ORIGINAL DQN Cart-and-Pole-DQN.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Cart and Pole Deep Q-Network Project\n",
    "The original tutorial for which this project is based is located at the link below. I have made several modifications throughout.\n",
    "\n",
    "https://pytorch.org/tutorials/intermediate/reinforcement_q_learning.html\n"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Import Libraries"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "source": [
    "import sys"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "source": [
    "!{sys.executable} -m pip install numpy\n",
    "!{sys.executable} -m pip install gym\n",
    "!{sys.executable} -m pip install matplotlib\n",
    "!{sys.executable} -m pip install torch torchvision torchaudio"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Requirement already satisfied: numpy in /usr/local/lib/python3.9/site-packages (1.21.1)\n",
      "\u001b[33mWARNING: You are using pip version 21.1.3; however, version 21.2.4 is available.\n",
      "You should consider upgrading via the '/usr/local/opt/python@3.9/bin/python3.9 -m pip install --upgrade pip' command.\u001b[0m\n",
      "Requirement already satisfied: gym in /usr/local/lib/python3.9/site-packages (0.18.3)\n",
      "Requirement already satisfied: cloudpickle<1.7.0,>=1.2.0 in /usr/local/lib/python3.9/site-packages (from gym) (1.6.0)\n",
      "Requirement already satisfied: scipy in /usr/local/lib/python3.9/site-packages (from gym) (1.7.1)\n",
      "Requirement already satisfied: Pillow<=8.2.0 in /usr/local/lib/python3.9/site-packages (from gym) (8.2.0)\n",
      "Requirement already satisfied: pyglet<=1.5.15,>=1.4.0 in /usr/local/lib/python3.9/site-packages (from gym) (1.5.15)\n",
      "Requirement already satisfied: numpy>=1.10.4 in /usr/local/lib/python3.9/site-packages (from gym) (1.21.1)\n",
      "\u001b[33mWARNING: You are using pip version 21.1.3; however, version 21.2.4 is available.\n",
      "You should consider upgrading via the '/usr/local/opt/python@3.9/bin/python3.9 -m pip install --upgrade pip' command.\u001b[0m\n",
      "Requirement already satisfied: matplotlib in /usr/local/lib/python3.9/site-packages (3.4.3)\n",
      "Requirement already satisfied: numpy>=1.16 in /usr/local/lib/python3.9/site-packages (from matplotlib) (1.21.1)\n",
      "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.9/site-packages (from matplotlib) (0.10.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.9/site-packages (from matplotlib) (1.3.2)\n",
      "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.9/site-packages (from matplotlib) (2.8.2)\n",
      "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.9/site-packages (from matplotlib) (8.2.0)\n",
      "Requirement already satisfied: pyparsing>=2.2.1 in /usr/local/Cellar/sip/6.1.1/libexec/lib/python3.9/site-packages (from matplotlib) (2.4.7)\n",
      "Requirement already satisfied: six in /usr/local/lib/python3.9/site-packages (from cycler>=0.10->matplotlib) (1.16.0)\n",
      "\u001b[33mWARNING: You are using pip version 21.1.3; however, version 21.2.4 is available.\n",
      "You should consider upgrading via the '/usr/local/opt/python@3.9/bin/python3.9 -m pip install --upgrade pip' command.\u001b[0m\n",
      "Requirement already satisfied: torch in /usr/local/lib/python3.9/site-packages (1.9.0)\n",
      "Requirement already satisfied: torchvision in /usr/local/lib/python3.9/site-packages (0.10.0)\n",
      "Requirement already satisfied: torchaudio in /usr/local/lib/python3.9/site-packages (0.9.0)\n",
      "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.9/site-packages (from torch) (3.10.0.2)\n",
      "Requirement already satisfied: numpy in /usr/local/lib/python3.9/site-packages (from torchvision) (1.21.1)\n",
      "Requirement already satisfied: pillow>=5.3.0 in /usr/local/lib/python3.9/site-packages (from torchvision) (8.2.0)\n",
      "\u001b[33mWARNING: You are using pip version 21.1.3; however, version 21.2.4 is available.\n",
      "You should consider upgrading via the '/usr/local/opt/python@3.9/bin/python3.9 -m pip install --upgrade pip' command.\u001b[0m\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "source": [
    "%matplotlib inline\n",
    "import gym\n",
    "import math\n",
    "import random\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from collections import namedtuple\n",
    "from itertools import count\n",
    "from PIL import Image\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "import torch.nn.functional as F\n",
    "import torchvision.transforms as T"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Set up display"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "source": [
    "is_ipython = 'inline' in matplotlib.get_backend()\n",
    "if is_ipython: from IPython import display"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Deep Q-Network"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "source": [
    "class DQN(nn.Module):\n",
    "    def __init__(self, img_height, img_width, action_num):\n",
    "        super().__init__()\n",
    "         \n",
    "        self.fc1 = nn.Linear(in_features=img_height*img_width*3, out_features=24)   \n",
    "        self.fc2 = nn.Linear(in_features=24, out_features=32)\n",
    "        self.out = nn.Linear(in_features=32, out_features=action_num)            \n",
    "\n",
    "    def forward(self, t):\n",
    "        t = t.flatten(start_dim=1)\n",
    "        t = F.relu(self.fc1(t))\n",
    "        t = F.relu(self.fc2(t))\n",
    "        t = self.out(t)\n",
    "        return t"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Experience class"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "source": [
    "Experience = namedtuple(\n",
    "    'Experience',\n",
    "    ('state', 'action', 'next_state', 'reward')\n",
    ")"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "source": [
    "e = Experience({},[],\"a\",\"v\")\n",
    "e"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Experience(state={}, action=[], next_state='a', reward='v')"
      ]
     },
     "metadata": {},
     "execution_count": 35
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Replay Memory"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "source": [
    "class ReplayMemory():\n",
    "    def __init__(self, capacity):\n",
    "        self.capacity = capacity\n",
    "        self.memory = []\n",
    "        self.push_count = 0\n",
    "        \n",
    "    def push(self, experience):\n",
    "        if len(self.memory) < self.capacity:\n",
    "            self.memory.append(experience)\n",
    "        else:\n",
    "            self.memory[self.push_count % self.capacity] = experience\n",
    "        self.push_count += 1\n",
    "\n",
    "    def sample(self, batch_size):\n",
    "        return random.sample(self.memory, batch_size)\n",
    "    \n",
    "    def can_provide_sample(self, batch_size):\n",
    "        return len(self.memory) >= batch_size"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Epsilon Greedy Strategy"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "source": [
    "class EpsilonGreedyStrategy():\n",
    "    def __init__(self, start, end, decay):\n",
    "        self.start = start\n",
    "        self.end = end\n",
    "        self.decay = decay\n",
    "    \n",
    "    def get_exploration_rate(self, current_step):\n",
    "        return self.end + (self.start - self.end) * \\\n",
    "            math.exp(-1. * current_step * self.decay)"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Reinforcement Learning Agent"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "source": [
    "class Agent():\n",
    "    def __init__(self, strategy, num_actions, device):\n",
    "        self.current_step = 0\n",
    "        self.strategy = strategy\n",
    "        self.num_actions = num_actions\n",
    "        self.device = device\n",
    "\n",
    "    def select_action(self, state, policy_net):\n",
    "        rate = strategy.get_exploration_rate(self.current_step)\n",
    "        self.current_step += 1\n",
    "\n",
    "        if rate > random.random():\n",
    "            action = random.randrange(self.num_actions)\n",
    "            return torch.tensor([action]).to(self.device) # explore      \n",
    "        else:\n",
    "            with torch.no_grad():\n",
    "                return policy_net(state).argmax(dim=1).to(self.device) # exploit"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Environment Manager"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "source": [
    "class CartPoleEnvManager():\n",
    "    def __init__(self, device):\n",
    "        self.device = device\n",
    "        self.env = gym.make('CartPole-v0').unwrapped\n",
    "        self.env.reset()\n",
    "        self.current_screen = None\n",
    "        self.done = False\n",
    "    \n",
    "    def reset(self):\n",
    "        self.env.reset()\n",
    "        self.current_screen = None\n",
    "        \n",
    "    def close(self):\n",
    "        self.env.close()\n",
    "        \n",
    "    def render(self, mode='human'):\n",
    "        return self.env.render(mode)\n",
    "        \n",
    "    def num_actions_available(self):\n",
    "        return self.env.action_space.n\n",
    "        \n",
    "    def take_action(self, action):        \n",
    "        _, reward, self.done, _ = self.env.step(action.item())\n",
    "        return torch.tensor([reward], device=self.device)\n",
    "    \n",
    "    def just_starting(self):\n",
    "        return self.current_screen is None\n",
    "    \n",
    "    def get_state(self):\n",
    "        if self.just_starting() or self.done:\n",
    "            self.current_screen = self.get_processed_screen()\n",
    "            black_screen = torch.zeros_like(self.current_screen)\n",
    "            return black_screen\n",
    "        else:\n",
    "            s1 = self.current_screen\n",
    "            s2 = self.get_processed_screen()\n",
    "            self.current_screen = s2\n",
    "            return s2 - s1\n",
    "    \n",
    "    def get_screen_height(self):\n",
    "        screen = self.get_processed_screen()\n",
    "        return screen.shape[2]\n",
    "    \n",
    "    def get_screen_width(self):\n",
    "        screen = self.get_processed_screen()\n",
    "        return screen.shape[3]\n",
    "       \n",
    "    def get_processed_screen(self):\n",
    "        screen = self.render('rgb_array').transpose((2, 0, 1)) # PyTorch expects CHW\n",
    "        screen = self.crop_screen(screen)\n",
    "        return self.transform_screen_data(screen)\n",
    "    \n",
    "    def crop_screen(self, screen):\n",
    "        screen_height = screen.shape[1]\n",
    "        \n",
    "        # Strip off top and bottom\n",
    "        top = int(screen_height * 0.4)\n",
    "        bottom = int(screen_height * 0.8)\n",
    "        screen = screen[:, top:bottom, :]\n",
    "        return screen\n",
    "    \n",
    "    def transform_screen_data(self, screen):       \n",
    "        # Convert to float, rescale, convert to tensor\n",
    "        screen = np.ascontiguousarray(screen, dtype=np.float32) / 255\n",
    "        screen = torch.from_numpy(screen)\n",
    "        \n",
    "        # Use torchvision package to compose image transforms\n",
    "        resize = T.Compose([\n",
    "            T.ToPILImage()\n",
    "            ,T.Resize((40,90))\n",
    "            ,T.ToTensor()\n",
    "        ])\n",
    "        \n",
    "        return resize(screen).unsqueeze(0).to(self.device) # add a batch dimension (BCHW)"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example of non-processed screen"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "source": [
    "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "em = CartPoleEnvManager(device)\n",
    "em.reset()\n",
    "screen = em.render('rgb_array')\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(screen)\n",
    "plt.title('Non-processed screen example')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"263.63625pt\" version=\"1.1\" viewBox=\"0 0 366.6475 263.63625\" width=\"366.6475pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:34.161005</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 263.63625 \nL 366.6475 263.63625 \nL 366.6475 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 33.2875 239.758125 \nL 359.4475 239.758125 \nL 359.4475 22.318125 \nL 33.2875 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#p9aa89e76ca)\">\n    <image height=\"218\" id=\"image41e9d4e85d\" transform=\"scale(1 -1)translate(0 -218)\" width=\"327\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\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\" y=\"-21.758125\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mdbff50ba12\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.4234\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(30.24215 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"87.7834\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 200 -->\n      <g transform=\"translate(78.23965 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"142.1434\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 400 -->\n      <g transform=\"translate(132.59965 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"196.5034\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 600 -->\n      <g transform=\"translate(186.95965 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"250.8634\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 800 -->\n      <g transform=\"translate(241.31965 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"305.2234\" xlink:href=\"#mdbff50ba12\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1000 -->\n      <g transform=\"translate(292.4984 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mbbe75a60cb\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"22.454025\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(19.925 26.253244)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"49.634025\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <g transform=\"translate(7.2 53.433244)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"76.814025\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <g transform=\"translate(7.2 80.613244)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"103.994025\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g transform=\"translate(7.2 107.793244)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"131.174025\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g transform=\"translate(7.2 134.973244)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"158.354025\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g transform=\"translate(7.2 162.153244)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"185.534025\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <g transform=\"translate(7.2 189.333244)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbbe75a60cb\" y=\"212.714025\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 700 -->\n      <g transform=\"translate(7.2 216.513244)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 33.2875 239.758125 \nL 33.2875 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 359.4475 239.758125 \nL 359.4475 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 33.2875 239.758125 \nL 359.4475 239.758125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 33.2875 22.318125 \nL 359.4475 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- Non-processed screen example -->\n    <g transform=\"translate(102.101875 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1478 4666 \nL 3547 763 \nL 3547 4666 \nL 4159 4666 \nL 4159 0 \nL 3309 0 \nL 1241 3903 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 313 2009 \nL 1997 2009 \nL 1997 1497 \nL 313 1497 \nL 313 2009 \nz\n\" id=\"DejaVuSans-2d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4e\"/>\n     <use x=\"74.804688\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"135.986328\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"199.365234\" xlink:href=\"#DejaVuSans-2d\"/>\n     <use x=\"235.449219\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"298.925781\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"337.789062\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"398.970703\" xlink:href=\"#DejaVuSans-63\"/>\n     <use x=\"453.951172\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"515.474609\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"567.574219\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"619.673828\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"681.197266\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"744.673828\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"776.460938\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"828.560547\" xlink:href=\"#DejaVuSans-63\"/>\n     <use x=\"883.541016\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"922.404297\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"983.927734\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"1045.451172\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"1108.830078\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"1140.617188\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"1200.390625\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"1259.570312\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"1320.849609\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"1418.261719\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"1481.738281\" xlink:href=\"#DejaVuSans-6c\"/>\n     <use x=\"1509.521484\" xlink:href=\"#DejaVuSans-65\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p9aa89e76ca\">\n   <rect height=\"217.44\" width=\"326.16\" x=\"33.2875\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example of processed screen"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "source": [
    "screen = em.get_processed_screen()\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(screen.squeeze(0).permute(1, 2, 0).cpu(), interpolation='none')\n",
    "plt.title('Processed screen example')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"194.99625pt\" version=\"1.1\" viewBox=\"0 0 368.925 194.99625\" width=\"368.925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:34.733151</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M -0 194.99625 \nL 368.925 194.99625 \nL 368.925 0 \nL -0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \nL 361.725 22.318125 \nL 26.925 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#p456ecfaa72)\">\n    <image height=\"40\" id=\"image91be2597e1\" style=\"image-rendering:crisp-edges;image-rendering:pixelated\" transform=\"matrix(3.722222 0 0 3.725 26.925 22.118125)\" width=\"90\" xlink:href=\"data:image/png;base64,\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\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m5f508ec467\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.785\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(25.60375 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.985\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10 -->\n      <g transform=\"translate(59.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.185\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20 -->\n      <g transform=\"translate(96.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"140.385\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 30 -->\n      <g transform=\"translate(134.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.585\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 40 -->\n      <g transform=\"translate(171.2225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"214.785\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 50 -->\n      <g transform=\"translate(208.4225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"251.985\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 60 -->\n      <g transform=\"translate(245.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.185\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 70 -->\n      <g transform=\"translate(282.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"326.385\" xlink:href=\"#m5f508ec467\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 80 -->\n      <g transform=\"translate(320.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m480c4be3a5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m480c4be3a5\" y=\"24.178125\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0 -->\n      <g transform=\"translate(13.5625 27.977344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m480c4be3a5\" y=\"61.378125\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 10 -->\n      <g transform=\"translate(7.2 65.177344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m480c4be3a5\" y=\"98.578125\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 20 -->\n      <g transform=\"translate(7.2 102.377344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m480c4be3a5\" y=\"135.778125\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 30 -->\n      <g transform=\"translate(7.2 139.577344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 26.925 171.118125 \nL 26.925 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 361.725 171.118125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 26.925 22.318125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- Processed screen example -->\n    <g transform=\"translate(114.482813 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 1259 4147 \nL 1259 2394 \nL 2053 2394 \nQ 2494 2394 2734 2622 \nQ 2975 2850 2975 3272 \nQ 2975 3691 2734 3919 \nQ 2494 4147 2053 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 2053 4666 \nQ 2838 4666 3239 4311 \nQ 3641 3956 3641 3272 \nQ 3641 2581 3239 2228 \nQ 2838 1875 2053 1875 \nL 1259 1875 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-50\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-50\"/>\n     <use x=\"58.552734\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"97.416016\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"158.597656\" xlink:href=\"#DejaVuSans-63\"/>\n     <use x=\"213.578125\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"275.101562\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"327.201172\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"379.300781\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"440.824219\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"504.300781\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"536.087891\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"588.1875\" xlink:href=\"#DejaVuSans-63\"/>\n     <use x=\"643.167969\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"682.03125\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"743.554688\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"805.078125\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"868.457031\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"900.244141\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"960.017578\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"1019.197266\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"1080.476562\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"1177.888672\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"1241.365234\" xlink:href=\"#DejaVuSans-6c\"/>\n     <use x=\"1269.148438\" xlink:href=\"#DejaVuSans-65\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p456ecfaa72\">\n   <rect height=\"148.8\" width=\"334.8\" x=\"26.925\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAADECAYAAACGNXroAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAATkklEQVR4nO3dfZRcdX3H8fcnm0BCEhIwawwJTVApCGqCpiRUDpWHlMhR4VSxpGijxmJbrGCpyEO1cqoFPVbk2BaLgqBwQMuDREQxRCpVJLDhQRMChuckhmRjgBAMIZv99o/72+XOsA+TfZjZX/bzOmfO3nt/d+Z+5947n7nzu3dmFRGYmVl+RjS6ADMz6xsHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzglhVJ/yvpY42uY7iQ9HlJVze6DuuaA3w3IulJSdskbZW0QdKVksY1ui4zGxwO8N3PeyJiHPA2YDbwz9UzSBpZ96oyIamp0TWY1coBvpuKiHXAj4E3A0gKSadLWg2sTtP+RtKjkjZLWixpv477SzpU0pLUtkHSeWn6CEnnSHpM0u8lfV/SvqlttKSr0/TnJN0raXJq+7CkxyW9IOkJSaeWlvVRSaskPSvpNknTS23zJD0s6XlJ/wGou+cs6XBJLZK2pJq/Wmo7UtJdqa41kj6cpl8p6VJJt0p6ETha0n6SbpDUmmr9ZOlxenr+M9J6XijpaUmbJJ3fQ717SvpKmneDpG9IGpPabpX076V5r5N0RRp+g6SfpeVvknSNpImleZ+U9GlJv5b0oqTLJU2W9OO0/m+XtE9VzadJ+p2k9ZL+qYea55bW44OS3tndvFYHEeHbbnIDngSOS8P7AyuBf03jASwB9gXGAMcAmyiO1PcEvg7cmeYdD6wHzgJGp/E5qe0M4G5gWrrffwPXpraPAz8E9gKagLcDewNjgS3AQWm+KcChafhE4FHgTcBIik8Md6W2ScALwPuBUcCngDbgY908/18BH0rD44C5aXh6epwF6XFeA8xKbVcCzwPvoDig2QtYDnwO2AN4PfA4cHwNz39GWs/fTOt4JrAdeFM39V4MLE7bZHxadxemttcBG9N2OjXVMD61vRGYl5bfDNwJfK1qP7gbmAxMTY9zH3BY2p4/A/6lquZr03Z6C9DKK/vR54Gr0/BU4PfACWldzUvjzY3e94frreEF+DaAG7N44W4FngOeAv4LGJPaAjimNO/lwJdL4+OAHekFvQC4v5tlrAKOLY1PSfcbCXwUuAt4a9V9xqaa3tdRT6ntx8Ci0vgI4A8UofvXwN2lNgFr6T7A7wQuACZVTT8XuKmb+1wJfKc0Pgd4uov7f7uG598RhtNK7fcAp3SxXAEvAm8oTTsCeKI0/j5gDcUb7ZE9bPeTytsr7QenlsZvAC4tjf8D8IM03FHzwaX2LwOXp+FygH8G+G7Vsm8DFjZ63x+uN3eh7H5OioiJETE9Iv4+IraV2taUhvejCHkAImIrxdHUVIqj98e6efzpwE3pI/RzFIG2k+Jo77sUL+jr0sfxL0saFREvAn8J/C2wXtKPJB1cerxLSo+3mSLcpqYaO2uOIjHKz6HaIuCPgYdT98270/Seng9Vjzkd2K+jnlTTeen59fb8OzxTGv4DxZtjtWbS0X7psX6Spnf4IcUnmUci4hcdE1N3yHWS1knaAlxN8WmlbENpeFsX49U1ldfBUxTrvtp04OSqdXMkxZuYNYADfHgp//Tk7yhekABIGkvRtbCO4sX8+m4eYw3wrvQm0XEbHRHrImJHRFwQEYcAfwq8m+Iomoi4LSLmUbzYH6boZuh4vI9XPd6YiLiLohtn/1KNKo+/6slFrI6IBcBrgS8B16fntQZ4Q43rZQ3FUXC5nvERcUJvz7+Hx+/KJoogPbT0OBOiOAHd4YsUbxBTJC0oTf+3VPNbImJv4IP0cG6gRuX1+kcU+0e1NRRH4OXnPjYiLurnsq2PHODD17XARyTNkrQnRSgsi4gngVsoQuPMdKJtvKQ56X7fAL7YcaJRUrOkE9Pw0ZLeouJKji0UXQvt6YjxxBSm2ym6edpLj3eupEPTY0yQdHJq+xFwqKS/UHHlzCcp+oa7JOmDkpojop2iy4a0nGuA4yR9QNJISa+RNKubh7kHeEHSZySNkdQk6c2S/qS3578rUo3fBC6W9Nr0WFMlHZ+GjwI+QvEGuBD4uqSp6e7jKdbh82nap3d1+V34rKS90nb4CPC9Lua5GniPpOPTehkt6Z2Spg3A8q0PHODDVETcDnyWon90PcUR6imp7QWKE1TvoegOWA0cne56CcWJt59KeoHiZFlHuL8OuJ4ivFcBP6foVhkB/CPFUd1m4M+Av0vLuoniaPm61B2wAnhXatsEnAxcRNG9cyDwyx6e1nxgpaStqc5TImJbRDxNceLtrLT8ByhOMHa1XnZSfHKYBTxBcaT8LWBCDc9/V32G4gTu3em53w4cJGlv4DvAJ9Inm/+jOGfx7fQp5AKKk8/PU7zJ3djH5Zf9PNWyFPhKRPy0eoaIWENx0vk8ihOdayjePJwjDaKiW9HMhiNJMyjeqEZFRFuDy7Fd5HdOM7NMOcDNzDLlLhQzs0z16whc0nxJj6j4OvY5A1WUmZn1rs9H4OlSsd9SXK2wFrgXWBARDw1ceWZm1p3+/Crd4cCjEfE4FD+2Q3GJUbcBPmnSpJgxY0Y/FmlmNvwsX758U0Q0V0/vT4BPpfLrt2vp5XrYGTNm0NLS0o9FmpkNP5Ke6mr6oF+Fkn6mskVSS2tr62Avzsxs2OhPgK+j8vcTpqVpFSLisoiYHRGzm5tf9QnAzMz6qD8Bfi9woKQDJO1B8TXsxQNTlpmZ9abPfeAR0SbpExQ/H9oEXBERKwesMjMz61G//jdiRNwK3DpAtZiZ2S7wP7e1YWvnjpe6bWsaNbqOlZj1jX8LxcwsUw5wM7NMOcDNzDLlPnAbNtrbK/9fwbp7bup23mlHnFwxPmKEXyo29PgI3MwsUw5wM7NMOcDNzDLljj0bPqp++377lh5+XM3/qcoy4CNwM7NMOcDNzDLlADczy5QD3MwsUw5wM7NMOcDNzDLlADczy5QD3MwsUw5wM7NMOcDNzDLlADczy5QD3MwsUw5wM7NMOcDNzDLlADczy5QD3MwsUw5wM7NMOcDNzDLlADczy1SvAS7pCkkbJa0oTdtX0hJJq9PffQa3TDMzq1bLEfiVwPyqaecASyPiQGBpGjczszrqNcAj4k5gc9XkE4Gr0vBVwEkDW5aZmfWmr33gkyNifRp+Bpg8QPWYmVmN+n0SMyICiO7aJZ0mqUVSS2tra38XZ2ZmSV8DfIOkKQDp78buZoyIyyJidkTMbm5u7uPizMysWl8DfDGwMA0vBG4emHLMzKxWtVxGeC3wK+AgSWslLQIuAuZJWg0cl8bNzKyORvY2Q0Qs6Kbp2AGuxczMdoG/iWlmlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWWq1wCXtL+kOyQ9JGmlpDPS9H0lLZG0Ov3dZ/DLNTOzDrUcgbcBZ0XEIcBc4HRJhwDnAEsj4kBgaRo3M7M66TXAI2J9RNyXhl8AVgFTgROBq9JsVwEnDVKNZmbWhV3qA5c0AzgMWAZMjoj1qekZYPLAlmZmZj2pOcAljQNuAM6MiC3ltogIILq532mSWiS1tLa29qtYMzN7RU0BLmkURXhfExE3pskbJE1J7VOAjV3dNyIui4jZETG7ubl5IGo2MzNquwpFwOXAqoj4aqlpMbAwDS8Ebh748szMrDsja5jnHcCHgN9IeiBNOw+4CPi+pEXAU8AHBqVCMzPrUq8BHhG/ANRN87EDW46ZmdXK38Q0M8tULV0oZruJqgulor1zUCOqXwrdfeg0Gzp8BG5mlikHuJlZphzgZmaZch+4DRvR3l4x3r5jR+fwqHF7VbRJPraxoc97qZlZphzgZmaZcheKDWPlywp92aDlx0fgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZphzgZmaZcoCbmWXKAW5mlikHuJlZpnoNcEmjJd0j6UFJKyVdkKYfIGmZpEclfU/SHoNfrpmZdajlCHw7cExEzARmAfMlzQW+BFwcEW8EngUWDVqVZmb2KiN7myEiAtiaRkelWwDHAH+Vpl8FfB64dOBLNKvdyy+/3Dnc3t5e0bZzx0sV4+X2nTt3VrS99FLlvBpReazT1NTUOTxq1Ki+FWvWTzX1gUtqkvQAsBFYAjwGPBcRbWmWtcDUbu57mqQWSS2tra0DULKZmUGNAR4ROyNiFjANOBw4uNYFRMRlETE7ImY3Nzf3rUozM3uVXrtQyiLiOUl3AEcAEyWNTEfh04B1g1GgWU+2bdtWMX7++ed3Dq9ataqibc+RqhhfMHd65/CWl1ZXtP3ga4srxtsjKsaPOuqozuGzzz67oq3cvWI2mGq5CqVZ0sQ0PAaYB6wC7gDen2ZbCNw8SDWamVkXajkCnwJcJamJIvC/HxG3SHoIuE7SF4D7gcsHsU4zM6tSy1UovwYO62L64xT94WZm1gC71AduNtS0tbVVjC9btqxz+K677qpoGzN6dMX4AVO/0Dn87PObKtpuu+3KivGdVZckTpgwoXM4qvrHzerFX6U3M8uUA9zMLFMOcDOzTLkP3IaNiMrrwF/a+Uqf+Padlf3jQeW8ZkORj8DNzDLlADczy5QD3MwsU3XtA29ra2Pz5s31XKTt5rZu3VoxXn1deGXb9orxX/3ylS8Pb3+58udjIyqv+65W/tna6n165EifWrL68BG4mVmmHOBmZpmq62c9Sf54aQOqen+Sur/8r21nZbfIg6vu7/Nyy8uprsH7uNWLj8DNzDLlADczy5QD3MwsU3XtrGtqamLvvfeu5yJtN1fd512vf2dW/k/01fu0+8CtXnwEbmaWKQe4mVmmHOBmZplygJuZZcoBbmaWKQe4mVmmHOBmZpnyBauWteprrufMmdM5PJjfOZg5c2bncE+/v2I2mHwEbmaWKQe4mVmm3IViWRszZkzF+IUXXtg53N7e83/V6Y/yV/br9fV9s2o+Ajczy5QD3MwsUw5wM7NMKSLqtzCpFXgKmARsqtuCa+OaauOaajcU63JNtRlqNU2PiObqiXUN8M6FSi0RMbvuC+6Ba6qNa6rdUKzLNdVmKNbUFXehmJllygFuZpapRgX4ZQ1abk9cU21cU+2GYl2uqTZDsaZXaUgfuJmZ9Z+7UMzMMlXXAJc0X9Ijkh6VdE49l11VxxWSNkpaUZq2r6Qlklanv/vUuab9Jd0h6SFJKyWd0ei6JI2WdI+kB1NNF6TpB0halrbj9yTtUa+aSrU1Sbpf0i1DoSZJT0r6jaQHJLWkaY3epyZKul7Sw5JWSTpiCNR0UFpHHbctks4cAnV9Ku3jKyRdm/b9hu/nvalbgEtqAv4TeBdwCLBA0iH1Wn6VK4H5VdPOAZZGxIHA0jReT23AWRFxCDAXOD2tn0bWtR04JiJmArOA+ZLmAl8CLo6INwLPAovqWFOHM4BVpfGhUNPRETGrdPlZo/epS4CfRMTBwEyK9dXQmiLikbSOZgFvB/4A3NTIuiRNBT4JzI6INwNNwCkMjX2qZxFRlxtwBHBbafxc4Nx6Lb+LemYAK0rjjwBT0vAU4JFG1ZZquBmYN1TqAvYC7gPmUHzBYWRX27VOtUyjeJEfA9wCaAjU9CQwqWpaw7YdMAF4gnSeayjU1EWNfw78stF1AVOBNcC+FD/wdwtwfKP3qVpu9exC6VhJHdamaUPF5IhYn4afASY3qhBJM4DDgGWNrit1VTwAbASWAI8Bz0VEW5qlEdvxa8DZQMfPDb5mCNQUwE8lLZd0WprWyG13ANAKfDt1NX1L0tgG11TtFODaNNywuiJiHfAV4GlgPfA8sJzG71O98knMLkTxltuQy3MkjQNuAM6MiC2NrisidkbxcXcacDhwcD2XX03Su4GNEbG8kXV04ciIeBtFF+Hpko4qNzZg240E3gZcGhGHAS9S1S3R4P18D+C9wP9Ut9W7rtTffiLFm95+wFhe3cU6JNUzwNcB+5fGp6VpQ8UGSVMA0t+N9S5A0iiK8L4mIm4cKnUBRMRzwB0UHyUnSur4Lfl6b8d3AO+V9CRwHUU3yiUNrqnjKI6I2EjRp3s4jd12a4G1EbEsjV9PEehDYn+ieKO7LyI2pPFG1nUc8EREtEbEDuBGiv2softULeoZ4PcCB6Yzu3tQfHxaXMfl92YxsDANL6Tog64bSQIuB1ZFxFeHQl2SmiVNTMNjKPrkV1EE+fsbUVNEnBsR0yJiBsU+9LOIOLWRNUkaK2l8xzBF3+4KGrjtIuIZYI2kg9KkY4GHGllTlQW80n0Cja3raWCupL3S67BjXTVsn6pZPTvcgROA31L0o57fqI5/ih1nPbCD4khlEUU/6lJgNXA7sG+dazqS4mPjr4EH0u2ERtYFvBW4P9W0Avhcmv564B7gUYqPwHs2aDu+E7il0TWlZT+Ybis79u0hsE/NAlrS9vsBsE+ja0p1jQV+D0woTWv0uroAeDjt598F9hwq+3lPN38T08wsUz6JaWaWKQe4mVmmHOBmZplygJuZZcoBbmaWKQe4mVmmHOBmZplygJuZZer/AcE10VqFu1wvAAAAAElFTkSuQmCC"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {
    "scrolled": true
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example of starting state"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "source": [
    "screen = em.get_state()\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(screen.squeeze(0).permute(1, 2, 0).cpu(), interpolation='none')\n",
    "plt.title('Starting state example')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"194.99625pt\" version=\"1.1\" viewBox=\"0 0 368.925 194.99625\" width=\"368.925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:35.056518</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M -0 194.99625 \nL 368.925 194.99625 \nL 368.925 0 \nL -0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \nL 361.725 22.318125 \nL 26.925 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#p8f6007591d)\">\n    <image height=\"40\" id=\"imagece6070f0a0\" style=\"image-rendering:crisp-edges;image-rendering:pixelated\" transform=\"matrix(3.722222 0 0 3.725 26.925 22.118125)\" width=\"90\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFoAAAAoCAYAAAB+Qu3IAAAAdElEQVR4nO3QQREAIRDAsAX/nu9UUB4kCjpdM/MNx+3bAa8wOmJ0xOiI0RGjI0ZHjI4YHTE6YnTE6IjREaMjRkeMjhgdMTpidMToiNERoyNGR4yOGB0xOmJ0xOiI0RGjI0ZHjI4YHTE6YnTE6IjREaMjRkd+OBMBTy8YEgIAAAAASUVORK5CYII=\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mad969f1ae6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.785\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(25.60375 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.985\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10 -->\n      <g transform=\"translate(59.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.185\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20 -->\n      <g transform=\"translate(96.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"140.385\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 30 -->\n      <g transform=\"translate(134.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.585\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 40 -->\n      <g transform=\"translate(171.2225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"214.785\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 50 -->\n      <g transform=\"translate(208.4225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"251.985\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 60 -->\n      <g transform=\"translate(245.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.185\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 70 -->\n      <g transform=\"translate(282.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"326.385\" xlink:href=\"#mad969f1ae6\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 80 -->\n      <g transform=\"translate(320.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m599b05e858\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m599b05e858\" y=\"24.178125\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0 -->\n      <g transform=\"translate(13.5625 27.977344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m599b05e858\" y=\"61.378125\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 10 -->\n      <g transform=\"translate(7.2 65.177344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m599b05e858\" y=\"98.578125\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 20 -->\n      <g transform=\"translate(7.2 102.377344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m599b05e858\" y=\"135.778125\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 30 -->\n      <g transform=\"translate(7.2 139.577344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 26.925 171.118125 \nL 26.925 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 361.725 171.118125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 26.925 22.318125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- Starting state example -->\n    <g transform=\"translate(125.55 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 3425 4513 \nL 3425 3897 \nQ 3066 4069 2747 4153 \nQ 2428 4238 2131 4238 \nQ 1616 4238 1336 4038 \nQ 1056 3838 1056 3469 \nQ 1056 3159 1242 3001 \nQ 1428 2844 1947 2747 \nL 2328 2669 \nQ 3034 2534 3370 2195 \nQ 3706 1856 3706 1288 \nQ 3706 609 3251 259 \nQ 2797 -91 1919 -91 \nQ 1588 -91 1214 -16 \nQ 841 59 441 206 \nL 441 856 \nQ 825 641 1194 531 \nQ 1563 422 1919 422 \nQ 2459 422 2753 634 \nQ 3047 847 3047 1241 \nQ 3047 1584 2836 1778 \nQ 2625 1972 2144 2069 \nL 1759 2144 \nQ 1053 2284 737 2584 \nQ 422 2884 422 3419 \nQ 422 4038 858 4394 \nQ 1294 4750 2059 4750 \nQ 2388 4750 2728 4690 \nQ 3069 4631 3425 4513 \nz\n\" id=\"DejaVuSans-53\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-53\"/>\n     <use x=\"63.476562\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"102.685547\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"163.964844\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"205.078125\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"244.287109\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"272.070312\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"335.449219\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"398.925781\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"430.712891\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"482.8125\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"522.021484\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"583.300781\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"622.509766\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"684.033203\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"715.820312\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"775.59375\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"834.773438\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"896.052734\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"993.464844\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"1056.941406\" xlink:href=\"#DejaVuSans-6c\"/>\n     <use x=\"1084.724609\" xlink:href=\"#DejaVuSans-65\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p8f6007591d\">\n   <rect height=\"148.8\" width=\"334.8\" x=\"26.925\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example of non-starting state"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "source": [
    "for i in range(5):\n",
    "    em.take_action(torch.tensor([1]))\n",
    "screen = em.get_state()\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(screen.squeeze(0).permute(1, 2, 0).cpu(), interpolation='none')\n",
    "plt.title('Non-starting state example')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"194.99625pt\" version=\"1.1\" viewBox=\"0 0 368.925 194.99625\" width=\"368.925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:35.447011</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M -0 194.99625 \nL 368.925 194.99625 \nL 368.925 0 \nL -0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \nL 361.725 22.318125 \nL 26.925 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#pd52633eed9)\">\n    <image height=\"40\" id=\"image8bc6af8f76\" style=\"image-rendering:crisp-edges;image-rendering:pixelated\" transform=\"matrix(3.722222 0 0 3.725 26.925 22.118125)\" width=\"90\" xlink:href=\"data:image/png;base64,\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\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m31a4a9991e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.785\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(25.60375 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.985\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10 -->\n      <g transform=\"translate(59.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.185\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20 -->\n      <g transform=\"translate(96.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"140.385\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 30 -->\n      <g transform=\"translate(134.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.585\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 40 -->\n      <g transform=\"translate(171.2225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"214.785\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 50 -->\n      <g transform=\"translate(208.4225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"251.985\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 60 -->\n      <g transform=\"translate(245.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.185\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 70 -->\n      <g transform=\"translate(282.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"326.385\" xlink:href=\"#m31a4a9991e\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 80 -->\n      <g transform=\"translate(320.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m5ee1954b5a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m5ee1954b5a\" y=\"24.178125\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0 -->\n      <g transform=\"translate(13.5625 27.977344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m5ee1954b5a\" y=\"61.378125\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 10 -->\n      <g transform=\"translate(7.2 65.177344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m5ee1954b5a\" y=\"98.578125\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 20 -->\n      <g transform=\"translate(7.2 102.377344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m5ee1954b5a\" y=\"135.778125\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 30 -->\n      <g transform=\"translate(7.2 139.577344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 26.925 171.118125 \nL 26.925 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 361.725 171.118125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 26.925 22.318125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- Non-starting state example -->\n    <g transform=\"translate(112.10625 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1478 4666 \nL 3547 763 \nL 3547 4666 \nL 4159 4666 \nL 4159 0 \nL 3309 0 \nL 1241 3903 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 313 2009 \nL 1997 2009 \nL 1997 1497 \nL 313 1497 \nL 313 2009 \nz\n\" id=\"DejaVuSans-2d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4e\"/>\n     <use x=\"74.804688\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"135.986328\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"199.365234\" xlink:href=\"#DejaVuSans-2d\"/>\n     <use x=\"235.449219\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"287.548828\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"326.757812\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"388.037109\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"429.150391\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"468.359375\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"496.142578\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"559.521484\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"622.998047\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"654.785156\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"706.884766\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"746.09375\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"807.373047\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"846.582031\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"908.105469\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"939.892578\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"999.666016\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"1058.845703\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"1120.125\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"1217.537109\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"1281.013672\" xlink:href=\"#DejaVuSans-6c\"/>\n     <use x=\"1308.796875\" xlink:href=\"#DejaVuSans-65\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pd52633eed9\">\n   <rect height=\"148.8\" width=\"334.8\" x=\"26.925\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAADECAYAAACGNXroAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAATgElEQVR4nO3de5AdZZnH8e9vZnIPEAKYygUIIsJGF4KbQlBckYsGZIWqtUS8bHBxI6uWYRdLg26xoLhirTe21hJRRBQEAUGorKsgJGXpKpdwDQmRa0gwyXBJgBiJDHn2j34n6XNyJnOSmTl93szvU9U13W/36X5On55n3n66+4wiAjMzy09H1QGYmdnOcQI3M8uUE7iZWaacwM3MMuUEbmaWKSdwM7NMOYFbW5P0QUm3VB3HcCdpuqSQ1FV1LLaVE3jmJD0pqVvSuFLbRyUtanEcZ0j6zQDXsU2SiIirIuKdA49wh+I4X9KVO7D8MZJWDWVMZo04ge8aOoF5VQcxEO7Zme04J/Bdw38Cn5Y0odFMSW+RdJekF9LPt5TmLZL0RUm/lfSSpFsk7d3XhlJP+/G07BOpxPFXwCXAUZI2SFqfln23pHslvShppaTzS+vp7W2fKekp4Hbg12n2+rSeo+p79uk1Z0l6RNJ6Sd+SpDSvU9LXJD2bYvvk9k77JX1W0tPpvSyXdJyk2cDngNNSDPenZT8iaVla9nFJH0vt44D/Baak5TdImiKpQ9J8SY9Jek7StZImbme/nizpvvSe/k/Soan9tPRedk/TJ0paI2mfNH1x2rcvSlos6W2ldZ4v6TpJV6a4H5T0eknnprO2lZLeWVp+kaQvS7ozre+mvmKWtIekyyStTvvwQkmdfb0/GyIR4SHjAXgSOB64AbgwtX0UWJTGJwLrgA8DXcDpaXqvNH8R8BjwemBMmr6oj22NA14EDk7Tk4E3pPEzgN/ULX8M8NcUHYVDgbXAqWnedCCAH6b1jim1dZXWUbPeNH8BMAHYD3gGmJ3mnQUsBaYBewK/ql9faT0HAyuBKaV4Dkzj5wNX1i3/buBAQMDbgY3Am0rvc1Xd8vOA36dYRgHfAa7uY78eDnQDb6Y4m5qTPtdRaf5VwA+AvYA/AieXXvuh1N4FnAOsAUaX3sfLwLvS/B8CTwCfB0YA/wQ8UVrXIuBp4I3pM/lp736o/2yAG9N7Gge8BrgT+FjVvw/Dbag8AA8D/AC3JvA3Ai8A+1CbwD8M3Fn3mt8BZ6TxRcC/leZ9HPhFH9saB6wH/h4YUzfvDOoSeIPXfxP4RhrvTQivLc2vSRKN1pvmH12avhaYn8ZvLyeRtF/6SuCvS0nzeGBE3bzzqUvgDV7/M2BeGj+GbRP4MuC40vRk4JU+Yvk28MW6tuXA29P4BOAp4EHgO/3EtQ44rPQ+bi3N+ztgA9CZpndL+2dC6Vi4qLT8DOAvFH9Utnw2wCRgU/kYoOgYLKz692G4DS6h7CIiYglFz3R+3awpwIq6thXA1NL0mtL4RmA8gKRLSmWBz0XEn4DTKHq6qyX9j6RD+opJ0pslLZT0jKQX0uvqyzMrm3yLZQ3jpXiv5fX1ue6IeBQ4myLJdUu6RtKUvpZPpYvfS3o+lYhOYtv3UrY/cGMqiaynSOivUiS/Rsue07tsWn7f9H6IiPXAdRR/pL9WF9enU2nnhfS6PeriWlsa/zPwbES8WpqGrfsPavfZCoqeev373D+1ry7F+x2Knri1kBP4ruXfKU6Ly8n5jxS/cGX7UZwqb1dEnBUR49PwH6ntlxFxAkWP8mHgu72LN1jFj4GbgX0jYg+KOrnqN9PH+M5YTVGy6LXv9haOiB9HxNEU+yeArzSKQ9IoinLCV4FJETEB+Dlb30ujuFcCJ0bEhNIwOiIa7feVwJfqlh0bEVen7c8E/hG4GvivUlxvAz4DvA/YM8X1Atvu4x1R3mf7UZw1PNsg3k3A3qV4d4+INwxgu7YTnMB3IalX+RPgU6XmnwOvl/QBSV2STqM4NV6wo+uXNEnSKenC3SaK0/HNafZaYJqkkaWX7AY8HxEvSzoC+EA/m3gmre+1Oxpbci0wT9JUFRd0P9vXgpIOlnRsSs4vU/RGy+9luqTe34+RFHXsZ4AeSScC5Vsb1wJ7Sdqj1HYJ8CVJ+6ft7SPplD7C+S5wVjpjkaRxKi4A7yZpNHAlxYXVjwBTJX08vW43oCfF1SXpPGD37e+ifn1I0gxJY4EvANeXeuwARMRq4Bbga5J2TxdsD5T09gFu23aQE/iu5wsUtWoAIuI54GSKC1zPUfTYTo6I+l5VMzqAf6Xo1T9PcTHvn9O824GHgDWSetf9ceALkl4CzqNIsH2KiI3Al4DfplPzI3cwvu9SJJYHgHsp/nj1UJQu6o0CLqLoXa6hOP0/N827Lv18TtI9EfESxR/FaylqzB+gOLPojfthit7x4ynuKcDFaZlb0vv/PcVFykbv+26KM6f/Tut/lKL2D/BlYGVEfDsiNlFctLxQ0kHAL4FfAH+gKHe8zM6VpMp+RHHBdA0wmtrOQNk/UPxhW5pivp7irMxaSBH+hw62a0o95Usior6EZA2oePjryoj4XtWxWHPcA7ddhqQxkk5KpaKpFNcEbqw6LrOh4gRuuxIBF1Cc0t9LcefHeZVGZDaEXEIxM8vUgHrgkmareAT5UUn19x+bmdkQ2ukeePregz8AJwCrgLuA0yNi6eCFZ2ZmfRnIN8AdATwaEY8DSLoGOIXitqKGJLleY2a2456NiH3qGwdSQplK7T2nq6h9AtDMzAZH/ddhAAPrgTdF0lxg7lBvx8xsuBlIAn+a2u9NmEaD79eIiEuBS8ElFDOzwTSQEspdwEGSDkjff/F+So8Xm5nZ0NrpHnhE9Ej6JMX3MXQC34+IhwYtMjMz266WPsjjEoqZ2U5ZHBGz6hv9j2TNAFRXTYzNjZczayP+LhQzs0w5gZuZZcoJ3MwsU66BmwFj996vZvrPz9b+Y5u6/ypm1hbcAzczy5QTuJlZppzAzcwy5Rq4GdDROaK2Qaqd9iNo1obcAzczy5QTuJlZppzAzcwy5Rq4GfDqX16uOgSzHeYeuJlZppzAzcwy5RKKGRD++ljLkHvgZmaZcgI3M8uUE7iZWaZcAzcDNm9zG6Gfnbf25x64mVmmnMDNzDLlBG5mlinXwM0AfB+4Zcg9cDOzTDmBm5llygnczCxTroGbAa/21N4HHpt9H7i1v3574JK+L6lb0pJS20RJt0p6JP3cc2jDNDOzes2UUH4AzK5rmw/cFhEHAbelaTMza6F+E3hE/Bp4vq75FOCKNH4FcOrghmXWWhFRM5jlYGcvYk6KiNVpfA0waZDiMTOzJg34ImZEhKQ+uyyS5gJzB7odMzOrtbM98LWSJgOkn919LRgRl0bErIiYtZPbMjOzBnY2gd8MzEnjc4CbBiccs2ps7vlLzQCb6waz9tPMbYRXA78DDpa0StKZwEXACZIeAY5P02Zm1kJq5RX37dXKzSqlur6Mv9zK2sviRmVoP0pvZpYpP0pvBu5xW5bcAzczy5QTuJlZplxCsWFEtVMdnVvGY3NPq4MxGzD3wM3MMuUEbmaWKSdwM7NMuQZuw0hdDbxz6+HvGrjlyD1wM7NMOYGbmWXKCdzMLFOugdvwUVsCp6Nj6+HvB+ktR+6Bm5llygnczCxTTuBmZplyDdyGDam2CN7RNXLrxKYWB2M2CNwDNzPLlBO4mVmmXEKxYav8dbJmOXIP3MwsU07gZmaZcgI3M8uUa+A2jNTdRjhidEVxmA0O98DNzDLlBG5mlikncDOzTLkGbsNW/aP1ZrnptwcuaV9JCyUtlfSQpHmpfaKkWyU9kn7uOfThmplZr2ZKKD3AORExAzgS+ISkGcB84LaIOAi4LU2bmVmL9JvAI2J1RNyTxl8ClgFTgVOAK9JiVwCnDlGMZkOic+SYLYNZjnboIqak6cDhwB3ApIhYnWatASYNbmhmZrY9TV/ElDQe+ClwdkS8WL4AFBEhKfp43Vxg7kADNTOzWk31wCWNoEjeV0XEDal5raTJaf5koLvRayPi0oiYFRGzBiNgMzMrNHMXioDLgGUR8fXSrJuBOWl8DnDT4IdnNoTUsXUwy1AzJZS3Ah8GHpR0X2r7HHARcK2kM4EVwPuGJEIzM2uo3wQeEb+h/luAtjpucMMxM7Nm+dzRzCxTfpTehpG6r5Md5fu/LW/ugZuZZcoJ3MwsU07gZmaZcg3chg111PZXOkeOqigSs8HhHriZWaacwM3MMuUSig1bHV0uoVje3AM3M8uUE7iZWaacwM3MMuUauA1bHR0+/C1v7oGbmWXKCdzMLFNO4GZmmXIR0Iatjs4RVYdgNiDugZuZZcoJ3MwsU07gZmaZcg3chi11+vC3vLkHbmaWKSdwM7NM+RzShi11dFYdgtmAuAduZpYpJ3Azs0w5gZuZZco1cBu25EfpLXPugZuZZarfBC5ptKQ7Jd0v6SFJF6T2AyTdIelRST+RNHLowzUzs17N9MA3AcdGxGHATGC2pCOBrwDfiIjXAeuAM4csSjMz20a/CTwKG9LkiDQEcCxwfWq/Ajh1KAI02xFdXV1bhv709Ly6ZTDLUVM1cEmdku4DuoFbgceA9RHRkxZZBUzt47VzJd0t6e5BiNfMzJKmEnhEvBoRM4FpwBHAIc1uICIujYhZETFr50I0M7NGdug2wohYL2khcBQwQVJX6oVPA54eigDNtmf06NE10/Pmzdsyfvnll9fM6+7urplee/cNW8an7TWuZt5rxtf+atyz4oUBxWk2FJq5C2UfSRPS+BjgBGAZsBB4b1psDnDTEMVoZmYNNNMDnwxcIamTIuFfGxELJC0FrpF0IXAvcNkQxmlmZnX6TeAR8QBweIP2xynq4WZmVgE/Sm9Zq79d8NBDD90yPnbs2KbXM3L8gTXT46fsV7vAigU7HpzZEPOj9GZmmXICNzPLlBO4mVmmXAM3AzbVPU4/cmTz9XOzqrgHbmaWKSdwM7NMOYGbmWXKNXDLWkTUTG/YsGHL+ObNm5tez7p1f6yZfnj5uoEFZtYC7oGbmWXKCdzMLFMuodgupbOzc6det3Hjuu1Om7Uj98DNzDLlBG5mlikncDOzTLkGblmTVDM9ZsyYLeMdHe6f2K7NR7iZWaacwM3MMuUEbmaWKSdwM7NMOYGbmWXKCdzMLFNO4GZmmfJ94Ja1np6emukHHnhgy/jGjRtbHY5ZS7kHbmaWKSdwM7NMqf4/mgzpxqTWbcyGpREjRmwZf+WVVyqMxGxQLY6IWfWN7oGbmWXKCdzMLFNO4GZmmWr1bYTPAiuAvdN4O3FMzWnrmNqs7t3W+6qNOKb+7d+osaUXMbdsVLq7UUG+So6pOY6pee0Yl2NqTjvG1IhLKGZmmXICNzPLVFUJ/NKKtrs9jqk5jql57RiXY2pOO8a0jUpq4GZmNnAuoZiZZaqlCVzSbEnLJT0qaX4rt10Xx/cldUtaUmqbKOlWSY+kn3u2OKZ9JS2UtFTSQ5LmVR2XpNGS7pR0f4rpgtR+gKQ70uf4E0kjWxVTKbZOSfdKWtAOMUl6UtKDku6TdHdqq/qYmiDpekkPS1om6ag2iOngtI96hxclnd0Gcf1LOsaXSLo6HfuVH+f9aVkCl9QJfAs4EZgBnC5pRqu2X+cHwOy6tvnAbRFxEHBbmm6lHuCciJgBHAl8Iu2fKuPaBBwbEYcBM4HZko4EvgJ8IyJeB6wDzmxhTL3mActK0+0Q0zsiYmbp9rOqj6mLgV9ExCHAYRT7q9KYImJ52kczgb8BNgI3VhmXpKnAp4BZEfFGoBN4P+1xTG1fRLRkAI4CflmaPhc4t1XbbxDPdGBJaXo5MDmNTwaWVxVbiuEm4IR2iQsYC9wDvJniAYeuRp9ri2KZRvFLfiywAFAbxPQksHddW2WfHbAH8ATpOlc7xNQgxncCv606LmAqsBKYSPFw4wLgXVUfU80MrSyh9O6kXqtSW7uYFBGr0/gaYFJVgUiaDhwO3FF1XKlUcR/QDdwKPAasj4je/6RQxef4TeAzwOY0vVcbxBTALZIWS5qb2qr87A4AngEuT6Wm70kaV3FM9d4PXJ3GK4srIp4Gvgo8BawGXgAWU/0x1S9fxGwgij+5ldyeI2k88FPg7Ih4seq4IuLVKE53pwFHAIe0cvv1JJ0MdEfE4irjaODoiHgTRYnwE5L+tjyzgs+uC3gT8O2IOBz4E3VliYqP85HAe4Dr6ue1Oq5Ubz+F4o/eFGAc25ZY21IrE/jTwL6l6WmprV2slTQZIP3sbnUAkkZQJO+rIuKGdokLICLWAwspTiUnSOr9Hp1Wf45vBd4j6UngGooyysUVx9TbiyMiuilqukdQ7We3ClgVEXek6espEnpbHE8Uf+juiYi1abrKuI4HnoiIZyLiFeAGiuOs0mOqGa1M4HcBB6UruyMpTp9ubuH2+3MzMCeNz6GoQbeMJAGXAcsi4uvtEJekfSRNSONjKGryyygS+XuriCkizo2IaRExneIYuj0iPlhlTJLGSdqtd5yitruECj+7iFgDrJR0cGo6DlhaZUx1Tmdr+QSqjesp4EhJY9PvYe++quyYalorC+7AScAfKOqon6+q8E9x4KwGXqHoqZxJUUe9DXgE+BUwscUxHU1x2vgAcF8aTqoyLuBQ4N4U0xLgvNT+WuBO4FGKU+BRFX2OxwALqo4pbfv+NDzUe2y3wTE1E7g7fX4/A/asOqYU1zjgOWCPUlvV++oC4OF0nP8IGNUux/n2Bj+JaWaWKV/ENDPLlBO4mVmmnMDNzDLlBG5mlikncDOzTDmBm5llygnczCxTTuBmZpn6f+N5sN3PbHFNAAAAAElFTkSuQmCC"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example of end state"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "source": [
    "em.done = True\n",
    "screen = em.get_state()\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(screen.squeeze(0).permute(1, 2, 0).cpu(), interpolation='none')\n",
    "plt.title('Ending state example')\n",
    "plt.show()\n",
    "em.close()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"194.99625pt\" version=\"1.1\" viewBox=\"0 0 368.925 194.99625\" width=\"368.925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:35.818003</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M -0 194.99625 \nL 368.925 194.99625 \nL 368.925 0 \nL -0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \nL 361.725 22.318125 \nL 26.925 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#p324fae9b5c)\">\n    <image height=\"40\" id=\"imagef6eb76c4b8\" style=\"image-rendering:crisp-edges;image-rendering:pixelated\" transform=\"matrix(3.722222 0 0 3.725 26.925 22.118125)\" width=\"90\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFoAAAAoCAYAAAB+Qu3IAAAAdElEQVR4nO3QQREAIRDAsAX/nu9UUB4kCjpdM/MNx+3bAa8wOmJ0xOiI0RGjI0ZHjI4YHTE6YnTE6IjREaMjRkeMjhgdMTpidMToiNERoyNGR4yOGB0xOmJ0xOiI0RGjI0ZHjI4YHTE6YnTE6IjREaMjRkd+OBMBTy8YEgIAAAAASUVORK5CYII=\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m226478cf66\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"28.785\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(25.60375 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.985\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10 -->\n      <g transform=\"translate(59.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.185\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20 -->\n      <g transform=\"translate(96.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"140.385\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 30 -->\n      <g transform=\"translate(134.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.585\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 40 -->\n      <g transform=\"translate(171.2225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"214.785\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 50 -->\n      <g transform=\"translate(208.4225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"251.985\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 60 -->\n      <g transform=\"translate(245.6225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.185\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 70 -->\n      <g transform=\"translate(282.8225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"326.385\" xlink:href=\"#m226478cf66\" y=\"171.118125\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 80 -->\n      <g transform=\"translate(320.0225 185.716562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m6f46ba3dd7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m6f46ba3dd7\" y=\"24.178125\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0 -->\n      <g transform=\"translate(13.5625 27.977344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m6f46ba3dd7\" y=\"61.378125\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 10 -->\n      <g transform=\"translate(7.2 65.177344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m6f46ba3dd7\" y=\"98.578125\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 20 -->\n      <g transform=\"translate(7.2 102.377344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"26.925\" xlink:href=\"#m6f46ba3dd7\" y=\"135.778125\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 30 -->\n      <g transform=\"translate(7.2 139.577344)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 26.925 171.118125 \nL 26.925 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 361.725 171.118125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 26.925 171.118125 \nL 361.725 171.118125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 26.925 22.318125 \nL 361.725 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- Ending state example -->\n    <g transform=\"translate(128.804063 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 3578 4666 \nL 3578 4134 \nL 1259 4134 \nL 1259 2753 \nL 3481 2753 \nL 3481 2222 \nL 1259 2222 \nL 1259 531 \nL 3634 531 \nL 3634 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-45\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-45\"/>\n     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"126.5625\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"190.039062\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"217.822266\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"281.201172\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"344.677734\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"376.464844\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"428.564453\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"467.773438\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"529.052734\" xlink:href=\"#DejaVuSans-74\"/>\n     <use x=\"568.261719\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"629.785156\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"661.572266\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"721.345703\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"780.525391\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"841.804688\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"939.216797\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"1002.693359\" xlink:href=\"#DejaVuSans-6c\"/>\n     <use x=\"1030.476562\" xlink:href=\"#DejaVuSans-65\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p324fae9b5c\">\n   <rect height=\"148.8\" width=\"334.8\" x=\"26.925\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Utility functions"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Plotting"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "source": [
    "def plot(values, moving_avg_period):\n",
    "    plt.figure(2)\n",
    "    plt.clf()        \n",
    "    plt.title('Training...')\n",
    "    plt.xlabel('Episode')\n",
    "    plt.ylabel('Duration')\n",
    "    plt.plot(values)\n",
    "    \n",
    "    moving_avg = get_moving_average(moving_avg_period, values)\n",
    "    plt.plot(moving_avg)    \n",
    "    plt.pause(0.001)\n",
    "    print(\"Episode\", len(values), \"\\n\", \\\n",
    "          moving_avg_period, \"episode moving avg:\", moving_avg[-1])\n",
    "    if is_ipython: display.clear_output(wait=True)\n",
    "\n",
    "def get_moving_average(period, values):\n",
    "    values = torch.tensor(values, dtype=torch.float)\n",
    "    if len(values) >= period:\n",
    "        moving_avg = values.unfold(dimension=0, size=period, step=1) \\\n",
    "            .mean(dim=1).flatten(start_dim=0)\n",
    "        moving_avg = torch.cat((torch.zeros(period-1), moving_avg))\n",
    "        return moving_avg.numpy()\n",
    "    else:\n",
    "        moving_avg = torch.zeros(len(values))\n",
    "        return moving_avg.numpy()"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "source": [
    "plot(np.random.rand(300), 100)"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 385.78125 277.314375\" width=\"385.78125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:33:36.217430</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 277.314375 \nL 385.78125 277.314375 \nL 385.78125 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 239.758125 \nL 378.58125 239.758125 \nL 378.58125 22.318125 \nL 43.78125 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m6bbf2db9bd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"58.999432\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(55.818182 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"109.896361\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 50 -->\n      <g transform=\"translate(103.533861 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"160.79329\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 100 -->\n      <g transform=\"translate(151.24954 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"211.690219\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 150 -->\n      <g transform=\"translate(202.146469 254.356562)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.587148\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 200 -->\n      <g transform=\"translate(253.043398 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"313.484078\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 250 -->\n      <g transform=\"translate(303.940328 254.356562)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"364.381007\" xlink:href=\"#m6bbf2db9bd\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 300 -->\n      <g transform=\"translate(354.837257 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_8\">\n     <!-- Episode -->\n     <g transform=\"translate(191.54375 268.034687)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 628 4666 \nL 3578 4666 \nL 3578 4134 \nL 1259 4134 \nL 1259 2753 \nL 3481 2753 \nL 3481 2222 \nL 1259 2222 \nL 1259 531 \nL 3634 531 \nL 3634 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-45\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-45\"/>\n      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"126.660156\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"154.443359\" xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"206.542969\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"267.724609\" xlink:href=\"#DejaVuSans-64\"/>\n      <use x=\"331.201172\" xlink:href=\"#DejaVuSans-65\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mc722cc58c3\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"229.874489\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 233.673707)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"190.078825\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.2 -->\n      <g transform=\"translate(20.878125 193.878044)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"150.283162\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.4 -->\n      <g transform=\"translate(20.878125 154.08238)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"110.487498\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.6 -->\n      <g transform=\"translate(20.878125 114.286717)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"70.691835\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.8 -->\n      <g transform=\"translate(20.878125 74.491053)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc722cc58c3\" y=\"30.896171\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 1.0 -->\n      <g transform=\"translate(20.878125 34.69539)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_15\">\n     <!-- Duration -->\n     <g transform=\"translate(14.798438 152.75375)rotate(-90)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 1259 4147 \nL 1259 519 \nL 2022 519 \nQ 2988 519 3436 956 \nQ 3884 1394 3884 2338 \nQ 3884 3275 3436 3711 \nQ 2988 4147 2022 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 1925 4666 \nQ 3281 4666 3915 4102 \nQ 4550 3538 4550 2338 \nQ 4550 1131 3912 565 \nQ 3275 0 1925 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-44\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-44\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"140.380859\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"181.494141\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"242.773438\" xlink:href=\"#DejaVuSans-74\"/>\n      <use x=\"281.982422\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"309.765625\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"370.947266\" xlink:href=\"#DejaVuSans-6e\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#pe558d97fd7)\" d=\"M 58.999432 227.161725 \nL 60.01737 133.85625 \nL 61.035309 88.818407 \nL 62.053248 82.0242 \nL 63.071186 33.347031 \nL 64.089125 83.288983 \nL 65.107063 99.845326 \nL 66.125002 196.026627 \nL 67.14294 163.714196 \nL 68.160879 88.528866 \nL 69.178818 118.554501 \nL 70.196756 142.056532 \nL 71.214695 73.702473 \nL 72.232633 203.131439 \nL 73.250572 150.864619 \nL 74.268511 163.681058 \nL 75.286449 59.27209 \nL 76.304388 70.361195 \nL 77.322326 90.937009 \nL 78.340265 128.237415 \nL 79.358203 83.279958 \nL 80.376142 139.539351 \nL 81.394081 123.628557 \nL 82.412019 164.700343 \nL 83.429958 163.905347 \nL 84.447896 34.103383 \nL 85.465835 229.200291 \nL 86.483774 220.553238 \nL 87.501712 100.779832 \nL 88.519651 217.047807 \nL 89.537589 42.363799 \nL 90.555528 69.76734 \nL 91.573466 126.925758 \nL 92.591405 92.559811 \nL 93.609344 45.873691 \nL 95.645221 104.010546 \nL 96.663159 155.460318 \nL 97.681098 222.861786 \nL 98.699037 87.169556 \nL 99.716975 171.092042 \nL 100.734914 145.884094 \nL 101.752852 50.284731 \nL 102.770791 229.420222 \nL 103.788729 196.575424 \nL 104.806668 101.738657 \nL 105.824607 92.834343 \nL 106.842545 116.684407 \nL 107.860484 161.018122 \nL 108.878422 47.623156 \nL 109.896361 129.895828 \nL 110.9143 165.923768 \nL 111.932238 33.987616 \nL 112.950177 123.768895 \nL 113.968115 146.512373 \nL 114.986054 50.439879 \nL 116.003992 123.053231 \nL 117.021931 173.258582 \nL 118.03987 179.217389 \nL 119.057808 93.237817 \nL 120.075747 83.397477 \nL 121.093685 132.916711 \nL 122.111624 219.946689 \nL 123.129563 76.450628 \nL 124.147501 94.765773 \nL 125.16544 102.762198 \nL 126.183378 205.876075 \nL 127.201317 200.354158 \nL 128.219255 82.220802 \nL 130.255133 108.142551 \nL 131.273071 212.770078 \nL 132.29101 176.86663 \nL 133.308948 154.728721 \nL 134.326887 78.982836 \nL 135.344826 121.983135 \nL 136.362764 37.158425 \nL 137.380703 83.218256 \nL 138.398641 180.326617 \nL 139.41658 35.996275 \nL 140.434518 46.139946 \nL 141.452457 205.74939 \nL 142.470396 133.137189 \nL 143.488334 112.040194 \nL 144.506273 68.679726 \nL 145.524211 179.003525 \nL 146.54215 35.816504 \nL 147.560089 221.520465 \nL 148.578027 201.526595 \nL 149.595966 89.812907 \nL 150.613904 48.576768 \nL 151.631843 40.127841 \nL 152.649781 177.278103 \nL 153.66772 82.976847 \nL 154.685659 32.201761 \nL 155.703597 214.445495 \nL 156.721536 202.815028 \nL 157.739474 216.983146 \nL 158.757413 165.692509 \nL 159.775352 225.046927 \nL 160.79329 159.761335 \nL 161.811229 176.286303 \nL 162.829167 40.555628 \nL 163.847106 127.07645 \nL 164.865044 191.395865 \nL 165.882983 165.444591 \nL 166.900922 33.020483 \nL 167.91886 65.720073 \nL 168.936799 135.431193 \nL 169.954737 74.597971 \nL 170.972676 37.688593 \nL 171.990615 100.919811 \nL 173.008553 58.527684 \nL 174.026492 213.516515 \nL 175.04443 112.115619 \nL 176.062369 171.788649 \nL 177.080307 105.805475 \nL 178.098246 179.731954 \nL 179.116185 80.501362 \nL 180.134123 155.612935 \nL 181.152062 154.851734 \nL 182.17 150.560841 \nL 183.187939 144.641594 \nL 184.205878 229.368425 \nL 185.223816 222.220996 \nL 186.241755 161.64994 \nL 187.259693 119.513833 \nL 188.277632 131.959089 \nL 189.29557 125.149742 \nL 190.313509 204.198873 \nL 191.331448 164.080872 \nL 192.349386 35.71752 \nL 193.367325 219.546261 \nL 194.385263 41.548849 \nL 195.403202 104.133375 \nL 196.421141 129.284727 \nL 197.439079 163.478262 \nL 198.457018 145.988756 \nL 199.474956 182.274607 \nL 200.492895 167.373237 \nL 201.510833 125.967914 \nL 202.528772 51.180644 \nL 203.546711 107.137927 \nL 204.564649 185.178639 \nL 205.582588 204.007893 \nL 206.600526 100.354789 \nL 207.618465 146.208523 \nL 208.636404 132.053191 \nL 209.654342 137.912716 \nL 210.672281 175.418864 \nL 211.690219 171.643213 \nL 212.708158 229.117254 \nL 213.726096 38.823513 \nL 214.744035 68.70258 \nL 215.761974 138.168276 \nL 216.779912 224.65847 \nL 217.797851 128.307715 \nL 218.815789 66.660478 \nL 219.833728 190.997771 \nL 220.851667 171.028989 \nL 221.869605 145.002698 \nL 222.887544 195.909997 \nL 223.905482 50.410195 \nL 224.923421 93.966125 \nL 225.941359 107.283248 \nL 226.959298 188.241152 \nL 227.977237 171.113269 \nL 228.995175 101.191785 \nL 230.013114 211.961841 \nL 231.031052 90.012123 \nL 232.048991 176.700058 \nL 233.06693 213.990379 \nL 234.084868 206.062799 \nL 235.102807 58.142089 \nL 236.120745 54.761887 \nL 237.138684 173.355014 \nL 238.156622 226.536952 \nL 239.174561 92.723968 \nL 240.1925 77.862911 \nL 241.210438 183.347676 \nL 242.228377 172.10768 \nL 243.246315 145.802747 \nL 244.264254 87.847116 \nL 245.282193 120.621251 \nL 246.300131 113.712712 \nL 247.31807 172.744123 \nL 248.336008 171.621665 \nL 249.353947 37.60761 \nL 250.371885 214.891565 \nL 251.389824 110.788227 \nL 252.407763 190.184629 \nL 253.425701 162.227604 \nL 254.44364 168.778278 \nL 255.461578 43.995498 \nL 256.479517 172.350414 \nL 257.497456 71.066097 \nL 258.515394 69.909255 \nL 259.533333 93.566862 \nL 260.551271 130.636116 \nL 261.56921 155.115024 \nL 262.587148 216.615684 \nL 263.605087 196.137396 \nL 264.623026 147.831233 \nL 265.640964 107.24481 \nL 266.658903 188.074005 \nL 267.676841 150.991898 \nL 268.69478 188.997964 \nL 269.712719 43.433364 \nL 270.730657 67.849923 \nL 271.748596 164.631669 \nL 272.766534 104.956499 \nL 273.784473 131.252045 \nL 274.802411 182.603704 \nL 275.82035 172.691379 \nL 276.838289 197.732357 \nL 277.856227 152.381545 \nL 278.874166 165.330454 \nL 279.892104 35.608759 \nL 280.910043 142.985473 \nL 281.927982 85.293813 \nL 282.94592 73.226416 \nL 283.963859 187.018932 \nL 284.981797 34.510778 \nL 287.017674 150.196867 \nL 288.035613 91.987438 \nL 289.053552 58.533802 \nL 290.07149 187.876129 \nL 291.089429 59.05035 \nL 292.107367 86.381959 \nL 293.125306 225.911535 \nL 294.143245 162.135746 \nL 295.161183 175.952602 \nL 296.179122 193.317756 \nL 297.19706 89.205494 \nL 298.214999 90.468558 \nL 299.232937 41.419019 \nL 300.250876 50.419055 \nL 301.268815 136.415098 \nL 302.286753 132.952084 \nL 303.304692 207.937894 \nL 304.32263 73.773067 \nL 305.340569 46.590985 \nL 306.358508 199.015719 \nL 307.376446 160.042203 \nL 308.394385 32.330296 \nL 309.412323 186.652959 \nL 311.4482 73.336669 \nL 312.466139 100.76426 \nL 313.484078 138.46175 \nL 314.502016 168.414735 \nL 315.519955 141.042909 \nL 316.537893 168.899763 \nL 317.555832 53.900085 \nL 318.573771 213.144003 \nL 319.591709 199.184495 \nL 320.609648 72.996589 \nL 321.627586 81.272156 \nL 322.645525 149.0719 \nL 323.663463 121.898601 \nL 324.681402 173.085628 \nL 325.699341 178.377326 \nL 326.717279 129.542088 \nL 327.735218 134.851828 \nL 328.753156 120.344274 \nL 329.771095 146.808699 \nL 330.789034 196.870167 \nL 331.806972 57.56497 \nL 332.824911 150.136874 \nL 333.842849 223.224971 \nL 334.860788 189.749086 \nL 335.878726 60.958629 \nL 336.896665 67.226293 \nL 337.914604 203.989201 \nL 338.932542 43.309183 \nL 339.950481 192.587862 \nL 340.968419 101.642263 \nL 341.986358 190.139936 \nL 343.004297 53.027839 \nL 344.022235 121.964221 \nL 345.040174 183.293112 \nL 346.058112 55.13079 \nL 347.076051 67.785744 \nL 348.093989 166.914055 \nL 349.111928 209.82533 \nL 350.129867 186.504362 \nL 351.147805 69.631625 \nL 352.165744 184.485071 \nL 353.183682 93.435359 \nL 354.201621 107.59393 \nL 355.21956 93.218104 \nL 356.237498 195.894376 \nL 357.255437 193.228541 \nL 358.273375 229.236722 \nL 359.291314 200.608775 \nL 360.309252 159.900438 \nL 361.327191 213.904661 \nL 362.34513 74.681753 \nL 363.363068 82.443948 \nL 363.363068 82.443948 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#pe558d97fd7)\" d=\"M 58.999432 229.874489 \nL 158.757413 229.874489 \nL 159.775352 126.110227 \nL 160.79329 125.436222 \nL 161.811229 125.860526 \nL 162.829167 125.377894 \nL 163.847106 125.828409 \nL 164.865044 127.408913 \nL 165.882983 128.230469 \nL 166.900922 127.562227 \nL 167.91886 126.259154 \nL 168.936799 125.976316 \nL 169.954737 125.837008 \nL 170.972676 125.028355 \nL 171.990615 124.61699 \nL 173.008553 124.465241 \nL 174.026492 124.569099 \nL 175.04443 124.181596 \nL 176.062369 124.262671 \nL 177.080307 124.728 \nL 178.098246 125.821708 \nL 179.116185 125.717364 \nL 180.134123 125.991117 \nL 181.152062 126.706846 \nL 183.187939 127.027174 \nL 185.223816 128.257012 \nL 186.241755 129.532487 \nL 187.259693 128.435612 \nL 188.277632 127.549679 \nL 189.29557 127.793367 \nL 190.313509 127.664876 \nL 191.331448 128.882059 \nL 192.349386 128.541557 \nL 193.367325 129.467767 \nL 194.385263 128.957655 \nL 197.439079 130.68814 \nL 198.457018 130.593426 \nL 199.474956 130.187552 \nL 200.492895 130.989599 \nL 201.510833 130.538354 \nL 202.528772 129.591324 \nL 203.546711 130.159847 \nL 204.564649 129.717432 \nL 206.600526 129.777918 \nL 207.618465 130.311655 \nL 208.636404 130.46535 \nL 209.654342 130.234292 \nL 210.672281 131.512246 \nL 211.690219 131.92972 \nL 212.708158 132.561658 \nL 213.726096 132.610011 \nL 214.744035 132.05935 \nL 215.761974 131.975908 \nL 216.779912 133.718094 \nL 217.797851 133.77064 \nL 218.815789 132.704666 \nL 219.833728 132.822472 \nL 220.851667 133.600383 \nL 222.887544 134.846362 \nL 223.905482 133.151 \nL 225.941359 133.451326 \nL 226.959298 134.306114 \nL 227.977237 133.958491 \nL 228.995175 132.966867 \nL 230.013114 134.264272 \nL 231.031052 134.214057 \nL 232.048991 134.899632 \nL 233.06693 134.911842 \nL 234.084868 135.203806 \nL 235.102807 134.237931 \nL 236.120745 133.995731 \nL 237.138684 134.509443 \nL 238.156622 136.403229 \nL 239.174561 136.498293 \nL 240.1925 135.473645 \nL 241.210438 136.947165 \nL 242.228377 138.206849 \nL 243.246315 137.607372 \nL 244.264254 137.154473 \nL 245.282193 137.240286 \nL 246.300131 137.690611 \nL 247.31807 137.62802 \nL 248.336008 138.986071 \nL 249.353947 137.146936 \nL 251.389824 137.490343 \nL 252.407763 138.906425 \nL 253.425701 140.127421 \nL 254.44364 140.042426 \nL 255.461578 139.652611 \nL 256.479517 141.054093 \nL 258.515394 138.291245 \nL 259.533333 137.057072 \nL 260.551271 136.706519 \nL 261.56921 136.007198 \nL 262.587148 136.575745 \nL 263.605087 136.774258 \nL 264.623026 137.847016 \nL 265.640964 137.648692 \nL 266.658903 137.615466 \nL 267.676841 137.47094 \nL 268.69478 139.030718 \nL 269.712719 138.807856 \nL 270.730657 138.132042 \nL 271.748596 139.032384 \nL 272.766534 139.705062 \nL 273.784473 140.008388 \nL 274.802411 141.249143 \nL 275.82035 140.840891 \nL 276.838289 141.697061 \nL 277.856227 141.502995 \nL 278.874166 142.098238 \nL 279.892104 140.657007 \nL 280.910043 141.281841 \nL 282.94592 139.762405 \nL 283.963859 140.126982 \nL 284.981797 139.025672 \nL 285.999736 137.656787 \nL 289.053552 135.630121 \nL 290.07149 136.189291 \nL 291.089429 135.528296 \nL 292.107367 134.350127 \nL 293.125306 134.968426 \nL 294.143245 136.232616 \nL 295.161183 135.796677 \nL 296.179122 137.314364 \nL 297.19706 137.165087 \nL 298.214999 136.776926 \nL 299.232937 135.556333 \nL 300.250876 134.60064 \nL 302.286753 133.797823 \nL 303.304692 134.617529 \nL 304.32263 134.843451 \nL 305.340569 134.23799 \nL 306.358508 134.376355 \nL 307.376446 133.936704 \nL 308.394385 133.25646 \nL 309.412323 133.660899 \nL 310.430262 133.629126 \nL 312.466139 132.236817 \nL 313.484078 131.905003 \nL 314.502016 131.297971 \nL 316.537893 133.322141 \nL 317.555832 132.479456 \nL 318.573771 132.364307 \nL 319.591709 133.07308 \nL 320.609648 133.136454 \nL 321.627586 132.039194 \nL 324.681402 131.360325 \nL 325.699341 132.640005 \nL 327.735218 133.271433 \nL 328.753156 132.59247 \nL 329.771095 132.349434 \nL 330.789034 133.306224 \nL 331.806972 131.762256 \nL 332.824911 132.3635 \nL 333.842849 132.828746 \nL 334.860788 132.586332 \nL 335.878726 131.135293 \nL 336.896665 131.226135 \nL 337.914604 132.718412 \nL 338.932542 131.417947 \nL 339.950481 131.078454 \nL 340.968419 131.167641 \nL 341.986358 132.290413 \nL 343.004297 130.987215 \nL 344.022235 130.485784 \nL 345.040174 130.860686 \nL 346.058112 130.533527 \nL 347.076051 130.005168 \nL 348.093989 130.537168 \nL 349.111928 130.907984 \nL 350.129867 131.056809 \nL 351.147805 131.377048 \nL 352.165744 131.072992 \nL 353.183682 130.899462 \nL 355.21956 129.383466 \nL 356.237498 129.654633 \nL 357.255437 131.146951 \nL 358.273375 131.715818 \nL 359.291314 133.011236 \nL 360.309252 133.911151 \nL 361.327191 135.114524 \nL 362.34513 134.554991 \nL 363.363068 133.828267 \nL 363.363068 133.828267 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 239.758125 \nL 43.78125 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 378.58125 239.758125 \nL 378.58125 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 239.758125 \nL 378.58125 239.758125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 22.318125 \nL 378.58125 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_16\">\n    <!-- Training... -->\n    <g transform=\"translate(181.789688 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M -19 4666 \nL 3928 4666 \nL 3928 4134 \nL 2272 4134 \nL 2272 0 \nL 1638 0 \nL 1638 4134 \nL -19 4134 \nL -19 4666 \nz\n\" id=\"DejaVuSans-54\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-54\"/>\n     <use x=\"46.333984\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"87.447266\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"148.726562\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"176.509766\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"239.888672\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"267.671875\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"331.050781\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"394.527344\" xlink:href=\"#DejaVuSans-2e\"/>\n     <use x=\"426.314453\" xlink:href=\"#DejaVuSans-2e\"/>\n     <use x=\"458.101562\" xlink:href=\"#DejaVuSans-2e\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pe558d97fd7\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"43.78125\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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"
     },
     "metadata": {
      "needs_background": "light"
     }
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Episode 300 \n",
      " 100 episode moving avg: 0.48269692\n"
     ]
    }
   ],
   "metadata": {
    "scrolled": true
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Tensor processing"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "source": [
    "def extract_tensors(experiences):\n",
    "    # Convert batch of Experiences to Experience of batches\n",
    "    batch = Experience(*zip(*experiences))\n",
    "\n",
    "    t1 = torch.cat(batch.state)\n",
    "    t2 = torch.cat(batch.action)\n",
    "    t3 = torch.cat(batch.reward)\n",
    "    t4 = torch.cat(batch.next_state)\n",
    "\n",
    "    return (t1,t2,t3,t4)"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Example of Experience(\\*zip(\\*experiences)) used above\n",
    "See https://stackoverflow.com/a/19343/3343043 for further explanation."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "source": [
    "e1 = Experience(1,1,1,1)\n",
    "e2 = Experience(2,2,2,2)\n",
    "e3 = Experience(3,3,3,3)\n",
    "\n",
    "experiences = [e1,e2,e3]\n",
    "experiences"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "[Experience(state=1, action=1, next_state=1, reward=1),\n",
       " Experience(state=2, action=2, next_state=2, reward=2),\n",
       " Experience(state=3, action=3, next_state=3, reward=3)]"
      ]
     },
     "metadata": {},
     "execution_count": 48
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "source": [
    "batch = Experience(*zip(*experiences))\n",
    "batch"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Experience(state=(1, 2, 3), action=(1, 2, 3), next_state=(1, 2, 3), reward=(1, 2, 3))"
      ]
     },
     "metadata": {},
     "execution_count": 49
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Q-Value Calculator"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "source": [
    "class QValues():\n",
    "    device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "    \n",
    "    @staticmethod\n",
    "    def get_current(policy_net, states, actions):\n",
    "        return policy_net(states).gather(dim=1, index=actions.unsqueeze(-1))\n",
    "    \n",
    "    @staticmethod        \n",
    "    def get_next(target_net, next_states):                \n",
    "        final_state_locations = next_states.flatten(start_dim=1) \\\n",
    "            .max(dim=1)[0].eq(0).type(torch.bool)\n",
    "        non_final_state_locations = (final_state_locations == False)\n",
    "        non_final_states = next_states[non_final_state_locations]\n",
    "        batch_size = next_states.shape[0]\n",
    "        values = torch.zeros(batch_size).to(QValues.device)\n",
    "        values[non_final_state_locations] = target_net(non_final_states).max(dim=1)[0].detach()\n",
    "        return values"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Main Program"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "source": [
    "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "print(\"Using device\", device.type, device)"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Using device cpu cpu\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "source": [
    "batch_size = 256\n",
    "gamma = 0.999\n",
    "eps_start = 1\n",
    "eps_end = 0.01\n",
    "eps_decay = 0.001\n",
    "target_update = 10\n",
    "memory_size = 100000\n",
    "lr = 0.001\n",
    "num_episodes = 300 # run for more episodes for better results\n",
    "\n",
    "\n",
    "em = CartPoleEnvManager(device)\n",
    "strategy = EpsilonGreedyStrategy(eps_start, eps_end, eps_decay)\n",
    "agent = Agent(strategy, em.num_actions_available(), device)\n",
    "memory = ReplayMemory(memory_size)\n",
    "\n",
    "policy_net = DQN(em.get_screen_height(), em.get_screen_width()).to(device)\n",
    "target_net = DQN(em.get_screen_height(), em.get_screen_width()).to(device)\n",
    "target_net.load_state_dict(policy_net.state_dict())\n",
    "target_net.eval()\n",
    "optimizer = optim.Adam(params=policy_net.parameters(), lr=lr)\n",
    "\n",
    "episode_durations = []\n",
    "for episode in range(num_episodes):\n",
    "    em.reset()\n",
    "    state = em.get_state()\n",
    "    \n",
    "    for timestep in count():\n",
    "        action = agent.select_action(state, policy_net)\n",
    "        reward = em.take_action(action)\n",
    "        next_state = em.get_state()\n",
    "        memory.push(Experience(state, action, next_state, reward))\n",
    "        state = next_state\n",
    "\n",
    "        if memory.can_provide_sample(batch_size):\n",
    "            experiences = memory.sample(batch_size)\n",
    "            states, actions, rewards, next_states = extract_tensors(experiences)\n",
    "            \n",
    "            current_q_values = QValues.get_current(policy_net, states, actions)\n",
    "            next_q_values = QValues.get_next(target_net, next_states)\n",
    "            target_q_values = (next_q_values * gamma) + rewards\n",
    "\n",
    "            loss = F.mse_loss(current_q_values, target_q_values.unsqueeze(1))\n",
    "            optimizer.zero_grad()\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            \n",
    "        if em.done:\n",
    "            episode_durations.append(timestep)\n",
    "            plot(episode_durations, 100)\n",
    "            break\n",
    "\n",
    "    if episode % target_update == 0:\n",
    "        target_net.load_state_dict(policy_net.state_dict())\n",
    "        \n",
    "em.close()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 388.965625 277.314375\" width=\"388.965625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-03T13:47:02.379183</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 277.314375 \nL 388.965625 277.314375 \nL 388.965625 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 46.965625 239.758125 \nL 381.765625 239.758125 \nL 381.765625 22.318125 \nL 46.965625 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m065dc2dfc5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.183807\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(59.002557 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"113.080736\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 50 -->\n      <g transform=\"translate(106.718236 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"163.977665\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 100 -->\n      <g transform=\"translate(154.433915 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"214.874594\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 150 -->\n      <g transform=\"translate(205.330844 254.356562)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"265.771523\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 200 -->\n      <g transform=\"translate(256.227773 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"316.668453\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 250 -->\n      <g transform=\"translate(307.124703 254.356562)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"367.565382\" xlink:href=\"#m065dc2dfc5\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 300 -->\n      <g transform=\"translate(358.021632 254.356562)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_8\">\n     <!-- Episode -->\n     <g transform=\"translate(194.728125 268.034687)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 628 4666 \nL 3578 4666 \nL 3578 4134 \nL 1259 4134 \nL 1259 2753 \nL 3481 2753 \nL 3481 2222 \nL 1259 2222 \nL 1259 531 \nL 3634 531 \nL 3634 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-45\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-45\"/>\n      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"126.660156\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"154.443359\" xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"206.542969\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"267.724609\" xlink:href=\"#DejaVuSans-64\"/>\n      <use x=\"331.201172\" xlink:href=\"#DejaVuSans-65\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m7065b5d20a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"229.874489\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0 -->\n      <g transform=\"translate(33.603125 233.673707)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"188.69267\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 50 -->\n      <g transform=\"translate(27.240625 192.491889)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"147.510852\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 100 -->\n      <g transform=\"translate(20.878125 151.310071)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"106.329034\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 150 -->\n      <g transform=\"translate(20.878125 110.128253)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"65.147216\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 200 -->\n      <g transform=\"translate(20.878125 68.946435)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#m7065b5d20a\" y=\"23.965398\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 250 -->\n      <g transform=\"translate(20.878125 27.764616)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_15\">\n     <!-- Duration -->\n     <g transform=\"translate(14.798438 152.75375)rotate(-90)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 1259 4147 \nL 1259 519 \nL 2022 519 \nQ 2988 519 3436 956 \nQ 3884 1394 3884 2338 \nQ 3884 3275 3436 3711 \nQ 2988 4147 2022 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 1925 4666 \nQ 3281 4666 3915 4102 \nQ 4550 3538 4550 2338 \nQ 4550 1131 3912 565 \nQ 3275 0 1925 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-44\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-44\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"140.380859\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"181.494141\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"242.773438\" xlink:href=\"#DejaVuSans-74\"/>\n      <use x=\"281.982422\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"309.765625\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"370.947266\" xlink:href=\"#DejaVuSans-6e\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#p7d7a235586)\" d=\"M 62.183807 220.814489 \nL 63.201745 200.22358 \nL 64.219684 221.638125 \nL 65.237623 220.814489 \nL 66.255561 205.989034 \nL 67.2735 217.519943 \nL 68.291438 216.696307 \nL 69.309377 210.930852 \nL 70.327315 212.578125 \nL 71.345254 219.990852 \nL 72.363193 219.167216 \nL 73.381131 209.28358 \nL 74.39907 219.167216 \nL 75.417008 215.049034 \nL 76.434947 212.578125 \nL 77.452886 222.461761 \nL 78.470824 219.167216 \nL 79.488763 216.696307 \nL 80.506701 218.34358 \nL 81.52464 220.814489 \nL 82.542578 219.167216 \nL 83.560517 215.87267 \nL 84.578456 223.285398 \nL 85.596394 215.87267 \nL 86.614333 216.696307 \nL 87.632271 220.814489 \nL 88.65021 217.519943 \nL 89.668149 212.578125 \nL 90.686087 218.34358 \nL 91.704026 216.696307 \nL 92.721964 221.638125 \nL 93.739903 219.990852 \nL 94.757841 210.930852 \nL 95.77578 215.049034 \nL 96.793719 211.754489 \nL 97.811657 148.334489 \nL 98.829596 218.34358 \nL 99.847534 214.225398 \nL 100.865473 221.638125 \nL 101.883412 219.167216 \nL 102.90135 219.990852 \nL 103.919289 219.990852 \nL 104.937227 219.167216 \nL 105.955166 219.990852 \nL 106.973104 219.990852 \nL 109.008982 221.638125 \nL 110.02692 219.167216 \nL 111.044859 220.814489 \nL 113.080736 222.461761 \nL 114.098675 222.461761 \nL 115.116613 217.519943 \nL 116.134552 222.461761 \nL 117.15249 222.461761 \nL 118.170429 221.638125 \nL 119.188367 202.694489 \nL 120.206306 222.461761 \nL 121.224245 215.049034 \nL 122.242183 219.167216 \nL 123.260122 215.049034 \nL 124.27806 213.401761 \nL 125.295999 175.514489 \nL 126.313938 218.34358 \nL 127.331876 212.578125 \nL 128.349815 219.990852 \nL 129.367753 223.285398 \nL 130.385692 223.285398 \nL 131.40363 219.990852 \nL 132.421569 208.459943 \nL 133.439508 220.814489 \nL 134.457446 215.049034 \nL 135.475385 220.814489 \nL 136.493323 220.814489 \nL 137.511262 221.638125 \nL 138.529201 216.696307 \nL 139.547139 222.461761 \nL 140.565078 215.87267 \nL 141.583016 221.638125 \nL 142.600955 217.519943 \nL 143.618893 224.109034 \nL 144.636832 219.167216 \nL 146.672709 220.814489 \nL 147.690648 222.461761 \nL 148.708586 217.519943 \nL 149.726525 218.34358 \nL 150.744464 222.461761 \nL 151.762402 221.638125 \nL 152.780341 210.107216 \nL 153.798279 221.638125 \nL 154.816218 221.638125 \nL 155.834156 217.519943 \nL 156.852095 203.518125 \nL 157.870034 223.285398 \nL 158.887972 219.167216 \nL 159.905911 191.16358 \nL 160.923849 211.754489 \nL 161.941788 197.75267 \nL 162.959727 223.285398 \nL 163.977665 217.519943 \nL 164.995604 216.696307 \nL 166.013542 140.921761 \nL 167.031481 210.107216 \nL 168.049419 201.047216 \nL 169.067358 217.519943 \nL 170.085297 210.107216 \nL 171.103235 204.341761 \nL 172.121174 176.338125 \nL 174.157051 215.049034 \nL 175.17499 218.34358 \nL 176.192928 203.518125 \nL 177.210867 218.34358 \nL 178.228805 201.047216 \nL 179.246744 212.578125 \nL 180.264682 208.459943 \nL 181.282621 199.399943 \nL 182.30056 198.576307 \nL 183.318498 216.696307 \nL 184.336437 159.865398 \nL 185.354375 211.754489 \nL 186.372314 200.22358 \nL 187.390253 194.458125 \nL 188.408191 159.041761 \nL 189.42613 174.690852 \nL 190.444068 203.518125 \nL 191.462007 197.75267 \nL 192.479945 195.281761 \nL 193.497884 201.047216 \nL 194.515823 196.105398 \nL 195.533761 199.399943 \nL 196.5517 193.634489 \nL 197.569638 198.576307 \nL 198.587577 202.694489 \nL 199.605516 202.694489 \nL 200.623454 166.454489 \nL 201.641393 202.694489 \nL 202.659331 183.750852 \nL 203.67727 177.985398 \nL 204.695208 193.634489 \nL 205.713147 154.92358 \nL 206.731086 188.69267 \nL 207.749024 168.925398 \nL 208.766963 194.458125 \nL 209.784901 186.221761 \nL 210.80284 172.219943 \nL 211.820779 206.81267 \nL 212.838717 185.398125 \nL 213.856656 182.927216 \nL 214.874594 135.979943 \nL 215.892533 196.105398 \nL 216.910471 195.281761 \nL 217.92841 196.105398 \nL 218.946349 189.516307 \nL 219.964287 190.339943 \nL 220.982226 173.04358 \nL 222.000164 177.985398 \nL 223.018103 183.750852 \nL 224.036042 169.749034 \nL 225.05398 212.578125 \nL 226.071919 189.516307 \nL 227.089857 148.334489 \nL 228.107796 190.339943 \nL 229.125734 174.690852 \nL 231.161612 171.396307 \nL 232.17955 187.869034 \nL 233.197489 135.979943 \nL 234.215427 182.10358 \nL 235.233366 184.574489 \nL 236.251305 191.16358 \nL 237.269243 162.336307 \nL 238.287182 175.514489 \nL 239.30512 182.10358 \nL 240.323059 171.396307 \nL 241.340997 198.576307 \nL 242.358936 175.514489 \nL 243.376875 163.98358 \nL 244.394813 163.98358 \nL 245.412752 185.398125 \nL 246.43069 186.221761 \nL 247.448629 191.16358 \nL 248.466568 190.339943 \nL 249.484506 158.218125 \nL 250.502445 178.809034 \nL 251.520383 140.921761 \nL 252.538322 181.279943 \nL 253.55626 149.981761 \nL 254.574199 187.869034 \nL 255.592138 173.04358 \nL 256.610076 190.339943 \nL 258.645953 173.867216 \nL 259.663892 186.221761 \nL 260.681831 126.919943 \nL 261.699769 125.27267 \nL 262.717708 176.338125 \nL 263.735646 174.690852 \nL 264.753585 178.809034 \nL 265.771523 199.399943 \nL 266.789462 175.514489 \nL 267.807401 224.109034 \nL 268.825339 162.336307 \nL 269.843278 183.750852 \nL 270.861216 186.221761 \nL 271.879155 181.279943 \nL 272.897094 175.514489 \nL 273.915032 96.445398 \nL 274.932971 103.034489 \nL 275.950909 182.927216 \nL 276.968848 132.685398 \nL 277.986786 149.158125 \nL 279.004725 168.925398 \nL 280.022664 127.74358 \nL 282.058541 168.101761 \nL 283.076479 166.454489 \nL 284.094418 184.574489 \nL 286.130295 168.101761 \nL 287.148234 164.807216 \nL 288.166172 163.159943 \nL 289.184111 192.810852 \nL 290.202049 126.096307 \nL 291.219988 162.336307 \nL 292.237927 137.627216 \nL 293.255865 187.869034 \nL 294.273804 127.74358 \nL 295.291742 136.80358 \nL 296.309681 162.336307 \nL 297.32762 168.101761 \nL 298.345558 138.450852 \nL 299.363497 155.747216 \nL 300.381435 151.629034 \nL 301.399374 187.869034 \nL 302.417312 182.927216 \nL 303.435251 184.574489 \nL 304.45319 191.987216 \nL 305.471128 185.398125 \nL 306.489067 139.274489 \nL 307.507005 175.514489 \nL 308.524944 168.101761 \nL 309.542883 205.989034 \nL 310.560821 164.807216 \nL 311.57876 182.927216 \nL 312.596698 154.099943 \nL 313.614637 166.454489 \nL 314.632575 189.516307 \nL 315.650514 193.634489 \nL 316.668453 143.39267 \nL 317.686391 179.63267 \nL 318.70433 196.929034 \nL 319.722268 114.565398 \nL 320.740207 187.869034 \nL 321.758146 147.510852 \nL 322.776084 168.101761 \nL 323.794023 181.279943 \nL 324.811961 144.216307 \nL 325.8299 123.625398 \nL 326.847838 189.516307 \nL 327.865777 149.158125 \nL 328.883716 150.805398 \nL 329.901654 150.805398 \nL 330.919593 105.505398 \nL 331.937531 141.745398 \nL 332.95547 156.570852 \nL 333.973409 197.75267 \nL 334.991347 157.394489 \nL 336.009286 198.576307 \nL 337.027224 170.57267 \nL 338.045163 134.33267 \nL 339.063101 203.518125 \nL 340.08104 150.805398 \nL 341.098979 147.510852 \nL 342.116917 174.690852 \nL 343.134856 134.33267 \nL 344.152794 180.456307 \nL 345.170733 66.794489 \nL 346.188672 95.621761 \nL 347.20661 32.201761 \nL 348.224549 117.036307 \nL 349.242487 186.221761 \nL 350.260426 154.099943 \nL 351.278364 109.62358 \nL 352.296303 182.927216 \nL 353.314242 153.276307 \nL 354.33218 70.91267 \nL 355.350119 154.92358 \nL 356.368057 112.094489 \nL 357.385996 137.627216 \nL 358.403935 148.334489 \nL 359.421873 167.278125 \nL 360.439812 155.747216 \nL 361.45775 160.689034 \nL 362.475689 168.101761 \nL 363.493627 161.51267 \nL 364.511566 158.218125 \nL 365.529505 89.856307 \nL 366.547443 169.749034 \nL 366.547443 169.749034 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#p7d7a235586)\" d=\"M 62.183807 229.874489 \nL 161.941788 229.874489 \nL 162.959727 216.399797 \nL 163.977665 216.366853 \nL 164.995604 216.531579 \nL 166.013542 215.724416 \nL 168.049419 215.567924 \nL 170.085297 215.502033 \nL 171.103235 215.436143 \nL 173.139112 214.826652 \nL 174.157051 214.785471 \nL 175.17499 214.876071 \nL 176.192928 214.71958 \nL 177.210867 214.752524 \nL 181.282621 214.258344 \nL 182.30056 214.06067 \nL 183.318498 214.019489 \nL 184.336437 213.426471 \nL 185.354375 213.385288 \nL 187.390253 212.940525 \nL 189.42613 211.902743 \nL 192.479945 211.383852 \nL 194.515823 210.972033 \nL 197.569638 210.428434 \nL 198.587577 210.337835 \nL 199.605516 210.881435 \nL 200.623454 210.362543 \nL 201.641393 210.247234 \nL 204.695208 209.192979 \nL 205.713147 208.542307 \nL 206.731086 208.237561 \nL 207.749024 207.726907 \nL 209.784901 207.125652 \nL 210.80284 206.631471 \nL 211.820779 206.507924 \nL 213.856656 205.766652 \nL 214.874594 204.901834 \nL 220.982226 203.21338 \nL 222.000164 202.768616 \nL 223.018103 202.455633 \nL 224.036042 201.961453 \nL 225.05398 201.936745 \nL 228.107796 201.146051 \nL 230.143673 200.297707 \nL 231.161612 199.778815 \nL 232.17955 199.424651 \nL 233.197489 198.584542 \nL 236.251305 197.719724 \nL 237.269243 197.134943 \nL 240.323059 195.833596 \nL 241.340997 195.594744 \nL 242.358936 195.191161 \nL 244.394813 194.079253 \nL 246.43069 193.362687 \nL 248.466568 192.769671 \nL 249.484506 192.127233 \nL 250.502445 191.740126 \nL 251.520383 190.965905 \nL 252.538322 190.554087 \nL 253.55626 189.837524 \nL 254.574199 189.615142 \nL 255.592138 189.129197 \nL 259.663892 187.794907 \nL 260.681831 186.872435 \nL 261.699769 186.213526 \nL 262.717708 185.859362 \nL 263.735646 185.628742 \nL 264.753585 185.183981 \nL 265.771523 185.00278 \nL 266.789462 184.590962 \nL 267.807401 185.422833 \nL 268.825339 184.945126 \nL 269.843278 184.772163 \nL 272.897094 183.882634 \nL 274.932971 182.161234 \nL 275.950909 181.840016 \nL 276.968848 180.983434 \nL 279.004725 179.945653 \nL 281.040602 178.570179 \nL 283.076479 177.837143 \nL 284.094418 177.697126 \nL 285.112357 177.293543 \nL 286.130295 177.375905 \nL 288.166172 176.535796 \nL 289.184111 176.519326 \nL 290.202049 176.18987 \nL 291.219988 176.066323 \nL 292.237927 175.407418 \nL 293.255865 175.30858 \nL 295.291742 173.990763 \nL 297.32762 173.340089 \nL 299.363497 172.35996 \nL 300.381435 171.849309 \nL 301.399374 171.701055 \nL 302.417312 171.865779 \nL 303.435251 171.684578 \nL 305.471128 171.841071 \nL 306.489067 171.297468 \nL 307.507005 171.503377 \nL 308.524944 171.297468 \nL 309.542883 171.668108 \nL 310.560821 171.371599 \nL 311.57876 171.338653 \nL 312.596698 171.157452 \nL 313.614637 170.753871 \nL 317.686391 170.811526 \nL 318.70433 170.827996 \nL 319.722268 170.012597 \nL 320.740207 169.996128 \nL 321.758146 169.567833 \nL 323.794023 169.551363 \nL 327.865777 168.060577 \nL 328.883716 168.085291 \nL 329.901654 167.689943 \nL 330.919593 166.998092 \nL 331.937531 166.685106 \nL 332.95547 166.536851 \nL 333.973409 166.63569 \nL 336.009286 167.014562 \nL 337.027224 166.874545 \nL 338.045163 166.306234 \nL 339.063101 166.718052 \nL 341.098979 166.125033 \nL 342.116917 166.157979 \nL 343.134856 165.515544 \nL 344.152794 165.56496 \nL 345.170733 164.593069 \nL 346.188672 163.909455 \nL 347.20661 162.377491 \nL 348.224549 161.685633 \nL 349.242487 161.636217 \nL 350.260426 161.273815 \nL 351.278364 160.787873 \nL 353.314242 160.952597 \nL 354.33218 159.848928 \nL 355.350119 159.898344 \nL 356.368057 159.1406 \nL 358.403935 158.36638 \nL 360.439812 158.036924 \nL 361.45775 157.781599 \nL 363.493627 158.555819 \nL 364.511566 158.374618 \nL 365.529505 157.526273 \nL 366.547443 157.435673 \nL 366.547443 157.435673 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 46.965625 239.758125 \nL 46.965625 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 381.765625 239.758125 \nL 381.765625 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 46.965625 239.758125 \nL 381.765625 239.758125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 46.965625 22.318125 \nL 381.765625 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_16\">\n    <!-- Training... -->\n    <g transform=\"translate(184.974063 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M -19 4666 \nL 3928 4666 \nL 3928 4134 \nL 2272 4134 \nL 2272 0 \nL 1638 0 \nL 1638 4134 \nL -19 4134 \nL -19 4666 \nz\n\" id=\"DejaVuSans-54\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-54\"/>\n     <use x=\"46.333984\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"87.447266\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"148.726562\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"176.509766\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"239.888672\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"267.671875\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"331.050781\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"394.527344\" xlink:href=\"#DejaVuSans-2e\"/>\n     <use x=\"426.314453\" xlink:href=\"#DejaVuSans-2e\"/>\n     <use x=\"458.101562\" xlink:href=\"#DejaVuSans-2e\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p7d7a235586\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"46.965625\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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"
     },
     "metadata": {
      "needs_background": "light"
     }
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Episode 300 \n",
      " 100 episode moving avg: 87.95\n"
     ]
    }
   ],
   "metadata": {
    "scrolled": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "source": [
    "assert get_moving_average(100, episode_durations)[-1] > 15"
   ],
   "outputs": [],
   "metadata": {}
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.9.6 64-bit"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  },
  "interpreter": {
   "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}