MazeGenerator/maze.ipynb

{"cells":[{"cell_type":"code","execution_count":3,"source":["from __future__ import annotations\n","\n","from enum import Enum\n","from typing import Union, Generator, NamedTuple, Optional\n","\n","import matplotlib.pyplot as plt\n","import numpy as np\n","\n","index = 0\n","\n","\n","class Coordinate(NamedTuple):\n","    \"\"\"\n","    2d coordinate index\n","\n","    Attributes\n","    ----------\n","    h : int\n","        height index\n","    w : int\n","        width index\n","    \"\"\"\n","    h: int\n","    w: int\n","\n","    def __str__(self):\n","        return f\"({self.h}, {self.w})\"\n","\n","    def __add__(self, other: Coordinate):\n","        \"\"\"operator `+`\"\"\"\n","        return Coordinate(self.h + other.h, self.w + other.w)\n","\n","    def __mul__(self, other: Union[Coordinate, int]):\n","        \"\"\"operator `*`\"\"\"\n","        if isinstance(other, int):\n","            return Coordinate(self.h * other, self.w * other)\n","        else:\n","            return Coordinate(self.h * other.h, self.w * other.w)\n","\n","    def add_mul(self, other: Coordinate, mul: int = 1):\n","        \"\"\"\n","        add coordinates, right term multiplied by mul\n","\n","        Parameters\n","        ----------\n","        self : Coordinate\n","            left term\n","        other : Coordinate\n","            right term\n","        mul: int, default=1\n","            right term multiplier\n","\n","        Returns\n","        -------\n","        sum : Coord\n","            `self + other * mul`\n","        \"\"\"\n","        return Coordinate(self.h + other.h * mul, self.w + other.w * mul)\n","\n","\n","class Directions(Enum):\n","    \"\"\"4 displacements of 2d coordinates\"\"\"\n","    RIGHT = Coordinate(0, 1)\n","    LEFT = Coordinate(0, -1)\n","    UP = Coordinate(1, 0)\n","    DOWN = Coordinate(-1, 0)\n","\n","\n","def random_maze(\n","        height: int, width: int,\n","        random_state: Optional[int] = 42, verbose: int = 0\n",") -> np.ndarray:\n","    \"\"\"\n","    height x width のランダムな迷路を壁伸ばし法で作成\n","\n","    Notes\n","    -----\n","    参考：https://algoful.com/Archive/Algorithm/MazeExtend\n","\n","    Parameters\n","    ----------\n","    height : int (only odd number)\n","        盤面の高さ (奇数)\n","    width : int (only odd number)\n","        盤面の幅 (奇数)\n","    random_state: int | None, default=42\n","        random_state for numpy.random\n","    verbose : bool, defalt=0\n","        toggle verbosity\n","        * 0: no output\n","        * 1: output text\n","        * 2: show image\n","        * 3: show and save image\n","\n","    Returns\n","    -------\n","    maze : ndarray, shape=(height, width), dtype=int\n","        生成された迷路（壁=1, 道=0）\n","\n","    Raises\n","    ------\n","    ValueError\n","        * if height or width is not odd\n","    \"\"\"\n","    global index\n","    if not(height % 2 == 1 and width % 2 == 1):\n","        raise ValueError(\n","            f\"maze size must be (odd, odd) but input is ({height}, {width})\")\n","    np.random.seed(random_state)\n","    # 最外周だけ壁にする\n","    maze: np.ndarray = np.zeros((height, width), dtype=int)\n","    maze[0, :] = 1\n","    maze[-1, :] = 1\n","    maze[:, 0] = 1\n","    maze[:, -1] = 1\n","\n","    while True:\n","        # 始点となりうる点を検索\n","        candidates: list[Coordinate] = []\n","        for h in range(0, height, 2):\n","            for w in range(0, width, 2):\n","                if maze[h, w] == 0:\n","                    candidates.append(Coordinate(h, w))\n","        # 偶数座標が埋まりきっていれば終了\n","        if candidates == []:\n","            break\n","\n","        # 始点から始めて既存の壁に到達するまで壁を伸ばす\n","        start = candidates[np.random.randint(len(candidates))]\n","        err, builded = extend_wall(maze, start, [start], verbose)\n","        assert err == 1, \"hoge\"\n","        for cood in builded:\n","            maze[cood] = 1\n","\n","        if verbose > 0:\n","            print(\"main loop:\", index)\n","        if verbose > 1:\n","            # 生成途中の図を出力\n","            show_maze(maze)\n","            if verbose > 2:\n","                # 図を保存\n","                plt.savefig(f\"img{index:04}.png\")\n","            plt.show()\n","        index += 1\n","    return maze\n","\n","\n","def extend_wall(\n","        maze: np.ndarray, curr: Coordinate,\n","        building: list[Coordinate],\n","        verbose: int = 0\n",") -> tuple[int, list[Coordinate]]:\n","    \"\"\"\n","    始点から始めて既存の壁に到達するまで壁を伸ばす\n","\n","    Parameters\n","    ----------\n","    maze : ndarray, shape=(height, width), dtype=int\n","        現時点での迷路\n","    curr : Coordinate\n","        始点\n","    building : list[Coordinate]\n","        生成中の座標リスト\n","    verbose : bool, defalt=0\n","        toggle verbosity\n","        * 0: no output\n","        * 1: output text\n","        * 2: show image\n","        * 3: show and save image\n","\n","    Returns\n","    -------\n","    err : int\n","        壁を生成できたら 1，行き止まりなら -1\n","    builded : list[Coordinate]\n","        始点から既存の壁にたどり着くまでに新たに作った壁の座標リスト\n","    \"\"\"\n","    global index\n","    # 進める方向をランダムに選び，2マスずつ進む．\n","    # 既存の壁にたどり着いたら完了\n","    # 自分にぶつかるようなら戻ってやり直す\n","    if verbose > 0:\n","        print(\"extending with:\", curr, index)\n","    if verbose > 1:\n","        # 生成途中の図を出力\n","        maze2: np.ndarray = maze.copy().astype(float)\n","        for pos in building:\n","            maze2[pos] = 0.5\n","        maze2[curr] = 0.75\n","        show_maze(maze2)\n","        if verbose > 2:\n","            # 図を保存\n","            plt.savefig(f\"img{index:04}.png\")\n","        plt.show()\n","    \n","    index += 1\n","    *dirs, = search_acceptable_dir(maze, curr, building)\n","    if dirs == []:\n","        err, builded = -1, building\n","    else:\n","        n = len(dirs)\n","        for idir in np.random.choice(range(n), n, False):\n","            # 次に進む方向を進める中からランダムに決める\n","            dir = dirs[idir]\n","            next = curr.add_mul(dir, 2)\n","            if maze[next] == 1:\n","                # 2つ進んだ先が既存の壁なら生成を完了して返す\n","                err, builded = (1, building+[curr+dir])\n","                break\n","            else:\n","                # 2つ先が空いた空間なら生成を続ける\n","                err, builded = extend_wall(\n","                    maze, next, building+[curr+dir, next], verbose)\n","                if err == 1:\n","                    break\n","        else:\n","            err, builded = (-1, building)\n","\n","    if verbose > 0:\n","        print(\"extend:\" if err == 1 else \"back:\", index)\n","    if verbose > 1:\n","        # 生成途中の図を出力\n","        maze2: np.ndarray = maze.copy().astype(float)\n","        if err == 1:\n","            for pos in builded:\n","                maze2[pos] = 0.25\n","            for pos in building:\n","                maze2[pos] = 0.5\n","            maze2[curr] = 0.75\n","        else:\n","            for pos in builded:\n","                maze2[pos] = 0.5\n","            maze2[curr] = 0.75\n","        show_maze(maze2)\n","        if verbose > 2:\n","            # 図を保存\n","            plt.savefig(f\"img{index:04}.png\")\n","        plt.show()\n","    index += 1\n","    return (err, builded)\n","\n","\n","def search_acceptable_dir(\n","        maze: np.ndarray, curr: Coordinate,\n","        building: list[Coordinate]\n",") -> Generator[Coordinate, None, None]:\n","    \"\"\"\n","    以下の条件を満たす方向を探す\n","    * 進んだ先が既存の壁ではない\n","    * 進んだ先が生成中の壁ではない\n","    * 2つ進んだ先が生成中の壁ではない\n","\n","    Parameters\n","    ----------\n","    maze : ndarray, shape=(height, width)\n","        これまでに生成された壁が記録されたmap\n","    curr : Coordinate\n","        現在の座標\n","    building : list[Coordinate]\n","        生成途中の座標リスト\n","\n","    Yields\n","    ------\n","    dir : Coordinate\n","        次の行き先として適切な方向\n","    \"\"\"\n","    for dir in Directions:\n","        if maze[curr + dir.value] == 0\\\n","                and curr + dir.value not in building\\\n","                and curr.add_mul(dir.value, 2) not in building:\n","            yield dir.value\n","\n","\n","def show_maze(\n","        maze: Optional[np.ndarray] = None,\n","        height: int = 7, width: int = 9,\n","        random_state: Optional[int] = None,\n","        cmap: str = 'Greens',\n","        verbose: int = 0\n","):\n","    \"\"\"\n","    set parameters and show image of maze\n","\n","    Parameters\n","    ----------\n","    maze : ndarray, optional, default=None\n","    height : int\n","    width : int\n","    random_state : int, optional, default=None\n","    cmap : str, default='Greens'\n","    verbose : bool, defalt=0\n","        toggle verbosity\n","        * 0: no output\n","        * 1: output text\n","        * 2: show image\n","        * 3: show and save image\n","    \"\"\"\n","    if maze is None:\n","        maze = random_maze(height, width, random_state, verbose)\n","    plt.rcParams['image.cmap'] = cmap\n","    plt.tick_params(labelbottom=False, labelleft=False, labelright=False,\n","                    labeltop=False, bottom=False, left=False, right=False, top=False)\n","    plt.imshow(maze)\n","\n","\n","show_maze(None, 9, 11, 5, verbose=2)\n","plt.show()"],"outputs":[{"output_type":"stream","name":"stdout","text":["extending with: (2, 8) 0\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 1\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAADhklEQVR4nO3dIVIcQRiA0RlqKwWexeLWxyRX4BCcInfgItwAF8EJYqIwOERUcIiIiM4F2EFQ306yec/21PytvupWPY8xJoDCydobAI6XwAAZgQEyAgNkBAbIbJYW5w8nYzpd/AT43738fh5jbF9bWq7H6WaaPl8kewKOxP2Pp31LrkhARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbIrPro0a+vj2uOhzd9f/6Wz/h4/in9/9nVLv3/EicYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyKz6LhL87a5vb/IZD1/u8hlrcYIBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGQ+vwYJjfhTtEJxggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQGaz5vCzq92a44GYEwyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNk5jHG/sV5/jlN09PhtgP8gy7HGNvXFhYDA/AerkhARmCAjMAAGYEBMgIDZP4AJQ0llG0WZTAAAAAASUVORK5CYII=","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 2\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (4, 8) 3\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (6, 8) 4\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 5\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 6\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 7\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (2, 2) 8\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 9\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAADoklEQVR4nO3dIXJTQRzA4U0nwzSeYnHxGLhCDsEpuAMX4Qa4Ck6AQWHqKlDUVVQglgs0MZlfH3l8n93M+2/E+80+tZs55wAoXC29AWC9BAbICAyQERggIzBAZntqcfPqao7rkz8B/nePfx7mnDfPLZ2ux/V2jA9vkj0BK/Ht1/2xJZ9IQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyCx66dHT7V36/B8P39PnjzHGu9fv8xksZ3fY5zPq9+Al/sMxTjBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQWfRepNrHL5/zGT8/fc1nwKVyggEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwACZVV+85lI0zvV0e7f0Fi6aEwyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkVn0vEpxrd9jnM9Z895ITDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBshslxy+O+yXHA//hDW/B04wQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkNnMOY8vbja/xxj3L7cd4AK9nXPePLdwMjAA5/CJBGQEBsgIDJARGCAjMEDmLymzLpYFjhCnAAAAAElFTkSuQmCC","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 10\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (4, 6) 11\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAADmUlEQVR4nO3dsVHcQABA0RVz4+EKgNTZJS6AFi5zLy7EvZAR0IYTMgJHduaAgGDdAHcJ8xGI99LVrFYz0p9VtMuccwAULtZeALBdAgNkBAbICAyQERggszs3uHy5mOPy7CXAZ/fv+e+c8+qlofP1uNyNcXOdrAnYiPvfj6eG/CIBGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggs+qhR093D+n8++MhnX+M/hlY1xbeobd4hlPsYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBmt/YCSk93D2svgQ/OO/Q6djBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQ2fS5SKzv28/v6fy/ftym8++Ph3T+MbZ99pIdDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2Sci0SqPreI980OBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2R2a958fzyseXt4F7b8HdjBABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQGaZc54eXJY/Y4zHt1sO8AF9nXNevTRwNjAAr+EXCcgIDJARGCAjMEBGYIDMfx7vMKSaeRcpAAAAAElFTkSuQmCC","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 12\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 13\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (2, 4) 14\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (4, 4) 15\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 16\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 17\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 18\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (6, 6) 19\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 20\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 21\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (6, 2) 22\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 23\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 24\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAADr0lEQVR4nO3dMU4bQQCG0VmEEDTpoE3HCSJxBY5MwRW4AB0FVdKlSJFicgHbFNbnjdfvtWNZa8v6NK7+Zc45AApXaz8AsF0CA2QEBsgIDJARGCBzfehwubma4/bgS4BL9/vvrznn/a6jw/W4vR7j6SF5JmAjXj8/9h35iwRkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDMqqNHf17e0/e/e35M33+M/jOwri38hk7xGfZxgwEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDMqrtIfK3etLHrRMkNBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2Q2PbxmVIxj+Q0dxw0GyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMpveReJrd8+Paz/Cxdvy9pIbDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2TsIv3nzn0zp95dqr8fu1HHcYMBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAzKZ3kU6xaXPuu0VQcoMBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAmU0Pr7E+w3SXzQ0GyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMsucc//ht5s5nh5O+DjA2Xn9fJtz/th15AYDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAmcO7SMvyc4zxcbrHAc7Q9znn/a6Dg4EBOIa/SEBGYICMwAAZgQEyAgNk/gGqg0NH6+h7CwAAAABJRU5ErkJggg==","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (4, 2) 25\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 26\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 27\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (2, 6) 28\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAADyElEQVR4nO3dIU4cYQCG4RlCCBgc2DpMbROugOtdOEjvUlfBFSpr6hCo1lVUIP5eYHcQm3enOzyP/clkgM2bf9U3jzEmgMLZ2i8AbJfAABmBATICA2QEBsicLx3OF2djulz8EeC9+/P6e4xxs+touR6X59N0f5u8E7ARTy/P+458RQIyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBm1dGjv99+ps+/erhLnz9N/e/AurbwGTrG77CPGwyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkVt1F4m31pk29yfPxy+f0+T8ev6bP5zBuMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCCz6eG1elSMt536MJrP0GHcYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCCz6V2kq4e7tV/hv+dvtL4tby+5wQAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBm07tIW96bORX17lL9P7YbdRg3GCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBshsehfpGJs2tpdgPzcYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkNn08BrrM0z3vrnBABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQGYeY+w/vL4Y0/3tEV8HODlPL9/HGJ92HbnBABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQGZ5F2mef03T9Hy81wFO0Icxxs2ug8XAABzCVyQgIzBARmCAjMAAGYEBMv8Apb5ItkWW1pYAAAAASUVORK5CYII=","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 29\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 30\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extending with: (6, 4) 31\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["extend: 32\n"]},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAARgAAADnCAYAAADFPUn0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAD3ElEQVR4nO3dMW4TQRiA0XUURUlDRdLSpUdC5Ao5BKfgDlyEG9BR5ARIiIqGLkUq0lFQUAwXiDeF9XntzXvtWKPx2vo0W/2bMcYEUDhZ+gDAegkMkBEYICMwQEZggMzp3OLm7GRM57MfAV66P/8exxiXTy3N1+P8dJpurpIzAStx93C/bckrEpARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATKLDj36+/VXuv/F7XW6/zT134FlreE/tI/vsI0bDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QWnYvE85acaXMMzKU6bG4wQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYILPqwWuGcj3PM5rn+ezGDQbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyq56LdHF7vfQRDp5ntLw1z15ygwEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDMqucirWHezI/Hb+n+b1+/T/ev5y7Vv7G5UbtxgwEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDMquci7WOmTT2X58PnT+n+Pz9+SffnZXODATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAAJlVD15bg2MfjFYPpuOwucEAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBAZjPG2L746mxMN1d7PA5wdO4evo8x3j215AYDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAmfm5SJvN72ma7vd3HOAIvRljXD61MBsYgF14RQIyAgNkBAbICAyQERgg8x8xf066YPZYvgAAAABJRU5ErkJggg==","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"stream","name":"stdout","text":["main loop: 33\n"]},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}},{"output_type":"display_data","data":{"image/png":"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","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{}}],"metadata":{}}],"nbformat":4,"nbformat_minor":2,"metadata":{"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":3},"orig_nbformat":4}}