Симулятор_заражения_вирусом.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNjPu3S/gRHzu9RhBIEHnnS",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Sinrez/PythonProjects/blob/main/%D0%A1%D0%B8%D0%BC%D1%83%D0%BB%D1%8F%D1%82%D0%BE%D1%80_%D0%B7%D0%B0%D1%80%D0%B0%D0%B6%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B2%D0%B8%D1%80%D1%83%D1%81%D0%BE%D0%BC.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "FA8yIhOM2zdG",
        "outputId": "c610fe95-3e35-4910-ae04-82559ee2b4bf"
      },
      "outputs": [
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "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": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAGzCAYAAAASUAGgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAX0klEQVR4nO3df2xV9f3H8Vdb7G2lP4TWFpAi6MiQtgpYfnYDDURHgOjYAJeSdOWbbdHWgjVkZQYYQyiYjXQrWi0TJJEKqCOCRjZWIz+EhtKCE6dUwuIKpC1Mdi/iuHS95/vHvvbrHb966X333luej+T80c89p+fN1fTJuYfeG+U4jiMAAIIsOtQDAAB6JgIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWDQY73yyiuKiorSoUOHLnts8ODBmj59ekDHWKmrq1NRUZEyMzPVu3dvDRo0SLNnz1ZjY+MV99+6davGjRun2267TSkpKZo0aZLeeeedbpsX6CwCA4TY6tWr9eabb2ry5Mn67W9/q5/+9Kfas2ePRo0apaNHj/rtW1FRoTlz5ig1NVWrVq3S4sWL5Xa7NX36dP3hD38I0Z8AuLJeoR4AuNmVlJSourpasbGxHWtz5sxRdna2Vq1apVdffbVjvaKiQqNHj9aOHTsUFRUlSZo3b57uuOMObdy4UTNnzuz2+YGr4QoGuI6//OUv+vGPf6y77rpLcXFx6tevn+bNm6d//OMffvv98pe/VFRU1GVbr17X/nvchAkT/OIiSUOHDlVmZqY++eQTv3WPx6O0tLSOuEhSUlKSEhISFB8f38U/KRBcXMEA17Fr1y6dOHFCBQUF6tevnz7++GNVVVXp448/Vm1trd8Pe0mqrKxUQkJCx9fR0YH/Pc5xHLW0tCgzM9Nv/YEHHtAbb7yhiooKzZgxQxcvXlRFRYXcbrfmz59/Y39AwAiBAa7jiSee0NNPP+23Nm7cOP3oRz/Svn379N3vftfvsR/+8IdKTU3t0jk3bdqkU6dO6Ve/+pXf+u9+9zudPXtWxcXFKi4uliSlpqaqpqZG48eP79I5gWDjJTLgOr750tPFixd19uxZjRs3TpLU0NAQ9PN9+umnKiws1Pjx45Wfn+/32K233qpvf/vbys/P1+uvv67169erf//+mjlzpo4fPx70WYCu4AoGuI4vvvhCy5Yt0+bNm9Xa2ur3mNvtDuq5mpubNW3aNCUnJ+uNN95QTEyM3+OzZs1Sr169tGPHjo61Rx55REOHDtUzzzyjLVu2BHUeoCsIDHAds2fP1v79+7Vw4UKNGDFCCQkJ8vl8+t73viefzxe087jdbk2dOlX//Oc/tXfvXg0YMMDv8RMnTmjnzp2qqqryW+/bt6++853v6IMPPgjaLEAwEBjgGs6dO6eamhotW7ZMS5Ys6Vj/7LPPgnqeixcvasaMGWpsbNSf//xnDR8+/LJ9WlpaJEnt7e2XPdbW1qZ///vfQZ0J6CruwQDX8PVLVI7j+K2Xl5cH7Rzt7e2aM2eODhw4oNdff/2qN+u/9a1vKTo6Wlu2bPGb5+TJk9q7d69GjhwZtJmAYOAKBj3e+vXrtXPnTr81t9ut48eP69lnn/VbP3z4sN/XSUlJmjhxop577jm1tbXpjjvu0J/+9Cf97W9/C9p8Tz/9tLZv364ZM2boiy++8PvFSkmaO3euJOn222/XvHnz9Pvf/16TJ0/WzJkzdf78eb3wwgv617/+pUWLFgVtJiAoHKCH2rBhgyPphra6urqO73Py5Enn+9//vnPbbbc5ycnJzqxZs5zTp087kpylS5d27Ld06VJHknPmzJmA5pw0adI1Z/mmtrY2p6KiwhkxYoSTkJDgJCQkOA8++KDz3nvvdem5AixEOc5/XfsDABAE3IMBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMNHtv2jp8/l0+vRpJSYmXvY5GgCA8OY4js6fP68BAwZc97OOuj0wp0+fVkZGRnefFgAQRE1NTRo4cOA19+n2wCQmJkqSZv/PO7oltnd3nx4A0AVtly5o68vTOn6WX0u3B+brl8Vuie2tWFfCdfYGAISjztzi4CY/AMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEzcUmOeff16DBw9WXFycxo4dq4MHDwZ7LgBAhAs4MFu2bFFJSYmWLl2qhoYG3XfffXr44YfV2tpqMR8AIEIFHJg1a9boJz/5iQoKCjR8+HC9+OKLuvXWW7V+/XqL+QAAESqgwFy6dEn19fWaMmXK/3+D6GhNmTJFBw4cuOIxXq9XHo/HbwMA9HwBBebs2bNqb29Xenq633p6erqam5uveExZWZmSk5M7Nj7NEgBuDub/imzRokVyu90dW1NTk/UpAQBhIKBPtExNTVVMTIxaWlr81ltaWtSvX78rHuNyueRyuW58QgBARAroCiY2Nlb333+/ampqOtZ8Pp9qamo0fvz4oA8HAIhcAV3BSFJJSYny8/OVk5OjMWPGqLy8XBcuXFBBQYHFfACACBVwYObMmaMzZ85oyZIlam5u1ogRI7Rz587LbvwDAG5uAQdGkoqKilRUVBTsWQAAPQjvRQYAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMBBSYsrIyjR49WomJiUpLS9Ojjz6qY8eOWc0GAIhgAQVm9+7dKiwsVG1trXbt2qW2tjY99NBDunDhgtV8AIAI1SuQnXfu3On39SuvvKK0tDTV19dr4sSJQR0MABDZAgrMf3O73ZKkvn37XnUfr9crr9fb8bXH4+nKKQEAEeKGb/L7fD4tWLBAubm5ysrKuup+ZWVlSk5O7tgyMjJu9JQAgAhyw4EpLCzU0aNHtXnz5mvut2jRIrnd7o6tqanpRk8JAIggN/QSWVFRkd5++23t2bNHAwcOvOa+LpdLLpfrhoYDAESugALjOI6efPJJbdu2Te+//76GDBliNRcAIMIFFJjCwkJVV1frrbfeUmJiopqbmyVJycnJio+PNxkQABCZAroHU1lZKbfbrQceeED9+/fv2LZs2WI1HwAgQgX8EhkAAJ3Be5EBAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAE10KzKpVqxQVFaUFCxYEaRwAQE9xw4Gpq6vTSy+9pHvvvTeY8wAAeogbCsyXX36pvLw8rVu3Tn369An2TACAHuCGAlNYWKhp06ZpypQp193X6/XK4/H4bQCAnq9XoAds3rxZDQ0Nqqur69T+ZWVlWrZsWcCDAQAiW0BXME1NTZo/f742bdqkuLi4Th2zaNEiud3ujq2pqemGBgUARJaArmDq6+vV2tqqUaNGday1t7drz549Wrt2rbxer2JiYvyOcblccrlcwZkWABAxAgrM5MmT9dFHH/mtFRQUaNiwYfr5z39+WVwAADevgAKTmJiorKwsv7XevXsrJSXlsnUAwM2N3+QHAJgI+F+R/bf3338/CGMAAHoarmAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACAiYADc+rUKc2dO1cpKSmKj49Xdna2Dh06ZDEbACCC9Qpk53Pnzik3N1cPPvig3n33Xd1+++367LPP1KdPH6v5AAARKqDArF69WhkZGdqwYUPH2pAhQ4I+FAAg8gX0Etn27duVk5OjWbNmKS0tTSNHjtS6deuueYzX65XH4/HbAAA9X0CBOXHihCorKzV06FD98Y9/1OOPP67i4mJt3LjxqseUlZUpOTm5Y8vIyOjy0ACA8BflOI7T2Z1jY2OVk5Oj/fv3d6wVFxerrq5OBw4cuOIxXq9XXq+342uPx6OMjAzlPf6+Yl0JXRgdANDdLnm/1KbKB+R2u5WUlHTNfQO6gunfv7+GDx/ut3bPPffo73//+1WPcblcSkpK8tsAAD1fQIHJzc3VsWPH/NYaGxt15513BnUoAEDkCygwTz31lGpra7Vy5UodP35c1dXVqqqqUmFhodV8AIAIFVBgRo8erW3btum1115TVlaWli9frvLycuXl5VnNBwCIUAH9HowkTZ8+XdOnT7eYBQDQg/BeZAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMBEQIFpb2/X4sWLNWTIEMXHx+vuu+/W8uXL5TiO1XwAgAjVK5CdV69ercrKSm3cuFGZmZk6dOiQCgoKlJycrOLiYqsZAQARKKDA7N+/X4888oimTZsmSRo8eLBee+01HTx40GQ4AEDkCuglsgkTJqimpkaNjY2SpA8//FD79u3T1KlTr3qM1+uVx+Px2wAAPV9AVzClpaXyeDwaNmyYYmJi1N7erhUrVigvL++qx5SVlWnZsmVdHhQAEFkCuoLZunWrNm3apOrqajU0NGjjxo369a9/rY0bN171mEWLFsntdndsTU1NXR4aABD+ArqCWbhwoUpLS/XYY49JkrKzs/X555+rrKxM+fn5VzzG5XLJ5XJ1fVIAQEQJ6Armq6++UnS0/yExMTHy+XxBHQoAEPkCuoKZMWOGVqxYoUGDBikzM1OHDx/WmjVrNG/ePKv5AAARKqDAVFRUaPHixXriiSfU2tqqAQMG6Gc/+5mWLFliNR8AIEIFFJjExESVl5ervLzcaBwAQE/Be5EBAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABO9uvuEjuNIktouXejuUwMAuujrn91f/yy/liinM3sF0cmTJ5WRkdGdpwQABFlTU5MGDhx4zX26PTA+n0+nT59WYmKioqKibvj7eDweZWRkqKmpSUlJSUGcsGfheeocnqfO4XnqnJ78PDmOo/Pnz2vAgAGKjr72XZZuf4ksOjr6utULRFJSUo/7D2iB56lzeJ46h+epc3rq85ScnNyp/bjJDwAwQWAAACYiNjAul0tLly6Vy+UK9Shhjeepc3ieOofnqXN4nv6j22/yAwBuDhF7BQMACG8EBgBggsAAAEwQGACACQIDADARsYF5/vnnNXjwYMXFxWns2LE6ePBgqEcKK2VlZRo9erQSExOVlpamRx99VMeOHQv1WGFt1apVioqK0oIFC0I9Stg5deqU5s6dq5SUFMXHxys7O1uHDh0K9Vhhpb29XYsXL9aQIUMUHx+vu+++W8uXL+/Um0L2VBEZmC1btqikpERLly5VQ0OD7rvvPj388MNqbW0N9WhhY/fu3SosLFRtba127dqltrY2PfTQQ7pwgXexvpK6ujq99NJLuvfee0M9Stg5d+6ccnNzdcstt+jdd9/VX//6V/3mN79Rnz59Qj1aWFm9erUqKyu1du1affLJJ1q9erWee+45VVRUhHq0kInI34MZO3asRo8erbVr10r6zxtoZmRk6Mknn1RpaWmIpwtPZ86cUVpamnbv3q2JEyeGepyw8uWXX2rUqFF64YUX9Oyzz2rEiBEqLy8P9Vhho7S0VB988IH27t0b6lHC2vTp05Wenq6XX365Y+0HP/iB4uPj9eqrr4ZwstCJuCuYS5cuqb6+XlOmTOlYi46O1pQpU3TgwIEQThbe3G63JKlv374hniT8FBYWatq0aX7/T+H/bd++XTk5OZo1a5bS0tI0cuRIrVu3LtRjhZ0JEyaopqZGjY2NkqQPP/xQ+/bt09SpU0M8Weh0+7spd9XZs2fV3t6u9PR0v/X09HR9+umnIZoqvPl8Pi1YsEC5ubnKysoK9ThhZfPmzWpoaFBdXV2oRwlbJ06cUGVlpUpKSvSLX/xCdXV1Ki4uVmxsrPLz80M9XtgoLS2Vx+PRsGHDFBMTo/b2dq1YsUJ5eXmhHi1kIi4wCFxhYaGOHj2qffv2hXqUsNLU1KT58+dr165diouLC/U4Ycvn8yknJ0crV66UJI0cOVJHjx7Viy++SGC+YevWrdq0aZOqq6uVmZmpI0eOaMGCBRowYMBN+zxFXGBSU1MVExOjlpYWv/WWlhb169cvRFOFr6KiIr399tvas2dPUD+Hpyeor69Xa2urRo0a1bHW3t6uPXv2aO3atfJ6vYqJiQnhhOGhf//+Gj58uN/aPffcozfffDNEE4WnhQsXqrS0VI899pgkKTs7W59//rnKyspu2sBE3D2Y2NhY3X///aqpqelY8/l8qqmp0fjx40M4WXhxHEdFRUXatm2b3nvvPQ0ZMiTUI4WdyZMn66OPPtKRI0c6tpycHOXl5enIkSPE5f/k5uZe9k/cGxsbdeedd4ZoovD01VdfXfYJjzExMfL5fCGaKPQi7gpGkkpKSpSfn6+cnByNGTNG5eXlunDhggoKCkI9WtgoLCxUdXW13nrrLSUmJqq5uVnSfz6JLj4+PsTThYfExMTL7kn17t1bKSkp3Kv6hqeeekoTJkzQypUrNXv2bB08eFBVVVWqqqoK9WhhZcaMGVqxYoUGDRqkzMxMHT58WGvWrNG8efNCPVroOBGqoqLCGTRokBMbG+uMGTPGqa2tDfVIYUXSFbcNGzaEerSwNmnSJGf+/PmhHiPs7Nixw8nKynJcLpczbNgwp6qqKtQjhR2Px+PMnz/fGTRokBMXF+fcddddzjPPPON4vd5QjxYyEfl7MACA8Bdx92AAAJGBwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACAif8FjCNrvZPIqecAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAGzCAYAAAASUAGgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAXtklEQVR4nO3de0zV9/3H8RegHNAisVpQFCpt7FTwWtQqmaspsTNK1mT1suBC8Zdla0GhNK64RZ2zipjNkIijxfTiUqg2a4zaX7RzLPVORNCuXio2Lh3Tou1qz6l0Hh3n/P7Yr2c988aR8+acg89H8k16Pny/ft8eG59+zxfOifJ6vV4BABBk0aEeAADQMxEYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQKDHuuNN95QVFSUjh49esPXhg0bptmzZwd0jJXGxkYVFRUpIyNDffv2VVpamubOnauWlpab7l9VVaWRI0fK4XBoyJAhKi0tVXt7e7fNC3RWr1APANzrKioqdPDgQc2ZM0djxoxRW1ubqqqqNGHCBDU0NCgzM9O374svvqh169bp6aefVnFxsU6dOqUNGzbo5MmTeu+990L4uwBuRGCAECstLVVdXZ1iY2N9a/PmzdPo0aO1du1avfnmm5KkTz/9VOvXr9ePf/xj/f73v/ft+8gjj2jRokXauXOncnNzu31+4FZ4iQy4g7/85S965pln9NBDDykuLk6DBg3SwoUL9Y9//MNvv1/96leKioq6YevV6/b/jps6dapfXCRp+PDhysjI0OnTp31rhw8f1r/+9S/Nnz/fb99vHm/ZsqUrv00g6LiCAe5gz549OnfunAoKCjRo0CCdPHlSNTU1OnnypBoaGhQVFeW3f3V1te677z7f4+jowP8d5/V6dfHiRWVkZPjW3G63JCk+Pt5v3z59+kiSmpqaAj4PYInAAHfw3HPP6YUXXvBbe+yxx/SjH/1IBw4c0He/+12/rz399NMaOHBgl85ZW1ur8+fP69e//rVv7Tvf+Y4k6eDBg5o+fbpvff/+/ZKk8+fPd+mcQLARGOAOvn3FcPXqVV25ckWPPfaYJKm5ufmGwHTVRx99pMLCQk2ZMkX5+fm+9QkTJmjy5MmqqKjQkCFDNH36dJ0+fVrPPvusevfurX/+859BnQPoKu7BAHfwxRdfqLi4WMnJyYqPj9cDDzyg9PR0SZLT6Qzqudra2jRr1iwlJibqD3/4g2JiYvy+/s4772js2LFauHCh0tPTlZubq7lz52r8+PF+L8sB4YArGOAO5s6dq0OHDmnJkiUaN26c7rvvPnk8Hn3/+9+Xx+MJ2nmcTqdmzpypL7/8Uvv371dKSsoN+wwZMkQHDhzQ2bNn1dbWpuHDh2vQoEFKSUnRI488ErRZgGAgMMBtXL58WfX19Vq5cqWWL1/uWz979mxQz3P16lXl5uaqpaVFf/rTnzRq1Kjb7j98+HANHz5cknTq1Cl9+umneuaZZ4I6E9BVBAa4jW9eovJ6vX7rlZWVQTtHR0eH5s2bp8OHD2v79u2aMmVKp4/1eDz6+c9/rj59+uhnP/tZ0GYCgoHAoMd77bXXtHv3br81p9Opjz/+WC+99JLf+rFjx/we9+vXT9OmTdO6det0/fp1DRkyRH/84x/117/+NWjzvfDCC9qxY4dyc3P1xRdf+H6w8hsLFizw/XdxcbGuXr2qcePG6fr166qrq9ORI0e0efNmpaWlBW0mIBgIDHq86urqm65/+eWXWrZs2R2Pr6ur06JFi7Rx40Z5vV7NmDFDu3btuuk9krtx/PhxSdLOnTu1c+fOG77+7cCMHz9elZWVqq2tVXR0tCZNmqT6+nq/b1sGwkWU97+v/QEACAK+TRkAYILAAABMEBgAgAkCAwAwQWAAACYIDADARLf/HIzH49GFCxeUkJBww+doAADCm9fr1VdffaWUlJQ7ftZRtwfmwoULSk1N7e7TAgCCqLW1VUOHDr3tPt0emISEBEnS3P/5X/WO7dvdpwcAdMH1a+16+9VZvr/Lb6fbA/PNy2K9Y/sq1sHnVwBAJOrMLQ5u8gMATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBxV4HZuHGjhg0bpri4OE2ePFlHjhwJ9lwAgAgXcGC2bt2q0tJSrVixQs3NzRo7dqyefPJJXbp0yWI+AECECjgw69ev109+8hMVFBRo1KhRevnll9WnTx+99tprFvMBACJUQIG5du2ampqalJOT859fIDpaOTk5Onz48E2PcbvdcrlcfhsAoOcLKDCff/65Ojo6lJyc7LeenJystra2mx5TXl6uxMRE38anWQLAvcH8u8iWLl0qp9Pp21pbW61PCQAIAwF9ouXAgQMVExOjixcv+q1fvHhRgwYNuukxDodDDofj7icEAESkgK5gYmNj9eijj6q+vt635vF4VF9frylTpgR9OABA5AroCkaSSktLlZ+fr6ysLE2aNEmVlZVqb29XQUGBxXwAgAgVcGDmzZunzz77TMuXL1dbW5vGjRun3bt333DjHwBwbws4MJJUVFSkoqKiYM8CAOhBeC8yAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYCKgwJSXl2vixIlKSEhQUlKSnnrqKZ05c8ZqNgBABAsoMHv37lVhYaEaGhq0Z88eXb9+XTNmzFB7e7vVfACACNUrkJ13797t9/iNN95QUlKSmpqaNG3atKAOBgCIbAEF5r85nU5J0v3333/Lfdxut9xut++xy+XqyikBABHirm/yezwelZSUKDs7W5mZmbfcr7y8XImJib4tNTX1bk8JAIggdx2YwsJCnThxQlu2bLntfkuXLpXT6fRtra2td3tKAEAEuauXyIqKivTuu+9q3759Gjp06G33dTgccjgcdzUcACByBRQYr9erRYsWadu2bXr//feVnp5uNRcAIMIFFJjCwkLV1dVp+/btSkhIUFtbmyQpMTFR8fHxJgMCACJTQPdgqqur5XQ69fjjj2vw4MG+bevWrVbzAQAiVMAvkQEA0Bm8FxkAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAw0aXArF27VlFRUSopKQnSOACAnuKuA9PY2KhXXnlFY8aMCeY8AIAe4q4Cc+XKFeXl5WnTpk3q379/sGcCAPQAdxWYwsJCzZo1Szk5OXfc1+12y+Vy+W0AgJ6vV6AHbNmyRc3NzWpsbOzU/uXl5Vq5cmXAgwEAIltAVzCtra0qLi5WbW2t4uLiOnXM0qVL5XQ6fVtra+tdDQoAiCwBXcE0NTXp0qVLmjBhgm+to6ND+/btU1VVldxut2JiYvyOcTgccjgcwZkWABAxAgrME088oQ8//NBvraCgQCNGjNCLL754Q1wAAPeugAKTkJCgzMxMv7W+fftqwIABN6wDAO5t/CQ/AMBEwN9F9t/ef//9IIwBAOhpuIIBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJgIOzPnz57VgwQINGDBA8fHxGj16tI4ePWoxGwAggvUKZOfLly8rOztb06dP165du/TAAw/o7Nmz6t+/v9V8AIAIFVBgKioqlJqaqtdff923lp6eHvShAACRL6CXyHbs2KGsrCzNmTNHSUlJGj9+vDZt2nTbY9xut1wul98GAOj5AgrMuXPnVF1dreHDh+u9997Ts88+q8WLF2vz5s23PKa8vFyJiYm+LTU1tctDAwDCX5TX6/V2dufY2FhlZWXp0KFDvrXFixersbFRhw8fvukxbrdbbrfb99jlcik1NVV5z76vWMd9XRgdANDdrrmvqLb6cTmdTvXr1++2+wZ0BTN48GCNGjXKb23kyJH629/+dstjHA6H+vXr57cBAHq+gAKTnZ2tM2fO+K21tLTowQcfDOpQAIDIF1Bgnn/+eTU0NGjNmjX6+OOPVVdXp5qaGhUWFlrNBwCIUAEFZuLEidq2bZveeustZWZmatWqVaqsrFReXp7VfACACBXQz8FI0uzZszV79myLWQAAPQjvRQYAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMBBSYjo4OLVu2TOnp6YqPj9fDDz+sVatWyev1Ws0HAIhQvQLZuaKiQtXV1dq8ebMyMjJ09OhRFRQUKDExUYsXL7aaEQAQgQIKzKFDh/SDH/xAs2bNkiQNGzZMb731lo4cOWIyHAAgcgX0EtnUqVNVX1+vlpYWSdIHH3ygAwcOaObMmbc8xu12y+Vy+W0AgJ4voCuYsrIyuVwujRgxQjExMero6NDq1auVl5d3y2PKy8u1cuXKLg8KAIgsAV3BvP3226qtrVVdXZ2am5u1efNm/eY3v9HmzZtveczSpUvldDp9W2tra5eHBgCEv4CuYJYsWaKysjLNnz9fkjR69Gh98sknKi8vV35+/k2PcTgccjgcXZ8UABBRArqC+frrrxUd7X9ITEyMPB5PUIcCAES+gK5gcnNztXr1aqWlpSkjI0PHjh3T+vXrtXDhQqv5AAARKqDAbNiwQcuWLdNzzz2nS5cuKSUlRT/96U+1fPlyq/kAABEqoMAkJCSosrJSlZWVRuMAAHoK3osMAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAIAJAgMAMEFgAAAmCAwAwASBAQCYIDAAABMEBgBggsAAAEwQGACACQIDADBBYAAAJggMAMAEgQEAmCAwAAATBAYAYILAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJjo1d0n9Hq9kqTr19q7+9QAgC765u/ub/4uv50ob2f2CqK///3vSk1N7c5TAgCCrLW1VUOHDr3tPt0eGI/HowsXLighIUFRUVF3/eu4XC6lpqaqtbVV/fr1C+KEPQvPU+fwPHUOz1Pn9OTnyev16quvvlJKSoqio29/l6XbXyKLjo6+Y/UC0a9fvx73B2iB56lzeJ46h+epc3rq85SYmNip/bjJDwAwQWAAACYiNjAOh0MrVqyQw+EI9Shhjeepc3ieOofnqXN4nv6t22/yAwDuDRF7BQMACG8EBgBggsAAAEwQGACACQIDADARsYHZuHGjhg0bpri4OE2ePFlHjhwJ9Uhhpby8XBMnTlRCQoKSkpL01FNP6cyZM6EeK6ytXbtWUVFRKikpCfUoYef8+fNasGCBBgwYoPj4eI0ePVpHjx4N9VhhpaOjQ8uWLVN6erri4+P18MMPa9WqVZ16U8ieKiIDs3XrVpWWlmrFihVqbm7W2LFj9eSTT+rSpUuhHi1s7N27V4WFhWpoaNCePXt0/fp1zZgxQ+3tvIv1zTQ2NuqVV17RmDFjQj1K2Ll8+bKys7PVu3dv7dq1S6dOndJvf/tb9e/fP9SjhZWKigpVV1erqqpKp0+fVkVFhdatW6cNGzaEerSQicifg5k8ebImTpyoqqoqSf9+A83U1FQtWrRIZWVlIZ4uPH322WdKSkrS3r17NW3atFCPE1auXLmiCRMm6He/+51eeukljRs3TpWVlaEeK2yUlZXp4MGD2r9/f6hHCWuzZ89WcnKyXn31Vd/aD3/4Q8XHx+vNN98M4WShE3FXMNeuXVNTU5NycnJ8a9HR0crJydHhw4dDOFl4czqdkqT7778/xJOEn8LCQs2aNcvv/yn8x44dO5SVlaU5c+YoKSlJ48eP16ZNm0I9VtiZOnWq6uvr1dLSIkn64IMPdODAAc2cOTPEk4VOt7+bcld9/vnn6ujoUHJyst96cnKyPvrooxBNFd48Ho9KSkqUnZ2tzMzMUI8TVrZs2aLm5mY1NjaGepSwde7cOVVXV6u0tFS/+MUv1NjYqMWLFys2Nlb5+fmhHi9slJWVyeVyacSIEYqJiVFHR4dWr16tvLy8UI8WMhEXGASusLBQJ06c0IEDB0I9SlhpbW1VcXGx9uzZo7i4uFCPE7Y8Ho+ysrK0Zs0aSdL48eN14sQJvfzyywTmW95++23V1taqrq5OGRkZOn78uEpKSpSSknLPPk8RF5iBAwcqJiZGFy9e9Fu/ePGiBg0aFKKpwldRUZHeffdd7du3L6ifw9MTNDU16dKlS5owYYJvraOjQ/v27VNVVZXcbrdiYmJCOGF4GDx4sEaNGuW3NnLkSL3zzjshmig8LVmyRGVlZZo/f74kafTo0frkk09UXl5+zwYm4u7BxMbG6tFHH1V9fb1vzePxqL6+XlOmTAnhZOHF6/WqqKhI27Zt05///Gelp6eHeqSw88QTT+jDDz/U8ePHfVtWVpby8vJ0/Phx4vL/srOzb/gW95aWFj344IMhmig8ff311zd8wmNMTIw8Hk+IJgq9iLuCkaTS0lLl5+crKytLkyZNUmVlpdrb21VQUBDq0cJGYWGh6urqtH37diUkJKitrU3Svz+JLj4+PsTThYeEhIQb7kn17dtXAwYM4F7Vtzz//POaOnWq1qxZo7lz5+rIkSOqqalRTU1NqEcLK7m5uVq9erXS0tKUkZGhY8eOaf369Vq4cGGoRwsdb4TasGGDNy0tzRsbG+udNGmSt6GhIdQjhRVJN91ef/31UI8W1r73ve95i4uLQz1G2Nm5c6c3MzPT63A4vCNGjPDW1NSEeqSw43K5vMXFxd60tDRvXFyc96GHHvL+8pe/9Lrd7lCPFjIR+XMwAIDwF3H3YAAAkYHAAABMEBgAgAkCAwAwQWAAACYIDADABIEBAJggMAAAEwQGAGCCwAAATBAYAICJ/wNSVotpzkHu0wAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Настройки симуляции\n",
        "size = 10  # Размер среды\n",
        "initial_viruses = 3  # Начальное количество вирусов\n",
        "infection_prob = 0.3  # Вероятность заражения клетки вирусом\n",
        "reproduction_rate = 2  # Количество новых вирусов от одной зараженной клетки\n",
        "max_steps = 30  # Максимальное количество шагов симуляции\n",
        "\n",
        "# Инициализация среды\n",
        "environment = np.zeros((size, size), dtype=int)\n",
        "\n",
        "# Размещаем начальные вирусы\n",
        "for _ in range(initial_viruses):\n",
        "    x, y = np.random.randint(0, size, 2)\n",
        "    environment[x, y] = 1\n",
        "\n",
        "# Функция для отображения среды\n",
        "def plot_environment(env, step):\n",
        "    plt.imshow(env, cmap='coolwarm', alpha=0.8)\n",
        "    plt.title(f\"Шаг {step}\")\n",
        "    plt.show()\n",
        "\n",
        "# Симуляция\n",
        "for step in range(1, max_steps + 1):\n",
        "    new_viruses = []\n",
        "    for x in range(size):\n",
        "        for y in range(size):\n",
        "            if environment[x, y] == 0 and np.random.random() < infection_prob:\n",
        "                environment[x, y] = 1\n",
        "            elif environment[x, y] == 1:\n",
        "                for _ in range(reproduction_rate):\n",
        "                    dx, dy = np.random.choice([-1, 0, 1]), np.random.choice([-1, 0, 1])\n",
        "                    new_x, new_y = (x + dx) % size, (y + dy) % size\n",
        "                    new_viruses.append((new_x, new_y))\n",
        "    for x, y in new_viruses:\n",
        "        environment[x, y] = 1\n",
        "    plot_environment(environment, step)"
      ]
    }
  ]
}