{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "**Task 1.** Solve the optimization problem, using **genetic algorithm:**"
      ],
      "metadata": {
        "id": "p7SaYmMoMqBK"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "JuDtzkwHC8gL"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "1. Plot the graph of the function. Make some assumptions about the minimum of the function."
      ],
      "metadata": {
        "id": "NamhjdvYObIK"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "2. Solve the problem, using the algorithm proposed in the lecture"
      ],
      "metadata": {
        "id": "vnLirxJsM5H9"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "3. Solve the problem, using ready-made libraries (for example, DEAP (Distributed Evolutionary Algorithms in Python) or PyGAD)"
      ],
      "metadata": {
        "id": "UhMF8WrzOzRi"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "4. Explain the results obtained"
      ],
      "metadata": {
        "id": "Nuxt1u-nHN16"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Task 2.** Solve the traveling salesman problem, using ant colony optimization:"
      ],
      "metadata": {
        "id": "wUjZPvZtH9m_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "4hVu-DI4HpBA"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Solve the problem, using the algorithm proposed in the lecture. Explain the results obtained"
      ],
      "metadata": {
        "id": "_tuM4EBPICzC"
      }
    }
  ]
}