{"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"name":"python","version":"3.10.12","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"},"kaggle":{"accelerator":"none","dataSources":[{"sourceId":45867,"databundleVersionId":6924515,"sourceType":"competition"}],"dockerImageVersionId":30822,"isInternetEnabled":true,"language":"python","sourceType":"notebook","isGpuEnabled":false}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"#  Exploratory Data Analysis (EDA) Notebook \nThis notebook provides a basic framework for evaluating Exploratory Data Analysis (EDA) skills using Python. Students must execute each cell and pass the associated tests to proceed.","metadata":{}},{"cell_type":"code","source":"\n\nimport os\nimport random\nimport numpy as np\nimport pandas as pd\nfrom PIL import Image\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nimport plotly.express as px\nimport plotly.offline as pyo\nfrom IPython.display import HTML\n\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.346521Z","iopub.execute_input":"2025-01-09T04:07:23.346852Z","iopub.status.idle":"2025-01-09T04:07:23.35163Z","shell.execute_reply.started":"2025-01-09T04:07:23.346827Z","shell.execute_reply":"2025-01-09T04:07:23.350544Z"}},"outputs":[],"execution_count":30},{"cell_type":"code","source":"train_csv_path = \"/kaggle/input/UBC-OCEAN/train.csv\"\ntrain_images_path = \"/kaggle/input/UBC-OCEAN/train_images\"\ntrain_thumbnails_path = \"/kaggle/input/UBC-OCEAN/train_thumbnails\"\ntest_csv_path = \"/kaggle/input/UBC-OCEAN/test.csv\"\ntest_images_path = \"/kaggle/input/UBC-OCEAN/test_images\"\ntest_thumbnails_path = \"/kaggle/input/UBC-OCEAN/test_images\"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.356701Z","iopub.execute_input":"2025-01-09T04:07:23.357014Z","iopub.status.idle":"2025-01-09T04:07:23.370746Z","shell.execute_reply.started":"2025-01-09T04:07:23.356987Z","shell.execute_reply":"2025-01-09T04:07:23.369653Z"}},"outputs":[],"execution_count":31},{"cell_type":"code","source":"df = pd.read_csv(train_csv_path)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.371935Z","iopub.execute_input":"2025-01-09T04:07:23.372276Z","iopub.status.idle":"2025-01-09T04:07:23.393854Z","shell.execute_reply.started":"2025-01-09T04:07:23.372244Z","shell.execute_reply":"2025-01-09T04:07:23.392732Z"}},"outputs":[],"execution_count":32},{"cell_type":"code","source":"import pandas as pd \ndf.head()\nprint(df.head())","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.395817Z","iopub.execute_input":"2025-01-09T04:07:23.396118Z","iopub.status.idle":"2025-01-09T04:07:23.40476Z","shell.execute_reply.started":"2025-01-09T04:07:23.396095Z","shell.execute_reply":"2025-01-09T04:07:23.403387Z"}},"outputs":[{"name":"stdout","text":"   image_id label  image_width  image_height  is_tma\n0         4  HGSC        23785         20008   False\n1        66  LGSC        48871         48195   False\n2        91  HGSC         3388          3388    True\n3       281  LGSC        42309         15545   False\n4       286    EC        37204         30020   False\n","output_type":"stream"}],"execution_count":33},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null},{"cell_type":"code","source":"# Verify dataset size\nprint(\"Size of the dataset: \", df.shape[0])\nassert df.shape[0] > 0, \"Dataset size must be greater than 0\"","metadata":{"nbgrader":{"grade":true,"grade_id":"dataset_size","locked":true,"points":1,"solution":false},"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.406171Z","iopub.execute_input":"2025-01-09T04:07:23.40655Z","iopub.status.idle":"2025-01-09T04:07:23.425559Z","shell.execute_reply.started":"2025-01-09T04:07:23.40651Z","shell.execute_reply":"2025-01-09T04:07:23.424348Z"}},"outputs":[{"name":"stdout","text":"Size of the dataset:  538\n","output_type":"stream"}],"execution_count":34},{"cell_type":"markdown","source":"## Visual Exploration\n### Random Image Plotting","metadata":{}},{"cell_type":"code","source":"def plot_images(folder_path: str, resize: bool = False):\n    # Get a list of image file names in the folder\n    image_files = [f for f in os.listdir(folder_path) if f.endswith(('.jpg', '.jpeg', '.png', '.gif'))]\n    num_images_to_plot = 6\n    selected_images = random.sample(image_files, num_images_to_plot)\n    fig, axes = plt.subplots(2, 3, figsize=(12, 8))\n    for i, ax in enumerate(axes.flat):\n        if i < num_images_to_plot:\n            image_path = os.path.join(folder_path, selected_images[i])\n            img = Image.open(image_path)\n            if resize:\n                img = img.resize((512,512))\n            img = np.array(img)\n            ax.imshow(img)\n            ax.set_title(selected_images[i])\n            ax.axis('off')\n    plt.tight_layout()\n    plt.show()\n\n# Test the function\nplot_images('/kaggle/input/UBC-OCEAN/train_thumbnails', resize=True)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:17:46.407143Z","iopub.execute_input":"2025-01-09T04:17:46.407534Z"}},"outputs":[],"execution_count":null},{"cell_type":"markdown","source":"### Label Distribution","metadata":{}},{"cell_type":"code","source":"label_df = pd.DataFrame(df['label'].value_counts())\nlabel_df.reset_index(inplace=True)\nlabel_df.columns = [\"label\",\"count\"]\nplt.bar(label_df['label'],label_df['count'], color='skyblue')\nplt.xlabel('Labels')\nplt.ylabel('Count')\nplt.title('Label Distribution')\nplt.show()\nassert len(label_df) > 0, \"Label distribution must be displayed correctly\"\n\n\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:09:11.391647Z","iopub.execute_input":"2025-01-09T04:09:11.392039Z","iopub.status.idle":"2025-01-09T04:09:11.680957Z","shell.execute_reply.started":"2025-01-09T04:09:11.39201Z","shell.execute_reply":"2025-01-09T04:09:11.679393Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":40},{"cell_type":"markdown","source":"## Class-wise Analysis","metadata":{}},{"cell_type":"code","source":"HGSC = df[df['label']==\"HGSC\"]\nEC = df[df['label']==\"EC\"]\nCC = df[df['label']==\"CC\"]\nLGSC = df[df['label']==\"LGSC\"]\nMC = df[df['label']==\"MC\"]\n\nplt.figure(figsize=(20, 6))\nplt.rcParams['font.size'] = 14\ncolors = ['red', 'lightblue', 'green','magenta', 'yellow']\nplt.pie([len(HGSC), len(EC), len(CC), len(LGSC), len(MC)], \n        labels=['HGSC', 'EC', 'CC', 'LGSC', 'MC'], autopct='%1.1f%%', colors=colors)\nplt.title('Training Set')\nplt.show()\nassert sum([len(HGSC), len(EC), len(CC), len(LGSC), len(MC)]) == len(df), \"Pie chart proportions must match dataset size\"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:09:48.236032Z","iopub.execute_input":"2025-01-09T04:09:48.236461Z","iopub.status.idle":"2025-01-09T04:09:48.390342Z","shell.execute_reply.started":"2025-01-09T04:09:48.236426Z","shell.execute_reply":"2025-01-09T04:09:48.389095Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 2000x600 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":41},{"cell_type":"markdown","source":"## Seaborn Visualization\n### Distribution Plot","metadata":{}},{"cell_type":"code","source":"import seaborn as sns\nsns.histplot(data=df, x='label', kde=True, color='blue')\nplt.title('Label Distribution with Seaborn')\nplt.show()\nassert not df['label'].isnull().any(), \"Ensure there are no missing values in the label column \"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:10:32.671888Z","iopub.execute_input":"2025-01-09T04:10:32.672265Z","iopub.status.idle":"2025-01-09T04:10:32.945306Z","shell.execute_reply.started":"2025-01-09T04:10:32.672204Z","shell.execute_reply":"2025-01-09T04:10:32.94407Z"}},"outputs":[{"name":"stderr","text":"/usr/local/lib/python3.10/dist-packages/seaborn/_oldcore.py:1119: FutureWarning:\n\nuse_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n\n","output_type":"stream"},{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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\n"},"metadata":{}}],"execution_count":42},{"cell_type":"markdown","source":"### Correlation Matrix","metadata":{}},{"cell_type":"code","source":"numerical_df = df.select_dtypes(include=['number'])\ncorrelation_matrix = numerical_df.corr()\nsns.heatmap(correlation_matrix, annot=True, cmap='coolwarm')\nplt.title('Correlation Matrix')\nplt.show()\nassert correlation_matrix.shape[0] > 0, \"Correlation matrix must be generated\"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:11:19.141349Z","iopub.execute_input":"2025-01-09T04:11:19.141696Z","iopub.status.idle":"2025-01-09T04:11:19.372177Z","shell.execute_reply.started":"2025-01-09T04:11:19.141669Z","shell.execute_reply":"2025-01-09T04:11:19.371103Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 2 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":43},{"cell_type":"markdown","source":"### Scatter Plot","metadata":{}},{"cell_type":"code","source":"import seaborn as sns \nimport matplotlib.pyplot as plt \nimport pandas as pd\ndata = {'feature1':[1,2,3,4,5],'feature2':[5,4,3,2,1],'label':['A','B','A','B','A']}\ndf = pd.DataFrame(data)\nassert 'feature1' in df.columns and 'feature2' in df.columns,\"ensure'feature1'and 'feature2'columns exist in the dataset\"\nsns.scatterplot(data=df, x= 'feature1', y= 'feature2', hue = 'label', palette = \"summer_r\")\nplt.title('scatter plot of Feature 1 and feature 2')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:12:04.436516Z","iopub.execute_input":"2025-01-09T04:12:04.436909Z","iopub.status.idle":"2025-01-09T04:12:04.706531Z","shell.execute_reply.started":"2025-01-09T04:12:04.436879Z","shell.execute_reply":"2025-01-09T04:12:04.705474Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":44},{"cell_type":"code","source":"sns.scatterplot(data=df, x='feature1', y='feature2', hue='label', palette='coolwarm')\nplt.title('Scatter Plot of Feature1 vs Feature2')\nplt.show()\nassert 'feature1' in df.columns and 'feature2' in df.columns, \"Ensure 'feature1' and 'feature2' columns exist in the dataset\"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:12:53.971927Z","iopub.execute_input":"2025-01-09T04:12:53.972309Z","iopub.status.idle":"2025-01-09T04:12:54.291764Z","shell.execute_reply.started":"2025-01-09T04:12:53.972277Z","shell.execute_reply":"2025-01-09T04:12:54.290714Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":45},{"cell_type":"markdown","source":"### Pair Plot","metadata":{}},{"cell_type":"code","source":"sns.pairplot(data=df, hue='label', palette='husl')\nplt.suptitle('Pair Plot of Dataset Features', y=1.02)\nplt.show()\nassert 'label' in df.columns, \"Ensure the 'label' column is included for the pair plot\"","metadata":{"nbgrader":{"grade":true,"grade_id":"pair_plot","locked":true,"points":3,"solution":false},"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.465194Z","iopub.status.idle":"2025-01-09T04:07:23.465581Z","shell.execute_reply":"2025-01-09T04:07:23.465434Z"}},"outputs":[],"execution_count":null},{"cell_type":"code","source":"sns.pairplot(data=df, hue='label', palette='husl')\nplt.suptitle('Pair Plot of Dataset Features', y=1.02)\nplt.show()\nassert 'label' in df.columns, \"Ensure the 'label' column is included for the pair plot\"","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:13:14.826376Z","iopub.execute_input":"2025-01-09T04:13:14.826769Z","iopub.status.idle":"2025-01-09T04:13:16.271937Z","shell.execute_reply.started":"2025-01-09T04:13:14.826739Z","shell.execute_reply":"2025-01-09T04:13:16.2706Z"}},"outputs":[{"name":"stderr","text":"/usr/local/lib/python3.10/dist-packages/seaborn/_oldcore.py:1119: FutureWarning:\n\nuse_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n\n/usr/local/lib/python3.10/dist-packages/seaborn/_oldcore.py:1119: FutureWarning:\n\nuse_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n\n","output_type":"stream"},{"output_type":"display_data","data":{"text/plain":"<Figure size 583.375x500 with 6 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H+effz6Sk5PdSRDn3O91nJxOJ/71r38BADZu3Iif/vSn7un5p8fVn0WLFuGzzz5DW1sbtm3bhkceeQTTpk3D8ePHcdVVV+Hjjz92t+3pFXj44YfBXbWTAz4GmiIeav7GWldXh08//RQA8N577+HHP/4xsrOz3UkQENhnumdI+fRh8zMFsu1Nz+t+6aWXvHrdZ577+9//HlVVVSgqKsLGjRtx/fXXgzGGl156CZdffnmf5THIyEGJEOlXz5oi5557rscaiz179oQ7pJAwGAzunqCjR496bON0Ot1DYhMnTgzavXuGabq6uty1Qmc6fvy4+4d0MO/ti+eeew6SJEGj0WDZsmXu53u+R2bPnu2xRuzo0aP9DqsOts5OY2Oj+9yFCxd6bOPN96BOp8N5552Hhx9+GIcPH8ZVV13lfk09erYYGWhdov6EY72g0/kba8//VWJiosdhaafTiW+++cbjud68xp7enIGGSAsLC70J1aNA/o9ON2bMGNx0003YvHkz9uzZA8YYdu3ahcOHDwd0XRK9KBEi/epZrdjTppucczz55JPhDilkerao+POf/+zxL9rNmzejoaEBSqUSF1xwQa9jPe+TP8Ml48ePx5gxYwAAf/rTnzy2eeqppwC4fhFkZWX5fI9Abd++Hb///e8BAHfccUevGo6BvkcA4I9//GO/1x3sfTt9tWxP1//8889x8ODBQaLvjTGG+fPnAwBqamrcz1999dVgjOHDDz90b1virUD+//3hb6w9cZrNZo+xbtq0qd8kxpvXOGbMGDDG0N3d7bEGaefOnQElMT/60Y/ccQ7Ug+qLqVOnumveTv9+ICMLJUKkX4sWLQIA/Pvf/8aHH37ofr6jowO33nor9u3bN1ShBd29994LjUaDo0eP4rbbbuvVhf/555/j17/+NQDgtttu61NH1JPI9Mxe89VDDz0EAPjHP/6Bf/zjH+5ETJZlPPPMM9i8eTMA11BIOOXn5+Puu+/GBRdcALvdjvnz52P9+vW92vT01OzevRv//Oc/3c/b7Xb89re/xb/+9S+oVCqP1+953/bu3eux18hgMOCss84C4JrN19bW5j62fft2/PjHP+5337Orr74ab7/9dp9f3CUlJe44Z8+e7X5+6tSpuPXWW+FwOLBs2TJ88MEHfRLi2tpaPPfcc3j88cd9eh3B5m+skydPhtFohNPpxF133eUuLAZckyJ+/vOf9/t+jh49GowxNDY29pvMxMfHY8GCBQCAX/7yl72G2Q4dOoQbb7zRPWTqj0svvRTLli1DS0sLlixZ4rFgurS0FH/4wx/wwgsvuJ975ZVX8PDDD/eZ5OBwOPDHP/4RbW1tEEURM2bM8Ds2EuVCODWfRJjBFiE8kyRJfPHixe71PUaNGsVnzpzJdTodFwSBb9q0qd81dLxZR8jfdXf8eS1nnjfYytKxsbF81qxZPC8vzx3vmStL93jyySfdbSZMmMAXLlzIFy1a5PXieJz3Xlm6Z0Vdk8nkfu7//b//5/G8YKwjpNfr3asEn3POOXzq1Kk8ISHBfW+FQsF/8Ytf9LvY5Q033NBn1d6eBSh///vf9xujxWLhKSkpHACPj4/nZ599Nl+0aFGvdY0+/fRT9wrVMTExfMaMGe7VvqdPn87vvfdej99nPfdXKBR8/Pjx/Oyzz+Zjx451L045duxYXldX1+scm83mXpcIAE9ISOCzZs3is2bN4unp6e7nz7yXN69jML4uqOhvrC+++KL7mMFg4DNnzuQZGRkcAL/wwgvda1Z5+lxdeumlHHCt5j1jxgz3a+xZ34hzzvfu3etemFSj0fCzzjqLjx071n39npgHWll6IK2trfz88893v4aeVdh/8IMf9Pq8nH79p59+2v18UlIS/8EPfsBnzJjB4+Pj3c8/+eSTXr3vZHiiRGgE8Sd56Ozs5KtXr+ajRo3iSqWSm0wmvnz5cveKtcMpEeKc82PHjvGbb76ZZ2dnc5VKxQ0GA1+wYAF//vnn+ywI2EOSJP7kk0/ys846i+t0Oo8/jL3x0Ucf8UsvvZSbTCauUCh4cnIyv/zyy/nWrVv7PScYidDpD4VCwRMSEvjYsWP5FVdcwZ988kl+8uTJAa/jdDr5E088wcePH8+VSiVPSEjgS5Ys4f/9738HjfHo0aP8yiuv5KmpqVyhULjjON2OHTv4+eefz2NjY7lWq+UTJkzgDz30ELdarf1+n7377rv8Zz/7GZ8xYwZPTk7mCoWC6/V6Pnv2bL5u3TpuNpv7fT1btmzh11xzDc/OzuZqtZqr1Wqek5PDV6xYwV988UXe2Njo1+sYiK+JUCCx/ve//+Xz5s3jWq2Wx8TE8LPOOov/8Y9/5A6Ho98FDzl3bW9x11138by8PPcfDJ7+X7/55hu+fPlyHh8fzzUaDZ88eTL/wx/+MOD1vU2EOHd93v7973/zyy+/nKelpXGlUsm1Wi0fPXo0v/baa/lrr73WazXxyspK/uSTT/Lly5fzUaNG8ZiYGK5SqXhWVha/5ppr+I4dO7x5q8kwxjgfoMSfEEIIIWQYoxohQgghhIxYlAgRQgghZMSiRIgQQgghIxYlQoQQQggZsYZ9IsQ5h9lsHnDZd0JIYOhzRgiJVsM+Eero6IDBYBjSzSoJGe7oc0YIiVbDPhEihBBCCOkPJUKEEEIIGbEiMhHKzc0FY8zjY/HixUMdHiGEEEKGCcVQB9Afg8GAX/3qV32ez83NDXsshBBCCBmeIjYRio+Px9q1a4c6DEIICQi3OcA7rIDNDqhVYHExYGr/d2EnhARXxCZChBAS7Xi7BY5Pvoa8/yggy4AgQJg9BcqLzgUzxA51eIQQRHAiZLPZsHHjRtTW1kKv12P27Nk4++yzhzosQgjxCu/qhuO9LyAfyv/+SVmGvPc7OGwOKK++AEyrGboACSEAIjgRqqurwy233NLrudmzZ+O1117D6NGjhygqQgjxDrd0QT6c7/GY/G0++MXnUiJESASIyFljt9xyC7Zt24b6+npYrVYcOnQIN9xwA/bv34+lS5cOuGibzWaD2Wzu9SBDj3d2Q65vhtzYAm6zD3U4JED0OfNCZxfQ30Lb/NRxQsiQi8geoTVr1vT6evr06di0aRMAYPPmzXj++edxzz33eDx3/fr1eOSRR0IeIxmcfLIR0u5vIR0vBlpO+0XJAJZqgjhtHMS508AMcUMXJPELfc68oFYFdpwQEhaMR9HmQDt37sS5556LK664Am+99ZbHNjabDTabzf212WxGVlYW2tvbodfrwxXqiMbbOly1EYcLgBgthLxMsFQjEKMFOAfMVsg1DeBl1YAsQ1wwE4oL54PRL4aoQZ+zwXFLJ+wvvAVeebLPMZadBtWtV4LF6oYgMkLI6SKyR6g/RqMRAGC1Wvtto1aroVarwxUSOYP0XSEcr38MCAzikjlg43LBxDNGYDMAYWIeuN0B+dsTkL4+CPlIEZQ3XQ4hM2VoAic+oc/Z4FisDsobfgjHS2+Dn2z6/vk0I5Q3/JCSIEIiRFQlQnv37gVAiypGIs45pG174fxoB1heJsTFc8A0A/fwMJUS4uwpEMbmQNqyC/a//gvKGy+DOHlMmKImJLSEpHiobvsRuNkC3tYBFh8Hpo8D08cMdWiEkFMibmisoKAA2dnZ0Ol0fZ5fsmQJ6urq8OWXX2LhwoVeXc9sNsNgMFCXfYg5PvoK0tbdEGZNhjB7Chhj7mMWhx37G+pQZemAyASMMRjwA1MKlILobsOdTkhb94CX10B5w2UQzxo/FC+D+Ik+Z4SQaBVxPUKvv/46/vSnP2HhwoXIyclBTEwMCgsL8dFHH8HhcOCBBx7wOgki4eHcvs+VBJ0zHeL0Cd8f4Bw7Tlbj7bIiSDKHSauFzDl21dXg3bJi3DB+MiYmJAEAmEIBcdk5kLfthWPz+4BGDXF87tC8IEIIISNGxCVCS5YsQX5+Pg4dOoSvvvoKnZ2dMBqNuOSSS3DnnXdi2bJlQx0iOY10tAjO97ZD+MGkPknQv0sL8UVNFaYlGjEvNR1ahWtbgTZbN76orcSzRw7hhvGTMDclHQDABAHC0rPBbXY4Nr4D9qsbIKQkDcXLIoQQMkJE3NBYsFGXfejIja2w/+llsIxkiBfO7zUc9nFlKd4vL8V5GdmYlmTqcy7nHNtqKnGspQl3TJ6OKUnG74/ZHXC+tQVMqYDq7htpNlkUoM8ZISRaReSCiiTycacEx+b3AK0a4nln90qCClqb8X55KealpHlMggCAMYalGdkYZTDgpYIjaOn+fnE5plJCcdG54K1mOP67LeSvhRBCyMhFiRDxi3PrbvDaBijOnwem+n4n7W6nE5sKjyM7Ng5zktMGvAZjDBdm5EIpinilKN+1xlDPsQQ9xPkzIO87AulYccheByGEkJGNEiHiM7m2EdLWPRB+MAksObHXsY8rS2Fx2HF+Zk6vXqL+qBUKnJeRjYLWFhxsauh1jE3MA8tJh+Pfn4F32/q5AiGEEOI/SoSITzjncPz7U8AQC2HmpF7Hmru78EVtFWabUqFXeb/Y3qg4A/L0Bvy3rAiSLLufZ4xBXDgT6OqG8+Ovg/YaCCGEkB6UCBGfyAeOg1fUQlwwE0wUex37uLIMKkHED0y+rw49PzUDLd3d2FVX0+t5FhcDYdZkSDsPQj7ZGFDshBBCyJkoESJe43YHHB98CZaX2WcrjNbubuypr8XMMxZK9FaSRouxhgR8WlXeq1cIAIRp44C4WDje2x5I+IQQQkgflAgRr0lfHQAsnRDnndXn2Oe1lVAKIqb2M0vMG7OTU9Fis+Fw8xm1QqIIce408BNlkAor/L4+IYQQciZKhIhXeJcNzs/3Qpg0GswQ1+uYXZKw82QNpiYaofKjN6iHSatDVmwsvqip6nOM5WWCpSTB+dEODPOlrwghhIQRJULEK9KObwCHs0+BNAB801gHmyT1u2aQL85KSkapuR3Vlo5ezzPGIMyZCl55EnJ+acD3IYQQQgBKhIgXeLcNzh3fQJg4GixG2+f41ydrkBOn92mmWH/y9AboFArsqq/tc4xlpoClGuHcspt6hQghhAQFJUJkUNKuw4DNAWHGhD7H6jutKO8wY3JCcPYEE5iASQlJ2Fd/sk/RNGMMwsxJ4BW1kEv6Dp8RQgghvqJEiAyIOyU4dxwAG5cDFqvrc3xfw0moRRF5BkPQ7jkxIQmdTieOtjT1Ocay08CS4iF9vi9o9yOEEDJyUSJEBiQfLgDMlt47y/fgHPsa6jDGEA+R+V8kfaYkjRYmrRbfNNb1OcYYg3DWeMgFpZDrm4N2T0IIISMTJUKkX5xzOHd8A5adCpbYt8en0tKB5u5ujDckejg7MOMMiTjS0gS7JPU5xsZmAzqtazo/IYQQEgBKhEi/eHkteHU9hKnjPB4/2FQPnUJEZmxs0O89zhAPuyTjWKuH4TFRhDB5NKT9R8G7uoN+b0IIISMHJUKkX86dBwFDLFi2h13kOcehpgaM0sdDYMH/NjKoNTBptTjU2ODxuDB5NCBJkPYfDfq9CSGEjByUCBGPuKUT8rcnIEwa43EX+fquTjR2dWGMPj5kMeTpDTjW2tRn9hgAMJ0WwqhMSDsP0VR6QgghfqNEiHgkfXMMACBMGOXx+HfNjVAIDFmxcR6PB8PouHh0OSWUmNs8HmeTx4A3toKXVYcsBkIIIcMbJUKkD845pD3fQhiVCab1vEji0ZYmZMfqoQhgS43BJGt1iFUqPU6jBwCWkQwYYuHc/W3IYiCEEDK8USJE+uAVJ8EbWsAm5nk83u10oNjchty44K0d5BFjyInT40hzP4kQYxAm5EH+rhC82xbaWAghhAxLlAiRPqT9R4BYnavHxYOCthZwDuTG6UMeS26sHvVdnWjt9jw7TBifCzickA6fCHkshBBChh9KhEgv3OGEdKgAwrhcMMHzt0d+awsS1Oqg7C02mOxYPRiA/DbPiyeyWB1YVirNHiOEEOIXSoRIL/LxEqDb5upp6cfx1mZkx4a+NwgA1AoFUnUxON7a/yrSwrhc8LJqyC3tYYmJEELI8EGJEOlFOnAMLDkRLMFzotPU3Ynm7u6QzhY7U2ZsHE60tfY7TZ7lZQAKBeQDx8MWEyGEkOGBEiHixru6IeeXgo3J7rfNidZWMCCsiVB2bBysDgdqrB0ejzOlEsKodEiH8sMWEyGEkOGBEiHiJh0pAiQZwgCJUGF7K5J1OqhFRdjiSo+JgUJgKGxv67cNG5MDXtcE+WRj2OIihBAS/SgRIm7SoXywdBNYrM5zA85R2NaCzJjw9QYBgMhEpOpiUNja0m8blp0KqFWQDhWEMTJCCCHRjhIhAgDg1i7woooBh8Uau7vQbrcjM4zDYj0yY+JQbG7rv05IFMFGZUA+XEBbbhBCCPEaJUIEwKlhMZlDyMvst01RexsYgAxd8HebH0xGTCw6nU6c7LT020YYnQXe1ApOw2OEEEK8RIkQAQDI351wDYvptP22KW5vhUmrhUoM3bYa/UnTxUBgrmSsPywzxTU89l1h+AIjhBAS1SgRIq7ZYkUVYHlZA7YrNrchPSb8vUEAoBBEpGhjUDJQIiSKYDnpkL+lVaYJIYR4J2oSoSeeeAKMMTDGsGfPnqEOZ1iRj5e4ZosNMCxmttvQ1NWF9CEYFuuRHhOL4n52ou8h5GWC1zdDbuh/AUZCCCGkR1QkQkePHsWaNWsQExMz1KEMS9KRItciiv3NFgNQZnat2jxUPUKAa3iszWbrd98x4NTsMYUC8pHiMEZGCCEkWkV8IuRwOHDTTTdh+vTpWLly5VCHM+xwhxNyQRnYqIwB25WY26BXqRCrVIUpsr7STyXCZR39b6XBFAqwrBRIR4vCFRYhQdfS3Y2C1hZ8XFmG/Q11qO+00mxIQkIkfKvi+WndunU4duwYDh48iD/84Q9DHc6wIxdVAHYHhFH9D4sBQKm5Hanaoe2R0ylUiFepUGJuww9MKf22E0ZlQPpiH7jZAqYfuh4sQvxR32XFb/ftxLfN389+NKjU+Mv88zAuPgECY0MYHSHDT0T3CB08eBDr1q3DmjVrMGnSpKEOZ1iSjxUDhlign73FAECSZVRazEiLgKHJVF0sSs0Db67KcjIAMEjHS8MTFCFB0uV04O/Hvu2VBAFAu92Gn+/choauziGKjJDhK2ITIZvNhhtvvBHTp0/H/fff79N5ZrO514N4xjmHdKwEQk462AB/ZVZbLHDKHGm6CEiEYmJQY+2AU5b7bcO0arBUoyvJIyFBn7PQaLHZ8FlVucdjZrsdlR30PhMSbBGbCD388MMoKirChg0bIPqwbs369ethMBjcj6ysgaeEj2S8ph4wW8ByB64PKre0Q2QMJm3/xdThkqaNgVPmqLJ43oC1B8tJh1xYDm53hCmykYU+Z6FhlyRIA9QCNXR3hTEaQkaGiEyEdu/ejSeffBIPPfQQpkyZ4tO5DzzwANrb292PqqqqEEUZ/eTjpYBKCZZmGrBdmbkdyVodRDb03y5GrRYKgaF8gIJpABBy0wGHE3IJ/f+HAn3OQkOrUECv6n9Cwmi9IYzREDIyDP1vtjM4nU7cdNNNmDZtGlavXu3z+Wq1Gnq9vteDeCYdLwHLSgUTB/42KO9oR4pu6HuDAEBkAkwaHSoGGyJI0ANxMZDzqU4oFOhzFhomjRa3Tpjq8djkhCSkRECvLCHDTcQlQhaLBUVFRTh8+DBUKpV7EUXGGF5++WUAwLx588AYwzvvvDO0wUYxbukErzoJISdtwHZdDgcaurqQMsQzxk6XotOhdJAeIcYYhJw0SMeLadoxiRqiIODCrFzcM20m9KeWqhAZw7LMHKw/ewESNf1vgUMI8U/ETZ9Xq9X46U9/6vHYjh07UFRUhMsuuwwmkwm5ubnhDW4YkQvKAA6w7IEToQqLq+clUnqEACBFG4PDTY3ocjigVSr7bcey04GjxeANLWApSWGMkBD/xas1uCpvHBalZ6HT6YBaEJGo1gz4vU4I8V/EJUJarRYvvPCCx2M333wzioqK8MADD2Du3Llhjmx4kfJLwUwJA26yCrgSIbUoIkGlCVNkg+tJyiosZkxI6D/BYRnJgChALiiFQIkQiSKiICA1AmZpEjISRNzQGAk9LsuQT5QN2hsEABUdZiRrtQNOrw+3BJUGalF091b1hykVYOnJkKhOiBBCSD8oERqBeFU90NntQyIUWX+ZMsZg0mq9WlOFZaeBl1bTNHpCCCEehTQRamlpQWVlZdCut3HjRnDOaVgsQPKJMkCtHLRuxuqwo9Vmi8iZKinaGFQMspYQAAhZqYBTomn0hBBCPAppIvTrX/8aeXl5obwF8YOUXwqWkQImDPzfX9lTKB2BiVCyVoeW7m5YHYP09CTogVidqzicEEIIOUPIh8Zo6nJk4V028KqTYFmpg7at7OiAWhRhUKnDEJlvepKzysHqhBgDy0p19YIRQgghZ6AaoRFGLq4EZO4aMhpEpcVVKI0IKpTuYVCpoRKFQbfaAFzDY7yhBbxt8LaEEEJGFp+mz/s6zNXU1ORTexJ68okywBAHpo8dtG2lpQM5cZG5YjBjDMla3aA9QgDAMlMAAFJhORRzPK/aSwghZGTyKREqLy+HIAhQermwl2Ow+g0SdtKJMginEoOBdDocaO7uxuzkwXuOhopJo0WlFz1CTKMGS050JYGUCBFCCDmNT0Nj6enpmDx5Mrq6urx6XH/99aGKm/hBbm4Dmtu9qg+qtroSjGRN5BVK9zBpdWjq6kK30zloW5aZArmwAlymmjVCCCHf8ykRmjlzJvLz82Gz2bxqH0mL8BFALqoAGHOtuDyIKksHFAJDgjpyVpQ+k+lUwXRP0jYQlpkKWLvATzaGOixCCCFRxKdEaMaMGXA6nfj222+9as85p1ljEUQurABLTgRTqwZtW23tgEmji+hkNkmtgUJgXhVMs1QjoBAhF5aHPjBCCCFRw6dE6MYbb8SGDRuQnDx4jwIAPPXUUygro2nLkYDL3JUIZQxeHwS4ps6bInyna4EJSFJrvesRUohgaSZIhRVhiIwQQki08HnWmC8zx5KSkpCURJtdRgJ+shHo7HLPoBqIQ5ZR12XFpAE2NI0URq3Wqx4hAGAZKZAPHAN3SmAKMcSREUIIiQa0jtAIIRdVAArRNUQ0iJNWCzgHTNrI7hECXHVCJ60WSLI8aFuWmQI4nOCVtWGIjBBCSDTwqUfIE7vdjq1bt6KgoABWqxW//e1vAQDd3d0wm80wGo0QBtnKgYSeXFgBlmr0qiek2toBBsAY4UNjAGDS6CBxoK7LioyYuAHbMmM8oFZBKqyAkJcVngAJIYREtIAylPfeew/Z2dn44Q9/iHvvvRdr1651H/vuu++QlpaG119/PdAYSYC4JEEurfJqthgAVFstSFBroBAif/iop46p2puCaUEASze5VtcmhBBCEEAitHPnTlx11VVQq9V45plncN111/U6PmfOHIwZMwZvvfVWwEGSwPCqesDu8LpQutpijoreIABQiSLiVSpUWyxetWcZKeAVteB2WuyTEEJIAENjjz76KOLj43HgwAEYjUY0Nzf3aTNr1izs3bs3oABJ4OTiCkClBEtOHLwx56i2WPADk3dJUyQwarWosXqXCAmZKZAlGXJZDcTxuaENjBBCSMTzu0do7969uPzyy2E09l98m5WVhbq6On9vQYJEKqoESzOBeVGr1WLrRrckuRcrjAZJmlNT6L1ZsypBD+g0NDxGCCEEQACJkM1mg14/8IacbW1tVCg9xLjTCV5e43190KkhpkhfQ+h0Jo0OFocDZrt90LaMMQjpya5ZdIQQQkY8v7OUvLw87N+/f8A2u3fvxoQJE/y9BQkCXnkScDgheJkI1XR2QCOKiFV4t7FuJHAXTHuxsCIAICMZvLoOvNu7rWIIIYQMX34nQldeeSV27tyJDRs2eDz+5JNP4ujRo7jmmmv8Do4ETi6qBNQqICneq/bVVguMWi0QwVtrnEmvUkMlCt7XCWUkAzKHXFod4sgIIYREOr+Lpe+77z689dZbuPXWW/Hqq6+6N2K9//77sXv3buzatQvTp0/HXXfdFbRgie+kYu/rgwCgxtKB9JjYEEcVXIwxJGm8L5iGIQ6I0UIuqYI4aXRogyOEEBLR/E6EYmNj8dVXX+Guu+7Cm2++CUmSALh6ghhj+NGPfoTnnnsOarU6aMES33CHE7yiFsLZ07xq75AkNHZ1YVqSKcSRBZ9R7cNWG4yBpSdTwTQhhJDAVpZOSEjAv/71L/zlL3/B/v370dLSAr1ej9mzZyMlJXqmXw9XvKIWcEpe1wfVWq3giI4Vpc9k1GpxrLUJkixD9KL3S8hIhvTlN+BdNjAtJeuEEDJS+Z0InXfeeZg/fz4effRRJCUl4aKLLgpmXCQI5JIqn+qDajotUbO1xpmMGh1kDtR3WZE+yFYbAMDSkwHOIZdV0/AYIYSMYAGtI9QzHEYik1RcCZZuAvOy8LnG2oF4tToqttY4U8/MsRovV5iGIdZdJ0QIIWTk8jsRmjBhAioqaC2WSNVTH8TSvRsWA1z7dUVjbxDg2mpDr1KhptPLrTaoTogQQggCSIR+/vOf491338Xx48eDGQ8JEl550lUf5G0ixDlqrJaoTYQA15BejbdrCcFVJ8Rr6mk9IUIIGcH8rhHKy8vD4sWLMXfuXNx2223uAmlPwzALFy4MKEjiO7m4Z/0gg1ftzXY7Op1OJEVxIpSk0aKwrcXr9izd5FpPqKwG4sS8EEZGCCEkUvmdCC1evBiMMXDO8dRTTw1Yh0K1ROEnlVSBpRm9Xz/o1JBStPcI7bfbYXU4EKP0YmVsQxygO7WeECVChBAyIvmdCD388MNeF+GS8OJOybV+0OwpXp9TY+mAUhRgUEXvVPKeJK7WasHY+IRB27vqhExUJ0QIISOY34nQ2rVrgxgGCSZe5dpfzJdC6ZpOC5LUmqhObhPUaggMqO30LhECXMNj8teHwG12MLUqxBESQgiJNLQ1/DAkl1QBKiWYMd7rc2qslqiuDwIAgQlI1Gi9n0IPuIrJZRlyeW0IIyOEEBKpIi4R6u7uxj333IOFCxciPT0dGo0GqampmD9/PjZs2ACHwzHUIUY8qbgKLNX7+iBJllHXaY3q+qAeRrXW6yn0AIAEPaDV0HpChBAyQvmdCAmCAFEUB30oFL6NvlksFvz9738HYwzLly/HPffcg5UrV6KmpgarVq3CpZdeClmW/Q172OOSBF5e49OwWFN3F5wyR5I6+hOhJI0WtVYLwLlX7RljYGlGyCVUJ0SGBy7J4LJ33/+EkABqhBYuXOixnqS9vR1FRUWwWq0466yzEB8f79N1ExMT0d7eDpWqd72G0+nEBRdcgM8++wwff/wxli9f7m/owxqvrgfsDtfUcC/19KCYtNGfCBm1WtgkCS22biR62cPF0pMh7z4MbneAqbyYbUZIBJLbzJDLaiAfygd0WijOmQ4kxUOIif7PNSGh5HcitH379n6PdXZ2YvXq1fjkk0+wZcsWn64rCEKfJAgAFAoFVq5cie3bt6O4uNjXcEcMuaQKUCrATIlen1NrsUCnUECriP4kwKj+fuaYt4mQkJ4MWZIhV9RCHJsTyvAICQm51QzH318Hb2pzP2ffdwTi+XPBFs8B02mGLDZCIl1IaoR0Oh3+8pe/wGAw4L777gvKNWVZxieffAIAmDLF+2nhI41ccqo+SPT+vzbaV5Q+XZxSCbUo+lYnlGQA1Crw0urQBUZIiHCnE9IX+3olQT2krXvA28zhD4qQKOJ3j5A3FixYgFdeecWvc+12Ox577DFwztHc3Ixt27ahoKAAt9xyC5YuXdrveTabDTbb91smmM0j54cAl2XIZdUQpo336byaTguyYmJDFFWYMYYkH2eOueqETJCKK6G4cH4Igxs+RvLnLNJwSxekfUf6PS4dKvB+qx1CRqCQJkKNjY2w+PAL6XR2ux2PPPKI+2vGGO69916sX79+wPPWr1/f67yRhNc2AN12sAzvf+jZJQnNXV2YkeR9TVGkM6o1qLH69n3H0k2Q9x0BdzrBfCzwH4lG8ucs4nAOOJz9H6e99AgZUEiGxmRZxubNm/HGG29g+vTpfl0jNjYWnHNIkoSqqir87W9/wwsvvIDFixcP+NfnAw88gPb2dvejqmrkTIuWS6oAhQiW7H190EmrFRyI+jWETpek1aK+ywrJh9mFLD0ZcErgVXUhjGz4GMmfs0jDtGoIA2wRI0yfEMZoCIk+AW266onT6URDQwMcDgeUSuWgPTiDEQQBmZmZuOOOO2A0GvGjH/0I69atwxNPPOGxvVqthlodvdtEBEIurgJLSQITRa/Pqem0gCG69xg7k1GjhcyB+i4r0mPivDqHGeMBlRJySRWEUZmhDXAYGMmfs0jDNGooLl0Ee3ElYO+9zhobnQXB5N0q64SMVH73CMmyDM55n4dSqcSUKVPwv//7vzhw4AAWLVoUtGCXLVsGYOAZayMVlznk0mqwNN+GuGqtFhjUaigE75OnSNczc8yX4TEmCGCpRkjF1LNBog8zJUJ1940QfjAR0GnAEg1QrDgPyut/CKYfJvV/hISI3z1C5eXlQQzDO7W1rm0QlN7sLD7C8LomoKvbp4UUAaDG2gGjZnhNrVUrFIhTqVBjtWC2D+ex9GTIB4+DS5JPvWqEDDUmCmApSVBefRF4d7drjbe4mKjeO5CQcIm4LTaOHz+Ozs7OPs93dnbinnvuAQBccskl4Q4r4sklVYDg+mHoi9phsMeYJ0lqjWuFaR+wdBNgd4BXN4QoKkJCi6mVEAxxYPpYSoII8ZLfiZAoinj00UcHbLNu3Tqft9h48803kZqaiksuuQR33nknVq9ejRtuuAHZ2dn45JNPsGDBAtx9993+hj1syaVVYMmJYErv3+8Oux0dDod7KGk4MWq0vs8cMyUCCgVtt0EIISOI30NjPTVB3rTzxaWXXora2lrs2rULu3fvhsVigcFgwLRp0/DjH/8Yq1at8jm5Gu4455CLKyGMz/XpvJ4eE+Mw2FrjTElaLb5prEe30wGNlytmM1EAS01y9a6dd3aIIySEEBIJQr6OkNbHX7KzZs3CrFmzQhTR8MQbWgBrl+/1QZ0WKASGeNXwqhECTiuY7rRgtN77WTMsPRnytyfAZRlMiLiRY0IIIUHmUyK0adOmXl8fPny4z3MA3Gv/bNq0ibbDCAO5pBI4tYu6L2qtFiSptcOyliBRo4HAXPuo+ZQIZSQD+46A1zSAZaWGMEJCCCGRwKdE6Oabb3b/0mSM4d1338W7777bp13PcJhWq8XatWsDj5IMSC7pqQ/ybTZdtaUDSdrh1xsEACITkKD2o04oORFQiK71hCgRIoSQYc+nRGjDhg0AXInOqlWrsGLFClx++eV92omiiMTERMybNw8JCbSYVyi56oOqIIzJ8uk8mcs42WnFvLi0EEU29IwaDap92XwVABNFsJRTdUKLfZl8TwghJBr5lAjddNNN7n9/+eWXWLlyJS677LKgB0W8x5tagQ6rz/VBTd1dcMjysFpR+kxJGi0ONta79mLyYfiPpSdDPloELnMwYfgNGxJCCPme38XSPb1DZGjJJVWn6oN8W1G6ZhjPGOth0mjRLUlotdmQ4MOikSzdBOw/Cn6y0acNbAkhhESfoMwakyQJTU1NsNk873KcnZ0djNsQD+SSKjBTApjKt/qgWosFOoUCOoUqRJENvZ6FImusFt8SoRQjIAqQSyohUCJECCHDWkCJ0IEDB/Dggw9ix44dsNvtHtswxuB0OgO5DemHe/0gPzYJrekcnitKn06vVEEtiqjp7MCUJO9n1DGFCJZidPW2LaSlHAghZDjzOxE6fPgwFixYAIVCgWXLluH999/HWWedhdTUVBw8eBCNjY1YvHgxcnJyghkvOQ1vbgPaLT7XBwFAtdWCrFjvdmaPWoy5Vpi2+FYwDbiGx+RjJVQnRAghw5zfK8b1bK+xd+9e9xT6lStX4uOPP0Z5eTluv/12HD16FGvWrAlOpKQPubjKr/WDbJITzV1dMA3zHiHANTzm6xR64NR6Ql3d4CcbQxAVIYSQSOF3IvT111/jsssuw8SJE93Pnb5+0LPPPov09HQ8+OCDgUdJPJKLK131QWrf6nxqrVZwYFjuMXYmk0aLui4rHLLs03mn1wkRQggZvvxOhNrb25GXl+f+WqlUwnLaEIQgCFi8eDG2bdsWWITEI1d9UIVfw2I11g4wYNgupng6o1YLzoE6X9cT6qkTKqJEiBBChjO/E6Hk5GS0tra6v05NTUVRUVGvNt3d3ejs7PQ/OtIv3tQKmK1+Te+utnYgUaOByMQQRBZZktTfzxzzFctIhlxaBS77tnEwIYSQ6OF3IjRp0iScOHHC/fX8+fPx2WefYffu3QCA/Px8vPnmm5gwYULgUZI+5OJKv9YPAlyF0sN5IcXTqUQR8SqVnwXTyUCXDby2IQSREUIIiQR+J0LLly/Hjh07cPLkSQDAb37zG3DOce6558JkMmHq1Kloa2ujGqEQkYsrXfuL+bh+EDhHrWX4T50/nVGrRZW1w+fzWGqSa9+xYhoeI4SQ4crvROj2229HTU0NkpKSAABnnXUWtm3bhosuughGoxHnn38+3n//faxcuTJowRIXzjnkokq/6oOabd3oliQka3UhiCwymTQ6VFs6XFtt+ICJIliqEXJRRYgiI4QQMtT8XkdIqVQiJSWl13PnnHMOPvzww4CDIgPj9c2ApdO/+iCLq2dkpAyNAa4eoU6nE212G+LVvhWIs/RkyN+eAJdkMNHvvxsIIYREKPrJHoXk4kpAEPyrD7J0QKcQEavwcUgtipk0rt6van/qhDJTAJsdvLo+2GERQgiJAAElQk6nE08//TTmzJkDvV4PheL7DqbDhw/jzjvvRGFhYcBBkt7kogqw1CQwpe8deq5CaZ1Pu7FHO/dWG/7UCZkSAaWChscIIWSY8jsR6urqwpIlS3DvvfeioqICer3evaAiAIwaNQobNmzApk2bghIoceGy7CqUzkgZvLEH1dYOmEZQfRAAgDGYtFpU+5MIiQJYejIkSoQIIWRY8jsReuyxx7Bz506sX78edXV1uPXWW3sdNxgMWLRoET799NOAgyTf4zUNQJfNr/qgbqcDzd3dMGpHTn1QD6NGi0qL74kQ4FpPiJdVgzto82BCCBlu/E6E3njjDSxZsgT3338/GGNgHoZa8vLyUFlJU4+DSS6qABQKsJQkn8+tPrWoYLJmhPUIwfWam7q6YJN8T2aEzBTAKUEurwlBZIQQQoaS34lQZWUlZs2aNWCbuLg4tLe3+3sL4oFUWAGWbgITfV8VusrSAYXAkKBWhyCyyGbS6sDh3wrTSIoHtGraboMQQoYhvxOhuLg4NDQMvOJuSUkJTCbfZzYRz7jTCV5W7Xd9UJWlA0kaLQQ28iYLJmo0EJjrPfAVYwxCejLkwvLgB0YIIWRI+f0bce7cuXj//ffR1tbm8XhVVRU++ugjLFy40N9bkDPI5bWAw+kaqvFDpaXDPZV8pBGZAKNG61ciBLim0fOqOvAuW5AjI4QQMpT8ToTuu+8+tLa2YunSpdi5cyecTlftRWdnJ7Zt24YLL7wQTqcT99xzT9CCHenkwnJAqwaM8T6f65Bl1HVaRtSK0mcyaXWotJj9OpdlpQKc03YbhBAyzPi9svTChQvx7LPP4pe//GWvXp+4uDgAgCiKeO655zBz5szAoyQAAPlEOYSMFI+F6YM5abVA5kDyCJwx1sOk1aGgtRmSLEMUfPsbgOljAUMs5MJyiFPHhihCQggh4eZ1IvTee+9hwoQJGDdunPu5O+64A4sXL8b//d//Ye/evWhpaYFer8fZZ5+NO++8E5MnTw5J0CMR7+wGr66HsGjgAvX+VFrMYBhZW2ucKVmrg8SB2k4LsmL1Pp8vZKRAPlEWgsgIIYQMFa8ToZUrV2LNmjV4+OGHAbimxt999934+c9/jmeeeSZkARIXuagC4Nw1ROOHKksHkrRaKATfZ5sNFyaNFgyu98KfRIhlpUI+XgK5pR1CoiH4ARJCCAk7r8cHlEolHA6H++vy8nK0traGJCjSl3yiDEjQg8XF+HV+RYcZySO4NwgAlIKIRI0GlR1+1gllpgCMQT5RHtzACCGEDBmvE6Hs7Gx8/fXXkCTJ/Zw/tSrEd5xzSAVlEDL96w2SZBm1I7xQuodJq0OFvzPH1CqwlCQaHiOEkGHE66Gx6667Dr/73e+QmJiIpCTXqsZPP/00NmzYMOB5jDGUlJQEFuUIxxtagLYOsPkz/Dq/ttMCp8yRrPOvN2k4SdHqsLOuxq+CaeDU8NiRQnBJBhNH3npMhBAy3Hj9k/yhhx7CY489hmnTprm31OCcD/qQZdmngGpqavDnP/8Zy5YtQ3Z2NlQqFVJTU3HllVdi7969Pr/A4UAuKANObf7pj8qODjBgxA+NAUCKNgZOmeNkpx8rTANg2WlAtx28sjbIkRFCCBkKXvcIKRQKrF69GqtXrwYACIKAu+++2108HSx//etf8cQTT2D06NFYtmwZTCYTioqK8M477+Cdd97Bq6++imuuuSao94x0UkEZWHoymNK/1Q4qLeYRXyjdw6R1FUxXdHQg05+CaVMCoFG5hipHZQY/QELCzC5JaLPbwAAkqNX0c4KMOH6vI7RmzRosXrw4iKG4zJkzB9u3b8eiRYt6Pf/VV19h6dKluOOOO7BixQqoR8h+WdzuAC+phDBnqt/XKOtoR8oIXj/odEpBRJJWi0qLGfOR4fP5TBAgZKZCzi8FLl4QgggJCZ9aqwWvFxdgS3UFGAOWZ4/GlXljkUrD6GQE8bvIYc2aNSHZPuOKK67okwQBwIIFC7BkyRK0trbiyJEjQb9vpJKLKwGnBCE7za/zHbKMWqsFKdrYIEcWvVK0WpR1+L8ZMMtOA6+uB++wBjEqQsLrpNWCn27/FG+UnECLrRvN3d3YVHgMd361FfWd9L1NRo6oqvZUKpUAXMN0I4WcXwroY4AE34dxAKDa0jHiV5Q+U4o2FrVWCxw+1q/1YKeSUrmAZo+R6CTJMt4rL0GLrbvPsRqrBbvqqQaOjBxRkwhVVlZi69atSEtLw9Sp/Q8T2Ww2mM3mXo9oxTmHdLwEQlaa30sVlHe0Q2QMJpo675aq1UHmQLW/+47pNGDJiZCOj9zZkMPpczYStdtt+Ly2/33zPqksg8VuD2NEhAydqEiEHA4HbrjhBthsNjzxxBMQxf6L+davXw+DweB+ZGVlhTHS4OL1zUCrGSw33e9rVHSYkazVQWRR8V8dFq7CcYZyPxdWBACWkw65oAz8tHW1RpLh9DkbiQTGoBqgKFotKiAKtE4cGRki/rejLMu4+eabsWPHDvzP//wPbrjhhgHbP/DAA2hvb3c/qqqqwhRp8MnHSwCFCJbh37R5ACjtaEeKjnqDTicyASatDmVm/+uEhJx0wGaHXFodxMiix3D6nI1E8WoNrhk9vt/j14wZD61CGcaICBk6EV1sI8syVq1ahVdffRXXX389/u///m/Qc9Rq9bCZUSYdKwHLTAHzsybK6rCjqasLs03+rUg9nKVqdQEVTMOUAMRoIR8vgTg2J3iBRYnh9Dkbqc5OScdMYwoONNX3en5xeiYmxCcOUVSEhF/EJkKyLOOWW27Bpk2bcO2112Ljxo0Q/FgJOFpxaxd4eQ1EP3ebB4CyU0M/qVQf1EeqLhaHmhrRYbcjTqXy+XzGGFhOGuSjxeCXLaHtZkjUMWm1+N2c+Shub8N75cVQMAGXjxqDUXEGJGo0Qx0eIWETkYnQ6UnQNddcg82bNw9YFzQcyfmlrt3mc/yvDyozt0OnUMCgor/cz5R2ap2UMnM7phlNfl1DyM2AdLwUvKEFLCUpmOEREhZGjRZGjRazTSlgDBColpCMQBH3Xd8zHLZp0yZcffXVeOWVV0ZcEgQA0tEisJQksBj/p72XmttcC6NRb0UfeqUKsUolSjva/L4Gy0wBFArIR4uDFxghQ0AUBEqCyIgVcT1Cv/vd7/Dyyy8jNjYW48aNw+9///s+bVasWIHp06eHP7gw4XYH5IIyCDMm+n0NSZZR3mGm+qD+MIY0XQxKzW3+X0KhAMtKhXSkEIqlZwcvNkIIIWETcYlQeXk5AMBisWDdunUe2+Tm5g7rREguqgDsDgijfN8CokdtpwU2SUJaDC2V3580XQx21df6vRM9AAijMiB9vhe8vQPMEBfkCAkhhIRaxPWFbty4cdAd7W+++eahDjOk5O8KXStJ+7maNACUmtshMCCFCqX7lR4TC6fMUWXp8PsaLDcdEBgkGh4jhJCoFHGJ0EjHJQnS0SIIozIDmolU3N6GFG0M7SQ9AJNWB4XAUBzI8JhGDZaRAunbE8ELjBBCSNhQIhRh5OIqoMsGYXSm/xfhHMXtrUiPoY1WByIyAam6GBS3twV0HZaXCV5aBW7pDE5ghBBCwoYSoQgjf1sA6GMBY4Lf12jq7kK73Y5MSoQGlRETi+L2VnDO/b6GMCoT4IB0pCiIkRFCCAkHSoQiCJckSN8VQhidFdCwWFF7GxiAdB0lQoPJ0MWh0+nEyU6r39dgOg1YRjKkwwVBjIwQQkg4UCIUQeSiSqCzG8KYwDawLGpvhUmrhdrPrTlGkvSYGAjM9Z4FQhidBV5SCd7hf0JFCCEk/CgRiiDSoXwgPi6gYTEAKGxrQUYsTeX2hkIQkaaLRWFbS0DXYaNdySsVTRNCSHShRChCcIcT8neFEMZkBzQs1tTdiRabDVkxlAh5KzMmFifaAqsTYho1WFYapIP5QYyMEEJIqFEiFCHkY8WAzQ4hwJ3MT7S2ggHIpETIa1mxrjqhGqsloOsIY7PBy2sgN7cFJzBCCCEhR4lQhJC+OebaWyyARRQBoKCtGSk6HVQjcH82f6XFxEAhMBQEOjw2KhNQKiAfOB6kyAghhIQaJUIRgFs6IReUgY0LrDeIc46CtlZkxwaWTI00IhOREROL/NbmgK7DlAqwvExI3xwNaJiNEEJI+FAiFAGkUz0IgQ6LVVs6YHU4kE2F0j7LjtWjuL0NDlkO6DrChFHgTW3g5TVBiowQQkgoUSI0xDjnkPYdActNB9OoA7rW8bZmqEQBabSQos9y4gxwyDJKApxGz9KTAX0MpH1HghQZIYSQUKJEaIjxqjrwk40QJuYFfK1jLU3IjImDyOi/1VdGtQaxSiWOtQQ4PMYYhPGjIB0qAO+2BSk6QgghoUK/MYeYtPtbIFYHlpUa0HU6HQ6UmNuRG2cIUmQjDGPIidPjaEtTwJcSJowCHE7XulCEEEIiGiVCQ4h32SAdyocwMQ9MCOy/Ir+tGZwDo/SUCPlrVJwB9V2daOoObPNUFhcDlp0GaddhKpomhJAIR4nQEJK+OQY4nBAmjQ74Wkeam2DSahGnVAUhspEpO1YPkTEcaQ5Cr9CUMeA1DeCVJ4MQGSGEkFChRGiIcJlD2nkQbFQGWIw2oGtJsowjLY3Io2GxgKhEEVmxcTjc1BDwtVhWKqCPhfPrg0GIjBBCSKhQIjRE5MJy8IYWCNPGBXytovZWdDkljNbHBx7YCDdaH49icxusDntA12GCAGHKGMiHC8DNga1YTQghJHQoERoizi/3gxkTwNJMAV/rUFMDDCoVkrW6IEQ2suUZDAAHvg3G8NjEPEAQ4Nx5KAiREUIICQVKhIaAXNsAfqIcwvTxAW2wCriGxQ43NWC0IR4I8FoEiFGokBEbi4NNdQFfi6lVECbmQfr6ELgtsB4mQgghoUGJ0BBwfrHPNWV+dHbA1ypub0OHw4FxhoQgREYAYKwhAQWtLbA6HAFfSzhrPNBtg7SXFlgkhJBIRIlQmMnNbZAP5UOYPgFMDPzt399Yh3iVCqnamCBERwBgrCEeHMDBxiD0CsXFQBibA+cXe8GdzsCDI4QQElSUCIWZtHU3oFEHZSVphyzhYGM9xscn0rBYEOkUKmTH6rG3IfBECACEH0wE2i2Q9h0NyvUIIYQEDyVCYSQ3tULafxTCjIlgSkXA1/u2qRHdkoSJCUlBiI6cblJCEkrN7WjsCmxxRQBgiQYIY7Ph3LKLeoUIISTCUCIURs6Pvwa0GgiTA19AEQB21dUgPSYW8WpNUK5Hvjdab4BaFLGrrjYo1xNmTQHMVkg7DwfleoQQQoKDEqEwkavrIB/KhzhrMpgi8N6gpu5OFLS1Ykoi9QaFgkIQMT4+EbvqayHJcsDXYwl6sAmjXL1CXd1BiJAQQkgwUCIUBpxzON75HCzRABaE2iAA+Kq2GhpRpNliITQtyYQOux3fNjcG5XrinKmAwwnnlt1BuR4hhJDAUSIUBvK3J8BLqyGcMz3gzVUBwC5J2FlXi0mJSVAIYhAiJJ4YNVpkxsbi89rKoFyPxWghzJgI6asDkOubg3JNQgghgaFEKMR4t83VGzQqE0J2WlCuubu+Fl1OJ6YnJQfleqR/05OSUdrejnJze1CuJ0yfAMTo4HhrC+1MTwghEYASoRBzfrgD6OqGeO6MoFxPkmVsra7AWEMC9Cp1UK5J+jdaH48EtRqfVpUH5XpMIUJcOBO8uBLSfppOTwgJrfLycjDGcPPNN/t9jdzcXOTm5gYtpjNt3LgRjDFs3LgxZPcYSEQmQq+88gpuu+02zJo1C2q1ekjfoEBIhRWQdh6CMHcaWFxwFjzc31iH5u5uzE5ODcr1yMAYY5hpSsG3zY2otXYE5ZpCdhqE8blwvrMNvNUclGsSQgjxT0QmQg899BD++c9/oqKiAmlpwRlOCjdu7YLjtQ/BMpIhTBkblGtKsowPK0ox2mCAiTZYDZtJCUkwqFR4r7w0aNcUzv0BoFDA/uqH4EGYlUYIIcQ/EZkIvfDCCygvL0djYyNuv/32oQ7HZ1zmcLz+MWCzQ1w6N+CNVXvsOFmNlu5unJOSEZTrEe8ITMDc1HR819yIEnNrUK7J1CqIS88GL6mCRLPISJTh1i7IDS2Q65rA2y1DHQ4hAYnIROj8889HTk7OUIfhN2nbbsjHiiGeNxcsNjg9NxaHHR9UlGByohFJGm1Qrkm8N8GQiBStFm8Wn4DMg9ODI2SkQJg9Bc5Pd0I6XhKUaxISSpxzyHVNsL/wH9gffwH2P7wE+1//BelEGbgt8E2KSXgcOHAAd911F6ZMmQKDwQCtVoupU6fi8ccfh2OAzabb2tpw2223ITU1FRqNBjNmzMBrr73msS3nHC+99BLmz58PvV4PnU6HWbNm4aWXXgrVy/JbRCZC0Uw6XADnx19DmD0FQm560K77VkkhOAfmpwbvmsR7jDEszshGlcWCHSdrgnZdYdZksNwMODa/D7m2IWjXJSQUeIsZ9r/+C7zi5GnPtcPxz3+DN9CSENHi+eefx3//+19MnToVt912G37605+Cc44HHngAP/7xjz2eY7fbcf755+PLL7/EDTfcgFWrVqGqqgrXXXcd/vrXv/ZqyznHT37yE/z0pz9FY2MjrrvuOtx6662wWq346U9/invvvTccL9NrgS9xTNykogo4/vUBhLE5EGZNDtp1jzY3YW9DHS7IzIZWoQzadYlv0nSxmJZkwjtlRZiSkARjEOq0GGMQL5gL6Z3PYf/Hv6H6xU8gJMUHHiwhISAfKwK6bH0PcMD58VdQ3vBDMC1t+RPpHnzwQfztb3+DKH6/Dh3nHLfeeiteeukl7Ny5E/Pnz+91zsmTJzF27Fjs2rULKpXKfZ0ZM2bgvvvuwxVXXIGMDFfZxgsvvIDXXnsNt9xyC/7xj39AqXT93rLb7bjqqqvw1FNP4dprr8XMmTPD9IoHNux6hGw2G8xmc69HOEhFFXC88JarOPq8OUGrCzLbbNhUeAyj9HpMTjAG5ZrEf+emZkAnKvBiwdGgbL0BAEyphLh8ISAIsD/3OuTmtqBcN5SG6nNGhg53OiEXVvR7XK6qo+GxKJGdnd0rCQJcf5T97Gc/AwBs3brV43mPPfaYOwkCgMzMTPzyl7+EzWbD66+/7n7+2WefRUxMDP72t7+5kyAAUKlUWLduHQD0O6Q2FIZdj9D69evxyCOPhPWe0pEiODa/B5ZmgnjRuWBicFZ7dsoy/pn/HQBgWWYuEKTkivhPJYq4KHsU3iw5gTdLTuDaMROC8v/CdFooLlsM53vbYf/rv6D636shpEfugplD8TkjQ0wUwYz9b+nD9LFgClrpPhrY7XY8++yzeP3111FQUACLxdJrgdfa2r6bTSsUCsybN6/P8wsWLAAAHDp0CADQ2dmJI0eOID09HU888USf9j01SAUFBUF5LcEw7BKhBx54APfcc4/7a7PZjKysrJDci3MO6fN9cH74JYTRWRDOnxu0JEjmMl4+cRSVFjOuyhtHQ2IRJFUXi/MysrG1uhJGjRYXZOUG5bosLgaKledB+nAH7H99FcqfLIcYpKUXgi2cnzMSGRhjEOdOg/TVN4CHRdEV588L2uQQElpXXXUV3n//fYwbNw7XXHMNkpOToVQq0dbWhmeeeQY2W9/hT6PRCMHDFlEpKSkAgPZ21+r7ra2t4JyjpqZmwD+WrFZrkF5N4IZdIqRWq6FWh37FZd5hheP1TyDnl0CYOQnCnKlBGw6TZBmvFB7HwcYGLM/JQ6ouNijXJcEzJdG1Iet/y4ohMobzMoMzy5HptBBXnAdp2144Xvov5IUzoVi+CEwZWR/VcH3OSGRhCXoof3IpHK99DEiS+3lx4UwIY7OHMDLirf379+P999/HhRdeiA8//LDXENmePXvwzDPPeDyvqakJsiz3SYbq6+sBAAaDAQCg1+sBADNnzsQ333wTipcQdJH10zUKcFmGtO8InO9/CTBAvGRhUGeHdTkceOnEUeS3NuOi7FEYQ7vLR6x5KemQOPCf0iK02mxYMWoMxCBsqsuUSogXzof8XSGknYchHy+F4qoLII7LDTxoQgLA1CoIU8dClZMOfrIR3OGEkJECFqejIukoUVLiWqpj+fLlfeqEvvrqq37Pczqd2L17d58i6p5zZsxwbSMVFxeHiRMnIj8/H21tbYiPjw9i9KEx7IqlQ4XLHNKRItifehnONz+FkJUCxTUXBTUJKmlvxWOH9qK4vQ2X547B+PjEoF2bhABjODctA4vTM/F5bSX+fOQAmro6g3RpBvGs8VBcvQxQKeD4vzdh/+e/IVf0HbsnJJyYUgkhKR7ilLFQzJgIITmRkqAo0rNG39dff93r+WPHjmH9+vUDnvvggw/Cbre7v66ursYzzzwDtVrda9r9L37xC3R2duJ//ud/PA6BlZWVoby8PIBXEVwR2SP0wgsvuP+Tjhw54n5u+/btAIBzzz0Xt956a1hi4R1WSAePQ9p1GLyxFSwjGeIV50NIDd4MrqbuTnxYXoq9DXVIj4nBZTmjYVDTD5ZoMd2YApM2Bp9VleF3B3bj/MwcLM3IQYwy8LoulmiAePl5rhWo9x+F/ZlXwEZlQDFvOoSpY8HUqsEvQgghp8yZMwdz5szBm2++iZMnT2Lu3LmorKzEe++9h+XLl+M///mPx/PS0tJgtVoxbdo0/PCHP4TVasWbb76J5uZm/OUvf3FPnQeA2267DXv27MHLL7+MnTt34vzzz0d6ejrq6+tRUFCAvXv34tVXXw3pRq6+iMhE6Ouvv8bLL7/c67mdO3di586d7q9DlQhxWQavbYRcVAHpeAl4aTXAGIS8TAjnzoSQFpwEyCnLKGhtxq76Wnzb1AitQoGlGdmYkmgMWq0RCZ+MmFhcP24S9jXUYWt1BT6vqcTZyWmYk5KKvLj4gP5PGWNgY7LB8jLBy2shHymE49UPAaUCwvhcCBPzIIzJBjMm0PcOIWRAoijigw8+wOrVq/HJJ59g//79GDt2LJ588klcfPHF/SZCKpUKW7ZswerVq7F582a0tbVhwoQJ+Otf/4prr722V9uejdIvueQSPP/88/jggw9gsViQnJzsvtf5558fjpfrFcZPnzM3DJnNZhgMBrS3t7uLuM7EW9rh/GIf5NoG8JoGwO4AFCJYejKEURlgo7PANMErDD3YVI+XC47BIcswarWYmmjE5IQkKASaejocdDkdONzcgOMtzehwOBCnUuGXU3+A9JjgFb1zswVycRV4eQ14fTPAOaDTgmWmQMhMgeKCeWHtLfLmc0YIIZEoInuEgqknzxtowTdh33dQ7HStgcBjdeCZyeBJ8YAoADYbcLw4qDFJba2YbbYiQxsDnUMCzPXoKK8P6j3I0JoAYDwYWmwcLfZ2dDqPo1sXE/wb5aYBGSawhhawxjagsBxSYTm6s1PAB6lfi4uLC1oPkjefM0JGomB+zkhoDPseoerq6kHXN7ls9GS8cdmNcAZppeBBMYAxqlMfSXiYvrcUggCrw46zX/kzStoG3vspmL033nzOCBmJqJc08g37REiWZdTW1o6IrLxnUbuqqqoR/cGj98G79yCYnwn6nI089D64DPY+jITPRLQb9kNjgiAgMzNzqMMIK71eP6J/MPWg9yF87wF9zkYueh9c6H2IXjQ+QwghhJARixIhQgghhIxYlAgNI2q1GmvWrBnxe0DR+0DvQSjRe+tC74MLvQ/Rb9gXSxNCCCGE9Id6hAghhBAyYlEiRAghhJARixIhQgghhIxYlAgRQgghZMSiRIgQQgghIxYlQoQQQggZsYZ9IsQ5h9lsBq0SQEjo0OeMEBIKq1atAmMMSUlJsNlsIbnHsE+EOjo6YDAY0NHRMdShEDJs0eeMEBJsHR0dePPNN8EYQ0tLC955552Q3GfYJ0KEEEIIiT5vvPEGrFYr7r77bgiCgBdffDEk96FEiBBCCCER58UXX4RCocD999+PJUuWYNu2baioqAj6fSIyEcrNzQVjzONj8eLFQx0eIYQQErW4LEMqroR08Dik4kpwWR7qkPo4fvw49uzZg2XLliElJQU33ngjZFnGhg0bgn4vRdCvGCQGgwG/+tWv+jyfm5sb9lgIIYSQ4UD6rhCO/24D2k+r5zPEQblyKcRp44YusDP0DIPdcMMNAIArrrgCd955JzZs2ICHH34YghC8fpyI3HS1J9kpLy8P+FpmsxkGgwHt7e3Q6/UBX2+44JyDmy2ApQuQZSBWB6aPARPFoQ6NRCH6nBES+aTvCuHY+E6/x5U3r4iIZMjhcCAjIwM2mw319fXQaDQAXEnRK6+8gk8//RTLli0L2v0icmiMhBaXJPCyGtifeQX2pzbC/vQm2P+4AdKhAvDu0ExPJIQQMnS4LLt6ggbgeGdbRAyTvfvuu2hsbMTVV1/tToIA4MYbbwSAoBdNR+zQmM1mw8aNG1FbWwu9Xo/Zs2fj7LPPHuqwhgXe0g77398AJOn7J7ttcL76Idhd10HMyxy64AghhASdXFrdezjMk7YOyKXVEMdkhyeofvQkOj2JT4+lS5ciIyMD7777LlpaWpCYmBiU+0VsIlRXV4dbbrml13OzZ8/Ga6+9htGjRw9RVNGPyxzS/qO9k6DTSJ98DeGWFWBajcfjhBBCopDZEtx2IVJVVYXPPvsMALBo0aJ+273yyiv4xS9+EZR7RmQidMstt2DBggWYMmUKYmNjUVhYiD/96U/YvHkzli5diiNHjiAuLs7juTabrdfqk2azOVxhRwenE7yqrt/Dcn0zYHcAlAiRAdDnLDJxaxd4SzvgdAI6LVhSPJiC6v4IAH1scNuFyMaNGyHLMs4991yMHz++z3Gn04mXX34ZL7744vBOhNasWdPr6+nTp2PTpk0AgM2bN+P555/HPffc4/Hc9evX45FHHgl5jFFLoQBLTwZOlHs8zEzxgFIZ1pBI9KHPWeTgHVZIu7+FdCgfvL6590GFCGFMNsSzp0GYOhYsiDNtSHQR8jIBQ9zAw2Pxca52Q4Rzjg0bNoAxhpdffhl5eXke2xUWFmL37t345ptvMGvWrIDvG1Wfittuuw0AsHPnzn7bPPDAA2hvb3c/qqqqwhVeVGACg3j2VKCfH4iKC88F01FvEBkYfc6GHndKcH62C7bf/wPOrXuA+DiI58+F4qplUPz4YogrzoMwZyp4uwWOl991TYgorhzqsMkQYYIA5cqlA7ZRrlg6pMny559/jrKyMixcuLDfJAiAu2wmWEXTETl9vj8nTpzAhAkTcOGFF+KTTz7x6hya1tsXdzghl1bB8coHgLXL9aRSAcUPF0P8wSRKhIjP6HMWXnJzGxwb3wE/2Qhh2ngIP5gIplH3376+GfKuw+AnGyEumQPFJQvBxKj6O5gEicd1hOLjoFwx9OsIXXfddXjttdewYcMG3Hzzzf22M5vNSE1NhUqlwsmTJ6HVagO6b0QOjfVn7969AGhRxUAxpQLC2Byo7rkJ6OgEZAnQx4LFxYApo+pbgpARR66ohf35/7j+eLnyAjDT4DNnhJQksBXnQT58AtL2/eAnm6C8+XIwFQ2DjzTitHEQpoxxzSIzWwB9LIS8zIgYNn311Vfx6quvDtpOr9ejs7MzaPeNuN96BQUFyM7Ohk6n6/P8b37zGwCurJEEhgkCWIIeSKC/3gmJFnJZDez/eBMsyQDx4gW9eoGcsowDjXXIb21Bp9OBZG0MZptSkXOqh44xBnHGBLAkA6RPd8L+z39D9b9XUzI0AjFBGPIp8pEk4hKh119/HX/605+wcOFC5OTkICYmBoWFhfjoo4/gcDjwwAMPYOHChUMdJiGEhJVc1wT78/8GM8ZDXL6oV+9tZYcZLxYcQWNXF1J1OugUSuxvrMPnNZU4OzkVPx47AWrR1V7ITgMuXQTpgy/hePldKFddQcNkZESLuERoyZIlyM/Px6FDh/DVV1+hs7MTRqMRl1xyCe68886gLqtNCCHRgFs6YX/+P2AxOoiXLOyVBBW0NuPvx75FkkaDG8ZNQpLGVS/BOcfx1iZsP1mNuq5O/HLqDGgUrt4fIc0EXDgf0oc74Hzvi0GLaAkZzqKqWNofVMRJSOjR5yx0uMxh/+e/watOQnHVMrC4GPexaksHnvx2P9J1sfhhbh5E1nfNoIYuK94qLUJunB53TZkB8bRaEOlIIeSvDkJ5ww8hzpgYltdDSKSh/lBCCIlg0vZ94IXlEM+f1ysJsklOPJ//HeJValya4zkJAoBkbQx+mJOHwvZWfFRZ1uuYMGUshLHZcLz5KeTmtlC+DEIiFiVChBASoeSTjXB+/BWE6RMgZKX2OvZueQlabTZckp0HhTDw6tGZsXrMTUnDJ5VlqOr4fhVwxhiERbMBlRKO1z4Cl4f1AAEhHlEiRAghEYjLMhxvfOKa3jxnaq9j1ZYOfFlThXkpaYhXe7fu12xTKoxaLV4rLsDpFRFMpYS4ZA54aTWkvd8G9TUQEg0oESKEkAgk7fkOvPIkxMWz++wX9t+yIiSo1ZhhTPb6egITsCgtE+UdZhxqauh9LDMFwoRRcL7/JbgleOuzEBINKBEihJAIw61dcH60A8KEUa4ZXqcpbm9FfmsLzklNh8B8+xGeGatHbpwe75UXQ+Zyr2PCvOkA53B+tCPQ8AmJKpQIEUJIhHFu3Q04nBDmTutz7OPKMhi1WozWJ/h17bkpaWjo6sLh5sZezzOtGsLsKZD2fAe5trGfswkZfigRIoSQCMJb2iF9fRDCjIlgut57KNVaLchvbcFMUwoYY35dP1UXi6zYWGypquhzTJg8GjDEwfnBl35dm5BoRIkQIYREEMdnuwC1CsJZ4/sc+7K2CrFKJcYb/OsN6jHDmIKKDjMqzOZezzNRhDhnKuSCUshlNQHdg5BoQYkQIYRECLmpFfI3R129QWdsgNztdGJvw0lMSTT6XBt0plFxBhhUKnx5sqrPMTYmCywpHo5Pvg7oHoREC0qECCEkQkif7wU0atcQ1RkONNbDIcmYkmgM+D6MMUxOTMLBpnp0O519jgkzJ4EXVUAurw34XoREOkqECCEkAvD2Dkj7j0I4azyYou82kLvra5ETp0esUhWU+01KMMIhyTh4xlR6AGCjs4AEPZzb9gTlXoR4q7y8HIyxPo+YmBhMmzYNjzzyCCwWS1DvGXGbrhJCyEjk3HEAEEUIk8f0OdbU3YlSczsuzh4VtPvFKlXIio3D3vpanJOa3usYYwzi9AmQvtgHub4ZQkpS0O5LiDdGjx6N66+/HoBrA+HGxkZ8/PHHWLt2LT755BN8/fXXEMWBV1T3FiVChBAyxLjNDmn3YQiTRoOplH2OH2ioh1IUMFpvCOp9J8QnYkt1Bdpt3TCcsUI1G5cD7D0C6ctvIPzowqDel5DBjBkzBmvXru31nM1mw7x587Bnzx58+eWXOO+884JyLxoaI4SQISbtPwrYHBCmjvV4fH9jPfLiDIPuKear0fp4MAbPw2OiCGHKaEgHjoFbu4J6XzK0JC7jQGM9Pq0qx4HGekhnLK4ZqdRqNZYsWQIAaGpqCtp1qUeIEEKGEOcc0lcHwPIye+0u36Ohy4paqwWX5uQF/d5qhQI5cXocaqrHkozsPseFSWMgHzgOae93UJx3dtDvT8Lvi5pK/Om7A2jo+n4rlWStDvdMm+nxeyCS2O12bN++HYwxTJ8+PWjXpUSIEEKGkFxcCd7YCvGcGR6Pf9vUCIXAkBunD8n9R+vjsa26Eh12O+JUvQuxmU4DYXQWnLsOQ1w8B0zwbxFHEhm+qKnE6r1f9Xm+oasTq/d+hcfPXhAxyVBxcbF7aIxzjqamJnz66aeoqanBH/7wB4wbNy5o96JEiBBChpC08xCQoAdLN3k8/m1zI3Li9EEfFusxWh+PbajE0ZYmzDujaBoA2JSxwNtbIZ8ogzgx+L1SJDwkLuNP3x0YsM3T3x3AwvRMiAGuUxUMJSUleOSRR/o8f+mll+L8888P6r2G/tUSQsgIxTuskI8Vu4qkPWyZYXHYUWZuR15ccIukT6dVKJEWE4Pvmj3vL8ZSksCS4iHt/S5kMZDQO9zU2Gs4zJP6rk4cboqMfeYuvPBCcM7dj6amJrz77rs4evQo5s+fj7179wbtXpQIEULIEJG+OQaAQRif6/H4sZYmcACjgjxb7Ey5cQYUtLXAKfctmmWMgU3Mg3y0GLzDGtI4SOg0dXtX8O5tu3BLSkrCZZddhueffx6dnZ146KGHgnZtSoQIIWQIcM4h7TsCYVQGmEbtsc2xlmak6HTQKYKziGJ/RsUZYJMkFLe3ejwujMsBGCAdOB7SOEjoGDXawRv50G6onH22q2h///79QbsmJUKEEDIEeFUdeH0z2ATPiyTKXMbx1mbkxIamSPp0Jo0WsUoljrc2ezzONGoIuRmQ9h0B5zzk8ZDgm240IVmrG7BNilaH6UbPtWqRorXVlazLHnov/UWJECGEDAFp/1EgRguWmeLxeLXFgk6nEzkhmi3WC2PIjo3rNxECADZ+FHhdE3hN3zWHSOQTmYB7ps0csM3d02ZGRKH0QP70pz8BABYuXBi0a9KsMUIICTMuSZAO5UMYlwsmeP7Fk9/WDJUoIE3Xd22hUMiJM+B4ZRnMdhv0qr5DdSwrFdCqIR04BqGf5I1EtiUZ2Xj87AV91hFK0epwd4StI3T69HkAaGlpwc6dO3Hw4EEkJCTgiSeeCNq9KBEihJAwkwvKgM7ufoukASC/tQWZMXEQwvQXemZsLADgRFsrZien9jnORAHCmBxIB49D8cPF/SZwJLItycjGwvRMHG5qRFN3F4waLaYbTRHXE3Tm9Hm1Wo3MzEzccccdWL16NbKzg5e0USJECCFhJh3MB0sygCXFezzukGWUmtswPzUjbDHFKFRI0mhwoq3FYyIEnNp/7Egh5JIqiGNzwhYbCS6RCZhpisxevdzc3LDXoUVWCkgIIcMctzsgHysGG9P/X7Rl5nY4ZY7MmLgwRgZkxsThRFtLv8dZciKgj4V8MD+MURESWpQIEUJIGMnHSwC7A8IAiVBRWws0ohj2qcxZsXFo7u5Ga3e3x+OMMQhjsiB9dwJcksIaGyGhQokQIYSEkXS4ACw5EczQf29PYXsrMmJjPa42HUoZMa46oaJ+1hMC4ErgumyQiyrDFRYhIUWJECGEhAm32SHnl4LlZfXbxinLKOtodycl4aRVKJGk0aCova3/RknxgCEO8rcF4QqLkJCiRIgQQsJELigDHE4IozP7bVNpMcMpc2Towlsf1CNDF4ui9gHqhBiDMDoT0pEicCl4i9oRMlQoESKEkDCRvisEMyYMOCxW0t4GpSjApB2arQ7SY2PR0NUFi8PebxuWlwV0dkMurQpjZISERtQkQk888YRr8z/GsGfPnqEOhxBCfMKdTsjHS8BGDTwlvri9DWnamLCtH3SmdJ1rSK5kgOExZkoAYnWQvysMU1SEhE5UJEJHjx7FmjVrEBMTnhVWCSEk2OSiSsBmh5DX/7AYOEeJuQ1pQ/izTq9UIU6pRKm5rd82jDEIo04Nj9HeYyTKRXwi5HA4cNNNN2H69OlYuXLlUIczotklCTXWDnxcWYp/FebjaEsTmru7hjosQqKCfLQIMMQCiYZ+2zR0daLT6XT3ygwJxpCqi0FJR/vAzfIyALMFvLouTIEREhoRv7L0unXrcOzYMRw8eBB/+MMfhjqcEcsmSdjfcBK/2fMVnPz7AsmzkkxYN+dcmAbZ1ZiQkYzLHNLRYgh5mQNOiS/taAcDkBqm/cX6kx4Ti511NZBkGWI/W2mwNBOgVkE6UgwhKy3MERISPBHdI3Tw4EGsW7cOa9aswaRJk4Y6nBGtsasT9+/Z0SsJAoBvmxvxWnEBHLS4GiH94jV1QIcVLDd9wHal7e1I1GigFof2b9Q0XQycMke1xdJvGyYIYDlpkI8VhzEyQoIvYhMhm82GG2+8EdOnT8f999/v03lms7nXgwRuX0MdpH5qAf5bVoQWm+eVaMnwRJ8z30hHiwG1CizVNGC70o72Ie8NAgCTVgeRMZRZBh4eE3IzwE82grcM3I6QSBaxidDDDz+MoqIibNiwAaIoen3e+vXrYTAY3I+srP4XLiPea+zq7PdYp9PZb5JEhif6nPlGPlYCITsVTOz/R65NcuKk1YJU7dAnQiITkKzVocw8SJ1QViogMEjHSsIUGSHBF5GJ0O7du/Hkk0/ioYcewpQpU3w694EHHkB7e7v7UVVF61wEww8G2Kk4T2+AxodklUQ/+px5j7d1gNc2gOUMPCxW2dEBDiBtCFaU9iRFp0PZYAXTahVYejKk45QIkegVccXSTqcTN910E6ZNm4bVq1f7fL5arYZarQ5BZCPbqDg98uIMKPXwg/FXU2ciMcybQ5KhRZ8z70n5pQBjYNkDFxSXd7RDKQpIUmvCFNnAUnUxONzUCKvDgRilst92LDsN8r4j4DY7mFoVxggJCY6I6xGyWCwoKirC4cOHoVKp3IsoMsbw8ssvAwDmzZsHxhjeeeedoQ12BDFqdXh6/hIsz86D4tRCb1mxcXj6nMWYkmgc4ugIiVxyfglYqhFMM3DiWN7RjmSNLuwbrfanZ4iucrA6oZx0wClBLqZNWEl0irgeIbVajZ/+9Kcej+3YsQNFRUW47LLLYDKZkJubG97gRrhUXQzunz4b/zNxKpxchlahhJF6ggjpF3dKkAsrIMyYMGjbig4zcvX9rzEUbvEqNdSiiPIOMyYmDPDHTnwcYIiFnF8KcfKY8AVISJBEXCKk1WrxwgsveDx28803o6ioCA888ADmzp0b5sgIAGgUCqQpIqOGgZBIJ5dVA3YHhOyB64MsDjtabDacHQGF0m6MIUWrQ0VHxyDNGISsVEj5pVBwHjE9WoR4K+KGxgghZLiQC8oAnRYwxg/YrqLDtfxASoQtTJqii0HFIAXTgKtOCK1m8Mb+d60nJFJRIkQIISEi55eCZaUM2ktSaTFDLYqIV0VWAXqKVot2ux1mm23AdiwjBRAFV+JHSJSJqkRo48aN4JzTsBghJOLx9g7wuiYIg8wWA4CKjg5Xb1CEDSsluwumB14wkykVYGkmSoRIVPI5Eeru7sZTTz2Fyy67DFdccQX+8Y9/wOFweGz7zDPPIC8vL+AgCSEk2kgnygGcWnRwEJUd7UiOsGExwLUTvVYhDpoIAa7XKZdUgTucYYiMkODxqVjaZrNh8eLF2L9/P/iplYTfffddPPvss/j3v/+NCRN6z4xoa2tDRUVF8KIlhJAoIReUgSUnDjptvsNuR5vdHpGJEBhDskaHykEKpgFAyE6DvPtbyGXVEMflhj42QoLEpx6hP/3pT9i3bx8uvfRS7Nq1C/v378dtt92G/Px8LFiwAAcPHgxVnIQQEjW4zCEXVnjVG1RtjcxC6R4mbYxXPUJINAA6LeRTPWGERAufEqE33ngD48aNw9tvv425c+di5syZeO655/D+++/DZrPhggsuwDfffBOqWAkhJCrw2nqgswss04thMUsH1KIIQ4QVSvdI0WrRZrejw24fsB1jDCwzBfIJqhMi0cWnRKioqAgXXnhhn01QL774Ymzbtg2yLGPZsmXYt29fUIMkhJBoIp+oAJQKsNSkQdtWdphh0mojrlC6h+lUT1VPz9VAhKwU8NpG8A5rqMMiJGh8SoSUSiU0Gs/74MyePRtbtmwB5xwXXnghdu/eHZQACSEk2kiFZWDpyWBebEZcZbHAFMErtBtUaqhEAZUWy6Bte3rAaLsNEk18SoRycnJw5MiRfo/PmjULW7ZsAQBcdNFF1DNECBlxuN0BXlYDlpkyaNtupwNN3V3uXpdIxBhDslaHam9mjsVowRINkAvLQx8YIUHiUyJ0zjnnYPv27Whv73+l0Z5kSBRFfPLJJwEHSAgh0UQurwGcEgQvEqFqq6uXJZITIQAwabSotAw+cwwAWGYKpBPl7pnFhEQ6nxKhyy67DN3d3XjuuecGbNeTDBkMkbOBICGEhINcWAHoNK5ZVIOosnRAZAxJas8lB5HCpNWhqasL3c7B1whimSlAWwd4U1voAyMkCHxaR+jiiy9GV1dXn2JpT2bOnImSkhKYzV5MuySEkGFCLiwHy0j2avPRamsHkjQaCCyyF/k3aXTgAGo7LcjTxw/YlqUnA4xBLqqAYEoIS3yEBMLnT59arYZC4V3+lJCQgJycHJ+DIoSQaMQ7u8Fr6iFkDD4sBrh6hCJ9WAwAEjUaCMwV72CYSgmWkgS5iBbTJdHBpx4hT+x2O7Zu3YqCggJYrVb89re/BeDaisNsNsNoNEIQIvuvHUIICQa5pArg8KpQWpJl1HVaMWaQHpZIIDIBRo0W1V7MHAMAlpEMOb8UXOZgQmQuC0BIj4AylPfeew/Z2dn44Q9/iHvvvRdr1651H/vuu++QlpaG119/PdAYCSEkKshFFYAhFkwfO2jb+i4rnDKPih4hAEjSaFFt9b5gGp3d4HWNIY6KkMD5nQjt3LkTV111FdRqNZ555hlcd911vY7PmTMHY8aMwVtvvRVwkIQQEg3kogpXjYwXenpXTJroSIRMGi1qrRbIXB60LUsxAqIAuYjWEyKRz++hsUcffRTx8fE4cOAAjEYjmpub+7SZNWsW9u7dG1CAhBASDXiHFby+GeLUsV61r7Z2wKBSQeXF5JNIYNTo4JBlNHZ1IUUXM2BbphDB0kyuHrJFs8IUISH+8btHaO/evbj88sthNBr7bZOVlYW6ujp/b0EIIVGjZzVl5mWhdI3VAqM2cleUPpPpVKxeD4+lJ0MuqQKXBu9BImQo+Z0I2Ww26PX6Adu0tbVRoTQhZESQiyuBBD1YjHfJTbXVAqM6ehIhrUKJWKUSNVbvC6Zhs4PX1Ic4MkIC43eWkpeXh/379w/YZvfu3ZgwYYK/tyCEkKghF1VC8LI+yGy3ocNuhzGC9xjzxDVzzMseoeREQKGgfcdIxPM7Ebryyiuxc+dObNiwwePxJ598EkePHsU111zjd3CEEBINeHsHeFOrqxfECzVRsrXGmYwarXtbkMEwUQRLM0KigmkS4fwulr7vvvvw1ltv4dZbb8Wrr74Km80GALj//vuxe/du7Nq1C9OnT8ddd90VtGAJISQSycVVAOD1jLEaqwUKQYBBpQ5lWEFn0urwTWM9Oh0O6JTKQduzjGTIB/PBJQksSorCycjjd49QbGwsvvrqK/z4xz/G9u3b8fXXX4NzjieffBK7du3Cj370I2zduhVqdXR90AkhxFdySSVYogFM592eYTXWDhg1Gq+24YgkPUN5XtcJpScDdgd4NdUJkcgV0MrSCQkJ+Ne//oW//OUv2L9/P1paWqDX6zF79mykpHg3c4IQQqKdXFzpdW8QcGrGWJSsH3S6BLUaImOo7bRgbPzg+4gxUyKgdNUJCTnpYYiQEN/5nQidd955mD9/Ph599FEkJSXhoosuCmZchBASFfipndaFH0zyqn00ba1xJoEJSNJovN9qQxTA0kyQiqugWDo3xNER4p+A1hGSJCmYsRBCSNSRS3yrD2ro6oJT5lHZIwQAiRotarxcSwgAWLoJvKya1hMiEcvvRGjChAmoqKDdhQkhI5s/9UEAom7qfA+TRovaTgs45161pzohEun8ToR+/vOf491338Xx48eDGQ8hhEQVubgSLM3kdfsaqwVxKiU0ioBKNIeMUaOFXZLR3N3lVXt3nVAJTaMnkcnvT2JeXh4WL16MuXPn4rbbbnMXSHuaBbFw4cKAgiSEkEjkWj/I+/ogwNUjlBRFK0qfKem0mWNGL9ZBYqIAlmp0LTFw3tmhDo8Qn/mdCC1evBiMMXDO8dRTTw04DZRqiQghw9H39UG+9QjlRWGhdI9YhRIaUUSN1YKzjN7VRbF0E+TDJ8AlGUykbZdIZPE7EXr44Yejbg0MQggJJrmkyrW/mM67Hp5upwOtNltUbbbaB2Mwal11Ql6fkp4M7D0CXlsPlpUWwuAI8Z3fidDatWuDGAYhhEQfubgKgi/1QaeSh2jabNWTJLX3e44BPfuOiZBLqiBQIkQiDPVREkKIH3iHFbyxxev9xQCg1mIBY0CixrsZZpHKqNGisbsLDtm7KfFMFL+vEyIkwkRcItTd3Y177rkHCxcuRHp6OjQaDVJTUzF//nxs2LABDodjqEMkhBCf1w8CXD1CiWoNRBZxP3p9YtRqwTlQ59PwmAlyaTW4l8kTIeHi96dREASIojjoQ+HjFFGLxYK///3vYIxh+fLluOeee7By5UrU1NRg1apVuPTSSyHTBynqcKcTvNsGToXzZJiQS6sBQxxYjPfDXDVWS1TPGOvR8xpqvdxzDDiVMHbbwE82hiosQvzid43QwoULPRZLt7e3o6ioCFarFWeddRbi4+N9um5iYiLa29uhUql6Pe90OnHBBRfgs88+w8cff4zly5f7GzoJI95tA29ug3PHAfCmVgi5GRDnngWWqKfdqElUc+0v5n19EDhHrdWCGcbo34dRJYowqFReb74KACw5CRAFV51QRvS/B2T48DsR2r59e7/HOjs7sXr1anzyySfYsmWLT9cVBKFPEgQACoUCK1euxPbt21FcXOxruGQIcIcD0tEiOF/9yP2cVFYD6euDUN35YzDahJFEKW7tAq9rgjh5tNfntNps6HJKSIry+qAeSRqtb4mQQgRLSXINKS6cFcLICPFNSAaqdTod/vKXv8BgMOC+++4LyjVlWcYnn3wCAJgyZUpQrklCi5utcL75ad8DDiccr30E3mENf1CEBIFcWg3At/qg2mEyY6xHkkbr09AY4Hq/5JIqcNm77TkICYeQrvG+YMECvPLKK36da7fb8dhjj4FzjubmZmzbtg0FBQW45ZZbsHTp0n7Ps9lssNls7q/NZrNf9yeB442tgNNzTRBvaAG3doHFxYQ5KhIMI/1zJpdUAnExPn3/1lotUIoC9Cp1CCMLH6NGi/12O6wOB2KUSq/OYWkm4Jtj4PVNPm1LQkgohTQRamxshMXi218MPex2Ox555BH314wx3HvvvVi/fv2A561fv77XeWQIDVbU7uWmjSTyjPTPmVxS5Vt9EFw9Qka1dtgsRNuzaWyt1YKx8QlencNSjYDAIJdW+7T+EiGhFJKhMVmWsXnzZrzxxhuYPn26X9eIjY0F5xySJKGqqgp/+9vf8MILL2Dx4sUD/vX5wAMPoL293f2oqqJ1K4YKS0kCBM/fYsyH1XhJ5BnJnzPeZQOvbYTgw7AYcGrG2DCpDwKABLUaImO+rTCtVIAlJ0Eupg1YSeQIaNNVT5xOJxoaGuBwOKBUKgftwRmMIAjIzMzEHXfcAaPRiB/96EdYt24dnnjiCY/t1Wo11Orh0fUc7VisDuLyhZDe3977gMCguOYiMEPsUIRFgmAkf87ksmqAc596hCRZRl2nFWOieI+xMwlMQKJGgxofe/1ZmglycQU458Omd4xEN78TIVmWPX4TK5VKTJkyBbNnz8Zdd92FyZMnBxTg6ZYtWwZg4BlrJHIwtQri2dMgZKZC2rILvNUMlpUKxflzwUzedaUTEmnkkiogRgvovU/kG7u64JS5e+f24SJJrXVvG+Itlm4CDuWDN7a6tt4gZIj5nQiVl5cHMQzv1NbWAnAlWyQ6CDoNMDYbQmYy4HACajWYmv7/SPSSS6rA0kw+9Wa4Z4wNs0TIqNFif2Odq97Py/eDpZkAxlzrCVEiRCJAxK3zfvz4cXR2dvZ5vrOzE/fccw8A4JJLLgl3WCRATKsB08dSEkSiGrfZwavrfJo2D7jqg2KUSmgVw+v7P0mrhU2S0Gzr9vocplKCmRLcW5QQMtT8ToREUcSjjz46YJt169b5vMXGm2++idTUVFxyySW48847sXr1atxwww3Izs7GJ598ggULFuDuu+/2N2xCCPGbXF4DyByCjzPGaqwWGNXDp1C6x+kzx3zB0kyQSyrBaeYoiQB+D41xzr36Jvb1G/3SSy9FbW0tdu3ahd27d8NiscBgMGDatGn48Y9/jFWrVvmcXBFCSDDIJVWAVgMk6H06r8bagZw4386JBnEKJdSiiFqrBVOTvE8OWUYy8O0J8JZ2sKT40AVIiBdCvo6QVuvbmPisWbMwaxYtv04IiTxysWv9IF/qg2ySE83d3ZhpGob7azEGo49bbQAAS3UlTXJJFQRKhMgQ8ykR2rRpU6+vDx8+3Oc5AO61fzZt2kTbYRBChgVud4BXnYRwznSfzjtpdW0lM9wKpXv4uucYADCNCsx4qk5oztQQRUaId3xKhG6++Wb3X0KMMbz77rt49913+7TrGQ7TarVYu3Zt4FESQsgQkytqAUn2ayFFBiBxGNYIAa4E72hLIyRZhtjPAqqeuNYTooUVydDzKRHasGEDAFeis2rVKqxYsQKXX355n3aiKCIxMRHz5s1DQgKtF0MIiX5ySRWgUQOJBp/Oq+m0IEGtgUIQQxTZ0ErSaCFz4GSnFZmxcV6fxzKSgSOFrvXFfKy5IiSYfEqEbrrpJve/v/zyS6xcuRKXXXZZ0IMihJBIIxdX+rx+EADUWDqG1dYaZzKdNnPMp0Qo7fs6IXFW8BbeJcRXfhdL9/QOEULIcMcdTvDKkxDmnuXjiRw1VgumG4fvBqMqUYRepfJpzzEAYFo1WFI85OJKSoTIkArKrDFJktDU1ASbzebxeHZ2djBuQwghQ0KuqAWcks/rB7XZbeh0Oofd1hpnMmq0qLZ2+HweSzdBKq7E8FpmkkSbgBKhAwcO4MEHH8SOHTtgt9s9tmGMwel0BnIbQggZUnJxJaBWAT5O9e5ZaNCoHt6JUJJGi8K2Fp/PY+nJwJEiqhMiQ8rvlaUPHz6MBQsWYPfu3Vi2bBk455g2bRqWLVsGo9EIzjkWLVqEG264IZjxEkJI2Mklvq8fBLhmjKlEAXqVOkSRRQajRot2ux1Wh8On81j693VChAwVvxOhnu019u7d655Cv3LlSnz88ccoLy/H7bffjqNHj2LNmjXBiZQQQoYAdzjBK2p93l8MOLW1hkbrcwIVbUynFs71eT0hrQYsyUDT6MmQ8jsR+vrrr3HZZZdh4sSJ7udOXz/o2WefRXp6Oh588MHAoySEkCHirg/K8D0RqrJ2IGmYD4sBQLxKDYXAUONXnVAypBJKhMjQ8TsRam9vR15envtrpVIJi+X7vwYEQcDixYuxbdu2wCIkhJAh5G99kCTLqO+0wqTVhSawCCIwAYlqjc89QsCpOqHmdvBWcwgiI2RwfidCycnJaG1tdX+dmpqKoqKiXm26u7vR2dnpf3SEEDLE5OJKv+qDTnZaIfPhu7XGmUxaLaosviczPUOOVCdEhorfidCkSZNw4sQJ99fz58/HZ599ht27dwMA8vPz8eabb2LChAmBR0kIIUOA2x2u+qAM3zdM7RkmGimJkFGjw8lOKyRZ9um809cTImQo+J0ILV++HDt27MDJkycBAL/5zW/AOce5554Lk8mEqVOnoq2tjWqECCFRSy4/tb+YH/VB1VYLDCoVVOLw3FrjTEaNFk6Zo6Gry+dzWUYypKKKEERFyOD8ToRuv/121NTUICkpCQBw1llnYdu2bbjoootgNBpx/vnn4/3338fKlSuDFiwhhISTXFwJaH3fXwwAqi0dMGpHRm8QAJg0rloovxZWzEgGWs2Qm9uCHBUhg/N7QUWlUomUlN7dxeeccw4+/PDDgIMihJBIIBdVQEhP9n36O+eotlowJTEpNIFFII1CgTiVCjXWDsxGqk/nsrRTdULFlRB8LEonJFB+9wgRQshwxm128Ko6wI9hsXa7DVaHw91LMlL4vdWGRgWWnAi5iOqESPgFlAg5nU48/fTTmDNnDvR6PRSK7zuYDh8+jDvvvBOFhYUBB0kIIeEml1YDsgwh0/dC6epT08hHwtT505k0WlRbfJ9CD7hmj8lFFe716AgJF78Toa6uLixZsgT33nsvKioqoNfre30Djxo1Chs2bMCmTZuCEighhISTXFQBxOoAQ5zP51ZbO6AWRRiUqhBEFrlMGi3Mdjs6+tl7ciAsMwXosII3+L5nGSGB8DsReuyxx7Bz506sX78edXV1uPXWW3sdNxgMWLRoET799NOAgySEkHCTCyvA/KkPgqtQ2qTVAsN8a40z9fSA+TU8lmYEBOZKQAkJI78ToTfeeANLlizB/fffD8aYxx8WeXl5qKykMV9CSHThlk7w2ga/hsUAoMrSMWLWDzqdQaWGShRQbfEjEVIqwVKMlAiRsPM7EaqsrMSsWbMGbBMXF4f29nZ/b0EIIUOiZ3E/5kciZJOcaOzqQvIIK5QGAMYYjBodqvxIhADX+y0XVYL7uCgjIYHwOxGKi4tDQ0PDgG1KSkpgMpn8vQUhhAwJuagCSNCDxfqezNRYLeAYeYXSPUwaLSoDSITQbQOvrg9yVIT0z+9EaO7cuXj//ffR1tbm8XhVVRU++ugjLFy40N9bEELIkJAKy/1aTRpwDYsJDEjUaIIcVXRI1mrR2NUJm+T0+VyWnAQoFZALaXiMhI/fidB9992H1tZWLF26FDt37oTT6fqm7+zsxLZt23DhhRfC6XTinnvuCVqwhBASanJzG9DcDpbp26KAPXrqg0Q2MpdpS9bqwAH/dqIXBdd2G4XlQY+LkP74vbL0woUL8eyzz+KXv/xlr16fuDjXVFNRFPHcc89h5syZgUdJCCFhIheWA4y5tn3wQ6XFPGKHxQAgUaOFwFwJYZ4+3ufzWUYK5D3fgtsdYCpl8AMk5Axe/8ny3nvv9Vkc8Y477sC3336Lu+66C7Nnz8bo0aMxY8YM3H777Th06FCfKfWEEBLp5BPlYMmJYGrf1wByyjJOWi1IHsGJkMgEGDVaVFrMfp0vZKUCkgy5pCrIkRHimdc9QitXrsSaNWvw8MMPA3BNjb/77rvx85//HM8880zIAiSEkHDhsuzaX2zyGL/Or7VaIHEgZQQnQoBreMzfmWNI0AOxOsiF5RAn5gU3MEI88LpHSKlUwuFwuL8uLy9Ha2trSIIihJChwKvqgS4bWJZ/9UGVFjMYMCLXEDpdsjYGtVYLHH5Mg2eMuabRnygLQWSE9OV1IpSdnY2vv/4akiS5n/NnxVVCCIlU8okyQKV0zV7yQ5WlA0laLRSCGOTIokuyVguZA7V+7jsmZKWC1zWDt/nZq0SID7weGrvuuuvwu9/9DomJiUhKcv2QePrpp7Fhw4YBz2OMoaSkJLAoCSEkDKSCMrCMFDDRvxlf5R3tSNaO7N4gADBpXQXTlZZ25Oj1Pp/f0yMnFZZDMWdqsMMjpBevP+0PPfQQHnvsMUybNs29pQbnfNCH7GPXaE1NDf785z9j2bJlyM7OhkqlQmpqKq688krs3bvX5xdICCHe4F3d4JW1ELL9GxZzyjJqrRYka2OCHFn0EZkIo0aLCn8XVtSowVKSIOeXBjkyQvryukdIoVBg9erVWL16NQBAEATcfffd7uLpYPnrX/+KJ554AqNHj8ayZctgMplQVFSEd955B++88w5effVVXHPNNUG9J4lMLd1dcMgyFIKApBFec0FCTy6sAGQOlp3m1/lUKN1bslaH8g7/Zo4Brl4h+VgxuCyDCSNzTSYSHn6vI7RmzRosXrw4iKG4zJkzB9u3b8eiRYt6Pf/VV19h6dKluOOOO7BixQqo1eqg35tEBrPdhoONDfj78cMo7zAjTReDWydOxfyUDCSM0NV6SejJ+aWubTXi/OvRqehoh8BcW0wQIEUbg2OtzXBIEpSi7zVTLDsN+OYYeOVJsNyMEERIiIvfafaaNWtCsn3GFVdc0ScJAoAFCxZgyZIlaG1txZEjR4J+XxIZHJKELVUV+M3eHe6/Jk92WvHogT14tTgfnafNXCQkWDjnkPJLIfjZGwQAFadWlB7phdI9UnQ6cA5UWf0cHktOBDQqSDQ8RkIsqvoblUrXKqMKhd8dWSTCNdm68bdjhzwe+1dRPlps3WGOiIwEvLYB6LCC5fifCJV1tFN90GlcSSHze3iMCYJreOw4TbYhoRU1GUVlZSW2bt2KtLQ0TJ3a/ywCm80Gm83m/tps9n+MmoRfu80Gq9PzZo0S56jv6kRmbFyYoyJnGm6fM/l4KaBUgKWZ/DrfJjlRZ7VicoJ/0+6HI4EJMGl1qAigTkjIToe0bQ+42QKmjw1idIR8Lyp6hBwOB2644QbYbDY88cQTEAcYb16/fj0MBoP7kZWVFcZISaCUg0xb1lJvYEQYbp8z6XgJWFYqmB+1LABQ2dEBDiBVR7+sT5eq1aGso93v81l2GsAYpOM0PEZCJ+ITIVmWcfPNN2PHjh34n//5H9xwww0Dtn/ggQfQ3t7uflRV0X410SRBpcaoOM/rjiSo1UhSU7F0JBhOnzNu6XRNm89J9/sa5R3tUIoCfX+eIVUXi6auLlj9rO1j2lPT6I8XBzkyQr4X0YmQLMtYtWoVXn31VVx//fX4v//7v0HPUavV0Ov1vR4keiRqtPj9nHMRp+y94aVaFPGHuYtG9K7ekWQ4fc7k/FKAI+D6oBStjlbbP0Pqqc9rQL1COemQCyvAHZ6HzAkJVMSOM8iyjFtuuQWbNm3Ctddei40bN0KgtSRGhNH6eGw+72IcbGrAkZZGjNEnYF5qOlK0Ogj0i4YEmXSsGCwlCUzn57R3zlFqbsc4Q2JwAxsGDCo1dAoFysztmJJo9OsawqgMyHu/g1xcSZuwkpCIyETo9CTommuuwebNmwesCyLDC2MMaTGxWB4Ti+U59IOPhA53OiEXlEGYMcHva7TabDDb7UjVUW9lH4whVReDMrP/PUJI0AOGWMjHiikRIiERcV0sPcNhmzZtwtVXX41XXnmFkiBCSEjIRZWA3QEhgAX7SjvaAAAZMVQo7UmqLgZlHe2Que870QOuP4yEnHRIR4vAZR7k6AiJwB6h3/3ud3j55ZcRGxuLcePG4fe//32fNitWrMD06dPDHxwhZFiRjxQBhjgg0eD3NUrM7YhXqaBVKIMY2fCRrovFLqkWJzutyIjxb+kLNioT+K4QvKouoFouQjyJuESovLwcAGCxWLBu3TqPbXJzcykRIoQEhMsypKNFEMZkB1TkXNLehlTqDepXqk4HgQGl7W3+J0JpRkCjhnSkEAIlQiTIIm5obOPGjYPuaH/zzTcPdZiEkCjHy2sAS6ert8FPNsmJamsHMmj9oH4pBBHJWh1KAqgTYoIAlpsO+btC8P/f3r1HRXWfewP/7j3DDMMMw3AT5OKAgPFSoiGiSTFqosEcm1R7eU3qWqnJqm1i+nYtVy5N01w0b6o5K7E9Xc3JadN4Xs2lSZvLaS5NFTXiBbwSwFskIgKCyM2BGa7DzOzf+wevJBQUdDYMzP5+1uKP7L3nmYedefCZ39779xO8PEbqGnONEBHRaPAdPwOYTZDir3826CqXC0IACRwRuqqJZgvOOlv8iiFPToZoboFouKRSVkS92AgRkeYIIeA7fgZyaqJfl8XOOlsQqtMhihMpXlVimAUOtxst3de/VqCUHAcYQqAc+0rFzIjYCBGRBonqi0BrG6Q0/5YGOeNsQaLFwokUh3D5ibqzrusfFZJ0OsgpCfCVlqmVFhEANkJEpEG+Y2VAWOh1L7IKAF5FQVWbi/cHDYNJH4Lo0FCUt7b6FUdKnwTRcAlKfbM6iRGBjRARaYxQBHylZZAnJ0HyY7b66jYnPIqCJMv1PQmlNYnmcJxxOvyKISXHA8YQjgqRqtgIEZGmiMpawNkOKcPuV5wzzhYYdTrEhnJG6eFIMlvQ2NUFp9uP+4R0OkipSVCKv+TTY6QaNkJEpCm+ktNAuBlS/PWtfXVZWYsDiWbeHzRcSZbeS4hn/H16LH0SRHMrRG29GmkRsREiIu0QXh98Jaf9nkTRo/hQ2eZEMi+LDVuY3oAYkwlftfrXCElJcUBYKHxffKlSZqR1bISISDOU0+eALjfkG1L8ilPhbIVXEbw/6Bolmy0oa7kE+HFZS5JlyOmT4Cs+DeG7vvXLiL6JjRARaYav6CSk2EhIfqwtBgBlrQ6EhegRazSplJk2TLJY4XC70djd6Vcc+YZUoL0TyleVKmVGWsZGiIg0QbR3QjlVAemGVL9jfdlyCZPMVoD3B12TRHM4ZAk43eLf02OIsUGKtsF35IQ6iZGmsREiIk3wFffeUyL7+bSYq8eN2vZ22K1WNdLSFINOhwSzBV86/FsmQ5IkSFNToZw6C9Hu3+gSERshIgp6Qgj4Dh2HlJoIyWT0K9bplt5/xFMsbISuh90Sga+cDngV/+7vkafYAQHeNE1+YyNEREFPVF+EqG+GPG2y37FOOpoRFxYGkz5Ehcy0J8VqRY9PQbmfj9FLplDIqYnwHTrGOYXIL2yEiCjoeQ+UAFZz78zEfvApCk45LiElnKNB1yvWaEK4wYCTDv+XyZCmp0E0XOqdJJPoOrERIqKgJjq6oJSWQZ6e7vfkhxWuVnT7fJgcblMnOS2SJKSGR+D4pSa/HqMH/v+cQrZweAtKVEqOtIiNEBEFNd+h44AQkKf5/7TYsUtNCA8JQZyJy2r4Y7I1Ape6u1HX2eFXHEmSIM9Ih3L8DISrXaXsSGvYCBFR0BI+Bd6CYkgZdkimUD+DCZQ2NyLVauNj835KtoTDoJNR2tzodyx5aiqgk+Et5KgQXR82QkQUtJTjXwHONuhunOJ3rPPtbWhxu5FutfmfmMbpJBmp4REoUaERkowGyFNT4TtQCtHjUSE70ho2QkQUlIQQ8OYfgZQUBykm0u94xc0NCNPr+hYPJf9kRETiQkc7Gv28PAYA8o1TgM5u+IpOqpAZaQ0bISIKSkr5eYjaBsizpvofTAgUNTUgzRoJWeKfTTWkhFth0MkoamrwO5YUEQ55chK8u49w/TG6ZqxoIgpK3p0HetcV8/OReQA41+aEo7sbN9j8H1miXnpZh8nhNhxtrPf76TEAkLOmAw4nlNLTKmRHWsJGiIiCjnKuBqKiBnLWdL8fmQeAIw0XEW4wINHM1ebVNDUyCg1dnTjf3uZ3LCk2EpI9Ad6dByH8nLWatIWNEBEFFSEEPNsKIMXYIE1O8jueR1FwtKkeU21RqjRV9LVJlnCYQ0JwqKFOlXjy7BkQjQ4oxRwVouFjI0REQUU5U9U7GpSdqUrjUtrciC6vD9Mjo1TIjr5JlmRMs0XhSGM9PCqM4shx0ZBSEuHZXgDh9amQIWkBGyEiChpCUeD9dA+kibGQUhJUiVlwsRZJFgsijSZV4lF/M6Ki0en1okSFm6YBQDc3E3A44TtYqko8Cn5shIgoaPiOnoSoa4J860xVRoMudnSg3NmKzKhYFbKjwUQaTZhkCcfei+qsFyZF2yBNmwzv9kKIji5VYlJwYyNEREFBdHXD+9k+yOmTIMfHqBJzT915hOn1SI+wqRKPBndjdCwqXU6cb3OpEk83NxPw+eDdXqBKPApubISIKCh4/7kfcPdA/vYsVeJ1eHpwqOEiZsbEQse5g0ZUmtUGm8GAXbXVqsSTwkyQs78FX2EJlPMXVYlJwYvVTUTjnlJ5Ab7CEshzMiFZ1FkQdfeFGggAN/Ky2IiTJAk3xcbhi6YGNHd1qhJTzsyAFBsJz9+2Q/h44zRd2ZhshN5++2089NBDmD17NoxGIyRJwtatWwOdFhGNQcLdA8+7n0GKi4acmaFKzC6PB/kXziMzOgYmfYgqMenqZkRGw6TXY3tNlSrxJFmGbmE2RH0zvDsPqhKTgtOYbISeeeYZ/PnPf0Z1dTUmTpwY6HSIaAzzfpwP0doG3aK5kGR1/qTtulANr1AwOzZOlXg0NL2sw+wJcTjYUKfK+mMAIMVGQZ49A75dB6FUXlAlJgWfMdkIbd68GVVVVWhqasLDDz8c6HRonBAeLxSHE0ptA5RGB58Y0QBfyWn4Dh2Dbl4WJJtVlZit7m7sqj2PWdFxMOsNqsSk4ZkZHQtLiAEfVZ1VLaZ883RIcTHoefMTiHZ1LrtRcNEHOoHBLF68ONAp0Dgj2jvhPVgK3+eHgR4PAEBKTUTIj5ZCVmHlcRp7lLpGeP66DXKGHdK0yarF/Z9z5QiRZcyZ4P8aZXRtdJIOOfEJ2H6+Cl+1OHCDCpNYSrIM3eJb4P1gB3re+gSGn62ApBuTYwAUIPw00LgnFNE7MrCtoK8JAgBReQGeP70HpdX/dYxobBHONvRs/hCSLRzywmzVlr4oa7mEoqYGzItPhEGnUyUmXZupEVFINFvw7tnTqsw2DQBSuBm63G9DVNTA+/ddECos8krBg40QjXvC1QbvjgOD73M4IZoco5wRjSTR0YWeP38AeH3Q/dttkELUGdju9nrx9pkvkWyxYHpktCox6TpIEhYlTcKl7m58quYlssQ46ObPhu9AKbx5harFpfFvTF4a84fb7Ybb7e77b5dLnQm6aAzzeIGr3A8k6pqADPsoJhT8AlVnoqMLPa+9B9Hign75Hao9Kg8h8E75abR7PViemgFwcdWAijKa8O34BHxeex7TIqMxTaXGVJ6eBtHthm/HAUg6Gfo7v61KXBrfgm5E6MUXX0RERETfT3JycqBTopGm1wPGK9/UKvEeIdUFos5Eiws9//kOxKVW6L+7EFJUhGqxP79wHkVNDVicaIfVYFQtLl2/rJg42MOt+O/TJ1SbWwgAdFnTIc/5FrzbCuD5eDeEwstkWhd0jdBTTz0Fp9PZ91NTUxPolGiESVYzdPOyBt8ZFgo5gRPiqW2060w5Vwv3f7wJ0dUN/fJFqja3xc0N+J9z5ZgdG4cpNq4wP1ZIkoS7klNh1OnwyskStPX0qBZbN/tbkOdlwbe3CJ4tf4focg/9IgpaQdcIGY1GWK3Wfj8U3CSdDrrbsiBnTeu/I8ICw5r7AFt4YBILYqNVZ8KnwLvzIHr+611IVjP0378TUqR671Xc3ID/e/oEbrBFISc+UbW4pI5QvR7LU9LR6fXg98e/gMutXsOiu3EKdEvnQzlbDfdvt0KpVGfRVxp/gu4eIdIm2WpByPfvhMjNgWhxQjKFAlYLpAiLak8U0ehSqi7A8+HO3tXks6ZBzv6WahMmQgjsqq3G3yvP4gZbFHKT7fycjFERxlD8YPIU/P1cOV4qPYKHZ8xCkkWdLzdySgKk/7UEvl2H0PPKO9Dl3AT9XfMgmU2qxKfxgY0QBQ0pLBRSWCgwgZc3xjPlQgO8Ow9COX4GUmwkdN9fDDlOvae4nO5uvFNehhOOZsyOjUdOfAKboDEuymjCivSp+LTqLF4qPYLlqRlYmJAEWYXFcCWrBbrld0A5UQ7f0ZPwffEl9LfPgW7eTb1fqCjoSWIMTqiwefNmFBQUAABOnDiB4uJi5OTkID09HQAwb948rF69elixXC4XIiIi4HQ6eZmMaIT4W2fC3QPlZDm8h45DVNQAVgt0s2dAmmJXbRSo2+vFnroa5NVUQSdJWJxkx2SrTZXYNDq8ig8F9RdQ2tyEJIsFy1LSMSMyWrWn/ERnN5QvTkH58hygk6GbPQO67ExIk+LZLAexMdkIPfDAA3jjjTeuuH/VqlXDXoSVjRDRyLvWOhOKgGi8BKWiBkpZJZQzVYDHCykhFvKMDEhpSao0QIpQUNnmxNHGehxuqIdXUZAZHYNbJyTAqOeA+HhV39mOfRdrUdfRgYlhZuTEJ+CmmDhEhqozgiM6uqCcOgvl9LneqTlsVuhmpEGekgI5NVG9aRtoTBiTjZCa2AgRjbzh1JkQAt7tBVAqaiDqGoHuHkCWIMXHQLInQE5LhmS1qJZTt9eL/1N0AK09PbCEhGBaZHTfWlYUBIRATUcbjl9qwjmXEz4hcEdiMn6YdoN6b6EoEHVNEOdqodRcBJztvTuirJATJkA372bopnCOsvEu6L8SXe7zOLEiUX/h4eGqDfcPq856PDDsPNh7vF4HER8DEWsDQvSA2w18qd4swgDQ5fVidkMrZEhIDJOA1kb4KhvhVPVdKJCsAOYBuEUIXOzqRLSrCt1NI7DYskEHpCUB7V2QmxyQHC4oDhc8QsAXf/WpHNSsMxoZQT8iVFtby0kViQah5ijpcOpMJ8koWPm/kWaLhtvnU+V9r0YCoDObOUu0hgiPBz4VH7G/GqNOh38/vBu/K9p71eN4NWLsC/pGSFEU1NXVaaIrd7lcSE5ORk1NjaYLj+dheOdAzZpgnWkPz0Ovoc6DFmpivAv6S2OyLCMpKSnQaYwqTiTZi+dh9M4B60y7eB568TyMX0E3szQRERHRcLERIiIiIs1iIxREjEYj1q1bB6NR26tn8zzwHIwknttePA+9eB7Gv6C/WZqIiIjoSjgiRERERJrFRoiIiIg0i40QERERaRYbISIiItIsNkJB4OjRo1i6dClsNhvMZjNuueUWvPfee4FOa1SlpKRAkqRBfxYuXBjo9FT19ttv46GHHsLs2bNhNBohSRK2bt16xeNdLhceffRR2O12GI1GpKSk4IknnkB7e/voJR0EWGfaqjOAtaYVQT+zdLDLz8/HkiVLEBoaivvuuw/h4eH48MMPce+996KmpgaPPfZYoFMcNREREVi7du2A7SkpKaOey0h65plnUF1djZiYGEycOBHV1dVXPLajowMLFixAaWkpcnNz8aMf/QglJSXYtGkT9u7di3379iE0NHQUsx+fWGdf00qdAaw1zRA0bnk8HpGWliaMRqMoKSnp297a2iqmTJkiDAaDqKqqClyCo8hutwu73R7oNEbFzp07+/6/vvjiiwKA2LJly6DHPvfccwKAePLJJ/ttf/LJJwUAsXHjxpFOd9xjnX1NS3UmBGtNK3hpbBzbvXs3KioqsHLlSsyaNatve0REBH7961+jp6cHb7zxRuASpBGxePFi2O32IY8TQmDz5s2wWCx49tln++179tlnYbFYsHnz5pFKM2iwzrSLtaYNvDQ2ju3ZswcAkJubO2DfkiVLAAB79+4dzZQCyu12Y+vWrairq4PVakV2djbmzp0b6LQCpry8HHV1dViyZAnMZnO/fWazGTk5OcjLy0NNTQ2Sk5MDlOXYxzrrj3U2EGttfGMjNI6Vl5cDADIyMgbsi4+Ph8Vi6TtGC+rr6/Hggw/225adnY13330XaWlpAcoqcK72+bi8PS8vD+Xl5fzjfBWss/5YZwOx1sY3Xhobx5xOJ4DeIfrBWK3WvmOC3YMPPojPP/8cDQ0N6OjoQElJCe6//34cPXoUixYtQltbW6BTHHXD+Xx88zgaHOvsa6yzwbHWxjeOCFFQWLduXb//njVrFt58800AwFtvvYXXX38djz76aCBSIwoarDMKRhwRGscuf/u40rcMl8t1xW8oWvHQQw8BAAoLCwOcyegbzufjm8fR4FhnQ9NynQGstfGOjdA4dvl69GD3J9TX16O9vf2K16y1IiYmBkDvHB9ac7XPxze3a/0zMhTW2dC0XGcAa228YyM0ji1YsAAAsGPHjgH78vLy+h2jVYcPHwYQnJO9DSUjIwMJCQkoLCwc8A9UR0cHCgsLkZqayps3h8A6G5qW6wxgrY13bITGsUWLFmHy5Ml45513UFpa2rfd6XRi48aNMBgM+PGPfxy4BEdJWVkZOjs7B93+5JNPAgBWrlw52mkFnCRJWL16Ndrb2/HCCy/02/fCCy+gvb0dP/3pTwOU3fjBOuvFOrsy1tr4JgkhRKCToOt3pan/q6ursWnTJk1M/b9+/Xr87ne/w/z582G322E2m3HmzBn885//hMfjwVNPPYWNGzcGOk3VbN68GQUFBQCAEydOoLi4GDk5OUhPTwcAzJs3D6tXrwbQ+200JycHx44dQ25uLrKyslBcXIwdO3YgOzsbe/fuhclkCtjvMl6wzrRXZwBrTTMCO7E1qeHw4cPirrvuElarVZhMJjFnzhzx17/+NdBpjZo9e/aIFStWiIyMDGG1WoVerxfx8fFi2bJlIi8vL9DpqW7VqlUCwBV/Vq1a1e/41tZWsXbtWpGcnCxCQkLEpEmTxGOPPSZcLldgfoFxinWmrToTgrWmFRwRIiIiIs3iPUJERESkWWyEiIiISLPYCBEREZFmsREiIiIizWIjRERERJrFRoiIiIg0i40QERERaRYbISIiItIsNkJBxuPxYP369cjIyIDRaIQkSfjoo48CnRZR0GGtEQUHNkJB5re//S2ef/55JCQk4PHHH8e6deswderUEX3PrVu3QpIkbN26dUTf53pVVFRg/fr1+O53v4vExERIkqTZVbJJPay1/oQQ2LZtG9asWYMbb7wRERERCAsLw8yZM7Fx40Z0d3cHOkWiQekDnQCp6x//+AcsFgt27twJg8EQ6HTGhP379+P555+HTqfDtGnTUF9fH+iUKAiw1vpzu91YunQpjEYjFi5ciCVLlqC7uxt5eXl4+umn8dFHH2HPnj0ICwsLdKpE/bARCjJ1dXWIjo7mH+ZvmD9/Pg4ePIiZM2fCZDIhNDQ00ClREGCt9afT6fCb3/wGjzzyCCIjI/u2ezwe/OAHP8Cnn36KV199FU888UQAsyQaRIAXfSWVrFu3btDVke12e98xe/fuFXfffbeIjo4WBoNBpKeni6efflp0dHT0i+V2u8Uf/vAHkZubK5KSkoTBYBCxsbHie9/7niguLu537NVWZ77Mbrf3y+ObFixYIP71Y3j5d8nPzxdbtmwRN910kzCZTGLBggV9x7hcLvHcc8+J6dOni9DQUBERESFyc3PF/v37hzxXRqPxivkQDYW1Nvxau+zAgQMCgPjOd74z7NcQjRaOCAWJhQsXAgB+//vfAwDWrl0LALDZbACAP/7xj/j5z38Om82Ge+65BxMmTEBRURE2bNiA/Px85Ofn932zdTgcWLt2LW677TYsXboUkZGROHfuHD755BNs27YN+/btQ3Z2NgBg+fLlaG1txccff4xly5Zh1qxZqv1OL7/8MvLz87Fs2TLk5uZCp9P15Td//nycOnUKOTk5ePjhh+FyufDxxx/j9ttvx/vvv4/ly5erlgfRN7HWrr3WQkJCAAB6Pf/JoTEo0J0YqWuwb4SnTp0Ser1ezJw5UzQ3N/fb9+KLLwoAYtOmTX3buru7RW1t7YDYJ0+eFBaLRSxevLjf9i1btggAYsuWLcPO6bKrfUs1m83i+PHjA16zcuVKAUC8/vrr/bY3NDSI5ORkERsbK7q6ugZ9PyE4IkTqYK0NXWuXrVmzRgAQr7766pDHEo02PjWmAa+99hq8Xi9eeeUVREdH99v3y1/+ErGxsXj33Xf7thmNRiQmJg6IM2PGDNx+++3Yt28fPB7PiOf9s5/9DJmZmf22NTc3429/+xvuuOMOrF69ut++CRMm4IknnkBTUxN27do14vkR/SvW2kDbtm3Da6+9hmnTpuEnP/mJ6rkT+YvjlBpw6NAhAEBeXh4+//zzAftDQkJQVlbWb1tpaSleeuklFBQUoL6+fsAf4+bmZkycOHHkkgYwZ86cAduOHj0Kn88Ht9uN9evXD9hfXl4OACgrK8Pdd989ovkR/SvW2sAY9957LyIiIvD+++/DaDSqmjeRGtgIaYDD4QAAbNiwYVjHHzhwAHfccQcAIDc3FxkZGbBYLH0Txh07dgxut3vE8r0sLi5uwLbLv0thYSEKCwuv+NqOjo4Ry4voSlhrXysqKkJubi5kWUZeXh5mzJihTrJEKmMjpAFWqxUA4HK5EB4ePuTxGzZsgNvtxv79+zFv3rx++w4dOoRjx45d0/vLsoyenp5B9zmdziu+TpKkAdsu/y6PPfYYNm3adE15EI001lqvoqIi3HnnnVAUBTt27Oi74ZtoLOI9Qhowd+5cAF8P2w+loqICUVFRA/4wd3Z2ori4eMDxl58w8fl8g8aLjIxEY2MjvF5vv+0dHR19w+vDlZ2dDUmScPDgwWt6HdFoYK193QT5fD5s376975wQjVVshDTgkUcegV6vxy9+8QucP39+wP7W1laUlJT0/bfdbkdLSwtOnTrVt83n8+Hxxx9HU1PTgNdHRUUBAGpqagZ9/+zsbHg8HvzlL3/p2yaEwFNPPXXNl7Di4+OxYsUKHDhwAC+//DKEEAOOOXz4MDo7O68pLpEatF5rX3zxBe688054vV5s27YNt9566zW9J1EgSGKwTzeNW5fX0Kqqquq3/fXXX8eaNWsQEhKCpUuXIi0tDW1tbTh37hz27t2LBx54AH/6058A9C4dcM8998Bms2HFihUIDQ3Fnj17cOHCBWRmZmLPnj2orKzsey+Hw4GkpCQYDAasWrUKsbGxAIBnnnkGAHDy5EncfPPNUBQF9957L2JjY7F//360trbCYrHg2LFj/f7Irl+/Hs8//zzy8/P75mz5JofDgUWLFqG0tBSZmZm49dZbYbPZUFNTg6KiIpSXl+PixYuIj48H0Huz6eOPP973+rfeegsmkwk//OEP+7Zt2rQJMTExfp170hbWWv9aczgcSE9PR0tLC+66665BR4JsNlvfvEtEY0bgntynkXC1eUSOHDki7rvvPpGQkCBCQkJETEyMyMrKEr/61a/E6dOn+x37wQcfiKysLBEWFiZiYmLEihUrREVFRd/stpWVlf2O/+yzz0R2drYwmUwDZrsVQojdu3eLuXPnCqPRKKKjo8X9998vGhoahpzt9ko6OzvFSy+9JG6++WZhNpuFyWQSqampYvny5eLNN98UHo+n79jKysorzsh7+edffx+iobDW+tfacOqM83fRWMQRISIiItIs3iNEREREmsVGiIiIiDSLjRARERFpFhshIiIi0iw2QkRERKRZbISIiIhIs9gIERERkWaxESIiIiLNYiNEREREmsVGiIiIiDSLjRARERFpFhshIiIi0iw2QkRERKRZ/w8lIigmhpUfFAAAAABJRU5ErkJggg==\n"},"metadata":{}}],"execution_count":46},{"cell_type":"markdown","source":"### Box Plot","metadata":{}},{"cell_type":"code","source":"sns.boxplot(data=df, x='label', y='numerical_feature', palette='cool')\nplt.title('Box Plot of Numerical Feature by Label')\nplt.show()\nassert 'numerical_feature' in df.columns, \"Ensure 'numerical_feature' exists in the dataset\"","metadata":{"nbgrader":{"grade":true,"grade_id":"box_plot","locked":true,"points":3,"solution":false},"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:07:23.466972Z","iopub.status.idle":"2025-01-09T04:07:23.467292Z","shell.execute_reply":"2025-01-09T04:07:23.467137Z"}},"outputs":[],"execution_count":null},{"cell_type":"code","source":"import pandas as pd\nimport seaborn as sns\nimport matplotlib.pyplot as plt\ndata = {'label':['A','B','A','B','C'],'numerical_feature':[1.5,2.3,3.7,4.1,2.9]}\ndf = pd.DataFrame(data)\nassert 'numerical_feature' in df.columns, \"Ensure 'numerical_feature' exists in the dataset\"\nsns.boxplot(data=df, x='label', y='numerical_feature', palette='Set2')\nplt.title('Box Plot of Numerical Feature by Label')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:13:47.931537Z","iopub.execute_input":"2025-01-09T04:13:47.932044Z","iopub.status.idle":"2025-01-09T04:13:48.19193Z","shell.execute_reply.started":"2025-01-09T04:13:47.932004Z","shell.execute_reply":"2025-01-09T04:13:48.190792Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":47},{"cell_type":"code","source":"sns.boxplot(data=df, x='label', y='numerical_feature', palette='summer_r')\nplt.title('Box Plot of Numerical Feature by Label')\nplt.show()\nassert 'numerical_feature' in df.columns, \"Ensure 'numerical_feature' exists in the dataset\"\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:14:06.645754Z","iopub.execute_input":"2025-01-09T04:14:06.646116Z","iopub.status.idle":"2025-01-09T04:14:06.887254Z","shell.execute_reply.started":"2025-01-09T04:14:06.646089Z","shell.execute_reply":"2025-01-09T04:14:06.885996Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":48},{"cell_type":"markdown","source":"### Count Plot","metadata":{}},{"cell_type":"code","source":"import pandas as pd\ndata = {'categorical_feature':['A','B','A','C','B','C','A']}\ndf = pd.DataFrame(data)\nimport seaborn as sns\nimport matplotlib.pyplot as plt\nassert 'categorical_feature' in df.columns, \"Ensure 'categorical_feature' exists in the dataset\"\nsns.countplot(data=df, x='categorical_feature', palette='coolwarm')\nplt.title('Count Plot of Categorical Feature')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:15:03.891376Z","iopub.execute_input":"2025-01-09T04:15:03.89175Z","iopub.status.idle":"2025-01-09T04:15:04.062053Z","shell.execute_reply.started":"2025-01-09T04:15:03.891723Z","shell.execute_reply":"2025-01-09T04:15:04.060804Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{}}],"execution_count":49},{"cell_type":"code","source":"sns.countplot(data=df, x='categorical_feature', palette='pastel')\nplt.title('Count Plot of Categorical Feature')\nplt.show()\nassert 'categorical_feature' in df.columns, \"Ensure 'categorical_feature' exists in the dataset\"\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2025-01-09T04:15:47.251334Z","iopub.execute_input":"2025-01-09T04:15:47.251726Z","iopub.status.idle":"2025-01-09T04:15:47.415396Z","shell.execute_reply.started":"2025-01-09T04:15:47.251694Z","shell.execute_reply":"2025-01-09T04:15:47.414464Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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\n"},"metadata":{}}],"execution_count":50}]}