ES114_DN2_Codefiles.ipynb

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        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "import statsmodels.api as sm\n",
        "import scipy.stats as stats"
      ]
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        "aaupdf=pd.read_csv('aaup.data', header=None, sep=',',names=['FICE','College Name','State(Postal code)','Type','Average salary-full professors','Average salary-associate professors','Average salary-assistant professors','Average salary-all ranks','Average compensation-full professors','Average compensation-associate professors','Average compensation-assistant professors','Average compensation-all ranks','Number of full professors','Number of associate professors','Number of assistant professors','Number of instructors','Number of faculty-all ranks' ])\n",
        "cols = ['Average salary-associate professors','Average salary-assistant professors','Average salary-full professors','Average compensation-full professors','Average compensation-associate professors','Average compensation-assistant professors' ]\n",
        "aaupdf[cols] = aaupdf[cols].apply(pd.to_numeric, errors='coerce', axis=1)\n",
        "aaupdf"
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              "       FICE                  College Name State(Postal code) Type  \\\n",
              "0      1061     Alaska Pacific University                 AK  IIB   \n",
              "1      1063         Univ.Alaska-Fairbanks                 AK    I   \n",
              "2      1065         Univ.Alaska-Southeast                 AK  IIA   \n",
              "3     11462         Univ.Alaska-Anchorage                 AK  IIA   \n",
              "4      1002     Alabama Agri.&Mech. Univ.                 AL  IIA   \n",
              "...     ...                           ...                ...  ...   \n",
              "1156   3825  West Virginia Inst. of Tech.                 WV  IIB   \n",
              "1157   3827      West Virginia University                 WV    I   \n",
              "1158   3830  West Virginia Wesleyan Coll.                 WV  IIB   \n",
              "1159   3831       Wheeling Jesuit College                 WV  IIB   \n",
              "1160   3932         University of Wyoming                 WY    I   \n",
              "\n",
              "      Average salary-full professors  Average salary-associate professors  \\\n",
              "0                              454.0                                382.0   \n",
              "1                              686.0                                560.0   \n",
              "2                              533.0                                494.0   \n",
              "3                              612.0                                507.0   \n",
              "4                              442.0                                369.0   \n",
              "...                              ...                                  ...   \n",
              "1156                           408.0                                340.0   \n",
              "1157                           535.0                                431.0   \n",
              "1158                           441.0                                383.0   \n",
              "1159                           403.0                                348.0   \n",
              "1160                           539.0                                410.0   \n",
              "\n",
              "      Average salary-assistant professors  Average salary-all ranks  \\\n",
              "0                                   362.0                       382   \n",
              "1                                   432.0                       508   \n",
              "2                                   329.0                       415   \n",
              "3                                   414.0                       498   \n",
              "4                                   310.0                       350   \n",
              "...                                   ...                       ...   \n",
              "1156                                297.0                       349   \n",
              "1157                                361.0                       439   \n",
              "1158                                339.0                       383   \n",
              "1159                                282.0                       315   \n",
              "1160                                374.0                       445   \n",
              "\n",
              "      Average compensation-full professors  \\\n",
              "0                                    567.0   \n",
              "1                                    914.0   \n",
              "2                                    716.0   \n",
              "3                                    825.0   \n",
              "4                                    530.0   \n",
              "...                                    ...   \n",
              "1156                                 502.0   \n",
              "1157                                 642.0   \n",
              "1158                                 572.0   \n",
              "1159                                 486.0   \n",
              "1160                                 658.0   \n",
              "\n",
              "      Average compensation-associate professors  \\\n",
              "0                                         485.0   \n",
              "1                                         753.0   \n",
              "2                                         663.0   \n",
              "3                                         681.0   \n",
              "4                                         444.0   \n",
              "...                                         ...   \n",
              "1156                                      419.0   \n",
              "1157                                      521.0   \n",
              "1158                                      494.0   \n",
              "1159                                      416.0   \n",
              "1160                                      507.0   \n",
              "\n",
              "      Average compensation-assistant professors  \\\n",
              "0                                         471.0   \n",
              "1                                         572.0   \n",
              "2                                         442.0   \n",
              "3                                         557.0   \n",
              "4                                         376.0   \n",
              "...                                         ...   \n",
              "1156                                      369.0   \n",
              "1157                                      438.0   \n",
              "1158                                      434.0   \n",
              "1159                                      348.0   \n",
              "1160                                      464.0   \n",
              "\n",
              "      Average compensation-all ranks  Number of full professors  \\\n",
              "0                                487                          6   \n",
              "1                                677                         74   \n",
              "2                                559                          9   \n",
              "3                                670                        115   \n",
              "4                                423                         59   \n",
              "...                              ...                        ...   \n",
              "1156                             431                         54   \n",
              "1157                             529                        335   \n",
              "1158                             495                         25   \n",
              "1159                             381                          8   \n",
              "1160                             549                        241   \n",
              "\n",
              "      Number of associate professors  Number of assistant professors  \\\n",
              "0                                 11                               9   \n",
              "1                                125                             118   \n",
              "2                                 26                              20   \n",
              "3                                124                             101   \n",
              "4                                 77                             102   \n",
              "...                              ...                             ...   \n",
              "1156                              43                              29   \n",
              "1157                             237                             272   \n",
              "1158                              22                              24   \n",
              "1159                              20                              25   \n",
              "1160                             154                             164   \n",
              "\n",
              "      Number of instructors  Number of faculty-all ranks  \n",
              "0                         4                           32  \n",
              "1                        40                          404  \n",
              "2                         9                           70  \n",
              "3                        21                          392  \n",
              "4                        24                          262  \n",
              "...                     ...                          ...  \n",
              "1156                     11                          137  \n",
              "1157                     22                          895  \n",
              "1158                      3                           74  \n",
              "1159                     12                           65  \n",
              "1160                      2                          591  \n",
              "\n",
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              "      <td>Alaska Pacific University</td>\n",
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              "      <td>Univ.Alaska-Fairbanks</td>\n",
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              "      <th>3</th>\n",
              "      <td>11462</td>\n",
              "      <td>Univ.Alaska-Anchorage</td>\n",
              "      <td>AK</td>\n",
              "      <td>IIA</td>\n",
              "      <td>612.0</td>\n",
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              "      <td>Wheeling Jesuit College</td>\n",
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          "metadata": {},
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    },
    {
      "cell_type": "code",
      "source": [
        "usnewsdf = pd.read_csv('usnews.data', header=None)\n",
        "usnewsdf.columns = ['FICE (Federal ID number)','College Name','State(Postal code)','Public/private indicator (public=1, private=2)','Average Math SAT score','Average Verbal SAT score','Average Combined SAT score','Average ACT score','First quartile - Math SAT','Third quartile - Math SAT','First quartile - Verbal SAT','Third quartile - Verbal SAT','First quartile - ACT','Third quartile - ACT','Number of applications received','Number of applicants accepted','Number of new students enrolled','Pct. new students from top 10% of H.S. class','Pct. new students from top 25% of H.S. class','Number of fulltime undergraduates','Number of parttime undergraduates','In-state tuition','Out-of-state tuition','Room and board costs','Room costs','Board costs','Additional fees','Estimated book costs','Estimated personal spending','Pct. of faculty with Ph.D.s','Pct. of faculty with terminal degree','Student/faculty ratio','Pct.alumni who donate','Instructional expenditure per student','Graduation rate']\n",
        "cols = ['Public/private indicator (public=1, private=2)','Average Math SAT score','Average Verbal SAT score','Average Combined SAT score','Average ACT score','First quartile - Math SAT','Third quartile - Math SAT','First quartile - Verbal SAT','Third quartile - Verbal SAT','First quartile - ACT','Third quartile - ACT','Number of applications received','Number of applicants accepted','Number of new students enrolled','Pct. new students from top 10% of H.S. class','Pct. new students from top 25% of H.S. class','Number of fulltime undergraduates','Number of parttime undergraduates','In-state tuition','Out-of-state tuition','Room and board costs','Room costs','Board costs','Additional fees','Estimated book costs','Estimated personal spending','Pct. of faculty with Ph.D.s','Pct. of faculty with terminal degree','Student/faculty ratio','Pct.alumni who donate','Instructional expenditure per student','Graduation rate']\n",
        "usnewsdf[cols] = usnewsdf[cols].apply(pd.to_numeric, errors='coerce', axis=1)\n",
        "usnewsdf"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 991
        },
        "id": "p87tjAj_htR4",
        "outputId": "bacd722f-4260-4f5b-ccfa-a83377da6668"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "      FICE (Federal ID number)                       College Name  \\\n",
              "0                         1061          Alaska Pacific University   \n",
              "1                         1063  University of Alaska at Fairbanks   \n",
              "2                         1065     University of Alaska Southeast   \n",
              "3                        11462  University of Alaska at Anchorage   \n",
              "4                         1002        Alabama Agri. & Mech. Univ.   \n",
              "...                        ...                                ...   \n",
              "1297                      3826        West Virginia State College   \n",
              "1298                      3827           West Virginia University   \n",
              "1299                      3830     West Virginia Wesleyan College   \n",
              "1300                      3831            Wheeling Jesuit College   \n",
              "1301                      3932              University of Wyoming   \n",
              "\n",
              "     State(Postal code)  Public/private indicator (public=1, private=2)  \\\n",
              "0                    AK                                             2.0   \n",
              "1                    AK                                             1.0   \n",
              "2                    AK                                             1.0   \n",
              "3                    AK                                             1.0   \n",
              "4                    AL                                             1.0   \n",
              "...                 ...                                             ...   \n",
              "1297                 WV                                             1.0   \n",
              "1298                 WV                                             1.0   \n",
              "1299                 WV                                             2.0   \n",
              "1300                 WV                                             2.0   \n",
              "1301                 WY                                             1.0   \n",
              "\n",
              "      Average Math SAT score  Average Verbal SAT score  \\\n",
              "0                      490.0                     482.0   \n",
              "1                      499.0                     462.0   \n",
              "2                        NaN                       NaN   \n",
              "3                      459.0                     422.0   \n",
              "4                        NaN                       NaN   \n",
              "...                      ...                       ...   \n",
              "1297                     NaN                       NaN   \n",
              "1298                   507.0                     439.0   \n",
              "1299                   489.0                     439.0   \n",
              "1300                   479.0                     433.0   \n",
              "1301                     NaN                       NaN   \n",
              "\n",
              "      Average Combined SAT score  Average ACT score  \\\n",
              "0                          972.0               20.0   \n",
              "1                          961.0               22.0   \n",
              "2                            NaN                NaN   \n",
              "3                          881.0               20.0   \n",
              "4                            NaN               17.0   \n",
              "...                          ...                ...   \n",
              "1297                         NaN               18.0   \n",
              "1298                       946.0               22.0   \n",
              "1299                       928.0               23.0   \n",
              "1300                       912.0               22.0   \n",
              "1301                         NaN               23.0   \n",
              "\n",
              "      First quartile - Math SAT  Third quartile - Math SAT  ...  Board costs  \\\n",
              "0                         440.0                      530.0  ...       2500.0   \n",
              "1                           NaN                        NaN  ...       1790.0   \n",
              "2                           NaN                        NaN  ...       2250.0   \n",
              "3                           NaN                        NaN  ...       2520.0   \n",
              "4                           NaN                        NaN  ...       1442.0   \n",
              "...                         ...                        ...  ...          ...   \n",
              "1297                        NaN                        NaN  ...       1700.0   \n",
              "1298                      450.0                      560.0  ...       2026.0   \n",
              "1299                      420.0                      560.0  ...       2025.0   \n",
              "1300                      410.0                      520.0  ...       2445.0   \n",
              "1301                        NaN                        NaN  ...       1960.0   \n",
              "\n",
              "      Additional fees  Estimated book costs  Estimated personal spending  \\\n",
              "0               130.0                 800.0                       1500.0   \n",
              "1               155.0                 650.0                       2304.0   \n",
              "2                34.0                 500.0                       1162.0   \n",
              "3               114.0                 580.0                       1260.0   \n",
              "4               155.0                 500.0                        850.0   \n",
              "...               ...                   ...                          ...   \n",
              "1297             50.0                 750.0                        750.0   \n",
              "1298              NaN                   NaN                          NaN   \n",
              "1299              NaN                 450.0                       1100.0   \n",
              "1300              NaN                 600.0                        600.0   \n",
              "1301            300.0                 600.0                       1500.0   \n",
              "\n",
              "      Pct. of faculty with Ph.D.s  Pct. of faculty with terminal degree  \\\n",
              "0                            76.0                                  72.0   \n",
              "1                            67.0                                   NaN   \n",
              "2                            39.0                                  51.0   \n",
              "3                            48.0                                   NaN   \n",
              "4                            53.0                                  53.0   \n",
              "...                           ...                                   ...   \n",
              "1297                         38.0                                  38.0   \n",
              "1298                         83.0                                  86.0   \n",
              "1299                         58.0                                  81.0   \n",
              "1300                         66.0                                  71.0   \n",
              "1301                         91.0                                  94.0   \n",
              "\n",
              "      Student/faculty ratio  Pct.alumni who donate  \\\n",
              "0                      11.9                    2.0   \n",
              "1                      10.0                    8.0   \n",
              "2                       9.5                    NaN   \n",
              "3                      13.7                    6.0   \n",
              "4                      14.3                    NaN   \n",
              "...                     ...                    ...   \n",
              "1297                   19.2                    4.0   \n",
              "1298                   13.4                    NaN   \n",
              "1299                   16.4                   42.0   \n",
              "1300                   14.1                   27.0   \n",
              "1301                   15.1                   13.0   \n",
              "\n",
              "      Instructional expenditure per student  Graduation rate  \n",
              "0                                   10922.0             15.0  \n",
              "1                                   11935.0              NaN  \n",
              "2                                    9584.0             39.0  \n",
              "3                                    8046.0              NaN  \n",
              "4                                    7043.0             40.0  \n",
              "...                                     ...              ...  \n",
              "1297                                 3839.0              NaN  \n",
              "1298                                 8318.0             57.0  \n",
              "1299                                 8080.0             67.0  \n",
              "1300                                 7494.0             72.0  \n",
              "1301                                 8745.0             45.0  \n",
              "\n",
              "[1302 rows x 35 columns]"
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              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>FICE (Federal ID number)</th>\n",
              "      <th>College Name</th>\n",
              "      <th>State(Postal code)</th>\n",
              "      <th>Public/private indicator (public=1, private=2)</th>\n",
              "      <th>Average Math SAT score</th>\n",
              "      <th>Average Verbal SAT score</th>\n",
              "      <th>Average Combined SAT score</th>\n",
              "      <th>Average ACT score</th>\n",
              "      <th>First quartile - Math SAT</th>\n",
              "      <th>Third quartile - Math SAT</th>\n",
              "      <th>...</th>\n",
              "      <th>Board costs</th>\n",
              "      <th>Additional fees</th>\n",
              "      <th>Estimated book costs</th>\n",
              "      <th>Estimated personal spending</th>\n",
              "      <th>Pct. of faculty with Ph.D.s</th>\n",
              "      <th>Pct. of faculty with terminal degree</th>\n",
              "      <th>Student/faculty ratio</th>\n",
              "      <th>Pct.alumni who donate</th>\n",
              "      <th>Instructional expenditure per student</th>\n",
              "      <th>Graduation rate</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1061</td>\n",
              "      <td>Alaska Pacific University</td>\n",
              "      <td>AK</td>\n",
              "      <td>2.0</td>\n",
              "      <td>490.0</td>\n",
              "      <td>482.0</td>\n",
              "      <td>972.0</td>\n",
              "      <td>20.0</td>\n",
              "      <td>440.0</td>\n",
              "      <td>530.0</td>\n",
              "      <td>...</td>\n",
              "      <td>2500.0</td>\n",
              "      <td>130.0</td>\n",
              "      <td>800.0</td>\n",
              "      <td>1500.0</td>\n",
              "      <td>76.0</td>\n",
              "      <td>72.0</td>\n",
              "      <td>11.9</td>\n",
              "      <td>2.0</td>\n",
              "      <td>10922.0</td>\n",
              "      <td>15.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1063</td>\n",
              "      <td>University of Alaska at Fairbanks</td>\n",
              "      <td>AK</td>\n",
              "      <td>1.0</td>\n",
              "      <td>499.0</td>\n",
              "      <td>462.0</td>\n",
              "      <td>961.0</td>\n",
              "      <td>22.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>...</td>\n",
              "      <td>1790.0</td>\n",
              "      <td>155.0</td>\n",
              "      <td>650.0</td>\n",
              "      <td>2304.0</td>\n",
              "      <td>67.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>10.0</td>\n",
              "      <td>8.0</td>\n",
              "      <td>11935.0</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1065</td>\n",
              "      <td>University of Alaska Southeast</td>\n",
              "      <td>AK</td>\n",
              "      <td>1.0</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>2250.0</td>\n",
              "      <td>34.0</td>\n",
              "      <td>500.0</td>\n",
              "      <td>1162.0</td>\n",
              "      <td>39.0</td>\n",
              "      <td>51.0</td>\n",
              "      <td>9.5</td>\n",
              "      <td>NaN</td>\n",
              "      <td>9584.0</td>\n",
              "      <td>39.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>11462</td>\n",
              "      <td>University of Alaska at Anchorage</td>\n",
              "      <td>AK</td>\n",
              "      <td>1.0</td>\n",
              "      <td>459.0</td>\n",
              "      <td>422.0</td>\n",
              "      <td>881.0</td>\n",
              "      <td>20.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>...</td>\n",
              "      <td>2520.0</td>\n",
              "      <td>114.0</td>\n",
              "      <td>580.0</td>\n",
              "      <td>1260.0</td>\n",
              "      <td>48.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>13.7</td>\n",
              "      <td>6.0</td>\n",
              "      <td>8046.0</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>1002</td>\n",
              "      <td>Alabama Agri. &amp; Mech. Univ.</td>\n",
              "      <td>AL</td>\n",
              "      <td>1.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>17.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
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              "      <td>1442.0</td>\n",
              "      <td>155.0</td>\n",
              "      <td>500.0</td>\n",
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              "      <td>53.0</td>\n",
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              "      <td>7043.0</td>\n",
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              "      <td>3826</td>\n",
              "      <td>West Virginia State College</td>\n",
              "      <td>WV</td>\n",
              "      <td>1.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>18.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
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              "      <td>50.0</td>\n",
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              "      <td>750.0</td>\n",
              "      <td>38.0</td>\n",
              "      <td>38.0</td>\n",
              "      <td>19.2</td>\n",
              "      <td>4.0</td>\n",
              "      <td>3839.0</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1298</th>\n",
              "      <td>3827</td>\n",
              "      <td>West Virginia University</td>\n",
              "      <td>WV</td>\n",
              "      <td>1.0</td>\n",
              "      <td>507.0</td>\n",
              "      <td>439.0</td>\n",
              "      <td>946.0</td>\n",
              "      <td>22.0</td>\n",
              "      <td>450.0</td>\n",
              "      <td>560.0</td>\n",
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              "      <td>2026.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>83.0</td>\n",
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              "      <td>8318.0</td>\n",
              "      <td>57.0</td>\n",
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              "    <tr>\n",
              "      <th>1299</th>\n",
              "      <td>3830</td>\n",
              "      <td>West Virginia Wesleyan College</td>\n",
              "      <td>WV</td>\n",
              "      <td>2.0</td>\n",
              "      <td>489.0</td>\n",
              "      <td>439.0</td>\n",
              "      <td>928.0</td>\n",
              "      <td>23.0</td>\n",
              "      <td>420.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>...</td>\n",
              "      <td>2025.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>450.0</td>\n",
              "      <td>1100.0</td>\n",
              "      <td>58.0</td>\n",
              "      <td>81.0</td>\n",
              "      <td>16.4</td>\n",
              "      <td>42.0</td>\n",
              "      <td>8080.0</td>\n",
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              "    <tr>\n",
              "      <th>1300</th>\n",
              "      <td>3831</td>\n",
              "      <td>Wheeling Jesuit College</td>\n",
              "      <td>WV</td>\n",
              "      <td>2.0</td>\n",
              "      <td>479.0</td>\n",
              "      <td>433.0</td>\n",
              "      <td>912.0</td>\n",
              "      <td>22.0</td>\n",
              "      <td>410.0</td>\n",
              "      <td>520.0</td>\n",
              "      <td>...</td>\n",
              "      <td>2445.0</td>\n",
              "      <td>NaN</td>\n",
              "      <td>600.0</td>\n",
              "      <td>600.0</td>\n",
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              "      <td>14.1</td>\n",
              "      <td>27.0</td>\n",
              "      <td>7494.0</td>\n",
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              "    <tr>\n",
              "      <th>1301</th>\n",
              "      <td>3932</td>\n",
              "      <td>University of Wyoming</td>\n",
              "      <td>WY</td>\n",
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              "      <td>NaN</td>\n",
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              "      <td>91.0</td>\n",
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              "      <td>13.0</td>\n",
              "      <td>8745.0</td>\n",
              "      <td>45.0</td>\n",
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              "      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-02a256f2-e790-49af-a7a3-0429ed45ca00 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-02a256f2-e790-49af-a7a3-0429ed45ca00');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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": 123
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Questions and codes**"
      ],
      "metadata": {
        "id": "xq9BL_jpkXtW"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "The AAUP DATASET"
      ],
      "metadata": {
        "id": "sjY7gijoqSQq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# question1\n",
        "# find the plot and correlation between number of faculty members and their average salary distribution. Also find which university have maximum average salary and which university have maximum number of faculty members?\n",
        "\n",
        "# Filter the dataframe to include only the relevant columns\n",
        "df = aaupdf[['Average salary-all ranks', 'Number of faculty-all ranks']]\n",
        "\n",
        "# Calculate the correlation coefficient\n",
        "corr_coef = df.corr().iloc[0,1]\n",
        "\n",
        "# Print the correlation coefficient\n",
        "print(f\"Correlation coefficient between average salary of faculty members and the number of faculty members: {corr_coef:.3f}\")\n",
        "\n",
        "# Plot a scatter plot to visualize the relationship between the two variables\n",
        "plt.scatter(df['Number of faculty-all ranks'], df['Average salary-all ranks'])\n",
        "plt.xlabel('Total number of faculty')\n",
        "plt.ylabel('Average salary of faculty')\n",
        "plt.title('Relationship between number of faculty members and their average salaries')\n",
        "plt.show()\n",
        "\n",
        "# get the row with the maximum average salary for all ranks\n",
        "max_salary_row = aaupdf.loc[df['Average salary-all ranks'].idxmax()]\n",
        "\n",
        "# get the name of the university with the maximum average salary for all ranks\n",
        "max_salary_university = max_salary_row['College Name']\n",
        "\n",
        "# get the number of all faculty members at the university with the maximum average salary for all ranks\n",
        "max_salary_faculty = max_salary_row['Number of faculty-all ranks']\n",
        "\n",
        "max_salary = df['Average salary-all ranks'].max()\n",
        "\n",
        "print(\"\")\n",
        "print(f\"The university with the maximum average salary (i.e {max_salary}) for all ranks is {max_salary_university} with {max_salary_faculty} all faculty members.\")\n",
        "\n",
        "\n",
        "# create a new DataFrame with relevant columns\n",
        "df_faculty = aaupdf[['College Name', 'Average salary-all ranks', 'Number of faculty-all ranks']]\n",
        "\n",
        "# sort the DataFrame by 'Number of faculty-all ranks'\n",
        "df_faculty_sorted = df_faculty.sort_values('Number of faculty-all ranks', ascending=False)\n",
        "\n",
        "# select the first row of the sorted DataFrame\n",
        "highest_faculty = df_faculty_sorted.iloc[0]\n",
        "max_faculty_university= highest_faculty['College Name']\n",
        "num_highest_faculty=highest_faculty['Number of faculty-all ranks']\n",
        "avg_highest_faculty=highest_faculty['Average salary-all ranks']\n",
        "\n",
        "print(\"\")\n",
        "print(f\"The university with the maximum number of faculty members(i.e {num_highest_faculty}) for all ranks is {max_faculty_university} with average all-ranks salary of {avg_highest_faculty}.\")\n",
        "\n",
        "# Select columns of interest\n",
        "cols = ['Average salary-all ranks', 'Number of faculty-all ranks']\n",
        "data = aaupdf[cols]\n",
        "\n",
        "# Calculate summary statistics\n",
        "summary_stats = data.describe()\n",
        "\n",
        "# Print summary statistics\n",
        "print(\"\")\n",
        "print(summary_stats)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 732
        },
        "id": "flPwrd-R7_b8",
        "outputId": "92e69de2-9e2d-411b-d53b-9e89d40a6fe1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Correlation coefficient between average salary of faculty members and the number of faculty members: 0.570\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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LmMjISObYsWNa+x8fH290nQzz72e+cRt0ff/fe+89Ji4uTnNc6urqmD59+jC9e/dmSktLtZZt+Dlme54Ypuk1Q9/nvaysjImJiWE++ugjrdcXLFjAxMfHMxUVFYZ2W3M+U1NTNa8dOnSIiYyMZGJjY7WucZs2bWpyfWR7bVVfyxp/t0eMGMFERUUxc+bM0bxWV1fHPPTQQ1rHSv05iY2NZe7cuaN5/ezZs0xkZCSzaNEizm0aOXIkU1dXp3VckpKSmPnz5xs8drro+rykpaUxkZGRzPbt25ts29i1XaFQMJ06dWImT56stdzy5cuZyMhIZubMmQbbo1AomnyW1GbOnMlERkYyn332mdbrgwcPZoYMGaL5tynXvMafcfW1v2/fvjqPjS6Nl6upqWGefPJJZty4cZrXrl27xkRGRjLffvut1rLz5s1j4uPjNevgcr3++++/jbaJYRjmueeeY/r27av5d2FhIfPAAw8wL730ktZyq1atanKu2F4fdWFzv9fVZl3HkWHq97th26qrqxmlUqm1THZ2NhMdHa31WTF0bhvHUqbc27l+9xri9Jh7/PjxmscT06ZNg4uLCz7//HO0atUKQH3K9vjx43j88cdx79493L17F3fv3kVxcTFSUlJw48YN5Ofn611/w/4SlZWVuHv3LhISEsAwjM5HPsYolUocOXIE/fr1Q3BwsOb1gIAAPPnkkzhz5kyTRwDDhw+HSCTS/Ds5ORlKpVKThVX38/rzzz+N/lodMGCAVtZHX7cAXRISEhAdHa35d2BgIPr27YvDhw/rfOzX2ODBg+Hm5qb592OPPQZ/f3/No+aLFy/ixo0bGDhwIIqLizXnqrKyEt26dcOpU6eMPgJ44IEHIJfLcfr0aQD1GchWrVph8ODB+Oeff1BVVaXJVqqzkkB9BjopKQkeHh6a7d69exfdu3eHUqnUPM7ft28f3N3d0aNHD63lOnXqBLlc3iStHx4erlVmxsfHB+3atWN1vAHzzpc+jz32mFbfQPUvwkGDBmn1lY2NjUVtbW2T70dAQIBWdsfNzU1zfAsLCwGwP55qjzzyCHx8fIy2Xf1ZmTBhgtbrzz33nNbf+dLw+6++fiQnJ6OqqgrXrl0DUN9lJScnB+PGjWsyOKbh99YS3N3d0bdvX+zevVvzWFipVGLv3r3o27cvq/5/4eHhWiVi1E9GHnzwQQQGBjZ5Xf3Z43JtHTZsmNYxiY2NBcMwGDZsmOY1JycnREdH6/yM9+vXTyszEhsbi7i4OM1559Km4cOHNxkg6eHhgbNnzxq8N+jS8PNSW1uL4uJihISEwMPDQ+f9wti1/ejRo6itrcWYMWO0ljM3292QOvOslpSUpPVY3tRrni6DBw9m3few4XKlpaUoLy9HUlKS1vFr164dOnbsiD179mheUyqV+PXXX9GnTx/NOkxte1BQEHr27GmwTeXl5bh79y66dOmC7OxslJeXA6jPvNXV1WlldAFgzJgxTdZn6vWxIbb3ezbHUReZTKZ58qBUKlFcXAy5XI527drpfC+bc2vKvZ3rd68hTo+558yZg3bt2qG8vBzbtm3DqVOntDoB37p1CwzD4NNPP8Wnn36qcx0KhUJvKaG8vDysXLkSv//+e5M+Fob6fehz9+5dVFVVadLnDYWFhUGlUuH27dtaj0AbXtCBfx/hl5WVAQC6dOmCRx99FJ999hm+/vprdOnSBf369cPAgQObdIhu3bq11r/VgYp6XYboGuUaGhqKqqoq3L17V+txA5v3i0QitG3bVnPhvHHjBgBoPT5srLy83OAjUCcnJyQkJGiCyTNnziA5ORlJSUlQKpVIT0+Hn58fSkpKtIK8mzdvIjMzU9PHqDF1P6abN2+ivLxc73LqgRxqjY83UH/MG3+W9DHnfLFdp/ripO/10tJSrR8+bdu2bRIkhYaGAqjvZuLv78/6eKoFBQWxantubi7EYjFCQkK0Xvf394eHh4fms8SXK1euYMWKFTh+/HiT77v6JqIOeth09bCEwYMHY8+ePTh9+jQ6d+6Mo0ePoqioyGhdTTV95139g1xN/UNQ/dnjcm1tfC0z9NnT9R3Rdw3au3cv5zbp+uzNmDEDs2bNwsMPP4xOnTqhV69eGDx4sNb3QJf79+9j7dq1+Omnn5Cfn6/V71P9eWnI2LU9Ly9Ps48N+fj4GLwOsuXs7NzkR1zj65Op1zxd2H6/AeCPP/7A559/josXL2r1g258zRkwYACWL1+O/Px8tGzZEidPnoRCocDjjz/Oue362nnmzBmsWrUK6enpqKqq0vpbeXk53N3dNeeq8bXJy8urybky9frYENv7Pdvj2JhKpcKGDRvw/fffIycnRytR5OXl1WR5NufWlHs71+9eQ5yCydjYWM1o7n79+mHUqFF44403sG/fPri6umqi3eeee07nLw6g6clXUyqVmDBhAkpLS/H888+jffv2kMvlyM/Px6xZs1h1lOWDvlFv6guVSCTCypUrkZ6ejj/++AOHDh3C7NmzsX79emzevBmurq6a9+grUcTo6ewuJHUb3nrrLXTs2FHnMmwyLYmJiVizZg2qq6tx+vRpvPDCC/Dw8EBERATOnDkDX19fANAKJlUqFXr06IHnn39e5zrVF3OVSgVfX198/PHHOpdrfGE2tySUOedLX7ZY3zqNfc5MwfZ4qpk6YtLSGT+g/oY+ZswYuLm5Ydq0aQgJCYGzszMuXLiAjz/+mLfvP5usviEpKSnw8/PDjh070LlzZ+zYsQP+/v7o3r07q/fr+zwY++xxubbq+4zxNbKXS5t0jTodMGAAkpOTsX//fhw5cgRffvkl1q1bh1WrVmkG6eiyYMECTT+w+Ph4uLu7QyQS4bXXXtP5PeLzO8cFm+uTqdc8Xdh+v0+fPo0XX3wRnTt3xty5c+Hv7w+pVIpt27Zh165dWss+/vjjWLZsGfbu3Yvx48dj7969cHd3x0MPPcS57braeevWLYwfPx7t27fHrFmz0Lp1a0ilUvz111/4+uuvOV0HTL0+NsTmfm/KcWxszZo1+PTTT/HUU09h+vTp8PT0hFgsxqJFi3R+LtmcW1Pu7Vy/ew2ZPQDHyckJr7/+OsaNG4eNGzdi8uTJmmhWKpWyvriqXb58GTdu3MDSpUu1OoIfOXKkybJsb24+Pj5wcXHB9evXm/zt2rVrEIvFOrNZbMTHxyM+Ph6vvfYadu7ciRkzZmDPnj14+umnOa2vsZs3bzZ57caNG3BxcWF1QWn8foZhcPPmTU2HcPW5cnNzM3quDB3v5ORk1NbWYteuXcjPz9cEjZ07d8bp06fh6+uL0NBQTYd9oP4GU1lZaXS7ISEhOHbsGBITE22mZISnp6fOR4LqX8p8u3nzJhiG0ToH6l+ebdq0AcD+eJqqTZs2UKlUuHnzJsLCwjSvFxUVoaysTLN9Ppw8eRIlJSX47LPP0LlzZ83rjUfmqj+3ly9fNri/5pwnQ593JycnPPnkk9i+fTtmzJiBAwcO6Hx0yzdzrq1c6bsGqc87n20KCAjA6NGjMXr0aCgUCgwZMgRr1qwxeEP79ddfMXjwYK2Ru9XV1TqzkmyoM5c3btzQyszcvXuX1dMNPn50CXnN+/XXX+Hs7Iwvv/xSK8u2bdu2JssGBwcjNjYWe/fuxZgxY/Dbb7+hX79+Wu/jo+2///47ampq8Pnnn2tlkhs/Ilf/7datW1rnqri4uMm54uP6aOh+b8pxbOzXX39F165dsWjRIq3Xy8rKDE78YIgp93aA23evIV5+mqqHwX/zzTeorq6Gr68vunTpgs2bN6OgoKDJ8obSyepfjQ2jcYZhsGHDhibLqkfpGXv86OTkhB49euDgwYNaN6WioiLs2rULSUlJWv0K2SgtLW3yi0Ed/TdMb5srLS1Na3j+7du3cfDgQfTo0YPVjevnn3/WelS4b98+FBYWan5JRkdHIyQkBF999RUqKiqavL/huVIfb10X6bi4OEilUqxbtw5eXl6aLgNJSUk4e/YsTp061WS6vMcffxxpaWk4dOhQk/WVlZWhrq5Os5xSqcT//d//NVmurq7OrMfPXAUHB+PatWtax+fSpUtITU21yPYKCgq0Rg7eu3cPP//8Mzp27Kjp6sD2eJpKfTFpWHIHANavX6/1dz7o+v7X1NQ0KQnSqVMnBAUFYcOGDU3Of8P3mnOeDH3eAeA///kPSktLMWfOHFRWVuotF8Qnc66tXB04cECrL9W5c+dw9uxZzTWEjzYplcomx9nX1xcBAQFGr6e6roPffvst5+xz9+7dIZVK8d1332l9lhp//vVhe18yRMhrnpOTE0QikdbxysnJ0VvGb8CAAUhPT8e2bdtQXFys9Yibr7arz2njLguNA7Nu3bpBIpHghx9+0HpdXTawcbu4Xh/Z3O9NPY4NOTk5NVn/3r17zerDyPbebs53ryHeqmRPnDgR06dPx08//YSRI0di7ty5GDVqFAYOHIjhw4cjODgYRUVFSE9Px507d7Bjxw6d62nfvj1CQkKwdOlS5Ofnw83NDb/++qvOD6B6yPrChQuRkpICJycnPPHEEzrX++qrr+Lo0aMYNWoURo0aBScnJ2zevBk1NTV48803Td7f7du344cffkC/fv0QEhKCiooKbNmyBW5ublopf3NFRkZi4sSJWqWBALCeQtLT0xOjRo3C0KFDNaWB2rZti+HDhwOov3kvXLgQkyZNwpNPPomhQ4eiZcuWyM/Px4kTJ+Dm5oY1a9YA+Pd4f/LJJxgwYACkUil69+4NuVwOFxcXdOrUCenp6ejdu7fm13nnzp1RWVmJysrKJsHkxIkT8fvvv+OFF17AkCFD0KlTJ1RVVeHy5cv49ddfcfDgQfj4+KBLly4YMWIE1q5di4sXL6JHjx6QSqW4ceMG9u3bh3feeQePPfYYL8ebrWHDhuHrr7/GxIkTMWzYMCgUCmzatAnh4eE6v7jmCg0NxTvvvIOMjAz4+vpi27ZtUCgUWiWE2B5PU3Xo0AFDhgzB5s2bUVZWhs6dOyMjIwPbt29Hv3798OCDD/K2nwkJCfD09MSsWbMwduxYiEQi/PLLL00utGKxGPPmzcOLL76IwYMHY+jQofD398e1a9dw9epVzawg5pwnQ593oH7gWWRkJPbt24ewsDD2JTTMxPXaylVISAhGjhyJkSNHoqamBhs2bICXl5fW40Jz21RRUYFevXrh0UcfRYcOHSCXy3H06FFkZGQYncP44Ycfxi+//AI3NzeEh4cjPT0dR48e1dnXjA0fHx8899xzWLt2LaZMmYJevXrhn3/+wd9//80qS9SiRQuEh4dj7969CA0N1fy4NqV/r5DXvF69emH9+vV4/vnn8eSTT0KhUOD7779HSEgIMjMzmyz/+OOPY+nSpVi6dCm8vLyaZL34aLv6PS+88AKeeeYZVFRU4Mcff4Svr69mwCEA+Pn5Ydy4cZrSWj179kRmZqbmXDXMEptzfWRzvzf1ODb08MMPY/Xq1Xj77beRkJCAy5cvY+fOnSb1WWyM7b3dnO9eQ7wFk4888ogmCh4+fDjCw8Oxbds2fPbZZ9i+fTtKSkrg4+ODBx54AC+//LLe9UilUqxZswYLFy7E2rVr4ezsjP79+2P06NFNOrc/8sgjGDt2LHbv3o0dO3aAYRi9wWRERAQ2btyIZcuWYe3atWAYBrGxsfjoo4+a1Jhko0uXLsjIyMCePXtQVFQEd3d3xMbG4uOPPzbrA9CYuhjz6tWrkZeXh/DwcCxevBgdOnRg9f4XXngBmZmZ+O9//4uKigp069YNc+fO1aq91rVrV2zevBn/93//h++++w6VlZXw9/dHbGwsRowYoVkuNjYW06dPx6ZNm3Do0CGoVCocPHhQc3NNSkpCenq61ohtf39/tG3bFjdv3mwSTLq4uODbb7/F2rVrsW/fPvz8889wc3NDaGgoXnnlFa3Rz++//z6io6OxadMmfPLJJ3ByckKbNm0waNAgvbUMLSksLAxLly7FypUrsXjxYoSHh+PDDz/Erl27cPLkSd63Fxoaivfeew8ffvghrl+/jqCgIE3RWjVTjqepFi5ciKCgIGzfvh0HDhyAn58fpkyZgqlTp/Kxexre3t5Ys2YNli5dihUrVsDDwwODBg1Ct27dmhQD79mzJ7755husXr0aX331FRiGQXBwsOaHEmDeeTL2eQfqs5MfffQR64E3fOB6beVq8ODBEIvF+Oabb6BQKBAbG4v33nsPAQEBvLWpRYsWGDlyJI4cOYLffvsNDMMgJCREE6Qa8s4770AsFmPnzp2orq5GYmKi5qbO1auvvgqZTIZNmzbhxIkTiI2NxVdffYUpU6awev/ChQuxYMECLF68GLW1tZg6darJg8WEuuZ169YNH3zwAdatW4dFixYhKCgIM2bMQG5urs4gqFWrVkhISEBqaiqefvppnTUOzW17+/btsXLlSqxYsQJLly6Fn58fRo4cCR8fH8yePVtr2RkzZqBFixb48ccfcezYMcTHx+PLL7/EqFGjtB43m3N9ZHO/N/U4NvTCCy+gqqoKO3fuxJ49e/DAAw9g7dq1WLZsmdFjZQibe7s5372GRIwtjAIhOkVFRWH06NGYM2eOtZtCCNHhm2++weLFi/H77783GSVMCLEO9ROUV199ldUkAsR8tj1RJyGE2CiGYbB161Z07tyZAklCrKThNMtq6v6tXbp0Ebo5zRZvj7kJIaQ5qKysxO+//44TJ07g8uXLOgcaEEKEsWfPHmzfvh0PPfQQ5HI5UlNTsWvXLqSkpGh1uSKWRcEkIYSY4O7du3jjjTfg4eGBF154QTP3PCFEeFFRUXBycsIXX3yBiooK+Pr6Yty4cXj11Vet3bRmhfpMEkIIIYQQzqjPJCGEEEII4YyCSUIIIYQQwhn1meSBSqVCXV0dxGKxIPMXE0IIIcR8DMNApVJBIpHwNl99c0TBJA/q6uqQkZFh7WYQQgghhIOYmBitIufENBRM8kD9ayYmJobVfNlsKJVKZGRk8LpOwh2dD9tC58O20PmwLXQ+2FMfK8pKmoeCSR6oH207OTnx/sW1xDoJd3Q+bAudD9tC58O20Plgj7qomYdCcUIIIYQQwhkFk4QQQgghhDMKJgkhhBBCCGcUTBJCCCGEEM4omCSEEEIIIZxRMEkIIYQQQjijYJIQQgghhHBGwSQhhBBCCOGMgklCCCGEEMIZzYBDLErFqHCltBClNVXwlLkgwtMfYhH9hiGEEEIcBQWTxGJSi7KxJesMimsqNa95y+QYHpaERL9gK7aMEEIIIXyhFBGxiNSibKy9eEgrkASA4ppKrL14CKlF2VZqGSGEEEL4RMEk4Z2KUWFL1hmDy2y5dgYqRiVQiwghhBBiKRRMEt5dKS1skpFsrLi6EldKCwVqESGEEEIshYJJwrvSmipelyOEEEKI7aJgkvDOU+bC63KEEEIIsV0UTBLeRXj6w1smN7iMt7McEZ7+ArWIEEIIIZZCwSThnVgkxvCwJIPLDG+fRPUmCSGEEAdAd3NiEYl+wZjSsWeTDKW3sxxTOvakOpOEEEKIg6Ci5cRiEv2CEe/bhmbAIYQQQhwYBZPEosQiMaK8Wlq7GYQQQgixEEoREUIIIYQQziiYJIQQQgghnFEwSQghhBBCOKNgkhBCCCGEcEbBJCGEEEII4YyCSUIIIYQQwhkFk4QQQgghhDMKJgkhhBBCCGcUTBJCCCGEEM4omCSEEEIIIZzRdIqEENZUjIrmWieEEKKFgklCCCupRdnYknUGxTWVmte8ZXIMD0tCol+wFVtGCCHEmiilQAgxKrUoG2svHtIKJAGguKYSay8eQmpRtpVaRgghxNoomCSEGKRiVNiSdcbgMluunYGKUQnUIkIIIbaEgklCiEFXSgubZCQbK66uxJXSQoFaRAghxJZQMEkIMai0porX5QghhDgWCiYJIQZ5ylx4XY4QQohjoWCSEGJQhKc/vGVyg8t4O8sR4ekvUIsIIYTYEgomCSEGiUViDA9LMrjM8PZJVG+SEEKaKbr6E0KMSvQLxpSOPZtkKL2d5ZjSsSfVmSSEkGaMipYTQlhJ9AtGvG8bmgGHEEKIFgomCSGsiUViRHm1tHYzCCGE2BBKKRBCCCGEEM4omCSEEEIIIZzZdTCpVCqxYsUK9OnTB7GxsejXrx9Wr14NhmE0yzAMg08//RQpKSmIjY3F+PHjcePGDa31lJSU4I033kBiYiKSk5Mxe/ZsVFRUCLw3hBBCCCH2x66DyXXr1uGHH37AnDlzsGfPHsyYMQNffPEFvv32W61lvv32W8ybNw9btmyBi4sLJk6ciOrqas0yM2bMwNWrV7F+/XqsWbMGp0+fxpw5c6yxS4QQQgghdsWug8m0tDT07dsXDz/8MIKCgvDYY48hJSUF586dA1CfldywYQNefPFF9OvXDx06dMCHH36IgoICHDhwAACQlZWFQ4cOYeHChYiLi0NycjLeffdd7N69G/n5+dbcPUIIIYQQm2fXo7kTEhKwZcsWXL9+He3atcOlS5dw5swZzJo1CwCQk5ODwsJCdO/eXfMed3d3xMXFIS0tDU888QTS0tLg4eGBmJgYzTLdu3eHWCzGuXPn0L9/f9btUSqVvO2bel18rpNwR+fDttjC+VAxKlwtK9KUSQr38Gu2ZZJs4XyQf9H5YI+OET/sOpicPHky7t27h8cffxxOTk5QKpV47bXXMGjQIABAYWEhAMDX11frfb6+vigqKgIAFBUVwcfHR+vvEokEnp6emvezlZGRwXVXBF0n4Y7Oh22x1vm4XleOo7UFqGDqNK+5iiToLg1AO4m7VdpkC+j7YVvofBCh2HUwuXfvXuzcuRPLli1DeHg4Ll68iMWLFyMgIABDhgwRvD0xMTFwcnLiZV1KpRIZGRm8rpNwR+fDtljzfKQpcrA/M7PJ6xVMHfbX5GFSux5I8A0StE3WRt8P20Lngz31sSLmsetg8sMPP8TkyZPxxBNPAACioqKQl5eHtWvXYsiQIfD39wcAKBQKBAQEaN6nUCjQoUMHAICfnx/u3r2rtd66ujqUlpZq3s+Wk5MT719cS6yTcEfnw7YIfT5UjApbr6cZXGbrjTQk+gc3y0fe9P2wLXQ+iFDs+mp3//59iEQirdecnJw0pYGCgoLg7++PY8eOaf5+7949nD17FgkJCQDq+12WlZXh/PnzmmWOHz8OlUqF2NhYAfaCEGIvrpQWorim0uAyxdWVuFJqWhcZQgixZ3admezduzfWrFmDwMBAzWPu9evX46mnngIAiEQijBs3Dp9//jnatm2LoKAgfPrppwgICEC/fv0AAGFhYejZsyfee+89zJ8/H7W1tViwYAGeeOIJtGxJ08YRQv5VWlPF63KEEOII7DqYfPfdd/Hpp59i/vz5mkfZI0aMwMsvv6xZZtKkSaiqqsKcOXNQVlaGpKQkfPHFF3B2dtYs8/HHH2PBggV49tlnIRaL8cgjj+Ddd9+1xi4RQmyYp8yF1+UIIcQR2HUw6ebmhnfeeQfvvPOO3mVEIhGmT5+O6dOn613Gy8sLy5Yts0QTCSEOJMLTH94yucFH3d7OckR4mtbfmhBC7Jld95kkhBAhiUViDA9LMrjM8PZJzXLwDSGk+aIrHiGEmCDRLxhTOvaEt0yu9bq3sxxTOvZEol+wlVpGCCHWYdePuQkhxBoS/YIR79sGV0oLNTPgRHj6U0aSENIsUTBJCCEciEViRHlRxQdCCKGf0YQQQgghhDMKJgkhhBBCCGcUTBJCCCGEEM4omCSEEEIIIZxRMEkIIYQQQjijYJIQQgghhHBGwSQhhBBCCOGM6kwSQuyCilFpioS7S5yhYhhrN4kQQggomCSE2IHUomxsyTqD4ppKzWuuIglECn8kB7S1YssIIYRQMEkIsWmpRdlYe/FQk9crmDqsyzwCsVhM82ETQogVUZ9JQojNUjEqbMk6Y3CZLdfOQMWoBGoRIYSQxiiYJMTOqRgVMkvycbLgBjJL8h0qsLpSWqj1aFuX4upKXCktFKhFhBBCGqPH3ITYMV19Cb1lcgwPS3KIR7+lNVW8LkcIIYR/lJkkxE6p+xI2ztwV11Ri7cVDSC3KtlLL+OMpc+F1OUIIIfyjYJIQO9Rc+hJGePrDWyY3uIy3sxwRnv4CtYgQQkhjFEwSYocs2ZfQlvpgikViDA9LMrhMsl9biEV0KSOEEGuhPpOE2CFL9SW0xT6YiX7B6N+mI/bnXtT59/25F9Hew88h+ogSQog9op/zhNghS/QltNU+mCpGhdOFNw0u4wiP9AkhxF5RMEmIHeK7L6Et98Gk8kCEEGLbKJgkxA6x6Us4vH0S676EthywUXkgQgixbRRMEmKnEv2CMaVjzyYZSm9nOaZ07GlSH0JbDtioPBAhhNg2GoBDiB1L9AtGvG8bXCktRGlNFTxlLojw9Dd5dLMtB2zqR/qGMqdUHogQQqyHMpOE2DmxSIwor5boEhCKKK+WnMrk2HI9R74f6RNCCOEXXX0JITYfsOl9pC9zMfmRPiGEEH7RY25CCIB/A7YmdSad5Rje3vpzfTd8pF98vwKFt3LxWOKDkEqkVm0XIYQ0dxRMEkI0+OqDaSnqR/pKpRLpucU20y5CCGnOKJgkhGhRB2yEEEIIG/SznhBCCCGEcEbBJCGEEEII4YyCSUIIIYQQwhkFk4QQQgghhDMagEMI4YWKUdnsKHBCCCGWQ8EkIcRsqUXZTetTyuQYHmb9+pSEEEIsi9IGhDRDKkaFzJJ8nCy4gcySfKgYFed1pRZlY+3FQ03mzi6uqcTai4eQWpRtbnMJIYTYMMpMEtLM8JlFVDEqbMk6Y3CZLdfOIN63DT3yJoQQB0VXd0KaEb6ziFdKC5usq7Hi6kpcKS00ua2EEELsg+DBZHY2PfIixBrYZhFNeeRdWlPF63KEEELsj+DBZP/+/TF27Fj88ssvqK6uFnrzhNgcPvsvGmKJLKKnzIXX5QghhNgfwftMbt++Hdu2bcOSJUuwYMECDBgwAMOGDUNsbKzJ6+rTpw9yc3ObvD5q1CjMnTsX1dXVWLJkCfbs2YOamhqkpKRg7ty58PPz0yybl5eHefPm4cSJE5DL5Rg8eDDeeOMNSCTUnZRYnpCjoC2RRYzw9Ie3TG4wSPV2liPC05/1OgkhhNgXwTOTHTt2xLvvvotDhw5h0aJFKCgowKhRo/Dkk09i/fr1uHv3Lut1bd26FYcPH9b8t379egDAY489BgBYtGgR/vjjD6xYsQLffvstCgoKMHXqVM37lUolpkyZgtraWmzatAlLlizB9u3bsXLlSn53mhAdhB4FbYksolgkxvCwJIPLDG+fRINvCCHEgVntCi+RSPDII49g5cqVmDFjBm7evImlS5eiV69eeOutt1BQUGB0HT4+PvD399f898cffyAkJARdunRBeXk5tm3bhlmzZqFbt26Ijo7GokWLkJaWhvT0dADA4cOHcfXqVXz00Ufo2LEjevXqhenTp2Pjxo2oqamx8BEgzZkl+i8ao84iGsIli5joF4wpHXs2Wbe3sxxTOvakOpOEEOLgrPYsNyMjA9u2bcOePXvg4uKC5557DsOGDUN+fj4+++wzvPTSS9i6dSvr9dXU1GDHjh2YMGECRCIRzp8/j9raWnTv3l2zTFhYGAIDA5Geno74+Hikp6cjMjJS67F3SkoK5s2bh6tXr+KBBx4waZ+USqVJy7NZF5/rdEQqRoWrZUWaWVfCPfwskgXj+3xcLi1g1X8xszgfkZ4BvGwTAIa1S8C6zCP6/x6aAEbFQAnT9jPOOxAxSa10ngtLfIbp+2Fb6HzYFjof7NEx4ofgweT69evx008/4fr163jooYc02UixuD4ACA4OxpIlS9CnTx+T1nvgwAGUl5djyJAhAICioiJIpVJ4eHhoLefr64vCwkLNMg0DSQCaf6uXMUVGRobJ77HGOh3F9bpyHK0tQAVTp3nNVSRBd2kA2kncLbJNvs7H1boyVsudu3IJlZI8XrYJACIA/WWBeo+bKLsI6dlFZm1DCqASxTgH/tqtD30/bAudD9tC54MIRfBg8ocffsBTTz2FIUOGICBAd8bFx8cHH3zwgUnr3bZtGx566CG0bNmSj2ZyEhMTAycnJ17WpVQqkZGRwes6HUmaIgf7MzObvF7B1GF/TR4mteuBBN8g3rbH9/mQlxbg9wu3jS4XG9GB18wkAMQD+I9AGV1Loe+HbaHzYVvofLCnPlbEPIIHk1999RUCAwM1mUg1hmFw+/ZtBAYGQiaTaTKMbOTm5uLo0aNYtWqV5jU/Pz/U1tairKxMKzupUCjg7++vWebcuXNa6yoqqs/KqJcxhZOTE+9fXEus096pGBW2Xk8zuMzWG2lI9A/mPUDi63xEebdkNQo6yrulRYI8Jziho09r3tfLlopR4UppoSaYjfD057Sf9P2wLXQ+bAudDyIUq9SZLC4ubvJ6SUkJ+vbty2mdP/30E3x9ffHwww9rXouOjoZUKsWxY8c0r127dg15eXmIj48HAMTHx+Py5ctQKBSaZY4ePQo3NzeEh4dzaguxPEeYdaU5j4JOLcrG7JM7sDzjIL7MPIrlGQcx++QOmsObEELslOB3KoZhdL5eWVkJZ2dnk9enUqnw008/YfDgwVq1Id3d3fHUU09hyZIlOH78OM6fP4/Zs2cjISFBE0ympKQgPDwcb731Fi5duoRDhw5hxYoVGD16NGQyGaf9I5bnKLOuNMdR0EKXQ7IlQhWnJ4QQoQn2mHvx4sUAAJFIhE8//RQuLv/WslMqlTh37hw6dOhg8nqPHj2KvLw8PPXUU03+Nnv2bIjFYkybNk2raLmak5MT1qxZg3nz5mHEiBFwcXHBkCFDMG3aNA57SITiSLOuJPoFI963DS+PfG0d23JI8b5tHG7/hSxOTwghQhMsmPznn38A1GcmL1++DKlUqvmbTCZDhw4d8Nxzz5m83pSUFGTqGIgBAM7Ozpg7d65WANlYmzZtsG7dOpO3S6zH0WZdEYvEiPKy3sAxoZjSPcGRjoc6G9uYOhvrqFloQkjzIVgw+e233wIA3n77bbzzzjtwc3MTatPEwaj7G+q6QatZur8hXwNImhNH6Z5giuacjSWENB+Cj+ZWP+4mxBzq/oZNHh06yzG8vWUfHdIjS24cqXsCW801G0sIaV4ECSYbzodtzGeffWbBlhBHYo3+hmmKHJ0zyNAjS+McrXsCG80xG0sIaX4ECSbd3S0zGwkhQvY3VDEMtl5PNbgMPbLUzxa6JwitOWZjCSHNjyDBJD3aJo7gjqoKJUYySPTI0jBrdk+whuaYjSWEND+C95kkxF5VNpjL2hB6ZGlYcyqH1ByzsYSQ5kfwYLJPnz4QiUR6/37w4EEBW0MIe3IRu68LPbI0rrmUQwKsm42lqgOEECEIHkw+++yzWv+uq6vDP//8g8OHD2PixIlCN4cQ1lqJXeAlczH4qJseWRJdrJGNpaoDhBChWD2YVNu4cSPOnz8vcGtIc8BXdkYsEuHpdok6R3Or0SNLoo+Q2VgqlE4IEZLN9Jl86KGHsGzZMhqsQ3jFd3YmwTeoWQ0gIfaHCqUTQoRmM8Hkvn374OXlZe1mEAdiqexMcxpAQuwPFUonhAhN8GBy8ODBWgNwGIZBUVER7t69a3AObUJMYensTHMaQELsCxVKJ4QITfBgsl+/flr/FolE8PHxQZcuXRAWFiZ0c4iDouwMaa6oUDohRGiCB5OmTK1ICFeUnSHNFRVKJ4QITfBOXn/99RcOHWraj+3QoUP466+/hG4OcVCUnSHNiYpRIbMkHycLbuBKaSGebp9gcHmqOkAI4ZPgmcmPP/4YM2bMaPI6wzBYtmwZevXqJXSTCAe2XgyZsjOkudBXsaB/m444XXiTqg4QQixO8GDy5s2bOvtGtm/fHrdu3RK6OYQDeyiGTNPYkebAUMWC/bkXMalDCtylzjb7o48Q4hgEv6q4u7sjOzu7yeu3bt2Ciws9crR16ptX44yfutxOalHTc2st6mnsvGVyrde9neVUtJnYPTYVC7ZeT0WEpz+6BIQiyqslBZKEEIsQPDPZt29fLFq0CKtXr0ZISAiA+mzlkiVL0KdPH6GbQ0xgj8WQqSYkcVRUsYAQYisEDybffPNNPP/883j88cfRsmX9BS4/Px9JSUmYOXOm0M0hJrDXmxfVhCR8s4U+w1SxgBBiKwQPJt3d3bFp0yYcOXIEly5dQosWLRAVFYXOnTsL3RRiIlu7ednCDZ00P7bSZ5gqFhBCbIVVplMUiURISUlBSkqKNTbvsCwdXLG9Kd2uLEVmSb5FgztbuaFbCgXKtslSU3RyQRULCCG2wirBZGVlJU6dOoW8vDzU1tZq/W3cuHHWaJLdEyK4YnPzAoA92RewJ/uCxYI7U27o9hiUOXqgbK9src8wVSwghNgKwYPJf/75B5MnT0ZVVRWqqqrg6emJ4uJiuLi4wMfHh4JJDkzNlnANsNjcvNhs3xym3NDTFbl2F5TZUuaLaLPFPsPqigVNPudUT5IQIiDBg8nFixejd+/emD9/PpKSkrBlyxZIJBK8+eabFEhyYGq2xNysl76bF9vtm4vtDX3PrQvYeSuj6d9sOCiztcwX0WZrfYbVqGIBIcTaBL/aXLx4ERMmTIBYLIaTkxNqamrQunVrvPnmm1i+fLnQzbF7pmRL+KoRmegXjEVdBuH1mL4YENzJ6PLq7fOB7Y3697xMg3/fcu0MVIyKjybxxpRzSYRnywNe1BULqJ4kIcQaBL/iSCQSiMX1m/X19UVeXh4AwM3NDXfu3BG6OXaPbXBVXF3JKuvFNsBS37xayz1ZLc9Xtobtjbqirsbg320xKLPVzBepp+4zbAgNeCGENEeCB5MPPPAAMjLqHz927twZK1euxI4dO7Bo0SJEREQI3Ry7xza4uldbbZGsl9DZGjY3dFeJjNW6bC0os+XMF19UjAqZJfk4WXADmSX5NpcdNkTdZ9gQGvBCCGmOBL/qvfbaa/D399f8fw8PD8ybNw/FxcVYsGCB0M2xe2yzJe4yZ1brMzXAEjpbw+aG3icwitW6uARllgyGHD3zlVqUjdknd2B5xkF8mXkUyzMOYvbJHTY1BacxNEUnIYQ0JcgAnIMHD+Khhx6CVCpFTEyM5nVfX198+eWXQjTBYbEtD8I2W2dqgGWN8iTGRrDG+7bB4TtZvNffu15Xji1ndqGkQcDN5+hwRy714kij1GnACyGEaBPk6jd16lSUl5cDADp27AiFQiHEZpsNNtkSS2a9rJGtaTgIaGJUd7we0xeLOg9Col+wRR5HpilysL8mTyuQBEwfvGSMI2a+2I5St7dH3jTghRBC6gmSmfTx8UF6ejr69OkDhmEgEomE2GyzYixbYumslzWyNYbm3Oaz/p6KUeHH66kGl/n+6knE+rSGRGz+V8rRMl+2WJ+REEIIfwQJJp955hm89NJLEIlEEIlE6NGjh95lL168KESTHJKh4AqwfIFjY9sXGl9B2ZXSwiYZycbKa6sx88QvGB3RhbdH3rZ0LM1Bo9QJIcSxCRJMvvLKKxgwYABu3bqFF198EYsXL4a7u7sQmyaN2GrWy1LTHvIRlLENcu7VVWPtxUMYGBKDABd3mzm21tYcRqkTQkhzJtgMOGFhYQgLC8PUqVPx2GOPwcWFbhzWYmtZL1ufi9rUIKfhzDu2tB/WwmZOd3sepU4IIc2d4CmTqVOnUiDpoLiUzeFrVh5LivD0hxfHrJm5+2HPdRnVqD4jIYQ4NsHn5ia2jevjZi7ZRXPnorbUo/HGxCIxkv3a4kDeJc7rYDundsN9Kqgqx6E7Vy1WikhIXPvrCnWOCXcqRoXLpQW4WlcGeWkBorxpdDshzQ0Fkw6Arxsu18fNXGsImjPKV8hH46lF2WYFkgC70cq69qnJeuywLqOaqf11DZ3jOO9AoZqtFwW6Tc/R7xdu2+0PHkIIdxRM2jm+giquAaE52UWuo3yFLIDNZv/YMrS/+vZJH7aZTlvDtr+usXM8KaoHhC4w1iRrfPsqSmrtP2vMlSMVordH9GOG2BJBPnldunTB3bt3AQBvv/027t27J8RmHR5f/Q3NKSptSnaxMS6jfIUugM1m/9jSt79cAlYu86jbCzbHY+v1VKgYRqAWNZ0KcuetDK1AErCtfr6W5oiF6O2JI0xNShyLIMFkbW0tKioqAAA///wzampqhNisQ+PzYm5OQHhWkWN0/YDurByXWXnMaSsXfNU+9JbpH62cWVLAKWB11LqMrM5xTRXuqITZf30/2vRpDkGU0N9D8i97GLRImh9BHnPHx8fjpZdeQnR0NBiGwcKFC+Hs7Kxz2cWLFwvRJLvH56wi5jxuPpiXyeq9urJyXGblEboANl+1D1Nahel8BJValI3vrpzgtE5HrcvI9txVMnUWbol5WWNbKr/FNypEbx1skwgxia0EahEh9QTJTH700Ufo1asXKioqIBKJUF5ejrKyMp3/mSo/Px8zZsxA165dERsbi4EDByIj4986fwzD4NNPP0VKSgpiY2Mxfvx43LhxQ2sdJSUleOONN5CYmIjk5GTMnj1bk0m1VWwv0mwyh5Z63KzmLnVGcXWlztI2ps5FLXQBbDbZUzYCXJoW6VdnGCrqTM/UO3JdRrbnrlRl+SccXLs5OHoQRYXorYNtEuFqWZFALSKkniCZST8/P8yYMQMA0KdPH3z44Yfw9vY2e72lpaUYOXIkunbtinXr1sHb2xs3b96Ep6enZpl169bh22+/xZIlSxAUFIRPP/0UEydOxJ49ezTZ0RkzZqCwsBDr169HbW0tZs+ejTlz5mDZsmVmt9FS2F6kTxTewLD2CQY7ZnMpKm3KTba8thrrLx+rX4+OQQqmjPIVugA2m+wpG43Pl7kDexy5LqO6rqexKSwv1pVAxajgBCeLtYVrUOjoQRQVorcOUzLCUgu3hZCGBL8b/f7777wEkkB9oNiqVSssXrwYsbGxCA4ORkpKCkJCQgDUZyU3bNiAF198Ef369UOHDh3w4YcfoqCgAAcOHAAAZGVl4dChQ1i4cCHi4uKQnJyMd999F7t370Z+fj4v7bSECE9/uEl1dxVo6F5ttdF+S1yKSnO9yerr16Me5dslIBRRXvrr1FmjAHaiXzAmRfWAq0j7t5e3sxyTO/Qwud8nwD3jpS9jq489Fj0Xi8To2Src6HKVUFo8A8MlKGwOQRQVorcOyggTW2WV0kAnT57EV199haysLAD1Uy0+//zzSE5ONmk9v//+O1JSUjBt2jScOnUKLVu2xKhRozB8+HAAQE5ODgoLC9G9e3fNe9zd3REXF4e0tDQ88cQTSEtLg4eHB2JiYjTLdO/eHWKxGOfOnUP//v1Zt0epVJrUfjbrMrTOzn5t8cfty0bXVXy/wuB6VIwKLmIJereOxMnCG1qPXb1lLhjWLhFx3oFa63CXGA9kDdmSdRoxXq043WzivAMxKaoHfrye2qig979tra2rxdWyIk2mM9zDz6wbW6xXazAt2kMe2grldTVa62QYYF3mEb3vHRaaAEbFQIl/j1/xfXbdKORiCXq36YCAFm5a22TzWUtT5DQ5Rl4yFzzdLhFxPoG8Hh+++Tm7slrO2GfbXO3dfFhlSRvSdb4dEZvvoSXPTXPE5vPoLXNBO1cfXEAeHX8W6BjxQ/Bg8pdffsHs2bPRv39/jB07FgCQmpqK8ePHY/HixRg4cCDrdWVnZ+OHH37AhAkT8MILLyAjIwMLFy6EVCrFkCFDUFhYn5Hz9fXVep+vry+KiuozGkVFRfDx8dH6u0Qigaenp+b9bDXsq8kXQ+t0VbK7wRXeykV6brHOv12vK8fR2gJUNBjM0AJOCJe4I9TJHa3ELhBlFyE9WzsDpGIYuIokWu8zRXFNFfalHkegE7f+iCIAw5yCcce5CpVMHeQiiaat269fb7JPriIJuksD0E7StO+iMSqGwR3V/7ZzrQqtxC6oFIlwDnmatvSXBerdpq7jV6hkl5V8WNIKbRS1AIpRiWLNNo25XleO/TVNly2pqcK6zCNwhhjV+DdLac7xsQS2x0eRcxvpt0st2pbO8MZ+GP+uGTrfjsrQ97C5HAOhGfs8JsMbF86fB2CZexIhuggeTK5ZswZvvvkmxo8fr3lt3LhxWL9+Pf7v//7PpGCSYRhER0fj9ddfBwA88MADuHLlCjZt2oQhQ4bw3XSjYmJi4OTET/8tpVKJjIwMg+uMZVQ4fKbI6K/UxxIf1Jl1SlPkYH9m09HY96HE+boSdAvrhATfIL3rFin8DWbkjPEPaYN4/7aaf6sYldnZMn37VMHUYX9NHia162Fwn3Stb6ue7F7D9cQD+I8J7Wd77gYkdTP5GKgYFbac2WVwmYaBJKB9fGwha8nm+LiKJOgf1wVSiWUvY/EAQvVkeVNahsG/Uda4OWJzvSL8iIfuz6M6I5zgG0TnwwTqY0XMI3gwmZ2djd69ezd5vU+fPli+fLlJ6/L390dYWJjWa+3bt8evv/6q+TsAKBQKBAQEaJZRKBTo0KEDgPrBQeqC6mp1dXUoLS3VvJ8tJycn3r+4htbpBCeMCEs2XFonLBlSSdOu2CpGha3X0wxue+uNNCT6B+u9QSYHtIVYLG4yA4+71BnltdUG1w0ARdUVmn3jYyYfPvap8SwnO281vcios3uN+y46wQkdfVqzaqs5586YqyWGgzBDvs86hR+vO1l9PnA2x6e7NABSiUSQm2VyQFsk+gfTjCNGWOIaSJpi+3mk80GEIngw2bp1axw7dgxt27bVev3o0aNo3ZrdjVgtMTER169f13rtxo0baNOmDQAgKCgI/v7+OHbsGDp27AgAuHfvHs6ePYuRI0cCABISElBWVobz588jOjoaAHD8+HGoVCrExsZy2kchqUvrNAnEnOUY3l5/AMBXnUpdI7HDPHzxzsmdTWYIaezwnSwMCOmEdEUuL9OymbtPbObGbmhz1mnInSQoq63mFFxwPXfGmFOWRleZImtNj2fo+AwLTYBI4MeobKeCJEQI9HkktkTwYHLChAlYuHAhLl68iISEBAD1fSa3b9+Od955x6R1Pfvssxg5ciTWrFmDxx9/HOfOncOWLVvw/vvvAwBEIhHGjRuHzz//HG3bttWUBgoICEC/fv0A1A/+6dmzJ9577z3Mnz8ftbW1WLBgAZ544gm0bGkfX1RTSuuosQ04UotuAYDB9em6qPVsHa4zq9dQcU0lLpfkc57buzFzCimbOjc2UJ+h/OT8H5p/c8ngcTl3xlhqJKc15gPXd3wYFUN98gghxEYIHkyOGjUK/v7++Oqrr7Bv3z4A9Y+mP/nkE02Ax1ZsbCw+++wzLF++HKtXr0ZQUBBmz56NQYMGaZaZNGkSqqqqMGfOHJSVlSEpKQlffPGF1gw8H3/8MRYsWIBnn30WYrEYjzzyCN59911+dlggpv5KZRtw/Hn7Cv68fcXkQElXkW5dMkuNTyXIdkYRrmUzzK35qMY1g8d3hoFNDUAurDWzi67j4+gjpQkhxJ5YpTRQ//79TSq5Y0jv3r119sFUE4lEmD59OqZPn653GS8vL5suUG4JpgYcpgZKfGfH2GQdwzx8IYIIDBi9y4ggQpiH9uh+rjUf9bFGBq8hvgqt62KvM7s07AtL/R0JIYRfVgkmifVxDTjYBkpsZ8iI9GyJPdkXjG7Xg0WB9qwyhcFAEgAYMMgqU2hluvgOkITM4OkLkvT1N3SVyDhN36hmj8WQ+RjcRUhzRT/ECBsUTDZj+gIOQ4qrK3Gp5A6cRE4GLy5sgtXh7ZMQ5RXAKkO6PvM4RoQnG7z5c+0zaYkAyZwAle3F21iQpK+/Yboit8n7vGQuqFUpDQaa9jizi76+sNYaVESIPaEfYoQtCiabuYYBR2rRLfx5+4rR93x6/k+tf+u7uKiD1e+unGgSpLhKZADqg85h7ROx7tJhg9ssqa0yevMvqCo32nagafBoiT6GXANUYxdvdaB5VpGDg3lN62k2DpJ09Tc0FGQaC/7tKSPBpi+stbskENNRpkwY9EOMmIKCSaIVcLAJJhszdnHRle2qqKvB2ouH0L9NR5wuvMl6W/pu/qlF2UZHjwO6s2tssqhPBEejKl+B6PAobLh6wnCxcY4ZPGMX7/5tOuBYwXXcY1HD01iQpC/ItESpImvhq/wVsR2UKRMG/RAjphI8mDx+/DgefPBBoTdLWDA3Q9f44sLmgrQ/96JJ29B18zdlNLa+7JqxQCrOOxDpinR08GppvNh4+yQAQGZJPuvsCbtjdcnY7mlwDZIsUarIWth2NSipqTTpXBHrsPdMmT1lVOmHGDGV4MHk888/j1atWmHo0KEYMmSIyYXKieWYOwq48cWF71HSDbfTENvtDAyJMXizMRRIKZVKreUMBZ4AMPvkDpOyJ5Y4Vlz7bTpKMWS2XQ22ZKXiXt2/2V7KdNkee8+U2VtG1ZyavaR5Evxb9/fff2PMmDH49ddf0a9fP0ycOBF79uxBTQ33EaaEP4l+wZjcoQdaOHH7nXGp5A5UTP28z5a60Px4PRWpRdmaf7PdDpval+pAqktAKKK8Wuq9MSX6BWNRl0F4PaYvJkZ1x+sxfbGoc31907UXDzUJDNXZk4btbsgSx8oeR17zSZ1pN6ZhIAkYP1eWomJUyCzJx8mCG8gsydd8j4hpmTJbo86omnpNsCauNXtJ8yV4MOnj44Px48fjl19+wZYtWxAaGor58+ejZ8+eWLhwIS5dYv8oj/AvtSgbP15Lw31lHaf378m+gNkndyC1KNtiF5p7tdVaF2FzLnzm3MAbB54AWGVPdG2D72NljyOv+abOtHOl71xZQmpRNmaf3IHlGQfxZeZRLM84qPkeEfvNlLHNqNraDwc2P8ToGkMasurzgE6dOmHy5MkYM2YMKisrsW3bNgwdOhSjRo3ClSumDwQhTZkSLOn7BW0q9S/ujLu5EEFk1roMUV+EuV74+L6Bm5M9YZtFY8veRl5birpLQuNj686ibqlQmS5bzFzZWpbUXjNl9ppRZfNDjK4xpCGrjOaura3FwYMHsW3bNhw9ehTR0dGYM2cOnnjiCdy9excrVqzA9OnTsWfPHms0z2GY0k+HrykFGzJlwAgXDftosqlp2fDCZ4nO/OZkT/iatcZeR15bkrov7OWSfGSWFgAAGIbB3px/jL7X0pkuW+wLaIv9+9hOgmBrmTJ7zagCjlfdgViW4MHkggULsGvXLgDAoEGD8OabbyIyMlLzd7lcjpkzZ6Jnz55CN82hmBosWWqwjD4iiNC3TRQOmBlwqi/Cplz4LHUDNzV70nB0p7u0BeROEvQNjMKJwhusyv80NiC4Ewa2jaFsgQ66CrWzYelMl62NmrXVEdNsJ0Gwtc++vWZU1RypugOxLMGDyatXr+K9997DI488AplMpnMZb29vbNiwQeCWOQ5TgiWg/oZ2pvAWq3XLxE6oUSmNL2gEAwaxPm0Q5uGvMwDsEdAeu7LPG11Pw4sw2wufpW7gbLInIohQXlutM/vTkJvEGV0DQhHnG4TMknzsZnEsOni1svuLvCXKp+gLkIwRItNlS5krS/3I4uuc2mOmzF4zqg05SnUHYlmCBpO1tbUIDAxEXFyc3kASACQSCbp06SJgyxwL22Bpw+UTOHc316S5mvkIJNVKa6rQJSC0SQBYXluNH1k8ctdXgNzYhc9SN3A22RMGjNHZfoD6EcYH8zIR7hmAJ9tG48/blx1uqsPGLPF41ZzuG0Jkumwpc2WJH1l8n1N7yJQ1Dp6NzfClLid2qfi2phtGpGdLRHkF2NR+EWKIoMGkVCrFb7/9hpdeeknIzTY7bIOgYwXXLdwSw9Q3yIYBYGpRNqtgC9C+2ZuS/eA67SIb6tJK6y4dBQPG5Pc39v3Vk6hRJqJPYJTBGX5s8RGfKSz1eJVL9w0hM122lLni+0eWpc6pLWfK9AXP6pm+9NWlnXH8J60fi3uyL8BVIsOYiK42mXElpDHBH3P369cPBw8exPjx44XedLNhq/1vGmp4g1QHgsXVlfjxeqrx9zbKbJiS/WA77SIAXG4wK0p7Nx+2uwY3aQteAkkAKK+txvrLxwD8O595w5uOLT/iY8uSg1DYBj4DgjuhtdxT8EyXLfUF5DNLaosDiyzNUPC8P/ciJnfoATdpC60fvOmKXL3nXj3lrK3P7EMIYIVgsm3btli9ejVSU1PRqVMnuLhoX5jGjRsndJMcjrnTIgohpWUYAN2BoDE9WrbXCiTZZj9MfeTZsM+ml8wFneGNeBbvs1T/NnUQOTAkBgEu7lqBjz1N1daYJQehsA2QOni1slq2y1b6AvKZJbW1gUWWxuba8uP1NCzqPEjracrmrNNG170567RDBd3EMQkeTG7duhXu7u44f/48zp/XHlQgEokomDSRviCCjzIzlrTzVgZ+z8s0qb+m2h+3L+OJttEA2BUJV1+IzRmxXlJThf2oQqgiB8kBbQ0ua+nM8OH8LK2bki2WctFF32fVkoNQbOkxsiGm9gW0xI8HPrOktjSwSAhcgucrpYUoYbH/JTVVDhN0E8cleDD5+++/C71Jh2UoiIj3bQNnsQTVKm4z2TTmKnFGjHdrHC+8wcv6AHAKJNXvUxf5NeUCzseNa+v1VCT6Bxu8oVo6M9xwn2y1lEtjhj6rlhyEYkuPkY1h2xfQkj8e+MqS2tLAIiFwCZ5NuR45StBNHJdVipYT8xkLIp4IjuYtkHwqNAE+LVyx8fIJXtbHBy4XYj5uXMUssgRCZIbPKnIQ4elvNDNbP4CnTpN9s0bQZOyzOqlDikWzh7byGJkPpnbr4JK95GPEtL1khPnCJXg25XrkKEE3cVxWCSbv3LmDgwcP4vbt26itrdX629tvv22NJtkVNv1zfsu5yNv2Smoqse1GGm/r4wOXCzFfGUM2gayxAAYApyLaagfzMiGXyIy+v+EAHkOzH1mqvyWbz+rW66l4un0C/nvpiN5lzM0e2kNJGWNMGdSiq0i7KdlLc0dM21NGmA9cgucIT394yVyMPur2+t9nlRBbJngweezYMbz44osIDg7GtWvXEBERgdzcXDAMgwceeEDo5tglNv1zahn+6kGeKLjB27r40PCibMoFnK+MIdtA1lgAE+/bBntuXWA9uryx3/MyTVpeV/bK0v0t2fYlc5O2sHj20JZLyjSmK8Bneyx33zyvs+C/0F0fHCkjbAyX4FksEmNEWLLR69GIsGSHCbqJ4xI8mFy2bBmee+45TJs2DQkJCVi1ahV8fHwwY8YMmkKRJSH7z7hLnVHOYWo/S2p4UTZ2AR/WLlHrphzv20bnDY4tbxOzBMYCmMN3skxugxrXPqcNs1eW7m9pSl8yXQXs7S17yAd9AT7bc2Fs5ighS/I4QkaYLS7Bs/o931050eT7THUmiT0RPJjMysrC8uXL6zcukeD+/ftwdXXF9OnT8dJLL2HUqFFCN8nuCNl/prNfW/x++zLn93vL5KhR1XEOfBoSQYTnO/RocnF1lch0Xoi7twzD1mupOrNui7oM0tzgXCXO+DLzCKs2xvsG40ppIS83RD7mQ3cRS1BlYt/Y4upKXC7JF6QOINvPqru0BQDrZw+tXWLJUJ/IgyZmovURuiSPtc+pkLgEz+r3XC7JpxlwiN0SPJiUy+WafpL+/v64desWIiIiAADFxcVCN8cuCVVHsm9gFHycXTm/f0BwJwxsG2OwMK8pJnXojiT/EM0N/6wiR+8NtqKuBvtzm/Yb1Zd1GxPR1WAbRQAY1Jcl+uP2ZV4eBfORYW7n4Yd/Su6Y/L7M0gJB6gCy/ax+ffkYRoQlWzULY+4jf3MDUTZ9IkUQ8VIQn0YHWw6X4FksEqODd2t08G5toVYRYlmCB5NxcXE4c+YMwsLC0KtXLyxduhSXL1/G/v37ERcXJ3Rz7JJQdSTjfINQYkbA2sGrFcQisd7HP2y5SpwxJqILEv2CORU516Vx1s1YGxvfvg09CmYbVPCRYfZv4Q7A9GCSLXODDraf1ZKaKquWMjK3xBIffU/ZZKr5mlmJRgcTQvgkeDD59ttvo6KiAgDwyiuvoKKiAnv27EFoaChmzZoldHPsljr42XjlJO7VGe/T2C2gHc4qclCprDW6LFB/I1R3+uei8cjFxo9/3KUt8PXlY6yK9krFYsT7ttF7w+dCV9Yt0S8YDKMyOKq4scZBqSlBBR8Z5gAXd5Pf4+0sR6RnS+zJvmB0WT6CDvVndfPV0yipNXy+rTHFnrlT//FV65Nt4N43MAqpRdmcPzeOVJKHEGIbBA8mg4P/vajK5XK8//77QjfBYST6BSPWpzVmnvwF9wwMknGVOONYwXWT1j08rH6QC9eAp/HAF3V2rmHwxmYkI1Cftbpcko/NV41PPWaKs4ocrfaoGBV+vGZaCSRzCoibm2H2dpbj4cBwHMi9ZNL5Gd4+CVFeAaxHwvPRjzDRLxhyJwk+Of+HweWE6M/XeH8YRsX5kT+fc1CzDdzjfIMwrH0CrpQWIrXoFv68fYXV+9QcqSQPIcQ2UNFyOycRSzA6vIuRgMS0R2POYgnifdsAMD3g8ZK5oLN/qM6BL8PaJ8Jd6qw1srpvYBSrgQV/3b5qNKtlqpOFNzCsfYLmxsp1QExpTRXnoMLQCNBkv7Y6+32qDW+fBIlYwvr8NB5VyqaUiTn1ChsHbSU19422EbBsfz5dmWNXJxmr9+pqF59zUJtSq7DhDzO2waQIIkzq0J1GBxNCeCdIMNm5c2eIRCJWy548edLCrXE8hgKSlJZhJtcxrFbVad38DJWvaGhgSAxayz10PiYurqnEukuHtV7zlsmR0iqMVZtSFdkm7AE75bXVWvtZXM3tsaGnzMWsoMLQCND2Hn5GS43oO/9eMhf0bBWOABd3nRlFNoXVuT6+1RW0uUmdDR4fNUv159OXOa5Qsqs0oKtdfM5BzaVWoSlPDp7v0ANJ/iGs2ksIIaYQJJicPXu2EJtp1vQFJCcLbnJa3595l7XWo17/nlsX8HteplZQ6SqRoU9gFB4L7oh3T+1ivY3imkrOBbv5or7JpxZl48frqSa/X50pOl14y6TtNaZvBCjbUiNc6/npex8AzD65w+B79T2+1Re0GeqKoWap/nxsMseGqPsQN8b3HNSm1ipkE4A2HMBGzGft8lGE2CJBgskhQ4YIsZlmr2FAor7gXbibx2ldqYpsTTaw4WPNJ9vGYEBIJ62gsqKuBjtvZeCPvMusBgPZEk+Zi1kDe9SZIr6DiobYlhrhWs9P1/syS/I5ZVrNDdos1Z/P3JqeNao6pCtyOQ2iMnU6PFN/GOgLQNU/8gaEdKJghyeWnjGKEHtl1T6T1dXVTebmdnNzs1JrHAdf5XPU1I81B4bEIMDFHQVV5TozivYWSHo7yxHm4WtSNrUhV4lM07eUy9y8tozr41u2QZu6bqeapafYY7s/zmIJqnUUga+oq+E8iKpWpdQZiBpi6g8DoWeaaZyda+/mY5Ht2BK+Ru0T4ogEDyYrKyvx8ccfY+/evSgpKWny94sX9Q84IMbxWT6nMWs/kubb0+0SkFWm4Bx0V9TVaDJzXPq72TKumVa2QZs6kOzk1RoPeLfGw4HhkIgtdzliuz8SsRjVKv1/NzSISl+fYn2BKN+EmmlG149VL5kLOsMb8RbfunXwOWqfEEck+Kf+o48+wvHjxzFv3jzIZDIsXLgQr7zyCgICArB06VKhm+NQzH3E2NzkVJTgEofZYxpqGDypgwpvmVxrGW9nud1lLdSZVkN0ZVpNfYx/oeQ2fryeindP7UJqEf+DrNTY7I+b1NnolJrqR/uNxfu2gVTsZPC9W66dgYoxEKnaAfWP1cY/wEpqqrC/Jg9pihwrtcyyTBlgR0hzJHhm8o8//sDSpUvRtWtXvP3220hOTkbbtm0RGBiInTt3YtCgQUI3yWHwMddzc8KmaLcxjYMnoR83msPQQAKumVaudUkt/aiQzf509Q9lVaZKX4kgYwX4hZ4Tm29sfqxuvZ6KRP9gm/y8m4PPUfuEOCLBg8nS0lJN4XI3NzeUlpYCAJKSkjB//nyhm2P3GgYEtytLrd0cQYkgwoCgB7A7x/ygkAt9fSCFeNxo7ohSNgMJTB1ZDJhfiN2SjwqN7Y+rRMYqmCyoKm/yWnMINlhl52qq7Dpg1seSA+wIcQSCB5NBQUHIyclBYGAg2rdvj7179yI2NhZ//PEH3N1NnxquOeN7oI2luUmceR2k83yHHsitKOZtfaayVh9Ic0eUmjKQgEum1dSpPrXaYOHsnaH9UTEqVlnVnbcyEOjqpXWsm0Ow0RwCZn0cbYAdIXwT/E741FNP4dKlSwCAyZMnY+PGjYiJicHixYsxceJEoZtjt/T1XbJV3s5yjI/sxus6xSIR7lSW8brOhtykzoj2DoSbRLvYtjX7QOo77+pA0Fi/Q7YDCRr27VNnWrsEhGoGGxmT6BeMpV3/w7pQeUOWDkb07Y86q8pG42PEtY+pPWkOAbM+bD4b9jTAjhC+CZ6ZHD9+vOb/d+/eHXv37sWFCxcQEhKCDh06CN0cu2SPA22S/drialkBr+v89vIJVLKcvYStAcGd0Fru2SRjlVmcj3NXLiE2ogOivNkFVHzjY0Qpn9P/GcNuqs+mrBmMJPoFY2BIjNHKBY2PEds+pkB9DU9b70+rC6vsnJ6amo5Q6JtLtw9Cmgurz83dpk0buLu7w8PDw9pNsRu2ONBmYEgMqpS1OJB7Seff9+deRIQHv1kZvgNJAOjg1apJECUWiRHpGYBKSR4iPQOsdhPkIxAU+lGlvhuwPraQvQtwYdfdpvExYjM95eyTO+y24DWbgHlYu0SdMyI5SqFvexpgR4iQBA8m//vf/yIoKAgDBgwAAEyfPh2//fYb/Pz8sG7dOspOssD2Rt/VPxQdvVuhorYGblIZfryWZrHC4ofvZIFhGIPLZN+zXv9GNmwhkDHE1EBQVzaIbdbvdmUpMkvyeblRNrwBn1XkGBzkYguPCs15nKsv2EhX5DpEwWu9AbPMBcnwRoJvkNbyjljoW6h6nqSeI2S1mwPBg8lNmzbh448/BgAcOXIER48exbp167B37158+OGH+Oqrr4Rukt1he7M7UXgDl0sLNBkAmZPUYgXN2WSd7uuYWUSXB/1DcbzwhpktMp0tBDKGmBLk6MsGPd0+gdUgkz3ZF7An+wJvGST1DTjKqyXCPQNs+lEhm8e5rhKZ3h8ejYMNRyt4rStgbu/mg3Nnz2kt52j7TYTnSFltRyf4N7ioqAitW7cGUF9z8vHHH0dKSgqef/55ZGSYNsPKqlWrEBUVpfXfY489pvl7dXU15s+fj65duyIhIQGvvPIKioqKtNaRl5eHyZMnIy4uDt26dcPSpUtRV8cu6LEWNp391RoOzEj0C8aTwdEWbp1hzkZmOXGVyDA2sgu8LNhvzrlRcWl7KSpeXms8q+ztLEd5bbXeQTr/vXQEyf5tWW+TzcAeFaNCZkk+ThbcQGZJvtHC3Il+wVjUZRBej+mLiVHd8XpMXyzqPMhmjj+bwRYVdTVIV+SyWp8jFrxmMyjLEfebCMfcwYZEWIJnJj08PHD79m20bt0ahw4dwquvvgoAYBgGSqXS5PVFRERg/fr1mn87Of0bKCxatAh//fUXVqxYAXd3dyxYsABTp07Fpk2bAABKpRJTpkyBn58fNm3ahIKCAsycORNSqRSvv/66eTtqQVxq+akzAC3l1u2b+khQR4ODG8ZEdIVELMGIsGSj++cqkRmdsUSXJ0Ni0dbdx64em6gYFbZeSzW63LB28UaXO110E5M6pGDrtVTWfW/1ZZC4Zg5s/VFhvG8bo58vtlm15lpSp7nuNzEfZbXtj+Bn4ZFHHsGMGTMwYcIElJSU4KGHHgJQPyd327bsMyZqTk5O8Pf31/zn4+MDACgvL8e2bdswa9YsdOvWDdHR0Vi0aBHS0tKQnp4OADh8+DCuXr2Kjz76CB07dkSvXr0wffp0bNy4ETU1/A/u4JO+qfv0Ka6uxM6bGSiruW/hlunn7SzHgJBOmNKxJ7yk2plHL5lLk/qGUzr2hKtE1mQ9rhIZpnTsiTERXU1ugwgi9GkTYXKpG2tjO+iqpPo+q2yQu9RZkx0cENzJ6Hp1ZZAcOXNwpbSQ89SKjTXXkjrNdb+J+SirbX8Ez0y+/fbbaNOmDW7fvo0333wTrq6uAIDCwkKMGjXK5PXdvHkTKSkpcHZ2Rnx8PN544w0EBgbi/PnzqK2tRffu3TXLhoWFITAwEOnp6YiPj0d6ejoiIyPh5+enWSYlJQXz5s3D1atX8cADD5jUFi6ZVWPrMrTOOO9AxCS1wq7sC9iX84/RdaqnDxQBMDxUxjKGhSaAUTH17U5+ElfLilBcXYny2vuoqKvBzbIiOIucEPm/TGGcdyBiOv8Hl0sLcLmsEGAYRHq21PwdAJ6P7IYvLh9j3Ya+gVEQMSKTzxWb82FJxfcrWC1XUMWu7mbx/Qow7n4Id/djve7i+xWa/VcxKmzOOm1w+S1ZpxHj1coiwbqlzweXY6JPezcfeMlcDE636P2/fofW+nyZS9f5aA77bausfb0yF5/fP2Ps9RjZGsGDSalUqrM4ecP6k2zFxsZi8eLFaNeuHQoLC7F69WqMHj0aO3fuRFFREaRSaZOSQ76+vigsrP81U1RUpBVIAtD8W72MKUzt88nXOiVK08oEWTqQlECEugZbcRVJ0F0aAFF2EdKz/+2zer2uHH/X3EE1/u1jty/3IpwhxkOyVmgn+bdES8j//vd+8W2cw23N63dM2PdgsRztSxhNZpoLLudYxTC4o6pCJVMHuUiCVmIXiEUik9ZRyHI/qxXsptQsvJWL9Nxik9bd8D15ykrjc1HXVGFf6nEEOrHLnnNhie8cwO2YGNIZ3tgP/ccrGd5NBrDYo8bno7nst62y1PfD0vj+/hHLs3qdSXP06tVL8/87dOiAuLg49O7dG3v37kWLFi0Eb09MTIxWn01zKJVKZGRksFqnsigbuGw7jxTVgaTcSYregVF4PKhjk+xUmiIH+zN1l4iphgr7a/IwqV2PJqVGGqstvAlcYbfvT3XsikjPAFbLNmbK+WgoTZGDrddTtQIvL5kLnm6XaHTfGoplVDh8psholmdUYi9cSt1tdLnHEh/UnJM6FsdQBOCRhK6Q/G/wEtvj7h/SBvEmDPhhi+v5YIvt8W54HA2JBxCqyMGPjT4L3jIXDDPxs8CFilHhalmRpp9wuIcfrxljfecjHpbfb0vvmz2y9PfD0vj+/hmiPlbEPHYdTDbm4eGB0NBQ3Lp1C927d0dtbS3Kysq0spMKhQL+/vUlPfz8/HDunPavYvVob/UypnBycuL9i6tvneraWyU1ldjCYmCGNVQqa7E7+zyC3Ly1BmOoGBV+vG68zT9eT0Wif7DBi4V3C1fW7alQ1pp9fhqeD131zwBoXiuoKtc52KikpgrrMo+YNILcCU5GByUND0uGs1TGajmpRAqgvt/jV1eOG90+A+BGRbFm0Azb4+7dwtWiNzNLfOcA9sdbfRzZSA5oi0T/YMFr5glZXkXX+bDkflPpGMMs9f2wNEt8/4hlOVQwWVFRgezsbPj7+yM6OhpSqRTHjh3Do48+CgC4du0a8vLyEB8fDwCIj4/HmjVroFAo4OvrCwA4evQo3NzcEB4ebq3dMErXBdSWNR51Vx8EGx/BWVJTZXRaPzY1AdW2Xk9Fol+QxW5i6sFCbEeYmzoake10bmyXM3VazoajbllNrfe/IvDmFh3WF7RbmiWmzxN6FLutFA23xH7byr4Ry6DpK+2LXQeTS5cuRe/evREYGIiCggKsWrUKYrEYTz75JNzd3fHUU09hyZIl8PT0hJubGxYuXIiEhARNMJmSkoLw8HC89dZbePPNN1FYWIgVK1Zg9OjRkMmajiK2BfouoLasuLoSv+dehoesBTxlLigxIQhmUzYkpVWY0bmUG7ajT5tIswJKfefA1DJFXObAblgwuqSmEuU11XCTOsNVIoOKUWn2i820b6ZOy9lw1C3buajTFblmZY70ZZ6GtUuAab1OubHn6fMcubyKI+8b+Zc9f/+aG6sEk2VlZfj1119x69YtTJw4EV5eXrhw4QL8/PzQsiX7G+udO3fw+uuvo6SkBD4+PkhKSsKWLVs05YFmz54NsViMadOmoaamBikpKZg7d67m/U5OTlizZg3mzZuHESNGwMXFBUOGDMG0adN432c+mJpJsiUNH2u7SZxZv89Q2RAuGdofr6fiQO4lrWDGlMwZ3+eAS409sUiMiroabL9+1mCQZiwbZMq2dU01aSxzwDAq/PfSkSbrYps5MpR5Wpd5BP1lgYhnvQfc2XpNTH34mMvdVjnyvhFt9vr9a24EDyYvXbqECRMmwN3dHbm5uRg+fDi8vLzw22+/4fbt2/jwww9Zr+uTTz4x+HdnZ2fMnTtXK4BsrE2bNli3bh3rbVqTqZkkW8V2fnAvA480zcnQNgxmAJiUObtaVsTrOeBSY8/Y472BITEIcHE3Ghibsm19U03qyxykFuXgi0tHDa7TUOaITdB+tLYA/2FUcIL99QkTgiMXDXfkfSPEHgkeTC5ZsgRDhgzBW2+9hYSEBM3rvXr1wowZM4Rujl1pbhfGEWHJnAMNNr67ckLno2lDmTM+z4GhYFkfNvve8JG/vsBYxaigYhijs7yIIMKkDt1Nms0mtSgb6y4dNrYrBjNHbH44VTB1uFpWhI4+rY1uqzly5KLhjrxvhNgjwTseZGRk4JlnnmnyesuWLTnVdmxObOnCKLPgR6eFWIJJHVKQ6Besc95nvjK0xvo4brl2psk803yeg/bufrhSWog6VR3rua0vl+SbtO+6ZqNJLcrG7JM7sOL870aPwfMdeiDJhNI+5gzqYfO6seVMnSfckakHSRmiq/uCPXDkfSPEHgmemZTJZLh3716T12/cuKHp60h0YzOCtoVYgvuqOou3pQaWu0nfV9Vh67VU3ChX4HThzSaPoIUaxacrcxbu4cd69LgxqYpspCqyIYIITIMi7/qyialF2fju8glO21I/Uk5X5LLqHsB1xKQ5g3rYvG5oOV19aN2kzhgVlmxSQOwo2A6SssfBDI68b4TYI8G/aX369MHq1atRW1ureS0vLw8ff/wxHnnkEaGbY1fUF1BDnMSOcfEsrqnE/tyLOud9Ppinu9i5JTTOfLE5B6ZiGs1JpC+buPbiIVQouc0ZX1xdicySAqNZQ1eJDK9F98aizoM4Be3mDupRY5N5chVJEO5RP2OVvnnC79VW47+XjmDrtTTW7XIk6kFSjY+lt7Pc7kvnOPK+EWJvBM9Mzpo1C9OmTUP37t1RXV2NsWPHoqioCPHx8XjttdeEbo7dMTSCNqUluxI5jqBxNs9SdGXI9J0DU+tMGqPOJgLgpY/o5VLjj8gr6mrAQMQ5o8PHoB41YyWfuksDIBaJWT1a3597EaHuvkj2DzG4nCNy5PIqjrxvhNgTwYNJd3d3rF+/HqdPn0ZmZiYqKyvRqVMndO/eXeim2C1dF9AwD1/sunXe2k0TjBCBpLvUGWEevjr/pu8mBtQ/6j2ryDE7g6p+zA6Al8fqeRXs5u1ed+kwxkR05ZTZYdMVw9igHmMln7yd5RgWmgDR/+Z5Z/to/YesU7wVrbc3jlxexZH3jRB7YbWi5cnJyUhOTrbW5u1ewwtoalE23j21yyHKBpnCWeyEapVS67UWYinuq2r1vMM05bXVeOfkTvRsHQ4/Z1cUKisR26AUjb6bWJRXS0R5tUS4Z4DZMxXxOXo8/W4Oq+Uq6mqw9uIh9A2MQpxvkFamx1hNTjZ92eoH9ejOEBor+TQwJAYDQjqBUTFI/18wyfYY3autprqDhBBiAYIHkxs2bND5ukgkgrOzM0JCQtC5c2e7nE/UGuxxRhwARkvSsNE4kATAWyCpVlJbpfWo9fCZIowIS2aVtWuYvbxUcgd7si+YvH1PmQuulBaY/D4+HMzLxMG8TM2AIIBdTU6u06CxeVx9OD8LA0I6ab1myqP15lZeiwtzp78khDQ/ggeTX3/9NYqLi1FVVQVPT08AQGlpKVxcXCCXy6FQKBAcHIwNGzagdWuqH2eIPc+IIxU5YWhoPHbfytAZFNqqkpoqk+b9VWcvIzz9cSz/uklZSm9nOcprq63eD1Y9IMjQ3xofDy592UyZ1STc3U/zWoSnP9ykzrhXa7wYvi2V17JF+qavZDv9JSGkeRL85+brr7+O6Oho/Pbbbzhx4gROnDiBX3/9FbGxsXjnnXfw559/ws/PD4sXLxa6aXbHnmfEKamtwk830u0qkGxoy7UzJtWH5DIK/Ol2Cdh6LdX4gjq0bOHO6X1c6arJqQ6kuwSEIsqrpdHsFtfakmKRGKPCjHeZobqDhukbEa+rugAhhDQkeGZyxYoVWLVqFUJC/u0z1bZtW8ycOROvvPIKDh48iDfffNNm58e2JfTIznqKqysx88QvWlNDesvkGNY+Ee5SZ53ZOH2Pf5vUmfzf42BXiYzzj4X8++Uc94wbPuZBNmdWkyT/tuhffhf7cy/qfR/VHdSPzVMOQ9NfEkKaN8GDycLCQtTVNS2qXVdXh6Ki+g71AQEBqKioELppdoce2ZnOWSxBdYOi7uaUVGo8x3hxTWWTaQQbPyLUNxI/q0zRJAA9WXDD9B20InN/3LAZCa7OLjKqpqP5h7VPQKi7L364eko7yOdYgL05MaWLAQ1gIoQ0Jngw2bVrV8ydOxcLFy7EAw88AAD4559/MG/ePDz44IMAgMuXLyMoKEjoptkdNjdfos1FIsVLkT1RVlutVc7n8J0sixxHXX0K1Y9/1QMdUoty4ClzQbJ/iFbWx95+LJjbXlNmNVFCd/eIZP8QxPsG4s+8qyi8Xw7/Fu54ODAcErHxS11zHnjCtYsBIYQAVggmP/jgA7z11lsYOnQoJJL6zSuVSnTr1g0ffPABAEAul2PmzJlCN83usLn5Em0lNVVgIEKXgFCt1y19HBs/IjQ00EGduSyuruRl1LsQ+OqPyHUkuJqu43og95LRASTNfeCJOV0MCCFE8GDS398f69evR1ZWFm7cuAEAaNeuHdq3b69ZRp2hJPqpsyh1KiUGhsTg0J2rKKGsASu6inLrC2L40vARob5yTuosJpcAsqt/KE4U3jCrjY27AJiCz/6IXGc1MXZc9Y3A5/o+R2JKFwNCCGnMakXLw8LCEBYWZq3N25XGj9/Ka6ux9Vqq1oVf7iSFp7QFSmvvW7GlhsX5tMHZu7nWboamKPekDilag2Xifdsg3rcN9ty6YJFyPKU1VawGOnDJRHo7G57Hmo3xUd2QVVaIA7mX9C7TONC1VH9EU2c14TqAhAae1DOliwEhhDRmlWDyzp07OHjwIG7fvo3aWu0i02+//bY1mmSz0hQ52Ho9zWi2rFJZCyj5LdjNN/n/5q42B59zcn9x6Yj2KOr/jcY+fCfLIm2oL0BumXJObhIZ5/6z6oCQYVQ4mGt4Ckip2AmvRffW6nNqCwEG1wEkNPDkX+Z2MSCENF+CB5PHjh3Diy++iODgYFy7dg0RERHIzc0FwzCaATmk3vW6cuzPNG9+Z1shAnC20Pw6dQwYDAuNx97sf1ChNK8vYeOAUNdobDbvY8PbWY4wD1/svmX6LDhsuMtcOPf7fLpdAgDgv5eOGF22pKYKIpG4SZ9Ta+M6gIQGnmjj2sWAENK8CX6FWLZsGZ577jns3LkTMpkMq1atwp9//onOnTvjscceE7o5NkvFqHC01jrT6FkCA6CS4dYfrzFPZznGRHblZV1c9Q2MgreM/aPlZL+2ePfULk5TKrLh7SzXZJa8pNqDJERG3vvjtTRsvnqa9bZsMbDiOoCEBp40ZWqxeUIIETwzmZWVheXLl9dvXCLB/fv34erqiunTp+Oll17CqFGjhG6STbpaVoQKnoIvR+Mpc0GUV0uLDpgxxsfZFQs7P6lVH/Je7X38eC2tyYjgMA8/g8W0zdVkYESj6NFYHtXU42eLgRXXASQ08IQQQswneDApl8s1/ST9/f1x69YtREREAACKi4uFbo7NssXsjy3wkrmAYVQ4WXADnjIXrYDOXdoCX18+Jsio9h+vp2pKzjR85JvgF6x5RFhQVY6/867gdNEti7ZFPTBC36hkPukKrAzVZ2Rbu9HcGo9cB5DQwBNCCDGf4MFkXFwczpw5g7CwMPTq1QtLly7F5cuXsX//fsTFxQndHJtli9kfW1BeW41Pzv+h+be6FqA6oBsRlixY3c2GpWMa9zMTARYZEd5Qw4ERbEYl86FxYGWoPiMAVrUb+arxyHUACQ08IYQQ8wgeTL799tuaqRJfeeUVVFRUYM+ePQgNDcWsWbOEbo7NCvfwg6tIQo+6G1EyKq1/qwO6voFRiPMNQrxvG8Eff3935SQ2XxWjpFaYbHKvVhFI8g/Ryt6ZM0rcWyYHwzAG2y+CCM936NEkCDRUn1GXxrUb+a7xyHUACQ08IYQQ7gQNJpVKJe7cuYOoqCgA9Y+833//fSGbYDfEIjG6SwOwvybP2k2xCwfzMnEwL1OT0VrUZRB23syw2ICXhioazdFtaQEu7k3K1JjTLSKlVRhayz0Mjuae1KE7kvxDNP82NxO65doZxPq0tkiNR1NrVJr7PkIIae4E/dnt5OSE5557DqWlpUJu1m61k7hjUlQPk0YNN3fqjFa6IhcdvFpZuzkW4SZ1bvKaOd0idt7KwI/X0tC/TccmnzVvZzmmdOyJJP+2Wq+bWy+zuLoSf+ZdZV3jkRBCiO0S/DF3REQEcnJyEBxM/ZDYSPANQqJ//aCOSyV3BMm0OYLvrpzAh10Hw0vm4nDTTOqa7YbNqGQvmQt6tAzD7uzzTf5WXFOJ/bkXm8wKpO9RLx8DxArvl7NajgajEUKIbRO8Q9Crr76KpUuX4o8//kBBQQHu3bun9R9pSv34raWLh7WbYjcq6mqwL/sinm6fZO2msPZ40AM6s44N6StTox6VbMjw9ok4mn/N4DJbr6ciwtPfaI1BPgaI+bdwZ7UcDUYjhBDbJnhmcvLkyQCAF198ESLRvwXxGIaBSCTCxYuWq8dnz1KLsvHj9VRrN8Ou/JZzES5OUrPX03g+aksJdPXC6PAunMvUGBuV7CqR8TZ1IJtMqCHeznI8HBiOA7mXqMYjIYTYOcGDyQ0bNgi9SbsnRP1AR1StqkO1yvzR8GMiukKlUuH7yye0Rtd7y+SoUdXxFmgaKsbOtkyNoVHJJwtusGoHm8fKbOozGjK8fRIkYgnVeCSEEAcgeDDZpUsXoTdp14SqH0iaahjAKZVKMC0K4da+DcrrqjVBWroil5dAv2EGztwyNfpGJfM9daCxTCigo85ko6DY2DrifdsgsySfyvUQQogNEzyYBIDTp09j06ZNyMnJwaeffoqWLVvi559/RlBQEJKTk63RJJt1tazIKtMFGuPtLEeyX1uLThNoTU+3S0SfNpFagYtYJEKkZwCcnJx4396wdomNtsV/mRpLTB1oLPBlExTrW0e6IhezT+7QWcw8zjvQxL0nhBBiKYL/xP/1118xceJEtGjRAhcuXEBNTf0jwnv37mHt2rVCN8fm2dpIVjGARN9gjAvvglOFN6zdHIvxkLUwmgHjM2u89VoqUouyeVmXPuwG6Zj+WFkd+OoatGPob4bWoc74Ng581aWf0hQ5JrWREEKI5QgeTH7++eeYP38+Fi5cCInk38RoYmIi/vnnH6GbY/NsbSSrCkCqIhufXvjT4UruNMTmuJtba7EhdZBkKKBUMSpkluTjZMENZJbkQ9VoNiA21I+V9dWTtIWpA9kE6Vuvp0LFMAK1iBBCiCGCP+a+fv26zkfZ7u7uKCsrE7o5Ni/cw0+w0cSknrvUGWEevkaXs0TWWN+ML3zNXw3of6wMwCb6J7IJ0otrqnDH2XF/zBBCiD0RPJj08/PDrVu3EBQUpPX6mTNnqJC5Dmfv5lEgKbDy2mq8e2qX0UDNElljXaV5+J6/GmjaJ5PPYNVcbIP0Spq3nhBCbILgaYfhw4fjgw8+wNmzZyESiZCfn48dO3Zg6dKlGDlypNDNsWkqhmkWtSWHhSZgQHAntHM3ng0UijpQ25J1Ru8j5QhPf6NFxrloGEyxeeS75doZTo+81dTBqr7+iZbuy9kY2yBdLrLK+EFCCCGNWKVouUqlwvjx41FVVYUxY8ZAJpPhueeew9ixY4Vujk27o6py6H6JQH1B8AN5l2x2Pw/mZeJgXia8ZC7oDG/EN/ibWCTGqLBk/PfSEV632TCYYvXIl2WhcV3YBqu6Hr1bCqtR5zIXtBLbVn9iQghprgQPJkUiEV588UVMnDgRt27dQmVlJcLCwuDq6ip0U2xec3iMZy+P8EtqqrAfVQhV5CA5oK3m9ST/tuhXrsCB3Eu8bau8tlrz/9k+8uXaf9PSwSoXbAqiD2uXCFF2kSDtIYQQYpjgj7l/+eUXVFVVQSaTITw8HLGxsRRI6uHIj/FcxBKIjC9mc+pHEWs/Uo71aWOxbfBdaLwxSwerXBkbdZ7gG6TnnYQQQoQmeLSyePFizJs3D3369MGgQYOQkpJikSLQjiBA1AIiAI5WACXZLwSni25ZuxmcFNdUYefNDHTwaqUZ7cx3oNUwExjm4QsRRGAMfApEELEafa6LpYNVcxgqiK5UKgVvDyGEEN0EDyYPHz6MQ4cOYdeuXXj11VfRokULPPbYYxg4cCASExOFbo5NK2DuO1wgGevdBlll9v14ck/2BezJvqAZ7cw20Hq6XSIK75fjz9tXjC6rDlCzyhQGA0kAYMAgq0zB6TG0JWbF4ZMlZgIihBDCL8Efc0skEvTu3RvLli3D0aNH8fbbbyM3Nxfjxo1Dv379hG6OTXPEPpPninNtanrIJF/uZW/Uo53v1d6Hq0RmcFlvZzn6tIlEol8Iq3WrA1RLP4a21Kw4hBBCmg+r3iFcXFyQkpKChx56CKGhocjNzTVrff/9738RFRWFDz74QPNadXU15s+fj65duyIhIQGvvPIKioq0M2N5eXmYPHky4uLi0K1bNyxduhR1ddYP5By5z6StuFSab/Y6Nl49ZXQgkTogU2cCDWmYCRTiMbQ9zIpDCCHEdlklWqmqqsL+/fuxc+dOHDt2DK1bt8YTTzyBTz/9lPM6z507h02bNiEqKkrr9UWLFuGvv/7CihUr4O7ujgULFmDq1KnYtGkTAECpVGLKlCnw8/PDpk2bUFBQgJkzZ0IqleL11183az/N1UrsAi+Zi82WzXEEfIwmN7YOV4kz4n3rB+mwGancMBMo1GNoQ/0TCSGEEEMEv1O89tpr6N69OxYvXozg4GB8++232L9/P1599VWEhYVxWmdFRQXefPNNLFy4EJ6enprXy8vLsW3bNsyaNQvdunVDdHQ0Fi1ahLS0NKSnpwOo78N59epVfPTRR+jYsSN69eqF6dOnY+PGjaipsW7ZGrFIhJSW3I6JLZOJbWvAlauT4UfU5qqoq8aV0kLNv03JBAr5GFrdP7FLQCiivFpSIEkIIYQVwTOTYrEYK1as0DmK+/Lly4iMjDR5ne+//z569eqF7t274/PPP9e8fv78edTW1qJ79+6a18LCwhAYGIj09HTEx8cjPT0dkZGR8PPz0yyTkpKCefPm4erVq3jggQdYt4PPEabqdfkaeSRqjx70C8XfBVnWboZGr9YR2JNzwaLbKL5fofX5iPMORExSK1wtK9JkAsM9/HSOVI7zDsSkqB748XqqVpbaW+aCYe0SEecd2OxGN6v3t7ntt62i82Fb6HywR8eIH4IHk8uWLdP6971797B79278+OOPuHDhAi5evGjS+nbv3o1//vkHW7dubfK3oqIiSKVSeHh4aL3u6+uLwsJCzTINA0kAmn+rl2ErIyPDpOXZUOTc5n2d1mZLgSQAiApK0V8WiKO1BahoMOjJVSTBg1J/HK8t1Hqdi8JbuUjPLdb5NymAShTjHPL0txHAMKdg3HGuQiVTB7lIglZiF4iyi5DejIt3W+I7R7ij82Fb6HwQoVhthMepU6ewdetW/PbbbwgICED//v0xZ84ck9Zx+/ZtfPDBB/jqq6/g7Mz/HMmmiomJ4a1mplKpREZGBvrHdcHh9CLqN2lBfiFt4O0sR5uaYJTXVsNN4gxvZ7kmU9hekYN1mfqnTHSVyAz2m/SWueCxxAfpsTGP1N8PPr9zhDs6H7aFzgd76mNFzCNoMFlYWIjt27dj69atuHfvHh5//HHU1NRg9erVCA8PN3l9Fy5cgEKhwNChQzWvKZVKnDp1Chs3bsSXX36J2tpalJWVaWUnFQoF/P3rByz4+fnh3LlzWutVj/ZWL8OWk5MT719cqUSCp9snYd2lw7yu15ZIRWLUNppVRkjbbqbjXoMpDNX1I6USKQBopk/8/vIJrQylt7Mcw9vX92c0OKAmLFmzLsIvS3znCHd0PmwLnQ8iFMGCyRdeeAGnTp3Cww8/jNmzZ6Nnz55wcnLSjKrm4sEHH8TOnTu1Xnv77bfRvn17TJo0Ca1bt4ZUKsWxY8fw6KOPAgCuXbuGvLw8xMfHAwDi4+OxZs0aKBQK+PrWzyJy9OhRuLm5cQpwLcFdav2sKxfOYicMDInB1hvpBpezZiAJQCuQBP6tH9lwMEyCbxCYFoVwa98G5XXVTUY7T+nYE1uyzmiNulYHm+aW1lExqmY3yro57jMhhNgrwYLJv//+G2PHjsXIkSMRGhrKyzrd3NyaDNiRy+Xw8vLSvP7UU09hyZIl8PT0hJubGxYuXIiEhARNMJmSkoLw8HC89dZbePPNN1FYWIgVK1Zg9OjRkMksO8qXLaHnReZLtUqJSmWttZvB2XdXTiLet40miBGLRIj0DND5S99SpXVSi7KbBqn/y5w6av3H5rjPhBBizwT7qf/999+joqICQ4cOxdNPP43vvvsOd+/etfh2Z8+ejYcffhjTpk3DmDFj4Ofnh1WrVmn+7uTkhDVr1kAsFmPEiBF48803MXjwYEybNs3ibWMrv7LM2k3gzNhUgLasoq4ae26xH+XNd2md1KJsrL14qEmNSXXmNLUo26z126LmuM+EEGLvBMtMxsfHIz4+HrNnz8aePXuwbds2LFmyBCqVCkeOHEGrVq3g5uZm9na+/fZbrX87Oztj7ty5mDt3rt73tGnTBuvWrTN725Zwpigbu7LPW7sZnLk6WfYRfQsnCe4rLTdb0e95mRgQ0sli69dHxaiwJeuMwWW2XDujlTm1d6bsMyGEENsh+F1ILpdj2LBh+OGHH7Bjxw5MmDAB69atQ/fu3fHCCy8I3Rybdr2uHF9ePmrtZpjlSmmBRdc/uUNPyESW62BeUVejVXBcKFdKC43OYV5cXWmVtllKc9xnQghxBFZNabRv3x5vvfUW/vrrLyxfvtyaTbE5KkaFo7WWDcSEcLbYvPnWDXGXOiPKyx9SC49WPKvIsej6dWHbT9Ze+9Pq0hz3mRBCHIFNPB9zcnJCv379sGbNGms3xWZcLSsyu1C2o+viH4qsMgWr+bXdJNqP272d5Uj2C2G1nZOFN6ASeMS5p8yF1+XsQXPcZ0IIcQRWK1pODKPsi3FxvkGsj9PwsER4yeRaI60B4PzRPNxXGQ7ay2urcbVM2FlmIjz94S2TG3zs6+0s1+yHIzBlnxmV/Q7sIoQQR2MTmUnSFGVfDHOVOCPC05/1cfKSyZuMtBaLxOjRKozV+4UO7sUiMYaHJRlcZnj7JIcZfAM0z30mhBBHQFdlGxXu4YcWdHr0YhgVLhXfwcXi22jhZDjBriuDp2JUyCzJh7OR96pZI7hP9AvGlI494S2Ta73u7SzXKqjuSJrjPhNCiL2jx9w2SiwSI0XaEgdqb1u7KQZZayrESmUtPr3wJ6tlG2ezdBXFNkQ9T/c55HFpqlksVQzdljXHfSaEEHtGwaQNay/1QKybGOcsOCLaXOHu/rhUlm+Tpcl1TWeoLoptClMfrbKZCtCU6QLVxdCbk+a4z4QQYq8omLRhKobBrQrLzxJkjgC5By6W5Vu7GVpcnWSY3LEHIhvNQsOmKHZDIogwqUN3JPoFQ6lUsnoPm6kAabpAQgghjoSeG9mwO6oqlNj4qO5Qd2+T3yO1YJFxAKhQ1kD0vwE2DbEpit0QAwZu0hasl2czFSBNF0gIIcTRUGbShlXaQZ3JyjrT2yhzckJtHbtMH1e6Rl9zGZHN9j2spgLMOgOGMdwhwNGmSCSEEOL46I5lw+Qi24/13aTOTUbeGtItoB2rIuPm0jX6msuIbLbvYTUVYE0lSmoNB6c0XSAhhBB7Q8GkDWsldoGXjdebzK8qQwrLWo1eMhd09G5l4RbV9z/UVcxbXRSb9XpMKArOZx1KKlhPCCHEnlAwacPEIhGeCo23djMM2pN9ATtvZcBVIoOz2HAmdURYMrxMCOa4Gh6me/Q1m6LYWusxYRQ3n3UoqWA9IYQQe0LBpA27XleOzddSrd0MVirqalCtqkOyXwhcnWRaf3OTOCPRNxjZ9+6iTqWCq0SmZy3mcZU4Gy1sra8odkNcCmSzyXp6y+TwkhoOFB1tikRCCCGOz/Y75TVTaYoc7K8Rvki2uS6W5OPDBwcjq0yBs4ocHMnPwr26aqQqsgEFAFyAE0S8blMqcsJLnXoi0jMAWWUKnCy4YbB2Y+Oi2B5SZzAQobz2PucC2eqsp6EaluqsqMFlaLpAQgghdoaCSRukYlT48bp9ZCQbq6irxtXSQlQq63AwL1PnMkqeS5yPj+qG+0ol3j21i3XtRksUxVZnPZvUkGxUPJ3NMoQQQoi9oGDSBl0pLbT5+pKGXCy5g0N3ssxah6vEGVKR2Ojo5/5tOkIsEunM9qlrNwo5pzObqQBpukBCCCGOhIJJG2Tvo3mvl901u/zPmIgumoCr/nH5NdxX1motI3eSIdTd13h9Rz21G02Z0tAUbLKeNF0gIYQQR0HBpA2y99G8tSruxdYbP+6N8mqJiroanY/MK5U1WHfpsNF1qms3NgzeaEpDQgghhB8UTNqgCE9/eMlc7PZRt0hk2gCbAcGd0FruqTM7aOp82vo0zPaqpzRszBqPxQkhhBB7R520bJBYJMbT7RKt3QzOssqLTFreVeKMZP8QRHm1NHs+bX3U2V5W0x5eOwMVozJ7m4QQQkhzQMGkjUrwDUJ/WaDFajLakh+vp2L2yR1ILcpu8jc++o82rN3IatpDmtKQEEIIYY2CSRvW1skNkmYywlf9iLlxQMlH/9GGtRvZBqf2PgiKEEIIEUrziFTs1B1VFUpr71u7GYJq/IiZ1cwyznJM7tCjyXK6ZrJhG5za+yAoQgghRCg0AMeG3VCWW7sJvOnVKgIA8NedKwaXazzymtXMMv8b/Z3gF2y01I86ODX0qJumNCSEEELYo8ykjUpT5OB8XYm1m8GbJP8QhLMM0Bo/YtY3n3bjzKO6dmOXgFCdg3nUy6inNdSHpjQkhBBC2KPMpA2y5+kUdWnhJEFxdSXu1VazWl7XI2Y+Z41hO+0hIYQQQoyjYNIG2ft0io3dV9Zh/eVjAAARRGAMzM1t6BEzn7PG0JSGhBBCCD8omLRBjjyS2FAgCQj7iJmmNCSEEELMR8GkDWoOI4kbZyjpETMhhBBinyiYtEH2Mp2iOgAE0KT/oTEMGDzdLhEeshb0iJkQQgixYxRM2iCxSIxkv7Y4kHdJ0O0+6B+KFhIp/rxtuHwPUD+f9sC2MZoAsGH/w9uVpdiTfcHoOjxkLdAlINTcZhNCCCHEiigVZINUjArHCq4Jvt2M4jzW0zdGeQZoZRIbluXp4NWK1Tqaw+N8QgghxNFRMGmDLpfko6KuRvDtVtTVYDeLjCIAMBDp/RvbWWuoMDghhBBi/yiYtEGZpQXWboJR5QameaTC4IQQQkjzQXdzwomxR9RsZ60hhBBCiH2jATg2KNKzJasBLNbC9hE1FQYnhBBCHB8FkzYoyisAcokMlVboN8mGKY+oqTA4IYQQ4tgoRWSDxCIxRod1Fny7UiMBoggiTOqQQo+oCSGEEKJBwaSNSvANQpBI2NI5+sdn15vUoTuS/UMEaQshhBBC7AMFkzYqTZGDHEbYGXBqGBUGhsToHTST5N9W0PYQQgghxPbZdZ/J77//Hj/88ANyc3MBABEREXjppZfQq1cvAEB1dTWWLFmCPXv2oKamBikpKZg7dy78/Pw068jLy8O8efNw4sQJyOVyDB48GG+88QYkEusdGhWjwo/XU62y7QAXdyzqMogGzRBCCCGEFbsOJlu1aoUZM2agbdu2YBgGP//8M15++WVs374dERERWLRoEf766y+sWLEC7u7uWLBgAaZOnYpNmzYBAJRKJaZMmQI/Pz9s2rQJBQUFmDlzJqRSKV5//XWr7deV0kKrzcvtKXOhQTOEEEIIYc2u0019+vRBr169EBoainbt2uG1116DXC5Heno6ysvLsW3bNsyaNQvdunVDdHQ0Fi1ahLS0NKSnpwMADh8+jKtXr+Kjjz5Cx44d0atXL0yfPh0bN25ETY31RlKXWimQpFlpCCGEEGIqu85MNqRUKrFv3z5UVlYiISEB58+fR21tLbp3765ZJiwsDIGBgUhPT0d8fDzS09MRGRmp9dg7JSUF8+bNw9WrV/HAAw+Y3AY+3Kks42U9phoWmgBGxUAJfvbDkajPLV/nmJiHzodtofNhW+h8sEfHiB92H0xmZmbimWeeQXV1NeRyOVavXo3w8HBcvHgRUqkUHh4eWsv7+vqisLAQAFBUVKQVSALQ/Fu9jCkyMjI47sW/rteVY39NntnrMUULiNFT1gqi7CKkZxcJum17w8c5Jvyh82Fb6HzYFjofRCh2H0y2a9cOP//8M8rLy/Hrr79i5syZ+O6776zSlpiYGDg5OXF+v4pRYcuZXTy2iJ1nIjqji3+o4Nu1J0qlEhkZGWafY8IPOh+2hc6HbaHzwZ76WBHz2H0wKZPJ0LZtfcma6OhoZGRkYMOGDXj88cdRW1uLsrIyreykQqGAv399v0A/Pz+cO3dOa31FRfWZOfUypnBycjLri3u1pMgqA298WrjRBYclc88x4RedD9tC58O20PkgQrHrATi6qFQq1NTUIDo6GlKpFMeOHdP87dq1a8jLy0N8fDwAID4+HpcvX4ZCodAsc/ToUbi5uSE8PFzopltl4A0NuiGEEEKIOew6M7ls2TI89NBDaN26NSoqKrBr1y6cPHkSX375Jdzd3fHUU09hyZIl8PT0hJubGxYuXIiEhARNMJmSkoLw8HC89dZbePPNN1FYWIgVK1Zg9OjRkMlkgu+Pp0zYGW8A0+bZJoQQQghpzK6DSYVCgZkzZ6KgoADu7u6IiorCl19+iR49egAAZs+eDbFYjGnTpmkVLVdzcnLCmjVrMG/ePIwYMQIuLi4YMmQIpk2bZpX9ifD0h5vEGffqqgXZ3uQOPWiebUIIIYSYxa6DyUWLFhn8u7OzM+bOnasVQDbWpk0brFu3ju+mcSIWiTEyvDPWXTosyPbcpC0E2Q4hhBBCHBc937Qxyf4h6N+moyDbOqvIEWQ7hBBCCHFcFEzaoGHtE9C7dYTFt3Oy8AZUjMri2yGEEEKI46Jg0kbF+QRZfBvltdW4Ump6cXZCCCGEEDUKJm1UuIcfXEWW79JqrXnACSGEEOIYKJi0UWKRGN2lARbfjjXKERFCCCHEcVAwacPaSdzRu3WkxdZPBcsJIYQQYi4KJm2cq8RyxdOpYDkhhBBCzEWRhA1TMQwO52eZtY5uAe3gJdV+lO3tLMeUjj2pYDkhhBBCzGbXRcsd3R1VFUrMHCDzgHdrjIvsiiulhSitqYKnzAURnv6UkSSEEEIILyiYtGHlqlqz1/FP8W0A9QNtkv1DKIgkhBBCCK8omLRh+cpKs9dxrOA6jhVcBwB4y+QYHpZEj7cJIYQQwhtKU9kwheo+r+srrqnE2ouHkFqUzet6CSGEENJ8UTBpw+rAWGS9W66doWkUCSGEEMILCiZtmI+ohUXWW1xdSdMoEkIIIYQXFEzasHCJu8XWTdMoEkIIIYQPFEzaMIkFR17TNIqEEEII4QMFkzasCkqLrJemUSSEEEIIXyiYtGFykWUqN9E0ioQQQgjhC0UUNqyV2AVuEmfe1ieCCJM79KA6k4QQQgjhDQWTNkwsEuGZ9om8re/5Dj2Q5N+Wt/URQgghhNAMODYu0S8E/StKsD/3ov5lfIOR4BcMT5kL7tXex4/X0lBc8+/sOd7OcgxvTzPfEEIIIYR/FEzagWHtExDq7osfrp7CvbpqzetuUmeMDOuMZP8QreUT/IJxpbQQpTVV8JS5IMLTn/pIEkIIIcQiKJi0E8n+IUj0C2IVJIpFYkR5tbRCKwkhhBDS3FC6ihBCCCGEcEaZSTuRWpSNLVlntPpCukmd0dU/FHG+QfQomxBCCCFWQcGkHUgtysbai4eavH6vthoH8zJxMC8T3jI5hofRIBtCCCGECItSWTZOxaiwJeuM0eWKayqx9uIhpBZlC9AqQgghhJB6FEzauKtlRVqPto3Zcu0MVIzKgi0ihBBCCPkXBZM2rrSmyqTli6srcaW00EKtIYQQQgjRRsGkjfOUuZj8HlMDUEIIIYQQriiYtHHhHn7wlslNeg+XAJQQQgghhAsKJm2cWCTG8LAk1st7O8sR4elvwRYRQgghhPyLgkk7kOgXjCkde7LKUA5vn0T1JgkhhBAiGKozaScS/YIR79sGV0oLcVaRgxMFN7Tm6fZ2lmN4e6ozSQghhBBhUTBpR9Rzbkd5tcSw9gms5ukmhBBCCLEkCibtlDqwJIQQQgixJkplEUIIIYQQziiYJIQQQgghnFEwSQghhBBCOKNgkhBCCCGEcEbBJCGEEEII4YyCSUIIIYQQwhkFk4QQQgghhDMKJgkhhBBCCGcUTBJCCCGEEM5oBhweMAwDAFAqlbytU70uPtdJuKPzYVvofNgWOh+2hc4He+pjpL6PE25EDB1Bs9XU1CAjI8PazSCEEEIIBzExMZDJZNZuht2iYJIHKpUKdXV1EIvFEIlE1m4OIYQQQlhgGAYqlQoSiQRiMfX844qCSUIIIYQQwhmF4YQQQgghhDMKJgkhhBBCCGcUTBJCCCGEEM4omCSEEEIIIZxRMEkIIYQQQjijYJIQQgghhHBGwSQhhBBCCOGMgklCCCGEEMIZBZM2auPGjejTpw9iYmLw9NNP49y5c9ZuksNZtWoVoqKitP577LHHNH+vrq7G/Pnz0bVrVyQkJOCVV15BUVGR1jry8vIwefJkxMXFoVu3bli6dCnq6uqE3hW7dOrUKbzwwgtISUlBVFQUDhw4oPV3hmHw6aefIiUlBbGxsRg/fjxu3LihtUxJSQneeOMNJCYmIjk5GbNnz0ZFRYXWMpcuXcKoUaMQExODXr16Yd26dZbeNbtk7HzMmjWryfdl4sSJWsvQ+eDP2rVr8dRTTyEhIQHdunXDSy+9hGvXrmktw9c16sSJExgyZAiio6PRv39//PTTTxbfP+JYKJi0QXv27MHixYvx8ssvY/v27ejQoQMmTpwIhUJh7aY5nIiICBw+fFjz3/fff6/526JFi/DHH39gxYoV+Pbbb1FQUICpU6dq/q5UKjFlyhTU1tZi06ZNWLJkCbZv346VK1daY1fsTmVlJaKiojB37lydf1+3bh2+/fZbzJs3D1u2bIGLiwsmTpyI6upqzTIzZszA1atXsX79eqxZswanT5/GnDlzNH+/d+8eJk6ciMDAQPz0009466238Nlnn2Hz5s0W3z97Y+x8AEDPnj21vi/Lly/X+judD/6cPHkSo0ePxpYtW7B+/XrU1dVh4sSJqKys1CzDxzUqOzsbU6ZMQdeuXfHLL7/g2WefxbvvvotDhw4Jur/EzjHE5gwbNoyZP3++5t9KpZJJSUlh1q5da8VWOZ6VK1cygwYN0vm3srIyplOnTszevXs1r129epWJjIxk0tLSGIZhmD///JPp0KEDU1hYqFnm+++/ZxITE5nq6mqLtt3RREZGMvv379f8W6VSMT169GC++OILzWtlZWVMdHQ0s2vXLoZh/j0f586d0yzz119/MVFRUcydO3cYhmGYjRs3Mp07d9Y6Hx999BHz6KOPWnqX7Frj88EwDDNz5kzmxRdf1PseOh+WpVAomMjISObkyZMMw/B3jfrwww+ZJ554Qmtbr776KvPcc89ZeI+II6HMpI2pqanBhQsX0L17d81rYrEY3bt3R1pamhVb5phu3ryJlJQU9O3bF2+88Qby8vIAAOfPn0dtba3WeQgLC0NgYCDS09MBAOnp6YiMjISfn59mmZSUFNy7dw9Xr14VdD8cTU5ODgoLC7WOv7u7O+Li4jTfg7S0NHh4eCAmJkazTPfu3SEWizXdQtLT05GcnAyZTKZZJiUlBdevX0dpaalAe+M4Tp48iW7duuHRRx/F3LlzUVxcrPkbnQ/LKi8vBwB4enoC4O8alZ6ejm7dumltKyUlRbMOQtiQWLsBRFtxcTGUSiV8fX21Xvf19W3SX4aYJzY2FosXL0a7du1QWFiI1atXY/To0di5cyeKiooglUrh4eGh9R5fX18UFhYCAIqKirQu0gA0/1YvQ7hRHz9d3wN1n7CioiL4+Pho/V0ikcDT01PrHAUFBWktoz5HRUVFmhszMa5nz57o378/goKCkJ2djeXLl2PSpEnYvHkznJyc6HxYkEqlwqJFi5CYmIjIyEgA4O0apW+Ze/fu4f79+2jRooVF9ok4FgomSbPVq1cvzf/v0KED4uLi0Lt3b+zdu5cuoIQ08sQTT2j+v3oATr9+/TTZSmI58+fPx5UrV7T6dBNiS+gxt43x9vaGk5NTk8E2CoWiya9Hwi8PDw+Ehobi1q1b8PPzQ21tLcrKyrSWUSgU8Pf3B1D/673xyEn1v9XLEG7Ux8/Q98DPzw93797V+ntdXR1KS0tZnSP6PpknODgY3t7euHnzJgA6H5by/vvv488//8Q333yDVq1aaV7n6xqlbxk3Nzf6UU1Yo2DSxshkMnTq1AnHjh3TvKZSqXDs2DEkJCRYsWWOr6KiAtnZ2fD390d0dDSkUqnWebh27Rry8vIQHx8PAIiPj8fly5e1Ap6jR4/Czc0N4eHhQjffoQQFBcHf31/r+N+7dw9nz57VfA8SEhJQVlaG8+fPa5Y5fvw4VCoVYmNjAdSfo9OnT6O2tlazzNGjR9GuXTt6pGqmO3fuoKSkRBOU0PngF8MweP/997F//3588803CA4O1vo7X9eo+Ph4HD9+XGvdR48e1ayDEDYomLRBEyZMwJYtW7B9+3ZkZWVh3rx5qKqqwtChQ63dNIeydOlSnDx5Ejk5OUhNTcXUqVMhFovx5JNPwt3dHU899RSWLFmC48eP4/z585g9ezYSEhI0F9mUlBSEh4fjrbfewqVLl3Do0CGsWLECo0eP1hpgQHSrqKjAxYsXcfHiRQD1g24uXryIvLw8iEQijBs3Dp9//jkOHjyIzMxMvPXWWwgICEC/fv0A1A826NmzJ9577z2cO3cOZ86cwYIFC/DEE0+gZcuWAICBAwdCKpXinXfewZUrV7Bnzx5s2LABEyZMsNp+2ypD56OiogJLly5Feno6cnJycOzYMbz00kto27YtevbsCYDOB9/mz5+PHTt2YNmyZXB1dUVhYSEKCwtx//59AODtGvXMM88gOzsbH374IbKysrBx40bs3bsX48ePt9KeE3skYhiGsXYjSFPfffcdvvzySxQWFqJjx4549913ERcXZ+1mOZTXXnsNp06dQklJCXx8fJCUlITXXnsNISEhAOoLAi9ZsgS7d+9GTU0NUlJSMHfuXK1H2Lm5uZg3bx5OnjwJFxcXDBkyBG+88QYkEuqObMyJEycwbty4Jq8PGTIES5YsAcMwWLlyJbZs2YKysjIkJSVh7ty5aNeunWbZkpISLFiwAL///jvEYjEeeeQRvPvuu3B1ddUsc+nSJbz//vvIyMiAt7c3xowZg8mTJwuyj/bE0PmYN28eXn75Zfzzzz8oLy9HQEAAevTogenTp2s9nqbzwZ+oqCidry9evFiTWODrGnXixAksXrwYV69eRatWrfDSSy9R8oKYhIJJQgghhBDCGT3mJoQQQgghnFEwSQghhBBCOKNgkhBCCCGEcEbBJCGEEEII4YyCSUIIIYQQwhkFk4QQQgghhDMKJgkhhBBCCGcUTBJCLCIqKgoHDhywdjN0Gjt2LD744ANrN0ODYRi899576NKlC6KiojSz0DR24MAB9O/fHx07dhSs/T/99BOSk5MF2RYhxD7RNB2EODh9M2moTZ06Fa+88orOv+Xk5KBv3774+eef0bFjR0s0jwD4+++/sX37dmzYsAHBwcHw9vbWudycOXMwdOhQjB07VmtWGSGtWrUKBw4cwC+//GKV7RNCbA8Fk4Q4uMOHD2v+/549e7By5Urs27dP85pcLrdGsxyOUqmESCSCWGz6A5/s7Gz4+/sjMfH/27v/mKjrP4DjzxsCR0JQCAIlYrRdFiHcNY0U+4El0pTDcbo179qNjibWRlbkD0IHBlgwWbh+yAQl16bE2Q9WWraoaxW0TsSazDp0xS4hfpQpsqPD7x+Mz5cLNDn81jd5PTb++Nzn/fs29tr712kvmeb8+fP09PSwaNEi5beuhRDi/4EscwtxjQsLC1P+goKCUKlUynNoaCg1NTUsXryYuLg40tPT+eyzz5S8KSkpAOj1ejQaDUajEYDW1lbMZjMLFixAp9OxZs0avvvuuwm1y2g0sm3bNl588UXmz5/PwoULqaysVN53dHSMWfI9e/YsGo2GpqYmYPg3hTUaDTabDb1eT3x8PCaTiZ6eHj799FOWLVuGVqvl6aef5sKFCx71u91uCgsL0el0LFiwgIqKCkb/uqzL5WL79u0kJyeTkJCAwWBQ6oX/Lv9+/PHHpKWlceedd+J0Osfta3NzM5mZmcTFxbFo0SLKysr4448/ANiwYQNFRUU4nU40Gg0PPPDAmPxNTU1KoPnoo48qY9DX18f69etJTk5m3rx5LF++nIaGBo+8Q0NDVFVV8eCDDxIXF8d9993Hq6++6jF+Z8+eVdKfOHECjUZDR0fHmHZYrVZ27txJW1sbGo0GjUaD1Wpl48aNPP744x5pBwcHSUpKoq6ubtwxEUJcO2RmUogprLa2lpqaGgoLC5k7dy719fXk5OTQ0NBATEwMdXV1GAwG9uzZw6233oqvry8wPEum1+vJz88HoLq6muzsbA4fPkxgYOAV13/w4EHMZjMHDhygpaWFDRs2oNVqWbhw4YT6sXPnTp5//nkCAgLIzc0lNzcXPz8/ysvL6e/vZ926dbzxxhtkZ2d71J2ZmUldXR3ffvstBQUFREVFsWrVKgAKCwv54Ycf2LFjB+Hh4Xz00Uc89thjvPfee8TExAAwMDBAVVUV27ZtIyQkhNDQ0DFt6+zsJDs7m4yMDLZv386pU6fIz8/H39+fJ598ks2bNzNr1iwOHDjAW2+9hY+Pz5gyEhMTOXToEKmpqVRWVpKYmEhwcDB9fX3ccccdWCwWAgMDaWxsJC8vj+joaOLj4wEoLy+nrq6OjRs3otPp6Orq4tSpUxMa3xFpaWl8//332Gw2ampqAAgKCiImJoY1a9bQ1dVFeHg4AI2NjQwMDJCWluZVXUKIfw8JJoWYwnbv3o3FYuHhhx8G4Nlnn6WpqYm9e/eyZcsWbrzxRgBCQkIICwtT8iUlJXmUU1RUxF133cXXX3/N/ffff8X1azQannjiCQBiYmLYt28fX3755YSDydzcXHQ6HQCZmZmUl5dz5MgRZs2aBcDSpUtpamryCCYjIyPZtGkTKpWKW265hZMnT7Jnzx5WrVqF0+nEarXyySefKEvKWVlZ2Gw2rFYr69evB4Zn37Zu3cptt912yba9+eabREREUFBQgEqlIjY2ls7OTsrKyli3bh1BQUFMnz4dHx8fjzEezc/PTwlUg4ODlXQzZ84kKytLSWc0Gvn888/54IMPiI+P59y5c9TW1lJQUEBGRgYA0dHRXh+oUavVXHfddWPaqtVqmTNnDu+88w4WiwWA+vp6UlNT/7G9nUKIv48Ek0JMUefOnaOrq2vMPj2tVktbW9tl83Z3d1NRUUFzczM9PT0MDQ1x4cKFSy7zXsqfDweFhYXR09MzoTL+XE5oaCgBAQFKIAkwY8YMjh8/7pFn3rx5qFQq5TkhIYGamhrcbjcnT57E7XaTmprqkcflchESEqI8+/r6/uUBJ4fDQWJiokddOp2O/v5+zpw5Q1RU1IT6Oprb7ea1117j0KFDdHZ2Mjg4iMvlQq1WA9De3o7L5eLuu+/2uo4rZTAY2L9/PxaLhe7ubmw2G3v37v2f1yuE+OdJMCmEmLDnnnuOX3/9lc2bNxMVFYWfnx+rV69mcHBwQuVMm+b5L0ilUin7FkcOsozexziyz/By5ahUqnHLHRoauuJ29ff34+PjQ319/Zhl59EHltRqtUeQ+HfbvXs3tbW1bNq0CY1GQ0BAAMXFxcr34O/vf9n8443xRL/DEenp6ZSVlXH06FGOHj3KzTffLFcKCTFFSDApxBQVGBhIeHg4drud+fPnK5/b7XZlv93IHkm32+2R1263s2XLFu69914Afv75Z/r6+q5q+0aW2H/55Rfls0vdv+iN1tZWj+djx44xe/ZsfHx8mDt3Lm63m97e3kkHRLGxsRw+fJiLFy8qgec333zD9OnTiYiImFTZdrudlJQU0tPTgeHDNqdPnyY2NhYY3jqgVqv56quvPGZqR4we4+DgYIC/nJX29fUdNzC/4YYbWLJkCVarlZaWFlauXDmpvgkh/j3kNLcQU1hWVhZVVVW8//77tLe3U1ZWRltbGyaTCRheMlar1dhsNrq7u/n999+B4SDl3XffxeFwcOzYMZ555hllafVqUavVJCQksGvXLhwOB83NzVRUVFy18p1OJyUlJbS3t9PQ0MC+ffuUfs+ZM4fly5eTl5fHhx9+yE8//URrayuvv/46jY2NE6rnkUce4cyZMxQVFeFwODhy5AiVlZWYzWavrhEabfbs2XzxxRfY7XYcDgcFBQV0d3cr7/39/bFYLLz00ku8/fbb/Pjjj7S0tCgnrKOjo4mMjKSyspLTp0/T2NhIdXX1Zeu86aab6Ojo4MSJE/T29uJyuZR3BoOBgwcP4nA40Ov1k+qbEOLfQ4JJIaYwk8mE2WymtLSUFStWYLPZeOWVV5TTytOmTSM/P5/9+/eTnJxMTk4OAC+88AK//fYbGRkZ5OXlYTQaxz3JPFnFxcW43W5WrlxJcXExubm5V61svV7PwMAABoOBwsJCTCYTq1evVt6XlJSg1+spLS1l2bJl5OTkcPz4cSIjIydUz8yZM9m1axetra2kp6ezdetWMjMzWbt27aT7sHbtWm6//XaysrIwGo3MmDGDJUuWeKTJycnBbDbz8ssvk5aWxlNPPUVvby8wPMtYXl5Oe3s7K1asoKqq6i/HeOnSpSQnJ2MymUhKSvK4iuiee+4hPDxc7sIUYopRXRy9WUYIIYTw0vnz51m8eDElJSU89NBD/3RzhBB/E9kzKYQQYlKGhobo6+ujurqa66+/ftyL14UQ1y4JJoUQQkyK0+kkJSWFiIgISktLx5ymF0Jc22SZWwghhBBCeE0O4AghhBBCCK9JMCmEEEIIIbwmwaQQQgghhPCaBJNCCCGEEMJrEkwKIYQQQgivSTAphBBCCCG8JsGkEEIIIYTwmgSTQgghhBDCaxJMCiGEEEIIr/0HO9maO4JmlcsAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "The university with the maximum average salary (i.e 866) for all ranks is California Inst. of Tech. with 257 all faculty members.\n",
            "\n",
            "The university with the maximum number of faculty members(i.e 2261) for all ranks is University of Florida with average all-ranks salary of 501.\n",
            "\n",
            "       Average salary-all ranks  Number of faculty-all ranks\n",
            "count               1161.000000                  1161.000000\n",
            "mean                 420.370370                   257.352283\n",
            "std                   92.286719                   314.090563\n",
            "min                  232.000000                     7.000000\n",
            "25%                  352.000000                    68.000000\n",
            "50%                  407.000000                   132.000000\n",
            "75%                  475.000000                   323.000000\n",
            "max                  866.000000                  2261.000000\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question2\n",
        "# Calculate the mean of the average salaries of all ranks for each state. Also, find out which state pays less salary for its faculty members.\n",
        "state_mean_salaries = aaupdf.groupby('State(Postal code)')['Average salary-all ranks'].mean().sort_values()\n",
        "print(state_mean_salaries)\n",
        "\n",
        "plt.figure(figsize=(13,7))\n",
        "plt.bar(state_mean_salaries.index, state_mean_salaries.values)\n",
        "plt.xticks(rotation=90)\n",
        "plt.xlabel('State')\n",
        "plt.ylabel('Average Salary')\n",
        "plt.title('Average Salary by State')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "AOul5cKdVUGp",
        "outputId": "d621dd32-8396-4dd1-9c39-6290ae835560"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "State(Postal code)\n",
            "WV    338.933333\n",
            "KS    339.111111\n",
            "WW    342.000000\n",
            "SD    344.222222\n",
            "MS    344.923077\n",
            "ND    353.333333\n",
            "MT    354.625000\n",
            "SC    358.120000\n",
            "KY    365.909091\n",
            "AR    368.062500\n",
            "ID    368.666667\n",
            "NE    369.117647\n",
            "OK    374.882353\n",
            "MO    377.529412\n",
            "AL    377.904762\n",
            "LA    380.750000\n",
            "TN    382.222222\n",
            "IA    382.666667\n",
            "NC    382.952381\n",
            "VT    384.800000\n",
            "IN    392.585366\n",
            "ME    395.285714\n",
            "OR    398.666667\n",
            "OH    408.264151\n",
            "NH    408.636364\n",
            "WI    413.703704\n",
            "VA    414.230769\n",
            "TX    415.462963\n",
            "NM    416.500000\n",
            "GA    417.190476\n",
            "IL    417.880000\n",
            "MN    419.880000\n",
            "WA    420.562500\n",
            "UT    424.000000\n",
            "CO    424.666667\n",
            "MI    424.906250\n",
            "FL    429.368421\n",
            "DE    432.000000\n",
            "MD    433.521739\n",
            "AZ    434.250000\n",
            "WY    445.000000\n",
            "PA    448.670588\n",
            "AK    450.750000\n",
            "NY    464.271605\n",
            "NV    480.000000\n",
            "DC    488.777778\n",
            "RI    494.625000\n",
            "HI    495.333333\n",
            "MA    504.238095\n",
            "CT    509.437500\n",
            "NJ    515.125000\n",
            "CA    529.425926\n",
            "Name: Average salary-all ranks, dtype: float64\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1300x700 with 1 Axes>"
            ],
            "image/png": 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QQTlz5tSUKVOUMWNGSQ/DmA8++EA9e/Z07JMm5vLlyxo0aJD27dunjz76SM2bN3e6/5h27typoKAgx/5ho0aN1KZNG1WqVMnpGmZ84ebj45Po8zgTUmzfvt2pYMDVz+Wk7JP4+PioZs2aiX5xmliQ6cw6RUZGKjg4WHPnztUTTzyhqVOnRpueWtuEdMWAbW3cuNGoWrWq4ePj49T8zz//vLF//37Hz59//rnRrl07x8+rVq0yGjdu7HIfN27cMD7//HOjUqVKTvXSq1cvY9CgQfFO//jjj40+ffo49dxmrNNnn31mBAYGGvfu3Ys17e7du0ZgYKAxduzYRHvx9vY2goODneo7PuXLlzfOnz8f7/Tz588bFSpUcLretm3bjLp16xqtW7c21q1bZ/z888/R/iWkatWqxl9//WUYxsPXwcfHx1i/fr3Tz/2oRYsWGX5+fsa2bdtiTdu6davh5+dnLFmyJMEa3t7exrVr1xw/+/r6GmfPnnX8fPXqVaf/FoYNG2YEBAQYJ0+eNHr27GlUq1bNOHLkiHMr8/+NGDHCaNasmXH16tVY065cuWI0a9bMGDlyZLzLHzlyJMF/K1eudHp9DMMw/vzzT2PQoEFGpUqVjBYtWhjTp083Spcu7fgdOiM4ONgYNmyYUbZsWaNjx47Gn3/+6fSyj7py5YoxZcoUo379+kaNGjWMYcOGGWXKlHGpl8qVKxsXLlyId/qFCxeMypUrJ1jD29vbqFWrllGnTp14/9WtW9fpnmL6+++/jbffftsoXbq08eGHHyb4txvVT3Lfww0aNDAWL15sGIZh7Ny50/D29ja6du1qhISEJHk94uolNet4e3sbderUMfr3728sXbrU+Oeff1x+3tKlSxuff/65cfv27WiPu/q+MwzDCAsLM8aNG2eULVvWeO+994wqVaoYb7zxhnHp0iWX6uzfv9/45JNPjMqVKxstWrQwZs+ebdy4ccOlGlHr9eDBg2iPJ2W9EnLkyBGXPm8e5erfwVtvvWVUqlTJeO+994yNGzc61s3VdfL29jbOnDlj3L59O8F/CWnWrJmxcOHCeKf/+OOPRrNmzZzuKaU5+3sya3uZ3G33o33MmTPHKFu2rDF8+HAjIiLCpT6iPHjwwPjyyy+NMmXKGK+88orx6quvOv516NDBqRoHDhwwBg8ebFSuXNlo2bKlMXPmTOPq1asuvf+Cg4ONRo0aGe+++64RGRlprF692ihbtqzx9ddfO70ujwoKCjKqVKli9OjRwzh48GCs/QFXhISEGAsXLjReeeUVw9vb22jUqJExbdq0OPdVYmrQoEGC2/0DBw4YDRo0cKmfuISGhiY6T2J/1878fUdJ7j6Jt7e30bt3b6N///4J/jPTX3/9Zfj5+cV6PLW2CekJY3bYzN27d7V69WotXrxYu3fv1tNPP+30JR83b96M9s3ujh07VLNmTcfP5cuX16VLlxKtExYWpn379mnHjh3avn279u/fryeffFINGzZ0KmHdv3+/Pvvss3inN2/ePN5UOSYz1mnr1q168803lTlz5ljTsmTJos6dO2vatGl6//33E+2nYcOGiaa2CV0Dny1bNp09e1aFCxeOc/rZs2dduj6xevXqGjhwoN59991YZ7cklqzfvHnTMWZJlixZlCVLFqfPeohp5cqV6tatm6pXrx5rWo0aNdS1a1ctX7480et2zTJo0CDdvHlTzZs3l5eXl77//nunvo141C+//KKhQ4fGebZEvnz59MEHH2jIkCEaOHBgnMu3aNFCbm5uCV4L6uxp9y+99JJCQkLUrFkzLViwwHEZzrhx45xaPjQ0VN99953j7J1vvvlGAQEBTi0bU7du3bRz507Vrl1bAwcO1AsvvCAPDw8tWLDApToPHjzQ9evXVahQoTinX79+3anR0YOCgky5jOVRly9f1sSJE7V06VIFBARo6dKlSf7bcNWlS5ccf0eVK1dWhgwZ9O677ybplGWrmDlzpnbs2KEdO3Zo0KBBCg8P11NPPRVtjKjEzkpq3bq15s6dq+3bt6t58+Zq0qRJks5wOXLkiD788EOFhoZq2rRpql69uuNylmbNmqlfv35q06aNU7XKly+v8uXLa+DAgVqzZo0WL16ssWPHqk6dOmrdunWcYwfF1KtXLy1evFg//fST41u81HqvJSapfwe///67OnTooFdeeSXJZ4xFadiwYbzTDCdOcz9z5oz8/f3jne7v7+/0+BjOnFXg5uamUaNGOVXPCszcdrdv316lSpVSr169dOLECX355Zcu9fLXX3+pX79+unHjhqZPnx5nT854+eWX9eqrr+qHH35w6hLluOTOnVvfffed/vvf/+r111/Xrl279Pbbb6tbt25JqteyZUsVKFBAXbp00c8//+x47zrzHo7Jy8tLrVu3VuvWrXXmzBktXrxY3377rb744gsdPHgwwWUvXbqU4PYyV65c+ueff5zuJaawsDDNnTtX06ZN05YtWxKct3Llyk7tAyX22pi1T/Lxxx8ne1/ClcsAn3766TiPlay8TUgrhB02sWfPHgUFBWnNmjWKiIhQw4YN1atXL6cu9YiSN29enT9/XgULFlRYWJgOHz6snj17OqaHhIQ4TseLy6RJk7Rjxw7t379fhQoVUuXKldW2bVuNHTvWpWsNg4ODVaRIkXinFylSRNeuXUuVdZIenkJdtmzZeKeXK1dO586dc6qfd99913E9flJUrlxZc+bMUY0aNeKcPmvWLD333HNO1bp3757Gjh2rH374QW+//ba6d+8e65TPxJw4cUJXr151/Hzq1CmFhoZGm8eZkODYsWP64IMP4p1es2ZNzZ49O8Eabm5uCgkJUebMmR07ACEhIY4Bn5wZ+OnR04dz5MghwzBUunTpaOMXSM7ttF65ciXBsT1KlSoV7bWLyZnrWkNCQhKdR3r4e2nSpImqVauWpFMY69evr5CQEL366qtq1qyZJMV5OZAzv2uzDmRKliyprVu3qly5cnFO37Jli9Njq5jl9u3b+uabbzRnzhyVLl1a33//vUvXx7q5uTkdYMUnLCwsWjCbMWPGJF8qZRVRgYb08O4Me/bscYQfS5Ys0YMHD1SsWLEE73AwbNgwDRw4UKtXr1ZQUJBGjRqlgIAAGYahyMhIp3tp06aNAgMD1b9/fz3xxBOSHg6OOHXqVC1cuFCjR4/WunXrYp1anJDMmTOrefPmat68uc6dO6ePPvpIXbp00bZt25QzZ84El33rrbf01ltvaceOHQoKCtLLL7+sp59+WoZhuHR3gMTGk4gac8gZyf07mDdvnhYtWqSWLVuqePHijnAqKSZMmJCs93+WLFl069ateEPVO3fuxPlFSFyWLFmiQoUKqUyZMkke0NDM35MZzNh2P6pKlSpatGiRevToodatWzs1Zoj0cJy3SZMmqVmzZskelLZGjRpatGiRgoOD1bx5c73wwgsufS4/um384IMP1K9fP9WrV09169aNNs2VL1BmzJihL7/8Uv/5z3/09ttvu7yvFpfQ0FDt2rVLO3bs0M2bN/Xss88muowZX7iFhYVp4sSJ2rJlizJlyqQuXbqoXr16WrRokcaPHy8PDw+99tprifby6HhQhmGoa9euGjFihMtjm5ixT5Lc7XaUhC5zefQyQEnKlClTnJc4mrVNsBPCjnRu6tSpWrx4sU6dOqXy5cvrww8/VNOmTZP0QV+zZk2NGzdOffv21c8//6wsWbJEO3A+duxYgtdNT5o0SYUKFVK/fv3UqFEjl+5U8qj79+8nGEBkyJBB4eHhTtVK7jpJDw8oE3o9n3jiiVgH+PFp2rRpspLft956S23btlXPnj3VpUsXx8bp5MmTmjZtmjZv3uxUGr1nzx71799fmTJl0vz58+M8YAwJCXHszMenU6dO0Xba3nrrrWjTnf3G4ebNmwm+Lnny5En0Q9owjGjf4hmGEW3wxKgAJCExB83z9fV13MUlirMbtVy5cun8+fPxDh51/vz5BHfC49uZiBo0a9GiRTp48KBTr+8vv/yixYsXa8iQIbp3756aNWuml156yel1ibo967Rp0zR9+vRov3NXv10y60CmVatWGj16tEqWLBnrWvoNGzbom2++Uf/+/ROsYUa4EGXq1KmaNm2a8ubNq3HjxiU4zkJ8DMNw/F1KD3cKhwwZ4hjkLqFbND5q/PjxjmXCw8P19ddfxwpZEwvsYo4bkNQ6ZsucObNq1Kih5557TtWqVdPvv/+uH374QSdPnkxwuajR9AMDAxUYGKjTp08rKChIBw8e1CuvvKLatWurYcOGatCgQYJ1Jk+eHO9t+9q0aSN/f399/PHHLq/XP//8o8WLF2vJkiW6e/euOnfu7NJ2vGrVqqpataoGDRqkFStWaNGiRXr11VdVsWJFNWzYMNFxu7JmzZrg30K2bNni/Ux6lBl/B76+vvL19dWAAQMc4dTo0aMVGRmpLVu2qECBAk6/NpUqVUrWNtfX11fz58+PdwyCuXPnytfX16lar7zyilauXKnz58+rZcuW+s9//pNomBVTYl+WOPt7kqSFCxc6zviKiIjQ4sWLHfttzgbpZmy7YypUqJDmz5+vgQMHxtqniM/MmTM1YcKEeO8o5orp06fr0qVLCgoK0pAhQ3T//n01btxYknPb/0fPyoz675o1a7R27VrHttPZ7eW5c+fUr18/nTlzRmPHjk3S31NMu3btcozdYRiGGjVqpL59+zr1RZkZX7h9+eWX+uGHH+Tv7689e/aoV69eatmypfbt26cBAwaoUaNGToU5Mc8Ud3d3l6+vr8vjO5mxT+LM/qUz4vr9njx5UuPGjdPGjRv10ksvRfvCNiExtwlBQUHq0KGDKlSo4NQ2wU4YoDSdq1q1qgIDA9WqVatkn6Z0/fp1vfvuu9q9e7e8vLw0ZsyYaLfie+2111S6dOl4DyA2bdqk7du3a8eOHTp8+LCeffZZVa1aVVWqVFHVqlWdHqU4sUEDQ0JCNGHCBKc2FDHXafTo0dF2Zl977TX5+vqqT58+8dYoXbq01q5dG2//165dU+PGjV0eECypNm7cqIEDB+rGjRuOxwzDUK5cuTRixIhER7CWHp6N0qFDB/Xp0yfOAZXu3LmjLl26JBicXLhwIdHnCQkJcep9Wbp0aW3ZsiXB1zixQcqcvQWmK4NVJed2sQMGDNC5c+f03XffxXqNw8LC1LlzZxUpUsTpweiSOpBnTNu2bXPcbvP+/ft644031KZNmwS/1XHmdy3FH9DEJTQ01HE7tAMHDigiIkL9+/dXq1atnD6Q6du3r1asWKFixYpFC/5Onz6txo0b6/PPP09weR8fH5UpU0bt2rVTkyZNkvVtoI+Pj7JkyeK4BXN8Evrmpn///k7tMCX0nunQoUOiy7u5uSV6lxSz6sQ8o6pmzZqaN29erLP3nPk28M8//9T27dsdl0cWKFBAVapUUeXKlVW1atV4v32XHv5+ypcvrzZt2qhp06aOIDcyMlK//vqrFi1apN9//z3R07jNuIX4o+v0888/OwZOrVmzplq1aqWaNWua8s3t8ePHtWjRIi1fvlzbtm1Ldj1nmPF3ENeAtCdPntSiRYu0bNky3bp1S/7+/vrmm28S7SW5A5Tu2bNHHTt21IsvvqjOnTtHG4Dzu+++c9wRytkzKsPCwrRu3ToFBQVp7969qlWrllq3bq2AgACn/vbPnTunwoULuzygeEzO3OFIehgcJyS52+4OHTpo8uTJ8d6ZbNq0aRo3bpxTdwEqVKiQ4yyw6tWrm3Y3lq1btzq2mQULFlTDhg3VsGHDeM/4NXPfyM/PTwEBARo6dGiy7vRx5coVLV26VIsXL9bp06fl6+urVq1aqUmTJol+qfWow4cPq23btqpTp06cX7j9+uuvWrBgQYJnQ7/44osaOHCgXnzxRR0/flz/+c9/FBgYqFGjRiUrMEjqINpRkrNPsm3bNn3yySdasmRJnHepadeunYYOHerSGW4xLwN87733kn2clxbbBCsg7EjnHv2Aj7p+Oakf8N9//706deqk27dvy8vLK9aOysWLF/Xee+85debAnTt3tHv3bse4HUePHlXRokVVrVo1ffLJJwkua9ZG+FHxrdONGzf0xBNPJHgmiVm3tzLr1lTSw0tQNm3apDNnzsgwDD377LMKCAhw+paHPj4+Gj16dJzX0YaGhuqNN97QjRs3tGbNGpd7S8qZB4mNZB0WFqZNmzYl6zarzjLrdrH//POPWrVqpUyZMum///2vYyf55MmTmjdvnsLCwhQUFOS4NW5czLgjQXxu376tZcuWKSgoSIcPH1bJkiW1fPnyOOc18wAvLkk5kImyatUqLV++XGfPnpVhGHrmmWfUrFkzp76ZifkNV4MGDdSmTZsk3ZrNjKAiJSQnsDOjTszPz5jfgDnz+dmxY0ft379fRYoUcYQbVapUUf78+Z3uw5nfdXBwcKIHxmaF1tLDy3OeeOIJtWjRQs2bN4+3ZkI72vfu3dO2bdsc32iPGzcu2hlA7u7ueueddxLdWXfmtqhubm6aOHFigvOY8XcQc7+mevXqjlPTIyIitHHjRi1atCjRz4i6detq8eLFLp89EdP69esd4zg9Knv27Bo2bFiC44Ik5MKFC1qyZImWLl2qiIgIrVixItEDz5jvv969e+vjjz92+k5aZkupbbertyKP2teMugNgUsb1iRIREaHp06drw4YNCg8PV40aNdSjRw/dv3/fsc08duxYktfJlX2jn376KVl3YIlSpkwZ5cyZU82bN1fr1q1VvHjxJNdK7hdu5cqV0y+//OL4m65QoYIWLlwob2/vJPckJT/seJSr+yTdu3dXtWrV4r0r06xZs7R9+3ZNnjw50eeOeRlg3759Xdon2bZtm4YPH64ff/wxzuClbdu2+vjjjxMci8huCDvSOTM/4CtUqKBhw4bFewDcuXNn/fvvvy4dAEdERGj//v3asGGD5s2bp9DQ0FQ5YI1ixq3ezDpjwIxe9u7dqxs3bkQ7VXPJkiWaOHGi7t69q3r16mnQoEGJ3v5qzZo1+vDDD/XFF19E2zBF/Z6vX7+u2bNnu3QwkZwzD8zaQXZ2YKf4mH272HPnzmno0KHasmVLtNNX/f399cknn6ho0aLxLvvooFkvvfSSY9CslLh92K5du7R48eJ4B8Yz8wAvIVEHMkFBQfr6669T9LkeFRoaqtWrV2vJkiXatWuXihYtqlatWikwMFD58uVLtT7MGsDQrMDOjDpm3B6wbNmyypcvn+rVq+c4WzCpl0km93dtxtkCj9aKEtdr5EwQNH/+fP3222+OHXE/Pz+VLFnSMY7EqVOn1KVLl0RvjZoat0V1VtQ+TVz7NdWrV1fVqlWd2q+pUqVKnK9r1qxZ9eyzz+qNN95wahBY6eHg75s3b9bp06clSc8++6yef/75ZAXAUZdKLFmyROHh4Vq9enWiYUdit1h3RWRkpBYvXqz169frwoULcnNzU5EiRdSwYUM1b97cqb9bs0NeM85gjDmuz/79+50a1yfK5MmTNWnSJPn7+ytz5szavHmzmjZtGm0dDh06lODZC2atkxn7NZK0bt06vfjii6acMSY9DFmj/h6ivnBz9u8h5tlAZoUUZoYdUZzdJ6ldu7amT58eb4j0999/q3Pnzvr1118TfL5HLwPs06dPki5bihow2IzgxS4IO2wkuR/wa9as0QcffKDx48fHewA8a9asBAf/iYyM1MGDB/XHH39ox44d2rNnj+7evasCBQo4wpdHx1GIS1wH9EuXLtWECRNcOqCX/u8bosQGBEuNP3ozeunSpYuqVq3quEf7sWPH1KpVK7Vo0ULFixfX9OnT1bZt21h3VonLwoULNXLkSE2ZMkXVqlVTaGiounTpomvXrmn27NlODfKUkmceuOrnn3+Od9qjAzsdOHAg3vlGjhypP/74QzNmzIi1M3316lW98cYbqlGjRrx3UInPzZs3debMGUnS008/7dQ3jWXKlIlz0KyUCDuOHj2qwMDAeA+qzDzAc+YbZCnx+9GbtRMYU9To9D/99JOuXbumgIAAp84yMeObcTM+I8wK7MwO/pLj0YH0tm/friNHjujZZ591XCLpymWSj0rK79rMM/TMCNL/+9//qkuXLo4zImPu8P/000+aN2+efvjhh2T36wyz7ziSnP2amANLR7l165YOHTqkVatWacKECQmeTZrYt6Sunp7+6GUsu3fvVu3atdWqVSu98MILTl2aYlbYYRiG3nrrLf3+++/y8fGJdnnO8ePHVbduXX311Vcu1UyqlNqPCAsL0549exzj+jj7ZVuDBg30xhtvqF27dpIeXsbStWtX7d+/3+nLh8xaJzP2ayRzt5dxhWSFCxdWo0aNnArJYp4NtHHjRlWvXj1WUJLYPkDMbW5S65gR9JYvX14rVqyI9wusM2fO6KWXXtL+/fsTfA4zLgOsU6eOpk2bluzgxU4YoNRGkjpwW5RGjRrp9u3bev/992MdAAcHByd6ANylSxft3btXISEhyp8/v6pVq6YBAwaoevXqLm2IJ02apGrVqjnCjmPHjumjjz5SYGCg44A+f/78Th3QmzEgmFkbCTN6OXr0qHr16uX4edWqVSpfvrxGjBghSSpQoIAmTpzo1GvTpk0b3bhxQ2+//ba++uorTZgwQVeuXNGcOXOcCjrMul2XZM6BohkDOyX3drGPSu4G1Mw7EpjBrIE8k3M3oke5Mmq5K4oWLaq33npLhQoV0ueff67ffvvNqeXMWC8zPiMmT56sTJkyaf369bHexz179tQbb7yhyZMnJ/oeNquOGZ+fXl5eqlmzpuO24VGXSW7fvl3Tpk1T37599cwzz2jFihUJPk9MSf1dJ/cW4lFcGT8oPmfPno12HXfmzJmj9RZ1xmZqMeOOI49Kzn5NYl+slC5dWt9++22CYcfMmTP18ssvx3kZULZs2dS2bVvNmDHDqbBjyJAhWrVqlQoUKKBWrVpp3LhxLodmZg2qvHjxYu3atUvff/99rFu0btu2Te+8846WLl2a6C1jkxtumbkfkdC4PoMGDXL67+3ixYvRBiH29/eXm5ubrly54tRl4mauk1kDVpq1vTQMQ927d9dvv/0mHx8flSpVyhGS9e/fX+vWrUs0JIv5d/mf//wn0eeNS8xtblLrOPOZldjf3JNPPqm//vor3rDj2LFjTp05GDW4bXJcu3ZNGTLEf3ifIUMGx2WpjwvCDhsw6wNeSt4B8BNPPKF+/fqpatWqybql5LFjx9S7d2/Hz6tWrVKFChWSdEA/ePBgDRgwwPFNyueff+7ygGBmbSTM6OXmzZvRDjx27NjhOACQHqbLly5dSrROlDfffFM3b95Up06dVLhwYc2ePdvpMV/MuoWoZN4BcJSYAzstXbrUqYGdknu72Ecld6c/6o4EAwcOdAyaldQ7EpjBrAM8s06DN3PU8ig7d+50jOvg7u6uxo0bq3Xr1k4ta8Z6mfEZYVZgZ1adlAilvLy8lDNnTuXMmVM5cuRQhgwZ9Pfff7tUIzm/6+TeQjyKGUHQrVu3oo3R8ccff0SbHhkZ6fRdfMxgRmAnmbtfE5/atWsnerlcYrdWff755/Xdd9859XwLFixQoUKF9NRTT2nnzp3auXNnnPMl9DeT2B2bnKkhSStXrnSc7h5TjRo11LVrVy1fvjzRsCO52zmz9iNijuvTrl07jRs3zqVLcaNERETEup2wK3cBNHPf6FFJ3a+RzNteLl68WDt37kxWSGbWPoBZdcz4zKpVq5a+/PJLvfDCC7HeO/fu3dPEiROdulPQ6NGjXXreuJgVvNgJYUc6Z+YHfJSkHgCvXbtWBw4c0N69e2MNKuYKsw/oM2XKpGbNmqlZs2aOAcGGDh3q9IBgZh5UJbeXvHnz6vz58ypYsKDCwsJ0+PDhaM8dEhKS4GCrUWKeSZEhQwblypVLI0eOjPZ4QjtMZp55YNZGK+bATt9//71LAzsl93axjzJrp9/Ly0utW7dW69atHYNmTZ06VePGjXNpIM/kMusALyUkZyfw8uXLWrJkiZYsWaIzZ87Iz89PH3/8sRo3bhzvHaFSUnI/I8wK7MyqY8bnZ9TlkVEHvlGXRz755JOOQa+rVauWaC9m/a6TewvxKGYEQQUKFNBff/3luMwopmPHjpl2VwpnmBHYpcR+TVzCwsIS3V6a+S2pGd/amvWteGIhTs2aNTV79uxE6yR3O2fWfsTu3buVL18+x5guyRnXJ2agJMUdKsX392v2WZnJ3a+JKTnbS7NCMisx4zOre/fuWrdunRo2bKj27dtHu0vNvHnzFBERoW7duqX0qkgyL3ixE8KOdM7MD/jkHgBHDXqzY8cODRo0KMmDpZp1QB+XqOstDcNQRESEy8snZyNhRi81a9bUuHHj1LdvX/3888/KkiVLtFveHTt2zKlLhmIetDZr1syFzh+y2pkHjw7sNG7cuCQN7BQQEKDx48fHe7vYqA2IM8zYgMZUrFgxffjhh3r//fcddyRwRmKXCUUNPpkQsw7wzJTcncAuXbpo27ZtypUrl5o3b65WrVrFe9CYFpLyGWFWYGdm8BclqZ+flStX1t27d5U3b17H5ZHVqlXT008/7fRzm/W7NutyLsmcIKhmzZqaMGGCateuHeeO7eTJk6Odkp8akhvYmblfk5BFixZFGyQ2LmZ+S2rGt7ZmfTFw8+bNBD/P8+TJE+vuM3FJ7nbOrP2InTt3Osb1mTp1qt57770kj+sT1+VProRKZu4bmbFfE8WM0MSskMxqzPgicsGCBRoyZIg+//zzaAPSBwQE6JNPPkm1OyZZKXixCgYoTefMHLjNzNHYkzOo2ODBg3Xs2DHHAf2SJUu0adMmx8HnsmXLNHPmTAUFBTnVb3IHBJOSfysos3q5fv263n33Xe3evVteXl4aM2aM6tev75j+2muvydfXV3369HG5NzMk5xaiyWXGwE5m3C42Pkm5zaBZkvu3nVp3Y3GFWaOWt27dWnXq1DFtlPrkSu5nxIABA3Tu3Ll4A7vOnTurSJEiiX6Om1VHSv7n54IFC1StWjXHTltSmPW7NnOw3kfFDILee+89p4Kga9euqUWLFsqYMaPat2/vOG3+1KlTmjt3rh48eKClS5em2a1Jk3LHEbP2a+J7b96+fVuHDx/W6dOnNWfOHJUrVy7eGsOHD9eOHTu0aNGiOMOkNm3aqFq1avr4448T7cdKYt4RI6Zr167phRdecPnueWZs58zYj3h0XJ8dO3bo6NGjSRrXxyxJXScz9mskc7aX0sPbxm7YsCHes6wuX76sF198UQcPHkxSfStIymfWox4dkL5o0aKpMoh3TBcuXNCQIUO0efPmOIMXM+9Ykx4QdtiM1T7gkzIatpkH9DEHBHvppZdcHhDMrI2EGb1EuX37try8vGJt/G7cuCEvLy+n7lSTkqJu17Vo0aJUCzvMugVecm4Xm5DkbkDTUkod4CWHWTuBVmLGZ4RZgZ1Zdcz6/LQrM4L0c+fOaciQIdq6dWusz6whQ4ak+o6tGV8wPCqp+zUdOnSI8/GoW8++8sorib42165dU2BgoDw8POL9lnTJkiVpFiYlVcw7YsQUFhamTZs2uRx2mLmdS85+RNQdSqIufdu9e7fu37/v8vqYzdV1Mmu/xqztZUqFZGnN7M8sq7BC8GIFhB02k9Yf8AkNKla5cmVVrVpVhQoVcqqWGQf0UbdyLF26dIIbjIQ+4M3aSJjRC1JPUm4XG5NdN6BWYNZOoJWY9RlhVmBnRh07hlJmMTsIunHjhs6ePSsp6Z9ZyWVmqB8lrfdr7PgtqZln8lphO5fYuD5R/woXLpwq/ViNmaFJSoRkaSklPrNgLYQd6ZyVPuBjDipWuXJlValSxfRBxVxhxge8WRsJOx6cIX5sQOEqsz8jzAjskluHz7342TEIMiOws9J+zaP4ljQ2q2znKlWqFG1cn6h/rozrg8SZGZJZBV9E2h9hRzpnpQ/4smXLKl++fKpXr16KDioGpAdsQAEkxI5BkBnrZKX9GiTMKts5M8b1wePJjp/DiI6wI52z0ge8mYOlAukdG1AAcJ2V9muQMLZzAKyOsAMpxmqDpQIAAAAAHg+MkIcU4+XlpZw5cypnzpzKkSOHMmTIoL///jut2wIAAAAA2BxndsA0Vh1UDAAAAADweCHsgGkYVAwAAAAAYAWEHTANg4oBAAAAAKyAsAMAAAAAANgKA5QCAAAAAABbIewAAAAAAAC2QtgBAAAAAABshbADAAAAAADYCmEHAACwpOvXr2vw4MGqXbu2ypUrp+eff16dO3fW7t27JUne3t76+eefXa5bt25dff/99yZ3CwAArCRDWjcAAAAQl3fffVfh4eEaPXq0nnrqKQUHB2vbtm26ceNGWrcGAAAsjlvPAgAAy7l165aqVKmi2bNnq2rVqrGm161bVxcuXHD8XLhwYW3YsEFnz57Vp59+qj///FN3795VsWLF9P7778vf31+S1KFDB+3YsSNarWPHjkmSdu3apc8//1wHDx5Urly5VL9+fb333nvy8vJKwTUFAAApgctYAACA5Xh5ecnLy0s///yzwsLCYk1ftGiRJOnTTz/V5s2bHT+HhoaqVq1a+v7777VkyRK98MIL6tatmy5evChJmjhxogoUKKCePXtq8+bN2rx5syTp7NmzevPNN9WgQQMtW7ZMX3zxhXbv3q3hw4en0hoDAAAzcWYHAACwpLVr12rQoEG6d++eypQpo6pVq6pJkyby8fGR9HDMjsmTJ6tevXoJ1mnWrJnatWunV199VdLDs0I6duyoTp06Oeb56KOP5OHhoWHDhjke27Vrlzp06KB9+/Ypc+bM5q8gAABIMYzZAQAALKlhw4aqXbu2du3apX379mnTpk2aNm2aRowYoZYtW8a5TEhIiCZNmqRff/1VV69eVUREhO7du+c4syM+R48e1bFjx7R8+XLHY4ZhKDIyUufPn1fx4sVNXTcAAJCyCDsAAIBlZc6cWc8//7yef/55vfPOO/roo480ceLEeMOOMWPGaOvWrerXr5+efvppZcmSRT179lR4eHiCzxMaGqp27dqpQ4cOsaYVLFjQlHUBAACph7ADAACkGyVKlHDcbjZjxoyKiIiINn3v3r0KDAxU/fr1JT080+PRgUyjlouMjIz2WJkyZXTixAkVLVo0BbsHAACphQFKAQCA5fz777/q2LGjfvrpJx09elTnzp3T6tWrNW3aNL344ouSHt6BZdu2bbp69apu3rwpSSpatKjWr1+vI0eO6OjRo3r//fdjBRuFCxfWzp07dfnyZV2/fl2S9Oabb2rv3r0aNmyYjhw5otOnT+vnn3+ONoYHAABIPxigFAAAWE5YWJgmTpyoLVu26OzZs3rw4IEKFCigRo0aqVu3bsqSJYs2bNig0aNH68KFC3ryySe1YcMGnT9/XgMHDtSff/6pXLly6c0339SaNWvk4+Ojjz76SJK0b98+ffLJJzp16pTCwsIct57dv3+/xo8fr71790qSnnrqKTVp0kTdunVLs9cBAAAkDWEHAAAAAACwFS5jAQAAAAAAtkLYAQAAAAAAbIWwAwAAAAAA2AphBwAAAAAAsBXCDgAAAAAAYCuEHQAAAAAAwFYIOwAAAAAAgK0QdgAAAAAAAFsh7AAAAAAAALZC2AEAAAAAAGyFsAMAAAAAANgKYQcAAAAAALCV/wdDmGpBUt+nlgAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question3\n",
        "# find out which type of universities offers more salaries and benfits to its faculty members. Also find out number of universities of each type by state\n",
        "# group by type and calculate mean salaries and compensations\n",
        "grouped = aaupdf.groupby('Type').agg({'Average salary-all ranks': 'mean', 'Average compensation-all ranks': 'mean'})\n",
        "\n",
        "print(grouped)\n",
        "\n",
        "# Group the data by state and type and count the number of universities in each group\n",
        "grouped_data = aaupdf.groupby(['State(Postal code)', 'Type'])['College Name'].count().reset_index(name='Count')\n",
        "\n",
        "# Pivot the data to create a table where the rows are states and the columns are university types\n",
        "pivot_table = grouped_data.pivot(index='State(Postal code)', columns='Type', values='Count').fillna(0)\n",
        "\n",
        "# Plot a stacked bar chart to visualize the data\n",
        "pivot_table.plot(kind='bar', stacked=True, figsize=(10,6))\n",
        "plt.title('Number of Universities of Each Type by State')\n",
        "plt.xlabel('State')\n",
        "plt.ylabel('Number of Universities')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "id": "hB1uaxbQavOX",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 682
        },
        "outputId": "87c22003-58c7-47eb-ecf4-3d89a9c791eb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "      Average salary-all ranks  Average compensation-all ranks\n",
            "Type                                                          \n",
            "I                   533.666667                      665.594444\n",
            "IIA                 439.950413                      553.931129\n",
            "IIB                 375.925446                      470.322528\n",
            "VIIB                342.000000                      418.000000\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question4\n",
        "# Is there a correlation between the average salary and compensation of faculty members across all ranks? Do different types of institutions (i.e., Type I, II, or VII) show different patterns in this relationship?\n",
        "# calculate the correlation coefficient\n",
        "corr_coef = np.corrcoef(aaupdf['Average salary-all ranks'], aaupdf['Average compensation-all ranks'])[0, 1]\n",
        "\n",
        "print('Correlation Coefficient between Average Salary and Compensation for all Faculty Members: ', corr_coef)\n",
        "\n",
        "# create scatterplot for Type I institutions\n",
        "sns.scatterplot(x='Average salary-all ranks', y='Average compensation-all ranks', data=aaupdf[aaupdf['Type'] == 'I'])\n",
        "plt.title('Type I Institutions')\n",
        "plt.show()\n",
        "\n",
        "# create scatterplot for Type II institutions\n",
        "sns.scatterplot(x='Average salary-all ranks', y='Average compensation-all ranks', data=aaupdf[aaupdf['Type'] == 'IIA'])\n",
        "plt.title('Type IIA Institutions')\n",
        "plt.show()\n",
        "\n",
        "# create scatterplot for Type VII institutions\n",
        "sns.scatterplot(x='Average salary-all ranks', y='Average compensation-all ranks', data=aaupdf[aaupdf['Type'] == 'IIB'])\n",
        "plt.title('Type IIB Institutions')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "UvCDj1ELsJfD",
        "outputId": "0c1612da-d707-43f6-db56-b311c30875a9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Correlation Coefficient between Average Salary and Compensation for all Faculty Members:  0.9894438420401281\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question5\n",
        "# Are there any notable differences in the average salaries and benefits of full, associate, and assistant professors in institutes ? Plot the way they are distributed?\n",
        "# Calculate the average salary for each rank\n",
        "full_prof_salary = aaupdf['Average salary-full professors'].mean()\n",
        "associate_prof_salary = aaupdf['Average salary-associate professors'].mean()\n",
        "assistant_prof_salary = aaupdf['Average salary-assistant professors'].mean()\n",
        "\n",
        "# Print the results\n",
        "print(\"Average salaries:\")\n",
        "print(\"Full professors: $\", round(full_prof_salary, 2))\n",
        "print(\"Associate professors: $\", round(associate_prof_salary, 2))\n",
        "print(\"Assistant professors: $\", round(assistant_prof_salary, 2))\n",
        "\n",
        "plt.figure(figsize=(12, 8))\n",
        "\n",
        "# Subset the data to include only the relevant columns\n",
        "df_subset = aaupdf[['Average salary-full professors', 'Average salary-associate professors',\n",
        "                'Average salary-assistant professors']]\n",
        "\n",
        "\n",
        "sns.set_style('whitegrid')\n",
        "# Melt the data into long format\n",
        "df_melted = pd.melt(df_subset, var_name='Salary Type', value_name='Salary')\n",
        "\n",
        "# Create a violin plot with rotated x-axis labels\n",
        "sns.violinplot(x='Salary Type', y='Salary', data=df_melted, inner='stick' )\n",
        "plt.xticks(rotation=45)\n",
        "\n",
        "# Display the plot\n",
        "plt.show()\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 938
        },
        "id": "Y7wFDUu6bO1f",
        "outputId": "9f0bb28d-0a3f-4bff-f398-5216a6564f74"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Average salaries:\n",
            "Full professors: $ 524.14\n",
            "Associate professors: $ 416.4\n",
            "Assistant professors: $ 351.93\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "USNEWS DATASET"
      ],
      "metadata": {
        "id": "ULQQAJz--d_7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# question6\n",
        "#  Does a higher instructional expenditure per student lead to higher graduation rates?\n",
        "# select the relevant columns\n",
        "df = usnewsdf[['Instructional expenditure per student', 'Graduation rate']]\n",
        "\n",
        "# remove any rows with missing values\n",
        "df = df.dropna()\n",
        "\n",
        "# calculate the correlation coefficient\n",
        "corr = np.corrcoef(df['Instructional expenditure per student'], df['Graduation rate'])[0, 1]\n",
        "\n",
        "# plot the data\n",
        "plt.scatter(df['Instructional expenditure per student'], df['Graduation rate'])\n",
        "plt.title('Relationship between Instructional Expenditure per Student and Graduation Rate')\n",
        "plt.xlabel('Instructional Expenditure per Student')\n",
        "plt.ylabel('Graduation Rate')\n",
        "plt.show()\n",
        "\n",
        "# print the correlation coefficient\n",
        "print('Correlation coefficient:', corr)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489
        },
        "id": "pYLJaTrGSgmD",
        "outputId": "924a530a-f44b-4f55-d903-431de32d833f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Correlation coefficient: 0.3382378770067571\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question7\n",
        "# find out the bar graph for state-wise mean average graduation rate\n",
        "# Group the data by state and calculate the average graduation rate for each state\n",
        "grad_rate_by_state = usnewsdf.groupby('State(Postal code)')['Graduation rate'].mean().sort_values(ascending=False)\n",
        "\n",
        "# Create a bar chart to visualize the differences in graduation rates between states\n",
        "grad_rate_by_state.plot(kind='bar', figsize=(15,8))\n",
        "plt.title('Average Graduation Rate by State')\n",
        "plt.xlabel('State')\n",
        "plt.ylabel('Average Graduation Rate')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 727
        },
        "id": "8s-9g7iGdDNv",
        "outputId": "c554454c-ff1b-47e7-a983-2553412c287a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1500x800 with 1 Axes>"
            ],
            "image/png": 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LFizQ6NGj1bBhQ7Vv3z7Xa5K5480331RycrLatGmjwoULa/r06YqMjMxXplnhwoXVvn17tW/fXvv27dOCBQv00Ucf6f3339fWrVvdyipevLg+/vhjPfnkk3rmmWe0ceNGvfDCC+revbtHZ5au89MzMzIyNGHCBK1Zs0YhISF67rnn1LhxY82fP19jx46V3W7X008/7XaulT+AWXnKV/369TV//nwlJSWpTZs2uvfeez32ft4qXHDxc8SKz5M5c+Zo/vz5ateunSpVquQoijxt2rRpGjdunB566CG98MILOQ4fz4szZ87oww8/1CeffKIqVapo+vTp+b42yZAhQ9S/f38tX75cCQkJGjZsmOLi4mQYRp5PE7zU1a5zlH29pryw8u/jjh079Prrr1/2+fvuu0+zZs3KU7YVf47SxW9wPvnkE9WvXz/X52fOnKm77rorz/mbNm1SQkKCVqxYoczMTDVr1kw9e/bM02k42bKLMeniHcw2bdrkKNEWLlyoCxcuqGLFinm6c9C//vUv/etf/9L69euVkJCgxx57TLfffrsMw8j33ZvdOc02JCREjRs3djn76NGjVzx9IDw8XMeOHXN92EvceeedWrt2rapVq5br82vWrMnzqQsLFy5U2bJlFRUV5fHTUaz6OmKz2ZSamqqCBQs6fnBJTU11XADZ1QshX87Zs2c1evRoffbZZ3rhhRfUo0cPj/xb4A116tTR/Pnz9dJLL6l9+/ZuneqZm0KFCun06dOXLWxTUlJy/SH7apo0aaLU1FQ99dRTat26taSL12Qyy8sPTBkZGU4zBQcHe/w/lV5++WWPn9ps5de+pKQklStX7rLPlytXTsePH89TdsmSJXXw4EGVKVNGGRkZ2rZtm1555RXH86mpqY5Tl9z1v//9z+nr5p49e5SWlua0T15/qLZi7kcffVRt27ZV3759dcMNN0i6eCH8KVOmaN68eRoxYoRWrVrl8mn/l3LlGqGpqalu52Y7cOCAqlatetnnq1WrpgMHDridO3nyZE2cOFGtW7e25ML6e/bsUcuWLVWvXr18X6rFbPz48Zb8h7SV36teek1swzDUrVs3DR061KPXay5YsKDatGmjNm3a6MCBAxowYICee+45rVu3Lk+nkg8fPtzx+7CwMBmGoSpVqjhdg1vyzCm82dLS0rRx40atX79eycnJuuOOO9x6/aX/Xr3++uvq06ePGjdurEaNGjk956nS77ouzcaNG6fPPvtMsbGx2rRpk3r27Kl27dpp8+bN6tevn5o3b56nb9Ks/AEs+5tTK8THxysxMVEJCQkaNGiQzp07pxYtWkjKf1lnReFiVTnkDZd+cZKk8+fPa9KkSTm+AczLFyfDMJyue5eRkaFBgwY5LpJ46fXO3FGzZk3VrFlT/fr1cxRFI0aMUFZWltasWXPZ6/i56sCBA+rTp4/27dun0aNHu/XD8pVMmTJFU6dOVcmSJTVmzBiP5WbfXfL/2rvToKiutA/gf41RC01eqWiCohJ1TNCog0lYREQUFRVQCTigCWoBbuPouKCjqIjbBD+gDkgmM6LRmCgZ2USCG+KGEjYX4gJmVGRxXJAADottgPcD1T10Qyt9+542Hf+/qlRKWg8Nfe655zzn3Ofx8PCAh4cHCgoKEBsbi6tXr2LatGlwcnKCi4sLxo0bJ6n9zp07P7d/v/HGG1oD8y8iMgBaUVHx3NOfb731lqTFh6jPEWhcKHl7e2PRokUICAhQ3bhv376NqKgopKWlSTqFt3PnTsTFxeHOnTsYPHgwVqxYAVdXV9knrB06dMCwYcPw0UcfwdbWFmfPnsV3332H27dv69WujY0NbGxssHbtWiQlJSE2Nha+vr4YMmQIXFxcJOVia+lzu337NsLCwnDq1Cm4u7urLZp0YWpqiuLiYq0JjouLiyVPvj09PREaGor+/fs3yyuVmpqKL7/8EitXrpTU9rRp0/D999+juLgYn3zyCSZNmqR3/iSlFwUVpI4jDQ0NaicAGhoa1HJ16jNXuXjxouoeduDAgRYDlVVVVaoFsa6a5kKtq6tDXFyc6jSNPgvepnr06IEDBw4gKCgIc+fO1astKysrHDhwQGse3G+//RZWVlY6t/v48WMAQFRUFHbt2qUWsJXjdPf27dtV8w455zhKrq6uwp400Bz7YmJi8Nlnn+H3v/+95LHv6dOnzw0AtWvXDs+ePZP0fh0dHREWFobAwECkpKSgY8eOauuM/Px8yTkwZ82apdY3NPuzPn1ExPuOjIzEyJEjW3xt6tSpsLe3x5o1ayS9X21jpbKIUkxMDK5evSr591FVVfXc+UGnTp2aBSxbY+/evQgPD9e5emVrnTx5EnFxcQgJCUFtbS3c3Nzg7u4uyxrtww8/FHKdi5qrAmiWO69t27awsrKSPQ/t/fv3ERcXh/j4eNTU1MDf31/y/FKziJaVlZWqCraSXGvu7OxsxMbG4tixY2hoaMD48eMRGBioc2yk6clP5f+PHj2qalf5nuU6lf5KV890dnZGUFAQnJ2dcfPmTUyaNAkeHh7461//qlfHuH79Ory9vTFq1KgWF2CnT59GdHT0c3cTtElPT0dwcDDi4+NbrMzp4+OD9evXy3L64sKFC4iNjcWJEyfQvXt3uLi4wMXFRdL7VqqurlaV7/7xxx9RV1eHlStXwtPTU+cL3dLSEgMHDoSPjw8mTpwo+0JUc6fc0dER+/fvb7ZTKOX7+vr6vvDvtGnTptUVPJtauXJlq/qvZuDuRYqKipoN+Ldv30ZMTAwSExNRWVkJe3t7fPnllzq1qzR06FA4ODhg/fr1slaHtbS0RMeOHVWl0rXRtXiGpaUlBg8ejKlTp8LV1VW1gKuvr8fp06cRExODs2fP6nzU2JDkvB6VBgwYgPPnz2v9DKVWkhP1OSqdOnUKQUFBKC8vV32toaEBpqam2LRpk85VlIHGiZOHhwc8PT1lfaRFSaFQ4MqVK8jIyEBGRgZyc3NhZmYGa2trfPzxx7CxsdF6OkWqmzdvIiYmBocPH0Z6erpebWk+Zrt06VK9fk+rVq1CUVERdu/e3axYjkKhgL+/P3r27Knz2KcUGBiIpKQk9O3bV+2+XlBQgAkTJmDr1q2S37tCocDx48cRGxuLS5cuYeTIkfDy8oKDg4Ne85GioiKYm5vLlkhfqbWPvUlJvD1o0CD4+vpiyZIlLRY9+u9//4uAgABJgezWVJ0FGgOhreXr64vIyEitlVmjoqIQFhYmeeJ+8eJFzJgxA87OzvD391dLDr57925VVVddFxwlJSWt+ntSgqoi5ziA+Kp6LdF37LO0tMTixYu1PqJaVVWF8PBwSf2krKwMCxcuRE5ODkxMTLBlyxa1xOszZ87EgAEDdA7st6aPVFVVSR63Nd93aGio2kbjzJkzYWVlhSVLlrS6zR07dsDf379ZNT0R5K4iP2DAABw7duy586cJEyZImj/16NFDdULdzs5OWPXM9PR01drx6dOn8PPzw9SpU3U+RQQ0vu/z588Luc5FzVVbMnToUCQmJsoSNFMoFEhJSVEVInN0dISnpyccHR1lPY1dVlYGALKtxx4+fIiEhATExcWhoKAAVlZW8PT0xMSJEyVvgIkenzS90kGzQYMG4eTJk6rjkkOGDMHBgwfx/vvv6922iAUYAMyfPx+2trZaqyR9/fXXyMjIQGRkpM5t19XVYdeuXUhNTcWzZ88wbNgw/OlPf8LTp0+RmJiI2NhY5Ofnyxax1TfgohmpHjduHKZOnSpLwBBonntHc+dcjhxbSnIPTiI0vena2dnBzs5Ode3U1dXh1KlTiImJkRw0O3TokGwVM5sSFURsTf97/Pix5Jv9ix6rAhoXHREREZLa1yRXANTS0hKOjo5aK/wqFAqcO3dO5+tG1OfYVG1tLc6dO4e7d++ioaEBffr0gYODg+Ty9JrXjK2trWwT1RkzZiA3Nxc9e/ZUBcmsra3x9ttv6912eno6Nm7ciH/9618tbs54e3tjzZo1z82z9Dyaj9kGBgbKMm7fv38fnp6eaN++PaZPn64KLty+fRv79++HQqFAbGwsunfvLvl7JCcn4/DhwygsLERDQwPeffdduLm5yfqoeklJCeLj45GQkIC6ujokJSVJnlRqBhcWL16MNWvWSM53ZwiWlpYIDQ1tMZdMdXU1/Pz8UF5ejqNHjxr+zelAefrk4MGDuHbtml5zhRMnTqhyzTT15ptvYsOGDc/N+6ONIYMLcs9xLC0tceHCBdnnTLW1tUhPT1edyAkLC1M7nd+2bVssWLBA0qaSiICt0p49ezBr1iw8efIEJiYmzRbP9+7dw9KlS2XJWwrId7JKSdv7Li8vR6dOnXR6RFN0QLWlKvLR0dE4dOiQ3o8mvijnp9R1R2ZmJjIyMpCZmYkrV67ImgNVmydPnqjWjtevX0f//v1x+PBhndoYPXo04uLiZDt53ZSouWpL5Aya2draolOnTpgyZQomT56stZ9LGaMqKyuxbds2JCcnq1I3vPnmm3B1dcXixYu1bgy1xsCBA9GlSxdMnjwZXl5e6Nevn+S2XkTu8UnplQ6aaUaZ5ezUQOPNNy0tDQUFBaoF2PDhw/WaoDg5OWHXrl1aO9utW7fg7++P06dP69x2ZGQkduzYAXt7e3To0AFpaWlwdXVVW4Reu3ZNr5NmLVEGXGJjY/H3v/9d539fXV2NI0eOID4+HtnZ2bCwsICnpyc8PDzQrVs3ye8rIyOjVYt0qSWsRQ1OopJKK2+4Ld107ezsYGNjo9dNV5cE4b8movpfax9b0SdI1BJ9r0dDBLfkdunSJZSXl6s9uhAfH4+IiAjU1NRgzJgxWLt2rdbJlTYiJ6offPABunXrhjFjxsDGxgbW1taqR8z0pUyOK2JzpuljtkuWLJH1MVug8WTV+vXrcf78ebXj+fb29ggODoaFhYWs308EZZqE+Ph4PHv2DEeOHJEcNNPcqZdrniNyvD569ChWrFiBbdu2qW0wVldXw9/fH2VlZdi3b5/kAHF9fT3i4uJw4sQJlJSUoE2bNujZsydcXFwwefJkvR9Bkfv0iVJNTY1qTglA7zml6OCCyAWYqPvjgQMHcObMGdWG0dChQ9G/f39VfrY7d+4gICBA69j4sgwZMgQbNmzQGmj29/fHzz//rHegWe6+LeJzFHk6qWkRJXd3d1URpQ8++ECWoJnIE7xKmjlQc3Nz9cqB2hrZ2dmIi4vTed1hbW3d4njcuXNn9OnTB35+fpIT3xtyripnfKFpfq6W3r/UwGp5eTm8vb3x8OFDuLu7qwoC3rp1C0lJSTAzM0N0dLTkFBfHjx+Hs7Oz0Nykou69Sq900Ewzynzq1CnY2dk1m4BIedynpUmZubk5xo8fr9ekbPDgwUhKStI68b979y7c3d2Rm5urc9vjxo2Dn58ffHx8ADQ+njlnzhzk5ubq/WiHoQIAyiochw4dQmlpKRwcHCSffBJJ5OCkPN3yoqTSUha8SiJuuikpKVpfa5og/Mcff9SpXUNWpjOW/teaU2yA9EcdRRB58i4gIAA2NjaYM2cOgMY8Kp6enpgyZQr69euHXbt2wdvbu1kFP13Ifc00TaCakZGBGzduoE+fPrC2tlbl45F6CmPUqFGIiooSsjkj+jFbpYqKCty9excA0Lt3b713qkUH9Zs+npmTkwMnJyd4enpixIgRet1/RQXNRI3XSgcPHsTmzZvxj3/8A7a2tqiurkZAQABKS0uxb98+yQmVGxoaMHfuXJw9exaWlpZqjzrevHkTo0ePxhdffKFzuyJPn7zo5KfUtBwigwuiF2Ci5jnTp09HQECA6lSY5vVy6NAh7N+/H999953O77mlzZmEhASEh4frtTkDNAaaly9fju3bt2sNNH/99deSrhvRJ6vk/hxFnUIEGk/LtFRESa6gmSEpFApcvHhRlQO1urpaWEXivLw8eHh46Ny+ZhJ6pcrKSly7dg3JyckIDw9v9SlOQ9Gcr8oZXxAVWN28eTN++OEHfPXVV802cx89egQ/Pz8MGzZMUvVxQNwcSuT4pOmVLgTQNGktAEyaNEmWdhsaGjB//nycOXMGlpaWeO+991STspUrV+L48eOSJmVAYwWYn376SWvQLD8/X/Lplnv37qklz7S3t0ebNm3w8OFDvR8pak11MDkSDFpYWGDu3Lno0aMHtm7dijNnzkhuS+QiKTIyEu3bt8eJEyeaDU6LFi2Cn58fIiMjJQ1OIpNKK4lIPC4qQbjIynSa5Ox/IsldcawpUUFKke85Ly8Pf/7zn1V/Tk5OxuDBg7Fp0yYAgJmZGSIiIvQKmsl9zZiYmMDR0RGOjo4AGo+j5+TkICMjA1FRUQgMDMS7776LpKQkndsuLS1Fu3bapwft2rVTPW6lK2XiVhFEbs7oUvVTVyEhIUhOToaZmRk8PT0RFhYm24JPVMEckQUdgMaE3eXl5fjjH/+IL774AuHh4Xj48CG++eYbvSqQxcXFITs7G3v27IGdnZ3aa+np6ViwYAESEhJaPLGjTdPTJ0FBQarTJ3I9Crd371784Q9/aPFxmzfeeAPe3t746quvJD3iLOpaFDnHAcTNcwoLC9Xy33To0EHtd6Q80SXFjh07YGtrqwqa5efnY/Xq1fDw8FBtzrz99tuS7jPjx4/HkydPsGzZsmaB5sePH0sONIvu26I+RxcXlxf27dYGH5oSXUVe5LrjeTlQ165dq9fpNVE01+maBgwYgH/+85+SgmYiN2I156tyxRcA/U4ZPs/Jkyexfv36Fp9+6NatG5YvX46QkBDJY7aIOZTo8UnTKx00E/V4UFxcHLKysmSdlCmNHDkSf/vb3zBixIhmJcZra2sREREhuTpKXV1dszb1qebTlCECOVlZWaocU23btsWECRPg5eUluT2RiySRg9O6deuwatUq1amFrVu3ypZU2lA3Xc0E4QkJCZITORqi7wHy9z+RRD4aKSpIKfI9V1RUqF2LmZmZqmAU0HjC9z//+Y+ktg11zZiYmKBLly7o0qUL/u///g/t2rXDrVu3JLUlcnMmNDRU0r9rDZEBcpFBoujoaPTo0QO9evVCVlYWsrKyWvx7UnalX1RNWZ+2leQcr5uaPXs2KioqMGvWLJibm2Pfvn16b+B9//33qsePNQ0bNgxz5szB4cOHdZqfnT17tsXTJ3LJz8/H8uXLtb4+fPhw7N69W1LbooILohdgouY5lZWVajnMfvjhB7XX6+vrJVcgz8/Px+LFi1V/Tk5OxpAhQ2TbnBERaBbdt0V9jgsXLhSy0aasIh8UFKQqoiRnFXlR6w7NHKg+Pj4ICwuTJQfqy+Tk5CQpjQggdiNW5HxVVGD14cOH6N+/v9bX33vvPTx69EinNpsSMYcSPT5peqWDZqKImJQpzZ8/H8ePH4eLiws+/fRTtQpe+/fvR11dHebNmyfpfWtOroGWJ9hSJteibowPHjxAfHw84uPjcffuXQwdOhRr1qzBhAkTtFYoai2RiyTRg1P79u3h5uYGNzc3VVLp9evX65VU2hA3Xc0E4Xv27NE7QbjIIKLI/mesDBWklFPXrl1RXFyM7t27Q6FQ4Pr162rXdlVVlU6JiJVEXjP19fW4evWqKhh38eJF1NTU4J133oGtrS2Cg4Nha2srqW2RmzMiGarvyR0kEnn6TtSJekDMeA00PwHQrl07mJqaYvPmzWpflzIXeVEAytHREfv27dOpTdGnT0Se/BQVXBA9xwHEzHPMzMzw008/qR4n1ZSfny85cCtyc0ZJ7kCz6L4NiPkcXV1dhVZWNTExgZeXF7y8vFRFlHbu3ImwsDC9qsiLWnfk5OSgW7duqvzDcuZAfZkUCoWkuRnw68qrqwtRgVVTU1MUFxdrHS+Ki4slP06vSa45lCHGp6YYNBNAxKRMqWvXroiOjkZISAi2bt2qlujYwcEBwcHBkhNLt3QMVs4Jttw3xoCAAKSnp8PU1BSTJ0+Gp6en1omOvuReJBlycFLmw2loaEBdXZ3kdkTfdJsmCA8LC5M1QbiISZkh+58xERmkFMXR0RFhYWEIDAxESkoKOnbsiI8++kj1en5+vqQcUCKvmY8//hg1NTXo2rUrbG1tsWrVKtja2qJ37956ty1yc0Yk0X1PVJBI5Ok7UQsDkeO1ZhDHzc1NtrYrKiqeu5h+6623mlWofBHRp09EnvwUFVww5BwHkG+e4+joiPDwcDg5ObW4YRAZGamWxkQXojZnAHGBZtF9W5Mcn6Oh5xh9+/bFihUrsGzZMlUVeTnIue7IyspS5UDduXMnli5dKlsOVODFjzoqC4HILSYmRi0x/qtAVGDVwcEB27dvx+7du5vlVVQoFKqNVH3IPYcy9Pj0ShcCEGXQoEFITU3VeprgwYMHcHZ2xtWrV/X6Pk0THVtYWMg6ARFNjupg8+bNg5eXF0aNGiWsGofmBR4YGCjLImnVqlUoKirSOjj5+/ujZ8+ekhc8IpJKi0w8DhguQbhclekM0f9+C5RByoSEBL2ClCKVlZVh4cKFyMnJgYmJCbZs2YKxY8eqXp85cyasrKywZMkSndoVec1ER0fD1tZWFdCSW0lJCUJCQpCWltbi5oxcVaZFkrPvia76aWwMNV7LTbNquqbS0lKMGDFC74TYytMniYmJqKys1Ov0ycaNG5GZmYmYmJgWAzlTp06Fra0t1qxZo1O7Iqtnip7jKNuRe55TWlqKKVOm4PXXX8enn36qeuTnzp07+Pbbb/HLL78gISFB0ub0unXrkJ+fr9qciY+Px7lz51S/n8TEROzduxexsbE6t23Iatty9m1A/s9RZIELQxC17miqaQ7UzMxM5OXlSc6BCojrf9r+/pMnT3D9+nUUFBTgm2++waBBg3Rq97dCM7C6dOlSyYHV+/fvw9PTE+3bt8f06dNVRXKUm6UKhQKxsbHo3r27pPYNNYeSe3xqikEzAQw1KTM2oqqDiSLyAhc5OGkmlXZ3dxdSRUjum67I8s/G1vd+S+QKUhrCkydPYGJi0iwIUF5eDhMTE0lVzZqS+5oxhFd9c0bJWINEoogcr0XSrJquSaFQ4Ny5c7LNz+rq6lSnT6RO3EtLS+Hh4YHXXntN68nP+Ph4nQM5IoMLohdgIuc5RUVFCAkJwYULF9Q2DOzt7RESEiJ5w0DU5szLIkffNtR81VgYKrCgrGysTO+Qk5ODp0+f/urWpb6+vi1+vXPnzujTpw+mTZtmFBt4chMVWC0qKsL69etx/vz5ZmNfcHCw1tPOrWHoOZQc45MmBs0EMPSkzBgY441R9AUuanBSlvAeMGDAcxc1+g5MxnLTNca+Z+wYpGyZsVwzxkxU3zPWIBGpM+SJHDkZ48lP0Qsw0fOc8vJyFBYWAgB69+4tW35E0ZszxsRQ81VjIWrd8aIcqMr/zM3N9f0RSDBDBFabbpbKNfb9FuZQDJoJYKyTMpGM8cZoqAtc7sFJ1Ps21puuMfY9Y8Yg5f8Y6zVjrNj36LfOGE9+cgFG2vBzVCfq9/Hhhx+q5UBV/idHDlQyLJ56f3kYNCOD4I3R+BnrTZd9z7AYpPwfY71mjBX7HhERkTrROVDJcLimeXkYNCOiVuFNl1qDN/T/4TVjWOx7RERERCQ3Bs2IiIiIiIiIiIg0vLoZmYmIiIiIiIiIiLRg0IyIiIiIiIiIiEgDg2ZEREREREREREQaGDQjIiIiIiIiIiLSwKAZERERERERERGRBgbNiIiIiIxEWVkZ1q1bBycnJwwaNAjDhw+Hv78/cnJyAADvv/8+UlJSdG539OjR2LNnj8zvloiIiMi4tXvZb4CIiIiIWmfhwoV49uwZQkND0atXLzx+/Bjp6ekoLy9/2W+NiIiI6DenTUNDQ8PLfhNERERE9HyVlZWwtrbGvn37YGNj0+z10aNHo6SkRPVnc3NzpKamorCwEJ9//jmuXLmCmpoa9O3bF8uWLYO9vT0AwNfXF5mZmWpt5efnAwCys7OxdetWXL16Faamphg7diyWLl0KExMTgT8pERER0a8DH88kIiIiMgImJiYwMTFBSkoKFApFs9djYmIAAJ9//jnS0tJUf66ursbIkSOxZ88exMfHY8SIEZg3bx7u3bsHAIiIiICZmRkWLVqEtLQ0pKWlAQAKCwsxe/ZsjBs3DomJidi2bRtycnKwceNGA/3ERERERC8XT5oRERERGYljx45h7dq1qK2txcCBA2FjY4OJEyfC0tISQGNOs8jISIwZM+a57bi5ucHHxwefffYZgMZTajNmzMCsWbNUf2f16tV47bXXsGHDBtXXsrOz4evri8uXL6NDhw7y/4BEREREvyLMaUZERERkJFxcXODk5ITs7GxcvnwZ586dQ1RUFDZt2oRPPvmkxX9TVVWFHTt24PTp03j06BHq6upQW1urOmmmTV5eHvLz83H48GHV1xoaGlBfX4/i4mL069dP1p+NiIiI6NeGQTMiIiIiI9KhQwcMHz4cw4cPx4IFC7B69WpERERoDZpt2bIFFy5cwF/+8hf07t0bHTt2xKJFi/Ds2bPnfp/q6mr4+PjA19e32Wvdu3eX5WchIiIi+jVj0IyIiIjIiP3ud79DSkoKAOD1119HXV2d2uuXLl2Ch4cHxo4dC6Dx5FnTggHKf1dfX6/2tYEDB+Lf//43LCwsBL57IiIiol8vFgIgIiIiMgI///wzZsyYgUOHDiEvLw9FRUU4cuQIoqKi4OzsDKCxYmZ6ejoePXqEiooKAICFhQVOnDiBGzduIC8vD8uWLWsWIDM3N0dWVhYePHiAsrIyAMDs2bNx6dIlbNiwATdu3EBBQQFSUlLUcpwRERER/ZaxEAARERGREVAoFIiIiMD58+dRWFiIX375BWZmZhg/fjzmzZuHjh07IjU1FaGhoSgpKcE777yD1NRUFBcXIygoCFeuXIGpqSlmz56No0ePwtLSEqtXrwYAXL58GcHBwbhz5w4UCgXy8/MBALm5udi+fTsuXboEAOjVqxcmTpyIefPmvbTfAxEREZGhMGhGRERERERERESkgY9nEhERERERERERaWDQjIiIiIiIiIiISAODZkRERERERERERBoYNCMiIiIiIiIiItLAoBkREREREREREZEGBs2IiIiIiIiIiIg0MGhGRERERERERESkgUEzIiIiIiIiIiIiDQyaERERERERERERaWDQjIiIiIiIiIiISAODZkRERERERERERBr+HwPDLF6z416vAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question8\n",
        "# How does the acceptance rate relate to the average sat score?\n",
        "usnewsdf=usnewsdf.dropna()\n",
        "# Calculate acceptance rate\n",
        "usnewsdf['Acceptance Rate'] = usnewsdf['Number of applicants accepted'] / usnewsdf['Number of applications received']\n",
        "\n",
        "# Scatter plot of acceptance rate vs average SAT score\n",
        "plt.scatter(usnewsdf['Acceptance Rate'], usnewsdf['Average Combined SAT score'])\n",
        "plt.xlabel('Acceptance Rate')\n",
        "plt.ylabel('Average SAT Score')\n",
        "plt.show()\n",
        "\n",
        "corr1 = np.corrcoef(usnewsdf['Acceptance Rate'], usnewsdf['Average Combined SAT score'])[0, 1]\n",
        "\n",
        "print(corr1)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "NtXC0bUZhVGG",
        "outputId": "6f38b441-4d7f-4de4-ef7c-154823020af5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-0.5005231715811069\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question9\n",
        "#  which type of institutes( public or private) have higher acceptance rates?\n",
        "acceptance_by_type = usnewsdf.groupby('Public/private indicator (public=1, private=2)')['Number of applicants accepted', 'Number of applications received'].sum()\n",
        "acceptance_by_type['Acceptance Rate'] = acceptance_by_type['Number of applicants accepted'] / acceptance_by_type['Number of applications received']\n",
        "acceptance_by_type = acceptance_by_type.reset_index()\n",
        "\n",
        "plt.bar(acceptance_by_type['Public/private indicator (public=1, private=2)'], acceptance_by_type['Acceptance Rate'])\n",
        "plt.xticks([1, 2], ['Public', 'Private'])\n",
        "plt.title('Mean Acceptance Rate by Institute Type')\n",
        "plt.xlabel('Institute Type')\n",
        "plt.ylabel('Mean Acceptance Rate')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "hFMqlJ-fZJzu",
        "outputId": "f43cd675-9f7e-4f74-fac9-6e87d68d47a4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-119-5b25a3fea050>:3: FutureWarning: Indexing with multiple keys (implicitly converted to a tuple of keys) will be deprecated, use a list instead.\n",
            "  acceptance_by_type = usnewsdf.groupby('Public/private indicator (public=1, private=2)')['Number of applicants accepted', 'Number of applications received'].sum()\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# question10\n",
        "# Do colleges with higher percentages of faculty with Ph.D.s have higher graduation rates?\n",
        "# Subset the data to only include relevant columns\n",
        "usnewsdf = usnewsdf[['Pct. of faculty with Ph.D.s', 'Graduation rate']]\n",
        "\n",
        "# Drop rows with missing values\n",
        "usnewsdf = usnewsdf.dropna()\n",
        "\n",
        "# Calculate the correlation between percentage of faculty with Ph.D.s and graduation rate\n",
        "corr = usnewsdf['Pct. of faculty with Ph.D.s'].corr(usnewsdf['Graduation rate'])\n",
        "\n",
        "# Plot the relationship between percentage of faculty with Ph.D.s and graduation rate\n",
        "sns.regplot(x='Pct. of faculty with Ph.D.s', y='Graduation rate', data=usnewsdf)\n",
        "\n",
        "plt.title('Relationship between Percentage of Faculty with Ph.D.s and Graduation Rate')\n",
        "plt.xlabel('Percentage of Faculty with Ph.D.s')\n",
        "plt.ylabel('Graduation Rate')\n",
        "plt.show()\n",
        "\n",
        "print('Correlation coefficient:', corr)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489
        },
        "id": "EL3Gm91tkiq5",
        "outputId": "d684b265-257e-46d5-ede1-a01cb2a5bd35"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Correlation coefficient: 0.2981182294339352\n"
          ]
        }
      ]
    }
  ]
}