MC/MC Control with Epsilon-Greedy Policies Solution.ipynb

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   "source": [
    "%matplotlib inline\n",
    "\n",
    "import gym\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import sys\n",
    "\n",
    "from collections import defaultdict\n",
    "if \"../\" not in sys.path:\n",
    "  sys.path.append(\"../\") \n",
    "from lib.envs.blackjack import BlackjackEnv\n",
    "from lib import plotting\n",
    "\n",
    "matplotlib.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "env = BlackjackEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_epsilon_greedy_policy(Q, epsilon, nA):\n",
    "    \"\"\"\n",
    "    Creates an epsilon-greedy policy based on a given Q-function and epsilon.\n",
    "    \n",
    "    Args:\n",
    "        Q: A dictionary that maps from state -> action-values.\n",
    "            Each value is a numpy array of length nA (see below)\n",
    "        epsilon: The probability to select a random action . float between 0 and 1.\n",
    "        nA: Number of actions in the environment.\n",
    "    \n",
    "    Returns:\n",
    "        A function that takes the observation as an argument and returns\n",
    "        the probabilities for each action in the form of a numpy array of length nA.\n",
    "    \n",
    "    \"\"\"\n",
    "    def policy_fn(observation):\n",
    "        A = np.ones(nA, dtype=float) * epsilon / nA\n",
    "        best_action = np.argmax(Q[observation])\n",
    "        A[best_action] += (1.0 - epsilon)\n",
    "        return A\n",
    "    return policy_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def mc_control_epsilon_greedy(env, num_episodes, discount_factor=1.0, epsilon=0.1):\n",
    "    \"\"\"\n",
    "    Monte Carlo Control using Epsilon-Greedy policies.\n",
    "    Finds an optimal epsilon-greedy policy.\n",
    "    \n",
    "    Args:\n",
    "        env: OpenAI gym environment.\n",
    "        num_episodes: Number of episodes to sample.\n",
    "        discount_factor: Gamma discount factor.\n",
    "        epsilon: Chance the sample a random action. Float betwen 0 and 1.\n",
    "    \n",
    "    Returns:\n",
    "        A tuple (Q, policy).\n",
    "        Q is a dictionary mapping state -> action values.\n",
    "        policy is a function that takes an observation as an argument and returns\n",
    "        action probabilities\n",
    "    \"\"\"\n",
    "    \n",
    "    # Keeps track of sum and count of returns for each state\n",
    "    # to calculate an average. We could use an array to save all\n",
    "    # returns (like in the book) but that's memory inefficient.\n",
    "    returns_sum = defaultdict(float)\n",
    "    returns_count = defaultdict(float)\n",
    "    \n",
    "    # The final action-value function.\n",
    "    # A nested dictionary that maps state -> (action -> action-value).\n",
    "    Q = defaultdict(lambda: np.zeros(env.action_space.n))\n",
    "    \n",
    "    # The policy we're following\n",
    "    policy = make_epsilon_greedy_policy(Q, epsilon, env.action_space.n)\n",
    "    \n",
    "    for i_episode in range(1, num_episodes + 1):\n",
    "        # Print out which episode we're on, useful for debugging.\n",
    "        if i_episode % 1000 == 0:\n",
    "            print(\"\\rEpisode {}/{}.\".format(i_episode, num_episodes), end= \"\")\n",
    "            sys.stdout.flush()\n",
    "\n",
    "        # Generate an episode.\n",
    "        # An episode is an array of (state, action, reward) tuples\n",
    "        episode = []\n",
    "        state = env.reset()\n",
    "        for t in range(100):\n",
    "            probs = policy(state)\n",
    "            action = np.random.choice(np.arange(len(probs)), p=probs)\n",
    "            # action = np.argmax(probs)\n",
    "            next_state, reward, done, _ = env.step(action)\n",
    "            episode.append((state, action, reward))\n",
    "            if done:\n",
    "                break\n",
    "            state = next_state\n",
    "\n",
    "        # Find all (state, action) pairs we've visited in this episode\n",
    "        # We convert each state to a tuple so that we can use it as a dict key\n",
    "        sa_in_episode = set([(tuple(x[0]), x[1]) for x in episode])\n",
    "        for state, action in sa_in_episode:\n",
    "            sa_pair = (state, action)\n",
    "            # Find the first occurance of the (state, action) pair in the episode\n",
    "            first_occurence_idx = next(i for i,x in enumerate(episode)\n",
    "                                       if x[0] == state and x[1] == action)\n",
    "            # Sum up all rewards since the first occurance\n",
    "            G = sum([x[2]*(discount_factor**i) for i,x in enumerate(episode[first_occurence_idx:])])\n",
    "            # Calculate average return for this state over all sampled episodes\n",
    "            returns_sum[sa_pair] += G\n",
    "            returns_count[sa_pair] += 1.0\n",
    "            Q[state][action] = returns_sum[sa_pair] / returns_count[sa_pair]\n",
    "        \n",
    "        # The policy is improved implicitly by changing the Q dictionary\n",
    "    \n",
    "    return Q, policy"
   ]
  },
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      "\rEpisode 118000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 119000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 120000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 121000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 122000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 123000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 124000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 125000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 126000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 127000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 128000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 129000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 130000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 131000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 132000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 133000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 134000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 135000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 136000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 137000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 138000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 139000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 140000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 141000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 142000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 143000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 144000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 145000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 146000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 147000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 148000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 149000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 150000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 151000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 152000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 153000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 154000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 155000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 156000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 157000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 158000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 159000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 160000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 161000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 162000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 163000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 164000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 165000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 166000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 167000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 168000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 169000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 170000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 171000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 172000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 173000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 174000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 175000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 176000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 177000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 178000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 179000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 180000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 181000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 182000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 183000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 184000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 185000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 186000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 187000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 188000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 189000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 190000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 191000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 192000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 193000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 194000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 195000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 196000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 197000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 198000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 199000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 200000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 201000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 202000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 203000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 204000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 205000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 206000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 207000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 208000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 209000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 210000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 211000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 212000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 213000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 214000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 215000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 216000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 217000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 218000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 219000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 220000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 221000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 222000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 223000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 224000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 225000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 226000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 227000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 228000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 229000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 230000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 231000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 232000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 233000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 234000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 235000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 236000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 237000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 238000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 239000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 240000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 241000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 242000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 243000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 244000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 245000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 246000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 247000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 248000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 249000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 250000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 251000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 252000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 253000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 254000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 255000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 256000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 257000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 258000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 259000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 260000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 261000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 262000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 263000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 264000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 265000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 266000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 267000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 268000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 269000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 270000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 271000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 272000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 273000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 274000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 275000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 276000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 277000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 278000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 279000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 280000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 281000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 282000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 283000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 284000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 285000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 286000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 287000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 288000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 289000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 290000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 291000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 292000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 293000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 294000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 295000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 296000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 297000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 298000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 299000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 300000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 301000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 302000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 303000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 304000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 305000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 306000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 307000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 308000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 309000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 310000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 311000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 312000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 313000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 314000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 315000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 316000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 317000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 318000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 319000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 320000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 321000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 322000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 323000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 324000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 325000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 326000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 327000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 328000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 329000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 330000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 331000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 332000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 333000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 334000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 335000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 336000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 337000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 338000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 339000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 340000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 341000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 342000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 343000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 344000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 345000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 346000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 347000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 348000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 349000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 350000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 351000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 352000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 353000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 354000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 355000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 356000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 357000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 358000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 359000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 360000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 361000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 362000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 363000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 364000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 365000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 366000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 367000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 368000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 369000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 370000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 371000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 372000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 373000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 374000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 375000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 376000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 377000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 378000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 379000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 380000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 381000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 382000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 383000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 384000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 385000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 386000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 387000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 388000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 389000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 390000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 391000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 392000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 393000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 394000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 395000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 396000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 397000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 398000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 399000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 400000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 401000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 402000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 403000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 404000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 405000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 406000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 407000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 408000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 409000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 410000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 411000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 412000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 413000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 414000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 415000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 416000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 417000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 418000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 419000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 420000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 421000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 422000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 423000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 424000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 425000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 426000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 427000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 428000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 429000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 430000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 431000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 432000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 433000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 434000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 435000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 436000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 437000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 438000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 439000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 440000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 441000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 442000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 443000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 444000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 445000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 446000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 447000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 448000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 449000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 450000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 451000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 452000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 453000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 454000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 455000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 456000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 457000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 458000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 459000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 460000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 461000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 462000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 463000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 464000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 465000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 466000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 467000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 468000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 469000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 470000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 471000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 472000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 473000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 474000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 475000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 476000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 477000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 478000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 479000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 480000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 481000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 482000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 483000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 484000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 485000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 486000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 487000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 488000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 489000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 490000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 491000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 492000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 493000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 494000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 495000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 496000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 497000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 498000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 499000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 500000/500000."
     ]
    }
   ],
   "source": [
    "Q, policy = mc_control_epsilon_greedy(env, num_episodes=500000, epsilon=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 1000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 2000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 3000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 4000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 5000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 6000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 7000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 8000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 9000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 10000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 11000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 12000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 13000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 14000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 15000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 16000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 17000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 18000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 19000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 20000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 21000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 22000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 23000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 24000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 25000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 26000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 27000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 28000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 29000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 30000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 31000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 32000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 33000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 34000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 35000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 36000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 37000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 38000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 39000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 40000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 41000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 42000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 43000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 44000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 45000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 46000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 47000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 48000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 49000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 50000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 51000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 52000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 53000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 54000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 55000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 56000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 57000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 58000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 59000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 60000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 61000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 62000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 63000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 64000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 65000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 66000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 67000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 68000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 69000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 70000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 71000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 72000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 73000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 74000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 75000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 76000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 77000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 78000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 79000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 80000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 81000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 82000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 83000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 84000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 85000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 86000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 87000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 88000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 89000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 90000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 91000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 92000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 93000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 94000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 95000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 96000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 97000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 98000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 99000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 100000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 101000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 102000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 103000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 104000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 105000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 106000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 107000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 108000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 109000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 110000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 111000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 112000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 113000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 114000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 115000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 116000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 117000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 118000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 119000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 120000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 121000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 122000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 123000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 124000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 125000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 126000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 127000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 128000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 129000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 130000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 131000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 132000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 133000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 134000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 135000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 136000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 137000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 138000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 139000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 140000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 141000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 142000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 143000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 144000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 145000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 146000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 147000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 148000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 149000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 150000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 151000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 152000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 153000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 154000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 155000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 156000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 157000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 158000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 159000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 160000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 161000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 162000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 163000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 164000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 165000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 166000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 167000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 168000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 169000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 170000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 171000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 172000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 173000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 174000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 175000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 176000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 177000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 178000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 179000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 180000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 181000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 182000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 183000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 184000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 185000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 186000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 187000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 188000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 189000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 190000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 191000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 192000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 193000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 194000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 195000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 196000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 197000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 198000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 199000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 200000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 201000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 202000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 203000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 204000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 205000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 206000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 207000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 208000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 209000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 210000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 211000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 212000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 213000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 214000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 215000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 216000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 217000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 218000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 219000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 220000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 221000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 222000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 223000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 224000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 225000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 226000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 227000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 228000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 229000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 230000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 231000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 232000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 233000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 234000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 235000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 236000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 237000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 238000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 239000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 240000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 241000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 242000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 243000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 244000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 245000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 246000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      "\rEpisode 247000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 248000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 249000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 250000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 251000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 252000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 253000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 254000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 255000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 256000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      "\rEpisode 257000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 258000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 259000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 260000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 261000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 262000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 263000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 264000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 265000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 266000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      "\rEpisode 267000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 268000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 269000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 270000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 271000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 272000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 273000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 274000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 275000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 276000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 277000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 278000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 279000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 280000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 281000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 282000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 283000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 284000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 285000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 286000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 287000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 288000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 289000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 290000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 291000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 292000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 293000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 294000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 295000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 296000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 297000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 298000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 299000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 300000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 301000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 302000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 303000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 304000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 305000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 306000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 307000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 308000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 309000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 310000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 311000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 312000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 313000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 314000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 315000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 316000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 317000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 318000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 319000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 320000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 321000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 322000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 323000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 324000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 325000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 326000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 327000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 328000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 329000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 330000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 331000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 332000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 333000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 334000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 335000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 336000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 337000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 338000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 339000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 340000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 341000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 342000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 343000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 344000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 345000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 346000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 347000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 348000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 349000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 350000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 351000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 352000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 353000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 354000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 355000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 356000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 357000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 358000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 359000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 360000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 361000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 362000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 363000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 364000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 365000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 366000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 367000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 368000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 369000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 370000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 371000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 372000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 373000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 374000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 375000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 376000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 377000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 378000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 379000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 380000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 381000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 382000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 383000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 384000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 385000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 386000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 387000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 388000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 389000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 390000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 391000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 392000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 393000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 394000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 395000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 396000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 397000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 398000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 399000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 400000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 401000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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   ],
   "source": [
    "\n",
    "def mc_control_epsilon_greedy(env, num_episodes, discount_factor=1.0, epsilon=0.1):\n",
    "    \"\"\"\n",
    "    Monte Carlo Control using Epsilon-Greedy policies.\n",
    "    Finds an optimal epsilon-greedy policy.\n",
    "    \n",
    "    Args:\n",
    "        env: OpenAI gym environment.\n",
    "        num_episodes: Number of episodes to sample.\n",
    "        discount_factor: Gamma discount factor.\n",
    "        epsilon: Chance the sample a random action. Float betwen 0 and 1.\n",
    "    \n",
    "    Returns:\n",
    "        A tuple (Q, policy).\n",
    "        Q is a dictionary mapping state -> action values.\n",
    "        policy is a function that takes an observation as an argument and returns\n",
    "        action probabilities\n",
    "    \"\"\"\n",
    "    \n",
    "    # Keeps track of sum and count of returns for each state\n",
    "    # to calculate an average. We could use an array to save all\n",
    "    # returns (like in the book) but that's memory inefficient.\n",
    "    returns_sum = defaultdict(float)\n",
    "    returns_count = defaultdict(float)\n",
    "    \n",
    "    # The final action-value function.\n",
    "    # A nested dictionary that maps state -> (action -> action-value).\n",
    "    Q = defaultdict(lambda: np.zeros(env.action_space.n))\n",
    "    \n",
    "    # The policy we're following\n",
    "    policy = make_epsilon_greedy_policy(Q, epsilon, env.action_space.n)\n",
    "    \n",
    "    for i_episode in range(1, num_episodes + 1):\n",
    "        # Print out which episode we're on, useful for debugging.\n",
    "        if i_episode % 1000 == 0:\n",
    "            print(\"\\rEpisode {}/{}.\".format(i_episode, num_episodes), end= \"\")\n",
    "            sys.stdout.flush()\n",
    "\n",
    "        # Generate an episode.\n",
    "        # An episode is an array of (state, action, reward) tuples\n",
    "        episode = []\n",
    "        state = env.reset()\n",
    "        for t in range(100):\n",
    "            probs = policy(state)\n",
    "            # action = np.random.choice(np.arange(len(probs)), p=probs)\n",
    "            action = np.argmax(probs)\n",
    "            next_state, reward, done, _ = env.step(action)\n",
    "            episode.append((state, action, reward))\n",
    "            if done:\n",
    "                break\n",
    "            state = next_state\n",
    "\n",
    "        # Find all (state, action) pairs we've visited in this episode\n",
    "        # We convert each state to a tuple so that we can use it as a dict key\n",
    "        sa_in_episode = set([(tuple(x[0]), x[1]) for x in episode])\n",
    "        for state, action in sa_in_episode:\n",
    "            sa_pair = (state, action)\n",
    "            # Find the first occurance of the (state, action) pair in the episode\n",
    "            first_occurence_idx = next(i for i,x in enumerate(episode)\n",
    "                                       if x[0] == state and x[1] == action)\n",
    "            # Sum up all rewards since the first occurance\n",
    "            G = sum([x[2]*(discount_factor**i) for i,x in enumerate(episode[first_occurence_idx:])])\n",
    "            # Calculate average return for this state over all sampled episodes\n",
    "            returns_sum[sa_pair] += G\n",
    "            returns_count[sa_pair] += 1.0\n",
    "            Q[state][action] = returns_sum[sa_pair] / returns_count[sa_pair]\n",
    "        \n",
    "        # The policy is improved implicitly by changing the Q dictionary\n",
    "    \n",
    "    return Q, policy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
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     "output_type": "stream",
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     "output_type": "stream",
     "text": [
      "\rEpisode 34000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 35000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 36000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 37000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 38000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 39000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 40000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 41000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 42000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 43000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 44000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 45000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 46000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 47000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 48000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 49000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 50000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 51000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 52000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 53000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 54000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 55000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 56000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 57000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 58000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 59000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 60000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 61000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 62000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 63000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 64000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 65000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 66000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 67000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 68000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 69000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 70000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 71000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 72000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 73000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 74000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 75000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 76000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 77000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 78000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 79000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 80000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 81000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 82000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 83000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 84000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 85000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 86000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 87000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 88000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 89000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 90000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 91000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 92000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 93000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 94000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 95000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 96000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 97000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 98000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 99000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 100000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 101000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 102000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 103000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 104000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 105000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 106000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 107000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 108000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 109000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 110000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 111000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 112000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 113000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 114000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 115000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 116000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 117000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 118000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 119000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 120000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 121000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 122000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 123000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 124000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 125000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 126000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 127000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 128000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 129000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 130000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 131000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 132000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 133000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 134000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 135000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 136000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 137000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 138000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 139000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 140000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 141000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 142000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 143000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 144000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 145000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 146000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 147000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 148000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 149000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 150000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 151000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 152000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 153000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 154000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 155000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 156000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 157000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 158000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 159000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 160000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 161000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 162000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 163000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 164000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 165000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 166000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 167000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 168000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 169000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 170000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 171000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 172000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 173000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 174000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 175000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 176000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 177000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 178000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 179000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 180000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 181000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 182000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 183000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 184000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 185000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 186000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 187000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 188000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 189000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 190000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 191000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 192000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 193000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 194000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 195000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 196000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 197000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 198000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 199000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 200000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 201000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 202000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 203000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 204000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 205000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 206000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      "\rEpisode 207000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 208000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 209000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 210000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 211000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 212000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 213000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 214000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 215000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 216000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 217000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 218000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 219000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 220000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 221000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 222000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 223000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 224000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 225000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 226000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 227000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 228000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 229000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 230000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 231000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 232000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 233000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 234000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 235000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      "\rEpisode 236000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 237000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 238000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 239000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 240000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 241000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 242000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 243000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 244000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 245000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 246000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 247000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 248000/500000."
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "\rEpisode 249000/500000."
     ]
    },
    {
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     "output_type": "stream",
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      "\rEpisode 250000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 251000/500000."
     ]
    },
    {
     "name": "stdout",
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     "text": [
      "\rEpisode 252000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 253000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 254000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 255000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 256000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 257000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 258000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 259000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 260000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 261000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 262000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 263000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 264000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 265000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 266000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 267000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 268000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 269000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 270000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 271000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 272000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 273000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 274000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 275000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 276000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 277000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 278000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 279000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 280000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 281000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 282000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 283000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 284000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 285000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 286000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 287000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 288000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 289000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 290000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 291000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 292000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 293000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 294000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 295000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 296000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 297000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 298000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 299000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 300000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 301000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 302000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 303000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 304000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 305000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 306000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 307000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 308000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 309000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 310000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 311000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 312000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 313000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 314000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 315000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 316000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 317000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 318000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 319000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 320000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 321000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 322000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 323000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 324000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 325000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 326000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 327000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 328000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 329000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 330000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 331000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 332000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 333000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 334000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 335000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 336000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 337000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 338000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 339000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 340000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 341000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 342000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 343000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 344000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 345000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 346000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 347000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 348000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 349000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 350000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 351000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 352000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 353000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 354000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 355000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 356000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 357000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 358000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 359000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 360000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 361000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 362000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 363000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 364000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 365000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 366000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 367000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 368000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 369000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 370000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 371000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 372000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 373000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 374000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 375000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 376000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 377000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 378000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 379000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 380000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 381000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 382000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 383000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 384000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 385000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 386000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 387000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 388000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 389000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 390000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 391000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 392000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 393000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 394000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 395000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 396000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 397000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 398000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 399000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 400000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 401000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 402000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 403000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 404000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 405000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 406000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 407000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 408000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 409000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 410000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 411000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 412000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 413000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 414000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 415000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 416000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 417000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 418000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 419000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 420000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 421000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 422000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 423000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 424000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 425000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 426000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 427000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 428000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 429000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 430000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 431000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 432000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 433000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 434000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 435000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 436000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 437000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 438000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 439000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 440000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 441000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 442000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 443000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 444000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 445000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 446000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 447000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 448000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 449000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 450000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 451000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 452000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 453000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 454000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 455000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 456000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 457000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 458000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 459000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 460000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 461000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 462000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 463000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 464000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 465000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 466000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 467000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 468000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 469000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 470000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 471000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 472000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 473000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 474000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 475000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 476000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 477000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 478000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 479000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 480000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 481000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 482000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 483000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 484000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 485000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 486000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 487000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 488000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 489000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 490000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 491000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 492000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 493000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 494000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 495000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 496000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 497000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 498000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 499000/500000."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\rEpisode 500000/500000."
     ]
    }
   ],
   "source": [
    "\n",
    "Q1, policy1 = mc_control_epsilon_greedy(env, num_episodes=500000, epsilon=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22913304dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For plotting: Create value function from action-value function\n",
    "# by picking the best action at each state\n",
    "V = defaultdict(float)\n",
    "for state, actions in Q.items():\n",
    "    action_value = np.max(actions)\n",
    "    V[state] = action_value\n",
    "plotting.plot_value_function(V, title=\"Optimal Value Function\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    }
   ],
   "source": [
    "V1 = defaultdict(float)\n",
    "for state, actions in Q1.items():\n",
    "    action_value = np.max(actions)\n",
    "    V1[state] = action_value\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for i in range(len(V1)):\n",
    "    if V1[i] != V[i]:\n",
    "        print(\"not \", i)  # 事实证明，两个写法的e-greedy 是等效的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}