{"cells":[{"cell_type":"markdown","metadata":{"id":"1FPA21vdlW0r"},"source":["# Data Visualization"]},{"cell_type":"markdown","source":["NETID: PLEASE FILL ME IN"],"metadata":{"id":"33pOecMXMJ0u"}},{"cell_type":"markdown","source":["### Problems\n","- Problem 1 (4 points)\n","- Problem 2 (3 points)\n","- Problem 3 (2 points)\n","- Problem 4 (1 point)"],"metadata":{"id":"5Kwn2f9Nzbbn"}},{"cell_type":"markdown","metadata":{"id":"qk5P7_kulW0t"},"source":["Now that we have a basic understanding of Python and data manipulation, it is time to learn how to represent data visually!\n","
\n","
\n","This lecture is comprised of the following components:\n","
\n","\n"]},{"cell_type":"markdown","metadata":{"id":"80Goh4PRlW0u"},"source":["_____"]},{"cell_type":"markdown","metadata":{"id":"gSn7nVRslW0w"},"source":["## Importance of Data Visualization"]},{"cell_type":"markdown","metadata":{"collapsed":true,"id":"-NbI3Pl4lW0y"},"source":["As has been widely established, it is much easier for the human brain to comprehend and process information when it is in the form of graphs, charts, etc. than when it is presented in esoteric spreadsheets and verbose reports. Therefore, when working with large amounts of data, it is crucial to step back and make sense of the data - and data visualization helps do just that!\n","\n","More specifically, Data Visualization is important for the following reasons:\n","\n","\n","Note that there are typically two types of visualizations: distributional (using histograms or box plots to assess the distribution of a variable) and correlational (using line plots or scatter plots to understand the relationship between two variables)."]},{"cell_type":"markdown","metadata":{"id":"A0ZeNcJIlW0z"},"source":["_____"]},{"cell_type":"markdown","metadata":{"id":"3RacC6QLlW00"},"source":["## Introduction to matplotlib & seaborn"]},{"cell_type":"markdown","metadata":{"id":"dB8rBUC5lW01"},"source":["`matplotlib` is one of the most popular plotting libraries for Python! For those of you who have experience with MATLAB, matplotlib has a similar overall design as MATLAB's graphical plotting.\n","
\n","While we will cover matplotlib in further detail below, 'The matplotlib cheatsheet' is a good resource to keep handy!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"FOxmmL1BlW02"},"outputs":[],"source":["import matplotlib.pyplot as plt\n","%matplotlib inline"]},{"cell_type":"markdown","metadata":{"id":"26b9W74SlW05"},"source":["`seaborn` is a Python library, based on top of `matplotlib`. In essence, `seaborn` is complimentary to Matplotlib for the purposes of statistical graphing."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"Om9tnW7vlW06"},"outputs":[],"source":["import seaborn as sns"]},{"cell_type":"markdown","metadata":{"id":"dwJnzHfElW09"},"source":["____"]},{"cell_type":"markdown","metadata":{"id":"rghEm4yDlW09"},"source":["## Basic Visualization Techniques"]},{"cell_type":"markdown","metadata":{"id":"kwaYVuDrlW0-"},"source":["For the following demonstrations, we'll use the famous built-in 'iris' dataset!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"BxP-0vpGlW0-","executionInfo":{"status":"ok","timestamp":1646678242869,"user_tz":300,"elapsed":146,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"colab":{"base_uri":"https://localhost:8080/"},"outputId":"dbad2ec9-4d22-424b-fca9-3e2612724b7c"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n"," 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n"," 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n"," 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n"," 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n"," 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n"," 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"]},"metadata":{},"execution_count":34}],"source":["import pandas as pd\n","import numpy as np\n","from sklearn import datasets\n","iris = datasets.load_iris()\n","# Extracting septal and petal widths and lengths\n","X = pd.DataFrame(iris.data,columns=['Sepal Length','Sepal Width','Petal Length','Petal Width']) #Name columns according to sklearn API\n","Y = pd.DataFrame(iris.target)\n","\n","Y.values.ravel()"]},{"cell_type":"markdown","metadata":{"id":"4qO6TgFJlW1A"},"source":["### Bar Graph"]},{"cell_type":"markdown","metadata":{"id":"03jEGByVlW1A"},"source":["A bar graph is one of the most common techniques and is widely used to convey information in an easy to understand manner!\n","

\n","It is used to display data that has been classified into nominal or ordinal categories. It represents the respective frequencies/magnitudes for these categories in a comparitve manner. Typically, one axis has numeric values (which may be the frequencies in most cases) and the other axis has the categories.\n","

\n","The bar graph for the dataset has been plotted below:"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"-AODyiYHlW1B","colab":{"base_uri":"https://localhost:8080/","height":281},"executionInfo":{"status":"ok","timestamp":1646675705791,"user_tz":300,"elapsed":180,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"65ae6a68-c0d7-4be1-a94f-1c9ad4bebce7"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["# Dividing the data into categories (Note how .mean() is being used here!)\n","bar1 = (X['Sepal Length']).mean()\n","bar2 = (X['Sepal Width']).mean()\n","\n","# Adding the two bars and assigning attributes\n","plt.bar([0,1],[bar1,bar2],align='center')\n","\n","# Add a suitable title\n","plt.title('Average of Sepal Features Bar Graph')\n","\n","# Adding suitable labels to the axes\n","plt.xticks([0,1],['Sepal Length','Sepal Width'])\n","plt.ylabel('Average (cm)')\n","\n","# Render the plot\n","# plt.savefig('bargraph.png',bbox_inches='tight')\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"a3TiOUD1lW1D"},"source":["Great! We have a bar graph that compares the average length and width of sepals in the given dataset.\n","

\n","Note: Always try to understand why we use the attributes that we do. In the case above, we used align as an attribute. Try changing its value from 'center' to 'edge'; 'edge', as you may have already observed, aligns the left edges of the bars with the x positions. Similarly, try to experiment with some other attributes!"]},{"cell_type":"markdown","metadata":{"id":"6Uln2tFolW1D"},"source":["### Histogram"]},{"cell_type":"markdown","metadata":{"id":"S9uYvJ0zlW1D"},"source":["A histogram is very similar to a bar graph - but it represents a continuous variable on its x-axis rather than discrete units like a bar graph. Because it is continuous, we need to specify how many bars we need in total, and in order to do so, we need to set the width of each bar, called bin size.\n","

\n","While we will use a random number (i.e. 150) as our bin size for ease of demonstration, choosing the correct bin size can be very important at times. It also has some interesting statistical reasoning behind it!"]},{"cell_type":"markdown","metadata":{"id":"S3jJXw70lW1B"},"source":["## Problem 1: (4 pts)\n","Enter the code to make a histogram with a title and axis labels and 150 bins. The X axis would have the 'Sepal Width' column, and the Y axis would have the frequency."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"aCcNaoGulW1E"},"outputs":[],"source":["# Use .hist() and add necessary arguments in the parenthesis - this should be only 1 line!\n","# Refer to https://matplotlib.org/3.1.0/api/_as_gen/matplotlib.pyplot.hist.html\n","\n","# Add a title\n","\n","# Add x and y labels\n","\n","# Show the plot!"]},{"cell_type":"markdown","metadata":{"id":"hv3dzhKTlW1F"},"source":["### Density Plot"]},{"cell_type":"markdown","metadata":{"id":"cr9npkqQlW1F"},"source":["While histograms are popular, density plots are also favored for several reasons\n","\n","The second point can be a weakness however, since local fluctuations can be very important. Let's look at an example (we'll be using `seaborn` now!):"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"7tg0AFWLlW1F","outputId":"6b88178e-ef58-4466-b7c6-ff0efadfcc51","colab":{"base_uri":"https://localhost:8080/","height":295},"executionInfo":{"status":"ok","timestamp":1646678873515,"user_tz":300,"elapsed":554,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}}},"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYUAAAEWCAYAAACJ0YulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3deXxU5dn/8c+VPRBIIAtLAoR93wMIbrhVcMGlVqFaa7W1m0tb2/5s9bHqYx9rV221tbWLWwWtKyKKqCwqoOw7hLAmBLKShITsuX5/zAkdY0ImmMmZmVzv1ysvZs6cOfOdkzDXnPs+931EVTHGGGMAwtwOYIwxJnBYUTDGGHOSFQVjjDEnWVEwxhhzkhUFY4wxJ1lRMMYYc5IVBRPQROSAiFzYTtsqF5FBLTx2k4h8dIrnzhSRnPbI4U8i0t95n+Ed8Frt9rsxgcOKgvGJiJwlIqtEpFREikXkYxGZ4mKe6SJy3PvDT0SeamHZkwCqGqeq+3zcvorIkC+Qb7mIVDl5ykRkvYjcLSLRp7tNX6jqIed91nvl+Obpbs/ZDxVOoTksIr9va8EJloJqPKwomFaJSHdgEfAnoCeQCjwAVLsYax2ev99JXsvOBnKaLDsHWNmBubzdpqrdgD7AXcBcYLGIiEt5Ttd4VY0DLgC+CnzL5TzGj6woGF8MA1DV+apar6qVqvquqm5pXEFEbhaRnSJyTESWiMgAr8dURO4QkX0iUigivxGRMOexwSLygYgUOY/9W0QSWgukqrXAGjwf+ohIChAFvNRk2TCcouD97V9EEkVkofMt/lNgsFfexiKy2fmGfJ3XY3eJSL6IHBGRb/iy81S1QlWXA3OA6cClzrbCnKOHvc77f0lEejqPpTt5vy4ih5x9c49Xjqkiss7Jnyciv2/yvAgR+SWeQvm48z4eF5EnROR33vmc/fBDH97HLuBDYEzTx0QkWkQeFZFc5+dRZ1lX4G2gr5OhXET6+rLfjDusKBhfZAL1IvKMiMwWkR7eD4rIFcDPgauBZDwfHPObbOMqIAPPt/grgJsbnw48DPQFRgL9gPt9zLUSpwA4/37k/Hgv26+qzTVdPAFU4fkWf7NXHlS18fnjnaaYF537vYF4PEdKtwBPNN0Xp6Kqh/Ac4ZztLLoduBI4F8/7P+bk8nYWMBzPt/T7RGSks/wx4DFV7Y6noL3UzOvdg+d3cZvzPm4DngHmeRXlJOBC4IXW8ovIKCf7xmYevgc4A5gAjAemAveqagUwG8h1MsSpam5rr2XcY0XBtEpVy/B8OCnwFFDgfLvs5azyHeBhVd2pqnXA/wETvI8WgEdUtdj5YHwUmOdsO0tVl6pqtaoWAL/H8yHpixXAWU5zzNl4PgBXA2d4LVvR9ElOm/iXgfucb/Hb8HxYtqYWeFBVa1V1MVCO5wO7LXLxNMGBZ7/do6o5qlqNpxheIyIRXus/4ByZbQY24/nAbcwyRESSVLVcVdf48uKq+ilQiqfIgKdJa7mq5p3iaRtE5BjwJvB34F/NrHM9nn2T7/weHwC+5ksmE1isKBifOB/4N6lqGp7mg754PtwBBgCPiUiJiJQAxXiOAFK9NpHtdfug83xEpJeILHA6McuA54EkH2OtAeKcPOcAH6pqufNajcua609IBiKaydSaIqfoNTrhvH5bpOLZP+DZb6957bedQD3Qy2v9oy283i14msZ2ichaEbmsDRmeAW5wbt8APNfK+pNUtYeqDlbVe1W1oZl1+vLZfXjyd2yCixUF02ZO2/LT/LdtORv4tqomeP3Equoqr6f187rdH883ZvAcVSgw1mkKuQFPQfElRxWwFrgc6OPkAs8Rw+XAOJovCgVAXTOZ/EpE+gGTnXzg2W+zm+y3GFU93Nq2VHWPqs4DUoBHgJed9vvPrdrMsueBK0RkPJ4mu9dP5/00kYunyDXy/h3bVMxBxIqCaZWIjHA6WNOc+/3wNP80Nlk8CfxMREY7j8eLyFeabOYnItLDee6dQGM7fTc8zTClIpIK/KSN8VY62/MuQB85y46o6t6mT3BO13wVuF9Eujht5V9vsloe0OyYhrZyXuNc4A3gU2Cx89CTwC8bm9lEJNnpn/FlmzeISLLzrb3EWdzcN/jPvQ+nj2UtniOEV1S1sq3vqRnzgXud95AE3Ien+DRmSBSR+HZ4HeNnVhSML44D04BPRKQCTzHYhuc0S1T1NTzfVhc4TUDb8HQuensDWA9sAt4C/uEsfwBP53Ops/zVNmZbgefbsvfAs4+cZR82+wyP2/A0xRzFc9TTtJ38fuAZp2nn2jZmavS4iBzH86H4KPAKMMur+eUxYCHwrrPeGjz72RezgO0iUu5sZ24LH+6P4emnOCYif/Ra/gwwltabjnz1EJ5O9C3AVmCDs6zxyHI+sM/Zn9asFMDELrJj/E1EFBiqqlluZzEeInIOnm/yA9Q+BIwXO1IwppMRkUg8zWt/t4JgmrKiYEwn4oxzKMEzPuPRVlY3nZA1HxljjDnJjhSMMcacFNH6KoElKSlJ09PT3Y5hjDFBZf369YWqmtzaekFXFNLT01m3bp3bMYwxJqiIiC+j9q35yBhjzH9ZUTDGGHOS34qCiPzTmXd+WwuPi4j8UUSyRGSLiExqbj1jjDEdx59HCk/jGYrfktnAUOfnVuAvfsxijDHGB34rCqq6kv9OEdycK4Bn1WMNkCAiffyVxxhjTOvc7FNI5bPz2efw2fn3TxKRW51LD64rKCjokHDGGNMZBUVHs6r+TVUzVDUjObnV02yNMcacJjfHKRzmsxc5SXOWGdNhqmrrUYWYyDA8V/A0pnNzsygsBG4TkQV45pAvVdUjLuYxncjaA8X88f09fLinEIDhvbrxnZmDuHJCqhUH06n5rSiIyHxgJpAkIjnAL4BIAFV9Es/Vpy4BsvBce/Yb/spijLf5nx7inte2khgXzfdmDiY2MpxFW47wwxc388m+Yh66cgwR4UHRsmpMu/NbUXCuH3uqxxX4vr9e35jmLPj0ED97dSszhyfz5+sn0SXK81/gtvOH8Pulmfzpgyxq6hr43bXj7YjBdEpBN/eRMadrR24Z9y3czjnDknnqxgwivY4GRIS7vjScMBEee38PUwb2ZN7U/i6mNcYddoxsOoXqunpun7+BhNhI/nDt+M8UBG93XjCUs4cm8YuF28nKL+/glMa4z4qC6RSeWXWAvQUVPHLNOBLjoltcLyxM+P21E4iOCOOht3Z0YEJjAoMVBRPyisqr+dP7WZw3PJnzhqe0un5yt2juvGAoy3cXsGxXfgckNCZwWFEwIe+JZXs5UVvPPZeO8vk5N05PZ1BSVx5+eycNDXbJWtN5WFEwIa24oob5nx7iygmpDEmJ8/l5URFh3HnhUDLzynl3R54fExoTWKwomJD2zKoDVNbW851zB7X5uZeO7UP/nl348/IsPGdQGxP6rCiYkFVZU88zqw9w0aheDO3Vrc3PjwgP47szB7Mlp5SPs4raP6AxAciKgglZi7bkUnKillvOGnja27hqYio9u0bxzOoD7ZbLmEBmRcGErH9/coghKXFMG9jztLcRExnOdVP68f7OPA6XVLZjOmMCkxUFE5K255ayKbuE66f1/8LTVVw/zTOy+d9rDrZHNGMCmhUFE5IWfJpNdEQYV09M+8LbSuvRhfNHpPDSuhzq6hvaIZ0xgcuKggk5NXUNvLkll4tH9ya+S2S7bPOayWkUllfzUVZhu2zPmEBlRcGEnOW78yk5UctVk5q9uutpOW9ECvGxkby20a4DZUKbFQUTcl7beJikuCjOHpLUbtuMjgjn0nF9WLL9KOXVde22XWMCjRUFE1JKK2t5f2c+l4/v2+4Xyrl6YipVtQ28s+1ou27XmEBiRcGElKU78qipb2DO+L7tvu3JA3rQv2cXXtuY0+7bNiZQWFEwIWXx1iOkJsQyoV9Cu29bRLhyYiqr9hZxpNTGLJjQZEXBhIzSylo+3FPA7DG9/XYpzasmpqIKb2zK9cv2jXGbFQUTMt7bkUdtvXLJuD5+e42BSV2Z2D+B1+0sJBOirCiYkPHO9qP0iY9hoh+ajrzNGd+XXUePs7fALtdpQo8VBRMSqmrr+XBPAReN6uW3pqNGs8b0BrCzkExIsqJgQsKqvYVU1TZw4chefn+tPvGxTOqfwOKtR/z+WsZ0NCsKJiQs3ZFPXHQE0wad/oyobXHJ2D5szy3jUNGJDnk9YzqKFQUT9BoalPd35nHusGSiI8I75DUvHu1pQnp7mx0tmNBiRcEEvW25peQfr+aCkSkd9pr9enZhXFo8i61fwYQYKwom6L23I48wgfOGd1xRAJg9pg+bs0vIOWZNSCZ0WFEwQW/pznwy0nvSo2tUh77ubDsLyYQgKwomqB0uqWTnkTIu7MCmo0bpSV0Z2ac7b1tRMCHEioIJau/vzAPokFNRm3PJmN6sP3iM/LIqV17fmPZmRcEEtfd35jMoqSuDkuNcef3GgWxLduS58vrGtDcrCiZoVdXWs2ZfETM7uIPZ25CUOAYld2WJNSGZEGFFwQStT/YXU13XwDnD2u8Ka20lIswa3ZvV+4ooOVHjWg5j2otfi4KIzBKR3SKSJSJ3N/N4fxFZJiIbRWSLiFzizzwmtKzMLCA6IowzBiW6mmPWmN7UNyjv7cx3NYcx7cFvRUFEwoEngNnAKGCeiIxqstq9wEuqOhGYC/zZX3lM6FmRWcDUgT2JieyYUcwtGZsaT9/4GDs11YQEfx4pTAWyVHWfqtYAC4ArmqyjQHfndjxgVy4xPjlcUklWfjnnDkt2OwoiwsVjerNyTwEV1XVuxzHmC/FnUUgFsr3u5zjLvN0P3CAiOcBi4PbmNiQit4rIOhFZV1BQ4I+sJsiszPT8HQRCUQCYNbo3NXUNLN9tf58muLnd0TwPeFpV04BLgOdE5HOZVPVvqpqhqhnJyYHxIWDctTKzgL7xMQxJcedU1KYy0nuS2DWKd7ZbE5IJbv4sCoeBfl7305xl3m4BXgJQ1dVADODeqSQmKNTWN/DRnkLOGZbs9wvq+Co8TPjS6F58sDOPqtp6t+MYc9r8WRTWAkNFZKCIROHpSF7YZJ1DwAUAIjIST1Gw429zSpuySzheXRcwTUeNLh7dm4qaelbtLXQ7ijGnzW9FQVXrgNuAJcBOPGcZbReRB0VkjrPaXcC3RGQzMB+4SVXVX5lMaFiZWUB4mDBjSGAdVM4YnES36Ag7C8kEtQh/blxVF+PpQPZedp/X7R3Amf7MYELPiswCJvZLID420u0onxEVEcYFI1NYuiOPuvoGIsLd7rIzpu3sr9YElaLyarYeLuWcAGs6ajRrTG+Onajl0wPFbkcx5rRYUTBB5aOsQlQD51TUps4dlkJMZJjNhWSClhUFE1RWZBbQo0skY1Lj3Y7SrNiocGYOS2HJ9jwaGqx7zAQfKwomaDQ0KCszCzl7aDLhYYFxKmpzZo3pzdGyKjbnlLgdxZg2s6JggsaOI2UUllcHbH9Co/NGpBAZLjaQzQQlKwomaKzc4xnCcs7QwDoVtan42EhmDE5iybaj2BnWJthYUTBBY8XuAkb26U5K9xi3o7Rq1pjeHCg6wa6jx92OYkybWFEwQaG8uo71B48F7FlHTV00qhci2EA2E3SsKJigsCqrkLoGdfUqa22RFBfNlPSeLLF+BRNkrCiYoLByTwFdosLJGNDT7Sg+mzW6N7uOHmd/YYXbUYzxmRUFE/BUlRWZBcwYnEhURPD8yV48pjdgTUgmuATP/zDTaR0oOkF2cWXQ9Cc0Sk2IZXy/BN7aahcUNMHDioIJeCt25wME/PiE5lw+rg/bDpexr6Dc7SjG+MSKggl4KzILSE/swoDErm5HabPLxvVFBBZtOeJ2FGN8YkXBBLSq2nrW7CsOyqMEgN7xMUxJ78nCzbk2kM0EBSsKJqCtO3CMytr6oOtP8DZnfF+y8sttIJsJClYUTEBbvjufqPAwzhiU6HaU0zZ7TG/Cw4Q3N1uHswl8VhRMQFueWcC0QT3pGu3XiwT6VWJcNGcOSeLNLdaEZAKfFQUTsLKLT5CVXx7UTUeNLh/Xh+ziSjZl23TaJrBZUTABa3mmZ1bUmcNTXE7yxV08pjdR4WEstCYkE+CsKJiAtXxXPv16xjI4OfhORW2qe0wk549I4c3NudTVN7gdx5gWWVEwAamqtp5Ve4uYOSwFkcC9ylpbXD0plcLyGj7cU+h2FGNaZEXBBKS1B4qprK3nvBHB35/QaObwFHp0ieSVDTluRzGmRVYUTEBatquAqIgwpg8KjqmyfREVEcac8X15d0cepZW1bscxpllWFExAWp6Zz7SBPYmNCnc7Sru6elIaNXUNvL3Vpr0wgcmKggk4h4pOsK+ggvNC4KyjpsalxTM4uSuvbjjsdhRjmmVFwQSc5ZmeWVFnDg+d/oRGIsLVk9L49EAx2cUn3I5jzOdYUTABZ9mufAYkdmFgUvCfitqcKyemAtjRgglIVhRMQKmqrWf1viJmDksOmVNRm0pNiGXG4ERe3pBNQ4NNe2ECixUFE1A+2V9MVW1DSIxiPpXrpvQju7iSNfuK3I5izGdYUTABZdmufKIjgntWVF9cPLo38bGRLFib7XYUYz7DioIJKCsyCzhjUGLInYraVExkOFdNTOWdbUc5VlHjdhxjTrKiYAJGVn45+wsrOH9EaDcdNbo2ox819Q28vsk6nE3g8GtREJFZIrJbRLJE5O4W1rlWRHaIyHYRecGfeUxge29nHgAXjurlcpKOMapvd8alxfPi2my7zoIJGH4rCiISDjwBzAZGAfNEZFSTdYYCPwPOVNXRwA/8lccEvqU78hjdtzupCbFuR+kw103px66jx9mSU+p2FGMA/x4pTAWyVHWfqtYAC4ArmqzzLeAJVT0GoKr5fsxjAlhheTUbDh3jok5ylNBozvi+xEaGW4ezCRj+LAqpgPdfeo6zzNswYJiIfCwia0RkVnMbEpFbRWSdiKwrKCjwU1zjpg925qMKF47sXEWhW0wkl4ztw8JNh6mornM7jjGudzRHAEOBmcA84CkRSWi6kqr+TVUzVDUjOTn0pj4wsHRnHn3jYxjdt7vbUTrc3Kn9qKip5y2bJM8EAJ+Kgoi8KiKXikhbishhoJ/X/TRnmbccYKGq1qrqfiATT5EwnUhlTT0f7ingwlG9QnYU86lkDOjBoOSuvGRNSCYA+Poh/2fgq8AeEfmViAz34TlrgaEiMlBEooC5wMIm67yO5ygBEUnC05y0z8dMJkR8nFVIVW1Dp+tPaCQizJ3Sj3UHj7En77jbcUwn51NRUNX3VPV6YBJwAHhPRFaJyDdEJLKF59QBtwFLgJ3AS6q6XUQeFJE5zmpLgCIR2QEsA36iqjbuv5NZuiOPbtERTBsY2qOYT+XqSWlEhgsvfHrI7Simk/O5OUhEEoGbgG8CG4HH8BSJpS09R1UXq+owVR2sqr90lt2nqgud26qqP1LVUao6VlUXfIH3YoJQfYPy/q48zh2eTFSE211c7kmKi2bWmD68sj6Hypp6t+OYTszXPoXXgA+BLsDlqjpHVV9U1duBOH8GNKFt3YFiCstr+NLo3m5Hcd0N0/pTVlXHm5tz3Y5iOjFfv5o95Xybf1hVjwCISDSAqmb4LZ0JeW9vO0p0RBgXdJKpLU5l6sCeDE2J4/lPDrodxXRivhaFh5pZtro9g5jOp6FBeXvbEWYOT6ZrdITbcVwnIlw/rT9bckrZklPidhzTSZ2yKIhIbxGZDMSKyEQRmeT8zMTTlGTMaduYfYy8smouGdvH7SgB4+rJacRGhvPvNdbhbNzR2tezi/F0LqcBv/dafhz4uZ8ymU5i8dajRIWHdZpZUX3RPSaSKyb05fVNh/n5pSOJj2325D5j/OaURwqq+oyqngfcpKrnef3MUdVXOyijCUGqyttbj3DOsCS6xdgHn7frpw2gqraBVzfkuB3FdEKtNR/d4NxMF5EfNf3pgHwmRG3KLiG3tMqajpoxNi2e8Wnx/PuTQzaltulwrXU0d3X+jQO6NfNjzGl5e9tRIsOFCzrZBHi+uv6MAWTll/PJ/mK3o5hO5pR9Cqr6V+ffBzomjukMVJXFW49w1pAkazNvweXj+vLQoh08v+ZgyF+v2gQWXwev/VpEuotIpIi8LyIFXk1LxrTJxuwSco5VWtPRKcRGhfPlyWks2X6UguPVbscxnYiv4xS+pKplwGV45j4aAvzEX6FMaHtj42GiI8KYNcZGMZ/K9dMGUFuvvLTOZk81HcfXotDYzHQp8B9VtWsHmtNSW9/Aoi1HuHBkLzvrqBVDUuKYPiiRFz45RH2DdTibjuFrUVgkIruAycD7IpIMVPkvlglVH+0ppKiihisnNr0In2nODWcM4HBJJSsy7Uq1pmP4OnX23cAMIENVa4EKPn+9ZWNa9fqmwyR0ieTcYXYFPV9cNKoXSXHRPG8jnE0HacuEMyPwjFfwfs6z7ZzHhLCK6jre3Z7HVZNSO/U02W0RFRHG3Cn9eGJ5FjnHTpDWw2aXMf7l69lHzwG/Bc4Cpjg/NjuqaZN3dxylsraeKydY01FbzJvWHwHm2wV4TAfw9UghAxilNrzSfAGvb8wlNSGWjAE93I4SVFITYjl/RAovrs3mjguGEh0R7nYkE8J8PYbfBtj5g+a05R+v4qOsQq6Y0JewMHE7TtC54YwBFJbX8M62o25HMSHO1yOFJGCHiHwKnBxJo6pzWn6KMf/16obD1DcoV09KcztKUDpnaDIDk7ryzKoDXGHNb8aPfC0K9/szhAltqspLa7PJGNCDISl29dbTERYmfO2MATy4aAdbc0oZmxbvdiQTonw9JXUFnpHMkc7ttcAGP+YyIWTdwWPsK6zg2in93I4S1L48OY0uUeE8u/qA21FMCPP17KNvAS8Df3UWpQKv+yuUCS0vrs2ma1Q4l9pcR19IfGwkV01M5Y3NuRyrqHE7jglRvnY0fx84EygDUNU9gF0uy7TqeFUtb205wpwJfe06zO3gxunp1NQ18KLNh2T8xNeiUK2qJ7+aOAPY7PRU06pFW45QWVvPtRnWdNQehvfuxhmDevL8moM2H5LxC1+LwgoR+TkQKyIXAf8B3vRfLBMqXlybzbBecUzol+B2lJDx9enp5ByrZNkumw/JtD9fi8LdQAGwFfg2sBi411+hTGjYdbSMTdklXJvRDxEbm9BeLhrViz7xMTyz+oDbUUwI8qmRV1UbROR14HVVLfBzJhMinl19kOiIMK6ZbGMT2lNEeBjXT+vPb9/NZG9BOYOT7TRf035OeaQgHveLSCGwG9jtXHXtvo6JZ4JVWVUtr288zJzxfUnoEuV2nJAzd2p/osLDeHbVAbejmBDTWvPRD/GcdTRFVXuqak9gGnCmiPzQ7+lM0HplfQ4nauq5cXq621FCUlJcNJeP78t/1udQWlnrdhwTQlorCl8D5qnq/sYFqroPuAG40Z/BTPBqaFCeW32Qif0TbOStH91y1kBO1NSzwGZPNe2otaIQqaqFTRc6/Qp2LUXTrI/3FrKvsIIbpw9wO0pIG9W3OzMGJ/L0qgPU1je4HceEiNaKwqmGTdqQStOsZ1cfJLFrFJfYCGa/u+WsgRwpreJtmz3VtJPWisJ4ESlr5uc4MLYjAprgknPsBO/vzGPu1H42738HOG94CoOSuvKPj/Zjlzsx7eGURUFVw1W1ezM/3VS11eYjEZklIrtFJEtE7j7Fel8WERURu5pbkPvXxwcIE+H6adZ01BHCwoRvnJnO5uwSNhw65nYcEwL8dqFcEQkHngBmA6OAeSIyqpn1ugF3Ap/4K4vpGKWVtSz49BCXjetD34RYt+N0Gl+enEZ8bCR/XbHP7SgmBPjz6ulTgSxV3efMm7QAuKKZ9f4XeASo8mMW0wEWfHqIipp6vnn2ILejdCpdoiL4+vQBvLsjj6z8427HMUHOn0UhFfCeyjHHWXaSiEwC+qnqW6fakIjcKiLrRGRdQYENqA5ENXUN/OvjA8wYnMiYVDsNtaPddOZAYiPD+ctyO1owX4w/i8IpiUgY8HvgrtbWVdW/qWqGqmYkJyf7P5xps7e25nK0rIpv2VGCK3p2jWLu1H68sekwh0sq3Y5jgpg/i8JhwHu+5DRnWaNuwBhguYgcAM4AFlpnc/BRVZ5auZ8hKXGcO8yKtlsaC/JTK+1owZw+fxaFtcBQERkoIlHAXGBh44OqWqqqSaqarqrpwBpgjqqu82Mm4wcfZxWx40gZ3zp7IGFhNhuqW/omxHLlxFQWrD1EUXm123FMkPJbUVDVOuA2YAmwE3hJVbeLyIMiMsdfr2s63hPLskjpFs0VE1JbX9n41XfOHUx1XQP//Hh/6ysb0wy/Xh9RVRfjufaC97JmZ1hV1Zn+zGL8Y/3BY6zeV8S9l44kJtIGq7ltSEocl4zpw9MfH+DmMweSGBftdiQTZFzraDah4YllWfToEslXp/V3O4px/PCioVTW1vPkir1uRzFByIqCOW3bc0v5YFc+N585kC5Rfj3oNG0wJKUbV05M5dnVB8krs+E/pm2sKJjT9ufle4mLjuDGGeluRzFN/OCCYdQ3KI9/kOV2FBNkrCiY07K3oJzFW4/wtekDiI+1WdQDTf/ELlw7pR8L1h4iu/iE23FMELGiYE7LH9/fQ0xEOLecNdDtKKYFt58/BBHh0ff2uB3FBBErCqbNMvOOs3BzLl+fkU6Snd0SsPrEx/KNGem8siGHzdklbscxQcKKgmmzx97bQ5fIcG49x6a0CHS3nT+EpLgoHnhzu11vwfjEioJpkx25Zby19Qg3nzWQnl2j3I5jWtEtJpKfXjyCDYdKWLg51+04JghYUTBt8of3MukWE8E3z7KjhGBxzeQ0xqbG8/DiXZyoqXM7jglwVhSMz7bklLB0Rx7fPGsQ8V3sjKNgERYm/OLyURwtq+Ivy21Amzk1KwrGZ39YmklCl0huPivd7SimjTLSe3LlhL48uWIvmXl2IR7TMisKxifrDx5j2e4Cbj1nEN1i7CghGP3PZaM8fQwvb6G+wTqdTfOsKBif/GFpJoldo/j69HS3o5jTlBgXzS8uH8Wm7BL+ZbOomhZYUTCt+mhPIR9lFfLdmYPpGm1zHAWzOeP7cu14N0oAABawSURBVMGIFH777m4OFdlIZ/N5VhTMKTU0KI+8s4vUhFhuOGOA23HMFyQiPHTVGCLDwvjpK5utGcl8jhUFc0pvbT3C1sOl3PWlYXa9hBDRJz6W/7lsFGv2FfPXlXY2kvksKwqmRTV1Dfz23d2M6N3NrqoWYr6SkcalY/vw+3cz2WRTYBgvVhRMixasPcTBohP8v9kjCLdrL4cUEeH/rh5Lr+4x3LlgI+XVNqjNeFhRMM0qr67jsff2cMagnswclux2HOMH8bGRPDp3AtnFJ/if17fZ3EgGsKJgWvDUyn0UVdRw9+yRiNhRQqiakt6TOy8YxmsbD/PCp4fcjmMCgBUF8zkFx6t56sN9XDK2NxP6Jbgdx/jZ7ecPYebwZB5YuMP6F4wVBfN5j72fSXVdAz/+0nC3o5gOEBYmPHrdBFK6R/O959dTVF7tdiTjIisK5jMy847zwieHuGFafwYlx7kdx3SQhC5RPHnDZAorarhjwUYbv9CJWVEwn/HQWzuJi47gBxcOczuK6WBjUuN56MoxfJxVxO/e3e12HOMSKwrmpGW781mZWcAdFwylh11Ap1O6NqMf86b258/L97Jk+1G34xgXWFEwANTWN/DLt3YyMKkrN9qkd53a/XNGMT4tnrte2szegnK345gOZkXBADD/00Nk5Zfzs9kjiIqwP4vOLDoinL/cMJmoiDC+89x6KmxgW6di//sNpSdq+cPSTM4Y1JOLRvVyO44JAH0TYnl83kT2FpTz05e32MC2TsSKguFPH+yhpLKW/7lslA1UMyfNGJLE/5s1gre2HuGpD/e5Hcd0ECsKndz+wgqeWX2Ar0xOY3TfeLfjmABz6zmDuGRsb3719i5W7S10O47pAFYUOrlfvb2TyPAwG6hmmiUi/Pqa8QxKjuP2FzaSW1LpdiTjZ1YUOrHVe4tYsj2P780cTEr3GLfjmAAVFx3BkzdMprquge/+ewPVdfVuRzJ+ZEWhk6qrb+DBRTvoGx/DN88e5HYcE+CGpMTx26+MZ3N2CQ++ucPtOMaP/FoURGSWiOwWkSwRubuZx38kIjtEZIuIvC8idr3HDvLCp4fYeaSMey8bZVdUMz6ZNaY33z5nEP/+5BCLtuS6Hcf4id+KgoiEA08As4FRwDwRGdVktY1AhqqOA14Gfu2vPOa/iitq+N27mcwYnMjsMb3djmOCyI8vHs7E/gnc/cpWDhZVuB3H+IE/jxSmAlmquk9Va4AFwBXeK6jqMlU94dxdA6T5MY9x/GbJbiqq63hgzmg7BdW0SWR4GH+aN5HwMOH7L1j/QijyZ1FIBbK97uc4y1pyC/C2H/MYYEtOCQvWHuLrM9IZ2qub23FMEErr0YXfXDOObYfLeHjxLrfjmHYWEB3NInIDkAH8poXHbxWRdSKyrqCgoGPDhZCGBuUXC7eT2DWaOy8c6nYcE8S+NLo3N585kKdXHeCdbTZxXijxZ1E4DPTzup/mLPsMEbkQuAeYo6rNXt1DVf+mqhmqmpGcbNcLPl2vbMhh46ES7p49gu4xkW7HMUHu7tkjGJcWz09f3kx28YnWn2CCgj+LwlpgqIgMFJEoYC6w0HsFEZkI/BVPQcj3Y5ZOr6yqlkfe2cWk/glcPfFUrXjG+CYqIozH501CFW6bv5Gauga3I5l24LeioKp1wG3AEmAn8JKqbheRB0VkjrPab4A44D8isklEFrawOfMF/XbJbooranhgzhjCwqxz2bSP/old+PU149icXcJvllj/QiiI8OfGVXUxsLjJsvu8bl/oz9c3HhsPHeO5NQe5aUY6Y9NsfiPTvmaP7cON0wfw1If7mTow0WbaDXIB0dFs/Ke2voGfvbqVXt1iuMvmNzJ+cs+lIxmT2p0f/2czOcesfyGYWVEIcf/6eD+7jh7n/jmjiYv264Gh6cSiI8J54quTaGhQbnvB+heCmRWFEJZz7AR/WLqHC0f24uLRdkhv/GtAYlceuWYcm7JL+PU71r8QrKwohChV5b43tiMCD1xhI5dNx7hkbB++Pn0Af/9oP+9ut/ELwciKQoh6Z9tRPtiVz48uGkZqQqzbcUwn8vNLRzI2NZ4f/8fGLwQjKwohqOREDb9YuJ1Rfbpz04x0t+OYTqaxf8HGLwQnKwoh6ME3d1BcUcOvrxlHRLj9ik3H8x6/8PDbO92OY9rAPjFCzHs78nh142G+d94QxqTamATjntlj+3DzmQP518cHeHl9jttxjI+sKISQkhM1/Oy1rYzo3Y3bzhvidhxj+NklI5gxOJGfv7qVDYeOuR3H+MCKQgh54M0dHKuo4bdfGU9UhP1qjfsiw8N44quT6B0fw7efW8/R0iq3I5lW2CdHiHhj02Fe23iY71uzkQkwPbpG8dSNGZyoruNbz66jorrO7UjmFKwohIDs4hPc+9o2JvVP4PbzrdnIBJ7hvbvx2NyJbM8t5bv/3mBnJAUwKwpBrq6+gR+8uAmAx+ZOtLONTMC6cFQvHr56LCszC/h/r2yhoUHdjmSaYZPhBLk/fZDF+oPH+OO8ifTr2cXtOMac0nVT+lNwvJrfvptJz65R3HvpSBttH2CsKASxFZkF/PGDPXx5Uhpzxvd1O44xPvn+eUMoLK/hHx/tR/DMsGqFIXBYUQhSh4pOcMf8jQzv1Y2HrhzjdhxjfCYi/OLyUQD8/aP9VNc18MCc0XbxpwBhRSEIVdbU8+3n16Oq/O1rGcRGhbsdyZg2aSwM0RFh/HXlPqrr6vm/q8Zan1gAsKIQZFSVu1/dwq6jZfzrpin0T7R+BBOcRIS7Z48gOjKcP76/h9ySKp746iTiu0S6Ha1Ts7IcZH73biZvbMrlx18azszhKW7HMeYLERF+dNEwfnPNOD7ZX8SVf/6YrPxyt2N1alYUgshzaw7y+LIs5k7px/dmDnY7jjHt5isZ/Zj/rTMoq6zlqic+5vWNh1G1U1bdYEUhSLyz7Sj3vbGNC0ak8NCVY+xsDRNyMtJ78sZtZzK8dzd+8OImbp+/kdITtW7H6nSsKASBZbvzuWPBRsanJfCnr9oANRO60np04cVvT+cnFw/nnW1HufjRlSzakmtHDR3IPl0C3NIdeXz72fUMTYnjXzdNoUuUnRtgQlt4mPD984bw6vdm0LNrFLe9sJF5T61h19Eyt6N1ClYUAtjirUf47vPrGdm3Oy988wx6dI1yO5IxHWZcWgJv3n4Wv7xqDLuPHueSxz7kzgUb2ZN33O1oIU2C7bAsIyND161b53YMv1JVnl51gP9dtIOJ/Xvw9Dem0C3GTtMznVfJiRr+smIvz60+SGVtPZeM6cPNZ6UzqX8P61/zkYisV9WMVtezohBYauoa+MXCbcz/NJuLRvXi0esm0DXamoyMASiuqOEfH+3j2VUHOV5dx6g+3fna9AFcOq4P3e2L0ylZUQhCeWVV3DF/I5/sL+b75w3mrouG29B/Y5pRUV3H65sO89zqg+w6epyoiDDOH57CnAl9OX9ECjGRNsq/KSsKQWbRllzufX0bVbX1/OrqcVw5MdXtSMYEPFVlU3YJb2zKZdGWIxSWVxMXHcEFI1M4f0QK5w5LJqGL9cWBFYWgUVhezf8u2sEbm3IZ3y+BP1w7nkHJcW7HMibo1Dcoa/YVsXBTLkt35lFcUUOYwMT+PTh/RAozhyczqk/3TtsHYUUhwFXX1fP0xwd4/IMsKmvrueOCoXxv5mAbg2BMO6hvULbklLBsVz7Ldhew9XApACndojlzSBLTBycyY3AiaT06z9xhVhQCVHVdPW9szOWJ5VkcLDrB+SNSuOfSkQy2owNj/Ca/rIrlmQWsyCxgzd4iiipqABiQ2IUZgxOZMdhTKJLiol1O6j9WFALMsYoa/rM+m398tJ+8smpG9unO3bNHcO6wZLejGdOpqCq7846zKquIVXuL+GRfEcer6wAY3qsb0wcnMm1gTyan9yClW4zLaduPFYUAUF1Xz4eZhbyyIYf3duZRW69MH5TId2YO5pyhSZ22bdOYQFJX38C23DJW7S1kVVYRaw8UU13XAEB6YhempPdkSnpPMtJ7MDCpa9D+v7Wi4AJV5VDxCVbvLeKDXfl8nFVIRU09iV2juGJCKtdMTmNU3+5uxzTGnEJNXQPbcktZd6CYtQeOse5AMcecifmS4qKY2L8HY1PjGZPanTGp8UFzNBEQRUFEZgGPAeHA31X1V00ejwaeBSYDRcB1qnrgVNsMlKJQW99AdvEJMvOOs/toOdtzS9lw6BiF5Z62yr7xMZw3IoULR/birKFJRFoHsjFBSVXZW1DO2gPHWLu/mE05JewvrKDxozOlWzTDenVjUHJXBifHMTg5jvSkLvTqHhNQ/+99LQp+GyorIuHAE8BFQA6wVkQWquoOr9VuAY6p6hARmQs8Alznr0yqSl2DUlev1NQ3UFffQF2DUlvfQG29UlffQHVdA+XVdZRV1nK8qo6yqlrKKusorazlaFkluSVV5JZUUlBeffKPQgTSE7tyzrBkJg/owZT0ngxNiQvaw0xjzH+JCENSujEkpRvzpvYHoLy6jp1HytiaU8q23FL2FlTw2obDJ/smPM+D5Lho+iTE0qd7DD3jooiPjSQ+NpLuMZEnb3eJDicqPIzoiDAiw8OIivD6CQ8jIkwID5MO+zzx5/wJU4EsVd0HICILgCsA76JwBXC/c/tl4HEREfXD4ctfV+zl4bd3nfbzu0SF07t7DH0TYpk5PJk+8bH069mFYb3iGJISZ7OXGtOJxEVHnOxraKSqFByvJqugnINFJzhSWsXR0kqOlFaRVVDOsQM1lFbWUtdw+h9vv7xqDNdPG9Aeb6FF/vwkSwWyve7nANNaWkdV60SkFEgECr1XEpFbgVudu+UisruNWZKabvN07PyiG2i7dsndwSxzxwnG3Jb5C7jhEbjB99Wb5vapmgTF11tV/Rvwt9N9vois86UtLdAEY27L3HGCMbdl7jinm9ufvSCHgX5e99OcZc2uIyIRQDyeDmdjjDEu8GdRWAsMFZGBIhIFzAUWNllnIfB15/Y1wAf+6E8wxhjjG781Hzl9BLcBS/CckvpPVd0uIg8C61R1IfAP4DkRyQKK8RQOfzjtpieXBWNuy9xxgjG3Ze44p5U76AavGWOM8Z/AGVlhjDHGdVYUjDHGnBRSRUFE/iki+SKyrYXHZ4pIqYhscn7u6+iMzWTqJyLLRGSHiGwXkTubWUdE5I8ikiUiW0RkkhtZvfL4kjmg9rWIxIjIpyKy2cn8QDPrRIvIi85+/kRE0js+6Wfy+JL5JhEp8NrP33Qja3NEJFxENorIomYeC6h93aiVzAG3r0XkgIhsdfJ8bv6f0/nsCIpxCm3wNPA4nvmUWvKhql7WMXF8UgfcpaobRKQbsF5EljaZDmQ2MNT5mQb8hc8PBOxIvmSGwNrX1cD5qlouIpHARyLytqqu8VqnQ6dd8YEvmQFeVNXbXMjXmjvxjPlsbhbIQNvXjU6VGQJzX5+nqi0NrmvzZ0dIHSmo6ko8ZzEFDVU9oqobnNvH8fxBNr1A8xXAs+qxBkgQkT4dHPUkHzMHFGfflTt3I52fpmdZXAE849x+GbhAXJzAysfMAUlE0oBLgb+3sEpA7WvwKXMwavNnR0gVBR9Ndw7H3xaR0W6H8eYcQk8EPmnyUHNThgTEh/ApMkOA7WunaWATkA8sVdUW97Oq1gGN0664xofMAF92mgZeFpF+zTzuhkeBnwINLTwecPua1jND4O1rBd4VkfXimQ6oqTZ/dnS2orABGKCq44E/Aa+7nOckEYkDXgF+oKplbufxRSuZA25fq2q9qk7AM7p+qoiMcTtTa3zI/CaQrqrjgKX899u3a0TkMiBfVde7ncVXPmYOuH0NnKWqk/A0E31fRM75ohvsVEVBVcsaD8dVdTEQKSJJLsfCaS9+Bfi3qr7azCq+TBnSoVrLHKj7GkBVS4BlwKwmDwXstCstZVbVIlWtdu7+Hc+1Sdx2JjBHRA4AC4DzReT5JusE2r5uNXMg7mtVPez8mw+8hmd2am9t/uzoVEVBRHo3tluKyFQ879/V//ROnn8AO1X19y2sthC40TmT4AygVFWPdFjIJnzJHGj7WkSSRSTBuR2L5zofTedSD6hpV3zJ3KR9eA6uTOb7War6M1VNU9V0PLMUfKCqTSf3DKh97UvmQNvXItLVOdEDEekKfAloeuZlmz87QursIxGZD8wEkkQkB/gFns45VPVJPH983xWROqASmBsAcy2dCXwN2Oq0HQP8HOgPJ3MvBi4BsoATwDdcyOnNl8yBtq/7AM+I5+JPYcBLqrpI3Jl2xVe+ZL5DRObgOSOsGLjJtbStCPB93awA39e9gNec714RwAuq+o6IfAdO/7PDprkwxhhzUqdqPjLGGHNqVhSMMcacZEXBGGPMSVYUjDHGnGRFwRhjzElWFEzAEpF7xDM76BZnFsh2nQRQPDO5Njcb5kYRmeDcjhCRchG5wevx9SIySUQeFJELT7Vd5/YMr8eeFpFrWsm1TEQubrLsByLyl1M8Z7mIBN3F5U3gCalxCiZ0iMh04DJgkqpWO6Ohozro5T8GZgCbgPFApnP/eWeQ0GBgc+OkgK2YCZQDq9rw+vPxnLe/xGvZXDzz8hjjV3akYAJVH6CwcVoBVS1U1VwAEZksIiucb+xLGkeaOt+WH3OOKrY5I6kRkakisto5AlglIsNbee1VeIoAzr9PAhOc+1OB9apa7/2tX0RmicguEdkAXO0sSwe+A/zQyXS2s41znBz7WjhqeBm4VESivLbTF/hQRP4iIuukhesrOOuXe92+RkSedm4ni8grIrLW+Tmzlf1gOiErCiZQvQv0E5FMEfmziJwLJ+dc+hNwjapOBv4J/NLreV2cCeS+5zwGnqkhzlbVicB9wP+18tqNRwo4/64Eqp0pBWbQ5Fu/iMQATwGX45kPpzeAqh7AU1D+oKoTVPVD5yl9gLPwHAn9qumLq2ox8CmeSc7Ac5TwkjMi/B5VzQDGAeeKyLhW3ou3x5wsU4AvE1pTRJt2Ys1HJiA5F5aZDJwNnAe8KCJ3A+uAMcBSZ3h/OOA9l8t85/krRaS7M3dQNzzTRQzFM9VwZCuvfVBEokSkNzAC2A2sxXNxkhl4ipK3EcB+Vd0DIJ6J1JqbxrjR66raAOwQkV4trNPYhPSG8+8tzvJrxTNFcgSe4jIK2HKq9+PlQmCU/PeyBd1FJM7rmg3GWFEwgUtV64HlwHIR2YpnArX1wHZVnd7S05q5/7/AMlW9ymmKWe7Dy68CvgIcUVUVkTV45nyaCqxu2zv5nGqv2y1dWOYN4A/iuXxiF1VdLyIDgR8DU1T1mNMsFNPMc733gffjYcAZqlp1+tFNqLPmIxOQRGS4882+0QTgIJ5v7clORzQiEimfvYDPdc7ys/DMCFmKZ1rmxumCb/IxwirgB/y3AKwGbgSOOtv0tgtIF5HBzv15Xo8dx3Ok0ibOt/dleJrA5juLuwMVQKlzhDG7hafnichIEQkDrvJa/i5we+OdxjOsjPFmRcEEqjg8TT47RGQLnmaS+1W1Bs8MrI+IyGY8ZwjN8HpelYhsxNOW39jk8mvgYWe5r0fHHwODcIqCM91wOM2cReR8874VeMvpaM73evhN4KomHc2+mo/n7KfGJrHNwEY8RegFJ2Nz7gYWOVm9m9buADKcU3x34OkEN+YzbJZUEzJEZDnwY1Vd53YWY4KVHSkYY4w5yY4UjDHGnGRHCsYYY06yomCMMeYkKwrGGGNOsqJgjDHmJCsKxhhjTvr/quBI7i3mY3wAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["density = sns.kdeplot(X['Sepal Width'])\n","\n","plt.title ('Sepal Width Density Plot')\n","plt.xlabel('Sepal Width Value')\n","plt.ylabel('Density')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"jdaxY8wplW1H"},"source":["The smoothing parameter for the density plot can be adjusted by changing something called the smoothing bandwidth in order to adjust for sensitivity to fluctuations."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"9WdD9OVClW1H","outputId":"fb87ac57-2014-4dc5-c880-cb261d15ef83","colab":{"base_uri":"https://localhost:8080/","height":661},"executionInfo":{"status":"ok","timestamp":1646678876542,"user_tz":300,"elapsed":559,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}}},"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:1699: FutureWarning: The `bw` parameter is deprecated in favor of `bw_method` and `bw_adjust`. Using 10 for `bw_method`, but please see the docs for the new parameters and update your code.\n"," warnings.warn(msg, FutureWarning)\n"]},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:1699: FutureWarning: The `bw` parameter is deprecated in favor of `bw_method` and `bw_adjust`. Using 1e-07 for `bw_method`, but please see the docs for the new parameters and update your code.\n"," warnings.warn(msg, FutureWarning)\n"]},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["plt.subplot()\n","# A plot with REALLY high bandwith\n","sns.kdeplot(X['Sepal Width'], bw=10)\n","\n","plt.title ('Sepal Width Density Plot: Bandwidth = 10')\n","plt.xlabel('Sepal Width Value')\n","plt.ylabel('Density')\n","\n","plt.show()\n","\n","\n","plt.subplot()\n","# A plot with REALLY low bandwidth\n","sns.kdeplot(X['Sepal Width'], bw=0.0000001)\n","\n","plt.title ('Sepal Width Density Plot: Bandwith = 0.0000001')\n","plt.xlabel('Sepal Width Value')\n","plt.ylabel('Density')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"4-oICfN2lW1I"},"source":["As you can see, the bandwidth value can have a drastic effect on the resulting graph. These are extreme examples, however; appropriate values for bandwidth differ case by case."]},{"cell_type":"markdown","metadata":{"id":"Nl0iCFXhlW1J"},"source":["### Box Plot"]},{"cell_type":"markdown","metadata":{"id":"6wN2lpmwlW1J"},"source":["A box plot shows the max, min, and the median values of one feature from a given dataset. It is a great tool when a quick summarization is necessary or when the spread of data needs to be shown. For example, it can be used to visualize test scores.
\n","
\n","An important point to note is that an outlier is a data point that is 1.5 times above the upper quartile or 1.5 times below the lower quartile."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"6_s_A9-RlW1K","scrolled":true,"outputId":"d562d82d-5f86-432e-ba89-dc7f7fc7c9ea","colab":{"base_uri":"https://localhost:8080/","height":281},"executionInfo":{"status":"ok","timestamp":1646675706552,"user_tz":300,"elapsed":236,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}}},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["bp = plt.boxplot([X['Sepal Length'],X['Sepal Width']])\n","\n","plt.title('Sepal Features Boxplot')\n","plt.xticks([1,2],['Sepal Length','Sepal Width'])\n","plt.xlim([0,3])\n","plt.ylim([1,9])\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"7iq6noxWlW1L"},"source":["### Violin Plot"]},{"cell_type":"markdown","metadata":{"id":"dej6icrWlW1M"},"source":["A violin plot is very similar to a box plot. The only big difference is that while box plot has a box (which represents IQR: Inter Quartile Range, a range between 25% percentile and 75% percentile of the values) and two whiskers to represent maximum and minimum, violin plot has a three lines that indicates max (100% percentile), median (50% percentile), and min (0% percentile) and also has a probability density distribution of the data at different values along the line."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"NmhWedLUlW1N","outputId":"e3110d33-49ad-4cda-b4aa-b86e6ed85bc6","colab":{"base_uri":"https://localhost:8080/","height":281},"executionInfo":{"status":"ok","timestamp":1646675706744,"user_tz":300,"elapsed":195,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}}},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["plt.violinplot([X['Sepal Length'],X['Sepal Width']],showextrema=True,showmedians=True)\n","\n","plt.title('Sepal Features Violin Plot')\n","plt.xticks([1,2],['Sepal Length','Sepal Width'])\n","plt.ylabel('Spread')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"CkWb-O8SlW1O"},"source":["### Scatter Plot"]},{"cell_type":"markdown","metadata":{"id":"vCodhgS3lW1P"},"source":["Scatter plots can be very useful for visualizing information for two or more features (that correspond to the number of dimensions). They are very useful for extrapolating information."]},{"cell_type":"markdown","metadata":{"id":"OAh0GezklW1P"},"source":["#### 2D Scatter Plot"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"6p6xcRXZlW1P","scrolled":true,"outputId":"9f8c5262-d94b-43d2-85c5-ec0a37b075fe","colab":{"base_uri":"https://localhost:8080/","height":295},"executionInfo":{"status":"ok","timestamp":1646675706908,"user_tz":300,"elapsed":167,"user":{"displayName":"Kelly 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nzvp93rUZPuZ/uVsQoHEuAWXx8WiGUvrXyGDoSbhn4CKxO1iQXhWejJCP1LdmGyS4YJwqgKS24YxBjsRbTq3TNmW37ZZPWqy/bTt2hqHI3HONBKO0KJDfgNoZDDUwOoEuJI0CDjapCmjI0lv0xoBK00ZaWKMwU7EVc9enLrtqQvrUZPtZ+wVI3F5q//QnC6LXft0pnOvjg2klcGwGfGfRKKPjgWOFuAenJ6MrLMBd42tTnD1RJzdMqDlZowx2InIy8/hqvEXQY0H6tNvGkvPIZn9YtU13fp15YaXLyevVS7eLA8uj5O+B/Xmjg+vb2jVDAYAxOqANH8SHG0BL+AG115I/otpexOJaw+k2b/AkQ/4bBnuYbbcTOtrvIl2TiZ/PI2KsiD7HTcUy7IaWp1tJhqNsnrJWrLy/DRrldfQ6hgMCagqRJeD+BBr28r2qkYhugIcOYhj26ZBTZyBIYHfpixkymcziYQi5LXMpe9BvbfKZ1lVmfXtXL5+/Ucsp4NDTjuAXkO7V9tnw9qNfPbsV/wxfwW9hvbg0NP3rxPXVcuy6NCt6cVIGHYeRAScu2ynDAucnTOkUYo+zMhg5+Kl29/ktXvftT1xVPH4PRx88n5c8eT5aRuEhy96ii9e/IZgeRBEcHtdHH/VKMbdaheqWzxrGVcccBORUIRQIIw3y0N28ywem3wP+W2b1+XpGQyGFJg4A0Mlq5eu5dW73yFYHkJjiioEyoJ89dr3zPspPdfS36YsZMIL3xAoC6IKGlOC5SHe/Of7rFy4CoB/nvMY5cUVla6fgbIgG1ZvZPyNr9bZuRkMhu3DGIOdiMkfTydZfulAeZAf3p2cloxJH0wlFEji9xyXX1ZczpJZfyS0RSNRfnx3ytYpbDAY6g1jDHYi3F5XUt98y7Lw+D3pyfC5sazEr404HLi9LiynlbKegctrlqgMhsaKMQY7EfscOxiNJa4RWS6L4afun5aMg0/aF4cz0ftIVdnvuKF4/R4GHt4Xq8Y+bq+Lo84Zvm2KGwyGOscYg52I3Pwc/u/1K/H4PfhyvPiyvbi9Li5++Gw6dk/PI6fdrm249LG/4va68GV78eV48fjd3PDyZeS1zAXgqmcuokP3tvhyvHizPHj8Hvbcrxen/t/xdXl6BoNhOzDeRDshZcXlTP54OtFIlMFH9qu8iW8NxYUlTP5kOpbTYsiI/mTl+qu1qyqzvpnLqsVr2K1fF7oP2DVT6hsMhm1gS95ExhhkkIKVhcz+bj45+dn0H75nwlRJJggFw0z/YhYVpQH6Dd8zaaDVsnkrWDR9CW26tGaPvXuY/P6GHRKNLLSTtVkdwNXffM+3gAk6qyeevelV3nrgAyyXhSC4fW7++eU/6NK7U8b6mPfzAm4YcSexaAxViIQinHPnKRx/5SjATtJ2x8kPMuXTGVhOB6rQrmtr7vviZhOda9hhUA2jRZdD8Ds7AyhqJ3TLf2Gbo3MNZs0gI0z5dDpvP/QRoUCYipIA5SUVFK3dyA0j7iRTI69wKMyNR99F6YYyyosrqCipIBwM89zNrzF/8gIA3rj/faZ+OoNQRYiKkgCB0gDL56/k/nP+kxEdDIbGgJY9bRsCAqBloOUQWYwWXdfQqjVpjDHIAO8//hmBsmDC9tKiMn6fuigjfcyYOIdoJLEwTSgQ5pNnJgLw0X8nEKyoHgMQCUeZ9vlMKkqT5FU3GJoi5a8BgRobIxD6Ho2VNYRGOwTGGGSAipKaX0wbEaGiNHnb1hIoC0KSQYbGlLKN5QAEy5MHgyFCOBRJ3mYwNDU01W9KgMSCR4b0MMYgAxx44j5Jg7Zi0Ri9hnVPcsTW0/eg3kTCiTd0b5aHA44fBsCwUQOTLlp36NaW3PycjOhhMDQ43uEkXe60OiOOplWkqTFhjEEGOOLsg+m6Zye8WbZBcFgOPD43l//3fDy+9CJ7t0RuixzOve8MPH53ZRSxN8tL7313Z98xQwA4585TaNY6F4/fLobh8tixAFePvygjOhgMjQHJvrJKfn8AN4gfybu7IdVq8hjX0gwRDoX57q2fmPTBNJq3yWXEuYdl1JNoEwt+Wcwnz3xJ2cZy9jtuGPscM6haPYKy4nI+f+4rfv3hNzru3oGR5x1Kyw4tMq6HwdCQaKwUrfgfhH8Ba1fEfxJitW1otRo1Js5gJyRQHmDxzGW0796OZikCypb/tpJwMMyue3VJ2h4KhilaU0SzNs1we5LVcd1+VJXCVRtwe11mGstgqGMaLM5ARLzAt4An3s9bqvqPGvuMA/4JrIxvelRVn64rnXYGbj/pAb5986fK/7vutQuP/nQ3bq89dTTr21+5ceQ9BOIL2y6Pk2uf/xsHnrgPYN+gX7rjLd745/toTBGB468axZn/ODGjQT2//vgb9531KOtWFkJM6b3v7lz30qW0aGfqHRgMDcEWRwYichxwL9Aae7leAFXVWnMYiH3nyFLVUhFxAd8Dl6nqT1X2GQcMUtVL0lXYjAxS8/iVz/P2Qx8mbO/WrwuP//JPAuUBRueemTRZ3QuLHqVd1za8/fBHjL/xVbtwTRyP38OZt5zAiVcfkxE91y4v4C+9r6g0SACW00G73doyfu5DJpLUYKgDMlHc5j5gtKrmqWququZsyRCAbS1UtTT+ryv+alpzUk2MDx7/LOn2hTOWUlZczku3/y+pIQB46poXAXjtnneqGQKAYHmQN+57L2N6fvzUF0RruLpGIzEKV65n9nfzMtaPwWBIn3SMwRpV3aZfqIhYIjIDWAtMUNWfk+w2VkRmichbIpJ0xVVEzhORqSIydd26dduiyk5BOJTax7pg5XpW/PZnyvZVi9cCsLGgJGn7xsKSjEVTr1ywKmXcw7rlhRnpw2AwbB0pjYGIHBefIpoqIq+LyCmbtsW3bxFVjapqP6AjMERE9qyxywdAF1XdC5gAPJ9CzpOqOkhVB7Vq1SqtE9sZyWmenXS7iNChe1sGHdEv5bF7HdgbgF16dUja3qln+4xN3/TZfw+8SeIyotEY3Qea7KYGQ0NQ28hgVPyVC5QDh1fZNnJrOlHVIuAr4Mga2wtVddOcxNPAwK2Ra6jOxf8+J+n2I/86HKfTyYhzDyG7WVZCu8vt5Ow7TgLgwn+Nw+NzV2v3+Nxc+K9xGdPzsDMPILdlDk7XZpdYj9/NsJED2WX35MbIYDDULeksIO+rqj9saVuS41oBYVUtEhEf8Dlwr6p+WGWfdqq6Kv5+DHCtqg6rTa5ZQK6dr17/gccuHU9xYQken5sTrzmWM27aXFSmrLicW477J7O+nQsK3QZ05Zb//Z1WHTfHIsz5YT7P3/w6S39dzi69OjDutpPps3+vjOq5saCYF259kx/e+RmP38PoCw/n2L+NqJO03waDIQNxBiLyi6oO2NK2JMfthT3tY2GPQN5Q1dtE5DZgqqq+LyJ3A6OBCLAeuFBV59cm1xgDg8Fg2Hq2Oc5ARPYG9gFaiciVVZpysW/wtaKqs4D+SbbfXOX99cD1W5LVFFi9dC3jb3yFXybMIqtZFsddfjSjLjgchyP9jB+TPpjCg+f9lw1rN+J0OTli3EFc+p9zt0rG5y98wxNXPEtJURlur4uxl43knLtOrWwPVgR59a63+ez5r4lGYhx4wt6cecuJ1dYbZn79K8/e9Cp/zF9Jpx7tGXf7yfQf3idtHQCevek1/vevDwgGQmTnZXHe/Wc2yRrIkViMZ6ZP46VZM6iIhDmk625cvfd+tMpKnG5LhWoALX0CKt4GIuA9Csm+FHFsrjGhwZ/R0gchshicXZDsKxDP3nVwRgZDclKODETkQOAg4ALgiSpNJcAHqrqgzrVLQmMcGaxfvYG/7nklZUVlxOKumx6/h8PPOpBLHzs3LRlTJ8zk+iPuSNje/5A+3Dfh5iRHJPL581/xz7MTaxccPu4g/j7+YlSVqw76B79NWUgoYHseudxO2nRtzZMz78fldjHlsxncetw/q6XC9vjd3PT6lQw9Or0lnQcv+C8fP/lFwvYrnjyfEX89NC0ZjYVLPv6AiUsXE4jY3k9OEfJ9fj4/42xyPVvOO6Wq6PrTIDwb2LQ85gKrI9LyA0TcaPA7dMPFVE/L7EWaPYx4D870KRl2UrY5zkBVv1HVW4Fhqnprlde/GsoQNFbe+ffHBMoClYYAbN/8T8d/xfrVG9KS8fCFTybdPv3L2RQVFKcl4/ErkjpjMeH5rwmFwvz6w3wW/LK40hAAhEMRCleu54d3JgPwxJXPJ9RECJaHeOKq5LJrEolE+OSpL5O2Pfn3F9OS0VhYvGE9Xy7ZbAgAIqoUh4K8NXdOekLC0yAyl82GACAM0TUQmACAFt9FYn7+AFpiEq8Z6o/aXEs/EJH3gUdE5P2ar3rUsdEz+7t5hIOJfvNur4ulc5anJaM2//rZ385NS0bpxuSFPVRh1aI1/D5tMdFILKG9ojTAvJ9t+77i9+SxCCsWrEorzmDNsnUp99tUd6GpMHfdWpyORHfaQCTClD9XJjkiCeFfQZPFVJSj4Zn22+iS5MdGl2YstsNg2BK1TUbfDzwALAEqgKfir1IgM+W7dhA69eyAw0q8lJFQhNad04uLyMr1p2zbtU/ntGTUllCuVacWtO3SGqc7cZnI4/fQvpud8bFZ6+S1kpu1yk0rzqBVLRlSXUn6bsx0zM1LGjLvtix2bZ5mDiWrA0iyz8UH1i72W0eKayYtTGoOQ72xpWmib4B9VfUkVf0g/joV2L/+VGz8jL1iJK4aN2KX28nuw7rTsXu7tGSc+Y8Tkm5v07kVHdKUccwlRyXd3mPQrvizfQwZ0Z+sPH+C4XK5nRxyqv2RnnrDmIRCPR6/h5OvG5OWDm6vO2VBn1EXHp6WjMZC3zZt2SWvGc4aC/hOh4NT+/RNT4jnQJAcEn5q4kJ8o+33WReyOTf/JnyQff62qG0wbBPpuKlkiUhlWKiIdAXSd6XYCejSuxO3vXsNbbq0wuVx4fI42Xv0IG5955q0ZRxzyVGMvXIkUmVaomOPdjwx/b60ZZx33xkcctr+dirBON0H7sqD394OgNPl5OHvb2ePfXridFk43U5269eFf317W2Uw2uiLjuT0m8biz/Hh9rrw5Xg55foxHHfZ0Wnrcf/Xt9JzSLfNGwQOPGkfLnzw7LRlNAZEhJfGHM9+nTrjcjhwOSx2bdacF449ng45W0zPFZfhQlq8Bq4BVKbocvZC8l9BHLYM8Z8G2ReDZAEe+2/2+Yj/rDo7N4OhJunEGRwJPAksxr7NdAbOV9XkWdHqmMboTbQJVaVoXTHeLA++LO82yYhEIiyf/yct2jff5hz/oVCYlb+vovUuLVNOP5VtLCMajaXsIxKOUFxYQm6LHJyubZveKSsuZ+0fBXTo1rYyhXZTpTQUIhSNkO9LPZ23JTRWAkRTlmZUDUOsCBzNkKRTSwbDtpOR4jYi4gF2j/87v0oKiXqnMRuDxkDJhlI+eWYic76bR6fdOzD6oiNoU2XdQlWZ8dUcPnv2KyKhCMNP259hIwduVSyDIfMUlq7g9+WP4GU+FfSgR8dLaJmT3lpRJokFf4CS+yC2DpyDIPcmHE6TD2xHYJuNgYgMV9WJqZLSqerbGdJxqzDGIDUFKwu5aNC1lBdXEKwI4XRbOF1O7v38JvbYuycAT17zIh88/hmBMtuee7M8DD16IDe+erlZrGwg/iicTm7ZmbgdEbzOKIGoRThmscH3HF1apvztZpxY6eNQ+mCNrRa0/BSHs/4NkyGzbE89gwPjf0cleW1VojpD/TD+xlcpLiypjBOIhKIEyoLc/5fHAds99L1HP6k0BACBsiA/fzTN1BFoQIrW3UC2M4jXGQXAa0XJskKUFt5QbzrEYhEofShJSxSKrqo3PQwNR22Twe+IiKhq01r124n5+eNfksYRrFq8huLCEqZ+NiPpccHyIJM+mMpeB+xR1yoaktAzdzE1Z+kcDuiZu4xYLFY/U3jhSaSsPRVJL87F0LSp7Vv2NFAoIhNE5FYROVxETNXyRow3K0V6BAWX14U/x4fDmfiRW06L7GbbvjBq2D5C0eTPZKGoVX9rOZJfS6PJJLszUFucwSDsojR3YsfSXwosFJGZIpKYAMfQ4Iy64Ag8/upeO06XxeAj++HL8rLvsYOTPvw5nBaHnHZAPWlpqMmckv0IRKvfcINRi9nF9ZeozuHuDZLigcBrZoV3Bmp97FDVclX9GngYeBB4DDvG4MjajjM0DCdcNYq9Rw3C7XXhz/XhzfLQtU9nrh5/EQBZeVnc9t61+HN9lS+P383fx19E2y6tG1j7nZf+3e9nYUlXKiJOSsNuKiJOFpZ0Zq9u/6pfRZq/iB0LUb/VFJ0AACAASURBVAVrN8i9s371MDQItXkTnYqdwrof9shgCvAzMElVV9ebhjUw3kRbZuXCVSyasZQ2XVrTY+CuCV5CoUCI6RPnEI1E6T98T3zZNaNfDQ3B0oLJFJbMJj9nT7q2HNogOsRiMah4E6KLwXskDndCFnpDE2Wb6xkA/wV+w05f/a2q/p5p5RoTa/9Yx9TPZ+H1uxk2ahD+nK2/Qa5YsIqZX80hJz+boUcPwOOrPodfWlTKK3e+zfrVRQw/bT+GHFlrfaBtQlUpWV/KxoISfNleYrEYllV9CsLtdTN0ROb7bqrML1jHL6v+pJU/i4O6dMVlNcwceZeWQ+jSckjK9oLSP1i8+h1ELLq3O55m/rbV2lWjEJoE0eXg7AWuvlvtLuxwOCDrpFr30chSCP0EjmbgOQiR6gGWqkEIfg2xDeAegjgT61pv7zVXVQjPshe3rQ7g3hcRs7axPdQ2MrCAvtijg32AnsAqYBL26GBifSlZlboYGbx8x1u8ctfbiMOBwxI0ptz67rUMOCS9gi6qymOXjueTZ75EHILDcmBZFvdOuIkeA3cD4KtXv+eu0x+uNme/S68OPDX7XxlbJAwFQtw48m7m/7wAjSkOp0Veyxwe/O52WravbYFw5yQai3HZZx8xccliAJziwOty8trYk9i1eeO6Xj8veIA+/qeJxQRFcEiM+eGrGdj1LwBodB26/hSIFYJGAQHXnkj+Mwk3621FVdHi2+2RAwJiARaS/xzi2tPeJzwXXX8WEInroeAbg+Teiohk5JqrBtEN50Fohi1fLHA0R/JfRaw2GTnXHZHtqWcQVdVfVPXReHK6EcCnwNnAhMyr2jDM/el3Xr3nXUKBMMHyIBUlAQJlQW4Zcx+B8vQCrSe9P5XPnvsqLiNERUmA0qIy/m/UPcRiMSKRCPec8e+Exds/5q3k6Wtfyti5vHL3O8z98TcCZUGCFSEqSipY+0cB9531aMb62JF4/dfZfBWvVxCIRCgNhygsL+eijxtXhvYV6+fQx/80XiuK3xUhyxXG54zSy3U/haUrANCN10F0JWgZdm2ECgjPQksfy5wiwS8h8D/sWeOA3ZcWoxvOQzVmvzacD7qxih5BCLwHwc+BzFxzLX0CQr/Y57hJj+gqdGP6ucAMidRWz2AvEblARF4QkYXYawb7AY8ADTOhWQd8/tzXhAKhhO3iEKZ9PjMtGR89NaFaINcmAmUB5k9eyMRXfqhW+KYqnz771dYpXAufjZ9YrXANQCwaY/a3cykvqchYPzsKr8yZSUWkeq0BBf4o2sjyjRsbRqkkLF/7ClYSNzBFWLjqNVQr7OkhojX2CELF/zKmh5a/Dprke6QV8SmbX0FLk7Zr+WtAhq55xVtULxYEEIXQFDSWpH9DWtS2ZvAc8D3wCfB/qvpHvWhUz4QCITTZjVohHAwnbk8qI/l+IkI4GCZQVrOK1WaikZo/4G0nEkpWRCXz/ewohKLJr4mIEIqmvpb1joZwSGIwoaD2/LzW8tlqet/h9PRINVIWIARqUS1lbpJjM3LNaz0n8z3fVmqbJhqgqpeq6qs7qiEAOPDEfZIGa0XCEQYctldaMg457YDkAV8KvYb14NAzUvvwDxuZXl3hdNhv7FCcrsRFtM57dKpW8N5gM7rH7niSLFzmeTyNas2gZf5oQrEkz20CnVodiziy7QXjhBuxE7yZqyEhvmNIrLsAdlRjP3D1SaIDID7w2rUbMnLNvUeQ9DnW2Q1xJC/OZNgyO32qyiFH9Wfo0QMrb+aW08Ltc3Pxv89JO4X0oafvz+5DuuPNthfqnG4Lj8/NtS/8DbfHhT/bxxk3H59wnD/Xx2VPnJexczn79lNo2bFFpR4en5usPD/XPH9JxvrYkTin/yB2a56P32X71nssC7/TxUNHHt2okvZ1b3MAs4oPoCLiJBqDaAwqIk5mlBxDh+a9AZC8e+JFdOKLxeIHR2skJ4N5hXyjwdUX2BSc5gK8SN4/EXHbr7z74zq4Nuvh7I347XyXmbjmknM5WG2rBMl5QXKQvPRrfxgSSSuFdWOiLryJVJXpE+fw43tT8Od4OfSMA9ll9w5bJSMajTLlkxlM/nQ6zVrlcvhZByUEcv36w3yevek1NhYUs/foQZx+8wm43ZnNWx+sCPLNG5OY9/PvdOjejsPPPIjcFiaLSCrC0SifL1rITyuW0y4nh+P36E3rrMY5ipq/agIbNrwNYtEq/yS6talecFBjRWjFuxBZgrj2At/RGfMkquxDoxD8Fg1+A458xHcc4uxYfZ/oSrT8HYgVIJ794+6nm0cDmbjmqgEIfIyGZoLVBfEfizjSLEW6k5KRegaNicYcdBaNRFnx+59kNcvaZlfOUDDMnwtXk9cql+Yp6hHP+/l3igtLGXj4XjidTauusGHbUVWILgMciHOXOutnccFCVhUvZa/2Q8jxplfRrSYFG6cSCK2gbfPDcTpN3qvGwDYHnYnIB6RMYwiqOno7dduh+ObNSTx84ZNEQhEikSi9hnbnpjeupFmr9OcwP3xyAk/9/UUUJRKKMuiIvlz34qWVAXDzfv6dvx96G8G455I4hLNuO4nTbhhbJ+dkaDxoaCZadDnE1gOKWu2RZo8gruT1preFdaVrmb1gHHu3XkJLlwNdB6+tGsnJQ+5NW0ZRyVwcRSfT3Gk7Tei6a1gUOprdOtesk2BobNQWdHZg0oY4qvpNnWi0BRrjyOD3aYu48sCbCZZvdlG1nBa79evCY5PvSUvGlM9mcOvY+wlWiW1weZwMPLwft793LZFIhJFZpxMNJ3pL3DvhJgYckt5it6HpobEidN3Bcd/9TQhIHtL624xNBX05fQR7t16C19r8HSuPOPmi8BKO7XtRWjLKVuyJ1wpRdfpfFVbItXRu+5eM6GnYNrYn6Oyb2l51o27T5O2HPkpwL41Goiybu5xlc5enJeP1e9+tZggAwsEI0z6fyYa1G/noiQlJDQHA09dlLnDN0Aip+CCJ+6gCIQh8kZEulq1fyj6tF1czBAB+Z4SO1utpyfiz4OMEQ7CJrOATmVDTUIds0ZtIRLqLyFsiMldEFm961YdyTYU1y9YljVVwupwU/rkhLRkFK9cn3e50WxStKeLPRalzA65fVZSeooYmicbWYEfz1mwIQ2xtRvpYVbyUcCx5bp9W3vQCuYKB5OnLRMBnlW+zbob6IR3X0meBx4EIcDDwAmAeRasw8LC9cHkTvYJCgTDd+ndNS0a/g3tjOZP8GBU6dG/HfmOHpTzWVCjbsRHXQDa7c1bFCa7MZBXds93gpAuEkZgwp6hLWjLymyeve6AKhWFTQ7mxk44x8Knql9jrC8tU9Rbg6LpVq2kx+uIjyc3PxunevB7vzfJwwtWj0nbrPPWG4/DleLGqVCLz+D389Z7TcHvd9NmvF512b59wnOW0uPChcdt9DoZGjOcAcHWnMoYA7PfuwXawVwbI9mTxyeoxlEc2f4fDMaEs4qJju+vTkpGX1Y2VgZ5UXYZUtSe0clvenxE9DXXHFl1LReRH7JxEbwETgZXAParas+7VS6QxLiADbFi7kdfvfYdJH0wjr2UOY68YxQHHD9uq4KW1f6zj5TvfZsbE2bTokM/J145hyFGbn/xisRgPnf8kE1/9jmg4Ss/B3bj+5Utp09kUptnRUQ2gZc9DxbsgTvAdj/hPRSSzcSrvz36SNrxKa28Jv27sQqd219G3Q8o1x6QsWnYtba2PcDoiFATb423xIC1y+2ZUT8PWs91xBiIyGJgHNANuB/KA+1T1p0wqmi6N1RgYDAZDY2Z7itsAoKpT4oIcwKWqWpJmx17gW8AT7+ctVf1HjX082GsQA4FC4CRVXZqO/K3hy5e/48Vb36Bg5Xp22aMj5913Bv0O3rOyfe0f63ji6heY8ukM3B4XR54znLNuPRG3112L1MzzxUvf8OjfxlO2sRyH5WCfYwdz0+tXVtY7CAXDvHTbm3z81BcEK0IMOqIfFzxwFm06t6qUMfObX3nqmhdZOmc5+e2bc8bNJ3DYGbV6CdcJ782fy8M/T2J1WSnd8ltw/b4HsHen9AOlYvG8958uXEBUlWy3m5sPGM7xe/Su3GfR+kLu+O4bJq9cTrbbw5l9+3H+wCE4t6I+xII13xIsuoOuWSsoDntZFj6eId2uq7zmqiG09BEofwMIgHt/JPd6xNocoT53xYdY5ffT0b+G9aEcVutZDN7t4rR1yBSxgrMgMin+n4D3ZBzNbq1sX1lSzF3ffcM3y5bgsSxO2KMPVwzbB088cDEWizF54X3s4nqTPFcFS8s64Mq7gR5tD66UoZFFaPHdEJoCjmzwn45knYtI5oIf07nmGpqMFt8LkQVgtYasS3D4j82YDukSK38fyh6B6Bpw7obkXIt4Nq/vafRPtPgeCH0LuMF/ApJ9Kfatr3GRzshgEPYi8qbJ743AOao6bQvHCZClqqVij2W/By6rOqIQkYuAvVT1AhE5GRijqrWWWdrakcGH//2cJ656oZrbpsfn5s6Pb6Dvgb0pLSrj7J6XUlxYUplm2u110Wf/Xtzz2U1p97O9/PDeFG4Zk5hbpdew7vz7x7sAuHHkXcz46ldCFXY8gziEnPxsnp3/MLn5Ocz5fh7XHXlHtXgHe93hVI69ZET9nAjwyuyZ3Pnd19VSFXudTp4dfRxDO3ZKS8ZJb73GlD9XJmx/9KhRjOjeg1UlJRz58nOUhkKVC59ep5OjuvXggcOPSquPpQWTaRkYh9+5Wc/yiJNZJYexT6+HAYitP9eu6lWZMtlh+/e3+gxxNGPun5/QOXYVvhoy5pSfzrAeN6SlRyaIrRsL0dmJDb7TceTdTHEwwCEvjGdDRYBY/Ip5LIvB7Tvywhg7b9aP869mr+yPq12PioiTNZ5n2LXV3mh0NVpwdDxNdeVVt8tjNstcXqAtXXMNTUXXn0N1Dysf5FyFI+vMjOmxRT3LXoWSe7DrKmzCi+Q/jbiHoLFidN3hoEXApqyzHnAPwpH/bL3puYltjjOownjgIlXtoqpdgIuxjUOtqM0mnzRX/FXT8hwDPB9//xZwiGQwQ1gsFuPZ/3s1wX8/WBHimetfBuDT8ROpKAtUqzcQCoSZ88N8Fs1cmilVtshjlz6TdPu8nxZQ8Od6ls1dXs0QAGhMCZQF+eTpLwF45oZXqhkCgGB5kOdvfoNoitTBmSamyv2Tvk/IWR+IRLjvx+/SkrG+vDypIQC4/Vu7wN74GdMIRCLVvlCBSISPF/zG6tK0Bq8UrL0ftyPRr75vzueUBjegkYUQ+pnqufNj8fz8bwCgJQ9UMwSbZOzufZVoNIPpo2shFg0lNwQAFa8A8MavcygLhysNAUAwGmXaqpXMW7eWilAxfWsYAgC3I8KGAnvxV8ueAw1Q/WcczxEUzUxZ9HSveaKrbQWU/tvOnVQPqMag9EGqGwKAAFoSv17lb4GWs9kQAAQhNA0Nz6sXPbeGdIxBVFUrf8Wq+j22m+kWERFLRGYAa4EJqvpzjV06AMvjciPYo44W6chOh9KiMipKktcSWDbXrhD125SFCTdQsGvBLpldf5m7169OHSsw76ffWTL7j2qeRpsIVYSY9/MCAJb+mjzALRQIUVxYP0U/ioMBykLJb4IL1hemJWPGmlUp2wrKbX/1GatXEY4l5vh3W860+2ntWYbTkTgyjqqDtcW/Qfg3IJnvfQDCduGj9r41SWW7rQhFFcnbMk70t1oa7Ws0a81qApHEn61DhN8KC1hbsoCoJj6HWQ5o61lm/xOeAST5bMUDkUXboHgS0rjmRBYmP1aDEKunmBstrhERXoVN+kVmkTQ+RCyINL6S8ukYg29E5L8icpCIHCgi/wG+FpEBIlJrVfV46cx+QEdgiIjsWdv+qRCR80RkqohMXbduXdrHZeX6cXmSe1tsyijaZc9OuJPECKgq7bu1TdheV9RWb6Bb/66079Y2aWCby+Oiax97Lr5d1+T1Xx1Oi5zmWZlRdAtkuz1J89UDdMxNL+lZr5apvaNyPfZca88WLbGSDCJD0Sid85ql1U9hqA1J7AlOR4wWWbuCszMkKSoDbnDaznTrgskTEkZjDnK9LdPSY7uxaotlsa9RjxYtkn4uCnTOa0Z+VhdcjsRzjSkUBOPfK2dPkt6oNQRWetN/WySNa47VMUk78VrI25ZYb6uRbJAUa4qb1jacPbCXTGuiYDW+uIt0jEFfoAfwD+AWoBfQH3gASMt5WFWLgK+AI2s0rQQ6AYi9ApWHvZBc8/gnVXWQqg5q1apVzeaUWE6LE/8+Go+/+gfi8bsZd/vJAIz466HV4gMAnG4nnXbvQK+hmUsCtiXOuevUpNs79mxPu65t6D5gV7rsuQuuGrq63E6OPu8wAM667SQ8/upfUI/fw/FXjsTpqp/spk6Hg/MGDsJXI5uq1+nkqmH7pSWjXU4O3VIUOrlqb1vGXwYMwmNV78NjWezTqRO7pGkM/M0vI1ijaExFxMnsjUPJ87cGZ2+welCZm38T4kL89tJWhedCKiLVZZRHnMwuHYHLmdn00alwWNngSHGD9NjrJyftuReuGsbA5XCwa/N8+rVtR463BTM37p1wLsGoE0+zSwGQrLOT3AA94B6WuSyqaVxzybmM6jEXAD7wn51xV9tUiDgh61wSi/14kewr7H18J0KCPi7beLsan6vtFo2Bqh5cy2t4quNEpJWINIu/9wGHAfNr7PY+cFb8/fHARM1wTu1TbxzLaf83lqxmfhyWgxbtmnPFkxew9yh7HaV5m2Y89N3t7D6kGw7LgdNlsd+YIdz7+U31WuDkqHOGM+6Ok6tFIXcftBuPT7MzRooI93x6I/uNHYbT7cRhOeg5uBsPfHNrZbrsoSMGcNUzF9GyQz4Oy4E/18cp1x3LGTefUG/nAXDx4GFcMngYuW4Plgits7K4+5DDOWTX3dKW8f4pZ9CvzeaRmSXCZUP35tQ+9o+oa7PmPD9mLD1btMQhgseyOHb3PXj0qFFp99Gz7SEsit3GyrJmRGNiLx4XD2dADzuPjogg+ePjlbVcgAOcfZD8lxHLflruu8vJzAtdztqKbCIxoSTsZlbpaIb1TC9BYcZoMQEcNZ42nXvjaP4QAK38Wbxx/Mn0bdMWhwguh4MjduvOi8ceX/k9H9TzCWaWHEp5xEk0JvxZnsfC2M3s3u4IAMTZBWn+bPyJ1wF4wHcM0vzfGTuNdK65eA6CvLvB0Qaw7Kf07POR7L9lTI+0dM26ELIvihcVssDRGnLvQLz2bVGslkj+q+Dayz4PXOA9DMl/rlEVT9pEOt5EbYC7gPaqepSI7AHsrarJVzw3H7cX9uKwhX0l3lDV20TkNmCqqr4fdz99EXuksR44WVVrzXu0rXEGsViMcDCM2+tO+UGEgmEsy5E8LUQ9Ury+BH+uL2WtgmgkSjQSTen6qqqEAiFcHleli2RDEFMlFI3gsZzb/OWPxGKUhoI08yYrt2gTjERwOhxY23GugXAJbsuPw5H8s7eXtKIpXQJjsRihaFmtMuqDWDSE/VNqhSPFdF0wEsFyOFK64MZiUULRcryu1NHzqkHAWa1oTabZ0jW3711BwI3t+d4wqMaAEOBJ+T1XDQGOjLrgbi2ZCDr7BNt76EZV7Rufzpmuqn0yq2p61EXQWSgY5osXv+Wr177Hn+Nj5AWHM/iIzIT5G7aduevWMn76NFYUb2S/XTpz+l79qhmF8nCY13+dxeeLFtLS7+fMvv0Z3D7FdMl28N0fS3l59kxKgkGO7t6Tsb16V/rmA6wrL+OFGdOZ/OcKdmuezzn9B9Itf7MfhKoyYfFCXv91NuFojON67cHIHrtXuxlrdKUdYRyeA649EP+4ahXEorEYHy74jbfn/YolDk7s3Ycjduu2VUY2GInw7vy5vP/7fLLdHk7r05cDOnfZvovTSFFVCH6Blr8JhBDfGPAe3aA344YmE8ZgiqoOFpHpqto/vm1GfGG43sm0MYiEI1x10D9YPHMZgbgLqjfLw5jLRnDOHcnn8Q11z2cLF3DF5x8TikaJqeKxLPI8Xj449Qxa+bMoC4U49vWXWVlSTCASQbDXJa7d9wDO7JuZ5G0AD//0I0/+MqXSVdbndNK9RUveOP5k3JbFiuKNjH71JcojYULRKJYIbsvi6VFjKoPsbpz4Oe/On09FJByX4WJIh448M3oMDhE0PB9df4q9EEsYcNlz5PmvIK49UFXO+/BdJq1YTnnYluF3uhjRvQf3HVZzGS454WiUU/73OvMK1lU5Fxdn9xvA1fukt5bTlIhtvAkC74Nucv30gXsw0vzJBh1FNCSZiDMoE5EWxJ2LRWQYtgvoDsF3//uZxbM2GwKAQFmQtx74kIKV6bkoGjJLNBbjhokTCEQixOIPK8FolA2BCh6fMhmA136dVWkIwP5yVkQi3PPDt5SGEl2Ft4V1ZWU8Pm1ytZiJikiEhYWFfLzAdue874fvKA4GCcXjOKKqVEQiXPfl56gqCwoLeWf+vEpDYMsIM+XPFfy43HZd1uLb4m6Km/YJg5ajxXb08E8rljNp+WZDAFAeCfPhgt+YV5Ced92nixYwv7CgxrmEeXr61LTjMpoKGlkIFe9VMQQAFRCeCqFJKY/b2UnHGFyJvdC7m4j8gJ0+on5XauqQnz6cSqAsmLDd6baY9c3cBtDIsGxjEcFook98OBZj4hLbn33C4kVJ/eZdDgcza4lT2Bqm/LkCV5L5//JImAmLbV/y75cvqxbItYnVpaVsCFTw44plJBt9l4fDfLNsif1PeHpyBcIzUFW+X76M8kiif380Fqs0KFviy8WLqhmTTbgcDn5euSItGU2G4I8krdir5WgwvcDHnZF0chP9Ei+B2RPbafk3Va2f0Mp6IK9VLg7LQSxa3bdZRMiuxfffUHfkuD1EkgUAAHle26UwP8WCclSVZp7MuHTmppDjEKGFz64vkOP2UBRIFtio+Jwu8jxenA4HwRoR4G7LIt8XPwfxQ7KUX+JDRGju9eGxrAQZLssiz5NejpsWPj+WCNEahkkQ8jJ0vRoNjjw75iDBHrjB0bwhNGoSpBwZiMhgEWkLldHBA4E7gQdEJLkTeBNkxF8PxeVJtIkuj4sBhzbIGvlOT6usLAa0bZ/g7eJzuvhL/4EAjOs3AG8NbyuHCG2ystmjVWZSeg/r2Am/K9Fv3W1ZnBJ3cR3Xt39CTIXbsjh8t274XC4O2zX5Iq9DhGN7xosS+U4iMTjJA74TARjdc/ekMgQ4Yrf0YmFO2rNPQpwBgNtpse9WJBBsEngOJfmtzYH4jqlvbZoMtU0T/RfbXwoROQC4B3uKaCPwZN2rVj906d2JK568AG+WB3+uH1+Ol5Yd8vnnFzfXW6CWIZFHjhpJr5at8Dmd5LjdeCyLM/v2Y1SP3QEY0qEjf99nf7zxdr/LRee8Zjx3zNiM+XA7HQ5eHHM87bJzyHK5yHG78Tmd3H7wofRqaQc/ntVvAMf07IXHsshxu/E6nQxo2567hh8OQJbbzXPHjCXf5yPb5Sbbbb8ePWoU7XJs103JuRw8BwGeuM+6BzwHIDlXA9A6K5vHR4wmx+2pPL6518uzx4wlJ82RQY8WLbn7kMPxO+3zyHK5aJuVzUtjTkhqJJoy4shCmj8D0hwkKx4tnI00exix6i+rQFMjpTeRiMxU1b7x948B6+JVznYob6JNBMqDzJ30O94sjx2A1oD++YbN/FZYwNrSUnq3bk2+L7H0Y0kwyIw1q2ju9dG7Ves6CeaJqTJrzWrKwiH6t22fdLSwtqyU3woK6JCby65JoqcjsRjTV/9JNKb0b9uummvqJjS6EiKLwepaza10E6FolF9W/YnlEPonGTmlQ0U4zC+r/8TvdNG3bTscjTD4KVOoRux8ShoFd38kVfqInYTtqWdgiYgzPkV0CHBemsc1Sbx+DwMOMdNCjQnVCnr4f6SHdy1YfVEdlHCzn7hkER/8Pp/mPj+XD92HDjXyH2msFAKf2WmE3UMR19anx3KI0K9tu5TtkViMt+fNZfLK5XRtls/lw/Ymp8Y8vKXrGJT3NXaOx+FA9akZ1SiEf7eTnGkItdom+MQ7I9MYkhWP44ycC+7q39dQNMoXixexvLiIPVq2Zt9dOifc7H0uF/t22r68OHPWrmHSij/I83g5sluPynxRjQ0RJ7hTV2lTjULwW/uaO3cFz4F1EoegkYV2P+ID7xGIo3HOstc2MrgRGAEUYH9zB6iqikg34HlV3bf+1NyMqXS2c6DhBej6U7HdLEN2ThxXX6T5U4i4icRiHPL8MywvKa523K0HDeeMvew4Aw1NRzecYxfiJYSdDmA4kvdAxnzNC8rLOfC5p6q5bDqAV8eexOAO9tN9rPwdKL4Ze5Y/Zv/N/huObPv5SmPr0cJTILbWzrwpHnC0QFq8UXnjiK0/D0JfV+/cexyOZnbai5UlxRz/xiuUhkIEo1E8lkWXZs15bexJZLkz80QcU+Xqzz/hs0ULiMRitqeVwLPHHFcnwX51STrXPBPEiu+B8leAKPYztCLNHqpMWVGfbHOcgareCVwFPAfsVyVnkIMdyLXU0DjRokvjaYLLgYj9NzQdLXsRgHu+/ybBEADc8vVEu86BRtGii+L++3EZVEBwIgQ+ypie537wTkLthhjwl/ffsc8jWhA3BEHsdMYh+33po2jYTmOsxXdCdHlc14j9N/onutGOM4gFvk40BACBt4mFfgXgmgmfUlBeTlk4TCQWoywcZsH6Qh786YeMneunC3/n88ULqYhECMdilEfClIfDXPDheym9vxorW7rmGekjNAXKX8X+3MPYtQ8C6MYr0FiK9NcNSK2PR6r6k6q+o7o5cbeq/q6qv9S9aoadFY2uhOhKEn0DA1DxFgDvzE8eA6LAW3Pn2GkdNInLp1agFW9mTNfZa5LXLCgNh1hVUgLBL0n+Mwujm4xS4HMSS4RE7HQKqlA2PrUC5U9RHg4z5c+VCW6joWiUeWRSiAAAHgBJREFU937LXBGVN36dkzRWIRyNMWN1ZmI76o0tXfMMoBXvkrSeARaEvs9IH5lkh5v7N+wAaG1PmfYPtbbfq31TrGWHWuVvHVpLP1GNxfVIto+yuQJWKhmbtteir8ZqvXklKYGxzcRS9SO1tDVatnTNM8Gmzz9ZH41vJGVcZgyND6sjWMkK9XjBZxc9P7pHz5SHn9CrN7j6kJATHwAf4j8uI2oClS6mNfE7XXTMzQPPwSS/IbgRb7xWs2c4iUVjLPAcZC+Y+89IrUDWX8hyuytTU1fF5bAYWct12lqO69UbnzPxmjpE/r+9+46uq7oSP/7dr0lPXbblgisuGBeMsY0xBkIvBgOJgWAmISEzQEggE34JyUoPZPILyUyawwQSQgqEDqFDHJxQEjru3cZFNpabbNnq0mt7/rjXRuVJepZfk7Q/a2lZuu++o61j6e5bztmHkzp5wJ6VuurzJJDcuc5D47Y0AoHsqwdlycBkHRFBSn7pjg9vMUvXPx7Jvw6A755xFgPy2g81/drs08kLBBDxISUL3PfnfNRGYCbkXpa0WH879+ME2pSsEODXFzvrKoh3EBR+w43Bh3MAyoW8zyJ+Z9KZFH3XqYUv+R/F6RmAFH0PAE/wQvDHee6XcwGegDP57X/Ov4iS3NzDw17z/X5GFBfz1VOTN87j0uPGc9rwEeT5/QjOYkJBn4+75sztcXMVuurzpAjMhtxLcRbA8QABIAeK70Q8HZcHz5Quq5ZmGxtN1HdorAaaXkSje5DAVAh8rNUooFgsxp9XLufFDzbSLy/IrafM5vg2Z+oaq4LGF9BYFRI4FQIzkz4XoSkSYcG7b7FkZwUjS0r5+uzTKctvXcpEI9uh6a+ohpHc8xF/6zN21RA0vYxGPkB8Y5whiG3q+Mca/w4NDwBeKLgeT07rA31DOMyLH2zgw+qDTCgbyHnHjkn6QVpVeX9nBW9s30ZpMMjc48ZTlpeeJVWTLZE+T8r3Ca9Em15DPPmQezHizcxV1FGXsM42lgzSY19DA9uqDzCiuCSjf+w7aqrZW1/Pcf0HUNDNIZIrt/+FxuZtjB96DSV5R/6HqKpsqqqiIRxiQtlAAik6C9bofohuA+8IxNt+/WTVKETW4az+NSErV8sy2etoJp2ZPigSi/HtVxbx7IZ15Hi9hKJRLhk3njvPvSCttwJqmpv4wovPsXTXLgJeD+FYjJtPPoWbT56VcBub9vyLweHPM8kfcR4fVP+Gd8unc8rERxJuo/zgAW54/hl21tbgFQ8i8JNzL+Siccd146eKTzWC1nwPGp9zxrtrCM29GCn+4eE1fTX0Hnrwy+4IKQUpgtK7uzWJzph47JmBaeWu997m+Y3rCUWj1LoTmF7atJFfvPNWWuP48sKXWLyzguZohNpQiKZIhLvff5eFmz5IuI0h4RsJeiOIcPhjRukS3t54Z0Lvj8ZifOqpJ9hyoIrGSIS6cIjaUIivLPorm6qSt9aF1v0aGl8AQm710mbnllLtAuf16H70wA0Q2++Mh9cGiO1Gqz6LxhqSFofp2ywZmFYeWLGs3ToBTZEID65anrYY9jU08PaO7YTbTGRqjES4d+n7CbWxrPxBcr1R4t1JOdb/eEJtvFexg5rm5nZjgcLRKA+tWpFQGwlpeJD249GboPFh99MX4g+H1Sg0L0peHKZPs2RgWulolbD6UChpk3G6Ut3U2GERtv0NiZ0JNzWXx90uAvm+xFZCq2psJN6w0Kgqe+rqEmojIdpBW1qPqqKxSpwZzG2FnasFY5LAkoFpZcqg+CV+Jw8clLYHliNLSuMmA5/HwxkjRiXUxujB8+NuV4WtdcMTamPakGPillkI+vycfezohNpIiL+DAom+Sc4w28AsZ+hj+x2cobLGJIElA9PK9888h6DPj9c98HtFCPp83H5m+gpr+Twe7jjrXII+H4fSj9/joTCQwy0zT0mojUHFY1lx4PhWM5VVIarCgCG/TKiNIYWFXDtlaquJVjleH8OLi7nMXVchGaTou+58iEMP6L1A8KMx74HZ4JsCtKyEGnSqbNoDZJMkNrTUtLPlQBW/XfIeq/fuZeKAMm6aMZMx/fqnPY4luyq4d8liKmprOG3YCK6fNoOy/CMb5vrW+u9wXPB5gt4QW+qG02/QLxhaOinh96sqL2/ZxAMrllEXCjF33Hg+NWVq3DUNjoZGtqD1v4PwWvAfj+Tf6Ix9PxxHCG34CzQ9BfiQvKsg93JEetZkL5M5Ns/AGGOMzTMw2WnrwQN879W/886OD/F7vXx8/AS+fcZZR1R7f83ePXz/tX+wfM9u8nx+5k+ewm2zTz88KSwUjfLzt9/k4dUraAiHmTJwEHecfR4nDIxX96j7tPk1tOZOiJaDpx/k34TkfcYmhRk0Uo7W3A6hdwE/BC9DCr/pzEbOMnZlYNLuQGMj5zzw+1bDNgNeLycMHMQTV12TUBsfVlcz5+H7W5VUzvX6OGvUsdx9iVN76MsLX2DRls2thsrm+f28cM21jCopTcrPos1voQduovXQ0CAU3Hx48RrTN2nsAFp5vjt35PBvOvgn4+n/aNrj6fbiNsakymNrVtEcjbYatBmKRllbuZdVe+OvD9DW75ctJhSNttrWFI3wavkWKmpr2F1Xy982b2o3Z6I5EuG+pck7mdC6X9B+jkAj1N/jrMFr+ixteNxZpa/1bzpE1qHh1ZkKq0OWDEzara3c2+4gDU4p5M0JzuxdU7k37rDPgNfHlgNVlB88SI63/V3QqCprKvceedAdiZTH364RiFUn7/uYnieyjviL23ggsjnd0XTJkoFJu0llA8n1tT9Qx1QTHrU0uWxQ3LkIoWiE0aX9GFVSQnO0fcLxiTCpbOCRB90R36j428UPnuLkfR/T8/gm0no48CExaDFSLFtYMjBp98lJJ5Dj/WgOATjPDCaVDUz44e5/TJvernpojtfHOceOZmhhEYMLCrlwzLh2SSfg83HDtJOP9kc4TAq+Qvs/+KDzEFlsfEZfJnlXOYUHW/+mg29iVs4PsWRg0q40GOSpq/+N00aMdCe1+blywiT+ePkVCbcxrKiYx6+cz4whQ/GIUBAI8JkTp/KLCy85vM9Pz7+I606cRmEggEeEaYOH8OgVVzOypCRpP4vknIqU3gXe0YAHPGVQ+DUk/4akfQ/TM4mnFOn/hDNpEK8zsTA4Dym9L9OhxWWjiYwxpg+weQa9iKpC88to/YNOcbPcOUjepxFPvLo18cVUeWb9Wh5ZvZJwLMa84ycyf/KUlC3Y0pHGcJgHVy7n+Q/Wk+8PcO2UqcwZe1yrsfmLd1Zw75L3qaitYfbwEdwwbQYDW6wgprEatP5+aP47ePoh+dchOWem9edIlu37l7F7z8/o5y+nKjySQYO+wsj+09Meh4aWODOhozshMBvJ/3fEm8RnLCZrpezKQESGAw8Ag3DGVt2rqgva7HMW8Cyw1d30lKr+oLN2+/KVQazmTmh8FLTR3ZIDvhFI/6cSXq7vywtf5O9bNtHojubJ9fk4YeAgHp73SbwdVApNtuZIhHmPP8zWgwcOjyrK8/m5atJkvu/WQHpm/Vq+/cqiw3H6PV4KAn5e/LfPMLigEI3Vovsvh+he4FAV0iAUfBFPwefT8nMky8bdr3JM5GYCnig+jxKJCaGYlwrvAsYPOT9tccQanoWa7/LRCBg/SAEy4FnEG7+Aoek5MjnPIAJ8VVUnArOAm0VkYpz9/qWqU92PThNBX6bR3dDwUItEANAM0R3Q+HxCbayr3MuiFokAnLUK1lTu5fVt5ckNuBMvfrCBbQcPthpe2hAJ8+jqleyoqSYcjXL766+0ijMci1Lb3Mxd770DgDY8DNFKPkoEAI1Q97/O2sk9SKzmB+T5Ivg8zomZz6Pk+SJI3Q/TFoNqGGr/i9ZDIcOgtWjd3WmLw2ROypKBqu5S1aXu57XAOmBoqr5frxda6gxXbEsb0ebXE2ri3YodcdckaAiHeevD7UcbYcJe31ZOQyTcbrvP42Hxzp1srz4Ydw5BRJU3tm9zvmh+nbg1/iUA4VVJjji1Rhfs7GD7LmJx+iElottxzt/aikDozfTEYDIqLfcFRGQUcBLwbpyXTxWRFSLyVxGJW05SRG4UkcUisriysjKFkWYxT0fj772Q4D3d/nl5ccfm53i9DDzCaqBHY3B+QQeL1wj984KU5AbjJgOAAXnu8xHvIFoP2XNppJO+yk71kfj1mOojATxpunWHp9Tpu7iv9az+NN2T8t80ESkA/gLcqqptr9+XAiNV9UTgLuCZeG2o6r2qOkNVZ5SVlaU24GwVONlZBL3dAdCP5CVWz+f80WPiHoQ9Inzi+Hh38FJj/glT2sUhQEHAz+xhI+ifl8epw0YQ8LR+qB30+bhxujNHQPI+C7R9TuIF3wjwjU9d8CmwruFCGiOtx3I0RnysqTsvbTGIpx8EZgFtE1MQyb8+bXGYzElpMhARP04ieEhVn2r7uqrWqDpr/qnqS4BfRAakMqaeSsSD9PuzO549CFIAUgjFP0V8YxNqI9fn56F5n2RoYRF5fj/5fj/9gkHuu/QTR7xOwNE4tqSUX110CUU5ORT4AwR9Po4tLeWhFg+xF1x0MTOOGUqO10dhIECuz8ctJ8/iwjHjAJDAVCj6Pki+0xfkgu94pPR3Pa5a6MxxP2J1zck0R73UhgM0R72srpnGyeN+nNY4pOTnEJgO5HzUpwVfRHIvSGscJjNSOZpIgPuBKlW9tYN9BgN7VFVFZCbwJM6VQodB9eXRROAOL41uBm0A3wQk3nOEBNpYv38f0ViMCQPK0jaKqK1wNMrafZXk+fyM7dcv7kG8oqaGvfV1jOs/gII45a1VmyG8HjzFSEelIXqIqrod7K1dR1nhBPoXDMtYHBqtcB7O+8YinoKu32B6hEzOMzgNuBZYJSLL3W3fAkYAqOpvgCuBL4hIBGgE5neWCAzsqqvlhY0HqAuFOHtUJVMHDzniM2ERYcKAzN9ue2b9Wp5ct4Z8v59bZp7KtCHHtNtnaFERQ4uKOmxDJAcCJ6YyzLTpVzCMfhlMAoeIdyh4baxHX2MzkHuQlz7YwG0vLySGEo5GyfX5uHjccfz3eRf1qFsjsViM8x/8E1sPHmi1/doTTuSOs9N3n9yYvsTWM+gl6kIhblu0kKZohJC7FkBjJMJfN32Q1jkCyfDbpe+3SwQAf161goqanjVHwJjewpJBD/HWh9vijgRqCId5dsPaDETUfY+v6Xhhjz8uX5LGSIwxh1gy6CG80vF/VWevZSNvJ7e0MvUw25i+zv7yeojZw0cQi/N8J8/nZ96EuHP1sta1U6Z2+Nr1J6W/OJsxxpJBjxH0+/nfOZcS9PkI+nwEPF5yfT6unnwCpw4bnunwjshnp06Lu4jNLTNnUZZvQxmNyQQbTdTDHGhs5G+bP6A+HObMkaMYm+Aykdno1a2beWTNKvL9Ab408xRGl/bcn8WYbGfrGSTR1lXb2LfzAOOmHUtJWWbWty0NBpk/eUqn++ypq2P9vkqGFxczurRfmiI7crOGjcDv9ZHn9zOqJHvjTJcdNdVsrqpidGk/hhfb+skmvSwZJOBgZTXfuvhHbF9Xgc/vJdwc5uNfmsP1P/50Vo3vj6nynVcW8fT6tQS8XsKxGFMGDeZ3cz9OYU5i6x2ki7Newd/xegRVpSCQwx8un5cVk+HSLRSNcuvCF3m1fAsBr5dQNMbHRo7kVxfNJcdnf6ImPeyZQQJ+ePUv2LJyG80NzdRXNxBqCvPc3X/j1UfeyHRordy/fCnPblhHczRKbShEUyTC8t27+OY/Xs50aK1s3L+Pb72yiMZImLpQiPpwmD31dVz79BOEo9FMh5d2P3v7DV4r33r4/605GuGf27bxkzf/lenQTB9iyaALVbsPsPbtjUTDrQ9STfXN/OWXL2Qoqvj+tGJZqwVhwDnrXLRlE43h9usHZMpjq1fFPeiHIlHeTOO6Ctni0dUraYq2/n9rjkZ4fG3PWpfB9GyWDLpQX92A1x9/feDaqvo0R9O52lCcxV4AEBrjLCaTKfsbG4jGGbigKNXNTXHe0bs1dJCoG8PhuIsRGZMKlgy6cMzYwQRy21cG9fm9zLo0u8bEnz58JJ44C74MKSigNDeYgYjiO3f0GPL87fs0EotxytDMF2pLt+lD4heFO2nIMVn1TMr0bpYMuuD1evnKvTeRkxfA43H+MAO5forLirjmm/MyHF1rXz/tDIpycwh4nSsZrwhBn487z70gqw4qF40Zx/EDygi2eDga9Pm5YdrJDC4ozGBkmXH7WeeQ7w/gd2df+z0e8vx+7jjznAxHZvoSm2eQoM0rynl6wYvs2rqX6edPYe5NF1DUL/sOXJUN9fx5xTLe31nB6NJ+/PvUaYzJwrkIoWiUp9ev5YWN68kPBPjU5BM5Y+SoTIeVMRW1Nfxx2RJWV+5lUtlAPjd1GsOKbHipSZ6u5hlYMjAmAeFIEzGNkuPv/opwoWgUVbXhoiYjbNKZMUehpnEvG8q/xAlFK/CKsrFuMN6SHzFm4GkJt1FZX883/vE3/rVtG4oyfchQfnzeBYwqKU1h5MYcGXtmYEwHYrEYOz+8mslFKwh4Y3g9yujCXZQ130hlzdaE2ojGYlz15CP8c1s5EY0RVWXxrgquePwR6kKhFP8ExiTOkoExHdhc+QbD8vaQ440d3uYR8HlifFDx64Ta+Of2cvY3NLYaShtTpTkS4fmN65MeszHdZcnAmA7U1G8gpu1HYeV6o+SyJaE2yg8eJBxrP8GuIRJmU9X+o47RmGSxZGBMB/oXnYRX2g+waIx4afackFAbEwaUxV2hLs/vj1vG25hMsWRgTAdGDZjBxtqxNEU+moEejUFTNMCE4V9IqI1Thg5jTGm/w3M/AHweD6W5QeaMPS7pMRvTXZYMjOnExLGPsqL2Iqqag9SH/ayonkK4+HFK8gYn9H4R4eF5n2T+pBMozsmlIBDgsuOO5+mrP2VDTE1WsXkGxhjTB3Q1z8CuDIwxxlgyMMYYY8nAGGMMlgyMMcZgycAYYwyWDIwxxmDJwBhjDJYMjDHGYOsZ9DpNkTAvbNzAst07GVVcyhUTJ9EvmJfpsIwxWS5lyUBEhgMPAIMABe5V1QVt9hFgAXAx0ABcp6pLUxVTb1fV2MDHH3uIqsZGGsJhcn0+7nr/HR674momlA3MdHjGmCyWyttEEeCrqjoRmAXcLCIT2+wzBxjnftwI3JPCeHq9n7/9Frvr6mgIhwFoikSoC4W4bdHCDEdmjMl2KUsGqrrr0Fm+qtYC64ChbXa7HHhAHe8AJSIyJFUx9XYLN28kEou1276paj/VTU0ZiMgY01Ok5QGyiIwCTgLebfPSUODDFl/voH3CQERuFJHFIrK4srIyVWH2eAGPN+52BbxxauobY8whKT9CiEgB8BfgVlWt6U4bqnqvqs5Q1RllZWXJDbAXuWrSZHK8rROCV4SZQ4dREAhkKCpjTE+Q0mQgIn6cRPCQqj4VZ5cKYHiLr4e520w3fHHGKUwfMpSgz0+uz0e+P8DQwiJ+dv6cTIdmjMlyqRxNJMDvgXWq+vMOdnsOuEVEHgVOAapVdVeqYurtcnw+Hpx3FSv27GZt5V6GFRYxe/gIu0VkjOlSKucZnAZcC6wSkeXutm8BIwBU9TfASzjDSjfhDC39XArj6TNOHDSYEwclthKXMcZACpOBqr4BSBf7KHBzqmIwxhiTGLt/YIwxxpKBMcYYSwbGGGOwZGCMMQYQ5xluzyEilcC2DIYwANiXwe9/JHpKrBZncvWUOKHnxNob4hypqh3O2u1xySDTRGSxqs7IdByJ6CmxWpzJ1VPihJ4Ta1+I024TGWOMsWRgjDHGkkF33JvpAI5AT4nV4kyunhIn9JxYe32c9szAGGOMXRkYY4yxZGCMMQZLBp0SEa+ILBORF+K8dp2IVIrIcvfj+gzFWC4iq9wYFsd5XUTkVyKySURWisi0TMTpxtJVrGeJSHWLPv1ehuIsEZEnRWS9iKwTkVPbvJ4VfZpAnNnSn+NbxLBcRGpE5NY2+2S8TxOMM1v69P+JyBoRWS0ij4hIbpvXc0TkMbc/33VXm+xUKktY9wZfxlm7uaiD1x9T1VvSGE9HzlbVjiaazAHGuR+nAPe4/2ZKZ7EC/EtV56YtmvgWAAtV9UoRCQB5bV7Plj7tKk7Igv5U1Q3AVHBOsHAWsHq6zW4Z79ME44QM96mIDAX+E5ioqo0i8jgwH/hTi93+AzigqmNFZD7wE+Dqztq1K4MOiMgw4BLgvkzHcpQuBx5QxztAiYgMyXRQ2UpEioGP4SzMhKqGVPVgm90y3qcJxpmNzgU2q2rbKgIZ79M2OoozW/iAoIj4cE4CdrZ5/XLgfvfzJ4Fz3QXHOmTJoGO/BL4OxDrZ5wr3kvZJERneyX6ppMDLIrJERG6M8/pQ4MMWX+9wt2VCV7ECnCoiK0TkryIyKZ3BuY4FKoE/urcI7xOR/Db7ZEOfJhInZL4/25oPPBJnezb0aUsdxQkZ7lNVrQB+CmwHduGsEPlym90O96eqRoBqoH9n7VoyiENE5gJ7VXVJJ7s9D4xS1SnAIj7Kwul2uqpOw7nMvllEPpahOBLRVaxLceqnnAjcBTyT7gBxzrimAfeo6klAPfCNDMTRlUTizIb+PMy9lXUZ8EQm4+hKF3FmvE9FpBTnzP9Y4BggX0Q+fbTtWjKI7zTgMhEpBx4FzhGRB1vuoKr7VbXZ/fI+YHp6QzwcR4X7716c+5sz2+xSAbS8ahnmbku7rmJV1RpVrXM/fwnwi8iANIe5A9ihqu+6Xz+Jc9BtKRv6tMs4s6Q/W5oDLFXVPXFey4Y+PaTDOLOkT88DtqpqpaqGgaeA2W32Odyf7q2kYmB/Z41aMohDVb+pqsNUdRTO5eIrqtoq87a5n3kZzoPmtBKRfBEpPPQ5cAGwus1uzwGfcUdrzMK5pNyV5lATilVEBh+6rykiM3F+Pzv9BU42Vd0NfCgi491N5wJr2+yW8T5NJM5s6M82rqHjWy8Z79MWOowzS/p0OzBLRPLcWM6l/fHnOeCz7udX4hzDOp1hbKOJjoCI/ABYrKrPAf8pIpcBEaAKuC4DIQ0CnnZ/N33Aw6q6UERuAlDV3wAvARcDm4AG4HMZiDPRWK8EviAiEaARmN/VL3CKfAl4yL1dsAX4XJb2aVdxZkt/HjoBOB/4fIttWdenCcSZ8T5V1XdF5EmcW1YRYBlwb5vj0++BP4vIJpzj0/yu2rVyFMYYY+w2kTHGGEsGxhhjsGRgjDEGSwbGGGOwZGCMMQZLBqaXEZFvu9UcV7pVJZNa7EycqpXxqtjG3Z7E71siIl9M1/czfY/NMzC9hjglnOcC01S12Z0ZGshwWMlSAnwRuDvTgZjeya4MTG8yBNh3qEyIqu5T1Z0AIjJdRF53i+T97dAMchF5TUQWuFcRq91ZpYjITBF52y0C91aLmb5HREQucNtZKiJPiEiBu71cRO5wt68SkePd7WUissi9urlPRLa5Se3HwBg3zv9xmy+Qj9YzeOjQzFhjusOSgelNXgaGi8hGEblbRM4EEBE/TlGxK1V1OvAH4P+3eF+eqk7FOfP+g7ttPXCGWwTue8CPjjQY9yD+HeA8t0DfYuArLXbZ526/B7jN3fZ9nNIBk3DqDY1wt38Dp6TyVFX9mrvtJOBWYCIwGqemljHdYreJTK+hqnUiMh04AzgbeExEvoFzEJ4MLHJPnr04pX8PecR9/z9FpEhESoBC4H4RGYdTetvfjZBm4Ryo33S/bwB4u8XrT7n/LgHmuZ+fDnzCjWehiBzopP33VHUHgIgsB0YBb3QjTmMsGZjeRVWjwGvAayKyCqdY1xJgjaqe2tHb4nz9X8CrqvoJcZYMfK0b4QiwSFWv6eD1Q1Vvo3Tvb7G5xefdbcMYwG4TmV5EnDVsx7XYNBXYBmwAytwHzIiIX1ovSnK1u/10nGqZ1Tglfw+VUL6umyG9A5wmImPd9vNF5Lgu3vMm8El3/wuAUnd7Lc7VijEpYcnA9CYFOLd21orISpxbNLeragin2uRPRGQFsJzW9d+bRGQZ8BuctWMB/hu4092e6Bn3uSKy49AHMBYnkTzixvM2cHwXbdwBXCAiq4GrgN1Ararux7ndtLrFA2Rjksaqlpo+TUReA25T1cWZjgVARHKAqKpG3CuZe9yH28aklN1jNCa7jAAeFxEPEAJuyHA8po+wKwNjjDH2zMAYY4wlA2OMMVgyMMYYgyUDY4wxWDIwxhgD/B+L3DPfdd3V0wAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["plt.scatter(X['Sepal Length'],X['Sepal Width'],c=Y.values.ravel()) #Colored by species\n","\n","plt.title('The Sepal Features')\n","plt.xlabel('Sepal Length')\n","plt.ylabel('Sepal Width')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"dN5HeJOmlW1R"},"source":["We can see that the negative linear correlation is in fact not an apt representation of the data. It is better to understand it in terms of clusters.\n","

\n","It is noticeable that\n","
    \n","
  • There is a clear clustering behavior for setosa (light blue)
  • \n","
  • Versicolor and virginica is not clearly separated (brown/orange)
  • \n","
\n","This kind of information is valuable in assessing what kind of model to choose, and what kind of additional analysis that needs to take before we are sure of what to do with our dataset. It is possible, however, to further embellish our visual analysis by using a 3d plot and adding in another feature."]},{"cell_type":"markdown","metadata":{"id":"M-5dWOF-lW1R"},"source":["#### 3D Scatter Plot"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"OC2Dx4h0lW1R","scrolled":true,"outputId":"c580de70-8b65-4b68-a09d-fef1035080e2","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1646679813513,"user_tz":300,"elapsed":824,"user":{"displayName":"Kelly 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dWvai0dRFEeFDRcD8iEhVVUpKSlJtOENDw+zb98+LMtKRMYTExP09fURiUSAOBknE3I+04GzVeH19fWxYsWKRM640GvsLAqkuwiRTtBg5+rSRah+v5/W1lZ0XaehoYGqqqoZLw5FURyPdF/NF2M2LWPZQFGUFDK2YVlWIjK2hR/hcBgAn883LTLO9QaaiYy7u7tZsWJFQfgxTyiQ7iLCTIIGiEdMyfnA0dFRWltbAVi/fv00kUAmOEm6o6OjNDc3E4lE0DQtoQBL7ndd6pgv0s2E5O6IZNhkHAqFCAQCDA4OEgqFCIVCvPjii9Oc2/KJjNO9dy7CjwIZz44C6S4CzEXQAOdFDYODg7S1teF2u2eU6maCE6Q7MjJCMBikvb2dTZs24fF4EoUkmxCSlWBTyXgpdU4sllRMMhnX1NQA8Xzx8ePHaWxsTETGQ0NDhEIhpJSJyNg2C/L5fDl5GsPchB/pyNgwDNxuNx6Pp0DGFEj3giIbQYOUkuHhYUZGRnC73Wzbtm1aJDRX5GpWY+9Da2srHo8Hn8/Hzp07gXhbWibxga7rBAIBgsEg/f39KYY1yWTsNLk5eWEvVpKwLCsh4igqKkqQMcT/XpFIJEHGUw3mp0bG80XG7e3tLFu2jIqKimnCj+TWtoulo6JAuhcA2QgaLMuit7eXjo4OysrKKC4uZvv27XltP9tIV0rJ0NAQra2t+Hw+mpqaKCkp4ciRIymN/pngcrlYtmxZSvrD7jO2ybi3t5dwOMzRo0enmZznOnHCKSx0eiEbWJaV8fwLIfD5fPh8PqqrqxM/n4mMPR4P0WiU3t7evM+9fc4sy0pIs+3tw8Ur/CiQ7gIhW0GDaZp0d3fT2dlJTU0Ne/bsQdM0jh07lve+zJV0pZQMDg7S2tpKSUkJO3bsoKioKPH7fOwdbfewZCvHiYkJ9u7dSywWS5Bxd3c3wWDQ8egsGzhNuk5G9DORbibMRMbhcJgXXngBXdcdm/ZhGEbK3ykb4Ufye14two8C6c4zshU0GIZBZ2cnPT091NXVsX///kT+014rX8xGulJK+vv7aWtro6ysLKMRzny0nglx3uR86sSJqdFZMBhMyVsmE8LFglxINxOEELhcLjweD2vXrk38PHn0UigUSpn24fF4pvUaTyVj0zTnRNCZyNjeBzsdF41GOXPmDFu2bAFShR92UJNtnWMhUSDdeUIy2Z45c4aamhqWLVuWkWxjsRgdHR0MDAywatUqDh48OC2Kc+qOnol0pZT09fXR1tZGRUUFl156KV6vN+M6CymymC06m1pECgaDnDx5MkEEdhEpl3PoZKTrdNTsJOlmWk+IuY1eSjfto7i4mGg0mvfNOTlQsVvZpqrwAB555BFOnDjB3Xffndf25hMF0nUY6Xps4fzIl6mIRCK0t7czMjKSItWdT0xNCyTnjSsrK9m9e/eMZJtpnQsBIUTaItLRo0dpaGhIEEJ/f3+K8MAm4kz+CMm4mEjXNM05p2ySn0pmmvYRiUQ4ffo0pmk6Mu3DMIxE5Dz1qXF8fHxaIXexoUC6DiGToAHixilT9fahUIi2tjb8fj/19fUJw5KFQHKBo6enh46ODqqrq9mzZ09WFo/zQbpOkZIQImOvqx0J+/3+af4Iyd0Uudo4zoSlQLr5rmfn622D+Z6eHvbs2QNMn/YRCARSRi8lpyoy9Xgnk+5UjI+PU1FRkdf+zzcKpJsnZhM0QKqoIRAI0NraSjgcpqGhgaampgUvBFiWRSwW46mnnqK2tpZ9+/blJGJYDJFutsikAks2qxkdHaWrqyvhqWvfSKWU0wzOs4VlWYuadO0WtPnCTNM+bDKebdqH/fN0GB8fZ926dfO2/06gQLo5Yq6CBoiTbiAQ4Pjx4xiGwfr166msrFxwsjVNk66uLrq6upBSphTpcoHTcuJkI5aFRiazGsMweOmll1BVleHhYc6dO5fIJ+aivptLi102uJDpBSfhcrmoqKiYFqXa0z4CgUBi2oct/DBNc9r5L0S6r0JkK2gYHR2lo6MDgO3btzvygciWmEzTpLOzk66uLlasWMGBAwc4evRo3qqwpRjpZgtN03C5XNTU1KRUxO1pE9mq7xZ7esHp9fL9fKQT3PT29hKNRlm2bFli2kdHRwe33HILsViMzs5OTp8+zfbt27nyyitz3vaZM2d497vfnfh/a2srf//3f89HP/rRvI6pQLpzRDaChmQxgdfrZfXq1RiG4Qjh2qmKubTg2O1n3d3diY6IufZWzgUXA+lmQqZpE7Op71wuV+Km7cTfYrFHuk5H9kBCVjz1/B89epTrrruO6667jmAwyNGjR/Mi3c2bN/P8888D8fOyatUqrrnmmrz3v0C6MyBbQUNyf2tpaWlCTDA0NMTw8LAj+zSXR3rDMOjo6KC3t5fVq1dz6NCheXlkdJp0FyuJZxOdzqa+Gx0dJRKJcOLEibSig2wVYIuxkJaMqcIIp9bMVPANBAK8/vWvp7a21tFtHj58mMbGRkfyxQXSTQO790/X9QQJzCbV7enp4dy5c1RWVk7rb53qDpYPZiJdXdfp6Oigv79/Xsk2eV8WI0k6jXxTAsnqO3vA5bZt2xJ9rvmo7yzLcvTpxelC2lyfypxac75yut///vd573vf68haBdJNgp2cN02Tc+fOAbBmzZoZpbp2Yaq2tpa9e/emLabYFXAnkI7AY7EY7e3tDA4OZtXr6wSZWJaF3++nu7s7pd0nlwttMUe6TiG5e8EJ9Z0tRHAKTpPkfBTmZkrN2L3ATiIWi/Hggw9yzz33OLJegXRJ32Orquo0A2cbhmFw7tw5enp6WLlyJQcOHJjxg5rJfDwXJEe6yTPQ1q1bl5Wwwl4nnwsiFovxyiuv4HK5WL58ObFYLEWVlBytlZSU5OXxeqHhpDhitnOQjfpudHQURVEYHBx0RH03H5HuQpHufN2wf/7zn7N7926WL1/uyHoXNenOJGhwuVyEQqGU1ydLdbN5fHcyvaCqKuFwmK6uLkZHR6lPMwNtLsgnNeD3+2lpacHv97Nu3TrWrVs37QZl6/XtR+fh4eHE+fT5fIkKf0lJSUIRtpgj3cWgSEunvmtpaaG8vByfz5d20kS26junSXK+crozka7TLYf/8R//4VhqAS5S0p1Lj21ySiASidDW1sbo6GhOUl1N0xxJL0QiEcbGxhgZGWHDhg1s2bIlrws42+h7YmKC5uZmTNOksbExEV3Z601d39brJ0dryaNo7Llg4XAYRVGIRCJ0d3dTVlZGSUnJopk6caFdweaynlPqu6Uc6UYiEcfNjoLBII8++ijf+MY3HFvzoiLddGSbibQ0TSMajXLy5EkmJiZoaGjImeTyjXSTJcM+n4/Vq1fnXZ3NRtgwlWztyvzw8HDWhJRMEMnHYE9AmCpCSNbq2yThdGFmLlgMkW6m9TKRWi7qO/uJxRYe5KO+s7fl9N8rU4pmbGzMcXex4uJixzqPbFwUpJuNoAHOk8zY2BiXXHIJ27Zty7vglAtCoRAtLS0Eg0HWr19PU1MTLS0tjkRecyHdiYkJWlpa0HWdDRs2TJNuOukyZvukLl++PCXCnWp0nmwpmJyimM988WJJL6RDJiOlmTCT+u7FF1/E5XI5or6z92+hFG5LQY0Gr3LSzUbQAPE7ZWtrK5ZlsWbNGqSUKc5VC4Vkf4b169dTXV2d2G+n8sMzkW4gEKC5uRld12lsbExxkEpGcg7WCTJJl9PN1Pc6W75Y13XC4fCsOcy5wEmiXMzeC/a0hrq6upSWx1zVd/Z703kxzweWgsMYvApJNxdBw8jICK2trWiaRmNjI+Xl5RiGQXt7+wLueTyybG1tJRqNJshu6n475XeQrpA2V7K1caEKX3PJF1uWRXNzcyJfnJyesJVhF8LjwWmFltPrpYtMc1XfFRcXEwqFHCXdmT77Y2NjhUh3IZHthAZ7FE1bWxs+n4+tW7em5L6c7DiYDXY3gGEYs5KdU6SbnBoIBAK0tLQkyD65Z3S2NZJJ14m+33xIPDlf3NHRwY4dO4A4kdiV/eTH5uRIbaZ88WJOL1xI74W5zL6bmJhgYmKCjo4OR2bfXQhhhNNY8qSbLGh4/vnnueSSS2Yl2+RBj1PnftmYjyho6gU3Pj5OS0sLlmWlFKhmgqqq0+ZH5QJFURIj1LMl2+Q17GNarO1eED9nZWVl04osyeTQ19dHIBBImy92MiWwmNML09aTEyjWK4AbS9kCYnbRQbL6rrKykkAgwOrVqykpKXFk9t1Mwgi/318g3flEuh7baDSaURZpWRbd3d2cO3eOqqqqWUfROI1ko5qxsTFaWloQQiTSGXOFE5GuHfGNjo6yZcuWnG0mnSyk2estJHHPlC+2c5gjIyNMTExw/PjxaT2vuQgQFru1I0w+IVrdeKKfBhlAIDGVTcQ8nwExd5N7OJ+uyEZ9Z08mTjf7bjYD8xUrVuR17AuBJUe6swkaphocG4ZBV1cX3d3dLF++PGfD7nyR3AqlaRobN27Mqb0ln7RHMBikpaWFcDhMaWkpK1euzDq6TYbTpLsYkJwvts/Nc889x44dOxJTD6b2F09taZupzWqxpxdsuGLfAhkAURZvS7NeQjUew3T9YVbrzNa9kI36LhQKJTqQ2trapqnvCumFeYJpmui6nlbQkCxC0HWdc+fO0dvby6pVq2aV6qaDTSr5fKjtQp3f76erq4stW7ZMa9XJBrlEunbrWSgUSqQRWlpact4HGxeTy9hM/cW2yfbIyMis+WKnxQfzZfouZB8wGdUKAVIg5EDW6+RqYZlOfQcwMDDAyMgIxcXFCfVdKBTib/7mbxKpN8Mw2L59Ow0NDVlvNxljY2PcdNNNnDx5EiEE3/nOdzh06FBeawohPEuOdO159+lgS3d7e3sZHBxkzZo1eTlt2SSeS2QspWR4eJiWlhZ8Ph/l5eVs2rQpL8KF7Eg3mWyntp45EaUWXMYy97za42cCgUBKvth+bE4mcSdmkjkNS92OahwG6QbinxOpbMl+nXmwniwqKpomDnrsscf44Ac/yIYNGzh69CgPPfRQ3iqyj3zkI7z5zW/mv/7rv4jFYtNsAbKBEMIDXAnsW3KkmwnhcJixsTEGBwdpbGxkw4YNef+xcyFduyuitbWV4uJitm/fTnFxMadOnXKkG2Iu6YVQKERrayuBQIDGxsYUsrXhRG54qed05xPpxs9IKWltbU3kje38ZbJ7WD754nyRfO5114cQ1jCq9TygoGvvwlQP5rSm02KQdJGz1+slEolw3XXXUVdXl/d2xsfHeeKJJ7j//vuB87PdsoUQQpFSWsClwD3AQ0uedIPBIK2trQSDQYqLi6mqqmLVqlWOrJ1N/lRKycDAAK2trZSWlnLJJZekdEUshKhhKtnOpKRzinTtVr3BwcFE1Oe0td6FhpMTiu0INzlSs/OXgUAgERlHIhGEEFnli/NFSlQqfMS8t4MMA1rmzgU5+RkSC+MeZxhGRn8FJ3O6bW1t1NTU8MEPfpATJ06wZ88evvjFL07zt5gNk4QL8VzNE1LKTy050rU/cH6/n9bWVmKxGOvXr6eqqoru7m7HfGthbkY1ydMiysvL2bVrV9pmcKdIN9064XCYlpYWAoEA69evn5Ns2al+X7/fz5EjRygvL0dKSXt7e+LpwNb9z1Wmu5gj3fm0dkzOXyZjLvliJ0f/pC16iQzCBmng0r+NZjyKRMHQrsFwvSee/51HzHSsuq5nnCiRy3aee+45vvzlL3PgwAE+8pGPcO+993LnnXdmtY4QYgfwGmA5sFoIcc2SI13DMHj22WcBWL9+fUq7j21S4xRmMh+3+33b29tZtmzZrC1oThmZJ5NlOBymtbUVv98/a2Sbbh1d13PaB/tGY3vp7t27N5FqsInT7skMBAIpMt3ktquSkpKEu9XFgmyi5rnki3Vd54UXXkiMsEmOirPNF2fjk6AZP0YzHkFSBkhcxg+RYjmm6405HetcsVBeuqtXr2b16tUcOHAAgHe+853ce++9uSxVTpx0uwEd+OSSI12Xy8XmzZunOSfZv8uVSNJB07RpUaVlWQlxRWVlJXv27JnT3dUpI3NVVdF1nVOnTiXItqmpKesPdy5RpZ2vtj1cN27ciN/vx+12p5z3TD2ZttVgIBBgfHyc7u5uotEomqZRXFxMOBxmYmICr9d7QZzEFgJOiCPsfHF5eTm9vb3s3r172uif5H7XufYXZ1P0Us1nkXhAxElaShXVOo7JedJd6KkR4NwTSV1dHWvWrOHMmTNs3ryZw4cP09TUlMtSzwAngO1ACOhdkp/s0tLStIThlG9tuvWSxRU1NTUZR/NkghORbiQSSVVOzxwAACAASURBVEkj5EK2NrJJL9idGM3NzZSUlCRSKCMjI1ndSDJZDdqR28TEBENDQ/T09CQmT9ivt5vjl3pUnJc4QkoU6wWEHMVS1mGxLqUbJZP4YGq+2O4vTvbULSkpycpwXIoqFM4iiadEBCaWSDWHWmgvXadSCza+/OUvc9111yVSmN/97nezXkNKGQEiQoiDwCkp5YklSbqZMB+kG41GOXfuHJ2dndTW1uYsrsgn9RGJRGhtbWV8fJyGhgbGxsbyHh0yV9IdGRmhubkZr9fLjh07UgoJTuVg7citpKSElStXUlZWllAq2WRh92Mmk4X9ldXfQ1qoxmEU6xRSLMdw/RGI/Nr4skHOj9xS4tL/BdV4AhAgIKLcjKLMLB2fS77Y9tQNhUKYpsmZM2dSUhTpCqO663oU6xRCjgNgieUYrrenvGYhp0bMh8PYrl27eOaZZ/JaQwixFdgLfAB4QggRfFWRrpPpBdM0GRkZYXBwkHXr1rF///68qvK5FNLsiRVjY2M0NDSwdetWhBC0trbmvB82ZiPdsbExmpub0TSNpqamtOmc+Sx8JSuVkpvjk8lieHiYjo4OdF1POFvZX5n2S9O/h2b8PF6Nlzqq9RxRz11Zy1tzRa7pBSGbUY3fAhXxTgEZw2N8C0X5WE77kS5fPDw8zMjICDU1NdOcw5LNauKF0Vqk94uo5guAiqnuAjGd2J0m3UxPCotYjaYAq4AKYCfQuCRJN9PF7kSkaxgGnZ2d9PT0UFZWxooVK2hsbMxrTciOdKeSbT5jeTIhE+n6/X6am5sB2LRp04xSZafFEXMh8UzFpeTCXWdnJ6FQiKNHj6YW7ordLOMXSLEsnosUIKxuFOsMlnqJY8cxE3JNLwjpB5Sk1iwXYOLSnKth2L4l6fqLk/PF9vmVUuL1VkxGxQFKSkjJF8/H1IhM8Pv9i9JLV0p5CjglhHiWeMtYdEmSbibkQwLJE35t2XAgEKC7u9uRfZsL6UajUVpbWxkdHZ03srUx9VzZXrqGYbBhw4Y5RQ2LyXsh2dkK4v3be/fuTYylifsljLJtRQjd1FBVDU1TcakmhhFFWZjhBjmnFyylPn6jkEGgCBjFYBWS7PpGZ0KmyHS2fLHdSWEPxLRTGvbnIxqNzmt/McSfzBYj6QohhIxfaKXAh4UQY0uSdJ3849keDX19fdMm/DqZI56JdKPRKG1tbYyMjMw72dqwL4hQKERzczORSIQNGzbMalw+dQ2nI10nkSwusMUIrtgfUKT/BsMSSCtAOFbKqZYQuv4kLnfpvI8Ayrl7QVQRc38KV+yLCDmCpWxiwrgZIQKO7Vu26YBM/gh2CsjuTnn55ZdTulSSOymySdnN9FlbxOkFG38LNACtS5J0nUDyOHXbo2GmicD5Ih3pJpNtfX09mzdvXrDqvK7rjIyMEAgE2LBhA1VVVXm1nTkpHphP6K4/Q4paFOskkhq8QuPA5u8Akqg8wGDoWgKBSEpvcTgcpqOjI6Vwl+vxZp1ekCEU60VAYCk7ifq+DlKCEJgTEyhK7n4AU5HJFjVbJKeASkpKWL16NZA69mdgYIBAIJAipEm+2aUj/5naxRbr1Ah5/gPdDrxNSjm8JEl3pg+8oigz3rFjsRjt7e2JAtlM49TT9enmimTSjcVitLW1MTw8nBPZ5uN+ZndCjI6O4na7OXDgQM4EsiRdxoQLw/Uu4F2o+mO49P+LFFWAwCOOsLx8NdXV56vwlmVx9OhRPB4Po6OjdHZ2pqjCklva5hIlZpNeENYQnshfJDoEpLKciPdfEt0W82Em42TblWmaKZ0l6cb+2Plim4y7uroS5ub2vDubjO010sHv97NhwwbH9t1JCCEU4gKJImBpku5MsFMCUy+A5Khy3bp1czLEcTq9oOs6Z86cSZDtxo0bc7po7CJYNu9NJvr169dTX1/Pyy+/nFeEuhRdxoTVg2o+Ff/ePIMUyQ3+PlTrNCbnSVdRlMSwxgSkiYw9jh55jkC4mp6eTQQCqcbbNhlPFSJkk15wxb6GkEMg3JM9ul24Yveje/4ysdZiNkSfS7oiOV+cnNpKly+2FXinT59OIWO3273Y0wsK8G3gdiHE7151pGu3jdl3bLsTYHR0NOuo0qlHZpvwAoEA69aty5lsbSRPoZgNuq7T3t7OwMAADQ0NbNq0KTFlI1/CnBqZXugZabOub3Xijv4Dgkj8/3IcKV1ItXzy/1FMMUv/szmGL/JuBMOgCcpLy1leeS26+y+mEUV/f/+0wZixWCz+xCN1hGwHNKRYl2oYIyWK9Tyq9SK2rSKT50aRnYmXXQiSXKj10uWLR0dHGRwcZMWKFQSDwUR/8a233kowGKStrY2Ojg527tzJZZddlvN+19fXU1paiqqqaJqWd6+ulNIA7hJC3Ai8dkmS7kwXth2dhsNh2traEoKChShOTUVyKqO+vp7i4mJHHNDmImwwDIOOjg76+vpYu3bttDSKE50Hi6l7YS5QjUcQ6EiR7MUaQshhkCCVWgzXH8+4hif6YQRDgAAkgjE0/UF0158gRFXGwlKyV0LzK0fZsuKrlHi7UBQDw6piVPwLRcXrUITAHbsLzTgMxIAo8fuQB1AwlV2Jdecj0l0spJtpPU3TprUMPvnkk7z//e/n2muvJRQKcfjw4bxIF+DXv/51yiSLfCGE8AFPA48vSdKdCVLKxBjx9evXJwQFC4lMeeOOjg5H1p+pE8I0zUTrm92Nke7CdNLaUUrJ0NAQsViMsrKynL1g5zXSlRLF6otbFYoY4EbiwVIvwdTeDFhYSmNmV61JqLKVOOHa59QCIggZRaY5ZMV8Grf+CF5PEeUl76K728PuzY/iMtsBEwG4lAEqzJs48uw/UFbUyo41v8QSFkIo8S8CgMDQ/heG608Sa89HpOvkek65n81lvWAwyBve8AbHbF2dhBBiJfCXwCbAtSRJN90FbfvqDg8Ps2LFisRjtBOY62Nz8qP8bEW6fJCOMC3LorOzk66uLlauXMnBgwdnjDKcIt1YLMbRo0fx+Xy43W4GBwcTj9TJhaaSkpILZ2IjJS79m6jm7xGMgXkOS6wHoWCqV2CpczcykXgQxACZ+ImkFMV8CWE8ilTWYKqvB6Gi6r/GHbsHiNcFNPPXeF23olovYxMuxN0Q3VqAfXtqEcY4iq6B1JESLOlCYHGs5dO4fWsoKelPmVL8ak0vpMNsQynnMk17LhBC8KY3vQkhBLfccgt/9md/lus6toH5QeAq4M2AWJKkm4xAIEBLSwuRSITGxkbKyspQFMUxwp1L/jSZbNM9yifDCbu75EjXsix6enro6Oigrq5uzrPg8o0qx8fHeeWVV4hGo1x66aV4PB4Mw0gcd3J7UH9/Py0tLdNMbKYWmuZNCGK9hKb/HMkyJF4EIwjZRdR1N5a2O6u1dO1m3MaXiBOpBLyYYg9u/SuTrxAY6vPo7r/GZfx/8dfY0bMMsbz8aSxlHYp5mvPEzeT3LqS2FaHLuFpOKICFFKvYuu31BKacz0gkgqZpxGKxlPOZKxEvdhKfycA8Go2m9bHOBU8++SSrVq1iYGCAq666ii1btvC6170ul6XsP/Ao8KCUcgiW4GBKGxMTE7S0tCTSCPYYcV3XCYfDjm3HzhGnIzJd1+no6KC/v39WsoXzRJcvudhtcT09PbS3t1NTU5O1N0Su+xAIBDh79iyWZbFp0yZOnTqVMNNORqb2oGQTG7vQpKoqxcXFRCIRVFWlvLzc0ahYWK3AEAomILCoQQiJpe2Z4T3dqOZzSKGhKecvZsPzPix1Lar5W6AUQ30T3tgnkZSDMBCWH814BEO7mjgxJ59niRAWMffHUMNPAv7JzLCCKXYjxWoQgqj703hidwEGUtQR8f4zmjJ9/M+5c+eAuEdxIBBIPGUAKR0Uc504sVQjXadTUnaKora2lmuuuYajR4/mSrrxP2/cU/cdQoga4LdLknTtWVNr166dpqCaT3tHG8lkm0lYkQ52hJrvdOFQKMTp06epra3N2mIyV4TDYZqbmwmFQmzcuDEr5ZqNTCY2dlTc3t7O2NgYQ0NDs0bFSIlqPoliPY+kCsP11oxuYZr5KwQ68RhDoNCLlOW4Y3dhKpdjalemTDwQ1lk8kb9DEEEi2L7GDfISEPFjtrTLsbTLJ197DokCxFCsNuLXmIUnchuG9g5c1vdARid/7mHQv5sapZyw72Fc+r+gWO1Yyk509wcS+2C6riSkvQEIA8Wp0xhkGMU6BWhIWYrXW0J1dXVK0SfTxAnbFChZEZZMiou9BW0hvHTtHuHS0lKCwSC//OUvuf3223NaK2lUT5C4r64K3LgkSVdRFHbt2pX2DudyueaNdJM7ArIhWxs26ebiVpZsIA7Q0NDAmjVrsl4nW8RiMVpaWhgbG6OxsZGamhrH0wB2VFxWVkZJSQk1NTUzRsUlJSWsXPYbqop+hiJUhIgTcNT7+emFMCkRVhcWa1DoIl74MpG4EVYXLvM7gI7pujrxFlfse/HXiEok4NZ6UfVfYLjfN23fpViBFHUo1vMk2rtwIwgiZJiY6yY04zEQpejuDxKMxtvVUHzonr/NfFKECqQ6uwlrEE/kwwjGQUrWli1n2PiHaW+dzRQoGAzS3d09TYQQi8WIRCIXZCjmXDDTE6dTc/n6+/u55pprEtt73/vex5vf/Oac1xNCqFLKR4FHhRArpJRL08R8Jmia5uj0CFVVE8STK9kmr5XtDSF5lHtxcTG7du2ir6/Pccu8qTAMg7a2tkS720K33M0cFQdYJh4mGnNjZzVcWgeDI78A9+Wp1o5CIEU1inyZeMeBSTzqdIMoRqKimb9MId14t8D5S0MiEExk2FEXUe//iy90PfHUnRfJMiCMaj2GZk4AYaQsQzGeRpD9GHMbrthXJ8USXkDiVTspEw8Ct87p/VNNgSDV5NyyLFpaWqYVQu3I+EIPHJ3JS3cmN7xssH79ek6cOOHIWpNmN6YQYg/wJuBdQoj/s2RJdz7tHW0YhoHf76evr4+GhoZZOwJmQ7ay4tHRUc6ePYvX602McgfnhlymQ3LL2Zo1azh48OC8dGBMg4xR4j6JVxEI6wBSqUn7Mk3TKC8rwxVW0NQACoPESVSj2IrQNz5Bb28voVCIZ599Nh4VV+6l1nd8UoCgEM+iDmLKVcSj09TLwFQvw2X9G1IKhIwikJjqgcz7LirRXe/HZXwPpGdyzfDke3UggiCA2/gu29c0gjyUUMFlg7gwYvJ9Ip4udCm9Wa+TsutJIoSOjg527NgBnE/5BINBBgcHaWtrmzaHbSZToPlo/ctkir6I1Wj2Xf6jwOPACOBesqSbCU4YmSfbPBYVFdHY2OjIo/xcyXJ8fJyzZ8+iqmpaA3G7kOYkkscRzaXlLGfIEIp1BlCxlK2TZuIR3NG7WF58BkVR0aI/Iur5FFKJa+mjhsELgwNETYONy6pYXlyMoWzAZR5OWtig0vvfFFW9F4Bjx46xc+dOAoEAZrScqF6JaSlICT73MIoSw9AHUFWB6boKd/R2hAxhqpdjqG9DmK/gMh9CAoriBZka6SrG07iMHwMSQ3vrZP9sBM34BfGR5ZUIqwcSEbIATEp95zBkG1Jk7xNgKjvQrA4m1RJIBDpNzEdGfyafhEwDR5OjYk3THL9ZSykzku5itHXkfPdCA3ATcDnQt2RJN9Ojbj79p8lkawsLent758X0Jh0mJiY4e/YsUsoZDcTzmeQ7FVJK+vr6aGtry6kLIhsIaxBP9GOTBi4SS1lH1PNZVPMpFKsFQ1agSBWVKK7Y/cS8dxExDO498jvax8cQQuBWVP73gUM0+YqJE5n9pUzmbM/DNuQW1iHckf8kHiV6kBJiRjFj4UsZD1axouw/kagoihuX9gC6GMGrPYcl1iJxo5vjFMe+SFjdAaICxXwOT+yzSOLnyR37J6JuDcN9I4b7RgBcsW+gWf/F+QI2xItfAiFNcokDdfctKLITxTyBAEZD+7GKr54X0k2HbAaOhsNhYrEYr7zySkrhbj56tRexw5hNRI8C1xHv1/3hkiXdTMgl72hPi+ju7p7mqWvndJ1AJtK1DcR1XWfjxo2zfoCcSC9IKdF1nSNHjlBRUTHnqcbZbUSfjGoNLGUjLv2bCDmMFKVxhZjZgqb/aHLMi02eAN54sQh4ureb1rFRVpTEi0Lj0Sj/dvpF7tpbQfzpTZt8nwG4eWl4iMfaW+np68U3OMD2mlqkspKY+2/wRO8BBpBKE2bZP1BaXsYy/SdouhtLVGMaJqYZQjEeI2KEMU0vQjGwTBXDNImFu3D5ytGMR+MdC6J48lxOoJmPEtMOJg5dd12HahxHyBPEJ28rgIuoXomqrM/tfAofUc99wBig0d5+jvpSZ26Q+UwpTjdwNBwO88orr1BbW0sgEKC3t5dgMDgvA0edFEbME74IfBwYAq571ZFuNrDzl93d3axatSqFbG3Mp5F5rgbi+arJ7FyxaZrs2LEj7fyzbDHtopFh3NF/QLFaAIEU5QjMRHSIEEgUFNmDof4RoEwqvdwIGcBQrwJgIhpDUc6v7dVUxqNRdNefohk/iyvM4gvSo7+HLzzzNF5VYywS5ivPHeMjew6wtaoYl/7vSKFhyWWMh1t5uPlr9Opv5KYtChXEhQiaBpoqgdrJXKyCaWlEIxNYpqC5w08gdIwNdaNUl0VAeFBVFVVYwBTyEyVEfF9CMZ9HM/4LRQ5hKRt4ofMQl9bkQZRCAHGCcbIlaz6EEfbA0amjfzINHE02OJ86cHSmHLHf73eskDYfkFKOAZ8UQtQD5UuWdGe6M87mNzsXsrUxH6QbDocTo9RzMRDPNdL1+/2cPXsWRVFoamri9OnT+UW31ggrKn6DEn4Jqe4DNqEYh1HNlxFyDMV6BagCIRCMgnQhZAyJh3hGUmIqTVjqVnT3TYjYd1DFBKb2WgxXvD1rc2Xc67ZM6+WNdcdABrDUy0AUE/b9CJf+TTTjl0CQSuUHvKd+N48Pvh1D01BVld90drC9Iooie7FEJef84xiWymtrn+T/PLOF0ZDKnXsqUcw2FIYBiSXWoms34DIeQBVhFMVCltxG0/ZD8cOOVaBFP4WU41iGJGYqvNS9EVO8mNJX7PV6sbT9xLT98fdZFqb1XO7ne+rpd5AoF0oYMdPAUbtwl27gqK02S7fu+Pg4a9eudWzfncKkjy5MPsJJKdthCSvSZoJNlFNFA6ZpJvwJVq1axcGDB2fNMTlJupZl0dvbS3d3N42NjWzbti2nx6psI91gMEhzczOxWIxNmzYlig75RMyWOUJo9KOUlvYRCpZQ7HoEYZWhYZOKicSHVCab9qUXKSqwlHrUSeIxtD/A1N4Sf7V2BZ0TjWiayoqylSjmC7j0B9heFOKz+9di6r9HCJMizUdt0cMYegWm+48RcgJBFEkxhozxutpnGdEb+NXgSizJZJSsIwHdsoiYBm5Fw61EqSkqos0foVO/mXr1k0gqkKICMHCZDxLxfhs91suZ7mG2Vx46f/5dG5DydWjGw6AKRNEfs3X7NYQnI7iJiXgHhS3TtR+jnZKpJv4Gi5h0sx2/rqoqZWVl0yJWu3A3OjpKLBbj+PHjWJaVKNydPHmS3t7eRNeFEzBNk71797Jq1SoeeuihnNdJyummYMmS7lzsHW3STSZbuzI/14S+E/lT20+3r6+PsrIydu3alVcOa677FIlEaGlpYWJigo0bN6YUPyB3E3IpJb9p+Q82ensYChehRmFlcZjl3pcBH/H8pY4giGGNoYgyBEEmrIPc9dwmevxbWF5SwV/svpzV7qmkIRBWO+7Y5ycjYhfrip5ASAMpVqLIl0AaqPo/EhMqinUKiQZC4FVdxGSEKlcLY3oNFVJy5boGTNXCJXyo0o9b0Slx6Tw3fAmWBEtauJUQUpSDSEqzyDEQBiZrsWQk9fwb/4Nq/gYp6gCJy3gYqWymqOhyioqKEvPYIN64b3tQ9PX1EQwGE1OKk6Nij8eT9WdisacXnCia2b3FLpeLaDRKU1MTlmUlfIt///vf88QTT/DLX/6S++67jwMHDnDffffltc0vfvGLbN26Fb/fn/MaQogS4q1i/cRbWPyT/w4tWdKdCXbbmGmadHV10dXVxYoVK7IiWxv5RLrJRjj19fU0NTUxMjLiiPfCTBFq8pSIxsZGmpqa0m4zVz/cgVCQlpF+mlYruISCS1UJxsbBA5Yk7msgVUBhNNqLIccp8h3i40fqaPUPUOLycXokwG1P/Jqvvelqiia7Jezea8U8BdIAZTLHbRUD3SjyJOdVXzqu2FewlHUIOQhoqELg0TyU+dazvbSM9x44RH15PJ8Y9dyJFvu/qEo7P++q5Zc9B4hZQQ6uXM0yXw16OEZPYISIKSl3Q22RFyhBSmPaudPMpwFvvN0NkFJDMY9hTkqDk5Gc14zFYsRiMXbu3JmYUjw+Pk5PT09KVDzXEUD5FL+mYin5LiTnf++++25uuukmbrvtNhoaGmhra8trO11dXfzsZz/jtttu45/+6Z/yWcoDVAMVQDHxaMQDKK9K0lUUhe7ubkZHR7Ny3kqHXEg3k4H46OioI+1nqqqmJcvk7dbX189qb5lreiFmmrzir0eXz1GkhTBMFUWxsHAhhI5pqVhSx5Iqdx27nsGYF4+7lJ5QmPLJiK7M7SEQi9HhH2dr1RSz6ClSXqkUoVjxPtfzHQ4aggCm+r9Q5DBxnwIL1CZ2r/kLzP4TCcKNr7EO3Xs7NR7JGqOLK93jrCot5bJVaxiLxXjola28edUzFKkqUUPy9TNX86HdLmxbxpT9ERWE9ZcYCMdQhKCuKIaizd6yZEeT6aYUQ/wmbReYkmW6M0XFiznSnQ8D83SwuxdKS0u55JJL8trORz/6UT73uc8xMZFBgTh3jAB/x/kWG414tXVp+ulC+vSCZVl0dXXR19dHVVVVXmRrI5tHcDuNYbeeTRUYOKUkmyqOSPbSncm4PN06s5Ku5UeJ/QisfqS6C+m+itqiYmJmLfc9dwVvX3ecIq/FucBOqisPUmz8HaoSIGK4eaD1T9DdqylRDHomJgjHYghdRxUKQhFEpcSKRhMXqB3pmupBVOUXhKJthA0DRbgImK9nrfcXAEg0NCWuLLPUJsKu76FYLwFuLGX7jI6lAhgJh/lleyuWlJwdHaGpuoafnNvNqbHNlLsD9IWX0T6h8c5tUdQ00eTvhl5PHU9QpAWRQPNYEWrp61k3S8PsbA5zLpeLZcuWpbQ/2QZHyT2w9jjzSCRCT09PVoMxM2E+IlMnc9gzmd34/X5HWsYeeughamtr2bNnD48//nhea01OAU7L3EuWdJNhk21nZyd1dXXU19fjdrsXzDQ7efszqbmcJF3LspBSJuwdc4noZyVdGUEN/m+wugAVRX+CYKiZF5r3887aOo5Ey7n/5RXsbljPDTt2IlSVsOcwbWMD3PG7I1T7vKiqQtSyqC4r449WrOJHZ19GtyyQsLeqGkbHeK67BzjffO/z+fh13zvpm3iYbeXdDES8HBtw8XeXLqPKMw5YWJaJ1PZjKZeAEFjq/jkd87HeHr7/0mkqvV5UReFXHe0EYzqWlPSFl9EfqSRiGAyFxvnQz/8HtxBcXVXL9qQ1/vMVP4Hon7C7qgdLCn7Xt4Ir6sf508lgdygU4j9fPs1QOMSltXX8YeMG1Mmbdy5j7u2oePny8/PbdF3nmWeewTTNOUfFM2E+RvUs1NSIUCjkCMH/7ne/48EHH+Thhx8mEong9/u5/vrreeCBB3JaTwihMd00eemSrp2PtMlu+fLlCTVVd3e3o6Y3mZBsIL58+fJZSS9X0hX68wjjCIgiLPcfoCg1RCIRnnrqKaqqqti3b19O9o6zRfHCeAFh9SLFMizLIhIOoio/YfOm91JWXsnlwFHtKJdeeimqqhIIhznW10sgFuXAipUc7etBFQIB/NWe/eyoqWVbTQ3nxsdZXlLCoZWrUSYJwbIsfnf6FD/oaMfsbKPF38tnD7zAyuIxVMXkyhWCH7W/ln215yh3+XlxtJG3NH0u1fZwDjg1NIimxPPQAKVuD/2hIJfU1PL8QD9SSkYiYYpcGlVeHxFd5wfdHRwc3caGZfEcsyIEo9Finh7aBsCEEUab7A6aiMW47YlfMxoN41Y0XhwcYCgc4kOX7HI0B+tyudA0LUWebheY0kXFs+WKnR7Vs1AG5vbn14l9v+eee7jnnnsAePzxx7nvvvtyJtzJfUubl1yypCul5JlnnqGysnKadNXlciU04U5uz75gpJT09vbS3t5OdXX1nKWzueSHRez3KJEvEZewGlihwxxveR+GoXHgwAG8Xm8ORzO59qyFNBNLSiKR8KSSyINLNdDKzlsG2sQdNQzu/P2TtI6PYknQFMH7tm5jTXkFq0pKKHa5eaS9laFQiE3LKtm3YmUKAb04NMjHjx9DtywUIbhqVQurS0cod0eQUlLqsnhn/RPc+ps/J2RJqr0+LqnoTRDJXC/wSp8PQ56/8UUMnZqiKm7dvY8nO88xHA7xwOmT1PjiKim3Gr+YW8ZGE6R77aYtfPbppxiPRrGkxKdpvHFdAwCnhgYYjUao9MYJwmdpPNLWwo07dsaLhPNoHpRcYJoaFU/NFUspE5aOJSUlRCIRR32ZF3JUD8zf1JFcIYS4Angt0A0EiHcv+AH/kiVdIQT79u1Le7KdNjK3H8MVRaG/v5/W1lYqKyuzNhDPpXClxP4bRBG64SYYDOLRRtix2c8zJ1flRbiz7U+8KOdjhU/F5w3h8/oQBLFcb0xU7eE8cT8z0Efr+CjVk16s/miUb5w4zoGVq2goK+fs2CitY6O4VIXH2lt5W2Azf7xp0uZQmnz9uUexpI5bcaMqgiJVp9wVxJIaloxLhMs9ETbUDnDWv44/3bErcfOzbQntR+vS0tJE+mXq5+PK+gae6ummZ8IPQlDqdvOeLdtwKQpvWFcPwOOd5xiLRChxuxORVIXn/Lk+yj5kzQAAIABJREFUsHI1t7/mtRzuaMOtqrx1wybWTPaXCsSUWRGT5wlnRjXlgnS54qlR8eDgIKZp0t/fT2lpKcXFxZSWllJUVJQTeS4U6WbbDzxXXHHFFVxxxRX5LOEFaojLB0s5372wtGekZXo8dsJpLBmqqtLf309HRwfl5eXs3r07J8LLpS/WMCKEQ0FMS4+7NylRLI8zf7aZBlx2dnaydu1avMu/hhr7HtLqR2q7sDzvTXm9XfyKGGbi/5aUdAcmGI9Gebq7i8c72rCkZE/dShRFYFgWD7Wc5a0bNuGRZ3FHP8M9u/sJGwq3P/d6jg+v5PRYHUKAkBJVUXAroMsirt20msqSK6mbIl1OLjiNjo4SiUQ4duwYLpeL0tJSSkpKEB4PA3qMD2y/hFAshglsrqyk1J2qyrv10r38/e+foC8YQFoWm0vL2VO3IuU1u5bXsWt53bRzuqOmlipfEYOhIC5FJWYZvGPjlllVktkiX+vEqVGx7Z9QUVGRiIq7uroSUXFRUVGCiG2J7kw3kPmYBJyOXBexBPgw8Dvi2YTJ1hrcgENX7wXCQnjqDg8P4/f70TSNXbt2Oa4qygTbl6FE28L6FY+jakWT9oJepLYPOJf3NpJJ13YbO332LD2aSml1JavKSlG0ZVjaxzOuYf8NtlRVoykKgVgM07IYi0RQhCCg68RMk5ChE9BjlHk8qEKAlFhmGLd+OyHdT0B34VJ07trzOO/51ds5NVZJb2Qza4vbJ8fh+NBEGdtqX4NUpntF2AUnj89HSeUyRkZG2L9/P9FoNG4oNDjAP714goCuI5HsXFbJW9at5y+PHWEoGmV1aRmfOnQZ9eUVeDUNl6IQnBwvX+f1xvd5Dihyubj7dW/gx2fPMBQKsbN2OVfVNyTO8UJPqJ4r7ELaTFHxxMQEo6OjdHV1EY1GExLd5FyxfVNZqJaxxeqlK6XUiTsdIYTYB1QS7z8cWdKkmwlOjOwZHR2lubk5oYhZv379ghBuNBqlpaWF8fFxNmzYQHXVrQhjK1L/bbyQ5nknqKtxknSHh4c5e/YsruIi/js4Tk8gAN3ncJ0+yW2XvS5tRGfDJt3VZWX8nwOv4bsvnmAgFERVFIo0F25VRVMUQoZOl9/PuooK/NEo+1esxKuOEgiOMxCSSCBqafhUg7WlQUSwksqqL2Ho/4xqnUKKCpojN/Jcj58yT5RDK1fjmXIR/rqjna8efwbDsii3JOu3b6e6qAiPx8PnT57A1DTqSoqRluTo6AiPDvQhpcQjFGLRKH/zi4e5Z89+/vmV01hSsqasjGhM57dDg1w9Mjy9nzgDKrxePrhj57SfO0mU89FXm2m95Kg4Gcneup2dnYRCoURUHA6HGR0dpbS0dE5DMWfDTFMjFqOXrj1+XQjxfuAS4N3E1WkVS5p0M/0hcxmLY2N8fJzm5mYURWHLli2Ulpby0ksvzdukBhu6rtPW1sbQ0BANDQ1s3br1fOHOfSXSfeW09+R7EUejUbq6uhJN5b/t66EnEKB28uIKxGJ858RzfOlNVyOM58HspDNUwbGBaoo0F5evWZuSMtleXcNdr70CfzTCLb94mOFofDKtJSWVXh8NFRVUeH1ctmoN12zcjD/mx4zFcCsqEVOgCYkqJGXuFewvX4miVhJT7wQp+W1XJ/9y/BlMOYgAHmtv4zOXvS7RhdA2NsaXnzuGV1Up1jT6/eN87ujv+dwV8fPWHZigaLItPWIajMWigMCraRiWhakqmJpCQAj6gkFKhcJ4JArECelMVxer3Z6UaC5bONm9sBjEDOnG/9jeuuPj44yNjdHV1ZUyFDNdVDwXZDrexUq6Sfh/gA/B/8/ee4dJdpd3vp9TOXV1zrl7qsPkrJEslGVEkG0ExgbbkrFYFi6sxbLoAYEvFvZesLm2WFhjA2avSbsLeEFrVgILkBiBwsxogiZopnNOVd1dXTmfOveP6t+ZU91VHasGzeD3efrRo+nqk+qc73l/3/f7fl/2Aw8B9dc16OaLrdzYWgNxl8uVxRMVujCnBUtZlhkfH2d2dpaWlpYNj8cRYLeVc41EIgwODhIIBKipqaG7uxuAcCKRJSo06fWEEgl00S+ji/8zibRMSTxBNHCE/z5xCz8aHuQPa+pV0D0+Mc7XL2XmS9lMRhJpOcPH6nVUWmx8/Nit1Gu42KWYiW/038b7e36JTgJJkvla3wF8qXL+037NeHRJ4uuXzmM3mrAYDCiKwpBvibPuOW5qyIzLfm3BgycSJplOo5cknEj0Ly6SVhR0kkRXRSVn5mYp0+kIJ5MZ997lLF2v0xFJJnGYTLQ3NtA1UcN0KEC5xUI4FkMXSVFpNDI5OUk4HAayR5yXlJRsSL1SSPXC63Vyr+CGjUYjO3ZcnY6xMisW13GlrnitrDjXv79e6QWu1lBtwCAZbrdRUZRT1zXoFiJr2IiBeDHsHXU63YYaKvKF6ErbzIOSSCR47sJ5nh4bwVJSwsHKKpo06ou9tXUYX7tIOJHAqNfji8V4V08Vuvg/A2Z88ShK2sBvtZzmYuBmBn0BLpmtdKXTTAb8/NOl8zhNJkzLf2u229lZVY3NYOT+HV1ZgAtQbbPRHzzEIyfqaC8JMhow445U8E/330Od/epnFUUhmkxRtly8lJa1vzH56nfy84kx4qkUpuVruJBK4jI6VR3wBw8c5i9f+iVjAR8JWabMYsVmMOCOhEmnFfQ6iXfv3EOFxcqHjxzlMy+/wFIsRjKV4reaWnnDzl3qvtLptGpis7i4yNjYmDo/TBSaVo2M5/VPLxRz2OlaWbEofk5OTubNivPF6xV0lavFpu+RUS78C/BHkiTdfl2D7nqx1k0eiUQYHh4mEomonrb5Yjt0xcrQ6XTMzMwwNTVFdXX1lluVNzPOXXgyXJwY57uL81gtZhKyzPdHhogl4rS3Zwo9O8or+Pgtt/L/nT9HJJnkflc3b++2QMQA0jKNIOmQFQWbPgrYSCxLs2bDocwUMEVhPhJBh0RSSfPIoaOruFf1HHQ6Pnv7XXzu5Euc9XqpMpn55F5XFuBCBmRvbmzkhalJSs0W4nIKo15PT8XV72w6FKLSasUXj6uSrXvbrk5oKLNY+H/vvIelWBSjTseXXz3LmblZ6h0OZEXhA/sP8eZOFwANjhI+f/cbWYxESITDJFb04et0ulUjzhVFIR6PEwwGc46MFyPOX6+gW8iOtI0qK3JNnIDcWXE4HOa1117LWl2YTCZ8Ph+NjY0FOe5Cx7Kf7pNkCmh/B3wEaL5hQVeA0kpA09oddnZ2UlVVte6DYDAYiMfj2zoeRVGYn5/H7/djsVg2rfFdGRvR/Go79pqamqChHl3AS7klUxBMmsyc8Hh4j+ZvDtc3crhecxMrEZDMoISxGgwk5TCxlI2xkA2DXs8OpxNFUaiyWgnE4wwveUGSkNNpSkxm1oOYWrudv70rMyVifn6eUCiU83Pv3XcQk97A2blZ6uwO/mTvfmo14FxutmDS6amx2UnKaZZCQXZX12RtQydJVFozTQsfPXozlxfmCSeTdJaVU7Wi28mo01HncLAYj7ORYU2SJGGxWLBYLKtGxgsA8Xq9xONxPB7PKnpis/fCtSykbWVb2wHwlVlxMpnkwoULtLa2ZmXFn/jEJ/B6vbhcLvR6Pfv27duy4U0sFuO2224jHo+TSqV4xzvewac//ektnwNk/HQlSfr3iqL86fI//TVcxx1psDa9ILS6AnTj8TgjIyP4fD46Ojry2h3mCoPBoHJQWwmv18vg4CB2u52KigrVG2I7sRboKoqiNnFos+nLQ4Nok5A0itq+mjckGynH36IP/zlO0wyeWD3/MPgWyq1l/Me9+zEsLhEIBFiYmyMRi5NMpdBJOnQ6CZMk8cL4KHe0d27ogY6mUrzgnuOVWJTd1dXsrLoKXlaDgX+//2Dev/3AwcP81YkXSacV0ij0OEo4uIbqQidJq0A57yXYRnYqhmOWlZWp31lDQ0PWsnpiYoJkMonJZFJBWIw3z7fv1yunC8VpjNBSDiJ+9KMf8eEPf5ienh7cbjdf+9rX+OIXv7ilfZjNZp577jkcDgfJZJJbb72VN73pTRw7dmz9P14Ry8neQeAI8FZJkr5BxmFsCai+rkF3rRA8rNZbtr29nZ6enk0/RFulFwKBAAMDAxgMBnbt2oXD4eC1114rmL1jru0I+ZfT6Vw1bPJYYxNPDQ0wFw6hlyQSssxvNzWRkGXc4RAOo4nyXLI4vQvZ+T9AUagok3h8GcsikQhn+q6en264H6OcIoWC02TCAIzPzHDGm5nkq83sVrbuRpJJ/ub8WSYCmZXAk4N9fODAIW5rbt3Q9dhbXcPf3nkvQ0te7CYTyfGJZSey7UWheVhJknIuq7XjzYPBIPPz8+rsMO11ExN1Cw26ULhW2kI3RqxlnhONRrnnnns4cODAtvYh7k/IZNbJZHLL12MZK5qAO4AaMpOAxfjqG1MyBhlQGh0dJRgM0tbWhsvl2vJNajAYNgWU4XCYwcFBUqkULpcrS9JSaKcxEcFgkIGBAfR6PXv27MlZfCi3WvnL2+/i+PgokVSKLpudiM/P//WvTxOIx0grCr/Xu5vf1RSNsmL5eicSCVVLPK+T+OmiG89PxlmIRoilUugkiblIBLvRyB179tFeVoYsy+oyW7TuCk2nw+HgSiTMTDhEpdmCzWYjlkrxPy5f2jDoAtQ7HGqx7pWJyU1czfxR6IaGfBlgvvHm2us2NzdHKBTKssJcWFjY8uSJYsW19F0o5CRgWZY5dOgQQ0NDfPCDH+Smm27a0naWV7HHgVngZ8D/ATrJMAuz1zXo5opUKsXExARut5u6uroNe8uuFRtVL8RiMYaGhgiHw3mLc4UCXe2Qy8HBQeLx+IbGt1dYrTzQsxMAn8/HR86eJqSXKLNYSaXTfOfKJXbX1NCrWdqLEAM9Z2ZmaG9vx9ZQz2ee/iEmoxF/MkFcljMcriShW/6vJxKmvawMvV5PaWlp1gtIW71enJ0mkUgQS8mk5BSSTkeETCZjsVheN4CyndgKgOe6boqiMDU1hd/vz3IT0y7BhW9CMQ128sX1Crp6vZ5XX30Vn8/H2972Ni5dusTu3bvX/8MVsSxFDACvSJK0BPw74ISiKM9KklRxw4Cu1kC8sbGR1tZWrFZrQW669UA3kUgwMjLC0tISnZ2dVFdXr9m4UQjQVRSFiYkJ4vF4pnNtAwXBlSFJErOxKI3L7lkGnQ5FgW9eOM9SPEqFxcZ79x+kvayM2dlZRkdH1bFHer2ep4cGSCkK5QYj8eWWWZ1OR6XFSiItY5R0zK/h9qZdOt9T4uBH7lmSySQWixlfNMZNFVUMDg6qo2wELXEtAeX1KPOSJAmj0YjT6cyagqut+o+Pj6tOe1rPBKGhLWZcS9ANhUKr1A/bjbKyMu68807+9V//dUugK+4ZSZJ+g0xDxGGgl4wfwweua9Bd6albX1+vFo2mpqYKZnqTDyhTqRRjY2O43W7a29vp7u5e9wHdLujKsszY2BgzMzPU1dVx4MCBDYGCLxZjMRqh1u7AsVzE0+v11JotBOJxyiwW5HSa+UiYSDJBjd2ON7rIx599hodrG2mpqlrl22s1LM8IQyEpyyhAKp0mnExg1hsot1poXlY3XJj3MBsK0eospbdqdTttrd3BR/Yd5JuvXUQxmbijpZ3f792ldpwlk0lVjiUAZS2eeLuGMCIURWFhaompM27SaYW2PS00d9dvCYiLDeC5tLCyLBOJRFSeeHR0lFQqhcViyeKJC3W9oDhmN7m2V0gv3fn5eXWeXTQa5ac//Skf+1h+z5G1QvM9HwP6gH8CHlz+tfu6Bl1FUThz5gzl5eWr9K6FkHmJWAmU2qy6ubl5UxTGVoty6XSa6elpxsfHaWpqoq2tbcM83s/HR/niKyeBTNX+E7e8gQN19aTSaX6/uZXvLrjxxaKkFQWDTkeDwwEKSPEEgVQSamvo7epetd1jjU3U2+xc9nkJJpPolx3GYqkUdXYHv9u1k92VVXz51bP8y2C/6jf+J3v28/auHq68PMjg6RH0RgN7b++hvb6U/9C9M6uTSYTRaMwJKCt5YmHxmEgk8Hq9apfTVsM7u0T/C0O0ulrQG3RcfP4yBqOOhs78yoh8UYyi3Hqh1+tzaopjmnHxMzMzmaLomTNZGfFWRwBdKwNzEYW4prOzszz00EPIskw6nead73wnb33rW7e72TQZHvd2YGr533qva9AVnrq5opD2juJL1U6K0GbVmwmDwUAisRHlZyYURcHj8TA8PExVVRU33XQTRqORiYmJDXnzLkQifOHUCazGjPlMNJnk48/9DKfFTFKWaTea+Jv73kwgHsduNPKnz/yYQCiMTlGw220kkwZK8tzwVoOBR/fs56Hnf0aJ0YjNmOlGCyUT/F7PTt7m6mLC7+NfBvuxGPToyIDyf7vwKh0+iYHjfVQ2lCPLaV7636c5fP9epPzPFgCJWJK+EwPMT3opqXSw65buLHG8cMQ6f/48i4uLjI+Pk0wms7rFSkpKNswTL077MFqNmG0ZFYijzMbciGdLoFtI74W1inLrhSRJWK1WrFYr1dXVJBIJLl++zK5du3KandtstiwwXu8lJstyQQ3R89k6FvJ67t27l3PnzhVkW5r4NvBm4GFgXJKk/xuouq5BF/LrVQvZuqsoCslkkhMnTmxqUkSu2Ay9sLS0xMDAAHa7fZWHr16v39BLxRMJL09AyNy0sqLgiYQw6jPj0y/5fXzr4nk+dPAIY2Nj3GK18ZN4DKPJyFIiQVtZOQdXeMkqiqKahLc1NeE0W0jJMsgysWQSOZ0mvLSE1+tlIR7DoNOhX9YD6yQJXVpmaGAKe5kNSS9h1BswmA24xxeo7alYdQ7a/b767EUWppdwVjrwefycfPosb3jHTRjNme9DOGIZjUZcLpf6d6JbbGnRx8TYJLKSyvLazccTG0x60qmrS+9kPIXJujVAKaT3QiGBTVAV+WwdBT2x8iWmbdXVaoqvla1jMBjMyuBfDyG+Y0mSWoAdZGRi/5uMesEKfPK6B918UQh7R0VRWFxcZGhoiFQqxbFjx7J0r1sJnU637nEJ+ZdOp1P1vbm2s5FMt9ZuRyEzNt2k1+OLRkml07jDYUBBTqd5bniII8k0TU1NfOiNb+K2eQ8XPW7KLVbuamvHsnzDK4rCUizK/7h0gZlgkF3VNbytq4f37D/IV8+dIYWCotNTbbZz9w4X8XgcxbtEKhEnmk5jMRiJK2kqrTbqDU4WFhdU455ELEEsGVVfcMuFCFXXChnAm5/0Ul5fxvzEAiFvmHg8wZ7beqluzt/GLeRY4xemGX51AkWBuvZqen/DRTQeXcUTi8JTSUkJNW2VzA57WJhaRNLpMFmMtO9pybuvtaLQ8rNr0cyQT1MsfIpDoRAej4doNKp+NhqNqjLLQoBvPk7X5/O97nwXJEni6aefBvhLMu2/EvBdRVGeEJ+57kE3301sMBi2RS/4fD4GBwcxm83s3buX8+fPF6Tqu5bmNxqNMjQ0RCQSYaHEzunFBawXX+Vt3b24KrJBZaMZc6XVxn88cowvvHKCWCqVceHS6TAujzBPpVIsxmJZ2XuuqQiKohBOxPnz53+OO5JpCR5Y8jIXDvGnh45SZbXx0vQkFRYrv9e7S22rbWtr47+2tvD4L4/jDoWos9p4b2sneENMjE0Sv5ihWuw1Fg5176Kzs1MtkIqXijhPhTRIMHR2lPnxBQwWA4H5EGd/dpF7H7ptTRByj80zeHqEyqZyJEnCPebB5rTSe8y1iicOh8MEg0Hm5ubwer1UdDsgrsNus9PQXo/RurXHppANDb/KbWlbnqs0RdFUKkU4HGZoaIilpSXcbveqCcVb8dddy0v39Qa6AF/5ylcAXgOeAnqAP5MkaV5RlLOSJF2jGeW/gtgqvSAsHgHVT1e7ve0u6XKBZTKZZGRkBK/XS2dnJ+fDQb796jkcJhOpdJrLC7/gL2+/i2bnVa3mZuat3d7axoG6ehajEU7PTPM3J18inspkk3pJR73TueqFEvZHmOibRk6laeisQXEY+enYCBMBP01OJyBhN5o4OTNNbL/M3W3t3L08IWFl9FRW8Z3feYdqswgQWgoze3qB4StjyxyjDZ/Px5kzZ7IyTbvdjslkUoGh80ALZ39yAVuplVQ8RfPOBpbmfPg8fspqSvOCR2AxhNFiVH9vL7XjnfXl/H6cTqdq7Tk9PY2iKJSXl6vqiddem8taYotjXY8nfj3Kz6BwdIDBYKC0tBSLxUJbW5uqihBabL/fn+Wvq+WJ15IAXm8G5tFoFEVRPrf8v5clSXoYmIPMhOAbFnQ3O49MjMfJ12QgVAeFBF1ts0FraytdXV1IksTPnjuP02LGtizJcofDnJqZzgJdvV6/qSGXTrMZYzqNIxiiXG/AZLNh1BvwhULc3tKW9dmQL8z/+YefEPaFUQC/FY53QURJsRiJEIjH6a2qJo2y7Eu7sWMQgJtIJHjmn59l6PIYRsWYAdUglBuq6D3WRSQSIRAI4PV6GR8fJ5FIYLFYMuBW76Cpux5HhQOj2UhJuY2FaS9ySkaWZbX6LHhnWOZ5y2wkY0kV+CLBKE1d9WsdLnB1Gb9ycoJ2iS2yYqEn1krYtGbdNzro5tqeoGtWTihOJBLqS2xxcTGL2tFev7Vanl+vme6pU6eQJOlZYIDMtIhbgHdKknQBiF/3oLvdmzgWizEyMkIgEFC7yPJNGC5UJ1kqlWJqaorx8fGcXrp6SWIuFGI+EkZRMiqBlS8Q4ae7kdBm0od37ODxxkb+8fxZQokEB5yl/LsDVw3DFUWh79Qg4UCE6pYqJAn+JTmBPwTV5SVEEkkWY1HG/D5sRiNv7OhU9brrRTqdZnx8nKnxKQIzYZSohLOhBEUB9+g8UwOz7LylW31I6+vr1WOKxWIEg0GCwSD2JguTlyexlVpxT0vUtddicZoxGo3qSiUVVHj1569hLTHTtquZqqZy6l21zA7NIUk6ymqcdB3uWOeI8+t98y2xxbjzYDCo2hIKMBEcqMVi2baO9fVKVcDGQNxkMlFZWbmq5Vn4FLvdboaHh5FlmVgsxtjYmJoVixVFIBB4XWa63/jGN3jb2972DFAJtJDx0v0dMlrduusedLcaAogWFxfp6OjIGo+TKwqhhlAUBa/Xqy6L8qkgeiureGZkeNmwRSGYSOCNRbM+o6UX5HSakzPTzIWCNDtLOVzfoPKiExMTTE9PZ2XS1cCxpmYAXnrpJXUaA2Ru/HgkgdGoV69H0JDGqGT+v97hYCYUpLHEyTt6ermrNTelsPK8PR4Ply/0MXPOg142MHVxhngkvpyVgiJJ6HT5JwYIiVNNTQ1tH2hj8Owoc6NujHY91TsqGBsfw+fzZSRj7iQjJyZxOG2Q1jF9ZZbb33UL++7cSce+FtJpBXupFZ0hU9RcWbDLtf+NRi4FgACTvr4+FhcXmZ6eRpblrJHxm7V3fD1nulsdi76S2oHMvXPq1CnsdjvBYJDZ2VlisRhf/epX8Xq9NDc3c+7cOXbu3LnlIvfk5CQPPvggbrcbSZJ43/vexyOPPLKlbQH8zu/8jpZeWBXXPeiu9UCIbFB7AwhD77m5OVpbWzdshLNdI3Mh/0oZjUgmkzoiJ1cklTRNy51cOkmixGRi0OtddTyyLKMoCl85d5qXpibR63TI6TRv7nRxV1UNIyMj1NTUrKsnFktxoXts293MlZcHCPkyWVqVQWKhKkPXKIqC02zm4X0HOFLfAEAkFGP0wjg6nURTVwMlFVcr3cJpzWazERlNYDPZKa124lsIMnx2lFgogdFioGFHLVWNFbz2Yj+JWJJGVx01LfkHQUo6CZPZhMOZ6UKLRqP09PRQUVHBt//if1FaU0IqnSIej3D2pQtYG0209bZQUlKCc1n0L855ZcFOq5woBCUgwMRisdDZ2YnFYlG5TjFhV9g7anniXNMnRLyeM10oTJeYdls1NTXU1Fy14mxra+Ozn/0ssizzhS98gdHRUY4fP76l78pgMPC3f/u3HDx4kGAwyKFDh7j33nvZuXNnwc4ha39F2errJIRsTDxgk5OTTE1N0djYuGkjnK3SC6FQiIGBAcKpFD/wLTIS8BEOR5gsc/LHe/fnvEkqrTbMer1q0r0Yjawy2RaZ7nQwyMnpaeodJUiSRDQe5Z/Pn6Nz975V1o4rQ1EUZFnG7XZTUlKidrjVtdfQebCNZ7/1AulUmjfd7uKVajMjgUzh6Q937VUB1zvn42uP/ne8c0uZTHhHHW/593eTVtK4F+ewlVvo7u7GYrJw8f8MUt2UWU629jaxMLlIdVMF9jI79lIrI+fHiUeTGEx6Lr/UT/ueFhanvaCT2P2GHtp3Z6Ra5569yOiFCdArTB2foaG9jre9/y2YzJmCm9FoorKmXP1+Pfp5amvq0Ov1WU5dQvQvAM5oNGbxwel0Gr/fT1VVFclkUugv1eu/2dACuJbr1P5eyxOL6RO5eOJCZ7qFbNstZOTLwmtqajCbzTzwwAPcfffd29pHfX29SmWVlJTQ29vL9PT0v4HuVkJ0fy0sLDA2NkZtbe2Wx+Nsll7QOo51dXXx3/ovM+T3UWGxQCzOD/qv0FVZyW80rdZ83tPewYuTE0wE/JmH02jiD3dnO+KLF0lCltHrJGRZJhgIkFYUHHY7na6uvIArQMU9Po/kN3LpxBVsVWbSpLFarSQCMpdeusL+e3ZhtpiZn1jgoXQb3b99N2aDHqvByOyIm7lRDy8+eYolt4/6jlrScprRC+N85aPfoNpVQVlpGTe/5TAlJSWZUedWM9FQDKvDgsGop313C0fffABHhZ3gUphXfnSO2taMu9nU4CzP/NPPOfTGfSCneeF/ncRsMVHZWMHguRESUhydpGP34Z343UHCvgimWhM6nQ7XoXb6Tw5RWu0kGophK7HR2tWMxW5Wu9dEpunz+ZgcmSIcDqMzZ2hEMTfdAAAgAElEQVQMcbwej4eGhgbVwEhbnBOrDJ1Op4LfeiC4HlBuhicWhV+n05lVdNpKyLK8bf15sWI9h7FCF9LGxsY4d+7clm0dNxLXPejmW04Ikf2rr75KdXX1KrOWzcZGdb/aUeqdnZ3s2rULSZK4vDCPw2jMcIeSRBqFwcXFnKBrN5r4y9vv4uK8h1Q6TU9llTqUUYSgTqrNZgyJJGN+PzXOUhKKwo7ycipymJFrO8lGL03w0pOvoDfoSSVl6ttruONdt5BIJjj73HmSqSTzCx5SyRRKWuLiiddoP9KExelk4Pwkz3/nJaLBKK+9PIDBoKempZJIJMqi20vjjjr2H9tLOq1w6Rf9lFSUEA5Eae5pYPjVMUK+MMl4kn137sa1XMyKvDqGpOF0fW4/JosRy3L7bTyaYOy1SXyxJdxuDzt2dVDiLBEnhqQZDHTkvv1YbGamB+coryvjwN17sNizQUWSJExGM6Mnppgd8SBJ0OCqo/FYIyOjIyiKgsViUbW62ozYZrOpVEs6nc5So4ht5+KJt0pV5OKJT58+TWNjI5FIJKvopOWJhc/uelHIrLmQxjlw7WwdIbMqffvb385/+S//JYtXLnRc96CbK7RdZB0dHQUZXCd4w3yxUv61cpR6Y4mTCx435uWilaJAwxotjGaDgcPLS/hcoSgK0WiUC+fO8ciBQ/zE42YqGGBfeQV/sHuvKs/Sft437+eFH5xiYWqRqb4Zuo/uwFmVOYa5MQ/zE4vUd9bS1NbIa8ZBHCYHBrueWCSOs9ZBMBhkenqap//rc4ydmSIRSZKIJkgl0kgmBZPVgk7RYbZZePbbL6DX67CX2vAvBLA6LMiyTGVjBclYkoXJRU788DSJaJyD9+6ltrUao9mIzxPAaDYQjyYorVmuTCvgXVgiaYly26Hf4I77b2Xg9AhKEmKhOPUdNTirr15LvUHP/rt2s/+utW35Bk8PMzvsprq1Cjklc/7Fi3gCc9xx/xuyMqhEIkEgEMia6KA1khEtxKJ4mS8jFr8rRCiKQmlpadZxajWx2um66/HEhSykFZofXgt0C6leSCaTvP3tb+cP/uAPeOCBBwqyzXxx3YOu9ubx+/0MDg5iMBjYvXs3bre7YDdAPk5XURRmZmYYGxvL8ppdGR84eITHjv8MfzxGOC1zc109d26g8r/W/gCVm97Vnlv+JAAgmUjyk386TjgYpbSyhMBSmP5Xhjn4m3vR6zNL5FQyc356o57AYoiJy9NIQHVrFb/9wfsorc4U9/772A+R42kc5XaiJj3eKR/TV9wYTAYknY7+k0OU15YiJ9OMXpjgjnfdorbpnnvuEha7hY69LaTlNKd+9CoV9eW072nh3j+6jcsvDxANx3nzv7uHvpODTAxM4V30UlZVypvfdR9lVaU0NDRQWlOKdyZjetO+p3VL37PPE8DqtOJb8rGwMI+9zE5jVdOqJavJZKKqqmpV95WQsE1MTKgz9LRqBOHSlUwmGR8fV7Nj7YpJ8MRbOf6VWXMuTawYAySOVTulWIBwLBbb9L7zxbX00g0GgwUBXUVRePjhh+nt7eUjH/nItre3Xlz3oAuZ8TgDAwOk02m6urrUpUEhTW9WbktRFBYWFhgaGqK8vHxd+qKhpIS/f+NbGPYtMXjlCm+9+RbVK3ajsbCwwODgoLq/06dPZ1y3Tg4SWAhR117NjoPthJbCxCJxHOV2ZkfmGLs0hZySWZj2UtdeQzQUo7a1iunBOQILAXT6jKdAZWN5xvv2+BUO3rOHeCRBKpUiFoojy5nMTZIkkBRSskw8GkenSOgN+gxw7muh7+Qg8XAsM27cqAM9DF8aoaTOjsViIeyLUFlfjpyUkXQSZpuJ+clF2ve0UFZbyi2/k3GNi8VixIwhPONGbm4/TPvOVmwlGcpEp9PRvruZ9t3Nm/0as8LsNDL48yFqW6toa2vHO7NERf3GlqsGgyGvNCwQCDA3N0cwGCSRSJBMJikrK1NbnLUFu5UUhXAP207BThvaMUC5eGLBFQuvD2034FZ44msJuoUaG//iiy/yrW99iz179rB//34APvOZz/DmN79529vOFdc96CqKwtjYGK2trVk99JDhwtaiBDYTWtD1+XwMDAxgsVjYv38/1lzDHHOE3WRib00tyckplE10k2nnn+3bt0/1FpVTMs9++5csTHux2s0MvzrK2Z9dxL8QQJIgEoih00tU1JUTDUcZPDPKZP8s6eXuLQCD0UBFXRn7796DrcSKLKdJxhM4Kx2Yl920FmQv0WCU8/0zjA9NYCjRYbYYsdgsxKOJzD7qS7FYTFjsFhLRBEaDCZ0kEdXpSUZlYpEYnql54nKMy6/0wSkJvV6Po8zOTfdfnfIryzLj4+N4PB52uHZw5ObDG75OG41kMpmhn2xx9t2yG++kD587QNueFtq2aGYD2TrTaDRKf38/FouFxsZGEokES0tLqkuXKNhpudeVQAxbK9htJLQ8sd/vp6OjA7PZrMrYtDyxOFaRxa/FE18r0C0kd3zrrbcWnIteK6570JUkiT179hTd3lGv1xOPxzl37hzpdJre3t4t28ptVPMrFBCRSISurq5Vy97QYoSFKR+1rdXL8q80J354hpt/+xBGi5HTz5xHr9PRtrsFZ1UJF3/Rh2diHofTDjoory3l4L17adnZqD7Ier2O+o46ZkfclNeWEg3F0ev0HP9fLzLWP4GzrISGxnpMiplIIIaSViitclJSkbkWthIr3uklkvEEOp0es81EXVstTkcpDc0N9Ozr4mff+AWKLmO2E1gKMjDQT0jnQ6/XEw6FMUtWmptaKS0pbLeRoihMT08zOTlJW1sbPT09cBNEgzGQUDPp7UQ6nWZsbAyPx0NXV1dWIrCywy4QCBAIBJieniYWi2EymTI64mVFgtDzrsyG4/E4sixvqLFjIyGAMp/heTQaJRgMZnkniGMVQCx44kLLz/IZmAuQvB5n5133oLtWFMLeEa6CXyAQ4ODBg6sy6s2G6CfPF6lUitHRUebn5+ns7KSmpibnzSWq4ZmHUiEWiYOODLcqSZitJoKLIfVzqWQKg9EAOtDpdcTCMb760W8R8oawl9p59//9AHtu6+XAPbvRP69nbnQeg0WHVC4zdW6GnQd7MBqNyCkZW4mNN7/vbvQmPWeeOc9LT54muBjEYjOx/66MYkPS62jf00w8nOC3/8MbMRgNPPXln7L/7kyBS5IkErEkpZaMplZCh/v8EhNXLpFMvYSlxMyt7zxCbWONCgZbfaDF6kRQM9rt2JzbB1vIFHAHBwepq6vj6NGja3a4iQ47rR+B8PzNxb0KgAuHw4yPj9Pa2qoW7iA7I94sEK+VnUqShM1mw2az5eSJtdaOer0ew3KhOBgMZvlObDXyHVsoFHrdeeluNG5o0N2uvaMW/Do6OggEAtsGXMhvyyjmvU1MTFBTUUtTeQtKRCLoDXHmpxfwefw0uuo5cPcejCYDJVV2UnUSc+PzWO1mIoEoFXVlyHIanV6Ho8xOJBgluBgiEU+SjKdwlNupqC0jnUpz6cU+rA4LFoeZhRkvX/6P3+BTP/hP1LZWs++unZSMjGRalo3NeC761JZlSZfhcWvbqtEb9Nz38F0c+s19xMJx9AYdP/n681Q1lKM36IkEIuhLrRmwJ5Nde8YXqGqqQE7JTIxMUtph5UjPnbiHFgjO9tGzP9Ou7J3x4h0M0tBSj9vtZmhoCFmWVd5RZIRrWW7G43EGBwdJJpPs2rUr52j67UYsFqO/vx9Jkti/f3+W2fxmYi3udXFxkeHhYdLpNBaLBb/fj6IoasFOq45Y2WEHaxfstmLtmOtYU6kUk5OTBAIBVU8M2YMxN/viXMthrJiyrmLGDQG6a3nqbnUemfAsaGlpUeVfIyMj2z1UYLWRuaIozM/PMzQ0RFVVFV2t3fzoK88SiyRIxpP4F4LUd9RgL7Xx6rMXCXlD3P77t1BVXUXKNUdUMkECDr55FxaLldNPn0dRFJq6G/jN99xB/8lB0uk0O/a3kkzIBL0hUikZWU6TltOkEjKKAktuP+eevcTOezqZnp6mra2Nrq4uUokUr9UMsDDtxWI3E1wKsfvWHvQGvXo+oqkB4OA9ezj37CUkScJg1POb77lD/d2Bu/cwO+Jh+NIooVCQ7oNdvOUP3oTJbGTIO4bRbFS/T5vTRjyYWDWOR7iQzc/PMzw8rC5BBQg7nU4MBgMTExPMzc2pE5oLHcLAx+1243K5ssxbChV6vR6fz8fi4iJ79uyhvLxcnQ0nvAiCwSDpdDpnEWwjBbtCybwMBoNq5tPcnClyptNp1Z94fn6ekZGRnDxxPo/d683WcSNxQ4BuvtjsnDRFUdRR43V1dVvuXlsvtPIzv99Pf38/VqtVHcnz5Bd/RHApM58qEU0wMzxH445arA4LZouJwXOjHPvtQ7hcLlwuF7FjV/nBYDCI674m9JKB6roqTj95gRf++RV0ej3hpTDt+1po6m4g7I8wfnESnT4DjOl0hqK4ePoSrttbOHr0KAuTXp7/7ssAHL5vH9ODcwQXQ+y6tYedt3TlPb/9d+2mbXcL8UgcZ1UJVsfVzC+SCFN/tJy2ow00tzRT1VSJXp954KsaK0nGk8gpGZ1eR2AxyO439GZtO98kA1EA8nq9aiegxWJRl8SxWGzDgzw3EoJKqK2tXZNK2E54vV4GBgaoq6vjyJEjGt5dT2lpaRboaMfqLCwsMDo6mlWwczqd2O12zGZzVpPM0tISsiyrz4k2G97KOa2kA3Q63aZ4Yq3kzmq1XldTIzYaNwTo5nuQNmP0LeRYZWVl2+5eWy9Eo8X58+dJJpOrinLjr00xPTCLwWwgHo4T9IaIBmOka9Ok5BQ6nQ694aqsaCU/KAo1/a8Oc/x/vozFaUanl7Bg4tILfVQ2lmN32iitcRL0hkgmZeSUTEmljaN3HqKzsxP32DxPffmnmCwmUBRGXh3j/g++cc2xONooq8le+glZn8Fg4NCRQzmX4M09DRx5037O/ewiyvK48/137Vp3X0KfqtPpcLvd2Gw29u3bB2QE9H6/n8nJSeLxOGazWVUYbGZApYhYLMbAwACKorBv374NK1c2E4lEImOOlEpteB/al5G2YLcS3MTLx2azEQpl+P79+/erXKzw44D1O+xyxXqTe8X2VvLEQJbvhOCJo9Eoo6OjOJ1O9fx0Ot3r1kt3I3FDgG6+2MjD5Pf7GRgYwGw2Z8mx8sV2XaeSySTz8/OEw2F2796dxYmJiAQy49DtThtmq4nFmSUWZryYbCaS8SQ3veWgypHmClGo0SV0mM1mKqsqUBQIEcIr+XEd60BvAtu0meSFBI5KOw6nneauRvbeljH5uHJiEJPFRFl1BjyX3H76Tw1tGHS15zuyzA3nUmCsjL2376T35i7SclqVrK0XsiwzNjbGwsICLlf2+J2VLyNRrFqpGtBSE7mcvQTlNDc3x44dO3J+b9sNrbpCFFC3E/mKYFNTU4yNjamc6KVLl9SCnbgO4hqs1WGXC4i3IxkTPLGWpjl16hS1tbXqhOJQKMTXvvY1pqenKS0t5fnnn2ffvn1bBuA/+ZM/4amnnqKmpoZLly5taRubjRsadNeKSCSiZhPd3d0bIuVFAWwrlIOWJy4tLaWysjLvg9uwoxadTmLJ7UPS6+i9xcXh+/bjLHdQ3VJFS+/G2pobdtQh6SSioShWh5VIIIrZYqausZZQKIC9Is7OW7rYfVsP8UScyo5S+kauYJmx4PG4CYdD2MutmfPdpI5RCyBaL9+NhNG0sesrTGlGRkZobGzMWoLnCq2hjJbjXakaiEQi6jgZp9OpOtTV1NRw5MiRgupQRQSDQfr6+igtLV2lrihURKNR+vr6MJvNHDt2LKsAmUwm1WswPj5OKBRCkqSsVueNFOyEjK1QIUnSqiaUPXv28LnPfQ6Px8P3v/99Hn/8cZ555pktrU7/+I//mA996EM8+OCDBTvm9eKGAN21vuSVhYJ4PM7w8DCBQGDTxQ9RmNvMA6EoCnNzc4yMjFBXV8exY8dYWFggGAzm/fzOW7qIRxK07GoiGU+i0+s4+qYD2EvXzsJXRlVjBX/05+/gf/4/TxL2RbE5rdR2VjMyMEJZZRlWyc7Rtx3gprdebU4Q2aAFGz/66rMMXR4mlUyh1+npfWMnHo8Hp9O5Jj+6tLSU1TlXDAARlplms5lDhw5tiw7KpxpYXFxkbGyMRCKBwWBgcXGRRCKRxZFul8tNpVLq/aidyVfI0Gbp3d3dOU1ijEYjFRUVq4Z0iuX+zMwMoVAoq2AnroGoUbjdbnw+H01NTSpHXOgOOwCLxYLZbOYtb3kL73znO7e1rdtuu01tqb9WcUOA7lohgFKn06mi9fb29nUnRay1rY2GKIQ4nU4OHz6sdvLkkoxpPVz33rkLg8nAxOVpbI0VHLp376YBV8Th+/az946dzIzP4llykwimmL2wSDKSwHVPJwfvzbaMFNlg74Fuqj5RRf+pIRQU2ve3YCoxEAgEmJqaWsWPioxwaGiIdDrN7t2716VqthJakOrq6ipKBTudTjMzM8Ps7GyW8kH4LQQCATUbFFyq1mJxI5mwNktvaWnZ1EpgMyEKtZWVlZsu+OUr2K1UI8TjcVKpFGazmfb2doxGI0ajMatgt5ZRfL5jWqtL7N843V9xrHWz6vV6JiYmcLvdNDc3r3L/2kxstJNMZGGiW26lNlQLutobU/DFRqOBfXfsYt8d6xeR1gvR2JFIJOjdtVywu3djf1vdXLmKwxU8o8iIRaFqYGCAeDyOw+GgsrJSBaRCKQaEsmR8fLyoICUmfFRVVa2iEvL5LYhl+dTUFKFQCCALiEtKSrK2I5b5JpNp21l6vkilUgwNDREKhQqqT9aqERRFYXJykunpabq6utDpdKqMTbyUtTyxSDo2CsRr8cOBQODfQPf1FmJZv7S0hMlkKoj8a73pEfF4nKGhIYLBYN5lHGSP2hH/3W4r58oQxSXR1VZVVVVwrk34BSwsLNDS0kJjYyPJZHJVe+t2FQOBQID+/n51xbBWM8RWQ9tEsWfPng1n6Xq9nrKysiwASKfTKhCvXJanUikikQjd3d1FKcYBeDwehoeHaWlpobu7uygvp1AoxJUrVygrK+Po0aMqOK5UIwgZ49zcHJFIBIPBkPUy0hbsVo5OEl1usiyvej4K7aV7LeOGAN2VN5XQUDqdTurq6qirqysIr5iPXhAANzc3R0dHBzt37lx3dls4HMbn86m8YKEeDG1G2NjYWDQNqZh95nA4srI1vV6PxWLJmRELP96NAnEikWBoaIhoNEpvb2+WNrdQIboAZ2Zm6OjoUKdEbCd0Ot2qZfni4iL9/f3Y7XYqKioYHR1laGhoVVPHdl4oojNOp9MVLYNOp9OMjo6yuLhIT0/PmgVos9lMdXV1VtFSW7AbGxvLTOxYpmjENbDZbHi9XoaHh2lvb89ZsHO73ddtpiut465z7ax3thniwRZa0K6uLmw2G8PDwzgcjqw38FZjbGwMo9GYNfJlenpaBbiWlpY1AU7bFSTaJYUhtpYbFYbYmw3hL1BaWkpHR0fRMsKhoSFisRhdXV1bLvwIwxfBkWqB2OFwEIlE1G6yfN4T2w1xvSoqKmhvby+KKkFobpPJJD09PVmaW0VRVH5UXItkMqnObhP3w3rgKZb5MzMzReuMg8z16u/vp7a2dt17fTMhCnaCqlpYWEBRFCoqKigrK1OVE0ajkVgsxhNPPME3v/lNLl++vO1W4He9610cP36chYUFamtr+fSnP83DDz9ciNPKe8PeEKCrKApnz54lGo2uKq6Mj4+j1+tpamra9n4mJydJp9O0traqbbsVFRXrApy2SAZXuSsR2iW5AGKj0ZgFxPmmwkKGIxwczLT6ulyuovgLaCvghcoIV0YsFmN2dpbJyclMA4herwKxAKHNUhO5IpFIMDg4SDwep7u7uyjXa6XmdqPXSzQ0aF9IiUQCi8WSdR0EVy6kZmVlZXR0dBTlxSH44XA4TE9PT1GuF2Sy15GREfX+Ei+kYDDIiy++yBNPPEEqlaKrq4s//dM/5dZbby2IF0qR4sYGXcgUQHLxcDMzMyQSCdra2ra9j9nZWXw+H+FwGKPRiMvlWpP70/a8C952o4AhRsSIn2g0qor4xY/BYGBsbAyv18uOHTuKkuEIs/bh4WE1wynGgx2LxRgcHESWZXWVAldXMOJHZMTaTHCjQCwaA6ampujo6ChaBq3V3HZ0dGyb2hIdhtqMOBaLIcsy6XSalpYWamtrC/JCWhmiU7O5uZnGxsaiXK9EIsGVK1fQ6/V0dXWtyuzj8Tif+9zn+PnPf84nP/lJotEo586d49577+Wuu+4q+PEUKG580E0mkzlbfj0eD36/H5fLta3tx2IxLl68SDgc5sCBA2tKlRKxBHJKxmDOPGybAdu1QqsWELO6rFYrNTU1WQBUqBAqDJPJxI4dOwq6bRFa05iNdnrlAuKVL6SVACSkU+Xl5UXNCEX3XbE0t4A6saSmpgaHw6Fmg+LFrFUMbJWqErSILMt0d3cX5bsXxe6xsTF27NiR05To3LlzPPLIIzzwwAM8+uijRaHMihS/vqDr9Xpxu9309vbm+Kv1QzxICwsL1NXVEY1G2bUrt5RLURSOf+dFXv6X06QVha4jHbz1/fdithZuvLUYullRUUFbWxuyLGcBUDwex2q1ZgHQZgsqonW3mFpYQHUJq62tpbV1a3POROQDYrvdTjgcVo3ni1GMEy5xw8PDRc8I+/v7SafTeYFQO0RTUFVaxYCoGayljRVA2NHRUZBaSK6Ix+NcuXIFo9FIV1fXKjCNx+P81V/9FS+88AJf+cpX2L177SGjr8O48UE3lUrllHMFg0FGR0fZu3dvjr/KH6L1U7SxNjY2EgqFGBsby7ktRVF47aV+fvD5p6lqqkCv1zM/ucjRtx7g7j94w5bPS4QwjNHr9bhcrrwmKCunEghOUFTJxU+ujEG7/G5ra6Ourq4o4BGJROjv78dgMOByuYqWRY2PjzM5OUlpaSmyLG8oI95sCM2tAI9iKAbEMNKJiYkteTIIxYAAY6EY0FI0drtdXeabTKacQFiocxHqmq6urpyU2JkzZ/jwhz/M7/7u7/LRj360KB2N1yDy3lTX5dlsJjbbRSY6hYaHh6murubYsWPql55Lp6stkk0NzGAyG1UzGkeFnYnL09s6/s0axuSaSqAtziwuLqq2f3a7XX3oZFlmZGSEysrKorXuyrLM6OgoXq8Xl8tVNJ2laNYoLS3l5ptvzjoXrXxtdnZ2FVeu1Y6uFVpaZOVYnkJGOBzmypUrOByOLX8vuVp8tdOMx8fHWVpaIpFIUFFRgdPpJBKJbLi7bqMRi8W4cuUKFosl57nEYjE++9nP8vLLL/PNb34z74ryeo8bHnQ3M7JHSIhsNpvqbasNLYDnKpJV1FeQiCfV/48GY7Tu3JpqQuhHtWbiW83ItG5TdXV16vFHIhEWFha4fPkyqVQKk8lENBplenpaBaBCgK+iKLjdbkZHR2lqauLIkSNFyaDFwMlIJJKXSsilHV0LiHM5j4mutZqamqLpoLV62O7u7oJTPKK7zmQy4fF4qK2tpa2tTX05T09Pq/4gWg3tyu66jYRQckxNTeV9Qb3yyit85CMf4fd+7/c4fvz49ZrdbihumDPL9xBvpHVXOI7JsrzmwEkBuvk6yfbe3svgmWHGLkwi6SXKqku44/d/Y1PnoVULVFdXZ3X7FDJkWWZ2dpbFxUV27txJRUVF1lQGt9utytBES+tWHrpQKKSatBdLsK9dfouBk5sB9VxArFWPzM3NEY1G1e9fkiS6urooLy8vWityf38/dXV1HD58uGigLuwwtU0OJpNpldeC0NDOzs4yMDCgdtdpO8vyURHRaJTLly+rmfrKeycajfKZz3yGV155hW9/+9tbrr1cT3HDcLpiOmqueOmll7jllltW/XsikWB4eBifz5eXX9KGoij84he/UK0gc40YkeU0cyMe5JRMbVv1hj1hIcM/Dw4OFlUtoC2UNDU10djYuOZDrX3oRDYoZnNpgXjlNpLJJMPDw2pLdLHmWWlbhDs7O4uSIWmbYGpqalSPgZVqgfX01OtFMplkYGCARCKxqpGikOH3++nr66OmpmZLBUyt6Y24J2RZzmrqcDgcuN1uZmZm6OnpyUmLnTx5ko9+9KO8+93v5pFHHrnRstsbv5CWTqfzjuZZCbqyLDMxMcHMzAzt7e3U19ev+aBoedvFxUWWlpYIBAJZvGhpaemWl+PCbjISieByuYqmFhBcZ0lJCZ2dnVsulGg7iAKBgOq9KjLieDyO2+2mra1t3Wu71RCgHgqF6OnpKYoqAa5qbvOBujYjDgaDm25sgewXYXt7O7W1tUW5ZrIsq94gvb29BW1yEHRVIBDA6/Xi8XiQJElthxYObFarlWg0yn/+z/+Zs2fP8tWvfpXu7u6CHcfrKP4NdG+++WYAdQZafX09ra2tay6V1+skE22cWqVAOp1eNwsUIcBfdHkVS6wvzFwSiQRdXV1FAShBV4yNjaleErnam7e7VNZWv4upsNiO5jaXbEsLxFr9bCQSoa+vD4vFgsvlKpoOVfiRiNVNMa6Zoijq/SwoCzEuKBAI8Pzzz/P5z3+eRCLB7t27ef/7388b3vCGohn//IrjxgddRVFIJBI5f3fq1Cna2toYGRmhtLSUzs7ONbnF7XSSieW43+/PygJLSkooLS1VwUd4kdbX19Pc3Fw03lbYWhbDaUyEtq1WC+pa/9lAIEA4HN6Wz0QwGKS/vx+Hw7GtTH29EOqVQmpucwGxoMSampqor6/fciPDWpFMJunv7yeVStHT01MUygquuo6J5pOVL9dIJMJf/MVfcP78eR5//HH8fj9nz57lzjvv5M477yzKMf2K49cXdEOhEKdOncLpdG5oSbWySFaIh0DbwLCwsIDf70ev1xZ/b0UAACAASURBVFNTU0N5efm2ucCVIcT6YlpFIc1JtLEVhy6tZnSleD/fclzbrFHMTq9oNKrqh4uluYWrnKowdBFUjTYj1jYybOW+0CpGirmKEtK5+fn5nK5jiqLw8ssv8+ijj/Ke97yHD37wg0VJMCDznB0+fJjGxkaeeuqprN99/etf59FHH1XNqj70oQ/x3ve+tyjHsRy/fqArltQiu+ru7l7zYV2PSthuaM3ERUOAAB6/3080Gs2yOywtLVVNnzcTQi1gsVjYsWPHlraxkfB6vQwODlJVVUVbW9u2HqREIrEKiEWBSvDobW1tNDQ0FA04xLK4mJrbjRjH5LoW2nltGwHiWCyW1bBRrBVBMBjkypUr6j2w8sUeDof59Kc/zeXLl/nqV7/Kjh07inIcIp544glOnz5NIBDICbqnT5/m7/7u74p6DJq48ZsjxE2YSqXUsTwdHR3s2rWLvr6+vMqGYoPtWmbilZWVWYoJbSeZGIljtVpVWmItv9VEIsHIyAjBYLCorbvC0UxRFPbu3VuQCrvJZFp1LZaWlujr60On02G1WlWaRJsRF2IqxbXQ3MJVyqK1tXVNY/Fc10ILxB6PJy8QA6qz2UbUOFsNrYY4l8RSURReeOEFPvaxj/He976XL3zhC0XLbkVMTU3x9NNP88lPfpInnniiqPvabtwwoCtaWMfHx2lqasoay2MwGFYV2YoNtlsxExeTarUG4EKsvrCwwMjICLIsZ3WSORwOZmdn1SaKYk0KkGWZ8fFxPB5PUT1btQWsXbt2ZS1Xc72UhOWhFog3EoKHTiQSm5oUsdkQWafBYNiyTnkjQBwKhUgkElitVlpaWrBYLCpFVsgIBAL09fVRXV2dU0McCoX48z//cwYGBvj+979PZ2dnQfefLz784Q/zuc99Lu/AV4Dvf//7/OIXv6Crq4vPf/7zNDc3X5NjWxk3DOiKm+vo0aOrskFtV9p2imQbDTENt7S0dFvjZfJ1koXDYfx+P2NjYywtLWEwGKioqFALVw6Ho2AZm5Yfrq+vL1o2qOUgW1pacLlcq76XXC8lAcQ+n4+JiQkVePIZ/mgbKYrJdRbbWFwAcXl5OePj48RiMXp6eoAMMA4PDxMOh1fx5VvliNPpNCMjIywtLbFz585VChhFUfjlL3/Jxz/+cd73vvfxpS99qWirhpXx1FNPUVNTw6FDhzh+/HjOz9x///28613vwmw285WvfIWHHnqI55577poc38q4YThdyO80NjU1hSzLtLS0FLxIpo1oNMrAwACKohTNTByudtDpdDpcLhdmszmLBwwGg+h0uqyHzW63b/p8hcmO8A4uFj8seGibzcaOHTu2xUFqVwfiR0xjsFgseL1eysrKcLlcRRPjXwtjcbhqV5mPU4Vsg3yhI9YqSMRUhrXuDVH4E0XZlZ8NBoN86lOfYmRkhH/8x38siHf1ZuKxxx7jW9/6FgaDQX0JP/DAA3z729/O+XlZlqmoqMDv9xfzsG78QhrkB925uTm8Xi+dnZ2qhrSQgJtKpVQjl2KZiWv3s7S0tK5hjMh6hXRtpUqgtLQ0r8OWdj8bMdkpxPkUw19Au5+BgQGWlpZwOp2qAfhK57XtgrAsywwPDxfdT1fsR6g5Nqu7FkCsla/lAuJ0Oq3uZ+fOnasoGEVReP7553nsscf4wAc+wPve975rlt3mi+PHj/M3f/M3qwpps7Oz1NfXA/Dkk0/y13/915w4caKYh3LjF9JyhaARSkpK8Hg8nDlzBkmSsoBnO9pI7UiW5uZmjh49WrSlquCHm5ub2bFjx7r7yTUuPJefgFBMiK6hpaUlxsbGNryfrZ6Px+NhZGSkqPuBqwWspqYment71f1oG1vEZ2RZ3rLPhJiw0NTUlJMaKVR4vV4GBgZobGzc8n6MRuMqjlgr5ZufnycYDBKPx3E6nTQ0NGTRcZDJbv/sz/6MiYkJfvjDH9La2lqwcyxUfOpTn+Lw4cP81m/9Fl/84hf54Q9/qFJxX//6139lx3VDZbrCU3etIpnQzIoMMBwOq45SQiWwEQG51ky8vb29aEvVYg+bFMux+fn5rNbNsrKydRUTW4lwOJwlaSuWFlarud0oNSI8BbTL8ZUdhivtDuPxOP39/SiKUrQJC5Dty9Db21u0/ciyzODgoNqSrqUnIpEIX/rSl0gkEpw/f56HH36YT3ziE9fTNIdrGb8+9EIqldp0kSyRSKgg7Pf7icfj6tJTALEA1Y2aiW83hK43mUzS1dVVNH5Y2CGGw2G6u7txOBxEo1H1egQCgSzFhMiIN8tTar10i0lZFFpzm8vwB6CkpARZltVRUMWasABXBzYW05cBrmbR+VqFA4EAjz32GDMzMxw+fJiRkRFGRkZ46aWXii4Juw7j1wN0H330URwOB4cPH+bQoUOUlJRsuZtnJfAIME+n03R0dFBfX18U/korzdrozLCthJYaWc/DIFcGuNJpLJ9iQjvKpqmpiaampqKBhhgRXl1dnbewVIjw+/1cuXIFg8GA2WzOO4lhu/uPxWL09/fnHdhYqEilUgwODhKLxXJm0Yqi8Nxzz/HJT36SRx55hPe85z1F5W7X6iyLx+M8+OCDnDlzhsrKSr773e9e88LdBuPXA3T7+/s5ceIEJ0+e5OzZs6qxxqFDhzhy5Ai7du3a9FJItLpOTU1RV1eH0WjM8lTQZsPb5YcFz9nQ0EBzc3PRbmxBWZSXl2+ZGtE6jfn9fkKhUJZiQhTFxGBLl8tVNNDQej/09PQUTXMrGl0WFxdXtbzKspylIAmFQuj1+lVAvNGpxeKF6HK5imoII7jo1tbWnI5wfr+fT3ziE3g8Hr785S9fE23rWp1lf//3f8+FCxf48pe/zHe+8x2efPJJvvvd7xb9mLYQvx6guzJisRivvvoqJ06c4JVXXuG1117DZrNx6NAhDh8+zOHDh/P6ia40E8/V6ppKpbJaeSORSFZhaqNi/WAwyMDAAFartag8p2iNLhZlIa6Hz+dTC3V2u53KysqCzSTTxrXS3MLVpbcwKNrIC1F7f+RSCeR6UUciEXU8T7H8geEqR5xMJunt7V11nyqKwk9/+lM+9alP8ZGPfIQHH3zwmigTpqameOihh9TOspWg+8Y3vpHHH3+cm2++mVQqRV1dHfPz80X73rcRv57qBYvFwrFjxzh27BiQuZG8Xi+vvPIKJ06c4Hvf+57awXbkyBEVjAcHB5mbm6Ozs5P9+/fnLVqISqiWN4zH4/j9fvx+vyrWt9lsWa284kESJuqCTy2WxEjLcxbTbUzMkPN4PCqVIIDH7/czMzNDLBbL6iIrLS3d0ksmFArR19dHSUlJ0Wa6QXbn2r59+zbF4ee6P7SFqZUtvYlEQvUHLtb8OMhMYR4aGsrLEft8Ph577DG8Xi8//vGPVZOYaxHrdZZNT0+r2bbBYKC0tJTFxcXryh7yhgbdlSFJEpWVldx3333cd999wNWxJSdPnuTpp5/m/e9/PxaLhZtuuonDhw8TDofZt2/fhqvFZrOZmpqarK4pYe7s8XgYGhoinU6j0+mIxWK0tLTQ1dVVtEKE8FGtqanJOS6lUCEm/BqNRg4cOKBmTiaTiaqqKvWhUBRFfTFpu8i0hcu1xr+IAZo+n6+oEymKZSyeS661uLhIX18fZrMZi8VCX1/fKkVNIXwmEomEOm4nV0uyoig888wzPP7443z0ox/lD//wD6+p7nYjnWU3QtzQ9MJmQlEU3vGOd/Dud7+b+++/n0uXLnHy5ElOnjzJhQsXMBgMHDx4kIMHD3L48GFcLteWAExwaKWlpdjtdoLBoMr/abO/7Vo9iu44Mc+rmBIjMWtLzA3bbGhfTFrFxErNrNfrZWhoqOgFuWtlLK59gawcpCmGZYqflSuEzfhMwFUFREdHR06lxdLSEh//+McJBAL8wz/8Aw0NDQU5x83ERjrLbgR64d9AdwOhKArBYJDTp09z8uRJTp06xdDQkPpWFvzwWtmQkJoJ3ehKEBTidG0HmdlsVjOdjS7DtSDocrmKZlMImRfI0NDQpnjOjYZQTPj9fpaWllhYWFBXKuXl5epLq9D7FMqR7u7uosna4CpHLIqm64GGWCFogVi40OXzmYBMdtvX14ckSXR3d+fMbn/84x/z6U9/mo997GO8+93v/pV3lUH+zrIvfelLXLx4US2k/eAHP+B73/ver+go14x/A91ChyjiiGz41KlTKtAJydrBgweJRqOcOnWKqqqqTetTxdteAHEikcBut2fxwyLbFuqH0dFRGhoaaGpqKtrDIxoPhFa5WFm0lot2uVyUlZXlVQhsV0FyreRmyWQyS2mxHZ231vBH/AiqRuiI5+fncblcWZOORXi9Xj72sY8RjUb50pe+pLbJvh5CC7razrJYLMYf/dEfce7cOSoqKvjOd/7/9s48PqZ7/ePvo9JIBI3YIraQkEQilaCtWopqLbWmVeS26qqtau9dUK2qW1pUNTRULa2qpfipe9HWJa6lRKShtYRsJCEiyL5P5vn9MZnTGZlEojMhzPv1mtdr5pzvnG3OPOf7fb7P83m20LJly/t9uKawGt3KoKioiAsXLqiGeP/+/WRnZ9OjRw+6detGhw4d8PT0vOdJH8PU1fT0dDVetkaNGmRnZ2Nvb29yJtpc6P3fN27csKjYN5TfCJqKINH7Q8sTMaFPDsnJySlVWNxc6NONLVnbTURUgRqtVqtObuqTW1JTU2natCknTpzgww8/ZPbs2QwfPvxBHJ5XdaxGt7L529/+RrVq1Zg+fTpRUVGcPHmS0NBQIiMjqVOnjho7rA8Cv5eelb4SQWpqKnXr1qWwsFDt/Rm6JcwRpqWfkLNk+R/QDYejo6NVqcJ7ibk1zDA05Q+tU6cONjY2alx0aTGq5iI/P18VZDc1xDcXhhodhiLmhj7z4OBgfvjhB27evEnPnj3p2rUro0ePtpjYUGVjCQ3he8RqdCub0n58ffyvoVtCL0Cu9w37+flRp06dUm8ewz9Xs2bNSpSx0Ycl6Q1Pbm6uanT0xri8f3x9VpSlJ+QMz8nc6a53DsNTU1PJysrCxsYGZ2dn6tataxaVMVP71ccRu7m5mRzim4u8vDwuXLigTv7deS4iwu7du/noo4+YM2cOAQEBXLx4kVOnTvHyyy9brIR9ZaGPCHqAsBrdBxmtVkt0dLRqhMPDw8nJyaFt27aqIfb29sbW1pZz586Rk5ND7dq1yy2AYximpTfGGo2mTD0F/aRScnKyRStFwB8xt5au8msoLO7m5oadnZ1Rj1ir1aoRE3Xq1CkhblMR9EkONWvWxM3NzWJxxPrstcTExFJdPjdv3mTmzJkoisKKFSvUcEZLkJeXR7du3cjPz0ej0fDyyy/zwQcfGLUxd5HIAwcOoNFoePHFF0lPT2fXrl14enrSqVOn+9nztRrdqkZBQQGnT59WDfHp06fJzMzE3t6emTNn0rFjR5OlrsuLYQWKO4VcHnvsMVJSUnB2drbopJI+ZCo1NdVkJVlzoi8zo1eFM2VMTYnbKIqCg4ODOkK4W8SE4eSfh4eHRSMgcnNzuXDhAvb29iZDGEWEXbt2sWjRIubOncsrr7xicQOkv68cHBwoLCykS5cuLF++XE1QAvMXiZw1axY5OTl07dqVBQsW4OPjw4kTJ1iyZAmDBg2iqKjofgjyWI1uVebixYsMGzaMqVOn0rhxY8LCwggLCyM2NhYXFxf8/PzUjLo/k22WnZ3NhQsXKCwsxM7Ojry8PDXrx7BCsTn+uPqsKEvH3BoKi98ZC1ve7+sjJtLT09Xq0qZSefXVcZ2cnHB1dbXYw0pfD/Dq1au0adPGZGz0jRs3mDlzJjY2NgQFBVnUtVEaOTk5dOnSheDgYJ566il1uTmM7rVr19BoNDRr1oykpCTee+89CgoK6NOnDyNGjGDbtm1MmzaNxMREqlWrdj96vFajW5XRarWqjsGdyxMSEjhx4gQnT54kLCxMzdTST9TpU1fLuuEMe2d3Kpvphc/1PeK8vDw1NlRvjCviDtD7iKtVq0br1q0tFmkBf8QRu7i4mNWwG6by6mOqNRoNIkLz5s1p2LCh2R5Od5KTk8P58+epXbs2rVq1Mtm73blzJ5988gnz5s1j6NChlT68Lioqwt/fn+joaCZNmsTHH39stH7Dhg3MmjWL+vXrV7hIZGZmJrVq1WL79u2kpKSQl5dHzZo1cXZ2JigoiAEDBjB+/Hgef/xxhg4dSs2aNdm4caPV6FqxHBqNhnPnzqkiP6dPn0ZRFJ588kk1kaNNmzbqn/XatWskJCSUOz5VPyll6B82zB7T+4fv3M6dMbeW9BHrhcUB2rRpY1HDnpqaqoa21apVS01w0VcqNoyp/jNRCyJi5LYwFW2QnJzMzJkzsbOzY/ny5fddjyAtLY0hQ4YQFBSEt7e3uvzWrVs4ODioRSK3bt1ariKRV65c4a233uKTTz4hLS2NwYMHU79+fbZs2UK7du3417/+RWZmJoGBgfj4+KgdlYMHD/Lcc89Z8ExNYjW6jyoiQlZWFuHh4YSGhhIWFsalS5dwcHAgPz8fNzc35s2bZ7LgYHkxzB4z9IXqjY2iKFy5cqVUtTZzYSiJaOloAb0GbW5uLp6eniWSHAwjJvTXpbCwUJ28rEhdtuzsbM6fP4+jo6NJP75Wq2XHjh0sWbKE+fPnM3jw4AclbIr58+djb2/PO++8Y3J9RYpE5ufn89lnnxEdHc3cuXOZN28eTk5OjBkzBg8PD5KTk5kzZw4dOnRg0KBBODs7c+bMGXx9fc19WuXh0VQZs6IT+alVqxbPPfec+rTftGkTCxcuZMiQIWg0GiZPnqy6FvRuifbt2+Pg4FCuP69ewNtQJa2oqIjbt28TGxur+obT0tKIjY2tUFmk8lJZqmPwhz+6efPmeHh4mLxGiqJgZ2eHnZ2dqnVwZ102vfiR4USd4ShBH0GSkpJS6kTj9evXmTFjBrVq1eLQoUMWHUGUh5SUFGxsbHjiiSfIzc1l//79/OMf/zBqY1gkcvfu3Xh6epZr2xkZGdjY2BATE8OxY8dYs2YNc+fOZceOHYwdO5aGDRsycOBA1q1bh7e3N87Ozvj4+AAPVkjZQ9/TLUuF3tyhK1WFmJgYGjdubNQ7Kyoq4tKlS6p/OCIigoKCAnx8fFRD7OXlVe4QNVMxtxUpi1ReDMsAWToCQq9jAODh4WGWJAfDiAm9GLyiKNja2pKZmYmTk5NJFTqtVsu2bdtYtmwZCxYsYODAgQ9E7/a3335j1KhRFBUVodVqGTZsGO+9955RKu+sWbOMikQGBwfj4eFhtJ3r169z5coVOnbsSLVq1Th69CivvvoqY8eO5bffflMTPdLT01m/fj1dunTBzs4OR0dHCgoK6N279326AiqPrnuhLBV6c4euPGzk5eURERFhJALv4OBgJPJzZ3ZaVlYWFy9epGbNmneNuTVVFknvHzbV87uTexEWvxcMHyKWdlvoy56npKRQr1498vPz1YiJWrVqcfToUdq0aUNQUBBOTk4sW7bMounY94O4uDgOHz6Mn5+f2lMNCgoCYPLkycTHx/P9999z/vx51q5dy/bt29myZQvnz5/n//7v/2jTpg1w37PTHk33QmJiInv27FFV6K1UjBo1avDMM8/wzDPPALqb+NatW6oI/JYtW4iPj6dZs2b4+voSHR1Ny5YtmTZtWrnSShVFwd7eHnt7e3W4adjzS0xMJDMzUy0DZNgbjo6Ovidh8Yqij4W1s7OzuNtCH0tcv359nn76aaOHSGFhIcnJyRw7dozPPvsMEcHd3Z1169aV6i+tiuzatYsPPviAiIgIIiMj+fzzz5kwYQJ5eXkcPHiQyZMn06RJE3x8fNiyZQtfffUVb775Jt27dy/xMHwQev6meKiN7t1U6AF27NjB4cOHKxy68iiiKAr16tWjb9++9O3bF9AZyQ0bNjB//nw8PDw4evQoP/74I15eXmqPuF27duX23xrWWWvSpAmAUfWJ+Ph4srKysLe3p379+mptNnNHKOijBZKSkkqNhTUXWq1WTRLx8vIyGUt88+ZNZsyYQf369QkPD8fR0ZGkpCTi4+PNeizlySizRHHIlJQU6tevz+DBg5k3bx5bt27Fzc2NkJAQ2rRpw8svv0x4eDjr169n9OjRNGrUCBcXF8LDw/nLX/6iRmrcp0SICvHQGt3yqNAPGDCAESNGqKEro0aNKjV0pUWLFmq2VvXq1Tl16pTRehFh6tSp7N27F3t7ezZs2ICfn5+5T+uBQ28kjx8/rvZWCwoK+P333wkNDWX9+vX8/vvvakUJvX/Yzc2t3O6A6tWrU6NGDS5fvkzt2rXx8/NDq9WqhjghIUH1D5sqi1RRMjMziYyMxNHR0aLVNgBVEaxRo0Z06NChRO9Mq9Xy3XffsWLFChYuXEi/fv3UNs7OzmaXY7S1teXgwYNGGWV9+/Y1yihbu3Ytjo6OREdHs2XLFv7xj3/8qeKQgwYNIjc3l7lz59K1a1emT5/Of//7X4YNG0aPHj346aefaNCgAePGjSMwMJALFy6wY8cOFixYwIgRI4y29aAbXHiIfbrlUaE35G6hKy1atODUqVOlxj7u3buXoKAg9u7dS2hoKFOnTiU0NNRs51OVEREyMjKMROBjYmJo2LChkX/YVGHJ8gqLGypp6X3EWq3WSGu3tDLxhvuKjY3l9u3beHp6WqxmHfyRKZeRkYGnp6dJSclr164xZcoUnJ2dWbp0qUVTik1RWkaZuas3fPPNN6xevZoaNWrw5ZdfkpGRwRdffMGsWbNwcnJi5syZ+Pr6MnnyZM6dO8e5c+do1aoV/v7+wIMVmWDAo+fTXbhwIQsXLgT+EES+0+Dea+iKKX744Qdef/11FEXh6aefJi0tzWj7jzKKolCnTh169epFr169gD9iakNDQzlx4gQrV67k1q1btG7dWhWBT09P59KlSwwePFidxS5rHzVr1lSzk0D3Z9Sn8OrdEqWVRdLr9+p7nJb8E6elpREZGUnjxo1xd3c3+aD59ttvCQ4O5uOPP+bFF1+sVP/knRllhgYX/lxxSL3e74wZMxg/fjwdOnSgY8eO5ObmkpKSwrx58/j73/9OXFwcERERBAQE8Oqrr7JixQpcXV3p378/bdu2BXTXSVGUB9HglslDa3RLwzB05fPPPzcKXdmwYUOp31MUhRdeeAFFURg/fjzjxo0zWm94IwI0adKEq1evWo1uKSiKououBAQEALo/+/nz5wkJCWHatGlkZmbSrFkzYmJi1N6wh4dHud0G1apVo06dOtSpU0f9bQzLIt24cYPs7GyKiooAcHV1pUGDBhYV+ImOjiYrK6vUCcDExESmTJlC06ZNOXz48H3RuX3sscc4ffq0mlF29uxZo4yyP4OiKDzxxBM4ODjwzTffEBUVxYgRI/j000+ZNWsWhw8f5uTJk9ja2rJs2TICAgLo3bs3iYmJ+Pv7Gz18qpqx1fPQuhfMzdWrV3FxceHGjRv07t2boKAgunXrpq5/6aWX+Oc//0mXLl0A6NWrFx9//DEdOnS4X4dcZVm0aBFNmjRh5MiR5ObmEh4erorAX7x4EUdHR/z9/VX/sIuLyz31BPVJDs7OztjZ2RmVvCmtLNK9og9va9Kkicnj1Wq16jB78eLF9O7d+4GYfTeVUXYv7oXCwkJsbGzIz8/H1taWnJwc9uzZw+eff87cuXNJTU3lP//5Dxs3buSXX35h8eLF/PDDD/z73/+mf//+lXGq5ubRcy+YG30CRYMGDRgyZAgnT540MrouLi4kJCSonxMTE9XvmOJuE3OHDh1i0KBBuLq6AjB06FDee+89c57SA8s///lP9X3NmjXp1q2beq1FhJSUFFUE/uuvv+batWu4uroaicDr049NUVBQwMWLFxER/Pz81MgHw8yxnJwc0tPTuX79OlFRUYgItWrVUt0S5S2KqU8XzsvL48knnzQZxZGQkMDkyZNp2bIlR44csWiCx90oT0bZwIED+frrr3nmmWfYvn07PXv2LNPgHjp0iO+++44vv/wSW1tbtFot9vb2vPLKK9jb2zN+/Hi+/fZb0tPTCQ0NpXPnzvztb38jPz+f9u3bW/qUKx2r0S0H2dnZ6qRMdnY2P//8cwkDOHDgQFasWMHw4cMJDQ2lTp06d3UthISElOkH69q1a4mEjkcdRVFo0KABAwYMYMCAAcAfIvAnTpxg3759LFiwgLy8vBIi8NWrV+eXX37hscceo1WrVqWKeRv6h/WlyIuKisjKyiI9PZ0rV66UqyySvsRRs2bNTKYL68Pt1qxZw9KlS+nVq9d9790mJSWVyCh76aWXjNxyY8aM4bXXXsPNzU0tDlkWtWvX5tatW2zatInAwEB1uYjQv39/YmJiWLt2LUlJSVy4cIEOHTrQuXNn9u7da+nTvS9Y3QvlIDY2liFDhgC6nsvIkSOZM2cOq1atAmDChAmICG+//TY//vgj9vb2rF+/vkzXwt2iIUorQW2lfOTn56si8GFhYfz6669kZGTg5ubGqFGj8Pf3/9Oat6WVRXJwcCAjIwNFUfDy8jLZu42Pj+ftt9+mdevWfPLJJ1W+XM6dGMbL5ufn8+9//5sNGzawYsUKWrRooU6C6R8y+/btY8yYMQwaNIiVK1ca6U9UUd/to5sG/KDi6uqKo6NjqRNzhw4dIiAggCZNmtC4cWOWLFmiztpaqRhhYWFMmDCBefPm8fjjj6uGOC4uDhcXF7U37O/vj5OT0z33NvU10WJjY3FwcKCoqMioLFJycjIeHh5s3bqV9evXs3Tp0rsOzasihoYyJycHe3t7srKyWLBgAZmZmaxcuVJta5iqm5iYqCbEPARYje6Dxt0m5jIyMqhWrRoODg7s3buXqVOnEhUVZXJbaWlpvPnmm5w9exZFUVi3bp2auguPbuKGnsLCQjQaTYloAb3Gr6EIfHp6Oh4eHiVE4Muzj4sXL6LVHJu9lgAAEPBJREFUao00fA3LIs2dO5fjx4+Tl5fHgAEDePbZZwkMDLRYdeD7SXR0NJMnT8bNzQ1HR0fmz59PZGQk7777LkOGDCEwMLDUXmxVyCorB6U/SUWkrJeVSuD999+XxYsXl9mmefPmkpKSYnLd66+/LmvWrBERkfz8fElNTTVav2fPHunTp49otVo5fvy4dOrUyTwH/hBSUFAgEREREhwcLH/961/Fz89POnToIGPHjpVVq1bJqVOnJCMjQ7Kzs9VXbGys/Pe//5XY2Fij5fpXRkaGLFu2THx9fSUkJESysrLk2LFjsnz5cikqKjLr8cfHx8tzzz0nnp6e4uXlJZ999lmJNiEhIVK7dm3x9fUVX19f+eCDD/7UPrVardHnsLAwefLJJ2Xnzp1y6tQpcXV1lWXLlomIyObNm2XgwIESFxf3p/ZZBSjVrlqN7n0gKytLMjIy1PfPPPOM7Nu3z6hNUlKSejOHhoZK06ZNS9zcIiJpaWnSokULk+v0jBs3Tr777jv1c+vWreXatWvmOJWHHq1WKxkZGRISEiILFy6UoUOHire3t/To0UMmTpwonTt3lqVLl8rt27dNGtyzZ89Kjx49ZMqUKZKVlWXx47127ZqEh4eLiEhGRoa4u7vLuXPnjNqEhIRI//79zbI/Uw+NpKQkSUhIkOPHj4ufn5/MnDlTXF1d5cyZM6LVamX8+PGyZMkSs+z/AaZUu2qNXrgPJCcnl5iY69Onj9HE3Pbt2wkODqZ69erY2dmxZcsWk76/uLg46tevz+jRozlz5gz+/v4sX77cKK3Umrhx75gSgRcRVq9ezccff8zTTz/Nnj17WL9+vSoC36FDB3x9fdm8eTMbN25k+fLldO3atVJ8t4Z6DLVq1cLT05OrV6/i5eVl9n0ZugcWLVpETk4Onp6ejBgxgpycHKZPn868efMYMGAAZ8+eZfTo0YSHh/PRRx89dHKUFaIsi3w/Hg8PA3FxcXLkyJESw3xLEBYWJo899picOHFCRESmTJki7777rlGb/v37y5EjR9TPPXv2lLCwsFK3mZqaKgEBAdKmTRvx8PCQX375xWi9uYenVZEdO3YY/b4ajUbOnTsn69atk/Hjx0vz5s3llVdekezs7Pt2jHFxcdK0aVNJT083Wh4SEiJ169aVdu3aSZ8+feTs2bP3vI+kpCRZtGiR9O/fXzZv3iwtW7aUNWvWSEpKigwePFiioqIkJiZGZsyYIaNGjTK6ZuZ2rTxgWN0LlcXly5dl2LBh0rt3b2nfvr34+/vLyZMnLba/pKQkad68ufr58OHD0q9fP6M2FXUv3M1HbM7h6cNKWe6eyiAzM1P8/Pxkx44dJdalp6dLZmamiOj8/W5ubuXaplarNTKUeXl50rt3b+ncubNER0eLiMiRI0ekdevWkp6eLtOnT5eRI0eKk5OTfPPNN2Y4qypFqXa1SgbAPaiICDt27MDGxoaff/6ZX3/9lVWrVpVQh9JqtWi1WrPss1GjRjRt2lStfnvgwIESQ8mBAwfyzTffICKcOHGizMSN9PR0Dh8+zJgxYwB4/PHHK13d6mHgfoaBFRYWEhAQQGBgIEOHDi2xXq+4BtCvXz8KCwu5efNmmduU4tCuatWqERMTw9mzZ7G1teXDDz9Eo9Fw7do1VZXM19eXNWvWqIUyw8PDee211wDMdt9XZaxG14woikL16tXV0i6FhYVqSRvQVSEAnVDHnaEyIkJRUZFu+FFBgoKCCAwMpF27dpw+fZrZs2ezatUq1Ufcr18/WrZsiZubG2PHjuWLL74odVuGPuL27dvz5ptvkp2dXaLd8ePH8fX1pW/fvpw7d67Cx2zFMogIY8aMwdPTkxkzZphsc/36dfU+O3nyJFqtttSClvn5+cAfD5GPPvqIV155hW3bthEQEIC3tzc9e/bk+++/JyYmBoB69erh7u5OtWrVaNWqFc2bN1fv7Sqa6GBeyuoGV2pn/CHh/PnzMnToUOnZs6esXr1a8vLyRETk999/lwULFoiPj4+8+OKLarRCfn5+mdsrKiqq1KFqeXzEFRmeRkZGqr5fX19fqVWrlho+pEer1crkyZOlVatW4uPjo86+W6k4R44cEUB8fHzUa75nzx4JDg6W4OBgEREJCgoSLy8vadeunTz11FNy7Ngxk9t65513ZPHixap7KTIyUiZNmiQiIl988YW4urpKRESE3L59W1588UV5/vnnZdSoUdK1a1dJSkqqnBN+cLH6dCuTnJwc2blzp7Ro0UKNv+3bt68aM7l3716ZP3++iIgsWbJEAgMDZd68eTJ79myJiYkpc9sajUYuXLhgsZu6PD7iOykrhtgQjUYjDRs2lMuXLxstt8YRP1icOXNGOnbsKCNHjpTY2FjJyckREZHt27fLsGHDZNKkSdKzZ0/57bff1O8cOnRIOnfuLNu3b1eXPeQTZXfD6tOtDBISEtBqtdjZ2TFkyBCWLVvGyZMnOX36NAkJCaxfv55nn32WoKAgNm7cyM2bN0lKSiIuLg43NzeSkpJYtWoVGo2GtLQ0PvvsM4KCgoiIiFD3kZmZydKlS1XtX72PTKvVqm4AuQcXhZ7y+IgrMjw15MCBA+pw05DSBOCt3B82b97Ma6+9xqZNm3B1dVUz8rp3705ERAR5eXkcOHAAHx8fwsLC+Oqrr+jevTudOnXi559/Jj09vSprJlgca5yumRARjh8/zr59+1RJxv/973/Uq1eP2rVrY2try6lTp7hx4wanT5/mxo0b1KtXjzNnzjB16lSGDRtGYGAgLVq0YMqUKdStWxcvLy9OnDjBtGnTeOeddxgwYAAZGRnk5eUZVegFXeHCv//97/Tp04fhw4f/qXPR+4gLCgpo2bIl69evv6cY4jvZsmVLiZpWYI0jftAoKiri6tWrAGzYsIHs7GzS0tLo3r07CxcuZNGiRURERPDTTz+xdu1aFixYAOhKZL3//vtW3+1dsBpdM6EoCp07dyY+Pp7NmzeTmJjICy+8wPTp07l9+zZOTk5ERkbi4eHBCy+8AOgmrTQajaoZmpGRQfXq1WnYsCHZ2dkkJyfTpUsX2rdvz8aNG+nTpw+3bt3i9u3bqviN/ubOyMggMzMTDw8PwFhIREQqVNrkySefLKHvO2HCBPX922+/zdtvv12h61NQUMDu3bvVEkpWHlz69u3L0qVLadSoEZ06dcLR0ZHCwkKOHj3KypUrGTlyJJs3b+bKlSscPHiQpk2bIiI0aNCA4ODg+334DzxWo2tGmjRpYqSwrxfuqF27Nm+88QbDhw9HURSeeuop5syZw+XLl7l58yZRUVG4u7uze/du3N3duX37Nu+//z4ajYbCwkLOnDlDgwYNsLGxIS4uDjs7O1USUm9Yr1+/Tn5+vmp0DXueiqKUEBDRuyUM5fUsyb59+/Dz81OFwg2pqAD8xYsXefXVV9XPsbGxzJ8/n2nTpqnLqqIIfEJCAq+//jrJyckoisK4ceOYOnWqURupBPGiHj164ObmRnx8PO7u7qog/Lhx47h+/TrTp083aq9/oFspH1aja0b0PUrQ1ZkyNHQjRoxgxIgRREdHq8PpTZs24e7uzubNm9m0aRMFBQWMHj2a8+fPk5qaqpa1/vDDD1WFsUuXLqk+Ub1RLyoq4vLly9StW5caNWqovVyNRsO+ffv4/PPPcXd3Z+jQoTz//PNA2fWlDHvJ5mLz5s0mXQtQcQH4Nm3acPr0aUB3DVxcXNS0akOqmgh89erVWbp0KX5+fmRmZuLv70/v3r2NfOr79u0jKiqKqKgoQkNDmThxokWqTjdt2tTI5RMZGUlsbGyJmm1W323FsRpdM2KqR6lHf3O6ubnh5uYGwLFjxwgMDMTb25v9+/fTpUsXOnbsqAaaT5o0CW9vb1avXq0Oy+Pj4+nUqZPRtvPy8oiKilK3q2fbtm3s3r2b3bt3s3PnTnbv3s3zzz9PfHw806ZNY+LEieTm5tKlSxejXHhDg6s37Hrf8b0Y4+zsbPbv38/q1avVZYY+4n79+rF3717c3NxUAfjyUtrkXFWkPLoJlVl1Ojc3l6SkJL766iv+85//MHXq1BKazlaDW3GsRreSuPPmLCoqonbt2ri7u+Pt7W1UbbVx48bMnj2bH3/8ETs7O+rWrYufnx9JSUmcP3+e0aNHA38YwMzMTK5evcpLL72kLr98+TI//vgj+/fv56233uKJJ57g0qVLHDhwgKKiIo4cOUL37t3ZtWsX69atY+vWrdja2pKVlUVkZCRt27bFzs5OfYjcvHmT7du3M3HiRLRaLTdv3kSj0ajlbMqiZs2a3Lp1y2iZoY9YURQjYeuKUNrkHPyRwFEVReAvX75MREREmeXPwbKTjjY2Npw9e5br16+zb98+1eVjiZHQI0VZ8WSVFM/2yKPVakWj0dy13e3bt2X16tWSm5trtPy3336Trl27GmmUpqamyquvvipHjx6VkydPyqJFi2TatGmSnJwss2bNkrFjx4qITj/2jTfekJCQEElKSpJ3331XfHx8pF+/fhIYGChr166VjIwMWbhwobz00kvq9leuXCkBAQEiIlJYWHhfYjLz8/PFyclJrl+/XmJdRfUFPv30U/Hy8pK2bdvK8OHDS1zjvLw8GTZsmLRq1Uo6depkUT3YsnQTKipe9GcxvC/Lc49aUbnn5Ajr6z690KVoV6O4usdd2noDl4B44ASwGnAGzgDeJtofB/oUv28A/AC0BuYBnwI1ABsgFvgE8ACigVvAV0AP4B3gg/t8jQYBP5ez7WWgXinrXIA4wK748zbgjTvavAWsKn4/HNhqoXOyAX4CZpSyfjUwwuDzRcC5Mu7H+/lbP0wvq0PmAUVEtMUvNdNBKcZE27Mi0hqdcZyNzgBXB6YCGxVF2aUoynxFUfRj1XroDDKAE/AEOgP7PPAdUCgihUABcEJEItEZ3b8C89EZXx+gs6IoIYqibFAU5e5+BvMzAthsaoWiKI3010pRlE7oHmC3TLUtpjpgpyhKdcAeuHbH+kHA18XvtwO9TP0Wf4bi7a0FLojIp6U02w28XnwrPA2ki4jFM0lExKpUYyasPt0qhKEBNkRRlGrF63OAg8UvgARFUfoAT6HrySYqitIWsBWRpOI/uTuQISIaRVFyAa2IFBV/3xEIVRSlAdAYOCwiqYqi2KPr7b4mIv9TFOUwOiN8p6GyGIqi1AR6A+MNlk0AEJFVwMvAREVRNEAuMLy06yciVxVFWYJupJCLrvf88x3NXICE4vYaRVHS0T2wypbnqhjPAq8BvyuKcrp42WygmcF57QX6oXsI5gCjzbh/K5WA1eg+BBj2QooNsOgNjIgko+sd6bla3PMDXfG8uhQbE2AP8JaiKHOAv6BzbVxVFKULkF9scB9HZwTCReR/xd+7jK63XGmISDY6o2e4bJXB+xXAivJsS1EUR3Q9WVcgDfheUZS/iMi35jviuyMiRymroCHqg3dS5RyRFUtgdS88ZNzpkgCdITYcCovIdYO2G0TkreJVO9D19Baj6ynqe3stKR6ai0gB0Aq4XrztJkA2ul5XVeV5IE5EUordKjuBzne0uQo0BSh2QdShbHeFFSsmsRrdRwBThliP3jVRPFzvhs6nOAvIAA4VN4sD6imKskNRlF6AJ7reLegMchFQlRVq4oGnFUWxL3449QIu3NFmNzCq+P3LwMHSrqkVK2VhdS884hi4JjToIh6Go/NfLgV2Fbc5AnRQFMUZnYFtBMQUf88H3X10uxIP26yISKiiKNuBX9FdhwjgS0VR5gOnRGQ3uofRRkVRotGd659TFbLyyPL/nK8n6BYzirUAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"needs_background":"light"}},{"output_type":"execute_result","data":{"text/plain":["(150,)"]},"metadata":{},"execution_count":62}],"source":["from mpl_toolkits.mplot3d import Axes3D\n","fig = plt.figure()\n","ax = fig.add_subplot(111,projection='3d')\n","\n","ax.scatter(X['Sepal Length'],X['Sepal Width'],X['Petal Length'],c=Y.values.ravel())\n","\n","ax.set_title('The Sepal Features')\n","ax.set_xlabel('Sepal Length')\n","ax.set_ylabel('Sepal Width')\n","ax.set_zlabel('Petal Length')\n","\n","plt.show()\n","\n","Y.values.ravel().shape"]},{"cell_type":"markdown","metadata":{"id":"xDaBOVoXlW1T"},"source":["Looking at this 3d scatterplot, we can see that the versicolor and virginica is actually much more separable, unlike what was indicated in our previous 2d plot. We can therefore conclude that these three features are enough to implement an effective classifier."]},{"cell_type":"markdown","metadata":{"id":"r7baq5iVlW1T"},"source":["### Heat Map"]},{"cell_type":"markdown","metadata":{"id":"5E9kfww_lW1U"},"source":["Another plot for visualizing density is a heat map. Heat maps are a bivariate distribution which assigns colors to different regions depending on the density (or frequency or magnitude, depending on which feature you are trying to visualize) of values in that region."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"LOBtZOoMlW1U","scrolled":false,"outputId":"f501c5da-6f11-4d2d-b733-8d6b566c5f3f","colab":{"base_uri":"https://localhost:8080/","height":295},"executionInfo":{"status":"ok","timestamp":1646678821959,"user_tz":300,"elapsed":768,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}}},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["Z, hmx, hmy = np.histogram2d(X['Sepal Length'],X['Sepal Width'])\n","\n","plt.title('Heatmap')\n","plt.xlabel('Sepal Length')\n","plt.ylabel('Sepal Width')\n","plt.pcolormesh(hmx,hmy,Z.T)\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"W5AKBPeBlW1V"},"source":["### Correlation Plot"]},{"cell_type":"markdown","metadata":{"id":"EFvIyI0vlW1V"},"source":["Similar to a heat map is a correlation plot. However, instead of looking two variables to find their corrleation, we examine all the variables to determine which are correlated. There are a couple of ways to do this: one with seasborn and another with just matplotlib. Try to understand both, but feel free to use only one."]},{"cell_type":"markdown","metadata":{"id":"vB1OpFrhMHb7"},"source":["*Method 1 (seasborn) *"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"-4KcyiZ4lW1V","scrolled":false,"outputId":"70c75a51-84a6-4041-ea5b-6f9c63ad9a80","colab":{"base_uri":"https://localhost:8080/","height":269},"executionInfo":{"status":"ok","timestamp":1646675707473,"user_tz":300,"elapsed":140,"user":{"displayName":"Kelly 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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["corr = X.corr() # Get the correlation matrix\n","sns.heatmap(corr, annot=True) # Although it is called heatmap here, it nonetheless shows the pairwise correlation between features.\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"W34oRofkMHb7"},"source":["*Method 2 (matplotlib)*"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"jROBr33NMHb7","outputId":"07902b7d-64d4-4ea5-c3ce-6cfea6195436","colab":{"base_uri":"https://localhost:8080/","height":315},"executionInfo":{"status":"ok","timestamp":1646675707681,"user_tz":300,"elapsed":210,"user":{"displayName":"Kelly 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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["corr = X.corr() # get the correlation matrix\n","\n","fig = plt.figure() # Create a figure instance\n","ax = fig.add_subplot(111) # Add a subplot to plot on\n","fig.colorbar(ax.matshow(corr, cmap='RdBu', vmin=-1, vmax=1))\n","#Plot the correlation matrix: use the 'Red-Blue' color map and set the maximum & minimum values entries can take (+1 & -1, respectively)\n","\n","ax.set_xticks(range(len(corr.columns))) # Set the ticks on x-axis to take positions in range(0,4)\n","ax.set_xticklabels(corr.columns) # Label the x-axis with names\n","for tick in ax.get_xticklabels(): # Rotate the labels 45 degrees (so they don't get clumped up; try running this cell without this code)\n"," tick.set_rotation(45)\n","\n","ax.set_yticks(range(len(corr.columns))) # Set the ticks on y-axis to take positions in range(0,4)\n","ax.set_yticklabels(corr.columns) # Label the y-axis with names\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"mW89ENxMlW1Y"},"source":["_____"]},{"cell_type":"markdown","metadata":{"id":"MN1SDoZplW1Y"},"source":["## Problem 2: (3 pts)\n","Download the temperatures dataset from the course website and make sure it is in the same folder as this file. Now pick one of the above graph types to visualize one or more columns from the temperatures dataset. Hint: the `drop_duplicates` function may come in handy to reduce the number of points."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"oQMSgUzClW1Y","executionInfo":{"status":"ok","timestamp":1646675830142,"user_tz":300,"elapsed":1589,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"colab":{"base_uri":"https://localhost:8080/","height":204},"outputId":"d478532d-811e-4ba5-ddac-c882d95909cb"},"outputs":[{"output_type":"execute_result","data":{"text/html":["\n","
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CityCountryLatitudeLongitudedtAverageTemperatureAverageTemperatureUncertainty
0A CoruñaSpain42.59-8.731743-11-0110.7791.942
1AachenGermany50.636.341743-11-016.4251.628
2AalborgDenmark57.0510.331743-11-016.0681.737
3AberdeenUnited Kingdom57.05-1.481743-11-018.7581.886
4Aix En ProvenceFrance44.204.471743-11-017.4781.866
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\n","It's fairly straightforward to do so: Use the attribute `color` when you're creating the barplot, and specify the color of choice! Here's an example that turns the bar plot black."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"ipLtQjNHlW1a","colab":{"base_uri":"https://localhost:8080/","height":281},"executionInfo":{"status":"ok","timestamp":1646675708715,"user_tz":300,"elapsed":194,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"7c8ac63e-830d-4f70-df46-d575872dae7a"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["bar1 = (X['Sepal Length']).mean()\n","bar2 = (X['Sepal Width']).mean()\n","plt.bar([0,1],[bar1,bar2],align='center', color='black') # Try playing around with this!\n","\n","plt.title('Average of Sepal Features Bar Graph')\n","plt.xticks([0,1],['Sepal Length','Sepal Width'])\n","plt.ylabel('Average (cm)')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"irsL5blVlW1b"},"source":["We can also change the color map, which changes the color scheme for a variable that is being plotted using color.\n","

\n","Let's look at our previous scatterplot example and use the attribute `cmap` when you're creating the plot, and specify the map of choice!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"tCvGy4FhlW1b","colab":{"base_uri":"https://localhost:8080/","height":295},"executionInfo":{"status":"ok","timestamp":1646675708941,"user_tz":300,"elapsed":229,"user":{"displayName":"Kelly 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x3GY5f8qvqEZ8/bVuorDorGXmV9SCp3011ElnLyJbpNQIYjonTZ5dmbpszvZLILakqwBq2gSZASdhPcSj9F9BgmEjmXvj3WPbQBzCxbILFFZQvybh0P4QFV1yP7R/q3CG2j8I5iymsW5AzXcEYgxlFKGBz2uzUzdWl1YVUFAQnQaOjpzQvwJkNZQR9FrYlWALVhUHOW5BSNdVgmBTyKus4/aPfJVQ2CzsQwvIFKFmwjLM+9aOsvYmKG05k9Qe+QqCoDDsYxvIFqDjpdNZ+9H9yrq/xJpqhNLb3kXBd6otD2NPIi2g4rio9MQe/JYT80/c6DMcvqkrvoX3YwRChkqMr26uuQ8+hffjzCgkWHd0sfjRvIhNnMANp7YnR1BXBVQj5baoKrDH5LKsqzd0x9rT3IkBDWR4V+UNnFpG4w87DPXRGEpTnBWgoy8Nv534iaolQGDQfY8PURUTIr559bDIsm4JZc3OkUXrMt2iGsampky0Hu3CSM8Ldbb3MLQ1z2uzSrA3Cur3t7GrrxUm68+xs7WVJVQHLk7mH2vpiPLCtGVcVR2Fvex+bD3Zx6eIqwubp3WCYkpg9gxlEdzTBloOdA4YAPN/8PW19tPamr0EwnNae2BBDAOCo8tKhLrqini/003vaiLueIQBIuEok7rBhf0fuLsZgMOQUYwxmEE2dkbTHHVfZ2545BmEwjR19QwxBPwrs7+gj7ri096X6+WvyvQaDYWpijMEMwrIk7VKQkH2tAduStP79gnhtkhSYrn+TM8hgmLIYYzCDqC8Ok855zBJoKM3LSsbc0jzS2w1ldkkYn2VRUxhKsQe2wILy/LGqbDAYJghjDGYQQZ/FWfPKsC3Bl3xZ4qWbLswyUKsg6OOU2aXYwoAMW4QzGsoI+rzN4dPnlFIY9A202SJUFARZOqtoPC/PYDAcAybOYAYSd1z2d0ZwVaktCg0M4mMhmnDY3xnBEqG2KJTiNqqqHOqO0h1zKA37KcubfimyDYbjCRNnMIH0xhyae6IEbIvqwuC4rJE7rnKgK0LCVaoLgmkDrToicdp64+QHbCryAyn7BH7bYm6Wy0KZCPps5pVlXvYREaoLQ+Q2e4rBcISuxh107N5KXmUdpYtWmjoWx4gxBjli4/4Oth7qGjAAtiVctLCS4nDu8uS09ER5eEfLQLZOV5XlNcWcWF048Pfju1pp6owMfDHyAzYXLqw00bmG4wY3EWfdf32YQxsfRSwbFPKq6jnzk/971NG5BrNnkBP2d0Z4qbkbVz2f+oSrRBMuD+1oIVfLcI6rPLyjhZijA324Ci82ddLa48UIbD3YRVNnFGeQHp2RBE+/Or1qFRgMI7H9dz/k0MbHcGNRnEgvTrSX7v07Wf+9T0y2atMaYwxywPbm7rS+9zHH5XCOcusf7E6fv99RZUdrj6dHS8+QgDLw/PsPdEWIO25O9DAYJps9D9yFGxsaM6NOgkMbHycR6ZkkraY/xhjkgLibfqAVIJGhbaw4I8jpH+jTGaR+RmgyGKYVTix98CQIbsIUNjpajDHIAXNK8rDTbF4pUJ6fm9TQVQVB3DRLTj5LmF0SBqC2ONW/Hzx30OlWvMZgyET16vMRO3W7M3/WHAIFpv710WJGiBwwvzyfkrBvIIpX8Movnjq7JOvI3tEI+mxW1RVjy5EIYJ8lVOQHqE8agxW1xYT8FnbyBCsZC7B2mhWuMRhG4sQ3/wvBojLsQAgAyx/ADuWx6j2fn2TNpjcmziBH9Of3aezoI+SzWFhRkFNPon4O98bY0dpD3HGZXZJHXXFoiAtr3HHZ2dpDc0+MoqCPhRUF5JkykIbjjHhvN3sfuYfD256noGYecy96M+Ecl4E83hgtzsAYg+OQhOvS1hunMGQT8qX3Hu6MxHFcpTRDMJjjKpGEQ8hnY+dodjMcVaUv4WKLmGUsg2GcmbSgMxEJAY8AwWQ/d6vqp4edcz3wZaAxeejbqnr7eOk0E3hsVwt7249ssBWHfFyyuApfsszeoa4ID+9sJZHcUbYE1s4pZW4ygExV2Xygk62Hur08RgInVhZwck1RToN6mrujPLXnML1xB4CK/ABnNpSbegcGwyQx6uOYiLxBRF4RkQ4R6RSRLhHpzEJ2FLhQVVcAK4HLRGRtmvPuUtWVyZcxBMfA8/vahxgCgI5Igvtfbga8GcMD21sGDAF4XkZP7GmjO1mLYFtzN1sOdpNwFUcVx1W2Nnez9VB3zvTsiSV4aEcL3TEHVz0dmrtjPPBKc87iMgwGw9jIZm7+JeAqVS1W1SJVLVTVUTOOqUf/COJPvsw3fRx5pSX9gN0eiRNLuGxq6sr43hca2wGGVEHrx3GVlw5mfu9Y2dHSk+IZpUBf3KG5J7siOwaDIbdkYwwOqurWoxEuIraIrAcOAfer6tNpTrtGRDaKyN0ikrZQqIjcICLrRGRdc3Pz0agyIxgplqAvnqArmtkHuyfmLddEE+njGaKOm7On9q5oIqOuvUk9DAbDxJLRGCSXh94ArBORu0TkLf3HksdHRVUdVV0J1AOnicjJw065D2hQ1eXA/cCPM8j5vqquUdU1lZWVWV3YTMRvZ17TLwz6mFUYytheVeDFQxSF0m8jFQV9OdszqCwIkE5VVaUsL/ceWAaDYXRGmhm8LvkqAnqBSwYdu3IsnahqO/A34LJhx1tVNZr883bglLHINQxlTX36gJv5ZXlYlsWC8jz8aTyDLIHltd7K3+q6kpQAOluEVRlkHw3zyvIJ+uwhHz5bhNriMEVZ1lUwGAy5JaM3kaq+A0BEzlLVxwe3ichZowkWkUogrqrtIhIGXgN8cdg5NaralPzzKuColqMMHg1l+QjwXGMH0YSLzxKWVBWwrKYYAMuyuGppDY/uaqG521ubL83zc8688gFvo1lFIS5YWMHGpk46InGKgz6W1RYPzBxygd+2uGxJFS82dbKvvQ/bEhZVFnBCZUHO+jAYDGNj1DgDEXleVVePdizN+5bjLfvYeDOQX6jqLSJyC7BOVX8rIl/AMwIJ4DDwXlV9aSS5Js7AYDAYxs5RxxmIyBnAmUCliHx4UFMR3gA/Iqq6EViV5vh/DPr948DHR5M1HeiOJtiwv4ODXVH8trC4qoBFFQVjWmff197Hs3vbiCRcLIF5ZXmsqS/BsrIPyNp5uIfn97UTdxRLYEllISvqigfaE66y5UAnOw/3oqrMKQmzrKaYwKCgr4NdETY2ddIZSVAY9LG8tmjE/YZ0bNzfwUuHunDU28tYVVvMgorp9+SvroPuewj2Pw5ODMqXIvNeiwSzL+HpxCJsu/d77H3kHtRxqF17OYuveT+BgiP/l5Ytz/DSL75J1/6dFNQ0sOTvb6JyaTpPbINhfMg4MxCR84DzgRuB7w5q6gLuU9VXxl27NEzFmUFf3OEPWw8Qc47cS1uEeWV5nDqnNCsZTZ19PLSjNeV4dUGACxdVZSVjZ2tP2toF88rCrJ1bjqrywCvNtPbGBrx5LIH8gI/Ll1RjW0JTZ4RHd7YOcS+1RThrXhl1xeGs9Hh6z2F2Hu5NOX7q7BIWTjOD4G7+EbRuBrffE8uCQAFy2scR3+j3Q1V5/D/fTvuOTbhxb3tMfH7yKuu54Iv3YvkCHNrwGM98/YND0jLbgRBrbvo61avOz/1FGWYko80MMj5yqurDqvoZYK2qfmbQ62uTZQimKi83dw8J5AKvzsDOwz30xbNzlXx2b3va4we7Y0QSiaxkPN+YXsauw30kXJeWnhhtffEhbp2uesZsX0ffgIyUOANVXmjsyEoH13XTGgKA9VnKmCpo76FhhgDAhUQf2pTOSzqVwy8/T8eurQOGAEATcSKHD9L07F8B2HTnrSn5+Z1YhE13DNliMxjGlZGWie4jGSSWbqlDVa8aP7WmF80ZCs/YInT0xbNKsTCSf31zV4zZpaNnDok7mfd/eqIJDvfG0qbBTrhKa0+MuaV5dEXSG56uaAJVHXXZqyc2Qt2F6VZUoXsfSJrnJTcOHTth9vmjiujYtRl1U++pE+2lbftG6s64gu6mXWnf23Ngd1b33GDIBSMtRn8F+CqwC+gDbku+uoEd46/a9KEo6EtbR8BVrwZxNowUI5Bt9tOR8smF/T7yA74hGU77sS2hIOjpmSlhXNBnZTUohQOZP1LjlO9u/AiVkTZoXmzIy27pLlxZh2Wn/v/sQJj86jkABIvK0743UFRmDIFhwhhtmehh4CxVfbOq3pd8XQecM3EqTn2WVBWmDLKWQHm+n8Is/eZPrkm/IZnvt7P2vc/kmlka9hPwWdQWh/DbVorhsgQaSr1EdUtnFaZkKbVFOKm6MCsdfJZFeQbjtagiPysZU4bCuRCq8Ab/wYiN1I7qXQ1A9cpz8eUVIMOcACyfn/qzvHCdRVe/BzswdP/BDoZZdNUNR6+7wTBGsnFTyReR+f1/iMg8YJp9q8eX4rCfc+eXkx+wscQbXOuKw5w7vyJrGYsrC1k8bLAsDNpctiT7HO2r6kqYWzp0UCkN+7n4BC9q2xLhNSdUUpEfGNCzJOzn4kVVA95EiyoKOLm6EJ8l2MniOCfNKmTxGGIALjyhkrJhBmFOSZjV9dltpk8VRARZ8T4oPcEzCGJDuApZ8V4klN21WD4/Z9/8f5SesAqx/YjPT9HcEznr03fgz/ceAOZdch0nvP69+ML5WP4gdiifRVffwPzL/2E8L89gGEI2cQaXAd8HduIV8ZoLvEdV/zz+6qUyFb2J+lHVgWAvn310+fld16UjmiDPf/SlKhOuS1c0Qb7fN8RldDAxx0U187KQm7yWoM9Ku7SUDbGES0/cc0/1jcE9diqiiQi4CSRw9N5Q8d4u1HUylmZ0E3Fi3e0ECkqwfCYS25Bbjrmegar+SUQWAUuSh14alELCMAgRIXSM+fgty6I0nL7gTDbEEi47Wrs51B2jOORjUWUB+YEj/2ZV5WB3lJ2tPbgKDWV51BWFUtamLZFjri0Q8FkEfEd/LVMJ8Y0tziId/rzMS22Rlj3s/s036NizjaI5i2i46ibCVfOOuc+xcmjj42z52VeItrdQung1y6//FKESkw9sJjBSnMGFqvpgpqR0qvrrcdUsA1N5ZjDZ9MYc/vzyQeKOV4vAAixLuGBhBRX5XjqJFxrbeaWlByfp2eOzhNqiEGc2mM3KyaJr57M8ess/4ToOruNi2RaWbXH2J2+jaNHEBZ5tu+e7vPTLbw45JpbNBV/9PQXVcydMD8P4cNRxBsB5yZ+vS/MaU6I6w8SwscnLSdQfJ+DiuY0+vccLROuKxHmluXvAEJBs398ZMXUEJpEXb/skiVgc1/Hccl3HJRFLsPH2T06YDm4iwUt3/1fKcXUdnvv2RydMD8PkMdIy0T0iIv0J6wxTn8aOSNrqQd2xBNGEQ1NXNG17wlUa2/tymozOkD2tr+5Le/zwvv24rjumdCRHS8uWJyHDKkHnbpM/ciYwkjG4HZgvIs8BTwCPA0+qau5KXhlyis8SMsWu2SL4LMESSQk8swC/KUg/aVg+GyeeGphm2/aEGAKAQGH6WAfwlooMxz8jxRmswStK8zm8esYfAraLyAYR+e8J0s8wBhZV5qfUIhCgpjCEz7aoL0mfS0dEaCjNmwANDemYvXoN1jDvM8u2qFsxYmLgnFIy7yTsUPrPQN2Zr50wPQyTx4iPHaraq6oPAd8Evg58By/G4LKR3meYHJZUFVJXHBqID/BZQknYz+lzPZ/4gG1xzvzygTYvlkA4fU4JBcHR010YxoeTbvgmZbPrsGwLn9+H7bMprath6Y2pa/jjyZmf+jEyzKW1oG4+K979nxOqh2FyGMmb6Dq8FNYr8WYGzwJP4y0VHZgwDYdhvIlGpyuaoK03Rn7QR1nYn+Il5LjKwa4ILlBdEMR/lDERhtzSue0JunZvpGDucooXnzkpOriuy6t/+yXdTbupPe0Syk5IyUJvmKaM5k00kjHoAl7GS1/9iKpuGx8Vx8Z4GYOeWIIDnVFsS6hLpm0YK12ROAe7owRsi9riML5haR1iCZfNBzvpizs0lOZRm2VK6LGgqhzujXO4L0Z+wMeswuBRB43NFLR7P3TugkARlJ00ZdfII827OfjE3YhlUX32tQRLa4e0q+vQvOkpeg/tpWjuEkoXrhgXd+Hupt20bHmGQEEx1avOww4MjcFwYlEOrn+YWFc7FSeeSkFtarzEsd5zVaV9x4t07N5CXmUdlcvOnLL/t6nCsRgDG1iBNzs4E1gMNAFP4s0OHsy9uqMzHsZg04FONh/oRBD6vzvnzC/PuqCLqvLcvnZ2tvZAUoYIXLiwkrI8L+hq9+EentwztNZAYdDHFUuqcrZJ6LjKwztaaOmNQTLbZdBncfEJVeQdYwDZ8Yiqi275iZemGrwMpVYAWWJeb+wAACAASURBVPVBJMtEdBPFrl99gc333jkwuKsqK9/2AeovfS8AkfZmHvvM24h1tOK6CUQsSuYtZe3HbksZrI8WVWXTjz/Lnr/9ykvVYdmIZXPGJ35IyfylAHTs3sITn3sn6iS8wkCqzD73apa/82ZEJCf33IlFefrLN9K2fQOqLmL5CBaVcvanf0qodGr936YSx1LPwFHV51X128nkdFcAfwLeAdyfe1Unh5aeKFsOdOGql7c/4XqvR3e2knAzp2MeTGNHhJ2He3EGyYg73sCsqrium2IIwFvO2dDUmbNr2Xygk5aeKI6rOOq5jPbGHJ7afThnfRxP6P4noXWLl5LajYMThXg3uvmHk63aELr3bGDzvXfiOi5OwsFJeMFp6+/8NpGWPQC88N1P0NfcSCLSgxuL4kT7aNvxItvu+Z+c6XHguQd59eF7cONRnFiERKSHeG8nT3/5RtR1Udfl6a+8j3hPB4lID04sghuPsu+x+2h61hsycnHPX/nN9zi87QWcaJ93rZEeeluaeP6/P5aza52JZDQGIrJcRG4UkZ+IyHa8PYOzgW8Bp0+UguPNztbelGIu/RzozC7rxvbWniGBXP0kXKW1N8bu9r4R+u/JTtEs6DdIg1GguSdK3MnOsM0omp4Ad3iwnUJfK9qXWnVusmh88A7SzuAFmh7+KYloHy2bn0LdoX7FbjzKqw/lLlHAngd/gRNN/Sx7hmcjHbu3EO9N9Tx3on3seeAu748c3PNXH/71kGJBALgOrS89S6Ivd9+nmcZILiQ/Ah4D/gh8SlVfnRCNJph0g/hA2yhJ/PpxR5DhuuCMUHQmyy6y0yODMM1xP8cNaYrOeMgIbROPm4ih6T5j6g34jDCDdZ14xrYx6zF8AO5HJKmji6QrBoS3tOMJOfZ77iYyX5PrTJ3/23RjpGWi1ar6IVX92fFqCADmlqZu9II3sGa7Z9BQlpfi399PeX6AuSP48NcU5WY9F2B2STjtP7Q45M+YvXRGU3UKSJrnIX846+I1E8GsM67G9qXf86k+8xp84XyK5y6BYZUqxPZRs+binOlRf9ZV2MF0Tg9K6cKVlC44GdIVTwqEqD/7dd4fObjnNaddgtipMgrrFxIoKM5KhiGVGT9C1BSFqC0KDRgEwYvWPaW+JOsU0g1leZTnBwZkWEkZZ8wtw7aEgM9i6azUjJU+Szh1du5y/C+vKSIcsAf0sEXwW8LaudOrjsBEIbPPg/xqsJOZVS2ft5l54j9MqaR9pSdfxOw1pw0xCJZtsfCCSymYsxyAlTd+Hl9eAVZys9gOhgmVVnHitR/OmR71Z7+O0gXLsYPew43YfqxAiFXv/SK2P4DlC3DK+7+EHQgNxCvYoTyK55/MnPNe770nB/f8xDd9iHD5rIEgOSsQwpdXyKr33pqza52JjFrPYKoxHt5E/WmdG9v78NkW88rysq4u1o+rSlNnhP2dEUI+i3ll+SmBXM3dUTbu7yCScKkvCbN0VmHO8/wnXOXVtl5ae2MUBnzMK88jmOGp0uC5Y9KyEW3fDsESZNZpSHBqPl22vvAH9j/2K0Rs6i+4jpKl5w9pj3W3s/eR39B9YDel85dRd+YVOfMk6kddh4PrH+HQhkcJFJYx57zXk1dZN+Sc3uZG9j5yL9HOVqqWn031qvOGuH3m4p47sQiNT/2Jtu0bKJg1l9nnXE2g0Dz0jMRRu5ZOVaZy0JmrSlckgd9nHbUrp+Mq3dEEQZ+VsTZCS0+UWML1YgimedEYQ/aoKj0H9iCWTX717HHrp+/Ay8Sat5O38Bz84fTlWEejfduz9DW/SsUpl+EPmcKIU4GjLm4jIveRthq4h6pedYy6HVe82tbLs3vbcVVxVanID3BWQ/mYit280tLN+sYOwDMsNUUhzphbNhAA19IT5cHtLUM2vZfXFLF01tF9YQ3Th7btG1n3rQ8T6/A8bsIVtaz5529QVL8oZ33EOg6w/stv5dCeA0hyqXHJBRew4PpvZS2jc89mHrv5rSSi/ZvNn2Lu2Zew4n3fHPF9hslnpKCz89I2JFHVh8dFo1GYijODw70x/rqteYj3kQCleX4uXZxdDeOmzgiP7mwdIsMSL8ncuQsqcF2XX2zYn9Y6X7CwIuvNbsP0I9bdzl9vuniY26TgLyjmkm//LWdLQc986mIO7WkaqKsAYPssVr/lndRc/pGsZPz+H5fjxFO9fVa8/cPMvfzdOdHTcHQcS9DZwyO9xkfd6clLh7pS3FAV6OhL0NGXnWvfloOdKTJchaauCJG4wyutPRmnaf2zCcPxSePjv8d1hucmV9xEjKZ1D+Skj8ih7RzaPdQQADgJl+33ZxercPCZ36U1BAAv33vbMetoGF9GTVWZrH/8BeAkYOARRFXnj6Ne04reDEUELIG+uENxePTN6L54JhlCJOHSE83sP53pvYbjg762g7ixSMpxNx4n2tackz5izTsRW7zyeMOI9GQOmhxM176XM7bFI9nJMEwe2ew+/i/wP0ACuAD4CXDneCo13aguDJEmVAFHldK87LySqgpCZHKsKwz6qB8hqV1VwfFRdN6QnrITVqWtNWD5fJQuWpGTPvIWnIGk+wQKlM+uyUrGrLWZtxGLasdvw9uQG7IxBmFVfQBvf2GPqt4MmGoXgzihsoCgzxpiEGxLOLGqMGu3zqWzCvHZQ7+OtiWsqC3GtoSqwhCFwVRZApxSX3JsF2CY0lSvPJfC+oVYgSNlSe1AiPIlayhdtDInffhChZz4mtdgD46tEfD5fZzwluxqMRfULqKsYUHathU3fjkXahrGkVFdS0XkCbycRHcDDwKNwK2qunj81UtlKm4gA0TiDlsOdtHY0UfQZ7OkqoDZJeExBS/1xBJsPtDFwa4IYb/NSdWFQ9Jcu67Ls3vb2dPWiwuUhf2c2VBuCtPMAJxYhJ1/uoO9j/4Gy7KZc8Ebabj4Wizf2OJhRuPA/d9kx59/SV93H+Wza1h07ScoWDC22gqbbvsoex77M66ToLBqFqve/1WKF5i6CJPNMccZiMipwFagBPhPoBj4kqo+lUtFs2WqGgODwWCYyhx1nEE/qvpsUpAFfEhVU9MSpu84BDwCBJP93K2qnx52ThBvD+IUoBV4s6ruzkb+WNh1uIdNTV5RmaKQn1V1xVQPcsXsiSV4obGDps4IlggLyvNYVuMtz0wkuw738NzeduLJOIL64hBnNZQNBJY5rrLpQCc7WnpwkrmTVtcXkx848m881BXlhf3tdPTFCfttTp5VxLzyiQ/6cQ+sgz1/gmgH5FUjC65GSrP3iXddF7beAc3rAQU7BAvfgFVz2sA52nMQ3XEvtO8AXxDqzkFmXzSmIidtmx5g8x2fp6PpIP5QgAUXXcW8N/3HkXsej7Ht199hz4O/xIlFqFp+Nkvf9u9Dom6bn7mHLT//Ol3NrYQK8lj02uuYe+W/ZK1Drnj8s++gdUvyGU2EhgvfzPJ/OvKV00ibd78ObwXxQ83pSMPliO3NLlzXZfevPseOv95LrC9KcXUVS9/+cUqXv2ZARlfjTjbfeSutL63DF8pn3qVvZeHr3oWVJlfQ0ZLNPW/Z+gxbfvplOvdtJ1RSyeJr3s/sc67OmQ7Zsvex+9j26+/Qd/gghXULWHrdR6lYeiSpc2/Lfjb/9Esc2vAoti/A7POvYckbP4g9aMlvqpDNzGAN3iZyf3KdDuCdqvrcKO8TIF9Vu0XEj5cB9abBMwoReR+wXFVvFJFrgder6ptHkjvWmcErLd28sK9jiNumLcL5CyqoKgwSS7j8busBoolBvtUClQVBLlhYmXU/x8q+9j4e3ZWawrcs7OfSJV6swkM7WjjUFRmSpjpoW7z2pFkEfRbN3VH+tr1l6LVawoqaIhZXpeZGGi/cxsdhx71evvp+LD+y/D1IycLsZDz/Ta8S1nBOuh6raiUaaUefvRWcQV42lh8qV2Kd+Nas+ujc9gSPfvYGnMQRbyzbZ9Nwxjksfa9XB+CpL72Hli1P4/Zn3RSLQEERF371jwQKSmhZdx9P/9fHU2QsueKNLLj25qz0yAUPf+pNdOzclHK84ZK3svz6T6HxXvSZz0O8h4FYUssPxfOxVngFcrbe9kF2Pvq3lGs5+xP/Q/GSc+hrPcDf/u11yXgHT4YdCFFz+qWszmFeoNHueetLz/HUre/CGeRhZQfDnHjth5l/6dtypsdo7P7rz9l855dwYkc8paxAiLX//j0qTjyNeE8nD3zkcmJd7aDe+GL5g5QvOYUzPv6DCdOzn6OOMxjED4H3qWqDqjYA78czDiOiHt3JP/3J13DLczXw4+TvdwMXSQ4zhKkqG/en+u87qqzf3w7AjtYeEs7wdmjujtHWOzzv+vjx3L72tMcP98XpjXnxCoe6oin1ChKuy45W7zZv2N+Req2u8uKBzozprXONqgu7fj/UEAC4cXTnfVnJcGPd6Q0BwHbP5133PZS2Dw69gEbT38vhvPyLr+AM8993Eg67nniEeFcrXfu207LlmSODEoC6JKIR9jx4NwBb7/rakMGzX8a2P/86p+mjR8KJxdIaAoDd9/8MAD3wtFdIZvBX0I1Dx060u5F4b0eKIQDvWl6+6ysA7Pjjj5OpqI/IcGIR9j/1R/oOH8zJtWR3z78+xBCAVzPh5bu/lVLTYbxQ12XrL745xBAAuLEIW3/2NcCru+BEegcMAXhpwA+//Dwde16aED3HQjbGwFHVR/v/UNXH8NxMR0VEbBFZDxwC7lfVp4edUgfsTcpN4M06yrORnQ0xRzNWK+uIeJdwuDeWtm6BCLRHJubLDCPHCrT2xGiPxNNlB8ZRrx2gI4O+jqvEEhNU3CbRlxx00tCT5YDRuTtzWyz5fNG5BzTNPbN8WffT0bg3bcIVy7LobdxK595taZec3FiEth0bAOhuSV+QxUk4xNr2Z6XHsdK5b4Ty5P0DUeerqcYTvLKT3U307X8pbfppgI6mRgDat29E0xg4yx+kq3H7mPVORzb3vGtf+r6cWNR7Cp8A4r2dOJH0hXS6GncAXgqR4UYLAMuic++UKCk/hGyMwcMi8j0ROV9EzhOR/wYeEpHVIrJ6pDcmS2euBOqB00Tk5KNRUkRuEJF1IrKuuTn7IBu/LRmLwRcEvA9ccdifNkYAPP/+iWKkegOleQEKg760EciWMBDUNnjvYOg5MnH1DOyQNyCnI1SWnYyC+sxtvqR3VX4NaT++moBwds8TBRXplwFd1yU0ayH51XOHPNX1Y/kCFM0+AYC84vR5ocQS/EXZpSI5VvJrGkZolf6T0tcRUIVwBaHqBWiGB6eC8goACmcvSj9Qx2PkV80Zo9bpyeqeV6X/fIht48+fmDxdvnABlj99fE//3kbR7EVY/jR7Awr51bm5X7kkmxFiBXAC8GngZuBEYBXwVeAr2XSiqu3A34DLhjU1ArMBRMSH56mU8qilqt9X1TWquqayMvt1fEuEE6sLUzaCbRGW13opcxeU56cUprHEMwTleRMXzLWiJv2HuDBoUxD0URr2UxJKNVyWCAsrCgAvad3wa7FFWFJZkNEo5hqxbJh9obcePURRPzLviqxkWKESyMswkCZlyOwLUo2O5YOSRUi4Iqt+Tnjjh7CGGUnLtqhfvpJgySyK553kDYDD3Dctn5+Gi7ytrcVveE+KDNtnM//si3KePjoTgXABeZXpB8ia0y8FQGrPSL1fYnsFZYrmEiisoH7laix72P3wWZxwzQcBWHDF9SkDoOUPULH09JxlUc3mnnsbsEPvrR0IseDy63PuapsJy/ax8Mp/Sin2YwdCLHnTTQDMufBNKfpYPj8FtfMoXZibYMFcMqoxUNULRnhdmOl9IlIpIiXJ38PAa4DhC2W/Bf4x+fsbgQc1xzm1l1YXsrS6EH8yoCvsszhtTgl1Sf/9sN/m4hOqKM/zI3iGoL44zIULKye0wMmCigKW1xQNCTorDfu5LLl5LCKcv7DCq2Ym3vNeWZ6fixdVDqTLri0Oc/qcEsJ+CwH8lnDSrEJOzmBoxguZewnMvST5FG9BoAgWvxmpGMPE8JSPQOHgpycL5l6GVXeW10deJbLivckZgngDXfWpyNJ3ZN1F2YrLOPWGT5JXXACS3Dw+/SyW3eRt7okIZ3zsdmpPuwTx+RHLomT+Ms76jzsIlXpVuWad+3ZWvOV9hPK9mBJfwMeC8y9h8Tu/mv215oALvvYn8qrnDjlWvnQtp970de9aAoXIqg8l76l4hqBiObLifQOf82Ufup15Z5zrFdERyCvKZ827Pkb5ai/GtKCmgTM+/gMKZ5+AWBaWP0j92Vex5qZv5Ow6srnn1avOY+UNnyNUWo1YNr5wAYuuvoHF17w/Z3pkw6K/u5FFf3cjvrxCxLIJllSy4l23MOuUCwAIFVdw9qd/SsmC5YhlIbaPWWsu5oyP/2BKFU/qJxtvomrg80Ctql4uIicBZ6jqiNvhIrIcb3PYxjM6v1DVW0TkFmCdqv426X56B95M4zBwraruHEnu0cYZqCqOep5Cmf4RjquIMGFP0ZmIJlz8FhlrFbiqqJLR9TWba50IVF2vrq3lP2o9XDcBiShWILN7rDpxsOyM9XezIdHXiRXIy+gi6ToJ1HEyugS6rosb7R5RxkTgxGLEug8TKK7EttO72KqbACSjC67rJHBjvfhGqGXgxKJYPt+Y3HjHymj3XFVx41EsXwCZxLoe6rq4iRiWP5h5bInHPAM6iZ+NXASd/RHPe+iTqroiuZzzgqouy62q2TEeQWeOq+w+3Muetl58trCooiCntYkNR4d27UP3PQyRw1C6GKk7C/EfMQrqRNH9T0LrJvAXIHXnIiW5z5+oh19G9z/ubY5XrvQqc9lHpv8a60L3PQIdO7yYivrzkPxZR9pVoeVFtOkp0ARSfRpUrRoykPY2N7LzTz+hfedmSuadxPzL/3GIX72q63lKHXgGxEJq1npP9mMwsuom4MCz6KHnwRdCas9Eyk48xrszNVFVDqx7gD0P3Y3G49SfezV1Z1wxqYPxZJMLY/Csqp4qIi+o6qrksfXJjeEJJ9fGwFXlgVeaaeuLDxSNsS1hcWUBK2qnZvnDmYDbvNELOnMTgHqbn/48ZM1HkUAhmoiiz38VIm1HvGQsP8y/Cqv+nNzpsetPsPdBcGNH+sivQVZ9CLF8aF8r+txXwYl5m9dY3ixl2Q0DQXbuy3fBwecGyQhAyQJk2bsRseh49WUev/mtOIkYmogjtg/LH+Ds/7iD4oaTUFV00+3Q9spQGZUrsU68LqvrUNdB138LuvcPlVF/Ltb8K3N2v6YKG27/NPsevw8n6rl+2sEw5UvWcPpHvzups4jJJBdxBj0iUk7SCU9E1uK5gB4X7G3vo32QIQBvpvDSoa6MqakN44uqC9vuSg7yyf+LJiDeg+653/uz6cmhhgC833f+Fk2kcec7Gj2infDqX48Mnv199ByAQ+u9c3b+zpsxaL+3tevFVLz8c28Q7zkAB9cNkxHzoqbbXgHgxR99lkSkB01416JOAifSy8b//U/v/PbtQw1Bv4zmF9DuLN1XmzcMNQT9MvY+lHVcxnSha9929j72mwFDAF4cQutLz9GyeVKy6EwLsjEGH8bb6F0gIo/jpY/44LhqNYE0dvSRcFNnR5YIh7oz+Msbxpe+ZkgXsKUOtG72fm95MYPfvA1dr+ZGj46dkG5N3I2hLS96v7e9TNpghWi7F+3bti19uxtDD2/1RGx7IW33bds3eAal7eWhg3g/6iblj462bkovw7I9w3Qc0bz5qbS33In2cnDDo6kNBiC73ETPJ0tgLsZzYnlZVScuGmucCfo8z5t0i2UBe+rt+M8I7HBaX3MA/Mm8/v6C9O3qgi819/9R4ctUQ0IgUHjknERv+tPsgKeL2KTEaYoPkvsfdjBMoq879e3BZNZbfz4qvkGzj34Z9gg6DsNfiPfsl+a+ZitjmuDPL0JsG4aNUpYvQLCwdHKUmgZknBmIyKkiMgsGooNPAT4HfFVEsowemvosLE/vg29bwiyziTwpSLAIihuSg+ggrABSf753Tv25qbEMCASLoaCOnFCy0BvQh2P5kNpkWud0eogNFcsQOwAVGfwsRJDqUwGYe9HfpwQnWf4gc89/o/dH1er00cEiUJmdv7rUrk0/y7H8UDop2ejHjZo1F6XdWBfLov7szAV4ZjojLRN9D4gBiMi5wK14S0QdwPfHX7WJoTjs57Q5JfgswW8JPksI+20uXFg56S6mMxk56XooqPU2OfujmuvO9gZGQEoWwPwrvcHMDnnnhSuQ5TfmzJ1WLBtZ8T4IloAdPNLPCW9CCmq9c+rOgeo1nn52KJn8bR6y+Fqv3RdElt/ozQL6ZdhBZOn1SMgrSnTi399E9arzsfxBfHmFWP4gVSvO4cS3eEXoJViMLH1n8r3e+/Hne4n/fNk9sEh+DSx+85H7aQchUOzFGYyje+hk4Avls/bfbyNQWIovlI8vXIAvnM+am75OuHzW6AJmKBm9iURkg6quSP7+HaA5WeXsuPIm6ifhurT0xPBZQnleYEoGhcxEtLsJYh1QUI8EUpeGNBHx8hT587xzxuH/pup6+xBODIrmInaq37tGO6CnCUJlSF5VarvrHMmnVDwPSZOyo7e5ke79uyionTfErfSIjAR07PJmHkVzj2oQVyfm5X6yAlA055hiM6Y6rpOg7ZUNqOtQumgldob0ETOFY6lnYIuIL7lEdBFwQ5bvm5b4LItZhWZZaCqRiPZxYP06Im2HKF20grLFp6QM9tq6CQ4+D4ECaLgcCQ1dE473dtP0zF+IdbdTcdLplMxfOmY9RCwoasjY7roJOLAOOrZDuAqddznWsCf2aEcrTc8+ieskmLU6lJK+QV2Hzr3b6GrcgZuIESqrTvGJb335BXb+8SeIZbPwqndROv/kYTIS0LIJIq3eUlnpCSmDvdgBKD1hzPdgSD9dez3vJn8eVK5Apuieg2X7KF9ySsZ2dR0Orn+ErsYdFNbOp2rlueMSh9DVuIND6x/FDoaoOe0SgkVTc5V9pJnBJ4ErgBZgDrBaVVVEFgI/VtWzJk7NI5hKZzODzn2v8Pgtb8dNxHHjMSyfn9JFK1n7b9/F8gW8AfiZz3sBaYNZ+Eas+rMBOLztBZ669d1epGoihmX7qD7lQk55/5dz5mvuxrrgqf8c5qkjsPIDWCVePeC9j9zLhh/c7LlfuAoiLH7D+1l09bsBiHa28dhnriPS1owbj2L7gwSKyznnMz8bGDie+tKNHFr/8JC+6899Patv/DyQLFzz/Ne9jLFOHGw/hCuRlR9EfLkppKLqoi/9n+emqq43QxFBlr1nXIL9xpNs7nku2Hznl9j11/8D10VsG1VY88GvDaSsmEiOOs5AVT8HfAT4EXD2oJxBFseRa6lharLuG/9MvLsTJ9Lr+d1H+2jb9gI7//xT74Sdv0s1BADb78Z1Yqjr8MzXPkgi0oMTTcqIRTj4/N9ofPIPuVP0xdvSuGwqvOhtq0U6Wtjwg5tx41HcWBQ3EcONR3n5nv8eSGO86Y7P03toH06kB3USJCI99LXs58UfeXEGB154OMUQAOx75B7ad23xenzppxDrSqYPd72fPQfQ3X/M3bU2b/Rebtxb7nJj4ETRzT+YsDoCuWK0e54LWrc+y+4Hfp78v8dxohHcWITnvv0REhnSX08mIz4eqepTqnqPqvYMOrZNVZ8ff9UMM5Xe5kZ6WxoZ7vDrxCK8+tCvvD8OPJtZwIFnaN+5KW0ueSfax6sP3Z07Zbv2pj/uRHEj7Rx87sG0sxA3EafxSW+gbnrmftQZ6jaqToKmZx9AVdnx+8y1pLbfdzvqRL2YiOEO0prwAt5yhDY9lT5WwU1A156c9TMRjHbPc8HeR3+LE039DIpYHNr4eE76yCXH7+6RYdqiqggZkvAN5Nwf4QurLuq6mWq1ZMzbn3PU8YLG0g0uqtCvR8bBpz/6OrO+6roj3orMso+GEe7bBFXSyxmj3fOcdOGklycc+d9PIYwxMEw58irrBtIVD8YKBJl9brLoedWqzAJmraVkwbIhyeT6sYNhZp/3hlypCvm16Y9bAaxwObNWX5B24LH9AWrXerUGqk+5INUzyLKpXnUeIsK8Eer6LrzyHd6eQOFcGG5AxR75Po0RmXWa54WU0jDyBvtUZLR7ngvqz7wypd4BeF5OlcsnZct1RIwxMEw5RIRTPvQ1fOGCgS+THcqjaM5iFlyeLH+x8PXJqNphzLsSyxfAsn2suenr2MHwQECXHcyj/MRTqT8rh4nZlr0rNTgOYOn1AIRKq1j6tn/HCgQR2weWjR0IMe+yt1PccJIn4h8/Sai0CjuUP3CtoeIKll3//wCoPe0SyhanesXMOvU1A0VSZMl1nndP/2BtByFcnnVBoayoWu15IvX3IT4vEPCk66ddrMJo9zwXVJx8BnVnXekV4hHL+1z6g6y84XP489J8dieZUbOWTjWMN9HMId7TSeOTf6Dv8EHKFq2kasU5Q9bfXdeF/Y95SeMC+dBwBVZBzRAZ0c7DND7xe2JdbVQsXUv5iafmPBbBdWKw+09eDEBepWeQgkNrAfQcfJX9T/8ZNxGnZs3FFM0Z6t7pxGM0PXs/XXtfobBuATWnXZKSx79p3QPs/NOdiGWx8Mp3UjXs6VKdKBxaj/a1IIX1UH5yzgdpVYWOnWjby1468arVSGDqDWzZkM09zwVtO17k4AsP4wvlUXfG5YTLa0Z/0zhwzCmspxrGGEwMGuuCvhYvqncSv+za1wqxTi9tdJbRtsM58PhdRA7tZtZ5bydUlmFZZyQdVKH3oOehU1CXNmAsF0Q7Wuk5+Cp51bMJFaeW7lTXoWP3S4hlUTR3iQmMNIyJYwk6M8xA1HXQbb/w8u9bXnI0rVyFLL52QpcCNN6Lbv5f6NzlLUeog859DdbcS7KW0bblIZ649QM4Cc/tceMvf0TtyUtZ84nsvYm0txnddBtEGCdoLgAAGXVJREFU2r21cUAXvwWrKnc1bF0nwYbbP03jE7/zYigScerWXs6Kd98yUEO3ZeszrPvmv3geUuolYzvtw98+qiA6gyEdZs/AMATd82c49LznluhEPLfB5vXo7hz65mejx9Y7PHdJt1+POOz5K9q8IWsZj3/h/QOGoJ/9mzaz467PZKeDuuiG70Bvc9KnPuK9XrrTq1OQI7b9+r9pfPIPuPEYib5u3HiU/U//iZfu/hbgzRie/tKNxDoP40R6caK9RA4f4InPv4NEJEPGVINhjBhjYBhK46OpdQLcODROnF+0xrq8dAc6LJDJjaF7H8xKxv6//S+uk959b/v992anSPsOr3DNcPdA10H3P5GdjCzY9Zef4g6LiXBiEXbf/zMAGp/4fVp3WHUdmtb9NWd6GGY2xhgYhpLIUNDHieQsGGdU4r0DSzIpxFLz/qej98CujG2JWJblOOKZ+nIhmrtif4m+9NGoiUgPqkqkowU3nvp/cRNxYh1porANhqPAGAPDUIpmpz9eOHviNizDFelz72NBWXa592vOy+ybX1KbZRrjonmQLs2CFUDKT8pORhaUDEs4109xw1JEhIqTTscOpRbssSyb8hNPzZkehpmNMQaGIcjCa5J+5P0fDcsb/BZeM3E6WDYsumZo0RixwR9GstxAzq89gaqFaZKnCax4/zey0yNUAnXnDA20svwQLh+oq5ALll3/Ka+qWdIAimVjB8Msu/6TAFSefAal85d5/upJ7GCYqlXnmQ1kQ84wrqWGFLT3IPrqg9C1z3OlnPP/27vz+LrKMoHjv+fcJUmzl4bSJV2gKaVlaaFCCwWpIIqyjjjAKAo6LLIoiI7LOC6o46DoyDgDDB9UYGSv6IAfRBilLLJIaaEtbYFSWpouadIlTdI0yb33mT/ek/QmuTe5Te+aPN/PJ5/enHNy8uRNep573vO+z3saUjo2+3E0v+eeEezd4coxT1zoVkHbD2/f8zXWPfskka4I1eMO4ehr/53ySUenHoMqNK1ANz0Pkb1w8BxkwkkJ1zQ4EK2b3+Odx++ief0qKifPYNrZl1M+YV8yi0U62bD4Ueqf+z0SCDBp4SepXXB2wU32Mrlj8wyMMcbYPAOTn3RPI/rOI7BzrXs+MHYucth5+1V7X1vq0XcWuRXEAmEYdyJy6Md7JoVpLIK+9wRsftFNGCufhEy/AClP8lxkiBqWPcvK39xM29b1FFWMpu7cK5n6kU/bpDBD65b1LP/1TWxf9Te8YIgJC87myE9/jaBfBiOf2J2ByTrtakNf+YHrduketilBKK/FO/ZLqZ2jfTu65Md+/X6fF4LRR+Ad+TkAYm/eA9tX9h4q64WRuV9FRtWk5WdpXPkSf7vl6l7lsgNFJUw/7ws9i9eYkamzZSd//vJH6drT0lOs0AuFqZx6JCd/976sxzPkxW2MyRTd/JKbTBY/fl8j0LrJLamYyjnqF7sVveLFumDHKrfqV8cuaFqRYM5EBN34zAHFH2/1wz/vt25CtKOddx77b2J96uWbkWXDM4uIdnb0qlob6+pk94bV7Fr3Zg4jS8ySgcm+1k39L9IAItDWkNo5WupJWF9fgrBnm5s1nLCGUAxa6/cn2gG1bVmfcHss0kVXa/rmIpjC07x+dcL5IYjQsvnd7Ac0CEsGJvvKJvQeNtpNFVIdtVReS8I/X43AqINd9dBYonfmHpRN3J9oB1Q2bmrC7V4wTKisMm3fxxSeyikze8qn96JK+fjDsh/QICwZmKyT8fP9ZBD3gFWCbhhrig93ZeIH3aLv8bwQHDQLKa5Giqqg5uj+SccLIpM+dGA/QJwZF17fa/w/QCBcQt25V+IFbHzGSDZ54Sf8tQz2/Z17oTCVk4/Iy/khlgxM1kmoFDn2BrdQirhJbRxyPHL0Vamfo+QgZPZ1bpYwAoFimHAycsQl+46Z8SmYeIrbh0DFFGTOdUhJ//LQQ1Uzax5zr7+VsvFTQTyKqsZwxMU3Mu3sz6fte5jCFC6v5uSbHqTmyPk9EwlrTzmfeV+/M9ehJWSjiYwxZgSweQbDiKqy5dWnee+p+4i0tzH+hI8y9Yx/IJigbk3yc8SgYYkb0aNRGPsBZPz8jC3YkjSOaCe66QVXLjtQjExYADXH9Bqbr83r3Ezo7hnItQuRon398F1tu3n3j/ey9bW/UFRRzaFnfpaxs0/J6s+RLi3rXuWdR35K86b3qRg/kboLbqRi2glZj2P7W0tZ+/hdtG/fwphZ85j28csSrkdthp+M3RmISC1wLzAWN4bwTlW9tc8xpwL/C3SXmHxUVW8a6Lwj+c5g5W9uZsOfHyLa0Q64BeJLD67llB8sSnm5vtiqe6FppavPD65PvbwWmX0tkqxSaJppLIK+9jNob9w3qsgLw7gT8OpcDaTY1lfh7Yf37ZcABIvdHIGiKrr2tLD4G+fTsauRWJf7WQJFJdSddxXTz70iKz9Huuxc/jQv3nIDsWgMVUUEvECA+Tf8hNFzzsxaHBtfeIzld32nZ6isBEOESkr54I9+T8no7JcjMemVy3kGEeBGVZ0JzAOuEZFEpR6fV9XZ/seAiWAka9++lfVP39+TCABinR3sadzEphf/kNI5tHWTP/a+c9/GWJcb6rljdbpDTm7bUrekZvzw0lgnbH7JTSaLRWHto733axS62tH1fwJg/f89SMeupp5EAG58/9uP3kZX2+5s/SRpseLuHxCNRHtKhKtCNBJlxT0/zFoMsUgXK+/+Ya85ExrpomtPK2//7rasxWFyJ2PJQFW3qOpS/3ULsBqYkKnvN9zteGcZXt/RM7gLYMPrz6Z2kl1re02AiTsJuvPtA4wwdbpjTe+E1M0LuGUu25tAEy1MEwM/zoZlzyYcw+0FQ+xatzLNEWdWc0Nj4u3bthNLsKhNJrQ1bCSWYCiuRiM0Lk/fQj4mf2WlX0BEpgBzgFcS7J4vIm+IyB9FJOF4KxG5QkSWiMiSxsbE/3GGu6KKgxJuFy9AcXWK9flD5YnXCZAghLM4Jr6okqR/eqFyCJUmXkcAIFwG4Hdb9K/9o7Eo4crEbZWvguHEz2uC4SCel52uu3B5FRpJPGO6qMDa0wxNxv/SRKQM+C1wvar2vX9fCkxW1WOAXwAJ1yNU1TtVda6qzq2pSU9NmUJz0Iy5hEoreo1ZBvdOeMrpF6Z2kjFHJl5BTDxkbNKuxLSTcScmSEoCgSKorkPCZVBd55JUPC+M1J4GwNSPXtL/OYkXoPTgWipqp2cu+AyYcuKpeMHevxcv4DF5XvYehhdVjGbMrBPwguFe2wNFJTZMdoTIaDIQkRAuEdynqo/23a+qu1W11X/9BBASkfQNAh9GxPM48Vt3Uzb+UAJFxQRLSgmOKmfO1T+mfEJqsxklEEaOuQaKqt0D20ARhMqQoy7f73UCDoSMqkFmfhaCJS4GLwwlNb0eYssRl0DlVPeAO1Ds/p38YaTGrUUwum42R136LwSKRxEsKcMLF1M5eQYnfO3OgqsWOv3SnzDhqGPwAp67Gwh4jD/yKGZ87qdZjeO4a29h9OHH4oWKetq07ryrGPeBD2c1DpMbmRxNJMA9wA5VvT7JMYcADaqqInI8sAh3p5A0qJE8mgjc8NLWzeuI7N1D5eQZeMEEZR1SOAdtW9xD2bIJWRtF1C+OWNQ9vA6EYdTYhBdx3bsDOnZD6SFIsLjf/mhnB7vfX0OotJKycVOyEHXm7G3aSNvGFZTWzqJ4zOScxbGncRN7dzVSMbGOYEn+lVo2Q5PLeQYnAZcAK0TkdX/bN4FJAKp6B3AB8AURiQDtwEUDJQIDdOyiLLoB9fYibeVoxeT9ficsIlA2PkMBpk4blsCWVyBYBJM/glRO6XeMFI+G4tFJzxEIF1E97ZgMRpk9xWNqKR6T3rUWhmJUzQRG1dhYj5HGZiAXkNi2ZbDmfjciSCOue6VmNjLj4oLqGonFYvDqj9w8g3jjF+BNvyA3QRkzzNl6BsOERva6RBDrcokA3PDMxtezO0cgHTb+pX8iANj8ArG9O7MfjzHGkkHB2Pm2m4XbV6wTbXgt+/EciK0vJ99Xn+KcCWNMWlkyKBTi0WtlsH77CskA8RZQd5cxw0mhXUVGruokY+e9MHLIB7Iby4GasCD5vokLsxeHMaaHJYMCIYGwG5vvhdyDYwm61+PnQ1VdrsPbL97EU/yVyvqYdAZeFuc7GGP2sRLWBUQOmgnzvwuNyyHaAaNnIKUplqLIM95xNxJrWgVbXnQTzyafgZfqkpfGmLSzZLAfdrV30d4VpbokRHEowcPcLJBQqbsbGIB2NEPrZigZjYzK3wusVE9zZSkCYbdm8Qin7dthzzYYdTBSYvWATHZZMkjB3q4oi99tYndHBA+IqjK9pozZ4yvzany/agx9+xFoeNV1I2kULZ/kyk0kmL2bS269gkf2PRgPFMPRVyJ5MBku2zQWQVfdCztW7fu9Vc9AZn4GSVCp1phMsGcGKfjr+u3sau8iGlO6YkpM4Z2mNjbsbB/8i7NINz0PDUsgFoHoXjcnYfd69K0Hch1aL9q2xV+4ptPFGe2Azmb0jf9yJSpGGH3vCTdXJP73tnM1ui61dSqMSQdLBoNo74rS1NbZb1BnNKa8ta0lJzElVf9c7wVhwNUfalqJRhOsH5AjuvnlxCWqYxHY+Vb2A8q1zS/2/73FIgPPxzAmzSwZDKIrGsNL0hXUGc3OwiMpiwxwp5JHyYCuFiBJ2w30MwxXiRb6AYh2UmjlYkzhsmQwiLKiIIEEycADxlfmVz881YeTaMEXiqrcgjF5Qg460g2P7UujUJVaOe5hpWJqku1T8uqZlBneLBkMwhPh+EnVBER6LrOeQFHIY9bY/BoTL4ee5dYI6FkUxgMvhBx+UX5dVGqOcVVT4xOCF4bahUhRVe7iyhGp+4QbXttdbkQCEChy243JEqtamqKdezp5q7GVts4Ih5QXM21MGUXB/Mul2tmC1j8HzevcEMWJpyJ5OH5fYxFoWII2LIVgMTL+RGT0jFyHlTO6dyda/yy0bISyicjEU2x4qUmrwaqWWjIwJgXRzr1oNEKwpGzI51B/wXnxbES3yb5cLm5jTMHr3NXA8v+8mi1rVqOqVB48hmMu/z5VM09N+RzasRt960HYuQYUtHKq67qziXYmj+RfP4cxeSIWi/HyTZ90iSCmoNDc0MSLN19H+9a1KZ1DNYYuuxV2rAGNATFoXocu+7lbo8KYPGHJwJgkmlc9Q0vTDpcI4sRiMdY//ovUTrJjDXS10nsorUK0C7YtTVusxhwoSwbGJNFWvybhSN1YNEbLpnWpnaS9MckEu060beuBBWhMGlkyMCaJisOO63dXAOAFPKoOm5XaSUrHu2J8/U5ShJRPOsAIjUkfSwbGJFFRN48xUybjBXr/NwmGgkw+64upnaRqGpQcHDf3A8CDcKmbb2FMnrBkYMwA5n5rEYcuOJVwSRGBUIBxM6Zz8k0PUFSdWnVVEUFmX+vKjgdHueqsY49Djr3BKpKavGLzDIwxZgQYbJ6B3RkYY4yxZGCMMcaSgTHGGCwZGGOMwZKBMcYYLBkYY4zBkoExxhgsGRhjjMHWMxh2NNoJ25ahu9dDSQ1yyPFIeOgLshhjRoaMJQMRqQXuBcYCCtypqrf2OUaAW4GPAXuAS1XV6voOkXa2okt/Bp2tEOsEL4RueArmXIeUTch1eMaYPJbJbqIIcKOqzgTmAdeIyMw+x5wJ1PkfVwC3ZzCeYU/XPwEdzS4RAMS6ILoXXX1/bgMzxuS9jCUDVd3S/S5fVVuA1UDft6fnAveq8zJQJSLjMhXTsNe4HDRB7fw9W9GuPdmPxxhTMLLyAFlEpgBzgFf67JoAbIz7vJ7+CQMRuUJElojIksbGxkyFWfgkQd38nn02VsAYk1zGrxAiUgb8FrheVXcP5RyqeqeqzlXVuTU1toh4UuPmgde3LLIHlYchweKchGSMKQwZTQYiEsIlgvtU9dEEh2wCauM+n+hvM0Mgk06HiqnghV1SCBRBcTVyxKdyHZoxJs9lcjSRAL8EVqvqz5Ic9hhwrYg8CJwANKvqlkzFNNxJIITMvhrd/T601kPxaKiejlgXkTFmEJmcZ3AScAmwQkRe97d9E5gEoKp3AE/ghpWuxQ0tvSyD8YwYUjEJKmx9XWNM6jKWDFT1BUAGOUaBazIVgzHGmNRY/4ExxhhLBsYYYywZGGOMwZKBMcYYQNwz3MIhIo3AhhyGMAZoyuH33x+FEqvFmV6FEicUTqzDIc7Jqpp01m7BJYNcE5Elqjo313GkolBitTjTq1DihMKJdSTEad1ExhhjLBkYY4yxZDAUd+Y6gP1QKLFanOlVKHFC4cQ67OO0ZwbGGGPszsAYY4wlA2OMMVgyGJCIBERkmYj8IcG+S0WkUURe9z/+MUcxrheRFX4MSxLsFxH5DxFZKyLLReTYXMTpxzJYrKeKSHNcm347R3FWicgiEVkjIqtFZH6f/XnRpinEmS/teXhcDK+LyG4Rub7PMTlv0xTjzJc2vUFE3hSRlSLygIgU99lfJCIP+e35ir/a5IAyWcJ6OPgSbu3miiT7H1LVa7MYTzILVTXZRJMzgTr/4wTgdv/fXBkoVoDnVfWsrEWT2K3Ak6p6gYiEgVF99udLmw4WJ+RBe6rqW8BscG+wcAtY/a7PYTlv0xTjhBy3qYhMAL4IzFTVdhF5GLgIuDvusM8DO1V1mohcBNwMXDjQee3OIAkRmQh8HLgr17EcoHOBe9V5GagSkXG5DipfiUglcApuYSZUtVNVd/U5LOdtmmKc+eg04F1V7VtFIOdt2keyOPNFECgRkSDuTcDmPvvPBe7xXy8CTvMXHEvKkkFyPwf+CYgNcMwn/FvaRSJSO8BxmaTAUyLymohckWD/BGBj3Of1/rZcGCxWgPki8oaI/FFEZmUzON9UoBH4td9FeJeIlPY5Jh/aNJU4Ifft2ddFwAMJtudDm8ZLFifkuE1VdRNwC/A+sAW3QuRTfQ7raU9VjQDNwEEDndeSQQIichawTVVfG+Cwx4Epqno08DT7snC2LVDVY3G32deIyCk5iiMVg8W6FFc/5RjgF8Dvsx0g7h3XscDtqjoHaAO+noM4BpNKnPnQnj38rqxzgEdyGcdgBokz520qItW4d/5TgfFAqYh8+kDPa8kgsZOAc0RkPfAg8CER+U38Aaq6XVU7/E/vAo7Lbog9cWzy/92G6988vs8hm4D4u5aJ/rasGyxWVd2tqq3+6yeAkIiMyXKY9UC9qr7if74Id9GNlw9tOmicedKe8c4ElqpqQ4J9+dCm3ZLGmSdtejrwnqo2qmoX8ChwYp9jetrT70qqBLYPdFJLBgmo6jdUdaKqTsHdLv5FVXtl3j79mefgHjRnlYiUikh592vgDGBln8MeAz7jj9aYh7ul3JLlUFOKVUQO6e7XFJHjcX+fA/4Bp5uqbgU2isjh/qbTgFV9Dst5m6YSZz60Zx8Xk7zrJedtGidpnHnSpu8D80RklB/LafS//jwGfNZ/fQHuGjbgDGMbTbQfROQmYImqPgZ8UUTOASLADuDSHIQ0Fvid/7cZBO5X1SdF5CoAVb0DeAL4GLAW2ANcloM4U431AuALIhIB2oGLBvsDzpDrgPv87oJ1wGV52qaDxZkv7dn9BuDDwJVx2/KuTVOIM+dtqqqviMgiXJdVBFgG3Nnn+vRL4H9EZC3u+nTRYOe1chTGGGOsm8gYY4wlA2OMMVgyMMYYgyUDY4wxWDIwxhiDJQMzzIjIP/vVHJf7VSXTWuxMXNXKRFVsE25P4/etEpGrs/X9zMhj8wzMsCGuhPNZwLGq2uHPDA3nOKx0qQKuBm7LdSBmeLI7AzOcjAOausuEqGqTqm4GEJHjRORZv0jen7pnkIvIYhG51b+LWOnPKkVEjheRl/wicC/GzfTdLyJyhn+epSLyiIiU+dvXi8j3/O0rRGSGv71GRJ72727uEpENflL7N+AwP86f+Kcvk33rGdzXPTPWmKGwZGCGk6eAWhF5W0RuE5EPAohICFdU7AJVPQ74FfDDuK8bpaqzce+8f+VvWwOc7BeB+zbwr/sbjH8R/xZwul+gbwnw5bhDmvzttwNf8bd9B1c6YBau3tAkf/vXcSWVZ6vqV/1tc4DrgZnAobiaWsYMiXUTmWFDVVtF5DjgZGAh8JCIfB13ET4SeNp/8xzAlf7t9oD/9c+JSIWIVAHlwD0iUocrvR0aQkjzcBfqv/rfNwy8FLf/Uf/f14C/818vAM7343lSRHYOcP6/qWo9gIi8DkwBXhhCnMZYMjDDi6pGgcXAYhFZgSvW9RrwpqrOT/ZlCT7/PvCMqp4vbsnAxUMIR4CnVfXiJPu7q95GGdr/xY6410M9hzGAdROZYUTcGrZ1cZtmAxuAt4Aa/wEzIhKS3ouSXOhvX4CrltmMK/nbXUL50iGG9DJwkohM889fKiLTB/mavwJ/7x9/BlDtb2/B3a0YkxGWDMxwUobr2lklIstxXTTfVdVOXLXJm0XkDeB1etd/3ysiy4A7cGvHAvwY+JG/PdV33KeJSH33BzANl0ge8ON5CZgxyDm+B5whIiuBTwJbgRZV3Y7rbloZ9wDZmLSxqqVmRBORxcBXVHVJrmMBEJEiIKqqEf9O5nb/4bYxGWV9jMbkl0nAwyLiAZ3A5TmOx4wQdmdgjDHGnhkYY4yxZGCMMQZLBsYYY7BkYIwxBksGxhhjgP8HMRBUjDVPyVYAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["plt.scatter(X['Sepal Length'],X['Sepal Width'],c=Y,cmap=plt.cm.Paired) #Colored by species using a color map\n","\n","plt.title('The Sepal Features')\n","plt.xlabel('Sepal Length')\n","plt.ylabel('Sepal Width')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"IBT2_A4nlW1d"},"source":["Now this is pretty neat, but we still don't know what each color maps to. To fix this, we can add a legend. \n","

\n","To do this, we will have to assign a specific label to each plotted data point. The simplest way to do this is to split our data into groups by color so we can assign the label to each group. Then, we can call the `legend` function to create a legend from the labels."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"6Ub7ZSj8lW1d","colab":{"base_uri":"https://localhost:8080/","height":366},"executionInfo":{"status":"ok","timestamp":1646675709105,"user_tz":300,"elapsed":169,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"d7062bb8-1724-4a62-e8fb-166d422c3d7c"},"outputs":[{"output_type":"stream","name":"stderr","text":["*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n","*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n","*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n"]},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["colors = plt.cm.get_cmap('Paired')\n","\n","for species in np.unique(Y[0]):\n"," ix = np.where(Y[0] == species)\n"," plt.scatter(X['Sepal Length'].loc[ix],X['Sepal Width'].loc[ix], c = colors(species), label = iris.target_names[species])\n","\n","plt.title('The Sepal Features')\n","plt.xlabel('Sepal Length')\n","plt.ylabel('Sepal Width')\n","plt.legend()\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"al90lP3DlW1f"},"source":["### Subplots"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"pxUYqglalW1f"},"outputs":[],"source":["# Creating dummy data\n","x = np.linspace(0, 3*np.pi, 500)\n","y = np.sin(x**1.5)"]},{"cell_type":"markdown","metadata":{"id":"jB_1XpyIlW1g"},"source":["#### Two subplots"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"7oWA28tJlW1g","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1646675709274,"user_tz":300,"elapsed":171,"user":{"displayName":"Kelly 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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["f, (ax1, ax2) = plt.subplots(1, 2, sharey=True)\n","ax1.plot(x, y)\n","ax2.scatter(x, y)\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"Pb3h1R2klW1h"},"source":["#### Four subplots"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"z6dIaIXWlW1h","colab":{"base_uri":"https://localhost:8080/","height":286},"executionInfo":{"status":"ok","timestamp":1646675710127,"user_tz":300,"elapsed":855,"user":{"displayName":"Kelly 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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["fig, axes = plt.subplots(2, 2, subplot_kw=dict(polar=True))\n","axes[0, 0].plot(x, y)\n","axes[1, 1].scatter(x, y)\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"W3OYTz1NlW1i"},"source":["### Multiple plots on the same axis"]},{"cell_type":"markdown","metadata":{"id":"tNs7S_0LlW1i"},"source":["Sometimes, it's useful to plot multiple graphs on the same axes. For example, plotting the scores of two students on the same graph for ease of comparison. While this sounds like a tricky concept, its more straightforward than you'd think!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"ix8FwMEclW1i","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1646675710127,"user_tz":300,"elapsed":3,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"5e1d8290-443a-44e2-de90-8314ab45de4b"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["plt.plot([3,4,3,6], [1,3,5,8], 'bo')\n","plt.plot([5,6,7,8], [4,4,3,2], 'ro')\n","# You can add any number of plots this way!\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"collapsed":true,"id":"BU9wlpe7lW1j"},"source":["### Error Bars"]},{"cell_type":"markdown","metadata":{"id":"U0pzpV7ulW1j"},"source":["We are also introducing error bars, which were designed to overcome one of main challenges of data visualization: to represent the uncertainty of the data. Error bars add a whisker to a data point, which indicates a possible ranges of values that the data point can potentially take, rather than designating one definite value."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"6yiNcwf5lW1j","scrolled":false,"colab":{"base_uri":"https://localhost:8080/","height":295},"executionInfo":{"status":"ok","timestamp":1646675710300,"user_tz":300,"elapsed":175,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"79f89ffc-bafc-449e-d478-73ff58e4f373"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}],"source":["x = np.arange(0,1,0.1)\n","y = np.sin(np.exp(x))\n","error = 0.05 + 0.05*x\n","\n","plt.errorbar(x,y,xerr=error,fmt='-o')\n","\n","plt.title('Error Bars for an Arbitrary Function')\n","plt.xlabel('x')\n","plt.ylabel('y')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"a7Sqt_bGMHb_"},"source":["## Problem 3: (2 pt)\n","Tweak your previous graph or create a new one (do NOT use one of the given examples) so it includes one of the above tips and tricks."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"AK9bNv7eMHb_"},"outputs":[],"source":[]},{"cell_type":"markdown","metadata":{"id":"42LNEdk5lW1k"},"source":["_____"]},{"cell_type":"markdown","metadata":{"id":"Zr5YHo6BlW1l"},"source":["## Advanced Visualization Techniques"]},{"cell_type":"markdown","metadata":{"id":"iOy5tkKolW1n"},"source":["### Animation"]},{"cell_type":"markdown","metadata":{"id":"ftGs9PGclW1n"},"source":["There are additional visual tools that you can use, that for the scope of this course we will only mention. Please refer to these links:\n","

\n","https://matplotlib.org/api/animation_api.html\n","
\n","https://matplotlib.org/2.0.0/mpl_toolkits/index.html"]},{"cell_type":"markdown","metadata":{"id":"ztobm20dlW1n"},"source":["### Using Maps"]},{"cell_type":"markdown","metadata":{"id":"zUkuTbf0lW1n"},"source":["We will be using the `Basemap` package. To download this, run `conda install Basemap` in terminal (enter `y` when it asks about updating existing packages) before you run the second cell."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"0FB5DI_nlW1n","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1646675713984,"user_tz":300,"elapsed":3687,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"dc1f6cc5-d301-4bc5-8050-79b83c8c7054"},"outputs":[{"output_type":"stream","name":"stdout","text":["Requirement already satisfied: Basemap in /usr/local/lib/python3.7/dist-packages (1.3.2)\n","Requirement already satisfied: basemap-data<1.4,>=1.3.2 in /usr/local/lib/python3.7/dist-packages (from Basemap) (1.3.2)\n","Requirement already satisfied: pyproj<3.4.0,>=1.9.3 in /usr/local/lib/python3.7/dist-packages (from Basemap) (3.2.1)\n","Requirement already satisfied: six<1.16,>=1.10 in /usr/local/lib/python3.7/dist-packages (from Basemap) (1.15.0)\n","Requirement already satisfied: numpy<1.23,>=1.21 in /usr/local/lib/python3.7/dist-packages (from Basemap) (1.21.5)\n","Requirement already satisfied: pyshp<2.2,>=1.2 in /usr/local/lib/python3.7/dist-packages (from Basemap) (2.1.3)\n","Requirement already satisfied: matplotlib<3.6,>=1.5 in /usr/local/lib/python3.7/dist-packages (from Basemap) (3.2.2)\n","Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib<3.6,>=1.5->Basemap) (2.8.2)\n","Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib<3.6,>=1.5->Basemap) (3.0.7)\n","Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib<3.6,>=1.5->Basemap) (0.11.0)\n","Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib<3.6,>=1.5->Basemap) (1.3.2)\n","Requirement already satisfied: certifi in /usr/local/lib/python3.7/dist-packages (from pyproj<3.4.0,>=1.9.3->Basemap) (2021.10.8)\n"]}],"source":["!pip install Basemap\n","\n","temps = pd.read_csv(\"temps.csv\")\n","temps_unique = temps.drop_duplicates(subset=['City', 'Country', 'Latitude', 'Longitude'], keep='last')"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"QJNv4L0_lW1o","colab":{"base_uri":"https://localhost:8080/","height":218},"executionInfo":{"status":"ok","timestamp":1646675714742,"user_tz":300,"elapsed":763,"user":{"displayName":"Kelly Lu","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhBJOcWEOJSq7Sac1aULmBnym_h98gIkXWAKxFC=s64","userId":"13804689239916936151"}},"outputId":"29997619-842f-43cc-991f-87587dd4287d"},"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{}}],"source":["from mpl_toolkits.basemap import Basemap\n","\n","map = Basemap()\n","# draw coastlines, country boundaries, outline the map\n","map.drawcoastlines()\n","map.drawcountries()\n","map.drawmapboundary()\n","\n","# add data over the map\n","cs = map.scatter(temps_unique['Longitude'], temps_unique['Latitude'], c=temps_unique['AverageTemperature'])\n","\n","plt.title('Average Temperature by Location')\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"LHTadpFtlW1p"},"source":["____"]},{"cell_type":"markdown","metadata":{"id":"dLjITmevMHcB"},"source":["## Problem 4: (1 pt)\n","Find an interesting data visualization from somewhere online. Provide us a link to it, and describe 2 ways in which it is a good visualization and one thing you would improve about it."]},{"cell_type":"markdown","source":["####fill in here"],"metadata":{"id":"lr8A-WPiDBQx"}},{"cell_type":"markdown","metadata":{"id":"ph2ctTEWlW1p"},"source":["## References"]},{"cell_type":"markdown","source":["https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplots.html"],"metadata":{"id":"uMrxsAzZz9xX"}},{"cell_type":"markdown","metadata":{"id":"dxzcbH8nMHcB"},"source":["____"]}],"metadata":{"colab":{"provenance":[],"collapsed_sections":["kntIF-0UlW1Z"]},"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":"3.6.5"}},"nbformat":4,"nbformat_minor":0}