Part3_Neural_Network_QLearning.ipynb

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      "name": "Part3_Neural_Network_QLearning.ipynb",
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
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      "source": [
        "<a href=\"https://colab.research.google.com/github/gayathrig269/CMPE260_Rfmt_Learning_TicTacToe/blob/main/Part3_Neural_Network_QLearning.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "T8QK3vvyFSlZ"
      },
      "source": [
        "#A Neural Network to play Tic Tac Toe\n",
        "\n",
        "To train a Neural Network to play Tic Tac Toe, the following are defined:"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UHLfBRlGFY2t"
      },
      "source": [
        "1. The Topology of the neural network, i.e. how do the input and output layers look like. How many hidden layers and how big?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PsQYkYW5Fb_h"
      },
      "source": [
        "2. A loss function. The loss function will take the output of the Neural Network and return a value indicating how good that output was."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bXEj2rDMFeLF"
      },
      "source": [
        "3.     A training part which will try to adjust the weights in the Neural Network as to minimize the loss function."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ewG5MV7vGgjF"
      },
      "source": [
        "##Tic Tac Toe Q-learning Graph"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XmsAixb-Gz-Q"
      },
      "source": [
        "For the Neural Network Tic Tac Toe agent, our graph will have the follwing things:\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kuo4PJoCGqUh"
      },
      "source": [
        "  1. An input layer which takes a game state, i.e. the current board, as input.\n",
        "  2. One or more hidden layer.\n",
        "  3. An output layer which will output the Q value for all possible moves in that game state.\n",
        "  4. We use Mean Squared Error as our loss function, which is a generic and popular loss function for regression, i.e. learning to mimic another function.\n",
        "  5. The input for the loss function will be the output of the Neural Network and our updated estimate of the Q function by applying the discounted rewards and maximum Q values of the next states. i.e. the loss will be the difference between the output of the Neural Network and our updated estimate of the Q function.\n",
        "  6. We use the Gradient Descent Optimizer for training — i.e. to adjust the weights in the Neural Network. \n",
        "  7. We use ReLu activation function."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8aJ2c3-nbtWV"
      },
      "source": [
        "Files used :\n",
        "\n",
        "*   SimpleNNQPlayer.py\n",
        "*   util.py\n",
        "*   Board.py\n",
        "*   Player.py\n",
        "*   TFSessionManager.py\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fNQCtc-yIjjt"
      },
      "source": [
        "#Demonstration code of Neural Network Player playing TTT game starts here"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Qc4J5_2OFRJ-",
        "outputId": "1b8dfb14-1412-4cb8-cc74-5c4c78b8ad04"
      },
      "source": [
        "#Mounting the google drive contents of TIC-TAC_TOE code \n",
        "from google.colab import drive\n",
        "\n",
        "drive.mount('/content/gdrive')\n",
        "root_path = 'gdrive/My Drive/tic_tac_toe_master/'"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/gdrive\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yN_bffVNFXcL",
        "outputId": "90b6467e-b777-4e09-fd3d-b47d22c9447f"
      },
      "source": [
        "%cd /content/gdrive/My\\ Drive/tic_tac_toe_master/"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/content/gdrive/My Drive/tic_tac_toe_master\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9ehRK_bkhXWQ"
      },
      "source": [
        "#installing the required version of Tensorflow\n",
        "!pip install tensorflow==1.15.0"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bHsTF8C8MnIk"
      },
      "source": [
        "Testing our Neural Network player against other players"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KcdC4Or0Mjsj"
      },
      "source": [
        "from Board import Board\n",
        "from util import battle\n",
        "from Player import Player\n",
        "from TFSessionManager import TFSessionManager\n",
        "import tensorflow as tf\n",
        "\n",
        "#Defining evaluate_players function\n",
        "#This function accepts 2 players as arguemnts and plots a graph showing their performance for 100 games.\n",
        "def evaluate_players(p1 : Player, p2 : Player, games_per_battle = 100, num_battles = 100,loc='best'):\n",
        "    board = Board()\n",
        "\n",
        "    p1_wins = []\n",
        "    p2_wins = []\n",
        "    draws = []\n",
        "    game_number = []\n",
        "    game_counter = 0\n",
        "\n",
        "    TFSessionManager.set_session(tf.Session())\n",
        "    TFSessionManager.get_session().run(tf.global_variables_initializer())\n",
        "\n",
        "    for i in range (num_battles):\n",
        "        p1win, p2win, draw = battle(p1, p2, games_per_battle, False)\n",
        "        p1_wins.append(p1win)\n",
        "        p2_wins.append(p2win)\n",
        "        draws.append(draw)\n",
        "        game_counter=game_counter+1\n",
        "        game_number.append(game_counter)\n",
        "\n",
        "    plt.ylabel('Game outcomes in %')\n",
        "    plt.xlabel('Game number')\n",
        "\n",
        "    plt.plot(game_number, draws, 'r-', label='Draw')\n",
        "    plt.plot(game_number, p1_wins, 'g-', label='Player 1 wins')\n",
        "    plt.plot(game_number, p2_wins, 'b-', label='Player 2 wins')\n",
        "    plt.legend(loc=loc, shadow=True, fancybox=True, framealpha =0.7)\n",
        "\n",
        "    TFSessionManager.set_session(None)\n",
        "    return game_number, p1_wins, p2_wins, draws"
      ],
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fuSeah8XNRHJ"
      },
      "source": [
        "#1. Against the Random Player"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dO_T086sNY_5"
      },
      "source": [
        "Player 1 will be our Neural Network player, and Player 2 will be the Random Player. We assume it should be easy for the Neural Network player to win most games, but we hope it will learn to win much more than we would expect from a Random Player playing first."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "b78f24coNCh3",
        "outputId": "da962193-2a74-43f4-ae9e-aa8e4f45947b"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from RandomPlayer import RandomPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, rndplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Random Player\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 12, Player 1 wins: 47, and Player 2 wins: 41.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 47.00%, and Player 2 wins:  41.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 74, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 74.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 74, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 74.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 74, and Player 2 wins: 21.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 74.00%, and Player 2 wins:  21.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 80, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 80.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 74, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 74.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 73, and Player 2 wins: 22.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 73.00%, and Player 2 wins:  22.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 79, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 79.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 77, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 77.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 77, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 77.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 78, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 78.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 79, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 79.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 80, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 80.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 86, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 86.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 83, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 83.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 77, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 77.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 75, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 75.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 79, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 79.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 74, and Player 2 wins: 22.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 74.00%, and Player 2 wins:  22.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 83, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 83.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 85, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 85.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 81, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 81.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 82, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 82.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 89, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 89.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 76, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 76.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 80, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 80.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 73, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 73.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 77, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 77.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 79, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 79.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 86, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 86.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 87, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 87.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 79, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 79.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 79, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 79.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 88, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 88.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 87, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 87.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 82, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 82.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 74, and Player 2 wins: 21.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 74.00%, and Player 2 wins:  21.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 85, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 85.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 86, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 86.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 81, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 81.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 85, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 85.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 79, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 79.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 75, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 75.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 83, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 83.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 76, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 76.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 84, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 84.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 81, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 81.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 78, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 78.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 70, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 70.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 82, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 82.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 88, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 88.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 88, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 88.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 83, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 83.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 84, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 84.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 82, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 82.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 76, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 76.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 82, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 82.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 84, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 84.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 84, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 84.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 86, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 86.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 87, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 87.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 79, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 79.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 83, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 83.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 85, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 85.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 80, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 80.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 82, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 82.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 82, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 82.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 78, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 78.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 84, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 84.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 88, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 88.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 87, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 87.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 82, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 82.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 89, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 89.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 80, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 80.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 81, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 81.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 79, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 79.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 81, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 81.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 93, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 93.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 85, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 85.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 87, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 87.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 84, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 84.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 75, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 75.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 89, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 89.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 81, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 81.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 76, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 76.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 85, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 85.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 87, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 87.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 88, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 88.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 84, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 84.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 82, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 82.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 85, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 85.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 81, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 81.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 85, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 85.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 78, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 78.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 89, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 89.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 82, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 82.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 82, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 82.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 83, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 83.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 83, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 83.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 81, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 81.00%, and Player 2 wins:  13.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jV4jp-XiNjg3"
      },
      "source": [
        "Observation: \n",
        "\n",
        "Since there are some non-deterministic parts in this, the results will vary to a degree, but we see the Neural Network player improve its game over time, in the end winning the vast majority of games. In particular it should win significantly more games than the Random Player. For many executions it ended up winning about 90% of games on average in the end and lose less than 10%.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7e4RcNEoNnu8"
      },
      "source": [
        "Neural Network Player goes second"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "R5m4D0XMNtd8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "fdd20081-68e6-4c4c-afea-845a4519afaa"
      },
      "source": [
        "tf.reset_default_graph()    \n",
        "\n",
        "rndplayer = RandomPlayer() #Player1\n",
        "nnplayer = NNQPlayer(\"QLearner1\") #Player2\n",
        "\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(rndplayer, nnplayer)\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Random Player\")\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 15, Player 1 wins: 55, and Player 2 wins: 30.\n",
            "Which gives percentages of draws: 15.00%, Player 1 wins: 55.00%, and Player 2 wins:  30.00%\n",
            "After 100 game we have draws: 20, Player 1 wins: 48, and Player 2 wins: 32.\n",
            "Which gives percentages of draws: 20.00%, Player 1 wins: 48.00%, and Player 2 wins:  32.00%\n",
            "After 100 game we have draws: 15, Player 1 wins: 41, and Player 2 wins: 44.\n",
            "Which gives percentages of draws: 15.00%, Player 1 wins: 41.00%, and Player 2 wins:  44.00%\n",
            "After 100 game we have draws: 18, Player 1 wins: 38, and Player 2 wins: 44.\n",
            "Which gives percentages of draws: 18.00%, Player 1 wins: 38.00%, and Player 2 wins:  44.00%\n",
            "After 100 game we have draws: 15, Player 1 wins: 39, and Player 2 wins: 46.\n",
            "Which gives percentages of draws: 15.00%, Player 1 wins: 39.00%, and Player 2 wins:  46.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 31, and Player 2 wins: 58.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 31.00%, and Player 2 wins:  58.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 31, and Player 2 wins: 59.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 31.00%, and Player 2 wins:  59.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 35, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 35.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 42, and Player 2 wins: 46.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 42.00%, and Player 2 wins:  46.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 40, and Player 2 wins: 49.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 40.00%, and Player 2 wins:  49.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 38, and Player 2 wins: 50.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 38.00%, and Player 2 wins:  50.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 34, and Player 2 wins: 52.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 34.00%, and Player 2 wins:  52.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 35, and Player 2 wins: 55.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 35.00%, and Player 2 wins:  55.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 34, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 34.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 21, Player 1 wins: 39, and Player 2 wins: 40.\n",
            "Which gives percentages of draws: 21.00%, Player 1 wins: 39.00%, and Player 2 wins:  40.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 31, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 31.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 34, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 34.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 17, Player 1 wins: 38, and Player 2 wins: 45.\n",
            "Which gives percentages of draws: 17.00%, Player 1 wins: 38.00%, and Player 2 wins:  45.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 36, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 36.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 16, Player 1 wins: 30, and Player 2 wins: 54.\n",
            "Which gives percentages of draws: 16.00%, Player 1 wins: 30.00%, and Player 2 wins:  54.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 33, and Player 2 wins: 58.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 33.00%, and Player 2 wins:  58.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 36, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 36.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 32, and Player 2 wins: 54.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 32.00%, and Player 2 wins:  54.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 37, and Player 2 wins: 50.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 37.00%, and Player 2 wins:  50.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 38, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 38.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 41, and Player 2 wins: 52.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 41.00%, and Player 2 wins:  52.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 38, and Player 2 wins: 49.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 38.00%, and Player 2 wins:  49.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 27, and Player 2 wins: 62.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 27.00%, and Player 2 wins:  62.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 42, and Player 2 wins: 49.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 42.00%, and Player 2 wins:  49.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 40, and Player 2 wins: 50.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 40.00%, and Player 2 wins:  50.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 37, and Player 2 wins: 57.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 37.00%, and Player 2 wins:  57.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 34, and Player 2 wins: 57.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 34.00%, and Player 2 wins:  57.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 37, and Player 2 wins: 50.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 37.00%, and Player 2 wins:  50.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 39, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 39.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 32, and Player 2 wins: 61.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 32.00%, and Player 2 wins:  61.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 43, and Player 2 wins: 54.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 43.00%, and Player 2 wins:  54.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 32, and Player 2 wins: 61.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 32.00%, and Player 2 wins:  61.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 40, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 40.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 32, and Player 2 wins: 57.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 32.00%, and Player 2 wins:  57.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 31, and Player 2 wins: 66.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 31.00%, and Player 2 wins:  66.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 40, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 40.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 38, and Player 2 wins: 49.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 38.00%, and Player 2 wins:  49.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 36, and Player 2 wins: 59.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 36.00%, and Player 2 wins:  59.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 34, and Player 2 wins: 61.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 34.00%, and Player 2 wins:  61.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 42, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 42.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 43, and Player 2 wins: 53.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 43.00%, and Player 2 wins:  53.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 41, and Player 2 wins: 57.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 41.00%, and Player 2 wins:  57.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 34, and Player 2 wins: 63.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 34.00%, and Player 2 wins:  63.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 39, and Player 2 wins: 59.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 39.00%, and Player 2 wins:  59.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 33, and Player 2 wins: 64.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 33.00%, and Player 2 wins:  64.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 35, and Player 2 wins: 63.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 35.00%, and Player 2 wins:  63.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 28, and Player 2 wins: 67.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 28.00%, and Player 2 wins:  67.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 43, and Player 2 wins: 56.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 43.00%, and Player 2 wins:  56.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 31, and Player 2 wins: 64.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 31.00%, and Player 2 wins:  64.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 26, and Player 2 wins: 69.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 26.00%, and Player 2 wins:  69.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 36, and Player 2 wins: 61.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 36.00%, and Player 2 wins:  61.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 30, and Player 2 wins: 65.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 30.00%, and Player 2 wins:  65.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 28, and Player 2 wins: 67.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 28.00%, and Player 2 wins:  67.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 39, and Player 2 wins: 59.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 39.00%, and Player 2 wins:  59.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 30, and Player 2 wins: 69.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 30.00%, and Player 2 wins:  69.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 30, and Player 2 wins: 65.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 30.00%, and Player 2 wins:  65.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 35, and Player 2 wins: 63.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 35.00%, and Player 2 wins:  63.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 32, and Player 2 wins: 66.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 32.00%, and Player 2 wins:  66.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 37, and Player 2 wins: 60.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 37.00%, and Player 2 wins:  60.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 25, and Player 2 wins: 69.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 25.00%, and Player 2 wins:  69.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 31, and Player 2 wins: 66.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 31.00%, and Player 2 wins:  66.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 29, and Player 2 wins: 68.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 29.00%, and Player 2 wins:  68.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 32, and Player 2 wins: 63.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 32.00%, and Player 2 wins:  63.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 23, and Player 2 wins: 71.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 23.00%, and Player 2 wins:  71.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 28, and Player 2 wins: 72.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 28.00%, and Player 2 wins:  72.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 29, and Player 2 wins: 70.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 29.00%, and Player 2 wins:  70.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 37, and Player 2 wins: 62.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 37.00%, and Player 2 wins:  62.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 30, and Player 2 wins: 67.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 30.00%, and Player 2 wins:  67.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 23, and Player 2 wins: 73.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 23.00%, and Player 2 wins:  73.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 23, and Player 2 wins: 75.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 23.00%, and Player 2 wins:  75.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 23, and Player 2 wins: 74.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 23.00%, and Player 2 wins:  74.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 26, and Player 2 wins: 70.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 26.00%, and Player 2 wins:  70.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 30, and Player 2 wins: 63.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 30.00%, and Player 2 wins:  63.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 33, and Player 2 wins: 64.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 33.00%, and Player 2 wins:  64.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 38, and Player 2 wins: 58.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 38.00%, and Player 2 wins:  58.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 35, and Player 2 wins: 62.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 35.00%, and Player 2 wins:  62.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 26, and Player 2 wins: 71.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 26.00%, and Player 2 wins:  71.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 37, and Player 2 wins: 62.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 37.00%, and Player 2 wins:  62.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 26, and Player 2 wins: 69.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 26.00%, and Player 2 wins:  69.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 38, and Player 2 wins: 60.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 38.00%, and Player 2 wins:  60.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 29, and Player 2 wins: 71.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 29.00%, and Player 2 wins:  71.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 28, and Player 2 wins: 69.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 28.00%, and Player 2 wins:  69.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 21, and Player 2 wins: 78.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 21.00%, and Player 2 wins:  78.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 24, and Player 2 wins: 73.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 24.00%, and Player 2 wins:  73.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 27, and Player 2 wins: 70.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 27.00%, and Player 2 wins:  70.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 29, and Player 2 wins: 68.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 29.00%, and Player 2 wins:  68.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 26, and Player 2 wins: 71.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 26.00%, and Player 2 wins:  71.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 36, and Player 2 wins: 64.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 36.00%, and Player 2 wins:  64.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 31, and Player 2 wins: 65.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 31.00%, and Player 2 wins:  65.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 37, and Player 2 wins: 61.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 37.00%, and Player 2 wins:  61.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 27, and Player 2 wins: 72.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 27.00%, and Player 2 wins:  72.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 38, and Player 2 wins: 59.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 38.00%, and Player 2 wins:  59.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 27, and Player 2 wins: 72.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 27.00%, and Player 2 wins:  72.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 30, and Player 2 wins: 68.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 30.00%, and Player 2 wins:  68.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 29, and Player 2 wins: 68.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 29.00%, and Player 2 wins:  68.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FalyU1weN0tB"
      },
      "source": [
        "Observation:\n",
        "\n",
        "Again, the Neural Network player improves its game over time. It typically started to beat the Random Player more often than it lost after about 20 battles and in the end would win about 80% of the games and lose around 20%.\n",
        "\n",
        "In both cases, the player does not play draws very often. In fact they happen much less often than during pure random play."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mQkdSM9POCDY"
      },
      "source": [
        "#2. Against the (deterministic) Min Max Player "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M0J1uoOWL8Bw"
      },
      "source": [
        "Neural Network player goes first"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "DanIKd9NOKZf",
        "outputId": "77f8654f-6f88-431a-9ee3-b92e9c387a39"
      },
      "source": [
        "from MinMaxAgent import MinMaxAgent\n",
        "\n",
        "tf.reset_default_graph()    \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "mm_player = MinMaxAgent()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, mm_player, num_battles = 20)\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Min-Max (determininstic) player\")\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 19, Player 1 wins: 0, and Player 2 wins: 81.\n",
            "Which gives percentages of draws: 19.00%, Player 1 wins: 0.00%, and Player 2 wins:  81.00%\n",
            "After 100 game we have draws: 49, Player 1 wins: 0, and Player 2 wins: 51.\n",
            "Which gives percentages of draws: 49.00%, Player 1 wins: 0.00%, and Player 2 wins:  51.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YybzJLQ0ORsd"
      },
      "source": [
        "Observation:\n",
        "\n",
        "It seems that either it converges to 100% draw or 100% losses with no middle ground or change after it reached 100% of either. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D09cbE7_Oi5Q"
      },
      "source": [
        "Neural Network moving second"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "tudCqt-COklL",
        "outputId": "d8e2a2ef-3982-44ca-cac0-5dbb95edd905"
      },
      "source": [
        "tf.reset_default_graph()    \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "mm_player = MinMaxAgent()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(mm_player,nnplayer, num_battles = 20)\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Min-Max (determininstic) player\")\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7QCKXAGnQvVH"
      },
      "source": [
        "Observation: \n",
        "\n",
        "It converges to 100% losses. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kp2AESoIQsRo"
      },
      "source": [
        "#3. Against the non-deterministic Min Max Player"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PJE92Mf2Ma67"
      },
      "source": [
        "Neural Network player goes first"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "BS6rXFyCQmkf",
        "outputId": "fd213ecf-a79b-4d79-d0f0-1e3ff2c88881"
      },
      "source": [
        "from RndMinMaxAgent import RndMinMaxAgent\n",
        "\n",
        "tf.reset_default_graph()    \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rnd_mm_player = RndMinMaxAgent()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, rnd_mm_player, num_battles = 50)\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Min-Max (non-determininstic) player\")\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')\n"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 90, Player 1 wins: 0, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 90.00%, Player 1 wins: 0.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 85, Player 1 wins: 0, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 85.00%, Player 1 wins: 0.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 92, Player 1 wins: 0, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 92.00%, Player 1 wins: 0.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 65, Player 1 wins: 0, and Player 2 wins: 35.\n",
            "Which gives percentages of draws: 65.00%, Player 1 wins: 0.00%, and Player 2 wins:  35.00%\n",
            "After 100 game we have draws: 66, Player 1 wins: 0, and Player 2 wins: 34.\n",
            "Which gives percentages of draws: 66.00%, Player 1 wins: 0.00%, and Player 2 wins:  34.00%\n",
            "After 100 game we have draws: 68, Player 1 wins: 0, and Player 2 wins: 32.\n",
            "Which gives percentages of draws: 68.00%, Player 1 wins: 0.00%, and Player 2 wins:  32.00%\n",
            "After 100 game we have draws: 77, Player 1 wins: 0, and Player 2 wins: 23.\n",
            "Which gives percentages of draws: 77.00%, Player 1 wins: 0.00%, and Player 2 wins:  23.00%\n",
            "After 100 game we have draws: 81, Player 1 wins: 0, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 81.00%, Player 1 wins: 0.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 75, Player 1 wins: 0, and Player 2 wins: 25.\n",
            "Which gives percentages of draws: 75.00%, Player 1 wins: 0.00%, and Player 2 wins:  25.00%\n",
            "After 100 game we have draws: 70, Player 1 wins: 0, and Player 2 wins: 30.\n",
            "Which gives percentages of draws: 70.00%, Player 1 wins: 0.00%, and Player 2 wins:  30.00%\n",
            "After 100 game we have draws: 66, Player 1 wins: 0, and Player 2 wins: 34.\n",
            "Which gives percentages of draws: 66.00%, Player 1 wins: 0.00%, and Player 2 wins:  34.00%\n",
            "After 100 game we have draws: 75, Player 1 wins: 0, and Player 2 wins: 25.\n",
            "Which gives percentages of draws: 75.00%, Player 1 wins: 0.00%, and Player 2 wins:  25.00%\n",
            "After 100 game we have draws: 76, Player 1 wins: 0, and Player 2 wins: 24.\n",
            "Which gives percentages of draws: 76.00%, Player 1 wins: 0.00%, and Player 2 wins:  24.00%\n",
            "After 100 game we have draws: 76, Player 1 wins: 0, and Player 2 wins: 24.\n",
            "Which gives percentages of draws: 76.00%, Player 1 wins: 0.00%, and Player 2 wins:  24.00%\n",
            "After 100 game we have draws: 82, Player 1 wins: 0, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 82.00%, Player 1 wins: 0.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 100, Player 1 wins: 0, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 100.00%, Player 1 wins: 0.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FYG101W8RS8o"
      },
      "source": [
        "Observation:\n",
        "Again, results are mixed. Sometimes we get close to 100% draws, but everything between 0% and 100% seems possible."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "prDYPiQ6RYRr"
      },
      "source": [
        "When NN Player goes second !"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "-wKgpZn1Razb",
        "outputId": "64d46239-1659-479a-d6d5-4228c3438d65"
      },
      "source": [
        "tf.reset_default_graph()    \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rnd_mm_player = RndMinMaxAgent()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(rnd_mm_player, nnplayer, num_battles = 50)\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Min-Max (non-determininstic) player\")\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 96, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 96.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7wTH3mD9Rfkc"
      },
      "source": [
        "Observation: \n",
        "\n",
        "Results are definitively not as expected; In most cases NNPlayer ended up playing slightly better than a random Min Max player, but not by much. Our NN Player never achieved consistently above 10% draws. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9GAmpdtFRAsk"
      },
      "source": [
        "#NN player V Tabular QL Player"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YtxuBlHhTkzo"
      },
      "source": [
        "NNPlayer plays first !"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "AlqHTVJDRVvV",
        "outputId": "6c9b9648-bdbd-4814-a435-589b4429df27"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from TabularQPlayer import TQPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "tqplayer = TQPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, tqplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Tabular Q-L Player\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 4, Player 1 wins: 5, and Player 2 wins: 91.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 5.00%, and Player 2 wins:  91.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 12, and Player 2 wins: 87.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 12.00%, and Player 2 wins:  87.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 20, and Player 2 wins: 78.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 20.00%, and Player 2 wins:  78.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 2, and Player 2 wins: 98.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 2.00%, and Player 2 wins:  98.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nOyH0hm8TeS8"
      },
      "source": [
        "Observation:\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "E9DRrFuoT3a8"
      },
      "source": [
        "NNPlayer at the max, wins 30% of the first few battles, but TQ Player quickly picks up and wins 100% of the time beyond 15 battles."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MOdP99rLXyP-"
      },
      "source": [
        "NN Player plays second"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "3oES-yHRUtvw",
        "outputId": "38e9c1c6-a15f-4c80-b72c-221d04230d75"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from TabularQPlayer import TQPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "tqplayer = TQPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(tqplayer,nnplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Tabular Q-L Player\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 0, Player 1 wins: 99, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 99.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 97, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 97.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fHu8VQ15YPbP"
      },
      "source": [
        "Observation:\n",
        "\n",
        "As expected NNPlayer performs worse than when it played first. At its best,it draws 18% of the first few battles, before TQPlayer catches up and wins 100% of the time for the next 95 battles. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D3jyZTBBHgIi"
      },
      "source": [
        "#Other activation functions experimented:"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WBOE401SHlzE"
      },
      "source": [
        "We have experimented with the following **activation** functions:\n",
        "1. tanh\n",
        "2. leaky ReLu\n",
        "3. sigmoid"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WpGnT4EEIHOl"
      },
      "source": [
        "Apart from Gradient descent optimzer, we have experimented with the  **Adam optimizer.**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nFpXxerTNF-7"
      },
      "source": [
        "# Activation functions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OXRHHSJIMIvH"
      },
      "source": [
        "1. tanh activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "foBDMRqKBkNU",
        "outputId": "1eda6994-92f3-48fe-ff34-760e10474e9a"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from RandomPlayer import RandomPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, rndplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Random Player for tanh actv. func\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 26, Player 1 wins: 54, and Player 2 wins: 20.\n",
            "Which gives percentages of draws: 26.00%, Player 1 wins: 54.00%, and Player 2 wins:  20.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 62, and Player 2 wins: 31.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 62.00%, and Player 2 wins:  31.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 61, and Player 2 wins: 30.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 61.00%, and Player 2 wins:  30.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 53, and Player 2 wins: 34.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 53.00%, and Player 2 wins:  34.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 68, and Player 2 wins: 22.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 68.00%, and Player 2 wins:  22.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 78, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 78.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 81, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 81.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 77, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 77.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 75, and Player 2 wins: 22.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 75.00%, and Player 2 wins:  22.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 79, and Player 2 wins: 18.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 79.00%, and Player 2 wins:  18.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 72, and Player 2 wins: 20.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 72.00%, and Player 2 wins:  20.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 74, and Player 2 wins: 23.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 74.00%, and Player 2 wins:  23.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 78, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 78.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 80, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 80.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 79, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 79.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 81, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 81.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 77, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 77.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 80, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 80.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 79, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 79.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 79, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 79.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 76, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 76.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 81, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 81.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 79, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 79.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 75, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 75.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 79, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 79.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 82, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 82.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 74, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 74.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 86, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 86.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 84, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 84.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 82, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 82.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 74, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 74.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 83, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 83.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 82, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 82.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 76, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 76.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 85, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 85.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 82, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 82.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 88, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 88.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 77, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 77.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 13, Player 1 wins: 74, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 13.00%, Player 1 wins: 74.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 84, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 84.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 87, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 87.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 78, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 78.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 83, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 83.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 92, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 92.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 84, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 84.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 84, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 84.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 88, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 88.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 84, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 84.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 90, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 90.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 82, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 82.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 80, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 80.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 15, Player 1 wins: 80, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 15.00%, Player 1 wins: 80.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 88, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 88.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 84, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 84.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 85, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 85.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 89, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 89.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 83, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 83.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 81, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 81.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 80, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 80.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 79, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 79.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 91, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 91.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 84, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 84.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 15, Player 1 wins: 76, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 15.00%, Player 1 wins: 76.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 81, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 81.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 93, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 93.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 85, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 85.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 84, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 84.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 81, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 81.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 84, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 84.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 82, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 82.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 80, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 80.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 86, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 86.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 95, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 95.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 84, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 84.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 82, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 82.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 89, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 89.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 82, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 82.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 16, Player 1 wins: 78, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 16.00%, Player 1 wins: 78.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 87, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 87.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 14, Player 1 wins: 83, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 14.00%, Player 1 wins: 83.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 88, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 88.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 89, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 89.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 87, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 87.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 85, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 85.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 80, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 80.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 85, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 85.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 91, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 91.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 86, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 86.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 91, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 91.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 84, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 84.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 87, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 87.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 85, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 85.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 12, Player 1 wins: 85, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 12.00%, Player 1 wins: 85.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 87, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 87.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 87, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 87.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 89, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 89.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 93, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 93.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 9, Player 1 wins: 87, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 9.00%, Player 1 wins: 87.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 85, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 85.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 83, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 83.00%, and Player 2 wins:  6.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0DzrCILWVsK2"
      },
      "source": [
        "2. Leaky ReLu activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "d8t2386SB-k4",
        "outputId": "7a81ddf0-8b54-4c3f-e251-2603f2956ebc"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from RandomPlayer import RandomPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, rndplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Random Player for leaky ReLU actv. func\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 10, Player 1 wins: 64, and Player 2 wins: 26.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 64.00%, and Player 2 wins:  26.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 77, and Player 2 wins: 22.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 77.00%, and Player 2 wins:  22.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 82, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 82.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 66, and Player 2 wins: 24.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 66.00%, and Player 2 wins:  24.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 89, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 89.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 77, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 77.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 80, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 80.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 85, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 85.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 81, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 81.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 85, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 85.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 85, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 85.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 90, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 90.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 86, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 86.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 87, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 87.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 88, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 88.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 89, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 89.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 88, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 88.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 84, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 84.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 88, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 88.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 87, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 87.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 90, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 90.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 88, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 88.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 87, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 87.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 92, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 92.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 92, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 92.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 93, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 93.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 91, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 91.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 94, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 94.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 88, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 88.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 93, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 93.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 94, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 94.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 92, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 92.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 94, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 94.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 90, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 90.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 93, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 93.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 89, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 89.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 95, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 95.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 94, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 94.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 96, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 96.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 96, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 96.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 96, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 96.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 96, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 96.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 97, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 97.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 97, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 97.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 97, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 97.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 95, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 95.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 96, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 96.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 92, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 92.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 94, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 94.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 99, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 99.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 93, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 93.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 96, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 96.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 93, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 93.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 93, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 93.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 94, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 94.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 95, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 95.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 92, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 92.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 94, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 94.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 96, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 96.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 90, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 90.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 92, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 92.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 98, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 98.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 93, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 93.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 97, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 97.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 95, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 95.00%, and Player 2 wins:  1.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "t0V-HlylNN26"
      },
      "source": [
        "3. sigmoid activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "23bSs_vXxnN9",
        "outputId": "b69e3afc-8720-4ff2-f33a-958f486d2061"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from RandomPlayer import RandomPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, rndplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Random Player for sigmoid actv. func\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 7, Player 1 wins: 86, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 86.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 10, Player 1 wins: 80, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 10.00%, Player 1 wins: 80.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 16, Player 1 wins: 70, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 16.00%, Player 1 wins: 70.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 16, Player 1 wins: 57, and Player 2 wins: 27.\n",
            "Which gives percentages of draws: 16.00%, Player 1 wins: 57.00%, and Player 2 wins:  27.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 66, and Player 2 wins: 26.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 66.00%, and Player 2 wins:  26.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 73, and Player 2 wins: 23.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 73.00%, and Player 2 wins:  23.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 85, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 85.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 76, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 76.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 88, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 88.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 81, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 81.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 78, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 78.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 79, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 79.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 80, and Player 2 wins: 16.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 80.00%, and Player 2 wins:  16.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 73, and Player 2 wins: 19.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 73.00%, and Player 2 wins:  19.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 87, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 87.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 77, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 77.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 88, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 88.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 79, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 79.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 83, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 83.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 83, and Player 2 wins: 15.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 83.00%, and Player 2 wins:  15.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 82, and Player 2 wins: 14.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 82.00%, and Player 2 wins:  14.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 84, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 84.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 85, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 85.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 84, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 84.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 78, and Player 2 wins: 17.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 78.00%, and Player 2 wins:  17.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 83, and Player 2 wins: 13.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 83.00%, and Player 2 wins:  13.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 85, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 85.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 88, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 88.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 90, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 90.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 88, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 88.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 88, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 88.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 92, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 92.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 92, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 92.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 91, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 91.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 93, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 93.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 83, and Player 2 wins: 12.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 83.00%, and Player 2 wins:  12.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 90, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 90.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 90, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 90.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 97, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 97.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 90, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 90.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 92, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 92.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 93, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 93.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 90, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 90.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 93, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 93.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 96, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 96.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 91, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 91.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 93, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 93.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 92, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 92.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 93, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 93.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 91, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 91.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 95, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 95.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 93, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 93.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 94, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 94.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 91, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 91.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 89, and Player 2 wins: 10.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 89.00%, and Player 2 wins:  10.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 94, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 94.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 92, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 92.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 97, and Player 2 wins: 2.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 97.00%, and Player 2 wins:  2.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 95, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 95.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 93, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 93.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 95, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 95.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 91, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 91.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 94, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 94.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 93, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 93.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 91, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 91.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 92, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 92.00%, and Player 2 wins:  7.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 94, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 94.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 93, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 93.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 96, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 96.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 90, and Player 2 wins: 8.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 90.00%, and Player 2 wins:  8.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 94, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 94.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 95, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 95.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 87, and Player 2 wins: 11.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 87.00%, and Player 2 wins:  11.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 89, and Player 2 wins: 9.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 89.00%, and Player 2 wins:  9.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 93, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 93.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 97, and Player 2 wins: 3.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 97.00%, and Player 2 wins:  3.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 95, and Player 2 wins: 4.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 95.00%, and Player 2 wins:  4.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 94, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 94.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 93, and Player 2 wins: 5.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 93.00%, and Player 2 wins:  5.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 94, and Player 2 wins: 6.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 94.00%, and Player 2 wins:  6.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 98, and Player 2 wins: 1.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 98.00%, and Player 2 wins:  1.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 92, and Player 2 wins: 7.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 92.00%, and Player 2 wins:  7.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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6jyt1e7P+NRptroleU6nrLYp+olmrckYvHM3LUS+TnF6wRfSF6dnfnmXpgaWsPLKSlUdWsnDvQrp/2R2r1Vqm9WyJ3cKzvz/LPYvuqdT4Hvq/h/h629dc8dUVlbbO2dtmIwgAk9ZNqrT1VpZlB5bZh99f97592Gq1Mvrn0Ty2/DFSMlMqZVv/xP5D/Fmj+jU2LZZca26lrLc4OlHQqpxjp48B8P3O7yu0HqvVyoNLHuTwqcPlWn7almlM3zK9QjEARB2JQhAy/pNB1n+yuLbZtUSnRjPixxH2ec5kn+GBxQ+wP2l/sesZ87NRKpuSmVKuC9aOkzuKzIFFHYkCYEvcFp797dkyr/e/K/9rXwfA+uPrScpIok+jPvhYfFh5eGWZ11mclMwU7l10L9m52RVaz9/H/rYPLz+w3D48458ZZOdlo1C8EvVKhbZh8+LKFwHoHdEbhWLB7gWVst7i6ERBq1IOJh8kx5oD5P+xlscLK17g882fM/jbwWVedun+pdy7+F4e+L8HynxH78hqtXL09FHCg8Lx9/bH19uX/7vz/wgNCGX+rvl8tfUrvv73a0ImhjB1y1QGfDOgyPVsjNnItpPb8LH4ADDzn5lliiM5PZnu07rzctTLLNq7yD7+8KnDnMo8RdewrlT3qc67a95lxaEVTq93f9J+Xv/rda6dfa09MX9p5UsAvHrlq3Sq14mkjCSOpx4vU7zFGfb9MKZtncbrf71eofVsj98OQIfQDsSdibPnSt9fa+QaLGLhm+0VryS3Wq2sOLSCIL8g3r3mXcAonnIlnShoVcp3O879YLbEbSl2vrgzcQz7fhiD5wxm8JzB3L3gblIzU+3Tc625fLT+IwB2J+5m9bHVTscQfyaeYd8Ps69n8b7FZd0NuxWHV2BVVvpE9LGP87Z4s2bsGrzEi7GLxjJq4ShyrDmEVg/lcMphluxdUmg9tlzCN8OMC1VZ6xV6z+hNRm4GAK+tes0+/oO1HwDwQLcHWD5yOYJww3c3FCq6s1qtvLjiReLPxOcb//4a4yKaY83h8umXk2vNJepoFMH+wfRv0p9RnUfl205FHD51mD+O/AEYiXZx0rPTefKXJ+2JVFGiU6Op7lOdOzrcAcDk9ZNJTE9kT+IemtVqRu+I3iSmJ7IxZqN9mb+P/c0zvz5TpuKfL7d8SbY1m5vb3EyviF54W7xZF7PO6eXLQycKWpXy+6HfAQgNCCU2rfhWzUPnDuWnPT+x9MBSlh5Yyuzts+k1vZd9+rO/PUtmXiaDWgwCYOyisU5t32q10mtGL7Lyshh36TgAPtv4WXl3x17BeFenu/KNb167OdNvNIqmWtdpzeHHDhM1KgqAh5c9nG/etdFr2Zmwk7Yhbbm13a0E+ATwz8l/nI7hgcUPsCdpD70a9iIsMIzNsZvtlcqL9i1CEEZ3Hk2fRn14qe9LZORm0HtG73zruOG7G3hr9VsMmTsk3/gl+5dgEQvXtbiOmLQYWnzUglxrLiPaGkVj47qMQxAW7lnodLzFGbXQSGC8Ld7sSthV5Dzfbf+OkHdDmLRuEvf8XHzdy+nM0zSo0YDx3ccD8MPOH/jvyv8C8Ej3R3j1SqOY7T8r/wPAidQTXDXrKt5b+x4hE0Oczk3Z6lPejHwTgGa1mhF3Jq7CxV8l0YmCVqXsiN+Bv5c/vRv1Jk/lselE4YZsO+N3si5mHY1qNuLkUyc5+dRJLmtwGbsSd/Hw0ofJzs3ms42f4evly8IRC+lUrxP7kvY5VbZ9x4I7OHTqEP0a9+PLG7+kuk911hwvf4uRv479hUUsDGxesG9JGNV5FNn/zWbP+D00qtmINnXb0DO8J8dOH7PnBKxWK3cvvBuAGUNmANA2pC2pWakkpicWuc0Vh1YwdO5Qhs4dyuA5g5m6ZSo1/WqyctRKxl46FoXijdVvcCb7DMdOH6NlnZZ4W4zW7a9e+So9wnuwJ2kPDyx+AIBPNnzC0gPGnfmGExvIzM0EIDUzlZi0GFrVacXi2xdTP7A+R08b3fy/HmkU7/h7+9O0VlOOpByxL1ecf2L/4bnfnivyTvxg8kH+OvYX4TXCuaLRFWTkZnAw+aB9utVqpd9X/bhjwR1k5WUhSLEJx+6E3SgUbULaEOgbSERQBPuS9zF351y8Ld6M7z6e/k36U9OvJlFHorBarfSc3pNsazY9w3tyOus0V8++miHfDSl0cT+YfJDb59/O0LlDuWnuTexN2kvL2i2pH1gfgKubXQ3AvJ3zSjwWFaETBa3KyLXmkpyRTJPgJgxuadQDFPXjsd0xfj74c0IDQwkNDOXPMX8S5BfEZxs/45rZ15CVl8VD3R7C19uXmUNmAnDf4vuK3fbexL00mdyE73d+T51qdfh15K8A9GzYkzPZZ9h2cluZ98dqtXI89TgRQRFYLEX/VG0XY5uvh34NwCPLHmFt9FrqvV+PA8kH6FK/Cz0a9gDg+lbXAzBj64wi13nbj7excO9CFu5dyNIDS/G2eBM1Kgp/b3/+0/c/WMTCjK0zmLLR6My4YDv9qNFR1PSrydQtU/lg7Qc8tvwxfCw+jLt0HFZl5Z3V7wDw8Qaj2eaItiOwWCysuWcN/l7+9AzvSUhAiH19N7e5GYVi6qapxR6r5PRkes3oxcQ1E6kzsQ6/Hfwt3/S7fzISxo8HfcywNkbR3rQt0+zT31/7Pn8e+5PGNRuzb/w+GgY1JCG96L7Vfjn4C2B8t7bjaVVWUjJT6Ne4n/07ubXdreRYc2j5cUuiU6O5ttm1rB23ls33baZe9Xos2reI2hNr2+tonv3tWVp90oq5O+eycO9Cft5rPNv7Qp8X7Nu+99J7AZi7c26xx6LClFIX7F/Xrl2VVjVNXjtZDZ833P634tCKUpdZum+pYgJq9MLR6nTGacUEVPcvuuebZ+uJrYoJqGYfNiu0/OYTm5VMEMUElP9r/ionL8c+revUrooJqKX7lhZa7sUVL9qXu3LmlSotK80+7YedPygmoEb9NMo+bvXR1erNP99UeXl5hbb/8sqX7Z8X71msmIC668e7St13R1fMuEIxAfvf8HnD8+1LzOkYxQTU5dMuL7SsbVrHKR3VkVNH1JFTR9TZrLP55rnsi8sUE1ARH0QoJqASziYUWs/WE1vtx4QJqLnb56qzWWeVTBAV/n64Ukqp9p+2V0xAJZ1Nsi+Xk5dT6LjEpsUqJqC6fN6l2H1u9XErxQTs35Nt/4bPG66GzR2mmIBqNKmRUkrZz41OUzrZl288qbGSCaJOZZxSSik1cPZAxQTUoeRDhbY1fN5wxQTUxpiNSimlDiQdsG9zXfQ6+3wn007ax9edWDffd5CXl6ce+r+H7Mco+O1gxQRUtderqZlbZ9qPfVHH1vdVX1V3Yt1ij4UzgE2qmOuqzilo552Jf0/k8V8eZ/6u+fY/251eSWxN9W5qfRNB/kFU96nO3qS9+eYZs8iocP3i+i8KLd8lrAvvXP0OgvB8n+fz3YXPusko239o6UP5ltkSu4U3/3oTf29/5t8yn5WjVhLoG2ifPuySYXiJl/3u8tjpY/Sf1Z8XV75I+KRwtsRuwWq1MubnMXT9oiuv/PnKuUphs/XK6EtHl7rvjmbdNAuLWKhdrTarRq3ih1t+yLcvDYIaEOgbyLb4wrkXWxn2uEvH0Ti4MY2DGxPgG5Bvnv/1/R9gVLaGVg/Nd1dv0zmss721zJjOYxjRfgQBvgF0CetCTFoMuxN2sztxN2GBYdQOqG1fztviXShXVD+wPmGBYWyJ28Ky/cso6N5F97IvaR+XN7ycTfdtYvN9m6kfWJ81x9cwf9d8Fuwxzospg42cTZB/ELWr1WZvonFuHE05ytHTR2lXtx3B/sEA9G3cF4Cf9hSukN8VbxQrdalvvAusee3m1A+sT4MaDey5MYDQwFC6N+iOr5cvf9/zd77vwGKx8Ol1n7L9we00DGpISmYK1zS7hsRnEhnVeZT92Bd1bFvUbkFCekKlPiyYT3GpxYXwp3MKF568vDz1+LLH1R3z71B3zL9D3b3gbrXj5A779I0xG5VMEOX3mp/aGLNR7UnYo0Inhiq/1/xKXXe7T9spJmC/I+v8eWfFBFRGToZ93UxAtfyoZYnrycrJKnJ8jy97KCagFu9ZbB/X4bMOigmoPw7/Uez6Ok7paL+jbvB+A8UE1KWfX2q/iwx6K0gxAVXzrZqq5ls1FRNQ3+/4XoW/H668XvEqdOfsjOL2wabXtF6KCajYtNh845t92EzJBLEfs+IEvhnoVC6m4HoW7FqgmIBq/mFzxQTUmIVjSlzeZl30Ovt54Xj3/O22b+132gW3dSj5kNqTsEftSdijTqadzDftmq+vUUxA7YrfpW6ff7tiAmrWP7Ps03ec3KGYgLrx2xsLxRL0VpCq8WaNfOPy8vLy5QRKG1+QY+6yNI8ve1wxAfXl5i+dXqYgdE5BO1+8v/Z9Jq+fzLc7vuXbHd/y9bav6TClAw8vfZj07HSumnUVCsX8W+bTrUE3Woe0pklwE7LyskptcXHo1CFqV6ttvyOzNeP8afdP5FpzGfiNUVk77YZpxa4DwNfbt8jxBXML64+vZ3v8di6pcwn9m/Qvdn13drgTgHaftuNE2gmub3k9W+7fwq8jfyXIL4jUrFRua3cbic8m8vc9f2MRCyMXjORE2gkaBzcutj6hPPtgc2PrGwHyPVyXmZvJ4VOHaRrcFH9v/xKXv7uTkXN7uvfTJc5XcD1D2wyluk91Dp4yKnmf6vVUicvb9GjYg9eufI2svCx6Te9FZm4mg+cM5o4Fd2ARC6tGryq0raa1mtI6pDWtQ1oTGhiab5qtHmTa1mks2rsIfy9/RnY418dSu9B2WMRifx7Bxmq1kpaVRnhQ/te9WCyWQvU7JY0vyDF3WZpxXYxWbYv3lr+pc0l0oqC51acbP0UQ1tyzhq33bWX2TbOp7ludzzZ+Rs13apKWncb4y8Zzfevr7cu0DW0LwOro4p8ViD8TT0ZuBm1D2trH3dL2FgAW71vMwG8GkpSRxO3tb6dvk77lir11SGt6R/QmOjWaH3f9aG+yaGvVU5yHLjMSkfj0eMICw/j5NqMC8Zrm13Dq2VOceu4U3w3/Dm+LN+1C2/HxoI/JseagUFzZ5MpyxVoa+4XF4RmKLzd/iUJxU5ubilvM7tPrPiXthTQ61utY5m3f0OoGAGr41qBdaDunl/tP3/9wRaMrOJB8gBpv1WDpgaVGE9l7N5c5DlsCMGPrDM7mnGVAiwGFEt+QaiGcSDuRb9y2k9tQqHznmbu1C23HirtX8NOIyu3DykYnCprbHD512F522yuiF53DOjOy00iSnkliSOsh5Fpz6VivIx9fl78zse4NugPw19G/il23rUuLyKaR9nF9GvVBEH7a8xMrDq+gcc3GfDO0Yk+Z2nIL9yy6h12Ju2hftz29InqVuEygbyAta7fEx+LD2rFr8118LBaLvRzb5qHLHmJIa6M9//1d769QvMUJCQihln8tNsRssD9gZXsm4qmezt29l+Xu1tHbV7+NIAxsUbiZbWl+v+t36lSrQ541j8d7PM7xJ47TOaxzmdcT4BtASECIvbuPtyLfKjRPqzqtyMrLyvcg3q+HjFZll0dcXuZtVqarml5VrhykM1zWdbZ28UnJTGH2v7N5+LKHizxhX1xh9OHyXO/n8o339fZl4W0LSU5PLnSBBOMHALA1bmu+8VFHopizbQ6A/RmCEe3P9QdksVgIrR7KybMn8fXyZd24dRX+ITWv3Zx+jfux6ugqoPRcgs2OB3eQmZtJkH+QU/PbjodjJWxlmzNsDtd9ex2RX0cS91Qc205uo061OjQIauCybQI0Dm5M8nPJBPk6dywc+Xr7cuLJE2Rbs8udKNlc1uAylh1YRlhgGG3qtik0vWfDnqyOXs3ifYvtT1bbemwd0Lzo7kSqAp1T0CqF1Wql45SOPLr8Ue5ccGeR8yzetxh/L3971wAF1Q6oXeRFu3VIawRhX9K+fOOHfj+UaVunMW3rNA6lHMLfy7/Qj7tPI6Ne4YdbfrA/AFRRs26ahSB0DevKZeGXObWMr7ev0wmCjSsTBIBBLQfxaPdHSctOo8XHLcix5tgfjnK1YP/gcifQvt6+FU4QAO7tYrT5f7THo7/tXIYAACAASURBVEVOH9zKeNblt0PnnnnYnbgbQWhb13PFR66mcwpapRjx4wiiU6OxiIW5O+cyqOUge2UkGJW9Z3POclPrm8p1MajuW53YM+e6rcjMzSQlM4WWtVvaK44vCbmk0HLzhs8jMT2xUEVjRTQObsyJp05Q29+1F213+HDQh/xx5A97heoTPZ/wcETuM7TNUGKfii32ZqFvI6PuaWvsuRxqTFoMQX5BLiu6OR9U3T3T3Gb6lunM3zWf0Oqh7Hpol72jNscup9/46w3gXB8uZRUWGEZq1rkO637eY1TWDmg+gL5N+tK3Sd8iL/wWi6VSEwSb+oH1S23hc6FYPWY11X2qE+gbmK+d/cWgpNyjxWKhpl9NjqUaHeN9tfUrzmSfoUXtFu4KzyN0ouAiKw6tYHfCbpet32q18sXmLyrULXNlOJh8kPuX3I+XeLHmnjW0DmnN1OunkmvNpfu07jyx/AmeWP4EW2K30KBGgyLLbp3RvFZzrMpq70LZ1jXAzW1vrrR9uVgF+Qdx4skTHH3sqKdDOe80rdWUM9ln2J2wm3sX34uXePH98Iq9p+N8pxMFFxk0Z1CxfdtXhknrJnH/kvv5fPPnLtuGM4bMHUKeymP6jdNpXrs5AGO7jGV42+Ekpicyef1kJq+fjELxULeHSllb8TrXN1qY2HqX3HBiA4LYs/haxQT5B7m8DuNC1C2sGwBdv+hKnspjxpAZ9vO8qtKJggucyT5DjjWHmLSYCq8rNTOV+bvmFxq/9rjRCqIy30pVVn8f+9veJbOtdYbND7f8wOoxq/n5tp/5+bafWTVqFf/p+59yb6t3hNEV87rjRl/yx04fI7R6aJUu29U8b0AL48YuIzeDEe1G5Ksnq6p0RbMLbIjZAIBVWdkYs9HpFipFGb90PLO3z2b7A9tpX6+9fbztidCdCTsrFmwFjFtkPABVXLPM3o16Fzm+PPo37Q8YXWMfPnWY7Lzscj04pWllcV2L6xCERjUb8e2wbz0djltclLdZG2M28tSvzj2gUx6bT2y2D1e0i9s9SXuAcw/N2JxINZ60jEmteG6kPKKORLEnaQ8d63V0S+VkoG8gPhYfjpw+wtwdxjG9ptk1Lt+udnEL8A1g98O72Td+30WTK7049rKA//7xXz5Y+wE7411zl70jfod9+M8jf1ZoXfFnjdcXFnxZTEqW8STmmewzHqlstr1b4KshX7ltm7X8a5GYnmhvN357h9vdtm3t4tU6pHWVaWnmjIsyUbD1ieP4ko3yWnFohf1ReRtb0U51n+rsS95X1GJOs617T+Ie+7js3Gyy87IRBIUq8V3Ezog6ElWml8D8dvA39ifvp0v9LnQJ61KhbZdFRM0IMnMz2XZyG35efjQMaui2bWvaxeKiTBTu7Gg8cfvrwV9LmbNkKZkpXD37am794dZ844+nHsfb4k2rOq1IzUqtUL/nZ3PO2tdpsznWKJ5qVLMRQKG3TDnrTPYZrpx5JVfOupJOn3di5IKRpeY6snOzGTHf6ErC1g+Qu9geTkvKSKJJcBO3blvTLhYXZaLg7+1P3YC6HEg+UKH1rD++Hihc2ZuckUygbyBXNLoCOPfyl7KyWq32982eyjxlH78m2njnr63TtPUx68u87jnb51B3Yl2ijkbRuGZjavnXYs72OdR5tw6rjxXfG+nVs6/mVOYpRncena/i2x0ua3Cuwr5H+MX1kJWmuctFmSgAdA/vTrY1my2x5S96sZXzJ57N/wL0szlnqRtQl1vbGTmIJfuXlGv9treGCUKuNZfUTOOJ3n/j/gWMd8CW9ILx4izdv5SRC0aSbc3mpSte4sjjR0h8JpG7OtxFSmYKg78dXORyb/z5Bn8d+4sWtVu4tS7B5sqm57qRvumS0rt31jSt7C7aROG2drcBMH3r9FLmLJ4th5BtzbaX/adkpmBVViKCIujVsBcWsdi7Ji6rf+L+AaBBDaPXyj+O/AGcSywua3AZNf1rFurz/cddPzJ53WQmr5vMJxs+yVfnEX8mnmHfD0MQ1o1dx2tXvQYYj/R/Pexrekf0JjUr1d66yWb98fX894//4u/lz9qxa8u1PxXVvu65nMnglkUnXJqmVcxFmyjY7rJtT8iWx6FTh+zDtvoJW9e6LWu3tHfdHJ0aXa7123IAtvfF2op1YtJi8LX44uvtS0RQBGdzztrrAn7a/RPDfxjOE788wRO/PMEjyx4h9N1QpmycgtVqpdeMXmTlZfFm5JtFPj9hK5L6csuX+cbfseAOFIoFIxYU+d5Yd7D1RRMaEHpRtQbRNHe6aBMFX29f6gXWs7cUKg/HO3Rb//q24qiO9Y0HqzrV60SONYf9SfvLvH5bnceoTsbTwv+eNIqNkjKS7O8d6BDaATj3hPPrf74OwGtXvsakAZN4tPujWJWVh5Y+ROh7oRw6dYh+jfvxfJ/ni9zm2EvHArBk37kiL9trGpsFN2NQy0Fl3o/KtPHejawbt86jMWhaVXbRJgoAPcN7kmvNtVcYl1VyRjI1/WoC57rXtRUp2SpFbW+X+m7Hd2Ve/7HTRu+MVza5EotYOHjqIFarlczcTMJqhAHnnhr+/dDvnMk+w9a4rYTXCOelvi/xeM/H+XDQhxx/8jgdQjuQlJFE7Wq1+XVk8a2uagfUpqZfTXYlnqunmLppqtOvaXS1lnVa0rRWU0+HoWlVlkcSBRF5QkR2isgOEflORPxFpKmIrBeRAyLyvYi4vHzA9vBTeesV0nPSCasRhq+XL4dTjG6iDyYbOY9Lwy4F4Lb2Rt1FeYqp4s7G4SVexgta/II4eeakvUjJ1n3voBbGnfuGmA28tuo1FMr+8hCb+oH12fbgNpbfuZz94/eXWvTSuX5n0nPS7V1fz942G3D+NY2apl243J4oiEg48CjQTSnVHvACbgPeASYppVoAp4Cxro5lWBujwtVWgVsW8WfiUSgaBTUitHooielGC6TYM7H4WHzwthjdStUPrE8172psit1U5iePT2WcoppPNQAaBDYgPSedv44Z7ym2FRs1rdUUi1jYk7SHmf/OxCIWnuvzXJHrG9BigFM9YQ69ZChg1CtYrVa3vaZR0zTP81TxkTdQTUS8gQAgFrgKsHUHOgtweVmFt8WbsBph+V4G4yxbGX6rOq1oUasFudZcEtMTSc5IpoZfjXzz3tL2FtJz0nl11avFri81M9Wey7A5m33WXnfQqk4rFIql+5cCxvtjbYL9gzmacpT4s/F0b9Adf2//Mu+PozGdxwCw7MAylh9cTo41R/czpGkXCbcnCkqpGOA94BhGYnAa2AykKKVyzdmOA+HuiKdXw17kqbwyNxu11SF0qt+Jbg2MPteX719Oek46oQH53/Q1ZfAUvC3eTFwzscjcwgdrP6DOu3Vo9Ukr+8NqVquVbGu2fV224qjV0UYLJMceSBvXbEyeygNgQv8JZdqPogT5B1HLvxZ7EvfwyYZPAHiy15MVXq+maec/TxQf1QKGAE2BBkB1YGAZlr9PRDaJyKaEhIQKx2N7sfuKw2Ur89+ZaFQodw/vbn+oasn+JUaRktn9hE2AbwCjOo0iIzeDl/54yT7+ROoJ2n3ajqd+fYpcay5WZbU3bbU1Y7X172NrlpqSmYK3xTvfi8ttXUjX8K1h7/+9orqEdSEzN5OVh1dSzbtahbr/1jTtwuGJ4qOrgcNKqQSlVA6wAOgNBJvFSQANgSL7hFZKfaGU6qaU6la3bt0KB9O/cX/gXH9CzrIVObWv256rml4FnHvhTas6rQrN/8l1n+Bj8WHSuknkWnN54883aDS5EbsSd9E1rCuzbzIqc21dYtiatjar1QyAyxtebl9XDd/8xVPXNDeKdoa3HV6mfSjJzW2M11xm5WXpLiU07SLiiUThGNBTRAJERIBIYBfwB2C7qo0CfnZHMLa77L2Je8u0XOyZWHy9fLFYLPh7++Pv7U9CupFz6VS/U6H5/b39GXvpWDJzMwmZGMJLf7yEl8WLqddPZdN9m7itg9FKydavka1pq60TOF9vX/y8/IDCLxu/s8OdzBwyk2k3VLzXV5u7Ot1lH76v632Vtl5N085vnqhTWI9RobwF2G7G8AXwHPCkiBwA6gDl73+iDCwWCwE+AWV+deapjFP2ZxQA6lWvZx/uHt69yGU+HPghvl6+nM46zeUNL+fk0yftF1xvize1q9W2N221Pezm+HYx25PETYMLt9Mf1XlUpb4EJNA3kLoBdfESL0a0G1Fp69U07fzmkddxKqVeBl4uMPoQUPTV1MVCq4cSfbpsXVFk5mbai3bA6Nbi6OmjQP4+ehz5evuyesxqUjJT7EU+jtrVbcdfx/4i/ky8fV2d6p3LdTSu2ZiYtBjah7qnd9Lf7/6dxPTEi+aNU5qmXeRPNNs0C25GnsqzP2tQmmOnj6FQNK7Z2D7OVhFrK1IqzmXhlxWZIABENo0EjKefY8/EYhELAb4B9uldG3QFoF+Tfk7FWVEd63W015domnZx0IkC54pobBXFpVl33Oh7p3VIa/s42wXdsUiprO7ocAcAyw8sJzkjudDzBu9d8x6fD/6c61peV+5taJqmlUQnCkCviF7AuR5OS2Pr0rpz/c72cbYX6oQHlf/xipZ1WuJj8eHfk/+SlpVWKIHx9fbl/m73l3v9mqZppfFIncL5xlZE4ux7incn7Abyv/3L19uX74d/z6X1L61QLA2DGnL09FGsyuqxLqo1Tbt46UQBo1WPl3hxKOVQ6TMDR04fAYzKZUe2N61VRLcG3ewtkMJruOWhbk3TNDtdfGSq6V+T+LPxTs0bdyYOPy8/l7TKubHVjfZh3UW0pmnu5vRVTUR6ishyEYkSEc93rF/JwmuEk56T7lRPpimZKfaO6irbsDbD7MOt67QuYU5N07TKV2yiICL1C4x6EhgKXAe85sqgPMHWkqi0egXbS27qBdYrcb7yCvANsHdj0aFeB5dsQ9M0rTgl5RQ+F5H/iYitXWQKRjcUQ4FUl0fmZl3DjGcAoo5GlTjf3iSjO4yiniquLLauLTrX61zKnJqmaZWr2ERBKXUTsBVYIiJ3A48DfhhdUFS54qN+jY0HwkrrQvuHXT8A0L9Jf5fF8t3N3zF5wGSnXoijaZpWmUqsU1BKLQYGADWBn4B9SqmPlFIV77P6PGN7InlP4p4S57O9VtP2mk1XaF67OY/1fMxl69c0TStOSXUKN4rIH8ByYAcwAhgiInNFpLm7AnQXb4s3/t7+9vcYFGdnwk78vf0L9VSqaZpWFZT0nMLrGB3UVQN+UUp1B54SkZbAGxjvVa5S6gbUJfZMbLHTc625JGck5+veQtM0rSopqfjoNDAMuBmwN+BXSu1XSlW5BAGgSXATcq25pGYWXY/+68FfUSh6Nezl5sg0TdPco6REYShGpbI3cId7wvEsW5fUxbVAsr0V7aZLqlw9u6ZpGlBy66NEpdTHSqnPlVJVrglqUWwd3Nk6vCvI1mGe7qVU07SqSndz4aBLWBeg+FdzHk45TO1qtfG26C6jNE2rmnSi4KBjqPFehSMpRwpNiz8TT0ZuBm1D2ro5Kk3TNPfRiYIDX29fvC3eRbZA+n7n98C5l+lomqZVRaUmCiIyTET2i8hpEUkVkTQRqbJ1DNV9qpOckVxo/LIDywC4vcPt7g5J0zTNbZzJKUwEblRK1VRKBSmlaiilglwdmKfUrlabszlnC43/J+4ffCw++hkFTdOqNGcShZNKqd0uj+Q8ERYYRq41l+zcbPs4q9XKybMnK/SqTU3TtAuBM4nCJhH5XkRuN4uShonIsNIXuzA1CW4CwLb4c11obzyxEauy2ntS1TRNq6qcaVsZBKQD1zqMU8ACl0TkYbbioS2xW+jWoBsAy/Yb9Qm6klnTtKqu1ERBKTXGHYGcLzrV6wTAzvid9nEbTmwA9ENrmqZVfcUmCiLyrFJqooh8jJEzyEcp9ahLI/OQrg2MIqIDyQfs4/Ym7cUiFhoHN/ZUWJqmaW5RUk7BVrm8yR2BnC8aBjVEkHxdaMemxVLLv5YHo9I0TXOPYhMF8wU7KKVmuS+c84Oftx8J6cZ7hLJzs8nIzaBNSBsPR6VpmuZ6+onmIgT5BZGSmQLAX8f+AqBj/Y6eDEnTNM0tdKJQhNCAULJyswBYcdh4/WafiD6eDEnTNM0tdKJQhIZBDVEoTqSeYNMJo0plUItBHo5K0zTN9Zzp+2iiiASJiI+IrBCRBBEZ6Y7gPKVF7RYAbIrdxL6kfXiJFw2CGng4Kk3TNNdzJqdwrfmSneuBI0AL4JmKbFREgkVkvojsEZHdItJLRGqLyG9m53u/iYjHmvu0rWt0j73t5DZOnj1J7Wq1PRWKpmmaWznzRLNtnsHAD0qp0yJS0e1+CCxXSg0XEV8gAHgRWKGUeltEngeeB56r6IbKw/aynR3xO8jMzbS/Z0HTtOLl5uYSGxtLVlaWp0PRTH5+foSFheHt7fyLwZyZc4mI7AEygAdFpC6QWc4YEZGaQF9gNIBSKhvIFpEhQH9ztllAFB5KFDrVN55qXn1sdb7PmqYVLzY2lsDAQEJDQ8nJyfF0OBc9pRRpaWkcOHCAli1b4uXl5dRyznRz8byITAROK6XyRCQdGFKBWJsCCcBXItIJ2Aw8BtRTStnebhMH1CtqYRG5D7gPoFGjRhUIo3j+3v54iRcxaTEA9G3U1yXb0bSqJCsri1q1ahETE+PpUDSTUoqkpCQOHTrEgAEDnEoYSk0URCQAeAhohHExbgC0BpaUM05voAvwiFJqvYh8iFFUZKeUUiJSqGsNc9oXwBcA3bp1K3KeylDdtzqpWca7hAa2HOiqzWhalZKUlIS3t7fTd6Wa6/n4+LB37146depEeHjp3f87U9H8FZANXG5+jgFeL3+IHAeOK6XWm5/nYyQSJ0UkDMD8H1+BbVSYrVsLb4s3IQEhngxF0y4YeXl5WCy6pfv5xmKxOF3X48y311wpNRHIAVBKpQPlrmlWSsUB0SJie4VZJLALWASMMseNAn4u7zYqQ1hgGIBOEDStjCqhIUq5NWrUiGuvvZarrrqKa665hqlTp2K1Wj0Wz4XImYrmbBGphtlTqog0ByravOARYI7Z8ugQMAYjgZonImOBo8CtFdxGhTQJbsK6mHU0C27myTA0TSsDf39/fv31VwASExMZP348aWlpPP300/nmy83NLVOLnIuJMzmFl4HlQISIzAFWAM9WZKNKqX+UUt2UUh2VUjcppU4ppZKUUpFKqZZKqauVUskV2UZFta5jZGQ6h3X2ZBiappVTSEgI77zzDjNnzkQpxbx58xgzZgy33norI0aM4OzZs4wYMYKBAwcSGRnJL7/8AsCUKVOYPn06ABMmTODWW43707///pvx48d7bH/cxZnWR7+JyBagJ0ax0WNKqUSXR+ZhD1z2AAv2LODZyyuU/mnaRanmyy/js3Nn6TOWQU67dpx+5ZUyLdO4cWOsViuJicYla/v27fz222/UqlWL3Nxcpk2bRo0aNUhOTuaGG27g2muvpXv37nzxxReMHTuWbdu2kZWVRU5ODuvXr6dnz56Vuk/nI2fzT+GAlzl/XxFBKVUlX8dpUz+wPtse3Fb6jJqmXTD69u1LrVpGIxKlFG+//Tbr16/HYrEQFxdHQkICHTt2ZPv27aSlpeHr60v79u3Ztm0bGzZs4NVXX/XwHrieM01SZwAdgZ2Arcamyr6jWdO0iivrHb2rHD16FIvFQkiI0WCkWrVq9mk//fQTycnJLFu2DB8fH3r27ElWVhY+Pj5EREQwb948unbtSps2bVizZg1HjhyhZcuWntoVt3Emp9BTKdXW5ZFomqZVoqSkJF544QVGjx5dZIuo1NRU6tSpg4+PD3///TfHjx+3T+vevTtTp07l/fff55JLLuHVV1+lQ4cOHm1Z5S7OJAprRaStUmqXy6PRNE2rgMzMTK699lpyc3Px8vLi5ptv5r777ity3mHDhjF69GgiIyPp1KkTLVq0sE/r0aMHH3/8MV27diUgIAA/Pz969Ojhrt3wKFGq5IeCRaQfxjMEcRhNUQXjoWOP9xLXrVs3tWnTRfUKaU07bx04cACLxYKfn5+nQ9EcxMTEsHbtWm644QaaNTOa2IvIZqVUt6LmdyanMB24C9jOuToFTdM0rQpyJlFIUEotcnkkmqZpmsc5kyhsFZFvgcU4PMlc1ZukapqmXYycSRSqYSQG1zqM001SNU3TqiBnnmge445ANE3TNM8rte8jEWkoIj+JSLz596OINHRHcJqmaZp7Ofs+hUUYL9dpgFG38JUrg9I0TSsrW7fZkZGR3H///WRkZADQqlUrt8bx1Vdf0bt3bxo2bEhycvn69YyLiyv2+QpXcyZRqKuU+koplWv+zQTqujguTdO0MrF1m71ixQp8fHyYPXu2y7eplCr0vobLLruMuXPn0rBh+QtU6tevzxdffFHR8MrFmUQhSURGioiX+TcSSHJ1YJqmaeXVo0cPjhw5km9ccV1lv/vuu0ybNs0+3zvvvGP/PGXKFAYPHszVV1/Ne++9B0B0dDR9+/blscceIzIykhMnTuTbTvv27YmIiCgxvrvvvptdu4xOIgYMGMCkSZPsscyZM4fo6GgiIyMBmDdvHuPGjePOO++kT58+vP668eLLvLw8nnjiCSIjI4mMjOTLL78sz6EqxJnWR/cAHwOTMFodrcF4KY6maVqRXl77MjuTKrfr7HZ12vFKr9I72svNzeWPP/6gf//++cb7+fkV2VX2bbfdxr333su4ceOwWq0sWrSIJUuWsGrVKg4fPsySJUtQSjFmzBjWrVtHeHg4hw8fZtKkSXTt2rVc+9K9e3c2bNhAw4YN8fb2xtYzw4YNG3j77bcLzb9r1y6WL1+Or68v/fr145577iExMZG4uDhWrFgBwOnTp8sVS0HOtD46CtxYKVvTNE1zEVu/R2BcdG+77bZ804vrKjsiIoJatWqxY8cOEhISaNeuHbVq1eLPP//kzz//ZMCAAYCR0zh8+DDh4eE0bNiw3AkCGDmZGTNmEBERwVVXXcVff/1FRkYG0dHRNG/enOjo6Hzz9+7dm6CgIABatmzJ8ePHadWqFceOHeOll14iMjKSfv36lTseR850nT0L48U6KebnWsD7Sql7KiUCTdOqHGfu6Cub46s4i1JcV9kAt99+O/PmzSMhIYERI0YARiIyfvx4Ro4cmW890dHRBAQEVCjWTp06sW3bNho1akTfvn1JTk5mzpw5dOjQocj5fX197cNeXl7k5uYSHBzMr7/+SlRUFN988w1Llizh/fffr1Bc4FydQkdbggCglDoFXFrhLWuaprlRSV1lDxw4kKioKP799197sVO/fv2YO3cuZ8+eBSA2Ntb+BreK8vX1JSwsjCVLltClSxd69OjB1KlTy9QTa3JyMlarlcGDB/PMM8+wffv2SonNmToFi4jUMhMDRKS2k8tpmqadN0rqKtvX15fLL7+coKAgvLy8ACNR2L9/PzfeaJSeV69enY8++sg+vTjTp09nypQpJCQkcM0113DllVfaK6kd9ejRg9WrV1OtWjW6d+9ObGxsmRKFuLg4nnzySXvrp+eff97pZUviTNfZdwMvAj+Yo24B3lRKfV0pEVSA7jpb084fF3LX2VarlYEDB/L555/bu5euKsradXapxUfmxX8YcNL8G3Y+JAiapmmVYd++ffTp04c+ffpUuQShPJypaJ6tlLoL2FXEOE3TtAtaq1atWLNmjafDOG84U9HczvGDiHgB5W+LpWmapp23ik0UROQFEUkDOopIqoikmZ/jgZ/dFqGmaZrmNsUmCkqpt5RSNYB3lVJBSqka5l8dpdQLboxR0zRNcxNnmpYuE5G+BUcqpf50QTyapmmaBzmTKDzjMOwPdAc2A1e5JCJN07RyaNSoEZdccgl5eXm0aNGCyZMnU61aNVq1asW+ffvcFsf48ePZtm0bPj4+dO7cmbfffhsfH58yrSMuLo7//e9/Hukp1ZkmqTc4/F0DtAdOuT40TdM0550vXWcPHTqUVatW8fvvv5OZmcl3331X5vWe711nF3QcaFPZgWiaplUWT3adHRkZiYggInTu3JnY2NhC8V3QXWeLyMcYXWaDkYh0BrZUytY1TauSXn65Jjt3lq3IpDTt2uXwyiuldw99vnSdnZOTw48//sgrrxTuHPCC7jobcOxHIhf4Tin1d0U3bD7vsAmIUUpdLyJNgblAHYw6i7uUUtkV3Y6maReH863r7BdffJEePXoU2Z/RBd11tlJqloj4ArYXne6tlC3DY8BuIMj8/A4wSSk1V0Q+B8YCUyppW5qmuZEzd/SV7XzqOvuDDz4gOTmZd955p8jpF3TX2SLSH9gPfAp8BuwrqolqWYhIQ2AwMM38LBitmeabs8wCbqrINjRN0xy5q+vsb7/9llWrVvHJJ59gsRR9ib3Qu85+H7hWKbUXQERaAd9Rsa4uJgPPAjXMz3WAFKVUrvn5OBBe1IIich9wHxhN0DRN05zhrq6zX3jhBRo2bMiQIUMAGDRoEE888USh+S7krrO3KaU6ljbO6Q2KXA9cp5R6yMyFPA2MBtYppVqY80QAy5RS7Utal+46W9POH7rr7PNTpXedDWwSkWki0t/8+5L8lc9l1Ru4UUSOYFQsXwV8CASLiC3n0hCIqcA2NE3TnKK7zs7PmeKjB4GHgUfNz39h1C2Ui9lv0gtgr694Wil1p4j8AAzHSChGoTvd0zTNDXTX2fk50/ooC/jA/HOl54C5IvI6sBWY7uLtaZpWyUorjtbcqzzfh0fftayUigKizOFDGP0qaZp2AfLz8yMtLQ0/Pz+MBoWaJymlyMjIICMjo0zLeTRR0DSt6ggLC2PPnj2kpaXpROE8kZGRQWxsLEoppzvlczpREJEApVR6uaPTNK1K8/b2pk6dOkRFReHt7a0ThvNEdnY24eHh1KtXz6n5nen76HKMh8wCgUYi0gm42H2adwAAIABJREFUXyn1UIUi1TStyrn00ksJDg4mPj5e1y+cJ6pXr06rVq3yPRVdEmdyCpOAAcAiAKXUvxV9olnTtKpJRGjWrJlu2nkBc6rrbKVUdIFReS6IRdM0TfMwZ3IK0WYRkhIRH851ZKdpmqZVMc7kFB7AeHgtHOMp487mZ03TNK2KcebhtUTgTjfEommapnmYM62PmgKPAE0c51dK3ei6sDRN0zRPcKZOYSFGlxOLAWsp82qapmkXMGcShUyl1Ecuj0TTNE3zOGcShQ9F5GXgVyDLNlIptcVlUWmapmke4Uyi0AG4C+O9B7biI2V+1jRN06oQZxKFW4BmSqlsVwejaZqmeZYzzynsAIJdHYimaZrmec7kFIKBPSKykfx1CrpJqqZpWhXjTKLwssuj0DRN084LzjzRvModgWiapmmeV2qdgoj0FJGNInJGRLJFJE9EUt0RnKZpmuZezlQ0fwLcDuwHqgHjgE9dGdT54scfITPT01Fomqa5j7PvUzgAeCml8pRSXwEDXRuW582aBcOHQ0gI/PSTp6PRNE1zD2cShXQR8QX+EZGJIvKEk8td0NauNf6fPQvDhkFkJGTrJzU0TavinLm432XONx44C0QAN7syqPPBwYPG/zVroFEjWLkSbr3VszFpmqa5mjOtj46ag5nAK64N5/xx/DiIQK9ecPQo1KkDixZBfDyEhno6Ok3TNNcoNqcgIkNE5GGHz+tF5JD5N9w94XlOQgJUq3bu85tvglIwZoznYtI0TXO1koqPngUWOXz2Ay4D+gMPujCm80JaGtSsee7z/fcblc7LlsGJE56LS9M0zZVKShR8lVLRDp9XK6WSlFLHgOoujsujrFajUrlevfzj33vPyC2MHu2RsDRN01yupEShluMHpdR4h491XRPO+eHwYeN/o0b5x48aZSQUv/8Ox465Py5N0zRXKylRWC8i9xYcKSL3AxtcF5Lnbdpk/G/RovC0iRON3MKLL7o3Jk3TNHcoqfXRE8BCEbkDsL1lrStG3cJNrg7Mk7ZtM/63b1942h13GDmGAwfcG5OmaZo7FJsoKKXigctF5CqgnTn6/5RSK90SmQft22f879q18DRvb+MvLs69MWmaprmDM88prAQqLSEQkQjga6Aexms9v1BKfSgitYHvgSbAEeBWpdSpytpuWRw1n8xo27bo6YGBkJzsvng0TdPcxRPdVeQCTyml2gI9gYdFpC3wPLBCKdUSWGF+9oi4uHM5gqLUqQPp6e6NSdM0zR3cnigopWKVUlvM4TRgNxAODIH/b+/Mo6Qqrj/+vbMyM8AMA4zAMMww7IvsO4QdWeQgggZxQ4/gEpcoLnGJifgjLrhGIoISAsYgRERAJcRI/CGEKEuQsIoIjMgPZcQRYRxh7Lm/P+6rrtfd7/V0z9ZMd33O6fP61av3quotdavuvVWFJVa0JYig3aKoSHoDbjRrBng8ZgZVg8EQfUR0YjsiygPQHcDHAC5g5uPWoa8g6qWI8MMP0htwo2VL2e7YUTP5MRgMhpoiYkKBiOoCeBPAnczss2gPMzPE3uB03o1EtI2IthUWFlZ5vn74QQavNWvmHqd9e9lWl1D46Sdt1zAYDIaaJCJCgYgSIQLhL8y80gr+moiaWsebAjjhdC4zv8zMvZi5V+PGVT+G7j+W863qDTjRtats9+yp8uQBAEOHSvrfm/XtDAZDDVPjQoGICMAfAexj5mdth9YAmGb9nwZgdU3nDdCtf9UbcKJXL9mq6bWrkt27gX/9SwbI/eMfVX99g8FgCEYkegoDIWs0DCeiT6zfOABPABhFRJ8BGGnt1zh798pW9QacyMqSabW//LLq07fPq7RhQ9Vf32AwGIJR7jiFqoaZNwEgl8MjajIvTqjWv+oNuFGnjkyvbef774HUVHdX1vL45BNg+3aZc+mLLyJvyD53Tjys6tePbD4MBkPNEfXLaoaLWlynvIV00tN9df5lZeKxNHp0xdNWvYQlS4CkpOpRT4VD165icC8ri2w+DAZDzVHjPYXzne+++hF1kwjYtgto0ABo1coxXlaW71QX69eL15AyVLvx449iN/Dn0CFg506gXTsxNDdqFNgTqWkOHwbOnhUhZRYXMhhiAyMU7DzzDDKLRqMPDgK9L5WwxYtlBjw/cnJk4rwvvhB1z5tvSvipU9KyjnPpg+XnA8ePOx8DgIULZdu6tSzm8+23QGZmxYtUUc6cEYEAAE89ZYSCwRArGPWRjbLXlqIAufgxowkwebIEvvWWY9w2bWS7fbts//Uv2TIDmzc7X3/rVhEIOTnANdcE/p5/Hhg0SOL26CHbv//d9xrhjqKu6HQcyvOJCNi3D/jmm4pdx2Aw1C6MULDx7b6vcAb1kDCwH7BihTT3d+1yjNvJmjdWTbP9+edSgQLA2287X/+hh2S7eDHw6quBv1/+UscdNky2H36ow373O1k32h4WjDVrgLQ0oHFj4N//Du0cxf/+r2wvtTpMv/lNeOcbDIbaiREKis8/x7GzMreF6gWgYUPg2DHH6Kol/+mn0oouKQG6dZMwpwq4rEwq2vR0YPjw8rMzcqRsP/lEhy1aJNtnngmM/9NPvvtffQVcfrkIqm++AQYMAK66KjCeG8o28sor4k21bFlo5xkMhtqNEQqKl1/GAbQDYFtcp21bUaw7zJPdpYtsDx8G/vpX+X/xxUBysl6Pwc68eUBpqVTUoZCaKtc6dEj2f/xRLxPqP35hzRogMRHo0EFsHGVlQP/+4lL65JMSv0EDYOlS6TX8M4SJ0D//XDygMjOBwYNlksBQeygGg6EWw8y19tezZ0+uMrp04Ql4i+OojIuLrbB77mEGmBcvdjwlIYE5N5f54osl2u7dzHl5zPHxgXHbtJE4X38depZyciQNZuYXXpDzk5Nle+CAjtetm4QBzHFxzBdeKP9HjNBxPB7ma6/V8SZOZD571j3txETmZs3k/+bNcs6QIaHn3WAwnL8A2MYu9arpKVgc3/8d3sV4dO9BSE21AseOle369Y7npKVJC/qTT0TF0qmT/DweUSspvvoK+Owz6XiUN/7BTps2ou45cULcQgGxKwDAs9YEIWfOiCtr8+Ziq0hMFDNIo0bAunX6WnFxco0tWyQPq1ZJD8CJ776TXo1ao7p/f+kxbNoUuvrJYDDUToxQAIB9+7Ds3CR4kOA1BgPQtabL4IOGDYHiYvEoys6WsCFDZGt3WnrwQdnOnBlettRyoH/7mxi0GzYUY3RcHPDOO3Js1ixp+990k3jOnjgB3HabeEU5jazu3Vvym5UFbNvmPDBNeTwpuwkg9giPB3juufDKYDAYahdGKAAoW/AK/oTr0Sjpe6+3DQCpVdPTXeexbtpUKsqyMl2BT5ok240brWuXic0hKQmYMSO8fI2wJv146SVpuY8aJVlq21ZGXn//vXgtxcUB990ncevXB+bOlbETbsTFif3D4wHeeCPwuLJZDB2qwx59VIzWL74YXhmqmrw8sZ0YDIbqwQgFAO+v+Ba70AUXXZISeLBlS9HRnDsXcCgvT/8fP162rVoB8fF6Wu3HHpPexOTJ7gPa3FBuqR9/LFvV05gyRbZ33ik9g379ROiEw913y3bBgsBjas6lEbaZqDIyRDVWUBC5tR7UOhP79zs+DoOhWoi1aV6MUADw+rGhSMJZPPZUYuBBNTPee+8FHLK3WNVYN0A8fI4fl5fpiSdESLz8cvj5SkqSifcAGZ/Qu7f8v+MO2f7pT7J95JHwr92pE1CvnhY4dg4fFs8n/yVJ771Xtg88EH56VYHd+0l5fBkM1cm5c/INKrVwLBDzQuG7D3diFS5Br5Q9yM11iDBqlGz9hxZDT69dt67vTKLt2snLdNdd0ku4+urgaz4Ho0kT2fbtq8MyM0V1BUi6KovhMnCgjHjeutU3/ORJZ4P41VfLB7JmTcXSqyzvvqv/m3EThprg3XdFdfvhh7EzgDPmhcKzM/bhOzTAFePPOEdQeiGHJrXqRHgHu1kMGCDbuXPFBjBvXsXz106GTmD6dN/wMWNka++hhMutt8rWbjw+cULUNP5lAkT9NXq0CLq33pKxDK1bi8fTZ59VPB+hoh5BQoJ4URmqhtWrxXRmV4cahFWrZJuQAMyeLR54UY+br2pt+FV2nEJJUQm3xOfcFvu5tKTUPWJKCnNmpuOh++5j3rHDN0z59QPM06dXKot88CDzbbfJOAM7p07JuAPvmIoK4PHIeITGjXXYkiWS73vvdT5n7145npkpYyJUOfv3r3g+QqVxY+Y6dZg7dpQ0S0qqP81opriYeeRI/QzDHUcTC7Rty0zEvH693J/UVPn2ajsIMk4h4hV7ZX6VFQoPtXuDAebH+7wZPKJ6M/xrZhc8HomemHj+V1w9e8pbcPy47E+fLvvr1rmf07SpxElJYV62jLlFC9nfu7d68xoXx5yfz3znnZLewoXVm54bBw5I2S+7LDLpVxW5uXIfc3KYb7pJ/j/2WKRzdX6RnKwbTfffL/do+PDI5qkqMELBgeLCYs7FYe6APewpLaeyv/xyuVVbtoR8/dmzmZcvr3D2aoznn/ftGfTqJfvBRjtv3Mh8ww26l/Luu3JO797Vl89du9g7Env3bvk/enT1pedGaalUEqplfehQzeehKjh1SvLfvr3sHz8u+/36RTZf5xNHj8o9GTZMh6WlMWdkRC5PVUUwoRCzNoVH+69FAfIw/WefIi6hnNugfEOdnPpdeOgh4Oc/r2Dmbr5ZJj8642fnePllcUlyWqWngtx0k4w/eOopII7KsH1bGfLoSFAX10GDZN0HNfJ73Djx3N26VbJ25ozcMiL33xN+K3CfOCEeVtde65zm6tWyHTJEPKeSk2XwXTjceKPcvi++CO88O2PHyuJHysnALb/+DB8uzgZqZHqkefVV2U6cKNsmTcQbzWVS4ABmz5ZnUJl7GWnWrxd72F/+4nz89ddla3fkyMnRa6ZELW7Sojb8KtpTOH38NOeggDvjv+X3EpiZT58WfVB2doXSCwuPRxTnAPOcOb7H2reX8BkzqjTJ39z/I19e/298L57ke/EE/xNDmRctCusa770nWcvO1tlv2pS5b9/AX3y8qF/s2rixY+UcIme99ujRcvzIEdlX8zudPh1a/pYt0637228Pq2hennlGzs/Nlbw3b84B81C5ER+v0+/dm/nkyYrloaoYNiywpzNwoIQdO1b++ZmZEveBB6ovj9VN795ShjZtnI8re4t655iZp06VsE2baiaPblTWrgGjPvLl7ry/MsD8+xGrQj+pe3e5Xfv3Ox8/epQ5PV2sv/60acPcqJFYq8pDWXoB5q5ddXhpqbbstm7te85HH4kBY8GC0Mtjp0kT9iqXP/hAauZGjcK+jJr0Ly6O+cEH3eMpu8X998v+sWOSZFKShI8dG3iOfXJAZlF3Aczz5jFv3SqT97nJ7IICOTcuTtLJzQ27aHz0qJyflKTtL6tWcUgqlw0bJN7Ikczt2sn/OnX0daqawkLmevWYJ092j5ORIYLZzpw5krdHHgl+/U2b9CvarZt7vC1bJI1Zs3zDd+wQg+0ddwRPx4590kf/X/36IZv7vBQX+zpKOD2LrCx53nYWLvR9dyNBQYHk4aqrKn4NIxT8eO2av/HkOu+E1ktQrFght2vSpMBjHo/USIA0CUttnkz2LyiU6Uk7d9ZvekKCftsXL9bX8J+G9ZJLJDw9PfyvY906OXfQIB02bpyEzZ8f1qX27mWeMMG3ZeVESYnIsDp15FapFtmiRSKLiAJbq/ZZW5mldQ4wN2jge3v9W3Aej5ynBIgSXOF6bY0YwY4T5ipj7e7d7uded53EWWW1QZTBMi8v/McVChMm6Pvx3HOBx0+elGP+n48K79Ur+PVVLyMpSZ6hG0OHsrf3t3GjhJWUyGuqGg9FReWXp7RUrpGaKnm2/9RnN3du+dex8+tfy3l9+8r2+ut9jytnEf/2V2GhxB88OLz0qhKV92eeqfg1jFCoKlJTnb+CSZPkVmZkyPbJJ/Ux9QXNm6ctlHXrinXWn6Ii3ZS95hqJu2KFHBs0SPbVl7Zhgz5PpeukciqP/v3lPLtf7ddfSz4aNHA+Z/Jk0R9UwrXqllsk2WnTJKmsLAlftEjCR43ScY8dY0evD6WmSk+X1igQ6BF0/fUSPn687D/wgOw//XToeT1yRPLYpEngsbVrfYWSU8+hZctA57XhwyXulVfKfmEhc48eEk9dJyGBefv20PPJrB9derpU2nFxzDt3+sZ5+mm5/sMPB56fni6vuWL8eAk7elT2S0slXw0aaGHu1HkuLdVqQkC7cqrXTWlCg/VmFEuXStybbnIur1PnuTyaNpX7VFws96l+fd/jH3zg+3zsJCUxX3CBb9iFF8qvMpSUMF90ke87EBcXWFX06CHHQhGobhihUFVMmSK3bOlSHab6k02aSFPLrp+wf0HMUivcfLN+6qNH+1ast9+uK/YdO9irc2CWGjA9XessrrtOwg8eZG+zLz5e9AahNj/PnpW3TtXIdlTv4/nnfcOVYh1g/u1vQ0vHJWmlLgKYX3tNH8vKkltUUCD78+Y5V2Lz5olwUR2zpKTA4SQpKXLr1C1RlUgwtYc/Q4bIOcuWOR+fMUOu162beKfY1REej9zinBzfc0pLmRs2lLhTp8projR43boxd+ki++FWNMo2M38+88qVuq1if81U+0LdX6eyHjki7qnq+WRnS1nU4//FLyQNQJYd8UcJnttvl7E89jZTu3ZyrfR0uTfl2VdUz8fN+U+p5EKxhTBr7zVVfYwZI/t2N+xf/ELCnDwIc3N9O+vqnXKLHwrLl2sB2rixvANdu8q+/zomKSmV94AyQqGqOHTI90udM0fe6oQEbbFT6p8jR/QXdMstvtfZtUv3e1NSmN94Q8IzM33VT2lp8tu4UeJOmKD7tS1bShzV5F60SFvBZs8OrTyqee00Uu3kSSlbcjLz6tUStmOHVqxXgeH9jjsk+aZNfcNfe01XRIcOSesfYN76Ual8kU2ayAhBP/r08a3sli9nx9ZoVpavZs7OypUiRMaNE8GlZG6oRV2wgH3UEcoAP3VqYNz9+7UBOiEhUP6q1vRHHzmn9d57ktcRI6TFq2wzdnPQjBlyjQEDdFi9evJaOaFclKdMkWvVqaM7u5MmyWsHyOtRXOwuuPLy5HzVmlXjYVJStBBQC0ddconsL1smgmLiRN9rZWWJ+tANJZxUO8lOcbHcn6QkEVAejxYySp23fbvs2wdgKqHs1BlWi2qpHpJSBzq9y4MHSy/E3o4sLJT7QaR/qlfgL2Dr1/e1/aj30e4mWxGMUKhKWrSQp6i+2MREXakzM//5z7oWsH9BTsycqd8I1Se0NwtGjWKvPgKQWoBZmpNxcfKGq/+lpeKKEx8vX3wovYXmzSV9Nxee2bN1/kaO1MrgVat0ft0M7yFQWiqVr5Mnx0UX6Q8lLc1Svwwbob8+dY9t9hvVo7jzTtlXxkl/7yClmVu50jf82DHf3ktamgyWc4rrhsfjq4646io5f+1a5/grVsg9KCwMPKbMUR07Bh47eVKrz1Rl27atbh/YUS3pRx7Rrdo+fZzzo8YvqN/atVIm5Yvgn5+GDaXdYOfIEYnXubMOKy4WVZS/LM/MlGer1EqAVuswi2BW6iY3/O+5YulS3fpWwrdpU4nrLxSzsuRdU+a+tDR53Z1QBnmlJW7TRvKsemB//rOEq4Ub1W/AAOl9qV5hdrbco86d5VwnLzZl3lMNA9XrevFF9/sRCkYoVCX2PrWTb6FyKVXrZnboEPx6+/dLs0pd024rUP1/wNcNQvUIlCrJ/sVMm+ZbMyqOHhU1VpcuotvYv1/ide8ePH+7d4vgUfm4+WbfvF16aeA5paXSPI+Ply9N9abefjt4Wn4sXaorvtxUqzbLy5Oek/KJzMjwenWdPSsfZ16e9iLuUvegfN02weevmWOWx6ZGZj/3nPRilDz0V/2Uh1LhrFsn11TyuyJ06iTXUoZahTKYz5olFYXypHHSBJ48KZUjkV6S9X/+xz1NZby3v0KHDunKzC50lOpl1y4dduWVErZkSfnlU618gLlVKz2yWnn3KGe88tyI7SqgU6e0e21cnFyrpES38IFAW4GqwIn0vezb1zkt5eSgepNKY1xQoO1jqoeYlib3pnVrnbZTr9ANZbOaMkX2VQ8mVFdsN4xQqEpKS+XtCubHP3GifgNC9fefNUsqdDsej/4S7W+oelOUCsqubC8u1ortDz7Q11FO9arZ1KqV/FeG7PJ48MFAHzhleLfXeOvWiX4CkMq4fXvdq6qAJa64mPnai/6PP8QgX39Ql0WnW7eWD1Oppt4i61ncd5/PdZVmTqHMRXYD9969YtffujW8PCuh06+fVDAVcYFVbNki12rXTofdcIOEDRyoww4eFOO1v/BQvP++vlVAcHfYBQsCX0Vmee2mTvV93MoxwO5empYW+FoEY+pUrfEsKZF7poz6qqXsbyz3R93z7GzdHsvPl/tiZ906uU/+bbniYumtqNe1c2f9+TgRHy/PVQk1VX7VuU9IkPfQ3guePVuOO/UKg5GYKD0yZimbyzRsYWGEQk2jZo1LTq68z6HSgdjdQ5X1Un3h/m/4xo3yRqakiFJ38mSJN2aM6FiUjsTuZlIRrriCvf3lkhLfEWgzZviWXand7C4TBQXyhgcbAbV2rdYBKNuGnS1bpGkGMGdm8q/u+tHbQqyH7/knODehledMfLxWLTRu7OtNXBlUlgDnoSteZs6UhJV7j+Lxx6XJvnu3t3Voz2tGRnDPZifU2I66dcMujislJeztENvltL9dIByUbWjnTrk1/mMF3OhY56CoiHBMGgMpKeF744VIkyaSL+XSquxYyq4DVMoPwwdlj1EeURddVPlrGqEQCaZPD72PGIzNm6V54V9bKQd5f8uW4uGHdU2nKkV1jaIiUfBWdLCbQimPmzQRAaPy4z9tLLNUcv46CWXBVMprOyUlWidA5Ow/qfB4vALqZJch3kvOxNOiaFY2GVu+du0S1UybNvLr2TOwVVkZVAUMBBmzqIz5gPTklBDdtEnXLD178v79vnnt1i34uIhgTJtWOf92J7KyRFgpbyq7C2tFUHNpKbuS3TbhysKFvBsd+d64p7iwZU+5UYmJ7FWvOrlaVQLlpZWQENhynzNHZjauKpRBXmlxX3ml8tc0QiEaUU0y/1E3dlQzJj6+ams8O0o4ETHfdZd7z+jsWV1zMGtProwMOTc5WferV6zwFTLl6Q4UludXm9QvGGA+gNZSA6oBevah0nPnSpoJCYG/5OSwB+75c/qUh+vie26EE+z52EX/pNSMSrU3ebIoxJX6T9WyTkK2uigoEEtyTk7II/zGj1cCsIxvb/UO/5RWP7hv5qFD4iLlb/eyUbeuFqozZ/odHDZMBgooaXvggLxbdi9AZhG6qtsRHx/o0fD22/KeqeeemBg4uHTJEj2QVP0uvJAfvLXIm7+gYy3GjZOGmdO4JGZp/IwbJ5LUZVBKSYnv2IXKTJevMEIhGjl6VJSgwZTDJSXij6d876qD998X5XYoXkg/+5m8ch99pF01li/Xxvv8fN17IJJKIxz126lTzKmpvBl9+Snc7evMXa+e9Pc9Hu1am5Agafr/lIG8os1xZuapU3kVJvAKXCrlue4637LYBwiWlmp90wUXyPbee7UhIJxBFZXh4Yd91ZLlDW22OHCAeeiFhbw3o58+NyHBuXXu78rkYtOym4t8Xq2ZM/UBpadSvWE3y7YaS5SWpi20x49r12r13OvXl3j16ol/rGpUqTnb8/O988YfjGvtzYKbHYcfecQ3r2PG+Pq4rlypGwCApO8yIFR5wdnXPqkMtUYoABgD4FMABwHcX178mBYKtRGlFFXurHbn/8GD9ceRm1txV9cNG3Szyj73gZpr4sUXtWutm5+pGuDQoIGz4n7FCjmWmKh/Xbvq0VPKLblRI+mlqPQaNtStVWVBnTdP9g8e1AYDu0eYcjMK19qtePttyUfPnu4r6Bw4oN2nk5NlLg+1klF5M975G/wvvVTrO5o1CxTqqtyDBkllm5iodU3vv+8dlPBtQiOugx+4BR3Rvpp2l54NG3wNN5dfHjyfSp/XtavkSXn82Wcf8B9cCoiF33/elvnz2ZOQxA1wkjtgj34H8vN1Q2LzZj3QY8MGvQiJKrNSbSmvCDXeyMVX+NF+7zDA/Aj9Vp9fCR1VrRAKAOIBfA4gH0ASgJ0AOgY7xwiFWoh9Sg57pXz2rChqf/3ryqcxf36gq6yaK0N98E5zJthRrr32SW5On/ad0KdFCz2YTqko7rlHWsnx8VqwlZZq9ybVuiXSqjTFypXSm7L7G6rZ9ML13FJzJthbqgkJgQaFe+7R92TwYJ12UZFW4bm54WzYoP1Xba7BzKz9P+0W57lzdWPA49Ej5XJyfCdssu7rs6kP8hpcLPm77TapYO0uPR6P+KqOHRtaj1JNaql8j91Wy9m5U4To44+7X6uoiGc1m89L02+Sd0B5AhLJu6V6AGpskccj9zo3V/+6d/ddmapDBznHPpvkwYPM+flcgmS+DS9wQdM++ny7QAuT2iIU+gP4u23/AQAPBDvHCIVaiHJEb9Gi5tNWzuLBRkIpPB7ttpuUJC1opVpp2TJwpNGCBb4j35yM+Js2aTsBEPrSccqlNzk59J/Ka3a2WNVfeEG3TlV51H5KirMNQPW6lM3H/6fKceWVgY4QdjWRPX5ioq9aSc2JrlRn/np1+/wPQOCUq+Fw+rQ2VjRsWHWuZorVq33VQU7zfwSjqEiXVd0zJbCHDKn84AQbtUUoXAZgoW3/GgB/cIh3I4BtALa1iETFYqgcRUWiPnKYpqLa2bhR7B+hziRWWCjqhuxs+eXkBPeCKioST7EgBlT2eEQwqhn6QmHHDhFEKh+h/HJyAqcvKSyU3oA93oQJwSc2nDtXruWURvv2wZ/jkSPiNqXswPTEAAAH20lEQVTi5+UFDmAsLZXel5qDwomSEulxBPXtDZGtW8VWUomR+EE5e1ZUWWq0Wbhs2iSNF3XP8vOrZQnHYEKB5HjkIaLLAIxh5unW/jUA+jLzbW7n9OrVi7eFu/yWwWAwxDhEtJ2ZezkdO5+W4zwGIMe239wKMxgMBkMNcT4Jha0A2hBRSyJKAnAFgDURzpPBYDDEFAmRzoCCmX8iotsA/B3iibSImfdEOFsGg8EQU5w3QgEAmHktgLWRzofBYDDEKueT+shgMBgMEcYIBYPBYDB4MULBYDAYDF6MUDAYDAaDl/Nm8FpFIKJCAAVhnNIIwDfVlJ3zmVgsdyyWGYjNcsdimYHKlTuXmRs7HajVQiFciGib2yi+aCYWyx2LZQZis9yxWGag+spt1EcGg8Fg8GKEgsFgMBi8xJpQeDnSGYgQsVjuWCwzEJvljsUyA9VU7piyKRgMBoMhOLHWUzAYDAZDEGJGKBDRGCL6lIgOEtH9kc5PdUBEOUT0ARHtJaI9RPRLKzyTiP5BRJ9Z2waRzmtVQ0TxRLSDiN6x9lsS0cfW815uzbwbVRBRBhGtIKL9RLSPiPrHyLO+y3q/dxPR60RUJ9qeNxEtIqITRLTbFub4bEl4wSr7f4moR2XSjgmhQETxAF4EMBZARwBTiahjZHNVLfwE4G5m7gigH4BbrXLeD2A9M7cBsN7ajzZ+CWCfbf9JAM8xc2sARQBuiEiuqpffA1jHzO0BdIWUP6qfNRFlA7gDQC9m7gyZUfkKRN/zXgxgjF+Y27MdC6CN9bsRwEuVSTgmhAKAPgAOMvMhZj4HYBmASyKcpyqHmY8z83+s/6chlUQ2pKxLrGhLAEyMTA6rByJqDuBiAAutfQIwHMAKK0o0ljkdwGAAfwQAZj7HzN8hyp+1RQKAFCJKAJAK4Dii7Hkz84cAvvULdnu2lwB41Vpp8yMAGUTUtKJpx4pQyAZw1Lb/pRUWtRBRHoDuAD4GcAEzH7cOfQXggghlq7p4HsB9AMqs/YYAvmPmn6z9aHzeLQEUAviTpTZbSERpiPJnzczHADwN4AuIMDgFYDui/3kD7s+2Suu3WBEKMQUR1QXwJoA7mfl7+zFr0e6ocTkjovEATjDz9kjnpYZJANADwEvM3B1AMfxURdH2rAHA0qNfAhGKzQCkIVDNEvVU57ONFaEQM+s/E1EiRCD8hZlXWsFfq+6ktT0RqfxVAwMBTCCiIxC14HCIrj3DUi8A0fm8vwTwJTN/bO2vgAiJaH7WADASwGFmLmTmUgArIe9AtD9vwP3ZVmn9FitCISbWf7Z06X8EsI+Zn7UdWgNgmvV/GoDVNZ236oKZH2Dm5sycB3mu/2TmqwB8AOAyK1pUlRkAmPkrAEeJqJ0VNALAXkTxs7b4AkA/Ikq13ndV7qh+3hZuz3YNgGstL6R+AE7Z1ExhEzOD14hoHET3rNZ//l2Es1TlENEgABsB7ILWrz8IsSv8FUALyKyyP2dmfyNWrYeIhgK4h5nHE1E+pOeQCWAHgKuZ+Wwk81fVEFE3iHE9CcAhANdDGnpR/ayJaBaAKRBvux0ApkN06FHzvInodQBDITOhfg3gtwBWweHZWsLxDxA12g8ArmfmbRVOO1aEgsFgMBjKJ1bURwaDwWAIASMUDAaDweDFCAWDwWAweDFCwWAwGAxejFAwGAwGgxcjFAxRBRFdQERLiegQEW0non8T0aWRzldVQERnIp0HQ/RjhIIharD8tVcB+JCZ85m5J2RAW/PI5izy2Eb7GgxBMULBEE0MB3COmeerAGYuYOa5gEwSSEQbieg/1m+AFT6UiDYQ0Wqrh/EEEV1FRFuIaBcRtbLiNSaiN4loq/Ub6J8BIrqOiFYS0Tpr3vs5tmNnbP8vI6LF1v/FRPQSEX1kpT/Umk9/n4pjO+85ay2B9UTU2AprZaW33Spfe9t15xPRxwDmwGAIASMUDNFEJwD/CXL8BIBRzNwDMiL2BduxrgBuBtABwDUA2jJzH8iI4dutOL+HzNnfG8Bk65gT3azrXwhgChHluMSz0wBAfwB3QaYteM4qz4XWyGVAJn/bxsydAGyAjHIFZK3e262e0T0A5tmu2xzAAGaeGUIeDAaYLqUhaiGiFwEMgvQeegNIBPAHq5L1AGhri75VzRdDRJ8DeM8K3wVgmPV/JICOoqUCANQnorrM7K/rX8/Mp6xr7QWQC9+pjZ14m5mZiHYB+JqZd1nn7wGQB+ATyNQly634rwFYac2IOwDAG7Z8Jduu+wYze8pJ22DwYoSCIZrYA2nBAwCY+VYiagRAzQNzF2Qema6QXvKPtnPt8+SU2fbLoL+TOAD9mNl+nhP2a3ls59vnlKnjco49bf/0/WErT98xczeXOMXl5NVg8MGojwzRxD8B1CGiW2xhqbb/6QCOM3MZREUUH+b134NWJcGm1gmVr4moAxHFAaiIR1Qc9EygVwLYZK2XcZiILrfyRETUtQLXNhgAGKFgiCKshUcmAhhCRIeJaAtk2cJfWVHmAZhGRDsBtEf4reg7APQiWRx9L8QGEQ73A3gHwGbIqmHhUgygD8li7sMBPGqFXwXgBqtcexCFS80aag4zS6rBYDAYvJiegsFgMBi8GKFgMBgMBi9GKBgMBoPBixEKBoPBYPBihILBYDAYvBihYDAYDAYvRigYDAaDwYsRCgaDwWDw8v+rgOnX3nT3NQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fKCpURQtyuSV"
      },
      "source": [
        "#Adam Optimizer"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "E7zhHZ-tzv6L",
        "outputId": "7dda7934-e817-4735-9ec6-32fac752641e"
      },
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from TabularQPlayer import TQPlayer\n",
        "from SimpleNNQPlayer import NNQPlayer\n",
        "\n",
        "tf.reset_default_graph()  \n",
        "\n",
        "nnplayer = NNQPlayer(\"QLearner1\")\n",
        "tbqplayer = TQPlayer()\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, tbqplayer)\n",
        "\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Tabular Q Player using Adam Opt\")\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 1, Player 1 wins: 20, and Player 2 wins: 79.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 20.00%, and Player 2 wins:  79.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 19, and Player 2 wins: 79.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 19.00%, and Player 2 wins:  79.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 18, and Player 2 wins: 78.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 18.00%, and Player 2 wins:  78.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 5, and Player 2 wins: 95.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 5.00%, and Player 2 wins:  95.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 0, and Player 2 wins: 100.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 0.00%, and Player 2 wins:  100.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8uSlXNUjchhi"
      },
      "source": [
        "#Less Greedy Approach used as a solution to overcome the limitations in the above approach used in NN Player"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MjY8c6MNgzCc"
      },
      "source": [
        "##NNPlayer plays first"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 423
        },
        "id": "M-bxyKcDQQa9",
        "outputId": "840beec5-d958-4abd-81ac-1ab59c839adc"
      },
      "source": [
        "%matplotlib inline\n",
        "import tensorflow as tf\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "from util import evaluate_players\n",
        "from TFSessionManager import TFSessionManager\n",
        "from RandomPlayer import RandomPlayer\n",
        "from EGreedyNNQPlayer import EGreedyNNQPlayer\n",
        "from MinMaxAgent import MinMaxAgent\n",
        "\n",
        "tf.reset_default_graph()\n",
        "\n",
        "nnplayer = EGreedyNNQPlayer(\"QLearner1\", learning_rate=0.001, reward_discount=0.99, random_move_decrease=0.99)\n",
        "mm_player = MinMaxAgent()\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "TFSessionManager.set_session(tf.Session())\n",
        "TFSessionManager.get_session().run(tf.global_variables_initializer())\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(nnplayer, mm_player, num_battles=50,silent=True)\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')\n",
        "\n",
        "plt.suptitle(\"NNPlayer vs Min-Max Player using less greedy strategy\")\n",
        "plt.show()\n",
        "TFSessionManager.set_session(None)\n",
        "\n"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "WARNING:tensorflow:From /content/gdrive/My Drive/tic_tac_toe_master/EGreedyNNQPlayer.py:55: The name tf.variable_scope is deprecated. Please use tf.compat.v1.variable_scope instead.\n",
            "\n",
            "WARNING:tensorflow:From /content/gdrive/My Drive/tic_tac_toe_master/EGreedyNNQPlayer.py:67: The name tf.losses.mean_squared_error is deprecated. Please use tf.compat.v1.losses.mean_squared_error instead.\n",
            "\n",
            "WARNING:tensorflow:From /content/gdrive/My Drive/tic_tac_toe_master/EGreedyNNQPlayer.py:68: The name tf.train.GradientDescentOptimizer is deprecated. Please use tf.compat.v1.train.GradientDescentOptimizer instead.\n",
            "\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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tM3EXkTGod09VVVWWZhhh5JZb4KabQCRoS5riHMycCePHt2w7110H998PNTVQXp4b20qBhx6C3/+++M5r0PToUVzi3oBzzomIy2K9scBYgOHDh2e8vhFeXnwRDj4YXnstaEuacsUVKsynngojR2a/nUmTYNMm+PhjGDEid/YVO59/Dh07wqpVQVsSDbLNlvlKRLoDeK/LvOlfAL1jluvlTTOMtKiuhk8+gSOOCNqSzfnd72D77TU0s25ddttYs0ZFHTQ0EyUWLoQ+fYK2IjpkK+7PA6d6708FnouZfoqXNbMX8I3F241MeOklfS1GcW/XDu6+G+bNUw8+G6ZNU68dTNyN/JJOKuTjwHvAIBFZLCKjgRuAUSIyDzjE+wzwIvAZ8ClwL3BOXqw2QstLL6kADBkStCWJOfhgOPlkuPFGfcLIlMmT9XXAAJg+Pbe2FTvV1SbuhSSdbJkTksw6OMGyDvhVS40yosl338Hrr8NJJxV3o9vNN2u7wJgx8PbbUJbB8++kSVBVBaNGwcMPqxefyfqlyurV8O23Ju6FJAKXlVEqvPMO1NYWZ0gmlm7dNJvnv/+FceMyW3fyZG1EHTZMs2UWLMiLiUXHQq8wrSXGFQ4Td6NoePFFaNu2ZZkoheLUU+HAA+GSS2Dp0vTWWbECPvtM096GDtVpUQnN+OJunnvhMHE3ioaXXoL99tPOQsWOiDaurl0LF1yQ3jp+vH3ECNhpJw3HRKVR1cS98Ji4G0VBMadAJmPQIE2PfPJJePnl5pefPFlvCrvvrp2XBg6MlrhvuSVsvXXQlkQHE3ejKCjmFMhUXHop9OoFd97Z/LKTJmkWUGWlfh46NFphmaqq4m4oDxsm7j5PPAGvvhq0FZHlpZf0x1+sKZDJ2GILOO44+Pe/tTE4Gc41Nqb6DB2qord6df7tDBrLcS88Ju4+V1+tf0bB8VMgjzyyND27Y4+F9evhlVeSL1NdrYWzYsV92DB9/fDD/NpXDJi4Fx4Td5/aWn1Grq8P2pLIUSopkMnYd1/o3BmefTb5MpMm6WtsgaioZMysXas3NhP3wmLi7lNbC3V1MHdu0JZEjpdeKp0UyES0bq1lW194IXk528mT9Rh32aVxWvfu0LVr+BtVq6v11cS9sIRS3L/+Gs45J4NYpnONAdOpU/Nml5GYF18snRTIZBx7rF5vb72VeP6kSRqGadu2cZqITgu7uFsaZDCEUtzvukv/0m4fXbeuMRwzbVre7DI2pxRTIBMxapQWFpswYfN59fUwZUri8r5Dh2qVyGIbmCSXmLgHQ4vruRcbmzbBfffp+9mz01wpNs3BxD075s2Da67RbpiJOOccjV3EUaopkPGUl8Phh8Nzz8Hf/ta0Xszs2VrqN5m4r18Pc+bAjjsWzt5CsnAhtGoFPXsGbUm0CJ3n/sYbOigAwKxZaa7ki3tlJXzwQWNNVqN5NmyAP/0Jdt4Znn9eY2LxfxMnwqOPJly9VFMgE3HMMfDFF5tH9hI1pvr4GTNhDs0sXKjC3jp0rmRxEzpxHzdOMxcOPDALz33ffbV03fz5+TIvXEyaBMOHw+WXww9+oF/4++9v/jdkiDZWx1HqKZDx/OAH6qHGh2YmT9ZxVwcO3HydwYM1Dh/mjBkr9RsMoRL3FSv0h3XyyeoRzZmTphPui/v+++urhWZSU1OjBVX22gtWrtQcwKef1vSPRJSXJxT3Uk+BjKdzZzjggM1TIv17YKLSvm3awA47hN9zN3EvPKF6UHr4YfUGzzhDy7HW1cHixWmUGa2p0dc991Q3ato0+OlP825v4NTWwh//CO++m9l68+drKcRzzoHrr1e3NBXl5Qm7b778cmmnQCbi2GPh179Wx2LQIG2rnzEDLr44+TrDhjW2PYSNjRv1N2jiXnhC47k7B/feq87kTjvp4y6kGZrxhadzZ40dR8Fzf/FFbcH785/1c9u26f8NH65u99//3rywQ1LP/bPPoH//0k6BjOfoo/XV995nzFCBSzUQ9tCh8NVX6ZcOLiW+/FKzhUzcC09oPPf33tMGVH/wBF/cZ82CQw9tZuXYBtXddtMQg3PhCATHs2wZnH++1tIZMkRF+nvfy+8+k4h7XR20b5/fXRea3r313jdhghYVS9WY6uP3VJ0xA7bdNv82FhIbpCM4QuO533uveoB+NGXrraFTpww994oKFfdVqxqvyrDgHDzwgN71nnlG6+h88EH+hR0iJe6gWTPvv69e6+TJ2hSRKg0wVtzDhuW4B0coxP2bb+Cpp+CEExof8UVUxzIW99131/dhCc0sWqSJ1/vsA7/4hYZipk+Hq67SkoaFIIW4l5cXxoRCcswx+vrcc+q5jxiR+iGwc2f1+MOYMWOee3CEQtwff1yF4swzm05PW9xravTX166dxtxbtSrtMgRz5mju+YgR+qs67zxN8bznHu0fX+ik8oiJ+w47wIABMH68nopUIRmfoUPD67l36xbO81zshELc771XCzINH950+uDB2kjVbI2Z2lr12kV0uJgddywtz905vRldcYUqy+DBmnsOKvKzZ8PMmTBmTOJ8vHxTXq7dMOMqboZV3EUaQzOQujHVx0/dXbs2v7YVGkuDDI6SF/dp0/TvzDM3f/RNO2OmtrZxeBzQuPvUqSqaxUp9vXrhF1wAffvqne2GG7RF7vbbtefIpElw2WWakxckvoLHKVdYxR00JdIn3ulIxNChekpnzsyfTUFg4h4cJS/u48aps33iiZvP86MPaYl7bD7e7rvD8uXaIlZs1NdrCmKPHtoN9+67VRnuv18fU954QxOte/cO2tJGfAWPC82EWdz33FPvswMGaMN+c4SxUdU5650aJCWdCllXpyVLfvzjxD+gfv20B2DG4r7bbvo6dWpxVTv6+GN9RPnf/7Tnz9lna7Wq2KeOYiSBuDsXbnEvK4M77kh/+f79NXMoTOK+fLk+rJm4B0NJi/s//qHthGeckXh+69bqOTUr7jU1TcV96FD9dU6bBj/8Yc7szZp16+Daa+HGG6FjR+2Ke+KJpZOHn0DcN2zQh5Cwijvo2KrpUlam7UZhypixNMhgKemwzLbbqsb5JWESMXhwGtUh4z339u11xWJoVH3rLb3ZXHed5nrOmgUnnVQ6wg4JxX3NmqazDD3NH35Y3E09mWDiHiwlLe6HHQaPPJJa54YM0VIo332XYkPxDaqgoZkgxX31as1uOfBAdXNfeQUeekjHZSs1Eoi7/9bEvZFhw7TPRlj6z5m4B0tJi3s6DB6sj/8pq/jGe+6g4v7FF1r0o5A4p/GmIUN01JGLL4aPPkqjhkIR43dDNXFPiT9YR9qlqouchQvVZ+rYMWhLokkkxB2a+cEkE3corPe+aJFWnjr+eM2GmTwZ/vKX0u+j7yu4H4vBxD0Rfr33OXOCtSNX+JkypRRBDBMtEncRuVBEZorIxyLyuIhsKSL9ROR9EflURJ4UkbbNbyl/+CneScXdHxw7Xtx33VVfCyHufnrjDjvAa6/BTTdpDxj/BlPqWFgmLbp1gw4dYO7coC3JDZbjHixZi7uI9ATOA4Y753YCWgE/A24EbnXObQ+sAkbnwtBsqayEXr1SNKr6g2PHi/tWW2mqTb7FvbZW0xl//Wut/zJzJlx0UbjGJDNxTwsR9d5N3I1c0NKwTGugnYi0BsqBJcBI4Glv/njgmBbuo8WkrDETWzQsHr+nar5YvRpGjYI334SxY3X0in798re/oDBxT5tBg8IRlqmp0eKqJu7BkbW4O+e+AG4CqlFR/waYCqx2zm30FlsMBN4LyBf3hClmsbXc49ltN3U/Vq7MvVHLl8NBB+nN4x//SFw/ISyYuKfNwIHa9JKgzlpJYZkywdOSsEwn4GigH9ADaA8cnsH6Y0RkiohMWb58ebZmpMXgwepJLFmSYGYqz90v//vBB7k16MsvG0fwfv75poVIwkibNhpmSiDupd5WnGv8RtVPPw3WjpZi4h48LQnLHAJ87pxb7pzbADwDfA/o6IVpAHoBXyRa2Tk31jk33Dk3vFu3bi0wo3liR2XajFTi7jeq5jI0s3Ch9rqqrtYwzOFp3w9Lm7iyv+a5J8ZPACj10IzVcQ+eloh7NbCXiJSLiAAHA58AbwI/9pY5FXiuZSa2nJQFxPzBsROJe+fOWnEx00bV+nrteBT/N3s27LefhnlefRUOOCCz7ZYyJu5psf32+lrqjaoLF+pwu2EbNrCUaEnM/X204XQa8JG3rbHApcD/icinQBfgvhzY2SK6d9eQekJxT+W5g9Zr/de/4LTTNISSrOD20qU6GMZhh+mgH4kGlh4yRNd/800dyTtKJBH3du0CsqdIqajQWnVhEPfevYMZPsBQWpRv55y7CrgqbvJnQBrDExSOlEPupWpQBS3W1a6djpk2frwGiQ8/XKtCDR2qZQGeeQbefVdbbLffHs49F7p02XxbZWXaQal//5wdW8mQQNy33NJ+/IkYNCgc4m7x9mAJUTJ1agYPVod5M5rz3LfbTmu6bNgAEyfqsPYTJsA//9m4zLBhOuD0ccdpH/KwZr20hATibiGZxAwcCE8+qb5CqV5KCxdGpzmpWImMuA8ZopVya2rinPTmxN2nTRvNSR81SnuTvv++djg6+OBw5qbnGhP3tBk4UHPEV64szTpx69drZpp57sESmYdiP2NmsyyE2MGx06WsDPbeWwvJm7Cnh4l72vgZM6Uamlm0SF9N3IMlcuK+Wdw9dnBsI3+YuKdNqRcQsxz34iAy4t6/P7RqlUTci32YujAQJ+5r1pi4J6NvX40ClqrnbuJeHERG3Nu2VYFP6rkb+cU897Rp3Vqv1VIV9+pqfRDu1StoS6JNZMQdtFF1s16qJu6Fobx8s3ruJu7JGTiwdMMys2Zprn7bQIt9G5ES98GDYd482LgxZmL84NhGfmjfXhXdq95m4p6agQO1vkx9fdCWZMaqVdrX76ijgrbEiJy4b9gAn38eM9E898JQXq7Cvn49YOLeHIMG6VflZ56UCo8+qkMknHlm0JYYkRN3iIu7m7gXhriyvybuqfEzZkop7u4c3HuvVsr2a+4ZwREpcU+YP2zZMoXBxD0jSjEdcsoU+PBD89qLhUiJe8eO2or/zTcxE81zLwwx4l5fryEHE/fkbLONjvRYSp77uHF6Tk84IWhLDIiYuIuojvsVB5IOjm3knhhx9wtr2kAdySm18VRra+Gxx7QuXocOQVtjQMTEHeLEPdng2EbuiRF3q+WeHqWUDvnUU/q7OuOMoC0xfCIp7v74HGkXDTNajol7xgwcqB2Ckg0hUEzce6/2I9lnn6AtMXwiKe4NnntztdyN3GHinjGDBmnkcP78oC1Jzccfw//+F+4x3kuRyIl7ZWUCcTfPPf+YuGdMqWTMjBunvVFPPjloS4xYIifuCT13E/f8Y+KeMQMG6GsxN6quW6fjJBx7bGnWng8z0Rb3VINjG7nFxD1jKiuhR4/iFvcJE+Drr60htRiJpLhbg2oAmLhnRbFnzIwbp+PVjBwZtCVGPJEUd2tQDYAtt9RXE/eMKOZc9/nz4Y03YPRoG+i8GIncKfHF3TnMcy8kZWU6lKGJe0YMGqRjqa5cGbQlm3PffXpaTz89aEuMRERO3Csraej+buJeYLwBO/yy7ibuzeNnzMybF6wdiXjmGTj0UG0XMIqPyIm7r+O1tWQ3OLaRPd6AHea5p0+xpkM6BwsWwM47B22JkYzIintNDTY4dqHxPPe6Oh3Ptk2boA0qfvr102H3ii3uvny5Pv1WVQVtiZGMyIp7bS1W7rfQeKMx+eV+7Z7aPG3awHbbFZ+4V1frq4l78WLibvH2whHjuVtIJn2KMR3SF/fevYO1w0hO5MTdd9RN3APAxD0rBg3SBtVNm4K2pBHz3IufyIn7Zg2qJu6FI0bcrZZ7+gwcqN38Fy8O2pJGFi3S09m5c9CWGMmIrLg3aVA1CoN57llRjBkz1dXqtVu7SfESWXG3sEwAmLhnxU47acbM7bcXT2jGF3ejeGmRuItIRxF5WkRmi8gsEdlbRDqLyKsiMs977ZQrY3OBZcsEiIl7VnTtCrfcAi+8ANddV+Cd19fDiy/GFGRSqqutMbXYaann/lfgZefcYGAoMAu4DHjdOTcAeN37XDT4KQqp85UAACAASURBVHjmuQeAiXvWnHsunHgiXHUVvPRSgXb64Yc6tNL3vw/33NMwef16WLrUPPdiJ2txF5EOwP7AfQDOue+cc6uBo4Hx3mLjgWNaamQuaRgku8YGxy445eXw3XfU1TkT9wwRgbFjtUfoiSfCZ5/lcWdr18Lll8Puu8Pnn2sP7pgdfvGFvpq4Fzct8dz7AcuBB0TkAxEZJyLtgW2cc0u8ZZYC2yRaWUTGiMgUEZmyfPnyFpiRORUVUPtNvQ2OXWg8Ra9bY+KeDeXlWs/FOTjuOBrKOOSUN9+EXXaBP/0JTjoJZs3SXEw/9xFLgywVWiLurYHdgLucc7sCa4gLwTjnHOASreycG+ucG+6cG96tW7cWmJE5FRVQs3pj4wejMPjibmGZrOnfHx59VCMmZ5/tVTfNBWvXau3ekSN1o6+9Bg88AF26qIovWtSwqIl7adAScV8MLHbOve99fhoV+69EpDuA97qsZSbmHvXcvbQDa1AtHOXlOKBurZi4t4Ajj9TY+8MPw5135mijV10F998Pl1yid46DD26cV1WV0HPv1StH+zbyQtbi7pxbCiwSkUHepIOBT4DngVO9aacCz7XIwjxQWQm1NZ64m+deOMrL+Y62bNpk4t5SrrxS2zkvuADefbeFG5s+XdNxRo+GG2/c/LGqd29YvRq+/RZQcd9668bxV4zipKXZMr8GHhWRD4FhwPXADcAoEZkHHOJ9Liq0QTXmg1EYysupo9x/a7SAsjL13Hv3htNO0x6sWVFfD2PGaFfTP/858TJ+/MULzSxaZCGZUqBF4u6cm+7FzXdxzh3jnFvlnFvpnDvYOTfAOXeIc+7rXBmbKyoqoHZNzAejMJi455ROnTSDZt68FuS/33knTJ4Mt96avJaAr+RePMY6MJUGkeuhCl6D6ppWjR+MwlBezhra+2+NHHDIIZrUcuON8MknGa68eLGmPB56KPz858mXi/HcnTNxLxUiK+616zxxtwbVwmGee1645Ra9jM86K8PyBOedBxs3qveeqkhM9+46ukp1NatXa/cQ651a/ERY3FtrjqZ57oXDxD0vdOsGN90E77yjg1anxXPPwYQJmiXTv3/qZVu1gp49obra0iBLiEiKe2Ul1G8qYz1bmLgXkvbtTdzzxGmnwYEHaibj0qXNLFxTo/UMdt4ZLroovR146ZB+uruJe/ETSXFvKB5GpQ2OXUjMc88bInD33dpB7MILm1n4iiu0hsDYsekPZOuJu3nupUOkxb2m/bZWkLqQtGvXIO42WEfuGTQIfvc7eOIJePnlJAtNmQJ/+xv88pew117pb7yqChYvpnqho00bzXM3iptIi3ttu8KWPYg8bdpQ10obsM1zzw+XXgqDB6t2r1mTYIE//EFLClx/fWYbrqqCDRuonruO3r01z94obiJ5ikzcg6OuTUfAxD1fbLGFVuddsACuuSZu5uzZWhT+V7+CDh0y27CXHlP92UYLyZQIkRT3hkGyt+gSrCERpK6NioqJe/7Yf3845RQduWnFipgZt96q6n/OOZlv1FP0RV+WmbiXCJEU9wbPva2N7lto6lpvBVhdknxz6aVakuCuu7wJy5fDQw+p6mcTMK+qYiOt+OLrdibuJUK0xd0LERiFo65VJe1arbeYbZ7ZYQc44gj4+9+9ujN33aVv/u//sttghw4saT+A+k1l1oGpRIjkT6whW6ZVUQ3vGgnqWlVQXpZtlSsjEy66CJYtg0cf3AB33KFlJAcPzm5jIlRvPRywNMhSIdLiXtsqw0Ylo8XUiYl7oRg5EoYOhVuuqcUtW5Z+h6UkVFfuCJi4lwqRFPfychA2UStWV6bQ1El7ylkbtBmRQAQuunATnyzpxMvb/Uq7sLaARVsOAKyuTKkQSXEXHBXUUouVHig0dZRTTj4G/zQS8dOOr9CDL7i53e9a3GGvWvrQia+pbG0351IgkuLOunUq7s66SRaaOtpRTqLeNUY+aHv7TZy31Xhen9md6dNbtq3q77ahN4u0VLBR9ERT3GtrqaCWmnpLti40dZvaUb6pNmgzosH06fDGG4y5sD3t22tp4JZQ/W0nqqhuMp6qUbxEWtxr661oWKGp27SFiXuhuPlmqKig0wWnMno0PP641gvLluoV7UzcS4jIinslNdRu3CJoSyLHmvotKa+vAeeCNiXcLF6sFcRGj4aOHbngAh3I429/y25ztbWw6ptWVLHIxL1EiKy4V1BL7Xcm7oWmbmNbbVDNekRnIy1uu03V/PzzAejXD447TuvO1Gbx4NRQx73jt40fjKImmuJeU+OJe5q1rI2cUbehjYp7nWXM5I1PPtHCMiedpKrucdFFsHo13H9/5pv0nfXePerNcy8RoinufoPq2tZBWxI5TNzzzKZNOphqZSX85S9NZu21F+yzjzr1332X2WYbBunoV2biXiJEWtxr17YK2pJIsXEjfLexFe1ZY+KeL+67TwdT/ctfEhYIu/JK+PzzzXS/WaqrtYZ7jwEV+sHaTIqeaIt7XZldowVkrdf3xTz3PLF0qQ6iesABcPrpCRc5/HD48Y/hj3+EefPS3/SiRTpGduu+vfRErlyZI6ONfBFZca+khvp6Yf36oI2JDr6em7jniQsv1O/1nntS9kb961+1rPvZZ6fvgFdXe2UH/MIy1qha9ERT3GtqqPB6SWaTOWBkh4l7Hnn5ZU19vPxyHUw1BT16wA03wBtvwMMPp7f56mpP131xt7h70RNNca+tpWLLDQDU1ARsS4Qwcc8TdXU6utLgwXDZZWmtctZZsPfeWt69yWhNCdi0SR31qioaq4aZuBc9ERb3ev+tUSBM3PPEH/6graT33KPxljQoK4OxY+Gbb+Dii1Mvu3y5ZtdUVQHduuk+TNyLnuiKe3vnvzUKhIl7HpgxQ8sMjB6tg6dmwE47wW9+A+PHa4gmGQ1pkFVoLL+qymLuJUBkxb2y/Sb/rVEgTNxzzPr1cMYZ0Lkz/PnPWW3iyithu+20cTVZp+GGDkx+HfeqKvPcS4AWi7uItBKRD0TkBe9zPxF5X0Q+FZEnRaRty83MMTU1jaMxmbgXDBP3HHPhhTBlio6P2jm7wd7btYO779a0yOuuS7xME8/df2PiXvTkwnM/H5gV8/lG4Fbn3PbAKmB0DvaRW2prqagU/61RIEzcc8j48SrqF18MP/pRizY1ahSceCLceCM8+ODm6ZHV1dC+PXTyhxzu3Ru+/BI2bGjRfo380iJxF5FewPeBcd5nAUYCT3uLjAeOack+8kJtLRUdtHeqZcsUjgZxb4eJe0v44AONoxx0EPzpTznZ5G23wYgR2vdp1CiYP79xnp8p05A6X1Wld4CW1A828k5LPffbgEuATd7nLsBq59xG7/NioGcL95F7amup6Njaf2sUiEZxd7DGRmPKipUrtbxj166a1946N/WRunaFt9/Wh4HJk7Wx9cYb1TlvyHH3sY5MJUHW4i4iPwCWOeemZrn+GBGZIiJTli9fnq0Z2VFbS3nHtoiYuBeSBnFvL+a5Z0N9vcZPvvwSnn46Ye2YllBWpg8En3wCRxyhKfN77AFz58YNim0dmUqClnju3wN+KCILgCfQcMxfgY4i4rsTvYCEz27OubHOueHOueHdunVrgRkZ4hzU1iKVFVRUmLgXkro6dTTbtG9r4p4NV10Fr7yi5Xz33DNvu+nZE555Rv+WLdNc+Caeu3VkKgmyFnfn3G+dc72cc32BnwFvOOdOBN4EfuwtdirwXIutzCXr1qkHVGHiXmjWrIHycvSfiXtmPPecprOcfjqMGVOQXR57LMya1ZhG30B5OXTpYuJe5OQjz/1S4P9E5FM0Bn9fHvaRPb6ae+JuDaqFo67OxD0rvv0WTjkFdt8d7rgjZVGwXNOhg5Yo6NEjboalQxY9OWmNcc5NBCZ67z8DRuRiu3nBF/fKSvPcC0xdnabUUV6uz/pGenz8sQr81VdrYnoxUFUFn30WtBVGCqLXQzXGc6+sNHEvJA2ee/v25rlnwty5+jp4cLB2xGKee9ETaXE3z72wWFgmS+bO1Zbovn2DtqSRqip9+rInsKIleuLuB9lN3AuOiXuWzJkD/fvnLKc9J/gZM5brXrRET9ytQTUwTNyzZO7cZgfgKDiW6170RF7czXMvHCbuWbBpk1b1GjgwaEuaYr1Ui57ointlZUODqg2SXRiaiPuGDVZ4Kh2qq7W0b7GJ+7bbapjIPPeiJbri7nnu9fXYINkFoom4A6xdG6g9JYGfKVNs4t6qFfTqpe0BRlESPXGvqdFOIO3aWU33ArOZuFtopnl8cS+2mDvA4YfDiy/C6tVBW2IkIHriXlsLFRUgYuJeQJwzcc+KuXOhshK22SZoSzbnzDP16evRR4O2xEhAdMWdhhfLmCkA69erwJu4Z8icORqSKWDJgbTZbTf9u/dea7gqQqIp7pWVAOa5F5CGcr8m7plRjGmQsZxxhg7SPTWryt9GHommuHuq7mm8iXsBSCjuNmBHatatg4ULi68xNZaf/1zr3YwbF7QlRhzRE/eams3CMibu+cc89yz49FMNdxSzuHfoAMcfD489Zj+kIiN64p4g5m7XZP4xcc+CYs6UieXMM9Vp+sc/grbEiMHEHWtQLQQm7lngi/uAAcHa0Rz77ANDhmjDqlE0RFPcrUG14PjhdRP3DJgzB7p3b2wcKlZEtGH1vfdg5sygrTE8oinunqqXl2ODZBcIX8cbBuuInWgkZu7c4o63x3LyydCmjTWsFhHREndvcGxf3EWw4mEFwsIyWVDsaZCxdOumg64+9JBm+RiBEy1xX7NGi8nEPOaauBeGJuLeujW0bWvinoqvv4YVK0rHcwcNzXz9NTz7bNCWGERN3OfN09f+/RsmWU33wtBE3P03Ju7JKdaCYak4+GAdLcoaVouCaIn77Nn6GjMWpXnuhcHEPUNKJQ0ylrIyGD0a3ngD5s8P2prIEy1xnzVLL8CY1DIbJLsw+Dq+5ZbeBBP31MyZo2V1+/UL2pLMOP10/Y3dd1/QlkSeaIn77Nmw3XawxRYNk8xzLwx+RciG+lcm7qmZO1ev1TZtgrYkM3r2hMMOsw5NRUD0xD0mJAMm7oWiodyvj4l7akopUyaeXXeFBQs0ecEIjOiIe329/mBM3APBxD0DinXc1HSpqoKNG+HLL4O2JNJER9wXLNCi4kOGNJls2TKFwcQ9AxYv1kEwSlXc+/TR14ULg7Uj4kRH3BNkygA2SHaBMHHPgFJMg4zFxL0oiJ64x8Uxsx0ke8UKeOcdG1w7XRKKu9VzT4w/6HSpxtyrqvTVxD1QoiXu3bpBly5NJmdSPKy6Gm6/HQ48UIe03G8/3eQJJ8BTT1l4JxXmuWfA3LlahKd796AtyY727aFrVxP3gGkdtAEFI0GmDDQV965dN19t1Sq46y6YMAGmTNFpO+4Iv/sdDB0Kr7yiva2feEIzLEeNgqOOSrytsjI46CAd3yBq1NXBttvGTDBxT45fMKwYx01Nlz59TNwDJjriPmsW/OhHm01urqb7xRfD/ffDnnvCjTdqbaTY8to/+pGK/3//qzeAZ56BF15IbsaQIfDaa9CjRwuOpQRJ6LmvXauZIWXReYBMi7lzYcSIoK1oGX36wCefBG1FpMla3EWkN/AQsA3ggLHOub+KSGfgSaAvsAA43jm3quWmtoAVK2DlymY990S8+6564s8/n3zzrVrB/vvr3y23aBZbosJ4n32mlVH32w9ef13LcESFhOIO+kU1mRFx1q/XzK6TTgrakpbRpw+89JJmKpTyE0gJ0xKXaSNwkXNuB2Av4FcisgNwGfC6c24A8Lr3OViSZMpA6kGya2u1bWv33dPflYg+Ue+yy+Z/xxyjXvvXX+uNwE+KiAJJxd1CM02ZP1+fZko1U8anTx99MluxImhLIkvW4u6cW+Kcm+a9rwFmAT2Bo4Hx3mLjgWNaamSLSSHuqTz3GTPU8chE3Jtjzz1h4kR1WPffHz7+OHfbLmbWrPEG6vAxcU9MKRYMS4SlQwZOToKdItIX2BV4H9jGObfEm7UUDdskWmeMiEwRkSnLly/PhRnJmTVLK1b5KVoxpBL3qVP1dbfdcmvO0KHw1lsazjnggMb9hJUNG/TPPPc08NMgi33c1Obwxb26Olg7IkyLxV1EKoB/Ahc4576Nneecc2g8fjOcc2Odc8Odc8O7devWUjNSM3u2ekKtWm02K1WD6rRpmvKYj4y0IUPgP/+BrbaCkSNV7MPK2rX62kTcfTfexL0pc+fqRVfqKVXmuQdOi8RdRNqgwv6oc+4Zb/JXItLdm98dWNYyE3NAkjRISO25T5umXnu+2oO2204Fvnt3TZE877xw5spvVss99oOJe1NKuWBYLJ066Y/LxD0wshZ3ERHgPmCWc+6WmFnPA6d6708FnsvevBywbh18/nlScU82SPbatZrJlct4eyJ69YJJk+Ccc+Dvf9cc+lSplKWIiXsGzJlT+o2poD8qy3UPlJZ47t8DTgZGish07+9I4AZglIjMAw7xPgfHvHnaKppE3JMNkv3hh1qWINfx9kRstZUK+3//q++POgp+9jP46qv877sQmLinyapVsHx5OMQdTNwDpiXZMu8458Q5t4tzbpj396JzbqVz7mDn3ADn3CHOua9zaXDGzJqlr3HVIGNJJO7TpulrIcTdZ++9db/XXKMdogYP1gFtSr2omYl7mvhj/Jq4Gzkg/F0DZ89W9zxF9kGisr/TpmkZmgQJNnmlbVu48kpNw9x5Zx1QfuTIxt99KWLiniZ+j84kT5klR1WVduqwARMCobTFfcYMuPba1MvMnq0eRIpekMk893w2pjbH4MGaDz92LHzwgQr99ddrSmGpYeKeJjNmQLt2sP32QVuSGyxjJlBKW9wnTmx0c5ORIlPGJ36Q7PXr4aOPChuSSURZGZx5pkaWjjpKi5Xtvju8/36wdmWKiXua+I9rCVJ2SxIT90ApbXE/+WQtxThuXOL5mzalJe7xnvvMmeohBy3uPt2763jDzz2nT7l77w3nnqs3oFKIxycU9y220MeiMIv75Mn6lw7OwfTp2sMtLJi4B0ppi3vnznDccfDII409ZWJZtEinp2hMhc3F3W9MzXcaZKb88Icalj3nHLjzTq1XM2AAXHIJvPee3suKkYTiLhLuATuc00L/Z5yR3vKLF2u2TJjEvXt3aNPGxD0gSlvcQeMWq1fDP/+5+bwUNWViSSTuHTpoJ6Niw0+b/PJLuPtuDc/edhvss4/mzJ9zDrz6anHF5hOKuz8hrJ77zJlaBOzjj9O7gfmhxWHD8mtXISkrg969TdwDovTF/YADoH9/uPfezedlIO6x2TJTp8KuuxZ3pdJtt4WzzoKXX4Zly/ThZZ99YPx4OPRQ7cF+yik6kEjQ+unvv127uBlhFvcJE/R106bGR8FUTJ+ur7vskj+bgsDSIQOj9MW9rEwffd9+e/MaurNmaTfoZmrXxA6SvWGDOlHFEm9Ph44d4cQT4emntQ/Ms89qA+wLL+jgIt266aAiQdWvqavTp/M2beJmhFncn322MV89nbj7jBn6qOjXoA4LJu6BUfriDnDqqZphEN+wOnu2xtubccFjB8mePVtfiy3eni7l5XD00erBf/WV1o8/7TQddOTAA/U+uKrAQ6dsVss91tgwivvCheqtjx6tud6TJjW/zowZ4QrJ+PTpA0uWwHffBW1J5AiHuHfvrq7q+PFNL6I0MmWgafGwfJX5DYI2beDgg+GOOzT8e+ml8OCDer978snCZdrU1cXVcvcJq7g/55VTOvZYHS6vOc+9thY+/TRcjak+ffrohbZoUdCWRI5wiDtow+qyZfCvf+nnVavUdc1Q3KdNUyEq9XLa8ZSXww036CDfvXtr7ZqjjipMue01ayLmuU+YADvsoBfRiBE6vmKqEYn8nNawijtYaCYAwjNA9mGHabrIuHEaYPYHPchA3GtqVNx33TU8/UjiGTZM0yb/9je44gqtQnnCCVr2IF3at9c8+96901s+ZVjmiy/S33EpsHKltv/89rf6eY899HXyZDjiiMTrhDFTxscG7QiM8Ih7q1bwi1/AH/+oXoJfMCwDcf/mG01aGD06j3YWAa1bw4UXatTgvPPgmWeaXyeWb7/VPPvrr9fUy+ZuhEnFvUcP+Pe/tZFjiy0yM6JYeeEFzZA5xhtdcvfdtc0nlbhPn66t4oUuZFQIevfW4zfPveCEJywDKu4ADzyg8fa2baFfv2ZX8xMUpk3TEEIY4u3p0LcvPP+8Rgwy+ZszR9MuzzsP9t23+XFgk4r7oYfqF/7OO/k4vGCYMEGfIP0W+cpKbeRI1ag6Y4amQBZz7m22tG2rbWIm7gUnXOLep48Kxv33ayeSAQPUTW0G33N/+219jYq4Z0u/fppf//DD2g64664a4lm3LvHyScV95Ej98b/0Ul7tLRh1dfokcswxTYV6xAgV90Qt2PX1GnMPY0jGx9IhAyE8YRmfM86An/xEu3D6j8bNECvuW27ZbLUCA9Wuk06Cww+Hiy6C666Dp55Sjz6e+fOTFDqsqID99lNxv+mmvNucd155RctdHHts0+kjRmiaUnV1YwzaZ/58fXoJY2OqT1WVtuQbBSVcnjtoAZZu3dQjSrMuti/uy5frbywNZ9/w6NpVM1D//W8tjTBx4uZ/HTuqk56QI47QgjlhaHB79lntNLfffk2n+42qiUIzfmNqmMW9Tx9NhSzW4kchJXzi3ratdmqCjMUdLCSTLaNGqXO2YEHiv7POSrLikUfqa6mHZjZs0DTco47avCvuLrvodZko333GDG2R3nHHwtgZBH36aP+TpUuDtiRShE/cQfP0DjpI/9LAHyQbTNwLzuDB+uMvdXH/z3+0b0WiUGDbttowkchznz5dv4Mtt8y/jUFhue6BEE5x79MH3ngDevZMa3F/kGwo3bIDJYuIhmZef11TIkuVCRNUoA89NPH8PfbQR5v6+qbTZ8wId0gGTNwDIpzingUVFfo0Hean46LliCO0e3CppkQ6p/H2ww5LUmcBbVRds6axUiloh6fFi8OdKQMm7gFh4u5RUaEjnGXSU9PIEaWeEjl1qop0quysRI2qUWhMBc3179TJxL3AmLh7nH66huqNAIhNiSxFnn1WS08fdVTyZQYO1HSi2EbVqIg7WK57AJi4e/z2tyrwRkCUakrkpk06Ctj++0OXLsmXKytT7z3ec992Wx1ZJeyYuBccE3ejOPDrrpSa937//RpH90tfpGKPPVTQ/a68YRsQOxW+uJfCiO4hwcTdKA6GDCm9lMivvoLf/EaHejzppOaXHzECNm5Ugf/uO31SiZK419YWfqSYCGPibhQHsSmRpTJqz4UXaj2Zu+9Or+hXbKPq7Nna8SnsmTI+ljFTcEzcjeKhlFIiX34ZHn9cG2vS7AlNz55aIXHSpMYBsaPkuYOJewExcTeKBz8l8sUXg7YkNXV1Wsh+0KDGQTnSQaRx2L0ZM7SGvT+IdtgxcS84Ju5G8VAqKZHXXAOffw733JP5ICN77KEF8d96SztWRKVKXdeu0K5d6WVDlTAm7kZxUewpkR9+qOWJf/ELbUjNlBEj9HXq1OiEZECfWiwdsqDkRdxF5HARmSMin4rIZfnYhxFSijklsr4exoyBzp3hL3/JbhvDhze+j5K4g9Z1N3EvGDkXdxFpBdwBHAHsAJwgIjvkej9GSCnmlMh77oH334dbb1WBz4ZOnXSEMIhOpoyPee4FRVyOOxWIyN7A1c65w7zPvwVwzv0p2TrDhw93U7IYqeWCly9g+tLp2ZpqFCvz5sKSpRqjLSbWrYUOHbU+e0uYNQuWLYPvfS86MXdQYV+wIMmYi9Fl2KADuO287JIIRGSqc254onn5uLJ6AotiPi8G9kxg1BhgDEBVGEd9N7KnZy/t7FNsvRm3qoS+zQ+43iy9emnjcZSEHWDrrTXTyNmITE3ItFE+TQK7upxzY4GxoJ57Ntu47fDbcmqTYRhGWMhHg+oXQO+Yz728aYZhGEaByIe4TwYGiEg/EWkL/Ax4Pg/7MQzDMJKQ87CMc26jiJwLvAK0Au53zs3M9X4MwzCM5OQl5u6cexEo8j7khmEY4cV6qBqGYYQQE3fDMIwQYuJuGIYRQkzcDcMwQkjOyw9kZYTIcqC5ohNdgRUFMKfYsOOOFlE9bojusbfkuPs457olmlEU4p4OIjIlWQ2FMGPHHS2ietwQ3WPP13FbWMYwDCOEmLgbhmGEkFIS97FBGxAQdtzRIqrHDdE99rwcd8nE3A3DMIz0KSXP3TAMw0iTkhD3qIzJKiL3i8gyEfk4ZlpnEXlVROZ5r52CtDEfiEhvEXlTRD4RkZkicr43PdTHLiJbisgkEZnhHfcfvOn9ROR973p/0quuGjpEpJWIfCAiL3ifQ3/cIrJARD4SkekiMsWblpfrvOjFPWJjsj4IHB437TLgdefcAOB173PY2Ahc5JzbAdgL+JV3jsN+7OuBkc65ocAw4HAR2Qu4EbjVObc9sAoYHaCN+eR8YFbM56gc90HOuWEx6Y95uc6LXtyBEcCnzrnPnHPfAU8ARwdsU15wzr0NfB03+WhgvPd+PHBMQY0qAM65Jc65ad77GvQH35OQH7tTar2Pbbw/B4wEnvamh+64AUSkF/B9YJz3WYjAcSchL9d5KYh7ojFZewZkSxBs45xb4r1fCmwTpDH5RkT6ArsC7xOBY/dCE9OBZcCrwHxgtXNuo7dIWK/324BLAH9A1S5E47gd8G8RmeqNIw15us4jNkJvaeOccyIS2vQmEakA/glc4Jz7Vp05JazH7pyrB4aJSEdgAjA4YJPyjoj8AFjmnJsqIgcGbU+B2dc594WIbA28KiKzY2fm8jovBc896mOyfiUi3QG812UB25MXRKQNKuyPOuee8SZH4tgBnHOrgTeBvYGOIuI7XmG83r8H/FBEFqBh1pHAXwn/ceOc+8J7XYbezEeQlxYLSwAAARhJREFUp+u8FMQ96mOyPg+c6r0/FXguQFvyghdvvQ+Y5Zy7JWZWqI9dRLp5Hjsi0g4YhbY3vAn82FssdMftnPutc66Xc64v+nt+wzl3IiE/bhFpLyKV/nvgUOBj8nSdl0QnJhE5Eo3R+WOyXhewSXlBRB4HDkSrxH0FXAU8CzwFVKGVM493zsU3upY0IrIv8B/gIxpjsJejcffQHruI7II2oLVCHa2nnHPXiMh2qEfbGfgAOMk5tz44S/OHF5a52Dn3g7Aft3d8E7yPrYHHnHPXiUgX8nCdl4S4G4ZhGJlRCmEZwzAMI0NM3A3DMEKIibthGEYIMXE3DMMIISbuhmEYIcTE3TAMI4SYuBuGYYQQE3fDMIwQ8v8BUm5k5f6uSnMAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pw18W4FegvFc"
      },
      "source": [
        "##NN Player goes second"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "daMONrbsUPfN",
        "outputId": "2a50fd08-2ea2-4168-a7d6-36a41e54a17b"
      },
      "source": [
        "%matplotlib inline\n",
        "import tensorflow as tf\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "from util import evaluate_players\n",
        "from TFSessionManager import TFSessionManager\n",
        "from RandomPlayer import RandomPlayer\n",
        "from EGreedyNNQPlayer import EGreedyNNQPlayer\n",
        "from RndMinMaxAgent import RndMinMaxAgent\n",
        "\n",
        "tf.reset_default_graph()\n",
        "\n",
        "nnplayer = EGreedyNNQPlayer(\"QLearner1\", learning_rate=0.001, reward_discount=0.99, random_move_decrease=0.99)\n",
        "mm_player = RndMinMaxAgent()\n",
        "rndplayer = RandomPlayer()\n",
        "\n",
        "TFSessionManager.set_session(tf.Session())\n",
        "TFSessionManager.get_session().run(tf.global_variables_initializer())\n",
        "\n",
        "game_number, p1_wins, p2_wins, draws = evaluate_players(mm_player, nnplayer, num_battles=50)\n",
        "\n",
        "p = plt.plot(game_number, draws, 'r-', game_number, p1_wins, 'g-', game_number, p2_wins, 'b-')\n",
        "\n",
        "plt.suptitle(\"Min-Max vs NNPlayer Player using less greedy strategy\")\n",
        "plt.show()\n",
        "TFSessionManager.set_session(None)"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "After 100 game we have draws: 4, Player 1 wins: 96, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 96.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 94, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 94.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 93, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 93.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 7, Player 1 wins: 93, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 7.00%, Player 1 wins: 93.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 94, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 94.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 11, Player 1 wins: 89, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 11.00%, Player 1 wins: 89.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 92, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 92.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 94, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 94.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 6, Player 1 wins: 94, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 6.00%, Player 1 wins: 94.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 96, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 96.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 8, Player 1 wins: 92, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 8.00%, Player 1 wins: 92.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 5, Player 1 wins: 95, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 5.00%, Player 1 wins: 95.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 0, Player 1 wins: 100, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 0.00%, Player 1 wins: 100.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 3, Player 1 wins: 97, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 3.00%, Player 1 wins: 97.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 1, Player 1 wins: 99, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 1.00%, Player 1 wins: 99.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 2, Player 1 wins: 98, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 2.00%, Player 1 wins: 98.00%, and Player 2 wins:  0.00%\n",
            "After 100 game we have draws: 4, Player 1 wins: 96, and Player 2 wins: 0.\n",
            "Which gives percentages of draws: 4.00%, Player 1 wins: 96.00%, and Player 2 wins:  0.00%\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0ss_beDhSG0j"
      },
      "source": [
        "#Summary"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-UZcAUt8RxZq"
      },
      "source": [
        "The summary of our results with this very simple Neural Network based player:"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5WGpckFjM4SR"
      },
      "source": [
        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)"
      ]
    }
  ]
}