{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 3 Extra: Deep Gaussian Processes\n", "### Gaussian Process Summer School 2020\n", "In this extra lab, we introduce practical use of _deep Gaussian processes_, expanding on the talk given this morning.\n", "\n", "The level of this notebook is aimed as an introduction to deep GPs, but will assume some familiarity of topics from labs 1 and 2, including regression and using inducing variables for scalable inference.\n", "\n", "This notebook makes use of [`PyDeepGP`](https://github.com/SheffieldML/PyDeepGP)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Getting started\n", "\n", "Make sure that you have the appropriate packages installed, including `PyDeepGP`: you can review the [Getting Started](https://gpss.cc/gpss19/getting_started/) page for detailed instructions.\n", "\n", "First, we will setup the notebook with libraries we are going to use. As in previous labs, we will use `GPy`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Support for maths\n", "import numpy as np\n", "# Plotting tools\n", "from matplotlib import pyplot as plt\n", "# we use the following for plotting figures in jupyter\n", "%matplotlib inline\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "# GPy: Gaussian processes library\n", "import GPy\n", "\n", "# PyDeepGP: Deep Gaussian processes\n", "import deepgp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Recap: Gaussian Process Regression\n", "\n", "Recall, from Lab 2, the data for the winners of the Olympic men's marathon. We will use this again to highlight limitations with standard GPs and demonstrate how we can make use of deep GPs for such a problem." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pickle\n", "with open(\"../.resources/olympic_marathon_men\", \"rb\") as fid:\n", " data = pickle.load(fid)\n", "\n", "X, y = data['X'], data['Y'] # X represents the year, and y are the average pace of the winner" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set up our plotting environment\n", "plt.figure(figsize=(14, 6))\n", "\n", "# Plot the training data, the results of the gold medal winning time for the Olympic men's marathon\n", "plt.plot(X, y, \"kx\", mew=2)\n", "\n", "# Annotate plot\n", "plt.legend(labels=[\"winning time\"]), plt.xlim((1890, 2018))\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Olympic men's marathon gold medal winning times from 1896 to 2012\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By now, you should be familiar with fitting a GP using `GPy`. We will fit a standard `RBF` kernel. Note that we are using a Gaussian likelihood, and have a constant mean for our GP (to be optimised)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 4.785438859622706
\n", "Number of Parameters: 4
\n", "Number of Optimization Parameters: 4
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
constmap.C 3.5882415421063447
rbf.variance 0.2796060152640827 +ve
rbf.lengthscale 20.79707416238612 +ve
Gaussian_noise.variance0.04190680752643053 +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_full = GPy.models.GPRegression(\n", " X, y,\n", " mean_function=GPy.mappings.Constant(1,1),\n", " kernel=GPy.kern.RBF(1)\n", ")\n", "\n", "m_full.optimize(messages=False)\n", "display(m_full)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is utility code from previous labs, adapted slightly so that it will work with deep GPs as well" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_gp(model, X, training_points=False):\n", " \"\"\" Plotting utility to plot a GP fit with 95% confidence interval \"\"\"\n", " # Plot 95% confidence interval \n", " m, _ = model.predict(X)\n", " lci, uci = model.predict_quantiles(\n", " X,\n", " (2.5, 97.5)\n", " )\n", " plt.fill_between(X[:,0], lci[:,0], uci[:,0], alpha=0.5)\n", " \n", " # Plot GP mean and initial training points\n", " plt.plot(X, m, \"-\")\n", " plt.legend(labels=[\"GP fit\"])\n", " \n", " plt.xlabel(\"x\"), plt.ylabel(\"f\")\n", " \n", " # Plot training points if included\n", " if training_points:\n", " X_, Y_ = model.X, model.Y\n", " plt.plot(X_, Y_, \"kx\", mew=2)\n", " plt.legend(labels=[\"GP fit\", \"sample points\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that plotting the GP, we struggle to handle the outlier, giving an suboptimial fit." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.arange(1890,2019)[:, None] # predict winning pace every year between 1890 and 2018\n", "\n", "plt.figure(figsize=(14,6))\n", "# Plot the GP prediction of the latent function with training points\n", "plot_gp(m_full, Xnew, training_points=True)\n", "# Annotate plot\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Exact GP fit of latent function $f$ describing marathon pace in min/km, assuming a Gaussian likelihood\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Deep GP Regression\n", "\n", "As we have seen before, the GP struggles to fit to the observations due to the presence of the outlier in 1904. Previously, in Lab 2, we modelled this with a non-Gaussian likelihood to give a heavy-tailed output using a Student's T-distribution. An alternative way to deal with the non-Gaussian is to construct a hierarchical model: a deep GP with two layers.\n", "\n", "$$\n", " y = f_1(f_2(x)),\\quad \\mathrm{where}\\ f_1\\sim \\mathcal{GP}\\ \\mathrm{and}\\ f_2 \\sim \\mathcal{GP}\n", "$$\n", "\n", "We are essentially constructing the function, \n", "$$f : \\mathbf{x} \\underset{f_2}{\\mapsto} \\mathbf{z} \\underset{f_1}{\\mapsto}y,$$\n", "where $\\mathbf{z}$ is a latent variable in the hierarchical model. We can refer to $\\mathbf{z}$ as a 'layer' in a deep model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will no construct our deep GP using `pyDeepGP`. We have one hidden variable (or layer), and will initialise our latent representations with principle component analysis (PCA).\n", "\n", "For simplicity, we use the Gaussian RBF kernel for each layer, and have 1-D latent variables." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "num_hidden = 1\n", "latent_dim = 1\n", "\n", "kernels = [*[GPy.kern.RBF(latent_dim, ARD=True)]*num_hidden] # hidden kernels\n", "kernels.append(GPy.kern.RBF(X.shape[1])) # we append a kernel for the input layer\n", "\n", "m_deep = deepgp.DeepGP(\n", " # this describes the shapes of the inputs and outputs of our latent GPs\n", " [y.shape[1], *[latent_dim]*num_hidden, X.shape[1]],\n", " X = X, # training input\n", " Y = y, # training outout\n", " inits = [*['PCA']*num_hidden, 'PCA'], # initialise layers\n", " kernels = kernels,\n", " num_inducing = 50,\n", " back_constraint = False\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: deepgp
\n", "Objective: 100.25867104021862
\n", "Number of Parameters: 260
\n", "Number of Optimization Parameters: 260
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
deepgp. valueconstraintspriors
obslayer.inducing inputs (50, 1)
obslayer.rbf.variance 1.0 +ve
obslayer.rbf.lengthscale 1.0 +ve
obslayer.Gaussian_noise.variance 1.0 +ve
obslayer.Kuu_var (50,) +ve
obslayer.latent space.mean (27, 1)
obslayer.latent space.variance (27, 1) +ve
layer_1.inducing inputs (50, 1)
layer_1.rbf.variance 1.0 +ve
layer_1.rbf.lengthscale 1.0 +ve
layer_1.Gaussian_noise.variance 0.01 +ve
layer_1.Kuu_var (50,) +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_deep.initialize_parameter()\n", "display(m_deep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optimising a Deep GP\n", "\n", "Reflecting on the defined model, we can see that we have $260$ parameters to optimise, including kernel and likelihood hyperparameters and inducing inputs and variables for each layer, as well as the latent parameters.\n", "\n", "You may find that running the optimisation as is will cause a collapse of the Gaussian noise in each layer, causing failure of the optimiser. In the next cell, we construct a utility function to reset the variance to $1.0$ to try and avoid this:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def optimise_dgp(model, messages=True):\n", " ''' Utility function for optimising deep GP by first\n", " reinitiailising the Gaussian noise at each layer\n", " (for reasons pertaining to stability)\n", " '''\n", " model.initialize_parameter()\n", " for layer in model.layers:\n", " layer.likelihood.variance.constrain_positive(warning=False)\n", " layer.likelihood.variance = 1. # small variance may cause collapse\n", " model.optimize(messages=messages, max_iters=10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's try optimising the deep GP. You may find that the optimisation fails with status `Errorb'ABNORMAL_TERMINATION_IN_LNSRCH`: just try rerunning the cell." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "534d737484434cf9832716681bb3116d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimise_dgp(m_deep, messages=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot our deep GP in the same fit as before, by calling `predict()` and `predict_quantiles()` to obtain a moments and quantiles from the optimised deep GP in the observation domain:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.arange(1890,2019)[:, None] # predict winning pace every year between 1890 and 2018\n", "\n", "plt.figure(figsize=(14,6))\n", "\n", "# Plot the our deep GP prediction\n", "plot_gp(m_deep, Xnew, training_points=True)\n", "\n", "# Annotate plot\n", "plt.xlabel(\"year\"), plt.ylabel(\"pace (minutes per kilometer)\")\n", "plt.title(\"Deep GP with %d hidden layer(s) fit describing marathon pace in min/km\" % num_hidden);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualising Mappings\n", "\n", "As we can see, the deep GP performs much better than the standard GP fit. We may also find it interesting to look at both the individual functions mapping between layers.\n", "\n", "We can visualise the latent mappings by propagating the input through layers -- since each output is multivariate Gaussian by virtue of the mappings being GPs, we can plot the uncertainty of the latent functions at each layer." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def plot_dgp_layers(model, X, training_points=True, axsize=(14,6)):\n", " ''' Plot mappings between layers in a deep GP '''\n", " if not isinstance(model, deepgp.DeepGP):\n", " return plot_gp(model, X) # catch a batch GP\n", "\n", " num_layers = len(model.layers) # Get number of layers\n", " layer_input = X # The first input\n", " \n", " _, axs = plt.subplots(num_layers, 1, figsize=(axsize[0], axsize[1]*num_layers))\n", " \n", " # The layers in a deep GP are ordered from observation to input,\n", " # ... we will plot them from input to output, so reverse the layers\n", " layers = list(reversed(model.layers))\n", " for i, layer in enumerate(layers):\n", " # We get the mean and confidence intervals of the layer\n", " mu_i, _ = layer.predict(layer_input, include_likelihood=False)\n", " lci_i, uci_i = layer.predict_quantiles(layer_input, (2.5, 97.5))\n", " # Plot mean and 95% CI of latent function\n", " axs[i].plot(layer_input, mu_i)\n", " axs[i].fill_between(layer_input[:,0], lci_i[:,0], uci_i[:,0], alpha=0.5)\n", " # Annotate plot\n", " axs[i].set_ylabel(layer.name)\n", " axs[i].set_xlabel(layers[i-1].name if i > 0 else \"input\")\n", " axs[i].set_title(\"$f_%d$\" % (num_layers-i))\n", " # Set mean as input for next layer\n", " layer_input = np.linspace(*min(lci_i), *max(uci_i), num=100)[:,None]\n", " \n", " if training_points: # Plot propagated training points\n", " axs[i].plot(\n", " layer.X.mean.values if i > 0 else layer.X,\n", " layer.Y.mean.values if i < num_layers-1 else layer.Y,\n", " 'kx', mew=2\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now plot our two GPs that form the hierarchical (deep) GP. The first maps the input domain to the first latent space, and the second maps from that latent space into space of our observation model.\n", "\n", "$$y = f_1(f_2(x))$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_dgp_layers(m_deep, Xnew, training_points=True, axsize=(14, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sampling\n", "\n", "As with all models, we might want to sample from the posterior. We can do this with the mean and covariance of our GP layers, and use these to create random samples -- by the nature of the model, each sample from the first layer forms the input to the second. You can see the code to perform this below:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def sample_dgp(model, X, num_samples=1, include_likelihood=True):\n", " ''' Sample from a hierarchical GP by propagating\n", " samples through layers\n", " '''\n", " samples = []\n", " jitter = 1e-5\n", " count, num_tries = 0, 100\n", " while len(samples) < num_samples:\n", " next_input = X\n", " if count > num_tries:\n", " print(\"failed to sample\")\n", " break\n", " try:\n", " count = count + 1\n", " for layer in reversed(model.layers):\n", " mu_k, sig_k = layer.predict(\n", " next_input, full_cov=True, include_likelihood=include_likelihood\n", " )\n", " sample_k = mu_k + np.linalg.cholesky(sig_k + jitter*np.eye(X.shape[0]))@np.random.randn(*X.shape)\n", " next_input = sample_k\n", " samples.append(sample_k)\n", " count = 0\n", " except:\n", " pass\n", " \n", " return samples if num_samples > 1 else samples[0]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0AAAALJCAYAAACdq0PmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeXRb93kn/O8DYiEAEsRCUoQkSmJI0JGiyLZER94SxfXW2FlO03jqvurkbdI0yzhpmvRt2s7MybRJ5237ttNp2thJkybpNFGSWl2yOY1iOTaTqWPGoldZnpCiRYmUSJPEwgU7yN/7BxYBxL3kBQlw/X7O4aF4cXHxwwXP0e/h8/s9jyilQEREREREtB2Y1nsAREREREREa4UBEBERERERbRsMgIiIiIiIaNtgAERERERERNsGAyAiIiIiIto2GAAREREREdG2wQCIiGibEZG/F5E/Xu9xLGW5MYqIEpGutRxTtYjIvtz4zes9FiKi7YgBEBERERERbRsMgIiIqOqY3SAioo2KARAR0RYkIvtF5AkRiYjISyLy9kWnNIvIoyIyKyK9IrI39zwRkf8pIhMiMi0iL4jIwdxjNhH5CxG5JCKvisjnRcSee+zNIjIqIr8nIuMAviIiL4vIW4vGZBaRKRE5nPv5pIiM517nxyLyOiNj1HivuuPSOLcrd63p3Fj+seixz4jIiIjMiEi/iLyx6LE/zI33a7nxvCgi3SLyB7l7NSIidxWd/4SI/ImI/Cz3Wt8WEa/OmJpE5EsiMiYil0Xkj0WkbrnxEhHRyjAAIiLaYkTEAuC7AH4IoBXARwCcEJFrik47DuDTAJoBPAfgRO74XQDeBKAbgBvArwAI5h77s9zx6wB0AdgF4JNF12wD4AWwF8D7AXwDwK8WPX43gCml1DO5n/8NQCA3xmeKxrDcGBdbblzFPo3sffEA2A3gb4oeezp3DS+ArwM4KSL1RY+/DcBXc899FsApZP8f3QXgUwD+dtFrvRvAewHsBJAB8Nc6Y/pfuce7AFyP7GfwPgPjJSKiFRCl1HqPgYiIqiiXuTgJYKdSaiF37BsAfq6U+kMR+XsA9Uqp+3OPNQCYBrAP2YDk88hO3n9W9HwBMAfgkFJqKHfsJgBfV0p1iMibkZ2ou5RSidzjXcgGCjuUUjEROZEbw6c0xuwGEAbgVkpNLzVGpdSIiKjcWIeWGpfG6/wDgASATymlRpe5j2EAb1ZKPS8ifwjgFqXUnbnH3oZsgNeklJoXkUYAMwA8SqmIiDwB4Cml1O/nzj+AbBBnB9AO4AIACwAfgEu59x3PnfurAN6vlLqtkvESEZExzAAREW09OwGM5IOXnIvIZiryRvL/UErNAQghGzD9CMBnATwI4FUR+YKIuAC0AHAA6M8tq4sA+EHueN5kPvjJXfc8gJcBvE1EHADejmxmBSJSJyJ/KiJDIjIDYDj3tOblxrjovRoZV7FPABAAP8stDXxv/gER+Z3csr3p3HWaFo3n1aJ/x5HNZs0X/QwADVrjR/b+WxZdD8hmyywAxorG/7fIZsWWHC8REa0MN6kSEW09VwC0i4ipKAjaA2Cg6Jz2/D9y2RVv7nlQSv01gL8WkVYADwP4XQD/DdlJ/uuUUpd1XldrSUF+GZwJwLlcUAQA/xeAdwC4A9ngpwnZDJAYGWORKQPjujpApcYB/GbumrcCOC0iPwbgB/B7AG4H8JJSaiGXARLdiy2vvejfewCkc+MtPj4CIAmgWSmVMTreovtIREQVYgaIiGjr6QMQBfAJEbHklqe9DcA3i865R0RuFRErsvtM+nJLy24QkaO5fURRZJdfzecCqS8C+J+5wAgisktE7l5mLN9Edk/Lh5DL/uQ0IjvxDyKbwfl/NZ6rOcbiEyodl4jcJyK7cz+GkQ3a5nPjyQCYBGAWkU8CcC3z3pbzayJyIJf9+hSAfyrKGOXHP4bs0sH/ISIuETGJSKeIHFtmvEREtEIMgIiIthilVArZ5WZvQTbj8BCAdyul/k/RaV9HNqsTAnAE2YIDQHbS/0VkJ9sXkQ1Q/iL32O8BOA/gqdyytdMAigsraI1lDMBPAdwMoLiC2T/krn8ZwDkAT2k8XW+Mi1UyrhsA9InIHIDvAPioUuoCsgUN/g3ZLNlFZAO/EZ1rGPVVAH8PYBxAPYDf0jnv3QCsyN6HMIB/QjYjtdR4iYhohVgEgYiIqMpyRRC+ppT6u/UeCxERlWIGiIiIiIiItg0GQEREREREtG3UdAlcrq/D3wE4iOzGzfcqpX5a9LgA+AyAewDEAPx6UYM8IiIiIiKiqqp1GezPAPiBUupduSo+jkWPvwXZRnYBAEcBfC73nYiIiIiIqOpqFgDlGue9CcCvA4WqRKlFp70DwD+obBrqKRFxi4g/VzVIU3Nzs9q3b19tBk1ERERERJtef3//lFJKsyl2LTNAr0G2n8JXRORaAP3Ilu+MFp2zC6VlRkdzx0oCIBF5P4D3A8CePXtw5syZGg6biIiIiIg2MxG5qPdYLYsgmAEcBvA5pdT1yDbU+/3FY9N4XtmmJKXUF5RSPUqpnpYWzUCOiIiIiIhoWbUMgEYBjCql+nI//xOyAdHic9qLft4N4EoNx0RERERERNtYzQIgpdQ4gBERyXfjvh3ZLtfFvgPg3ZJ1I4Dppfb/EBERERERrUatq8B9BMCJXAW4VwC8R0Q+CABKqc8D+D6yJbDPI1sG+z01Hg8REREREW1jNQ2AlFLPAehZdPjzRY8rAA/UcgxERERERER5tdwDREREREREtKEwACIiIiIiom2DARAREREREW0bDICIiIiIiGjbqHUVuG0lFA9hMDiISCICd70bAV8AXrt3vYdFREREREQ5zABVSSgeQt9oH5KZJHx2H5KZJPpG+xCKh9Z7aERERERElMMAqEoGg4NwWpxwWp0QETitTjgtTgwGB9d7aERERERElMMAqEoiiQgcFkfJMYfFgUgisk4jIiIiIiKixRgAVYm73o1YOlZyLJaOwV3vXqcRERERERHRYgyAqiTgCyCajiKaikIphWgqimg6ioAvsN5DIyIiIiKiHAZAVeK1e3F091HYzDYE40HYzDYc3X2UVeCIiIiIiDYQlsGuonwQREREREREGxMzQEREREREtG0wACIiIiIiom2DARAREREREW0bDICIiIiIiGjbYABERERERETbBgMgIiIiIiLaNhgAERERERHRtsEAiIiIiIiItg0GQEREREREtG0wACIiIiIiom2DARAREREREW0bDICIiIiIiGjbYABERERERETbBgMgIiIiIiLaNhgAERERERHRtsEAiIiIiIiItg0GQEREREREtG0wACIiIiIiom2DARAREREREW0b5vUewFYSiocwGBxEJBGBu96NgC8Ar9273sMiIiIiIqIcZoCqJBQPoW+0D8lMEj67D8lMEn2jfQjFQ+s9NCIiIiIiymEAVCWDwUE4LU44rU6ICJxWJ5wWJwaDg+s9NCIiIiIiymEAVCWRRAQOi6PkmMPiQCQRWacRERERERHRYtwDVCXuejdi6RicVmfhWCwdg7veveZj4V4kIiIiIiJtNc0AiciwiLwoIs+JyBmNx98sItO5x58TkU/Wcjy1FPAFEE1HEU1FoZRCNBVFNB1FwBdY03FwLxIRERERkb61yADdppSaWuLxnyil3roG46gpr92Lo7uPYjA4iGA8CHe9Gwd3HFzzzEvxXiQAhe+DwUEc3X10TcdCRERERLTRcAlcFeWDoPUUSUTgs/tKjjksDgTjwXUaERERERHRxlHrIggKwA9FpF9E3q9zzk0i8ryI/JuIvE7rBBF5v4icEZEzk5OTtRvtFpDfi1RsvfYiERERERFtNLUOgG5RSh0G8BYAD4jImxY9/gyAvUqpawH8DYBvaV1EKfUFpVSPUqqnpaWltiPe5DbKXiQiIiIioo2opgGQUupK7vsEgH8F8IZFj88opeZy//4+AIuINNdyTFtdfhmezWxDMB6EzWzD0d1HWQWOiIiIiAg13AMkIk4AJqXUbO7fdwH41KJz2gC8qpRSIvIGZAOybbFZpZalqjfCXiQiIiIioo2olhmgHQD+t4g8D+BnAB5RSv1ARD4oIh/MnfMuAGdz5/w1gPuVUqqGY9oQWKqaiIiIiGh9yGaLN3p6etSZM2UthTaVfPBT3DQ1mooWlqsREREREdHKiUi/UqpH67FaF0EgDZFEBA6Lo+SYw+JAJBFZpxEREREREW0PDIDWAUtVExERERGtDwZA64ClqomIiIiI1gcDoHXAUtVEREREROujZmWwaWksVU1EREREtPaYASIiIiIiom2DGSBad7VsCktEREREVIwZIFpXbApLRERERGuJARCtq8HgIJwWJ5xWJ0QETqsTTosTg8HB9R4aEREREW1BDIBoXbEpLBERERGtJQZAtK7YFJaIiIiI1hKLIKwQN+5XR8AXQN9oH4Bs5ieWjiGajuLgjoPrPDIiIiIi2oqYAVoBbtyvHjaFJSIiIqK1xAzQChRv3AdQ+D4YHGRz0xVgU1giIiIiWivMAK0AN+4TEREREW1ODIBWYK037ueX3J06f2rTLrV78MEHMTExUfh5YmICDz744DqOiIiIiIi2IwZAKxDwBRBNRxFNRaGUQjQVRTQdRcAXqPprbYX9Rg8++CA+/OEP47bbbsPExAQmJiZw22234cMf/jCDICIiIiJaU9wDtAJeuxetzlb8y8v/gsszl7HLtQvv3P9OAEDfaF9VK8Nthf1G9913Hx566CGcO3cOBw9mq7tNTk7iwIEDuO+++9Z5dERERES0nTAAWoGh0BAeGXgEbQ1tuMZ3DaaT0zj50kkEfAEEvAH47D7E0jH0jfbpVjQzWkY7kojAZ/eVHHNYHAjGgzV7f9XW2tqKxx9/HAcPHsTk5CQAoKWlBY8//jhaW1vXeXREREREtJ1wCdwK9A73wmP3wFPvgUlM8NR7kJpPYWBqAE6rEyICp9UJp8WJweBg2fMrWdbGRqFERERERNXDAGgFxubG0GRrKjlmEhNmUjMlx/QqwxUva1suWFrL/Ua1kt/zMzk5iZaWFrS0tGBycrKwJ4iIiIiIaK0wAFoBf4Mf08npkmMLagEuq6vkmF6mppIy2l67F92+bpwPncepoVM4HzqPbl/3knuLNlrVuJMnT+LcuXM4cOAAzp49i7Nnz+LAgQM4d+4cTp48ua5jIyIiIqLthXuAVuDYvmM48cIJAECTrQnTyWlY66zZbE0qCofFgVg6hmg6ioM7DpY9P7+sLV/QANAPlkLxEAaCA+jyduHQjkOIpWMYCA7AY/fo7i3qG+2D0+I0tBdpLTzwwAMAssUQ8nt+Hn/8cZw8ebLwGBERERHRWhCl1HqPoSI9PT3qzJkz6z0MDIWG0Dvci7G5Mfgb/Di27xg8do+hwgbFQUpxsKQVpOT3ChUHS9FUFDazTbMKXKXnExERERFtNSLSr5Tq0XqMGaAV6vR2otPbWXbcSJDhtXtxdPdRDAYHEYwH4a534+COg1WpArcVqsYREREREdUKA6B1kg+CllPJcrmVnE9EREREtJ0sGQCJSD2AtwJ4I4CdAOIAzgJ4RCn1Uu2HRwFfAH2jfQCw7N6ipc7f5dpV9SatRERERESbjW4VOBH5QwBPArgZQB+AvwXwMIAMgD8VkUdF5NBaDHI7y2eKbGYbgvFgYS+PXvCidX63rxsDwQFDfYeIiIiIiLYy3SIIInKvUuoR3SeKtALYo5Ra04oEG6UIwmbCwghEREREtJ0sVQRBNwOklHpEROpE5M91Hp9Y6+CHVqaSvkNERERERFvZko1QlVLzAI6IiKzReKgG8oURirEwAhERERFtR0aqwD0L4NsichJANH9QKfUvNRsVVVWlhRSIiIiIiLYqIwGQF0AQwC8UHVMAGABtEpX0HSIiIiIi2sqWDYCUUu9Zi4FsNqF4CIPBwTUpK12N1zLad4iIiIiIaCtbcg8QAIhIt4g8JiJncz8fEpH/WvuhbVyheKhQWa3WZaXX8rU2g/z9OHX+1La+D0RERES0MkaWwH0RwO8i2wcISqkXROTrAP64lgPbyAaDg3BanIWy0vnvg8FBzSzLajI4g8FBzKt5XIhcwGxyFo22RvgcPt3X0qM3hrXMZK1WPvhxWpzw2X2IpWPoG+1bsi8SEREREVGxZTNAABxKqZ8tOpYxcnERGRaRF0XkOREpK5ktWX8tIudF5AUROWzkuuutkrLSq83gXJq+hKHQEFLzKTTVNyE1n8JQaAiXpi8ZHq/eGIZCQ5squ1QceIoInFYnnBYnBoOD6z00IiIiItokjGSApkSkE9nCBxCRdwEYq+A1blNKTek89hYAgdzXUQCfy33f0PJlpYsbi+qVla40W7TYbHIWJjHBbrYDAOxmOxKZBGaTs4bHqzeG3uFedHm7yo6fuXIGTbamDZcViiQi8Nl9JcccFgeC8eCajmMzZc2IiIiIqJSRDNADyC5/e62IXAbw2wA+WKXXfweAf1BZTwFwi4i/SteumYAvgGg6imgqCqUUoqkooukoAr5A2bmrbULqsrmwoBYQT8ehlEI8HceCWoDL5jI8Xr0xjM2NlR1Pz6c3bFZoI/Qz4p4sIiIios3NSACklFJ3AGgB8Fql1K0Gnwdks0Y/FJF+EXm/xuO7AIwU/TyaO1ZCRN4vImdE5Mzk5KTBl64dr92Lbl83zofO49TQKZwPnUe3r1szC7DaSXt7Uzs6PZ2wmq2YTk7Darai09OJ9qZ2w+PVG4O/wV92fDA0iBZHy4ZcZlZJ4FkrXIZHREREtLkZCWT+GQCUUlGlVH7d1T8ZvP4tSqnDyC51e0BE3rTocdF4jio7oNQXlFI9SqmelpYWgy9dO6F4CAPBAXR5u3B3593o8nZhIDigmQVY7aQ94AugzlSHDncHbtx9IzrcHagz1VU06dcbw7F9x8qOT8Wmyq5dScaqlvKlvG1mG4LxIGxmW9UKIBitLrfajB4RERERrS/dPUAi8loArwPQJCLvLHrIBaDeyMWVUldy3ydE5F8BvAHAj4tOGQVQnMrYDeCKsaGvn0r29ay2CWk1mpgudQ2P3VNy/Ojuo7CYLCXPX+tlZkupRT+jSqrLVbL/i4iIiIg2nqWKIFwD4K0A3ADeVnR8FsBvLndhEXECMCmlZnP/vgvApxad9h0AHxaRbyJb/GBaKVVJgYV1Uelm/NVO2vWeX8lmfL1rLD6eDwaA7HuKpWOIpqM4uOPgise/0VUS0AZ8gW13f4iIiIi2Et0ASCn1bQDfFpGblFI/XcG1dwD4VxHJv87XlVI/EJEP5q7/eQDfB3APgPMAYgDes4LXWXOVZgFqUTWsVj1x8vubeod7MTY3Bn+DH8f2Hdt0PYMqUUlAW42MHBERERGtH1GqbMtN6Qki3ciWp96hlDooIocAvF0ptS6NUHt6etSZM2UthdZUcfBRnAXQCj4qObcS+UpkxUFYNBUt7Iup9nvr9nVjIDhQ9fexEdTqXhIRERHR+hCRfqVUj9ZjRoogfBHAHwBIA4BS6gUA91dveJtPJZvxa1U1rFab8fXG2zvcu2Wrn22E6nJEREREtDaMNEJ1KKV+llvKlpep0Xg2DaP7eiKJCGLpGE6/chpTsSk0O5pxvf/6suClUrXajK+3HGxsbgyHdhwqO77WTUhrgcvaiIiIiLYPIxmgKRHpRK48tYi8C8CGL1SwUcyl5vDdn38X8XQcOxp2IJ6O47s//y7mUnOrum6tshaV9AzaStXP8kHQ3V13b4llfURERESkzUgG6AEAXwDwWhG5DOACgF+r6ai2kMszl2Gts8JmtkEgsJltsNZZcXnm8qquu1TWYjXFCgK+AE4PnUYoHkJ6IQ2LyQKv3Ytj+45hIDgAgNXPtmoxCCIiIqLtYNkASCn1CoA7ista135YW8dsahaHWg9hMj6JudQcnFYnDrUewuW5y+gb7VvVJFprGV41qsOpfC9adfVnj93DZWKoXfU9IiIiIlobywZAIuIG8G4A+wCY83uBlFK/VdORbRH+Bj+i6Sg6PZ2FY6Mzo4imokhmklWfRFfS00bv+f4GP7q8XYVj0VS08PztXhVttfc3j1kkIiIiovVhZA/Q95ENfl4E0F/0RQYc23cM4XgY4UQYC2oB4UQYr4RfwY27b6xJRbXVVoerVnW5fKbk1PlT6BvtQygequj5G1U17k/+3uQD4GQmuaXuEREREdFGZmQPUL1S6uM1H8kmo/UXfABlxzq9nTh+6Dh6h3sxMjMCf4MfN7XfVJJhAapXUU2vOpxJTIaW3FWjutxWXiZWjftTrSwSEREREVXOSAD0VRH5TQDfA5DMH1RKbds/V2tN8E8PnYaCgr/BXzbp7/R2otN7dQlc32hfTUpYA9kiBn2jfQCuFisYmxvDXGoO6fk00vNpWOosGI4M487OO8sCEq3nV1rsYKNM8GuxzKwa90ev1PhWKClOREREtNEZWQKXAvDnAH6Kq8vfztRyUBudVrPQUDyE0ZlRXIhcwFOjT+FC5ALm1bzmsrZaNt7UatJqNpkRjAdRZ6qD2+5GnakOF6cvov9K+UrGSpq86qlVk9ZK1GqZWTXuj16p8a1SUpyIiIhoIzOSAfo4gC6l1FStB7NZaP0FP5KIYDgyDJfNhab6JiQyCQyFhhBPx8uyHrVuvLm4OtxTTz0Ft80Nu9kOALCb7VA2hXOT53Bn553LPr9StWrSWolKs1CVZItWe3+qkUUiIiIiopUxEgC9BCC27FnbiNYEPxwPw2FxlAQZiUwCs0ntquGrnURvZHoT/F2uXasu/W1UJcvM1nrPUq0DYCIiIiLSZyQAmgfwnIg8jtI9QNu2DLbWBN9kMqGlvgXxdBz15nokMgksqAW4bK51Hi2wv2U/nht7DgIpjC2SiOA6/3U1eT2tCf4u1y4MBAfWLMioJAu1HnuWtnIATERERLSRGQmAvpX7ohytCf5tHbchlUkhGA9iOjmNRlsj/I1+tDhbatbzZSg0hN7hXozNjcHf4MexfcfQ6e0se71OTyci8QhC8RAiyQgsJgv2ufehZ2dPFe6GMa+EX1nTIKOSZWYsSkBERES0fYhSavmTRKwAunM//lwpla7pqJbQ09OjzpzZeDUYipdRFU+4u33dhcxH8fHVZj6GQkM48cIJeOweNNmaMJ2cRjgexr3d92IiOqE5jqnY1JosP9O6Fz+++GPc1H5TSQZGKYVgPIgbdt1QkwDRaOCZL5ZQnC2KpqKFAgdEREREtLmISL9SSvOv/csGQCLyZgD/C8AwAAHQDuD/Vkr9uLrDNGajBkCA9oR7MDhYk8n1l5/5MqLpKDz1nsKxcCKM8blx3N15d9nrJeeTcNlcaxJkaL3npy8/DQC4YdcNJeNKzCcwvzBf9QCx0vegFbxuhb5FRERERNvRUgGQkSVw/wPAXUqpn+cu1g3gGwCOVG+IW4PWvg695VXDkeHC4ysJSMbmxtDuai851mRrQv+V/rIS1OmFNPpG+/CmvW8q238DlDdvNTqOUDyER4ceRTgeLukvVCd12OfeV3JuwBvAYxcey44nd67H7oHX7l33nkEbvSiB3lLHjaBWyzuJiIiIasVIAGTJBz8AoJQaEBFLDce0aWlNBrU244/PjePnwZ9jKja1bGNSPf4GP6aT0yUZoOnkNHa5dpW93mBwEM2O5rIg48yVM4Xsy0oKE/Rf6cfF6Yvw1HvgtDqRyCRwcfoi7HV2tDpbS8YQz8ThsOYCM8l/E0QSEXS4O0quux77bzZqUYLipY7trnZMJ6dx4oUTOH7o+LoHQWtdPY+IiIioGow0Qj0jIl8SkTfnvr6IbDNUKqLXeLPZ0VzW9PS5V59DZj6j2Zg0f51T508t2bjz2L5jCMfDCCfCWFALCCfCCMfDeOf+d5a93mRsEgFvaZNVh8WBlydfLmvo6rQ4NZu3ajk3eQ4WseDyzGW8+OqLuDxzGRaxYCY1UzaGwdAgrmu7DjfsugE3t9+MG3bdgLaGNswmZ9kUdAm9w73w2D3w1HtgEhM89R547B70Dveu99A0GwJX8vtDREREtB6MBEAfQrYX0G8B+CiAcwA+WMtBbQaLA5UzV85oTganYlM4uvsobGYbgvEgbGYbBAJ/ox92sx0Cgd1sh9vmxtOXn9YMorSCoE5vJ44fOg6nxYmRmRE4LU4cP3QcR3YeKXu9o7uPwlJXmrTLBx2Ll8s5LA5EEhFD9yCaiuJC+AIyCxk0WBuQWcjgQvgCBFI2ht2u3WhztpW9lsvmKguWoukoAr6AzqtuL2NzY2iyNZUca7I1YWxubJ1GdFUkEVnV7w8RERHRelh2CZxSKgngL3NfBP2lPzfvvrnkPL2lXAJBNBXFldkriKVjcFgcaLI1YTI2WdF+mE5vp+YyqMXLufLjzY8pv8n/QMsBw71y8tcpXuInIkgtpErOSS2k0GBt0FxSpvVa7U3thcIJG3H/zXrTW+rob/Cv46iyKum1RERERLRR6AZAIvIiAN0ScUqpQzUZ0Sag1TizxdGCwdBgSZWzWDoGESkLlubSc3hp4iXsbNyJBmsD5lJzuDR9CTsbd2r+RX21BRP0NvkDKCti4LF7cGfnnWXX0Ar6ZpOzaHY0Y17NYzY1C7PJjL1Ne+FvLJ+cL9WXZ6Puv6lULQoCHNt3DCdeOAEAJeXO7wncU40hr0olvZaIiIiINoqlMkBvXbNRbDJald0CvgB+OvJTRFPRksmg2WQuC5Z8dh9ejb4Kc50Zc+k5mOuygYPH7tEsmDAyM4JWZ+uqNpprBRmheAhytSJB7ptoPl8r6NvTtAfRdBTNjmbMJmfRaGuEz+FDi6NF9/W3aqanVgUB8ksde4d7MTIzAn+DH/cE7ln3AgjA1v9MiYiIaGsy1Ah1I9kIfYD0Gmdq9dp5+vLTMIsZo7OjhSBhbGYMEMDf6C8c2+3ajVA8hAZrQ0k/mv6xfgR8gZIlT9Vq0llJA9BT50/BZ/dB5GqAFIlH8OTokzi291jV++fUsrxyLa7NZqpEREREG8eK+gCJyP9WSt0qIrMoXQonAJRSylXlcW4aekt/tCb+IoL+sX546j1osjUhkUlgZHYEr/G8Bgdbry4Viqai2NO0B82O5g8DxnwAACAASURBVJKeL+56t2bxgKXKRGtN8IHyfj96PYq0ru2ud2N8bhzBePBqtsfuw/6W/TgfOl/So6YawU+tyivX6tqV3EsiIiIiWj+6AZBS6tbc98a1G87mUMnSH4Eglo4hnAgjM5+Buc6MBksDEplE2XK5Xa5dGAgOoMvbhUM7DhUyQOPR8ZIMUH6juV6gs3iCf3roNBQU/A3+kkl/nanO8Cb2ZkczTp0/BY/dU9iL8vLkywj4Agh4A4XxDgQHCg1OV0pruV3++GqzKbW6NgsCEBEREW0Oy1aBE5HfUEp9adGxP1VK/X7thrXxGd24H0lEYKuzITmfLOyzcde70dbYVigTnQ+gtCbnAW+2QprL6ioLlrQyGXWmurJr5Mtod3m7CscAIDmfRDQdBbD8Jvap2BQO7zyMYCyImeQMXDYXUs4U0vNpzWAiX9ltuSyUVqC0VDZltcvXapWpYUEAIiIios1h2QAIwLtEJKGUOgEAIvIQgPraDmtz0pqczyZn0WBrQHtTe+G8cCIMpVRZABVJRGA2mXF24mzJ3iB3vbtsmdlUbEozk/Hs+LO4pf2WkuumF9Jl9fwcFgfimbjhTFYkEUGbs60kE/XkpSez11503eHIMELxUElw9ujQoxAI2hrall16ppdNMYlp1cvX3PVujEfHEYwFly3cUAkWBCAiIiLaHIwEQO8E8B0RWQDwFgAhpdR/qu2wNh+9vSUiggW1gHg6jnpzPRKZBBbUQqE8dnGwZBLT1f1C9dn9Qj+5+BNY6ix44543liwzm0vNocPdUTKGfAntxcGDxVTaBDV/jrvebTiTpRWULG6umr/uTHIGrc7WkuAsHA8DQKF62VJLz/SyKVrZLb1r6NFayncxchHHDx039PylbJVy3kRERERbmUnvARHxiogXgB3A+wB8AsAMgE/ljlOR4uVrIgKn1QmnxQmlFDo9nbCarZhOTsNqtqLV2YpIIoJkJgmf3YdkJom+0T7MJGeymZqir6nYFOrr6suuO5ucRSwdKxlDLB3DgZYDiKajiKaiUEohmorCa/fCY/eUHIumo4VlaUYEfIGy6+b3+iy+bqOtsayfUXo+rZktiiQiZa+VDyTySwTzldSUUpp9krSuoWcqNoXD/sNw2VyFpXyH/YcxFZsyfA0iIiIi2ryWygD1IzsNl6Lv9+a+FIDX1Hx0m4je3pJGWyPqTHXocHeUlrb2BsoyGQPBARzxH8Ho7Cimk9PZJXCNu2E1W8uu67K5NPfv5DMQxUux7ui8o+xYpcuztJZ45RumLr7uYHDQcLZIr0iAVjalGoUGIokI2hraSpq1KqWqUq2tlqW7iYiIiKg6lqoC16H3GJXTm5zrlrZuKC9tDWQDheLy2PF0vOy1YukY2pvaC4UGtIIaraanRulN5PWWeBlZwpbPQD19+WmkF9KwmCzw2r2F4MzIGKpRaEDvc9JaklhJ8FLL0t1EREREVD1shFolxRPg4sl5t68bA8GB8uam3kBJFiKaiiIxn0AkHkEoHioECZY6CxqtjWhraDPcbHQoNFQScF3bdi0mohNlY9O6ht77qHQivziAaXY048yVMwjHw0jPp2Gps8Bj9+DOzjsrGgNgrJLcUuNafO3xufFCmfCVvmc2QiUiIiLaOFbUCJWWppWh6PZ1lwQeetXa8pkbl81VFiydieeCu1xc2mBtwJGdRzAVmzK0fG0oNIQTL5yAx+5Bu6sd08lpfP7M5/ELHb+AVmdrYQyAdvGApfrkaJW2DsfDZe+509tZli3qG+2Dv8FfKMUNZAOElYxhNbSW8nnsHiTnk7gQuVBSGa6S4gpshEpERES0OSwZAImIANitlBpZo/FsClrLnfLNRoubmA4EBxBNRbHPva/k+W3ONsTTcc0+QFpBwlRsyvBEvHe4Fx67B556DwDAU++BxWTBuYlz6PZ1F87Tm5zrTeS1Slv/68v/isHgIHa5dhWCrRMvnMDxQ8fhsXtKgqVL05c0q9atdgwrWWa2ODg7+dJJXJm9AofFUai+NxQaQjwdN3zf2QiViIiIaHNYMgBSSikR+RaAI2s0nk1hMDiI+YX5kozBVHQKTquzrNno2OyY7t4grT5AWhP/C5ELhceXW/Y1NjeGdld7ybEWRwuuzF4pOaY3OXfXuzE+N45gvKhPjt2nWdp6YGoA6YV0SbAFAI8MPIKAL1ASqIzOjMJusZf0EarGGIDKymBrmU3OwiQm2M12AIDdbEcik8BsctbwNdgIlYiIiGhz0C2DXeQpEblhpS8gInUi8qyIfE/jsTeLyLSIPJf7+uRKX2ctjUyPYCg8hFQmhSZbE1KZFAbDg2XlmPNV4BaXj9YrQZ3PIhQbj45jdGa0rGS2XlEDf4Mf08npkmN2ix11pjo8fflpPDnyJJ6+/DTG58Y1x9DsaMYzY88USkTPJGfwzNgzEJGyEtQzqRmYpPRXqMnWhHNT58pKgge82eVzWvchn1E7df4U+kb7YDaZDY+h0jLYWlw2V6FXk1IK8XQcC2oBLpvL8DX0SnezAAIRERHRxmJkD9BtAD4oIsMAosiVxVZKHTL4Gh8F8DIAvdnkT5RSbzV4rQ1hJpmd+NstuYyBxQ6n+Wqzz7x8pmepam3FtLIIg8FBzZLZelmPY/uO4cQLJwCg0OgzkojgQMuB7Akq/y37j8V7mWaSMzi88zCCsWAhAOnwdGBibqIsk+Wyusp6+0wnp2E328sClbaGNiQyibJlfwDKlhM+OfYkAr4AUvOpZcdQjWVm7U3tqDfXIxgPFsqP+xv9aHG2VFTamo1QiYiIiDY+IwHQW1Z6cRHZjWzfoP8O4OMrvc5G02hrxGxqFvFMHPXmeiQyCfgcPsymZhFNRcuWQBmdGGtt0G93tWuWzP7KF7+Cjv/UgdbWbGGDiYkJnDx5Eg888ACOHzqO3uFejMyMwN/gxw27bsgGHrEgMguZbMBmdaL/Sj8yC5myPTU3td9UUoo7nxVZ3Heou7kbg8FBhBPhQrAVjodx655bNQOV9qb2svuQD36KA7z5hXkkM0m8fsfrS8aQSCcwNjemWUluNfJZqOJeTdF0FM2OZpa2JiIiItpilg2AlFIXReRWAAGl1FdEpAVAg8Hr/xWATwBoXOKcm0TkeQBXAPw/SqmXFp8gIu8H8H4A2LNnj8GXrp09TXtgt9gRjAUxnchmDA61HYK1zlqW4ah0oqwVLC0OJk586QQe+qOH8MTJJ/D4448DAG677TacO3cOAPDAAw+g09tZOP/kSycxFBoq2+Q/l5rDG/e8sST4OPvIWVhvt+L2198OAAhNhfD9b30f97/3/rJM1i/t/6VCFbh8sHVP4B547B7D+2G09j01O5pxafoSRKRkD5Cr3oVIPLfcTfLfpKL7q0Ur8MwXpdCrRrdRMz1sxkpERES0tGUDIBH5bwB6AFwD4CsALAC+BuCWZZ73VgATSql+EXmzzmnPANirlJoTkXsAfAtA2cYUpdQXAHwByPYBWm7MtaaXMejZ2bPqyaZW/5yB4ACAq8HEG+56A6755jU4d+4cXnvgtVhQC5gOTeOa/dfgvvvuK7um3ib/qdhUyVK1h//+Yfzjn/8jHnv4MeBvgcx8Bp/98GcxdmEM/kY/jn7saNnE32v3lgRbeVoBBYCyZqNa1dNsZhtGZkbgsXsKmaWLkYt4Xevr0NbQVvJ6eqW0K6UVeG620tZsxkpERES0PCNL4H4JwPXIBitQSl0RkaUyOnm3AHh7LrCpB+ASka8ppX4tf4JSaqbo398XkYdEpFkpNVXRu1hjehmD1TQKzRckWDyBHQgOoNvXXdIH6O5r78bhfzuMNxx+A8LB7L6jBk8DfudzvwNzY/lH6rK5skv20leX7C2oBbQ4WkqCjzveege+8ZVvYOT8CD79q58GAMyF57C7czfe8c53rOgeFb9frcl5vlEsgJLGpLd33I7kfLJkD9BQaAh7m/aWvM5SAclqsyGbrbT1ZsxYEREREa01IwFQKlcOWwGAiDiXewIAKKX+AMAf5J7zZmSXt/1a8Tki0gbg1dz134BsVbqN+ef1RVaz4V0vGKgz1WlOYLX6AJ1+9TTmF+YLPwsEIzMjOHPlDO7qvKvkXL1N/jazrWRfj81lw/v+6n34y3f/JaZD2UpyHp8Hn/3mZxGp0660ZjTI0Juc599bcTC527UbXrsXozOjhefns1dGA5JqZEMCvgBOD51GKB5CeiENi8kCr92LOzrvMPT8Su5PNWy2jBURERHRejASAD0sIn8LwC0ivwngvQC+uNIXFJEPAoBS6vMA3gXgQyKSARAHcL9Sat2XuNWaXjDw7PizuKW9dGVhvgEocLUPkHvejY/e/1FEI1E0erLJuNnwLP7uo38H62etZQGQ3pK9IzuPFMaTDz52Nu4sK21tt9g1S01XEmQsNTlfHEzOJGfQP9YPT72nsGepf6wfnZ7OskIMenuLqpUNmU3N4kL4AmZSM3BZXbDUWQw/d62XpG22jBURERHRejBSBOEvROROADMAugF8Uin1aCUvopR6AsATuX9/vuj4ZwF8tpJrbQV6wQBQnuEYnxvHyMwIWp2thUn0Z77yGYxfGIe/w4//8qX/AgD4k/f9CS6/chnP/eg54J7S11tqyV5xP6HQVAif/o1PIxwMw+PLNjUNB8P4wH0fwEMPP1T2PgaDg5hXpQ1hfQ5ftnR3rmBCPmgziUl3cr44SzKdnM6W61701WhrRM/OHkNLDyvNhmhlavqv9GNkegQmkwkNlgaYTCaMTI+g/0q/ocpza70kjc1YiYiIiJZnJAMEAC8CsCM7FX2xdsPZHvT+Un+g5UBZhmMwlA0miifR97/nfkxGJ7H/zfthdVlRb67Hxz7/Mfzk336CD3zoA5qvqbVkb3GG4sTXT+DS+UvY3bkbn/3mZ2G32PGB+z6A4cFhvPj4i3jLdaUV0S9NX8KV2Stl1eUmo5MIxUMlmY9wPAwFBX+Dv2Ryvsu1qyxL8vLky9jbtBfnQ+cxFZtCs6MZ17ddD6WU4aWHlWRD9DI1T156EpFkBE22Jtjr7UhlUgjGg/jx8I/hsrmWXda2VBCmtzRuNUvmqrE3jYiIiGirk+VWnInI+wB8EsCPkC0+fAzAp5RSX6798Mr19PSoM2fOrMdLV03xhLs4GDi6+2ihrPTY3Bj8DX6ICF7f+nqIXC33rJTCcGQY82pesyeO0Qlv32gfkplkSZDwtb/7Gm76xZuwd+deRBIRLMwt4MXHX8QnPvaJsud/+ZkvI5qOwlPvKRwLJ8IYnxvH3Z13l1w3mooiMZ9Ak62pZHI/GBwsG8MTF57AhcgFXLvj2kLRhnAijOv815Ut71vqHuvt31l8f7TuQzQVxUNPP4Tdrt1oqm8qHH917lVcnr2Mj934sbLPzuh1E/MJzC/Ml33++YIQWr8XDGKIiIiIjBORfqVUj9ZjRjJAvwvgeqVUMHcxH4AnAaxLALQVeO1edPu6SwKdY/uOAQAGggPo8nbh0I5DiKVj6B/rx3h0HP4Gf+H5+aaii5eZVbrBXitDcfw3jiMYD5ZkWRZnfvL0qssBKCmvnf85nolrlpo2ixlnJ84WltFlFjKIJCJ4JfIKMgsZmE1m2My2inv+KKj8P0p/XkQvU1NvqUcqk0Iyk4S1zorUfAoT0Qm0OFoMLWvTW5JmNpk1lw72Dveiy9vFKm5ERERENWQkABoFMFv08yyAkdoMZ3sIxUNlgc5AcABmk7lsz0jAmw1yXFZX2b6O1VSiA1a/aV6vulyjtRHj0XEEY8GSCX6Lo6XsGiJyteCBLbuM7sWJF2Gps2QDHpWtcGers2E6MW34vQ0GB+Fv8KPL21U4ptczSO8+HG47jFA8hGQmidnMLMwmM6x1VnR6OksCtt2NuxHPxMvGoLck7bFXHtNcOjgRncChHYdKrsEqbkRERETVZSQAugygT0S+jezf0t8B4Gci8nEAUEr9ZQ3HtyVVUgWuraENiUwCNrOt6vs6VrtpXq+63LVt1+KRgUfKGpkeP3S87BoCyS6sLPqKZ+Joqm/CgZYDhfPCiTBmkjNlz9dTSREEvftwb/e96L/SX7KMzmQyIZ6JI5VJFQK2/rF+XOe/TnMcWkGqXmNawHiZbyIiIiJaGSMB0FDuK+/bue9GmqGShkqqwOWXu2llelbbY6bSTfNDoaGyZXtazx8MDuKw/zCC8eDVRqbuDkzFptDp7Sy55oJawBH/EYzOjGI6kc0iHWg5gMnoJOKZ0qV1jTbjv3LuerduFkrrvundB4/dU3Jui7MFQ+GhsqCtkuV5eksHu7xdhst8ExEREdHKGCmD/UdrMZDtRG/J1f6W/RibG9MsbLDYWveYGQoN4cQLJ+Cxe9Duasd0chonXjiB44eOa+7raWtog7/x6r4lpZRm9sVd70Yyk8TB1quT/Hg6Dne9G9Y6ayEo8jf6NZfQ6Wl2NOPU+VNlWah7u+/VvW9aQebiDE7kfKQsYDviP4LMQsbw2PSWDrY4Wwr7uljFjYiIiKg2jJbBpirSW3LV7etGf7w/e5Lkv2lnFqrRY6aSIKp3uBceu6dQ8S3/vXe4tyyrU8neIq17kc+8LC6ZHfAFDL0vAJiKTWlmoZ4ff35VhQa0ArZoKooGa4PhsektHcxn8FjwgIiIiKh2GACtA72lZ4PBQbQ1tJUEFHob96vR6LOSIGpsbgztrvaSY022JozMlNfD0Avw8j1/Fi/ZW3wv7ui8ozCOlWZC9LJQz7/6/KoKDVSj2Sj79ZRa7VJOIiIiokowAFonWn/p1yoJrVdhrBqNPqOpKPa595WcqxcM+Bv8mE5Ol/T8mU5Ol5TnLn5vi8t8X9t2bVlBgYuRi4W+PFpZj1pUuPM3+FdVaKDWwct2CwbWeiknERER0bIBkIj8fwD+GEAcwA8AXAvgt5VSX6vx2Da0WkxUtUpC61UYC/gCeHToUUP7hfQyPWOzY4aDgWP7juHECycAoLCnJhwP4+b2m8uyOgDQf6UfqfkUXDYXUvMp/PPL/wyryYpdjbvgtDmRyCQwHBnGmStnDDc3Xcriz6PZ0YyB4ACA0kzNsX3HNI+vJIOz3Bj0fif0Jv3FjVC3SzBQjaWcRERERJUwkgG6Syn1CRH5JWR7At0H4HEA2zYAqtVfrbVKQi9VYSyaiuJC+AJmUjNwWV2w1lk1z9NbLtdoa8T43HhJVsZr9+LIziNlQU2ntxPHDx1H73AvRmZG4G/w4+b2mzERnSjPLKWjGI4Mw1PvKQQ7L776InY17AKQDbIcFgeabE14efLlVQdAWp/HQHAA3b5uTMWmdCu7rTSDoxXoADD8O6E36d+OjVArXcpJREREtFpGAiBL7vs9AL6hlAqJGC/5uxXV6q/WWiWh9SqMnblyBlOxKXR5uwqllKdiU5oZFb3lYE31TQjHw9kDKvttNjWL/iv9aGtoK5vId3o7S/Yn5Sf8i+/DD4d+iP3N+2G35PrcWOyokzq8NPkSmp3NaLA2IDWfwoXwBbQ1tq06m6b3eUzFpgxVdquEXvCr1cQ2PzajSx3H5sa2XSPU1TbjBbbfskEiIiJaHZOBc74rIv8HQA+Ax0SkBUCitsPa2CKJSKFvT57D4kAkEVnVdd31blhMFhxsPYib2m/CwdaDsJgsmpPBlydfhrveDbvFDhGB3WKHu96NlydfLjs34Asgmo4imopCKYVoKopoOgqBwGl1llwjkoggFA/BaXVCJPu40+LEYHDQ8H3Q2rNkq7NhHvPZH3Lxc0qlICLoG+1DMpOEz+5DMpNE32gfQvGQ4fsWSUSQXkjj7MRZ/HTkpzg7cRbphfSqPw8txcFW8f05N3nO8O9EfqljvplqKpNC/1g/Gq2NiKVjJedu9Uaoer+bRiv+5QPS1fz+EBER0fZipA/Q74vInwGYUUrNi0gMwDtqP7SNqxp/tdZSjQpjWvQ27j/2ymO4MnsluxytPrvnaDA4iH1N+0qer5eF0LsPr2t+HSLJCESkkJ2y1FlwjfcazKt5zCZmYa4zY49rD5RSmpmT/iv9cNlchv6qbxLT1b1T9Vf3Tl3fdr3m+avJGFTaxFbrd0JvqeMu1y7NRqh61fM2auajknGttqjERtlDtFE/CyIiIiq3bAZIRBwAHgDwudyhnchmg7at1f7VWk9+Mmgz2xCMB2Ez23T3FR1oOYBIMoJ4Jg4FhXgmjkgyggMtB5a89t1ddxeuOZuchUlMsJvtEAjsZjscFgfCiXDJc5fq4aN1H+7pvgd7m/ZifmEekXgE8wvz2N+yH3d13YXXNr8We9178drm1+JQ2yE4rc6y7E2lf9VXUNklfIu+VH5dX5FQPITTQ6fx7NizGAgO4NmxZ3F66LThjEE+6Ft8f/a37Mf43Dievvw0nhx5Ek9ffhrjc+OavxP5pY75Rq/WOiuO+I+gwdpQ9vnnCyMsvhdDoaENmflY64xMrbKxlWAWioiIaHMxsgTuKwBSAG7O/TyKbFW4bauSQGWl1y4OVLQc2XmkLMjY27QXR3YeMfxaLpsLC2oB8XQcSinE03G0OFtQZ6ozFNzp3YdObyd6dvbAWmfFTGoG1jorfrHrF+Gud6PD3YEbd9+IDncH6qQOu127s8vB5lNoqm9Caj6F0xdOw26xG1qGB2T7+xzxH4HVbMV0chpWczagUKo8ADpz5QyGI8Ookzq4bW7USV2hGp0RekFfp6fzasBV+Fb++sDSSx0Xf/5TsSnNJXe9w72ax/XuUX6Sfur8qcLkXOvYauktEVxuXCsNHvQC0rVcNljpeyYiIqL1ZaQIQqdS6ldE5FcBQCkVl+1eBQHaG+n1lsHUYnmM1+7FnZ13ruq67U3tqDfXIxgPYjqZLbrw+tbXw2a2FYKa5ZYk6d2HgeAAurxdOLTjEGLpGCaiE2h1tuL58ecLvYGO7TuGofBQWeYmnorDVmcrueZSxQDc9W4kM0kcbL26VDCaiqLB3FB2bvHeKSBboEFBGa5Gt1QTW3+DH13erpIxaC3lW2qp4+LflZHpEc1eTXoFEy5ELgDAshXqTg+dhoKCv8Ff1UqGlVZ1W+0StlotG60EK9kRERFtLkYCoJSI2JH7u7aIdAJI1nRUm9B69HZZTTUzIDt5DMVD6HB3lEwej+w8sqqxaU1qZ1Iz+PHFH+OI/0ghKBoIDmAuNZetfDc7WgjCrvdfj1A8VFIlzWf3ocXZovs+8svYist539F5x4rfw1L0mtgungSnF9LoG+3Dm/a+qeyz1wqigPJAZWRmBPXmevgbrzac1WvoOh4dx+jMKHY4d5S8Xp2pruzzyGdY8gFbtfbOVLo/brXBQ60b0xpRqz2BREREVBtGAqA/RLYBaruInABwC4D31HJQm9Fm7O1SjcmjVnZLa1I7FZ3C/MK8ZjPWHc4dJdmbgakBPP/q8/DYPYWmqxcjF3H80HHdHjxGl58daDmAf7/070jOJ5GZz8BcZ4atzoYOTwe+/MyXS7JTxSW/l6M1CR4MDqLZ0az72S/+/LXKigd8ATw3/hxGZ0ZLgjuthq6DwUEEvIGy13t2/Fnc0n5LyWulF9KIJqNlpbi1KvhVotKMzFYIHjZCFoqIiIiMM1IF7oci0g/gRmTrVX1UKTVV85FtMnp/yd7ovV1q1RNn8aR2KjaFZkdzyfMdFgdcNldZ5bPx6Dhu77gdyfkkZpIzcNlc6PB04JXwKwhfCZdkei5GLsJj92guP9MKMl/jeQ0ee+UxpOZTMIkJyUwS4XgY4XgYXb4utLvaMZ2cxokXTuD4oeOGgyCtSfBkbBI377655LylPnut3yF7nR3RVBTN9uaS4M5j95QFr+2udrQ1tJW9HlBeoS6VSWF0dhQ+hw9NtquV867zX7eqJZuVBtWrDR5q1ZS4EhshC0VERETGLRsAichjSqnbATyicYxy9P6SrbVUabP9hVuPXtYrMZ8oC2rqTHVlAVAsHUN7UzsCvkDJ5HG3azc63B0o3mqmlMKpoVOwmCzw1HvgtDmRyCQwHBnGV7/0VXzk1z8CZ0v29UNTITz63Udx+6+U/4pOxaZw655bEYwHC5mP/sv9yKgMQvEQRqZH4LQ6YTPb0DvcqxkADYWG0DvcW5YtWjwJPrr7KCx1lpLn5j97rSBDM4sUGsTepr24YdcNhWPFwd3iAE/rd+1Ay4GyzyMxn8h+HotKcc8mZ1cdUFQSVG+VMtirXY5KREREa0c3ABKRegAOAM0i4kGhfSVcyJbCpiIBXwCPDj2KcDyM9HwaljoLPHaP5lKlSpfHbNQeI3pZr3gmXjapffs1b8dAcADRVLTsPmhNHrUm8lOxKexv3l9SwOBHD/8I3/ur7+HsI2fxhX/6AgDgg/d9EK8MvAKlFO7+r3eXjbmtoa1kT80Tw09gOjENT70HDbYGpDIpzCRmMJucLXvPQ6EhnHjhBDx2j2a2qPh95LMT+fuyuK+P3n6x4vOnYlO4qf2msnuslUXSy6bkx1T8eXT7uuG1ezE6M4rpRHbv1RH/EZydOItObycuRC5c3X/l8NU0oFhN8MACBERERFSppTJAHwDw28gGO88UHZ8B8GAtB7VZST5GlKs/ay1VquQv3BthiY+epfZvaE1qPXaP5n1YHOA1O5o1g8YWR3kRhCN3HMGPTv4Iw4PD+A+/8B8gEISDYezp2oP3/cf3GRpzZj4Ds8kMmzlbec5mtmE2VR78ANk9XR67B556T/Y95b5rZYu8di+6fd1l2aLi0tbA1azFVGxKO4tk0s4iLbZUNmVxWeniUtx50VS2vPdQaKikOe5QaAjxdHxDZji2wh4iIiIiWlu6AZBS6jMAPiMiH1FK/c0ajmlTGgwOoq2hrWQSvNRSpUquuxGW+ADlmSi9QEUvu6VXMntxgDcQHEC3rxtTsamSibzZZMa/j/w7kpkkMgu5oMVqw9/849/gQ/d+CKGp7CS/0dOIk987iWv2XlM2Bq0sic/hQyQRwUxiBg3WBsyl5pDIJHBd23VlmNFXegAAIABJREFUzx+bG0O7q73kWJOtCSMzI7r3p7gceL7yXYe7o+Qa+azF4nukl0Wq9B4vzk5a6ixosDbA3+AvuW6DtQEi2aa4AGA325HIJDSzYRsBCxAQERFRpYxUgZsWkXcvPqiU+ocajGfTqtVSnI2yxKeSQKWSzJRegJfPhhQrKWAAE5ILSSil4Kn3YH5hvnBenakOQ+EhdMW7ysailSW5p/seBKNBvDz1Ml6NvopmRzMO+w/jNd7XlI3X3+DHdHK6kPkBkC3fbW0suz/f+fl3NKuyjc2OGc5aVGODff+VflycvpjdO2XN7p3KX2txv6doKorLs5cRT8dRb65HIpPAglqAy+Yy/Hpr3Q+LBQiIiIioEkYCoBuK/l0P4HZkl8QxACpSq6U4G2WJTyWBSiUqCfCmYlO4de+tCMauFjCoi9fh13/p1zEdmobHlw1KwsEw/vO7/zPcD7vxluveUnYdvSzLHa+5oySLkO+TVDxpv7btWjwykK0Hki/RHY6H8brW12F+Yb5k78xschZTsamS/UZ6le+WylqE42G8NPFSYRlds6O5ogn+uclzcNvcJVkdZVMYnRnFLx/45ZJztZrj+hv9uj2YFtuM/bCIiIhoezEtd4JS6iNFX78J4HoA1toPbXMJ+AKIprN7KJRS2f0UuUn0RrxupSKJSKGkcp7D4kAkEVnVdfMBXjG9AC+SiKDN2YaDrQdxU/tNONh6EC/86AVceeUK9nbtxR89/Ef43a/+Lna+ZieGB4fxvW99z9AY8hPofDbEZrYVJtR9o31IZpLw2X1IZpKYiE7g3u574bQ4MTIzAqfFieOHjkMphaHwEFKZFJpsTUhlUogkIrg0fansvbU3tWu+nlYgkC+6EE1H0e5qRzQdxYkXTmAoNGT0Flck4AugzlSHDncHbtx9IzrcHagz1Rn+fSsOlEUETqsTTosTvcO9mFfZAPGp0adwIXIB82oeg8HBmryPWsoHeafOn0LfaF/Z/ioiIiLa2IxkgBaLAVjb2fcmUKulOOuxxMdoieZqZKIq2cOhNYa3Hn8rLoQvYP+x/ah31cNtduPjn/s4fvKDn+Ad//EdhsehlUXQakwKAJmFDN57+L0l5/YO98IkppIKda0NrRifHTdc+U5LJUUX9Oxv2Y/nxp6DQArL2iKJCK7zl+9xWu3vm15Gbyg8hPG5ccymZgsNaButjQj4AqvO3qxllcSNXJSEiIiIjDHSB+i7KLRghAnAAQAP13JQm1WtluKs5RKf5ZYwAdXdbF7JhFsvWLr/vfdjKDxU6GXj8rlw8y/ffLUq3wpVsjyv0daI2dQs4pmre2fsZjuubbu2bJ9NJRPlpYouGNWzsweReASheAiRZAQWkwX73PvQs7PH8DWM0guUE+nsvqNmezPs9XakMilcmrmERmvjql5vrQOSjVSUhIiIiFbGSAboL4r+nQFwUSk1WqPx0Dpbbq9PLTJRRgM8vWDp6ctPo9vbjWfGnsFUfArN9mwRgwW1oHkdoxmDSrJee5r2wG6xIxgLFvrq+Bv9aHG0rGpirFd0wd/gX+JZpbx2L+7ovMPQe15tQKEXpNotdqTn09mTcn9OsYpVt9y4UWsdkGyUoiRERES0cssGQEqp3rUYCFXPapYELTXB2wibzbXGYBITBkIDaG9qR8AXQCKTwEBoANe3XV/2/Eom+HqT+Xwj0+L7my+Y0OHuKCuksBrH9h3DiRdOACgtunBP4J6KrmP0s1ttQKEXpA4EB+Cz+zCdnMZcag4OiwMdng6YTMtuQ1zSWgckG6UoCREREa2ckSVw7wTwZwBaUVhkBKWUMl4Xl1alkoBmtX/B34wTPAWVzSos+lKFlZtXVTLB12pkem3btei/0o9QPIT0QhoWkwUXIxdxR+cdVcmQaX3Wxw8dR+9wL0ZmRuBv8OOewD2G9/9U+lrVCCi0gq38PqRdjbsKSwTDiTCu21G+D6kSa/37yr5DREREm58oVT5JLDlB5DyAtymlXl6bIS2tp6dHnTlzZr2HsWpGg5rigKZ4wqUX0OSrlhVPCKOpaElls+XGpfd6ANZss3klTp0/BbP8/+y9e3hcV3nv/11zv2uukkY3W9bFsePYTqTEJE5wBA4JCSHl4pZioMBJWnpC6UnbQ0/aPqXllF5+/bUUSoCG/tJDWxPacLikJODE4IQk2CaSL4kjY0lj3aWR5n6f2XNZvz/Gs609e29pj3WxJK/P8/ixNV6z9tpr7xm9737f9/tqMJWY4iWoW6wtKNAC7u28VzTWZXSBkCv1QZRShDIh0VipvfjZxM9QKBbEhrx3L97V8S7Fa5a6/gBqutbLIZwJ45jvmMCRcxqdcBgd0Kv1V33/1Hq8gx0Hl3VutX4+VoKVEF1YS+EGBoPBYDCuRwghA5RSyYJnJfknc+vF+dksVIy2hfLKcnK6crLCcvLBy5WrrkUSer1IANsNdmQKGcFrmUJGMgpQi+y21N7PJ+eRK+Rg1BpBCIFRa4TdYMeFgPKPiNz1H5gZqOlaL4f+mX6MRcegJmrY9XaoiRpj0THEcrFVkV2vODs3e29Gt6sbN3tvXrbzU5lXqaR4rfjCPjx1+il84WdfwFOnn+KlxyvHvLfz3qs6Vi2ffwaDwWAwGCuPEhGEfkLIfwD4PoBc5UVK6XdXbVWbnFrSsGpNSao1JUjuSbRSSej1oH7lNrnxvQvfA1fkoCIqlGgJOrUOj/Q8IhpbSwqT1N5rVVqRA7UYUvsrd/3P+M9gf+t+wftrTT9TGlm4ELgArVqLmeQMUlwKZp0ZNr0N0/FpfHTPR6+p2MV6mLfSf8lhdKDV1opYLoYjbxzB4d2Hl51+yJTkGAwGg8G4tihxgGwo9/5ZmN9DAShygAghagD9AKYppe+p+j8C4EsA7r98jI9TSk8rmXcjU4tTU6tDU4uBX0u90HpWv7oUuQSDxgBCCArFAvQaPfRqPS5FLomMVam6ngNbDyhWgWuyNeFS9JJA7jqai9YkuJDiUthq3yoYW4naSV1rFVGJRBecRqfI2XGb3BgKDSm6nikuhdnkLOr0dbDoLeAKHC5FLsFr8Uo6FHKO1WZN5Vqs/5LD6FjWOa/nzxKDwWAwGNcDSlTgPrHMY/wugAsoO1LVvBvlpqpdAPYB+Nrlvzc1tTg1tRZd19JXp5Yn0XaDHf6UH6F0iK+zcZlc8Jg8V7cJK8hgYBBN1iZB6l86n8ZgYBD3dNwjGBvOhDEUGkKnsxO7G3YjnU9jKDQEh9GhSAWuxdYCu8GOfDGPaCYKrVqLLXVb0NPUI1qX3P7OJmYlr/8Ozw6k8inB8WaTsyAg0Kv1kn2ZFjo7z158Fl3OLsnrWYk8VYx2AiKSpc4X87DoLKLzWKw3VP9MPyKZCPLFPLRqLcaiY7in454N7wTJ9V8aCg0tu+/QSkVpGQwGg8FgXB2yDhAh5LOU0v+HEPKPgFhOi1L6maUmJ4S0AHgAwBcA/J7EkIcA/CstKzGcJITYCSFeSums4jPYgCzm1EgZO6vVf6eWJ9FukxtHR47CYXTwcszj0XEc3n142etYS2pVgave+4pDpcQgldtfq94qcnSqhSYqx3MYHTCoDaL1vjz2MjqdnYLXi6UigukgvFav4Hhj0TGEM2GB0Z7gEvCYPCjSIhK5BO/INVmbFO/Z80PPI5QNIVfIoVAqQKPSwJ/yI1PIoFQqCSJsK6Fat5bI9V+ioMtOX1utKC2DwWAwGAxlLBYBqlR1L0dy7R8AfBaAXLv3ZgALW9pPXX5N4AARQn4TwG8CQFtb2zKWsz6Qi9IAkDV2lBpXtRhMtTyJDqaDuMV7C0KZEOK5OGx6G9rt7Qimg9fcuK1ILBOQK2lp2Sj2esUSy7WmH8nVlyi5HnL721bXxkdkpJzahXMfHTkqKWoxm5zF7obdgtfdJjeC6aDgtXQ+jXgujnpzvcBob6trQ4pLwW12X4noGV3wmMURvWg2Cg3R4Pz8eYHK3oB/ADatDTaDDUadEVyRw6XwJRy/dBw9TT1QERVC6RCGQkN4pOeRa36f1IJc/6VOZ6fk9bgamfCVjtIyGAwGg8FQhqwDRCn9r8t/f/NqJiaEvAfAPKV0gBByt9wwqUNLrOVJAE8CZRnsq1nPemO1hAZqMZhqFQRotDQKogsV+ehrTW9TL6KZKMKZMKK5KLQqLbbat6K3Sax8uJbpR4vtr5xjVX08Qojker0Wr+h1t9mN6cQ0Xp9+XSA1bdVbRUZ7l6sLP7n0E5h1ZlBQZPIZpDVpSbU3QggGZgfgMJSjf9lCFgOzA4jn4nAb3dBr9AAAvUaPydgkQpkQTFoTdGoduCKHYDqI54aew0f2fERyL31hn6gm61o7Sx3ODsn+S8F0cEX6DikVbmD1QgwGg8FgrDxKGqH2AvhjAFsWjqeU7pZ9U5n9AN5LCLkfgAGAjRDy75TSjywYMwVgYaJ9C4AZhWvfdKyEsVPLHLU8iV7PDVIrEstKHJVa04+qe9dUmp4qcYJq2d/K8aqjd5FMBAQEjZZGwXoPbD0gasiqVWvRaGks1/ZcfkxAQeEwOETXLlPIwKQzVQbxY6UgIFdaIC/4Y9PbkCvkkCvkeGdnPjUPt0noFDmNTpyePY0uV5coMllvrsdzQ88pVltby3qYDmeHaA0Oo2NNG6Gu588dg8FgMBgbFSUqcEcA/E8AbwIoKZ2YUvo4gMcB4HIE6A+qnB8AeBbApwkh30ZZ/CC22et/FmMlohO1zqFU8avL1SXbyFLp2lazZqEW5TKlTkmlV47D4IBZb0a2kMVYdAz9M/01NT1VilT0zmvxIlfM8X1uFqZL0iueC4By4f7ehr2CKF2KSyFbzIpqjoZDw+hwdIArciiUCjBqjTDrzJKRwhItocfbg6n4FGLZGKx6K3q8PSgUC8gX88gWs0hwCWhUGlj1VlEaHVfkkC1kJSOT373wXTRaGkVqa88NPYd9LftkG8VebT3Mcu/LWp3a5VKrCAqDwWAwGIylUeIABSilz67UAQkhnwIASunXATyPsgT2CMoy2MtVnNvQrERxdEUdTMkcUiw2b7XBLRcxuBaF21KS0IsplClxli4ELsBusMOoNQIAjFojKCguBC4ocoBq3Qe56F2mkJFMl/RavOh0dvKvHR89LimCUHn/QqPdbrBjPjUPk9aEOkM5rc0X9iGTFx/LbrAjV8hhV/2VeyjFpdDb3ItIJiLY4zva7sBcYg7xbBwWvQXJXBLhTFi2dmY6Po3tru2C19VQ4+WJl6FT6wSRN4fRIelE9c/0o05ft6RTs9yIXoWV6Duk1BFba4eLwWAwGIzrASUO0OcIIf8M4Ce4ykaolNKXALx0+d9fX/A6BfCo0nk2O7X0qJGr9Qmmg8symOTmraiOLTS4U1xKMmKw1oXbUo7G0+efRiKbgEqlEiiUOY1OSWnsF30vipylY/9xDAfefQCmhrLhHgvH8OqPXsXb3v82ReuqdR9qid5JOUtyIgh2g11ktL81/xYy+QwimQjS+TRMWhMMGgMSuYToWHKO+ULVuoohf0/HPXhp7CUMBYfgT/ph09mwv20/WutaJc+t2dYsUls7HziPIi1CTdSCyNtIeETkeOaLeZyaOoUDWw4s6WSudURPjlod49VqIMtgMBgMxvWKEgfoEwBuAKDFlRQ4xY1QGcqppUfNYrU+yzGY5OaVUh2Tqy1a68JtKUdjPDKOaC6K7a7tvEJZOBXG69OvixyggZkBjMfGy4axrmwYP/3U0/jhP/wQv/j+L/DZJz8Lg8aALzz8BcxemoXb5AYU+EC17kOXq0vkiDmMDvQ29YoaoUo5S26zG5FsBCkutWT0jxCC0egobDobLDoLklwSs8lZNFgaRGOXikJU32tSjUIBSDpR79/xfjw39ByAK2pro9FR7G/dL468BS+Iznk4PAyPyaPIyVxuRG+lYMpuDAaDwWBcW5Q4QHsopTet+koYNTcmXY3iaLl5pVTH5I63EmurpVZDytFIcSlQSgXF+DqNDoF0QDT3L6Z/AY/JA6PmsmGsMeLO++7Eie+dwPzYPP700J+ihBKysSyatjXh05/4tKJzuJrmsaQijEiunEf/TD+8Fu+SqY5qosbbt7wd5/znlowgUkrRbm9HrphDikvBorfAZXKhHJQVI+dUyym4SY2Vim52ODtgN9gFamu93l7Um+tF73eb3KJapmA6iNtbbxeMqziZ1dc5xaX4a7wclltHtJ6V3VjTVQaDwWBcD6gUjDlJCNm56ithIJqNStZJRLNR0dguVxdS+RRv6Ke4FFL5lKSM8WJU0nGOjhzFqalTvJFZPe+BrQcUH2+5a6usKVfIwWV0IVfI4dTUKYQzYcnxFYdrIWadGQQEuUIOlFJercysNYvmHo+NI8WlBO+3OW34b//w32Bz2pCOpZGNZWFxWPBnT/0ZPPXyDsxC3CY3Ts+c5vsmxXNxnJ45XY4gSTAcGoZJZ4JRawQBgVFrRCRbrrEx68wghMCsM8OsNfOpjhVxBL1Gj25XN+ZT8+h0duLejnvR6ezEUGhIct+seiuMWiOarE24qeEmNFmbYNQaYdXLtewS4wv7cOSNI0jlU2i1tSKVT+HIG0fgC/tEYxdGN6vX1uHswCdv+ST++O1/jE/e8km8fevbEc1FkSlkyhLdhQyiuShua75NdM77WvZBq9IKjpXOp6EiKtF1pqCYScyI5t3pUf71Vuu9KYXU/boelN1W4twYDAaDwdgIKIkA3QngNwghoyjXABGUy3eWksFm1EgtkZOVKI6WqkUYCg2h29WNYDoomreS2rTU8Za7tlpThKRqVLY4tsCZdaJIi7xCmdvkhtPoFM293bkdvogPFp1F0EjVrDVDRa48I9CqtKg318uuo/rpeSwXq6l57ERsAuf85zARm+DrcvLFPPY07hGMk0t1PDV1CkVaxGh0VBBxklpvW10bjFojQukQr+zmtXrhMXkURwFeHnsZDqNDpOD28tjLovMbDg2jWKpam1F6bT1NPQhnwohkIohmotCqtdhStwU9TT2ic67cwwuvfSqfglqlFh1vm30bfFEfiqWiaF4ppPZhJdLXVlPZbTkRHJaax2AwGIzrBSUO0H2rvgoGgNoNo+UWRy8lpLCc461GHZJcipCUeMS7O9+NkfCIqJ5GTdSiKNte716EMiEUaZFvpOooOvD5z3we0VAUDlfZsI+EInjs8GP4q3/9K0kVOZHCWGwcB9sPCtTTFmseOxIawYB/AB6jBy6jC5lCBuPxcdj0NsE4Oad4IjaBmcSMpLJbxXhfqJIXzoTRbm8X3Gtuk1txgf5schattlbBa3X6OkzGJ0Vrm4xNYjoxDZPGxDdT9UV8yBayor2sCFVIGfJSBr6Us/3TSz8VHS9aiKJOXwedWodQJlROt2vqlVWMk9qHJJdEu71dMLbW9LXVUnZbrvriek7NYzAYDAZjJZF1gAghFkppklI6vtSY1Vna9cdKGUZKnwKvV4PnavohVYtHzKfm0dvUi2A6KHqCXz23VqVFX3sfbHobP/blZ17GlG8KW7u24snvPAkA+NShT+HS0CX0v9iPX9v3a4I19M/0YzAwCK7I8Q5XIBnAzyd/jjZ7myDqUd0np8JEbAImtQlatRaEEGjV5V5Lk/FJRcIGiVwC4XQY5xPnEc1FYdfb0WRtggoqyR5OPU09okhfLVEAr8UrUnCL5WLwWryoJp6LQ0VUAgGCbDGLeC4uuRdyUuVyBn712HguXk5xy0aR4lIw68wolUqI5WJ4/473LykyIrcPs4nZFam9q6VvlRSrEZ1iTVcZDAaDcb2wWAToB4SQswB+AGCAUpoCAELINgB9AH4VwDcAfGfVV3kdsdyoTi1PgderwVNrJKyWSJac0lqlP1CFfY+V39d6eyv0Nj1MWhP+/sjf4+h/HcXjv/+4aA390/0IZ8Kw6W2w6q3gihy4EoeXxl7Cr+z4FV7hbDw6jsO7D0ueByUUbXVtSBfSSOfTMGqN6HJ0IZKNiBqhShnGqXwKv5j+BeoMdXAYHIjn4vjF9C/Q7mxHppARyT/bjXaR+lk0G4WGaHB+/jzvtA18fwD7372f38v5+Xk888wzuO/X78ORN44AuKLgFslEcEfrHSLVOqveigSXQKaQ4dMMS7RUU82R3HUemBkQOK9drq6yyl14FDbDFZW74dAwbnDfoMhBkHs4YNPbREIMK5G+VsvndrWiU6zpKoPBYDCuF2QdIErpOwkh9wP4LQD7CSEOAAUAFwE8B+A3KKX+tVkmQym1PAVerwZPrZGwWiNZ1Upr/M9VfPaxz/JP2kOZEBobG/EX/+svJNcRSAegU+sEqnPFUhFWnZUXQLDpbWh3yNcA3ei+EW8F34LH5IFOowNX4BDMBNHj7VHkFPuTfrTZ20BBkc1nYTPYUGeow1BwCHsb9iqSfyaEYGB2AA6DA3X6OvzoWz/C03/7NH5w5Afoe60PANDX14fBwUF8BV/B4V8/LFBwu6P1Dsyn5kXGeUV+WqrmSClS1zlfKvcBevuWtwudgVwS7Y4FKnc6C5xGp0gwQe4+kXs40FrXCrfJrahX12JI1Ysp/dyuVnSKNV1lMBgMxvXCojVAlNLnATy/RmthrAC1OAPr2eCRi4RJpf7UEskaDg2j0dIocEDkGrouto5qPCYP/Ek/coUc77wkuARaba2Ka4Du774f04lppPNpZPNZlFCCXW/HHW3iiIpUPUwmn4FFZ4FRY4ROrQNX5JApZCDj30lCQMrjL//puacHP3nmJ5gYmcCuXeXzCAQC2LlzJw4dOoR6Z71gLyuRiWrjPFvMQk3UopqjWlQLpWTFg+kg3Ca36HgJLgGzruyEVSJOsWwMWrVYMU7qPpF7ONBsa1bcq0sOuQjOHS13CMbV2mdrJaJTrOkqg8FgMK4HlIggMDYQtaa1bSSDR85wlOqJI2f4rVbdU29zL34+8XNwRQ6JbAJadVkxbptjm2DcYteiw9mBR3oeEUQX9jTukYyoVM554eslWoJNb4MKKiS5JExaEzwmD3bX70Y0FwUh5IrKXS6KmxtvFq2hREvocnbhzOwZ3rn463/7azz20GMIBAIAAI/Hg+PHj6O+XtyrR25/M4VMTc62lKPrNrlxdOQoHEYHn3J31n8W77/h/aLjmXVmdDg6EMqEEMuVI063Nt0Kf8qvqJ5K7uGAnJpd/0w/6vR1ikQbpCI4HpMHw+Fh3Np865L3ymLRqcr86+2BBoPBYDAY6wnmAG0y1mta20ogZ3xWan2UGH6rVffU29SLaCYqEBrodHbCrDMrMrgrdDg7FEVUXh57mZ+/8vq+5n346dhPsbthN7bpt/E1OYd3H8ZZ/1kMBYcQ5+Kw6WzodndLyj8TQjAcGkarrRVdzi5kC1mMzo4q3ofF9lepsy3n6GpUGpGs+N6GvZhLzaHN3iY43g7PDhRLRVHE6baW2yQl3qWQWq+Umt0bc28gkA5gu2s7X1c2Fh1Db1OvyEmVq9XpcnXhxOQJRffKYp/xjfRAg8FgMBiMawVzgDYZ6zmtbbksJaWsRFVrtRxEp9GJgx0HRceLZCKS9SLLVeqbTc5ii32LQKygxdaCO1rvAKWUr8m5v+t+OIwOnPWfVXQe1Slw8Ugc//SZf0IsHIPHU67XCQQC6Ovrk4wCLba/cuestB7mjP8M9rfuh9d6RWUumo1KOg6Ve0HqcyBVf6UUKTW76cQ05pJz2OnZCbOuLDIxHhvHXHIOexv3KqrV0aq0giavq9lnayVZrnLdZvheYjAYDMbGQ5EDRAi5E0AXpfRfCCEeABZKqfLHwow1ZbM+Ba5FSnkpyeTVMB6lmnQOzAyAK3Kw6W3gihwGZgYAQDIyUItSn01nuyJWcLnnz8DsADocHWixtaDZ1gy7wQ6H0YH+mX6E0iF0Ojv5FLhQOoT+mX6RCEKJltDj7cFUfAqxbAxnf3oW82PzaOlowZPfeRLxXByPf+xxDA4O4plnnsGjjz4q2oPqnkwHth4AgEXTF5XUw1TOvRbHYaU/B1JqdjOJGdh0NswkZnjJbZvehsHgIO5oFZ+HXK2O0n49wPr4jK+Ecl0t58xgMBgMxkqxpANECPkcgF4A2wH8CwAtgH8HsH91l8bYbCz3CXAtUspy6XIVsYO1MB77Z/oxFh0TyU/7k37JyEAtSn1emxeXwpcACv5PmkvjQvACPCaPwMg8M3sGbpNbkQqc3WBHrpDjhRtu/53bYdFa4N3nhdluhkfrwRePfBFH/+sofv2Tvy46Z6meTEOhIWhUGtlUvnpzveA6mTQmyXqYHZ4dy3YcakHqfm2raxOp2Vl1VqQLaeSLeVj0FnAFDqORURBKNnWtTi2Kk8vtUcRgMBgMxkqiJAL0PgA3AzgNAJTSGUKI8uYdDAZW5gmwlPEpJ6W8VLrcWnAhcIGXfwauOB6n/aclIwO1KPW9Pv16OVKTmOKL/N1GN7LFrMjIDKQDMGqNmE3OCiIUlWuwVIpg97u70eXq4udraWrBhz7xoZoM3TP+M9hVv0uUsueL+JDgEoLrxJU4hGIh7PTsVJzWttIsJrgRzoQFtUUmrQkqoiq/kZb/4kocttRtkVVlWw8RnOVSi6DIem26zGAwGIzrEyUOEEcppYQQCgCEEPNSb2AwqlmJJ8Bdri6MR8eRyWdAQZHJZ5Dm0uhqFUsp15Iut9YYNcZlK/VVR2oA4PjocbhNbsE4k9YEs9aMN+fehMvk4puCDgWHsMWxBblCbskUwRZbCxrNjaJ5azF0U1xKMmUvm8+KrpOlaIFFa5FMawtnwqJjrkRtSfUc8Vx80ea6C/dnX8s+zCZmkcglkCgkoFFp0GZrQ5era93U6qwGtQiKrNemywwGg8G4PlHiAP0nIeSfANgJIY8A+CSAb6zushibjcWeANdiwNLKI3Za9XMVtaTLrRY7PTtxxn9GJD99Z9udy+7XIhWpUavUcJuFDlA6n0a9uR4alQZckUMyl4RWrYVRY4TL4JLDIuQmAAAgAElEQVR1SKsdLn/Sj1AmJEgn9JjFkTc5Q9eisyBbyApS9kDLDk+JlkTXqcnaJClqUR2VOeY7BgoKr8V71ZFFuWjP7a23C8ZV7lcph9Rj8kjuz2pFetaDoECXqwsv+l5EJBPh1e8cRgfu6bhHcuxmVadkMBgMxsZjSQeIUvr/EkLuARBHuQ7oTymlL676yhibCjnDmBCiODVuODQMr8WLTmcn/5pcE9Na0uVWi56mHkzEJkTy033tfbLqcEqRSo177/b3Yig0JFJE81q9uNFzI6YSU7yBbtPboFPrBHPKRXWk+u+MR8dxePdh0VjZmiWrF06DU5Cy1+PtwfnAeXQ4O0TXSa/Wi9LzpKKIlYhQ5Z5YKrKotC+P2+TGcEhZX54uV5coLa7WJq+1sJ4EBUilyy6p+rmK9aRcx2AwGAyGEhGEdgCvVJweQoiRELKVUjq22otjbB7kDGO54ngpA7aWOoK1NkrlsOgsaHe080/ILToLIpmIpFCAw+hYlkHoMDpkm3dWp8tl8hnR++UM/GA6iG5XNwYDg7gQvAC30Y2dnp0IpoMiSenFGohWryHFpbDDswORTKSc1kjLaY1zyTkQEHBFju+pNB4dByEETqNTUEcUzUZh1gqzcuXuCTnHIcWlsNW+VTC2y9mFn0/9fFlNU1fKuFcqE76aggJyjmOjpVFwD8g9kADWh3Idg8FgMBiAshS4ZwAsrNguXn7tVunhDIaYxYr5KxLHFeQM2FrqCNbDE2e5iJVUE9PKeKUGYjgTFqUfjUXHcE/HPYqU5JxGJyioIgN/IjaBudQcr16WLWQxl5qDWqVWbOh2ubpwzHdM0CjWaXSip6kHA5myNHgleOCL+KBT6dBsbRao5xVoARqVRlBHNJmYxDb7NsGx5O6J4dAwirRKGdDkQjwXF8trq5X35ZE755VAzmmTkglfLUGBWhzH1V7HtU77YzAYDMbmQIkDpKGUcpUfKKUcIUS32BsYDCnkivmVOjW11hFc6yfOizUx3d2wW/R6LYbjwMwAxmPjZYntBc03B2YGRDUYUs7gwY6DAJQpqiVyibJQgeayUIHGiGwhi0QuoXi9gHT9li/iE0UR3gq8BYvWIlLPO+M/g3Z7u6CGyGP0IFPIKHbkZhIzMGlNvAPlC/tWpC9PrSg15qXS8zwmj6RM+GoJCsgJmBz5/47g0AcPoaWppXxOwTCe//7z+NAnP7Tia1hPaX+1wJw2BoPBWJ8ocYAChJD3UkqfBQBCyEMAgqu7LMb1Qi1OzXqI6gDKjRo5585r8dakiCV1vMHAIOx6u8ApoXqKwcCgZBG6nDOoxEG06W1lQYm8UKjAprct+d4KctGwM/4z2N8qbCmmU+uQzqdFc1BQkfT3XW13YSI+gZHwyJL1VIlcWRQjmo3ycuB6jR5WnbWm+2q5Rm0txryUE93l6sKJyROSTt9qGNxSa/jhkR/iyN8cwSv/9xV8+ekvw6g14rcO/RbGhsfgtXqx77GVffCwEfsIbVSnjcFgMK4HVArGfArAHxFCJgghkwD+EMBvre6yGNcLFcO8kmqk1+gXNRAq4+/tvPeaGBIVo6YiH50r5HBq6pSkPHOXqwupfAopLgVKy+lmqXwKB7YekHxdqj5J7ngpLrUWpwsAaK1rRb25HpPxSZyYOoHJ+CTqzfVorWtVPEc0G5VMdQQgcnaaLE0ooohM4bLceSGDaC6KG903QqvWYlf9Ltzeejt21e/iHZpOZyfu7bgXnc5ODIWGJK8HIQSjkVEkc0mYdWYkc8lyw1IiXbgvRS3XX46FxjwhBGadGWatGcOhYdHYihO9EK1KK/mZAbDstVXO7+jIUf69UmvYf+9+tHe3Y2JkAp+47xP41Xf8KsaGx7B9x3Z8/PDHFR9PKXL3TzQbXfFjrRS1XGcGg8FgrC1KVOB8AN5GCLEAIJTS2vJeGIwluNaparVQy5PoxSJWDqNDUcRB7ngWnQUziRnkCjkUSuXaGL1Gjzva7hDNUSvVUQSNSoNz/nPgihxMGhOSXBLn/OdwW/NtiueUi4bt9OwUpZ+11rVCo9ZgJDQiUM+7e+vdGAoNCcYOh4cFTVoXux6UUrTb25EtZPkIkMvkQiKXqEmJcLmRiFrFPKQipFJrq5zD1a5tseav1fuuq9PhRy/8CHfdehcCgQAAwOPx4Gcv/Qz19fWK9qEWNmIfIdb8lcFgMNYvSlLgQAh5AMCNAAyVp6WU0s+v4roYjGWzGg0yJ2IT5TqUBSxm1Mg5d0qdPjkjyqq34lLkEuaT88gVc9Cr9ai31KPD0SEzkzIke+1MlHvt6DV6FEoF6FV66DV6XIpcEqnAVeao3nc5Q/7NH76Jh97/EKLqKEKZEErJEgZfGMSO+3dAr9YL1POkVO4Wa9JavQ5CCIxaI1xGF5/Kly6kkeSSy1YiHIuO8f+/1L22WmIeyzW4h0PDKJaqRCKMLsnmr7sadqGQKCiadyXYiH2E1ovTxuqQGAwGQ4wSGeyvAzAB6APwzwA+COAXq7wuBmNZrET+vdQcU/EpGLVGeC1eftxqGjVyRlQyl4TdYIdRa0ShWIBGrYFeLe+UKEVKKW0sOga30Y0bPTcK1iBVb7TYvlcb0Se/dxJ/+Ht/iG/+8zdx/PhxQAf0PdSHwcFB/I/s/8BHHv4IP+9CeeVqp0Rpf6loNopGcyO4EsfXEHmtXvgivmUpEfqTfvwy9EsE00GBbPdCoQklzuByjflaDW5f2CfoRZXKp5DIJZDIJfioolVvRberW7Tv8/Pz6OvrQyAQgMdT7q0VCATQ19eH48ePK44CKTXO10v9Xy2sB6eN1SExGAyGNEoiQHdQSncTQt6glP45IeTvAHx3tRfGYCyHlUhVkpqjy1nuf2LT2dbEqJEzouJcHE3WJoHhLueUAMoNzYnYBIZDw0hwCd6xmonPQKWoXHDpfV+49+2H2/HNf/4mBgcHsWtXef8CgQDaOtvw7ofeLZi31hQxqf5Sld41Pd4ewdidnp3LUiI8O3cWhWIBaqIWyHb/dPSn5TUocAbljPlaDFi5vWi2NYuaykYyERx54wgcRgdaba2I5WJ4fvh52A12dDg6YNQawRU5TMQnYNFZROt65plnMDg4iJ07d5adVwB9fWXn9ZlnnsGjjz4qes9yzg3YWKmyQHm93a7uZTU8Xi4bUTyCwWAw1gIlDlClY2KaENIEIASgfZHxDMY1ZyXy76XmaLQ0IlvIKu4Ps1zknnxXajKUUIuh6U/4MRGfgNvohtFgBFfgABUwm5wVqMBFs1Hs9e4VHSuajUKj0gialbbYWpDJihuv1tfX4/jx49i1a5egjuTrz3wdhjqDYOxiKWJSRubff/nv0Xd/H1K6clSDpiiGXxnGXR+8S3TtAIh6KjmMjkXV9BZeDxVUaLI2iWS7X5t4De/c9k5R36Hh0LDihry11pxV78Wexj0YCg2Jrv1waBgOowMOgwMA4DA4oCZqzCXnymmUl3UhdCodklxStK6Kg3Po0CE+2nP8+HHFzk+t57YRCWfCq9LwuBZYHRKDwWBIo8QB+iEhxA7gbwGcRrkDxzdWdVUMxjJZifx7uTla61qXbaDVkpcv9eR7h2cHzs6eBQFZ0impxdBMcAkUi0VMJ6b5CJDL4EK+mEeRFhHNRaFVabHVvhW9Tb2iY6mICq+Mv4JcMce/fzQyiv1t+0Vj5djm2IazibOKHBIpI/PvvvR3+Nrnv4bvfPM7+OyTn4VBY8BfPvKXmL00C0op/vHP/lE0hz/pR/90P8LZMJwGJ3qbxedWofp6nJw6iVQ+hdnkLC+uYNPbEMlE4Av7RH2HAqkAwpnwVctgyxmwUnvxs/GfocspFokYDAzijlahYEadoQ4lWoJWreWV8tod7VARleT9Wu3o1NfXK3Z+aj23jch6cPDWSx0Sg8FgrDeWzGuhlP5vSmmUUvp/AWwBcAOl9E9Xf2mMa4WUFO5GQ06CWumT95WaQ4qVkFLuberFVvtW3ikp0iIu/ugitmi28GPm5+fxxBNP1CwhTAjhm5WCAgaNAQ6jA5PxSQzMDGAyPokOZ4ekwxbPxTERm0ChWIBFb0GhWMBEbALxXFw0dmEdicPlQJ2zDoFAAO+59z2Ihy6PJ5W/yv/whX146vRT+MLPvoCnTj+F46PHRVLD9z54LxrbGzE/No8//7U/x+MfeByzl2ZRv7Ued91/l2gdx0eP45z/HBotjbit+TY0Whpxzn8Ox0ePL3UZAAAttha8OfdmWUxBZ0aSS+LNuTdh0pr4BrIEBEaNESqiwkh4ZFky2HIGrJTscrFURDAtbNtm0ppg1BoRy8WEx9LbYdKa0GRtwk0NN6HJ2oR8KY8WW8uy71cp7AY7/Ck/zs+fx4nJEzg/fx7+lH/TGOfrQbp7tb7DGAwGY6OjRATBAOC/A7gTZbPoVULI1yil2dVeHGPtuRZFs6uhUrQSRdOrVXi92JPhSp2KkqLwgx0H+bHHvn0MT/3lUzj5/ZOimow/+N9/gAc/8qCip8AWnQUqlQrN5mbo1DpwRQ6+sA/RXBQ7PDuw3bUdsVwMzw09B7vBzst5V9b7y+AvcVP9TYjlYnw0pMnahKn4lOhYlTqSts42QTPNkYsjOP3T03j4tx7mx6a4FI6PHsdb828J6laOjx7HB3Z+QHBuzd5mfPyLH8fXP/l1RMNlY9PqsOKJ/3gCVqdVtI5XJ16FSWtCnItjLjUHo9YIk9aEVydexQd2fmDJ62nVW9FW1wauyCGZS0Kr1qKtrg2FUgElWhI1kAWAfDEvTBO0tmA+NQ8AVy2YIJV+aNAYRA5QOp/GnW134q35twAAdfo6XhRiu3s7iqUiopkotGotttRtKc+jNizrfpXCbXLjexe+h3wxDxVR8dGnR3oe2RTKZXaDHf6kH6FMSKCq5zF71mwNG1E8gsFgMNYCJSlw/wogAaCSN/LrAP4NwKHVWhTj2rHWaRur6XCtRNF0LXMoNdoWk1JWmhpVzTve8w7817f+SyQosHPnTjz80YdxibvEH2cxI9pr9SLJJZHgEkhwCWhUGuRKOTRaGwX1IgDw3NBz5R48C9Y7HhvHDtcOdDo7+TnT+TQyBXEN0KOPPoqxyBjuvO9OtDS1AACe/M6T+Or/+Sr2/YpwzysOyTbHNsE66s31ODF5QtCUNZ1Po8HcwEePAECj0kCr0ko6fZFMBNFsOYpWLBWhVqmhJmrFkQhKKe5quwtTiSmBQ3M+cB71pnpcCF5AMB2E2+TGDvcOEBAMzA7AYXCgTl9OjXtl4hVo1BrUm+uvWjBBRVRX5r2cchdKh6BWq5HiUoJr39feh72Ne/Hy2MuYjE/Ca/HikZ5HRA5tl6sLr0+/LhnJkLtfu13dCKaDS34OfBEfDBoDVESFfDEPvUYPnVqHM/4zsuIRG8lwd5vcODpyFA6jg3cyx6PjOLz78JquY6OJRzAYDMZaoMQB2k4p3bPg5+OEkHOrtSDGtWWt8/LXQ578SlCLIyeXlx/PxVFvrle0F6LjadL43FOfw2fe+xmBoEBFktiT8Sgyotvq2mDUGhFKX3lqPRWbgtvghi/i46M6HpMHbwTewN7GvYL1bnduhy/ig0VnWbI2CQAOfuig4H5zup146KMPYSI2AUKIQDwgk8+gTl8neH+HswMnp08KDPxp/zSe+PQTiIaisDjKCmaRUASf/tCncewnx0RrMGlMuJC8ALfJDYPGgFwxh/nUPBxGh0g97emnnhYU/s/Pz+PYt4/hwY88iF31VxzKFFdWXxucH4TH7EGnsxOxXAzD4WFssW9BOBJGJBvh66Tm0/PY6d6pSD2vcv2rHRUKWo7RL/hj1BqxzblNUrTDaXRKSqZXH6uW+zXOxfHsxWfR4+1Z8nNwIXBBUsnwtYnX8L4b3rfhvxOC6SBuaboFoXQI8VwcNr0N7Y52BNPBZUnVMxgMBmP5KHGAzhBC3kYpPQkAhJB9AF5b3WUxrhVrXTS7WQqha3Hk5NKarHqr4n40UsczaUwoloqS61P6FLjL1YVwJox2ezu/NrPOjEAmAL1GD4veAq7A4Y35N0AoQb4kTOXqcHYglAkpEkwApO83vVqPyfik6Mn5lrotmEnOIFfI8Y6YXqNHr7dXYOBPnpjEyMURtHS04Hee+B0USgV85dGvYMo3hR989wf47GOfFe6NyQmHwYFSqYQMzQAUMGvNyOazfN1LOp/Gn/z1n+Brn/8avvrVr4rSDMOZMG79lVv5PkBOoxMOo0PSAH7D/wb0aj1yxRwfpSoWi8gX84quvZyzneJS6PH2YCoxxae09Xh7UKCFZTkOtdyvwVQQxVJxWc5LppCRjTgByprNrgcqfacW9gyjlG647zYGg8HYjChxgPYB+BghZOLyz20ALhBC3gRAKaW7V211jDVnrZv3bRaVolocObm8/OHQsOK9qD5eOBjGY4cfQyQUWVZjSqm17Wvdh1fGXkGukINWpUWukANX4NBkaxKlXA2Fh9DT1IMWW4siQ1XqfvOn/HhH+zvAFbkrjoO9HcFMEMd8x+AyueAwOBDOhBFKh/DY7Y+hp6mHn3PfY/sQSAWw5x17UDQVkcgl8Pg/P47BlwZx4NAB0Ro8Zg/u3HInxqPjiGaisBvtUBM1tGqtwJC/98F78eNv/1iUZrh9x3bse9c+lFDixSMoKGLZGLbat4oM4J+kf4IGSwMMGgNSXAoGTbm+JpKJCNalROygsjYAmE3Mot5cL4pEWTTiPj7A8puQSt2vlVS/hVQ+B9XHa7G1wBfxgZAFSoa5KG503yjZbHYyPimZIljZk/XmGG2W7zYGg8HYjChxgO5b9VUw1g1rXTS7HrqlrwS1GjtSEZla9qL6eMd+eAyjQ6No727HyVdOAqi9MaXc2qLZKB7sfhBn/Gcwl5qD2+TGg60P4kLwgijlCrQsCqD0ab/U/dZia0G7vb2sRncZSil8ER8e6HoAF4IXMJ+ah9vkxtua34ZCqSCad9/79mEoNIREIIFCqQCNSoPWg62YjE3KSorf1nQbb4ifnDopcCSAsrjCX/3rX+F3HvwdQZrhF7/1RZjtZsG1T3EpjIRHJO8Js9aM0cgobDobLHoLkrkkklwSWpVWVKuzq2GXyHGYjE1iq32rYG0mrQlWvRX+pB/hTFgQiTrYcVC0P3JRJLn6HaX3q1qlFjlA6XwaKqISHa9QKsBlLEusLxRd6G3q5ftcVeYdDpcFF6qdvv6Z/nLESWG90FqKK2yW7zYGg8HYjCzpAFFKx69m4svqcT8DoL98nO9QSj9XNeZuAD8AMHr5pe9SSj9/NcdjrBxrWTS7WVSKVsLYqWUvqo/3wIcfQCKXwO9+8nevujGlHHaDHUaNEQ/d8BD/WiUFrc3WhjP+M/yT/5sbbwaldJHZxEjdb1KOA1A+7253N/+6XErRTGLmSkNXrRFckcNEfAIERFTX09vUi2gminAmzKfttTvbsdWxVbQmm94mOlY8F4dHK1T2qjgkqXyK/7lyT9Sb62HRWZAtZPl93GHaAVBgJDwiaOgKQOQ4TMYnYdAY4LVeiSyl82nUGequRJEWRKKkkIoixbk4nj7/NNxGN+9AjUfHeQdKynGovl/fu/29GAoNiRw5tUotOp7X4kWumINNbxPNWxFjWOgUN5obRXt8xn8GNzfefHV1c6ssrrBZvtsYDAZjM0JqNVYUT1x+fGumlCYJIVoArwL43Uot0eUxdwP4A0rpe5TO29vbS/v7+1d8vQzGcllr6d61Ot5Cw3GhUZvOp+EL++AwOPjISSQbwV7vXryr410rfjy1Si2QYwbKjpheoxcZu3/5s7+EP+mHTW+DTqMDV+Awl5pDrpDDw7c8LJh3X8s+RDIRvDz2Mu987GncA1/YJ4imqNNq/N1v/x0uXrgIh8uBEi0hFo5hS+cWfOnpL/FKdgvX5Ta5BfMe2HoAZ2bPYDoxDZPGxO9bMBNEIpfAfZ33CdamUWmgV+sF5zybnMVwaBg93p4lx8rtz9GRo3AZXYIo24nJEzgzewZva3mb4Hpuc27jVdmq901S3S3sE53zSHhEdLyK83pv571L3hOVPkTV53bGfwb7W/eL5n1z/k1QSgVrCKaDknNI7c9mZzPIjDMYDMZSEEIGKKWSRchKUuCuClr2rJKXf9Re/rM63haDsQ5Ya7nZtTqe3JPsgZmBchF/1R+yUH96BY8HQHGUzawzo93RjngujmQuyTcbBYDR6KhAXW5gZgCFUgGdzk7sbtjNO3YJLlGe7PK31okXTuDihYuivkVjw2P4wfd+gI8/8nHBupptzRgKDQnmHQoNwWawwaAxIJQJ8WIFOpUORo0Rxy4dE0hmz6fnsb91v+DcGs2NyOQzImU3Obnq0Wg5wL7Q2JXqUfPG3BuoN9fDqDUCKCvIUVC8NvEa3tn+TuG+GV2yUZb+mX5wRQ42nQ1ckUP/TD+cRqdkVK+SGreUIS4XYd3p2SmadyQ8ghOTJ3BTw018v6gjbxxBa10rbqq/SbQ/tYorbHTnYbFIGLA+66kYDAZjpVk1BwgACCFqAAMAOgE8QSk9JTHs9suy2jMoR4PeWs01MRiM2pFytkq0VFYdi08hll2gOiZRk7MSxwOgOKVop2cnzvjPoMnaxEczhkPDvFFeEW3whcvS3rsbdgsM/GAqCLPOjFubb70y5yM7wRU53Pfe+xDVRDGZncTvff33MPjSIN73G+8TOSRyYgW5Yg5qlVqgtHdm9gyi2Sg8Jg8azA1Ickm8NP4SPCaPpONQZxDKgQPSdWj+lB9T8Sk0mBsExm69uR6nZ08LlPYm45Nos7WJ5o1kI/BFfDBpTHzfIl/Eh2whK7pGAzMDGI+Nw2FwwKwzI1vIYjw2Do1KwztnlXOeTc6CgECv1i+ZklaLU3xy6qSoXxRQdow6HB2KxRXkaojWulH0SiN3X9ZaT8VgMBgbmVV1gCilRQB7CSF2AN8jhOyilJ5fMOQ0gC2X0+TuB/B9AF3V8xBCfhPAbwJAW5v4FzSDwVh77AY7coWcWHVMJ606thIojXr1NPUgnAmXm5xeLrC36Cxos7fBqLkc4dAYkS1kMRmf5GXEKwb+cGQYW21bBXOatCZsuWcLQqoQTIXLY9VZ3HD/DYhn46K0PzllwEwhIzLmVUSFOkMdbIZyjZHNYANX4vhIR+W96Xwa/qQfFBQGtUEkYCASDwgNo8spFg845z8nkuje37of/pQfDdYGgSqby+CCiqgEkaFsMYt4Li7a98HAILQqLWYSM3x9k01vw1R8Ch/d81HBOTuMDkFK41KS2UqdYrPOjCZrk2BMnb4O/qRftJdy4gpya9gMfcvk7sta6qkYDAZjo7OqDlAFSmmUEPISyopy5xe8Hl/w7+cJIV8lhLgppcGq9z8J4EmgXAO0FmtmMDYiG1HlSmrNwPJScZxGJ+7puEcwh16jRzwXRyaf4Q38Ei1LV1cb+CaNCTPJGUGPI5epbDQqdQYWUwasNuafvfgs33eoUrOkIRoYtAaRge8wOgS1PpW/g+mgaGyrrRWNFrF4wGxyFrsbdgskulusLTg2egzFUlGgyuYxecr7VhDum1VvFZ1zikthLDqGfDGPAi1AQzTQqrUi1ToAiGVjcNqF13SxHmBy93b1Xr41/xZiuRgf+QFQ7iX14jg+9tsfQ1QdRSgTQilZwvnnzuOu375L8Ro2Q98yufsSgOI+ZMDGTwVkMBjXN6vmABFCPADyl50fI4CDAP6makwjgDlKKSWE3AZABWDj/CZhMNYRG1HlSmrNx3zHQEHhtXiXJW0sFTEIpAKC2huv1Yskl0SJlgQGvllrxptzb0Kr0kJFVCjRErRqLVpsLSjSoiJnoBYHscPRgfn0PHKFHF+zZNFbUG8S92+KZqNot7cLXqsYqlLnXF3r4zK64LV4RUawVq1FX3sf6vR1gr0cDg0jkA4glA7xqY5eqxcek1D5DijXf12KXoKWaPnX8jSPBnOD6DpPxadg1BoFTpicdHwt9/aBrQdw5I0jAMCn9/34Wz/G819+Hv3P9uOL3/oi4rk4Hv/Y4xgdKsuRf+Thjyy5BmBz9PappZ6qcm7VnzG3yY2h0BBLl2MwGBuW1YwAeQF883IdkArAf1JKf0gI+RQAUEq/DuCDAH6bEFIAkAHwIbpasnQMxibnWqTnLFeIYTg0jGKpKFl/0+nsBLBy0sZdri6EM2FB7U0qn8JtzbchV8wJDHydRge32Q29Ro98MQ+9Rg+dWocSLaHD2aHIGajFQTyw9QC+MfAN5It5qIgK8WwcWrUW92y7Z1mOg9vkxvcufA9ckeMdOZ1ah0M3HsJ8ah4AllR263J1YSw6hkw+A0opMvkMUlwKd7TeITpeKp+Chgh/rWiIBlPxKdG92eXs4uuylnIQh0PDiGaiODF5QiASIXVPdDg7cHj3Ybw89jIm45PwWrz43H//HHwv+nDxwkV8+OCHQUAQCUXQ0tGCnQd2SvZfkmIz9PapVWSk2dYsugefvfisZGolS5djMBgbhdVUgXsDwM0Sr399wb+/AuArq7UGBuN6YiOm50zGJnlJaEH9Td1WwTi585ByoOQUyhYz/F70vSgw8EfCI+hydaFYKqJQKkCv0cOmtyHJJaEmapETVUnbq0apg+gwOtDl6sJQcAhxLg6bzoYuVxdCmZCk4/DzyZ+jWCzyY7vd3XjfjveJ5r0UuQSDxgBCCArF8nno1XqEM2F0u7pFctUARKpswAJlP/4vaaW/VD6FTkcn8jSPTD4Do9YILdFiOjktSq9qtDQiW8iKxCOkHMTBwCBOTp2ETWcTiERki2IhBqDsBHU4OwSvffFbX8SHD34Y0VC0vOcuB77y7a/A5DApWgNQvp5S+1Zr1PNap47VIjIi9WClWCoimA4KelGt9+8aBoPBWMia1AAxGIzVZyOm58RzcVFNjVljvtLQ8zJy5yHlQFUUyirpW1LNOxcSzoRFBn6ukMNEZAL1lnpY9BZwBQ6XIpbxYtwAACAASURBVJfgtXgXfXp+tUbtcGgYDZYGaFQaQc3RhcAFkQx2vpjH4PwgjBojuBKHaCaKbCGLu7feLTrmYGAQTdYmgfORzqfx+vTrmIhN8A5XPBtHkkui0dKIRkujIJpWUXDLFDIo5ArlGimtSdLJ9Jg88Cf98Og9fC1TPBdHo7lRMhWvIvqwkCeeeAKHDh3iG/rOz8/j2//ybWy9ZytiXAxzqTkYtAYQEIyERxQ7FPFcXOS4GbVGxLIxyQa3UoQzYUlpc4fRoeh6r3cJaqnPh9SDFbfJjWBaUKq77r9rGAwGYyGqa70ABoOxMnS5upDKp5DiUqCUIsWlFo1OrAeseitff0NBkSlk4DK5oFKpFJ3HQgeKEAKj1ggVUWEmMcM3z3QZXcgVcjg1dQq+sA+npk7h6MhRnJo6xRvPjZZG3Np8K+5ovQO3Nt+KenM9ppPTmI5PYzg4jOn4NBK5hKTCXSQTkTxWOBNWvA8TsQn4wj5eopsrcvCFfUhySb5AvcLxseMgIOhwdmBPwx50ODuQK+bw3NBzio83HBrGaxOvoYQSGi2NKKGEFy69gIuhizDrzCCE8L2TXp9+Hb6ID1yBQ52+DlyBgy/iw2RsUjRvb3MvnEYnSrSERDaBEi2VjerWfTg9e5pXnIvn4nh14lVMxiYF+/Ynf/0n+PSnP42+vj7Mz89jfn4efX19eOEfX8Cp755CNp8tC0/kswgkA4hkpfe++jpfHL+Ixz/2OCKhCBwuBxwuByKhCB7+4MMYHBtUfO0WRkMW7tFwaFjxvku9v3+mf9n30GpRebCyELfZDbVKvaG+axgMBmMhLALEYGwSVkKUYK1pq2uDUWsU1NTsbtyNXCGHkfCIKM2o+mk/IUQkYFCipbIEc1XaTjwXx7MXn0WPt0fw9D3FpUQqZXZ9WeI7X8oDFMiX8tCoNCCESNdD1CClDIjToPwJf9mRq5LotulsGAmP4GLwIp/udm72HG5pvgV6jR4AoNfo4TQ6MRgcFB1nh2cHzs6eBQG5Im2djSKai6LD0cFHPmx6GwwqAwYDg7i/637+/SatCYF0AFa9VZHyXW9TL6KZKMKZMPKlPLQqLZxGJ+zGcuH8QtltzswhX8wL9u3eB+/Fj7/9YwwODuKGnTegREuIhWNwtjnR/fZuJLgEZhIzsOqtsBlsSHNpRdf5S//yJYwOjUo2sZ39xSzMNyu7dstNM11MgrrD0aEolXOtkap7UhM13rv9vQimgxvmu4bBYDAWwhwgBmMTsVxRgrVGSpig0iCzOs0IgEh5KpqNotHSCK7ICUQJfGGfqOYkmA6WGz1WOSqziVlR6mCumEO3qxv15nqk82mYtCYYNAb4k37sadgjrodIBQWiBEvJB1c7UbPJWVj1VhjUBoEjpyIqnJo+hdHIKN9XJ5wNI56LC4xNrsjxztNCept6MRWbEjhQ293bYdfboVPrBGPNOjOi2ajgtXQ+DbfJjbnkHPqn+5HKlx3L1rpW7GncIzqe0+jEwY6DolSu16dfh1EtXF++kEdelRe81uxtxh9944/w++/7fURC5TRIi8OCg392EEESRL2mHh6TBwkugbnkHNod7Yqu84c+8SGYtWY8/NGHEVVHEc1G8dX//Cq+853v4IO/8UGB3HmLrQWZbEby2tkNdvhTfoTSIUGqopQIBiB2dAkhkmmqKS4l2Ww2kA4AwLLS4pZbc7TYg5XqOquVOB6DwWCsBcwBYjAYV81qGFdyDTJfHnsZnc5OoSDA5TqfHm+PQJRgh2eHyNCsqIctxKQ1waq3ihpkqlQqtNpa4Ta7eYcknU8jwSVEBnet9RBSReVtdW1IcSnoNDqBRPePhn6EydgkGswNMDlMSHNpBFNBnPWfhdPghEVvQTKXRDgTxgPdD0gez6wzo93RjnwxD61aC7POjG5XN8bj43ATN3RqHbgiB0IIvFavSBGtxdaCF0ZeKKcYaowo0iJGI6O42SvSuBFc04UQQjAwOwCHwcEb+JOJSWxzbBPt21xyDsVS8cp7QZDMJ+F1eWHUGBHJRmDX29Ht7EaBFhRf54MfOghPvYcXQXC6nbj/w/dfWZehvK6B2QHc3Ch9bm6TG0dHjsJhdPAS2+PRcTzQ/YCkeES1oxvJREBA0GhpFOyxVWcFCARRtlAmhNHIKDocHVctNb1S0vhytXNS/btWS4p/MztWm/ncGBubzXxvMgeIwWBcFatlXB0dOSrZkLHSvHMhjeZGZPIZkYoXIJb0VavUMGgMouambXVtvCNVmeMd7e8QSWN7rV5YdVaRwe02uTGVmMLr068L0r4OdhyUPF+pNKguZxd+PvVzkbrcWHyMd3QAwKK3oMPZgV8Gfwl/0o9wMAynwYne5l70tfeJjjUcGoZZZ0a2kEWhVBYwMOvM6HZ3I5aLIZPPIFfIoUTLtUCHbjyEQqkg2Mt/P/fv0Gq0IJSgUCpAq9KCEorp+LTk+Un9wiQgZYGJBX88Zg+yhazA4Zr2T+PLj34ZqWgKJrsJoEAiksBrf/Ea9v/RfhzoPXDFIS2kYdPbyvuwIOUuV8zBbRY6QOl8Giqiwou+FxHJRHhncCI+gWKxiEg6gkKpAI1KA71GDwoqeR7BdBC3eG9BKHMllc9tdONHIz+C2+jm1zAeHYfD6BA5ul6LF7liTnS/JrkkZhIzglTOudQcHCbHsqSmV0saX+6zr1Fp1vR4m6Hv0GY+N8bGZrPfm8wBYjAYV0WtxpXSJ0lyanZei1cy/aitrk3yeNVyxXsa9uDViVdFT+8P7z4scsIqX/zVDsmBrQf4dLzK65W15YvleiEAoJf/IXXOUuenVWuxw7NDVPek0+ggpTht0Bqwv22/wOGSYiI2gZHQCOJcnDfwbTobOl2deKTnEZGcs1RK01xqDiaNiS+Ep6AwaUyYS82Jxsr9wkxxKXQ5u3Bm9gwfobnZezOKpaLAGZg8MYn5sXnUtdSh9/Fe5Io5nP2bs4hNxjD7+iwmuyev9AHy7IDL5LqiGHh57xstjeWi/KpIVjqfxnhsHA6Dg3cKJ6IT0Kq0vJwzIQR6tR7T8WlEMhGBszQWHYOaqOEwOER7/MvAL9FW18aP9Sf90Kl1eFfHuwRjK2p61ferVC2cw+BAm61N9P5apKalnO0fHvkheg728GuYn5/HM888g0cffVR2nur7OJ6LS372z/jPiFQLV0Ie+1r0OFsrNvO5MTY2m/3eZA4Qg8G4KmopCK+1YalUQ8Y9jXvw3NBzkg6M1PGq5YoHZgfQ5eoCV+T4p/ft9nYE00GR4b9Y3YPD6BCl7DVaGgUOTYpLYWBmQCA1XenXc/fWu0VOlD/pBwUV1T3tcu9C/2w/L5CQKWQwFZ/CzY0349bmWwXHk/qlNJuYxXhsHG6TG0adEVyRw3hsHGadGR03invlyKFVa9FhvTK2OuWvwnBouJwit7CY3+TCTGIG2UIWrbZWdDm7yv2eQsPY5hSmwD38qYfx09GfYrZ1FiqzCm6dGz1/2IOLr1yEdb8VHrMHnc5OxHIxDIeGoVPr4LV4+aa5lb3IFsX9hf7t3L/BrrcLhCZURIV4Lo53bnsn//5INoLzc+fRYG0QOEvjsXEUi0WoVWpBKt/xseMwqA1QERWseiu4IleOSBXzimXppWrhwpkw9Bq9KGLpMXmu+mHCf/6f/8Tf/snfov1f29H3Sjli2NfXh8HBsoCGlBMk99m9vfV2wbhK1HY1pPg3Yo8zpWzmc2NsbDb7vckcIAaDcVXU0neolidJcs7HcGhYlH4k58DINW/MFXK4qeEmfhylVPbLXE5QQmnK3gu+FzCTmIHL6EKjpRHJXBKvTbwGu8GOvvY+kROlV+tF+7PXuxfxXBzzqXmk8inoVDo0WBrw7q53i44XyoTgC/sEUZ3x6DjS+TTO+M8gm8/CoDXAZXQhySVFY+UiQJ3OTpycPIl4Lg6LzoIkl0Q2n8Xexr2isROxCcwkZmDSmviaGl/Yh2AqCKvBKkiBSxfSuBi8iHpTvcCw9r7DC21KC5CyGIXVZcW2d22DWWvmJbQr194X8WFL3RbRXkhFWYCyczSTmOGFLQgIsoUs3gq8hUKxAI1aA6vOilAmhO3u7QJnieopzsyeQbuzXXAeSS4Ji8UiUOXTFXTIl/Ki2rJUPoVmW7Nkz6jqe/7tW94u6fBX6o2u5mHCHe+6A23/0obRoVHs2lVOFQ0EAti5cycOHTok2i9A+rPkNrlx1n8WbpNb4Jzt8OzAbHJWEDlzGB24p+MeybmVUqv4RC1c6xqHjdi/jXF9sNnvTeYAMRjXKcv9xS8XqanU4Cyk1idJcg0ZGy2Ngu7zcg7MajZvrN43FVFJ/pIYCY/AbXIjzsUxl5rjG4i+OvEqPrDzA4qcKIvOgs+87TMCR6XOUCc6t3Q+jSSXxDcGvgGuyEFFVAilQzg5eRIatQZmnRl6jR4lWsJ8ch4WnQVH3jgCh9GBVlsrYrkYjrxxBA90P4BCqSC4J3Z6dqJQLODE9An8MvBLeCwe3N58O3Z6dor2YjYxKynnncwncXf73ZiKT/EpXm6jG9lCVuT0RXNRdDo7kSqkeKdNQ8oS5Lvqr9xblFL4Ij7Fv6Cbbc14fuh5uIwu3pHzJ/1XmrFeTjXMF/MwaoxIcSnMJmd59T2bzgZKKLqd3Tg9exrBTBBuoxtb67YizsWRK+T45q9ckUOrrVXk1DTbmkVKhgudl4X3xKmpU5IO/zn/OdSb6xVJZlc7Vo2NjXjh2Au469a7EAiUFeY8Hg+OHz/ON56tRuqz1GBuwHd/+V3c1nybyDmLZqKC/axuPns1yIlPSEV/a2E91DjU8j26Ulxrp4+xMbgW9+ZawhwgBuM6ZCV+8dfSd2glniTVMofUWLfJjUg2IqoNqeXLXGrfIpkIKCi8Fq9gXkIIAqkALHoLTFoT8qU8opkor/Sl9Nw6nMJUtcoaAOEvpaHgEKLZKNymK8puCS6BIorocnVBq9YiX8wjkApgJDSCHZ4dfD2Lw+BAikvhGwPfwN7GvYJi/g5nB2aTs7i58Wbe+JxNzuIW1S2Sct42nU0k5+0xeaBVaQUOzPHR45JqbY3mRmSKGdSb6nmHYj41j1Zbq2BsOp/GDs8OySiL1DWt09dhS90WZItlh0yj1sBj8cCgNmCbfRu/3kg2ArfJjTfn37ziLOWSGI+Oo8nWhKHwEFrrWtHlKqfyzSRnoFKp+OavWnW5JqvSFLbaqVEaCZVz+E9MnSirEVZJZmcLWUURy/n5edGYxZC6N+dSc9jbsFcUkTvnP4dOZ6fgfpVLzwSUG+JS4hNy0d9aWA81Dmvdv209OH2MjcFG7C34/7P33lFy3PeV76eqq6tz7sl5BoEARYAIlAQSJEWbImkq2bL01np0WAftvmOug7w+cpDWWbJ91tba3ueVj+SVrbembC9lBUo0VxQkgDQoASQCAZIYhMl5pns6p6qu6np/1EzNFKqHAkyCgqW+OjhzOOqprvp1dff3/u73e+/1oEWAWmjh+xCv1xf/teYOvR47SddzjKbhjeJrD29stm6dwc6mMydfH/86Y5kxy8ENoKpV6Qn3ND3fqx3Ktmod2upL6cuXvoxP8rFSWbGUE6/kpaSWzHBYpYzkkugN93IhdYGIJ2I7bqaSYTI3yYGuAwQ85tzLVG6KpdLSlkrE1bbkA5GBpnbesiQ7iMpWrnz3D9/PC/MvUKlXqNVrNGgwEBlgT8ceB3ldv/eu5Qu6YTQ4PHCYucKc9Xzra7D5fA90HeDk/En6o/0ommKRpf5oP17RS0Wt2FzjEt4EakNFb+iU6iXCQpj+eD8Huw86zuF6lNCtSDFgqmxXBdMuFBeattZtxsrKCvfddx+pVIq2NrN9LJVKcd99922pAjV7L6UraQ71HbJtPhiGwbnlcw6nxlebCzwyfsTm4Dedm+b+kfsd53096u+r4WrCNZOfYSg6dE3neyPxRua3XVm9gt7Qb8rQ3RZuPvxbyxa8HrQIUAstfB/ijR5ufD12kq7nGNcb3nit2Grdms2c3NZxG6vVVRRNQUEBIOaL2WaQNkPY6Bmy//c1QkAwXc58MUtx0g2dsCfMYHTQauXySB4q9Qp5JW9zNBvLjdER6LAV1gYGZxbPcGffnY7i89zyOeK+OEcmjljtYNvjplX01e5562TgWmZcHtnzCIPRQb4w+gXmC/P0hHt47673MhQb2vK1v5Yv6Kg3iqIpNhWqWq9axMz6nV4lIAfYHdnNmcUz5JU8SV+S2ztu54WFFwi6g6i6aq65ICCLptp2ddbSVudwPcYIzUjxtvg2CkrBZpldUkqsVFaQXbLNte7tI2+3vT8ef/xxLly4wO7duzl69CiwYYLw+OOP84Gf+UBTReZqR8Vdbbtwi27b+a67IV7r9Z1aOMVUbso0mthEuL85+U36wn3f0TnxehXkZsrHXGEOn9tnCzFeP+6NahP7brefzeZnmS/OX7OC+P2I7/Zr1MIbgxYBaqGF70N8N4YbX4+dpOs5xo3Yubqeddvdthuv5GU0NWqzbr46/BNMYtAZ7GzaOrSeUbT+ZZz0J5vOkST9SaZz06iaiiRLqJpKWA4juSTivjhD0SHySp5sNctP7v1Jjs8cB7DIR7Ve5UDnAce5+dy+ptcsCiJPXHqChD9BR6CDklri6NRR7h2816GGNSMqW824jGfH0Rs6D448aJGolfIKQ7Gh19RG1UzJcLvczKRmmC/MIwpmG5vsktnVtsvR6nY5c5lavUZnsJO+yEY73pnFM5Q101xhnQhGvVGurF4h6U/ardg79zJVmmqq9F19HUl/sikp7g33OjKqNEOjoBaYzk9bytRSeYm4L25TEddd3t7//vdbas/Ro0ct8tNMkTnQfcDhqLhUWuJK5gp1vW67jmY28VuptKOpUaLeqI1wl9QSX7n0FQ71Hmp6Dtdy3K3QTL3dHjffW2E53NSo4ur32I7EDtKV9L+6ML4Z2s8KSoFqvUq2mrXMQLySl4JSeM3H/l4gDjfDa9TCG4MWAWqhhe9DfK8PN94oXG8bXqaa4f7h+22P3Z7Y7njsVsrSVG6KTDVj+zJ+4tITbI9vd7Qv+iQfu5K7GE2PMpmbJOwJc6D7AIOxQQLuALOFWbqCXTy8/WFG4iMMRAd4ZuoZ6/c/9qYfY7m8bFMWckqOw/2Hm87ZYJitYx6XBwEzP0eWZBYKC9ySvMVxjVu1H12tLD03+xwjsZFratHJVDN8cfSLDqvxH9n1I45ipZkqGPFGiPliKJqC1tDwuDx4JA8LhQVcosvMFtr0z+f20TAatjVaLC2SKqeIeCIbRHDyKNO5aRRdsRlNPP7K40Q8EXK1nHW+sksmW81yeuG0jXykq2k6/B0msVoj0BFPBAMDl+CyqWzfnPwmsijjElyW3XmmnOGF+Rc40H3Atu4f+JkP2Namvb2dRx99lKfHn26qyCyVlhiODdteD1mUTaKq67briPliTZVXwNGeB05XvqXiEtlqFpfgsp1D1Bd1qFD3Dt67ZUHarBBv9h7rDHZS05ztq83IUkEp8MSlJzjQdeBfXRjfDDNHgiCYnw9ymKDHnG9bLC3SEex4Tcf9XiEON8NrdLPje4HoQosAtdDC9yW+14cbbxRerza8q7GVslRQCrQH2h123ulK2kYc1h3kQp6QaWKwtisvu2R2Jnc6AjmBpuYK6y1XuWoOt8vNQGSA+4bMvJirr+PM4hlGoiNcWr1EvpYn4o3QF+5jdHWUu/rvcuycn1o4ZVM+0tV00/ajslpmPDt+TS06RyeP8tzMc02txn90949u+Zqs48SJE3SHum0OfJV6hTOLZ3hw5EHOLm0Kbu3cx0xhhpH4iE190Rs6CV+CsMd0kwt7wqi6yrPTz/LQ9odsRhOjqVHGMmM8OPKgRaDSlTT/++X/beULrRf+5xbPUdbK3Jq81SJWx6aP8dbet/KeW95jez38kh+X6CJVSVGtV/G5fbhFN7P52WsuSpspMgYG3579thV+u/56nFw6SUEpcO/AvbbrOLVwigdGHmgaKnz1OUS8EZ6detY0mlgrxM8snWFX2y4WSgsb7nueMKfmT6E3dEdOFuBQZICmzyeJUtP3WF+kr6kBxdVkKV1Jozf011QYfzdyVa4uVotKkaHYEIqmUFbLBD1BEoEEhmG8puf5XiEON3v2zRtNPpop06/mZPlvCS0C1EIL36f4Xh5uvJG4Eeu2lbIU8oQc9thb2XkH5SA1vUaPt8fmaHats0Tr7VJbfblefc0hOcSF9AU6g530R/pRdZUXV16kP9TvKIKevPwkNb1mCxbVGhrnls4R7re3H4XkEGWtTK6Ws80tNWvROT5zHL/st1uNy36OTByhN9zruI6rv8xLasmy7N4MQRC4krliD27NmMGtV6svgiCQ8CdMG+w19z1JlCirZYfRRL6aN222ryIZT409xT0D99gK/2w1y2p1lbJaplArEPaG6Qp0MZYZc5yvT/bxyvIrCIJgtfIZhkFXuItcLce3Z79ta8PcqihtZv1d02sO04Wl8hJBd9BxHaOpUQfZ3qowLtQK9Ef6UXSFkmIaTQQ9QXONwnWCniCqpjKRnUBraBzuP+xQZP7+5b8n6Uva2uVivljT56vptWvOZWq2IbG+fptxvYXxG9163Ix8LpYWkQQJzdAwMKhpNWRRJuQJvabnytVySIJkMzXpDfVS1aqv09W8MbiZs29upMrWjFiBczPhiUtPsD3h7ED4t0Z0oUWAWmihhRZuCK7ny+rVwl8ddt6B5nbeXaEu4r64LWvnQNcBtIZ2zed8PeSuJ9zDi0svougKbpcbRVcoK2W6e7ptj/O7/VxIX2B/535bPlB3sJt0Je1oP1oqLXFq4RSaoSEi0qCBJEh0DDlbdLLVLNV61bQal/3U9TrLpWWytSxnF8/aDAEOdh90qFDleplCpoAoitbsjEfy0B/pt4Wdrv+LeCIMx4ZtrVjVb1WJ3xdHEiVKagmjZDD2L2MM3jPoMJqo6BUHKQJQdbPQj3giVuE/X5wnVU4xJA4R8UYoq2VeLL6Iy+Vy3FfrAaENGhvX4fJQrBU5NnWMsBymI9hBSSlxbOpYUzWtN9zLk5efJOHfyEmazk3THeymqBRZKC5Yx1Y0xUEGtsJWhXFRLXL3wN02V758Lc9Ufsr8wzVBoq7XERAcGwFTuSkurlykL9K3MfdUWkJ2ybyl5y2O5zMMo2ku0zNTz3Apfclq5duZ3Nl0lsklukgG7Nf8aoVxs4LyjW493irE9kL6Au3+dmuNFV15zQW+IAicXjxNzBuzlMLTi6e5vcsZmPx64UaoITdze/iNUtm2+q6SRKlpoHi6nLYp9zeTQnY9aBGgFlpooYUbgOv9smpGPpraeQvN7byvrF5xuJyV1TJBOciNQFAOct/gfRydProRkNp7CJfgsj2uUq80VVnAXJOrr7moFE13NUFGa2jIooyBQVEpOv4+7oszVl2zGl8r5pZKS7hdblyiy1KbpvPTTGQnUHTFmvdZV2mWy8v0hHoQEVEaCoZhMBAZoD/S7yCT2WrWZgjw2P98jK/82Vf41he/xa988ldIepJ87Fc/xtLkEr8Q/QXmg/NMZac2DBYEma5Ql2POaiAyQFEpUlJLaLqG5JIoKAWC3iBBb5C6VifoDSK5JCYzk477qmE0aNAg5ouZ6yCY81RLxSV6I71W2GvYG0ZtqLy0/JJD9Qh5QpaSV1JKuF1u+iP9eFweFF0xlUTDNGJIeM0i6ZXUKzbieFffXY7XSBAE/mXmX2zrPpmdJO6LO7KhpnPTYJiW5UWlaLVhGhgslZZYra5apOb5+ecp1c0w2/XjukU3daOOqpthtOtEdzI7yZ39dzreY5+/8HmOzxw3WygDnZTUEsdnjhP2hvmBoR+wkaV373w3l1cvX1OO2KttflzPLNNrRa6WQxLt5FPTNWjgyL4yeG0tcAJC002D1yMItxk2t+y+mvPh9eL1ag+/EeTs1drzXsvzbfVddXbprOM9/XoFit8MaBGgFlpooYUbgNejl/x67Lzf6J1LURBZLC9yqPeQVUjNF+dNJeiqIvFw/2FeWn7JVpTKLpnbOm5zFOIltURYDhP2hq2WskKtQEktOc7Bshqvb1iN64bOzuhOm9pkeAy+fOnLJLwJMtUMFa2CX/LToEHCn2Bv515bFtFKacXRulPVqo6ZrId/+GG+9HdfYurKFB/7vz9Go9GgVqgxvGOYR//9oxxfPW4zaLhz4E6CcpC6XrfNWfkkn6l6aaZaV9fqCKKAR/Tgl/x4PCYJMRoGdb3uUEO0hkabv42uUBc1rYZX8iKLMicXTiIJkq09T9M1ZoozpkK2qXVMEATu7r+bueKcTTk5OX8Sv+y3tVbqhs5UbgpFU2zEsZnDYVEpcmX1CoIg2MjZ27e9ncXSoq2AdYku9nXvYzY/a4b6upMMxgaRXTJnFs/YLNMvpC4Q98VJ+BMEpAD1Rp10NW0SaMy2xKDHVLKWSkvcpjjt55+beY64L24jiAYGz808x/t2v89BzmO+2DUVxlsVlOsKpKqbDo2qrnJq4RQxX+yGtDCJgrihyngjlpthb7iX2cKsbb7ttc4ANYwGB7oONFWgbwQZOL1w2rT939RWO52f5vTC6ab5adeDrZTw8cy4g7w2i1W4Ua1qUW/UsRGQ8CXwSJ7X9HxbfVcBNyRQ/GZBiwC10EILLdwAvF695NfalvZGG1sYGFTUCrlqzmG6cHVbW7aa5YX5F6jrdURBtAaw5wpzpMopWyFuYDAUMy27S2oJv9vPUGwIURQd57C7bTdel5fR9IbVuCiKdIe6HY9dKa+QrWaJ+WJmJpCuMJWdwiW4bCqEYRikyinOLJxxZBT1RfqoN+q2HfXf/sxv8+i7HqWSM0NKg7Egv/6pX2dGm2F7fDu3d260AJXVMjW9ZjnBrReDXxr9EruSu6hpNcsRba4wR1krU1JKLCgLhD1huoJdeN1ex30Vkk0z+0757AAAIABJREFUhvZA+wZpVAr0hftoC7SZczZqySoUXaLL4bTmlbx0BDocCmJADvCm9jfZCtu+cB8CArJLtqy/d7ftJl1JWyRh/frOLp4lIJsEZbNSM7Y6ZrrLZSctghj1Rnl5+WWr9aasljm3dI47eu5gf/d+VisbluntgXYrGHazyFCulxmJjTCVmzId5DxRRmIjzBXmHAXsUnGJoZg9CFV2yWRqmS1nIq4FWxWUx2eOI7mk171o36rgrtQrDidDAYGJ7AR9kT4C7oA5i7d8jjv777zmAr8ZmuVsldUyDaNxXcX5tZKlC6kLRD1Rx0bHhdSF61rLa32+8cw4j51/zObq+Nj5x3hkzyOONXq9wmavPjdJlBwbAdO5aXa376bd3/6vbo3b6rtqV9uupgHWrzVQ/GZBiwC10EILLdwAfDd6ya9nhue17soWagVkl4yimcqLYRjILhkMp2HCldUr7O3YayMqdb1u/X5zIe7CRd2o0xO2mzmMhEccalEzq/FnZ56lWCtyIXXBRsxkl4yIiCRKCIJgFuIuNzklZzvXSr2CYRhsj29nND3KaGrUNA9I7iJdSTt21I9NHKNhNKy/FxCYLcyyMr/CgyMP2o69VWhuyBOiqBZJ+BPWNd/afivHpo4xEBlgR2IH2VqW5fIyv/TWX3IUJf3RfrwlL7P5WYu0dAY7edct72I2N2vLgToxd4JbErfw/Pzz1loORAfQGlpTk4Bdbbuo1u1q2FxhjrySJ+qNWurLRHaCqlZ12La/svIKPaEeW3ZSvpbnldQrSKKEKIgE3UFEQeSVlGnk0Bfuo67X8UgeZJfMpfQlHhh5wDZ3cDJ6konsBA2jQVkpI7kkEr4ERaXIcnmZjmAHfdE+VE1lubxMpppxFLA5JcdkbpKR2AiyJKNqKplahoHIgKNoPzJ+hKJaNLOPNhH2+0fut+7x9fUUBKFpQZmqpNiV3PWai/arsVXBPVeYY3t8u83NMOaNcW7lHJ2hTptCduGvLjB45yB93X30hfuYW5zjFz/7i/zFb//FlirH1e5gV8/YxXyxLU0pTi2ccmwEQHMHvxvlMJapZrbMvrraXfCZqWfM69nk6gjwzNQzjvV5PcJmm5Haby1+ix2JHSi6spGdFhtiPDPOYGTQ9vfX022w1XfV+rm+3oHiNwtaBKiFFlpo4Qbg1RSZ10o+Xo+/f62FRkEpWHMj68jWsk3d2mbzs6xUVmyuak9deYqQJ+SwPK42qgxFhmx23AlfAr2ho2jKd5ypuLP3Tr588cukyinUhoosyrQF2ugMdqLrOrqhU9WquAQXPcEe1IbqaOcQBIGp/BRaQ7N2yafyU5TVMnW9zivLr1BWy4hVkSc/+iS1fI1QzHTRKmaL/PUv/TXv+vi7qPRfmwLYH+nH5/bZ7LWH48OEvWGWS8sslhZpD7Tz4LYH6Qp1UVbLfObsZ5gvzNMT7uEHh37QnNsR3bQH2mkYDQRB4J7+e6AfW97TUGyIscwYUW+UuC9ureXezr1N51MAizis7zqfWz5HzBMj4Uvg8/pQNZWZwgyrlVVGYiO2Yrct0MZsYZayVrbmm9yim5JSYr4wT71RR2/ouEQXE5kJ2oPt7G7bbVuz0fSoo/WnK9hFqpJiubRsFYPb4tvYHt9OQS1QVIqW4mQIBkpdYTA2aCtg7+i+g+dmnwPDNKKQXTLtgXZ2JHY4ivbZ/CyjqVHag+1Wgb9UWkIURfOxm95L2WqWklpyBMW2+duu6b11vdiq4E6VUyiaYnvfPXHpCYajwwTloDUjOPH0BF/40y/QOdTJR//nRylWivyP//Q/mJ+YJ+aL8Xd/9He252tGHNwud9Pg3nwtTzxq/0yp63VOzp3k3oF7be9nl+i6ZuVkV9suXlx8EQFhY56ulrsu04VTC6cc2VcXUhd4cflF+sP9NlI0nh1nZ2Kn7e8jngizhVnHcQtKweGcWNNrLBQXHJs4W33eNmuj1Bs6Na3GbR0b7ZyGYTCeGW9KuAVBuKbn+07dA2/UptobjRYBaqGFFlq4QWimyLxW8vF6kJetZhROL5wm7Alf0xfYumqxeaC/YTSa2uk2KwjUhspsYZa+SJ/N8rgr2OWw484rebwub9Nd5KvzYZ6deRYDA7fLjaqruF1us73L30FFM4uC9ULcMAz6In2MZcZsRf/Y6hiXVi8hIFhF9EJpAbWu4pbc6A0dn9vHxSMXqSxUiPRG+Nj/9zEA/vDn/pD5iXkWTy5SPuBUVLYKzZ3OTVOtVzEwqNarrFZWuX/4fhthMgyDb899m5NzJ0n4EwxGB8nWsjz20mM8tO0hYr6YbZapmXVztV41TSYkGUFc+ykIZKoZm8HDetaOJEqO9rOkP2kpf+uz87Ig89wXnuPQzx2iLJcpKkWMssHsN2ap3V4jJJv3RV2ro6IiCAKLpUUEBHRDxyW4zKF9l7Ms8bv9jtaf+eI8mWoGwRBwi25UTWUqP8XtHbcznZ82h/0xi22Xy4WiKw4Hvs5gJ2FPmP5Ivy1I1zDMWavNrY6vpF4hXUnTGeok5AmZYbPVDN8Y/wbv2PkOW9HucXlYKi2ZbXCbyMDO5E7GM+OOon04Pty0UG1WUGarWQdJ3argrtQrSKJEtpa17vl6o45X8jIS29jBDzwQ4Ol/eJqlySV+40d/AzCJfPdwN32H+rgazYjD2cWzDEWHeNvQ26zHldUyn/qrT/HQux9C9+vWPXH0q0e563132YmOP8HZebNd0kHkKikA2zoc7D5IrpojU82QU3K4RTeD0UEOdh+85kJ8NDWKqqs8v/A8uWqOqC9KXa+zWl1lKDJkU6ar9SoLxQVrxjEgB/C4PITkUFNDkas/G4tKkaJabLqJ0+zcmrVRbmVAsLttN0ulJRshlV2mecyEPnFNJhFbdQ9s1Qra7HfN1LT7R+6/aUlQiwC10EILLbyBeK1Wpq+HFWqzL9d6w9yVvWfgnmv6gm6mWnSFuprucjcrCNwuNy5tzTFuk+VxUA46voy/NvY1x+C/3+3n7NJZ9nXus63FTG6GbC3LzsRO2zyMz+0zXdB01bLX1hs6g9FBR9E/mZ9ktbwWMrpGXnK1HJlahoPdBy1SseMndqA2VIK3B5HDMl7Jy4f+6kP8y1P/wqOPPuqwzH41x6+iWrTNw7z41RfZ/WO7iQ6aBCiTzvDPX/pnsrdlSfgT1jkk/UmmpWmen3+eB7dttNz5JB8XUhe4lL5kzV5lKhkupi4yEhuxtY71hnupaJVXdYLa3H52fuk8JbVkWX/73X7mvznPyU+f5NGvP8qHP/VhvJKXj3/w4yxOLLLvZ/bR944+a76pK9TFSmWFTDVD1BvF6/ZSq9dAMAu6q13yOgOdDMWHbCSsYTTwSl7a/e1ohoYkmErP2OoYezr3OArVi+mLDlvy8cw4/eF+drfvthXiE5kJJrITNkvny6uX6Qx04pE8AGZ7niYznh3npaWXKKgFiyxna1minii94V40RTPzqdx+ZEkm6U/abLd7wj3ka3nS5bTDtv3qwMkvjn6RK6tX6An32OZQYr6YOSu2yao8LIdBwHLxWydiXaEu0tU01fqmjQt/g0f+5BEe+/nHKGZNt8VQLMSj/++jhGLOAr9ZaK5LcDGRnSAZSFprefpLp3nsjx/j6X94ml/+5C8T9oT5+M99nKXJJapalff+1HutVtLxzDizhVkGIgO2DDC9oTOZNdsUr/5cOtB9gGemnmG1ukpXsIsD3QeAa2+jWymvcH7pvGVCUdWqnFo4xWB00JFxtVxa5pmpZ2zKcsQb4f6R+x2W+3Ff3PHZ6JE8eCSPg/RdWb1C0p90fE40m8vZyoBgR2IHT6ae5IWFF8hWssT8MYJykI5gBz2hnn/1vFkzp72XV14GcLSCukSXgxRP5aascOSbES0C1EILLbTwBmKrAenJ3KT1/7/aruXr4S7X7Mt1/Yv4WolVM9WiolbY3uccFm9GlnYmdlKoFRyWx80MDLYa0gUcpgSrlVUUXWGlvGJzRGuIDT544IO2QiPijdDmb3Nc80JhgYHoAPVGnWq9il/2E/FGWJ5f3nBVW5sZueu9dzGdn2Zsdcwqat/14+9iODbcVFEBHPMFpxdOs1pdZVtiG17Jy1Ofe4qn//vTnP3KWT79+KfxuX38x/f/R6auTHHgZw/wzkfeaVufkDvEuZVz1iyPJEpM5iZZKa3QoEHSl7TIoOySSVVS9EX6KGklIlKEpD9JUS02JZnra7157bvD3UxkJ+gJbcxpNd7W4PgXjrMytcJv/V+/hWEYVPNVwr1hdty9g95wr1VEhTwhMMxdZ0EQqNVNY4becC8NwySmm13yREGkM9BpI2FfvvhlQrLZKriOar3KC/Mv4HP7bPNUlXqFA92mjTlgqUizhVl2Jnai6qqtEE+VUw7lRHbJlOtlK5h13cxBMASm89Mk/Ul8sg9VVy2VZ6G4YJG+/kg/I3GzPXAoNmStxUxhBk/VQ3e421aorpRWGIoP2Qrmc0vnkETJMYcymZ0k7DGd7DZn+2CAIJpqU1kt45W89IX7WCmvoBu6TTnZF97H/2r8L2sttYbGZG6SQx2HHKpFWS3TaDRsobmKpjBfnOf2ztst0hg9EKVzqJOlySX+6JE/wsCglC0R748T2x/j+bmNObSuYBe1eo0XF18kp+Sse1VraNzafquDOJxeOI3W0BzvL5foumZ1u1avIQiC2b4nmj9FQUTVVMdn0GJpkaJSRBRFZEE2XTBLi5xdPMvbR95ue+0kUUJraOZno2F+Ns4V5hAROb90nnK9TMAdoC/SR2ewk0w14zBXeMeOdzBVmnLMVDUzIDg6eZSTcycRBIGYL4ZhGJycO8kdPXewLbYN+M7zZs2UnmZOe9+a+xZqXTXJ/ab8reXSMjuSOxwtzc3CkW8WtAhQCy200MIbiGbF/FJ5ibnCHB2Bju+4a/l6uMs1G3pNVVLc2Xun7XHfiVhZ2SHGxn9nq9mmAZCZaoah6JD1fJlqhr0de1Ebqq3fvy3gVJC2GtLtDfc6TAmy1SwVrULMG8Mv+6moFRaVRfZ27GUkPmIb3t1KWfK6vYiItPnbbFbcPeEe2oJtKJpCSTFd1dr8bRtuZGtYd9q6uhArKAWeuPQEB7oO2F7ns4tnzQJ6bTj+rofu4tjjx1icXOSnH/ppGkaDfCbPzl07OfzQYRZLixgY1Oo1vG4vi+VFBMNs7VsPMV0uLTObn+VN7W9ipbJiPbYn2MOJ+RNEvBE8Lg8FpUBeyfPwjodZKi9ZoarrhWYzJ6jecK/p5JbZIH07e3bym3/9m3zkfR+hnFt7fNTPXR+9C1fQhUfyoDU0PJIHAYGgJ0jSn0RraBbJWFcuZJds7eof7D5IupJ23PPrTnaboeoqCX+CkfhIU2VysbjIp09/moXiAt2hborPFbn93bdb664WVI7/83GS9ybxS35G06OW4hRwB8jWsiT0BBiYeUOaStgTRhZl23mUlTJL5SXr/MpqmYXiAplqhrsH7mahuGC1J87mZ+kJ9TiMEb41+y2Kqtk2tV5oXkhfYCA8wHh23Coy23xtZKoZOoOdNkKarWUpKkVGU6PoDd22bge7D7Kva5/1Ho3qUd7zQ++hkq/gCXvMDY18lS/8+he49+/vdZAJBLMNDgFLTV0oLNDub2cit0EQvUEvP/3ffppP/swnyWVMs5FQLMS7P/5uXsi9gF/x0zAaiILIZfdlcwZQr+IW3XhcHhBgubSMV/LypvY32UhqWTXt9a8lu2YrddsQDPrCfVS0iqWGCi8IFPcWrYwrJa8wdnyM8u3m503Mv6Egnpg5wURmAt9O+2t3KX2JzmCnTdGdzk+TrqQJuANgmG6FC0XT3fHWjls5v3zeasPrCnXx3MxzBOWg7Riyy36frePIxBGqWpWYL2ZmYTVMdeb88nm6gl0WCY94Ik3dNLfKVBrLjOGX/MwX5q1jLOZN63rJJdnet1PZKTRDM9/Pa6+/JEoMRYeanPHNgRYBaqGFFlp4A9GsmL+yeoXt8e3XpL5cr7vcVv3wVw+9vqX3LbhdbtvfvhqxurJ6ha5gF9vi26zfLRYXmxb4b+l9i+P51oMlA+6A7Tqa2Q3HffGmA/rj2fGmVtySS0JySVTUiukO5k/QHmh3HDfqjTYt+g90mnkmM/mZjbatYBfvueU9zORmbK5qLyy8QFfAXIf14jNdSbNYWuStvW+1qVNFpYje0B2vc6qSss3qROIRfuWvfoXf/bHfJbtqqhZtbW08e+xZXi69zO8/8/sk/Ali3hiZSoaprNnbH/SsDbZ7gnSHurmYvshYZgwELKOBldIKIU8In+SzdqI7g52IiByfPm61yzWMBm6Xmw8e+KAj/+Zg90FOLZxCdsnWugfkAIvKomONRUFkIjeBIAgICBgYuAQXw7FhQnLIFpDaMBqEvCHHrv6OxA6Hw1hvpJeV4gqFWsEifZlqhge3P4hLcNnIdrlepqyWeeylxwjIAW5tu5ULT13g7GfO8vI/v8yP/9cfRzM0Hv+1x0lPpzmQOUD7fe0kfAn6In1U1AqX0pcQRZFMNWORou2x7aiGSnuonenctFXAVjVTFRUEwWrvK9dNS+9KvYLWMOeTCkrBPC6izT4aIK/kmSnMkPRtKEsTX5sgfXuaxvYGmq5RL9Z56ltPse9d++gMdnJs6hgr5RXaA+28bfBtTOYmUXWVYq1oZV+FvCEMw7B9rvzlX/4ll0YvkehP8AO/8wNU1ArH/+A4mZkMn3/88/zIT/2ILRuqolao6TXKatlSamr1GqJrrbhe2xBxu9zk6jnUxoaiohs6ZxbOoLpN8igIAoZhUKqXWKmssDu5m6gvahXyy8VlFouLdrUo1PWqiuXVhhnpchoDgyMTRyziuavNdOMLuoOoRZWSVmLh6QVe/uzLBHuC7PuTfYiI/OOv/SOZmQzbHtlG93u6WS4vo2iKSeQFgVK9ZCOkYU+YmfwMqq7iEl0E3UHL4KOqVU3Vc+19oDU05opzGIZB0BMk7o9TrVd5eellEGBPxx7bMS6nLzOWHXMYNMzmZon6ohZBkl0yUU+U6fy0ZXRRUkvM5Gd4eMfDDrtzURRZKa847NnHVscIySHC3jBBOYiqm3ObWkNDFEQCnoA5M1VZJa/kmcxOWs6ODaOB1tAcNvM3E1oEqIUWWmjhDUQz8tEXNlshNmMr9eV68n6+k2HC5iJo/bHrz/2diFWzVrx0Jd20wF8ncv/aYMmtBvSXSksOK+6YL4aiK+gN0+3NL5jtR12hLsdxk/4kXxv7miNX43D/YeaL82au0NoO93pQ6NWuav3hfqvFDzZmBs4unuW0y65OnV06y47EDhsp6g33kvQnydVytuH4glJwKBzra/qeW97DNya+wfnl87QH2rmt8zYi3ohtsL1SrxDwBFgsLZLwJ6zXdKG4wHB0GNklU6lXkF0yITnEibkThOUw6UraRozGs+Mc9B20ncNEdsIqlLSGOeNSL9b5s5//M8q5Mr6Iz7SCzlX45u98k1t/9VbcSTearuF2uTEMg4Q/QWegk0vpS5TqZvit5JLYFtvmaHf6s7/4M4YPD7PUWKKgFnBVXCw9v8Q977uH+cI8S+UlwnKYw/2Hec/O91j33Ob76mPPfAxFU2gLtOF2ubnlnlu4+NRFsjNZPv3BT2NgoBQUEv0JogeiZuukJJt5R5KMZmgUy0W2xbeR8CUwMMgpOYJykNGVURDAK5kZTSuVFboCXZayGnAHaPe38/LKyyT8psq5XuC7RBevpF4BsNa9K9hF1BOl0WgwX5xH0zWufO0Kk5+bRPqGhPCrAg2jweX/dpnaYs2c83nQbFMbiA5QUkocmzpGvpan3qgT98fpkXqoalVytRwr5RXb6/noo4/ylUtfobGrgSfsISbHePvvvp0XjrxAYW8BVVOttrbTi6eZL86bAbJy2Jq/KqtllkvLBOWgRQTVvMpnf+WzVHKmsgRQyVW48CcXGPrlIdo62qx2sUKtwEp5hf5IPxWtQqVeMef2PGHGc+MUlSIxX4xCrcBccQ712ypvS76N3u5e8zNibUbu8PsO85XLX2EyM0lZKxOQAigNhbgvTkAKIAgChVqB6fw0A5EBRlOjiIKIR/KQPJjE/1U/pfkSn/v5z1kte33b+thx9w5rxsnj8qBoCgW1gIDAldUrG4tpmKGwsksm7AkT8oZMe/VKBkMwLJdGl+DCZbhYqC2YToKbPjMr9QoT2Ql6w722Y7yy+golpQS92JwI12fnPJLHuq8aNGgPtCO5JEr1EpJLYiAyQEkt8enTn7ZmIVcrq5xfPs/bBt/mUCHzah4Dg2K9aKk9iq4giZLZRrm2qWI0DOqNOpIgWYRWEAQkwdyEulnRIkAttNBCC28wmjnuXE9b27Xm/VyPYcL1Bqk2a8Vr5jr2am10r/U6xjJjdAY7bVbcBaXATHGGnnCPbVaj2VqmK2n2d+1ntboxXD8UHWIqN8Xh/sOOxPV0Jc1bet9ia6P78xN/3vykBZqGUF7OXCbui1uk6PTiaW5J3sJcYY5np58lU8vgV/wc/4Pj5DN52trMlsBUKsV9993Hhz75IQRZ4N23vNsiS2cWzjCeHTcd7tbbj1xeekO9dPm7yNQyFGobRhBLlSX6tf4NG+yFkxSVInva99AX6bO1/T079axJajeR6G9OfpOwHCYZSFrX8bV/+hrp6TTJgSQP/O4DFJQCx//gOLnZHNnTWVjfCDZAFmUqagUjYNiWbLW6ykR2grZAm3Xcv/3U3/JPf/pPtA+28+FPfZj+QD8f+6WPsTixSNQb5YP/zwebzs1dfV+Nro7S7m+3dskjiQi3/9rtnPjICWqFGgBySOatv/lWFJ/CQGSAslamUq/gdXtxCS48bg87kxtWyOlKmtn8LD63z9rVFxCQBZmiWqQj1EHcF0fRFVKVFIIgIAqirXj0urxczF40Q3LXZta6w93sTO6kVCuRqWWoalVCt4fwdHpQlhRe/r2XwQCtpOHv9iPcaobSrrcXrucnrVZNW/JMNcNCcYGQHKLN30a6knYYG8TuiVlKBECyPcnA2weYzc/yxYtf3FC94tvJ1/IMx4aJeDdc9abz01zJXDFbE3GRU3LMfH2G7GyWaF+UB3/3QXRD58jvHLHuidnYRm5Vh7+DmDdGVa+aradrM3bPK8+b80GNGqlsipAnRObZDM9/+nnGnh7jL/7+L2wzcvPFeeZ3zlPXTRJQ1+rMFE0lbTA2SKPRQBRF9IbpStcb6mUsO0ahViDsC3P3R+7m+EeO28wgPvHYJziROcGpxVOomkqjYaobsmiSHAyswt/AJA7d4W67YYZLthSgddKXqWbwuX3ka3mL6EouiaA7aAZN1yvMFmattZ/Pm7bxoiBuEKtqhrBsmrvMF+YtRU4wBH5w6Adxi27ytTxJf5I9nXt4euxpDMEw5wLX1rhcL/PS0ksMRgdt7xmPy4NhmEqVgGBmc7nMFsl1l0VN10zXTdHNtsQ2VF3dmL1cm5u7WdEiQC200EIL32XcqNDU6zVMuJ4g1Wbn7BJdJAN2AnS980nNsNV1gLnbutk1TEcnIkcYjg7b5iGseaWrjtsZ7LSpQ4ZhcG75HHs69jh+32zddrft5uzSWbPdaZNzWV+4jwNdB5grmqGhIU+I7fHtvJR6icnspK1lr6gWWSyaWT+dwU7OPHGGpckltu3cxnPPPgfAfffdx4ULFzj2z8d4y4+8xbZb2xZsYyo/haIpiIgoDQXDMOgJ9ZDwJSioBavQLNaKLFeWySpZVqurZjGo6xSUArIk24s2SWYsM8YDIw/YyGej0bCMFNbP4d7338tcYY4dd++go72DHZ4d9P3XPp780pP0/ECPtf7G2v/mC/OEvWHL+KGm1fg/Y/8Hl+CyCK1P8rH/B/fz9X/8OitTK3z0/R/FMEylpm2wjfY7nG2NWyEsh6nVa5ZSB5Aupx2PK9fLuH1uqlrVIkyqrqI3dKKeKBOZjRkXn+yjoBbY37WfqdwU+VrenK0666G2o0bGnzELxLJB/kye+D1xNENDMASLIM8WZ1F1sx0s6o3SMBqsVlcZXRk15yhckll0hg2C/yGI9gkNrWgWn3JY5t7/ci+zjVn2tO8hVU1RUs3ZtD3te7iYvshKeYWoL0p7sJ1KvcJ8YR6f7DOdyza1UQHUtBpzhTnLljxTyZCv5UmVU6ZCpikUlSIRbwRVU00zkLX1yVQyeCUvXpcXHR03boYfHKZSr3DPD91DxVOhoBQ49JFDnP3GWcp7y1S1qkUMLmUucd/gfXhcHiYyEyi6Yl63YBDxRgjLYTr8HVS1KvX9dRL9CWbGZviJB37CdDTMldm2cxvl7WVEUaQr0GURjYncBLOFWdPWfk2x8kimipPwJ6zZS0mUmM5Po+r2lr2TcyeJJ+P87L6f5ej0UVKlFF3hLtoD7QTlIF0h+5zNkYkjqLp9faK+KFRB1VRUzOMHpAB94T7K9TIlpWQRBwEBv+Tn/PJ5ot4oYU+YslpmtjBLZ7DTYfDicXtoC7aRKqWsdfNKXqr1qtmq5jZb1c4tnWOmMMPejr229/lAZIDJ7KTNGTBXy9EVNK9xs6NivppnVVmlI9hhkXgASZRQNZW6UcfAVIQwaGpqc7OgRYBaaKGFFr7LuF715VrxehgmbIVm57w+13O1TetrJXJbXcdIbIT2YLtt4L072E08GUeWZIt4HOg6gGZo13zc9cHha1m3A90HyFQztuDWgciAZau7GdlaFrfoZq4wZ3MHOzl3kt1tuy1Xr73/YS9xf5zb77udSXWSXC3Hnzz2J7x09CWGHxjm3PI5Ts2fslqmRFFkb8dedrXtsilWE9kJalqN7mD3hlsbZlaTpmuIooima7hEl7kTreRZraxaRaLkkvBKXsesRcwbY6owZbdSNhrse9c+2gKm2cBUboqoN8quh3dR1ar0hnutHed0Nc1qbZWoJ2ojcklfkqncFBFPZMMxLhji8EdcVY8RAAAgAElEQVQPc+TDR6jlTaXGE/Zw66/eysXKRfoX+x05J+DMKXlw+4N87vznAAh7wqysrDDxFxMYZQNvxAtALV/jzB+f4c2//maIwfNzz1ttVF7JS0eow0bkKmoFj8vDTG4GvaHjlby8/OTLXPq7S3g6PQx9ZAjN0Dj7p2cpL5TZK++ldq9pAY8BmqCRrqRNww6Pn7pmZvT4Gj6uZK8wEhlhobiAqqnIkozRMDCMTUTeMFUoX8DHUmmJxdKidc26rtMV7LJmVdbn4XR0s3AVXDa7Yp/kYzo3TUEpWDMui8VFk9S4vZZZgaIplNQSAGcWz1jqRE2vkfQmTWLXAETwCB7Cd4W5WL2IpEi4RBcloYRxwEBqSNS0GnWtjlty43V5ifqiJH2mTfhqdZWEL0FEjpj3r9ss6H1uH73dvfT9cR//8Og/kM/kzfdyIsrv/e3v8YmXPkFIDFGsFS276obeoKatOb4J5pxjSS1RVsusVlaJ+WIEpACFTIETHztBvVhHDpk5OpVchU/90qd49C8fZaB/gEfbH7WW/7MvfhYREUEwPcbXf/ZH+8Gwr09vuJeh2BA+yWebK5wtzHIhdQG/7CfkCaEbutmaKsmEPCErWNcjefC6vWRrWWbzs5tuAcPKTts8y3gxfZGXl1/mluQtBD1BSkqJ5fwygiGg6qptIyAZMPOFbKYmyZ20BdpYKi6haOaGiqIpBDwBgh6T9K1vBIRk8/NmOj9NSSlZ6x70BHkwuWHNf7OhRYBaaKGFFm4CXI/6cq24UcrSOpqd87XO9VwPtrqOewfv5fLqZYe73GBs0KbelNUyQSl43ce9+vfN1i3uizuCW9cDK9czWtbni84tnyPqiTISH7F2htPVNLOFWQ71HrId977338eJ+RPcrd1ttp5JFW57520sl5eZyE5Y80K6oTOTneGWxC22QXrDMMxhfMOwhUUmA0nCcthWUIK5E1xRzaBYDKgLdVRd5bb22xxkMOqLst213UYyu0JdpMtplkvLRH1ReiO9lNQSk7lJEr4EuqFTrBWRXBL94X4z9+cq+Nw+tIbZUoNgFneKrjgetz7HoVVM8rZ5cPvo5FG0huZwtLqn/x6WCks8M/0M47lxys+V0Zd1Qj0h3vmxd+IW3TzxkSfIzeZInU6xe3g3SX+SkG4Gm64H6663A2kNDcMwiHqizBZnafO34Xf76TvUx4tfeRFlSeH5//I8GFDJV2gfbGfn3TtRPSoLxQXLlU8QBPSGTqPRQJZkqzWrWq9S0SuEPWFEn4iSU8h/Kk+j3EAOm218akFl9BOj3PNb9/C1ia+h6ZrViiW5JB4aeQiv5KWoFq21WCmt0BXscsys5Wt5ikoRr8tLyBOirtWpaBW8ktc8t7X7VdVVNENjsbxISA4R98apN8x7RXJJlgHCOsFrCOb8nMtlKgUulwvVUPHLfnpCPZZiEfaEOT1/mp5wD0lfkqTPVJLHqmNM5aboi/QhIFBWy7gEF3EpbhEOwFJNZEFmubxM1GuaAii6gtIwldFKvYKOjgsXIqJped1QLVvw2aOzVBerSB0Sd/6XOxEFkZMfP0lhrsDJr53k7l132z4TQp4Ql1KXSFfTVgukYRjs6djDqcVTtvWpalX2d+4n5ovZbK1nCjN0h7ptxDMRSjCVnyIqR9EN08FPN3QkQaLWMNWZzQoymK1o45lx0tU0SV+S5dIy3eFuuzFKuJvznGc6N01RLVrtcrIo0x5o59zyuQ3i6Y2wI7mD6dy0RboNwzCdB9dm2NZb64ZiQwgILJWX8Erejc+gJqr7zYQWAWqhhRZa+B7FjVKWruU5b8Qxm13H1YTrelSo6znuq61bs2u+snqF/d37beGdbf42R+EvizIel6dpSGdXoMsx93R+6TwhOUTSv5HtU1bLzBfnbcet1Cv0R/rZnthuI2fruUlhOUx3qJuSUqKgFhiKDCGJEoulRdMxbC2wdHtyO4ulRRuhcLvcVobJ5jVuD7QT8JiZMOvuUzuTO5EEiVuSt9iMDYJy0GH8UFJL9IX6bO2Ls4uzHP+D46gFFW/Ya9p/52uMfmKUQ795yDG4fWT8CJ3BTmp6zdqhXi4tI4kSw/HhjQJ0n5u/8fwNPW/uwRP2oBkaD/7ug0x9e4rhtw/TFewi5o1Zu/WXM5fJV/O4BNdGjku0j/HsOH3hPuoNkzAEY0Hu+I07eP6jz1PJmQPgoViIX/jLX2BcHceHj6gnap3bYnHRcsITRRGtoVGr1/CIHstKuGE0yJ7Noq/oSB0S7/r4u8CAI79zhPxcnvkT8/jv9FPWylYR7ZE8pCopHt7+sG2WLVVO4XP7HM5l6WqaN/e8mUw1Q1EtEgqEmC/Noxu6WXQrObxuLx7JtE4figxxafUSC9UF4r44PaEe0pU0QdncaNAMjbpRNxWbcC+6odvmniRR4raO26z7NVvJcil9iYQvQdS/4QIniZJpH71mIx/2hOkRevjcRz9HbjVHLGG+Z7KrWT70yIe4/cO3s9pYNUNh12ZqBEHA4/agN3QMw0AXdNO0wuVF0zQE0ST9vff3Mp2bpv2Odm4ZuAWAvj/q46WjL9F+X7vDibIz1MlUdgowycF62Ox0bppdyV0sFjcUuZ3JnQTkgM1+fHtiO18c/SJhOcxAdMC2FuvKbNKXtFoSV0oruAQXUV/UIroNo8HZr5ylkCngi5qzaCvLK5x8+iTveOQdDmOUuC9OppKhrtcB00xhqWRatsd9cRLeBHpD5+nxp8lWsgS8AfO61v4F3AEWigvc0X0H2+LbyCt5rqxeQdVVDnYdJK/kbe2Ac4W5pp+ZNwNaBKiFFlpo4XsYN4KQfDew1XW8VhXqeo57PcjVco7wzvNL5ympJdwutzWrMRQdIuKJOEI6V8or/OjuH7Ud0+/2k6lmeHP3m23zHnf23clLKy81JX3NriPpTzKaGmW5tEzSn2R/934ms5PmTr3osgWWFpQChmHY8kh2JndyoPuAI5CxrJa5krlia5mJ++KU1JItFLKslnnHjndweuG0TZ1qC7Tx5u43U1ALlrKUO52jMFegfbCdn/zET1KpV3j8w4+Tmk5RerEEh+3rPlOYQRIlIt6IZR+drqQ5MnGED7zpAzbb9sh/ivDU+FPEfDHT7c/fYPD9gxTUAqlKyrRJXrP/TZfT1PU6w/FhizisD4m3+dt4KfUS2UqWmD9Gd6jbkbcyGB1kfnUet8ttZgetkdfB6CDT+Wnqeh2lriCKIm2BNrxurzWALgoi7W9rp6JWaL+jnXA8zEp5hR/6/R9CGBWY2jaFx+VhJDFic1W7snqF8mDZtvYhT4jl0jJul9uyR57OTSOLMh3BDgZjg9Y5T2WnGMuOUVHM9rmKUkHVVQJygLHMGBFvhM5QJ9V6lZm82QZoYFjKQtKXRECgN9xrG47vCnWRqWYoq2V8bp+pdmkVqxVzs52zgEBWybLPt4+4Nw4CvPjUi6xMrdAz0sO/++N/x2p1lSc/+iSTlycZOjNEbF+MfDVPXTBnnGRRxu/2E/VGLcVJwJzD6gx3mhlaa22f7fe245N9G7NQoou++/vAwOFE+dhLjzEQHWClvGLNfw1GB3lm+hl8bh8dwQ76In3WJkXDaDjeiyPxEc4vnUdWZXySj6pWpVwv0+ZrM19/QzPVNExCGffF8bpMVS8kh1g+tsy5vznH+NPjPPT7D+Fz+Tjy2yYxftbzLAd+8YBtNtEwDPZ27jXbJdfc+uan5qlqVRpGw1oft8vNseljvHf3e81g2DUTF62h0R3sJuwJbxjHxIb4xsQ38Ek+5gvz5JQcUU8Ud9RtmWrcjGgRoBZaaKGFFr6ncDOQvmbzRd3hbi6kL1DTaqaSsfbznsF7GI4N2+y1f3jXDztIW6VeoSfcg45u29nN1rIc7D6IR/J8R9K3Hkp7//D9NrIUkkMgQF+4z3bcl5ZfIuwJ2/JIZvIzjGfHHQnvEW8ERVdsLWyqrm7MEAnrP8zE+vtH7repU8PxYbPY2oQHPvAAFa1C/ECcvu4+Ip4IPZ/s4ctf+DJv/eG38srKK5aa4pE8lktVqpKyWvzcomkXfPUs0/bEdmp6DcMwbPlSnzn7GdLltEXcfG4fqqaSU3KUlJJJHJQSC+oCfref5xeeJ+lP0tnWSSqV4qu/9VVq+Rr+iJ8GDYrZIr/2E7/GT33ip2hLtFFQCxZ53d+5n85gJ0E5aGX4HOo7xDcnvkmqnKKm1yxVZ+jtQxgY7OvaZxHl7GCWsctjBMQAbtGcb3GLbiRRoqyVzUJ/09p73V4SvgQrpRUm1UkCsml37nV5yVQzJIUNZdEtuYn6oigNhYJSwOP2WOG1V1s3CwiEPCEO9R3aIIiSOR+VrWat1spKvULEG6EvbLa0rVZWCbgD7EruomE0qGgVPLpZgNf1OulampAcwu1yW6/zvnfvw+f2EdkfYVafRfbKHPrIIWZPzNL/9n4zmFbAeu2enXqWbDWLLMn43D50w2w5jPli7EzspKhstAgOx4dZKC1suJyhUW1U6Q51O5woDcNgLDPGjsQO+iP9qLrKSmnFahPcbDRQVItkqhk+c+YztnvtbYNvo1ArMJ4dtwjFSGyEpN9UfjLVDBXdzHAKu00jj6AcNE0t1ArlvWW8XV5K8yW++qGvWiYhsb4YkX0RxlY35np2JHewXFw25/waGl7Ji9bQWK2uomqmUYNf9pvrXk5TN+qWq+B6iHFVq+KX7O8jn+RDFESOTR8j4TPzyQpKgWPTx3hkzyOOz6CbBTeMAAmC4AWeBTxrz/N5wzB++6rHCMCfAw8DFeDfG4Zx5kadUwsttNBCCy28EWg2XxT1RpEEienstLXT2hZsYzg2zEh8xGavvVUu03t3vZcnLz8JbKhF2WqWR/Y8Yvv7rbBV219JLbFQXLA56jWMBkvFJbSGZuaReEKm41c1w6n5Uw4CZGDgl/z0BHusY7y4/CLDsWHu6LnDelxZLTfNhhrPjDvmpqZz0/zGr/wGsCl/qaOLP/yNP+Tp8adRdMUczl8jXp3BTqZz08R8MXNHvV5lobpAMpBsamyxu223gyx3Bbs4vXCamC9GSDZVsHQlzXB8mIAcMFvg5AAJf4JzS+foCfUAZsG9eHKRykKFQHeAH//TH7fCNBcmFpg9MUv0nVG6QxumFAYGbcE27u6/2/Y67+3cy9cnvm7O5Mgh6nqdvJZnf9d+++57dIjn555ntbaK2+XeaCesl0h4zfynqlZFU8y8pkajgWZodIe6N4bYPSF6I72MZ8btDmwYDEWGCHg21mx9pkw3dEpKyeYAGXAHbNdWqVfY1baLl1detuXy9EX62N+1H4/LYznRxX1xdrXv4utjX0fRFJS6AoLp8jgUHUJ2mfNRskvGLboR3iwQCobIq3lWtVW8fi+7HtrFXH6OPZ178Ek+i8iFPCEkUbJmbcKesBnCisBgdJDR1Ci5Wo6kO8nutt0IokDCn7DN9cR9cep63Zbh5RbdGzbPawRTNVR6gj1mlletYBkQHP/8cdruaGNX2y76wn3MLc7xi5/9Rf7zL/1nREEk4omY6pcoIwoifeE+VqpmLpLltFfNUKvXyNQyLJQW8Epekm1J9n14Hy/+zotU86bpSiAa4If/8IdZNpYZig1ZaxySQ1S1qhVYut5at+4W5xJdCJgq8DphncxOWkGoJbXEcskkUG5pg5BOZaeoqlWSviRFtchKeQW/20/Sl6RQK3zHz6TvFm6kAqQAP2AYRkkQBDdwXBCEpwzDOLHpMT8EbF/79xbgk2s/W2ihhRZaaOHfLJoRjag3Snewm5qvZsvrmchOOMjLq80nRb1Rm1r08PaHr4n8XH3szVgPc93sqNcV6uLE3AkrYwbW7LE1mVQl5TiuYRgO6+++UJ+5I78JW1mxpytpx9zUUGyoaf7SybmTHB44bHO+SvgTHJ04StATJFNZ2zl3+Ql5Q+xI7LCK1e80G+Z3+3lzz5tZLJqzT1FvlFvabkESJXrCPbYCHwFuTd7K5aw5d3bbO29D0RSSB5Mc3mX25936t7dy7J+Pccd77qAj2GFzDNyV3MXB7oOOdsLF4iJ39d1la1WqqBXaA+0Os4vbu27nYvoiJbVErppDlmR6Qj0MRAYYz47jl/xWkOlUbgq/28+dfXdax8jWshiGwW0dt3HZddlSDFaqKwxGBhFF0TJtcItu9FWd29puY7G0SKaaIeqNsqdjDwE5gOySbffPZGaSrlAXcV/cptT1hnvpDffa5mEA9IbO5fTGOeTiObSGRkWt4Jf9VNQKOSXH/8/enUfZnZ/1nX8/d1/q7lWlKu3qbqlX5LatdtvGGBsMBBwWJ3YmwUAImXGcsRNmDjAJyWRCFhJgEiaTg0OcBDjkhJDQbAFMcGymsVnadku9qtWL1K29JFXV3bffXb/zx711u0pVJVVJqkVdn9c5dfrW7/7ur557vyX179H3+T7fQrPArvgupsamRrNF1VaVRrcxWGs3XFMWC8bYn9zPXGOO+zL3jW7kK+0Kh9KHOJ0/zUR8YrSe5WzxLN9y6Fs4lT/FXG2OibEJPnjgg1yoXODEleHGxsPPstwukwwnuVC+sKSr4/7kfg5lDo3KTM/+j7M884vPkPlChq/7f79uSRlns9vk/R99P/FQfEljg26/y/7kfqqtKtVulYAvwNTYFPlmfrBW0AE2aD99//j9POueHY1n3/W5WLnIwwceZqY6M9qfLRVOUWoONsIN+AZd+Xr93qghhNf2RseCviCpcIpD2UNL1vRlo1nOls7S7XXfLKGsnR9tKbAwqxTwBYgGo8s23d1ONiwBcoO2EbXht8Hh1/UtIb4b+I/Dc79iZmkzm3bOXdmouERERDbD9YnGV77yFaYT00tKsRqdBqfmTo3aN9/o9Quuny26ExZK4xZ31Kt36tybuXfUoWqhjXW712ZqbGrZNdKRNK1ua8kNerPTXHbeai3FS15p1NRgQTQQpeSVVjz3+jVWzjmcOcL+MP6on7RLj24Sp8amli1i/8aD37himWAynCQXy7EvuW+U7Lw8//KgY9Z1N/jnS+d5vfQ6u+K72JccrPcIvDvAruyu0fVS2RTf+fHv5GLlIt937/ct6xgIg+RvsYWEbl/qzRhOzZ0iEFh629boNEYllK/Ov7pknVa9XQdjSce3aChKo91YNtNXb9d5dOpRHp16dHTtolek5JU4kjvy5ua4rQpHJ48S8Ac4OnV0NFN3uXKZw7nDy35/qu0qu8d2L/udv1S5tGyNG8BHHvzIks8n/UaaF2ZfoNgqMlOdIRqKDkrihk0Sil5xVCK40JWv3WuTi+W4J3zPoLlILMP7DryPQrPAtfpw3dv0OwZ7PcUnl2yEfGT8COcq53jP3veMPp8r9Sv4zLekGQAGkUCEdrfN3uTeUfKykJB0+4NZtonYBAc/fJA//c0/pXixyL/5oX8z6GZXqpPbn6P3QI/dieWfz8vzL/PwxMO8PP8y5dag29p4bJypsSkm45OjhKtb7fIL/9cv4FU8wsnBZ9AsN/naP/sa8X8YZyw9WINT8SqcL5/nSvUKqUiKfCM/usZkfJIuXdKR9KAcNpJgKjE1WEcXiJKL5EafxfNXnue+7H1LZkJ3J3bzudOfY19q35Lum/ON+W3dCW5D1wCZmR84AdwHfMY599XrTtkDXFz0/aXhMSVAIiIim2S1GSe/z8+fXfgz2r02Va9K0D8oVzq259iyaxzOHeaLr3+RQrMwKrsJ+UODm6U1dOXzme/Nf2WPDP6V/cSVE7x96u3Lzl1tD6doIMoD4w8s2bwx7A9Ta9WWLWJ/Lf8amWhmWRK0kHTkm/nRTNZjux/jav3qshv8o1NH+fK5L9Pqtgj6g6PNL8PB8JJrlltlpsemlyW1C6WO8WB80O680+Crl75KOpJeNiP3+J7HOVM8w9OXn15SOvahez/Esd3HliVWf/jGHy4ra0yH00zFppYlcq8XXl+2RurorqN85dJX6Ls+1dabY//e/e8lF83xmy//JidmBq2rP/bwxziUObTs92ehnfxaXf/5nJo7xSv5V0iH0mTCGZxz+P2DDZdnKjODdSvBGPV2nVKzxPv2v4+PH/34khnSTx77JLP1WeLB+JKxC7aDyzZCrraqg85ujiVfo9nNyqXR53Ykc4QXZl9YsjfUgsVrr5LZJO/7B+/jyb/z5KgzYDwd5yM/9RHOdc6t+DnEgjFOF5bOTr06/yqHc4eXzEJ+/nOf5+rZq+y9dy9/6zN/i26/y8996ue4cvYKr/3xa7znL7xnlCzO1ee42rhKJpJhb2ovYX+YVq/FleoV2v0279n3Hnzmo+/6BP1BHtvzGO1um5fnXx7NIsVDcabHppc0E2l0GkzEJ5aV/Xldb0lCvd1saALknOsBj5pZGvgtM3vEOXdy0Sm20suuP2BmnwA+AbB///4NiVVERGQjPTjxIM9deW5J6+eSV+LR6e1xk7DSjNOx3ccoNUtLkppsNMux3csTIFh0Ezj8TzwUX7HEa6WZF4dbduM5OLT8X5FX28Ppvux9VFoVcrHcklK1SruybBE7MFqLdP21V5oNe9fedy17H09ffprvvP87efbKs6Oueh//uo/z1KWnKHrFJeu0vuPwdyx7H6fzp1eMy+t5+M2/JIartatMj00PWhiPPma36titVNb4+J7HuVK7suy9PTjx4LKE8mD6IKVWifHo+JKxvzdzL6/lX+Pb7v220TVm67McyhxaFsPt/s4753hw/MHROMaCsdHMSy6ao+pVKXtlYoEY92Tv4UD6AJlohocnH2ZPcg/pSJpDmUMrJmen86eXvWev6/H26bcv20j55NxJgr7gktnNc+VzJMKJwTfDu9mwP8wr86/wDfu/Ycks7cmzJ/lD94ej77v9LmWvzNHpo5RaJcxsSbe2qfgUh7KHlpSDvmvvuwCWJK8/+IkfJBKI8LGPfoy9u/cC8NhvP8YP/+wPM/2B6SWxRQNRer0e2ehgD6WF37Hdid0kIgkennx4yewowK+88CtLkrBzpXOjPcYWx/veve9lPL68u+Q9mXvWNM5bwZbsKryRP8jsHwJ159y/WHTss8AfOed+dfj9q8AHblQCd+zYMXf8+PENj1dEROROKjQLy2ZIFv4FfyP3ZrpdhWZh2ezCSvF+9dJXB7vFL7qhrLfrhAPhNXXl+/yZzxOwAJeql0brevYm9tJ1XR7b89iKpWPXHzudP81cY27Z2qDXC6/zyMQjK1772+5bvlv97b7n2cYsFa+y5IZypbLFz5/5PLlobsmmns458s38svdcaVVo9VrL3ttEbGLFz3fx7NLiZOdI7gjzjflln+Vazz2dP73mcb7d3/lff+nXuVy9TCwQezOh7TY4XzrPeGycaqu6pJnDdGKaqbGpZe/j8b2PL/t5K30+J66c4HD28LKNlL2eR7FZXLIf1nNXn+Ng+iB7k3tH5xa9Im8U3+DjX/fx0ZgW5gv8wPf8AFfPXiWcHMwMtiotcvtz/Mx/+hnimfiS62aiGXzm41D60JLfi5JX4qmLT/H+A+9f8t7q7ToH0weXnPsv/+xfDsoPE7vf7IboD/LM5Wd4ZNcjdPqd0T5JQV+Qg+mD/L33/70ln89XL3112Z+lkD/EydmTdHvdJd3lPnDwA7yWf21Nn/tmMrMTzrkV/7VmI7vATQAd51zJzKLAh4Cfvu603wE+bWb/hUHzg7LW/4iIyFvRwo3fWm6st5O1thUveSVy0dySY6s1PFjJSmuI6u06vV5vxTKx67vIweqzN3uSe5YtYj9x5cSqMxFrfc+rzUR906FvWtO4rlbKl46kl8XwxEtPMFMdtN5eKBF8vfA6zU7zhntZrdRIY6VkbK3nrmecb/d3fqVyxOnENIlQgmggumSNzKH0IZrd5ppn+lb6fFbbSPlI7ggnmicGL1w0o+IY7K+0eD3VRGxiyZh+8fe+yNWzV8nsz/D3//3fJxKI8JP/809y5ewVnvnDZ/jHf+cfr5jIX/97EfQFeXzv48va3a907oPjD/K1ma8t2fA438zzzfd8M36fn3avvaTpwkolrSutsyt5g72Eru8ul4lmNn3T7du1kSVw08AvD9cB+YBfc879npl9EsA592+B32fQAvsMgzbYf20D4xEREdlS22GPoo1yo5v5tVgtmQj4Ard1U/vIrkc4MXNi2SL2wV6YK1Xir92Nkozbec8rrZGqtqr4zDdqFBENRPG6HtVW9abxree93Mx6x3k9MVw/8zYeG18xoX3b1Nv43GufW1Kedbpwmn2pfcvWMt0oCV/rRsqn86eZGptalgzW2/Ul5XLTiWnCgfCSjoMf/t4Pc2r2FH/ho38B35iPaqvKj/+HH+f0l0/z4e/78IoxrPZ7sdKMykrn3j9+P8lIkpnKDFdrV0mGknz9/q/nAwc/MNqA+GYlrSuN8+n8afan9q+prf12t2klcHeKSuBERES2n9VKrtZTBrNS6dnTl59etUxspfK1lXz+zOcJ+AJcqiwqgUvupdtfuQRuM6213G61crA9iT189OGPbmq8tzvO67nuamV4K5U6ztZmR13KFqynDHM1K5Uqlpolvnj2ixxIHVhW3gcsK18M+8PrimutvxernXt9DAuvX+t1VxqPL53/Eu/d+17S0TeT3fX+WdxMW1ICJyIiIjvH7c6GLL7GYrc7s7RwjZXK68ZCY2u+xkZZ6wzJauVgE/GJTYjyTXdinFeyWkOIhX2gFlutDbrX8da839N6rPQ72Ow23/z+uqYU17snc8+oI95a47oTs3c3Ko1c6zUXj/Pjex8n6A8uOW+9fxa3CyVAIiIickdsRInfesrENvIaW2219U0L/9q/mTZinNeztmi1pHhfat9ohuhOJmcr/f6cLpzm0alHlyRh9Xad4zPH6fV7S9asvZZ/bTSTdbeskYHl47wwKwR375+jBSqBExERkW1tPeVAG3mNrfZWeA+rWU8XwY0qw7uR6z/7C+ULyzq1Oef405ZtgrgAACAASURBVIt/ytun3n7Hy/C2i7vpd/BGJXBKgERERERkS603qdnqG/HVErZnrz7L1+/7+ttasyZ3htYAiYiIiMi2td61RVvdUXG1ssqHJh667TVrd8JWJ4jbnRIgEREREdlyW53UrMdqCRuw5etkFs+mXb93lpKgASVAIiIiIiLrdKPua1u5KehqHfVW2jtrp1ICJCIiIiJyh2z1TNZ6OurtVL6tDkBERERERO6MhTbhi92t+/VsFCVAIiIiIiJvEYdzh6l36tTbdZxz1Nv1LdszartSAiQiIiIi8haxUIIXDoTJN/OjPYjUAOFNWgMkIiIiIvIWstXrkLY7zQCJiIiIiMiOoQRIRERERER2DCVAIiIiIiKyYygBEhERERGRHUMJkIiIiIiI7BhKgEREREREZMdQAiQiIiIiIjuGEiAREREREdkxzDm31TGsi5nNAee3Oo4dYhyY3+og5JZo7O5eGru7l8bu7qWxu3tp7O5eGz12B5xzEys9cdclQLJ5zOy4c+7YVsch66exu3tp7O5eGru7l8bu7qWxu3tt5dipBE5ERERERHYMJUAiIiIiIrJjKAGSG/l3Wx2A3DKN3d1LY3f30tjdvTR2dy+N3d1ry8ZOa4BERERERGTH0AyQiIiIiIjsGEqARERERERkx1ACtMOY2S+a2ayZnVx07G1m9pSZvWhmv2tmyUXP/biZnTGzV83s2xYdf+fw/DNm9q/NzDb7vew06xk7M/sWMzsxPH7CzL5p0Ws0dptovX/mhs/vN7Oamf3oomMat012C39fHh0+99Lw+cjwuMZuk63z78ugmf3y8PjLZvbji16jsdtkZrbPzJ4cjsVLZvbDw+NZM/uCmZ0e/jez6DW6V9kG1jt2W3qv4pzT1w76At4PvAM4uejY08A3Dh//EPBPho8fAp4HwsAh4HXAP3zua8B7AAP+O/DtW/3e3upf6xy7twO7h48fAS4veo3GbpuO26LnfwN4AvhRjdvdMXZAAHgBeNvw+5z+vrxrxu57gf8yfBwDzgEHNXZbNnbTwDuGjxPAa8P7kZ8B/u7w+N8Ffnr4WPcq2+TrFsZuy+5VNAO0wzjnvgwUrjt8P/Dl4eMvAH9x+Pi7GfxPoeWcOwucAd5lZtNA0jn3lBv8lv5H4Hs2PvqdbT1j55x71jk3Mzz+EhAxs7DGbvOt888cZvY9wBsMxm3hmMZtC6xz7L4VeME59/zwtXnnXE9jtzXWOXYOiJtZAIgCbaCisdsazrkrzrlnho+rwMvAHgb3JL88PO2XeXMsdK+yTax37LbyXkUJkACcBL5r+PhjwL7h4z3AxUXnXRoe2zN8fP1x2Xyrjd1ifxF41jnXQmO3Xaw4bmYWB/4O8I+uO1/jtn2s9mfuCODM7PNm9oyZ/R/D4xq77WO1sft1oA5cAS4A/8I5V0Bjt+XM7CCDWYKvArucc1dgcKMNTA5P073KNrTGsVtsU+9VlAAJDEoBPmVmJxhMWbaHx1eqt3Q3OC6bb7WxA8DMHgZ+GvgbC4dWuIbGbvOtNm7/CPh/nHO1687XuG0fq41dAHgf8PHhfz9iZt+Mxm47WW3s3gX0gN0MSqh+xMzuQWO3pcxsjEE58P/mnKvc6NQVjuleZQutY+wWzt/0e5XAnbyY3J2cc68wKN/AzI4AHx4+dYmlMwp7gZnh8b0rHJdNdoOxw8z2Ar8F/IBz7vXhYY3dNnCDcXsc+KiZ/QyQBvpm5jH4H4nGbRu4yd+XX3LOzQ+f+30Ga1D+Exq7beEGY/e9wB845zrArJn9KXAM+GM0dlvCzIIM/t77Fefcbw4PXzOzaefclWGJ1OzwuO5VtpF1jt2W3atoBkgws8nhf33A/wn82+FTvwP85WE95iHgMPC14fRl1czePezK8QPAf9uC0He81cbOzNLA54Afd8796cL5GrvtYbVxc859g3PuoHPuIPCvgH/mnPs5jdv2cYO/Lz8PHDWz2HAtyTcCpzR228cNxu4C8E02EAfeDbyisdsaw8/6F4CXnXM/u+ip3wH+6vDxX+XNsdC9yjax3rHbynsVJUA7jJn9KvAUcL+ZXTKzvw78FTN7DXiFQYb9SwDOuZeAXwNOAX8AfMo51xte6m8C/4HBYsPXGXTokA20nrEDPg3cB/wDM3tu+LVQc6ux20TrHLcb0bhtsnX+fVkEfpZBp7HngGecc58bXkpjt8nW+efuM8AYgzVCTwO/5Jx7Yficxm7zfT3w/QyS0oX/f30H8FPAt5jZaeBbht/rXmV7WdfYsYX3KjZsNSciIiIiIvKWpxkgERERERHZMZQAiYiIiIjIjqEESEREREREdgwlQCIiIiIismMoARIRERERkR1DCZCIiIiIiOwYSoBERGTHMDP/VscgIiJbSwmQiIhsS2b2T8zshxd9/5Nm9rfN7MfM7Gkze8HM/tGi53/bzE6Y2Utm9olFx2tm9o/N7KvAezb5bYiIyDajBEhERLarXwD+KoCZ+YC/DFwDDgPvAh4F3mlm7x+e/0POuXcCx4C/bWa54fE4cNI597hz7k828w2IiMj2E9jqAERERFbinDtnZnkzezuwC3gWeAz41uFjgDEGCdGXGSQ9Hxke3zc8ngd6wG9sZuwiIrJ9KQESEZHt7D8APwhMAb8IfDPwz51zn118kpl9APgQ8B7nXMPM/giIDJ/2nHO9zQpYRES2N5XAiYjIdvZbwJ9jMPPz+eHXD5nZGICZ7TGzSSAFFIfJzwPAu7cqYBER2d40AyQiItuWc65tZk8CpeEszv8wsweBp8wMoAZ8H/AHwCfN7AXgVeArWxWziIhsb+ac2+oYREREVjRsfvAM8DHn3OmtjkdERO5+KoETEZFtycweAs4Af6jkR0RE7hTNAImIiIiIyI6hGSAREREREdkxlACJiIiIiMiOoQRIRERERER2DCVAIiIiIiKyYygBEhERERGRHUMJkIiIiIiI7BhKgEREREREZMdQAiQiIiIiIjuGEiAREREREdkxlACJiIiIiMiOoQRIRERERER2DCVAIiKyjJmdM7MPbXUc25WZ/aCZ/clWxyEiIuunBEhERG6LmTkzu+8OXesDZnbpTlxLRERkJUqARERERERkx1ACJCIiN2Rm7zKzp8ysZGZXzOznzCw0fO7Lw9OeN7Oamf1Pw+N/3syeG77mz8zs6KLrnTOzHzWzF8ysbGb/1cwiZhYH/juwe3itmpntXiGe7zCzU2ZWNbPLZvajw+MZM/s9M5szs+Lw8d5Fr/sjM/unw3hqZva7ZpYzs18xs4qZPW1mBxed78zsb5vZG2Y2b2b/t5mt+P9NM3vAzL5gZgUze9XM/tLN4hURka2hBEhERG6mB/zvwDjwHuCbgf8VwDn3/uE5b3POjTnn/quZvQP4ReBvADngs8DvmFl40TX/EvDngEPAUeAHnXN14NuBmeG1xpxzMyvE8wvA33DOJYBHgP9veNwH/BJwANgPNIGfu+61fxn4fmAPcC/w1PA1WeBl4B9ed/5HgGPAO4DvBn7o+mCGidsXgP8MTAJ/Bfg3ZvbwTeIVEZEtoARIRERuyDl3wjn3Fedc1zl3jkFC8403eMn/AnzWOfdV51zPOffLQAt496Jz/rVzbsY5VwB+F3h0HSF1gIfMLOmcKzrnnhnGmXfO/YZzruGcqwI/uUKcv+Sce905V2Yw2/S6c+6Lzrku8ATw9uvO/2nnXME5dwH4VwySm+v9eeCcc+6Xhp/RM8BvAB+9UbwiIrI1lACJiMgNmdmRYTnZVTOrAP+MwWzQag4APzIsfyuZWQnYBywuZ7u66HEDGFtHSH8R+A7gvJl9yczeM4wzZmafNbPzwzi/DKTNzL/otdcWPW6u8P31cVxc9Pj8de9hwQHg8eve78eBqRvFKyIiW0MJkIiI3MzPA68Ah51zSeDvAXaD8y8CP+mcSy/6ijnnfnUNP8vd9ATnnnbOfTeDcrPfBn5t+NSPAPcDjw/jXCjPu1GsN7Nv0eP9wEoleReBL133fsecc3/zJvGKiMgWUAIkIiI3kwAqQM3MHgD+5nXPXwPuWfT9vwc+aWaP20DczD5sZok1/KxrQM7MUis9aWYhM/u4maWcc51hXL1FcTaBkpllWb6e51b82LC5wj7gh4H/usI5vwccMbPvN7Pg8OsxM3vwJvGKiMgWUAIkIiI386PA9wJVBsnN9UnATwC/PCz/+kvOueMM1gH9HFAEzgA/uJYf5Jx7BfhV4I3h9VYqOft+4NywzO2TwPcNj/8rIArMA18B/mCtb/AG/htwAngO+ByDhgbXx1wFvpVBg4UZBuV9Pw0sNH1YLV4REdkC5txNqw1ERER2HDNzDMr+zmx1LCIicudoBkhERERERHYMJUAiIiIiIrJjqARORERERER2DM0AiYiIiIjIjhHY6gDWa3x83B08eHCrwxARERERkW3qxIkT8865iZWeu+sSoIMHD3L8+PGtDkNERERERLYpMzu/2nMqgRMRERERkR1DCZCIiIiIiOwYSoBERERERGTHUAIkIiIiIiI7hhIgERERERHZMZQAiYiIiIjIjqEESEREREREdgwlQCIiIiIismMoARIRERERkR1DCZCIiIiIiOwYSoBuQ9/1tzoEERERERFZByVAt6jX7zFbn6XWrm11KCIiIiIiskZKgG6R3+cn7A9TaVVodBpbHY6IiIiIiKyBEqDbkI6kCfvDlLwSrW5rq8MREREREZGbUAJ0G8yMbDRL0Bek0CzQ7rW3OiQREREREbkBJUC3yczIxXL4zEehWaDb7251SCIiIiIisgolQHeAz3zkYjkA8o28usOJiIiIiGxTSoDukIAvQC6ao+/65Bt5nHNbHZKIiIiIiFxHCdAdFPQHyUazdPodil5xq8MREREREZHrKAG6w8KBMKlwCq/rUfbKWx2OiIiIiIgsEtjqAN6K4qE43X6XeqdOwBcgHopvdUgiIiIiIoISoA2TiqTouR7lVpmAL0A4EN7qkEREREREdjyVwG2gTCQz2iNop7fH/sxnPsPs7Ozo+9nZWT7zmc9sYUQiIiIishMpAdpACxul+sy3o9tjf+Yzn+HTn/40H/zgB5mdnWV2dpYPfvCDfPrTn1YSJCIiIiKbSgnQBvP7/GSjWfquz3xjfkfOBH3sYx/joYce4tSpUzzyyCM88sgjnDp1ioceeoiPfexjWx2eiIiIiOwgSoA2QdAfJBcb7BE0V5+j1W1tdUibanJykieffJKJiQnm5uaYm5tjYmKCJ598ksnJya0OT0RERER2ECVAmyTkDzERmyDgC5Bv5qm361sdkoiIiIjIjqMEaBP5fX7GY+NEAhHKrTIlr4RzbqvD2nALa34WZn4WZoIW1gSJiIiIiGwWJUC3oeSV6PQ663rNQmOEsdAYjU6DfPOt3xzhiSeeGK35OXnyJCdPnhytCXriiSe2OjwRERER2UG0D9At6vV7tLotmp0mmWiGSCCyrtcnw0mCviBFr0ihWRh1i3sr+tSnPgUMmiEsrPl58skneeKJJ0bPiYiIiIhsBrvbSrCOHTvmjh8/vtVhAIMkqNAs0Ol3SIVTxEPxdV/D63oUmgVC/tBbOgkSEREREdksZnbCOXdsped0t30brl/TU/bK675GJBAhG83S7rUpNAtv+XI4EREREZGtpAToNi2s6YkH49Q7dQrNwrobGygJEhERERHZHEqA7pBUJEUqnMLresw35tfdHEFJkIiIiIjIxlMCdAfFQ3Gy0Sw912OuMUfZK68rkbk+Cbrb1meJiIiIiGx3SoDusEggwmR8clQSN1ufpdlpruv1mUiGdq9NubX+NUUiIiIiIrI6JUAbwGc+UpEUE7EJ/Oan6BXJN/L0+r01vT4ajJIIJWh0GtTatQ2OVkRERERk51ACtIGC/iAT8QlS4RSdfmddm54mwgmigSiVVgWv621wpCIiIiIiO4MSoE0wWhs03DdorWt70pE0IX+IYrO47qYKIiIiIiKynBKgTRLyh0hH0uta27PQYttnPvLNtZfQiYiIiIjIypQAbaJbWdvjMx+5WA7nnNpji4iIiIjcJiVAm+xW1vYEfAGy0Szdfpd8Y+3riEREREREZCklQFvgVtb2hANhMtGMkiARERERkdugBGgLXL+2p9Vtrel1Cxuldvtd5hvzSoJERERERNZJCdAWWVjbs5AElbzSmhKacCA86ig335hXYwQRERERkXVQArSFAr4AE7EJEqEEzU6T2fosjU7jpq8LB8LkYjklQSIiIiIi66QEaIuZGYlwgon4BAFfgJJXIt+4ecvrkD/EeGwch2O+MU+3392kiEVERERE7l5KgLaJgC/AeGycVDhFu9dmtj570y5xQX+QXDSHw5Fv5JUEiYiIiIjcxIYmQGZ2zsxeNLPnzOz4Cs+bmf1rMztjZi+Y2Ts2Mp67QTwUZzI+SdAfpNAsUPbKOOdWPT/oDy6ZCVprVzkRERERkZ1oM2aAPuice9Q5d2yF574dODz8+gTw85sQz7bn9/nJRXPEg3HqnfpN1/kszB4ZRr6ZVxIkIiIiIrKKrS6B+27gP7qBrwBpM5ve4pi2BTMjFUkNOr65HnONuRuWxAV8AXKx3CgJavfamxitiIiIiMjdYaMTIAf8DzM7YWafWOH5PcDFRd9fGh67K3hd74blaXdCJBBhIjaB3/wUmgVq7dqq5y7MBPnMR76x9v2FRERERER2io1OgL7eOfcOBqVunzKz91/3vK3wmmUZhZl9wsyOm9nxubm5jYhz3Xr9HoVmYVM6sPl9fsZj40QDUSqtCpVW5Ybn5qI5/L5BwtTsNDc0NhERERGRu8mGJkDOuZnhf2eB3wLedd0pl4B9i77fC8yscJ1/55w75pw7NjExsVHhrovf5ydoQdq9NvON+Zt2bLtdZkYmmiEejFNr1yh5pRvGNh4bJ+gPUvSK1Nv1DY1NRERERORusWEJkJnFzSyx8Bj4VuDkdaf9DvADw25w7wbKzrkrGxXTndTpdXjq0lPM1eZodVoUmgWqreqG/9xUJEUilKDRaVBoFlYtwfOZj1w0RyQQodwq33DWSERERERkpwhs4LV3Ab9lZgs/5z875/7AzD4J4Jz7t8DvA98BnAEawF/bwHjuKK/tca12jbOlsxydPMr+9H6cc7R7bTLRDD7buMm1RDiBz3yUW2UKzQLZaJbh57yEmZGNZil7ZWrtGr1+j3QkveK5IiIiIiI7gW30Iv477dixY+748WVbCm2Jl2Zf4vmrzzNXn+NA+gCHc4dJhBKEA2HGY+P4ff4N/fnNTpOiVyTgC5CJZAj6g6ueW21VqbarhP3hVRMmEREREZG3AjM7sco2PBs6A/SW1u62qbQqHMocIuQPMVOdodKqcH/u/tEM0HhsfEMTjWgwis98lLwSc405EqEEY6GxFX9mIpzA7/NT8kqUvBKZaGbD4hIRERER2a6UAN0iv89POpzmWv0amUhm0HWtUeDF2RfZn9pPo9vAzBiPjW9oHOFAmIn4BGWvTLVdxet6ZKIZAr7lQxsLxui7PpVWBZ/nIxVJbWhsIiIiIiLbjRKg2xAJRNiT3MN8Y55Ov0M0EKXZaXK+fJ5qq4rXGewTNBHf2M51PvORiWaIdqOD2aD6HInwYDboemOhMXr9HvVOHb/Pv+I5IiIiIiJvVUqAboMzBw72pfaRCqcI+oLM1meZr89ztXeVWqeG1/G4f+J+psamNnzdTSQQYTI+SckrUWlVaHVbKzZkSEVSb84EmY9YMLahcYmIiIiIbBdKgG7Rwl471VaVvuuTiWZIhBOkI2mCviBXq1fJ1/N4HQ+v59Hb1WNqbGrF0rQ7yWc+stEsjU6Dsldmrj5HNppd1iAhHUnTb/YpeSV85iMSiGxoXCIiIiIi24ESoNsQ9oexsFFtV/H7/MSCMfzmJxKMEAvGuFi+SNEr0phv4HU8jk4dZTw+TiKU2PDZoFgwRsAXoNgsMt+YJxVJLZnpWWiRPd+Yp9gskovlCPlDGxqTiIiIiMhWUwJ0i3r9HjPVGWLBGPFgnHqnjmFMxCeIBCOE/CGiwSiXKpeYqc5wcu4k7X6bhycfZjw2TjKcJBqMbmiMIX+IifgExWaRklei0+uQDCdHyZeZkYvlmG/Mk2/kyUazhAPhDY1JRERERGQrKQG6DSWvRK1VIxVNEfaHaffaFJoFcrEcYX+YoC9IOBAmHAxzsXSRl+deptaq8eDkg+xJ7iEWjA3WDt1g/57b5TMfuViOSqtCrV2j0++Qi+ZGSdBCu+58I0+hWSATzagcTkRERETespQA3aJev0ez06Tda9OjRyKUIOQP0eg06Nf7xENxphPThANhAv4A0UCUmcoMM7UZWv0WlVaFPYk9tHtt0pH0hjciSIaTBH1Bil6RfDO/LAnKxXLkG3mKzaKSIBERERF5y1ICdIv8Pj/RYJRur0uxWcT1HclIkoAvQLPTpOd6g+YC/ggHUwcJ+8NE/BGigShz9TnOFM7Q6XWYb8yzP7WfifgEiXBiQ2NeKLm7URJUaBYGM0GRzIaX6ImIiIiIbDbfzU+RlTjnaLQbmM+IB+NUO1Xm6/P0ej0C/gABG8z6tHotuq5LNppl19guDmUPMZWYwvUdV2pXqLVrvDj7Iq/Ov0qhWdjwuKPBKJlIhnavTb6Zxzk3es5nPnLRQTOEolek0WlseDwiIiIiIptJCdCtskGntVq7RqPTIBvJ0qfPpeolmu0m9W6ddq89angQ8odIRVKMBcc4lD7EdGKaVrdFoVEgFohxuXqZr13+GmfyZ+j3+xsa+o2SIDMjFx2sYSp5JWrt2obGIiIiIiKymZQA3SLD6NEjFU6Rb+aZqcyQjWRJhBJcq1+j0W5Q9IrMNeYI+oJMxifJRrNMxCcIBUNMjk1yKHWIWrfGTHWGdDhNt9/l1Pwpnrr4FCWvtKHx3ywJykazRANRKq0KlVZlQ2MREREREdksSoBuUavT4nLlMvP1ebLhLNca13hx9sVB6+nYBNVWlUa7wXxjnpnqDF7XIxFOMJWY4mDqIMlwklg4xr3pe+n1e7xRfoNkKEkylKToFXn68tOcnj9Nt9/dsPewOAmab8zTd2/OPJkZmWiGeDBOrV0brHNalCSJiIiIiNyNlADdolAghB8/1XaV+eY8uUiOdrfN8SvHKTQLJMIJ+vRpdVoUvSLnSueoeBUCvgDj8XHuH7+fPck9BPwBsrEsruu4WLlInz7ZSJZ2r81rhdd45sozG5p8RINRstEs3X6XufrcsoQrFUmRDCdpdpsUmgUlQSIiIiJyV1MCdIv6rk8unmMiPoGZUfAKGEbIQpwpnuF86TyNdgOHAweNToNz5XNcq12j7/pEAhEOZw9zdNdRstEs8XCccrPMteo1Oq7DeHScoC/IlcoVnr3yLG8U36DVbW3Ie4kEIozHxnE45hvztHvtJc+PhcZIR9K0eq1lM0UiIiIiIncTtcG+RX6fn8n4JMagVKzZaXK1epVSq4QPH/lGnnq7TiwcYyw4RjKcpNVtcbZ4Fq/rMZ2YHpTLxSfIRrO8Ov8qL8+/zOXyZWrtGl83+XXsGttFpVUhX8/z8uzLlJol9qT2kAqn7niL6qA/yHhsnEKzQL6RX7YXUCwYw2c+is0i+UaeXCyHz5Q/i4iIiMjdRXewt8hnPsyMaDBKu9cmEojw2J7HeGD8AcLBMPVOnUa3QblZZq4xx0x1hk6vg9/n543SG7w89/Kow5rf5+fBiQd53/73cf/E/XT6HY7PHCdfy7MnsYeDmYP4fD4ulC/weuF1Llcuc612jVq7dkdnYwK+AOOxcYL+IIVmYVkHuEggMiqXyzfymgkSERERkbuO3W1rOo4dO+aOHz++1WHQd31mqjP0+r3R5qE+83EwdRCH43ThNJcrl+n2ugQDQUIWIhwIM5WYIhaMUW6V8ZmPQ5lD7E7sJuAL4Jyj5JU4WzjL87PPU2wW2Z/cz6PTj2JmXKxcpNlukolmBl3aglECvgDxUJxEKDHa1PR2OecoekW8rjdo3x1OEfQHR897XY9Cs0DIH1qymaqIiIiIyHZgZiecc8dWeu6GJXBmFgH+PPANwG6gCZwEPuece+lOB3o36ff7XC5fJhFOkI1liQVinC+f59TcKfan9/PI5CPsiu/ifOk88815Gv0GjU6DRrfBvtQ+dsV3UWwWeW3+NUrNEvtS+0iGk2SiGXw5H+lomhMzJ7hUvUS5XebtU2/nYOog1+rXBi2yDSZ9kwR8AWrtGq1ui3QkvSRRuVULbbCbnSbl1mAGKx6Mkwgn8JlvNBO0kPhlo1klQSIiIiJyV1g1ATKznwC+C/gj4KvALBABjgA/NUyOfsQ598LGh7n9eB2PF2dfJOKPcCB9gPH4OIezh7lYvcjZ0lnqrTp7U3uJh+LM1ma5XB2s7Sl7ZaqtKoWxAg/kHiASiFBqlegWu0zGJ0mEEyTCCcKBMJFghJPXTvJ68XWennmaezP3MhGfIBPJUGvXmHWz5GI5kuEk3X6X+cY8iXCCsdDYHXmP0WCUcCBMtVWl3qnT7DYH7buDMSKBCJlIhqJXVBIkIiIiIneNG80APe2c+4lVnvtZM5sE9t/5kO4OoUCIPck9nC+d5+TsSSbjk+xO7mYiNkHAAhS8Ao1ug4Ppg+xJ7SEZSTJTmaHoFSl5Jc6Vz5Fv5nl4/GGS4SSdXoeCV6DnejQ6DRLhBLviuwjvDpMIJzidP82F8gWanSYT8QmC/iBe16PYLNLqtchFcwT9QSqtCl7XIxPJ4Pf5b/t9+sxHKpIale2VvNJotikajOIYlO0VvSKZSEZJkIiIiIhsazdcA2RmfuCnnHM/tnkh3dh2WQPknCPfyDNXn+PF2RfJN/KEA2EmY5PsGttF13WpelUCvgATYxPEg/HRLM212jWq7Sr5Rp6e63Fv9l72J/djZsTDccaCY5jZaJal1q5xpnCGV+dfpdvvkolmSIaSeD0PwxgLjRH0B8lG9ILlEQAAIABJREFUs2SjWRqdBjCYwYkEIoT94TuWmNTaNSqtCmF/eFCuZz7q7TrlVpmQP0Q2mlV3OBERERHZUre8Bsg51zOzd5qZubutW8IG6/Q6nC2dJR1J86FDH+JM8QyvzL/CpdolCs0C6WiaeDBOz3rkm3m8nkc6nGZ/ej/xYJyZ2gzRYJR8Pc+p2VNcq13jwfEHAfDhIxqIUmlV6Pa7ZKNZHpp4iLA/zCvzr5Bv5PGbn0w0Q6FRIN/MkwqnmO3P0ug02JfcR8/18LoejU5jsD+Rf9CEIRqI3tbM0FhoDL/5KXpvtsOOh+L4zEfJKzHfmCcXzd2R2ScRERERkTttLfsAPQv8NzN7AqgvHHTO/eaGRXUXMDNOzZ3CZz7uzdzLQxMPcU/mHp6/+jwXKhe4UrlC0B8kFAgRC8Zod9u0Oi1SkRSZaIZ0JM0bpTeI+CPEQjGuVq/ytUtfY396PwdSB0jH0gR9Qa7VrlH2yuxO7OaB8QcYC43x0uxLzNZn6ff77E7uJu/lyXt5xgJjtHttvK7H3uRepsamRt97XY9Kq0K1VR2VtN2qaDCKz3wUmgXm6nPkYjmiwUFiVWgWmGvMjUryRERERES2k7UkQFkgD3zTomMO2NEJULvbptluUmqVOF86z8tzL/PO3e/kGw58A+dL57lQucBcfY52r02hWaDda9PsNGm0G3gxj0QowdHJo5wrn8Pv8xPyhSg0C5wrnqPklTiYPsi92XtJhpJUO1Vezb9KNpJlOjHNWHiMF6++yNnyWVr9Fvel7yMZSjJTncHf9dPv93mj+AaFZoE9icH6o4VGCWVvsI7H63qkI+lbLlcLB8LkYjkKzcJo1ifkDzEeGyffyDPfmF+2maqIiIiIyFbTPkC3yOt4/NrJX6PeqVNr18g38jgc94/fzwcOfIBkJMm58jnm6/PUO3WqXpUePegPGigkw0l2J3czPTZNu9fmjeIbzNfmafValFolgr4g8XCcB8Yf4EDqAK3u4LjPfEzGJwkHwpwtnuWV+Vfw4eNA+gDpSJqzpbM0Og3SkTTxUHy0j8/uxG6iwSgwWMdTbVXxmY90JE04EL7lz2HxpqjZaJZwIEzf9UdJXzqSvq3ZJhERERGR9brRGqCbJkBmdgT4eWCXc+4RMzsKfJdz7p/e+VBvbrskQK1ui18/9es0O038Pj+tTovZ5iyXy5eJBCO8bdfbeO++9+JwlL0ytXYNr+ONOqk5HAELkI1muS93H+OxcS5XL3O+dJ5Wp0XAF8DrewCkIimOZI6Qi+do9VqUvTKxYGwwO9Su8ur8q9Q6NXKRHIezh5mpzXCtfo2IP8J0Yhozw+HIxXJMj00T9Afp9DoUvSLdfpex0NhtbaTa6w/WOfX6vdGsj3OOQrNAq9ciE8mMki8RERERkY12uwnQl4AfAz7rnHv78NhJ59wjdzzSNdguCVCv1+O5q89xrX6NilcBA8OoelXOFM4w682SDqV5aOIhHph4gHgoDg4cjkqrwuXKZRqdBl7Pw+/zs3tsN4cyh+j3+1yoXKDQLBDxR+i6LuaMnusxnZhmb3IviXCCertOq9ci7A8T8AWYb85zuXoZHNyfvR+fz8fpwmm8jsfBzMHBxqteEb/Pz77kPjLRDM45yq0yjU4Dv/lJhBNEA9FbSoT6rk++kafT74wSHucc+WaeTq8zmh0SEREREdlot5sAPe2ce8zMnl2UAD3nnHt0A2K9qe2SAPVdn7n6HM1uk8uVyxQaBertOmF/GGeOmfIMZ8pnqDVrZKIZ9ib3cnjiMPuS+4gFY3gdjyu1K8zV56i2qrT7bWLBGFNjUyTCCZqdJoVmgb7rDxISN2i84Df/YL+h+GC/oUa3QbffJWhBAv4Al8qXKHpFJuOTHEgf4ELpAhcrF0lH0xydOEq1U6XZbZKL5tiX2ofPfLS6LartKu1ee5QI3UrZ2kqlbwuJUbffJRcbrBMSEREREdlIt5sA/Xfg08ATzrl3mNlHgb/unPv2Ox/qzW2XBMg5x/nyeVLhFEF/kHwjz8XyRQrNAr1+j4AvQKvT4kzpDOeK52h1WuTig6Tj4YmHOTx+mIAvwFx9jkuVS4MNRnst2r028WCcVDhFwB/A9R1e18OZo9vrEvQFceaI+qNMJaZIhpM0u01a3RYBf4BsJEu5WeZc5RzRQJTDucP0XZ/nrz5Pz/W4P3c/0WCUWrtGJBDhQOoAsdAg2fG6HtVWlU6/Q8AXIBFKrLt0bXHpWyqcIh6K03d95hvz9F2f8dg4Ad9aem+IiIiIiNya202A7gH+HfBeoAicBT7unDt/pwNdi+2SAHkdjz++8McEfAGmx6Y5mDk4alt9tnyWqlfF7/MT9oeZrc/yytwrvF58fTQTck/mHh7f+zgH0wfp9DpcrFxkvj6P1xu0rPY6HvFgfLQhasQfodVv0e11MRvs6+NwxENxJmITtPttql6VUCDE1NgUhnG6cJq+67MvuY9d8V2cnDvJbG2W8dg4u8Z20eq1CPqD7IrvYjw2Ptq7Z3EiFPQFSUVS65q5cc5R9Ip4XY+x0BjJcJJev8d8Yx5gyc8SEREREbnTbjcBOuScO2tmccDnnKsuHNuIYG9muyRA3V6X333td2l325gZ6Uiae7P3ciB1AJ/Px9XaVc4Wz1Jr14gGoowFxnit+BovXnuRC+UL9Po9xqPjHJk4wrt3v5sDmQNcrV8dbJra8Wh2mtQ6NQyj0+tgPiMdShMNRqm0K/jNT9QfBR/4zEc8GCcajDJXm6NvfQ4mDzIWGuNC9QLVVnXQbCFzH9fq13i9+DoA2WiWbr9L2B9mcmySPYk9S9bpNDtNKq0KPdcjEoiQCqfWlbiUvBKNToOQP0QmksHhmG/M4zMf2WhWM0EiIiIisiFuNwF6xjn3jhUu+M47GOOabZcEqNlu8pXLX6HQKNDtd2l2mzgc2UiWR3Y9wsH0QcyMa7VrvF54nXqnTiKUIOQL8er8q7x09SWuNK/Q7XdJh9M8NPkQ75h+B2OhMcqtMvV2fXDdXhPXd9TbdeqdOtFglH2JfTS7TbyeRyKcwJzhzOHDx1hojGq7StkrMx4fZ1d8F41Og2KzSDAQ5Ej2CAFfgHOlc9TbdYL+IM1uk36/P2qykI1lR+/TOUetXaPWrgEQD8UZC42tef+gZqdJySuNksSFDVSdc7e9IauIiIiIyEpuKQEysweAh4GfYdAFbkES+DHn3MN3OtC12C4JEECtVaPQLHC5eplqq0q9VafYGpR+TSemeXTXo+xO7iboCzJTneGN0ht4HY9YMEa70+aN8htcKF3gSvUK9U6dXbFdPDj5IPuS+0Ylbp1+h57rYTaYCbpUuQTAnrE9xAIxar0ascCgJXbXdfF6HgEL0Hd9yq0yfvOTiWWI+qPUO3X69DmQOkAmkuFa/drg2hhlr0y5VSYVTrEnuYf9qf1LZnt6/R7VdpVGp4HPfCRCiUFnuzXo9rsUm0U6/Q5joTFigRilVol2b9D4IRVO3XILbhERERGR691qAvTdwPcA3wX8zqKnqsB/cc792Z0OdC22SwLU6rT47Vd+m6mxKQ7nDo9mSTq9DoVmgSu1wezOvuQ+7svex1RiirA/zOXqZS6UL9Dqtej3+jjcYJao9DqXyoPkZio+xf70ftLhNGOhMRwOn883Khk7VzpHo9MgGU6Si+Tw+/20+23S4TSJUIJmt0mn3yHijwzW83SqBHyBQZLU79JzPabGptiT2DNqWBDyh6i2qhS9IoaNusilIqkl77vT61BulWn32gR8AVLh1JraWzs3aP9d79QJ+oJkohmanSbV9iC2TCRD0B+88wMlIiIiIjvO7ZbAvcc599SGRHYLtksC5HU8fv/07zNbnyUVSXFf9j7SkTSNdoOu69Lr97havUqhWSAYDLJ7bDdTY1NMxCfw42euMcdMbYZ6u47f/ET8ES5WL/LStZfIN/NEAhF2je0iGU4S8oeI+CMkwgkSocSoBXfey4+SiWQoiTNH3/VJh9L06NHtdUlEEvjMR8Wr0Og28Pv8BG2QaGSiGfYk94ySmqAvSLffpd6pU/EqJMIJDqQPsDuxe9kMjdf1qLQqozVEqUhqTWt6vK432Ah2WALnNz9Fr6iSOBERERG5Y243AToC/Dywyzn3iJkdBb7LOfdP73yoN7ddEqBev8efXPgTmu0mc805DGMiPkE6kibsD4/27Kl4FWZqM3hdj1QoRS6eIx0ZzNSYz5ivzzNXn6PVaxEPxgn6g5yaPcVr+dfo0ycRTDAWGiPgD9Dv90lFUuwa20Wv36PRbVDyBqVk0UCURCRBMpik1W8RC8YwjG6/SyKcIBMZzLjMN+Zp9VsEfcHRDM5UYopEMMFsY5Z2r41hOBzFZhEMpsemuTdzL6HA0k5wzjnqnTq1do2+6zMWGhu8r5uUs/X6vVHb70ggQjKcpOyVR59BMpxUSZyIiIiI3LLbTYC+xGAN0GcXbYR60jn3yB2PdA22SwLUbDf5wtkv0O/3AWj1W7ieIxMdlHLFg3ES4QShQIh2t83V2lXyjTx+n59sNEsykiQWiBEJROj2u5RbZa7VrgGQDCept+u8NPsS8815Qv4QiWACv89Pp98Ztb42jKJXpOd6+JyPrusSD8VJhpL0rU/f9Qn7w6NZmn3JfZjPKDQKFL0i3X6XgC9ANpplIj7B3uRe8s08xWaRdq9NyBei3qnT7DZJhVMcyR0hFVm+Xqfv+lRaFRqdxrrK4urtOpVWZdQgod1rU2vXCPvDZKKZNTdaEBERERFZ7HYToKedc4+Z2bOLEqDnnHOPbkCsN7VdEqBev8cL117g/2fvzWIsTc/7vt+3r2c/tXb1Ot0zQ3FIWQsZUaFh+sKOQhjxRRQgUBQJkgNZimE5EWQgzoUjGgok+EJAEtsJ4kSOrDiBIyuKrSCKHSgOBDkRtJkmpdl6pruraz916qzfvr25eLs+zpAzzSa7h2yS7w8YcKrYdeqb6ro4fzzP8/ufx+cUdUHTNCzyBYZutGHFtVwG7oCRP0JHZ5kvOVodsS7WBHbA2BvjWA6u6WLoBlVVMUtnTNIJtm4jhGCZLzmNTsnKDE3T0IRG3uT03T5XO1cRmmAST2TnjhVSNqUUC7g9mqYhqzJ0TUdoAg2N3XCXkT8iqROm0ZRVscLWbRzLYTvY5kb/BoZucLA6YJWtADB1k7iM0XWdm/2bbIfb79kLlFc5i2xBLWp8y6frdL9siHmnIOFyArbMlq0qW90FKRQKhUKhUCi+Uh4XgJ6kiGWqadoLgHj0Yt8PnDzD5/uGRAiBqZv03T6VqEjLFNdymWdzLrILTEwqUXFinLTCgaE/pGN3OIvPOI/POVgdMPSGBHaAbdh4psdGsMHQG3IanbLIF9i6zba/TV7nFE1BVmbolc4knrBMl9wc3mSvu8c0mTJP51JmUKzJqoyRN8LQDJIqkUFCwNvLt7lIL9gJd9gKtwjLkLP4jKzMeO38NSbxhJc3XubF4YtMkgnHK3mn5JgOdVNz9+Iuy2zJ1d7VLwk4jumwGWyyLtZERURWZXSdLp7pve9Km6mbjP1xK0jwhMfQG7LIFkyTKQNvgGu6X6u/VoVCoVAoFArFNzlPMgG6Bfy3wPcCc+A+8INCiAcf+NO9B8/TBGh/sU9Zl0RlRFEXlE2JLnSKpmCZLcnqrJ2KuIbLjf4NbgxkQWlSJpzGp/LOBvBtH9/08UyPwA7QNI04jzmPz1nmS/IqJ69ydF0HAWmVsiyWxFnMOBizGW4iasGqWlHV0vTmGR4Df0AtauIsBgNsbAoKEHClc0WGJN1gVaxIi5SL9AI0uDO8w0e3Poqmaewv9jmOjhFC4BgODQ2WZrHb3WXsj+W90RcFnLIuWWQLyqbE0AwCOyCwgsfe9kRFxCpfSamC02tV2X23r+QICoVCoVAoFIon5qlW4N7xIgGgCyHWz/LhvlKelwCUFil//3N/n67dZbe7S8fqUAspJgCoRU1RFnK1TVScrE84j8/RdZ2tcIsr4RU6ToeyKSmqgqRKKOsSXdNxDIdNf5PQlUFpls5YZAvSMkXTNIqqoBQlWZFRNRVZlZE1GUN7iGVKuYFAsM7WWIbFlc4VdE1nns3JmxxXd0nrlLIq6bgdrveu03E6mLpJLWqO18ecRCcMnSGfvPFJdsIdpvGUu7O7REWEbdjYuk0lKobekM1w833vfvIqJyoi8jpH13R8yyewgnd1DL2TpJRiB0u32klQXucM3AGe5X2gf6cKhUKhUCgUim8OnvYGqA/8EHCDd6zMCSF+8hk+4xPz3ASgMuWfvvVPOVwdtvcrG8EGfaePYzo0omFdrlmmSyzTYuSMcE2Xe4t7nMfnNKKRRjhHTjdCJ8TRHRb5glW+oqjk5ONa7xq2aXOyPmGaTllmSzzDa29l1sWasi7xTI95NietUyzdwjVd+lafRblAQ6PrdunZPcq6pKIC8ej+5pEM4Wr3KlvhFj2nR2iHpGXKZ88+S17l/ImdP8HHdj+GQPDW7C0OV4fyxkl35TTIsNgKtuh7/fe9+ynrkqiISKsUDY3QDgnt8D0nQlmVMU/nUhjhDttJ0NAbqnU4hUKhUCgUCsWX5WkD0P8L/A7weaC5/LwQ4pee5UM+Kc9LABJCMEtmJGXC3dld7i/uE+VRa3nb6+6x7W+zqlY8XD7kIrkgtENuDW6hazr7i/22dDSwAzp2pzWy9eweq+IL+uxNf5Mb/RsIBA8WDzhPzsmrnLE/BuBwdYiG1nYEHUfHLLIFhiafRRNaK2Wo6xpTNzFNE9uwMYXJJJlwkV0w9IZsh9t0nI7sLPI3+P2T3+dgccAoGPGJvU9wtXeVSTzh7sVdyloKF4qmQNM0Bu6AsT+m5/beN6hUTcU6X5NW6WONcUVdMEtnAAzcQds5NPSGT2SYUygUCoVCoVB86/K0AegPhRDf+YE82VfB8xKAqrrij87/CEu32pWuw+Uh+8t9zqIzirpgt7PLR7c+yna4zTSd8ub0TaIyou/02Qq2yOucw/Vhe/cSWiGWaaGhsRPuMPSHLJIF+6t9yqZkM9hkr7tHVmU8XD7kNDrFMz0G7oCz+Ix1vmbsyQCyzJYcRoesc7mxGJohPb9H1+qyLtfUQgYhS7dwdId1uWaWzHBNl41gQ4YTt8fLo5dZFAv+4PgPEEJwe3SbVzZewTZs3pq9xapY4Vu+tM0JHcu0GPtj+m6fntt7XwtcXuUs8yVVU+GZHl2n+yVrcVUjrXhVUxHaIXmVUzUVI3/0nhY6hUKhUCgUCoUCnj4A/cdABPzvQH75eSHE7Fk+5JPyvASguqn5ncPfoRY1tm5jGXLtzNRN5umcB4sHHCwPqETFjd4Nvm3j2xj7Y2lWWx9TNzVjf0xgBcyzOQfLA2pqbM2m5/aomgqA7XCbvttnkS04i8+oRMXIHbEdbrPMl+wv94nyiLE3phIVx9Exnukx8kY4hsM8nTNJJsxT2RfUtbvcHNykoSErM9DA0i1qUTNLZiyzJY7hcHNwE8OQ90tXO3I97s2LNzmJThj5I14YvMBuZ5fT9SnrYo2GhmmYVHWFQLQq7rE/ft/bHSEEURERFREAHafzJaIEIYS8f6rS9jmFEIz9sVJkKxQKhUKhUCjek6cNQH8J+M+BBY9U2IAQQtx6pk/5hDwvAahqKu5O75JWKbWo20LUWtRYppyqRHnEGxdvcBaf4ZgOO+EO17rX6Hk91tmadblGR8ezPAzNYJpOmaUzdE3HMz0MDLImw9ItNvwNAjsgKRJm2ay1o/XdPufpOZNogqVZdJ0uk0T2Ag3cAaEVohs6i2zBaXzKeXwOwF64J/uKTAPbsKXdTTScRCccrY6oRc2LoxfZ7ewSlRGu4bIVblHXNUfREaZhsuVvsdPZYZWvZGeQBl27i6Zr1E0NgGVImcHYH2Pq721dr5uaZb4kq+R/a8/tfcmE57I0VQghf8aGxcAdqHU4hUKhUCgUCsWX8LQB6G3gXxNCTL/Kb24Avw8cCSH+3Bf9f58C/jFSrQ3wvwoh/sbjXu+5CUB1xavnr6JrOrZpUzc1tajRNZ2kSKiaSk6EDJODxQH3F/dZZksZCPwhV8IrBHaAQJCUCRoajuGgockbnybHN30s3aJqKtIqxTVdNoNN+k6fWSbNcFmV0XN7GBgcR8eUdUnf7VM2JdN4Km9zvAFdu0slKpbZkrfmb7FKV/TcHhveBmhICYPh4Ns+aZny5vRNJvGEYTDkI6OP4DiOlD0YAbZpk9c5AsHQG7Lhb1A0BSfrE+qmZuAO6Hk9AMqmJK9yHMNpp1nvp8LOqoxltnzfItWyLqXJrsopGyl+6Lt9ZYdTKBQKhUKhULyLpw1A/wT4d4UQyVf5zX8K+G6g+z4B6Ke/+POP43kJQI1oOI/POYvkWpqt23J9S9domoZa1GRVJm9p7B5ZnfH2/G0OlgdcxBdUosI1XHY7u4yDMQIhNdi6fMNfVAVplWJohpzi6LpUSpcRrulyrXetXZ+bJjKbeqbHIlvIQlRTPs8iXxAXMZ4lw0Lf7pOLnLvTu5xGpxi6wcgbYRqm7CGyPZq6wTVdTqNTDlYH5FXOtf41Xhy9SFqlsveHR1MeDfa6e2wEG1R1xdH6iHk6l8EokFOrd2q+Qztkt7NLYAfv+XMVQrAu1sRFjKZJscM7e4YuV+LiMiYrMzxL3g91nM7X5i9eoVAoFAqFQvHc87QB6NeADwP/nHffAH1ZDbamaXvALyFX6H7qmykAgTSV6ehM4gnnyTl1U2MbNp7lYekWjWhIq5SiLug4HbaCLeIiZn+5z4P5A86iM+bpHNd2udW7hWu76EKuxFmmRZzHrTraNmxc08U2bJbFkrzM6Tgdrnau4louZ4mUIHiWh6gF03RK1VT4lpzoJFUi1dpen01/E0u3uL+8z73ZPRrR0HW6hE6Ib/l07A51U9PQUDYlx6tjZskM0zS507+DYzmYutlOXrIqY+SPuNW/RWAHHK4Oebh6SGAF7HX36Drd9ucVFRGNaNgK5Prc+02DqkZOq97ZH+RbfrtGFxexDEJFjGu5dJ0uPaf32KJVhUKhUCgUCsW3Bk8bgH74vT7/JBpsTdP+EfBzQIf3CDqPAtCvAofA8aM/88fv8To/BvwYwLVr175rf3//y33rD5y6qTmLzzA0A9+Sq2qXNzxVXYEmJzKhHVI2ZfvGP7ACBt4ADY1ZMuP+4j5/fP7HxEUs73ysAMMwpN3NG+CbPutiTVqmZFWGpmsM3SG/8ku/wof/1IfpDDr03T5WavGb/8dv8qnv/xR5leNaLnmVk9c5BgZ5nZOWKbnIMYTBVmeLDW+DSTzh1fNXSasUx3D4w1//Qz7xZz/BtSvX8E2f47Njfvef/S4f+7c+xlFyRFM3bAabdL0uCPANOTWqRY2Gxm5nl+v968RFzN2LuxRNwU64wyiQUgYEMsBVOV1HChne7zYIpC0uLmOyKgOQa3qWj2u6FHXBPJuzztcYukHP6UnttwpBCoVCoVAoFN/SPFUAevQCNvDiow/fEEKUT/A1fw74tBDiP3y/SY+maV2gEUJEmqZ9GvgvhBB3Hve6z9MEaJEtKOuSspE/Dtd0MTSDqIiYp3OiIiKvczq2DCkaGnEZUzSFXJmzAzzTY52v+fzZ53m4eoilW3iW176JdwyHvtsndEJMTJb5kl/75V/j7/7s3+XmnZv83C//HPN0zs/+hZ/l6N4Rf+Vn/grf9wPfxzpfk9c5Ghqe5WHqpvzelZzCZFXG0Btya3ALNHh18iq//g9+nd/4L3+Djesb/MTf+gn6bp9f+Iu/wOG9Q37kP/0RPvXvfIqH84ckVULf6bd3PnVT0/W6WJq0snXdrlzt88ccLg+ZxBN8229FDpYhp1vrQk6sbvRvfNkVtrqpScqEpExahXff7WNoBrN0xipfUYuavttn6A0fG6oUCoVCoVAoFN/cPO0E6FPINbYHgAZcBX5YCPFbX+brfg7494EKcIEuUnLwg4/5mgfAdz9OuPC8BKC6qXlt+hpdu4tjOggEjZAmOFOX9zR5lXORXjBNpmRVhmu67TpY1VQyCBk2Q29Ix+7wcPGQN2ZvsM7WeKZHozVojUZWZ2iaRmiFbPgbnJ2f8Vd/8K9y+PYh/ZEMVvOLOdduX+Mzv/gZtre3sQ2buIxZpAvWxRrHdNj0NtE0jUpUzJM583wOArY721zpXOHw5JCf/sGf5vT+KX5f3vnEi5jdW7v81H/9U4zGIxzT4SK5YJJMsA1b3g/pJmVT0ogGW7dxTClTGLpDrnSvADCJJhSNNNeFdtiWsl6+zm5nl+1w+4mmN++UJXSdLoEVsMyXUpddpnIS5A/ft4xVoVAoFAqFQvHNzdMGoD8AfkAI8cajj18E/mchxHd9BQ/wKd57ArQNnAkhhKZpHwf+EXBdPOahnpcAVFQFnz37LFVdScvao2DTiIa6kZpmQ5frcTq6tLalC6IiQgiBbdromk5cxhgYdN0uI29E0RScRWccrg5ZZks0oWEZFqUoifII27TZDrZJlgk//ukfZzVfATAYDfjV/+dXCfoBWZVR1AUCgWu6LNIFR+sj8jqna3fZCXcInZB5NudkfUJayhuj7XAbLdb44e/7YVYz+bpBP+Az/8tnGA6HREVE0RQEdoCpmZwn51RNRWAFdO0urumS1zmrcoWOjmu5jL0xm+EmA2dAUiVkdYau6fTsHj2vh4bG6fqUQhRs+ptc7V19ouDSiIZltmzvowbugLRKmadz4iImdMI2bCkUCoVCoVAovrV4XAB6kj0h6zL8AAgh3tQ07atuoNQ07ccfvc5/A3w/8BOaplVAirTNffmdvOcA27R5ZfMVDleHREVE1VRs+BtYhtRWl3VJURfkVY5lWHTsDgN3QNmUxIWUGxRVQcfukJYps3RGVESMvBFbwRY9p8c8nfNw+bAtAd30NjnPznmweICVWe+alpRNyYPZA17uvMzQG5JWKVVdscgXWKbFKxs4TUoTAAAgAElEQVSvcBKdcBKdcD45ZzvY5sbgBkNvyNHyiPP4nP3lPmZqovHuKcx5fM7O5g4bwQaTZMJFekFRySAkakHRFMyLOV7jsRVssdvd5Tg6Zp2vOSwPmSUzNsNNtsNtHN0hrVJOo1MW+YIr3SvcGNzgNDrleC2/5kr3CpvB5mOnQbqmM/AGOKXDMltynpzTc2Tx6uUaYiOaVguu7oIUCoVCoVAoFPBkE6BfRBag/vKjT/17gCmE+JEP+Nnek+dlAgRyCqFrOhfJBcfrY8qmZOSN2l6ctEzlqltdAPJGyDIsXMOloSGrMtIyletbj6ZDhmbQ9/ps+Bu4lkucxxytj+QKWVXgOz6z8xk/86M/w8n9E3pDeYeznC3ZvrnNT/7tn+Ta3jV2gh2G3hDbsFllKy7SC3RNxzEdHi4fcrA8wDIsbg9vM/bHREXEm/tv8jf/4t/k7MEZ3WEXDY3lbMnmjU1+6Bd+iFduvMJLo5eYplMO5gesqhV5mWPqJo7pUImKpmnou31uDW5haiYH6wNWmbzP6bk9toItNsINqqpiXsyp65rd7i7Xe9dJioST6ASBYOANuNa9hm/7X/bvoWoqFtmCoi7wTA/P8lpDnKEbBFbA0Bti6MYH+vugUCgUCoVCoXg+eNoJ0E8Afwn4SeQN0G8Bf+fZPd43Jo1o2F/s03f7DLwBfbfP8fqYaTJlns7pu326ThdTN9E1HSGEXEsTgqqp2uJT3/fZCDZY52sukgtO1iccLA+YxJN2feyVzVeIehFvzt7kIrngt//P3+bk/glXbl3hr/13fw3f8vnMj3yG/bf2eeu332Lj397g7dnbHJgHDJwBe7097gzvcJFdsMyWvDh6kb3OHq9NX+Pzk8+3tzr3/sU9zh6csX1zm7/8t/4yPbfHz//Yz3P49iF3f+sublea5T689WE2/U0eLB5wnpy3XUOO4eBZHrNUlrTudfa42b9JXMRM06k0tmVrLtILrnaush1sExUR9+b3mEQTXhy/yLXeNebZnIvkgqRI2AqlLvudhahfjKmbjLwRURGxLqT8IbRDNDTSMm2nQSN/pOQICoVCoVAoFN/iPJEF7nnieZkAVXXF5yefJ69yht6Q3e4uoR2SlimTeMK6WFM3NYEV4Fleuw7nmA6hHWLqJnmdS3GAYdN1utiGTVIknMfnHK4O5Y2NqOg4HXbCHbaCLZIi4Y2LN/iHf+8f8tFPfZRwFGJpFvkq51/+5r/kz//gn6empqxLeY+Tr6ibmoE34PbwNoA00zkdbN3m1fNXuTe/R1qlDJwBv/ePf4/v/Te+F83XaLSGdJ7y2X/+WT79A59mf7HPaXTKRmeDF4cvsuFtkFQJ02TKeXROVEboQmfgD0jKRN7iuCF3BnfouT0u0gvm6Zx5OiewA3a7u2wEG5iYnCVn5FXO1e5VtsItGtFwkV606vCtcIuRP3psEAIo61La+ZoS13Spmoq0TGUJqxMycAc4pvO1+BVRKBQKhUKhUHyd+KokCJqmfR65+vaeCCE++mwe7yvjeQlAjWg4XB0yT+ZMsykaGmNvzPXedTquLBJd5kvSMkUg8Eyv/dylGnsr2EIgWBdrGtHgGA5dp4tlWBR1QVzEHK+OOY6O5XqcbrAb7nKzf5N1ueb+/D5n0RlRFlFQYCFvjQInoNEabM2mEhVRHjHP5qDB0Bky9IfYpk3f6bPb2eVwdcgb0zc4XB0C4Fs+hm4gEK1GWzQCQzdYF2uOVkcUdcGN3g1uDW/R0BAVEctsyfH6mEpUDOwBHavDWXaGqZvsdfe4NbjFOl+3QgjLsAitkHEwxrM84iImKRNCO2Svu4ehGzRNQ1ImrdBhp7ND3+0/NggJIdppkI6Opmny51nGdOwOQ2/YlrgqFAqFQqFQKL75+GoD0PXHvagQ4uvSRvq8BCCQJjiBIC7knc5pdIpAsOFvcKVzhZE/omxKVvmKqqmwdAvLsEiKhIv0glrUDL0hY2/chohGNLimS2iH2IaNEIK8yjmPz3m4fMhJfIKlW9zo3WCvt8c0mTKNp0yTKRepXBszDIOBM2DgDWSIEPLeaJ7OWeZLLNNi6AwJ7IDQDrkzvIOmadyd3eVwechFeoEmNDRNQxc6jdZg6Aa2aWPrNkVdMIkmnCVnBGbArdEtdsNdOXWqcu4v7jOJJ9imzV5nj6RKWOdrtoNtXtp4Cc/0OFgdcJFeYGkWfbePZ3lYhsU8nZPXOT2nx7XuNVzLRSDQNZ2iKVrr3Ha4TdfpPlZuUNYl82xO1VQ0oqFpGuIyxrM8xv5YGeIUCoVCoVAovkl56iLU54nnJQDVTc3x+hjXdOm5PWzDJqsyHi4echqfkpWZXPPq7LLX3aNsStb5mlrUuKaLrdvyLiadA3LqMvSGGJpBXucIBKZutkf9pm5SNzVn0RlvTt/kLDnDszxuD27T9/rMk3k7hXm4esiqWOFoDnu9PQbeANd0icqIZbrkZH1CVmX4lk/P7dFze+x05IrdJJ5wf36fi/QCIeQEqBENpSgRjUBHJ3Rkj09cxNyb32Odrxn6Q14YvMDQG9LQMIknvDV7iyRPCJ2wLXzte315g9Tb4zQ65XB1SCMarnSu0Hf7JGXCLJ1xnpzjmR43ezfZ7GyiIXXgjuGQVRmVqBh7Y0b+6LHTnMtpUFREsrT20WqgbdqM/TE9p6cMcQqFQqFQKBTfZHy1E6DfFkJ8UtO0Ne9ehdMAIYToPvtH/fI8LwGoEQ0P5g9IygTLsBh6w9Y0VtQFp+tTDteHrPM1lmGxHW6z19lD0zTZBYQgsAJc02WezpmlM7I6w9LlWphruejo1NQAWLqFZ3l4pocQguP1Ma+dv8YiWxA6IduhLD+tmxpd0zmNTnlr9la7brfpb7YSgKRKOFufcRKfUFYlvuOzF+yx0dlg7I+xDZv78/s8XD4kLmN8w8exHIqqIKkSqrrCszw6Toeu1WWSTHht+ho6Ojf6N7jau4pjOWRFxpsXMqyZuolAyAmVbvDC4AVeGr2EqZvcnd1lWSy5El7h1vAWtm5zuD7k7dnbxEXMdrjNC8MX8CwPXdNxTVeWr9Ylvu3Tdbr0nB6W8f529sv1w8vbpLIu0TSNsT9mI9j4srdFCoVCoVAoFIpvHNQE6ANACEFWZcRFzCybERcxlm4x8kdsBpvyhkYI5umc/eU+02RKIxo6ToftYJvACqippQ3OdHAMh1rUzNM562LdqrNtw8bSLTmJQa7HdexOOxV6uHjIvcU9oiLC0ixZSurKOyIE3J/fZ5pOEUK05aCuIXXcSZlwsj5hmk7JioyO0+H28DY3BjcY+2Pm6Zy7s7ucrE+om5qO3cE0TebpXN7laILQDBl4AwIz4NXpq0yiCcNgyIvDF9np7JBVGffm9ziPzzGEQUHBWXxGVmT0/T4f3vgwLwxe4DQ6ZZJMCOyAve4eV8IraJrGq+evcn9+H4Hg1uAWO+EOaNL8Zhs2juFgGzau5RJYAR2n89gwk1c5y3zJKluxKlaIRjD0h+x19x4boBQKhUKhUCgU3zg8VQDSNO0vCCH++y/63M8LIf6TZ/iMT8zzEoAAVvkKx3CwDIsojziNTolK2eUzcAdsBpu4lgtAWqYcr485WZ8QlzGaptG1u3IFzelx2T1qGzaGZqBpWluYWjYlGhq6prdByDZsfNPHtVxc05VFpot9oiIir3JCJ2ToDjENU6q5k3lrh7ucojimg2M6ZGXGJJ4wjackVULX6fKh8Yf40MaHcEyHo9UR+8t9lukSXdPpOB1W+Up+rzqnaipc02Ur2KKoCu6v7st+n84ud0Z3GLpD3rh4g6PVEaZhEhohp8kpB6sD8jpnr7PHS8OXGIdjKY6oUrp2t13LW+ZL/mjyR5xGp3TdLte61+g6cgApEO3P0DIsdE2n5/SeaC1umS25SC+Iy5jQCrk5uEnH6XzgvzcKhUKhUCgUig+Wpw1AvwH8j0KIf/Do478DuEKIH33mT/oEPC8BqG5qzpNzGtFg6maru77UYC+yBQJBx+6w4W/Qc79wa7LOpUltkkxIyxTf9Nnp7DD2x5RNSdmU7Rt513TJqoykTMiqjKzKaESDhkYtajRNa/t3QjtkkSzYX8mJU1mXbAQb9Jwe63zNIltQN/JrVvmKRjSADF2X62Un6xNOo1OyKmPsjXl5/DI3BjcwDIOT1QnnyTl5mWOZFnVTt+t8cRG3Km3P8pgnc1bVisAMuNK7wgv9F1jmS968eJOsyhi6Q+qm5mB1wPH6GKEJ9rp7fMf2d+BZHqt8hamZ2JbNTrhDYAUcrg65t7hHUiQMvSE7wQ66oVM2JYEZsBlu0rE7NEijXs/tPbb353ItbpbMOF4fY5s217rX2O3ufk1+hxQKhUKhUCgUHwxPG4A84J8Avwj8m8BMCPEfPfOnfEKelwAEcLaWty0NTTul8SyPwAoApJktuaBoCizdYsPfYCPYwNANQL4Bn8QTHiwesMpX2IbNjd4Ndru77RqcZ3r03B66plM1VauKzuucupH3QZclq5ZhtWKDKI+4O7vLRXqBiclWKJXbaZmSVIl8vboib3KyMqOqKyzDkitk6DxcPeRofYQmNHY6O3Lq4nWxdIuoiIiLmKzKAIiLmKquKERBVETYut128Fw+c8fpcGt4i6E7bA1wutDxHI8kTziKjjheHdNzenxk6yPcHNykaAoMDIqmILRDdsId4jLmcHXISXRCIxp2g10CN6CoCjQ0NoNN2XH0yFjXcTqyFPUxooO8yttVxbRKuda9xs3BTSVHUCgUCoVCofgG5auVIAzf8WEH+N+AfwH8dQAhxOwZP+cT8bwEoLIu+ezpZzF0Q05gTA9DN6Tu+lEQCawAx3BY5SvOk3PWxRpTM9kINhj5I2zDBmSAOY/PuTe/xzJfYhs2V7pX6Dt9aiGlBn233xZ4CiHkMX8ZU9QFRV2gazp1U5NWKQCe6TF0hyyyBW/P32ZdrNvuITSYp3PiMqZuajkVQsoZLkUMPbeHaASH0SGLdIGhGWyGm61RrmN32u+XFAnLckmURiRlQlIlGJpBx+ngGA5lU5IVGRUVI3/EXmcP27SZJTPWxRqBoGkazqNz9lf76IbO7f5tbg+l4a4RDXVdoxs6I2+EYzhMkgkHywOW2ZKu22XsjdE1vbXbDTw5iXIMh44ju38eV4B6uRZ39+Iu03TKXmePlzdeVnIEhUKhUCgUim9AvtoAdB9pf9Pe8b+XCCHErWf9oE/C8xKAhBC8dv4aaZVSViVooOs6nulh6zZCE+1q2mUYyqqMk+ikNcMN3AE9t9feEQFM4yn3F/dlcamArtPFt3z6Xp+u06Vjd9oJEtCKGN45EaqbmqRMKJtSmtrsLmfxGYfLw/bGZyvcwtEdVsWKeTYnL3M8U97NnEanJFWCqZv0nB5lXXKWnJGWKY7pEJohnu3J53d61KJGaII4jzmJTpilM6bJlKzO6Dk9NrwNNDTSWoYlz/YYe2O6ThfHcCjqgnk+J6syltmSs/UZy3zJTrjD7dFtNoINfMtHCAEadOwOA3dAXuU8WDyQBa4ajIMxQ3dIURdUQvYFWYaFozsMvIFcB3w0TXs/qqbizembHK4OGXpDPrL1kccGJ4VCoVAoFArF84eywH0A1E3N/cV9qqairMsvWUszNRNN0zB0o12L69gdOo6cnEzTKUkpJyWhHWIZFrZht/+Udcnh+pDT1SlpldKIRhaAdrYZ+2N8y8c13XZN653rcQKBEIKyLonKiLqpZZAyfc6Tc04i2QPkGA5Df0jP6jHLZiyKBSYmQ29IVmXsL/eJi1jeONkywE2TKU3TgAa1qPEMWSo6Dsb03B6e6TGNp5zFZ+wv9zlaHSGEoO/0cU0XNEirFEM32PK38GwP3/RxTIe4jJmlMxbZgkW6YJktCayArc4WY39M3+kTOAGapjF0h22YWWQLXp++zjJb0nN6XO1dlZa7KkFDw9TkmmLH7rAVbrWB6nE8mD/g7uwugR3w8uhlhv7wsX9eoVAoFAqFQvH8oALQB4QQQkoLaikuyKucZbYkKiOSQk5gqqZC0zQ0IYs836VrRq6tVaLC0A2pu34UaC6nL6Zucp6cc7A6YJbMSMsUy7DYDDbZCDYYekMCK2inQo1o2q6bWsjVtqzMiMqolTLYhk2UR0zTKVERAXKq4pke62JNVmWEVsjQH7JIF7LPqFij6zqu7tKIhkpUUiKQLslqKWbY7mzzQv8FtsIt8iYnyRMu0gten77OSXwib3LMDo3WyPW9qmAUjNgNd2W3j2FSVzXzfM48mTPLZ+2dkWM6+IbPRrjRhp+hN2TsjzEMg7zK2V/s89b8LQSCa91rjPwROroMXBiyzBXBpr/JTmen7UV6PybRhDcu3kBDY7ez2wand07gFAqFQqFQKBTPHyoAfUCcx+eyg+aRUhq+ICRIyoRVvvqCwa3MqIUMO3mZo+s6juHgmrKTx9AMAltOiSzDasOTa7r0nB6GbpAUsrfnaH3EMl/SNA2e7bHpb3K1d5W+22/fnAshiEup0W5Eg67ppEVKVEqttqEZmLqJqZtEecSiWNA0DaEVtpY4TZMdRUII0iJlnsn+H4QMJLZp41s+Td1wHB0zSSdoQuOF0Qt8aPwhLM2iEAV1U3O8Oubt+dtEWYRpmLiWK79vtgDgeu86N/o30A0pZ5gmcooUF3FrvLv82fqWz8gdsdnZ5ObwJlvBFp7pUYmKRbrg1fNXOUvO6Npd9rp72Lrd3lvVQprfTN3kRu8Ge729x0oSZsmMB4sHFM0XhBSXa4mu6X4NfssUCoVCoVAoFF8pX3UA0uS7wj0hxMEH9XBfKc9LAGpEwyJbkFc5AoGufSHQXK6mCSGkJKBM5IpcmVOJSpao1hnrbE3e5CCkivpyYuOaLl2n277BdkyHvttv36hfFqwer4+ZJlNWxQpbt9kOt9nr7TH0hu2dSyOa1toG8vtcPvu6WFPWJXVTY+mWlCtUCbWQHyNA0zRswyavc2mQexTsoioCISdHXbtLx+mwzJc8XDxkEstC01c2X+HO8A5pnSIQ5GXO0eqI0+iUWT5DQ8PCIiojlvkS3/J5cfQiY3+MYzrM0zkP5g/ImgxNaPK2CsGqWJEUCa7pMvAH3Bnc4dt3vp2RP5LBsa54sHzAg/kDkjJh7I3xbA/P8nANF8dwmOdzVtmKjtPhzugOO+HOe976CCFY5kvm6ZxVvsLQDCzDIrADLN2i63Qf2zmkUCgUCoVCofja87Qa7D8QQnzXB/JkXwXPSwC6RAhBXufv6ugBucJmGzaWbmEZFhpaG4Qa0aBp8jYlqZI2WDRNQ93UZHVG2ZTt6+joOKa0mXWcjlxXszxMzSSvcyaxNKLN0hmmYbIb7rLX3WPsj9F1GYTqpmZdrElKeRcT2AG2brPIFsyzOfNsTlqmCCHkyh4aaMjgYdp0nS62YbPKV6zyFet8zXl0zrJY4phOe2NkGRaLdMHR6oi4jBn5Iz6y+RF8y0fT5etqaJxGp+wv9pmmU6q6AiApEgzdYOAP2Al36Ht9NDQm8YSL+IKyKdu+oziPuUgvWOZLPNNju7vNd+18F9+28W2tmnyRLthf7nOenKOjM3SHNKLBMAw2g035HPEpSZGwGW5yZ3CHrc7We0oSsiprQxB8obDWNOTf82URq0KhUCgUCoXi68/TBqC/DfwPQojf+yAe7ivleQtAX0xRF+RVTtmUFHXRBiKgFRzUTU1e57JEVTMxdEOWipYRRV0AMlhVdUVey9fKqoyyLrENG8eUdjnPfGSYswM0obHMl7JjJ7nA0OWb/Kvdq4z8UTvdqJqKqIjaIORbPqEdUjYls2TGyfqEWTYjqRKauqHrdjE0g1rUdO0ufbdP0RRUTUVWZRwsDzhYHVDUBYERYFs2pmEiGjk5WaQLDN3geu86m8EmlZCa8A1/A1MzOYqOePP8TU7jU8pa3uiYuklohwy9YavcTiu5grfKVuiGTtf6QiA7T86ZJTM82+PD4w/ziWufkH1LmkFRFxytjziLzojyiKE/JLADLpILAjtg09+kqAvOkjNEI9jr7XFrcIuRP/qSv9tGNCyzJat8RVql0vhn2Gia1koqOk5HqbMVCoVCoVAovs48bQB6FXgJeADEPNJiCyE++oyf84l43gPQOxFCUDUyxORV3gYiTdMwNEP22zzq+dHQMHUTgQw+aZXKicwjo9vlm+yqqdreHqEJDM1oJ0SOKfuIkjLhLD5jmkypm5qhP2Svs8dmuIlv+Zi6+SVB6DJY2YZNVVUcRUc8XD6UvUS6TcfuoGkauq7TsTuAXI9zdZe4jLk7u8vZ+oy8zgksaWq7DIGrfEUjGobekOu96xiaQUXFZrDJdrBNUiUcr4753ORzzBIpPjB1E9/02Qw22+lXUResihVRHrW3QL7lowmNdbHmwfIBq2zFZrDJ91z9Hq73r9Nx5LQsL3PuLe4xT+YETsDV7tV28tVzpFBhna+ZZ3N80+dq76rsYnL7X3IflFUZi0xa6kzdZOANMDSDuIzRNb29EVIoFAqFQqFQfH142gB0/b0+L4TYfwbP9hXzvAQgIQSn0SnAu94ga4/qkhrRIPjSn23d1BR10UoODM1A13QM3cDAwDbtVk5g6AZJmbBIF61pzcRE13VMw8TQDIQQNKKhbMo2XAkhpyhN0zBLZ0ySCXmdE1ohe909rnSvsBVsSetaUxMVEXmdUzVV+99wueJ1sj7h4eohURHhmz62aeOZcg0NoBKVLBu1O8yzOQfLA45WR6RV2qrA60aKB7IqwzVcdjo7eJYnO3pMh9uD23iWxzyd87mzz0nr3KP7KE/38B2fDW+DgT/A1E0m0YRFvqCqKzzTw7Xcdpp2kV5wf3EfQzN4ZeMVXtx8kb7Tb9XhD1cPeWv2FoZmcKt/i57T4+HqIetiTd/p49s+cR4T1zEjb9SGtI7z7v6lRjTM0znTZIpAsBVsEVgBq2JFURfvklcoFAqFQqFQKL62PLUFTtO0TwJ3hBB/T9O0DSAUQtx/xs/5RDxPAWhdrNt/B94VeC6nOrqmy39/FExqUVM3NbWoKeuSuJTdPUVdIMQXpj2WbkmxwqOpTiMauVKWLShqaVYzNAPf9uX05lHpqq7prS2tElUrN5jEE07jU9b5GiGkDvtq7yq7nV0CO6DnSuX25aTqMhBZujTUHawOOFwdtmtqlmYxDscM3IEMe0JgGVar0j5YHnAUHbGIF5RNiaVblKJkkUrr28AbtP0/gR2w091hr7OHruncnd3l9enrzJIZcR7LECVqht6QK90rjL0x63LN/mKftEpxdIee20Mgw2BSJDxcPSQtU672rvLS6CU2Q2nKG/tjVtmKfzX5V8zSGZvBJi8NXyJvcg6WB2Rlhmd5ckrVVJiG7EXqu/1WeOCabmuVW2ZLJrEMmFuB7Cu6FEVomqamQQqFQqFQKBRfB552AvSfAd8NvCSEeFHTtF3gV4QQ//qzf9Qvz/MSgJ4lQgiyKmOdr4nKqA0hRV20UxnbsAntkI7dIasyLtILkjIhyiMaGkzdbEtYPdOj63bljYpugwau5eIaLrN0xunqlNP0lLRM0dAY+2O2w202g01ZZmrJ25a0TFnmS4QQeJZHVmWcrE+YxBMW2YKkTLB1m53uDlc6V3BMh6KSa36u5VJUBYfrQw4Xh0zTqexLehT6qqoCA0IzxLM9QidkJ9hhK9xi5I5YFkvenr/N0fqIVSp14lVTIRBc7V1lr7OHZ3scrY44Xh+jaRoDe4BlWpS1XL07WB6wyBe4psv1/nWu967zwvAFXt54GQ2NN6dv8sbFG5i6ye3BbUbBiEW24GR9Ql7l7WSuEQ1Df8iGtyF/NqbdWv+6Tpe8zjmJToiLmM1gk81gszXtqWmQQqFQKBQKxdeepw1AnwW+A/hDIcR3PPrc59QN0AfHpUShairKupQa6zKmqAs0NDpOh77bxzGcVrMdFRFpmVJUBVmdscyWNKLBszy6ThdDN3AMOW0JrICiLuR6XDxhmS0p65KRP2K3s8vAG+CZUhtt6qYMLI+mQZchZ5EvOFmdcG9xj2W6xDZtbg5ucqN/g9AKyRsZ4izdwtRNTtenPFw9ZJbMSEppvouLmKzO5ERJt+i7fW4ObrLT2cExHAzdYJbMOFgdMI2mrKs1VSXvoxzLYcPfoGt3MTWT8+ycvMxbSxzIdcNJMuFofURd1fTcHuNgzO3hbb5797u50r3CeXzOq9NXpSDBG3Ktfw3HcLhIL5jEE9IypRY1pmZiGRbXe9dbqcSlsCK0Q2zD5iQ6YZkt6bk9NnxZmvrOaVDP6SlltkKhUCgUCsXXgKcNQL8rhPi4pml/KIT4Tk3TAuD/UwHoa0sjGtJSmtAuJwuX5amhFUqTnKilWKGRpaGrfMU8m5NXeduBY+gGtiGlBoEdUDYl5/E59+b3OE/O0dDkKlcwxtZtdF2u713a7SzDYivYYifcoRY1SZlwb36P16evM4kndKwOe9099vp79OwelahIy7S9KVrkC46WRzJcFClZnZFUSXvrFFgBt8e3+cjWR3AMh7IpEUJwvDrmeH3MMl+S1zmikeuEtmHjWR4NDXVdtxOzy6CnoREXMbN0xrKQodAxHEb+iG/f/nY+tvsxNE3j4fIh83SOYRiMvTHbnW3qpuZkfcIiWxAVkdR1a9Bze9wa3GIr2KIRDVmdYWgGoR2yzJbMMtlxNPSGDDx5t6SmQQqFQqFQKBRfO542AP00cAf4M8DPAT8K/E9CiP/qWT/ok/CtGoDeiRCCpEyYZ3OW2VKGId0gMAN8W1reLnuEsjJrizxrUeOZnrwLQhA6IUN3yNgfYxomh8tDXp++zjSZYhs2V3tX21JVXdPb1bu4iLENm93OLle6V/BNn7iMeXv6Nnfnd1nna2zDZuAPGLgDQitEaPL3zDZsLMNilsw4XB1yuj4lrVM0oRGXMaerU6IyYifc4eN7H+dG/wZFI9cBszKTSuv1GUmdYJPLs1cAACAASURBVGkWtmUjGoFjOAgEaSlDVV7mmIZJ6ISYmBiGQV7lcupUZXJ9z7DZDDf5+N7H2Qv3iMqIeT6nrEsCK2Cns0PP6ZFXOSfxCatUFsDmpZzQbQabvDB4gb7bp6Zuw5Wpm8zSGXEZ45puez9U1AXrfK2mQQqFQqFQKBQfMM9CgvBngD/76MN/JoT4v57h831FqAD0bupGTmEW2YJlvmwnQx2ng2u46Loue4eqvA0vl6txlxpux3AY+2NG/oiO1eHh8iF3Z3eJyghTN+VtkNNrp0ZVXcm+oVT2DQ29IVc6VzA0g0k84SQ6aRXcpm7Sdbry65qKqqmwDZsNX/b0nCfnHKwOOFmdkDUZmtC4iC84jo4xDIMPjT7EJ69+kkEwYJbOyKuceSLta8tiSVHJNTTPlLa4wApAwCpfMU2mrLKVnM44oZwIGRqiEcSFlE/U1GiaxrXeNV4avkTP65GWKatihambbPlbbHe2sXSLqIiYZ/NWH77MlzRNw05nh6vdq63swNANXNNt7Xd5lRM6ISNPrs6paZBCoVAoFArFB8uzCEDbwMcBAfyeEOL02T7ik6MC0PvTiEa+SU/nrPM1ZVO2dz+WYbXK67iIyatcrsPpNqWQRauWbtF1uwzdIaEVcpFdcBo9Msch2t4d27DpO308y+M0OuUivaBqKlzTpet00dA4XZ+yLtaUdYmhy/WwgTtAN3RWmSwSDa2QjWADx3Q4Wh2xv9hnGk/lBKfKOVofscgWdJ0u37n5nfzJm38Sx3SYJBMW6YJFtmjFEZfmup7TY+AOGHpDbN1mmk55/fx11sUaQzPoe/22/HVdrGlEI4UTZYFjOVzrX2Mn2CFwApbZkqRM6Lt9rnav0vN6NE3DIl+QlillLctj18UaUzfZCXcY+kMcw8E2Za/SpVlvns3bP9NxOkRFxDqXFkHXdAnsoDXLKRQKhUKhUCiejqddgfsPgL8O/N/IEtQ/BfwNIcQvPusHfRJUAHoyLsNQVESUdYmpm1KnTUNWZUR5RFqliEag6VK7ndc5RVWgaRqO6RDaYVusejm10HnUQaQbaJpGaMnJStVUbRDRNR3P9IiLmLP4jGUm73YCO2DL32Ir3GKRLzhPzqnqisAKGPtjXNPlNDrlcHXIRXLBOlszy2SPUVzGDNwB37P3PfzpG3+ahoaj1RFn8RlxGZOXeVtQGpgBw1CGuIH7/7P35kG25md93+fd17Of3vv2vbPPaEZYAYndDjKxHRCLTYW4UiIkwhUqZbANVEK8VMpxJQFMYjsssg2qlMuOU7LBUGFzABclzOJgDERBSDODZjRzb9/ezjl91nfffvnjd/vV4pHmau6dGWbm95nSH7e77+m3uyVVf+d5ns93gGmYPDN7hhcWL8hyWU0wcAYMvAFlU8qvSTfRNZ1VviK0ZTDbC/fQ0FjmSwzd4Eb/BmN/jGVYZGUm74KaiqRMmMbTtpx1O9wmsIK2M8mzPEQj5NcrKg46B4z8EVVTtZOoKxFEYAd4pvfvla8qFAqFQqFQKO6eew1AzwJfLoS4vPPnEfBvhBCP3fcnvQtUAPr8EEIQlzFxEVOLGku3sA2bsimlia2U0yCBoGoqmuaTSm1DN7AMCwBTM6Wqu9hQiQrP8HBMR/YW3QlQ+519fMtnU2zkepmoEY1gns3ZZBsuogvyJie0ZSHr2BtzEV/IHp0mxzd9+k4fx5QWtrPNGYt0IVfSsjWnm1OSOmHL3+JPHP0JvvL6VxKXMbdWt7iIL6jqikUq76Js0+YgPMC13fbrqMqK55fPM0/mrIs1tm63dzi2aTPyRgRmQFql7frfVrDF2BuTVPLrOeoesd/dxzVdBEIa++qylUnM0zkC2bO05W1hmbIbKXRCdE1nEk8om5KdYIeD7kHb25SUSWvb0zVd3QgpFAqFQqFQ3AP3GoB+BfgaIURx58828C+FEP/RfX/Su0AFoFeGEIK0Stnkm9aeZus2RVNIcUCVtWEoKzMAbMvG1V1cy8UxHHRdp6or1vmaTbGhbmp828cxHOpG3tIEdsBh9xBbt4nLuO3viYqIdbZuLWmNaOg50qa2G+4ySSbcXt9uxQFXtzyTeMLp5pR5OqduaubJnNP4lLIq2ens8O6jd/PU3lPkZc6LyxelGCJfcbY5o25qrnWvsd/dl6todU7TNMRFzFl8xjK902VkSpFCWqVc68qyVN/yKZqCdb6mEU278lc1FaNgxMODh+k4HSzDaqdeAEmZcHt1W95AiZqRO2Ir2MK25NqgZVicR+es8zVDb8gjo0c+rSg1r3I2xaa9Eeq7/fa1FQqFQqFQKBR3x70GoH8CvB34GeQN0DcCvw38IYAQ4u/e16d9GVQAujdeKgg5htOqruNCTouW2ZKkSiiqAsuQU4zADuQNkG5Tiaq9wbmSKggh0DQNz/Lou312gh1c022ta3mdywlNvmKTbrjMLmlEQ2iHXO9fZ+yN2RQbZsmMqqnwbV92ClU5x+tjTjen7W3TyfqE28vbaLrG8jeWfMM3fgNPPPAEvuXz4umL/Kuf/Vc8+jWPchld0nE7XOteYxSM8EyvDTWLdMH55px5Npca8bpmmS/lGluwzTgYM3JHlKJkkSwwTRNbt6lFTd/tc713nd1wF9/2W8FDYAW4pss6X7dGvaqpGLgDDruH7HZ26bm9tsDV1E0eHT3Kbrj7aWtvVzdCyhinUCgUCoVC8flzrwHob36u9wsh/tY9PNvnjQpA94ertauoiKhFja7pWLqFZVhod/6JyohlumwnPmVTYmomHafD0B1iGiZpKdfFrm6KNLRWvtBzexx0Dui5vbZUNS1ToiJqu3XW2Zp1vqZsSjzLYy/cI3RCFumCZbqUUxR/RNfuss7XnG3OmCZT0iolzVJ+7oM/x2/++G/SO+zx3v/1veyEO/z4X/5xTj5xwrf99W/jHd/wDs7WZ8RlTN/p03E67IbS6mZbNkVVcLw+5tbyFo1o5C1UlZPVGbYuVd6H3cN2ylUK2UsUFRG+7bPlb/Hg8EF2/B1MwyQqIgzNoOt026/jmdkznKxPSKqEnWCHG4MbPDJ4hKqpeHr2NHERs9/d56HBQ58WdKqm+jRjnJoGKRQKhUKhUNwd92yB+6OECkD3FyEEWZVJE1pdUDUVAvnfCV3T236dK3HCMluySBcIBCN/xE6wQ1EXpFUKAjldunMDlFWyILTrdtkP9+m7fUInxLd86qZmna+ZJtM2PGVVBkIWjY68EYZucBFfcJlcyoLWcAfP8riIL5jFMy6TSy6nl/zwd/ww05tT3K6Lpmmkq5TtG9t899//bq4dXEMIwWVyKacxdYWhG5imyfXOda71r+EaLpN0wtOTp5nFMwTyrimvc2hoteLbwTYDd4Bt2lRNxUV0QVZl+JbPfnefx8aPMfAGAKRlimd5rXHuMrnko5OPcrw+pm5qdsIdHug/wE64wyyeMUkmhHbIUe+IoTfEMZ32Z/Sp06DQvqPzVpIEhUKhUCgUis+KCkCKu0YIKUO40kpfCRIMzfi0O5fTzSmrbIWu6WwFW4R2SCMaAEzdpKgK0lrKC+Iipkb2DQ28AUN3SMfp0HN7mLrJIl1wEV2wzJZtT1HH6bQBKykTaYZLL0GDbX+b0Ao5jU85Xh5z+/Q2P/AtP0C8jAHweh7v+7H30el3MEyD0ArpWl3yJm8nX0kp1/tGnRGPDx/neu86uqHzzOQZnp49TVqn6EJHIFgXa6q6om5qxv6Y/e4+B52DdtVtEk/IahmEjnpHXO9fZ+AOQIOmaXAtV64QWgG3N7d57vI5JvEE27AZ+2P2wj3QYJ2tEQjG/piBN5BdTqYLyGnQlU3vqlvp6n0KhUKhUCgUik9HBSDFK+ZqQpRWaRuGbMMmsAI2xYZby1usshWWKVfnDN3A0Awcw8HSLYQmaJqGTb4hqzJqUQO0K3KhEzL0hnSdLvNkztnmjHk2JykTDM1g4A3oOl0G7oCkSjjfnH9STOD2Ca2QZ24+w1/42r9AtIgAGYC+5R98C6PRCF3T0dCoRY1pmji6nKyYuklSJszTOZZm8eDwQZ7ceZItf4tNseHDZx9mEk/kDZRpkRQJ02RKXMSYhslOsMNjo8ekyU3XWWQLLuPLNugddA7kvY/dw7EcdE1vi0+zOuOFxQucrE/klEnAyBvh2R4aGrZpy04mp4tnea2OXNM08ipnla+omgrHcOg63dbUp1AoFAqFQqGQqACkuC80omlveGpRt7a2qIiYxTM25abttWmaBkMz6Lk9XMuVU6G6IKsyyrpE13W58gatiOGqe2edrzleH7NMlpSibAUMgR3gG9LOdplcklQJs+mMv/atf42bH79Jb9ijFjXRImJ8NOYbv+8b6Q679N0+hi4nWGmVAmBplrzrETUX8QVRETFyRzwyfoSj/hEdp8PZ5ozn5s9RViWWbtHQMIkmnEQnJGVCaIUc9g5529bbGAdj6rqWyu9ig2gEoR2y09mhY3foOl0c08G3fAbeANdwOY1OOV2fcplekpYpmqbhmz6u6RI6YXs75RgOhmbI74EVAHIKd1XkevVz+NS1OYVCoVAoFIq3MvcqQfhB4H8CUuAXgT8GfJcQ4p/e7we9G1QAev256haKikga4Ex569KIhqRMWOdrltmSaTxlna/lL/aWT8+RK28CQVVXNDTtjVHd1FIgoBts+VvsdfbIyozj9XFbOGroBj2nR2iH+LaPjs4H/uEH+L6//n1cf+Q6f+f//DvoQue73vtd3HruFl//V76ex77mMfI6xzVdBu4AgUBHlxrvuqbn9ehYHS6SC6bRFE3T6HpdDsNDxuEYUze5iC5YZAtoIHAC0jzlZHPCLJkRVRGBHfBw/2Ge2nmq1WfP4hlxEWMZFnudPYb+UE5yDA/LtOi7fbb8LYpahrmTzQnTeEpcyjU+W7dbycJ2sI1v+VSiau+RPNNDIGUMSZnQCNnfFFjS1KduhBQKhUKhULyVudcA9GEhxDs0TftzwJ8Fvhv4kBDij93/R315VAD6o0MjGqIiIi5iBALXdPEtOcFoRENSJKzyFSebEybRhKRKcA2XwAwQmsDUTDRdaycfvuWTlimLfEHTNHSdLrvhLoZmMM/mXCaXxGWMruntVKXrdPngP/ogf+br/wx212aezllcLvjVX/hV3vPe93AWnXGyOmFVrMjKjMAO6FgdalETVzFlVeKYDmNvDMBFdEFaS6FDaIdc614jdEL5vviCVbHCwsLUTJbFklWy4iK7IMkTQifkqfFTPLXzFENvyGV6ye3oNlEmQ9JOsMN+V8ogrr5fe+EePbdHWqXM4hnH62PmyZyoiKSMQdMIzICD3gE3+jdaXbmpm3TsTqsfT6uUuIgpmxIN2ccU2qGyxikUCoVCoXhLcq8B6KNCiCc1TfsA8FNCiF/UNO3/UwFIcUXd1MRl3E4irta1fMtH13Tqppa/4CezduXrSrVdNiVN04AGvuUz8kYMvAF5JTuDkirBMR0G7oC+22eTy56gTSF7jDp2h47dkZMcu0NRF0yTKatshYaGZViUVcnJ5qRdqyuaQk6RLJ91sSYtUhzToet2GbpDACbphLIoyZqMri2D2F5nj1Wx4mR9wjpfY+s2IAUFl/ElZ9EZURUx8ka8c/edfMnRl2AZFsfLY26tb7HMlrIoNjzkaHCEYzjYpo1v+ewEclUur3POo/NP3kIVd2x6GHTcDk9sPSHNe4009lm6RWDL7iFd09sup7RK26CoJkIKhUKhUCjeatxrAPoB5OQnBb4Y6AM/L4T4kvv9oHeDCkB/dLkSJlyVngK4ptv+5+oX9HW+ZpEuiPOYvMlJioRlLg1wmqbRs3uM/BEjf4RlWLJwtdhQ1bJotOf05JpZMmOdr9sg5Js+2x1piMuqjIv4gnWxxsJC0zSyKuM8Ouf5xfMssyV1UxOYAZ4ly1EBOk4HQzcYe2Mc02FTbIjzmKiM6Hk9Huw9yFa4xTSe8uLyRTalvPfRNR0amMZTbm5uktc5N3o3+LJrX8bDw4dxDIezzRkvrl5kns7pe30eHDzIdrCNqZu4pkvX6TL2xwR2QFzETJMp00iGuaRKWKZLTMPkoeFDPDJ6BEu3qJqKWtRoaO2NkWM4VE3FOl8ra5xCoVAoFIq3JPcsQdA0bQCshRC1pmkB0BFCnN/n57wrVAB6Y1A1FUmZkJZpa36zDRvXlEroWsgeoKIuWsX22fqM4/WxtLw1DaET0vf67HX28E2frM7YZBuSOkFHx9Ed8jpnk29YZksaGgI7YDfcZb+zD0BcxKzyFVmVUdUVpmGCgPPNOR+ZfoRVtkI08iapEhWarmEKE93SsXWbbX+bjt2hEhWzZEZSJWwH2zw5fpKBO+DW5hYn6xOW2ZKszOTrN/Dc/Dkm6QRXd3ly50me3H6Sw+4hAOfRObfXt0mqhF1/Vxag2h66obdTsLE/xtItVvmKVbZilsxYpSturm6S1il7wR5Pbj3JOBzLcIlOVmc0ommNc4EVtN/nK2vclXpcoVAoFAqF4s3MvU6AfOB7gCMhxLdrmvYI8JgQ4ufv/6O+PCoAvfEo65KsyqQBrikB2l/QBaL9Bf3qF/NpPOV0c8o8mSOEwDItPNNjL9xj5I0Qmpw0xWVM1VTSTlekLLMl83yOb/gM/SFHvSN6bg9d08lKOZna5BuKukDXpR779vI2zy2fIykToiwir3NqajRx59bGMPFMj4E3oGf10DSNSSr12Pu9fb5o74twDZfjzTGnm1Nm8YyyLgmcgLPVGR+ff5ysztgL9nhs6zEOO4dsBVvUTc1ZdMZldomBwX5nn/3OPo7tyHBnOGyH2xx0DloNeVZlrNIVz82f43h9jGM63Ojf4Eb/BiNv1H6tVyW0V8pyz5R3QlEZIYSg5/bwLf/1/K+EQqFQKBQKxavKvQagfw78LvCtQoinNE3zgP9HCPGO+/+oL48KQG9sqqYiLVPiMm7NZaEdtof8RV0A8q5okS5YZAsW6YJNvqESFZ7lse1vsxvuMvbG1Mj7oqquyKqMWTJjEk9Y52u6TpfDziH73X0c06ERDbWoKauSZb6USmwhV/fOojMuk0vmyZy8ycmqjKIsyKucrM7QNR3Pkra7vtMnqzJ5B2TZPDF+grdvv52yKTmLzjheHpPUCV27S5RH/P7k95lsJui6zsPDhznoHtB1uoRWSENDVEas0hW+5TP2x4z9MY4l19g8y+Ogc8DYH1M2JbWoyaucSTzh2dmzrPM1A2/ATrDDte41hv6w7Qa6+j5XTYWuyYlW1chJl2u69N2+kiQoFAqFQqF4U3KvAeh3hBDv1DTt/xVC/Ad33qYkCIp74jPNZbqm45kehm5QN3VbmppXOWVTkuQJs3TGJJmwyTeYmknP6XHYO2S/s49pmDRNQ9EUnG/OWaQLptGUmpqBP2Db35b9O6aLoRttYJpnc9IyRUdH13RW2eqTkxlhkFQJaZESVzFN3cheHsvBNmzyOmedrdHRGQdj3nXwLkb+iLzMeX75PHEZ4+kepmHyh5d/yLPTZ8mbnJ7d49Hxo3TdLo2Qa3ue4ZFXOUmZ4NouQ2/Ilr8F0EobtgO5jmfqJrWomadzjlfHnG3OqEVN35XrgjvBTlsg65hOK0a4mgrVzSdXEvtuX/UHKRQKhUKheNNxrwHo3wBfDfymEOILNU17CPigEOKL7/+jvjwqAL35KOqCqIjIq1yqn9GwDWlYq5uaWtTyF/e6pqgLFtmC8/icaTwlLVM8y2Psjbnev07f7aNpGpt8wySaME2nsl9IM/Asj4E7aFXdV91FcRGzKTZsig2e4WHqJstsyUVyQVzE1HXNMl9KcUMRY2gG28E2fbdPVETMszllXeJbPtd613jb1tsYuANO4hOm0bQtcl0kC37v/Pe4vb6NqZtc713nRu8GWZ1RNAWBGUgJg2aQ1fKeaOgPGbrDNvT4lk9ohQR2gKmbVE3FJJ4wiSZcppeYusmWv8VWsEXf68veJCfEMz35tZYxcRG3pbRXhr2O01HTIIVCoVAoFG8a7jUA/WngbwBvA34Z+ArgfUKID93vB70bVAB68yKEoKgL8lquoFVNBYCpmfKXc03eE11NMeIyZrKZcB6fsy6kxS2wAo66R+yEO5i6yTyds87XrPIVZV1i6iaO6eAYTquQBtobpbRIqahaTXfVVER5RFZnJEXCJJlwsjphXUoN9kHnAN/y2RQbVsUKA4Ou3WXoDbk+uI6GxiJbYBqyt6duam4vb/PRy4+yTJcM7AGH/UOG3pC8zqmaCtuw6TgdhBA0osG1XFzLZeyOGfgDEGAaJr7ly++NrpOWKfN0ziyZkVYpHavD0B8S2EFbpBrYAZ7poWkacSGLbFf5iqqpCC0pnAjtUEkSFAqFQqFQvOG5Hxa4EfClgAb8lhBidn8f8e5RAeitw9UqXFImbcGnbdjomo5AtOtxaZkSZREXyQXTeEpRF+09zVawhWd6pFXKKluxzJbohk7HkhMP27Dp2B1cy2WRLYiKqO3eSctUWtV0nbEzBh2SKiEuYi7WFzyzeIZ1vsYxHAbOgJpamuDuaK1DM6Tn9/Asj6zMsExLaqp1hyiPeHb+LCebE/Iyp+f02O/u07E6aIYMXwKBiQxstmm3drfr/ev0nB5o4BgOpm6iaRpJmbRfY1IkGIZBx+60q247wQ6WaWHqJrZhY+s2ZVMSFVGrE/ctn74rg9DVFE6hUCgUCoXijca9ToB+RQjx1S/3ttcKFYDempR1KbXaVdrKE3zTx9RNiqZoDW9xETOJJ8ySGXmVYxkWnuUx8kZ0nW57O7PJN1iGBQI0TWPgDnhg+AC+6XOZXnKZXLLO11zEF2zyDVmZsd/d57BzSEPTShSO58fcXN0kKiJ0XcfQDNJSFqt6pkfH7jD2xriOS1VVGJqBYRo4hoPWaMzyGTcXN7lYX5CREZpyErPf2SewAipRsS7WGMLAtV058TF0Bs6Ag84BPaeHa7syxJmu7DqKzznfnJNWKV2n2xa2osF2IAUSmqbRiAaQEzZDNyjqgk0hLXme6dF3+0qbrVAoFAqF4g3JKwpAmqa5gA98CPgq5PQHoAv830KIJ+7ykxvA7wAnQoiv+4z3acAPAV8LJMB/KYT4vc/1eioAvbW5KluNS3nHomuyO+dKqZ2UiVx5y1ayRDRfkZUZjdZg6RZd94597c7tz5UhbVNuWkX0w4OH2e/sk1QJ82TORXTBs5fPMk/mWKbFQ4OHOOgckFapNM5la84358zTObnIScuUtEip6xrHdnANl51gh6E/pBENjumgaXKa5RkeCDhNTjleHzOJJ5RFiWnKG6GHBw9j6AabcsNleomjy9erqXFMh8AKpDAhkHc/Y3+MZ3qcbk5lF1E8oeN02PK3MDSDdbHG1E0OOgfshDtYhkVSJm1PkKVbpFXKOl/LGyHDYeyP6XvKGKdQKBQKheKNwysNQH8F+C5gHzj9lHetgQ8IIX70Lj/59wDvBLovEYC+FvhLyAD0JcAPCSG+5HO9ngpAiiuu5AlZlaGh4Vkeruli6zZFUxDlEdNkyiyesSk25FVOJeQv+qETYus2jWhoRINt2NIKl86pmoqBO2An3GE/3Mc2bZbZko9efJTnFs+RFAldr8uN3g12g11WxYpJPGGezlmkC/IqJ8qkHCGvcypkyOpYHQ47h3S9LgCu7iI0gWu60h5X5ZxtzjheHXNrc4s4jRkFI57aeYqj/hFlVbY3PlcrammVYukWmqYxdsfcGN7goCu12UIInp4+zQvLF8jrnN1gl+1wmyiPiIoI27TZ8rfYCXdwDIeojGhEg2/5bRCaJTNppjNctoNtht4QXVdBSKFQKBQKxR9t7nUF7i8JIX7kFX7iQ+AfA/8z8D0vEYB+DPhVIcQH7/z5WeCrhBBnn+01VQBSfCZVUxEXMUmZfJpFzjEdTM0krVIuk0suU7nWFpURdVXjWHKComkaCNA1ncAOSIqERb6gaRoCJ2DgDtjyt/Asr50Gna5OqbjTp+P06Tt90GCaTImzmLRJqapKhqJiQVEVbPINhmbQd/rs9/YJ7RBDM0jqBFuzGfgDOnaHRjSs0zUfmX6E5y6fA+Cwe8g7dt/Blr/FLJUhCKDn9LBNm7zK2x6lsTfmqe2nOOxJucIsnfH85fNcRBc4hsNuZ5eO02GZLcmqDNdyGbpD9jp7rSABILSlPW5TbDiP5EqdbUjxw8AbvG4/b4VCoVAoFIqX414D0Le+1NuFEP/kLj7xvwC+H+gA/81LBKCfB35ACPEbd/78K8B/J4T4nc/4uG8Hvh3g6Ojoi27evPlyn1rxFuSzWuTuSAmqumJTyFWyRbogKROSKsHRHUIrRNM1dHQM3aBpZGlqXufomrzt6bk9Rv6Iqq44j8+5TC7JSilpqKnRhIalW+1KXVZllHUpV/bymKRImGZTNvkG3/TZ9rc57B/iW35buGoZFoEV0HN6dOwOy3TJrx//OrdWt7B1m2v9a7xr910ETsBZdEbVVDSiYTvYpuf2KJuS8+icoioYekMeGDzAXmePjt1hEk+YJlId3nN67AQ7oCGnY3WOZ3rshrvsBDttGaypy74lx3RYZStON6ftBOpa9xqe5b3OP3WFQqFQKBSKf597DUCfOv1xkZ1AvyeE+E9e5u99HfC1Qoi/qGnaV/HSAegXgO//jAD0vUKI3/1sr6smQIq7pW5kgLkqWzU0KR+oRd2uu13JDq5WyVzTBeQ06Go97qpvB6R1ref2COyATS67gzQ0GWBKeZuU17m8M6Jhla9IioS4jBEIyqpkGk85iU4oqgLPkqFjv7OPa7kUdYGhG1iahWmYdB2p1H5x8SL/9va/5TQ6xdAMjnpHfMHOF2BpFmmTEhVyfW0/3OdG7wZpnTJNpmRVRtfuMgpGjL0xtmGzKlbMkzme5bEdbOOZngyNZUbZfLLPaOAOSCp5H+SaLj2nh67pTJMp59E5VVMx9sccdA4wdOP1/FErFAqFivMBvwAAIABJREFUQqFQfBr3rMH+jBfrAf+HEOIbXubjvh/4z4EKGZy6wE8LIb7lUz5GrcApXhPyKm8NZ7qm4xhOK1RY5fKG5+pOqBENpmZSiQoE1KLGNuy2oFQ0gtANGbkjTN1kU24o6xJLt9oS1UW2QEOjY3dAwLJYsspWiEagazrLdMmt9S3Oo3Npq7MsRt4nQ4pnegy8AZZhUTc1oRMytIfcXN/k3538O84i+T+Rvc4ej40fo2t322Cj6Ro3ejd4ZPgIVVOxzJYAOKZD1+3imR4CwTSZUtYl2/42A29A1VRkddZ+D66mRKETUjc1mqYR2qGUOKBxFp0xS2ZYutXeB1mG9Xr+mBUKhUKhUCiA+x+ALOD379YCd+fvfBUvPQF6D/CdfFKC8MNCiC/+XK+lApDiXihqeYtztdrmmXKF60qjPc/m0uJWptSipm5qyrqUk5k7E6QKWY4K0HE6jPwRQgjiMpZhxQop65JNuSEpE1m+qjtousZ5dE5WZrimi67rzKIZk2jCLJuRFAm6Lq12vunjWA49p8e1zjV82yet0lb0cLo+5WOzjzGJJ9RNzU6ww+PDxwmdkFky4zw5bzuDrneuU1GRlAmGbhBYAX2/j6mZXEQXRGVEYMrCVMd0aERDVmdkRUZDQ2iH9N0+nuXhWV5rg7N0i7IupbmuKbENm67Tpe/2cU0Xx3SUOU6hUCgUCsXrwr2uwP0ccPVBOvA24CeEEH/183iAr+JOANI07b8GEEL8wzsa7B8F/mOkBvt9n3n/85moAKS4H5R1yabYtAY535KdQnmds8k3JEXSdv0UVUFd16R1StVUWIaFozlsKvn3bc2WhaeGJ/uK6oSmkdrtuqnJmgxNaOiajq7rREVEnMuVOFMzWZdr8iL/tLLWBlnAaus2pm4y8AYcdY/wTZ9CFLiWS93UXEQX3Fzc5Cw6QyDYC/Z4bPQYvuNzHks1t2/6HHWP2OnsUFYlcR1j6ia7/i474Q5xGct7IlExckcEdoBt2JiaSU1NWkq5gmmYhFbIVrBF3+1TNRVlU9KIhrRI5XTszv9VeKYMS6Ed0rE7UjShUCgUCoVC8RpxrwHoP/yUP1bATSHE7fv4fJ8XKgAp7idVU7HJN6RV2gYh13TRNI2szFgXaxbpgkW6oGoq6qYmKRMaGhzdAWh1154pC1dd05U9RU1BVVXkdY6GJm97DAvHcEiqhCRPqEWNqZuySyg5RzQCx3BY5ksW6YKsztCFTkODa7psd7Y56hxhG3bbYVRTE+cxn1h+grONDEI7/g6Pbz+OoRmcbc7I6oy+3Wens0NohcRVTFzEeJbHjf4NxsGYZbYkzmMsQ95CGZqBbdjSVqcbpLXsN2poGDgDjvpH9NwejWiIioikTCjqQoYgIb+3VxOnnttr76sUCoVCoVAoXm3u6wrc640KQIpXg6qpiIqItEwRCAzNkCtfplz5WmUrpsmUeTqnqAqyOqOsSjRNw9RNAGbJjLzOMXQD13CxTTlF0dBI65S8ynENGSzQQUNjmS4xTRPf9KlExc3FTS7iC2xN3gHFVcwsm5Fm8rnSJiU0Qg76B+wH+5iGiWiErCnWIC1SjjfHXEQXCATXutfY7+5TVAXLZIkwBD1b2uws3eIyuWRTbRi6Q466R3TcDmVdoqPj2z6NaCibspU/OLoMZ8tsiWmY7If7HHQP6Dgd6qZmna/J65yiKtA0TT5zmeKaLl2nS8/ttd8vhUKhUCgUileLe50AfRPwt4Ft2l+zEEKI7v1+0LtBBSDFq4kQgrSSN0A/9g9+jK/7c1/H7s4unumxvFzyz/75P+ObvvWbWOR3Ck/ziKy+U8R6Jyxd3RPldS5vjYSOa7sIIWhEg6Eb9JwemqZRVAWrbEXZlGwFW2wH20yiCc9ePst5fI5jOPimT1mVLPKFDFKlVFR7lsdB54DtcJvADMiajKzM5OuWBbc3t4nKiK7T5bB7iGu4pLVc6dN0jZ1gh57bo6oqJsmEtErpuT2G3pDQDDENk57XI7RCkjJpb5D6bp+maVhkCxbZAsdwuNa9xmH3kNAJEUKwzteUjbydupoGZXVGx+4w9IYEdqDugxQKhUKhULxq3GsAeg74eiHE06/Gw32+qACkeC14//vfz3d+53fy+BOP89P/8qcpm5Jvfs8384fP/CE/+Pd+kPf9V+8jKiN5z1PE8m7oThGrZViyGFXIjp2oiJglM2pRIxpBJSos08I3fUInpKplYeoqX+GaLo+NHmPL2+LW+hYfmX6Ey/gS3/CxLEveJBWFlDkUGykfMG3G/liGHN2V6u86pmmkhnsWzzAwOOwdshVsoes6SZUQZRG+5TNyR4yCEWVTcrI+Ia1SfNPHs+UErOf2OOgeYOt22xnkGA6BE8g7pM0FeZNjaAa74S6HXVnAqqERlVErkWhEQ1bJO6G+26fv9j9ZRKtQKBQKhUJxH7nXAPSbQoiveFWe7BWgApDitWAymfDud7+bj33sY2xtbQEwnU557PHH+Ilf+AnGW2MMzUAgKKpCBqEyZp2tWxuca7l07S4CqduO8oi0SomLmFWxomkaunaXrtvFMRzmyZzz6Jy0ShmFIx7oPcDYG3NzdZNnLp8hKRNcwyWrZPlq1VQIIcibnLRMMQ2TA/+A3e4utmlTi5q0SFlmS6bxlKIqCJyAnXCH3UB+TJRHLLMltmlz0Dtgy9siLVJO4hOSIsHSLXkXZbls+Vs8MHgAz/JY5SviIkZDo+f0KOqCeTonKiLQoOf22Av3uNG/gaEbbHKpIM+rnKIuqJoK27Tp2B06TkcFIYVCoVAoFPeVew1APwTsAv8XkF+9XQjx0/fzIe8WFYAUrxWTyYSnnnqK6XQKwNbWFn/wB3/AcDyUquwqbQtShRCUTUlURBR1IYUCRYyjO4RuSGiGJFUiS1nrkriMWaZL1uWaRjR4pse2vy37eeIp03iKZshwcRAe4Fkep5tTJvGEqq5kyWq6YlNsqESFgUFcyBJWy7K41r3GXriHb/jkTU5cxpysT+SNTpXjWR47nR2OOke4lssyXbIsloy9Mdd61/BMj3W2ZhJPiIsY27RxTIe+2+dG/wYPDh/ENuw29FRNRdeRW7GTeNKu9YV2yKPDR3lg+ABFXbR3VlcGPgR0na4MQXaAb/lqNU6hUCgUCsU9c68B6B+9xJuFEOLb7sfDfb6oAKR4rfhsAWh7e7v9mKqpyCt5k5PXOUKIdsIRF1Ivnde5NKE5PQzdoBIVRVlQNjIIJUXCKl9RlAWmJVXThm4wi2as8zWaprET7tB1urim24YSgfxcs3hGVMoQElcxm2xDURXYps1usMtR74ixN6YUJctsKQtM4xlZLRXe+919tsNtDM0gKiIs3eKwf8hOuENd11yml0yiCaWQyuvACDjqH/HY1mM8MHgABJxFZ0RFhKmZhE5I0zRM0gnHy2OyOmM32OUL976Q7XCbqqlIS6n8nmdzkkL2E/XdPqEd4lt+a55TKBQKhUKheCUoC5xC8Xny2Vbg3va2t/GhD33o00LQFVc3LnERUzYlVV0hEKyzNSfRCVEetVrpjtPB0A2SPCGpEnShU4uaeT6nqAt0dAI7ICkTLpNLojyS4oJwh51gBwRcppft302rlEW2IC5jDGEwSSdM4gl5Ja10Y3/Mje4NDvuHBFbAJJHh5DyRxawaUoow8AYUVQEaDNwB2+E2PVsGt2kyZZ7NWedr6rpm5I94avspntx+kr3OHmmVylLUusS3fCzToixLbm9u89z8ORrRcKN/g3ftv4uBPwBkH9M0nnKZXpJVGaZu0nE6rY48tENsw35Nf/YKhUKhUCje+LyiAKRp2vcKIX5Q07Qf4ZNFqC1CiL98fx/z7lABSPFacCVBuAo8QBuIfvRHf5Tv+I7v+Jx/P69yoiIir3Ma0SCEICsyjjfHXKaXlLVUSw/cAUITxIW8G/Jsj6aW8oJa1HTsDpZuMctmXGwuuEwuCayAG8MbbAfb5GXOMl+SFAmNaCjqQgYwUdI0DRebC86iMzbFBk3T6Nt9rvev8+jWowRWwHl8zvnmnHk8Z12s0Q2dkTPC1E0Mw8A2bbp2l8AOcAwHwzBo6oaz+Eyu6QmN7c4279p/F1+w8wX4tt+uBwJ4loeOTlmXPDN7hpurmzSi4bBzyJPbT3Ktfw3bsKmbmkk8YZpMKeoCW7fpOl1s08bSLUI7bPuZFAqFQqFQKF6OVxqAvl4I8XOapv0XL/V+IcQ/vo/PeNeoAKR4rXj/+9/PN3/zN7fTnslkwk/+5E++bPj5VK7uXrIqA8DRHcqm5GxzxunmlKiIcEyH0ApJaylIaGgwMcmqjLqpCZyAsT+mbEpeXL7IreUt4iJm5I14aPgQY2/MptwwT+dkdUZe5jQ0GJohy1tFzTSacro+ZZ7JCZNv+TzYf5BHx49i6RZxFTONpyziBZtqI0UGdo+u1aXjdtAMDdeQAcQ2bHpOjziPeXH1IvN0Dho82H+QL7v2ZTzQf4BGa2iaBqEJhJC9So7pkJc5n1h8gpvrmxRVwcgf8WD/Qa73rzPyRzSi4SKWQa8RDY7h4JpuG4TUnZBCoVAoFIq7Qa3AKRSvM1VTkZQJSSknNZZuYegGy3TJ7fVtVvkKy7BwDZeiKaQx7o4sICkSTN3koHvA0B+yztZ8/PLjnG3OEELQ83tc71xnK9wir3NZyFpK25qhG7KPp5FrdWmZcnN5k0ki1+N8y+ewc8heZ6+93VkXa1bpilk6I6kSOmaH/d4+fbePpVs0osE2bYbeENdwuYwveW7xHNNkimM6PD5+nC/a+yIOe4egQd3U8psgQCBwLRfP8Li9uc3z8+dZ5Ss802M33OWhwUNsh9uYusl5dM46X0u1uG5hGza6puOaLp7l4Vu+Wo9TKBQKhULxktyrBOGdwN8ArgNthbsQ4gvu50PeLSoAKd7IXBWtXt0JaXf+iYqIaTJtRQKO6UihQlNwmVxyvJIygcCUAoLQDplsJry4fpFpPCWvckI7ZDvYZi/cwzAMltmSpmkAqKnJy5y0SmlEQ1mXXMaXTJOpXFfTYOAMGPgDtvwtbNOmrEqW6ZJf+6lfY/ud2/THfbbDbcRG8PSvP82X/tkvZegP2Qv30DWdi/iCZ2fPMk/nDLwBT4ye4OHxwzzQfwDTMCnqov2aLN1i4A0IzIDz6JyPzz/ORXxB3dRsBVvshXts+Vv03B5plbLJpe3O1mXg0XUdz/SwDAvPlGFISRMUCoVCoVBcca8B6FngvwU+AjRXbxdC3LyfD3m3qACkeLNQ1AVJmZBVGY1oqJuatEy5TC5JqxRTN7ENG03TMDG5vbnNC8sXqJqKgTtgv7OPQJCUCeebc26ubrJIF+iaTt+Rumrf9snqDE1o6IaOaISc8GQr8jKnEhVlJfXd83ROpVXY2AR2wJa/xdO/9DS/9CO/xODagD/1P/wp8ibnX/+tf83y9pI/+Rf/JG//urdj6iZ74R57nT1MzeR4fcyt5S3WxZqe2+PhwcM8PHqYG/0beKZHVmekZYpA0LE77IQ7uKbLNJ7ywuIFLuIL0ioltEJ822fgDui7fUzdpBZ1O0FraNA1HVM30TUdx3BaeYK6FVIoFAqF4q3NvQag3xBCfOWr8mSvABWAFG82hBDktSwzzaqMoi7YFBvW2boNQpZmITRB1VQcL4+5SC5oRMNOsMP13nWG7pCojLi9vs2Lixd5fvk8eZUzdIZc61/DszzyOsc3fTRdI69ylumSeXrHOqfr2JpNVEZyolTn2Ng4pcMv/s1fZH5rjttz5bOuc3qHPb7p+76J3Z1dsiajqAoc3aHrdTkMDxEIJulEKrrzCNdyuda/xhOjJ7jWuyZlCVVKUiS4pst2uM3AHbTdQmebM1bZiqzKKJsSQzfaSY9jOu3XYeomOjqapqFrOgKBhqZW5BQKhUKheItzrwHoq4H/DPgVVBGqQvGqchWGrixyi2zBJt8QFzGWYWHrttRlp3Nur24zSSYIIeg4HR4aPMTbd96Ordu8uHqRD599mI/NPkbZlHTsDtc6suBU6DIkAFRlxTJfsspWNKIBA0zkpOV8c07e5Nipzc9898+QrqTZze26vOfvvge/56MbOl2nS9/pk1YpeZmDDj2nx7a/ja7prIs1i3TBMlvimz7jYMwjo0c46Bzg2z5REYEmC1E905OlqFbAptgwT+bkdS4teaKmbmpMw8TSLVzTpef0cEynnQQZuoGuSeucQGDqZtstpFAoFAqF4q3DvQagfwo8DnyUT67AqSJUheI1oBEN63zNLJnJoCDANV0c05FFq+szPrH8BBfxBUkpZQl7nT2eHD/J9f51LtNLfuv4t3h69jRFXRDaIUNvSGAHmLqJEIKqrjA0g6zOWOUyCDWioWoqsjLj5OyEX/7eXyZfy3//4fd93vv330tpl5RNKdfRtIbQCum7fbnKV8vJVd/t03N6NKIhrVKW2ZK0StGExsAbcL17nYPeAZZpYeomruFiGiYCITuTrBDHdFjna6JClr2WdUlRF1iGhUAa5gbegNAKpTDhTlA0dINa1FKrfcdcZxnW6/wTVSgUCoVC8VpwrwHoI0KIt78qT/YKUAFI8VYlLmLOo3M2xQZTNxl7YwJbTkom8YSbi5u8uHyRWTKjqitGwYjHRo/x4OBBsjLjt09/m08sPkFe53LSYnXwbE+GIFFJ3bRuk1UZm3xDURdcTC/4qb/6UyyPlzhdB4B8nTM+GvPn/5c/T+3WJGUCmpxeNaKh5/UIzKAtg72a1HS9LmVTkpWyLDYuYgC6Xpej7hHb4Tbb/jYdp0NohTSaDH+mbrLtb2MZFpt8Q1RGLNMlVVNhGiYGBmmdoqG1prqrKVFgBa0JrxENgRXQcTpKo61QKBQKxZucew1AHwD+nhDiY6/Gw32+qACkeCsjhGgDzybf4BgOPbdHYAXEZcwqX0lr3PKY55bPkZfSDne1ciaE4Dw+5/nF8yRFgmVaWLqFaARlXWKZFo7h4BkeJSW//MFf5mf/t59lcG3AH//v/zhVU/Hr/+OvsznZ8OXf/uV86Td8KTU1URnR0FDXNVmVoekafaePb/vkdY4QcqLTtbp03S5oEJcxaZESFRFlUzL0hvTdPnvhHtf71znoHhBYActsSV7ndN0uA3cAQFqlba+Rrul0rE5rmruSJFxNiDp2h47TQUOjFjW6prfrdkqWoFAoFArFm5N7DUBPAw8BLyBvgDTkCpzSYCsUrxPtalw8I6szhBA4hoNt2FRNJdXR2YYXVi9we3mbpErwLI+DjuwS0oRGVmbM0pm83alyiqagrEuAViBgGia/9pO/xtv+xNuovZqL5ILZZMbN37rJA3/6AUxh4tkePbuHa7qUTUlZlyRVwibf0NAw9sZ07A5pnVKLGld3GYZDxt5Y3vfcCULrfC2Nd5qJbdpsBVs8MniEh4YPoes6eZ1j6RZ9r0/H7uAYDutizQuLF1hkC2xd2ut800cgb6k0TaOu5d3Q2B9jaEZrj9M1Hd/y8S0fUzdf5juuUCgUCoXijcS9BqDrL/V2pcFWKF5/GtGQVXdWysq47dq5+gU/qzLmyZzj9TGn61PiIsY0TIbeEN/20dGxDZsoj1jmS7IqI69yKT/QbFzTvfOvPAAdsiIjb3LiPG4NbVVTUdc1vu23dza6poMG62zNPJtjaAbjYMzAGrCu1sRFTGiFHHYP2Qq3KOuSeTKnFCUGBnEVsyk2NE3DOBjz5PhJdju7cuVNMwjtEM/yWsFBVETcXN7kMr1ECEFohQy8AbZps0gXbXjqOnIC1TRNO/3RNA3bsAmsQCm0FQqFQqF4k/CKApCmaaEQInqZF37Zj7nfqACkULw0dSPvcdIqpagLqrqSkw0N2fOTzLm5vMksmbHO19SixjIsXMMltEIMw5D3P+mGuI7xDK+9n7F1G9u0KZqCtEypm1pKEuqMopTa7qiIZMGpP8DVXYQmBQUIWOUrkjLBMAy2/C0cXU5vkiphYA/Y7ewS2iFJlVBUBV2vS2iGzNIZZ9EZZVMyckfc6N1gK9xi4A1wLEc+l2ET2iFdRwab25vbnKxPqBp5fzT0hpiaySydUYua0AoZ+kMc02lteECr0r4KVepOSKFQKBSKNy6vNAD9CvBh4GeA3xVCxHfe/iDwbuA/BT4ghPgXr8pTfxZUAFIoXp60TNuQY2gGtmFT1DK8zJIZp5tTFumCuIxJqgQhBIEVAFDXdXu303f7OJbDKl8RZRE6OuhQNVU7VambmrzKmedzLuNLyrKk43XY6+yhazpFVaBpGmVdsik3NFWDbsq7Hdu0WaZLeQPkDgntUNrpNEFgBozCEU3TMIknzNIZNDD0h4y8EYe9Qw46B7iWSy1qNDQ6ToeRN8LWbc7iM45XxyRVgq3bDNwBeS314hoagR20lrmrMNSIBl3XMTSDwA5aiYJCoVAoFIo3Fq94BU7TtK8F3gt8BTAAKuBZ4BeA/10IcX7/H/dzowKQQnF3CCGIy5ioiGhEg2/5WLpFXuf8/+y9e7Bm11mf+ay99v3b3+1c+65uSy0ZW9gx4BiGVMBOoAghQ+zEqQKHUMEJRUDMFBkYMpUKTDGQqQT+YMZWDZChBpMMIbG5GUgyoRIzKSDBBckMyIrHsm7dfbr7fOec77rvl7Xmj9Vny8LGlqOW1JLX4+pqn9vX+5yukvSr932f37JccpwfsypXpFVKVmf9LZHruLSq5XZ6m6ZruDi+yAPTB3Ckw1OLp5ilM/Im73t5lFLEfoxAsK7WHGwOWFUr6GAUjthL9vBdn6ZtEAga1aCFpmzKXlIAmLeFxnd8ECCRbEVbjKMxkRdRdiUn+QmbYkNHR+zGbA+2uX96P/dP72cUjihac2c08AZsRWbKsy7XXF9fZ1kujRzBMXKEU92367jm3slxif0YT3g4jpn+hG5I5EXGkCd9OxWyWCwWi+VVwou6AbrXsAHIYvn8UFqxqTbkTd736wQyoFOmUHWWzVgUpnC1VjUODsIRZFXGrc0tjvIjfMfni89+MV9+/stpVcsT8ye4trrGcXZMXudooUGDlBJPeCzKBbfWt8jbnE51BF7AVrBFHMQ4jtOHDN1pKlUhHEEoQqQraboG1SkTyIQJSDvRjjHAOVA1FZtqw7ycU7Yl0pFshVtc2brCQ1sPcXZ01sgYVEPkRkzCiVmvq3MONgcc58emL0iYMlXHMcWpwhFopY2IwXEJXKP99qTXW+VCNySQZmLkS/8V/pu1WCwWi8Xyx2EDkMViMQWlbUHe5LSqRSAI3RApJHmTcyu9xWF6yElxQtEUjIMxneo4WB/w5OJJ5sWcYTDkjbtv5G3n38ZWvMXt/DbPnDzDcXHMcX5M2ZQorczamIayLVmWS1b1irZtQUDgBoyCEb7rE7sxvuOjtbG2daIjluZ9wjGmuk21wZVu3yU0iSaE0kxk5vmco+yI4/KYpmuYBlPu27qPy+PLXEgu4Hs+QghGweh5uvBZOuMoOyJtUlxhTHZDf4hGUzQFSiu0NqWqAkHkmXsopUwXtCc9Bv6AaTjtg5LFYrFYLJZ7BxuALBbL82i6phcmKK0IZMDQH9Kohpubm9xY32BZLPGluZ0p25LHjx/nY0cf4yQ7wZMeV8ZX+NJzX8rrpq8DB2bZjBvLG9xOb7Msl2RtZiQDd/4RkzUZq2JF1mV0bYfv+kQyIvCDXkXtaIdGNXS6I/ZiAi9AIllVK+q2JvRCQhkSeiGDYMD54XkmwYRNs+H64joH2QFlVTIOx5wdnTXa72iLrXiLrWiLJEgYB0bZXXUVi3zBQXrAulrTqpaBa1bnHOFQdiVlW5qSWBkSuzGTaNKb9/ImJ/Zis6YXju16nMVisVgs9xA2AFksls+I1pq8yY1y+s6d0OlNzrPLZ7m2ukatakb+iMRPKJqCp+ZP8Z9u/yeeWT1Dq1t2w13etP8m3nrurewleyyrJTfWN3hm8QyHm0NjpVM1dWfW68quZF2vWWdrWlqklAQiIPRDBt4AhUIogeM4RlAgA2I/plMdq2pluoRkSEeHVpo4iDk3PMfl0WU86fHJ+Se5vr5O1Va9Bc5zPfYH+1waX+K+yX2Mw7HpEnKDvlPp1uYWs2xGoxpGwYitaAtf+mR1xrJc0qqWyIuYBlNG4YiqNUKFVreMgzFb0RYDf/AK/41aLBaLxWKBuxCAhBB/Criqtf4/hBC7QKK1fvouP+cLwgYgi+Xuo7QirY0MASDxExI/oWzLvl/HEQ6hG+I5HhLJQXrA7x38Hp84+QSrakXsxVydXuUrLn4FX7T3RWg0T8+f5tn1s9xa3+pV2XVXmylKU5LXOet2TdmWBCIgkhFxYKZBtTL2OKklYRAy9IaEMjRram0BgOM4KKXIGjNt2kv2eGj7IWIv5sb6BrfSW+a1nQCNue+ZRBMemDzAQ3sPsRfvMQ6NZAEgr3Nubm5ymB5Sq5qBN2AaTYm9mLqrWZQLWtUSOAGDYGAMeF1F2ZTEXsxessfQH9o+IYvFYrFYXmFebBHqDwJfBjyktX5QCHEO+KDW+ivv/qN+bmwAslheOlrVsqk2FG2BIxxiLyZyI1bVipPshLQxRrnTda9ABhxlRzw5f5KPzT7GQXaAg8NevMefOPMnePOZNzMMhqyrNTfTm8yzOcf5MbfT26yrtSlS1S1N05h7oXqJ1JJROCL2YhTKGNuUAg2xH5N4CbEf93dDkRcxCkfUTc0sn9F0DduxscOFXsi6WLOsl6a7qDPdRa1qSXxTxHp15yr3je9jb7BH4icIIcjqjOP8mJP8hLzJcR3XhMIgAUyvkitchBBUbdXb9jrVsRPvsBPvMA7HZo3P3ghZLBaLxfKy82ID0P8DvAX4j1rrt9x53x9ord9015/0BWADkMXy0lN3NVmd9ZOWyI0QCMqupGorNvWGpmtwhGPCkIZNveEoPeLxo8d5avkUaZsydIdcmV7hga0H2I62GXgDGt0wz+fcTm9ze3Obm+lNc2s8F7daAAAgAElEQVTTtYAJF6dB6LSLxxEOjuPQ6Y66q4nd2CirHQ+FCWSRF+E5HlmdMS/mNF3DXrLHueE5Rv6Ihoa2bXvRwao2d0We9DiTnOHS+BKXJ5e5Mr3CVrSFEIK0TtmUG47yI+bFHCEEA2/AJJgQ+RFaa0I3RGnFqlwxL+bMyzkAo2DEbrRLEib9ul0gg9fMZOjRRx/l3e9+N3t7ewDMZjM++MEP8l3f9V2v8JNZLBaLxfLiA9BHtdZ/UgjxH7XWXyKEGAD/3gYgi+W1T6c60jrtFdqe4+EIp1/9ypqMTnUIIVBKUXc1eZOT1zlPnDzBs6tnWZQLXOGyE+2wM9zh7OAs+8k+oRtynB+zyBYcZAfcWpt1tY6Osi5ZVks21aaXNJxOUwJp7naUo/CFb0pMHYEvfBI/IfRC8jYnK80URwvNOBizn+wTezEI8IRRW2/qDatqRVEX+K7P0B+yN9zjyuQKD24/yIXxBQIZUHUVRV1wsDlgls+o29oIIqIpu4NdQjck8cz0aFkuOdgcsCgWZkLlGsPcJJz0nUKhGxK4Aa7jvtJ/xf9FPProozzyyCO84Q1v4CMf+QgAb3/723n88cd5//vfb0OQxWKxWF5xXmwA+l7gKvA1wP8MfBvwc1rr993tB30h2ABksbz8KK3Im5yszuh0hyOcvlC0aAqKpqBRDUor2q41dzFtSVqn3FjfMAWm1YZWtfiuz3a8zaXhJc4Mz5AECYtywSydcWtzi5PCrJ0JJdg0G06yE+bVnLZrEUIQOzGDcIAnPVxcpCPRQuMKl0EwIPETo9d2/f6uaVWsaJ2WgRwwDseEMsSRDolMcKTDul5znBmVthACX/oMgyHnhue4un2VB7cf5NzwHNKR1G3NweaAG+sb/c3U0B9yZnimV20HMiBtUm5vbnOUH/Ulr5EbMQ7GJEGCL30iN2IUjIw2/FXEbDbrA8/u7i4AR0dHfSA6nQpZLBaLxfJKcTckCF8DfC0ggP9La/0bd/cRXzg2AFksryxVW/UKbQDP8fpJRtGaMFS2ZlWuUQ11WzMv59xY3yAtUypVUbdGhDAMh9w3uo8Lowu9ce2oODIq7WKJ0opKVZykJ8yyGatyZcLRnZAyDacMAhM4JJK8y/Fdn2kwZRpNjdxA0xvbqraiUpWZKLkxnucRypCBO+h7h5b1krIt+84fKSQ7yQ4PbT/Eg9sPsp/sMw7HeI7HUXbEs6tnmedzKlWReAlnh2fNn+1G5o5JKxbFgqP8iEWxoGxLXOmSeEY0MfCNevv0/ujVwmw24+GHH+bo6AiA3d1dHnvsMRt+LBaLxXJP8GInQFeAW1rr8s7bEbCvtX7mbj/oC8EGIIvl3uB0KnRarOoIh4E3wHM8GtWQ1imrckWrW9CQNzkHG7PqtqyXtG1L0zZ0dAyDIeNgzCSc4AiHuqtZV2uqtkIIYVTaXc0smzFLZ72QoexKPMdj6A0ZhaP+HkejCdyA3WSXsT/GlS4Sied6lHVJ0ZmQhgAX19wPSY/EMyt0nepYlGaFres6yq5ECsk0nvLA9AEuji+yl+yxPzBrdVVb8czyGQ6zQ4qmwHM8dge7TKMpA2/AwB8QeRFVW7EoFibgVUuatsF3zereOByzN9hjHIxfFUHIBiCLxWKx3Mu82AD0e8B/pbWu77ztA7+ttX7rXX/SF4ANQBbLvcepCa1sSwSC0A2JvZhGNSyLJZt6Y6Y2jk/Zltza3OLa+hq//LO/zJWvuII7dhn5I6pVxeP/7nG+6t1fBRoUCheXUTDCkeb26KQ4YZWvOClOuLG+wSybUTSm0DUJjHDAcz2qroIOJvGEnWjHrJpJiUSyHW+jUKZXSHU0XdOv9AVu0E9n6q6m7Mo+zJWd0V1vh9t90ep9k/v6aZMUksP0kJubm2yaDRLJKBj1vUOxHxN7MaEbktUZt9PbzLIZaZ2ilGIUjhj6Qwa+WeUbeANc6ZqS2HuoaNWuwFksFovlXuezBaAXcoHrnoYfAK11fScEWSwWC4CRE7gBrWrJ6qxfkZNCmnsX1wSfvDYrag/tPMRv/cJv8eEf/zAXf/Ui3/W+72Kz3vDT3/PTHD5zyCgY8VXv/iqKpqBqK+blnMANGPkjrm5fJR2mLMslr9t6HctyyfXVdW6ub7Ku1hxlR/1URQjBcXbMcX7MwB8wCSckXkJe5wwC0/GjtSZrM+qmRmAU2KtyhSMctqKt/mt2412W5ZLb2W2eWj7Frc0tnoyfZPd4l/PD81wYXWAcjRkHYx7ee5i0Srmd3SZrMnPbJE+YhBPG4djc/3gRV6ZXuDC6wO3sNvNszrJckjc5spCEMsSXvpEmeCEjf8QoHOHLV/4fvx/84Ad5/PHHP6MEwZrgLBaLxXKv80ImQL8BvE9r/eE7b38j8N9orf/My/B8n4adAFks9z5am7LS01sgjTY9PKrtPz4/mfOe//o9fOLjn2C6PTUq6fmK/Sv7fO9PfC8P3vcgjnbImox1tWZdrUGY7qHIifCljxKKTnd0uiOtUg6WBzyxeIJFuaDpGlzHRWDWyZRQONph4A4I/IBpNGUn2mHgGzGCRtN0DVppKl31Ra2d7oj8iIujiyRegkYzS2ccZodsKjPZSvyE88PzXJxeZH+wzyScMArMNKdoC9blmnk1p2gKXOEyCSdsx9vGHnendLbTHbNsxryYm/uprqHTHVJIPOkhEAyDYf/ar3S/kNVgWywWi+Ve5sWuwN0P/J/AOYwE4Trw17TWn7zbD/pCsAHIYnl1obWmbMv+V9VVoMGVLsezY/7sV/xZTo5PANja2eKnfv2n2HhGTx17MZGMkI7EEx5lW3JcHZNVGUoplFa91noYDnGly6bacJwfc7A84Lg8Jq9ylDZBSaHQWiOFxBUukR8xiSZcGF5gHI6J3AjHcUzPkBeTNRnLcsmiWJC2Kb7jc3F8kUujS3R0zDPTZzQv5pRdSShDduIdzo3PcTY5yySasBWaKVLgBuR1zmF+yKpc0emOgTtgd7DLVrTVl78CFE3Bulqbtbu2JG/z/vsVQpiOoXiXSTR5TXULWSwWi8Vyt3jRFrg7L5Lc+fzN3Xy4zxcbgCyWVy9aazb1xty8aMX8aM47vvwdfQDa3tnm3/7uv2U0HXErvcX11XVWxYpKVTiY0tUkSJgGUzbNhtub22zqDZtqQ6Oa/mO/80u/w+u+8nV0UUdWZtyc3eTJ336Sc199jrIrqbuaVhsJg3QkvvRJgoT9eJ8zgzPEfox0JVvhFmN/jJSSg/UBB5sD0jolkAFnk7NcGl9iGAyp25rD7JDb2W2j3NYtg2DAmcEZ9gf77CV7TKMpewPzOxpup7eNNKE1U6GdeIf9wT47gx0CN+hvfk7vqxblgrQyWu9GNbSqJfGS/nUHvlGDWywWi8ViuTsa7D8PvBEIT9+ntf6hu/aEnwc2AFksr36aruGJa0/wzq9/J5/4+CfY2dlBozk5PuHB1z/IP/u1f8be3h5aaeblnFk64yg7YlktyZqMQAZsR9ucGZ6haiuWxZJZNuO4POZ3fuF3+DeP/hv2Lu/xHf/rd5BWKR/47z7AybUTvuy9X8aFd1ygbVsqVfUrelVXmVU5B0IZ9ka2kT9iGJo+oPOj8zg4XF9d58nFkxznx30g2xvssRPvMHAHIGCWzTjKjyjqAle6hG7IIBiwHWyzP9zn7PAse4M9Ej/hODvmqDgirVMEgmk4ZSfeYSva6m+rTu9+sjrru43W9boPQ1ppkiBhJ95hd7BL4if3lDTBYrFYLJaXmxe7AvcTQAy8Hfjfgb8MfFRr/d67/aAvBBuALJbPzKvtJuPRRx/lkUce4cHXP8iHfv1DuI7LX/xzf5FPfPwT/MiP/Qjf8je+BUeYqU+rWtbVmkW5YF2s+5UzKSRb8RbT0NwQLcsl129e54f/xg8ze2bGYDIAIFtmbF/a5pt+9JsQiWBVrCjagrzJqbuavMppdUunOpRWNLpBIon9mHE0ZjvaZjfe5YGtB7g8uUzohZzkJ3z86OMcZoekdYorXHzPZxyM2R/ssxvvsq7WLKsl62pNXps/y8EhDmK2o23u376fB7YeYBSMWJUrjrIj1tUaRzgMgyH7g30G/gDf9XuddiADU0rbZNRtzabamClYbaZgnuMxDaecG51jJ97pO5osFovFYvlC4sUGoD/QWr/pU35PgF/UWn/tS/GwnwsbgCyWT+c0THwmK9f73//+ezoEvesvvYt4ElO2JYezQ371l36Vv/rev0qnO1zHxXd8XMdFOpK6q1kUC47z434SUqvaWN/cBFe4CEdwfHTM3/z6v8l6vgZgMBnwbT/5bTiJg6MdfM8HDbWumWdz0jplUS6ouxrVKXAgb3PaxvQbSSGJwohJOGF/sM8Dkwe4unuV/WSfrMq4trrGLJ2RtilplVKrmsAN2Il2eouc4zhUqmKdrznKj0ibFCkk50fnef3O67m6c5XYi8nrnEW54KQ4oe1aBv6A7WibgT947pdneoVa1fYTrLIpWVdrToqTPkRthVucG51jb7D3iksTLBaLxWJ5OXmxAeh3tdZvE0L8B+BdwAnwmNb66t1/1M+NDUAWy6fzWullabqmlyXUXU3VVaYMFWE02MGIyI2ouorbm9uclCekdUrRFKCh0Y3RWs8zvued39MHoNF0xA/+/A/SDTqOs2PSKkU4gkAGhG5Iq1o29YZFsTBrZV2D0opWtaRVSl7nCCGQ4rl7oUk04YGpCULnh+fJm5yT4oS0SllXazbVhqqrcB1TtBq6RmW9FW7heR5ZlfHs+lkO00MAziZn+aLdL+Kh7YfYS/ZoVcuqXDHLZuRtTqc6RsGI7WibcWSEDbEXM/AHuI6L1tr0FrUl82LOYXrIcX5Mq1om0YTzw/O91ls68pX8a7ZYLBaL5SXnxQagvwe8D/gzwKOABv6R1voH7vaDvhBsALJYPjOz2YyHH36Yo6MjAHZ3d3nsscdeNeHnj9Kpzkw22rLvFqq6ytjbvIihP+wnQotqQdM2uNJlMVvw3d/83Vz75DWG0yFCCNbzNRfvv8jf/8DfZ7g1ZFWtuLW5xaJc9Jpu3/HRWrOuzapd3dRIR9KpjrzO2VQbirag6RoQ4Lumy2cSTbg8vMxDuw9xfnQeV7gsqyXLasm8mFPUBVpo02nUVHR0JJ651zk3OofqFDfSGxxlR3Rdx16y1weWc2Ozxta0DWVTMitm5E1O5EZMo6mxxwUjU5rqDwjd/kyTuqs5yU+4vbnNYX5IVmdEbsQoGHEmOcN2bKZK90KvkMVisVgsd5sXVYSqtf6f7vzfXxBC/BoQaq1Xd/MBLRaL5Y8iHUnsGB31NJxSdRVFU7CqVv3vrmMEA3tyj7ROaVTDb/3Gb3Htk9e4/6H7+fGf+3HW1Zq/89f+Dtc/eZ3f/Je/ydd909cxDafsRrsUbcGiWrAslmwqY6fzpc9uvEtap6yqFVprYj/GdVxO/vUJozePUANFVmXMZ3OeeOwJrv/p6/zB7A+4MLrA1e2rvGn3TVw+c5lVsTLmuCYFDUILE4zKOU8unuST809yJjnDpdEl9gZ7HBfHnGQnrKoVtze3+fjJx3shw260y5XxFbTWHOaHHBem4DVyzWreTrzDJJow8AbEXowvfc4Oz3ImOcOqWvVhaFWZqZInPbajbfYGe2zFWwy8gV2Ts1gsFssXBC9kAhQC3wn8Kcz057eA/01rXb70j/fp2AmQxfLpvFZW4F4op6tem2pjZABdjdYajaZsSn7+Z36eb/jGb+B1F16H0oonrj/Bv/rwv+I93/YeWtVylB1RdAUODr70cXFpdcuqNiKCRbFgVZqgVbYlWmie+JdP8NGf/ijJ+YQv+e+/BK01v/8Pfp/8Vs72O7dJvjIBDaEXshVtcX50nreeeytfcvZLTFFrk1K2Jb708R2fRbng48cfZ5bP0EqzFW+xG+8SeZGZODWbXprgOz6BFxB7MedH57lvdB+hF7IqV70ZzxEOiZ+wn+yzE++wE+2QBM+3wXWqY1NtOClOOEwPmRdzGtXgS5/teLtfkRsHY3zp234hi8VisbxqebErcP8c2AD/5M67vgmYaq3ffVef8gViA5DF8um8WiUId4NOdX0YWtdr6q6mUx1FU1B3NYEX4Ds+ZVuCNqtrk2BC2ZUcpocsigV1W4OEgTsgciPWlTHNzbIZi2LB7ew22UnGb/7wb7K8viQYBebmZlOTnE946/e/lTIsSfOUrMtoVYsQAt81Vrj7t+/nLXtv4crWFVMnDUReZKY5m0M+cfIJjvNjhBBM/AnDeEggAyNqaGvSJqXrOnzPR6NJvITtaJvLk8ucGZ4B4GBz0K/0BTJgFI44m5xlP9nnTHKGyIue93NTWpHWKYfpIYebQzaNsciFMmTgDYzwITEWuk/tJbJYLBaL5dXAiw1A/6/W+s2f630vFzYAWSyfmVebBvul4LQ0dF2tKZuSRhmpQqc7wEyO1uUaX/qMwzFDf2jKWatNLwxodYsnPUIZmqlQueIwO+T68jrXb17nV//2r1KtKwCCUcDX/MOvwRt6tKql7mqapmHdrFnXa9q2pdENjuMQuiFDf8iF5AL3bd3HTrTDhdEFRtGIuqs5WB9wbXWNRblAa40v/V6e4Ds+Uku00LiuS9u1aDTSkSRBwvnheR6cPkgSJCyKBYfZIZt6Y8KQFzBwB5wbnePC6AJnkjOfVpjaqY5Faex663JtApfqEEKQeAnDYMgoGDEOxgz8gZUoWCwWi+We58UGoJ8BfkJr/R/uvP024Fu11t95tx/0hWADkMVi+Vy0qiWrM/OrySjbEiEESimUUqybNWmVorQyAgHPyAAUirqrWVUrqrZCConnmDDU0fGxZz7G97/r+8mWGWAC0Nf96NeRTBIc6eDgULc1FRV1bV5nU216u50WGiEEnvSYBBP2Bnt88f4X8+b9N3NufI6ma3hq8RQ31zdZl2uKtjATIw0K8+y+65N4CXEQI7QgazOyKsNxHM4Oz/KGnTdwaXQJLTR5bcx0eZOTNimhDNmOtjk/Ps+54TmGwfB5PUFKK7I6Y1NvSKu0N+wpFNKRuI5L7MUkfsI0nBJ78aeFKYvFYrFY7gVebAD6z8BDwLU777oE/GdAAVpr/aY/5utC4N8BAUa28CGt9Q/+kc/5auBXgKfvvOsXtdY/9NmexwYgi8XyQlFaUbYleZ2bW5k6MwFEeGg0TduwqBaUnTlpHHpDcwMTjgE4zo+Zl3OatiFdpHzft3wfT3/iaUZbI5RSpMuU8YUxb/sf3oY7concqL+dkUgTurRiVa1YF2tqVaOVpmorGhrqznQYbUfbPDR9iLddehuv3309A3/AwfqAw/SQZbmk7YymO61T8janaAp84TOJJmzFW8ReTFqlHOaHlG1J5EZcGl3ige0H2Il3EI6gbMya4KJcoNFMwylnkjPsJ/tMwkkvThBCoLU29r3G2Pey2qz1dbqjbEpa3YKGgW9W5baiLRuGLBaLxXJP8WID0H2f7eNa62f/mK8TwEBrnQohPIw84b89nSTd+ZyvBr5Xa/0Nn/1beA4bgCwWy38JSiuKpmBezFmWSxrVIBC4jkunOurO3NrkdU7gBmyFW1wcX2QUjDjKj3jfo+/jR//uj3L56mV+6kM/hStc3vuX38vTn3iav/K9f4UL77jAweaAvM5BgINjJAICXOGanqKuodbmRokONs2GVbUy0yGMbe7C6AJv3HsjbznzFs6PzyORHBVHpmOoTimqgrzJWZZL1s0aB4eBP2An3GF/sI9Gc1KecFKcULc143DM2eFZLk8uM42mAKzLNfNybm6kZMA4HLMb7bIVb5nVwGBI6Ia4jttP09I67fuZ6q7u1w1b1RLIoDfRDYMhsRfbNTmLxWKxvKK8qAB0lx4gxgSgv6W1/t1Pef9XYwOQxWJ5mVFamWlIsWBdr/t7F601WmszsSlNieo4HDONzLrXz/6jn+VP/7k/TTwx/4GfLTM+8usf4Zu/7ZtJm5Rb61s8s3iGG5sbHKfH5HVOpzsa1dDqFi00dPTrcr706XTHqloxz+fkTU7TNQhHMPSHXBpd4g17b+Di5CL3je7Dk55RZedmra1qn+tJyhqzljcKRuzEO0yjKVVbcZQdsWk2oCHxE84Mz3B2cJadeMf82eWKtEkpugKBYOgNGQQDLo0vcX54vu8Xch2XRjV9ACrbkqqtevlE1VYIIRh4A6bRlGk4Nca7O79sILJYLBbLy8krFoCEEBL4feAB4FGt9ff/kY9/NfALwA3gJiYMfewzvM63A98OcOnSpS999tnPOHSyWCyWz5tWtazLNYtqYe5dlEIIgSOc/v1o8KRnzGwCtNa0qu27c1zHRToSpRV1W7OpN8zWM26mN7mR3mBZLlkVq74MtVY12tFILYn8iNg1PUN5lXOSnbBsTC+RRuNJj2k45fLoMhe3LvLg9oNcHF2k6iqO02PSNqVoC7TSJtg1ZlVOaMHWYItpOMXFNfdIzYasymhU0yuzr0yucG54Dt/12VRmIpXXpnQ2CRPOJee4PL5M5BshQ+RG/apbq1qqtuonUstySVqnAAQyYBiYlULpSKSQ+NIncAMCGdhAZLFYLJaXlHthAjQBfgn4bq31Y5/y/hGg7qzJfT3wv2itr36217ITIIvF8lJwuiK3KlfPSRAcie/4vYDg1BDXqa6XFPjSJ/ETQjfsb36q1pS2Kq0oWlPaenNzk+P0mJup+T1tUuq2pqNDIvE8j6E3JHETPOlxkp9wM79pNN1djSMcQmk6hs4Nz/G66eu4f+t+kjChqAvW5Zq8ycEB1SnSJu2nMkN/yHa0jed6ODhkTWYCS7VEa00SJOzFe9w3vY+Lo4skXsKiXPD08mmqtsJ1XC6OLnJmeIahPyTyoucMddIHzHpf3uRsqg3zYs6m2oAA3/EZ+ANGwcj87O4Y+VzHJZBBH4hs55DFYrFY7iaveAC68xA/CGRa6x/7LJ/zDPBlWuvjP+5zbACyWCwvNU3XkNYp82JOWhsltNLGhBa6oQk7CNIm5Tg7pu5qBv7ATFuka2597kyCsjpDShOk8iZnns85yo442Bxwc3Ozn5q0qkUro7ke+SNTTBpuoZTiqeVT3NjcYFNtUErhOA6xGzMKRuwmu1yaXOJ8fB7f9ymbkrzJqXVN1ZgVtVa3ONrBkx6RHxHJiNg30oOsyqi1WWsTCHzpM42mXBpf4srkCkorDtYHLKoF0pFEbsQwGDIOxkzCCdNwyjAc9mFGIHqBwrJcsigWVJ3pJhr4A4b+sA+LTdeg0QgEgRsQuVH/MYvFYrFYXgyvSAASQuwCjdZ6KYSIgH8N/AOt9a99yuecAQ611loI8SeBDwH36c/yUDYAWSyWlwutNVVXsS7XLCuzllY0BZ3qSIKExEsIvZBVueIoP0JpReAGJJ5Raze6MdY01fblqEB/O3M6GXp68TQn+QnLfEnWZVRNhRYaX/hM4ynnR+cZukNW9Yrrq+ucFCdUbYXSCoDACRiEA3ajXc4Nz7GX7DEKRjjSoW5qNtWGk/IEpZS5Q9JmfU2hCBwTPE6nWC1t/8yu47Idb3NpfIlhMKRpGypdUTamW8kR5o5pEk7YH+yzl+wRumEfhrTWRsFdpyzLJXmT06kO6UgzFfJHhF6I0qq/wxIIs2rnRXd1MmR7siwWi+ULi1cqAL0J+AAgAQf451rrHxJCfAeA1vonhBCPAH8LaIEC+Nta69/5bK9rA5DFYnmlaFXbTzVO8hPyNu9XzAbegKZtKFXZr7+dBotABnS6Mzc9jofruP163KbeUNYltza3eHrxNNfW15gXc+bF3NwN1QUNDbEXsxfvMY2mSCHJ65xVverV2LrTxjgnXWI/ZupPmQ6m7MV7bEVbDLwBWmjargUBAkGnO1OaWmwoVYnQgiRMmAZTUxKLZtNs0FoTyICdaIe9ZI/twTaRG5kpV2OmXGhz97OX7LE72GUUjhCYziMpZB8Cq7ZiXZsepla3gJEzTIIJrnT7MOQ6bj8VerGK7UcffZRHHnmEN7zhDXzkIx8B4O1vfzuPP/4473//+20Islgsltcg98QK3N3CBiCLxXIv0HRNP/k5yo8o2xJf+gz9IbEb4wiHqquouoqma5COJJABSitc6TL0h/09UdVWNKqh6RqKtuDG8gYH6QHzbM4sm3ErvcXNzU3yKkdKycAbMAkm+L6PVNJMqZo1eZvTdmaVTjgmfPjCZxAMTCgKpubrPJ9ABozCETvRDg0Ny2zJ7ey2uTlSZh1u4A7YirZIogStNU3XkLUZUkim4ZSLo4vsxrtEfkTd1awrcxflijshLDQ2OE96OMLBdVw8x3te11DRFr39ri9aDZJ++qa17u+sEj8h8iIc4Xxef1ez2awPPLu7uwAcHR31geh0KmSxWCyW1w42AFksFstLSN3WLIoFh9khy2pJ1VbPhSEvRqOfVyLq4JgVsztBKHADpJA0qjFhqDO66WW15CQ7YV2tWRUrnlk9w5PzJ1kUCzrVEXgBvvCJ/AjPMWGqUQ1FU1CogrZte0OdRJq1OsfvpyqxHxM4AdPBlN1ol9AP6XTHpjTreSf5CXmXI5FshVtmUhNNUFqxro10QSKZRBMzGQq3GfkjWt3S6pZGNQDmXikcMQ7GRF6EdCSe4/VTnU51pHVKWqV0usNzPAI3IPZMkGx1S9EUCCEIZUgSmKmaJz186feh6rMxm814+OGHOTo6AmB3d5fHHnvMhh+LxWJ5jfLZApD7cj+MxWKxvNbwXZ/9obmBqbqqnwytCmOUA3On47s+sWdCh0L19zGd7owaWkgiL2LgDWh1209RNtWGdbXm/Og8b95/M08vnuap+VMclUfkTc46XRtVt+sROAGe6xGJCOEJKm2022hwtEPRFaRVinbMOl7ohoR5SOzEDIMho2BE7McM/AHjcNyb3Zblklk+w9/4bMVbbEfb7Ea7FK0x0D2ePY6UkpE/6u97RuGIxEtQWvUFtN5MwPcAACAASURBVJ7jMQ7GTOMpQzE0PUGuT+iGjIIRRVuwKBa9VjvyIvM5jm/CkGqZ53M8aZ79VKftS7/XdFvFtsVisVg+G3YCZLFYLC8RZVOyqlYsy6VRQ9cbOtXRKqPTHvkjHBw6OhwcIs8Y1qQjjRQA0au1szpjWS3J65y6rSnagtub29xOb3OYHnKUHbGoFv0dkhSSxEuI/AhHO33Jq0KhtaZWxvzW6c7Y5xyXwA+YBBOjuJYhURAxcAemsPXOlKZua9I2pes6Ajdgb7DXT2rKpqTSd1b+hOk4Cp2wn/54jocrXYQQBNLc94zCEeNw3E+HBAKN6VlK65SsNr1FaJBS4mBW6U6Dkeu4+NJHadVPnDzH6zXdruPaFTiLxWL5AsROgCwWi+UVIPRCQi9kP9kHzN3QvJgb41u5ZF2byY0Usl8rOylPTDiQEa50cYRj1t3cgEvDS7S0ZjWtztkd7PJG/UY29YZlYULWjfUNDtYHHKaH5FXOptmYQOBG+K5P1xoZgxRG6S2FpG5qKkyh6apcEUsjHXCli+/4BJ4x2w2jIQN/QOiHVHVF2ZXcSG/gCSM6iL0Y6Ugc4ZgJV5VTOcZ4d+we40iHWJpJkxAC3/HxUo9haApTx8GYD/+TD/POv/ROzp45yygYUa0q/sUv/Qve8973UHd1X7ya1RmOdIhk9NxkTQaA6XRaV2vW1RrXcfnH//Qf8/jjj39GCYI1wVksFssXHnYCZLFYLK8ArWrJ6sysypUryrYETT/FOO0bch23n4gABG5gVuRUS9EWZoqjOtD0wWBezrmxusGzq2c52BiZQqOaPnS4rotoBZ1j+o1cYaYybdv2tjblmEmRQIAC7WpCJySUIaEfGjObY+QGnvTwHM/IF6QgECaISCHBgciNUEohHGHeB0bS4HiEMkRjRAcf/eWP8vM/+vNcvnqZn/3Fn0U6km9917fyyf/vk/zIj/0If/3b/zoaI2NYlkZL3qq2/3rf9YndmMANCGWIIxwjXEDzMz/1M3zju76Ri+cuErohi+MFH/rQh2z4sVgsltcoVoJgsVgs9yintrO0TlkUi37NrFUtgQwIPbNCprSibEvKtkRphS99o7a+s9bWdE1fLNqqlrzOOSlOuJXe4tbqFs+unmVe3AlCxoMNgNDChCsBaEwQumOS00LjOI6RKAhJrepe5OA7fm97812fgTswa26uR6tbuq4zQgPh0WG6fwIREPtmXe70z1eYLqNWtZTLkp/7vp/j6NkjkmmCFJLVfMWVq1f4yQ/9JPv7+89TiwOs6zWrcmXKX7uatmtxHAfPMYKEJDD2uNNAVKvafN93Sl8DNzDhSfov91+9xWKxWF5CbACyWCyWVwFKGzHCPJ+zqlesizUKReia/3h3hNMbzzrdoZTqb3pODXCOcBh4A1zpopUmbVLW1ZqT/ISbm5scZ8ccZ8fkrVFPn6q6O2XCymlRaqfN67WqpWs7hGMMbLEXIxxB2qQ0bWN6e+iQWuJKl7E/ZhKbO6LTMNWqFqUVoQx7DXjohfjS7/XYDiacLE+WfOA7PkCxKgAYTAb8wD/9AS6fv8woHBG6IZ70SLyEJEgY+kNc6dJ2ba/Vzuqsn47VXY0jHGIvZhyOmYQT8z0g+u8PTCAK3KAvcrUiBYvFYnl1Y2+ALBaL5VWAI5y+76ZsS9blmpPihEWxQGkTdk5X3k5XzxIvYRgYlXanun4Njtasnu0Odnnd5HVGxlAtOUqPmOUzDtNDloW5Q9oUG1NOWqeUbYkn7twM+T5N14ALWZOxaTdkbUbi3SkuDV3KpiRX5s/c1BtW9Yrr6XUG/oBIGiObRverfJEbEXkRCkXRFL3AwHVcPPnpOutOd/zh4R9ys7vJKByxFW8xDIb4jm+MdZ65KdqKTdnrMBiS+Al1V5tA1BRUXUVe5SzLJde4xjAY9p8Xe7EJfHQUTWFWEQHXcQndsBctSCE/p2rbYrFYLK8O7ATIYrFY7mFa1ZI3ef8f87WqyevcFIjWZu1LCIF0JNNgyjgcM/AGve661S1SSCbhBClk/3qryqi6N+WGRbHgKDviMDtkXsxZlSs63RkznBMQyADHccgaY6IrmxJXuoz8EUmQMHJHKKFou5Z1uWbdrCm7EkebkOa7PlpomqahUhUOZpK1FW4xjsaMwzEaTTpP+ZW/+yssri+IxhEAxapgenHK1/6PX4s38XBwCNyAoTc0ZbKeCWvTaMr54Xn2k32m0RQp7sgYtAmNp1OhoikomxJHOnjCM1IHN+ynP65j7qEcHGPI47l/R0ohcR3X/Fxc83OxochisVjuTewKnMVisbwG0FrTqKZf7TotTc3bvJ8YFa0pDE38hJE/wpMeeZ2Tt3mvoXYwNzhVW+EIh0AG/frdLJ3xxOIJri2uMctmVF0FwkxEIhnRdA1Zk3GUHpG3eT/dibyI2I2JPXMTJLgjVcAUvwoh8KRH1VSsq3X/zIBRgocjTv7vE/7wA3/I9OKUv/DDfwGtNb/2936NxfUF7/jOd/DmP/9ms+qnG+q2BnGn+0iYUlTpmFLW7WibK9MrnB+dJ/GTPtQIBGVbsqk3ZFVGrWoEwgQaGWBOo4T5Xry47xT6VB15p7v+1soRTi+rsGHIYrFY7i1sALJYLJbXIKf9QFmTGTGCY4LHpt5wlB8ZYQKKgWumHKfCBKVVv/Z1eqPjCNND5DpGvb0qV9xY3eDJxZM8u3qWVbECAb5jhAECwbJccpgfUlYlZVdSqQqgXxlL3ISBN8D3fIQU+Ph9OKq7mqzNWJZLqqqiUQ0dHavfXrH31j32tveYRBO6tOP6v7/O1a+7ap7RjYj92ExrhEvRFZRdaQIRJiQKIfBdn0k04VxyjkujS+wn+30xq3BEfzO1rtYUTdEHq7ZrabqGTndG7e3G/drdp67EKa16Y95pGApk0AeiezUMPfroo7z73e/uu49ms5lVgVssltckNgBZLBbLaxitNVmTkdYpSisjFhBub5fL6gyFMhMj1aC1fk5fLbxeY93qtn/NTnemMLWtOc6POUwPubG6wWFxSFEXaK2J/ZiJP6HqKrI6Y1WvSKuUvM5Z12vKxgQwT3oEMsD3/L4YdeCZgtVWtWyaDU3TUCiztlc2Ja1qezFB4iUkYfK8ScxpcexOvMPQHeJIh0Y1fSFq27UUXYFSRiKxFW6xN9rjbHKW3WiXYTgkciMCN+hfEw2NbiiagrzJKZqCrMnQ2mi2B/6AxEsIXGOzi9yoX7PrVNcLHk4NdKdh6F4RKjz66KM88sgjn7EP6f3vf78NQRaL5TWFDUAWi8XyBYDWurefNV3TTye01pRNSae7foWraM3Bf9M1+K5PIANcx8WXfr/2dbry5eD0uu55MWeWznhm+QyzbEZap33AcYVLqUqUMmFrWSxJ65RNvaFqK3AADVqYtbnYjRkFIyIvIpRmuqKUImsyiqZgU2+Mba5rzO2PDIi8CE+a/qFWt32p69AfPi/QndriNM+Fw6qriNyIcTBmO9p+njhhFI4YBSO2o20SP+n/nKIuOM6PWZQLiqYwIgfPrMb5jploRW7UT4dOwxeA4zi9Ue70fkg6sp+Qnb79cjGbzfrAs7u7C8DR0VEfiE6nQhaLxfJawAYgi8Vi+QJEa90HnkY1dMoEoFa1dMr8vqk35FWOEndMbI6HQPT2ttPPa1TTr8c5ODRdw7pec2t9i2vra+R13vcD9Xc6XU3VVGyaDet8zabZ9GtjpwFNCYWjnX5iMgyHZsoiAzzXo+s6E6KaTS9/6HQHQECAI51+3ezUIie06TnqdMfQHzIJJ4z8ETiQVzmFMpMhB4dROGLoDYn9uLfDbcfbTIMpk2jCzmDHTK+k3xewpnXaB83TlbvYi/vv4XRNTgjRf1wg+mJW13m+gPVTA9FLLVeYzWY8/PDDHB0dAbC7u8tjjz1mw4/FYnnNYTXYFovF8gWIEAJXGGtZRPS8j52Go6zOWFfrfkqjtCLyIjrVgaYPRYlIaFRjpipaE7gBA3/AfrLP1e2r3Nzc5FZ6i0WxoOs6BnKA45gpTdVWlElJWpngUHUVbdvS0FA3NXmTk9c5m3rDsloikcbuJiNCLyTyIibhhGkwpdOdUVx3JXmV0+gGtDG0feo0K3ACNJq8y7mV3uK2uM3EN0HobHwW4QiK2kzBjpoj/NrnxuYGgQxIZMJ08JxRL/ETxuGYUTBiEk7YG+zhSY+6q/t1ubRKyZscB9M5FHqmu+nURod4ziLXqQ7P8QjcoA9Dp3a+rMn63qLYiz8tLFksFovlxWMnQBaLxfIFzqlMYVWtWFd3bne06n9JIUFggoYjibyIgT8w74der122JbfT21xfXWdZLcmb3NzyCIEUkqIqaFVrVtzagrzNadsWHCibknVluoiqtqJpGhrRoJVZcTtdy/M9n8RLiP2YwAlotXm9uqmN8lrV1KrGxSXwAzzHw9Fm8lK3NQrVW+tG3ojET/Acj1KXVG1F0Zpn7HRHIANToBqM+zW5gTcg9mNzUzTc48LgAnFguoSyNjM3TK35+QVuQOzGKJT5OStlVhLv/M8RDr7jG5X4nU6jT9WeA/jSN4HqThnui8GuwFksli8k7AqcxWKxWD4nWmtz/N8WNF3TB6Cqrai6qg8QvWlNmvuXUwW1I0y/j9aaZblkXs45To/ZVBs29QaB6Ffxqq4y3UZ3unmkI/EcD4kkazNm+Yx1sTb9PU1Bo++s8HWmm0e6klCGDP2hubOREq2MJlwpRaUqqrYyd0Ja09Hh4uJoB42m1S0KE+5OA93QH5o7pDvCiLzJadoG4Zi1tVCGREFEIhOEFMZI58VsRVucTc5yYXiBS9NLeI5nJBBtSdu15ucjJRLZT4U0up9mKW0Cki99PMfcMAkEGk3VVmg0oRv2xa2Ba1byPl+sBMFisXwhYQOQxWKxWD5vPlX13HQNZVv2v+rWTFpO71sEop/UaDTSkSaYIFnXaxb5gnk1J6vMpKnqKiML0FB1FXlrrGuudI0pzh/huq5ZdWtyjrNjjotjNuWGVbXqp0haaUInJPRCQj8kdEIc6dAq89qnhaanauu2a9GORnWmuLWlpdUtQgmklH3/z8A3kx6JND+HrqWjM6EJabqN5HP2OIEwVrxwwsXJRe6f3M+F4QXG0djcI6nOhK47xjgwX+NJY4xzcKiVCZinr3d6L3R6h6XRvWo78iIjanCes/i9EKGC1WBbLJYvFGwAslgsFstd4XQyUrbGKnequlZaIRC9Ne70bcdx+mDkOm7/9ctiybyYs6pWrOpVH1DWxZq0SlFCmRDlBL3V7XTlTnWKrM24trzGUXHEcX5MWZe0ukUKSeAFRnFNgHIUOGZN7zQM6U7TaKMDV0L1YajBvO/0uX18fN+Y3nzp4wsfx3H6GyhXuGih0UqjtKJU5f/f3ruHWXaVdf6fd+29z7WquvqeNCSBABFiDApMgAGBMEAQeNBgwoDDkEzQiCSgDuiMD/r8ZBwH0UFnkAQnIhgIioQAcpVLDAoYiRJGLk0kiUNCm6S7q6u7Lue2L2v9/lh7rXOq0t3QId1VnXo/eeqpU+dW++x1qrO+5/u+35dRPqJwPjBipjHDruldnDF7Bjund3pB1NpEO/Px2YX1ojKvckpbRiHTSBo452IpnnPjYbN5lVNY3/fUSBt0Uu8ITTpwqUnjV0jMUxRF2WioAFIURVEeVKyzDIpBTEMD73KE8jjnfJlZKJuLKWd13HYQRpWtvEM0OMhcb45Do0MsjZZYGC74qO7cC6yGaWASLz4AmkmT6eY0mckoqoJ9vX3cvXA3e5f3sjhaZFSNMBjvioQBrmmDRBIyMlziYjkc4kMIhvmQoR2ChUoqxPqBrSW+jM45R5J4ZytLMjpJnfyWtegkHSQVrLX0R30Wi0Uf+FCOEBHaSZtNrU1s6WxhS3sLs61Zdk7t5NTuqcy0ZkhM4kMmTBbLCkOpW17lsTepnXrXx2Kx1sa5T3E4rEmx1vqerRojJpYrruchrYqiKA8mKoAURVGU48Zkn1AIALDOUlS1y+JsvD6UaYWo7eBUhM1+WZU+lW60xPxgnnuW7mF/fz/9oh/7ZQQfcx2cFxGhm3ajQOrnffYu7WXfcB+HhocYFkNG1YiiKgBoGt8z1DTeKWpkPrbaVpbCFfRHfXLnZykhkLjE9z7h5ykVtojBBiISRV0n6zDdmPbR251ZBKGf9+nlPZbyJd//VFU0skaMum4kDaazabZ0trBzeidbW1t92EKjy6bmJnZO72S2OUvlKpZGfi6Ss86LOZP4/qaqQowXNWHuUIjdDu5PCH8I6XMqhhRFeaijAkhRFEU5YRSVnwEUZg6FHqK8yqlsFUWPiMTbS+uHhyaS+FKwujemYRqUtuRA/wB7lvZw96G7vaiphj4QoXaccutn8iR4x2dUjahsheBdnP6oz6HRIQ4ND7FULDEshlHkWGdJxQ9mnW5M02q0fEBB6Y+3spUXEg6SxLtWeZVTViVDO8RZH7IQvickpGlKN+vSzJrMNmbppJ3o5PSrPrayXrQ4KKwPWogR2mmLTrPD5nQzrWaLqWyKbd1tbO9uZ3NrM1PZFGJk5XyhicG1IUyhkfqghMr544/hFbUb1kpapEl6vyGt328/kaIoynpGBZCiKIqypoSelkHp5+aEeO0wNLRylY+/tkXsB7LWb+hDL0s369LJOoyKEfcs+7lDh4aHorgaFL7kLJWURtqgdCX9vM/IjvxzWR+GYLEM8yHL1TKD0YDlfJmF4YKP4K5G0Znppl3SxB9bVfkABEFopk2MM2C8C1VKSVEWMT1uUAwoyoKKKrpVqfjXEBLrsiSjaZoYMdGJcc7FYw0uTmpS0sSXDGZ4UdNMm7SzNpuam9je2c627jZmshmaWdP3LiXeYTLiSwAbSQMRiSWKYcBtcOQme7XCuQtBEMd7MKuiKMrxQgWQoiiKsm5wzjEsfbrbqBoBxAb+RJLx3Bxno7DJq5xRNcI5R5b4Ppl21iYvc/b39/t+pGLAodEhFoYLVFWFMSZu7ktbUlUVhfPBA0VR+AAELOL85n6YDzkwPMCBwQEWB4sM7dCnsTnxyXHWzxkqyzIm3RlMTG5Lk5RMMtIkRZwXHP2q78Vf5RPgHP74sWCNjc5MmqSxtyghQYx4Nwvopl2yZgZVncxHGc+PwfhytszHZG/tbGVreyubW5tpN9pMZVMxRKKZNeNxWGup8MNuRXzkdnCQQr8TEMsTu1mXTa1NzDZnaWa+5C+RRIWRoijrFhVAiqIoyrqkspUXJLXzU9gi3hbK4VKTxpjtQekdm/AY59yKki0RYVSMmOvPcXB4kH7RjwNX43OJ+LlGVY61lsXRYoyoTiShlbYYjoYs5ossjBZYLpcZFsM4lDU6PeWAPX+9h61P2Eo6nZLbnP7BPvO3zrP1GVsxYkgljQNQxXgxVTk/y8hZR2Xq0jlbRSFl8eLEVS6KjE7a8bOKmtM+RY46wAGoGMdkJ/j7h4G17aTN5vZmtrS3MNWcYrrpe5S6jS4N02C66WcfhecSJPZtBVGU25xRMQID4oRW1qKbdZlpztBKW75UsXbyJsvoVBwpirKWqABSFEVRTgqc88NM8ypf0UsUCE38qUlXOEmlLWP4Aozn6JS2ZFgO6eU95gfz9PKe7zlyZSyxC3N+CluQO9/bE9Ps6qCFUTViebTsE+asn2G0+1O7+fqffp3Org7nvv5c0jTlq2/5Kr17ejz6Zx7N5qdvJrf5uJxParFTuywJCVma+YS7OqzAiIliKMwvKip/XLb0fUOtpDUObyAlSbz4C+VsmckQI1EYhrju8PyNtMFUNsVMc4ZNzU3s6O5gx9QOtrS8SMqSbMU5NMaQiR9wW1nvooVQiSBynHMYjHfBTEan0WGqMcV0wwu2BzK4VVEU5QfhaAIoPdEHoyiKoihHIvTfTG6YQ6JcXuXkVc5yvgz4zXwzabK1vTUOYJ0MVQgBB620xXRzmp1TOxkWQ4bVkKIsWC6W6ZU98tKLniBMBKGwhe9ZKgaMrO8LMmLotroURcGwGtI6v8V3P/ddDu05xK2/eSsA+VJOZ1eHU887lXanHQWZwwsELBQU0UEaVkOWy+UYyR0CCTLxQRCtrAUlYCAvcvq2T1EVHBwdhCFIIrF3x4of0hp+V3CgJBFapkUzadLMfJldb9TjvqX7AF+6l+JDG2Y7s2zpbGGmMcOm1qboEIVACTFC0zTH/UFp089qSn0ceW5zirJgf28/e5f3IgittOVT7VqbYh+XzidSFGUtUQGkKIqirGuMmLjZhnHs9rD08daDcgAwDg2o5w11sg7W2jhQtHIV7awNEEMAKltRupJe3qOf91nMF+kXfaQUUpvSbrRjL46zjtzl0aUabRlxxtVn8NZXvpXeoR4A7U1tXvLbL8FOWfIiZ2R931JFha0szjja0maqMRUF26gYMbI+PCEIsXBs4fW7yjtSraxFO2lTUmJLX6YWenZSkyJWsJWlMt6p6dleLK0TI0gl3qVJfTlgwzTGPT0ksEhMsWskPilupjnDdHOaZtKMQ2ENxif11YEJ7azNTNPHd7fTtp/1JIa8yjk0OMRcbw7rbAxxaCUtus1ujA1vZ20fLqGiSFGUE4AKIEVRFOWkwojx/S21mMmrfKXzY4soio5EmJcTxNFUY8rHXNezdfIq59DwEIv5IkvDJQaVH0RqrKFyFdPJNK20xanm1FgyBtBIGjzrzGeRTCcsjhbp5T2WR8v0ih6Dwjs+wdEKlxtJww9WbXT8ENY6UtuId4xKyvgaC+vLzjKTUUnlf668Y+VKX+YWSuHC8zrnh706fGJd7nJGo1Hs9ymlpCE+Ka6dtr0jJGkUnpnJSJLEf1En96Vjl6ppmn52UbPLTDpDu9mmYRqxvC+UyRkxZEUWk+hEJDprqfG/s9vsMpX6XqWp5hTdrOvFUeIT7hRFUR4MtAdIURRFecjhnItOSnBTQsrZqBxROV/SFTbXIhJdpdBzlBrvgiTiZ/8MigGDyocwHBwc5K577uKNr3wje+7cw6YtmwBYmF/gjEefwdv+/G2ccsopvpyuKjg4PMhcf47F4SKHRofG7lXhY8GXh8uxJM5aS+nK+Bqcc2SpLxlz1lGWJYUrwIDBIFZw4pPmhuXQhyJUJRjv5gSB5ipHQeGfpw44sJWN7ljoPbJYn1KHT5lDJlwh06BjOjQaDdKk/gxV8LOFTCMOtA3ntZ22ydI6hc40aTX8XKNO2oluEg4KV1A6L2CttXHAbZZkse9rqjHFbHOW2fYsU9lULMPLjBdiOrvogXPVVVdx8cUXs2PHDgD27dvH9ddfzxVXXLHGR6YoDxztAVIURVE2FCJCKkf+X1zowQkCxIiJXw7HqBzRy3teDNXOULh9tjXLzs5O/u6Gv2PPnXt41A89iqv+4ipG5YjXvuy13HXHXXzoQx/i/JeeH12UVtLi4ZseTnNLEyyxlK50ZQxgGBQD7lu6j4OjgywM/Fyi5dz3KfVGPUblyKe91SltpjJUUpGJFwjNpi9lK20Zh67mto4Pt178YGHk/M9+RJEfxmrEkGVZjP0OoRIVtShy1vdeOZh38yTiz0fDNDCJnyFkjSXFlyA20gZN48sWW1ndf5Q0/UwjjJ+FJF4YddIOnWYn9gclkpAY7zZZaxmUA3qjHnO9ubh+ifHCLgyObSU+ja6Vtrw7mLbpNDpsam6inbX982ls92G56qqruPLKK7n66qu56aabADj//PPZvXs3gIog5SGJOkCKoijKhiUkyYUZQ6GnBhjPxrHVuI/IerckRGj/xZ/+BRe86AK27NiCEcPB/Qf5xF9+ghe/4sUs58ss5ov0Rj2G1ZDKVjGKu2madBr1pr/RoZt2SZIkzhpaGC4w35/n4OAgy8Wy7zsqC+bzeRaGCxwcHGQpX6Kf+1CEwhV+5lEdj+1wGFeLOmcwiYkR4M66mHhXlEUMLwjzgSzWR15bP8Q1hik4Ibe5DzqoCn8uqHx5nXW+xwmHSYwvb0NisEMQICmpD2IwmS9pc0SRZMSnzSVJQjtt+yCG9ibaaTsOf22YBt1ml1bSIjUpFp/gV1JinKFwRTy22AvW6DDbnGVzZzObmpvoNrpk4pPyRLzgM8bEtLpQHrlR2LdvXxQ827dvB2D//v2cffbZ3HTTTdEVeiCos6SsJRqDrSiKoig/AJMldUEQFZXvNQoDXa3zg01bacuXhKUNBPGlc+WAft7n0PAQ/bJPv+jTK3oUZYGlnj+UtOg0OmQm49Pv/zTnv/B8tm3bRuUq+of6fOGvvsDL/tPLyIwXUYUt2Le0jz2Le9iztIe9vb3M933U93K+TL/oMygHFLaIc30E8Y5R1qRh/Owe63xIQkWFLSykUJUVQzukqHxinav8HCOTeJFirfWDXJ0XMdZZDn3pEJ3Hd2AKP3R2uWD4tSGdp3aicIzulTFREJnEC6wQzBAEiCCY1NAS7+p00k68T+gDayUtZlozTDemffR2OkWz0SSVlNKV9PN+FLiV82INS3SPuo0uM5nvWxK8axhcpE7W8b+jnnUUAjYaSeMhJ5D27dvHOeecw/79+wHYvn073/jGN35g8XPllVdGIQVjZ+ntb3+7iiDluKMlcIqiKIryA7CipO4we9/K+kCCUTliVI1iCVkiSRxAWrZLH8VdDqPjUpS+9G25qGcMVSP+8rq/5LrfuY6PXPcRfvWaXyUzGW/+2Tfzr//yrwzyARdfejHN1IuE2c4s26e28yP2R/zzVjmpScHhn7fuVzowPMC9y/dyoHeAA/0D9Ioew3LIsBxGARTm/iQ2wYqNm/522vZR4Fa8OwSYxMTEtrzKWfzCIgc+coDFv1vkYVc8DINh/zX7KfYWNEyD2afP+nlL4tPrSutdm5Ed4XIvzFzu47sT4x0jg4m/L8SJp+IFSCppPIYQ+JAmaXSLOo0OLdNiqjXFVDZFK2shIhRl4QVkkjIv876Hykgsx7PW+oQ9Z/3554t0/AAAIABJREFUQHy5nsmi8ExNynRj2gc/NLpRIIV+pfA9nL8syWIvFRBLKsPg2Idqad7FF1/M1Vdfze7duznnnHOAsbN08cUXr/HRKRsddYAURVEU5UGmtCWjchQHuQbnIzgxgcmABvAi5L699/GKn3oFd/7zncxuncU5x8L8ArvO3MV/fsd/ZnrLdNxYZybz7lHaopE2yIzfyKcmHYcUQJxvlJiEsiyZ682xZ2kP88N59vX2MdefY6G/QN/2feJcVfoSwNI7PWKFgiIOhg3lbeBLBUcLI+7833eS780xU14Y2WVLujNlx8/vQLo+cS6RBGNMfLwTP1y1rMqx+LBjt8riL9uqFkKMzxN4QYQB47yQMRiS1PcPpYlPqjPGkKYpHdMhSRLvzmUN2kk7nqss8edtU2cT09k03azr+5WcocIHZlS28iWEuBiikZraMUrbvn8slFHisNYHOaRJOo5nT5sxLCJLsrHolLEgCkIriKkwXDZLfKpemKEUxF90Juv3WfhdQaCGdQq/azXHswTueDhLivL9og6QoiiKopxAUpOSNlK6dO93WxBDkz1F4bt1ljNPO5OPfOojPOu8Z3Fg7gAAW7dt5YMf/yDdzV16RY/F4SL9qs+o8GEOC/lCHPyaiO+h6WSd6FIYZ2I4AgImNZy19Sy6jS5ihGE5ZKG/wL7BPgYjXzZXOp8qNxgN6Je+fG+xWIzldWE4bWUrWrMtHvPLj+G2/34b1bJP0UumEh5xxSNIZhJwfiPurIPE9wyJ+ACGyvh+naqqSFxCIb6Hx2B8uZlLsKmlKU0vzlwZo8ItlqqqKCn9cwO2HA+fDX1RQWQEt8WIIf9yTvfxXZrTTZI0wS07+v/UZ8czd9DO2nRbXdpJm0QSGuLdHJMan2ZXuz5B6GRpFkvmGqnvIwolhqNiRN/1KZ13lkK6XpZkfp3SDq2s5aPNQ18VXhyLk+gcBfEjxh9/COgQxr1a4f3l/Akfv+5aWDWSRhTKzcS/juvedx27d+/msY97LJ/93GepXMXzn/t8du/ezbXvu5ZLL7/UJxHW/Wury/8O1zsXxFYv760Q/ODdUufcCjE2+QFB+JBg8nnDcxgxK3rKwnNMlqZG97V+zUcbuhseF94T77j6HYftWXrNa16z4sOLID6P5tyF87Ge3L3J8wzEXr3w+oEV62CdjeczrMPkbUZM7DsEv/bNpMl0c3rNXuP3iwogRVEURTmBxE0pyWHL6QDosmLTJiLMtmfZ1N3ENrYR9pRBNE32JB3sH2R+ME+v6LEwWqCsSh+wUIuj8BioZyqlfjDrTGOGs7aeRTNp4vCzkEKJXGUrxPm47V7un/fg8CBLwyU/RLbqM7d3jjvMHXEDb8Qw3ZrGZnVQgSv9Mdsqpu0lxs8VMs5EZ0gQClcwqkaMipE//vq400ZKwzWimHLOYWW8Ma3KKv5cVhMbtzpxz+KT7cpbSqpPVizfvIy5xP9ee63F7XfMD+ZpnNfwryEdB0lMzi5KTOL7lmpRgcHPRTKZ/55mcSjsTHOGmdYMm5ubmW3O+vK8tEVFRV76MI2Kiqbxg2YNJrplhStwlSMzGR9738f4txf8W2a3zfoSx4UBN3/6Zl566UtjWR9CFITWjgf9hl4uay1OXEzxs1jOfdG5XLFwBc96wbO4fXg7Rgxvec9b+PynPs/Tfvpp3DF/R1zPEIgRerhEZMWmurT+HKeSsjC/wM9d9HPM7Z9jy9YtIN5ZesaznsF7P/Jetu/YvuL9OPk1KdwOJ3gCk5v21ddPXpdIEoXQ5IcOk+LsT6/5U974hjfytre/jQ998kMIwoUvuJBv3/ZtFoYLXHr5pff/W8YLh3AeVgu21feJSZMT94lzsQ5zv9VCK1wOPYmT/YiFLaLLGxzA8LjJD1iORpiBNvmcYSyAINHBDWW2oew2BqO4ih2dHZx7yrlH/T3rAS2BUxRFUZR1xNFKkm786xuZ3TobZxlNfjIbNqJhY1VUhY/RHvV8D0+9wTIY0iTFOcfiaJFDw0MsF8sMiyGFLWKc9Exzhk7WiZvJIKDCrJ8QBpBXOXv37uXKl13JXbffxcyWGXCweHCRXWfu4vXveD0yJSyNllgaLjE/nGcpX2Kp8Cl2uc1jCRzUg1zDhrJ05OQ+ta7Mo9shIn4zZ8EZNy79qj/XFeOjvCvrN4lFWVBQUJalD23oWxbfuYjdb6FTn/g+sB2SSxJkalziFxybULYXXKXYD1X/B35eUhBK/kBqB0B8uV5ifAleiAMXI14IC7Gcrpt54dRKWzEh7+7P3M0X//iLbDt9G5e+9VJaaYs//uU/Zu939nLhL1/IMy56BtZaXzqXZTSlCQmkpDFxLzM+/CKpVbd1lmbaRIzEMsTSlrG/bMUm3PmNd+Wq6DQ65x24SadjMkr+o+/9KG9/09s54zFn8Afv+wNEhF/6mV/irtvv4nVveh0XvvJCcMT+qfDeaqZNL1jrTfikWxqcrRvecwPPedFz2LxtMwkJiwcXuemTN/HKn32lL4uUsUtjnfWb9CrH4Vb0aDUTX4poneXe++6Ngmfrtq0AHJg7wGMe+xg+8PEPsH379vu5bFHwTDhawdk8kvMTREo4V0CcwRWeO7h7k+JwtfsSUhvDazWYKEInv0L/4mSAhzGGoir8fapaIFcjClus6E0LA41DD1twfUMkf7hveO5W0mJzZzMPm3nYD/Av4IOHlsApiqIoyknC9ddfz+7duw+bnnXDB2/giiuuoJW2jvj41eVE0SGyRdzohIGjM60ZTp0+Nc4hGhQDlvIlekWP+eE8B4cHaSZNuo0ulfXx38763p1QjpQlGZ/68Ke46/a7OOPRZ/B77/s9nHP8yit+hbvvuJvbv3Q7L/oPLwK8QDDGxPCHpXyJxXyRg4ODPvp7MM9SscRgNPAb30bFdz73HTb/2Gampqb8J9RLOfNfmWfHM3eA8QNeS1cLm3pDmJD4OG4jPt0uq0vlUu9CmY5h9spZvvt7340le6Zr2PnqnRStgqIsomMUy55q0TMphOI5r+9TUkYHB3xvUol/nhEjv4mdeI4gnIKoCpfDENjgilXbKpIdCXN3z/HWS9/qN/Y9S7Yz49aZW/nmLd/0zky6MvY8ww+IDcIiCLCmaZKmaew1SlMvHjPJSLN0HNrgxn1Xrcz3Ok0lU7QaXqiFQcFW7HiQbi3Env3SZ5NXOU+54Cm4rhcJv/knv8nNn7mZ8y86n/nevA/bEC+mszTzrlqSRQE8qkbRPQzv5Y9f93Gu+e/X8P53v5/fuva3EBF+45Lf4O477ma+P89LLnkJqUljxH1wHg1ecASBHT88sC6WFb75PW/mVT/xqlh6Ort1lt9/3+8zaoy4Z+me+J4PLk5FXc7nJIoGP1rLUVTF+H3i8NfXohEHpSu96CiLKKTCoOY4FLjyjl34uzbG+FJR8c6pJD7GPbizoSS0ctX9himH96sT/5qjg1SV5DaP95nsj2tmTZ/6iI2CKQS9hHK3MKg4CLpdU7vWjQA6GiqAFEVRFGUdEeKBJ3sRbrrppu97fsqKErvDYJ2N5SqTPRWT5UTDcsjyaJkDgwMcHByMpXDhU+VhOfTR3lUfLJx34Xn0yz5Pu+BpuI53Y37zXb/JzZ++mQv+/QUMCz8HCYgbOkF8DHVnhjNmz4j9NJX1m0Anjs+9/3Pc+Gc3curNp/LaP3wtg3LAO37xHczdNcdpm07jEc99RIy5zss8iry8ygG/yUyt3+hLQ7Die3DyPCc3+f3O20xrhmQq8X1GVRU/zUcgsQmVqXxYQz0Xyjobe5EmHacgdGI5YN0nEdwkhyMhicInXJ50FUJEOgBNkFcKXA2uV5dPdaD6jxX3yr3IgsTfE4RUSMkL6ypIdCpW9H7U7pYxvgzROuuPJ6lvcz6OPPRtxU29eIepkTWiiAlOA/VwXXmUcOe37wQgzVKa0iQ5O+ED3/iA76PKfMmfMQYsGGOi04EjuiA47+o1TAM5W9h2+ja+e+d3ec0LXwNAf6HPtjO2wePgU//8Ke9kpt7JjEN463CI0pXkpXeDJudfASzNL8X3DviEw7/5f3/D7LIvO0xN6t+ftVtSVmWcCwb4ni3wyYFJhlhhZEfx/RLEnHOOJElIrBfqsTQtDCe2+FlcCGL8z5MR8saZcTmmJPF34vw5DL1jDv9BRWa8uEyzlFT8HDLnHBjvuHYbXS92S8uwGHJg+QCD0n9AMSpHMZUxNakXgMG9lPpvxdXz0Yqcs7adxdMe8bTv+e/UWqMlcIqiKIqiHBHrLINiEDf4cSis85edc9FZGpQDRuWIYTmMYiB84h1KaMBfttbGzW8rafk0tUabzGQA5GXOvn37eO3LX8vdd9zNpi2bAFiYX+C0R53Gm979JtqzbX9MZcnQDekNeyzkCywMF+jlPV+uU29A89KX2okIg0MDbvmdW+jd0yOd9hv2crmkeUqTR77ukWTTWRwKG5wgJtonwsbSVt7NqagQ4wXG0heXmDp3CtP1wRPlckn/630aT27EcqnKVvETe2dddLLip/2H6SVxy4786tyX6gF0IHlNAlPjYwLuJ3zDJ/+TLtPk6wi3hbS78ByJSWKyXugnCSIqln3hk/omm+hDCWBwO4LAErwAnWycD5v3eIz1hj46JauO0Tnn+5x6FXNvncP26jLErmHXG3Zhpv3vSvCulCDjIImJob4m9aIzuGQlJcODQ+78wzsZ3TcimfLHVS1XNE5pcOaVZ5LOprEUUJwgSe0A1u+L0pWxByu4S0HATJa8ZeLf3xX+b0OcxGh0Jw5jTRRFsScKobD+b8daG583CFcRn0goTsAQewQd3p0KiYuuqoW5raK7ZJ1PX6Se54UjOktGDCmp/5s3FcaacXlhENHhOOo+vnN2nMN1F193v39H1gItgVMURVEU5QFhxPhPiI+RUDJXVEVskg5JdKHBOjRcl9bHbpeupCEN36xORWdLh7e89y28+oWvZmF+AYBNWzbx29f+Nt3N3ehkJWlCly7TjWlOM6eRJX6TGZycsizplV4QFWXBFz70BXr39Nhxxg4u/Z+XUtqS9/zqe5i7a45TvnsKj3v+4xhWw1geFAImRuWIUek//Q8DZsFvNCtbMfc3cxz48AGWbl7ijCvPICXl7nfezei+Ebsau9jy41t8mVi9QS4qX25XuIIy8ecgpNlVrvKiCEe1XDG4duDFz0TPkr3W0rqkBVNEhyk4NMFNCscHkJOvSO2adKSAKJAqKsTKCtE3eftkDHoQHEFEBcETNsqlLWP5VxA3MSq8LgecfK+FEAQxvnfFyNghi6Vr1SpxiGNUjqAkJuPFNDlx0U0KAioIuPCrBaG4pfDiZ0fCtp/bhogwd80c+X05e768h85TO96hqh8X3LAgpMKHAvF81r8z9oG5cSCCEd+Hl6T1MGBM/LsIAiWmGtY9UIkkUXAGAR5ESOi7Cq/NJH4NUvGDjvMyH5czCmOBZn3pXHRlxa+lsXWwQx2YgQNXOB/KIS4Gd4iT6NCBd3c7SYeTARVAiqIoiqI86CQmoW3atLP2iutDIlUQPkEMDcshw2IY08pmmjNsaW2hO+quiF42Yjh99nR2bN9BYhIvgmqnKc4vcjb2sBS2Fhm1YBmWQ0571Wlsam3iSc95EtNbphGEM991Jrd89hYuePkF3s0IiWp1yVIozyusF3R5mbOcLzPIByyX/vvCBQvcePONLP3rEt95y3cAKJYK2qe22fXkXXQ6HRpJg7z0CXvDakiZjXtcwoZyMu0LYOHrC/T398l2Zuz6hV0A3POOeyj2FrT/pU33qd1YLlbhj9FVddx6VcVzETbIFVUUSqtFyGphMSmmwuMm+5gm7x+I5XZ1SVj4TohDnxBPcV0Zl9/hgGqlexXfP8sV1bUV9Ihi0PUcc9fM0bqkFd2bIxHFA/XmH9+L1TivgbOO9uPblJ0SJ47uZV1G3xhhn2g5lB+K5yOIvMm0tfCeiQ5cfa7FiX8PWReFPrBCvAgSS95WJL/J+LVbvHvmrD/m0vo4eOusTz6sXDyOUNoYkwtrFyiIwFAmZ8Wf75jCaMZzrsIaBGcrvIeMmJgCCNDE95ZZ692jTa1NRz3/6wUtgVMURVEUZc0JYigMjxWEuf1zvPj5L+a2b93Gtu3bAJjbP8dZjz2L6z9xPdu3b49uTygXmhRYQNx0h/KeLMn8vJ7QwO9sFEchFat0JaNi5MvnqjI24xfWuzWTSWgO3/MUBMGhuUO87idfx+L8IgDTm6d5/Xtej+kalvIlhuUwNqeHhDLrbHSCgmMWmtlDSt69f30vm5+42W/wDeQLOfP/OM+WZ23xm9kJIROEW1VVK2KWQ3hFcC9sZaOgKcoibqYrVzsQQuzdwo1dD1euHIhbUt7PgQJi6dtqsTQ50Hbycf7XuPiY1T87HPYWi/ukg+1gLvGbfHetg/3AC8CcZ1aU3U3+nnB59UDdSVEXvhtMdLRW3zcw2XMVhNThAjLCc04ez2SJ3+T9J19r+B3x+lqgRKcGw+iWEc0faZJMJ4gTiqWC0ddHZP8mW1lGGcoA6z4r51w8T6FMNThJK86b9e8ZDFGQrV7TyRCGR216FP94xfrYp2sJnKIoiqIo65rQpD7pGP3Zx/6M275122ET8W78+I1cdvllcf5JZrIVn8aHKOXJQbOB0Lg++TtXbELrCOPJKOjJGS6hFCuv8ujmBEdrr9nrgwBqsiTjeY9+Htu3b0dEYh9UatIVn6SHZK7S+aStft5nsVikLPwn/YOnDFgaLbFcLMeerPJJtYNWFAyqQZwBFKLO/YuBopgQV3UkdEjOCylhceBlECK16xXKnYJADE6CGL85DqVvk7HY4cP1yvnQCOvsivAL6+rSO6nnNdVCLDxP+B2hjwc3dlaqH68YZANa57ZIu6kXGJdbel/r0X5yOzojzjmMG88rMuIdjlCCWNkq9nlNrn3AiaPlWjE5LiSdBXFe2SqKaisrQwyCm4WDNPXBAQ4ffACAxQtt8c5QURUrzk/oVRIj4zXCxZTD4OQM/2HI4GMDhl8eMnPZDIKw9K4lqn3+vd5+ajueS28y1WLKrBRjifGhKWGuVnwfuJU9WCEdMArFuoQunIPwnjkZUAGkKIqiKMq65AdNxJskuC6TpXelLekX/cOWcR2JEP2dmYws8QNPZ1ozgJ/hdOmFlzI/N79ihtPP/vTP8rkbP8fOnTvH5U3HkbzM6Rd9enmPQTmI8cX9su+/F/1YGhdKokJ8t3V2HMM8kU4WwhuKqqCf9xnZEQYTY7SN8wIDfNhFEIX9os9gNKCgoF/2cYVjZEf0qz5FWXhnwTJ2W0LpWL35D2ETufXOYGELqhdXMVXN4WAz8HC/sQ8CIQi+svJ9Z6HpP/TwxIGuxg9jDdHnUWhMEMI6JmcLBWeHurcmpuS5seMSZjxNzgYS48vdjDE0aFBRkVXjWTtBXIeyOBiXmYmT8cBbWzF6wojiywXlvpLFP/SOo+1Z0h0pM0+YIc3SsWsXZhW5iZJCIcZoS1qX8bkJV6oWTjBe/1C6V1H5sj2RGObQNm22TG05bu/rBxMVQIqiKIqirFtWC50dO3Ycs/gBVgyEXM39EtfcuAH9SDOVhuUw3j8koL3rve9i9+7dsUQP4OIXXszu3bt59/vezaWXXzo+ngkhFC7HwaNMXD7M9XFQbF3aF4RLOBYjhk6jw1Rz6n7lWJPHPBl9HhyNECUeAivyMvclbnYioa7eUJfWlweGxwa3Jd6vTkIL4QFh/lQc8DkxyDPcntucRJK4TuExVrzjEGKsi8q7XqUtoyNSuvG8q1CSJuLdmgovmFpJy/eOWS948iKnmTaZak75KG+TxuesqoqRHbE0WuLg6CC9Uc+nDtbnI5RKhoAHhHFsNWPBHe4b1io4QeE9maWZL2O01gudWnwEUZKSYhITRWlVeUco35Gz/OvLfOmNX6JY8s5iNp3x9F9/OlOzU/6YzNhtDMluTrw7Bl54lq6MTpyIeNeqdoVCmWhYi1heWjtKk8N9E0k4Z/s53++f5JqiAkhRFEVRlA1N+FR7fIX/dqRZSuA33JNiAeC1V76WVtriJRe9hJ07diIifPbGz3LDB2/g53/h58cJaEf5HsRE7Fs6jqQmjbNyGkkDEaFJc5zgZwvyNPepZBOpacElCMIplLKNyhG5zcdzgEIctrOIETpZJ/ZeBWciRKuHuTohGbCwBc75YZs2Gfcb4SBpjecmxThmxv1EgsTUtJj8VguSoiqigAiJa2GIaSIJnUYniq9hMaRX9KJrGMIFgqCbLO8LZZbBvQrhB3mZ85n3f4YffuYP05ppUVIyWhyx+/O7ef7Ln08n69BJOn5or60YVsPxOagKHytvhzHCPZy7RBJSSRltG/GV9CsUeAHUSls898zn0t7Sjj1gSVKX4NWJbmnie9bielrvYlWu8slxjOO3g9gJ4pt61lAQz/7tMBabj9z0yOP6nn2wOG4hCCLSAv4WaOKF1gedc//fqvsI8L+BF+DDHS91zt16tOfVEARFURRFUTYKQUBMiqI40HTCEVrR0D/hCk26PivS1JwfOJtXeSx5ypJsRb9UuC4IgrBnXNEnFOKmV10OLk8QTyua62Xl98ljS0wSn2tSDE6Wl8U+pAkn7HBljKFcMTEJmWTRpUgkiQ3/zjnyKmdQDnwyX+mTCJ1zNNIGnaxDO23TbXS9eKsTCVevy2SP2OQavfP/vJM3/NIbeNzjHsenP/dpSlvygue9gNu+dRtvfuubecWrXhFDOILAiutYO0I479QEsR3mbu3du5fXvfx195uTdfqjT+d33/u7zG6bjXOXgggMfU9hnlAQ2eFycAHjehniQNzEJCsGsE6+D4KDt7O7k6ec/pQH8lZ/0FmrEIQR8Gzn3LKIZMAXReRTzrm/n7jPTwCPqb+eDLyj/q4oiqIoirLhCZvNo7lRD5SpxlQUAKPKi6FG0ohfqUkfUL/S0YTRancrkWTswNQDQ1cTSg9XlwYe7ncG4TUZsR4cutKWfujnYcgS39M13ZyOomryWEbViFE1Ary7lZkshmgcrqwS/Nq9/N+/nHdd40sjn/ijTwR8X9jZZ5/NZa+4jB2bdhzzuQ3HdtVHr+LuO+7m7LPP5pOf+SRGDBc89wK+tftb7P/H/bz0ipeOH7fKaQzHt+J5nYsx10VVxPMXHSeTxhI9QVac6xA20kgax/R61orjJoCcP7vL9Y9Z/bVanv8k8J76vn8vIrMicqpz7t7jdVyKoiiKoiiKR0Ropk2aafNBfc6QbvdgYMR8z4310YTi4VLuJm+LKXETvVjhtklHzeFiOdz3HaDRhT//2J/z7Cc/m/379wOwbds2bvjEDWTTGQvDhRW9Xodz9eKxrnLzLn/15VSu4qKLLmLnjp0kJuHzN33+sCEhK0revg++n/dEehJ30hzXIxeRBPgK8GjgKufcl1fd5WHAdyd+3lNft0IAicjlwOUAp59++nE7XkVRFEVRFOWhhYjEeVHH9sDvfZfVEeuTBOE0aozu71jhYunbD9LrddElFwGwt7fX9z51E15+2ctZHC1GV221CxdE3eovgMxkNJIGWeK/H86ReyhwXAWQc64CflREZoEPi8g5zrlvTNzlcG+t+0lp59w1wDXge4COy8EqiqIoiqIoyjEQ0tKOxL59+3jRBS9ibv/cimj0i154ETfddBOn7DgF4H7lgauTCQOrB7KuCNCoE9oq6/u7juROTbpMRoxPiauFTl7lLOVL49cnyf0CD8JzTCYUhq/MZA+qm3i8OCHelXPukIh8Hng+MCmA9gCnTfz8cOCeE3FMiqIoiqIoinI8uf7669m9e/dhh/lOlqo92GWDQAyRWB2Y8b0ICYd5lcdI8cMR+n8mBVsn62xsASQi24GiFj9t4DnAW1bd7aPAlSLyfnz4wYL2/yiKoiiKoigPBR7MYb7Hyvdyp46EiMQgjGPhSK7VeuR4xmCfC1wLJPhZth9wzv03EXk1gHPuj+oY7LfjnaE+8J+cc0fNuNYYbEVRFEVRFEVRjsaaxGA7574G/Nhhrv+jicsOOL7yV1EURVEURVEUpeahGe2gKIqiKIqiKIpyGFQAKYqiKIqiKIqyYVABpCiKoiiKoijKhkEFkKIoiqIoiqIoGwYVQIqiKIqiKIqibBhUACmKoiiKoiiKsmFQAaQoiqIoiqIoyoZBBZCiKIqiKIqiKBsGFUCKoiiKoiiKomwYVAApiqIoiqIoirJhEOfcWh/DMSEi+4G71vo4NgjbgLm1PgjlAaFrd/Kia3fyomt38qJrd/Kia3fycrzX7gzn3PbD3XDSCSDlxCEi/+ice9JaH4dy7Ojanbzo2p286NqdvOjanbzo2p28rOXaaQmcoiiKoiiKoigbBhVAiqIoiqIoiqJsGFQAKUfjmrU+AOUBo2t38qJrd/Kia3fyomt38qJrd/KyZmunPUCKoiiKoiiKomwY1AFSFEVRFEVRFGXDoAJIURRFURRFUZQNgwqgDYaIvEtE9onINyaue7yI3CwiXxeRj4nIzMRtvyYid4jIP4vIBRPXP7G+/x0i8jYRkRP9WjYax7J2IvJcEflKff1XROTZE4/RtTuBHOvfXH376SKyLCJvmLhO1+0E8wD+vTy3vu2b9e2t+npduxPMMf57mYnItfX13xKRX5t4jK7dCUZEThORm+q1+KaI/GJ9/RYR+ayI3F5/3zzxGN2rrAOOde3WdK/inNOvDfQFPAN4AvCNiev+AXhmffky4Lfqy2cD/wQ0gUcCdwJJfdstwFMBAT4F/MRav7aH+tcxrt2PAbvqy+cA/zrxGF27dbpuE7ffAFwPvEHX7eRYOyAFvgY8vv55q/57edKs3c8A768vd4DvAI/QtVuztTsVeEJ9eRr4dr0f+V3gv9bX/1fgLfVl3ausk68HsHZrtldRB2iD4Zz7W2B+1dU/BPxtffmzwE/Xl38S/z+FkXPu/wF3AOeJyKnAjHPuZufcwYOPAAAFkklEQVTfpe8Bfur4H/3G5ljWzjn3VefcPfX13wRaItLUtTvxHOPfHCLyU8C/4NctXKfrtgYc49o9D/iac+6f6scecM5VunZrwzGunQO6IpICbSAHFnXt1gbn3L3OuVvry0vAt4CH4fck19Z3u5bxWuheZZ1wrGu3lnsVFUAKwDeAF9eXLwZOqy8/DPjuxP321Nc9rL68+nrlxHOktZvkp4GvOudG6NqtFw67biLSBf4L8KZV99d1Wz8c6W/uLMCJyKdF5FYR+dX6el279cOR1u6DQA+4F7gb+J/OuXl07dYcEXkE3iX4MrDTOXcv+I02sKO+m+5V1iHf59pNckL3KiqAFPClAFeIyFfwlmVeX3+4ekt3lOuVE8+R1g4AEflh4C3Az4erDvMcunYnniOt25uAP3DOLa+6v67b+uFIa5cCTwf+Q/39QhH5d+jarSeOtHbnARWwC19C9XoRORNduzVFRKbw5cC/5JxbPNpdD3Od7lXWkGNYu3D/E75XSR/MJ1NOTpxzt+HLNxCRs4AX1jftYaWj8HDgnvr6hx/meuUEc5S1Q0QeDnwYeKVz7s76al27dcBR1u3JwEUi8rvALGBFZIj/H4mu2zrge/x7+TfOubn6tk/ie1CuQ9duXXCUtfsZ4K+ccwWwT0S+BDwJ+AK6dmuCiGT4f/fe55z7UH31XhE51Tl3b10ita++Xvcq64hjXLs126uoA6QgIjvq7wb4deCP6ps+Crysrsd8JPAY4JbavlwSkafUqRyvBP5yDQ59w3OktRORWeATwK85574U7q9rtz440ro5537cOfcI59wjgP8F/A/n3Nt13dYPR/n38tPAuSLSqXtJngns1rVbPxxl7e4Gni2eLvAU4DZdu7WhPtd/AnzLOff7Ezd9FLikvnwJ47XQvco64VjXbi33KiqANhgi8ufAzcAPicgeEXkV8HIR+TZwG15hvxvAOfdN4APAbuCvgCucc1X9VL8AvBPfbHgnPqFDOY4cy9oBVwKPBn5DRP5v/RVqbnXtTiDHuG5HQ9ftBHOM/14eBH4fnzT2f4FbnXOfqJ9K1+4Ec4x/d1cBU/geoX8A3u2c+1p9m67diedpwH/Ei9Lw/68XAL8DPFdEbgeeW/+se5X1xTGtHWu4V5E6ak5RFEVRFEVRFOUhjzpAiqIoiqIoiqJsGFQAKYqiKIqiKIqyYVABpCiKoiiKoijKhkEFkKIoiqIoiqIoGwYVQIqiKIqiKIqibBhUACmKoiiKoiiKsmFQAaQoiqJsGEQkWetjUBRFUdYWFUCKoijKukREfktEfnHi598WkdeJyK+IyD+IyNdE5E0Tt39ERL4iIt8Ukcsnrl8Wkf8mIl8GnnqCX4aiKIqyzlABpCiKoqxX/gS4BEBEDPAyYC/wGOA84EeBJ4rIM+r7X+aceyLwJOB1IrK1vr4LfMM592Tn3BdP5AtQFEVR1h/pWh+AoiiKohwO59x3ROSAiPwYsBP4KvBvgOfVlwGm8ILob/Gi58L6+tPq6w8AFXDDiTx2RVEUZf2iAkhRFEVZz7wTuBQ4BXgX8O+ANzvn/s/knUTkWcBzgKc65/oi8nmgVd88dM5VJ+qAFUVRlPWNlsApiqIo65kPA8/HOz+frr8uE5EpABF5mIjsADYBB2vx81jgKWt1wIqiKMr6Rh0gRVEUZd3inMtF5CbgUO3ifEZEHgfcLCIAy8ArgL8CXi0iXwP+Gfj7tTpmRVEUZX0jzrm1PgZFURRFOSx1+MGtwMXOudvX+ngURVGUkx8tgVMURVHWJSJyNnAHcKOKH0VRFOXBQh0gRVEURVEURVE2DOoAKYqiKIqiKIqyYVABpCiKoiiKoijKhkEFkKIoiqIoiqIoGwYVQIqiKIqiKIqibBhUACmKoiiKoiiKsmH4/wGISy2jA/kUXQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(2,1, figsize=(14,12))\n", "\n", "samples = sample_dgp(m_deep, Xnew, 10, include_likelihood=True)\n", "for sample in samples:\n", " axs[0].plot(Xnew, sample, 'go', alpha=0.2)\n", "axs[0].plot(X, y, 'kx', mew=2)\n", "axs[0].set_title(\"observable samples\")\n", "\n", "samples = sample_dgp(m_deep, Xnew, 100, include_likelihood=False)\n", "for sample in samples:\n", " axs[1].plot(Xnew, sample, 'g-', alpha=0.1)\n", "axs[1].plot(X, y, 'kx', mew=2)\n", "axs[1].set_title(\"latent samples\")\n", "\n", "[(ax.set_xlabel(\"year\"), ax.set_ylabel(\"pace (minutes per kilometer)\")) for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "Now you have seen how we can fit a deep GP to data, and sample from the posterior. Using the following utility code snippets, construct a deep GP prior and same from it. Apply standard and deep GP regression to the model, and comment on the results." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def gp_prior_sample(x, kern=GPy.kern.RBF):\n", " ''' '''\n", " if not isinstance(kern, GPy.kern.Kern):\n", " kern = kern(x.shape[1], ARD=True)\n", " mu = np.zeros((x.shape[0]))\n", " C = kern.K(x,x)\n", " return np.random.multivariate_normal(mu, C, 1).T\n", "\n", "def deepgp_prior_sample(x, kernels=[GPy.kern.RBF]):\n", " ''' Sample from hierarchical model: f = f1(f2(...fn(x)))\n", " where fi ~ GP(0,Ki) and Ki = kernels[i].K\n", " '''\n", " z = x\n", " for kern in reversed(kernels):\n", " z = gp_prior_sample(z, kern=kern)\n", " return z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Using the utility code, we can easily sample using a list of kernels. In the below example, we define a GP with three warping layers, each with an RBF kernel defined using different hyperparameter values." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "kernels = [\n", " GPy.kern.RBF(1, lengthscale=0.2),\n", " GPy.kern.RBF(1, variance=0.1, lengthscale=0.5),\n", " GPy.kern.RBF(1, lengthscale=0.1)\n", "] # The kernels for our respective layers\n", "\n", "Xnew = np.linspace(0., 1., num=1000)[:,None]\n", "\n", "np.random.seed(458)\n", "f = deepgp_prior_sample(Xnew, kernels=kernels) #f1(f2(f3(Xnew)))\n", "X = Xnew[::10]\n", "y = f[::10] + 0.1*np.random.randn(*X.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> We can plot our samples, and observe the erratic behaviour of the curve. It should be clear that fitting a standard GP would not give a reliable fit." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plt.plot(Xnew, f,'-', X, y, 'k.')\n", "plt.xlabel('x'), plt.ylabel('y'), plt.legend(labels=['latent sample','observations']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> We will try and regress this data using the same kernel list, and apply hyperparameter optimisation for good measure." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "188e0a4906754024af1a95ea49a2c505", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_hidden = len(kernels) - 1\n", "latent_dim = 1\n", "\n", "m_deep = deepgp.DeepGP(\n", " # this describes the shapes of the inputs and outputs of our latent GPs\n", " [y.shape[1], *[latent_dim]*num_hidden, X.shape[1]],\n", " X = X, # training input\n", " Y = y, # training outout\n", " inits = [*['PCA']*num_hidden, 'PCA'], # initialise layers\n", " kernels = kernels,\n", " num_inducing = 100,\n", " back_constraint = False\n", ")\n", "\n", "optimise_dgp(m_deep)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plot_gp(m_deep, Xnew, training_points=True)\n", "plt.title(\"deep gp fit\")\n", "\n", "plot_dgp_layers(m_deep, Xnew)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Approximating Discontinuities\n", "\n", "One of the benefits of deep Gaussian processes is that we can warp the latent GPs non-linearly, which helps model more complex structures, such as step discontinuties. In this section, we will show an example of how a deep GP can be used to model a rectangle function, and compare it to a standard GP.\n", "\n", "First, we will create some data from a rectangle function, with the upper and lower parts overlapping randomly:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def overlapping_rect(scale=1.):\n", " ''' Create a rectangle function with overlap in upper and lower layers'''\n", " x = np.linspace(0., 1., 400)\n", " y = np.hstack([np.zeros(100), np.random.choice([0., 1.], size=(50,)), np.ones(100), np.random.choice([0., 1.], size=(50,)), np.zeros(100)])\n", " return x[:,None], scale*y[:,None]\n", "\n", "# We generate and plot our data (not that there is no added noise)\n", "X, y = overlapping_rect()\n", "\n", "plt.figure(figsize=(14, 6))\n", "plt.plot(X, y, 'kx', alpha=0.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we know from previous labs, fitting a GP to this will be difficult because of the inherent smoothness assumed. However, we will fit and plot one all the same, just for comparison:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 51.22564245343125
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
rbf.variance 0.2510890841156063 +ve
rbf.lengthscale 0.21060728554830824 +ve
Gaussian_noise.variance0.07030460599179973 +ve
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_full = GPy.models.GPRegression(X, y, kernel=GPy.kern.RBF(1))\n", "m_full.optimize()\n", "display(m_full)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAAFzCAYAAAAExSmcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeXRc1Zk2+ufUPKhUmqeSbNl4lGRbngATIIYEQhhsMDhfSKc7ab4bmjR0utM3uZ1kJZ2Qm5VOeuUmt/vihO7VzQf5MhEDHjBjwAbbDB5kDZblWZKlGlSjVKNq3vcPyYqNZeNB0qmq8/zW8rJVqjp+ZVfVqefsvd8tCSFAREREREREgEruAoiIiIiIiHIFAxIREREREdE4BiQiIiIiIqJxDEhERERERETjGJCIiIiIiIjGMSARERERERGN08hdwHSoqKgQjY2NcpdBREREREQ5qq2tzSeEqPzo7QUZkBobG3Hw4EG5yyAiIiIiohwlSdKZyW7nFDsiIiIiIqJxDEhERERERETjGJCIiIiIiIjGFeQaJCIiIiKimZBKpWC32xGPx+UuhS7CYDCgvr4eWq32su7PgEREREREdJXsdjssFgsaGxshSZLc5dBHCCHg9/tht9sxZ86cy3oMp9gREREREV2leDyO8vJyhqMcJUkSysvLr2iEjwGJiIiIiOgaMBzltiv9/2FAIiIiIiLKY263G1/4whcwd+5crFy5EmvWrMGWLVsAAO+88w6sViuWL1+OxYsX48knn5z0GN/85jfR3NyMb37zm3j66afx61//GgDw7LPPwul0ztjPkgu4BomIiIiIKE8JIXD//ffjS1/6En73u98BAM6cOYPt27dP3OeWW27Bjh07EI1G0drainvvvRcrV6487zj/8R//Aa/XC71ef97tzz77LFpaWlBXVzf9P0yOYEAiIiIiIspTO3fuhE6nw2OPPTZx2+zZs/F3f/d3F9zXbDZj5cqVOH369HkBad26dYhGo7jhhhvw7W9/G0ePHkVRUREaGxtx8OBB/MVf/AWMRiM++OADGI3GGfm55MSAREREREQ0BZ58+Qh6nKEpPWZTXTG+f1/zRb9/5MgRrFix4rKO5ff78eGHH+J73/veebdv374dRUVF6OjoAAD84Ac/AAA89NBDeOqpp/Czn/0Mq1aturofIA8xIBERERERFYjHH38ce/fuhU6nw4EDBwAAe/bswfLly6FSqfCtb30Lzc0XD1zEgERERAUknckiFE8jHE8hmsggns4gmc4ikxXICgEJEtQqCTqNBL1GDbNegyK9BlajFjoN+xYR0bW51EjPdGlubsaLL7448fWmTZvg8/nOG/E5uwaJLg8DEhER5aVkOouhYByu4Cjc4QT8kQSCoykIcXXHK9JrUF6kQ6VFj1qrAbVWI8x6niaJKLfdfvvt+M53voNf/epX+OpXvwoAiMViU3Z8i8WCcDg8ZcfLB3znJyKivOEOxdHrjWIgEMVQMIHs1aahSUQSaUQSaZzx//mDRXmRDrPKTJhTYUZ9qQlqFfc6IaLcIkkStm7diq9//ev413/9V1RWVsJsNuOnP/3plBz/y1/+Mh577DFFNWmQxBSeXHLFqlWrxMGDB+Uug4iIpoAnHMcxVxgn3GGE42nZ6tBrVZhbUYRFNRbMKjNBxbBERACOHj2KxYsXy10GfYzJ/p8kSWoTQlzQfYIjSERElHOS6SyOukLodgbhCSXkLgcAkEiN1XTUFUKRXoPFtcVYUm+F1aiVuzQiIppCDEhERJQzQvEU2gdG0O0IIpnOyl3ORUUSaRzoD+DgmQDmVJixYlYpGspMcpdFRERTgAGJiIhkNxxNYl9fAMeHwlO6rmi6CQH0eqPo9UZRazVg9ZwyXFdZJHdZRER0DRiQiIhINsHRFD7s9eOYK7+C0WRcwTi2dzhRXWzATdeVo7HCLHdJRER0FWQNSJIkPQPgXgAeIUTLJN9fC2AbgL7xm14SQvxw5iokIqLpEE9lsL8vgM7BEaSz+R2MPsodimNLuwP1pUbcuqAS1cUGuUsiIqIrIPcI0rMAngLw60vcZ48Q4t6ZKYeIiKaTEAJHnCG8d8qHWDIjdznTyj48it/vH8Di2mLcPK+CeyoREeUJWbcNF0LsBhCQswYiIpoZnnAczx8YxJ963AUfjs4SAuhxhvDcB/1oHxhGIW6tQUSXb9OmTfB4PBNfezwebNq0ScaKrtzatWsxndvpbN++HT/5yU8ueZ/+/n787ne/m7YaZA1Il2mNJEmdkiS9JklSs9zFEBHRlUlnsnjvlA+/3zcIVzAudzmySKSyeOe4F7/fPwhPWJn/BkRKt2nTJjzxxBO47bbb4PF44PF4cNttt+GJJ57Iu5A0ndatW4dvfetbl7yP0gPSIQCzhRDLAPx/ALZe7I6SJD0qSdJBSZIOer3eGSuQiIgubigYx+/2D2B/XyDvmzBMBXcojt/vG8T7p3zIFNjaKyK6tI0bN6KpqQk9PT1oaWlBS0sLenp60NTUhI0bN171caPRKO655x4sW7YMLS0teP755wEAP/zhD7F69Wq0tLTg0UcfnRjBXrt2Lb7+9a/j1ltvxeLFi3HgwAFs2LAB8+fPx3e/+10AYwFk0aJF+NKXvoSlS5fioYceQiwWu+DvfvPNN7FmzRqsWLECGzduRCQSueA+a9euxT/8wz/gpptuQktLC/bv3w8ACAQCuP/++7F06VLceOON6OrqAgA8++yzeOKJJwAAX/7yl/G1r30NN910E+bOnYsXXngBAPCtb30Le/bsQWtrK37xi1/gyJEjuP7669Ha2oqlS5fi5MmTV/3vCeR4QBJChIQQkfE/vwpAK0lSxUXu+59CiFVCiFWVlZUzWicREZ0vmxV4/7QPzx8YhD+SlLucnJIVAvv6Avjd/gF4w7mxCS4RTb+qqirs2rULlZWV8Hq98Hq9qKysxK5du1BVVXXVx3399ddRV1eHzs5OdHd346677gIAPPHEEzhw4AC6u7sxOjqKHTt2TDxGp9Nh9+7deOyxx7B+/Xps2rQJ3d3dePbZZ+H3+wEAx48fx6OPPoquri4UFxfjl7/85Xl/r8/nw49+9CO89dZbOHToEFatWoWf//znk9YYjUbx/vvv45e//CUeeeQRAMD3v/99LF++HF1dXfjxj3+Mv/qrv5r0sS6XC3v37sWOHTsmRpZ+8pOf4JZbbkFHRwe+/vWv4+mnn8bf//3fo6OjAwcPHkR9ff1V/3sCOR6QJEmqkSRJGv/z9Rir1y9vVUREdCnBWAp/PDiIfb0cNboUXziBP+wfQNuZANcmEdFVW7JkCd566y380z/9E/bs2QOr1QoA2LVrF2644QYsWbIEO3fuxJEjRyYes27duonHNjc3o7a2Fnq9HnPnzsXg4CAAoKGhAZ/4xCcAAF/84hexd+/e8/7eDz/8ED09PfjEJz6B1tZWPPfcczhz5sykNT788MMAgFtvvRWhUAgjIyPYu3cv/vIv/xIAcPvtt8Pv9yMYDF7w2Pvvvx8qlQpNTU1wu92THn/NmjX48Y9/jJ/+9Kc4c+YMjEbjZf/7TUbWgCRJ0u8BfABgoSRJdkmS/qckSY9JkvTY+F0eAtAtSVIngH8H8HnBswgRUc464Q7jN/vOKHat0ZVKZwV2n/BhS7sD0URa7nKIaBqdXXN0duTo7EjS2TVJV2vBggVoa2vDkiVL8O1vfxs//OEPEY/H8bd/+7d44YUXcPjwYXzlK19BPP7n92W9Xg8AUKlUE38++3U6PfZeND5GMeGjXwshcMcdd6CjowMdHR3o6enBf//3f09a42THmuwj/Ufvd26tZ//OyXzhC1/A9u3bYTQa8ZnPfAY7d+6c9H6XS+4udg8LIWqFEFohRL0Q4r+FEE8LIZ4e//5TQohmIcQyIcSNQoj35ayXiIgml8kK7DzmxitdLiTTWbnLyTtn/DH8dt8ZDAYunONPRIVh8+bNE2uOuru70d3dPbEmafPmzVd9XKfTCZPJhC9+8Yv4xje+gUOHDk2EoYqKCkQikYm1O1diYGAAH3zwAQDg97//PW6++ebzvn/jjTfivffew6lTpwAAsVgMJ06cmPRYZ9dF7d27F1arFVarFbfeeit++9vfAgDeeecdVFRUoLi4+LJqs1gsCIfDE1/39vZi7ty5+NrXvoZ169ZNrGe6WtyUgYiIrkk4nsIrXS6OGl2jaCKDFw/ZsWZuOa6fUzbplVQiyl+PP/44gLFmDWfXHO3atQubN2+e+N7VOHz4ML75zW9CpVJBq9XiV7/6FUpKSvCVr3wFS5YsQWNjI1avXn3Fx128eDGee+45/M3f/A3mz5+Pr371q+d9v7KyEs8++ywefvhhJBJj6yl/9KMfYcGCBRccq7S0FDfddBNCoRCeeeYZAMAPfvAD/PVf/zWWLl0Kk8mE55577rJrW7p0KTQaDZYtW4Yvf/nLiMfj+M1vfgOtVouamhr88z//8xX/vOeSCnHG2qpVq8R09mcnIqIx9uEYXulyKWZfo5kyt9KMzzTXwKBVy10KEX2Mo0ePYvHixXKXMaX6+/tx7733oru7+5qPtXbtWvzsZz/DqlWrpqCyqzfZ/5MkSW1CiAsKy+kmDURElLsO24N46ZCD4Wga9Hqj+MP+AQSi7ABIRDTTOMWOiIiuSDYr8O5JLzoGRuQupaANx1L4/f4B3L2kFnMqzHKXQ0QK0tjYOCWjR8DY+qJ8wxEkIiK6bIl0Bts7nQxHMySZzmJbhwNtZ4blLoWISDE4gkRERJclkkhja7uDm5vOMCGA3Se8GIklcdvCKqhUbN5AlGuEEGysksOutOcCR5CIiOhj+SNjm5oyHMmnyx7Etk4H26gT5RiDwQC/388Nn3OUEAJ+vx8Gg+GyH8MRJCIiuiTHyCi2dzgRT7EZg9z6fTFsbhvE+lYbivQ8hRPlgvr6etjtdni9XrlLoYswGAyor6+/7Pvz3ZWIiC7qtDeC1w67kMrwymiu8IQSeP7AIB5YbkOZWSd3OUSKp9VqMWfOHLnLoCnEKXZERDSpHmcIOzoZjnJRaDSFPx4cxBA35yUimnIMSEREdIGOwRG82TOELOfU56zRZAYvHrJjwB+TuxQiooLCgEREROc50B/ArmMeMBvlvrNtwE95wnKXQkRUMBiQiIhowgen/dh70id3GXQF0lmBV7qG0OMMyV0KEVFBYEAiIiIAwHunfPiw1y93GXQVskLgzZ4hdNm5gS8R0bViQCIiIuw56cX+voDcZdA1EAJ4+6gHhwaG5S6FiCivMSARESncnpNeHOznh+pC8e5xLw72M+wSEV0tBiQiIgXbe9LHcFSA9pz0cUSQiOgqMSARESnU+6d8OMCRhoL13ikf9nFNGRHRFWNAIiJSoH29fuzjCEPBe/+0nyNJRERXiAGJiEhh2s4E8P5pjiwoxXunfFyTRER0BRiQiIgUpMs+gt0nuM+R0uw56WN3OyKiy8SARESkEEddIew85pG7DJLJu8e96BzkPklERB+HAYmISAFOeSJ484gbQshdCclp13EPuh1BucsgIsppDEhERAVuMBDDa4ddyDIdKZ4QwFtH3Tg+FJa7FCKinMWARERUwNyhOLZ3OpHOMhzRGCGAN44ModcbkbsUIqKcxIBERFSgAtEktrQ7kExn5S6FckwmK/BKlwuDgZjcpRAR5RwGJCKiAhSOp/DSITtGkxm5S6Eclc4KbO90YigYl7sUIqKcwoBERFRg4qkMtrY7EI6n5S6FclwyncWWdgd8kYTcpRAR5QwGJCKiApLKZLG9wwlfJCl3KZQn4qkMthxyIDiakrsUIqKcwIBERFQgslmBVw+74BgZlbsUyjORRBovHbIjluSoIxERAxIRUYHYecyDXm9U7jIoT43EUnjpkAOJNNetEZGyMSARERWAD3v9OMwNQOkaecMJbO9wIp1h50MiUi4GJCKiPNftCOKD0365y6ACYR8exWvdQ8hy7ywiUigGJCKiPNbni+Ltox65y6ACc8oTwc5jfF4RkTIxIBER5SlPKI5XD7uQFbzST1PvsCOI90/75C6DiGjGMSAREeWh4GgKWzscSKa5VoSmz77eALrsI3KXQUQ0oxiQiIjyTDyVwbYOB6IJdhuj6bfzmAenPGG5yyAimjEMSEREeSSTFXi50wk/N4KlGSIE8NrhIe6vRUSKwYBERJQnhBB488gQ7MP8oEozK50V2N7hhD+SkLsUIqJpx4BERJQnPjjtx7EhTnUiecRTGWxpdyAcT8ldChHRtGJAIiLKA92OIPb1BeQugxQuHE9ja4cT8RTXvxFR4WJAIiLKcWf83OuIcocvnMCOLhcy3EiWiAoUAxIRUQ7zRcY+jHKvI8olg4EY3jwyBMHnJREVIAYkIqIcFUmksbWdex1Rbjo2FMbeU9xIlogKDwMSEVEOSmWy2N7hRDielrsUoos62D+M9oFhucsgIppSDEhERDlGCIFXD7vgDsXlLoXoY717wsuNZImooDAgERHlmHdPeNHrjcpdBtFlObuRrJMbyRJRgWBAIiLKIR2DI2gfGJG7DKIrks4KbO90YjialLsUIqJrppG7ACIiGtPrjeDd4165y8g7QghEExl4IwmMxJIIjaYRjKcwmswgns4gkcoiKwSEAAQEtGoVtGoV9BoVzHoNzDo1io1alJp0KDPrUGLUQqWS5P6x8s5ocmwj2f+xugFmPT9eEFH+4jsYEVEO8ITjeK17iO28L0M2K+AJJ2AfjsE+MgpPKIHRczYu1aolFBu1MOnUKDboodOqoJYkqKSx0JPKZpHKCMRTGUTiaQwF4xc8vtpiQI3VgPpSI2wlRmjUnHBxOYKjKWzrcOKhlfXQafhvRkT5iQGJiEhm4XgK2zucbOd9Ccl0Fv3+KHp9UfT7okiM/1uVmXSYU2FGlUWPCoseZSYdDFoVJOnKRoCS6SwCsSQC0SQ8oTiGQnEcGhjGwTPDUKsk1JUYcF1lEeZVFnF05GO4Q3G8etiFdcvqOBJHRHlJKsRN3latWiUOHjwodxlERB8rmc7ijwcH4Q0n5C4l52SFwEAghmOuME57I0hnBYxaNRorTGgsN8NWYpzWsJLKZOEYGcWAP4Z+fxTDsRQAwFZiRHNdMeZXFXFk6RJabFbc0VQtdxlERBclSVKbEGLVR2/nZTAiIplks2PtvBmOzpdIZXDEFULn4AhC8TT0GhUW1VqwqLoYtSWGialy002rVqGx3IzGcjNuERUIRJM46Yng+FAYb/a48e4JLxbVWNBis6KiSD8jNeWTbkcQFoMGN84tl7sUIqIrwoBERIqwadMmbNy4EVVVVQAAj8eDJ554Ak899RSqqqqwadMmrF27Fu+88w4AYO3atXjyySexYsUK3HfffXjnnXewceNGPPPMM7BYLHj88cfPO+7mzZsRDodx33334cknn8T3v/99vPzyy7BYLBPfB4BwOIxHHnkEVVVVePQb38We3Xswb9n1+PTnH0V42I99b7wIx6kebHj8e7CUlmPv9t/iuqXX483fbMKGx7+HfW+8iP6edtzzyD/izd9swp1ffBxHPtwFg8mMZbfchZc2/d/Y8Pj30LnndcRjUSRGo9AbzQCAU537AQAarRb3PPKPeOWZnyOdSl3RbfOWXX9Vx7qcxwm1GnWfegQHNm9CNpOEXqPGwtYbUF6kw8nXD+JkjtSp0Wqx9qG/xSvP/Bxvjo7iTQDVC1egvsQE78l2AFJO/BvPW3Y9bvjMg3j+F99F7ZyFsJZXAsDE88k2rwnNN96G0137seyWu/D8L76LxqblE8+lc59rF7sPAHTueX3S517zjbfhsR/9A37wg+/jf/2/PwYA/PjHP554LX3lK18BAKxZswaPPPIInnnmGUQiERw+fHjivmdfS9/5znewZs2aidfzI488gs2bN0+8th5//PFJX+Nnv0dEdEWEELL9AvAMAA+A7ot8XwLw7wBOAegCsOJyjrty5UpBRHTWU089JQCIpqYm4Xa7hdvtFjU1NQKAqKmpEf/yL/8iAAi9Xi8ACABCo9FM/Fmn0wkAorKycuK2p556auK4Z48FQKjV6vN+/+j3AYiFCxeKR574P8+77VMPf1VU1jdOfG0pqxR3PzJ2H0k1diyd0fznx0jSed8DIPSmovN+v+Sv8cdf1W3T+TjM8N+XC4+bxhq0BuMFt537nFFrtBc+twBRVFJ+wf0/ep/K+jkTz9nJnnuSSnVBnWdfF0VF5z9HKyoqLqzz7HN8kp/z7Gvx7Gtr48aNAjj/Nd7U1CSAsdcqEdFkABwUk2QJWdcgSZJ0K4AIgF8LIVom+f7dAP4OwN0AbgDwb0KIGz7uuFyDRETn8ng8uO2229DT04PKyrGr6F6vF3q9HolEAuXl5RgZGUEmk4FKNbbAP5PJXPR4CxcuxO7duwFg4rgqlQrZ7IVNFtRqNTKZDBYsWIBMJoPTp09PflBJAsbfj9UaLTLpFEyWEsSjYWSzF69l4uEqFUQ2C7VWh0wqCUlSQQg2faBzSBIkSYKY5Hl63t3Gn0uXex9JpYbIZmb8uXf2tdXU1IQ//vGP+NznPnfBa7ypqQm7du2aGFUiIjrXxdYgybq6VAixG0DgEndZj7HwJIQQHwIokSSpdmaqI6JCUVVVhV27dqGyshJerxderxeVlZVoa2tDZWUl/H4/MpkMJElCNpud+PNkysvLsXv3blRVVZ133MnCEQBkMhlUVlZiz549eP/991FadpH1GOPhyFxcgn/85RYUWcsQC48gm714Lec9PJtFkbUM/7jpJRRZyxiO6HzjAVxksxd9PpmKimEuLrlkOJrsPiKbuarnXmlpKUpLS6/s5zjH2dfWrl270NzcPOlrnOGIiK5GrrffsQEYPOdr+/htF5Ak6VFJkg5KknTQ6+VGi0SUe0KxFJLpjx8NIiIiIvnI3uZbkqRGADsuMsXuFQD/IoTYO/712wD+LyFE26WOySl2RHSuXJhiN3/+AozE4vA6BiY/KKfY0XTjFDsiovPk5BS7y2AH0HDO1/UAnDLVQkR5avPmzejp6UFTUxO6u7vR3d2NmpoaJBIJ1NTU4Bvf+AYymQz0ev3EFDuN5s9NPnU6HQBMfPA6fvw4Nm/ePHHcmpqaiXCkVqvP+z2TyaCmpgYnT56YCEeV9XPwqYcfO6/GT33+MVTWN449Jp2CpawSazf+z7EpdqqxY+nGu9EBGAtUwMT3RDYLvakImVQSelPRx39AnWya1eXexsdd/eMwszVoDcY/f3F2it34cwYYC+PA+c8tkc2iqOTPU0Ene/6JbBaV9XNQWd8Ikc1M+tyTVKoL6jx7LIPpnOcygIqKikl+POm8389VWVk58drq6enBk08+ecFrvKmpCT09PRMdJImILleut/neDuAJSZL+gLEmDUEhhEvmmogoz5xt83tuC+DOzs7z2nxbLJaravN99rgXa/NdVFSE8pZP4oUXXwAAxGNR3PCZB2EpLYfeaMapzv0Tbb5vvf8vL2jzbTCZ87bN97b/+n/gGQ4jns6geuFKzKsqwuCRtmn7+3L+cRot5t79f2Dn//43iEwSpSYdSizmgm7zffY5+sozPweA84712tM/QJXFMG1tvnft2sU230R0VeTuYvd7AGsBVABwA/g+AC0ACCGelsYuGz0F4C4AMQB/LYT42LlznGJHRLli70kfDvRfqhdN4RFC4IgrhN0nvJAg4Zb5FWiuK76sZhNKEIqn8PZRDwYCMTSWm/DpxdUw63P9euX0uGFOGW6ad+HoERHRTLjYFDvZ1yBNBwYkIsoFnYMj2HnMI3cZMyqRzmDnMQ9OuCOoLzXijqZqFBu0cpeVc4QQ6LQHsfeUD1q1hE8tqsa8qiK5y5LF7YuqsKyhRO4yiEiBLhaQlHnJiohomp32RvDOcWV11HSH4nitewih0RTWzC3HqsZSqDhqNClJktDaUIJZZSa8cWQIrxx2oaWuGJ9cUAmNOteXB0+tXcc9MOnUmF9tkbsUIpom7lAcnYMjaLZZYSsxfvwDZMaAREQ0xYaCcbx22IVsAY7QT+bsaMiek16YdBo8uLI+L06AuaDMrMPnVjXgg14/2s4Mwx1O4O6WGpSYdHKXNmOEAF7vHoJBq0ZDmUnucohoiqQzWRx3h9FlD2IoGAcALKoplrmqy8OAREQ0hYajSWzrcCCVUUY4SmeyePuYB8eGwphTYcadTdUwaNUf/0CaoFZJuHleBepKDHjziBu/PzCIO5uqcV2lcqbcpbMC2zud2LiyHlXFBrnLIaJrEIqn0DUYRLcziNFkfu79x4BERDRFook0trQ7EMvTE8KVCsdT2NHlgiecwI1zynD9nDI2YrgGcyuK8PD1erx62IUdXS6snFWKm+aVK2aaYjKdxdYOBz63qkFRI2hEhcIxMor2gWGc9kTzfgYFAxIR0RRIprPY1uFEcDQldykzwjE8ilcOu5DJCty3tBZzFTTaMZ2sRi02rqrH7hM+tA0MwxdN4LMtNdBrlDEqF01k8NIhBz63ugFFCu3sR5RPslmBE54w2gdGJqbRFQK++xARXaNMVmBHlxPuUOGcHC6lxxXC20fdKDZqcd/SOpSZebV/KmlUKty+qAqVRXq8c8KD5w8M4r5ldShVyKhKcDSFLYfs2LiqgdM1iXJUIp1BtyOE9oFhhONpucuZcgxIRETXQAiBN48M4Yw/Jncp004IgQ/7AtjfF0BDqRH3LKmFnh9gp82SeitKzVq8ctiF5w8M4u4ltZilkCYGvsjYWr4NK+qhVVhXP6JcFkmk0T4wjMOOIBKprNzlTBu+6xARXYN3T3hxbCgsdxnTLp3N4s0eN/b3BdBUW4z1rTaGoxlQX2rC51fPQpFeg60dDnQ7g3KXNGOcI3G83OlEJpvfaxmICkEgmsSfetx4Zm8fDvYPF3Q4AhiQpt0RZxDxlDIWbBMpzf6+ANoHRuQuY9olUhlsa3fi2FAYa+aW49OLq6BWKaNxQC6wGrX43KoGzCo14e2jHnzQ60chbvI+mTP+GF7rdiHLkEQkC3cojh1dTvz6g350O4KKuWDBKXbTbO9JH3Ye9eC6qiI01xVjVpmJXZ6ICsBhexDvnfLJXca0iybS2NrhQCCaxGeaqrGoNj/2sCg0OrKssRAAACAASURBVI0K9y2rw85jHuzvCyAcT+FTi6oVEVRPuiP4k9qNO5uqef4kmiH24Rj29wUUMX18MgxIMyCdFTg+FMbxoTCsRi2a64rRbLOyQw9RnjrpDuPtY265y5h2wdEUtrQ7EE2ksW5ZHWaXm+UuSdHUKgmfXlyFYoMGH/YFEE1kcM+SWug0hT8ZpMcZgk6twm2LquQuhaignfFHsa8vAMfwqNylyIqf0GdYcDSF90/78WFvAHMqzVhis6KxnKNKRPnijD+K17qHUOgznHyRBLa0O5DNCmxYYUOt1Sh3SQRAkiTcMLccFoMWbx9z46V2O9a32mBUwHqwjsERaNUq3Dy/Qu5SiApOrzeCfX2BgmrVfS0YkGSSFQKnPRGc9kRQbNSipa4YLTYrzBxVIspZzpFRRSwadwVHsa3DCY1awkMr61FepJe7JPqIprpiGLQqvNo9hBfa7HhguU0RsxIO9AegUUu4cW653KUQ5T0hBE57o9jX54cnlJC7nJxS+O+meSB0zqjSdVVmLLWVYFa5Mlq5EuULTziOrR0OpDKFHY4cw6PY1umASafBhuU2FBu1cpdEFzG3sgj3t9Zhe6cTmw8OYsOKelgV8P/1wWk/tGoJK2eXyV0KUV4aC0YRfNgbgDfMYDQZBqQckhUCJ90RnHRHUGbWYUm9FU21xdwoj0hm/kgCWw45Cr6tqX04hm0dTlgMGmxYUa+IEYl8V19qwoYV9djW7sDmtkE80GpTxIjf7hM+qCQJy2eVyl0KUd5gMLp8hb+yM08Fokm8e9yL/9rTiz/1uOEJcU4okRxGYkm8dMiBWLKw2/UPBMbCUbFRiwcZjvJKTbEBD62sBwTwwiE73Ao5X7xz3IvOwcJvs080FU55IvjtvgG83OliOLoMPAPmuFRGoNsRRLcjiFqrAcsaSrCg2qKI1q5EcguOpvBCmx2RRFruUqbVGX8UL3e5UGLSYsNyG0w6nhryTXmRHhtXNeClQ3a8dMiB+5fXKaKxxq7jHqgkCUvqrXKXQpSTxkaMuMboSvEsmEdcwThcwSHsPuFFi82KJfVWFBsKf745kRzC8RRebLMjHC/scNTni+KVwy6UmrTYsLweRh2n9OYrq1GLjSsb8OIhO7a2O7G+tQ51JYUdkoTARMt9hiSiP+vzRfFhr59d6a4Sp9jloVgyg/19Afyvvf3Y0eXEYECZm3gRTZdIIo0X2+wIjqbkLmVa9fuieKXLhXKzDg+uYDgqBEUGDR5cUQ+TTo2tHQ44Rwp/L5OzIanLzul2RAP+GJ4/MICt7Q6Go2vAEaQ8dm5Th4oiHZY1lGBRTbEiNg0kmi6RRBovHBzEcKyww9FgIIYdh10oK9LhgeU2NoMpIEUGDR5cWY8X2+zY2uHA+lYbbAoYSdp5zAMhgGUNJXKXQzTj7MMxfHDaD7vCN3idKvwkXSB8kSTePurBf+3txTvHPRiJJeUuiSjvKCUcOUdG8XKXEyVGLR5oZTgqREX6sZBk1muwrcMBh0JGknYe8+DQwLDcpRDNGFdwFC+22bH5oJ3haApxBKnAJFJZtA+MoGNwBI3lZrQ2lGB2uQmSxKYORJdyds1RoYcjdyiObR1OmHUaPLDcxml1BaxIPzbd7sVDdmzrcGD9MhtspYU9kgQA7x73Ip0RuH4O90miwuUJxfH+aT/6fFG5SylIDEgFSoixBXp9vihKTVosbShBc10x9Bp+GCL6qFA8hRcOFv6aI18kga3tDhi0KmxYYYOZrbwLXpFeg4fGQ9L2TiceWG5DjdUgd1nT7r1TPqQzWdw0r0LuUoimlDecwAe9fpz2ROQupaBxip0CDMdS43sq9WHnMTf8EbZ6JDprJJbEHw8MFnw4Go6O7eekUauwYUU9LOyAqRhmvQYbltfDoFVha4dDMXug7OsLYNdxD4QQcpdCdM38kQRe6XLht/vOMBzNAF4+VJBkOovOwSA6B4NoKDOhtcGKuRVFUHFPJVIoXySBLYccBb/PUSiewkvtDgDAhuU2WI0MR0pTZNBgw4p6vNBmx5Z2BzaurEepWSd3WdOuY2AEyXQWdyyu5rmO8tJwNIl9fX4cGwqDWX/mMCAp1GAghsFADBaDBkvrS9BiK+bmkKQo7lAcW9odGE1m5C5lWsWSaWxtdyCZyeKhFcr4UEyTsxq1eGC5DS+02fHSeEgqVkBY7nGGkEhncXdLDTRqTpyh/DASS2JfXwDHXGFkmYxmHN8pFC4cT+O9Uz78954+vN7tgivIDihU+AYDMbzQZi/4cJRMZ7Gtw4lQPI11S+tQadHLXRLJrMw81tY9lcnipfbCHz0967QngpfaHYinCvs1T/kvOJrCm0eG8Nz7Z9DjDDEcyYQBiQAA6azAUVcYf9g/iN/tG0C3I4hUJit3WURT7pQnMjaiki7s53c6m8WOw054Iwnc3VKjiO5ldHkqLXrc32pDLJnGlkMOxJLKCEmO4VFsbrMrJhRSfgmOpvCnHjeee78fRxiMZMeARBdwh+L4U48b/7WnD++e8GI4yj2VqDB02UfwSpcL6Wxhn3iyQuBPR9wYDIzi04urMbeySO6SKMfUWA1Yt6wOwXgKW9udSChkZMUXTuAP+wfYrIhyxrnBqNsRRKbAz0/5ggGJLiqeyuDQmWE890E/Xmyz46Q7jCxfuJSn3j/tw9tHPQV/VU4IgXdPeHHCE8HN8yrQVFssd0mUo+pLTbh3aS380QS2dToVM2sgHE/j+YODGAzE5C6FFCwYYzDKZVyVTx9LCGAgEMNAIIYivQbNdcVoqbeimG2CKQ9ksgJvHXWjxxmSu5QZsa8vgC57ECtnlWLl7FK5y6Ec11huxl0tNXj18BBePezCvUvroFZAt7dEKost7Q58enE1mup4EYFmznA0if39bL6Q6xiQ6IpEEmns6wtgf38AcyrMaK6zYm6Fme1TKSfFUxm80uXCgEKuFHfZR7CvL4DFtRZ8Yl653OVQnphfZcHtC7PYedyDt466cWdTNSSp8N/TM1mBN44MYSSWxJrryhXxM5N8/JEE9vcFcMIdYTDKAwxIdFWEAHq9UfR6o7AYNGiqLUazzcr9VShnBGMpbOt0wB9Rxhq6094Idh33Yk6FGZ9epIwPuDR1ltRbEUul8WFvACadGrfMr5S7pBmzry+AQCyJzzTXQMs24DTFPKE49vcHcMoT4T5GeYQBia5ZOP7nUaVZZSa02Ky4rrJIEdM0KDcNBmJ45bCr4Nt4nzUUjOP17iHUFBvw2ZYajujSVbm+sQyxZAaHBkZg0mkUNUXzpDuCkdgg7ltWxwt9NCXswzEc7B9Gny8qdyl0FRiQaMoIAZzxx3DGH4NRp8aiGgua66zce4VmVJd9BO8c9ypmwWtwNIXtnU6YdGrct6yWV8DpqkmShLULKhFPZrD3lA9GrVpR63O84x3u7l5Si4Yyk9zlUB4SQqDPF8XB/mE4RrivZD5jQKJpMZrMoH1gBO0DI6gq1qO5zopFNRYYtGq5S6MClckK7DrmwWFHUO5SZkw8lcG2DgeyQmB9az1MOr6l07WRJAl3NFdjNJ3BW8fcMGhVimoTH0tm8NIhB26eX6GoETS6NtmswHF3GAfPDMMXZgv5QsCzKU07TygBT8iD3Se8mFtpxuLaYswpZ2MHmjqheAqvdrngCsblLmXGpLNZ7OhyITSaxgPLbSgz6+QuiQqERqXCvUvq8OIhO17tHsIDy22wlShno+GsENh9wouhYByfbqqCXsMLezS5ZDqLw44g2geGEY5zA+JCwoBEMyaTFTjpjuCkOwKTTo0FNRY01Rajutggd2mUx874o3ite0gx642AsWkcbx31wDEyis80V8NWqpwPrzQzdBoV1rfWYXObHS93OvHQynpUFClruvQJdxjecBx3L61FlYXnKfqzSCKNjoERdDlGkEgpY/8wpWFAIlnEkhl0DIygY2AEZWYdFtVYsKimGFYTF8fS5clmBT7o9eNAf0BxnYE+7A3g+FAYa64rx6Ia5awRoZll0mnwQKsNf2wbxNYOBz63sgHFCmtgMBxL4fn9g7h1QSWWNZTIXQ7JzBOK49DACE64w4pZ56pUDEgku0A0ifdP+/H+aT/qSgxYUG3BwhoL11PQRQVHU3i92wXniHKm1J11xBnE/v4AmuuKsZprJGiaFRu1uL/Vhs1t9rGQtKpBcWtJ01mBncc8OBOI4Y7F1TDqlPXzK50QAqe9ERwaGIFjmI0XlIKfQCmnOEficI7EsfuEDw1lRiyotmBeVZHiTsh0cceGQth5zKPIaQ1n/FHsPObBrDITbltYxb2OaEZUFOlx39JabG134uVOJx5YboNGgd0ST3sicAfjuKOpGo0VZrnLoWkWT2VwxBlE52AQwdGU3OXQDGNAopyUFWKiZfjOYx7MLjdhXlURrqtkWFKqeCqDncc8OD4UlrsUWfgiCbx6eAilZh3uXlLDfcZoRtWXmnBnczVe6x7CG0fc+OySGqgUGNAjiTS2tDuwtN6KW+ZXQqdRXlAsdJ5wHF2DQRwbCiGV4TQ6pWJAopyXyQr0eqPo9UahVjEsKdEpTwQ7j7kRTSinEcO5Iok0tnU4odVIWL+sjl21SBYLqi2IJNLYc9KHPSd8uHVBhWJHMbvsQZzxx3BHUzX3TCoA6UwWJz0RdNlHFDl1my7EgER55dywpJI8aCgzToQls55P50ITTaTx7gmvYkeNgLE2sts7nEikM9i4sgEWg7IWyVNuWTGrFOF4Gh2DI7AYNFih4HVwwdEUXmizo8VmxS3zK3jBLg8NR5PocgRx1BVSVCdU+nj8REl566PT8GqtBsyrKsLciiKUck+YvCaEQLcjhL2nfIinlHvSymYFXut2wRdNYN3SOlRalNVmmXLTrfMrEE2kseeUD2a9BgtrLHKXJKtuRxC93ghuXVCJxbXsKpnrUpksTroj6HYG2XSBLooBiQqCEOc3eCgv0mFuRRHmVppRazUodhpIPhoKxvHOcY+iNn2djBAC75zwot8fw+2LqrgonHKGJEm4s6ka0WQaf+pxw6xXo75U2dPMYskMXu8eQrcjiLULq3gxIwcNBeM44gziuDusyCY/dGUYkKgg+SNJ+CMBHOgPwKRTY06FGXMrzWgoM3H9Ro6KJNJ475QPR10hxe1rNJlDAyM47Ahi5exSLLFZ5S6H6DwatQr3La3D5oN2vNzlwkYFbiQ7GfvwKH63bwAttmKsua6c21XILJJI45grhB5XCP5IUu5yKI/wlUsFL5bM4IgzhCPOENQqCbYSIxorzJhTYUYZp+LJLpHOoO3MMNoHRpBM86oeAJx0h7H3lA8LqorwievK5S6HaFIGrRrrl9fhjwcGsa3Dic+tqucaOYxN/+6yB3FsKIzVjWVYPqsEWgW2RZdLIp3BKU8Ex1xhDA7HeMGNrgoDEilKJiswEIhhIBDD7hNeWI1aNFaYMLvcjIZSE1u2zqBUJosuexAH+gNcHHsO58go3uhxo9ZqwB1N1ZweSjmt2KDF+lYbXmizY1uHExtX1kPPZgUAxhqsvHfKh87BEayeU4YlNivb80+TdCaLfn8Ux4ci6PNF2J6brhkDEilacDSFzsGxjeDUKgm1VgNml5sxu9yEKoueH06nQTKdxWHHCNrODCu2bffFDMeSeLnLCYteg/uW1SlyM07KP5UWPe5ZWottHQ7s6HJh/fI6aFR87p4VSaSx65gHB/sDWNVYhpa6Yr62p8BYKIrhlCeM094oZyDQlGJAIhqXyQrYh0dhHx7Fe6fGpo80lBkxq8yEhlITO+Ndo2gijc7BEXTag4ruTHcxo8kMtnU4IUHC+tY6GHkVnvLIrDIT7lhcjTd63PhTjxt3NdfwAtNHhONjQWl/nx+tDaVYWm9la/ArlEhncMYfwylPBH0+hiKaPgxIRBcRT2Vw0h3BSXcEAGAxaFBfakJDmRH1pSZYjZxrfzmGgnF0DI7gpDuMdJbTHiaTzmTxcpcTkUQaD66wocTEMH6ltGoJZWY9ysxaWI06WAwamPUaGLQq6NSqsRGN8c/rmaxAKpNFPJVBNJFBJJFGcDSF4VgS/kiSAf4qLaotRjiRxvun/bDo/bh5foXcJeWkaCKD9075cKA/gEU1FrQ2lKCcDS4uKhRPoc8bRZ8visFAjOcRmhEMSESXKRxP46grhKOuEACg2KiFrcQAW4kJtlIjGz6cI57K4NhQGN2OILzhhNzl5DQhBN7sccMVjOPulhrUWo1yl5QXLAYNGspMsJUYUWM1oNysm7IRi+BoCu5QHM6RUQwOj8IfSXCh92VaNXtsI9m2gWEUGTRobSiRu6SclUyPrcPssgdhKzWipc6K+dVFim/okMkKOEdGccYfQ58/Ch/PISQDWQOSJEl3Afg3AGoA/yWE+MlHvr8WwDYAfeM3vSSE+OGMFkl0EaHRFEKjKRx1hQEAJp0aNVbDxAe26mKDok50qUwWvd4ojrvD6PdFkeFVvsvy3mk/TnoiuGVeBeZXK3vDzUuRJExsBj2nomhaL0hYjVpYjVosGP//iCbS6PNF0euL4owvyivYlyBJEtYurEQ0kca7J7ww69WYX8Xn9cdxDI/CMTyKXcdVmF9VhEU1xWgoMypmmqIvksDgeAMl+/Aop86R7GQLSJIkqQFsAnAHADuAA5IkbRdC9HzkrnuEEPfOeIFEVyiWzKDXG0WvNwoAUEkSKiw61BSPhaXq4rGr3KoC6mJ07gfHAX+UnYOuUJd9rFnFUpsVy2fxSvtkysw6NNUVY2GNBcUytZA26zVosVnRYrNOtBA+6grDzhbCk1JJEu5qqcFLhxx444gbJp0GthKOjF6OZDo7sS2FWa/GdZVFmFtZhIZSY8E0dhBCwBtJwDkSh2N4FPbhGGLsZEo5Rs4RpOsBnBJC9AKAJEl/ALAewEcDElFeygoBTygBTygBIAhgbJ1EeZEelUV6VFrGfpWZdXmzUDeeysA5MtbIYiAQg49Tj65any+Kd4570VhuwicXVCrmSvHlUEkS5lUVYVmDFfWlJrnLOY9eo0ZznRXNdVYEYykcdgTR7QyyVf1HaNUqrFtWhz+2DeLlzrH231xnc2WiiczEFDydRoX60vGmQWWmKZ1SOt0iiTTcoTjcwThcwTiGQnGOEFHOkzMg2QAMnvO1HcANk9xvjSRJnQCcAL4hhDgy2cEkSXoUwKMAMGvWrCkulWhqpDICQ8E4hoLx8263GDQoL9Kh1PTnX1aTFha9RrYRp3gqA18kAW84AU84AXcojkA0yUA0BTzhOF7rdqHSosdnW2oLalTxWug0KrSMj6bJNVp0JawmLW6eX4Eb5pbhqCuEtjPDGIml5C4rZxh1atzfasMfDw5iKzeSvSbJdPa8GQpGnRq1VgNqrUbUFBtQadHDqJP3Qlsqk51odOKPJOGLJOAJx7mdA+UlOQPSZJ8IPvrR6xCA2UKIiCRJdwPYCmD+ZAcTQvwngP8EgFWrVvEjHOWVcDyNcDyNfsTOu12tkmAxaGAxaFGk10x05jLr1DBo1TCO/65Tqy57k1shBJKZLOKpLBKpDKLJDKKJsb8/FE+NdfOKJjnlYZqE4yls73BCr1Fj3bI6bk6MsWDU2lCCFbNKZf+QdzW0ahWW1pegpc6KE54w9vUGEIgm5S4rJ1iNWqxvrcOLbQ5uJDuFRj8ypRsAivQalJl1KDPrUGLSotioRfH4uWMqXlfJdBajyQwiyTTC8dTYOWM0hZFYCiOjKYTjKV5Ao4IhZ0CyA2g45+t6jI0STRBChM7586uSJP1SkqQKIYRvhmokklUmK8ZOPpdxVVqSxj6oqVUS1JI0MSohxs9YmaxAery9MU9i8kikx/Y6SmUENq6ywaxXdiNRtUrC0norrp9TBpMu//8tVCoJi2qKsbDagqOuMD7o9SM0yhGlKothYiPZl7tcuL+VmyBPh0gijUgijYFA7ILvqVUSjFo1DFoV9Bo1tBoJGtXY+WLsVCEBEMgKIJ0VyGSzSKUFEpmxC2nxVIZrTElR5DwjHQAwX5KkOQAcAD4P4Avn3kGSpBoAbiGEkCTpegAqAP4Zr5QoDwgBzuvOYZmswCtdLgzHkljfakOFwtdjzKsqwi3zKwpyzydJktBUV4wF1UXoGBzBvr6A4l+bs8pMuLOpBq8fGcIbPW58tqUGqjxZQ1MIMlkxHqDkroQoP8gWkIQQaUmSngDwBsbafD8jhDgiSdJj499/GsBDAL4qSVIawCiAzwvBa99ElF+EEHjrqBuDw6O4s6kas8pyq/HATCoz63DbwirMKi/8fwONWoVVjWVoqivG3pM+9LhCih69XVhjQTSZxp6TPuw+4WVzEiLKWbLOaRBCvArg1Y/c9vQ5f34KwFMzXRcR0VT6sDeAY0NhrJlbjsW1xXKXIwuNSsLqOWVY3VgGtcKaUph0GtzZXIMWmxVvH3XDF1Hu+qQVs0oRSaTRPjCCIr0GqxrL5C6JiOgC+T/pm4goh3U7gtjfH0BzXTFWN5bKXY4s6koMuKOpZlo3d80HdSVGfOGG2TjYH8C+voBiN1O+ZV4Fook03jvth1mvUexFAyLKXQxIRETTpN8Xxc7jHswuN+G2hVWKm06kUUlYc105Vs4uVdzPfjFqlYQb5pZjXlUR3jjihjsU//gHFRhJknBHUzVGkxm8ddQNo06NxnKz3GUREU1gGxkiomngCcXxarcLFUV63N1Sq7hpZRUWPR6+YRZWNZYxHE2ivEiPz69uwI1zyxXZrECjUuGepbUoN+vx6mGXIoMiEeUuBiQioikWGk1hW6cTBq0y9zpqbSjBw6sbFN+p7+OoxkfYPre6Hlaj8jZQ1WvUWN9aB6NWjW0dTozElLs2i4hyi7LO2kRE0yyeGtvrKJ0VWL+sDkUK2utIr1XhvmW1uG1RFfe5uQK1ViP+4sZZWFhjkbuUGWfWa3D/chsEBLZ2OBFLpuUuiYiIAYmIaKqks1ns6HJhZDSJe5fUolxBIyiVFj3+4vrZmFelvA/5U0GvUePuJbX41OIqaBQ2HbPUpMP6ZTZEE2ls63Aikc7IXRIRKdxFA5IkSf97/Pe/n7lyiIjyU1YIvHnEDcfIKO5oqkaDgvY6WlxbjP+xugFWk/KmiU21pfUl+NzqBhQrbMpdjdWAu5fUwhdJYEenC+mMsjfWJSJ5XWoEaaUkSbMBPCJJUqkkSWXn/pqpAomIcp0QAu+e8OKkJ4Kb51VgUY0y2harJAmfXFiJu1pqoOWUuilTXWzAF66fpbgNhedUmHFHUzXsI6N4rXsIWYW2QSci+V1qcvzTAF4HMBdAG4Bzx/zF+O1ERIq3vz+ALnsQK2aVYOVsZex1ZNCqcc+SWswqV9aH+Jli1KnxwHIb9pzy4dCZYbnLmTGLaoqRSGXxzgkv3jrqxh1N1eyCSEQz7qIBSQjx7wD+XZKkXwkhvjqDNRER5Y3D9iA+7A1gcY0FN8+rkLucGVFq0mJ9qw2lCt/4dbqpVBI+uaASFUU6vH3Uo5iNZZc1lCCRzuKDXj/0GjVuXVDBkEREM+pj2ysxHBERTe6UJ4Jdxz1oLDfhU4uVcaXbVmLEfcvqYNSp5S5FMZrrrLAatdjR5cJoUhkNDFY3liKeyqB9cAQGrQo3zC2XuyQiUhBOGiciugr24RhePzKE6uKxxeVK2Ah2QbUFG1bYGI5kUF9qwudXN6BUIY0wJEnCLfMrsLjWgg/7AugYHJG7JCJSEAYkIqIr5A0n8HKnC1aDFuta6xTRoGDF7FLcvaSG+xvJqMSkw+evnwVbiVHuUmaEJEn49KJqXFdpxrsnvDg2FJK7JCJSCJ7piIiuQHA0ha0dDug0Kty/vA5GbWGPpkgScOuCCnxyQaUiphDmOoNWjQ0rbJhfXSR3KTNCpZJwV3MN6kuNeLPHjVOeiNwlEZECMCAREV2mcDyFlw7Zkc0KPLDcBouhsKc7qSQJdzRVY+Vs7uyQSzRqFe5ZUovWhhK5S5kRGrUK9y2tQ02xAa91u9DrY0giounFgEREdBliyTS2tDsQT2Vx/3Ibygq8g5tGJeGepbVorrPKXQpNQpIk3LaoCmuuU0bzAp1GhfWtdai06PFq1xDO+KNyl0REBYwBiYjoY8RTGWxpdyAcT2PdsjpUFxvkLmlajX0YtWFelTKmceWzG+eW47ZFVVDC7Ee9Ro37W8cuTrzc5cJgICZ3SURUoBiQiIguIZnOYluHE8PRFO5dWgtbaWEvkB9bW2XjBrB5pLWhBJ9proFKASnJoB3bQLfEqMX2Ticcw6Nyl0REBYgBiYjoItKZLF7ucsIdjuOzS2owu9wsd0nTSq9V4cEV9YrpklZIFtcW456lymg3b9Spx9cAarCt0wFXkCGJiKYWAxIR0SQyWYFXDrtgHx7FnU3VuK6ysKebGbRqPLiiHjXWwp4+WMjmVRVh3bI6aNWFH5LMeg02rKiHSafB1nYn3KG43CURUQFhQCIi+ohMVuDVwy70+2O4fWEVFtUUy13StBoLR7aCX1ulBI0VZqxvtUGnKfzTe5FegwdX2GDQqrCl3cGQRERTpvDfQYmIrsDZcNTri2LtgkosqS/sLm4GrRoPrrShiuGoYDSUmbC+tU4RIcli0GLDinroNCq81O7AUJAhiYiuXeG/exIRXaaPhqNlBb7PzNiaIxuqLAxHhaa+1IT7lytjJMlq1OKhlfUwatXY0u6AY4Rrkojo2hT+OycR0WVQWjjSaVTYsLyeI0cFzFZiVExIKjZo8dCKepj1amzrcMA+zBbgRHT1Cv9dk4joYygxHD2w3MaGDAqgpJBUZNDgwRX1sBi02Nbh5GayRHTVCv8dk4joEtKZLF5RUDjSqCSsW1aHOrbyVgxbiVFR3e0eXGFDiUmLl7tc6PMxJBHRlWNAIiLFSqaz2NbpRJ8vitsWFn44Uqsk3LO0Fg1l3ARWaRrKTFi3zAaNAvZJMunGRpLKzTrs6HLi+FBY7pKIKM8wIBGRIsVTmYkFCoHaEgAAIABJREFU3Xc2VWNpfWGHI0kC7mqpwdwC38+JLm5WuQn3LqtTxGayBq0aG1bYUGs14vUjQ+gYHJG7JCLKIwxIRKQ40UQaLxyywxtO4O6WWiyuLex9jgDg04ursaDaIncZJLM5FWbcvaQGKqnwQ5Jeo8b9rXW4rtKMd0948cFpP4QQcpdFRHmAAYmIFCU0msLmNjuCsRTWtdbh/2/vzqPkKs9733/fvXfNU09VPWueBzQgBGYykxlkGzAYgp3YOcZneeUEEp/jODckvjm+PjlZ9r3rOLm+B+KEOCw7y05MiLENjmMcO8bgGDAgDBgwICTQrJ5bPdb43j+q1JpaqCW6e1d3/T5r9aquql2lR/1W7b2f/b7v8y7LzP8elUuWN7GufX6v5yRTtyyT4Oq1zdRAjoTnOmxb18ratiS/eLOPn7zaTUlJkoichud3ACIis6V/JMeDz+0jXyxNDL+Z77YsqmfLoga/w5Aqs7o1SaFo+dErh/wOZcY5juHKVRnCAZdn3+pnPF/k6rXNeI6uEYvI5JQgiUhN2D8wxsPP78cYw82bO0gnQn6HNOPWtae4ZHna7zCkSq3vSJEtFHn89R6/Q5lxxhguXtZENODy+I4eRnNF3ndOK+GA63doIlKFdPlEROa917uGePC5fYQDLrduqY3kaGkmzpWrMn6HIVVuy6IGti6unR7GzQvruWZtMwcHx7n/mT0MjOb8DklEqpASJBGZ1365Z4Dvv3iQdDzErVs6qYsG/Q5pxrXXR9i2rgWnBqqVyTt30bImzumonTlqq1qSfGBTO+P5Ivc/s4d9A2N+hyQiVUYJkojMSyVreez1bn76WjdL0zFu2txOJDj/h9M0xYNcv6ENz9XuXabuilUZVrbUTpXD9voIv7Glk3DA5dvb9/Hrg4f9DklEqoiOoCIy72QLRR5+fj/P7R5gQ0eKbetbCdRAwpAIe9y4qV3zKuSMGWO4Zm0Li5pqZxHhumiQ39jSSWsqzCMvHeLJnSoDLiJl8/+MQURqysBojn96Zi+7+0a5fGWay1ZmamLNl3DA5QOb2kmEA36HInOU6xjeu76N1lTY71BmTTjgcuOmdla3JnhqVx/f/9VBcoWS32GJiM+UIInIvLG3f5T7n97DaLbAjRvbOaejzu+QZoXnGN6/oZXG+PwvPiEzK+g53LCxncb4/J+rd4TrGN6zuplLljXxRtcw9z+zh34VbxCpaUqQRGTOs9ayfXc/335uH9Ggx2+c10lnQ20MFTIGrl3XQkd9bfx/ZeZFguVelUS4dlYCMcaweWE9N25qZzRX4Ju/2MPOnmG/wxIRnyhBEpE5LVso8v1fHeTx13tY3BTj1vM6aqJS3RGXrkizvLl2JtfL7EiGA3ygBuezLWiI8qHzFpCKBnj4+QM88UYvpZLmJcncZq3FWkuxZCmUSuSLJXKFEtlCkVyhRKFU0vy7E9TO5SERmXd6hrP8y4sHGBzLc/GyJjYvqMPUwHyjIzYvrGfzgnq/w5B5qjEe4oaNbTy4fS/5Yu2cPCUjAW49t4OfvNrNL97sY9/AGNeubSFeQz1qUl1yhRIj2QJj+SLj+WLltsRYvshYrlhOdIolCkVLvlgiX7ktFMsJ0VRzfGPAMQbXGBwHPMch6DoEPEPArfzuOgRcQ8hzCQccwgGXSNAlfMz9cMDFnePLTOjbLiJzjrWWlw8c5tFXuwl6Djdtaq+5IWbLm+NcurzJ7zBknmuri3Dd+la+9/wBSjV0hdlzHd6zppmO+gg/ebWLb/ziLa5e08Lippjfock8Y61lNFdkYDTP4FieoWye4fECQ9kCw9kCw+MFsqcoHOIaM5GUBD0HzzVEAgE811QSGQfPMTiOwaE8lNQYMMf8bi0UraVUspSspVQ6er9QsuSK5R6nfKHE4XyefNGSK5R7oIpvs08Ieg7RoEss6BELukRDldugy8cuWkzQq+5BbEqQRGROGc8X+fErXezoHqajLsK161qIhWprV9ZWF+batS011Vsm/lmajnPFqgw/euWQ36HMutWtSVqSYb7/qwM89Px+Ni2o48IljVpnTM5YvliibyRH70iOgdEcA6N5BsbyDIzmTuqhjQRcEmGPVDhAe12EeMgjHvKIBF0igfJPOOAScI1vxwFrLfmiZfyEXq2jvxcZzRUZyRXoGsoy2jtKrlji52/08vGLF/sS85morbMKEZnT9vSN8sOXDzGaK3DRskY2L6iviRLex6qPBrh+Q7tO0GRWre9IMZTN89TOPr9DmXX1sfJ6SY+/3sNzuwd4q3eUq9c005ysnXLoMnXWWgbH8vQM5+gdztIznKNnJMvAaH5iG2PK8/zqogHaUknqokHqogHqIgHiIW9O7N+NMQQ9Q9BzSEamtrxErlDi3SvSc+L/pwRJRKpevljiyZ29bN89QF00wK1bOmvy5ORIdbFIsLYmzkt1uHBpEyPZIr/aN+h3KLPOcx0uX5VhcTrGj145xD89s4etixrYsqhhzs+1kHdmeLzAwcPjHJr4yZIrHh0Sl4oEaIoHWdmcoCkeojEWJBkJ1OTnJug5tNVF/A5jSpQgiUhV29s/yo9e6WJwLM+69iSXLk8TmANXn6ab5xiu39BWUxX6pPpcuSrDaK7Azu4Rv0PxxaLGGL91/kIefbWbJ3f1sbNnhKtWN5NOaA2yWpArlDgwOMahw9mJhGgkVwTAMdAUD7GyJUEmESonQ/FgTR6v5gMlSPNMoViaqGwyPvFTLuWYLx4/2S53TKWTfLFE4ZgJeiV7/GQ9qFQ3oTy7z1CudIIpTxI8MiHQcyq3riHglCufhAMnVzcJew6RoEs06NXkVRQ5vWyhyH/s6OXFfYOkIgFu2tReM2sbnejIWkdz5cqbzF+OY9i2vpV/fnYvBwfH/Q7HF+GAy7XrWliajvGTV7v5x6d3s7mznvOXNOhkeJ4ZzRXYPzDOvoEx9g+M0T2c5UhdgrpogM6GKM3JMM3JEOl4aE4MHZOpUYI0B+SL5fKOo7ni0dtcgZFs+XY0Vy7zOJ4vUnibWo4GylVNTijXGA26BNzA0UonxuAYJn53K3M8LBZrwXKkpv7R6ieFYol86WhZyfF8kaFigVyhdNq4IgGXeMgjFjpyW56MmIwESEUCJEIejpKommGt5bVDw/xsRw/D2QKbOut419LGmj7xuHhZk9Y6kqoRcB1u2NjG/U/vOW5eRa1Z3pygsyHKz3b08Ozufl7vGuLylRkWqdLdnHV4PM++/nIytG9gjP7K59t1DC3JMOctbKCtLkxLMkyoxtYIqzVKkHyWL5YYHi9weDzPcLbA0Hjlp1LmcSRbPG4s6xHGcFz5xKZ4cKKqSfnHqfTalKudhALl3h2/qp0UiiWyhXLPVjZfYrxQnEj4RiqlLEeyRQ4dzjKWLx73WsdAIlxOlpIRj1QkQEM0SENlHG+tTdKfz3qGszz6ajf7BsZIJ0JsW99Ca6q2e03Wt6fYsqjB7zBEjhMNenxgUzv3P72H0Vzx9C+Yp8IBl6tWN7O6JcmPf32I7z6/nyVNMS5e3kS9hsNWvbF8kb19o+zpH2NP3ygDY+WEKOQ5tKbCrGlN0lYXIZMM4Tm1e5GuFilBmkGFYonBsTzdQ9mJpGdovFzT/sj98fzJyU8s6BIPezTGQixs8IiGKolQqDwkLRYqJz1zqcSv5zp4rjOlcszFkmUkW2BwLM/geJ7DY+W1AQbH8rzRdXwC5TqG+miAhljw6E80SF00qKF7c8hYrshTu3p5Yd8gIdfhipUZ1rYnaz75XdQU5YpVGb/DEJlUXTTIDRvb+edn99TUQrKTaa+P8OHzF/Dc7gGefrOPrz/5Fhs66ti6uIGwehqqRr5YYv/AGHv6xtjTP0rXUBaAgGvoqI9yTkeKjvooTfHgnDrHkumnBGkG/c7Xt5+0bkTQc0iEPRIhj5ZUmHjYIxnyiIc9EuFyecdaP7F3HUMyEiAZCdA5yfPZfJG+0Rx9I0d/Dg6O89qh4aPvYQyN8SDpRHlccLoyYbLaFyarNblCie27+3lu9wD5Yol17SnetbSRiE4oaEqE2La+VcNLpaq1pMJsW9/KwzW2kOxkPMfhvEUNrGlN8sTOXp7bM8ArBw+zdVED69tTmp/ig1LJcmhonD19Y+zuG+Xg4DhFa3EMtKYiXLCkgc768jyiWj/3kuMpQZpBt53XiecYQgGHRCUJCnk68XunQgGX1lTkpKFX+WKJ/krC1DOco3s4y87uEV7af3him7pIoJwsJUI0J0I0J8O6uueDQrHEi/sGefrNfsbyRZamY7xrSSONcVWCAoiHPG7Y2Kb9hcwJS2p4IdnJxEIeV61uZkNHHY+/3s1jr5fnKJ23qIG1bUkN1ZpB1lr6RnLsrgyb29c/NjFNIR0PsaEzRWdDlPa6SE3Pa5XTU4I0g65a08wb3cM1PT57NgVch0wyTOaY9XGstYxki3QPZ+keKv90DWV5vetob1NdJEBzKkxzIkRLKqxKNDMomy/ywr5BfrlngNFckc76CBcubaIlVXtrGp1K0HO4fmMbyfDUFt4TqQbrO1IMjed5alftLSR7KulEiJs2d7Cnb5Qnd/by6KvdPPNmP+ctqmdNa1LHmWlyeCzPnv7RiWFzR865UpEAK5rjLGiI0lEf1fpxckZ8TZCMMdcCXwJc4CvW2i+c8LypPL8NGAX+k7V2+6wHKnOWMYZ4uNx7t+/n3yE0OkIH0FoskVl3ET/++pfYMzbGjkKJkhOg7tKPMvDY3+NRIOS5LFy3hUTIY/8r28EYvECA997+Kf7lvr+gkC9P5pzssWUbtgKw4/lfnHKbmX6vanpdNluehzeSh+SlHyX7xDdIBC1dnsevNmzlV7MQZ+vilRzY9SoA7739U/zw6/dw9W/dwb/c9xcsWrOJ86+5mQfv+TOa2hcSisS46rZPMNTfy1OPfIt9O16mfdkazr/mZp5//AcM9nax57WXWLZhK+dfczP3/+X/SevilaQa01x8/W8y1N/Lg/f8Ge3L1gBw/jU389Qj3yI7NkooEiUcjTE+Wl5H5qrbPsHPHvoGS8/Zyr99/R6uuuR8ejIf5Pc+9zk++9nP8vDDD7N9+3Y++9nP8uijj3LHHXfQ1dXFnXfeyd13300mk+Gee+7hwIEDvPjii/zt3/4tAPfddx8AiUSCO+6443RfFZmH7rnnHm655ZbjPiPxeJy77rqLrq4u7rvvPrZv387dd9/NAw88wC233DLxubn99tsnHrvzzjvZvHkzt99+O5lMhi984QsMDw/T2toKcNxnb08ox99/7asA7NvxMjfd8ack6hsBJr4XN93xpzz/+A/YcMm1ABO/P//4DwDYcMm1k77myGM/+ua9vPnycxPf26ce+RY7nv8FnSvW0bPvzYnvNUDr4hUc2PWa//vHc87DGcvz4jNP8EaxiOcFufBDv8fuR/6OUqEw/f/ePD4GlUol8rgsvPbjPPetL5PPl+cRJRZtIBUJkN/9AktXbSDd0sKG1dfy1CP/yKFojIuv/01EpspYn8YMG2Nc4DXgPcBe4GngQ9bal4/ZZhvwe5QTpPOBL1lrzz/de2/ZssU+88wzMxL3mfqbn76hHqQq8LOHvsGDd/+P4x4zjoMtnVgkw1AuZP52JtnGGDjdd2mybab62Nm+l1739o8d81wwEiM3dnTxyys/9F944fF/pXvvmxOPxesaGR7oPe6tAuEI+fGxifvbbv8DHv/O1xjq65l4LJasZ+Rw/6Qhr7ngCl5+8t8xjostlfcVrutSLBYnbgE8z6NQKPD5z3+eL33pSxw8eJCWlhY++clP8sd//McT79fU1EQymWTnzp0Tj919991KkmrMPffcw5133smaNWv4yEc+ctxn5DOf+QwPPPAAr732GlBOooeGhshkMnR1dQGQTqfp7u6eeA5g5cqVfPCDH+TP//zPJ/03J/vsJRrSfPrL3wXgf/2X6xnq6yEUjZMdHSbdsRiwdO99k0RDmqG+bgCaFy7jd/+fvz/uNUfe56lHvsX37/vixPtP+t2q1v3OyS9kRo8lZ/u6aohhKq+bwvE6VtfISGWffdOd/11JUhW4eXMHCxqrZ01DY8yz1totJz3uY4L0LuD/stZeU7n/xwDW2s8fs83fAI9aa/+xcv9V4DJr7YG3e28lSHKiof5e7v6DDx93sivyto45IDuuR6lYOP1LHIdoPMnI4QEcL0CpcIo1Yo5572g8yfjoCKXS6fcTrutSV1dHb28voVCIbDZLY2Mj/f39lE5K9stWrlzJY489Riajani1pKuri8svv5yXX375pM+IMYYjx/5gMEgulzsuGT/iyGNHtjmRU5lLc6rPnusFKBbyxFPlMvXDg324gSDFfA7HcSc+80cuDqQ7FgGG7r27Jn1NPNVAqVRidGjgHf99pLakOxZz5xe/MdELKf6ZKwmSnwNg24E9x9zfW3nsTLcROa1EfSN3fvEfiCbq/A5F5orKCWQsWccffPk7p//sGIMtlRg5PEA81cAf/NW3T/0aa4km6ogl6xgdPkypVDxtSVljDMVikd7eXtLpNM8++yzpdJre3t5TnqA2NjYqOapRmUyGn/zkJ5N+Ro4kR42NjWzfvp10On1ScgRQLBZJp9Ns376dxsbjTyyNMZRKpbf97P3p3z1EPNXA8GAfw4N9xFMNfOqeByuJztF/z5aKxFMN3PnFf+DOL37jlK8ZHuxjdGiAaKKOaDw5HX8mqQGxZJ2SIzljfiZIk50NTNZ/erptyhsa8wljzDPGmGe6u7vfcXAiIiJy9q5a3Tz5UVxEpMppiN0M0xC76qAhdnLGZmmIXX19PYcPH570Cv6JNMROpqoahtgdeV28rgGshtiJfzTErnpoiN3pPQ0sN8YsNsYEgduAh07Y5iHgo6bsAmDwdMmRyGSef/wHJyVHZrK1KKaycvZk25zt6ya9vDrLMUxptfA5EudUX3fksWOeC0Zix21y5W2/UzlhYyI5itedfHANhI+ux2VLJd79wY+TaGg6LjmKJeuPf9ExF6YuueQSisUinne0qKjrusfdQrlIQ7FY5NOf/jQtLS1ks1laWlr49Kc/fdwJalNTE0uWLJm4/+qrr/LAAw+c/DeQee2BBx7g5ZdfZs2aNSd9Rv7kT/6EFStWAJDL5UgkEhSLxeOS6CPD7hKJxERytHLlSj7zmc9MbHPiELsTP3u5XI6WlhZ++PjT/B9/+z0SDU0U8zlC0TilUpF0x2LSHYuwpSKJhjTde9+ke+8umhcu4w/v/R5/eO/R1yQa0vzhvd/jsls+ftz/86TvFlTvfme6XjfT++NpPZ5NYZsZ/FvFKvvs7r27JqokikyFb2W+rbUFY8ydwCOUy3zfZ619yRjzO5Xn/xr4PuUKdjsol/n+mF/xytx2pHLNkdLKAGsvuNz38qbbbv8UD33li4yNjZEvWqzj0Xb17bz+vXsp5MsnJeEF54CF8T0v4BqDFwyy/H2fYPcP/g6KeYwxBIJBLrj1Tp554B5KxRxgWLB2C8YYdr/0NNaWJ0xvvfVOnrj/f5PP5ShZwPFYct1/5pWH7yWfy1K09qR/LxQOs/nm32XHv9yLZ4s4jjMnSsGe+NjZlPm+9MaPnFWZ7yPvdaoy35FojCV1Dg2xEHfddRf33HMPl112GZ/73OfYvHkz73//+/nc25T5vv32248r851IJFTmW45zpM2PlPk+8hk5Uub793//98+6zHc8Hj9lmW84+tk78t6ZTIZgoh775YfOuMz3p495TaK+katu+wTA3CvzPY2vu+5j/43v3Pu/GBkbJ1cokcMhcXF5iQpbzGGAhmWbCHsuh3c9j+sYgqEQ7/7w7/PE/f+bUiGPUzlubLv9U/zrfX9JoVA+3nhekKv/03/lB1/9S/LZHCUsbavOJV+07H35aYqV40bHNR/n9YfvJZ/PYgHjBo9bJiPgOLSv2UI06NL92nY818ELBGftb9W5Yh2pxjQbLrmWpx75FmGV+ZYz5NsQu5mkIXYyHxSKJQbH8gyO5xnJFhnOFhjJFiZux/MlsoUi+eLZf4dDnkM44JIIeSQiHolwgETYoyEapDEWJBTQwnoz4crVGc7pUMEQqS0/fa2b7W9NXu5e3pmxXJG+kVz5ZzRH/0iOofHy8SJXnHwI5NkKBxwS4QDJsEcyEiAZDpCMeKTCAeqiQVxHE8/k1ObKEDtfF4oVkVPzXIfGeIjGeOhttyuWLLlCOVnKFkqUrKVUonxrLcYYXMfgVm491xAOuIQ8B2dKwzlkOm1ZVK/kSGrSpcubGMkWePXgkN+hzDuRoEt7MEJ7feSk57KFIsPjRy+qlY8XJXLFEpZyVUNryyN/XcfgOQbXLd+GPJdIwCUSdAkHHMKei6MESGqAEiSROc51DJFg+QAm1W1Fc4KLlzX5HYaIL4wxXL2mmZFsgb39Y6d/gUyLkOcSiuv4IHIm/CzSICJSM9rqwlyztvm06x2JzGee6/D+DW00Jd6+Z1xExE9KkEREZlh9NMD1G9rxXO1yRcIBlxs3tpEIaxCLiFQnHa1FRGZQJOhy46Z2DYEUOUYiHOADm9oJqxCMiFQhJUgiIjMk4Bpu2NhGXTTodygiVacxHuKGjW0EXA07FZHqogRJRGQGGAPXrmulNXVyVSkRKWuri3Dd+lZV1BSRqqIESURkBly2MsOyTNzvMESq3tJ0nCtXZ/wOQ0RkghIkEZFptmVRPRs7tdaRyFSta09xkUrgi0iVUIIkIjKNVrdqrSORs7F1cQObFujCgoj4TwmSiMg0WdgY5T1rWrTWkchZeveKNKtbE36HISI1TgmSiMg0yCRDvPecVlxHyZHI2TLG8J41LSxuivkdiojUMCVIIiLvUCoS4MaN7YQ8reki8k65juG957TSXqcKkCLiDyVIIiLvQCzkctPmdmIhz+9QROaNgOtw/cY20omQ36GISA1SgiQicpaCnsONG9u1EKzIDAgHXD6wqZ36aMDvUESkxihBEhE5C55juH5DG5lk2O9QROatWMjjpnM7SITVQysis0cJkojIGXKM4br1LXQ2RP0ORWTeS4YD3Ly5g1hIc/xEZHYoQRIROQPGwJWrMyzLqBSxyGypjwX5wKYOwgElSSIy85QgiYicgUuWp1nXnvI7DJGak06E+MCmdoKeTl1EZGZpLyMiMkXnL2ng3IX1fochUrNaUmFuVJIkIjNMexgRkSnYtKCOC5c2+R2GSM1rr4tw/YY2PC3KLCIzRAmSiMhprG9PcdnKjN9hiEhFZ0OU9ytJEpEZogRJRORtrG5NcOVqJUci1WZRU4z3ntOKqyRJRKaZEiQRkVNY3hzn6jUtGKMTMJFqtCQdV5IkItNOCZKIyCSWZuJsW9eKoxMvkaq2VEmSiEwzJUgiIidYko7x3vVKjkTmiqXpOO87p1VzkkRkWihBEhE5xpJ0jPed06ar0SJzzJJ0nPepcIOITAMlSCIiFUqOROa2xU0xbtjYTsDVd1hEzp4SJBERYFkmruRIZB5Y0BjVYrIi8o5o7yEiNW9Fc4L3rtckb5H5oqM+ys2bOwgHXL9DEZE5SAmSiNS01a1JrlvXooIMIvNMSyrMB8/tIBZSkiQiZ0YJkojUrA2dKa5Z26zkSGSeSidC3Lqlk1Qk4HcoIjKHKEESkZq0dXEDV6xq1iKwIvNcXTTIred10pQI+R2KiMwRSpBEpKYYA5csb+KiZU1+hyIisyQe8rjl3A7a6yJ+hyIic4ASJBGpGY4xvGdNM1sWNfgdiojMsnDA5abN7SzLxP0ORUSqnBIkEakJAdfw/g2trG1L+R2KiPjEcx3ed04rGzvr/A5FRKqY53cAIiIzLRp0uWFjOy2psN+hiIjPjDFcvipDMuLx+Os9WOt3RCJSbZQgici8Vh8NcOOmduqiQb9DEZEqcu7CBlKRAD/41UHyRWVJInKUhtiJyLzVXh/htq0LlByJyKSWZRLcsqWTeEjXi0XkKCVIIjIvrW1LcvPmDsIBLRIpIqfWnAxz29ZOmpMagisiZUqQRGReMQYuXdHE1WtbcLUArIhMQSIc4NYtHaxqSfgdiohUAfUpi8i8EQo4bFvXyqKmmN+hiMgc47kO161vJZMM8bPXeympeoNIzVKCJCLzQlM8yPs3tGm+kYi8I+cubCCTCPP9Fw8wmiv6HY6I+EBD7ERkzlvVkuA3zlMxBhGZHp0NUT58/gLa6yJ+hyIiPlCCJCJzlucYrliV4br1rQQ97c5EZPokwgE+eG4HWxbVYzSdUaSmaIidiMxJ9dEA29a3klHlKRGZIY5juGR5mo76KD986aCG3InUCF1yFZE5Z01bkg+fv1DJkYjMisVNMX7rgoUsaor6HYqIzAL1IInInBEOuFy5OsOKZpXiFZHZFQt53Lixnef3DvKz17vJF1XlTmS+UoIkInPC4qYYV61p1or3IuIbYwwbO+tY2BDlhy8fZP/AuN8hicgM0JmGiFS1UMDh0uVp1rWn/A5FRASA+liQW7d0sn33AE+80aPeJJF5RgmSiFStZZk4l6/KqNdIRKqOMYZzF9azLB3nx78+xFu9o36HJCLTRGcdIlJ1kpEAl69MsyQd9zsUEZG3lYoGuGlzB78+eJjHXutmJKtKdyJznRIkEakanmM4d1E95y1qIOCqyKaIzB2rWpIsborx5M4+nt8zQLGkYXcic5USJBHxnTGwojnBRcuaSEUCfocjInJWQp7Lu1ekWd+e4vHXu9nZPeJ3SCJyFnxJkIwxDcD9wCLgTeBWa23/JNu9CQwBRaBgrd0ye1GKyGzobIhy8bImWlJa00hE5oeGWJAbNrazp2+U/9jRw4FBVbubK4wpLykR9hyCnkvQcwi4BtcxuMZgTHk7a6FkoVAqUShacsUS2XyR8UKJ8XwRqw7EOc2vHqS7gB9ba79gjLmrcv+PTrHt5dbantkLTURmQ1tdmHctaWJBoxZeFJH5qbMhym1bF7Cja5gnd/bSPZR38/1FAAARQElEQVT1O6SaFw95pKIBUpEAyXCARNgjHvKIhz1iQY9wwMEcyYLOUqlkGc0XGR4vMDSe5/B4noHRPH0jOfpHc5qnNgf4lSDdAFxW+f1rwKOcOkGSGhMJuhM7rGjQIxp0CQccQp5LwHXwXIPnGJwTruTYI1dySpZ8sUSuUCJbuZIzni8ymisykisymi0wpqs7vumoj3D+4kYlRiJSM5Zl4ixNx3ije5hf7Orn0GH1KM0kYyAVCdAUD9EYC9IQD9IQDVIXDRL0Zn5+q+OYctIV8iYdHTGaK9A9lKVrKMuhw+McHBxnaLww43HJ1PmVIDVbaw8AWGsPGGMyp9jOAj80xljgb6y1957qDY0xnwA+AbBgwYLpjlemmTFQHw2STlR2XrHyjisVCczKzqtQLDGcLTA0XmBwLM/hsTyDY3kGxvL0j+bI5kszHkMtcYxhWSbOuQvrNZRORGqSMYZlmQTLMgl2947y7O4+3uxRafB3ynMMTYkQmUSIdOWnMRaalXOJsxUNeixs9FjYGJt4bHAsz/6BMfb0jbK7b1QJk89mLEEyxvwIaJnkqc+cwdtcZK3dX0mg/s0Y82tr7WOTbVhJnu4F2LJli/oGqkwk6NJWF6G9LkxzMkwmEfZ15+W5DnWVq0mdkzw/ki1MdIX3juToG87RO5JVt/gZioVc1ralWN+RIhlW8QUREYAFjVEWNEbpHc7y/N4BXjkwRK6gC3On4xhDUyJIS7JyLpEM0RQL4TjvbEhcNUhFysP+VrcmAegbyfFm7wi7ukfYNzCmqoizbMYSJGvtVad6zhhzyBjTWuk9agW6TvEe+yu3XcaYbwNbgUkTJKkuAdfQUV8+ACxoiNIYC77jMb2zKRbyiIU8OhuOHwY2livSM5yt/OToGc7SO5zVKurHcIxhUVOUtW1JFjfFcefBgUtEZCY0xkNcsaqZi5Y18drBYV7aP6iCDseoiwbKyVAqTEsyTCYRwquRJSAaKqNrNi+oZzxfZFfPCK93DfNWzwgFJUszzq8hdg8Bvw18oXL73RM3MMbEAMdaO1T5/Wrgf8xqlHJG4iGPJekYS9JxOusj83InFgm6dDZEj0ucrLX0j+bpGc7SPVT+6RnO1lT3uGMMbXVhVjQnWN4cJxrUCgIiIlMV8lzWd5R72/tHcrxy8DCvHRyifzTvd2izJhp0aUmVR5i0pso9RJGg63dYVSEccFndmmR1a5JsociOrmF+fWCIPf2jmk89Q/w6i/kC8E/GmI8Du4FbAIwxbcBXrLXbgGbg25VeBw/4B2vtD3yKV04hGnRZ0ZxgRUuCtlR4TvUSTRdjzMSVnhXNiYnHj/Q2dVUSpt7hHL3D2Xlz5ScUcFjQEGVRY4wl6ZiSIhGRaVAfC3Lh0iYuXNpE91CWN7qH2dUzwqHD4/PmZDgccMkkQmSSoXLPUDKsNfCmKOSVh66vbUsxNJ7nlQNDvLR/kIEaSqZngy9nNNbaXuDKSR7fD2yr/L4T2DDLockUeI5haSbO6tYkCxui82Ls70yYrLepVLIMjuXpHSkP0esbKc9xGhjJVX3iFAo4tKbCtNdF6aiP0JIMq+1FRGbQkaIDFyxpZDRXYHffKHv6xtjbPzonToiNgWQ4QGO8XJSpXEhBydB0SYQDbF3cwHmL6tnTN8YL+wZ4o2uE0nzJpH2kS74yZU3xIOvaU6xuTRIOqNv7bDiOoT4WpD4WZNkxtRuttRweK9A/mmNgLM/AaG6iut7h8cKsTt41przTbYiVS6SWD2ph6qOBmuwhFBGpBtGgx6qWJKtaypP4R7IFDgyOc+jw+MTw7uGsP0O7PcdMrC3UEAtSHw3SGC+PrAh5Ol+YacaYicIfw9kCL+wd4MW9g4zmVFjqbClBkrflGMPy5jjndKToqNe6NTPFmMrBJTr5VbXxfJGh8QIj2QLDlXWcRnPFiTWecoUSuWJ5Ne98sUTJWo50SBnKSY9jzMQ6UiHPJeQ5RAIu0ZBLPOSRCAdIhj1SkcC8nD8mIjKfxEIeyzJxlmXiE4+N54v0j+boHykvXTE0nmckV2AkW2Sscsw4k9EKjjGEAg5hzyEa9IgEy8eLWGWNn2TEIxkJkAh5uoBWJeIhjwuXNrF1UQO/PjjEc7v76RnO+R3WnKMESSYVDrisb0+xoTNFQuWZfRcOuIQDLulEyO9QRESkSoUDLq2pCK2pyCm3KRRL5IuWfKlEsWixlEcxGGNwTHmkg+eUL6gFdLFszvJch3XtKda2JdnVM8Izb/Wzr3/M77DmDCVIcpxE2OPchfWsbUtV9SJrIiIicuY818FzIYKGvtUCYwxL0nGWpOPsGxjj6V197OoZ8TusqqcESQCojwY4b3EDq1uSmngvIiIiMs+010Vo39TOocPjPLmzl53dSpRORQlSjWuMB9m6uIGVzQmNHxYRERGZ55qTYW7YWE6UnnijVz1Kk1CCVKPqowHOX9LIqhYlRiIiIiK1pjkZ5sZN7ewfGOM/dvSwV3OUJihBqjGJsMcFSxpZ06qhdCIiIiK1rq0uwi1bOnmrd4Sf7eih63DW75B8pwSpRoQCDlsXNbCxs04lnEVERETkOAsbYyxoiPLaoWH+Y0cPg2PVvxjxTFGCNM+5jmFDZx3nL27Q4q4iIiIickrGGFa2JFiWifPLPQP8Ylcf4/naW3BWCdI8tqI5wcXLmk65+KiIiIiIyIlcx1SWfUny1K4+nt8zQPEMFhme65QgzUPNyTDvXpmmve7UC8WJiIiIiLydcMDl3SvSnNOe4vEdPbzRNex3SLNCCdI8Egu5XLi0ibVtSVWmExEREZFpUR8Lcv2GNnb3jvLT17roGc75HdKMUoI0DzjGsHFBHRcsaSDkaZ6RiIiIiEy/BY1RfvP8hby4b5Cfv9E7b+cnKUGa4zoboly+Mk1jPOR3KCIiIiIyzzmVAmArWxL8/I0eXtg7iJ1n05OUIM1R8ZDHpSvSrGxJ+B2KiIiIiNSYcMDlilXNrGtP8eivu9k3MH8WmlWCNMdoOJ2IiIiIVItMIsyt53Xy8v7D/GxHNyPZuT/sTgnSHNJWF+aKVc2kExpOJyIiIiLVY01bkqWZGE/u7OOXuwcozeFxd0qQ5oBwwOXiZU2sa1d1OhERERGpTiGvXBZ8bVuSf/91F/v65+awOyVIVW51a4JLV6SJBtVUIiIiIlL9muIhbt3SySsHDvP463Nv2J3OuqtUfTTAFauaWdAY9TsUEREREZEztro1yeKmGE/s7OWFPYN+hzNlSpCqjOsYtiysZ+viBjzX8TscEREREZGzFg64XL4yw9rWJIE5cm6rBKmKtNdFuHJ1RmsaiYiIiMi8kkmG/Q5hypQgVYFQwOHiZU2sb0+pCIOIiIiIiI+UIPlsRXOCy1amiYXUFCIiIiIiftNZuU8SYY8rVmVYko77HYqIiIiIiFQoQZplxsDGzjouXNpE0JsbE9VERERERGqFEqRZlE6EuGp1My2puTNJTURERESklihBmgUB1/CupY1s6qzHcVSEQURERESkWilBmmGLmmJcsKSRVCTgdygiIiIiInIaSpBm2DVrW/wOQUREREREpkhVAkRERERERCqUIImIiIiIiFQoQRIREREREalQgiQiIiIiIlKhBElERERERKRCCZKIiIiIiEiFEiQREREREZEKJUgiIiIiIiIVSpBEREREREQqlCCJiIiIiIhUKEESERERERGpUIIkIiIiIiJSoQRJRERERESkQgmSiIiIiIhIhbHW+h3DtDPGdANv+R1HRRPQ43cQchK1S/VRm1QftUl1UrtUH7VJdVK7VJ9qa5OF1tr0iQ/OywSpmhhjnrHWbvE7Djme2qX6qE2qj9qkOqldqo/apDqpXarPXGkTDbETERERERGpUIIkIiIiIiJSoQRp5t3rdwAyKbVL9VGbVB+1SXVSu1QftUl1UrtUnznRJpqDJCIiIiIiUqEeJBERERERkQolSNPMGNNgjPk3Y8zrldv6SbbpNMb8xBjzijHmJWPMJ/2Idb4zxlxrjHnVGLPDGHPXJM8bY8z/V3n+BWPMZj/irDVTaJffrLTHC8aYnxtjNvgRZy05XZscs915xpiiMeaDsxlfrZpKuxhjLjPG/LJyLPnpbMdYa6aw/0oZYx42xjxfaZOP+RFnLTHG3GeM6TLG/OoUz+tYP8um0CZVf5xXgjT97gJ+bK1dDvy4cv9EBeAPrLWrgQuAO4wxa2YxxnnPGOMC9wDXAWuAD03yN74OWF75+QTw5VkNsgZNsV12Ae+21p4D/BlzZLzyXDXFNjmy3f8NPDK7EdamqbSLMaYO+CvgemvtWuCWWQ+0hkzxu3IH8LK1dgNwGfBFY0xwVgOtPV8Frn2b53Wsn31f5e3bpOqP80qQpt8NwNcqv38NuPHEDay1B6y12yu/DwGvAO2zFmFt2ArssNbutNbmgG9Sbptj3QD8vS17EqgzxrTOdqA15rTtYq39ubW2v3L3SaBjlmOsNVP5rgD8HvAtoGs2g6thU2mXDwMPWmt3A1hr1TYzayptYoGEMcYAcaCP8kVRmSHW2sco/51PRcf6WXa6NpkLx3klSNOv2Vp7AMqJEJB5u42NMYuATcBTMx5ZbWkH9hxzfy8nJ6FT2Uam15n+zT8O/OuMRiSnbRNjTDvwAeCvZzGuWjeV78oKoN4Y86gx5lljzEdnLbraNJU2uRtYDewHXgQ+aa0tzU54cgo61le3qjzOe34HMBcZY34EtEzy1GfO8H3ilK/I/ldr7eHpiE0mmEkeO7Fk41S2kek15b+5MeZyyjvOi2c0IplKm/y/wB9Za4vlC+MyC6bSLh5wLnAlEAGeMMY8aa19baaDq1FTaZNrgF8CVwBLgX8zxjyuY7yvdKyvUtV8nFeCdBastVed6jljzCFjTKu19kClC3fSIQ/GmADl5Ogb1toHZyjUWrYX6DzmfgflK3pnuo1Mryn9zY0x5wBfAa6z1vbOUmy1aiptsgX4ZiU5agK2GWMK1trvzE6INWmq+7Aea+0IMGKMeQzYAChBmhlTaZOPAV+w5TVUdhhjdgGrgF/MTogyCR3rq1C1H+c1xG76PQT8duX33wa+e+IGlbHJfwe8Yq39i1mMrZY8DSw3xiyuTJC9jXLbHOsh4KOVCjcXAINHhkfKjDltuxhjFgAPAh/RlfBZcdo2sdYuttYustYuAv4Z+F0lRzNuKvuw7wKXGGM8Y0wUOJ/ynFaZGVNpk92Ue/QwxjQDK4GdsxqlnEjH+iozF47z6kGafl8A/skY83HKO8pbAIwxbcBXrLXbgIuAjwAvGmN+WXndn1hrv+9HwPORtbZgjLmTcsUtF7jPWvuSMeZ3Ks//NfB9YBuwAxilfOVPZtAU2+W/A43AX1V6LArW2i1+xTzfTbFNZJZNpV2sta8YY34AvACUKB9jJi2rK+/cFL8rfwZ81RjzIuWhXX9kre3xLegaYIz5R8oVA5uMMXuBzwIB0LHeL1Nok6o/zptyL7CIiIiIiIhoiJ2IiIiIiEiFEiQREREREZEKJUgiIiIiIiIVSpBEREREREQqlCCJiIiIiIhUKEESERERERGpUIIkIiIiIiJSoQRJRETmLWPMecaYF4wxYWNMzBjzkjFmnd9xiYhI9dJCsSIiMq8ZY/4nEAYiwF5r7ed9DklERKqYEiQREZnXjDFB4GlgHLjQWlv0OSQREaliGmInIiLzXQMQBxKUe5JEREROST1IIiIyrxljHgK+CSwGWq21d/ockoiIVDHP7wBERERmijHmo0DBWvsPxhgX+Lkx5gpr7b/7HZuIiFQn9SCJiIiIiIhUaA6SiIiIiIhIhRIkERERERGRCiVIIiIiIiIiFUqQREREREREKpQgiYiIiIiIVChBEhERERERqVCCJCIiIiIiUqEESUREREREpOL/B547CfXeObO1AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Xnew = np.linspace(-0.2, 1.2, num=500)[:,None]\n", "plt.figure(figsize=(14,6))\n", "plot_gp(m_full, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the GP struggles with the discontinuties and gives us an overly uncertain, and smooth fit.\n", "\n", "We will now try a simple 3-layer deep GP, $y = f_1(f_2(f_3(x)))$, with RBF kernels at each layer." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2e1ad52c802146a8a2b03d38ccaa00df", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(VBox(children=(IntProgress(value=0, max=10000), HTML(value=''))), Box(children=(HTML(value=''),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_hidden = 2\n", "\n", "m_deep = deepgp.DeepGP(\n", " [y.shape[1], *[1]*num_hidden, X.shape[1]],\n", " X = X,\n", " Y = y,\n", " init = [*['PCA']*num_hidden, 'PCA'],\n", " kernels = [*[GPy.kern.RBF(1, ARD=True)]*num_hidden, GPy.kern.RBF(1)],\n", " num_inducing = 50,\n", " back_constraint=False\n", ")\n", "optimise_dgp(m_deep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the fit now, and as we can see, the is close to the observations, with the greatest uncertainty occuring in the overlapping discontinuties. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA08AAAFzCAYAAADmGTLlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeXScZ3k3/u89q6TRaLTvsmU78SLvibM4IcEJpQkFQn6FFMJOWtLQpLT0hV8DXaCUQ+G8vO37e98YKKdNDS1La9YQAoQ0TmLHcWzZkW1JXiVrHWlmNJJmX5/n/v0h28i2ZEvyPMvMfD/n6CSaeZZb1ozmuZ7ruq9bSClBREREREREV2cxegBERERERET5gMETERERERHRAjB4IiIiIiIiWgAGT0RERERERAvA4ImIiIiIiGgBGDwREREREREtgM3oAeiptrZWtre3Gz0MIiIiIiIyqcOHD09IKevmeq6ogqf29nZ0dnYaPQwiIiIiIjIpIcTgfM+xbI+IiIiIiGgBGDwREREREREtAIMnIiIiIiKiBSiqOU9ERERERHrIZDIYGRlBMpk0eig0j5KSErS2tsJuty94HwZPREREREQ5NjIyArfbjfb2dgghjB4OXUZKiWAwiJGREaxYsWLB+7Fsj4iIiIgox5LJJGpqahg4mZQQAjU1NYvODDJ4IiIiIiLSAAMnc1vK74fBExERERFRAfL5fHj/+9+PlStX4uabb8b27dvxk5/8BADw0ksvwePxYOvWrVi3bh3+7u/+bs5jfOYzn8H69evxmc98Bt/85jfxne98BwCwa9cueL1e3X4Ws+CcJyIiIiKiAiOlxIMPPoiPfOQj+N73vgcAGBwcxDPPPHNxm7vuugvPPvssYrEYtmzZgne84x24+eabLznOP//zPyMQCMDpdF7y+K5du7BhwwY0Nzdr/8OYCIMnIiIiIqIC8+KLL8LhcOCxxx67+Njy5cvxp3/6p1ds63K5cPPNN6Ovr++S4OmBBx5ALBbDbbfdhs9+9rM4ceIEysvL0d7ejs7OTnzgAx9AaWkpXnvtNZSWlurycxmNwRMRERERkYb+7uc96PWGc3rMjuYKfP6d6+d9vqenBzfddNOCjhUMBnHgwAH8zd/8zSWPP/PMMygvL0dXVxcA4Atf+AIA4D3veQ+eeuopfO1rX8O2bduW9gPkKQZPREREREQF7vHHH8e+ffvgcDhw6NAhAMDevXuxdetWWCwWPPnkk1i/fv5gjGYweCIiymOprIL+QAyhRAYOmwXNnlI0ekqMHhYVCSklfOEUvKEEkmkFTrsVDRVOtFSWsssY0SxXyxBpZf369fjRj3508fudO3diYmLikkzRhTlPtHAMnoiI8pCiSnQOTOLQwCQyirzkuSZPCe5dW4/6CgZRpA0pJXq8YXQOTGIqnrnieXeJDdtX1aCjqYJBFJFB7r33Xnzuc5/DN77xDXziE58AAMTj8Zwd3+12IxKJ5Ox4+YKtyomI8kwyo+DHR0awvy94ReAEAGOhJH5waBhHh6cNGB0VulA8g//qHMZven1zBk4AEElm8XyPDz/r8iKZUXQeIREBM2sY/fSnP8XLL7+MFStW4NZbb8VHPvIRfPWrX83J8T/60Y/isccew5YtW5BIJHJyzHwgpLzyg7dQbdu2TXZ2dho9DCKiJUtnVfzw8Ah84YWtiH7nDbW4dUW1xqOiYjEUjOMXx8cWFRBVuxx4z82tcDlZ7ELF5cSJE1i3bp3Rw6BrmOv3JIQ4LKWcsxMGM09ERHlCSolfdo8tOHACgFfPTqB7NKThqKhYnPVH8LOu0UVnkiZjafzw8AgzUERUEBg8ERHlicODU+gPxBa933+f8GNkKnd17lR8+gNR/OLYOLLq0qpVJmNp/OLYGNQl7k9EZBYMnoiI8sBENIXX+oJL2leVEr/qHkcizTv/tHje6QSeOz4G9TrL/Icm49i/xNcwEZFZMHgiIjI5KSVe6PUt+a4/MDOB/4UTvhyOiopBKJHBz49652xMshSdg5PwThfPxHIiKjwMnoiITO7keARjoYXPc5rPWX8Up33F11aWliajqPj5US/iOcxYSgk83zOOrKLm7JhERHpi8EREZGIZRcWrZydydrw9J/2cuE8LsuekH4FIKufHnYpncGSIbfSJKD8xeCIiMrHjoyFEktmcHS+eVpY8d4qKR683jB5vWLPjHzwXRCQ59xpRRMVo586d8Pv9F7/3+/3YuXOngSNavB07dkDLJYGeeeYZfOUrX7nqNgMDA/je976n2RgABk9ERKaVUVR0Dkzm/LjHRkLwR66/DJAK03Q8jT2n/Nfe8DpkFIkD/bl/bRPlo507d+KJJ57APffcA7/fD7/fj3vuuQdPPPFE3gVQWnrggQfw5JNPXnUbBk9EREWsezSEWCr3JXaqlHjldO5KAalwqOpMZ8Z0Vvs5Sb3eMKZiac3PQ2R2Dz30EDo6OtDb24sNGzZgw4YN6O3tRUdHBx566KElHzcWi+Htb387Nm/ejA0bNuA///M/AQBf/OIXccstt2DDhg149NFHIc930tyxYwc+9alP4e6778a6detw6NAh/P7v/z5uvPFG/PVf/zWAmeBk7dq1+MhHPoJNmzbhPe95D+LxK5fCeP7557F9+3bcdNNNeOihhxCNRq/YZseOHfjzP/9z3HHHHdiwYQMOHjwIAJicnMSDDz6ITZs24fbbb8exY8cAALt27cITTzwBAPjoRz+KT37yk7jjjjuwcuVK/PCHPwQAPPnkk9i7dy+2bNmCf/qnf0JPTw9uvfVWbNmyBZs2bcKZM2eW/O95AYMnIiITklLiDQ3nhQxPxtEfuPLDjIrboYHJnDQnWQhVSrx+jiWkRPX19dizZw/q6uoQCAQQCARQV1eHPXv2oL6+fsnH/dWvfoXm5mYcPXoU3d3duP/++wEATzzxBA4dOoTu7m4kEgk8++yzF/dxOBx45ZVX8Nhjj+Fd73oXdu7cie7ubuzatQvB4Mz79dSpU3j00Udx7NgxVFRU4Otf//ol552YmMCXvvQlvPDCCzhy5Ai2bduGf/zHf5xzjLFYDPv378fXv/51PPLIIwCAz3/+89i6dSuOHTuGL3/5y/jwhz88575jY2PYt28fnn322YsZqa985Su466670NXVhU996lP45je/iT/7sz9DV1cXOjs70drauuR/zwsYPBERmVBfIIZQQts5IfvOTnDRUrooEEnh9XP6ltKdGo9q/jonKlYbN27ECy+8gL/8y7/E3r174fF4AAB79uzBbbfdho0bN+LFF19ET0/PxX0eeOCBi/uuX78eTU1NcDqdWLlyJYaHhwEAbW1tuPPOOwEAH/zgB7Fv375LznvgwAH09vbizjvvxJYtW/Dtb38bg4ODc47x4YcfBgDcfffdCIfDmJ6exr59+/ChD30IAHDvvfciGAwiFApdse+DDz4Ii8WCjo4O+HxzL8Wxfft2fPnLX8ZXv/pVDA4OorS0dMH/fvNh8EREZEJvDE1pfo5gNI3eMe2aAlD+UFWJ53vHoegcTKtS4ogOr3UiM7swx+lCxulCBurCHKilWr16NQ4fPoyNGzfis5/9LL74xS8imUziT/7kT/DDH/4Qx48fx8c//nEkk7/NNjudTgCAxWK5+P8Xvs9mZ5oXCSEuOc/l30sp8da3vhVdXV3o6upCb28v/vVf/3XOMc51LDnHgtyXbzd7rBfOOZf3v//9eOaZZ1BaWor77rsPL7744pzbLQaDJyIik5mMpTEypc9Cogf6g1xzh9A5OAV/OPdtyReiZzTE9vlU1Hbv3n1xjlN3dze6u7svzoHavXv3ko/r9XpRVlaGD37wg/j0pz+NI0eOXAyUamtrEY1GL84VWoyhoSG89tprAIDvf//7eNOb3nTJ87fffjteffVVnD17FgAQj8dx+vTpOY91YR7Wvn374PF44PF4cPfdd+O73/0uAOCll15CbW0tKioqFjQ2t9uNSOS36xn29/dj5cqV+OQnP4kHHnjg4vyp62G77iMQEVFOdY9eWZ6glUgyi6MjIdy8vEq3c5K5BKMpvN5v3NyjjCLRPRrCtvZqw8ZAZKTHH38cwEzjiAtznPbs2YPdu3dffG4pjh8/js985jOwWCyw2+34xje+gcrKSnz84x/Hxo0b0d7ejltuuWXRx123bh2+/e1v44//+I9x44034hOf+MQlz9fV1WHXrl14+OGHkUrN3JT50pe+hNWrV19xrKqqKtxxxx0Ih8N4+umnAQBf+MIX8LGPfQybNm1CWVkZvv3tby94bJs2bYLNZsPmzZvx0Y9+FMlkEv/xH/8Bu92OxsZG/O3f/u2if97LifnSXIVo27ZtUsv+80RE10tRJf5lbz/iaf3uxJc5rPjYnSvgsLEYodhIKfFfncPwThvbut5TasfH7myfszSHKF+dOHEC69atM3oYOTUwMIB3vOMd6O7uvu5j7dixA1/72tewbdu2HIxs6eb6PQkhDksp5xyYoZ+UQoinhRB+IcScvwEhxAeEEMfOf+0XQmye9dyAEOK4EKJLCMGIiIgKwrmJqK6BEzCzcG7XsHad/ci8jo6EDA+cACCUyODcRMzoYRARXZPRtxl3Abj/Ks+fA/BmKeUmAH8P4FuXPX+PlHLLfJEhEVG+6R2LXHsjDRwenEIqy3knxSSczODVs+ZZ7+u4juWqRLQ07e3tOck6ATPzmYzOOi2FocGTlPIVAPP2RZVS7pdSXmjDcwDA9TdnJyIyqWRGwYBBd9+TGUXTdaXIfF484ddlMdyFGpiII5bKGj0MIqKrMjrztBh/COCXs76XAJ4XQhwWQjxq0JiIiHLmtC+ie6vo2Y4MTbHrWZE4OR42XZmcKiVOjrN1PhWWYuotkI+W8vvJi+BJCHEPZoKnv5z18J1SypsAvA3A40KIu+fZ91EhRKcQojMQCOgwWiKipTk1bkzJ3gWpjIojg1xzp9Al0gpePmXOz8MeL4MnKhwlJSUIBoMMoExKSolgMIiSkpJF7Wf6VuVCiE0A/gXA26SUF3upSim95//rF0L8BMCtAF65fH8p5bdwfq7Utm3b+OolIlOKp7MYndZnbaereWN4GluXVaHUYTV6KKSRl0/7dW9KslDBaBr+SBL17sVdzBCZUWtrK0ZGRsCb9+ZVUlKC1tbFzQoydfAkhFgG4McAPiSlPD3rcRcAi5Qycv7/fxfAFw0aJhHRdTvrj8IMNyfTWRWHBiZx9+o6o4dCGugPRHHCoKYkC3VqPMLgiQqC3W7HihUrjB4G5ZjRrcq/D+A1AGuEECNCiD8UQjwmhHjs/CZ/C6AGwNcva0neAGCfEOIogIMAfiGl/JXuPwARUY6c8UWNHsJFx0amEeXE/YKTzCj47xN+o4dxTafGIyxzIiLTMjTzJKV8+BrP/xGAP5rj8X4Am6/cg4go/yTSCkamjC/ZuyCjSBw8F8S9axuMHgrl0CunA3kRFEeSWXhDSbRUlho9FCKiK+RFwwgiokJ2biIG1WR32rtHwwjFM0YPg3KkLxDNq2YMZ3zmLi0kouLF4ImIyGD9E+Yp2btAUSX295lnAVVaukRawYt5UK4321m/+d4TREQAgyciIkMpqsRgMG70MOZ0yheBP5w0ehh0nV444cuLcr3ZIsksxkN87RGR+TB4IiIy0MhUHOmsavQw5iQl8MoZZp/yWfdoKG+zOPk6biIqbAyeiIgM1D8RM3oIVzU8GUdfgBex+WgylsbLp/N3fRm+7ojIjBg8EREZaMDkwRMA7D0dgKKaq6EFXV1WUfHc8THTZjUXYjKWxlQsbfQwiIguweCJiMgg0/E0pvOgo91UPIMjQ1NGD4MWYc+pAAKRlNHDuG5mz8wSUfFh8EREZJABkzaKmMvBc5OIJM0f6NHMPKfu0ZDRw8iJfpbuEZHJMHgiIjJIPpTsXZDOqnjxZH61uy5GY6EE9hTQ78k7nUQyoxg9DCKiixg8EREZQFElRqbyJ/MEAP2BGBcvNbFwMoOfH/UiW0Dz01QpMTSZX+8TIipsDJ6IiAzgnU4go+TfRe6eU34k0swEmE0qq+BnXV7EUoX3u8mnDC0RFT4GT0REBhjO07vpsZSCF074jB4GzZJVVPz86BgmCqBBxFyYeSIiM2HwRERkgHy+IDzrjxZMQ4J8p6oSz3WP520wvhCRZBYT0cIMDIko/zB4IiLSWSqrwBfO74vBl075C6IVdj5TVYlfdo+jz1/4HekGgyzdIyJzYPBERKSzkakEVJl/851myygSzx7zshOaQRRV4tnjYzhdJA08BvOorT8RFTYGT0REOiuUEqvpeAa/ODYGtYC6u+WDVFbBT94YLYqM0wXe6QSyimr0MIiIGDwREeltZCph9BByZmgyjud7xyHzPJOWL0KJDP6rc6RgAvCFyigSY6Gk0cMgImLwRESkp2RGKbjJ7yfGInjpVMDoYRS8oWAc3z84VLBd9a6l2AJGIjInm9EDICIqJiNTCRRikqZreBqqlLh3bT2EEEYPp6CoqsSB/iAODkwW5GtnoYYm47jD6EEQUdFj8EREpKORqcK9e35sJIR4WsHbNjTCZmVhQy4EIin8ptcHX5gla75wCqmsAqfNavRQiKiI8dONiEhHo9OFM99pLmf9Ufxn5zBC8YzRQ8lrqayCV04H8L3Xhxg4nadKCe80/y2IyFgMnoiIdJLMKEWxNpI/nMJ3Dw6i1xs2eih5J6uoODI0hV2vDuDw4FTet7TPtULO3BJRfmDZHhGRTsZCyaKZs5LKqPh1zzhO+cLYsboeVS6H0UMytWRGQfdoCG8MTSOayho9HNMqpE6VRJSfGDwREenEW+Ale3MZmIjjO8FBbGipwLb2anhK7UYPyTSknGm/3eMN47QvgnSW6xhdi5/znojIYAyeiIh0UujzneajSoljIyF0j4axqt6FjS0eLKsuK8qufKoq4Q0l0BeI4aw/inCCc8MW48K8pxW1LqOHQkRFisETEZEOsooKX5Ev8qlKiTO+KM74oih32rCq3oUVteVoqSyFw1aYU3Azigp/JIWx6QRGpxMYmUoww3SdRqcSDJ6IyDAMngzSPRpCo6cEteVOo4dCRDrwRVLIqkUy4WkBoqksjg6HcHQ4BKtFoM7tRKOnBPVuJ2pcTlS7HHkVUCUzCkKJDKbjGUzF05iMpTERTWEqlmHThxwrxvJXIjIPBk8GmYqn8dIpP3asqceGFo/RwyEijY3xgm9eiioxHkpi/LLMnMtphbvEDneJDS6nDWV2K0odVpTYrXDaLHDYLHBYLbBZLbBZBGxWAasQsFrEokoCpZRQVImsKqFKiYwikVVUZFWJdFZFWlGRyqhIZRWksioSaQWJjIJ4WkEslUU0lWU2SUe+cBJZReVaYkRkCAZPBsooEr/p9WE8lMQ9a+thtRRf/T9RsfAWecneUsRSCmIpBeOhxe8rBGAVAkLgikBKSgkpAYmZUkImhvJLVpUYDyfRWlVm9FCIqAgxeDKB46MhTERTeOfmZric/JUQFSJmnvQlJZC9GBUxOio03mkGT0RkDOa8TWIslMT3Dw7BH+HdaaJCMx1PI55WjB4GUcHgvCciMgqDJxOJJLPY3TmCgYmY0UMhohzyTvOmCFEueUMJSNZbEpEBDK0RE0I8DeAdAPxSyg1zPC8A/H8Afg9AHMBHpZRHzj93//nnrAD+RUr5Fd0GrqF0VsXPurx4a0cDOporjB4OUcHbuXMnHnroIdTX1wMA/H4/nnjiCTz11FOor6/Hzp07sWPHDrz00kt4/PHH8ZWvfAWvvfYatm/fjkceeQQA8PTTTwMA3G43Hn/88UuOu3v3bjRsfjNe+MEuDPS+gbc/8hfoO3YQm++6H6//+kcoKZtpubz5rvtxdO+vLj6+0G0B4Mc7/x61Lcsxdu403vupLwEA/vOf/hpNK9bAU1OHNz3wAUSmgvjxzr9Hyw0dAIDb7ns3Xv/1j3D26EEAgM1ux9sf+Qv84ul/RDYzs/bQDZtvBYCrbpPL/cwwhnzZ73qP1XNgDwZ637jkNfLCD76Fgd430N6xFbfd924AuPhabO/Yit9536PY98x3EQr6L3mtzbXNqk23ou/YwXlfexdeo9lMBja7/YpjAcB7P/UlHN37K4SCfgACnpo6JOMxnD16EDa7Hfd8bxdqXE58/OMfRyqVwo4dO/Dkk0/C7/fj6aefnvP9OPt9vnv37ovPExEt2MzEWWO+ANwN4CYA3fM8/3sAfglAALgdwOvnH7cC6AOwEoADwFEAHdc638033yzN4pXTfvmPz5+a9+uffnNKHh6cNHqYRAXtqaeekgBkR0eH9Pl80ufzycbGRglANjY2yn/4h3+QAKTT6ZQA5AMPPCAxM4FGApCrVq2SK1euvOSxp5566uJxLxzLXVVz8XlhsUoA0lVZc8l+7upaCUCWVy5827rWFbK8svqS51wVVdJVUXnJY7/3yP+4uM/s7WZ/D0BCiCsfW8g2udzPDGPIl/2WeCxhsVzxWMft917yfU3TMlnT1HbVbVwVVfNuY7U7JDD3a6+madkVr9G5juUodV31Z6usrpE1NZe+N/7qr/5Krl69+uL3s9+Ps9/nHR0dF58nIrocgE45TzwhpMFpbyFEO4Bn5dyZp38G8JKU8vvnvz8FYAeAdgBfkFLed/7xzwKAlPIfrnaubdu2yc7OzhyOfun2ngmgc2DqmtttX1WD21fW6DAiouLj9/txzz33oLe3F3V1dQCAQCAAp9OJVCqFmpoaTE9PQ1EUWK1WVFRUYGpq/vftmjVr8MorrwDAxeNarVYoyvzznWqalsFitSIwcg4WixWqmpttLxAWC8rKKxALT8Nis0PNZq65DxUXYbGgtKwc8Wj4qtuVlVcgEYtCyvnbspeVVyAZj0FVFQiLFWXlbl1fe0KIi+V8c70fZ7/POzo6sGfPnovZKCKiC4QQh6WU2+Z6zuxznloADM/6fuT8Y/M9XnBe6wtif9+E0cMgKkj19fXYs2cP6urqEAgEEAgEUFdXh8OHD6Ourg7BYBCKokAIAUVRMDU1hZqaGlRVVV1xrJqaGrzyyiuor6+/5LhXC5xcFZX45P/+AZ74X99Fuaf6qsHQYra9SAhIVUUsPI1yTzX+x9d/gjJ35YL+bahInH+NxKNhlLkrUVZ+Zbl4WXkFXBWViEfD8wZOs7dR1Zn3jFSVJb32ysor5hzHQlwInOZ7P85+nzNwIqKlMHvwNNfCR/Iqj195ACEeFUJ0CiE6A4FATgenl9f7J/FaX9DoYRARERERFTWW7RlkoWV7s911Yy22tVdrNCKi4qNH2V4uS/FYtkdaYNkes09EdKl8Ltt7BsCHxYzbAYSklGMADgG4UQixQgjhAPC+89sWtL1nJnB8JGT0MIgKxu7du9Hb24uOjg50d3eju7sbjY2NSKVSaGxsxKc//WkoigKn0wlFUXDXXXddsv+qVauwcuXKi9+fOnUKu3fvvnjcxsZGqKqC8srfzlsUFisAwHX+seDYEAIj5+Curl30tnWtK1BeeekNFVdFFVwVvy2PkqqKN7/nD2f2mXXx6qq4svQQYq6k/gK2Wch+cxUMLPVYhb7fnMUVuRuDsFz60S9VFe0bLr1GqGlahpqmtksea9+w7ZLAyVVRNec2qqrAandAqsqcr72apmWXvEbnO5aj1HXVH81VUQXPZa//z33uc1i9ejWAK9+Ps9/nHR0d6O3txe7du696DiKiyxndqvz7mMkk1QohRgB8HoAdAKSU3wTwHGY67p3FTKvyj51/LiuEeALArzHTee9pKWWP7j+AAf77pA+lDituqC83eihEee9Cm+LZLYyPHj16Satyt9u9pFblAHD/Ox/E//s/v7Xo9uNatCq/7b5357xVuaqqiCsWuN/0IQw9/6+QShoOqxWt67ehssQO/+kjsFgsbFW+yP3u+eCf4bl/+19IJlJIqxJZWOC640OYeuU7kEoaTpsVrrJSvPORv8De7/9f07cqn+u1d+E1ej2tyt/7qS+htaoUP3vq85e0Kv/kJz95Raty4NL3+Z49e9iqnIiWxPCyPT3le9neBTaLwLtvbkVzZWmOR0VEuXTGF8Gzx8aMHkbOTcfTODI0jd6xMBRVorWqFKvr3VhV70KZw9B7cgUrnVXhCycxPBXHQDCOQCQFAKh3O7GmwY21Te6i/Ld32Cz4kx2rIBaU0SMiswrFM/CU2Y0exkVXK9srvr+0BSCrSjxz1Iv33dKGyjKH0cMhonmMh5NGDyGnMoqKQwOTODI4DQhgXaMbW5dVodrFv0Nac9gsaKsuQ1t1Ge5YBURTWZzxRXDKF8HesxPY3x/E2kY3trRVorbcafRwdZPOqgjG0kX1MxMVml5vGEOTcdy/odHooSwIg6c8lUgr+FmXF++9pQ0ldqvRwyGiOYyFCid4GgzG8N8n/Ygks1jb6MadN9Si3MmPEKOUO23YuqwKW5dVYTKWxhvDUzg5FkGPN4zV9eXYvqqmaG6ujYeSDJ6I8tQZXwS/6fVhTWP+TEcxe8MIuorJWBq/6h5HMZVeEuULVZUXS6vymZQSB/qD+GmXFw6rBe+5uRX3rW9k4GQi1S4H3rK2AY+8aQVuba9G/0QM/35gEC+fDiCVXcB6YHluvIBuUhAVk4GJGH7ZPQ41z65j+emX585NxLC/L4g7b6g1eihENEswlkY6O39L53yQzCj4Vc84BoNxrGty49419bBZec/NrErtVmxfVYNNrR4c6A+ia3gafYEo3rK2Hstrrt65Lp8VWnksUTEYCyXw7DEvFDW/AieAwVNBOHhuEg0VTtxQ7zZ6KER0ni/PL+gSaQU/eWMUk7E07l1bjw3NFYZPyrcIAZfTinKnDWVOG8rsVpTYrSixW+CwWWC3WmC3ClgtFtgsAkIAVouAgLjYsVtKQEJCSkCVEor626+MIpFRVGQUFemsimRWQTKjIplREE8riKWySGQUmP0mqctpw1vWNaCjuQK/6fXhp11ebGzx4O4bawsy+A1G08goKuwF+LMRFaKpWBo/6/Iio5j8j+k8GDwViOd7fagtdxZNjTuR2eVz8BRPZ/HjN0YxHc/gnZubdM9aCAFUlTnQUFGCOrcDNS4nqsoccJfYYLEYG8ApqkQ0mRrAkoYAACAASURBVEU4mUEokcFUPI3JWBqBSAqRZNbQsV2uyVOK99+6DK/1B3FkaBr+SBJv39gEd4l5Olrlgiol/JEUWtiBlsj0YqksfvLGKBLp/C0pZvBUIFIZFb84Pob3bmsryDuLRPnGF87P+U6JtIIfHRlFOJHBA5ubsay6TJfzltitWFnnwopaF1qrSk3bdttqEfCU2eEps6PtsueSGQXjoSS8oQRGpxIYCyUNL0mxWS2468Y6NHlK8XzvOH5waBhv39hUcEtdjIeSDJ6ITC6jqHjmqBehRObaG5uYOT+daEn84RT2np3APWvqjR4KUVHLKiomovkXPCmqxC+OjyGUyODBLc1ordI2cBICaK9xYUOLBytqXbAanFW6XiV2K9prXWivncnUpbMqhibj6AtE0ReIIpUxbg7cDfXlqCprw7PHxvDjN0bxjk1NaC+geVD5nOklKgZSSjzf4yuIBi8MngpM19A0lleXYWVd/rR8JCo0E9G04RmHxZJS4qVTfoxOJ3Df+gZNAychgDUNbty2sqag14hy2Cy4ob4cN9SXQ1El+gNRHB8NYTAYN2Q8NeVO/MG2NvykaxQ/P+rF2zY04Yb6wvisYPBEZG4H+idx2hcxehg5wfquAvTCCR/iaXPV3hMVk3y8kDs2EkK3N4xty6uwtrFCs/M0ekrw8K3L8LaNTQUdOF3OahG4scGN37+pFR/evhwdzRWwGNCAo9Rhxbu3tqChogTPdY8VzMXMdDyDZCZ/51AQFbKz/ghePxc0ehg5w+CpAMVSCl444Td6GERFK9+Cp/FQEi+fCWBFrQvbV9Vocg6LELhjVQ3eu60NDRUlmpwjX9SUO3Hf+kZ85I7lWN2gf5dUp92KB7e0oNlTil/3jGNo0phMWK7l2/uOqBgEoyn8usdn+i6li8HgqUD1+aM4MRY2ehhERcmXR4vjZhUVz/eOw+Ww4b6OBk2yIWUOK959cwtuW1ljeLc8M6ksc+Dtm5rwnptbUVWmbwc8h82Cd25uQpXLgV8cGyuIBZ0LYS4FUSFJZRU8e2ws79c8vByDpwL20qkAoimW7xHpKaOomIymjR7Ggr3aF8RUPIO3djTAabfm/PieUjved8syzZtP5LO26jJ84Pbl2LqsEnpW8jltVjy4uQUOmwU/7ZrpsJjP8ummBVEx+E2vD5Ox/Pk8XCgGTwUsmVGw5yTL94j0FIikoOZJfcLwZBxdw9PY3OrRpCV5ZZkdf3BLGzw6Z1Xykd1qwY419XhgczOcdv0+mstLbHhwSzMUVeLZ42PIKvl7h9jPsj0i03hjaApnfFGjh6EJBk8F7qw/ijMFMiGYKB/ky7yLjKLiNyd8qCyz484banN+/HKnDb9/UyvKnWzquhgr68rxvluW6VrGV1PuxO+ub0AgksJLpwO6nTfXIsksYqy2IDKcP5zE3jMTRg9DMwyeisBLpwJIZdmFiEgP/jwpHeocnEIkmcXvrG2APccLa9utAu/a0gxPKTNOS1HtcuAPbtG3scbK2nLc0l6FHm8YPd6QbufNtXy5eUFUqNJZFc8dH8u75ToWg8FTEYimsth/tnBaRBKZWT6UDoUSGRwenMLqhnK0VJXm/Pi/09GA+iLvqHe9yhw2vPvmFjRX6vfvePvKGrRVlWLPqUDeNpDwhfNz3ESFYs8pP6bi+T1/8loYPBWJoyPTeXFRR5TPMoqKyZj5PzT2nglAAHiTBuV665srNF0nqpg4bVY8eH5NJj1YhMD9GxrhtFnwfO84smr+zX/yR/g5R2SUM74Ier2F3+mZwVORkBJ48aQfMk8mshPlo3xoFjEYjKEvEMOtK6rhLsltWZ2n1I4da+pzesxiNxNANaNSpzlQZQ4b3rKuHhPRNA6em9TlnLnkZ+aJyBDRVLZo1hhl8FRExkJJ9BTBHQEio5h9voUqJfaemYCn1I6tbZU5P/5b1tXDYePHSq6VOWx4cEuLbl34VtaWo6OpAp0DU3m3dlI0xaYRREZ4odeHZKY45tfzU67I7O+bYPMIIo2YvVnEaV8EwVgad6yqgS3HTSLWNrqxvMaV02PSb1W5HPi9DU26rQN19+palJfY8Ove8bxrX272mxhEhaZ7NIRzEzGjh6EbBk9FJpZScOjclNHDICpIZg6eFFXiQP8kassduLG+PKfHtlsF7lpdl9Nj0pXaa124tb1al3M5bVa8dV0DpuMZHBrIr88MM78PiQpNOJnBy3m8xMFSMHgqQm8MTSGU5yvJE5lNRlExGTXvSuonxsIIJTLYvrIGIsfpi5uWVXE9J53cvrJGkw6Jc2mrLsPaRjc6BycxFTPva/tyzDwR6efFE36ks/mVnb5eDJ6KUFaV2H+2cBcvIzLCRNS8zSKyqorXz02iocKJFbW5La0rc1hxc3tVTo9J87NYBO7raNRtbtmbbqiFzWrBnlP503AoX9usE+WbXm+4qMr1LmDwVKRO+SJ5NxGYyMzM3OWrZzSMaCqLO1bV5j7rtLwKTps1p8ekq/OU2TVpMz8Xl9OGO1bVYHgqgdO+qC7nvF6RZBbxNJtGEGkpns7ilTPFVa53AYOnIiUlsI/ZJ6KcMWupkKJKdA5OobmyBG05LvcqsVuxqdWT02PSwmxq9ei2gO7GFg/q3U68ciaQN+U5Zr6ZQVQIXjk9gUS6OBuQMXgqYsOTcQwGiy/dSqQFs05SPzUeQTSVxS3t1TnPOm1u8zDrZBAhBO5d2wCLDu33LELgnjX1iKcVdA7mx9pPZn0/EhWC4ck4TowV79I3DJ6K3L6zE3lTx05kVllFxaQJJ9RLKdE5ONNhb3l1WU6PbbMIbNFgrShauDq3E5va9Mn8NXpKsLqhHEeGphFJmr/hkD9izkwwUb5TVIkXTxbHYrjzYfBU5PzhFPoC+VHHTmRWwVgaimq+mxD9EzFMxTPYtjz3WafVjW6UOdhhz2jbV9agxK5P9u/OVTPzrF7rC+pyvuvBsj0ibRwenDLlzUI9MXgivNYXZPaJ6DqY8UJNSolDA5PwlNpzvq4TAGxl1skUSuxW3LpCn7WfKkrt2NJWiRPjEfhNOsfvglAig2SmOOdjEGklnMzg4Dnz3zzRGoMnwkQ0nTddlIjMyIwlQqPTCfjCKdy0rBIWS26zTo2eEtRX6NOsgK5tc6sH7hJ9soC3tFeh1G7F3jwo+WbLcqLceuV0ABnF3O97PTB4IgDAwXPMPhEtlRknp78xNI1SuxUdTRU5P/aGZnbYMxOb1aJb9slpm8l0jUwlMDyV0OWcS2XGmxpE+Wp4Mo4zvNEOwODgSQhxvxDilBDirBDiyTme/4wQouv8V7cQQhFCVJ9/bkAIcfz8c536j76wMPtEtDSqKjFhsuAplMigfyKGjS0e2Ky5/TPvsFmwujH3ZYB0fdY3e1BRatflXBtaKlDutJm+5NuM5bRE+UhVJV46XZxrOs3FsOBJCGEFsBPA2wB0AHhYCNExexsp5f+UUm6RUm4B8FkAL0spZ/dJvef889t0G3gBOzgwaeoPQiIzCsbSyJqsWcTRkWlYxMz6PLl2Q30525ObkNUicPPyKl3OZbNYcNuKaoyHkzhn4uUuzJgRJspH3d6Q6W4SGsnIzNOtAM5KKfullGkAPwDwrqts/zCA7+sysiI1EUmhL2DeD0IiMzJbaVA6q6LHG8YN9eUo12AezNpGd86PSbmxobkCLqc+ge26pgp4Su040Gfem25T8XTeLOpLZFbJjJIXHTb1ZGTw1AJgeNb3I+cfu4IQogzA/QB+NOthCeB5IcRhIcSjmo2yyBw8lx8LIBKZhdnubp8cDyOdVbG5Nffd8FxOK9qqcrteFOWOzWrB1mX6ZJ+sFoHbVlQjEE3hrN+cJd9SAhNRc70/ifLNoYFJxNPsXDmbkcHTXO2f5rt99U4Ar15WsnenlPImzJT9PS6EuHvOkwjxqBCiUwjRGQiwXvNafOEkhoJxo4dBlDcCJppXIaXE0eEQ6t1ONHly3w3vxgZ3zjv3UW5tbPHAbtXnd7Sm0Y3qMgdeP2fe7JPZbm4Q5ZNQIoOuoWmjh2E6RgZPIwDaZn3fCsA7z7bvw2Ule1JK7/n/+gH8BDNlgFeQUn5LSrlNSrmtrq7uugddDA4NMPtEtBBSSgRMdGd7eCqByXgam9sqc74oLsCSvXxQYrdinQYdFudiEQK3rKhCMJZG/4Q5S77Nvh4VkZm91jdhujm9ZmBk8HQIwI1CiBVCCAdmAqRnLt9ICOEB8GYAP5v1mEsI4b7w/wB+F0C3LqMuAkOTcfj4gUN0TVPxjKnmVBwdnmlPvlqDRXHdJTY0cm2nvLB1WRU0iJ3ntLreDU+pHYdM2nCImSeipfFHkjg5HjF6GKZkWPAkpcwCeALArwGcAPBfUsoeIcRjQojHZm36/wB4Xko5+7ZWA4B9QoijAA4C+IWU8ld6jb0YdA5MGT0EItMzU7MILduTA8CqunJNslmUe9UuB1p1mptmOd/lzxdOYWjSfCXfk7E0FN45J1q0fWcmYML7Iaagz5Lk85BSPgfgucse++Zl3+8CsOuyx/oBbNZ4eEXtrD+KUDwDT5k+64YQ5SMzrSOjZXtyYKZFOeWPTa0eDOsUzKxrcuPguUl0DkxheY1Ll3MulKJKBKMp1DNrSrRgw5NxDHL++7wMXSSXzEuVEkeGmX0iuhqzlARlFRW93jBW1WnTnrzUYUVLZWnOj0vaWVVXrlvbcpvFgpuWVWJkOgHvdEKXcy6GWd6nRPni1bMTRg/B1Bg80bx6vWEkM2xPSTQfs5TtnfVHkcqqmmWd2mtc7LKXZ6wWgY4mbV4Pc9nQ4kGp3WrKhkMBBk9EC9YXiGIsZI7PNrNi8ETzSmdVdI+GjB4GkSlNx9NIZczRLOL4aAieUjtaq7TJDq2sM1cpFi3M+mZ9uu4BgN1qwZa2SgwE46YLVsxyk4PI7KSU2M8Fca+JwRNdVdfwNFROtiW6gllKgYLRFLyhJDa2eDRp6GARAsuquTBuPqpyOdBcqd9cn82tHjisFtNlnyaiaVN2AiQym9O+KCZM8tlmZgye6KoiySzOmHT1eCIjmaVZRLc3DIuYmbSvhabKEpTY9Zk7Q7m3vlm/0j2n3YpNrR6c8UcxHU/rdt5rSWdVTMUzRg+DyNSklDjQz6zTQjB4omvqYuMIoiuYoRQoq6g4MRbGDXXlKHNo0zx1ZS1L9vLZDfXlsOk4X21LWyWsQuCN4WndzrkQZni/EpnZyfEIJmPmuelhZgye6Jq800kumkt0GTOU7V1oFLFBo0YRAEzXepoWp8RuxQod56y5nDasbiw3XcMhs83DIjITVZV4nVmnBWPwRAvyxpC57iISGSmczCCRNv7CUOtGES6nFbXlDk2OTfpZ26hNSed8blpWhawqccxEDYfMUmZLZEanfBGWti4CgydakDO+iCkuFonMwG+CTKzWjSIAoK2qTLNjk37aa1xw2vX7uK8td2JZdRmODk8jq5qjI6UZMsVEZiSlxMFz5mryYnYMnmhBsqpEt9c8dxGJjGSGu9haN4oAgGU17LJXCGxWC1bVlet6zpuWVSKeVnDaZ46GQ8mMgnCSd9aJLnfaF+Vcp0Vi8EQLdpRty4kAGH8XW49GEQDYoryArG7Qt3RvWXUZalwOHBmaMk2bcDPc9CAyk5msE+c6LRaDJ1qwSDKLc8GY0cMgMpzRDVT6AjGksirWa9gootrlgLvErtnxSV/Lqst0Ld0TQmDrskoEo2kMTcZ1O+/VsOMe0aX6AlFMRJl1WiwGT7Qox0bYOIKKWySZQdzg+X+9Y2G4S2xo06hRBADNmlCQMawWoXvp3ppGN8ocVtM0HGLHPaJLvc65TkvC4IkWZTAYR4gdWaiIGV2yF05mMDQZR0dThabNHFqrWLJXaG6s1zd4slks2NxaicHJOIJR4wMXlu0R/da5iRjfE0vE4IkWRUrg2Kg57iISGcHokr0TY2EAQEdThabnYeap8CyrLoPDpu/H/sZWD6wWgS4TVC1EU1nEUlmjh0FkCoeYdVoyBk+0aL3eMBQ2jqAiZeSdOikler1htFWVoqJUu/lI1S4HXE7tGlGQMWxWi+5NQErtVqxpcOPkWMQUi+YanTkmMoPR6QRGpxNGDyNvMXiiRYunFZz1m6P9LJHejJx0PjKVQDiZRUczs060NHrPewKALW2VyKoSveezpkYywxptREZj1un6MHiiJWHjCCpG4WQGsZRxd897x8Jw2Cy4QeML4BYGTwVrZZ0LFp0XPq5zO9HsKZlZ7sLgtuXMPFGxC0RSODfBzsnXg8ETLcnIVAJTXFSNioyRJXup7EzGd02DGzartn+6mysZPBWqErsVzZUlup93c1slwsksBgy+aGPwRMXu8CCzTteLwRMt2fHRkNFDINKVkSU/p31RZFWpeaMId4kNFVzfqaCtrHPpfs5VdeUod9pwdMTYz41wImOKuVdERgglMjg1zmkX14vBEy3ZiTE2jqDi4jNwvlOvN4walwMNFU5Nz9PCrFPBW1Gr/7wnq0VgY4sHQ5NxTBpctcD2zFSsjgxNGV46WwgYPNGSxdMK+gK8g0HFw2fQRVcwmsJ4OImOZm3XdgJYslcMql0OVJbpn13c0FIBqxA4avCcWSNvghAZJZlR0Os1vmlLIWDwRNelm6V7VCRCiQwSaWPKfXrHwrAIYG2jW/NzMXgqDitq9S/dK3PYsLqhHCfGwkhljSudY+aJitHR4Wmks6rRwygIDJ7ougxNxhFKZIweBpHmjFocV1ElToxFsKLWhTKHtmsvOe0W1JY7ND0HmUN7jf7BEzDTOCKjSEPvgBu53ACREbKKiq5hdknOFQZPdF2kBHqYfaIiMB4y5oJrIBhDIqNo3igCABorSjQvCyRzaK0qhd2q/++6oaIEjRUlODoSgjRo7sV0nE0jqLicGIsgblDlRCFi8ETXrXcsbNiHIJFejMo89XrDKHNYdckUNHr0b2FNxrBZLYat57W5zYNQIoPBYNyQ8wMza90QFQMpJduT5xiDJ7pukWQWAwZ+CBJpTUppyPowsVQW54IxrGuqgMWifZag2cP5TsVkuUGlezfWu1HmsKLLwMYRRt0MIdJb/0QMU3FOr8glBk+UEz1elu5R4ZqMpQ2ZaHtyPAIpoUvJnhDMPBUbo+Y9XWhbPhiMYzpuTNtyozpnEunt8OCU0UMoOAyeKCf6AzHE01mjh0GkiXED7lJLOTOpvslTgmqX9k0cqsocKLFbNT8PmUe1ywF3ibZNSOazodkDIYDuUWMaRzDzRMVgPJTE6FTC6GEUHAZPlBMXOoIRFSIjmkX4wilMxtO6ZJ0AZp2K1bLqMkPOW15iw8paF3rGQsgq+md1Qwk2jaDCd2SIWSctMHiinOll6R4VKCMyTz3eEGwWgRsbynU5X2MFg6diZNS8JwDY1FqJZEbFWb8xi60z+0SFLJTI4IzPmPdWoWPwRDkzEU1jLMT0MBWWjKJiIqLvvIyMouK0L4ob68vhtOlTSsfMU3Fqqy6FUd3p26pKUVlqxzGDlrvgvCcqZF3D01DZCVkThgZPQoj7hRCnhBBnhRBPzvH8DiFESAjRdf7rbxe6Lxmjx6D6dSKt+CMp3T+AzvqjSCsqOpr1KdmzWQRqy526nIvMpcxhQ53bmN+9EAIbWz0YCyUNaR3OzBMVqlRWQTfX4NSMYcGTEMIKYCeAtwHoAPCwEKJjjk33Sim3nP/64iL3JZ2d8kWQMaB+nUgrRsx36h0Lw1NqR0ulPq3D6yucsOrQCp3Mqa3KmHlPwEwnSatF4Nio/m3LGTxRoeoeDRvSIbZYGJl5uhXAWSllv5QyDeAHAN6lw76koXRWZY0tFRS9L7BCiQxGphLoaKqA0KmeqoHznYpam0FNIwCgxG7F6oZynBqPIJXVt4FDJJlFLMUusVRYVFWia9i4NdSKgZHBUwuA4Vnfj5x/7HLbhRBHhRC/FEKsX+S+ZACu+USFxDut7zy+Xu9M6eu6Jrdu5+R8p+LWUllqaOZxU0slMorEyXH9O7Ya0QyGSEtnA1GEE1wUV0tGBk9z/aW+fGLBEQDLpZSbAfxfAD9dxL4zGwrxqBCiUwjRGQgEljxYWrjR6QRCXM2aCkA0lUUkqd+daVVK9I6Fsby6DO4Su27nbXAzeCpmDpvF0G6LDRVO1LudOD4SgtR5fqHPgLJcIi0d4aK4mjMyeBoB0Dbr+1YA3tkbSCnDUsro+f9/DoBdCFG7kH1nHeNbUsptUsptdXV1uRw/zUNKoGeM2SfKf+M6d48cnowjmsrq1igCAJx2CyrL9AvUyJxaq/WZXzcXIQQ2tngQjKXh1TmYYeaJCslYKIEx3hDQ3LzBkxDi38//9880OvchADcKIVYIIRwA3gfgmcvG0CjOF/0LIW49P97gQvYlY/V6w7rfQSTKNe+0vh9CvWNhlNgsWFmn39o79e4S3eZWkXkZ2TQCANY0uuGwWXB8RN8bb2xXToXkMLNOurha5ulmIcRyAI8IIaqEENWzv673xFLKLIAnAPwawAkA/yWl7BFCPCaEeOz8Zu8B0C2EOArg/wB4n5wx577XOybKnUgyi6HJuNHDILouenbaS2YU9AViWNPohs2iX1FAQwVblBPQ5CmBzcB5T3arBesa3TjrjyKe1q9UNplRMBXTdx03Ii2EEhn0+WNGD6Mo2K7y3DcB/ArASgCHcek8I3n+8etyvhTvucse++as/38KwFML3ZfMpccbNnT1eqLroahS1057p8YjUFSpa8kewE57NMNmtaDRU4KRKeMWOt/UWomjIyH0eMO4pf2679Eu2Hg4iSqXQ7fzEWmBi+LqZ97bm1LK/yOlXAfgaSnlSinlillf1x04UeHr80eRzOjbepYoV/yRJLKqfh9EvWNh1JU7Ua9z8wY2i6ALWg0u3at2OdBaWYru0ZCuF4FGrOVGlEtcFFdf16wNkVJ+Qo+BUOHJqhInxsJGD4NoSfRsUR6IpOCPpHTPOpU6rPCwWQSd11plXNOICza2ehBOZjEY1K/smxPsKd91j4a4KK6OjOy2R0Wgx8vgifLTqI7NInrHwrAKgTWN+q3tBAD1bs53ot8yet4TAKyqK0eZw4rjOt5Fn4imkFF44Un5SVUl3hjiorh6YvBEmgpEUvCzFSzloTGdMk9ZVcXJ8TBW1rlQarfqcs4L9C4RJHO7MO/JSFaLwPrmCpybiOm20KeiSvgj7LpH+elsIKrreoTE4Il0wOwT5ZvJWBrxtD7z9c4FYkhmVN1L9gCgnp326DItlcaX7m1o8UAA6Pbql33Se003olxhe3L9MXgizZ0YDyPLkgjKI3rOd+oZC6PcacOyav0n67NZBF2uxQTznipK7GivdaF7NAxFp6Yteq/pRpQLo9MJNjwxAIMn0lwqo+KMP2r0MIgWbFSn4CmSzGAoGMe6JjcsOi9U67Rb2CyCrtDkKdX9tTiXTS0eJDIK+gL6fHbwApTyEbNOxmDwRLpgC03KJ6M6rXVzYjwCCaCjyYCSPWadaA4Om8UU5ZzLa8pQUWLDsRF9PjuiqSxCcX3mWBHlwlQsjX6dbi7QpRg8kS5GpxOYjnMVdzK/cDKDkA4T1aWU6PWG0VJZisoy/RfoZKc9mo8Z5j0JIbCxxYPR6QSCUX2aOXg574nyyJGhKXBNXGMweCJdSAl0j7JxBJmfXlkn73QSoUQG6w1oFAGwWQTNzwzzngCgo7kCViF0a1uu51xHousRT2e5jqaBGDyRbnrHQlB1mvxLtFR6BU89YyE4rBbcUF+uy/kux7I9mk+zpxQmmPaEMocNN9SX48RYRJd1mLyc90R5omt4GhmF11NGYfBEuomlFPRPsD6XzG1kKq75OdJZFWd8UdzYUA67Vf8/ww6bBVVsFkHzKHVYUe3Sv5R0LhtbPUgrKk6NRzQ/VzCaQjKjzxIFREuVUVTd5gLS3Bg8ka70XDWeaLGiqSymdJg0ftofQVaVhpXs1ZY7IMyQWiDTMsO8JwBo9pSgxuXA8dEQpMYTPKQExph9IpPr8YaR0GkdQpobgyfS1WAwrstkfKKlGApqn3UCgF5vGFVldjRWGFM6x5I9upZmkwRPQghsbPXAH0nBF9a+cYQemWeipVJVyfbkJsDgiXQ10ziC2Scyp2EdLpwmY2mMhZLoaK4wLPtTx057dA1mCZ4AYG2jG3arwLHRac3PpdecR6KlOO2PIMwb0IZj8ES66/GGdFs1nmgxhie1D566vSFYBLCu0ZiSPYBtyunaPKV2uEtsRg8DAOC0WbGm0Y3Tvqjmc5J84RTSWe2bUxAtRecAs05mwOCJdBdL6bdqPNFCTcXSiCSzmp4jq6o4MRbGyrpyuJzGXJhaLQI15Qye6NrMlH3a1FIJRZXo1bg9syolxrjeE5lQfyCKQESfNc/o6hg8kSHYKYbMZkiHrFOfP4ZkRsUGgxpFAECVywGrhc0i6NqaPOaZG1fndqLJU6JL4wiW7pEZHRqYNHoIdB6DJzLE8GRct1XjiRZiIBjT/Bzd3hAqSmxYVl2m+bnmw5I9WiizdNy7YGOLB9PxDIY1Dm5GGDyRyQxPxuGdZidIs2DwRIZh9onMQlGl5hdMU/E0RqYSWN/sMbRNOJtF0ELVljvhsJnnMuHG+nKU2C04rvFnx3g4yXlPZCoHzzHrZCbm+atIRad3LIxUlmsVkPG80wnNL5Z6vGEIAXQYWLIHAHWc70QLZLEIw9rpz8VmtaCjqQJ9E1FEU9rNT1RUidFpZp/IHMZCCV3KymnhGDyRYdJZFb1ebSf/Ei3EoMbrOymqRK83jJW1LpQb1CjiAmaeaDHM1DQCmCndkxLo0XjJC16sklm83s+sk9kweCJDHR2e1nzyL9G1aD3fqT8QRSKjYH2zR9PzXIun1I4Su9XQMVB+aa40T+YJACrLHFhWXYZubxiqhkte6LFsAdG1jIeSODeh/XxcWhwGTwaIJDP4dfe45utV5IOpeAYDGt/1J7qalVLmHgAAIABJREFUcDKjefvXbm8Y5U4bltcY1ygCYNaJFq/RUwIDp+jNaVOrB9FUFuc0vOkxEU0hntZ26QKiaznQHzR6CDQHBk8GePl0AP/x+hD+dd85vHDCB3+kuDuovDHERd/IOOcC2t7VCyUyGJqMY0NzBSwGX4UyeKLFctqsplsXbEXNTPmrlk2HpNS+nJfoaph1Mi9zLB9eZN6xqRnT8TS+f3AYp8Yj6PGG0eQpwaYWD25oKIfNUlwx7WAwjoloCrUm+4Cm4qD1h9Px0RAEjG8UATB4oqVp9pRgwkSLc1osAhuaK3Dg3CSm42lUljk0Oc9gMIZ1Tca/b6k47e+bMHoINI/iuko3keU1LvzOugb80ZtW4O4ba5FIK/h1rw//9uoADg1MFl0XuiODzD6R/tJZVdO5DVlFRY83hJV1LrhL7JqdZ6EYPNFSNHnM1TQCANa3eCDEzM0JrQwG45yTS4YYnowz82liDJ4M5rRbsXVZFT68fTke3NKMunIn9vcF8fS+Aew7O4GYhu1YzeTkeETT1rNEcxmajCGr4aTz074okhkVm1srNTvHQpU6rKgwQQBH+cdsi+UCQLnThlW15egdCyOraLPMQDytwG+ijBsVD2adzI3Bk0kIIbC8xoUHt7bg4VvbsLymDEcGp/Bv+wfw3yd9CCUyRg9RU4oqOfeJdHfGF9Xs2FJKHB2ZRnWZA61Vxl98siyWlspTZofLab4ujZvbPEhmVJz0RTQ7xwDnnJDO+gJReKeLey682TF4MqF6dwl+b2MTPrR9OdY1unHCG8F3XhvAiyf9BZ2dOTYSYgdC0k1WUdGv4YWRL5yCP5LCpjYPhAnalbFkj65HowlL91oqS1Fb7kCXhkteaPk3guhyqiqx/yyzTmbH4MnEqsoceMu6Bnz0jnasb/agxxvCrv0D2HsmgES68IKMdFbF0eFpo4dBRWJwMo50VptyHwA4OjINh9WCdY3mmHBex8wTXYdmj7nWewJmKja2tFUiGE1jZCqhyTl84WRB37Qkc+nxhjERTRs9DENMxtLIaFSCm2sMnvJAeYkN966tx4e3t2N1fTneGJrGrv0DODw4hayaHy+0hXpjeFrTC1qiC876tSvZi6WyOOOLYl2TGw6bOf7MMvNE16PJhPOeAGBNgxuldiu6NLrxJqX2yxkQATM3kF/rL76sUySZwYsn/fibn/Xgx0dGjB7Oghj6qS6EuF8IcUoIcVYI8eQcz39ACHHs/Nd+IcTmWc8NCCGOCyG6hBCd+o7cGJ5SO353fSM+cNsyNFeWYN/ZCfzHgSGc8UcKpiNQIq3g+CizT6StjKJqGjz1eMNQpMQmEzSKAACbRaDapU07ZyoODW4nrBbjy08vZ7NasLHFg/6JGKbj2tyx75/Q7m8F0QWdA5OIpQqvqmg+F4KmXfsH0OMN4Y5VNbjzhlqjh7Ughq3zJISwAtgJ4K0ARgAcEkI8I6XsnbXZOQBvllJOCSHeBuBbAG6b9fw9UsqiC9Nryp1415YWDAZj2HtmAs8dH0dLZSl2rKkriEnhnQNT2NhSaZo79lR4zk3ENMtwqqrE8dEQllWXmSZgqS53mPLCl/KHzWpBQ4XTlBPZN7V60Dk4iaPDIbx5TV3Ojz8UjCOVVeC0ma9pBhWGUDyDw0WyZEskmcGhgSn0eGeWGehorsAty6tx28pqtFaVGTy6hTFykdxbAZyVUvYDgBDiBwDeBeBi8CSl3D9r+wMAWnUdocktr3GhraoMPd4w9vdP4HsHh7C1rRK3rajJ68AjnlZwdGQat7RXGz0UKlAnxsKaHbtvIopoKosdGlzELRXnO1EuNHpKTRk8uZw2rG5wo3csjNtXVec8yMmqEv0BLphL2nnlTEDTZTPMIJlR0Dkwha6RmQYvF4KmitL8W0LDyCvsFgDDs74fOf/YfP4QwC9nfS8BPC+EOCyEeFSD8eUFi0VgY6sHH97ejo6mChwZmsa/HxhEXyCa16V8nQNTRbdQMOkjkVY0XXywa3ga7hIbVtS6NDvHYnG+E+WCGZtGXLClrRJpRUWvV5sbI2c0LPOl4nZuIqZpGbnRsoqK/7+9O4+O47rvRP+9Vb3vGxroxk4SJMENXMBFomSLkmzJtLU6si2viZPjl4mV8eTZeZO8TPLmjPPOODPPycw8Kfb4eXTsJLYcOZJtyZYsS7Is0ZFEipS4iaRIigsAAsS+N3q/749ugCAJkg2yu6uq+/s5BwdAd3X3Baqrq373/u7vvn12NDdXv2sUy8MufOGmFtyxstaQgROg7cjTQjkkC17tCyF2IBc83TLv5u1Syl4hRBjAi0KIY1LK1xZ47JcAfAkAmpqabrzVOmU3q7izvRarIh78+r0B/PxgH5bWOLFjRRhOq5a7+frM9lAYJf+VjOPo+QlkStTDd348jt6xOD7QFoKig/Lksxg8UTHotWgEANR6bIh4bTjQM46ORl/Rj7+zQ9NM3aOiS2eyeOXYgNbNKAkpJd47P4nXTw1jMp5Gc9CB7UtDFXE+0nLkqQdA47zfGwD0XrqREGIdgO8CuE9KOTx7u5SyN/99AMBPkEsDvIyU8jtSyk4pZWdNjX7SaEol6rPj4c1N2L4siDPDMfzT7rM43m/MghLvdI2yRCwV3bvnxkv23Pu6RmExKVgd9ZbsNRZLCAZPVBwuqwlum3474zY0+jA+k8KpElTHm03dIyqm3adHMD6T0roZRdc3PoMfvdWNF470w25W8cCGety/vr5izkVaBk9vAWgTQrQKISwAPgXgmfkbCCGaADwN4HNSyuPzbncKIdyzPwP4MIDDZWu5zqmKQGdzAA9vboTXbsbzh8/juUPnEUsaKxBJZbhYHBVX3/hMydbQGIsl8f7AFNbVe3U159BjM7O3nIomquPRp6U1LnjtZuw7O1qSDsNSzpWk6jMwGcfeM5VVJGI6kcavjpzHk3t7MJ1M465VtfjU5kY0BYxRCKJQmnUhSSnTQohHALwAQAXwuJTyXSHEH+bv/zaAvwIQBPD3IjcEn5ZSdgKoBfCT/G0mAD+UUv5Sgz9D14IuKz6xqRH7ukax+9QIzr05g9tW1GB5rVvrphXsSN8E1jf6EPboN9eejONQT+lGnfZ3j0EIoKNRH+XJZ1VKTx/pQ8Rrw3vnJ7VuxoIURWBjkw+vvDeIc2MzRa/c1TUSw1QiDZcBU+FJXzJZiReP9CNrwKyghWSyEvu7x7Dn9AgyWYnOZj82twR01ZFYTJp+AkgpnwPw3CW3fXvez38A4A8WeNwpAB2X3k6XUxSBzS0BLAk58asj/Xj+8HmcGZ7GbcvDhnhTSwn85r1BfGJz47U3JrqKmWSmZBd9M6kM3u2dwMo6j+4urBg8UTHpeeQJAFZFPHjz1Aj2nh0tevAkJXCsbwKdrARLN2j36WEMTCS0bkZRdI/E8Mp7AxiNpdAacuLWthD8Dn0s01Eq+r96pqIIuqz4ZGcjtrQGcKxvEk/s6UL/hP5Kzi7k3NjM3HoARNfr0LnxkpWCPdg9hnRWYmOTvkadAAZPVFw1LivMqn6KoVzKpCpY3+TD2eEYBieLf3F6hKl7dIPOj8fx1mnjp+vNpDL41ZHzePqdc8hK4N6OKO7tiFZ84AQweKoqiiJw05IgHtxYj3RW4sm93Xi7qzS54cX22xNDiKdYupyuTzYrcbBnrCTPnUhn8E73GJaEnAjqcD2lMIMnKiJFEbpPo15X74VZFdh7dqTozz08lUTPaOmWOqDKlkhn8NyhPkOn60kpcbRvAv/4xlm8d34Snc1+fHZrk66W5yg1Bk9VqMHvwKfzb/RdJ4bwswO9mNZ5VbtYMoNXjw9q3QwyqKPnJzAZL817/ED3OBLpLLa06i+Vx25R4bYZcx0N0q+oV9+pezazirX1Xpzon8JYrPgFYko5d5Iq26+PDhi6ut5YLImf7D+HXx3ph89hxsNbmrB9WQgmtbrCier6a2mO3azio2sj2LGiBj2jM/jhni6cG53RullXdaR3AqeHWCqWFkdKWbKKRsl0Fu90jaI15EStDnvja3Q4EkbGF/Hp771+qY1NfiiKwJ4zxR99OjEwZbjqtaS9/d1jOKbTYivXkslKvHVmBP+0uwv94wnsWFGDhzY1IFSl5xgGT1VMCIF1DT58srMRZlXBU+/06D6N76Uj/Uzfo0U5MTCFkenSlCc/0DOGuE5HnQDOd6LSiHj1Hzw5rSasq/fiWN8kRos8+pTJShzo5ugTFa5nNIbXDJo9MzSVwJN7u/H6+8NoDTrxuZuasa7BB6GjheDLjcETocZtxcNbGrEkn8b3/OHzSKazWjdrQVOJNF480q91M8ggslmJN94fvvaG1yGZzuLtrlE0Bx2o0+GoEwCEPQyeqPgcFhN8Dv2ng25q9kNVBPacLv7o08GeMaQz+jxPkr6Mz6Twi4N9yJSoYFGpZPOjTU/s6cJkPI2Pro3go+siuqsoqwUGTwQAsJpyaXy3LAvh5MAUfvRWF4an9FlG8+TAFA50l2byP1WWI30TJRt12t89hngqi606HXUCmLZHpRPR+bwnID/61ODFe+cnMVrkz4FYMsPKe3RN8VQGP9t/DrGksTJmhqcSeHJfbrRpaY0Ln93WhGVhl9bN0g0GTzRHCIFNzX48uLEe8VQW/7y3G8f79Zmf++rxQfSN63uOFmkrlcnizVOlGXWaTqSx9+wIltY4dXsRaVYFAs7KLxlL2ogaYN4TcGH0aXcJRp/2nhk13GgClU8qk8Uz+3sxPFWaDrxSyEqJfWdH8cRb3RifSeEja+qwc20EDgtHm+Zj8ESXma3GF3JZ8fzh83j1+KDuThCZrMTPD/RhSudVAkk7b50eKVmFvd2nR5DOSmxfGirJ8xdDyGWt6px0Ki29dhpcymExoaPRh/f6J4u+7tP4TApHejn6RJdLZ7J49kAvzo0Zp5N3dDqJH+/twW9PDqEl6MBntzZjea1b62bpEoMnWpDLasLHNzZgfaMP+7vH8PTbPborZz6VSOOZ/b26nZ9F2hmLJbHvbGkq7I1MJ3G4dxxro174dTyyw2IRVEohlwUWkzEuITY3+2EzK3jtxGDRCyLtPj3MuU90kVQmi2cO9OLssDHWA8tKibe7RvGDPV0YjSVx9+o6fHRtBE7ObboiY3zykSZUReCDy2tw9+o6DEwm8MSeLvTqrBelfyKOXxzq1d3IGGlHSokXj/QjXaL3xOvvD8GkCN1W2JsVdhsjrYqMSQhhiKp7AGA1q9jaGkTP6AxODxd3uYvJeBrvcA4u5cVTGfzknXOGCZzGYkk8ta8Hu04MoSngwOe2NWNFnZtZC9fA4ImuaUWdG5/c3AiTquCpt3twoHtMV+XMzwzF8PzhPmQZQBGAgz3j6CnRmmXdIzG8PziNzuaA7nvlOPJEpWaU1D0AWFvvhc9hxm9PDBW9s23P6RHdZWZQ+U3EU/jx3m7dr5kJ5DoZ93eP4Qe7uzA0ncSHV9XinnUcbSoUgycqSMhlxcObG9EcdOI3xwfxqyP9SOkoVeFE/xR+cch4pUCpuIamEth1ojRraaQzWfz62AC8djM2NvlK8hrFogiBkEu/KYVUGYxSNALIZVLcuiyE0VgKh88Vd42mZDpbss8dMobukRie2N2FIQMUhxifSeGpt8/h1eODqPfb8bmtzWiPeDjatAgMnqhgVrOKe9ZFsG1JAMfOT+LJvblqLHpxcmAKP33nHBJpY5UEpeJIprN47lAfUpnSBNBvnRnF2EwKO1bUwKTq+6Mz4DTrvo1kfHVeG4x0vdUacqLBb8cbp4aLPlJ0tG8SZ4aKmxJI+ielxO5Tw3j6bf2XI5dS4kDPGH6w+ywGJxO4sz2M+zqicNk42rRYPLvSogghsLU1iPs6opiMp/HEni6cKXIO+Y3oGonhybe6MVbkFeVJ36SUeOHd8yUrCTsyncTesyNYUedGc9BZktcophrOd6IysJpUBA20lpgQAjtWhJHOSLxWgpGil472I57S9wU0Fc9sdbrX3x9GVkdTGRYyMZPC0++cw2/eG0TEa8dntzVhddTL0abrxOCJrktLyImHtzTBbTPhZ/t7sef0iG7mQQ1NJfHEnm6cHNDnGlVUfL89OYSTA1MleW4pJV4+1g+zquADbfotTT5f2GOcC1oytqhBikbMCjgt2Nzix/H+KZwu8kjRZDyNF4/0F/U5SX/S+TUE/+nNs7ovRS6lxKFz4/in3WfRPxHHHSvDuH99FG6bWeumGRqDJ7puXrsZn+hsxMo6N944NYxnD/bpJmUunsrg2QN9ePFIv27aRKWx5/QI9p4pTVlyANh3dhS9Y3Hc2hYyzEKBYRaLoDIxUtGIWZ0tAQSdFvz62EDRl7o4OTBVsmUSSFvZrMS7veP43utn8Mb7wyWr6FosE/EUfrq/F78+NoA6jw2f3dqMNfUcbSoGY1wJkG6ZVQUfXlWLOo8Nr50YxI/2dGPn2ohuKn0dPjeOs8PTuLWtBivquNhbpXnz1DDeeH+4ZM9/fjyON04Noy3swqqIp2SvU0xCsEw5lU+9z3jBk6oI3NEexpP5BUFvXxku6vPvOjEIv8OMJTWuoj4vaSOVyeJo3wT2nR3FWEw/87yvZHa06V9PDkNCYseKGqxl0FRUDJ7ohgkh0NHoQ43biucO9+Gf3+rGLW0hdDTo42CdjKfx3KE+vNM1iu3LQmgMOLRuEt2gbFbi1eOD2F/C9VUS6QyeP9wHp9WEO1aGdfFeLoTPbjbM4qVkfF6HGU6riumEsUb4I147NjT58E7XGBr9drTVFq9zTUrg+cPncf+GekMGl5QzMBnHkd4JHO2bNMxctsHJBH59bADnJ+Jo9NtxR3stvHam6BUbgycqmqjPjs9sacaLR/vx6vFBdI3E8KH2WtgtqtZNAwD0jcfxL/t6EPXZsKHJj2U1LiiKMS6I6YJYMo3nD51H10jpFiGUUuLlowOYTKTx0KYGWM36eA8XIuzhqBOVV9Rnx4n+0sw5LKXtS0PoHZvBS0cHEPbYinqRmUxn8dN3zuGBDfWIMoAyBCkl+icSODU4hZODUyUrQFQKqUwWu0+P4J2uUVhNKu5aVcvFbkuIwRMVld2SK2e+v3sM/3pyGD/YcxYfXlWHJh2N9vSOxdE71genVUV7xIMVtW5ecBrEqcEpvHS0v+S93G+eGsGJgSlsXxY03JwOzneicot4jRk8qYrAzjUR/HBPF5471IeHOhtgUoo3aptMZ/H02z34yNoIljKFT3fSmSyGppLoHZ9B79gMukdmDDPCNN+ZoWm88t4AJuJprIp4cEtbCHYDdfgZEYMnKjohBDY0+VHvt+OXh8/jJ++cw5po7oC2mvRzQE8nMth7ZhR7z4zCazejNeREU9CBBr9dV+2k3MTXXceHcLy/9BUUD58bx54zI1gd9WBTk7/kr1dstewIoDIzcmqax27Gh1bV4ucH+/DKsUHc2V7cFN1URuLZA73Y2hrEtiUBjgRoIJOVGJ9JYTSWxMh0EsNTSQxNJTAynURG50UfrmZkOoldJwZxZjgGv8OMj2+sR4NfPx3VlYzBE5VM2G3Dp7c04Y1Tw3inawxnhmO4sz2sy3VyxmdS2N89hv3dYxACCLmsqPPYEPZYEXJZEXBaYGNPTtlNJ9LYe3YUB7vHylLZ6MzQNH793gCagw7sWGGceU6zhIBuirVQ9ahxW2FWRckWqC61pTUubG0NYPfpETitKm5eWtwlCaTMFbfpHo3hw6tq4XNYivr81W4mmcFkIoXpRAZT8TQm4ylMxNOYiKcwMZPCVCINnaykUhTxVAa7T43g4LkxmBQFtywLoaPRW9RRU7o6Bk9UUiZVwa1tNVgWduHFI/346f5etEfcuGWZfss+S5mbdDk4mQDOXbjdaVXhc1jgtZvhtpngtprhspngtKpwWkywm1XOoSqSc2MzONQzjuP9k2XrGXx/cArPHz6PkMuKnWsiUA24L712M4N8KjtVEaj12NAzqu81b65ma2sA04k03jozCofFhPWNvqK/xrnRGfzjG2exqdmPTS1+Zjhcg5QS08kLAdFkIo2peBrTifRFP+u9ZHixJNNZHOgZw76zo0ims1hd78FNS4K6vZaqZPyPU1lEvHZ8eksTdp8ewdtdo3h/cBo3LQliXb3XMAHHdCKD6cQMzl3hAkEIwGZWYc9/2SwqbCYFNrOa/1JgNV3+3WpSDPM/KBUpJfrG4zg1OI0TA5NlLwd7tG8CLx7tR63bhvvWRw1brY4pe6SVep/d0MGTEAI7VoYxk8rg1eODMCkCa+q9RX+ddFZi9+kRHOgZx/pGHzoavVV78ZvNSkwm0piYSeVHiS6MFk3G05hKpA2dVlcsqUwWB3vGse/sKGZSGTQHHdi+NMQsAw1V5xFLmjCpCrYvC6E94sGrxwfx6vFBHOwZw81LQ1ha4zRcitSlpMylD8wkFzfhVAjAYroQUNlMF4Kti7+rc8HZ7HZGDbriqQwGJxM4PxFH79gMzo3NIJEq7mKVhZBSYu/ZUbz+/jAa/XZ8bJ1xAycAqPXwZEraqISKcooQuHt1HX5+qA8vHxvAVCKNra2lmacUT2Xw5qlhvHVmBK0hJ9ojbjQHnTCrxv38WchMMoPxmRTG8wHSeCw19zuDo6uLpzI4fG4c73SPIZbMoCngwLYlAcMVMapEDJ6o7AJOC+5fH8WpoWm8fnIYvzjUh1qPFVtbg2gJOgwfRC2WlEAilUUilcXEIjtuLSYlH0xdPKJlM+dGtGa/W/JfVpMKsypyv6tKSf7X2axEPJ1BLB9ITiVyPYjjsRTGZlIYnU5iKpEu+usuViyZxq+O9OPscAzLa134UHstTAa/cOHiuKSViM8GRQhkDT65xKQquGddFL8+NoDdp0cwlUhjx4pwydJ4M1mJkwNTODkwBbMqUO+3o8HvQNRnR9ht1XUwlc1KTCXT+bS6fGrdvLlGE/E0kunyd4oZ3ch0Evu7x3C0bwLprERjwI6dLUHU+xk06QWDJ9KEEAJLa1xoDTpx9PwEdp8ewTMHehF0WdDZ5EdbrduQc07KLZnOIpnOYnzm+tLczKqASVVgUgTMqgJVEbkvISBEridWUQCBC/tCQiKbBTJSIpuVSGcl0pksUhmJZCZriJPl6aFpvHysH/FUtmJWX2exCNKS1aQi5LZgYCKhdVNumKoI3Nkehstqwp4zIxiYTOCuVbUIukp7fKUyEmeGYjgzlFvDThECPocZAacFfocFHrsJbltuUWJHfp5tMc+T2WzuMzyRyiKeziCeymAmlZnLqIglM5hOpvMp7GnEkhnDB8t6kUxn8f7gFI6en0D3yAxURWBFrRsbmnwIlfh9R4vH4Ik0pSgCq6NerKzz4Hj/JPaeHcULR/rx2okhrIp6sCbqYWWiEkplJFIZ461rcb1GY0m8dvxCadf7OuorJuDwsVgEaSzqs1dE8ATkOvhuWhpE2GPFy0cH8MRb3di+NIiOBl/Z0qWzUmJkOlde+0pyGQUKzKoCkypgVnJzaJV855cQuewGCQkpgazEXKdXJpvr9Epnc51eRq2WaFSZrETPaAzvnZ/EycEppDISHpsJ21oDWNtQvXPhjIB7hnRBVQTaIx6srHPj7HAMh3vH8XbXKPadHUWdx4a2Whfawi64bcVbAZ6qx/BUAm93jeHY+QmYFAW3Lguho9FXUaObdV6m7JG26n127O8a07oZRbW0xoU6jw0vHc116h06N66rebqz2QdkDNOJNM4MT+P00DS6R2aQzGRhURUsr3Wjvc6DqM+mi/cVXR2DJ9IVIQRaQk60hJyYSqRxrG8CxwemsOvEEHadGELAaUFTwIHGgB0NPoehJ/dTaSXTWZwamsKxvkmcHYnNVc/a0hKA01p5H31hVtojjRl5sdyrcVpNuLfj4nm6YbcV6xq8WF7r1vW8JNKOlBJjMyn0js2gbzxXHGk0X0nWZTVhea0LrSEnmgIOw8+3rTaVdwVBFcNlNaGzJYDOlgBGY0mcGpxG10gMh86NY3/3GBSRKz4RdtsQdlsR9lgRdFoZUFWp2RNV90gMXSMxnB2OIZ2VcFlNuGlJEGsbvLBXcFpbHYMn0pjTaoLPYS77UgPlcOk83be7xvDS0QG8dmIIbWEXloScaAw4GEhVodmS6+P5gkhDUwkMTycxPJVEMpMbFbSZFER8dqyKeNAcdCLksnCEycA0DZ6EEHcD+O8AVADflVJ+45L7Rf7+nQBiAH5XSvl2IY+lyuJ3WLCp2YJNzX6kM1n0jcfRPRrDwEQCp4emcaRvYm5bh0WF126Gz2GGx2aG02qC06LCMfvdYrooXeu3z/wA8dg0AGDrXR/H7heewskDewAAyzq2AMDc7yazGR/94v+OXzz+t0inUle8rdyP00Mbyvk4mc0iuqoT8WQGZ959C8l0Bimpwn3r5zH22j9AyaZgt5jgcdrxkf/tT/Hc43+Bt6/wess6tmDrXR/HP//df0A6lYLJbMYn/+SvAQD//Hf/AZHWFRg6dwb1y1Zh9bYdeP/gHnTcejd2v/AUbA4nAMy9fwBg9bYd+MXjf4tI6wr0nX4PLas2YOtdH8eBXb9Ex6134+nHvo4Hv/yXOLDrl4jHppGYmYbV7px775058g5aVm3AnZ/6EgDgpR99Z+62rXd9/LJ2Pfjlv4QiBP7lH3+FT33yE3jkkUfw6KOPIhwO47HHHkNfXx9cLhfcbjduu+02PPvss3C73XjooYfw4x//GF/+8pdB1eexxx6bew889NBDePzxxwEAX/ziF+due+SRR7Bx48a52xZ6/wDA5OTk3DaWhjV46Zlnce7kEYTqm9F3+vjc8bT7hacAYO646bj1brj9wdxzjA7j6ce+jvplq7D1ro/D7Q9icnT4ouNsoe0f/PJfzt02e6x88k/+Ggd2/RLjwwPoPv7uFY/x+Z/1i/28mj6wG0hnMJpScGj7Z/DKK98HMklYTSrsNjt2fPbfYu9Tfw9kUgCEIT5XtXg30P/qAAAgAElEQVRcudsw+16Y/1685d7PYD4p5UUFkJLpLGZSGcSSuSIZua80YokMJvKL986vm2E1KQi5rFgZcaPGZUXUZ4ffYWawVEGE1KhSihBCBXAcwIcA9AB4C8DDUsoj87bZCeCPkQuetgL471LKrYU8diGdnZ1y7969pfhzFm3XiUHsPTOqdTMqgpS5Xp/ByQRGppMYn0lhLJbC2EwS04mFiyGYVQGrScX43p+j57lHL9zu9CI1PX6NVxQALjluZmflXvVhC2xTzMfpoQ3FetxC/+MFbyvgcQW8ntlmRyp+oU680+MHIDE9cfH8DdVkRiadgtMXxPTY8MItUBTI7MVzEGa3tzpcSMSm5r7P5/D4EZu48Jmw84tfBQA89/g3524LRpoQn564qF0uXxAujwfnu07D7XZjcnISdXV1+MpXvoI///M/v+g1LBYLksnc5PO6ujqcP38ejz76KAOoKvPYY4/hkUcemXsPhMNhDAwMAABqamowODg4914CMHf/Qu+fWbPbmM0WpFIXFzhwevywOV0Y7uu+6Pba5mX4o//yDwCA/+ff3IvJkaFcGxpa8bt/9f/ie//pEQz2nLnq9u5ADb72rZ9h9wtPzR0rFrsTyZnpi17r0mPcYrMjGb9kbYhifs4V8nlllM9jPZy7inhOUB0eZGIXOlwbP/YIQpvvRSp7IVi62rNaVAV2iwqHRYXHZobHboLHbobXZobfYYHTqjJQug7tETfuXhPRuhlzhBD7pJSdC96nYfB0E4D/KKW8K//7nwOAlPI/z9vmfwL4jZTyifzv7wG4DUDLtR67EAZP1SeTlYgl05hOZhDLl1adTqSRSGeRSGcxNTaMvY/+MWaGerRuKhlQMNIEABju67rmtkJRIbMZqGYLMqkkhFAg5ZUnejs9PkgJxCYLm4CvqioymQysVisSiQSCwSBGR0eRzV7+GrPbrlq1Cq+88grC4XBBr0GVYWBgADt27MCRI0fm3gvzzd42P1ha6P7ly5cjk8ng/fffX9TrByNNUFQVgz2n4fIGAABT4yNQTGZk07kRAiEEZq9PrrT97LHk8gaQzWYLPlaIZtlrGrDxj/4HbJ5Abg1ENbce4uxaiLNrJNrMChwWExwWlamZJWKk4EnLtL16APO7oXqQG1261jb1BT6WCKoi4LaZr1KlrxZ3tj+Jv/mDnTzx0sKu0Cvq9Pjwb//bjwCgoPePzGbg8gbwb/7rP+Bbf/p5TI2PLLidw+WBUJS50SWH2wfILGJTExdveEm7MpkMampq8Morr2DHjh0YHBy8Ylvmb8vAqfqEw2G88sorWLNmzYLvk/nvjw9+8IMYHh5e8P5du3YBAFatWnXZNlcy/7j5r1/62NxxMHtsPPbVzyI2OTYXOF1r+/nH0hWPFaIFOD0+/B+PPjmX9klUKC3D54XGNBcak11om0Iem3sCIb4khNgrhNh7tYsJIiIiIiKiq2HankaYtqcPk6PDePSrn74or56oUEzbIyNi2h5RTk1DKx755g84+qQDRkrb03Lk6S0AbUKIViGEBcCnADxzyTbPAPi8yNkGYFxK2VfgY4mu6cCuX14UOOUKBVzDQhNBC5kcWurH6aENBn2c2Xbx+jROjx9Oj++y7VRTLv3T6cudaIf7ui4LnIRy+ceq0xeEzGZgdbiQSSVhdbguC5wcl7z3Pvg7v4/bHvr9i24LRpoua5fXH5y7iHW73UgkEqirq8PXvva1ywIni8UCIJd2VVdXhyNHjsxVTKPq8eMf/xhHjhxBXV0dMpnMRcFzTU3N3HtpNnCavf/S98/x48fnAqdLt5nP6fEjGGmc+324rwuDPadR27wMf/qdn+NPv/NzuAOhucCppqEVX/ufz6KmoeWq22dSSbgDNfjT7/z8omPFYnde1oZLj3GLbYE1qQzyeVVxjytzG+Z/1g72nMaBXb+89vMQzaPZnCcpZVoI8QiAF5ArN/64lPJdIcQf5u//NoDnkKu0dxK5UuW/d7XHavBnkMHNlihlqfLqfZzeS5UDuGqp8q//zTexdUnwovLSs6XK3W43S5XTZWb3eSlKlc9u8y+/2gVfXVPBpcq/9q1nLitV/sg3f3jFUuWz28+WKp89XspVqpyPM+a5q5BS5UTXolnanhaYtkdEleaejiiWhV1aN4PoIs8d6sN75ye1bgYRGQTT9oiIqCwiXpvWTSC6TIN/gbQ4IqIKoGWpciLSiBCASRFQFQUmRUBRBFSRK+2uKAKKEFAEICAWrG0ppURWAlkpkc1KZLIS6fxXKp1FOls9I9pa8tjNcFr5MU760+B3aN0EwzMpAm6bCW5b7jh35BdmtZlVWPPrD5lVBSZVwKQoUBWR+wwXgHKF+UDZSz6709nc91RWIp3JIpWRSGWySGckkpkMkmmJRDqDZH5txEQ6i3gqg3gqg0R+QVmiasOzLpGOCQGYVWVu8T5z/mRpzX+/cJuYu+3Cl7joZ5OaC5TMau4kW0rZrEQyk0UilUU8ncFMMpNboDiZxlQijYmZFCbiaYzHkkhlGGhdryhHnUinAk4L3DYTJuNprZtiCF67GRGvDWGPFSGXFX6nBW6rCaKQoggaSmeymEllcl/J3PdY8sJnfix5YXH6mWSGHWtUERg8ERWRSRFzK5Jb5gc4s8GM6ZLf1QvbzQVI8wIii6ro/uS5EEURsCm5HlIvrrRAcW4EayKexvBUAoOTCZyfiKNvPI6ZZOaKj6ELIj6mRpF+NfjtONrHeU8LMasCzUEnltQ40RRwXGUhd30zqQrcqlJw++P5IGs6mc5/zwVYs8HW/AAskc4stD45keYYPBFdhTovbcJlVeGwmOC0qrCbTbBbVNjMCmwmFVazAqtJLfmITqURQsBrN8NrN2NJTa7ogZQSQ1NJdI3EcGpwCr1jcWR5Bl0QR55Izxr8DgZPl4j6bFhT70Vb2A2LqfqmndvMuU41v/PykvaXymblXObCTD5VMJ7KXvRzPD/qlUjNbpNFhqNbVGIMnoiQ6wWscVtR47Yi4LQi6LTA6zAbIm2i0ghxYV9savZjOpHGe/2TePfcOIamLl+ws1pZTApCLqvWzSC6osYA5z3Nag05saU1gChHiwumKAIOiwkOy+IuVRPpDOLJLGKpXMpgLJEb6ZpO5NLGJ+NpTMRTSKQ4X4uuD4MnqkoWk4LGgAONfjvqfXaEXFYoHDXSJafVhI1Nfmxs8qN7JIa9Z0dwZiimdbM0F3bzPUv6NjuqPD6T0ropmgm5LLhtRZiBZBlZTSqspqunjAO5FMKxWAqjsSRGppMYyqePc54eXQuDJ6oaDouKtloXltW4Ue+3M8XOgBoDDjQGHOgdm8FvTwzh3NiM1k3STD17sMkAmgIOHDo3rnUzyk4RAltaA9jaGmAnh07ZzCrqvCrqLkl/jiXT6BuPo3dsBj2jM+ifiHPuFV2EwRNVNCGAlqATaxu8aA06eRKrEFGfHZ/Y3Ih3e8ex68RQVRaYYPoPGUFTsPqCJ5fVhI+ui/AYNSiHxYSlNS4szc/DnUlmcGZ4GqcGp3F6aIoVYonBE1UmVRFoj3jQ2ewvaGIqGdPqqBctQSdePNKP00PTWjenbBQhEPGxWATpX6PfASFQNT33tR4b7lsf5fprFcRuUdEe8aA94kEqk8XJgSkc6Z1A92isat7XdDEe3VRRhABW1rlx05IQvA5jln6lxXFaTbhvfRRvnRnF6+8PVcXJLOS2wGpStW4G0TXZLSpq3FYMTCS0bkrJNQcd+Ni6aFVW0asWZlWZC6RGp5PY3z2Gd3vHORpVZRg8UcWo9dhw+8rwZfnLVPlEfn5B0GXBLw+fr/hV75kOREbSFHBUfPDUEnLgnnVRmFQGTtXC77Rgx8owti4J4J2uMezvHqv4cw/l8CgnwzMpAh9YHsKnNjcycKpyS2tceHBjPWzmyh6VaWDwRAbSEnRq3YSSqvfZ8TEGTlXLYTFh+7IQfvfmFqxr8ELh8iYVj0c6GVrIbcWntzZhUzMrGlFOxGvHxzdVdgBV72fwRMYR9dkrNpUt4LTg3vVRmBk4VT2n1YQ72mvx6a1NiHJOakXj0U6GtTrqwcObGxHkQqF0ibDbhgc31lfkBVvQZVn0opFEWlIVgYYKDPitZgX3dkQruqOGFq/GbcUnOhuxY2W4Is9BxOCJDEgRArevDOPDq+uYJkFXVOux4WPrIhWXQlGJF6FU+ZoqbJFYIYC7V9exmistSAiB9Y0+fGZrEyKcTlBxeOVJhmIxKbh/QxQdjT6tm0IG0Bx04o72sNbNKKoGf2VdhFJ1qLR5Txub/FiSXweI6Ep8Dgs+0dmIzS0BVFg/XlVj8ESG4bCoeGhTA5or7CRMpbWm3ouORq/WzSgajjyREfmdFvgqZPmIGrcV25eFtG4GGYSiCNzSFsI9HSxjXym4F8kQ3DYTPtHZiLCHw9+0eB9cHq6I1IkQ5zuRgbWEjN/xZVIE7l5TB5UFimiRlta48PCWporpRKhmDJ5I99w2Ex7a1MjccrpuqiLwkbURWM3G/shrqLB5I1RdWisga2BLawAhFimi6xRwWvDwliZWTDU4Y19JUMVz20z4nU0N8LKnhm6Q127GHStrtW7GDam0SfdUXRr8dphV447YhFwWdLYEtG4GGZzNrOLBDfVYXuvWuil0nRg8kW7ZLSoe3NgAn4MjTlQcK+rchj1hKaIyyz1T9TCpChoN2gEgBHBHey3T9agoTKqCnWvrKmo+bjVh8ES6ZDEpeGBDPQJM1aMiu31lGA6L8dZlqfNaYTUZr91E8y0JGbNC3co6D6I+dl5Q8QghcPvKWmzmaKbhMHgi3VEVgY+ti6CWxSGoBOwWFR9cUaN1MxbNqD32RPO11jgNV7LZYlJwaxur61Fp3NIWwk1Lg1o3gxaBwRPpzh3tYZYjp5JaWedBq8Eqf1XaOjlUnVxWk+E6xra0BuC0ssollc62JUGWvzcQBk+kK1uXBLA6yhxgKr0dK8IwGWT+gs2sVkSpdSIAWGKgjguP3YwNXJSdymBLawA3cwTKEBg8kW6sqHPjpiX84KDy8DrMhqmc1Rx0QBgt14noCpaGjTPv6ealQZhUXipReWxdEsTWJcY4L1UzfiKQLtR5bfjQqlpeIFJZdbb44bbpPx2nOcj5TlQ5Qi6rIYoB1bitWFlnzOqcZFw3Lw1hU7Nf62bQVTB4Is25rCbc0xGFmb17VGZmVcGtbfouHiEE5ztR5VlmgNGn7ctC7NAjTXxgeQ3WNXAKg17xapU0ZVIEPtYRgYuTcUkjK+rcqNdxCeJaj42T1anitOk8eKr32Q1XVIYqy+0rwxz51CkGT6Sp29vDiHj1e+FK1eHW5fqtcmSkyfVEhQp7bPDazVo344pYOpq0JoTAXavrsKSG5wC9YfBEmlnf5GNlPdKFiNeOFTrt4TPS5HqixVheq89jrjHg4LpqpAuKIrBzbQT1fnYy64kmwZMQIiCEeFEIcSL//bKZcUKIRiHEK0KIo0KId4UQX5l3338UQpwTQuzPf+0s719AN6rBb8cHdT7XhKrL9qUhqDorXe61mxFyWbVuBlFJLK/TZ8cAR51IT8yqgns7oqhx81ygF1qNPP0ZgJellG0AXs7/fqk0gK9KKdsBbAPwZSHEqnn3/52Ucn3+67nSN5mKxW0z4aPrIlB0dqFK1c3rMGNtvb5GQjnqRJUs7LYh6NJX1b2mgEPXcyCpOtnMKh7cWA+/Q7+prtVEq+DpPgDfz//8fQD3X7qBlLJPSvl2/udJAEcB1JethVQSJkXgno4oHBZOgCf92bokAItJP9nMep9UT3Sj9Ja6x1En0iuHxYQHNjawwJYOaHWVUCul7ANyQRKA8NU2FkK0ANgAYPe8mx8RQhwUQjy+UNof6dMd7bWo9di0bgbRghwWEzY0+bRuBoDcCG3Ey2OFKlt7nQd6qQbeHHQgylEn0jGv3YwHNtbDZla1bkpVK1nwJIR4SQhxeIGv+xb5PC4ATwH4d1LKifzN3wKwFMB6AH0AvnmVx39JCLFXCLF3cHDwOv8aKoYNTT6sinq0bgbRVW1q9sNu0f7EtCzs4hozVPG8DrNuApatSzjqRPoXcllx/4aorrIkqk3J/vNSyjullGsW+PoZgH4hRAQA8t8HFnoOIYQZucDpB1LKp+c9d7+UMiOlzAL4/wBsuUo7viOl7JRSdtbUsECBVpoCDnyABSLIAKwmFZtbAlo3A206S2ciKpVVEe071TjXiYwk4rXjnnVRmDh3XBNaha3PAPhC/ucvAPjZpRuIXJfr/wJwVEr5t5fcF5n36wMADpeonVQEXruZBSLIUDoavHDbtMsr99rNiDJlj6pEW60LZlXb88M2znUig2kKOrBzXQQKMxTKTqvg6RsAPiSEOAHgQ/nfIYSICiFmK+dtB/A5ALcvUJL8vwghDgkhDgLYAeBPytx+KpDFpODe9VHm55KhmFQF2zRM4VkZcTNlj6qG1aRqWjiCo05kVEtrXLh7TZ1u5g1WC026VqWUwwDuWOD2XgA78z//FsCCbwcp5edK2kAqCkXkFnfjOjVkRKsiHuw7O4qR6WTZX7u9Tvs0JqJyWtvgxbu9E9fesAQ46kRGtqLOjXQ2ixeP9ENKrVtTHTjbjErm1uUhtIacWjeD6LooisD2ZeW/qIp4bfA79bX2DVGpRbx2TRYBbQlx1ImMb3XUiztW1nIEqkwYPFFJrG/yYWMTK8iTsS0Lu8teLnyNzhbqJSqXjobyLxNw05JQ2V+TqBTWNnhx+8owA6gyYPBERbc07MJty1lZjyrDLW3lu7iymhWsqGOVPapOKyPusi4TsDTsQh0Ls1AFWdfgw53tHIEqNQZPVFRRnw0fWVPHye5UMRr8DiypKU/6aXudB2aVH8tUncyqgrVlGnkVAriZc52oAq2p9+LDq+pYha+EeJamogm5rbhvfT0v/qji3NpWU/ITkRDAugam7FF162j0lWXtmpV1HhYzooq1KurBR9fVcR2oEuFVLhWFz2HGAxvqWZKcKlLAacG6xtIGNq0hJ4K8mKMq57KasCpa2mqTJkXgZg2KwRCV07KwG/dvqIfFxEv9YuN/lG6Yx27Gxzc1wGXVblFRolK7aUmwpPMxWGCFKKezJVDSkd6NzX54bOaSPT+RXjQGHHiok9dnxcbgiW6Ix27G72xq4ImIKp7NrOKWZaUpHlHntaEx4CjJcxMZjdduxuoSjT65rCZ0trCjgqpH2G3DJ7c0IqTBUgCVisETXTe/w4yHOhvgtTNwouqwOuopSelyTlwnuti2pUGY1eKPPt3SFoLVxPRyqi4emxmf7GzE0rBL66ZUBAZPdF1q3FY81NnIESeqKkII3NFeC7WIk3Dr/XY0B7mYNNF8Lqup6KmsDX472iOlnU9FpFcWk4J71kVw09IgS5nfIAZPtGjNwVwOrZM5tFSFatxWbGkNFOW5hAA+0MY10YgW0tkSgKdImQ1mVeBDq2qL8lxERiWEwLYlQTywoR6OMq6pVmkYPNGirGvw4v719Ux7oKq2uSVQlMU110S9XKST6AosJgU7VhSnc+HmZSH4HJaiPBeR0TUHnfjMtmY0BznX9noweKKCmBSBO9trcUd7LRSuG0BVTlUEdq6JwGq+/o9Qp1XF9hIVoCCqFEtqXDecarekxokNjb4itYioMrisJjywoR63ragpyfzCSsbgia7J5zDjE5sbsZYLeBLN8TrMuHt13XXljgsBfHhVXUlLnxNVittXhuF3XF/6nsduxl2r6yA4yYPoMkIIbGjy43PbWjgKtQgMnuiq1tR78emtTaj1MLWI6FJLalz4wPLFpxVtbgmgJcQiEUSFsJgU3NMRXfQi7DazysXbiQrgdZjx4MYG7FwbgdvG+ezXwuCJFuSxm/HAhnp8aFUt5zcRXcXGJj9uaSs8/a494mG6HtEiBV1W3Lc+CoupsMsWm1nF/RuiCDg5z4moUCvq3PjCzS24aWmw4GOtGjG8pIuYVYFNzQF0tvhhVnngEBVic0sADouKV44NIJWRV9xuQ5OP1fWIrlPUZ8dDnQ14Zn8vJuPpK27nd5hxT0cUQRcXBSVaLLOqYNuSIDoafNh3dhQHesaQTGe1bpauMHgiALkJ8KujHmxdEoSLJciJFm111IuI145/PTmE9wenIOfFUAGnBbe0hbC0hgsUEt2IsNuGz25rxhunhvHuufGLOitsZhXrGrzY0hpg5x/RDbJbVNzSFkJnix8He8ZxoHsMU4krd1pUE14lVzmLScGaei82Nvng5oK3RDck4LTgno4oYsk0+sbjyGQl/A4LatzsAScqFptZxY4VYWxfGkLf+AxmUhm4rCbUemwMmoiKzGZWsaU1gM5mP94fnMK7vRM4OxxDVl45y6LSMXiqUvU+O1ZFPVhe62ZeK1GROSwmjjIRlZjFpKA5yMIrROWgKAJttW601boxnUjjeP8kTgxMoW8sXnWBFIOnKqEqAlGfHa0hJ5aFXfAWadV2IiIiIqoeTqsJG5r82NDkRzyVwZnhaXQNx9AzOoPxmZTWzSs5Bk8VymlVEXbbUOuxIeqzIeqzM52BiIiIiIrGZlaxss6DlXW5xaynEmmcH49jYCKOwakEhqeSmIinUEmDUwyeNBJ227As7EIynUUqM/slkclKpLMSWSmRzV54pwmRGzJVhYBZVWA2KbCZFNjMKpxWFU6LCR67GV67GX6HhYtvEhEREVFZuawmLAu7sCx8IXU9nclifCaF8ZkUphJpTMXTiCUziKUyiKcySKSzsFuME5IYp6UVZkWdGyvq3Fo3g4iIiIioZEyqgqDLWjHLBzCPi4iIiIiIqAAMnoiIiIiIiArA4ImIiIiIiKgADJ6IiIiIiIgKwOCJiIiIiIioAAyeiIiIiIiICsDgiYiIiIiIqAAMnoiIiIiIiAqgSfAkhAgIIV4UQpzIf/dfYbszQohDQoj9Qoi9i308ERERERFRsWg18vRnAF6WUrYBeDn/+5XskFKul1J2XufjiYiIiIiIbphWwdN9AL6f//n7AO4v8+OJiIiIiIgWRavgqVZK2QcA+e/hK2wnAfxKCLFPCPGl63g8ERERERFRUZhK9cRCiJcA1C1w118s4mm2Syl7hRBhAC8KIY5JKV9bZDu+BOBLANDU1LSYhxIREREREc0pWfAkpbzzSvcJIfqFEBEpZZ8QIgJg4ArP0Zv/PiCE+AmALQBeA1DQ4/OP/Q6A7wBAZ2envP6/iIiIiIiIqlnJgqdreAbAFwB8I//9Z5duIIRwAlCklJP5nz8M4D8V+viF7Nu3b0gIcfbGm18UIQBDWjeCLsP9oj/cJ/rE/aI/3Cf6xP2iP9wn+qSn/dJ8pTuElOUfjBFCBAE8CaAJQBeAh6SUI0KIKIDvSil3CiGWAPhJ/iEmAD+UUv7fV3t8uf+OGyGE2HtJBUHSAe4X/eE+0SfuF/3hPtEn7hf94T7RJ6PsF01GnqSUwwDuWOD2XgA78z+fAtCxmMcTERERERGVilbV9oiIiIiIiAyFwZN2vqN1A2hB3C/6w32iT9wv+sN9ok/cL/rDfaJPhtgvmsx5IiIiIiIiMhqOPBERERERERWAwVOZCCECQogXhRAn8t/9C2zTKIR4RQhxVAjxrhDiK1q0tRoIIe4WQrwnhDgphPizBe4XQoj/kb//oBBioxbtrCYF7JPP5PfFQSHE60KIBQvKUPFca5/M226zECIjhPidcravWhWyX4QQtwkh9ufPJa+Wu43VpoDPL68Q4lkhxIH8Pvk9LdpZTYQQjwshBoQQh69wP8/zGihgv+j+XM/gqXz+DMDLUso2AC/nf79UGsBXpZTtALYB+LIQYlUZ21gVhBAqgMcAfATAKgAPL/B//giAtvzXlwB8q6yNrDIF7pPTAD4opVwH4OswSG60URW4T2a3+xsAL5S3hdWpkP0ihPAB+HsA90opVwN4qOwNrSIFHitfBnBEStkB4DYA3xRCWMra0OrzPQB3X+V+nue18T1cfb/o/lzP4Kl87gPw/fzP3wdw/6UbSCn7pJRv53+eBHAUQH3ZWlg9tgA4KaU8JaVMAvgRcvtnvvsA/IPMeROATwgRKXdDq8g194mU8nUp5Wj+1zcBNJS5jdWmkOMEAP4YwFMABsrZuCpWyH75NICnpZRdACCl5L4prUL2iQTgFkIIAC4AI8h1mFKJSClfQ+7/fCU8z2vgWvvFCOd6Bk/lUyul7ANyQRKA8NU2FkK0ANgAYHfJW1Z96gF0z/u9B5cHqYVsQ8Wz2P/37wN4vqQtomvuEyFEPYAHAHy7jO2qdoUcK8sB+IUQvxFC7BNCfL5sratOheyTRwG0A+gFcAjAV6SU2fI0j66A53n90+W5XpNFciuVEOIlAHUL3PUXi3weF3I9uf9OSjlRjLbRRcQCt11adrKQbah4Cv5/CyF2IPeBektJW0SF7JP/BuDfSykzuQ51KoNC9osJwCbkFpO3A3hDCPGmlPJ4qRtXpQrZJ3cB2A/gdgBLAbwohNjFc7ymeJ7XMT2f6xk8FZGU8s4r3SeE6BdCRKSUfflh4QXTKIQQZuQCpx9IKZ8uUVOrXQ+Axnm/NyDXG7jYbah4Cvp/CyHWAfgugI9IKYfL1LZqVcg+6QTwo3zgFAKwUwiRllL+tDxNrEqFfn4NSSmnAUwLIV4D0AGAwVNpFLJPfg/AN2RufZiTQojTAFYC2FOeJtICeJ7XKb2f65m2Vz7PAPhC/ucvAPjZpRvkc6H/F4CjUsq/LWPbqs1bANqEEK35CbufQm7/zPcMgM/nq/FsAzA+m3ZJJXHNfSKEaALwNIDPsQe9LK65T6SUrVLKFillC4B/AfBHDJxKrpDPr58BuFUIYRJCOABsRW4OLZVGIfukC7mRQAghagGsAHCqrK2kS/E8r0NGONdz5Kl8vgHgSSHE7yP3IfoQAAghogC+K6XcCWA7gM8BOCSE2J9/3P8ppXxOiwZXKillWgjxCHLVwSIVMA4AAAHGSURBVFQAj0sp3xVC/GH+/m8DeA7ATgAnAcSQ6zWkEilwn/wVgCCAv8+PdKSllJ1atbnSFbhPqMwK2S9SyqNCiF8COAggi9w5ZsGywHTjCjxWvg7ge0KIQ8ili/17KeWQZo2uAkKIJ5CrbBgSQvQA+L8AmAGe57VUwH7R/ble5EaQiYiIiIiI6GqYtkdERERERFQABk9EREREREQFYPBERERERERUAAZPREREREREBWDwREREREREVAAGT0RERERERAVg8ERERERERFQABk9ERFR1hBCbhRAHhRA2IYRTCPGuEGKN1u0iIiJ94yK5RERUlYQQfw3ABsAOoEdK+Z81bhIREekcgyciIqpKQggLgLcAxAHcLKXMaNwkIiLSOabtERFRtQoAcAFwIzcCRUREdFUceSIioqokhHgGwI8AtAKISCkf0bhJRESkcyatG0BERFRuQojPA0hLKX8ohFABvC6EuF1K+Wut20ZERPrFkSciIiIiIqICcM4TERERERFRARg8ERERERERFYDBExERERERUQEYPBERERERERWAwRMREREREVEBGDwREREREREVgMETERERERFRARg8ERERERERFeD/By7Hu4zj4eA8AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,6))\n", "plot_gp(m_deep, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can look at the samples from the posterior, of both simulated observations and of the latent GPs. We can see that while the samples are not tightly fit to 0 or 1, we observe a reasonable behaviour representing the rectangle function (which we have treated as continuous). Notably, if we look to the edges of the plot, where we are sampling at input from which we have no observations, the behaviour is modelling the step functionality as a possibility." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(2,1, figsize=(14,12))\n", "\n", "samples = sample_dgp(m_deep, Xnew, 10, include_likelihood=True)\n", "for sample in samples:\n", " axs[0].plot(Xnew, sample, 'go', alpha=0.2)\n", "axs[0].plot(X, y, 'kx', mew=2)\n", "axs[0].set_title(\"observable samples\")\n", "\n", "samples = sample_dgp(m_deep, Xnew, 100, include_likelihood=False)\n", "for sample in samples:\n", " axs[1].plot(Xnew, sample, 'g-', alpha=0.1)\n", "axs[1].plot(X, y, 'kx', mew=2)\n", "axs[1].set_title(\"latent samples\")\n", "\n", "[(ax.set_xlabel(\"x\"), ax.set_ylabel(\"y\")) for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "\n", "Plot the different layers of the GP and comment on the warping. Can you explain why we are observing simulated discontinuities in the extrapolated regions? " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_dgp_layers(m_deep, Xnew, training_points=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Looking at the warping, we can see that in the final layer before observation, we have essentially learned a sigmoid function which quite rapidly maps data to either 0 or 1 given the input. Observing the range of likely inputs from the preceding warping function, f2, we can see simlar form where most of the data is warped to either approximately -1 or 1.5, which respectively map to 0 and 1 in f1.\n", "\n", "> Note that we may not have learned the optimal model, and you may want to adapt the model, in terms of, e.g. the number and dimension of hidden layers, and the kernels describing the underlying GPs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Credit\n", "\n", "This notebook was written by Wil Ward, based on documentation of PyDeepGP and talks by [Neil Lawrence](http://inverseprobability.com/). " ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }