testing_matplotlib_and_more.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "testing-matplotlib-and-more.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "otK15bVYtbKx",
        "colab_type": "text"
      },
      "source": [
        "# Top"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HW3kxWlvKnK0",
        "colab_type": "text"
      },
      "source": [
        "Here are our first approaches with graphics"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PTwL3wtbLNs-",
        "colab_type": "text"
      },
      "source": [
        "**Import + dataset**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Li6LzJ17_GfC",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 609
        },
        "outputId": "4f0ba987-cdb5-49f7-e436-9426c9ce79bc"
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import pylab\n",
        "import seaborn as sns\n",
        "sns.set()\n",
        "\n",
        "DATASET_URL = \"https://raw.githubusercontent.com/kaiyungtan/challenge-data-analysis/master/data/clean/belgium_real_estate.csv\"\n",
        "\n",
        "df = pd.DataFrame(pd.read_csv(DATASET_URL, index_col=0))\n",
        "df\n",
        "\n"
      ],
      "execution_count": 44,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>postal_code</th>\n",
              "      <th>city_name</th>\n",
              "      <th>type_of_property</th>\n",
              "      <th>price</th>\n",
              "      <th>number_of_rooms</th>\n",
              "      <th>house_area</th>\n",
              "      <th>fully_equipped_kitchen</th>\n",
              "      <th>open_fire</th>\n",
              "      <th>terrace</th>\n",
              "      <th>garden</th>\n",
              "      <th>surface_of_the_land</th>\n",
              "      <th>number_of_facades</th>\n",
              "      <th>swimming_pool</th>\n",
              "      <th>state_of_the_building</th>\n",
              "      <th>lattitude</th>\n",
              "      <th>longitude</th>\n",
              "      <th>province</th>\n",
              "      <th>region</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
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              "      <td>1050</td>\n",
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              "      <td>4.381571</td>\n",
              "      <td>50.822285</td>\n",
              "      <td>Bruxelles-Capitale</td>\n",
              "      <td>Bruxelles</td>\n",
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              "    <tr>\n",
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              "      <td>1050</td>\n",
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              "      <td>0</td>\n",
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              "      <td>0</td>\n",
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              "      <td>2</td>\n",
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              "      <td>to renovate</td>\n",
              "      <td>4.381571</td>\n",
              "      <td>50.822285</td>\n",
              "      <td>Bruxelles-Capitale</td>\n",
              "      <td>Bruxelles</td>\n",
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              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1050</td>\n",
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              "      <td>2</td>\n",
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              "      <td>4.381571</td>\n",
              "      <td>50.822285</td>\n",
              "      <td>Bruxelles-Capitale</td>\n",
              "      <td>Bruxelles</td>\n",
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              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>1050</td>\n",
              "      <td>Ixelles</td>\n",
              "      <td>0</td>\n",
              "      <td>599000</td>\n",
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              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>130</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>good</td>\n",
              "      <td>4.381571</td>\n",
              "      <td>50.822285</td>\n",
              "      <td>Bruxelles-Capitale</td>\n",
              "      <td>Bruxelles</td>\n",
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              "      <td>1050</td>\n",
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              "      <td>0</td>\n",
              "      <td>575000</td>\n",
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              "      <td>4.381571</td>\n",
              "      <td>50.822285</td>\n",
              "      <td>Bruxelles-Capitale</td>\n",
              "      <td>Bruxelles</td>\n",
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              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "    <tr>\n",
              "      <th>40390</th>\n",
              "      <td>1472</td>\n",
              "      <td>Vieux-Genappe</td>\n",
              "      <td>0</td>\n",
              "      <td>475000</td>\n",
              "      <td>5</td>\n",
              "      <td>216</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1550</td>\n",
              "      <td>4</td>\n",
              "      <td>1</td>\n",
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              "      <td>4.401503</td>\n",
              "      <td>50.629025</td>\n",
              "      <td>Brabant wallon</td>\n",
              "      <td>Wallonie</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40391</th>\n",
              "      <td>1472</td>\n",
              "      <td>Vieux-Genappe</td>\n",
              "      <td>0</td>\n",
              "      <td>475000</td>\n",
              "      <td>5</td>\n",
              "      <td>215</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1550</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>good</td>\n",
              "      <td>4.401503</td>\n",
              "      <td>50.629025</td>\n",
              "      <td>Brabant wallon</td>\n",
              "      <td>Wallonie</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40392</th>\n",
              "      <td>1461</td>\n",
              "      <td>Haut-Ittre</td>\n",
              "      <td>0</td>\n",
              "      <td>499000</td>\n",
              "      <td>5</td>\n",
              "      <td>275</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1561</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>unknown</td>\n",
              "      <td>4.296472</td>\n",
              "      <td>50.648804</td>\n",
              "      <td>Brabant wallon</td>\n",
              "      <td>Wallonie</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40393</th>\n",
              "      <td>1761</td>\n",
              "      <td>Borchtlombeek</td>\n",
              "      <td>0</td>\n",
              "      <td>495000</td>\n",
              "      <td>4</td>\n",
              "      <td>235</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>488</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>unknown</td>\n",
              "      <td>4.136915</td>\n",
              "      <td>50.848178</td>\n",
              "      <td>Brabant flamand</td>\n",
              "      <td>Flandre</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40394</th>\n",
              "      <td>3381</td>\n",
              "      <td>Kapellen</td>\n",
              "      <td>0</td>\n",
              "      <td>485000</td>\n",
              "      <td>3</td>\n",
              "      <td>220</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1019</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>good</td>\n",
              "      <td>4.960878</td>\n",
              "      <td>50.887345</td>\n",
              "      <td>Brabant flamand</td>\n",
              "      <td>Flandre</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>40395 rows × 18 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "       postal_code      city_name  ...            province     region\n",
              "0             1050        Ixelles  ...  Bruxelles-Capitale  Bruxelles\n",
              "1             1050        Ixelles  ...  Bruxelles-Capitale  Bruxelles\n",
              "2             1050        Ixelles  ...  Bruxelles-Capitale  Bruxelles\n",
              "3             1050        Ixelles  ...  Bruxelles-Capitale  Bruxelles\n",
              "4             1050        Ixelles  ...  Bruxelles-Capitale  Bruxelles\n",
              "...            ...            ...  ...                 ...        ...\n",
              "40390         1472  Vieux-Genappe  ...      Brabant wallon   Wallonie\n",
              "40391         1472  Vieux-Genappe  ...      Brabant wallon   Wallonie\n",
              "40392         1461     Haut-Ittre  ...      Brabant wallon   Wallonie\n",
              "40393         1761  Borchtlombeek  ...     Brabant flamand    Flandre\n",
              "40394         3381       Kapellen  ...     Brabant flamand    Flandre\n",
              "\n",
              "[40395 rows x 18 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F336QGDIthpL",
        "colab_type": "text"
      },
      "source": [
        "# Basics"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Di9sZSoCLIGV",
        "colab_type": "text"
      },
      "source": [
        "**BASICS MATPLOTLIB**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ydpOp2laLGFG",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 628
        },
        "outputId": "c990ddc6-f9b4-4983-987b-0c9090d9914d"
      },
      "source": [
        "# Let's learning basics !\n",
        "# this video help us ( in french ! ) https://www.youtube.com/watch?v=O_OeWxpnUc0&ab_channel=MachineLearnia\n",
        "\n",
        "x = np.linspace(0,2,10)\n",
        "print(x)\n",
        "y = x ** 2\n",
        "\n",
        "plt.figure(figsize=(10,10))\n",
        "\n",
        "# param c = color, lw = linewidth, ls = style, label=name\n",
        "plt.plot(x,y , c=\"red\", lw=\"6\")\n",
        "plt.plot(x,y*2 , c=\"blue\", lw=\"4\")\n",
        "\n",
        "plt.show()\n",
        "# plt.scatter(x,y)"
      ],
      "execution_count": 45,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.         0.22222222 0.44444444 0.66666667 0.88888889 1.11111111\n",
            " 1.33333333 1.55555556 1.77777778 2.        ]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jJf-ZZqAk775",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "outputId": "d17b0e71-21bd-4126-db9e-a9e3840043e9"
      },
      "source": [
        "# evenly sampled time at 200ms intervals\n",
        "t = np.arange(0., 5., 0.2)\n",
        "\n",
        "# red dashes, blue squares and green triangles\n",
        "plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')\n",
        "plt.show()"
      ],
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "04xWhNPItmjZ",
        "colab_type": "text"
      },
      "source": [
        "# Visualisation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3kEUh61DK2Vh",
        "colab_type": "text"
      },
      "source": [
        "First test on data visualization"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9mtKGXmlvO4E",
        "colab_type": "text"
      },
      "source": [
        "## House area on price"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vcxpOuItGpQg",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "bdcaf4bf-e0fe-4307-a4f4-3969a8830d53"
      },
      "source": [
        "plt.figure(figsize=(12,14))\n",
        "\n",
        "plt.subplot(2,1,1)\n",
        "\n",
        "group_full = df.groupby('house_area')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "# print(group)\n",
        "\n",
        "x = group['house_area']\n",
        "y = group['price']\n",
        "plt.title(\"Moyenne de prix par la surface du batiment\")\n",
        "plt.xlabel('House Area (m²)')\n",
        "plt.ylabel('Price (€)');\n",
        "plt.scatter(x, y)\n",
        "\n",
        "\n",
        "plt.subplot(2,1,2)\n",
        "\n",
        "group_full = df.groupby('house_area')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "group = group[group['house_area'] > 0]\n",
        "group = group[group['house_area'] < 500]\n",
        "\n",
        "print(group)\n",
        "\n",
        "x = group['house_area']\n",
        "y = group['price']\n",
        "plt.title(\"Moyenne de prix par la surface du batiment\")\n",
        "plt.xlabel('House Area (m²)')\n",
        "plt.ylabel('Price (€)');\n",
        "\n",
        "# calc the trendline \n",
        "z = np.polyfit(x, y, 1) \n",
        "p = np.poly1d(z) \n",
        "\n",
        "# the line equation: \n",
        "print (\"y=%.6fx+(%.6f)\"%(z[0],z[1]) )\n",
        "\n",
        "plt.scatter(x, y)\n",
        "# plt.plot(group)\n",
        "plt.plot(x,p(x),\"r--\", lw=\"5\") \n",
        "\n",
        "\n"
      ],
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "     house_area          price\n",
            "0             5  241833.333333\n",
            "1            11  185000.000000\n",
            "2            13  154662.500000\n",
            "3            14  107000.000000\n",
            "4            15  163500.000000\n",
            "..          ...            ...\n",
            "480         494  743000.000000\n",
            "481         495  702333.333333\n",
            "482         496  765666.666667\n",
            "483         498  399000.000000\n",
            "484         499  600000.000000\n",
            "\n",
            "[485 rows x 2 columns]\n",
            "y=1023.468286x+(158237.845029)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f5385aae208>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x1008 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sxbFXMUrvXz7",
        "colab_type": "text"
      },
      "source": [
        "## Surface of the land on price"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zznm1arCyde5",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 878
        },
        "outputId": "2f8ca261-7530-4750-98cf-199c1695e000"
      },
      "source": [
        "plt.figure(figsize=(12,14))\n",
        "\n",
        "plt.subplot(2,1,1)\n",
        "group_full = df.groupby('surface_of_the_land')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "\n",
        "x = group['surface_of_the_land']\n",
        "y = group['price']\n",
        "plt.title(\"Moyenne de prix par la surface du terrain\")\n",
        "plt.xlabel('surface of the land (m²)')\n",
        "plt.ylabel('Price (€)');\n",
        "plt.scatter(x, y)\n",
        "\n",
        "\n",
        "plt.subplot(2,1,2)\n",
        "\n",
        "group_full = df.groupby('surface_of_the_land')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "group = group[group['surface_of_the_land'] > 0]\n",
        "group = group[group['surface_of_the_land'] < 1000]\n",
        "\n",
        "x = group['surface_of_the_land']\n",
        "y = group['price']\n",
        "plt.title(\"Moyenne de prix par la surface du terrain\")\n",
        "plt.xlabel('surface of the land (m²)')\n",
        "plt.ylabel('Price (€)');\n",
        "\n",
        "# calc the trendline \n",
        "z = np.polyfit(x, y, 1) \n",
        "p = np.poly1d(z) \n",
        "\n",
        "# the line equation: \n",
        "print (\"y=%.6fx+(%.6f)\"%(z[0],z[1]) )\n",
        "\n",
        "plt.scatter(x, y)\n",
        "# plt.plot(group)\n",
        "plt.plot(x,p(x),\"r--\", lw=\"5\") \n",
        "\n"
      ],
      "execution_count": 48,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "y=144.059447x+(246529.637070)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f53859f24e0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 48
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x1008 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8EZjd0BdItg2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 336
        },
        "outputId": "a34ce667-4ae4-48fb-e1e1-447dc2501c2d"
      },
      "source": [
        "plt.hist(x)\n",
        "# from 0 to 1000 m² the number of values is proportional\n"
      ],
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(array([ 94., 100., 100., 100.,  99., 100., 100., 100., 100.,  99.]),\n",
              " array([  1. , 100.8, 200.6, 300.4, 400.2, 500. , 599.8, 699.6, 799.4,\n",
              "        899.2, 999. ]),\n",
              " <a list of 10 Patch objects>)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 49
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GhI3iMcDvjVz",
        "colab_type": "text"
      },
      "source": [
        "## Region on price"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GvaJcwnemE_t",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 383
        },
        "outputId": "e5ab815c-2879-43f5-d719-fdeab3b2d730"
      },
      "source": [
        "group_full = df.groupby('region')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "\n",
        "print(group)\n",
        "\n",
        "h = group['price']\n",
        "abs = [1,2,3]\n",
        "width = 1.0\n",
        "\n",
        "BarName = ['Bruxelles','Flandre','Wallonie']\n",
        "pylab.xticks(abs, BarName, rotation=40)\n",
        "\n",
        "plt.bar(abs, h, width, color='b' )"
      ],
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "      region          price\n",
            "0  Bruxelles  390909.573775\n",
            "1    Flandre  331116.577045\n",
            "2   Wallonie  257946.837473\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<BarContainer object of 3 artists>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 50
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TB4BZgdev7U-",
        "colab_type": "text"
      },
      "source": [
        "## number of rooms on type of property"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wytk0Wo6woWf",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "90f1cae7-8e5a-4cec-ddc5-072152cce38d"
      },
      "source": [
        "plt.figure()\n",
        "\n",
        "x = df[df['number_of_rooms'] < 8]\n",
        "x = x['number_of_rooms']\n",
        "\n",
        "plt.title(\"Histogram number of rooms\")\n",
        "plt.xlabel('number_of_rooms')\n",
        "plt.ylabel('entries');\n",
        "\n",
        "# plt.hist(x)\n",
        "sns.countplot(x, hue=df['type_of_property'])"
      ],
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f53859ad7b8>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "z-Xgy7dHlG1p",
        "colab_type": "text"
      },
      "source": [
        "## other"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ebLdXZGoJqaF",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 315
        },
        "outputId": "bb5c0333-fd00-4bff-8f8e-57e6c3944039"
      },
      "source": [
        "# let's try seaborn !\n",
        "\n",
        "import seaborn as sns\n",
        "sns.set()\n",
        "group_full = df.groupby('surface_of_the_land')['price'].mean()\n",
        "group = group_full.reset_index()\n",
        "group = group[group['surface_of_the_land'] > 0]\n",
        "group = group[group['surface_of_the_land'] < 1000]\n",
        "\n",
        "x = group['surface_of_the_land']\n",
        "y = group['price']\n",
        "\n",
        "fig = plt.figure()\n",
        "fig.suptitle('Seaborn with Python', fontsize='x-large', fontweight='bold')\n",
        "fig.subplots_adjust(top=0.87)\n",
        "\n",
        "ax = fig.add_subplot(111)\n",
        "\n",
        "fontdict={'fontsize': 14,\n",
        "        'fontweight' : 'book',\n",
        "        'verticalalignment': 'baseline',\n",
        "        'horizontalalignment': 'center'}\n",
        "\n",
        "ax.set_title('Plotting Tutorial', fontdict=fontdict)\n",
        "\n",
        "plt.plot(x, y, 'go-', linewidth=1) #linewidth=1 to make it narrower\n",
        "plt.xlabel('x-area', fontsize=14)\n",
        "plt.ylabel('y-price', fontsize=14);"
      ],
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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OHev0NQhNEyKICC2Wfv36YdmyZaivr8fhw4exYMEC1NTUsCbnuguhHHSuIjMzk8m5VllZiREjRiAzM5PxQVnOeXI3er0e3t7eCA8PZ2339/dHz549MX/+fIfnDhGaPsQ0R2ix0B1jVFQURo0ahVGjRmH37t28+x86dAgTJkxAly5d0K9fPyxZsgR6vR6AWcPKyclBVlYWk6n56tWreOKJJwCAyThNryBqbZqbOnUqFi1ahPfffx+9e/dG3759sXTpUta8mVu3buH5559H165d8dBDD+Hbb7/FyJEjWWHolmi1WoSHhyM8PJzRxoKDg5ltffv2xc6dO1nHDB48mJVhHDBHp9GZp2nWr1+PIUOGIDExEUOGDLHx7cTFxSErKwsvvfQSunfvjg8++IBlmnvnnXeQn5+P4cOH4/z58xg1ahSGDh2KVatWeWzyMsFzEI2IQLiLj48P79IHJSUlePbZZ5Gamop33nkHV65cwYIFC6BUKjF37lzMnz8fly5dwn333Yd//vOfABrynk2fPh07duxAcHCwTZZyS7Zt24YnnngC69evR0FBAWbOnInOnTszPpI5c+bg5s2b+Oqrr+Dj44N33nnHZmVUV7Jp0yb07dsXGRkZePDBBxkN6qeffsKbb76J1157Df3798dvv/2GxYsXo1WrVixhtWLFCvzzn//EnDlzOM9vMpnQunVrLF++HKGhoTh+/DjS09Oh1WoxYcIEt7WL0PgggohAAHD8+HFs27YNffv25Sxfu3YtIiIisGjRIiiVSsTGxuLVV19Feno6ZsyYgcDAQKjVavj6+rLMT/Qk2dDQULvpj+6//37MmDEDgHlW/8aNG/HHH39g5MiRuHDhAn777Td88803TH69d955h9Xxuxq6voGBgaw2ff7550hNTWUSvd533304deoUVq1axarPX/7yF5ZAuXr1Kuv8arWaaS8A3HPPPcjPz8eOHTuIIGphEEFEaLHs27cPPXr0QH19Perr6/Hwww/j9ddf59y3sLAQ3bp1Y6WbSU5OhsFgwOXLlxEfH+90fehlEmgiIiJQWloKwJxIVqlUsvLMRUVFMWs6ycmFCxdsItySk5NtAh/E5MRbt24dNm7ciOvXr0On08FgMCA6Otql9SU0foggIrRYevbsiTfffBNeXl6IiIhweLKkq/LRWa8xpFAo3BpZx3V+R1ZltTyfJb6+voL7f//991iyZAnmzJmDHj16ICAgAFlZWazlIAgtAxKsQGix+Pr6ol27doiOjrYrhGJjY3Hs2DGWIz03NxdqtRr33nsvALOpiZ4TQ0Of11kHfPv27WEymXDq1ClmW3FxMW7cuOHwOUNDQ5mF6ABzMITlb8Bcf+u6t2/fnrUsBWC+F1LX4snNzUW3bt0wZcoUdO7cGe3atbO7Gi6heUIEEYEggrS0NNy4cQOLFi1CYWEhfv31V7z33nuYMmUKM/KPjo7GiRMncPXqVZSVlcFkMiE6OhoKhQK//vorysrKmGzfUmnfvj0GDBiAhQsX4ujRoygoKMBrr70GHx8fhzWyPn36ICsrCydOnEB+fj7mzp3LrOVDEx0djT/++AM3b95k1vN55plnkJ2djaysLFy6dAlr1qzBtm3b8Mwzz0i6fkxMDE6dOoW9e/fi0qVL+Oijj5jkp4SWBRFEBIIIWrdujVWrVqGgoACjR4/GvHnzMGLECCZCDjCvpaRWqzFixAj07dsX169fR+vWrTF9+nQsX74c/fr1Yy2RLpV33nkHkZGRmDp1Kl544QWMGjUKYWFhDs+/mTNnDtq2bYsnnngCL7/8MiZMmMBkULfc5+DBg3jwwQeZCaePPPIIFixYgC+//BIjRozA6tWrsXDhQsmBE5MmTcKjjz6KmTNnYvz48bh27Rqz2i6hZUFyzREITZSysjI88MADeO+99zBs2DBPV4dAcBgSrEAgNBH++OMPVFdXIy4uDqWlpfjggw+g1WoxcOBAT1eNQHAKIogIhCZCfX09PvzwQ/z555/w8fFB9+7dkZWV5XBuPAKhsUBMcwQCgUDwKCRYgUAgEAgeRVZB9Msvv2DMmDEYPXo0UlNT8eOPPwIALl68iEmTJmHYsGGYNGkSLl26xBwjdxmBQCAQZIaSCZPJRPXs2ZM6c+YMRVEUVVBQQHXv3p0yGo3U1KlTqS1btlAURVFbtmyhpk6dyhwndxmBQCAQ5EU2HxFFUejTpw8+/vhjJCcn49ChQ1iwYAHWrl2LYcOG4eDBg1CpVDAajejduzd+/PFHUBQla5m9pJSWlJdXw2SSfuvCwgJQWlol+bimDGlzy4C0uWXgaJuVSgVCQvw5y2SLmlMoFFi+fDmmTZsGPz8/VFdXY+XKlSgqKkLr1q2ZFPMqlQoREREoKioCRVGylkkRRCYT5ZAgoo9taZA2twxIm1sGrm6zbIKovr4en332GaMR5ebm4pVXXsGyZcvkqoJLCQsLcPjY8HD3r87Z2CBtbhmQNrcMXN1m2QRRQUEBbty4geTkZADmtPG+vr7QaDQoKSmB0WhkTGU3btxAVFQUKIqStUwKpaVVDo0KwsMDcfPmHcnHNWVIm1sGpM0tA0fbrFQqeAfwskXNRUZGori4GBcuXABgXt+ltLQU7dq1Q0JCArZv3w4A2L59OxISEhAaGoqwsDBZywgEAoEgP7JOaM3OzsaqVauYbMEvv/wyHnnkERQWFmLu3Lm4ffs2goKCsHTpUrRv3x4AZC8TC9GIxEPa3DJobm3OKc5DduFOlOsqEKLRIjV2OFIik1j7NLc2i8EdGhHJrOAgRBCJh7S5ZdCc2pxTnIe1p7+FwdSwUKBaqUZa/DiWMGpObRZLkzbNEQgEQlMhu3AnSwgBgMFkQHbhTg/VqHlDBBGBQCBYUa6rkLSd4BxEEBEIBIIVIRqtpO0E5yCCiEAgEKxIjR0OtVLN2qZWqpEaO9xDNWrekPWICAQCwQo6IGHd6c3Qm/S8UXME10AEEYFAIHCQEpmE02XncLA4Fxn953m6Os0aYpojEAgEgkchgohAIBAIHoUIIgKBQCB4FCKICAQCgeBRiCAiEAgEgkchgohAIBAIHoUIIgKBQCB4FCKICAQCgeBRiCAiEAgEgkchgohAIBAIHoUIIgKBQCB4FCKICAQCgeBRZEt6evXqVbz44ovM7zt37qCqqgo5OTm4ePEi5s6di4qKCmi1WixduhQxMTEAIHsZgUAgEORFNo3onnvuwdatW5l/Dz/8MEaOHAkAWLhwIdLS0rBr1y6kpaUhPT2dOU7uMgKBQCDIi0dMc3q9Htu2bcO4ceNQWlqK/Px8RiiNHDkS+fn5KCsrk72MQCAQCPLjkfWI9uzZg9atW6Nz5844efIkWrduDZVKBQBQqVSIiIhAUVERKIqStSw0NNQDd4NAIBBaNh4RRN9++y3GjRvniUu7jLCwAIePDQ8PdGFNmgakzS2D5tZmjY+5ixRqV3Nrsxhc3WbZBVFJSQkOHTqEZcuWAQCioqJQUlICo9EIlUoFo9GIGzduICoqChRFyVomhdLSKphMlOT2h4cH4ubNO5KPa8qQNrcMmmObdXX1AMDbrubYZns42malUsE7gJfdR/Tdd99h0KBBCAkJAQCEhYUhISEB27dvBwBs374dCQkJCA0Nlb2MQCAQCPKjoChK+rDeCYYNG4b58+fjgQceYLYVFhZi7ty5uH37NoKCgrB06VK0b9/eI2ViIRqReEibWwbNsc2r87/BweJcfDR4GWd5Y21zTnEesgt3olxXgRCNFqmxw5ESmeSSc7tDI5JdEDUXiCASD2lzy6A5trkpCqKc4jysPf0tDCYDs02tVCMtfpxLhFGzMM0RCAQCwX1kF+5kCSEAMJgMyC7c6aEa2ccjUXMEAoEgBneamJor5boKSdsbA0QjIhAIjRLaxER3oOW6Cqw9/S1yivM8XLPGTYhGK2l7Y4AIIgKB0ChpiiamxkBq7HColWrWNrVSjdTY4R6qkX2IaY5AIDRKmqKJqTFAmy7Xnt4Eg6m+SZg0iUZEIBAaJU3RxNRYSIlMQlxIBwBARv95jVoIAUQQEQiERkpTNDE1JhQKT9dAPMQ0RyAQGiX0KP6r/PUA0CRMTATHIIKIQCA0WlIik/BV/no8fO8DeOz+kZ6uDsFNENMcgUAgEDwKEUQEAoHQLGk6TiIiiAgEAqFZ0nTSiBJBRCAQCASPQgQRgUAgNEuIaY5AIBBchqIJdaoE6ZDwbQKB0KQgGbmbH0QQEQiEJoP1om90Rm4AzVYYtQTBS0xzBAKhydDSMnI7sxRGUzJnEkFEIBCaDC0tI3dLEbyyCiKdToeFCxdi6NChGDVqFF5//XUAwMWLFzFp0iQMGzYMkyZNwqVLl5hj5C4jEAiNl5aWkdsZwUuReUTcvPvuu9BoNNi1axe2bduGGTNmAAAWLlyItLQ07Nq1C2lpaUhPT2eOkbuMQCA0XlpaRu6WInhlE0TV1dXYsmULZsyYAcXd/OStWrVCaWkp8vPzMXKkOaHhyJEjkZ+fj7KyMtnLCARC4yYlMglp8ePg6+UDwNwhp8WPa3bOexpnBG9T8hHJFjX3559/QqvVYsWKFTh48CD8/f0xY8YM+Pj4oHXr1lCpVAAAlUqFiIgIFBUVgaIoWctCQ0Pluh0EAsFBUiKTUFZXgW0XdiKj/zxPV8et0AL223PbUGWobrZRc7IJIqPRiD///BOdOnXCnDlzcOzYMTz//PP48MMP5aqCSwkLC3D42PDwQBfWpGlA2twycFeb/fy8WecOuKlx6/VoND5edq/j7jqMCB+E8JBg/Gv/Z/hszNuij/PW2K+7o7j6nLIJoqioKHh5eTEmsW7duiEkJAQ+Pj4oKSmB0WiESqWC0WjEjRs3EBUVBYqiZC2TQmlpFUwm6c7A8PBA3Lx5R/JxTRnS5paBO9tcW2Ngnbu6WgcAbr/Hurp6wevI9Zxv364VrAcXBp1w3R3F0TYrlQreAbxsPqLQ0FD07t0b+/fvB2COXCstLUVMTAwSEhKwfft2AMD27duRkJCA0NBQhIWFyVpGIBCaBk0nHowgBlkzKyxevBjz5s3D0qVL4eXlhWXLliEoKAiLFi3C3Llz8fHHHyMoKAhLly5ljpG7jEAgEAjyIqsgatu2LdasWWOzPTY2Fhs3buQ8Ru4yAoFAIMgLyTVHIBBkoSXkTCM4BhFEBALB7TSXZKXWwnRKj7GI90vwdLWaPCTXHIFAcDvO5kyzTVcjf7gCVwLSzw5liUpAShCGaEQEAsHtNNVkpbdqSgEAL+6ZDSUUMFkJQL1Rj+zCnU1Kq2uMEI2IQCC4HdfnTHN/+pqc4jxcvH2Z+W0thGjkEaYOtFfRdFL8EEFEIBDcTlNMVppduJNX+FiilEEoNh2R4hjENEcgENwObbr6Kn89AEiOmvNEAk+xmo4YYUUQhmhEBAJBFmih4+/lh4z+85z0q7i/8xdrNmxuSzJ4AqIREQiEZo8jc5hSY4djTf43ghqPt8q7UZsXmwpEIyIQCM0arrDrtae/tRt2nRKZhPuC2jG/QzRaDGzTh/X7uV6Pk4g5F0AEEYFAkBeZ3T3OzGFq5RfG/J3Rfx4mxz8GAIgOiEJG/3kY2C7FtZVtoRDTHIFAkBW5Aw+a6hwmS3NigNpf8vF8d7kxploigsgDNMYXgUBoroRotJxCpzEHGVinRKoyVDPbnekruFItfZW/HpvOZmN8x1SP9UNEEMnMvss5zSLnFoHQVEiNHc765oCmMYfJ2pxIb0+JTHJ4MMt33ur6Go/2Q8RHJDPrjm91KucWgUCQRkpkEtLix0GpMHd3IRot0uLHNeqBn5A50dHgC6HzAp7th4hGJDOlNWWc2xu7vZpAcATrkbunSIlMwvcXf8LN2lJk9J/n9Pnc7ecSMicKBV/YE65856XxVD9ENCKZCfPjXpK8MdurCQRH4Bq5A4DBaGsaamq4O9yCKyUSvd2Z4Au+89J4qh8igkhm/tp1dJPLuUUgOAKfP0LPsU0qVDPPqkObE2noqLmUyCSnEsimRCahT2QyZ5kn+yFZBdHgwYMxfPhwjB49GqNHj8a+ffsAAEePHkVqaiqGDRuGp59+GqWlpcwxcpe5m4HtUpqcvZpAcAS+Ebrt2kL2KaoqwYL9S54/H1sAACAASURBVPDintlYsH8Jrt657mz1Gj10nzCn58uYkjCB2S4+gayt3pZTnIcDxbk22/29/DzaD8muEf373//G1q1bsXXrVgwcOBAmkwmzZs1Ceno6du3ahZ49e+Jf//oXAMheJhf0qGZurxkuyLlFIDRO+EbojvhX8svPsEx8J0pPOVW3pgytLWlUGgDSBrN8WipFUR7thzxumjt58iQ0Gg169uwJAJg8eTJ27tzpkTJ5oUA1d/uCh8gpzmONnskKmp6Bzx/hLeCj4MNEmVi/jVa/xeCJDN7uIiUyCQPa9AYAZjBr/d6X1ZXbHMenpdYYaz36ncgeNTdz5kxQFIXk5GT885//RFFREdq0acOUh4aGwmQyoaKiQvYyrVY+R52JohwyURCE4ZqwR+ZpeQaupR/KdRVQq6QLIlfQnL83rveeFjov7pnNzDUSiprz5EqzsgqirKwsREVFQa/X46233sIbb7yBIUOGyFkFlxEWFuDwseHhgVCqFNBq/RAeFujCWjVewsPlaeeOAz9yhrbuuPQjRnQZJEsdaORqc2PCus0jwgfhq/z1eG/462gb3AYTv3kBSqXCZfdGynlUKqXkY3x8GoSm5XFeXirmt7ufc0iIP1BXb3Mtv2vezDau996Scl0F1p3ZjAdj+uDHwv9x7lOhqxDdFle3WZIgysrKwtq1a3H16lVs374dbdu2xcqVK3HPPffgL3/5i93jo6KiAADe3t5IS0vDCy+8gCeeeALXrzc4HsvKyqBUKqHVahEVFSVrmRRKS6tgMkkfYYWHB+LmzTswGk0oK6/GTdMdyedoatBtloNbPPO0btWUyVYHQN42Nxa42kybnyvKa+GjN5eZTJTke6NUKFnmOZVCCSNlknQeo9F8vJRj6uoaOnfL4+rrjdhxYi92XPoRt2rK3Jqqq7yiGpW6Gps61NTqmW18770leqMeh64eh5+XL2rqa23KtRqtqHvj6LutVCp4B/CifURffvklPvnkE0ycOJHl24iIiEBWVpbd42tqanDnjrnyFEXh+++/R0JCAhITE1FXV4fDhw8DANavX4/hw83RH3KXyQlFTHNuwZnQVoLrsfbtOEqnkDjm7xCNFl3COks+hyt9RNUGc0ocWgDwZTeQy18p9v0u11XgL/fZWqE8PYVEtEa0fv16ZGRk4MEHH8Ty5cuZ7Z07d8bbb79t9/jS0lJMnz4dRqMRJpMJsbGxWLhwIZRKJZYtW4aFCxdCp9MhOjoa7777LgDIXiYnZiFEBJGraYp5xVxJY0uoa6SMAOz7Z+zVOyqgNU6WFWBm8ou4L7gdfri4G0dvnZBUF1cO/Cr1d5i20VhnN3DGX0nfDwD45NgX6NW6O2t7ua4CPnej5gDu956LEI0WXVp1wqZz2aztnp5CIloQXb9+HR06dLA9gZcX6urq7B7ftm1bbNmyhbMsKSkJ27ZtaxRlckGBgolEzbkcLge5pztjuWiMgRqMIBJ418XUW6EwazON5YuxFkI0loEAjqbisb4ft/V3sPfq7wDA2l5n1DH7W7/3XNADMhNH3T39fYg2zbVt2xb5+fk22/fu3YvY2FiXVqolQEK33Qf9UfVv07tFzdNyZgE4d2E0mU1zQtqItHpTVv+Lx5WmOZVCxbnd0kTmaCoervtRf1d48GXkBszvfSiPic5ywqojoe/uRrRG9PTTT+ONN95Aba3ZyXXkyBFs3boV//nPf7BkyRK3VbA5QzXCF4LQdGlMC8BZmpAA4MTNAkQHRHHu64p6y22SDPYOxB1DtaAJ2NF1kKQ+L8v9/dV+KLM6vmurTniu61PMbyl+O677OiLc9dGnogXRuHHjYDQa8cEHH6C2thazZ89GREQE5s+fLypijsDGHKxAaAw0Nr+KozSWBeByivOwJn8DTGjo8LZf3IVQX/5AEnv1pi0I1oaEnOI8bDyzFTXGhigwV5okb9U0pP9asH8JI2j8vf0xKna4oAlYyF8p9M7Zy5BtDes+cZRbDwD4zIoA+1vwU/lCZ9Iz+9P3NSjIF/F+CaLrJwZJ4dsTJ07ExIkTUVZWBoqiEBYWZv8gAicUyazQKGiMfhVHaSyBGhvPbGUJIcD8vm88s5Vzfyn1th6+8TnoxS6LIEROcR4u3r7M/LZ8NwDz+/FV/nqkRCbhyU6TOc+hVnjBAHP9/L38ML5jqk29rc+rq9fZnMdLoUI9ZYRaqbZpb2JYPPM39/CWbZLk04isvwVL4U5jMBmw7vhWLO7jIUF07tw5GI1GxMfHIzS0YSmD06dPw8vLC/fff79LK9bcoUDCtxsDzqzt0tjwRKCG5Qi6lV8oRsQM5ezAgIaOzdpXQ9dvw9mtqK2vFVXvq3eKAHD7TGicNUlmF+6EyeobtReVRmPdqQMNWcf53rmNZ7bCQNXblPmofNAvqhf2XN2H3pHJ+O36AVb5geJctNfGiH7OfIKILw+dNXxrqjmD6GCF119/HefOnbPZXlhYiNdff92llWoJUFTzTjnSVGhMfhWpcM1RoTujMJ9QtwdqWK83dKumjDWyl0JKZBKGxwwGALv1zinOE5X01FmTpNh3gMuwISRshPK9cQkCtdIL94e0BwCcKj1tU24vIMVS7OcU52Hl8dU2+yzYv0R0e/nWVHMG0RrRmTNn0LVrV5vtXbp0wdmzZ11aqZYABRMxzTUCGotfRSpCJkVnzinFV8bX2SqgED3Isrymr5ev3f0pikJ24U67kV+uMElK9dVYIiRs/L38UF1fI/pcdwxVoL0/jg6cuHxpUo6nUSvV+GvX0aL2lYJoQaRSqZjMCJZUVlaSDtUBSLCC47gyuKCx+FWkYj/kWdrb5YivzNn1hqyvWXs37YylZiflujS0L8ZZbTA1djjW5H9jY54DgOtVxUyWhGM3T+DFPXmsd1FIiFEUZePrUSvV8FaqOQVUoDrA7h2lB05cffG1qmL8dGWvaLOi0DVSY4djYLsUl6evEm2a69WrFz799FMYjQ0RF/X19fj000/Rq1cvl1aqJUCBhG87Atfy01ypVcRivRJmU1mo0N7IWOogx5E5SELplPy9/HiPqzJUM4MJoXkx3FB2tdVlDyxyyfNLiUzCfUHtOMuMlBFr8jcAaPD9WL6LQgOZGmMta5VU+p0b3zGVc9mMPlE97S5JK3S9M+XnnRZCf417zK2mXtEa0axZs5CWloYhQ4YgOdl8E3Nzc1FTUyMq1xyBDdGHHMMdwQV09NNf4x7DgOg+rqim2xEyKTpiTnLE5GNPm+Sb5U+BEkxHI3RNChRSY4fj64INLPOcSqFCuG8Yimtu8B4rhKWWrYQCprsCj2+CKACbyECg4V3M6D8Pm85m85rg6FVSh7UbbCNE1p3+lrWceseQWOiMesH60+8+V79SZ7Sf+cYe3SO6OH0OIURrRO3bt0d2djZGjRqFyspKVFZWYtSoUdi6dSvJrOAIJOmpQ7gzuKApPQ17y0VLNZc7kizWWpts5RfK/LaXzcFgMkDJk+mA65r0t2K6u5Jol7BOrPLekckI0gQJXpMPay3bZOGPsQzfFgt9HjpUmws+IZwSmYRu4YmsbfYibO1piL4qH8FyIZh3zM0fh6R5RBEREfjHP/7hrrq0KExkHpFDNNXgAlcjFKotlG/MEuvJiyqFijXZUYyvjL6er5cPPh71Fnac2Csq+SZg/gbszYuhaZjQav4/OjAKR2+dZMrvC74Xt2pLbY6zbicAzP7fIlTX1zD3TChsmcs/ZA/6XUyJTML6099BZ7KdF8S0i+P8SgVbP7DXT1g+I64940Lux6myMw6Z5x67fxS+ObvZ7YNmQUF06tQpJCQkQKlU4tQp4XDJzp2lp2Vv6RCNSDruDS5oWs+DFgJj7x+BR+6VlnaFa/KiEkqolV4wmOolB4HQc4PEzkUBzB1257B4UfNiGI2IwxxG14Dre8opzsPXBRtZApY2l9E+HWf9J5ZYv4veXmro9PyCiAvreVYUKOy/epB3/6/y1yO7cCfvN3BPYBskhifg64KNACApaq9reAK+OQu3J2gWFETjxo3D/v37ERYWhnHjxkGhUHBKZ4VCgYKCArdVsjlCouYcg+6caDu6KydtNlUNlc/EJQSXwDDBBG+FNwyoR0b/eTbHCEUr0tmxpYQB09qINVw+P2uNSGwC001nswVT2tAmQkc0H+vF+gCgT2SyqHeR1gS53jmlgt22M2WFOF1hO4fTElqo8pnhkiO64euCjfhgUAZybxzH1wUb7NYRAAxG88qwFO8AwDUICqLdu3czWRR2797t1oq0NEiKH8dJiUzCqdLTOFxylLPDbGkoFLauXnvDHD6BQTu26bxqQmvrfJW/HpvOmte1oQWDULCEj0rDLF3grVQLmhCtz2FifETcHaIC3G0WM/J3RAgpoOCsy0mOCaeWx9B19OYwSTL7WQmiQyXiIkINJgOP0FUwGo2JomAy8QtmaxYdWAoAOHrjJB5s21/0cVIRFETR0dEAAIPBgKysLDz++OPMNoLjMKM7ohPx4olEpE31aTiyvIG96DrreUR8Jje6ozeYzCNnoQXa6u/uY3mcUP3Y2PlmFArOhKhiEBNpSGs/geoA3DFU8dZDrEZIt7+oqoRVX0tfFk2VoVrUOQFuQa1QNNw3CpRDy0BsKdwBP7WvZ8O31Wo11q1bh7S0NLdUoqXBvBREI+KkOSUilQPrEbQYUi0yR/NhaSKz18HqjDpM2zYfI2KGIi1+HFbnf2PTWdcLmMgsUSlUNv4OymJED9gKJIqicEdvnmT54p7Zoq4DsE2EXG30VnpDb7IInRZxq+lgCGuTH5fwOllWgBf3zLbJdG2Jv9of1SKFEZe5EFCwTJtCy0CEaLSo0FXa1NVgqndr/kXR4dsDBgzAgQMH7O9IsAvRiITx1AJv7noeXDnhXIm1TwFoeMf4ri22Q6E7ZzFRiZa55py5lxqlt039THY0ogsVl3Cj9pak61hOXk6NHQ4vhe24nBZCUnxTtLYjxeRXY6zl9WX1jOjKuxCfJWqlmnMi8dU715kgD/PK0PwDgkV9Zzut7TmC6PDtPn364IMPPsCZM2fQuXNn+PmxGzx06FCXV67ZQzQiTjyWiNQNj0MO7Y67c6TsXluMSSpEo0VOcR7n0gRc0AOGYE0QKnW3JbWDhisfWoNGRHeobA4UH5Z0jTm9Xsa9gfcwv1Mik3C9qhg/XfmVc3+6c3blKq9iaR8cAxNFYd91fkVAAQUMJgOnSfT4rZPoWGKe60lRwqa5nOI8Hq3KHBTz4p7ZTJZ1V2pHogXRm2++CQBYs2aNTZnUqLkVK1YgMzMT27ZtQ8eOHXH06FGkp6dDp9MhOjoa7777LrPWkdxlcsA4XolGxImYuULu6BDozsaV/imhLMyuugaXaY4SuDZtYkmNHY41BRt4TTVqpRqJYfGSQ5zLdRUYd/8ofHt+G2s7vaaOPSyfM63B7b9uDl8+X34BPVt3x7U711nHSNXAlh3KBHU3ewJ97zuGxOKnK78KJm2lzX9yYgKF9toYXkFkL8mskTJh1+U9AIC3Dy1Hha6Sd98NZ7dCrVBDR9kOPOj+ylLzdZUwEm2aO336NO8/KULo1KlTOHr0KBP0YDKZMGvWLKSnp2PXrl3o2bMn/vWvf3mkTDaIJiSIvawB7sTVueyEsjC76hoKns/YnmaZEpmE+4PvY7b7qXzhrfQGAGg1wUiLH4eTpaclz7MJ0WiR2Iq9cFqA2h+D7hEXdUVPaF1/erONH2vf9QN4cc9sHLtlfxkIIeiO2/LeN2hb/N+nJwaPFCUcYStGCNPCR0gIAeaBioGy/7xdbSoXLYhcgV6vxxtvvIFFixYx206ePAmNRoOePXsCACZPnoydO3d6pEwu3BmsYOkTmLV3IWb/b5HbfBPugk4do9UEA+BLROoeE4mr/VNiMz44cw0uH5FQbjLLOkX4tWL+fnfQYoy+/1EAwGspr9gNUni47QOcSTrLdRVYnvcpa9vkuMf4G2DFydLTyCnOEzRFuRL63nvS/CbEN2e/w4VK6amGLJHSIqFgBktcaSqXlOLn559/xhdffIHz588DAGJjY/G3v/0NQ4YMEXX8hx9+iNTUVNxzT4NttqioCG3atGF+h4aGwmQyoaKiQvYyrVZ8mpiwsADR+9oc28p8bECgBuHhgQ6fx5p9l3Ow7sxm6O92Qpa29nJdBdad2YygIF8MbJfismuKRWo7R4QPwsAOSXhm62x8NuZtm3IfHy+75/X1UUu67g+Xfka1gTusuEJXIbkN4eGBmNJjLD47lMU8EyHEXmPf5RysO76VWSmzWF9kc5zQ9ab0GMvs73PZm9ke1sof/uXm3yGhftD6BKKVXyhu8azI2TMmEZ2iY5F54Aubsko92z8UGKTBoXPiBkIVugrsuPSjqH1dRYWuAgGBGgCAl1LFhKM3BnRGPX4vynH4eCnrQ0mhlV+oy/ov0YLov//9L95//32MGTMGY8eOBWD2tbz66quYMWMG/u///k/w+CNHjuDkyZOYOXOmczVuJJSWVsFkkv5ww8MDcfOm+SO9fbvWpet6fH3kO8EOSG/U4+sj3yHez7XrzdvD3Gbp7byjrwIA3Lhx28YPUldn7iiEzltbZxB1XVpT5BNCAKDVaCW1gW5zvF8C/hr3GL47vwO39XcQotFCb9RzzqMRcw2uJaj3XPgdbTTRnClxuIj3S2CuU1vb8L7cuHEbd6rME1pv3KyEwUeBETFDeX1EFRXV6BouLrVXZWUNbuuqRO3rq/LlFX7uwlfli09zvgaARiWEaMRqKVx4Kb1cmsaIZkTMUEnfhFKp4B3ASxJE6enpmDhxIrNt/Pjx6Nq1K/7973/bFUSHDh1CYWEhHn74YQBAcXEx/u///g9Tp07F9esNjseysjIolUpotVpERUXJWiYXlNX/rkKMqtwUlsCmsZyE505ziT2TmLP+qZTIJET6RWDp4X8jo/88TmEi9hpcpkMjZRQ9x0MoHZCJalg1mI6sos+54ewW1NbXsSKqpLy/5ysuIkDtL2pyJt8qou5CCaV5Do9RfMYBVyM2kMMR3CGEBrbp49KoOdE+ourqavTu3dtme+/evVFdbf/l+vvf/47ffvsNe/bswZ49exAZGYnPP/8czzzzDOrq6nD4sDn8cv369Rg+3PxBJiYmylomFw3ziFybv0mMP6IpZam2zi8mFbGiS0g4u2yhPIvKOLMYn7Oh7bbOdopVRgt/yzktKZFJeOTeBwEAYT4hFkeKfy65JcfQJ7Kn6P3lIkSjha+Xj2A+OjlwlxByB0NjH8DkePE+PzGI1ogeeeQR7Nq1C3//+99Z23ft2oXBgwc7XAGlUolly5Zh4cKFrHBqT5TJB8X6z1UIpVcBmsYS2JYIdXRikgmIvb184eIKwG4uO7Gh3tYaXa/WPfBV/npM7/4s4kM7iD6f2GUw+PwCQgMRE2VkhP6xGyfxv2t/MPWICWoLgD0okDJAqK6vQcfQWPz8517Rx8iF2EzUBDO/XjqAKE0bz8wjateuHVauXImDBw+ie/fuAMw+omPHjuGpp57CF180OCz/9re/2T3fnj17mL+TkpKwbds2zv3kLpMDd80jsl6jxk/lC73JgHpKelr/xgBtAjKBgv155dyIERR86W5UHDPtrc/NN2F0RLj1sgxsQUSPwC07czGTX/kGG9Zr+Hgr1TCBsmv+s5QlJosw4R2XfmJyw5XrKnD7ltmvaSncpGhEfEuHB3kH4rYH5ubQNCVTdWNBb9S7PN2PaEG0efNmBAUF4eLFi7h48SKzPSgoCJs3b2Z+KxQKUYKoRUMrRG4I36bXqIkP6YDpPZ7F2tObsP96TpPMUi1kmhPjM7pZcws5xXl2sxpYLyZHax1eSmHxJxTqPaIL//pAOcV52Fr4AwDgo2OfMxMr9Ua93WXQUyKTcKHikk1oM730NJ39WW8yYECb3sgpOQKdUYdAdQAe6zCSo/OwMM1RJly5cw0AO0Ep0OAzcvSN7R7RhfM5elIIERzH1QJctCCy1GAIztEwkmR/mK6c0V+hq8SC/UuYFyanOE9WbciyLY6mBLEMVnCEy3f+tNuxW0KbszL6z2MSZ/I9k5ziPEF/DZ0AlL5O/i2zgLBOyGk5sZIP6zKupQYMJgNLOFGgcKA4F/cHx6Cg/ByeTkxDx5D7ea8BALklx3HcYtVTLtimOZOouWkKKHBf0L129yM0HfxUvi49n6R5RDS5ubno0qULvL297e9MsIHiMM25OidZSc1NVgcuZ/Zq67Y4mhKEybTsYOgq36ROvk7feuFHg6me85lcqLjEaCB8WLYZAL6//LPU6jNY+3XEjkYNJgMKys0Lqv335FrcMVTZDHAsRfyPV/bYXSLA8p06X34Rf4jI8UaBwsGiXDzc7gFR9SY0fnQmvUsHtw5lVnj22WdRUlJif0cCJ0xnZ9ELuHpGv20ad9el5LCXTdpVbXFWI9KouAdKfA57a3OfkTJytmP/9YOiQmLpNmcX7rQxdYlFqVDa+HUciXy8YzDP4bFOJ2R5b8UkKbUcFOTeOCY6NPhc5QWcKTsvpcoEF+Kj0rj0fPSUAVfhkCAi6+g4B1cHK0fG6XJdhdOpfsTkYhNqi5Tr052e0OtmLRBpIQkAeiN3J1lTX8OqQ0OKf3FICTIp11U49QxNlIkzuELJsSqrWPgGBcHeQfbrY9F2qdFmv1z9TdL+BNcRH9LB/k4ScWXfJGuuOYIZrvWI+Ea5rp7342yCTTHajlCdpVyfbxE0ALhVU8qcj/5/Tf4GrM7/htnGp0npjHpWHej/6bkc9urm6VxkKZFJiNPGOnWOcl0F/rl3AW5WlzLbBrcdaPc4fX3Ds+eLhCM0Po5a+P6e7DQZT3aa7LSfx5XPX7QgmjZtGn755ReYTCa88cYbsi6b0Fyx1CxdnXFaqLN0xkwnRnPjaosj1xdKDnv5zp8220x3p2SKga5DTnEe1p3ZzCqjfTtKKKBsBGM1axNoTnEeLty+4vR5dUY9Cm83RMCKyWChMzUsD0Dm3zRNaD+ngXIulZErLWOigxV8fX3xj3/8AwEBARg7diy6dOmCmJgYl1WkJcE10qfNL5vPbed0KkslWBMkmPK9XFfBOBulROv5qXw5U7BYj67UCi8YwO8/EKPW861ku/70ZpfMRC/XVfBqeACgUqrgrfS26XA9sbKudaCEO9K2bCn83uXnJDQ+aD+ns/MYXZmKSbQgeu+991BVVYXs7Gxs3rwZq1atQnJyMiZMmIDhw4fDx8fHZZVq/nCP9FMikxDkHYjMo6ucnvfj5+Vrd+0Rro7NXrQe1yJsltu58qhxQZvvhIQgE11oNenTVcsD2FuhlELjGvVbh2gTCI7iisn0rnQbSLI7BAQEIC0tDZs2bcK2bdvQuXNnpKenY8CAAUhPT0dhYaHLKtackWNELSZbL18EmJDpjK9jprdzaRjW0CZHe4EPDck1G9riykidxLB44Y+JonjL+ZKHetp/RCCIQSj5rRhcnS7MIQN4SUkJdu/ejV9//RUqlQpDhw5FUVERUlNT8fnnn7uscs0VJnrbjdGHYtPG842M6Ag3a/+EvaAKeyY3ywSf9gIfuAS2KyN1DhTnIjEsntM3R8P1samVavRv09tG6KiVarQPinFZ/QgEd0C/v1Kh3/dWfqGuSQRsgWjTnMFgwO7du/Htt9/i999/R0JCAp555hmMGDEC/v7+AIDdu3djzpw5dpeEaOnQI3x3aEa0wLhRe0vU/kooBIUR/T9truPKdWY5OuLzIdFYmt7sBT5wpfixZ06TgsFkwMnS05jQIRVrzzRMPk2LH4ev8teDQkP6HwXMpjpL82FB2TncqitlHWcdAEAgWJIQ0oGZZOwpaCEi1syrhBImmDDm/r/gkXsHOby+mBCiBdGAAQMAACNHjsSrr76K+Ph4m3169eqFoCD7cxFaKjnFedhx4Edm0a9jN09i37UDLP9IkLfjKx7Spi4+VAola+a8WqlGn8hkUc5vg8mAr/LXI0SjRVJEVxy8m1nA2q/D50OisfQ/2cskzeUj4ktQ6ijlugokte7KEkT0+Y2UkUnJ46VQw0AZWL67QO8ARhApoDB/3NcaPu53By7GrH0LXVZXQtMnwj/C44KIRuygTqVQwUSZ8N35Hfj1z/2Y0mOsyxfXVFAi7UNbtmzBo48+Co3GtTN0mypSV2gV48RXK9V46J4B+PHKL/ho8DLJdbLMLcdF11adcfzWKQCwyZsmpXNXK72YVSyt62mdS40LWgtT3+3cuQjRaNE7Mhk7L+/G4r5z0co3VNI1xBKi0WJeyiuYtW+RqP0t2/te7ke4UHmZVU6PHgmup5VPGEsDbSzQC/6pFV52Q6JVCpXH1z5SK9XMelh2+ySOb9Rb5Y2/xj0m2TQntEKraB/RmDFjiBByAjFOfIPJgD+KDjl8DXujm9Z+4QCA2T2nI6P/PFZGZykILaUsJpKGNgXyCSHA3Jafr5jXrrEeK7kyIEBv1OPwjeMuOx8RQg24OnAjWOO4tcBdtPILwZSECQDERaK5Sgg5YzmxTPybFj8OwRp+K5a3ynY+IL0MhCtxKOkpQTpi/Rp0TjBHsKdq0x+BkCBxBMsQbD+Vr8tGffV3R5eWvrSc4jyX+taq62uw+Zy0tanWn97sknkYzZ0AtT+qDdVO3afu4Yk4etOcFYDP7Eu/b8HeQajU28+X50pKa8otlld3vabDt16Tniehr1jofiIlMgkdQ2Ixf/9b6BvZk5XEVgUlb5Ssq5eB8Py08RaC2Jj7QDW36sqFdfJR68XRrLl2pwgA8EHeJ07nnLOsg2UIdo2x1uUfJAUKOcV5mLV3oV0TYq/W0iN5pEwOXX96M/ZdP0CEkAhq62udvk+nSs8wf1fpqjn36ahtDwB4Jel5p67lCGF+oThbfsFt53+YJ+1SnVHHuV0sluHbirti4L7gdgAazM8KpVK21GNEEMmEvbQ3gNl22zeql6jzcc3Bsbc00B7AygAAIABJREFUwbmKhg9GbM63PpE9bertpWxQpMWYHJ3l+M1T+Lpgo6iZ3PVOpi2xB5lQKp56yuj0fBXLd+uWroxznz+rrgMAlGLWj3cxf+06GodKnB/Q8bHr8i+C5Y6aPy0HCMx9u/sfk3vRVA9dva3A81Z5u3QOESCzIJo2bRpSU1MxZswYpKWloaCgAABw8eJFTJo0CcOGDcOkSZNw6dIl5hi5y9yJ2mrp6bb+bZi/6fk1caHCi5fR8M3BEfrwrf0XtK14/enNPEcAp8vPoU9kMmNH9lP5wsuiHXIstfz9xZ9Ea1n1bhaKBGm4UnPkW0qjymDWlDwxmXhguxTm+lwonMxXWFMvPPhy1ExtqdHQJk/6/llG3loP/vy9/PBcr8ddvq6ZrIJo6dKlyM7OxpYtW/D0009j3jxzKOzChQuRlpaGXbt2IS0tDenp6cwxcpe5A1p7sX6owT7BAICH2g5gBQ+IgU8ASP3wy3UV+O36Qd7yCl0lDhTnYvA9ZhNBjbEWdcY6SddwFr0E4WIwulcjIrBJbe/akbEQlpq4Jf5q/7t/NQgiZzUxKQQw17eFAmV3SoMzSDHl01hnRWi4V+b/hSwctfXu+fZlFUSBgQ2RHlVVVVAoFCgtLUV+fj5GjhwJwDxPKT8/H2VlZbKXuQs+89X5u6YyqSO5nOI83g9Nqu3WT+Vrd1RlMBnwwyXHVxiVk9ONZI5GS6FbeGc82Wky1Aphs7MrCPSy7XTVSjV6tu4OgG2aM4nIJO4K9l3OQa1BuHN2Z7i2IxkSvK1M7bSg3HJ+h91jTTDhi9wNkq9pD9mj5ubPn4/9+/eDoij85z//QVFREVq3bg2VSgUAUKlUiIiIQFFRESiKkrUsNDSUo8bOw6e90A5HKR8MrV1xaT70SEfKnCAjxH0kzjpHCc0TpULFpGtyt5m2Qs9O4kvPhVMplNh7dT8TXUcjR07HT3JWi/6GXIkCClCgkBDWETsv75Z0bHV9DWtieV7JcWa7GIRMkY4iuyB66623AJgnyC5btgwzZsyQuwougW9iFhet/EKZbAqW+Hr5oLa+Dn5+3ggPN2uLxSbzYlP0b2t2HPiRV3X28fJGUJC0xa50ToaBElo2Ea2CEO4fiAoZfIXWgkWlUiIoyBequ6vV7rn6P7fXwZp6k7AQor9xV/N00kR8nvcNQrSOLU5nMBmw49KPGNFlEHb9sUfy8Xz9k6N4bB7RmDFjkJ6ejsjISJSUlMBoNEKlUsFoNOLGjRuIiooCRVGylklBSmaFETFDOWcw0/N5fjq/D6GqVkiJTEJFhXlUwpfLiUug0dzRV+PTnK9F1YlAcAR6JE7z4vYFCNFo4a3yln1Qc6umDJ/mfI2+UT0BAGW17heGUrkvqB3OVVxgffuuyL5RVWW+1+UVji9TcqumDDdv3kFpbbmk4wK9/R3KNeeSzArOUl1djaKiIub3nj17EBwcjLCwMCQkJGD79u0AgO3btyMhIQGhoaGyl7kLegazRsXOTEFHAdUZdaKXz7bnA3J3KDWhZcPleC/XVXhMszaYDMgtOQYA0GqCPVIHIVr7hZuzF3ibo059VT4uCV7YeHYrAPOcQMCxiEG6LxHqU1QKlc3vp5ImSr6WPUTnmnOWW7duYdq0aaitrYVSqURwcDDmzJmDzp07o7CwEHPnzsXt27cRFBSEpUuXon178yQ1ucvEIjXXHGBefVXj64Xvz3KrwiEaLaYkTEDm0VW8uebELjxHaJq4Mrt4U8ZP5QudSS/J0T+hwxhsPLfFjbWyxUupsjHPaSy0w0H39MPEjmNwo+YWFh9Y5rbsDwoAfl5+ov08dL65lMgkHCg6jDUF3AEIT3aabLNw5Ygug1yuEclmmmvVqhU2bOBubGxsLDZu3NgoytyJQqEQXCfIsgOiKO6wz5TIJJgoE++LQ2javNnvNbz0yxxPV8MGZwSktTmPD7VSDYPJgBe7/R86hcUhpzgPq/O/sXus/90OuEdEIjae2+JSYU6fm++cPiofUEqK2Sc1djjr+6Qzx9MRfWKFkJdChXrKKLotFMwTTf+R/AIyDr5nt03jO6ayck2uKdiAEE0wynWVCNFocVt/B0bKiJTIJJfPGeKCZFaQEQUUMJn4BZHS4oPl+vjolD70Sy5HyCxBXg6VHPF0FWzMMV5KL4dn0vt7+aFzqHDqKXq/yXFjATSYmVIik+Cr8rF7bFJEV9bvjP7z8GSnyQ7Uls09/lFY9sAifDR4GWv5D8vhYZWhGnqTAU92msw5F9B0V6Oj2ySUYJSNeX/L69qjXFfB5L0TyuLirfJm1fNw8ZG7x1cywlTNM2fLXRBBJCP2NCITKHx5ah0A24zT1il9AOHs1YSmiauzGjuCRunN+DQA4C8xj0geFauVajzZaTLGd0zF+UrhXGz0CL1X6x4A2H4oMWmd8u5mT192OJPZlhKZBH8vxyLKaEJ8uX0n1kNEy1WFrcspRiMyd7Vx2g6irk2nqqL9xvTxQvipfJF5dBUA2ywullj2ITnFeVh7ZjOrbO3pb2G0Ew3oaoggkhElhAUR0BCjbz0yliOnG8HzNAb/UI2xFrN6vsT87tKqk91AmjhtLFr5mQN+6HRVgDldjL05aPS8lsMlRwGwHe9iJmjTfpEKnXme0ez/LUJOcR7Gd0y1m99RCCmpefie2+9Fh7Bg/xIcu2leB+xsxXlJdaAFXGxwDOteWGutCgA6k57J1C0kwC3Pw5cqrF7mNZOIIJIRs0YkLsBh+4UfWb8bQwdFaBmEaLRQWnR0KoXSrqZ2o7YUH496izFj0ZNcxQ6eDCYDtl3YBQCwdI2KSRZsjeWEzT6Rycx2JRSMkHur/3y755ES3WbZuV+0WiyxXFeBLYXfA2gQlmKhv/sIv1bI6D8Pb/SdCwCY2HEM65peSrXowA5LMytfvyLHZGBLiCCSEYUIjYjG+gVxddp1gmtw1vwjJ/Qomn6XVFDajKwB81o3x+6u5AuYsyfYGwhxlUsdPNH7W2pE9NQH6/dfzDSGjWe2sjLSm0A1+GBFDAhPlZ4RNaXCOnfb0RsnOOsD8IeYi03ZRQvHnq27I6P/PCa61lFrCd99lDuBLBFEMmLPR2RJiNUL68jIsCUj14c0vmOqLNeRCu3kpzu4EI2W0Q5oB3jPyB6YkjABfip2Ng7rxQKVCv51aWi4yvmOsd/psstTIpNYne792vuQ0X+e3TrVGGt5O+h3D68QPBYwd+5c8/v8vRqSnLbyC2XCoGmEQqgfjXnE5jtWK9Xo36Y35/dtHSRCv9fW2pqYoA6aNfnfMG3i6lfUSjW8ld6iz+cKiCCSEQWUnIJIxeGI/Mt9Q1i/UyKTWGYGAj8qhQpPdJqEjwYvc0n0lBCOhrb6qXxdOrCgO3d6xD29x7P4aPAyZA5eio8GL0Nq7HAmF9uC/UvMxyiUSIlMgsZLY3M+ViYAhUIwas5aI6Dh6+S4Ol3Lc9gzidHLkDgzOOMKo+YSkNaBCACg8TJ30h8NXoaPR71l8w4Iacm9InuwNDzanzY5/jHWdjrTuPW5G5ZsYBMXcr/oe2ECxQhYa42Trg/dRrkggkhG+HxE3VolMn/TKeWtQ1JzivPwe9Eh91bwLv5efojTxspyLXfwQHRf1hwJqWZNfy8/RPpGuKQu3gq1jXamVqoxIW4049B3BSZQUCvVGNZusE0ZHXFJj9RpE9itmlLWbz6UHOY7hYWmZa0R0Fh3cvQkSutOV+gc1u0AzBnWaWGaFj/ORqOjryXFbKqEgncJFev7Y8+s1z080WYbLSSUULA0PMuQ75TIJCzsMwuAWbBw0fAusd+pewLb2NxTofZbCliu+shtmvNYrrmWCF/U3L1B9yDv5nG09otAauxwrDqxGm8efA8VFnH9m85muzWdPI1a6YXxHVOxJv8bycdq7OQbi9PG4kxFoTPVEwn7I5KakZyiKJTqpOXf8lJ4ca4Oq+cIsbfsdDedzRY9G94eBpMBuy6bs3ZYdiR8QQNXqq4CsD9Z9djNk9h8fjtrm5fSS5TwoCdEvrhnNjqHxbM6XSnaJC1Maegw47T4cXh30GLkFOfZZAAAIDoLidA6XtYDGTrgYMH+JZjSYyzi/RJY5THB7bC/KIe5ryEaLR6NeRhrz3xrV9vj03gaZB93OWB7T+1lYRF65u5cQ4kLohHJiD0fkUKhwLlyc0dNv+z0B+eqzsoeBlM9sgt3OrSypt5o4NU+/FS+uFFbKuo8zo7G9l7bz7LrS51TIuRbsIYemQ9uO1CU5mU9mXB8x1TOfF5PdppsXueHw4Ql1BYmKsviFvJ1OPSggc+ERvPN2e84Q3ylznkS+1S5nj9fmLHQqJ4v0EEKXGZHOuChXFeBzw5l8QY00PVJjR3OrOe16I9lggEQfBoPTcOy3uxyrig3uv18CN0XEqzQjOETRJajoEN351JYIvf8oXJdhUMvIgWKs1PzVnljQtxoUVFUIRotnug0SZS9m8/pbaJMNp2ks3NK+LBsk5RZ8DQpkUmYkjCBZVKZkjCBsyOlTVhCgxLaRyRmLo5G5c3Uwfo6YvyRck4p4LuWvTrQAkqKMKL39bbIx8YnPPRGvaBAbpiIzh5Y2ovG41NI6OcqdgVaPq2Tz69Ho5RZIyKmORlRQAEjlyBi1G0Fqt2w6JQjODqPgH7xLc0ktPnC3uJp9MdhfQ6AnfOL3ufFPbN5z2V9HfqcG89stTtb319C8kiaP4oOYfT9j9rPDcbhXxAyU3GVCd3HEfcNQdbpTbAcUafGDuc00cQEtuO9Dq3pCeGuKQVcfSDffRVbB757wHW+jP7zWKZEa7OgNULPW0iT43rmDYNSax3h7ntjdW9ogbbj4k/4/foh1vdjiVqhRoC3P8t0KWwaJYKo2cKnEf1wybzCYk29/XQmjRnvu7nvrDu18PBA3Lx5R7AzsP446HPM3/8WKnSVWPbAIptjhASGEgomKoiGnmQpJIgGtumD9toYST4lALhjqMKC/UuQGBaPA8W5vB2evYXUxMB3Hwe26YOerXsg6/QmVjdiLdj9VL6oMdbiTIXZ6c/VKdnTNOyNqJ3DthPkarOUOnDdA+vs3vT56M79yM0TWLB/CfRGvaAAsxWGDYMNqZpcw6CUG1oTUigUvH4zwFYT8lKpJGnscvuIiCCSEb4JrbV3BVClzjXp4UM0WkT4hvEGBqgVapfnqVNAgb8mCEeBcWlL9kdm3OQU5wmufEmHqFpeFxDuYJ/sNJnZV6ogos99oDgXfSKTUVBxlnMRQxNMNgJSKkL3kV7jyrojoQW7mM7LntnImecmBj5HPODcu8PlzOcLcKCxJ5C9Vd6CwlCqJqfg8QHZlEO6tiUFYpprxthL8eOqtBoZ/efxmlboD8AR+76XwgtGymhTTx+VBpPixop6+aVGS/H5qswBFcKTg7k+SqGOQcx+aoUaUPD77QwmA06WnsZnY97Gc1te4zyHKzoKvvtoLzmmmM5LyOdhKazdB/czd/WSBFznW7B/iWifrAIKPNfrcZuoOUuc1eS4rkpf21G/mbiryBs+QIIVZERM0lNXkFOcJ/iSOvKiqpVqJIYlINIvghFm9PyNOqMO2YU7RaVDkUJOcR6jJS7Yv4R1frFtsN6PL0LMumPg2y8tYZzdSCz6mu7sKPiw9DdKubbldqH6OSUIZB5lO4KUZ8Mn9C0HanwBJ47eRyamTqHgfQdd4bsjprlmjEKhgEnAR6CAAkqF0un5QtmFO+2aBKR8cLTZokJXiXqqHi90+5sk+7Qj0OentR7r84tdMMz6oxRr4rG3X0pkEhbsXyJ4j511sDsC3YHwaddi6uSJelviSXklNLHVGiNlxLrjW7G4D79GBLhGk6NAmxJ/AABef6QrfHc5xXm4WXOTuY47zbA0RBDJiBJKVNbxL7EbqglBQlhH/Hb9AACzycteCn0uynUVeLLTZEGTwNcFGwUFnhJKlunrQsUlHL5xDLX1tbwOXFfZpwH7JiQxUVB8H6XYjsHefvbMLnx1dJ+T3z5iTEWuNydJQ+45LJZInT9XyuEHdAc3a27hcMlR5plY+iNPlp522udKQw8A6eheVw8w+ZBNEJWXl2P27Nm4cuUKvL290a5dO7zxxhsIDQ3F0aNHkZ6eDp1Oh+joaLz77rsICwsDANnL3Mml23/iJseLSy+RHKDxR0zwvYwgcmZNkAsVl5AWP44Z0Xsr1firhUmgoPQsckrMpq4QjRaJYfHMC01HFNHfZLmuAvvu1on+zYerzE72TEhcGotlG9ztUOerg7XWZFlufZw74fNFitEIXRlU0tTg0wb5NKWwu2swuZsrd65xDsxOlp4WFQ0ncvUZtwZACCGbIFIoFHjmmWfQu3dvAMDSpUvxr3/9CxkZGZg1axbefvtt/H979x7U5NXnAfybhIuAYggFCehq3amKI0qBqrV1tNEVq6hdXYvXaUd7sdWqdbxgb6yjrUb7apkB66WdttOX1dm3r4uKU0sd3C7t1Atqy+IFLV5e+nIRAqxaVoTk7B+YrEASQi7Pk4Tv5788J5fnPJzwyznn95yTkpKC3bt34+OPP8bWrVthMpkkLfO0X2tLrQ6ZBChVaDG1tKVmPtJizBlQziiqPIXB6kGWeyISoxPaNaSBfQfgTM15y4rGj3rvp4/Q1OxcKrm7hm8cGR5y9+S1M7o6h0fLlxeul/DXvu3/PI5cN3deW0s69O0SyYZ6nGWrNzg2JtnqMNj8kbM6v4kHtvJ5YLK+dJa75xvlmNcEJExWUKvVliAEAImJiaisrERpaSmCg4ORkpICAJg3bx6OH2/L2pG6zNNs3fNiTkP+292/489X/uK2z3s0+6k7/wCdbXTuHL5xNKmArHNkvx0p2JpLdGyZG+nZSi6wtVDr+IGj3fr55uvy68OV0s2PbW3L4O55O08mQNgjyxyRyWTCgQMHoNPpUFVVhdjYWEuZRqOByWRCY2Oj5GVqtWcvtq0bMAMVAWgRrW5f1LShudHSkE9Xn8PVhnKHfo06mggQqgpBcECwR4Zv/HV4SKqdL6XeYdMWuYZ6XGGrN+jpHri1FRzMjwf0icPf7v7uwrydY+1BrvlBWQLR5s2bERoaikWLFuH777+X4xRcFhnZu9uveWZgCgrK/6vT8a7uh3FW78AwHCg7ZHnc0NyIA2WHEB4egj692zbSiorq0+l1i578Z+w9m4sHdlbSDlIFYelT8xz+RWjtc7oyPWoCpidM6PbrvIWtOjtzLbpLrQ5FVKTnP6ejjnVrtPGDprG50eZ1iIgIQ5RG+nN3Vsd69L4TbPV4V46dKrAatAFggCYG0+In4kDJYRia6hEZqsH8kbMc/v4pFAqHzmd61ASEh4d0+TnubsOSByK9Xo9bt25hz549UCqV0Gq1qKystJTX19dDqVRCrVZLXtYdBsM9mEzd+9UZFxyHPkFhuPug/Xpy1tafc1WgMhBCiE7B5IHxAf584T/wTwMnAgBqaztn8Q0Ljcf8obO7TAQYFhpv9fUdmZf46Uk61vnRoajX8zZ6vHdX33APtSZpr7m1v7PaRu9aHay22SYaG5tQa/SN9mKtznfvtg21d7fNW1uJw+z+/RYMC43vlCru6GeYhMnh53b1Oc5+n5VKhc0f8JIGop07d6K0tBT79u1DUFDbmOeIESNw//59FBcXIyUlBQcPHsTUqVNlKfM0hUKB4IDgToHI3cyBwtYyNY4Mu3lDIoC/8PQ9V9Z4y9Cc3KngcnD2ytsdEveOP6fHSBaIrl27hr1792LQoEGYN69t++b+/fsjJycH27dvR2ZmZrt0agBQKpWSlnmaQmF9q/BAZQBaXMiQe9TcJ2Zh4oBnANhepVmqGxOpjZTzJOae15/O7faKeTXn5vq8fwUGWzredNqd6z/zH6fi60v/3m6ovuP9fP5KskD0xBNPoKyszGpZUlISjh496hVlnmRr0dNhEUPw34ZLLr23+V6kR7/D9n6N2lswlNxLqpRYOXpejnC0d20OotvOfuIVQbS7Ou6I6sz1VygU7Xo/HR87y9s7VFxrTkK2toHQ9u7n0vuGBYRaNjL7y9XDlnXZ3L3OFTlHqpTYrnYx9WbOpHl7G1ev/5Hy450yZ82PvWWo1VO4xI+E2npEnRuUs/d82Fu6/tFfYgw88pJqnkSumxHdwRfTvDty9frbe15dk8Gpc/IVDEQSOVN9Hn+9dhT3rOzA2p1fO0oosHh4eqfdNLv7JfbdUXjfI9U9UXIvVuoKXw6iZq5ef3vJChX3Kq0ed5iX3OBsCwORBDqOHXf0499PWT1uTccgBPjHl9jfSdEz9eUMNV8OomauXn97ma62lvjxF5wjkoC1YYdHdWeFbWv/zLo7B3Gm+jyOXv8OQOd9fsh3+fKcoD8s6eTq9R8dk4SwgFCrZbaW+PEX7BFJwF09k0BFoNXj3fkl5o7MHvJevjon6C9LOrl6/f9lyEyroycDesfaeIV/YCCSgKNrt3VlrDbZ6vHufIn9YVKY/JOvBlF3svZdbmhuxGOhnt+mRk4MRBJwZBM3R5Qartgsc/RLzPkkIu/W8bu8vHC9jGcjDc4RScA8duzq8vbuCBZyLfNORPLx7pw5BiLJjI5JcvmmNHcEC3+YFCbqaZz932FORGoxtXh1YhKH5iTUNygc//PgjlOvdVew8JdJYSKyz1uXfLKGgUhCk/9hAv76m2Nr3Hl60zlva4hE5F6+lJjEQCSh5H6jHA5ETcb/xY4Jmzx8RkTkr3wpMYlzRBJSKVUAgAClY/HfW8dziUga5v8BZ6rPd3uOx5cSkxiIJBSgaAtE0SGPOfR8X1g1mYg8w9UVyX0pMYmBSELmnpC6V1+Mjx3b5fO9sQtNRNJwdVsJX1ryiXNEElI97BEBwLxhszFYPcjmLqqAd3ahiUga7pjj8ZXEJPaIJKRQtN3QajK1bY43OiaprftsZQ05b+1CE5E0fGmOx1UMRDIw77poWYBUtO9+hwWEem0Xmoik4UtzPK6SLBDp9XrodDoMHToUV69etRy/ceMG0tPTkZqaivT0dNy8eVO2MqmYA5Gt7SGCVEEMQkQ9nC/N8bhKskA0adIk5ObmIi4urt3xzMxMLFiwAN999x0WLFiADz74QLYyqRgfDs35Up4/EUlvdEwStjzzDnJ027HlmXf8MggBEgailJQUaLXadscMBgMuXbqEtLQ0AEBaWhouXbqE+vp6ycukZO4R9aQxYCIiW2TNmquqqkK/fv2gUrVlk6lUKkRHR6OqqgpCCEnLNBqNZPVufRiIrG9oF+CXY8BERLYwfdtJkZG9nX6tQiEQFdUH06MmIDw8BAdKDqOuqa1XtmjUbDw/ZIK7TtNrREX1kfsUJMc69wyss+tkDURarRY1NTUwGo1QqVQwGo24ffs2tFothBCSlnWXwXAPJpNzS7M3t7agtvYuAGBYaDw2jY1HU0sT1hX9K54IHWIp8xdRUX38rk5dYZ17BtbZcUqlwuYPeFnTtyMjIxEfH4/8/HwAQH5+PuLj46HRaCQvk5LRZOx0TPnwZlfzvUZERD2FQgghyeZ9W7ZsQUFBAerq6hAREQG1Wo1jx46hvLwcGRkZuHPnDsLDw6HX6zF48GAAkLysO5ztES0vXI/egWHQj89sd7zF2ILVP7yLbc9+gD5Bzg/7eSP+auwZWOeewRM9IskCkb9xJhCdqT6Pry4dBIBOewwZTUas/M+N0I/PRO/AMLefr5z4Ze0ZWOeewROBiMkKEulqt8RzNb8AADYUbeKuqUTUozAQSaSrlXT/reyQ5bg3b+lLRORuXGtOIvZWUXB1uXciIl/GQCSRUFWIzeNc6oeIejIGIonYSstWKBRc6oeIejQGIon80dpk83hPWu6diKgjJitIJCJYbXWoLSJYbUlIMO/Wyqw5IupJGIgkYn2B0//v9fjKlr5ERO7GQCQRc5A5drMAdU317PUQET3EQCSh0TFJmJ4wocfdiU1EZA+TFYiISFYMREREJCsGIiIikhXniJykVDq/b5Arr/VVrHPPwDr3DM7U2d5ruA0EERHJikNzREQkKwYiIiKSFQMRERHJioGIiIhkxUBERESyYiAiIiJZMRAREZGsGIiIiEhWDERERCQrBiKJ3LhxA+np6UhNTUV6ejpu3rwp9ym5rKGhAa+++ipSU1MxY8YMrFixAvX19QCAX375BTNnzkRqaiqWLFkCg8FgeZ29Ml+SnZ2NoUOH4urVqwD8u87Nzc3IzMzElClTMGPGDLz//vsA7LdrX2/zJ0+exAsvvIBZs2Zh5syZKCgoAOBfddbr9dDpdO3aMeB8HZ2uvyBJLF68WOTl5QkhhMjLyxOLFy+W+Yxc19DQIE6dOmV5vG3bNrFx40ZhNBrF5MmTxdmzZ4UQQuTk5IiMjAwhhLBb5ktKS0vF0qVLxXPPPSfKysr8vs6bN28WH374oTCZTEIIIWpra4UQ9tu1L7d5k8kkUlJSRFlZmRBCiMuXL4vExERhNBr9qs5nz54VlZWVlnZs5mwdna0/A5EE6urqRHJysmhtbRVCCNHa2iqSk5OFwWCQ+czc6/jx4+Kll14Sv/76q5g+fbrluMFgEImJiUIIYbfMVzQ3N4sXX3xRVFRUWL7A/lzne/fuieTkZHHv3r12x+21a19v8yaTSYwePVoUFxcLIYQ4c+aMmDJlit/W+dFA5GwdXak/V9+WQFVVFfr16weVSgUAUKlUiI6ORlVVFTQajcxn5x4mkwkHDhyATqdDVVUVYmNjLWUajQYmkwmNjY12y9RqtRyn3m1ZWVmYOXMm+vfvbznmz3WuqKiAWq1GdnY2Tp8+jbCwMKxatQq9evWy2a6FED7d5hUKBT755BO8+eabCA0NxR9//IF9+/bZ/S77ep3NnK2jK/XnHBG5xebNmxEaGopFixbJfSoedeHCBZSWlmLBggVyn4pkjEYjKioqMHz4cBw6dAhr167FW2+9haamJrlPzWNaW1uxd+9e7N69GydPnsTvDArQAAAF5UlEQVSnn36K1atX+3Wd5cQekQS0Wi1qampgNBqhUqlgNBpx+/ZtaLVauU/NLfR6PW7duoU9e/ZAqVRCq9WisrLSUl5fXw+lUgm1Wm23zBecPXsW5eXlmDRpEgCguroaS5cuxeLFi/22zlqtFgEBAUhLSwMAjBo1ChEREejVq5fNdi2E8Ok2f/nyZdy+fRvJyckAgOTkZISEhCA4ONhv62xm7/+VvTq6Un/2iCQQGRmJ+Ph45OfnAwDy8/MRHx/vU911W3bu3InS0lLk5OQgKCgIADBixAjcv38fxcXFAICDBw9i6tSpXZb5gtdeew0//vgjCgsLUVhYiJiYGHz++ed45ZVX/LbOGo0GY8aMwU8//QSgLTPKYDBg0KBBNtu1r7f5mJgYVFdX4/r16wCA8vJyGAwGDBw40G/rbGavHs6WdYUb40mkvLwcGRkZuHPnDsLDw6HX6zF48GC5T8sl165dQ1paGgYNGoRevXoBAPr374+cnBycP38emZmZaG5uRlxcHHbs2IHHHnsMAOyW+RqdToc9e/ZgyJAhfl3niooKvPPOO2hsbERAQABWr16NCRMm2G3Xvt7mjxw5gv3790OhaNtZdOXKlZg8ebJf1XnLli0oKChAXV0dIiIioFarcezYMafr6Gz9GYiIiEhWHJojIiJZMRAREZGsGIiIiEhWDERERCQrBiIiIpIVAxEREcmKgYiIiGTFQETkxx48eCD3KRB1iYGISAb19fV49tlnkZ2dbTl25coVJCQk4Ntvv7X6mpKSEixZsgRjxoxBUlIS5s+fjwsXLrR7ztChQ5Gbm4sVK1YgMTERu3btAgAUFhZi9uzZSEhIgE6nw65du9oFqcOHD2POnDl48skn8fTTT2PlypWoqanxQM2JOuPKCkQyKSoqwhtvvIGvv/4a8fHxmDNnDkaOHImtW7daff7PP/+MmpoaJCQkAAByc3Nx9OhRFBQUICIiAkBbINJoNFizZg3Gjh0LALh58yZWrVqFd999F0899RQqKyuRmZkJnU6HDRs2AAC++eYbREVFYfDgwWhoaMCOHTtgMpmQm5srwZWgno6BiEhGH374IQoLCzF69GgUFxcjLy8PYWFhDr1WCIHx48dj3bp1mDVrFoC2QLRo0SLLVt4AsHDhQowbNw7Lly+3HDtx4gTWrVuH8+fPW9ZSe1R5eTmmTZuGH374ATExMS7Wksg+bgNBJKN169ahqKgIeXl5OHjwIMLCwlBZWYnp06dbnvP6669j2bJlMBgMyMrKwunTp1FXVweTyYT79++jqqqq3XuOGDGi3eOLFy+ipKQEn332meWY+bW1tbWIjo7GxYsXkZ2djStXrqCxsdHyvMrKSgYi8jgGIiIZ/f7776iuroZCoUBFRQVGjRqF6Oho5OXlWZ7Tt29fAMCGDRtgMBiwceNGxMXFISgoCC+//DJaWlravWdISEi7xyaTCStWrLC69YRGo0FTUxOWLl2KcePGYfv27dBoNGhoaMDChQs7vTeRJzAQEcmkpaUFa9euhU6nw8iRI7Fp0yYkJSUhNjYWAwcO7PT8c+fO4b333sPEiRMBAHV1daitre3yc4YPH47r169bfU+gLUmioaEBb7/9NgYMGAAAKCgocL5iRN3EQEQkk6ysLNTX1+PLL79Enz59UFRUhA0bNuCrr76CUtk5ofXxxx/HkSNHMGrUKDQ1NWHHjh0IDAzs8nOWL1+OZcuWITY2Fs8//zxUKhWuXbuGkpISrF+/HrGxsQgKCkJubi4WLlyI8vJyZGVleaLKRFYxfZtIBmfOnMEXX3wBvV6P8PBwKBQKbNu2Db/99hv2799v9TUfffQRmpqaMHv2bKxZswZz5sxBXFxcl581fvx47N27F6dPn8bcuXMxd+5c7Nu3D7GxsQDahuf0ej1OnDiBadOmITs7GxkZGW6tL5E9zJojIiJZsUdERESyYiAiIiJZMRAREZGsGIiIiEhWDERERCQrBiIiIpIVAxEREcmKgYiIiGTFQERERLL6PwmIF1QMlbF+AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2c7kpqta2zz1",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 321
        },
        "outputId": "51a94220-eaf9-49fd-a978-5228384ecfa9"
      },
      "source": [
        "df['price_sqm'] = df['price'] / df['house_area']\n",
        "\n",
        "# most & less expensive municipalities in Belgium by average price/square meter\n",
        "\n",
        "print(df.groupby('city_name')['price_sqm'].agg('mean').sort_values() )\n",
        " \n",
        "filt = df['city_name'] == 'Beauwelz'\n",
        "\n",
        "df[filt]"
      ],
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "city_name\n",
            "Beauwelz         350.000000\n",
            "Focant           390.243902\n",
            "Nollevaux        421.212121\n",
            "Attre            560.424679\n",
            "Roucourt         657.142857\n",
            "                   ...     \n",
            "Heverlee        4148.311309\n",
            "Leuven          4600.957816\n",
            "Ramskapelle     4697.122149\n",
            "Knokke          5924.335983\n",
            "Westouter      19671.523810\n",
            "Name: price_sqm, Length: 1046, dtype: float64\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>postal_code</th>\n",
              "      <th>city_name</th>\n",
              "      <th>type_of_property</th>\n",
              "      <th>price</th>\n",
              "      <th>number_of_rooms</th>\n",
              "      <th>house_area</th>\n",
              "      <th>fully_equipped_kitchen</th>\n",
              "      <th>open_fire</th>\n",
              "      <th>terrace</th>\n",
              "      <th>garden</th>\n",
              "      <th>surface_of_the_land</th>\n",
              "      <th>number_of_facades</th>\n",
              "      <th>swimming_pool</th>\n",
              "      <th>state_of_the_building</th>\n",
              "      <th>lattitude</th>\n",
              "      <th>longitude</th>\n",
              "      <th>province</th>\n",
              "      <th>region</th>\n",
              "      <th>price_sqm</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>40044</th>\n",
              "      <td>6594</td>\n",
              "      <td>Beauwelz</td>\n",
              "      <td>0</td>\n",
              "      <td>70000</td>\n",
              "      <td>3</td>\n",
              "      <td>200</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>4000</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>unknown</td>\n",
              "      <td>4.156972</td>\n",
              "      <td>50.015365</td>\n",
              "      <td>Hainaut</td>\n",
              "      <td>Wallonie</td>\n",
              "      <td>350.0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       postal_code city_name  type_of_property  ...  province    region  price_sqm\n",
              "40044         6594  Beauwelz                 0  ...   Hainaut  Wallonie      350.0\n",
              "\n",
              "[1 rows x 19 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 56
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dexmHWhW21IC",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}