNHXdZ7nMjWz/3hVR+S2LRp+EHMoeudo8y9aQr1U6vofPE0lwbS1E2ZwNZ1d4g5JAEwt34S9ZPeQufPz3MplaFu0ni2fvwDIg5JAMydWkX9DWPpPN3PpXSWuqoxbF3+bjGHJABmVY9n2vgQL7z0Kq8N5pg6rpINDbNFHJIAmP6WMNWhcrouJknl8kwMlfOH75j+331I4j9dNfLZ85/+kzjyj2g0Go3TjGy/OnS902g0mv8K/tN7RXT7VaPRaDQajUYAWtRpNBqNRqPRCECLOo1Go9FoNBoBaFGn0Wg0Go1GIwAt6jQajUaj0WgEoEWdRqPRaDQajQC0qNNoNBqNRqMRgBZ1Go1Go9FoNALQok6j0Wg0Go1GAFrUaTQajUaj0QhAizqNRqPRaDQaAWhRp9FoNBqNRiMALeo0Go1Go9FoBKBFnUaj0Wg0Go0AtKjTaDQajUajEYAWdRqNRqPRaDQC0KJOo9FoNBqNRgBa1Gk0Go1Go9EIQIs6jUaj0Wg0GgFoUafRaDQajUYjAC3qNBqNRqPRaASgRZ1Go9FoNBqNALSo02g0Go1GoxGAFnUajUaj0Wg0AtCiTqPRaDQajUYAAYf+HZ9D/45Go9E4TXHEa32t0mg0YtGVOo1Go9FoNBoB+IrF4pv/KY1Go9FoNBrN/2h0pU6j0Wg0Go1GAFrUaTQajUaj0QhAizqNRqPRaDQaAWhRp9FoNBqNRiMALeo0Go1Go9FoBKBFnUaj0Wg0Go0AtKjTaDQajUajEYAWdRqNRqPRaDQC0KJOo9FoNBqNRgBa1Gk0Go1Go9EIQIs6jUaj0Wg0GgFoUafRaDQajUYjAC3qNBqNRqPRaASgRZ1Go9FoNBqNAP4/ZYGV6oYclYsAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# plot reconstruction error\n", + "fig = plt.figure(figsize=(16/3*2, 16/3*2))\n", + "ax = fig.add_subplot(111)\n", + "subset = np.arange(0,trajs.shape[1],4)\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " temp = trajs[j,:,:].copy()\n", + " plt.plot(temp[:,0],temp[:,1], 'k', linewidth=2)\n", + " temp2 = trajs_recon[j,:,:].copy()\n", + " plt.scatter(temp2[subset,0],temp2[subset,1],color=colors[j])\n", + " \n", + "#plt.axis('equal')\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "xlab = [-.4,0,.4]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.4, 0, .4]\n", + "plt.yticks(ylab, xlabels)\n", + "\n", + "\n", + "#plt.savefig('ToyExampleRecon.png', dpi=200, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "([,\n", + " ,\n", + " ],\n", + " )" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# plot 1-step prediction error\n", + "fig = plt.figure(figsize=(16/3*2, 16/3*2))\n", + "ax = fig.add_subplot(111)\n", + "subset = np.arange(0,trajs.shape[1],4)\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " temp = trajs[j,:,:].copy()\n", + " plt.plot(temp[:,0],temp[:,1], 'k', linewidth=2)\n", + " temp2 = trajs_pred[j,:,:].copy()\n", + " plt.scatter(temp2[subset,0],temp2[subset,1],color=colors[j])\n", + " \n", + "#plt.axis('equal')\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "xlab = [-.4,0,.4]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.4, 0, .4]\n", + "plt.yticks(ylab, xlabels)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "# now apply network to these trajectories again, but this time for many steps\n", + "# this time, only network initial condition of each trajectory.\n", + "trajs_long_pred = np.zeros(trajs.shape)\n", + "\n", + "num_steps = trajs.shape[1]-1\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " ic = np.squeeze(trajs[j,0,:])\n", + " trajs_long_pred[j,0,:] = ic\n", + " trajs_long_pred[j,1:,:] = n.PredictKoopmanNetOmegas(ic, W, b, deltat, num_steps, params['num_real'], params['num_complex_pairs'], \n", + " params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "trajectory 0: worst rel. error 0.019\n", + "trajectory 1: worst rel. error 0.019\n", + "trajectory 2: worst rel. error 0.019\n", + "trajectory 3: worst rel. error 0.017\n", + "trajectory 4: worst rel. error 0.044\n", + "trajectory 5: worst rel. error 0.043\n", + "trajectory 6: worst rel. error 0.043\n", + "trajectory 7: worst rel. error 0.047\n", + "trajectory 8: worst rel. error 0.110\n", + "\tfirst ind with error > 10p: 929 of 1001\n", + "trajectory 9: worst rel. error 0.354\n", + "\tfirst ind with error > 10p: 157 of 1001\n", + "trajectory 10: worst rel. error 0.314\n", + "\tfirst ind with error > 10p: 194 of 1001\n", + "trajectory 11: worst rel. error 0.070\n", + "trajectory 12: worst rel. error 0.085\n", + "trajectory 13: worst rel. error 0.087\n", + "trajectory 14: worst rel. error 0.087\n", + "trajectory 15: worst rel. error 0.087\n", + "trajectory 16: worst rel. error 0.046\n", + "trajectory 17: worst rel. error 0.019\n", + "trajectory 18: worst rel. error 0.019\n", + "trajectory 19: worst rel. error 0.019\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 1b\n", + "# plot long-term prediction:\n", + "# if only give network initial condition, then have network predict many steps, how long is it accurate?\n", + "\n", + "fig = plt.figure(figsize=(12,9))\n", + "ax = fig.add_subplot(111)\n", + "\n", + "for j in np.arange(trajs.shape[0]):\n", + " temp = trajs[j,:,:].copy()\n", + " plt.plot(temp[:,0],temp[:,1], 'k', linewidth=2)\n", + " temp2 = trajs_long_pred[j,:,:].copy()\n", + " \n", + " diffs = np.linalg.norm(temp - temp2,ord=2,axis=1)\n", + "\n", + " normalize = np.linalg.norm(temp,ord=2,axis=1)\n", + " relerr = diffs/normalize\n", + " print(\"trajectory %d: worst rel. error %.3f\" % (j, np.max(relerr)))\n", + " indBigErr = np.nonzero(relerr > .1) # 10% error \n", + " if len(indBigErr[0]) > 0:\n", + " print(\"\\tfirst ind with error > 10p: %d of %d\" % (indBigErr[0][0], trajs.shape[1]))\n", + " indEnd = indBigErr[0][0]\n", + " else:\n", + " indEnd = trajs.shape[1]\n", + "\n", + " subset = np.arange(0,indEnd,4)\n", + " plt.scatter(temp2[subset,0],temp2[subset,1],color=colors[j])\n", + " \n", + "xlab = [-.4,0,.4]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-.4, 0, .4]\n", + "plt.yticks(ylab, xlabels)\n", + "\n", + "ax.spines['left'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['top'].set_color('none')\n", + "\n", + "plt.savefig('ToyExampleLongPrediction.svg', dpi=200, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We now predict the initial conditions 50 steps forward\n" + ] + } + ], + "source": [ + "# shape: num_examples, num_steps, n\n", + "# send initial conditions through network again, but predict many steps (50)\n", + "print('We now predict the initial conditions %d steps forward' % max_shifts_to_stack)\n", + "long_pred_Xk = n.PredictKoopmanNetOmegas(Xk, W, b, deltat, max_shifts_to_stack, params['num_real'], params['num_complex_pairs'], params['num_encoder_weights'], params['num_omega_weights'], params['num_decoder_weights'])" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "# how does prediction error change with the number of prediction steps?\n", + "# we expect it to accumulate error, but hopefully not too fast\n", + "long_pred_error = np.zeros((max_shifts_to_stack, ))\n", + "for j in np.arange(max_shifts_to_stack):\n", + " long_pred_error[j] = np.mean(np.mean(np.square(long_pred_Xk[:,j,:] - X_stacked[j+1,:,:]), axis=0)) " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "log10 error ranges from -7.03 to -5.76\n" + ] + } + ], + "source": [ + "# so we can put ticks in good places\n", + "print('log10 error ranges from %.2f to %.2f' % (min(np.log10(long_pred_error)), max(np.log10(long_pred_error))))" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Supplementary Figure 1a\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111)\n", + "fig.set_figwidth(16)\n", + "fig.set_figheight(16/3*2)\n", + "\n", + "plt.plot(np.arange(max_shifts_to_stack), np.log10(long_pred_error), linewidth=3)\n", + "\n", + "xlab = [0,max_shifts_to_stack/2, max_shifts_to_stack]\n", + "xlabels = ''\n", + "plt.xticks(xlab,xlabels)\n", + "ylab = [-5.7,-6.4,-7.0]\n", + "ylabels = ''\n", + "plt.yticks(ylab,ylabels)\n", + "fig.savefig('ToyExamplePredOverSteps.svg', dpi=200, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "file 1 has 3500 trajectories\n", + "# training traj: 3500 (goes in Table 2)\n", + "Note: accidentally reported in paper that we used more data than we did.\n", + "See DiscreteSpectrumExample.m: used 5000*.7 = 3500 per file, not 5000\n" + ] + } + ], + "source": [ + "# moved this to the bottom because it's so slow\n", + "loss1_train, loss2_train, loss3_train, loss_Linf_train, loss_train, regularized_loss_train, total_num_traj = n.loss_training(params, max_shifts_to_stack, W, b)\n", + "print(\"# training traj: %d (goes in Table 2)\" % total_num_traj)\n", + "print(\"Note: accidentally reported in paper that we used more data than we did.\")\n", + "print(\"See DiscreteSpectrumExample.m: used 5000*.7 = 3500 per file, not 5000\")" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reconstruction loss (on train set): 9.2434E-09\n", + "Prediction loss (on train set): 4.3168E-08\n", + "Linearity loss (on train set): 8.6508E-08\n", + "L_inf loss (on train set): 5.6665E-10\n", + "Pre-regularization loss (on train set): 1.3949E-07 (goes in Table 1)\n", + "Total regularized loss (on train set): 1.3949E-07\n" + ] + } + ], + "source": [ + "print('Reconstruction loss (on train set): %.4E' % loss1_train)\n", + "print('Prediction loss (on train set): %.4E' % loss2_train)\n", + "print('Linearity loss (on train set): %.4E' % loss3_train)\n", + "print('L_inf loss (on train set): %.4E' % loss_Linf_train)\n", + "print('Pre-regularization loss (on train set): %.4E (goes in Table 1)' % loss_train)\n", + "print('Total regularized loss (on train set): %.4E' % regularized_loss_train)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Test error" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "DO NOT CALCULATE UNTIL READY TO REPORT FINAL RESULTS" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "test file has 500 trajectories\n", + "Note: accidentally reported in paper that we used more data than we did.\n", + "See DiscreteSpectrumExample.m: used 5000*.1 = 500 for testing, not 5000\n" + ] + } + ], + "source": [ + "## We decided to report this example in the paper, so now we can calcuate test errror\n", + "#loss1_test, loss2_test, loss3_test, loss_Linf_test, loss_test, regularized_loss_test = n.loss_test(params, max_shifts_to_stack, W, b)\n", + "#print(\"Note: accidentally reported in paper that we used more data than we did.\")\n", + "#print(\"See DiscreteSpectrumExample.m: used 5000*.1 = 500 for testing, not 5000\")" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reconstruction loss (on test set): 9.2567E-09\n", + "Prediction loss (on test set): 4.6744E-08\n", + "Linearity loss (on test set): 9.5893E-08\n", + "L_inf loss (on test set): 3.4969E-10\n", + "Pre-regularization loss (on test set): 1.5224E-07 (goes in Table 1)\n", + "Total regularized loss (on test set): 1.5224E-07\n" + ] + } + ], + "source": [ + "#print('Reconstruction loss (on test set): %.4E' % loss1_test)\n", + "#print('Prediction loss (on test set): %.4E' % loss2_test)\n", + "#print('Linearity loss (on test set): %.4E' % loss3_test)\n", + "#print('L_inf loss (on test set): %.4E' % loss_Linf_test)\n", + "#print('Pre-regularization loss (on test set): %.4E (goes in Table 1)' % loss_test)\n", + "#print('Total regularized loss (on test set): %.4E' % regularized_loss_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Could be that error would be higher on larger test set, so try larger one.\n", + "Check test error on larger test set:\n", + "test file has 5000 trajectories\n", + "Reconstruction loss (on larger test set): 1.0481E-08\n", + "Prediction loss (on larger test set): 4.5944E-08\n", + "Linearity loss (on larger test set): 9.2697E-08\n", + "L_inf loss (on larger test set): 1.0260E-09\n", + "Pre-regularization loss (on larger test set): 1.5015E-07 (compare to numbers in Table 1)\n", + "Total regularized loss (on larger test set): 1.5015E-07\n" + ] + } + ], + "source": [ + "#print(\"Could be that error would be higher on larger test set, so try larger one.\")\n", + "#print(\"Check test error on larger test set:\")\n", + "#loss1_testextra, loss2_testextra, loss3_testextra, loss_Linf_testextra, loss_testextra, regularized_loss_testextra = n.loss_test(params, max_shifts_to_stack, W, b, suffix='testextra')\n", + "#print('Reconstruction loss (on larger test set): %.4E' % loss1_testextra)\n", + "#print('Prediction loss (on larger test set): %.4E' % loss2_testextra)\n", + "#print('Linearity loss (on larger test set): %.4E' % loss3_testextra)\n", + "#print('L_inf loss (on larger test set): %.4E' % loss_Linf_testextra)\n", + "#print('Pre-regularization loss (on larger test set): %.4E (compare to numbers in Table 1)' % loss_testextra)\n", + "#print('Total regularized loss (on larger test set): %.4E' % regularized_loss_testextra)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Good news: error even lower on larger test set!\n" + ] + } + ], + "source": [ + "#print(\"Good news: error even lower on larger test set!\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "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": "3.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/postprocessing/DiscreteSpectrumExampleTrajs.csv b/postprocessing/DiscreteSpectrumExampleTrajs.csv new file mode 100644 index 0000000..3f8a5a5 --- /dev/null +++ b/postprocessing/DiscreteSpectrumExampleTrajs.csv @@ -0,0 +1,20 @@ 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