{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Plotting\n", "\n", "*Written by Luke Chang & Jin Cheong*\n", "\n", "In this lab, we will introduce the basics of plotting in python using the `matplotlib` and `seaborn` packages. Matlotlib is probably the most popular python package for 2D graphics and has a nice tradeoff between ease of use and customizability. We will be working with the `pyplot` interface, which is an object-oriented plotting library based on plotting in Matlab. Many graphics libraries are built on top of matplotlib, and have tried to make plotting even easier. One library that is very nice to generate plots similar to how analyses are performed is [seaborn](https://seaborn.pydata.org/examples/index.html). There are many great tutorials online. Here are a few that I found to be helpful from [neurohackademy](https://github.com/neurohackademy/visualization-in-python/blob/master/visualization-in-python.ipynb), [Jake Vanderplas](http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.00-Introduction-To-Matplotlib.ipynb), and [rougier](https://github.com/rougier/matplotlib-tutorial).\n", "\n", "\n", "## Matplotlib Key Concepts\n", "There are a few different types of concepts in the `matplotlib.pyplot` framework.\n", "- `Figure`: Essentially the canvas, which contains the plots\n", "- `Axes`: An individual plot within a figure. Each Axes has a title, an x-label, and a y-label\n", "- `Axis`: These contain the graph limits and tickmarks\n", "- `Artist`: Everything that is visiable on the figure is an artist (e.g., Text objects, Line2D object, collection objects). Artists are typically tied to a specific Axes.\n", "\n", "**Note**: `%matplotlib inline` is an example of 'cell magic' and enables plotting *within* the notebook and not opening a separate window. In addition, you may want to try using `%matplotlib notebook`, which will allow more interactive plotting.\n", "\n", "Let's get started by loading the modules we will use for this tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-10-23T21:29:27.960386Z", "start_time": "2020-10-23T21:29:26.472751Z" } }, "outputs": [], "source": [ "%matplotlib inline \n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lineplot\n", "First, let's generate some numbers and create a basic lineplot.\n", "\n", "In this example, we plot:\n", "\n", "$y = x^2$ " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:31:32.464757Z", "start_time": "2020-04-07T15:31:32.339629Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_3_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.arange(0, 50, 1)\n", "y = x ** 2\n", "\n", "plt.plot(x, y, linewidth=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatterplot\n", "We can also plot associations between two different variables using a scatterplot. In this example, we will simulate correlated data with $\\mathcal{N}(0,1)$ using `np.random.multivariate_normal` and create a scatterplot. Try playing with the covariance values to change the degree of association.\n", "\n" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:54:38.407081Z", "start_time": "2020-04-07T15:54:38.208029Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_5_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 500\n", "r = .9\n", "mu = np.array([0, 0])\n", "cov = np.array([\n", " [1, r],\n", " [r, 1]])\n", "data = np.random.multivariate_normal(mu, cov, size=n)\n", "\n", "plt.scatter(data[:,0], data[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histogram\n", "We can also plot the distribution of a variable using a histogram.\n", "\n", "Let's see if the data we simulated above are actually normally distributed." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:44:23.891967Z", "start_time": "2020-04-07T15:44:23.703368Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([ 13., 27., 58., 97., 111., 95., 53., 31., 12., 3.]),\n", " array([-2.49785684, -1.95098132, -1.40410579, -0.85723027, -0.31035474,\n", " 0.23652078, 0.78339631, 1.33027183, 1.87714736, 2.42402288,\n", " 2.9708984 ]),\n", " )" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_7_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist(data[:,0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot overlaying histograms. Let's simulate more data, but shift the mean of one by 3." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:50:10.798569Z", "start_time": "2020-04-07T15:50:10.651711Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([[ 17., 45., 143., 175., 95., 24., 1., 0., 0., 0.],\n", " [ 0., 0., 0., 7., 25., 90., 167., 143., 62., 6.]]),\n", " array([-2.77829094, -1.93245112, -1.0866113 , -0.24077149, 0.60506833,\n", " 1.45090815, 2.29674797, 3.14258779, 3.9884276 , 4.83426742,\n", " 5.68010724]),\n", " )" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_9_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r = .9\n", "mu = np.array([0, 3])\n", "cov = np.array([\n", " [1, r],\n", " [r, 1]])\n", "data = np.random.multivariate_normal(mu, cov, size=n)\n", "\n", "plt.hist(data, alpha=.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bar Plot\n", "We can also plot the same data as a bar plot to emphasize the difference in the means of the distributions. To create a bar plot, we need to specify the bar names and the heights of the bars." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:48:54.570448Z", "start_time": "2020-04-07T15:48:54.467575Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_11_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.bar(['x1','x2'], np.mean(data, axis=0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D Plots\n", "We can also plot in 3 dimensions with `mplot3d`. Here we will simulate 3 different variables with different correlations." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T15:52:58.485081Z", "start_time": "2020-04-07T15:52:58.353144Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_13_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits import mplot3d\n", "\n", "n = 500\n", "\n", "r1 = .1\n", "r2 = .5\n", "r3 = .9\n", "\n", "mu = np.array([5.0, 0.0, 10.0])\n", "\n", "cov = np.array([\n", " [ 1, r1, r2],\n", " [ r1, 1, r3],\n", " [ r2, r3, 1]\n", " ])\n", "data = np.random.multivariate_normal(mu, cov, size=n)\n", "\n", "\n", "ax = plt.axes(projection='3d')\n", "ax.scatter3D(data[:,0], data[:,1], data[:,2], alpha=.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Customization\n", "One of the nice things about matplotlib is that everything is customizable.\n", "\n", "Let's go back to our first scatterplot and show how we can customize it to make it easier to read. \n", "\n", "We can specify the type of `marker`, the `color`, the `alpha` transparency, and the size of the dots with `s`.\n", "\n", "We can also label the axes with `xlabel` and `ylabel`, and add a `title`.\n", "\n", "Finally, we can add text annotations, such as the strength of the correlation with `annotate`." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:04:21.580404Z", "start_time": "2020-04-07T16:04:21.428202Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(-2, 2, 'r=0.9')" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_15_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 500\n", "r = .9\n", "mu = np.array([0, 0])\n", "cov = np.array([\n", " [1, r],\n", " [r, 1]])\n", "data = np.random.multivariate_normal(mu, cov, size=n)\n", "\n", "plt.scatter(data[:,0], data[:,1], color='r', marker='o', s=30, alpha=.25)\n", "\n", "plt.xlabel('Variable 1', fontsize=16)\n", "plt.ylabel('Variable 2', fontsize=16)\n", "plt.title('Scatterplot', fontsize=18)\n", "plt.annotate(f'r={r}', xy=(-2,2), xycoords='data', fontsize=14, color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Layouts\n", "\n", "The easiest way to make customized layouts that can include multiple panels of a plot are with `subplot`. \n", "\n", "![subplot](../images/plotting/subplot.png)\n", "\n", "There are two different ways to index. One is by adding a subplot. The first number is the number of rows, the second is the number of columns, and the third is the index number.\n", "\n", "I personally prefer to index directly into the `ax` object with rows and columns as I find it more intuitive.\n", "\n", "You can do even more advanced layouts with panels of different sizes using [gridspec](https://matplotlib.org/3.2.1/tutorials/intermediate/gridspec.html). \n", "\n", "Let's make our simulation code into a function and use subplots to plot multiple panels.\n", "\n", "We specify the number of rows and columns when we initialize the plot. We can also play with the size of the plot. Here we tell matplotlib that the x and y axes will be shared across the different panels. Finally, `plt.tight_layout()` helps keep everything formatted and organized nicely.\n", "\n", "When modifying `axes` we need to use the `set_{}` command rather than just the command itself. For example, `ax[0,0].set_xlabel('X')` rather than `plt.xlabel('X')`." ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:34:26.848911Z", "start_time": "2020-04-07T16:34:26.265247Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAI4CAYAAABndZP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8GearUAAAgAElEQVR4nOy9e3Bb6XUneC5APAiSAPgSCYikQEqiWhKlltRsdVqy3E5bbredhyceZ5KeTSaOp+KtrWRqpypbtX9s7WRTO7O72a3MePKaWu8kk0el2q9xnMc4bbcst91Wu9VNSd0SRYkURYIvEHyBBEiCBEDy7h8/HX8XlxdPAuQF9P2qUCSA+/juxT3n+53znYeiqipJSEhISEhISFQTLAc9AAkJCQkJCQmJUkMSHAkJCQkJCYmqgyQ4EhISEhISElUHSXAkJCQkJCQkqg6S4EhISEhISEhUHSTBkZCQkJCQkKg6SIIjUTFQFMWpKMr/oyjKrKIoG4qi/FhRlI/mue+vKYryXxVFmVAURVUU5c/LPFwJCYl9xh51xH9RFOWBoigxRVHWFEX5UFGUf6UoirXc45YoDyTBkagk/CkR/QYR/Rsi+lkimiWi7yiKci6PfX+FiI4S0ZtEFCvbCCUkJA4Se9ERtUT0h0T0i0T0WSK6RkT/kYj+fXmGKlFuKLLQn8R+QlEUh6qqiSL2e5aIPiCiL6iq+l+efFZDRPeJaFhV1Z/Psb9FVdWdJ/9PE9E1VVU/X+g4JCQkyouD0hEZjvk6Ef2sqqoNhe4rcfCQHhyJskFRlP/tyXJQn6Io31EUZY2Ivlbk4X6eiFJE9FX+QFXVLSL6ChF9UlEUR7admdxISEiYB2bSERmwRERbRY5H4oBRc9ADkHgq8LcE1/HvEdGOoigWyo9c72iIyWkiGldVNa7b5j4R2Yno2JP/JSQkKg+m0BGKoihEZCWieiL6OBH9GhH93/lehIS5ID04EvuBP1BV9f9QVfW6qqpvEdbHU3m8/o3mGE1EtGxw7IjmewkJicqEWXTEzzw57jIRfZ2I/lBV1f+94KuRMAWkB0diP/A3uvdfJqJ/yGO/UBnGIiEhYT6YRUe8TUTPE5GH4MH5nxRFUVVV/V9KfB6JfYAkOBL7gVnd+zARzeexnzZuZpmIjhhsw1ZZxOA7CQmJyoApdISqqlEiGnjy9nuKoiSJ6H9VFOVPVFWdyWM8EiaCXKKS2A/oU/WKcT/fJ6JuRVFcumOdIqIkEY2WftgSEhL7BLPqiAHCPNldxL4SBwzpwZE4CBTjfv57IvpdQo2KvyD6SQroLxHRd4tJK5WQkDAtzKIjXiKQr7Ei9pU4YEiCI7HvUFU1RAWunauqekdRlK8S0ZcURbER0TgR/Q8Ey+q/026rKMooEU2oqvpxzWenCJYcEQp6HVEU5XNP3v9AVdWFoi5GQkKi5NhvHaEoys8Q0a8TSNIkETUQ0aeI6ItE9P8+GY9EhUESHIlKwq8T0b8jon9LRF4i+pCIXlVV9bZuuxpCqqcW/4yIfkfz/mNPXkREP01Eb5V2qBISEgeAYnXEY8JS1L8lokNEtEJEj4joXxDR62Ues0SZICsZS0hISEhISFQdZJCxhISEhISERNVBEhwJCQkJCQmJqoMkOBISEhISEhJVB0lwJCQkJCQkJKoOFZ9F1dLSogYCgYMehoSERBlx69atRVVVWwvdT+oHCYnqRyb9UPEEJxAI0MDAQO4NJSQkKhaKokwUs5/UDxIS1Y9M+kEuUUlISEhISEhUHSTBkZCQkJCQkKg6SIIjISEhISEhUXWQBEdCQkJCQkKi6iAJjoSEhISEhETVQRIcCQkJCQkJiaqDJDgSEhISEhISVQdJcCQkJCQkJCSqDpLgSEhISEhISFQdTEVwFEVxKorynqIoHyqKcl9RlN896DFJSEhISEhIVB7M1qohQUQvq6q6piiKjYh+pCjKP6qq+u5BD0xCQkJCQkKicmAqgqOqqkpEa0/e2p681IMbkYSEhISEhEQlwlRLVEREiqJYFUX5gIjmiehNVVVvGmzzRUVRBhRFGVhYWNj/QUpISJgWUj9ISEgQmZDgqKq6rarqOSLqIKKLiqL0GWzzZVVV+1VV7W9t3dUhXUJC4imG1A8SEhJEJiQ4DFVVV4jo+0T06kGPRUJCQkJCQqKyYCqCoyhKq6Io3if/1xLRJ4jo4cGOSkJCQkJCQqLSYKogYyLyEdFfKIpiJZCvr6mq+g8HPCYJCQkJCQmJCoOpCI6qqneJ6PxBj0NCQkJCQkKismEqgiMh8VQgkSAKBokWF4laWogCASKH46BHJSEhIVFVkARHQiIbSk1GEgmia9eIVleJXC6iqSmi0VGiq1clyZGQkJAoISTBkZDIhHKQkWAQx2tvx3u3mygcxucnTpRq5BISEvsB6Y01NSTBKSfkw1/ZKAcZWVwEWdLC5cLnkuBIVBOqXf9Jb6zpYao08aoCP/x37hAtLeHvtWv4XKIykI2MFIuWFqJ4PP2zeByfS0hUC6pB/yUSRMPDRDdu4K9+7FoDyO3G39VVfC5hCkiCUy7Ih7/yUQ4yEggQNTTAExSL4W9DAz6XkKgWVLr+y4eglcMAkigpJMEpF+TDX/koBxlxOODCPn+eqLkZf6VLW6LaUOn6Lx+CJr2xpockOOWCfPgrH+UiIw4H4m0uX8ZfSW4kqg2Vrv/yIWjSG2t6yCDjciEQQMBZOAzBiMflw1+JYDIiA4AlJPLHfum/cgUyt7QgaNjtFp/F4+l6gA0gPv+JE9UXSF3hkASnXJAPv4SExNOK/dB/5cxiypegSQPI1JAEp5yQD39lo9rTXCUkyoly679y1pSSBmpVQBIcCQkjlNM6lMRJQmLvKHdNqb0StGqUc6NrIjLtdUqCIyFhhHJZh7I4mIREaZBPnEypkS9pqUY5N7qmBw+IVBXfmfA6ZRaVRGmQqyhWpaFcaa6VXh9EQsIs2O8spkKKF1ajnBtd09gY0fi4aa/z6SI41TYJmwWlrFpqlt+oXGmulV4fRELCLNjvmlKFkJZqlHOja0qliJLJ9M9MdJ1PD8GphtLhZkWprJVS/0Z7IUvlsg4rvT6IxNMFsxgcmbCfNaUKIS3VKOdG12SzEdnt6Z+Z6Dqfnhgc2cW5fChVsF8pf6O9roGXK4tC1keSqBRUYxzJXlBIzE81yrnRNfX0IAbHpNf59BAc2cW5fChVsF8pf6NSkKVypLnK9FOJSkG1GoXFZjcVQlqqUc4zXRORaa/z6SE4BxFx/7SgVNZKKX8jMxNaWR9JohJgZhkqFnvxShVKWqpRzjNdk0mv8+khOMVOwtVYy6DUKJW1Ukq3riS0EhJ7Q7ll6CB06169UtVIWqoYTw/BKWYSlmvQ+aMUgl9Kt26518DNQnzNMg6J6kM5ZeigdGs1eqW0kPogDU8PwSEqfBKu1jXocmMvQmb0GxVzvGIJbT7n0Spnm43o5k2i7W2iV18l6u3dP4UiCbhEOVHOOJKD0q3V7NmV+mAXni6CUyiqne2XA8UIWTZisdc183wJbSHnYeXc1ER06xbRxgZeb75JNDm5fwpFEnCJcqNcSzIHpVurMbuJIfXBLpiqDo6iKJ2KonxfUZQhRVHuK4ryPx7ogKqxlkG5oRWyfGri5Kp9U+jx9mPcrJzn5kBsmpqIvF54c/azimc1FhOTeDpwULp1v4sD7iekPtgFUxEcItoiot9WVfUUEf0UEf2moiinDmw0+10KvBpQqJDlIhb7JbTFFPFaWUn3NHk8+6tQJAGXqFQcpG7dz+KA+wmpD3bBVARHVdVZVVVvP/l/lYgeENHhAxtQNbP9cqFQIctFLPZDaBMJKNk7d7DExKXHM52HlXMqRbS8TBSJENXWgpztp0IpZpIwe2VaiacDUreWHvnqg6dIB5g2BkdRlAARnSeimwbffZGIvkhE1NXVVd6ByLTAwlDoGneuoL/9yIa6dg0kZXubaGAAnpjeXiw9ZSvi1dVF9MYbRFYr/o9E9tfDV2gQ6FMShLiv+kGieEjdWlrkow+eEh3AUFRVPegx7IKiKPVE9AMi+neqqn4z27b9/f3qwMDA/gxMIj8UkvWkFzgmMFqBK2fq4/AwPDft7fDczM2hQ+7Fi0Qvv5z7PJWUlqm9VkY4DOvZ5JOMoii3VFXtL3Q/qR8kJDSoYB2QDZn0g+k8OIqi2IjovxLRX+ciNxImRSGWWS6ro9wEQrtEZrcTdXbCg+N259+zqlKsUJkVKCHx9EGrQycnkQyhRRXrAFMRHEVRFCL6UyJ6oKrqvz/o8UjsEzKRhP1wp1ZzXQw9nqZrlZDYT5jVk6vXobOz8NhcvSq6gFexDjBVkDERXSaiXyWilxVF+eDJ69MHPSiJA8J+pIg/TZlyT9O1SkjsF3KVujhI6HVoXx8+Hxx8KnSAqTw4qqr+iIiUgx6HhEmwH0sq1dj1NxOepmuVkGDsxbuSz75mLrCn16F2O9ELL+C6mpv3PyRgn2EqgiNR5ShUeOSSSm4Uek8rKWZIQmKv2Msyd777mjm2zUiHplJEzz13MCEB+wxJcMwO/QTm82EdtdIYdjHCsx9l1StZqCt57BIS+4G9eFfy3dfMhhjr0KkporU1ovl5XI/Pt3vbfK+3grw8kuCYGfoJbGwMD+uxY8j0qaQJrRhFU84lFRbS27dBGPv64L7NZ1z7JeC5zmNm17iEhBmQybsSConvM8lwvp6Z/exvVYzH9soVotdfB7lpbcUY3367OE9UhRlVkuCYGfoJbGUFlXOJMJlV0oRWrBtXv6TCVTi1Ak6UvVmn/jsiIaQTE/gukYDb1m43HhcfJxQiGhnBNuUkmfkoEjO7xiUkCkUxhkOufYy8K4uLCAQmIjp0iKi+3liG8/XM7FdsW7HkYnYWuko77mI9URVmVEmCY2boJ7BoFJbBygrqtRBVzoRWrBtXq8Dcbgh0IiEEfGiISFGINjd3Cz2RsULo6hJCmkwim2B6mmh9XYxHT274OJEI0cOHcPG2tRE5nSIj4cKF0im2fBSJmV3jEhKFoJjJO5999N6VaBReW1Ul8vsx+dfWYlv9JJ2vZ2a/PLrFkotSeqIqzKiSBMfM0E9gHg/Ro0dEzzwjtjmICa0YgS7GjatXYDdvptdwcLuhrIhALojShZ7IWCEMDqLY1eQk0cwM0XvvYX26vR0espYWos98RoxDq1gWFkBsNjZAiubmkBqaTIJolcqbk48i0d7Tmhpcz/Y20enTuHfVVIVZorpRzOTN+zQ1YdtoFB7Wri6iM2ewjd67YrMRNTbCMKmrwysSgfzrJ+l8PDPFelWKkb1iyUUpPVEVZlSZrQ6OhBb6uiWKAuEkOrgaBsXWfGDhKaS5nlbpud1QTqqK62Ykk8gK0IKFPpNCSKVAah4+JHr3XXjEUiminR2M58gRWHYM7XE8HkEexsdBdFwuWIOlrNOTT5NRvqenT2MsREQ9PUT37+f+Tcxcu0Pi6UOupruZ9qmpIbp1C6QiFoPcvvFG+nPMy9yXL0OP+Hy7v5+fN26Sq903EIBsa5tU6nVUPjqgWNnT6oRkEgbNnTu47mz7FlL/Snu9Rp3WK6yWlvTgmBlGjPoznxFZVAdRx2Qva7CFpijrlZ7Xi5iZaFR8xtU4tdBaFEbWhteL/1dWcC0NDSCPx45hqWtoCG5rvrdstTidRFtb8NrE47Ac7Xb85ftRKndtvh4vh0O0mND3l8nH+q2QtXSJKkcxnoGWFnh1NzYgg0SY6K3WzM9xSwvkKBqF58bhgDyfPl2YN5k9NS5X4V6VYmVPmxE1MoJr8HpxrmvXhMFo5B0qVYzQfsUblQiS4JgdRqTA7T64SWg/12D1Sq+tjchigbclFoMC7O4GOclEBIxIgsuFYld37sCblEziHI8e4bvlZXhkWGkEAkQPHuD9zg622d7GWFpbic6dK33Z80IUSTG/SYWtpUtUKbTB+9EoZNvjyW8JOxCAHMbjYmKvrYUHNtNzzCSBCCRjYQHk5rXX8vcmEwlSYrHg/IUQs70kXFy9SnT9OjJqn38eOtFuFwQpEMi8ZFaq+leFGqoHCElwJArDfq7BGnkxLl0iOnoUBIcnfaLMRMCIJASDsNp6e0FugkEQGJcL1l9PD9LGIxFYSnY7zmexwL3d3AxFx56cSKQ86aH5KpJird8KWkuXqELovSIsQx0d+XkGHA6iV18levNNLF97vZjwIxHj5SbeR6sT9hr/4nTC6CkktnAvsudwYL/z59P31y7nSc/sTyAJTrF4WgM097PmQyFejExEwOEQY2MF4PPhGubmsI69vAxik0zCIjx6FGvsOzuIbenuxrLg9jaWsNrbQXo8Hihjv/9g3bXF/Cb7+TtKSBghk1fE789/Mu7thQwzSYpEMj/Hep3d35+/rGYjJYEADKHBQcQIdnVlP1Y22ctnXsk2FumZTYMkOMWgwoodlRSlXoPNJdBGBKXQXjJGv9WVKwgWPH4c1tDysnjdv090+DCCkB0O1MdJpRCzMzUFZXL8OJbGmFgdZKXPYn6TCltLl6hClGIyzvUcl6p+VS6DYHIS+qCuDvpjcjLzsTONmSi/eSXXWMrlma1Ao14SnGJQbJDYfqNcD2Sp1mDzIYp7JZOZfqvZWfz//PP4m0wi+2JmBoHEiQSUVW0tPD2NjfiOU0qjUXzG6eT7XQhQj2J+kwpaS5eoQpRqmZSfY15+HhgQbW3eftu4flWhOjsbkRoeLq5Ku1728j1OtrGUyzNboUa9JDjFoBLcgGZ7II3IVj5EMds2fIxiy61rFazdjuWmlRUowGPHRHDxygr26+iAsmhqgmucCETJ4TAuBNjYCM/PwADid15+2dTKQEJiX1HKydiorc3YGIyV48fxvbZ+lc0GY2RnJ3/DL5NBUKr5oJDjZBpLuTyzmfQwxyia1KsjCU4xqIQATTM9kPmkWCaTGF8ohHVsHle2XjKjo8ZLT9pmpG539rVzrYIlwj5XruAeJZNYV5+Zgds5mUQ8zgsviMBjfWAfFwKMxZDtUF+P2J333oMyNbnFIyGxbyjlZKzVd8kk5PXePcizosDr6nTi2DdvCrJjs6WnWBeDUs0HpfZolXI+MtLDNhu83p2d5jCiDSAJTjGohABNfiCZOESjIA5jY8gS2s8HMhiEZ4MIdWy8XrznFEunE8W6Njbw3m6H0rlyBUThzh0QCw7ujcchXHoCNzWFpnIej7g+hwPHN/qt9Aq2uxv3g7OiolH8dbvhiVlfh7JkaAP7uJLw3Bz2t1qhVLu68L67WxQAMxMRlpA4SJRqMtZOwOEwdElnJ7yvTU1IDgiFYPzU1SETsqlJZEvuRS5LNR+YeV4xIl8TE9BzJg7VkASnGFRCgGZLC8jM/fsQdodDBM329+ffObsUCIVQY4YI519YwP+HDuH99esQlsZGLO309YEovP66qDkzMADi0tsLxeR0QgFMTUGJeb0iSJivha/v9GnhtdL/VnoFe+QIgo+DQZCWnh68kkmQsNlZKKGmJqF8kkmiv/1bjMliwbVMTuKY8/PYrr0dSrbUy5gVGPgnIZERxT7P2gk4GsU+qRR0ytwcZDKVgj6pqYEsXrqUubluPmPSfs6ZU9ryFfptMu2r/dys84oR+drehuGmhclCNSTBKRZmD9AMBIjeegsTclubaFDpcuEhZYHcjwdycxMkpKcH7+vqQL4SCeE+ttnSvSNchOullzD+uTns09KCWJaREaJ//Efhdl5YIHr8mOjixfRz19RgmamrK7PCNAoQPnwYnqPtbcTe2O3Ipnr8GPucP7/7WKkU1vdrarA0FY3i2i9fxv6RSOnJjT7u4K23QAL9fvMoRwkJLWIxYUQEAqKFwl7iBrUTsNUKfeHzoSfV0BCWh194ATpgYgL7LC9DTrMtA2XLwuQAZv68oSG/BAmjfbXXacZ5xYh8nT4NA1oLk4VqSIJTrXA4MNHt7CDQzuuFEhgaSm91kOuBLIWHwOmE94VLoycSeL+ygon/hRfg4WlqwjbhMAjLoUPYn1sReDxQhJnOX1ub3pMlmUTsS3u7IFVaAuDzQdm98QaUotUKAsOZFt3dWK//4AMc2+uFQrx4Mf2exWK4hsePMfZTp4jOnoX3ZmsLn29tlb4RplHcAdfrmZsz3Xq4hATFYkS///sgFw0NCOJ/912i3/5tPLvFxg1qJ+BQCLLsckH/bWygQfH589h2fh6vDz6ATmhvh+4ZHsY5eBkmFsMrEoH+0Y7pxo3iEyTy2ddMyFQ/KJGAp9qMS2pPIAlONcPvx0THgpRMYplK2+og2wNZqkwsvx+kQlVBrjweeGtYCTmd8HxEIpicx8cxZn1Qm5aMxWIgGvG4OOapUxgjCxyXZO/rw18tAZiexvd1dVB2Lhfuld8PhRgOY51+aQnf9/aChGlTwxnsHq+tRfYVdyi+eBFxO8PDKB7IjTCz1cgo5L5r4w7m5jDutjZcX3u7uZWmRHUgFxHXfz88DHLT1QXZUhRheDQ375b5mpr8A1m13o9Ll8R5L17EX26ncuYM0be+Bb3T2grv8R/9EWS3thbLzUQwWgYHIU/cEoFI6BarFYaYxyP0ldYbnilBIhiEh1j/uYmWdn6CXLrIrEtqTyAJTjUj31YHmR5IIwtkagoxM253/h4dHsfqKmJcmFh1dcGK4jVzqxXbXLwIt/Xbb2e2DphUaKuGhsMo3c7W3toazme3Y1stAVBVKNqdHZCWujoo3Lk5KB/2cjU34xwuF+6XoogaOvrrC4VwTO6J09kJBXn0KNGFC+njzEY8Mll++n3cbniYbDaQsJoa4R0jMq/SlKhs5FvzyWhy/OEPIRvcjdtux/dvvEH0L/8l9rfZBGmYnMw/kFU7rtVVeIhtNhgnm5vphk9TE8bJumF5GTohFoPeiMfhee3oIPrwQ+gFXiofGRHb+/0gOTMzosUEI1NWVCAA/WLmLFxGLl1k1iW1J5AEp5qxV4att0CSSXgxxsbg7s3Xo5NpHIkE0Te+IdzVq6sgG7wmf/UqlMm9eyAWWjKTKeOgt1cIXUsL4miIoOy0y2PRKLZXVVHU79AhKEcu7Dc+DoJz+jTGuLICEhEKGRfeam8n+spXsG1zM45TTCBePvUwEgmxJLazg3POz4McsjIyq9KUqFxoScvyMpaYMhXPM5oc3W4sk3u9YoK3WPB8v/uueJ4VBcaB17v7GTaSHx5XJILjDw6C3Bw5Ah3Q3w85jsXgVe3qEh6ZlRXogqUl4WGy2XBtPT3QDSMj0H0rK1hu3tmBfK2tYdl6dhakSesN1+uoaBT7NDUV3lj0oFAJNd+ywHQER1GUPyOinyWieVVV+w56PBUPPcNOJMRacy4PjN4CmZuDgPf3C2WV7zKIEdMPBuEW5qUrIw/J5KRQgPrlnUzkzahDcU2NCDxkhfvoETqBc2r3xga8LZytxT2o7t0TmWhzcxjPpUu771s4THTyJOJ67t6FEn3lFRHUyChFI8xgEFbp1asY08IC7p3Dgc+z9eTJBpmVJZENWtLCNZ94SZc9nSyPRpPjuXOQp0hEkISGBtHPjZ/nlRXI7bFjghhwtiTRbvnhcamqKNMQj+PV3Iwl6WefhfGkNXyIcMxHjyBvFot43tvbRSZWYyP0SX8/iFA8DqLk9cIjxcU/tbKijwuancX92NzM3li0UBksp8xWQs23LDAdwSGiPyeiPyKivzzgcVQfCs260VsgY2PCdczYC5tfXBSBwwwunscWYCQCpcVr3dqaFUakSXuNNTVQjqOjCDI8cQLn2twEGWhsFC7siQko2ldfFYoqkSD68z9Pz0Tz+cQ6up5wRCJQzqoKy29ujuj2bdzbUjfC5MmDA7A7O2GtJhJQ6MWsh5ut+rWE+aAlLV4v5NLhEEu62snPaHIkIvrCF4jefx/PW3s7tr92TRgQbW14nmMxfDY6Kry8meLgeFyzs5DFZBLyPzEBAqbVUyxfU1OQ2eFhnHdzE+fgml1OJzw0tbWinpai4HqWl0UrlzNnRJNQPVhHEaXHQ2ZqLFqoDMZiKKcRDsMDXV9fWpndr9o8ZSJppiM4qqr+UFGUwEGPoyqhtb7yybrRe0n0wXpEe2PzuawDXuNnz8TCAsiDfq3b6BobGoi+9z3ss76O16lTeG1uYv/PfAbXHwqJYGfttXEm2vY2XkzujOrZLC7ivBsbsOaIoKgXF4k++tHMdXiMkM/SotG9S6WQyl7s75FrvV1CQvvctbXBMzI7C9IRDqdPfpkmxytXIGtshLzzDmTKZgOBmZ7Gc8wFPY8cEeUt2tpw7G99CwHCTidIgtsNA4z7xdls8OI0NYGkrK1h7ESQoytXiP7yL5FlyceYnQVx6euDHG9tYbwbG9iOvUguF44/N4fj66/bCPku9RjJYKa4x0QC5Ob+fdyX2VkQLj5OKWR2PwKJy2hYmY7gSJQR2urGd+7AcvF6hSWln8z0rPrMmeyBv4Uil3WwuQnLUF8/Z3PTeHyBgGid8PWvI0aF0+S5CrHNRvT5z6eTOA6ATqVwX7TCpc9EIzKuZ9PSIqxZBnt8YjG4xgstJJYteK8cllWFr7dL7AP0z11Hh1ie0XuBs02O/Pnt25Ctj35ULAUvLSGG5sQJkJTxcciu1yu2efgQpMrrRa8ppxOfjY2BNC0swKhoaBBeF61szM5CDx49KgyS2lokPYyOigrkwSCu0e9HTM74ODwldjvGFotBL2njA42Q71JPIXGPwaAgfXV1Intzba14mS1GF+0VZTSsKpLgKIryRSL6IhFRV64HS0JAW914ZAQTP8e4nD6dPpllK1LFvZ5YYRHlH9ejRSYFyMd79AhjnJuD6zWRgEJzOjOPr70dnz9+DEGPxaCMWlpAbgpp5mnUryoTkQgEcAy2pjiTqr5eWI5GKNZ6KYdlVeHr7QypH8qIQp+7TJMjf764iIm5vh5eG+5H5/PhPNevCyNnbg6yvLSEfXp6xHLS1BQ8rC+8ABk8dQokp70dsXSf+tTuEgup1O5CnVwv7NAhyCNnTDU3I4YnGITO9Pux7cwM9IyiZC//kK8eKSTucXERXqxwGPeD7+v8fHado0e+WXHlQhkNq4okOKqqfpmIvkxE1N/frx7wcCoH2urGHg8EsrlZ9Gqy23NP/LOzu4OW99VeMgoAACAASURBVOJeNAqC1sbQKAo+a20VVpLfn3l829v4PB6HYlIUYRVybEo+tSp4G3Zn6yuv6q/N4SB67TWxHu7zQWnrMyv04Ouor0f2RyiE36O9HQq/kHuXLzJZaWbuhVMApH7IA3uJeSilRa+d0O12kd10/ryIe+HedUtLGLfFIpZiHA4QgGQSsn7+vCjux73rTp+Gh0l77bEYzruzAwJks4nKxr29MFK++U18v7goKqY7ndBLgQCIDZMsVc3eay5fYlhI3GNLC+QzGhVFVOfmcL0+X35Gp1bfRiLwgmXKiisXymhYVSTBkSgSHFPCCsBqhQJQFLhe+/vFZLaXNeO9dC3XHo/TKXlt2WYTE+7AgPH4ZmaQebGwALITj8O6iUahGPUelVzClUiIsupcH+ftt40JnNuN5a9CJg5eUvva16AwXS4o7Pl5oi99aXeA5l5R4YW7JEoAMwWT5yLVfj+WoIigt2w2EB6rVVyL1wvvC5FoqRIOQ6ddvIjWLtoMpWvXQAS2trAU9ugRkhBqakAm2tqwP+sLRUFcEDcsvnAB22qX4qJRxAqFQvjMSP7zIYaFxD3yvSMSrW1Onyb67Gezt4LQQqtvtVlxc3OiuGK5l6jLaFiZjuAoivI6EX2MiFoURZkmot9RVfVPD3ZUVQSOKTl5UjS1HBvbrQiMJv5oFArmxo30mBc90VBVor/6KxCL1lY8rPkqUO3xWFmxEGv7P2UrohUKYd380CF4qZaXMQ6fL3OtiqkpoSTa27EtUeHrw/koMa31HIuBrK2tiSwMiwUK+8YNuNZLiVzXU+71domDRxljHgpGLlKtLRJ6/jwCkiMRkJNbtyDnRPDCKIqYJO12GGxanUaUnu3Y2IhjDg8jRu83fgNEZnAQ8TYLC6Lez9aWaDDJ8TArK9Bx2tpas7M49l6Io1YGmZBNTUFHzM8L/aS/d6yTC/l9tfrW4xFxhCsrIDj7sURdRsPKdARHVdXXDnoMVQ09W7bZhCIgSu/HYrUiCDCZxKQbi2Gb9XVU0N3exsOorcqZTCJ7KZGAVRQOixTSfBSonrjY7SAl58+n75uJ9V++DFLDmRR2O8bu8yGQUa/weAnq9ddF/yuXS3hpFhdhrU1O4jrq6qBorl8X48hXEBMJeLbeeAMk0OnEOd9/H5bixoaIC2hqwv0qNWQgscRBPwNGy2OZSLV28guFQGTa2iAnq6vQE+fOiSWoXJMkVzjnquZtbRhDOIwqy3Nz8BTNzYHYWCwY7/Y2dElzM7b97ncR5zM2BtkNh8X1dHdj23yIY66lQq1+mp+HoabVT0YGSSgE/ZetjQRDq2/b2+EB56KF+WSHlQplMqxMR3Akyoxsgb36GjkPH4q+UZEIyEtjo8hkiMcxUa+vY//aWngjJiehcOx2Edm/upqfAs3XXZmN9b/2hCOHwxiH0wmF6HSKOBqtEuGYJO3YWDG53ehN43SC8N24gev9xCd2Z1wxjJQW39/hYVH0iwietIYGKKOODpzDZsM2ly/n8YMWiCoJJJbYAwp5BvZan0S/v8+X//IJgyc/ot0ZjVNTWIriaud9fcj2nJ2FLtI2zmxpwfv5eXGuVAoem5UVHIsIBMduB5m4e1fcH48HZGZnB/J67Bi2GRyEEcTHvnULnme7PTtxzHepMJt+0h+XjaiHD0HeMrWRYBSSFVeBkASnGpGPVaBny/fuYfLlPjBbWxC8EycQ+HfvHopm3b8var04HCA1Ph/2GR4W/Z9CIYyDi+YtLOQX2Z/LXZnJ+tNCGwujzQxYXd1NShIJKKSpKSg7bqrHiokV5NYWrn92FqTN4RCp9dp4I7cbGVxcrZSVVlcXzm+zgRTymnoiAe/UW2/hOHzveWz5dB4vBFUSSCyxB+T7DBQbq5MtK+ett/Be3507H++utsxFOIyg44cPxXKKooDUOJ3wHrtconHmxYs4v8MBL8zICGR9ZgbX73KJQOepKci514v3oRD0XGMj/q6vg9jU1mLM8bjom5VMpsewZDMe8l1KKsTjFgziO59PVF83aiPBqPK4O0lwqg3FKKVEAssm8/OiOuncHP7n5SX25MzOQrh5P68X362tQaDdbqLvfx/7h8OwbGw2BL/lO4lmcldq+81o42Vee00QET0BamkxriAaDEIJvP46LLD1dShKbZExzri6cAHLSPPzuFa7HUt3nH2h7XZ88yaOz438+Hz37sH647V6ux1EZ20N9/DFF6FsW1thOZ06he/yUfyFoMoVmkQeyPcZyHcC1iJXVs7wMJ5xJinRKDwiN2/u9njqDRltmYuNDXhlBgdFYDD3j3r0SNS+YY9oPA4jIxyGrHHJCJcLBgtnLnIm5tISdFdTE5aquFig1Qpic/gwzqElH7zEE4mAFGmTIvT3KBjEMreq4hzaTuV64lKIx42rw3Nj0JUV4zYS+uehSuPuJMEpFGbv1ZNLKRmNPxgUgssFo5aWIKSnT+M4zc0Q9M1NKBZWWG1tEGhFwXZvvw1Ph6Jgu3ffJfq1XwMJ2et9CgZxrulpYZ3cvw+S8vnPi8qe2rLl4bAoFMhwuXBtb72F/blI3/g4lDEXGWPFdPMm7sm5c1BgRKK31cJCerdjm02s4bOVyplRHCytqvg+mcS2TU2ihsfZs2KcnKJaasVTxQrN1DCT7sjnGSgmVkerfxYWRB+oeByTbEMDyP7du4hv8XqJfvxjyNcrr8BLMjQE/aH3gl65guNw65SVFci4ywXd1NgI3bO+DmNkZgbe0O5ueGyiUVGcjz28t29Dli0W7M9NdRUF8setGAYHRQsWrqbc1yc8Puz9ee45bNveDs+sz5d5iY4IBDAaFUtaRsSlEK+rlgxxC5dMbSSeAkiCUwjMlF6ZCdmUUiBgPH6XS/Qx4noKNhtebKW89x4m4ZMnsaSzsIDCV9zUsauL6K//GsL37LM4x9IShLanpzTpzpnaIfAy0TvvgLA0N0PJcKl1VcVnRCAVo6P4LBiEQvB4oGDGx0VAMv+mgQAsuo0NKNNkEsepr4c16XKldwtnTxe7zYmgwGIxjFNVoczv3IECP3xYZGq4XHCtszUnY2OqB5WgO/TQTpbsceHUa/3SqZFXwuVCzJqqYvk3kRBJC4qCbd57DwSjuRmTfWcnto/FIBter/BG3LiBY/BS0cmTIuNnbQ3yzv/PzWH8S0tYOuKWDakUSM6lS8KIqa1FgPGDB8JL4/fDuHM4RFaW14tz2u2Q+d5ejOfNN4l+9CN4gQ4dwjFPnhRGlNESXVsb5DuRAKGrq8O+euLC99Xlgm5yOrN7XeUSdBokwSkExbhs9xvZ3JmZxs9pyWfOEH34IVy8qRTRz/0chJwtErZY2KLZ2QExYOFZXcVnm5tQFFxB+P33ocD2arUatUNYXwcR+8Y3oMyammAxcvwKd9bmJpk3bkB5Kgq2D4ehsG02KNStLSxJEYmMshMnoHRra2FlEuEeX7yIoLz798V42ttxb1IpnIc7Gns8mMzCYdzfjg6QJM5w2N7GOAcHEbz4lCumqkMl6A49tCUU2APi9UImrl0T5Ezb8JG9jtGoMEJSKeiC+/fxjHd2wmAIhXBPOjshCzU1eP/gASZyDr4PBiEPTieWt5aX8f+ZMyBLoRDOd/s2zm2ziXRtXib3+0F06uvxfTAovNdccXxzE2M+fBhErqkJx19cBKl6/nnsy8U+iUDoxscxvqUlvCIR6J61NVyLfomusVF4of1+GErvvotGv9rK29r7yuU2OJYm23JToTGMZiXYJYAkOIXgoNMr80E2Bp+pOJ7TCeFmYU2lIMjciK69HRYGexbsdkzCXBmY8clPEn3lK2LJyuNBb5dYDMs7e7Vate0Qmpuh2IJB/N/aCuV4757IgKitxTieeQbCPD+PsbS2QrnMz4usB7cbn/3UT0Ehaa3taBREioOp4/H01PrJyfT7/eKLuD+xGO4PK3Ku1BqNigrS7P1ZXxcpncV2Ay8ET5miO3BUgu7QgyfL69cxCT//vAjCZ3IWCKQ3fFxbw7M+PY1r8/lEs1xtpfTVVegcux0kZmcHMrWxAVnw+8Vy+cgItn/lFZxjaQlej6UleD1efhlEJBLB8Y4exTEmJ0FuTp4U5R946SsUEvV1lpdxLKcT5MbjgQ4cGxOlJrhK8aVLuK7XX8f2Dx7ge15afvAAY+Mq7Oy5WV+Hx6exEdfT1IQXe7ZsNmxz/z7GzanhfF8LKbeRK4axkryIe4QkOIWgElJsszF4/fh5ucbngyKxWECGnE4I3OYmhPHMGVxnruv+2MdQH2JpSfRIqa/HElU8LtaDi7VaOQX8L/8S6/ZcjXlnBx4QbjLncMATs7kJpcxLZMvLwuXNHhbuhqwoojDhxMRua5tIpJmeOJG+ts5WFxMaI7Jw5444jscDj5DNJr7ngO29dAPPF0+hojtwVILuMILDgTGfP58+diZnRLsbPhIJY8jjged3eBjyODGBSZ4IeiYWE8ZFPI5jsSETiUC+JyYg46mUWCJmQsBtEziu7uFDGC2NjaJujdebbkgsLOA9y3gohHGsr0MuGxpwrkOHQI64i7jNhu3m5qAzLBbRL+/sWRAWbQyQooDwHDqEbSwW4XFmIscxfceOYRsOdL5xw7iRZr7lNoxQiV7EPUISnEJg5vXNfNKnfT6sAbObNBiEgujqwgQ8NweisLkpCEM8Du9LQ0Pu63a7saz1zjuwNhoaMBanU8Sk7NVqdbuJXnoJim5qCgrp8GEoGs5IWl6G98btxhLb1hbGMTkpgqFtNtHL5cgRoo9/HII/N0f0ne/g+rVp4x4Pjnf5sjFBaGjITBC09/3QIVECfmkJis7jwXh6ejI/S6X0uDyFiu7AYWbdkQvZyJlRw8f6esjcZz8rim5arZBZjmPjuBr26igKjnnmDPRERweMj/few74tLXg+Bwfx3Hd0gBR0dWFsd++KeMCtLWFkNTdj/w8/FJ6Zs2dFbSwi/F1fh07c3gZRGRpCJuOZM/AKb21hW+5s3twM8sKG0sgIdOnKCo5BJJbvNjZwb7a2RPzPxIQgOm1t2Mfrxb1ZXoa3nYuKahtp5ltuwwiFehGrwMsrCU4hMGuKbT4WOfdUcrkg+ENDIDL/5J9A6XR3Y6lmfR2TcDiM/71ebPfJT+Z33YEABJTrQoyOCu8EUWms1lgMyq2lBce32aAgdnZEFWCXC8puehrKMBCA8rhzRwRSz89j25degqJcW4NniNPBo9HdaeNExgRhagqufLc7XRno73sohPtz7hy+e/QIivGXfgmWrtE9zfb78ngKUUKVuFxS6TCr7sgE7eTmdouGvEbkLFPDx95evIJBPPecsh0MghycO4elmOVlUXbhYx+D3pibAwlYXMTnXi+MGe5Ld/y4kL/VVZCHnh5kPC4vQ9Y7OjAep1P0k2pvB/GKRIRX1WaDDlxexvtIBDpQfdKnlUtnEIkK5KEQtuWO49EoxmyxQA5DIeGdcTigmxIJeJSbmnCM1VXcE06lb2yEDp6dxf+cVEGE8fF9LZYUF1rgsQq8vJLgFAozptjmY5HzNpzZs72NgnRDQyI9vLYWD/H0tDj29jbiaD75yfyuW2+pbm7ic5crd+nvfC0GroextQUysrgIi21zE/E2XV24hocPkdF15QqO09uL+JjxcSjAlhaR8fT4MazAx4+x3cICzsFBw9q0cT1BWF8HMeIlsfp6oQxGRtILKHZ3Qxm6XDjm2bNiKS+T4sj0+46MYDIoVAlV6nJJpcOMusMIRpObxSKa2XKQLWcZGjV81JaF4Gu+dAnPcnc3vK42G45986aoLfPoEcjAyAhIT0ODyOr0+0UmFKdVE+Gcra1iyYxIeFPOnsW2HOPGVdm1AdTRKMbu8YBo+Hz4PpXarcc6OrDf1hbGy+1ulpdxDocD5+OlLJsNOufwYVEfh3vqaYkf3+fZWZz/7Fnoo+lpXOfW1u77WigK8SJWiZdXEpxqQD4WuX4blwuT48oKFM7Dh+LB59TI5mYIdjye/4Ott1R/9VfF+Tc3M7dLKMRi8Pnw3fIylFIoBFcv19m4dUukXcfj6X1bPv1poViGhqBMQyEE8z18iHF1deFllDZOtDt99nvfAzE6eVJYmESi75S2gCJ7h7Rp5Lm8J5l+38FBKOxClVAlL5dIlB/6yc3phGy2t8NzGo2my5RRw0ejSVhL8J57DkG0IyP4/NAhyNvZs0R/8zfQB8ePi2a5NTV4nT+P5zUSwTE/+ADbcCuVQ4dEgD+XlKipwVITET5nWeNA3p0dUSdmdVVkPV25AnnW6zGHA/dgfh7jrKmBbCeTMBTHxnDelhYQsnBYLHGxnGnvBRO/69dhoB07JmrqMCl7+eXM9zVfw9DIi6iv08P7VomXVxKcakA+Frl+G84msNkQM8NBfKqKSf3wYXzG7ttCHmy9pZpICE9DKmXcw6kQi2F2FkqACEShrw+fbW1BYXL3cM5QiETEcXhsRLCwjh/H31u3cG5OIyVKTxvXKgwtQYhEcG1tbbDuamrw2doa1u71BRQXF0Go+voy/1Z6ZPp9uaaOFvkooUpbLpHYX+gnN25AabPhGSxFB3ptf6VYTATRclXxhgbI0/o6vLNWKwhQfz/RZz4DT88f/zFk3OdDmnU0irgZIhEcvbQkso+I0mVNO4ZkEtc5NgZ546a8nFSgxaVL0DN///fCi8op8tvbYiluYQFy3tAgSJq+2S+Plc9x5056tqq20XAiIUpX6HvcaQ3DoSFB8vSER/tbZTMqq8TLKwlONSAfi1y/zfi4mBxTKeEKJhLdczs68N7lKiywTW9RJJO5yUshFgOXI+dqnbztzZuiZYTFItbfObuK3cKLi1BKnALKx1AUWF76WAK9Z0NLEK5fh1Ld2oIC4+/Za6MvoOhwCHc318nJ5T3J9Pt2dcHzVIwSqpTlEon9h35y48q+dXWQG64IHAoV//ywvLNnk/u78TNus0GeOAPzwQNRRoHlizM0iTCe730PcsZxLlx5XVuTyuGAPrpxAzE+rPNYD7Be4fg5I++GwyE8Qn/xF9Clra0wOFRVnMduxzXEYjjWxgaI2cxM+lIf3+dsejwTGeEed3pv2/g4SE42T3g2o1I/lmgU4wmFxFgrwCCSBKcakI9Frt+mq0tkN7DXggNeiSBQqRSIQrbsHj20xalytUvQkpdCLAajbVMpbLu+DiussxNLbzs7UIZud7qCmJ1N7xnFvWx8PozZKJZAf895bDduwPL88ENhiR4+jP+5DDv3hamtJfqVX0n3iuVSFpl+X6LdNXjkUpPEXqGf3FIpGDyhEMgBk3/OCMpGBjKBZbitDXEmkYhov+L1Qj6GhnDM6WksISWTRF/9Kp756Wk864zWVpwzFgOpefAAfy9exFJTLIbt7t/H5H/kCI4xMgIDhZMguIBnLJbe9XxsDJmQ2i7bi4uCqG1u4n5sbEBnEokCoTMz0ENOJ7xOXi++e+cdoq9/neg3f1MkGGTS48PDxmSEe9wxuFp6Jm+bFrmMSh5LKAR9malhsYkhCU61IB+LXLtNMglFwS7cSASKrKsLyqq2Fuvh589nb9SmBfeCunsXpGF8HHE8Hg+qGXMRrfZ2QV60nYejUYyBi+lprS2tS5ZTxEMhjJe7b3OQYWsrSA0r4Wef3e1F6uuD4GsrB1+6hCJhRq7dTPD5RO2L1VWkd7rdEP5oVARgcip4Q4NQZoVYv5l+X7nUJFEMshES/UTb3Y1WBsPDICSJhKgMztZ+oRk3gQBICFdETybhdXnlFVHZd3ERhobdDlLR1iayFQ8dgsHAjX9tNsj2Sy9hTMmkaOr5+DG+Hx+HnuOO4Bsb+G5mBgTOZoPOW1xEra14XCwvz8yIgoTT0yA7Kys4Xl0dtl1bw/kaG2Fg7exAF2xu4u/t2xir2w2dUVsLPfX1rwtjK5OcZyIj6+vpNcqiURAcJmy8nZEnPJdRqV/Or8CAY0lwnlb4/SAuqRSK81mtIr26txfLUxcvGlfDzKQY2dri1EabTaSJezwgIooCpfbii7srBrMXoqMDSvXxY1hcrDQfPIDwJhLwCE1MQGm9+irOt7aGfZeXIejsOershFLUepHsdsTWTE8bu4v1yHTds7OwBldXoaw4NXVwUIxLWyCw1ARELjVJ5AutMTEykt4jSU9I9M/V4iI8E1tbolgmVwRmQlJfL4rraePeMoHTsDk4uLs7vYElx/3U1kJP3bollp7r63GOR48wntVVyNnzz0Ome3qw3doa9FtvL47j9YKQPHiAczQ3YxsOFj5yBNf2xhvY/+hRbLu4iDE+eIDteHsifFZbK3ST1Yq6WrduieuIxXDv3G7RxqGtTbS2iUSMy0wwMpGRvr50Ly573bkhKG9n9Dvkm2xQwQHHkuA8TdDXtqivx2d9fSAKNTVYTunogEByb5dsAW1axchKMBbD92trsJJWVuAm7urC/6kUvCazs8Zu15YWKKkPP4SicjrTLSDuFdXcjO3tdhGX09YGF2pTExRmVxeOsbICQqRtunn7Ns6lqigoNjmJJSk9yckWjMfZYfX1IFLr6yBxy8sYm9crCgTGYlBibPUyoaqCgloSJof2GV5e3t0jKZdF7vfDiudebz/8ISbl5mYR3B+LQf4DAWzX0ZH5eMEgxsSyTCTGoK1zxWSA//Ky98mTSBDY3sb5WZ7+238TzT6JIEdc3+vcOfytq8M9SCRwjtpa6JC1NeiIWAye7a0tUaR0ehr7+P24h3V1uD6fTxzT44F+OHpUlKWor8e99vtFLN7amlhWisfhaXr0CETx/HljwpmJjGhrDbG37fFjnCfXsnW+yQYVHHAsCc7TAqNJ2ulEnImq4jO2npJJTPjcgypTQJteMXJAMSsIpxOKgYMGOzvxisXEmrjeMqipgfUUj+NYjx6JYnuc5aUFWxJaIXS5oCATCeHC5rTvcBhjef99EJpEQmQ43b+PJbbPfz5dyLXBeMkkFN7AAJR5R4doAFpfj++IoGCjUVGpNRYj+r3fE9WU33kHHYj/9b/Gva7wgloSJof2GV5YALHZ2IA8dHXltsh5SemNN0S/ukQChMDrhYx6PCIbKRSClzYTsnkFWJbb20EMBgdxPJcLx/f58N3mJiZvvx/7zc7ie9YRW1sidoVbJLAnZX1dLG03NuI+bG+DZDgc0F9ra7hXnBl56pRoCrq8LLxIDQ0gXu3tIEtHj0L3MclaW4Mu4IQDLkS4sIBzezwgiP392eNmurpwL9bWEOSsDR3Qetu0hCeX1zgfD3AFl5WQBKeaofUMxGKik28yCYEbHsYD/jM/g4A6Zv0cN8KEhwVucFBkXnEcDNeP+af/FALsdEIBNDVBsXR1idLlDC3711sGk5Nw8XZ0wMNSUwNlw0HAekSj+JyvKZXC/nNzwkIlgjLjJaM33oCCq68XburGRvwdHCT65jdx7ckkFM/Dh7iehgbEF21s4Jree09YgcPD2J975SiKyE4LBND+4e5d0SMnmcT7b3wDn1Xg+rZEBUFLKDhzyeEQKdT5WOQWC5ZhiUSPJiYWXOelpgbEw+USZN8I2bwCPKFGIqgLY7eLLKv+fugGu130hJqbE8bB2hqWfSIR6Lz5ebx3uSCrySRIzNGjYlnL6cTnS0uIE+R6Ve3tYgmJg4Ttdpyzvh5k5uJFZG/V1IBYtbWJpSPO2uzoEDXAfuEXiP7u7+BV8npxvnfeEf23GDU1woPudoulfo73mZwEkTFCqZet8/X0mBCS4FQr9B6bO3cwKTc2IvJeO0nv7KQXtVpbA1nhiZgtMqsVAux0IiX7/n3hNv6rv4LFduEClAPH0igKCMLQECb7+nqQBQ7O1QcLb2+DhD16JNzEKysgGp/+NI6pTV1kMqZ9f/IkhN/jEevb7M4NBnH89nYopsZG3Kv5eYzF5YKLd2BAZFvwct3jxxj/oUM4Zk8Pjv9TPwWFFA4jUHlzE9f90ku4hwMDIDhEQqFzo8H330e7DC3YktWmtfPSVSKBoGv9MpeERDZoCQVnLnFLgHwqjF+7Bh1iseCZXllJD2TlvnORCGSGvba8v/Y59vnSEwWOHEk3BhwO6CN+zs+cIfr1XxeeTpbpeBzn0RoHqRTISyIhvC8+H/TS6iquNZlE4sHGhkiwaGoSLV+4iS8HODc2YkzNzdAdioLjcwsIVcXfnR0UHmxsRK0eJhpaOV5ZgSfop39adAifmcG95Po3eg/6zZvpGZ8HYQRVaKyfJDiVgGJiNLQuaSKszQ4MgGhsbECgIxHRVXd2VjzALS1QZskkLI2NDbxaW0FWPvxQNJrr6AChWF0FITh5EhM+ERTEzAzIS3s7SITFAk8Kp2Dqg4VPnyZ6800c+9lnQSxSKSiXVApK6JlnQA5Ygba1iXESierMXOxKa3GwJet04pjj48Jr5XBgnNwEjwhWmt8Pj8/DhxhvTQ0+50DLzU0sa+mVuDbNlIOeOzqgPPl3tVpxr3t6RGPPeBzj//a3RVsJTmUfGsIxGxrwG7z7LtFv/7YkORLZoV9m6OiADtCmPWfSKaxLuruFByeRwKSuKMI7srkJ8s9xOX19uw2tsTGM49gxHG9yEp+9+qpYcuH+baur8HBEo5jwtUbYiRMgR5zQwPB4cG1+P3TCO+9Ab9XWQm7HxjCOhQURNNzUhPFw6xpVhbzZ7VhOamyEPNvt2K61FTLa24tr/sQncOxoVDQOnZ0V8XV6Q3NrC7Lc1YUx+/0YF/82eg+6zYYx8XIiUcUE+R40JMExO4pteqZf425vh/BzYzdOl+S1bK2wsDIcHIQXxW6HZaMoUCrxOEjE6qpopMnr704nXrduifTpCxfg2bDbIaQDA+nkSxssHAhgCWljA9tsb4usrtpajNVuh+fixg2QnulpvGpqRLfwREJsp4XWkv3pn4bimJrCNXi9IA42G5SQ1s3O6/8bGwhuZDISiRhXc9XXrbhyBZ+NjmJfDvY8fhwkZnQU13jqFBRuMon+Vk4njr2y72DsogAAIABJREFUAmVtt8MtTgRFOzaG+/CpTxX7hJUGMlC69CjlPS10mUF77sePRZdsqxUymExC9vx+TLpcSK++HrLS3S08plo5iEbx3KsqrqmlRci+NhvTqJntjRvpWUZEomEmg5e5+PpWV+FprqkRReo4tmdrC+NubISn5NAhGG+JhCAVTU3Yt6UFKezNzen3jnWQdgzadhD6a+npgdeWycraGt5brdA/TU3Ylj3oRPh8YiJzRWaJjDAdwVEU5VUi+o9EZCWi/6yq6v91wEMqLbIpLaPvjIQ9H/ekfo3bbofC6eqCoHd345jaSZrBypCVViSCiXZmBstV0ahoejc/DyE/ckQEyV27hm0jEVzT6CjSN+12UTvj8OH08WotkldfhRcnGATh4PX2zk5sx4pqchLXODIivBqRCLxER44YWzh6S5bLoNfWYvu+PpxrdBTXybV1uNkgZ4xwJkRTk7FrX08wu7tBqEIhcU2qimM0N+Ock5NY5rt6FXFA2mwQzvzQFjcjwvtgMPNzsB+oks7DpkI57mm+ywzac9tsyJiam4N819dDb2xtYSnolVcgaxMTMIhUNT0AVi8HXOzy0SPIF2ceZeubl0zC0xKL4dxra9jvlVdE9eOaGsgPx/+EQiAxn/0sjhEOQ4f5fJCZ5ma0WuDyDhYLjsvZpZztZLVi295eNBzOlWGUTOJ3WlsTXcW119LYiHv3gx/AW/3DH4I4njqF0IHpaaKf/3l4ktiQrKsTrXTyrX4uQUQmIziKoliJ6I+J6BNENE1E7yuK8neqqg4d7MhKBL3iuHkTD/err0JJaJc0WKFxfRgt8nFPGkW+19dDkFZWhBLZ2jIWFocDnhfOTGhqgqdBVTFmh0PUxeBsA+42vLoqqvfOzOD7Dz6Acrl9GwK7uoq0TbZStBZJby/GPjQkuoQrCo5FJAILbTaQjcePRYBvczPGNjEh+j3piaPe1a1NgedAa5sNymZnB/cnlYL35tgxEWxpsYi1dj2MCOaZMyA5bjeWlqanYTUSQWHPzIiOxFz2XQuPB/dSi9XVg1d0xZJwiczIdE9HRkRZhHJ5yrTnnprCM7q2BpnjYnvt7YLcsN4yCoDVy0FdHeS6sxOEY2EB8s3NLI32mZ7G5O/3wwu6vg7ZsFpxnuPHUX5BVTHOa9cgK7290FuvvQZ5v3UL95CLfFoseDU3Y7utLcj7ygqIyM4OrsdiIfrYx4zvs1bP1tRgKY0I9+XOHfxO+oKBigID7/ZtkLxXXhG1fu7ehQd7dlYU7Ftdxb146SXcqwoK8j1omIrgENFFIhpVVXWMiEhRlK8Q0WeIqDoIDiuOpqb02JY338TD73KJvkis0CyW9EqVRJndk9kmcq6P8OjR7riXTJWKAwGQGa4qvLUFEsGtHTwekfXU2ooxsteFCN+PjkIxfvvbIpCuo0MohUuXdpMshwNEorcXx+Y18Q8/xLEuXBCK/9QpKAauRdPWBiW3vZ29h8vVq9mrAn/0oxjfwoLw1LA11dICshIOi7V2o3unJ5hNTaLZ3sQE9tVCS2rOnAEp5B5WiYTIgBsbw/1aXYUi1i/D7TcquBCYabG4KLwS7Omw2zH5sSezXJ4y7e/Jz/zJk9BVoRDG4fFg6eedd4z1FpNbvRwsLor9t7ZgwKysQBexHuKUdI6/u3sXetDjwRj8fsglt2WYn8f5UynIfk8P5EZVRXxhIADZCQZBhpaW8N7lAuFYX8f7zk7IO2dKceXm27d3N90lSl/6u30beklbbuP99/H7NTZiTPPzWGJ+4QWMf20NY6ypEZ7oe/eEodbSIuJ66uthOErkDbMRnMNENKV5P01EL+g3UhTli0T0RSKiLg66qgQsLoIYfPABLBG/X5AF7t2kBQfD7uzkrkGQayIfHoYyMIp7yVYjgZeLuE+T1QpyZreLPlYuFyyQoSEIMKdE3r0L4Y7FsK3HA+GurcU1sNv1woXdFsniIrY5ehTH3dyEsK+tQRlyqmhrK17cBmJsTFg5RIV5F7RZD3/wByL+hYkjl4f3eMTvk2kSzxXzYERgLBbRxK+3F+RvbAz3qLYW9+nyZcQwBYPmyaIyWSGwitUPWrjdRH/7t+IZXFgAuejtLb+njH9PpxOEgj3Jfj8m2mhUxOFMT0MvEOF9OIxxqqp43rVy0NGBZfJ4HB7smhp8ducO9MHRo9huehoESFXx+eoqjDOrVZSq4ABnXvLWNs/kFHi/H+f5u7/DsbgA59oaZOr4cXhb1tfxvqUF2wwPY2x1dbgPi4uZ7zPrjcVFbM9e6bk5jPH0aehbDjC2WHB8q1UUMCQSOqCxURQGbG4WMU7SYCgYZiM4eUFV1S8T0ZeJiPr7+9Ucm5sHrLQWFvCgT09DKbzyCh72+XlYSgxtXYhcwYG5JnKtVaZN/d7Zye7u7O2FFcnE6dw57L+8DOVXUwPys7MD4ayvh6K5dw+f81IWVwxlayUehwAT7T5/LIa16cFBEeh76BA8IFxUjIP02tpw/FQKxIeDBqNRED79El8yKcqiG52b76Wq4voSCaEY5+ehrPke55rEs8U8GBGYnh7h2nc4hLdHT2YOOqBYD5MVAqtY/ZALGxuYbLUoh6eMPSjXruHZ5CVtTixwuSB3o6PwhBDB48pe6Xgck/y1a8K75PPhWR8ehkwFAjhGQwPkVlGI/uEf8Pw7nfB8uFwg/BYLZD4aFUX3mpvhlY7HcaxoNL0zeSKB/W/exP7b2yAxkQhiiZaWRNG9tjYYSQ0N0Cnf/KZolksEubfZsusMosxd2JmkbG0h7oezyKxWEefHfa2ampA9GgoVXqdIYhfMRnBmiKhT877jyWfVBVZKWiFpaMADPzUFJbKwgInU58svODDXMoHWKtMuj9ls6YpIC/ZcuFxQEk4njvW5z8Ga+rM/g1ByRtGhQ8KC+fGPxVJTfT0IDwfNLSxAwTQ2whWsPT837Jyfx/mCQZEZ1dCAJSn24ni9okmmxQIL6fnnxXj0S3xcX2J4GGPd2ACp+NSndnuPmJj5fILkrK+L1HCurVPsJO5w4LzaJUV9wLk+Vfbtt80ZuFtoho5EbsRiWMZgmfF6MVEuL6dvV46Jz+GAJ2VsDPqBvYo8wT/3nCjRsLQE0jE4KDIzOSh3eFikTv/N3+Ca2NP74x/DIzkyguNYLJBXIsg7Zyx+7WuQBS6gx8vRjY2iee3lyxgbJx2wh5fJF+/Lcry0BJ3E6eNESDZgWW5vx/JbWxtkfmZGBFdn66StJ/qpFK5FW8CPszOJoN+efx5lL8JheG0+8hGRnp5vnSKJjDAbwXmfiI4ritJNIDa/TET//GCHVELEYlii4boOVise3KkpWBWvvgrrYXYWAh8MEv2H/4C6MoEAJluOqdFPiLmWCfSp3y4XrIW+PuPGePolr3hceHuIIHRHjkDZsDt3awuC6XSK2Bj+yw3+4nHs39ws+rEMD8PCOXMG42BhDwSggIaHoeA7OrDP8eOiAqnNhr/hMFzBLS3iGvRLfPPzsOg43okL+lks6RkSLS24x62tIuuDCabPtztVNBNypflyvAGRyNbibQpZWisHCk1RzjdDRyI/sDxzexMGP+vl9pRxPyitPgmFIDOrq8IYaW6GflpaEmnjXEw0EhExNPfuQT43NuClHhqCPvL7seQ7Pi6WoqxWHD8eh37hZSK/H/LY3AxScPGiuHZVhQ46ehQGUEMDZKenB8dZXhYemXgcxMNmg044fx6EamAA912beWWzQed0dODYbDhlWuLWd2HniswcNtDXh/saj4sMMp+P6AtfSNe3hdQpksgIUxEcVVW3FEX5LSL6DiFN/M9UVb1/wMMqHVhpHT0KpTU3Byvp4kUsR7C3xOWCgpmehgCGw2D6ExMQDqMOwNmWCbSeGI7M5+J7nLqtd3Nnm2CJRAr4+joU0/37GO+pUzhmKITrjESgsDjbx2oVKeYOBxTe8jKCJ3t7BbEIh6GQjh8Xbu/aWnze1ASrjT0cqRSI3/Q0FMj6uqiy2t2Nv/fugWA1NUHBPn6M8cfjopu61p0eieB+clEviwXHvHAhv0k8kSD6x38US1A2225vUa4mngcVuCvTvg8emYLUP/OZ3RmApfxNWFdMTIiMI44pcbkgj1xTxu8X5DcQgIy0t8OTsrEhimTOzIAAjYyAnKysgLBwteGVFegEbsR7+DDkZWJCXPv6Oq6/tVWQHr52Xva6cEHEAY2Pi2KE7e0Yw9YWjr+wAN3b3Axd+tZb6Av3wgt41hsaRObV9evYn8kN34dssXeZ+kJdvIi/WsLKzYWlF7QsyEhwFEX5V6qq/uF+DoaISFXVbxPRt/f7vPsCvdKy2eC54VgLbpOwsSGqhHZ04P3ioiiQZdSQLZOAEKVPVooi6klwpL+2boO+4q8WXF8iHIardnMT68Wjo8LrpCjCldzcjKWg+/dBGn7hF6Do3n0Xx+CAQXYdX78ulJ3NJgJw3W4Qu2eegcL0+VB7Z2BAdBvv7gZJun8fnzEhcTqx/l5fL66d19+50mhjI+4P38vZWaKzZ3EdHPztdOKa8rWWR0aQYcJBouvreH/0qHD5ZyORBxm4e9DeI4nsE57bXZ7fQUtsHQ785uEwJuatLeiiu3chQw0NMCjW17Fk7XCIzKeREeiV7m7RQy6ZhLzX1uI1N4fvuQWM3w8C8/Ahtj1xAh7i7W2cx2qFLC0v4z5wcLE2vlBbeX17G0TLYsG1HT+O9/390Auzs/hsawv6a2UFOq23F3qHK7sT4XMmN0S55TCRwD3Q1gXq78d3165l9sBJL2jJkc2D8yVFUX6RiL6gqurofg2oqpGLpbe0wGPjcEDgbDZMqk1NokCctpql3pIwEhB9RV2uATE4CC+Ovm4DW+pGE2w0CsFfX8dfzoJyOjFxc1+X3l4okbU1pFt7vbiWujoRkLyzA6Jhs+G1vIyxnD6Na9rexvhWVkA2XnsNY4nFEKPz3nvYb3MTYx4bw3d83tZW0Qn9wgWM//x53PvRUXwXi4H0dHen38tQCBafzwcLj4MbC7Go7t3DNWoL9XE9DyY42bw0/f0HF7gr077Ngf2e8JjYNjWBgHB7lXgcssPBwIcPY8LXtiUIBESJg/p67E8E0mGxYNKfncV+iYToE2e14ntuZeLxiFYpPh8ICJeR2NrCeT7+cegHfXzhykp6G5rjxzEGXs6uq8O5BgeFHM/NwSjixps7O6LZrz7NndP2t7ehpxIJ47jFb38bMUZc9mFgAPrx1CnRakHfQkYPWRm8JMhGcD5ORP8fEX2oKMrvENHvq6q+8phEwcimtAIBEeBmtWLSb26GxdPYiAlSu18+Fr1R9pTHA2Ly+LFQXlxdly11Fmxt0DMR3Kt9fRhLMIgxbm6KuJ6+PlhjkQjIht+P15072J9bDXz/+/CMHDsGxcXddWdn4anhpapXXxXCzQHI9++D7ExMiFTV2VmRNspxOUtL6an3HR0gFxMTUFJuN5RoR4coHHjjhsgOYQVJBAK1s5P/78weuGyfaQO/ufFeKgXCdZAua5OlfZsKlTbxFDJeLmPBXhCHQ2R7ut2oQ7WzI5aluc1LKAT5uHsXz+6JE/g/GBTFOrlH1fo6loLYm+rz4f+pKZFJ+MILIBPj49BNRNAf2urr4fDu+MJ334WempqCvuRifU6nqMg+NAQjIxzGsRYXRaPPeBzH2doCEbl0ScjhyAg8xFYrxnj/PsiOftk2GMS4nU5RPHBgAONSFHzW0JB9uddoiXhoSPTWq4TnziTISHBUVX1LUZQzRPS7RPR/EtHnFEX5QtVUFTYjHA54Kl5/HUqlvV0Ew7W0QDmwYjCKsdEqMSJ8NjmJyb+3V3QRX13FKx4HYZmYgKX23HPplvqVKxgLN6YLhUSGwssvoz7OBx9AMXHKI7uc3W54hUIh/M9Ks7cXFl5Pj4gnev99KEEu/rWwAMvH59sdFxQOiyyptTWQtMlJ3BenUwRnc7fuZBIEi/c5dgzj5xT0ujrE8iwvw9OTSuF4i4sYDy+heTy7U3QzIZHAfqGQyLziXl5cXZkIv9PQEJQZW3sWC66Ji54dhMvaZGnfpkGlxSYVOt6WFgThsxeEjxGLgcD09CB7kj0k4bDw4HCX7tFReD9PngTJmZ0VRTGtVuib2lrIw7lzorQDN62NRiEvdXUic6y/X8TxGWUwOhzQVe++C9mxWqFPtrexhG6ziVi9x49Fcb3VVZybEyQ2N/G3tRU6QJvdabdj7NqMKKNl28VF3Ae+v0tLkGu+5vb23Mu9+iVipxNjGR+H/irlc1dphL1AZA0yVlV1k4j+Z0VRvkpE/5mIbiuK8i0iSu7eVP21Mo3x6YLbLTpTh0KiaJ7fj7XuTC0GtErswQMIFTeNC4cxkdbX4/iKAsLCPaU4qJYL/7Hgzc5iYuf39fXpjeKefRb7cbZTMAgl4vXC8pqehtX3+DGUCBEU6IsvEv3Wb2HfxUUcKxIR3pa6OlGwj0gI4fXrsMjW1qAEe3txvUQgLRxvE4/DRXzuHBThu+/ifjDp6OqCouDeL9zPaWEBxK27G+PhLAePB/fM78/9+/GkEo3iPNPTGM+pU7gnXOeGSKTRj4/jd/J6cV2Zstr2SxHJgEdj6Cces8cm5TNe7XPFMWkbG3h+5+cx4XPBv7Y2PM+RCORsfBzHdrl2k5/hYeiCc+fw7HR1YXurFfqmrw/GUWMj/nLNGI8H3hq/H7LNjWX12UlEIuspEICRFoth/Mkk9M3UFN7/3M9hTO+9JzKjjhwBEUulcC3c/oLT0I8ehe6KRmH46XtKERkv27a04FhcAZqzRmtqREPiXHW49EvE4TD0l81mHH9ZLCqNsBeBfLOoHhHRB0R0joiukAHBKeWgnnpks9z1AYb6GBu3G4F+RCL25OpVFJiyWDChLi2J9guhULrC6u9PT13m4L25ORCA7W0oMq8XAhEIwHoigoJii2VuDl6b5WXRhdjhgOJiIedrTCZxLG1V3/p6KNjvfx/uYc4AW1zE9RJhG1WFsursFH2rlpehaD73OSisb30LgsvBzNGo6IOztSWaiXLDywsXoJw2N2GJFuLB4EmlsxMTAmfKnTkjgsm1MErH1SvOg1BEMuBxNyotNinXePm5ikTEMvT2Np71mRkR/Ds6Ck/k88+LHnOc/el0Yl+nM538jIzAYOHz22yI3dnagnz5fETf+AaOw0X5trchd7duQa91d2Os3/42CNLwMPbn3kzabNKlJSF3qgrZ3diAQTQwIHTe0hKe7e1tQRosFhxnextj2dlBZiVXXn/0CNfQ2bk7JpGXtbXZZN3dMLC4L188Dvlvbsa1zc5Cr2SqqaNfIo5GRfar0e9YLCqNsBeBnARHUZSfJzTArCOi31BV9U/LPiqJ/GGkxFKp9EaNdjsEamFBBLlxwbAXXoCQatPVtUHPY2NYb+Y1eSJYIw0NIu2RMwyeew5LPz4fhLGpSVhItbWYzDc28JlWOP1+Ee/Clg/X64nH4ZHy+RBsHI0Ka21uDpbj9jaEcm5ONMw7flyQm8ePsT0XTHv8GPcnmRSNPDkVXFGgnDs6UHQrW80btn61nja2EPm+d3ZCUbrd2aufMsHiVFm2UomMFdHUFKxAt7sqXcumhJljk4w8fLnGGwyCkExPC/men4du0LYL6O3Fczk4CDKuzf4MBjFRO50g9Bzs39+P483NCcNlbg7BuYEA9jt2DLI7P4+xst5yOkGGAgHorO99T3h3pqZAEJ5/Ho1rUykQmHhc1L/h4n3s7eZmwW63yODi5WmHQ2RnbW2JaulbWxjXxATuQygkKhpz4sHok9ybVCrd6Pj4x0EOb9+G/jh7Fn+5/5zPl72mjn6JOJWCbmprM/4di3k2smXKFkqcTLzMlS1NvJWI/oiIPkdI2/7vVVUN7dfAJPKEkRLjCVYLrpTMQsPLPxxwrE1XZwQCqBExOyuaznV04MXFp/RpjydOQMgHBrDN/DwefM6WIALJ0hbkY4FeXYU3ZnQUJKqvD1ZbWxsU8NISLKHJSYyf1+a/+U18xhlZ3LjuT/4EyrWmBgrabsdxrFaQICY3ViuUIHdJ56ai3d0i40kPrfU7MiJKxdfX43qvXjXulK5HICDK4u/siEDk0VERh6NXRMkkzjk2hgmDu9K//DLOKQMRywOzxiZl8vBduZJ9vOwN1cbc+P3w1rS0CC9JezueKS79oCX8gQCWcr72NdHPyevF/iyPa2vQA6dPI8aQn2nu+G2x4Pzr66KCOzfGjMVE65TmZpCx7W3E90xMwHCzWHAdKyvYr7kZ18TV0NvaxPI1Zz8RgeBYrbg3OzvYh73CvI3dju38ftEPz+0WOlbfZHRkBLooHoenij3lx46h1s7Jk7lr6mgDmwcHxbIXJ4gYPXeZSEY2728pCLvJl7myeXAeEpae/oWqqn+9T+N5ulAK5mukdHt6IKTZioT96q9i/2yTocMBBbS9jRcru81NIZSZau8sLYHk3L6Nh7+hAWM6dAgESSucWoG+dw9jOnwY33F/GYcDJIKDrl98EURpchLKiXtVcVbV9DSIDSserprMHiSnU6SwcroqKwTu0s2ZX0b3iL0qqipc61NTIiuMrd1ck6DDkV4Wn++xNg5Hr4g44+rcObjPNzYwxv/0n3APLl40naL5CUxs7eWEWWOTMnn4btzY3WaFn8PhYRCEBw+EsZFKYVmFCM/f5ctiIualJaPJj70bRJDPhgbI1DPPiNiWTJXXuQgfFzRlr2pPD57llRVszzXCeOk6kcCYiCC73D5iZka0ZXC7IVt1ddAPkQjiBltboQe56efmpuif1dyM+8UNgjkAOZEAyXG7cV9u3MD90sLlgv7igof8W3Bs48svF1ZTh5MnvF7hZdamr/O9zEYysi1DlYKwm3yZKxvBuU5Ev6mq6vx+DeapQqmYbyalS5S9SBhPNLng94uaGEQiU4KtvEAgPVaD60D84AciBocVRns7lMPJk4JM8BjdbiwdWSxQRg8firXr2lr6SV+WsTFBAogw0XOcUCol1qv53jQ2ig6+RKLCajKJ7xwOURCMs7DY48MNP40IA3tVJiexhLe5CcW1tQWrrrlZWLs+X/ZJPVccjl4RcR8ubgja1IRjcEBoPA7lbSJFQ0Smt/byghljk4w8fI8eQVbOn9/dZoV/A4sFcnXrFsjywgIm9ZYWPFfXrokif9qJTyu3S0uIN6mtBflIpUCempvxTF6+nLkkBrcxCASwDJVIgKjcvInx19WJjuLb2/h/bQ3Xw2PignydnZCJ9XUc/733cH2nTmGbkRHsu7wMz5bNhvOxt3dmBvKyvY3t2Lu7vIzxnD2L62MyyMv30SjuWyqF/bxeeKG1vwUHFX/kI/m32shEHPz+3fczG8nItQy1V8Ju8ri0bGniv7ifA3nqUErmm0npZlLEhUw02snVZkM13mgUwjk7i2WcT3863bMxPg7Bbm3FdW1uQjn09oK8cLaDdgw3b+IcV69iwuaigtyDivuycOAhW0Gcyr2yguPu7AhvU1MTXh6PsPqOHxfr9dzEkr1DFguIAS/bdXbimo0IAyu4oSFYsIcOib5V0SjeX76c373O5SrWk1iOfVpZEceIRgVh42KQJlI0RGR6a69ioX9+OJarv3931g2RKOZ36xY8JdEolnxcLhCdxkYYFiMjkIMLFzIvebz5JkgAN66srcWE/+gR+rtlgvaZvnULRITbQni9SC7gpfP1deiUpSUQBDZg5ucxTo5Nicex7/Aw9E0iAQNkchI6IpUSzYBffhkerDt3MP5Ll0B2fvADIWPJJI7JuqGpSZARnw/nGRvDvU2l8Nmzz4JcXb2K7bRBxffv47pPn85d6K8Q4pBt23x0y14Iu5nj0shkvaieKuST4VAuV34hE41WEd28KSZvRYES/fGP4X3QVudNJmFheTwi/ZPrV4RCIjhROwau2nznDu4D18IgEk31tAqWrSCuRJxKieZ+djuUJVcltdlwnpYWKDF2hScS2La2VrjD+Zjcddjlwt+urt1elbfegqLiqsjsGeJAyXzvdT6uYq0i4nvAfXy43QTfH48H+5hI0RCR6a29ioX++dF7OYnEfeb/5+bgpfH7RVmGZBIycu6cqBnFXkiG/nn2eEQMWyyG/dbX8fznWurgZ3pxEYSEjZaODsg0e5NaW0VPOO2ys9WK5/3BA5AHpxPjWViAzC8tQSZXVrDP2bPwEEUiIDdc74qzrmprsY2igHBxynswiGNrjZKJCZECToT7pKoYbzQKz6/TaRxUbLfD+MmGQohDtm3LHTdm1ri0J5AE56CQ7aHMFjTIMTTFkB5tPRlVhQBrg91CT2LI9cdnRXT7tqgQGolAka2twWLhtfZYTGQjra8jFmZzE/vMzoIc+XxYq+alJW5hwPUvLlyAktrcRKyQUQAek7/ubiija9dwDA5QrKsTrmabDRWRDx+GZdndLWp2zM+LAl9Hj4qu49vbokkmxwGoqshu4vgkruJaWyuCKhsaRM2cfCb1QmM7ePuuLlFd9dQp/D7b2zh+OGwqRUNEprf2KhaZPHyZYj24rQE/X9vbeH4WF/EcZwuO1z/PnZ0wfGIxfJ5IQAZ/+Zfz103a54KbZaoqZKihAcYTEzJVhXx6vfCKcDmGmRmQGw5yZuNoZUV4cp97DtdmsxF95zvQT1zFmL284+MgKDMz2KetTXhntDEv3/0u9FlNDeSwvh46a3oamamJBI6TT1CxEQohDtm2LXfcmFnj0p5AEpyDQraH0sjqn5pCVWEuPldo/IKWNBEhxoWLWNntYkmIUyiNjq+qIAIjIziexYLJ/fFjWEtHj4qS6LOzEHbu6Lu9DevowgV8x0s8H34I62t5GQqC60Z0d0NpJJNwBetJFwsSZzLV1mJ8KytEL70kruWZZ8S4rl/HcZuaMLa5OZx3YwOu+rNnUZtjfR0W2dgYSBJfa0tLepVhvx9WLhdCczhwTG0QdS4iq/fS5TvZOxxQ/Np4LOMFAAAgAElEQVRuxadP4zuzZlGZ3NqraBh5+DLd59FREPPlZWxbWwuP5w9+gMlcXyldCz0ZmZ0VVYi59cKnPpVesTsXmpqgA776VdETipvocjbS3By8JjU1uKaNDVGEtLNTxBmxB6euTvSeqqmB3HMtr6Eh6LzGRuiLpSUsLU1N4bibm7guVYUsWyzCQ833dnxcEK6VFVz3wgL0RjwuChQW2qhT+3vmSxxybVvuuDEzxqU9gSQ4B4VsD6WR1c+plvwQFRK/kEhgcufu252dEMrZWSi7piYInsuVfSnlzBkcZ3ERpGViAmSgtVX0d3ruOfpJawhWNtx/5bnnoLy4meRbb4EsqapQTlySfXUVlth3vyuaYepJVzCYXsejtxff370Lb5fPJ9I4iaDUuZAfX8vSEqzXnh5YbRwoWVOD4w0Pi9iaF15I7zrOEzaRKJSmTYUlyjyp+3ylCzI3qXLZBZNbe1WDXPdZ7/3r6sJz+OKLot+RUaZOMAgZ4p5p3CCXvcGpFOSJa2FxKYlsv28sRvSlL6GacSSC/VdWYJRwoUwOMOYlZfaqtreL+BtO225vhy569AjHO3wY3/3oRyAuySR0xfHjGHcggHPevYt7cPgw5LO+XiQsXLokKpCz8Xnhgljye/QIx+CAZYsFHmO3e2+EvhDZriQ9sI+QBOcgkemhNLL65+dBJLTIx93JFsfAgMiuqK3FBM+VMc+fh+Ji706m4/f2IkMgGATh4gJ+Viu+39iAQuKCXYEABLq7G8I9Pp5efp0JxNoa3nOQoKKIVE5OuUwmodQGBvDZyy8b1/F45hmRbcGl0TnosqYGhCwchvLj1NfnnsO+b7yBY3HH85ERkW3S1ITAx54ekaqpn0iMvCaZJhsjL91+BdweZKq2VMT7g2z3mb1/R44g3TkYxDNw+bJo1xAMilYIPh/6tTEZ58l6YUE0AuZsxcFBBNZ2dkLujEi79vkbGoJeaG4WWY+rq/js6FH85ZpYNTU450c+gvNzR/JI5P9n792D47qvO8/zA9APvLrxJNAgHg0+QIkPSxRpWhJFW5bpWHKcKE4y2dXsJuXMTKlma7OpTLmyu9nsJDO7O1u7lZ3N7DyyG9Ukm03GVpRy/Ehsy7Fk2rJEvcyHZIKkAIJgAyCBbjwajcazGw3c/ePLk99F8/YT/bjdOJ8qFIju2/f+utm/c7/nnN85P90aIxTCc9EoztfWhnPEYrBFc3N6vdrGxs7eW52dcGK4pHxyEu/P69WfETufbW1wZm7exPPr6zjvQw9hHF//Orbc4bk/Pa03AeZzibAvOiJw7IiV1897vpjJJtzJN9LBQR2tCYd1t9KTJ/U5rl5Nvz7C5UIod3QUE5oI4mZ8HMbN5YIBYYPi98Ob+ugjHNvdDQ9xfh6iq78fYiESweQPh3XFwtSU3qQuHtebdW5twWvc3sbruUcOE4vBICcSuC7vg7VvH7ysI0dgmH74Q23oWJRxmbjbDUHJoXq/Xy+YHh4mevzxnZ9Jphu21THlWnBbDaXawu6JxbRo4WrCN99E5NMsZqamEGltaHiwqd3Kil6kT4T5whWMiYT1xpLmBpkrK0Tf/jbm5eHDmHcrK/o3r4f5+Md124VgEDaLnYTk1hgXLuD1n/0srh8KYW1aXx+ETCik98nq78c579xBxIWbAoZCOG8gACdseVlvq9Dfr51P81objweOktmJSo708oafqbZoyPX/r1xOSgUhAqfUZPPFtPL62YvKNdxp9jju3dN7xYyP79x3Ktv1EfzYwoIOyzY3Q3wsLup9YpqaIIR4z6fNTXiNZ87guWAQ5+N9WzY2IC7W13HO2lo8FgjAOK2v4zp37uic/cYGDGEwqNu+19fjPGNjMGwrK/icFxYgbFjAuVwYr9OJqBavPeJdw7nzMXcWZhGkFMQRLyTO17CUa8HtbiJHYlStqYTPJXmM8bj19+DixQcfHxnRG+EyDQ04T2MjbAoXHtTW4t8cHU4W7ZxWDgR035lgEA7LI49ALASDmOM3buAaa2uYyxsbcDxu3sQ+c0NDWuhwtMnthgDieRWJ4PHFRQic9nbYn6kpiCqnE3bw3DmII+4ovriIaw0M4Jz8+RBh7rOd5K0dhob0hsLsZPH7zmbO5fIdEicla0TglJJcvphWXn8+6xfMN9JTpzCx7tx5cN+pdHl78+Tb2IAoGRzUzbTa2/F+2tt1y/XpaYiB7m4YPa5UWFyEgWlogMf3+c9DnFy9imZf3A6dW6gvLsJ4NTdDMBHhOu+8g7z9c8/hmJEReFTNzYj2EMEb29rS7dv374cA+v73d6aseNffrS14cgsLugTV6dRrcrh76vw8okPZhOBTGatyLbjNN3IkRtUaO34uyd+/5BTT1BR++vqQhlla0sULgYDuIs50duJm//DD+jFe/NvQoCuSeOPNcBgOCFchJkcuFxfxvNOJcwcCWEfHPWq2tyEaDhxAxDQchp2ZnMT8O3qU6C/+AuXsi4s4Z2cn5g+vJWSB09KCucyRa5cLxx08iPdjdlLMHcXr6xGt2dzEHOU2EdHog1WcLhfsD9sIbnrITQGz3fQ02+9QOdPbFYYInFKy2y9mPusXkm+k7LFY7Wxtdf7kycebXR46hAk4OamFwcAAKr3GxhA5iUT0/jR1dTh/JKKrHngdy4kT+DEMVHI0N2vBdPcuxhyJYAxsTBIJeIpERL/yKzCE+/bpTT7dbl0GSqT7YXCHZK9X5+E7OnRDMV7cPDQEQzs2hmuxGCLSLeEPHty5pYLV55XKWJVrwW2+kSMxqtbY7XOx+v5ZpZgmJ3FcT49OLW9s6PUt5u9H8j52LMaHhvDz0EOIsFy+jDmyuop5dv06KhOff16fq6MDEVPD0Nd49FHdzfzwYczN06cx9ycm4HBsbGAO1tfDcamrwzqX+npcn7cv6erC+HisfM2BAZxjbg5jeuGFne+RaGdH8akpjNPl0o0zzTbLbCfZ7gWDEJNNTTubAmaz6Wku3yHpJ5U1InBKSTm+mPneSNkLvHIFi325yyhPUt507sQJfb6REbyfzk7c1Ll/jNcLUTA9jYmfqkcL7wVj9iAdDnhyf/3XMHQeDyInDgfGxIKJm5IRwWjz1g5zc3rncW6+d/IkDGdnJwRKZyfOd/gwPNVAAGP7rd9CpOi11+Bd8i7kq6u6hbvXi9A2EYzbxYuIOHE5eqYmiqVecJtv5EiMqjVcbj03B2Hc1VW6z8UqUmh1s7RKMXFrg2T278d3I90+dsk25MQJzN2FBb1Z5eoqBEUsRvSd7+huyH6/dj64YtHlwr9bWjDO/ft1w0DuAHzvHt4T73NVW6t73HBJOK/raWmBc7K6CvFkHnu69I9ZiHR1QWCxHUnXV8rjwYLiVFHbTHMu16avLMCkn1RGROCUknKtu8j1Rmr2AicmMLF4nxinEzd13nTODO8Q3NODkG5dHYwRp4BaWyFW2NCxAeAJzKWnDgdewz10DAMihHf/bWrCjeXaNVxjagrn4ffX1ATPLhyGMZ2chPjgDT+V0ouaeT3SI4/guFhML7p8/32ip5/GNUdGIH4iEbyP3l708OGNP99/H0Zse1tHfu7dw2dmJyGQr+CVJn0PEoshbXrzJm6I3OiNq+yKfW2rSCFXOZmxSjEtLiJNzR28W1rwuo2N1N8P3sfOCu5gzmJjc1OXXnd0YM5xs9LHH8dnxs7FjRv4LnV2Iu188SLRP/7Hus0EdyCvq8Pc4vlv3tWbCPP0vfcw53ij28lJRJmysX/JQqSrC++JF06fPZu++Wa6qrV0cy7Xpq8uV/Z7Wu1xROCUkkppdBYIwPgQ6a6eoRDy4Lx5X7qW4WtrumrhzTf1LuItLfAa4/HUJageD4yx34/jBwdx0+jrw5hiMRx36xbE17FjRD/5CV539KiufOJmfnwulwtrj7h5oNOJx7lsvbcXnmJymHhmBsaJz8uiKRSCt9jbC2MaDOKm0duLxznnz63Z7SQECpHqtOt3t5QEAvgsfD7d6HFmZmd6opjXtkpr1NRkl2Liqsy+Pp26CgYxJ/P5fnR06FRyYyPmwuqq7ofT3a2blTY0IE00NQXnYnsbUaDWVt39/Ic/hBDiLRQaG5H2cjh0IUJfH67La2vGxnTTQo4257qAvqEBn2FtLUTagQMQN1xllu/aqnSfqd8PwXflil63xI5gqv/nY8d093jpJ5USETilpFzrLohyW6U/PQ0BsbkJIxQIQKTEYghDP/FE+pbh09N6/U1jIwxRIABD9q1vwZN86CHr9QHPPov1NN3d8MT8fqSAbt2CJ7a4iNe1t2th0tiI17zxBsQG78fT1oaFx4kErs9RISIYLKcT13G78XqzN0i0M/Ly2GPwQjnFduUKRNuZM7oTdHOzXifA0aE7d3ZWqxWaUlXwlPO7a1c4YtnVpdeAtLbqTtfFvrZVWsPthii4ckUL+cHBB1NM+VZlpsLv1xWR9+5BpBBhfvHNmZuVfupT+jN75RV8ZrxHnMOhIzTt7diqhd/vuXO6pcTQEOzA8rI+L9sMc+fgbBfQv/oqbAYLDI5UJ5fGF2ttFW8gmvw71f9zup3ahb/HNgJHKfUPiOhfENHDRHTGMIxL5R1RkSjHuotcVunHYnjuxg3czA0D6ZvxcRgc7mVjZcD5JshdUtlgvPMOxMHsrN6O4ehRnGtkZGcDQ6tN/s6eJXr3XYybS9L7+nCtpiaEoXlTTd49eXwcRry/H6kslws/vHHfxATG4vNhPDMzejdzq714WLyFwxBK3CuHCAZ2bQ3v5cwZeKOLixhDcrVaISl1BU85vrt2xpxa6O/HY8Gg3oesVNdmeIsTXhSrlP5dqKrMVLhcuiJyeBgCZntbb9xJtLNZqdOJz+z0aczt+nr9XhwOPNfTo9M0VtGK48cx/kAAAmlyEimup57SkdqxMThaVuKfnYP33iP68Y/hsLhcOM+tWxhbV1fu+0jlSiCAsTz2mH6MxZSkhneFbQQOEQ0T0S8S0R+XeyBVhznlNDGB1E9y9Q8RJtl3v4uS7fl53LBranQo+PBh3co9FVwVNTRE9Kd/ijx8TY3ucWMY8PAuXEC0Zt8+LRSY5Ans8RB9+cs7u67yWhwi3VKde28Q7Twv5/KJYDj7+vC3OXJ0/DiMyvCwzt+bPVoWb6OjEG9tbbhxXL6Mz6q1FWOamIDgOXwYBvLs2eJFWFKFr3P1Miuhj4sdKWfaLtW1iRDBsbpZFnuRu7ki0tzQL12z0oEBOCDhMATR2hrmNVdW+f1axDscECNctTk0BAflq1+FQ1FfD8fs1i2iX/gFnJcIcz65uZ7ZOfjwQ92LhwgR3+1t3Z6Co0LFEhbpFhmfPi2p4V1gG4FjGMZNIiLFXodQODjlRKRLQokeXAw5Oopoy/a23m6Bm3jxLr25TPLFRXhWy8swuoYBQ9HSgudCIRizmpqdE9jthvd18aK+4Xo86HlD9OBmgpubOAfvS0Okz8s7J9++jffw8MO6wdiBA/p4p1N3JuXokVUfoGgUhrqvD2O8ehXv48ABRKXCYaSlOjogbpL7jxQywlKIyiY79nGpFMqZtkt17UuX7FHtZjU+q7RYVxfRb/82UtcbG4jaHD0KJ8Hj0Xvo9fXBMdrchKP02mu6RcXiop7LHR1wqj74AIKIy8a7u3c6dWbnoKEBUdmFBZyD21jU1iKye/s2bGC+wiKTA5EuSiOp4V1hG4GTC0qpF4noRSKifg4NC6nZ2MBNno1AYyPSJxsbO48bHtb9KVwuTH4ut2xr0ztWZzPJAwEIlYcewuJdnpCJhN7Wgbspm9cH8JYS16+nv+Fy6ml1FTn9qamd3mJzMyIxX/863uepU7ju3bvw/o4dwzXMbG7iuHR9gK5exXk4dN3QgOO5uReXu3o8eE/F7JFSiPB1oaJANqKk9qGcaTura9sppZFtWowIc5fnGG/XwBvn8lYtCwuYny4XxMvyMhbncuSKCI/39MChO3gQ731xEeLo8GEdFbpyBdHWeBzffW6HwfO4ro7o05+GgCLS20PkKiyycSDM0ThOtW1twUbFYpIa3gUlFThKqdeJqNviqd81DONb2Z7HMIyXiOglIqLTp08bBRpe9eJ2I03D1QaxGETO3NzOKIlh4CceR+g4FsNN3+dDCofXvVhN8mQvZXoa51hd1eKjrg5jefhhjMe8PoVLUK9dQwTE4cAx7HmNjkJQTE/j37ytwtKS7jvD5ZMskt55B2NrbdVl7uEwzuPzEb39tu4Rktyci0kWAAcOoGqLu5t6vTCmDz2kX8M3lGL3jilEiqQK+9tUnX3IJYVYrrRZtmNMdbNOFj7xOByQ3l6Ij9lZ2JK5OW3PuOqSe1oxvECZq68aG/H6S5cQHRoeht3giOzkpN6HjlNlp07h2svLO/fry5VUDgTbM/68zp3D++Ad3g8cwPufnJRo6i4oqcAxDON8Ka8n3KenB/lqw8DEbmhArnp+HtEG9iqOHEFoN5GAYXS5IAR+5mfwmpMnU4ubZC+Fr8O78164AE/q4x+HGGhre3DxbSyGCT47i3HNzcHzGhzE4319OMfNmxhXa6tuxrW1hXNyHn1lBccuLUFYbW4ileT1wgByzxDuEVJTg0hS8vtLFgBdXRjbnTt653PuqMyl5OYbSjG96UKEr+3k8QsPkmsKsRwpjUKkOZOFz8WLujnowgLm89wcxM7TT2vH5+mnif7mbxANbm7Wa3U++UnYBt4f6+ZNjK2nR+8c7vXCdkQiOF88DhG1vY3zvPFG6orRbLFyIBwObc/MnxevD+w2xQAqPJpabioyRSXkCHt1y8uIqoyNYdIn94vo7yd68kl4F6urep2Kw5HeC7TyUjY3dd8Yn4/oC1/A30NDqTepDAQwLrPnFQ5DdO3bh/PPzUFkrK/Dw1lf13tOca+N4WEYNI5A8fof7ljM4W1eYEyke94kt29PFgBOJ0Ld3FH0yJHUXV5L4U3vNnwt/W3sTT4pxEKlNMxRGf7+R6MPRmiKkebs6MCCYk4bz85C3HDUhvtROZ1Y6zYxAVvw1FOwFbdu4XV37yLiuraGdDinl2MxvIdYDOLJ4cDiaO6ftb0Npyca1YUN+YhEKwdiYgJ2LvnzunZNF04wFR5NLTe2EThKqS8S0b8jok4i+o5S6gPDMD5X5mHZj3wqXpK9utVViJnkfhHRKBbyPvwwIi0bGzAimXbNZi8lHtf9QGprkQP3++GFORyZzzU/r9Nat27BYEUiMEo+H87PkR2XC6KisxOfideL50dHEV2JRPBYNKr3k5mdhaFwu/UeVeb3b2VIrASAVfTJqstrJSwQrIQxVgrFqEYrVwrRHJVxOLAImAhp5eQITTHG6PfDaeEGivX1iNZw9+Jjx3au1Wtuhm155hm8PhhExDYQgL3weiFkFhYw/xsbYWeGhmAjvF48XlenOzrzTufJFVi5vo9k+7G1hah08ue1uvpgk0aJpu4K2wgcwzC+QUTfKPc4bM1uQsFmr66jA5PWjNVGcmaDTZR+D5fxcR1RcblgXGprEeLl6NHmpnW5Jl8jGtU9PDY3kZ5aWcHWCaOjGOOJEzB2MzMQO6EQxE93txZXvb3wvohgLAwDY3z4YX0zv3o1O0OyWwFQCQsEK2GMdifV3Dx3jrLaBykV5UohmqMyU1N6H7e1NThH5ghNMcbocqEY4LXXHlyPd/IkjonFUkeNzp9HWnx8HM7a0hIiO6EQxAt3G+cUM6/TicW0Y1dXp7sw5xuRsrIfVgUOa2uIqE9OSjS1gNhG4AhZUKhQcDZpiVzElN+PjsQzMzr86/PhdRcvph6zuccF71R++TKO4xRVf7/ePG9mBoaut1cvCA4EtMfF62IGBrTAmZ/HmIaG4H3mkzoSASBkwmpu8tYEvCA2n7Up5UohmqMykYgeLzsg5ghNscY4NIQbPldYvfMOPl+fD+mcdFEjLlw4eRJi5fJlnKemBnalt1eny59/fucCX95yorlZt57YTUQq2X7EYg8KGf58easIt1uiqQVABE4lUahQcDZRiVzElMsFY7G9jXQS76q8sYHjzbuDm8dM9OA1Rkd17ru/H6+NxxG1qa/HcWfOWPeoOXMGv9va4CHxAsPm5p0VUoVMy0iTPIHIem7yFgI8X/JxSMqVQjRHZTgtnEggqnHtGiKsnGYp1hhdLkTA/uIvsA+V0wkbcOEC0t+Zokbm93DqFD77O3esu4tzc9JAQJeM8xpFq3Pv9n2ZP6/BQfTa4XTb2hpsqdiSXSMCp5LIFArO5WabKSqRq5jq6UH411wBEA5jDEtL1mO2ukZPD24KJ0/CK+QFwf39+HdyyWZySu2730X1g2FAKG1s4Brnzu38LAoRlZEmeQJjNTfNWxMw+TokpY4gJkdlVlchDgYG4DTU1OCmzPtuFWuMExP4aW3FNVZW0N6hrw+OS7qoUfJ7cDqx0DjV1in8HjiynNxXq1jFASMjsFNV1IvKLojAqSTShYKzudnmIoByzaunGht3801liJKvwR2IlYJIGR/XWzBkMjIuF5r7cR8djiSFw/DIXK7s3382n1WhUoZC5WP1/bfamqBSFo0mRxl4g0zuaM7zqtjf9WvXEM1oa8PfjY2ochoZIfqlX0LElxuUJjd15AiQeYuXs2dzL8oodtSsCntR2QUROJVEuok3MpL+ZptrtCGfdSqpxpbq8VQVSlx23dubuZIrFoORu3YNomhzE15me7s+pqFB977JdsPR5M/q5k2Exc1lsmKYBMbqe17IHbvLkQo1RxkuXkT/KrMzkvxdL8YYldKbhlo9NjmJfzc2PtgYLxbTW6Xs349I8ptv5l6UUWykF1XREIFTaaSaeJlutrlGG/LxYlKNLd3jqa5hVXadTCxG9OqrCFlvbupS8M5OeHfcU2JtTae6MnUU5YXL5mPdbgie8XFEiMyNucQwCYzV97wQkQA7pEKzSY8XY4zHj6Pi0dyFXSm9k3g6m5bueZ7ndlg7J72oioYInErEylPKZIDyiTaUwovZzTUCAYiO2lp0LU4kIEYCAaJvfhNlpokEjIVV75u6OuuOog0NOz+rUAhhcocDny8bSqLM6wCEvU0h5pDVjXpqCottPZ7S3KB9PlRKptrapFjp2qEhtJq4c0f3wRocxOOZNhadnoZdmJvTaTVzNJers+bmMO4XXniw0WcpKNdC8j2ACJxKI12/jXReQDnCoMUOq8/P607FsZhuAubxYK3A5ibRY49pby25983kpHVH0ZqanQ23IhF4jV6vfi03RhTDJBSb6WncjLlhXVsbGmGOjkJ4FPsGzamedFubpHOgdhMtcbmIPv9569ens2mcur55E8Jmbg5rd3p7YSPCYfzNfbuuX0dJ/5e+tHNspUoNZiOEpWIzZ0TgVBqpPKWZmfQ3W78fk/3KFdz4HQ5sw8ACqNCTJ1mIjY/DA0y3VUOudHTgfSwu4jcR3ltTEzbV6+/Xxi4ehzGcnsbjiYTeisJMQwOiPdvbWixubkLgmCvErBojCkKh4Rv1Rx/pG/XKCqqaGhvxHXW5sOt2MIg9mAo1vxi2Oem2NrESG/PzaNb51a/C2Xr00cLsU8WkS+0EAnjM59MiZmYG4tDtxvtZXsbi5EgEgu3u3Z0RJzukBhk7jaWCEIFTaWRKNaW72RqG9e9cJk+2QsgsxHhnYN4UMxQqzOT0+yFQbtyAkWtshBDx+SByOjp2vrcDB1ByeucO0lepOoqyOOT3ybuTF7NsVBCssLpR37yJ9Gp7O27YvP5sbAxRxf378V1/7rnC3PyySW8ni435eXQhVgrzpaYGzsWv/ArmIgsJK3vC73t6OnWRAb8uVWO8+XlEu7q6dIfz1lbtYF24ADunlHaSurtxTX5PxUq75YOdxlJBiMDJFruEB/NNNQUCeA+PPaYf4wlClN3kyUUImY1iKPTgppiFmJwuF4x4Xx/RX/4ljOGhQzD65k7H5vfW3o5rO514PpvW6E4n0Wc+Q5YbagpCMTHfqEMhRBuOHsX3urERx8zNoSdNSwu+65EIFt4fPIgGdrslG5uTvI4kFMIcrK1FtKm+HuLhxg1UY3HqKtme3LgB0bG8jDQc7yk3NKRtDdHO11k1xjOPmcvHg0EtlOrqkGrr64MD1t6O625s7Pzs7VIlaaexVBAicLLBTuHBfFfcp5sg/G+r58yTJzkqE4lgoV9NzYPNs8wGhlu986aYqc6fC8mC85//c7Lc8yeTYWCjbN4QdHQUn3Es9uD/txgToZSY51FfH36mpjDnQiEIn1u3cMNua9NRnbt30TqhEAInW5tjTiX99Kd6i5VIBAKHF/j6fJhrf/3XOCd3DPZ4kEIn0g0SDxxA5NQwdOSHKLNDlm7MLhfR449D4HBrioYGfIa851byZ8+Uq0rSTmOpIETgZIOdwoP5rrjPNEGymTzmXcMvX0ZUZmuL6P33YcjMGwt6PDAWwSAMh3lTzFTnz5Z0gjP5nJnet8uljaF5Q9BgEOdjwyvhYKEcpOoV9eyzRF//Oh5vbdUdu7n/k1X/mHzJx+bwmr++Pr2RbiSC+T82hmOmp/FcLIatFJxO2Baldu5/5XIhxTQwkL1DlmnMfj9EDhGuxc1Ee3p2vod0jVVLGdGXUvK8EIGTDXYLD+azsDXTBMlm8rBYiEQgbtra4F2xl5W8saDLhXUu8/PwOHlTzHB4d5MzF8GZjWFIPp/DAY8xGNTh7UL8f9slzSlUDulu1F/6Eh5/7z2iH/8YUY9YDGKCe8UUchypbI7V9/rsWaJ334UdaGuDmNm3DyXfa2t6wfLqKmwJzzXe+4n3v2ps1JHfXB2ydGM2OzUDA9Z2IdVnT1T6iL6UkueFCJxsqIbwYKYJks3kYaNw6RIiN+EwQs9dXXh8bk5/Jiw6nE6iT3+a6MknCzc5cxGc2RiG5PO1tGAxMu+cTLT7/287pTmFyiLVjZof9/txc7bqFZMNuxHe6b7XX/6y3ibh6acheq5dI1pYwGu7upBKW1iAAHm6ihIAACAASURBVHI6MW5eg0OE6kuvF4/l6pClI1vBYPXZZ+oaXyykYjNnROBkQ7WEB9NNkGwmDxuFmhqkpQ4cgJFyOiFu9u3bebxZdBRycno88FodDhi/7u70AiTTtZMFbFcX3uPmJrzhQvx/2ynNKVQXLlfqXjGZ2K3wzvS9fu65nceb55rTidTU8DDS1ydP7qyiSrdVSyGiGbnaJBaCFy7g77Y2HXGSBb+2RARONkh4UONyYUHx9jYMG6ecstlYsBApmlgMFSPBIMagFAzkE0/kL0CsBOyTT+q9p3L9/7Z6n1ZRp7o6LKqUlJWwW/J1IHYrvHNN31vNNV7sb/7uZ+NslTKaYRaChoG+RJGIXjtUaRH9PYIInGyR8KDGSvBl2lgwH0/RSigEAhBV58/rstnNTZSH5ysOCilgU73P5H2r4nFEwbq7sc5AUlZCOdjt+sJc0/f5zLVUjlEp17SZhWBbG9LXMzNwtlpbYet8PqSvxGGxDSJwikk1Lyq1EnzpDFeunmIqocD7RDmdumw2GsVPod9PPpjfp7mUfmsL12AByJUk5hJZSVkJ2VIo27Lb9YX5pO9zmWvptqbhncJLsaYteV+rEyd0y4uTJ7WDJ2vsbIUInGJRzYtKUxnXdIYrV08xlSBK3ieKyF57aqUqpb96leiRR1BVFo2i3f7AgM7hE0keX8iOQtqW3a4vLHb6PpUduHixdGvarPa1qq/HGqEzZ3C9ci08FtIiAqdYVOui0nyNa66eYipBlLxPVLEXfOf6ftOV0m9sQNCcPYvjrl7d+VrJ4wvZUEjbUgiBUsz0fSo7EAhgS4rkx9M5CPlGvQKB1Ptasd3ZTaqvmiP9Zaam3AOoWjJ1Dq5UzMbV48EkHxlBV9KREUxWK7iUNRhEBCMYTC9MOjpwwzeztoZqivPnERZub8fvYkbFkt9vd/fOjqrJmEt2YzF0mQ2F9Aan/P+f6+chCEyhbQsLlLNndcWjXUhlB/x+68c7OqzPw47K1asoS796FX+nsldmeLuMU6ew1s/jwXYTQ0M7t4bIZTyFGJeQERE4xSLfL7zdMRtXTsPMzCBqkW5ysqeYrTBJJwBKaZBzvZmY3+fUFB7r6dEN2TiClevnIQhMtdoWK1LZgbNnc3MQcnVUzPDn7XSiWODECTh2yV2P83FYdjMuISO2SVEppf6AiH6OiOJEdJuIft0wjEh5R7ULqqV3TjLmVFMwiJBtfT0me6ZNNHMJZecbOi90uDefRZguFxqW9fYipVZXh3U4VsdJZZ6QK9VqW6xIZwdysQ+7SSFl83nna6/s1iW/yrCNwCGi14jodwzDSCil/nci+h0i+u/KPKb8qdbeOebJPj2Nyd7ejsV3RIWdnPk04ir0wu58bybRKBYgrq2hpJS3sNhttZcgVKttSUUqO5CLfdhNtVi2n3c+Dks1dMm3MbYROIZhfN/057tE9MvlGkvBqEYP3TzZDQNhWy51Jirv5CzGwu58byZsuHgvKyKMpRrTCELpyde27NUFrYWoFiuGLd9L0bgyYBuBk8Q/IqJXUj2plHqRiF4kIuo330CE0sCT3e9HxCQctsfkLFa4Nx/jJoarbIh9SEE1t65IB4u6hga0mXC77RP12mvRuBJTUoGjlHqdiLotnvpdwzC+df+Y3yWiBBF9JdV5DMN4iYheIiI6ffq0UYSh2hu7eGF2m5x2Cvfa7bPZQ+x5+5CKYkQ47U6yqFtbQ5sJO83Faoz024SSChzDMM6ne14p9SUi+gIRfcYwDDFMVtjNC7PT5LRb1MROn40gVNKC1kI5cXtR1Al/j21SVEqpZ4novyWiTxmGsZbp+D1LJU/YYkeeJGoiCKmxU4QzHYV04ipJ1AkFxzYCh4j+PRG5iOg1pRQR0buGYfzT8g7JhhRywpYy1VWqyJNETQTBGrtFOFNRSCeuEKLOLksChJyxjcAxDONQucdQERTKCyt1qquSI0/VgBhpoVIinLt14szfdY8Hi4pTibpM88JuSwKEnLCNwBGypFBeWKkFh4SKy4cYaYEpRoTTDs01zWNJ/q67XHqTW7Ooy2ZeiGNW0YjAqTQK5YWVWnBUSv6/GhEjLRSLQojnZIHk8+XvxKX6rvMmt9kca54X4phVNCJwKpFCeGGlFhyVkv+vRsRIC8UinUjw+zNHdlIJpHPnsMddrk5cLt91q2MdDuyvx2P2eMQxq2BE4OxVSi04KiX/X41I9GzvUao1V6kExfQ07EumyE4qgTQzk58Tl8t3PfnYeBwb4nZ3EzU16fRWujU8gq0RgbNXKYfgkAqn8iDRs71FKddcpRIUDkd2adFCRxdz+a4nHzs2hsd56xke87Fj+Fscs4pDBM5eRgTH3kCiZ3uLUq65SiUoamqwhcvcHDaa7e62Fi6Fji6m+q4TEY2MPBjRMh+7uoq943hfPSK9Qe7Zs2InKxAROIKwFxAxu3co5ZorK0Hh8xG9/DLRRx8RdXVB5Ny7R9Tb++D1ixFdTP6uZ4po8bEdHURXr+48l6RyKxoROIIgCNVEqddcJQuKkREICZ+PaH0dz8/MELW1PShcShFdzDaiJancqkMEzl5Emr4JQvVS7hv1/DzSUl1dRKEQUSQCcTM0ZG1nih1dzDaiJancqkMEzl5Dmr4JQnVT7hu1OYLU14efYJCop6c01083HiZVREtSuVVFTbkHIJQYc7jW48Hv5WU8LghCdcA36tOn8felS0gdxWLFv7bfj4hRMIgFusFgeVM9dhuPUDIkgrPXkKZvgrA3KFe0ttwRJLuPRygZInD2GtL0TRD2BqUsF0/Gbqkeu41HKAmSotprSLg2N2IxhPYvXixdiF8QCkG6aK0g7AEkgrPXkHBt9siCbKGSkWitsMcRgbMXkXBtdpQzxC8Iu6Xc5eKCUGZE4AhCKmRBtlDJSLRW2OOIwBGEVEiIX6h0JFor7GFkkbEgpEIWZAuCIFQsEsERhFRIiF8QBKFiEYEjCOmQEL8gCEJFIikqQRAEQRCqDhE4giAIgiBUHbYROEqp/1kp9VOl1AdKqe8rpcq09awgCIIgCJWObQQOEf2BYRgfMwzjUSL6NhH9XrkHJAiCIAhCZWIbgWMYRtT0ZyMRGeUaiyAIgiAIlY2tqqiUUv+KiH6NiJaI6NNpjnuRiF4kIurv7y/N4ARBqAjEPgiCQFTiCI5S6nWl1LDFz/NERIZh/K5hGH1E9BUi+o1U5zEM4yXDME4bhnG6s7OzVMMXBKECEPsgCAJRiSM4hmGcz/LQrxDRd4no94s4HEEQBEEQqhTbrMFRSh02/fk8EX1UrrEIgiAIglDZ2GkNzv+mlDpCRNtENEFE/7TM4xEEQRAEoUKxjcAxDOOXyj0GQRAEQRCqA9ukqARBEARBEAqFCBxBEARBEKoOETiCIAiCIFQdInAEQRAEQag6ROAIgiAIglB1iMARBEEQBKHqEIEjCIIgCELVIQJHEARBEISqQwSOIAiCIAhVhwgcQRAEQRCqDtts1SAIgiBUGbEYUSBAND9P1NFB5PcTuVzlHpWwRxCBIwiCIBSeWIzo9deJlpeJGhqIpqaIxsaIzp8XkSOUBElRCYIgCIUnEIC46e4m8njwe3kZjwtCCRCBIwiCIBSe+XlEbsw0NOBxQSgBInAEQRCEwtPRQbS2tvOxtTU8LgglQASOIAiCUHj8fqLmZqJgkCgaxe/mZjwuCCVAFhkLgiAIhcflwoJirqI6ckSqqISSIgJHEARBKA4uF4TNkSPlHomwB5EUlSAIgiAIVYcIHEEQBEEQqg4ROIIgCIIgVB0icARBEARBqDpE4AiCIAiCUHUowzDKPYZdoZSaI6KJXZyig4js1lpTxpQ9dhyXHcdEZM9xZTumAcMwOnM9udiHkmHHMRHZc1x2HBORPce1K/tQ8QJntyilLhmGcbrc4zAjY8oeO47LjmMisue47DgmM3Ycn4wpe+w4LjuOicie49rtmCRFJQiCIAhC1SECRxAEQRCEqkMEDtFL5R6ABTKm7LHjuOw4JiJ7jsuOYzJjx/HJmLLHjuOy45iI7DmuXY1pz6/BEQRBEASh+pAIjiAIgiAIVYcIHEEQBEEQqg4ROIIgCIIgVB0icARBEARBqDpE4AiCIAiCUHWIwBEEQRAEoeoQgSMIgiAIQtUhAkcQBEEQhKpDBI4gCIIgCFWHCBxBEARBEKoOEThCxaCUciul/kApNaOUWldKvaOU+mQOr29VSv0bpdSkUiqmlLqrlPqzIg5ZEIQSsRv7oJRqUEr9oVLq3n3bcE0p9V8Ue8xCcakr9wAEIQf+hIh+loh+m4jGiei/JqK/U0o9YRjGB+leqJRqJaK3iMggov+RiAJE1ENEZ4s5YEEQSkbe9oGIvk5ETxBswwgR/SIR/SellDIM4z8VccxCEZHNNoWSopRyGYYRy+N1jxDRB0T0jwzD+H/vP1ZHRNeJaMQwjJ/P8Pr/h4ieI6IThmFEcx+5IAjFphz2QSn1FBG9SUS/bhjGn5ke/zYRPUZEfYZhbOU6JqH8SIpKKBpKqX+hlDKUUseVUn+nlFohor/K83Q/T0SbRPQKP2AYRoKI/pKIPqeUcqUZRyMR/RoR/UcRN4JgD+xiH4jo8fu/X016/HtE5DM9L1QYInCEUvAtInqDYIT+UClVo5Sqy+LH/P08RkR3DMNYSzr3dSJyEtGhNNc/RUT1RBRSSn3tfn5+RSn1TaXUYAHfpyAIuVNu+8DRmXjS4xxJOp7f2xLKjQgcoRT8W8Mw/lfDMC4YhvEjIvo9greV6ef3TOdoI6JFi3OHTc+nouf+7/+DYMx+noheJKKTRPQjpVRzHu9JEITCUG77MHL/d3Kk5oksXivYGFlkLJSCbyT9/RIRfTuL100X6Pos5MeJ6D837i88U0rdJqJ3iei/JKL/u0DXEgQhN8ptH75PRDeJ6N8qpX6NiD4iLDJ+4f7z2wW6jlBiROAIpWAm6e8gEc1m8TqzYVkkogGLY9i7Cls8xyzc//0Dw7Sq3jCM95RSUUIkRxCE8lBW+2AYRkIp9ctE9FUievv+wyEi+h0i+kOL8QkVgqSohFKQXKqXTwj6OhENKqUaks51lJA7H0tz/esZxicemiCUj3LbBzIM44ZhGI8S0SBhzU0faWFzMcf3I9gEieAI5SCfEPTfEtG/JKJ/QET/H9Hfl4H+Z0T0/XSlpYZh3FVKXSKiz97va8EpqieIyENEP8nrXQiCUAxKah/MGIYRuP9aBxH9xv3X3s565IKtEIEjlBzDMKYpx/y5YRhXlVKvENG/uW987hDRf0XwuHZ0HFVKjRHRhGEYnzE9/N8T0d8R0deUUv+RiDqJ6F8R8u1fzfe9CIJQWMphH5RSv0NEE/ev209oEthP0gi0ohGBI1QSv04QJf8LEbUQ0YdE9KxhGFeSjqsjolrzA4Zh/EAp9XNE9D8RFjWuEtF3iOi3DcNYL/bABUEoOnnbByJqvP/aHiKKEHrg/LJhGFNFHbFQVKSTsSAIgiAIVYcsMhYEQRAEoeoQgSMIgiAIQtUhAkcQBEEQhKpDBI4gCIIgCFVHxVdRdXR0GH6/v9zDEAShiFy+fHneMIzOXF8n9kEQqp9U9qHiBY7f76dLly6VexiCIBQRpdREPq8T+yAI1U8q+yApKkEQBEEQqg4ROIIgCIIgVB0icARBEARBqDpE4AiCIAiCUHWIwBEEQRAEoeqo+CoqQahoYjGiQIBofp6oo4PI7ydyuco9KkEQhIpHBI4glItYjOj114mWl4kaGoimpojGxojOnxeRIwiCsEskRSUI5SIQgLjp7ibyePB7eRmPC4IgCLvCVgJHKeVWSr2vlPpQKXVdKfUvyz0mQSga8/OI3JhpaMDjgiAIwq6wlcAhohgRPWMYxiNE9CgRPauUerzMYxKE4tDRQbS2tvOxtTU8LgiCIOwKWwkcA6zc/9Nx/8co45AEoXj4/UTNzUTBIFE0it/NzXhcEARB2BW2W2SslKolostEdIiI/oNhGO9ZHPMiEb1IRNTf31/aAQpCoXC5sKCYq6iOHJEqqgIg9kEQBCIiZRj2DJAopVqI6BtE9N8YhjGc6rjTp08bspmeUNVIKTkppS4bhnE619eJfRCE6ieVfbBdBIcxDCOilPohET1LRCkFjiBUNVJKLgiCkBe2WoOjlOq8H7khpVQ9EX2WiD4q76gEoYxIKbkgCEJe2ErgEJGPiH6olPopEf2EiF4zDOPbZR6TIJQPKSUXBEHIC1ulqAzD+CkRnSz3OATBNnR0IC3l8ejH1tawIFkQBEFIid0iOIIgmJFSckEQhLywVQRHEIQkpJRcEAQhL0TgCILdsCoLP3JE0lKCINgbm7W0EIEjCHZCysIFQahEbGi7ZA2OINgJKQsXBKESsaHtEoEjCHZCysIFQahEbGi7ROAIgp2QHcYFQSgnsRjRyAjRxYv4HYtl9zob2i5ZgyMIdsLvR946GIT3s7YmZeGCIJSG3ayjsaHtEoEjCHZCysIFQSgX5nU0RFhLEwzi8UxVnDa0XSJwBMFuuFxSFi4IQulJt44mG3tkM9sla3AEoZLINz8uCIKQCRuuo9kNEsERhErBhn0mBEGoImy4jmY3iMARhGJQjI6eu8mPC4IgZMKG62h2gwgcQSgULGqmp4lGR+EBeb2Fi7TsNj8uCIKQCZuto9kNsgZHEAoBp4+uXiX66COi69eJ7t4lcrsL19GzyvLjgiAIxUQEjiBkIpuFveb0USJB1NVFtL6OFBJRYTp6+v3IhweDRNEofldwflwQBJtT4UUNkqIShHRku7DXnD5qaSGam8PzS0t4bG1t9yHfcubHk9cU+XxEMzO22TVYEIQCUwVFDSJwBCEd2S7s7eiAAfB4EL25excCoLW1sJGWcuTHkw3d+DgM3aFDhV1jJAiCfaiCogYROIKQjmwX9iaXV/b2ErW1EQ0NEfX0VHaEI9nQRSJEi4v4t8dTkYZPEEpOMSori3FOpgqKGkTgCEI6zJEZxirdVGXllTtINnRLS4hIRSJEfX14rMIMnyCUlGKke7I5524EULa2z8bIImNBSEcuC3s5fXT2LH5Xg7gherB6y+uFUW1p0Y9JNZcgpMYcBfV4ClNZmemc5srOhQX8fv317BcKV0FRg0RwBCEd1RyZyZbk9JtSWFtEBMNX4d1OBaHoFCPdk3zOeJwoHCa6cEH/vZs1NFVg+0TgCEImqqjxVV5YGbrnn9dVVBVo+AShpBQj3WM+ZzxOdPky5uTDDyNaMzVFNDi48zXJoiqb6sgKtn22EjhKqT4i+nMi6iIig4heMgzj/yrvqPYoxVy8Vm3shc/KSuR5PBVr+AShpBRjjyfzOcNhCBOfj+jgQSKnEx3VJyd3po7NomoPVEfaSuAQUYKIvmwYxhWlVDMRXVZKvWYYxo1yD2xPUQX9D3JiNwJlr31WgiDkTjHSPeZzXriAyA2LGyKigQGIllSiag9UR9pK4BiGMUNEM/f/vayUuklE+4lIBE4pqYL+B1mzW4Gylz4rQRDypxipbj4nEdJSLG6IiDY3iZ59Fo9Ziao9UB1p2yoqpZSfiE4S0XsWz72olLqklLo0NzdX6qFVP+kWxFUbu61u2EufVYUg9kHYc6SqeBoaSl3ZuQeqI20pcJRSTUT010T0W4ZhRJOfNwzjJcMwThuGcbqzs7P0A6x29tKmjrsVKHvps6oQxD4Iew5OV508SdTejt+ZotDJooirIzc3iW7cIHrjDUR1fL6SvY1CYzuBo5RyEMTNVwzD+Hq5x7MnqYL+B5ZYbRy3W4FSrZ+VIAj2I93ml7n24UoWRWfOEP3Gb0DgzM0R7dsHZ+/NNytuk03GVmtwlFKKiP6EiG4ahvF/lns8e5ZCLYizU3VRqrU2587trrqhCnpFCIJQARSjoCF5XdDICFJV5jU32awptJOtN2ErgUNEZ4noV4nomlLqg/uP/Q+GYXy3jGPam+x2QZzdqotSLQaemdm9QClXnxybGhVBEEwUap6WoqAhn4aEdrP1JmwlcAzDeIuIVLnHIRSAclcXJRuV6en0E3e3Yq7UQqPY+9AIgrB7CnnztxIfdXVEV65kP8cz2YR8GhKW29anwVYCR6giyrkTrZVRWVrCvwu9cVy2Bmy3YiP59clt2N1uouFhrAN67DEsDHzzTVt6VYKwZyjkzT9ZfMTjRO+8Q+RwoKGfw0F04ADRc8/pa5vtDVFqW8XHT0/DVm5uIlWVTcrexruOi8ARikM5d6K1Miqbm7h+ITuJprpWsgEzi6C6OqL33iPa2kKPiqGhzILDSkRNTcGYEek27QsL+LdSRD/6EY7lfhY28qoEYc9QyJt/cjfkjz7S8zmRIFpdJXr7bcz5YPBBIdPfb22rRkchkPh4to+9vdml7G2867jtqqiEKqGc1UVWRsXrhZjIpYwy32sll5mzCGprI7p1C420QiGi117Lbndfq149tbVEExN4PhQiWl/HdXt68HwwSLSykn5cgiAUl0K2kUiueqqpgZjZt4+osRH2ZXsbzo1Vb69r16xt1bVrO4/v64O97OnJrhrLxpWkInCE4pBPX4ZCkcqo8ITNtoxyN9cyGzAWQcEghEhbG/pNOBzWTQWTS0Gt1g/19yMKFAzi+fV1ovp67Z11dhLNzqYflyAIxaXQN39zKfj+/bAhZpTCdayEjFLWtiqRwF5W164hkhOP5+YMldPWZ0BSVELxKFd1UTE2ttvNtTiEu7S0cwFwS4v17r7J6aj5eZy3vh6v6eqCUeI27NvbMHTHj+tW7c3NiPKU4jMQBMGabNtIZLtGz3xcYyOcnHAYx8ZiEDGnTmG+m9fqjI3hvOvrO9fXuFxIbY+MwK7MzRHdu6fTU7m8TxvuOi4CR6g+8u1Nk89C4HTX4vPxwr31daSnYjGIla4uGCezUUhe0+N2E/3kJ3h9ayvSUjU1RE8+qdfv+P0QReGwFjNtbUTPP48yeOnPIwjlI9PNPxYj+u53ie7cgRhxOokGB4k+//kHCxXMzs/SEuxIUxOcnJYWvO7pp1FgEAzC8Xnv/m5H/f06isMCJh5HKtvng31yuWAz2tqqwhkSgSNUJ2xU/H6IhkuXMntG+ZZzmg2YWdSMjuJcXi9+JxLwuFwu7PQbDj8YVUle0xMKwSgdO4bwL1c4HDyox5VOZHk8tvOqBGFPkK3DNDqKaii3G89HIvj70CGiEyf0cVYFDUQ4t8ez8xpsDy5fxvHm6G4wqNP1Fy/CPnV1wdZEIhA32RQ/VAAicITyUIoeLdEo0csvY0J3dkJMpBIthSjnNHtid+8i3Ds0RPSJT+jzffKTenffbPpQRCIQOO3t8MD4fUWTtmizaYhYEPYkmRwms/179104LT09eG1jI9JEw8M7BU6q4gmPB2ty+LojI9q++HyI8LC4iceJFheJLlzA3x6Ptjd9fboCi8dS4YjAEUpPKTpfxmIQN9evwzsJBhH9ILIWLYUo5zR7YisrMCbXr2Mx4IEDOF80qhc5W+H3Y6O7K1fwek5pJRJYBMg7/YqQEQT7ks5h4pQy2787dxDx7enRi4YNAz9mUpVjDw7qYgRz1Di5/xe3k5iZIXroIaKrV2Fv3e6qXasnAkcoPYWIlmRzjWAQ4qaxET/hMK5rJVoK0ctheBhGqa0NHtnGBsTJnTsQOHw+q+gVj3l6Gj+JBCI3Hg9ef/kyxM2tW1iL8/zzu/t8kpGux4JQODK1jzDbv5MnsbYuEIDIicWwzs4cvSHaWdBQV4eKp40NnNPrhVN18yaiNl1dD/b/WlyEuPH5kP5yOvH4sWM6qlxla/VE4AilpxidL622Zti3DxO6sRHHuFxIG1mVSmeqhspGAJi9rvZ25LQnJiBUWlvhafl82nvjBYCxGK7l9eLxkREcd+oUznHvHtJTDQ34fJTC+zKLsd1g471kBKEiYYfJ7dZrW9bXETn56U9xTFsbhEVfH9bIcCPQ+no4RENDO8/Ja2tGR4m+9z1USTY24m+fD3/X1sJ+1NRAOHm9WFDc04O01EMPaXFDlF1UuYIRgSOUnkJ3vky1NYPLBWPBZZShELyVVOHX/n6kgVZXYXAGBiBqAgHkyRMJGIqmJut9n5qaIDzW1iBwlpchRthTUwqCh5v+Xb4Mo3f3Ljyto0dxvq4uPM6GkcvJ2aOLRgvbBr0UETVBqHbMTpDHA7Hx+uuocNraQsQlGNTOVCQCJ8bpxNw3Lxb2+awdKpdLi6Lubtirri7M35kZnZK6eRPX5WopnsdXr2pxQ2SbjsPFQgSOUHoK3afG6gbNodneXoRuZ2chbl54wboHBQukpia8bmyM6PZtPPbOO/j3vn0QOSzMWADw65eWIIqmpiBatreJDh8m+tjHMA5uptXUpLsPt7XpkPP6OjyvWExXU3BaymyE0hmlfFJNNt5LRhAqglT9qzo64GStrSGa43Bg/vt8ECS3b2N+3rmDrRfa2tAC4uZNpJ+sIqrm+er1IirNDfva29HXpr//wXLvdHa3SlPUInCE0pNvn5pUpKou4NBspklrJZCuXMG/Ozu1UNrYgPGYmYEY2bcPx1y5gseOH4c3dfcu0V/+JYxHby/OHwpB7LDwikT0WOrq9OficMAgsnEiQnqLO5SmE4P5pppsvJeMIFQEVjZkZAT24+hRODaJBJ5bXUXkZmwMduTDDzH/HA4c83d/R/Tww0Q/+7OItiRvpGuufOruRgr75k3M49ZWbXfq63eWe6eyu0RVm6IWgSOUh0KWNae7QWe6RiyGVNHUFMRHVxeMCm9aGYnAaIRCMAoLC7je8DAiMp/4BAzM/DzOdeoUDFVvLyI4Xi+uEw4jRP3Zz+L39DQW/cViEGGJBDy4zk4YrSNHkC/v6dEN+6ancW63W1djmA1QvqmmUnZ+FgQ7k28kw8rJ2rdPb5fS2AgRsrYGR4fbSNTUQLi0t2v7de0a7FEoBHuUvJFucuVTby+eSyRw7u5uvYCYFy0nvyezPRgZx1m8fQAAIABJREFUqdoUtQgcofLJ9wbNEY9gEJN/dRWGh/PiREgRud0wHouLSEFxG3ReVNzTg8fM62a8XhgjXv/DYxoawk9/P9Hf/i2MW00NjEldHQxdXR1Ky598cqf3NTYGQ7S5iVx6speVb6rJ7NllElGCUK3EYkSvvko0Po455nBgse9zz+H5dMLHyslqasLcnppCmnlqCuty3n8fzs/x43BcgkHYFcbrRbo7EsE47t6FbersRFQ3HN5Z+TQ4iCjRhQvaBiQSsDfmooZU0ZkqTlHLZptC5cM36Fw3e+OIx/HjOh20sIDozOAgjBuRDh1zPp0NSksLDFF3Nx5fX4dAYOP4zDPwqDweiKBnn9XX5dLOtjasEdrawvU+/nGEoTc2dm7CGQjAsG1uYqHy5ib+Nh+TaePP5E08zbuY85YPa2t4T8vLEFHZ7HYuCHYk3ffditFRorffhrBIJPD77bdhD15/HfNhYWHnvOBr8HYsU1N6U822Nqz56+iAw/DFL2J+e70QH4YBe7W+jrnM1NQgary+ji0XJiZgH5aWEM2pq8M1jhwhOn0aEeEbNzCHx8dRmXn4MGzgzIz1zuK52I0KRiI4QuWTqq+MuaOnVSSCPRenE1Eb3pnb58M+MEQ4b28vqhYmJxF94bbmd+/CyPDrP/gAxqmjA9daXIQxczhg0AYGtDcVDuty8J4eGLRYDGPgknCzBzU9DS8wkdAipKEBYXA+JtMiwkyenFRTCdVCPuvRrl1DZMXjgZBZW8PrX3sNc8g8L6amsFZmZARRmYEBPee4csm8XcrJk/gdieAcvElmUxPSS7dvw9FxOuEsffGLEEUffojHfD7YiOVl2CGuqGTH5+5dCCKfD7bp0iU4btlEZ6o4RS0CR6hsrAzZjRtID6WqQmDMYWWnE8LC6YQx4uN4Dc+pU+iMPD4O4bKygh82CuvrCCMfOqTTU8nGziwg5uZ0OXhtra6c4m7LyYt8eYFzPI5jnU68p3ffxeZ6XEKaavG2VZ59agphbS5NnZ6u2lC1sMfIR6wrBeHB0Z6aGlQ3TU0RfeELum9NPI5oTyQCEVJfr9ffhcN6nyfGbGcSCdiNpib8TE3hmP5+zNO2NqJ/8k+QgvrjP0ZaKhzGXJ+Z0ZGd6Wm8bnoa5+OKTCLduT0QyK6AoNBFHzZCBI5gf9It/BsdhUFyOCAsursRUiZCqocotXHL1nOJxRAqbmiAgXnvPRi1p5/GmO7cwXkPHUKkx3xNs7Gbn9cdSEMhGK6uLt3ciw1YMPjgONxuhLQXFnBMPK7L1s3vK9Xi7WRPLh5HRGh8HIIuua07I9VUQiWSz7qS48eJfvADzEuPB/M0Hsd8u3QJc4EjvUtLsDf19bpLeiiEx5Kv4fejud/3vgfna34ec5df4/EgVXX0KByitjbYgtpaPNfbi3l/7x4EzZkzOoW8tITHeJ3gwgLG5/PBTvX16Q16vd7UNq5K97ITgSPYm3ShZiIYjdlZrIeZm4MR2NrSe7owZuNmFkzmDSxTeS7sDfb1QWQcPIjHlYKICgbhRXHFlNU1iWCsvvUtCJrlZYizmzeJfu7ntGEbGoIoSh5HTw+MoNOJMHpjI67v82UXYUn25Hgx9OnTeCy5rXuVhaqFPUY+rQ+GhrAObnMTcyAaReppaAhiZGYGtmduDtGX+nr83d0NgRGJwO4kXyMWQ/p6chJR3uVlPYcHBmAPGhrgqG1swBZwRDkWwziamnBul4vo0UfxPM/ZujqInOVl2CFObc3OYt1fQwNEjmHgWLZ5ewAROIK9SRdqJoKXw14Ue1Ic3TBj3gcqWTA1Nz+YvjKLoMlJLZi4QzIRDFpfH86zuqqrq6yuGQjA45qbgxGqqYEoW1jAGD772Z09K5Lx+2H4ePPQWAzvu7k5u8WAydGq8XEd8WKSewflGqqu0mZhQgWSz7oSl4voc5/D3FAK88DtRoT26af1NizHjxN9+9t64e/iIo5/4okHrxGLEb3yChyZ2lqknGprcY1EQm+VUFuLc1y/jus++STsgjli1NBA9MgjOzsRe7247jvvwGnp70e6ansbNnBtTXc87u5GlPn6ddi0KuhzkwkROELulPJGlmnTup4eLLCbmtIRlH374IlZGTcrwZS8FsXnQ0qKRRCXcp4/rzuHEumdvdfWIE4uXdLNvZqbEZExl2lOT8PwrK1hLB6PXizodKYWWPwZv/AC1gEFg9prXFvT+fh0/w/JefYzZ/Dbqm17PqFq2c9KsBP5ritxOjFvuWNwba2OCDc2ojrpm99E9NXjwRyMxzHfH3qI6Ny5nds18Dq5tTU4QV4vxsFVkHV12kkLh/Ec27vmZjzW0oJxOZ0P2kKesw4H7M7WFqLYXEI+OgohZRg4hqO1e6R4wHYCRyn1p0T0BSKaNQzjeLnHIyRR6htZulBzPI4uwi4XjMDiIgzGr/4qDNHFi7qXy9mzeO2VKyi7jMe1yBkdxU9Pj27M1deny8SPH4dBGB6Gh7SxgccbGvC4y4UxclXT7CyEzNGj8PSCQZwjHkczv6YmvJ+uLhiw7u6daaZ0n/GXvqT71YyO4nnOx2f6fzDn2c09gIq1XcYeMaKCTclnXUk0iuadS0tYw1JXh/nKC3ZffRXRmLY2RGEjEXzXDx6E2DE7RhcvYo7W1iJS294O2zE9DdHR24tzu92Y/y4XbM7iItFbbxE99ZQe05Ej2vFKNWdDIYzrzh2IHIcD45+fh4Bih4xozxQP2E7gENGfEdG/J6I/L/M4BCtKfSNLF2oeHcUxvL9Lc7MWH2xo9u+HsfrBD/Qu3PPzOM+9e1pkuN14zuWCWAgGdS7c6YTRi8VgZH71V3GNaBRGLx5H2JcXGB88CPGwtgajMz0NUTU0pJsBNjbqbRmS00yZPmP+nEMhHBOPw9BeugSj+8wzmcVmKbbL2CNGVKgi2KE6cADzPxSCnVEKduHWLURJJibw/a6vR3Tk5k3YmeZmCAml0LNmeRnrbAwDdowXA3d14bXLyxA/fX147K23EOk5fx42pbkZUaGZGaSZUq0ZZDs5PAzniiOzXV14nK/J7JHiAdsJHMMwfqyU8pd7HEIKCnUjyzbNZXUj5p1233pLe0Ec/m1o0AYpeW8pbtY3MgKh4XRC5BDp0DQRjM3EBAxaQ4Mu+z5zxvo9Xry48zMJhRCCHh+H97a5ie6lY2PIoc/O4ueRR3BN84Z42X7GfMzqqq78cLvRmGx7O7uIWqm2yxAEu5HK/iQ7VLztCrdv8Pnw77U1zDmfDxGX9nZ8/7ndw/IyUtmRCGzMwADswMoK9plyOhFdcbvx/NKSLkFvbIRN6+7GOV9+Wdu2VGsG2U5GozjHiROwWaurKCTg8e6x4gHbCZxsUEq9SEQvEhH176EV4bYg3xtZLAbhMTyMiR6NYtJ6vRACP/pR6goiq9TK8jKeGxuDkeHtFaamIB42N3UayunUO4T39+tUVCSCvDlXHhDhdcvL8JguXEDFwq1bKBV9/vnsPpNIBAbL7UbXY057ra/jcY6wdHZi3Nm0fU/+jDs68LldvQpD3dqK6zQ06A7HpRQXNmoWJvZBSEumNHuyQzU9jXRVa6uuNDQMOBLhsN5+JRjEeRwOvD4SwbV4/U0sBuFx4gTs3+AgbOKBA7AVy8uwT62turMwCyVzJWaqiLnLhapOs3NHhOPNWztUUZ+bTFSkwDEM4yUieomI6PTp00aZh7O3yOdGFosRffe7WOnPvVzm5hAROXkSi4RnZhD6DYXSryUxp2/a2mBEuHyzuRm/Gxt3pqFOncJx3N+iqQle2Y0bOCeXWe7bh1Dz8rLuTRGJID3lcOA6ZtGR6jPZ3MR75hLQfft0c6/WVpxvYwPntxIhfL6pKW3gursh5MzH/OhHqIbga7a3a0NZ6tSQjZqFiX0QHsAcsYlGYQuSe1axaEh2qMbHYUficcznlRW9TUNnJ1JSjY2wX/zc+jrmODf083ph99xuOFhNTTgX//T04DU1NTgPF0zMzT1YEZouYp7KPnOF5h6LqFakwBHKSD43skAAC9/cboiSWAweTTAIkbG+jvzw1hZu5OnW9JjTN7xFwu3b+JvXsfAOvLzHywcfILqhlF4TMzuLsWxuwtDNzWmjUFMDQ9XaivMZhnUDL/Nncu6cXtR86BDOMT4O48WvP3BAb+0QDqc2Ni4XxN8f/RFSZX19EFhvvqmFn8sFozU9DZHT3Q2BE4vhvZRjH5kqbRYmVDjJEZurV2Frurr0WpW6OqSxufqJSFch8Rq/4WG9zUp9PcRNVxccn0QC52puht2IRHBMTQ1eX1sLB2VrCzZncVGv6WO7dOgQnD0iXcDQ3Z26csoKGzkadkAEjpA7ud7I5ufh/fAka2zE781N3KA7OzHZvV4ct7iI9BBR5vSN0wmDcvIkrrO5qYUPi5maGlQxLS7iNXfv4pwdHTA+q6sIDRsGDNXYmA4pLy9j/cxTT1k38AoEdlY07d8PA7R/P4zmwgJeNzGh+15MTaUv747FiL7+dbz24EH8HQrp0DePo6cHRtHthpjj444dyz41JL1rhGonedH+4CAW5IdCcB7icczx7m7MsW99C3O1vh7zuq8PDszhw+hp09GBKCzvDcWLh9vb4WyFQno9DW/UW3f/VvuZzxB9+tNoUFpbC7sTjUL4KAU7s38/oj/mlhW59vMRR4OIbChwlFIvE9HTRNShlLpLRL9vGMaflHdUwq7o6MCEj0QgbriU0bw5nM+Hxy9fhkd08CDRd76Dif/MM3h9NAph43KlnvDmvaU48mEY+Ht0FNesr8fPvXu6LXoohPMdOABDV1eHmz9vabC8DAHm8+H8Zq9wcRGpLZ8PHh2HvJ94ApGiQACNwvbvx3vgKFSq8u5AAK/v6trZwHBlxXqTPCI8NzsLcfPCC9mJFOldI+wFkhftd3frtX9er55DQ0OoXJqZgXPBm+QGAnj+2Wcxv2Zm4FwQwU40N8NJW1nBv6NRncLi9X28HUs8jtT1b/4mzhsI4JqJBATP0hJ+m+egRGTyxnYCxzCMF8o9BqHA+P3wmt55B6LCMHCzHxyEVxQI6BvszAxEx/i4bi9+4wYMyCc+gWPcbhgaq1LJmzcRat7chIE6cABi6fp1HdXZ3oaA2L9fh4q3tyF+rlyB8WIRNT4OT00piIHLl4m+/GWM02rjTA4rz87C8zp4EF4ab4HQ36/Lu4msFw3Oz+P9BoM62lVbi8+hpWVnpMVs/HKNwCR7tsUo+ZcIkVBuOOrrduuuwNyYr70dIsTnQxn2yAgcsYUF2B7uTj43p+dtNIp/Ly/D3mxv4xrsSHHrhvp6/G0Y+Pvnfx7p5JdfRj8rXke3sKA3yORqLfMclIhM3thO4AhViMtF9PnPI50yPIwJf+KEXvjGFVZf+xrSSbdv6x4zMzO6GmptDVGZYBCGg5v3xWIwTBMTOo/ucOBnYwPGY34ex7S0QExtbenNLxsadKRkYgLHdXXpDqNOJ0TP/v2I5rzyCjwuIoixlhakmzY2EPquq8MYeX+a1VUc9+1v4z08/DAMLIuX5EWDHR14fmkJkZvaWpy3qwvvKTnqk6/xK3bvGokQCaXGSlD7/XAOXn8dtscwYGe2t1FC3dGBaPH6Oub5vXv4N6evIxEcMzqKKqX9+4l++EPM8URCb5zZ2wu7tbysI8jb27iWYehUuHmrGatIbTmKBKoUEThCYb3sVOdyuXSJpBWTkwgXT03h3y6X3ljS4YDBMe/9ZN448/XX4VG99hoiLh0dEBcOB57/kz/BuffvR669vp7oU5/C8evrEE9LSxAonDryenWZJ6/HmZ5GJOjWLYiUcBjjOH4cRjEUQrSH96b5+Mfh/b3zDoSTUjB0d+7g71/+ZRjEO3ewqJh7aJhTT8vLMM5dXUS/8AtY7EhUmEhLsXvXlCJCJAhMOkHd349S740NREfb27EhpcsFR2lrC3MxkUD0dWkJqaREAnMukYD4+fznIXRCITzOe1YFAnisvR32gfeBikYxNrcbx3B15fQ07Nu+fXDinE7Yjfl52JVz5/R7kgho3ojA2esU0svO9lzJkzYex2uOH9eLdSMRGIHmZoiCSGTn3k+Dg4i0XL6MRcP37uF4vonW1SFitLQED6qxEWkr3gmcG2fNzMAI8W7gW1u4DufRa2thfN59F8ZrclJHhHhx4saG7kacSOCGvrEBg8dl7xsbEGcdHTCg4+OIBHGZ6fw8PjurXhwtLXiMxQ1RYSItxe5dI92NhVJiFtTxONJKb72FqHEoBDvS2opUFBGExvvvw4l66imil16CnWlqwnk++ghztrMTc+ODD2Cf5udhWzo7IWYcDgiV6WndrmFqCo9xX621NdgSth2jo4ge8R5109NwvGIxjP/2bYzPvPWDREBzRgTOXqeQXnY25zKLIIcDXtXt23i+rQ2RDG6iVVuLPPkHH+jU0tQURMs3v4nISjiMHPbiIl6/ugpBsrGhoy/c22JmBkaJSDfkYnHV14fXNTXhMaeT6GMfQ3RlZkaHmGtqIFJWViCWuA/P6dMwetzsq7lZi5+lJXh6kQiEWX093kc0Co+Qy1VTfe6trTCK7e36sUJEWopdUirdjYVSwoJ6ZYXo+99HtJUI8zEW01WTXBq+sgKnanlZz1PD0H2slNL7SLW24pivfAXfYV48vLaGxw0D9sDrxZz62tcQHe7vh6BaXkb0mlPjly8jiruxgetxlPjYMaKf+Rmc/+JFiYDuEhE4e53deNnJkZjp6Z3nWl3FIrxLl1AeefasXpzLFVPRKB67dQvn+uQncZOtq8M5a2pQvfD447oCKRrFWhulEDFZXNTVUSxalIIHNzCA527dgkBYXcVr3n1X965wu3Hs4CBu7isrWhg98gjOtbSEa7vd2gDeugVRwxGbkRFEipxO/Lu7G8dyFKmlBeflklG/H6KHCCKHP3e/f2ckbGlJp6y83sJGWoq5gNFG3Y2FPYC5u/dHH8FJ4p20W1rw/bt1S0dznU7dqmJyEs7P5CTsi8sFe0KEuc7l3pOTcMi4GajXi+jxJz9J9NxzmPOXLqGgYXUV1+K5NTaGa7lcED0rK3hdWxts1OamdnYaGmAP9+/f+R4lApoTInD2OrvZeiE5HbW0hH97PJjcf/VXuLkNDmIX3nffhchpaEDImAVLTQ1ExPXrEAqnT2PSJ2/dMDKC101NwQh0duoqqOVlXL+jA0YmHIag6exEOJjLOe/cwfiVwmPt7bgW7yh++DC8rJoaXJtTaFeuwPhEIhiDx4OxRiIY3717MKhK4fUdHbqPxeAg0Y9/jPHFYhiH0wmDGY1CXN29i0WKR45YR8L4/8rjKU+paD5rAaTpmFBszN9LjwdzbHISc3F1FRGY2lr8m6O06+sQHi4XXru+jjn44Yd43uXC3FxagoDp6YHY4YXHSsE2cQNPw4AjNDBA9K//NWxSczPmcCKB6qk33sBrW1v1XlYOBxxApWATlUJKbWEBkSW/H8dKBDRvRODsdfL1sq1uwrxPSzCIictl0YcOQUyMjyMs29wMYbC+juMTCQgNhwN/+3x6vyazAZuc1AaGcTp3tkE/dgzipKsL5xkeJvriF3EsG7k7d/BeYzE8zvtjcTi6owMGjHvh8EJDtxs/s7MQMT098Azb2rDoOBTC+9rcxHteW8Pn09uL6771Fo4/dkxfa31dp8+amyGm3noL42pr0+F0rxefMVeOlZLdrNOSEleh0Fg12OQCheVlpIp+/GOIHE5bs706fBj2gcu4EwnM5a0tPM/bIni9eF1Dgy4Xb2pC1KWuDgKpvh6/3W6k2i9eRPTo0Ucxzzs79TYPW1sQPtEo7CKnv7izMUdwfD44evE40e//PtLc5YyAVvgiZxE4e518vWyr1JbXi5t5Tw/CtIODWtwkEpi0169DDKyv68V1Tqde2OvzwWCwuDHfWGdmMNkPHkSoeXERosft1n11eCdd7mx88uRODygahYGbnITouHUL53a7YZAOHsRYubfF6ioEycc+higOp8E6OvA4Nw3jstC+PlyjuRkGjI1TSwsa8J0/j89mYQGfczCIcTY1IWzN+92MjeHx/fsxhs1NvD8zpTI+Ug0l5EqxvptmmxAOIxVlbrA5PY055PXCEZmfRxRkfR1zcHZWp4tjMdgUs5iJRjH/trfxeG2tjgRvbcE2bG7i+akp2LvRUQgdFjBvvIFIzf79uMZPfgLRc+WK7vnV1gbhE4ng3DU1+Iz27dMNBsPh8kZAq6DNgwgcIT8vO11q68gRrLl59VUtbkZGICoef1xvDslh2f5+GAxeRLuxgd/JN9bjx3UzrMFBiKWamp3dh+fm4GVdv74zZWYe46c/TfQ3f4Pxb2zgHE1NWODMC5QXF3VzwatX8fzFi3j95iYM5eQkyjknJqw/B7//QeNEBCN49SreAxu6qSkYtkhEb7j3ve/BcA8M4LmxsZ29g0plfKQaSsiFYn43zTaBG2xGoyhE4DUzN27ovZ8mJ2F/Dh/GY5EIvreJBObe4CDEzdISzlNbCztSU4NjBgaIvvAF2JgLFyCMpqZgX5qbEaleX4dN8XrREmJzE3N6chJjWl3V63EMA9dpaNCiaX0dtu34cczzcBjvj+dXuSKgVeDYiMARQK4eV6bU1tmzWHMzPg6Pihfx9fToNA6LnfV1GJuGBhgYtxvnsLqx7t8PA/DwwzA2m5sQSIkExm/etHNtDdcfH4dn1NSE6xw/DoN38SJCy+yRbWzoUHJ3N8bB75ObBC4sQJQdOYLXvP8+DOLICN5fczOuwZ+f2ThFo+hievcu3tvsLAyeUnpR48IC3ofbrT8bpdC3Z3lZG5dSGh+phhJyIdtqynT2JtXzZpvg9SICc/cuzu/36012fT68rq0N311OUzG8+N/rhZi5d09XQ/GYm5own3lX8N/8TYgcrnzi7RgCAd0peXUV1+cGf/E47Ibbjc9kaAjH19URHT2Ka927p6s3l5dhB9xu2IuLF8uXGqoCx0YEjpDZ40plbFKFTzn0e/YsohvXr2PhcF0dJrPLpZvh8eNsbLhxFtHOGyv3nBkZgVjhtI7Hg7TQtWv62rxp5507ulLq0iUIoWef1Y0Hn3sOa33+7M+IfvpTHUHx+yGCeMuG8+dhbKan4dENDuLYpSUIpEcfxZhmZyHQnn0WYetr1/B+jh/H615+GZ9FV5cuOw2HIdpWVvBea2rwmFIw0keO6E07uV/OkSOlNT5SDSXkQqbvZjb2JtXzZpvQ3Y3IzewsHJabNyEweLHxyoqOoLCj1dCAeVdXhznMrSPYlszP68XDQ0M4B3cW5qpHXnjc3k70gx9gvAsLOH9jo664GhjQEZutLZzL5ULavrZWp5z/4T+E/eFtXtxu2E2HA0KqXKmhKnBsROAI6T2u5JLl5MmWHD5NNk7NzYi2sMFpa9PHNTXpVNXAgK4u4F22fT59Y52dhZhobMT4IhHdi4Yb+/Gmnd3d+jWxmN6p98MPif7oj4j+2T/Tk9blwtoYIrzmyBEd6eEbuMuFFu2joxAmDgcen52FMaqvx3t8+GF8Pq+8ois5lEI6amDAui17UxN+ezy6kWBtrY4otbbCcC4tQaiZt3MolfGRaighFzJ9NzNFeMzP83f/0iWI/7Nnd4rtxkakj5qaMGe4iGB9Ha91u/U+c0rB3hiGLhwwDMxnjr60t+vtWzY24FTMzWGMr78OQcStKni9T329XojMTT9bW2EPJiZ0f51Dh+DYLSzoz+bIEdgWti/XruEajY26ZLxcqaEqcGxE4AjpPS6iB43R1BRCtR7Pg+FTK+O1uan7uHBDq/p6GKb2dnhD09M6lPz++3qjzGeewYT/6lfhaR09CgNkznNz6Wd7O4zCxgYWD09N6QZ77D1tbenN7njMHg/+Thcy9/vxnjgCw9VVXi9+mJUVLHxsa9NiLhyGd9nejtfxHlQul94eIh7HgsWVFZx3aAjvMRyGcOP+Oj6fHk8pjY9UQwnZkum7mSnCMz0NITA9jfST2415zF2Hz53TQuPJJ/E7EsE1XC69O3dXF2zF4KDeVsXp1FGdaBT9anhfOe6TxT2v2Dl6/PGd3dZXV3ENLnDgfe9qavQmv52dmLfsDBkG5jC3q2hrw1w2R60mJ/U5uBngqVO6L06pU0NV4NiIwBHSe1zJxigeh3gYH8dkf+89GIFnn8VN2Xx8PA4jNz2NaygF4+L16l41PT24TjwOb4crqFZXid5+GxGaEyfQ0XhtTYub0VGcd24Ov2trcX02pv39CPvOzeloErdhv3v3QW8o0w2cIz0vv4z35PPhXPPzWswRIarjcmE8oZDufsyVGQ0NeN8uF54/dgxpOu6T8dnPQrjNzSHsfuMGRNAjj+C1b75pvZ1DBRofoUrJ9N1MTj2HQrAnZ85AdIyOwiGorYVN4ComFioXL2rn6sQJpImuX8ex3MSPz/vUU3AaZmfx2MaGjqzyjuJtbXh9NIofbhTKLSmiUXRGHhqC2Ni/HzaAnay+PrzeMDDmpSWM5cwZbd9u337Q9p08ae0YxuOwY+vreA99feVLDVW4YyMCR8jscZnFD/d6eeQRGKL1dfy89ho8kP5+veCOF/ytrWGNyuoqhIHXiwluvsa1a7pvBREM1d27ePzECYipq1f1brsLCzieW6qvr+P4piYsyCXC5AwGYagMQ1dv1dTsXA+Q7eLq5EiPx4PPLRzWnxtXc127BmPICxgdDnhjHP2ZnYW4eeEFPU4WYry3jduNiNXx47ofjjlUXeHGR6hi0n032d5MTcFZ4nUt8/NwIBwO2ImREcyHhQXYivZ2Xbhw8iRef+MGIjDNzRAi778Pe9DYiLn35pt4XTSKCOnsLGzA/v1En/ucFiSHD2Mec0qosxPjbG3VTURZbK2uQrgkErA7Cws4JxFETHc3HgsGiX7913FuXmTMDk5ytNXsGHZ3w2aEw3DeuGy8glJDdkEEjpDe40oWP+PjejEwVz+truKUKn9hAAAgAElEQVQ8IyO6ed3kJCZofT2MwqOPQhxZdePlRcksBDweGCRej8IVER//OIza3Bxy47W1EC4eD65ZV4e/h4chCra3cf2VFV322dOje9zkU86abLi5KoI/N5+P6M//XG8JEQrh9759GMvmJrzGp57C669dw1jMYXf+bC5dgoFlcUNUcVUMgvAAbG8uXIA9OX0aN3WnE5HMzk44AzU1mMu8m/fwMATKgQMQG14vbAQRjm1u1seurGDOBYN6gX59PWzExgZeu72N57kn1oEDsAnRKGwWN/1zuTC2ra2d6/2IYNd+9CPYELcbr1tf1+sE33gDr7Ga32YbY45qOZ14/8PD+FxOnpTobJ6IwBFAKo8rWfycOaNz3jzhVldhRAxD74p77x4W1h44oBfLWXXjZZGxtYV/37wJA9PYiOvU1RH98IfwgpqbkcLx+WAsZmd1pRTv7s2VB0QwagcPQhCFw3oTz+5u3aNmt6XWVp/bsWO4zs2b+H3woC459XphzCYnrYWV+TxVUMUg7DGyiYjyMYEAxAyLGyLM2Zs3YQ9aWjBnZ2cxT957D3PZ68Wcn5vDPGppwRzZ2oIoicWwhqe9Hcd5PIg437mD+cPrAhcW8JjDAedsYgK2a3kZY+jvx3MrKxhHfz+u3dqqo8Dvvgubx2vnbt+G09fRgSiRw4Hzzcykj7ZaRdGPHKmopnp2RASOkBnzTZwFydyc3geKyy4nJzG5W1t1eeMTT2jjZXVzZpHx6KNa4MzOwtD09aG6IBrFsRsbONcv/iLGkEgg9z0yooWLw6H3uDp/HiHqYBDeVW0tIk+8o7jV+qJwGJ4lUf5eU08PPDylEBbniimvF9cbHsZzmYRVqRcSV3hbdqHMZBMRNR9DhAX5S0uIWBBBZKyv43c4jB92bpaWMM8NA+eLRJDiMgzYiYYGCIzFRYidmRnMs3gc5eRKacemtRX2amsL85NLvBMJbdOGh2HPJid1s00WX888g2t/4xv42+HAuNmJamuDY8dzPlPUVdbUFQUROEJu8ETs70en3dpaiI7xcUzsxkbc3Lm8cnhY78tkdXPmiom5Ob0tQV0djNGBA/g3G7OBAT35z5+HQHj7bYyhowPGyeXSvXa4K6nXq1Nhhw7h9+jozo7C/397bx4c93neeT4v0BfQOBtHAyBuEqAokhIpUpSsw5ZkyTocR7FiT8XxeNaVSrzZiWezWzU1kxlvjZOZyUxSqWzNVLxbG+8klZ0Zj4+aSHYSS7SlULJM2qIIEpJF8ABJEPeNxt0n0O/+8eUz7w/NXzcaQLO70Xg+VSigu3/9+73d6Pfp535qapCUPDGB8s7e3vR6ATGJQ/946jgrgRybZ08SV1Ix1kni1uts5trOFAXQll3IMZt5RCMRGA89PdjbLS3Y1xMT+KyxofTpT2N/Dg1BtnApd2kp9nhPD/brrVsmB++nP8WeGh83BtHiImSAz4ff3GOKCx7KynDc1BQ8MFxKXlaGz/wvfmG8Q+XlRD/6kVFmtIbMqqnBeYuKcJ7FRTPEt7ra7Pl0vK7J2m6I0bFtRMER7mazTeV2I/GX808uXoRgCYfxOxLB5uc5TTU19l/OrGhcvQprZ2YGlhRXQXFuTyQCQbO4COHC3T1dLqyjo8Nck5WK4WFTaur3QwC53abvzOnTWN/6OgTm2prxuOzfj3On2wvITjlwu5HsfOYMhGtrq0kubG2F5ykx9NTRkfw69zoslYlwnbC3SVX+zXuop8dUYpaUIB8tHIaBVFcHWXH6NJQEvx9KxtQUPDR8vmAQRozDYULfMzMmlFVUZAbp8qTu4mJ8vtfX4RHS2nQn57lPxcWmyWhfHwy2uTmcj/cr5xAODOD+cNjMp+MhnDwLixOXt+t1FaNjx4iCs9dJVGYaG2ENpbOp2OJob4fAunkTgoM3fSCAyqZ/+A/tN+TgIK7R2Gimas/Nmem+w8OIkTc3Q3G5dcskB/LMKJ7nsrqKNXu9EIDd3VCeuAFXQ4PpQ3PjhrEg/X4I0Lffxm3uO0GUuhdQssZk1se5vXuiskiE1zYyYkpYuTw0XSUj05ZdAbRlF3JMqpwx3iMdHZATPh/23U9/CuPiwAEoM7duYZ/ynDoe68KfdVZSOIzNYWn2JPPcqfJyhL+WlyEnOB8nEoFn6OhReFjq67EW9sisrsKjFArBCxuN4nWEQjieyCQiOxxYy8wMlJ3iYjzW0oIwekPDzvamGB07RhScvUCyL0OejTQ5aeYoBYMQLi0teG46m8rtRjOsa9eMx4RDRDwjyu65s7NQWPx+M0STY+0eDwTV8jLWUFkJZWB+Hud0OCB0OjpgzbG7emjI9Khha6y5GcdGIhCqJSXwohCZKeAnT0JQWSuWkvUCItpomV66hOtGoyZh0qoc2CUXPvkk3vvpabz3paXw9nR22l8nVbfoTFh2ktAs7JRUOWM9PbivrMyMJQmH8Vl++GHcX18PWbG6aiqkKipMaKquDp/vwUFTMbm+brw2vP/cblONGQyaYbrs6amowH3d3ZAzDQ1G+YlE8ByPx8gZrsLk4b3z87jG2hr2zfy8KUtvbsae6e6GErVdIpHN5YqwKaLgFDrJvgz5C5Y787KCEQyabrlMOpuqvR1WmN9ves7wXKlkz7V+qbLCcekShAW7pImwtps3IfDKyyG8wmFYd1pDGLlc8P7w0M6zZ1HN1NyM2ysrUL5qanAfC09WaMrLoZCl0wuIaGNIiXNk2HV+4oRRDpIplxMTELgdHbjmwoKpROOp6nydZInZmbTsCqAtu5Alkn2mUyXK1tYirDM6ituVlfDONjQgTHXxommayVWU1dWQH5EIvuTZc+JyQQasr+M297qqrjb9Zrg9A49pcblgTNTUwJi5dQt7rrsbrRrW17GPbt2CgsXKBIeh1taMR6e6Gl7k1lYThi8txbk7O02bi528v5vJFSEt8k7BUUq9QET/kYiKieg/aa3/KMdL2t0k+zI8d85+NpJSsHKspLOp2tuhOFhHGZSUGE+R3VRca8MvDtWsrJiKCqa0FApJLGaUjJISrDMcNhbaoUO4XylYPt3daKQ3MQHlpqjIeGJ+9jPE+h9+GDk3fj/Ryy/fndBLBKE2MmKGbcZi+PKPRhHHX1uDcjI1hWvMzeF8XV1Eb7yB998aivrCF0wJPDdD5Fyea9dMM8RkSsa9CCdJFYeQDpt5D5O1m2hshIJz+TKKCUpLYcQEgzBGQiEYWNb9XFIC7wg3vTx3DgZASwtkF+freTzYw7/+6wg1v/02FB4eoOn1QjbV1ZneOMXF2KPRKM7JrSXq6qD4cNfjWMzMl6qpwXpZYTp40IxlaGszHpvJSci67cIy+8gRvN+hEGTz5csb5ZKwKXml4Ciliono/yKi54holIguKKX+Rmt9Jbcr28Uk+zIcHMRm58FuRGY2Eg+rTNeSZ4uuvR0WGicAcj+JI0cggOyEIXuSWAFZXYUA/ZVfgYCKRvEc7lo8Pw/BFwpBEFVV4e+SEryOmhooPocPQ8GpqNjYhbm8nOh734NSEo/Ddb6wQPT7v2+OZeHMwpw7nN68iffr134Nysuf/znWzbkBsRiE9NycGb8wNoY1xmJmTs63v40ZOufPm2aJfD1uapjYDNHKvQonSWdkYTO24z2MREyuTU0N9pPVe8JdvQcHzR4IBo03k5OAuQu5ywXZwMc++CCUi+vXcd7aWuz19XU8Njpqxslwz5pjx+Btee89XIdz+Pbtwx5eX8e5uPDgySehEJ09C6Xm0CHTmFRr7OMrV0xxRaIXfCuwzOaGf1NTWHdDgyQYb5G8UnCI6BQR3dRaDxARKaW+Q0QvE5EoONsl2Zdhezs2EicDu91mNhJ7PdKx5K0WncNhZqiwgCgqglLS34/NGghsLBs9dw4CaHUVlpjfD6Xj+9/HZr50Cdfp6oJXZmEBx2kNV/FTT0Gwcey+pATnbm42OThERmhcvoy1NjdDmfN6ca6eHqIXX9z42gYHTaJ0KAQBMz5O9Hd/h9DS3Jyx6Jqb8T6XlsJ1zU0HFxZwna4unJPDgUR4j4JB470pKYEimNgMMREJJwm5YjveQ1aKurrwOZ+bg1LDBQBuNz7LLS34Up+dhRLy1FPYV5OTRBcuwFMSi+EcbjcMlPJyeF4vXoSMiUSwR0MhyL7JSXhDudz805/G3uzrM2MZhocRmiovN6+RQ17FxZCJzz+PdfNMvPV1IzM7O3H8zAyMxsSZcVslsatxSwvOb51dJaRFvik4+4hoxHJ7lIgeSTxIKfUVIvoKEVEr524I9iT7Mnz8cWxCIhM+YeUm0ZORiDUGv7RkpuZ++OHGPhRc6RQO477VVVhI4+Mby0ZnZ3GOmhpYdSdP4r7RUSgVR47gfIuL6E+zsoLrHT4MRcPvhyJiDWMl5hKx0OD3gQiCrq4OStjg4N2vkwUte1nW1kx8n6s5hoehJHHHUy5vXVw0Yabi4o3vHecZvPACZng5nfDy8OvYzL0t4aSUiHy4h6TjPUzM0Rkfx57j+XTj4/DADAxgz/Ngy+5uPL+6GkbRyorJDXS7YQB0d5t5dNx+4eJFM5NqZQX72uXCeXk0Q10djmXD6tYtyJ9YDMbc/Dx+iouxlpISrKWrC4bS5ctYy9ISwtpeL4wXzvlzuyGPmJ3kxIkBkzHyTcFJC631N4nom0REJ0+e1DleTn6T6svQen+65YyJMfgLF1B2zdO75+ehLHH/CSIoBFwBMTQEy6uiAp6XWMyUVE9Pm3j3wYNmcq/LBcG1sACloqgISkI8DmF29Sosp7ExKFFLSxBSViuKhQY3DeS+ODU1UFLshEdtrZkOTgQLbmUFr9XjwTlaW01SZH29aRnPU4O9XihIq6vGS1Nebt5v68iGrfTMkHBSUkQ+3EM2+/K1y9Hh/lWXL5sk3dVVk5Q7OAi5Yd0jVVUI4e7fbzwl8/O4Fncy1hpy5uxZyBGHA3tobc3k0Cwv43wc9mXla2nJ7F+HA4pNb6/pZRMMmh47nCfIeX8zM6bNxOSkKaqwspOcODFgMka+KThjRNRiud185z5hJyR+GUYiUC5YsTl5Mv3NkxiDLyuD4KmowDmKiiAcSkogNAIBU4Wwbx+uff480bvvmlLuUAhKis+Hc9fXQxF66ilTsnnmDIRMWRkEZFUVzn32rOmDwxUSrOAsL2+cvM3dj3miMLdhr67G86zvSXs7fhoaNlaaeb0QXp2dELqlpaapGDccDIeNwvL88zhubg7nKi/Hde2UTBFkQr6z2WfWLkcnFoO3ZmTEeGeam82sqYYG4zVmw+CDD4wXhRWWUAh7KRo1z+3txd5va8PeCoXMnCjO4Vlagoz4wQ+wD9fWTPdh9vjMzeHabCBVVkLuDA/jHPv3m5YUMzPwAFVXp27cuRPjQwyYjJBvCs4FIupSSnUQFJtfI6Jfz+2SCoyd9lBJjME7nRAGIyOm23BRER5bWICXhRtxHTqE+wYGjPDhfhSTkxCEXV1QhFghmpyE5TcxYXpbdHRg/e3tEEzsIvb7k492YMstHCb6nd+BoBobwzlOniR6/3379+QLXyD6L/8F1U1EEJQlJRDQzc1Y2/Hj8FB5PCa8tLS0sbFfMk+ZCDJht5HqM2uXo1NZCUWgvh77yuvFbaWw155+2pSDl5ZCiZmdxf7iQZicV8OVk9zkj6d3z87iHJOTuO1yQRZEo7ju2hrRf/7PCFs3NGxsCkqEv6enYUBxJRcbKfv3o8/X3JyZVr62ZqZ8E0ERkpBS3pFUwVFK/ROt9Z9lczFa6zWl1FeJ6EeEMvG/1Fr3ZXMNBc92qiAY7kPR2wsPRnW12eyNjVBQ2tpMs0Du7BmJQEisrkKpCIVwfE0NhIbTCSuopMTEsWMxCLZf+iUoTU1NEDzt7Tje7YYl+OijeDwahRIyNWXmSS0ubhwQygoM9/u57z4jFJO9J+3tEJAjIzjP8rLJPVpbS3/irygxwl6gogIeWjZ8Ghqw33i4pt9vwtgsL1pbsc9WVuDZ/fBDGAseD+QDe3OKivCcUAj7PR433lqHw3RBb2/HMaEQrhkO49zsSWbFZ2YG+7qhAUbTxASuw9PKo1EYXGVlCL9zO4f5ecgNq6Einti8JJUH5z8opT5PRL+htb6ZrQVprV8notezdb2Cxq4h13Z7qFhLptfWUF7JFk04bFy/7LGprsZ5eQLv1BSeG42a+HhnJyyn+XlYXI8/jr9ZOE1OIo/m6FEIrtFRCEprxRcnS09NwTM0P2+6oC4tEd1/P9Grr0J4cbJyXx9ux+N43sgIBJzdexKNIs/I44Ew5jL0YJDokUdEkAkCw8m7k5PYW0rBw9naaiqk5ueh8LCnd3mZ6PXXsTfPnsVzuCnn0JAZ18Dhb58P19Eax62tmT5Zg4PYnw4HFCEOa0Wj2K/cpZh723Dezuoq1vj008gnnJmBXOrogCeGc/vYy9TYaFptsMwUT2xekkrB+SQR/b9E9KFS6utE9Kdaa0nYy1dSzZRyOGBVra9jAy4ubj1ezJ4fnt/U2wslYW0NwikahZBxOtHAq6gI1pDDYQSLy4U1HD6M+0ZHISgOHzaxbw45+Xw4byCA63OvGLuKr2efRY4Oz6BxOBAu6+sj+vu/N30kxsZwTCiE17C2Zkq/h4c3Vi/xe3LxIoQ1X9/rNYLR7j2T6b/CXoVDwM8+iz3Hc6QqKrAfm5shNzjXJhYzPWsmJyEDqqqwdxYXIQ/icexTTizm7sRra7gdi2GvOp2mFJwIez0chmGyvg75tL6O+27cwLGc+1NZCcXryBFcOxyGDONGgdw9mV+H349jZGRC3pNUwdFav6OUOkpEf0BE/56IPqeU+g1pupcDNvvStMureestCAynE7e5zTg3tWIrJt3GVFbPD7cxr6/HObjfTF2d6WfR2AgBxx6aykp4dSYmsA7uFVNfj3LptjaiH/4QAq2p6e7ZK62tEHpVVURPPIG8HWsei8eD562tmcZ68Th6YwSDJq4/PGw6hFZV4fltbfD+cAydQ1iDg3CXs+LG1qFS+LH7P/H/wek0SuULL2xcryAUInbeYU4UDgbNXCmuXKythfxg46iuzvS6Yg9McbHZcysr+OGy8njcyLXFRRg9t26ZPlnBoOl15fVC7nGYKx43eXwVFab7+YsvmtlTrMzcvAk5aZ0tFQiIcrMLSJlkrLUOE9E/V0p9l4j+ExFdUkp9n4iidx+q/6d7tMa9TTpJwYl5NR4P0d/+LX6Xl5tKgOZmUzI5cqfdULqNqRL7X7Cl1dJiRhVMTkLJWF+HAGprw1orK3Gd+nrkvdy+jdf19NM411//Nayljg4kFrdYCukWF6EUTU3hmGAQr6etDcoLl57euoU11NcjF2d0FEKOKy54dtXkJIQXe50++ggC75lncP7xcZPQfO4cXvPwMI6tqMB7qJQJd1nh/4PPZ0YwhELodTM8LF1IhcKG50319Zl8lakpKPd+P5p2jo2hZw0bPqurpinmrVtQcnhaeCRiRjYUF2Ofrq+bQgKHA7KFc2+447nTiXOWluI2yyPOGWSly+vFXvb7TS+qpibIHJalRJvPqRPylnSrqG4Q0QdEdIyIniQbBSeTixIspJMUnGg5TU6aTp/xODZ2JAKh0dlpEv4+8YmNz0mVaJzY/4IIawqF0KxvaAiCZGYG5d2HD5vmfk1NUGq4YzJXUbz/PoQdTx0/e9Zcv7QU55yYgNDr6DBu4pERVDYNDUGJ4TlQFRW4Psftp6dN3L+oCNcNh81aBwexDpcL5+ROxlNTEGJzc6Yknd3h8TjRxz5mmpJZ4f/D1JRpDsheNGvJuiDsJtINu7a3E73zDvYsz6Orr4ccuHULz+FycB6lwFWJfj/2LCfzr6+bPlculzHMGhrM2AanE/uLu4mvrWE/T09DpjQ0YA9zzl95uemrFQiYEQtK4fzc3yoe3zgfr6GB6JVX8BxJIt5VFG12gFLqlwmjEn6FiH5La71Pa92R8NN5z1e6V0mVFMzU1ppyRyLTRZctlpUVCI21Ndx35Qq+cEdGsPntzpkIz42qrIQVVltL9Hu/B6Fx4QIUi1gMv999F94VIhMuOnEC08YrKhC+qquDt6S6Gl6R9nYoIdwkb2AAz6+shJC5eNGsdWUFicseDwRWeTksvXjcDNE7fBgW3syM6Yoaj+M4pYxlV1xM9PGPQwCyEOfw0uyssSKJcM4HHyR66SV74cb/B06KJMLzedpwqvdXEPIR9iD39kJZ6O3Fbe79xMdcvw5Dp6TE7PP2digRbBi5XPj54hexp9jo4Oc88YQxgOrqTN4b97FpaMAe7OrC3ueqRqVwLq6OWl/HdVpboWD5/SYXp7oa+/HIEazv6FHcdrtN2OzJJ7GPp6exjtJSGGPt7Shq4L5aQt6Tqky8joi+QUSfI1Q1/c9a6/FsLUy4Qzqt0RO9K2zdfPzj2KTnz5vnvPsuvsydTiTbjY5C+eBuo3ZTv4kgZL79bVyjvh5f1j09sMRcLigyxcUQTmNjRK+9RvQP/gHOe/NOEV5VFY51u/Fc7jvh9eK5paWwyFZWEKZqaDDhoaUlUy565QpeTzRqBvAtL+NaHOK6fRuv96OPIGR9PjN2Yf9+hOzuvx9WGecIsYV6/rxxg3s8WFdZmZmAnEy48f9hfBzn5K6sbHWK90bYbWzmQU4Moc/O4vFnnzW9reJxKBk+n9lvLS3wpO7bh70cDOIxvx97JhbDHuYuw0phD+7fj3UMDxslicNWpaWmS7nTCXlQWoof7oAeDKKFxKlTOAfnIXJeHcuqysqN+3UnoxeEnJEqRHWNEHr6R1rrb2VpPXuDrVTapDOXJLG7aEcHXMIrKzj/E0+Y7sJECE319pov4rk5fJETQbAk5vlEIlBuuKMv94vguHRNDSwdIhM7Ly7eOMm7ttZco68PzwsE8JvdvsGgyXFhr5XPZ2ZQlZcjxNbfj/vKy00DsJUVKDJTU/D2lJVBgVlexk95Odbl82EtDod57xYWIBDZ9cwWIBHO7/XiOO6xkQz+P7S2Ep0+bWblbGUEgyDkE3YeZIcD+TTcDyoQMHlzR46Y5pxcnu3z4Tnc0ZsVioMHzdDNyUkoG+vrkEFEZu94PPD6rq3husEg5FB5uVGolMLz/H4zxiEWwz4eGMD+vv9+yKqVFZzv5Emin/xkY8+eQABr93o3vuadjF4QckYqBecMEf2O1no6W4vZE2y1k7Bda/TGxrsVJCsuF5JmEyeC9/TAi+J0mnJKp9N4Zfx+k+ditVgGB3Hb7zcVCYGAGWjZ329yTXiSuDVHhdueB4N4rdPTUCpWVyG0ZmehkPn9cAF3d8O75PHAAxMO4zzRKK7FFUzctj0UMp2FuQU7x/QffRS/eWCf243jiLAOHr/gcuG1uN1mCCY3AYzFcP8zz2zumna74fbu7pZycWH3k+hBjkYRruE5a7292MMsO1wu9IeKRLBPXS4YXK+9hj24sgLZV1uLMSbceI+b9i0s4Dd7fngUQkWFCRkXF8OA4S7GXGFVWgq5dv/98F7/6Efw0jQ2IrQVDkPZqqiA7AmHTTiNKS3Fubjqi9np6AUhJ6QqE/98NheyZ0gnaTgRaxMpOwXpyhVscp6BZFWarOdkYcVlmDyZV2s8d3ISwoRoo8UyO2tKwNmycbtNG/NAAMoUf4E3NSFXheE+FVw+TYTzHD6MEBkLKb8fCg1bfQMDUHxGRyFYm5rwPnFSYXm5Kemen4cCQmRykFwuCND9+3HtuTnTT6OhAeG6SITo2LGNlWTd3bjuz36G63DCNpeYp6Oo8IBPIpN7I0qOkGuSeY+T3Z/oQeYQzpEj2F+dncjBs8oOzrlrb4esun4dCsnQkCk6WF3F/rr/fuzVGzfgFT5xAn8vLmKvPv+8admgtfGKsrEzPb0xEfnUKfx9/jwqLVdX8Zp4SvjqqumXkyz8f/SojF4oEPJtFlXhs91OwoydgnTpEv5+6CFzn53SxMKqpwdelkDAVDBcuQKhwlgtltpao0xwJdTUFKyfmRnE0b1eI+Sef94k9bJw8Hgg+KqqoIw4nXisuBjrqq7Gc27fxut78EHk3DgcWOPcHO53ubAODiOVluLcHD8/dQoWYChkKsYmJnDNhx7CezM8DEWquxvKDYejrO/Z/v3GtW11X6cbh9/pzC9ByDTJPpNPPmmagtp9Vq0e5JUVKA68Z/x+7Onbt/Hbqgzwc+fmcH725sRiuFYggL3IQ3h5/7vdOEcgANnW0AA5w72o5ufN2JamJjzm8+E5zc0w4FgmdHVhX4+P4z7Oqzt6NHn4v7t7owdWqqZ2LaLgZJt0koZTYacgRaN3N56zU5pY4BQVwc3c2QkBRYTeMaEQFJ3E5n8sCIggmGZm4H05eRLHE5mmfpOTUH4cDnh9jh83wqK3F9erqYEgW1iAouLx4HY0auZTXbmC+6urTXNCa2fTeNx0FOaw2twczkOEYzgvgCu9HA68/7W1iL1ziTi/h4EAOiLz+8zu62gUr2t4GAnU4+N3z6JJZDueOkG4lyT7TJ47l/qzavUg19ZiHzMuF5SI2lo8L1EZcLshBxwOKDI8S6qoCMqOwwHvjsOB3DwOIxEZLw7n7rHnhQdwdnYSPfcc1sktGdhb09EBOcRDe5eXIUva240CYxf+t65dRi/sekTByTbpJA2nwk5B4i9pK8mUJs4l4U6e4TCOffhhCISZGfvmf1ZBwKMgfvhDfOE3NUGg9PbC4vJ4YElNTZnEZm6/HovhWjwg0+uF65ob5PGU31DITAF2OPB6HQ78tLVh+B0n/5aWmjyfmhpcj7srE0GRYg8UU1cH9/ahQ1jHxYtmSGdvr6nA8Hjw2PIyStPLynC+7u7UHpmdeuoEIdMk+0zevGlaKnD33mSf1WTyq7kZBogdHg/254ULZvhuPA6PzVe/ir3GgzGXl7HnuVMxGzRFReaaKyt4fHoaspC7lHOOXTxucvImJ01Yq7XVdD8eHDTKjCgyBYsoONlmMxHccA8AACAASURBVKthM+wETEcHPDjpKk12a+D+EdYOvcmsOHZ1cxJzMLixjXp7O4Tk9DQS/UZG4A3htXV3E/3u7+Ka//W/wjPi8ZiQmcuF9c/Pw0KbnUUejtOJCrDqalwnFIIiMz0NAdjYiMe83o2CvKoKcX2rELN2J+UcosZGhKZcLjPj5vJlk1DtdhM98ACEsNapm/ft1FMnCJnG7jPJYee5OezZmRnstebm5AZSYsXmzZvwviQLxXJ/qMVFMyZGa/z89/8O2fCJT+C6nCPDbRpWVkxYvLgYnpvGRuz/sTFUKz72GGRAOEz0W79lBvuWluJcjz66MQwXi8GIkZBxwSMKTi7YidWQTEEi2prSlLiGc+fS9ziwq5tnOoVCUBCWluCFYRdzKGSqq7hknMc58DknJuAZGRiAMOLY+fIyjuOqKc6niUTgAfrMZzAlfHISClM4jOOeew6u9ldfRRiqrs6EupTCGjmJ+eWXcf0zZ+C5sfbY4DAU9+RYWYFHyenEe7e4CE9SMo/MTj11gpBp7D6TwSD2C/er4tEHPh+OT5Z8zLLj+nUcs1kollsxcJGBx4P9tLAAQ4YIe5QNGR6Q6XQaz8v0NGRAPG68t1y59alP4Rw+H3LtEmVhqpAxP55u4rWwaxAFJx/Y6kZKpiDtxNW6FY8Dd/udmjKWld8PL0p9PbwlgYCZ6cJDLYk2Kk2RCMI/3F9mdRXCKxRCEuAXv0j085/fnejrckFx+fKX7cvl33rLDAPlVutf/ap9q3V+vZxXwDOkePq512vCXTdu4Dd3J07lkdmpp04QMo3dZ3JwEMaN243P9MIClHrrXkqVKJ9OKHZ2Fh4ZroLixn3T05ANo6PYWx0dMDgWF7HvuMlfXR324qVLkBVut8m/q67GmhcWcOz4uJGD1r2ZrJ/P+fNEf/M3JoyVbuK1sCsQBSfXZLLaZjsWBz9nfNzkyPCXN3scEs/r8UAwFBfDczI/D4F16BDR66+bTslLS3hdv/qr5npWpaC/H0pSUZFRJgIBKBSf+QzOwy3W19YgCLkxWLL4+fXruCYnGB86ZMJQyRTA9nYkNZ85g3yg6mq4wY8cMXOpWDgODOD94TL1zRr/SXxfyCcSP5MDA1AOOi3TdgYGYGik4/UYGsJ9XDZOdLfiHw6bvjWBAM65soK97XQin25+HqEk9sTu349jwmF4SuNx7OXRURguLhfCaTdu4Lk8Vby4GCGrRLmXrJ9PURFkS2kp5NyJE1jjZonXwq5AFJxck0qIbGUjbUdRShy/4HabbsLW0FfieefmcL2pKdMwkHvdtLRA+CgFoXLlCpKRObelo8MoTadPmyF4a2v4eeABM9X33XeJ3nsPz+MePDws7623Nr42VsK4CsrnMwI3neRebhbG7vGZGeQVuN2w7IqLTYv5tjb8bNcjI65vIV/gBGDOc2HvpMeT3DszOIihmpOT2KtjY/j71Ckz8NKq+HPRwcwMZMbqKu5nby3v0w8/hGFRWmqqnS5fxt5bX4eCtLQEj05REULbwSD2ZF8f7tu3D4bT0aMb152sn099PdbAxhW/psFBnCvxtUuRwK5CFJxcwiGakRHTZpx7u2x1IyUqSh4PhMPSEmLSiV+iycYv+P1QOrg5XTR6twLGjbvYTez14nrvvw9hc999ODYWg4U3OwuhGQ7j9S0tmQnkTieev7AAYTU0ZJKeb93COWZnoVwEAsazYu1JY1XutEbJ+8ICrDGXa/Pk3sFBrO2RR6CQcVJzURGu39cH67K9HeeKxXam3Eh/HCFfaGqCIqG1aZCplAnLstcjGoVy0t+Pvag1jpmbg0LAYSOrrIlEcPz776PvVEWFaQbIo1YqKvC86WnIkqIiyJL5eShF/DgRHmtvxzoGB6H0sBJSUgJZcusWDCcuA2eS9fMJBuEF4pyexUXIjPZ2/C1FArsaUXByBX/R8Sym1VUz+HI7G8lqbXHZ89yc6ZGT+CU6OHj3+AUuu/T70b9mZAQ/Vvc1Eayenh7cz52NAwEjfBh2Rzc1ma7CZ84gr6a1FWu5cQPKVXk5nuN247hXX4WAefBBWGpsxXGVlVUJtCp3PLtqYgLCrrp681ASv3ceD5oLzs2ZwX0+n5mcbE2U3q6rOlMeO0HIBOzZWF42X/jW0PQ770DBn52FgsFzo8rKzOTvQADeldZW8xmORIjeeAPdirmMm/tQNTRgj7e2Qim5dg1KTG0tzlVUhL+npvA4K01vvWVaWYRCMKZ4gnhHh6kELS623092/Xz8fsjdQADnLCnB63/8ceTgSJHArkYUnFzBX3TWSqTpaSgANTVopBeJpG/VW2PMU1M4X2kplIuGBmzU/n4oB7Oz8JRUVeHLnJWUYBBrePRR82U+Po5jub8MEYRbayuu4/djnU6n8QRdvIjr3rpletjcuAHPTTSKdRYVmecphdteLwTVwACUlKEhrMfvh2XJ/TGINk4/Hx4297tcUBLZBX38+ObeFut7t28fhOTiIjxRTifeo4UFk9ezE1e19McRcoldeDRZVebp09i3fX3Yu8eOmb00NGRKy91uKB21teY6g4PYxxwCO3zYeH4qK+FBmZiAfIhETEm3y4Xjxsbg+XnmmY1dkc+cwTXb2nD9q1exbmtuXmvr5vuJFbtAAN6eoSEoMM89l14TQGFXIApONrATKvxFx1/Io6PIOSkvRxl0Xx++uNMNXVhjzDxh2+czngKnEwKrpQXXnZzEptYa1ykvN12Jr16FMtHcDGFx4wYqGGIxnKezk+gf/2NTpl1Tg3M5HESf/SzWvrxM9MlPQshdvw6hxd4K7nmjNZSJ6mrcV1yM6/p8eM7sLBSLcBjvodeLuP3f/70ZvbC6itj9yAiu19yM99Tng3KTjtJgfe9KSnCN7m48n70rHHYj2pmrWvrjCJliq7lcqcKjicnwFy8Sffe7Zo/G4wgzcauEeBzezvvug9Fy//34fe4c1jI+bobUcgi6thZ73Os1gzPX1iA/IhHsCc6zGRnBvq+qInriCeTdcNXj8eOmAWdTkyl3P3QIMoCHeaYiUYE5cuTu90+KBHY9ouDshHQETDKhwiWJFRWmsVVFBZQb9pZsNXTR2mqS8urqYDVNTsIbMTa2UeE5eJDo7FkICq8XIafFRXgwBgYw8uDIEQiQ8nIIL04o1hpr5TJtLt+0NgkcGMC5xsfh6eFYelWVmSK+b59xUbe2mmqpixdNThJ3QG5rMzF6dpWPjUE5m5+Hgvj972MNhw6ZPh7p/K+swm58HOcvLTUVHdXVWM/Vq6bsnMdYbJXEZEceFjo+bh4XK1HYjO3kcm0lPPrOO7hGezuMESI8d3gYe5R7SY2OQl55vURvvmkGX3KhQSSC42Zn4XEpLzfhriNHNt7v90MGjI3B0KithRfnD/6A6N/9O6zXaiCcOIHnrKzAcDt5EmtMN5QkCkzBkzcKjlLq80T0+0R0iIhOaa17cruiTUhXwCQTKkTYiPxFx8PqeDYUUfqhC+tavF6c49o1uHNZGeAvbhZAc3NQMKzCyufDNTlB8Pp1CJzOThOeIdooFHnaOIe5uI/M+jpi3C4XlJOpKTOTZnoaFqBSEI5tbfjNsfpIBApPSQnCYcXFsBx9Plholy5BMbhwwShlTU1GiXn00bsrrBL/V1evorJrackoPPx6Hntso2v6hRfgrZqexmtIHGOxFRKVqYkJnG95WbqrCumznVyurYRHl5awV4kQUpqfhxempwd7saEBlUoNDVByzp7FHnS7cb7xcayJc1fKyoxh5PVCuYnFcJ3bt7G319YQ6rJOBWdv8zvvYI2J7SxKS4k+9zl0Q7buZdk/AuWRgkNEl4noFSL681wvJC3SFTDJhMrS0kYX6alT+G2dK2XNM0m1ce3WMjFhqgyqquBC/uADM/F7bg6WUmMjzhkKQeloaYHHgq2q6moIksT1W4UiW1U8U8bng9XX0YHjjh3D70AAa6mshJAsKTGTfTnRmPOCeD319Qg7DQ1hrdEoBOrwMM43Pw/hWVWF9XDX4VRKpscDhWdgAIIxUTlNtOyuX8earf/XnSQG8/mJoNRJwrGwVbaTy5VueJRnSt26hb8bGrCneF5cPG7Cxg0N6GOzumqUFJZpVVUI9c7MYI8fP477r141BQ5+P/b41BT2/8QEZFZREdYQi0EGnT5t+lFx0q+1nYUoNIINeaPgaK2vEhGpxKnY+Uq6AiaVULF+kVqrqjh0wYmysVhqFzSvhadeLy5CYPh8ph9ENArBw56iqSmct6MDCsXUFKyjeBxCx+nEcV1d9uWSHR0mT6aiAkoDe3x4LszcHLwvRBBuy8sQYNXV8LJwKaq1lL2/H9UXnKBcX4/ztLUZjxcP1RwZwXuxtITXz16gxM9Q4v9qagqvM3GERDLFYitfJlvJi5CEY2G7bCeXK53xIUtLRH/6pzimogJG0NgY9lxHB0Lo3EJichJ7KRw2Q3W5R5bXC8Pj1Ckcd/gwjLeJCShLLpfpvTM9jT178CBe0+XLkFc89Hd1FUZZoiFgHfkiCDbkjYKz60hXwKQ7kygx6Y2rgjg0lOpLuLYW3oi+Png+WGgsLkIgcUy8qwvHVlTAo1NUBIHm8eA5Dgfc0NwDprPTvlzS7YYCEg6bkI/bDSXmwgUIJI/H5Jb4fHBPl5WZiqhIxDTSO3AAxw0M4LqVlehJEw7D+jt8mOiVVxCP7+mBMKyrQ67NyAiuVVGB16LUxlwgu//VwgKOq6w0/T1YubNTSNL9X281L0ISjoXtsp1ZZ+lUBp07B6/ooUOmW/H77+OzytWVy8vGyzMwgGNv3TJDOyMRMz+OCHLlb//WyITBQciCzk5ci0NeDofpHr6wAIPF5YLRdOyY2asLCziWxzIIQhKyquAopd4iogabh76mtf7BFs7zFSL6ChFRKzeOyjbbVVxSuVStHp1z50yDKyaZdd/ejhj1xIQp2+7uhvC4fBkKBOfZPPMMrlNbazwdCwvIM5mYgBBqbITnJ1m5ZDQK5STRojp8GF/Y770Hi25qCooW5/9w9cSzz5rBmm+9hSqtlRWso7ISlmIsZqoi+D1tbUVu0e3b8Pg89hjyVvr74RWqqsJzu7tT/69iMbx2nw8jJ3iUw/w8Hn/xxY3/n3T/11vNi5CBnPeEvJAP95rtljEnhl851449jjdvmp5UJSXYg/E4QsSjo/hsd3aaVg+nTsEIOnMGys7qKoysgwcRQiLC/QMD8LjwLKqbNyFnXnkF8uHsWexJtxvJw9yP6/nnoQBduWLy+9xuPGd6GufniinJwRESyKqCo7V+NkPn+SYRfZOI6OTJkzoT59wy21Vc7LALa2zFune78aUejyMGzgm/8TiUDIcD3pvHHzfrs2vwdeyYvbchcf2pJo8vLcH7tLaG80ciEIhDQzgPJw22tuK31lgDW3yBANbLPXw4bHX6NATjvn14TdeuQRlqb4cA7O42x9ut3/q/6ujA2q5cQcKyUnjPlEJjsv37N7Z6T/d/vdWQk/TauCfkhXzIBjutArLzOAYCMDTq6nBMLAZlgku9Z2ZMp98nnzQG04svmsT5/n5ThcgDbrlrMU8fdzhMLh33nWKPj9eL5z7/PM4bicBzywbc6ioMIiKUro+O4u9Tp6QzuLABCVHthEyUGSYLazz55Nas+6YmfPGXlRG9/Tasm8lJ0z+iunpj5Y/dlz4RBEmqkvfBQQiliYm7B+w5nXhOc7MRjMXFJmdncdH8RKMQhKOj8Lyw18PtNmXh4+N4D65fx2vjgXif+IQRlKdObc9y7e4m+sY34EVqb4c3x+nEej766O5ZNun8r7cTcpJSVSFXJHocefjlxAQMlaYm7EGPh+hLX4KyMjCA311dZmYT779kVYgrK5A9AwO4jzsQV1bi+tEozmWdh1VVhesSGQNufR0/XN3l9ULh4uOCQWM4JfOaCnuKvFFwlFKfJaI/I6I6IvqhUuoDrfXzOV7WvSdZWGNiYmvWfXs7qhn+6q+QFMgtzFtaTKhreXnjxmehxG3Qk+WO8EyZ06fhcXE44C7+4AMIwelpKCQnTkDARCJQglwuWH1lZVCw3G6cJxSCS3poCJZaPI7KipMnzbA/VpiWl/G7utq0hZ+bQ9itpmb7QsztxtqbmzeW5it1d5JyukjIScgn7DzDROY+awdwHu8SCGDgbThsOq03NUHhWV2FPJmZQa6d1jAIEj0micUTb7yB/b26ir0+Pw+D4rnnsE+0hsJEBHlRVYW/uQiB/+aKw48+goc4EsFzWcFZXMRvSdQX7pA3Co7W+jUiei3X68g6m4U1tmLdT0+bXjjz8/iinpkx7uW2NvuNn0zJ6u/H7dOnoVSsruJ8RBB0P/oRcnxOnMC1T59GbsyJE4jPX74Mi4vLu+fmiD72MShBvb1ETz8NCzEYxHk//BBCWCkoBh6PaQ7Ir4M9PC6XfZJvfz+uq/XGPCI7jhzBOqyWo12ScrpIyEnINJspKVtpMHrlCj7f4TCMFGsHcCIz3qWz03hCSkuJfvITPBaJQJlZXER3Ya7Y5PXYyanBQex9lj2Tk1BOmGAQ+2142H4eFmM1HoqLoew0NsI4GRzEMV4vznP7Njy7Wxl1IxQkeaPg7FkyVUnDAq+rC4KMJ/JOTeF8x48nP6+dksWjHYqLobzMzEARKC/HfQMDEJZOp5nyOziI11JaijyWuTnkx7S1YS2HDxN94QuwwI4fx2tubjaCtKQEChLn0gwOph6Il9ip+PXXMchTa/x88AHc5Zw0nPhl0dYGhev2beMmt0tS3goSchIyRbIGlVqb+U3pNBiNRqGInDsHJeCJJ7AHi4ogE95+G3u6utpUNBHh/OPjOJYHzg4N4ffKCvbf0hKuk8xjMjsLr82hQzA8FhchN7TGaJrPfQ77rbs7tWFgNR449M09ccJhk/O3soJ9PDuL905ycfY0ouDkmkyFNWZnkW/DLf9LSkxzLt7whw/bn9eqZHEp5vnzpqy7qgqKzO3b+F1eDk9JNAqBOTQEIebz4bHKSgiiJ55AUnA4vNHStF7P5YK16HKZ2VGsiFi7liYbiMcMDmJ9Hg/WQWRyBjhPwC4M98lPIhyY7jwfQcgWdp7VS5fw90MPmftSNRjl0FMohL00O4v7PB4oM2439tfCgqlg4ry6xUWUiLPyw7PquArK6YSBkjho00ptLc43PAx58sgjRkFpaUGomffbZoZBsjyfL30Je7+3F4qU349rSi7OnkcUnGyRrAFcpsIatbX48ucGduEwhEh3N4Rhc3Nya6axEWXmfX1mTszqKs7DfWa4DHt2FkpYcbGpduJheey94fEJwSCETOJ1+XrXr0MpKy83s6MSrVZr11K7gXgMC+5Eqy8WM43JkuU6icdFyAcSZcT4+N2e1VjMzIRjUjUYtXYX533AHcWJEELm573zDtF3voO91t6Oa3GPKYcDe5ULBJSC9+bmTRgyvHcTZVx7O7yiFy9CpkQiML4OH0YvLu6ns1USPaVLS8YrnOp9EfYUouBkg80awGUirNHebqaAs3LT2Ej04IOIqZ84Ya8YRCKocCgthWIzM4MQUUcHhJXLhXM6HPC0OJ0Qcg88YPpexOMmL6alJXUfGOv16usR/iouRh+ewUEIwslJU6Fl17U0WVk9JzW73QiPcTv4iop70zV4q9OcBSEZdjJicRF/W7+0OSnYSqoGoz09UGICAcgDpdB3inNpOPn/u9/F78pKeGpmZtA2wuWCJ5iNB6UgC9racN6GBoSdiZLLuJdewh5/8014fLnz+dDQzsLBVqRppmCDKDjZIFkSb7ru03S+SN1u5L0cOoS/i4rw5T43h42eLOTFa2tpgXJw9CgUJY5rz8xACDY3w9Py5S+jSqu3F311ZmdxTFub6ZRsJVGJsF6PyHQjfvVVCNeRETNwk93l1nOkKqvv6IDyxK3enU5YrjdvmplTmRKA25nmLAjJsJMRsZjxgrIns7MTHpx0G4wWFSHM1NGBc8di6DpMZHJhvvc9eHkefRR7prMTeTmzs3h8aQk/bjf2U1WVqWr8/OdNf5tUMu7552EI/exnULa4WvHmzY3h5u0aDVLBKNggCk422In3gJNnORHW5YKweumluzf+0hLRfffB8uIKh7q61JVE1rVVVaGBHpdednXhukQQaAcOII7+1FOwyJaXYRUuLkKgOBwQMon9cTYbPrq8DCWJh2VyN1RuCGg9RzJlcWJio6VYWQlB3dwMgUq0cXr7TgXgTpVWQbBity8qK/H5bWraGL4mSr/B6DPPQLHg8Qo9PZAjn/kM9mswCOW8qcl4h2ZmYBjFYvDSrK7C4OGw9X334dzxOLy4LhfCWzMzCKvV1mJfWGUcG2ADAzhHZSWOCQTMntmJ0SAVjIINouBkg524T/v7URnE86IWFnD7wIG7m9FZr8Mt6jm8k87a/H54bVZXYfktL+O5q6sQXH4/PDfsMZmYwP0TEyZfpq8P1zx1CudKVCIS34toFB6XYBDH79tnwmDj4xCe1nNspizW1CAJOTEWnzi9facCUAZlCpkklYywC1+nG9LmL37uY7W0BM/Lz3+OvfL001BMOIGYCPuZp3gXFUHJiURwvFKQQY88gsd/+EN4e+bnoRQ1NEApGxsz076ZpSVTBs7z4Kx7ZqdGg1QwCgmIgpMN2H06MoJ49vQ0NnFj4+bP5Z4uXBnk9UJ4XL58t4KzHTdt4tqKi6FMNTVhjaEQhF9lJZp78ZwoTs4lMg24olFYd5cuIb7+qU/d7T2yrtHhgMv65k1cNxRCfkB3N/JzWlqQOGhVRDZTFtOd3r5TJOYvZJJ7EWKxhnuWlqCgTEzgvupqeGe1xmeWKw7Zy8lKTSgEg4MrrmprcVtrM4TX6zVl5EtLWPvKiikcYCoqiH7wA2OszczAM/SlL+FxMRqEDFOU6wXsCdxueDyCQSg3dXXYuD/9qREMyeCeLpvdx9d59lkoBTU1+G3n3uUBe+fOQdidOmXWdvCgacrlcsE6GxiAMOrvJ/rxj5Gjw+XoieWog4NQhlZWUBqaao2xGK5x7BisPbcbr+v2bZzjlVeMYsK0txshvLSE39Yvgs0ezxTZuo6wN0h376YLh3t6e+FZef99hKccDpw/FjNhICKir38d/aIaGmBgsMEyNgYDJh7HfdPT8Oj29Jjmmy4Xzllbi31LhNy6VKFxu/UuLWG9w8O4NhHkUrISdEHYBPHgZIuJCWx+qyWSjvv16FE0rLN22y0qutt7w2zmpUhVrfGJT+AYbso1NoYv7YYG4zYOBPCYzwcvT0XF3eWogQA8PYmjIfj6bFVqbSYX19XBzc2D+ZIJx81i7dmKxUvMX8g02/Uw2iXmJoZ7OjvRsM/lwt4KBCCTOjtxu64OCs7162Y23Oio8Th7vVBAeIQDl3xXViIvb2wMv4uLURzgdN4dGp+dRQh6dhayoqMDz+exEYEAPEc9Pbi/u/tuL5AgbAFRcLLFdt2v3d1oajUwAKurpMQIpe1gF+e+fh0uaMblQo7P2Bi8OeEwhFtREQRRURGEW28vhLLHg3NwOWpJCc6/vAyvDgvexkZ4rVi5mpyEt6auDvk99fWwMKuqUucNbfZFkK1YvMT8hVyTLDGXc+IY3l+jo9hvTic+t5zEzMzOQrl45BHs/QMHEHIOh7EvDxxArpzLhb0bCuE54TC8ujxoN1Ex4TEqt25hLZEIFCeXyyhNLS14bGoK8q621kwrF4RtIApOtrDL2VhchKA5dy51+feLL2au34qdolVXB2Fz6JC5j0vLQyEILSIIR1awGhshyK5fhzv9+HHk6LDLmmff7NsHy25kBJUWpaWmRPzIEZxzZgbn4tLRjg6x2gQhHZIl5vIYBpY3LheG2Y6MQEFpbMS+TFREEgsVWltNaCoUwv5cWTFhct6vgQDO09iIn0TFZHAQe7+xEedxu+FB8vnMzDleZ0sLlKyKClFuhB0hCk62SEwiXFzEbSJsbms/F7vRAfcyOZY7IF+6tLEU/fHHYWlNTuJxrory++Hd4TJSbpGutQlrXboEN/Yzz5jmXnaeosceMyXmPOhyK7F7QdjLJPMMezzYs1Z5E4uh1008bgoJEo0lu2Rnnw9dh//bf8P+5vy/kREoI21t6Jbe0ABvjJ1iwp4hv9+0sKiuxl5vaoIMkYR9IcOIgpMtEnM2uOcEezM4l+Xb34YgyHTzOLv5TpWVECRlZRB4IyNQMojwm71H+/cjft/YCIWmthbn8vlg2Xk8CD253UgY5jLzlRUkOHq9OKedp2htDe7wTOQdiFIk7DVSVfNxLo61lUMkgsfj8eQeY7vcsv5+M6ahutqUkXPSMrelCATs93KqFhbSpE+4R4iCk02snphz54xblrE2vCPKXPO4VPOdDh6E0OrrMwP8iHDd/n54WZaWkDjIOTTc/n16GiEmrY3SVFODY6uqiD78EPczPIl8O+XyqV6PdBEW9iqplAOWN0SmlQPR5nLFzmO8tGQqB9fXYRTt2wev7DvvED388MaQV6IB0tiYep2SsC/cA0TByRV2ltfMzMYQDlFm+kAki9PzfKdz5+52czudaAzW0nL3SARu/+7xQLnx+40iEwpB6SGC5ehw4DqcePjCCxjLkFguvxXlxO71jIwQnTmDv8WjIxQC6XopW1vhYV1dtQ/xZqK/TG2taQfh82E/X7wIGdDSgv1cVET08ss4Ptk4FQ6/21U/SsK+kGFEwckVdpYXtze3kolY9GYCzk7ZGhqCt8VuJAK3f+/pgVCzDvKbmyN6910c394OT87AABSb7m7TJ2er5fKpXk80Cm/TwACSncWjI+x20vFSWo8pK4Os4DlTS0sbB9HutCklTwX/+c+RhxMIQKE6dQohZpfLyAei5ONURIkRsogoOLnCzi3LIaBMx6I3E3B2ytb6OgSaFatSZDfIjwhelLIyVGw0NBjB53LhNWfKmrS+Hk5afPhh3CdzoYTdDnspfT7z+R4fh7eGe2AlejI9Hig8nYtQYwAAD+hJREFUAwNmuCx7Tnaa4+J2Y9bbgQPog3XtGtEDDyCfjufO8T7mv61IR2IhB4iCk0vs3LL3Iha9WRKfnbJ1+DDycqxYlaLEQX7hMB6vqYFyY+0+upm3aDvWpPX13L4NT5Hfb39NQdhtzM4ivHvxoimrXlhA2JhDUInGAnccdjo3KvoTE5mRK243lKujR5F709trlBsi7OOODoSoe3vRTsLvxzFSFSXkAFFw8o17EYtOJ4kv8bqRCJr6pbL6tqMY2ZXLB4Nm9EM6gjfxuqdOmdESdtcUhExzr6v4amuJzp833cH5msXFxjOZaCxYB1iOjOC2w4HjiezXut3XYWc0ud0IkS0vozrywgUYHl1d0pFYyAmi4OwVtqo4pVvZsFXFyHpea/nq8rKZVJ5O7oz1upyLIGWmQjbIRhVfezvCxKw4RCJosslz4ng/WpUM7ks1Po6/3W783deHPJnSUihN6+vIiWtr29hZfCuvw04+cDUmdyTmTuXSkVjIEaLgCJllK94ioq2Vr+7kmoKQKeyq+DKd8+V2Qwl5802EnDgEGwiY8G/i576jg+gnP0HCPY9DYOUoFsP9oRB+3nwT/amsncW3+joSjRtrNabLhXyhqirpSCzkDFFwrEjzOMNOrNR0vUWZSDje6jUFYadk8nObiu5ueEN5DwYC9mFi6+d+dhbJ/+vrqFacm8N9t28jfOXzofrJ6YQyU1eXudeRifw6QcggRbleAKOU+hOl1DWl1C+UUq8ppaqyugD+Qu/thVDo7cXtSCSry8gbrFZqRYUZnsnx/ExQWwsBaCUY3JigLAj5RrY+t+yhOX4cyfvHj29uYDQ1QYk5ehQelJoa7FutN+bdVFai59bMTOZeBzcCnJxEmfrkpISKhZySTx6cN4noX2it15RSf0xE/4KI/nnWrp4Nt3M22ak3anycaH4eApDd45m2UqVFu7AbyebndqueycS1KYWRCl4vmvFxLk9DA8LDRUWZex0SKhbyjLxRcLTWP7bcfI+IPpfVBWTL7ZwNUoWXiDZXfCIRxOuvXoViMzOD0k8e7ZApRCAKu5F8/tzare3ll9G48/RpVGG1tiLc5fPhsWTdhbd7fQkVC3lC3ig4CfwGEX032YNKqa8Q0VeIiFp5cNtOsYsfLy4iVn3u3O7KyWFvlM8HK21hAR6ZhgZYa5vl1QwO4vHGRtODY2Li3pR6ikAUMsw9kQ+J5PPn1m5tR4+aTuKJxk1FRX6+DkHYIVlVcJRSbxFRg81DX9Na/+DOMV8jojUi+lay82itv0lE3yQiOnnypM7I4uz6s9y8icdisd3V/p+nlVubhM3PE33nO+g+ulnVxOwsYvRc6rm4CDd34owbQchD7ol8KATyWSkThHtAVhUcrfWzqR5XSn2ZiH6JiD6ptc6uYEp07TqduH+7JZS5JFmTsPl5TPG2YheGs3qz2ALm4ZyCINw7pJJTEDJGPlVRvUBE/4yIfllrHdzs+HsCWziPP44v98rKjY9bZ63kM9wkLBRCSWgggMTCri4kGlqxq5qQaghByD7ZruSMRDBy4dw5/N6rFaNCwZJPOTjfICI3Eb2plCIiek9r/ds5W81u7enAFqDfDyFZUgIvFFdNuN2bV03kcxKlIBQq2azkzEY3ZkHIMXmj4GitD+R6DRvYjSXMiUIrHsf629q2XjUh8XpByC7ZrOQstLYYgmBD3ig4ece99GKkirPvJAafKLSefZbo8mWc88QJqZoQhHwmm17jQmqLIQhJEAUnFffCi7FZj5qduI0ThZbLRXTgADxPREQ9PZK4KAj5yr3wGiczmHZrCF4QtoAoONkmlWuYaGdu42S9fCYmkH8jsXZByF+24jVOx9MbiRC98QbRwABaXTidRJ2dRC++uDtD8IKwRUTBSYdMlm6mcg3z33aPpaPg2AmtYBB/S6xdEPKfdLzG6SYI9/cT/exnRB4P7l9dxe39+9H4TwoJhAInb8rE85ZMl26mGtS30yF+dsP5urt3b7m7IAh3Y/UCpxqE+9FHKDTw+TCLyufD7Y8+wuPWthgHD4pyIxQcouBsRrrCJF1S9ZjJRP+ZRKHV1CQTuwWhkNjMC8wohZ/N7hOEAkVCVJuR6WqDzeLsmXYb51OsXbq0CsLOSTdB+MgReJwDAeyzSATKzZEj2V2vIOQIUXA2415UG6SKs2e6citfmvZJYzFB2LqSb3d8ukZLdzfRxz5GdPs2UTRKVFVF1NGB+wVhDyAKzmbkkwdku+RD0z5pLCYUCtv1RG5VyU91fDpGi9tN9NJL4jUV9iyi4GxGvnhAdjvSWEwoBHbiidyqkr/Z8ekYLflg3AhCjpAk43SQaoOds9MKMUHIB3ZSdJBucvB2jxcEYQOi4AjZQSaUC4XATpSOrSr5YhQIwo6QEJWQHSTUJ+QrW8mp2UnRwVbz+Qoh/08QcogoOEL2kHwAId/Yak7NTpSOrSr5YhQIwo4QBUcQhL3LVhN/d6p0bFXJF6NAELaNKDiCIOxdtlPdJ0qHIOwKJMlYEIS9iyTyCkLBIgqOIAh7F6nuE4SCRUJUgiDsXSSRVxAKFlFwBEHY20hOjSAUJBKiEgRBEASh4BAFRxAEQRCEgkMUHEEQBEEQCo68UXCUUv9GKfULpdQHSqkfK6Wacr0mQRAEQRB2J3mj4BDRn2itH9BaHyOivyOif5XrBQmCIAiCsDvJGwVHa71kueklIp2rtQiCIAiCsLvJqzJxpdQfEtE/IqJFIno6xXFfIaKvEBG1trZmZ3GCIOwKRD4IgkCUZQ+OUuotpdRlm5+XiYi01l/TWrcQ0beI6KvJzqO1/qbW+qTW+mRdXV22li8Iwi5A5IMgCERZ9uBorZ9N89BvEdHrRPT1e7gcQRAEQRAKlLzJwVFKdVluvkxE13K1FkEQBEEQdjf5lIPzR0qpg0QUJ6IhIvrtHK9HEARBEIRdSt4oOFrrX831GgRBEARBKAzyJkQlCIIgCIKQKUTBEQRBEASh4BAFRxAEQRCEgkMUHEEQBEEQCg5RcARBEARBKDhEwREEQRAEoeAQBUcQBEEQhIJDFBxBEARBEAoOUXAEQRAEQSg4RMERBEEQBKHgEAVHEARBEISCQxQcQRAEQRAKDlFwBEEQBEEoOETBEQRBEASh4BAFRxAEQRCEgkMUHEEQBEEQCg5RcARBEARBKDhEwREEQRAEoeAQBUcQBEEQhIJDFBxBEARBEAoOUXAEQRAEQSg4RMERBEEQBKHgEAVHEARBEISCQxQcQRAEQRAKDqW1zvUadoRSaoaIhnZwiloims3QcjKFrCl98nFd+bgmovxcV7pratNa12315CIfskY+rokoP9eVj2siys917Ug+7HoFZ6copXq01idzvQ4rsqb0ycd15eOaiPJzXfm4Jiv5uD5ZU/rk47rycU1E+bmuna5JQlSCIAiCIBQcouAIgiAIglBwiIJD9M1cL8AGWVP65OO68nFNRPm5rnxck5V8XJ+sKX3ycV35uCai/FzXjta053NwBEEQBEEoPMSDIwiCIAhCwSEKjiAIgiAIBceeV3CUUv9GKfULpdQHSqkfK6Wacr0mIiKl1J8opa7dWdtrSqmqPFjT55VSfUqpuFIqp+WESqkXlFLXlVI3lVK/l8u1MEqpv1RKTSulLud6LYxSqkUp9bZS6sqd/93v5npNRERKKY9S6n2l1Id31vUHuV6THSIftrQmkQ8pEPmQPhmTD1rrPf1DRBWWv/9XIvp/cr2mO2v5FBE57vz9x0T0x3mwpkNEdJCI3iGikzlcRzER3SKiTiJyEdGHRHR/Hrw/Hyeih4jocq7XYllTIxE9dOfvciLqz5P3ShFR2Z2/nUR0nogezfW6bNYp8iH9NYl8SL0ukQ/prysj8mHPe3C01kuWm14iyousa631j7XWa3duvkdEzblcDxGR1vqq1vp6rtdBRKeI6KbWekBrHSWi7xDRyzleE2mt3yWiQK7XYUVrPaG1vnTn72UiukpE+3K7KiINVu7cdN75yYu9Z0XkQ/qIfEiNyIf0yZR82PMKDhGRUuoPlVIjRPRFIvpXuV6PDb9BRG/kehF5xD4iGrHcHqU82JT5jlKqnYiOE6yhnKOUKlZKfUBE00T0ptY6L9aViMiHXYfIh21QiPJhTyg4Sqm3lFKXbX5eJiLSWn9Na91CRN8ioq/my7ruHPM1Ilq7s7a8WJOw+1BKlRHRXxPR/5bglcgZWut1rfUxgvfhlFLqSC7WIfIhs2sSdh+FKh8cmV9W/qG1fjbNQ79FRK8T0dfv4XL+B5utSyn1ZSL6JSL6pL4TjMz1mvKEMSJqsdxuvnOfYINSykkQXt/SWr+a6/UkorVeUEq9TUQvEFHWEzBFPmRuTXmCyIctUMjyYU94cFKhlOqy3HyZiK7lai1WlFIvENE/I6Jf1loHc72ePOMCEXUppTqUUi4i+jUi+pscrykvUUopIvoLIrqqtf4/c70eRilVx5U/SqkSInqO8mTvWRH5sCsR+ZAmhS4f9nwnY6XUXxMy/+NENEREv621zrm2r5S6SURuIpq7c9d7WuvfzuGSSCn1WSL6MyKqI6IFIvpAa/18jtbyEhH9B0LFxF9qrf8wF+uwopT6NhE9RUS1RDRFRF/XWv9Fjtf0BBH9lIg+InzGiYj+pdb69dytikgp9QAR/X+E/18REX1Pa/2vc7kmO0Q+pI/Ih9SIfEifTMmHPa/gCIIgCIJQeOz5EJUgCIIgCIWHKDiCIAiCIBQcouAIgiAIglBwiIIjCIIgCELBIQqOIAiCIAgFhyg4Qt6jlPquUiqglGpIuL9YKXVBKXXjTq8EQRD2GCIfhGSIgiPsBv4JYdDa/51w/z8lohNE9Jta61DWVyUIQj4g8kGwRRQcIe/RWk8T0f9ORJ9VSn2eiEgp1U1Ev09Ef661/kkOlycIQg4R+SAkQxr9CbsGpdQbRPQQER0moteIqI2IDmutl3O6MEEQco7IByERUXCEXYNSqpWI+ohomog6iejTuW4pLghCfiDyQUhEQlTCrkFrPUxE3yAIr1dFeAmCwIh8EBIRD46wa1BKVRDRFSJqIqJREvezIAh3EPkgJCIeHGE38SdEVE1EnyaieiL697ldjiAIeYTIB2EDouAIuwKl1FNE9FtE9H9ord8gon9LRP+LUuqxnC5MEIScI/JBsENCVELec6dJ1y+IKEBEH9Nax5VSTiK6SEQOIjqmtY7mco2CIOQGkQ9CMsSDI+wG/jWh5PM3tdZxIiKtdYyIfpOIDhLR13K4NkEQcovIB8EWUXCEvEYpdZLQxOuPtNYfWR/TWr9PRP+RiH5PKXU4F+sTBCF3iHwQUiEhKkEQBEEQCg7x4AiCIAiCUHCIgiMIgiAIQsEhCo4gCIIgCAWHKDiCIAiCIBQcouAIgiAIglBwiIIjCIIgCELBIQqOIAiCIAgFhyg4giAIgiAUHP8/nVoSqC3BCcAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_17_0.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def simulate_xy(n=500, r=.9):\n", " mu = np.array([0, 0])\n", " cov = np.array([\n", " [1, r],\n", " [r, 1]])\n", " return np.random.multivariate_normal(mu, cov, size=n)\n", "\n", "f, ax = plt.subplots(nrows=2, ncols=2, figsize=(8, 8), sharex=True, sharey=True) \n", "\n", "r=.1\n", "sim1 = simulate_xy(n=500, r=r)\n", "ax[0,0].scatter(sim1[:,0], sim1[:,1], color='r', marker='o', s=30, alpha=.25)\n", "ax[0,0].set_title(f'r={r}', fontsize=16)\n", "ax[0,0].set_ylabel('Y', fontsize=16)\n", "\n", "r=.3\n", "sim1 = simulate_xy(n=500, r=r)\n", "ax[0,1].scatter(sim1[:,0], sim1[:,1], color='r', marker='o', s=30, alpha=.25)\n", "ax[0,1].set_title(f'r={r}', fontsize=16)\n", "\n", "r=.6\n", "sim1 = simulate_xy(n=500, r=r)\n", "ax[1,0].scatter(sim1[:,0], sim1[:,1], color='r', marker='o', s=30, alpha=.25)\n", "ax[1,0].set_title(f'r={r}', fontsize=16)\n", "ax[1,0].set_xlabel('X', fontsize=16)\n", "ax[1,0].set_ylabel('Y', fontsize=16)\n", "\n", "r=.9\n", "sim1 = simulate_xy(n=500, r=r)\n", "ax[1,1].scatter(sim1[:,0], sim1[:,1], color='r', marker='o', s=30, alpha=.25)\n", "ax[1,1].set_title(f'r={r}', fontsize=16)\n", "ax[1,1].set_xlabel('X', fontsize=16)\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving Plots\n", "Plots can be saved to disk using the `savefig` command. There are lots of ways to customize the saved plot. I typically save rasterized versions as `.png` and vectorized versions as `.pdf`. Don't forget to specify a path where you want the file written to." ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:32:01.972590Z", "start_time": "2020-04-07T16:32:01.941707Z" } }, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.savefig('MyFirstPlot.png')\n", "\n", "plt.savefig('/Users/lukechang/Downloads/MyFirstPlot.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn\n", "[Seaborn](https://seaborn.pydata.org/index.html) is a plotting library built on Matplotlib that has many pre-configured plots that are often used for visualization. \n", "Other great tutorials about seaborn are [here](http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.14-Visualization-With-Seaborn.ipynb)\n", "\n", "Most seaborn plots can be customized using the standard matplotlib commands, though be sure to look at the docstrings first as often there are already keywords within each type of plot to do what you want." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatterplots\n", "There are many variants of each type of plot that you might like to use. For example, `scatterplot`, `regplot`, `jointplot`.\n", "\n", "Let's update our simulation code a little bit to make this easier." ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:41:25.165110Z", "start_time": "2020-04-07T16:41:25.008679Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Scatterplot')" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_22_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def simulate_xy(n=500, r=.9):\n", " mu = np.array([0, 0])\n", " cov = np.array([\n", " [1, r],\n", " [r, 1]])\n", " return pd.DataFrame(np.random.multivariate_normal(mu, cov, size=n), columns=['Variable1', 'Variable2'])\n", "\n", "sns.scatterplot(data=simulate_xy(), x='Variable1', y='Variable2')\n", "plt.title('Scatterplot', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:42:02.135568Z", "start_time": "2020-04-07T16:42:02.132143Z" } }, "source": [ "We can add regression lines with `regplot`." ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:41:57.306860Z", "start_time": "2020-04-07T16:41:57.081627Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Scatterplot')" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEaCAYAAAAYOoCaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8GearUAAAgAElEQVR4nOy9eXxkV3nn/X3uUptKW7ekbvfm7rbbtFlsMA6YQJpmmzEvCSR5nQQyWSAhdgiJQz4JA+9kgIRk3uBhEgYyQOwACYRgkjgLhGAnGEc2BBvwggHbwm3L7d5bUmurUm13OfPHubdUVaoqlVpSS7LO9/OpllS37r2nSq3nnPMsv0eUUhgMBoNh82Gt9QAMBoPBsDaYCcBgMBg2KWYCMBgMhk2KmQAMBoNhk2ImAIPBYNikmAnAYDAYNilmAjAYNiAiMiwiR9d6HIaNjZkADOsGEdkvIreIyIiIFERkSkQeE5FPi8grVvnevyciP77UYxsVEXmziLxjrcdhWFvEFIIZ1gMicjVwN+ABnwEeAdLAAeA/Af+qlPr1Vby/Aj6tlHrzUo6tFSIyDOxVSu1di/MNzwyctR6AwRDxPiADPF8p9XDjQRHZfuGHtPqISLdSKrfW4zBsTowLyLBeOACca2b8AZRSZ2p/FpFXiMi/iMg5ESmJyKiIfFJEBmpe82si8m8iclJEKiJyWkQ+KyJ7a16zN1rhA/yiiKiaR8tjDWN5dXSf6Wgs3xWRX218DyJyNPLdv0BE/lVEZoDvRsfeHF371ZHL6WkRKUfXemOnH6KIHBKRr4jIjIgUReRBEfnlxnEALwcubni/hzu9j+GZgdkBGNYLTwLPEpGfVEr9Q7sXisgNwMeBk9HXp4E9wI8Bu4CJ6KW/A9wHfASYBJ4LvBV4pYg8Tyl1DhgHfh74K+BrwC01t2p3LB7L9cCfRff5H8Ac8Brg4yJyiVLqnQ2n7AHuAv4O+Hsg23D8JqAL+Fj081uAW0UkpZT6y0U+lx8D/hE4A/wxkAPeCHxCRPYrpX43euk7gD8CBoDfqrnEY+2ub3gGopQyD/NY8wfwEqACKOBx4FPA24DLG163CygDjwJ9Ta5j1Xzf1eT4q6J7/NeG5xXwly3G1vQYcBFQAj7X5NiHgQDYX/Pc0ehab23y+jdHx54Gemue742emwTSNc8PA0drfraj100DO2qeTwD/EY3lQKvzzWNzPowLyLAuUErdC7wQ+DTa6L0FvQp+VETuEZH90Ut/Cm3Ufl8pNd3kOmHN93MAImKJSG/kHnoYmAFevALDvg5IAp8UkYHaB/DPaBfrqxvOmQT+os01P66Umql5DzPoHUY/cLjNeS9E7y4+pZQ6VXN+Bfif0Vje0OkbM2wOjAvIsG5QSn0PvRJGRC5G+6nfCvwI8AUReSE6VgDw0GLXE5FXAu9FG/tUw+H+FRjy5dHXO9u8ZlvDz08qpYI2r2/mhnk0+rq/ybGYfdHXR5oci59rd75hE2ImAMO6RCn1NPAZEYn97y8FXtTp+SLyQ8C/AU8A7waeAopoN8vnWZkECIm+/gJwusVrRht+LqzAfQ2GFcFMAIZ1jVJKicg30RPATnR8AOD5Nd8342fRfvHXKqWeip8UkS5WZvUPcCT6OqGUarcLWAqXA19oeO7Z0dfGyaSW+Nhzmhxrdr4pADKYGIBhfSAirxGRBQsSEUmjC8FAu0JuQweL3yciPU1eH6/KYzeLNLzkv9H8/30e2NJieK2O/S06IP370Tgbx9IrIskW12zF20Skt/YawK+ig7t3tznvQeAY8JbamgkRcYF3og1+7cSSB/prPi/DJsTsAAzrhQ8BW0Xki8D30K6S3eiV/GXAZ6IYAZGEwUeB74nIZ9DZLzvRQc5fAr6DTof8LeDLInILetJ4DXAF82mitdwHvFpE3oU2pEop9fl2x5RSJ0TkbcAngMcid9XTwCDwPODH0avvo0v4HCaAb4pIHCh+Czq4+1alVEv3kVIqEJFfj973t6P3nAN+BrgG+P+VUkdqTrkP+FHg/4jIN9AT5l1KqbEljNWw0VnrNCTzMA+lFOhV/kfRWToTgA+cA/4dbdStJq//Cjqjp4R2b/w5sLXmNT8OPIDOzZ9A+/73oA3ycMP1DqBjBrPo1bLq5Fh0/KVowzuGnmhOReP+bSBV87oF96059ubo2q8Gfh890ZTRk+HPNnn9ME3SONGB869EYy2hg+W/3OR1GeCTwFm08VfA4bX+f2AeF/ZhtIAMhnWAiLwZnR76CqXU8NqOxrBZMDEAg8Fg2KSYCcBgMBg2KWYCMBgMhk2KiQEYDAbDJmVDpYEODAyovXv3rvUwDAaDYUPxwAMPTCilBhufX7MJQERSwD1oMS0HuE0p9b525+zdu5f777//QgzPYDAYnjGIyNPNnl/LHUAZeKVSKh9VK35dRG5XSt23hmMyGAyGTcOaTQBKBx/y0Y9u9DABCYPBYLhArGkWkIjYIvIddAXlV5RS31zL8RgMBsNmYk0nAKVUoJR6PrrL04tE5LmNrxGR60XkfhG5f3x8/MIP0mAwGJ6hrIs6AKU7O/07cG2TY7copa5WSl09OLggiG0wGAyG82TNJgARGRSRvuj7NFqpcWStxmMwGAybjbXMAroI+LSI2OiJ6G+VUl9aw/EYDAbDpmIts4C+C7xgre5vMBgMm50NVQlsMBgMhs4JQsVcxW953EwABoPB8AxDKcVs0WeqUCHhtA71mgnAYDAYnkEUKwET+TJeEC76WjMBGAwGwzMALwiZnKswV553+VT8kL974ETLc8wEYDAYDBsYpRTTBY/pokcs76+UYvgH49zytVHOzpZbnmsmAIPBYNigzJV9Jucqde6eR0/N8rHhJ3j0dA4A25KW55sJwGAwGNaQ4ZExbr5nlONTBXb3Z7jh0H4OHxxqe07FDzk3V6ZYCarPnZkp8edfG+XffzAvmfOySwf4jVdeyjV/1Pw6ZgIwGAyGNWJ4ZIz3fvERXFvoS7uM5Uq894uP8H5oOgmEoWKqUGG25FfdPfmyz+e+eYy/f/AEXqCfOzCU5dcOX8KVu/tIuXbL+5sJwGAwGNaIm+8ZxbWFTEKb4kzCoVDxufme0QUTwGzJY2quQhBqIx+Eii999zR/+Y2jzBQ9AAayCd76I/t59eVDWKJdPyYN1GAwGNYhx6cK9KXduufSrs2JqUL155IXcG6uQtmbd/d866lJPn73kzx9Tr8u5Vj8zA/t5qd/aDfpaMWfdG0eOTHDX3zjKO7g3uc1u7+ZAAwGw4bkfHzn643d/RnGcqXqDgCg6AXs6s/gByGThQr50nxa51MTc/zZ3U/y7aNTAAhw7XO385aX7mUgmwTAtS36uxLc/9Qkf/jlx3BtARU2LQc2E4DBYNhwLNV3vl654dB+3vvFRyhUfNKuTdELqPghP/fiPZyYKhJGfv7JuQqf/sZR/uV7p4k8QDx/dx+/dvgSLh3KAjrbpy+ToCflICIL3EvNMBOAwWDYcCzFd94pq72jaHX990fv58RUgYt60/zUC3dx+Y4eQqUoewF//+BJPvetYxSijJ/d/WluePl+XrJ/KyKCJUJv2qU37WLVpHw2cy81YiYAg8GwJizH4HbiO1/qWFZzR7HY9V96YIBz+QqFSLhNKcVdI+P8+ddGGcvpQq6elMMvvGQvr7/yIhzbQkToTjn0ZxJNc/2buZcaMROAwWC4oAyPjPGB2x/jyHge17LY1pNcssFt5zs/H1ZjR9HJ9f/s7ie5YncfMzVVvN8/OcPH736Sx6JCLscSfuIFO/m5a/bQndKTXjbp0JdJtM3wqXUvtcJMAAaD4YIRr4THciVsERRweqbMjr4Uri0dG9xmvnMvUNxwaP95jWuldxSdXD9hWzx9bo7pQgWA0zNF/vyepxh+fL6Q69CBAX7l0H529qX1mBI2/ZlE29z+mFr3EmI1tfVmAjAYDBeMeCUchApbBBEhRDGeK7NvoKtjg9voO9+1TJ/9cncUi7mzaq8fKqV1+ss+23rSTQu5nrWtm7cd3s8Vu/oAncu/pSvR1p3TjMMHhzh8cAi54ej3mh03E4DBYLhgxCvhhG3hBwoREIFKEC7ZhRMbt5VgOTuKTuIHNxzaz3u+8H380CNhCyUvxAtCLt6a4ec/+a1qIddgNslbf2Qfr4oKuVzboi/jVl0/K82aNYU3GAybj939GYpewEA2SYgiDPXDFlmWC2e5HD44xPtf/xyGulPMFD2GulO8//XP6WiCqfXvi+ivsTsr5gUX9/Mbr7iU/nSC2aKHa1mECr7w8Clmih4p1+KXXrqXT//SD/GaZ2/DtS22diXZ1Z9eNeMPZgdgMBguIPFK27WFHb0pzubK+AFcMtjFu649uKY5/Oe7o2gXPyh5ujlLxQ+5et8WtmQTfPzuUR54er6Q67XP285bfngvW7NJJErp7GtI6VwtzARgMBguGI2++xfs7t+QFby1NIsfFCo+Q90pTk0XAV3I9Rf/cZTbvz9fyHXVnj7e9vJLuCQq5MqmHLZkEjj2hXPMmAnAYDBcUFbSd78eqI0fpByLuUpA2Q+5/oW7KHsBtz14gs998zjFSMtnzxYdJL5m/5aqy6i/yyXpLJ7Zs9KYCcBgMGx41lIXKN7VfGz4SY5PzrGtJ81PX72L2bLHL/7Ft+sKud78w3v50St0IVfStdna1VlK52ohcfHBRuDqq69W999//1oPw2AwrCNqs3BqM3g6DeIul7IfMDlXqTZn+d6JGT5295P84Iwu5HJt4SdfsJP/8uKLyaYcXFundHYlL9z6W0QeUEpd3fi82QEYDIYNzWpX8bYiiJuzRCmcp6aL3PK1Ue55fKL6mkOXDXD9j+xnR18ax7Lo63LpTupsofXAmk0AIrIb+AywDVDALUqpD6/VeAwGw8Zktat4m1HbnCVf8vnsN5/mHx86OV/Itb2btx++hOfu7MUSoS+jxdrWi+GPWcsdgA/8tlLqQRHpBh4Qka8opR5dwzEZDIY1YDk+/JXWBWpHbVqnH4T883dP8+lvHGU20uwf6taFXK88OIRtWfSktGZPu8bsa8maTQBKqdPA6ej7nIg8BuwEzARgMGwQViL4uhQlzmb3W2ldoGbUNmdRSnHf6CR/dveTHJ/SaZ5p1+ZnX7yb667aRdK1yUYqne4FTOk8H9ZFEFhE9gL3AM9VSs02HLseuB5gz549L3z66acv+PgMBsNCVir4+qZb7muZR3/r9ddU79WoIOrYVvV+sHK6QLUopZgpekwXPEKleHIsz8fvfpIHj00DYInuyPVLL91X1epZq5TOdqzbILCIZIG/B97RaPwBlFK3ALeAzgK6wMMzGAwtWKng62I+/E4URG+9/poVD/gWKj7n8hW8IORcvhwVcp0hNkIvvLift718P/sHsyRdmy2ZBOnE+jL8i7GmE4CIuGjj/9dKqX9Yy7EYDIalsVLB18V8+IspiB45O8ubbrmvrRtqKa6qih8yOaebs5S8gL+7/wS3fvsYJS8E4OItGX718H5etHcLCcemvytB9gKmdK4ka5kFJMAngceUUn+yVuMwGAznx0oFXxfz4bdTEJ3Il8mVA8ZypZbxg05jDGGc1lnyCcKQOx8b4xNfG2Uir/X6+9IuvxgVciUcq67/7kZlLaetlwI/D3xPRL4TPffflFJfXsMxGQyGDqk13H4Qcna2jBeGuJYwPDK2JJdMV8JmdGIOgH1bM7zndc+unh9PNAPZJKdmihCCQu8GpgoeW7rctm6oRldVECrGZkvc8NkHuGqP1iJ64d5+puY8/DDk4RPT/PG/Ps6JSMdH0I1Zfvs/P4uelNu0/+5GZS2zgL6O/mwNBsMGJJZAuOmOEY6eK+Dawq6+NF6o2rZ3rHXHdCcdxvNletMuB4ayFL2AQuRqiWmnIDqeL7O1K1n3+kY3VK2rKlfyODVdQk8hcGa2yH/7x+9x4ysPsLM/zS1fG+VrR+YLuSyBvrTD42N5jo7P8bord6zblM7zYWM6rgwGw7rg8MEhbr5nlL1bM3WuoPFciRs//xA9abfO597ojnliLI8fKroSDpKQpiv4dgqizTKIGt1Qu/szPDWRJ1fyKVQCELAUJFwL17KoEPLHX3mcqUIFP5zPM3FsEIRcKSDhWNz67eO8/gU7gbXVHlpJzARgMGwSzsdodXJOYzB4tuhxbq5CqBR7tmTqfO4L3DFKYQlM5Mv0RNdoFkhupSDaSQ3AS/Zv4VtHJ7FESw6gIACSjsVUoRKNVb/WtQU/UDgW2KJz+JXAbNFfkJXUSd3Cemd9VykYDIYVoTaVstZoDY+MLfucuMtXzEReq1+mHHtBh6zjUwXSNeqXiahQqhLMu32WEkjupJPXvaOTDHUncGtcNxYwU/QZz2vjbwm89WX76M+4pFwLQWcb6QeUg3BBVlK7DmAbBbMDMBg2AeeTs9/JOcMjY0wXKtUYwLbuJGU/RIDB7nnffLyqjwO6QajTOMt+iB8qEraglGpZxdtuJ7JYf4Fjk3P0pFwEoZIr4YdQG2XIJGx+61UHuPZ5F/HdEzMcm5xjPF/B84Jqzr9ry4KspFpWW3totTA7AINhE9C48obFjdZi58Q7hEoQsqsvBQpOTBdJ2BYD3Ym6Xrbxqv6GQ/uZLXqcmCriBSGW6EwQL1A8enqW8VyZ667aWWfQz2f3Ajqtc3KuwmB3irHZEqdntPGvZVdvit/70Wfz0y/aw67+NL92+BL8UKFqYgECpJ15U9m446l9fxsNMwEYDJuA8zFai51Tu0PoSSc4sK2bvVu72LMljWvbFCpaN6dQ8aur+sMHh9jalcCxdUWvAJYlOLaQciwGu5Pc9uDJOuN+Pi6XXMnjtgeO8+ZPfouRM7NMFX1qZQRsgcFsgu19aa67endVqfPwwSEGs0kSjoVjC10Jm4u3ZhjsSVXvd8Oh/XiBavr+NhpmAjAYNgjDI2O86Zb7eNlNd/GmW+5bdAVcy/kYrcXOabVDmKsEbf3y+UrApYNZDm7vwbEtHBFsS/BC1dS4L2X3UvICTk0X+efvnOJ/fHmER07PVCt4G8mXPI6em1uQzz+WK9WleipVf79O4g4bBRMDMBg2AMvNPKlNpTxydpZKoEg4VtXQNrtGY/plo8hau0rgdn752vMqQaj1fdR8QNgPQh48NsXLbrqL3f0Zsgmd3dMu1fOuR8/y0eEnOTFdoDvpcmyyUA0sC2BbEIQ6CyhhC5Yl+KEiV/LritaGR8bIlwNCpQvN/EBxaqbIVj/BvoFs3WezEQ1+I2YHYDBsAFYi8+TwwSFuOLSfTNJlsDvJ9p7Uov70wweHuPX6a/jau165QHDtfF0hteclbItAKZTSQeNcyePkdAkRqhPdubkKM0Wv6X2UUvzLw6f43S98n5PTBfIlnyfG81Xj35102Ls1w/aeVNUF5AWKkhfiB4pMwqr7DG++Z5QtXTpgrIAoE5SpgrchXTyLYXYABsMGYKUyT1ayfeJiO4RGajN5sgmdIpp2LfxQsaXLJZt0eGIsj1IKFcIPzuZI2BY9aYe+dIK+TKLuPmU/4Cc/9g2+d3KaUEFN3La66t/Rl6ZQ8ZkqeNVjCp32aQnkSwFHxnLVY8enCmztSpJ0bMZzZSqBlrbIJJ1nxIq/ETMBGAwbgJUSXlvpFMZOXSHVjCE/IFfyOTMTYlvC2w9fwhW7+qqTSLwbQARbwA8VE7kKXqC4/R2HAPCCkC89fIqb7hjRK/kaF78twlB3AlCczVWYKepCr0ZsERzbwg9DKjUXiD/n7pRbzWKKexM8EzEuIINhA7BSmSeNmT25kscTY3nGcuUlB5aXws33jFLxA87NVaJKWyFUio8OPwlQdTOlXRvbFiwRBP0V0RLNSimm5iocnyzw4a8eYSJfYbo4v7K3BFwb+roSpBMOlw1lKVS0Pz9hW9WUU9AVyGG0ZUjY8wHfZ1KGTyeYCcBg2ACsVOZJrYGbLVY4MVXEDxXbe5Id59efTzbS8akCuZKPhQ7ASpT544dhnQ/ejYxxGCpUjZF2LTgxVeSbT53jt/7mOxw9V6jq9nQlbByhumOo+HpX8O7XXk5P2uXy7T3sH8zqycUSBO0ucmxha1eCA9t6Vvxz3igYF5DBsEFYicyTWr/9g8emcGxhW3eqqsOzWDzgfLORdvdnODNTwmlIr0zaVp376bJtPVXhttj/3pN0GexO8Yf/8ij/9sjZajA35ejWkOmEQ7Hic3a2jAKGulPVWMTue+ZdZ4PdSU5NlxBbZxxt7001Xd0/UzJ8OsFMAAbDJiM2cC+76S76ogKomGbxgNrg7WzRI5Ow6U1rn3inQeQbDu3nwWNTBEphizb+SkFvFPyNO3plEzZBqNjWkyRhW+TKPjNFjyNjOR49rTvG7hvo4hWXDXLHo2d0EZml/flDPQtX67Vicdmkw9asy+ScR9q16iaKzYqZAAyGTUongeXGFf/JqSK5khZRSzkWA9kk3Sln0SDy4YNDvP3wJXx0+Em8ICRpW/R2ufiBYjyvs2360i5FLyBQChScmilRrAR4kaunP+Pylpfu5fXP38FQd4pDlw0umoHUmKm0d2uWP/qJzW30azETgMGwSVlMSnl4ZIwbP/8QhUpA0rHIRA3PFdpH36pIqhU3vvqyuoyfXf0ZpubK1QrgUCkcy8IW4fRsuRqsdm3hp6/ezS9cczE7+tPV7JxOXTWbyaWzVMwEYDBsUmo7eh0ZywO6HSPMr/znKj4WMFcJmKvMZw8pwAtDRHSR1AcO7e+od0CtMR4eGeOGzz5Ql4YpUp/P/6qDQ1x/aD8Ht/fQk97Y/XfXI2YCMBieASynQ9VcJWBXf7q6C3jvFx+hK2Hj2oJrWZQaJTQjQgUo6EroZMKlBIeHR8Z4zxe+TxCEdSJtKvoh6Vh86Geez4v3baEvk2jZhvGZ0plrrTATgMGwjjjfrl2dGN9m125VGTw6MceBocXdOlrKOaxexw8UT83MaY0fS/jA7Y81Hf/Hhp8EFM2mFgvY3ZfiPz17G47dOlP9mdSZa60wE4DBsE5oZtB+57aHGcwmyZX9lhNCp41baq999Fy+6n7JJGwGssm6lozAfEC2DQoo+yGPn50lm3Q4NVPCQrBFCEPFkfF8ndiaF4Scy5f5wdnZqEhr4TV39acoB6qt8e/0fRvaYyYAg2Gd0GjQ/EAxXfDIl3wuHcq2XOF2Iu9Qe+1cyeNc3kOhENHtGE/NFAHoiTJx9m3NUPC0UqePotU04ERpmF6gOJsrVwu9QO8OXNGCdS9/1iD/8vBpPvLvR3hiLL/A8MfVuK5t4Tp2S+mF2l3MeK7M9p5k3fGN2plrrTATgMGwgizHJ91oyCfyZSzRsgW5ks9EXrdQvPHzD/GRN76gI1nmZtcez5URAQshFCLlS8VEvoxja2P+ntc9G4D3fOH7HJ8qNh2vY2mphp6Uw1TBq6ZrJqJ+ukrB9t4kxybn+PN7RvnQnY9TbKHNXwkUAgRhwImpIm+4ckfTz7Z2FzORK3NyugRIdfey3M5cmy2mYKQgDIYV4nxbF8Y06vTEksYWcGqmiB8obAvmKn7ddTvRr6m9diXQ2TtK6WraHX0pXEso+eEC6QMR4aLeJIkmliJUikzCZrLgYdtC0okbvGtjflFvklDpdNE/umOkpfGPsUQHf7d0uQu6goHexXhBwJmZEj84qxU8lVKczZVWRLdnub+/jYiZAAyGFWK5mv2Nhty2hFBpIzzvWhFSjl133U70a2qv7VpCECpCFANZ7UIJFXUyDbXvZyCb4lkX9bJ3a6ZqMBxLnzNd9PBDRXfSYXtPCtcWHAtQIbMln5PTJc7myihF00weYV6g7dk7erlkqJuEbTOWK3HDZx+o0xo6MpZjIlfBD/VnE3uRgkCtiG7PSvRc2GisqQtIRD4F/CgwppR67lqOxWBYLsuVWl5Qtbolw7m5ClMFDzsyuHHjlMbrLlbsVHvtmaLHdKGCJcKJ6SJB5LqxgIeOTfHO2x7mg9ddueD9jOe0i6gSKIKGxXysyimAF4IPlCIN/oRjkXFtCmWPeH8j6ABynPcfzw2zRY9TM8VIsE1VV+HXnZhmquARhAorLhiz9KSYdm2+9q5XdvQZt2OlpbI3AmsdA/hL4P8An1njcRgMy2YlNPsbDXlcjZsr+YgoRITxXJmSF3RUfdvs2sMjY/zm3zzEbGOjdEsb5amCx013jCx4P5VASzLDfFOVSLWBMFCM5ys0rvGfv7uPH7viIj42/AQhgi2KIDqnlt60vsdEXgeSES0Ul0k4TORLfHT4yaoyaKgi91gQTSROe9dSp6xUz4WNxJq6gJRS9wCTazkGg2GlWA0t+cMHh3jry/ZhWVo+2bG08RvPV3jJ/i3ndc2b7hhhrhyQcOr//P0QLBEsgdGJuQXvR6LXxKgaQx6v7OOfE7ZUBd3ufGyMvkyCnX1pUq5NrScom3T4iedfRHcqQaGiFUAV8y0iAWailX8mYS8wWDqLiRXx02+2XgCw9juARRGR64HrAfbs2bPGozEYWrPUFomdcvv3zwCKOD5sRf1y7x2d5MY25w2PjHHTHSOMTswBWubh3a+9nNGJuaglYv16Xef0B1HcQZvy97/+OdX341gWfhBUi7eapYYKWrRtW08K2xJOzxRR6PFKYj5bRyntt49dN3H2zYkp7f7Z3puqav6Ug5CUYzPYneTpc4XqfRTgWDpovBK5/6v1+1vPiFqk0GPVByCyF/hSJzGAq6++Wt1///2rPiaDYb0wPDLGL33629ooR88pdPOT/q4E9//317Q87523PcxUwdONVVRsMEGh2y3alkXJC5oa8oQtbO9N1wVVX3bTXZQ9n/G81+QM3Zhl95YMTtTwpbaVYqNrJT526/XXLBh3nOoZS1OcmCrSn9E9AR49PaubxaAnwj1bMmSTTt1k0uyz2Eypnc0QkQeUUlc3Pm+ygAyGC8xSOmrVZaBEKTMCBIo6EbVm5+VKPlAvrhaEEIRKZwGFakHmj4jOBtrRl16QAbOzN8100Vvg5wfYlk2wpSuBF0WHa90nS3GtNMtoevvhS0g4NoWKT8qxcGwhYVvs2ZKhO+W29dNvxtTOpbDuXUAGwzOJperXHBnLVQ1442a9UPHrZBZqOT5VwA9DgrDeVaOI5hEBsYBQr/YrgWh/070AACAASURBVKq+wImqcuMMmK8+epb/fecRfnB2lpoyBUCvIHf1p1AIf/CG57Z0nyzFtdIsoymWkZ4p6DTQLVEjmcX89EYuoj1rnQZ6K3AYGBCRE8D7lFKfXMsxGQyryVIM0vDImM7+obm/PVTwy5+5n8uGsrzr2oN15+/uzzA2W8JvcmbCFrpTDge29XBiqkBXwubJKE5gW7qC99R0iS1dDtmEy2/+zUPMlZu7iixL8EJFX9pt62ZZriZ/o4x0p5PJZkztXAprOgEopd60lvc3GC40SzFIN98zStq1KLdw9VhoP/hTE3MLdhE3HNrPr/xV8wQ7BRzY1lP1v7/plvvYWvQ4N1dBhXp34Ich47kK41QIaix/NX8fXbUbKMVEvoIXqGpXr/NV5ezUV7+UyWQzpnYuBRMDMBguII1yD9DaID1+dpa5SrDATw/gCLiOjWUJgVJ1/vrhkTE+cPtjeMHCNbtjaW2hWpfJ8akCA9kkO3rT2FGaaah0nCGIgs9buxKAnhxATwKVICRhWyil6E27y6qgXS1f/WZM7VwKZgIwGBZhKUHbxViKQSpUAvxAB2wb54BYKlkpSNhWdRcxPDLG79z2ME+Mzy0I1lqizzswmF3gLipUfGxLy07EGUOgUzp39qXoSthRda5+XtDuou6Ug21ZVQnpmKW4WeJit5PTBc7MlMiX/RWTYehEJmMzY4LABkMbVrrpSCe55vEKvlY8rTEAXPJDHAsssRjsTlL0ArJJh7f99QPV8+IJIP6acCyGulO8+7WXV+9z8z2jPHp6mtlivY/fsYTffNUBnnNRD7/3pUcZy5WwrflCMIWWq57Ilzkw1E3RC87LzRJ/voVop+OHilPTJXb06SKxlfDVm57ArTETgMHQhlZB25vuGDnv3PJ2BqnWFdIq+Bvjh+BIyPHISIZNMn5qv1eK6up3eGSM3/2n7zFX9psYf+hN2TxvZy+HDw5hWcINn32AsEkoIlTw2udu57YHT7ZsLt+O+PNNOhZ+oLAsIUQxnitjW2J89auMmQAMhjY0C9r6QcjRcwX2bs1UdwXvvO1htnYlyFeCZRUbfeD2xxjLlSi1kU5O2Dr4GoRaVydhtw4Ugzb+rgVX7enn8MEhyl7A73/pEc7MlqtCcKCLyxK2cOm2nrrMpMMHh7hqTz8PHZ9ChVQbvoSRPMS9o5N1FcNLqaCNP9+BbFI3pQkBUZT80PjqLwBmAjAY2tAsi+TsbLluVxCEiqmCR67sc+ngws5dnWa3fOTOxxk5m287Hq3HE1Z98VbUkau8yPsIFLx4Xz/DPxjjg//6A56amHetCHqCsGwLP7pwow//hkP7+eXP3I8t87uJuOHLianCebtZ4s83lojQTW8UXQnH+OovAGYCMBjacMOh/ZGPusa9EYbs6ktXXzOeizp3haqaBROvoIGmMYTrTkxz7+hkdVLY3pPgn75zetHxxMY3JggVc5Wg5etjtnS5fPrep/nfX32i+lzatdjRl+b0dFEXjEW7CVjowz98cIjLhrI8NTFHECoSto492Ja0bN/YCbWfb3fKqXYkM8b/wmAmAIOhDc2Ctm5U/BRTCUKEeeMJ8yvom+4YYWy2VO3uFRvvP7nzCCnXYlt3kpEzM9w76q/aexBgoka/59KhLNc+Zxtf+M4pQKtunpwuoUIFSnj09AyOZS1oy/iuaw8u0OlZCbXTzSbAtp4wE4DBUEMrd01jlk7trsAWnb0Sd9cCqlk5j4/lIRJja6TihTw92bzfbi1xCmiza3RC7WldCZstGZerL97C1RdvqRre7T1JzubKBApSjk13yuG2B08C1O1UrrtqJ/eOTjY11ucrumaydNaONVcDXQpGDdSwmtSmfPpByNlcGS9Q7OjVefC1AV6YX7Vmkw7j+TK9abfuvKRt4QUBftg+m2cxbNH6PBVfLes6MQlb6E27fPC6K6uG99oP3c3RyQJeoKpNX+xINGjPlkzdir+Ze6aZiqdx5awfWqmBmgnAYIh40y33MZYr4QeKUzNFLEQLqkX9cnf2pXBsq6lhi3P3j4zncS2LbT1JTkzr1X1j+8Sl0JWw8EOt/Lncv9TawjDbEg4MZbn9HYcYHhnjlz/z7QUNX2pfm3Lqff6NMs7xZ9co+exaQn9XclNLMa8HliwHLSLPE5H7ROS4iNwiIv01x761WgM1GNaC4ZExHjw2xbHJAsenCiilM2xio2uLMJGvtK1QPTVT0q+N9PBTjo0lgixUcuiI2CB7wfKNP9TvQuKuXxDl4ltWVfahcbxKqWqBlh+ETYuzjk8VFlQD+0HIkfG8kWJex7STgvg48HvA84DHga+LyCXRMbfVSQbDRiN2X0Ry+4QK/FgzP2pYrlsP6uVxY4pkq2rWbNKB2Kiex7h0h65wQeeu5aCIdXy0eNvwyBjHpwps60kuqDaOCZWehEKlODtbblqc1Uzj6GyujGtZy9IIMqwu7YLA3UqpO6Lv/5eIPADcISI/z/JcmgbDuiAOWj54bAoBetMuUwUPEd2T1gvDquZNbYrkRL5MoRLwspvuYnd/hqm5ctNq1ulCBRFQ5xEDqK0C9s83+rsIjugU1e6kQyUISTlRQVmT24VKF36FqnnWT5zOOZEvMVPwKAe6F8FQNlH3OiPFvL5oKwYnIr3x90qpfwf+X+CvgItXeVwGw6pSK7kQG7apgkd/xiURpd0oBYPZBEppBc2BbILxXInxfIWupF11axwZz+MHIQPZJCG601YQhpQjITe7yV+ZwAKBt1qWY/I72TBYAjv6Mri2oJRitugRKlXdITSONX4kHaulRPN1V+1kcs6jEihSjk3CFiYLHrnSfAqqkWJeX7SbAG4CLq99Qin1XeBVwD+s5qAMhtWmVuMnYVsI2lefL/tctr2H7T1JelIOSdfmot4Uri2cmNbGvzflMJBNkS/7nJgsEITw9GSRs7Pa16319PV9AtU8sAp6gtnWncSxhJRr1f0xnq/TR2DR2cMS7bLpSbukXZuJfFn32LUE25K6icmxIOlaJBwLxxK6kq2dBveOTrKrP83lF/WwfzDLRb26WO7MTMlIMa9TWv42lVKfq/1ZRDJKqYJS6hjwK6s+MoOhDctt9F2r8RPr0IjSPvdCxSfh2HzgJ68AtJtkR1+atGszciZHruQzNltiIl+ua5ZS8kMqc5WWvvRa4peM58ugYFtfWruWvEDLLMCiYnAxllCNVSzmLRLmjT9od9ZU0Qf0qn17f4rulMuRszlCpXBtq6r739PlsndrtuW1G3WT9D0UZ2bLzBQ9U+S1Dlm0H4CI/LCIPAqMRD9fKSIfW/WRGQwtWInmIbv7M0zky4yO53XKp2hXiG1ZdZrxtTsFEe3nR7Thjhf2VRdJZIBj490JoYp686Ircmv/IDsx/v0Zhy1dCTIJu6NCMR1YDlBKVd1ZKFUXvM6VPLb1JAkUbO9N8axt3WzvTeHadtvVe7NAcCUISTqWCRquUzppCPMh4D8D5wCUUg8Dh1ZzUAZDOxqN8vlkl7xk/xbG8xUqQRitnBUhwtsPX8Kt119TXaU2pjfG1b6hqtfkcW1LTw4RziJ/WQLs3ZqhK6FTRc/Oljg9XVxyte90wSdf9vH8gJRr4drSdPKJYw626EYzM0WPQiVgqDtByrVBSTVldTxXxrEtLhvKMtSd4sxMkfFcuapv1GqibWx2M5EvMZarkEnYJg10ndKRFIRS6rjUR5YWV58yGDqknTun2bGVaPR97+gkQ90JZov+vIsj7XDv6CQ31ryuUQ20J+1S9gPG85WqlLJCK3TaSHUnYFkWTQX0I0SgO6Xfw/HJAl4Lv9FibiAFhKHCC2FHXxIQTkwX62Se49fZIiRs/djVn+HUzCRBqMgkbKaL3gIp5ve87iCgXWC9UYVvu4Y4jbo+c+WAwWyCwUgsrlYkz7iB1gedTADHReSHASUiLvCbwGOrOyzDZqFdxy1orqSZTdjn3YEq5vhUga1dSQay80qWSqkFk0gzNdCEY/P6K7bzT985XTXOoYIw0MbUESh4YVvjrRTkSh7dKbftql+ii7R6Sbx7AR2ItqLXN7t3ECpKSlH0Q5yJPElbqAQhlaJu5l6oBAukmN90y31NG+K0MuK1uj4vu+muZU/UhtWlkwngV4EPAzuBk8C/AW9fzUEZNg+tOm7F7pxmx0QELwiX1IGqcSfRnXQ6nkTCMGR0qoRSkHFtfvXl+7l3dJJtPUmm5ipUokiwawt7+tO8+7WXc9MdIzx2JtdyPJYFZ6YLjNt22xV+qCBpa/XRVhNFbZZRu8nEsrQshSW6p0E8SViRW2h7b2qBzMVydlvNeimYNND1xaIxAKXUhFLqvyiltimlhpRSP6eUOnchBmd45tNMQiA2MK2O5cv+khp9Nwsaj+fLzBa9ts3Z4wbrZ2bLuJZ2nVSCkE/+x1N8c/QcZ2fLVAJFwtaCaZdt62auEnD44BC3v+MQL9m/lb50izWWglJAR1r+KvrHFnCteR+/U5Ov2azaOGFbdRLVWpqCapYRkchcoLRhbvY5NgvsdmrEG2MCJg10/dFyByAif0ob96NS6sZWxwyGTllsldjq2FIkhJvtMoCqUFmttDFoYbPjUwVmix4lL8AWqbZBVGHITLFeu78cKI5PFRjqTrJvQKdJfuTOx7n/6DladXasTR/NJm0K5UC74Kn/oxPACxSuLVwyOC/eFrvGnhzXej7NMo8saz5QbQvsH8zyyKmZ6nGlwLEsICTt2gsE3qBFQ5wlGPGuhF3VHNq3NcN7Xvds4/9fR7RzAa267KaIXIt2L9nAJ5RSH1jtexrWF4sZmOUYn5hWboyZoscdvzVv9BrjEWdmSvihwrW0nENtK0aYN7hxl66pgscHDu3nI3c+zofveqJdDBjQxrFQCciX51fYtcbftaUqQxGGStcMMB9s/cDt9aG4Zj7/hG2hbKnqCUmU7qq/19cFLRHdjPNt2FL7WR4YylL0Agpt+hwb1oZ2hWCfrv1ZRHr006q1Y3MJiIgNfBR4DXAC+LaIfFEp9ehKXN+wMVjMwKxEt6hOfdGNO4WkYxFUArxQIU02w5bMr+QV8zIJN37+IR2cbTOmOFuoXXBXr84jQy2KSo2z//DBIT5w+2MtA80JW7hsWzdFT6d8ClqeOWkL5ZoGNY4tdKfc6s6lGefTsKVdbMfsANYPiwaBReRq4C+Abv2jTAO/pJR6YJn3fhHwhFJqNLrP54E3AGYC2GS0MzDL7RY1PDLG1FyZo+fmqjr9jm0xW/RwLakKujVLL+1K2FUffTMjGzQ8OVvy+cidjzNXCbBo37xFQd3Kf8HxyC8fi9GJ1K/Sh0fGODKex7aaS01cMpitVt++53XPBrRRnil6BMqnP+MykE2uSFvHZqxEqq5h9ekkC+hTwK8ppb4GICIvQ08IVyzz3juB4zU/nwBevMxrGgxVat0Qu/rSnM2VOT5V1PIGfkiu7LOtO8lYrsQ7b3uYuXLA6ZkiKccmm3SYLvodySvU8uGvHsESWvr+O0VkXpo6CBV9GYfB7lRdfMIW3XfAknn3lCXwrG3d3P6OhbWajbUVrXZVy5XZAJMBtFHoZAIIYuMPoJT6uoisXgfrBkTkeuB6gD179lyo2xqeATS6IUA4OV2k4odaBTPUTVz6IxnoMNSr9rlKwFxFr74dWwgbl/ptCNTCnUGMoP36lQ6uV6sHZFl6tzCeL1MJwmp8QimFiN4hJBxLq5Aq3by9GY2G/Q/e8Ny2rR0b6zKWMgksN3hsuDC0ywK6Kvr2bhG5GbgV/X/yZ4DhFbj3SWB3zc+7oufqUErdAtwCuiXkCtzXsElodENM5Mt6tYzW2I+DoeP5SlOfvQL60q7Wy1kizXYOrm1FUs3t/xtrt0+swa8LihWK3rRbF5+oBCF2FNwte7prWKYhbTamlWG/7sR0XdP36UJlRXz35xs8NlxY2u0A/rjh5/fVfL8ShvjbwAER2Yc2/G8EfnYFrmtYQVbCHbBW7O7PcPRcvir34AeqqpXfaJzjRblE/8Tpk1OFpRv/pC30d7lM5CuE4fzEUgl0dXBikV2AY0s1AAzaveOHqloTMVv08AMt1+Chqk3jAXrSTt2KvbHpzfbeVFU/aTxX4qPDT7KrP12dFI6eK7CrL1U3nvP13S83fmNYfdplAb1iNW+slPJF5NeBf0WngX5KKfXIat7TsDRWyh2wVrxk/xa+dXQSS/SKPE7XbIeq/qNppeXfju29acZzJYImzbUUsK0nxemZ4oLj8a4hCBUWerKKxysKnhjP4wW64YwdCbvFLidXhG09KXrSbl0ldfz7C5VCgFPTJXb0aR2iXMnHD8O61b5rC2dny/Sk5zt5Gd/9M5eOxOBE5HXAc4Dq0kAp9f7WZ3SGUurLwJeXex3D6rCeU/k62ZncOzrJYDZBruRT6KDitpFO9fhriYtzy/58I3epuZAlsKs/w0+9cBcf+uoRiAK3tiWRlJx+oRNVHSdsC9e2mKsE+FGHMQA/qgy2Lal+jTX+4xV7Y9MbP+r6Pp4r051yKfshyYZ2Zdu6k5yYLhrf/SahkzTQPwMywCuATwDXAd9a5XEZ1gHrLZUvNvqPn50lXw7Y0uWytSvZcmdyfKrAQDZJ0rE5Nrm0McemWLtsLIIwxF+s0xZ6xX5ssrBw4oguGCo4MVXgxldfw2fue5pC2ceLCrYGu5NakG66xO7eVLVb19lcGQsdQ4j7A0v0s21pXaS4YT3Mr9gXa3pjW0Jvpv7369gWBwazCyqk13rCN6wOnewAflgpdYWIfFcp9fsi8sfA7as9MMPas5RUvqVKOi/FoAyPjHHTHSM8PpaPethqBcxzeY+kY9OdcpvuTOLxxy0Pa10qi1FdvQPloDM/UGODmOqtGtQ8Z4oewyNjHBjqXvD5Fio+lw1l6cskOHJ2llw5wELvCGrHrhu7hAxkE0wVQhxLV/jWrthvvme0ev14d3A2V0KUMNSd4g1X7uC2B08uWO1fKLmGjRxfeqbQSUOYYvS1ICI7AA+4aPWGZFgvdCrm1a5D13K7d8XnPzUxhy1akqHsa+d53LwEmu9M4vGX/bCjXrmOJbg1fxH2ItW8Ta8hkEnYdUVbjbe1RPvmX7J/S9PP913XHuTW66/hwLYedvWndcOWJrXICpicq5B2LfYNdC0Qxmv8/Tm2Nvw3/9wLufX6a7jx1ZctSVRvJVmJrm6G5dPJDuBLItIHfBB4EP3/7hOrOirDuqDTVL7zkXTuNI4QXzt2ccTa916UI1lG6+rblizYmcTjf9tfP1B1nTRSu1Lf2Zfi9HQRC90gvdU57fAVSBAStMjysUXXGaTcgHtHJ3n/65/T8vONXTiD3UlOTZfwmuxEAqV7D/RlErzr2oN1n2knv7+1ytRZz/GlzcSiE4BS6g+ib/9eRL4EpJRSM+3OMTxz6MRAtIsVxLn0zY51wvGpgl75t2mKcvRcASuSSh4eGVsw3oRjUWxSmrutO8lQT4rxXIlCJdAukHC+yxbUy0Holop6Ze/V+OIdq77y1w9ay0AkHJswVORKPiemCm0/39iF1Z1y2dGn32eMYwlBVLgWhqplHGS9pmKut/jSZqWlC0hEXhl9/cn4AbwOeFX0vcEAtNeMX46efHzts7kydo32fTMc0Ua50Y1w0x0jzJUDHEtovMS5uTJHzuaoeAEHt/cwnqtUDXcmYXPJQBf7B7OkHEvvFJQuIAuilMr4dQnHxrVjtc3276foBVSCkFIHn0GtCyebnF+ruZZUd0Ix59MXeS1Z7v8Lw8rQLgbw8ujrjzV5/Ogqj8uwgWgXK1huU5D4/EXsP6pFc/jRiTm9O7Atko5d1yDFD6Hkh0wWfb51dBIF1abqnh9wYqrAo6dn8EKd0hk/whqZhp60Q9mPZCMsIbHYQKNrBAqOjOXa+rwPHxyq89FnXFu7p0SqY4B5kbiNtII2zWLWB+0Kwd4nIhZwu1Lqby/gmAwbjMMHh7juxDSf+PpTzFUCuhI2b33ZvhWRdD58cIgdvSlOTBXrnm/M0Q9CRa7kkU06bY1gMz96fL10wsKPjmuXjiLpWIRhCKJX9/HpjqVdSLu3Zpmc8xCBi7p1IVau5NW5a1oxka/wztse5oPXXdmRGmrcoSxf9pFo8WwJXNSXBjbWCtpIRawP2sYAlFKhiPxXwEwAhpYMj4xx24MnGexO0h+EnJ0t8+G7jvDl753m3a+9fFl+6OGRMYpeEDVGUXX6+7XYlnBqusTWrMverfPa9vu2ZnhifA4J9fq9lW9eARVfYYvukBUTZxBZAknHZv9gltmix0S+zOlchd1b4e2HL+G2B09GqZoqKuqa3yU03rNWbiJX6izwGadMKqVrBlxLy0ls6XLJJp0NuYJer/GJzUQnaaB3isjviMhuEdkSP1Z9ZIYNQ5zREYSK0zM6594W4ehkYdmpfTffM0pv2mVnn06HtGRh60PHEmwRFIrJOa/OCL77tZfTm3ZQhJQXUeGsykU0ORb3zZ0tepyaKVIJQhyBh45N8eG7jhAGAWUv4MhYnhNTxaqgW8K2Foy3dlYo+SEPHptq+xnVpkxe1JvWE21XkrcfvoS9W7MXPIXT8MyhkzTQn4m+vr3mOQVsnKWGYVWJMzqemphDRPuoFdotE/vkz9cwxVlAE/kKlUD3rh3IJjgxXeLy7d3kSj4TkUxywrZIu1bdvS7b3s1zdvRyz5GJRe8VqnmphVpqO39NRG0ZlYKASI5BhLO5MiHCUHeChG1xbLIYCcGFCwrQGovRlFJtNZZapUzeOzrZtI+vwdApnaSB7rsQAzFsXOJ0xUoQVrN1lCIyyDZHzs5WG5l0UvFZWyF6Ll+m4oc4loUtgh8oTk6XSNhC0QvoSbvVKtdCxWeoW8tV5Uoen/r6U3zy608xW9LtK2xLqpr/tdhRf8ZWef9h9BpLhJIfkrTng7DxZFcOFI4NU3MeodL38qN7LVZ9XAkUFT9oOVGalEnDatGpGNxzgWdTLwb3mdUalGF90qp0P27+YYs2sAKEKAayKSbyZXLlYEHFZ6vV7gIF0tkSgQJRCifOsFFa2ybOIollDGaKHo7AC97/bxQqga4YRqdq2iLs6k9xbLJI2Q8Jo764Agz1JHEsi+MNgeYYpaA34/Ks7T26veRkgZIfVusC4obrluiYQcKxcC0LpYLqzsGKJpBmk4xAtS6gGaa7lmG1WDQGICLvA/40erwC+J/A61d5XIZ1RrvS/Thdcd9AlzbWFuzoTeHYwlTBY0uXbmQiLVI1a6l1d0i0unasefeMYwk7I7362hRJR8DzQ45OFpkqeFXjn3AsnrWtm139aSqBYiCbRARcyyJhC0nHwrVtuhI2rrUwvgD6uZmSz/aeBOfmKlpVE50O6oUKL9RGP7bttT0HRCDlWNW+vrXXlPn5jLIftjToJmXSsFp0EgS+DngVcEYp9RbgSqB3VUdlWHc0GuZGQ3744BC3v+MQn/yFq3nB7n5CBUPdKbpTDlu7knXXaue+OD5VIO3azBY9RsfzkQSyXj0f3N7D/sEsjm2xqz/D4YNDfO5XXsyn3vxDjM95zJT8quEXtNvGEZgteYzny8wWPRxb2NGbQqGoBAo/VGRci/F8mb4GZcyYhC0MZhN8dWScnrSr9Xmc+T8d17boz7iEStcRhKGqupocmXeHLQgI1zShsS1padAb6wFMwNewUnTiAipF6aC+iPQAY9S3cjRsAjr1Qzem9r3plvtaui+auZR292d4aiLPubkKFlKVWfBDxWyxgmNb1dXv2dkiN989yue+dYxSpMWgjaxCKbBswQtV9d6uJfR3JTkylkNE2N6TYCCbpOgFTBe8pr18XQsu296DUorHzuTY49qISNRQxWNstkQ5UOwbyPKzL9rC7d8/E6mWQkLpArXYHQZaCjpQOkMorimwLZ1K2s6gm5RJw2rQrifwR9F9gL8VicH9OfAAkAfuvTDDM6wXztcP3ao5+Ev2b2neo/aqnXzzqXORO2XeIids4cxsmav29PMLL9nDkfE8v3Pbw0xE/XodS+hJOWzvTXFkLB/VDVCt/E27NmdmivR3JcmVfCTK6xfR6astM0RFOHI2RynaWTx+NseOvjTdKZfulIttaYXNOBvnxldfVp3YjozlyJV8+jMu3SmHohfQ35Ug7dqM5crYlq5TiGslDIYLTbsdwONoBdAdwBx6MngN0KOU+u4FGJthHdHKkC/mh25VJXzv6GTT1Ma/vf/4gn69AL1ph6Rj8/MvuZg/+crjHBnLV48NdSf58edfxB2PjOkgrG1F/XeFbNJhdDxf7QjmnssThCGWCKdmdNA3Tu2Ehc3c4767MZVAcXyywK7+dN1upPE9N/ZCiKtdL5TWvsHQCaIWyVETkYvRDdvfCKTRE8HnlFJHVn949Vx99dXq/vvvv9C3NUQ0GrNOSvdrs3pqJ45CxWd7T4p82Wc8V6bsh1V1y1pqK2l7Uy4zJa96LJOw2d6TAhR+CNddtZN7RyerjVS6Eja5kg+iFTp160WrWvCFmm+9GLdLdC0LLwibFoM10pNyeOvL9nHjqy/r+DM0GNYCEXlAKXX1gucXmwAaLvIC4FPAFUopewXH1xFmAlh/LNbVKY4BBKFiPKcLtmwRLEvoTTucy3soVFsJ5UaSjkV/2mGgO4VEqTRxDUDsihkeGePGzz9EoRKQdCyKXlCVlJZq+ibVqmUvCHWnsQ7HYAvsHejCC5QJyBrWPa0mgE56AjvAa9E7gFcBw8DvrfD4DBuMuE3jD87mqob1xFSR+5+e5DdecWl1VRxX8p6eKWvDGxVjlSshZT+gw26LgPbz96YdJuc8AqV4amKuWgE8kE3UBaQPHxyiJ+2yZ0uGfNnn6XOFeW2e+Bt0dtG+gS5OThW07n+Hs1CoVqbSOca0RzSsBe2CwK8B3gT8P+gm8J8HrldKzV2gsRnWkMV6/L73i49wZqa4wF/vBYo//fcnuGJXH4cPDrG7P8NDx6aqEhEQN1FR8jxgxwAAIABJREFUeGFzsbRmpF2Li7d24doWudIsE3mPRKTTX6gEPD1ZJOPadQ1h4sD1eBRwjTpJVnPwRYSbf+6FHD44xLUfupujkwXCKJtosTE5tjCeK7NvoGtBJtRSjfmC4rdFiuUMhpWiXR3A/wd8A7hcKfV6pdTnjPHfHHzkzse54bMP8K2j55jMlzl6Ll8n6hbXBHgtUme8QHHzPaMMj4wxNVem5IdU/BA/CHWOPArL0v/1avX523HJYBY3em2oVLV4qlLjOvKCoG6ccQFVyddqok4kJGdZuno3CEP++xe+z5tuuY/xfJlLB7Ps2ZLBsQVbmg6jOmbb0rGDxkyo8+l1u1iNhcGwWrT861NKvVIp9Qml1NSFHJBhbRkeGeOjw08SKoVrWwQKzuU9vCCoGqS4WKsVgm528t4vPoIXKpL2fBtFL9QB17hgq9yBDyhhS9XXnyt5+OHCil0LQGRBcdr7X/8cuhIOQQhJ12bPlgy7+tJRVbFVNdL5sm4AM5Eva/dOw9wm0T0keoShimIH9VlA52PMm32eRuvHcCHoSAvIsD4YHhnjA7c/xlNRs5H9A10LGoEvl5vvGa1KLghaviBEMVPwOGEVGB4ZY7bocXqm2NJ/41hQ8UN609oAbu9Nc3yqoIOsTQxrK3eLJdCdsJkpBzx6eoakbVW1dKqFVDX9gmPxucZYwEfe+IK6TKQnxnUK6fbeVNVIZxIWUwUf19bFZ/G8lHaEUqDqehKLBX4Alwwu/PzPR7jNaP0Y1oo1mQBE5KfQgeTLgRcppUxqzyLE3aCmC161PeKRsTzvvO1hfv6ai7l3dHJFAojHpwokHQs/UFWtGhG9Us8mHd77xUfIJHQ6J0oRNJxvAX2ZBKFS1VVtT9rFnbWo+PPplbHhb+drT7va+IM28mU/JFDQm7Qp+oqAsHoBBdWq3kbD2dh9SinY2ZeiOzVvqHUzGKo1BHE9QNFfOMKBjMsf/sQVTT/j8zHm51tjYTAsl84csCvP94GfBO5Zo/tvOG6+Z5R82ccWwbas6CHMFD0+OvzkknzO7djdn6E75RAS6dlURdgslNJZL4PdKXb0zjdosUSv+pOOxbO2d/PB665kMJvkifE8I2dmGR3P4wUhsXzOYoHf2N0yFxdvWVpvx44E3MqBYkdfiqRjVa+TdCwce6FLJubwwSFuvf4avvauV3LVnn6chthD2Q9JOhb7B7Mc3N7DYDa54Bqg3+tsOWg5wZ6PcJvR+jGsFWsyASilHlNK/WAt7r1ROT5VIAhVvaKk6MrUINK7WYkA4g2H9pNwbLZ2JXBsLV9sifD2w5eQrwR1q/r9g1l296dxbYvtvWmu2tPPu649CFBVzRSg4geRcqa+R+0uoPa9JG1dpJWoMeyuBY5tY0nkjgoVJT/k+FQBS2BLxiXpWHQnbVxL6ErY1cBuq0mwmZG2LaG3Rgxupug1PTdU8xNTM87XmNdOULdef40x/oYLwrqPAYjI9cD1AHv27Fnj0awdu/szTOTLqLBGRjiykkmnfh5fTgCxXbPue0cn69wbs0WPk9MlHKs+fTHj6t2JLbRsw2hHXbbsyNVii87OcbFwLCGIGqr4IfhhoNM20ee4FiQcO3IJBbz98CVcsauvo1TKOEVzruzhBYqEY3FgqJs3XLmD2x48SaHi4wdhVfunGclFMpeMcJtho7BqE4CI3Alsb3Lod5VSX+j0OkqpW4BbQFcCr9DwNhw3HNpfjQGocF6P3rWF7lT9r7GZz3kpuemtDFitr9oPQo5P6ToAxxLyZZ/ulEuh4ld1epr9spKORTmKBQiQcrUW/3TRJ1QKRFH2dXSgVpentmA9nlN29qVxbOHL3zvNJ77+VLXqdyCbpCetxxLvhBrF2S7qTdf52g8fHOKKXX3cfM8oDx6bauum2tLVXDbaYNhorJoLSCn1aqXUc5s8Ojb+hnkOHxzif113JZcOdiGi0yIPDGX5jVdcSsKx2/qczyc3vRVdCZtj5wo8PamNv2tpQ3lquqTlmqOVfdCQ8RO7e3b2pXjujh72DXSRcP5ve2ceJtdZ3en33Ft7V/XeLVlSa0XGGOMNeQPHFsEZzDJ2ALN4EoiDB9ss4zAzTILHBBg8PI/9MJkkBBNQWJwZjJ3BQJwAngGCZRPwIsvCGxK2tVhrqyX1UtVde91v/rhVpapSVa/Vqq6q8/oPqW7VvfXdW/I533e+c37HIhLwsKwryIruAJ78rD/kszmjK4glgseS4qZ3AZ/tblIfnkgQTaR56dgkU+msW+xVPJ4ptqMs3Hs85TqZE1NpRqJJhieSHBqPc+v9O4oFZPfddCkDET++GoUAVr6ATFFagSUfAlJOUmtmXpi51hJpq9VUfC4SBqXVql5bigJrBsnPlg3D0SSVGfoWrr5OwRe4XbLcsfR2eBmdytDh9xD2e7AtKWrrfPrB51nZHSg2g8cxJR238t21HDgxlSkWZmUdg2UJOK7Cpyv0ZujK33vGMe7ncoZjk2l8HjfcFE/nysJFQz0hjkwkTlkFCG41s6ZnKq1Co9JA34nbYnIA+JGI/NoY85ZGjGUpsFAdmJlizvVoKl7qRAqG1Ml31BJjyFII07gm02cLxpTLPQjuSmFFN0QCXvo63L6+g5HAKc5r6FE3nXL9QBiAXcNRLON2B3OMuxlucJ3Csk4/IsLh8SQOJ8NIhRh/YePal68jKKiOWiI4Dvg9Uqbpc/MV63l6/xhZnDKtooKWkaZnKq1Co7KAfmCMWWWM8RtjlrW78a9XeKYWQz0hN2+/hLkWGpVWq/psC8cx5NUcyJiTMfrlnQFufONaBiIBLBF8thRbIdriGtFjsVRxDBsHI1WzXyozdWxxa3AHwj53kzifnRTy2Xhsi0jAe0oY6fPXvJaNg5HivQ9E/GWKoAVZiv6wv8whbj5rkI9t3oDHstzN6fwGtNe2ZuzcpSjNhIaAFoG5zOjrEZ6ZicvW93L31t1kHQe/bdEV8uK17TnNZAsFTgGPTXfQw3A0dYpcghu793Pp+j5+Z+MAN397e7F2oDPoYzyRwRhXBmKm/PjKbKR1/R0cm0wRCXoZ7AwUN3Cvu3BlMXunMoxUeH6Fjeuw30Nf2MvwRArJ9wLoDweKG8alDvHWq86cMbSmKM2OOoA6M1dlx3qEZ2YazwNPH6In5CWWb5o+OpXhY5tXz8mYXbS2m68+sqcoAFdq+y2Bng4vg+EA0WSWO360k89f81ouXN1TljYa8nk4Gksixm2jWM2gzqRCWs0gT2eoKx3J2r4w11+0mgeePlSUhqjljDSdU2l11AHUmcKMPuec1Ku3Rbjr/+6qm3TAfMbTFQwwEHGPxdNZHtszyq0znPsf73+aB585cnLzlXLDv7zTz0QiQzrrkEjliPtyZemXlRIHHlumLYyayXlWa7X46Qefn3aVVcuh6OxeUdQB1J1aDVBeHJks06ovMJ0OTD2ahMx3hfGJ+7bzj88Mlx0rGP+g15VkGJ1Kk803Rck5FHvsRgIeDo7Fpy0qq0ZlOCybM4zEktz87e1cuLqneO5sV1mzcSiK0s40SguoZRnqCXE0mio2QCn8V0ueoZZ0AFCXzeFaG8Bhv4frtzzO5Xf9vEw2wRjDeDzNgxXGv/KambwEBeBm3DhuS8XjkylOTKWYSGS4/K6f87VH93DZ+l5W9YQ4MBYv9gmoRulGczSR4fBEAscx5Byn7P4LjiKbc1dZ+0fjjMSS3PnQzrLrqc6+okyPrgDqzM1XrOfG/7UNW8RVuzSunPKKfKpjNarNRq/f8nhdNoerrTCiiQwGSOecMudyWzrH2Ss6efi3I9OKtaWyOeJ5YZ9C1r8xkDUGJ5MjmXUYCPvoDnrZd2KSJ/eNMhD20R/2T7snUhoOOz6ZwsJNv/HbVtn9F1ZZhyeSWAi2uKusl45N8qWfvVhURj0WS7G8s1zUTXX2FeUkugKoM5vPGmTjQBjLEnLG4LGFFV1BPLY177TLAvMxXtVWGH0dPrqC3uLMOJ11OBpN8PH7n+ZtX/oFn/vn30x7zUPjyZrvOQYGwj4G8g3bRyfTOI7haDTF3uNTZHOm5iy8NPUznXMwuDr8AxF/2f0P9YQ4GnMdhGVJsTLagjJlVMmPNVoi7KY6+4pyEl0BLAKfeutryhqQzEfffbrN4bnuDRRWGIXzXjo2hd8WBiJ+so5heCKJk8+PLyhddgY8RJPZqtfz5De5K/X8C2GZ/ryUcjSRKRODK8g0dAc9HBxL8Po7flImyHbzFev5/DWvze8ZuJW4y7tO6vYX7t9dZT2FLRRXWcaAZVlkHaf4zJZ3BTg4luBoLEkk4FGdfUWpQIyZbrG/tNi0aZN56qnm6B1TK2Vxps8XjPpl63vLUhUr894rj88kOVy6IXpkPOHKKxhXpqFUs8fnsegKeFjZE2Jll5+HXjjqqnVawjXnLmfbK+N0B73sPT5FKpMrni+4FbnxdI6BiJ+Qz8OeY5PES6STRU7tCAZugdhgpx+vbRfvo3S8lff/2J5RnnpllGzOrUj2eywGIn4OjiXw2cKGwUjx2tFEmuFoisGIX7N9lLZFRLYbYzadclwdQOOZydiVOpGvPbrnlJVBPJ1lMBLgvpsurfkd1295nKPRBH6vzfhUmqOx1CnGuDvoYSDsx7KEqVSWf/3Um6teZySWLM7mLQSDW5U72Bkoc1D7R+MY40o6Q/VGMIVjAY/Fyp5g2X1UOtFSp5jNOcVQ1MruAB7b4uBYgt4OL/3hwJyejaK0OrUcgIaAlgC1qoEf2zN6iuH69IPPzzqts3RVMRJN0h/2kco6nIhnyoy/hdtjdzKVdXv5hrys7QtXHWthU9lrCyu6AhyNpU7pj3syxz6Rj88bsjX6AiAg+XaP1fr5ls7WKzfGQTgaSzIcTbG+v4OBDi9HYinGpjIs6/TjsS0N+SjKNKgDqBMLydmfS67+bPcGwj6bE1NpwgEPIa+NMYbDE6myaxVaLxbUOm1LyDiGkVia6y/qrTrWytz+C4Z6TrnX0j2Hz/zTCxwaj+PzCBghlavdaOXlkUkMrqGv9vwqn1Nn0Esk4GE4mmQqncPv87Cq2+JoLMXB8SRnDob587efpSEfRamBOoA6MFf5h0rmUg1cq3DssvW9ZWN4aSRWjJGPZjLFdowF8orOeVE08FgWOWPw2a5G/3SVwrMtoio4i1vv35Fv1iJlrSGhvNFL1jGs7A7UfH61nlM669AVPLky6Az6iKezdId8avwVZRo0DbQOLLTgaC6NxGsVjj22ZxSvLQS8tttKMedm6QxHU8X+toVOhoK72buyJwjiFqnZlrCyOwi4xVxP7x+riyLp5rMG+dL7L2BFd5DlXQFWdAcp9Fpx9fXdv/ts9/s7g76az6/WcyrsnZSi+f6KMjO6AqgDlaGJWDLDSDTJvhPxmuGMUuYqmVBtBn77Pz5H2O8hnckxmcoV0zrBNbJ9HT78HouRWIpXDYax81rOxyfTZHIOqazD4fHkyQpmYU6rmGqUhqQifg/GGNJZ2DgYRsRtI7mqJ8SLR6Oc0RUs67RVzYDXek7VNsY1319RZkYdQB0oDU3EkhkOjycxGAIea9bhoPlq0+QcV7phIBLg8HiCaDJDsiTGYgms7QuRdQyOA+v7OxidShNLusVWVv4ajgHLBoxbwbwsEsBT0iRlrlSGxQqhqjuuPadq1fNsDXit51RLT0lRlNpoCKgOlIYmRqKu8QfoD/sXTX/GcQxjU2kOjMZ58WgMjGEklioa/4DXojPgYV1fB8mMw4quIP/998/hba87g2P5Nov57omu8c8XVRUqlzuDXrI5h6f3j52iFzQb5hIWm0sIrBq1wmIa/1eU6dEVQB0oDU3sOxEn4LHoD/vpzIeF6hmPNsYQTWYZj6eJJTPc9+QBvrv9IOl8sn3QaxPwWqzp7eCDl63hHeetwOc56ee/9ugeBiM+ogm3N0A2nw+aM2BDcdyxZIaDYwkMcDSa5Phkik8+8Az/47rzZmVY55LZNNcQWIF6qKUqSjujDqBOFEITcwlnzJWpVJbRqTTJTI6Hnh/mW7/cy1jc3eDt6/Bx4+Xr+L2zl+H32PSGfYT97hhKDWVBIG0g4ufAaLkxTueMa4AJcmQiSc6AR3CF7RwYj2e486Gddc9sgrmHwBaaeaUoijqAujOdvv98SWZyRcO/bd8oX3tkD3uOTwHg91i876Ih3nfRECGfh66gl56Qt7ihWmkoj8dSHBpPYufDP3AyHdQSV+NnOJpyG78LeD1udo0IGMew98TsVjLTpatev+XxBc/aT0crTUVpddQB1Jn5hjOqkck5jE2lmUxl2Xdiiq8+socn944W3/83Zy/jxsvXFbV3+sI+vHb5tk6loSwIpKUqKnM9lpVv8m4YjPgZiaVYiExItedQKuWw0Fn7YrfSVJR2QB3AIrDQblPZnMN4IkMsmWVsKsU9v3qFHz57uCjfcN6qLj6yeQNnLovgtS36wm7ufLWYeKWhjAS8rOw27B9NFI95bcvtXGYMHsuVrQ77Pbw0MokY487+jbtZvHGgA5hd/H0mKYeFzNoXu5WmorQD6gCWEI5jGE9kiCYyJDM5vr/jEPc+/kpRonlld5BbrlzPGzb0YVsW3SEvXUE33FMrJh7xuzLIpYbSY1uctTzCsckU4/EMYIqpoD0hbzFc9V8eeIZYMks25+CxLHpCXv7s6rPmHX+v56x9MUJtitJuqANYAhhjiCayjCfSZHMOj7x4jC2P7mU46qpdRgIePnjZGq45bwVe2yLs99Db4cNjl2f3VJtdG2OKKZalhvLP334WAHc+tLMY199YIugG8MXrzqsayprvTL6es/Z6htoUpV1RB9BgJlNZxqbcatydR6Lc/fBufnMkCrjibO+8YAV/eMkaOoNefPn00kCF7AHUnl1PJDLcce05NQ1l4c9CSOfTDz7P0KMnP1PNoM53Jl/vWbs2dleUhdEQByAiXwT+LZAGdgN/bIwZb8RYGkUinWM0niaVyTEcTfL1X+zl5yWFVpe/qp+brljHqp4QtiV0h9w2jrWYbnY9k6Gca0hnvjN5nbUrytKiUSuAnwK3GWOyInIXcBvwZ/W6+FIuEEpnHUan0sTTWaZSWb7z5H4e2H6QTD4rZ+NgmI9u3sB5Q92Au2nb2+HDtmS6y857dr111wi33r+DqXSWgMdmIOInEvBOG9JZyEy+cL3C71OoDF4qv4+itBMNcQDGmJ+UvHwcuK5e116qBULZnMNYPEMsmSHnGH783BG+9ct9jOeVOvvCPj58+TquOnsZlgh+r01fh69quKca85ldF55VPJ3DYwlZx3B4PMmKbgj7PTVDOguZyS/V30dR2pGlsAfwIeAfar0pIjcBNwGsXr16xosttQKhQmbPRCKDMYZt+0b526272ZffeA3kC7nee9EQQa/tZtt0eIuN0CvZumukbON2ff/Jjdu5xsQLz8rvscjmDJYlOBiOxVLYlkwb0plv/H2p/T6K0s4smgMQkZ8By6u8dbsx5sH8Z24HssC9ta5jjNkCbAG3J/BM37tUCoRKNXtyjmHv8Sm+9shuntw3BrjVt2957XI+dPla+sN+RITOgIeekA+rRrhn664RPvnAM4zHM66QmzHsHI7xob/fxpmDYT711tecYkSnC4cVnlV/2M/hiYRbGiyGZNZZtJTKpfL7KIqyiA7AGHPVdO+LyA3AO4A3mzp2pl+MAqG57imUZvaMxdPc86t9/OjZI8VCrvOHuvnIlevZuCwCuLPg3g5fmWhbtTHcev8OosksAmAJOSffVN3AvtH4KaGUmcIthWdVEK07PpkilTV0+DyLpqapBVyKsnRoVBbQ1cCfAlcaY+o69at3quFsY9Zbd43wla27eWkkRjrr4LEg5PO6mT55pc5VPUFuvsIt5BKRsire2Ywhni8IM7jtEwvrBIOr6e+t0O+fKdxS+qwiAQ8eW8jkzKJKKWsBl6IsHRq1B/BlwA/8NC9a9rgx5pZ6XLjeqYaziVn/9IVhPvvPL5DJ5ojGMxhxZRMmkq7BDnptbrx8LdectwKPbWGJ0BPy0Rn0lHXBmmkMfo9FLp0rdvoy5IXcAJ9tnRJKmSnc0oi0TE0FVZSlQ6OygF61mNevZ4HQdEa0INZ298O7sUU4nsjiUN7oPOy3WdvXwbsuXOW+Dnjo6/DPmNZZbQz9YT8HxuJl1ze4BWP9Yf8poZTZhFsaUUylBVyKsjTQjmAzMNQTIpHJlR2Lp7Ms63RVNSdTWQ6OxxmLp0nnTHF2LoAtcEZXgOOTKfxemxXdQQYjgTkZ/9IxdAa9DPWE8Nsnz/fZwqruQDF8UxpKWWinLUVRWht1ADNQakQdxyGWzJDIOFx34SpiyQxbHt3Dick0kynXSQjgtQWPJfg8Fqmsw1BviJXdwVnn9E83hkjAw6reEKt7Q/ynqzby+jW9OIaqbRC1VaKiKNMhdUzAWXQ2bdpknnrqqdP+vQ/vPMpXtu7m5ZEY6Zy72Rr2exmLp4tKnZZAh88mnsohebfaE3ILuao1Qp8rhUwkjZsrijJXRGS7MWZT5fGlUAi2pIklM7xqWYR3X7iKv/qXF7FtQzSRYTyRBdzN1z+4ZDXr+jr4/o5DvDI6RSbn4LeFVw1G6maoNW6uKEq9UQdQg0Q6x4mpVLHZ+rd+tY/xeIZk1il+psPnbvB+4LI1gGukS3vxtiJLWWdJUZS50VSWatdwjOu3PL6oRieVdfvvJvKhndEpt5Drt0djxc+EvDYDYR8+r8WJqRQiQlfQS3fQW7OK93SxmAZadXwUpbVoqk1gjyVFo7O1RDq5HmRzDiOxJIfGEiTSOVKZHN95Yj8f+MaT/PDZI4Cb1eOzhVQ2x8hkivF4mhXdQVZ2B+ntqC3hcLooGOiRWLLMQNfrWZXWRIi4fxaKzxRFaT6aygEAdTc6OcdwYjLFgbEEk8ksjjH8y86j/NG3tvH1f93rpl8GPFyytgfHuPo7luU2bD8xlWHzmQPTSjicThbbQB8YixOsyGRSHR9FaV6WhuWaI/UwOsYYJuIZDo7Fi0qdzx+a4OPf2cEXfryLkVgKjyW8d9Mqvn3jJaSyhr4OL17bwhh383cw4uexPaN1uquFs9gGulpNhOr4KErz0lR7AAUWanRiyQzj8QyZnLuhe3g8wd/9Yi+PvHis+JkrNvbz4SvWs7I7CMCRaIK+sJ/ltlWUbzDGLKnZ72ILramOj6K0Fk3nABZSzVqZ2TOZzPLtJ17hBzsOFTtyvXp5hI9euYHXreoqnue1Ldb0dnBiKoXPczLOv9Rmv4ttoFXHR1Fai6ZyADnHMBgJzNnoVGb2ZHMOP3z2CPf8ah/RpJvPPxD28+9/Zx1vfs0gVn6GXyra9tHNG5b87Pd0GGitR1CU1qHpK4GnS3vM5hxG42km80beGMMTe0f56iN72D/qhm6CXpvrLx7iutevKpNqCPtdjX6PbZ3yXTr7VRSlmWjJSuBaeemfM4bzhrqJJl0RNIDdxyb56tbdbN8/DrjSDW895wz++I1r6e3wFa/p81j0h/1VdXt09qsoSivR1A6gUqs/6LXJOVn+5ucv8xfvPQ9wC7m++cu9PPTccFGp8/Wru7ll8wY2DISL17JE6Onw0RWs3otXURSl1WhqB1Cq1Z9zTLEr1pGJBMlMju9uP8h9T+4nmXE3fdf0hrj5yvVcsq63rBFLJOClt8M3Z5nmZmC+lcEq+aAorU9TO4ChnhDD0QQ+2y6GehLpHD7b5o++uY1jkykAuoJebnjDWt5x7hllRt7vtenr8M1aprnZjOJ8pRtU8kFR2oOmLAQDSGZyvOf1q0hmHLfhCYbxRJqjsRT7x+Icm0zhtYX3XzTE//7QxVx7/oqi8bctYSDin5NG/2LLLCwG860MVskHRWkPmm4FUGjDOJnKcv7qbv7kdzfy94/tY8/xqWLzdYDNZw7w4SvWcUZXsHhMROgMeOgJzV23Zza9gZcaM/UErvd5iqI0F03lALKO4eBYohjumUxm2b5/jJdGJsk67rGzlkf46OYNnLOyq+zcoM+mr8M/b92eZjSK860MXuyKYkVRlgZNFQLKOQZjDNmcww92HOIPv/EE391+kKxjGIz4uf1tr+HL/+6CMuPvtS2WdQY4oyu4ING2ZtTBmW9PYO0lrCjtQVOtAAAe232Crz6ymwNjCcCdhf/BJat594Ur8ZfE80WEnpCXrqC3LONnvjSjDs58K4NV8kFR2oOmqgTuWXOW6br+LwC3kOttrzuDG95QXsgF1at464FWAiuK0oy0RCVwPJ2jC9i0poePbN7Auv6Osve9tlvFG/TNLrNnrmglsKIorURTOQCfbXHnu17Hxet6y46XirbVI9yjKIrSDjTEAYjIHcC1gAOMADcYYw7PdN7avo5TjH844KE3VP9wj6IoSqvTKKv5RWPMucaY84EfAp+Z1Vklk3ufx2JFd5DBSECNv6IoyjxoyArAGBMtedkBzHon2rZc0bbOgIq2KYqiLISG7QGIyBeADwITwJum+dxNwE0Aq4aGWNUTaknRNkVRlNPNoqWBisjPgOVV3rrdGPNgyeduAwLGmM/OdM1qDWEURVGU6TntaaDGmKtm+dF7gR8DMzoARVEUpX40ZPdURDaWvLwW2NWIcSiKorQzjdoDuFNEXo2bBvoKcEuDxqEoitK2NCoL6N2N+F5FURTlJJpAryiK0qaoA1AURWlT1AEoiqK0KeoAFEVR2hR1AIqiKG1KUzWEEZFjuGmjtegHjp+m4Zxu9N6aj1a9L9B7azbWGGMGKg82lQOYCRF5qlq5cyug99Z8tOp9gd5bq6AhIEVRlDZFHYCiKEqb0moOYEujB7CI6L01H616X6D31hK01B6AoiiKMntabQWgKIqizBJ1AIqiKG1KyzkAEblDRJ4VkV+LyE9EZEWjx1QvROSLIrIrf38/EJHuRo+pHojIe0TkBRFxRKQl0u9E5GoR+a2IvCwin2r0eOqFiHxTREajcVR8AAAElklEQVRE5PlGj6WeiMiQiDwsIr/J/1v8k0aP6XTQcg4A+KIx5lxjzPnAD4HPNHpAdeSnwDnGmHOBF4HbGjyeevE88C7g0UYPpB6IiA3cDbwVOBu4XkTObuyo6sY9wNWNHsQikAX+szHmbOBS4GMt9JvVpOUcgDEmWvKyA2iZXW5jzE+MMdn8y8eBVY0cT70wxuw0xvy20eOoIxcDLxtj9hhj0sD9uJ3vmh5jzKPAaKPHUW+MMUeMMU/n/x4DdgIrGzuqxadRHcEWFRH5AvBBYAJ4U4OHs1h8CPiHRg9CqcpK4EDJ64PAJQ0aizJHRGQtcAHwRGNHsvg0pQMQkZ8By6u8dbsx5kFjzO3A7SJyG/Bxmqjh/Ez3lv/M7bhL1ntP59gWwmzuS1EajYiEge8Bn6iIJrQkTekAjDFXzfKj9wI/pokcwEz3JiI3AO8A3myaqIhjDr9ZK3AIGCp5vSp/TFnCiIgX1/jfa4z5fqPHczpouT0AEdlY8vJaYFejxlJvRORq4E+Ba4wx8UaPR6nJNmCjiKwTER/wfuCfGjwmZRpERIBvADuNMf+z0eM5XbRcJbCIfA94NeDgSkffYoxpidmXiLwM+IET+UOPG2NuaeCQ6oKIvBP4G2AAGAd+bYx5S2NHtTBE5G3AXwE28E1jzBcaPKS6ICL3AZtxJZOPAp81xnyjoYOqAyJyOfAL4Dlc2wHwX40xP27cqBaflnMAiqIoyuxouRCQoiiKMjvUASiKorQp6gAURVHaFHUAiqIobYo6AEVRlDZFHYDSNuTVHt9ScewTIvK3szz/8yIyU6He1mqKpiJyg4h8eYZzzxKRx0QkJSKfnM2YFGUhNGUlsKLMk/twi7L+X8mx9+MW102LiNjGmMVWlh0FbgV+f5G/R1EAXQEo7cUDwNvz1bkF0a8VuHLNT+V14P9b4cMisk9E7hKRp4H3iMg9InJd/r3PiMg2EXleRLbkK0kLfCDfj+J5Ebm4chAiMiAi38ufv01E3ghgjBkxxmwDMov1ABSlFHUASttgjBkFnsTV6Qd39v9/cAXpNgHnAleKyLklp50wxlxojLm/4nJfNsZcZIw5Bwji6jMVCOX7UXwU+GaVofw18JfGmIuAdwNfX+i9Kcp8UAegtBuFMBD5P+8D3puf5e8AXovbxKVALcntN4nIEyLyHPC7+fNKv6Ognd9ZpXPbVcCXReTXuBpBnXkVSkU5regegNJuPAj8pYhcCIRw4+6fBC4yxoyJyD1AoOTzU5UXEJEA8BVgkzHmgIh8ruKcSn2VytcWcKkxJrmQG1GUhaIrAKWtMMZMAg/jhmbuAzpxjfyEiCzjZHhoOgrG/nh+5n5dxfvvg6LA2IQxZqLi/Z8A/6HwQkTOn+t9KEo90BWA0o7cB/wAeL8xZpeI7MCVDT8A/HKmk40x4yLyd7i9jIdx5Z9LSeav6cXt3FbJrcDdIvIs7v+DjwK3iMhy4Clcp+SIyCeAs9uhMYnSGFQNVFEUpU3REJCiKEqbog5AURSlTVEHoCiK0qaoA1AURWlT1AEoiqK0KeoAFEVR2hR1AIqiKG3K/we/UB3rfW4BzgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_24_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.regplot(data=simulate_xy(), x='Variable1', y='Variable2')\n", "plt.title('Scatterplot', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can add histograms to show the distributions of x and y with `jointplot`." ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:42:54.229311Z", "start_time": "2020-04-07T16:42:53.736765Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Jointplot')" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_26_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.jointplot(data=simulate_xy(), x='Variable1', y='Variable2')\n", "plt.title('Jointplot', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:45:35.332887Z", "start_time": "2020-04-07T16:45:35.329259Z" } }, "source": [ "We can create a quick way to view relations between multiple variables using `pairplot`." ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:45:04.370231Z", "start_time": "2020-04-07T16:45:01.625043Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_28_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = pd.concat([simulate_xy(r=.9),simulate_xy(r=.3)], axis=1)\n", "data.columns=['V1', 'V2', 'V3', 'V4']\n", "sns.pairplot(data=data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Factor plots \n", "Factor plots allow you to visualize the distribution of parameters in different forms such as point, bar, or violin graphs.\n", "\n", "One important thing to note is that the data needs to be in the long format. Let's quickly simulate some data to plot.\n", "\n", "Here are some possible values for kind : {point, bar, count, box, violin, strip}\n" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:53:34.933294Z", "start_time": "2020-04-07T16:53:34.643281Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Catplot')" ] }, "execution_count": 110, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_30_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data1 = simulate_xy(r=.9)\n", "data1['Group'] = 'Group1'\n", "data1['Variable1'] = data1['Variable1'] + 1\n", "\n", "data2 = simulate_xy(r=.3) + 2\n", "data2['Group'] = 'Group2'\n", "\n", "data = pd.concat([data1, data2], axis=0)\n", "data_long = data.melt(id_vars='Group', value_vars=['Variable1', 'Variable2'], var_name='Variable', value_name='Data')\n", "\n", "sns.catplot(x='Variable', y='Data', hue='Group', data=data_long, ci=68, kind='bar')\n", "plt.title('Catplot', fontsize=16)" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:54:07.709620Z", "start_time": "2020-04-07T16:54:06.176107Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Swarmplot')" ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_31_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.catplot(x='Variable', y='Data', hue='Group', data=data_long, ci=68, kind='swarm')\n", "plt.title('Swarmplot', fontsize=16)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:54:17.183305Z", "start_time": "2020-04-07T16:54:16.941926Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Swarmplot')" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_32_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.catplot(x='Variable', y='Data', hue='Group', data=data_long, ci=68, kind='strip')\n", "plt.title('Stripplot', fontsize=16)" ] }, { "cell_type": "code", "execution_count": 114, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:54:35.056766Z", "start_time": "2020-04-07T16:54:34.805576Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Violinplot')" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_33_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.catplot(x='Variable', y='Data', hue='Group', data=data_long, ci=68, kind='violin')\n", "plt.title('Violinplot', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Heatmaps\n", "Heatmap plots allow you to visualize matrices such as correlation matrices that show relationships across multiple variables.\n", "\n", "Let's create a dataset with different relationships between variables. We can quickly calculate the correlation between these variables and visualize it with a heatmap" ] }, { "cell_type": "code", "execution_count": 116, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:56:32.213134Z", "start_time": "2020-04-07T16:56:32.064154Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_35_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = pd.concat([simulate_xy(r=.9), simulate_xy(r=.3)], axis=1)\n", "\n", "data.columns=['V1', 'V2', 'V3', 'V4']\n", "corr = data.corr()\n", "sns.heatmap(data=corr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like all other plots, we can also customize heatmaps." ] }, { "cell_type": "code", "execution_count": 121, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:57:47.601898Z", "start_time": "2020-04-07T16:57:47.409633Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Correlation Matrix')" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_37_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.heatmap(corr, square=True, annot=True, linewidths=.5, cmap='RdBu_r', vmin=-1, vmax=1)\n", "plt.title('Correlation Matrix', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is also a neat type of heatmap that will also reorganize your variable based on clustering." ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "ExecuteTime": { "end_time": "2020-04-07T16:59:06.438287Z", "start_time": "2020-04-07T16:59:06.101688Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Clustermap')" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_39_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.clustermap(corr, square=True, annot=True, cmap='RdBu_r', vmin=-1, vmax=1)\n", "plt.title('Clustermap', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pandas\n", "\n", "We introduced `Pandas` in a previous tutorial. It can also call matplotlib to quickly generate plots.\n", "\n", "We will use the same dataset used in that tutorial to generate some plots using `pd.Dataframe`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:24.573626Z", "start_time": "2019-04-12T04:17:24.552588Z" } }, "outputs": [], "source": [ "df = pd.read_csv('../../data/salary.csv', sep = ',', header='infer')\n", "df = df.dropna()\n", "df = df[df['gender']!=2]" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:25.013043Z", "start_time": "2019-04-12T04:17:24.931766Z" } }, "outputs": [], "source": [ "# key: We use the departm as the grouping factor. \n", "key = df['departm']\n", "\n", "# Let's create an anonmyous function for calculating zscores using lambda:\n", "# We want to standardize salary for each department.\n", "zscore = lambda x: (x - x.mean()) / x.std()\n", "\n", "# Now let's calculate zscores separately within each department\n", "transformed = df.groupby(key).transform(zscore)\n", "df['salary_in_departm'] = transformed['salary']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have `salary_in_departm` column showing standardized salary per department.\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:25.231997Z", "start_time": "2019-04-12T04:17:25.086227Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_44_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[['salary','gender']].boxplot(by='gender')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatterplot" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:25.389422Z", "start_time": "2019-04-12T04:17:25.233772Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_46_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[['salary', 'years']].plot(kind='scatter', x='years', y='salary')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now plot all four categories" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:25.953191Z", "start_time": "2019-04-12T04:17:25.410916Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_48_1.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, axs = plt.subplots(1, 4, sharey=True)\n", "f.suptitle('Salary in relation to other variables')\n", "df.plot(kind='scatter', x='gender', y='salary', ax=axs[0], figsize=(15, 4))\n", "df.plot(kind='scatter', x='dept_num', y='salary', ax=axs[1])\n", "df.plot(kind='scatter', x='years', y='salary', ax=axs[2])\n", "df.plot(kind='scatter', x='age', y='salary', ax=axs[3])" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:34:27.026225Z", "start_time": "2019-04-12T04:34:27.022773Z" } }, "source": [ "The problem is that it treats department as a continuous variable. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating bar - errorbar plots in Pandas" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2019-04-12T04:17:26.070345Z", "start_time": "2019-04-12T04:17:25.954779Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_51_0.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "means = df.groupby('gender').mean()['salary']\n", "errors = df.groupby('gender').std()['salary'] / np.sqrt(df.groupby('gender').count()['salary'])\n", "ax = means.plot.bar(yerr=errors,figsize=(5,3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interactive Plots\n", "Interactive data visualizations are an exciting development and are likely to continue to grow in popularity with the rapid developments in web frontend frameworks. Covering these libraries is beyond the scope of this tutorial, but I highly encourage you to check them out. Some of them are surprisingly easy to use and make exploring your data and sharing your results much more fun.\n", "\n", "It is possible to add some basic interactivity to the plotting libraries covered in this tutorial in jupyter notebooks with [ipywidgets](https://ipywidgets.readthedocs.io/en/latest/). You will see a few examples of this in other tutorials.\n", "\n", "### Plotly\n", "[Plotly](https://plotly.com/python/) is an graphing library to make interactive plots.\n", "\n", "### Bokeh\n", "[Bokeh](https://docs.bokeh.org/en/latest/index.html) is an interactive visualization library\n", " \n", "### Altair\n", "[Altair](https://altair-viz.github.io/) is a declarative statistical visualization library for Python based on Vega\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Exercises \n", "The following exercises uses the dataset \"salary_exercise.csv\" adapted from material available [here](http://data.princeton.edu/wws509/datasets/#salary)\n", "\n", "These are the salary data used in Weisberg's book, consisting of observations on six variables for 52 tenure-track professors in a small college. The variables are:\n", "\n", " - sx = Sex, coded 1 for female and 0 for male\n", " - rk = Rank, coded\n", " - 1 for assistant professor,\n", " - 2 for associate professor, and\n", " - 3 for full professor\n", " - yr = Number of years in current rank\n", " - dg = Highest degree, coded 1 if doctorate, 0 if masters\n", " - yd = Number of years since highest degree was earned\n", " - sl = Academic year salary, in dollars.\n", "\n", "Reference: S. Weisberg (1985). Applied Linear Regression, Second Edition. New York: John Wiley and Sons. Page 194.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "Recreate the plot shown in figure. \n", "On the left is a correlation of all parameters of only the male professors. \n", "On the right is the same but only for female professors. \n", "The colormap code used is `RdBu_r`. Read the Docstrings on sns.heatmap or search the internet to figure out how to change the colormap, scale the colorbar, and create square line boundaries. \n", "Place titles for each plot as shown, and your name as the main title. \n", "\n", "![](../images/plotting/hw2-3.png)" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "ExecuteTime": { "end_time": "2020-10-23T21:59:47.999983Z", "start_time": "2020-10-23T21:59:47.494340Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_55_0.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = pd.read_csv('../data/salary/salary_exercise.csv')\n", "data.columns = ['Sex', 'Rank', 'Year', 'Degree', 'YearsSinceHighestDegree', 'Salary']\n", "\n", "with sns.plotting_context(context='paper', font_scale=2.5):\n", " f,a = plt.subplots(ncols=2, nrows=1, figsize=(25, 10))\n", " sns.heatmap(data.query('Sex==\"male\"').corr(), \n", " linewidths=2, cmap='RdBu_r', vmin=-1, vmax=1, ax=a[0])\n", "\n", " sns.heatmap(data.query('Sex==\"male\"').corr(), \n", " linewidths=2, cmap='RdBu_r', vmin=-1, vmax=1, ax=a[1])\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-01-16T23:41:49.021245", "start_time": "2017-01-16T23:41:49.018846" } }, "source": [ "### Exercise 2\n", "Recreate the following plot from the salary_exercise.csv dataset. \n", "Create a 1 x 2 subplot. \n", "On the left is a bar-errorbar of salary per gender. \n", "On the right is a scatterplot of salary on y-axis and years in rank on the x-axis. \n", "Set the axis limits as shown in the picture and modify their lables. \n", "Add axis label names. \n", "Add a legend for the scatterplot and place it at a bottom-right location. \n", "Add your name as the main title of the plot. \n", "\n", "![](../images/plotting/hw2-4.png)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "ExecuteTime": { "end_time": "2020-10-23T21:58:12.039666Z", "start_time": "2020-10-23T21:58:11.647069Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "filenames": { "image/png": "/Users/f004p57/Documents/GitHub/dartbrains/_build/jupyter_execute/content/Introduction_to_Plotting_57_0.png" }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = pd.read_csv('../data/salary/salary_exercise.csv')\n", "data.columns = ['Sex', 'Rank', 'Year', 'Degree', 'YearsSinceHighestDegree', 'Salary']\n", "f,a = plt.subplots(ncols=2, nrows=1, figsize=(12, 5))\n", "\n", "sns.barplot(data=data, x='Sex', y='Salary', ax=a[0])\n", "a[0].set_ylabel('Salary', fontsize=18)\n", "\n", "sns.scatterplot(data=data, x='YearsSinceHighestDegree', y='Salary', hue='Sex', ax=a[1])\n", "a[1].set_ylabel('Salary', fontsize=18)\n", "a[1].set_xlabel('Years Since Highest Degree', fontsize=18)\n", "plt.suptitle('Years Since Highest Degree', fontsize=18)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.9" }, "toc": { "base_numbering": 1, "nav_menu": { "height": "44px", "width": "252px" }, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "224.8px" }, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }