{
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from scipy.spatial.distance import euclidean, cityblock\n",
        "\n",
        "# Define the points (using lists to define the points)\n",
        "point1 = np.array([1, 2])  # Example coordinates for point1\n",
        "point2 = np.array([4, 6])  # Example coordinates for point2\n",
        "\n",
        "# Calculate Euclidean distance using scipy.spatial.distance.euclidean\n",
        "euclidean_distance = euclidean(point1, point2)\n",
        "\n",
        "# Calculate Manhattan distance using scipy.spatial.distance.cityblock\n",
        "manhattan_distance = cityblock(point1, point2)\n",
        "\n",
        "# Create the plot\n",
        "plt.figure(figsize=(6, 6))\n",
        "plt.plot(point1[0], point1[1], 'ro', label='Point 1')  # Plot point1 using its coordinates\n",
        "plt.plot(point2[0], point2[1], 'bo', label='Point 2')  # Plot point2 using its coordinates\n",
        "\n",
        "# Plot Euclidean distance\n",
        "plt.plot([point1[0], point2[0]], [point1[1], point2[1]], 'g-', label='Euclidean Distance')\n",
        "\n",
        "# Plot Manhattan distance\n",
        "plt.plot([point1[0], point2[0]], [point1[1], point1[1]], 'r--', label='Manhattan Distance (horizontal)')\n",
        "plt.plot([point2[0], point2[0]], [point1[1], point2[1]], 'r--', label='Manhattan Distance (vertical)')\n",
        "\n",
        "# Add labels and title\n",
        "plt.xlabel('X-axis')\n",
        "plt.ylabel('Y-axis')\n",
        "plt.title('Euclidean vs. Manhattan Distance')\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "\n",
        "# Add text with calculated distances\n",
        "plt.text(2.5, 3.5, f'Euclidean Distance: {euclidean_distance:.2f}', color='g')\n",
        "plt.text(2.5, 1.5, f'Manhattan Distance: {manhattan_distance:.2f}', color='r')\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "ht6rG7jdbQek",
        "outputId": "978ea074-533b-4aa2-e574-ddc1ac53c623"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "This code will:\n",
        "\n",
        "1. **Import necessary libraries:** `matplotlib.pyplot` for plotting and `numpy` for numerical operations.\n",
        "2. **Define two points:** `point1` and `point2`.\n",
        "3. **Calculate Euclidean distance:** Using `np.linalg.norm()`.\n",
        "4. **Calculate Manhattan distance:** Using `np.sum()` and `np.abs()`.\n",
        "5. **Create a plot:**\n",
        "   - Plot the two points as red and blue dots.\n",
        "   - Plot the Euclidean distance as a green line connecting the points.\n",
        "   - Plot the Manhattan distance as red dashed lines, showing the horizontal and vertical components.\n",
        "   - Add labels, title, legend, and grid for clarity.\n",
        "   - Display the calculated distances as text on the plot.\n",
        "6. **Show the plot:** Using `plt.show()`.\n",
        "\n",
        "This visualization will effectively demonstrate the difference between Euclidean and Manhattan distances. The Euclidean distance is the straight-line distance between the points, while the Manhattan distance is the sum of the horizontal and vertical distances traveled, like moving along city blocks.\n",
        "\n",
        "This visual representation, along with the code, will help in understanding these distance measures better. You can experiment by changing the coordinates of the points to see how the distances change accordingly."
      ],
      "metadata": {
        "id": "UOytVtBRbQen"
      }
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}