DL2022-HW1-P1.ipynb

{"cells":[{"cell_type":"markdown","metadata":{"id":"W9C8irrtoKme"},"source":["# Deep Learning\n","## HW1 - Problem 1 - Recommender System (100 + 20 pts)"]},{"cell_type":"markdown","metadata":{"id":"JfSoF54boT_f"},"source":["### Please fill this part\n","\n","\n","1.   Full Name: Radmehr Karimian\n","2.   Student Number: 98103556\n","\n","\n","*You are just allowded to change those parts that start with \"TO DO\". Please do not change other parts.*\n","\n","*It is highly recommended to read each codeline carefully and try to understand what it exactly does. Best of luck and have fun!*"]},{"cell_type":"code","execution_count":1,"metadata":{"id":"JbLr64MUoIp2","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668628513074,"user_tz":-210,"elapsed":1097,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["import numpy as np\n","import pandas as pd\n","import seaborn as sns\n","from pylab import rcParams\n","import string\n","import re\n","import matplotlib.pyplot as plt\n","import math\n","from matplotlib import rc\n","from google.colab import drive\n","from sklearn.model_selection import train_test_split\n","import matplotlib.ticker as ticker\n","from math import sqrt\n","\n","\n","from sklearn.metrics import mean_squared_error\n","\n","%matplotlib inline\n","\n","sns.set(style='whitegrid', palette='muted', font_scale=1.3)\n","\n","rcParams['figure.figsize'] = 14, 8\n","\n","RANDOM_SEED = 42\n","\n","np.random.seed(RANDOM_SEED)"]},{"cell_type":"code","source":["from google.colab import drive\n","drive.mount('/content/gdrive')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"UmiPhZizBPRr","executionInfo":{"status":"ok","timestamp":1668628844867,"user_tz":-210,"elapsed":167644,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"c0cee998-adde-49ba-c019-f3adacc3edb5"},"execution_count":2,"outputs":[{"output_type":"stream","name":"stdout","text":["Mounted at /content/gdrive\n"]}]},{"cell_type":"code","source":["cd /content/gdrive/MyDrive/DeepLearning"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"uqleoDg0CHQh","executionInfo":{"status":"ok","timestamp":1668629124676,"user_tz":-210,"elapsed":8,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"0ff2474c-1497-4ee4-8dfe-aac1afa166d3"},"execution_count":8,"outputs":[{"output_type":"stream","name":"stdout","text":["/content/gdrive/MyDrive/DeepLearning\n"]}]},{"cell_type":"code","source":["!ls"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"-He2zREVC-PV","executionInfo":{"status":"ok","timestamp":1668629134819,"user_tz":-210,"elapsed":787,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"e57f6c17-3295-4955-a6d5-1e3dac76724d"},"execution_count":9,"outputs":[{"output_type":"stream","name":"stdout","text":["data_HW1\n"]}]},{"cell_type":"code","execution_count":10,"metadata":{"id":"GjQ9J_1OvE-v","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668629151256,"user_tz":-210,"elapsed":859,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["# Change the address as you wish\n","plays = pd.read_csv('./data_HW1/user_artists.dat', sep='\\t')\n","artists = pd.read_csv('./data_HW1/artists.dat', sep='\\t', usecols=['id','name'])"]},{"cell_type":"markdown","metadata":{"id":"M96xlH9OP4M3"},"source":["# Preprocessing (20 pts)"]},{"cell_type":"code","execution_count":15,"metadata":{"id":"1rvLbMSVvSJV","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668629341528,"user_tz":-210,"elapsed":4457,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["###############################################################################\n","## TODO: merge two DataSets in a way that below DataFrame is created         ##\n","###############################################################################\n","\n","ap = pd.merge(plays,artists,left_on = 'artistID',right_on = 'id')\n","ap = ap.sort_values(by = [\"id\",\"userID\"])\n"]},{"cell_type":"code","execution_count":17,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":424},"id":"q1U8Ncp8HZp1","outputId":"da8d6f98-bae4-431f-a5f9-dbbabd264c03","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668629391893,"user_tz":-210,"elapsed":4,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["          id              name  userID  artistID  weight\n","0          1      MALICE MIZER      34         1     212\n","1          1      MALICE MIZER     274         1     483\n","2          1      MALICE MIZER     785         1      76\n","3          2   Diary of Dreams     135         2    1021\n","4          2   Diary of Dreams     257         2     152\n","...      ...               ...     ...       ...     ...\n","92829  18741    Diamanda Galás     454     18741     301\n","92830  18742            Aya RL     454     18742     294\n","92831  18743       Coptic Rain     454     18743     287\n","92832  18744      Oz Alchemist     454     18744     286\n","92833  18745  Grzegorz Tomczak     585     18745     426\n","\n","[92834 rows x 5 columns]"],"text/html":["\n","  <div id=\"df-701929a6-5c68-4295-853c-3d79fccda6fb\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>id</th>\n","      <th>name</th>\n","      <th>userID</th>\n","      <th>artistID</th>\n","      <th>weight</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>1</td>\n","     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<td>18741</td>\n","      <td>Diamanda Galás</td>\n","      <td>454</td>\n","      <td>18741</td>\n","      <td>301</td>\n","    </tr>\n","    <tr>\n","      <th>92830</th>\n","      <td>18742</td>\n","      <td>Aya RL</td>\n","      <td>454</td>\n","      <td>18742</td>\n","      <td>294</td>\n","    </tr>\n","    <tr>\n","      <th>92831</th>\n","      <td>18743</td>\n","      <td>Coptic Rain</td>\n","      <td>454</td>\n","      <td>18743</td>\n","      <td>287</td>\n","    </tr>\n","    <tr>\n","      <th>92832</th>\n","      <td>18744</td>\n","      <td>Oz Alchemist</td>\n","      <td>454</td>\n","      <td>18744</td>\n","      <td>286</td>\n","    </tr>\n","    <tr>\n","      <th>92833</th>\n","      <td>18745</td>\n","      <td>Grzegorz Tomczak</td>\n","      <td>585</td>\n","      <td>18745</td>\n","      <td>426</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>92834 rows × 5 columns</p>\n","</div>\n","      <button class=\"colab-df-convert\" 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ap.reset_index(drop=True)[['id',\"name\",\"userID\",\"artistID\",\"weight\"]]\n","ap"]},{"cell_type":"code","execution_count":18,"metadata":{"id":"GsY0bPL8wg1t","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":424},"executionInfo":{"status":"ok","timestamp":1668629410109,"user_tz":-210,"elapsed":5,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"75082d23-80ae-4f26-ccc7-52a34cbce014"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["          id              name  userID  artistID  playCount\n","0          1      MALICE MIZER      34         1        212\n","1          1      MALICE MIZER     274         1        483\n","2          1      MALICE MIZER     785         1         76\n","3          2   Diary of Dreams     135         2       1021\n","4          2   Diary of Dreams     257         2        152\n","...      ...               ...     ...       ...        ...\n","92829  18741    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\"playCount\"})\n","ap"]},{"cell_type":"code","execution_count":19,"metadata":{"id":"hcVap4lUvTJ9","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":424},"executionInfo":{"status":"ok","timestamp":1668629456404,"user_tz":-210,"elapsed":5,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"6b4c65a4-133c-4cf9-bdd3-3be5b4f74206"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["          id              name  userID  artistID  playCount\n","0          1      MALICE MIZER      34         1        212\n","1          1      MALICE MIZER     274         1        483\n","2          1      MALICE MIZER     785         1         76\n","3          2   Diary of Dreams     135         2       1021\n","4          2   Diary of Dreams     257         2        152\n","...      ...               ...     ...       ...        ...\n","92829  18741    Diamanda Galás     454     18741        301\n","92830  18742            Aya RL     454     18742        294\n","92831  18743       Coptic Rain     454     18743        287\n","92832  18744      Oz Alchemist     454     18744        286\n","92833  18745  Grzegorz Tomczak     585     18745        426\n","\n","[92834 rows x 5 columns]"],"text/html":["\n","  <div id=\"df-8b294fd5-3639-4d69-b5df-d67f40fb2e4e\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>id</th>\n","      <th>name</th>\n","      <th>userID</th>\n","      <th>artistID</th>\n","      <th>playCount</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>1</td>\n","      <td>MALICE MIZER</td>\n","      <td>34</td>\n","      <td>1</td>\n","      <td>212</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>1</td>\n","      <td>MALICE MIZER</td>\n","      <td>274</td>\n","      <td>1</td>\n","      <td>483</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>1</td>\n","      <td>MALICE MIZER</td>\n","      <td>785</td>\n","      <td>1</td>\n","      <td>76</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>2</td>\n","      <td>Diary of Dreams</td>\n","      <td>135</td>\n","      <td>2</td>\n","      <td>1021</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>2</td>\n","      <td>Diary of Dreams</td>\n","      <td>257</td>\n","      <td>2</td>\n","      <td>152</td>\n","    </tr>\n","    <tr>\n","      <th>...</th>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","    </tr>\n","    <tr>\n","      <th>92829</th>\n","      <td>18741</td>\n","      <td>Diamanda Galás</td>\n","      <td>454</td>\n","      <td>18741</td>\n","      <td>301</td>\n","    </tr>\n","    <tr>\n","      <th>92830</th>\n","      <td>18742</td>\n","      <td>Aya RL</td>\n","      <td>454</td>\n","      <td>18742</td>\n","      <td>294</td>\n","    </tr>\n","    <tr>\n","      <th>92831</th>\n","      <td>18743</td>\n","      <td>Coptic Rain</td>\n","      <td>454</td>\n","      <td>18743</td>\n","      <td>287</td>\n","    </tr>\n","    <tr>\n","      <th>92832</th>\n","      <td>18744</td>\n","      <td>Oz Alchemist</td>\n","      <td>454</td>\n","      <td>18744</td>\n","      <td>286</td>\n","    </tr>\n","    <tr>\n","      <th>92833</th>\n","      <td>18745</td>\n","      <td>Grzegorz Tomczak</td>\n","      <td>585</td>\n","      <td>18745</td>\n","      <td>426</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>92834 rows × 5 columns</p>\n","</div>\n","      <button 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Architect                     1                 1      1.000000\n","\n","[17632 rows x 3 columns]"],"text/html":["\n","  <div id=\"df-41e69b0d-5ef4-4abb-8d5f-bd0cf619df2b\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>totalUniqueUsers</th>\n","      <th>totalArtistPlays</th>\n","      <th>avgUserPlays</th>\n","    </tr>\n","    <tr>\n","      <th>name</th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>Britney Spears</th>\n","      <td>522</td>\n","      <td>2393140</td>\n","      <td>4584.559387</td>\n","    </tr>\n","    <tr>\n","      <th>Depeche Mode</th>\n","      <td>282</td>\n","      <td>1301308</td>\n","      <td>4614.567376</td>\n","    </tr>\n","    <tr>\n","      <th>Lady Gaga</th>\n","      <td>611</td>\n","      <td>1291387</td>\n","      <td>2113.563011</td>\n","    </tr>\n","    <tr>\n","      <th>Christina Aguilera</th>\n","      <td>407</td>\n","      <td>1058405</td>\n","      <td>2600.503686</td>\n","    </tr>\n","    <tr>\n","      <th>Paramore</th>\n","      <td>399</td>\n","      <td>963449</td>\n","      <td>2414.659148</td>\n","    </tr>\n","    <tr>\n","      <th>...</th>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","    </tr>\n","    <tr>\n","      <th>Morris</th>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>1.000000</td>\n","    </tr>\n","    <tr>\n","      <th>Eddie Kendricks</th>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>1.000000</td>\n","    </tr>\n","    <tr>\n","      <th>Excess Pressure</th>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>1.000000</td>\n","    </tr>\n","    <tr>\n","      <th>My Mine</th>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>1.000000</td>\n","    </tr>\n","    <tr>\n","      <th>A.M. Architect</th>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>1.000000</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>17632 rows × 3 columns</p>\n","</div>\n","      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-41e69b0d-5ef4-4abb-8d5f-bd0cf619df2b')\"\n","              title=\"Convert this dataframe to an interactive table.\"\n","              style=\"display:none;\">\n","        \n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","       width=\"24px\">\n","    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n","    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n","  </svg>\n","      </button>\n","      \n","  <style>\n","    .colab-df-container {\n","      display:flex;\n","      flex-wrap:wrap;\n","      gap: 12px;\n","    }\n","\n","    .colab-df-convert {\n","      background-color: #E8F0FE;\n","      border: none;\n","      border-radius: 50%;\n","      cursor: pointer;\n","      display: none;\n","      fill: #1967D2;\n","      height: 32px;\n","      padding: 0 0 0 0;\n","      width: 32px;\n","    }\n","\n","    .colab-df-convert:hover {\n","      background-color: #E2EBFA;\n","      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n","      fill: #174EA6;\n","    }\n","\n","    [theme=dark] .colab-df-convert {\n","      background-color: #3B4455;\n","      fill: #D2E3FC;\n","    }\n","\n","    [theme=dark] .colab-df-convert:hover {\n","      background-color: #434B5C;\n","      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n","      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n","      fill: #FFFFFF;\n","    }\n","  </style>\n","\n","      <script>\n","        const buttonEl =\n","          document.querySelector('#df-41e69b0d-5ef4-4abb-8d5f-bd0cf619df2b button.colab-df-convert');\n","        buttonEl.style.display =\n","          google.colab.kernel.accessAllowed ? 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Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["###############################################################################\n","## TODO: Create  a Dataframe like below where for each name in ap dataframe,\n","# corresponding row in artist rank is attached to it  \n","###############################################################################\n","\n","\n","\n","ap = pd.merge(ap, artist_rank,left_on = 'name', right_on='name')\n","ap = ap.sort_values(by = \"playCount\",ascending=False)"]},{"cell_type":"code","execution_count":25,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":845},"id":"K7FlfjZCbF_5","outputId":"f50ebc0b-8c9b-4489-be75-b7d7d57b8e78","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668630555580,"user_tz":-210,"elapsed":660,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["        id                name  userID  artistID  playCount  \\\n","2800    72        Depeche Mode    1642        72     352698   \n","35843  792              Thalía    2071       792     324663   \n","27302  511                  U2    1094       511     320725   \n","8152   203                Blur    1905       203     257978   \n","26670  498            Paramore    1664       498     227829   \n","21191  378         Evanescence    1146       378     203165   \n","14165  292  Christina Aguilera     514       292     176133   \n","33309  701             Shakira    1983       701     172496   \n","33127  701             Shakira     757       701     169596   \n","31835  679           Glee Cast    1086       679     165902   \n","26983  503           In Flames     903       503     146411   \n","32498  687        All Time Low     946       687     144559   \n","13324  289      Britney Spears     542       289     131733   \n","21165  378         Evanescence     938       378     129595   \n","13680  289      Britney Spears    2031       289     128654   \n","25865  486  30 Seconds to Mars    1368       486     125471   \n","5575   163          Pink Floyd     292       163     123065   \n","3640    89           Lady Gaga    1135        89     114672   \n","6792   187                a-ha     442       187     112009   \n","7737   198    System of a Down     459       198     110185   \n","\n","       totalUniqueUsers_x  totalArtistPlays_x  avgUserPlays_x  \\\n","2800                  282             1301308     4614.567376   \n","35843                  26              350035    13462.884615   \n","27302                 185              493024     2664.994595   \n","8152                  114              318221     2791.412281   \n","26670                 399              963449     2414.659148   \n","21191                 226              513476     2272.017699   \n","14165                 407             1058405     2600.503686   \n","33309                 319              688529     2158.398119   \n","33127                 319              688529     2158.398119   \n","31835                 249              506453     2033.947791   \n","26983                  67              237148     3539.522388   \n","32498                  77              215777     2802.298701   \n","13324                 522             2393140     4584.559387   \n","21165                 226              513476     2272.017699   \n","13680                 522             2393140     4584.559387   \n","25865                 216              485532     2247.833333   \n","5575                  258              466104     1806.604651   \n","3640                  611             1291387     2113.563011   \n","6792                   97              205195     2115.412371   \n","7737                  181              277397     1532.580110   \n","\n","       totalUniqueUsers_y  totalArtistPlays_y  avgUserPlays_y  \n","2800                  282             1301308     4614.567376  \n","35843                  26              350035    13462.884615  \n","27302                 185              493024     2664.994595  \n","8152                  114              318221     2791.412281  \n","26670                 399              963449     2414.659148  \n","21191                 226              513476     2272.017699  \n","14165                 407             1058405     2600.503686  \n","33309                 319              688529     2158.398119  \n","33127                 319              688529     2158.398119  \n","31835                 249              506453     2033.947791  \n","26983                  67              237148     3539.522388  \n","32498                  77              215777     2802.298701  \n","13324                 522             2393140     4584.559387  \n","21165                 226              513476     2272.017699  \n","13680                 522             2393140     4584.559387  \n","25865                 216              485532     2247.833333  \n","5575                  258              466104     1806.604651  \n","3640                  611             1291387     2113.563011  \n","6792                   97              205195     2115.412371  \n","7737                  181              277397     1532.580110  "],"text/html":["\n","  <div id=\"df-63e9ce6d-c356-44aa-b7ec-6ba9fcfc6988\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>id</th>\n","      <th>name</th>\n","      <th>userID</th>\n","      <th>artistID</th>\n","      <th>playCount</th>\n","      <th>totalUniqueUsers_x</th>\n","      <th>totalArtistPlays_x</th>\n","      <th>avgUserPlays_x</th>\n","      <th>totalUniqueUsers_y</th>\n","      <th>totalArtistPlays_y</th>\n","      <th>avgUserPlays_y</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>2800</th>\n","      <td>72</td>\n","      <td>Depeche Mode</td>\n","      <td>1642</td>\n","      <td>72</td>\n","      <td>352698</td>\n","      <td>282</td>\n","      <td>1301308</td>\n","      <td>4614.567376</td>\n","      <td>282</td>\n","      <td>1301308</td>\n","      <td>4614.567376</td>\n","    </tr>\n","    <tr>\n","      <th>35843</th>\n","      <td>792</td>\n","      <td>Thalía</td>\n","      <td>2071</td>\n","      <td>792</td>\n","      <td>324663</td>\n","      <td>26</td>\n","      <td>350035</td>\n","      <td>13462.884615</td>\n","      <td>26</td>\n","      <td>350035</td>\n","      <td>13462.884615</td>\n","    </tr>\n","    <tr>\n","      <th>27302</th>\n","      <td>511</td>\n","      <td>U2</td>\n","      <td>1094</td>\n","      <td>511</td>\n","      <td>320725</td>\n","      <td>185</td>\n","      <td>493024</td>\n","      <td>2664.994595</td>\n","      <td>185</td>\n","      <td>493024</td>\n","      <td>2664.994595</td>\n","    </tr>\n","    <tr>\n","      <th>8152</th>\n","      <td>203</td>\n","      <td>Blur</td>\n","      <td>1905</td>\n","      <td>203</td>\n","      <td>257978</td>\n","      <td>114</td>\n","      <td>318221</td>\n","      <td>2791.412281</td>\n","      <td>114</td>\n","      <td>318221</td>\n","      <td>2791.412281</td>\n","    </tr>\n","    <tr>\n","      <th>26670</th>\n","      <td>498</td>\n","      <td>Paramore</td>\n","      <td>1664</td>\n","      <td>498</td>\n","      <td>227829</td>\n","      <td>399</td>\n","      <td>963449</td>\n","      <td>2414.659148</td>\n","      <td>399</td>\n","      <td>963449</td>\n","      <td>2414.659148</td>\n","    </tr>\n","    <tr>\n","      <th>21191</th>\n","      <td>378</td>\n","      <td>Evanescence</td>\n","      <td>1146</td>\n","      <td>378</td>\n","      <td>203165</td>\n","      <td>226</td>\n","      <td>513476</td>\n","      <td>2272.017699</td>\n","      <td>226</td>\n","      <td>513476</td>\n","      <td>2272.017699</td>\n","    </tr>\n","    <tr>\n","      <th>14165</th>\n","      <td>292</td>\n","      <td>Christina Aguilera</td>\n","      <td>514</td>\n","      <td>292</td>\n","      <td>176133</td>\n","      <td>407</td>\n","      <td>1058405</td>\n","      <td>2600.503686</td>\n","      <td>407</td>\n","      <td>1058405</td>\n","      <td>2600.503686</td>\n","    </tr>\n","    <tr>\n","      <th>33309</th>\n","      <td>701</td>\n","      <td>Shakira</td>\n","      <td>1983</td>\n","      <td>701</td>\n","      <td>172496</td>\n","      <td>319</td>\n","      <td>688529</td>\n","      <td>2158.398119</td>\n","      <td>319</td>\n","      <td>688529</td>\n","      <td>2158.398119</td>\n","    </tr>\n","    <tr>\n","      <th>33127</th>\n","      <td>701</td>\n","      <td>Shakira</td>\n","      <td>757</td>\n","      <td>701</td>\n","      <td>169596</td>\n","      <td>319</td>\n","      <td>688529</td>\n","      <td>2158.398119</td>\n","      <td>319</td>\n","      <td>688529</td>\n","      <td>2158.398119</td>\n","    </tr>\n","    <tr>\n","      <th>31835</th>\n","      <td>679</td>\n","      <td>Glee Cast</td>\n","      <td>1086</td>\n","      <td>679</td>\n","      <td>165902</td>\n","      <td>249</td>\n","      <td>506453</td>\n","      <td>2033.947791</td>\n","      <td>249</td>\n","      <td>506453</td>\n","      <td>2033.947791</td>\n","    </tr>\n","    <tr>\n","      <th>26983</th>\n","      <td>503</td>\n","      <td>In Flames</td>\n","      <td>903</td>\n","      <td>503</td>\n","      <td>146411</td>\n","      <td>67</td>\n","      <td>237148</td>\n","      <td>3539.522388</td>\n","      <td>67</td>\n","      <td>237148</td>\n","      <td>3539.522388</td>\n","    </tr>\n","    <tr>\n","      <th>32498</th>\n","      <td>687</td>\n","      <td>All Time Low</td>\n","      <td>946</td>\n","      <td>687</td>\n","      <td>144559</td>\n","      <td>77</td>\n","      <td>215777</td>\n","      <td>2802.298701</td>\n","      <td>77</td>\n","      <td>215777</td>\n","      <td>2802.298701</td>\n","    </tr>\n","    <tr>\n","      <th>13324</th>\n","      <td>289</td>\n","      <td>Britney Spears</td>\n","      <td>542</td>\n","      <td>289</td>\n","      <td>131733</td>\n","      <td>522</td>\n","      <td>2393140</td>\n","      <td>4584.559387</td>\n","      <td>522</td>\n","      <td>2393140</td>\n","      <td>4584.559387</td>\n","    </tr>\n","    <tr>\n","      <th>21165</th>\n","      <td>378</td>\n","      <td>Evanescence</td>\n","      <td>938</td>\n","      <td>378</td>\n","      <td>129595</td>\n","      <td>226</td>\n","      <td>513476</td>\n","      <td>2272.017699</td>\n","      <td>226</td>\n","      <td>513476</td>\n","      <td>2272.017699</td>\n","    </tr>\n","    <tr>\n","      <th>13680</th>\n","      <td>289</td>\n","      <td>Britney Spears</td>\n","      <td>2031</td>\n","      <td>289</td>\n","      <td>128654</td>\n","      <td>522</td>\n","      <td>2393140</td>\n","      <td>4584.559387</td>\n","      <td>522</td>\n","      <td>2393140</td>\n","      <td>4584.559387</td>\n","    </tr>\n","    <tr>\n","      <th>25865</th>\n","      <td>486</td>\n","      <td>30 Seconds to Mars</td>\n","      <td>1368</td>\n","      <td>486</td>\n","      <td>125471</td>\n","      <td>216</td>\n","      <td>485532</td>\n","      <td>2247.833333</td>\n","      <td>216</td>\n","      <td>485532</td>\n","      <td>2247.833333</td>\n","    </tr>\n","    <tr>\n","      <th>5575</th>\n","      <td>163</td>\n","      <td>Pink Floyd</td>\n","      <td>292</td>\n","      <td>163</td>\n","      <td>123065</td>\n","      <td>258</td>\n","      <td>466104</td>\n","      <td>1806.604651</td>\n","      <td>258</td>\n","      <td>466104</td>\n","      <td>1806.604651</td>\n","    </tr>\n","    <tr>\n","      <th>3640</th>\n","      <td>89</td>\n","      <td>Lady Gaga</td>\n","      <td>1135</td>\n","      <td>89</td>\n","      <td>114672</td>\n","      <td>611</td>\n","      <td>1291387</td>\n","      <td>2113.563011</td>\n","      <td>611</td>\n","      <td>1291387</td>\n","      <td>2113.563011</td>\n","    </tr>\n","    <tr>\n","      <th>6792</th>\n","      <td>187</td>\n","      <td>a-ha</td>\n","      <td>442</td>\n","      <td>187</td>\n","      <td>112009</td>\n","      <td>97</td>\n","      <td>205195</td>\n","      <td>2115.412371</td>\n","      <td>97</td>\n","      <td>205195</td>\n","      <td>2115.412371</td>\n","    </tr>\n","    <tr>\n","      <th>7737</th>\n","      <td>198</td>\n","      <td>System of a Down</td>\n","      <td>459</td>\n","      <td>198</td>\n","      <td>110185</td>\n","      <td>181</td>\n","      <td>277397</td>\n","      <td>1532.580110</td>\n","      <td>181</td>\n","      <td>277397</td>\n","      <td>1532.580110</td>\n","    </tr>\n","  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Visit the ' +\n","            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n","            + ' to learn more about interactive tables.';\n","          element.innerHTML = '';\n","          dataTable['output_type'] = 'display_data';\n","          await google.colab.output.renderOutput(dataTable, element);\n","          const docLink = document.createElement('div');\n","          docLink.innerHTML = docLinkHtml;\n","          element.appendChild(docLink);\n","        }\n","      </script>\n","    </div>\n","  </div>\n","  "]},"metadata":{},"execution_count":25}],"source":["ap.head(20)"]},{"cell_type":"markdown","metadata":{"id":"R-y3JEXu5fco"},"source":["# Exploration"]},{"cell_type":"code","execution_count":26,"metadata":{"id":"AFOW6AxQFqTM","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668630568005,"user_tz":-210,"elapsed":4,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["def bar_chart_int(x,y,x_label,y_label,title,caption,total_val):\n","    fig, ax = plt.subplots();\n","    fig.set_size_inches(16, 5);\n","    ax = sns.barplot(x[:20], y[:20], palette='Blues_r');\n","    ax.set_xlabel(x_label);\n","    ax.set_ylabel(y_label);\n","    ax.set_title(title);\n","    ax.get_yaxis().set_major_formatter(ticker.FuncFormatter(lambda x, p: '{:,}'.format(int(x))));\n","\n","    # our bar label placement\n","    for p in ax.patches:\n","        height = p.get_height()\n","        pct = 100*(height/total_val)\n","        ax.text(p.get_x()+p.get_width()/2.,\n","                height + 3,\n","                '{:1.1f}%'.format(pct),\n","                ha=\"center\",verticalalignment='bottom',color='black', fontsize=12);\n","\n","    # our caption statement\n","    ax.text(19, max(y[:20])*0.95, caption,horizontalalignment='right');\n","\n","    plt.xticks(rotation=90);\n","    plt.show();"]},{"cell_type":"code","execution_count":27,"metadata":{"id":"E537drc0GMOO","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":545},"executionInfo":{"status":"ok","timestamp":1668630573900,"user_tz":-210,"elapsed":5,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"c3f266e9-4503-4581-fca8-2b079f5f0794"},"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n","  FutureWarning\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 1152x360 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAA/AAAAHYCAYAAADqPwN8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3hVVdr38W+6JKGFIEVaaImkaAIhhOQJTSwgCIyUeagGS+iCID2UiCLdJICiAgIjQ5eAA4wUg/SSjFRxpEgPSRAhlNTz/sHLfjgkhwRMIfr7XFcus9e+1173ice55t57rbWtTCaTCRERERERERF5olkXdQIiIiIiIiIikjsV8CIiIiIiIiLFgAp4ERERERERkWJABbyIiIiIiIhIMaACXkRERERERKQYUAEvIiIiIiIiUgyogBcRESlE7u7uuf6MGDEi1+tERUWxf//+x8ph7969uLu7c+DAgYfGde/e3cjJw8ODkJAQ+vXrx3//+18jZvXq1bi7u3P58uXHyiW/nT9/Hnd3d9auXVvgY125coV69erh4+NDSkrKI/VdvXo133zzTbb2qKgo6tWr90jX+iPfBRERKV5sizoBERGRv5Jly5aZHQ8aNAh3d3f69u1rtLm4uOR6nejoaGxsbPD398/3HO/n7e3NmDFjMJlMnDlzhsjISLp168a3336Lq6trgY79pFu/fj2ZmZlkZmayceNGXn/99Tz3XbNmDTY2NrRr186svWPHjoSEhDxSHoX1XRARkaKnAl5ERKQQPf/882bH9vb2uLi4ZGt/Ujg7Oxu5+fr68swzz9C9e3diYmIIDQ0t4uyK1tq1a6lTpw4pKSmsXbs2TwV8Wloa9vb2Fs9XrFiRihUr5meaIiLyJ6Ip9CIiIk+Ybdu28be//Q1vb28CAgIYOnQoV65cMc67u7sD8MknnxhT3FevXg1ATEwM3bt3JyAgAD8/P15//XW2bNmSb7l5e3sDcO7cOYsxX331FZ06dcLf35+GDRvSrVs3Dh48aJw/fvw47u7uxMbGZuvbtWtXevfuDUB6ejrTp0+nefPmeHl5ERgYSM+ePTl9+nSueaamphIeHo6/vz/169dn1KhR3Lx5E7hbRAcGBjJlypRs/T755BP8/f25c+fOQ6//888/89NPP9G2bVtat27N/v37uXTpklnMvaUKW7ZsYejQofj7+9OxY0e6d+/Ovn372L17d7ZlEzlNof/iiy946aWXjO9Dly5diIuLAx7+XRARkT8fPYEXERF5gnz//ff06dOHpk2bMmDAAJKTk5kxYwbdu3dnzZo1ODo6smzZMjp37kznzp3p0KEDANWqVQPurgF/5ZVXCAsLw2QysX37dvr27ctnn31G06ZN/3B+58+fB6BChQoWYy5dukTnzp2pXLkyaWlprF+/nh49erBq1So8PDx49tln8fHxYcWKFTRp0sTod/LkSQ4cOEBkZCQA8+bNY8mSJbz33nvUrVuX69evc/DgQW7cuJFrntHR0dSvX5/p06dz6tQpZs6cyZ07d5gxYwb29vZ06NCBNWvWMHjwYOzs7ADIzMxk1apVtG3blqeeeuqh11+7di1WVla0adOG69ev88UXX7Bu3TrefvvtbLHjx4/npZdeYtasWWRmZlK5cmWGDRuGjY0NY8aMASwvm/jmm2+YMWMGAwYMwM/Pj5s3b3LkyBGuX78O8NDvgoiI/PmogBcREXmCREZGUqdOHebMmYO19d2JcjVr1qRLly6sXbuWv//978aU9ooVK2aben//WvqsrCwaNWrE6dOn+ec///lYBbzJZCIjI8NYAz927Fjs7Oxo0aKFxT73b8KXmZlJUFAQx44dY+XKlUbB2qVLF8LDw0lMTKR8+fIArFy5knLlytG8eXMADh06RFBQEN26dTOu98ILL+Qpb1dXV2bOnAlASEgI1tbWfPjhh/Tr149atWrRuXNnvvzyS7Zu3cpLL70EwPbt20lISKBjx44PvXZWVhbr16/H39+fSpUqUalSJWPjvJwK+MDAQONz3+Ps7IyNjU2uSycOHTqEu7s7ffr0Mdru/X2Ah34XRETkz0dT6EVERJ4QN2/e5NixY7Rq1coo3uH/1p7ntms8wKlTpxg0aBDBwcHUq1cPT09Ptm/fzpkzZx4rpz179uDp6YmXlxevvvoqly9fZsaMGdSpU8din0OHDvHmm28SGBho5PDLL7+YTX1v1aoVjo6OrFmzBrg7rX3NmjW0b9/eeCLu5eVFbGwss2bNIj4+noyMjDznfa8ov//YZDJx+PBh4O5T6saNG7N8+XIjZvny5fj4+ODh4fHQa+/du5fLly/Ttm1bo61t27b88ssvHD16NFv8/QX3o/Ly8uL48eN88MEH7Nmzh9TU1Me+loiIFH96Ai8iIvKEuHHjBiaTKcfd3V1dXfn9998f2j8lJYXevXvj6OjIkCFDqFKlCiVKlCA6Otrs1W+PwsfHh/DwcKytrSlfvjxPP/30Q+MvXrzIG2+8QZ06dRgzZgwVKlTAwcGBcePGkZaWZsSVKFGC1157jRUrVvDWW2+xefNmfvvtN7On3++88w62trbExMQwd+5cSpUqRfv27RkyZEiuU9wfnJJerlw5ALO9BLp06cKgQYO4cOECtra2xMbGMmHChFz/JjExMdjZ2dG4cWNjKnuTJk2YNm0aMTExeHp6msX/kd3627dvz+3bt1m5ciVLlizhqaee4uWXX2bEiBGUKVPmsa8rIiLFkwp4ERGRJ0TJkiWxsrIiKSkp27mkpCSqVq360P4//vgjFy9eZNmyZWbTqXPbkO1hnJycjI3r8mLHjh2kpKQQFRVlTI0HuH79Ok5OTmaxXbp0YfHixezZs4cVK1bQsGFDatSoYZy3t7enT58+9OnTh0uXLrFx40amTZuGk5MTgwYNemgeV69eNTtOTk4GMLsB0bx5c8qVK8fKlSuxt7fHwcGBVq1aPfS6d+7cYdOmTaSnp+f4ZP3bb7/l/fffx8bG5qHXySsrKyu6du1K165duXr1Klu3buXDDz8kKysrx034RETkz01T6EVERJ4QTk5O1KtXjw0bNmAymYz2//znP1y4cIEGDRoYbXZ2dtmmU9++fds4d8/58+fNdoAvaPdysLX9v2cEBw8ezHHX+tq1a1O/fn0iIyPZvXs3nTp1snjdSpUq8cYbb1C3bt08zSbYtGlTtmMrKyt8fHyMNltbW15//XVWrVrFypUrefXVV7PdZHjQli1buHnzJsOHD2fRokVmP4MGDSIxMZGdO3fmmp+9vf0jT4d3cXHh9ddfp3HjxmZ/g5y+CyIi8uekJ/AiIiJPkIEDBxIWFka/fv3o3LmzsQt9jRo1aNeunRFXq1Yttm7dSqNGjXB2dqZKlSr4+vri5OTEhAkT6NevH9evXycyMpIKFSqY3RAoSIGBgdjY2DBixAh69OjBxYsXiYqKsvhu8y5dujBs2DDKlCmTbd16nz59qFevHvXq1cPZ2ZkDBw5w4sSJhxb69yQlJTF48GDat29v7ELfunVratasaRbXqVMnPvvsM7KysnLdvA7u7j7v4uJC9+7dzW6UwN3lBl9++SUxMTGEhIQ89Do1a9ZkxYoVfPfdd1SsWJGyZctSpUqVbHFjx47F2dkZX19fypQpw4kTJ9ixY4fZxn45fRfKli2b62cREZHiR0/gRUREniBNmzZlzpw5XL58mf79+zN58mQCAgJYtGgRJUqUMOLGjRvHU089Rd++fXn99dfZtm0b5cqVIyoqijt37tC/f3+io6Pp27cvjRo1KrT869aty8cff8yZM2cICwtjyZIlRERE4ObmlmN8ixYtsLa2pm3bttjb25uda9CgAbGxsYwYMYJ33nmHDRs2MHLkSP7+97/nmkf//v0pWbIk7733HpGRkbRq1YqJEydmi6tcuTJeXl54eHiYPZ3PSXJyMjt37uTVV1/NVrzD3XX9L7/8Mps3bzbeOW/JvU3+xowZw+uvv050dHSOcX5+fhw6dIixY8fSu3dvlixZwptvvsm7775rxOT0XRARkT8nK1Nh3ZIXERERecDGjRsZNGgQ69evf+jO9gXlypUrNG/enJEjR9K1a9dCH19ERORRaAq9iIiIFLqzZ8/y66+/MmPGDIKDgwu9eL969SqnTp3i888/x8nJiddee61QxxcREXkcmkIvIiIihW7OnDmEhYXh4uKSp1e35bfvv/+erl27cvLkSaZNm4azs3Oh5yAiIvKoCnUK/eeff86///1vTp06hY2NDfXq1WPQoEH4+vo+tJ+7u3u2trCwMAYPHmwc37hxgw8//JDNmzeTkZFBUFAQ4eHhZq+LSUtLY/r06cTExHDz5k38/PwYO3YstWrVeuj4J0+eZOLEicTHxxt36d977z2z9W8JCQlERESwc+dObG1teeGFFxg9erTZ/yHIS44iIiIiIiIiOSnUAv6tt97ixRdfxNvbGzs7O7744gs2btzIN998Q/Xq1S32c3d3Z8KECbRo0cJoc3R0NHvVS1hYGKdPn2bSpEk4ODgwadIk0tLSWLlyJdbWdycaREREsGHDBj766CMqVKhAZGQkR48e5V//+pfF18akpKTwyiuv8Nxzz9G/f38SEhIYMWIEbdq0YdSoUQBkZmbSoUMHHB0dGTVqFKmpqYwePZratWsze/bsR8oxN1lZWdy8eRM7OzusrKzy1EdERERERESefCaTifT0dJycnHKsEYt0E7usrCwCAwPp378/3bt3txjn7u7OjBkzaN26dY7nT548SatWrVi8eDENGzYE7q6ta9myJfPnzycoKIiUlBQaNWpEREQE7du3B+4W50FBQYwePdriK2mWLl3KlClT2LlzJ46OjgCsWLGCiRMnsnv3bpydndm+fTtvvfUWW7ZsMV4Bs3v3bnr16sXGjRtxc3PLU455cePGDX7++ec8xYqIiIiIiEjxU7duXUqWLJmtvUg3sUtNTSUtLY1SpUrlGjt58mQmTpxI5cqVadWqFb169TKmsMfHx+Pg4ECDBg2M+GrVqlG9enXi4uIICgri8OHDpKenmxXKzs7O+Pn5ERcXZ7GAj4+Px8/PzyjeAUJCQkhLS+Po0aMEBAQQHx9PjRo1zN7fGhAQgL29PfHx8bi5ueUpx7y495nr1q2b7XU7IiIiIiIiUnylpaXx888/5/i6UijiAn7KlCmUKlXKbGp8TgYMGECjRo1wdnbm4MGDzJo1i3Pnzhnvc01KSsLFxSXbFANXV1cSExONGCsrK8qVK2cxJidJSUm4urqatZUrVw4rKyuzaz8YY21tjYuLi1lMbjnmxb1p87k9hR87diz79u3jzp07lCtXjh49etCuXbtscevWrSMiIgIHBwejbebMmTRo0ICMjAzGjh3L7t278fb25qOPPjLW9M+fPx97e3u6deuW59xFREREREQkd5aWSxdZAT9nzhzWr1/PggULct35tX///sbvHh4eODk5MXz4cIYMGUKZMmUKOtUnkpeXl1nR/aCpU6dSu3ZtHBwc+Omnn2jatCnt2rWjfv36ZnGHDx8mMDCQHTt2ZLvG8uXLKVeuHL/99htdu3Zl//79DB06lNOnT3Pw4EF27NiBra3eRCgiIiIiIpIfUlNTOXLkiMXzRfIaucjISBYsWMD8+fPx8vJ65P5+fn4A/Prrr8Ddp9i//fYbWVlZZnHJycmUL1/eiDGZTCQnJ1uMyYmrq2uOfUwmk9m1k5KSzGKysrK4evWqWUxuOeYnT09Po8C3srLCysqKkydPPtI1Tp8+TdOmTbG1taVZs2acOnUKgIEDBzJ9+nQV7yIiIiIiIoWo0Av4qVOnsmTJEhYsWIC3t/djXePo0aMARuHr6+vLnTt3OHjwoBFz7tw5zpw5YxT793a+37VrlxFz8+ZN4uLijJic+Pr6EhcXx+3bt422H374AXt7ezw9PY2YM2fOcOHCBSNm7969pKWlGa/Iy0uO+a1v3744Ojri4eFBpUqVaNWqVY5x8fHxuLq6UrduXSIiIsjIyADuPuXfunUrqampbNu2DU9PT9asWYOrq2ue1+yLiIiIiIhI/ijUAj4iIoKvv/6aadOmUaFCBRITE0lMTOTGjRsW+2zdupVly5Zx4sQJzp07x9q1a5k4cSIvvvgilStXBqBWrVo0a9aM8PBwDhw4wOHDhxk2bBienp4EBgYCdzes69y5M9OmTWP79u389NNPvP/++5QuXdri7vYAbdq0wcnJiffff58TJ06wfft2ZsyYQZcuXYyp/0FBQXh4eDBs2DCOHDnCgQMHGD9+PC1atMDNzS3POea3OXPmcOPGDX744Qc6dOiQ45T7kJAQjhw5wpUrV1i1ahVLly5l6tSpALRq1Qo3Nzf8/f0pXbo0Xbp0YcKECUyZMoXRo0cTEhJC3759SUtLK5D8RURERERE5P8U6mvk3N3dc2xv3749kydPBmD16tWMHDnSeCXb9u3bmTlzJr/++iuZmZk888wztG3bljfeeMOsIL1x4waTJk1i8+bNZGZm0rhxY8LDw6lQoYIRk5aWxrRp04iJieHWrVv4+voSHh5OrVq1jJgRI0awb98+tm7darT98ssvREREEB8fj6OjI6+99hpDhw412xkwISGBiRMnsmvXLmxsbGjZsiWjR482W9+flxxzc29NRG5r4B8UFhZGvXr1GDhw4EPj/vnPfzJ16lSzmQL3DBs2jFq1alGtWjU++eQTNm7cyFtvvUWDBg0ICwvLcy4iIiIiIiKSXW71XqEuYj5x4kSuMefPn6d27dpUrFgRuPuEOCQkJNd+JUuWNG4CWGJvb8+oUaMYNWrUQ8cPDg42a6tduzZfffXVQ69doUIFZs+e/YdzLCgZGRl5WgNvZWVFTvd0Dh8+zK5du/j444+ZOnUq9evXx8rKCn9/f3788ceCSFlERERERETuUySb2D1MbGws4eHhRbJB2o0bNzh9+jSDBw8u9LHz05UrV/jnP/9JSkoKmZmZbNq0iaVLl+b4ur4NGzaQkJAAwE8//URERASvvfaaWYzJZKJ///5ERkZibW2Nm5sbO3bsIC0tjdjYWGrWrFkon0tEREREROSv7Ikr4FetWkVAQECRjF2yZEl27txJ2bJli2T8/GJlZcXcuXOpUqUKZcuWZejQocyaNYu2bdty9uxZnJ2dOXv2LABbtmzBx8cHJycnWrVqRYcOHbLNUFiwYAFeXl7GK+g6dOhA5cqVKV++PMnJybz99tuF/hlFRERERET+agp1Dbz8cY+7Bl5ERERERESebLnVe0/cE3gRERERERERyU4F/J/AndT0ok7BzJOWj4iIiIiIyJ9B4e8UJ/nuKQc7KjZ5t6jTMFyOnVXUKYiIiIiIiPzp6Am8iIiIiIg8kqioKNzd3Y2fgIAA/v73v/P9998XdWqPbfPmzSxatKio0/jDTCYTH3/8McHBwXh4eNC3b98c486fP09UVBQXL158rHH27t1LdHT0Y+fZvXt3evXq9dj977d69Wrc3d25fPlyvlzvSaYCXkREREREHpmNjQ3Lli1j2bJlTJo0CWtra9555x127txZ1Kk9ls2bN7N48eKiTuMP27p1K/Pnz6d3794sXbqUYcOG5Rh34cIFoqOjH7uA37dvH3PmzPkjqcpj0BR6ERERERF5LM8//7zxe6NGjWjatCmLFy8mKCjosa+Znp6Ora0tVlZW+ZHiX87JkycB6NmzJ9bWel77Z6N/oyIiIiIi8oc5OztTo0YNzp07Z7Tt2rWLrl278vzzz1O/fn0GDhzIpUuXzPq5u7sTHR1NZGQkISEheHt7c/36dQDWr1/P3/72N5577jkaNmxIjx49OHbsmNE3JSWFDz/8kCZNmuDl5cVLL73E8uXLza4fFRVFvXr1OH36NG+88QbPP/88LVu25B//+IcRM2LECNasWcPZs2eNZQHdu3cH4PTp0wwdOpRmzZrh4+PDiy++yJQpU7h9+7bZODdu3GD48OH4+fnRsGFDJkyYwIoVK3B3d+f8+fNGXHp6OtHR0bRs2RIvLy+aN2/Op59+Sl7e7v3LL7/wzjvv4Ofnx/PPP0+PHj348ccfjfPdu3dn+vTpADz77LO4u7uzevXqbNfZu3cvPXr0AKBr167GZ76X5/Xr1wkPD6dx48Z4eXnRpk0bvvnmG7O/aXR0NJmZmUbf5s2bA5CUlMSYMWNo2bIlPj4+NG/enLFjx3Lt2rVcP9+D7k2NP3DgAKGhoTz33HP8z//8D59//nmufb/66is6deqEv78/DRs2pFu3bhw8eNA4f/z4cdzd3YmNjc3Wt2vXrvTu3Ru4++9r+vTpNG/eHC8vLwIDA+nZsyenT59+5M+TH/QEXkRERERE/rCMjAwuX75M3bp1AdiyZQv9+/fn5Zdf5q233uLWrVtER0fTo0cP1q5di6Ojo9H3n//8J+7u7owbNw4ABwcH5s+fz8cff8yrr75K3759sbGxIT4+noSEBOrVq0d6ejpvvvkmZ8+epV+/fri5ubFjxw7GjRtHZmYmf//7343rm0wmBg4cSKdOnXjrrbdYs2YNEydOpHbt2gQEBNC3b1+uXr3KiRMn+OSTT4C7NyQAEhISeOaZZ3j55ZcpVaoUp06dYvbs2Vy4cMGIBRg5ciQ7d+5k8ODB1KhRg3Xr1uW4Rvy9995jx44dhIWF4eXlxaFDh5g9ezYpKSkMHTrU4t/38uXLdO3aFRcXFz744APs7Oz44osv6N69u3GjYNy4cSxatMhY2gBQrVq1bNfy9PQkPDyciRMnMnHiRNzd3QF4+umnyczM5O233+a///0vgwcPplq1anz77bcMHz6ctLQ0OnXqRMeOHbl8+TJr1qzh66+/BsDe3h6Aa9eu4ejoyPvvv0+ZMmW4cOECn332GW+++SYrV67M7WuUo6FDh9KhQwdCQ0PZtm0b06ZNo2TJknTp0sVin0uXLtG5c2cqV65MWloa69evp0ePHqxatQoPDw+effZZfHx8WLFiBU2aNDH6nTx5kgMHDhAZGQnAvHnzWLJkCe+99x5169bl+vXrHDx4kBs3bjzWZ/mjVMCLiIiIiMhjycjIACA5OZnZs2eTmJjIwIEDAfjoo48ICQlh5syZRry3tzevvPIK33zzDf/7v/9rtD/11FN89tln2NreLU9u3LhBZGQkbdq0Ydq0aUZc06ZNjd+//fZb/vOf/7B8+XJ8fHwAaNy4MdevX2f27Nl07tzZmEKelZVFnz59aNWqFQANGjRg+/btbNiwgYCAAKpVq4aLiwv29vZmywLg7tKARo0aAXdvBPj5+VGqVCmGDBnC1atXcXFx4b///S/fffcd48ePN24chISE0KlTJ7ON1fbv38+mTZuIjIzkpZdeMnI2mUzMmTOHt956i9KlS+f4t164cCE3b95k7dq1VKxY0eh77wn+zJkzqV27tnHuwc9xP2dnZ2rXrg1ArVq1zGK3bt1KfHw8s2bN4pVXXjE+S1JSEpGRkXTs2JGKFStaHKd27dqMGjXKOPb19aVGjRp07tyZo0eP4unpaTEvS15++WXjexUcHExCQgJz5syhU6dOFpcJjBgxwvg9MzOToKAgjh07xsqVKxkzZgwAXbp0ITw8nMTERMqXLw/AypUrKVeunDGj4NChQwQFBdGtWzfjei+88MIjf4b8oin0IiIiIiLyyDIzM/H09MTT05OQkBDWrVvHgAED6NSpE2fOnOHcuXO8+uqrZGRkGD+VKlXCzc3NbCoz3C0Q7xXvAPHx8dy+fZtOnTpZHP+HH36gRo0a1KtXz2yM4OBgEhMT+fXXX7ONcY+9vT01atTINp0/J2lpacyePZuXXnoJHx8fPD09GTx4MCaTibNnzwJw5MgRIHth16JFC7PjHTt24OjoSLNmzcxyDgoKIi0tjcOHD1vMY//+/fj7+xuFM4CTkxPNmjVj//79uX6OvNq/fz92dnbGDYZ7WrduTWJiImfOnHlof5PJxJIlS2jTpg3PP/88np6edO7cGSDXvpY8mMtLL71EQkLCQ3edP3ToEG+++SaBgYHUq1cPT09PfvnlF7Op761atcLR0ZE1a9YAd/9dr1mzhvbt22NnZweAl5cXsbGxzJo1i/j4eOOmVVHRE3gREREREXlk93aht7KyonTp0lSqVMkowpOTk4G7U59zmhb+9NNPmx2XK1fO7PjeeukKFSpYHP/q1aucPn3a4hPd+9dc29jYGFPi77G3tyc1NdXi9e+ZNm0aX3/9NWFhYfj6+lKyZEmOHTvGuHHjjP6JiYkAuLi4mPV98Dg5OZlbt27h7e2da84Pun79OjVr1szW7urqauwZkB+uX79OuXLlsj3ZdnV1Nc4/zKJFi/jwww/p2bMnQ4cOpWzZsiQmJtK3b988/b1z8uD3414uiYmJVK5cOVv8xYsXeeONN6hTpw5jxoyhQoUKODg4MG7cONLS0oy4EiVK8Nprr7FixQreeustNm/ezG+//UbHjh2NmHfeeQdbW1tiYmKYO3cupUqVon379gwZMoSnnnrqsT7PH6ECXkREREREHoulQrRMmTLA3WnMDRo0yHb+wWL6wR3ny5YtC9xdf169evUcxyhdujRubm5MnTo1x/M5FbuPY8OGDXTo0IH+/fsbbadOnTKLuVdQXr161ZiKfe/4wZydnZ1ZuHBhjmNVrVrVYh6lSpUiKSkpW3tSUpLFafePo1SpUly9epWsrCyzIv7e2LmNtWHDBoKDg82m0R84cOAP5ZScnGy2lv9eLvf/re+3Y8cOUlJSiIqKMou5fv06Tk5OZrFdunRh8eLF7NmzhxUrVtCwYUNq1KhhnLe3t6dPnz706dOHS5cusXHjRqZNm4aTkxODBg36Q5/rcWgKvYiIiIiI5KuaNWvyzDPPcPr0aby9vbP9uLm5PbS/r68vjo6OD930LDg4mIsXL1KmTJkcx3iwUMuNpSfyd+7cMTZou2ft2rVmx/duZGzevNms/cHj4OBgUlJSyMjIyDHnezc+cuLv78+BAwdISEgw2m7dusW2bdtyvEmSm3uf6f4n0vfGSUtL47vvvjNr/9e//kX58uWNGyr29vZkZmaSnp5uFnfnzh1j+vk99+9g/zg2bdqU7fj+dfgPuveGgPuXZRw8eNDsDQn31K5dm/r16yBeZPcAACAASURBVBMZGcnu3bsfumyjUqVKvPHGG9StW5f//ve/j/NR/jA9gRcRERERkXxlZWXFmDFjGDBgAHfu3OHFF1+kZMmSXLlyhb179/I///M/2dY138/Z2ZmBAwcyefJk4O4mZra2tsTHx+Pj40OzZs147bXXWLVqFT179iQ0NJTatWtz+/ZtTp06xY8//mjsIp5XNWvWZPny5axevZratWvj7OxMzZo1CQ4OZtWqVdSpU4dKlSqxdu3abIVgnTp1aNmyJVOmTCE9PR03NzdiYmK4cuUKgPEkOzAwkFdeeYU+ffoQGhqKl5cX6enpnDt3ji1btvDFF19gY2OTY369evVizZo1hIaG0q9fP+zt7fniiy+4ffs2YWFhj/RZAWrUqIGNjQ0rV67kqaeews7ODnd3d5o0aYKvry+jR48mKSmJatWq8a9//YsffviBDz74wJgtUatWLQAWLFhAo0aNcHBwwN3dneDgYL788ku++OILnn32WbZt28aePXseOb/7bdq0CUdHR/z8/Pj+++/57rvvmDhxosUN7AIDA7GxsWHEiBH06NGDixcvEhUVZbHg79KlC8OGDaNMmTLZvpd9+vShXr161KtXD2dnZw4cOMCJEyceWugXJBXwIiIiIiKS75o3b85XX33F3LlzGT58OOnp6VSoUAF/f3/q1KmTa/833niDsmXLsnDhQjZs2ECJEiV49tlnefHFFwGws7Nj/vz5fPrpp3z11VdcunSJkiVL4ubmRuvWrR85344dO3Ls2DGmTp3Kb7/9hr+/P4sXL2bs2LFkZmYydepUbGxsaNmyJWPHjuXtt9826//RRx8RERHBzJkzsbW15ZVXXqFHjx5MmTKFkiVLGnHTp09n4cKFrF69msjISBwdHalWrRpNmza1WJACVKxYkX/84x9MnTqV0aNHYzKZ8PHxYfHixcZr4B5F2bJlmTBhAp9//jk9evQgPT2dLVu2UKVKFebNm8e0adOIjo7mxo0buLm58fHHH9OuXTujf7NmzejRoweLFi1i5syZVKpUia1bt9KvXz9+//13Pv/8c9LT0wkODmbmzJm8/vrrj5zjPVOnTmXOnDl8+eWXlCxZkvfee8/YGC8ndevW5eOPPyY6OpqwsDBq1qxJREQECxYsIDMzM1t8ixYtsLa2pm3bttlmWzRo0IANGzawaNEi0tPTqVKlCiNHjjR7TWFhsjKZTKYiGVkeS2pqKkeOHMHLywsHBwejvWKTd4swK3OXY2cVdQoiIiIiIkVuwIABHD16lK1btxZ1KsXS6tWrGTlyJLGxsRafnueHjRs3MmjQINavX5+nm0sFyVK9d4+ewIuIiIiIiPxB3333HWfPnsXDw8N4mv3vf/+b0aNHF3VqYsHZs2f59ddfmTFjBsHBwUVevOeFCngREREREZE/yNHRkW+//ZbZs2eTlpZG1apVGTt2LN26dSvq1MSCOXPmsG7dOry9vZkwYUJRp5MnmkJfzGgKvYiIiIiIyJ9TblPo9Ro5ERERERERkWJABbyIiIiIiIhIMaACXkRERERERKQYUAEvIiIiIiIiUgyogBcREREREREpBlTAi4iIiIiIiBQDKuBFREREREREigEV8CIiIiIiIiLFgAp4ERERERERkWJABbyIiIiIiIhIMaACXkRERERERKQYUAEvIiIiIiIiUgyogBcREREREREpBlTAi4iIiIiIiBQDKuBFREREREREigEV8CIiIiIiIiLFgAp4ERERERERkWJABbyIiIiIiIhIMaACXkRERERERKQYUAEvIiIiIiIiUgyogBcREREREREpBgq1gP/888/p2LEj9evXp2HDhvTq1Yv4+Phc+924cYORI0fi7++Pr68v/fv358qVK2YxaWlpfPTRRwQGBuLj40OvXr04efKkWYzJZGLu3Lk0adIEb29vOnbsmKfxExIS6N+/P76+vvj7+zNy5EhSUlIKJEcRERERERGRnBRqAb9v3z46derEP/7xD5YuXUqlSpUIDQ3l119/fWi/YcOGERcXx9y5c1m0aBFJSUmEhYWRlZVlxHz88cesW7eOyZMns3z5chwdHQkNDeXmzZtGzIIFC5g3bx7vv/8+a9aswcPDg969e3P58mWLY2dmZvL222+TnJzMokWLmDt3LnFxcQwfPrxAchQRERERERHJSZE8gffw8KBWrVpMmjQJe3t7tm/fbrHPyZMn2bZtGxERETRo0ABvb2+mTJnC0aNH2b17NwApKSksW7aMYcOG0aRJEzw8PJgyZQrXrl3j22+/Be4+fZ8/fz69e/emdevW1K5dm4kTJ1K6dGmWLl1qcfydO3fy008/MXXqVLy9vWnQoAHjx49n8+bNnD59Ol9zFBEREREREbGkSNfAp6amkpaWRqlSpSzGxMfH4+DgQIMGDYy2atWqUb16deLi4gA4fPgw6enpBAUFGTHOzs74+fkZMefPnycxMdEsxsrKiqCgICPG0vg1atSgSpUqRltAQAD29vbG9Pv8ylFERERERETEEtuiHHzKlCmUKlWKFi1aWIxJSkrCxcUFa2vzew2urq4kJiYaMVZWVpQrV85izL1/urq6ZovZv3//Q8d/sI+1tTUuLi5m4+dHjo/iyJEjxu/169d/5P4F7eDBg0WdgoiIiIiIyJ9KkRXwc+bMYf369SxYsABnZ+eiSqPY8vLywsHBoajTsOhJvKkgIiIiIiLyJEtNTTV7WPugIplCHxkZyYIFC5g/fz5eXl4PjXV1deW3334z2wwOIDk5mfLlyxsxJpOJ5ORkizH3/pmUlJQt5umnn37o+A/2ycrK4urVq2bj50eOIiIiIiIiIpYUegE/depUlixZwoIFC/D29s413tfXlzt37phNyT537hxnzpzBz88PAG9vb+zs7Ni1a5cRc/PmTeLi4oyYKlWqUL58eXbu3GnEmEwmdu7cacRYGv/MmTNcuHDBaNu7dy9paWn4+vrma44iIiIiIiIilhTqFPqIiAhWr17NJ598QoUKFYy130899RQlS5bMsU+tWrVo1qwZ4eHhRERE4ODgwKRJk/D09CQwMBC4uxlc586dmTZtGi4uLjz99NNERUVRunRpWrduDdzdsC40NJSoqChq1qxJ3bp1WbRoEdeuXaNLly4Wcw4KCsLDw4Nhw4YxatQo7ty5w/jx42nRogVubm75mqOIiIiIiIiIJVYmk8lUWIO5u7vn2N6+fXsmT54MwOrVqxk5ciRbtmwxdn6/ceMGkyZNYvPmzWRmZtK4cWPCw8OpUKGCcY20tDSmTZtGTEwMt27dwtfXl/DwcGrVqmXEmEwmPv30U5YuXcrVq1fx8PBg1KhRZk/Ao6KiiI6O5sSJE0ZbQkICEydOZNeuXdjY2NCyZUtGjx5ttnY/v3LMzb01EQ+uga/Y5N08X6OgXY6dVdQpiIiIiIiIFDuW6r17CrWAz4vIyEg2bdrE2rVrsbUt/D32hg8fTlJSEl9++WWhj50XKuBFRERERET+nHIr4Iv0NXI5iY2NJTw8vEiKd5PJxJ49e1i4cGGhjy0iIiIiIiLyME9cAb9q1aoiG9vKyorY2NgiG19ERERERETEkiJ5jZyIiIiIiIiIPBoV8CIiIiIiIiLFgAp4ERERERERkWJABbyIiIiIiIhIMaACXkRERERERKQYUAEvIiIiIiIiUgyogBcREREREREpBlTAi4iIiIiIiBQDKuBFREREREREioE8FfD/+c9/iI2NNY5///13RowYQYcOHZg5cyZZWVkFlqCIiIiIiIiI5LGAnzJlCocPHzaOJ0+ezHfffcczzzzDokWL+PTTTwssQRERERERERHJYwF/8uRJvLy8AEhLS2Pjxo2MHj2aqKgohgwZQkxMTIEmKSIiIiIiIvJXl6cC/vbt2zg5OQEQHx9PamoqzZo1A8DDw4NLly4VXIYiIiIiIiIikrcCvlKlSsTHxwPw3Xff4eHhQdmyZQG4du0ajo6OBZehiIiIiIiIiGCbl6COHTsyc+ZMNm7cyE8//cTYsWONc/Hx8dSuXbvAEhQRERERERGRPBbwb775Jq6urhw+fJju3bvTvn1741xKSgp/+9vfCixBEREREREREcljAQ/Qrl072rVrl6194sSJ+ZqQiIiIiIiIiGSXpzXwrVq1YuHChVy7dq2g8xERERERERGRHOSpgPfy8mLWrFmEhITw3nvvsWfPnoLOS0RERERERETuk6cCfsqUKfzwww+8//77/PLLL/Tq1YsXX3yRefPmkZSUVNA5ioiIiIiIiPzl5amAByhZsiTdunVj7dq1LF++nICAAD799FOaNm3KgAED2L59e0HmKSIiIiIiIvKXlucC/n5169bl+eefp3r16mRkZBAXF8fbb79NmzZtOH78eH7nKCIiIiIiIvKX90gF/LFjxxg/fjzBwcFERERQp04dvv76a3bu3MmKFSsoUaIEI0eOLKhcRURERERERP6y8vQauaVLl7JixQqOHz9O9erV6d+/P+3bt6d06dJGjLe3N0OGDCE0NLTAkhURERERERH5q8pTAT9p0iRatmzJ8OHDCQgIsBjn5uZG37598y05EREREREREbkrTwX89u3bcXFxyTWuQoUK9O/f/w8nJSIiIiIiIiLm8rQGPi/Fu4iIiIiIiIgUnDw9gQeIjY1l2bJlnDlzhtTU1Gznt2zZkq+JiYiIiIiIiMj/ydMT+K1btxIWFkZGRganTp2iTp06VK1alYSEBKytrWncuHFB5ykiIiIiIiLyl5anAn7u3Ln07NmTuXPnAjBgwAAWLlzIxo0bsbKyon79+gWapIiIiIiIiMhfXZ4K+FOnThESEoK1tTVWVlbcvn0bgCpVqjBgwAA+++yzAk1SRERERERE5K8uTwW8nZ0dVlZWWFlZ4erqyvnz541zpUuX5uLFiwWWoIiIiIiIiIjksYCvU6cOv/76KwB+fn58+eWXHDp0iOPHjzN79mzc3NwKNEkRERERERGRv7o87ULfqVMnLly4AMC7775LaGgonTt3BsDR0ZHo6OiCy1BERERERERE8lbAt2nTxvjdzc2N9evX8+OPP3L79m18fX31nngRERERERGRApbn98Dfz8nJSa+OExERERERESlEFgv4uLi4R7qQn5/fH05GRERERERERHJmsYD/3//9X6ysrHK9gMlkwsrKiuPHj+drYiIiIiIiIiLyfywW8IsWLSrMPERERERERETkISwW8A0bNizMPERERERERETkIR66id3JkydZunQp58+f5+mnn+aVV14hMDCwsHITERERERERkf/P2tKJ+Ph42rVrx5IlSzh06BCrVq0iNDSU5cuX/6EB9+/fT1hYGMHBwbi7u/Ptt9/m2qd58+a4u7ub/QwdOtQsJi0tjY8++ojAwEB8fHzo1asXJ0+eNIsxmUzMnTuXJk2a4O3tTceOHYmPj891/ISEBPr374+vry/+/v6MHDmSlJQUs5gbN24wcuRI/P398fX1pX///ly5cuWRcxQRERERERHJicUCPioqiho1arBlyxZ27drFnj17aNasGTNnzvxDA966dQt3d3fGjRv3SP3CwsLYsWOH8fNg/48//ph169YxefJkli9fjqOjI6Ghody8edOIWbBgAfPmzeP9999nzZo1eHh40Lt3by5fvmxx3MzMTN5++22Sk5NZtGgRc+fOJS4ujuHDh5vFDRs2jLi4OObOncuiRYtISkoiLCyMrKysR8pRREREREREJCcWC/gTJ07Qr18/nnnmGQBKlizJyJEjuXbtGgkJCY89YJMmTRg8eDAtW7Z8pH5OTk6UL1/e+ClZsqRxLiUlhWXLljFs2DCaNGmCh4cHU6ZM4dq1a8YTfpPJxPz58+nduzetW7emdu3aTJw4kdKlS7N06VKL4+7cuZOffvqJqVOn4u3tTYMGDRg/fjybN2/m9OnTwN2lBtu2bSMiIoIGDRrg7e3NlClTOHr0KLt3785zjiIiIiIiIiKWWCzgk5OTqVy5sllb5cqVMZlMJCcnF3hiD/rqq68ICAigTZs2TJs2zeyp9eHDh0lPTycoKMhoc3Z2xs/Pz3if/fnz50lMTDSLsbKyIigo6KHvvI+Pj6dGjRpUqVLFaAsICMDe3t6Yfh8fH4+DgwMNGjQwYqpVq0b16tWNa+clRxERERERERFLHrqJ3ZOiW7duPPvss7i4uHD8+HFmzJjB8ePH+fLLLwFISkrCysqKcuXKmfVzdXUlMTERwPinq6trtpj9+/dbHDspKSlbH2tra1xcXIxrJiUl4eLigrW1+f2Q+8fPS46P4siRI8bv9evXf+T+Be3gwYNFnYKIiIiIiMifykML+EGDBmFvb5+tvV+/ftnaN23alL+Z3Sc0NNT43d3dnSpVqtC1a1eOHTtGvXr1CmzcJ5mXlxcODg5FnYZFT+JNBRERERERkSdZamqq2cPaB1ks4Nu3b59ju5+f3x/P6g967rnnsLKy4syZM9SrVw9XV1djav/TTz9txN1/XL58eeDuk/CqVavmGJMTV1dX9u3bZ9aWlZXF1atXjWu6urry22+/kZWVZfYUPjk52XjtXl5yFBEREREREbHEYgH/0UcfFWYej+T48eOYTCajgPb29sbOzo5du3bRrl07AG7evElcXByjRo0CoEqVKpQvX56dO3fi6+sL3N3YbufOnbRp08biWL6+vsyZM4cLFy4YG/rt3buXtLQ04zq+vr7cuXOHgwcP4u/vD8C5c+c4c+aMccMjLzmKiIiIiIiIWFLoa+Bv3rzJ2bNnjeMLFy5w/PhxHB0dqV69erb4+Ph4/vOf/xAQEECpUqX46aefmDx5Mt7e3sY0bWdnZzp37sy0adNwcXHh6aefJioqitKlS9O6dWvg7oZ1oaGhREVFUbNmTerWrcuiRYu4du0aXbp0sZhvUFAQHh4eDBs2jFGjRnHnzh3Gjx9PixYtcHNzA6BWrVo0a9aM8PBwIiIicHBwYNKkSXh6ehpP4POSo4iIiIiIiIglViaTyVSYA+7du5cePXpka2/YsCGLFy82zi9atIiAgACOHj3KxIkTOXXqFHfu3KFy5co0b96cPn36UKpUKaN/Wloa06ZNIyYmhlu3buHr60t4eDi1atUyYkwmE59++ilLly7l6tWreHh4MGrUKLNlAVFRUURHR3PixAmjLSEhgYkTJ7Jr1y5sbGxo2bIlo0ePxtnZ2Yi5ceMGkyZNYvPmzWRmZtK4cWPCw8OpUKHCI+WYm3trIh5cA1+xybt5vkZBuxw7q6hTEBERERERKXYs1Xv3FHoBn5tVq1Yxffp0Nm7caFagF5bhw4eTlJRk7HD/pFEBLyIiIiIi8ueUWwH/xL1GLjY2lqFDhxZJ8W4ymdizZw8LFy4s9LFFREREREREHuaJK+AjIyOLbGwrKytiY2OLbHwRERERERERS6xzD4Ho6GgSEhJyPHflyhWio6PzNSkRERERERERMZenAn727NkPLeBnz56dr0nJX090dDQNGjTAwcGBXr16WYxLTU1l8ODBVK5cmbJly9K3b1/S09ON8++++y5ly5YlMDCQ8+fPG+1ff/01AwcOLMiPICIiIiIiUqDyVMA/bJ+73377zWw3dpHHUblyZcaMGUNoaOhD4yZPnsyBAwc4cuQIP//8M3FxcXzwwQcA7Nu3j4MHD3L58mWCg4OZPHkyAL///jtTp0414vKDbjiIiIiIiEhhs7gGfuvWrWzbts04/uyzz3BxcTGLSU1NZd++fXh6ehZchvKX0KFDBwAOHDhgVsg+aN26dQwfPtz4Lg4cOJDhw4czYcIETp8+TXBwMA4ODrRo0cLYT2H06NEMGzYsXzdGvHfDYdOmTdy+fdti3P03HDIzM2nTpg0ffPABEyZMMLvhMGbMGCZPnkx0dLRxw0H7MYiIiIiIyP0sFvDnzp1j586dwN3N3X788Ufs7e3NYuzt7fH09GTIkCEFm6XIfe6fEWIymTh//jy///47np6eREVFcfv2bbZs2YKnpycHDhzgxIkT+b5PQ3G74SAiIiIiIsWfxQK+Z8+e9OzZE4DmzZszZ84cPDw8Ci0xkZy8/PLLfPLJJzRr1ozMzEyj6L116xZeXl787W9/o1GjRnh4eBAdHc1rr73Gl19+SWRkJCtXrqRq1arMnj2bMmXKFFrOT8INBxERERERKf7ytAZ+69atKt7liTB69Gh8fX15/vnnady4Me3atcPOzo4KFSoAMHjwYH788UeWLVvG8uXLCQkJISsri3nz5rFlyxaeffZZY218Ybh3wyExMZHLly9bvOFw9uxZ3n//fQYOHEhkZCSRkZGEhITQtWtXrl27Vmj5ioiIiIjIkyvPBfw333xjHF+6dInu3bsTEBDAe++9x61btwosQZH7lShRgujoaC5cuMCpU6coV64c9evXx9ra/KuckJDAvHnzCA8P58iRI/j4+GBnZ4e/vz+HDh0qtHyL2w0HERERERF5cuX5NXJJSUnG8aRJkzh79izt27dn9+7dREVFFViC8teQkZHBnTt3yMzMJDMzkzt37pCRkZEt7sKFC1y8eBGTycSePXuIiIhgwoQJ2eKGDBnC+PHjcXR0xM3Njf3795OSksL3339PzZo1C+MjAcXvhoOIiIiIiDy58lTAnz17Fnd3dwBu3rxJbGwsI0eOZMSIEQwZMoR///vfBZqk/Pl98MEHlChRgsmTJ7NkyRJKlCjBBx98wNmzZ3F2dubs2bMAnDx5ksaNG+Pk5ETPnj2ZPHkyL774otm1tm7dyrVr12jfvj0ADRs2pHXr1lStWpVt27YxYsSIP5zvn/WGg4iIiIiIPLksbmJ3v/T0dGMH+ri4OEwmE8HBwQDUqFGDxMTEgstQ/hLGjx/P+PHjczyXkpJi/B4SEsKZM2ceeq3mzZvTvHlzs7ZZs2Yxa9asP5qm4d6r4O5ZsmQJ48aNIzQ0lHr16nHs2DGqVavGyZMn6dGjB1euXKFq1aqPfMPB3d2dlStX5lveIiIiIiJSfOWpgK9WrRrff/89AQEBrFu3jueeew5nZ2cAEhMT9bor+cspbjccRERERESk+MvTFPo33niDBQsWGAV8t27djHN79+41pteL5NWdtPSiTsHwJOUiIiIiIiJiSZ6ewLdv354qVapw+PBhvLy8aNiwoXGuXLlyNGvWrMASlD+np+ztqNx6fFGnAcDFb8fnGnMnLYOn7PP0n0uheNLyERERERGRgpfnCsDf3x9/f/9s7QMGDMjXhESeRE/Z21K904yiTsPw6/IhRZ2CiIiIiIgUMosFfEJCAuXKlcPW1paEhIRcL3TvvdYiIiIiIiIikv8sFvBNmzZl2bJl+Pj40KRJE6ysrB56oePHj+d7ciIiIiIiIiJyl8UC/sMPP6Rq1arG77kV8CIiIiIiIiJScCwW8PfeSQ3QoUOHQklGRERERERERHKWp9fI9ejRg5MnT+Z47vTp0/To0SNfkxIRERERERERc3kq4Pft28fNmzdzPJeSksKBAwfyNSkRERERERERMZenAv5hfvnlF8qWLZsfuYiIiIiIiIiIBRbXwC9evJglS5YAYGVlxaBBg7C3tzeLSU1N5cqVK7Rt27ZgsxQRERERERH5i7NYwFeqVAk/Pz8Afv31V+rWrYuLi4tZjJ2dHbVq1aJjx44Fm6WIiIiIiIjIX5zFAv6FF17ghRdeMI779u1rvFZORERERERERApXrmvg09LS2LJlCz///HNh5CMiIiIiIiIiOci1gLe3t8fW1jbb+ncRERERERERKTx52oW+VatWxMTEFHQuIiIiIiIiImJBngp4d3d39u7dS48ePViwYAExMTGsW7fO7EdEnmzR0dE0aNAABwcHevXqZTFu4cKF2NjY4OzsbPx8//33AGRkZNClSxfKlCnDyy+/zPXr141+H374ITNmzCjgTyEiIiIi8tdlcRO7+40dOxaAK1eusG/fvmznraysaNOmTf5mJiL5qnLlyowZM4ZNmzZx+/bth8YGBgayY8eObO2rV6/GysqKpKQkunbtyrx58xg6dCinT58mJiYmxz4iIiIiIpI/8lTAb9mypaDzEJEC1qFDBwAOHDjA+fPnH+sap0+fpmnTptja2tKsWTMOHToEwMCBA5k+fTq2tnn6nxQREREREXkMeZpC/8wzzzz0x2QyFXSeIlKI4uPjcXV1pW7dukRERJCRkQGAl5cXW7duJTU1lW3btuHp6cmaNWtwdXUlKCioiLMWEREREflze+zHZdevX2fDhg3ExMQQFxfH8ePH8zMvESkiISEhHDlyhOrVq3P06FE6d+6Mra0tI0eOpFWrVvzwww/4+/vTqFEjunTpQosWLfjuu+8YPXo0P/zwA15eXsyaNUtvrhARERERyWd5egJ/T0ZGBps3b2bgwIEEBwczfvx4kpKSGDhwYEHlJyKFrGbNmri5uWFtbY23tzfh4eGsXLkSuLvfxeTJkzl06BDz5s1j8uTJhIWFsX//fg4cOEBsbCxpaWnMnz+/iD+FiIiIiMifT56ewP8/9u47KoqzbQP4tbCAIopUKyoaKyBRYhcVe4mJMVZMlGBDIypGYtRIsWJLFNsnKlYQG2KJSl5LeAVsKAK2JDaKxAICCiqwsN8fHuZ1s4BrBGYnXr9zPHFnHmYvCO7u/bS5cuUKDh8+jOPHj+PZs2eoXLky8vPzsWDBAgwZMqS8MxKRiGQyWbHLZBISEhAdHY2lS5di+fLlcHBwgEwmQ5s2bRAXFydCUiIiIiKif7cSC/jExEQcPnwYhw8fRkpKCnR1ddGlSxd89tlncHBwgKOjI+rXr1+RWYnoPSgUCigUChQUFKCgoACvXr2CXC5X23ju+PHjaN26NWrUqIFbt25hwYIFGDp0qEobpVKJKVOmwN/fHzo6OrC2tsbatWuRl5eHiIgItG7duiK/NSIiIiKiD0KJBXyfPn0gk8nQsmVLuLq6ol+/fqhevToA4PnzbBtbMAAAIABJREFU5xUWkIjKxsKFC+Hr6ys83rVrF7y9veHq6ooWLVrgxo0bqFevHk6dOgUXFxdkZ2ejRo0a+OqrrzBnzhyVa23duhW2trZwcHAA8HqH+9DQUFhYWKB9+/aYMGFChX5vREREREQfghIL+KpVq+L58+dITEzE77//jmbNmqFVq1YVmY2IypCPjw98fHyKPZednS38fcWKFVixYkWp13J1dYWrq6vwWC6XIyQkpExyEhERERFR8UrcxC4qKgr+/v5wcHDAgQMH4OzsjF69esHf3x/37t2ryIxE9IFau3YtPvnkExgYGMDFxUWjr+nRowdkMplw6zuFQoERI0agevXq6Nu3L549eya0Xbx4MX766afyiE5EREREVOZKLOD19fXRu3dvrFu3DpGRkZg3bx7MzMywfv16DB8+HDKZDBEREcjIyKjIvESkodx8hdgRVPyTPLVr18aPP/6oMtpfmqCgIOTn56scCw0NhUwmQ1paGoyNjREQEAAAuHfvHg4fPsy7aBARERGRZGi0C72xsTGcnZ3h7OyM5ORkHDp0CEeOHMHmzZuxfft2dOvWDWvWrCnvrET0Dgz05GjmukHsGIJbgZPe+WsGDx4MAIiJiUFKSkqpbbOysuDr64sdO3agQ4cOwvF79+6hW7dukMvlcHJyQnx8PABg6tSpWLlypdomfkRERERE2uqd7gMPAFZWVpgyZQrCw8OxZ88eDBkyBJcuXdL46y9dugQ3Nzd07twZTZs2xS+//PLWr8nLy8OSJUvQoUMHtGzZEi4uLrhz545KG6VSiQ0bNqBr166ws7PD0KFDERsbq3atffv2oVevXrC1tcXAgQNx+vTptz7/8+fPMXv2bLRp0watWrXClClT8Pjx43LLSETvbs6cOZg0aRJq1qypctzW1hanT59Gbm4uzpw5AxsbGxw8eBDm5ubo1KmTSGmJiIiIiN7dOxfwb7K3t4e3tzciIyM1/poXL16gadOm8Pb21vhrli5diiNHjsDPzw979+6FoaEhXF1dkZOTI7TZunUrAgIC8P333+PgwYNo1qwZxo4di4cPHwptwsPD4e3tDRcXFxw6dAg9e/aEu7s7EhISSn1+T09PXLlyBRs2bMCOHTuQlpYGNzc3FBYWlnlGInp3MTExiIqKgru7u9q5/v37w9raGm3atIGxsTFGjBgBX19fLFu2DHPnzkWXLl0wefJk5OXlvXcOTdfsh4SEoGnTpjA2NoalpSXGjBmjsjZ/+vTpMDExQYcOHVRmHgQHB3PKPxEREdEH7L0K+CLvMgW1a9eu8PDwQK9evTRqn52djT179sDT0xNdu3ZFs2bNsGzZMmRmZgqj90qlEoGBgRg7diwGDBiAjz76CPPnz4exsTF2794tXGvLli34/PPPMWrUKDRq1AjTpk2Dvb09tm3bVuLz37lzB2fOnMGCBQvwySefwM7ODsuWLcP169dx7ty5Ms9IRO+msLAQkydPxurVq4t9LZLJZPDz80N8fDwCAgLg5+cHNzc3XLp0CTExMYiIiEBeXh4CAwPfO4uma/Y7deqEqKgoZGVl4e7du1AoFPjxxx8BABcvXsTly5fx8OFDdO7cGX5+fgBeLxFYvnw5Fi5c+N45iYiIiEiayqSAL08JCQnIz89XmepqZGSE1q1b48qVKwCAlJQUPHnyRKWNTCZDp06dhDZ5eXm4fv262pRZR0fHUqexx8bGwsDAAJ988olwrF69eqhfv75w7bLKSETv7tmzZ4iJicHw4cNRs2ZNtGnTBgBQt25dnD17VqVtQkICoqOjMWHCBCQkJMDBwQEymQxt2rQR1sa/j8GDB2PQoEEwMzMrtZ2VlRXMzc2Fx7q6urh9+zaA12v2O3fuDAMDA/To0QN3794FAMydOxeenp6oVq3ae+d8E2cNEBEREUmH1u/elJaWBplMpvaB2NzcHE+ePAEA4b9vfiAuely0Pj8jIwMKhaLY6/x9Pfvfn9/U1BQ6Oqp9HW8+f1llfBfXrl0T/u7g4PDOX1/eLl++XOp5bcsstbzAvzPz3ykUChQUFODBgwd4/PgxoqOjoaurqzLSrlQqcfz4ceHxo0ePMGbMGGzduhV6enrCcyqVSkycOBEeHh6IjY2FUqnEiRMn8NlnnwlLWt41X0n++usvpKenl3q9q1evYtq0acjJyUGlSpWwYsUKof3x48fx6aefIjg4GObm5ti5cycuXbqEb775pswyFnn58iVGjhyJBg0alJq5atWqWL9+PapXr44XL15g8eLFmDBhAjw9PXHt2jVERETg2LFj2LBhA2bMmIFZs2YhOzsbvr6+CAgIKPPcRERERB8irS/gqXi2trYwMDAQO0aJtLF4LI3U8gIfRmYfHx/4+voKj48fPw5vb2+4urqiRYsWuHHjBurVq6fyNffv3wcA9OrVS6XQDwwMRPv27fHVV18BeL2Hx9WrV9GnTx+0b98e8+fPL7PR7Vq1aqGgoKDU79fBwQFjx47FgwcPsGnTJvTq1QtNmjSBg4MDUlNTMXnyZDRr1gxr167F559/jm3btuE///kP9u/fDysrK6xbtw7Vq1d/76xFGX/88UekpKRo9P8oOzsbFhYWSEtLg4ODA27fvo2+ffuiQ4cOyMrKgr+/PxwcHDBlyhR4e3uja9eu752TiIiI6EOQm5urMlj7d1o/hd7c3BxKpRLp6ekqx9PT02FhYQEAwn/T0tLU2lhaWgIATExMIJfLi71OUZuSnj8jI0Nlw7q/P39ZZSQiVT4+PlAqlSp/fHx8UK9ePWRnZ6sV7wDQoEEDKJVKtfXwrq6uWLdunfBYLpcjJCQEWVlZCA8PL/Op6ZqqU6cO+vbtixEjRgjHPDw8EBcXhz179mDv3r3o0qULCgsLERAQgFOnTqF58+bC2viKFBkZCWNjY1StWhUHDhzA9OnTAQA2NjY4e/YsXr58iVOnTsHGxgYxMTH4/fff4ezsXOE5iYiIiP6tSizgr1y58k5/youdnR309PQQHR0tHMvJycGVK1fQunVrAK/XulpYWCAqKkpoo1QqERUVJbTR19eHjY2NShsAOHv2LFq1alXi87dq1QqvXr1Smf6ZnJyM+/fvC9cuq4xE9GFSKBRqt50EXi8HCAgIgJeXF65du4aWLVtCT0+vzNbsv6vOnTsjKysLKSkp8PT0RIMGDQC8nhH05Zdfon379khKSsL333+PqVOnwt/fH/7+/ujSpQtGjRqFzMzMCs9MRERE9G9S4hR6Z2dnyGSyt15AqVRCJpPh5s2bGj1hTk4OkpKShMcPHjzAzZs3YWhoiPr166u1NzIywvDhw7FixQqYmprC0tISa9asgbGxMQYMGADg9WZwrq6uWLNmDRo2bIgmTZpgx44dyMzMVBnVcnV1xXfffQc7Ozu0a9cOx44dw9WrVxESElJi3kaNGsHJyQleXl5YsGABDAwMsGjRItjY2KBDhw5lnpHoQ5abXwADPV2xYwD4Z1kUCoWwbr+goACvXr2CXC5Xmw0QFBQER0dH1KtXD4mJiZg7dy569Oihdr0ZM2bAx8cHhoaGsLa2xqVLl5CdnY3ffvsNDRs2fK/v7328OWugqAPXw8MDHh4eAIB169apzBqIjY3F0qVL4efnJ8rMASIiIqJ/ixIL+B07dpTLE167dg2jR48WHq9cuRIrV65E27ZtsXPnTly4cAGjR4/Gjh070K5dOwDArFmzoKuri++//x4vXrxAq1atEBgYiCpVqgjX+eabb5Cbmws/Pz88ffoUzZo1w+bNm1GrVi2hTd++ffHs2TMEBARg8eLFaNCgAdasWQM7OzuhTWhoKGbPno1Tp06hbt26AIDly5dj0aJFcHNzQ0FBATp27AgvLy+Vje3KKiPRh8xATxet3beLHQMAcGXNmHf+moULF6qs2d+1a1exa/Zv3LiBWbNmISMjAyYmJujfvz+WLFmicq3Tp08jMzMTX3zxBQCgbdu2GDBgAKysrNC0aVPs37///b7B9/S2WQPnzp3DkSNHVGYNrF69WoSkRERERP8eMqVSqRQ7xJsOHDiAlStX4sSJE6KsSfX390d4eDgOHTr0Tve3ryhFmxr8fRO7ml2ni5hK1cOIVRq1qz3Ap3yDaCj1Fx+N2tUf9lP5BnkHiXtnaNSumeuGck6iuVuBkzRqJ+UCXoqKZg34+voiJSUFmzZt0mjWwOjRo2FmZobQ0FCVdqNGjcKQIUPwxRdf4OLFixg1ahRiY2OxaNEiPH/+HGvXrq3Ib4+IiIhIUkqq94po3SZ2ERERmDlzpmgbSkVERMDLy0sri3ciorK2cOFCVK5cGX5+fti1axcqV66MhQsXIikpCUZGRsKSpxs3bqBjx46oUqUKOnXqhKZNm2LTpk0q1ypt1sCZM2fwww8/VPj3R0RERPRvovEIfEREBPbs2YP79+8jNzdX7fypU6fKPByp4wh82eMIfMXgCDwRERERUenKZAT+9OnTcHNzg0KhwN27d9G4cWNYWVnh0aNH0NHRQceOHcs8OBGRtsvNLxA7ggpty0NEREREZUujeeIbNmzAmDFj4OnpCRsbG7i7u8PGxgYpKSlwdXWFg4NDeeckItI6Bnq6cJy9R+wYgrNLhr+1TZ6iAPpy7djpH9C+PERERETaTKMC/u7du/Dw8ICOjg5kMhlevnwJ4PW9zd3d3bF+/XoMGjSoXIMSEdH705frot+iMLFjCI7P5XsHERERkaY0mkKvp6cHmUwGmUwGc3NzpKSkCOeMjY2RmppabgGJiIiIiIiISMMCvnHjxkhMTAQAtG7dGlu2bEF8fDxu3ryJdevWwdraulxDEhEREREREX3oNJpCP2zYMGHUffr06XB1dcXw4a/XWhoaGvK+vkRERERERETlTKMCfuDAgcLfra2tcfToUcTFxeHly5do1aoVTE1Nyy0gEREREREREWk4hT4sLAwZGRnC4ypVqqBjx47o0aMHdHR0EBamPRsiEREREREREf0baVTAz549G8nJycWeS0lJwezZs8s0FBERERERERGp0qiAVyqVJZ7Lzs5G5cqVyywQEREREREREakrcQ18TEwMYmJihMehoaGIjo5WaZObm4vTp0+jcePG5ZeQiIiIiIiIiEou4M+fPy/sLi+TyRASEqLWRk9PD40aNeIUeiIiIiIiIqJyVmIBP2XKFEyZMgUA0KxZM+zduxctW7assGBERERERERE9D8a3Ubu1q1b5Z2DiIiIiIiIiEqh0SZ2APDq1Svs2bMHM2fOxIQJE+Dp6Ym9e/ciNze3PPMRERGpWLt2LT755BMYGBjAxcWl1LY///wzatasiWrVqsHV1VV4z1IoFBgxYgSqV6+Ovn374tmzZ8LXLF68GD/99FN5fgtERERE/4hGBfyTJ0/wxRdfwNvbG1euXEFWVhYuX74MLy8vDBo0CE+ePCnvnERERACA2rVr48cff4Srq2up7cLDw+Hn54dTp04hMTERd+/ehbe3N4DXG7PKZDKkpaXB2NgYAQEBAIB79+7h8OHDmDp1arl/H0RERETvSqMCftmyZXj+/DlCQkJw+vRp7NmzB6dPn0ZISAiys7OxfPny8s5JREQEABg8eDAGDRoEMzOzUttt374dY8eOhY2NDUxMTDBv3jxs27YNwOtCvVu3bpDL5XBycsLdu3cBAFOnTsXKlSshl2u0wkwjnDFAREREZUWjAv6///0vvvvuO3z88ccqxz/++GN4eHggIiKiXMIRERH9U9evX4e9vb3w2N7eHo8ePUJ6ejpsbW1x+vRp5Obm4syZM7CxscHBgwdhbm6OTp06lWkOzhggIiKisqJRAf/y5UuYmpoWe87MzAyvXr0q01BERETvKzs7G8bGxsLjor8/f/4c/fv3h7W1Ndq0aQNjY2OMGDECvr6+WLZsGebOnYsuXbpg8uTJyMvLe+8cUpsxQERERNpLowK+SZMm2Lt3b7Hn9u7di8aNG5dpKCIiovdlZGSkMtW86O9Vq1aFTCaDn58f4uPjERAQAD8/P7i5ueHSpUuIiYlBREQE8vLyEBgYWGF5tWXGABEREWmvEgv42bNnIzk5GQDw7bff4vTp0/jss8+wceNGHDhwABs3bsSgQYNw5swZ4X7xRERE2sLGxgZxcXHC47i4ONSoUUNtJDwhIQHR0dGYMGECEhIS4ODgAJlMhjZt2iA+Pr7C8mrLjAEiIiLSXiUW8AcPHkRGRgYAwMnJCRs2bIBcLseqVaswd+5crFq1Cjo6OtiwYQO6detWUXmJiOgDp1Ao8OrVKxQUFKCgoACvXr2CQqFQazd69Ghs2bIFN27cQGZmJhYuXKi2iZxSqcSUKVPg7+8PHR0dWFtbIzIyEnl5eYiIiEDDhg0r6LuS3owBIiIiqnga3we+W7duCA0NxeXLlxEREYHLly8jNDQUXbt2Lc98REREKhYuXIjKlSvDz88Pu3btQuXKlbFw4UIkJSXByMgISUlJAIC+ffvi+++/h5OTE+rVq4f69evD19dX5Vpbt26Fra0tHBwcALxer167dm1YWFggPT0dEyZMqLDvS2ozBoiIiKjivfOuN4aGhjA0NCyPLERERG/l4+MDHx+fYs9lZ2erPJ4xYwZmzJhR4rVcXV1VdoeXy+UICQkpk5xFFAoFFAqFyowBuVyutvHc6NGj4eLiglGjRqF27doazxhYu3atMGOgdevWZZqdiIiItEupBfz69ethYmLy1ovIZDIsXry4zEIRERH9WyxcuFBl5H/Xrl3w9vaGq6srWrRogRs3bqBevXoqMwZevnyJL7/8UqMZA6GhobCwsED79u0rdMYAERERVbxSC/hbt25BX1//rReRyWRlFoiIiOhNeYoC6Mt1xY4B4J9lkdqMASIiItJepRbw/v7+aNmyZUVlISIiUqMv18XQ1cfFjgEA2Detn9gRiIiI6AOm8SZ2RERERERERCQeFvBERERlKF9RIHYEFdqWh4iIiP65d96FnoiIiEqmJ9fF2E1nxI4h2DLeSewIREREVEZKHIG/desW178TERF9gJ4+fYovvvgCVapUQf369REcHFxsu9zcXLi5uaFGjRowNTXFwIED8eDBA+H89OnTYWJigg4dOiAlJUU4HhwcjKlTp5b790FERPRvwyn0REREpOLbb7+Fvr4+Hj16hKCgIEyaNAnXr19Xa7d69WqcO3cO8fHxSE1NhYmJCdzd3QEAFy9exOXLl/Hw4UN07twZfn5+AICsrCwsX74cCxcuLNPMUut0kFpeIiLSDizgiYiISJCTk4MDBw5gwYIFMDIyQufOnfHZZ59h586dam3v3buHPn36oEaNGqhUqRKGDx8uFPr37t1D586dYWBggB49euDu3bsAgLlz58LT0xPVqlUr09xS63SQWl5A806Hfv36wcjISPijr68POzs7AIBCocCIESNQvXp19O3bF8+ePRO+bvHixfjpp5/KNDMR0b8NC3giIiIS/PHHH5DL5WjSpIlwzN7evtjicuzYsYiKikJqaipevHiBoKAg9Ov3+lZ7NjY2OHv2LF6+fIlTp07BxsYGMTEx+P333+Hs7FymmaXW6SC1vEU07XQ4fvw4srOzhT8dO3bE0KFDAQChoaGQyWRIS0uDsbExAgIChO/l8OHDZT5rgJ0ORPRvwwKeiIiIBNnZ2WqFn7GxMZ4/f67WtnHjxrCyskKdOnVQrVo13Lx5E15eXgAAW1tbfPnll2jfvj2SkpLw/fffY+rUqfD394e/vz+6dOmCUaNGITMz870zS63TQWp5gXfrdHjT/fv3cfbsWYwePRrA60K9W7dukMvlcHJyEjodpk6dipUrV0IuL9v9laXW6cAOByJ6GxbwREREJDAyMlL5wA8Az549Q9WqVdXafvvtt8jNzUV6ejpycnIwePBgobgEAA8PD8TFxWHPnj3Yu3cvunTpgsLCQgQEBODUqVNo3ry5MO37fUit00FqeYF363R4044dO+Do6IgGDRoImU+fPo3c3FycOXMGNjY2OHjwIMzNzdGpU6f3zvkmKXY6SK3DAZBmp4PUMkstL5UvFvBEREQkaNKkCRQKBf7880/hWFxcHGxsbNTaXr16FS4uLjA1NYWBgQHc3d1x8eJFpKWlqbR79OgRAgIC4OXlhWvXrqFly5bQ09NDmzZtEB8f/96ZpdbpILW8wLt1Orxpx44dcHFxER73798f1tbWaNOmDYyNjTFixAj4+vpi2bJlmDt3Lrp06YLJkycjLy/vvTNLrdNBih0OgDQ7HaSWWWp5AXY6lCcW8ERERCSoUqUKBg8eDC8vL+Tk5CAqKgqHDh3C119/rda2TZs22LFjB7KyspCfn4/169ejdu3aMDc3V2k3Y8YM+Pj4wNDQENbW1rh06RKys7Px22+/oWHDhu+dWWqdDlLLC7xbp0ORyMhIPHz4EEOGDBGOyWQy+Pn5IT4+HgEBAfDz84ObmxsuXbqEmJgYREREIC8vD4GBge+dWWqdDlLrcACk2ekgtcxSy1tEip0OUsECnoiIiFSsX78eL1++hKWlJUaOHIkNGzYI662NjIyEditWrEClSpXQuHFjWFhY4NixYzh48KDKtU6fPo3MzEx88cUXAIC2bdtiwIABsLKywpkzZ/DDDz+8d16pdTpILS/wbp0ORbZv347Bgwer/M68KSEhAdHR0ZgwYQISEhLg4OAAmUz2wXY6SK3DAZBmp4PUMkstLyDdTgepzBpgAU9EREQqTE1NERYWhpycHCQlJQkbojk6OiI7O1toZ2ZmhqCgIDx+/BiZmZmIjIxE27ZtVa7VvXt3/PLLLyrHVq1ahYyMDJw/fx5169Ytk8xS63SQWt536XQAgJcvX2Lv3r0qheWblEolpkyZAn9/f+jo6MDa2hqRkZHIy8tDRETEB9npILUOB0CanQ5Syyy1vIA0Ox0A6cwaYAFPREREkie1Tgep5QU073QAgLCwMFSvXh1OTk7FXmvr1q2wtbWFg4MDAGDw4MGoXbs2LCwskJ6ejgkTJrx3Xql1OkitwwGQZqeD1DJLLS8gzU4HKc0akEQBv2bNGjRt2lTtj0KhENqcOnUKAwcOhK2tLXr37o39+/erXefKlSsYOnQo7Ozs0LVrV2zcuPGtz61UKrFhwwZ07doVdnZ2GDp0KGJjY9Xa7du3D7169YKtrS0GDhyI06dPq7XRJCMRERGRNtK00wEARo4cicTERMhksmKv5erqinXr1gmP5XI5QkJCkJWVhfDw8DK7h72UOh2k1uEASLPTQWqZpZYXkGang5RmDUiigAeA+vXrIzIyUuVPUQ9GXFwc3N3d0bt3bxw6dAijR4+Gl5cXTp48KXz9gwcPMHbsWDRv3hwHDx6Ep6cn1q9fj+3bt5f6vFu3bkVAQAC+//57HDx4EM2aNcPYsWPx8OFDoU14eDi8vb3h4uKCQ4cOoWfPnnB3d0dCQoLQRpOMREREYsgvKBQ7goq35VFoWV5N8kgx87+B1DodpNThAEiz00FqmaWWF5Bmp4OUZg2U7cr/cqSjowMLC4tiz23btg0ODg5wd3cHADRq1AhxcXHYvHkzevbsCQDYvXs3TE1N4evrC5lMho8++gi3b9/Gli1bMHr06GJfrJVKJQIDAzF27FgMGDAAADB//nxERkZi9+7d8PDwAABs2bIFn3/+OUaNGgUAmDZtGi5cuIBt27Zh5cqVGmckIiISg56uDmYER4sdQ/CTc8dSz8t1dbDg0OUKSvN28z53eGsbua4O1p5MeGu7ijKlp53YEagYRR0Of1dSh8PIkSNLvJarqytcXV2Fx0UdDmVt/fr1cHV1haWlJczMzFQ6Hfr166eS+590OoSGhsLCwgLt27cvk04HKWaWWt43Ox02b96Mq1ev4tChQ4iOLv59pqjT4e/7exQprtNh7dq1QqdD69at3ztzWc8aKLp9p6enp9qsgfHjxyMwMBBubm7/KKtkRuBTU1PRpUsXODk5YfLkybh165ZwLjY2Fp07d1Zp7+joiGvXriE/P19o06lTJ5VC3dHREY8ePcKDBw+Kfc6UlBQ8efJEZbqDTCZDp06dcOXKFQBAXl4erl+/rjYlwtHRUWWqvSYZiYiIiLRFQaH2jNJrkkWb8gLal6e8SG2WgxQzSy0vIL3ZJFKaNSCJEfiWLVtiyZIlaNSoETIzM7F161aMHDkSYWFhqF+/PtLS0mBmZqbyNRYWFsjPz0dGRgYsLS2RlpamtulL0Yj+kydPit3g5cmTJwCgdqsWc3NzXLp0CQCQkZEBhUKh9vzm5uZ4/Pix8FiTjO/i2rVrwt+Lfpm1yeXLpY+MaFtmqeUFmLkiSC0vwMwVQWp5gX9fZqnlBaSbOejc7xWUpnSjOjTVKO/R2HsVlOjtPm1l/dbMtrZ2MDDQr6BEb5ebm4dr17RnpghJ27x58zBv3jzh8eXLl2FoaIiIiAiVfxtNmjRBaGioMED6d/b29rC3t1f5Gk9PT3h6egKAStH9Prp164YpU6Zg3rx5+P333xEaGorAwMBi/x2/evUKu3fvxooVK4o9r1QqMXHiRHh4eCA2NhZKpRInTpzAZ599JizLftvrQ0kkUcB37dpV5bGDgwMGDhyInTt34scffxQplbhsbW1hYGAgdowSaeMHldJILS/AzBVBankBZq4IUssLMHNFkFpeQHqZpZYX0CxzxI3UCkiima4tar81c2GhEjo6xY/uVjRNshQqldApYTRaDNqWh/4nJCQErq6u6NOnD8zMzBAQEIBhw4YVu1Rh9+7dMDMzw8SJE4ud7RAYGIj27dvjq6++AvC6E+Lq1avo06cP2rdvj/nz55c42yE3N1dlsPbvJFHA/52enh7s7Oxw//59AK9Hu9PT01XapKWlQS6Xw8TEpNQ2AEpcW190PC0tDVZWVsLx9PR0YcTcxMQEcrlc7dpvttE0IxERERGRNtPRkSH2bprYMQAArRqav7WNjkyGmymZFZBGM83rVn9rG22r/M/SAAAgAElEQVQr8jXJo1QqS5y2X9H+aRap7EEhyQK+sLAQt27dgq2tLQCgVatWiIqKwsSJE4U2Z8+ehZ2dHfT09IQ2J06cULnO2bNnUaNGDdSpU6fY56lbty4sLCwQFRWFVq1aAXj9CxEVFYWBAwcCAPT19WFjY4OoqCh8+umnKtcu+hpNMxIRERER0YdNRybDvcfZb29YQawti1/j/SaZTIaHmS8rIM3b1axeWewI5UoSm9j5+fnhwoULSE5ORkJCAmbOnIl79+4Ju767uLggJiYGa9euxd27dxEUFISjR49i3LhxwjVGjhyJ9PR0+Pj44M6dO/jll1+wdetWuLq6lthDI5PJ4Orqii1btuDYsWO4ffs2vL29kZmZiREjRgjtXF1dcfjwYQQHB+POnTtYs2YNrl69qnJLAU0yEhERERERUflSKpViR1DxLnkkMQL/+PFjeHp64unTp6hevTpatGiB3bt3CyPw9vb28Pf3x6pVq/B///d/qFmzJnx9fVVuz1anTh1s3rwZS5Ysweeffw5TU1O4ubmpFNkpKSno0aMHlixZgsGDBwMAvvnmG+Tm5sLPzw9Pnz5Fs2bNsHnzZtSqVUv4ur59++LZs2cICAjA4sWL0aBBA6xZswZ2dv+7RYsmGYmIiIiIiKh8yWQyZL7QnjuBVTfUfEa2JAr4n3766a1tevbs+dZi2MHBAfv37y/xfEpKCgwMDNCmTRvhmEwmw6RJkzBp0qRSrz1s2DAMGzbsvTMSERERERERFUcSU+grSkREBMaPH6+yYR0RERERERGRNpDECHxFmTVrltgRiIiIiIiIiIrFEXgiIiIiIiIiCWABT0RERERERCQBLOCJiIiIiIiIJIAFPBEREREREZEEsIAnIiIiIiIikgAW8EREREREREQSwAKeiIiIiIiISAJYwBMRERERERFJAAt4IiIiIiIiIglgAU9EREREREQkASzgiYiIiIiIiCSABTwRERERERGRBLCAJyIiIiIiIpIAFvBEREREREREEsACnoiIiIiIiEgCWMATERERERERSQALeCIiIiIiIiIJYAFPREREREREJAEs4ImIiIiIiIgkgAU8ERERERERkQSwgCciIiIiIiKSABbwRERERERERBLAAp6IiIiIiIhIAljAExEREREREUkAC3giIiIiIiIiCWABT0RERERERCQBLOCJiIiIiIiIJIAFPBEREREREZEEsIAnIiIiIiIikgAW8EREREREREQSwAKeiIiIiIiISAJYwBMRERERERFJAAt4IiIiIiIiIglgAU9EREREREQkASzgiYiIiIiIiCSABTwRERERERGRBLCAJyIiIiIiIpIAFvBEREREREREEsACnoiIiIiIiEgCWMATERERERERSQALeCIiIiIiIiIJYAFfwU6dOoWBAwfC1tYWvXv3xv79+8WORERERERERBLAAr4CxcXFwd3dHb1798ahQ4cwevRoeHl54eTJk2JHIyIiIiIiIi0nFzvAh2Tbtm1wcHCAu7s7AKBRo0aIi4vD5s2b0bNnT5HTERERERERkTZjAV+BYmNjMXLkSJVjjo6OmDNnDvLz86Gnp/fWayiVSgBAXl6eynFLkyplF/Q95ebmatTOsnrlck6iGU3zWlQzKOckmtM0s3lV/XJOojlNM5sZvf3fQUXQNK+pofa8jGqauXpl3XJOojlNMxsbaMeEMU3zVtWXlXMSzWmauYr2/CprlFmLfo01/hkb6CjLOYnmNM2sh8JyTqIZTfPqKgvKOYnmNM0sK1SUcxLNaZpZWaAdmTXNW1iQX85JNKdp5gKF9DIr8vPe3qgC5OZq9pkhP087fo8BIFf3f6+1RXVeUd33dzJlSWeozNna2sLHxwdDhgwRjp07dw4uLi44e/YsLC0t33qN58+f448//ijPmERERERERCSiJk2aoGrVqmrHtai/nTRRpUoVNGnSBHp6epDJtGeEh4iIiIiIiN6PUqlEfn4+qlQpfoY1C/gKZG5ujvT0dJVjaWlpkMvlMDEx0egaOjo6xfbEEBERERERkfRVqlSpxHPasajwA9GqVStERUWpHDt79izs7Ow0Wv9OREREREREHy4W8BXIxcUFMTExWLt2Le7evYugoCAcPXoU48aNEzsaERERERERaTluYlfBTp48iVWrVuH+/fuoWbMmJk6ciKFDh4odi4iIiIiIiLQcC3giIiIiIiIiCeAUeiIiIiIiIiIJYAFPREREREREJAEs4ImIiIiIiIgkgAU8ERERERERkQSwgCfB8+fPxY5AREQSERQUxPeNcnbp0iUoFAq14wqFApcuXRIh0b9PWFgY8vLy1I7n5eUhLCxMhERERKXjLvQfqE2bNqF27doYMGAAAOC7777DsWPHYGlpiYCAADRt2lTkhMXLy8vDmTNnkJiYiBEjRqBatWpISkpCtWrVUL16dbHjqbl48SKOHj2KBw8eID8/X+Xcjh07REqlmSdPnqhlrl27tkhpiD4s2dnZOH/+PKytrdGoUSOx4xSrS5cuePbsGXr37o1hw4bhk08+ETvSW6Wnp+PQoUNITEzEtGnTYGpqisuXL8PS0hJWVlZix1PTvHlzREZGwszMTOV4RkYGOnbsiJs3b4qU7N+DP2Mqzn//+18YGhoKr2vBwcHYu3cvGjVqBG9vb1SrVk3khG8nhfcR+mfkYgcgcezZswd+fn4AgPPnz+PMmTNYs2YNwsPDsWzZMmzZskXkhOqSk5PxzTffICsrCzk5OejXrx+qVauG4OBg5OTkYMGCBWJHVHHo0CHMnTsX3bt3x4ULF+Dk5IR79+7h4cOHQseJtsnOzsaiRYvwyy+/qBXvAPhBhiQlKysLZ8+eRWpqqtoI25QpU0RKVbxp06bBwcEBo0ePRl5eHoYMGYLExETo6Ohg1apV6NWrl9gR1fz22284c+YM9u/fjzFjxqBevXoYOnQoBg0aBFNTU7Hjqblx4wZcXFxgaWmJ+/fvY9y4cTA1NUV0dDTu37+PlStXih1RjVKphEwmUzuenZ2NSpUqiZDo36ekn3F6ejqqVKkiQiLSBitWrICHhwcA4M6dO1i8eDGcnZ0RExODpUuXYtGiRSInVCfF9xEpaNasWbGvEcWpqM/JLOA/UI8fP0adOnUAvP4Q1rdvX/Ts2RPW1tZwdnYWOV3xFi1ahE8++QQLFy5EmzZthOPdu3fHjz/+KGKy4m3evBlz5syBs7MzWrVqhe+//x5169bFvHnztPLDLQAsX74cCQkJWL16NTw8PLBgwQL89ddfCAoKwg8//CB2vFJJbXZGESnOdJBC5vj4eIwfPx46OjrIysqCubk50tLSUKlSJdSsWVPrCvjLly9j4sSJAICTJ08iLy8PFy5cwIEDB7Bhwwat/OClo6ODHj16oEePHnj8+DFCQ0MREhKCn3/+GT169MCwYcPQsWNHsWMK/Pz8MGzYMMycOROtWrUSjnfu3BkHDx4UMZm62bNnAwBkMhkWLlwIAwMD4VxhYSGuX78OW1tbseJp5M8//0RISAgSExOxePFiWFpa4uTJk6hduzZatGghdjyMHj0awOuf8bfffgs9PT3hXGFhIe7evSuJWSXXrl1DUlISunXrBkNDQ7x48QL6+vqQy/kR/30kJyfjo48+AgCEh4fD0dERc+bMQXx8PCZPnixyuuJJ8X2kyNmzZxEUFISkpCRs2bIFtWrVwt69e2FlZYUOHTqImm3lypVCAf/06VOsWbMG3bp1Q+vWrQEAV65cwW+//YapU6dWWCb+6/5AGRkZIT09HbVq1UJ0dDTGjx8PAJDL5cWuBdMGsbGxCA4OVntTql27Nh49eiRSqpIlJyfD0dERAKCvr48XL15AJpPBxcUFLi4umDZtmsgJ1UVERGDp0qVo164dZDIZWrZsiYEDB8LS0hKhoaHo16+f2BGLJbXZGVKc6SC1zMuXL0efPn3g6+uL1q1bIygoCPr6+pgxYwa+/vprseOpycrKEjr2IiMj0adPH1SrVg29e/eGv7+/yOneztLSEr1790ZmZiaCgoJw/vx5nDp1CvXq1cOSJUvQsmVLsSPixo0bxb4WWFpaIi0tTYREJXvy5AmA16PD6enpKsWlnp4eOnToABcXF5HSvd25c+cwYcIEdOzYEefPn0dubi4AIDExEWFhYVi7dq3ICQFra2sAr5e61a9fX6WTRE9PDz179sSXX34pVjw1hYWF0NH539ZVT58+xeTJk3H16lXIZDL8+uuvMDQ0xJIlS1CpUiXMnTtXxLTqNm3ahBMnTsDY2BjOzs7o2bOncC4tLQ2Ojo5a9T6iq6sr7D9x4cIF9O7dGwBgZmaGZ8+eiRmtRFJ9Hzl27BjmzJmDwYMHIzo6Wvi5FxQUYPPmzaIX8G/OmnV3d8fUqVMxatQo4djw4cOxa9cuREVFqRwvTyzgP1CdO3fGvHnz0Lx5c5VC888//0TdunVFTle8goKCYo8/efIElStXruA0b1e1alW8fPkSAGBhYYH79++jadOmePnyJXJyckROV7zMzExhHaiRkZHwJuXg4ABfX18xo5VKarMzpDjTQWqZb968CR8fH8hkMujo6CAvLw9WVlaYOXMm5syZg759+4odUYWFhQX++OMPWFhYICoqCvPnzwcA5OTkqBRv2ubVq1c4fvw49u3bh6tXr6JNmzZYunQpevXqhefPn2PlypXw9PREeHi42FGhq6srvCa/KSkpCcbGxiIkKt6SJUvg7+8PQ0NDdO/eHevWrYORkZHYsd7JqlWr8N1338HFxUVltkPbtm2xfft2EZP9T9F7moWFBVxdXWFoaChyotIFBgaicePG6Nq1K4DXvydVq1ZFdHQ0evToIbTr27ev1k3v3rZtG9avX4/hw4fj2bNnmD59OiZOnAh3d3ehjbZtyWVnZ4cNGzagY8eOuHz5MhYuXAgAePDgASwsLEROVzypvo8EBATAx8cHgwYNUpkN9fHHH2tFZ9+bIiMjMXPmTLXjjo6OFboMi7vQf6C8vLzg4OCAjIwMrF69WphifO3aNa37YFukbdu22Lt3r8oxhUKBjRs3olOnTiKlKtnHH38s7BLcrVs3LF26FKtWrcKcOXPg4OAgcrri1a5dGw8fPgQA1K9fHxEREQCAmJgYrV4LGBsbi/Hjx0tmdkZERATmzZsHJycnYabDhAkT4OHhgdDQULHjFUtqmXV1dYXfBzMzM+H3wMTEBKmpqWJGK9aXX34JDw8PfPrpp9DV1RVGHOLj49GwYUOR0xXPy8sLjo6OWLp0Kezt7XHs2DFs374d/fv3h56eHkxNTTF9+nQkJiaKHRXA6w9YmzdvVikUsrKy4O/vDycnJxGTqdq1a5fQ0fDXX38Jo9dS8scff6gUlUVMTEyQkZEhQqKSTZkyRaV4z87OxsmTJ3Hnzh0RU6nr0KEDfH19hZ3xz507h++++05tSV69evXw119/iRGxRHv37oWvry9++OEHLF68GDt27EBQUBDWrFkjtNF0jXFFmT17Nm7evIkFCxbAzc1NGNz49ddf8fHHH4ucrnhSfB8BgHv37qkMvhR5cyBJWxgZGSEyMlLteGRkZIV2tHIE/gOkUChw8uRJuLm5wdzcXOXc9OnTRUr1dp6enhg1ahSuX7+O/Px8LFq0CLdv30Zubi5CQkLEjqdm1qxZePHiBYDXHxBycnJw6tQpWFtbY86cOSKnK16vXr1w8eJFtG7dGqNHj8b06dOxb98+pKWlCeuqtJHUZmdIcaaD1DI3adIEN2/eRP369WFvb4+NGzdCJpNhz549wtRZbfLtt9/io48+wl9//YW+fftCX19fODd27FgRk5Xs3r178Pb2Ru/evVXyvsnExERr7rgxa9YsjB49Gj179kReXh6mTp2K5ORk1KxZEzNmzBA7nsDS0hLHjx+Hk5MTlEolHj58WGIRr217TxSpUqUKMjIy1Hb2//PPP7Vu9FIqG3/Z2Nhg37598PT0xKBBg5CTk1Ps+9uzZ8+0bv17amqqysBF69atsW3bNowZMwYymQwjRowQMV3xmjRpgiNHjqgdnzFjhtb9fIt8++23aNy4MVJTUyXzPgK87mR/8OCBsDdXkfj4eK17jXN1dcWSJUtw7do1YXZRbGwsjhw5gu+++67CcmjnbyCVK7lcDi8vLxw/flzsKO/E2toahw8fxu7du1GlShUUFBTg008/xddff612+xdt8OZShEqVKsHb21vENJop2nEVAHr37o2QkBBcvnwZ1tbW6Natm3jB3qJodkbRxk+Ads/OKJrpULt2bWGmg52dnVbPdJBa5kmTJgkdaNOmTcPEiRPxzTffwNTUVGvXAvbp00ft2JAhQ0RI8nb5+fmoW7cu7O3tSyzegdfvN23btq3AZCWzsLBAWFgYjh49iuvXr6OwsBDOzs747LPPVNY/i83NzQ0LFizAokWLIJPJiv0dKNo5XZvWDL+pV69eWL16tcoI6/3797FixQqt20tFSht/mZmZYfPmzQAAe3t7hIeHY8KECSptdu3apXWz/KpWrYpHjx6pFGjNmjXDli1b8M033yAzM1PEdO9GW5da5Ofnw8vLC5MnTxbW6xfR1veRIgMHDoSfnx9Wr14NmUyGvLw8REdHY/ny5Vq3sfY333yD2rVrY9u2bTh16hQAoFGjRli5cmWx7+HlhfeB/0CNGDECkyZNEtZSEb354q+N90Muzb179zBq1Cg0bNgQV69eRefOnVVmZ/y9V1dsP//8MypXrgw3Nzf8+uuvmD59OiwsLISZDhW5k6mmpJj57zIzM2FsbKx1UzWLaPMuvMVxcHBAWFiY5F4vpCAzMxPJyckYOnQoNm7cWOKdNOzt7Ss4mWZycnIwceJEXL9+Ha9evRKmzrdr1w4bN27Uqg4TOzs7/Oc//0HNmjUxZ84cGBsbY9asWXjw4AE+/fRTxMbGih2xWPHx8RgzZgx69+6N48eP44svvsCff/6JW7duITg4GM2aNRM7osDd3R3W1tbFznSJjY3F2LFj8fLlS63qkOrXr1+p7xXHjh2rwDSaad26NQ4dOiS512SFQoE5c+bgyJEjKrd1HDRoEBYtWqSyeSO9xgL+AxUREYHly5dj8uTJsLOzU+tR1JYR7aI15Joobv2MmEq7b6SBgQHq16+PYcOGVdiOlZqQ6os/8HoX2927d+PatWsoLCyEjY2N1s7O+Lu4uDhcuXJF62c6vEmbM+fn58Pe3h4HDx5E06ZNxY6jkTd34d2/fz9++eUXWFlZYffu3Th58iS2bNkidkQ106dPR7t27TBy5Eixo2gsNTUVFy9eRHp6OgoLC1XOFd2NRZscPHgQAwYMKHWWgzY7f/68MNvB1tZWKzuiunfvDh8fH3Tq1Andu3fH/Pnz0bVrV/zxxx/46quvcPHiRbEjluiPP/5AYGCgyvvexIkThdufaYuYmBhhr5riXLx4EQcPHsSSJUsqOFnJ/r55Wn5+Pm7cuIGrV69i1KhRWrnkVIqvyW9KTk4WXi9sbGxQv359sSOpmTp1KoYPHy767E4W8B+oN3tm3ywytW1aXlERXPRrWpT1748B7buNVdEGLU5OTsKGJ1evXsVvv/2GcePGISUlBQcOHMAPP/ygNVOEpPjin5+fj3HjxsHHx0cr1zaTOJycnLBx40Y0adJE7CgaGTRoEFxcXDBo0CC0atUKhw8fhpWVFW7evIlx48YhKipK7IhqgoKCsHbtWvTp0wd2dnZq63H79+8vUrLiHT16FD/88APkcrnaxl8ymUyYDkkflnXr1iEwMBCWlpbIzc3FiRMnoK+vj/3792P//v1auceO1KSnpxd73MjISKtmY2hi48aNSEtL07rb9AHSe00uzfPnz1G1alWxY6iZNm0aTp8+DQsLCwwZMgRffvklatSoUeE5WMB/oN7Wo6wtaxbfvDfv9evXsXjxYkyYMAGtW7cGAFy5cgWbNm3C7NmztW45wNSpU9G+fXu14jw4OBjnzp3DmjVrsHPnTuzdu7fYjVLEINUX/3bt2mHfvn2oV6+e2FE0JrWRQEBambdt24bY2FgsX75cEqOXRbu416lTR6WAT05ORv/+/ZGQkCB2RDWlTdHVpo7gIr169UKfPn3g4eEBXV1dseOUyN7eHmfOnIGpqSlatmxZ6jTeuLi4CkymuZ9//hk1atRQe//bvXs3Hj9+jGnTpomUrHjh4eHCBpI1a9YEAOzfvx/GxsZatQb+TUWf4/7+ee3ixYuQyWRaNSuxpBmJMpkMNWvWxPjx4yUzcJCYmIhhw4bhwoULYkdRI7XX5CKbNm1C7dq1hfutf/fddzh27BgsLCywadMmrZtJl5GRgbCwMBw4cAD37t1D586dMXToUHTv3r3CpvuzgCfJGDJkCNzd3dUK9YiICKxevVrrbmXVqlUrhIWFqU0BSkxMxKBBgxAbG4vExER8/vnnuHr1qkgpVUn1xd/Lywu1atXCpEmTxI6iESmOBEot87hx43DlyhXo6emhcePGap1RmzZtEilZ8bp37w4/Pz+0bdtWpYD/5Zdf4O/vrxX3UZe6jz/+GEeOHNH6JUJvTpsPDQ0ttYD/4osvKjCZ5pycnPDzzz+r3W4rPj4e06dPx+nTp0VK9u8xePBgTJo0Sa2D4dSpU1i/fj0OHDggUjJ1JQ0aPXv2DAkJCdi1axfmzp2LwYMHV3CydxceHo758+dr5awoqerZsyf8/PzwySef4Pz585g8eTKWLVuG8PBwPH36VCuXkBWJjY3Fvn37cPToURgbG2Pw4MFwdnYu91F57kL/gXv8+DFSU1ORn5+vclybem6L/PHHH8V+8Kpbty5u374tQqLSGRkZ4dy5c2oF/Llz54R7Rebm5mrVbc5u3boldoR/xNzcHFu2bMHly5fRsmVLtZ+pto0Or169Gi4uLlo/EvgmqWW2sLCo0B1h35eUduEFpLnPQLt27XDr1i2tL+DfLMqlUNAUJy0trdj9R0xMTPDkyRMREpVOoVAgISGh2M9DgwYNEilV6e7evVtsp3uTJk1w9+5dERKVrLRZnT179kTdunWxa9curfp99/HxUXmsVCrx+PFjREVFaeVt76Ts8ePHwmbDv/32G/r27YuePXvC2tpaK9//imRnZ+P333/HrVu3UFBQABsbG5w9exZbtmyBt7c3hg4dWm7PzQL+A/XkyRPMmDEDMTExAKCy6yOgfevJAaBevXrYvn07fHx8VNbC79ixQyunTo8ZMwYLFy7EtWvXhJ2C4+LicPjwYWHzk4iICLRo0ULMmP8KYWFhqFatGu7evav2wUUmk2ldAf/kyRMMHz5cEoVwEall1qbNkDTh7u6Ov/76C71794ZSqcSnn34K4HXxMG7cOJHTqdPT00ONGjW0dkf/4gwePBjLly/H48eP0bRpU7WlFS1bthQpWcn8/PzQoUMHODg4CB2/UlCjRg0kJCSodZYkJCRo3X3g79+/j4kTJyIpKQnA6/eMwsJC6OrqQi6Xa20Br6+vj4yMDLWfcXp6umRep4u0a9cOfn5+YsdQcefOHZXHOjo6MDMzw7x587R25gsAZGVl4ezZs0hNTUVeXp7KuSlTpoiUqnRGRkZIT09HrVq1EB0dLXxmk8vlat+DNrh8+TL279+PEydOoHr16vjyyy+xYcMGYdR93759WLlyJQt4KntLlixBYWEhwsLCMGLECGFTjjVr1mDevHlixyvW7NmzMXnyZERHRwsftOLj4/H48WOsX79e5HTqxo0bhzp16mD79u349ddfAQANGzbEsmXL0LdvXwCv7yfp6uoqZkw1ISEh2LVrF5KTk3H06FFYWVkhICAAdevW1do18FKbjimVkcA3STGzlMjlcixbtgzu7u5avwtvkTFjxmDdunWS2WegaN31ggUL1M5p6xKhP//8E3v27EF+fj5atGiBdu3aoX379nBwcEClSpXEjleizz77DEuWLIGhoaGw83x0dDSWLFmiVaOswOvPQ40bN8aBAwfg6OiIgwcPIisrC/Pnz8esWbPEjleidu3aYd26dVizZo3w7y8vLw/r16/Xmn2MNJWTk6NVsxEBYOfOnWJHeGfx8fEYP348dHR0kJWVBXNzc6SlpaFSpUqoWbOm1hbwnTt3xrx589C8eXMkJyfD0dERwOvXv7p164qcTlW/fv2QnJyMzp074+eff0aXLl3U1r336NGj3GspFvAfqIsXL2LdunVo2rQpZDIZLC0t0bZtW+jr62Pt2rXo2LGj2BHVdOrUCb/++iuCg4OFntH+/ftXyFqTf6pfv37o169fieflcu36J7hz505s2LABY8eOxerVq4XjlpaWCA4O1toC/k0vXrwAALVbI2oTKY4ESiFz//79ERwcjOrVq0vyHr4AYGVlJZlOksjISFy5cgWOjo6S2GdA2/Zp0MSWLVugUCgQFxeHCxcu4MKFC9i5cycKCgpgb2+PXbt2iR2xWJMnT0ZSUhLc3NxU/h32798f7u7uIiZTFxcXh23btsHIyEgYfbe3t8fMmTOxZMkSHDx4UOyIxZo5cyZGjhyJXr16wcHBAcDrjX1zc3MRHBwscrp3s3v3btjY2IgdQyDFJUIAsHz5cvTp0we+vr5o3bo1goKCoK+vjxkzZuDrr78WO16JvLy88PPPPyM1NRWrV69G9erVAQDXrl0TBry0Rf/+/TF06FBhs8vimJqalvuSVO2qHqjC5OTkwNzcHABQrVo1ZGRkoEGDBmjWrBmuX78ucrqS1ahRAx4eHmLH+NfavXs35s+fj549e6rcA7VFixZauc/Am3bv3o2AgAA8fPgQAFCrVi1MmDBBK9eqSXEkUAqZ+/fvL9ySqH///lo/vfvvayzLqm1Fkdo+A0VrLKVGLpfDwcEB9erVQ926dWFhYYETJ05o9Xu1XC7HihUrMGXKFNy4cQMymQwtWrTQyhklCoUCVapUAfB6jX56ejoaNmyIunXrat1a8jfVr18fhw4dwpL4ovEAACAASURBVK5du4TX30GDBsHZ2RmWlpYip1NV0uvX8+fPcePGDTx8+FCrOh2kuEQIeL38tWiZqY6ODvLy8mBlZYWZM2dizpw5WlcMFzEyMip2xLpouak2ebMDUswBIxbwH6j69esjKSkJderUQaNGjXDkyBHY2dnh2LFjajtMa5OnT59i165dQjHZpEkTODs7a2Xm/Px8bNy4EUeOHEFqaioUCoXKeW0oeP4uJSUFzZs3VztuYGAgvFBpo02bNmHdunUYPXq0sAHjxYsX4efnh5ycHIwdO1bkhKqkOBIohcxvTg/UtlG+4vx9jaXUSG2fgbCwsBLPGRgYoEGDBsW+/onp119/xfnz53H+/HkkJyfD3t4e7dq1w9atW9V2eNdGDRo0QIMGDcSOUaqGDRvizp07sLKyQvPmzREcHIwaNWpgx44dpY6yaQMLCwtJDGqU9FpnZGSE7t27w9nZWes62KS2RAiAsG8DAJiZmeHRo0do1KgRTExMkJqaKnK6kqWnp5d6vrgNMcWkDQNGLOA/UIMHD8bt27fRoUMHTJgwARMnTkRISAgA4McffxQ5XfGuXr2KsWPHwtjYWPjgEhoaim3btiEwMFArpvC+ae3atQgLC8P48eOxbNkyzJgxAykpKQgPD9e6e+AWqVWrFm7fvq32Rnr+/Hmt/hC2e/dueHl5qaytdHR0RIMGDbBu3TqtK+C17YOKJqSWed++fSVuIOPj46MVI9pSXGNZnGvXriEpKQndunWDoaEhXrx4AX19fa1bIuTl5YWCggIUFBSobISqq6sLpVIJpVKJFi1aYNOmTVrTKTx16lSYmZlh3LhxGDFihNatEy7N0aNHER0djfT0dBQW/j97dx5OZf7/D/x5JHzaDEVFqFSO7G2khSgRSTWYpgkzSvtKKkbSpkIpNTM1LSqVKFtRGtVMG1EzWilMEqWQkgoH798ffu5vp4M0M3nfh/txXV0X9znX9Xl+zFnu9/Z61Qo9xqbjFU5OTigtLQUAzJ8/H66urhg/fjykpKQQEBBAOV3T3r17h/v376O4uFjkb8ymI2/i+FknbkeEgLpFrYyMDKipqUFPTw+7d+8Gj8fD8ePH0adPH9rxGjVixIgmdzuwacGLLQtGXB94DgDg2bNnuHPnDtTU1Fh73mfatGlQVVXFhg0bmBvD6upqeHl5IT8/n1Xbr4C61ig//vgjTE1NYWBggNjYWKaS/u3btxEUFEQ7oojQ0FAcOXIE69atw9y5c/HTTz8hPz8fAQEB8PDwgIODA+2IDdLW1kZ8fLzI9szHjx/DxsYGd+7coZSscU+fPkVqamqDN7dsq5pfT5wyDx48GAEBATAzMxO6vm7dOiQmJuLKlSuUkjVs586dcHV1FblJrKiowN69e1lZfOjly5eYN28e0tPTwePxcO7cOaioqMDHxwcyMjLw9vamHVHI1atXsXXrVqxYsYKZBE5PT0dAQAAWLVoEWVlZeHt7Q1tbmzW7Cw4fPozU1FSkpqZCUlISw4YNg5GREYyMjFi5Hb1eQEAAQkNDYWhoCEVFRZGbc7b8fRtSUVGBnJwcKCkpQU5OjnacRiUnJ2PJkiV4/fq1yGNsOdYkzlatWtXk42x8DV+7dg3v3r3D2LFjkZ+fj9mzZyMnJwfy8vLYsWMHhgwZQjtig1JTU4V+r66uxt27dxEeHg53d3dYW1tTSibKzMwMCxYsECnGefLkSezatavliioTDkdM6OjokOzsbJHrWVlZRFdXl0Kipunq6pKCggJCCCHGxsbk3r17hBBC8vLyyODBg2lGa1JwcDDR09MjGhoaRENDg+jq6pKQkBDasZo0fvx4cuDAAZHrBw4cIJaWli0f6BNOnTpFtLS0iJ6eHhkzZozQPzMzM9rxGiRumS9evEgGDRpEbt68yVzbsGEDGT58eIOfI7Tx+XxSXFwscv3ly5eEz+dTSPRpHh4eZObMmaSkpITo6+uTvLw8QgghV65cIVZWVpTTibK2tiZpaWki19PS0oi1tTUhpC67iYlJCydrnvv375MDBw6Q2bNnEy0tLWJqako7UqOMjY1JfHw87RifVFBQQCorK0WuV1ZWMt/fbGVjY0M8PT1JYWEh7SgcFistLSW1tbW0Y/wj8fHxZPbs2bRjCNHS0iK5ubki13Nzc4m2tnaL5WDX/jZOixK3dmEdOnRAcXEx1NXVha4XFxezcluhoqIiSkpKoKSkBGVlZdy8eZMpBsfmHq2LFy/G7NmzkZWVBUII+vXrx+qK7gDg6uqKNWvWICMjg6nGe+PGDSQkJMDPz49yOlHbt2+Hi4sLli5dyurXwofELbOpqSm8vLwwd+5chIWFISoqCqdOncLBgwdFPkPYgBDS4BbCx48fo0uXLhQSfVpycjL27t0rst1cVVUVz549o5SqcXl5eUx14w/JysoyPcB79+7NbKdmkydPnuDu3bu4ffs27ty5g+rqatYdUfiQQCCAtrY27RhNSkhIYI66NWTmzJlYvHgxaws15uXlYdeuXaztwiPuNm/eDAcHB1ZvPW+Ohj7zxIWOjg7rdnL16tULFy9ehIuLi9D1ixcvtmjLO/Z++nO+KHFsF2ZmZobVq1cz7TEA4ObNm1izZg3Gjh1LOZ0oIyMjnD9/Hjo6Ovj666+xbt06nDlzBhkZGbC1taUdr0kyMjLQ0dGhHaPZ7O3tIS8vj3379uH3338HAKirqyMkJARjxoyhG64BRUVFcHR0FIuBcD1xzDx16lQUFRXBwcEB0tLSOHjwIAYMGEA7lhAzMzPweDzweDxMnTpVqJ9sbW0tioqKWPl5DDTeu7msrIyVg8sBAwYgJCQEmzdvZnqov3//Hjt37mSOjhUUFEBBQYFmTCGrVq3C9evX8fTpU/Ts2ROGhobw8PCAkZERevbsSTteo2xtbZGUlIQffviBdpRGHT9+HD/88EODBcqkpKQwc+ZMHDt2jLUDeC0tLRQUFEBVVZV2lFYpLS0NoaGhGDRoEBwcHGBpacl0OWGbT233r8fGbf9NiYqKYl0BO7YsGLHvG5bTIsSxXZiXlxdWrlwJFxcX5iaXEIJx48Zh5cqVlNOJWrduHcj/LzHh4OCAzp074+bNm7C2toajoyPldP/nc84us7FoSz1zc3OYm5vTjtEshoaGyMzMFJt+34B4ZG7o9dmuXTvIyspi8ODBuHTpEi5dugSAPWf266vWbt26FZMmTRLa7SIlJYVevXqxchIKAPT09JCYmAg3Nzeh62FhYcyNDZv4+vpizpw5GDVqFPr16wcAyM7OhpSUFHbv3g0AKCwsZFW/5KqqKsyZMwdGRkZiNVCTk5PD7t27kZ6eDj6fj/bt2ws9zob3X05ODlOEqiGDBw/G1q1bWzDR51m4cCFTv6GhvzHbBj7i5sSJE3jw4AEiIyOxceNGbNiwATY2NnBwcACfz6cdT0h0dDSUlJSgrq7O3HeKEysrK6EdaIQQlJSU4O3btw22rqWJLQtGXBG7NkpXVxdnzpyBsrIyDAwMEBcXBxUVFTx+/BgTJ07E7du3aUds1OPHj5mWJP369ROrmxo2au7MLSAes7fV1dUiBdbY1gImMTERQUFBcHZ2hoaGhkg+tnVUAMQj88cF6xrD4/FY1xYvOjpaqI+9OLh9+zacnZ1hYWGBM2fOYPLkycjKykJmZiaOHj3KuptcoG7FPS4ujunvra6ujokTJ7LyGJY4a+q9yJb3n66uLmJiYtC3b98GH8/JycHkyZNZez/04fvr48EPV8Tuv1VVVYXExEScOHECaWlpGDhwIBwdHTFx4kRmNw9N7u7u+O2336ClpQUHBwdYWVmxIldzhYSECL2GeTweunbtCkNDQ7E/wvClcAP4Nmr8+PHw8vKCiYmJ0AD++PHjOHLkCOLi4mhHFGvPnz9nzqWdPn1aqAe8hIQE67fQi5sXL15g48aNSE5ORllZmcjjbLuRaWpgw9YbL3HMzPnysrKysG/fPty9exe1tbXQ0tLC7NmzmRVuzj/z7NkzlJeXo3///sy1tLQ07Ny5Ey9fvsS4ceOwaNEiignF3/jx47F48eJGj6jEx8djx44dSExMbOFkzfNx5e6PDRs2rIWStA2XL19GZGQkLly4gD59+qC0tBTV1dXw9/dnxS6p169fIzY2FpGRkSgsLISNjQ0cHR1ZOZHK+fe4LfRt1LRp07B+/XpmtSc/Px8pKSkICgqCh4cH5XTCPtzi3xS2tFlKSkrCTz/9hKioKACAj48PqqurmdnFmpoaSEpKsvZcqzjy9PREUVERFi5ciG7dujXZT5QN2LD69LnEMbM4EQgE2L17N06dOoWnT58KTfoB7JuEKi8vx61bt1BdXQ1PT0/W9E3/WEJCAsaOHQspKSkkJCQ0+Vw2fSZv2rQJysrK8PT0BFC3td/NzQ3Kysro1asX9uzZg27duuHbb7+lnPTTiouLIS8vL1TfgQ3MzMywfft2mJqaihRqLS8vR0hISLN39dDADdC/vGfPnuHkyZOIiopCaWkprKyscOTIEejp6UEgEOCXX36Br68vKwbwsrKycHJygpOTE9LT0xEZGYnp06ejT58+CAsLY+WKfHOPPdK+/9DV1W32feWtW7e+cJo63Ap8G7Z9+3YcOHAAFRUVAABpaWnMmjWLNQPhenw+H926dUOXLl0aPdvD4/E+eXPWUubMmQNzc3PY29sDgNAOB6DunG5aWhr27NlDMyZj1qxZ2Lp1Kzp37vzJc4lsPQNvYGCA8PBwphAVhwPUHbc5e/YsCgoKIBAIhB5j23GQbdu2ISYmBrNmzcKWLVuwcOFC5OfnIzExEYsXL8a0adNoR2Q8fPgQM2fORFFREQgh6Ny5M3bs2IHhw4fTjiaCz+fj6tWr6Nq1q1jtIjEzM8OmTZuYQdqvv/6KiIgInDlzBpKSktizZw8SExNx8uRJykkbJhAIsGPHDoSFhaGyshKJiYlQUVFBQEAAlJSUMH36dNoRUVpaiilTpqC6uhozZsxgttLn5OQgLCwMkpKSiIqKYnUv+JcvXyIsLIypXTRgwAB8++23rJ1QEyeurq5ISUlB37598c0332DSpEno1KmT0HNKSkowYsQIZGZmUkrZsKqqKpw9exZhYWHIyMhAcnKySHY24PP5UFJSgo2NTZP5Pq6z0tKioqKaPYCfPHnyF05Th1uBb8PEpV2Yvr4+7t+/DyMjIzg4OLB+1jk7OxvLly9v9PFRo0bhwIEDLZioaR+uWHfr1o1ymn+md+/eqKyspB3js2RlZWHv3r3MjVf//v0xc+ZMVm89rq6uxp07d/D06VORAbGdnR2lVA27fPky5s2bh/79++Phw4cYOHAg8vLyUFNTA319fdrxRMTHx8PPzw+mpqYICgrC+PHjoaqqir59++LGjRusGsBv3boV3bt3R3BwMKSlpRESEoL169cjPj6edjQRH95Ys+0muynFxcVQVlZmfk9NTcXYsWOZ6v7m5ubYt28frXif9PPPP+PcuXPw9/cXKjKro6ODffv2sWIALycnh2PHjmHNmjUIDg5maqdISEhg9OjR8PX1ZfXgPT09Ha6urpCVlWU+06KiohAaGor9+/ezoi6JOFNQUEBYWBgMDAwafY68vDz11eEPPXz4EBERETh16hS6deuGr7/+Grt372bl4B0A/Pz8EBkZicOHD8PS0hL29vZMlyk2mTJlCu0Iolqs4zyHlQQCAcnNzSW5ublEIBDQjtOorKwssnHjRmJoaEgsLCzI3r17SUlJCe1YDdLW1iYFBQXM75cuXSIVFRXM7/n5+URLS4tGtFYrNTWVzJgxg9y/f59UV1fTjvNJFy9eJAMHDiSOjo4kMDCQBAYGEkdHR6KlpUV+//132vEa9OjRI2JhYUH4fD7h8/lEU1OTaGhokIEDBxJdXV3a8URMnTqVhISEEEII0dfXJ3l5eeTt27dkzpw5JCwsjHI6Ubq6usznhrGxMbl37x4hhJC8vDwyePBgmtFEGBsbk/T0dOb3kpISwufzydu3bymm+rTi4mLaEZrNyMiIZGZmMr8bGhqS+Ph45vfHjx8TfX19GtGaZdy4ceTatWuEkP97/xFCSHZ2Nhk6dCjNaA169eoVuXXrFrl16xZ59eoV7TjN8s033xBPT0+hezeBQECWL19Opk2bRjEZp6VFREQQe3t7oq+vT1asWEHS0tJoR/osGRkZZO3atWTo0KFkwoQJ5MCBA6S0tJR2LCFhYWFC9/K0setAEqfFCAQCBAYGYujQobC0tISlpSWGDh2KgIAAVFVV0Y4nol+/fli1ahUuXbqERYsW4fLlyzA1NcXixYtZl7dTp07Iz89nfh81apRQZen8/Hx07tyZRrRWS01NDTU1NZgyZQq0tbWhqakp9I9tgoOD4eLigvDwcLi7u8Pd3R3h4eFwcnJCcHAw7XgN8vf3R//+/ZGWlgYZGRkkJCTg+PHj4PP5rDxakZOTg4kTJwIAJCUlUVFRgQ4dOmDRokWsXLlUVFRESUkJAEBZWRk3b94EULejp127djSjiSgpKUGvXr2Y3+Xl5SEjI8PkZ6vRo0fDzc0NCQkJrPve+NjAgQMRGRkJALhy5QrKyspgaGjIPJ6XlwdFRUVa8T6psLCw0ZaTbPzby8rKQldXF7q6upCVlaUdp1nu3bsHNzc3ZlcGUPdZ5+bmhnv37lFMJt7++OMPmJqa4s2bNyKPlZWVYcyYMbh27RqFZI3z8fFBcXExZsyYAXV1dfz111/49ddfRf6xFZ/Ph4+PDy5fvgw3NzfEx8fDxMQE5eXltKMx1q9fL5Rn+PDhQvf6LY3bQt9GrV+/HufOncPy5cuZ7Sp//vkndu7cifLycvj5+VFO2DApKSlYW1ujR48e2L59O86dO4e1a9eyqk2Yjo4Ozp492+hW//j4eOjo6LRwquYR1zPw7u7uKCkpwYoVK6CgoMD6InY5OTkNDtTt7e1x+PBhCok+7datWwgNDUWnTp3A4/FQW1sLPT09eHh4wN/fH9HR0bQjCvnf//7HFILr1q0bCgoK0L9/f0hKSuLly5eU04kyMjLC+fPnoaOjg6+//hrr1q3DmTNnkJGRwbquFTweT+Q9xvb3HADs3r0bcXFx8Pb2xurVq2FhYYHJkyc32Quclrlz58LV1RVnz57Fq1ev8PXXXwv19T537hwrt5rW6927N27fvi000QMAFy5cwIABAyilal06dOiA4uJiqKurC10vLi7m2iL+C0ePHsX333/f4EJLly5d4OrqikOHDsHY2JhCuoYpKSkBqOt61Bgej/fJezzaHjx4gLS0NOTk5EBdXV1ocoo28lENroqKikbrcrUE9vxlOC0qPj4eAQEBQpUz+Xw+evToAU9PT1YO4F+9eoWYmBhERkaiuLgYEydOhLe3N+tmy7/77jvMmTMHKioqcHJyYlbPqqurceDAAZw8eRI///wz5ZQN+/gMvEAgQGZmJgoLCzFu3DhKqT7t9u3bCA8PZ+Vqe0NkZWWRk5OD3r17C13/+++/Wfd6rlddXY2OHTsCqDs7WlJSgr59+6JXr15MT2020dLSwp07d6Curg5DQ0MEBwejqKgIcXFxrHydrFu3jrkZcHBwQOfOnXHz5k1YW1vD0dGRcjphhBCRqsuVlZWwtrYWGsi3VDXe5ho5ciRGjhyJ9+/fIzExEadOnYKzszN69OgBW1tbLFmyhHZExpAhQxAVFYUrV65AQUEBVlZWQo9raWmx+oyzq6sr1q1bh/fv3wMAbty4gRMnTiA0NBSBgYGU07UOZmZmWL16Nfz8/JjJnJs3b2LNmjUYO3Ys5XTi68GDB0z3h4YMHz6cdYsZFy5coB3hH3vz5g1iY2MRERGBgoIC2NjY4PDhw9DS0qIdjdW4AXwb1a5dO6ipqYlc7927N+u2a167do3pvamrqws3NzdYWloKbUtnk9GjR2PevHnYvHkzQkJCoKqqCkII8vLyUFFRgXnz5mH06NG0Yzaoscrc69evF1r9YRtVVVWRtltsNnHiRKxevRqvXr3C4MGDAdTd4G7btg2TJk2inK5hffv2RU5ODlRUVKCpqYmjR4+ie/fuOHToEHr06EE7noilS5cy290WLVqElStXwt/fH3369MGmTZsop2vYh4NfKysrkUEbW7Ctgv/n+t///gc7OzvY2dkhJycH7u7u2L17N6sG8ACgrq4usrpaj22TOh+bNGkSBAIBdu3ahffv32PVqlXo0aMH/Pz8WD0ZLE68vLywcuVKuLi4MC36CCEYN26cUOFAzucpKSlB+/btG31cUlISpaWlLZio9fLw8EBSUhL4fD5cXFxgZWXF2t0jH+88o73rjGsj10Zt2bIF7969w5o1a4Sur1u3DlJSUlixYgWdYA2obzMxZcoUps1LQ9jUwxcA7ty5g7i4ODx+/BhA3eTIxIkTWbt9vil///03nJyccOXKFdpRGpScnIxffvkFq1evbvSGl03qa1AcPXqUmXiQlJTEd999h2XLljV580DL6dOnIRAIMHnyZGRkZMDV1RWlpaWQkpJCQEAALCwsaEcUe1lZWQgPD8fjx4+xceNGKCoqIikpCUpKShg4cCDteK1GbW0tLl++jNjYWFy4cAHS0tKwsrIS+T7k/DdevnwJQgirJ4HFWW5uLrMLql+/flBVVaWcSLyZmZnhxx9/hJmZWYOPnz9/Hhs2bBDrVW+2qL+//9R9Gxt2PPD5fKipqTGLnI8ePYKKiorINv+WamnNDeDbqNWrVyMhIQHy8vLMNrw7d+6gpKQEEyZMYGZzAVC/qWmqd289tvXwbW2uXbuGpUuX4vr167SjNEhXVxfV1dUghKBdu3Yiu0jYtpW33vv375GXlwegrhCfjIwM5UTNV1FRgZycHCgpKbG61ZK4SE5OhpubG4yNjXH16lWcOXMGKioq2LdvH/766y/s3LmTdkSxVz+pmpCQgLKyMpiYmGDSpEkwNTVl5aSZOCsqKkJNTY3I7pzCwkJISkqyrmWpOE6e/f777zAxMaG+EtjarF69Gvfv30dkZKTI37ampgbffPMNNDU1sXbtWkoJW4+VK1c26/XLhl1fzf0OXrBgwRdOUocbwLdRM2bMaNbzeDweDh069IXTcNji41lOQghevHiB06dPw8TEBJs3b6aUrGmfKqA2efLkFkrCYYtXr15h69atuHbtGkpKSpgez/XYNqnj6OgIKysruLi4wMDAAHFxcVBRUcGdO3cwf/58XLp0iXZEscfn86Gnp4dJkyZhwoQJ+Oqrr2hHarW+//57WFpaimz1j4yMxNmzZ1nVCUJcJ8/09PQgJyeHKVOm4Ouvv2YKmXH+nadPn2Ly5MlQUlLCzJkzmdXh7Oxs7N27F8+ePUN0dDT39+ZQxQ3gORwO4+MtYxISEujatSuGDx+OWbNmMUXMOJ/Pycmp2c9l66TZ6dOnGx0Qs2GL24cWLFiA+/fvw8HBAYqKiiKz/Gyb1Plw0P7hz/n5+bCyssKdO3doRxR7ubm5IoUjOV/G0KFDER4eLrI19u+//8a0adNYtZtLXCfPysrKEBMTg5MnTyIrKwvDhw+Hg4MDzM3NWVW9WxxlZGRgxYoVePjwIfPdQQjBgAEDsGnTJtbuyuC0Hdw7nAOgbsbx5cuX0NTUZF0RO07LaQ1nuoqKiiAQCISusWGmvE+fPszPhBDEx8dDTk4Oenp6AOpWhEtLS2FtbU0rYpMCAgIQGhoKQ0PDBgfEbJOSkoJff/0VBgYGtKM0S8eOHVFaWirSOzsrKwsKCgqUUrUu4jZ4FwgE0NPTQ3R0NDQ0NGjH+SwCgUBkkg+o62ZRUVFBIVHjHj582GBlfDk5OVYXK+vSpQucnJzg5OSE27dvIzIyEl5eXpCWlsbkyZNhb28vdq95ttDU1ERcXBwyMzPx6NEjEELQt2/fZh3pZIOUlBTk5OQAqKuLYGhoSDkR57/GDeDbmISEBJSWlmL69OnMtXXr1uHo0aMAABUVFRw+fBjdu3enFZHD+Wzl5eXYsGED4uPjRQbvAFhRH+HD1oxbtmzBhAkT4Ofnx9SbqK2thZ+fHzp06EArYpNiYmIQEBDAumKRjenSpQu6dOlCO0azjRs3Dtu3b0dISAhzLTc3F4GBgaytRp+VlYX+/fvTjtFsAoEAu3fvxqlTp/D06VORzhVs+Jz4UPv27dG9e3fWT5Y1RFNTE7GxsfDw8BC6HhMTw7rJiNYweaarq4s+ffpARUUFISEhCA0Nxf79+zFq1Cj4+PiI/H/jNA+fzxebQTsAvHjxAgsXLsStW7eYOhPFxcXQ19dHSEiI2LyeOZ8m8emncFqTI0eOCBWoS0lJwZEjR7Bo0SIEBweDx+Phl19+oZiw9Thy5AjevHlDO8ZnWbVqVYP/vLy84Ofnh9DQULx48YJ2TBEBAQG4c+cOtm/fDmlpaWzZsgVLly6FoqIitm7dSjueiOjoaHz//fdC70UJCQk4OTkhKiqKYrLGCQQCaGtr047RbG5ubti9e7fYtBf08PBAZWUlRowYgYqKCmZbr4KCAhYtWkQ7XoMmTpyIb775BidPnmT6fbPZzp07ERkZiRkzZoDH42HZsmVwcHCArKwsVq9eTTteg5ydnbFr1y5UVVXRjvJZ5s+fj/3792PRokUIDw9HeHg4Fi1ahIMHD2L+/Pm04wmpnzx79+4dc43tk2cfSk1NxfLlyzFq1CicOHECCxcuxKVLl5jaMAsXLqSckNNSNmzYAIFAgDNnzuDKlSu4cuUKEhISUFVVhY0bN9KOx/kPcWfg25jhw4dj3759zPmdDRs24O+//2YKyly8eBEbN27Eb7/9RjNmqzB69GiUlZXBwsICDg4OGDJkCO1InzRz5kykp6eDEMKsrGVnZ4PH44HP5yM7OxtVVVU4evQoq1ZRTE1NsXnzZhgaGsLAwAAxMTFQU1NDTEwM4uPjWXc+e/Dgwdi6dStMTEyErv/xxx9YtmwZbt68SSlZ49avXw8l8mn7AQAAIABJREFUJSX88MMPtKM0atasWUK/p6enQ1paGv369ROpMs6210S9lJQU3Lt3D7W1tdDW1sbw4cNpR2pUdnY2IiMjERcXh6qqKlhbW8PBwYG1Ez1jx47Fjz/+CFNTUxgYGCA2Nhaqqqo4ePAgbt++jaCgINoRRcycORN//vkn2rdvj/79+4v0SGbr6xgArly5gp9++gn3798HAAwcOBBz587FqFGjKCcT9vbtW8yePRv37t1DRUUFs3Xe0NAQu3fvhrS0NO2IDdqzZw9OnjyJgoICmJmZ4ZtvvoGxsbHQc54/f44xY8Yw/w04rduQIUOwb98+5mhevfT0dMycORM3btyglKz1ePnyJeTl5Rt87OHDhxgwYECL5OC20Lcx5eXlQi2f/vrrL6H+zQMGDEBRURGNaM129+5d5OXlwdTUFB06dMC7d+8gJSXFuqItv//+Oy5evIgTJ07A2dkZqqqqsLe3h52dXaNvftpGjBgBGRkZbNq0CZ06dQJQ95rx8vLCoEGDsHfvXri7u2Pz5s3Yv38/5bT/59WrV8wWwU6dOqGsrAxA3UD5w63rbGFlZQVvb294eHhAX18fQN17cevWraxa8flwcCAvL4/du3cjPT0dfD5fZED88eCZho9bU40dO5ZSkn/OyMgIRkZGtGM0S79+/bBq1Sp4eHjgt99+w8mTJ+Hg4IABAwbAwcEBtra2zOcIGxQVFTE3Vx06dEB5eTmAuuKdHx5dYBMFBQWMHz+edox/ZOTIkRg5ciTtGJ/UsWNHhIWFidXkGQAcP34cDg4OmDp1aqNt+eTk5LBhw4YWTsahpaampsF2tDIyMqipqaGQqPVxc3NDWFiYyN85KysLLi4uuHbtWovkYNeIh/PFKSoqIjc3Fz179kRFRQUyMzOxfPly5vE3b96wdrb55cuXmDdvHtLT08Hj8XDu3Dl06NAB/v7+kJGRgbe3N+2IQiQkJGBubg5zc3O8ePECUVFRCA8Px7Zt22Bubg4HBweR2XLaDhw4gH379gnddHfq1AkLFiyAq6srXFxcMGfOHMycOZNiSlFKSkooLCyEkpIS1NTU8Mcff0BHRwc3btxgZeV8Hx8fSEtLw8fHh9niLSkpCQcHB6H3I23Hjh0T+r1jx464e/cu7t69K3Sdx+OxYgDPhl6x/0RlZSXy8vKgqqoKaWlpZGZmIjQ0FO/evYOFhQVsbGxoR2xS+/btMWHCBFhaWuLYsWPYtGkT1q5di4CAANjZ2WHJkiWQlZWlHROKioooKSmBkpISlJWVcfPmTQwcOBDZ2dmsLd4qrq/piooKEEKYHQNPnz7Fb7/9hn79+mHEiBGU0zVMnCbPAOD8+fOffI6UlBTrOm5wvpxBgwZh69atCAoKElqE2bZtGwYPHkw5XesgJyeHBQsW4JdffmEWDnNycvD999+3aBFibgDfxowZMwZbtmyBu7s7kpKS0KVLFwwaNIh5PDMzE2pqahQTNs7f3x+dO3fGtWvXYG5uzly3tLRk/QyzoqIiLCws8OrVKxw5cgQpKSk4f/48VFVV4e/vD11dXdoRAdS1pWno3P6bN2+Y67KysqisrGzpaE0aN24cUlNTMWjQIDg5OWHJkiWIjIxEcXExZs+eTTueiPrBu7u7O/Ly8gAAqqqqrCtg1xq6EtS7ceMGSkpKYGhoyKr+3+np6XBzc0NZWRm6deuG4OBgzJ07F127doWkpCSWL1+OyspKTJ06lXbURuXn5+PEiROIjo7G27dvMWXKFDg4OKCwsBC7du3CvHnzcOTIEdoxYWRkhPPnz0NHRwdff/011q1bhzNnziAjIwO2tra04zXpyZMnTFVpdXV11hclmz9/PszMzDB9+nSUl5fDwcEBtbW1KCsrg4+Pj0h/eNrCw8MRFhaGJ0+e4PTp01BRUcGePXvQq1cvVhfuzMrKQnh4OB4/foyNGzdCUVERSUlJUFJS4lqd/UtTp06Fo6MjrK2tWbkQ0BAvLy+4urrCxMSEOQaZlZWFzp07M0dlOf/Ojh074OzsjJUrVyIwMBCPHj2Ci4sLLCwsWnYhkXDalNLSUvLdd98RDQ0NMmjQIPLbb78JPf7dd9+RrVu3UkrXtBEjRpCMjAxCCCH6+vokLy+PEEJIXl4e0dfXpxmtUe/fvydRUVFk2rRpRFNTkzg5OZH4+HhSVVVFSkpKiJeXF7GwsKAdkzF//nxibW1Nbty4QaqqqkhVVRW5ceMGsbGxIQsWLCCEEJKYmEhsbW0pJ23arVu3yP79+8nFixdpR+G0sMOHD5Ndu3YJXZszZw7R0NAgGhoaZNiwYSQ7O5tSOlFOTk5kyZIl5OHDh2TTpk3EyMiIbNmyhXk8JCSE2NnZUUzYuPj4eOLi4kI0NTXJlClTSEREBHn79q3Qc/Ly8sjAgQMpJRRVW1vL/JyQkEDWrVtHwsLCSHV1NcVUjXvz5g1ZsmQJ8/rV0NAgfD6fLF26lJSXl9OO1yhDQ0Py4MEDQgghJ0+eJNbW1kQgEJCYmBgyYcIEyumEHTp0iAwfPpzs3buX6OjoMPcW0dHRZPr06ZTTNe7atWtEW1ubuLm5ES0tLSb33r17yfz58ymnE3+bN28mI0aMIPr6+mTVqlUkPT2ddqRmef/+PYmIiCD+/v7E39+fREREkIqKCtqxWpWSkhIyfvx4snLlSjJ69Gji4+PT4hm4AXwbVVZW1uANS2lpKamsrKSQ6NP09fVJbm4u83P9l9Xdu3fJkCFDaEZrkI+PDxkyZAgxNDQkmzZtIo8ePRJ5zosXL4iGhkbLh2tESUkJmTVrFtHQ0CCamppEU1OT8Pl84ubmRkpKSgghhKSlpZHk5GTKSf9PVVUVWblyJfN6EBfXr18nPj4+5IcffiAzZswQ+scWvr6+zCDB19e3yX9sMXXqVBIdHc38npSURAYOHEhiY2PJnTt3iL29PVm+fDnFhMKGDh1KHj58SAipu/Hi8/nk/v37zOOPHj0igwYNohWvSQYGBsTHx4fcvXu30ee8f/+ehISEtGCqz1daWkrCw8Npx2iQt7c3MTc3J5cvXyYVFRWkoqKCXLp0iZibm1O5aWwuHR0d8vTpU0IIIcuWLWMWBp4+fUr09PRoRhNhZWXFLGZ8eG/x4MEDYmhoSDNakxwcHMiBAwcIIcK5b9++TUaNGkUxWeshEAhIYmIimTVrFtHU1CQ2Njbk4MGD5NWrV7SjNSg1NZUIBAKR6wKBgKSmplJI1Hrl5+eTkSNHkh9//JHK/z63hb6N6ty5c4PX2bS19GN6enpITEyEm5ub0PWwsDBWnu159OgRfH19YWFhASkpqQafIycnh0OHDrVwssbJy8tjz549yM3NFdqu2bt3b+Y5bKum3759eyQmJmLevHm0ozRbbGwsvL29YWZmhuvXr2PMmDF49OgRCgsLW/QM1afk5OQwhW/qXw8NYVOf6idPnkBTU5P5/Y8//oCpqSmzRXrp0qWsqpdRVlbGFLWUkZGBjIyMSA2KD9tbscnly5c/ubVURkYGCxYsaKFE/0xhYSHWrFnDum3dAJCUlIRt27YJFVQbNWoU1q1bh6VLl2Lt2rUU0zVOSUkJf/75J8aMGYOrV69ix44dAOoKjjZUZIum/Px8oc+MetLS0qx97wF1Fa8DAwNFrtdX0ef8e5KSkrCwsICFhQWeP3+O48ePIzAwEEFBQRg7diycnZ1ZcwQSAJycnHDlyhV07dpV6PqbN2/g5OSEjIwMSsnEm66uboP3OdXV1YiNjUVcXBxz7datWy2SiRvAc8TGsmXL4OzszAwq9u7di6ysLGRmZuLo0aO044k4fPjwJ58jKSmJYcOGtUCaz9O7d2+hQfujR48QERGBFStW0AvVhNGjR+PKlSuYNm0a7SjNsnfvXnh5eeHbb7+FgYEBPD090atXL/j4+LCqQ8GHr+GmXs9paWktEadZKioqhAbAt27dEiripKamhpKSEhrRGsWmCZDPMWTIkAZvFktLS2FsbMzdLP4H3r17B0VFRZHrioqKeP/+PYVEzePi4gJPT0906NABysrKzMRvWlpai7VZaq6ePXsiOzsbysrKQtdTUlKEvgfZpmPHjigtLRWph5CVlQUFBQVKqVqnvLw8REZGIjo6GjIyMrC1tcXz58/x7bffYs6cOayZpCSENPh9Ul5ezrqJM3GyZs0a1n1PcwN4jtjQ1dXF8ePHsX//fqiqqiItLQ1aWlpYu3Yt+vXrRzseACAmJqbZz7Wzs/uCSf69qqoqnD17FpGRkUhLS4OKigprB/BDhw7Fjh078ODBA+jo6Ij0SmZbEaInT54wvZClpKTw7t078Hg8uLi4wMXFBYsXL6acUNTbt2/Rrl07oZuAe/fuYdu2bbh69SprBms9evTAgwcPoKysjLKyMmRnZzOt+oC6bhZsam0G1E1O1rflq6qqgpeXF/N3FggENKM1iRDS4HWBQMC6tp7iSktLC/v27cP69eshISEBAKitrcW+ffugpaVFOV3jvvnmG2hpaaGwsBDGxsZMdmVlZSxatIhyOmHTpk3D+vXrmQ48+fn5SElJQVBQEDw8PCina9y4ceOwfft2oRaIubm5CAwMZFU7UnH14T3QzZs3oaenBw8PD1hZWTGvlT/++APLli2jPoBftWoVgLrJ4A9fy0Dd58W9e/egra1NK57YmzJlCu0IIrhvWI5YGTBgADZt2kQ7RqNWr14t9HtNTQ1qamqYmTtCCNq1awdJSUnWDuCzsrJw/PhxxMXF4c2bN7C3t8fy5ctZtU3sY+vWrQNQV0k4PDxc6DEej8e6AXznzp2Z1TMFBQXk5uZCQ0MD79+/x9u3bymnE/b8+XMsWbIE6enpaNeuHb777jssW7YMa9asQUxMDExNTVlRYbyelZUVNmzYgKKiIly6dAk9evQQeu3evXsXffr0oZhQ2Mctnhqqhs62z4r6iUoej4czZ84ITYjU1NTg+vXrrO1mIm48PDwwc+ZMXL9+nZmISk9PR2lpKeurSuvo6EBHR0fo2ocdZNjCxcUFr1+/xpw5c1BRUYHvv/8e0tLSmDVrFhwcHGjHa5SHhwdmz56NESNGoKKiAo6OjigtLcWwYcNYN0kijkaMGAEejwdbW1usXr2aqer+IQMDA1a0yCwqKgJQd49ZUlLCTAgDdccMhw8fDhcXF0rpWqdnz56huLhYZCK7pe6VeaSxKXQOh6Vov2ma68qVKwgKCsKKFSuYVn1//vkntmzZgqVLlzIrsGxQUVGB+Ph4RERE4MGDBzA3N4etrS3mzZuH2NhY1uxwaC0WLlwIIyMjTJ8+HYGBgUhISICtrS3Onz+P7t27Y+/evbQjMlasWIH79+/D0dERZ8+exc2bN6GrqwtlZWUsWLAAffv2pR1RSGVlJXx9fXH+/HkoKChg/fr1Qq0yZ8yYgdGjR7Oib724qv+sFQgEQjeKQN3NYq9evbBixQoYGxvTiCciISGhycefPn2KoKAg1uwi+VhRURHCwsLw999/A6irSzJ9+nTWb5MWt9ZsFRUVyMrKAiEE/fr1Y11bz8akpKTg3r17qK2thba2tlC9BM4/FxUVhQkTJojV1vNVq1bB29ubdbvMWpOMjAwsW7YMubm5IuMQHo/XYt8j3AC+jRLH/pZsedM0l42NDdasWSNS9C0tLQ2+vr6fvKlsSUOHDgWfz4etrS2srKyYD38tLS1uAP8F5Ofn4927dxgwYAAqKiqwefNm3LhxA3369IGXlxd69OhBOyLDxMQEQUFBGDJkCJ4/fw4TExPMmzePW+HhwMzMDCdOnGBV3YaG8Pn8Tz6Hjd8h4uzw4cP4+eef4erqiu3btyM+Ph4qKiqIiYnBiRMnEBYWRjuiWKusrEReXh5UVVUhLS2NzMxMhIaG4t27d7CwsICNjQ3tiK1GaWkp8vLyoKmp2WhBYk7bYW9vjy5dumD+/PlQVFQUORv/cS2NL4XbQt9GGRoaYseOHfD394eVlRUcHR2hp6dHO1aTVq9eDSUlJWzYsKHBNw3b5OXlNVjV/6uvvkJ+fj6FRI2rra0FAEhISLD+79qY169f4/Lly3j69CmqqqqEHqN9Pu1jvXr1Yn6WkZGBr68vxTRNKyoqgqqqKgCge/fukJGRYeXqGaflXbhwgXaEZsnMzKQd4bPcvn272c9l286zeseOHcPatWsxduxY7Ny5k7k+cOBAZGdnU0xW53N24Pz6669fMMnnS09Ph5ubG8rKytCtWzcEBwdj7ty56Nq1KyQlJbF8+XJUVlZi6tSptKOKtbdv3+LHH3/EmTNnwOPxcO7cOaioqGD16tVQVFRk3X0Fp2VkZWUhKiqK+u5DbgDfRnl6emLZsmW4cOECTpw4gWnTpkFdXR329vaYNGkSK870fIwtb5rm4vP52LZtG7Zs2cLscnj79i2Cg4OhoaFBOZ2wy5cvIz4+HuHh4Vi/fj3Gjh2LSZMmic1g/vbt25g1axYkJCTw+vVrdOvWDcXFxZCRkUGPHj1Y80Xb3POf58+f/8JJmq+2tlaoIBmPxxMqkMNp28Rp4kxcODg4gMfjNVoksB6bdw2wvTVbt27daEf4x7Zt24YRI0Zg3rx5iIqKwsKFC+Hg4IDly5cDAHbu3ImwsDBuAP8vbd26Ffn5+YiIiICzszNz3dTUFNu3b+c+39qo3r17o6ysjHYMbgDflolbf0u2vGmay9fXF7Nnz4aJiQmzBT07OxvS0tLYs2cP5XTCOnToAHt7e9jb2yMzMxMRERFYunQpqqurcfDgQdjb27PqtfCxgIAAjB8/Hn5+fhg0aBCOHDkCKSkpLFu2DDNmzKAdj1FQUAAlJSXY2NiI1Rm1pqqk12PbKhXnyxOXiTNxw6YJvH+K7a3Z/P39aUf4xzIyMnDkyBH0798fixcvRmhoqNCWeRsbGxw4cIBiwtbhwoUL2LZtm8i9j7q6Op48eUIpFYe2H3/8EUFBQY0WNmwp3ACeIzb9LdnypmkuLS0tJCUlIS4uDjk5OQDqag/Y2NiItDljEz6fj9WrV8PT0xPx8fGIjIyEg4MDlJWVWXtjmZGRwfTplJCQQFVVFVRUVODh4QEvLy9YWlrSjggA8PPzQ2RkJA4fPgxLS0vY29sLFVhjo+ZUSee0TeIycSZuPhz01tTUoF27dhTT/DPi2ppNHJSVlTF1J2RkZCAjIyM0IdypUydW7HIQdy9fvkTXrl1FrldUVHxydwyn9frhhx9QXV0NW1tbtGvXTuTz+datWy2SgxvAt1Hi0t9SV1dXaBu3QCCg/qb5HDIyMqxuQ9MUGRkZTJ06FVOnTsXDhw8RGRlJO1Kj6lvzAUDXrl3x/PlzqKurQ05ODk+fPqWc7v84OjrC0dERmZmZiIyMxJw5c6CgoAB7e3vY2dk1WDOBNnFeqRI3WVlZCA8Px+PHj7Fx40YoKioiKSkJSkpKGDhwIO14IsRl4kycmZiYMJ/D9bUoxIE4tGYrLCzE/v374eXlBQCYOHGi0MC3Xbt2CA0NhZKSEq2IjRKX423iTENDA8nJyVBRURG6furUKZH2iGxx7949SEpKMsc0L1y4gJMnT6Jfv36YP38+V4TvP+Dn50c7AgBuAN9miUt/y/qbQ3FVXV2NO3fu4OnTpxAIBEKPsa23c1MGDBgAb29v2jEaNWDAAGRkZEBNTQ16enrYvXs3eDwejh8/zqqe3/X4fD58fHzg6emJs2fPIiwsDNu2bcPVq1fFams957+TnJwMNzc3GBsbIyUlBZWVlQCAx48fIyYmRqgQGFuIy8SZOJs7dy5OnjyJPXv2YNiwYXB0dMTYsWPF4kZ88eLFmD17Nmtbsx07dkyobkN+fj6mTZvGTKReuHABhw4dwsqVK2lFbFRTx5o+vtfg/DMLFizA4sWLUVhYiNraWpw+fRo5OTk4e/Ysa48o+Pr6wtXVFRoaGigoKMCSJUswatQonDp1CpWVlax8LYubj3cl0sIN4NuoVatWfbK/ZZcuXahXGZ4yZQrV//1/Izc3F7Nnz0ZeXh6Auhnz2tpa5qZXnAbwbPfDDz/gzZs3AP7vpvH777+HvLw8duzYQTld4x48eIC0tDTk5ORAXV1dqFgcp20JDg6Gu7s7XFxcYGBgwFwfNmwYDh48SDFZ48Rt4kwcTZ8+HdOnT8e9e/cQGRkJX19f+Pn5wc7ODvb29qxv8SkjI8Pa1cpLly4xq+/1pk2bxqy48vl8bNmyhUa0JjXnWBN3f/HvjR49Grt27cLPP/8MCQkJ/PLLL9DS0sKvv/6KoUOH0o7XoNzcXGa3VmJiIvT19bFr1y6kpqZixYoV3AD+HyopKWGOU5SUlDT53IaOXXwJ3N1iG1U/MBan/papqakA6m5oP77O4/FY94Hq7++P/v374+TJkxg1ahSio6Px+vVrrF27FitWrKAdr1V49eoVVq5cicuXL6O2thZHjx5FYGAg4uPj8erVK8jKyrJuB8ebN28QGxuLiIgIFBQUwMbGBocPH4aWlhbtaByKHj58iMDAQJHrcnJyKC0tpZDo0+bOnctsOWbrxJmVlVWzPwMSEhK+cJp/TktLC1paWli1ahWOHTuGoKAgHDp0CHp6enB2doaVlRXtiEIqKysRGhqKa9euoaSkhGlVWo8Nf+unT58KtfTU0tISug/q06cP61q+AtyxppZkbGwMY2Nj2jGaraamBhISEgCA69evw8TEBACgoqLyyYEnp3EjR47ElStX0LVrV2YH88cIIS3aGYQbwLdR4tjfctOmTZg7d67I9Tdv3uCnn37CyZMnKaRq3K1btxAaGopOnToxq+/1tQb8/f0RHR1NO6LY27ZtG27duoWFCxdCWloaR48eha+vL/bt28fK8+QeHh5ISkoCn8+Hi4sLrKysWF3QkNNyOnbsiNLSUpHzlllZWVBQUKCUqmG1tbWQkJAQurHt1auX0MTZ48ePKSb8P9bW1rQj/GeSk5MRGRmJ3377DSoqKrC3t0dhYSF+/PFHJCcnY+3atbQjMtauXYtz587B0tISQ4YMYd1EKlA3yfDmzRv07NkTABAWFib0OFcIjiNuNDQ0EB4ejjFjxiA5ORnu7u4A6uo9yMnJUU4nvg4ePMgcKT548CArPs+4AXwbJY79Lf/++2/w+XyR6wMGDMDff/9NIVHTqqurmf7vcnJyKCkpQd++fdGrVy9W5hVHly9fxoYNG2BmZgYAGDVqFGxtbVFdXc3K7einT5+GkpISOnfujDNnzuDMmTMNPo9rydb2jBs3Dtu3b0dISAhzLTc3F4GBgaxbXfX29m50FfCrr77CkydP4OLigt9//71lgzWAjd9ln+P58+eIiorCyZMn8eLFC1hYWGD//v1CO84mTJgAZ2dnVg3gk5KSsG3bNowcOZJ2lEYpKyvjwYMHGDBgQIOPZ2RkiLTB47RuHxdObgobCye7u7tj/vz52L9/P+zs7JjX9sWLF1l7lEUcfLjz18DAANXV1dTrebDvDpfTIsSxv6WUlFSDK1QlJSWsbLPTt29f5OTkQEVFBZqamjh69Ci6d++OQ4cOoUePHrTjNUqcCu89f/5caOt5v3790L59e7x48YKVlYPt7OxYMXPLYR8PDw/Mnj0bI0aMQEVFBRwdHVFaWgpDQ0MsWrSIdjwhFy5cQFBQELO686Fnz57B2dlZrCqms9mYMWOgpqaG6dOnw87OrsFVNHV1ddbdnEtKSgptT2cjMzMzhISEwNzcXORmvLy8HLt27eI6KbQx4l44eejQoUhOTkZ5eblQEeqvv/6a2+33L318ZFNPTw+BgYHUPud4hGtm2Cbp6enh9OnTUFFRgYGBAeLi4qCiooIHDx7gm2++wV9//UU7ooiFCxeiqqoKISEhzDm1qqoqLFiwAJKSkvjpp58oJxR2+vRpCAQCTJ48GRkZGXB1dUVpaSmkpKSwZcsWjB8/nnZEEZ8qvMe2GWc+n49r164xPXEBCL2eORxxk5KSgnv37qG2thba2toYPnw47Ugibt68CVdXVyxbtgxOTk7M9RcvXuC7776DvLw8Dhw4wIobxgkTJuDo0aP46quvPnkeng3nsj92/fp1GBoa0o7x2Xbu3Il3797B09OTdpRGvX79GnZ2dqiursaMGTPQt29fAEBOTg4OHz6M9u3bIzo6mpXHsTgcTsvy9fXFuXPn4OzszBzZVFVVxb59+6jk4Vbg2yhx7G/p4eGBadOmYdy4cRg8eDAA4M8//0RlZSWOHj1KOZ0oGxsb5mdNTU1cuHABOTk5UFJSYu1ZJHEsvPdhOx1AtKUOwG1J54gPIyMjGBkZ0Y7RpMGDByMoKAiLFy9Gt27dMGHCBJSUlMDZ2RmdOnXC3r17WTF4B+oG8NLS0szP4ra6Jo6Dd6BuMufs2bNISUmBpqam0Gc0ULfSSZusrCyOHTuGNWvWIDg4mCm0JyEhgdGjR8PX15cbvHNY78NJ1E85dOjQF0zSurHtyCY3gG+jxLG/pZqaGmJjYxEWFsZUebSzs8O3334LRUVFyuk+TUZGBlpaWnj8+DHmzp2L8PBw2pFEiFvhvYb6cTbUUofDEQd//fVXo1W72TDg+ZC5uTl8fX2ZtkQ///wzJCUlsX//fnTq1Ilyuv9TfwaeEIKpU6dCXl6+yfapbBQdHY3Tp0+joKBA5FjT+fPnKaVq2qNHj6ChoQEAzI6uemyaROnRowd++eUXvH79mim8qKamJrT9mNN26Onp4eLFi5CXl//keXi27Ej8sGUnIQTx8fGQk5ODnp4egLqcpaWlraqgJw1sO7LJDeDbKHHsbwkACgoKWLp0Ke0Y/8r79+9Z88H/MXErvMe10+G0FgcOHMDmzZuhpqYmMiHJpgHPh+zt7VFcXAx3d3f07t0bR44cYe2KJSEEFhYWOHXqlFj1qD9w4AB27twJBwcHpKamwtHREbm5uUhPT4eLiwvteI06fPgw7QifRVZWVqQmEKftWbNmDTMBKS7n4f38/Jift2zZggkTJsDPz4/IrXhCAAAgAElEQVRpJ1dbWws/Pz/qRdfEXU1NjchOIgkJCdTU1FDJww3g2zBx628J1LVUCg8PR15eHjZs2ABFRUUkJSVBSUkJAwcOpB1P7Ilr4T0OR9wdPHgQXl5en7UdkpZZs2YJ/S4pKYn//e9/Isds2HR0RUJCAsrKyigvL6cd5bMcP34ca9euhbW1NcLDw+Hs7AwVFRUEBwdzfZ05nP/Yh7v6pkyZQjHJPxMdHY0jR44wg3eg7rPPyckJ3377LWuPQooLNh3Z5AbwbRwhBKWlpfi4lmHXrl0pJWpccnIy3NzcYGxsjOTkZFRWVgIAHj9+jJiYGOzcuZNyQvHn5OSE0tJSAMD8+fPh6uqK8ePHQ0pKCgEBAZTTcTit1+vXrzFmzBjaMZqlW7duQr9/WO+DzRYsWIDAwEAEBgZCQUGBdpxmefbsGfT19QEA0tLSePv2LYC642OOjo7w9fWlGa9JqampjW79587icjj/vaqqKjx58oQpyFgvPz8f1dXVlFK1Dmw7sskN4NuogoICrF69GtevXxfa/kEIAY/HY86Ys0lwcDDc3d3h4uICAwMD5vqwYcNw8OBBislaD3EsvMfhtAbm5uZITU0Vi+4J4np05aeffkJhYSFMTU2hqKgoUmiPjVXo5eXl8ebNGwB157UzMzPB5/NRVFREbetmc8TGxsLb2xtmZma4fv06xowZg0ePHqGwsJA7i8thNXNz82Y9j431J6ysrODt7Q0PDw9m4u+vv/7C1q1bYWVlRTmdeGPb9x43gG+jvLy8UFZWBn9/fygqKorFOZ+HDx8iMDBQ5LqcnByzaswGH28v/Vj9Coo4qC+8x+Fw/nsfDhiHDBmC4OBgZGdng8/ni5y1mzBhQkvHa3XEqQq9k5MTdu7ciSFDhuDy5cvg8/mYMGECNm7ciKtXryIlJQWjRo2iHbNRe/fuhZeXF7799lsYGBjA09MTvXr1go+Pj1DbTw6HbQoKCqCkpAQbGxtWFeRsDh8fH0hLS8PHx4dZcZeUlISDgwOWL19OOR3nv8QN4Nuo27dv49ixY+Dz+bSjNFvHjh1RWloqskKVlZXFqu2QH28vbehxNTW1Fkrz+U6fPt1oJWw2nWnlcMTdsmXLRK411AWEx+NxA/j/wMKFC2lHaLbU1FQIBAL4+PigqqoKQN3ksISEBG7cuAEbGxvMnz+fcsrGPXnyhJlgkJKSwrt378Dj8eDi4gIXFxcsXryYckIOp2F+fn6IjIzE4cOHYWlpCXt7ewwaNIh2rGapH7y7u7sz3R9UVVW5AnatEDeAb6O6d+9OO8JnGzduHLZv346QkBDmWm5uLgIDA1m1NYht22w+R0BAAEJDQ2FoaCg2OzM4HHGVmZlJO0KbMmfOHNjZ2cHMzAxSUlK04zRLly5dmJ95PB5mzpyJmTNnUkzUPJ07d8b79+8B1HWPyc3NhYaGBt6/fy9Wu9A4bY+joyMcHR2RmZmJyMhIzJkzBwoKCrC3t4ednR1rO218qEOHDmK1QMf5fDzycfUyTpvw22+/ITIyEoGBgUI3CGz29u1bzJ49G/fu3UNFRQWzdd7Q0BC7d++GtLQ07Yhib8SIEfD29uZW+zicFlK/VVpcPofFmbu7O86fP4/27dvD0tISkyZNwpAhQ2jHahCfz8fp06c/WXuEjQVngbrdDkZGRpg+fToCAwORkJAAW1tbnD9/Ht27d8fevXtpR+RwmqWyshJnz55FWFgYHj58iKtXr7J2a31lZSVCQ0Mb3UXJxjofnH+GW4Fvo7Zu3YrCwkIYGxujZ8+eIuct2fgm79ixI8LCwpCSkoJ79+6htrYW2traGD58OO1orYZAIIC2tjbtGBxOm1G/VZrz5QUFBeHt27dITExEXFwcnJyc0LNnT9ja2sLOzo51R5smTpzY6GNsLjgLACtWrMC7d+8A1FX/f/v2Lc6fP48+ffrAy8uLcjoOp/kePHiAtLQ05OTkQF1dHZKS7B06rV27FufOnYOlpSWGDBnC7aJsxbgV+DYqJCSkyTf2ggULWjANhy3Wr18PJSUl/PDDD7SjcDhtAp/Px9WrV1m7ktqaPX/+HHFxcThx4gSePHmC+/fv047E4PP5CAkJgaysbJPPGzZsWAsl4nDajjdv3iA2NhYREREoKCiAjY0NHBwcWF/U19DQEEFBQRg5ciTtKJwvjL3TSJwvSpyK+Xzo0qVLCA0NRXZ2NgBAXV0dLi4uMDExoZysdZCTk8Pu3buRnp7eYCXsT1XY53A4n685XTS4Af5/ixCChw8fIjMzE8+fP2fllthBgwaJ7X93caw3wOEAgIeHB5KSksDn8+Hi4gIrKyuRlpNsJSkpiV69etGOwWkB3Ap8G2Vubo4TJ06InK8rKyvD5MmTWdnf8siRI9iwYQMsLCyYiqB//vknkpKSsHLlSnz33XeUE4o/MzOzRh/j8XisfF1wOOKMz+c3uRuK7VulxU1GRgZiY2Nx+vRpvHr1CqNGjYKdnR3GjBnDqoGmpqYmrly5IrYDeHGqN8DhfIjP50NJSQnq6upNPo+NXXl27tyJd+/ewdPTk3YUzhfGrcC3UQUFBSLFLQCgqqoKz58/p5Do0/bs2QNPT0+4uLgw15ycnHDw4EHs2bOHG8D/By5cuEA7AofT5uzYseOTW6U5/56NjQ1ycnKgra2NOXPmwNra+pNF4mgR97UVcas3wOHUs7OzE9uz4y9evMDZs2eRkpICTU1NkV2Ua9asoROM85/jBvBtTFpaGvPzX3/9JXTTWFNTg6tXr6Jnz540on3S69evMWbMGJHrpqam2LZtG4VEHA6H8++J81ZpcWJubo4dO3agb9++QtfLy8sRGxuL6dOnU0omqjW0GOzYsSOmTJmCKVOmCNUb2L17N6vqDXA4H9q0aRPtCP/Yo0ePoKGhAQBMH/h64jopwWkYN4BvY2bMmAEejwcej9dgobrOnTvD19eXQrJPGzlyJK5duyYyc3/t2jWuEv2/sGbNGixfvhwdO3b85OwsN3vL4fy3uJuqlrN06VKh32/evInIyEicPXsWEhISrBrAtybiUG+Aw2kNDh8+TDsCp4VwA/g25sqVKyCEYNSoUYiLi4O8vDzzWPv27Vm9jdPIyAjbt2/H3bt3oa+vDwBIT0/H+fPnsXDhQqHWd1wf8+bLyclBTU0N8zOHw2k54r5VWty8evUKMTExiIiIwKNHj2BiYgJ/f/8Gd3dx/p2G6g1s3ryZ+1tzOF9YZWUlswKvpqbGqvoenP8GV8SOIzb4fH6znscVfOJwOBzOh1JSUhAREYGkpCQMHDgQkyZNwvr16xEbG4t+/frRjtfqfFhvYNKkSayuN8DhtBbV1dUIDg7GoUOHIBAIQAiBtLQ0nJycsHjxYlb3sOd8Hu6/ZBuSkJCAsWPHQkpKSmi1uiFsXMFuDWcC2W7nzp1wdXUVaZlSUVGBvXv3NnjsgsPhcNjMwsICNTU1mDhxIuLi4tC7d28AwPr16+kGa8UaqzcAALW1tZCQkKCQisNp3bZu3YqoqCh4e3tj6NChAIDU1FQEBweDEAIPDw/KCTn/FW4Fvg3h8/m4evUqunbt2uRqNreC3XY11rqotLQUxsbG3OuCw+GIHS0tLdjY2GDy5MkwMjISus6twP+3TE1NER0dzay2r1ixAp6ensx3SnFx8f9r786jqq7zP46/rsqSCygiBmpujCQqR0JFcUfMMUcMtFFzyMYBFFwoPWY609hYkzPBnFEwzUxzgURSRAc444KZSTqJW2buIOaQM6IiQyrK8vvD4/11BVMK/Hrl+TiHc/h+P597v6/rP/K+n019+/bl/xKgBvTp00dvvvmmAgICLO5v27ZN8+bN0+eff25QMlQ3RuBrkR+OYFvraHZiYqLi4+P17bffKjU1Va1atdIHH3ygli1bPpKzBqzNnTOn75abmysHBwcDEgHAz7N161YlJSVp5syZsrGxUWBgoEaMGMEGgjXgwoULFkfUbt26VVOmTLH4UphxI6BmXL16tdIvJN3d3VVQUGBAItQU5jDVQrdu3dLs2bP17bffGh2lStasWaPY2FgFBQVZ/AHg4uKijz/+2MBk1s/f31+DBg2SyWTSyJEjNWjQIPPPwIED9Zvf/Eb9+/c3OiYAVFmLFi306quvaufOnZozZ46OHTumX/3qVyotLdU///lPXbx40eiItQpfnAA1o3379tq4cWOF+xs3bmSm0WOGEfhayMbGRlu2bFFkZKTRUapk7dq1mjdvngICArRo0SLzfU9PT50+fdrAZNZvzJgxkm6vnxoxYoTq169vbrO1tVXLli3ZORiAVatbt64CAgIUEBCg7777Tp988onWr1+vxYsXy8fHhyOYAFi1qVOnaurUqcrKylK3bt0kSVlZWTp06JDF382wfhTwtVS/fv20e/dujR071ugoD+z8+fPq2LFjhft2dna6du2aAYkeH+Hh4ZKkZs2aadiwYRw5AuCx5urqqmnTpmnKlCn67LPP9Mknnxgd6bFgMpkYYQcMMmjQIG3YsEErVqwwr3dv37693njjjQc+yQnWgQK+lurevbtiY2N14sQJdenSpcKu44/ienJXV1edPn1aLVq0sLi/d+9e867C+HmGDh1qPhNekvLy8rRt2za5u7urd+/eBiYDgOpXp04dDRw4kBlG1aS8vFzTp0+XjY2NJOnmzZuaM2eO7O3tJd1ewgeg5nTs2FHR0dFGx0ANo4Cvpd566y1JtzeFS0xMtGgzmUyPZAE/duxYvf3227Kzs5N0e0R+7969+tvf/sbRGNVk8uTJ8vf317hx41RUVKRf//rXKisrU2Fhod544w2NHj3a6IgAgEdUUFCQxXVgYGCFPs8///zDigPUKl9++aUkqUePHhXum0wm89FysH4cIwersnDhQn300Ue6ceOGpNvT58PCwjifvJr07NlTq1evVocOHZScnKwVK1YoJSVFaWlp+uCDD5SWlmZ0RAAAANwlODhYERERGjx4sMX9jIwMLV68WBs2bDAoGaobI/CwKlFRUZo4caJOnTql8vJyubu7W2y4hp/n2rVratSokSQpMzNTgwYNUr169dSjRw/NnTvX4HQAAACoTHZ2dqVr3Tt06KDs7GwDEqGmcIxcLVRcXKxTp06puLhY0u0z4V9//XVNmzZNqampBqe7v2vXrqlly5by8vKieK9mbm5uOnDggK5du6bMzEzzuveCggLzGkYAAAA8WmxtbXXlypUK9y9duqS6desakAg1hRH4WubQoUMKDw9XYWGhnJ2dtWDBAkVERKhp06aqV6+eZs6cqeLiYo0cOdLoqBYuX76smJgYbdu2TUVFRZKkRo0a6dlnn9X06dPl5ORkcMLHw8svv6zXXntN9evXV4sWLczHkOzbt08dOnQwOB0AAAAq4+vrq/fee09xcXHm04Ru3rypxYsXV1gXD+vGGvhaZvz48XJyclJkZKSSk5OVkpKi4OBgzZw5U5K0aNEiZWRkaOPGjQYn/X/Xr19XUFCQrly5ouHDh8vd3V3l5eU6deqUUlNT5ezsrOTkZEaIq8mRI0d04cIF+fn5qUGDBpJur59ydHQ0F/QAAAB4dOTm5mrs2LGysbGRj4+PJOnAgQMqLi7Wxx9/rLZt2xqcENWFAr6W6dGjhxISEvSLX/xCN27ckLe3t5KTk83nq589e1YjR47U/v37DU76/z788EMlJCQoMTFRzZs3t2j7z3/+ozFjxigkJEQTJkwwKCEAAABgrIsXLyo+Pl7Hjh2TJHl6eurFF1+Ui4uLwclQnZhCX8sUFhaap5vb29vL3t5eDRs2NLc3bNhQ165dMypepXbs2KHw8PAKxbskNW/eXGFhYUpLS6OA/4mWLVumkJAQ2dvba9myZT/aNyws7CGlAgAAQFU0a9ZMr776qtExUMMo4Gshk8lkdIQqyc7O/tGp2926dVNsbOxDTPR4Wbt2rUaNGiV7e3utXbv2nv1MJhMFPAAAwCPq1KlTSkxM1Llz5/TnP/9ZLi4u2r59u9zc3OTp6Wl0PFQTCvhaaPr06bKxsZF0e3OLOXPmmNeP37p1y8holSoqKlLjxo3v2d64cWPzxnaouh07dlT6OwAAAKzDnj17FB4eLj8/P+3Zs8d82lRubq5SUlK0aNEigxOiunCMXC0TFBQkV1dXOTs7y9nZWYGBgWrZsqX52tXVVc8//7zRMS2Ulpb+6PEXderUUWlp6UNM9Hi6deuWxo8fr5ycHKOjAAAAoAoWLFigGTNmaOnSpeaBOun2/ldfffWVgclQ3RiBr2Xmz59vdIQqKy8vt5g1cLdHcdaANbKxsdHx48c5KxQAAMDKnDx5UjExMRXuN2nSpNLz4WG9KODxyAsKCrpvn0dt1oC1GjJkiNLS0hQREWF0FAAAADygBg0a6MqVK2rVqpXF/VOnTqlZs2YGpUJNoIDHI88aZw1YK2dnZy1fvlz79++Xl5eXnnjiCYt2NrEDAAB49AwePFgLFy5UXFyc+d7Zs2cVExOjoUOHGpgM1Y1z4AGY+fv737PNZDIpIyPjIaYBAADAg/j+++81ceJEHT16VDdu3DBPnff19dXSpUtlZ2dndERUEwp4AAAAAHgM7N27V0ePHlVZWZk6d+6sXr16GR0J1YwCHgAAAAAAK8AaeAAWUlNT9cUXX+jSpUsqKyuzaFu2bJlBqQAAAHC348ePq6CgQD179jTfS0tL09///nddunRJzz77rN566y3Z2toamBLViXPgAZhFR0dr1qxZunDhgpo0aSJnZ2eLHwAAADw6FixYoKysLPN1dna2Zs2apdatWys4OFhbt27VypUrjQuIascIPACzlJQURUdH67nnnjM6CgAAAO7jm2++0cSJE83X6enpateunZYvXy5J8vDw0Jo1axQeHm5URFQzRuABmN26dUudO3c2OgYAAAAewJUrV/Tkk0+ar/ft26eBAwear319fZWXl2dENNQQCngAZoGBgdq+fbvRMQAAAPAAHB0ddenSJUlSeXm5vv76a3Xp0sXcXlZWJvYsf7wwhR6o5X64MZ2Tk5OWLl2qQ4cO6emnn5aNjY1F37CwsIcdDwAAAPfg7e2tFStW6C9/+YvS0tJ08+ZN+fr6mttzcnLk5uZmYEJUN46RA2o5f3//B+pnMpmUkZFRw2kAAADwoE6ePKnx48fr6tWrKi8vV2RkpKZOnWpunzFjhhwcHDR37lwDU6I6UcADAAAAgJW6fPmyDhw4IBcXF3l5eVm0ffrpp3J3d1erVq0MSofqRgEPQJKUl5cnZ2fnCueE3rx5U/n5+Uy/AgAAAAzGJnYAlJ6ertDQ0Hu2h4aGasuWLQ8xEQAAAIC7UcAD0Lp16zRhwoQKo++SZGtrq9DQUK1du9aAZAAAAADuoIAHoDNnzqh79+73bPfx8dHp06cfYiIAAAAAd6OAB6DCwkKVlpbes72kpESFhYUPMREAAACAu1HAA5Crq6uOHz9+z/bjx4/L1dX1ISYCAABAVZSWlio/P1/5+fk/OjAD61bP6AAAjOfv76+FCxdqwIABql+/vkVbUVGR4uLiHvi8eAAAADw8GRkZWr58uY4cOaKSkhJJUt26deXl5aXQ0FD+hnvMcIwcAF25ckXBwcEqKSlRSEiI2rVrJ+n22vj4+HjVq1dPycnJatKkicFJAQAAcMeGDRv0xz/+UcOGDVPfvn3l7OwsSbp06ZJ27dql9PR0zZs3T8HBwQYnRXWhgAcgSbpw4YLefPNN7dq1S2VlZZKkOnXqqF+/fpo7dy5T6AEAAB4xQ4YM0UsvvaRx48ZV2p6QkKBVq1Zp69atDzkZagoFPAALV69eVW5uriSpdevWcnR0NDgRAAAAKtOlSxdt3rxZbdu2rbQ9JydHgYGBOnLkyENOhprCJnYALDg6OsrLy0teXl4U7wAAAI+wNm3aKD09/Z7t6enpatOmzcMLhBrHJnYAAAAAYIVeeeUVTZs2TV9++aV69+5tXgOfn5+vL774QllZWYqNjTU4JaoTU+gBAAAAwEodPnxYq1at0sGDB3Xx4kVJUrNmzeTt7a2XX35ZXl5eBidEdaKABwAAAADACrAGHgAAAAAAK0ABDwAAAABWaufOnYqOjtauXbskSZmZmRozZoyCgoK0atUqg9OhulHAAwAAAIAVSklJ0eTJk7Vnzx5FRUUpOTlZUVFR8vT0lJeXl2JiYvSPf/zD6JioRuxCDwAAAABWaOXKlZo1a5ZeeuklZWZmavLkyYqKitJvf/tbSbePmUtISNDw4cMNTorqwgg8AAAAAFih3NxcDRw4UJLk5+enkpIS9erVy9zer18/nT171qB0qAkU8AAAAABgherWravS0lJJkslkko2NjRo0aGBut7Oz0/Xr142KhxpAAQ8AAAAAVqhly5YWI+zp6elyc3MzX+fl5cnFxcWAZKgprIEHAAAAACv04osvymQyma9dXV0t2jMzMy2m1MP6mcrLy8uNDgEAAAAAAH4cU+gBAAAAALACFPAAAAAAAFgBCngAAAAAAKwABTwAALVQWFiYPDw8tG7duiq97tixY4qLi1NRUZHF/fPnz8vDw0ObNm164Pfavn27Vq9e/UB9k5OT5eHhoT59+ujGjRsWbf/617/k4eGhrKysB342AADWiAIeAIBaJj8/X5mZmZKkzZs3V+m1x44d06JFiyoU8C4uLlq3bp369u37wO+1fft2rVmzpkrPv3jxohITE6v0GgAAHhcU8AAA1DKpqakqLS1V3759tX//fp0/f/6+rykrK1NJSck9221tbdW1a1c5OTlVZ9QK/Pz8tGzZMl2/fr1GnwMAwKOIAh4AgFpm8+bNateunWbPnq3y8vJKR+H9/f31+9//XvHx8Ro8eLA6d+6s+Ph4zZ49W5LUv39/eXh4yMPDQ1LlU+gPHjyokJAQdevWTV27dtWQIUO0ePFiSdLrr7+ujRs36ty5c+b3CQkJuW/2iIgIFRQUaO3atff9jCEhIfL19dUzzzyjUaNGKSMjw6LPnWn5hw8f1qRJk+Tt7a3+/fsrOTlZkpSUlKSAgAA988wzioiI0OXLly1eX1RUpHfeeUf9+/dX586dNWTIECUlJd33MwAA8FPVMzoAAAB4eM6cOaOjR48qKipK7du3V6dOnbR582ZFRkZW6PvZZ5/p+PHjmjFjhho0aKCOHTuqoKBAS5Ys0ZIlS350tL2oqEjh4eHq2rWrYmJiZGdnp3PnzplH+yMjI3X58mWdOHFCCxculCQ1bNjwvvmfeuopjRgxQh9++KHGjh2rJ554otJ+58+f19ChQzVp0iSVl5dr165dioyM1NKlSzVgwACLvq+99ppeeOEFhYSEaN26dZozZ47OnDmjr7/+WnPmzNHVq1f19ttv65133lFMTIwk6datWwoNDdW5c+c0efJktW3bVrt379bcuXNVWlqqsWPH3vezAABQVRTwAADUIps2bZLJZNLw4cMlSYGBgZo/f76++uoreXl5WfS9fv26PvroIzk4OJjvPfXUU5IkT09PPfnkk/d8Tk5OjgoLCzVjxgw9/fTTkqRevXpZvI+Tk5N56n1VREREaNOmTYqPj1dYWFilfX74hURZWZl69uypnJwcJSYmVijgR48erQkTJkiSunTpou3btyslJUUZGRmyt7eXJJ08eVIJCQnm16SlpenQoUNKSkoy/7v5+fmpsLBQ7733nkaPHq06dZjoCACoXvzPAgBALVFeXq7U1FR5e3urVatWkqRhw4apbt26lU6j79atm0XxXhWtW7dWo0aN9Oabbyo1NVX//e9/f1b2H2rVqpWCgoK0fPlyff/995X2yc7OVlRUlPr06SNPT0916tRJu3bt0tmzZyv07d27t/l3BwcHOTk5ycfHx1y8S1KbNm1UXFxsnkb/+eefq02bNvL09FRJSYn5p0+fPrp48aJyc3Or7fMCAHAHBTwAALXEvn379O9//1sBAQEqLCxUYWGh7Ozs5OPjo/T09Aqb1DVt2vQnP8vBwUErV65UkyZN9Ic//EH9+vXTqFGjtG/fvp/7MSTdHoUvKiqyGBW/o6ioSL/73e90+vRpTZ8+XatXr9b69es1YMAA3bx5s0J/R0dHi2tbW1s1atTI4p6NjY0kmV9/+fJl5eTkqFOnThY/UVFRkqSCgoJq+ZwAAPwQU+gBAKgl7mww9+677+rdd9+t0L57926L6eUmk+lnPa9z585asmSJbt68qYMHD2rBggWaOHGidu7c+ZNH9u9o0aKFgoODtXz5cs2fP9+i7fDhw8rLy9O6desspufffX78z+Ho6Ki2bdsqOjq60vZ27dpV27MAALiDAh4AgFqguLhYW7ZskZ+fnyZNmmTRVlZWpilTpmjTpk0V1offzdbW1vx+D8rW1la+vr4KDQ1VZGSk8vLy5ODgIFtb2yq9z90mTZqk5ORkxcfHW9y/c8TcnVFz6famdvv375eLi8tPft4P9enTRzt27FDjxo3NyxEAAKhpFPAAANQCO3bs0P/+9z+NGzdOvr6+Fdp/+ctfKjU1VUVFRT+6G3z79u0lSQkJCXruuedUt25ddenSpUK/Tz/9VElJSRo8eLBatGihwsJCvf/++3J1dTWPTrdr105JSUlKTk6Wu7u7GjZsWKWRazc3N40aNarCkXLe3t5q0KCB/vSnP2ny5MkqLCxUbGysmjdvrvLy8gd+/x8zYsQIbdiwQePHj9eECRPk7u6u69evKzs7W4cPH1ZsbGy1PAcAgB+igAcAoBbYtGmTnJyc1L9//0rbg4KCtH79em3ZskUjR4685/t07NhRr7zyipKSkhQfH6/S0lKdOHGiQr/WrVvL1tZWcXFxys/Pl4ODg3x8fBQTE2MexX/hhRf0zTffKDo6WleuXFH37t21Zs2aKn2uSZMmacOGDRZr25s2baq4uDj99a9/1ZQpU+Tm5qbIyEhlZWVpz549VXr/e7GxsdGKFSv0/vvva9WqVfruuy4AyPQAAABtSURBVO/UqFEjtW3bVsOGDauWZwAAcDdTeXV9FQ0AAAAAAGoMu9ADAAAAAGAFKOABAAAAALACFPAAAAAAAFgBCngAAAAAAKwABTwAAAAAAFaAAh4AAAAAACtAAQ8AAAAAgBWggAcAAAAAwAr8H6hlBVOcZPonAAAAAElFTkSuQmCC\n"},"metadata":{}}],"source":["c1 = artist_rank\n","x = c1.index\n","y = c1.totalArtistPlays\n","x_label = 'Artist Name'\n","y_label = 'Total Artist Plays'\n","title = 'Total Plays by Artist'\n","caption = 'Percentage of total plays'\n","total_val = c1.totalArtistPlays.sum()\n","\n","bar_chart_int(x,y,x_label,y_label,title,caption,total_val);"]},{"cell_type":"code","execution_count":28,"metadata":{"id":"bJ-OapRiGYRZ","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":533},"executionInfo":{"status":"ok","timestamp":1668630581525,"user_tz":-210,"elapsed":2416,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"6c38078f-eea4-4bc3-a044-5f764c589e12"},"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n","  FutureWarning\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 1152x360 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["c2 = artist_rank.sort_values(['totalUniqueUsers'],ascending=False)\n","x = c2.index\n","y = c2.totalUniqueUsers\n","x_label = 'Artist Name'\n","y_label = 'Unique Users Played'\n","title = 'Unique Users per Artist'\n","caption = 'Percentage of total unique users'\n","total_val = ap.userID.nunique()\n","\n","bar_chart_int(x,y,x_label,y_label,title,caption,total_val)"]},{"cell_type":"code","execution_count":33,"metadata":{"id":"QC1CzI5fGfch","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":691},"executionInfo":{"status":"ok","timestamp":1668630808357,"user_tz":-210,"elapsed":5806,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"a1fbcfe4-8c2d-4bb1-d9a1-8f37463936af"},"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n","  FutureWarning\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 1080x720 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["top_artists = artist_rank.index[:12] # TODO : index of top 12 items in \"artist_rank\" based on their \"totalArtistPlays\"\n","\n","x = artist_rank['totalUniqueUsers']# TODO : \"totalUniqueUsers\" of \"artist_rank\"\n","y = artist_rank['totalArtistPlays'] # TODO :  \"totalArtistPlays\" of \"artist_rank\"\n","labels = artist_rank.index #: index of \"artist_rank\"\n","\n","fig, ax = plt.subplots(figsize=(15,10))\n","sns.regplot(x,y)\n","ax.set_title('Artist Popularity: Play Count vs Unique Users')\n","ax.yaxis.set_major_formatter(ticker.FuncFormatter(lambda y, _: '{:,.0f}'.format(y)))\n","ax.set_xlabel('Total Unique Users')\n","ax.set_ylabel('Total Artist Plays')\n","\n","for i, t in enumerate(labels):\n","    if t in top_artists:\n","        ax.annotate(t,(x[i],y[i]))"]},{"cell_type":"markdown","metadata":{"id":"FnMsFfIFMstw"},"source":["# Preprocessing (30 pts)"]},{"cell_type":"code","execution_count":34,"metadata":{"id":"CHkdq3Qo4dEI","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668630817085,"user_tz":-210,"elapsed":4516,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["pc = ap.playCount \n","play_count_scaled = (pc - pc.min()) / (pc.max() - pc.min())\n","ap = ap.assign(playCountScaled=play_count_scaled)"]},{"cell_type":"code","execution_count":35,"metadata":{"id":"R5mhtRYXvV1d","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668630924536,"user_tz":-210,"elapsed":769,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["###############################################################################\n","## TODO: Create  a Dataframe with userID as its rows, artistID as its columns and\n","## \"play_count_scaled\" as the value of each cell, in this manner you're creating\n","## a table which demonstrates what rating each user has for a set of items(artists)\n","## Your created table should be like below example\n","###############################################################################\n","\n","ratings_df =  ap.pivot(\n","    index='userID', \n","    columns='artistID', \n","    values='playCountScaled'\n",")"]},{"cell_type":"code","execution_count":36,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":519},"id":"x3eZLu0bB9Ae","outputId":"57b87150-3df4-43a2-c4a6-defe2ac740cf","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668630932238,"user_tz":-210,"elapsed":953,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["artistID  1      2         3      4      5         6      7      8      9      \\\n","userID                                                                          \n","2           NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","3           NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","4           NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","5           NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","6           NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","...         ...    ...       ...    ...    ...       ...    ...    ...    ...   \n","2095        NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","2096        NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","2097        NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","2099        NaN    NaN       NaN    NaN    NaN       NaN    NaN    NaN    NaN   \n","2100        NaN    NaN  0.001154    NaN    NaN  0.001143    NaN    NaN    NaN   \n","\n","artistID  10     ...  18736  18737  18738  18739  18740  18741  18742  18743  \\\n","userID           ...                                                           \n","2           NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","3           NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","4           NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","5           NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","6           NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","...         ...  ...    ...    ...    ...    ...    ...    ...    ...    ...   \n","2095        NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","2096        NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","2097        NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","2099        NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","2100        NaN  ...    NaN    NaN    NaN    NaN    NaN    NaN    NaN    NaN   \n","\n","artistID  18744  18745  \n","userID                  \n","2           NaN    NaN  \n","3           NaN    NaN  \n","4           NaN    NaN  \n","5           NaN    NaN  \n","6           NaN    NaN  \n","...         ...    ...  \n","2095        NaN    NaN  \n","2096        NaN    NaN  \n","2097        NaN    NaN  \n","2099        NaN    NaN  \n","2100        NaN    NaN  \n","\n","[1892 rows x 17632 columns]"],"text/html":["\n","  <div id=\"df-71ef4126-52cc-4ab6-bc4b-e7cf79599d0c\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th>artistID</th>\n","      <th>1</th>\n","      <th>2</th>\n","      <th>3</th>\n","      <th>4</th>\n","      <th>5</th>\n","      <th>6</th>\n","      <th>7</th>\n","      <th>8</th>\n","      <th>9</th>\n","      <th>10</th>\n","      <th>...</th>\n","      <th>18736</th>\n","      <th>18737</th>\n","      <th>18738</th>\n","      <th>18739</th>\n","      <th>18740</th>\n","      <th>18741</th>\n","      <th>18742</th>\n","      <th>18743</th>\n","      <th>18744</th>\n","      <th>18745</th>\n","    </tr>\n","    <tr>\n","      <th>userID</th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","      <th></th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>2</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>...</th>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","    </tr>\n","    <tr>\n","      <th>2095</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>2096</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>2097</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>2099</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>2100</th>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0.001154</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0.001143</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>...</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>1892 rows × 17632 columns</p>\n","</div>\n","     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Note that you sould\n","# care about observed values of ground_truth table not prediction!\n","###############################################################################\n","\n","\n","def rmse(prediction, ground_truth):\n","    prediction = prediction[ground_truth.nonzero()].flatten() \n","    ground_truth = ground_truth[ground_truth.nonzero()].flatten()\n","    return sqrt(mean_squared_error(prediction, ground_truth))"]},{"cell_type":"code","execution_count":55,"metadata":{"id":"xQkKhzz6KTFi","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668633537812,"user_tz":-210,"elapsed":540,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["class Recommender:\n","  \n","  def __init__(self, n_epochs=200, n_latent_features=3, lmbda=1, learning_rate=0.001):\n","    self.n_epochs = n_epochs\n","    self.n_latent_features = n_latent_features\n","    self.lmbda = lmbda\n","    self.learning_rate = learning_rate\n","  \n","  def predictions(self, P, Q):\n","    return np.dot(P.T, Q)\n","  \n","  def fit(self, X_train, X_val):\n","    m, n = X_train.shape\n","\n","    self.P = 3 * np.random.rand(self.n_latent_features, m)\n","    self.Q = 3 * np.random.rand(self.n_latent_features, n)\n","    \n","    self.train_error = []\n","    self.val_error = []\n","\n","    users, items = X_train.nonzero()\n","    \n","    for epoch in range(self.n_epochs):\n","        for u, i in zip(users, items):\n","            error = X_train[u, i] - self.predictions(self.P[:,u], self.Q[:,i])\n","            self.P[:, u] += self.learning_rate * (error * self.Q[:, i] - self.lmbda * self.P[:, u])\n","            self.Q[:, i] += self.learning_rate * (error * self.P[:, u] - self.lmbda * self.Q[:, i])\n","\n","        train_rmse = rmse(self.predictions(self.P, self.Q), X_train)\n","        val_rmse = rmse(self.predictions(self.P, self.Q), X_val)\n","        self.train_error.append(train_rmse)\n","        self.val_error.append(val_rmse)\n","        \n","    return self\n","  \n","  def predict(self, X_train, user_index):\n","    y_hat = self.predictions(self.P, self.Q)\n","    predictions_index = np.where(X_train[user_index, :] == 0)[0]\n","    return y_hat[user_index, predictions_index].flatten()"]},{"cell_type":"code","execution_count":56,"metadata":{"id":"vxw6Fo5oYRMD","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668634109432,"user_tz":-210,"elapsed":119546,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["#creating recommender object\n","recommender = Recommender().fit(train, val)"]},{"cell_type":"code","execution_count":50,"metadata":{"id":"OlYUXsK4ivYP","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":508},"executionInfo":{"status":"ok","timestamp":1668633460922,"user_tz":-210,"elapsed":2106,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"6806d226-533c-4795-e413-0d18c85d5a6a"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1008x576 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["###############################################################################\n","# TODO : Plot the loss of train and loss\n","###############################################################################\n","plt.plot(range(recommender.n_epochs), recommender.train_error, marker='o', label='Training Data');\n","plt.plot(range(recommender.n_epochs), recommender.val_error, marker='v', label='Validation Data');\n","plt.xlabel('Number of Epochs');\n","plt.ylabel('RMSE');\n","plt.legend()\n","plt.grid()\n","plt.show()\n","#TODO"]},{"cell_type":"code","source":["plt.plot(range(recommender.n_epochs), recommender.train_error, marker='o', label='Training Data');\n","plt.plot(range(recommender.n_epochs), recommender.val_error, marker='v', label='Validation Data');\n","plt.xlabel('Number of Epochs');\n","plt.ylabel('RMSE');\n","plt.legend()\n","plt.grid()\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":508},"id":"QQdbLf8HWliU","executionInfo":{"status":"ok","timestamp":1668634275526,"user_tz":-210,"elapsed":1681,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"6985f8a7-ad3e-4bd1-bf98-794604f16d56"},"execution_count":57,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1008x576 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","metadata":{"id":"R1ZRnDJdrjyt"},"source":["# Bonus\n","**Can you improve the accuracy of model? If so, Do it and explain why it imporved! (Note that improvement must be noticable) (+10 pts)**\n","\n","by setting higher lambda like one you can see diffrence is noticable."]},{"cell_type":"markdown","metadata":{"id":"qfsVdH_tAjeA"},"source":["# Making recommendations"]},{"cell_type":"code","execution_count":51,"metadata":{"id":"5qPPUDb62TMx","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668633468328,"user_tz":-210,"elapsed":595,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["user_id = 1236\n","user_index = ratings_df.index.get_loc(user_id)\n","predictions_index = np.where(train[user_index, :] == 0)[0]\n","\n","rating_predictions = recommender.predict(train, user_index)"]},{"cell_type":"code","execution_count":52,"metadata":{"id":"dl_Fy-GX8Q1X","vscode":{"languageId":"python"},"executionInfo":{"status":"ok","timestamp":1668633474025,"user_tz":-210,"elapsed":473,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}}},"outputs":[],"source":["def create_artist_ratings(artists_df, artists_index, ratings, n=10):\n","  artist_ids = ratings_df.columns[artists_index]\n","  artist_ratings = pd.DataFrame(data=dict(artistId=artist_ids, rating=ratings))\n","  top_n_artists = artist_ratings.sort_values(\"rating\", ascending=False).head(n)\n","  \n","  artist_recommendations = artists_df[artists_df.id.isin(top_n_artists.artistId)].reset_index(drop=True)\n","  artist_recommendations['rating'] = pd.Series(top_n_artists.rating.values)\n","  return artist_recommendations.sort_values(\"rating\", ascending=False)"]},{"cell_type":"code","execution_count":53,"metadata":{"id":"F9v4iFUt9ETI","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":322},"executionInfo":{"status":"ok","timestamp":1668633476694,"user_tz":-210,"elapsed":431,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"d9534eb4-c4a3-44b4-ba83-c486a7264159"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["     id               name    rating\n","0     7     Marilyn Manson  0.196486\n","1   472       3 Doors Down  0.043204\n","2   614          Pearl Jam  0.042016\n","3   923  Children of Bodom  0.025657\n","4   978          Disturbed  0.021690\n","5  1104          Rammstein  0.021562\n","6  1118   A Perfect Circle  0.020879\n","7  2172             Gojira  0.017051\n","8  6257         Rob Zombie  0.016280\n","9  6618                D12  0.010990"],"text/html":["\n","  <div id=\"df-a82a681c-54ea-4883-9ad4-9fb75ec87f0c\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: 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<td>Rammstein</td>\n","      <td>0.021562</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>1118</td>\n","      <td>A Perfect Circle</td>\n","      <td>0.020879</td>\n","    </tr>\n","    <tr>\n","      <th>7</th>\n","      <td>2172</td>\n","      <td>Gojira</td>\n","      <td>0.017051</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>6257</td>\n","      <td>Rob Zombie</td>\n","      <td>0.016280</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>6618</td>\n","      <td>D12</td>\n","      <td>0.010990</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a82a681c-54ea-4883-9ad4-9fb75ec87f0c')\"\n","              title=\"Convert this dataframe to an interactive table.\"\n","              style=\"display:none;\">\n","        \n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","       width=\"24px\">\n","    <path d=\"M0 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existing_ratings)"]},{"cell_type":"code","execution_count":54,"metadata":{"id":"SlQhdjI_81II","vscode":{"languageId":"python"},"colab":{"base_uri":"https://localhost:8080/","height":363},"executionInfo":{"status":"ok","timestamp":1668633484442,"user_tz":-210,"elapsed":542,"user":{"displayName":"Radmehr Karimian","userId":"06106546034213066395"}},"outputId":"e5632873-1e8c-40f7-db80-888320ca122c"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["      id              name    rating\n","0   7098            WarCry  0.271646\n","1   8519          Poccolus  0.257797\n","2  10493       Sektor Gaza  0.255879\n","3  11950  Bromheads Jacket  0.254456\n","4  13137           Pastora  0.253388\n","5  14564        Andy Shauf  0.252921\n","6  16107  Freddie McGregor  0.250554\n","7  17803   Sophie Rimheden  0.249490\n","8  18543            Advent  0.249015\n","9  18676       Mehmet Atlı  0.248667"],"text/html":["\n","  <div id=\"df-b0288422-e17f-4431-9a3f-75cf3d22912a\">\n","    <div 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