{ "cells": [ { "cell_type": "markdown", "id": "fff56b76", "metadata": {}, "source": [ "--- \n", " \n", "\n", "

Department of Data Science

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Course: Tools and Techniques for Data Science

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Instructor: Muhammad Arif Butt, Ph.D.

" ] }, { "cell_type": "markdown", "id": "05dbb7e4", "metadata": {}, "source": [ "

Lecture 3.24 (Data Visualization-IV)

" ] }, { "cell_type": "markdown", "id": "012680d8", "metadata": {}, "source": [ "\"Open" ] }, { "cell_type": "markdown", "id": "117c331e", "metadata": {}, "source": [ "## _Data Visualization with Matplotlib_\n", "\n", "**Read Documentation for details:** \n", "https://matplotlib.org/stable/users/index.html" ] }, { "cell_type": "markdown", "id": "10a00218", "metadata": {}, "source": [ "\n", "" ] }, { "cell_type": "markdown", "id": "e42b820a", "metadata": {}, "source": [ "## Learning agenda of this notebook\n", "1. Recap:\n", " - Anatomy of a Figure\n", " - Line, Bar, Scatter, Pie Chart and Histogram\n", "2. Box-plot\n", "3. Violin plot\n", "4. Heatmap\n", "5. Subplots" ] }, { "cell_type": "code", "execution_count": null, "id": "dab15048", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e5d568a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "312404c8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d533666d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e6e9f900", "metadata": {}, "source": [ "## 1. Recap" ] }, { "cell_type": "markdown", "id": "f702a78d", "metadata": {}, "source": [ "### a. Anatomy of a Figure\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "fc4e270c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "14b92ceb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cff5e2a4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f4696238", "metadata": {}, "source": [ "### b. Line Chart\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "e2416980", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f58056a2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "9eb21221", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f94ece7b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1d4c5c57", "metadata": {}, "source": [ "### c. Bar Chart\n", "\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "3698d97a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "37376719", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ab8c4bde", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4c6597ec", "metadata": {}, "source": [ "### d. Histogram\n", "\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "56e72710", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2d6b49c1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f8da69b3", "metadata": {}, "source": [ "### e. Scatter Chart\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "edd37047", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1864709a", "metadata": {}, "source": [ "### f. Pie Chart\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "3cc3ac36", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3f16cabb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cfeaf6f7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "dfd1b1d8", "metadata": {}, "source": [ "To begin, let's install the Matplotlib library. We'll use the `matplotlib.pyplot` module for basic plots like line & bar charts. It is often imported with the alias `plt`. " ] }, { "cell_type": "code", "execution_count": null, "id": "7e6f955f", "metadata": {}, "outputs": [], "source": [ "# To install this library in Jupyter notebook\n", "import sys\n", "#!{sys.executable} -m pip install --upgrade pip\n", "!{sys.executable} -m pip install matplotlib --quiet" ] }, { "cell_type": "code", "execution_count": 1, "id": "e99b39c5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('3.4.3',\n", " ['/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/matplotlib'])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import matplotlib\n", "matplotlib.__version__ , matplotlib.__path__" ] }, { "cell_type": "code", "execution_count": null, "id": "475db255", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "57a9a8b5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c095194d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "25311790", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2a95bf29", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "22153286", "metadata": {}, "source": [ "## 2. Boxplot\n", "\n", "\n", "\n", "




\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 3, "id": "91d43b10", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 72.5\n", "Min: 200\n", "Min: 45\n", "Q1: 65.75\n", "Q2: 72.5\n", "Q3: 81.25\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "\n", "mks = np.array([65, 85, 72,45, 87, 68, 61, 80, 77, 73, 66, 200])\n", "# Create figure and axes objects\n", "fig, ax = plt.subplots()\n", "\n", "ax.boxplot(x=mks, patch_artist=True)\n", "\n", "# title and axis labels\n", "ax.set_title('Box Plot for Subject Marks')\n", "ax.set_xlabel('Data Science')\n", "ax.set_ylabel('Marks')\n", "\n", "\n", "# add horizontal grid lines\n", "ax.yaxis.grid(True)\n", "\n", "print(\"Mean: \", np.median(mks))\n", "print(\"Min: \", np.max(mks))\n", "print(\"Min: \", np.min(mks))\n", "q1, q2, q3 = np.quantile(mks,[.25, .5, .75])\n", "print(\"Q1:\", q1)\n", "print(\"Q2:\", q2)\n", "print(\"Q3:\", q3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "cb05f353", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "9b685534", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 4, "id": "7639fae7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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3MS04SAADIALahorefemalegroup AMOR442000375744
4MS05DANISHPeshawermalegroup CAFTERNOON542100397855
\n", "
" ], "text/plain": [ " rollno name address gender group session age scholarship \\\n", "0 MS01 SAADIA Lahore female group B MORNING 28 2562 \n", "1 MS02 JUMAIMA Islamabad female group C AFTERNOON 33 2800 \n", "2 MS03 ARIFA Karachi female group A EVENING 34 3500 \n", "3 MS04 SAADIA Lahore female group A MOR 44 2000 \n", "4 MS05 DANISH Peshawer male group C AFTERNOON 54 2100 \n", "\n", " machine_learning data_science big_data \n", "0 33 81 74 \n", "1 27 90 88 \n", "2 24 95 93 \n", "3 37 57 44 \n", "4 39 78 55 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "df = pd.read_csv(\"datasets/boxplot.csv\")\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 5, "id": "a7b52b64", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 11)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.shape" ] }, { "cell_type": "code", "execution_count": null, "id": "14418952", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "92c12b82", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e46565d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "69437d09", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c65dd449", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 6, "id": "5125c45e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.data_science.min()" ] }, { "cell_type": "code", "execution_count": 7, "id": "4a6e5137", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "95" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.data_science.max()" ] }, { "cell_type": "code", "execution_count": 8, "id": "f9aa6a53", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "70.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.data_science.median()" ] }, { "cell_type": "code", "execution_count": 9, "id": "58159329", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.25 57.25\n", "0.50 70.00\n", "0.75 77.25\n", "Name: data_science, dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# measuring quantiles for Data Science\n", "df.data_science.quantile([.25, .5, .75])" ] }, { "cell_type": "code", "execution_count": null, "id": "dbb701bb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b19cc51e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "75e7895c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d940aec8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "5a417d65", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "45bb0310", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1b50fd9f", "metadata": {}, "source": [ "In Matplotlib, `boxplot()` is the core function to create box plot. Below are some of the important parameters of the function:\n", "\n", "- `x`: Array or a sequence of vectors. The input data.\n", "- `vert`: Set as True or False. The default value is True, which displays the boxes vertically.\n", "- `labels`: Sets the labels for each dataset.\n", "- `notch`: Set as True or False. the default value is False. If True, the parameter will produce a notched box plot.\n", "- `widths`: Sets the width of the box.\n", "- `patch_artist`: Set as True or False. the default value is False. If False, the parameter will produce boxes with the Line2D artist. Otherwise, the boxes will be drawn with Patch artists." ] }, { "cell_type": "code", "execution_count": null, "id": "7358815f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "5e438066", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d25bb1c2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "47ffb292", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ea3caeae", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "id": "52442635", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import matplotlib.pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Get the dataset(s)\n", "machine_learning = list(df['machine_learning'])\n", "data_science = list(df['data_science'])\n", "big_data = list(df['big_data'])\n", "values = [machine_learning, data_science, big_data]\n", "\n", "xlabels=[\"Machine Learning\", \"Data Science\", \"Big Data\"]\n", "ax.boxplot(x=values, patch_artist=True, labels = xlabels)\n", "\n", "# title and axis labels\n", "ax.set_title('Box Plot for Subject Marks')\n", "ax.set_xlabel('Subjects')\n", "ax.set_ylabel('Marks')\n", "\n", "\n", "# add horizontal grid lines\n", "ax.yaxis.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "5d057c2e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bc6bb7cb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b078854e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "9bb4bff2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a6d28a73", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "be237f5c", "metadata": {}, "source": [ "## 3. Violin Plot\n", "Violin plots are similar to box plots, except that they also show the probability density of the data at different values. These plots include a marker for the median of the data and a box indicating the interquartile range, as in the standard box plots.\n", "\n", "A violin plot is more informative than a plain box plot. In fact while a box plot only shows summary statistics such as mean/median and interquartile ranges, the violin plot shows the full distribution of the data." ] }, { "cell_type": "code", "execution_count": 11, "id": "25fc70f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import matplotlib.pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Get the dataset(s)\n", "machine_learning = list(df['machine_learning'])\n", "data_science = list(df['data_science'])\n", "big_data = list(df['big_data'])\n", "values = [machine_learning, data_science, big_data]\n", "\n", "xlabels=[\"Machine Learning\", \"Data Science\", \"Big Data\"]\n", "\n", "quantiles= [[0.25,0.75], [0.25,0.75], [0.25,0.75]]\n", "ax.violinplot(dataset=values, showmedians=True, quantiles=quantiles)\n", "\n", "# title and axis labels\n", "ax.set_title('Violin Plot for Subject Marks')\n", "ax.set_xlabel('Subjects')\n", "ax.set_ylabel('Marks')\n", "\n", "ax.set_xticks([1,2,3])\n", "ax.set_xticklabels(xlabels)\n", "\n", "# add horizontal grid lines\n", "ax.yaxis.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "26f83472", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "848658c1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "450ede25", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "376b72a0", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4b0910ee", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "da4a4a95", "metadata": {}, "source": [ "## 4. Heat Map\n", "Heat map Heat map is used to find out the correlation between different features in the dataset.High positive or negative value shows that the features have high correlation.This helps us to select the parmeters for machine learning.\n", ">- A heatmap is a useful chart that we can use to show the relationship between two variables. \n", ">- A heatmap is used to visualize 2-dimensional data like a matrix or a table using colors." ] }, { "cell_type": "code", "execution_count": 24, "id": "ebca070d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[132, 140, 154, ..., 230, 189, 244],\n", " [187, 76, 217, ..., 197, 72, 148],\n", " [132, 253, 87, ..., 4, 72, 86],\n", " ...,\n", " [105, 214, 90, ..., 202, 115, 76],\n", " [249, 8, 147, ..., 131, 24, 95],\n", " [ 42, 94, 36, ..., 228, 130, 212]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "data_set = np.random.randint(0 , 255, 250000).reshape(500,500)\n", "data_set" ] }, { "cell_type": "code", "execution_count": 25, "id": "57395744", "metadata": {}, "outputs": [ { "data": { "image/png": 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c5TGV1oTGey7JTEFWM4zPJ6RLKY0zHRi6KKH59TefJi9rnCsDkm5A+VP7RFcjgukIZyxolSKaM0P8HRshxt0At+PQv2CQGZjbFdxnuz/1xDaAxnyk44/8LGO2jTFvH/17CNzEprT+MPtl4O8eCTWsYOl6L/yoc3zszu2Ih/iXscjym8DfM8b8SLke3XXx/Ay/nJKXDZ2nNMmUJq2D/3P7bP2ZlPkz+3ByTL6UIA/saj88lyNzCDcdKvcdrn/zDNlBiBOBCQqy2Yx8PqW8ZSjf9Si9WsZEDkUrI4ldNh+2yV9rUpyMUZEgaYDsOdSuu9RuuhQDl/RchNCw8+vHELlAOwJvYHNiRkLtvqAIDUUIs28WpF9rI9+uohVkzYJ4PqPxroeKYb9XwfiauGVIllNEAepeiH6liREgYwEzCd6ew/DJxOZT3q8SHh+iXcPMU7toFxqveRSHNm80/MYsIpEcvjeD7ni4x8ekCymNDxzq3wztZDrw2P3NZbw+FC8MKDUjwh2Je6sEhUAXgpKfcfnMJmIzwLgGvxWhhy7lsz2MMoQrHrqaI4KC/GSMMxQ03vLoX7A5mMPnc+LZAvou62ttKvcdjAu7/SpyM6C3V0VMJThBRvMm+IeC8ZImnrIhRfnJDmbikDRg609meHdCGq0xo40aW68sIWdijGt4dmmd/v0mas8jrMc0znbQX+yCX5BcjojmNEWoiecKHN86UlGAOzY07muMBJVCWE3o7VdwBwLtGbx6gpwo8lTReM+ltCMwylDeMGgHGsd75KEgD2FvVMG4mmfPPuSzS/coX+rSezkh6/v4HYWMJCoWND5w8A8khQ8zUwPMsYjhCUNeAgyYOxXGw4AiADWWYMDd8Wi+7tFZb6CaCZPMQ2SCYH7M+LAEEnrvtal/JyDLFMGBYGV3it7DBslsTnt2QLjq4h8IdKlAJQJhoPKrP8xY+8lMf8Q/QFsI8eaHjr/0h33mkRDr08BrRw/9ZSHENSHE3xBCNI8e+4Ny+T/KGf7x5NyOQsnf+qiv1z6It2ukiwVmIcM5cMmrBcGhYPKtaZwSdC4VOI4m6ziEpwaorzcYntBkdU1aKghWPVQsKH8gGS8avEaCUpokdslLMFkucNoR7oMy2lVoXxMujJlQwr8XUto1JA1BEQgGT6aU7noEuw5pNSOra2SuMI5h91NQX+qgN2vknx/SKEX09hqEuwE7LyiccwOKm1UufuYBN757inwuJa3CZDnHfVjGPT6hOJXz4olVXh+epXndjjddyJADh/CDkOLZIc79CtlsinFd3Fyi2gnNIGKrljFa9qjfVvRUGU5loAxZBRYXOwxin7RfZni0tXOHUN6QaA+GZ3Kqr9ZIWoYghsGZFDFWiEjR3Z1iNGxjqoagHZFlCqEF8fUGzskIpEPjXZvdl5mhd0mT1QWmXFB4hsZ7LuNlG4WJgWR0ISVc8YjHHn4kyDWUKzHDbonuRZh7dpukW6X5akg8K+nu1Ag3HKLTCcox6Msjels1vL4kbWjcuyWatzTXNy4iljQyASEM2dfbTOYN1HIa3/GYzAvcEaQvD9FaIJ7uk21X6H0pofRGifGSxhsIooMS1bsOoydiW2haLaOrBa5XMF40aNegain8qQne21N0t+oEDRCLEePrTWjnXP/dc9we2VyYu2BI5zK0Mnh9QXI+Yqh8qg8keQ6dt2YoFlMqezZdwopHVjPIXZ/4hRE6diliRXlmzMCrEuw4yNkx+9+ZxwkN6rUatRTGL04wHYfhpyN01yf44j7DjQbBocLrQ78zRW3PcPhsgb/tUlwYkx8E7D8j4e/9lPMaQ/bRtpwAB8aY5/6oFwkhKsA/xEprDYQQfx34q9hA8a8Cfw34N3+S8T4aDAWNLQbMj1CHLjIFgoLRMoxP5sy/vElxt0KyVmHme4rxepX+xZzqiuSpJx8gRg7CHFVFU/AGguwgpLhdRez4dJ4sEJlg6p+UKJZjW7WcSjHv15g91iE/O6F7RTO5HFOEGjFWTE5ZaqKzGlC7q+xWIrDJ5f5aHX/fIZp4bN+YoVRJGD0bUZQMQhiCQ8G1906QVzXlD3zcMQgjyOdSsomLXAv44NcuQCOjf87YAoZfILOjquYHVbJGgeq4yESglMa5XeLG9WOU7vjIHKIZw9RbCuFrKlMTVM9h/41ZRps1Zl6zW3dnLJicTexWzYAoBMNzOaIQJJ8Y4m/aCq4uF8xd3aX+0h6ygPD3KpRKCWhIF1LcmyVEDpNZQzRrbMI+0KgYqlNjSqsOSROKwNjtdbvA3XdZ/Pw6oueSVTQik3xi4SF+OcXvCNZX27BSpv/nR/hzE7xdh/hsDLGiWR/jeTminJNVNbQT6vcMnSuCyZx1PEbBZL+M3zUsfrOg/ZpDPCWoPjQMzud4bo68XmGyW6Z9skM+dommDTIV9M5D2J4QTxlM5GAySbgrqKw4ZJFL1ijQvkGsh5S9lKxqHZ32DUXXFkfQAmcCToyNXg0EtQSZC8IXD/BvhxgHxp8Z4fcM5Sc6hPd9igCSliG5EMFyhMwheL2C6Lk4tZTiWh09lREfT0nv1UimC7RrmDwRUfqFXXSqKJ3vEZYS/F3F4K02zXcdCt8wmTM454aMFwWV+w752QnK0dRvKbT30+NZDVBgPtLxUexIr/AfAr9qjPlHAMaYXWNMcSRd9f/l97eeHymX/2F7JJybcQ0yE4z3yjjHR4hzI4gU+lTEV569xsa+jUyNb9h/wVYi3UbC4FzBjZ05qGdEizkyg/45cEZAAcWJ2CaVTx5Suy/JSgL/dsiTz95HH/jESxmDV2dwb9twP7wV4M9PkK2U1hsOeWgobQkmC4asYpBBjn8rhGpOMpujlKZxWxA9rAKgywVx5OH3DM7IXlrtwWTeoMaSamMCWpC1c+K2wRSC8uk+lecO0JGDMxGMr8bE8znVOw7VB5L2E3t4jk2+i3pK2jSoSFDahv55UDse6usNFr6lKW/Cwul9dj9l8FcCjAO1d31mP7fJ+FSGTATeoULFkK9WyE7FVB44iFiy9+4sB70KWTOn+0yO89sNvK4ieOhT3jAkbU12LCFZTsnrha3Gzudk7zZJrkSo53qUNiV+V1JadXAHgs1vLON1JI3bAmckee3vPE0au8Rtg9NxqKyC/E6dohBwbgwDC2MZvj1FsxThbNrCkeMW7H0hRaZHMB3XoFLB9HKX4QnB3l+MOPiEvaaHTxlkLBmPA4rA4AwUnV4FHE1wIDAC8lYO79XwexbiUr7jkQfgdw3ujouqZfb3ExD/t3P2epcS9MkIU8rRHvh7irhlSGvgtG2xxf1uleRkwjjyUbGtPOe7JcZfHhElHklbW9iKA5W3Qor9AH08Ii9DaVOS9z3ywOAEGeS2INJ8X1I0c/TYpTMoU2+OyQvJaLVOecuQVQ3atVtroUG9VsM/hMb9AlMI4oOQwWmNij6WisLHlnP7kKzXTWPMf/qhx+c/9LJ/BavMDDZv/+eEbaB0EjgLvP6jzvFI6LkJx5BNZyANl+Z2+OA7Z6BZYLYDvrrzFO5I4HcF+VCRNgzVhzBOS9DQuG9WSZcK3IkkqxjyWoH2HbyuovxBwHgJxndnGT2XoLyCPHa4+2tnCQIofIHfhd4TGeFURJxU0AchU28rZAZ5vWBwRuL1bYVVvR8SzWiUV1BtjUhfnWIyC7qeIYGp1xw6T0rG84JsOsPdd0jrhrxagK8ZDkKEX1B5L6B4uQ/AYKeK21H4mSDcMSSnQFYykqbCHQmK35llvKgRTY3Y8VEnRkRzLsmuD1isXjQNk5dj8r2Q+DtzqLIhORkjuh4YyepmGzVUOBNBMp/TeqbDfqeGOfBJ2tYRy1RQ7AT4Q4vpGy9BVi9o3JB0njDUTvXw3Zzu29MYCVnFoAYKmYKUmqKQ+J/u8NzsJq9864r9zgLUUDEoQeEZ+k+nECuKkoXdDM5KinLBdDVif69G7b5icMEuJOsPphFVi60zD8q4AsJnD+mtNhDlHO0oWuGE4aUh8WGISCSlbYH+1ID0Vo284yFPjcn7Pi+eWOXd3z1PNGtwB4K8bYhn7PhaMwOcb0zRuQL9GvgdwThSeCNBdCbBiR3Km5Kh28AdChwB0UJOZcVBORZ/mK6VLOwkBGfLI7w8pnc6R00kzVMdOtt1vHqCOxCoF7s4X28iM2jcFKh3Q8ZLEM1q8DSlbYd0UiFbyDG+pvOJHOlqjKNJOwF6WEam4KcC88sH1H67TV4G59gYfb/C6GRO5aHDcFFhBh6VhSFFIZmtD7n3U85TAxQfH6Ppk1gFl/eFEO8ePfYfAn9eCPHU0ekeYhVyMMZcF0L8PaxCTQ7828aYHwm6ezQit1Qyt9BFTBze/94ZWk/ug7KTThQWcFt4FotWBIb4i0PSVoHxNHkAzthuK4QBNVIMn44x0pCXBfLSkNGJAmfLw/VynAPXJp2vjijtChDg7TvEW2WQ0FzsE7cEh09agKyai0hOJETzOePLMXomxb1RortTIzg0JO2C0j0P/2bI4SdTRCO14MvUgm/zmZTqfYep77kEtwPMxGF4OSW/WSM5ivgA8rJmeKR+Znoe6VxuwaIetN4XuH2JbmckYw9x4GHmYtSxMQAqFWQjDxSkDQ0C5IGHDgvi5ZRjC4cU1QJnYlfvg24V536ANz9Gu4Zi+agimwqS6Rx9doJ3uY9/qEjrgsqaJHq3xe7DFqIQ5HXNiSe28A8kzgTknTLq9Rrjic83bp4jn8oQYYHbiFl6chu9HKPLBZVGBLmgvGZhDmI+Rg0Vk29NE973GZzPUUOFruXgakxo864ys1iuXq+McQ2lGwHm9IR72zM4b9hr6EwEwwsZk5FPcSymfqwPD8qITLI+bFB4EO4J0ktWHk8mgvbJDp2DKtGMhZ3krZxkykAuLcA5Vmx/WpA0Qc8kxPM5GHCGivGxgmi+oPHlbWae3LWL75UxnBrTO6hY6FFZM5oElFZc0sMAfXbCcK/C4HyOExu6z2f0LkK0nOGMJe6eS1a1OLrZb0tOnNjDK2UWt/ggAGUXbwxUVw2DG1P4PY1MbXEim0sprTuMTuVMFgzegWKmOiLqhKzv/Si1+Y9u+iMef5QdSVwJY8wTH4Z9GGP+gjHm6tHjf/JIV/D77/l/GGNOG2POG2P+6R91jkfCuQkNh+/MQCXjyU/cpfPuNHKoMBdGtC4dWIc2rQkOJLKdEO+UCXYcKndc4rmcvGSIpg3ZXIrXE0hHo48Q9NHQR00kWasg6oSEOwL3+Jh8q0TSsGj9vGwobSmYSvjUwgOSpqH9tqBxU5ANPKRX0FzqWyDlhk90PMPfccjKAuMZ8rIhni/wyykc+BaK4GjEyTGNN33GS5rCE7gTwC9wSyl5xTB7ec9OcmNxdgDuuo8zkvj1mHjaEF+OyCqC4BCcHQ/Zc9FHUdHpmQNMWHDuS/cRicLpS6orkvodmL60jxoqTv+qttt6ZYjbGjTksUNWNfjfqdrJuhpQ2jGoWOD2FVnfpx7GJK0CFcNkzlD4htodG+jLRsraXovJqYy0BoVvMVg8LFH9wMfbclG7HnnisLoyTREpyisuk9UawXRE0jb4DwKCd0p4fQvbyUsGUc6pPhSorkv1pofqOuQBpC1NOpNjxg4iF0Rzmnw/QD0MUDGUHzqoWNjo1MsJwpThOLDXVMNup0beyolmDWbXxz1wKW9I+u+2IbH5VNHxEF5B/Q44A0VaN7TeVchYoJ8YYiIHt6coAkPeyDFhgZpItt+ZY+fGDONjmrwTkHUDglpC/aU9MFD53TIA4ZZD85+WWDh2iDcVc/BSjrvvWqxcKSfcsw76+0yS0ZKdmvl2idKqQ3FhjPALC+42MF4QlHYE+19JiGYN2VJK7ZqPzKB6x6Y43BFsfXsJNVAU459+k2Y+Yr7to+bc/rjtkXBuspRThIagnHIQVRAFNG4L0k7AwUoLkVuGQdowOPcDKiuKxl2N37WAWeNrsrmM88d3SBuG8mslZMERfuqoOqVBhjlZBfigiplKLYhzxqArBbzQR24HfGf7JHk7I5oWdJ7PLRxjO6C33qD1bZ/gQCBcTV4yDM8WNN9TGAfUSHJhdg9nLDDSIBJJvRKR1n+foqWVLfVnnQCZCLY2WihHk9W03ZYvRdSePEScHJNGLul8htoI0F/s0ns6hRNj/uznXqV2w0Unit3/7jhhK+K928egnOMOBeNFQ9IU7HdqCC1Y+3kfs+vj7bi4Q4nbdSjVI+Yv7jE8UyC0gDNjOk8VVJ/f58on7xFsOWw+bGN8zeiEJq8W5O2M+sOctFVQr40xmyEilYT7NppIpyzsIGkalj6xyann1jGJQlUzgnUP7UCwJ0ki1y5WczmjSwnBgSGrG/K6Ru769C8UFNWCybxGHVHV/D2Fe+gwe7xjwborktpdhd8RthJ+MSarWpZInjj4bo7OJObCCGci0ZmFWTgnR8y+Zu8FlRjCXUH1rkPctrQ4oQzRjKB2z9LK+mcN+VSO5+W4XUU2lRNe6tn7KrMsE3Mswu9IjLTsFplIskyxtzJF9Z5D96pmcjZFpdC9CN1RiXTsEWy4GAHOSBJcD0malqqWXImIFnMml2LWr80T7kiMAqk07fYQDCQzhV30ShB+ENp82shheLJgfLKg/rAgWsyP8nGG2j1BaeWnbwZmDGQf8XgU7JFwbsYIVCSIhj5rN+eQuWAyL6jfcDCOsWDP2TFmKUK7EE8ZtBJUtnPIJOUVB9Vx2Pynx1ExpE1wLgwAcMOMvGrwDhVz033ihZy0qRHCkJyOkangzKkd0js12lf3yH+vTfWmR/XLO8iRwhkodDtFTiSjZRg9kYCwFc7KfUVWFWQNG0nd+Z3TpLM56YmE0pbiYKVFdnWMO5SkVah9aYepp/Z+/4trwUxrQGlxhLfjYoCD9Qb+axVMqgjWPfKyJpr4yIFD1gv4h7/5SUbPRJQaEZ0XMpTSqL6Dt+pjHDj14hrjZU29NkZ7hmDfYvLqdyE+llLaEkTDgM2HbZyx5eKm3QAEHN6d4tbeLFlNIyeS8vTE4u+OWBB7TzuEW4pJ7FM0M4ynKQKBMAK3nqAdQ1bXPLg3x/3dNpXpMQKbn4sWcrw+TH3DRyYChGHm6x5J016/cEOhZxNEJlDVDLU8IS8fRYRYitj+7TZGGUbPR/SvZqjYOgTvYUBR0ZQ3DCZVDG63aHzPp9gokYcGU0hEbhktO5+xIOfhSRicLxheTMnqmmI2hX2fybGcwWnL7yyf6RNsumTvWByi8AtGowD30DJAdKgpIgeZg3+oMNUc00pRKyGl+RHRjKF2R+HuucgMnLNDol5A/R2PyobBOIZsNmNyImPx8+uWc7sVoEYKIQ2lLcn4uN2ZvLC8yv5OHeoZ3oGiXIkJXjxkfCbFG9jihZxK8Q4lowUFrkY7MP/CNt3nMqL5j8YJ/dEmKD7i8SjYI+HcwNJl/DUfvyuJFzPSM5HNP+SCxm3wv1aj6HnkJcPi81v0LsDGFxQ4mvHJHO/EiLRu8K70iedyop0K0Ytj3GtlVCwsoLRTo3LfwetK3JUAb9VWtVZ22mSzKb3vzZIHMLyUsn1/msqqpHYf6q8HIA15COUbPia3TsF8ukf81AQ1lgSHR2TuQmBSSTxloJbhXisTL2YYB7a2m+zeb+M0UuSJMUjD5NfmKN6r075mkMIcFRMMlbsu8bHUbkOEQc1HdgzHY4QE804dOXCIHtTQMwnuEOLZgtt3Fwj2Jedb+8hEEE0b3IEkmhWU73rEnxrihpmt5FU1KrXXePZYBzURRPslvBMjVCqIIw93KFCzEaX7Hto3eH3wXq3iHrigYXiywDiaM3P75KUjcrujYTsg9DKePraO9jWymtF7NsX/M7s0Lh9y6vQuwz85JJ7VtJd6JG2NtxJw9ql1iqGL91YF7WvcEyPSpkbdtTzQxvsO7oOA2k2X3rMpgzMahMHtKMaLgumFHsHpAf2XY7RrK4jBQw+jDGyEyGaCMxGYxZhwQ0EuUZGk0RqhQw3KUFkVFMsxo1FAvJwSz+cUCwnTv+ujI4e8bKjeU9YRd1y0gnghwytllK4HeF2B84062jcknxmiJgL5uQ7JRoXKHY/+ExnlP7dNeGpA6a5HecXl3sos0fkYJ4Kp9yEopeQBlpecCtZHTa6e2aBUSfC7gvRag8GdJqrrktbBWxrj+RmiEPSeSiGRiNNj9r++QPNNF39+8lPPUQNo89GOR8EeCeemtSCetny96kND9ZaLfzskLxtUK2HvEwVGCsItB3ckeLjRZuGFLTAw/YpLY35AdFCiOBnDdxtgINxQhK+VEdrir7JGQRE7+D1DcAjpsZR0ShO3jaXddFzixYzooi3rhxsK7ULSFPQu5+ipjLnvaUanM/xNF78n8JycvOdRvS8ZX44ROZRWHVpvuIT7goVfc/F7hhMn9shDgzq0uLJ87LLQ6kMuyct2mzE4LglfLxNeDylOR8Qtg7/hMndxD3WzjPduGeFpwushzfqYtKkpbR9tWfY9xlftuDGC4IVDvnvzNMaxgFJnIih87JamEyKvV3D7kvnT+yTTBaqVUGirWCEygXyjhlYg1wPysqFcSohmNfXbMDytiWYM6vSI8oqLaKYcP7nP7c1Zwl1J/bpCDmwy/fD2FO9/7Tw0MvTEwdt02Vyd4nC1ycGvL6G+V+PpZ+9xsFNDu4asqrn31jFwNNG0VYUp7lbQocXU5SXoXypI64bRMxHSs0Wlqfc1lTWb+zu8PUW0WkV/SIVF+wYcC/wtBtZh61zgDcGppWjHkHx3CqenCFddBuc0/u0Q9n0oLHzGDzMmc4Lm2w7iyKlPvSMthzU0iFQibpfJS1Bdt1GTmInRtyuUtwzit5v4+xLzUh+n67C63ia9UQcsCV84BjNxOP7JdYbHBcnDKvFsgYgVeckQ5w43v3cS5+t1JnMGdySQucAdCZJ2QbpeprhZtayZDzyEFmQ7JZK2ZvTZCa77BzUw+/HtceT2Y5qMJHo+5sSJPfY/nWGUdUjB5R555Fh1htDy+tK5jGDFJ/qb8xTNnP4ZGNxv/CDCkS93wUB8KWJ0QqMSi4sSpRx16HL4YkY0DfLAJZgdUzrbQ/gFXk8iEomz4SOUIZnSP5C6CbcdTKzY/KUcr5GQzOeMz6b077QorzoMzmiEsvCCmS9sMjoGk3lN/6RivATr780jM0vVkrEkXHV5uD6NrGTkJTDCUP/iDsWn+0wWCtqNEXmjIFnI2DmoI5/sox3wVn0KHw4fNgl3JePjBSKH+h3B/GyPyorCO1Dk35wiWPNsjqtliC9FxGdijIL6dQejwLk4YPvOtEXn7wb0rk+RtDXHLuwSzWqKZka+kFBZlcTvtBAGDj6V8cyLdzEC0s0yacMu0RsHDeRWgMwgPNTU7v2+bFNWMYS3Arw9B5kJgi0X4xdMFg35i0PeunkS1XNwxpaypEua9qtWQcUZScqbFpAaXYwpAoMJC0w5R7kFUhpa7yi2Pw1ZVZAvpMxc3EemtrgQ7DiUtoVdCLWNrFtvW65wuz0kmjE4d0pUVySTM6l1ep5BhzZnFexJcDVqInBerxI/NWEyfySHpSBuCyanU1QsuPLEKslcTuP5PXa+kjE+ppEPQ5yxYHAKepc10fGMNHHI6znlO54FAwPRsxOE0jTfU9zbmkYlR1i4h4pwx8KQdjab5I2cxoOMypoge26Ie3ZAWteoqQTjWG6tKCyu0gQF5XWJ15NkQ4/hTvVHzMCPZhbE+9i5/VhmBPi3Qx7em8XZd8nLkE4VJO81QQualw+QqeUH+psuwQEMTkrcXZfKk4c4kYCqZRSM79XB13hBbldtD2QkYOCiSxrhGJJjCXJpQrxTZrRRo1RNiGdsJcodCoL7FjwaHBqySxPimYKrF9co3fWpfq2Mu+/gb3iUT/eZLFtmwfRv+xjH8PD+LGoiKG1JnAhkKihtS7yhIC8JZHwk49R3qFRiO/m3HQ5em2N8YMHEh9emqV93EBOF6XoYY2WHmrc18dwR2T2x/NmikdN5pqAzLDM6USDOjRidKKjf1yRNQ+MWqI2AqakR0ZylFp373APOtg84fnHH5spCTe0BVFcka7dmkblF4AtpKD7TR0UWkyUmipv7s2jfIGdiiqUYnSqKyKF28RA+02XnM8Yqm+woVCwpGjnRfGElizQkp2LCFUvjKnKJe+BQtHKyZoFRUL2jEH/qgJmXtqndh94zKfHTExi4R7lNQ7jqIe6WadQmdJ4pqBwbML4SY1LJznoLcWxC0chJZq0T/dzMXZ6+8JD6E4f0Lhn8rqD/ThuMsMj+eWMLBL4hWcwoPXRxu4rJ8RzZdTEKRqdzzFZA4YPftfp7kznNFy7fIqsZbrx5gtp1l8NeBelqW4E1Fr5U3hDIZopTycj3QuRYMVnQTK5GTI7b6N+7FyILkFsB42MF9buWk5o2LTav8bYHWrD2ixKVGoSASS/E60tbN/M1pbM94uWM4FwfESlG5zNqn9ijcseldvPjqJZCZuRHOh4FeyRGYTwbKTkDq2BS+BZZnjY0wabL/l6NtAFZ2RYees8nxGcShIbOQdUKQMaKfOBRTGWE9Zg8U4Tne4yPFxStnHBL4XYk7ekB/ppP/atlgrkx9VuK4lodJJTX7Qqeh5YUPzpuoxqAW6+eRDzXp3/O6rdd+Nx9mqUIqhlFRRO3JO5A4fQVfg/ShqF3Jbcwh08M0Mo6cX303VQiyN5oUtRz4ukC52qf9kLfbltbOUkTTKgpbSqy1GH4c2NG/+oANZEEc2NGJzQUgqCe4PYUpa9VaL8pqf1WBWckySqCvF4Q9DStDwwH+1WoZxx7bpPr6/O8d+sYD9emqf1OicYHDu7IkFZtlJtPZciRgj2feikiLxtGSzB/dp/xRhUxG5MPPPTQxd/wbCVWaaLbDZ554j7Rck50OiWfynAPHdyZyOIJjwoKrVsFRWjhHDITzM13KU2PKeYTBk+mjL8zzeA35uleMsiBg94NkLH4AWPCFicE0bfbIA3Zu01MrKhddy2yfzekfs1F1FPydsbffPVT3NqbpXu7hduXuENoXTck07kFWw8tyT2ZKfjkxXtc/aVb1oHHEicSJFOaYMcBI9CLMYVn8JbGqIUJ33zlCtoxFCWN3zfonQCxGaBdg3epj8wF42VD+G5IPnJttCbB1DIrQ+Roqvcc4vmcrCTAgHeoGLwYkTYMJ57dYHI8J5mC8qqDGknilmUeVKfGNq1wP8Tbdxh2ylAIxCsN/AOFcDVR6jI6m5F8DDA3g6BAfqTjUbBHYhQiFTbpnMH80ztkUzle1zqy9EwEucTvwOhywmQ5x9vwULseWVMTrPokswVuPQFXI/uuVStdDYluNajeVUi3IKvaSl7+623Stq0chV+rktYg3DGITDA8n0EqqVzp4HePsFezMbNnDjj14hrp7Rp5K0Pkgp1xlbWbc5jIofG+JP7UEAMsPr1N72pOZRVK02PcJ3pEnZDoQsx4WaPmIvJWZgn1LU35gYvQdkutf32KYMthbrnD0mfXqdx1SeuG4O0S6lqF6EGN0pYkHvnMXdxD+Fb1FaB/3nDwrGZwCrRr6Dxd0Fzss/klw2RW4ux5PHVynZXb8zgP7TaxdM8jmrEg1d1Pa7KaYfpYF2ffRddyxFzM5DfmSI8nZHXN4aDMzOlDqxZcypGRhUCkMznjxMM/O+D2wQxuRxE89OBIGbkcJqhWQv9KhpEQ/S+7NE708OcnZKciJolHer+GGTs03rZFo6QJy1d28Lp2u1qUrKJHERjKqw6TpyKSlsHfdpn75Cb16y6jk5pg16H5viBugx9klBsRpTWHmdqI8rqkODtheFqz9zyoiaR032NyJrVb1L7i1XuneP3+CeYu76EiwYmX1jl5eQv/EIpygVoPULEgPgwpMrtIlbbtNnz/pQKVCrRrkIkkiV30QmzB0wK8XetA66e6eBs2ehVjC0WpzQ1t/reiSeYym/MT8GCrjYwsWDq6EqEXYqI5jSjlaC0JthXGheJURLDmgTiS2bo8xF/xcX6rgcgl1WcPPpa5qo34SMejYI+EczOewd93SKdz1lemUX1bXs9rBaZj5Y0GZzVi4hDsOKTTlmtpSjmt6wXegSL8XoXaB55d4e+FFKHBiQSj4xo9dnHODjGBJm0I/H3FeEmQhwKe7TP63BhdLhCZRI0U/XtNigBb6k8Ug0nAWqdJNpfi7lm82GBiIzp/T9F9oiBfrSAzSAoFfsHwC2PymzVGB2XQgidObGLKOfJOGVKJX04pyppoTqMDq14STwni+Zyd1Sn2/8ky4ysx2VROXoKsanCPjZksaOS+R/eVORg5mH2fue8WuH0JRlgObC5AGephjMgF8XNj8lrBO7dOMP2apSkJLYinNY3P7jD/2Q1OnN5Fuwb9j9tWCFOA2QvoXc4pVROcsSRfrbB/WEVt+agtH12yDlHEktF+mWoYUwtjStuC5HRMadWhfg+rkWeseKZKYXBjCoAsU5iex+hhnbxa4PYVWkG6mBIv5KzenyFeyCmWY6oLQy69/ACvJxifT/DuhXabO5ex8dYCg9OahW9axkjlz25jpCHZqKDfqTM5l9DwI6q/sEMeOzCVIOdiStuSxn3N3O861B5AeVMQ3A4QBx6ba1No1/DgjWVCJ2NwvsDrKKpXDsnOR0y9pQhuhDgjwfhygjsbIUo5/vk+zkiANBQ7Id69EK9nlYfT6QJnoJjEnpUr37B5SnckiG42UKlg6eweTt+KCIhjY4IbId7SmOLlPmI7wAtyvPkxJnKYbFcsqHg+4YmlTQrPIMs58VMTFlt9Cv+IpTORHGw0fvp5yj9fObdHglsqE8vxTJYNYiQppjK8CwPk/RZGGrwdh3Qmx9t3cJ7uUQFG2NzG1hcNiAyZu6R1TTGVUUwcnL6k8vwBhw+adutyv4qoaOKrEXLVkqor64LRepXw2JBMg5GGolowe6zDeGeGygOHuKVI/QJ5P8SxCyPNW5riuYSk5ZJKj9KGgzOGwcWc3d0GRAqx5ZG2ClTPITgU3No9DYsp6YkYMXDRtyqUJoLwwDA4pTD9EpNjlt7jtyIKvwpDqyjsDSCZ1qibFZorEM0KJosFplTgbrpsfEFivJzSzBjPKRiOQkQuWH93gdYtGJwp0diwFdPJDIzO5Ba/V8/RRvDw2gK6pAmWx/TTCkIZ5IGLDgyVBw6TuIpuWmUVkyn0Ue6r1J4Qr1YxzQzR9RhMAiZ7ZdxFg8ltj4mDlzOqrTGjQYhwNNGf6uEVknHkIx+GCAXhriCetvnOwcWc5tTIKvpGkvKWYPBEweRenfcqVcRyQeNNH6OsGkfpoctkOUfWMvaeC6isCFYrU6jQEOxKmncLdhou77sL6FShug6isDCWyZyxXNKFozxoYsG+1RVJVpZE8wWmorn77ROURoJoVtO730J7msNnCpyhonEL4hmXY8t77PzTZQo/IF3MKW04pA1DHhg8R2A+20X0Q8xYUivHdKng9WyEqV0bkSKg/9vzuGXIqw7Gtcq6pXeqTI5nKGEo7lbI2jl4mup7HmkD/JWAa+4iUmJhSp7dmRShIasIe57Sx+FwBMUjkk/7KPZIjNSUNKPnIkilbXoRSwbXp9ClAmo52XKK23FIWwXFmw3GW1Wa7yk48HEbMXKiKHwD8wli4IKBmWd27WeHGqdjISSykVIkiuJYjLM4oXMZmtcF5o06FILKAyu876mCPIBg31DaFei9gHS6wCxbXuLghORM4wB3JSDcVkzOJgwu5HgHCnno4h0qgss9KisOMrPbibShabzjobZ90ILKhtV4m8wJ218g1FTuO1TvOaQ7JRa/sop3oDh3dZ3hqYLqA0URQO8ieH07ESrNCU4kULHAn4pIHlYZ3mni3g0xmaRxGw4/kZHNpUSzhtFxTV4BXI1/ZkD5rsfOdtPyKB1NtlbGHIuQ+x7BvqR2RxHNWaag01OIRkrw0KPywGHum4rkYRUxm6C2fWQqSO/WqM0PETnIoa3Khise+ZtNnC2foJwy3K8Qr1WRNyvIHBqXDxmdKixcp2IoP3TorTTx9y0taryoIZP4h0dNeqoZ2oPxkr0Gad1Qv+lg+h7epT7DMznujkdwIJmczNh/2kJcStdCgoceRSvDGdmqqEphcBqCFw+p3bLr/JknNlA/d8DkdIoJNMFUhDBWpsgd2VSJGtvccGVV0D8DYibh3t15RqdzhAZ/37HQlVpBZV2QBzDYqnJsvoN2oF0ag4FoTlO/cGiVoGetAGhatWR870BRpApvz2Hm85uIWBHuSYIDgdOzxaa0DmlTEy9m+L6tbpdv+BSHPitbbeRsTDxTMPu5TV566s5PP08BjfxIx6Ngj8QoTCZZ/AeuvcEEnDq3g0rB23OY+pbldmrPUFsYkkxparcUg1O2+0++W0I3MpyxwL0b4sxOrDb9N+bo3m5RuevSvHqA+2wXIQyVW54N772cJ168x3heEF+OINBEs4ZwKqI7CcmqhoMXCqIXR3hdSf2Gg3unhDk9ZnIu4XZnGi6MmCxZlgQCZp/fQTtQ2hVcnN4l/Nw+C89towcuJijovxDjnxsQ7kj6n41AQnIuYrJcMH9uH+1YLJdxDXduLCFzuPvuMsbXOBOb6M9rBdN/et1q4N22OCmvJ0iGFvkvC8hDS/4u7xaovoMYO5S2oLQtKW8aKATRWpXx2RQ0hKcHeNWU6n1JMXQp2imTYwWD8/a661puaWc7AfFyhn9oyELB1HuC+rdsc5jSjpXhznJFupBRuydxx5BeiojPxuRzKVE/oDXXtxALA+mUJv2dtm044xjcofgBhziraqbeNxStHDlSzL6V4h04yAOP+KURAJcvrpO3LElcNhPkNxpUVhzbc6JhqL/vIgr49M9fI35qQnwywdvyyC9M8JbHyHMj3JEgzR0GF3IqK5JB6tO712J5+RCn6xD3rQabXogtW+LkmKJs85mD01akIHwnxOkp1ESSNgxpsyB6bkJzoU/vCeuMg12H1XszOGPB9t8/QXAoCPYknc2GdZorIdFizvkv3md0KkddHGJygTk9YfvVRUypYHQqJ3puYgHkjiE5E+N1JP6WS3a3RrkaMzqd2UXodkCR2WBhfa/FW9+48NPPUyNIjfpIx6Ngj8S29Ps82/GSpvGBw+ZUnbSlqd1RJA1w75Qorxv0vQZBU5DWITzTJ0kc9GYJPXDtpNiXxH2f2qbEmRjShmB0Kmf8sMXsqQM8p2DslggOBKNqhXcHAU5oaHwroPupBD2TIN6qETcMxjeoiUTuVexWsWdwR9D3ylS6gnHVJr6rW5LqhqbwoHt/HrGo6V3Oef3Nc8yf3yPTksbigP5aHTFWFA8C0mmNXAsp9QXGccgvj+h8bw6JlQaSkY02okUbDeZS0Xm6QLga4RfcvbGIcQ3uEU4qq9r2h0XJwgbExRG1IGHv6TZF2XYPG54KEIVhfKyw3aZ2JZW3XTpXINmvU1mFvAwYgbvjkVctyV4UArXv2l4DvkXw988fRSUPLLHd68PwdE7cU2SHIaX2hOFJB69nnWX5oUPSshzUznad4JkhoZ+S3msyuJQhjro8JVNWPVjkoGJL0QqqCbIeMVys2fZ6icDcL+Mkguu3lm0xyjWYnYDRcxGm44O0AODBGU2wJ3l14wRmO6CyLRmdz/CdgmSrTLgjrdrMXhk1kTiRYWethT+Q7HRq5DMpZBJ3IMh0QNARmK0KJ7+8xvawSrgnmcxrGk8cIDOH0ShArQTITCJ6IdmwhF+x+EwjQcYSfSIiG5TIKvamVyNJsA9pQ5BOwa1vnKbyRI/83QalFOJZh/qzB6QPmpTXFNp1cCaQ9x2KpyMan+izs9aidtNFHzZsyuYsRKdTKtcDxksFxcQB/+OhDehHJJ/2UeyRcG7CQP+kQ/UBFlT6oIKXCEYvRhRjh9LUhGK/zuiYIZ9JcIOc/HYdUYBuaMINRXJ1gtgtoSo5w9M2kgp2FHnJSmHvd6uY3QDR1PgdiQhzTC7xzg/oViq0p4b0RyHRYoFIBc0PBNG0Jd2PzmWkTQXTCUJAcDdgfEJDJaM4DEiqgrhtQaLlE33Mq03yEuzcmEHXc9uD07XbKJmCbmboSGFcSXnN9l3NA0Nl3/ZnCH5pj85bMz9onBLsSqZuaja+6FqIQU+Sn4hJrqboTKK2fdSeR+lcj0GnTPhelVFQIT2egjQYLXBPDclSB2cjtG0OU9j7pBUGqMyN6M6WECP1A0dENWN+tsfeu7MIA6OnYuSuT7imjmR5bL/N6qqh8+UYUQj8Bw4yczFTgnBHUlvV1F8+ZC+eRgea2k2HwaWMeD/E7FfR0zmqklH5bonxJya0m0N29+oYYdUt9l4ymF5AsGGlgPJ2anFu93ziswlhJcH7Zg0nsq0HnZ3Q5tKWNOlsTrDp2p3sP6oSvWwIOoa442B2KgSpYHIiA08jXY3OPMZLgvKKa6lzWyH+8hj5ftVq1yWC0ekMp5qxst8i6wZwNkUoQ+/9NvpYhFKa4lSM2fPxD2wUZwQkU+AOBV5PksrANhUa2t96NJfRv6SgEBb+dCJGFpL4eIq3bZWY+9emCCLB6FyGiBSl5SHRIEDlip2NFuFURDTj2AWpntFujYgzh8mCQ/WBIg+V/a4/pdmCwiOx2ftI9mg4t6BgeKqgvK4YL2qrQb+UUiklFH5G8UGd/sUCZygRytCqj0nWyiRT4GwqG1XkksUvr7Gy38KbG1u2wqrdts18w2W86DE+kzK70KM7LGEGPs6hQzg7YOwaDu9M2a5MyiZiO5+2k6dejhittDFTKa5bYLTg8PMJ8zM9Dt6YtTewEsRnEoL7PsNOGa9qZZDEbIKrCszDMmo5xnFzIl3iyVMbvHfnGLowzP3JNe5tT1PbEIyOG/JKgXNtBie1Fbfvc1Y3/1SG3POtVta5MWY3xN+3DkafG+O9W2bYt5M7Ws6QkUJMFFRz1JZPfryg2A9QGkxYMDoFzfkB3a06zu80aAgYLRsrSjCT0GiO2X93lqBjlT7kvocONJMlgTMWVB/A8KRBexC+G1rp81lD1s4Qu2XkjCFpCcq/OYt5LqFci5kMajTfcYjmbAexYNchHyn6l3OCOyV6uoRTsmR/Z2yIY4V5ckLedcjPR7hrIe7ZAdG8gzx0Ebd9+lftpHUPbQLfP7DwE9VXlJ49YDAs0XuqYKk+YrtZxxiB/3bI6HiBU83I+x46toBjvyMYL2uKSoG375CvlQkyECfGJBOP2d91SOou/YsFlAtq1zyGTyWWWgdkAw+RS5y5iObFIQdv2uuXVSzBfzJvx1d/oBktWRBw6YFtVB3NaZyJQG74yEGAeiKi8FwrDjCxIpfqXh2vL4mKKrUVSXioOXhCkIwqOAV4HUXj9CGFlmTXGjiOYfBESuNNj2Lnp1cFeVxQ+AnMUwUylnh9gzC2EbC/4ZHcrpNsVJCXB4hckM1kuGs+nWu2O3O0kDM5mZE2Df79gJ3fOMbUr5VwXq2hr9UZnc4wnqFz1QJo5chh9K0ZirWylS2ayunca1GaHmOaGTIVVFah+b7A2fT55VPvs31zBjVSlK4HFGtlEAa557Fzc4ZsOSVv5Yin+zB2SM5FhLXYqpD0JOz45PshFz+xgncjhFsVymuKu799GtVXyFRw79oSQkDxpS5mMSaYjvD6gqxqqN1wGT8fkdbA9D30dIqKJJXfLTPzukA+3SdZTLm0sIP7cgc3yEGC23GonexhKjnuhkfjNrjvlzGlgvaTe1w+vWnVNSY+iycOyCowOmY4/fwaL7x8C2fTZ/RBi7xkxUCz2cxq8AtQkUCcHdG7ZOV0ehcM4pNdBldSisWY8j2PcENhXEPWzhkvGSrv+0yGPkYaehcN8VJK2iqIFzMwlhI181aOKECeGjG8nNJ9+ki95ZrVnCt/r0Re0SSxh2wluENpe6V6GqeSIXLwetI2KTbgH0r6gzLuzRJp7LL3vXnyRDE31SetWWpT7Rsh5dkxtTuWLzo6ofGOjzhxao/CPxJt+NwOAAu/7TD8lSHaA2c6wtt0GVy1/W1Ly0PUvRC0wO1J8oOA3fdncYeC0fGCrGKY+somRT3Hea7L3vM2t+p3bUU5adlrmUzb106WC8J3Q4p6jnEhf2pE8XoTHRjiacvkGJzR7HzBFjCciaA4FZNXNN23pul/MGWb5EwVkAt6z1jlk5/WHhcUfgKLJx5FuSA81Pj7Vh4IYajdh3BHkt2rYpRBxIq0Vdhu8XU4d26LYN2lvHEEnMxgMm37YdZf3KNyz8XpKWRiz3PiyhaFD5U1QemWT/m+i3ENceQRVBLihdxGYdNWNPDvvv/ckZ6Wbd1X1HKyiYc7OGqEPHYsyXu7ghGGcjWmuFVF13KyCxPCHYk3O+HGGyeIz8UUnu2poF0wcwlFK8O4huBaSPJ+A7EeEA98onMJpbM9y7GNbOd4GUnCmwEih85TBdoRTAYBrTdc3n/7JPFbLQuWDXKKpZjRzSYktg9FXhLkJUNpxWVnvcX1e4tML3eRtysMvzpHuG9oXj4gzl2+e/u0FSxIBKZSUISG2vseTjumvKpsIWCnhNeRtC8dgIHxMIBc4KwGFBaWSO1kDzlUeD1xJL/t444kpW2Jv+khyjkiluT1gqwqWPsThni2IEsdgjWP5rt2U5GHhrxeMPnEmPpy3yqk3A/RyqBKOUYLilySl61iSXIywT+QVgB0LaD84gFekJGdigirCQevzaHPjxiey+mfMyR3a4yejaxQZA5RL2Dt+jzFkYbd1m6DbOCz9XnNpBsSzRjMWhl3JKi0JphI4bsZ2ckYZ6AIdwTBjqL1AWTPjFATyw19uD4NjmEy8XFGgsqawR1AvJyS1QtMNWfm5CGybRvzjJc0M684iAzSsYd5xi7wpU2FO7TNotGC6qrloeqehygsiT+40CN9boQzULS/d9SEuvxxSB5BYcRHOh4FeyScm8wBT9P710YUoaGyYdBnJxS/1GV81jYkMeUCCruaRrOaybEcIQzmypDBKU0R2v6Sg0sZ/edj0lyRPDvCLMf4XYsV2/3aEtm5iMH5wlYKX+jbKKPjUdyqosaS3jMpkwU7qeW+x9T1nPLm0WVShrAW4z3TteKE1Yzm1Ij2yQ6ldYc4dnHGgtr7HnP/yEc7EH6rSvWhxF33mXpin/TKBCSI7QAKQXlxiDB29f1+hyJTCMbDgOHVhKCeoI54s0lbW5rY3JjeBdscZngcavelFVcclJAPQyuX07By1AZ+0P3KKCyMYOww+dY0wQGgYXASDm9PcTAqMzvXo35X2mbJQF7TDK6mBG+WGZ235HIaGe4Y9g5qFLUC90FI/br97sl0gSyg+GYL4xlKO4bypjlC7VtBgWQ2J7xlYTTegSIrA44BBez7xMcTJp8fUX0gadyxifjq10sMVhrIByFILHh4PUQOHGbaA5o3rHClu+4Rz2j7nU9M6HTL1hnfC4n2S7YXxo0KaiSZes/SneSmrfi2PrC/nTsQBDsOqu9QqiZUZ0Z4h8rKPEnL683LhuhBDTWWdPZrcODjnx0wuFAQzxZ0rhqyxLGRvQHVcZB9h+orJRDQuWIoPttHhQXBjoMb5Ay/PYN6EOAOJOeurqMdqD9zwNR3XQtIDgviGQ1nxwSbLuGqy2ROoBIoryjySkHjtmAy8cl2SpYW5lvnV5se/dTz1CDIjPORjkfBHgnnJgq7ZTRv1qmuwP4nc7Kuz+T9Jl++eh23keBXEtvwNpHITNC47nD33WVKQYouF1aau2dY/JokuBPQ3auSjT3Ug4DwwHYpEoWNhGQkIZMYA9GSfa/XExT1HBLJ8Ys76NAQbkuGS4rCA3FlQLkVkd2rMtipEi6OmJ/pMfqgRe9a2+be1srkJSvHs/+kRL7QI56CuAXZsYT+azM4bkF+boIsQLia8VqN8XFLD6usSdxyClqgIwd/zSc+CPE/CHFHwrbrGwlcVVC+2KUoa7Kp3KrvXo5g30cfj9Hv1SmtOsy8qmh8PcS83Kc4FXPqiyuWtzsT2TxadoQVmy4wjmHcDyi0pLpu1VbESFFaV6jAbhlVzyGettub4bmMJ45vIiJlo+oC3BGYUkFaM4xOFbg9SfcSDE9aTm1eMphqjkikBSZfiWxP2AwqNzyMqymf7FN/26f0exVkZtj/TIa7MKb6p7cRORgHKquWKC4KMMqw36ly6d+6TtzWZC2r4Js2C7QR+GEGtZzkVIy/55A2NOnZiKKZ0ztnx+UObOHo4HMp42MadyCIFzOc5TFx7OL/WoO0bRVYwm2BLATJTEF4aoB3YkTjTY/mdUF8v0awowh3FFPvCbyHPuQ2Z9q4JSivW4krZ3LUl2LsITYDhIGZ5pBooSC42iOraTpRifJuzv56k7glrADDQxeRCXRhIR6Vl/ctJq4vGJ3OmXpbkQeC8uslggPJzMV9hiehugKD7Y9LFeQxt/THssIH7VnuYOcpjdtxCLcs5u16Z56ikGQbZZyJbfLBiTHuV/bxBpLR9Ra4xm7dMsPmlwxpS7Ow1EF6BelSyv6zFveUtA2VOx6igMo9h7n/MqB6z4J6k7ah8a5Had3h4do0bjtCfKqL+JcO8V7qkEQu4/0S5S2rFPvsgm1+Pf3MLtlMRj6TWkiCA41XApBwvNklDw1+F0xshQCKexW890uIk2OcbZ9wV6JGFiIwOJ+TjTxKD1xELKlsGMItB/3MkDw0PHNyjaxm6D9sMFMZIXJBsG0Txc36mGBPUnslIDiAeEbTOw/RtMW0mV2f6/cXMdWcPLEAWwREc5bIb0INRnCwX2X/KYfGHRBakNYMRewgCpj/js2JmsT2RLj57VNUH9jOWaNjhrQBsu/gXBwgY6s1VgQaoS3lrboKYqwobUmMBN3xcEa2YbTMAAOTe3Xyz/cZHYPRsnWw6XaZjYMG7kiiFXRfTgk3HfKaprShMFrwyt0z1E73aHwgKTxDsKcI3y3hfruGSSUmlyRzGbUHEj12Kd33mHnb4tSEhtH5DCfI0O0UPtlDlXKy1OGJpU2ShiCYijAOFCGkdY1IBeO1GvF2mfExw+GLOdrXpA1tQbnGdmlTE5vW6F0wJFPG9ixtGqIXxz+QCDcKDl6bo7ShGOxXAMh/o00eHDVIcqC8LvB7hqKqYT1EaMH+bp3aipXmmjtxyGTeNlMaXMhJG5ru67Po+Zh4SlBa+zhUQT7alvRR2ZY+EvGj8DSVFYfx1RipDHldkEWKYMul+8059OkUQg2fGBBHHt61CkOvYrdAkaBUj5DSEM00kBMobUn201lmrhlkAWnl6Ec/CckzI/JewKgByZRHXilwVwOCA4sOn5xOcQ5ciq7D9FNbrL6zSNHMcEqWqjQ4X2CGLq9+5xLaNzbBfyAYnUvx+hJ9cUS3GtI+2eHOzjQqheEpjVdPyMclwos99CtN0r6PC0zOJsi+C7sBlS0bfY6WLU4ratvmKXE3IDg94tZvnqPWNXSe1tx7f8lCQkoGliMOHzYpF9B7KcHZ9sGAujAkfVAl2JVkT47QQ9sO0AkzvAOf/jmNnI0p9gOq0yPi2KXIFVnFTsbqAwu2zUYe42WDMIr2xT327rZtFKVg+EyMX8rIuwGzTx4y/Ooc7o0asiEYXUppvGX7J4yXNZ0ZY6XJQ8XkcoyZOIR7gqwEw7MFS1+VbH0K8lwy88wunVEJc7eKKCCTPtoxuGNB3BSoGNzuEdwik8ihQ3ozoJizqs5JS9O4Jeg8a3N7IhcsX9lh1WmDsFHm/tOS+Qu7bFZbiLEin9gWfd6rPslxyKZybnzjDHrGkG+XKHcE4ysxytFoLdAjF3WUVyxvuAxPaGr3BcPj0D9tye7a03hzE/LMId/1kbnAzMcYY+9JdwhBx3D4lKa8KRk7moVzh3R25xgvSmQzIgodvHc8Jp8f0QwTOpsNwj2H2jdcuhetuMTkQRuzaBtuN963GoPaN5xaOODecB6/HX0sc/VRKRZ8FHskRiqEobytMYWgmDiENwPUwCGZKihvG5xDFzWRhF5mbyoPFr8Z4/QlMhc8ObeF5+QMLqfoSkFWtjf44IRk93mB92d26X4ite3bYhdcjduIKUKD25eUr3YYL2mipYL2qy6lHetUHn6wwKc//QFi7ODcKiEyQfNYF1nJ0C74cxOMMkx9aYtgzaO4MCJPFcbTHNxvUf52hfKGBZ6WgpTGLcFgv8LoUmqdRq1A9mzkpes55W1N5wmNuDiifKrP4jfHNvHccUgiqxBS3imo3HNov2XJ6e5QUHmlhBpL2+g5swls4xr09RpeVyCe76O1tDzXRmw7R6W2a3w+dqGZklxvkPUCxHZA6WwPuTih/1SKKGD6vYwitAq8/ddmbEQWWj6k6Hh4r1Yprbhs3Z9m/PyEtCYsDWnDxR0ZVGowswluV+LtOyTTBc6Wj0gtNSk6lrFwZp/Nz2ObY3+jyv5bs8S7ZbSDLW44R53sB3YxTKbs/2ee3qV6w1Yxfu5Pv056MiY6nmIURF8e4jUSvK7CP5QME8t2qX7gMVo2NJ7bp/PtObwtF3cgeem52xhp6F7WBJd6tBf7pE2NEfDyc7cZXUj5xYvXkUpjep7tM7ElSFoGFRl0aNCOpdNlNU08ZWhdkxQrFcyeT3AgCc/14MAnT2wnrWjW0DsP5TVF/5zBDXJ23p8lq9luZOXXS5BKohlDul2ms11HVjJGxzT9MxDP5aiNgMp9K7dVWrO0LL9j1VQ2vrVM7bZD8MrHsC01UBj5kY5HwR6JyM0Au5/S1N/2CX9xF/3tGavh/3zEwRccOHIAxa+1MU9ovB6s/Zxvc2i+4bu3T6OCnPJdj8lSgb48oni/QnQ6wdn3GPzOHCVllRn6V63GWPXKgEFapggMw1stKuuCtAaHz9hcUbgnGZ9PuLY/z9KFXXbemaN+S9FxGvYm2hGMijIyEyhp80ZxL8DtKKQDeaUg+uyQYqWCEwkm15q4Pz+AfoDsurTfFaR/qsv4ZpPSliCteriTApkK8vsVxEjQPW+IZgXuAGRq+ZuHlxycCIYnBCZR5JfHqHfKFpg7kZQeePBsn2yzQlbVtK8Z9p5w0KnCHwqS3RLhtmJ4QuMd2u+RNF3SmsHtKbKa1XQwq2WaD7FySG2XynKXYkGSPKgR7gkKzxLMJy+PGOdlWIxQGyGluyUG548ENasZnTCwWD0tyI4lmEwSrHmoFPzzQ1hrIDLJbqeGyAW6UjCZF7gDQdoyhGf6hF6GmQQk2yVGpwvM5KjFYCzp/94cyfMjRKH45t94gbkDzWRGMvXLG9S9iHfuHGf6uX0OHrYwsVVZrn55h/GNGdJc4TzfRb/XBOD6379I84sHRK+3SYYNIheUhqKqeeurlwhz+K3RU5bNcHyCNoKh51NeVYyOG9RY0r+S4e+4OMtjkqFPT7mYuRjT8UkbhmIQYmo54T2frGpAWKyg34O8LEm3Q9u6EcjrkHcUCycOOGyVKbsFye067oqLerHLcK+C03HImjl5SRIsjJlUypTWbbPs0RkbySVt28Dmp5+nguwRoVZ9FHskXKzRgtL0mOxzfbrDEtP/5kNGJwry1KH2ZkBp02LCop8bEm6qIwK4pvoQilaGdAt0ZkUI1VTCiXaHIjSUajGVNcu3HJ/MMY7lq4ocug9aBPsCdyitblwdvIGVMMqqhspn9pib69HZqrN5Y5ZwV9C7mtN+Q5HPWiK6M7aJ6P5/t4j2IWxP0MdjisDmcvK1MnnTdn3KjiWM+wEkytLEmgL9ey04MWZ0TFN7qEmqkvLpPvlUTlYzHH4uIZrRRHO2BV98JiGvWOXYwrNNZMx6iWjaWCn1ApwIomHA1LsSvysZnFAU2yH0XRqf2LXCBMLmuNLZnN6VnCIwtsHzcdtEZHKrQbgrGJ6wlbb6S3sMdytEOxV0oIlmNfFcQf9iTr4XUnsAzr0QmcDwpMbp265h5bdDggPrCNW2T6M5RgYFftdSxp6e22B0JsftSWrVyVHGWpAe4b2QhslKjf31JsW9Csa3xQyRH3Ucm04wApQyhKWE6LNDdj5lSOuwujtFycn4ypMfsL/atIn4OxXEeog2tven+M0WgZtTWzGYCyO0Zxs/ixyr/dfI8c4OEKnAGUN13dim1K0cs15CH/oE2wpnYptnB/sCt+uQlzXFSgUySXB6gI4c6id6NG9AeDPA2XdxxxaSVN60OTmhIZ7Pad6wsurBlmPPGwmyQpH0AsbrVQrfEM0XiG82rQR6CmqoaNyUJGsVTGCj27htOH9uk/YbdopPvbTzsczVxwWFH9dyiZSGySDg+FSX6w8WQcCV41skDSieGxLsS6KDEpMTGSoWOGNJ50mNkIYzC/tWpic3uDdKPDxoIVNBkrhkZZjMGlQthc92j1ZJqy2WVSDYt/mXvGJQXz4gbWrCHcng1RnGvzPL3LEOOtSMno04dWaHyazA8QvUmRHGBQRMvmIT/vFmheqrIX5H0XpHIQorUji4muJ4BUElpbziEC0WDJ5KkDlkQ5+XXr5F/7Skd97KpNduuPgdgYkcaqd7R70INF4pJasYGrchnc+YLGiCA0H9HrSXeuRlw3hRo3Y9S/pfypg8E9kerUHBKPbxDpRtzizAraT4u4491/2ydYLS5tLGS5rapUPcZ7rsrjetCsnigHOXN/BPDpFTie0FOpEMj0Myl1N9CMbTVs23bTt+JVNH4N8U5qpDxHZA/2JO2iz49rXzzLyqSKcKskJx8ZlVyjNjVM1uK92u7btQmR2RNY/09sZHx1Dh3Q3RLpyd2ccYQdKzhZy0oVEPAt7+rUv89mtP4rcj21chEsgcOm/PIBcnBF1D94M2ncsQfLdCVgY9cYhntW0pOVBIafCXR0TzmnhKoBJBsOmSN3PcmYi0qem/EJO3M4oASlsCryvJqwVIQ3y/Bo4hTl16521Otyhp4mkrKplWwVRzupcNS18VDE/aa+b3sFCZHuzv1gm2XKoPlG2WM5GMljXV932yiqGoF/ReSlCpwN13bS5vJLj/xjHb76GWsXV75qeepoaPJlT5WKzywyYNaepAIbh7YxESSbipeP/eEpV1Q3wYMj6V0XrbhsR+V5BXNCqSmInDyhvLzP6GT/eyITqesdDqYy4PKcYupc/sc+r5dfwPSkxuNXAHlmJj1JF6w6wdggE6ezVa7wuymgUEawcG35pFRhK5GbDdq5FcncB6SHwY2htHQJY6hLuCJ55aofi5LklTM5mzjg1l8Nc95N0S+YMK2TMjTFjQnh7Seyqj9MDlO9fPktU1i89v2SqmgWj2qDv8K62jSEvgvlmFRsrBSzmlZkSwKxmdS0l+fkDoZpjAqnjI1EoUfeWZ9ykGLlPf9Gkv9tGvNwj3xA+ar7BaOuo6BeUtATMJzYU+c1etXFTvXov8rSZu18GtJfCtJvdfP8akY6MWPM3Uk3sU8wkzrzj0z4KsZLaRdSKZPBHZjvAbBozg5sN5Lr2wAgIaNxwrrPgrPQCKQnIYlfCcHHXfqtBWVyzUY7RfBmlovSfRjkEl8MLLt5BP9MlqhluvnsT5hl0UarcV029bB502tIWmbJeprlicoMgFXleQH4aM/rU+GCtKOl7SJDM5IlaUNqzzLG9KoomPuVazi+uLI868uEra1DRnBzhOQflMn3PLu7ZFYGwjpuhYhijnoIxV4S0E2VqZyhpWpaUQpPMZacPeP/6aT1Er2H5Z4l3qk9UK0rqlZGUVQMP0J7YZntRU54YIrKCBdkGXNGEzwl3zUZEg2BMMzxZESznBvrB4yF2b0vg47J+nyO2RyLkhDeZBGVHW+B2baFUJyIHD4XNWiSLYdJnMg4hsNU9F0krtzIxx7tTpXML2yywEdS9m6/YCQSHYz5r0+m3MlQnhWyVLWh4InB0HI2ByLCc9meOu+ri7Lr0vRbg3SmQ1g1ZW/QIJxhWETkE09KFa0HrHovW1KxipkPExzbX3TmAcg6hnFGMPeXyM3C5RWbMVTrcnyfZDKg8Vw80pWk8fMtlo4x465PMJm28s4CWCwYUc/II//9Qb/IP+J20uyjPELQjuBBbo/O2aRe9XXLy3XA6/BLPLXcZfn7HQGt/wtbsXEFpw+LSG1SbmdErrDZdgX5A2rAKJDjS6nuGMQsyhTzdV9AcOzliQtTRJS9sOSutlsiq4Y4E7dClKBjOW7I6nMeWc7i+OUdJgckVRKWz1+5jFg2UVSf0uhHs+92tTFqk/bwhLKYPtKmoiiTaqTKohYqygrjHlglFhm7OQW1J554qBZko+a3hna4n8QQWhbU+L7LMj8ps1ZCZI65LafUPvIgSrHto1FD/fQ3dLZG3N8fl9tgY1mqWIJG0ghpK8qqk8cBhfThh5NjmvPn9ISUsm56FQBXnicG+3jZoIer0yjVd9ikCw2mhSmdgmMrPHOhz0KhSRw9SrLuMlfiCAoF1B7S50n88IazFJ06FxW2D+pQ7ut6YYXUoZbVeQtYxjFzZ5+O3jGAVeNWX7nTlMrUAJg5oIqruG/hljVUXeqzL4dIT3bonJoqZ5vEvynTbu2DAu2wbb7uind24G0I9IseCj2KMxUm2jicYNiX9oq4jJlMHrSp66+gB/21bYhLaaZGlTox2D9iHaqmCk3RaVHypQhhuvnqL2ALKKxu0riqWYYzMdhqdz3KHFWE2WCqt+4dgKY7pkt0KVV22vx3Q2o3Shh8gsjGD+zD5KGML7Pu1jPbKKoPeZ2CqV1AouP/0QZyKZetsKVhbLMcVamdo9yeHLGdQyVCJw+5LROdtLoD8skcwUVlro0CPctbScxjWH8IHPr61cpfBtZ/KikePEguRCRBEa9j6f0XmmYOqazbVN9svsrrUYnc7JKobK+S7OnRLGt0yFyn3bT7Tzks0XFr7BtDK8jsK9GxLNW+jE9DddSluSdD7DhAX+gSSZLtCBjXadCSy+EoHGEtQTAankicUty5EdeKhaxvi4LcyokUSXNNEXRghtKK7XwNHMPrdDNPYgKJCLE1AGcoFMbB60fMezskfA4u8J8tmUyppE7vqYXQtunnly11ZSPU16v0baLvj+3BuetIDf8qahtC2Y3GlQfd/HFIK7mzPwnQabb8/bnKBvoJIzvhJD31bm3ZGge1BFfL1JMXGQd8qYyCEb+KhY4K77jE5gu8Qf0TZrtx329mv4foZwNG5kr7O/41C7byl9KsG2joxdwl1JNC3IXplidDHF3XGp3XEwXY8767O2kbSBfKtE3sppLvUZT3y0b+hese0Xi1pB99kMsR7aotCxMZ3tOlnV0H2yINhRFK2jZjQ/tT3uOP9jm0wE9fua7osp409MUGNFtpygEri+PU92MkYNJZWX9hmfSXF7kuYNQfsdm0gvPJtUnTwRofoKvyM4fEb/AH3urgRsHDZwewqVWGFF4xjKmwKnY7fDGIF/dkDchql3BOFDD22s060v99lan2LyfpMiMBw+bFK83EePXNzTQz7x5F0+eLhgYRf/8iH+iSEz7QEqgf65AifMYeAeadobnI5jOab7AeGGoijZ4kTSgs6Tht4T+Q8mqZqPkJWMRntEVtWUqzHhtkSMFO2lHts/l+MNDZV7jm2SoyxtajgKSZoab9fFVAqiWatR5257VK8e4pwbIpS2DX+XUtxjYwafiikCGC8XttlIIi0NLZI405GtYNYNWy+HqNgm9SurAr8d8aA7RbJTQlYyjs8e2rxYJAgOJJV7DloLJnMWsCrGDoPfmLcTLlH4fo6RtheDUZZJMj5pWREiF/RPKlrf9fC7Brk0sXmvbYeql1B69oDG3JDCN8hyRtoqiE4l5MdjZCzofDqhdzkn3BFM5i2lTiqD/FSXvJljhIXNnDu2Q+lmQGnbjjtayhFjZbeFuSCZs9LswtNHiyuoiWB8PCeey3/Q4za4F2DerlN7M+DgKUG4a0UQkoagdyWnewmq7/mU3wktef75DtGMxqukZK2C0XMRjeuS8FZAtpQinukjE4GIFMNRiHutTDqd4x8oqu0xcqQI6gn5TEpeMSSRi7/jWBGI+w5+1zJhsrM/Pc7NtvZTH+l4FOyRcG6UCw6fELx4boWpxsgqg9wO7A2zWoZ9n3w6I8ksqTroCJKWoHde4u86TM4lqKUJ01ND3KGluPj7yiZ865axkHYCwj0Lqxgt2XB+eKrA7wr8RozyCybrVaorhsm8TTzHd+tkcynj603cfStVHu4Kwi1F6TdrVO47GCPYntSo1iOSKUN/GDIZBHQGZdJ2QWVVUf12SGnDFhhEZpH7MsWKINbt6qwSYau9E4HTU+hLIyZDH1ZLNBpjJteahNuS7J0myXOWndDplSGT9M5J3JHBe7dM2IwwyzFyLcAd2Khk/n+0YFkZ21xlZ9tK/7R+L7DV00wy1xhgNIwX7Kobz+eITFCcjFEp5Psh9YcFSbsgWrJ0sXDTofdcQilIGb9nc4N67LDzu0u4A0FeNfhdyw7hbpkitNgtZyQZLxn0xFYE48hj9kSHcHFkI5UzEQsnDoiWCuTShNHJnOFJOHgpZ3m6SzZnG8isdZp8cn6F+doAFQnK74YWpuEXyO0AbyAsoNnXDK8m6OkU3c5w74QMN2q2VZ9nHejtuwtMLsVWTWM6J5iKuHBlHZXa/BbKUMwm1N62QOi8lXP8c6vIWOL2FZNjOXHL2D4egWG8ZMinU0bPRQR7knhac+rsDu6JEYPzObO/uE5W1/QOKshckG+XAMs57l086mAVK6Ktiv0eY0E+8EiuRIStiKxiiGMX3cxwv1tFDKzqsBk5NhfnGovdnDGU3w9sNfqnNGME2siPdDwK9keOQgjxN4QQe0KIDz70WEsI8TUhxN2jv5tHjwshxH8hhLgnhLgmhHjmowxCZxI1Edz4RxfY3WqQtzLSyxNUZpu2eD1J+a7HcKNGvJgxOq6JW4ZwxxDugzp08V+rsHe3TR4akpOxhTp0A2QOqpVYYraB0XFDUdaUNyy1JZ7WpLsl2PEJl4YcPKsp7VjCsUyhOTUiX0oI9wTRlYj+5ZzJ8QztgDs0qLeqZP/VHPnrTSv/vF5CHboIYfCaMc7YMFq2sjZ+B6oPv789EZgz9oYTGhAWhycKKCqaopAYbZ1R4OZo38rkYKDYKVl5n0Mft6tITseWnB2DfLOG7nro4xGzL+xQtGwUODxjhSmNY5AjhXy7SucJQ3lNgYCN/ebR4gDlVUX1noMzHXNlaYt0Osc4hq3PW80webRdFAaWFzpEicfPf+VNnKEk2HKJluxWuFiK6TyTk1ds+z+vJ0jr2k7UeoFIJM5YUnR9Dm60mRyU8LuSYuzS+9YcciJp1CaU58aIApCGB2szSFcTbDk4r9b4jdeeYee/P07jtuW75vUC8TCkdvGQuK0xxyJK9z2cPQ9/xYe+S1bVBLuK8syYwrfCA/6ug3Q07lf2kZEi7gbcvL/A6HSObCXU3vdsx6k5q8kmw5zbdxdofiAob1jnlzcKvL6kvGV/R9VxmZvuYxwbHUphiEce+AX31mbQ1ZywHjP91C5ez6Y/KusCvyOJTqXISoa/rwg+ccAnv/ABbk9ZsQgjMMrgXqsg+y7RrKFxU1Bek3gdxcKz21TWLdxHXBwRPRXZxedjsH+eQLwfZRR/E/iFH3rsPwB+1xhzFvjdo/8DfAU4e3T8JeCvf7RhCOK5HL9jEI5B9R2Knmclkhs5C5/ZoLKhqSwNEKm0UtPLMd2nCkZLBjOXELcN/3/2/izIsiw7z8S+vc985+vzHB7zlBGRc1bWABQKhcJAokmCLbYok5oyycQH8aHbrB/UetNjP0lmepDMKOs2sdvYEtAkSIAACKCAmrNyHmOe3cPn8c73zHvrYXkl0W0kkYXKppK02mbX0vOGh/sN93v22Wut///+6tZJgMZOwHg1x2umfPWbN1mdPaLyxJNGvQJ7kpdgNZT1EuuJST4ehODAwVdzqlsWJ1YM7kzgPQvIv9pH7YRcOL/N1GKPeEbR+0pCeGAZzjvoHMqqoWiUlO2CLPHgUZXRkij5nQRq2yXFN7ssfHODvG4xWxF5S5LurYJ0AmnUuxa1GVG9H2A9g6Ms+tSIvG5JTqfYVk7eFLhhUTM0m2NKXzFeFO9itOXQ+GHE9s1ZKT0DRXXNlRyKBzIsSKfEpJ5OSmZrmTl03p+mqEF4ZBnPWXha4fG/OItby5lbPaK67lBGFjUv7o5kxrDxeJpso8ofvPESRcOQXxxTeyKfF9yLUGHJtReeUpkcE19IMaElvzzGGchJtgwt1HLqTzRnflvE0G7HpYgsennEKPF5cX6DbDGjPTPADQuCexGNp//q3+rGcPiKACbxDJMv7HO838CEBjYjwkPJZ9A5hPuaslVI0vyWhNQMvjymiECvRRw9mJSMh1JRfeSDa3AfnpyqKgXVqx3yq2MuLu5RWffon4Pim10JV54bUIZWoh6bhrJq2NlvEZ/OUIXi8eY0/raPe+CjOx5Ox6UoNDv7LfS1HtV151MYAMpiez7pbMng1iTfu3URuxLTbo6o/nGNyq6mDC0mKimaJeWvdelfzbHnRmx9MM/xiwXBkcZ9u47aDMkWPh8Sr0F9pscXYf2lm5u19gfA8f/k6b8B/KOTj/8R8Df/wvP/rZX1FtBSSs3/pa/CAoHh+LpFH3lEZ/pEM2O8nka5lo13Fxn+1oDhepPqhkPREtyRyhXNh2C7PsVCRtq2pC/JXd4ZOOgHVX743Ws8ejiP34PaE5eZ63vgGsxKIjmaPZdwMiaZsnibPqqREWx79M6DN4ZyIRWbzFGEqRgePJmne3sS60CzOUZZ6F8sqW0ZgkMHXc1pfejDwJP+2lihSskT7Vx0yG41WXt3idWXNol2NZV1F706ErvOhURG9kFJdUMsTNGmx8bTaV5a2qBsFjQ+DmhNDDGhRWeK6vKAJPNIJyA4UpRVOXkOT4G7MkK7lsGqYrRaMHXuiP6NlPNfW2Pq8iHZJy3CQ4X1LLaQLFOVS/lnQkPzoUwArVXsPZpCfblDeFrCp6NdLcLhQogVaiKVocV6xODsyWntckx7YsjN90/T+Cd1/HUp6cx+iPUslROUlD70GS9aOhd8nC91KBol1W0otyuMD6q8+y+fo3YnIP/hJHYnBAvdC1CsJiQzhs4VwDdkUyXugcfubovGLZ/2Jw7uSHp98UpOUZGcCX/Ho33X4g5P/J+Zw8RtKFcS2rcU+bUR7sDBKqg8FlLueE6sZr31JsXA48H7K4zPZZx6dZMsc9GeYbBfE+bahks0N5TE+u1AJraBIaqlZFMFwbk+M5cPUKXCdQ3R3ZB0rS45C4U4FpxjT6bEkzG1q8eiS7xdofvxFKNluRlmE4b2fB9dy7E/aKPHDnk3pGiWuD2X8fmM8ZKRYOiDz4/E+3mc3JRSy0qp7yql7iilbiul/rOT5z+3qvCven6ctdbunHy8C5yoxVgENv7C522ePPev+8f9faXUe0qp98rREOckZyA41JQftEg3azQfgbvto86MmK4PqWxr0rZopqbaA+rLfdK2NPz9dcmyzAcyZStrIsQs6jLKSmbkQt29NwOJgzUQ7jhUtxXRd2oEXdmE7HEAVlHOpwzOlTi7AeWJHcadSJhdlIsvPIDBvQmyuuiYDv56Qno6ZXpyQDwtPb9oZUD63JiJK4c0HmnymiWbz/H7iic7UyQvjtGvduFRldnn9lGHPvl0juMbRkuW1sMSJwYda97/3iWidY8igs5Og+rCAIDi4xaOIyemompRqeLwKznOWFEUDo5bkp7ctQ92m3g7Pk8OJ+n/eAadCgIbKzgj44kEJ5qMsb4hbUvj3n0c0rqtGezXKG418O9UCI8tlWeC93ETRe2DCL8nP28n1tx48TFl36P7aAJTLzl4GaI98VBWNrVMjS9lBMcaO5uSL6f0vpLgaNH39c9Zoj0NQYkuYLRSEs9YgtUByYVEaB5K/LGqBH/HI9pwpQx9EBBPW0ZLEswSHsO5s7v4PbF1RfuKo2vSHhicMdhU070EZuiRTCnMViQYrhLUKz3ihYJiKoeplGB+TG1mJDeC2OHx7QXKwiEIc5y+Q/OxJZ41FHcb1NbF54sCVSso7jV4/blHxM/qHH48I/jwdxpYV34HVgvFxR1JMpYbK8xGlfwHk9Rv+8SL0mIoLw2J5wy6nRF/MImzGTK4LOL2qXeEkVdMZ5Ia1ygI70QStP0zLpGCfG4i3gL4L6y1V4AvAf9AKXWFz7Eq/JmLY2vtiYrnp/57/9Ba+7K19mU3qFEOJf5OWaGvqumU4W8OKFcS8tijF4e4sfQyGvdcjt+bIfuwLSQRbTCexTszINz0KH3LwuohxpFm8dypI7KGobLuEi7LpmDGLt4A+tdTupcN43mROljfMPXaLkpbok2H9h1o3vYIdj2a9ZjDu1PoRDM4LRPO0asxNjBMtwc02yPGmXeCRYfRYQVrFAfbLbovZTgZuIce+fUhlY8iovcqeH/SxDgw+PYcdjKDUuE9iISrP6kZXs5kcmogvRzLRG7bw/3zFjqD9EzCqBdi90PSmRI1m/KVK4/ILsSUsUs29mhMD4m2XCqPfJnM/rjxaZ8vmRMfqN/TqLMjEaH2BFwweiEmWclY/sqmDFnGDulMSXIhIZlQjJdLibuzEE9but9IcCZSqs80N988R21uKKfovkNlS6IG42nBQvk3OjjHEqRt+h7uZoAZu4w+nmD57AF2NiWZMXi7PuPzKdUNmYI3/4c62pWGu/cwAt8QHShMID1AaxQz39jCOT9EGUFt69zyeHMaFIxOFQzOGhpPRehr2xnTS11K33Lu/A7el48pmyX5bE5RgfEwQNdzdFhycXGP4kmNNPEw84lEEkaG2lsR+ZM67sqIIhSmnXUlc7U4leDe6GJP+spv3juLnhHgQdYyDM/lJFOChYovJbixiI8rv3BAuZRgfMvolFwXzbsuZinBGI3X19j9AHcERcWgUo3xLIdfKsjmc2q3A9RuwCsXnpJOCMX6Z77WT7yln8e01Fq7Y6394OTjAXAXOQh9blXhX3Vz2/vJFz757/7J81vA8l/4vKWT5/7SpXJN45bPaKXASRWt74XEhxX8hxEoy/DOBMNlK2P1tmiYZt/NCR+E2D+cpIws8WHlRHArm0W0LylMR70ql19cJ54vMUazfOYAXS3oP5ejtMUbaLyBIm8agn2Xzg/m4PAk1fwc5FXITqUM35sSqcJJzF20ZylHLljYfTqJ+e4Eg/0anlvipDDxnkvt/YhozcM78IR1XzWUu3LyiecsnedLapsKd2xpvRVIM3s5E2DhDRElh4cn5duWbPDOjR7qW0cUNXtS9gToROEfiGbtjU8u4Djyd6d+cDKIOZ9QVC22lTO4mJNeFT7Z9EqH1kKf5pf3CN4RlpgaS5nmbIW4hx6PHs+RTZTYdobbyLBDl/BIeoPRnsKN5Z0U3IrQjyMqv7aHLqD8oIXxLfVzXYoIDp7XqMUY44B9o42ZkQkmnsUElsq6R96w1PwUvR1iZ1KKhRSMYng5ZXw2Y/8VKIfiCMEAytK/khMeSunvOIbNDxfItqqkUyXOWNO9bPE2A2qbhnDXJTjUDFck79XZDTh8NEm0p3l0f57Bgzbzf+bg7nuUoRWT/pEgpLZ6TdyxYuIPI6xRTE4MqT30KAOwiwmLEz0homSavCX9YmcjZNiNqD7wyVoWNXQpej7ptKF9W1GbHlF7JrBUpcU+hxVIhLMZSuD2kZTIw9fHmL6H2oxIlzKCQ3FFRItDrCtJW96RCz/xzhrFu/dP444VwczPPi2F/3kyFJRSq8ALwNt8DlXhT9ZfdXP7feDvnXz894Df+wvP/6cn9fGXgN5feKH/1hXsOYKG1iJD6J0FPIPfB33g43dFnjH93ono0sKzX9cErx7TeUWCRtASkYeFeMbixkJ/zbshd26tEO04ZInLxtNplIKgmeBtBBgP3JFCFVKqVLdFH1deG/LKN+4yPpOjOh7JTIHXk7umPzem99UEt5bjDhym3nMYLVowirxwKAMoQ0X/gvSf8qmcaE/+3InVp9PYM+d26T5XkLYkStBqS+2+D40Cr6+pPpGLrFgVCMB4wVD9Zw3Mtydp3xEqbdYyFK2S/FSKe6OL10wp9yIAhqcU1WcONhFHhT7wUYnDxJ+GIoT+51OU359g9Gez5HWwKzHeTMx4VhFe6jJ5/YDaA4/mXQcGHrUTTHb/DNTnBgzOF6QtSz5R0PrFXXShOPxkhmymEJ1dVzO+1SZZKMknDErJICJ+YYzNNY33QpxKgc5kcm2jknu3lyVh651Ivud9n8kf++KbDC0zb7jkNcgvxuLzreaMVuS0tTDZY+XFLUxoeP3GQ4qpHDWd4iSKpK0JjwSQUNmRzdAsJgJOaMmwxe8phkuayp76NBfWupILO+hWCF88JmkLNj4rHEanSoZXUyrVhO7vLOImoGPF9HKH6kOf6pZCewb/K0d4IzHKz/5IU1vTdK5a9Pdb5F8Sb7LaDYn2NcGRJv6VgWDCQysnvOspy9MdKrMjvIHCOfaIFwt613PGB1UJhU6k7K5MjOV9vKGoPvRJZwvSkf9XvNT/1RLk0WeGVU79pO108vj7/7qvqZSqAf8U+M+ttf3/8ff7q1WFP1mfRQry/wHeBC4qpTaVUv974L8CfkUp9RD45sn/A/wR8AR4BPy/gP/jZ3kR1oV0umTy6ztUZ0a4jQwF8mZ2wfgy2cxbJW4iGOkyspy6tEvoi5dx8hPh4buxolxOcM8MyeuKdOokS8CxxAsl1Q8l/i64HZFvV8kmxflgHZj6QDbQ7iWhA2djj61Rk9XVfepPNNV1SUmaeH2XfKtKdDPClIpiKmc8Jxapqbcd8sd1spbhwt+5Lz/kTEGuRXqxJQ6JZFI2ua0fL9L6xKX5xFB79RCUfO96a0xRsYyvJBSRxaQO8YyUj73z0HsxpXdO0f9qggkNbtehWk9w/7xF7fsVak8lxCadLAl/4RC35+JcHlDWS+Yv7nP4qsGciRnPSPZA9tqAua9sobUh361Qf2YYP2qyt9NidKqkd0lOQdGRYfYNTTmXob/TFgDBdIGKHZLfnaW4OKaYyvHqKW6s0FcG5Msp7kQC1YJ84DP3YwnaDjd9hqsG0/UlQyIy1B542EpJUbFER+INHS2XDFYgn86JNh32v1wSdKH6XkSRuNjdkHDHQSUOG3ttnmxME+w7vP3ORaJGwoWFPeIzKYPThqwB4a/t03tF+nbh7QiFxDkmU5Z4oSCvQ/+5jPFKga7mVBaG/PK5+wTVjF6vwuDVmGyqZLDexOto3H2f8u023cuWtCkumvxfTnPlN+/TvZbjPAvpHEiKVzJhiac0/ecymdwG0KqNT8pnyJoW9UqPidoY5kWUrWcS0Ja1Z9OcmugQzxfoEryJBLcjWsGiVVKGlvG5DPVuU6Cnp0Sk7R07NN8NfqqN4d+0foqe2+FP2k4nj3/4P/1aSikP2dj+sbX2d0+e/tyqws8yLf271tp5a61nrV2y1v7X1toja+0vW2vPW2u/aa09Pvlca639B9bas9baa9ba9/6yrw+AgerSgNdnnlIUmiIWy2u0I+bgaMdhvFyAbzh6ThAzVsPm+wvsPp2k8tTj8GXD8h9JHqa7FqI/rJO2LZVNl9pjl2jLJVoYUgZ8Kro0tYJg34XVEcmFhLQtp4fq5Q4LPypxDn0Gv7PA2pMZ+hfKTyPYjt+aw0SGaF82He2XjM+ntM8c0/+10UljXvHhs2WCA6FeRFsulR3NeEEGHca3xMsFxdmEZBr2/0ZC/6NJggOHomKJ77SwGlxPmsKtD+XOW92w6FxRaSTUXzrEWQtRoWQgmHdadF9KGS2LrMTpujiTKWnhUFYMaeIRbrv0vjdHuOtQebuCOTkFe+/WWXs2jTWa6oZmcEpi8sINn3DXwfqW6EKX/VeEvedu+wxOG5y+BAorC4MzUIxdVOygHlWxDqSxx/nFfYqDkMrdgMZtj+55jb7W46Vv3YH5BOsbisiCaxhdT6i2YopmyeF1KT1VoZi4ayHT5NdH+EcO8YxkVSwsHFPZlfQrdyLBpA7Ve4FMgX1LfBxx9/4SwbOAubcs8VLJ3naLejMmeK5LMmskPS0qcVJF7YlY/V65+BRnpAnuiSj79vE8rlvibAdwGKBjjQ3EqeD3RAy8fHWXdFpM+EUE779zHq+RCVFlYkzWMrTuy6Bi4l1P+oQGOoMKlU2XfEoGBsnjBrs3ZynHLl5XtH7eRoB34LH5L1bRiaaoGfwPazTvgzvSeM0UO5kRPvMlkT6EslESHshNt3fh84j2+/xEvEopBfzXwF1r7f/1L/zR51YVfjHUdo6FH7f4p3deID2OiJ74FDWDdSG5HMtdfNPF6bqkKynel48lZGND4fUF4eNOJgyWXMqzsZzyrg9FMzUSUkN4aEmfNEinhKyKtuhQJnF5N8TZCei/nFDd1Azvt9l/0cXMpBy9KqSI5j1HuP+eGM6DiZjjX04kEekwIFwL6Dxto+7VmLx4xPRLezgPK7QeiBYrb0g/xZ0fU0YGJ1G0PnFhV/DZdjckmxQHQLSvJL6tUpL3fSl16zB1s+To9Zx4NYP3mxx3qyLFOPAF8fRcjL8pWO8ylH5YEOYM9mu0bwoyPD2TUts0xKsZgzOGdKYknTYMzxa4UUG7OSJrWUarBZVtjU4hmSupPHOJ77dgIUGlmuhKF50rzGRObVaSldyhwum5OGP5XosvbbM6f8RWr8npKzvS8/ulDjqHaphx92gGuxvidF2qmwpv38PmmlEnkuHPkSLc8KluavZeA3xDPvDJ64bSh+B+RGk0o6sJfk8RvVVFpQ5lCO7YQikUjnDHRRfS85s9c4hXy0hutxg/blJ9phktWqJND1UID0+PNe89OSXT+csxNnHojiPsWy38830qO5pwX6NyBVrgC+lkybP7s9JWeKYZrZbUzvQI36vSeAx57qBTqQyGK5ZkUlFElmjfEn2vTnwhxT9wCQ+VTEaA1dV98oah//EkE7csEzctRQV0IS2UvGEZrII6M6Jei3F2A5EP/foeg1XwD1ziGbkZ1p797Je62K/0Z3p8hvUV4H8DfEMp9dHJ4zf4HKvCLwQVxIkl21I/C1FK7mzUc4wr6vl8wuDND6n8qMnQcxmFAUFHEc/IRewtjEj7Af0vxbS/G1H6ihFV8tMJqpSyo3dRuGIz78DRNcSs/zQknTBML3foNivYXkA6YSlDg9VCunVqOSbVJJPIhpgJQvrS9BFPv7tK3jSoXJEsZ2AVtqdZqPXpZSHeCAbLmvKFAcUgQI0czNMqlZ4iPBLngt/VWAU3Xn7Ere158uMQv28FxeRYpt/wyKuKeFbCbxo3ffoXC8lesBDc6FA8btJ8qDicdFEewmfTiMapG1GfGdK52uCvX77FH9y6zmBZaLg6B11IaVT6iixwyP9omtCHMtQiQ3FA5Sf9qcBS+bBC1rIU77TRVYv3MEDFAfZ0Cc/3MSPR+LGUsvZsGlIp559cCmG+INtswOWU0XobZ+QQ9CWaLmshgdLVDPdWjWTGYOoFXi3DKPDvVykyD2XAP9fHftAUacQ7M+iaES9qpcDZDtDXexxP1aTH2rQkqyluUNJujtjdmMA9dnET+TcNLhQ05gb0OxXUwMUbOiKO3gtI2xalLbUnLvpeU4KaFUzcKdj/ezHVd+sn8AWD28okeCd1GJwDajn9gxqTPcvxL6S4j2tMPb/P/mKDIMop7tUpq4bOZU10qYObeGB9Sl9OYkXFsljtsa7nKEPL7i+VNG966AKMeyK8Pmmj2Z0Kw1GVmY8M298ylO/NoFyor8HxVzJsrvH6n4/O7fOyVllrf8S/2c7/y/+az7fAP/hpvscX4uSmyk9vVhTNktGpgvqHIWUI/qMInShGxxF5A2jlFLlDEcrn65kE7906FGJXyhqK8K/vUS4nhHdFrxTtiW4o3NMMlzSqAJVJSrc7VvQ+mqLyZhX/0JFJni8AwNpDj3o1ET1YUyxbRWR5/sYTnnXapFMl7vKIoKOo3feZ/3OH9n1LXHis70wSHohRnns11NjBnxvjn+8TdCzDFQFOlqElOrAcxjXq1QRVk8i5MrDonkv3Igy/MiZdzqg/cOlfkQFGuB7gPQ1JM5eyVXD4WinK/lbJ6FKKzmH5yi4Uivn6AKziD95+kWAtkLAYXzyfqhAfovGg0khIW9C/eIKnnoTxgmXx6h4mkEnr8GyB31EnGRCG+FQuvzujmG0OYOhRfebgPIpQQ5fKhsvodAGZxu1Iopmz76PrOedeesaLv34H9yvHxJcS8ukc75OaTCknMnAspnTIjkKC611++Rc/Qq+OSMY+yZzAK40j2QU4FtcXcsq4I8OU8elcWgSHPv7NCt2bUzRmhugS7PUBtpGjx5rhkybuno8zlTJetEx/VGIiQ3k2plpJJdrxpC+bPG4wnnZQH9cZns9p34HKEx/vkxqT35epqjuRcGrhCO/A5ejVAptJGbl/2CC6FaE+aLD6+gbVNdEIFu+2ycfSd0zmSvK6IThWvPHJBYJ9h/YthXfoUlQhr1kq25rKrqJs5zJ9rhdkszmH1zWNOx61DahdPeboxRK/kjH9I+kVfx7rPyiHwr+LVdQttS8doM8OCXdcggOH0bIIU1Uh/bX5P3NJVjImvxtQrScoI/iYRl0mQ5XpEReW90imLckfzlKrJ8TzJe2v7tK/WBDPl7gJGAf8vkKnGnYDytMxqhApxk8Su9GC3ymq0IwSJj8SYeXgTAkzKTd/fI6p2ojGQwd1p04yI2Egu1+1DJY1T95fJngUMlpSLLy2LU3dnsZ9v05ZajovCfLcO/SobkJeVWw+mKH7eAIvEDHzuRubLF7Zw6wk2J2QqJ5KivrIobIjGql0piQKcpyooP5QyrhoagyxQzJlebY9iX/g8uz7K7gjxewbivqaxWxWwED90jGDSznhwUmoycMGyVxJtOnidxXe8x3MfML2J3OYwOKvB6hCMVot8YbSC8NC/0KBbeSsPZqFWi59slIJJvxshn/kUH/gUdlWBPsia/CeRGx0Wvz4w4vEqQcWKi0BHVQ3ZaobPg2IPo7wug6LzR5/+slVKj+o4a6FhPsOp67soHMBAijPEIY5TgJOx8PvaIJtD2WhbBaMTxWUvqVdiVHlSd7Fno/OFdVNTVkzhFHGmVefsfnXSqItB+9+hcFWg6wp5WByOQZliWdkYt/60OPohiWZlji/MoCL57cpcoe1x7MiGj500QOXl194RHgnwr7aI14sefB4XuIEh1KpePtyKqOZY+ol7V/c/Vfvx799RP3akbyPBgrrStC2HrgUQ09uIk98KntiMet/Paaz0wDfUK7VyOtyOv5Z1085Lf3/+/pClKXKsUxEYwZvTxN0YXBazPJFEYEFv6MZLIkKPZ5RFLmDjSw6VRxvN6k5kD6t8zD2iS706baqRO+1sUsF29sTYMCdiSkWReeWlwr/Vo30YoLeEM2Qzn3x9GmLd+RS3VLkVXi2PYlzVSgQ4aaHms9J/YDdt+axs/KGDvc0JgATKKpfPUD9YJqsZclncynNGiWqcKnuWI7WazgLCUWm0bEi/1afUT9E7wc0H8JxNaBypHn8wTLOygj3UUS0B+O4jl9A675itCiaJlxD+s4EvhYT/2AVpv5JDXtBi2bvaUBlx3L8YgEW9r6kiHY0fk82pe56C6KSC//Jfd69dxrlWrwNn3jpJOBlEKL2A8pqiT+ZYKaAxMMNCpStYhoF/q5HNpejBi7KKIynKWpgFQSHDnlD8Svf+oB+EfDW+irFYYSOJUPUyx1UM+PlpQ20Mry1dho3VnSuFzjNnKTl4B3IxtfwE2qTY7rPafyJhGyjwtrTGZpdUNeH5E/qDAcuk189JLk7STpb4Awd/GNNqsC0c+ZXD9n8ZI5ytkBlcgp3Z8fYgxrWsVye3uPdO2dQmSa+lLAw22X74TSVHcVoxeBshOStEuNp7PkRI7cquPIwZzQIGZUhx3GFhZkuE9GY28kqTqJw5sd89KMLqIoleKNJFED5wpj0OGJ4RgZlZBq7klEJc9x3mxzszmKnS5oP4KjexpuOqW3B8QsFTiPD80qcUmF6AnwYB1WSWo7jllxb2OHDO6dp3PLIv9KnOxEy+fbnUZb+HFb5Uy9rFY92hPE+nrM0HmrSKUFml6ElvzSW3ttixuhsjr1fw5yOKSuWcCKRLIRDTf3tCOeHTdofOyQXElbP7qGGDuGuy8J/F8jJ5Cii2KsQL+c0GjFYCLY8ITdooC4bweCU2Gjs2Dlp8kqzOX1Ww9RL8tMJUy/voZdHZNfGuDe6MJ1ysNWi/vU9ostdwnWfG+c2wLXUNhQHrxoRrpYKCrF7xY+aeJsBwZk+3SvCestaFr+n8N+vEXQhnYTydEIyLeWsO1JUtjWTb3kkcyXF1SHHLxeYwHLwgiKdLvH6+sReBDcurwPgJJrx2YyiaomXc1598SHusceHP75AsOXjbfgoo2jecUFZJieG+KeGNBYG2MdVgg9q2FTj3qpS3SlxjoXXH274XLq2IZy5kdwvy8hS27BUzvb487ULvPn9qyxM9D9FoTt9F/dmDdvzaXgJkZNjNyqEh3D58ibhJxFqLKfUfKpgmAeMNuoQlpSFw9kXNlGpJq9Ceb9O5UKX5n2hZpjQUFnz0LkiXi5gOsWLckapDF4oFeGOI8Ltbsh4QfDjH75xgdZHnghiU4e5al+IwDcSbDujdeMQPEHZTzTGVHYUc+0Bg06F+eke+UoqmQxvzHHz7gpMptJeeFDFOTskPFYMrmTEcwZ1qw6eAQ06LKmuu0TvV0ie1umfL8WaNdKMFhTVNYfwzRre3zigdUuSzP7WuY/J+4EMDXZq/N3X3hLhtlXc+9PzOAOH0csxUZDhHnl0fiH52a/Tn2co/BVWpghuRxSXxoRHiu5LAqQ0oZGyQ1mKCKp3AtCWoKuo12KKyHJ+5gBzcUgRyRQqbYtp3HENa+vTVLbEMrTzZZd8oiCaGuPPj3DquRyhF1Iq22JDKqqWxgeBHP0dC9MpqpQJl9N1xcZSysVhxi7j35/DuVOj3RwRP2kQ3IuoPfDYXZtkNA5AwSe3Vqne9+mfN5LCvhlwfnGfaFc2H78rJmhzs/mpT1IVkF6KGZ0q6V/KRbS8E5BOl5SnJZcgnZSTWnVpAGtVgl2X9m1JS/KPRU5ifIs+M+TW5gLhrks5mxKt+1Qvd1BRyfawSeVCl+qmIp0p8AeK/GyM+UYHlHhR8yd1vD9oUV+XybMKDMmMYfdvp/g9RXAsp8B7t5bJnh9hA0Myn2N8Se8abjTw36iDhoPvLRCt+YSHWqbUV8dQLfje77/It+9exiwkZHW4+2CRMhKFfe9qzsT7Lndur4hB37GYQvH4wyURG5/PyOZzzBttgo4h/bNpqs8cEWYPFJV1l0YjptiPSN+ZEITUnivi2IUc/8DBVAxeXxPtSQpauOvidlw+fvM83p5H5U5IdC/k6P4kFIpg2+OoWyOdgNxoMIpeHGJPNvZkuuQ/ff0NzNjFTmRkk4byYY3xvEWNXIIjTVmxvHB+HV3LmfhOSDxrSNsShO1MpYxXpO/pZOANhba8t9eEXzmGvsvv3HkJ5Rt5f8aa3/7ul2n8WYXaDyrC2jtQmMOA7uMJCbvxyp/5MrVAYfVnenwR1hfjVSiI50usVSQvj3A6LmUIjfkBOodaNaG4NKYIxRqUTFs6uw0qO5p7b5zG+7hGeX5MOZWRLubkrVKgl77BvNKnviQwQ+/oRD/3/Tr+7QrxOGBhpov99Y5oxXxD/2JJ0D3JFig0zfvOp6e2oCMUEgCMwhsJZaLTq1I2C+JTEtY8t3qEOQxIlk82aVcmwmVDMNgbnRZ5U8CN6ZTADbOmwe075FMF+VTBjZVNqOW4HZfajSNMaCEwlGOX0YpBZ+AkiuxWU0ithWK4osTHqIVGki5nzLUGaG1IT6dE90IwMLrTpv5+yP5b82QftEVeEJ+EOhdaxLlG8OFFo2SwCv2zMFq2uDu+gBsH3qd9Jp2dTFSHvrg8co2JSoJIBNajZYOzOsR4MjyKVzOKisW/WcF/5uMNIHgitA+/D6tn9snOxvhdjVMrSNuCEi/bBX6Yg1V4fU2xXUHFDlMzfVQJvXOa0csCDW29vkd8LiVeKimMJjxwSM7Lzeon0YIqdsiWMpl2DkXMnE4Z1HN9acAvxZSBoNWdTAYKKpd+m3u/Qhla9h5Nofsuo606lU2Xi6+tQSvnH996FadWwMD79PdhtaWyo2nfN7Tuwq2tBTiU/N3mQ0VxKmFw2hB+UJEByUgxWjJ0Xs3FD9seM7zfJtpxKGMHN8zJTqX4pwefJq11rpW4Z4Ykk9La0YkiONSwVv1cLtX/oGCV/y6WKmX87XqSg9m6J5Og0eMmxfNDZmpDyk5AfmmMrcodKHomuiTOjCgqlvCDClM/FGuR10pI/3AGdeiTZa5cwFXh2Zs7dbIG+AOI3q+wtTlBb7PJ1HQfr+tQferQeaGQ7ISxS+9SKbYwxGPaOw/OSNP+2OHwZfEBencrKM/g9BzSKcPxBzPUV/r42x7OWBEdWqobivp9j6JmyNZq5K2S+rrFHSratwUbNHET/GZKtO6x9t+fY/H3PIKOInlziuZyDzV2aE0PsbMpulCkkwbval+SunxLXhehbhlZWl/aw9v16f3zBYrcwd31cVLIm5bGYzA+pIviYU2vj9GZwniW6H5A/6UEZyS9LTwD50eUcykvfu0+VoE7FeMfutSvHAuZd7HE+hZ/T5Dt9ceObI436zz/wmNO3dgm365KmEvFMvUj74R6IaleysjklaOA8lc6NH1xD1htYTfgwm88xDt0qd31ib5XZ+INXyQR1RKqBcN3p8jrMP3lHUyhyCcLdnfazH37JMz7gxaNp4bq7YDWXcXgjEFZmH5b4xyJ79cE4A1kSJLsVrEKyuMA61vsL3dIJyzL3zZUthyKVkll1+IO5NRqmgU2LJn7xiZp6RLdDbH7AWXqCBm455BOGurnu4wXS46vKg5fNhgrp/bj56D/1QQOxAqYTEvvVxlwphPINHomIX+/jXdmIGn0UUmxH9F8JyAZBpRTGccvSJiS8764IdSVAVM39omXSpyzw5/9Qv2MJenPy9K/sKwLcy/skh5GVLc0aUuO/jpThG/WeHBriZXzeyxNdQVl7cjFjAKzVaF9X1A9h6+W1Bb75Meh3GVnU5zHEX4fol3h98++UxIvlPTPlYRHlsYtn+q6w8F2C+fckPGSIdzyiHY1Zy9ti/LfQ+68jsUEBneoiWeEg1a7eix6q5MUdBNYsoWM9OM2ykIyKwnq/Ooxg8sZqlQ0Hwiz7fBlQzZdMjwloEtdWMzTKvG5lKKi6J9yGK+Ifay32cQdapIPJwjuRVLKVkq87zSJz2Ry6unKr9PvafbvT1PUDeN5Mdc7iWLwXEbzISIvuZzRuOVjIkvRE3R7cKwJumIy908NmW0NUK6h2KrgrQe8+84Fmo/AGtFhTVbHzJw9wutoqusO1S0hDI8WDbM/0mQXYsaFz7P3F0/kCxbnJGIur4vhPW0bhssnJfRMwrAXcW9vBmvEf2t8y0cfnSGfy1AWutcLeucgXixp3PFg5JK1DOEBHH1/Hm8jwG8IOXf3q0Y2SGC4KG2A41cKol0Nkyn93xzijiULooiEVqILoJ7TviebuDvQxPdauEOFMidIqC2X7lcTimtDVDsjrKe4Rx5Pt6Z49GCe8YUUExnCdZ9wX2FXYvylEYNhhCoUWVvKSbUZ8fwLjzHTGWfnDmidF2zi1S89oTU9JDhCTnHKSp/WQLJXJZ8q8O9FVDccjC9YsOiRgE3djivRjoni1OQxx+/P4E7GJIOf3X71Hxys8t/F0hlsPJsCYHimIJkWYF/r+iHxayPqTxw2b87RTwJak0MaF49xrvYZrZQwnzD4WwPGixJkktxtgWdlorgf4I0UaRvC45NU77ZDdcNBT6X0T0uM3uhKSrTmUT6qYeoF7XuGomY5+idLRJsu6WTJaLXAeFBbd0BZuQgMdI5qqEzRXuwJYnrNQXc80tmCMgSdavILUk6o2CFYGjI4A8GGjw0knT1dyKk/dji+Ij0z3fPk7m1h5vQRM9/YAgP6zJB0siQ+nfHqt27hdl3CY0PrPUEZBR0ojkPs9QGNRyfE4p8MSiyEaz7H16Sv5+17ol5vZbQXeyJ3uDqkc73EiRXujxts3pvFpg7nn9/AOhAeaGrbBe0/iTCh4dlbS+ztNSnqUp7G0ycnGQ86VxS19yO2//AUIKfeo1cLkilD9xICXzyW/pOyMPcjReWdCv5aiNYS5FI0SvyO4OArDwKMC+G2SzFR4PZkmNBe6aBmE3qvJehMrFBZJ2RwI0VZhU40WcuQPT+iumMgV6jXupihR5a6gk7qORLhaCVpXmlL5xKYjSpF1TBxy9JYM6z/x0KkiU9nNBox1SjD5A7crtO+CxM/DPB6Dq2JkYTVnI8pIyhHHslBRO3tSNK9+lqQ9Nry4cNTnFo8pJNExO9MgWO5/+dn6R7VGC3LDRwFajekeG4kHtpYaCBlKFNyq+VErhINKzHxrNgE1w4npG2gLaSfz6X+85PbX2GpVPPK9cc4A4diKse4lvTPpgnfqzKes3h9TfmdSfI3J+g/aGOMRrUz2Ioo7jTIJwqYSln8fkGwIzYWJ1GEh9KMHawommc77H+lRGcSQZfOFuAabCFUCJ0DFg5eUGQTJZ0XC/KGZeHCATrWlPMp4TcOyNoGJwFlFf6mj041cSqePjeR3szEh8K0Kusl5jig/kQM9KGf4w4U6WKO25XQmXDTJ6+epN7f6KEKKBZS3F8+BGDt8az4CXMXv6Px9j1+ePeChO5e0IRdySUYLlmo55SPa/IzG2hmXtijmMrJ2kZeW1UM2rU1OTHb/YBevyKb1zs1Ks9ciqsjBhcF/d2e67P2oxWZWjcsz/6OoQzBGTp4fYUaCSOvsmtJVjPCQ7H62DNj+pdzwkMrOalTJSrTNO9rgmPF5LUD8tmM6o7g3HtnNFkT0rmcZLdKcCgxifmZBNPKJaC4bilq4ggoagbn5S6dozrl0KPejEleHFNUoDozQvsl3lSMqZX4p4YUByHHzynCfZc49nEHDiZxMKdjIcIYxeBCgTvUgm1fSAkPFcGxw2BZ07ms8PY80sWM+sSI7k6D0d022ispfUv3InSuWjDQPZApsP8oQhXg1TJUtaD117cxgVQC1oH6E4174HGmfsS1yR3yqqX+UN43auSQTxQMz+XS45zKsOsV4oWChQsHFBUIXzlitKiobiu8MwOZkCvp1bkjhfNhnYXru6SDAK/1swvdPmdY5f/s6wuhc0OBDQzv3jlD1FWUKxlse4xnLeV8SvA0JJktKCoO0cUujAPMvRpmKcM/2Uy8RooxmtGsK4lXbYPf0fTPIrihNY/ObgO37zCet3ithGKvgrVyoRrforsalTpU9hTmWL5O6x7sMYutGpztgNHdEHs+Y/xyKvas3YDa84f07k+gA6E61E71GMQSdON0Xdyxov8LMa5bMk580tWcaM2niCzJuQQ7cvF6DvUnmqGpi8D3WQATQ/Y221RnRow8wf+Y1RS6Ht6ex2i1hFrBcBjgXO2hjEY9rJHP5cz/icvRc7BzZ4awK6eX8ZzBPfLIZgqK0wVKQePNiG7goZYTOIhIrsSwE+HmivFrY4qDOupUSvgwFL6/8ul8RRhrznaAamaUpUgWlhePOG5ViIKM5OYUnhX6yfBKhoodqOeMvpZQlprxfhMyzWAVnv/le7x985zkKoQleuBQ3bb0/9qQ8MO6EIZLEaKaiwPMVvVTUMDCg5LeGYf4uCVtCs9SPGhg5jLKwhUxdu7gjjTtO5b+qsJ5HFHdAveOx+g3Yxa+vsFOr8Fov0reKknfnOTUN7bYfbQo2bdoSY63UC6XDLsVGncFu4RXnoAnLWeub0lOwrMAXYi9y7MK534VrWBnc54gkYHGcOVE4lMzfPfBBVyvpLot2krrSmQlGlozA5IPJkgnDKzEhF7J7u0Z7PkY88kE2WJOesZgDyswVRI4RgZ0cyUL34fN+RkIDMVB+DNfphZFYb4w56G/dH0hXqkJLfN/5uDvuzgplJsVjC/C2XozprgwRuWaol0Q32tRDjyK0wkkDn5P8eIv3qc4jKi8VyGZlCQiZ6TJ65Z8LsPfc8mujkFbzLwkRbFWRU2kOEMHZWDq3BFTv7BD845YsIaXUxEJPycXjHUNypxM01xD9d0K7oFP8LKkP+mlMfbFPsW5mOFWg2hXUb/rc+GlZ+LLzDXpIKDy3Ro6KojPpJSRpf5RSLTjUgaW+KtDsUL5hrJiGX04iR45jA4rTLztoXLxu+JAeKBwB5rofsBo2aAUJEeR+D8f+ex8XZrmwbFm7mtbWAfO3dhELY+ZXuoS3o5oN0ekX+/jtVPMYUDWALUfYOolxUxGmWu8Sk74KJTN8VxGOZvh7ARU7or30n0WUmxUaT00bN6bRf+oSfKdaWm2I6lbUSNh4kNN7eOQ6htVTOZQaSQ07nqk8wXvPDwt4MmFBO2JViuvKtLjiKwlocrpbEHly4fUolSsWfWc+FLC9jcgbVuh0a6MKSNLWTfYTBM9FfNlkYrtq3dOS5P+8oDuc4a0qSjuNtj59jKVIMPrOkSbLu4Y9r+zSN402LmUIrLEz8WkN8a0fhgSPQhkY9Mw+XsV4sWSolEyzHzoyRDIeFIxJCsZyXzO/Je3mH5pj+zymN7lkqlr+5ShCNGju6GAKr80prJnmXp1TzZ6T6L/yksjyYCNMtK9Cs37isabkeRz5JrgSSA5sfWctBeSLOREuw7JhKa25lB75KHM53Oa+nnP7addpWLnlwzGg/GCmOC8oUIlmtGjJu69CrQy6jNDrGeZ/66D+zRk8n2HeNZy8w8uMfm+Jnl1SDx3Ele3EjP5kWLxD1yKyolxVXEykbLksxlm5Inv9FD8pRtPp8lr0HxaosYuyVwhPkdXMM15u5SchVyTV6Bx+Yh+PyJ7WqfcrVDkEpDi9kRWMTxTcu+TFYKOwA3JNd1LFs8vINeYRsHUX9ska1hMxRAEueSIhgYznTH1icGJFbiWzjVDcOSgwwLqOUUEeVsyRMNDjfpxk8sXNymbBW4MXjsRfVVkebY7gTdQHP72MvnApzeMsC507k+QP65TraS4MzHBsUhW/EZK8CxAOZb69yqkbcOVV9bkhJ04NB9JaHI6UxJe7dJ8oMhrivqaZFzE0xZdIrKZqCTerzBaUgyuZvQulZBI+dS/khNueLTe9iE0eH5BcKvCxC1wE0tl3WXqI0teA7fv0P9wkqOjGnrfRzmSx1l77BAeSflotmTSXpkfUp8ZEi8XBJNC9SiqYpEqahZ7s4E7FRO/PsSeHTM6VeD+d5MEh4pkvqR/XVhuxpXwofpTOeHqxxFFRQYdyUJJcjbl4GVhBUZbLp13Z2jd1Qwu55ISdkrE55U1j833F0gLF3ZCZk4fcdipYxyorQnfrxJmTLaGdK5Y+n86J4TdeoIaulTfqOKeHTIeBVjH0rlhGC2Ltc16hmS+oIwM5jCg+sijedsjnjUMl0Su9JMA6Z952X+/ytIvxOamM2kUlxUjuZUV2eCCYwe/o8naBjtyGT1pYqYy0ob0SIqKYu7aHnnTcvhaif9hjcZjaaDbrYiDr+WMZiUByRQaUo11JfXI3/Spzw0Yns/JWlZSifZcnAy2vyF6Jq/v0Hwod7+5H4NOhOBRu+vjvNzleL8h2J0JCWTJRx7uUOLqiprFaafQyih9GQ6oqCDa0ygFeIZww2ftkwVMaPC6DqNBSG3Nxd/y8DYCdn8rpVhMIVcEh0LS9Z5EQtN9sYfKFcGBQ7ycM7yQ8/DdU/g7HuNXxsy1B8y8KZosPyyYenmP4Qo0b3nwoEp8KqN6tkdtQ9HrVjBbEfGcFd/t3ZoERG+GjBYUplby8M/P0PjYR5WK7tcT/EOHaMtFK8twCTBCP7YeggG6knD4akm4HhDtiC+4ftun9sTB6zokD5so3xC+dEz39RR/xyM5jCgDGC3KBuKNpOUwXiwJjhWnv/KM9sQQ68DyTIfRtYTwlw8YvxiTNQzBsebopRLfLUhvtiQw5mEN/9Ah3HNY+bbgyJPZAmM0zp0a+kEVnWo6lzTll/qoTH1KMqluaprLPTo3JIfBepBXIJso8Y80lXsBTqyYPXWMk8HqV58xWpBowrJeYrYiyTt1oXH1iN6tSdq3Fce9KupZJIDJAJwcksyjN4ow0xnJlCVvGqbrI6bOHTGetXCzjul7oKB1U+OOFP62R+2hR+2xS/WZixsrRhcykUg5Fm8Axy8VknNxZvQzX6c/77n9FZbxobwyxMYeetOhddvFiS1HrxU4A4el7xiGCw69c/IDTtuKxssHjH40zd5xg6JV4nYdkusx5f2I6o6EalQe+xQ1mP7IcKADsukCSkV5fky7OaJzc0p+AAaqTzyhPkxYwm2HZL6URPAGOK2M4UqIjWSiNpwy6FGA7rknL0hTriS0fhyJ0HWk0KWinLUEj0PS6RJ3KqEa5rivjel1qky85UvITKwolDDiHK9kPC+9wnSmJLhXIZ0q8QdiR7OBQcUOTqwwN5t4rsU4lsZdT8zr2uKkmsnfC9n4FRd+scQ7dMm2qmzXAlTDkM2VNG75+H2f9sohO7MtJn4kMoHj5yx+VxEcQe9qgR5rgkOFdV2SpZzyckbtvSrjeZlcZlMF5C5FzRLPaIwv8MbWXcUoDURL1zbYE+9k2ha2GBqKRonqu1T+qEVxSk4vVjvkTUP4WCQpwyVF/7SmtXqEf65k649OkdfBL2HvRwuolmH4aJrlX9hiY2derGA7LuXdSdwTQW5ZK3GGEi6z/4IvjfzHrmCJ6lZyNk6IuOqNBvHlHOUbSt+luDTmcqtLVjgcv1RB5RqsZubsEa0w5sk7Kzhnh3TfnSEawtM3Vmi/dMBhpy7OgUbKyFbRBfiuvHf6p6E4CPFyiDZcihrk52PMXgVnrFGeJW+XuD2H9bVpvGMXcybB+ySiuu6Sti1lKDetMrTEFYteiCmOQmjktFsj0uYkNHJGq+BUCyozQ16df8bjz+Na/YJsXJ9lfSE2NxyL2apQOdRCX5g2MJ/irYcEx4qD65r86hjnSURwL8RqOHjWRi2VOM8i/BKKU4mEZ9QsyYQi3HVRFoarBcZx8fpgHBcTWOo/iDi47uNqmHzugOH3xdda2bV0LgsjrrrmkLw4lnzURxVszeLtuzL5a8HcV7d4djhP/ZnFOi5pqSgjJCYvU+RVy1RryGG1gtfVhI+qDE8ZTDsXT6ajcM/1iY8jpt9wSduKQRDhjRTJaoYaOYRHEB6JlaioKMI9yULNmyXtax2OjmuEdyJKH9ofOxhP0b9UcljROD2X1l3pXeU1RVyHyY80Ry+d4Hte71HzUyrXO/T8Ntdef8RM6fFkfpJWY0TvyRTNcx28DyfkRLfnUowdRosn/4agZPm3fTb+ZoA3FzOu+YSthGyjyuCMlLdWW9pnjsm/N8Vo0ZA3DJVtB/+FLvl+jfDAZffLBtMQrZhZr4IB71cP0W7B8OkU4a5L92mb5n3N6GopvaUEjCvQxvDQsv3OAgSW9EyCHbsks2Ldmn1DcXxVQqjLQOQSwbHkUKCgnMoYz0u/svpORP9KTrAjjoJ0tqT6QYVbxQJeUBA984hPZ9RWurjasH40Qf0JdKoV7GJG3nBFA6kN1XcjRq/ElLmDm0L9KexOTVDpC2evjNTJ79FQXR7gvN0CoPX1XQ7en6WczShNQLAj01m9dxJbWbOUNcNwVWEqJXroMPmJwtyrMJ5TZImid+yj25brp7a4tbmA6fjEGyHffdz8mS9Ti6L892ig8MXY3E7W+EJKa2JE9tYEHEeS89kW5X397Ypc5FUpY3VNjO/De22q147pbDaZPtXh8LBOZgKCI3kTtxb79CpV3F2fYqLAqeUMsohoyyU8tvTGMxBAOmlIpqG2rulfLIlfyDCZg7vtky1lzP+xR/eCIpmxNJ8/ZO3xLMq1HPxKhi0koTxta4qmIZ82tN932Z1uo33LC195yEc/uICaS1BHgg3Kv9kjTzwqax7JJAzPlKhGBt2Q6InP/Nc3WWtNYhKX6uQYs18lmZfeoddzONhsET3zcDKJkFOlPmGOWYqGkWHIDSPZrk+bTMz0OXy9SfWxR++5nOiDJndmaqhSMXH1iI8/OCv9vdMjDt+ew6kZ+g/acF02iqArmjl3pMjnxCq382UHf8tBFwGVI0i+lqBKCVbJro4pE5fOkwmCOpiKoXHPJf3ygNFeDWfgkE4YnNkYM/JIjkPcBYlp7A1DisylecdFffMYPpig96UE/2koWsX5Av/IIdxTdF7IqT7xcC4OSHarVLYcgq4lnlUcXRPbU3wpwcYuupoTuwFlxeB1HIzrSFl+Nad/WVwp9tIQ+7iKjsXOZHON3aripBBse4z2JhieHTHZHJF44gTQYUk0EZM9aLBzdwZWDc56eLKRWcbzGrSVfATEleEkSsKzZ12oW7LpgvHDafRqgjkOcPuadLagPjUi2ZcYR2X59HRe2fKIn4/p/lqJelilumVJL6aYgUdt3eXpPz9LeT0F31BUEcfI57C+KMOCz7K+ENuwysQbGTwL6G02iQ4s4+WCuZd2yVtiecnakE5YvBc6xHOG6FZE+u4EZcXguyW6kTP+wTThg5AytIyWDFZD97iKTRzyVkntgUf1nQrhhR7FcyM6LxQ0H8qJItrVlK2CwRlD67am+m5EdD+gfu2ISiNh70ty57Rnxhw+FYxSa6WLzTSVhz4UcjFEmw7tD1wGZ4S3hYVb//KicLm2Q6Jth6JdkDytAxDPGpJpS2ulSxDlJ6c0y+bbi5hCEzQTxoMAv31iiZoeY0/FVNaEZBIeygWcTMsAozI9glqBXoixoSG5LVkMvXuTtGYGxHMGf98lb1iap3pMXjjicEtM+9aB4iiS08JCLBdhKmTfeEb0aMlsifOwgjkMYDkWF4FrKb/RxX+rLtmvHlyY34dCUVvXRC8eoWs5eR2ynSrN2x5mKkfNpBSHIbrvUln3mGoP8D6pYTaq2KFL+Y0uv7j0CPf5Lq3WiHS2IL8QU3/gYlwYnC1QQSmNfyusOPVKj+5lgypkoJE3LEElF8/rvgRuV9ddJp/fp2wUWAWT77p4HQcda5Ymu+StEl0oxosG3XPJp3MRgZcK40CzlnB4c+ZTV4i7FpI+aJyg3aWv6w2UAD4dsDcGOJ0TYKSVoKMysBShwqxVmf9RweTbwjEsBx7NOw66gNZNl/LtNo3HUNQEbuq0MmqXOiSTltpbETypks0W5HVFrSa2tSIStL4X5SyfOsSbiVm5vPszX6f25wOFn36pAopWgXUsk6c6hP/xnuRE3p3Fm4o/JWU0rx8xGoSE+5rx5ZSsaZl6T0tZeRig7ImIVgFKiKVhTWCJtUcuzbWS/tUc3y0wmxWcnsveVwxloyR9Lqb1oaTVD5ch+tY+JoDBrUnGB1VMZPDP9cnHUraEuy6DuxM0bvmMz2cQGOH471v65yxFu/g0jSteyVGzCdaVkrB+T6xlRd/H6wtgcHh7gvJ+XQzcNUM2XRA9CXBdQ70Zo+5Xad2DU5MdirFLfmPI5Ou75DVF4zECgjxwGHci9KGHelzB6TkS8bYlPs7s7QmcuTHeQFHZUvQ6VSpejh45/NYr76EMtD8RykWeuOhMiT2pamk8AZ1DfbkvlJREYa2inJANebRRZ3CuIOhIfsK9T1ZAwfD5hM5RjWvL25I6tjDC+ZVDbOxQ9j1UK6N1T1HdsvR+NEt8MWH5+W0pG99r8S++/zL5zSbdbpXZlWOeX9lgcK5AlTDxsQN9j/DQknRCdAGVIENPpVS3LJ2rlr/5zbf48vJTbGAomwVOBnnVcvjJDOG2J+HXMxKJZ3zL/p8uUX/kUtQMaibBTmZUHvscfjknWcwpGiXHjyZQy2PSCU5AltK7C/fE4mUDQzxfUt3Q+Mea4mmNiVuKuZd2cc8PcAcO+tyQ8aIInI+ueYyWFW6CiICvF6RzBemEuBBA3tPTsz3KoUf5gwlMaOm9kAGSlTCeN4weN2WIooQ+rR9U2flwDnWvxubNuc/lWrVWfabHF2F9ITY34wNGkS3kjN6c4ngo4cr+4ojLc3vSKD60dPoV9HZIvFRgixPDdV02BxMYsqaov2nm1J846BzUR3Uq2/I521+X7zdRifGGCr00prXYF4nIbkDWlElrdKWL+e1pqpuC4XYaGXqsKUtN9MRn4iMH61qWv53hpBZv16N6QpE9eq2QprkVMaZzUt44TyLckSI8FmmDVbDyh7Dy5U0q2+CeH6BTeVMEx5IoZRXE63X6exKWnLYVT99e5pVLT6lVUnaPmvCtY46+npK15QSlwxKdK8IDhc7Fx5g8P6Z131LcGDLRGJO9MKR/VbJYK15GZUfz+99+Db+j6F621B541NtjvBOvtS7lZ60LCDzR6DmJokwd2u95FM1SdFQanBiytqF1Tyi0znaAe+Dz8E/OkiyUlA9r9PpVao9d6bWOPHoXLJ1fjQm64G0GbL27QHDgYB1oPNGUIUTVlHqQ8uCfXUDlmvoaDH5phE5EqF2ZHDM+m3Gw0WZ5uiOZoIXi7YNVfvida0y/4eLveFSvHRN0FN5QNtTRsmW8muOOYe5NcMcwWjG0T3VE7HszJJ2wTLzrCYPPKPzFEXkvIGvKQMhUDINzBePlgtGpkqCZ0LqrGa6WpDMlxrMMVhR73TrmdkMyEG7XCY4UyZQVr7RzAiDVUHvk4lQL0osxxrdi1+tC8QdTUjpr5Ca1L5kSTnJi28sFpsALfYZfGmMvjkQQfGkolq+fef37ZZz/QvTclG9wmhnlSH5Z5pMGlRyKoxp3jSI7VRDPK2zXp9pRlHMF9Y9CygCGS5bWc0cMn7apr0HWgOY7Ad3nCiobLmXF4uxD1lB8+cX73PztKzwq5wmBfOQxXK/ARIE7UoxXcybecxmYFvmKlGTeCLLYhYrB9wsGqznJgqQodW549J651Jf7DHoR0aU+ZeoR3fUoAwfrWfK6JdgROoXVltIThXoZQeeCy/DWIsGMIl+rEcUwupoSPA3QtZwykkg9p+9SnIuxTyOcTCIDi76Pigq6BzWip5JgHu1o8kJThpZkGprXjjg6qjHVHrD7NZ/gXo1sp0pQUzApQMx7t5axZwsm33MYz4sZ38k04zstXF96keGBBAjP/8jQ+I0RB2WTdEVcCt3XMvwtEcvW7kowdeOhpvNKhrfv4feUGMl9D1spqH/s0/MDzv9HD+mkFZ7dnJdTbCegd0HaA1YLgMAfnKSNVQ3q3SaPVqvwXAa5onvZwWYudjJHd13G+1Wqa/J2Xs/m0Aomb+yz++EcRcPQuaQxvqWz16D61R75wwbjXxswWY0ZpT6jashYWex2KCFA353C86G2ZRidshSRA6FBH3kkA4n2M6GhrJaQabyJhCjMCbyCw0eTqFmBkarJFLZlYm47IWqixOtpkgXBWRXNEv/8iOygii5cVKkYniuofRxR/fo++Q9D3Bj6q0BD0bzr0D9nMLEHrRKv4xAvFFRmRsSbdXAs8SBAuwbndg3tQPG0Sln/fEIUviinss+yvhAnN1sqyr5P47ZH+cKAZDFnfCFFnR9SblbwDxx0pggOxBKltKX0+ZQpX/6h5H12L8rz8Sxcu/qM8XLBxIv7dK5Ywi8f8uP3LhLPif+vvDwEoyhmM4IdmUJSKoa/PKIMxIwcPz9mdCHDr2WE2y7DdWnIW8/gaUN/EBEcOnj/ooUXFoyPKmhtGC0anPkxVotfVWfCKcubhm/9H34sZupQQoCfe36NvG7BKklht9Iwd9dDvL6STAJtKWOX2XdLitDCswhnqNGHPnro4vdlOplcj3G3fUwrx5yJ6dybwA0KDo4boCz5mVgIJV/pYvwTj6Mvb/qp/9UziqtDnL5D73LB9It7lJHFBgIxMM2c/b+dMM59Ko99SB0mZvrQ88gmS6rXjjl+vsTvKpIpQAliKp0yUGiCAy3B1C8VAvHcXORgUMNZGFM0DfaEp2c8sB6ksyKidRJJenJSqD51cY5dsIpoVxPdDQVAcEKIGS+XxHNCbQn3NXsHTVQOwYHY67ylEeGmRzz2CY4Vq5PHHPerjNaamMMAsxvKRlpC1rKSi/E1gzcTM3wpxj30CI4VuufiDoUxt7hwLM6XjSr93TpnWkfYRk5etYT7muo74iQIDh2CfQdnpGk8fwQayvlUNqVBiI416lqfYE/0jPHzY/afTHL8as7RdUs6XZIsZ/S/FOMkkmLvNDIRC1cKfmX1PnoqxevIcMuMPLIJQzpbUrQLorP9f/tF+FmuUwulUZ/p8UVYX4jNTSeKYM8lr0O+XaVxz0P3PNJuyMy7sik4qfREjG+xXZ/WL+1SVCxOBo1nBclSjhNLOLC5OOTWx6dwhw5HH8/gDRS9e5PoXFE0DJVNF7texT9wieopxrf4p4ZyEd2qCSQxgSjK0F0Xs16VQJSThrAzcIjcHPdpiHWkbDBrVSpPPcrckX7UWpXKhot7uU+8mhP80iHVDYffeetVhmdzvMUR7lix9d+fxhsoSWTaDyEW43TeMoxXc2wsd3PlGja/qQiPJV3cSRWNRwpnrOifEyeC6fiosyOUtvzq+bssXNsjjz3sQUCw61H7IMJcGDF61qBsFWSXYnAlkfzRzgzqURWsYvnMAZ2hTKfri33yukG7hrzvs3nQxmrwug6DYQRanATjDyfxj8W3myzmUla7AjxofuIR9MCt5YQ7HvUnmhdXNshzh/DdGq3lLv62R3Vdmu75hTHBrkdRkUhGr6cZnC0ZnctxEsW58zuMTheMz+SgLDYUxp8qFOGBJp+WjVHvicczmS0wtRKloPbKIbbrU9m13Lu9TDbyJUzmSFPZ0bRuu3h9ic3zRgoCg1KW9vdk40unDPqkf4pj2dqcwOmLjm7mxw43//ASM9/1KZtCdi6qIvpNZ0ohCVvo9oX/V/8oJHvUwFqobGu8NxpyYj10qL1ZQScCDI32pQ9au+/jrocier8dEdys4C2MsIXmT55c5u9ceV9aCK54p/1jTfWpg9dxmal/Djw3fm6/+qmXKqVki8+kuCPFzAcxTKboscPuVy16KiVrlxQ1QxkZ9ETG0aBKtK8Zni3Y/qpLuOVRud4RjdxaleDIoZxLKaqGdKqkbBWY0DK1ekzattjlWAi4qUd4qHDfbOBOJ0x9dYdkJSNvWIbdCOvItLCIINzXxPOG4FCz/ccreCNJocIKaieeM+idECeVDWh8LiN9WodScbjTZLRkUJlmarFHOvJJZkqCnpSuZWBhKsVtZehqLndgxzL7QwlGZujhdbREGipLeTqm83IuvcmewlsYMXX6GH23RvAk5J39FXKjmZoe4JyYtfMa5J0AJ1WokYPdC3CPxIJmjnzCI0VlV9H9k3nKe3V0AcXbbepPNGbgSeDK3QhlIDhS2I0K7kCLH/j8GKtOksVGzgmPzMF/oUPWgu5LKWYvxBtIX/PWH18kG/rkdTg3cYh1INqzZC3D8nQHc3FIspxhohL/RgcMNO54OKni0eM58YBWcznJ+4Zo0xV6sg/koiOL9hXhEdSeusx9z4GbdfqjEK+r6V2A5h0H51gS5o1vGS2XDL88Jl4oMUsJXB3gHnpkBxWSn+CcXJid6JPP5KgTH2x1Q1NGlqQtQcmd3xiBEQBpPC+WPaedkl2O5T18GGCtDGi8gagEZEgjftRiNcH4Qud1xpqsbpl+/0Srt5TK7yuArG0xpcavZfhewf/3k5fxnu8AEL1dw9wYkLVEPvR56NMsPx8o/NSrrFvyFUGy5E3D4bUI78kJ/tZA5b0KOtWcvbKNfyzj8myrSla36GpO0JFNprvToPFIkbcL0tMpDDzmzx/gHzlUnnrUF/v4Tol7akgQ5NTWNNHHEcmUlI/GKjYeTxOt+7gjhbfjfyoATc6n1J8ZTE1iAk//9ScsfWud+kqf2gZyyqqU2KWYZMqgx2L3+kmm5vRCl9Zd6cGURhHWMuqPHA5eVPhdhZpJqX4Q4d+sENyPJDhk6LL/JYs5G2NdQ34qpaha9NhBAcGmTxlYGUi8X+fwyQRlKCyvg+0Wu+uTlEaRz+QMzpeUzw1RlZKiVQgtV0HrLvRvZJy9us1w2ZBXhQSb10VfWFQl1q721MVMZSTzUvpZDcV0hgks+esD2Iho3xPWWXRqQP9Ji+qmpb9fI70QowZSyvk9i84t4aEVf61r6Wch+WxO5zmLuzJi7ekMQSD+2+oTD37QxvqW/qVcIKSpwDKVNjQeaYEJnFxP1S2LO3TIJ0qqO4bwyJC1LLvfLKT/+U5NYgxrVhiAhQSxZLMFtXWHytsVVKGofhhR+bMaugC3ryU/opD82/h3Z4WxduTjHbkMX47JzyT0r+SUiwlaW9yGUI69vsbUC4JPKpyb30dPpuhU4+35jL82JL8yhssDmZK+npI3LGovYHg94fhGSXSmTzZdkkwqvAFgFVO/tUHpW6qbiuDDKvZJFb7XpvF+yHgUgrK4Y4v3Xh3jCvjh2cPZz+FK/fdroPCF2NwowQ0Kqs0EGxiC39gnO5XSeKBxZ2IGFwqCQ82jtVncy/1P4/6ypQzb86k/M9SeaVq3XOJZISV4Wz56rNneaZMtZSRXYsb3W/S+M0e2VyFdqzNatPB6F50pxguWUzPHtG65ODGol3tCaF1KhQpiFIPfGqDGDtVnDo//+AwHoyqjx02Mp5h432VirofJtZSZcwnTpzo07jm0PvI4fDyB8RUcBKRvTpJ0QvIGmAUpcfQzSWFa/pV1Fn9pg7x+Yppv5titSE6md0KKesnMuxB+WEFn0DzbEelJBdyhZuZdQ76U0fzEQ1UKBvcmCNd9vK7G80rUsYfblQsy2tOM5xSVRz6Pby0yceGYdNKgzw5xphMJpw5FSF1UZZJZ2RCvbjohvc/KtkZ/UCc8VIwWFOGaz3yzjwkMoyV5k/+vr7/Dqcu7eENF95IlmVT0z4vfVueK+/cX8bc9ylZBehzhDBzyT1ooo6huWwYXc6ItF7ee48RgQ0PzocAkR8sWt5qTTBkISrpfT4Qzl2r2fqlg/xXpbyptMbOpiKWNpKVZBflMjs7BPXYZXMlQBrzFEYPzhdCWz4zJmyXerx5y+fl10ilD5yup5Izm4iN2NkLUTogKS5yNkGK9RpG4hAdaQJef+KRty0anhd0PaT0QrVu+H6HWI8If1snr0nu2rqVsFdjEofbkZN5noQjBG1um/9xn63vLfOUbt4hnLcMzBdUNxXDV4KSWcugSPgzpXBWtnzo1pmwL3PPzWNZ+tscXYX0hNjflWoL3a+R3GjjVnMPb0zBw6b8e8/LyBk49p6hZgnrK+LgiPagCtGvAwPEVRfHVHsMly+lfXMM/ciTNvV6ihi71WwHOpijGjQPBkYMqpXQMvQK/D35HsbY7SVGB4bmCeL0OnsXdEuuLv+ORP2ygc8VopUQX0DmuUT3bo/tixuDrYwY3J3F2pezzblfofjxF1oKp39rA1kqSrw7wl8TA7O+7FFWL+zT8NOzFzqWcqx+y94fL1J86uGPFwu97eEOF34e0ZWkt9tn7Vs7wSoqTw+DuhATFTJUUVUPS1thMM1qyqGOf6qbCXh2gM0XrRALjd5WUmSmYFweUoaXxWN4KOgd1p04Ru6iwxExnhFe7eANo37WkLUuxIPqq8GEo8psXBwxPF8RzhuxCzKMnc3h96R1Wn3j8zu/+IhsfLUg7QEN1W4YEuJZkTsgd/kD6ivgC3mzfE0T44JRsVOmEYXGqy7nfeMzsYofOcxY7lwgNwyiu3FgneBZg9wKshtY9RbjhYwNL43wHGzucXjjE62jSlkVnJ+SZoUM2W6BWxoSNlMFZg7pTp7Luop7vMdMeoDPN4VaT9U4bPZvgBgW1K8eCfxoLVUZZmPhBIBteqyB66pM9P+LommK8aCkaJfFWDa+nUQU07rlU1yVesPdCRryS4/hiC/NqGarQlBEMOxV0rCXa8q91GS0qzLUB33/7qpjnDxz41WMBfv5CAr4MRBqPHNIJSz4W9p+Tfj6nqZ+XpT/lspmmui2/2CDIKacka8B9FvLgv7mEOQwIOoroe3V0VEjYb1PumNaXSWOa+FS3FA+2ZynPjzmzso/KFRMfawbnJWS4nMhxYyQoZiFBV3NGiS+OiMsp1ohlK9x2ad0TZr3XV1SvdODcSDYFz+KOtSj2dwIGGw3CNR/1pCIi3VLM4umUIW+XJDMla3uT+Dsec60BE/UR/peOyZcy6lePWPjStpS0Guyxzxvbp7EaBquG4sqIw78zxriW7CsDipmc4b02DFzcA5942lK71CF8rotOROfUuwB6KAp3d37M8LWYfLtKMltw9OM58tMJed3iDhz6l3OmG0PKczH9iyVHT9qUFUPWlN9F+EgM9dmHbYwHBy+JnQhArYxJzidkE4YsdamtuahcsTjdxd9zRcM1nxM/F5PMFVR2RAenZlOC/2SP8EjRuO0Rbbrom3V0BnbkUr/tY3zoXtCcOb9LdmWMO9JEu5q9Hy9wf3+G3jszmOkM1y+xocF7HPH0T06TnU4wtZL80hjnrx2RVy3N2w7jxEdlmrXdSfl3HSrGy6XE5xWK2cUOzv0q7tt1kYGcj9Gvdkk26mw/nsYZK2qPPIYHVcqDkOC9Gr1HbZw9H7saM7iUf5oRm5+JWVg+Ipkrid6pEl7pfppBaiNDOl1Q/bs7xDMWbyiTaBU7BK0E52kow7X3alDLKa6MCNd9Ji8eCa7pnTbjSynhj+qoUloh+XJGr1tB51COXHTHI54vGZ4yBB2JQpx7cZfkVPazX6dWenef5fFFWF+MV+Fa9r5RkNcs9X9Wp/22T/NMR6ZMkzL2z6swOGuwhSadFsKCsoBvsJeGOG5J7/mMK0s7FF2ffhLy8guPOP6FFP9Q7FfRmo9xpSRwNkP0TkgyDDi6bpn/Iw91JJmayemU49dyKuse43MZ3d062VFI8+u71Nadk7AQ5ELZdShqAlRsXD5C5yLqjHY1jfsy6WQzoogs649mOP7xHL1eBXfHJ/jHE/T+6QKUirnXt6FRkOYuo9MyWXPuVSkKh/KMGNLVwKW6qagv98GIcHl4t032UVsSw+oyNazsapoPwPugRhk7hHua1h2ZRHpPIukXrYx56fJTRr87h9kNsZUCrEJnIqMgVyTnUrBKMl0rIm1AW/SRJ4OJvYBoy2F6YoBxoLKr2D5sYTwYXklRhUZrKxrGr/Qo51LKscvuUZPGL+8yWjZYF5KZkvi1EfhGTO2rI9r3DId/sITaFFR31rKkbYPjGHQKU9+RjVdHBUXNMP1xTuvHAQvf1qhnEckPpijrJcNTFtc1knuxHeINFP3nUzkN+QZTL+m9NUNRsQzPFugMog8jRtt1ak81tcdyAkXB3PIx1jMML0v5WkwU+DcruB2X1vVDcQVshezencHranQOaepRBpbmA4mW9PoOm5/MUd1UdJ4vqWxbJt/TFIVD3pL4wuGljMb7IRN/EOGO4Wtzjykagln3tnysAlUqcVgceWhPNrLFP9XoQkGjoHJWcjHUscfG2hTa/9lzS+HnZelPvRy3JHrioyZS+qc0oyVI35zE7TsMVwvixZK8LjidsCZanjK0TL20h/ZLip0KphQd1a2PT6EqJYcbLd57fIrGe6HkZVYK8fm5QGA+TdCq3gmobmp2ftEKamhCZA/ak6yBxuSIaMNDZ5p+HDKeN5jrA+xSIpYxF1r3pCcy/HgSvwcqlKZ7PCu46Ilb4Pe1/LSVBEY754bs/lrOcEUa1etPp3F3feJOhMoUZjYlWclQmxHlwCNYGYJjGc/LHdwbqE/TrjCC0kFbmaQ5MFhVcipwLemEpX/WUF4bUgZCFXFcw8Y/PH8ysdPUbwbYRo6aTkXuMHb46sWHXFmVIY7x5bVbzxKeHtB44KJTmdjtHzaobxjiaUsYZYRHimtntkRa45aoZxH+d5u0fhyIRGQvoPOjOWbf5tPciuDDKgt/6lJb0wTv14gnRf5R1EsaT09oyFFJ5Ofk10ccfysm6wXoTbHjHV/2GC3C9jcN3jkpk+sPXLyBIn5WJzh0KGrCTwuqGc7KSPhy9z2KmpSNy2cOBHs1Y1k6t0//ekby6hBlBU4w/uNZdKaZW+jQvHhMtO4xXs3RqyOGbwnotIwkrjFfzBjPWZYmu3Ly/80jiorB7yqqW5relVIChp4zJFOK6CMZZOi+S7jpU1QgqytGqyXf3TqPM5HK7y1R5HX5Xbde28MbaE7NHGMc2H9J4/UU+sBnNAjJVlNx4owdqh9Gn8u1+vOy9KddfZd02uAFhUgW2ob02piiUeKMJTbOHSu8gSIZ+wQdBa2M/nfmxFM6nVIkroTrjjWNDwK+/sJdgkpO70aGWhmzMNPFSSC7MaLaiimnMi4/v85opWQ8Z8X4fm1A2SgxsStm6AnLfKMvb9iBwrzTEk7XzToLU12m3nJlahgpKXdDy6Xfuk/wJMB6Vk5f7ZTRglipVFSQNwxFz8fcq+Ft+OTTBX/vF3/I7HJHAlMmxzipwnENlVaM35FE8eJBHavF4+mkkF6OmXp1j8ZTqO5IslflyUk2ad2SzpQUVYu/HuCeGqJTheMYzFJCcOBwdvqQo19L6J+RUJa8Abonmji/q2k81PzwzgXufLJCfQ0wMF4uuHB+m9FeleGKkXIrVrTeDBguaWqbisrvNUhfGLH2e2dwxop0EBBd6uINLdZROENN84EQbw/+Vox+pYvf1WRNS+e8ZrxgCToyyUQDYUnymz1UoaBUHD+awGxFTLcH6KGDe3ZI2raMFg1+XzH9YxetLf6xQxFBvFhQ2dSk5xIqGy7eCx24W6fYqVC83if6pQN0BlNLXXpxSFE1BMeKwx/MM/UjjyJ1yWZzbLVg/NqY5n1F4JScbR/hpKAKuYSyy2OcVzvQzqhtgl+R093TO/MM77Xp35kEIL0+pn++EFq0Y2Vg9HqPIoTqM039sSavisC6f1Yycjv7dcIPK+J5rVrM9QGzb0PvjVnSyZLd7ywRvyhAhbwuWCczdtGOGPebDxTe8Gc/Tlk+28b2883tLyzVLCTw43GN7ssZS+f2sUbh9hyis32ZzJWKyZsWBh7JlIWeh9+zeAsjZid71G/7RGs+4aUu/bOGN56eIemELC8dUZaa7d029pUejmvIHjRofBzw4M1VrGupbov4M92XEgPPEB4r8tmc+w8XCK52qW7D+HRO7VKHrGHZe2+O4YoiO52gSkvvUolaSLj7+xdF8NsS9XirMSaeNWSTJd5GQDmRM73SwX+uR76c4R25/KPvf43DO1N4uz72vSbVDYV7v0I8CqjuWHEcBBadaYpIMTxV4vkFex/Pkkworvzvbov4tSYnu3wmxx1oiqrBv9EhHQbY5YQL0wf4DyLSmZJ7765S9j28gcLpu6SnEyrbWk5bCWRNqDzyOX91i+7XE6qbwsh7+vYyM286MJ1y6ltr4iTwFKNTBaNFiy4t3s0qoxWDN1C4hx6jQUjvPIwWJZFrcOYkoT72GK83ZNDjSvqX8S1pS5G3DNRzKg8C2pUY61mibZfgQKL+9u9P4w00k/UR3rkBZ25sMV4wEgiUO3iX+8x+fYva3JC8IVGBxhNfsQkskx8qylJzdH8Sb6AYJT5Z7qIKhROLpOXoeYsdubjHHiqR8rRzrWTrg3n6WYh9vYfTTnE+qeHfrWB/3Ebv+wyXoVgXP7A3GwuGql5S2XJofjcSinQk+PHgcYh6q0l6JqWyZ+ifLzGzKaUvmxQG3GOP0amSwYVC8PiPaxz/L0aoEqJtR+QehwH+zYo4NVYKvGOXygeR9HKV4vj5z6ks/YyPL8L6Szc3pdSyUuq7Sqk7SqnbSqn/7OT5CaXUt5VSD0/+2z55Ximl/u9KqUdKqU+UUi/+Zd+jiF28riafztF9l52P5wQ8acB3C9zzA/KG4eAlJZQQA7ZW0rlq8N6rs3t3hiKEeKGgLDXtOwr3dpXW7IDdTh0z8Gi+EzA+qDLxOxXCfUXWkLK09YmcvuLTGc27jgh693ysBn/LQ1cKGmHK8BdHUCr6T1sEx0pExZGl1ogZ/EJMuOdwdu6A0heSg9Ji84ozTyahJyUjuSbOPEZbdWwpk0vrin2oqBv0K10Gq5ZkNUUd+4zmFe23fWbehcmPBEZZW+mzPNmlmMqZ+cYW726eEhHslS5OrJj/tktwrPCPHbLMRY0d2A65+6Mz1F49pPbIxe/LnyfXY8qWWKKyhrwthxdykhmDeXHAdr+B3QsYnrIUkbzOzm+MUHsB9z9aQYUl/Qsli6cP8fqKo2uK8vkB1pWsT1WCHxaUgYhqi6qlmMjFBdJxMdWS+jqYxQRWxxKQ44E/PcbZDUivjdk6aFFO5EKeXc1xR4qpDxTF+TGDJCDuhTx6KtqzoKNo/lGVLHPYPm4y3KsR3eigF2KcFDZuz5G3So6vWbJegL88EjLIUUS6VyE81IQdK1rHmVhKxUxsakXPp/pM5BkPbi8x3qph9kOq25ZkriR9YUQ5UZAvpyIgPlCEb9UIjjWVDbEOHn05Q7UyVAmTX9/Bupa8ZvGf+RxfFchCuz0km5LNqJyTwG3rG2ZXjgmfBpSBJTkQMXV4ZFHX+7gjjXXFh1t74tK6d3JxWYjnZID0My8L1qjP9PgirM9inC+A/8Ja+4FSqg68r5T6NvC/Bf7cWvtfKaX+S+C/BP5PwK8D508erwH/z5P//huXk0E2W0ivIbJYxxLuS5J4794k1jnJYhwrgidV3Bi6SjaNn1yQZWgJ91yyfgPVVhQVS/aoRW1d9ExubFn+l7DxmyVz31Ho3NI765A1xRwfbvgMVoXD744Vg/MFOpG9f2ttCh1r3ExRNEqKikz+dAnxvRZBV16Hqw3phHDROAwIB4rxVg07k+Pte6QTEOx4jMKQ+kOH/o2SeMYw/Y5DXlOkLZi8MGZjLsDbEApxUTuJxzslF651DRU/Z//3l2kVsP9okan7JaNZ6C5FODVL74wm2rcYRxHHHl5Pi2YO2WwbG4bOZU1wpChHEbzUw3dLxgSwkOAoS2V6SHyvxQmOH50pvBEMz+bo7QpqXsCIXlDg3Q84nKmSLZR4fU3r96scXVd0LinKisHkDmYqZ+C7TJ7p0Ls5STpdcv7SFp0korcyRfUDcYPkV1JiQGUudibDexLhXBoQpyH5ckr4JCRvGPa/VqJ3Q+J5ixOWKGVxtj2cXzri+EGbZjXB/R8myWqK8VEbJ1OMThe4XQd3JIlnM+85HD1XI56zBO1EpsrThmhPkV8eUwx9/L4mmyxBW8ItT2xdp0fUv1cV+u1kiRfDxEeaeKoKdSkFSx/8vkXFMJ6DoilDMBKH6H5APGcYZR7pUk71vs94Qfy1KtV0H0/gjRXxxZTWWz7jeUXzbRd3xYgFsZ1TvxUwnjd4A022VkM5coNWjmG0DPGcwgQGGjneumyIn8f6opScn2X9pSc3a+2OtfaDk48HwF1gEfgbwD86+bR/BPzNk4//BvDfWllvAS2l1Py/9XtocLon++xyTDmZkyxlqOkUFhKifY3fVyRXYkZL0LkMxWJKOlOSzeWYVk5Rt6RTJW6iZCI6VVA2Shp/bYfhKcPR85bxtIPuuxxfURze0GKyXyrpny/Ja4LpSaYM2YTB7Tu4A0WjEeN1HKFVOFbsMLMFOBZVKNxEMb6SYE4lGKtQs6n0UXxL8dyI9k1N5ZGPPjtk6Rc2yBsGO3bpXyyoPPRpPBFLVTIFbgzrT2ZoNGKcVElzeymjsW7w+op42uIMHPpvztC/XFBUpL+2/QtKmHfHPkWzJJk2dK9YLv/GA4JKTt4wxKdyktmSotD0V7VgeE4wPclGnfTdCc5/dQ3XK7i+tEVyryUC0PlUDPxKUuVbn3gEHY1/R2jGSsvAwhjF5AeavG6IpyTAJJ3PMb5hdqKPGxS4I83hQR3jW8Jdh6fvLDMYhzSeQF6X9HSA5qke9tin9ZbIQpSyND/2sbEjN6qRpjE9ZOpDsYD59yKKsYvOFYM7E0x+rOistzm6YdG/fkjeNER7lmBfTi/ZVIlztc/BC/Je0SmkIx9TLdGpYrAKk38oSv+iZgn2XZof+6hCTvveBzV6FyyVHUv9kUN/VTNclhN7Pl3QvgPNpwbjiWXr/KvrAtLMlZjsX+4zfeGQ+O0pwjWfZMqydGkPt+fi9TX1J/J+t4lD1lJkp1I61yxbG5PUn4J74DM8U2I8GJy2mMjidxTBpoctNN5Afv6VDQd1KD1qXfwUu8K/dT/4fKalSqn/Rim1r5S69Ree+78opbaUUh+dPH7jL/zZ//mkGryvlPrVz/Jaf6qem1JqFXgBeBuYtdbunPzRLvATf8cisPEX/trmyXP/xmU1tO+CO4TKuxWCDSFP2IOA4FZEtGcZ34jlyOsKDscNCmxgqD3wxd/3TBPuOaSTJU4qQEg1dth/ew7rWeprms7XE+prGr+rKCOLkyJpTDOxpDpdRLIgZxJJvfeht9ZC55A9P6JsF3gDkUNUnnikczmTt0rCByHN74fcW5+nWpXszXDHlRi988DLPbKDCu1gjN/VtG66OLEmnjMMThvGC5DMFAzOFngdh/EnbbK2IZ4z1O77HLwE6XPSu3ESgUeGOy5FJELUcHmAdUCnivCkbK8/1bx/+wxlqbBRiVMpcKdjivXaiRzGQFRK9J0n3tZHP1glT11uvnmO5Ze3iN6p4q8HJLMSi1f70gH912OsgrIiljX//RrlVMaZmSO6l2D6PY2TWvKGIdz0mP+BZu/2DNO/KyJqf9tn7k2LEwOnR9i7NQ5fKSXfc1qhBi7d4yqTZzrSm1seE2/VKH+pS+2Rh5OITlErS//MiSQHmJjt074vWa3dCxDOjURwHQeCCToL3rWeyDeOHOJhgAlkStp8DJSKqfmeCHKNYu+b4tsNloaShRpJheGOFPmLwxN+oDTqkylDcKRI5yQdvn8WDm8ookNDGSrW/3SVrGmxtRIcSzLyOf5oGr8H+kYPtOX4u/MUjRJ3pCgqyI3klos3BG/TxwTy8zx+0VDOpUy+J97j4EwfdzLGapm6a19Cos35MSCk4MH5golPfvYT1+fsLf1/A7/2r3n+/2atff7k8UcASqkrwP8SuHryd/4fSqm/tM7+zJubUqoG/FPgP7fW/o/4Kdban7qPqJT6+0qp95RS75WjkZzGXhswnpfeTDppMFFJUbEMTkP7+yE2ccQ7WSuxRtOaGeCOYPEPHYZnShpf3sf6htGSIZ6T5Pe8YYm2HcIjSxDmjF8fMbqW4K2MGJ3JaayXmLUqbqyYeU+mkWXsUmnGktVQQLaSEXxQZfItT57ruyQzhsYdj8GiQ3F1RNZUqI7HeBzg35FGrko1zUcwPq5gg5J3b58BpLFeVg20M8IDTXSjg9t3qK67tO/IxtG+rWjfkXK3/kRTJg6t88fkDYMJpfE+cbfEjcF83CRtKfTpEeXjGk6i6L4oIcN5JyRa87F7AflxSDmZ4+QQzIxRIxfzuEblmYMuFOlMCYcBZWhZ359gcLYkb1jCPU11S3P0cFIw2RdjsumCZMpQVGTDmgj+f+z9WZClSZqehz3u/q9nPydO7BEZuWflXntVrzPdM90ABhgMBwPRKBpBGA1muBAlmWSmC97yTpKZSDPd0AySIIkGEsAAxD7TmJ6l1+qu6tqyKvclMjIy9uXsy7+768KjC6Mhia5GF2AFqd3sWMaWsZ7f/8+/732fd4pYm9C7YsNs1MqUeDHn+EVrID/+qxHFYoKRVrIwvpqQxy5p3TDzoYVzukMIDhTV2z7dxy2KskZvlwgOrR0rbhumZzJqGzD9uGn7eC/0QcPgUYv+eXvjcieCeNeGzSTHoQ2b1lbtjxa0Xj4keHKClAo03atw8cw+/WGJ8ZXUUmg8q41z36qhIsH4QsZ0yd5wlNK4rdi6WVYF7tjKVirrLt6eTVEr7wj65yXjVcPs13aR7QTVdRCuxiSKbDbH7xu879QRhWBywQrXy18+YrKWk4eG/tWc4ZsReclQmrMoLjmV+E8DsqrAGUrC36+h7ldQqZXL1OtTJmczstghvmk3uHDX2hJ/4WWwlNVP8/hZn8qY7wPdT/mVfwv4e8aYxBizATwBXv9Z/+lTbW5CCBe7sf13xph/dPLmg58eN0/+PTx5+w6w+qf++8rJ2/6/ljHmbxljXjXGvKoqZVR8kpjuGYZnNSzFiNhaY7KKhTxWHrvockH5iQtbIdGtFlkF9r4iOHd5l+6g/Ak5Im/mjA4qNO7ZjfLo1xLE+zWUo3H8nHjsoSo5O9+0AsiZ2wXdq4LuNYOYKPTHddLZArkU8eLZ55R3Nb3LhunZFF3PkfMxo1diRucLHLewDeJbAvEsRBjIz0eoqST+5hA1UNRuW5V82tR4Lwy5eXmT6gcBlW1N/6iCca01KZ6xCUm9r8bkgaC0Z4cfJJKsUIhmimml5KHh6GWJ+lqH9ELEzK/uUWyVyOoFlZsd3H2X4MgCE83NETrUCGOnl84EksMSwb6ifKVH8erI4qOqmc1SCAuKkWvlF9pKT0bXEnRYoFOFzgUilXh9iTu0FcPupM7ZuQ55VZPWQN6vcPPKJuXLPbJmgbpd4dRCl6yVk9VtnimA37VHutp9l+mSIXijw+h8brFKXUl5RxAt55Y8sphQ2nCJZgXhkcC9NGS4XyW+aINptGuPg3loUd/aBa+riJYLSnvCailzwf5WC+1AMlfgHroU9ZztPz4FwMJiD9NKUU8DSo98pvOGZDEjaMTMXOxQ3pLEB2X0lo3s065BXh+AhPGFjOJMRG0dhpcKXvwL97n8hQ12Ply0J5BzQ+qNKbW5MW4l5eh1zfjUCRHGWPRXp1uxQuncTpQb9QnuyoRot0K+lFr/bbuwrZxUUNm1r+evjyjf7DKe+rjHDpV7PpW3S6gEosWcybX401zqP3P9HMfS9k+Ll5PH3/yUX+J/fTKI/Ns/HVLyb3AahE83LRXA/wO4b4z5r/7Uu/4Z8NdPXv7rwD/9U2//T0+mpm8Cgz91fP2fXgbSuZzZ1R6iALUY4TgF5W2JKueWyTVnHQlO1yFtmk82EJmDLhes31/CbJaYrFoFu7fvUH3kMjoNzbsCte9T++oBycTj/PwxQhlqP7SA+vKO4fCVk+zMVoZMJGlDE8xEFPsht26d5fBN+xdzKymV1hT1uITjFgSLE6KjkvWaXgWjbOiL8ySkvC1wflBHz1nNk3ENup4x3avw6A/PUfhw+BqIWFF+LnHHMDpXYJoZzvOA4ut9+tdyK114XzF5VkfuBKg9HycSZPWC3nEVnSl8x/a0Ss8dBsMynJkyvhlDIcjXKzj1lHDbuisKH0xYkLwQkb7dIntWYfmlPWrVqe0j9hxwrSneiWz4jJg4eEcnlYcWNE71qX3xECcyJMsp28cNHj1fgEqGc31APJfz+LhN/EELr6OIFwri3EGkkpn3FcERqEMPb2CRTZNlbZPm/1ELr6cQMwneyEomys9spbw017dooVlNWoUsdRBhTvA4IG/muC/16FwThIcQ7Lp4Q3EiqpVMFwztr+xhSgW4Gr8LM+8rtGMHBdELMSuzPY4/mqP6QYDfFyRtTd4ooBBIqYm+M0s8Z2MfxXJksz8qmuJuDSMNIpaYw4D+Jfu0/vFHF7j9YNUivRRMntcQ32oy7JQJwhS/o1AxJz1N+NqXb3N6sUOw65KXDNV1RXe7YSkjE4nRAu/A9qbHpzXxYkbcUqAFydQleXuG/KCEPm2R96PTmqRpbKB33/1Zl/qnWJ9uUnoyLT3+afFy8vhbn+IL/DfAOeBFYA/4v/wi3+2nqdy+BPw14Ot/ptH3fwS+IYR4DPz6yesAvw88xZaO/zfgf/WzvoBR2Ab932szc0vgflxGfVjF++ox3v2QfDYlaRfEr04Qp6Y2OSg0FLEi/8IQp5zhHyqWv5fTvGdL4nQxI24b8qqm87JGptAZlJEdlyh3MZlk9JUIp++QVi0WKF3M8Msp1We2lxN8r4qRdlKIsHfKYrdE9LRGddNgjCB7WiXccSjv2VT08FAw/45l8Rc+pF8aUa7GTFYNtYURV8/sIhsp0Wpm7WMnS6VWuBocKLxNH61gfFTGHSjSlmb4jQleX5LP5Jbb7wBhgZAGv5Lw/EcrNrUqA+9ByExjTHg/YO7CMflMTtHxLesOmC5pSo89pDQnPxdsHzcYPWhZGGcCjfc88sDedGQGM+9LsqZmbbEDiUL9kxZHj9qMV4FcUkxc/Gc+Jlb4boYwguDbNYLOCRTA1QwmIaVtRf+yIf7VkY3de3NMHtr4wKM3NdGcPTaq7QCZQTxn8Url55Ldx7OkawkqEuRVg3pQhqHNE51d6jM6sEfyeNZq/vIrtu8mcshnco5HZVSQ4+16jM4XDC5AaU8SHIMXZGzuzqB9w+ilmNHFDJkI2it91FgR7VfIK5AvpEyXNHnfQ7w2sMOPSxO8mRhTLqg9lhQljWyklLYdgl0XczrC3BwhcxivQfjU48bcnnV4NDRZ3f5d/uj9qzx9tEB4YBALMcNLObXFEfHUoq3EWOH3BKVtRet8F5FJRms2lEbt2aBsYUBsh9Re7KASQVHVCC1Q0Wckaf23KHQzxhwYYwpjjMbuHT89en6q0+CfXT9TCmKM+SGf0LL+R+vX/ic+3gD/+c/6vH96iQIqDz06L2qq5/tk95qUdgW9XoXqBIpdz/ZBHM1sbczWwAfXppiL92voOU3wSpfNlSqzy8c4sUfwg7o9ziHRaxHyqETwgwpZBfr/eBl1VlN/28UbWZS0iBX+kSKel2RfjCgmDtqVFn0t7OTJiWB4SRNsK7rXNOp5iBG28tv9jRwhcuo/8Tn4ksHtGhqPIP1elcGrCZWLfcajgLvdZYJNj2IhZ/nPb/JwfQmkofd6TvjEJ68YslaOd+QQNGMSzwNpyAY+wjU0brkIbfuQpUc+0XKBe9e32rpYUYRWENsblUhfiEl6Vdo/dhitCZLllBQH3ciZNkHt2hjEyo0Oo3FIsRTjPwkpPMPwvHUgOB3Hmu2PQ7xjxTNvDmeg6Nw0iJmEXAvcHZ98OcFcieE4pP/EShmyimCyqln8oaFrXGqrPQ7OhNQeOOSdKtNTOf4j25KIlgtmPlAUf6nLYaeGe3ZMNq7i9SXTM5l9oigDkQ3bzmYzaj92MVJBTxK1XHAM0aWYUjUhf2xbEHGtQE0UaqhISy7F0GXmAYxXFN6bXfqVGiqStCsRx1tlirLm7PIxR99aIS9hj4nzCY5bYI7LlO/4jM/m+EcOxawkeVTDHQvya2PKDz36r6RUWxObDKZC4lMpDDyKTGDqOWbskNc07/7JZdLTGeFMRLpZgTBHHIc4kSBp2Q3KS2Eoqsx8oJgsCpJzMaMLBmegmBxVbeRlw6CrBRrwey4ztwSdX48Zv9vGhAYjDIVn4x9/4WX+7UpBhBCLf+qU99vATyep/wz474UQ/xWwhJWZ/eRnfb7PhUPBuIbpkqb+SJD9qEVetlOv8sfBv7KNVDPibsDxDxfB1aiufTKHR7bhPtxo4B04XGweYT6oIwqIVzPymobdAO0Z0hpEC5Z4IXJBUhccvSwwyhDuKKrPTkr4PZ/qQxf5q11EOae+NiDoGiq7Bc5IktXMJ+P25j2bwCVGDsorcCLDF196SNbUdK/B4GJB8MQnftBAuQX+tmv7c+8pHm4uUJ0d02iPab3tkV8fE17uc+nCLub8hNIfVnD2PUwhkOWcfC0mD6F3o4CViKxm8LoS/eaA5oOCYN9KJeTVoVXID12Kke1RVTcN7pGLN5CIkUP9lof2DFnNkBWKVn3CYntAciIe1SXrqqhsC/xHIdGXxogCvnT1MUVg0d5BmBKWE/yuQBx7uO/ZKtZIqL94TNIyGMew/6YgeSFi8t05wLofjANBO6IIbOUoUkn/BUPZT3GeBfhvVW1k30KOiBRIg4gUTl9R+IbaHQ+V2RwNgJnyFH/bg5GLea8OAuKhj5rKTxhpRWrdDaM129ccjqxboPZYcHx3Fu1Z8vHG/UXitiE6nVK6F+A/Ccj6vs0r0Fj46Z5BP6rgji1EUj6s4PcM7oFLfK/B+KBC0rQVmdeKKe1YOvH569sY12KdZKTgoxrL39EUUwe9FJNdnBJdTGg8gOJMTNCOGJ2yQT0zM2NkJUPmEDzzSVqGItS4FZvYrB0bU6hH7idgB3xNeGif45/NxfopHz9jCSH+LvBj4JIQYlsI8TeA/7MQ4rYQ4mPga8D/HsAYcxf4XeAe8C+B/9wY8zMtF8J8Diz8/ukV8/Ib/zuOfiditd1n6yfLuCObRuUdOjQewdE3EsrVGP1uw9IOtBXu/rSmdBaneO9XmCxr6g8l/Rs5spJRuhXijQzdm8UJxcPBmUJ9o2C0rBi+mBCu2ydueQvShsXhGOcEIf3MQbuQtCzpY3Ih5fK5XR48X0BIg/s0JFlJCbY80vMRphCU7wQ2xeqZz81vPODWzjLpXhkcg2om1L5rp6nRvN10+n9+gtYSsRVamUpgmWf9y4brL22w2W+SZA5CGNInNUp7gtGLCfLIs73HmQwVFMitAPfCkDRxaX0rRP7Hh+xvt5AThfZtyjrY35sTWQX9dNGgfYM7tDGAzduS/hXbG1xd6nL49iJBBzBWi7f8pW0WS0M++P0rpE1N+bkkq0FyKaL6k5CkBfFCzulzBzx7Okd5w2W6VGDCkwv9wLFi3fkM1XFxJ8LSPiJB+2ND/7wkvRARllOW6wMO/4dT9F9JEWOH4FiiIhhfTfjSpXXe/4MrZFVNUbLDEnJLkIlnNY2HgvEp255wDl3CF/qMjsu4lRRdKORmQHUTxqdspVuUNcG++qTv6fUk+fkIfezjzMbwrESxGlMqJ0x2qlTXFZU/t89Rv0KeOJhcfoJsj2atxCTcseE9g6u5DdTuSaKVnIW1DvvbLRpzI3ItmWxVLRY/tGL1vGzIGgVOX1Has/F/3kAwPpvbTAdlmPsjl+m8tEHlI6u1dJ/7NB8Yjl7F9gALgd+1dJLpombzf/t/eN8Y8+q/8XV6ZsUs/pf/m0/1sZt//b/4hb7WZ7E+F5UbAqb/yYCsF7D99jJZqyDoGJxqRrqSEs0J6LtMJ/5JhqkFBKpIQDtB+5oscZjeiDDVnP7LNmeUQ5/xxYzpoiA4cJDVjGS2oAhgcEZROtSET33ixYK0WdB7scAbGGoPFeUNF+9IEc1p4rYNqHEnMPc9l91/dJrgSUDze/ZYp3oO8WKG/zAkKKdkFWjOjEjaBbf3F0k6IZXn8hMRKb/ZYfDlGGcCvRfA/ahiwz7GlsGfzOfEM1Zhfntrif5OjXjiYT6oU38CwxspjdaY8EjgTARiqnAfheQlzbl2h+LYp/Oi4bBTozk/JNyTyEhSv9GxLgfXpoSldahsWbqIUbaaHZ2xUzsixdbGrPXOashL4I7g6dN53n52Gu0Z/I4kWjS4Ywhvh6jYEJ9KmV3tsfloweaSnuTIqr5D7Y5LdiqhWIkpP/JoPICsovEWJ8gCspLl5c21h0wOyjw9aDM8r21GwOIE95Ue0ctT/C2Pt+5coHhhQtHIOX3hADR4ixOKgBMJjSBbSSg98SgWE5QwoAzl71coYtu7Gp05iQ4MNcbTxIsF7sQw97YgWcnQmbSxg4ch1WsdSuWE6UYNkQuGV1N295qIx2XkoY+37+KMre+3vCM4feGA6FzK6JwdTC1cPSQvG2oPHYY/mMevx/Q7FZL7deRMSjJXMP8TjYqwcpaezd2dLhnS+RzzxQG4xpJfqjGD85K0Bs5YEM9qnG2fbDXh4FdzdLnAmYtwpoLCM0wXbTzjZ7L0p3x8DtbnYnMTqWD8sEllwyHoCESY0325IHyvhLfrMXMntfkEXZuPOT6fkTSsdCK4G1qw5baP6XvUWhPcSkpwbFODnK5jtXGeweSSxh1pvXwDw/5XLYrZhAVLZ49x+4rhWZguGtq3M4wLy9/XeH1JVi/IQ5j89pDxKRvkEc1Ze5FKBK2lgZVyTDzcG326Ow1kJEkTF+9YkdZsZF/wQYneZpPgXkg8awguDcgrdvTvTLCyiar1UXqtGI58vI4CY+Pt8sDKM3q7ddyhwRtCdV2RnI0xpYLb909hAquFU1sB2Q9niBbtz9B91CJ/fYSaSRCFDXEeXC6ovnaEMxZUn55kE6xN7TPD0dTeDXCm1lKkUlDlHPZOCLweFCsx0Zw9EvVuambnBxzt1zHKUHlg7XTVekRwboj5Wo+vXXyEOPQRBTi/cwRLMUVuzd8IUIlg/9kM4Y6DehKiKwWt2oR2bcJkvY4UhvIOkAsWWkMoBM8ez1N/qJAfVVEJ9L8eWbxVosjLhqX5PuMHTWZ+6JHWoXb7hOvXzvC7gtKOQk4VRhiysiBpSDDQbttwHdFKGN6dIYldzExK5fQAOXZovOujz0X4XUHrjmHmi/ugYHAj4+B7y6ieAwbCP6mws9cka+e4YysnynPF0lLXDjy2A2QzYfevpBRvDlEnqo2gK/hzX/8AOVEIYbh4dg/VcSkKifuiDdFJ2pqiUlhHQyEpP/GQQY7esR7qvGJonu0SrXwGFoXPUOf272J9LjY3mUMxlzJZ1ozOFRbXPJWMLlrD9fbXXJxjFxVLm2b0xEV7tupQKbgDicwE828Jxht1soHP9EzGdLlAYJX74YGgfM8nLwvEqSmDS4bqEwf5eh8xURzcnierF7AUI1PB/usu9Udw+JKDzK0cYbJW2CfWyAaMZBVD+bniV79xi+5BjeKFCcGTAPGDhmWyzabkI5f51/etbCWW5BWLsZmuWi2X/kkDrydsTuacobowovSB3bDTgY/fsRy46ke+ZZ8BjQ881EgxPgWj84W9kLXA33WtB7bnEC6MMdJ6HI201jR3LIh7AWYvAAnlm12CPUXyR7M4EWS/OsBUcvRuyPwPJN6+y/BSQfeGsWnqb06pvBMS7klEK0Hk4LgF3kAQz2mqjxTdQRlygaqljC9lVvf2YZM48hgdVPjBxjlkJhhfSjlcn8EcBFTKMY2rHTqv5eQViyDPKoZkOaPyxKX73hy+k+OfHpENfHpXDKUtx04/x4rmbbs5ZlenFvHz3ZDpknUDOGPBzrM2tacwvHACOD2ZCMuxQzyrKQIbrYcyDK+nJF8bEj71KLkZWVOjE4VYm+J/UEb0PMbP6hjXMLhSoB5bEkfvtyeMf38B71gRbLsU18fo2RSvJ+ndKPgrNz4kbEZMlgSq5+L7GXsHDdyJ1e+J7RCx71MvR5bZVzJUtgv+5aMr9vv9ToPHO3MUFY36sMp4q4Zzp0LRzAl2XKaXY1THZbJmNzGZCZIvjVCJHcw5g8/AOM9nZ7/6d7E+F5ubkWBiZY3DuWCyIqzNSYM7lpx7/TnFkq02oq+OSF6eWJHuWc10wZDVNclKyuCcpLQjqTy21qvqE0W+kJK2C+IZQFvooN4JKT+3urbivQZqKhEaZk/1KAYueUWTX5iSNGwAiPtKjxd/6x7G19TLEfFSDtJacSanCv7wxzcRiaL8VpnotCU+LH0P/KcWzrj30QL+3RBdKpCJ9Sc69dQSSCIYX8rIGppsJmf8vEZegngpw6snlk781H7vw6sZ+dcG9F/MmLltJTRGWf5Z622PvGxzQsNDQfa4Rl4vbPSgAoQVraLtcV5oGE99eHFINGeYLBvirSpOxwIJollJ2i6QzZTGfUHpuUO7OWL4asz4QoaOHZtG72cW37MnSRtQDDzwNGGYUp0doyaWnCy3AsqzU6TS5EsJqu9Q2lboek5/t8b0rTaN+RGFbzHuADM/cm1WRiZ4+nyO/EGN0qaDqeaUv3xE83cr+B3J4Esxo5diKm+VKALDZAX7M2e2Eq2sO3RfsbggI0F+vWvDuY2Na0xmC8Znc+ZXe1Tue+h7VZIXImp+jHesEFNF1vdJG4bKMyteLm/axK2spil98Zhk7FN8rW8b9wbSkYez7ZNeiEDAv/iXb5BuVHnpm/dBGMJv1QgeB8z8+i6VWgQrEe5QctStIQxUNiX7XxTorsfClUPits3zqN13MA6YQFM6MHzh0jrVN46o1K3tTpRy1HZA1s4o/1EFc8r2gT+TaSn8W5WCfNbrc7G56cDYpB8jUAtT0rpGXxojaxnxcsbDjUVurO1Q2YRsu4zr5TRuuaipQM+dIKMBc3NEtKjJy1DekZb2sOFT3lRkVc34fE5t3RIy0iYkTYM7hfBQwGpE5/EM5ecOpR1JkSiyCoi1CVHs8qNH5yATHD1q4/aUPaZem3xylPI6EpHbnki0YNj5tRPv5Yw9YyRNg9M7SYdPBN7tEvGsJmkZyjNT6isDRGTTvrLLU0QuyRKHvF7Q/ZWE+ItjGvMj8js1ZCnn6HVN3rAG/vQv9xmdsT7CrKZPGF72ie6uTTB+gWjaiZoICsy5qSWOxFbYmZc1RS0/Efha/+pk2YCrKYYuccuq//NCWb5Zz0GOlGWs/YM62rPC2mSuwO0pxNRhfFBhpT7AuzDkwuUd8rIm+FYN9WHV2ujqBfGcRjgaERaER4b4/RY60BQrMUFX0LtmGJ8piFczKvfsUTKe1awudwDY+xLkoeELZzcIHgdMlg2zH1gqS2lxjAhtMLIoLDtNdV2ihYL+UYXaug2R0R5Q2IyDwyczJK+OSdcSxKHPnY/X7M2jq2yLYSllsmJzav2uwZRyhIbj5w1m5wfwVsN6T+vWEwwW6y5KJ0dCYbhztEBR0XRf0sSzmq27CyS3G+RjF5mBehZYn2rLEO5L6vdPThUVQ/2xnTKLHIJtl6gt+PGjs2TfmiV62CC81MfZ8+GMDSHKfqNPkUkarQnFC5PP5mL95bH051sytsEsqprh3K1YcujHFUwuEakk3PD46Mkq00XbDH99+TnRgqF1z94iRAHNd13Ex1WKsubyrz3mwl96TL6cEC/mjC8nCAP+ocKdGNJ2QXDESX4lRHOGfOpw/aUNgo6NkivXY4rQ4L9XQT4qo/Y9nLGitCvJaxrvWOF+XObVF5+Qz2RUn0H/zZTgmU9e0Xgnk8nAz8grBWde3mb2QwuT1Cess5mPBcX5COc7dfoHVUQumGuMce+WoJJhYkW46+B4OXmmGD9oks7YHAkZC/xmbKuED5sYAeHrx5R2JdrhhJ4ryFKH6xe2cTbsUdR/5pMnDrWNApMLosMSzlxE+amL3xVUNi0xBGEQyrB69ohoQX+SlO4MFE5k055mTvfovWArQZkITFCQzeaUNxT4Bd3/+yni51X2RlWQoGJLDfaOHNBQVAvUro9XShmdBu/lHjgG73Fom9IG5t45uVC+1EfFAhULtp/Mkf/zNu0PBdmphJ1JnfTKFJkJDl+zCPrpVpXKx8EnWG53BGYuwR1K3EOX7s2C3jVNfnWMaCV4fUlwpMgiFwYuup1CNae8YzeTxkMBWlDMZJT2LVBTeRo9myJjSff+DEnLEF2ObdZtAMWpmMZrh6h9n6ymef0LD0kSFzSYoODCtW10aKUaTs8hWtBkqwlZBdQLIyYX7EBCFuANJMdfypApTNessFolIEYOozVDUdKMd2rkCylZP4BUktxuYApJ/GGL4N3yZ3KtCvPpHp+H9bnY3LRvqD8UGAO1DU08aw3j8992CfYUfg/ExE6Pwj3F83ETjGA6JwkeBXgDm4MZnUnxjhW3Nlb58OFpTKJoLA7xtzzL2PIhqQtkIslLMD1lPaF5veD02hF3fnKW6ZxAjRT6Q6uVQkKykNv09WrB+ELG3JkO9SeQ1g3vPj5N5YFniSJBRtLSuANJ2s6Zns4Y7lVx+4rnb68gc0PaKihaOYe/kdC9Cq6XM7iRITJJbV2y92COs9/YsKThQ4doNUPvlHA2A7y+FRPPf9u1/br1Cv6+QzJToJdj+oMyk7UCWYARFplTrUQEKqP5yhH12y55aHDDjO5le6yqPXaofLdMEUDtm/uMz9icgaKZEz7y2bk/D9LgTEE8D3HHJ5qphYTjvbqNULwytjQVZWxfaVVz9cwuk0XJ/Dsw2q0iI0H/IgzPCMs6O3Ko33YRxprbCx9GgxB/z0E7xh59KwXDMxKn4zAZhMiTACc1lvReyxieBaEMk7+zhOflJEs2FLmoFjhTgdc3ZLM5zsRORR2vsA38Aty+AgNZP8DxbJ5B3NaE1QR3PsJfD5BeYfM8WpruGxnevsviH1hLXzxrkJsB5dsBzkRQvdDHOOA/DUhnNPFsgel7HOw0cSYCv6O4/99fJu374GukX7D+4QprZw/Jy6DOjHEXpji7PulagrlTQw0c1NTeOEQB5Uceo7MWx5XWjGUOzqSYxdgCT3NBpWHN8rVHDulcjrtvrVzx3Gew4xi7wX+qx+dgfRpY5b/9JSD9xhA9CJjOS+L5AqoZk8OA+EIMjwPcgSReLDDScPBHK6SrBXlJIlemmK0SRStD9q1pXh/41mvYcRiGIXquwO0r8qWE4ayEWJK0BCITJE2rBzr+w2WKiynJQoEeuTh78pO0eTlWZKsJYuQi6ylHj9pUWoLyLugjCw0sqgVyv4Sci8lbAiLHbh4PHIqvDJj0Qg5edy3hMpHIwN59o5FPsO2SX5oy+bJBD3wOJxWq6wqVGNKWoKjnYKw+TGTQuyTxe6Be7hM/rBPuKbwHoZUNLKdkZYXIwe0p4t0Wt6546J0S5oym/lAwdEp4L/WRz2rELUMRWp3b6FsLiFcjTOLjb1sascgEamo3pKxeoJ0TXtiTEOnaI18RuDY8Jrd2NCkNdx+uMPu1I/a2msjYMspkbuh9MQFpKKYOeVliPIOo5NRX+0xjH5EEdnpczqm/FSBTw2RV4D30iRYL/I6CayPE4wqiENR+FNK7agidAtV30CX7/cnMTrPlWJG/McJ92yaYBcZCP6dLVscYbivU04pFi69qon6A9Av0Wspau0+vlKB/2EQfeRQBHN+w/1/kMH4xxh0FGAf6RxVKPUFtU3NUFRaPdeiiE0G8liKHDlkV/AOH5gPDZNFjfCOm5sfs3JgiH1bIaobSxSF6vUZyOoGRg38sCbpW8+gtT9Ajn8bsEK0lo3GIzgXOjo84HVGvTnGVJukosi8P8e9VSWc0zkjC6c/qWPrZfJp/F+tzUblh4HSrC7lk+soUCoFfskpsL8xIG5rSjR6ykVJ94jC5kGIcjTo1QTma6gbInkttXRIc2Yau07EVwEJ7AK62PaiOR/mhh4ytH0/XM8vDGkiCrx7jdF2a3ws+CRTOvzgkmdGWuutYtb3u+RhlSBowOqNJ68ZG6mnB7MVj2AvQqa0KGh9Zl0OeSy6f3aUINV4zJth3cO+WqD0FMXSJF3NWZnuo+2X8Q8XR8yZG2RxMUSqQY9tE9nqCyjYkixlZxVALY/JWbiGeXx1btX4u8Ya2smg8sNawmfrE4oMamXVnZIL0Xh1vZUIRGkrnB3Y48bUejYbVjsnMquJljkWWj+z/qz2xlVt6OqZYjSlKBj2X4PewyVbLsZWhjBSDcYjXUehqTvy1EeNVcPwcP8xsoz4XVNYVjR/7jCYB+XqFaDknW0hRStN7KWdwiZPKQxPuK0r7BuedqkWTXxlbsXYG8b0G/tkhf/nN98nLmvx8RDxvZTrcrRLNGpAQr6XEs4baum2yJy9EjC8nNH5zl+ojB6fjUqnGuIcuk9TD/b0GecVCTdNWgRMJ+EIf7YGZ2Em6XosA64M9fA1YjJmdH3DmtS30bIrquGhPE5wZkZ+PGC9LxmsFat/n3runkRsh6WwBjmG6U6F5H15Y27NpX0eG/iWDjAVxPwAN42nAaBKgC4E89jjzxhat+oRer8Ik8Wwwz1YFFQlMyVJYan/82RxLfzlQ+HmXgJ3fPUPtjkv5JyXCfYnr5kxWDFIaFq4dEngZRSpJ3xhBIajddwnermDuV+i9mqFSQR5AVrElvBPb5O+jXtVSfg2UdiTTFRuPli5k1JpT1lo9VCpI/6gNKxHdFzXy7JjJskb9xIaXGGXQPQ/vWOEMJaZsj7MiF2RnY+p3XGZP9dC/OwvaxrPV77gUlupDvlnh2Z+cprypUB9XiE+llL9wTNwWoAzzp7ps3VoiPpViFLR/YjdXowyzf+xR2pEEB5LCh+4rObW5McHFAUoY5FhBx0dvl1CJTWcf34jJmgX9SzA+JThYbyMSiVfKGH4lwhtYXRZ3qhgHRr0Sfg9GnTJ5YaeDzhTEXEJ5y/aPojlDuKcsvtoFjKU/qFgQVhLyEJBgjnzcgaSoFpinZcpbULvjka9XCI8E8nGJuBPiTASNR5BVYLwKc42xHexg8yey2AFpbHyisBa9tGYrv8mpgum8wHEKVC1Fu7a1Ee1X+Of3r2Ncg3e/hK7m1K91wFg0uNtVzPzYRXsnE9WTr1V+4LO5MWuJMikMDytkcxnjyGf4axPSmqb2UOF3FMmliORBnWhO07hjcxHkZkipGSFTK4hW6yGT2OPR5gKnFrrI1QlImByWWWgNGZ/LcaaSm198jFyZkjW0HfR4GlMuSBqCB3dWOX/mgP7XYphLAHuCEJEieLsCuwHzswPCPcnjnTmO9uuE5QT53YaVDj2VyALE1CHcdRie/Yyu1V9ubj/n0lYtP7ycM7yeEr0QM9mo24ne4ypHgwoHBw3cMCPbKVNuT0GA/mof7UD5sUfWKPB+5ZikbfB7gng5g1Ti3LVm6KKqyStW8zb38oENaH6ryf31JQDSGuRDj+BAwf0qTiSYrBSIhZjKht3UslMJ7sUhtY89mg81zftQ+jhkcDXHUwWD8zbV3j+WqG8eE782ZvSkAWATyI+sGFZMFNPEpfK1A1QroXPb+hqr9z2y5RNHBlYOUARgvjCAVwc2lLfjkL3fZNwpAaCWpuiqncZpB5yh5D+68R7Lp4/hrD2KlJdHhPsSvVHGHAQYZeMItWvsYCtSjF+JLNvsx00a9yWj8zmtxpjBJZsLkcznpE2DvjymWI1BGNSeVcVHexWieQ2OhnaCf7WPyCRZs8D5zWO0A8YxeENDeLOHqmYkbU36F/vEaynZXMZSZUDyxhjVsH5ON8gtGCGWCGO1enm9wEwd/MUp8VKOEGAOAsTqFDW15JHyhyHVxw5ZxUAm6d2fsXKeDyu4I8H4m2O0a8jLFooqhcVnhc9dVGSrObfrIBxNozJloTlCB5rpokHdGFD6KKS0Jz75fWenEotN92xVnJyL0S6U/AwxVuwcN8gPQ8L2FBHm7D6ZtcdyzxAXrrWCNVIuntqnet/FOXI/qa63f7BK+V2rf2vdtbIVZyxxptYIH//ePNoF97mPV0mZHpZJmxCtpQxfiwm+esy5F3bxe9bJ8Auvf89EvJ+LnpvIBNO1HGeoqD9UjM7YkXfctsBBsVti9gPBeNWnNIakX2f6Yox6XMed2kxQ70gxPp4hr2vCAyukTGYKouUckQvcvjwZ4Uv2uzVExQAC78Cl/vohR50qaj8gni8wyiDKOc62D9OQySlNaW1IMfFJYo/pxZzpgqIo60+AjgfdGk4uqH/kMTqjkZnLjeVdPnp2wYaDAJ0XDbqWUX7kMSmFTAchxJLKsaD2awfs+m2cQ4/psvXBzv/oJE3qeRWR2UR5d9ex+JtIsbXbwn/u09w39K4XXLy0y5OPV/i7b78JjoFMINoFq7UR68tVnHaEfF7G78LxlzJU17We0jnrkXVv9Jlu1vAGtqIcvt/GcSBfslPgZLagOLKTzMqpIUF7hPrvZuhfkMgUxNkYVxWMJgFqIinmU6aJR3QjQo9djt6Eyg9aeKGFPDbCmGSvgcwFd59egptjHKfAHUH+uETjZo/+cYXctaLd6VpGadNlSsilSztkWrG3arNsg9gmsEezVoIjCsDVOJGisgWdV3LCLQf/rSrZaY1aiEj7ZUv6PTakdYFKrI9Te4Z6Y0pnUCZ4t4Jasm2N+GkVvaJp3hV4A8nwSka1FtFa6KKkZrw2oTgI0YHheKuBOxujtWTxh4Lj61U8A9WXO0Q/aJO/MmLz986gGtai9qi7gnkhw9+zdGK/KykdGHvDnMmIWz6ygHwpoVdz8Q8U0VdHGCPQm2V4VsZP7M89uzjg+GmLzqjJZL8NTah/8eCzuVY/J1XZp1mfi8rNqVjpfd7M6bxiFfdomL92iPGtUS0v2Z7GZMk2sZutMXmlIKsY0oaxk6GRoPZIEbcM8XyO8QxzP1LUHil7fHqlw9KvbXFjZYd83h4B09mcrJDIPcsPM45BJhJ6Htlchjuw8pMo8uDQZ+l3XUQmyZs58+ePAagsjmnUppReOcaJTqxZm1U+fO884ZGg9sAeDcRcwuzCgGhBI4OC+i2P6rpD2jD03lrA6Surydo5meRVBEFHIGPrxPAPHJK5AufykHBP0WhNkKnFejdXBjz//ilkIiAoKK9baorblez+0SqmVHB+/pi5GwfWeztwcCLIz8RgBAvvZKT36uhKzvTrY9CC6ssdll/bxRS2gV57oPAPFeGeYvy8xvjHs8jMBkCXv3zEdBjQKEXoVHH9C08syePtOmo7YH6ty8Jah+nNiKSp0RcnHL6zYBlk14bkocFxCpKhT/9GTrqWMByFkEnwte219SzEoLXS5+GDZZ4+nyPeK+Ps+iRtzcpXttC+IZ0tMA44xy552TD+xpi5txSNJ5rWg5TmPUHeDUgbmqJcMF4RxC3D5ExBsZggc8FwGOJ+VCGat9Vt3s5QscAdCrqv5sx8YR88TRy7bG63ORhWT47pdhBVe+TARgm1EdC7JKm91CGZLeg9aJGXYLE5JJrX5GsxjSsd1OQk3LlZ4A6FNdyfh9pTqH3kM100TFYLTCExriZeS2lWpxRbJVQkLLbeWAjBOPJxZiNMaOMnZQr7mzOfzcX679Gx9HNRuemei5xKjGugnpG5BlXOOPxoHldDuG+JrJVngrQB8fkEEg9Vz2j9WDE8I6hdGdAvldGZwttzOX9pj/W7S4xXrbWptCvICsWTjXlqdz3cORtiQi7oP27hjQV+H8Suw/QrY3QhyScuWdVQXxmwWBvy5PkaUUshM4s939+YwZsIivcaTPVJA/4MhIeS8fkMp5IxqriUn7iU9gzBUcDRKw5XX9rkwftrOBNDXrIUiMK3XtnWRVsFTHaadG/YzRZpj6POtQFmGOB8v452IUpczI0x3lsVRg9alIYQHAnSCzH5yykMAtKZAhU7XDq9x8PtebzHIZXY2rKSSxFyO0DXCw5fccEYvD0Xd2ZKlki6j1uMB5JaDyavR3jvhCSzBSbQlJ/YjWP31wyynNG73abUF+zsL8FSwv0/usDiA03nqtWJJb8/x/iLU7wnFiWf9gKW7hh6lyT6bg15xVYhwtWYQhA+CAgPDZ3Xc86vHbDRXSY8N4QfNZhEPqKSM/Mdn+OvZJiZBB05lJ0U/1gy9yv7bB83EEDR9/CV5vDLOeFzF6M8isAgUoHMBNV1h3jWtjJkoUiMPcJlyoA4MaYv2UraKDj7xnMebc8z/PYCXtOgYh+uj5kc2XwGagVqLMkqlgK8+EPDwRuSTqeCO1CE+4LRuYK9Xg0dGOS+T28vQGUgw5zyg5DxizGOlyMfl+ld1cxfOCb98Tz5jMbbdfH6Ns3qYNIG35D6BcGeIr4UYxJFvFOxaVctWzQkTUPtwWdzqf/7VLl9LjY3o6x9RyUwWbF3sCKVuCmY81OcZyX6Lxibw6hsA3h62aBczXhFEHTBGIFyC4wW5KdiNm4tEx5LkhmNuzYhKipkBxXCbYesjM3sDAVmKK0UpalxphInssLbYbcMhQAJw/UGg5kSSkLvmqGoFPjNGM/L8d9r0L9kMKsR+iigqOWEBy5yqsgLgX+kSF8aM+lbpDnS8OC9NYpqweisg0zh/PVtnny8gnENvUGZYuSCo1m6cMTOTgunY5vg016IHDnkXx0wPSgjYhd55JE0bTxdWoXkxRhzUMY/cmApQ1Ry4jnJw8dLVOfHjJYdRKwIjiTOswCVCFSqrPzGQHV1yPRhg+qOvaFEC5p4QeNsBWRlm3DujhWj162tyH0eUP1QMThvtWRZoyB4GhCfSjmouhSNzGK6CwchNcERNuWqlHPwmo9xNbqSozKFOQgoHUj8nmH4K1P0oxLOwOHZwQxqdcp04uPUDNVvV+h/Leb4CzleOYUnZVhK+ejeGpxP2P54AR0a6ncVyQxkwxoysJCBwc0U1XOpbEqL6m7bYBwVO8gEWh9Jpgvg3S8RLRSIVoo89qnecxheKtj6wzWcqo05VLHAHcPybI+th6ufxB/KDNIXIgRw8HpAXisIShnpimFYd3EGyvYLHYNRNpg7XsghVdbKVkkIvYxeqYTIBUe9KmEEbsehOBPjVCLMH7cI9xXTUxanlF2dWsTRjkvSLlAjidzzcCaCaC1jOP8ZoTo+J/20T7M+F8dSYWz+5mTJUN6yUgOjDPmZGHW/TFqzxIrypoOcKirbGv+pNYDHszZkI3p/hmzi0WyNMYU10k/Xckp7EufdKpWrXVQtxZ1YpXzSssLU0r6hsmkwM+knkWpJ6jC/0Ke90icva1QsmJ8bkNcKilCDp0kGAaPjMt0b1q4UfFTC+Bqn7zC8au+YsppRnI8ockWw59BYHNL40KOyKak+spWPM4H1gzammfG/+NI7fOXcE86e3ydsxEz/yby18Rhw1yaQSoIjyfSwDJ7G2fXt5PdChDuxd3O179tA6zMxMsipfhDQumOFlePnNdyO5aJhoDgXWUR1JBD1FGck8ZwCVi1Vo7ap7TF9KvH7Fq2T3ZgwPK+pvhtieh6Nm8ec+2uPqGzZo2u45dhkei0wjo1ArD10iBdygp9UyMvgd4GhS3XTfox75CK2QvzVMWndMF6BIExZ+vK2VeI/CSl9v4J/PySvGrpfTWDfJ9x0SXsBi6/tQSr5+kv3uHl221ZZpZykaTHeosDaukIQjpXuRG9M7M9tIGxP+bW/8i4yh6htLWhxW+MtTDF9K60Yr9rn5PRsoQsBmQAA9JdJREFUBmcnTM9meCObZbB+fwkV22GVMNZdILYCHDfH6wsq82PifkD5wxA8jUrB3KviDJT9+UfYFkIpIzqVMdkvM3m7jUwFulygj32yqqFYjtFdj8FWnfGaJr4SocYSM5eQDzzcjYBTX3mOkdaFU77aIzqT8vUb9/lfvvjuL36hftoj6eekuvtcbG5G2Lt+PpcxPq1hIbGhyBsBfh/GZ3MG1zOi6xGlXUn/oiA+nSAzgS5pKpd65KGh+Z7L+NYMjp9TewJLfyLJytB4XNA7rCI3QybLmvG5nKxtE5VGp2G6IGi+5eP37Ob2+uomhZZ0NpqYsMDvWzlF/a4DjqFyz7cYmlghY5tXGV2PEIkkrxXIMKe0LZE7AZ6fEdy1cMokcxhcLki+OrIq/a4kfW1MkSjMVPG777zO+//gOhsPFonHPsMLhumNyG7+z8uUN+0UsLTl4HRdsmZOupRS/sCq97OaobQnUDEEjwNKt0NG5wuKv9QDY72n7simSUWnM3SqWP3GJkUA/oOQ8tUeceaQDz1kBoev2vSo8PSIeMbYVLHE4Xe+8g7RvMHtS+pBzLuPT9u/z6KdCFeeC0rPXJa/p6lsG6J5K5SOZw1Z1ZA0bYTf8Kym/a6dqn7iPjgJoy7ea3D4L1dImwVGgEoM8YUEMRcjjzxUJEguR7h9xebTOXAMP9o6w6Nvn6N+scvSYo/4UsyLrz+B8xOcgWK6pJFewRvXn8BGiWwmp3hhTPqswj//6CZJ02KcjILS6oh8s4IzltaorgylTQdVyvFuVWz6/Nd7iFzgdSXuBNKWpvoUioc2eDrpBbgTED9o4FYTq+EUdsPVvu3NqomdiF88u0eeKrxjh3BuSl62ZBC359iA7xB07GDKBSYskMtTbp7apqhoTNdHFILma4c8Wl/EP7bE4uhWC4zgO+9f5Z/+7pc/o4v1Uz4+B+vzsbk5tsSXXkHzUhfd9cjrOelSRtLAmtMHDkJAXsamkI8dWJuixhL1z5sIDYNLhnQpI88Ug69HjP/jAWlT0/trY0rrHvliStHKmXlfUXnkEs/Y8BehIfjtAybLNhfzQXee3vCkh5JLtILSlmKybHtfGBvWW1kZUiwlqKHDpeUDZCpwainiwKf89UO880PUW3VkDu4EzO0aspngvFM9AUAalNKIid003XpCeGgwpYLwoY+3NkaPXUq7AgwkM5a6WvvKAaxElJ65VG/b/ITo1SmN+1a8q97sYZTl3oU7iv5RBXeoLJPtjZ5NP08kphA8fLZIMp9T3TKMHjeYbFcRqSCtWuhjfj5iulehvCMoX+lhYsU/eXDzhGhi5QrEdjptygXTb4wZntNESwXusKB/EdBQe2j7TVnVWMxPaND1nMmSPaKmcznFwyp+x3oyk1lNNG9wGinuRDC4CP6GTzH0MPMJ6WyO6XsUy5bc4e27FOsVsrph/NEM+/fmEB2PvUmNxebwk81Ep4r337pE84GNE6x+p4wzsZWsPD+2KKRUEK/XUKcmhPsCmYDxLZK9mDhkVUNW1RaAuWxR6c7Uosy7LxVwfmIJHUFBWofx6QKtJaVSwtJSF3coyRoF2XxG3s5Y+Po2z360il/KEBfGVP551Z5gfKu7k5WMYibDPXLgJHg5j132JjVEmFNaHUEt4/DYWrYKDzgVkcznBNuuHU7VPpsdR+hP9/g8rM/H5qbsdNN5FnC8XyPcVYhccvH0PmlDo0aKop1iDnxkgp1g+hr/wzK6ndH5YkZxKkZXcuTAoXQ3QB8GTB82ELlgulex3La+C6mkf/lkwlrXuGMoffWIQlvWfmlmyvHTFpUfl2jdEchIEi3bqWw+nyJymJwuSJ5XyHOFdDQsRzzem8OdCMJSgkwFnX6F6SC0Zup5TeFB8HIXcxAwvpwyuZhSlDXpZgXjaoIdl2ziEs8Igk1LlEg3K5Q3HNLqiTdyKogWC4bfn8e9XyJpGWb+wg7TsylFLum/YAcFw17JotRvu+iXR8igsOy1sWC8UyNZylBjiYgUYmTbrodfzqle6FtqbiwpXhpx/GZOESsoYLKqma+OCHYd5v+Rz+hmQnw5IjkbI6sZwTE02mPyjQpyISbcVRy+7NushCt9pl8cM31jipyPGd+MKV3rQWaR4GhB0IqRmWBwNUePXTv1XYptn65jJ34YQBhKt0JEZv9eatvan4yArJXDSkTaKqg/FjQeCHY32uy+t0hwINGzKQwdnLGgc8OQB7ZyT8/EiEhRClK8viFtFrSuHFNslzASKltAYX//8ys99JmI8pZkNAmQmyF5Pcco8PZcaosjssMQkQtWFnoU18YYz9he8LtNdrdbFpC56SAmita7Lhv3F61Gbr9EoxLRuwKjcxpRspmkQmA1mxdHOJUMnSmcIGN/t4k89ohjF7VvFePemRHVTZBPQ2oLI8q7BjU9gSF8Jhfrp3x8DtbnYnMTuQBPkzW1TXOf18yd6fDo8RIqtsJKMXFwplYdP3M/p37bapoYOrj7LkJgVeK5RXX7HUlR0bgjQfNjSfFBA5EJWh8qZCJIl1MaDwR+33C02+DoYZvG/ZNmqcFKHJo2LX3mdI9sLSHY9Amu96GSoxKB86Ma+thHd3zEs5DmfY3+cZOZOwbnQQliSbqc4p8ZEa1m+G6OWpzihDnzi33qDxXOWCJ8jXYNKiyIZw3hKx2iF2KKRs7kbEba1FTWBqTnIryercDicwlydcLWUdOy5O4ENiB4ZUr5oc/4Ykr8lRHxyMfkknTR9ojqdxW19gR5ZgKFoLwtCWYi3GOb0cDA/USkSi4oNyNE06ahH03KxCsZ6X/WpfKxj/8oRBx76FSRNEB/t2WFsG6BM4XmN/aobkDpH1qAKM9D8tjBTB36+1W8jsIbSNwwI/RT3CHISCKCAvfcCMfNcT+u4Pz2kc0VqBpEapX3RhraK33bXogE2XyG8DSen+H2FdoRTBcEaqwIjm3FaGJF6yNJfV1T2pPkFUP9eodzy0fWQysN/esWfDD4oI3fkWRfGDH81QjqGfH5mMONGYquz/B6ShjaPFqRS7ovFchUoP5lw266Z8ccvr3I6XYXPI3peziv9RCuZvqKTZFXkWR4DoJFi86SieD4Xpu8meNMBMGjgHDPgZONK03tjcXfdsmPQ4Itj+BQons+edu2GbInVYuo9yCKPKbzgryVWXnVL3qdml9SQX7uZXyNiBTlTYsUkqnguFcl2LWeSqFBNlO0A8GxpeMOX4utwnwmxR0L2POZDgP7RK9qkhlNdXlIMlvQfamg/eU95OqE+JtD8uUEb9djsgLeyFB9YLlmwwtQ3KlTeaYsZWROU7rUp9ACtetT2TTkP2lSe9+3OacNm4JlwuKTLNHJxZTODQECLr2wQ6UREY0CRKzoDkuUwxR9EHB8d9YGLruGK6d3Ca718e+EOGPB8HETZ9dy+dVIsXDtkGjqw5FP2irw+xBWY3hWRmeSuTMd63GtaPLEISsb/F0Xca9K8MxDeVbK0L+WM7ikuTq7T7Fdov5Ikr02QilNvpxQOlHZT5Y14p7FFFWCBKkM7tkRvY0mKEOUurZP14H6I2s3S2at0DWZz4n7AcOrGbudup0c/oc95FRR3hWQSBp3HJofOjaM+NqI2fqY5O0Z4lkL2/See0T9wG4MrwzofDxLaVfazIiRtIloEjod2/uKV1P8bQ9v0ye/X8MdCQYvJ5+gmyYvRRQlw+xyn+EF6PzFmHjGem+PtxpoI/B7kloQQ2Gr5LRd4ETAnSrOwxLS1TB0cQbSVr3KkMSWuKEmEnlSHcVtQXVxRHIcYhzD+ocrqJ7D2qV9RkcVnB2f8nshADKF8rYgOiqRVTW6nVlkftdh8Qu7ZBWrsSsqBc5AoZRm55ua6jNwRpJ4KcPv2yQyFeRU73oUJf0Jw65RmyIK8A7cz+6o+O+RQ+FzsbmRScJdxfh8RvSSJYo66wF+D9yRHZOXyzFmNWa8ZqhsG5xtn8nVBOdJSFq3F4Vz5KF9Q3nLJqunmYN/ZEGDxz9chGdlxE/qVOsRtZsdkuWMwRmJ+XLf9tE6gmQ2t3ceLWz6+rca8K0WnIoYXIDixRHjNyNrDdJ2I6088hAFpFWBV0k/SeXaeOsU6b06ZqqoPpMU+yXG95usXt1n9tohspJReQ7rf3KG0SC0GZQ++McS9+KQtJ1TtHJ212cJbpUID6xsJS/B9KhM4RnqPwlsr+XSiNPnDgjWfZypID2d2NCUETgPSkivINx2cCLB3X9wGa9nvapJP0B/UMcNcnYfzRIsTCidH+COINxxmHx3DrMTEu+VMVVriYqe1pieyum/kjK8YKg/EHg9ablpfYWIJCKSmIOAsFeQ/XCG5e9qRmc0zkjh/8YhvRcLmzJ2r8ruwzmSqxGVTUiWbIhPad1j40enkO/Umb1liNuGydWYbD4j+J0DnIHCL2UEL3U5e/oQgHQtIW0XRIsF1Ts+xZnYBjp/GFLZkKi/M4NejfH8DJnZEGhnpNh6d5loNWP77WVeffkJRWho3LEyHVHAzBf2MYeBFcVWNOGRQPRcvnJmHeMamlePP9k89I0R0cMGzljB+QlFvcDMJYwTn8ojl9Zdw/iUhTHUnmJlPJE9Ytc+8AmOBXm9oDMpkTcK4pWM5i3H9mgzm79a+FB7YpPE+petzUwf+5z+rafU1wZksxlGwOCDtjX2K8vO+0zWL4+lP+cSFrynBg5iO6B8uYfQgsGVHPeVHqKUM3peo/R+iFmJ6V+EbCHDTBVpu2Du5gHxmYTqBmTzVtKBAaU08VJusdmnU3tkimA8Dug8bRI+8/B7hmi9RuNCl8npAqeRfnK3nLlxRO8LKf0rGrMboFKBuFvFexBy9fIW2jHImZTxWct7G341QheS0ra9q2rP+g8ri2OykjV/l3cEw9jn4HEbM7DVY3hkwFgpR7yakrQ1q80+/oGDe+Diz02JXpwyvRpTfazIypZppkMrg5FHHuZ2jZ33lijtWzGwKQR5yZBVbPM+LKW2Ed7OrFRFYJOefuCQVwzFdgkkNCtTput1xqc08cIJFn3eGrfFxMGfsRNr71jhHrqIQtC/aim8ybmY4IW+jfFrZIj5mL0vKLKKoXPVQddzzr6yxcFeg9LsxGYlnI1sSlbPI2kKvAOHcMex3tOFjPHpnMEZu6k33vZxwpzdwwYqFpxq9YhT1yLIz0fIY5fqIwe/oxifLihihdDg9wz+wDA8I/HuhWQPa6TNgpn3JO5QcPELzzh95hC/J3j/JxcwrvWS6m/0iM4lHH4wj9eVeAcuxrEbbeO+4L2/fwOZCPoftxH5iZvk4ypmNeLqG09RSlPacGn9ScDxbp3JqYLeCwI5H5OHhsEFSGYLgiOJf2z/ruNzObWHDvm7TTDg9Bz6b6So82P8ByHhoaT2LKfzWkH7tQNa57t4HYW/OOXOxjJJ5uAduLhjQbqQ2xv/WCDiz+ZS/+Wx9Odcjm8bsrV1KO0LBpt1knaBrGQMO2VK9wMwlq1Wq07xBgIxVuBr6vcU+8d1xNCl91KOc+SRnIsxLvBOHberyGYzm3vZgexXBlTfCVn6HmRlQ1azZIvuVgPZSH/as0bVMibfnSN86DP3tvUdJjOFPXqcS7h/a81uIkc+rQ8V00WNd7dE9fsh02VNaWaK3xPk7YxovUZRsjqpwdWcwdMm4d4JYURB/5pG9FxrITt0aTwQPLq3YgOT5zPy9YoNUrkVMDmlSRYzW8XJkwmgZ0hammw+I5oVdlM6YdsV18bkVY337RrzNw+QQ4f24oC0rgk7mt5Ve4pwh/Z4vfdoFj2TgbJSD6PAXw8IDpUNOH5U4fxvPbbZo7MZpYt9ao8VrVuSme/6xLFrk+H7LjqXVq8YWjx4uOHx+O4yQhmmw4Dg1AidWXtc7aEiqxnS2ZykpdEzGSJR+EeOnWBmMFkCtkNMajMv9kdVxEdVxFjhejlL1w+YLhritRQTaBa/7eCOJP1vRESzthcbz9sjuookvV+PcV7tsf93TnP4nWUmK5qFt23osrw0ZjIJEOLkgi0gq2pEIdCeYXwKhi9YS1axEqNSTiQvoDZCVkp94p0K5uUh/RdslRXuKfS5iHzkIjNBac9a66ancsTlMUnLgLKVXWXH4DZjtGd3CvWelZdkr47Y/C1BsOtQaMnknTalHUH2vEylMSVbr4KB8pvHIKycJFrO7UT4F13ml9PSn3vpscPkVIF2BaOzlpZqAvsk9PZdZu7m+B1Jcn1Kb6eOeGlAcKQgkwwuauo1Sx8NWxHuUGAySeEbJhdT6/NrT5CzMeNVQ7JRJf7KiMm8QhiYrBUEx4Lzl/aoViLchyUmS4b5mQFaQfNxweCcpDgT4Q6sb9B/5lN7LClOxVTXJVlZ4CxNyerGJn7Xc5JnVaIFjXvkEu5Ly9Vfd6g8ddClAvVGj8aNY4rQsrp02fpBs0ZB96bGP7L+0pV/oWjdhfK2JGnahHGnYkNZRKwwDjTuSdszuu1R+FhtlmfDltNOgKinTJfg8MN5VCwYjEL0bMreFwV5aNBLMcmZBBJJuK8whbA04bmcyUsR2cWIeK5AOwZ9NmKQhpi1CKfrEt1r4I4NvV+JUYlBPqxAIvF6CqlOIhUd2zawPkeB6Lq0Z0dMeyHV1sSKp7/eJ7hsaSJmJiV86NM81SOZzRmdz9EOeCMr8HYPXZKzMemtJvGJiyDbLCPFCVsvkZQ2XA6+YA36+dQhmj+JcfQMWb3AHQnchyHjfgn528dWU7Y8Qf9nRwht2Wm67+E998hWEtKrU4JDO4zyT49wx4Jwy/bc3I3gE99pfDVCXRrx7Scv0D7fIYlc1JkxQttKWjwLCXZtXoJ2QeYCfE2WKRoPoL04QBSCyZIgeLeCDrXNnAjs4M1xtO3v+YbOnVmKa2P6ryXMXjli8qz+iTd2+lbbIqh8Q7jjUH/0GV2svzyW/pxLAwIGl3O8eYuvccsZpuNjJOy/rqhsGYqhh6plTDulT0izMx8JzLetKTjqhngDO5J3lyeISJFXDKOdGubQ2mB0O0PerjI+ZeD0FLdnw22f/2iF9O0W7giKdkr37QWmqzl7XxbEp1LCD0s2/ONE45S0LAtMaNBfHuA4hfWHKpADh6KeYxoZIoPpikakNvTDvDmg/WOH7MMm3v+zhd+RuANJ+22HyrZlhLmzEfrKGL8j6Z9XdK+DO7JwAADxLMTvg6llVJ4JjBQUL4xxJgZxZWRRRqWcrJXjHyvm2kOCI4E3ELhjgd4JKd0P8PoSZyqQuwEmkVTXHZKWpv2Wi1aAgUo1Rh/7yFTAbEKeKLaOmnh+hlmJcEc2ALn6TsjRa9b9wUk/eandJ9yzOPPqK8dk7ZwXXt2ktCeJM8dWKf0Sac2Qf9jA/KhJ9YnCfe6TtAz99RainCMKQf2xdZWUn0uKkj3GJ60CmQi8JyHuUPL8/gK1hRGrZ4+ofvnQ9kFbBd6+S2nPHm0XvidpfqyIziUENmeGTrdC1rRDlPj35kmWU5yug9uOUJGgdC+g/G6JtG5QkSAaBUyXCqKlHF0pSJYysqph7ZvPkDsB8X4ZYwTHnSpyLyDphvg98K/18QYCI+3v1ijIagVhLYbdgMIX9O/OIHNIG4bR+ZzZ1R5eM8YdWZxSfruO35UUnvXsqo8rlB75DN6axwhr3cpLBueNHvUPPYI9WxH3L39G1+ovN7efb2kfTKnAP1b4P64iC8H5hSOMq8mrNpyke9MgKxliOyBsRfDqAL9jcUeTFRtqHDRjBldz0nZBul/Cn5/aJ5FvVe5eK0YoTREYjGvQ2yWLtM7sdGx6PiWrwvz8AO0YnJGycXxD21yOlosTIq6NBZz7pwF5GSaDgDjyqJ/uoz2DnI+tL3Xgki5lVDYkrTuCbC4ju18jmhMExzb1Plq0E9Pjr6QcvgbjVUOxVaJ4XrZEizM2u7X/gsE7dKg9cpCZICvDN6/eo38tZ3hOw7MyTgxZ6nxi1Vr8E0XSLtjfmLHWoxyixYKiZnV7yVxBXtM4U8HSH9kLRs+m9C6DXolt81pLTDW3uCU/RzqaPFNMhwFmP6B9xwYNpzXrlZyezgi3bAP8Qv3IinUrOcOPZkBwAgwAftSg9pFPsO6TNQrqbx5ayuwpjSxOKrSBtP1ET9N5taBYiTFf6+F1JcFjH2dirUdFYEibNnh6uFvl8J0FDp/M2EDlTFKEhtGVlMpzOPiyIZ4VBM98jAJ328NbD5HNhHglZbxi8Hc8xNoEHpdxJ1Y0Hs3/lDgsCB/5VNcV/rHCrSYEWx7aMzy4s3ry3NLogwBvw+ZeOH2F9mB0XKa8ZyvqrKUZX8wIdxyiwxLtK8f0X7bDKFHYY7BIJZMfzgIwfSWCkUvhnzzXjwX5SkJ0OiNaLkjamnBlRBy7tO5A+kGTwc3Ukk/mE/zOZzPB/GXP7edcXpjx2sUN3JFgeNUKZTf/8DQ4htKW+uSOybGP0GA+rpHEHpNVzWTZ3gmLVka+UbFVoKsJDhVFIdBrMe6xS+W5JJ14mJ5nLUvnBhTlAl3NiZYKwl0Hf9vD78LRozZ5yVAsJLYKOdlAy8+UjdMTUHtq2Pt6QXQzQg5c9NRhvjoiX7bVjZwown2Jc+ySNqDzsqb+kUdpTzBdKZguGFuJbDoWOxTbVKnWXQj3bQZAsRKzdu4QNRujKwXyBduXyc5GpHXDtz+8hkwkzXsCTk8YLwvmZwbEnRBZzik8QWnLQRjB5GrMdElTfaLw9+3mU3+goJLhd2E6r6g904QPAkQBpudRzGRMuvboSC7wvRwdOTBwIVaoVHDwqsUQyQJkK4FCMPuxrTB/+MfX4YUxrXddwgNB+Nxl5iNBVoPmo5zR2YKkqWksD+kOS0xOFVQ3JM7YgjrTmYJiJqOybkEC7tMA71808AbgD6AIDDpVVK508TsSb2AnvOrqENFMbWbppsTrSlTXpfAEVDOi5Zx4PmdwxYZAxyspxdi16VYVm4H7U7Lx+M0p0amM8nMbuDO6lNH86j7TRWNvMhOPZKawGR4zCeGBZO6HDrpckKykRPMaHVhDffDcY7wsMKciZCNFDRXxQoE7VBwe1xDJyXNmYi1oXl+i3uhRr0TowspgzGrM5GJKdD3CJAr32LEAy7FgOgiRUjNZsrkN4mRK33jbt4zA/z9bn4vNLY1c3rt1nuQVa5NyJ3bC1XrfIX1pjDMXkdc0pW0bWwfg3Q+pP5akFyPy2skfTmOHDLc8VAJfOr1hP7YnGJ8tKD32EK2U0iOf4u0m4a61s/gdhYqtUyJasGEpzbsChi6zP3QITo0oGjl8qY9IJSqG+Hf6eCfCV78joRBs/8Eajpejui4LVw6ZnrcizyKwt7K4bYi+OsIZSdKljNXXdkibhsX2AKEFpR1B95q1yjgXRwgJ+/0q5xaOqDxySRMHFQl0oshnM7xGgsgFKgHndoXpmYzJ7y9Qv+sgdwPbyD9JgvefBjiRYHxao72TQOklA32PtGHlJd0rdpq8/IOc+gOFu+9x/cI25kdN/HZEmjmoSga1jHDbwesL8rKm92pGfGNK8HEJr6MYL9mAmqymyXbLjE7D6LXIthKmmsmlhMNXFKqdEJ4ekf2ohXOnggk04zXN5FTB8HpK9bFC9lwmqwVO18VcmjA6bb/X4C8eoEu2v9brVEgbmtHlDG8I00GIOPDxV8dMl63mUfuawdUccewhwhx3qFDVDLUwhdy6NdxjBxMWfP3qA8xCQmXLoDOJe+QQz4Es54TbLvuduu1nKfB2XVQkabzn4z4qkTasDMjfc5EDB1MqLP1DQH3d/u6X233UswB3aDWdefWkA1/NKB3Y1sbcjQOSpYzRQYXOoxnkgY927VQ5qCYIYRFJ2rGYq9Zdw6l/LHFuV9AOqP6JJ7UEcVt8wkX8hdcvj6U/35IpuANJ+HYFbwB5AIUvGP3qlOAnFbKpS/NUD+1aiUZ8OiWrGEZrdmNAGbwdD3ciqLSmuBP7R/3BD66hc8HkUsrMWs9CIncDtAuT8yn51Qk4hqxizfQIPumr5SWBCTRJU5AmLnKsiJ7W+JVX78EX++SF/dXlE9emuhuYvJDARhmRCw4/muf6+W2++esfkFc0zkyMTKxUQLt2UDL4+8vkVU38D+dxRpLoy2NkBvn5CPVODbEdUGxUSAqHpG2YbY2Ir0Q0bnmooEA8qFBUC46+kXD2Gxt4hw7l39hn/KbdSKK2oHR6iHGs5ICTqZ8RdgPNmgXXXnxGtJgTt6zGbng54/lvSIbnbLjz+vEMcdvgvV3FebeK+7CEt2kr6OlSQXB2hAoKlmYGTE7lOFNB/ysx6dUpplSgaxYiqifWCrbz5zSlWkza1CinYNK1sX5GgldPePnNx5iSDdwZndUwmxAcKPs9H1vx60u/eY9x7KNG9mgoxg5CC4JtF5kbnCBHpoJykFqRdSsj3Fd4zRhzMn30Lg5x1gOyfkC4bTc17ULttsf3v3cdPXEYrwj89QB1YWzzLTo+KgL3UUg+m6KVRZRr10pukpmCvFKQ/k4PmUJpX1J94KLGkuLyhOFvj0naBd0/WCIvWUtZ6dwAU8oJHwSoPdtj1i6MYp/55R7ttx3coaRoZhQVTeWpIolc2PMpfRTiDQV+z9C/INn+Dy2NpggtqUbGttVQXBtTeub+4hfqL6elP/8yZeu9jGcMaQOcN3qo2FD5fong144oNSKit9sUoaGy4VB64lFUbC9ud30Wp+uQ1TXZ5SllP6X8H+2RnLX5lf5GQPDcY/qjthUHTwVJu4BcwmYJf8eFxYSXrmyQzhREywWVMwNG5zTuscNkxV6EXt/eZX/87WskD+tMj0u2iiwERagtlvzQo/bU/kzFQsL9d87w/b/3Cv7ClGI/JFrJiWc13pkRWVXTvwhyKuleN/jHwjoFSgbd8Rm/kCJTKBYTnm3N4l4Y0v1oFrF/woXb9wlf7CJyQeluwIP31shPxwy+u4AuThLiK4Y0dUhahmDvJCT62Crpg0NLCL7zbIna0sgirBs54YwluJbODAkv9eG9OuLUBCcyxDOGPDS0P7J+T+MZkic1pCoY/P4iSAgPDXrkUiolBLUEMVUndAuF6+aIWCLfruNMJM77VUpPPZJ2QXnHUPpBhQ/eufBJ9mX1qUQniuhURvWZINhXiELw/s4q02c1nIkkPZ0gGil6MSZeyBmvwXxrSOPmMcfbDfKSwX/m23za3RLG09D3SJ7UyENwhopoJaf0zCU4FgxvpOilGJRBpZDMF+TrFZRvs1CLENK6RvZckNiQbNeQNg0iE1SeOsQftuClIebNAaNrCTKDueYI94c16g8UaQ3+6q++zXQ1J8sc3H0PbwAyx9qlLkxJP2ry9cVHHL9hKz/30AJdJy9FlO7aHIy4bTWNSVNw/ZsPWZ7rU9wYk86dbO6nBxgH0rH3GV6sn/LxOVifj80tlRSNnKxlm/3Zu028v3zE8Jwh/YNZ5Dt1Guua6ssdzvzFp1aBvm49g85QUtq10oV84BGlLsdjG2MW7DoWadPQxJcjZt+DrKKRiUSkgqxW4I4F8nnA7R+fxxkqRCKYPmzYzITVmNL5Adl22TaKhR3HG4HlsbVy/AMHkUmaLRs80nmlwKzEmKlzspka5AdVdDW36VnzU8q/V0VmAndim7zG1UyXNfHEo7QrqWwo/B0XZ2orB2/XJdqpUKzG1J7CZNlQNHNKfop/rCheHRGeG6JHLtOVAv+pRaaXtwS6kIgL40+Ox5Vte1udrGriL45ptsZMntRxRzY5q1WZ0njPI7lfJ77XwBtCNvXov2Gb3Xmj4PBVSTQnEGHOhdc2Kf2oQnisaS33GZ4Hd6BIbjeIe8GJQNv2kMZbNURus2KzRkH+ysgSU0aS3jXD6ItTirKFCIQ7DpMVg19LqMxO6L+S4vWt3k0pja7mzLyxj3Q0szNWLyfKOSKDnWdtjtdbeEcKdyBIa5qsZqzcpj3F1DJUJCjvWiKM21XEszavo/6hhxl6lJ569si3q9CewfMzq3Wr2E09WBuRzuWUl0aYQFOsxJS3JePzOfFqSuBlZPdq1D72ca8O2dlpEc8Y4hlr1P/HD2/gDhRx3/6tkgZkdY1KQPd8sqrm7777BnIqqT6D2Q+1tfhl1qGgK4UNzlGGrAof//Elth/NkQ59UIbs0pTpJMAZQ7jhUYS/+I4j+OVA4edeogD3yMHty0/48cMfzdG8K8hLMD6Tc/xbEUIYbj9aReSC4aXcPtEUjM7ZuD6RC8J/UCe7VwOg/lTjv1chOJBw5NP5izFyObKTv6FERZK0bshaOXPvacTqlPD0iPmbB7iqQCeK7FYTry/JZjO8C0N7gc9k1taz7toj9Ugw/miGxoWuxVergvL8hHwhxfvNI4yE6n0PmQnCIKPzKyl+R9rIuEtdnLGi9kTCwCWeNeRlWHhzj6xqbB6oATljszxLh9oikIRBAHlgKAqB88cNnMEJX+5sbH+xEsTzkDRymZ7J7HF8wf7JZS443e6SFQrn1IT0pk3K2n00S1q3x8SfuhgorDbNuJqz5/fJZnKicwnOjs/OoM7gSs7xSzC6M2ODrAND1tBWzzW1OCG9GOP1JFdffkaxGhNuO6hbVaI5TeU5lrIMOH1Fej6ivGNlNvKjKuO9ipXd/HqX4vqYST9ElXL2H8zh3y5xfL+Nt+sipCHo2LDtmQ8lshCUDgxyISaraYSn8f+ghpg6nP3qM4YXc/xjQbEa44wF0VJO/JURIhEWNfRan7RhbAJamJDOFPg9O8nVH9eZXeoTrddAGkwhGN9ImF3tEWx59DcbpItWj1jcqgOQNezmNdceEv7Y5pMCZGdiojMpopGSNg3htqK2Lj+Ri/R+JebgdWntdHsu8WkrVRG55Q/Wn2iK0GDKBfXbLt6Oi+74qKcBecXi5N3hZ+T3/P+lyk0IEQghfiKE+EgIcVcI8V+evP2MEOIdIcQTIcTfF0J4J2/3T15/cvL+05/mu9CeIW0VjM/lFg19ZUrn1ZP0q1KOeli21pJD2yhFGfJzMXk7Q6aCtKkJ9xRHr9hGduPHPp1rgsnqyV070OSRQ54qy7hfST958qAF+7+VYrZKJI9qdH68wOBpE2/XxR1BvJjjdF3izarVbN33iBY0SdOQtrSVnszmlmL70x/prTqV2z6jH8xRhIbJsiara+phbI3sgH9qzOBJE2ciGJ7T+MdWuBufjzkelylvCwbXM+ovH6OeBWQjj8NXJMNXYyr3fXbXrUwg6wZMvzK2TW4J/tOA0r5gsmKoXOkSPghwKhl+x1YW4aEkr2oePV4ivtfAfbdK3rXeSaFPMh1CgzMRdL8ZWY6YhMZdh80PlxG+/f4r17pE9xpU5scUFU2xGuNOIDw1wjiWcMxSjIpB7QQkcwV3bp1GZ4rotKVTnnlph8ITOGMrHhaA2g4Y/fkxeTtDaFD1DMfPiW61kPcrNN+1F6/2NH7/hIR8rY/zLLBezVhy/IWceCljfArEpu3VhdWYwVdj5FTS8qe8dn2dIgCdKdqv2XQorW22QuFDdruOnk2Rz0OOn7Xwj+zgqfLUkoUHH7RtEtaei4kcKh/7HB9X0Y6h9kjRmhta+KVjcI5dggNF0jJoI5guGaZzwjb++x7OsUvl/ZBsJSFpa/Jf79NYGNkqyNgja3nHPrfDWkz9ka30MBDNSPyOwN92ycq29SKaKXnZEK8liAOf8aXs0+wH//r1Kau2f58qtwT4ujHmJvAi8OeFEG8C/yfgvzbGnAd6wN84+fi/AfRO3v5fn3zcv34ZMPMJ+BqvYy/w6g9CjF8QzxXIw5OeSSFJWwWiltKcH+LdCyk99nDH1ibkTKC8I6mvDRh9NSJvZ5S3bDVIWEBqhZxFraDSmOKOJdlcRvMjRfN7gZ2YuobsohVv5mdixqc0wYGDWY4xjj1OTVY1Zj4hb+W4Q2nZXKmk7seoSJInDknTMH3ZJpEHx4LSnsRbG7O1PUMQpvhvdsieVNGhJji2fwmZ2QQwkyimuxWSJiAMxxstsorBO3DIFlNeP/+MPLD6PYTFmRsDwYUBwZEkaRcMrlvzdPaDGaZnM/RhANIa2+NZzdrFfYJ9h6xVUPjgHypK6x6VDQkXJlaKEhqKROH3BcGBpH8zo6jnyCMP2XfpbzTJZnKmmzVay30q74eMTmsmB2W8jrJ5ExPHhh2fHSNjaf8eYQa5JC8b9r+1yvC12AqgtSBfSMlaOcYIarc9tG8b+Oph2Tbuqzb3wF+YoiaKeEagpoLsvSbGsb+vop2CwGaeFoLgSOCMJUppirHDys097h3P8+7tc6RNjRg5lNwMbybGf7+CMND6yj55yeBt+hZyYSA7GzO8lDO+nOJ1FM0HVuKRnTAHx2sa0bG5Bc7UMBja7zlpF1Qvd4lW7HDlaLdhB1DXY4pKgfE1xVLC6FyBiRzCfcn4sEzyEyvyDu+GqFgwXQLRSIm6IcPzQDWnsmVv4EZCXjZM13KLMR949jlXyvAGksaHn8FAAawi4dM8fsYSQvxtIcShEOLOn3pbSwjxh0KIxyf/Nk/eLoQQ/9eTguljIcTLn+Zb/Zmbm7FrfPKqe/IwwNeBf3jy9v838B+cvPxbJ69z8v5fE0L8zJpYT1z8SkJW17gv9RitYaeXI0lRz4nPJdT+hyoilZiuT+m/bSCLE8N9BDO37BHWfLlP/EEL916JYMtjfCVlupYTPPMpPXcs7SOTjJ/XKAJD4z2P0Vkbo4ex/LZi5FJ7Ys3npV1Jej6imNjqxRkqTCtFRw5ux0HeGDA9n2KU4eGTJYSBpfk+hQ9iK2B6JmN01ibUV0LbZOetBvKftlCJINh36L+Y/Ss+vwRcjduTzN3KmHnbpX5fYWoZ1WdALnnyty+RXog+ERer7YDw7Qr8yPbIjK+pPnDJZ6xyXpUzStuS0p7B7wpaL3Q4/M4yRkBtYUR80R7bphcTtAfp0LeVmP+vJCxp0zDzE4dg1yU4O0LkgrVvFZQ2Xarrkul7bYsDjwXOUKFeGFlJwkjhLU5ID0qoWDA+l2O2Ssy8a7l0k2sJ1VpEbV3S+oGPu+3xzZfukA58onm7MXgv9Sy1pSdwh5LwwKAfVqwk53xCbdNifmZfPKD2yjGrS13cY0uw1K4V8Gb1guROw+ax/qNFxvdaiFJO6dyA2rpk/1urZLFjEfStnN4kJDiWZDVNPpthXI2QBlXLQBjShYzRKUl1u4BKbnt3Q8HqtX2Stma6INC5sAHVuWB0v2Whq9fHyLGyToWpg3/ogKtR+z5L549s/u65HJFIopWc6GzC5FxGeiEimSvQucStpuQ1a8tyJ4airIkuJTgTwcy7injGRjqqBOrfKttowsrP3gw+zfoMK7f/F/Dn/8zb/gvgj40xF4A/Pnkd4C8AF04efxP4bz7NF/hUPTchhBJC3AIOgT8E1oG+MSY/+ZBtYPnk5WVgC+Dk/QPgfxSaKIT4m0KI94QQ7+XRGJFIkmNLMI1jl6KkEY7GHQsqj1zm/shluGYnltQz0rLEvDZgsqpJ64ZoVjA9l5J/2CA9HxEt5RYF3XWsEfrGgOmp3HLQCpBty/savG7RQHnASRoRVB85jM5aw7j27F2wuTCk+sQKbU2srN5tKshSBzLJwg8ljVsu2jXsrs/idwV+T9C45TJzSxK/NuHoeRPuVilC8MaW+JrMWU9pcKBQpZzzZ/cRQ5d0MWO46tB9yR7NS7WY4a9PoRB0Xiuo/yig9sT2lfKqJq3Zjb7+W7ssrXYYXcg5+3ftka1USsjLMDxnq9vkj2aZnsotATlxMRMH/1hSeuzjDQzhpkvtgcPcu1C55xMeCPJawfgUJGdiisKmhD37q4boUszgeoYzgdHlDHckyOdS4p0K1Q1pJQkfVZGtlKxhxdIYmC4K8sUE6WqG+1WGlwo6r9rj/R/eu4K/71j4ZjPF/b0GSbtguqjRjqF3XZ8IhwWl+z7jZUlwJNh92qbzaIa9DxcI9221HB4Klv5A0VwZIFNB4wOP3g3rdqDvMdqrMriaMTlVQN8j2HMQQWEDszlJeQ/sZiM3Q8yBT7Dp014YkjYMz3/TwMShWEiQL4zZOmwil63P2EQOfL8JEi6/uYEzFWSHoa3GDu1G6Q1BjBy8c0N2nrVRqaA0O8EZ28Ab58BDxBJnIwBhuHpmlyKXBHuKmfcVKrX5FOrAIzsb44+szi4vG4bnC45+xWotnfGfvQL/Dddn1HMzxnwf6P6ZN//pwujPFkz/7Umh9TbQEEIs/qyv8ak2N2NMYYx5EVgBXgde+DT/72d8zr9ljHnVGPOqE1Zwh1aXIzRkYw9nLmJtqUNwbAi/dsRkURJdSgjPDwgf+hx9NcN8UCc8kFQ3YXwxo70wtBOkQhIcOvhdaWmqqwnmVt2y6AtprV63S7RuC+SRhxMLsrolKBhpcL92TLZsFe7tL+8RLoyZRL6lNTw3VJ64VJ5anI5zp4xIJPvfyEgb1inhtu1xVGZWcNr5lQSEIdy1yVB52TBZkpR2FcH8hMlF+7V0z2P9wRKmnKP6DkUoWPyubepPD8qwUSLYcyjPTYhnBOPT9vv98iv3kRkMrmXs9WocfTjP6pkjNv4Dxyalx5ajX3kubE7Ea1M79XWg2C4hKxaBJDT0rxii0yn1v7DH3jdyJtesswFPk55Kqb8bkMbWlTC/1Kd8N8DtOozP5jZ6LjA4Bx44xg59VhLiCwlFrGh9oKxUxLe/g3Z7RP37AY3bDv6BzXVwOw5q37Ph01NBMXTJyoKl74ETCZwrQ7yuQmbg9WGyljO5lJI0rUHctFLc8yOG11OcKQxeSjBS0O9WyF+YYhwoP3coV2KMp3H7CjVS9ko4MfqXPw6of+iRVa1H03lYovZY4UwF5bMDwgND/vtt8lbOr794j/p9heh65JlC7gSUw5S8ZYXO8ZzBhAW3H65ad41r+5md13McNyeatRhw5wd1vCNFtJyTbFTJGgW3jpZwJ1aAmy7koAzrR22EMpT27OfY/9WCcFfhd61HeP8L4FwYEZ4eIbRg7js27Ge6/Bk0wj7txma/VPunxcvJ429+iq8wb4zZO3l5H5g/efmTgulk/eli6n92/VzTUmNMH/gO8AXs7vnT3NMVYOfk5R1gFeDk/XWg86/7vKLAThIPpO2N9FykNOy8u0T854Ycd6rwxT7hQ5/JVpWsZsODVWqf3IMLBn/PoXd/hvzqmHpzgsgguz4huRbRbI6JZws7Rs8VYqpIrkU2c6BS4I6skNi0UsRSTHevjkklN7/0mJ2782SpgzE2MGV4FsaXUrI3R0SnMoxrm73+lkfSNLj7HmkvYLqWM3k5wvlKl3ItRgiIVjJmrh9RW7dHPXdkG9jugcvshxqvK6k+UTTfcylmMkanNYevSMarUF13QFgxbvKoZkNW5lKKAH7yh1ftL1ILxMMynJ5y8N4CfkcRdAzLMwNUCt7ABsy0myPqDxRZ3RrPy9WYZEYzuZAiU0F7Ycj4Hy/QetfF3wgQi9YrW77j038ptTjr2Yzx9+aY3ohQU0HztiVmqESgl2O++NJD8DRukOOVUsTYQXuC4Tk+UeWPfzxL4QviGXBi+zwo7whqVztcvrRNWjeUnzmMzhb0zyu8vsAYQeORJjwUDF/IKW1Z5p3QNgS5dC8gPijDCQ9Q9lyGpyXVxhRdWDtVVjWWbCwNeVVTfXoivzlUpAsZeQmc2JC2cybrdTu9v1DYjSdxGa3B8KJGeAVv764xuKBxxoLwvZIlrLzXQriaaDVDJrZ3OPOOQ7xmhyjiwhg1UqhbVc6+tkXeKIjeHJOXDbgas5DgDhVaS7KTtwHU2hOKQsBOSOe1AuEXiFja5PqSdSpUNu0l3a5M0OWC0SkbN5iXP5su/89xLD3+afFy8vhbP8/XMcb8wnPXTzMtnRVCNE5eDoFvAPexm9xfPfmwvw7805OX/9nJ65y8/09OvtH/2aVdiFczpiuFndJFcHa2Yw3R6zUct2DcKaEtSt5mdS5ljK8kiEygfWOnXr4m6wdM7jaJTmeoh2XURkD0dpvFHwobhvI8tBfCyKXwDG5fMT5bYCQ4Oz55ogh2XMpPXd6/fRb/1Jis71PslkhalqrRnh8SdwPbT+pBUdKkLW2rzpkcp5ZS2nTQY5f+QZXJVhX3gwpqpDg8qjFZtAy5pAF55pBXNcc3JUZA9MaY8Rqorkt4YPNCAbyhIbzcJ1wckzdzxq9EhA99isA+8aPFAmeoKDzI+j7VZ5CHBiMF20dNJmcyelegsm0Yf2ee/rUcVU8xpyOiRw3al49xyymsRCR/0sYfGKaLgrRucwmcjsP0ZkRYj/F2XZyOi4ph8Z94qBR6Nwt7zJ7RmKHH7cNFzq4dIu9WSMb+CanYqvmNAKoZaUMzXjWUXju2w5yZ9JPnxP2nS7hjweR0jvEM0cL/h70/jbUsS88zsWetPe8znzuPMc8ZkRmRY2XWxKriTJCi1JLV6IYbbRkNww3YgAxYNmDAv2zYv9o2/KttwWi10VKzLYmiJA7FGlhkVVZmVU6RMY834s7jmc/Z817+8V0maVkUs1ipRrJRC7iIuEPce+Lcs9f+1ve97/OWjC6kJLFD56pMl1WiKT1wewqvK/KWaL6EQoYJuppx9eU10pbB/RdN3MeBkJunCtSzgKn3xJeZNmDuVzZIzsRUHrqkzZLkV/qo2KJo5qRvDlGtVFK23Jz6lSPKRoaJbCZjD1PNab+yz+SVCRx5eK90sL1cpte2IdwvOXq1kJvYOxbJ2BX5TcPQT8QhobUR6c7IppzY+PuKycct5l7aw/YK3F2b/Ect/B9XKaoFtUc2M3/oYU00ViRxjuOVgsHFnHiryvPHs9hHQnkZrxTo2fgvu9Q/3fr3KwXZ+9Pj5vGf+8cf/6RgOl5/vpj6C9enqdwWgO8qpT4Gfgz8oTHmXwH/APj7SqnHSE/tHx5//T8Epo4//vf5s6bgX7xsQ3V6zMK5A4q5BGek2PyXJykDIVaY9RAVC+HCeCXxYsbp1X3UyBZsz3SMWY6wR/LfyaZz2u+JDijcFe+l+p/si61nNUJlCvfAorohPSGnK9mUWbNAjWXMXzqgMk008NGRprIlhu6p2zmDsQ+2oWjkjE6U6FoGJajVCf6WAxuB+EN7Fs6RjdPXjE/lYoTe9T45UmU1gx+kWGMxS6fLKbVKzNRL++hUkbwwIQ8Nwa5UjINOBcsq8fZsvAcB0YVELGLHz4tamZA3C6yRRe+8XFi9l1PysUN1doxzfsD+VzLShqH6xKb1rQD7YYixDPuPp3DdgnLPxz8yHF0VOKc9Uth/0sCsRijLkD+sSXzidMZkyZDUNVnN0LppQT2n9Ep0pPD/aZONHy0RL+bonk3ldJ/yxhBzPBW2tz38Q43bU6S5TeGD+9xjvGzo7DSwgpziVAQG/B37k/Dm6o8DSttQe6Zpne4w9+Y2SdtgJQZ7BNZ8BEah2imm43J3e57aGvQuQnwixRmIWNmeKIKjEq+jKHx4/GABdeTS/toO7kBj61JYgLddsmdV/LsBXkfhOznl701DItmgr596hh7Y9H8gJyidKPobDaZ+JwS7JG0X9H5zTPtDGaAcvFZwYumIpBNQhCWL1T7ltSHFmrRmvK4mnJowfCGl9GDr6TTlrk92IpGc3YsZS6cOGV7MOLxuyFs5lW1JRXO7csS2xzKo0qfGXLi+TvWZRfX74ae41P/y9e/ZfvXnC6N/s2D6Hx9PTd8A+n/u+PoXLvsv+wJjzMfA9X/Lx58i/bd/8+Mx8Lf/su/755fKFNHjBqN6BWtkMbkaUY4d3FZMkoa4C2PKzQp6PiYfO9iVjN1vL+M5UgInXQ8VFhStAhXkmNQibosJ3IoMg9OGqCNp68XIwioEszR8McFElohfM/D3bZKpAn/HxuuAlWiqGza7XysAzeBsSdKyybdD3JFgpdO3hhgDaV2Td3waG4beNyKKQmFKhT50mb4NHUfYcmp1Qjmu0L+eosYWWWaRNwqKQGEdunTKOu62QzZVUP9RSG2zYDxnkS+kMLGIJh7htR7DnuQiFLEFx9TZzqUKretHJO9MUbpQ+OA/dBmfzBlv1QgWRnLhF1IJWokBJAJvcEYRTVxKrySatVGFBJ+kCxnO2JXJ46FH0S6Yme/T6VUx2qZ7SVT+/XOG8J7H+FSOseHgFSNgg5H05xSQblVwF8c0qxF7z9vkFYW/L/+n2hjMGwOiZ7Vj7LhH5bmFTmF4qpQKJRG/qdvTxFMG++1pxoGhaBiGpxQ6M2QTh9pzzbiNgCknDrW/tUPn8Sz1j8V1oFNFeW3ITqPK9M2So2sKp2fRugcHgwWsGHoHVbyzI8aOSEOCfUP3iiH70TTJawnuhkteM9w/mqWsFMSugUMP5+QY+06V3W+kkFii0XyvJtPzlTH0PTb2WjIhrefcfvss9kiBK8CGtGFIdqpY7YRw22V0UlNWCpqNCcMFl/pdh61iGvfAIj8Zo4HhaUmuVyUihVlNUM980iOfBzurVJCshp96fYYCXaXUPwa+ivTmNoH/PfB/An5LKfX3gOfA3zn+8t8FfgV4DEyA//TT/IzPhUPBCnPsEyN0mKNyaYyG6zbZfoAzP8H5kYQYF6mghMIwEeW4AXsC9tCCvvRdGDg4BzbVTUPaMBy9Ko1p925IXilpPFBCs6gXNN91CTds8kaBO1A4QyTCbTkjq0rS/XhRU3nsCFLckZ+pZhOCfbmoy1Kmgcu/bUGuZHiwHmB6Lia1KGdSDn4pIa8Kmy7rCd2h8sClsm6hHlRQqZI0+JMj2fBWUvBKotfHbP285CRYey460ZSFgj9qYQw4D0Ox57TH7L0B6cmY/pMWadNQXBxhTRTJlBG7Wa5QCuozI2o3juhdMoyXNM4A1G8ckS8m+HcD7IFFMmVIl1NKT+xP43Mp9uOAyqboxg42m7j3AlhIKP2SS2+sYaZSsrqRqWKiqGxoei/kRBfkOJQXcpE6P67RGwWfXCTe8bxs/KURl2d3UfMxVtfGeAWFIwMZAKMN8UKGvyRWsmBPEc+WpK2Syoao+a0LQ1ozQ/yOYeWf2FTWbCqPXA6+uwgK3G8ckrw8pqgWFE+rGMuw9/UMtTIBDaNlRXIyIZorqd92SXo+RT1H5XD0VobX1Tg3ukJ6DoUw3H/cwqkn2AONdyS/z7xi8GsJTjMmuC9e4P4LGcG7FRleKAGa2g9DiuUYVUhYTDRn4PwYb99i5l/5wpCr5VgDm+GjJvbqmMG1hOpTG3eoCCop7qMA006pLQ4JXj4i2NPH4eUGVSoBKBwn3f+0S/0Eb3/ZMsb8h8aYBWOMY4xZNsb8Q2PMkTHm68aYc8aYbxhjOsdfa4wx/7kx5owx5qox5r1P83g/F5tbMbEpS8XKXFesT0NFfEmOmf4Pq4zO5hT1gvCeR+OBYtCpEF7oifj3WJU/856S49DCGCtR9H5tjHuth92zKE7FoCDctBidlDQglWgKV6Fe6eP05QUXTxn8MMVrxiRtmb65fcP4TCZ8+3qG24Pmd32yGhIislYhWsnpnrXxDzSq4+L2Fd6hhbtrYyKLMpd0Lx0f52geiQsge3UoFrKwIFnK4HaN5l3N9Hdd0AbWQrxWjNeVvmIZlKh9j8ELKaSaeF5IJqNeSOmVmFxT2dR4HYVZr5A1SnQCzXtKjr0P6wx7IYfbDaxIMTqTkVcgSh1arRG83Cefk6Pb8r+0mXkPzMMqll/ApeEnr1qvFZO0S4IPA4xfcnttCb+SYl0YUtkUFp0y4B5Y6ENXfk8fNXjx/DrjFQGJqrCQflcTGt/zKTcq3NpZxL0ru5m35RLPFUQXY5r3ZFDhHNnEuxXilZTRFybYI0W4NOLKb94nb+dEQ4+81PTPwubXxA0Qz4jlKdiy6Q8D1OOQ6ZUexjYE+xrLLbHvVsgrJf6bh1w7tUlZyxneiMEpsfs2WbNA922C1w4ZHlRBG8pp8fXW1jTW3SpWokjPRiQzBUW1JO75zDRHTE7kRPMltQeOvF7mErwHgVjLUlA7IjcanpB+bjWMyRolaVWiIvXApvSlPRN+twqRhdEQ7hgmW1WZcivDcL9Kb63FZLGkiC3crlzaVqzIR85nZ4n699tz+0zX52JzUwWUGxXW781z0K9SeAb3UUCxEjO4lOEeWjQ/dkivjxieBDWxmDxsCh7Gln+//5WM8GyfdK1GvJKSThxqfkL9Kagtn2DfMFkqyJoF0dmEi9fWSdqQPKrLBqnAu9Qnf1Qj3Q8pjtPl/V6JVc1oXD3C5JrhKdHUpU1BBuVTOUsnDxmdzcX6dKSZnBcSROMJhM8cgqeeGKJ980mcW7KSYtslZSsjOE6Yjxcz+JUOpQ1z33LIZjPyXCQntacalYnIGKNov2+jMkXjgcLeFemF1bMZnhdnQuGXFEFJXjV0rhcUrjTeTWTRvOmQtQrsWkZ6MWK8V2Fwd4rsUR1v3aO0hRK89yXxLBZDB/OgStI0qFSR7oWU1QJjgUo1jG3SZ1W4WRdySCjC2XRGNjCdwbVfus+jPzjD9Psat6dZmO+SV0WjOPN311ElxCNXENkTRTKXo6cTnHV57tp3RIPodsRlUuaarG4YdwPevXea6vSYubk+2UctsprhzEubqNUJwa70U90BzLcHpFMF/Y+nqK4LDii4GWC0ILdGE5+7b5+Wo3vHxV/zMEsxyohmrrNXx+pbnFw9ILzrY48hq0HzcUmwa1D7HsGmdHrsjs3oD+YJtmx0ohitlqgTY5znHkmrpKjLlL55nG2Qno2I53PS701T+obO6xksxoKh72lKByE4z0SMLyREMwqdKMJXDilHDk49wXglxjXHzg6Ddyg3Um/HkYS1z+Ja/exEvP/e1+dnc/NLdA5FLsx3eyLiWWzZEHo3UsK3qxRzqSC8lyPJM7g2Fr1Zx2HYDWExhlzjbrns7LaIZuQIOplX2DMxF85vYXUc7j1akjSj1Qkqh/GpnPROA2NB+6YmeOAxWck5+h9J+ExvEHJi5VCEmDVBBgG05/vsHDaozo1oPSyJTqd4FdGtpTVJNjLXhsSvjqCS07tS4nVFuJndqTP/TQdnhPgHIwvzB1P0Lhv2XzdoTxTppS0yjurKgPoTBMW0JLpAbyBcMGtgoXLF0okj4rkSe6yxminhjpZA3xiCLx4SrtsMT5eEM2OC90P0hk/lmeSZVp8dB6qEBuvLHVZOHVB/rKAE58oAnUslUF2zaH0g0hRjGanMbHAGUMynlGEJucIaSzBO2jTYqpSG+lsStdj54Tz2WIJO1jst8umM62fWmb2xR+X6Ebgl080R6WJG7xIcXFfimSwVlUcu9qaH8UoqrQg7zFlp9hhGHvFChtfR7AxrZENX5DM3RujMkP6jObzpiOBAMbiRkJxOqG6W2JE8/kY1ImsWUChatxRpu8R2cvy5MToBFVmUsykbHy+QtCTiL20adr9c0n2pIDg9AAXBpujOAJJWibEN7Y/l/XS6EHHxcwdnbDh6NSeZLlCWTO6Tl8eS3RDkFEOH0hGvqFEy/c7WK+iew/BySuNCh85uA7QhG3pgl6hMMbgsEpTkdEweQLB37MD5LNbPKrefbBU+1B9ZFKGw06xYEc0Z/G0LFVn0Lh5vBlVQdilHH0s4WjwPyRZSrJMjtF3i3Q7kyOlB8NAjOp1i9y3sMQTvVNj5lycoagX12RH2RGHfrjD/rozWjRZM0NHLBbpA8iOfVPH9jNXZDl+Ze4S6PCSbyRmdzbl6aZ3ORhPnqU/xnlSSJJp04uK90COehqn3LLw/qZHvhSi7REea0gVrOsEdKA5uCAIIwDQzoq8MsZYnBDsWxii8pz7JVMnRS4ay1Ay+MZZk96UU+8SIwQlNeW6CmUsIdxXDP5in9I51Vx9KkE4+neFcGdB53JbeZVCSPagz88ubGKCyY8TKNK3IWgVoyN5us3VnjsFZ6d1UfrtOMlNQ2VKC2M5h+Ree47Uj7KkYe6iIFgyV2x7KL2h9aGOPRfJSuoa3P7yAlUDzIyGUGEsqX3uocL5fJ2jEHEZVDn80R3e9hdKG+PdnUWMLYxnxYF4ZEi9IZVpdh/C5zfggpMg09x4sU9ypU3vgEJ9IGW7XaM0PsCIwzyoU3rHeK7MZXEkxicbZdNn7gqFwwTtURN+bkbbBVET5Gx2J6fuohvedOoOLOcYxWHZJbU0THMhmW73QxapluEcW4/U6eSg2uslyweCC2LKa9xSjVYVzs0qwbdP4+i7tL+1y+GqB3bGpPLdgK6D5QIKX07GL/SgEZXDG0ldWJyafxPyV1QKvntA5qBO2J/jtGJVoZr7vUF3ThM8cspqhetMnODCMvzQmf3Pw01+o5t/7tPQzXZ+Lza1SiRm9HoFXkvY8Go8h2BcGmMoU4fke9kQayF84vUZaN6RDl3BTk9UL7D2XLLWxn/vElyMWLuzLk1wg8XcrkZi3v9ZBf7UDBkoj2QuqhI3fKBm9GB9TeGHmHYvgKwes/OYawYGifL/B2t0F/tHbbzFVGxOuOQQbNoNEzOhpw1CEhr0vyN3XDVPSmy1UAf2vRwzOFphaTpnIVCt6MaJemwgltSKEDXfHoXrLo/qHVfKtkGipoNUa4QyFpe/va8yPG+SHAVaiqLQjaYrbkEUOzcaYeNowPFtQfWJLs70ulYX/3GV8FOLvycZafSZV18ZBi3I55uA1sTNFyzkqU9QudhifzWjeV8dVmSFpKLAM3q/s450eMF5UbPUbWB/WUE8kaCevlcSzBgY2yc8PyGoGnShMO4Vqhj2C3ssp9ZkRhQfVJ/axHg+KezU2NqbIapLcdfHEDkkL7LGm+lyjI02e2VRnx+RVw+gE8vrwC8zYpnXTIpktSJuG+scu4abN6G6b/ospxUJC2oD+KU155KIHNnMrXdK5XAzxdcPoUkp1oxQO3jerjCYe7VtSMelfPuTSxU1UkFNkmt617BMk1GCtiX8roPAMwa6WK8qAvyv0maKZi4XONUxWc6wYDt6bY2uzLSCBbYXfMegC+r88FkjnbZesUVK/6+AfGgYvZGRdD/9ALH/VRw75RgVllUQjj2QnlIrtNIxOlEzOpjgjRTxtGJw6dtG8X/9sLtafVW4/2RqPZaKkBzathQGjFTBf6BOfSLEniuFmHZ3JEejtDy7gX+2hh7a8KGKNLqD64wArUpiuy/ZWm2IhYXw6Y/HMAZZVYoICz8kZPG2iEo1Shrwhwtv2uw50XfKqoXQhCxXdfoU7D5bJvzAgni2pP7I49c9LOj+YJ5orKa6NyEtNZU0i6tKZHLcrurk8s4/ZX1Bkx0+xMlhBTuNMl2LoMP5wCncok15jQTqfM7yc0j8HZjrFuCXx29MMz+UU/nE1cCbFO7Akk/UopPQkcLf1I4dx5JEtJ3JRJbBwYZ9sJWXhC9vEyxkL37IoPYhWMjBC/Fic6hOEKcYvKHyDnmjC5RG9bgVv26Fzo0Atxtg9i8G5ApVo9h9Nkz2SkOnigybRcsG5Lz7DuAb30KJ6oYtxDfqHDXSqCK8foZ2S6emh+HgTzWC/St7MGZ8oGK0qgn2D11V49QTvUKO7DvfvrsjUeiZjtCLDFMsuSO80ZENqSBKZ0gb8ku71HKdj4QwUld2SyYlMBkdOieWUxCupvNobEqR8eG8aryGT3PZtAToOTupP8i7CH1RRhQTRdHYaPHr3BCayMaWifs8hvj4hnsvxDjTx1UioHSdyskZB8FwIHKpU6JGN1U4wFlTnR5QOmDMTyDSmldG/ltK5dlyRrVVYmO9iRwZ/TzO4lAuMoC/e2KxhyFYTkpbh2qtPcJ972Nse3sIE4xpqN46ormvI/iw+sHb1SNwfn1E19bOe20+4rAjUhk/rjiJwj6GKByFWx8FY0LhrkVeMNExtMXurXBFPK6yFSLJCMwgODcGOHGVNqqnMTJj89hz6ThUVWRw8mKYMSmhmRA+a6EhJxF1TUdnUWGdHxPOi0yr3fbxdh8rv1nD7wlXbv+4SzxeYsCBPLYa/N0/alCg3b8eRTNDLI4wB4xdYqcEkFrPvKhZ/z0E/D+gPQvxtWxwKbWheOaLx0iF218Y+csibOdauR+OWw+RcypWLG2QrCcFzB5VY1J+KBMEKc0w7xapl9K6WuO/UMKlFVjEYG7bXppn5tks/8mkv9Dl4WZGcivnS1QdMXoxYubzL5sfzTLaq2IcO1kThDjRJ7PBLl+/ijIVQW+75uH2Fvyf2KlPLKVdiiuWYaCXD37G4e/MElLJhxu+3wSuI5gzVDUXyzhT1aiRHvj0XFRZ4zRjrWPhcnh9z9GpBNGtIOgF5zXDy2jYmKCBT6IFN0crQtYxiM5RKdSXB6VtktRL3cYDu2XjNmOo6TP/iFkcvKCFw1AqarTH2w5DwiSsulB0P9+IAtRBzfu4AnSm6lyFeKJicSSmbOb0LhuGpksEZxfBU+Un+gMoUQS2hulXCRkD9oU3WMPgfi7TF7lnUH9rYMdTf2ifcUtSeaLyPQ6ZuGs5NHRCdTzDPQ3BLKnc86ndcwhMDsrkUd6DI/skc3VcydCaVbferMlTorTfxL/Zw/BzvSPG4M409VlQ2FdmzKsGmxdFaCzsyOEc2KEN5MmKl3qf+87vS1/0s1s8qt59sFT7iE12QYBV7ovB3HCpb0gQdLxsaDxR6LP6/xu9V8I8U45WC8IeCFE+b0L1SMjmX4s1NqLQj4id1uq9lIpkApj9Q4BXQcyjmE9RijC4U41M5VgLcqtH82KZ/McftCDuu+42IpTe3cGop49MZ9fsW7fk+HHpEb4xxLwyw+zY6hxO/skaeWXDgYR85lI6CQnF4HfqnJT/TvxsQL+Zk12QjHb4vSGzhp8mFZE8UeQXU2OJZpw1dl/hcjPEK9n8uwxlpKpUYe8eDXfGk1TYKrIHF3/iFdxhcyrDGmoOfT8i+P0XnsIY+McYLMz78Zy9gSsXG7XlUIdNXY4uZPWmVGKP45h9dZ3ItIpvJcfuS0eoOhYNn7ztYaz6m49K47RCdSTB+gT3W6BNj4sVcqhLH0H9FVPVVL6V8vU91XeGGKZUgga0Ae6TJRi4Xzm9hxyKkDS726EU+FIr5U0dUn2vCVoTtFNI2mMrRtsG9MKD0DNUNwX6n+yG9N1Kerc9gLCgDI1DSP5kiacnUWIKuFZOdKnnP5eHeDK0LHVQGTldTeexSve9Szqa07iqymgxBCk/8w05Ps9AcsPMlQz6dkb01kJSvqqG6CZVtxXipZPLyhPRfzjBeEc+n2zd0XlB89NFp3DCF1YjgmUsyJf0+804TZ8+lvlYyXlCoyCKal0GHH6aUDvg7FuO1BvlWyPhkwbAbYn2hS/98CYsxkzMp1TWp2qdvSjvAfhzwtNtm+9HMZyPi5WeV20+8JIgjP1ZYi7AzOR0zmTeY1Qj/co/uCyVlPSeZLRieUEwuxVCXI0vWzqWyqxagDPlaleRRnaKeQ6yxhxbWTEzhQ/sdl6kPNUob8r6L0QZvzyZpCnE3mUIgiCsZVqSxHwcEtgi33EMbY0PvcRuVK7KxQ/y0Rj6TEs8VPNqboV6LMFMp+WzKaNUw9YFFMSW46bKWk9UMsz+wyMYudt/CPwT/QMJbMDA5LVkF5tW+qPK1KPIdP+fK2S2mv+9QfW6IbzcJ9qRZTwndC8L6/6fff43guUPpGkxk4fYNJBbpyKV8UCWvgBnbuH2NfySgx6IlEEUrUvhBShmUmFJ0Zcl0QbScM3glxu7ZLN3YobRF/T9eNnz10kPcZkJlQ5F2fSqzYxq3HEq/RHUdhudyNvdaWD9o0HspQyno9Su4fSWAzpHFg6cLpGcjmQa+32Jwdwo9skh+Z5akLf7i7DAgOx0Ttie4XsZkuyq2tkVFsGVhjzSrv6Vpvu/iX+phlMEea8YrkpPRun5AOvDEH7tpYY8s8szGtXOyhqDO05dGjF+Q/Iv+eSgqJaUvBOV0KaU4E7Hz3WVmzxzhb7jEOxWyZoHfkd6kOzDopQiz7xPNKOqPFc3H0lMtfEO4ZZHuh7i3QsqrQ0oLxudS/EPD9EeGzhVFZcfgHcjv0v/VPfL7deJTCdFyjr86pKwUGKfE3XSZ3G/K904s3B2HtAHdS3BwQxEvFDgDRXKnCbUcdb3/01+ohs8MVvnfx/pcbG4YCKYiojMJblfhDoXuUNlS5D2X6H4TmhlWkONPRaK+tgzaKfEPFcorKE5F+M9ddFdSjCqbiupjh6kPZNpWfVvSqvrnDN2fjyhTEe7Wn4qY8vov3sObikiPOfe1ew7OUHoXd9YW8d6vks5nkoieyvcP1lyq6xo1tjGVnLnmUIgQ2lBpxNgTxWROQWKRLGSQaQrPcPB6KdYp30hcoWuoPZUNwzkUN8TkMKR0DdH9pujBuj537q8wPAmjVUXlWofRjQinr7HHmvh8TOW5hTPU2DEEuxZ2TUJNqnMjrI5DOp8Rr6bYjZT4ZMLkWkQ6mxM+dhmfLNCnxsRrNWqPLRg4lKsRVHO8A4vqTR+j4PnmNLoA7BLvSHHnaB4eVkjaIpSdDHzSOlQfS8aqShXeY594xuBUU7QuKUcOlTcOsc6MREqSa8qxjfEL0mZJ3sxxl8eMl4R+W8wlqESxOtehWYngwzrWSJO2CqLTKeZlqaC2vmLj/OoBk7FPa7lPspAd6wLh6NYMzqFNOXBIXojQKdhOzv7HcwQ7Fu7QUOyGeE+l/xuc76EjyS0oqznaKSk7HvXnJXvbTdJ6iTXWuB2L8VJJ57WM/hkock1ZzyXl/jTsvaZFk5YqoqsRjfsWtS/tUz6tiivmwKH2d7fZfUt0fHFbHq8qFLtrUyy8ugOZBr9gpjbGbSZML/XxjxR2rKCV4m7Lsbk8P5YM35WIUxd3yF8fks5nmFQTb9R+6sv0ZwExf4VV2hBvV/A2XIJ9Q9xWZNdHDM4XuFMxv/rzP2bu91zUekCjEqFWxyhtcO+FTC4lKG0wez5ZXUSMo5M50bzB6xkKTwSYKjd0X84wcwnBhyHujkP43Cb/mx2S6ZJ33rtAsxpRtESHNV4psSKkktwQtpe/7mLaMn2bLBmi0yn5V/tYbXkMBz9ckKNd1yW7U8cZQNqSVKjm3JDqExsrlaN25aPjAYgFpQuDs9LTKS2RbqhcUwaygTgDzfS7Ftgy1UzaJb31JkuzPcrTEYVrCCoJ8awhnSoYvxQR7BnU84DhSYie1ilqBdorCB+7OPdC7AMX/04ApZA0vD2xDoE4NYxX8gvn7mO5BaUNzlByKNTIIp0qcPYdkpbh8KhGfQ3p9SmoNCKSixHFGwM4NUG1U9JzEc75AdnQJRp7uIcW/WFAltr8rS/+SOxE+zbBpoOZTZhf7ZBuVdC5VJL6wMVempAWFjuPZqi/tU9eL2h/ZOHsOqgP6rgDRbCv6H84zdTv+wwetPG3HHSmSNsFbu/PZC5q06fwDcWzKtVnisnpjLSm0LHCfrGHv2ML9881+Ls2Xj2hUZ+gE0X3gmLqXekFF4uJgCJXJmAU2YkEM3Cx9x10BrWLHXQO7o0udqRoNsaMlg37h3WCXUUyVVK53GXjoEV1zSJr54yXS9wbXVCS1bD93gLT79g03/PY2G+R74TYVsFkQeQ77T/x0BekoZYf+qhU438Usv7+EulmBTKNHlmfXTX116jn9pca5//7WqpUqEsj+l4VjKHYC/COLNynVX5QOU3/1yPKvYDDXpXa90N6L+ToDMJ7HpPFEm95TP60ip1IZqexoHU/5unf9LBHiuFFsSqdW9rnEbOYvot7ZUivI/+mefWQceLSnhnQHbeoPbFwRobxtQQzsZlb7bC320QpoFQEewq145I2XIqTCQxt4sUM59BGTYQtVlweQOLQH1So/ChgfK7AHorPc7xcCnb7tDwuHWlMNcc59KhsutS2CnZ+I2N0ucDZcxmcBT2y8bqKpVe26fzuEkdbC6iaQVtgPmjgllAEMjEeLykZ1JQSNK33NCq3mbwyoVaJManDZEZU+FnNUNkyjFYVRVBAaRGsO/xh5zpFUFK93KPyckz6rQXyECpbIj71txzCD31GvzzEuVkjmSqJj0K8bQdrEBD2xGyuSkhzHxtwRg7RiZRakBLfb/JPe69hzmQor6Q4crA2fQZ3A8rVnHg1h26ABZi1Cp2oClMFSWZ/YgXLqyWzNw7YfjBL63SHyf0pOlcAJd5iY0F9cUi23aLyzJYw7oZo5NKmxOI5RzbRnOTPlj9qEh4ZurNVVCY2uWaY0OlV8LqaaDGn71iE25pxXWxxWccHA9OLQ3qb09iRIlrKyUcB09cPiFJH3AdP2nhDhV6X8GUrVozvtjC+ZKS2PrTJaopJ1mT+xT22623U0Ga0rFEF2M98Shsm35wjv5hhLIukrSh2Q8xChr/uUvgiLs5rBZVnNuGXj+iPAqxbnw1nXP276WWfq/W5qNxA7C/xQUDhG5yRwrhGEC8nS8bvTFMasZs4D0N613KcdsxkqWByKWHu/AHJ2CVvSH/jpTce4fQVT/+mR+OM3AWtvvQlHt5ZxnYLnJmIUS/AfyQBIAdbTfQfN+lsN2h/rBlcTemfh7mZPk7Povv+DP4z8UmG9ZjRqYL4jRFZxXD55Dbh0oil1SOCyz1KF+zVMfF6jfofB1TeCxidKPHnx2SzGcYxuD0tfSe3RIUy8PCfeRhLNoOtbxgcL6fSiMlmRNZgtGG8UvB8axq3ZwgODeGu9N1KVypAt6sJdiySqVJIshFMTuSUr/cp3upjCsV44uH+oIaz53Lma2tcfm2Nozcz0pMxzaUBF199Rjxd4pwZYsWa4V6Vo+8tkDYN8UJOWlfYfZvSM4yXS0I/EU1hCXpokzYMozM5+jcPWbmyS+2plmr0xBhnCMEzl2E3FPZdO+bFi+sYwye+1D/d7K2ujbIN5XSGOv547anF6H4Lu2/RfbGk9sTi4MdzqKmEwd0p7BMjAWb68hybSs5rC+u0vrjL+EyGv+GiEo3XMwR7Cp2DWY0wGqrPNfPvJsRTimB+hI6lLdG/PcXKf2PDSwP8mUhkRhcT3G2XbDbDqmeoSs5w4pNN55/IMJrfCRjFHuPHDayRJlgdktWExDs6UQomK4fpDxWt+4nwAKsQ7ih2HkuyWeNkDyuVE4BOFerkmPFSidc6jqn0jBy9geRsTLEas3x9G2sk+aZaGdKOL4/pp12ftmr7nOx/n4vNzcjkGl3PxCA9Pv64kqojXiiY+22RJMTzOeG6jfNxFeOWWLsuh90atY88nEZC7eoRd3YXJAFIQ3ezgTNSvPnWXbKaobYyQD2oyMQutrAyhNO17TC4kmKNLJKGov2ug3N6yDDyufGlB9SeS/yg+8yn+KiB09NU/qhCMZVx5+Eyy80eu7fmyAtNMZ9gfVjDP9D03khJ61Bb0/BhHeWUUBHSRLBnsI8clDIYy5CcSkhWUoavRVi1jOQoEEQ4EO4pmnfFgO9suXS+FtM7D4MbCc5Q4R9K7JtOFdEF+RiLMfkXBpw/t038vEYSu0LR7XtMXpuQtXPuPFjmzocnhcRRysZ3FIUiGv64Tl4tcBoJkxMZ6VTB7NsWo5MFlPLzAIyR31kRlHgdTbgy5OUXnhKlDpsfzxNPAZkmPwpIGyKutvdclFuQH/o86UzhbrvkvtA+jAbjGZyBZm6uh7fmgZJA7fxLfYwl4dDWUOP1Jav0wtIeqy9vYX1YowgMtUcWyUyBckre/39do/PDeaxKRtoqMV7J6CtjGVa8PqT6/ZDKlmzUg5OSuJWs1Qj2Jbi5tGD975Rws06W2mj7eEgzm0Oq0VYBfYficVU0j2cjnFZMdStnvF/BzCUUzZz4SZ1wT3pqlQ3Jd8iaJcMTirW/o0l/uU+ylDK8EaPbCXpg09upM17NKX0DCvIjobMAlJshwa4Wi1yhaDQmVKoxmx8uUs6kJFMle3sNpld6xCfTf9ul9xOvv049t8/FsbRaiXB7EE9s3IlkRtbv2SKHKMA4Jfsv21QvdsgmHoUnae7uoVim1FpA4clF1tlq4u3ZDM/l1B7aWIkmmoWP9paoPtfEgyZZw5BsN3B6FpP58hOdnLvjkM7mZK+NKbQhOgjRsebdwxD7rCj1S1/8e85A07sidNV8KeHp/hRnX17nweNFKtMTxiu20EbGNvFCjtE2yWKGGjjiUjiTwvUYs1bDXvfJT8Qy5CjBjFzC5xZ5CEmmoFowuJJ+cuzI6yXWjjS+r53a5NGDM0TzBkqFM4LMlQlhOraJc8XjWKqAWjViuNukCEv8D0NGZzN0ZOHvabKGAa/AelChY4VkcwWmIn06s17BsgyN8x1656cIlkZkj+oiEj3bo7fehAsFwZaN14XsRw3ePx9AqlEzKXHFFqz26pg0CZm5eEinX8F3CqKJTXKvQVEx2CMhYeShwShJvhpMfNw+uH3on1dMOiHuyoRi4FEEhv5ZRdYsuPdoSfysV+XY3avWadyzSZsWo5OGbDrla6cfMz7h8qP3zlNsh1A1BO/XQEu4jrENo2VNMlVgRRp3IFep11HkqxnRogVDR0Cn+4rB+QJVKLKeD5WCxYt7lEaxdWeO3BE6tCrg6uo2W8MGh7pOVDjoVDFZLtGJgnqG89QiP7IZR3UqK0PiyKX6w5DxsiHctEnaIjgP9g2lrRmeLjCdADWbEC8Y1K0Af9uh5wpevbaryIcCQMgKhyNVw9n7bKL9Pi/Wqk+zPheV22giSUN6ZDHzYU5pgTuUo1Z+KgZLKpvRvRbZ2MHr8Unpq1PFubeeEe4arMcBwZakJtl9i6wO+Td6Ig95r0XagKxdYkWKyppNXi1BQfu25DcUvlAu0p0Kea6pLwy58NI6/paDfWaEKhQoULNC/VCZonK5C32HrOPz6OMVvF3xO6pckddLnJ7GacakJxKcaopxSux6irPvkD+uUUynmNMTVuc6zPyxgxXmtE52mSyXhK8eYoISZ99h/ts2yUwhFVmhyBs5RVDyvNdiciaFs2OKqYz2r25hdnzJ3NyzoefiPgoIdzXjOy2Zpg4FR+7u2zgDqbrsscLsyUbC+TH+4hgVW5ycP8IoCHY1SSaexcnAF4eAaxjfaaFSBYUIYXsvS1iLfSgWNfoO3r4tqViphTNSdIfim4z2w08+p2NFcGgYvz6h+kIHu5mK7StxGJ4q6X4jxpyIcPdsivWKqPCdEn1hhL9jUXnisPRthf0opLdbk5BnDWndkC8mhE9cfvAH17jzLy5KZTEjboisbkhrMF5SmGqBzsCaaGav7dG5XtK7ZAj2jWDiJ5rmbVtcM69HAg5opyi/wDlweL4xzfZhk7KZYyoFWz8HKlXcvHuCw40mbiUVO1cOpVtKktpE0sCMBbVnGvNegyBM6L+QYY8VXl8oKbXHFpN5GVr4BxYzK11MamFt+jhvdohPJlgdBxVZDM/luH2orxmp8ka2HPc/i/XX6Fj6uajcHC8j++IAs1Vl41cNelRSBIp0KUEfeHhDRX42Ih+4WGHO4LzG37EJdhX9axl3b55AXZfegzMCK1IkbYO/D/HNJslqysrSEbsfzNO4a6EKQzwFbkdoGUdfSFFDm8qmJq1r0rmcrOdT1izuHVRR7RKd2jgTBWic3YDgwKAzzWAmwBqLp9CeKMzlIf6dGrwwJN2oUNpQ7IVU1zVJy8U7PyLbrGAXYM6MCW9WKV2PvbKC0wDrScAkD6mMYDSaotoXj2Dc1qisJGuIh7Gyo0gair5pEO5YGMtFzRdsfLSIc3JE3PNpzg4Z3W8RL2WoVMswI+OTF7q6MCL8bpVoVno/1Wea4fUEtRVS5grCkv1vLlMuleQVRf64Tm1LkbY84rkcXcnInBKnkuLcrKILGF/OufTGGve25klVgCoUhW+YumXoBD7q0gj9cU0cDZciUiP0kHwmZZi7FIlFenOK/EJK62OLwRdl2j12HHEpNEuChRFJ4lAe+MRHAU5V7Fs7v5miFJyeO+LZzhTpJKCyrVDrPsmUYKbc9hh9v0n13YDe5ZzqM1uovmOFs+9Q+JC3pQdqvAImDt0rBmtxTBk7DEuXop0R3AtQBqJqju3lZHVxxuhKSvXDgMKH0aUUy8+xdIl9u0pkfMK+YnI2JajHsFNHFYqlbx7y+D+eIm0I+igwCuWVVHYMlZ2CeMomem2M6+WkIw+Vw8HzFm7HEnlTV0ghwa4QinUBoxVDUSvAKaned4lnPoMd53N05Pw063NRuRWlJt6tEO5oKNQn4/srp7YJtwT5E74f0rhrYz+WbNNkpqB/OcepplixNFTrl46o/twekxcj4YPNCHKGVLN1b47aM2nYDk9Lee11IH9pBInGjoTRllekt2H3LfwgJXjmoNoJzoOA5FSCMiJ7iKYV4xM5fpDiDBVeRxEvZeiPa5S2CImZTUSztTAWYOK+wvqwhplOOfnGBlnkYMciHjYKhuclIKf+VHpBkn0q+OnxksFMp5QWhG8d0rlqRFu2a1HeGJI2S/xdCzsC550a9TsOvZ06xjZUnh4fSU5OiC/EwsFzwXVzepdLktmC6JQkaQG0bykKX4KhxysFVqRwu1B9pigC5Ng20RijqD5w5UbgClrIxBb3tuZxb4UEB3J81ynsfVnyGNJNIdU6E6h8EEieRVdReSBTW7+aUrqCF8oqCvd+wHhVJsrVmmj5JnsV2PZRUwlWLePym08xb/QxPZdibLN2ZxFlGbwOjF6OyGqyeduHDsE/bZJPZ/ReyFGlYjIvWslkRpLArBf6OAc228+m8TddEUr7JWa9gkk0RSvjF67ewXm1Sx4aqrc8an8UUl8cSmX3+xXm3h1S2yjRfZt84JLHDrw0wJpo4ssRJ/6pIn1epbShumax8avTZAvH8Y4jh8nIw5SKtKbYfcMiuhKRjVySx3VMbKELsEcWWb2kqJSojkN1XeMMDdM3DUvfyyhnJY83fOwyOpWjis/oYv1rVLl9Lja3MhNMdPvndo4j2krskcWj75/EGR/TJqYM/Us57rUeplIQblo4fYtiL6D6XEiz/WHI3l7zE5mAMwJvcUzzY8Hv5L7081QJk9WcwYWcKws7XLq4SdYoyKqGC9fX0SOLcFcRP62J0HbskMwVWG6BOjWmdrnDW79+k/oDm+RZjeqbB+Q3hiinJKsbGk+kejQdFz22yBIb+5cOSeuS3dD6vsfw/7GMdkqG12OCDRt3KPae2fegspOS9HyGVxPSuqLxxT2cCwMYOBSNnM7DNkWlJFlNSKZK0q0KpWdwXumSrqZkFUjacjR3e5rJ5ZjaE4tGLeKlkxtwUvA5RSEiVLsdEzx3Sa+PCB54jE6IJQsFwbbF7PvSl3SHhsligb8wpn3xCH3gUtkqsQcW/o0ORW5x4fwW5xb2KW8MKV/vy0WlwN9yiM4mlKEAQ0/9jSckUwanLwlW6Usj8ZPerlFeHTJ9ssP0L26RBwa3YzH/x5pBNyR9ZUR7pYfb19RrEcXI5tb7p3CsAt1OUF7B1EcK62lA0gJrU+QThSc6vMGvjwifuKhc0TrRxesKCNLYhvRkzHKzjzNUBNMTkpZQQuyBxdTN45uEhm9/7yUCNyMPDaMTBdGMYrBbQ2dw+LWE9V+qcXhNoXJFsGUz/UcuUSdg/oV9mo0x22/ZOEON14HxcsnofEalEVMuxIQzYyq1GDW0sY4Dq0xPpvSFZ3A6NtFcKYCCSiFH4+mULITRKhy9qHj+KzbqyKV5x6ayY5h+z/pMemU/E/H+FZblltKj2G9KT2qkcc8MyJZTepdK6UlosBsp6rstWj9yiK/JGNzpa8arBu9IAkz8aoL9zCevGAoPuF2j92oiTeEQ2aQmShLjmyn39ua5d38Zuy8vgINxFT0Xk3xhiFqMWX1zE3twbI/aDDBPK+Sl5lt3LmFsCHY0R90qzWqEPnJw+grn7+7hvdjF+CXO8hhTKgY3p2g9LAX7c9lwdEXBoYdJNc4Iqlsl6ULG0W9OWPu7ghci1+QV2N1oE/xuHXuoCdcc3L5GT4SeUdQLQQoZGPZCKnc9krlCUOOWIW2U2Nsegws5h5tNPvrwDNnEEdLIXoXw+hFZzyOeKwjfruIfHadINTKMDdFSwc6XZbPc/1pK46GF/nEd1xI4496X5KrprzcoI5uHd5d53mkRHwbk9+oCv6wY3B5Yhy4qtmguDPj445NkywnJorgmsr6H1bfxD0DdrXGw0+D5/XnRCwaGvS8alDZobeg9buMdQfxBW+LzHENeaspcY2KLw9cL0gXJwtApJGdi0DB3dY946JG/NMIeClm3tAVZhVsS3PfZ/oNVVAlRJ8A/0IxXS9p3Ybgq/Tm/llDOJqzWu1iJgnpO2pTnoLTAdnOcG130WXFf5KFhcBpUrNneb9IfhmStgtqrB4xfn/D6aw8ENPp2A73jMzmocH1+ExMW9C8XTL+yB40MSkGtZ3MpVqTIv99GTSzqDy38MCVaytGZeG8vvfQce6LEmhgqOi/8GVz1p12qNJ/q7fOwPhebG32L4In7ScVVew7+N+uYyGLx/AFexyJv5cz8js9kQUJayiMXpkU6UbnUpXTBGWjSZ1Vqz6XR63UMKgc1cCje7GNeHrBw5gCvC15XU/RdAi9l/uQRbl9RNnK699tU3w7Jtiq4t0KGiYfRggMqZuUIOtypoYY2wzM5Xt9QZpr9gzqUiuzKhM4788S3m1QfOmSbovp3BgpnVBwLS+WCVwU41ZTJkiFuKrxqQjpxcKopM/N95pa6RCdSdJDjTAyVy12mvrpDvJBTW9Of3CHtLQ8TlLjrLvGUIdiySJuSpxruaPJ5oYvoiZaBhIH/4KvvoOsZkw+naH9kEWxZNH9tm8FZMG/2CT4MqD2Fxn2L9seCAnJ2BYfeeFqw/9Ec44GIV72Owh5qsEuqaxaT/nEfUonMx7iG0Smpgoxf0NuvSZyhl2N3bawjRygezZzRCUPhHrtBqjnWfERRLbBaCSa2iPse85f26V8pSFsl1UdSTYX/rEGrNUKPjxOnujZ2x0YVCjO20Zli+9k0zq5DFjm4FwY4+w5puxBpRisSKogFc+8lkCuMDUU7I27JCzOvGLLMwn3u8d4HZz95+RpLiCCla6j+UYXJkwZp7MBMIgHUFZG1qCMX71aIv2fTuzWN2fO5+99eoqgVJFMGt6vw9mx+9M0XmH5bIJbbOy28pz7KLwTm6pZkzRKvYzDVnOitEdF+SO2JTOO/dvUe24M6tTXkNe3IoOJPJ78/1fqZzu0nX6UtL5wgTEUtPqPoXTTUFob0vzMv1IZ6Sv+0prKlGJwCPZUSVFKsI4fyO210ClmrpGgUktlZKrqvZsQLBSYoqIcx0cBne6eFlR4nKe3apG9PMf7DOZK2oTU9xNjQv1BgzUdECwVFKYw2YxucLZdoqQBP9GT+vk3naol15OA/9jHzMf5HIbVnIkRGgX+gJQcghue/LmZxe6Spnu6jCkX4gyrV54rO9YKk5+NuuUz/dkhRKixdMj0/wH0SsP8aNMOIKHPwdwUVXrQz7K5NNp2jgxwrUp9gwo2W49zoRAHacOfhMmjkcRnFv/qtNykTC5Rh+NUJ0aWY55vTNO9DNHFJXhmRB4p4Wvh2RXjsqHhzws6XIbjYo1KPRWybCBHD3XQZns+wujbN+wpnoKg/htm3pW9lj+XiValszOVmiD1RFI1cLEyFIp/JKFZinBtd2tNDXC9HhznurRCnnoJRbK9NQzXDXRozOpthvIJ4WtE5rMFsQu19n+DMAH1yTLhrUGGB2xNXQhGIJ3myXSWvlqiWTGXTxMbq2dgR9M64OAMLnUDlgdBf0qsTvCMtYUY2VFcHcHIC2qDmYty+wjjSzHf6mvnfdSXn4XREOZXhDIXc23haYsWSb2qPFVkFsEQGA8iNr1oy/tUh7pcP+dUXbpM2S0xs0f5Q47g57pFF0lK0pkbYH1VxBhbVzRI9tPjOR5cZ3mszXhF71+iViP71hPHyZ1W5fbq3z8P6XGxuqgSvqzDvNbBH8kuxx4rofhOjIVrKse5V8I8M4yXBzXzlzCPGhyFFrcBKDEnb4M5MJCZwonCCjPrHLsGWhfIKJr8/R/Wei+WWdF7OwTEUvmF8SmL83J5iMApo3lPUVgYUuUZPpfTuSgZo2cx4+av3UYlCTSzUUkRxccTi+QOKaklWMQS3A5Km4egl6e+UNp+Y81HQWuzL3X8qh++1qD+B0cmSwZmS+ZNH+K2YrGY4vKaYvD9N73vzLNX6XP3GA375ix/ybH2GydvTzL25TfVUH3KNc3qIijSm6zJZzak900zdMuQB5Cfi40g/w4sX1ilDIdV6OzbF9SFWzxazdWqBgf/oxrtEM4oysfD9jMmCHGsHl0WB33h9nyLTzL2tGK01iJ7UKf2SuG0YnixJ53JOn9nDPTEiq8jwwR0bjCXVYlYzZKdijCVB025fpreUCq0NVj1FjSzKxKJ4t0WcOowPQl4//Yzi+hDHzWl9YBNu2DjrHo1/UcEaWGAZRjciKOXnoMC1c9KOL3jxjkMewNRXdzCuwX7i4+9ahMsjGUI0c1gLQcHgasrgNPgH4l5I2gaeh9SqEfFsAan06EabdVgLCe77BEEqWRmWofOC6PN2flE0jUEl5dTyAWnDoDNF57JmfCpDXxlgXxqgSqjfdnGHEF+OUIVCZYp4p0LvSZs/+PYN7LGiOjfC75dcmN0nbRekLcNo7DM5lVH4ht7fHlEGJbVHNurEmOy4WuTQw95z8Y4+o4v1r1Hl9rmQgoCMzUm1dCNLRVEKRyyrgNOOiS2P0rGlqRlb7MU13EZCFtuUjk1WLzA9n3DNkST2sYvngfeFI5xvTRHulxy+qPhTa1zzA5e0BnlVC0vuZA4DVzIGSk2ZWVTvu+QB1J4bDt6weOfRadzlMc6PaqTdgKxd0vdyKms2Wc0QvzihGDsopyQfuqTTBd6BZEDMvlfQy2zsoSKzNZN5kS+cemmTYeKxu94WvdRASQWayZ395qMVrJ6NmUskDLk7xfO1GVSiqWxblI6DrptPjqj9yzlez6KyrUhO5LCc06pNuPlkBT22KG2Dv6+Zag1YT2yK3GLqjzyStuIfH72Fbkt60mTBIdxVFF8e4FgFg2HA/pMpjF9ix4bqM4towRA8sylcIQkHrYinT+egVOQLBmui2Pl6AXaJs+NixYpiw6dypBiek+mkdyT31yy1KfoOqpFRvS1j2yhxwDbc+u1L+DHE0zBeNFIhJYqjqzD3bsnB38oot0IsA+W04cRvPuX2zRMi4J6TwUi0XLDxZIbmXUtukJWSyh83MOdzatNj9Mct4ilFEWry2Qy95QpnMEbgqTfb6NMxZa4wqQzAjA1Jy9D4vQbqxRKjDOG2Jm0ZskDQ8ElUZy2swlKCc99ncjrD3bfx5oUK3RgY0a/VJbYxq5dYCxOcxxW8rsJKIK1DUWh2/2ZCMmyIyb4O8XEAjj1SeN+tk52Qm1qzFnFQ9UFpvEONsSA8/GzKqc/LsODTrM9F5QZQb4+xahleKwYD9soYty/pSfbtKnbPpvXAUFuDlT8w3N+ek/i+hoz6/QMxe+sMvGce9qFQK+J3p4i/OGT3C2LtKUcOS6tH9F+LJTx310LlgGWEanvRED+t0ZoeMjqXMXWnoLKbY/cs7B0XdbvG6JzYxIxlSGJHJpNjhXM/JHjmYCbW8fe2SafkOHd0VROv1yhOx4QbFnYktp7HDxfY329gDS1MLMlf1DIaZ7rkFYMdHpOBJzb9j6aF04/8f1UhaVX1p1DahtIxqEIR/Mc7xFOG5FDIG0e9Ko2PXKZuKqkya7Dzw0XcJwGen3H4Rs7wTC5SHMUnFqfJomG8X2H4sIVSyMT1lsPW1yFtSBrT+IWY1hd3sSsZwTdr1O864JaUjqH95i7hUwfddcjagjNCw2RBfJVFrSDcNcx/T7P438lx+09DjNO6wfMyvFpCHoD5epfZN3ZIFzKy6Qwrhnw2pbQVjWr8SXiK6jrceryMM9RYMVSvHVGGBcYyOH2LpAV5o8Rankgr4pbFsBuSfnlA4RtmVrtQKJIWEhzTVTQeSs6CXvdRHZezVzepLA8pFyVQeXhSMhPskSVm/HZO+NQhrxoq2zJ0sLc94tkS58jG7StG91p4HU33Rk55fozOxCM8df6IrOMLMulKijswVDcN6oM6jlNQ/s4U0ay0HZxDm/ptRzzK6ngibMPBfh2nmRDsafKagEh33/wMLlIDgpn+FG+fg/W52NxKzzDYqcGuJz7FVkIy8EjPROhM4b92ROkaOpdFztE/aePeDQkfeownnqTOT8T7qYxomoqK4GSikxnpfsivvfU+0ZxB5YrOKMREFsaGvGYYnRXRpv3El77VdIalDdXpMds/BxtftynCkrxSwtUhAMnFCHtgUewE5LMp0aLw2aLVDPs4VTxezlD1lGQ1wb3Wo/RKtC7JqhLHN/9ugndgoXqOmPsHon5HQa9boXlPkY8FAe5vOwIfnDboMJfMzKoYqsfL0tSe/RHYfc32Bwu070hYTfhxAGsh/cs540XF9HKPZFoyR7NzEXmuUZkWA38hz9ukF1D6Bp2B0xNXQZkr8i/1Sb40FF9pTcKkVcdle2OKPLbpvJ4xOJ+jhjY6Fapy0hYDu9OzqG5onL6Y2k1Q4hzadL4W07miOLxiY0/EehXNykU63xiSRg7xakppFBtPZ6BQWEEhR7iJzWhJ033Qxju08I4k7d7bckhbBaUHnf061ScSSpzNyQRY1VPSjk+4DeMlcLdc1Pt1/PN9tDKoWFN97ZBoRfSHo1VF9UT/E0jn4+0ZJiOPRn3CwvVdsrkMlcP8OyWte+BvO0xWctp3DJMFwxvnnuJf6nHp+nOMQgjSuxIRaXds1GNJKaOWc9SpcuHilghwU03nCuy/UaAKyNYr9C5J8liyLErsrC7fr3c1g8YxdTqyqH03xIohm8lEu/lZZSj8rOf2Ey6jRLNWKQm/V8W6XxFo48ClqBYM77Ypw4K8UTJ+fUL/Sk56KZI+xroQN0pbmuVpXfx89YcWw4ct/GaMNdZ883dfwUoUOhLBMEaRV0r06RFOI0HFWsTDcznBA4/ku9O0/qsqVDOKZo6/b1HZsFAf16BU2Gs+OgW3r5meGeIvjMkXU5o3JUuhebaDiqXn8asv3OZ0q8PVK+uyGdYMGNj4BReMomxk6KUJXkeRNQrsTQ/bLei8Jgglt69whtL/KR2DteEzXikpPTnC5xXD1JkOg5OavCZVU+eKErpsTew7KpHjSadbwe1YcvEfuVj3q3JHTmWiVntkYQU5M+8KWDMP5GeaiU1xuyE3Zlc2Pr8ZY2yDmlgsLXYg0RAUqKmExZd3qG4orBSCfYN9dogzMBgNupXi7tpk8xlBmFKejo7V+CXhjvok83Pt3gL193woFUksFaGKLYrIQm/JpLZ0xRoWr6biQR3Iv1eVnPoTqN53KVyYet+CRNBBwe1AKh1f0bh+SDpVoAyYd5rofzSNyhSenYMrWbppq6R4t4V/pMS/agtws7tXZ2NtBu0V5BXDzt9K6VwRkbfTs0j/TpesVfDR719ieFTh7u1V3LMDqisDRi9HvP7Fe2JLq8lNOXjoEdwJ2PkXJ2h+7OB0LdTqRB5HBuGWJtw6nlwHGW5ffveqVCi/gJGNVU/RqWZ4EvIQ/HWXqY8U9TO9n/oy/ZnO7a+4jBZibDwtTPrSgvp9Sy5K21C/6+DNTvBuhwBoS7JFs3pBWc+ZXEoYnc7Jq8fcexecsaIaJOT1gmQpw36xh9dRLJw9QPkFlXUL2y4x6yHObIR1o0fliUPalN/O4RUbb83HqmSo632CfUNWMfg7NubcWO7kGo4Oa1T8lPoHQq/IA0P//pQ0ylPFN791gztbC9z58CSmLelTeUV+hn21D5FF45sVkbP0LbKpnKzroRKLfCmRBvbJQnhjx8b5hUv7lCsxXldjmhmdx22pphyDvTLGHivaDxK8riK7PMGEBdHpBPdJQB4anHYsvLyuZMb6+zajFcXgYo7jFIyWFXMv7GOPFUt/nBGui2c36frYfYuZG3vEPZ+LVzagkbF3c05e/YmF/dxn8+N5+q/FFK4kpVd+t4aVSZXuehmcH6OGthBRjKJ3AfpnNL3rmYAMUoUqFMPTJdZQSCb2kUO4rXEqmYTkjDWT1Zy0aWh85OJ35XcfzRoazQn+b+7R+sYO8bmYozcyqvMjooWcyUqBe2gRzxji78xQnR9hTyBtSpC2FSu635tHTSwGL8ef2PkmiwXO/AT9sII10aiJBV6B/dyXmEBlKBdjilpB6cDgYUvoLhci/A0X78BiclAh/3ELU2h+8PF5otUMa6Ik2+FMSto0DF5KiGYNnJyQjVz8TZHgpA3grZ48P49CxmfltXThxXVMqTBeKT3fmYR8MWWyKJPZo2uG3u5PT+L91EfSnx1L/2w5fsbsj0vyj5ry4u/JnTv9yoDVi3vC9yqgeFwleWEiL/aeYK/RgD7OCziyJNB5NWOyVBLcOGIw9kW6MbAZ7VQpXdi9O4tJNKMzOeWHDbmLb4ZktxqMT2fk7ZzRizHR2YTaqwcUEyGzdq8cY4+GkhUa7iiq64a5uR5HT1tEswY7MrgDReueeDi9rpKeyEZAuCUiU6+jad0zOH3FeL8ivZq6Il6W2Ln6fQfvwIZKjhdkeK92MLUc1Uqxh5Lhuf14hjdPP8G/3gGQBKX5TJr3P64xOZeyf8NneCXl0tIubj0R0a9rKJo52cAjq5WEByUql8yK0pUNo3hcxUphZ6+JzhT7/7OIIjA4Q0V7sY9ZiWj5EW49oeokuGGKf76PPbBwehb5qiQ2mWO4ZtouSeuKpKlIljOSzSrFRoip5ox6Ac3v+BKJGBrIFPmVMemJBGt+QvW5xihQhcLfV0RzJUGQUj/fxWiozw+xJopo1rD/2vGEGpHNbO+02Dpoom1D8NwletygMj/GGmvCbfl58Stj0tQm/uLwEzpM4RviyxHGKVFdl6VXtmEpYvH8AY4j5vrSM5h6hu47WLGiMjVhujlCb/vYAwt3cBxInWnKkUNWK5l5cwd/V+QojdYYFeSoSNww49WSty49xh4pwodiRctGLirVJCcldzXYg/ROA+NKe0WPrE+IKLrr4O4K0bjy4wB95IAyFIFAMVVsfSbX6s8qt59wZanN0d+eEC/k5IE5DooxRIchm7fmcTuayZwcaay1gNr5LipX1NfA27eo3vXwd23yE/EnoEB7pOju1nHfr0IJztKYYMfGPxLtmTWS0Fz75S5WpAh2Ne61Hnps4dQS6B/7MX9rmqXft0gPQopKCTMJWRXsfZfhjZij13L6358DC4pTsYAO9wxpXbhkOpPH4x/JhRmu2/gHhjxQhPsGnJJiLmFwMQdb+nHDk9LfczZcyodVJrELmcYPUwxQTKeoZkpeytFb2SXjgS/C1SNBYH/hwhPGL0U4ew53PjxJ2vEpGznGAivMpYc31AxX5bhqIovgUu+TMf7oaiK5AefHJA/rJNMF8UxJ70mbYmLzvNvCrFV47/1z8ty836SollSfg383IJovqS8OmZxL5Pk9KEkboB3pHxVhCZmmNTVC/eYR2ekIt6+wh5aECHcc8v2AwaWMslrgdDR5VcTXg+0ag1HA4rVd4jtNoWyciWAmOUYXwXangX3g4j4MKEY23isdjG0objaoPleMVwRAMNUckXZ8Kt+uYsWQtBTNB9L3bH7sYEWKZ4/nsKyStLAoP2jgHxn8HQvddVAFRKdSsrt1Du/MkNcKirmE0jGk8xnVjz1qD0Ubt7E+jU4gnS7obdWx9jx0DvEU+Puatx+eIT4XEy2JD9fu2rgzE5wNl2Q2p/yFLoAME0aiifMOrONYQ022mpC2CvJAiDXmOPC7CM1n1wf7ayQF+VxsbhjI1yv42zbhrsbvSB9h/sQRZi4hbZdiw5lLKVwY3W9BVfIlCxfiaUNWNcxP98krJZfOb2Glkl1pxeBtO+hbNaJTKYPTJYUvjfPGhQ7D3Rq1Z4KjHm3WMa2M/CjABAWWV9C9DHuvaFQjxdgl/t0A70h0cSbT4BiSixGVNYuyJ9KRwRk5GhnPMDpZkNXkmB3sa5KW5Dp0rhr658Dddgju+1hjjV9NxTZVEVGrO1SocyNBROeKOHJ5+UsPUEMb2yn40TsXmH3PiIf10JUja61gfCrj+bCF0lCsxlSfa6yxpvVjh6JSUgwcrAiBORYweDkhmIqYPGji9jT6zAj/iUfZ8dAPK+TNAtwSK5UEdhVZRE/q5GGJmkqorFmSzrQt4lLz8oDGQy3E322XrFUwXNXE52IcL+f8jXVUNac2P6T3vMngoynarbEcy4dCEXGPg2/svo3Tkb6jyiG/MkInGu9WyG6nTjol/a4i15iey+wHEoqTDl2qzxRpU6i1g7UmrbuKeC4nacPM9T3GZzIOP54lXLeJphWVLQkL6n4hxX0cMDxVki8lOF2LLHIYRR4v/NIDhl+KiM8l8tKdS2h+4OL2FeG5Hs7AYnGuh3utB6VieDEjbR67UY5sJmdTTp7Zw2qmFEFJEZQS4N0xzH7Lwdnw8OYmIjZOwfqwRjpT0LppMRr5OEPpT49OFix8X6rP8kkVd2CY/z2XYNtmcjqj/lT4hEmrxF0aE+x9Npf6zyq3n3BZE5EoxIs5k2sR0c/LRLL/gzn8uwH1x4qimVO95aFXxlinRizMd3FGmuBAydHv1JDD9+bQiebJ/jTl1SHeoSatI9SLJemJqBLMxRHYJb1HbdxDKdeTlmHp21B/30M1UtpzA8pDDzsSMafa9XCbCfFsSfxzQ+wYOS47BaYUwaqx5f+QrQg9xBppzl3e4sWvPqT+5b1P6AyDqylqSrDS+amYpC3HjGRXQodr91zsj6qYN/qkByHOGFq3pJf17t0zYEGrNsHMJvRPa8EKhSWqnuJ2LVSm2XkwC9s+YSWRCWahGC9Dc7UHfsHpX3kquaFVcJ97eE5O45FIHtKDkHiuoPZEcjAB5pe6FEsxKIPbFQ2iv2+h9jzGKyVOzyKZKckrhnStxuALEZVQktZ1JOb4ym2ffL3CRq+JGdnEkYs1lVDacLjZJJ47RnRr6WVKs70gm5WgbnW9j1Jw9cYa5Y0h2cAFLfKg8K6PCQvSukW4o3AqGaUnvlPzoIpREE0rpld7RKdSDvtVag9k+JO0DfFcQVZRDM5KiZNMFXinhmjL4B8qnA0X/eM6N797nnxi0/6By9kXN1EKWg9TRmdysg9bIqidBPAnLVSiBTU1Fs3i8rdSwicuO906plDoqUT6lNWcrK4YnNLkFUOjEqFzRTqfkUyLMLf7WkY5cvCPJO4y2LHon9bU1jSla+hdhJ1fkOhIFWu610qK0xFoQ9z1cXufwY5jgMJ8urfPwfpcbG7GAkrwd6QiyXPhexkN7gB6r6e4e45ga25X0bdq7H80Jy/YWYEJhn9QE+Cibci3QspCY73eJa8avH2LypqNsgzOiTHVMCZ84lJ/Ir2X3kUol2I2f9EQT4N3LyD93jQYRdIuSGdzScX6uCqJ912fwaWMVy+sAeA98XGGED5zWPyORttigSoWEpQy3NpZZHezjQpzvPMD/A0Xve2TV0vqbwc4I4VzZoi/ZxHPFsRTRkgZ9+tQyUUT5goaCLuEasb+YZ1y5HwCz1RhzsJMn3Q6xx5pdA5FMyeaeNQXhoQ7inQ2Z3ivjX3gcuvpEiqXo42VwPBxk6O3UsxyhD3QLJ49YPBCSjwjEXZHH82it31MUJJOlahC8O9uV+MMJN/C3xNxa1EpKEcOg92aSGtqOfFChteRimy8UUMnWgTYu4KPt4YWeCWNJyVuV5GspFgx+Hs27pbD7Ne2yB7Vub68yc17J3CdHKdrU5mecPSyOERINeN5TVqDbOQyeXWCNREIqZ6Rm8jw/Wmsnk3luxUKD9JLE5yTI7BgeD7H62i8px7GER9peeQSzRqm7shE01jgNxKiGcXDB4uUuWL7LRdKqD8VcXH0rEbug/FLgi1hrpmzEzb/pxnxdEnS9SlHDhcX91g8dUj9fY94yhCdTHnx5Scc9qpkzYK5xR6XX3lGHgIG3AOL4Qmo/iAkrxgml2KGb0aUtvh7KRSVLcX89xVOX1NEtmRqtCOGpz6ba/V/kJWbUspSSn2olPpXx++fUkq9q5R6rJT6b5VS7vHHveP3Hx9//uRf9r2NdVyZjMF7t4r3fpWp77vYkphG9WMPt6soXQh3RUZR+gbnWg+OdUh5oHD7IgNx+xr1NKR4tyWPvRDUkZnYhH7C6OYUkxM5/Usy1QJYneuI99ATU/t4taB1V2HCAufIJlhzWfraBtQzVv61Qgc5P75/ClPI3XZ0ssTrGSazmmIokXLhXZ+n76wCMPWOTf19n8nQk6b1bIoJC3o3JITZfrtO5Y1DKstDsgW5sJsPxSM7uJIxfi1idCaX9C1AHbo4TamM2PHQ+x77H81Rv+fgdqXStQYW/q2A4fMGw+sxTscmn8kk2zIRCkp+IiaZEnS6Gtk4D0JKx7C928LdlgxVe6SxR4ql6zuoSKMjJTqsWibhJXM5yUyOO4TKJix9R9Fa7KMSkS2goX7XYXAWSYh3RPQcPvTwjjSTEznBnoJMc/iS+G+1W1D7hV3ilRR7oni2OY09Urz3fJXwuU2S2hSuoXy/wamLO5QeWLWM/uWc9MoElIRuFwsJRT2nPPRk0/UMZjYhbSqs17r82oXbJHshlWcyDMmqBv9IeH5Z36OyLsOBw9+I0G92Je3qeYX0hQnhhs3i7zg0Hhtqi0M6vxxhVqTqKgKDu28TLRVYCWRdjyxyaN1V2LUMa2Rx5+kS28+mySuCOadQVJ2Eou8SPrfZe9bm7uYChW+o3nMpXShOx4xW5ebZfMej+V0fayYmDyBsTwCIZjTpfMbSUof8TIz5uI4dfTbe0v+hTkv/l8C9P/f+/xn4L4wxZ4Eu8PeOP/73gO7xx/+L46/7dy8F3dckwKJ0YHQ2Y3AWshoMzpbkIRIw2zQcvSJkjbJSYH+7iTNU0mOpQ+9azswHEK+mFCdjomUR1haeIT0fMbfaobvWonH9kKWThzh9jSrBP99n67BJ6UBwIFmi4bZF92qJv+5K5mXNMEw89KHLzhcsyshG+wUm0xTVkukPFElLKAxOzyJv5EwuJlJ9OjlpQ4i6JrJRBegjh0ozojo1wT43ZHg+J8kt3N9voMY28dWIwa+MUJGFijVvnn6CeyQuidqHPtUNTZ5aJO2S2jNNdUORLyRYiYg8m9Mjlq/uyot+ZYgZ22TNAnfbQYVC0VWl+EgXX9jDHSjmfijGexZj9KGD11WiHWyWxOcSOsc4+KKVEz63sTc9Ckd+f6fP79K/WNC/aBguW5R/OIXOIJvOsY4conmDFSuGq+KdRIkQOJkqcRoJfsfgdIQMUtpgbfjs3ZkV65mWAU56KaLoucQzJfnzKu3bimglZ/29JWniH3o4PQu2AkEr3bKpve/TvOlgTScQFKLZ63iYV/sUP2rxO3euMX2qQzQrmj5lRBxtLEP1iUM8K4+RtZDhRp1gR1N6BvUsILk6YfKf9EBBerOFXguwLAFIWokibYnFbHQmp/bEhthitKLIRw5FK8MJBVE+WSrEmaLg+x9cYup9i8lqjj2wmPnXEgOYNgx5o8B+4pNPZZjpFGcMVgqWXWBHkN+rM1kw9K7k1G+7bK1NYz/xUQWEO5/NhvNZVm5KqWdKqVtKqY+UUu8df6ytlPpDpdSj4z9bf9XH+qk2N6XUMvCrwP/z+H0FfA34/xx/yX8F/I3jv//G8fscf/7rx1//F3//DPGVvtWjsm2orDnk9RIuDak900SnU7hdIz8R4x5amPkYPbQYrRqymoTT6hzq9236pzTBMxf3bsDid4TQ8NKXH7Iw3efw7rSo/z+eJvmtOYI9xeBCQRI7VCsxyVxB9PIEVRzfSUtxGWR1Q7ijOLwzQ+kYwj2F3bHx7wQot8CbndD95YlUcKsl89d3oVDMzvbJ2znjsU/SNliRQlcykhcnOANNLYhx/qCBuV0X1f+HLcaLcrQuM433wxq1RxbBjsX3f3QZnSncnqL4cp/JnMHa8XCWxoyXDf0XU0xqEbcVo9MFnpOz3akDYP9Rg6kPLHBL0vkMvedhbfiSs1pNmQ5GJFci9t4ytF/eRyvZ4CZLJe3bhmBPC1hzR7RS4WOX0kH0eA15NT9dn8UaaYw2ZBUYrxjO3tjACnPKmZTK5S6FZ4hPpPiLY7KVhHwpIdiXKnu8IDcp7zg9PWsVqAXRmEVnUuzTI8y+h9u1BFdVFWCCShXhjsJyJNXKKCGU2APN8JRU1MNTBjYCgicezuoYU8sxHzSIp0vMxCZKHewTI4JdTb6QkLYMajFmdDYjn0kpGjlZWzJn81COm9lMTjF2GI4C9H+4T3Ymkv/TTojVSohWM8K5Md7JIdbIYngxwzuQAVf1oYPVs9EPK9h+RutkF3us8LccjFty9HKBjqWXtv+KOCtKT3q4pQ3kGnXoMl5UHF43cK+GKkXykbUKsGXiro5fL3lFgs5/6vVpJ6U/2T76c8aYl4wxrxy//78Bvm2MOQd8+/j9v9L6tJXb/wX4X/NnJo4poGeMyY/f3wSWjv++BGwAHH++f/z1f+FSJcLzer/J0TV5v/2BJkttrFieKaORu+KpGI48lq7skU9neB1F2jASSvL1Q2lqB4b4fMzhi5p0quDHt8+wtdPCzIvd6U+pvIOXY7kg1kMGj1qsntujyDRWosQQ/dDCqcmxcbRaUt1Q6OmEtCZ5CaUHquviODnZ2CFfjfH3Nd1vLYBjGP7JLMFzh3ptgv9Cj7Qld2f9NMBKYO/RNKNViOdznIFFvCBDD2toYe25lF/uUX6lx+R0hqnmFJ7BnkA0dikWE8rlmMvzu1ixknSjQkl0nVPSDiYUuSVVawNQUHngsrTcOdY/GfxNh2I35ElnWuLpqhmd92YpCo3vZ3iHmsMXFUm7pPpuQPOWDRZE8zI4efHiOsYyzCz0IdYi76jnlC5MfSy/t1Pzh5xZ2ae/0cAoaM8OSFOb1fkOrfaIyYq0BuK5gmBfkSyl5BWDrmSUe6J/o4S461N7qsnq4kbBK5nMi6vEHRrysYOuZhQLCbkPeU1eqt7KSKrzI/FuWu/VqDx0cQcQbmtUkDPuB+TrFbK6wd72yJoFZ+YPZCBgGYJmjNO1aD4EdW2AHlnUbzs0PnZgPWB3vY1lldTqEfZI4X8UMv1Dm/Jmg+xBHWescPds0lZJtFwweTESvlsuNJTRx1OkrQJ7BP6mgz0QK1m4q9HzMUE9pqiIQDlfFny4zmRSuvB9+V2WtgxcrKEI34NdDRaUX+zjXeozOZH/BVffp18KUIX5VG8/xfrzxdGfL5p+4vWXbm5KqV8D9o0x7/9Vf8hf8H3/M6XUe0qp97JsjH+cRGRPFOXrfbpXDf6dgHhaYfs5yVyOfbeC4+boWNH91gLehsv4XEo6XVDMpYwjT448pyZU6jHJUoaOFdXHNpUHHpZdkJ6LWPm5dZIW2F6O14jJpzJK17D1wQKNH/kkU4Xkh54s8T4UhLc9UQzOFejnYt0JDgSqqFPFsBtK9oNlSF6IqGyXcHz0mv3KNt29Om8sPoNSUsPTaQEkBjsWjcfgHlq4PbGGzb+xg3d6QPM+jLdq2LpEJZraHRe0HL/1to//0KfxfZ/n/++zJDNiTZMnFnSYs/3PT+I9CMgbBclUSecFSSLfvTWH29dUTvVJpkoq6yLZOPF/19jbMh2ufBAw/3/zmJzKxPhtFIOzBWkDZt7VBMtDVn4P7n/vNCpXxN+ZwelbVJ+J+T9ZTklrirUfrLK2O836D5fRiTS7+w/bFAOXw28v0nvSFtHwvIxkBy8nKLfkwhfXKFOLcEuTtEu8LRd3zyZpyXNmR6D7NsOLGe2LRyRNRfvHNhx6OM89ooUCb35C4zF4360zfdPgHxrqLx/ivNlh+mvbDE+VRAslXpjhrrufHIfzhRSckmd/cgIaGXrfpVWdYE8U/TPAzTplWDC4kpF+ZYAzluenUYvIC82v/8o7jM5kdK4ZsgsR5YkY9cJAciFySeyq1GLcPmQXIkI/JV1MmX1HJtPFsYg9WsqJpw32g5DoUFw5lQ1NUEkItm3yRsH8Gzts/WLJ8vVtjAL32w2a95Fq9q1Dgk2LPNdEjxsyiPosrltjPtUbMP2n1/fx23/2b/l2BvimUur9P/f5OWPMzvHfd4G5v+pj/TSV21vAryulngH/BDmO/l+BplLqT5FJy8DW8d+3gBWA4883gP8/mpQx5r80xrxijHlFNyrE0yX+vsKKIRr6hJsy5Spc6W84HYvWW7tcXdim9CVANz0hkW3VpzYLv+uQbVWoP4X80GfyrA6ZxjsS7M1kuSDr+nDksfFHq8TnY9wPq5gHVfRA4tXQ0L8smZUnlw9RpcL54hHGLzj15jrGKwn2hRmWNBV5raSyoWQK27EpjjwAhn9ziNux8I8Mh99ZxBpYfPODq6ClKq3MjhmfzImWCwanoP5ELGc6U8S5jfV2g8FZaeQnP26LYPc4w3X2gwx7Ij3A7isZ8bTChDl6orHqKdOXDilTi8ErMWmjBEfYeG5f4R8qimpB0i5xrALjlpQu1P8k4PAluYCSlqG6VbLxdY/W/IDxG3Jh156IZObglZL5xpDDa0I8CfalclYFJFMGu2eBNgzOyA2hGDikixlFtTieiivqD2ysFEq/5Od/7kPUoYu/b2EM6D2P288XCZsRkyV57KoU33DpCDpeFeD2hPw7GPskU0YGBBNF/an0S+OeT++SYfjWhIPrisEZqHkJ/X7I8yezqLlEKvinVUoH3D3Jkw0eeoSPXYrAQNfl/Mvr9MYBpWMkVu/VI7AN8ysd9Ht1SfZ6z6L/8RThv67zrY0LuIe2TKL3PVCGeLtCuRDTeCje1NFWncmiQW36DO+1IbYYrkgOqjtQ6Nd6VOdHctO9PGLqfQtv32KyWJI+qpPVDK2bFpu35qnOjHn2dBaAIoCjVwqa9xXR96fJQ0P9d6u4AyVh4D/t+smOpYd/en0fv/2X/5bv+EVjzA3gl4H/XCn15X9jj/ipJMF/6eZmjPnfGmOWjTEngb8LfMcY8x8B3wX+g+Mv+0+Af3H89985fp/jz3/n+EH+xUtJBaQzaDwtmf1Dh/FqQbCH0BOmcryO4uCjOZ781+dRmaL+RKO60p8ZncrpXBJTdPdFkSdU1zUnz+xJQ78nwlickoWL+4KGiS2mv74tfP++xp5oKf09Ebau314gn87ICguVWDx4tkBzbigxews5za/sEuxYIh157GMs8I4sWt/2iddr5CdjOtcLGl/dpZxO8fYFCKlKBe82RIh6YHH9aw84elnyN/N6wcH9aRkCbCvysCReKETxfyolq5Vs/ZyNPZam7emT+0xOZribLqVfUowcpsPjT/Ydgj2Nt+USbimCPcXkSsyVSxvUT/fobDZx+hbj8yn9t2JB/PgGO4LuRU3pwvBem3zkkDYFk+S/eYg10Tz/aJG0bqCE0YmCyhYUnujSFND+oUvjkWC6nb7FhZM71OdGOGPD3I8Ng/M50YwhmJ7w+/cui8DUgF9NCXcU9fd8itsNIXm0xTQ+PpuR1wQwarQgnqrNiHQ3xB5LG6G6Dkc3SsYnc5QrnmO2fewI/EPF870pke30LYqhuA+KitjPrEjh7+vjjVScJdXnmo3fPYnn5BQ+mJHN5ek9ALrDkPH5FJ0pollFtpDSecEwetAi3FGwkKAzRfBRyMyPNfUfBkSzCivSNFd6AkA4NaJYEK1bMi0Zt+MTOYGbkTxoYHUcis2QpKFovL4vshrfEFzoMVoVrH4UuThdm8YX90heG6EyRee1jPHJnKxVYiXSl7a3vJ9gW/gLd4PPdFpqjNk6/nMf+OfAa8CeUmoB4PjP/b/qo/1pdG7/APj7SqnHSE/tHx5//B8CU8cf//t8moagAf9yD/sbh+y/ovD6JfVHsnEkTUmWr3xtn9qafK3XUUzmDaaVia3EL8gDI+BDp6S6DlZkePZojuh0SjxbsrTQxammbD2fwusonCOb9d027kATn0xoXj2k/YEWuu3wOP0p1izWB5w4v4v/3KW3VUefH4E2ZIUlOqnpQpKkZqU3NzgDZaWAQ4/mwoCDbo03zz0lbQnxwp7A+HQm/aOK4d2bZ2ne1rhOjntgUX+sSS9FDE+VLF/Yx5mORE7QsXH6ov8bnRcV/uZRk/b7Nigw1ZzK9ESGAYDb1XJ8y6H/ekzvxQylDaGdSjhz3+LUqxu4lRS168nUcqhIZguSM7EMLuZSnEPBFwH070+JxOHkCGt1jNPTtG9pRssyZU5aBq+j6Nwo6J8FZwB5peThrRWie016Fw17r4E11mTtAnOrDkOxi2V1g/qoRv7mgMm8oX2vxBkpKotDzI0BU++KZqt2qUO0IP2nyVqdxkOLpGVo3RVnyPK3DdUnNrVGxNkTe4JHj8RZYa2JHjGflyllenWCPz+mdV82AF2A2zMMLhTUH0NeAXsM0QdT0udKND+4eZ6TqwdM18didxsJKAGgcbZLMZcw/EKEZYsNa3I14vC6YXimJJmRaW13syHi4cMA2ynwpyL0XIx/tUdlbkzv5jQ6lQ3ZHkuw0d5Gi2w1ITwhPcvqlQ7FpRHerZCpF/fZfT4lwm/bgFHMvGOhGindiyLjcfufEWb8M5qWKqUqSqnan/4d+AXgNv+/xdGfL5r+Co/1c6BJqbZXzNT/8X+BqgrUr/ZURtwHb+bosYW/OmSxOWAuGPKDu2ep3ncZXU7xn7uSbDR08HetT/DkWa3klRuPef/ZKmrXk0Y3UHti4/YMneslteUBg90azds22df6mPca6EyOZVYqzdpgTwzZOgP70oDidkOoI/q4oVuX0Nva1Jg4cjEbIV5H0fjqLp2350lbkrXQvHLE4WaT8LlN2jSihdIl+X6AaqeUiUXtrktWk+GCKhTVJ7J5GhuilQxv16Y4G+F/EBLPGsJtReOXd9j9cF74dZ54Tsk1yivwHgvwMK+XGC0eRGcgR0jJcVBk18ZkYwdyDV6BmtjcuPaEj39wDqMkhT5tSoJXtlXB7QtaSGmD6jpUNjWThRJrZULa97hwdput3ztBNCciX7ev8I8MnesFVj2l7HgYy9C8ZTM4W3LpxnPWjtqkj+o0Hgm+aPJzI2b+SUjc1HQvQXC2T+BmLFYHPP/vztC7ntKaGUr2xYkclatP6Ct6ZQzPKuLL7Wk5RoYpxiiKx5KZEG5aYodzYOn6DluHTQzgPAgpPKEjFx7EM/Ja8g8Vw8spzoEj6HjPUPoleCWVBy55CNnpCI48TDODoY09Er9uZUPx8//pD/lnd1/C2vTJ5lL8akqRa7KBi7/joFNJGJs7fUjnvVnS5ZT2Oy52BAcvG9CG2XcVgxOaaCnH7VpkzRIK0W+WzQx7z8VYQsEx2pAs5FiVjPLAp3aiT/pRi9w3PP0H/6v3/9xU8ide9dqSee36//xTfe23/+R/9+/8WUqp00i1BkIE/2+MMf8HpdQU8FvAKvAc+DvGmM5f5fF+LjDjhQPBjk20YsgaBXlgkzah+sgRhHVS53Er5PnRMrYN41MFamSRtkq8ICPpungdCHcU4yXF9Pua23sXKFdyqJbUH9gMLuQML2RcOb9J5/Yqg6MKlWfSa8syi+qRofNyjvILTi/vsd5pUbkaYb4zx/hqjL7ZkOmTL44HnUK4Y5P7MB7a1J5qBhcKxlMFaa+K8gxlPceMLTrdCnY9JWlbVDYV2TAkninxDzRZ5GPmUqbuZHQuORQXEordgKwuiGt7CLFfkCwaVKbRX+xSrjVASYBMsRTL4KBaosY2RhvsQw87AmMpVCPFvx/Q+uIu28+naH4srobhqRLrSYiqy4QTLcfMO986jxsj0YnrPrOXDiRasCMRhGnPxlqIyG2beMZQNArOzhzx8HCZw3+8iv1rHdTYRylDvTki/tdz2AOLciLuhtm3LaJZOHltm71RjcnAxz01Jj2oMl4uUZnNYMVidKIk3NbEpoG9rvj4UhvOF9iHDsODNq6CcMNGv9pjvFkTGcReyNRDiGYtkXmkmmynRt7MUdWSM5e3eVKfwXYLnNsVtj9YIK8X2M0UXhgyXx9x9EcLpA1D7USf4p0W1a2SycsFnErx3IL4aQ1vKkIpSFoORbWkUY/+v+39aYylWXrnh/3Oefe7b7GvGblnZVbWvnYXySab06RIDjEzHyRZ8gCesQHDAmTAgKGBAQP+6C+WbcAWPIBHhqCBlvEQFMUhh2Q3i13dVV2VtWTlvkUuse93v/fdz/GHE11sjUdS93SSlU3lA1xk3BsRGSduvOe85zzP//n9cRpDOjdbZK0UFZsiQ++VmI/2T6ASC1XLcbdckqKDmIqoTQ+I1xsAeJNjBt+fQroQlGPaLxvZjnXkYC+N2PsVDxFaLJ/eY+OgjvM4wO0Ig+aPLZyRIC1q8nNDhIDAUoT7BexQMHxSJQgNrv/nDs3PWwn9y/9K60fA5X/N60fArz6Nn/FMtF+pgiacywjWHfBzRvOa3IHRYs7Ktx8jAKuUmdEqqM73qDywUL5C3StRuysob2ZYCURLCd3vjFGXBwb2lwsGKznvvnjfVMHaDap3LGqtIeO5nKQCztUS+t9q05rtoWOL1d0Jop0ig9AnC8BZ8zj/aw9QZ01OI24oxicTMt8cp1YubVH8zV1kPTZ5kp0C/r5ADmxOvrCNVgLWA/JyzmjRHKn8Q0k0Y6qmDG02ftWmfybD/6xoiL0xRJdCwmlNcMendM8luOtT9mNEJhguKjY/n8V57DP5eUrzS3OUtocW+UJkWF4xVH/oEy6k7N2axD20GU9rrFijfE3SzJGtGJ1ITs/t89rLqwgFoxMZ9kNjZvz6xDp228YZmt1h7a4gO/QRtYS0mSFCyaOPF/F3TNP8cOSj9n3EwwJ7+1WGi6bYoKqZASQEpiAghcazM8o3PBwnZ/xKCAIc15hly0QwvJBQPtdmNK+hlGIPJSyE+McwS7cHwe9XKT2xSCZyrMjc3OKGKWagTR7X7pkj/eraFDqysO4USeoK/8DkwILPC+g7JfY+nWZ8JkbOj+nvlhmdSuiekahDj8BPGXUC3K5E3C6TPyzhjATWWNIfBBweVFBzEWJoM3Vx3+yiE0mS2aZKXknwD4Vph/qiQHerYrQVGqKjgNHZmKSuiEYuwZaNv+aiCopyIUb2bfw9i1Himmo9Ro6DMoLo4puH5IGmWR1hf1kiv1c2XR6Z2aH/2EbyqcTT17n9lcUzsXOTkTC+oL7G3XJJ5xNU6CKbMbcezhGcGmBZCms7IC0aKoh4Z4SlJPbEiHhUpXteGEPYoYXYcSAHOxHIk2PSxOajT8+BnxOFLsmCJt2pgKPx3zmk1y+SXW2SnQoRbo5zv0BW0KR3KggL0pri6oMlpJtjz4wpBjHd9RruALISODJnZ3UW2YhhNsKSinFa4PSLG6x+voiUmtKmoBdIxExEMiUofxJghRYyh6xnKpFqaDNcVOArGndzNhcc1EzMidf32f2DRYYnM9w/nMYvgfN2h95GFfvQonPOIZw0HhB5KvDvBeSuUdyHbyUszR5xOCwSjlw48Oi8F+PfC9A2nDi3yZ178zz5eIG0prADk7Oa/c4699en+N7vvU5+LmKMkYmM5syCUFoM6UZlihsWyoHxKTOZG38RkBUFUVPjPvEpv3pI/8smYmShSzn9FQuxPOTh7VlEPUFOarxPqvhA+sqQUhDT/F6BuArDyGW430BZoBOL4pZgJALT6SGg/kt7jP5g+qvmfK9tOkTe/uYtfnDtHIXHDuK1HurzKlYMWclGBflx8UcyXDKL+0vvPOJRr8X2bh173yUtW0aiUlPU7ym2F3NGI5/WVJ9DKhBLSk9Mp0k4m1P7UUBwqNh9T1N+LNn2WqCh/MDGWjAsQblj/kZpK0MOLUQhZ+5XdijaCeu9GsNbDaxIYO0ZD4moqSmvWuQLgrkLe2wfVTnYruEqg2LXzYRKJYT36/SGTRqrsBs0EPM5TkcStMakFTO9ndsF4tnkqcxV8QyksX7aeCZ2bmBwQMlcgrZAdEzrjzrykD2bsO8z3C3RezEhDzTFLUFwpUg+cEgeVow4tpoiUjPxkomMtKKJTkd4bgaHHo3rAqtv88byE9JqTumRjVuPTGGg7xBPp4hNH7+YELdyskpOWtIkyxH2UFKshxTLEUnPo7dapzA7pH9SkXuaB58uUb1t4V8vUPw0IN8JjG7uj5YobgqsUNB73ZiJlD4q0PyuMZcenk3REsaLGXFL4bUhmB8gxhbtf2+IU4+RBy4P91oMXw8p37fpnT82dv5eA3/Pwgph9PrY5MhWA+yRJFwxujHnhT46sti8Ps14s8Sp2QPEdMTyzBHJ+ZBoPmH1kyVEIkgXzPdcePcRw9Mpax8u4PgZcUMR3PHRtsZ9uUM8Y8xZBiMfp2yIHnYIc7NtRC7IigLrV47IliOUoxl+1jrm6gsW5o4onOviXCshY4FKLPKZGGdgclzeJyXGH7bonLWImoLkZIh3toeeiXD3bENprh4TiSdjOt+fxhlp3N5xO15o2Go3D2ZMW9Nihv60CsBoKYdWjCxkiAsD0stDqKbkI4crf3qRfuRRawxNz+u6jZpMELHFYF5SuueQD20Gn7eQA5tgcozzjSOGJ/JjWRDsvQ3aVaRFcI8svAOL4UsRh50yqpRTeQxpLcevR4YY4+ZYQnH9xjKTpSHOmT7S2LIyOpniHxrEU3e9xtFfzJBHNsETw48rbphpO9ioGC3cWBBNmMZ5bWmSVo6+XoH1AO9aAa8LcvCU9jG/QL2lz8TOTXkmaU9kYYVG+iFjaRLFqeD1s4+48uVpZCEjnoXptw7Z2KtTuBMQTim8jsRa8yhuwnhW4B85RE1NFlv0d8v4HUn3vMIZSB73G0z+yCILNPnNEsPpnJWzO2x8Omfag8YuTk9in+tjfVRlnLnkvmY89PAe+bi2Jq0qRj0fb25EfBhQemQTTUI0ZfoBAZSrSKqCxmv7RJ9NYu94KAu6LydUbrpklRwxtnCGGrtnkdVy+qc17s0qjtREVZegmDAq58g9n8K2ZPzaGFJJWhD06ubnWCNJ8UqBuA5JPaeyajHGRZ8ekd6p4CemwCKbCTuDMrads3FQN9efhGwmxnZzpKWQD3yuq2WEEsQTOdZ2QPOaKa7YoaRfKyJSo6wX6wHKNn6x+VgwvjZFoWNMhvu7FZpXbPLf7tDrFqh+6hNPZ2xsNAnWXKL5nPIDi34dStWQ/mkXtyMZXEiMcfS+g3doFr/4bhVdVshUYIeAo7FqCWrfBwHuUNFvWpAL7JHGOXCIqg7SzXFLMVHJwV4zizNdQ+9IE8+4hHUFMx9HbP2SQ3yrRpIJspJJ4gfFmPHIJvcBDXY5pXTFJpyUxHmJsG7ylMHkmDgpUXoikanESjSjOYGMwd72CM51sSs5h+9WkAObZLOI9jXugwKPRAsZStb/fIlwJUHM5ia1UEwJZyzEREzhRoByoPaZSzRhhMDjGY330LTPJRPG8czpSoJNGzuC8Ssh8UqOjiyCcwO6h0UKD92ff6JqnprRzF9HPBM7N9fLcPvHVNEuWKWU7usxJ17Yxjvd58pnZzhxdgfHyUHATqeC7ebEdY0uZ/iHprLXuWyY8cNTKXo+gkyYhWcmOyaDaPofTNG5gGl7OhUxtXLI2tU50npu7PnWPSMd+NIcZZyBpLAjsXY9I1k5EAQ7x5PpizLlVdv0nm5rcIxpi9s3RimlTdi/O0EymX2ltyM1/YFuW9L8UtA9b+5yEz+ysMYS93IHBFhbPuUgAi2MIcu7HVTHY3GmTbk+ZvnkHqKQ8bd/+QrD10Ky02MjQn4xQdmatO8R7Jl8S17JmW72mCoPsb4ss/T/lNTf93F3HBofeHhXi+j7JbKiRvvqK/+CPFD0Twrar2b0L6SQSS68sM4L375PNmHExIDBlW8LRqcS48/QtolaglohxNn0CCc1ws9pTPWRL/coPbKMR4CA9Is6tVNt7DGIsYVXismmE8IZRfG+i7LB37FIz4SAoau4NwqmWPNKn6hhTJJlKeXo3RS3Kyj8cZnSjwpE20XErmd6Vg+MzlCXcpy+wTQFB5rHv+OSnRljhYLiK4d/KRD+vIrbtozTVFPBZsBoXhgEVGiE3EILsvtldC0lbmi6LyccvZ1SfWOf8UpKYUvA+3WGXzaxuvZXucfWp5LJqxnBx0WckSBcSiE3Vd/Cug2bAe7cCLZ9kxeuKnov5CR1RXldG6xXQVN44uDt2Xh7lll0BAxP5OgDj3JtjDWUJNdrRkd3Mfy556ngp+tOeFaOrs/E4paMHMaTgnjW6NbKHxYQlmbn/XmiyEF7iker02QPDZG2/gcFko6PFUHxvsvghEK+3cGdGDM6lSAiaXYmnqL6MKcwMSKfNqYZyaUx0x/nyDNDJif6RMkxoaEa4/YFyWxKYU8jMtPq5HaM61TWSFG2ZrikiC6EWF2z6Y3rhgIcTgnccoKYjEhqCnfLxR0YcbLdscmaKUlD4bQt0tcHeB1B+0WNPTM2VJQLsPL6BllmGez3Ykj780nqsz0op7h2jvZyNq9PM+gU2P1wjvJVn9+78hr2mo97qwCVFHfXMUyyXYO2Zt5c1EcfTfPoxhxoOLwckFQF9rk+R99ITNHkQp+F17bwth20owm2LGTFWMUVHjvYHRurnLK63+LqZ6e+wiHljRRVyxicznHLZufl75uFbu+DOZJmjjMUTP1Ll/ZWzbQDTWmCfdMPG7dyeoMC6RsDtKeI+x46NhDG4rZpRWp8cxd2PaKXxhy9nhOeixChRbxewhmZZLnuupAJch9G84LehYxg12Lic0hqpqFeuwoSI9MA83UyFkhLMfPLm3S7RfLZ2FRapUFxxQ3j+5k1UtKzY4SGbDlCjCzK9y3DeIss4pkMp5gy/4cWvSuGZjKe0fTPZ6Q1xStvPqByuoPtZ+QeHJ23Gc9plK0Nq23PBstw/GQKSWyjAoWMBXndUI5FKoiaguKmJKsY1/kfi47TuiKaMl0n2tH0d8sEJ/um+2LbgZ2nIeIFlPrpHs9APBOLGxaEy6lxmvdAfucQPbKZuJbh3ikgggz30MKODOtr/00jx8hXIoNiHgsmSiOSyEEObbSvcFxjvrH3umTcCyhVQ0THIeu7dFds49twc4LRnTrBE5fswFQHUTD4tZHxz5zNjW2gBfahg3V+AALsNR+RCZQNpU3MTk1B6XtF4z6UHuujFiRZNYfFEBFaqImEvKCpFCOUBapinKYAsnrG6o153O9XKOwI5MMAeyzotksIqbH/aQN/3eiZSrWQeCUiemuIU4vJj08clc98spJmvGiapIUCsR5gd021M9iVhLOmQjw4kzE+LGC5Ci4OyG5W2PpwHoTRccUNDQdmQoSzJs9lPfaJ2wEyEWgHpj7LsdoOYmhWiyyxCHaM6NQ+dPDagDZV7933jH+EuFVGptA/n9K8rrGPj9XJfoHWJzb+uos1sHAGmqMXIa1qxv/NlNEV9l3k2PTAuoemEr77nmK4kmG3jJl3NGloxyIwhs+77ymK68ajtrTqGEBDoLFe65IWNVYC6WHAo4dTnJ3fw79v4JnBm4c4PYHTE5y7uAGpJAgS6rcEpU8DrFAynjWkF2/Phlzg3CgSNiSL31wnL+Vm4elaiFrCF+sLdB/XqX4vYDQH4zMxuW/w+f62Q+O2sVVcem+Nxbc2UcfazbxkvCaSCyG//stXqT7K8TrG8NtrC9y+qYpaQ0njmsRu28hIELTGqCs1ipuGLVc+3f355+mPj6U/zeMZiGdjccMYICONl0HvbhMszdFFm2gi57deuEHrtT3U+SHNj21aX0jiyRzrkU84ZXoyHz2aQifStNL0LdRqCZEKgn1hDFQeVY0JzIGFcsG9EyBTyEqKpGY6IsYLGWJskWcW/qFpfLdmx+TFHP9IkDwu4/QNmUIvhoRLKcNvjYhmUpK6wvrbh7h7hvdf3jAXt3toIR8Gxtm+7VI72ebw0EzwM8u7hGOTf8M2EMfhkqJ/NieZTZGvd9GpxA8SKv9wk4l3d/D3JXFsI22FlBq9VsA/NCBPZYMKcuxKQnYqNHDD+YhsIiF6fUQ4bai60YWQb710m9mlI/wgIRq6xNMZ8YIhclTu2kxd2kOVzSLpdiSinpA0cuy+Rfmx6RLpnLbJGylIY9TjPApIqmbHY60M6V3IkaGksGGZBP9Sikyg+sAsPu0Lx6mCsxlOR3L0siKtKvxDSftFTWFXmAXAE7A0ZnrpCOUbKY22NHJ+bLSKAqw7ReyOzfLpPaJTMTqV9H59hFCC+rd3yGZjkprm5CsbaKnJrtXI6ylZQWMNzTR4ctQAYZiCo6tNwtmcuKG5uzZDY77L8KhA+0XN4FRu/sZPjNg8aea4RwZ0Gf1mnwe35sAxuz+1EBkh8b6PzKDzgkZeGBA89NAl0weanRnTfkGgfrnL/c0p2v/VPNMfHKPcmyG4ijyyuNebZOt3U3qnobiladzJGC4qBq+HqPmI9nsxWS1HC5BSH0tANPbiiP7j2lOZqc+PpT9rKEGrNKJ822X8Ykhx27Ct/ENNcdPij77/KoefT5F0PXpn4OCNHLzcJMRbKdFcir/pMPun5qhoRQIrFlgzY8ZzisIt0/spM3B7Zndoj6H16h5o020QTWhqc31kM0Hve4wWFa1PJcGPStg1w8hXEwlWDDKSiM0ALI0QGjmyDP/rRxNo23QV7L8mjRfmZIbXNUAAVcnorNfRI5uTf/cB7bCA3PTx9m2cPQdtGWOc+mLHUEb+ooa3Y5PfqrD9x4vsfj5N3FRUSxFyPSBdK1LYNVoumUI4ZYS+2dDBu1EgCzCShPqYZm2Iv2/w42ro8OnuAtvbDUZHhmgy8z0LMTZIbHusOfpkGivIEUFGeiLi/MIuzasGFxVOC4anUninS6U5whpLswOqKPxX29gvdXE+K6Mdhb80MMf8jkPljoMzNIuwX0jITkQ48yOzOCWC8iOLc6+uMTqT4HbM8bW61CN/r0caOvQ/mMLpW/j7gnQxJu14vPjbd0CDcoz14JMnk1h7LpVbpu+4+MSi/4czeA99Zl7f4eFeC6cvSWoKYWuKm5L6bRCxNAvChRHZbEy6EhkpRiNFWIqimzLxQwfv0Cz049MGsClTKD2y8A8EytOMdosEOxZOKcGKDTggzyX+wsBguyJBulqmtKEprLoMF8C7XjBUD9toAeOGIKpLTn7rMbP1nkGY33AZ/mdz6EyiHM1oXrD5dzK0q2nUR1iWwt7yjF3gVEzBS5CJoH9aI6+VscbPSbxfS9h+xpMHU0QTGvd+wHhGo18Y0D1/LAB1NcVLbURyjMexNbLrkB5Xtl44u4kzgtG0JK9nhpxb0mSHAa+9dd8k83vCGAS/MsZ9ucPsb62xvd2gflOSThv5x+B+HedBwMuvrWKNBWlRMDiZk3c8rEqCv+rhvtkmbyWo2QgiiePk6GaC2vOJJnPcM33iRm6MTgRUbzoMLiSMlnImpnroIEdkghs/OkV7tYHbM9XMrGKItHJpRK9f5NLZDfqXE5KGMt6fVc3EK3vIVNC/2sTpCWRmFuXBmYzCniZrGP+EYMMxujMBk60+w26BhXLXJMNjgdO2iO7WjCYwkci+ze47UH5oGTjolHG4r1dHeI99dM/l9vVF2pcV09/YQiZgd23C1Srj+zXKj42hcbA0oD8IsN6vMZrPkYUM21KELWGEx0uKwYqidwrCro9KJa3KiNKqsd6Lmpr7Hy8TPHYJTyTknqbXKTLeLuFuO8SXxmRFxWg5x/EyhBJ8/PAEIhOkSzHhfAapsVTsX0pQmwXSEoznNMnpkM2DOqrjEZ2IUdUUpMlZhZMCeygZ7RVxrhspv9z0v6qUevcDtu5MHSv0ISgkkAs65yX9cynahtGCwooEdi1hvJxi3TFWgYXJEUnoID+uHnt8GFvDg2+myBSCXcHoZAonxvTvNHGDlOTyiP4pxa3bC+y8P0/5tov6pS7hhMDddsgrOdFiQuGOT2muz8XWDmnPcOjKV30sOyf+7gT+oTG3TuqKtPE0VLxPt3H+rzqeicUtSy3soUVp3aCns0qO/4MylQeC5M0B7tSY4c0G3pGFPHCp3nDQjQSE5rcvXefW3QWWf+cR4aTG2Xfg3S6qoDhxbodPrp0yvYQuFPY0+chBA48/WqR4z2X8a0OcHZfl03vkJdPY/PnNFZL5hKwA5ccW5QcWYj3A60J3p4K37qHbLpX7NtV/Wia456MbCdo3EhHtmgby3rmc/tkcf8NFO5q3pp5g+RmFLQvlaUpPJOHZmOqpDk5HwuMC+WYBreDG6jzutkN1ocfgRE7aUOzcmzTY9MDkA2VsEuLWwKJ3Etzd451rDN6WyXnt7tY4ubDP9rBqbAsLmnQqJa1nUEu/2l1ZExGDZcVgxaDZlQNHj+rEdYW/Y+EMzKWycVCn/t4uhTNdJi7u4x8Iemc0aSUnv1bFeRigv9VBewohNdmxj4XXPqZuZMdki1pEpT7GlopwStPdqeAMBWklJ1xImZ1rm8VgbOFPj1AOvHPiEZMnj9BSE/ywhLY0b5x8wtTpQy4ubePv2rht047klhLyRgbnBzh9gRo55H2zm7OOHGwvx3ZyI6wtYRBHljY2fJZBeuce1K66iAzTmVITRBdCxn0jQ4mXY4SnQIGaSBCZoFYZE2w6BPvmxtz6T4tUPvNx3zv8qsqqXY3VtYkbmt5bEXbbJt8LTE/1l2WyAx8mY3AV4XKK0DDcKzFcyslPhtSn+wbL9OoAAXy5N0drvovXDMkKxwbjRYPdr9/G5In7T8GUWfPc/epnDWGZalTnxRyhoTAxYvhWSNQUqNUScdcnK2qUZcgfw7dC/Ac+lVWLP3r/NSY+thgkHtWXD8nnI9LUQluaR08msWsJ+UKEWojo/foIObAouCnKNvyxNLGxR4L1WzM4PQvvhS7evk2pFuK+d8h4RhPXTcJ/uKjx9mzixRh7LBm8FLP9ntm1uGse/raD7DqIxBx9yQWFmSGtazko+G8/fRmtBPLtDqqc0b8c4z32kP9tg9wzR7O8kcKBh7vr4AwE/Yc1vJkxWmqq9yWVhxI5F+Lvmou1fl8ZKklBkVY0ytFkvtFDKQecHZfVBzPEmY1OJMVNwanlPepXbXQuEKmk6CeUfliguCXRvtmBaGm4aP6hJDobUbjYwelK2PHZvzpFf6dM90dTJDWNv28U+1lB4/Zgqd5h6cQBZ2b2iVvKHFnLhiJc3BLYA0E0dum3ixwMiihXE2zZCAXB5BhywdGVKUoX28hYom5VyOoZP/ziPL1RgEyMJWGwbbPWr3PQrvD4X6wQTZtK5Ld/61OyxEL2bdRqidzXONWYwrptkFazEeJJQJZayLNDck+jqhkyyMjKOZWPAmb/XJjd/LtjxOs9gj3zfsotH3ngghL4pRh33TVtTpsebg+6t5qIDDqvZGRFGE1ZhFOa3t0mcVNRWhP4OzZWLLDHAu+RT+FsF21pwklB1FLYk6bC7ZQSvG2HLDBSF3ssWZjo0L9fZ3wqoVkeMXpYZbBaI0ptsvUi48WMYEeSVE2nSVoEe2FE7c7/wAT8Webq85zbzxaunRlUNUZGEO6WUG2XmV/ZJF+MQAm0p/C6x2DETZ+kphi/M0SmMJwXdH9/js6tFtaWT7ZRpHrLxj50yAYOKrWwnvikXeO6Pv7upHF+qmfIDZ+sbBTuytHwgfGejO5V6d1tomYiklZuclnNlLRqevqK5zuAOcq5XbOYWSEg4MSFHdM3CIzaAXtvSKxQImOJ3PIZP6jhbbr4pYRoJuPobYNLj5s5zo6LUFBag9KmIVM0y6bYEk5pemdyioUY5/UOM+9scfCKYP7cHk5fGmT6VEw0myEUpo/09BB/12b8Ucvk8VJjdNM/CYUHHjrIad9u0Tufo9/qmRzkyz3CE4nhouUg2i6D1RpqJTQeBAJmvi+/yp+NlzLSkka5msG5lLvbU2x/NsPdtRlUM6V3OeHcu4/JAxicNGp9ITRzf2SZiu2Ekc+MFnOsKxXctkXSVHT2Krg9kx+TIwtZj4mOAuyZMeH5CHsMR19OolJJ1NL4rRDlKb775CxqaCgeWUkRT2d4XxTxjzTBmks2NJilxg888oclvDN9nH0HnUvwFd3LKdu/mTF/dp/yhwVGhwVmf2Od4amMrG7eW3fP5tTEIWD6ZbVt8p7lJ5CVNNLPiGZTemdNwUE7BqTQfSklbpoWsORcSFbQDB9V0bZm6hvbeEeSLLYJbgSkPQ9nAP6hRm4aK8gnjyeNh+9tlzizUY65oY3XKjTOH5mNwSmDqx+ezEjLAnG7zOGbT6m59Pmx9GeLZODSvtNEJJLhqYxg0yCrd74/j9z0kaWUqR9IBiczYwN4B6augOPkpI2c4EDTO2vkCm7X2NrFDcgmUspTQ9wdh6SZG4nGmst41rDCpv/ciB+zksLq2ijXLCD5dIzMDSlWJRZaGD9KZ89B+YrmRw65FjC0GS4rRA5ZNUe+3cHflzy+O0NW1Ex8Jig8cskqCuVogsUBeaAM8yqHyh+UqF23ITEVzOpiDyTkJUX/JOy/pUkmM3ZuT2KVU7IAmlclvbUqcWKzttOktC7Y/2Saqdd3jU4qthCJIJrMyZspSXy8o+qbym37lZzup5NoRxNOKdwth7yZIhOB+rxqOGd3K+Y4FkuyQOO2jbGwfBwQj1xkDkcXBcMTxxXhA4t4IcEZGOOcrO1jnR7iFhKcIIVUcnd7inBSgYakKihcCzi8ZOG0bUo/LKBcjb9rMTyTmMXAz5FDi3glgmqKChTWwwBcRRo60HNIKmDFAgaGfMutssGej128ZmgWe0fTmu0Rvzqk/Yqx2ROxZPHVLSb/3TUARrtF9GIIPQfZt5n4yMbbcBn8wQzjGY1TiXlwx1RAZWjkGcUX29y4vYhyIDwfkbVS/Lai+3ZM0syp1UbIgjG6bly1cNsS4Sp++cW7FLYszrz1BJULvLbAnhvjdCw2bk4TTeX4D3xGZxOqNx3Siqa/AnOv7BgM/V9YTPzAMe1k/7xJ45rEasXUTrbpfzZBOPSQxRSZmTxnNKHRFwYEG0+hGUkDSv90j2cgnonFDQHlxxLqCXbXcNkKuwqnbz6t2y577ypkZI5V4aRg+9dyssxCFDLGM4LqXQt7JCmvKfxKTHwiNt6XfkxaVgg/x+lKollDnBjPZ+x+OzP02Mw4KE1+Ikzf345HUs9ZPLuH9EyZv7hu3IhKD81FMuwFVG9buPMjAIINm6KXmL5PRyEWxrR/I8R+o4N2FLqQIz6uUtw0pi3RfMpgUdA7f+x0FFsMRj7ZTMzKqV3juN6XOEc2qqCYb3XRMxGjOYE/OyLu+bhPPKKW6c5ovz+DU0qwg4zJKwLtK4Sl8G8FtK6avFIymYGlab65y+TZA4qLfZK5lMoNl9pt082gYwv7zIBwSqM9RXbC9IiWn0A6ZxarfDkyC+bUGKEgmUlxt13iydwc0fqSV+c20A9KVP+4aLoddgLKTyT2SJJUTLVaW0b6I75zhKiZvmFha5ZP7mEfOjh9ib3pISxF83OTS0No5KFjvv70mMzX2BOh+d4UVD3FLyQkoUPjC1MwOTwo89L8FpXpAcOzCWjIleTe5hROX+C2LfLMeENMfwTtFzXekWC0YHRsaehgDyQL80fHGj9FlDj4uzZZWeH6KfaBw3hKokOTLogSh+WZI45ezlGOYOajmGI54tPtRXIfVr9/AgYOxW1NwU/IF03PaXHTwnq1y+tnHtM/awpTytWsP5gCqTl4FdK/0+F/8Uvfp3NRc/ROysnpA4bXmsy8s4Wz7mE/8UFBYdNCz4fE7cBAXX/ueF5Q+JnD6Ls00jLJ8umL+/RXJPxKB7dn/DTdjrloBi/HjC5G5hvvFwnu+mipGS1q0lpO55xE3y4jD1zUyOHg6hTFTWNcUtoAp23MiIMdm+I9F+VBYanP4GJCf1kaca2vcY8sjr47i84k8tyQwYoib2QMT2Ykv92l8plPOAXiepnR6YSsrNndqhu3JoC1Av4XBeLrNVCCUnPMaD5ntGjavFCC8IRR9OtaanaObY8zC3s8WpvE7RpPgLRlehjXNltcXtykuKVJHpeRfoa8MCCaNVTe+r38KyPi/pLEPbDRSmAlMFgy+OzCmmP4dbnF7m6N9HrNKPZ/qUP/tEn6e9WIOHQobgKWxrsbGOrttEArgf1lieBqgHY1+n4JLTBSjrHA6VggjPPU51sLpCXNwbsZFI1kYTyr8Q8E6dkx3Rczpj/JqT6A0fUGuuNSv2Oq3082JoyxzUxqkuHrPu0XFaMzCZaX450Y4N8OyNueyeHdKqE8RdxSXFrZIl4vEdzzCY7MjK5e9fj0zgrh3RqNyT72REQ/8tBtz+jcIvP3iJ+U6ZyWTL+wTzSpUYshcct0m9gjQWccwHyIv+UQjVzje9GIiXs+jVtG3ydiaQoTDypEmY1IJVELNr7tMuoFjA4KxK2ceDE2SPCLMFPpm3TA3JjxtGLYDfhyYx7tmZ5agPIDy8Aymynxpw3+yfu/TF5UOHsO91ZnSaZTNvYbOC/0SavmZDKez6mWx/zGq9eJJp6Ssvb54vYzhtRkpRznXoAOcjofTBOfDUm+rBO3FHvvmhYnkQuCex56aBvUd00RTufkvsFZY5mEttCmejWx0EFkEL00xumaI5laDg01pGx6G+MTEc6fVnG3HaIzEUIZMkPppSP89w7Nz0lsipsSb8OY0Sglj++qGnsEZ1d2+PVf/QJ3xzFar22HtJlR2lbGV3UomSwP0a7G37HIfU3tuk3pvkvxsYX/0CNvpqDg3qMZxNAmXMiIzkRYxWMa8ROXL79cIZoQ5NWMyVafaLeIiCTxqyO23xPwpIg9sAhPJCR1Q9Z1BprRckbU0IxPJTiVmE6viOg7TL+9jcgEeS5JpxKUC8luAf92QNQ0kyorauSpIeF0TvDQNcp6D7wp0zaWTmQU6yFZWVO80KGwLZCNmCQ2hZpic2zE2Y5pgQqnNZVSyK+/coP+os1oVlBaN2Y4+29pmo0hhWqISAXlySHNl/ZJmiZfJKRGPgmQn1RJLw+ZPXVAVoRwPkVGEms65OaXy6hyzvhEys7vJuhyxnha0zrO6Wa54bmNbjSgZn7nyfe2EbZZSJSn6XwwjUwF1qMA71CS1pW5HhObqUafpK4o3vQpn+kgpQJbsf+eESgXNyxO/DPN/F9k7N6eRHuK87/6gNNvrGH7KW4tNgj4fVOF1XMRd28voHsu1t0S4rjHNM8kdjElDzQyEwQHyszWniGDeLMjRJCRVRR220bEFmLTJ1wrG2OhhqJ2UzK81uRPP3jJoO9/3tBArn66xzMQz8bilklkJGm+Y8yMowshxasBytIEuxKna5Ll8+9nTH0aIxNJ8NjFHkqmPjZ8fH/fQjiKwfkUZWnKX3qMfjhB0jLECwBvz6Z4pUDltsPyq5uML0TU6iOyv9VFWzDzhy5OX6ArKd1ukeGVFnLfJR8YIrAVmV5SpcSxI5Vm9HLI7u8v8cc/fJmspHE7hksnxhZRQ7Lwwi7/9q99aO760rD6Jz6HcMoUDJyRJqkqrEMX2UxoTPWhmpr3ZeCgFRSW+6RlTXHDIm4Yv9HdjYaRgiQCeb+IKmeI1BxRlxYPmVs5xN+xUK7A7lq4PUGpPobHRQpXCjgDwcH7szgdSbJaoXzTQ6Ywe+bACJElkAsalw+wvjRmzHmgESMb8UqPqOeRTGbIgUX+ZRV7KOgelRi8E2KvBqjEorgtcKyc4g3fdGDYRubTHxT47v1z9N4whYSkJmBlxCuXH9K/2kRdqzLzA2OZuLfaQhSMfMZ77JE2M7IA1EaR3ZuTpGWN0zGV1nwnoLrcpfDIYeXEHqVyZCggjZxx7GCfGnB+Yo/a23tGIzlwKGwL1rebXxUg4kmDSoqOYQfhyQS7L+HII98ocPjJNE5fUNxWDEY+6fi49y0xRJDcg513XPZed1DVjMLEiP1xmYY3Rm0VyHOJFoYarQIN2z7WQGKNjEmOzI5b/TZ9sr5rcp5dQXnTLIq6dNxa92UZHRmAg3Y0dk/SenGf0okeaSvDXxkQThqqTl7NqEwNn8JE1aDVT/d4BuKZQB7J5Jjq8f1prIYmd0yLjdCmGpevhNjA4H89pn+rCWiiqRy3Y9F+AcqPBb0LOf6qR3jSuAllgWGEVe7apJUS8dmQ/MBDS0G2HNFQEh1ZdPbL+BsulU3N7lsGo2wfGDROvGJK/Xo6JVyAyh2buAH6RgXdyhESilcDwinTj1mcGiF2qsQTisKWRTgB/ZvT/P7+LOOF3PRHVnM65y3s8z36UZVwLkc2YvxrBeyNgO4bx6yvdZcsAG87oPiNAdOvbLLVqZJ2AuRKRM1L6eYVgk2b4K1D4o0a7kAwPJOw9cUMytP4uWGN6YWILPVR96uU12E8bYxtZGYbbdkrQ4aFAGssia5Nkc1lZrIJzVG3hJpQRhM39vB3LazHVaxXQty7AeF8SqqgeV0glEt6aWTcqGJJXIW4H1DKwOrauF1JWFTYqwF5oKnfAjvWRDVNmFvc2J4lrZpWuOGMpPqFR+/lBEJjAiOXR8jEIm5J01q3Z6qkXluQVo36fzDyyU8nrH8xh3I15Q2JTMHtVxguCNb+eYmjFwW6lTE93+YgnERHFnbXMv4JvkRoePW1B6y2W3Q3alQfQFKRqF/qMtwrIYKMztkMFZtikNOxDHvtrZhCOSb4wwpRQ1C76tK9LLA+qnLtGz7WWKA2AuSxTMduhqSWz9Rim729KmLPRS1E5AMHpDY7sqUxcrPI4QsBIjfvYzSpsGfHyO0C/r5E28bUWmtBfK2OqCnER1WyCY3MQPo5yRf1pzNZn5Ej508Tz8TOTWaQF8ybpiYSgscucV0TLyT4bXN3yw89ug8aZJMpTk9Suy2RCeQnQuzfPKQ03yfY/8s33h2Yf4cnFNFEjpQaVc5IG4pG/djrMRfIoXEC7547bgF6LCifa5NNJUhHEbdyil8EIDTB39qnfv6IwmuHvPjiE4IdidcxPXx232LUDXC/eYg/M8Jra5ITEUzEjJYzpj8QWNOmKub2BFqbflC3LWHbJ5xS9M5nNP7cp/bdwEATT3cNceTPJtls14g3S1h9C32vxOB+HWto4XWgd79B9a6hgLSm+zRumypieC7CGYF7OyCtaPKSYjQL8WRGaWpIWjQ7Sf+j0ldYapkYwaqejLE7NmrXR+SGTTb7/QxncKzGtw2KZ2H5kLyoyF2DBsqOjMDVHliE8xn+nYDhKyHK10QnY2Qkiacy3JN9umfh4HcihotQKEaIuyVzjJzVDM7khFOayjX32Oocin9RxNoyiPPKQ4OOQhgj7Gw2NrKITOKXY4obAnsoGC7ljKc1wzmT49z/TXPzc3dtdjcbOMtDZMnk9pKayfk5fcH6f3Ka0Y0GhXWL/klIajDaNtXYxZk21vUSzppHadXGPdsnL2j8VR/PSRnNGn8D5UDhkWMIM7eqxnB8NsJrw/Bkhn5iJEvtaxM4ey72UCDXfZy2ReMzo4VTSpIFEDeMJKR634ih880CjRvCOIeVNeX5PvsHFepv7GFPjQl+5YD6xUPSmsIPEuTPbzj/C1ctfSZ2blkA/r7EisBd8yjsa0aOwHngMVzU1O4IRvMS63KP6GEFhCYtCQq7mqwccNiyIZO4S0BsUX0Ag2WQmfhLByc3I28bXdfg8xYLb+0wiDzS3CJ6XMbtH9vuLWi42SAIBUlFE/SEaW9qGTV9dxiQ7BYYH7WITickNQdVzmie7tHtF2jvVnEObeP4tO/CrCl+7L8BxY9LpgOgIHBvVnCGMJrTlNakcb46ldL9tYTCpwXjBLVRYeqmpv0C6NUSxUNBOKFJFw2hFwF5IGhcFxy+bkCHya0mQUsgE43jZ4yntNFmpRLt5ZQ2JAPbIu5UkdL0g7ovDLAeVJl6bZflyhFf/n8vEk74WAlkVYVIBfZIsv1N21AoEkG+USAvKrZvTGEBo1mBNTbi4aRmjlKtS0fs+jVELtGWNrucgcDdtAnLLnkjJ7hToLCjOaqXCV7o4zwog4ClM7tsHdaovt6nv94ia6ZEPWMENHY9ui+mxgv1/Tp6J2C4bITSwR2frOiR/FIf62qFiasQV0zvqX/k0HlFIBYi8pGN8HKyxyWKu4K0bNBIVFLkvs/euzneoWVgA5HAHoGyJNqB3W4Z7/UO8cBH7fi4n1URFc3Ue1tsHNQpvNbBvVUzu2ZLo6VAnxoRJjblcsRw0cfuWwa+kAVYsSBejkkzQf1zh/43ItrTFuWbrgFoFg0iKi2ba1KmJm3QPwGFPdBSECc2OrI4ujpJVlG0lSTvubhdSVRx0TNPUef2CxLPxs4tBbenGS4rvMsdht8eEs2m5L4mqed0Lhkj5Dw3coxkMWE8q6ivmpwKucAamlxXeXrAwTsZyjWsrGgxMZquro83NUb2zQTduTpN/2GN0X6R+tk2aVEbHZ2AfDEiXEzRttnZFJ/YjA+KbD1ukRwU8PeM85Zz4MDymMKqi/gvWxR/UKRy2yR8ZSixQkH9uwFOLYLpmLQI337rOqqSES0kJgG9JU3/aqCZ/K5DfuiZXM9chjWWtC+Yi1vZBkQ4/+o25WpIXs/wlo1ko3PBTKJgy0Z5mripiedSVC4N3SQ3chd312Fwwrzn/oUulVWwJyJapREih/1eiR9cO2eOgLkxWXZqMdZYGr/PebMLdXqC6n2BDCV6OiavmoU1rWj0fETpQptoUiH/SQt36zgndQwY+LG4Oe87BC2DR+9cMMUd+WmF4oUO+VzEfr9Enkk21ls4BzbujmMoLCcNhaTwxEEKzWheM3ghQZcy0oWE8GyMPjVC3S6TlTSdMxZHryiipmA0D/62Q+HzAKtvUbzpU3/hkNG8wg5NagRAZMZZC0DGgrSac+K3HpGvRHhne6TbRbIrdRan26azYCZH/XjMscV4ZDpq0qrCu9glXE5RSqJzQX+3jJwf4/SFweQ3cwP43HAp3XcJJwR5bPSX+bs9/Ae+0W66MLoU4XWNEZCWxpwod02VVkqNVcoobh+3eB3/zZOplOKXAcHs08i58bxa+rOG8qB7SaHrKYP1CvFRQOmBA1rg79lU7wkKaza13yuC0DibLgsXd3n0ux55QVO75uB2JE5PIv+8Dq4R82pbY7WN/MEKcsQxq2xwOsMOBapg+gLHH7aMGFQY70d7zac+1ef05Q3cU32cgXEvKq/aTK0cklwIjalyMyPteNQeKjovwHhGk5SN/6YzMLmb/HfbZJGD42aEKwl/+uVF/DUXb9NltKBJy0DNFBDaFwWinhBNaJyu8RcQuUCVM/RMhL9r8eTBFFJoLD/HshRZzYACnK5FUlMUNo2cRdiKrO+CBCuUlB9JsoJGrIxIpxMuTuwynhEEQcL2lVlDoP2kTGHdJq0p03FgQ9r1UL5meDpFj23KD2zCUzHDRYODAqh96aAc4/+gDj1GoUfpsWTvLUEynRpd2jGePJlJGc8q7J6F/aMK0WJCaU3i79ooByZLQ4SEcSdAZRKrZ0gkViwQ0fHlqiGpasY365x6dR1n36H2mYftZeixRb5TQBx7mY6XzWKYXBrTeHWfxlu7xE2NtTBmeC7h8KiMPTc2/+dcgtz3iFuKcD4nO2WcttyOxYP3V4zqv12gelcgE3iyPsH8pV1ELUFamnDgI7sO/o0AVcoobEmiuzXk0MJ6HFC852H3LbJDH/XiABFZTCx28PeNvjIpaybe3TEFha5Neq9C5Z19xsspcUvh3/M587v3Kb9yBJam+sDkHJWnyVbLvLK0TvqtHlYz5tTsAe7UGOnlDE/k2D+o/vwTVWvI85/u8QzEM7G4WWOwB4aeqwOFjCXDExkT13KCfY0VGSuz7hkjAtUS1ncbvPzaKmDyIeGJhOR0yGhW02gZsaZ3aFG7ZxDT3q2AODTWgW49wj+Ayj2bme9LxqcSw9gXEE3kJPWc8PMmD7YnCXdLxt1em9av7rBAHlvkLghX0bxq0TkrcXomSRxNZyhHk1YMrnt0rQFSk6+WQJkyf1rSWDGGVeZr5L5riLWn+zhehkyg8sDkueKZlHJzdEypMEgk/rSBOnI51TikecXsMEQGpSeSrGTe02bT3Kkr39pFJsbboPxEYllG6/Lx1TPYI+D9Ot6R2R0Ol4z5THm+jxUJxqcSCus2zuyI0qqD07VI3xpguYpkNqX850X8WwGVtYx0MiXcLVFYGJD0PYbLyuCEPneorApjp3jP+CMUNyXOyFjwuTsOowVF4dVD5Cs97t+bRW74RtowtvFXBkQzuTkyCpj/l5L6LVMh5NSIh7sTpDVjB1n7kwKFDdsYNWuIJzJEJpk8cYTWgr29Gju7ddK5xPT4OjnWjkelGBFNaIJyjDMU5EWFFpr/5aUPaX17i3Q+Jm7mBFcLkEiqf3cb5Ros+vqdaRp/7pOFplfX35f4h5pya8RoKSdtpWjXSJmipjmuu22L/FGJYE9y+KSB/c222fXaUHKPIZYlRfnSEYPQw+nYWKEgmlR8cf0knX6BYMsiqZi2r2w6IQs0j/7TM+hPq+Qdj61elWS/gO67aKnpn3kaSTee79x+1lCegfotzLYRXm7u5Ps2298QxHXB0WuK8lLPGLCcHpA2M8pf+Hz+YBktjX7LbjuUvgjwuoLw4xb1zxziiZzRrMCOIDwboSIbZ8clzyXdVxNyF/rLRlaSTGTmmFXMcdsWaVnh3g8QlQTOjPCvBzhDwdnJfcTYYnw5RB64jH7dJOaDQ01hTxBsGXiivy8J5zOUA+LQiECFo2jMdamuYkr802PSekZxU9KY6zLeK5LsFEnLmu45yD2Nc2QT3q3h9k0zu6wnDBc0hW2Lq7dPcPSa0XS5A2EudqnJy4r2gwZO26Lz4TReRxDO5/TOZ8zU+pTuungHFuMZTTRp6BW1OwKOIZD9g9JXHhRxS1EMYsKXx8iVIVHXN3QNoYkb5r2NaxIELJ7eY7RXRDjK7GwLMJrDOGJFpo1IKMgK5iaiLAxoczIh/mGL5G7FmM+cGCEjgb9roa5Wmf+uZvojDZWULBCMpwRuV5J0fLxrBaq3j821S4Lx6QR7LIgnc7wDG2so6QwKSCvHXfMQHYdCJUI8LMCh8VdorzaMzGezRNwyHSMilfz+5otsX5k1HTSPLIYnMqp3bDY/nyWcy/H3Lfy5IUevKuwDU+Fs3smIG4LRoyraz7F6Nq0rkpP/LCIv51/JPawEwpkceyBJcwsV5MhE8ODTJeyxBFfR7RYJ/riC0xd4HYFsxdjNkLzvktTMDVIo0KFF69SRQcYXtfFUuFKlutDD7klKj2wKm//Tc796JhY37SrY9tncreMFKYOXIjOxB5Lk4hhy6HcKOH2LsG0gkeGUxvJy/D3LaIwiCCfMRE0ais7LGfZAojxNOKnw7/t4OzbZXAzbPvah6dsr7B5XO7s2ylM4+w7JdIq9OEI5mtLnAelhQFIzgt1rd5bMmDuuoV2sF3GGgiwQDE7khPMZMhLETfUV6cIOBcG+xt516RyVab+cI5Qg2S3QmO0RTRhqROmRTWFhQOlED5FD9b4gm43RlhHT+keCwueGIFx5rLCGkomFDvXpPsOVDHV5QDx9/HtXM1gZ4fTh7G/f58IL6xTWbXa+P2+MkS/1WXp5i9k3tjnxdx7SuaSo3rLQU7HRriUStCAv5Yw/byE2A5KxS7DmUL9uYR26jFZMv2vnvECMLdY2WzgdC6+YMHgjNJKF832s99ooF9Jm9hUSXbum0T6c1li2ovooJ51MkanA81LyUk40nZN7msGcTe+EBX2Ho0uC8FRMuJxgDU21ejyrKa9BOAGl+hh1ZoQOcmQCtReOjOftnRJJPUfXU8bbJaovHyKmItRShG4kx6w101KmfGMCs7vWNB4OH3gEBwp7aNE/m+N1zc4wXInhWsXs+jEggtGkxfhSiCrnBGsuytP0VwSPf9e0RMUtRTiTUX99H2tkNG/5l1W8PZvsVIh3qm/0i26Oii2W//4DwhlT8c1Di+wgoHLHxu0Ksrf7eGd7CCU42K9AaHDqztDYA44jlzzQOCNN5fHT0J79lJXSZ6Ra+kwsbiKR6JmIZnNI1PNw1zzy+Qjlamwnp7rUQ1imQODXI+OS1BHkQ5v4fAheTrJsDGCilkm22uXjgkQzR3mG0xVP5gR3feyRIdK+/Mv3GM8I8gWzmJYem/I7ShD3fJK5lPGMxhpJ0kZGOGmEwP6eReWBZYi/x4TT/msR2tVfcbPykuLMrz2k8dIBMjb9sMV1gb3rUlizkRn4BxbjT1vGaKVk+GHjnRKWVCZp/J0O3mOf8mNBFmiyANIKFC+3OfzdkMYNweFRmcGdBpfOr+N8VgZb4x0K01a1XsTram599wy37s8zXkmpPDZH4fxemUer03THAddvLON2JN2XU2q1EWIqRjoKpxbh1mJEBlk1w13zsGIYLpnGfyxzEWdLEVMnDyned2FlhLpbwi8k2KEgeVDBd1NTyBAwcXH/LxFEu8aFSu35tF+wmJ1vkwcK/WEdOTbAAudC32CnWmbntvTGJv5jj+o11xzVWib/lRYF8VRGmlpY94qQCRZ/dY2SFxN4Cc4ArFYMfRt7IKn7IWIzwHrk4z72GV+IqC70yJ+UKKzbZPWMYMsmmtAcvZ4RtiRyaYR2FeLNLuWHFo6fkXvGDBthdmTdcxo1cvC3HHJX4x1aqLND8pJCVlKKG/KrYoXyjTwnmslIFhPysY1j5abCmknIBV9+cgoElDYEIjRm0QAyh3C/wPCogDsxRoxtims2MjG53+JDh2y7gBUb6OreN57CgqNBa/VTPZ6FeCYWNzCcrOGnLZxDh6SqOT23T1ZR6Dsluntl9MgmLyn87xupQFLW4Bpqh+w6xkRl10XPR+h6SvX9ALcnsSoGIpk3Uy6dX8cdQPmJRq+MuXL1NLkH9e/7ZnsvobipEaGF9A3VtXSug1gYM/mhTdIwpiPKBmdo8ihZyQiK9djG37WZ+ZHB22Arbl5ZIfyzSaLZjKSmUC6mgLGY4R9qck+T1I1gWcaSwr5GRoJup0jljPH8dHsQTYIzP6L6yFw0SWaj1wooG/TQpn4bHv+LFewhOHsOpV/dw+4bD9hwShCvRAg/p9AYs/+maQZXtuHzp7mZMMGu2Y20Dyqorot/KyAduqShQ3Q64uzpbbStGc8Zw5wf+4ue/c4D/FsBu2tNtADnmkn6hTvm33w2Zu9Ri5nLuyA1e/tVY9i8FVD6lT28rsYeCkQKO3s1hBKMZxS0YtwjizhyyH1N48UDStd8Hm5OfIV00haU1xTBrqFf2F2LNDZHVH/T4ckPF3myMUF7u2qsBDcD7KFk7rVtHu5OmEXEMU380tb0BwHBGaMtlGPTJqdcDbkgLYHKJXJkMTwsklRB3i+SB5o8Mb27wzMJYjrCb4ZU39hHOSa1oHILtx4hdnyiCU04l8N/NmFEufUYa2iZ6mYs6a1XjcD6yDGniVaKNZL0T5tFL2tm9M9nJK8OKc8OqE8OkNfKaEszOpPgDAVu71jGtDRALYaMlszx96nE8/arny1kbMgH0WxKVjBvzOafLGH3JHErp/algz2wcI8shvMaUU9IGwp736V028WKBCo1eJ7CFwHeE4/OeXOMDIIEu5gyMdXj9uYM3YsZ3fOg1wtMXJEE+5rhvKB4okfjWzu0/t11Zs7uG7KCFizVOjSqIw5fNgWHcFLQfHOXwzdzspaxIixsWViVhPzckPY5m+kX9hGuQi6MGCwrZChRgWZw0lAeyjMDeu9EJHMJwa40zlJTIblrFh33iU90pYn7xKewq4gWEpwrZY5eNGa/6e0KXlfQO2vcldoXzWI/WjC71u4nU4gc4nmzk5UHLtLSjPtm12qPobAriEOHJLGMg7sDzU9thK2Y/JFgvJTh7jhoJWDo8PjDRYJdgSplFE93cTvGPPvqw0XGixmFNZNrHJ9IsWJB5b4xvp5s9dFCs7lXR/Zt6DnoXBjU9u0J+t8MSeZSwoWMb5xZRRczSmsS90FAVtboHZ+8oNhfbRJNasrVkMKazWheY8WC8bSke9n0YGb1DN03De1CQTyb4uwab8880GTNFCsRhok2Nv3CMjZuXXlo4fkpjpXjHwqKG5Lq/WN5iKvQNlirgcE/dWyiyYysoAl2JIX7nino3HeRTwLSJyXaX06QVXLSRkYeWai1InnRdKmIRLD3t4zbm2Xn2GNBsR5iDyT2UGL3LJRvaMDV+ojSumDm9AEilZTum+o/q0UGh0X69+tYqemeKT5wGS5nlNe0aTnbKuH7Kd6h9dW8+rlC6+fWfj9rCIyiPthw8GdHxtzl7Q7BnqC8atN/OzSk2apCACq00YUMFkJGlyKCfUFrYoAOctIiZAXNyuUt4oZmuFNCKUH7bpPC5wGzy4dkrRSZwcGrmqgl0FIz2C+xc3Wa9e8tcfTJNHYowMu5vjbHdHGAmIqo3ZIoW3N0ZQqvEeJvuBQ3zF1btT3kvRLhpKL/Z9PosY3Kja+lFQrK9y0mrkjKT2CiNMLxMsgNP795okO+E5CWwD+QNO4oojMRtQeK4ZzxOBidyMnKivFKSn7CgBq1MMfD0rogaeak0wna0jRv5tTugrfpkhcVEy8c4DwIcHZMr6JyIS0APQfPyyg/tohamva7CQwcDr4T0/zcMu5JUuNNjpl5c8e0DB05Bh3+Wg+rZyMsjdu2iC6EZkcCVJ4ooiY402P2tup4BzaF2wa/rssZzrpHsGWTl3P0rm+Yb8CHD08iRjbDJUXSMEdzpy+RldRUyYHoZu2YygzlNw5MpXXNwR4IvHqEtozch5f6VG64lC62jVNaKIwuUWOkQV2b/rmUeDYlnk7xN13q/3WJ6KMWg4tGR9k/CWlV0fjUIZpPDFD0ZGS4gc0Ir21SEsmlMTIThFOKbDbBSoCVEYUNm9YnNlbHRiyMEcWMpffWqJzs4j/wKD8R6PslWm/uMjoqkLYyvI6guGmKKU7HYhyZJKVr5XizI6KmRobSdI0cOqhAMzybkBVhfCHCO7TonYbWFQtRT8huVMkCjXf0FDDj8Lyg8LOGbKRm9+VAtF0ka6YMtiokNYxVnDKkCTQUNwVWMaVUC1G7Pu4Tn9Gs5nCzRrE1xopNxXD1yZSpVGqBCm3ctqT6JKf7wTT2oSka6HJGcn6McqDxuU3WzAgOzV0/mlQU7nu4Tzxubs4SBAndC0YCUdqAZOySnAqNtq1qgI7FLY1/KIlrGrwcvW/c63+c1O2fEPTOaZ7sNPF/WMY+dPC3HZLvtbBDwehsgn+oOXhJoCOLg+/ECA21u4Jg00KOjT9q8GVA6Td3jVGNA9GERiYSe8/FGUo6p80FDkZis/ukSWlNH6PDJeGZGDuC0mNzwY+njiUmI9v0bN4McEaa6gOBtefi/rDM3kezZAGU1szfKRx52CE4ax6FHWF2usUMObbYf9PQYdO9ABFJslMho+XM/A0ziT41xhmC0zb9pmorQCRm9203I4OBqifUbhptnlaC4pbZ7clMIJTJb3VutVDVlKSmSeZSpNTIYoouZSRrJUZvjunsl6nctSltClDmCGoNLZzlIf62WewundsgmsrY+c2UaFJRqo+xR8bJ3ulJhovmCI4Aeegy8anEullivJgxnlcsTx2RFYzFpLPhksyk5NsFrNjs9IubkvofFah/6HH/5jz9vvHjSCpQuw9716cgExQeOUa35kLzZk5ay3lhZofemxFrd6aJxw7K1eiWMdKee2UHeyCNwPlchLPhkVSN/0VSFdSqI9zLHbLJFPul7lOZq1qpn+rxLMQzsbglsU35sSaeNZogUkmwZeG1TXuQHtuoAx93akxwqFAdDz6sMXXFLGQTF/eNL+ZmidHphLyosI8cilsCaySxj2zU5QGHl8xuJKtmzM61IRVUvx8gT4wIJwWVWw7tl3LiiRx///ji7gsKXwQUfq+KSE0VK64L45kQJOTTsWnPGQs678aEc8bEo3TLo3nN+HJWHkrCCdMupnyF2PWxYg2LIflZc3S1z/U5f2KbzqvGCtDbtbHXfJQD7dcyrDc7xqW9Y5PUNDt3J3H8DP9sjyyA6kqHfDohms4YL2UkrZzlb66RzRi3sKglEEDy0oj5mbZRttsw3ClhRwJnBKKSsHJpC/9A0ztpJrVyjAt641ZONKnoXsxIqwr3sY9yjft6+bd38DqC6hUPe2aMdg1PzBpLyg8tvJsBxckR1uMA6WdYd4u4A03ayJCXe+ipmIuX1/DWPYo/KGIPBbX6iM5Lhq4c3DWVRq9tGtS9tjjOkZp8WDaRULrt0vgvighLH+PUBfnIwSkljGc0vXOmsBS+FJJXchwnIzkVIocWNx7Mm+tkx0UVcoadgjHSaWbUXz74y/fqlZDGuSO0OG7Vcg0GfvODBSa+MDzBdCFBhEZ4PH41JHwhZPBKxNFLmqwoKC4MKNwIyAqml/XgWwaeCcbdXktN9NqIoxcs3EbEg6MJgmJsXM1KRofnPfQp7Ao2D2uktRyRC145sX5Mx5HopZDBSxHdXpHfWrpF8MhFflB7CjP1p9y1Pd+5/WXYA8HB2zlWz8I9sMAzlcP+6RxrZozbiLBCQbZeZPebpnqpHBgsSrLlCN82zHh7IsLZd6jetslKOVHTwBEB0tg0yHtHZoHYftSi+MihfTkn2y6Qlg2tVmSCYNsySf82DM8nhJOmv7OwK7Fs09WQLMVEoUvxlk84nzKeUfjFBIoZlqWQKRy8k8FETO+0IqlrBstQWLfJizlWBHlikXY9tKcIt0vcvbFA9brD6ExCspiQTKeM53OaV2yiOzWSqsY+NSCdj5k+t4/aChhtlVGBIv5Rk8XZI5xqDJY5utx7MAt9B2/bFGmcviCLbdrvzyDf6BJOKWq3DaI7d0DFFg83Jqk+TgjnMrKywmtLkoqmc9ZCe4rSE5vaXUFxWxt0Tylm56hKcGi6LZKeh0gk4+UUOxT0L8eMlzKsD6oGz7TlE01nHH4zoTXbI4kdrC2fx/9ihXQlpPtqQlrW9HoF3APjumWPTVElWkwITyQMl8zOwB4Liqsu5ZueOUYuW+R9l2IjpHi+g1VMmagNTQXWz6mc7lCvGnKy+rhO6fMAayZEhBaFHSMOP3PKdAjYx34YR92S8Xp1NN69gPwPWvTOmA6U+mcOWWByxYMlycSPLPTYwulIvI5gYbJNUEyQBy5aQvU7O4y2y5R+ZY/h+QQtISgbhqDIzQ3S6UtqlTFJVZN0PcZPKkTrZeyxwP+TCiIXZkc4pVGJZTo7PM31H542xuENRTa2CUrmpPP7D19EuZrJ39r4+SfqL1jj/DOxuGVlzaXz65x7bQ11MkQMbKwIRCNBrBbRJpdP3shw2pLyIyjsajMhI5utwxr2lgdPCsZD8u0xds34doocCnsC3XEpLPVNH+FQUJkdENc1SFDFnKyc4wygescimlDUZvr0Tyq8TRc1F5FNmeQ8awXipqZQiZDbPrzdRfg5OsgJDwoU7nr4H5XoX0wpPnS4tLhN82TbMP5XRowXM2QsGc0Kpv7UQUaS0tQQGRvV/eCkolgLTZvZnoN2Te4HYRrWo6FH4bZP8l9P4R1JRC0xLvITip1PZ8gziVuJqax0QR/z3hKMePT1Lv5Dz+CgQheRC0bfGJJcGJvJnEksN+fgJY/GFxba1iz/6hMW39408IGuyc3FdUH3vMYeCUYDn+DzAmFLGMTUbQcd5LQ+tnGGYB+4lO/b2KE57uczMc0vLIJVj9EnLYofF7BPDRhPK3TfhVTiH0p0LkkXY5QD41lN3MgRoUXw2BSQ0pLpn43r2mCPFocMzqRMLbaZq/ZIPmmQDx32v5wCC6yeTfRpk8ODMpWJIePzpivB+6KI1YzR3+jiHwke3DWopKShIBfMtbqkrQy3a/JccV2QNHLKrx/wK//wE4LlAa2PbaKGpvsbI6yRqVILZWwQrR9UkcdeqjU/xG6G7B9VOH9im7yZEm6WUYsRtcUu1sUe0UJK+3aLvJwjPIWYMmSZpKYYLoF1uWeIxMtD7G0X7wiK6wKWx2Rv943Qe2ATrZcpfR6Q3S+jz45YfTDzc89TDeg8/6kez0I8E4ubtBW3Nma4uzXNVKPPyRe2GS9m6LZLMpuSdn0AxNAiX4nICoKjVxTilR7YiuDjItlcjBWbI0pQiLHvFbBHgsZ3tumfSxFKkH9RQwUKrwvZJ3VkDrgKq2eDpRktKAYnTdtUb7OKOz8iOxWiM2lac1YGyASy2Rj7L6q4HcFovUK9McQqZnjNEO/dQ2MBNzBgybvfX6Fzp0lhV1D8oETpkc3E2UOiCcVoWqLrKcOjAs5A0rpiUb0nsL5v+gD9I0GwZiCKtUuH5OdHeMWE5OUh7UumM0P1HbJqTmXVCELtdR+tYXC/jiylyPjYlLeqSBLb5JwicG4V0FJT+KhE8EWB4EAbjeauj5YYqkk55e7NBR5fnaO0Lo/dpHKSssbpSbg0oNUcMDidETdMrid8c4Rz4CAUDC4k5IEimtC0X8kI5zL8+z7O0HR0qEsDBq+HqNtlvLY0wttQUnzzEGvPRY9sSmc76LmI0ppFsGmABQuvb+HNGqf6vGRuVsGflfH2bPYfNbn/ZBpnCMVHDvLECBmaxSWpKso3PVqlEecWd/Ff6KLe6nFy+oDXZjZIXh0iqgkyFtgDidO2WFud5NVzj7Eu90irmuK2BkcRpzYfHywThS7aguK2IM8sTr26TrhiCL9TjT7JOwOCPYEuZzz5gxXy7QJCau5/sWhgAonAeuITfdJk3PexiqkhqGjQkYVzv0ChGCNmIwMysAxOfqnZMUgkF4bLGvGwgHWlgtc2i7Aq5vQvJnBijH5YREZPYapr/T8MqPwZYZVCiO8IIe4JIVaFEP/Rzz/A/248G4ub0Ki+g3MvYO/LKbr/+TzNLywjij10jBN7LEw+bsej8Z1tkBBHLvaBy2BFYe15huevBPkndXLP9Or1I4/SqmNEsRb4uzbdFzL8Iw0KxMAmr2XIQsaJl7dQrYTpjxVyLCn4MZad42y66OsViv+iTDxpXL2HS6a5WjRi5ip98p5D3A7o9YuML4eoWoa2ze7CWR7S/J1N1K93EDnsbdewZkLC18YE9z2srjkyty9pwglBVgS/mBj/UQV5oDjYq5IOXdS9EsHHJVQhJ6hG4Cu8fQsrNjup3AX3agk9HVG4ZqCQKtBoX8GDotGDhRAupeipmN5LpighM43Ts4x36rFPpns3MBrBkmL89gg7FNhDi3QxNu1XewU6N1oErbHBqx9I9JoRjnbPgPRyvCOLyZf3KLTGyFASTef0/u6Q9lsJ9hdlHC+j/IpJyLtbDlYoONyvkE+bXGF3p4LcMAtueC5CZIL9fzlvPEfdHLsRGXLwv9UmqSnK831qrSH9sznhtKLyJ0UDYNiXMBMzXM4ZJS5KC0arVfisyna/wiD1jCF2LlBzEcUNgcygfsPi5vunGR0V8I7zm86+w2jks7M6QeGLgKPXcgYnjAn1vYezVG64RA3Nzn6NJLIZvBQhbMVwKcftSdgKyIsKYgs1GZMVNfGE6fktflLADoVhzLkKewjJ7SqljwooC+O6pgXrHyxiRcfFpBgqDzHuYgqCfYm341B4aHSK1ukhyn06SX6t9E/1+B8LIYQF/D+A3wAuAP+OEOLCUxnkcTwTi5sa2sjY5FbKTyAtC45eyfnm5btk5Zys7ZOfHmMNLGQqWNtoQSaYavbIysYGLpswCCE5MOrvYE9ghZB+0CQtAbnAf7mNsjXWWJKWBe5AUNwyeOfC9YDt7y7gPfQ5umBMncMrLZKeh9c2Fc/uWTPe4bIyTfC5yVPduLtgOhNsRd53kJZm8i8cgj2JFWTMN7oM/vM5Rg+rJr/iGr5cvTpifCrh3//2B7hzI8R0RPDaEbkHvpsa/4IUrMj4N/zGSzfI/ePcYCxxPqxgHzjIVNC5qPF6oKcjrBjsNZ+0hBEyDyRWz6byyIhK3b5Juge3Avw1Y5LTPStZen3T8O/Oj7E2fHJXIyKJHEu8q0WSqiKfiilWImQsoJyifOMx4fQkwYEma6V4R8fWhT8KkDFsrTWxPqxizYzRpYxot8jsTIfoUkiW2vSvNeHEGPtCn6U3N/HXXawdD5FK7K6FXBkak2thel9HlyKDjtfgfV4kOR3y7618yvzZffq7ZUa36ohE0Dx9RO/XR+Rl48qFMJNuGHncX5+meMrsxgpuyvUPTxt6cTGh9GnA6L0hyobOiznOUOAc2oyHHoNlyCoK93YAQPLmAJzj4+OOD5k47jhRSEtTvhIYA/HPfLAg9zVIjXtoIXKB42dY02Mmzx4QPHSJ3hnSenUP716A7NmM58yClX6rR/7ikNlKn+qXLv4hOCOwTg4pXm7TOw3K0wQHRmSupaa0aW7gE5Uh1vgpTfWnt3N7A1jVWj/SWifAfwn87aczSBNCPwOVDSHEALj3dY/jZ4gWcPh1D+KnjF+kscIv1nh/kcYKsKS1nvg3/WYhxL/E/M4/TfhA9BPP/7HW+h//xP/194DvaK3/4fHzfx94U2v9H/ybju9fjWeCxAvc01q/9nUP4qcNIcRnvyjj/UUaK/xijfcXaaxPI7TW3/m6x/CzxDNxLH0ez+N5/E8utoCFn3g+f/zaU4vni9vzeB7P4+uIT4HTQogTQggX+LeBP3iaP+BZOZb+4//xL3mm4hdpvL9IY4VfrPH+Io31mQqtdSaE+A+APwEs4J9orW89zZ/xTBQUnsfzeB7P42nH82Pp83gez+NvZDxf3J7H83gefyPja1/c/qpbMP4NxvNPhBD7QoibP/FaQwjxZ0KIB8f/1o9fF0KI//vx2K8LIV75Gsa7IIR4XwhxWwhxSwjxHz6rYxZC+EKIK0KIa8dj/T8dv35CCPHJ8Zj+q+MEM0II7/j56vHnl/+6xvoTY7aEEFeFEH/4rI/1efx342td3P46WjD+DeL/A/yrep7/CPie1vo08L3j52DGffr48b8C/pO/pjH+ZGTA/05rfQF4C/jfHL+Hz+KYY+BbWuvLwEvAd4QQbwH/Z+A/1lqfAjrAPzj++n8AdI5f/4+Pv+6vO/5D4M5PPH+Wx/o8fjK01l/bA3gb+JOfeP6PgH/0dY7peBzLwM2feH4PmDn+eAYjOgb4fwH/zr/u677Gsf83wLef9TEDBeAL4E2Myt/+V68JTCXt7eOP7eOvE3+NY5zH3Bi+BfwhBk7zTI71+eP///F1H0vngJ8ETW0ev/asxZTWeuf4411g6vjjZ2r8x0ehl4FPeEbHfHzM+xLYB/4MeAh0tdY/dg3+yfF8Ndbjz/eA5l/XWIH/K/C/B37cLNnk2R3r8/hX4ute3H7hQptb8zOnnxFClIB/Dvxvtdb9n/zcszRmrXWutX4Jsyt6Azj39Y7oXx9CiN8C9rXWn3/dY3ke/2bxdS9uf+UtGE8p9oQQMwDH/+4fv/5MjF8I4WAWtn+qtf6945ef6TFrrbvA+5ijXU0I8WNB+U+O56uxHn++Chz9NQ3xXeB3hBBPMMSKbwH/t2d0rM/jXxNf9+L2V96C8ZTiD4C/f/zx38fktX78+v/8uAL5FtD7iaPgX0sIIQTw/wbuaK3/Lz/xqWduzEKICSFE7fjjAJMbvINZ5P7ef89Yf/w7/D3gz493oX/lobX+R1rrea31Mua6/HOt9f/sWRzr8/jvia876Qf8JnAfk3v5PzwD4/kvgB0gxeRU/gEmd/I94AHwXaBx/LUCU+19CNwAXvsaxvsNzJHzOvDl8eM3n8UxAy8CV4/HehP4Px6/vgJcAVaBfwZ4x6/7x89Xjz+/8jVdE78M/OEvwlifP/7y8bz96nk8j+fxNzK+7mPp83gez+N5/JXE88XteTyP5/E3Mp4vbs/jeTyPv5HxfHF7Hs/jefyNjOeL2/N4Hs/jb2Q8X9yex/N4Hn8j4/ni9jyex/P4Gxn/P7jfVXQed9+kAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(X=data_set)\n", "plt.colorbar()\n", "plt.title( \"2-D Heat Map\" )\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "3f92d2dd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(X=data_set, cmap='gray')\n", "plt.colorbar()\n", "plt.title( \"2-D Heat Map\" )\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "c61632b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(X=data_set, cmap='coolwarm', interpolation='nearest')\n", "plt.colorbar()\n", "plt.title( \"2-D Heat Map\" )\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "id": "148e185e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(X=data_set, cmap='coolwarm', interpolation='bicubic')\n", "plt.colorbar()\n", "plt.title( \"2-D Heat Map\" )\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "id": "fb556a23", "metadata": {}, "outputs": [ { "ename": "AttributeError", "evalue": "shape", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/var/folders/1t/g3ylw8h50cjdqmk5d6jh1qmm0000gn/T/ipykernel_37453/3336010265.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0;34m\"2-D Heat Map\"\u001b[0m \u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m \u001b[0mgrey_img\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/PIL/Image.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 544\u001b[0m )\n\u001b[1;32m 545\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_category\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 546\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mAttributeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 547\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 548\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mproperty\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAttributeError\u001b[0m: shape" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from PIL import Image\n", "rgb_img = Image.open(\"datasets/speech.jpg\")\n", "grey_img = rgb_img.convert('L')\n", "rgb_img_array = np.array(grey_img)\n", "\n", "plt.imshow(X=rgb_img_array, cmap='gray')\n", "plt.colorbar()\n", "plt.title( \"2-D Heat Map\" )\n", "#grey_img.shape\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "438b7f81", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "66ef7a33", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4932f79d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8a832348", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "decfffa4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0bbfb2df", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6f4016ae", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "c1e4ba1c", "metadata": {}, "source": [ "## 5. Creating Multiple Plots (Sub-Plots) within a Figure\n", "- A single matplotlib figure object may contain multiple subplots (axes objects) organized in a grid. You can use any of the three ways to do it:\n", " - `plt.subplot()`\n", " - `fig.add_subplot()`\n", " - `plt.subplots()`\n", "- The best option is use the `plt.subplots()` method, and specify the number of rows and columns as shown below:\n", "```\n", "fig, = plt.subplots(rows, cols)\n", "```\n", "- Where rows and cols are integers that control the subplot layout. The `` needs to have dimensions that correspond to rows and cols.\n", "- Since `plt.subplots()` method unlike the other two methods return an array of axes, so you can access different axes objects using following two ways:\n", " - You receive all the axes objects in one variable and later treat it as an array. In this case the first row has an index of zero and the first column has an index of one.\n", " - Other option is you receive all the axes objects in tuples with one tuple for each row in the grid.\n", " The index of the subplot you want to draw on, starts from 1, then left to right, and top to bottom\n", "- **Note** that pyplot keeps track of the currently active subplot (which you can get a reference to by calling `plt.gca()`), so when you call the `plot` function, it draws on the *active* subplot.\n", "\n", " \n", " \n", "If a 2 row by 2 column array of plots is created, the must to be arrayed as shown below:\n", " \n", "```\n", "fig, ( (ax1,ax2), (ax3,ax4) ) = plt.subplots(2,2)\n", "```\n", " \n", "If a 2 row by 3 column array of plots is created, the must be arrayed to correspond to these dimensions:\n", "```\n", "fig, ( (ax1,ax2,a3), (ax4,ax5,ax6) ) = plt.subplots(2, 3) \n", "```\n" ] }, { "cell_type": "markdown", "id": "a052c7d5", "metadata": {}, "source": [ "**Option 1: `plt.subplot()`**" ] }, { "cell_type": "code", "execution_count": 26, "id": "a7b3e887", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The third argument of the `plt.subplot()` method mentions the specific axes object to create in the grid\n", "# It starts from 1, then left to right, and top to bottom\n", "fig = plt.figure()\n", "ax1=plt.subplot(2,2,1)\n", "ax2=plt.subplot(2,2,2)\n", "ax3=plt.subplot(2,2,3)\n", "ax4=plt.subplot(2,2,4)" ] }, { "cell_type": "markdown", "id": "9b4fd38b", "metadata": {}, "source": [ "**Option 2: `fig.add_subplot()`**" ] }, { "cell_type": "code", "execution_count": 27, "id": "b1ccb7c5", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The third argument of the `fig.add_subplot()` method mentions the specific axes object to create in the grid\n", "# It starts from 1, then left to right, and top to bottom\n", "fig = plt.figure()\n", "ax1=fig.add_subplot(2,2,1)\n", "ax2=fig.add_subplot(2,2,2)\n", "ax3=fig.add_subplot(2,2,3)\n", "ax4=fig.add_subplot(2,2,4)" ] }, { "cell_type": "markdown", "id": "72d22b1b", "metadata": {}, "source": [ "**Option 3: `plt.subplots()`**" ] }, { "cell_type": "code", "execution_count": 28, "id": "8dd807f3", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# There is no third argument to `plt.subplots()` method, as it creates all axes objects in just one line\n", "# and return all the axes objects which you can receive in either an array or tupples\n", "fig,ax = plt.subplots(2,2)\n", "#Now you can access the subplots using subscript operator e.g., ax[0][0], ax[0][1], ax[1][0], and ax[1][1]" ] }, { "cell_type": "code", "execution_count": 29, "id": "94d3d7eb", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# There is no third argument to `plt.subplots()` method, as it creates all axes objects in just one line\n", "# and return all the axes objects which you can receive in either an array or tupples\n", "fig,((ax1,ax2),(ax3,ax4)) = plt.subplots(2,2)\n", "#Now you can access the subplots using the names ax1, ax2, ax3, ax4" ] }, { "cell_type": "code", "execution_count": null, "id": "2581cd29", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c2897aca", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3b4079a1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "d66ce216", "metadata": {}, "source": [ ">**We will be using the `plt.subplots()` method to create subplots**\n", "\n", ">**So lets do a bit of more practice**" ] }, { "cell_type": "code", "execution_count": 30, "id": "d0b0ec90", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()" ] }, { "cell_type": "code", "execution_count": 31, "id": "a5832dd0", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(nrows=1,ncols=2)" ] }, { "cell_type": "code", "execution_count": 32, "id": "aaf6ac16", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(nrows=2,ncols=1)" ] }, { "cell_type": "code", "execution_count": 33, "id": "16651337", "metadata": {}, "outputs": [ { "data": { "image/png": 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l5nqZ2V5WrpeZ7WXkep7Z9lcrSFITftJWkpqw8CWpCQtfkpqw8CWpCQtfkpqw8CWpCQtfkpr4HzlWinKvBE8MAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(nrows=1,ncols=2)" ] }, { "cell_type": "code", "execution_count": 34, "id": "c5323be1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ((ax1,ax2), (ax3,ax4)) = plt.subplots(nrows=2,ncols=2)" ] }, { "cell_type": "code", "execution_count": 35, "id": "60e05554", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ( (ax1,ax2,ax3), (ax4,ax5,ax6) ) = plt.subplots(2, 3) " ] }, { "cell_type": "code", "execution_count": 36, "id": "79be29c5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ( (ax1,ax2), (ax3, ax4), (ax5,ax6) ) = plt.subplots(3, 2) " ] }, { "cell_type": "code", "execution_count": 37, "id": "9f881ea6", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Another way is to receive all the axes in a single variable and later use it as an array of axes\n", "fig, ax = plt.subplots(3, 3) " ] }, { "cell_type": "markdown", "id": "bd47d6fa", "metadata": {}, "source": [ ">- In above grid, `ax[0][2]` will represent the right most axes in the zeroth row\n", ">- In above grid, `ax[1][1]` will represent the middle axes object in below grid" ] }, { "cell_type": "code", "execution_count": null, "id": "58ac5f97", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "10aa1548", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "aa0f70cd", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0d782c28", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "757d7055", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "324df462", "metadata": {}, "source": [ "**Example 1:**" ] }, { "cell_type": "code", "execution_count": 38, "id": "878b2aef", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1. , -0.93103448, -0.86206897, -0.79310345, -0.72413793,\n", " -0.65517241, -0.5862069 , -0.51724138, -0.44827586, -0.37931034,\n", " -0.31034483, -0.24137931, -0.17241379, -0.10344828, -0.03448276,\n", " 0.03448276, 0.10344828, 0.17241379, 0.24137931, 0.31034483,\n", " 0.37931034, 0.44827586, 0.51724138, 0.5862069 , 0.65517241,\n", " 0.72413793, 0.79310345, 0.86206897, 0.93103448, 1. ])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "x = np.linspace(-1, 1, 30)\n", "x" ] }, { "cell_type": "code", "execution_count": 39, "id": "80ed2161", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1, 30)\n", "\n", "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2)\n", "ax1.plot(x,x) # 1st subplot = top left\n", "ax2.plot(x, x**2) # 2nd subplot = top right\n", "ax3.plot(x,x**3) # 3rd subplot = bottom left\n", "ax4.plot(x,x**4) # 4th subplot = bottom right\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "cd1bbdf3", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(-1, 1, 30)\n", "\n", "fig, ax = plt.subplots(2, 2)\n", "ax[0][0].plot(x,x) # 1st subplot = top left\n", "ax[0][1].plot(x, x**2) # 2nd subplot = top right\n", "ax[1][0].plot(x,x**3) # 3rd subplot = bottom left\n", "ax[1][1].plot(x,x**4) # 4th subplot = bottom right\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "43c4168a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "5d94d99c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e5b61e81", "metadata": {}, "source": [ "**Example 2:**" ] }, { "cell_type": "code", "execution_count": 40, "id": "445f3ce3", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "chemical_exports = [0.810, 0.831, 0.895, 0.91, 0.915, 0.926, 0.945, 0.931, 0.919, 0.921, 0.920, 0.919]\n", "years = [2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021]\n", "medicine_exports = [0.791, 0.818, 0.832, 0.816, 0.840, 0.833, 0.835, 0.838, 0.842, 0.910, 0.930, 0.940]\n", "\n", "\n", "fig, (ax1,ax2) = plt.subplots(nrows=2, ncols=1)\n", "\n", "ax1.plot(years, chemical_exports, label='Chemicals', marker='o', c='b', ls='-', lw=2) \n", "ax2.plot(years, medicine_exports, label='Medicines', marker='x', c='r', ls=':', lw=2) \n", "\n", "#Note the use of `set_`\n", "ax1.set_title(\"LCI Chemical exports in last 12 years\")\n", "ax1.set_xlabel(\"Years\")\n", "ax1.set_ylabel(\"Amount (Million Rs.)\")\n", "\n", "\n", "ax2.set_title(\"LCI Medicine exports in last 12 years\")\n", "ax2.set_xlabel(\"Years\")\n", "ax2.set_ylabel(\"Amount (Million Rs.)\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "b97fff20", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2b367fa5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7f680a32", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "242f6bc9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "034358c8", "metadata": {}, "source": [ "**Example 3:**" ] }, { "cell_type": "code", "execution_count": 2, "id": "03d08699", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# geerating random values withing range from a univariate “normal” (Gaussian) distribution of mean 0 and variance 1.\n", "data = np.random.randn(2000)\n", "\n", "fig, ax = plt.subplots(nrows=2, ncols=2)\n", "\n", "# use axes object to plot histograms in subplots, for example plot histrogram on 0th row, 0th column\n", "ax[0][0].hist(data, bins=30)\n", "ax[0][0].set_title(\"set bins=30\")\n", "\n", "# plot histrogram on 0th row, 1st column, by setting density to true which normalized the histogram\n", "ax[0][1].hist(data, density=True, color=\"r\")\n", "ax[0][1].set_title(\"normalized\")\n", "\n", "# plot histrogram on 1st row, 0th column,\n", "ax[1][0].hist(data, color=\"orange\")\n", "ax[1][0].set_title(\"set color as Oranges\")\n", "\n", "# plot histrogram on 1st row, 1st column, by setting histogram type as step\n", "ax[1][1].hist(data, histtype='step')\n", "ax[1][1].set_title(\"step\")\n", "\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "61dda086", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "300a946c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "544db123", "metadata": {}, "source": [ "**Example 4:**" ] }, { "cell_type": "code", "execution_count": 1, "id": "c4c68a0d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "# import iris dataset and display in dataframe\n", "df_iris = sns.load_dataset('iris')\n", "\n", "fig, axes = plt.subplots(nrows=2, ncols=2, dpi=100)\n", "\n", "\n", "# draw line plot on iris data (between dataframe index and sepal_length column)\n", "axes[0][0].plot(df_iris.index, df_iris['sepal_length'], color='r')\n", "axes[0][0].grid(True)\n", "axes[0][0].set_facecolor('#FAEBD7')\n", "\n", "\n", "# draw bar-plot on iris data (between dataframe index and sepal_length column)\n", "axes[0][1].bar(df_iris.index, df_iris['sepal_length'])\n", "\n", "\n", "# draw scatter-plot on iris data (between sepal_length and sepal_width column)\n", "axes[1][0].scatter(df_iris['sepal_width'], df_iris['sepal_length'], color='orange')\n", "axes[1][0].grid(True)\n", "axes[1][0].set_facecolor('#BDEFE9')\n", "\n", "\n", "# draw histogram-plot on iris data (on sepal_length column)\n", "axes[1][1].hist(df_iris['sepal_length'], bins=20, density=True, histtype='bar', alpha=0.3, \n", " color='green', edgecolor='black')\n", "axes[1][1].grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "7255001a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8ed81d86", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 4, "id": "2b417f8d", "metadata": {}, "outputs": [ { "data": { "image/png": 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c5YL7vN0e8Q6TJtlj/dd/2eWg6Qb33H/cOXvngSBIs09ixn/+eWvxgIywv+iijAPfu+9Gj0dRFCVHVNhXIknm7B9/3L6CyEXYG5PR5D/0IfseZ87e/UBQqLztUQ85TU22yp0TOx8l7Jua7CtK2I8cCdtsYz93dWUn1HFIYsYfOzazr7Nt/Hg46ij72ZW1T6kvVDtWSoEK+0okrmbf0wMf/ah9BQlFt0YbNzHP4sV23juVgg98wK6LI+zdbQql2UeN2QmDc2Ln3Qlx3MmJ3M55EG3GHz8+k+8gSrMPEvZ9fZn1ra2Dc+W3tGQq9JVI2IvIZSJiPK9XI/b5pIi8KiKbReRFETk+rH0t4Jj6g6YBKoVKGotS2aiwr0TiCvuuruyXH7lo9o5Wv+eeMGaM/RzHjO9uUyDhJXE0e8ho9u7r4CS9gcHCPkqzHz8+87DgnrP30+yDzPjusQwbNjhZUmtryYV9mgXABNfr8KCGInIYcBfwG2B/4F7gXhHZu/jDVBSlUKiwr0TiOui5BUyQUMxF2Dvz9fvtF20ed+NuUyjhlVTYu3GfbzE0+ygHPceEL2KtAGGafWnn7PuMMStdrzDPzW8ADxtjrjHGvGKMuQR4HvhaMQZWbK92v5jzYmWIi1qvWnkGvRbFR4V9JeKn2b/3ntW0v/51/3aFNOM7mv2++2bM42XS7GMLe78UuO5wO0fwF1KzjzLjO5r9sGFW4Idp9vPnw8472wp5xWdXEVkuIm+JyJ0iskNI20OBv3nWPZJe74uIDBGREc4LW9ZaUZQyosK+EvET9s8+C6+8Avfck1lXyZp9oTTVuMK+qQmmTBm83XnA+de/7PtOO9n3OMI+rmbvNuM7aXi3bMlo9k64nlfYt7TAuHH289q18PbbcOed4ePKn6eAs4FjgfOAnYDHRCRIII8HvF/mu+n1QcwEOlyvpXmMt6Q57nMJy4ujxYe1i7u90PuVmmoZZ62iwr4S8RP2Ti13d9y2W9gHeesnFfYdHVbowGDNPiopTznN+ACf/ezg7U6629tvt8uf+5x9jzLjjxvnr9lHxdm7Pe4dzd7px2vGd2v2DkuXFi4hkQ/GmIeMMfcYY14wxjwCHA+MAk4v4GGuBEa6XpPCm2eTJHFLOSlXoZ1yn3c5qedzzxcV9pVI2Jz9pk0wMGA/F8OM/8IL9n3yZBt65mj2AwPR4XRuM/769YUpy+vtY5ttYMcdM8tuYX/mmf77z5kDb7xhBfWpp9r1hdDs/cz4zsPR3Xfb5EIQrtmPHp394DEwYKsNlghjzHrgNcCnPB8AK4FxnnXj0uuD+txijOl0XoCmB1SUMqPCvhIJ0+yMyWjoxTDjv/SSfX/f++x7a2vGNB1lyvduz9eUb8xgb/z99ssW8O7P06YN7qO725a7BTjllIywjuOg59bsnRS8bt8AR4gvXTpY2C9YkJl/d/rxm7NvaIDttstev2hR+NgKiIgMB6YCKwKaPAkc7Vk3Pb2+YihEetZSFnBRDVUpNSrsK5G0sF/6oQ/R/6UvDd7uaJnFEPaOCX/XXe27SEaARQl7rxNfnsK+wc/Csd9+2SF1bmEPVlD+7GeZhDjd3Zk0u+6HgaSa/Tvv2M/ukrVOit67785YPfwcBZ2HAj9vfBj8cFdEYS8i14rIkSIyJR1W9xegHxteh4jcISLuMoc3AMeKyLdEZHcRuQw4ELixaINUFKXgqLCvRNJ//ss+9CHMKacM3r5xo01NWwwzviNo3KZyx5Qf5ZHvfRjIc96+we+c9tknWLMHO+7zz8+MefPmjL/DyJGZdlHCftttMxr5e+9lzsXtBHjCCfahYsWKTJVA73gg2Izv9L9qVfb64mr2k7CCfSHwR2AtcIgxxqkytAM29h4AY8wc4AzgXGA+cBpwsjHmpWIOspI030oai6Lkis8/k1J20kJ8oLHRv479DTfArbfaimkO+TjoGQPHHWeryjn57d1CLa5m792+IsgyHE3jOedwnF/512nTwjV7B7dW7gj7UaMy26PM+E1NmT4WLrTvw4dnLAZgv5szzoAbXUru8uWD+woy4zvLTU3ZfhqLF4ePLQ+MMZ+O2H6Uz7p7gHsGty4+xXaCK7cgL/fxlfpBNftKJP3Hb5qa/IX9L35htfsf/SizLh8z/vLltkrd889nYuzdwj6uZu/dnkfKXJk9mwbnwaOpCY45Bg4+2L7CNHsHx2QeJOz9NPsPftCe93nn2WVHSDta+4472mkNN47Dn8N3v5sJp3PwM+M7iXbAhlOOHg2fTsvhEs7ZK4pSH6iwr0Rcmr2JW3c9HzO+X/latxk/qWY/IW0FzrVGuzEZAQ1WSM6eDf/5jxXuSTR7txnfLewbfH76Y8fCW2/BzTdn9+FYKPzi+PfbL3v50EOtyf94V/p4PzN+S0vmweHkk22c/dfSSelU2NcMqrkrlYIK+0rEEfZxqrM5JNHs/+d/Mh7qMLh2/YgR2YIxbmIdR7hPnBivvZu5c+GKK+x5dHcjbn+EIUOsYHSEYxzNPsqM7xfx0NSUrbm7C+mAv7AfPTr7wcj5vtzx835mfG/fIpn+lyzxD79UFEXJEZ2zr0TSgsg0NPib8f2IK+zfesuaqbfdNuMY5tXsp0zJFnpJHfQmTrQZ/5II+/e/376nUpnENw5eL/ZCmPH9hKl3Ht/t0Af+wh6sdu/MszvC3m3K9zPje+fvwVpEUin7/S9fnrGQKIOoZI250ivlKfWJavaVSNScvR9BDnpeM74TQuZ2xvNq9l6hltSMPymdMC0XM/5LL2Wb8GHwNUhixl+/PnNt4mj2bo4+OvvYQcJ+330zn3PV7MFOLeyQTlOvpvycUcGqKINRYV+JRHnj++Gn2adN4lvp7s4Oh+vstBn5Xn/dLjvCzm2WhuQOekFmfHeq3yCGDYsW9knM+M58e0NDdvY7v4cjr2Y/ejScdFJm2XtdHKKEfdCcvR/OA4UKe0VRCkhiYS8iE0XkdyKyVkS6ReRFETmwGIOrWxwzfhLN3ivsf/lLK1D+/OfMOq+wX78eXnzROsRNmJARWrlo9r29GSuCI+zdDwf3328fGtxhag7unPutrYOFvdeMH0ezd/ZxhP3IkdlOeX6avV843uc/n/kcpNnvtdfgPvyEvfs8/DR79zFU2CuKUkASzdmLyGjgCeCfwHHAamBXIPcYK2Uwjmbf0JCbg97AAFx11eDCNZs3Z2e1W78+Y8Lfd1+bTvaaa7I9ySGeg55bsPtp9medZcf19a9nvM799vUT9vlo9s7DjXf+PY4ZH+DYY+HEE61VYOxY/2NNm2Y96nt7M8eJMuNHafZFjLVXFKX+SOqgdxGwxBhzjmvd2wUcjwLZmn0uwv7RRzNz8278NHt3Odtzz7UvL3Fq2juC3Snu4l4HVlgGxd2vXZu9XMg5e0ezd8/XQzwHPaf/++7zP4aDCPzlL9nrvLH27jFBsGbvTBWoZq8oSgFJKuxPBB4RkXuAI4FlwM3GmF8H7SAiQwD3v3UbQG9vL70BBV+c9UHba52mvj4EO2ff299PUyqVHYrmQ//mzQyk2zTecovv/Izp7sasWLF1W9+aNTTMm0cD0Lf33piAY0hrK03AQEcH/Z428ve/I+3tDJx+OinAtLXR19JiP2/YQF+6fdOIETj+/d7vVd59d+sPsX/TJli7Fpc4Z2DIkKzjNjY0bD2H/oaGreftpiGVohEwK1bYazlyZHYfPT2DrlFQXzmRvgYAfevXb722TY2NSH8/A0OHDrqWADJpEk2AWbQo8j6o1/tDUZTkJBX2OwPnAdcBVwAHAT8XkR5jzO0B+8wELvWunD17Nq1B2k2a9vb2hMOrAQYGOCldwtY0NdHe3s4JjY00RfyxL3n9debPmkVjdzfH/ulPvsJ+8/r1bHntNUall1989FH2SQv7R9evZ6M79t7FNq+8woeA7iVL+JunzUknn2yP/+KLTAE2NTby+NNPcywgGzYw64EHoKGBwwcGGJPeZ/af/kSf67vfdu5cDkt/Xvzqq/QPGcKurmO8u24dT7uOe+Dq1aQnCnhz8WJe8Rn3Lu+8w16ApK0E727enNXHzlOnso9Tgtbp6513fPvKFce17/HOTjrS/Z6QStHU38/StWuZ63OsoatX81HALF5M+8MPQ2Nj4H3QFVVyWFEUJU1SYd8APGuMSdfuZK6I7A18GQgS9ldiHw4c2oClM2bMYIQzF+yht7eX9vZ2pk+fTioqh3mt4TLHDzQ0MH36dBqHDYssYrPDuHFMPP545I47aNq8GdPQgDh179MMNYahLu/89/X10bhlC6alhSO++MVs87ibvfaC732P1vfe4/hjj804urm863dIh/G1br89R59yCpx9NgDHH3kktLXReNVVW9vO2G03W9AmjTjlY4Ep48ZhPOMYN3Ikx7v8CBp///utn6dOm8ZOXh8DoOGtt+COOzJ97LZbVh/MmEHfRz8Ko0bRNH16aF+50vvyy8iiRXzwmGMyY29rg82bmThtGhP8jtXfjznvPBr6+pixzz7MfvnlwPugM0keA0VR6pqkwn4F8LJn3SvAJ4J2MMZsAbZKMEkna0mlUpGCPE6bmsMl7E1TE6lUCokxb9/Q20tDKgV33gmAfOITNue6C9m0KWsevfHf/7br99mHlNfj3c2UKdDYiPT2klqzJuOA9+qrmeOnH0YaRo+moa1ta3GXVHe3LR7jOm5q+fJMEh3I1IonXenOif931m3aZM9taweZz41DhtDo9xtxPOCdPrbZZnAfp50Gb76Z6WvoUP++cmWPPezLTfo6Nw4b5n+sVMrG2r/1Fqlly9Kr/O+Durs3FEXJmaShd08Au3nWTQPUdbhQuBzHBhwNN074XU+PdUb75z+tw9j55/u3cQvSV16x79787l6amjKJctyOY+7Me876UaPs8b3hem6nO6/zmdtBz53L3sEbn5/EG9/B66Dn4L62QX0VEmdcYVNY6qSnKEqBSSrsfwYcIiLfFZFdRMSpc31T4YdWp7jm5k0SYb9lC6Q1QSZOhP33j3/M3bzPbz74hYS5M+85pV0doepNxBNX2LvT2zps3Ji9nMQb3yFI2LstGqXQlJ1xBYXeAUydarV7j4VDURQlVxIJe2PMM8ApwGeAl4BLgPONMXcWYWz1iTsvvjM3HlfYOxrwsGFWmMRNyLPTTtFt/JK9+FXL8wr7zk5rUXA7k3mF/Zo1mc9xhL1bwAf5GXinJSpFs3fGFabZ/9//C4sXY848s/jjURSlLkicQc8Y84AxZh9jzFBjzB5hYXdlZ/Zs+O//zhY0lY6j2bu1zLjC3jlPZ77aM28dSFAaWDdeYT8wAC+8MLidI1TdsfmuOXlgcMKYpGb8XDR7b1IdB/e1rRTN3l2ESFEUpQDUdtW7j37Uvm/YALfeWt6xxMWZs3cLnjiJdbyaPVjt8b337OehQzMe/ePHZyfXCUoD68Y7j7xkiX+ue0eoujV7r/B2phscAsz463bdldGvvw7f+EZ2+yRV7xyCKsilUla4GlMaYe9cxzgPWIqiKAWiPgrh3HZbuUcQnzDNPsz06zaVO+3c7d1a/hFHZD63tWUy3oXhnbMPch7zavZ+wt5rlncL+/Xrt0YkPPXd79I3ezZcdll2+6Sa/eTJcNBB/u1EMte3FGb8G26wGQ7T4X6KoiiloLaF/XbbZT4788t9ffDyy4PzxlcKjrB3Cx5HGI0cGazl+2n2bgHv1nSPOirz2Vu7Pgi3sB8YyAj7oLlxt4OeI+yd3PIbN2au/wsvZJv10xYHI8KWkSMxRx01WONO6o1/5pnZRXC8ONe3FJr9yJH2YStsPIqiKAWmtv9x3CVN777bvv/whzZJzB//WJ4xRRGm2be0ZDRmL25h76fZu3PBH3lk5vPkyfHGNWmSFVBbttgQP0fYu8u7gr+DniPsnfA9Y+yUwt//Pnh/J8+At0qdmziavfvcoxzdSqnZK4qilIHaFvbumuVOTPnLL2e/VxpRZvyZM+FjHxu8n5+Dnlvguavd7bxz5vOYMcQilYJddrGfX3opWti7HfQcYb/99pl2GzfC//xPZr33nIK85yGeZr/DDrbC3uWX26p0YTjWCU1SoyhKjVLbqoy7EpxjKnYEj3ceuVIIc9BraYFvfcuWiPWaz/00+yBvfPe+YULVy377wWuv2SkR53p6E/KEafZjxtixdXXZqnx//atd/+CDsO22Gc0fgr3nIZ5mLwI//3n0OYFq9oqi1Dz1o9k7mmilC3tHs3cLNK+Dnt+8vdtBz0+zd/BquUmEvaPFz5uXuZ57751tbg/T7EeNykyt/OY3dszve599YPA8vJh8NfsklHLOXlEUpQzUj7Bfvz7zcpYrkag5e7Baq1fg+znoffGL9n3//eET6fIFP/6xfXdM8p/8ZPyxOVr888/b0DuwCXkcLbyxMXNsJ3/+c89lwv9GjswIe6eS22mnZZ+bQ5hmX2hh71yLOCGIiqIoVUht2y3dZnywpmdHyHsTvVQKcUPvhgzJfpjxM+N/5CN2fn3KFKt9X3JJRjt/5hnraOct1BKGI+wXLsyMccIEq7GvW2cFtOPZf/TRdv3SpfCXv9h1bs1+6VL77sS/e6cl8jXjJ+G3v7UPL0muhaIoShVRu5p9f78NEYNMOthFiwqv2T/zTEZzHRiAOXP8k83EJT1nb8I0e/c6N84DjHuufq+9Mulz3c50o0YlF24TJmTC58A6wTU2Zkz3btP70KHw6U/bz45zoFvYOwl+nH0aGrKsFSU14w8froJeUZSapnaFvVvrdQq9LFiQKS5SCGH/j3/AwQfDYYfZ5XvvhQ9+EC6+OPc+/TR7R1N3h935CXvnoSMs+U4+iGQ75Dlmbz9hD3DWWdnL22yTHQ7p3cf9MFNKzV5RFKXGqd1/SrcJf9o0ePjh7MIthRD2d9xh3x2ztlPf/fXXc+/TL6nOZz5jH1TOPTezzs9Jb906+x43J34ufP/79t0YGwYIwcL+Ax+A73wH/vMfO4c/fTr87nfZbbzC3rFOlFKzVxRFqXFq95/Srdk7DlhuYd/Zac3u+WQy8877O2lf83mQ8NPsp06Fu+7Kbuen2TvCvliaPdiEPO6kPBAs7EXgpz/NXufV7N0avGvePtSMr5q9oihKIqrLjP/OOzbVqOPw5eaSS6xnt2OmdzT75ubMnP1rr2XaGwOf+pTVlpOmzr32Wjj22EwNd6e/Ygl7P8LM+MXU7P0IEvZ+FMKMr5p9zojITBF5RkQ2iMgqEblXRHaL2OdsETGe1+ZSjVlRlPyprn/Kv/4VHnvMzl2fckpmvTFwzTVWwC9cCHvumdHsm5szc8teof6nP9n3H/0Ixo2LP44LLxy8rrs7U5c9H2HvJNWJEmJ+wt45v1IL+/e9L/s9DO/Y3ELdLexHjQp2dFTNPh+OBG4CnsHe/1cAs0VkT2NMmGdpJ+B+KKjQ4hKKovhRXf+UTllWb9W0TZsymrwjaB1hP2RIdDnRxYuTCXs/1q8vrGafi7B3KKYZ34+zzoIPf9h650fh1uxbW7N9D9xm/BEjgoW9avY5Y4w51r0sImcDq4ADgH+H72pWhmxXFKWCqS4zfpCwd5dIdebR3Wb8tjbrCR6Eu+paFO6CMm46OjLj2LIlE1qWhNdes+VPIZkZ3yvcS63Zi9gHqjjV89zC3mv292r2QahmX0gc08p7Ee2Gi8hiEVkiIveJyF5BDUVkiIiMcF5AQPUmRVFKRe0Je69m72iOYdnRgmqz+9HZ6b/erdlDbkl7dtsN7rnHfo4S9m6N2DsPXmrNPgmFEPaq2RcEEWkArgeeMMa8FNJ0IfAF4CTgc9j/jTkiMimg/Uygw/VaWqgxK4qSG7Uv7B0NOMyUn0TYB5no167NeMOHtQvC60+QRLP3lr2tVmHvzqLnFNLxQzX7QnETsDfw6bBGxpgnjTF3GGPmGWMeBU4FVgP/FbDLlViLgfMKeihQFKVEVNc/ZRJh7zbjQ+E0+yAhvmhRtsBOKuy7u7MWTZI5e7ewT6Uqu6BLHM1+xIhsge5FNfu8EZEbgY8BRxhjEmnexpheEZkL7BKwfQuwNdGFxJneURSlqFSPZj8wkEm7unFjtmBNasb3/vkEzdkbY1O+brONTaf6zjvBQvzNN7OXkwp77/RAXM1eJFuTL/V8fVLiCPuoED7V7HNGLDcCpwAfMca8nUMfjcA+wIpCj09RlOJQPf+U69ZlnOMGBqzm7ph945jx3cJ+++1h2bLMsqOVex8Cli2DP/whc/z2dhg9OrtNS4vVyvMV9hs2ZC/HFfaplK0T71BNwt4bS+98n1HCXjX7fLgJOAM7/75BRMan13cYY7oBROQOYJkxZmZ6+QfAf4A3gFHAhcCOwP8r7dAVRcmV6tHsV3qiftym/DhmfPecvbec6qZN2X04zJuXvbx2bcbx7rjjbBKbL3/ZLr/1VnbbfDX7KCHmnFdzc3Z8eyXP10M8zT4soQ6oZp8f52Hn0f+F1cyd16dcbXYAJriWRwO/Bl4BZgEjgMOMMS+XYLyKohSAyvunNAa56y72/MtfbIGZbbe16/2EvVOBzc8L3mvGdwt79xTAhAm21OuiRfDkkzZW3KkO506v6xzH0bhHjbJaviOw/DT7DRvg/vvh1FMHl3B97DErmKdNsxkBvU52cefsU6ns4jTVpNnnasZXzT5njDGRE+jGmKM8y98EvlmsMSmKUnwSafYicplP2sxXCzoiERp/8AN2vfdexC1sk2r2XjP+qFGZh4MPfzjT3nkImDULTjwxW3A6mr0jfNauzfTvTRHrjavv6ICrroLPfhZOOCF72yuv2LS/Bx5o0/WedRZ88pMkwjmv5ubs0rVhyXYqgTBh7yxvt114H6rZK4qiJCKXf8oFwDGu5YAsM7lj3vc+ZPFi5IUX4Jj0ofI14wPceqtNp/uVr1iN/uMfhx//2G578slMu+5uq2U6wv4jH4E//9kex9Gco/LBr18PDz1kP//jH3Y8jiD+7W8z7e6+2747Of3TyKpV/v06uIX91KmZ9UsrPKQ5TNh/9rOwahWcfXZ4H6rZK4qiJCKXOfs+Y8xK12tNoQdl0nPQBdHs3cL+Yx+Db33LCvIf/hAOOijj3LZ6dabdO+9YE7xjmj/66MxxgjR7B2e+ef16W+ve4YEH7PvAANx5J5G4i+z44Tbjuyv3uR0PK5Hm5oyA9l67sWPhJz+BXXcN70OFvaIoSiJy+afcVUSWA5uBJ4GZxph3ghqLyBDAbVtuA+jt7aXXyQPvYWDvvWkEmDdva5vGFSuynkzMN74B3d30PfYYTWvX4kxEmvXr6evtpaG7m0ZgIJWiP+A4AA2jR9MImNde29rHwFVX0XDbbba/7benf+pUmgCzZg1m5EgagL62NkxvLzJ8eNZFNDvvjMydy8C6ddDQsHXMA7fdRv+JJyL//jdN7wRerkw/6aI6QdeooanJjjuVoq+3F7fvftA+lULT8OHI+vX0DR+OCRircw6+52LM1vPtHRjI1BOoMUKvQch6RVEUL0mF/VPA2dj0mROAS4HHRGRvY8yGgH1mpttlMXv2bFoDPMdbOzuZDpiXX+ah++7DpFIc+tJLuGdy5WXrCDz3xhs52JWaVrZs4eF772WXF19kD+CdlSuZP2tW4Antuno1ewLiCn1zBD3AW+9/P++8/DIfBrasWMHGhgbGAnPfeovls2YxYtEiXB4ALBo/np2A9W+/zUBjI2kvAbqfeYa/zZrFTrNmEVUbrr+5mTmf+AQA7e3tvm2mvPYa+wKdmzfzr1mz2PbSS/nAT37CS//n/7Ao5HwrgYN2351tFi7k74sX0+e2qPjgd/4j3n6bDwOmoYFZzlRJDRP0G+jq6irxSBRFqVYSCXtjjPuf9QUReQpYDJwO/CZgtyuB61zLbcDSGTNmMCIgJWpvTw+93/wmqa4ujttpJ3jf+2j6/vftGIYPR1wm/ANcce9GBDGGYw85hIb0fPvkXXZh4vHHB56TrFiRPYfuou9//5cdPv5xdliyBC64gCEbNzIkbTLf/6ij2G/GDJuQ5/zz7fEnTGDyf/83PPQQo0WyYuVbu7s5/vjjafB6+Hvov/hiBi65hAOwf/LTp08n5RNzL+kEQ21jxnD88cfD8cczcOGF7NnczJ6hR6gAjjsO+vqYEZJLoLe3N/j8X0qncW9qsudeo4ReA6AzqE6DoiiKh7wmPI0x60XkNQLSZqbb+KbOTKVSvn9gDh1TpjD25ZdJLVgABxywNXueTJ2aFRLX6KS6HTXKmuHXrye1adNWh7fGlhYawxLUhHh+N02fbgX2eJt3RPr6tjrANY0da7c5oYGAfPKTNKVL5UpHR1Y8v3R2WtOzY0EYOxbWDHZ3aBw1isbW1q2m6cDrlLaKNAwZQoOzvZLT5Hpx+1KE4Hv+6esqTU2hv6FaIeg3UA/nrihKYcgrqY6IDAemUoS0mZ077WQ/zJ9vBZ8jGHfxPFc4TnRjxmQcvjo6/L3x/XBnn3MzdWom9r21NRMn7xS7cY7ljo8/88zM+nXrBmfFe++9TB4Ad4ifm7ACMG6ckr1RMem1iHONopLvKIqiKEBCzV5ErgXux5rutwcuB/qBuwo9sA4nve28edZT3hgbX+2tXucI+7FjMwJ+/Xp/b3w/goS9O3bdaef2dHeEbEMD/O1vNjrggAMymfA2b86MwcHtzb/ffnY/L3GF/fTpcP31mdDEemL77eH222GSFlNTFEWJQ1Iz/iSsYB+DLXH5OHCIMSbcyyoHOhzNft68TNjddtsNFoZOEZsxY8BxWFqyZHBSnSCChL1X8/YKe7dW6YTmgdX0m5psHv+BAbvOMdm7hf1ee9mHF098/aBMekGkUvCNb8RrW4uceWa5R6AoilI1JHXQC617XUg27LADprERee89eO45u3L8+OykLJApjjNmTEaL/9KXMttz1ez9hL3D0KGD0986iNi2ToU+sEV4vMJ+zBirmXor7sXV7BVFURQlJhVbCGeguRl2280uPPywfR83brCwdxgzxibN8RIl7Jubs/s87jjYeWf40IcG9++wZ4S/u7ttS4sdNwxOyvOpT1mTtPvBIq5mryiKoigxqVhhD2CcefNHHrHvfpq9w5gx8MUvwuzZ2evj5Ip3C+d774U33hjs+OZu8/nPx+9vxIjMslfY//Sn1rt/n32y2yuKoihKAalsYe+Ubt20yb5HCXvIaNEOcUK8nH3b2mx7b117sDnbHc44I15/Tp9Bwh4yZn8HFfaKoihKgalsYb///tkr4gh77xx8Es0+aP4ebDEcsCVwo6qyBWn2S5dmUru6LQfehwNFURRFKSAVXUXEHH54dvKZXIR9Es0+TNife6499oknxu8PsjV7J0ywoSH7PJztjY1ZiXgURVEUpRBUtGZPc3O2yXz8+EyJWS+OwBw6dGt2ua19RBFH2Dc329KrTjKbOP1BtmbvCPtRo7KnCtzTCH5TCIqiKIqSB5Ut7AHOOivzebvtsoWhu7SrW8C6PxfKjJ+EIGHvWCiCnP/UhK8oiqIUgYo24wOw//5Wo161CqZNs8L+6KNtyNpDD2UEqFfYL1liP8fR7D/2Mfj97+G00woz5iAzvoNX2B98sA2/O+GEwhxfURRFUVxUvrAXgVtvzV7npJnddVcr7Ftask33buEaR9gfdBC8/nr+Y3UYOzbz2a3ZO3hzure1wdy5hTu+oiiKoriofDN+GI6G7BWmSc34hSapZq8oiqIoRaS6hb2jIYcJ+5ilVAuKd86+pSVbwKuwVxRFUUpIdQv7OJp9OYS922PfSZJz8smZdSrsFUVRlBJS+8K+HGb8pqaM1cHxsD/77Mz2cjyAKIqiKHVL7Qv7cglWx0nP0ezdhXU2by79eBRFUZS6pbqF/emnW096b656txm9XML+K1+BI4+EQw+1yw0N8Je/wGGHwbe+VZ4xKYqiKHVJ5YfehXHwwfD004PXu5PTlMOMD3DBBfbl5uSTs+fuFUVRFKUEVLdmH4Rb2Ov8uKIoilLn1Kaw33nnzGcV9oqiKEqdU91m/CBGjoQFC6ygb6jN5xlFURRFiUvtSsI994Rddin3KBSlIhGRr4rIIhHZLCJPicjBEe0/KSKvptu/KCLHl2qsiqLkT+0Ke0VRfBGRTwHXAZcD7wfmA4+IyHYB7Q8D7gJ+A+wP3AvcKyJ7l2TAiqLkjQp7Rak/LgB+bYy51RjzMvBloAv4QkD7bwAPG2OuMca8Yoy5BHge+FpphqsoSr6osFeUOkJEmoEDgL8564wxA+nlQwN2O9TdPs0jIe0VRakwyuag19nZGbitt7eXrq4uOjs7SaVSJRxV5VDv16Dezx+ir0HYPRTCWKAReNez/l1g94B9xge0H+/XWESGAO4EF20Qb7wDW7q2fu7s7AxdzrWNH7m2KdYY9VzLez3KNcY490iO9z1ijMlpx1wRkYnA0pIeVFFqm0nGmGVxGorI9sAy4DBjzJOu9VcDRxpjPuCzTw9wljHmLte6rwCXGmPG+bS/DLg08VkoipKE2Pc9lEezXw5MAjaEtGnDPhBEtatl6v0a1Pv5Q7xr0Ia9p+KyBugHvEJ6HLAyYJ+VCdtfiXUAdLMN8F7E2Or9O6/38we9BnHPP+l9X3phb6wpIfRpREScjxuMMbnZLKqcer8G9X7+EPsaJLo2xpgeEXkOOBrrVY+INKSXbwzY7cn09utd66an1/sdYwuwJek46/07r/fzB70GCc4/8bWpzaQ6iqKEcR1wu4g8CzwNnA8MA24FEJE7gGXGmJnp9jcAj4rIt4AHgU8DBwLnlnjciqLkiAp7RakzjDF/EJFtgR9inezmAccaYxwnvB2AAVf7OSJyBvBj4ArgdeBkY8xLJR24oig5U6nCfgs24YfXFFhP1Ps1qPfzhyJeA2PMjQSY7Y0xR/msuwe4p9Dj8FDv33m9nz/oNSja+ZfcG19RFEVRlNKiSXUURVEUpcZRYa8oiqIoNY4Ke0VRFEWpcVTYK4qiKEqNU5HCPmmt7WpFRC4TEeN5veraPlREbhKRtSKyUUT+V0QGpSetJkTkCBG5X0SWp8/3ZM92EZEfisgKEekWkb+JyK6eNtuIyJ0i0iki60XkNyIyvKQnkiMxzv82n9/Ew542VXv+Yeh9v3V7Td33es9Xxj1fccJeEtbargEWABNcr8Nd234GfBz4JHAksD3w51IPsMAMw36nXw3Y/h3gv7FlVz8AbMJ+/0Ndbe4E9sJmcfsYcATwf4s14AITdf4AD5P9m/iMZ3s1n78vet/X9H2v93wl3PPGmIp6AU8BN7qWG7DpdS8u99iKcK6XAfMCto0EeoDTXOt2BwxwSLnHXqDzN9jkLM6yACuAb3uuw2bg0+nlPdL7Hehqcyw2Ccz25T6nfM4/ve424N6QfWrm/D3npfe9qf37Xu/58t3zFaXZS261tqudXdPmnbfSZpod0usPAFJkX4tXgXeo3WuxEzajm/ucO7CCwDnnQ4H1xphnXfv9DfvDH1SxrUo5SkRWichCEfmliIxxbau589f7vq7ve73nLUW/5ytK2BNea9u3dnaV8xRwNvYp7TzsD/8xEWnDnm+PMWa9Z59avRaQOa+w7388sMq90RjTh62oVgvX5WHgTGzhmYuwZtyHRKQxvb0Wz1/v+/q97/WeL9E9X6npcusCY8xDrsUXROQpYDFwOtBdnlEp5cQYc7dr8UUReQF4EzgK+HtZBqUUFL3vFTeluucrTbPPpdZ2zZB+mn8N2AV7vs0iMsrTrJavhXNeYd//SiDLaUtEmrD10mvuuhhj3sLeF7ukV9Xi+et9X7/3vd7zHop1z1eUsDfG9ABOrW0gq9a2b+3sWiIdSjEV67DyHNBL9rXYDVuRrFavxdvYH6/7nEdg56Wcc34SGCUiB7j2+wj2t/xUicZZMkRkEjAG+5uAGjx/ve/r+r7Xe95D0e75cnsn+ngefgrriXkW1gvxV8A6YFy5x1aEc70WOz8zBTgMaAdWA9umt/8Sa977MNZxZw4wp9zjzvOchwP7pV8G+Gb68w7p7Relv+8TgX2Ae4G3gKGuPh4CngcOBj6I1Yp+X+5zy/f809uuAQ5J/yaOxv75vwYMqYXzD7kuet/X6H2v93xl3PNlvxABF+dr6R/7FuyTywfKPaYinefdwPL0eS5NL091bR8K3IR1xNiEjbUdX+5x53nOR6V/8N7Xbentgq2zvjL95/83YJqnj22A3wMbgA7gFmB4uc8t3/MHWoBHsM44PcAibCztOE8fVXv+EddG73tTe/e93vOVcc9riVtFURRFqXEqas5eURRFUZTCo8JeURRFUWocFfaKoiiKUuOosFcURVGUGidRBr10+r7LgM9h0/Qtx3oU/tjE9PQTEcFWcdqQ5NiKovjSBiyPe/+VA73nFaXgJL7vk6bLvQiby/ksbInGA4FbsaEAP4/Zx/bYcBNFUQrDJGyFuEpF73lFKTyJ7vukwv4w4D5jzIPp5UUi8hlsoH9cNgAsWbKEESNG+Dbo7e1l9uzZzJgxg1QqlXCISl1fv4F+WDMHuldCy3gYexg0NEbv56Jarl9nZyeTJ0+GhBqziHwVuBBrnZsPfN0Y83RI+1HAT4BTsfG+i4HzjTGzYh4y8p5XFCUeud73SYX9HOBcEZlmjHlNRPYFDgcuCNpBRIYAQ1yr2gBaWlpoaWnxH1RTE62trbS0tFT0n22lUrfXb9n9MO8i6HI97LZOhP1+ChM/Hrubarl+vb29ifcRkU8B1wFfxiauOR94RER2M8as8mnfjM3wtgo4DatJ7AisT3rsESNGqLBXlDKRKKlOOl/1FcB3sIUrGoHvGWOuDNnnMuBS7/rf//73tLa2Jh2voihpurq6OOOMMwBGGmM64+yTrrD2jDHma+nlBmAJ8AtjzFU+7b+MtQLsboxJ/nTB1lznHR0dHSrsFSVPOjs7GTlyJCS47yG5Zn868FngDOyc/X7A9SKy3Bhze8A+V2I1CYc2YOmMGTNCzfjt7e1Mnz69ojWrSqXurt9APzy0T7ZGn4VYDf+4F2KZ9Kvl+nV2xr7Pga1a+gHYexIAY8yAiPwNODRgtxOxhThuEpGTsDncfw/81BjTH3AcX2ueoijlI6mwvwa4ymTq774oIjsCMwFfYW+M2YLNAQ2AdcyFVCoV+Ucap40STN1cv3efgK43wtt0vQ7r/wPjjordbaVfvxzGNhZrjXvXs/5dYPeAfXbGVti6EzgeW3bzZiAFXB6wz0x8rHmKopSPpMK+FRjwrOtH4/WVctK9IrpNknaKmwbsfP25aU3+ORGZiDXtBwl7X2teUUeZB93d3fT09IS2aW5uDvQxqkf0mlUfSYX9/cD3ROQdrBl/f6xz3i2FHpiixKZlQmHb1S5rsA/n4zzrx2ErjvmxAuj1mOxfAcaLSLOxteizCLLmVSLd3d3c99B9rOteF9pudMtoTjruJBVe6DWrVpIK+68DP8Ka8bbDJtX5FbY8oQJ2/nj1Y1aLbJkA234oWehXIfZf9bj9vOpxmHBE4tCzqmPbD0HrpPScvZ/Dqdjt236o1COrKIwxPSLyHLZm9r2w1UHvaODGgN2eAM4QkQZjjGPVmwas8BP01UZPTw/rutfRMrmFoa1Dfdts7trMuiXr6OnpUcGFXrNqJZGwN8ZswIbqnF+MwVQ9S/4Mz30DulwWy9ZJcMANMPnUEu6/FobdBY+eAK1j4u9frTQ02nN87BMBDQwccH3tP/TE4zrgdhF5Fngaey8PwybHQkTuAJYZY2am2/8SW2f+BhH5BbAr8F3iJ9GqCoa2DmVY27DA7d10l3A01YFes+pC59oLxZI/w2OnZQtqsNrmY6fZ7ZW8v1IXGGP+AHwba42bh42oOdYY4zjt7QBMcLVfAnwUOAh4ASvkbwAGhekpilK5qLAvBAP9VqP2NSGn1z13vm1XiftXO1vPPwip7fNPiDHmRmPMjsaYIcaYDxhjnnJtO8oYc7an/ZPGmEOMMUONMVONMVcEhd0pilKZqLAvBKsfG6xRZ2Gga4ltV4n7Vzv1fv6KoigRqLAvBPmGfpV7/2qn3s9fURQlAhX2hSDf0K9y71/t1Pv5K4qiRKDCvhA4oV8ExRMLtE4ODv3Kd/8xh4FEeJpLo21Xi+R7/RRFUWocFfaFwAn9AgYLnPRyWOhXvvuvnQNR/lKm37arRfK9foqiKDWOCvtCMflU+NCfbMEVN62T7PqoOPd89tc56/yvv6IoSg2TNIOeEsbkU2HiSblnwMt1f52ztuR7/RVFUWoUFfaFpqExUWW1gqDpYjOU4/oriqJUOCrsK4lc0+VuTRd7GjpnrSiKonjROftKId90tzpnrSiKogSgmn0lEJnuNp3udeJJdlXQnLQzZ73i3/BsJxz5YH1UvVOUGiROzXjQuvFKPFTYVwJx070u+Am8+etwM39DI2x3ODDLvqugV5SqI27NeNC68Uo8VNhXAnFD4l68dPA6x8yvpnpFqRni1IwHrRuvxEeFfSWQV0icx8yvmryi1AxRNeNB68Yr8VAHvUogMt1rFK6qbgP9sOpxu3rV48nLug70w7v/gkV32fdSl4Ut9/EVRVFqENXsK4FBoXNuRz3vcghL74MnPw9da2HYXfDoCdA6Jjp0zyHX0L9CUe7jK4qi1Ciq2VcKYaFz+1wer4+F1+ceupdv6F++lPv4iqIoNYxq9pVEULpXSHvhB2XIw1a18y2GE2NOP0noXzF8Asp9fEVRlBpHhX2lEZTuNcrMH1r1zjWn79d33NC/oP3zpdzHV5QSEid+vqOjg96e3hKNSKkHVNhXC46Z329Oe/InrAk/iqAQv3JXzSv38RWlRMSNn+/u6mbBwgUcsdsRDCPcG19R4qDCvpoIMvO/+694wn7Idv7ry101r9zHV5QSETd+3qwydL3URX+fRqMohSGRsBeRRcCOPptuNsZ8tSAjUsLxM/PHjdgLare1al6IKb11cvGq5mnVPqXOiIqf79rYVcLRKPVAUm/8g4AJrtf09Pp7CjkoJSGbV+XXrqERdvxM+L47frp4znFO6CGgVfsURVEKTyJhb4xZbYxZ6byAjwFvAo8WZXRKPPI1gw/0w+K7wvddfHdxE9xo1T5FUZSikfOcvYg0A58DrjPGBGZ9EZEhwBDXqjaA3t5eenv9vU2d9UHbFQ+jDoHWXaBrOWDoxebIdt6tGXyibbdpA7z0fdj4JgyfCnv/GNY/axPxEJJbu2uNraa33eHFO4/xH4fjjoc1T8LmlTB0PIw91Gr0JfwtVMvvr9LHpyhK5ZCPg97JwCjgtoh2M4FBFVxmz55Na2tr6I7t7e25jawekWvxOu22D7sle8XDj6Q/fMS+NgIr/2FXDYvQ7MGWzWVWfuOMTSvQCTwS1bBoVPrvr6tL53UVRYlHPsL+i8BDxpjlEe2uBK5zLbcBS2fMmMGIESN8d+jt7aW9vZ3p06eTSqXyGGKdsex+mHcRvV3v0T7sFqZv+gKp1jGw31U21/zyB/Pr/8gHi6vZVwjV8vvr7Ows9xAURakSchL2IrIjcAwQOZFqjNkCbHHtC0AqlYr8I43TpuYY6B8cWhfXMW3KqTDpY7Dwl/AGpPb9AandzrN9zvlEfuOSRhj3QWiqn++j0n9/lTw2RVEqi1w1+3OAVUCeqqKSRb6FYLbuny6EM38mvH4tjNgr/7GZflg7RzPYKYqiVCGJC+GISANW2N9ujOkr/JDqlHwLwYTtv7JA896awU5RFKUqyaXq3THADsAtUQ2VmEQWgsEWggkKfYuzfyEYGpCBT1EURaloEpvxjTGziZ+zrfbIZ049iHwLwUTuXyAM0NcDb9wMG96Etqmwy1egqbn4x1YURVFyRnPjJyHfOfUg8i0EUyrz+sLr4V8fza6wN/fbsPsFsP/VpRmDoiiKkphczPj1Sb5z6mHkmwGvVAVilj8wuJSu6YdXroG53ynNGJSCICJfFZFFIrJZRJ4SkYNj7vdpETEicm+Rh6goSgFRYR+HfOfUo3AKwQTOjkimEM1Av61yt+gu+z7QD6M/kNtx/Y6TK69eZ038SsUjIp/C5r64HHg/MB94RERCnTJEZApwLfBYsceo1A/d3d10dHSEvrq7u8s9zKpHzfhxyHdOPQqnEMxjp2EFrvuhwlUIZtl9/tMI445JfkxfTMDxYzj5mX47l7/7+QUai1JELgB+bYy5FUBEvgycAHwBuMpvBxFpBO7EZsP8EDZ7pqLkRXd3N/c9dB/ruteFthvdMpqTjjuJlpaQlN5KKCrs45DvnHocnEIwvj4B19vPj53GIMHbtQzevi3347oZtS/0rB18/JF7wYqHo/ff8GZhxqEUjXRNiwOwmS0BMMYMiMjfgENDdv0BsMoY8xsRCa01HFQPQ1G89PT0sK57HS2TWxjaOtS3zeauzaxbso6enh4V9nmgwj4O+c6px2XyqTDxpMHe/gB/nULRQ+u2PdxaGLzHf+0X8YR929TCjUUpFmOBRuBdz/p3gd39dhCRw7HpsfeLeQzfehiKEsTQ1qEMaxsWuL0bNePni87ZxyHJnHoxKFVo3b7X+K/f5Ss2XW4Y0mjbKTWFiLQBvwW+ZIxZE3O3K4GRrtekIg1PUZSYqGYfh7hz6vnG2weF9k0+Lb9+4zDxJHj3oeDQwt0vsF73Qex+gcbbVwdrgH5gnGf9OGClT/upwBTgfqeuBWklQUT6gN2MMVnzN0H1MBRFKR+q2cfFmVNvnZi9vnWSXZ9PnD2Eh/YtvD6/vh3GftB//cSTYOczw0MLxx4Ce1w4WMOXRrte4+yrAmNMD/AccLSzLp0C+2jgSZ9dXgX2wZrwnddfgX+mPy8p4nAVRSkQqtknIWhOPYlG75eBD6JD+6QRzEBAm5gcmZ53/8/nYeObMHwqHPJbSLVE+ASIDS088W3Y58eaQa/6uQ64XUSeBZ4GzgeGAY53/h3AMmPMTGPMZuAl984ish7AGJO1XlGUykWFfVIaGnOv/BZkpp/6peg5eW8ym1x44pPQ+VLmWB0vwkN7xDi+J7RQw+uqGmPMH0RkW+CHwHhgHnCsMcZx2tsBGCjT8BRFKQIq7EuFY6b3C517sUSOyyt9POqTHF+r3tUMxpgbgRsDth0Vse/ZRRiSkiM9PT10dHSEtmlubo4Vttbd3U1PT3hyrI6ODnp7ehONUSk/KuxLQamq0uVEguM3jyneMBRFSUzP5h7mvzSf/v7+UGEeJylN3AQ33V3dLFi4gCN2O4JhBIfLKZVF/Qn7fKvW5VL1rVShc8Wm40XY7qjw8y9GVUBFUXzp6+uju6+boZOHMnrMaN82cZPSxElwA2BWGbpe6qK/rwBTi0rJqC9hn2/VurnfsTngk1Z9qxXz99t3wryLgs+/WFUBFUUJZWhL4ZLSRCW46drYlWhsSmVQP6F3+Vatm/sdG2eeS9W3UlWlCwqtC1qflPVzg8//0ZOLVxVQURRFyYvaE/Z+VeHyrVrX12M1+jDCqr6NOSw6A12+SCN85B9wWpf1rgf7floXHPNodAbAfFl2H0WrCqgoiqLkRW0J+yV/tvHif/8wzDnDvv91Ciz4SfzQMj/euDk69M2p+ubH2jmFCZ2LOv7aOdDcAu+/1q57/7V22ckACAwW7OnliScVc3Dh11dRFEUpKrUj7MPM9PmGlsWt5hbUrlRz9mHHicoAeOS9wRnyRu1X/PEpiqIoRaM2HPQKFdoWNLcet5pbULtSzdkP2S58e1QGwP2v9s+Q98bN8Py8/Mc3NGJ8ilKhxIllh/jx7IpSampD2Ocd2iZWww2qWrfLV6zXeZgp3qn65hd65lTN61pGUePqBes38NovgSnw2s2w23nZoXFRGQCbmgdnyItz/nEod0oBRcmBuLHsEC+eXVHKQW0I+0Tm4Ryq1jU1x6v6tuKB4NCz0Kp5BZKCr14PKz4KphmG3QXzZ8IL34oODYwizvnHYcuq/PZXlDIQJ5Yd4sezK0o5qI05+7hm8n0uz71q3f5Xh1d9G3tIeOgZBM+Z73N5vPFHsfyB3EID4xB2/jt8Kl4fpZrOUJQi4MSyB73CEtEoSrmpDc0+0kyeNtPv9T37yjXDW9CcdkNj/KpxEz42eP+B/uLnx3/1Ojv2fCrUhZ3/mieir3/QNImiKIpSVBILexGZCPwUOA5oBd4AzjHGPFvgscXHCS177BMBDUy2mT7XqnXgP6f97r/ihfYt+Am8+evstq/+fzBueu7jiYsTGphvxTq/84dk119RFEUpKYnM+CIyGngC6MUK+z2BbwHhlRNKwZr/5Lc9H+L6DLx4qb+Z/+1bCz8mP+KGECqKoig1RdI5+4uAJcaYc4wxTxtj3jbGzDbGlFeK5JvhLl/ymosuoYv68J2K0+/W0McgRDPoKYqilJGkZvwTgUdE5B7gSGAZcLMx5tdBO4jIEGCIa1UbQG9vL729/jWRnfVB2wfx2i+tB3oYBlj4S5j2lXh9JmHUIdC6C3QtpxLiy3ppyXrfyvC9IeqaDvTDmidh80oYOh7GHhptfl/1OHStBe/x3HStgRX/hu0Ojz6BMpP491cmKn18iqJUDkmF/c7AecB1wBXAQcDPRaTHGHN7wD4zgUHeZ7Nnz6a1tTX0YO3t7TGHNcWGmkXxBvDGrJh9JkSupdJKO7cPuyV7xfPdQNzzbwU6gUfiNY9z/Z/tTHD88hP/91ceurq0+piiKPFIKuwbgGeNMd9NL88Vkb2BLwNBwv5K7MOBQxuwdMaMGYwYMcJ3h97eXtrb25k+fTqpVCp6VK/dbGPKo9j3yuJo9g7L7rclYLuWZda1ToKdzoQFV0TvP+lUW1DGHT4njTbr3dL4VeN6aaF92C1M3/QFUu7Slkc+GKxZL7sf5nyewZaJdB6Cw34LEz/uv++qx+HRE6IHFnb8CiLx769MdHZ2lnsIiqJUCUmF/QrgZc+6V4AgN2yMMVuALc6yiBUeqVQq8o80ThvAZol74VvRGe52Ow+aivjnPeVUmOQTWtfQCG//Kjo07fDbrV/B/Athw+vQtivse431gP/ro4kz8KXozhb22x4CftdzoB/mfQMI0hQF5p0PO5zkb9KfcAS0jok+vwlHVL5H/kA/rHoKgNS6p0hV8Jgr+UFEUZTKIqmD3hPAbp5104DFhRlOjjgZ3sLY/YL8YszjsOTP8MBUeP6b8PqN9v2BqVZbP+AGggV1OjRt2X0waxq8fhOsnG3fZ01z7Q+BVevi8Nav/NdHphuOqFoXp6peNYTeOVUTHSvFoyfY5SXxrSqKoiiVSFJh/zPgEBH5rojsIiJnAOcCNxV+aAmJynCXT7rYOIRV3XvstOgMdnO/k3sGvgnHxhtjvlX58qmqF5WhsNxEfX8q8BVFqWISmfGNMc+IyCnYefgfAG8D5xtj7izG4BITlOGt2Bp9nKp7GyOiEwO3ezLw+VWte+0XsOLh6HHmW5Uvql1UVb1KJfL7S1//iQHTGIqiKBVO4gx6xpgHgAeKMJbCEJThrVD4VbXLu+peFC4zul/K2SRV+fyIm244TrrbqKp6xcbv+4kS0EmmMYp9brmMX1EUJYLayI1fKpb82b+q3eTTSnP8pffBk5/3r6oXpypfkIVja7rhoKp8VM+ce1DVwbBphEJMYxSCXMev+NLd3U1PT3girY6ODnp7NF9BMejp6aGjoyO0jV7/0qHCPi7OnK5X8+1aBguvL80Y/I7jzCnv8e3wfcceEr7dmXP3FTbXV76wCft+Hjst3G+gUNMY+ZDP+JVBdHd3c99D97GuOzyTd3dXNwsWLuCI3Y5gWKUlyqhiejb3MP+l+fT394eW+9XrXzpU2Mchzpxu2TLnpY8fmi445pxzvc65F3IaIxfUZ6Dg9PT0sK57HS2TW0JLz5pVhq6Xuujv01TOhaSvr4/uvm6GTh7K6DGjA9vp9S8dKuzjEGdOt6yY8Pn6JHPO5Z5zz4V859wHTWO4KcE0RiX5DNQYQ1ttDfogujZqFsJiMrRFr3+lkDT0rj4p9lxtqaiV8/BS7aGDleIzoChKzVJ/mn2Ut3Nfz+DQvSHblW+8haR5bLlHUBxv80KHDq74t83jf+SDybP+5XJ+leAzoChKTVNfwj7K23nud+zct9skPvfbNmd9LdDxImw/vXzHL5a3eaFDB7c7HJhl35MI+lzPr9w+A4qi1Dz1Y8aPypD26Mk2dM079236Yck9JRtmUdn4dvmOXcwMdZWQrjef86uE8SuKUtPUh7CP9HY2Nv98rROUQa/YxMkw+Nz5tl2ulHPOvRDnV+3phpWKxol5j3ppzHvtUh9m/KJnuCsA0ghmgEAzrjREeNzH6D8og14h8fN5WDuncN7mYXPicUIH/caXbzrlQnnTV2voo1LRaMy7AvUi7CvKizkgQ93uF8Ar18bYjv/2iSeGWydKUfUvyOdhwnHx9o/6nuLMiYeFDgaNb/cL8iuUVEhv+hKFPorIV4ELgfHAfODrxpinA9p+CTgT2Du96jngu0HtlcpCY94VqBczfqV4Me9zebCZdv+rw824Udt3PjP82FEZ9PJl7neCfR6WxyylEPY95TvnHza+V66JrkoYRpV504vIp4DrgMuB92OF/SMiEhR2chRwF/Bh4FBgCTBbRCYGtFcqECfmPegVlnxIqX7qQ7OP9HaOS0imvCgzfOsk2Ot79pWrGTpoO9i662HjLmYGtr6eiAx+rnHk4m2eb4a5OON79TpbMTEX60f1edNfAPzaGHMrgIh8GTgB+AJwlbexMeaz7mUR+T/AJ4CjgTuKPlpFUfKmPjT7SG9nsYIijK3bA/bf/YKQ7WS8qR0z7ZTP2HevcMple5I542Lwxs0x/Qmc1MJuYnib53t+ccZn+m27XKgib3oRaQYOAP7mrDPGDKSXD43ZTSuQAt4LOMYQERnhvIC2/EatKEq+1Iewh2hv5yPvhT0utBq6G2m064+8Nz8zey1nYNvwZrx2E47L7frke35xxxe3nR/V400/FmgE3vWsfxc7fx+HnwLLcT0weJgJdLheFe4dqyi1T32Y8R2izOT7X21NuUHe2rma2Yut0ZV7zjhuSN+EGXDk/cmvz9CYGQyD2sUdX76hiXXgTS8iFwOfBo4yxmwOaHYl1ifAoQ0V+IpSVupL2EO0t3NTM+x+fu77R20vRrrYcs8Z7/IV69UeZirPJ/QvrptFULtCji/q+6v8QkJrgH5gnGf9OGBl2I4i8m3gYuAYY8wLQe2MMVuALa79ch6sH5Vcpz6qhrvGstcecX6Pzc3NoWGPpaD+hH05KVa62HJXbWtqTocGXhPcZvcLYMUDuZ3/llXxxhHULu74opzzivX9lRBjTI+IPId1rrsXQEQa0ss3Bu0nIt8Bvgd81BjzbAmG6ksl16mPE8+usey1Rdzf4+iW0Zx03EllFfgq7EuFEzrmVT+d0LF853WdOePnvgFdazPrWydZQV9sYRQntC/X8y/ENIUTR++Ns5fGeHH2xf7+Sst1wO0i8izwNHA+MAxwvPPvAJYZY2amly8CfgicASwSEWduf6MxZmMpB17JderjxLNrLHttEef3uLlrM+uWrKOnp0eFfVWRixk+39CxuBSialsUfucP6fMLQtKhbzmef5Jpip5umH8hbHgd2naFfa+B5vQNFuWTEXbOpfj+SoQx5g8isi1WgI8H5gHHGmMcp70dgAHXLucBzcCfPF1dDlxW1MEGUMl16sNquGv99tok6vfYTXcJR+OPCvsk5GrGLVQ61TjkU7UtiqDzn/ql6PMLDX2LOP+t0xSfCN7/gOvtdncWwZWz4fWbrBA+8l67Lsonw49Sfn8lwhhzIwFme2PMUZ7lKSUYkqIoRaR+Qu/yJZ8MbuUOjSsEYef/4qWFOUY+57/gquB0wcvus1UNc6UWvj9FUeoaFfZxyLeqWblD4/IlzvkXguaxEccP4b1nwrcvu8+a+HOh2r8/RVHqnsoT9gP9sOpx+3nV4/mVPQ3q/91/waK77Huc/vPN4ObMOQ/ylHcQaJ1cmNC4fK+f3/UpVdXAjheLe/z5F+a2Xym/P0VRlCKQaM5eRC4DvDbbhcaY3Qsymq1zwmth2F3w6AnQOqZwoU25zrnna8YdFBrnU7WuEKFx+V6/oOsz+bT8xhWXle2w8GfFO/6G13Pbr1Tfn6IoSpHIxUFvAXCMa7mvICPJCm1yhScUKrQpn9CpQphxs0LjvA8b1+f/MJPv9Qu7Pguvz29scVnx8OB1hTx+266571vs708BohOUaFKa+iQqWZFD3OQ11ZIIp5DkIuz7jDGhmbYSU+zQpiT9w+DQskJlqCtWOtUk5zfQPzj0rKGxNHPyOZE+fmhVwZjsG5JUJw51kA63nMRJUKJJaeqPOMmKHOIkr6mmRDiFJBdhv6uILAc2A08CM40x7wQ1FpEhwBDXqjaA3t5eenvTT+irHk8ngrEXtdfzDkDXGhs/vt3hyUfs6d+XrjXw4pXw9u1poZ6mdSLs91PY7waY87ng/fe7HvoH7CuKbT6Y+Rx3nzDiXr/Hz7KOau4wuLmXWAEWdX3KzVYZH2BGH70/rHs+eP/tTwBpgt5ordD5XfYGtS3095cjgeOrUuIkKNGkNPVHnGRFED95TTUlwikkSYX9U8DZwEJgAnb+/jER2dsYsyFgn5kMnudn9uzZtLa2ZlYMu2vQju3Dbsle8WwnMCvhkIP7H8QiQK5lkMIwP0Yf84H5OY6tEMS5fuuA1k8O3ncdMMxnfTXRw+DvzU0HMCvZ99Pe3p7PiIpOV1dtJmgJS1CiSWnql7BkRQ5JktdUQyKcQpJI2BtjHnItviAiTwGLgdOB3wTs5lsBa8aMGYwYMcKuWfW4dSZL00sL7cNuYfqmL5ByX/AjH8xds3f1nxPSGJIYRqwF4LgXymPSffdR+PeJWxcDr1+1c8RfYdvDYc2TsHklDB0PYw/NvuY9m+Gl78PGN2H4VNj7x9AcnFbVj97eXtrb25k+fTqpVKrAJ1E4Ojs7yz0ERVGqhLwy6Blj1ovIa8AuIW18K2ClUqnMH+mEI6zXuGdOPEV3Wlil58RzTf0a0H8ionbreh3W/6c8GdSaBHyEeub6FYDQOXOvab1INAoMGQoTPxzcJpWCD9xQkMNl/UYrkEoem6IolUVecfYiMhyYCuSXOswJbbK9eo9i3/IJbYrTfyEoVwa1zTGrwsXC7/qILRYTuJ2Mc2MQ2xyU/9DiVr9TFEVRskgk7EXkWhE5UkSmiMhhwF+wtbFjTIhH4IQ2tU7MXt86qTAVxcL63+fy/Pp2KFcGtUIdd6dzgq///leHfz8jpoX3Pe4o2ONCayFwI42ww6fijU8z1CmKouREUjP+JKxgHwOsBh4HDjHGrC7IaIpdtS0odArgzV+Hm/mjzNhxQu+KxegPFKafA26y70FV44Ku30A/PH56eN+vXgef7PKvOtfQCGueyD+0UVEURfElqYPep4s1kK0Us2qb07/fvHpUhrTdL4BXrg3eXs4Mam/9qjD9PH0OLPlTxhFx5Wx443+y6737Xb/XfhFR1Q67/Y2bbcU5v6pzmqFOURSlaFRebvxyETWNEGXGLmcGtQ1vFqafd/4wWGibfnjlGpj7nfyPH9au2NM4iqIodYzWs3cTlSGtUjOotU0t/jFevc6a4Juacz9+VLtKvb6KoihVjmr2Xhwz9ZTP2HevoInaXg52+cpgx7dC45jhcz2+NNp2iqIoSslRYV8LNDW7QuMCiAqNi0OQGT7O8Xe/wN8q4GbJn+GvU+DvH4Y5Z9j3v06x6xVFUZScUWFfK+x/dXBo2x4Xws5n5n+MMDP82EPC943a7lTd89atd6r2qcBXFEXJmfoT9gP98O6/YNFd9n2ghgpq7H+1DW/b90q7vO+VmeXnvpF//zv/l//6rVX3gkhX3Qu61pFV+wjfX1EURQmlvhz0lvw5oB75DbXj7d3UDNO+Am/Msu9NKftQ49WYc2HdU/5hi6sfi+jfQNcS264Y+yuKohCv7n1HRwe9PbVVMTIO9SPsHTOxV3t0zMS1HN5VqDS+Qf3E7b9Y+yuKUvfErXvf3dXNgoULOGK3IxgWWiqztqgPYR9pJk6bmSeeVBne9YWmUGlmg/qJ23+x9lcUpe6JW/ferDJ0vdRFf199TQvWx5x9EjNxpRPlczDQb0v6gn0f6Lex6q2TCC36I40h2wVaJwenq43sv8j7K4qipHHq3ge9hrYmK3ldK9SHsK8VM3FUaJqz/dET7PKjJ9jlZfdFVP1zqtoFlak14elq861aWOyqh4qiKHVOfQj7WjATR4Wmzf1O+HYIT0cbFRoXRb7pbjVdrqIoStGojzl7x0xcrVXV4oSmvXpdyPa0T8KJbwdX/fvrlJABxPRpyDfdrabLVRRFKQr1IewdM3G1VlWL9DkgouqcJ3TNG74WGZqXIPQtqKpgXPLdX1EURRlEfQh7yJiJfePsr69sM3Glh84piqLUGIWM2Y/TF0Bzc3No2GA+1I+wh+o1ExfKl2DIdvn1X8k+DYqiKAWikDH7cfsCGN0ympOOO6koAr++hD1Up5k40ucgJkGRbdXu06AoilJAChmzH7evzV2bWbdkHT09PSrs65ZIn4OYDwCbV+XYP5Xt06AoilIEnJj9ILo2dhWsL4BuumP3l5T6CL2rBcJC0/a5PF4fYWZ4DX1TFEWpWVSzryaCfA4A3vx1/mb4avVpUBIjIl8FLgTGA/OBrxtjng5p/0ngR8AU4HXgImPMrBIMVVGUAqDCvtoI8jnIMsO7SWiGr0afBiURIvIp4Drgy8BTwPnAIyKymzFm0FyPiBwG3AXMBB4AzgDuFZH3G2NeKtnAFUXJGTXj1wpqhlficwHwa2PMrcaYl7FCvwv4QkD7bwAPG2OuMca8Yoy5BHge+FpphqsoSr6UTbPv7OwM3Nbb20tXVxednZ2kUqkSjqrKGXkMHPUCvSufoGvuBjrf/0dS4z9otfWQ661kUy2/v7B7KAgRaQYOAK501hljBkTkb8ChAbsdirUEuHkEODngGEOAIa5VbXHG29nZSXdXN6wOdnxat2YdvVt6WbdmHQwE91XIdpXaV70cs17Gv6V7C91d3XR2diISXLQsl/seQIzJI5QrlwOKTAQi0sEpipKAScaYZXEaisj2wDLgMGPMk671VwNHGmM+4LNPD3CWMeYu17qvAJcaY8b5tL8MuDTxWSiKkoTY9z2UR7NfDkwCNoS0acM+EES1U/zR65cf1XT92rD3VCVxJYMtAdsA75VhLPlSTb+FJNTiedXTOSW+70su7I01JYQ+jbhMGBuMMWp/Tohev/yosuuXdHxrgH7Aq5GPA1YG7LMySXtjzBZgi2d1pV9HX6rstxCbWjyvOjunxOenDnqKUkcYY3qA54CjnXUi0pBefjJgtyfd7dNMD2mvKEqFoaF3ilJ/XAfcLiLPAk9jQ++GAbcCiMgdwDJjzMx0+xuAR0XkW8CDwKeBA4FzSzxuRVFypFKF/RbgcgabApV46PXLj5q+fsaYP4jItsAPsUl15gHHGmPeTTfZAZffsDFmjoicAfwYuAKbVOfkOomxr9XfQi2el55TCCX3xlcURVEUpbTonL2iKIqi1Dgq7BVFURSlxlFhryiKoig1jgp7RVEURalxKkrYi8hMEXlGRDaIyCoRuVdEdiv3uKoFETlPRF4Qkc7060kROa7c46pWRORiETEicn25x6KUFhG5LP3du1+vlntc+SIiE0XkdyKyVkS6ReRFETmw3OPKBxFZ5PNdGRG5qdxjyxURaRSRH4nI2+nv6U0RuUTCkuZHUGmhd0cCNwHPYMd2BTBbRPY0xmwq68iqg6XAxdjQKAHOAu4Tkf2NMQvKOrIqQ0QOAv4LeKHcY1HKxgLgGNdyX7kGUghEZDTwBPBP4DhgNbArsK6c4yoABwHu+t17A+3APeUZTkG4CDgP+x++AJvX4lagA/h5Lh1WlLA3xhzrXhaRs4FV2Cpd/y7HmKoJY8z9nlXfE5HzgEOwPxglBiIyHLgT+BLw/TIPRykffcaYoBTC1chFwBJjzDmudW+XazCFwhiz2r0sIhcDbwKPlmdEBeEw4D5jzIPp5UUi8hng4Fw7rCgzvg8j0+/VWECjrKTNQJ/GZkbTtKbJuAl40Bjzt3IPRCkru4rIchF5S0TuFJEdyj2gPDkReFZE7klPk84VkS+Ve1CFJF3C+XPALaa6k8jMAY4WkWkAIrIvcDjwUK4dVpRm7yadr/t64Ik6ydRVEERkH6xwHwpsBE4xxrxc3lFVD+kHpPdjTYNK/fIUcDawEJiALdn7mIjsbYyp1opqO2NNw9dhp0gPAn4uIj3GmNvLOrLCcTIwCritrKPIn6uAEcCrItKPnab4njHmzlw7rFhhj9Wu9sY+zSjxWQjsh7WKnIbNgX6kCvxoRGQyNg/8dGPM5nKPRykfxhi3BvWCiDwFLAZOB35TnlHlTQPwrDHmu+nluSKyN/BloFaE/ReBh4wxlVb2OSmnA58FzsBOwe4HXC8iy3N9MKtIYS8iNwIfA44wxiwt93iqiXRVszfSi8+lHc2+gXU2U8I5ANgOeN7l9NoIHCEiXwOGGGP6yzU4pXwYY9aLyGvALuUeSx6sALwP/a8AnyjDWAqOiOyIdag8tdxjKQDXAFcZY+5OL7+YPr+Z5PhgVlHCPh1W8AvgFOAoY0zVO49UAA3AkHIPokr4O7CPZ92twKvAT1XQ1y9pp82pwG/LPZY8eALwhjJPw1osaoFzsA7dD0Y1rAJacRWjStNPHn52FSXssab7M4CTgA0iMj69vsMY012+YVUHInIl1oHjHaANey2PAj5axmFVDem52Cz/EBHZBKxVv5H6QkSuBe7HCsLtsZXH+oG7yjmuPPkZMEdEvgv8EevZfS41UKo47eN1DnC7MaaqQyTT3I+NpnoHa8bfH7gAuCXXDitN2J+Xfv+XZ/05VL/DRSnYDrgD61DUgY0R/6gxpr2so1KU6mMSVrCPwcajPw4c4g3zqiaMMc+IyCnAlcAPsGF35+fj9FVBHIMtzZyzMKwwvg78CLgZ+7++HPgVtix1TmiJW0VRFEWpcSo9zl5RFEVRlDxRYa8oiqIoNY4Ke0VRFEWpcVTYK4qiKEqNo8JeURRFUWocFfaKoiiKUuOosFcURVGUGkeFvaIoiqLUOCrsFUVRFKXGUWGvKIqiKDWOCntFURRFqXFU2CuKoihKjfP/A85GkR3dacp7AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "# import iris dataset and display in dataframe\n", "df_iris = sns.load_dataset('iris')\n", "\n", "fig, axes = plt.subplots(nrows=2, ncols=2, dpi=100)\n", "\n", "\n", "# draw line plot on iris data (between dataframe index and sepal_length column)\n", "axes[0][0].plot(df_iris.index, df_iris['sepal_length'], color='r')\n", "axes[0][0].grid(True)\n", "\n", "\n", "# draw bar-plot on iris data (between dataframe index and sepal_length column)\n", "axes[0][1].bar(df_iris.index, df_iris['sepal_length'])\n", "\n", "\n", "# draw scatter-plot on iris data (between sepal_length and sepal_width column)\n", "axes[1][0].scatter(df_iris['sepal_width'], df_iris['sepal_length'], color='orange')\n", "axes[1][0].grid(True)\n", "\n", "\n", "# draw histogram-plot on iris data (on sepal_length column)\n", "axes[1][1].hist(df_iris['sepal_length'], bins=20, density=True, histtype='bar', alpha=0.3, \n", " color='green', edgecolor='black')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "cce948d3", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }